You can not select more than 25 topics Topics must start with a letter or number, can include dashes ('-') and can be up to 35 characters long.
 
 
 
BA_MicroMDAEPiano/mdaEPianoData.h

21123 lines
2.2 MiB

short epianoData[] = {
-7,-23,-28,-16,-30,-17,-28,-16,-31,-15,-34,-12,-35,-6,-42,4,-58,44,-227,-1690,
-1412,-1295,-1059,-908,-685,-518,-308,-152,31,182,368,531,731,948,1195,1439,1694,1950,2228,2487,
2742,2988,3225,3428,3624,3790,3969,4108,4253,4382,4495,4591,4647,4689,4737,4794,4846,4920,5003,5077,
5189,5290,5405,5517,5635,5779,5921,6049,6197,6345,6541,6759,6986,7224,7484,7727,7983,8235,8497,8760,
9049,9319,9617,9871,10137,10372,10601,10817,10998,11123,11227,11284,11322,11335,11339,11340,11310,11255,11174,11066,
10940,10791,10631,10462,10285,10073,9889,9673,9472,9265,9048,8819,8590,8315,8063,7788,7531,7295,7078,6880,
6699,6510,6328,6170,6015,5838,5663,5478,5293,5090,4885,4673,4433,4181,3908,3602,3281,2952,2637,2349,
2108,1917,1763,1641,1547,1504,1459,1426,1399,1388,1347,1302,1263,1207,1139,1077,1019,934,810,660,
508,350,187,55,-46,-119,-158,-175,-184,-166,-160,-157,-146,-201,-259,-354,-446,-553,-685,-825,
-986,-1198,-1415,-1663,-1937,-2206,-2475,-2743,-2957,-3179,-3362,-3539,-3682,-3805,-3926,-4075,-4237,-4419,-4620,-4839,
-5074,-5311,-5544,-5779,-6030,-6290,-6565,-6853,-7124,-7377,-7612,-7825,-8020,-8163,-8253,-8307,-8333,-8332,-8306,-8303,
-8303,-8331,-8386,-8442,-8513,-8586,-8646,-8723,-8811,-8888,-8964,-9042,-9114,-9175,-9216,-9238,-9250,-9225,-9171,-9087,
-8978,-8869,-8772,-8705,-8677,-8675,-8707,-8769,-8852,-8965,-9081,-9196,-9322,-9446,-9554,-9656,-9751,-9845,-9923,-9993,
-10039,-10074,-10042,-10007,-9941,-9909,-9856,-9819,-9785,-9804,-9814,-9839,-9861,-9871,-9887,-9876,-9844,-9798,-9695,-9586,
-9454,-9316,-9154,-8974,-8733,-8486,-8197,-7899,-7577,-7256,-6961,-6654,-6357,-6101,-5835,-5578,-5341,-5105,-4881,-4640,
-4386,-4131,-3873,-3604,-3335,-3057,-2802,-2534,-2270,-2007,-1749,-1493,-1253,-1029,-828,-633,-451,-267,-88,100,
281,485,673,864,1084,1310,1533,1771,2019,2248,2476,2694,2917,3126,3328,3506,3680,3849,4010,4167,
4328,4512,4695,4891,5089,5291,5487,5660,5821,5980,6114,6220,6315,6374,6421,6430,6420,6387,6331,6236,
6131,6005,5871,5722,5590,5476,5374,5259,5179,5078,4961,4846,4700,4543,4382,4188,3993,3796,3580,3376,
3163,2960,2756,2541,2323,2123,1918,1748,1610,1490,1417,1383,1352,1348,1349,1338,1311,1294,1258,1216,
1152,1092,1036,982,918,863,814,762,691,643,588,551,524,523,538,572,601,606,627,610,
567,483,370,232,57,-137,-333,-536,-736,-947,-1162,-1390,-1597,-1814,-2029,-2229,-2401,-2567,-2726,-2855,
-2980,-3112,-3235,-3387,-3546,-3755,-3968,-4185,-4410,-4632,-4850,-5028,-5201,-5344,-5494,-5612,-5715,-5804,-5858,-5910,
-5934,-5931,-5911,-5865,-5787,-5712,-5638,-5566,-5498,-5472,-5463,-5443,-5438,-5437,-5430,-5397,-5373,-5333,-5293,-5245,
-5178,-5108,-5046,-4958,-4870,-4774,-4667,-4550,-4416,-4271,-4161,-4063,-3978,-3912,-3860,-3839,-3813,-3778,-3759,-3715,
-3664,-3587,-3508,-3421,-3314,-3196,-3072,-2918,-2761,-2578,-2369,-2163,-1932,-1696,-1477,-1248,-1018,-782,-538,-309,
-61,191,456,733,1030,1331,1649,1948,2258,2578,2895,3209,3530,3854,4173,4464,4755,5030,5300,5555,
5806,6045,6284,6498,6701,6890,7079,7240,7395,7518,7620,7715,7771,7829,7902,7970,8032,8104,8160,8222,
8266,8308,8350,8402,8452,8503,8563,8616,8668,8725,8781,8827,8851,8857,8857,8846,8824,8815,8823,8845,
8869,8896,8932,8946,8963,8971,8999,9002,9012,9015,9020,9030,9040,9035,9024,8995,8936,8847,8736,8613,
8480,8332,8201,8071,7922,7775,7650,7500,7338,7170,6994,6819,6642,6452,6292,6121,5972,5809,5641,5461,
5251,5019,4789,4540,4294,4044,3801,3585,3387,3180,3008,2841,2680,2527,2372,2225,2091,1955,1846,1755,
1665,1585,1487,1378,1265,1136,997,851,712,569,432,325,231,148,83,28,-29,-87,-170,-259,
-341,-427,-514,-593,-685,-778,-880,-1014,-1156,-1310,-1489,-1679,-1866,-2063,-2264,-2447,-2620,-2776,-2934,-3089,
-3232,-3400,-3572,-3761,-3944,-4120,-4294,-4470,-4625,-4780,-4956,-5131,-5303,-5479,-5664,-5866,-6052,-6237,-6409,-6574,
-6702,-6812,-6901,-6993,-7058,-7138,-7205,-7279,-7351,-7414,-7451,-7507,-7535,-7555,-7582,-7610,-7651,-7674,-7704,-7774,
-7837,-7897,-7945,-7988,-8008,-8017,-8004,-8001,-8007,-8005,-8021,-8040,-8074,-8117,-8156,-8212,-8269,-8312,-8383,-8429,
-8504,-8587,-8685,-8777,-8899,-8995,-9092,-9169,-9228,-9288,-9324,-9351,-9388,-9403,-9432,-9461,-9486,-9510,-9535,-9547,
-9557,-9527,-9480,-9435,-9363,-9286,-9201,-9102,-8995,-8866,-8711,-8538,-8356,-8156,-7944,-7727,-7488,-7255,-6996,-6767,
-6513,-6277,-6039,-5785,-5514,-5250,-4963,-4665,-4363,-4081,-3796,-3505,-3212,-2939,-2653,-2396,-2136,-1893,-1664,-1438,
-1215,-1007,-802,-601,-412,-205,-36,160,370,574,776,995,1212,1423,1631,1841,2063,2263,2456,2645,
2806,2968,3109,3230,3367,3490,3611,3741,3877,4020,4154,4299,4456,4600,4735,4867,5004,5127,5250,5349,
5449,5526,5572,5605,5596,5573,5518,5440,5357,5266,5170,5080,5002,4934,4867,4800,4725,4670,4582,4500,
4434,4332,4238,4142,4046,3943,3827,3688,3542,3378,3194,3003,2816,2636,2473,2322,2207,2109,2040,1965,
1910,1848,1814,1751,1720,1671,1615,1566,1510,1449,1383,1295,1198,1088,954,809,656,510,387,264,
179,98,49,4,-42,-99,-157,-227,-307,-416,-506,-616,-738,-872,-1010,-1158,-1341,-1530,-1742,-1947,
-2172,-2395,-2575,-2754,-2919,-3032,-3151,-3257,-3360,-3460,-3567,-3674,-3795,-3918,-4040,-4166,-4293,-4425,-4556,-4670,
-4800,-4924,-5050,-5187,-5290,-5393,-5464,-5504,-5526,-5521,-5480,-5438,-5382,-5326,-5272,-5218,-5183,-5151,-5108,-5072,
-5043,-5003,-4967,-4933,-4895,-4872,-4834,-4805,-4761,-4707,-4650,-4563,-4454,-4328,-4191,-4036,-3884,-3738,-3609,-3476,
-3355,-3258,-3164,-3065,-2971,-2875,-2792,-2688,-2590,-2496,-2393,-2266,-2141,-1993,-1835,-1654,-1436,-1220,-992,-735,
-489,-219,24,263,509,741,972,1219,1462,1708,1950,2190,2444,2710,2972,3247,3531,3805,4094,4369,
4644,4918,5164,5421,5657,5858,6056,6240,6413,6592,6748,6905,7061,7220,7351,7467,7594,7720,7833,7940,
8058,8158,8266,8341,8399,8460,8504,8533,8560,8574,8584,8589,8596,8628,8669,8717,8761,8806,8847,8873,
8884,8910,8935,8955,8970,8982,8979,8967,8925,8877,8830,8759,8673,8592,8497,8410,8331,8269,8207,8166,
8100,8045,7972,7882,7786,7677,7564,7447,7320,7181,7032,6885,6711,6532,6344,6152,5936,5731,5531,5351,
5181,5030,4903,4786,4665,4554,4427,4293,4158,4020,3881,3736,3580,3433,3286,3126,2978,2814,2640,2473,
2314,2137,1990,1865,1763,1680,1598,1539,1491,1424,1371,1290,1214,1118,1011,894,779,643,526,399,
273,133,-23,-169,-322,-473,-606,-722,-825,-910,-996,-1083,-1148,-1234,-1344,-1429,-1563,-1708,-1875,-2041,
-2221,-2398,-2576,-2738,-2926,-3095,-3293,-3477,-3658,-3836,-4000,-4134,-4273,-4392,-4506,-4613,-4714,-4814,-4931,-5049,
-5185,-5336,-5504,-5676,-5827,-5981,-6134,-6281,-6422,-6558,-6691,-6827,-6954,-7047,-7148,-7233,-7297,-7356,-7391,-7424,
-7450,-7461,-7497,-7544,-7597,-7686,-7766,-7858,-7946,-8028,-8108,-8199,-8256,-8335,-8395,-8458,-8502,-8553,-8579,-8612,
-8618,-8635,-8627,-8620,-8606,-8597,-8600,-8637,-8647,-8710,-8760,-8830,-8895,-8957,-9006,-9059,-9091,-9116,-9126,-9125,
-9125,-9107,-9078,-9040,-8984,-8916,-8840,-8747,-8645,-8552,-8456,-8365,-8280,-8174,-8083,-7980,-7881,-7751,-7617,-7464,
-7299,-7100,-6902,-6685,-6471,-6249,-6009,-5777,-5534,-5273,-5013,-4753,-4489,-4232,-3975,-3701,-3440,-3176,-2912,-2661,
-2388,-2142,-1881,-1615,-1371,-1124,-868,-627,-386,-157,63,286,504,699,918,1115,1314,1510,1717,1932,
2154,2358,2580,2797,3006,3195,3400,3581,3745,3896,4049,4178,4313,4429,4556,4667,4778,4873,4964,5067,
5157,5257,5351,5454,5560,5663,5771,5877,5964,6037,6072,6086,6092,6058,6003,5949,5888,5815,5732,5645,
5547,5451,5343,5264,5149,5063,4966,4869,4794,4736,4667,4613,4537,4445,4337,4202,4056,3904,3732,3567,
3396,3233,3072,2917,2771,2637,2514,2405,2297,2198,2107,2025,1977,1944,1899,1864,1834,1777,1699,1589,
1483,1358,1214,1070,935,779,638,514,407,296,201,103,19,-72,-153,-237,-303,-369,-428,-503,
-584,-703,-828,-991,-1178,-1378,-1577,-1806,-2036,-2232,-2446,-2625,-2808,-2954,-3107,-3249,-3394,-3523,-3650,-3764,
-3875,-3989,-4083,-4180,-4304,-4424,-4555,-4701,-4862,-5023,-5194,-5361,-5517,-5641,-5751,-5823,-5890,-5921,-5945,-5957,
-5969,-5952,-5936,-5901,-5867,-5829,-5782,-5729,-5691,-5648,-5616,-5593,-5583,-5587,-5587,-5582,-5570,-5543,-5484,-5407,
-5309,-5215,-5109,-4985,-4858,-4739,-4591,-4468,-4338,-4211,-4078,-3939,-3804,-3696,-3574,-3452,-3347,-3240,-3138,-3011,
-2872,-2712,-2525,-2325,-2112,-1874,-1642,-1374,-1109,-840,-578,-295,-26,253,536,810,1095,1376,1648,1939,
2217,2508,2780,3072,3373,3673,3972,4284,4572,4864,5127,5392,5641,5879,6098,6319,6523,6719,6902,7079,
7253,7423,7571,7740,7896,8051,8204,8336,8462,8597,8716,8810,8891,8959,9006,9040,9072,9108,9143,9182,
9229,9280,9336,9380,9429,9498,9552,9618,9713,9752,9829,9877,9923,9952,9982,9977,9954,9913,9860,9771,
9710,9635,9589,9525,9472,9419,9362,9308,9234,9188,9127,9056,8981,8898,8804,8701,8582,8447,8300,8116,
7908,7703,7471,7249,7012,6807,6616,6414,6233,6060,5909,5756,5595,5449,5308,5165,5008,4874,4720,4578,
4421,4253,4078,3900,3688,3493,3284,3090,2900,2729,2572,2439,2302,2212,2128,2047,1966,1889,1811,1726,
1632,1542,1467,1357,1253,1130,994,840,673,497,328,152,-8,-169,-315,-453,-569,-666,-771,-861,
-960,-1075,-1206,-1331,-1466,-1616,-1765,-1920,-2087,-2272,-2473,-2692,-2901,-3123,-3336,-3544,-3737,-3935,-4111,-4268,
-4395,-4524,-4641,-4734,-4845,-4969,-5106,-5239,-5363,-5513,-5647,-5795,-5945,-6097,-6274,-6440,-6594,-6750,-6906,-7047,
-7178,-7298,-7397,-7476,-7528,-7568,-7617,-7640,-7683,-7724,-7792,-7846,-7911,-7986,-8068,-8154,-8249,-8337,-8437,-8544,
-8644,-8735,-8839,-8929,-9006,-9081,-9130,-9180,-9198,-9209,-9225,-9245,-9260,-9299,-9337,-9388,-9449,-9511,-9582,-9666,
-9731,-9818,-9874,-9947,-10007,-10047,-10100,-10127,-10146,-10137,-10103,-10066,-9998,-9928,-9842,-9769,-9665,-9571,-9477,-9387,
-9305,-9204,-9105,-9013,-8892,-8766,-8622,-8465,-8300,-8120,-7922,-7715,-7496,-7257,-7011,-6756,-6497,-6226,-5954,-5692,
-5430,-5156,-4894,-4638,-4389,-4139,-3874,-3612,-3359,-3096,-2828,-2556,-2292,-2015,-1744,-1474,-1212,-949,-689,-443,
-208,14,240,459,666,891,1100,1324,1556,1772,2000,2227,2445,2664,2884,3092,3299,3487,3681,3853,
4016,4160,4308,4419,4523,4618,4698,4794,4864,4955,5062,5164,5272,5372,5478,5575,5658,5730,5793,5829,
5847,5863,5846,5827,5792,5738,5679,5597,5499,5385,5279,5169,5070,4998,4926,4874,4827,4787,4732,4678,
4633,4570,4482,4394,4277,4171,4035,3904,3771,3631,3469,3326,3159,2995,2832,2698,2563,2461,2358,2302,
2226,2193,2128,2088,2019,1957,1858,1780,1653,1526,1392,1254,1106,966,812,646,493,330,197,39,
-80,-179,-271,-355,-416,-472,-530,-599,-685,-784,-901,-1050,-1192,-1358,-1531,-1713,-1884,-2061,-2241,-2420,
-2583,-2748,-2905,-3048,-3177,-3296,-3391,-3483,-3540,-3592,-3665,-3722,-3801,-3902,-4021,-4147,-4282,-4417,-4559,-4691,
-4828,-4955,-5054,-5179,-5258,-5341,-5397,-5461,-5500,-5519,-5518,-5504,-5475,-5434,-5406,-5365,-5360,-5360,-5359,-5369,
-5410,-5435,-5456,-5479,-5499,-5504,-5503,-5462,-5446,-5399,-5344,-5282,-5224,-5143,-5030,-4919,-4799,-4670,-4531,-4412,
-4302,-4207,-4111,-4017,-3936,-3850,-3766,-3655,-3542,-3416,-3277,-3107,-2929,-2744,-2540,-2325,-2104,-1875,-1625,-1358,
-1091,-836,-546,-281,-13,254,516,780,1040,1302,1583,1855,2140,2428,2725,3025,3331,3616,3919,4197,
4487,4762,5020,5284,5541,5772,5999,6234,6457,6669,6855,7057,7254,7441,7628,7815,7989,8145,8292,8436,
8561,8673,8773,8875,8957,9041,9097,9156,9215,9269,9302,9358,9414,9465,9517,9562,9631,9697,9747,9796,
9837,9848,9865,9857,9834,9817,9778,9731,9685,9621,9576,9512,9447,9395,9327,9268,9211,9156,9116,9073,
9023,8983,8931,8860,8789,8680,8573,8439,8295,8141,7982,7818,7662,7491,7334,7162,7004,6861,6714,6555,
6431,6302,6168,6056,5951,5835,5722,5593,5458,5310,5143,4968,4776,4596,4413,4230,4044,3878,3718,3557,
3407,3261,3139,3010,2891,2793,2681,2603,2501,2416,2321,2206,2089,1966,1816,1654,1484,1309,1143,969,
794,650,500,362,216,75,-55,-172,-293,-405,-512,-632,-735,-862,-987,-1116,-1276,-1440,-1605,-1801,
-2001,-2217,-2410,-2603,-2790,-2968,-3128,-3279,-3429,-3574,-3715,-3845,-3975,-4099,-4210,-4321,-4436,-4562,-4693,-4806,
-4949,-5107,-5254,-5420,-5600,-5765,-5935,-6078,-6211,-6342,-6455,-6546,-6636,-6725,-6801,-6874,-6934,-6996,-7063,-7115,
-7187,-7245,-7320,-7403,-7490,-7582,-7703,-7802,-7933,-8050,-8163,-8275,-8355,-8430,-8507,-8559,-8609,-8653,-8698,-8744,
-8774,-8817,-8868,-8909,-8952,-9009,-9060,-9116,-9177,-9247,-9330,-9400,-9478,-9551,-9614,-9659,-9692,-9706,-9707,-9692,
-9665,-9625,-9584,-9543,-9477,-9413,-9345,-9285,-9198,-9125,-9032,-8947,-8853,-8758,-8656,-8553,-8425,-8284,-8141,-7984,
-7802,-7616,-7408,-7204,-6973,-6749,-6514,-6288,-6056,-5809,-5560,-5331,-5093,-4841,-4592,-4350,-4108,-3855,-3608,-3350,
-3089,-2811,-2549,-2288,-2035,-1772,-1498,-1254,-1025,-779,-537,-302,-74,140,379,606,827,1061,1291,1509,
1737,1953,2189,2416,2645,2858,3069,3267,3449,3608,3757,3901,4000,4118,4226,4318,4414,4513,4618,4728,
4825,4920,5012,5115,5198,5266,5346,5418,5476,5522,5558,5564,5560,5515,5454,5387,5300,5195,5115,5021,
4925,4847,4783,4727,4683,4615,4562,4507,4446,4389,4324,4256,4188,4107,4027,3922,3798,3669,3517,3358,
3193,3027,2875,2735,2610,2493,2402,2316,2252,2184,2117,2052,1981,1913,1836,1770,1690,1597,1482,1379,
1255,1098,940,768,595,424,263,122,-21,-133,-237,-324,-400,-474,-565,-632,-722,-811,-915,-1029,
-1142,-1265,-1407,-1541,-1698,-1856,-2043,-2224,-2405,-2576,-2744,-2892,-2997,-3105,-3182,-3256,-3328,-3373,-3427,-3478,
-3538,-3601,-3671,-3757,-3845,-3923,-4004,-4104,-4187,-4292,-4393,-4502,-4588,-4677,-4759,-4815,-4823,-4834,-4818,-4791,
-4760,-4710,-4668,-4640,-4609,-4592,-4583,-4563,-4566,-4570,-4563,-4568,-4575,-4574,-4572,-4582,-4568,-4553,-4514,-4476,
-4408,-4321,-4207,-4093,-3975,-3850,-3711,-3584,-3481,-3365,-3260,-3146,-3059,-2960,-2846,-2724,-2611,-2476,-2349,-2203,
-2045,-1884,-1705,-1499,-1297,-1065,-814,-562,-306,-49,211,468,712,956,1208,1445,1683,1914,2163,2415,
2655,2908,3169,3419,3677,3923,4176,4431,4685,4920,5173,5410,5632,5841,6042,6239,6429,6613,6787,6975,
7140,7299,7456,7626,7791,7921,8078,8229,8357,8486,8600,8707,8792,8864,8929,8996,9040,9080,9115,9152,
9200,9234,9281,9328,9380,9413,9452,9487,9520,9535,9547,9549,9542,9528,9496,9445,9391,9322,9233,9144,
9051,8953,8847,8763,8677,8607,8535,8474,8398,8333,8251,8177,8077,7991,7878,7767,7643,7511,7363,7206,
7051,6879,6701,6533,6350,6179,6012,5858,5723,5607,5494,5382,5286,5169,5074,4946,4830,4709,4567,4419,
4275,4112,3951,3787,3616,3440,3263,3087,2922,2753,2604,2464,2330,2219,2122,2021,1931,1836,1735,1629,
1492,1366,1228,1079,919,764,598,435,262,83,-87,-260,-430,-588,-737,-868,-998,-1120,-1213,-1314,
-1423,-1514,-1625,-1744,-1881,-2020,-2174,-2328,-2487,-2643,-2816,-2976,-3147,-3325,-3479,-3632,-3787,-3919,-4052,-4177,
-4289,-4386,-4479,-4559,-4642,-4729,-4820,-4931,-5044,-5183,-5313,-5450,-5597,-5739,-5874,-6018,-6150,-6288,-6427,-6536,
-6652,-6747,-6837,-6921,-6982,-7054,-7105,-7152,-7194,-7248,-7303,-7379,-7457,-7559,-7656,-7760,-7859,-7976,-8072,-8168,
-8250,-8347,-8428,-8500,-8558,-8623,-8670,-8704,-8735,-8762,-8760,-8772,-8774,-8793,-8815,-8838,-8885,-8911,-8989,-9022,
-9063,-9107,-9141,-9164,-9174,-9172,-9184,-9156,-9126,-9090,-9037,-8969,-8898,-8801,-8716,-8613,-8513,-8402,-8313,-8209,
-8103,-8013,-7906,-7802,-7683,-7554,-7420,-7275,-7107,-6934,-6753,-6570,-6371,-6159,-5945,-5734,-5506,-5272,-5046,-4814,
-4579,-4344,-4117,-3883,-3645,-3407,-3164,-2924,-2672,-2422,-2163,-1915,-1639,-1393,-1141,-898,-659,-416,-179,48,
283,510,734,939,1153,1360,1572,1783,2004,2216,2437,2647,2866,3072,3285,3464,3641,3795,3945,4067,
4178,4302,4398,4492,4568,4650,4727,4799,4854,4934,4992,5065,5129,5210,5288,5365,5430,5484,5536,5546,
5529,5517,5477,5416,5354,5271,5197,5117,5035,4955,4872,4799,4726,4650,4567,4532,4472,4430,4393,4359,
4330,4264,4201,4117,4007,3887,3755,3626,3456,3313,3167,3035,2903,2780,2676,2571,2468,2369,2276,2197,
2146,2083,2048,1981,1929,1847,1752,1651,1539,1385,1240,1079,915,754,591,440,303,166,35,-70,
-179,-282,-391,-476,-561,-642,-724,-801,-893,-991,-1114,-1255,-1401,-1579,-1759,-1941,-2130,-2312,-2490,-2644,
-2779,-2905,-3039,-3124,-3223,-3312,-3400,-3470,-3543,-3603,-3663,-3729,-3797,-3858,-3955,-4051,-4164,-4269,-4402,-4520,
-4642,-4751,-4838,-4906,-4953,-4982,-5011,-5012,-5006,-4989,-4969,-4952,-4923,-4890,-4853,-4829,-4798,-4772,-4758,-4758,
-4765,-4775,-4784,-4805,-4793,-4787,-4754,-4708,-4656,-4572,-4473,-4371,-4241,-4120,-4001,-3866,-3744,-3615,-3476,-3345,
-3210,-3072,-2943,-2812,-2684,-2563,-2420,-2289,-2129,-1965,-1768,-1574,-1361,-1124,-886,-629,-363,-95,166,436,
698,963,1225,1484,1742,2016,2265,2528,2787,3038,3312,3565,3822,4092,4362,4622,4881,5133,5391,5645,
5878,6110,6329,6540,6743,6936,7121,7306,7472,7655,7819,7992,8157,8316,8477,8644,8777,8922,9040,9150,
9252,9333,9403,9464,9515,9559,9613,9651,9690,9708,9735,9772,9799,9826,9868,9895,9933,9946,9977,9991,
10002,9987,9964,9926,9864,9790,9703,9611,9516,9417,9330,9239,9148,9053,8962,8875,8803,8712,8646,8557,
8475,8397,8306,8216,8114,7991,7856,7708,7539,7375,7168,6984,6808,6641,6465,6313,6157,6012,5884,5743,
5623,5506,5376,5269,5147,5034,4906,4768,4643,4498,4331,4166,3978,3795,3600,3397,3214,3049,2884,2731,
2589,2459,2335,2226,2103,2003,1879,1755,1651,1520,1411,1271,1126,980,820,637,461,268,77,-116,
-297,-481,-640,-795,-923,-1056,-1172,-1292,-1402,-1526,-1639,-1769,-1891,-2019,-2150,-2287,-2452,-2604,-2764,-2940,
-3125,-3308,-3486,-3669,-3848,-4012,-4152,-4280,-4407,-4501,-4604,-4703,-4802,-4903,-5011,-5114,-5227,-5332,-5451,-5569,
-5708,-5850,-5991,-6135,-6286,-6440,-6580,-6711,-6858,-6987,-7098,-7172,-7273,-7332,-7400,-7458,-7521,-7593,-7670,-7742,
-7831,-7922,-8016,-8116,-8219,-8336,-8440,-8554,-8681,-8800,-8910,-9017,-9114,-9204,-9270,-9311,-9347,-9384,-9402,-9421,
-9445,-9472,-9507,-9530,-9570,-9621,-9643,-9689,-9712,-9754,-9788,-9813,-9827,-9851,-9849,-9837,-9810,-9770,-9709,-9641,
-9545,-9440,-9325,-9209,-9089,-8968,-8859,-8735,-8605,-8491,-8361,-8215,-8080,-7922,-7773,-7611,-7429,-7255,-7076,-6864,
-6663,-6439,-6199,-5961,-5706,-5451,-5216,-4950,-4702,-4445,-4195,-3940,-3691,-3439,-3180,-2905,-2639,-2368,-2097,-1825,
-1556,-1279,-1012,-737,-466,-195,64,326,570,829,1057,1288,1526,1742,1968,2194,2411,2650,2882,3100,
3336,3549,3765,3959,4147,4336,4497,4654,4801,4944,5061,5154,5248,5317,5379,5427,5499,5560,5618,5674,
5744,5813,5883,5948,6009,6055,6095,6107,6105,6092,6072,6023,5982,5912,5840,5759,5640,5529,5436,5321,
5223,5129,5044,4973,4906,4851,4808,4757,4708,4651,4567,4480,4386,4270,4147,4024,3878,3733,3584,3439,
3271,3114,2956,2813,2661,2541,2440,2341,2255,2182,2111,2040,1973,1881,1793,1670,1547,1398,1255,1108,
937,774,610,439,273,97,-67,-212,-361,-495,-605,-701,-791,-872,-960,-1021,-1123,-1213,-1325,-1449,
-1591,-1747,-1906,-2070,-2227,-2395,-2559,-2713,-2867,-3020,-3170,-3296,-3394,-3516,-3591,-3662,-3711,-3768,-3820,-3862,
-3909,-3974,-4044,-4131,-4240,-4338,-4446,-4564,-4663,-4766,-4866,-4940,-5021,-5086,-5136,-5179,-5201,-5222,-5219,-5198,
-5173,-5126,-5086,-5060,-5024,-5003,-4994,-4985,-5000,-5001,-5014,-5039,-5052,-5042,-5028,-4999,-4956,-4897,-4827,-4752,
-4660,-4552,-4443,-4310,-4163,-4025,-3877,-3732,-3597,-3448,-3313,-3202,-3063,-2942,-2812,-2701,-2556,-2391,-2215,-2039,
-1830,-1622,-1389,-1172,-938,-680,-422,-172,100,351,616,871,1137,1391,1657,1891,2140,2383,2636,2883,
3124,3384,3644,3885,4148,4411,4664,4921,5145,5398,5621,5845,6047,6272,6458,6662,6836,7016,7202,7376,
7541,7722,7889,8054,8195,8327,8471,8602,8710,8828,8906,9000,9072,9137,9194,9237,9270,9301,9322,9342,
9374,9389,9420,9456,9478,9510,9549,9568,9571,9563,9533,9510,9457,9402,9346,9265,9189,9097,9003,8904,
8814,8708,8599,8509,8411,8324,8249,8180,8117,8050,7987,7901,7820,7708,7588,7467,7333,7181,7027,6869,
6708,6549,6393,6241,6085,5933,5788,5659,5532,5419,5315,5215,5115,5033,4928,4823,4712,4585,4438,4294,
4128,3953,3790,3622,3456,3297,3126,2975,2828,2678,2541,2419,2299,2184,2066,1966,1869,1782,1672,1571,
1442,1316,1161,997,828,654,470,292,125,-49,-207,-365,-505,-653,-788,-919,-1032,-1154,-1259,-1369,
-1474,-1585,-1692,-1808,-1939,-2086,-2239,-2415,-2593,-2764,-2939,-3111,-3274,-3434,-3580,-3726,-3861,-3990,-4103,-4218,
-4323,-4431,-4526,-4626,-4722,-4819,-4923,-5035,-5151,-5287,-5431,-5585,-5744,-5901,-6060,-6216,-6351,-6476,-6600,-6708,
-6805,-6908,-6986,-7074,-7157,-7243,-7307,-7384,-7468,-7539,-7612,-7696,-7810,-7907,-8036,-8154,-8283,-8417,-8535,-8652,
-8757,-8837,-8928,-8996,-9056,-9100,-9137,-9181,-9223,-9248,-9280,-9304,-9331,-9362,-9392,-9419,-9458,-9499,-9537,-9587,
-9629,-9685,-9707,-9718,-9721,-9699,-9659,-9614,-9554,-9488,-9416,-9319,-9232,-9145,-9040,-8929,-8815,-8707,-8597,-8473,
-8346,-8229,-8105,-7977,-7842,-7704,-7543,-7374,-7190,-6996,-6777,-6559,-6321,-6094,-5867,-5621,-5379,-5141,-4893,-4644,
-4395,-4146,-3893,-3634,-3381,-3111,-2853,-2581,-2319,-2053,-1781,-1498,-1216,-946,-675,-406,-139,113,356,595,
832,1072,1290,1539,1767,2009,2226,2456,2677,2896,3112,3336,3541,3751,3940,4118,4294,4453,4587,4706,
4815,4909,5000,5068,5140,5220,5288,5356,5447,5512,5596,5657,5723,5789,5856,5894,5954,5987,6011,6011,
6000,5968,5928,5851,5791,5699,5625,5521,5435,5360,5301,5230,5178,5128,5078,5030,4976,4919,4875,4816,
4754,4678,4605,4497,4389,4275,4135,3982,3821,3673,3509,3360,3214,3087,2973,2878,2786,2709,2622,2545,
2470,2381,2299,2205,2093,1995,1873,1755,1615,1464,1295,1126,940,770,599,434,290,152,15,-88,
-180,-265,-357,-443,-528,-635,-727,-837,-968,-1085,-1209,-1352,-1495,-1666,-1833,-2008,-2186,-2346,-2505,-2652,
-2783,-2911,-3009,-3095,-3160,-3227,-3281,-3337,-3397,-3475,-3551,-3629,-3715,-3807,-3905,-3999,-4105,-4212,-4327,-4451,
-4548,-4658,-4740,-4807,-4872,-4912,-4940,-4945,-4924,-4911,-4890,-4861,-4850,-4842,-4842,-4842,-4850,-4859,-4879,-4887,
-4893,-4909,-4930,-4944,-4932,-4916,-4887,-4851,-4791,-4705,-4615,-4504,-4381,-4236,-4110,-3952,-3819,-3689,-3573,-3445,
-3330,-3197,-3076,-2934,-2809,-2663,-2512,-2360,-2169,-1975,-1785,-1578,-1348,-1120,-870,-618,-354,-82,174,441,
702,951,1202,1449,1694,1937,2172,2422,2676,2917,3174,3427,3685,3946,4192,4447,4711,4950,5197,5415,
5643,5858,6075,6273,6483,6678,6862,7053,7225,7400,7575,7732,7902,8055,8221,8365,8502,8626,8757,8871,
8966,9048,9117,9180,9215,9257,9295,9331,9359,9407,9441,9485,9515,9534,9570,9589,9597,9612,9609,9607,
9574,9552,9517,9463,9390,9318,9223,9127,9021,8903,8800,8708,8606,8523,8445,8373,8296,8221,8148,8068,
7970,7870,7770,7657,7546,7409,7276,7130,6986,6820,6658,6483,6317,6135,5982,5834,5701,5570,5469,5370,
5266,5158,5051,4946,4835,4693,4569,4432,4288,4136,3963,3811,3644,3466,3297,3127,2949,2773,2609,2458,
2326,2195,2091,1985,1884,1775,1672,1553,1438,1301,1153,1013,837,673,504,340,179,1,-185,-358,
-532,-684,-856,-996,-1119,-1243,-1362,-1455,-1557,-1650,-1749,-1882,-2002,-2132,-2290,-2431,-2583,-2745,-2908,-3085,
-3230,-3388,-3552,-3714,-3850,-4011,-4125,-4273,-4381,-4471,-4576,-4657,-4734,-4818,-4916,-5022,-5124,-5257,-5387,-5529,
-5677,-5822,-5961,-6107,-6246,-6380,-6513,-6646,-6764,-6885,-6980,-7081,-7171,-7244,-7313,-7381,-7440,-7499,-7572,-7654,
-7752,-7853,-7963,-8077,-8194,-8307,-8425,-8535,-8647,-8739,-8824,-8909,-8978,-9048,-9107,-9144,-9186,-9219,-9239,-9245,
-9260,-9266,-9282,-9305,-9337,-9384,-9414,-9449,-9489,-9515,-9544,-9555,-9562,-9549,-9531,-9484,-9460,-9398,-9338,-9267,
-9188,-9090,-8986,-8872,-8767,-8643,-8524,-8407,-8301,-8180,-8070,-7942,-7820,-7687,-7535,-7376,-7206,-7024,-6830,-6639,
-6427,-6211,-5991,-5768,-5535,-5297,-5065,-4822,-4569,-4329,-4082,-3847,-3598,-3361,-3116,-2856,-2604,-2343,-2077,-1804,
-1529,-1262,-1002,-750,-481,-238,12,242,475,712,930,1155,1376,1583,1790,2007,2223,2428,2637,2841,
3046,3249,3445,3637,3799,3958,4086,4209,4332,4429,4515,4591,4669,4743,4792,4856,4907,4973,5019,5080,
5144,5202,5264,5323,5372,5435,5458,5480,5491,5472,5441,5389,5339,5265,5183,5112,5024,4948,4874,4797,
4731,4668,4610,4557,4512,4476,4439,4390,4352,4305,4248,4170,4083,3969,3852,3712,3573,3432,3283,3138,
3007,2880,2761,2640,2533,2426,2335,2249,2164,2100,2031,1961,1888,1799,1710,1603,1481,1352,1197,1032,
867,696,543,372,223,100,-40,-154,-273,-379,-469,-558,-642,-715,-790,-875,-966,-1055,-1149,-1267,
-1401,-1536,-1700,-1860,-2025,-2195,-2347,-2488,-2619,-2736,-2839,-2940,-3020,-3108,-3165,-3222,-3287,-3339,-3397,-3446,
-3507,-3575,-3650,-3725,-3826,-3923,-4033,-4143,-4262,-4365,-4467,-4541,-4612,-4662,-4689,-4712,-4719,-4724,-4716,-4707,
-4686,-4682,-4654,-4640,-4621,-4618,-4630,-4615,-4619,-4639,-4656,-4661,-4662,-4670,-4647,-4603,-4553,-4489,-4410,-4300,
-4186,-4062,-3939,-3800,-3666,-3529,-3385,-3255,-3109,-2959,-2827,-2687,-2547,-2398,-2256,-2098,-1936,-1757,-1576,-1385,
-1176,-941,-711,-458,-203,61,326,573,832,1089,1336,1594,1836,2081,2308,2552,2796,3043,3280,3532,
3779,4032,4275,4511,4761,5008,5234,5463,5688,5905,6121,6319,6509,6704,6886,7050,7221,7385,7546,7698,
7852,8018,8163,8309,8460,8586,8708,8811,8913,8992,9061,9112,9174,9219,9267,9308,9327,9362,9400,9426,
9453,9473,9508,9521,9538,9556,9578,9583,9589,9584,9553,9507,9451,9383,9301,9205,9112,9011,8906,8822,
8715,8619,8537,8448,8357,8282,8198,8114,8022,7935,7852,7759,7654,7555,7428,7293,7145,6978,6817,6654,
6473,6309,6148,5999,5849,5711,5587,5466,5343,5228,5112,4999,4878,4760,4641,4510,4373,4235,4083,3917,
3744,3557,3367,3193,3007,2844,2677,2515,2372,2240,2121,2005,1891,1768,1662,1547,1438,1309,1183,1056,
918,766,616,446,279,99,-85,-260,-431,-611,-751,-908,-1039,-1157,-1279,-1397,-1497,-1625,-1730,-1849,
-1969,-2099,-2236,-2372,-2513,-2672,-2822,-2993,-3156,-3324,-3511,-3687,-3849,-4005,-4157,-4279,-4412,-4517,-4628,-4739,
-4829,-4935,-5045,-5139,-5261,-5378,-5508,-5645,-5774,-5908,-6057,-6203,-6350,-6500,-6642,-6789,-6921,-7036,-7151,-7243,
-7332,-7395,-7469,-7546,-7610,-7673,-7743,-7827,-7900,-7997,-8086,-8187,-8289,-8385,-8488,-8595,-8685,-8801,-8888,-8980,
-9062,-9135,-9193,-9229,-9260,-9286,-9298,-9316,-9330,-9346,-9357,-9393,-9410,-9437,-9469,-9502,-9527,-9543,-9560,-9578,
-9579,-9576,-9563,-9547,-9523,-9477,-9414,-9344,-9255,-9148,-9055,-8942,-8827,-8716,-8600,-8480,-8370,-8243,-8132,-7985,
-7849,-7709,-7551,-7383,-7210,-7020,-6822,-6620,-6416,-6201,-5966,-5720,-5488,-5222,-4978,-4719,-4469,-4221,-3975,-3722,
-3483,-3215,-2956,-2693,-2423,-2154,-1892,-1603,-1344,-1066,-787,-529,-262,2,243,502,737,973,1209,1423,
1640,1851,2057,2261,2476,2681,2895,3107,3324,3509,3707,3897,4083,4244,4398,4538,4674,4786,4878,4974,
5050,5117,5186,5245,5289,5344,5397,5436,5513,5556,5624,5685,5745,5784,5825,5842,5849,5841,5815,5786,
5731,5672,5594,5504,5424,5327,5235,5138,5041,4954,4878,4805,4749,4692,4624,4571,4524,4461,4375,4292,
4195,4091,3969,3845,3712,3569,3422,3262,3119,2969,2826,2693,2570,2453,2348,2243,2161,2088,2007,1937,
1872,1784,1683,1584,1462,1337,1204,1062,912,760,596,447,291,137,10,-131,-255,-379,-478,-585,
-676,-759,-839,-936,-1023,-1121,-1233,-1354,-1490,-1631,-1784,-1948,-2110,-2272,-2433,-2595,-2748,-2893,-3017,-3147,
-3256,-3363,-3453,-3527,-3598,-3667,-3732,-3802,-3878,-3945,-4031,-4116,-4220,-4321,-4426,-4531,-4645,-4748,-4838,-4922,
-5000,-5065,-5104,-5138,-5167,-5173,-5168,-5156,-5140,-5110,-5095,-5062,-5047,-5021,-5010,-5004,-5007,-5007,-5010,-5012,
-5008,-5003,-4967,-4938,-4890,-4833,-4760,-4669,-4564,-4452,-4329,-4198,-4055,-3926,-3785,-3642,-3506,-3369,-3226,-3085,
-2953,-2816,-2675,-2531,-2367,-2206,-2022,-1835,-1630,-1411,-1193,-947,-693,-442,-183,91,348,607,868,1126,
1390,1640,1902,2156,2415,2671,2928,3179,3438,3708,3954,4216,4480,4738,4987,5236,5485,5722,5948,6174,
6382,6592,6778,6957,7141,7310,7466,7640,7806,7964,8106,8238,8375,8495,8608,8717,8808,8906,8980,9044,
9100,9151,9182,9215,9253,9277,9293,9295,9312,9323,9340,9348,9368,9375,9387,9386,9382,9367,9351,9310,
9270,9218,9156,9081,8997,8927,8852,8750,8673,8578,8488,8399,8318,8237,8165,8082,8012,7930,7855,7773,
7678,7567,7462,7334,7203,7058,6910,6748,6585,6435,6273,6120,5959,5818,5665,5533,5391,5257,5136,5013,
4885,4772,4653,4528,4386,4242,4097,3941,3765,3592,3418,3253,3073,2907,2734,2584,2430,2286,2154,2023,
1893,1769,1653,1548,1433,1330,1222,1108,983,845,700,563,400,243,92,-62,-218,-366,-524,-653,
-799,-930,-1048,-1167,-1288,-1397,-1510,-1614,-1718,-1837,-1947,-2087,-2207,-2353,-2499,-2667,-2824,-2992,-3154,-3323,
-3482,-3641,-3786,-3938,-4072,-4212,-4335,-4452,-4565,-4676,-4801,-4906,-5012,-5128,-5241,-5356,-5486,-5617,-5766,-5905,
-6047,-6198,-6345,-6484,-6617,-6744,-6863,-6977,-7078,-7161,-7246,-7328,-7390,-7468,-7536,-7617,-7683,-7740,-7826,-7901,
-7986,-8080,-8176,-8287,-8380,-8475,-8584,-8674,-8760,-8834,-8902,-8958,-9012,-9048,-9081,-9118,-9148,-9172,-9208,-9238,
-9257,-9288,-9320,-9346,-9383,-9425,-9456,-9495,-9529,-9548,-9568,-9583,-9576,-9560,-9535,-9489,-9441,-9383,-9308,-9235,
-9143,-9057,-8961,-8858,-8759,-8636,-8514,-8399,-8267,-8137,-7988,-7836,-7687,-7528,-7345,-7162,-6966,-6755,-6533,-6305,
-6073,-5839,-5597,-5351,-5093,-4841,-4592,-4326,-4066,-3806,-3535,-3270,-3003,-2733,-2454,-2172,-1912,-1644,-1377,-1104,
-846,-577,-317,-64,187,427,657,893,1116,1339,1565,1781,1994,2211,2427,2646,2853,3064,3271,3466,
3654,3833,4002,4166,4321,4450,4582,4689,4795,4878,4958,5041,5114,5186,5257,5332,5401,5462,5534,5596,
5659,5707,5762,5799,5827,5838,5832,5817,5782,5743,5680,5616,5541,5458,5374,5288,5197,5110,5032,4959,
4899,4831,4763,4710,4653,4583,4523,4444,4363,4271,4154,4045,3919,3789,3645,3506,3353,3212,3069,2932,
2810,2688,2577,2485,2387,2308,2219,2145,2067,1986,1890,1806,1698,1588,1460,1321,1176,1031,867,708,
552,396,247,103,-36,-159,-280,-383,-487,-589,-686,-783,-894,-988,-1098,-1219,-1350,-1474,-1627,-1781,
-1953,-2114,-2278,-2457,-2612,-2765,-2903,-3047,-3174,-3291,-3390,-3487,-3569,-3651,-3724,-3800,-3870,-3948,-4029,-4115,
-4206,-4289,-4390,-4502,-4602,-4709,-4805,-4890,-4974,-5042,-5103,-5143,-5180,-5197,-5205,-5201,-5197,-5175,-5149,-5126,
-5111,-5083,-5064,-5056,-5038,-5028,-5024,-5020,-5014,-5007,-4990,-4959,-4927,-4868,-4803,-4725,-4637,-4538,-4426,-4300,
-4172,-4037,-3905,-3771,-3633,-3488,-3370,-3225,-3096,-2963,-2817,-2681,-2532,-2379,-2209,-2029,-1828,-1631,-1409,-1180,
-943,-696,-443,-184,73,328,591,860,1112,1367,1622,1876,2125,2378,2636,2878,3141,3392,3650,3907,
4170,4420,4681,4934,5179,5416,5636,5849,6068,6261,6452,6642,6827,7003,7170,7327,7495,7647,7802,7944,
8089,8225,8352,8475,8586,8684,8773,8860,8931,8995,9037,9070,9103,9132,9153,9186,9215,9234,9255,9275,
9293,9313,9328,9342,9348,9356,9339,9313,9276,9246,9195,9132,9061,8983,8889,8785,8684,8591,8493,8401,
8314,8225,8149,8065,7982,7900,7817,7724,7627,7529,7417,7292,7162,7022,6874,6720,6560,6401,6230,6059,
5892,5742,5595,5443,5321,5193,5070,4951,4830,4721,4608,4485,4362,4229,4099,3953,3798,3643,3478,3312,
3144,2973,2807,2643,2487,2338,2200,2065,1947,1832,1725,1619,1511,1396,1291,1178,1048,919,787,645,
488,330,163,-2,-170,-331,-494,-653,-808,-949,-1084,-1217,-1334,-1447,-1570,-1676,-1785,-1910,-2032,-2154,
-2298,-2437,-2584,-2740,-2899,-3058,-3237,-3407,-3577,-3738,-3894,-4043,-4191,-4332,-4464,-4582,-4696,-4811,-4913,-5021,
-5119,-5233,-5353,-5475,-5589,-5726,-5857,-5997,-6141,-6288,-6437,-6582,-6715,-6848,-6971,-7086,-7198,-7289,-7385,-7468,
-7540,-7604,-7668,-7735,-7792,-7867,-7942,-8026,-8101,-8194,-8286,-8391,-8484,-8584,-8689,-8778,-8854,-8943,-9008,-9065,
-9118,-9165,-9196,-9229,-9248,-9257,-9273,-9280,-9289,-9308,-9330,-9354,-9378,-9403,-9433,-9464,-9490,-9509,-9519,-9527,
-9519,-9499,-9464,-9424,-9369,-9303,-9226,-9152,-9049,-8949,-8838,-8736,-8621,-8502,-8379,-8264,-8142,-8008,-7882,-7739,
-7588,-7432,-7261,-7084,-6900,-6698,-6484,-6275,-6042,-5808,-5571,-5333,-5087,-4845,-4589,-4347,-4083,-3830,-3564,-3316,
-3063,-2805,-2542,-2289,-2025,-1764,-1500,-1241,-982,-722,-466,-215,33,268,510,736,956,1181,1400,1613,
1828,2046,2253,2474,2673,2884,3081,3278,3460,3651,3820,3985,4133,4271,4410,4533,4635,4731,4815,4903,
4974,5042,5108,5182,5245,5314,5382,5450,5507,5566,5612,5655,5682,5707,5707,5703,5685,5644,5605,5555,
5481,5399,5325,5235,5141,5058,4966,4887,4816,4745,4684,4625,4564,4504,4440,4362,4283,4192,4094,3986,
3874,3753,3620,3487,3339,3198,3064,2927,2798,2669,2545,2437,2346,2257,2178,2103,2039,1963,1882,1792,
1705,1596,1484,1372,1241,1107,953,806,665,519,369,234,93,-24,-149,-264,-361,-458,-546,-629,
-712,-811,-917,-1030,-1145,-1277,-1415,-1562,-1726,-1884,-2049,-2214,-2382,-2526,-2687,-2828,-2964,-3089,-3207,-3310,
-3411,-3498,-3579,-3652,-3727,-3806,-3887,-3983,-4069,-4161,-4270,-4380,-4482,-4594,-4691,-4784,-4875,-4955,-5020,-5082,
-5122,-5154,-5168,-5178,-5176,-5155,-5132,-5112,-5082,-5048,-5022,-5005,-4990,-4972,-4963,-4965,-4949,-4940,-4915,-4892,
-4856,-4808,-4744,-4680,-4595,-4502,-4389,-4279,-4162,-4032,-3892,-3756,-3608,-3470,-3334,-3184,-3059,-2922,-2788,-2644,
-2504,-2341,-2179,-1997,-1814,-1618,-1405,-1177,-948,-700,-455,-193,60,319,587,851,1114,1380,1641,1905,
2156,2421,2672,2933,3190,3447,3708,3974,4234,4493,4742,4992,5229,5464,5693,5916,6129,6327,6524,6715,
6899,7066,7244,7410,7571,7730,7879,8023,8164,8299,8435,8552,8665,8767,8856,8932,9003,9060,9115,9165,
9203,9247,9276,9308,9337,9372,9405,9442,9487,9506,9536,9555,9575,9585,9592,9595,9567,9540,9499,9439,
9381,9303,9236,9158,9076,8993,8903,8819,8729,8650,8567,8491,8415,8335,8240,8155,8061,7956,7847,7724,
7582,7446,7282,7123,6951,6782,6616,6442,6267,6106,5959,5797,5638,5511,5372,5245,5112,4992,4868,4741,
4612,4474,4333,4190,4032,3873,3707,3531,3358,3192,3025,2862,2701,2559,2421,2289,2160,2046,1937,1822,
1717,1608,1514,1398,1278,1156,1006,871,720,566,410,238,70,-93,-256,-423,-578,-721,-865,-999,
-1129,-1258,-1383,-1507,-1634,-1756,-1884,-2017,-2161,-2308,-2461,-2627,-2801,-2978,-3150,-3322,-3498,-3683,-3844,-4005,
-4163,-4305,-4439,-4560,-4680,-4804,-4930,-5036,-5143,-5261,-5374,-5491,-5611,-5742,-5890,-6026,-6167,-6306,-6446,-6589,
-6729,-6864,-6991,-7103,-7208,-7301,-7392,-7470,-7541,-7617,-7687,-7755,-7819,-7891,-7964,-8042,-8128,-8220,-8313,-8412,
-8509,-8607,-8702,-8802,-8895,-8986,-9062,-9135,-9190,-9244,-9280,-9320,-9342,-9375,-9403,-9427,-9457,-9479,-9510,-9544,
-9568,-9613,-9648,-9681,-9705,-9728,-9757,-9764,-9767,-9753,-9725,-9694,-9642,-9584,-9507,-9429,-9334,-9227,-9127,-9021,
-8905,-8779,-8664,-8551,-8418,-8286,-8149,-8007,-7849,-7686,-7514,-7333,-7143,-6929,-6719,-6498,-6266,-6029,-5785,-5539,
-5292,-5040,-4784,-4538,-4290,-4029,-3786,-3528,-3269,-3014,-2752,-2492,-2229,-1963,-1694,-1427,-1160,-893,-630,-380,
-130,110,349,580,801,1034,1246,1462,1684,1896,2108,2318,2519,2729,2935,3128,3327,3511,3708,3874,
4042,4193,4339,4460,4568,4669,4756,4836,4911,4984,5056,5125,5186,5248,5323,5381,5440,5501,5552,5590,
5623,5654,5659,5665,5649,5630,5591,5543,5478,5394,5315,5220,5129,5051,4965,4894,4822,4753,4688,4629,
4569,4505,4441,4378,4294,4221,4124,4032,3927,3811,3683,3561,3414,3261,3111,2980,2830,2702,2581,2479,
2370,2272,2179,2107,2023,1938,1852,1770,1666,1560,1448,1333,1204,1065,929,778,621,455,304,141,
0,-132,-257,-376,-481,-576,-675,-769,-853,-950,-1046,-1154,-1268,-1386,-1527,-1661,-1797,-1946,-2104,-2264,
-2411,-2568,-2727,-2868,-3007,-3132,-3248,-3351,-3439,-3512,-3595,-3659,-3728,-3801,-3889,-3971,-4063,-4149,-4254,-4355,
-4454,-4557,-4659,-4771,-4857,-4945,-5021,-5096,-5161,-5204,-5230,-5248,-5246,-5240,-5232,-5216,-5200,-5190,-5169,-5166,
-5163,-5160,-5157,-5161,-5162,-5150,-5151,-5127,-5116,-5077,-5038,-4991,-4941,-4866,-4770,-4669,-4556,-4431,-4295,-4165,
-4034,-3904,-3772,-3643,-3514,-3388,-3261,-3121,-2990,-2842,-2687,-2522,-2344,-2157,-1965,-1750,-1537,-1314,-1070,-815,
-556,-300,-27,240,501,765,1029,1291,1545,1807,2072,2329,2592,2859,3125,3400,3669,3935,4207,4470,
4733,4993,5234,5481,5717,5947,6168,6389,6596,6795,6979,7165,7345,7524,7696,7865,8021,8172,8319,8465,
8591,8714,8821,8928,9023,9104,9167,9228,9283,9333,9369,9408,9445,9479,9501,9531,9564,9600,9630,9654,
9674,9678,9684,9684,9671,9645,9620,9580,9531,9468,9407,9337,9255,9179,9097,9018,8934,8858,8784,8711,
8640,8569,8497,8419,8342,8245,8149,8047,7929,7805,7672,7535,7392,7235,7091,6922,6767,6616,6464,6306,
6163,6029,5887,5762,5650,5522,5404,5286,5161,5031,4893,4746,4592,4442,4281,4117,3947,3779,3614,3446,
3282,3120,2973,2825,2688,2560,2428,2320,2200,2093,1979,1861,1750,1624,1489,1345,1196,1039,884,719,
549,392,230,70,-98,-253,-402,-543,-681,-813,-939,-1067,-1183,-1306,-1425,-1554,-1686,-1829,-1973,-2133,
-2303,-2474,-2644,-2818,-2987,-3158,-3321,-3483,-3642,-3797,-3945,-4082,-4220,-4345,-4462,-4572,-4689,-4804,-4922,-5029,
-5157,-5285,-5415,-5551,-5709,-5852,-5998,-6142,-6282,-6415,-6548,-6664,-6781,-6893,-6995,-7091,-7177,-7256,-7334,-7404,
-7478,-7546,-7620,-7697,-7781,-7863,-7961,-8054,-8163,-8270,-8373,-8482,-8569,-8663,-8751,-8822,-8893,-8958,-9018,-9068,
-9109,-9148,-9190,-9223,-9248,-9284,-9316,-9351,-9390,-9426,-9470,-9515,-9553,-9599,-9635,-9662,-9679,-9691,-9681,-9671,
-9641,-9607,-9564,-9513,-9434,-9361,-9275,-9197,-9091,-8998,-8892,-8789,-8674,-8564,-8446,-8324,-8185,-8041,-7895,-7741,
-7562,-7385,-7188,-6989,-6773,-6554,-6332,-6108,-5870,-5628,-5378,-5135,-4890,-4641,-4390,-4144,-3893,-3639,-3393,-3127,
-2866,-2598,-2330,-2067,-1806,-1536,-1274,-1009,-767,-515,-267,-23,209,443,675,901,1122,1346,1564,1776,
1990,2196,2417,2628,2844,3043,3246,3432,3614,3775,3932,4076,4196,4317,4425,4515,4605,4694,4783,4860,
4934,5008,5075,5147,5212,5268,5331,5385,5442,5485,5521,5537,5545,5528,5499,5455,5400,5326,5264,5186,
5095,5014,4943,4866,4806,4730,4661,4600,4525,4468,4408,4349,4285,4218,4145,4061,3961,3857,3731,3604,
3462,3323,3180,3040,2903,2775,2656,2545,2441,2344,2253,2167,2077,1992,1909,1838,1749,1660,1556,1456,
1343,1207,1065,916,757,596,440,293,143,0,-130,-244,-355,-459,-564,-660,-755,-852,-951,-1051,
-1154,-1260,-1381,-1497,-1633,-1773,-1929,-2088,-2246,-2406,-2562,-2716,-2841,-2964,-3072,-3172,-3265,-3339,-3411,-3475,
-3543,-3611,-3677,-3749,-3821,-3894,-3963,-4046,-4123,-4217,-4314,-4414,-4499,-4597,-4683,-4756,-4800,-4840,-4865,-4878,
-4885,-4870,-4860,-4847,-4827,-4814,-4802,-4781,-4773,-4764,-4755,-4749,-4745,-4739,-4738,-4740,-4732,-4718,-4692,-4660,
-4608,-4543,-4454,-4363,-4262,-4146,-4021,-3896,-3780,-3647,-3525,-3396,-3280,-3153,-3023,-2883,-2750,-2608,-2467,-2315,
-2154,-1988,-1810,-1614,-1408,-1187,-953,-716,-466,-209,47,305,556,810,1073,1319,1567,1807,2062,2311,
2555,2809,3067,3315,3567,3815,4069,4314,4567,4809,5059,5299,5526,5742,5962,6164,6362,6558,6740,6931,
7098,7262,7425,7595,7756,7902,8055,8208,8338,8474,8595,8711,8806,8893,8969,9045,9096,9146,9189,9232,
9268,9303,9337,9369,9398,9422,9449,9475,9496,9507,9519,9520,9514,9502,9476,9432,9385,9326,9254,9171,
9085,8991,8891,8803,8705,8620,8538,8457,8368,8286,8197,8117,8024,7936,7838,7738,7628,7506,7376,7239,
7098,6940,6781,6623,6453,6287,6126,5966,5826,5689,5562,5433,5322,5195,5086,4958,4844,4723,4595,4461,
4330,4183,4033,3877,3723,3551,3379,3205,3043,2873,2714,2561,2411,2279,2157,2039,1926,1814,1699,1586,
1453,1337,1205,1065,922,779,624,465,299,130,-40,-210,-378,-540,-696,-845,-987,-1123,-1240,-1355,
-1473,-1579,-1696,-1818,-1942,-2068,-2203,-2345,-2486,-2628,-2788,-2938,-3101,-3268,-3423,-3583,-3737,-3878,-4017,-4152,
-4279,-4390,-4496,-4597,-4687,-4784,-4881,-4987,-5098,-5217,-5333,-5460,-5588,-5722,-5849,-5989,-6122,-6259,-6399,-6520,
-6646,-6752,-6861,-6960,-7045,-7129,-7200,-7264,-7325,-7386,-7448,-7525,-7602,-7692,-7778,-7870,-7962,-8068,-8163,-8257,
-8348,-8447,-8533,-8615,-8691,-8764,-8822,-8874,-8916,-8950,-8963,-8982,-8998,-9013,-9034,-9052,-9087,-9101,-9154,-9177,
-9209,-9241,-9263,-9286,-9296,-9297,-9305,-9283,-9266,-9231,-9186,-9127,-9059,-8974,-8889,-8789,-8690,-8581,-8481,-8374,
-8260,-8162,-8045,-7930,-7803,-7673,-7536,-7392,-7227,-7062,-6886,-6708,-6513,-6308,-6099,-5887,-5663,-5432,-5204,-4968,
-4725,-4493,-4256,-4016,-3773,-3528,-3285,-3037,-2781,-2529,-2265,-2009,-1739,-1483,-1227,-974,-723,-471,-229,13,
254,493,719,936,1156,1372,1584,1801,2014,2226,2442,2645,2861,3063,3268,3454,3636,3800,3958,4093,
4218,4352,4459,4561,4650,4733,4812,4882,4939,5013,5066,5125,5189,5255,5321,5388,5444,5497,5544,5565,
5566,5572,5552,5512,5468,5411,5351,5282,5211,5134,5056,4979,4901,4823,4739,4687,4621,4570,4522,4478,
4438,4377,4321,4241,4150,4049,3938,3825,3676,3546,3414,3279,3146,3018,2897,2780,2661,2547,2438,2342,
2266,2189,2129,2050,1981,1898,1802,1707,1598,1462,1327,1183,1029,874,717,568,418,276,133,9,
-118,-238,-358,-459,-557,-648,-737,-821,-914,-1014,-1126,-1251,-1381,-1534,-1688,-1851,-2020,-2188,-2354,-2504,
-2644,-2777,-2916,-3019,-3127,-3231,-3324,-3405,-3483,-3550,-3610,-3677,-3744,-3805,-3889,-3972,-4067,-4162,-4273,-4378,
-4486,-4590,-4681,-4756,-4812,-4867,-4912,-4932,-4949,-4953,-4952,-4949,-4931,-4907,-4877,-4854,-4827,-4803,-4785,-4777,
-4772,-4771,-4772,-4782,-4772,-4764,-4737,-4701,-4654,-4586,-4507,-4417,-4304,-4194,-4087,-3959,-3837,-3702,-3565,-3424,
-3284,-3141,-3005,-2862,-2724,-2591,-2443,-2302,-2141,-1979,-1789,-1600,-1396,-1170,-943,-701,-447,-189,65,327,
585,849,1110,1368,1628,1895,2146,2404,2663,2914,3177,3425,3682,3939,4202,4454,4705,4956,5205,5456,
5690,5922,6144,6356,6559,6757,6943,7129,7300,7481,7649,7817,7977,8132,8293,8450,8587,8730,8851,8966,
9070,9162,9240,9306,9369,9419,9476,9517,9552,9574,9600,9628,9652,9672,9705,9724,9750,9763,9785,9795,
9803,9793,9773,9742,9688,9625,9551,9472,9384,9295,9207,9117,9024,8925,8830,8739,8654,8562,8488,8398,
8316,8234,8143,8056,7960,7847,7724,7589,7439,7288,7106,6938,6770,6611,6441,6290,6134,5982,5849,5705,
5575,5453,5323,5208,5089,4973,4848,4717,4597,4458,4309,4152,3977,3806,3623,3436,3259,3093,2930,2769,
2621,2479,2345,2223,2093,1978,1853,1726,1619,1489,1378,1245,1105,965,814,645,478,296,113,-70,
-244,-426,-590,-749,-885,-1030,-1156,-1287,-1408,-1533,-1653,-1781,-1902,-2025,-2153,-2285,-2436,-2580,-2733,-2898,
-3071,-3243,-3414,-3592,-3765,-3926,-4073,-4209,-4344,-4451,-4565,-4677,-4782,-4887,-4998,-5101,-5210,-5315,-5425,-5542,
-5674,-5806,-5941,-6082,-6225,-6372,-6514,-6645,-6793,-6923,-7041,-7133,-7238,-7316,-7395,-7466,-7536,-7616,-7694,-7768,
-7853,-7939,-8026,-8117,-8217,-8324,-8421,-8534,-8651,-8763,-8872,-8976,-9072,-9165,-9235,-9288,-9332,-9374,-9401,-9426,
-9453,-9481,-9510,-9532,-9563,-9601,-9619,-9651,-9674,-9704,-9728,-9750,-9762,-9779,-9778,-9767,-9744,-9709,-9653,-9592,
-9509,-9411,-9305,-9196,-9084,-8968,-8858,-8732,-8605,-8485,-8352,-8207,-8072,-7916,-7768,-7607,-7433,-7262,-7086,-6882,
-6687,-6471,-6241,-6009,-5759,-5514,-5280,-5020,-4772,-4520,-4270,-4018,-3769,-3517,-3257,-2987,-2722,-2455,-2187,-1917,
-1648,-1376,-1106,-834,-563,-296,-38,224,472,727,960,1194,1431,1648,1870,2092,2310,2541,2766,2976,
3203,3411,3621,3811,4000,4186,4349,4510,4657,4803,4922,5024,5120,5196,5264,5318,5386,5446,5500,5553,
5616,5678,5737,5797,5853,5896,5934,5951,5954,5951,5939,5904,5872,5817,5756,5682,5580,5482,5392,5285,
5191,5098,5014,4935,4865,4807,4753,4696,4646,4586,4508,4427,4340,4237,4123,4011,3879,3743,3607,3467,
3306,3157,3002,2857,2709,2584,2475,2365,2269,2186,2108,2025,1953,1860,1773,1655,1537,1400,1269,1128,
967,814,657,491,327,155,-5,-156,-306,-442,-562,-666,-768,-856,-948,-1020,-1122,-1210,-1318,-1434,
-1568,-1712,-1858,-2011,-2160,-2316,-2474,-2624,-2775,-2926,-3075,-3204,-3311,-3432,-3516,-3595,-3655,-3719,-3778,-3823,
-3874,-3938,-4003,-4083,-4181,-4272,-4373,-4478,-4573,-4671,-4768,-4843,-4927,-4996,-5051,-5102,-5132,-5162,-5167,-5157,
-5140,-5106,-5074,-5049,-5017,-4997,-4983,-4968,-4974,-4971,-4977,-4991,-4996,-4989,-4972,-4945,-4905,-4852,-4788,-4717,
-4629,-4530,-4425,-4297,-4156,-4021,-3875,-3731,-3590,-3440,-3300,-3179,-3034,-2907,-2769,-2649,-2499,-2333,-2157,-1980,
-1777,-1570,-1346,-1130,-900,-647,-394,-145,121,375,636,892,1157,1413,1676,1917,2166,2412,2663,2906,
3150,3406,3663,3902,4163,4423,4674,4926,5152,5403,5624,5847,6053,6276,6463,6665,6841,7021,7204,7376,
7541,7718,7881,8042,8184,8315,8458,8588,8698,8815,8898,8993,9067,9134,9193,9238,9273,9304,9326,9345,
9373,9387,9414,9444,9463,9489,9523,9537,9538,9531,9505,9483,9436,9385,9334,9258,9184,9097,9006,8909,
8819,8714,8607,8514,8415,8324,8246,8171,8102,8032,7966,7879,7796,7687,7572,7456,7327,7182,7035,6885,
6728,6573,6419,6267,6111,5956,5810,5677,5547,5428,5317,5213,5108,5021,4914,4807,4694,4569,4428,4287,
4125,3958,3800,3635,3471,3311,3141,2987,2836,2683,2543,2413,2289,2167,2044,1938,1837,1744,1633,1528,
1401,1276,1124,966,802,634,455,279,115,-57,-216,-375,-519,-671,-809,-945,-1063,-1189,-1298,-1412,
-1516,-1631,-1739,-1854,-1983,-2126,-2276,-2444,-2615,-2782,-2952,-3121,-3282,-3441,-3590,-3737,-3876,-4008,-4126,-4244,
-4353,-4464,-4563,-4665,-4763,-4861,-4965,-5074,-5189,-5322,-5462,-5611,-5765,-5917,-6073,-6227,-6362,-6488,-6615,-6727,
-6828,-6935,-7019,-7110,-7196,-7285,-7352,-7432,-7514,-7585,-7658,-7740,-7849,-7944,-8067,-8181,-8305,-8433,-8549,-8664,
-8767,-8848,-8940,-9010,-9072,-9120,-9160,-9206,-9247,-9274,-9305,-9329,-9355,-9382,-9409,-9434,-9466,-9504,-9535,-9581,
-9618,-9668,-9688,-9697,-9698,-9677,-9638,-9595,-9538,-9472,-9401,-9306,-9220,-9131,-9025,-8914,-8800,-8689,-8574,-8449,
-8321,-8201,-8074,-7943,-7806,-7666,-7504,-7334,-7152,-6958,-6741,-6525,-6289,-6062,-5835,-5590,-5349,-5109,-4861,-4612,
-4362,-4112,-3859,-3599,-3346,-3076,-2818,-2546,-2284,-2018,-1747,-1465,-1184,-915,-643,-374,-109,142,386,626,
864,1103,1322,1567,1794,2032,2247,2474,2692,2909,3122,3343,3545,3752,3939,4117,4292,4451,4587,4706,
4816,4912,5004,5072,5144,5222,5289,5355,5441,5503,5581,5640,5703,5766,5829,5867,5925,5957,5981,5982,
5972,5943,5907,5835,5775,5687,5615,5514,5428,5353,5291,5219,5163,5109,5056,5005,4949,4891,4844,4785,
4724,4649,4576,4470,4365,4253,4117,3968,3810,3665,3503,3354,3208,3080,2963,2865,2768,2688,2598,2516,
2439,2348,2265,2171,2061,1963,1842,1726,1588,1439,1274,1108,925,756,587,422,276,139,0,-106,
-201,-290,-385,-473,-560,-666,-758,-868,-996,-1112,-1234,-1374,-1515,-1682,-1845,-2017,-2193,-2351,-2509,-2656,
-2788,-2916,-3017,-3105,-3172,-3242,-3298,-3356,-3417,-3495,-3569,-3647,-3731,-3820,-3916,-4007,-4112,-4217,-4329,-4451,
-4547,-4656,-4739,-4806,-4872,-4914,-4944,-4952,-4934,-4923,-4904,-4877,-4865,-4858,-4856,-4854,-4861,-4868,-4886,-4892,
-4896,-4911,-4930,-4941,-4930,-4913,-4885,-4848,-4789,-4705,-4615,-4506,-4384,-4241,-4115,-3958,-3825,-3694,-3576,-3447,
-3329,-3195,-3072,-2929,-2801,-2655,-2502,-2350,-2159,-1966,-1776,-1569,-1341,-1113,-864,-613,-349,-79,176,443,
703,953,1205,1452,1697,1941,2177,2427,2681,2922,3179,3431,3689,3948,4195,4449,4713,4952,5198,5417,
5645,5860,6077,6275,6485,6680,6864,7054,7226,7401,7576,7732,7902,8055,8220,8364,8501,8625,8756,8869,
8964,9047,9116,9179,9215,9258,9296,9332,9359,9406,9440,9482,9512,9531,9566,9585,9593,9607,9604,9602,
9570,9547,9512,9460,9387,9315,9221,9126,9020,8903,8800,8708,8605,8522,8443,8371,8293,8218,8145,8065,
7967,7866,7767,7654,7543,7407,7274,7129,6986,6820,6659,6484,6318,6136,5983,5835,5702,5571,5469,5369,
5265,5157,5049,4944,4833,4692,4568,4431,4287,4135,3962,3811,3644,3466,3297,3128,2949,2773,2609,2458,
2326,2195,2090,1984,1882,1774,1671,1552,1436,1300,1152,1012,836,672,503,339,178,-2,-149,-318,
-372,-509,-652,-848,-1055,-1281,-1474,-1656,-1775,-1854,-1864,-1834,-1751,-1644,-1499,-1340,-1158,-992,-824,-670,
-518,-380,-232,-103,24,132,237,334,434,535,654,788,939,1115,1322,1550,1804,2065,2342,2620,
2902,3176,3437,3678,3924,4154,4378,4601,4812,5006,5170,5305,5420,5534,5641,5763,5894,6052,6224,6411,
6601,6802,6999,7201,7416,7643,7874,8109,8379,8675,8989,9323,9663,9986,10282,10555,10809,11045,11256,11457,
11645,11800,11933,12035,12118,12150,12138,12080,11964,11804,11607,11382,11143,10909,10672,10427,10181,9906,9627,9325,
9018,8709,8409,8107,7824,7549,7296,7059,6819,6600,6379,6143,5901,5653,5405,5180,4967,4768,4599,4415,
4217,4018,3810,3574,3332,3079,2835,2590,2373,2188,2016,1869,1752,1653,1550,1460,1361,1293,1246,1225,
1219,1227,1257,1286,1320,1347,1356,1339,1302,1253,1182,1112,1048,1004,979,953,949,938,915,891,
857,810,762,707,662,610,557,502,431,340,235,91,-80,-281,-488,-693,-894,-1088,-1267,-1434,
-1584,-1728,-1873,-2020,-2166,-2317,-2462,-2607,-2754,-2900,-3032,-3160,-3287,-3429,-3586,-3758,-3948,-4142,-4344,-4539,
-4715,-4867,-4989,-5085,-5165,-5227,-5289,-5337,-5383,-5435,-5498,-5556,-5605,-5650,-5684,-5719,-5748,-5775,-5833,-5898,
-5988,-6099,-6218,-6339,-6445,-6534,-6608,-6658,-6691,-6705,-6713,-6727,-6757,-6797,-6854,-6930,-7019,-7113,-7203,-7311,
-7413,-7534,-7668,-7834,-8018,-8231,-8448,-8687,-8915,-9118,-9308,-9479,-9625,-9755,-9869,-9986,-10109,-10250,-10410,-10585,
-10751,-10910,-11053,-11190,-11315,-11422,-11539,-11659,-11788,-11913,-12027,-12122,-12173,-12188,-12147,-12051,-11888,-11679,-11448,-11206,
-10953,-10703,-10444,-10191,-9909,-9607,-9282,-8923,-8537,-8145,-7734,-7320,-6890,-6450,-6006,-5546,-5077,-4590,-4089,-3577,
-3066,-2564,-2081,-1614,-1171,-753,-354,34,417,797,1168,1540,1902,2265,2624,2968,3316,3661,4014,4364,
4700,5025,5334,5625,5893,6134,6359,6578,6790,7004,7216,7432,7636,7849,8041,8224,8392,8534,8672,8796,
8909,9012,9106,9179,9222,9233,9193,9119,9005,8850,8674,8480,8287,8100,7917,7745,7591,7428,7265,7096,
6919,6719,6504,6292,6091,5886,5691,5496,5295,5076,4854,4610,4358,4096,3840,3602,3385,3201,3043,2930,
2858,2799,2753,2705,2643,2578,2497,2420,2343,2269,2207,2159,2099,2043,1977,1896,1802,1708,1608,1511,
1428,1373,1342,1329,1329,1339,1345,1336,1304,1255,1183,1092,991,890,778,661,546,414,272,101,
-80,-276,-490,-705,-919,-1117,-1295,-1453,-1595,-1723,-1855,-2002,-2150,-2313,-2498,-2702,-2907,-3110,-3308,-3512,
-3699,-3891,-4085,-4289,-4498,-4709,-4916,-5121,-5305,-5462,-5584,-5681,-5742,-5782,-5806,-5833,-5863,-5906,-5963,-6025,
-6100,-6176,-6239,-6292,-6337,-6371,-6401,-6434,-6484,-6537,-6594,-6653,-6699,-6730,-6747,-6735,-6725,-6699,-6675,-6657,
-6665,-6694,-6751,-6827,-6923,-7024,-7119,-7207,-7293,-7366,-7441,-7518,-7595,-7686,-7777,-7863,-7941,-8001,-8027,-8032,
-8010,-7966,-7902,-7828,-7757,-7685,-7617,-7545,-7453,-7351,-7210,-7043,-6833,-6598,-6320,-6015,-5681,-5322,-4938,-4516,
-4055,-3564,-3031,-2470,-1879,-1271,-659,-48,557,1146,1736,2301,2856,3401,3923,4428,4909,5357,5789,6185,
6562,6920,7256,7565,7867,8142,8394,8620,8804,8959,9071,9159,9238,9304,9366,9441,9509,9570,9619,9658,
9670,9674,9658,9635,9605,9573,9549,9528,9520,9509,9488,9463,9420,9363,9294,9228,9166,9122,9086,9075,
9073,9073,9057,9033,8985,8910,8814,8694,8566,8429,8290,8155,8024,7894,7753,7593,7428,7243,7049,6841,
6648,6460,6285,6120,5968,5817,5664,5497,5321,5126,4915,4696,4474,4247,4041,3842,3664,3495,3337,3168,
3003,2842,2673,2514,2358,2224,2110,2007,1920,1850,1776,1700,1618,1531,1432,1324,1216,1126,1032,965,
901,843,797,751,688,631,558,489,417,350,293,247,204,183,153,121,69,8,-66,-149,
-259,-360,-467,-565,-667,-768,-864,-967,-1087,-1200,-1331,-1460,-1598,-1735,-1858,-1973,-2079,-2176,-2270,-2373,
-2486,-2617,-2753,-2901,-3061,-3223,-3374,-3527,-3661,-3798,-3919,-4029,-4145,-4265,-4380,-4506,-4618,-4729,-4834,-4915,
-4983,-5046,-5092,-5145,-5207,-5275,-5357,-5449,-5539,-5634,-5725,-5799,-5866,-5917,-5962,-6000,-6042,-6083,-6138,-6197,
-6264,-6330,-6405,-6474,-6522,-6573,-6632,-6683,-6760,-6846,-6953,-7082,-7221,-7364,-7521,-7671,-7805,-7939,-8062,-8187,
-8312,-8438,-8592,-8739,-8903,-9060,-9216,-9357,-9486,-9594,-9696,-9791,-9890,-9981,-10090,-10208,-10321,-10422,-10522,-10593,
-10633,-10643,-10619,-10572,-10495,-10400,-10293,-10176,-10038,-9887,-9703,-9501,-9268,-9000,-8715,-8408,-8075,-7740,-7388,-7037,
-6675,-6304,-5913,-5508,-5081,-4646,-4197,-3742,-3292,-2844,-2398,-1971,-1550,-1138,-734,-342,48,423,801,1171,
1545,1913,2281,2649,3003,3363,3718,4058,4380,4696,4988,5263,5525,5781,6023,6261,6491,6721,6942,7143,
7332,7511,7676,7837,7985,8136,8280,8429,8566,8696,8806,8884,8926,8941,8910,8845,8752,8632,8507,8374,
8231,8080,7927,7761,7582,7393,7190,6985,6780,6583,6400,6220,6056,5893,5726,5557,5367,5164,4947,4704,
4466,4222,3988,3775,3582,3399,3248,3101,2962,2823,2692,2568,2459,2354,2275,2209,2156,2118,2077,2033,
1989,1919,1845,1752,1643,1541,1441,1346,1274,1203,1145,1089,1033,963,880,792,702,611,517,430,
348,259,171,73,-45,-178,-334,-509,-704,-909,-1113,-1306,-1494,-1666,-1833,-1992,-2149,-2312,-2477,-2651,
-2819,-2985,-3148,-3298,-3439,-3576,-3706,-3839,-3973,-4112,-4273,-4448,-4626,-4801,-4970,-5122,-5249,-5356,-5449,-5520,
-5577,-5629,-5677,-5730,-5777,-5817,-5858,-5893,-5909,-5928,-5938,-5954,-5977,-6009,-6061,-6134,-6212,-6295,-6373,-6443,
-6496,-6525,-6541,-6542,-6538,-6537,-6535,-6543,-6560,-6588,-6615,-6643,-6673,-6687,-6708,-6728,-6757,-6798,-6850,-6920,
-7001,-7072,-7137,-7181,-7205,-7205,-7170,-7113,-7043,-6948,-6848,-6742,-6628,-6509,-6368,-6212,-6037,-5826,-5604,-5359,
-5103,-4828,-4547,-4247,-3932,-3596,-3226,-2831,-2406,-1953,-1475,-975,-473,44,561,1069,1575,2071,2563,3045,
3508,3957,4393,4806,5197,5569,5916,6262,6590,6917,7236,7540,7828,8094,8332,8546,8733,8893,9043,9175,
9293,9408,9507,9606,9693,9770,9839,9894,9934,9972,10006,10043,10087,10125,10169,10212,10226,10221,10183,10120,
10046,9947,9840,9739,9640,9533,9436,9346,9248,9146,9031,8915,8780,8645,8494,8356,8224,8089,7953,7805,
7648,7470,7269,7046,6823,6587,6354,6132,5914,5718,5536,5364,5201,5052,4894,4741,4583,4427,4282,4135,
4002,3881,3763,3642,3525,3395,3261,3114,2972,2825,2690,2562,2457,2367,2288,2226,2174,2123,2070,2008,
1951,1880,1821,1757,1695,1639,1587,1516,1456,1378,1295,1197,1085,981,875,759,663,574,497,428,
362,293,224,137,48,-46,-148,-247,-350,-452,-555,-665,-780,-898,-1029,-1161,-1313,-1465,-1613,-1753,
-1889,-2002,-2103,-2195,-2280,-2370,-2458,-2541,-2639,-2734,-2838,-2942,-3049,-3155,-3259,-3362,-3468,-3578,-3685,-3812,
-3936,-4068,-4199,-4309,-4420,-4512,-4583,-4649,-4704,-4763,-4820,-4886,-4954,-5037,-5120,-5215,-5314,-5416,-5510,-5604,
-5704,-5802,-5904,-6021,-6143,-6270,-6395,-6507,-6608,-6703,-6777,-6851,-6918,-6984,-7056,-7127,-7218,-7326,-7440,-7567,
-7695,-7828,-7960,-8085,-8210,-8341,-8479,-8613,-8764,-8911,-9058,-9195,-9320,-9428,-9529,-9606,-9673,-9733,-9792,-9849,
-9905,-9976,-10057,-10133,-10198,-10253,-10299,-10324,-10329,-10327,-10308,-10271,-10224,-10161,-10083,-9979,-9846,-9682,-9497,-9281,
-9030,-8769,-8491,-8195,-7891,-7580,-7260,-6930,-6584,-6225,-5851,-5461,-5052,-4623,-4182,-3737,-3279,-2818,-2351,-1892,
-1424,-968,-508,-61,379,811,1239,1651,2058,2462,2856,3241,3613,3975,4329,4660,4977,5286,5574,5850,
6122,6373,6612,6832,7034,7205,7355,7481,7586,7675,7758,7839,7925,8017,8107,8192,8272,8346,8395,8429,
8439,8432,8415,8375,8327,8271,8201,8128,8024,7910,7778,7627,7468,7304,7145,6998,6864,6738,6630,6526,
6422,6325,6214,6086,5946,5793,5628,5462,5290,5129,4968,4811,4643,4478,4311,4141,3975,3817,3669,3544,
3434,3341,3272,3213,3162,3112,3064,3002,2926,2833,2734,2634,2539,2437,2349,2257,2166,2070,1972,1874,
1772,1672,1577,1488,1409,1341,1280,1237,1193,1138,1077,997,895,783,644,510,360,211,55,-99,
-261,-417,-589,-759,-930,-1107,-1282,-1449,-1608,-1756,-1893,-2016,-2136,-2258,-2395,-2538,-2694,-2863,-3050,-3228,
-3415,-3596,-3775,-3946,-4106,-4261,-4413,-4563,-4702,-4834,-4969,-5088,-5187,-5268,-5337,-5395,-5438,-5480,-5533,-5593,
-5670,-5759,-5856,-5970,-6079,-6180,-6282,-6378,-6454,-6525,-6596,-6660,-6727,-6785,-6847,-6900,-6945,-6978,-7000,-7022,
-7039,-7060,-7091,-7141,-7200,-7282,-7370,-7479,-7583,-7682,-7760,-7829,-7871,-7899,-7906,-7913,-7905,-7886,-7851,-7802,
-7719,-7624,-7498,-7351,-7182,-7002,-6805,-6605,-6391,-6169,-5935,-5679,-5407,-5098,-4749,-4361,-3951,-3500,-3033,-2543,
-2045,-1529,-996,-451,100,662,1221,1776,2318,2846,3360,3850,4314,4769,5202,5623,6031,6421,6800,7160,
7491,7807,8092,8346,8578,8784,8967,9137,9289,9426,9548,9651,9739,9809,9877,9935,9991,10054,10119,10184,
10251,10308,10349,10380,10395,10384,10367,10329,10272,10211,10147,10085,10018,9942,9867,9777,9691,9587,9482,9381,
9289,9191,9109,9018,8929,8817,8702,8569,8416,8238,8052,7849,7629,7423,7208,7000,6802,6609,6413,6224,
6028,5843,5654,5485,5320,5169,5020,4883,4750,4618,4477,4332,4178,4020,3843,3679,3506,3346,3197,3055,
2930,2822,2708,2610,2517,2430,2344,2265,2199,2130,2076,2016,1969,1914,1855,1780,1701,1612,1506,1394,
1284,1176,1074,975,885,808,727,644,565,482,400,311,219,137,49,-37,-117,-208,-299,-410,
-534,-666,-807,-958,-1101,-1247,-1386,-1514,-1636,-1750,-1858,-1968,-2068,-2168,-2266,-2366,-2468,-2566,-2651,-2743,
-2834,-2924,-3018,-3123,-3235,-3360,-3480,-3613,-3742,-3857,-3972,-4074,-4168,-4251,-4325,-4390,-4460,-4524,-4592,-4660,
-4733,-4808,-4871,-4944,-5014,-5091,-5169,-5264,-5368,-5479,-5608,-5728,-5853,-5987,-6103,-6214,-6321,-6413,-6498,-6575,
-6660,-6744,-6839,-6938,-7047,-7161,-7264,-7380,-7497,-7623,-7744,-7883,-8028,-8184,-8353,-8516,-8682,-8848,-8998,-9134,
-9260,-9368,-9468,-9558,-9640,-9729,-9817,-9904,-9987,-10070,-10153,-10226,-10289,-10352,-10409,-10456,-10503,-10543,-10580,-10600,
-10612,-10598,-10563,-10500,-10408,-10292,-10151,-9993,-9813,-9619,-9419,-9199,-8975,-8732,-8485,-8223,-7941,-7648,-7343,-7013,
-6672,-6312,-5939,-5553,-5147,-4720,-4292,-3838,-3376,-2910,-2437,-1971,-1489,-1010,-545,-71,400,864,1326,1769,
2213,2652,3070,3493,3910,4314,4716,5102,5476,5835,6168,6472,6752,7000,7219,7409,7586,7752,7900,8040,
8176,8301,8407,8507,8578,8641,8695,8727,8758,8770,8788,8780,8759,8722,8666,8572,8464,8333,8181,8010,
7840,7676,7521,7367,7230,7103,6980,6858,6730,6604,6480,6343,6218,6094,5974,5845,5719,5582,5444,5283,
5114,4943,4758,4579,4402,4236,4091,3963,3843,3750,3657,3575,3482,3399,3309,3219,3120,3026,2934,2830,
2733,2627,2521,2399,2265,2135,1990,1842,1699,1566,1445,1333,1237,1146,1074,993,915,830,735,638,
534,412,307,191,75,-52,-188,-321,-470,-629,-788,-956,-1109,-1268,-1418,-1540,-1656,-1765,-1852,-1949,
-2047,-2148,-2256,-2375,-2487,-2614,-2741,-2863,-2992,-3118,-3257,-3395,-3534,-3687,-3835,-3984,-4127,-4265,-4389,-4500,
-4587,-4667,-4735,-4794,-4861,-4929,-5005,-5091,-5182,-5279,-5385,-5477,-5584,-5683,-5787,-5896,-6008,-6119,-6242,-6352,
-6464,-6563,-6660,-6738,-6798,-6841,-6881,-6911,-6942,-6983,-7036,-7109,-7186,-7265,-7360,-7450,-7530,-7603,-7675,-7754,
-7820,-7883,-7947,-8006,-8055,-8092,-8098,-8087,-8047,-7987,-7901,-7802,-7698,-7592,-7483,-7380,-7268,-7152,-7013,-6869,
-6691,-6501,-6279,-6043,-5784,-5499,-5195,-4882,-4526,-4148,-3745,-3314,-2858,-2376,-1875,-1376,-876,-376,122,612,
1100,1587,2074,2548,3035,3514,3978,4437,4884,5320,5741,6138,6522,6895,7247,7578,7889,8176,8450,8694,
8913,9122,9312,9487,9650,9795,9937,10066,10185,10290,10387,10460,10524,10565,10595,10610,10605,10596,10568,10536,
10484,10417,10340,10266,10174,10086,10004,9922,9843,9763,9691,9620,9535,9442,9347,9235,9110,8973,8833,8689,
8534,8381,8222,8057,7887,7705,7525,7344,7168,6993,6834,6685,6550,6414,6288,6163,6044,5905,5768,5621,
5467,5309,5148,4988,4837,4681,4528,4376,4223,4069,3921,3775,3638,3507,3382,3284,3186,3105,3021,2943,
2869,2786,2694,2607,2496,2390,2285,2174,2067,1958,1852,1749,1644,1540,1433,1332,1235,1145,1049,975,
901,832,764,692,619,539,443,345,241,125,10,-113,-234,-355,-472,-594,-711,-830,-949,-1067,
-1180,-1291,-1393,-1494,-1584,-1671,-1747,-1839,-1934,-2027,-2127,-2241,-2347,-2476,-2600,-2728,-2853,-2968,-3085,-3200,
-3310,-3414,-3523,-3624,-3726,-3825,-3912,-3998,-4068,-4139,-4208,-4273,-4349,-4429,-4511,-4612,-4717,-4823,-4938,-5053,
-5166,-5281,-5389,-5492,-5597,-5698,-5804,-5901,-6006,-6108,-6199,-6288,-6382,-6464,-6554,-6642,-6740,-6852,-6967,-7089,
-7234,-7386,-7541,-7699,-7851,-8007,-8150,-8293,-8424,-8551,-8672,-8795,-8917,-9030,-9137,-9232,-9332,-9420,-9494,-9579,
-9651,-9735,-9817,-9900,-9978,-10071,-10140,-10212,-10261,-10299,-10319,-10314,-10294,-10262,-10205,-10135,-10047,-9948,-9828,-9689,
-9528,-9367,-9179,-8982,-8777,-8555,-8331,-8081,-7829,-7557,-7272,-6958,-6633,-6282,-5919,-5541,-5138,-4726,-4302,-3863,
-3411,-2953,-2497,-2035,-1570,-1110,-649,-193,269,721,1173,1623,2087,2538,2985,3428,3852,4261,4650,5008,
5355,5685,5987,6278,6551,6810,7045,7262,7467,7650,7801,7952,8083,8209,8321,8434,8540,8646,8728,8793,
8843,8864,8858,8818,8759,8681,8593,8492,8386,8268,8160,8036,7910,7783,7649,7512,7385,7254,7138,7020,
6915,6814,6718,6608,6491,6362,6223,6062,5892,5717,5548,5365,5199,5037,4886,4748,4601,4475,4345,4217,
4106,3995,3894,3798,3714,3632,3561,3471,3376,3271,3161,3026,2892,2735,2584,2434,2283,2153,2021,1900,
1776,1655,1538,1422,1300,1192,1079,975,865,759,657,545,426,297,156,-5,-170,-347,-527,-695,
-870,-1019,-1171,-1307,-1447,-1575,-1700,-1816,-1936,-2051,-2156,-2264,-2361,-2461,-2555,-2646,-2749,-2864,-2981,-3110,
-3253,-3398,-3541,-3676,-3800,-3922,-4025,-4125,-4204,-4280,-4353,-4424,-4485,-4562,-4628,-4687,-4750,-4812,-4870,-4932,
-4999,-5085,-5174,-5276,-5393,-5510,-5637,-5752,-5854,-5953,-6037,-6107,-6168,-6220,-6276,-6324,-6371,-6425,-6483,-6537,
-6588,-6638,-6693,-6744,-6796,-6853,-6927,-6997,-7081,-7156,-7236,-7298,-7338,-7366,-7370,-7343,-7303,-7240,-7173,-7088,
-7002,-6904,-6807,-6685,-6565,-6415,-6258,-6090,-5905,-5716,-5520,-5311,-5085,-4850,-4595,-4318,-4020,-3686,-3326,-2947,
-2527,-2098,-1662,-1228,-784,-343,100,537,984,1426,1869,2306,2736,3168,3591,4001,4406,4799,5189,5564,
5934,6298,6644,6975,7291,7586,7863,8122,8357,8572,8774,8961,9133,9291,9436,9570,9694,9803,9904,9994,
10076,10149,10204,10252,10269,10283,10271,10246,10197,10138,10070,9994,9905,9811,9722,9632,9542,9444,9346,9251,
9145,9037,8933,8819,8705,8591,8470,8340,8200,8043,7880,7713,7525,7341,7161,6984,6806,6639,6482,6336,
6193,6060,5932,5801,5675,5551,5428,5305,5192,5068,4955,4833,4707,4569,4428,4285,4137,3986,3847,3705,
3576,3452,3341,3242,3146,3057,2973,2887,2790,2710,2620,2530,2441,2343,2252,2153,2047,1938,1819,1698,
1570,1443,1316,1198,1083,972,872,783,700,614,537,460,369,287,195,103,12,-83,-182,-279,
-385,-493,-610,-731,-854,-970,-1093,-1203,-1308,-1406,-1497,-1573,-1647,-1714,-1792,-1862,-1937,-2013,-2095,-2185,
-2271,-2359,-2454,-2553,-2648,-2749,-2858,-2973,-3092,-3203,-3326,-3431,-3533,-3628,-3713,-3796,-3872,-3947,-4017,-4097,
-4177,-4261,-4353,-4457,-4562,-4668,-4773,-4890,-5001,-5121,-5244,-5375,-5499,-5639,-5762,-5890,-6006,-6111,-6210,-6311,
-6403,-6494,-6580,-6674,-6770,-6876,-6995,-7114,-7244,-7366,-7493,-7626,-7756,-7890,-8028,-8166,-8304,-8439,-8570,-8686,
-8801,-8894,-8985,-9060,-9134,-9196,-9251,-9310,-9375,-9442,-9512,-9575,-9645,-9708,-9766,-9812,-9857,-9890,-9913,-9930,
-9936,-9926,-9899,-9851,-9792,-9699,-9589,-9461,-9319,-9160,-8990,-8808,-8615,-8420,-8207,-7982,-7740,-7485,-7217,-6922,
-6616,-6296,-5954,-5594,-5216,-4822,-4412,-3981,-3539,-3092,-2629,-2164,-1699,-1240,-782,-323,136,586,1051,1505,
1964,2410,2845,3277,3690,4086,4466,4838,5189,5526,5835,6138,6416,6666,6896,7098,7268,7426,7558,7690,
7807,7920,8026,8138,8233,8327,8397,8448,8485,8506,8504,8484,8455,8415,8362,8296,8215,8126,8019,7900,
7773,7643,7506,7374,7255,7150,7046,6954,6871,6785,6699,6603,6500,6383,6258,6123,5989,5857,5715,5569,
5427,5280,5125,4971,4817,4667,4520,4377,4254,4149,4048,3959,3887,3807,3729,3643,3548,3446,3331,3215,
3091,2967,2842,2712,2584,2455,2324,2187,2053,1923,1794,1668,1554,1449,1366,1281,1200,1127,1036,945,
840,723,604,471,328,193,53,-96,-244,-386,-535,-676,-827,-963,-1106,-1238,-1365,-1478,-1577,-1671,
-1766,-1852,-1949,-2047,-2161,-2284,-2416,-2547,-2693,-2833,-2980,-3116,-3254,-3392,-3518,-3639,-3767,-3884,-4001,-4112,
-4209,-4292,-4370,-4437,-4500,-4559,-4621,-4694,-4774,-4870,-4971,-5091,-5204,-5325,-5434,-5553,-5663,-5758,-5859,-5951,
-6038,-6126,-6205,-6279,-6346,-6406,-6451,-6495,-6528,-6564,-6600,-6645,-6692,-6757,-6836,-6917,-7001,-7086,-7158,-7210,
-7258,-7288,-7308,-7309,-7298,-7276,-7236,-7186,-7115,-7030,-6926,-6805,-6667,-6513,-6357,-6177,-6008,-5830,-5647,-5461,
-5255,-5030,-4784,-4512,-4211,-3881,-3535,-3161,-2768,-2358,-1944,-1501,-1068,-616,-155,305,764,1237,1699,2157,
2605,3045,3476,3895,4310,4717,5113,5503,5887,6258,6624,6970,7300,7602,7893,8157,8416,8637,8846,9029,
9197,9353,9495,9628,9754,9860,9968,10060,10149,10222,10280,10320,10353,10367,10367,10347,10313,10267,10216,10152,
10076,9999,9909,9814,9711,9605,9505,9405,9306,9219,9127,9040,8946,8850,8749,8631,8501,8361,8214,8059,
7895,7730,7563,7398,7236,7080,6916,6758,6599,6442,6298,6160,6029,5900,5790,5675,5564,5448,5337,5217,
5080,4945,4801,4654,4503,4351,4204,4072,3931,3802,3678,3556,3433,3320,3217,3116,3018,2928,2846,2760,
2685,2595,2506,2413,2313,2193,2076,1954,1829,1700,1576,1463,1353,1236,1134,1030,931,832,734,641,
554,465,384,298,209,132,37,-62,-164,-281,-404,-525,-656,-780,-903,-1018,-1129,-1237,-1344,-1435,
-1529,-1616,-1713,-1798,-1878,-1959,-2044,-2116,-2196,-2277,-2366,-2458,-2558,-2669,-2789,-2905,-3023,-3147,-3262,-3369,
-3473,-3574,-3669,-3759,-3846,-3936,-4025,-4113,-4198,-4280,-4367,-4451,-4536,-4631,-4724,-4839,-4956,-5073,-5210,-5349,
-5481,-5621,-5751,-5882,-6009,-6124,-6229,-6338,-6440,-6548,-6651,-6764,-6872,-6981,-7085,-7202,-7308,-7425,-7550,-7682,
-7821,-7966,-8114,-8269,-8424,-8573,-8714,-8845,-8966,-9067,-9169,-9264,-9349,-9423,-9507,-9584,-9653,-9719,-9780,-9842,
-9897,-9942,-10000,-10044,-10099,-10134,-10176,-10217,-10244,-10248,-10239,-10200,-10142,-10070,-9973,-9865,-9739,-9594,-9443,-9274,
-9098,-8907,-8694,-8470,-8236,-7979,-7717,-7436,-7144,-6834,-6514,-6164,-5801,-5418,-5007,-4573,-4123,-3663,-3189,-2714,
-2229,-1745,-1256,-767,-277,211,707,1197,1682,2156,2628,3087,3534,3968,4392,4818,5216,5606,5980,6324,
6644,6925,7182,7413,7624,7803,7972,8123,8265,8396,8520,8626,8723,8791,8856,8907,8942,8970,8987,8989,
8990,8973,8939,8886,8805,8708,8582,8454,8318,8176,8033,7904,7774,7659,7541,7425,7314,7199,7084,6973,
6854,6748,6632,6517,6394,6278,6137,6002,5849,5687,5510,5337,5162,4995,4829,4680,4546,4424,4308,4191,
4087,3983,3871,3760,3656,3544,3431,3322,3212,3095,2977,2844,2711,2563,2408,2244,2086,1937,1795,1660,
1544,1430,1331,1225,1132,1036,929,819,719,605,487,371,257,139,14,-125,-262,-412,-566,-722,
-874,-1024,-1162,-1292,-1405,-1511,-1605,-1699,-1787,-1875,-1967,-2062,-2159,-2263,-2366,-2466,-2576,-2684,-2796,-2917,
-3042,-3170,-3302,-3430,-3566,-3691,-3807,-3911,-4009,-4091,-4164,-4229,-4300,-4368,-4446,-4518,-4608,-4695,-4791,-4887,
-4991,-5094,-5206,-5304,-5422,-5542,-5662,-5784,-5902,-6019,-6123,-6211,-6289,-6355,-6405,-6451,-6493,-6543,-6592,-6643,
-6709,-6783,-6849,-6923,-6996,-7069,-7139,-7202,-7261,-7328,-7376,-7422,-7460,-7487,-7501,-7492,-7456,-7412,-7336,-7248,
-7150,-7047,-6936,-6829,-6712,-6595,-6474,-6337,-6191,-6032,-5857,-5652,-5430,-5194,-4936,-4661,-4364,-4041,-3708,-3344,
-2954,-2551,-2120,-1683,-1237,-777,-323,134,583,1033,1475,1927,2370,2818,3256,3698,4135,4575,4995,5417,
5817,6215,6590,6949,7287,7608,7901,8186,8445,8690,8914,9125,9325,9505,9662,9820,9953,10073,10180,10264,
10346,10410,10461,10497,10527,10529,10522,10493,10446,10382,10306,10219,10136,10040,9949,9859,9769,9684,9606,9511,
9422,9321,9226,9107,8988,8867,8738,8600,8465,8326,8173,8016,7846,7681,7512,7342,7174,7015,6867,6732,
6597,6475,6360,6245,6128,6020,5899,5772,5638,5503,5374,5234,5098,4959,4820,4677,4525,4382,4234,4087,
3945,3816,3690,3576,3473,3371,3282,3190,3096,3004,2899,2797,2690,2566,2447,2334,2210,2090,1968,1844,
1721,1593,1465,1346,1227,1113,1007,907,818,727,651,571,493,401,313,212,110,-1,-110,-230,
-342,-458,-565,-685,-793,-914,-1028,-1139,-1246,-1351,-1441,-1530,-1611,-1689,-1766,-1831,-1904,-1982,-2068,-2162,
-2258,-2367,-2473,-2582,-2692,-2802,-2908,-3014,-3124,-3226,-3342,-3442,-3543,-3653,-3742,-3828,-3907,-3992,-4066,-4143,
-4220,-4304,-4399,-4499,-4611,-4731,-4850,-4979,-5107,-5228,-5352,-5470,-5588,-5705,-5823,-5945,-6054,-6163,-6274,-6376,
-6474,-6564,-6658,-6751,-6847,-6950,-7068,-7190,-7317,-7456,-7599,-7747,-7888,-8032,-8167,-8301,-8424,-8550,-8670,-8792,
-8904,-9012,-9111,-9209,-9284,-9362,-9432,-9503,-9571,-9637,-9718,-9802,-9885,-9974,-10056,-10129,-10200,-10252,-10285,-10316,
-10320,-10321,-10303,-10276,-10236,-10177,-10099,-10009,-9903,-9778,-9638,-9492,-9331,-9156,-8982,-8793,-8593,-8384,-8158,-7902,
-7637,-7337,-7010,-6668,-6299,-5914,-5511,-5091,-4662,-4214,-3752,-3278,-2799,-2309,-1809,-1317,-817,-324,169,663,
1152,1647,2148,2633,3113,3582,4039,4481,4885,5274,5640,5984,6300,6595,6872,7133,7370,7590,7789,7963,
8127,8268,8403,8530,8648,8756,8858,8941,9010,9054,9080,9084,9063,9019,8961,8887,8804,8718,8621,8525,
8430,8324,8223,8114,8007,7900,7798,7707,7616,7531,7451,7371,7280,7179,7061,6936,6800,6647,6490,6333,
6177,6022,5874,5730,5593,5460,5325,5200,5074,4953,4842,4733,4638,4545,4450,4357,4259,4155,4036,3905,
3768,3618,3460,3313,3159,3014,2867,2728,2607,2478,2352,2235,2115,2001,1891,1783,1680,1587,1485,1385,
1278,1166,1041,899,753,606,443,280,126,-24,-166,-310,-436,-559,-680,-801,-912,-1027,-1133,-1242,
-1344,-1439,-1538,-1647,-1744,-1857,-1973,-2109,-2251,-2391,-2541,-2699,-2845,-2985,-3113,-3235,-3352,-3460,-3557,-3665,
-3757,-3848,-3946,-4046,-4134,-4223,-4314,-4400,-4500,-4597,-4706,-4827,-4960,-5096,-5233,-5366,-5506,-5626,-5743,-5845,
-5938,-6023,-6097,-6164,-6235,-6305,-6374,-6438,-6508,-6569,-6631,-6691,-6756,-6818,-6893,-6967,-7052,-7135,-7218,-7291,
-7361,-7408,-7439,-7454,-7447,-7423,-7385,-7328,-7269,-7211,-7127,-7050,-6961,-6866,-6762,-6641,-6514,-6376,-6232,-6079,
-5918,-5745,-5559,-5354,-5126,-4881,-4602,-4298,-3975,-3620,-3261,-2868,-2476,-2073,-1667,-1257,-840,-432,-7,416,
845,1264,1699,2128,2555,2984,3403,3825,4246,4647,5045,5441,5816,6183,6534,6866,7190,7491,7773,8042,
8290,8520,8728,8923,9107,9277,9427,9575,9711,9836,9944,10039,10117,10171,10205,10221,10218,10195,10156,10112,
10065,10009,9945,9878,9806,9731,9650,9565,9476,9386,9289,9198,9102,9004,8906,8793,8679,8551,8414,8260,
8102,7937,7765,7591,7426,7274,7124,6984,6850,6716,6591,6460,6327,6202,6078,5949,5833,5712,5595,5467,
5345,5205,5074,4920,4768,4611,4456,4306,4154,4017,3896,3775,3661,3556,3456,3346,3243,3142,3044,2941,
2840,2738,2639,2538,2426,2312,2194,2064,1934,1805,1668,1542,1416,1297,1196,1097,1003,919,834,751,
665,574,487,401,306,213,120,24,-79,-185,-295,-404,-523,-641,-761,-875,-988,-1092,-1185,-1271,
-1354,-1425,-1497,-1570,-1648,-1728,-1806,-1890,-1975,-2066,-2146,-2244,-2340,-2439,-2543,-2650,-2760,-2878,-2986,-3101,
-3207,-3310,-3406,-3487,-3560,-3647,-3721,-3796,-3878,-3963,-4059,-4159,-4261,-4369,-4473,-4575,-4692,-4813,-4936,-5062,
-5188,-5327,-5459,-5590,-5713,-5828,-5944,-6049,-6144,-6236,-6332,-6422,-6526,-6637,-6750,-6865,-6991,-7122,-7251,-7376,
-7507,-7643,-7777,-7922,-8061,-8197,-8335,-8465,-8586,-8702,-8806,-8898,-8974,-9046,-9120,-9192,-9262,-9341,-9420,-9508,
-9593,-9666,-9752,-9820,-9889,-9948,-10003,-10050,-10091,-10123,-10144,-10154,-10144,-10117,-10063,-10000,-9912,-9809,-9699,-9579,
-9450,-9320,-9175,-9025,-8867,-8683,-8485,-8275,-8037,-7788,-7514,-7221,-6917,-6587,-6237,-5874,-5484,-5078,-4644,-4203,
-3750,-3288,-2818,-2350,-1875,-1394,-915,-440,39,530,1016,1500,1977,2454,2912,3361,3783,4198,4591,4970,
5330,5665,5977,6268,6529,6770,6985,7189,7365,7543,7700,7857,7993,8132,8259,8367,8460,8534,8581,8611,
8630,8627,8611,8588,8541,8491,8419,8342,8243,8134,8026,7923,7804,7704,7614,7527,7450,7371,7297,7219,
7131,7023,6921,6804,6682,6548,6412,6273,6135,5981,5838,5680,5529,5370,5213,5062,4924,4788,4674,4562,
4468,4374,4277,4181,4082,3963,3847,3723,3586,3453,3311,3168,3028,2884,2738,2593,2447,2302,2159,2017,
1891,1765,1655,1559,1458,1370,1277,1178,1080,969,848,725,592,454,311,167,24,-112,-251,-387,
-526,-665,-800,-930,-1053,-1161,-1272,-1360,-1445,-1529,-1612,-1708,-1800,-1902,-2015,-2134,-2262,-2393,-2530,-2662,
-2795,-2921,-3046,-3170,-3291,-3413,-3526,-3642,-3748,-3847,-3935,-4019,-4092,-4168,-4241,-4321,-4407,-4501,-4607,-4720,
-4841,-4967,-5096,-5216,-5336,-5457,-5560,-5667,-5764,-5866,-5955,-6044,-6129,-6198,-6254,-6317,-6364,-6410,-6455,-6499,
-6549,-6601,-6660,-6739,-6818,-6890,-6962,-7029,-7084,-7132,-7156,-7175,-7184,-7174,-7155,-7122,-7083,-7027,-6953,-6866,
-6770,-6659,-6538,-6412,-6277,-6145,-6002,-5857,-5714,-5550,-5373,-5182,-4968,-4732,-4474,-4185,-3878,-3556,-3215,-2849,
-2475,-2098,-1701,-1292,-880,-466,-41,387,812,1234,1660,2083,2499,2911,3327,3740,4151,4543,4938,5330,
5713,6077,6441,6783,7112,7419,7702,7972,8224,8449,8665,8862,9046,9220,9381,9537,9682,9810,9927,10029,
10107,10174,10211,10245,10259,10258,10247,10229,10193,10149,10094,10028,9954,9875,9786,9703,9611,9534,9446,9364,
9292,9209,9116,9027,8918,8802,8668,8528,8385,8235,8082,7931,7780,7628,7480,7323,7177,7032,6882,6741,
6612,6483,6359,6241,6132,6026,5913,5796,5673,5537,5400,5245,5100,4951,4800,4646,4511,4374,4240,4109,
3976,3858,3737,3616,3510,3397,3302,3204,3115,3024,2936,2834,2734,2618,2501,2376,2241,2111,1985,1856,
1737,1622,1512,1408,1300,1195,1104,1002,909,817,733,648,559,483,404,309,209,111,-1,-120,
-238,-358,-480,-595,-705,-811,-907,-1002,-1096,-1191,-1282,-1358,-1451,-1527,-1615,-1685,-1765,-1848,-1930,-2015,
-2112,-2209,-2321,-2436,-2548,-2675,-2799,-2908,-3022,-3129,-3225,-3319,-3415,-3513,-3603,-3695,-3790,-3883,-3969,-4065,
-4152,-4249,-4342,-4446,-4557,-4679,-4796,-4932,-5072,-5214,-5355,-5488,-5611,-5738,-5854,-5957,-6069,-6178,-6284,-6389,
-6494,-6608,-6719,-6828,-6945,-7053,-7171,-7289,-7419,-7554,-7699,-7843,-7995,-8147,-8290,-8431,-8562,-8683,-8790,-8887,
-8983,-9069,-9160,-9244,-9330,-9411,-9493,-9562,-9634,-9702,-9775,-9841,-9900,-9969,-10035,-10092,-10155,-10200,-10242,-10258,
-10252,-10229,-10191,-10138,-10063,-9970,-9876,-9770,-9650,-9524,-9385,-9228,-9060,-8873,-8669,-8458,-8229,-7978,-7723,-7448,
-7150,-6837,-6497,-6137,-5750,-5341,-4910,-4470,-4015,-3550,-3072,-2599,-2122,-1635,-1149,-662,-164,329,829,1314,
1802,2281,2756,3207,3656,4089,4509,4906,5280,5641,5972,6278,6554,6809,7038,7247,7445,7627,7805,7957,
8104,8233,8352,8452,8540,8615,8679,8731,8763,8793,8794,8789,8763,8716,8652,8570,8471,8370,8260,8154,
8043,7940,7847,7756,7662,7578,7486,7394,7297,7204,7097,7001,6890,6778,6673,6550,6415,6266,6113,5960,
5787,5628,5467,5318,5170,5029,4908,4795,4680,4569,4468,4355,4245,4132,4015,3903,3784,3663,3544,3418,
3279,3133,2975,2825,2663,2505,2355,2208,2072,1948,1825,1720,1621,1512,1418,1313,1206,1093,979,865,
751,626,511,386,252,112,-37,-182,-331,-480,-618,-749,-880,-993,-1097,-1197,-1284,-1372,-1466,-1551,
-1652,-1753,-1854,-1965,-2073,-2186,-2307,-2422,-2548,-2679,-2811,-2942,-3079,-3217,-3346,-3469,-3585,-3688,-3780,-3865,
-3949,-4024,-4107,-4195,-4281,-4377,-4482,-4589,-4699,-4811,-4930,-5041,-5154,-5281,-5401,-5529,-5652,-5768,-5885,-5993,
-6083,-6171,-6241,-6303,-6359,-6410,-6464,-6522,-6574,-6646,-6712,-6788,-6865,-6941,-7015,-7088,-7146,-7210,-7271,-7322,
-7370,-7401,-7417,-7428,-7418,-7382,-7336,-7275,-7201,-7110,-7014,-6918,-6822,-6708,-6602,-6483,-6363,-6224,-6076,-5911,
-5732,-5530,-5315,-5074,-4827,-4558,-4256,-3939,-3607,-3249,-2879,-2486,-2088,-1677,-1255,-826,-407,22,449,880,
1307,1732,2164,2601,3024,3452,3875,4299,4712,5118,5514,5900,6266,6620,6953,7265,7554,7825,8083,8326,
8556,8766,8970,9161,9332,9484,9628,9753,9861,9953,10036,10108,10165,10210,10238,10258,10251,10227,10198,10146,
10095,10017,9950,9880,9813,9741,9674,9608,9538,9457,9371,9276,9177,9062,8943,8819,8697,8566,8424,8284,
8134,7979,7820,7657,7491,7329,7171,7017,6882,6750,6623,6509,6391,6283,6155,6026,5896,5760,5617,5483,
5336,5198,5055,4905,4764,4619,4467,4320,4169,4024,3883,3745,3626,3518,3411,3319,3229,3127,3032,2922,
2821,2713,2597,2486,2374,2257,2148,2029,1923,1808,1692,1574,1460,1346,1241,1129,1041,951,875,793,
724,650,572,485,386,293,196,83,-22,-128,-237,-342,-452,-562,-674,-782,-894,-1003,-1107,-1208,
-1305,-1394,-1472,-1552,-1628,-1708,-1793,-1877,-1976,-2081,-2186,-2296,-2411,-2518,-2630,-2737,-2852,-2961,-3074,-3187,
-3300,-3410,-3516,-3618,-3718,-3809,-3896,-3980,-4062,-4143,-4235,-4324,-4432,-4542,-4657,-4773,-4902,-5025,-5143,-5260,
-5376,-5496,-5608,-5723,-5848,-5968,-6084,-6188,-6300,-6406,-6497,-6585,-6680,-6774,-6869,-6979,-7094,-7220,-7355,-7492,
-7632,-7769,-7902,-8040,-8166,-8290,-8420,-8539,-8660,-8785,-8896,-9011,-9108,-9211,-9301,-9380,-9459,-9539,-9612,-9692,
-9783,-9880,-9978,-10072,-10163,-10245,-10319,-10374,-10414,-10448,-10465,-10479,-10475,-10464,-10436,-10393,-10330,-10253,-10157,-10040,
-9904,-9762,-9605,-9434,-9262,-9075,-8887,-8678,-8443,-8187,-7910,-7595,-7266,-6914,-6545,-6153,-5745,-5324,-4892,-4442,
-3982,-3505,-3016,-2527,-2026,-1525,-1027,-528,-33,463,947,1434,1921,2401,2868,3329,3776,4199,4603,4985,
5349,5699,6020,6317,6604,6869,7122,7344,7549,7739,7923,8082,8237,8382,8518,8632,8739,8835,8909,8962,
8999,9008,9000,8977,8941,8896,8837,8768,8696,8615,8522,8425,8322,8215,8110,8005,7902,7807,7711,7614,
7518,7415,7306,7185,7046,6904,6745,6588,6419,6254,6094,5937,5778,5627,5472,5324,5171,5023,4883,4756,
4626,4515,4406,4305,4206,4104,3996,3883,3750,3617,3473,3328,3177,3030,2893,2759,2627,2502,2383,2259,
2139,2021,1904,1800,1699,1596,1512,1421,1330,1236,1135,1029,909,775,633,488,348,198,52,-82,
-214,-344,-472,-595,-715,-842,-965,-1085,-1200,-1319,-1424,-1529,-1634,-1741,-1862,-1979,-2114,-2255,-2406,-2554,
-2707,-2860,-3010,-3151,-3278,-3403,-3529,-3643,-3759,-3869,-3992,-4097,-4203,-4305,-4400,-4486,-4576,-4662,-4762,-4864,
-4967,-5085,-5210,-5333,-5464,-5584,-5699,-5810,-5902,-5986,-6068,-6141,-6214,-6284,-6353,-6428,-6490,-6552,-6609,-6660,
-6719,-6772,-6835,-6900,-6976,-7053,-7134,-7219,-7298,-7367,-7429,-7480,-7508,-7524,-7529,-7535,-7514,-7496,-7467,-7438,
-7398,-7347,-7284,-7215,-7128,-7040,-6935,-6834,-6718,-6596,-6461,-6319,-6152,-5966,-5753,-5517,-5255,-4961,-4652,-4319,
-3972,-3603,-3217,-2820,-2417,-1991,-1558,-1120,-665,-218,241,701,1160,1623,2083,2547,3001,3454,3902,4341,
4759,5174,5566,5949,6308,6665,6992,7310,7608,7885,8149,8389,8605,8804,8982,9149,9300,9438,9574,9703,
9807,9902,9980,10033,10067,10077,10078,10063,10037,10007,9974,9935,9895,9846,9794,9739,9677,9603,9529,9450,
9375,9298,9223,9148,9067,8980,8885,8775,8647,8506,8361,8212,8057,7900,7757,7611,7474,7339,7206,7073,
6938,6794,6656,6518,6379,6245,6111,5979,5849,5707,5567,5419,5260,5096,4922,4751,4580,4413,4257,4117,
3980,3849,3723,3600,3481,3357,3237,3120,2999,2890,2775,2668,2569,2457,2348,2236,2113,1987,1856,1722,
1603,1486,1374,1274,1184,1099,1015,927,851,766,683,592,500,418,330,244,162,82,-8,-103,
-201,-308,-418,-535,-647,-758,-858,-959,-1050,-1132,-1215,-1308,-1390,-1478,-1571,-1670,-1767,-1867,-1965,-2061,
-2156,-2251,-2353,-2463,-2575,-2691,-2810,-2935,-3059,-3180,-3291,-3397,-3500,-3591,-3679,-3766,-3859,-3952,-4044,-4148,
-4248,-4351,-4452,-4550,-4651,-4750,-4850,-4957,-5064,-5175,-5295,-5411,-5534,-5646,-5746,-5849,-5941,-6019,-6099,-6177,
-6262,-6346,-6438,-6534,-6642,-6746,-6858,-6963,-7073,-7181,-7292,-7410,-7529,-7654,-7787,-7918,-8044,-8179,-8300,-8409,
-8519,-8612,-8701,-8790,-8880,-8979,-9076,-9182,-9289,-9396,-9503,-9604,-9690,-9782,-9864,-9935,-10011,-10076,-10142,-10201,
-10247,-10284,-10304,-10301,-10278,-10232,-10169,-10088,-10001,-9904,-9801,-9683,-9556,-9420,-9266,-9093,-8893,-8681,-8445,-8190,
-7916,-7625,-7319,-6994,-6653,-6292,-5915,-5517,-5100,-4670,-4230,-3777,-3325,-2861,-2410,-1952,-1492,-1032,-575,-108,
344,808,1263,1718,2164,2605,3023,3440,3840,4224,4586,4933,5261,5568,5852,6120,6377,6612,6836,7045,
7249,7449,7627,7795,7947,8086,8206,8312,8404,8484,8545,8596,8631,8650,8649,8629,8592,8536,8462,8371,
8280,8178,8081,7983,7882,7792,7692,7588,7481,7361,7237,7107,6967,6827,6692,6547,6406,6255,6104,5945,
5776,5602,5430,5250,5078,4906,4755,4611,4472,4358,4246,4129,4017,3903,3785,3667,3543,3427,3314,3197,
3083,2970,2854,2745,2619,2499,2367,2236,2111,1998,1881,1782,1687,1599,1518,1437,1348,1252,1150,1044,
927,804,687,568,441,315,194,63,-72,-212,-359,-508,-658,-805,-942,-1069,-1190,-1308,-1423,-1530,
-1647,-1764,-1889,-2018,-2154,-2293,-2432,-2564,-2701,-2835,-2963,-3096,-3220,-3356,-3498,-3631,-3763,-3895,-4006,-4115,
-4208,-4299,-4381,-4455,-4527,-4609,-4692,-4783,-4872,-4969,-5067,-5160,-5250,-5339,-5428,-5510,-5599,-5687,-5779,-5870,
-5958,-6042,-6118,-6180,-6237,-6282,-6326,-6360,-6399,-6442,-6486,-6542,-6604,-6670,-6738,-6804,-6861,-6913,-6964,-7007,
-7044,-7079,-7114,-7145,-7166,-7172,-7172,-7154,-7120,-7065,-7004,-6928,-6841,-6751,-6655,-6554,-6447,-6334,-6203,-6061,
-5895,-5711,-5508,-5285,-5042,-4780,-4502,-4206,-3889,-3547,-3192,-2817,-2418,-2007,-1585,-1160,-720,-280,165,604,
1047,1490,1932,2367,2802,3231,3652,4064,4466,4856,5241,5613,5977,6329,6671,6992,7301,7584,7843,8084,
8304,8512,8704,8884,9053,9211,9361,9495,9618,9723,9817,9887,9944,9993,10027,10061,10077,10095,10103,10094,
10072,10032,9975,9917,9835,9753,9675,9596,9515,9436,9359,9279,9184,9081,8973,8852,8722,8581,8444,8303,
8163,8019,7875,7729,7571,7407,7238,7068,6895,6721,6557,6403,6252,6114,5978,5844,5714,5577,5434,5288,
5140,4989,4838,4693,4548,4411,4275,4150,4016,3883,3748,3618,3490,3360,3243,3137,3041,2946,2862,2777,
2692,2603,2508,2411,2305,2200,2092,1991,1890,1791,1689,1593,1499,1404,1298,1197,1094,993,889,793,
706,625,542,466,381,295,193,92,-13,-123,-237,-345,-455,-563,-673,-783,-884,-992,-1098,-1213,
-1321,-1433,-1542,-1646,-1738,-1827,-1916,-1998,-2087,-2177,-2266,-2371,-2472,-2582,-2696,-2804,-2910,-3017,-3119,-3224,
-3324,-3419,-3524,-3626,-3731,-3837,-3936,-4034,-4125,-4210,-4292,-4374,-4454,-4540,-4633,-4730,-4839,-4950,-5064,-5184,
-5299,-5411,-5517,-5625,-5732,-5831,-5937,-6050,-6157,-6269,-6376,-6482,-6585,-6680,-6773,-6867,-6963,-7065,-7166,-7280,
-7410,-7537,-7670,-7803,-7933,-8061,-8182,-8296,-8414,-8525,-8630,-8744,-8855,-8964,-9074,-9174,-9266,-9361,-9438,-9510,
-9584,-9650,-9720,-9785,-9857,-9934,-10001,-10057,-10108,-10142,-10156,-10152,-10140,-10109,-10067,-10011,-9942,-9864,-9769,-9658,
-9523,-9376,-9208,-9014,-8810,-8591,-8352,-8105,-7842,-7570,-7279,-6969,-6643,-6300,-5930,-5544,-5137,-4719,-4289,-3850,
-3400,-2945,-2488,-2026,-1564,-1101,-638,-180,284,735,1191,1634,2074,2512,2932,3343,3741,4126,4492,4842,
5174,5481,5773,6055,6314,6560,6785,7001,7188,7365,7516,7654,7776,7893,7994,8093,8184,8270,8339,8398,
8445,8475,8481,8472,8446,8404,8348,8285,8215,8141,8063,7976,7886,7785,7677,7561,7443,7328,7212,7103,
6995,6891,6788,6680,6571,6453,6321,6177,6027,5869,5710,5548,5392,5241,5096,4951,4811,4673,4535,4397,
4265,4138,4019,3904,3800,3701,3611,3517,3421,3327,3224,3107,2983,2853,2725,2601,2475,2364,2253,2145,
2041,1938,1839,1735,1632,1531,1431,1337,1243,1151,1068,981,888,786,677,554,423,283,146,0,
-144,-284,-417,-552,-685,-815,-948,-1077,-1216,-1354,-1489,-1619,-1751,-1878,-1998,-2121,-2246,-2381,-2518,-2664,
-2819,-2977,-3133,-3291,-3445,-3593,-3735,-3866,-3991,-4112,-4229,-4346,-4455,-4572,-4680,-4783,-4879,-4973,-5058,-5141,
-5220,-5311,-5404,-5503,-5610,-5723,-5836,-5949,-6052,-6150,-6244,-6320,-6388,-6457,-6520,-6583,-6641,-6703,-6766,-6824,
-6877,-6927,-6977,-7019,-7067,-7119,-7178,-7239,-7308,-7379,-7453,-7518,-7577,-7613,-7645,-7651,-7644,-7623,-7598,-7556,
-7508,-7451,-7390,-7306,-7214,-7098,-6972,-6826,-6668,-6494,-6315,-6118,-5907,-5680,-5432,-5164,-4869,-4541,-4187,-3812,
-3405,-2982,-2546,-2102,-1641,-1170,-691,-208,284,779,1270,1757,2243,2720,3181,3632,4076,4511,4934,5345,
5746,6138,6510,6860,7193,7501,7785,8046,8291,8512,8722,8913,9092,9257,9405,9534,9648,9754,9845,9928,
10003,10077,10144,10202,10251,10279,10299,10300,10280,10254,10212,10154,10093,10034,9971,9907,9836,9765,9690,9608,
9514,9418,9317,9218,9112,9014,8910,8803,8678,8553,8418,8267,8101,7932,7754,7568,7387,7211,7039,6877,
6716,6556,6400,6244,6085,5926,5775,5625,5479,5330,5191,5054,4915,4771,4626,4475,4324,4160,4007,3853,
3706,3570,3439,3323,3217,3108,3011,2916,2820,2725,2635,2543,2455,2366,2280,2198,2113,2025,1932,1832,
1731,1618,1507,1397,1290,1188,1096,1005,925,842,758,677,593,501,410,311,219,119,23,-72,
-168,-272,-381,-496,-618,-744,-875,-999,-1122,-1240,-1349,-1452,-1554,-1648,-1747,-1838,-1933,-2027,-2128,-2227,
-2329,-2425,-2527,-2626,-2723,-2823,-2931,-3035,-3152,-3263,-3385,-3502,-3606,-3712,-3810,-3900,-3985,-4062,-4137,-4219,
-4297,-4379,-4468,-4557,-4650,-4739,-4834,-4928,-5026,-5121,-5227,-5338,-5452,-5574,-5693,-5811,-5937,-6047,-6154,-6262,
-6357,-6448,-6535,-6633,-6728,-6834,-6943,-7064,-7187,-7305,-7431,-7559,-7688,-7814,-7947,-8082,-8220,-8366,-8508,-8648,
-8789,-8917,-9035,-9147,-9246,-9340,-9426,-9508,-9596,-9685,-9772,-9857,-9945,-10028,-10105,-10172,-10236,-10289,-10332,-10368,
-10395,-10414,-10423,-10419,-10397,-10358,-10293,-10209,-10106,-9981,-9841,-9685,-9517,-9342,-9148,-8948,-8730,-8504,-8260,-7995,
-7713,-7418,-7097,-6759,-6403,-6031,-5648,-5243,-4822,-4394,-3945,-3488,-3024,-2554,-2082,-1601,-1120,-644,-164,314,
788,1262,1722,2181,2630,3063,3495,3912,4319,4713,5092,5453,5798,6120,6414,6690,6939,7159,7361,7544,
7720,7877,8024,8164,8291,8402,8504,8578,8640,8690,8715,8735,8739,8736,8715,8685,8636,8575,8490,8392,
8282,8155,8016,7880,7747,7620,7491,7375,7263,7154,7043,6926,6803,6680,6543,6414,6280,6150,6009,5874,
5731,5591,5436,5276,5118,4952,4792,4634,4486,4349,4226,4107,4009,3911,3816,3711,3613,3506,3398,3279,
3164,3052,2929,2813,2693,2575,2449,2314,2187,2051,1912,1779,1655,1540,1429,1327,1233,1148,1057,966,
867,760,649,532,402,282,157,33,-96,-230,-360,-499,-641,-785,-931,-1067,-1207,-1341,-1454,-1564,
-1670,-1764,-1862,-1964,-2072,-2182,-2304,-2422,-2554,-2683,-2811,-2940,-3066,-3197,-3326,-3453,-3592,-3723,-3855,-3979,
-4105,-4218,-4323,-4414,-4499,-4579,-4652,-4733,-4818,-4907,-5005,-5111,-5218,-5333,-5436,-5549,-5651,-5756,-5861,-5967,
-6066,-6176,-6276,-6372,-6465,-6553,-6628,-6692,-6743,-6794,-6839,-6885,-6940,-7003,-7077,-7158,-7238,-7328,-7411,-7485,
-7548,-7607,-7667,-7714,-7757,-7794,-7829,-7851,-7864,-7856,-7831,-7787,-7728,-7650,-7561,-7464,-7364,-7260,-7157,-7044,
-6922,-6783,-6632,-6450,-6253,-6029,-5787,-5521,-5235,-4927,-4613,-4260,-3891,-3501,-3091,-2656,-2203,-1734,-1267,-794,
-320,154,624,1095,1568,2042,2505,2979,3449,3904,4353,4792,5219,5632,6023,6400,6768,7113,7441,7749,
8038,8311,8557,8783,8997,9195,9374,9541,9693,9837,9967,10084,10186,10277,10344,10400,10436,10460,10468,10458,
10446,10419,10386,10336,10279,10209,10142,10059,9975,9898,9819,9738,9657,9578,9500,9407,9306,9201,9084,8951,
8814,8670,8524,8371,8220,8067,7913,7755,7588,7426,7261,7100,6938,6789,6647,6516,6381,6253,6126,6001,
5861,5719,5573,5418,5259,5102,4944,4796,4644,4497,4353,4211,4068,3929,3795,3664,3539,3416,3315,3211,
3120,3029,2941,2853,2759,2656,2559,2442,2329,2218,2105,1993,1884,1777,1676,1573,1473,1369,1274,1179,
1089,991,911,830,752,674,594,511,423,323,221,113,-3,-117,-236,-352,-466,-579,-692,-801,
-910,-1021,-1128,-1234,-1337,-1437,-1536,-1627,-1717,-1799,-1893,-1990,-2088,-2189,-2302,-2409,-2532,-2655,-2776,-2895,
-3005,-3116,-3226,-3328,-3428,-3532,-3629,-3728,-3827,-3916,-4006,-4086,-4166,-4246,-4325,-4410,-4500,-4591,-4698,-4807,
-4917,-5033,-5150,-5261,-5375,-5483,-5585,-5688,-5788,-5891,-5989,-6093,-6197,-6293,-6389,-6489,-6584,-6681,-6780,-6886,
-7002,-7120,-7245,-7387,-7534,-7680,-7829,-7971,-8117,-8250,-8381,-8502,-8620,-8732,-8846,-8961,-9067,-9172,-9266,-9366,
-9456,-9534,-9619,-9696,-9778,-9857,-9936,-10009,-10091,-10153,-10213,-10255,-10283,-10295,-10285,-10260,-10224,-10165,-10095,-10010,
-9913,-9798,-9668,-9518,-9366,-9187,-9000,-8800,-8585,-8360,-8114,-7860,-7587,-7299,-6984,-6657,-6305,-5939,-5558,-5156,
-4743,-4318,-3877,-3426,-2968,-2509,-2046,-1578,-1113,-647,-183,284,743,1205,1660,2125,2579,3024,3464,3885,
4291,4674,5031,5375,5702,6001,6289,6561,6816,7050,7270,7474,7659,7815,7968,8101,8226,8336,8443,8540,
8635,8705,8758,8796,8810,8799,8759,8701,8627,8543,8449,8351,8244,8145,8034,7920,7805,7684,7558,7441,
7316,7203,7087,6980,6873,6771,6655,6534,6404,6262,6104,5939,5769,5607,5432,5274,5119,4975,4841,4702,
4579,4454,4328,4217,4103,3997,3893,3799,3705,3620,3520,3415,3302,3185,3047,2913,2759,2611,2465,2320,
2193,2065,1946,1825,1709,1593,1479,1358,1248,1134,1025,911,800,692,575,451,320,181,26,-133,
-299,-471,-629,-793,-935,-1078,-1207,-1341,-1463,-1584,-1697,-1816,-1931,-2038,-2149,-2251,-2358,-2457,-2554,-2662,
-2781,-2899,-3027,-3167,-3307,-3445,-3575,-3695,-3813,-3916,-4014,-4094,-4174,-4250,-4325,-4393,-4475,-4549,-4619,-4690,
-4763,-4831,-4904,-4979,-5072,-5164,-5268,-5382,-5497,-5618,-5728,-5827,-5923,-6005,-6077,-6137,-6193,-6250,-6302,-6354,
-6412,-6474,-6534,-6590,-6646,-6706,-6761,-6816,-6874,-6945,-7012,-7088,-7155,-7225,-7278,-7312,-7333,-7333,-7305,-7265,
-7204,-7140,-7059,-6978,-6884,-6793,-6677,-6563,-6422,-6271,-6110,-5931,-5745,-5552,-5343,-5118,-4882,-4627,-4350,-4053,
-3722,-3368,-2995,-2586,-2166,-1741,-1316,-881,-447,-13,419,860,1298,1738,2173,2603,3036,3461,3872,4280,
4678,5070,5449,5822,6187,6537,6870,7189,7487,7768,8030,8271,8491,8700,8892,9070,9234,9385,9524,9653,
9765,9868,9959,10041,10112,10168,10213,10231,10245,10234,10211,10165,10111,10047,9976,9891,9804,9719,9633,9547,
9454,9358,9265,9161,9054,8950,8834,8719,8602,8480,8348,8209,8054,7895,7731,7549,7370,7196,7024,6851,
6689,6537,6394,6253,6121,5994,5863,5735,5610,5485,5359,5240,5113,4995,4871,4742,4604,4463,4321,4174,
4026,3888,3749,3621,3499,3388,3287,3189,3098,3011,2923,2823,2738,2644,2550,2456,2356,2260,2159,2051,
1941,1823,1702,1577,1452,1326,1212,1098,988,889,800,716,628,550,470,378,292,198,104,10,
-84,-185,-283,-389,-498,-614,-733,-853,-967,-1087,-1195,-1298,-1395,-1486,-1563,-1638,-1707,-1788,-1860,-1936,
-2014,-2099,-2191,-2279,-2368,-2465,-2565,-2661,-2761,-2869,-2983,-3100,-3208,-3329,-3432,-3534,-3628,-3714,-3797,-3875,
-3952,-4024,-4106,-4189,-4274,-4369,-4474,-4580,-4687,-4794,-4910,-5022,-5141,-5263,-5392,-5515,-5651,-5773,-5898,-6014,
-6119,-6218,-6319,-6412,-6505,-6592,-6689,-6786,-6894,-7014,-7134,-7263,-7385,-7512,-7644,-7774,-7907,-8042,-8178,-8312,
-8444,-8573,-8687,-8800,-8893,-8984,-9060,-9135,-9197,-9255,-9316,-9381,-9450,-9520,-9584,-9654,-9717,-9774,-9820,-9864,
-9896,-9918,-9933,-9938,-9927,-9899,-9850,-9791,-9700,-9592,-9465,-9325,-9169,-9001,-8822,-8631,-8437,-8226,-8002,-7761,
-7507,-7240,-6945,-6639,-6319,-5977,-5617,-5240,-4845,-4436,-4005,-3565,-3118,-2656,-2192,-1727,-1268,-810,-350,109,
560,1025,1479,1939,2386,2821,3254,3667,4065,4445,4817,5168,5505,5814,6117,6396,6646,6877,7080,7253,
7412,7547,7680,7798,7913,8020,8132,8227,8320,8390,8442,8478,8498,8496,8477,8447,8407,8355,8289,8209,
8121,8014,7897,7772,7643,7508,7378,7260,7155,7051,6959,6876,6790,6703,6607,6503,6386,6260,6125,5991,
5858,5717,5570,5428,5282,5128,4974,4821,4671,4524,4382,4259,4154,4053,3963,3890,3810,3731,3644,3548,
3446,3331,3214,3090,2966,2841,2711,2583,2455,2323,2186,2053,1923,1793,1668,1554,1449,1366,1281,1199,
1126,1035,944,839,722,603,470,327,192,-5,31,176,288,481,714,1005,1326,1706,2109,2526,
2921,3308,3667,4002,4320,4629,4910,5160,5378,5574,5744,5883,5995,6111,6246,6415,6602,6803,7011,7239,
7474,7727,7983,8246,8504,8755,8991,9231,9477,9723,9954,10158,10311,10400,10417,10380,10291,10164,10013,9831,
9623,9385,9121,8837,8534,8212,7876,7507,7107,6698,6296,5912,5558,5240,4948,4676,4408,4148,3899,3655,
3424,3204,3004,2824,2650,2492,2354,2235,2111,1992,1877,1747,1611,1476,1346,1226,1116,1023,936,849,
766,692,625,561,508,476,457,450,455,482,511,546,585,611,624,613,592,569,541,515,
498,486,479,482,482,484,484,477,472,461,439,429,422,416,410,407,394,375,336,284,
219,137,45,-51,-142,-229,-325,-414,-492,-572,-650,-730,-803,-877,-954,-1032,-1092,-1144,-1194,-1247,
-1301,-1366,-1438,-1530,-1618,-1704,-1786,-1866,-1933,-2003,-2060,-2118,-2172,-2226,-2275,-2330,-2389,-2451,-2504,-2554,
-2589,-2611,-2628,-2645,-2664,-2688,-2717,-2748,-2782,-2818,-2861,-2907,-2951,-2989,-3019,-3040,-3052,-3057,-3066,-3086,
-3109,-3138,-3177,-3215,-3252,-3286,-3331,-3385,-3455,-3526,-3606,-3703,-3823,-3953,-4105,-4270,-4444,-4620,-4784,-4929,
-5071,-5210,-5360,-5531,-5712,-5914,-6116,-6325,-6530,-6736,-6939,-7150,-7361,-7574,-7793,-8024,-8264,-8520,-8787,-9061,
-9322,-9556,-9750,-9914,-10053,-10163,-10257,-10346,-10415,-10470,-10505,-10506,-10484,-10435,-10359,-10260,-10121,-9956,-9777,-9581,
-9371,-9148,-8895,-8605,-8258,-7854,-7383,-6846,-6259,-5643,-5002,-4347,-3680,-3006,-2336,-1666,-1004,-350,295,934,
1557,2157,2737,3307,3859,4400,4919,5421,5895,6329,6721,7062,7356,7610,7821,8000,8149,8281,8401,8502,
8590,8660,8702,8712,8701,8673,8634,8594,8563,8532,8485,8423,8333,8216,8070,7891,7687,7462,7216,6971,
6735,6510,6300,6103,5917,5728,5531,5322,5112,4899,4691,4499,4317,4146,3980,3826,3672,3516,3350,3178,
2994,2803,2612,2427,2261,2116,1993,1892,1804,1718,1643,1571,1506,1444,1394,1358,1329,1308,1294,1275,
1256,1229,1192,1144,1074,998,922,850,784,737,700,685,666,655,643,626,602,579,550,517,
476,438,400,363,316,267,210,137,47,-59,-167,-276,-382,-476,-561,-637,-705,-773,-840,-914,
-994,-1075,-1161,-1260,-1352,-1446,-1536,-1621,-1703,-1784,-1867,-1965,-2065,-2176,-2283,-2384,-2474,-2557,-2624,-2681,
-2727,-2760,-2794,-2826,-2854,-2897,-2938,-2985,-3029,-3076,-3109,-3134,-3155,-3183,-3219,-3259,-3316,-3379,-3455,-3525,
-3598,-3667,-3723,-3765,-3795,-3810,-3834,-3851,-3879,-3926,-3991,-4071,-4164,-4255,-4358,-4462,-4580,-4703,-4848,-5004,
-5184,-5372,-5574,-5779,-5990,-6194,-6382,-6546,-6692,-6826,-6950,-7077,-7222,-7380,-7554,-7743,-7938,-8127,-8307,-8481,
-8634,-8772,-8894,-8999,-9090,-9168,-9230,-9268,-9270,-9225,-9119,-8955,-8727,-8445,-8114,-7754,-7361,-6940,-6487,-5998,
-5467,-4893,-4273,-3609,-2900,-2155,-1387,-613,167,937,1706,2456,3188,3894,4574,5207,5798,6329,6815,7247,
7639,7993,8314,8595,8845,9064,9247,9397,9506,9577,9610,9613,9588,9556,9515,9479,9431,9368,9286,9172,
9038,8893,8734,8572,8412,8255,8110,7981,7851,7732,7610,7477,7328,7158,6970,6780,6586,6404,6224,6058,
5886,5710,5529,5339,5138,4933,4729,4528,4339,4162,4003,3865,3744,3632,3530,3424,3310,3186,3060,2934,
2812,2701,2602,2501,2408,2316,2222,2126,2026,1926,1827,1728,1637,1553,1486,1434,1393,1359,1328,1291,
1251,1201,1143,1081,1025,962,909,857,803,755,708,664,613,562,510,459,413,377,350,332,
315,303,287,269,244,208,165,122,73,27,-25,-66,-108,-147,-190,-229,-274,-322,-378,-435,
-491,-542,-594,-642,-686,-730,-782,-829,-885,-947,-1013,-1086,-1158,-1228,-1298,-1363,-1421,-1474,-1528,-1582,
-1638,-1698,-1766,-1837,-1905,-1975,-2029,-2088,-2131,-2173,-2210,-2251,-2292,-2334,-2384,-2439,-2499,-2559,-2618,-2678,
-2728,-2777,-2825,-2873,-2930,-2993,-3056,-3126,-3194,-3260,-3318,-3374,-3427,-3476,-3518,-3570,-3625,-3690,-3769,-3858,
-3960,-4074,-4182,-4296,-4405,-4513,-4618,-4731,-4849,-4978,-5110,-5248,-5390,-5534,-5682,-5825,-5969,-6107,-6239,-6380,
-6532,-6691,-6873,-7067,-7274,-7488,-7693,-7890,-8071,-8242,-8400,-8551,-8701,-8844,-8984,-9117,-9249,-9364,-9460,-9532,
-9574,-9586,-9564,-9515,-9447,-9372,-9276,-9172,-9042,-8891,-8699,-8466,-8186,-7867,-7507,-7108,-6675,-6212,-5719,-5198,
-4662,-4110,-3536,-2943,-2340,-1725,-1107,-488,127,732,1335,1930,2518,3092,3651,4186,4687,5154,5588,5984,
6348,6683,6986,7270,7527,7752,7948,8115,8248,8348,8423,8484,8531,8570,8609,8650,8684,8709,8716,8698,
8655,8577,8466,8330,8178,8009,7837,7662,7482,7301,7110,6907,6695,6468,6236,5999,5771,5552,5345,5154,
4974,4800,4633,4463,4286,4105,3914,3720,3528,3343,3166,3002,2852,2717,2581,2452,2329,2206,2090,1968,
1868,1778,1707,1647,1607,1569,1548,1524,1489,1453,1405,1343,1282,1218,1159,1105,1062,1020,988,950,
917,881,843,801,759,718,682,652,618,591,556,519,472,408,332,245,151,51,-54,-147,
-243,-334,-420,-506,-590,-671,-766,-859,-955,-1050,-1139,-1227,-1309,-1380,-1449,-1525,-1607,-1693,-1780,-1877,
-1982,-2080,-2177,-2268,-2349,-2430,-2495,-2558,-2617,-2677,-2736,-2800,-2865,-2931,-2986,-3031,-3072,-3105,-3129,-3153,
-3180,-3215,-3260,-3312,-3375,-3440,-3507,-3577,-3640,-3698,-3752,-3802,-3849,-3900,-3957,-4021,-4090,-4168,-4241,-4312,
-4378,-4447,-4510,-4587,-4673,-4775,-4893,-5032,-5188,-5358,-5535,-5715,-5893,-6058,-6214,-6362,-6503,-6645,-6793,-6942,
-7099,-7260,-7415,-7562,-7698,-7823,-7940,-8043,-8145,-8242,-8340,-8438,-8528,-8612,-8681,-8712,-8706,-8653,-8551,-8397,
-8199,-7960,-7696,-7393,-7062,-6695,-6288,-5841,-5349,-4815,-4243,-3638,-3008,-2364,-1706,-1042,-360,331,1029,1733,
2435,3122,3791,4433,5036,5601,6126,6601,7038,7434,7793,8117,8406,8653,8857,9013,9143,9242,9320,9387,
9445,9498,9536,9556,9557,9526,9473,9398,9297,9179,9052,8908,8766,8623,8483,8339,8191,8029,7854,7666,
7475,7285,7099,6921,6751,6587,6425,6253,6073,5889,5688,5479,5264,5042,4826,4616,4417,4232,4060,3897,
3738,3578,3422,3271,3124,2986,2860,2746,2643,2549,2460,2380,2296,2209,2125,2032,1935,1835,1744,1658,
1583,1517,1465,1418,1377,1339,1294,1261,1224,1194,1165,1141,1116,1100,1080,1061,1044,1012,978,935,
885,832,774,726,678,634,599,569,536,505,470,438,400,361,323,281,239,195,150,105,
58,5,-54,-121,-192,-271,-343,-409,-473,-530,-587,-631,-681,-722,-771,-815,-862,-905,-960,-1003,
-1051,-1093,-1137,-1176,-1214,-1259,-1304,-1357,-1410,-1466,-1523,-1577,-1628,-1668,-1710,-1745,-1782,-1812,-1843,-1882,
-1918,-1961,-2008,-2055,-2098,-2143,-2186,-2232,-2276,-2328,-2387,-2455,-2525,-2602,-2680,-2760,-2835,-2910,-2975,-3037,
-3093,-3150,-3205,-3265,-3333,-3409,-3490,-3579,-3666,-3754,-3844,-3941,-4042,-4159,-4277,-4411,-4548,-4694,-4842,-4993,
-5144,-5289,-5426,-5558,-5677,-5797,-5922,-6054,-6199,-6356,-6513,-6681,-6848,-7010,-7174,-7337,-7504,-7669,-7829,-7991,
-8158,-8317,-8479,-8625,-8770,-8885,-8969,-9031,-9071,-9085,-9089,-9084,-9063,-9032,-8987,-8917,-8833,-8716,-8578,-8414,
-8214,-7982,-7717,-7419,-7089,-6729,-6331,-5897,-5423,-4904,-4348,-3759,-3148,-2513,-1862,-1201,-528,145,823,1495,
2154,2794,3412,4005,4568,5098,5593,6060,6492,6894,7263,7596,7882,8116,8301,8437,8538,8603,8649,8675,
8690,8693,8688,8674,8654,8616,8566,8493,8396,8286,8162,8033,7908,7776,7640,7500,7337,7158,6967,6766,
6556,6349,6141,5940,5747,5570,5405,5256,5115,4976,4834,4692,4543,4396,4245,4107,3974,3846,3719,3597,
3470,3341,3206,3072,2935,2802,2667,2545,2432,2336,2253,2184,2128,2073,2017,1960,1900,1846,1787,1729,
1676,1621,1568,1511,1456,1397,1334,1263,1196,1123,1051,982,924,880,846,815,789,766,738,702,
664,618,568,510,452,391,329,260,199,129,61,-18,-99,-188,-271,-358,-437,-507,-575,-637,
-700,-761,-825,-897,-969,-1048,-1131,-1220,-1310,-1402,-1492,-1576,-1662,-1745,-1828,-1918,-2011,-2110,-2203,-2287,
-2372,-2442,-2506,-2562,-2613,-2660,-2707,-2751,-2803,-2857,-2918,-2988,-3055,-3126,-3194,-3259,-3327,-3389,-3458,-3532,
-3613,-3697,-3781,-3859,-3937,-4004,-4066,-4123,-4174,-4226,-4280,-4334,-4406,-4492,-4592,-4712,-4838,-4974,-5110,-5244,
-5380,-5525,-5666,-5821,-5974,-6132,-6290,-6445,-6595,-6739,-6873,-6996,-7108,-7215,-7315,-7421,-7533,-7663,-7800,-7945,
-8082,-8210,-8317,-8404,-8465,-8507,-8522,-8508,-8474,-8401,-8301,-8163,-7988,-7770,-7503,-7177,-6805,-6379,-5920,-5430,
-4905,-4359,-3779,-3172,-2528,-1843,-1128,-377,399,1188,1976,2757,3515,4245,4937,5592,6208,6779,7305,7781,
8199,8560,8877,9143,9373,9568,9731,9873,9987,10079,10146,10188,10204,10190,10148,10077,9991,9889,9776,9654,
9523,9382,9225,9053,8871,8681,8492,8307,8125,7955,7788,7631,7480,7330,7177,7011,6838,6651,6453,6247,
6043,5841,5646,5452,5259,5073,4884,4693,4512,4334,4164,4001,3845,3705,3574,3456,3347,3245,3142,3040,
2927,2815,2700,2582,2470,2363,2258,2158,2064,1972,1886,1803,1724,1651,1579,1516,1456,1406,1365,1328,
1298,1270,1241,1209,1167,1117,1069,1015,957,901,851,800,751,701,658,616,572,531,489,445,
408,371,337,310,275,243,209,164,115,59,-3,-66,-133,-199,-266,-329,-391,-451,-507,-558,
-612,-668,-720,-777,-826,-876,-924,-962,-1006,-1048,-1095,-1140,-1189,-1240,-1297,-1355,-1408,-1469,-1525,-1574,
-1623,-1668,-1712,-1753,-1791,-1833,-1875,-1913,-1955,-1988,-2022,-2059,-2086,-2121,-2159,-2196,-2237,-2289,-2345,-2409,
-2475,-2541,-2612,-2674,-2739,-2801,-2859,-2924,-2985,-3049,-3116,-3186,-3256,-3327,-3395,-3471,-3543,-3625,-3704,-3796,
-3892,-3998,-4115,-4242,-4378,-4513,-4653,-4789,-4917,-5044,-5171,-5300,-5428,-5559,-5690,-5826,-5958,-6097,-6233,-6379,
-6521,-6660,-6805,-6956,-7111,-7274,-7447,-7632,-7817,-8002,-8171,-8337,-8484,-8620,-8742,-8853,-8958,-9050,-9126,-9197,
-9261,-9311,-9352,-9382,-9396,-9389,-9367,-9327,-9278,-9214,-9136,-9040,-8920,-8764,-8572,-8336,-8061,-7735,-7376,-6971,
-6522,-6035,-5515,-4959,-4372,-3754,-3111,-2449,-1765,-1067,-359,358,1077,1800,2515,3220,3902,4557,5181,5762,
6294,6778,7211,7588,7913,8191,8436,8644,8813,8951,9058,9125,9163,9167,9152,9121,9075,9022,8958,8881,
8795,8693,8575,8440,8277,8096,7899,7683,7465,7246,7030,6829,6632,6442,6257,6071,5892,5716,5541,5379,
5220,5071,4931,4796,4667,4539,4414,4287,4155,4006,3860,3710,3560,3420,3289,3169,3061,2961,2864,2778,
2693,2616,2542,2469,2403,2338,2275,2222,2169,2117,2060,1998,1928,1852,1764,1676,1590,1503,1422,1346,
1278,1217,1157,1102,1054,1003,951,900,849,797,745,694,642,591,537,473,403,332,251,167,
84,2,-74,-145,-215,-274,-329,-382,-429,-477,-525,-582,-635,-689,-742,-792,-840,-890,-946,-1003,
-1066,-1136,-1206,-1279,-1356,-1431,-1502,-1575,-1638,-1698,-1746,-1796,-1844,-1895,-1945,-2000,-2059,-2112,-2171,-2230,
-2286,-2344,-2411,-2474,-2554,-2633,-2721,-2811,-2909,-3005,-3103,-3194,-3280,-3358,-3432,-3499,-3570,-3641,-3718,-3799,
-3887,-3979,-4073,-4171,-4275,-4383,-4494,-4612,-4736,-4869,-5009,-5156,-5310,-5464,-5616,-5760,-5893,-6017,-6132,-6233,
-6341,-6444,-6551,-6665,-6780,-6904,-7026,-7146,-7272,-7392,-7505,-7616,-7720,-7822,-7922,-8016,-8102,-8178,-8223,-8244,
-8234,-8189,-8112,-8003,-7872,-7717,-7536,-7338,-7120,-6881,-6617,-6316,-5980,-5603,-5182,-4718,-4219,-3687,-3121,-2522,
-1887,-1222,-524,198,935,1681,2424,3156,3864,4538,5174,5774,6333,6854,7337,7787,8201,8574,8903,9188,
9434,9637,9806,9938,10041,10111,10143,10146,10120,10058,9974,9865,9733,9593,9440,9284,9127,8974,8823,8669,
8516,8356,8186,8013,7835,7655,7475,7290,7105,6920,6728,6537,6341,6139,5937,5732,5533,5338,5152,4977,
4819,4671,4534,4402,4275,4152,4027,3903,3782,3663,3546,3425,3312,3201,3092,2979,2873,2766,2658,2546,
2443,2340,2250,2161,2088,2022,1963,1906,1848,1795,1739,1685,1624,1569,1505,1445,1382,1321,1261,1201,
1138,1079,1011,949,882,823,766,715,669,632,596,562,528,491,457,420,377,332,286,237,
188,142,93,47,-2,-50,-101,-150,-199,-249,-294,-333,-371,-407,-438,-470,-497,-528,-566,-602,
-642,-689,-730,-777,-821,-867,-914,-961,-1006,-1057,-1104,-1155,-1201,-1253,-1300,-1344,-1388,-1429,-1465,-1500,
-1537,-1574,-1614,-1659,-1707,-1760,-1813,-1869,-1930,-1990,-2049,-2110,-2170,-2234,-2300,-2364,-2435,-2502,-2570,-2635,
-2697,-2755,-2813,-2869,-2927,-2987,-3055,-3130,-3210,-3296,-3395,-3492,-3596,-3700,-3808,-3919,-4029,-4143,-4266,-4383,
-4504,-4626,-4751,-4876,-4996,-5112,-5232,-5349,-5466,-5590,-5720,-5864,-6010,-6167,-6334,-6502,-6676,-6845,-7014,-7184,
-7343,-7503,-7661,-7814,-7964,-8107,-8244,-8372,-8483,-8588,-8676,-8756,-8819,-8880,-8936,-8991,-9039,-9077,-9109,-9123,
-9118,-9095,-9042,-8964,-8853,-8710,-8533,-8324,-8075,-7793,-7467,-7105,-6702,-6258,-5770,-5254,-4704,-4121,-3513,-2875,
-2210,-1515,-801,-69,671,1419,2152,2877,3575,4250,4888,5491,6051,6571,7040,7469,7842,8167,8440,8667,
8844,8991,9107,9203,9279,9338,9382,9405,9403,9377,9322,9246,9141,9019,8880,8734,8576,8410,8242,8067,
7885,7695,7503,7306,7109,6919,6742,6569,6412,6259,6120,5985,5849,5711,5564,5417,5262,5098,4936,4777,
4621,4467,4321,4176,4034,3895,3759,3626,3497,3375,3265,3164,3072,2988,2908,2838,2765,2692,2615,2531,
2445,2348,2251,2153,2060,1969,1879,1795,1710,1627,1544,1465,1389,1316,1245,1181,1123,1069,1015,966,
913,859,795,728,649,572,487,400,315,232,151,71,-5,-82,-160,-234,-305,-377,-447,-512,
-574,-629,-685,-739,-792,-844,-908,-973,-1042,-1116,-1192,-1271,-1345,-1415,-1490,-1558,-1620,-1682,-1742,-1799,
-1856,-1913,-1968,-2019,-2067,-2110,-2149,-2190,-2236,-2276,-2327,-2387,-2449,-2516,-2592,-2673,-2754,-2833,-2909,-2989,
-3062,-3130,-3206,-3276,-3352,-3429,-3505,-3580,-3658,-3728,-3802,-3881,-3957,-4042,-4139,-4240,-4355,-4478,-4614,-4749,
-4896,-5034,-5170,-5300,-5428,-5544,-5661,-5775,-5896,-6012,-6123,-6236,-6343,-6443,-6541,-6637,-6732,-6822,-6921,-7016,
-7123,-7227,-7336,-7442,-7539,-7616,-7676,-7710,-7719,-7704,-7667,-7612,-7540,-7450,-7336,-7202,-7045,-6863,-6648,-6410,
-6142,-5849,-5528,-5181,-4811,-4418,-3995,-3544,-3050,-2522,-1951,-1339,-699,-38,641,1321,1996,2660,3305,3928,
4530,5095,5642,6152,6629,7073,7481,7854,8193,8497,8767,9005,9204,9372,9503,9602,9667,9697,9693,9661,
9604,9530,9435,9328,9216,9088,8950,8807,8654,8501,8344,8188,8033,7882,7724,7569,7402,7236,7062,6878,
6689,6493,6292,6094,5897,5706,5522,5345,5178,5018,4860,4707,4562,4422,4288,4162,4041,3928,3819,3707,
3606,3502,3396,3287,3171,3059,2943,2827,2724,2624,2530,2442,2362,2283,2214,2144,2082,2018,1958,1904,
1851,1799,1748,1696,1650,1597,1543,1483,1417,1348,1279,1209,1141,1079,1019,965,911,860,816,770,
726,683,642,596,552,512,470,428,383,338,289,236,179,120,62,-1,-59,-112,-163,-209,
-258,-299,-339,-375,-412,-451,-485,-523,-563,-601,-638,-675,-713,-754,-797,-841,-891,-944,-997,-1048,
-1099,-1148,-1196,-1241,-1281,-1321,-1359,-1396,-1432,-1473,-1514,-1553,-1599,-1645,-1690,-1738,-1786,-1840,-1894,-1958,
-2020,-2093,-2166,-2236,-2310,-2380,-2451,-2518,-2582,-2642,-2706,-2765,-2828,-2897,-2964,-3038,-3110,-3193,-3272,-3355,
-3443,-3537,-3635,-3739,-3848,-3962,-4081,-4204,-4326,-4447,-4568,-4679,-4794,-4898,-5010,-5116,-5228,-5346,-5466,-5589,
-5720,-5853,-5993,-6136,-6282,-6430,-6582,-6735,-6896,-7059,-7227,-7390,-7551,-7702,-7847,-7973,-8089,-8195,-8296,-8388,
-8473,-8554,-8634,-8704,-8767,-8823,-8870,-8906,-8930,-8936,-8926,-8898,-8849,-8780,-8680,-8556,-8393,-8185,-7941,-7649,
-7317,-6946,-6537,-6091,-5608,-5083,-4529,-3940,-3317,-2663,-1987,-1288,-573,154,890,1619,2344,3056,3752,4415,
5049,5641,6184,6674,7111,7495,7825,8107,8344,8547,8713,8853,8963,9049,9111,9141,9148,9127,9080,9020,
8944,8862,8761,8658,8527,8390,8234,8066,7883,7694,7500,7304,7106,6918,6742,6578,6423,6281,6137,5999,
5858,5713,5573,5434,5295,5161,5031,4895,4759,4623,4486,4347,4202,4059,3916,3779,3642,3521,3410,3313,
3222,3140,3065,2985,2907,2831,2756,2682,2606,2528,2453,2372,2294,2211,2129,2046,1960,1863,1775,1685,
1602,1524,1454,1391,1337,1285,1234,1183,1132,1075,1020,962,900,832,766,699,629,564,490,418,
338,259,178,101,26,-43,-107,-167,-220,-271,-322,-370,-421,-472,-532,-592,-652,-717,-788,-853,
-921,-989,-1058,-1131,-1206,-1283,-1361,-1437,-1508,-1578,-1644,-1704,-1759,-1813,-1866,-1913,-1967,-2020,-2086,-2153,
-2227,-2300,-2383,-2462,-2544,-2625,-2712,-2799,-2891,-2983,-3079,-3173,-3264,-3355,-3441,-3524,-3600,-3677,-3745,-3821,
-3893,-3980,-4072,-4173,-4284,-4397,-4514,-4635,-4755,-4880,-5004,-5134,-5264,-5395,-5525,-5656,-5785,-5908,-6027,-6137,
-6238,-6329,-6417,-6500,-6587,-6680,-6780,-6884,-6992,-7103,-7209,-7310,-7402,-7485,-7555,-7611,-7656,-7683,-7696,-7692,
-7669,-7623,-7553,-7452,-7318,-7153,-6956,-6734,-6494,-6229,-5947,-5644,-5313,-4956,-4563,-4134,-3669,-3160,-2614,-2027,
-1410,-765,-101,577,1262,1949,2627,3297,3946,4572,5172,5738,6274,6765,7223,7645,8028,8375,8685,8962,
9206,9411,9586,9721,9820,9888,9928,9938,9922,9879,9814,9720,9611,9488,9351,9207,9061,8906,8759,8610,
8463,8321,8170,8023,7871,7708,7542,7367,7192,7010,6826,6642,6467,6282,6097,5917,5742,5563,5393,5226,
5072,4922,4779,4653,4533,4421,4307,4199,4087,3976,3860,3745,3628,3512,3398,3283,3172,3064,2958,2859,
2755,2658,2563,2473,2385,2308,2233,2166,2105,2047,1988,1928,1869,1807,1743,1672,1604,1533,1463,1388,
1318,1252,1186,1123,1062,1002,945,886,833,784,736,692,654,615,582,538,501,457,410,360,
304,251,195,138,86,32,-18,-67,-116,-161,-208,-253,-299,-336,-374,-413,-447,-479,-513,-550,
-589,-629,-675,-720,-771,-819,-874,-928,-980,-1029,-1077,-1125,-1175,-1219,-1266,-1313,-1359,-1403,-1444,-1485,
-1530,-1566,-1610,-1651,-1698,-1747,-1799,-1859,-1922,-1986,-2055,-2123,-2189,-2256,-2322,-2383,-2449,-2515,-2577,-2644,
-2710,-2776,-2843,-2906,-2973,-3041,-3109,-3181,-3259,-3346,-3437,-3533,-3641,-3753,-3865,-3980,-4090,-4207,-4323,-4438,
-4550,-4668,-4782,-4898,-5015,-5133,-5254,-5375,-5496,-5620,-5742,-5871,-6005,-6147,-6299,-6459,-6625,-6795,-6966,-7135,
-7299,-7459,-7615,-7763,-7903,-8042,-8171,-8292,-8411,-8527,-8633,-8729,-8815,-8897,-8969,-9029,-9083,-9134,-9179,-9216,
-9237,-9239,-9221,-9168,-9089,-8974,-8823,-8634,-8403,-8138,-7830,-7480,-7090,-6657,-6187,-5666,-5107,-4507,-3873,-3207,
-2511,-1790,-1048,-288,490,1275,2065,2845,3600,4328,5012,5645,6233,6767,7248,7680,8065,8402,8688,8924,
9123,9271,9385,9464,9515,9539,9544,9523,9494,9448,9388,9306,9205,9080,8936,8768,8588,8397,8201,8007,
7815,7623,7435,7250,7068,6892,6717,6547,6382,6222,6068,5922,5780,5645,5513,5377,5237,5092,4940,4784,
4623,4465,4313,4166,4021,3891,3761,3643,3526,3416,3312,3214,3117,3025,2940,2856,2781,2707,2633,2558,
2476,2390,2298,2203,2107,2006,1908,1817,1730,1647,1568,1492,1424,1359,1288,1227,1163,1099,1042,987,
931,873,816,757,695,621,551,475,396,313,233,159,81,10,-56,-117,-173,-230,-286,-340,
-393,-452,-500,-552,-603,-656,-706,-759,-811,-874,-936,-1004,-1072,-1145,-1221,-1288,-1353,-1415,-1473,-1526,
-1576,-1624,-1673,-1725,-1773,-1823,-1874,-1926,-1977,-2032,-2087,-2148,-2211,-2273,-2348,-2427,-2510,-2596,-2681,-2771,
-2852,-2933,-3009,-3079,-3148,-3216,-3289,-3362,-3435,-3512,-3593,-3673,-3763,-3853,-3947,-4046,-4146,-4252,-4374,-4493,
-4624,-4754,-4887,-5020,-5149,-5265,-5379,-5488,-5589,-5687,-5786,-5884,-5985,-6088,-6192,-6304,-6410,-6519,-6621,-6728,
-6835,-6934,-7037,-7145,-7248,-7346,-7435,-7510,-7573,-7610,-7625,-7621,-7590,-7544,-7474,-7392,-7293,-7185,-7059,-6918,
-6754,-6563,-6346,-6098,-5820,-5507,-5161,-4788,-4377,-3925,-3438,-2909,-2345,-1744,-1106,-439,248,950,1651,2347,
3027,3680,4312,4917,5489,6038,6553,7034,7482,7892,8265,8607,8906,9166,9385,9561,9699,9792,9850,9873,
9862,9828,9766,9687,9594,9486,9370,9248,9116,8978,8832,8685,8530,8371,8210,8048,7882,7713,7541,7363,
7183,6994,6798,6603,6407,6207,6018,5833,5658,5493,5335,5190,5051,4910,4780,4653,4523,4398,4274,4154,
4037,3917,3803,3687,3569,3454,3333,3214,3100,2983,2873,2773,2676,2590,2506,2433,2358,2293,2227,2161,
2097,2028,1963,1895,1828,1764,1697,1633,1564,1498,1422,1354,1282,1213,1144,1083,1026,971,923,877,
833,794,754,714,674,628,583,539,492,446,398,354,308,256,208,156,106,56,6,-36,
-76,-117,-149,-182,-212,-240,-268,-298,-331,-365,-402,-442,-481,-520,-560,-604,-642,-686,-732,-776,
-821,-868,-915,-960,-999,-1039,-1075,-1111,-1146,-1182,-1215,-1259,-1297,-1344,-1391,-1443,-1496,-1550,-1604,-1663,
-1724,-1782,-1846,-1909,-1978,-2045,-2111,-2176,-2243,-2301,-2361,-2418,-2479,-2536,-2597,-2661,-2732,-2804,-2883,-2970,
-3056,-3151,-3244,-3336,-3436,-3536,-3639,-3741,-3853,-3964,-4076,-4184,-4296,-4404,-4507,-4612,-4715,-4822,-4931,-5044,
-5166,-5298,-5432,-5580,-5728,-5884,-6038,-6193,-6352,-6512,-6672,-6835,-6997,-7158,-7319,-7476,-7625,-7771,-7903,-8032,
-8155,-8273,-8390,-8501,-8621,-8739,-8858,-8975,-9083,-9180,-9267,-9338,-9390,-9424,-9437,-9426,-9396,-9335,-9249,-9124,
-8963,-8766,-8526,-8245,-7922,-7560,-7165,-6731,-6257,-5746,-5192,-4595,-3954,-3269,-2549,-1797,-1013,-216,588,1397,
2198,2981,3739,4462,5149,5788,6375,6908,7384,7808,8178,8499,8781,9027,9231,9406,9548,9654,9724,9760,
9764,9738,9680,9599,9500,9385,9254,9113,8956,8799,8626,8444,8259,8072,7887,7708,7539,7378,7230,7082,
6944,6808,6670,6528,6384,6233,6077,5917,5760,5604,5450,5300,5150,5000,4856,4709,4568,4431,4299,4179,
4059,3956,3860,3768,3684,3599,3516,3430,3340,3242,3142,3040,2938,2842,2738,2643,2546,2452,2358,2269,
2175,2091,2008,1928,1851,1782,1721,1663,1603,1549,1490,1426,1359,1289,1212,1131,1051,968,887,805,
729,647,573,495,422,348,278,207,139,76,16,-38,-93,-147,-202,-262,-327,-397,-470,-547,
-621,-703,-776,-855,-927,-1001,-1071,-1140,-1207,-1278,-1343,-1408,-1469,-1531,-1584,-1637,-1687,-1742,-1795,-1857,
-1920,-1992,-2067,-2150,-2231,-2316,-2405,-2487,-2572,-2651,-2732,-2811,-2889,-2968,-3050,-3127,-3202,-3278,-3350,-3424,
-3494,-3567,-3648,-3731,-3819,-3918,-4028,-4142,-4259,-4378,-4504,-4620,-4736,-4846,-4955,-5068,-5174,-5274,-5381,-5485,
-5583,-5685,-5778,-5875,-5966,-6053,-6147,-6241,-6340,-6450,-6560,-6674,-6791,-6902,-7009,-7105,-7188,-7253,-7306,-7347,
-7374,-7383,-7387,-7376,-7348,-7311,-7254,-7179,-7087,-6975,-6845,-6697,-6531,-6348,-6146,-5929,-5682,-5403,-5083,-4730,
-4324,-3883,-3399,-2877,-2323,-1736,-1124,-500,142,791,1439,2087,2727,3353,3964,4554,5117,5660,6173,6655,
7105,7524,7904,8247,8552,8815,9036,9224,9366,9476,9551,9598,9611,9603,9565,9508,9431,9341,9238,9132,
9013,8895,8769,8643,8508,8369,8220,8063,7892,7714,7529,7340,7145,6953,6764,6576,6396,6218,6044,5874,
5708,5545,5393,5243,5099,4965,4837,4710,4591,4468,4346,4222,4097,3964,3838,3699,3570,3441,3319,3202,
3095,2991,2891,2792,2705,2615,2532,2450,2373,2299,2233,2162,2095,2030,1961,1891,1821,1739,1658,1581,
1500,1426,1346,1282,1215,1154,1095,1042,987,935,885,834,788,744,697,656,614,570,525,475,
427,373,316,261,203,150,91,45,-4,-45,-88,-126,-164,-199,-235,-273,-309,-344,-379,-414,
-448,-485,-518,-562,-604,-650,-697,-750,-794,-845,-890,-937,-980,-1020,-1058,-1096,-1130,-1167,-1203,-1247,
-1288,-1325,-1367,-1413,-1455,-1500,-1548,-1600,-1657,-1717,-1780,-1844,-1909,-1977,-2045,-2112,-2177,-2235,-2292,-2352,
-2408,-2469,-2529,-2591,-2659,-2730,-2795,-2866,-2944,-3017,-3098,-3182,-3273,-3368,-3465,-3569,-3677,-3783,-3888,-3993,
-4098,-4196,-4291,-4386,-4486,-4586,-4688,-4793,-4908,-5024,-5140,-5259,-5386,-5513,-5646,-5782,-5923,-6073,-6230,-6383,
-6548,-6707,-6868,-7020,-7167,-7305,-7438,-7567,-7693,-7816,-7939,-8065,-8187,-8311,-8433,-8548,-8663,-8773,-8870,-8965,
-9053,-9132,-9205,-9260,-9306,-9322,-9315,-9279,-9206,-9106,-8973,-8802,-8602,-8371,-8105,-7811,-7476,-7108,-6700,-6247,
-5750,-5209,-4629,-4007,-3353,-2663,-1946,-1201,-435,343,1126,1909,2674,3412,4114,4772,5383,5943,6458,6931,
7357,7741,8084,8388,8647,8862,9032,9170,9269,9338,9374,9386,9371,9333,9270,9187,9078,8954,8801,8640,
8470,8295,8117,7949,7787,7629,7480,7330,7184,7037,6890,6741,6593,6442,6297,6149,6001,5854,5706,5554,
5397,5240,5080,4916,4754,4601,4453,4320,4195,4080,3970,3869,3767,3670,3571,3475,3380,3285,3190,3093,
2999,2905,2814,2717,2619,2516,2414,2309,2210,2112,2022,1937,1861,1791,1725,1665,1603,1546,1485,1424,
1360,1294,1231,1161,1093,1026,959,887,813,739,660,581,503,428,356,289,227,172,119,67,
21,-31,-79,-134,-194,-253,-315,-377,-445,-507,-575,-638,-708,-779,-858,-928,-1000,-1077,-1145,-1211,
-1273,-1332,-1386,-1436,-1486,-1542,-1595,-1655,-1721,-1790,-1862,-1935,-2009,-2089,-2166,-2249,-2326,-2416,-2501,-2589,
-2682,-2770,-2857,-2943,-3022,-3094,-3166,-3236,-3304,-3376,-3454,-3538,-3623,-3720,-3815,-3921,-4027,-4134,-4247,-4357,
-4470,-4583,-4699,-4816,-4933,-5049,-5166,-5278,-5380,-5480,-5568,-5652,-5740,-5827,-5920,-6016,-6120,-6226,-6332,-6446,
-6557,-6668,-6771,-6875,-6966,-7049,-7126,-7198,-7263,-7316,-7357,-7380,-7384,-7368,-7336,-7283,-7210,-7127,-7031,-6924,
-6800,-6665,-6517,-6345,-6151,-5926,-5668,-5380,-5043,-4674,-4268,-3824,-3345,-2836,-2288,-1718,-1118,-493,147,796,
1454,2104,2746,3372,3980,4564,5127,5658,6170,6644,7093,7506,7887,8235,8545,8814,9048,9242,9399,9518,
9594,9648,9661,9650,9617,9565,9498,9422,9338,9247,9152,9047,8930,8811,8677,8533,8382,8227,8065,7897,
7727,7556,7380,7203,7019,6838,6655,6475,6293,6124,5958,5801,5652,5514,5380,5257,5128,5003,4875,4746,
4615,4477,4349,4219,4087,3961,3839,3714,3593,3477,3360,3250,3141,3035,2940,2853,2767,2686,2617,2548,
2477,2405,2333,2260,2185,2104,2024,1943,1866,1787,1715,1641,1570,1497,1426,1357,1294,1231,1172,1119,
1069,1020,972,930,889,840,794,744,695,634,580,520,464,406,350,299,245,194,142,93,
47,-2,-44,-86,-126,-163,-198,-234,-267,-303,-343,-381,-425,-469,-521,-573,-624,-672,-721,-763,
-814,-856,-901,-946,-989,-1034,-1076,-1116,-1155,-1197,-1233,-1269,-1310,-1352,-1396,-1442,-1500,-1555,-1615,-1680,
-1743,-1804,-1865,-1928,-1991,-2054,-2114,-2176,-2240,-2300,-2360,-2428,-2488,-2548,-2610,-2673,-2739,-2805,-2879,-2959,
-3043,-3133,-3230,-3329,-3433,-3534,-3634,-3737,-3838,-3937,-4039,-4144,-4247,-4352,-4459,-4568,-4674,-4782,-4888,-4999,
-5115,-5230,-5356,-5487,-5630,-5774,-5928,-6085,-6246,-6403,-6557,-6711,-6862,-7001,-7145,-7285,-7425,-7567,-7701,-7834,
-7967,-8088,-8206,-8318,-8428,-8536,-8648,-8753,-8860,-8960,-9056,-9142,-9215,-9270,-9297,-9301,-9280,-9232,-9150,-9048,
-8914,-8752,-8558,-8326,-8058,-7753,-7404,-7017,-6589,-6123,-5619,-5075,-4493,-3874,-3214,-2519,-1787,-1033,-256,529,
1315,2092,2850,3573,4265,4917,5521,6088,6610,7080,7508,7883,8212,8496,8733,8934,9104,9235,9343,9418,
9464,9477,9462,9414,9337,9236,9119,8981,8834,8680,8517,8356,8194,8029,7869,7707,7545,7384,7221,7070,
6925,6780,6642,6503,6366,6225,6075,5921,5762,5602,5434,5271,5107,4951,4801,4657,4519,4392,4263,4143,
4023,3908,3799,3689,3591,3497,3403,3311,3221,3128,3031,2930,2822,2717,2610,2501,2395,2292,2194,2102,
2016,1936,1856,1780,1706,1637,1562,1498,1433,1373,1314,1252,1193,1130,1064,991,915,837,755,674,
596,519,447,378,313,253,194,134,82,24,-31,-85,-140,-192,-243,-298,-353,-408,-465,-530,
-595,-671,-743,-816,-889,-955,-1027,-1087,-1152,-1210,-1265,-1317,-1374,-1425,-1480,-1536,-1593,-1656,-1713,-1772,
-1835,-1900,-1967,-2039,-2122,-2204,-2289,-2376,-2467,-2552,-2635,-2717,-2791,-2869,-2938,-3005,-3078,-3153,-3228,-3306,
-3387,-3469,-3556,-3640,-3730,-3825,-3918,-4025,-4130,-4246,-4365,-4484,-4606,-4725,-4842,-4951,-5054,-5155,-5249,-5342,
-5436,-5533,-5629,-5730,-5832,-5934,-6045,-6153,-6256,-6366,-6475,-6584,-6697,-6811,-6924,-7032,-7134,-7230,-7311,-7378,
-7428,-7461,-7479,-7482,-7470,-7454,-7426,-7388,-7340,-7279,-7206,-7108,-6993,-6857,-6699,-6515,-6297,-6053,-5780,-5473,
-5129,-4744,-4320,-3848,-3338,-2789,-2207,-1593,-959,-305,351,1022,1682,2343,2989,3621,4230,4824,5386,5929,
6445,6926,7375,7788,8159,8491,8777,9020,9222,9377,9494,9574,9624,9648,9649,9625,9588,9529,9459,9373,
9273,9163,9045,8911,8780,8641,8499,8346,8188,8028,7854,7672,7486,7290,7097,6901,6712,6528,6350,6179,
6019,5865,5716,5571,5427,5285,5144,5006,4872,4741,4606,4481,4347,4221,4092,3966,3830,3697,3568,3441,
3319,3202,3094,2994,2900,2815,2732,2654,2574,2496,2421,2344,2263,2190,2117,2042,1969,1893,1818,1744,
1666,1587,1515,1440,1368,1301,1240,1186,1131,1088,1042,999,957,909,865,820,772,723,676,629,
584,531,482,432,384,328,276,227,177,128,85,47,9,-26,-56,-88,-119,-154,-190,-229,
-268,-311,-352,-394,-437,-482,-524,-572,-617,-666,-710,-760,-802,-848,-890,-929,-963,-1001,-1034,-1067,
-1103,-1141,-1184,-1225,-1270,-1320,-1372,-1422,-1474,-1529,-1584,-1641,-1698,-1760,-1821,-1881,-1943,-2004,-2063,-2119,
-2173,-2225,-2283,-2334,-2391,-2455,-2516,-2589,-2663,-2740,-2823,-2908,-2991,-3079,-3170,-3264,-3359,-3454,-3551,-3655,
-3754,-3857,-3955,-4058,-4153,-4247,-4343,-4439,-4542,-4651,-4767,-4889,-5017,-5151,-5289,-5430,-5574,-5719,-5865,-6014,
-6167,-6317,-6473,-6629,-6781,-6934,-7083,-7224,-7363,-7499,-7626,-7757,-7884,-8015,-8153,-8289,-8433,-8573,-8710,-8842,
-8968,-9075,-9173,-9260,-9331,-9391,-9431,-9453,-9454,-9429,-9377,-9292,-9179,-9034,-8854,-8644,-8405,-8129,-7823,-7480,
-7105,-6684,-6215,-5697,-5136,-4527,-3870,-3174,-2447,-1697,-921,-133,663,1459,2244,3009,3743,4438,5090,5700,
6258,6773,7242,7667,8050,8388,8689,8946,9162,9327,9457,9543,9588,9600,9582,9539,9474,9388,9284,9164,
9027,8881,8721,8561,8402,8238,8080,7931,7783,7641,7505,7368,7224,7077,6924,6766,6602,6442,6272,6108,
5947,5784,5621,5467,5309,5151,5000,4857,4712,4579,4452,4336,4225,4125,4024,3928,3833,3728,3626,3519,
3411,3297,3187,3076,2971,2865,2760,2660,2563,2467,2370,2278,2189,2106,2025,1953,1887,1824,1760,1699,
1633,1568,1497,1424,1347,1269,1186,1105,1027,951,876,799,726,655,584,516,444,380,314,260,
206,155,108,55,-2,-56,-117,-183,-249,-318,-392,-465,-539,-608,-677,-742,-813,-877,-942,-1008,
-1068,-1130,-1184,-1247,-1298,-1350,-1403,-1456,-1515,-1575,-1637,-1709,-1783,-1864,-1944,-2027,-2114,-2195,-2274,-2352,
-2433,-2508,-2586,-2663,-2743,-2819,-2895,-2965,-3041,-3112,-3183,-3258,-3334,-3418,-3506,-3601,-3704,-3810,-3921,-4035,
-4146,-4258,-4367,-4472,-4578,-4680,-4782,-4883,-4985,-5087,-5186,-5285,-5387,-5481,-5574,-5671,-5766,-5870,-5979,-6092,
-6212,-6338,-6461,-6587,-6705,-6817,-6924,-7017,-7102,-7178,-7242,-7298,-7346,-7388,-7422,-7443,-7456,-7456,-7436,-7409,
-7368,-7321,-7263,-7191,-7107,-7004,-6876,-6727,-6546,-6332,-6078,-5786,-5450,-5079,-4665,-4217,-3735,-3218,-2680,-2111,
-1514,-901,-267,375,1029,1684,2335,2974,3605,4219,4808,5383,5923,6436,6912,7351,7755,8115,8433,8711,
8947,9149,9305,9425,9515,9572,9600,9604,9583,9548,9499,9437,9364,9279,9182,9076,8962,8827,8681,8519,
8348,8173,7991,7806,7623,7439,7261,7081,6902,6729,6559,6388,6230,6070,5914,5764,5619,5481,5349,5212,
5075,4934,4792,4644,4497,4351,4203,4061,3924,3796,3671,3554,3434,3326,3222,3118,3018,2926,2837,2745,
2662,2581,2505,2426,2345,2262,2180,2092,2003,1911,1828,1738,1657,1579,1507,1439,1373,1309,1251,1191,
1132,1078,1024,971,919,872,821,774,719,670,616,556,497,435,376,320,261,210,163,113,
71,29,-13,-54,-92,-131,-172,-209,-245,-287,-323,-364,-404,-451,-496,-543,-591,-646,-696,-745,
-796,-844,-883,-924,-962,-999,-1039,-1074,-1112,-1150,-1189,-1232,-1268,-1313,-1357,-1400,-1445,-1495,-1547,-1600,
-1657,-1715,-1777,-1839,-1896,-1956,-2011,-2063,-2114,-2165,-2220,-2271,-2324,-2378,-2439,-2498,-2559,-2623,-2691,-2761,
-2832,-2906,-2985,-3065,-3153,-3240,-3335,-3429,-3522,-3611,-3700,-3788,-3870,-3958,-4046,-4136,-4228,-4324,-4425,-4528,
-4636,-4746,-4861,-4981,-5101,-5226,-5358,-5497,-5638,-5785,-5932,-6084,-6233,-6376,-6515,-6651,-6785,-6916,-7044,-7176,
-7308,-7442,-7580,-7721,-7862,-8001,-8138,-8275,-8406,-8534,-8662,-8788,-8908,-9017,-9119,-9208,-9279,-9331,-9356,-9361,
-9340,-9294,-9227,-9136,-9025,-8892,-8732,-8545,-8328,-8072,-7778,-7443,-7070,-6656,-6194,-5689,-5146,-4558,-3927,-3255,
-2557,-1819,-1061,-292,484,1256,2008,2743,3450,4123,4762,5367,5930,6453,6932,7368,7757,8100,8401,8652,
8865,9034,9165,9261,9320,9343,9332,9290,9219,9126,9018,8893,8765,8629,8499,8366,8232,8098,7962,7825,
7683,7539,7391,7242,7091,6939,6788,6632,6479,6320,6152,5982,5814,5643,5477,5315,5158,5013,4877,4746,
4628,4508,4398,4290,4181,4071,3962,3850,3741,3634,3529,3420,3313,3206,3094,2981,2872,2760,2651,2546,
2447,2358,2272,2193,2121,2053,1988,1922,1855,1789,1715,1643,1574,1500,1427,1359,1282,1212,1132,1055,
973,900,821,749,677,609,550,490,438,387,335,285,233,183,122,59,-3,-61,-126,-193,
-254,-326,-395,-465,-534,-603,-673,-744,-807,-869,-927,-983,-1034,-1082,-1134,-1182,-1238,-1294,-1355,-1418,
-1490,-1555,-1626,-1702,-1770,-1849,-1928,-2005,-2085,-2168,-2250,-2330,-2411,-2487,-2559,-2632,-2696,-2763,-2828,-2900,
-2972,-3047,-3129,-3216,-3312,-3405,-3502,-3606,-3707,-3808,-3911,-4016,-4124,-4235,-4342,-4449,-4556,-4658,-4756,-4849,
-4943,-5029,-5120,-5209,-5306,-5404,-5507,-5621,-5736,-5858,-5978,-6093,-6211,-6322,-6435,-6542,-6644,-6750,-6846,-6932,
-7012,-7081,-7137,-7186,-7217,-7242,-7257,-7256,-7253,-7246,-7232,-7209,-7179,-7141,-7081,-7000,-6896,-6767,-6608,-6420,
-6200,-5952,-5666,-5345,-4988,-4594,-4163,-3699,-3201,-2676,-2119,-1539,-943,-329,295,922,1558,2188,2816,3433,
4034,4618,5180,5720,6230,6709,7149,7560,7925,8249,8530,8773,8969,9134,9254,9350,9414,9460,9478,9482,
9473,9443,9393,9329,9250,9152,9036,8917,8782,8639,8484,8324,8164,7993,7818,7646,7456,7277,7095,6914,
6743,6582,6421,6270,6124,5981,5842,5697,5556,5412,5265,5116,4967,4815,4672,4526,4384,4249,4113,3977,
3848,3719,3596,3475,3362,3260,3160,3067,2983,2896,2818,2733,2648,2562,2477,2384,2298,2206,2119,2033,
1949,1867,1788,1709,1633,1562,1490,1425,1356,1300,1244,1190,1139,1093,1046,995,942,891,836,780,
719,661,604,545,487,431,380,329,277,230,182,136,89,45,9,-33,-71,-105,-140,-179,
-220,-263,-309,-355,-407,-458,-507,-556,-608,-655,-703,-746,-791,-835,-876,-919,-960,-1003,-1042,-1078,
-1115,-1154,-1188,-1232,-1276,-1323,-1376,-1430,-1486,-1542,-1601,-1659,-1714,-1775,-1832,-1885,-1940,-1998,-2053,-2112,
-2165,-2226,-2284,-2338,-2395,-2455,-2510,-2577,-2639,-2710,-2787,-2868,-2949,-3036,-3126,-3215,-3303,-3393,-3483,-3572,
-3655,-3747,-3839,-3929,-4023,-4114,-4211,-4305,-4401,-4500,-4606,-4708,-4821,-4939,-5067,-5196,-5332,-5472,-5616,-5759,
-5905,-6041,-6180,-6317,-6452,-6586,-6726,-6858,-6994,-7128,-7263,-7394,-7524,-7652,-7783,-7911,-8040,-8172,-8306,-8444,
-8575,-8704,-8825,-8935,-9023,-9103,-9160,-9202,-9223,-9225,-9210,-9177,-9120,-9043,-8941,-8809,-8650,-8461,-8238,-7986,
-7699,-7377,-7019,-6628,-6188,-5710,-5181,-4612,-3998,-3340,-2653,-1937,-1205,-459,295,1045,1787,2514,3218,3893,
4532,5135,5698,6221,6702,7141,7536,7893,8207,8484,8717,8904,9051,9159,9225,9254,9247,9214,9158,9083,
8991,8893,8784,8670,8543,8413,8278,8142,8004,7867,7730,7595,7459,7321,7184,7038,6883,6728,6566,6400,
6227,6053,5884,5718,5557,5404,5258,5115,4979,4842,4713,4588,4467,4349,4237,4129,4021,3917,3809,3702,
3595,3482,3368,3248,3130,3007,2894,2783,2680,2577,2484,2393,2306,2223,2143,2064,1987,1914,1841,1769,
1703,1632,1564,1492,1423,1343,1265,1179,1098,1013,931,853,778,707,640,579,515,457,397,341,
283,228,170,113,56,1,-58,-118,-182,-244,-316,-386,-463,-535,-610,-680,-747,-812,-875,-934,
-987,-1041,-1097,-1152,-1210,-1262,-1324,-1379,-1437,-1498,-1559,-1623,-1694,-1762,-1838,-1917,-1998,-2082,-2164,-2246,
-2323,-2402,-2473,-2546,-2612,-2676,-2745,-2820,-2888,-2963,-3036,-3119,-3195,-3277,-3363,-3450,-3543,-3641,-3739,-3846,
-3954,-4065,-4178,-4285,-4392,-4497,-4592,-4687,-4780,-4870,-4962,-5054,-5152,-5252,-5353,-5457,-5564,-5666,-5781,-5891,
-6009,-6122,-6238,-6358,-6478,-6593,-6709,-6815,-6918,-7005,-7082,-7144,-7201,-7247,-7285,-7316,-7349,-7367,-7380,-7387,
-7383,-7373,-7343,-7303,-7247,-7171,-7077,-6960,-6821,-6653,-6457,-6223,-5957,-5647,-5301,-4910,-4487,-4030,-3535,-3014,
-2465,-1893,-1300,-689,-61,574,1223,1872,2518,3155,3781,4388,4978,5540,6079,6582,7049,7478,7863,8206,
8506,8765,8978,9160,9308,9420,9508,9568,9600,9610,9600,9568,9517,9449,9366,9273,9172,9055,8928,8791,
8646,8485,8311,8132,7953,7767,7581,7397,7222,7054,6886,6723,6571,6415,6261,6111,5961,5812,5664,5517,
5371,5230,5083,4942,4799,4656,4510,4362,4221,4082,3948,3821,3699,3588,3479,3382,3283,3194,3100,3012,
2924,2836,2748,2658,2573,2489,2400,2318,2234,2146,2061,1975,1893,1810,1734,1657,1590,1525,1466,1407,
1354,1303,1252,1199,1146,1093,1041,982,928,874,821,763,711,656,595,542,486,429,380,323,
276,235,192,153,113,78,41,3,-38,-75,-123,-165,-213,-258,-306,-350,-399,-447,-498,-547,
-596,-645,-690,-736,-778,-819,-856,-891,-931,-967,-1000,-1039,-1083,-1125,-1173,-1219,-1268,-1321,-1373,-1425,
-1480,-1535,-1588,-1646,-1704,-1763,-1818,-1872,-1928,-1984,-2035,-2084,-2135,-2185,-2242,-2295,-2356,-2421,-2486,-2556,
-2632,-2705,-2785,-2863,-2943,-3027,-3108,-3195,-3281,-3371,-3459,-3547,-3636,-3724,-3809,-3897,-3986,-4069,-4168,-4259,
-4368,-4474,-4588,-4704,-4829,-4956,-5091,-5219,-5354,-5489,-5623,-5764,-5904,-6045,-6187,-6327,-6465,-6603,-6734,-6864,
-6993,-7123,-7258,-7392,-7530,-7672,-7823,-7969,-8115,-8261,-8406,-8539,-8665,-8785,-8894,-8989,-9073,-9147,-9209,-9253,
-9272,-9273,-9255,-9210,-9140,-9053,-8940,-8804,-8640,-8459,-8242,-7993,-7705,-7378,-7008,-6592,-6123,-5611,-5055,-4458,
-3818,-3146,-2444,-1718,-972,-208,555,1313,2065,2797,3502,4168,4806,5405,5966,6487,6971,7409,7803,8150,
8446,8701,8903,9063,9187,9266,9310,9325,9308,9269,9207,9122,9026,8916,8794,8673,8538,8414,8286,8159,
8028,7898,7759,7617,7465,7308,7145,6982,6811,6646,6474,6307,6137,5972,5811,5648,5486,5336,5183,5043,
4908,4774,4658,4541,4426,4318,4209,4097,3982,3863,3744,3626,3503,3389,3270,3156,3041,2932,2825,2723,
2621,2527,2428,2340,2255,2178,2102,2031,1963,1894,1826,1751,1681,1604,1524,1445,1364,1277,1203,1123,
1045,968,896,824,754,684,621,556,498,439,387,331,279,228,176,118,59,-4,-72,-143,
-212,-287,-357,-428,-493,-561,-632,-696,-755,-817,-878,-935,-994,-1049,-1103,-1157,-1211,-1264,-1319,-1377,
-1443,-1509,-1582,-1659,-1735,-1816,-1893,-1968,-2046,-2117,-2198,-2270,-2342,-2412,-2485,-2558,-2628,-2695,-2768,-2836,
-2905,-2973,-3053,-3130,-3215,-3304,-3400,-3498,-3603,-3702,-3808,-3910,-4012,-4114,-4213,-4309,-4407,-4503,-4598,-4697,
-4791,-4887,-4983,-5077,-5176,-5270,-5369,-5477,-5587,-5702,-5824,-5945,-6071,-6197,-6321,-6441,-6553,-6664,-6763,-6859,
-6946,-7030,-7106,-7180,-7246,-7303,-7357,-7402,-7441,-7472,-7497,-7516,-7530,-7530,-7527,-7509,-7478,-7431,-7358,-7263,
-7135,-6972,-6781,-6554,-6299,-6009,-5685,-5326,-4939,-4515,-4061,-3573,-3057,-2518,-1949,-1355,-745,-112,530,1182,
1833,2491,3135,3770,4384,4976,5540,6074,6570,7026,7445,7830,8168,8465,8731,8945,9127,9271,9386,9468,
9525,9561,9578,9573,9549,9504,9441,9357,9258,9137,9006,8861,8706,8540,8372,8203,8032,7857,7688,7516,
7348,7179,7012,6850,6688,6529,6377,6228,6080,5930,5779,5624,5471,5314,5152,4994,4836,4684,4532,4388,
4252,4118,3992,3873,3757,3643,3533,3425,3326,3228,3130,3039,2951,2863,2772,2681,2591,2499,2402,2307,
2216,2124,2036,1950,1873,1801,1729,1664,1600,1534,1475,1412,1353,1301,1246,1192,1138,1085,1028,969,
913,857,796,730,671,613,554,497,448,401,355,309,269,225,184,141,100,61,22,-21,
-63,-104,-146,-192,-240,-287,-338,-391,-441,-489,-540,-589,-633,-675,-714,-758,-791,-831,-870,-908,
-946,-987,-1026,-1069,-1111,-1155,-1199,-1248,-1298,-1352,-1406,-1464,-1520,-1576,-1634,-1687,-1738,-1790,-1841,-1890,
-1938,-1988,-2041,-2094,-2150,-2209,-2267,-2329,-2391,-2457,-2525,-2593,-2670,-2749,-2828,-2909,-2995,-3081,-3166,-3248,
-3332,-3416,-3498,-3574,-3656,-3742,-3825,-3916,-4006,-4105,-4207,-4308,-4413,-4524,-4637,-4754,-4876,-5005,-5132,-5266,
-5403,-5541,-5674,-5811,-5941,-6075,-6205,-6332,-6457,-6587,-6716,-6851,-6989,-7132,-7275,-7419,-7560,-7708,-7853,-8000,
-8144,-8290,-8430,-8568,-8695,-8817,-8931,-9027,-9107,-9174,-9223,-9253,-9269,-9269,-9255,-9224,-9178,-9109,-9025,-8912,
-8770,-8602,-8398,-8159,-7886,-7569,-7219,-6820,-6381,-5891,-5361,-4781,-4164,-3507,-2821,-2112,-1379,-634,112,862,
1608,2338,3047,3736,4395,5022,5606,6151,6657,7117,7527,7893,8212,8489,8717,8900,9039,9134,9192,9214,
9210,9183,9138,9072,9000,8916,8825,8727,8624,8513,8395,8266,8137,7999,7857,7710,7561,7405,7250,7084,
6917,6747,6576,6400,6230,6063,5905,5746,5599,5463,5330,5200,5076,4956,4834,4714,4591,4472,4353,4234,
4112,3991,3871,3753,3632,3510,3389,3269,3152,3040,2935,2832,2736,2649,2569,2488,2405,2327,2256,2179,
2101,2025,1945,1865,1788,1704,1624,1546,1461,1381,1301,1217,1135,1055,985,916,849,786,730,675,
620,562,508,451,390,326,264,200,135,67,-1,-71,-139,-211,-280,-352,-425,-494,-557,-620,
-678,-734,-787,-837,-891,-940,-995,-1055,-1111,-1174,-1240,-1307,-1377,-1448,-1520,-1593,-1667,-1743,-1820,-1895,
-1969,-2043,-2117,-2192,-2256,-2324,-2390,-2452,-2516,-2581,-2651,-2722,-2798,-2881,-2966,-3050,-3141,-3233,-3328,-3424,
-3520,-3618,-3717,-3810,-3912,-4007,-4104,-4202,-4292,-4381,-4468,-4554,-4643,-4733,-4825,-4921,-5026,-5130,-5244,-5361,
-5479,-5596,-5714,-5832,-5948,-6061,-6175,-6284,-6386,-6490,-6584,-6672,-6758,-6831,-6896,-6958,-7012,-7066,-7113,-7161,
-7204,-7246,-7282,-7310,-7326,-7333,-7323,-7295,-7250,-7184,-7089,-6977,-6831,-6664,-6460,-6233,-5977,-5680,-5353,-4992,
-4601,-4184,-3738,-3260,-2763,-2236,-1683,-1110,-512,102,730,1372,2013,2650,3283,3899,4496,5072,5614,6130,
6608,7048,7450,7812,8132,8419,8663,8878,9057,9208,9332,9425,9492,9535,9555,9545,9512,9461,9391,9300,
9194,9080,8952,8814,8667,8510,8348,8181,8013,7844,7679,7516,7357,7199,7048,6898,6748,6598,6445,6290,
6133,5969,5806,5648,5488,5324,5172,5019,4869,4721,4576,4434,4299,4165,4042,3924,3809,3702,3600,3500,
3404,3308,3208,3112,3016,2916,2815,2716,2619,2523,2427,2340,2249,2167,2076,1997,1919,1847,1774,1708,
1643,1582,1524,1465,1413,1357,1299,1241,1178,1119,1051,989,924,863,800,744,685,629,576,523,
471,423,377,328,288,245,203,163,122,82,38,-9,-55,-106,-157,-213,-262,-313,-365,-415,
-461,-508,-554,-601,-645,-689,-729,-775,-811,-851,-892,-925,-971,-1012,-1052,-1102,-1150,-1201,-1253,-1308,
-1367,-1423,-1477,-1533,-1587,-1641,-1690,-1745,-1801,-1854,-1902,-1958,-2011,-2062,-2112,-2168,-2225,-2284,-2345,-2411,
-2481,-2551,-2630,-2709,-2790,-2873,-2950,-3033,-3112,-3191,-3272,-3350,-3435,-3514,-3597,-3682,-3769,-3853,-3943,-4034,
-4128,-4226,-4331,-4438,-4553,-4668,-4794,-4917,-5051,-5184,-5309,-5438,-5570,-5697,-5824,-5952,-6079,-6208,-6339,-6465,
-6597,-6732,-6861,-6994,-7130,-7269,-7405,-7549,-7692,-7842,-7991,-8137,-8275,-8413,-8541,-8658,-8764,-8860,-8937,-9008,
-9063,-9107,-9140,-9158,-9159,-9145,-9110,-9059,-8982,-8888,-8771,-8628,-8457,-8264,-8029,-7761,-7453,-7099,-6704,-6262,
-5773,-5249,-4675,-4072,-3439,-2772,-2088,-1383,-665,61,787,1510,2219,2913,3581,4218,4827,5399,5933,6427,
6882,7289,7650,7963,8230,8451,8625,8764,8859,8924,8954,8961,8953,8921,8871,8811,8734,8650,8555,8455,
8350,8239,8119,8001,7874,7741,7600,7448,7289,7127,6957,6787,6622,6457,6294,6134,5979,5830,5688,5544,
5413,5279,5152,5024,4898,4781,4666,4547,4432,4315,4195,4072,3945,3819,3694,3567,3446,3328,3212,3104,
2998,2896,2804,2712,2624,2540,2454,2373,2291,2212,2140,2064,1986,1910,1828,1747,1661,1574,1488,1404,
1317,1235,1158,1082,1011,942,876,814,749,693,631,571,513,451,392,336,269,208,139,71,
-1,-77,-148,-226,-298,-373,-442,-510,-574,-634,-694,-749,-806,-862,-915,-977,-1030,-1091,-1153,-1213,
-1275,-1342,-1408,-1481,-1551,-1629,-1706,-1788,-1864,-1944,-2018,-2088,-2160,-2230,-2295,-2363,-2427,-2496,-2563,-2634,
-2706,-2782,-2860,-2938,-3021,-3108,-3193,-3283,-3376,-3473,-3575,-3676,-3774,-3876,-3976,-4067,-4159,-4247,-4337,-4424,
-4510,-4600,-4690,-4781,-4878,-4973,-5079,-5183,-5290,-5395,-5510,-5621,-5739,-5855,-5976,-6090,-6207,-6314,-6423,-6518,
-6606,-6691,-6768,-6838,-6902,-6962,-7024,-7080,-7133,-7183,-7226,-7265,-7294,-7316,-7329,-7331,-7315,-7293,-7246,-7185,
-7096,-6983,-6844,-6677,-6474,-6241,-5976,-5681,-5355,-4998,-4615,-4204,-3759,-3289,-2791,-2273,-1721,-1147,-549,60,
693,1332,1975,2612,3246,3864,4464,5036,5581,6096,6576,7018,7421,7787,8116,8403,8662,8882,9068,9223,
9345,9439,9506,9545,9562,9558,9531,9484,9419,9337,9238,9124,8994,8855,8699,8542,8378,8211,8049,7890,
7729,7570,7412,7257,7100,6944,6791,6635,6475,6318,6163,6008,5849,5689,5532,5375,5213,5058,4903,4752,
4605,4463,4327,4201,4078,3962,3855,3745,3642,3534,3434,3336,3237,3135,3038,2941,2843,2746,2651,2555,
2459,2367,2276,2188,2105,2023,1942,1871,1806,1737,1681,1620,1563,1505,1442,1384,1326,1266,1208,1148,
1086,1024,962,902,842,782,727,667,613,564,510,465,419,377,334,294,257,214,171,126,
79,32,-14,-62,-110,-160,-212,-263,-311,-360,-412,-458,-507,-552,-595,-640,-679,-715,-755,-793,
-830,-871,-914,-959,-1001,-1048,-1100,-1152,-1199,-1252,-1306,-1361,-1413,-1468,-1522,-1578,-1629,-1684,-1737,-1788,
-1843,-1887,-1941,-1992,-2045,-2101,-2157,-2217,-2284,-2350,-2417,-2492,-2562,-2638,-2712,-2793,-2871,-2950,-3030,-3110,
-3195,-3272,-3354,-3434,-3518,-3597,-3679,-3762,-3849,-3938,-4034,-4135,-4240,-4349,-4459,-4579,-4700,-4822,-4945,-5070,
-5201,-5328,-5459,-5587,-5718,-5848,-5977,-6104,-6235,-6360,-6489,-6621,-6754,-6886,-7025,-7167,-7313,-7465,-7614,-7763,
-7913,-8058,-8198,-8333,-8462,-8585,-8697,-8802,-8895,-8974,-9046,-9102,-9142,-9167,-9177,-9169,-9141,-9105,-9044,-8969,
-8872,-8753,-8602,-8422,-8205,-7951,-7656,-7321,-6938,-6517,-6049,-5539,-4986,-4401,-3776,-3116,-2433,-1725,-1004,-268,
473,1205,1935,2652,3343,4011,4647,5251,5817,6336,6816,7252,7636,7974,8264,8507,8708,8861,8981,9065,
9114,9135,9126,9102,9056,8993,8922,8844,8758,8661,8557,8448,8330,8207,8069,7927,7777,7622,7460,7296,
7129,6965,6792,6628,6462,6301,6137,5981,5827,5686,5542,5409,5279,5156,5036,4909,4789,4668,4545,4421,
4293,4163,4037,3907,3783,3657,3536,3417,3305,3192,3086,2976,2879,2782,2691,2600,2520,2441,2362,2285,
2208,2130,2049,1963,1882,1796,1711,1625,1539,1454,1374,1293,1215,1140,1069,997,926,863,804,739,
683,625,569,512,454,394,330,265,196,127,56,-14,-89,-162,-228,-299,-365,-425,-490,-551,
-615,-675,-731,-784,-842,-894,-949,-1003,-1058,-1120,-1182,-1248,-1320,-1390,-1462,-1537,-1612,-1689,-1761,-1833,
-1906,-1975,-2046,-2114,-2181,-2252,-2316,-2385,-2450,-2518,-2584,-2654,-2728,-2808,-2887,-2970,-3059,-3153,-3246,-3341,
-3438,-3537,-3631,-3727,-3818,-3907,-3998,-4088,-4179,-4270,-4362,-4451,-4540,-4636,-4726,-4823,-4924,-5027,-5135,-5247,
-5362,-5482,-5604,-5726,-5845,-5964,-6083,-6193,-6300,-6400,-6501,-6594,-6683,-6768,-6855,-6933,-7006,-7078,-7148,-7213,
-7275,-7329,-7384,-7439,-7478,-7515,-7544,-7558,-7554,-7529,-7488,-7422,-7331,-7216,-7073,-6905,-6711,-6487,-6237,-5957,
-5647,-5307,-4938,-4536,-4106,-3645,-3153,-2637,-2086,-1506,-905,-284,361,1016,1684,2341,2995,3636,4255,4849,
5412,5947,6450,6910,7340,7724,8076,8385,8656,8891,9094,9260,9398,9508,9591,9638,9666,9661,9637,9585,
9510,9420,9314,9189,9057,8916,8770,8617,8461,8302,8144,7981,7820,7657,7497,7340,7180,7021,6866,6705,
6543,6384,6217,6048,5878,5709,5541,5375,5212,5060,4906,4761,4619,4482,4353,4231,4105,3989,3874,3764,
3651,3548,3443,3340,3237,3132,3033,2927,2824,2720,2621,2522,2424,2333,2250,2167,2088,2010,1941,1871,
1805,1742,1678,1616,1553,1492,1433,1376,1314,1252,1194,1129,1064,1002,938,877,819,761,709,658,
609,563,517,474,434,389,347,305,260,219,176,130,85,39,-8,-57,-105,-160,-209,-262,
-308,-352,-401,-440,-482,-521,-560,-597,-638,-673,-716,-752,-793,-832,-880,-925,-967,-1015,-1064,-1112,
-1164,-1215,-1266,-1320,-1372,-1422,-1475,-1522,-1571,-1615,-1663,-1713,-1762,-1812,-1865,-1918,-1971,-2031,-2090,-2153,
-2214,-2281,-2349,-2423,-2495,-2567,-2643,-2724,-2801,-2873,-2952,-3028,-3101,-3176,-3249,-3328,-3408,-3489,-3575,-3660,
-3751,-3850,-3945,-4052,-4156,-4265,-4376,-4494,-4611,-4732,-4856,-4985,-5111,-5234,-5357,-5482,-5607,-5728,-5850,-5976,
-6104,-6234,-6367,-6505,-6646,-6790,-6938,-7084,-7238,-7387,-7537,-7690,-7843,-7989,-8135,-8276,-8412,-8537,-8647,-8753,
-8849,-8928,-9004,-9063,-9116,-9158,-9185,-9205,-9210,-9197,-9167,-9116,-9044,-8944,-8817,-8655,-8470,-8240,-7980,-7670,
-7325,-6937,-6499,-6019,-5500,-4935,-4336,-3706,-3044,-2360,-1654,-928,-191,549,1294,2032,2754,3451,4127,4771,
5374,5930,6455,6925,7354,7728,8057,8338,8572,8757,8911,9020,9102,9149,9175,9178,9168,9135,9089,9030,
8955,8871,8770,8659,8544,8411,8279,8135,7985,7828,7662,7499,7332,7159,6991,6824,6661,6502,6351,6205,
6066,5928,5791,5662,5532,5400,5272,5142,5011,4883,4748,4620,4488,4359,4228,4094,3968,3841,3715,3596,
3485,3374,3268,3172,3080,2992,2902,2816,2736,2649,2567,2480,2393,2308,2220,2127,2044,1958,1869,1779,
1693,1610,1525,1444,1370,1296,1227,1156,1095,1034,971,909,854,792,729,662,597,530,459,390,
320,247,178,104,31,-41,-107,-179,-242,-306,-370,-425,-486,-542,-594,-650,-709,-763,-822,-887,
-948,-1019,-1083,-1154,-1224,-1295,-1368,-1442,-1519,-1589,-1663,-1733,-1805,-1871,-1938,-2001,-2066,-2131,-2195,-2260,
-2328,-2400,-2471,-2550,-2628,-2715,-2799,-2886,-2975,-3067,-3159,-3248,-3343,-3433,-3529,-3616,-3707,-3794,-3883,-3967,
-4050,-4138,-4225,-4311,-4404,-4497,-4596,-4701,-4805,-4918,-5033,-5148,-5263,-5381,-5495,-5613,-5724,-5835,-5948,-6052,
-6154,-6252,-6345,-6436,-6521,-6601,-6682,-6761,-6838,-6915,-6988,-7064,-7138,-7202,-7270,-7325,-7374,-7409,-7430,-7435,
-7428,-7400,-7357,-7292,-7203,-7097,-6959,-6797,-6614,-6401,-6165,-5905,-5614,-5300,-4957,-4583,-4181,-3747,-3283,-2786,
-2256,-1696,-1109,-499,135,776,1424,2073,2720,3349,3959,4550,5112,5645,6145,6610,7043,7440,7799,8126,
8422,8679,8903,9088,9246,9367,9458,9517,9550,9554,9535,9492,9426,9349,9252,9140,9024,8890,8752,8609,
8461,8314,8163,8012,7865,7716,7565,7407,7250,7091,6927,6761,6589,6423,6252,6078,5910,5743,5577,5414,
5257,5108,4955,4810,4668,4533,4410,4283,4166,4050,3935,3825,3707,3596,3484,3371,3259,3151,3036,2928,
2821,2720,2619,2527,2430,2342,2254,2174,2093,2019,1946,1878,1806,1745,1679,1615,1549,1480,1415,1348,
1278,1210,1147,1084,1013,948,887,830,768,715,662,613,564,514,469,425,380,335,295,250,
205,158,107,58,9,-46,-98,-151,-200,-252,-302,-348,-393,-442,-485,-526,-569,-610,-649,-689,
-730,-770,-808,-849,-892,-936,-985,-1031,-1081,-1136,-1183,-1237,-1286,-1338,-1386,-1436,-1484,-1530,-1579,-1625,
-1672,-1718,-1770,-1820,-1867,-1920,-1972,-2023,-2081,-2145,-2209,-2272,-2342,-2410,-2484,-2557,-2629,-2702,-2775,-2850,
-2922,-2993,-3065,-3140,-3211,-3290,-3362,-3446,-3524,-3605,-3691,-3779,-3871,-3971,-4071,-4177,-4285,-4398,-4513,-4632,
-4746,-4861,-4980,-5101,-5217,-5331,-5450,-5569,-5687,-5811,-5930,-6059,-6187,-6312,-6449,-6585,-6725,-6866,-7014,-7164,
-7315,-7466,-7616,-7766,-7906,-8042,-8174,-8298,-8414,-8522,-8622,-8718,-8801,-8877,-8943,-9001,-9050,-9086,-9109,-9120,
-9117,-9093,-9057,-9000,-8919,-8812,-8675,-8506,-8303,-8062,-7783,-7463,-7101,-6705,-6263,-5789,-5275,-4724,-4142,-3529,
-2886,-2223,-1536,-832,-121,598,1315,2027,2722,3396,4044,4662,5236,5774,6267,6713,7116,7469,7777,8047,
8272,8457,8609,8726,8811,8875,8910,8925,8917,8891,8854,8801,8731,8654,8555,8448,8333,8202,8067,7918,
7769,7609,7448,7285,7125,6966,6811,6661,6515,6365,6222,6084,5950,5814,5685,5555,5427,5297,5168,5040,
4909,4774,4638,4503,4370,4235,4101,3973,3852,3731,3616,3507,3403,3303,3205,3109,3020,2930,2837,2754,
2668,2584,2494,2405,2318,2228,2137,2044,1954,1864,1776,1684,1604,1523,1446,1373,1304,1233,1170,1106,
1043,980,917,856,794,729,663,596,526,458,383,310,238,162,87,15,-55,-123,-186,-250,
-310,-372,-427,-489,-548,-603,-661,-723,-779,-841,-904,-969,-1037,-1109,-1178,-1253,-1328,-1400,-1473,-1549,
-1621,-1690,-1759,-1825,-1889,-1951,-2014,-2079,-2146,-2213,-2280,-2354,-2423,-2497,-2574,-2657,-2743,-2829,-2915,-3007,
-3103,-3195,-3289,-3376,-3468,-3559,-3649,-3735,-3816,-3896,-3984,-4070,-4158,-4243,-4339,-4433,-4531,-4630,-4733,-4839,
-4952,-5064,-5177,-5289,-5407,-5519,-5631,-5744,-5853,-5955,-6051,-6145,-6236,-6325,-6405,-6489,-6569,-6651,-6731,-6809,
-6889,-6957,-7032,-7099,-7161,-7218,-7265,-7303,-7329,-7342,-7340,-7317,-7278,-7219,-7138,-7033,-6903,-6753,-6578,-6379,
-6156,-5916,-5644,-5347,-5021,-4667,-4283,-3865,-3417,-2938,-2428,-1890,-1320,-729,-114,513,1152,1794,2427,3056,
3669,4263,4827,5366,5876,6355,6796,7215,7590,7937,8239,8518,8755,8964,9134,9273,9381,9458,9511,9537,
9533,9507,9458,9392,9301,9204,9089,8971,8844,8711,8573,8437,8297,8153,8006,7861,7708,7555,7397,7239,
7079,6917,6752,6584,6420,6249,6078,5908,5743,5577,5420,5264,5117,4973,4837,4703,4578,4452,4331,4214,
4099,3982,3868,3752,3637,3526,3416,3304,3196,3087,2980,2876,2773,2676,2584,2489,2403,2322,2242,2168,
2094,2021,1956,1888,1822,1752,1685,1622,1550,1481,1414,1345,1279,1211,1146,1079,1017,955,894,840,
783,732,684,640,593,550,502,461,413,370,321,279,226,180,126,79,24,-24,-76,-125,
-176,-227,-274,-318,-362,-408,-445,-487,-526,-569,-609,-647,-692,-739,-779,-826,-872,-921,-975,-1023,
-1075,-1126,-1179,-1230,-1282,-1334,-1386,-1434,-1483,-1535,-1578,-1628,-1674,-1723,-1777,-1827,-1877,-1939,-1998,-2058,
-2122,-2188,-2258,-2327,-2397,-2470,-2542,-2613,-2691,-2763,-2840,-2914,-2984,-3059,-3136,-3207,-3284,-3363,-3444,-3525,
-3617,-3705,-3803,-3902,-4005,-4109,-4222,-4332,-4447,-4559,-4679,-4794,-4914,-5030,-5149,-5271,-5389,-5507,-5631,-5748,
-5871,-5994,-6123,-6255,-6388,-6525,-6667,-6812,-6957,-7109,-7255,-7408,-7553,-7695,-7835,-7971,-8098,-8222,-8339,-8446,
-8548,-8639,-8718,-8794,-8854,-8907,-8948,-8984,-9005,-9013,-9007,-8987,-8942,-8881,-8790,-8678,-8535,-8355,-8142,-7896,
-7608,-7286,-6919,-6516,-6074,-5595,-5074,-4524,-3936,-3318,-2679,-2014,-1335,-633,74,783,1494,2195,2881,3542,
4174,4773,5334,5858,6333,6772,7161,7505,7807,8062,8280,8459,8598,8712,8794,8850,8881,8888,8884,8861,
8822,8771,8703,8621,8525,8414,8294,8165,8026,7885,7735,7579,7423,7264,7105,6949,6794,6639,6491,6348,
6207,6069,5933,5806,5675,5549,5417,5288,5160,5028,4894,4759,4625,4490,4358,4228,4099,3970,3846,3729,
3614,3501,3394,3296,3192,3097,3005,2914,2830,2741,2658,2570,2481,2389,2299,2205,2116,2022,1931,1842,
1758,1668,1582,1503,1431,1350,1281,1213,1144,1082,1015,952,895,831,767,704,634,568,494,420,
348,276,202,127,55,-14,-86,-154,-219,-281,-346,-406,-467,-522,-583,-641,-702,-756,-820,-877,
-944,-1010,-1081,-1152,-1222,-1296,-1368,-1441,-1510,-1585,-1652,-1724,-1792,-1857,-1923,-1990,-2052,-2117,-2180,-2250,
-2316,-2385,-2455,-2531,-2608,-2690,-2773,-2861,-2952,-3041,-3133,-3224,-3315,-3403,-3493,-3578,-3667,-3757,-3836,-3925,
-4012,-4099,-4186,-4274,-4366,-4460,-4556,-4658,-4762,-4868,-4981,-5095,-5211,-5325,-5448,-5561,-5675,-5781,-5890,-5994,
-6094,-6193,-6290,-6377,-6472,-6558,-6644,-6731,-6818,-6901,-6979,-7060,-7143,-7217,-7289,-7355,-7419,-7468,-7507,-7529,
-7543,-7537,-7510,-7465,-7401,-7320,-7213,-7084,-6935,-6761,-6564,-6344,-6094,-5818,-5512,-5177,-4809,-4413,-3982,-3516,
-3021,-2490,-1926,-1333,-713,-75,583,1248,1916,2575,3221,3854,4464,5043,5600,6123,6615,7072,7490,7875,
8225,8536,8809,9050,9254,9424,9557,9659,9730,9765,9776,9759,9720,9661,9580,9485,9379,9264,9134,9006,
8868,8724,8577,8429,8279,8127,7969,7816,7655,7494,7326,7159,6989,6817,6642,6467,6291,6118,5947,5779,
5618,5462,5309,5160,5019,4883,4746,4617,4489,4369,4248,4127,4012,3895,3778,3662,3546,3432,3320,3202,
3094,2990,2884,2783,2686,2598,2507,2425,2342,2265,2191,2118,2045,1976,1908,1837,1774,1705,1638,1568,
1500,1428,1363,1292,1228,1162,1099,1035,977,919,869,818,767,722,672,628,581,535,492,445,
396,351,303,253,201,150,98,48,-4,-52,-102,-151,-197,-244,-286,-327,-370,-410,-450,-488,
-530,-573,-610,-651,-700,-743,-788,-833,-882,-932,-985,-1031,-1084,-1133,-1183,-1230,-1281,-1329,-1376,-1418,
-1467,-1515,-1560,-1608,-1657,-1708,-1761,-1813,-1871,-1933,-1994,-2056,-2122,-2190,-2259,-2327,-2397,-2470,-2539,-2607,
-2680,-2748,-2819,-2888,-2960,-3031,-3104,-3178,-3257,-3339,-3424,-3513,-3603,-3698,-3795,-3896,-3996,-4105,-4217,-4328,
-4439,-4553,-4667,-4780,-4895,-5009,-5127,-5239,-5355,-5474,-5596,-5716,-5844,-5976,-6111,-6252,-6389,-6534,-6680,-6828,
-6979,-7129,-7281,-7431,-7577,-7722,-7864,-7997,-8125,-8249,-8362,-8471,-8573,-8666,-8756,-8835,-8906,-8977,-9032,-9079,
-9117,-9135,-9139,-9127,-9094,-9036,-8952,-8847,-8706,-8531,-8326,-8082,-7801,-7479,-7118,-6723,-6286,-5810,-5296,-4750,
-4164,-3550,-2905,-2238,-1545,-835,-108,617,1350,2072,2780,3463,4122,4743,5325,5863,6359,6809,7213,7570,
7880,8156,8385,8578,8736,8864,8960,9029,9072,9091,9092,9070,9027,8972,8896,8807,8705,8588,8465,8329,
8181,8036,7878,7721,7558,7397,7242,7090,6936,6791,6647,6507,6367,6229,6094,5961,5822,5688,5553,5412,
5274,5136,4995,4857,4718,4579,4445,4313,4183,4055,3937,3823,3713,3606,3505,3406,3311,3218,3123,3032,
2940,2847,2757,2663,2570,2473,2380,2288,2193,2103,2015,1924,1840,1755,1673,1596,1527,1455,1387,1323,
1258,1195,1130,1064,998,930,864,793,725,652,578,502,430,359,287,216,144,77,9,-56,
-114,-175,-236,-292,-349,-403,-464,-524,-584,-649,-715,-780,-850,-913,-989,-1062,-1129,-1201,-1275,-1340,
-1413,-1479,-1546,-1613,-1678,-1739,-1803,-1866,-1929,-1994,-2064,-2131,-2203,-2277,-2358,-2437,-2517,-2600,-2687,-2775,
-2862,-2951,-3038,-3128,-3213,-3300,-3388,-3475,-3558,-3639,-3722,-3811,-3893,-3982,-4070,-4167,-4263,-4361,-4467,-4577,
-4688,-4797,-4910,-5027,-5143,-5259,-5367,-5486,-5592,-5702,-5811,-5912,-6016,-6116,-6213,-6310,-6403,-6500,-6594,-6692,
-6786,-6888,-6984,-7081,-7176,-7261,-7346,-7422,-7489,-7546,-7594,-7626,-7644,-7648,-7635,-7606,-7562,-7498,-7415,-7311,
-7192,-7044,-6885,-6698,-6492,-6256,-5995,-5701,-5374,-5013,-4616,-4182,-3712,-3209,-2667,-2095,-1495,-869,-224,430,
1101,1761,2425,3074,3705,4312,4899,5456,5983,6477,6943,7375,7770,8129,8454,8734,8979,9181,9346,9481,
9579,9644,9680,9689,9675,9632,9575,9499,9411,9311,9199,9080,8959,8829,8693,8553,8412,8261,8107,7949,
7788,7615,7445,7268,7091,6916,6736,6562,6386,6212,6038,5876,5714,5558,5407,5260,5119,4980,4849,4714,
4588,4459,4332,4205,4081,3955,3827,3704,3582,3463,3343,3231,3117,3012,2907,2808,2709,2619,2534,2446,
2366,2289,2211,2134,2060,1990,1912,1840,1769,1692,1619,1541,1472,1394,1322,1253,1187,1124,1060,1003,
946,890,838,786,737,689,640,589,543,495,448,395,346,289,239,187,130,81,29,-26,
-75,-124,-172,-214,-263,-309,-348,-394,-434,-471,-514,-551,-598,-641,-684,-730,-776,-824,-870,-919,
-969,-1022,-1069,-1119,-1164,-1211,-1255,-1302,-1350,-1395,-1437,-1481,-1527,-1573,-1619,-1663,-1717,-1767,-1820,-1876,
-1933,-1993,-2053,-2115,-2178,-2246,-2310,-2376,-2441,-2505,-2571,-2636,-2702,-2769,-2835,-2899,-2969,-3042,-3114,-3187,
-3265,-3346,-3433,-3518,-3609,-3708,-3799,-3901,-4003,-4106,-4211,-4316,-4419,-4526,-4631,-4736,-4845,-4954,-5065,-5174,
-5285,-5406,-5523,-5645,-5773,-5902,-6040,-6175,-6314,-6459,-6605,-6751,-6898,-7046,-7192,-7335,-7471,-7608,-7739,-7867,
-7988,-8107,-8219,-8331,-8435,-8533,-8627,-8714,-8799,-8872,-8940,-8996,-9044,-9073,-9093,-9091,-9069,-9023,-8957,-8860,
-8739,-8582,-8395,-8175,-7921,-7635,-7309,-6953,-6558,-6124,-5660,-5155,-4615,-4043,-3440,-2808,-2147,-1465,-766,-58,
661,1377,2081,2766,3429,4060,4660,5216,5737,6212,6645,7036,7385,7696,7966,8197,8401,8560,8693,8795,
8867,8920,8942,8940,8917,8875,8814,8735,8636,8529,8406,8277,8141,8001,7857,7712,7564,7419,7277,7132,
6991,6852,6713,6578,6444,6309,6176,6036,5901,5763,5620,5479,5334,5189,5047,4905,4763,4631,4497,4373,
4247,4128,4015,3904,3798,3695,3596,3497,3400,3303,3207,3114,3015,2920,2821,2725,2627,2528,2428,2336,
2240,2150,2063,1977,1896,1814,1739,1669,1596,1528,1460,1393,1328,1258,1191,1123,1055,981,913,837,
766,686,611,540,464,390,325,257,191,126,64,5,-54,-114,-171,-231,-288,-349,-414,-474,
-537,-607,-673,-742,-812,-884,-958,-1029,-1101,-1170,-1237,-1307,-1372,-1435,-1502,-1565,-1623,-1688,-1752,-1816,
-1886,-1952,-2024,-2099,-2172,-2248,-2332,-2411,-2498,-2580,-2669,-2759,-2836,-2927,-3011,-3093,-3175,-3255,-3338,-3418,
-3499,-3578,-3662,-3746,-3835,-3925,-4021,-4119,-4219,-4322,-4429,-4537,-4645,-4757,-4867,-4980,-5092,-5201,-5308,-5416,
-5514,-5616,-5714,-5811,-5909,-6006,-6104,-6201,-6295,-6392,-6489,-6589,-6687,-6784,-6879,-6973,-7059,-7137,-7215,-7281,
-7339,-7386,-7415,-7434,-7439,-7426,-7400,-7360,-7304,-7233,-7140,-7037,-6918,-6769,-6604,-6418,-6206,-5965,-5693,-5392,
-5059,-4686,-4284,-3841,-3366,-2854,-2311,-1740,-1144,-526,107,753,1395,2037,2676,3299,3901,4488,5047,5584,
6089,6568,7017,7430,7807,8150,8455,8721,8952,9143,9297,9420,9506,9561,9595,9598,9578,9541,9488,9421,
9341,9247,9147,9040,8923,8797,8666,8530,8387,8238,8085,7927,7764,7593,7423,7252,7077,6901,6729,6557,
6387,6224,6062,5907,5755,5605,5463,5321,5186,5052,4916,4785,4655,4521,4392,4262,4136,4006,3877,3754,
3634,3514,3393,3281,3175,3069,2968,2875,2786,2699,2611,2531,2451,2372,2294,2215,2140,2064,1982,1909,
1830,1755,1677,1601,1530,1462,1388,1319,1257,1194,1131,1076,1019,966,914,862,814,761,715,661,
611,559,504,449,397,343,287,233,178,126,75,24,-23,-71,-115,-164,-209,-250,-291,-338,
-378,-420,-462,-508,-554,-600,-652,-700,-747,-797,-850,-898,-952,-1002,-1048,-1103,-1152,-1196,-1241,-1293,
-1339,-1386,-1428,-1479,-1525,-1576,-1625,-1680,-1734,-1791,-1853,-1915,-1977,-2039,-2105,-2171,-2242,-2306,-2373,-2439,
-2509,-2572,-2640,-2706,-2773,-2843,-2910,-2981,-3056,-3129,-3209,-3294,-3379,-3469,-3560,-3651,-3755,-3849,-3953,-4055,
-4160,-4266,-4369,-4476,-4580,-4688,-4793,-4900,-5008,-5120,-5230,-5345,-5462,-5584,-5707,-5836,-5965,-6102,-6240,-6380,
-6518,-6664,-6804,-6945,-7082,-7221,-7359,-7485,-7613,-7737,-7852,-7964,-8073,-8178,-8276,-8371,-8460,-8546,-8625,-8698,
-8760,-8813,-8858,-8887,-8905,-8899,-8878,-8836,-8764,-8673,-8551,-8406,-8223,-8018,-7779,-7500,-7193,-6849,-6477,-6065,
-5620,-5142,-4631,-4088,-3516,-2911,-2286,-1638,-971,-293,393,1079,1757,2424,3064,3683,4269,4819,5329,5804,
6238,6634,6991,7308,7590,7833,8044,8226,8377,8496,8589,8652,8694,8712,8703,8677,8631,8565,8482,8389,
8282,8170,8044,7914,7782,7648,7513,7372,7234,7101,6968,6834,6705,6575,6445,6316,6185,6050,5914,5777,
5638,5500,5354,5214,5073,4934,4797,4662,4529,4401,4280,4159,4039,3930,3824,3716,3617,3520,3420,3322,
3228,3127,3031,2932,2832,2737,2631,2535,2435,2338,2242,2153,2062,1977,1894,1812,1732,1659,1586,1519,
1448,1382,1310,1245,1176,1103,1032,959,887,812,735,658,581,508,433,362,288,220,151,84,
21,-42,-105,-162,-223,-284,-342,-405,-468,-534,-602,-667,-737,-810,-882,-953,-1025,-1098,-1169,-1240,
-1309,-1379,-1443,-1508,-1574,-1639,-1703,-1765,-1830,-1894,-1961,-2027,-2102,-2173,-2250,-2330,-2409,-2494,-2580,-2664,
-2749,-2832,-2925,-3008,-3092,-3177,-3261,-3339,-3421,-3503,-3588,-3671,-3753,-3840,-3933,-4016,-4113,-4209,-4311,-4414,
-4524,-4629,-4740,-4851,-4959,-5074,-5185,-5292,-5398,-5500,-5607,-5706,-5803,-5901,-5998,-6097,-6191,-6283,-6384,-6478,
-6576,-6671,-6770,-6867,-6965,-7054,-7141,-7224,-7296,-7363,-7416,-7455,-7487,-7499,-7501,-7490,-7459,-7415,-7356,-7279,
-7185,-7072,-6937,-6789,-6611,-6412,-6183,-5933,-5649,-5332,-4983,-4597,-4171,-3709,-3213,-2681,-2122,-1532,-916,-285,
361,1017,1673,2327,2967,3593,4201,4786,5345,5882,6384,6859,7296,7698,8068,8403,8688,8946,9158,9335,
9477,9584,9657,9704,9720,9715,9681,9636,9572,9494,9406,9306,9196,9081,8957,8831,8694,8550,8405,8252,
8091,7927,7760,7591,7413,7237,7061,6883,6706,6536,6366,6201,6039,5879,5725,5579,5433,5287,5151,5013,
4882,4745,4615,4483,4355,4223,4095,3967,3841,3714,3591,3476,3364,3246,3144,3036,2941,2845,2752,2664,
2580,2495,2414,2335,2259,2183,2104,2026,1952,1875,1798,1724,1648,1574,1498,1424,1355,1288,1224,1162,
1105,1047,991,937,885,835,783,735,684,630,579,527,474,419,363,312,256,203,150,94,
46,-7,-56,-98,-144,-188,-232,-275,-318,-359,-402,-443,-485,-529,-575,-623,-671,-717,-768,-817,
-865,-915,-965,-1015,-1063,-1111,-1159,-1203,-1247,-1294,-1335,-1383,-1430,-1475,-1523,-1573,-1623,-1673,-1731,-1783,
-1844,-1903,-1961,-2028,-2091,-2156,-2221,-2285,-2353,-2419,-2482,-2548,-2614,-2678,-2743,-2809,-2878,-2947,-3019,-3094,
-3174,-3251,-3335,-3420,-3511,-3605,-3697,-3794,-3897,-3994,-4097,-4198,-4304,-4406,-4508,-4614,-4719,-4824,-4932,-5038,
-5149,-5263,-5380,-5498,-5627,-5749,-5881,-6016,-6154,-6295,-6434,-6574,-6721,-6862,-7003,-7143,-7278,-7410,-7544,-7668,
-7787,-7903,-8016,-8125,-8230,-8332,-8426,-8519,-8606,-8684,-8755,-8815,-8870,-8909,-8933,-8940,-8932,-8898,-8842,-8759,
-8658,-8525,-8360,-8168,-7939,-7680,-7387,-7063,-6702,-6307,-5881,-5416,-4914,-4385,-3814,-3217,-2591,-1942,-1273,-589,
107,801,1497,2184,2846,3488,4096,4673,5209,5708,6167,6588,6968,7307,7609,7877,8111,8308,8467,8604,
8708,8784,8835,8854,8854,8835,8791,8734,8657,8564,8458,8342,8221,8091,7954,7821,7683,7542,7406,7267,
7130,6997,6864,6730,6595,6463,6326,6189,6048,5909,5771,5628,5485,5339,5199,5056,4915,4780,4646,4515,
4390,4270,4157,4040,3930,3828,3727,3623,3526,3422,3328,3227,3128,3031,2930,2830,2732,2631,2533,2438,
2339,2250,2162,2071,1989,1909,1834,1761,1685,1617,1551,1481,1411,1344,1276,1208,1134,1062,989,916,
844,768,693,623,548,476,405,340,270,209,146,88,29,-34,-87,-149,-212,-268,-331,-396,
-465,-533,-600,-666,-737,-808,-879,-945,-1016,-1087,-1155,-1220,-1284,-1354,-1414,-1478,-1538,-1604,-1664,-1730,
-1794,-1861,-1930,-2003,-2077,-2158,-2237,-2318,-2399,-2483,-2565,-2652,-2736,-2820,-2905,-2986,-3066,-3148,-3230,-3310,
-3389,-3472,-3558,-3642,-3730,-3821,-3914,-4013,-4114,-4216,-4324,-4432,-4542,-4651,-4765,-4875,-4987,-5097,-5208,-5316,
-5420,-5527,-5631,-5730,-5833,-5935,-6036,-6140,-6245,-6353,-6460,-6567,-6678,-6787,-6895,-7003,-7101,-7198,-7289,-7372,
-7446,-7514,-7569,-7617,-7652,-7668,-7678,-7670,-7650,-7613,-7567,-7508,-7426,-7327,-7214,-7075,-6914,-6726,-6512,-6265,
-5987,-5669,-5317,-4925,-4491,-4025,-3521,-2981,-2409,-1807,-1180,-533,132,800,1479,2154,2818,3470,4107,4716,
5307,5869,6400,6900,7361,7791,8180,8525,8834,9098,9322,9506,9651,9760,9841,9887,9904,9905,9874,9827,
9768,9691,9606,9505,9395,9279,9150,9014,8870,8721,8565,8398,8228,8056,7878,7699,7517,7333,7153,6975,
6798,6621,6452,6286,6122,5964,5811,5663,5513,5368,5229,5085,4945,4804,4663,4528,4389,4255,4119,3988,
3859,3733,3613,3495,3382,3267,3168,3066,2970,2875,2786,2699,2619,2530,2450,2369,2288,2208,2127,2045,
1965,1884,1809,1730,1657,1582,1507,1439,1375,1307,1249,1191,1136,1077,1020,970,920,864,814,764,
709,657,599,547,491,439,383,328,274,222,168,117,69,23,-24,-65,-110,-152,-196,-239,
-282,-323,-368,-411,-458,-503,-552,-604,-652,-700,-754,-801,-852,-899,-951,-995,-1042,-1089,-1137,-1178,
-1224,-1264,-1311,-1359,-1404,-1450,-1499,-1552,-1603,-1656,-1712,-1771,-1831,-1889,-1950,-2016,-2075,-2138,-2198,-2264,
-2325,-2385,-2447,-2514,-2575,-2640,-2701,-2773,-2842,-2910,-2985,-3061,-3142,-3224,-3307,-3399,-3487,-3578,-3674,-3772,
-3865,-3961,-4059,-4159,-4261,-4360,-4461,-4562,-4665,-4768,-4877,-4988,-5100,-5211,-5332,-5456,-5581,-5713,-5850,-5984,
-6122,-6264,-6402,-6545,-6688,-6826,-6963,-7101,-7234,-7369,-7497,-7620,-7745,-7869,-7987,-8107,-8220,-8336,-8441,-8549,
-8651,-8746,-8833,-8911,-8981,-9040,-9082,-9103,-9112,-9098,-9063,-9008,-8928,-8825,-8693,-8532,-8346,-8129,-7879,-7600,
-7283,-6937,-6555,-6135,-5680,-5188,-4660,-4098,-3504,-2881,-2227,-1555,-864,-169,536,1230,1920,2589,3232,3852,
4439,4988,5506,5982,6422,6821,7186,7509,7798,8043,8263,8444,8588,8704,8787,8840,8865,8864,8841,8798,
8733,8655,8564,8461,8355,8235,8113,7988,7860,7732,7599,7469,7336,7203,7070,6936,6800,6661,6520,6375,
6231,6086,5937,5788,5641,5492,5347,5201,5063,4927,4792,4666,4540,4422,4304,4188,4078,3970,3863,3756,
3653,3549,3444,3338,3232,3125,3020,2914,2811,2707,2610,2507,2413,2322,2233,2145,2067,1984,1907,1832,
1758,1686,1618,1544,1475,1401,1329,1252,1177,1100,1027,948,874,798,724,650,578,511,445,377,
316,255,192,133,70,11,-48,-108,-172,-235,-298,-366,-435,-507,-574,-644,-716,-783,-850,-918,
-986,-1052,-1117,-1175,-1239,-1298,-1362,-1421,-1482,-1548,-1610,-1674,-1741,-1810,-1881,-1953,-2028,-2108,-2187,-2265,
-2349,-2427,-2508,-2589,-2667,-2745,-2822,-2901,-2974,-3053,-3131,-3208,-3288,-3371,-3452,-3540,-3628,-3721,-3813,-3911,
-4009,-4114,-4215,-4322,-4426,-4536,-4639,-4746,-4849,-4953,-5056,-5156,-5256,-5355,-5458,-5560,-5658,-5764,-5868,-5976,
-6080,-6192,-6300,-6410,-6522,-6635,-6744,-6852,-6953,-7051,-7143,-7223,-7301,-7368,-7428,-7479,-7517,-7548,-7569,-7578,
-7577,-7563,-7543,-7506,-7456,-7389,-7304,-7198,-7071,-6918,-6744,-6541,-6300,-6030,-5725,-5382,-5001,-4587,-4138,-3655,
-3131,-2586,-2015,-1414,-798,-168,478,1128,1780,2430,3069,3696,4308,4896,5459,5996,6502,6977,7413,7811,
8172,8495,8773,9014,9212,9380,9512,9612,9685,9728,9750,9748,9731,9690,9637,9566,9486,9391,9282,9164,
9035,8897,8750,8593,8432,8269,8097,7926,7746,7571,7398,7227,7055,6885,6723,6560,6402,6245,6096,5943,
5792,5645,5499,5354,5210,5062,4920,4776,4637,4498,4359,4225,4092,3965,3844,3723,3611,3503,3395,3295,
3196,3102,3007,2918,2828,2741,2653,2567,2480,2395,2309,2224,2143,2060,1979,1900,1822,1751,1675,1609,
1540,1478,1416,1361,1302,1243,1188,1132,1079,1023,970,913,857,801,742,688,632,574,519,464,
411,357,305,258,211,162,121,75,30,-13,-58,-102,-146,-193,-237,-286,-335,-384,-432,-485,
-534,-587,-637,-686,-733,-781,-833,-878,-922,-966,-1012,-1052,-1098,-1143,-1187,-1236,-1283,-1332,-1387,-1438,
-1492,-1547,-1606,-1665,-1724,-1782,-1846,-1900,-1962,-2023,-2086,-2147,-2209,-2264,-2325,-2388,-2449,-2514,-2581,-2649,
-2723,-2793,-2867,-2946,-3025,-3108,-3194,-3283,-3368,-3457,-3550,-3645,-3734,-3830,-3924,-4022,-4116,-4211,-4308,-4409,
-4506,-4611,-4716,-4828,-4943,-5057,-5175,-5297,-5422,-5551,-5680,-5816,-5950,-6084,-6219,-6355,-6486,-6620,-6750,-6883,
-7008,-7135,-7258,-7381,-7503,-7622,-7740,-7858,-7975,-8088,-8196,-8305,-8406,-8498,-8584,-8663,-8730,-8785,-8825,-8853,
-8863,-8851,-8821,-8773,-8701,-8610,-8487,-8344,-8179,-7984,-7758,-7512,-7228,-6912,-6566,-6185,-5767,-5315,-4829,-4306,
-3758,-3177,-2575,-1943,-1301,-641,22,687,1345,1990,2626,3235,3815,4369,4895,5384,5844,6267,6655,7006,
7325,7602,7848,8054,8228,8365,8470,8549,8596,8617,8617,8595,8556,8496,8422,8338,8248,8147,8045,7931,
7823,7706,7586,7466,7342,7212,7084,6955,6817,6680,6538,6396,6254,6105,5956,5810,5669,5525,5378,5237,
5100,4968,4838,4716,4593,4478,4363,4249,4136,4029,3918,3808,3701,3591,3479,3370,3263,3155,3043,2941,
2834,2731,2633,2535,2438,2350,2260,2176,2094,2018,1940,1862,1785,1711,1636,1559,1484,1406,1330,1248,
1168,1090,1013,933,860,781,707,632,563,494,428,366,300,240,175,116,52,-10,-74,-139,
-207,-272,-343,-414,-486,-554,-623,-696,-765,-833,-902,-971,-1036,-1103,-1163,-1230,-1292,-1352,-1412,-1475,
-1541,-1606,-1672,-1741,-1812,-1887,-1964,-2040,-2119,-2197,-2278,-2359,-2440,-2519,-2599,-2680,-2760,-2836,-2914,-2993,
-3072,-3147,-3229,-3305,-3386,-3476,-3560,-3649,-3746,-3839,-3937,-4035,-4139,-4245,-4348,-4449,-4556,-4657,-4761,-4862,
-4967,-5068,-5167,-5265,-5364,-5463,-5561,-5662,-5759,-5864,-5970,-6073,-6184,-6295,-6401,-6510,-6614,-6719,-6820,-6917,
-7005,-7089,-7165,-7235,-7296,-7347,-7394,-7426,-7447,-7467,-7465,-7455,-7436,-7406,-7362,-7305,-7226,-7136,-7020,-6883,
-6720,-6529,-6312,-6062,-5777,-5461,-5108,-4723,-4305,-3851,-3366,-2854,-2315,-1749,-1164,-560,55,684,1312,1941,
2566,3184,3786,4370,4934,5474,5987,6470,6922,7339,7719,8062,8366,8634,8864,9057,9218,9345,9441,9512,
9558,9579,9579,9559,9527,9476,9407,9328,9236,9130,9012,8883,8745,8603,8451,8291,8131,7964,7799,7628,
7454,7283,7118,6949,6787,6624,6465,6314,6158,6007,5860,5711,5565,5421,5274,5130,4982,4842,4698,4560,
4421,4287,4156,4028,3901,3779,3663,3549,3443,3338,3237,3141,3044,2955,2863,2775,2685,2598,2509,2425,
2334,2247,2165,2079,1998,1920,1842,1766,1691,1621,1554,1488,1422,1361,1304,1245,1187,1131,1072,1022,
964,908,852,794,736,678,623,564,508,452,401,350,298,245,195,151,103,55,12,-30,
-77,-121,-167,-209,-258,-305,-348,-399,-450,-500,-554,-602,-652,-702,-748,-798,-843,-892,-937,-981,
-1026,-1074,-1114,-1159,-1205,-1250,-1300,-1350,-1398,-1449,-1502,-1557,-1614,-1673,-1731,-1795,-1851,-1910,-1973,-2029,
-2088,-2150,-2211,-2274,-2332,-2392,-2455,-2520,-2585,-2650,-2720,-2791,-2864,-2938,-3017,-3095,-3180,-3268,-3355,-3443,
-3532,-3625,-3715,-3806,-3899,-3991,-4085,-4180,-4279,-4375,-4477,-4576,-4684,-4789,-4899,-5012,-5127,-5247,-5367,-5493,
-5621,-5749,-5881,-6016,-6148,-6279,-6411,-6541,-6669,-6796,-6923,-7049,-7170,-7290,-7411,-7527,-7645,-7759,-7869,-7979,
-8085,-8186,-8282,-8378,-8457,-8535,-8598,-8656,-8698,-8723,-8725,-8717,-8689,-8637,-8567,-8479,-8364,-8227,-8063,-7872,
-7654,-7408,-7126,-6822,-6485,-6112,-5707,-5272,-4803,-4304,-3774,-3217,-2638,-2035,-1416,-783,-149,494,1130,1756,
2371,2963,3537,4087,4607,5103,5566,5999,6399,6763,7093,7389,7651,7876,8072,8233,8363,8460,8530,8571,
8588,8582,8559,8512,8456,8384,8302,8213,8115,8010,7906,7791,7674,7554,7429,7305,7179,7049,6919,6784,
6645,6502,6357,6213,6068,5921,5774,5629,5489,5347,5209,5076,4948,4819,4697,4578,4459,4343,4226,4115,
4009,3900,3788,3682,3574,3466,3354,3247,3140,3033,2926,2825,2724,2626,2531,2441,2354,2270,2184,2107,
2024,1947,1868,1794,1721,1647,1569,1493,1419,1342,1264,1186,1106,1032,953,877,802,730,659,589,
522,458,394,330,269,205,144,80,17,-44,-111,-177,-243,-314,-381,-453,-524,-595,-665,-737,
-803,-872,-932,-999,-1065,-1128,-1189,-1253,-1313,-1376,-1439,-1507,-1573,-1642,-1710,-1784,-1855,-1929,-2004,-2085,
-2163,-2245,-2324,-2406,-2486,-2562,-2639,-2719,-2798,-2874,-2951,-3030,-3108,-3187,-3271,-3355,-3445,-3531,-3619,-3713,
-3811,-3907,-4006,-4112,-4217,-4320,-4425,-4528,-4634,-4741,-4842,-4942,-5043,-5143,-5245,-5344,-5449,-5551,-5655,-5759,
-5867,-5978,-6088,-6196,-6308,-6417,-6528,-6636,-6746,-6848,-6947,-7039,-7127,-7209,-7279,-7345,-7398,-7446,-7482,-7510,
-7530,-7539,-7539,-7525,-7501,-7462,-7410,-7336,-7246,-7134,-6996,-6838,-6647,-6429,-6181,-5898,-5583,-5234,-4847,-4429,
-3975,-3491,-2982,-2444,-1880,-1299,-700,-85,539,1169,1796,2417,3036,3637,4224,4793,5337,5857,6347,6806,
7235,7623,7977,8296,8576,8819,9026,9201,9348,9461,9548,9610,9647,9663,9654,9628,9583,9523,9444,9356,
9254,9141,9015,8880,8737,8586,8425,8263,8096,7927,7753,7579,7407,7238,7069,6904,6740,6580,6421,6262,
6108,5954,5801,5647,5499,5351,5203,5054,4906,4764,4618,4478,4342,4206,4075,3944,3821,3706,3591,3481,
3376,3275,3178,3078,2980,2888,2795,2704,2613,2524,2439,2348,2262,2178,2095,2011,1930,1854,1778,1701,
1630,1558,1495,1431,1370,1311,1255,1195,1139,1079,1025,970,910,857,801,744,684,627,574,521,
464,412,357,307,254,205,163,117,72,28,-14,-59,-103,-149,-194,-236,-288,-333,-382,-429,
-478,-527,-579,-626,-675,-723,-770,-816,-862,-910,-953,-994,-1039,-1086,-1127,-1173,-1220,-1268,-1315,-1367,
-1413,-1469,-1521,-1575,-1630,-1688,-1743,-1804,-1860,-1922,-1978,-2037,-2096,-2155,-2213,-2272,-2330,-2392,-2453,-2517,
-2582,-2649,-2724,-2794,-2870,-2947,-3027,-3107,-3191,-3273,-3362,-3448,-3536,-3628,-3716,-3807,-3899,-3991,-4085,-4181,
-4276,-4373,-4473,-4577,-4682,-4788,-4904,-5020,-5141,-5262,-5387,-5513,-5641,-5768,-5899,-6032,-6164,-6296,-6429,-6559,
-6689,-6817,-6945,-7074,-7200,-7322,-7446,-7570,-7691,-7813,-7934,-8055,-8171,-8279,-8385,-8483,-8575,-8656,-8726,-8786,
-8834,-8864,-8881,-8880,-8862,-8826,-8765,-8686,-8583,-8457,-8303,-8129,-7921,-7687,-7426,-7134,-6812,-6452,-6060,-5634,
-5171,-4678,-4154,-3600,-3024,-2426,-1810,-1183,-542,103,747,1385,2011,2621,3216,3785,4332,4853,5342,5804,
6230,6628,6987,7313,7596,7850,8067,8248,8393,8506,8592,8653,8681,8693,8681,8648,8599,8534,8461,8378,
8285,8187,8082,7973,7858,7738,7616,7491,7358,7222,7081,6941,6794,6646,6497,6350,6201,6049,5901,5754,
5613,5468,5329,5196,5064,4937,4813,4691,4575,4455,4339,4225,4113,3996,3883,3768,3656,3541,3427,3317,
3211,3099,2999,2893,2795,2699,2601,2509,2424,2334,2253,2176,2091,2015,1933,1856,1780,1706,1625,1549,
1466,1388,1307,1230,1151,1077,999,928,855,785,713,644,580,515,452,392,328,271,204,141,
80,12,-53,-122,-193,-259,-329,-401,-468,-535,-605,-668,-734,-798,-866,-929,-989,-1049,-1110,-1171,
-1230,-1292,-1356,-1420,-1486,-1552,-1622,-1695,-1767,-1841,-1919,-1996,-2070,-2145,-2222,-2299,-2371,-2446,-2518,-2593,
-2669,-2745,-2817,-2893,-2972,-3050,-3128,-3211,-3297,-3384,-3475,-3570,-3666,-3762,-3861,-3959,-4060,-4162,-4259,-4361,
-4459,-4557,-4655,-4756,-4855,-4958,-5057,-5155,-5260,-5359,-5465,-5571,-5684,-5796,-5908,-6021,-6137,-6254,-6368,-6479,
-6591,-6696,-6795,-6890,-6979,-7064,-7142,-7214,-7282,-7340,-7396,-7437,-7478,-7506,-7528,-7538,-7539,-7530,-7505,-7467,
-7412,-7335,-7237,-7113,-6967,-6789,-6584,-6345,-6073,-5771,-5433,-5065,-4660,-4232,-3768,-3274,-2749,-2204,-1633,-1042,
-437,186,816,1451,2084,2709,3330,3930,4521,5086,5626,6139,6623,7070,7484,7860,8197,8500,8765,8996,
9193,9354,9488,9590,9667,9717,9742,9745,9731,9693,9640,9570,9481,9381,9260,9133,8998,8850,8696,8539,
8379,8213,8047,7877,7711,7542,7373,7207,7045,6882,6719,6559,6402,6245,6089,5934,5776,5620,5464,5307,
5157,5006,4856,4713,4572,4437,4303,4173,4050,3929,3810,3695,3589,3481,3377,3274,3175,3079,2983,2887,
2794,2699,2607,2513,2423,2333,2247,2161,2078,1999,1923,1850,1775,1707,1639,1576,1510,1449,1387,1327,
1265,1206,1150,1089,1029,971,911,851,791,734,676,616,563,509,460,409,361,309,265,217,
172,128,84,37,-11,-55,-101,-151,-200,-246,-295,-345,-397,-449,-497,-546,-594,-641,-685,-729,
-773,-821,-863,-906,-951,-996,-1041,-1086,-1134,-1180,-1233,-1279,-1331,-1387,-1438,-1492,-1549,-1609,-1666,-1720,
-1777,-1834,-1887,-1945,-1999,-2061,-2116,-2174,-2231,-2294,-2355,-2418,-2482,-2551,-2622,-2691,-2766,-2843,-2922,-2999,
-3084,-3165,-3250,-3338,-3418,-3504,-3589,-3674,-3762,-3849,-3943,-4034,-4128,-4226,-4327,-4426,-4532,-4640,-4751,-4868,
-4983,-5104,-5225,-5351,-5476,-5603,-5735,-5867,-5992,-6121,-6250,-6376,-6503,-6631,-6758,-6888,-7016,-7145,-7276,-7406,
-7536,-7663,-7792,-7919,-8040,-8158,-8277,-8387,-8489,-8583,-8671,-8748,-8811,-8860,-8899,-8921,-8923,-8914,-8888,-8845,
-8779,-8698,-8595,-8466,-8312,-8134,-7924,-7687,-7419,-7113,-6778,-6411,-6007,-5569,-5094,-4589,-4053,-3485,-2892,-2281,
-1647,-1003,-354,302,952,1597,2232,2845,3442,4015,4561,5079,5562,6009,6423,6798,7137,7435,7698,7922,
8111,8260,8383,8470,8529,8565,8576,8566,8535,8495,8442,8374,8299,8215,8120,8018,7910,7795,7675,7552,
7420,7289,7151,7011,6865,6717,6567,6416,6264,6116,5967,5823,5683,5544,5408,5279,5150,5021,4902,4778,
4655,4535,4415,4298,4180,4063,3947,3832,3715,3599,3482,3368,3253,3144,3040,2936,2839,2742,2647,2558,
2474,2386,2305,2221,2140,2056,1973,1894,1813,1732,1651,1570,1487,1410,1326,1244,1167,1087,1011,938,
867,797,727,665,598,535,471,409,344,280,213,147,80,13,-58,-126,-197,-267,-339,-408,
-479,-548,-617,-683,-749,-811,-874,-936,-995,-1054,-1118,-1180,-1240,-1306,-1373,-1441,-1510,-1579,-1651,-1725,
-1798,-1873,-1947,-2025,-2099,-2175,-2252,-2325,-2400,-2471,-2545,-2619,-2690,-2764,-2837,-2917,-2994,-3074,-3160,-3245,
-3335,-3423,-3514,-3610,-3703,-3799,-3893,-3993,-4091,-4190,-4287,-4387,-4482,-4577,-4672,-4767,-4864,-4958,-5058,-5159,
-5260,-5361,-5470,-5576,-5688,-5799,-5911,-6022,-6133,-6242,-6348,-6458,-6561,-6659,-6755,-6845,-6931,-7009,-7081,-7148,
-7209,-7264,-7312,-7356,-7391,-7420,-7442,-7453,-7455,-7445,-7418,-7374,-7315,-7234,-7131,-7006,-6855,-6677,-6470,-6234,
-5967,-5669,-5336,-4974,-4581,-4157,-3704,-3223,-2715,-2185,-1627,-1055,-464,143,763,1389,2011,2633,3246,3847,
4431,4991,5527,6038,6518,6959,7368,7743,8080,8382,8644,8876,9071,9235,9375,9478,9559,9610,9635,9641,
9626,9586,9532,9459,9372,9269,9155,9031,8899,8756,8608,8456,8294,8133,7971,7806,7647,7485,7325,7167,
7010,6853,6693,6536,6379,6221,6061,5907,5749,5595,5437,5286,5136,4990,4843,4703,4564,4432,4300,4174,
4053,3937,3824,3716,3607,3504,3402,3299,3198,3100,3001,2902,2805,2711,2616,2523,2435,2347,2258,2177,
2096,2017,1943,1868,1798,1731,1667,1602,1540,1478,1418,1355,1293,1233,1170,1108,1050,989,927,869,
808,752,694,639,588,536,484,435,386,338,294,248,202,159,113,64,16,-34,-81,-135,
-183,-232,-284,-335,-387,-435,-482,-530,-577,-623,-669,-712,-760,-805,-847,-890,-935,-978,-1025,-1072,
-1121,-1173,-1222,-1276,-1329,-1384,-1438,-1493,-1551,-1608,-1660,-1716,-1773,-1827,-1886,-1940,-1998,-2057,-2115,-2170,
-2236,-2295,-2358,-2426,-2493,-2565,-2638,-2713,-2789,-2867,-2946,-3027,-3107,-3189,-3273,-3356,-3439,-3524,-3611,-3697,
-3785,-3875,-3969,-4060,-4155,-4253,-4353,-4456,-4565,-4679,-4793,-4909,-5027,-5151,-5273,-5396,-5521,-5645,-5771,-5894,
-6020,-6146,-6269,-6396,-6522,-6646,-6773,-6895,-7020,-7150,-7275,-7398,-7526,-7650,-7772,-7894,-8009,-8123,-8227,-8325,
-8412,-8489,-8559,-8614,-8658,-8691,-8708,-8708,-8698,-8667,-8620,-8552,-8464,-8352,-8220,-8064,-7881,-7673,-7438,-7173,
-6874,-6543,-6179,-5779,-5347,-4882,-4385,-3860,-3308,-2726,-2133,-1519,-892,-254,386,1021,1652,2274,2883,3469,
4035,4578,5089,5568,6015,6429,6805,7139,7440,7703,7927,8113,8267,8388,8479,8538,8577,8592,8589,8564,
8522,8471,8407,8327,8244,8153,8055,7949,7834,7717,7594,7464,7328,7188,7045,6898,6747,6596,6446,6298,
6150,6005,5863,5722,5581,5446,5314,5187,5060,4935,4816,4697,4576,4455,4338,4219,4099,3980,3858,3740,
3621,3506,3393,3281,3172,3070,2968,2870,2774,2680,2588,2502,2412,2330,2246,2167,2083,2002,1920,1840,
1756,1672,1590,1506,1424,1342,1261,1184,1104,1030,959,888,821,750,682,620,555,486,426,359,
295,228,162,95,27,-45,-117,-190,-261,-331,-404,-472,-540,-610,-672,-734,-798,-862,-924,-988,
-1050,-1109,-1175,-1237,-1303,-1368,-1437,-1506,-1576,-1650,-1726,-1798,-1877,-1951,-2027,-2105,-2178,-2252,-2327,-2400,
-2475,-2545,-2619,-2695,-2769,-2848,-2926,-3005,-3087,-3170,-3257,-3347,-3439,-3530,-3625,-3721,-3821,-3917,-4016,-4114,
-4211,-4308,-4403,-4499,-4592,-4688,-4786,-4884,-4983,-5080,-5183,-5288,-5391,-5496,-5606,-5717,-5829,-5941,-6054,-6166,
-6275,-6384,-6491,-6593,-6692,-6783,-6870,-6952,-7029,-7099,-7164,-7225,-7283,-7332,-7373,-7410,-7439,-7457,-7463,-7460,
-7444,-7414,-7365,-7302,-7218,-7110,-6980,-6819,-6636,-6420,-6177,-5903,-5599,-5265,-4905,-4514,-4098,-3655,-3184,-2688,
-2170,-1627,-1067,-493,92,686,1285,1884,2477,3066,3649,4213,4766,5292,5797,6271,6715,7126,7502,7850,
8160,8433,8678,8888,9068,9216,9335,9426,9491,9528,9548,9544,9519,9475,9415,9334,9239,9132,9008,8879,
8739,8592,8442,8286,8131,7971,7809,7651,7489,7328,7169,7008,6847,6687,6527,6370,6211,6051,5894,5737,
5578,5422,5263,5111,4960,4812,4669,4533,4398,4268,4142,4021,3904,3791,3678,3568,3461,3357,3251,3150,
3050,2950,2851,2752,2659,2564,2470,2376,2290,2202,2116,2038,1961,1888,1815,1745,1680,1615,1549,1488,
1425,1361,1300,1237,1178,1117,1056,996,939,878,819,759,702,645,592,540,489,441,392,347,
302,258,212,168,123,75,30,-17,-64,-112,-160,-209,-255,-305,-353,-406,-451,-500,-547,-591,
-635,-677,-720,-763,-805,-845,-888,-932,-977,-1023,-1067,-1117,-1168,-1219,-1268,-1318,-1371,-1424,-1477,-1533,
-1585,-1642,-1694,-1746,-1801,-1854,-1909,-1961,-2015,-2073,-2132,-2189,-2254,-2317,-2381,-2448,-2518,-2589,-2661,-2735,
-2810,-2890,-2968,-3044,-3126,-3209,-3292,-3370,-3455,-3537,-3620,-3704,-3793,-3883,-3975,-4068,-4167,-4266,-4371,-4480,
-4587,-4704,-4817,-4933,-5052,-5171,-5292,-5415,-5539,-5667,-5791,-5913,-6037,-6162,-6286,-6408,-6531,-6658,-6784,-6911,
-7039,-7172,-7300,-7430,-7556,-7684,-7809,-7925,-8038,-8150,-8253,-8344,-8432,-8508,-8577,-8631,-8670,-8698,-8711,-8707,
-8690,-8654,-8602,-8533,-8440,-8333,-8198,-8042,-7856,-7645,-7406,-7134,-6833,-6496,-6131,-5731,-5305,-4845,-4357,-3842,
-3298,-2734,-2151,-1551,-938,-317,308,926,1543,2154,2754,3338,3903,4452,4971,5459,5919,6344,6730,7078,
7394,7670,7911,8113,8283,8422,8526,8602,8655,8680,8689,8674,8646,8603,8549,8480,8403,8316,8218,8113,
7996,7873,7746,7610,7472,7331,7184,7035,6881,6733,6582,6428,6283,6135,5994,5851,5715,5583,5454,5326,
5199,5076,4952,4826,4703,4580,4457,4332,4208,4088,3966,3846,3727,3612,3500,3388,3278,3175,3077,2979,
2883,2793,2705,2620,2533,2449,2368,2283,2197,2114,2028,1944,1858,1772,1691,1610,1528,1444,1368,1290,
1213,1140,1069,1001,933,863,801,739,671,607,545,478,411,340,274,204,132,62,-7,-80,
-148,-218,-289,-355,-419,-488,-549,-612,-678,-737,-799,-863,-921,-983,-1048,-1112,-1177,-1248,-1316,-1390,
-1462,-1535,-1608,-1681,-1755,-1828,-1906,-1978,-2050,-2123,-2197,-2267,-2339,-2410,-2483,-2557,-2630,-2708,-2786,-2868,
-2950,-3038,-3126,-3218,-3309,-3404,-3495,-3589,-3686,-3779,-3876,-3969,-4065,-4158,-4255,-4346,-4443,-4536,-4632,-4730,
-4829,-4929,-5035,-5138,-5249,-5359,-5471,-5588,-5703,-5817,-5930,-6043,-6153,-6261,-6365,-6466,-6567,-6659,-6750,-6836,
-6917,-6995,-7067,-7133,-7198,-7255,-7308,-7355,-7392,-7426,-7448,-7460,-7459,-7444,-7410,-7360,-7285,-7191,-7072,-6929,
-6763,-6568,-6345,-6098,-5816,-5509,-5171,-4806,-4417,-3997,-3550,-3079,-2583,-2063,-1523,-964,-392,191,785,1383,
1981,2577,3170,3748,4313,4859,5384,5880,6348,6787,7192,7563,7902,8206,8479,8719,8924,9103,9252,9370,
9463,9524,9564,9576,9568,9536,9486,9418,9332,9233,9121,9002,8869,8732,8592,8441,8288,8132,7974,7817,
7659,7498,7342,7185,7025,6862,6700,6537,6374,6209,6043,5883,5719,5556,5399,5246,5095,4946,4804,4667,
4529,4397,4268,4143,4026,3908,3795,3682,3574,3466,3354,3248,3142,3036,2931,2832,2729,2629,2533,2442,
2353,2267,2183,2102,2023,1949,1873,1801,1735,1666,1597,1533,1469,1404,1339,1271,1209,1142,1078,1015,
954,894,828,770,715,660,603,555,503,453,405,355,310,265,217,171,125,77,28,-20,
-71,-120,-172,-220,-272,-322,-371,-420,-468,-513,-557,-604,-646,-687,-733,-776,-818,-861,-905,-951,
-995,-1040,-1089,-1136,-1189,-1237,-1289,-1345,-1395,-1448,-1498,-1553,-1603,-1654,-1706,-1756,-1808,-1860,-1911,-1966,
-2022,-2079,-2135,-2195,-2254,-2316,-2381,-2450,-2521,-2590,-2662,-2737,-2813,-2888,-2963,-3041,-3116,-3197,-3274,-3352,
-3430,-3513,-3594,-3681,-3767,-3858,-3950,-4041,-4141,-4238,-4340,-4449,-4560,-4673,-4786,-4902,-5022,-5140,-5260,-5376,
-5498,-5620,-5741,-5859,-5984,-6105,-6228,-6356,-6482,-6613,-6742,-6872,-7005,-7140,-7273,-7406,-7540,-7674,-7804,-7931,
-8056,-8173,-8281,-8384,-8478,-8564,-8638,-8704,-8757,-8803,-8832,-8852,-8857,-8851,-8828,-8786,-8725,-8646,-8544,-8418,
-8268,-8092,-7888,-7652,-7385,-7085,-6751,-6382,-5979,-5544,-5075,-4578,-4049,-3499,-2926,-2328,-1715,-1091,-457,181,
820,1456,2082,2697,3296,3876,4428,4954,5448,5907,6327,6713,7058,7362,7630,7860,8054,8219,8347,8448,
8524,8572,8600,8608,8596,8571,8525,8466,8398,8317,8223,8122,8009,7889,7763,7628,7491,7345,7200,7048,
6897,6746,6598,6452,6309,6168,6031,5893,5757,5626,5495,5366,5239,5111,4985,4857,4731,4604,4478,4350,
4223,4098,3975,3851,3730,3614,3505,3393,3288,3187,3092,2996,2902,2809,2722,2633,2542,2458,2372,2287,
2197,2110,2024,1936,1849,1763,1678,1593,1511,1428,1355,1277,1204,1136,1066,998,934,869,802,738,
670,606,540,471,402,332,263,193,120,49,-22,-94,-165,-234,-301,-366,-429,-491,-552,-614,
-674,-737,-799,-859,-922,-988,-1050,-1116,-1183,-1252,-1323,-1395,-1466,-1540,-1613,-1685,-1759,-1832,-1904,-1973,
-2045,-2112,-2180,-2247,-2317,-2388,-2461,-2534,-2609,-2690,-2767,-2848,-2932,-3019,-3108,-3198,-3286,-3379,-3476,-3568,
-3660,-3752,-3844,-3936,-4028,-4120,-4206,-4296,-4388,-4483,-4580,-4676,-4777,-4881,-4985,-5092,-5199,-5309,-5423,-5536,
-5648,-5760,-5872,-5979,-6085,-6192,-6296,-6393,-6484,-6575,-6664,-6747,-6826,-6904,-6979,-7053,-7122,-7187,-7249,-7299,
-7348,-7386,-7416,-7434,-7437,-7427,-7401,-7356,-7293,-7206,-7100,-6971,-6816,-6634,-6426,-6193,-5930,-5641,-5325,-4984,
-4613,-4214,-3786,-3331,-2848,-2337,-1802,-1241,-663,-69,540,1152,1771,2387,2997,3599,4179,4743,5283,5796,
6278,6725,7143,7527,7873,8191,8473,8722,8934,9120,9270,9393,9482,9546,9585,9595,9588,9558,9507,9438,
9353,9257,9142,9024,8892,8761,8621,8478,8329,8182,8033,7880,7726,7572,7413,7254,7089,6927,6765,6601,
6436,6271,6109,5944,5783,5621,5465,5311,5162,5019,4878,4743,4611,4483,4361,4239,4119,4004,3891,3775,
3662,3549,3438,3330,3224,3117,3016,2912,2811,2715,2621,2530,2443,2355,2276,2197,2121,2048,1975,1904,
1838,1769,1703,1634,1567,1502,1431,1364,1300,1233,1170,1105,1043,980,921,863,806,753,699,650,
601,555,506,460,411,365,316,271,219,175,121,73,21,-27,-81,-127,-178,-227,-277,-327,
-372,-417,-462,-507,-546,-591,-633,-677,-720,-763,-810,-860,-904,-952,-1002,-1054,-1107,-1157,-1211,-1260,
-1314,-1365,-1418,-1471,-1523,-1573,-1627,-1679,-1727,-1781,-1834,-1890,-1948,-2004,-2061,-2128,-2190,-2255,-2323,-2393,
-2465,-2536,-2610,-2685,-2757,-2830,-2909,-2984,-3064,-3141,-3216,-3296,-3378,-3457,-3541,-3627,-3716,-3804,-3902,-3999,
-4100,-4204,-4311,-4418,-4533,-4646,-4760,-4875,-4993,-5108,-5228,-5344,-5465,-5588,-5705,-5826,-5949,-6070,-6197,-6320,
-6451,-6582,-6713,-6847,-6983,-7119,-7255,-7392,-7525,-7659,-7785,-7906,-8023,-8134,-8238,-8333,-8422,-8500,-8571,-8629,
-8677,-8716,-8740,-8753,-8750,-8738,-8707,-8659,-8590,-8505,-8392,-8257,-8092,-7902,-7679,-7420,-7129,-6807,-6444,-6052,
-5622,-5162,-4669,-4144,-3590,-3014,-2412,-1791,-1156,-510,139,797,1448,2088,2723,3338,3929,4492,5025,5523,
5985,6409,6790,7139,7442,7706,7937,8128,8287,8414,8508,8582,8628,8654,8658,8642,8614,8570,8515,8447,
8365,8272,8166,8050,7926,7796,7658,7521,7375,7228,7079,6930,6781,6637,6490,6347,6207,6071,5936,5801,
5669,5544,5414,5290,5159,5032,4905,4775,4644,4515,4387,4258,4132,4010,3889,3768,3652,3542,3434,3327,
3226,3130,3031,2937,2845,2755,2669,2578,2493,2405,2315,2223,2133,2043,1955,1864,1777,1691,1610,1524,
1442,1367,1295,1217,1149,1079,1011,945,877,811,749,680,612,546,474,404,330,256,184,111,
40,-34,-104,-172,-242,-310,-373,-439,-503,-564,-626,-687,-750,-814,-877,-938,-1006,-1067,-1139,-1207,
-1281,-1353,-1424,-1498,-1573,-1645,-1715,-1790,-1858,-1931,-2001,-2069,-2139,-2209,-2277,-2346,-2417,-2493,-2566,-2641,
-2718,-2800,-2883,-2968,-3055,-3146,-3238,-3329,-3422,-3514,-3606,-3696,-3788,-3875,-3968,-4059,-4145,-4239,-4331,-4425,
-4519,-4615,-4714,-4814,-4916,-5024,-5132,-5240,-5354,-5467,-5583,-5694,-5809,-5921,-6027,-6129,-6234,-6333,-6428,-6522,
-6612,-6696,-6784,-6863,-6944,-7020,-7095,-7166,-7228,-7290,-7347,-7395,-7435,-7465,-7488,-7494,-7485,-7457,-7416,-7352,
-7266,-7158,-7029,-6878,-6700,-6497,-6271,-6015,-5736,-5430,-5095,-4733,-4341,-3922,-3472,-2995,-2492,-1961,-1412,-836,
-244,362,979,1600,2225,2845,3455,4048,4621,5174,5699,6192,6657,7088,7486,7849,8176,8471,8732,8957,
9150,9312,9441,9541,9609,9652,9670,9658,9628,9575,9506,9420,9318,9207,9086,8959,8822,8684,8540,8390,
8240,8086,7933,7774,7614,7457,7295,7131,6964,6797,6630,6462,6293,6125,5958,5793,5633,5474,5322,5173,
5029,4889,4754,4624,4492,4366,4243,4125,4007,3888,3776,3662,3547,3434,3324,3216,3106,2998,2895,2798,
2698,2604,2513,2429,2342,2264,2184,2110,2037,1963,1892,1823,1756,1685,1621,1552,1485,1416,1349,1281,
1218,1150,1088,1025,965,905,847,792,743,691,642,595,545,499,450,402,357,308,260,212,
162,111,59,8,-42,-92,-141,-189,-236,-286,-331,-378,-420,-464,-506,-548,-590,-632,-677,-723,
-763,-808,-857,-903,-951,-999,-1049,-1101,-1153,-1201,-1254,-1304,-1356,-1405,-1457,-1506,-1554,-1602,-1654,-1704,
-1755,-1808,-1862,-1918,-1975,-2033,-2096,-2160,-2224,-2290,-2359,-2429,-2500,-2570,-2641,-2716,-2788,-2859,-2933,-3007,
-3082,-3155,-3233,-3310,-3389,-3469,-3556,-3643,-3735,-3830,-3925,-4025,-4127,-4232,-4336,-4446,-4558,-4671,-4783,-4899,
-5013,-5127,-5243,-5359,-5479,-5592,-5711,-5833,-5955,-6079,-6205,-6336,-6470,-6606,-6738,-6878,-7013,-7151,-7288,-7423,
-7558,-7687,-7813,-7936,-8053,-8160,-8262,-8358,-8442,-8521,-8588,-8647,-8697,-8735,-8763,-8782,-8786,-8776,-8751,-8703,
-8639,-8552,-8441,-8304,-8139,-7950,-7724,-7466,-7180,-6857,-6501,-6108,-5684,-5230,-4744,-4225,-3681,-3113,-2518,-1905,
-1274,-635,15,670,1328,1975,2618,3245,3852,4429,4980,5494,5970,6407,6805,7162,7479,7755,7993,8201,
8369,8507,8616,8700,8755,8789,8801,8792,8769,8725,8665,8594,8506,8407,8297,8177,8051,7917,7773,7632,
7481,7331,7179,7027,6880,6736,6591,6451,6313,6178,6042,5907,5776,5645,5510,5379,5246,5111,4976,4843,
4709,4578,4446,4315,4189,4065,3943,3824,3712,3604,3498,3396,3299,3202,3109,3016,2923,2833,2740,2649,
2559,2468,2376,2283,2192,2104,2013,1927,1843,1757,1675,1595,1516,1441,1372,1301,1233,1168,1102,1036,
969,903,833,764,696,624,555,481,409,335,263,193,123,54,-16,-83,-150,-215,-274,-336,
-398,-457,-517,-574,-639,-701,-764,-832,-900,-968,-1038,-1105,-1181,-1254,-1322,-1395,-1468,-1535,-1607,-1675,
-1742,-1812,-1879,-1945,-2013,-2079,-2147,-2217,-2292,-2365,-2440,-2520,-2604,-2685,-2769,-2854,-2945,-3034,-3122,-3212,
-3300,-3391,-3479,-3567,-3658,-3747,-3834,-3922,-4010,-4103,-4192,-4287,-4382,-4484,-4585,-4687,-4796,-4908,-5020,-5130,
-5243,-5359,-5472,-5584,-5692,-5805,-5908,-6015,-6120,-6219,-6318,-6415,-6507,-6598,-6686,-6776,-6861,-6948,-7030,-7114,
-7191,-7266,-7334,-7391,-7443,-7484,-7512,-7527,-7530,-7514,-7480,-7430,-7360,-7270,-7163,-7032,-6878,-6701,-6504,-6276,
-6033,-5762,-5468,-5144,-4793,-4413,-4002,-3562,-3093,-2596,-2073,-1530,-962,-377,222,835,1451,2066,2684,3286,
3881,4456,5008,5532,6031,6499,6936,7339,7714,8056,8363,8635,8878,9079,9250,9382,9485,9561,9606,9624,
9619,9591,9545,9476,9394,9300,9194,9079,8955,8825,8694,8553,8409,8262,8114,7957,7799,7637,7474,7301,
7132,6958,6785,6614,6440,6272,6104,5937,5772,5616,5462,5313,5168,5027,4890,4755,4627,4497,4373,4247,
4123,4000,3880,3759,3636,3519,3403,3288,3175,3070,2963,2862,2763,2669,2576,2490,2407,2323,2244,2169,
2091,2017,1942,1873,1797,1726,1655,1582,1509,1436,1366,1293,1225,1158,1096,1035,974,918,862,808,
756,704,655,606,555,504,457,407,359,306,257,201,151,99,45,-4,-56,-108,-156,-204,
-251,-294,-342,-389,-429,-476,-517,-556,-600,-641,-688,-734,-778,-826,-872,-922,-968,-1018,-1070,-1122,
-1170,-1221,-1267,-1315,-1361,-1409,-1460,-1508,-1552,-1600,-1649,-1698,-1749,-1797,-1855,-1908,-1965,-2024,-2084,-2147,
-2210,-2273,-2340,-2409,-2475,-2544,-2611,-2678,-2747,-2815,-2884,-2957,-3027,-3097,-3172,-3250,-3328,-3407,-3490,-3577,
-3667,-3758,-3854,-3954,-4050,-4154,-4260,-4365,-4472,-4579,-4685,-4795,-4902,-5010,-5123,-5235,-5350,-5463,-5578,-5702,
-5822,-5947,-6076,-6206,-6342,-6476,-6612,-6751,-6891,-7030,-7168,-7305,-7441,-7570,-7695,-7818,-7934,-8046,-8150,-8250,
-8344,-8433,-8512,-8586,-8651,-8707,-8758,-8794,-8822,-8832,-8832,-8811,-8775,-8717,-8635,-8527,-8398,-8235,-8048,-7826,
-7573,-7290,-6973,-6627,-6244,-5834,-5391,-4915,-4416,-3882,-3322,-2740,-2136,-1514,-876,-226,431,1088,1744,2392,
3023,3632,4215,4766,5286,5766,6211,6613,6978,7303,7590,7846,8062,8245,8404,8522,8618,8685,8727,8752,
8749,8726,8685,8628,8554,8464,8359,8247,8122,7992,7856,7719,7577,7434,7290,7148,7010,6868,6730,6592,
6456,6322,6188,6054,5922,5784,5650,5514,5375,5238,5097,4956,4821,4685,4549,4423,4294,4175,4054,3940,
3830,3723,3619,3518,3420,3322,3226,3130,3035,2942,2845,2751,2654,2559,2463,2368,2271,2182,2090,2003,
1919,1836,1756,1676,1602,1533,1459,1392,1324,1255,1188,1117,1050,980,911,838,769,694,622,545,
472,402,327,255,190,124,58,-8,-70,-128,-188,-249,-308,-369,-429,-491,-557,-619,-684,-755,
-822,-891,-961,-1033,-1107,-1177,-1249,-1318,-1385,-1456,-1521,-1586,-1654,-1719,-1780,-1847,-1914,-1981,-2053,-2123,
-2198,-2275,-2351,-2429,-2514,-2594,-2683,-2765,-2855,-2944,-3023,-3114,-3200,-3282,-3367,-3450,-3535,-3619,-3703,-3787,
-3875,-3962,-4057,-4150,-4249,-4350,-4453,-4558,-4666,-4775,-4884,-4996,-5107,-5218,-5329,-5437,-5542,-5650,-5748,-5849,
-5947,-6045,-6141,-6238,-6334,-6429,-6520,-6614,-6705,-6799,-6888,-6975,-7058,-7139,-7210,-7271,-7328,-7375,-7411,-7432,
-7438,-7429,-7407,-7363,-7306,-7233,-7140,-7029,-6897,-6749,-6582,-6385,-6169,-5929,-5662,-5366,-5039,-4683,-4297,-3875,
-3426,-2943,-2433,-1893,-1330,-748,-149,464,1083,1709,2327,2938,3541,4124,4683,5224,5734,6220,6673,7099,
7493,7853,8178,8469,8725,8943,9129,9280,9395,9484,9538,9565,9574,9555,9517,9462,9394,9313,9222,9117,
9008,8892,8767,8633,8495,8354,8206,8053,7897,7736,7572,7401,7232,7063,6890,6718,6548,6380,6215,6055,
5897,5746,5597,5450,5311,5171,5037,4904,4770,4641,4513,4381,4255,4127,4004,3877,3752,3634,3518,3401,
3285,3177,3075,2972,2874,2784,2696,2611,2524,2445,2366,2288,2211,2133,2058,1982,1903,1830,1753,1679,
1604,1529,1460,1393,1323,1255,1195,1133,1072,1017,961,907,855,804,754,703,654,600,550,498,
443,388,336,284,228,176,122,70,20,-30,-76,-124,-168,-217,-262,-304,-345,-392,-434,-477,
-520,-567,-613,-660,-711,-761,-808,-858,-911,-959,-1012,-1063,-1110,-1164,-1213,-1258,-1304,-1357,-1404,-1452,
-1497,-1549,-1596,-1650,-1701,-1757,-1814,-1872,-1934,-1997,-2060,-2124,-2190,-2257,-2328,-2393,-2461,-2527,-2598,-2663,
-2732,-2800,-2870,-2942,-3011,-3085,-3163,-3239,-3321,-3408,-3496,-3587,-3680,-3772,-3877,-3972,-4077,-4179,-4286,-4392,
-4496,-4603,-4708,-4818,-4925,-5033,-5143,-5257,-5369,-5485,-5605,-5727,-5851,-5980,-6110,-6246,-6381,-6519,-6656,-6798,
-6934,-7071,-7203,-7337,-7469,-7589,-7711,-7829,-7937,-8042,-8143,-8240,-8328,-8412,-8490,-8564,-8629,-8686,-8731,-8766,
-8791,-8798,-8793,-8762,-8715,-8647,-8548,-8430,-8280,-8106,-7894,-7660,-7392,-7087,-6753,-6384,-5986,-5552,-5087,-4592,
-4067,-3514,-2936,-2329,-1707,-1066,-412,248,911,1570,2219,2853,3461,4046,4596,5113,5589,6031,6435,6801,
7130,7420,7678,7898,8087,8249,8380,8482,8559,8608,8637,8643,8624,8590,8537,8465,8378,8282,8173,8060,
7934,7805,7673,7541,7406,7267,7130,6998,6865,6732,6603,6474,6344,6214,6083,5949,5813,5677,5539,5402,
5259,5120,4982,4846,4711,4579,4448,4324,4204,4085,3969,3860,3755,3649,3549,3452,3353,3254,3161,3061,
2965,2866,2767,2672,2568,2473,2375,2280,2186,2098,2009,1925,1842,1761,1683,1610,1537,1469,1397,1330,
1259,1193,1123,1049,978,904,832,758,681,605,528,455,382,311,239,170,101,35,-29,-91,
-155,-212,-275,-336,-396,-460,-524,-590,-658,-724,-795,-867,-939,-1010,-1082,-1155,-1226,-1297,-1366,-1436,
-1500,-1566,-1632,-1698,-1764,-1827,-1893,-1960,-2028,-2096,-2172,-2244,-2322,-2403,-2483,-2569,-2654,-2739,-2825,-2908,
-3001,-3084,-3168,-3254,-3338,-3418,-3501,-3585,-3671,-3756,-3840,-3928,-4023,-4108,-4206,-4305,-4407,-4511,-4621,-4727,
-4838,-4948,-5056,-5171,-5281,-5387,-5493,-5594,-5701,-5799,-5897,-5993,-6090,-6188,-6282,-6374,-6473,-6565,-6660,-6753,
-6848,-6940,-7032,-7116,-7195,-7270,-7334,-7391,-7434,-7462,-7483,-7483,-7473,-7449,-7405,-7346,-7271,-7178,-7066,-6934,
-6780,-6610,-6411,-6189,-5936,-5664,-5356,-5016,-4645,-4238,-3793,-3315,-2805,-2263,-1696,-1101,-485,143,781,1427,
2071,2710,3333,3942,4530,5094,5632,6146,6625,7076,7490,7869,8215,8528,8792,9029,9222,9382,9508,9600,
9660,9695,9702,9688,9647,9595,9526,9442,9350,9246,9133,9014,8887,8759,8619,8472,8326,8172,8009,7846,
7678,7509,7332,7157,6983,6807,6632,6463,6295,6132,5972,5814,5661,5515,5371,5226,5091,4953,4823,4687,
4558,4427,4299,4169,4042,3915,3791,3666,3545,3432,3321,3205,3104,2998,2903,2808,2716,2629,2545,2461,
2380,2301,2224,2149,2070,1993,1919,1842,1766,1692,1617,1544,1468,1395,1327,1261,1198,1136,1079,1022,
965,912,860,809,757,709,657,603,551,500,447,392,336,286,231,178,125,69,22,-30,
-79,-121,-168,-211,-256,-299,-343,-384,-427,-468,-511,-556,-602,-650,-699,-745,-796,-845,-893,-943,
-993,-1044,-1091,-1140,-1188,-1233,-1277,-1325,-1366,-1415,-1463,-1509,-1557,-1608,-1659,-1710,-1768,-1821,-1882,-1942,
-2001,-2067,-2131,-2196,-2261,-2326,-2395,-2461,-2525,-2591,-2657,-2722,-2788,-2855,-2925,-2996,-3069,-3145,-3226,-3304,
-3388,-3474,-3567,-3661,-3754,-3851,-3954,-4051,-4155,-4256,-4362,-4465,-4567,-4674,-4779,-4885,-4993,-5100,-5212,-5327,
-5444,-5562,-5691,-5813,-5945,-6079,-6217,-6357,-6494,-6633,-6778,-6917,-7055,-7193,-7326,-7455,-7586,-7707,-7823,-7935,
-8045,-8151,-8252,-8349,-8437,-8525,-8606,-8678,-8742,-8794,-8841,-8871,-8885,-8882,-8864,-8820,-8752,-8658,-8547,-8401,
-8225,-8023,-7782,-7513,-7210,-6875,-6505,-6102,-5668,-5196,-4689,-4157,-3584,-2988,-2363,-1718,-1055,-378,307,990,
1674,2348,2995,3624,4218,4780,5303,5789,6236,6644,7013,7341,7633,7892,8118,8306,8458,8588,8686,8757,
8803,8818,8814,8792,8746,8686,8609,8515,8408,8292,8171,8041,7905,7773,7636,7496,7360,7222,7085,6953,
6820,6687,6551,6419,6283,6146,6006,5867,5730,5587,5446,5300,5162,5020,4880,4746,4613,4484,4359,4240,
4128,4012,3902,3800,3699,3595,3498,3394,3301,3200,3102,3004,2904,2804,2706,2606,2509,2414,2317,2228,
2140,2050,1968,1888,1813,1741,1665,1597,1531,1460,1390,1323,1255,1187,1113,1041,968,895,823,747,
672,603,528,457,386,322,251,191,127,69,10,-52,-105,-168,-231,-287,-351,-415,-485,-553,
-619,-686,-757,-827,-899,-965,-1036,-1106,-1174,-1239,-1303,-1373,-1434,-1498,-1559,-1625,-1685,-1751,-1816,-1883,
-1952,-2025,-2100,-2181,-2260,-2342,-2423,-2506,-2588,-2675,-2760,-2844,-2928,-3009,-3089,-3172,-3254,-3335,-3414,-3497,
-3583,-3668,-3756,-3847,-3941,-4040,-4141,-4244,-4351,-4459,-4569,-4678,-4792,-4902,-5013,-5123,-5233,-5341,-5445,-5551,
-5655,-5754,-5857,-5958,-6060,-6163,-6267,-6375,-6481,-6587,-6697,-6804,-6912,-7017,-7114,-7209,-7298,-7378,-7449,-7515,
-7568,-7613,-7644,-7657,-7664,-7652,-7629,-7588,-7538,-7475,-7389,-7285,-7166,-7022,-6857,-6664,-6444,-6192,-5909,-5587,
-5230,-4834,-4398,-3930,-3423,-2883,-2310,-1709,-1084,-439,223,888,1563,2233,2893,3540,4172,4776,5362,5918,
6444,6939,7395,7820,8204,8545,8849,9110,9330,9510,9653,9760,9838,9882,9898,9898,9865,9817,9757,9680,
9593,9492,9382,9265,9136,9000,8856,8707,8551,8383,8214,8042,7864,7686,7504,7320,7141,6963,6786,6610,
6442,6276,6112,5955,5802,5655,5505,5360,5221,5077,4937,4796,4656,4521,4382,4249,4113,3982,3854,3728,
3608,3490,3377,3263,3164,3062,2966,2871,2782,2696,2616,2527,2446,2366,2285,2205,2125,2042,1962,1882,
1806,1728,1654,1580,1505,1437,1373,1305,1247,1189,1135,1075,1018,969,919,862,812,762,708,656,
598,546,490,438,382,327,10,-534,-1077,-759,-710,-459,-349,-49,162,490,782,1100,1365,1683,
1934,2205,2435,2680,2868,3051,3183,3325,3428,3565,3678,3833,3973,4098,4189,4288,4363,4451,4518,4635,
4730,4856,4980,5135,5275,5464,5644,5889,6124,6370,6568,6802,6972,7180,7334,7498,7675,7858,8016,8162,
8270,8364,8430,8484,8523,8536,8499,8465,8370,8277,8155,8028,7926,7831,7732,7642,7542,7432,7313,7214,
7114,7022,6928,6844,6759,6660,6564,6469,6409,6352,6290,6216,6139,6029,5899,5739,5569,5389,5191,4953,
4723,4457,4199,3905,3610,3333,3048,2752,2444,2110,1735,1356,969,590,216,-159,-514,-849,-1177,-1502,
-1809,-2093,-2354,-2598,-2818,-3010,-3208,-3386,-3559,-3697,-3815,-3900,-3981,-4005,-4038,-4053,-4094,-4131,-4150,-4182,
-4215,-4261,-4346,-4431,-4554,-4686,-4842,-5003,-5197,-5352,-5539,-5740,-5970,-6217,-6474,-6737,-7004,-7278,-7560,-7845,
-8122,-8410,-8685,-8939,-9189,-9391,-9566,-9734,-9869,-9998,-10115,-10198,-10253,-10298,-10309,-10307,-10280,-10265,-10222,-10181,
-10138,-10084,-10001,-9904,-9820,-9745,-9678,-9587,-9527,-9476,-9409,-9366,-9315,-9284,-9256,-9246,-9246,-9255,-9253,-9249,
-9254,-9226,-9212,-9192,-9143,-9102,-9037,-8943,-8833,-8696,-8568,-8423,-8268,-8104,-7942,-7761,-7566,-7336,-7138,-6892,
-6635,-6378,-6131,-5867,-5616,-5352,-5131,-4903,-4689,-4503,-4334,-4162,-4009,-3854,-3702,-3535,-3348,-3167,-2997,-2824,
-2666,-2503,-2350,-2220,-2072,-1942,-1837,-1724,-1633,-1532,-1409,-1294,-1132,-981,-826,-667,-523,-386,-274,-206,
-115,-34,17,50,88,94,115,127,154,187,227,242,259,251,221,160,98,30,-33,-100,
-155,-220,-283,-327,-357,-367,-353,-332,-317,-304,-312,-323,-355,-359,-356,-334,-306,-261,-220,-136,
-69,37,149,262,376,510,610,698,756,816,901,999,1084,1200,1301,1413,1528,1636,1771,1897,
2014,2136,2236,2320,2380,2428,2478,2558,2629,2725,2829,2948,3079,3199,3343,3493,3650,3813,3996,4148,
4306,4457,4619,4815,5020,5232,5488,5722,5993,6239,6503,6768,7029,7289,7515,7761,7949,8148,8306,8470,
8624,8775,8913,9049,9165,9248,9328,9403,9460,9487,9503,9503,9472,9426,9355,9292,9233,9157,9107,9059,
9010,8944,8885,8841,8803,8739,8707,8679,8624,8572,8516,8455,8416,8373,8338,8314,8283,8244,8198,8147,
8089,8030,7966,7891,7791,7698,7556,7398,7233,7097,6939,6764,6594,6418,6216,6005,5803,5603,5384,5182,
4970,4751,4516,4281,4042,3824,3596,3387,3190,2982,2776,2563,2364,2152,1958,1768,1580,1384,1201,992,
775,570,367,163,-30,-228,-430,-649,-866,-1087,-1308,-1538,-1737,-1946,-2161,-2384,-2614,-2828,-3044,-3256,
-3451,-3640,-3846,-4019,-4227,-4407,-4596,-4786,-4953,-5096,-5243,-5385,-5527,-5668,-5802,-5930,-6061,-6178,-6283,-6402,
-6531,-6655,-6801,-6940,-7079,-7211,-7317,-7434,-7568,-7688,-7819,-7936,-8086,-8203,-8333,-8459,-8586,-8730,-8860,-8996,
-9135,-9242,-9334,-9402,-9475,-9526,-9561,-9580,-9612,-9625,-9635,-9627,-9595,-9583,-9563,-9514,-9464,-9405,-9313,-9216,
-9094,-8972,-8844,-8688,-8560,-8446,-8322,-8217,-8105,-8010,-7918,-7823,-7725,-7654,-7549,-7448,-7346,-7227,-7108,-6982,
-6876,-6779,-6673,-6600,-6528,-6450,-6373,-6288,-6174,-6063,-5921,-5761,-5583,-5382,-5184,-4968,-4740,-4530,-4317,-4119,
-3927,-3726,-3544,-3346,-3132,-2903,-2679,-2428,-2188,-1951,-1728,-1520,-1323,-1137,-989,-854,-749,-667,-602,-554,
-500,-430,-373,-300,-244,-169,-121,-93,-78,-64,-62,-77,-79,-112,-137,-174,-188,-177,-162,-121,
-50,3,70,104,146,176,208,219,254,273,295,295,328,355,396,444,511,568,608,652,
658,652,642,608,590,564,551,537,520,508,525,540,581,650,711,771,805,842,877,921,
957,1035,1108,1202,1308,1427,1575,1723,1880,2065,2242,2419,2576,2727,2863,2996,3128,3281,3411,3576,
3738,3908,4069,4244,4413,4602,4760,4935,5082,5213,5349,5475,5603,5730,5884,6030,6200,6347,6526,6710,
6896,7068,7264,7427,7586,7735,7872,7999,8136,8265,8396,8524,8647,8762,8877,8960,9058,9131,9215,9257,
9294,9299,9286,9256,9235,9194,9172,9121,9086,9014,8940,8863,8779,8692,8605,8518,8426,8317,8195,8073,
7972,7867,7768,7692,7596,7516,7409,7307,7208,7099,7000,6913,6804,6683,6567,6437,6309,6173,6037,5922,
5780,5656,5493,5329,5149,4966,4755,4574,4371,4171,3948,3734,3512,3299,3040,2833,2633,2409,2202,1958,
1733,1493,1249,1026,813,591,366,158,-54,-264,-477,-681,-860,-1059,-1225,-1413,-1625,-1808,-2003,-2206,
-2393,-2580,-2747,-2921,-3100,-3269,-3466,-3652,-3814,-3980,-4133,-4308,-4492,-4672,-4853,-5049,-5232,-5416,-5584,-5746,
-5907,-6074,-6235,-6416,-6560,-6707,-6848,-6998,-7132,-7279,-7414,-7571,-7714,-7853,-7980,-8089,-8202,-8302,-8394,-8488,
-8591,-8669,-8753,-8812,-8873,-8931,-8986,-9045,-9119,-9162,-9224,-9264,-9289,-9302,-9297,-9297,-9308,-9285,-9265,-9249,
-9223,-9202,-9167,-9146,-9131,-9114,-9078,-9038,-8976,-8916,-8828,-8727,-8635,-8524,-8404,-8290,-8166,-8060,-7945,-7806,
-7677,-7557,-7417,-7289,-7118,-6961,-6761,-6553,-6332,-6133,-5898,-5680,-5461,-5259,-5068,-4872,-4683,-4519,-4324,-4140,
-3955,-3750,-3558,-3357,-3153,-2975,-2783,-2611,-2453,-2308,-2210,-2105,-2005,-1920,-1832,-1724,-1622,-1515,-1397,-1284,
-1160,-1063,-957,-851,-767,-682,-631,-572,-530,-483,-445,-370,-307,-223,-149,-70,5,68,111,155,
178,193,186,163,120,90,34,14,-7,-25,-22,-46,-61,-76,-134,-174,-225,-282,-327,-402,
-460,-517,-569,-619,-621,-629,-599,-565,-522,-495,-460,-448,-404,-398,-366,-337,-298,-237,-179,-119,
-44,50,160,282,401,517,630,723,811,892,984,1053,1136,1247,1367,1473,1601,1755,1897,2064,
2236,2402,2562,2727,2893,3045,3196,3375,3541,3731,3941,4166,4382,4630,4870,5122,5363,5611,5859,6089,
6310,6530,6724,6939,7132,7341,7547,7755,7946,8156,8359,8549,8720,8858,9018,9143,9244,9339,9444,9525,
9584,9660,9724,9785,9842,9915,9967,10003,10048,10062,10060,10048,10043,10016,10009,9975,9963,9926,9891,9846,
9805,9749,9701,9658,9616,9533,9444,9344,9250,9125,9009,8895,8789,8669,8539,8404,8266,8087,7961,7802,
7648,7488,7304,7113,6918,6693,6484,6283,6067,5866,5663,5451,5220,4987,4757,4533,4314,4107,3867,3634,
3407,3166,2919,2670,2440,2229,2002,1788,1573,1347,1113,900,691,474,281,67,-150,-362,-586,-806,
-1024,-1230,-1425,-1615,-1808,-1998,-2210,-2415,-2615,-2822,-3006,-3206,-3415,-3609,-3816,-4040,-4239,-4457,-4634,-4810,
-4982,-5161,-5337,-5522,-5704,-5888,-6062,-6238,-6405,-6568,-6737,-6917,-7072,-7240,-7389,-7511,-7635,-7731,-7848,-7980,
-8092,-8208,-8325,-8440,-8544,-8664,-8744,-8854,-8951,-9056,-9136,-9206,-9253,-9307,-9348,-9408,-9463,-9507,-9572,-9623,
-9692,-9731,-9750,-9775,-9785,-9788,-9790,-9750,-9734,-9689,-9622,-9562,-9515,-9449,-9400,-9342,-9286,-9235,-9137,-9034,
-8926,-8809,-8685,-8557,-8411,-8268,-8120,-7975,-7839,-7706,-7569,-7471,-7344,-7221,-7085,-6924,-6773,-6605,-6436,-6247,
-6070,-5889,-5706,-5520,-5360,-5208,-5044,-4885,-4723,-4565,-4379,-4190,-3968,-3770,-3552,-3328,-3106,-2887,-2686,-2492,
-2309,-2146,-1990,-1855,-1715,-1568,-1416,-1275,-1107,-985,-839,-709,-591,-479,-404,-334,-268,-240,-228,-216,
-212,-203,-200,-151,-110,-83,-44,-10,7,29,41,37,49,36,12,-6,-26,-32,-19,0,
48,92,124,163,184,207,208,212,209,202,164,153,138,109,100,108,125,164,181,183,
195,188,185,148,142,137,128,108,116,135,161,211,290,378,470,567,672,767,864,955,
1048,1145,1279,1407,1564,1711,1878,2055,2246,2449,2671,2873,3078,3268,3449,3612,3774,3928,4102,4274,
4461,4653,4849,5036,5222,5433,5625,5804,5985,6164,6332,6476,6618,6746,6906,7030,7185,7371,7533,7720,
7885,8058,8214,8366,8476,8621,8739,8849,8948,9021,9110,9193,9256,9337,9417,9497,9566,9619,9648,9666,
9655,9651,9619,9589,9558,9507,9446,9383,9311,9239,9180,9119,9054,8978,8903,8797,8679,8561,8431,8304,
8186,8053,7926,7807,7677,7541,7413,7273,7163,7031,6899,6743,6583,6405,6233,6058,5864,5680,5502,5326,
5146,4956,4755,4564,4365,4182,3979,3775,3570,3346,3104,2866,2633,2412,2174,1959,1751,1544,1329,1105,
882,690,478,273,76,-143,-365,-580,-787,-1013,-1222,-1414,-1588,-1761,-1956,-2139,-2325,-2518,-2709,-2883,
-3051,-3228,-3427,-3617,-3819,-4012,-4202,-4384,-4562,-4724,-4876,-5048,-5226,-5410,-5576,-5751,-5923,-6072,-6235,-6414,
-6585,-6752,-6922,-7090,-7223,-7346,-7459,-7588,-7695,-7816,-7927,-8054,-8154,-8248,-8336,-8436,-8512,-8596,-8675,-8764,
-8823,-8863,-8889,-8920,-8945,-8997,-9018,-9048,-9094,-9122,-9151,-9179,-9191,-9203,-9220,-9231,-9244,-9223,-9189,-9160,
-9117,-9069,-9040,-9008,-8983,-8957,-8904,-8857,-8793,-8709,-8637,-8536,-8434,-8312,-8159,-8013,-7851,-7701,-7551,-7404,
-7255,-7120,-6953,-6783,-6622,-6421,-6227,-6032,-5842,-5644,-5430,-5207,-5005,-4806,-4628,-4469,-4311,-4168,-4024,-3867,
-3705,-3550,-3385,-3236,-3077,-2921,-2765,-2596,-2467,-2334,-2209,-2103,-2006,-1930,-1838,-1738,-1620,-1515,-1375,-1259,
-1143,-1037,-922,-793,-683,-596,-510,-455,-397,-365,-328,-284,-235,-181,-113,-60,0,33,70,99,
124,127,117,106,74,14,-37,-69,-93,-101,-90,-72,-63,-64,-64,-64,-72,-72,-92,-85,
-104,-106,-114,-114,-87,-33,24,95,187,269,335,417,472,535,590,644,716,774,847,915,
1000,1102,1218,1336,1473,1595,1719,1815,1927,2024,2110,2205,2318,2437,2557,2695,2831,2981,3161,3334,
3529,3726,3916,4107,4285,4464,4641,4799,4990,5174,5392,5589,5809,6019,6254,6461,6678,6882,7085,7286,
7445,7602,7753,7875,8003,8142,8274,8404,8523,8659,8780,8878,8964,9059,9123,9195,9252,9293,9325,9343,
9361,9372,9376,9405,9426,9447,9480,9489,9478,9477,9450,9427,9402,9367,9324,9276,9199,9140,9067,8990,
8914,8848,8783,8720,8617,8505,8388,8252,8135,8000,7851,7717,7558,7394,7237,7071,6880,6716,6553,6407,
6236,6046,5860,5656,5466,5256,5067,4873,4680,4469,4275,4061,3849,3643,3447,3264,3075,2885,2675,2467,
2252,2026,1812,1599,1400,1185,987,763,538,320,89,-117,-302,-505,-708,-922,-1157,-1375,-1602,-1830,
-2036,-2246,-2448,-2656,-2875,-3082,-3300,-3502,-3683,-3868,-4069,-4245,-4437,-4637,-4838,-5046,-5225,-5406,-5562,-5735,
-5901,-6063,-6229,-6386,-6536,-6670,-6818,-6952,-7091,-7237,-7387,-7552,-7695,-7815,-7933,-8045,-8145,-8259,-8366,-8492,
-8590,-8684,-8782,-8859,-8937,-9028,-9107,-9210,-9294,-9363,-9418,-9450,-9468,-9500,-9522,-9546,-9560,-9576,-9567,-9557,
-9533,-9524,-9488,-9477,-9445,-9401,-9323,-9241,-9140,-9030,-8917,-8813,-8719,-8613,-8500,-8384,-8270,-8139,-8020,-7899,
-7766,-7637,-7481,-7322,-7154,-6969,-6805,-6642,-6486,-6351,-6210,-6068,-5926,-5747,-5604,-5448,-5295,-5128,-4954,-4756,
-4551,-4344,-4153,-3963,-3777,-3624,-3459,-3304,-3157,-2989,-2820,-2650,-2482,-2326,-2163,-1977,-1809,-1632,-1461,-1321,
-1205,-1113,-1025,-962,-898,-839,-765,-693,-622,-553,-508,-432,-380,-319,-278,-242,-230,-235,-263,-286,
-310,-340,-334,-335,-315,-302,-308,-284,-261,-252,-229,-231,-226,-239,-271,-314,-334,-362,-363,-354,
-342,-318,-284,-271,-252,-238,-235,-230,-236,-231,-262,-283,-292,-309,-312,-287,-251,-191,-137,-84,
-29,38,81,148,197,268,326,387,475,566,667,789,936,1112,1294,1468,1649,1841,1985,2159,
2333,2493,2665,2844,3022,3221,3411,3600,3827,4044,4278,4497,4720,4938,5132,5301,5451,5630,5807,5988,
6157,6349,6531,6711,6913,7109,7293,7497,7680,7875,8045,8183,8319,8449,8570,8703,8828,8978,9109,9238,
9363,9480,9584,9686,9778,9868,9944,10000,10031,10048,10035,10034,10032,10030,10029,10016,9997,9966,9918,9869,
9800,9732,9658,9577,9471,9363,9236,9110,8976,8859,8731,8641,8516,8408,8276,8136,7983,7834,7700,7549,
7394,7239,7071,6904,6719,6537,6365,6213,6038,5886,5715,5522,5335,5130,4938,4745,4542,4336,4135,3922,
3706,3474,3254,3040,2842,2637,2438,2225,2013,1765,1535,1311,1100,874,660,441,219,-15,-245,-467,
-667,-874,-1062,-1267,-1465,-1685,-1896,-2118,-2314,-2519,-2703,-2896,-3107,-3300,-3500,-3696,-3886,-4065,-4236,-4407,
-4594,-4777,-4980,-5177,-5365,-5551,-5732,-5892,-6060,-6233,-6402,-6576,-6739,-6905,-7061,-7197,-7339,-7483,-7649,-7796,
-7959,-8106,-8240,-8353,-8463,-8551,-8663,-8770,-8864,-8954,-9042,-9107,-9173,-9237,-9301,-9376,-9449,-9501,-9558,-9599,
-9604,-9628,-9616,-9639,-9647,-9644,-9652,-9659,-9626,-9609,-9592,-9581,-9564,-9541,-9507,-9480,-9407,-9321,-9228,-9140,
-9044,-8951,-8865,-8767,-8654,-8527,-8409,-8284,-8165,-8031,-7884,-7732,-7550,-7349,-7135,-6925,-6719,-6519,-6323,-6132,
-5952,-5760,-5569,-5376,-5201,-5009,-4822,-4632,-4440,-4229,-4012,-3806,-3607,-3429,-3258,-3112,-2987,-2852,-2728,-2588,
-2465,-2333,-2207,-2071,-1948,-1805,-1656,-1498,-1369,-1257,-1144,-1055,-981,-915,-847,-767,-677,-599,-519,-423,
-344,-257,-164,-81,2,50,89,124,114,107,107,96,101,95,89,111,110,111,124,112,
113,99,68,37,-20,-90,-137,-192,-211,-226,-241,-230,-214,-197,-174,-166,-141,-124,-100,-86,
-69,-61,-51,-29,16,71,136,230,336,432,529,619,701,789,868,944,1030,1106,1178,1268,
1355,1470,1605,1747,1917,2078,2238,2377,2518,2662,2796,2938,3090,3254,3415,3586,3755,3939,4133,4356,
4588,4822,5052,5270,5471,5678,5869,6041,6228,6437,6627,6823,7018,7205,7383,7572,7755,7955,8132,8293,
8439,8559,8665,8758,8848,8952,9055,9137,9227,9299,9379,9428,9493,9556,9623,9666,9713,9724,9729,9714,
9687,9685,9685,9672,9660,9652,9625,9593,9540,9498,9458,9396,9345,9276,9188,9080,8968,8844,8737,8620,
8508,8408,8274,8142,7992,7835,7692,7533,7388,7228,7060,6889,6691,6491,6295,6119,5941,5773,5591,5411,
5217,5024,4823,4639,4449,4259,4073,3879,3675,3470,3261,3051,2862,2672,2485,2296,2106,1887,1692,1483,
1271,1072,880,678,475,251,22,-189,-408,-617,-812,-1024,-1205,-1419,-1639,-1840,-2049,-2274,-2459,-2659,
-2857,-3051,-3257,-3460,-3645,-3847,-4028,-4208,-4379,-4547,-4731,-4911,-5082,-5261,-5431,-5591,-5739,-5908,-6069,-6213,
-6361,-6529,-6671,-6801,-6934,-7048,-7188,-7316,-7456,-7596,-7735,-7867,-7985,-8090,-8207,-8312,-8424,-8518,-8643,-8713,
-8803,-8876,-8952,-9029,-9106,-9189,-9270,-9328,-9390,-9419,-9452,-9473,-9483,-9490,-9496,-9488,-9464,-9448,-9415,-9383,
-9342,-9309,-9274,-9243,-9174,-9113,-9018,-8927,-8815,-8706,-8604,-8506,-8400,-8276,-8162,-8051,-7938,-7836,-7716,-7615,
-7497,-7366,-7227,-7063,-6898,-6719,-6542,-6399,-6239,-6090,-5932,-5770,-5623,-5463,-5304,-5160,-5000,-4809,-4640,-4441,
-4238,-4024,-3803,-3634,-3457,-3286,-3145,-2987,-2858,-2699,-2564,-2439,-2317,-2184,-2051,-1910,-1779,-1632,-1501,-1397,
-1319,-1240,-1197,-1147,-1112,-1080,-1034,-993,-971,-928,-889,-840,-786,-735,-675,-628,-608,-602,-597,-605,
-617,-622,-605,-572,-572,-534,-496,-462,-423,-398,-350,-319,-310,-298,-293,-305,-328,-349,-353,-345,
-330,-307,-268,-243,-220,-182,-154,-122,-90,-82,-68,-65,-60,-52,-30,25,102,186,283,387,
492,597,708,822,940,1057,1163,1290,1392,1515,1653,1801,1986,2175,2374,2592,2760,2947,3134,3314,
3492,3676,3851,4022,4183,4355,4509,4688,4878,5098,5278,5503,5698,5875,6051,6205,6363,6524,6680,6846,
7003,7146,7291,7441,7589,7770,7935,8110,8270,8424,8556,8662,8777,8878,8974,9058,9163,9244,9316,9379,
9441,9508,9574,9625,9681,9712,9726,9722,9693,9666,9643,9587,9573,9534,9498,9430,9368,9295,9229,9155,
9090,9015,8933,8832,8717,8590,8478,8343,8234,8120,8003,7875,7742,7610,7479,7326,7185,7055,6909,6766,
6591,6421,6230,6057,5864,5696,5515,5349,5157,4962,4767,4577,4372,4188,3985,3797,3582,3364,3141,2918,
2689,2479,2271,2065,1857,1639,1432,1226,989,788,581,373,172,-44,-260,-481,-701,-902,-1098,-1297,
-1483,-1693,-1881,-2072,-2274,-2478,-2660,-2854,-3047,-3243,-3435,-3620,-3823,-4022,-4203,-4377,-4548,-4718,-4893,-5058,
-5225,-5420,-5596,-5769,-5946,-6100,-6272,-6441,-6594,-6750,-6903,-7044,-7179,-7291,-7415,-7522,-7636,-7767,-7886,-7999,
-8097,-8199,-8280,-8368,-8447,-8520,-8589,-8647,-8703,-8737,-8762,-8795,-8804,-8847,-8892,-8913,-8956,-8961,-8983,-8986,
-8968,-8947,-8938,-8914,-8874,-8833,-8787,-8727,-8664,-8603,-8567,-8510,-8462,-8385,-8313,-8222,-8111,-7994,-7866,-7736,
-7586,-7447,-7289,-7131,-6971,-6801,-6645,-6506,-6340,-6209,-6036,-5860,-5666,-5465,-5256,-5058,-4850,-4660,-4469,-4297,
-4123,-3949,-3776,-3637,-3496,-3350,-3213,-3076,-2936,-2761,-2591,-2427,-2272,-2135,-2001,-1892,-1786,-1687,-1582,-1502,
-1408,-1319,-1243,-1156,-1078,-968,-845,-715,-626,-524,-450,-398,-364,-311,-285,-248,-235,-201,-179,-145,
-118,-104,-63,-31,10,42,39,13,-28,-74,-112,-160,-199,-244,-264,-288,-317,-328,-342,-327,
-327,-324,-333,-354,-385,-426,-460,-478,-486,-482,-439,-413,-372,-337,-281,-211,-152,-82,-19,34,
84,119,160,203,275,345,455,550,666,777,877,1012,1139,1250,1377,1505,1603,1714,1800,1917,
2036,2165,2336,2518,2694,2888,3061,3250,3446,3627,3822,4013,4196,4383,4551,4733,4917,5107,5315,5556,
5785,6004,6214,6419,6602,6789,6941,7115,7284,7439,7571,7698,7825,7955,8073,8220,8362,8484,8585,8681,
8749,8831,8877,8934,8982,9028,9054,9071,9104,9102,9123,9137,9153,9184,9188,9170,9152,9118,9077,9029,
8984,8928,8887,8803,8732,8663,8566,8484,8420,8320,8250,8141,8026,7899,7770,7606,7485,7335,7194,7045,
6900,6745,6575,6401,6255,6087,5925,5756,5586,5398,5214,5026,4819,4633,4440,4266,4062,3876,3696,3500,
3304,3118,2923,2734,2533,2347,2166,1939,1727,1523,1304,1107,911,713,515,314,105,-111,-314,-509,
-728,-921,-1129,-1327,-1564,-1772,-1987,-2183,-2380,-2593,-2779,-2977,-3183,-3369,-3569,-3759,-3944,-4132,-4316,-4494,
-4683,-4878,-5057,-5238,-5405,-5579,-5737,-5885,-6042,-6210,-6368,-6518,-6673,-6819,-6956,-7110,-7245,-7391,-7517,-7660,
-7787,-7925,-8035,-8132,-8240,-8347,-8439,-8549,-8663,-8760,-8868,-8942,-9035,-9116,-9189,-9265,-9324,-9388,-9428,-9450,
-9464,-9484,-9498,-9513,-9536,-9544,-9552,-9537,-9516,-9489,-9444,-9400,-9348,-9275,-9202,-9117,-9010,-8897,-8810,-8697,
-8607,-8510,-8420,-8314,-8189,-8052,-7931,-7770,-7626,-7459,-7317,-7151,-6972,-6788,-6619,-6437,-6299,-6128,-5996,-5842,
-5673,-5498,-5309,-5104,-4894,-4694,-4480,-4285,-4076,-3864,-3661,-3466,-3275,-3108,-2933,-2780,-2614,-2425,-2244,-2050,
-1840,-1659,-1466,-1298,-1151,-997,-857,-757,-631,-531,-440,-364,-295,-214,-126,-38,53,151,232,291,
327,375,402,402,418,430,429,436,416,426,446,454,487,535,560,575,594,587,581,553,
521,506,487,477,455,444,441,450,456,476,493,522,516,503,471,452,409,384,365,367,
367,367,380,418,447,505,548,606,648,705,733,779,813,854,914,1022,1104,1197,1329,1463,
1599,1736,1909,2063,2224,2372,2519,2660,2799,2932,3084,3248,3438,3623,3809,4012,4203,4394,4595,4790,
4982,5156,5327,5480,5638,5789,5949,6114,6310,6500,6676,6866,7071,7230,7401,7577,7737,7897,8035,8160,
8307,8418,8526,8660,8784,8923,9056,9182,9291,9399,9464,9555,9610,9668,9718,9743,9772,9776,9764,9781,
9773,9764,9763,9745,9719,9691,9614,9568,9498,9419,9330,9242,9156,9058,8937,8823,8708,8612,8496,8386,
8268,8151,8023,7876,7737,7578,7424,7264,7115,6946,6795,6612,6440,6264,6108,5927,5768,5596,5405,5216,
5013,4798,4590,4384,4179,3974,3765,3548,3329,3104,2901,2687,2469,2262,2056,1826,1596,1382,1145,916,
690,460,246,24,-203,-412,-633,-840,-1049,-1263,-1449,-1662,-1883,-2079,-2295,-2500,-2724,-2920,-3125,-3303,
-3504,-3695,-3896,-4087,-4277,-4466,-4647,-4818,-5015,-5200,-5393,-5585,-5782,-5968,-6140,-6302,-6478,-6644,-6806,-6968,
-7127,-7292,-7446,-7580,-7731,-7881,-8026,-8174,-8317,-8451,-8577,-8686,-8777,-8877,-8972,-9063,-9159,-9250,-9344,-9405,
-9473,-9550,-9602,-9678,-9740,-9803,-9851,-9867,-9884,-9890,-9906,-9901,-9906,-9912,-9927,-9936,-9913,-9908,-9901,-9869,
-9845,-9809,-9759,-9711,-9626,-9565,-9454,-9356,-9256,-9164,-9079,-8988,-8881,-8766,-8644,-8505,-8367,-8215,-8066,-7890,
-7712,-7521,-7331,-7121,-6929,-6734,-6567,-6390,-6221,-6058,-5900,-5712,-5522,-5324,-5140,-4936,-4732,-4535,-4356,-4155,
-3973,-3803,-3662,-3518,-3375,-3245,-3109,-2982,-2830,-2668,-2511,-2360,-2205,-2056,-1920,-1791,-1657,-1548,-1436,-1346,
-1267,-1178,-1104,-1024,-925,-823,-717,-622,-523,-433,-358,-290,-246,-197,-174,-146,-147,-142,-120,-118,
-109,-73,-54,-22,3,29,49,38,34,17,-3,-29,-55,-64,-64,-85,-88,-56,-35,17,
60,100,155,195,201,231,249,282,302,349,399,466,530,620,708,836,928,1041,1143,1233,
1303,1385,1464,1562,1641,1741,1847,1983,2111,2250,2412,2566,2731,2883,3056,3205,3353,3495,3644,3784,
3947,4115,4303,4500,4702,4906,5119,5325,5550,5755,5947,6145,6334,6501,6676,6839,7011,7179,7364,7548,
7738,7892,8060,8238,8379,8520,8652,8776,8887,8971,9061,9130,9190,9268,9345,9421,9503,9574,9632,9681,
9717,9756,9769,9786,9799,9794,9769,9746,9717,9706,9679,9654,9635,9604,9555,9515,9447,9394,9311,9228,
9137,9050,8931,8825,8704,8579,8460,8333,8223,8092,7949,7809,7668,7518,7345,7163,7011,6846,6652,6466,
6300,6112,5926,5745,5558,5399,5219,5023,4841,4649,4455,4241,4041,3860,3664,3451,3272,3052,2866,2662,
2463,2275,2095,1885,1705,1495,1291,1068,852,642,448,230,33,-175,-387,-606,-813,-1006,-1196,-1397,
-1604,-1805,-2015,-2228,-2443,-2653,-2829,-3028,-3222,-3415,-3611,-3792,-3994,-4163,-4343,-4503,-4676,-4848,-5028,-5201,
-5386,-5556,-5726,-5870,-6037,-6171,-6326,-6456,-6616,-6763,-6883,-7017,-7146,-7275,-7409,-7538,-7668,-7808,-7938,-8038,
-8153,-8247,-8338,-8435,-8520,-8605,-8691,-8763,-8839,-8898,-8962,-9031,-9094,-9165,-9209,-9247,-9271,-9281,-9281,-9266,
-9238,-9243,-9228,-9196,-9170,-9138,-9093,-9044,-9013,-8950,-8902,-8836,-8743,-8664,-8546,-8437,-8317,-8201,-8084,-7965,
-7848,-7739,-7619,-7506,-7384,-7260,-7123,-6987,-6824,-6673,-6507,-6324,-6146,-5969,-5796,-5627,-5458,-5302,-5156,-4988,
-4837,-4649,-4498,-4317,-4124,-3929,-3736,-3527,-3344,-3141,-2970,-2797,-2641,-2503,-2368,-2238,-2115,-1973,-1849,-1723,
-1573,-1436,-1311,-1196,-1078,-968,-887,-813,-735,-682,-646,-616,-582,-555,-513,-465,-410,-357,-302,-269,
-223,-194,-171,-172,-154,-150,-152,-171,-171,-174,-155,-145,-127,-77,-47,-14,13,23,29,18,
5,-4,-13,-31,-39,-32,-30,-24,7,42,95,121,154,191,196,212,223,207,253,274,
313,367,434,508,587,691,813,928,1034,1156,1264,1364,1464,1566,1699,1834,1961,2118,2280,2452,
2637,2820,3009,3205,3387,3570,3755,3919,4077,4228,4403,4582,4750,4948,5136,5318,5524,5705,5908,6096,
6282,6453,6614,6765,6917,7037,7184,7340,7502,7646,7791,7939,8086,8222,8364,8490,8635,8720,8824,8911,
8992,9051,9112,9177,9250,9298,9355,9390,9432,9456,9471,9498,9507,9490,9464,9439,9383,9335,9272,9215,
9162,9091,9025,8960,8883,8806,8707,8611,8527,8427,8315,8196,8073,7942,7810,7678,7551,7432,7301,7167,
7025,6892,6735,6579,6432,6262,6084,5928,5742,5562,5375,5185,5004,4827,4636,4460,4282,4082,3886,3677,
3476,3267,3067,2862,2661,2442,2226,2001,1794,1587,1394,1191,1001,797,579,357,148,-48,-263,-470,
-671,-887,-1095,-1310,-1526,-1730,-1930,-2126,-2311,-2498,-2710,-2909,-3124,-3319,-3515,-3722,-3909,-4096,-4285,-4489,
-4686,-4859,-5037,-5220,-5384,-5550,-5714,-5890,-6069,-6235,-6409,-6568,-6728,-6870,-7022,-7162,-7316,-7454,-7577,-7704,
-7835,-7936,-8063,-8173,-8290,-8409,-8519,-8619,-8731,-8819,-8903,-8980,-9071,-9156,-9222,-9276,-9340,-9383,-9427,-9476,
-9516,-9571,-9619,-9647,-9693,-9716,-9699,-9702,-9686,-9676,-9661,-9622,-9585,-9538,-9485,-9438,-9377,-9334,-9277,-9204,
-9129,-9042,-8939,-8823,-8695,-8564,-8424,-8275,-8137,-7990,-7844,-7692,-7545,-7400,-7254,-7104,-6943,-6768,-6592,-6404,
-6206,-6021,-5821,-5606,-5414,-5229,-5044,-4862,-4689,-4523,-4369,-4199,-4017,-3846,-3669,-3486,-3294,-3108,-2930,-2755,
-2569,-2413,-2264,-2131,-2001,-1873,-1761,-1641,-1515,-1388,-1261,-1123,-998,-867,-752,-630,-524,-428,-348,-267,
-218,-162,-121,-82,-28,39,82,144,211,268,300,337,368,385,401,401,391,367,351,335,
322,326,330,338,362,363,383,375,366,355,354,337,328,327,307,300,315,320,372,397,
454,503,559,591,641,675,732,764,803,852,901,964,1036,1122,1225,1322,1441,1569,1682,1795,
1898,2004,2119,2221,2327,2447,2570,2698,2841,3003,3171,3346,3521,3711,3893,4074,4234,4406,4579,4745,
4902,5073,5240,5426,5604,5791,5987,6176,6371,6559,6743,6918,7076,7233,7383,7522,7659,7792,7931,8064,
8204,8325,8451,8585,8714,8833,8940,9032,9116,9185,9258,9326,9392,9429,9487,9526,9564,9593,9631,9649,
9678,9675,9697,9673,9647,9605,9552,9500,9460,9392,9333,9257,9181,9097,9001,8910,8821,8722,8626,8514,
8388,8260,8113,7979,7851,7689,7562,7423,7269,7120,6963,6808,6656,6495,6342,6189,6016,5846,5660,5470,
5283,5119,4931,4772,4589,4409,4201,4011,3830,3626,3428,3242,3035,2834,2613,2390,2173,1967,1754,1559,
1356,1147,939,717,502,296,86,-123,-337,-541,-757,-973,-1201,-1408,-1612,-1810,-2004,-2213,-2399,-2605,
-2796,-3002,-3201,-3395,-3587,-3784,-3969,-4167,-4370,-4565,-4739,-4929,-5104,-5276,-5443,-5616,-5790,-5957,-6133,-6306,
-6462,-6618,-6771,-6935,-7090,-7236,-7393,-7536,-7658,-7774,-7897,-8013,-8133,-8252,-8381,-8495,-8608,-8712,-8823,-8911,
-9017,-9102,-9196,-9282,-9345,-9397,-9457,-9497,-9558,-9612,-9657,-9706,-9745,-9783,-9805,-9827,-9831,-9846,-9839,-9819,
-9793,-9756,-9710,-9657,-9609,-9561,-9505,-9438,-9386,-9324,-9227,-9145,-9050,-8946,-8829,-8705,-8571,-8439,-8297,-8136,
-7992,-7846,-7709,-7564,-7423,-7286,-7135,-6981,-6820,-6649,-6481,-6300,-6118,-5931,-5739,-5567,-5388,-5218,-5048,-4897,
-4727,-4589,-4424,-4269,-4098,-3932,-3765,-3587,-3404,-3236,-3056,-2888,-2739,-2593,-2446,-2330,-2201,-2083,-1969,-1843,
-1721,-1601,-1485,-1352,-1232,-1111,-1009,-896,-807,-735,-676,-618,-567,-523,-486,-428,-389,-327,-283,-230,
-177,-131,-97,-70,-39,-24,-25,-30,-23,-30,-25,-19,-1,11,45,68,106,114,146,162,
196,192,212,213,225,229,253,278,325,371,429,482,547,608,677,724,788,840,896,943,
1011,1071,1143,1226,1334,1436,1553,1671,1798,1918,2045,2175,2300,2431,2555,2672,2804,2936,3080,3245,
3401,3576,3751,3933,4102,4288,4465,4640,4804,4978,5138,5295,5436,5598,5775,5943,6107,6292,6466,6643,
6807,6963,7128,7278,7419,7560,7693,7810,7919,8039,8161,8288,8413,8535,8654,8760,8856,8955,9031,9116,
9185,9242,9289,9347,9372,9395,9427,9461,9476,9496,9518,9519,9523,9491,9456,9425,9387,9320,9279,9209,
9140,9047,8963,8876,8791,8696,8606,8513,8400,8282,8155,8024,7888,7754,7628,7480,7346,7187,7034,6884,
6738,6589,6435,6304,6142,5987,5813,5643,5469,5295,5121,4949,4780,4600,4405,4221,4040,3856,3665,3496,
3296,3105,2905,2693,2476,2269,2055,1850,1638,1442,1232,1019,789,594,379,174,-29,-232,-435,-656,
-873,-1077,-1290,-1488,-1695,-1888,-2080,-2273,-2475,-2665,-2847,-3038,-3214,-3394,-3586,-3778,-3968,-4153,-4347,-4545,
-4702,-4875,-5036,-5208,-5382,-5545,-5707,-5872,-6024,-6182,-6336,-6501,-6652,-6811,-6955,-7109,-7245,-7378,-7498,-7622,
-7738,-7849,-7950,-8069,-8172,-8275,-8367,-8464,-8556,-8649,-8737,-8804,-8887,-8942,-8997,-9040,-9072,-9112,-9145,-9169,
-9209,-9215,-9250,-9262,-9265,-9272,-9268,-9256,-9254,-9223,-9184,-9127,-9070,-9013,-8950,-8875,-8814,-8741,-8670,-8594,
-8506,-8419,-8319,-8207,-8098,-7967,-7833,-7688,-7543,-7382,-7230,-7073,-6929,-6781,-6624,-6490,-6330,-6174,-6008,-5841,
-5683,-5516,-5318,-5144,-4950,-4759,-4580,-4402,-4228,-4071,-3903,-3753,-3594,-3440,-3286,-3133,-2967,-2817,-2650,-2495,
-2334,-2182,-2042,-1911,-1784,-1681,-1575,-1484,-1401,-1306,-1217,-1130,-1037,-952,-867,-784,-698,-619,-563,-511,
-463,-429,-399,-375,-360,-324,-314,-288,-257,-226,-202,-160,-132,-105,-82,-85,-77,-84,-98,-110,
-130,-136,-148,-145,-145,-130,-118,-113,-90,-77,-71,-66,-73,-74,-79,-78,-64,-57,-31,1,
41,89,156,208,273,335,414,464,533,597,669,736,819,902,1010,1122,1242,1369,1503,1630,
1777,1922,2060,2192,2326,2466,2605,2742,2898,3042,3198,3375,3550,3732,3917,4097,4285,4474,4649,4815,
4982,5150,5321,5484,5653,5834,6012,6197,6371,6557,6733,6916,7089,7263,7418,7573,7709,7839,7973,8109,
8226,8361,8473,8598,8711,8818,8917,9015,9106,9184,9252,9301,9348,9384,9405,9428,9442,9458,9467,9478,
9482,9469,9456,9438,9406,9367,9329,9274,9214,9134,9056,8976,8892,8802,8728,8630,8541,8442,8338,8223,
8105,7981,7865,7730,7593,7446,7308,7144,6998,6835,6689,6528,6377,6211,6044,5859,5695,5511,5331,5151,
4957,4768,4571,4368,4168,3964,3757,3560,3364,3163,2950,2735,2523,2309,2087,1896,1667,1450,1235,1013,
800,573,352,151,-62,-267,-465,-677,-889,-1098,-1316,-1523,-1719,-1912,-2119,-2317,-2517,-2711,-2913,-3101,
-3281,-3466,-3645,-3828,-4005,-4190,-4383,-4574,-4733,-4913,-5087,-5256,-5427,-5596,-5762,-5938,-6091,-6243,-6391,-6545,
-6692,-6835,-6983,-7142,-7281,-7425,-7553,-7688,-7798,-7927,-8035,-8159,-8261,-8356,-8447,-8539,-8626,-8704,-8784,-8865,
-8941,-9010,-9072,-9127,-9167,-9201,-9232,-9268,-9290,-9305,-9305,-9316,-9316,-9314,-9309,-9298,-9297,-9268,-9256,-9213,
-9167,-9109,-9045,-8973,-8915,-8820,-8750,-8666,-8573,-8474,-8378,-8274,-8173,-8060,-7942,-7828,-7684,-7537,-7381,-7221,
-7069,-6913,-6752,-6597,-6435,-6283,-6124,-5961,-5797,-5645,-5482,-5311,-5141,-4953,-4768,-4580,-4410,-4230,-4063,-3898,
-3740,-3578,-3436,-3280,-3133,-2990,-2831,-2694,-2529,-2380,-2211,-2060,-1908,-1766,-1625,-1499,-1381,-1277,-1164,-1068,
-964,-879,-783,-689,-595,-504,-402,-318,-234,-176,-119,-72,-37,-17,14,29,55,60,72,103,
122,148,171,195,215,232,226,237,223,223,210,206,202,213,212,234,252,276,313,344,
364,398,420,435,444,458,476,498,515,561,597,642,694,757,819,891,955,1007,1067,1130,
1183,1232,1299,1368,1447,1532,1629,1738,1853,1975,2098,2227,2350,2484,2621,2744,2882,3010,3147,3286,
3445,3606,3780,3946,4134,4309,4494,4680,4860,5035,5209,5369,5538,5693,5848,5999,6157,6316,6475,6639,
6806,6975,7119,7275,7409,7537,7661,7777,7885,7993,8087,8183,8278,8366,8457,8553,8639,8736,8816,8891,
8951,8999,9025,9060,9084,9106,9118,9124,9133,9134,9120,9115,9108,9095,9071,9041,8994,8937,8868,8794,
8702,8615,8525,8427,8336,8229,8118,8009,7891,7779,7661,7533,7412,7268,7114,6976,6809,6642,6494,6327,
6171,6014,5860,5700,5535,5353,5203,5025,4861,4677,4486,4300,4109,3902,3701,3507,3308,3124,2924,2735,
2538,2324,2118,1928,1718,1512,1300,1089,872,646,426,212,-8,-216,-413,-613,-809,-1020,-1233,-1423,
-1635,-1832,-2026,-2229,-2430,-2626,-2830,-3027,-3226,-3409,-3585,-3756,-3939,-4110,-4287,-4474,-4655,-4823,-4996,-5167,
-5340,-5504,-5681,-5846,-6007,-6166,-6319,-6466,-6607,-6740,-6891,-7040,-7181,-7327,-7468,-7594,-7717,-7846,-7968,-8088,
-8203,-8316,-8412,-8512,-8582,-8666,-8742,-8825,-8895,-8982,-9048,-9111,-9161,-9209,-9238,-9277,-9300,-9330,-9346,-9356,
-9356,-9346,-9327,-9337,-9316,-9299,-9291,-9273,-9247,-9213,-9156,-9102,-9044,-8988,-8924,-8849,-8766,-8680,-8589,-8494,
-8405,-8311,-8226,-8127,-8018,-7910,-7771,-7631,-7494,-7344,-7197,-7040,-6878,-6722,-6548,-6386,-6226,-6065,-5904,-5751,
-5581,-5406,-5227,-5034,-4841,-4649,-4463,-4286,-4104,-3927,-3760,-3585,-3432,-3285,-3140,-3004,-2866,-2722,-2572,-2426,
-2274,-2139,-1995,-1874,-1748,-1634,-1534,-1433,-1340,-1258,-1173,-1111,-1028,-955,-862,-778,-672,-584,-509,-438,
-377,-302,-252,-210,-162,-136,-99,-78,-47,-21,17,63,107,145,187,209,230,244,248,246,
243,247,244,234,223,236,242,267,298,334,362,393,412,435,448,473,490,524,544,594,
632,692,751,835,918,1010,1107,1207,1290,1387,1471,1553,1641,1737,1839,1944,2061,2180,2313,2444,
2587,2735,2883,3025,3168,3304,3437,3567,3692,3826,3969,4116,4273,4435,4601,4764,4946,5117,5297,5466,
5637,5803,5967,6126,6284,6423,6590,6737,6920,7082,7255,7417,7587,7742,7892,8030,8167,8300,8404,8506,
8610,8690,8781,8862,8948,9025,9092,9174,9236,9288,9323,9356,9365,9382,9390,9388,9373,9353,9333,9309,
9274,9255,9228,9196,9169,9128,9074,9018,8938,8869,8788,8705,8617,8524,8419,8329,8215,8102,7991,7880,
7771,7658,7528,7388,7243,7082,6936,6775,6606,6447,6278,6107,5937,5761,5569,5386,5212,5040,4858,4665,
4469,4260,4066,3852,3655,3451,3259,3050,2855,2643,2435,2223,2022,1825,1625,1430,1220,1011,799,576,
361,150,-55,-258,-453,-667,-875,-1085,-1302,-1501,-1700,-1897,-2090,-2298,-2515,-2713,-2925,-3133,-3331,-3523,
-3711,-3901,-4099,-4287,-4483,-4675,-4848,-5025,-5210,-5373,-5547,-5722,-5899,-6081,-6248,-6406,-6554,-6695,-6849,-6986,
-7132,-7271,-7412,-7539,-7671,-7784,-7908,-8026,-8144,-8270,-8383,-8481,-8573,-8651,-8729,-8809,-8885,-8970,-9041,-9112,
-9177,-9223,-9272,-9324,-9352,-9398,-9433,-9458,-9473,-9470,-9452,-9443,-9429,-9418,-9400,-9382,-9345,-9310,-9248,-9202,
-9126,-9070,-8997,-8916,-8818,-8713,-8597,-8472,-8344,-8222,-8110,-7989,-7864,-7730,-7597,-7449,-7304,-7151,-6992,-6840,
-6673,-6505,-6332,-6152,-5985,-5820,-5659,-5513,-5364,-5218,-5065,-4886,-4737,-4566,-4401,-4232,-4063,-3888,-3710,-3538,
-3375,-3217,-3058,-2925,-2787,-2655,-2530,-2387,-2247,-2100,-1958,-1824,-1695,-1557,-1433,-1302,-1184,-1079,-1005,-932,
-867,-815,-763,-711,-652,-589,-528,-471,-430,-376,-341,-302,-281,-264,-251,-259,-273,-283,-301,-309,
-297,-291,-262,-249,-244,-231,-216,-208,-189,-196,-188,-193,-208,-223,-222,-225,-199,-180,-148,-105,
-61,-36,1,29,58,76,99,135,146,175,211,247,294,362,428,521,607,694,775,867,
952,1041,1122,1224,1318,1421,1542,1668,1804,1952,2110,2293,2476,2648,2828,3013,3164,3340,3508,3674,
3850,4026,4209,4405,4594,4786,4994,5193,5404,5592,5790,5978,6155,6311,6451,6611,6771,6932,7080,7249,
7405,7560,7727,7881,8026,8178,8313,8455,8577,8679,8776,8864,8951,9043,9126,9220,9302,9385,9467,9527,
9583,9632,9670,9700,9731,9741,9738,9719,9686,9654,9616,9582,9548,9504,9453,9395,9322,9245,9151,9057,
8956,8855,8733,8615,8477,8343,8199,8069,7927,7812,7675,7550,7400,7247,7080,6916,6762,6596,6431,6268,
6088,5914,5726,5539,5358,5191,5006,4842,4660,4466,4272,4066,3869,3665,3463,3259,3060,2853,2642,2418,
2202,1990,1789,1587,1392,1182,975,744,522,301,95,-120,-327,-534,-743,-958,-1176,-1389,-1587,-1785,
-1970,-2171,-2357,-2566,-2768,-2974,-3169,-3360,-3537,-3724,-3912,-4091,-4282,-4464,-4645,-4820,-4980,-5143,-5318,-5486,
-5667,-5846,-6018,-6186,-6347,-6493,-6639,-6788,-6935,-7085,-7230,-7376,-7515,-7634,-7760,-7880,-8018,-8138,-8272,-8394,
-8504,-8591,-8679,-8745,-8834,-8911,-8983,-9055,-9123,-9170,-9222,-9261,-9302,-9345,-9387,-9412,-9444,-9453,-9440,-9436,
-9403,-9395,-9378,-9355,-9340,-9318,-9268,-9228,-9180,-9136,-9085,-9031,-8965,-8900,-8804,-8700,-8583,-8475,-8360,-8251,
-8146,-8036,-7907,-7776,-7640,-7502,-7365,-7215,-7059,-6896,-6714,-6521,-6317,-6116,-5923,-5732,-5550,-5375,-5200,-5022,
-4844,-4658,-4482,-4300,-4120,-3941,-3757,-3568,-3376,-3191,-3014,-2855,-2707,-2575,-2456,-2335,-2222,-2090,-1978,-1854,
-1738,-1614,-1503,-1378,-1259,-1128,-1026,-937,-848,-778,-721,-662,-610,-542,-470,-401,-336,-258,-195,-124,
-57,4,64,94,118,142,133,129,132,123,134,136,136,157,166,170,184,174,180,169,
149,130,96,51,29,-2,-1,4,8,32,66,95,129,147,182,211,244,276,308,339,
375,417,481,554,635,739,852,960,1066,1166,1259,1358,1453,1545,1642,1741,1837,1949,2057,2190,
2334,2488,2658,2818,2983,3125,3270,3421,3558,3705,3854,4018,4182,4355,4518,4699,4881,5088,5297,5505,
5710,5907,6085,6267,6436,6589,6752,6933,7099,7274,7443,7607,7759,7915,8067,8228,8368,8502,8617,8710,
8794,8868,8933,9012,9088,9151,9218,9266,9323,9351,9390,9421,9457,9473,9496,9483,9468,9435,9392,9368,
9343,9310,9280,9247,9202,9150,9081,9016,8954,8871,8803,8714,8614,8496,8374,8243,8122,7995,7872,7758,
7617,7478,7322,7160,7007,6841,6688,6522,6350,6176,5979,5780,5585,5405,5225,5053,4866,4687,4491,4296,
4095,3907,3713,3521,3331,3137,2936,2734,2525,2316,2124,1936,1746,1555,1366,1153,957,748,541,342,
149,-50,-248,-464,-682,-888,-1101,-1302,-1494,-1701,-1879,-2086,-2296,-2491,-2693,-2909,-3089,-3285,-3473,-3658,
-3852,-4045,-4226,-4416,-4589,-4764,-4928,-5090,-5265,-5434,-5599,-5767,-5930,-6082,-6222,-6378,-6527,-6659,-6798,-6952,
-7081,-7206,-7330,-7436,-7563,-7680,-7804,-7931,-8051,-8167,-8272,-8361,-8459,-8546,-8639,-8717,-8820,-8877,-8951,-9008,
-9068,-9127,-9184,-9244,-9303,-9341,-9384,-9393,-9405,-9407,-9400,-9390,-9379,-9357,-9321,-9291,-9245,-9200,-9144,-9095,
-9043,-8991,-8910,-8835,-8728,-8626,-8503,-8385,-8274,-8164,-8051,-7922,-7800,-7681,-7559,-7446,-7316,-7201,-7072,-6933,
-6785,-6618,-6451,-6275,-6098,-5952,-5794,-5645,-5491,-5332,-5187,-5029,-4870,-4724,-4568,-4384,-4219,-4028,-3842,-3642,
-3438,-3281,-3117,-2959,-2828,-2682,-2561,-2415,-2287,-2169,-2053,-1928,-1804,-1674,-1556,-1423,-1307,-1212,-1143,-1072,
-1034,-986,-952,-923,-879,-839,-816,-774,-737,-690,-643,-596,-545,-505,-489,-482,-479,-487,-493,-496,
-479,-447,-444,-405,-368,-335,-298,-274,-230,-201,-190,-176,-167,-173,-186,-196,-192,-177,-152,-121,
-76,-44,-13,31,64,101,140,159,185,199,220,241,277,340,424,516,620,728,838,947,
1061,1176,1297,1416,1528,1659,1767,1895,2038,2188,2371,2557,2754,2966,3131,3314,3498,3672,3846,4024,
4195,4364,4523,4692,4846,5020,5204,5414,5587,5801,5986,6156,6323,6470,6618,6769,6915,7072,7219,7354,
7491,7631,7769,7934,8085,8245,8389,8529,8648,8742,8844,8931,9016,9088,9180,9251,9312,9365,9416,9471,
9524,9564,9608,9628,9632,9620,9586,9550,9519,9459,9436,9390,9350,9277,9209,9131,9059,8979,8907,8825,
8739,8633,8515,8385,8269,8130,8019,7899,7779,7648,7512,7378,7243,7087,6944,6809,6660,6515,6340,6169,
5976,5803,5610,5440,5259,5092,4900,4707,4511,4322,4116,3933,3730,3543,3330,3114,2893,2672,2446,2239,
2031,1827,1621,1406,1200,996,762,562,358,150,-49,-260,-473,-691,-909,-1107,-1302,-1498,-1682,-1890,
-2076,-2265,-2464,-2665,-2846,-3038,-3227,-3421,-3609,-3791,-3990,-4185,-4363,-4534,-4703,-4870,-5040,-5203,-5367,-5557,
-5730,-5899,-6072,-6222,-6390,-6554,-6703,-6854,-7003,-7140,-7271,-7380,-7501,-7605,-7715,-7842,-7957,-8067,-8161,-8259,
-8337,-8420,-8496,-8565,-8629,-8684,-8736,-8767,-8790,-8820,-8828,-8867,-8907,-8926,-8965,-8967,-8985,-8983,-8963,-8938,
-8925,-8898,-8856,-8812,-8763,-8702,-8637,-8574,-8535,-8475,-8424,-8345,-8271,-8178,-8066,-7947,-7818,-7688,-7538,-7399,
-7241,-7083,-6924,-6755,-6600,-6460,-6295,-6164,-5991,-5816,-5622,-5423,-5215,-5018,-4813,-4624,-4434,-4264,-4091,-3919,
-3748,-3609,-3468,-3324,-3188,-3051,-2912,-2738,-2569,-2407,-2254,-2118,-1986,-1877,-1772,-1674,-1571,-1491,-1397,-1310,
-1234,-1147,-1070,-961,-838,-710,-621,-520,-447,-395,-362,-309,-283,-246,-234,-200,-178,-144,-117,-103,
-62,-30,9,41,38,-3,45,96,5,-114,-316,-539,-783,-1012,-1204,-1334,-1413,-1438,-1420,-1365,
-1267,-1135,-983,-810,-635,-463,-277,-108,80,298,559,863,1193,1543,1898,2227,2540,2833,3099,3345,
3565,3764,3949,4098,4233,4373,4509,4662,4828,4992,5145,5272,5381,5487,5586,5711,5858,6041,6251,6486,
6725,6985,7250,7535,7820,8102,8357,8585,8766,8916,9029,9116,9191,9242,9278,9287,9245,9161,9044,8887,
8706,8504,8290,8064,7812,7554,7294,7036,6797,6583,6390,6220,6053,5884,5719,5541,5377,5215,5070,4939,
4813,4685,4554,4419,4288,4160,4036,3914,3782,3633,3463,3269,3068,2847,2609,2370,2130,1879,1641,1407,
1175,937,703,480,249,6,-251,-510,-763,-1007,-1234,-1441,-1625,-1796,-1925,-2032,-2130,-2203,-2261,-2313,
-2349,-2390,-2450,-2514,-2577,-2643,-2703,-2759,-2814,-2855,-2899,-2939,-2989,-3045,-3116,-3197,-3298,-3417,-3572,-3747,
-3945,-4165,-4395,-4634,-4875,-5111,-5346,-5573,-5803,-6027,-6246,-6469,-6691,-6909,-7131,-7363,-7600,-7830,-8053,-8255,
-8440,-8591,-8722,-8829,-8919,-8997,-9069,-9141,-9200,-9251,-9297,-9354,-9410,-9468,-9535,-9604,-9669,-9719,-9756,-9788,
-9808,-9831,-9857,-9874,-9886,-9893,-9890,-9882,-9867,-9841,-9803,-9734,-9638,-9507,-9326,-9099,-8826,-8521,-8186,-7811,
-7399,-6957,-6471,-5961,-5438,-4896,-4353,-3800,-3252,-2688,-2114,-1541,-974,-420,113,630,1118,1590,2051,2485,
2891,3276,3638,3968,4274,4570,4866,5141,5392,5636,5862,6064,6250,6413,6557,6664,6745,6794,6794,6756,
6690,6600,6499,6380,6245,6095,5915,5722,5509,5270,5010,4737,4459,4165,3865,3562,3264,2976,2708,2466,
2243,2019,1816,1635,1462,1285,1114,954,794,627,468,306,143,-19,-150,-272,-390,-502,-600,-702,
-827,-959,-1116,-1290,-1484,-1686,-1905,-2134,-2375,-2609,-2840,-3069,-3279,-3476,-3674,-3863,-4045,-4230,-4434,-4636,
-4835,-5036,-5234,-5420,-5585,-5734,-5867,-5962,-6025,-6064,-6084,-6071,-6048,-6019,-5991,-5962,-5935,-5904,-5857,-5799,
-5732,-5644,-5529,-5396,-5234,-5054,-4849,-4630,-4386,-4129,-3859,-3589,-3312,-3013,-2694,-2351,-1970,-1557,-1104,-619,
-99,442,998,1574,2163,2759,3354,3944,4523,5081,5632,6151,6660,7149,7612,8040,8415,8754,9050,9284,
9480,9644,9777,9879,9960,10015,10043,10037,10013,9981,9923,9847,9761,9667,9560,9440,9319,9201,9071,8965,
8865,8768,8669,8563,8454,8337,8202,8065,7913,7749,7584,7421,7243,7062,6885,6712,6545,6374,6206,6038,
5853,5666,5474,5271,5061,4854,4652,4461,4263,4079,3903,3729,3567,3416,3273,3130,2988,2848,2714,2560,
2418,2273,2125,1990,1860,1723,1587,1446,1309,1169,1025,881,734,577,419,254,82,-100,-281,-457,
-632,-817,-998,-1184,-1368,-1551,-1735,-1910,-2083,-2252,-2404,-2557,-2714,-2863,-3003,-3138,-3264,-3385,-3508,-3628,
-3747,-3866,-3985,-4104,-4220,-4336,-4440,-4547,-4653,-4765,-4888,-5010,-5133,-5261,-5409,-5557,-5720,-5893,-6073,-6270,
-6464,-6652,-6847,-7032,-7210,-7397,-7584,-7770,-7949,-8121,-8292,-8461,-8624,-8788,-8940,-9085,-9212,-9317,-9394,-9445,
-9469,-9480,-9476,-9460,-9431,-9384,-9325,-9270,-9200,-9124,-9043,-8951,-8854,-8729,-8580,-8413,-8217,-8014,-7810,-7613,
-7401,-7192,-6973,-6751,-6515,-6270,-6012,-5730,-5436,-5105,-4746,-4349,-3924,-3479,-3032,-2572,-2123,-1666,-1197,-723,
-236,255,744,1240,1719,2192,2653,3098,3505,3894,4241,4540,4799,5018,5208,5374,5513,5642,5747,5834,
5893,5927,5947,5936,5894,5834,5749,5648,5518,5377,5229,5081,4933,4797,4663,4520,4383,4242,4093,3936,
3761,3586,3400,3202,3010,2808,2608,2412,2232,2058,1885,1712,1547,1373,1200,1022,832,629,431,228,
22,-195,-401,-607,-806,-1002,-1191,-1377,-1565,-1750,-1930,-2118,-2314,-2516,-2714,-2910,-3112,-3309,-3506,-3701,
-3882,-4054,-4219,-4376,-4528,-4662,-4797,-4935,-5062,-5191,-5314,-5430,-5537,-5638,-5730,-5814,-5869,-5915,-5944,-5958,
-5952,-5925,-5882,-5820,-5747,-5667,-5571,-5462,-5334,-5188,-5021,-4833,-4613,-4377,-4127,-3847,-3536,-3189,-2804,-2388,
-1953,-1493,-1020,-526,-16,515,1062,1630,2223,2819,3411,4006,4597,5178,5746,6297,6827,7322,7782,8207,
8593,8937,9257,9554,9825,10059,10261,10415,10534,10608,10657,10657,10625,10569,10495,10384,10254,10115,9966,9815,
9667,9530,9387,9234,9076,8913,8747,8563,8378,8202,8023,7844,7671,7500,7325,7167,7023,6880,6738,6600,
6461,6315,6160,6000,5825,5646,5467,5296,5113,4933,4748,4577,4398,4222,4047,3877,3695,3520,3339,3147,
2951,2750,2555,2367,2173,1990,1811,1641,1473,1315,1160,1011,857,722,576,427,277,126,-20,-165,
-306,-443,-580,-713,-836,-967,-1096,-1222,-1347,-1483,-1611,-1748,-1889,-2041,-2193,-2340,-2488,-2641,-2788,-2933,
-3073,-3223,-3364,-3505,-3645,-3794,-3931,-4078,-4224,-4378,-4529,-4680,-4822,-4971,-5111,-5240,-5375,-5500,-5627,-5751,
-5883,-6011,-6126,-6255,-6389,-6524,-6673,-6811,-6951,-7090,-7227,-7355,-7482,-7602,-7726,-7844,-7966,-8089,-8209,-8321,
-8438,-8556,-8678,-8797,-8903,-9006,-9102,-9175,-9238,-9282,-9317,-9339,-9360,-9365,-9358,-9332,-9293,-9237,-9167,-9084,
-8981,-8851,-8696,-8516,-8300,-8051,-7769,-7474,-7164,-6824,-6474,-6098,-5690,-5264,-4818,-4362,-3884,-3388,-2880,-2365,
-1834,-1284,-741,-203,317,813,1291,1743,2183,2601,2999,3376,3727,4057,4364,4641,4902,5146,5355,5553,
5710,5841,5936,6003,6047,6072,6084,6079,6057,6022,5984,5929,5867,5791,5710,5614,5505,5385,5251,5095,
4930,4759,4580,4400,4212,4028,3845,3664,3479,3304,3121,2935,2745,2556,2361,2160,1947,1735,1525,1306,
1094,883,684,492,308,130,-43,-223,-393,-567,-745,-921,-1104,-1294,-1477,-1663,-1844,-2029,-2207,-2373,
-2527,-2685,-2833,-2988,-3137,-3295,-3454,-3617,-3787,-3966,-4137,-4316,-4492,-4662,-4823,-4975,-5112,-5254,-5377,-5502,
-5624,-5742,-5854,-5965,-6066,-6164,-6249,-6323,-6386,-6416,-6436,-6423,-6383,-6315,-6224,-6111,-5985,-5831,-5657,-5451,
-5220,-4963,-4683,-4370,-4027,-3644,-3225,-2757,-2254,-1721,-1177,-611,-41,530,1106,1690,2284,2890,3489,4083,
4667,5238,5792,6325,6841,7340,7794,8228,8620,8981,9303,9597,9873,10127,10358,10559,10726,10854,10957,11024,
11062,11071,11055,11020,10958,10876,10775,10656,10526,10392,10259,10107,9949,9777,9601,9410,9216,9020,8821,8621,
8424,8229,8026,7818,7616,7425,7236,7040,6849,6662,6469,6280,6093,5907,5722,5540,5368,5193,5012,4838,
4656,4470,4289,4110,3924,3734,3547,3361,3171,2989,2800,2621,2433,2265,2084,1904,1716,1530,1351,1174,
987,812,642,476,314,151,-3,-152,-301,-437,-581,-721,-871,-1017,-1163,-1300,-1444,-1582,-1713,-1844,
-1966,-2090,-2214,-2329,-2450,-2577,-2697,-2830,-2969,-3113,-3260,-3406,-3556,-3715,-3863,-4007,-4150,-4296,-4439,-4583,
-4729,-4878,-5026,-5182,-5345,-5515,-5682,-5848,-6014,-6183,-6342,-6495,-6641,-6781,-6925,-7065,-7201,-7340,-7483,-7620,
-7770,-7913,-8062,-8209,-8348,-8487,-8619,-8737,-8843,-8940,-9037,-9129,-9216,-9300,-9387,-9467,-9541,-9609,-9675,-9724,
-9765,-9797,-9817,-9812,-9788,-9744,-9689,-9613,-9527,-9428,-9320,-9192,-9042,-8873,-8678,-8454,-8204,-7929,-7637,-7323,
-6974,-6600,-6202,-5784,-5343,-4881,-4405,-3916,-3406,-2882,-2330,-1767,-1192,-617,-52,491,1026,1535,2032,2500,
2949,3377,3781,4150,4496,4814,5110,5382,5625,5831,6005,6136,6233,6290,6315,6320,6298,6267,6225,6161,
6087,6005,5913,5802,5684,5565,5423,5277,5116,4948,4767,4577,4392,4204,4030,3850,3677,3505,3334,3159,
2978,2797,2615,2435,2249,2058,1865,1667,1465,1273,1081,899,712,534,362,177,-9,-199,-387,-572,
-761,-950,-1136,-1329,-1515,-1703,-1887,-2064,-2244,-2414,-2582,-2752,-2923,-3100,-3274,-3447,-3619,-3787,-3946,-4111,
-4265,-4420,-4568,-4709,-4839,-4968,-5076,-5184,-5295,-5402,-5510,-5604,-5686,-5762,-5825,-5873,-5911,-5938,-5946,-5937,
-5909,-5868,-5802,-5714,-5614,-5508,-5388,-5242,-5076,-4882,-4657,-4400,-4118,-3806,-3474,-3110,-2722,-2298,-1842,-1347,
-836,-307,230,773,1325,1891,2462,3042,3611,4176,4726,5268,5796,6310,6795,7267,7699,8101,8456,8772,
9052,9301,9509,9703,9864,9994,10092,10169,10224,10267,10283,10285,10269,10228,10173,10095,9994,9884,9765,9641,
9513,9372,9236,9085,8940,8796,8652,8505,8357,8199,8043,7875,7698,7516,7333,7148,6967,6787,6604,6416,
6236,6061,5891,5722,5555,5390,5223,5046,4865,4682,4499,4316,4137,3961,3779,3601,3425,3258,3094,2929,
2769,2611,2449,2287,2120,1945,1776,1607,1432,1270,1105,943,777,619,474,328,179,40,-105,-243,
-392,-542,-692,-843,-995,-1136,-1278,-1419,-1553,-1692,-1827,-1951,-2080,-2210,-2333,-2461,-2592,-2732,-2880,-3025,
-3174,-3321,-3467,-3614,-3760,-3908,-4055,-4198,-4349,-4503,-4652,-4801,-4955,-5113,-5276,-5436,-5600,-5768,-5924,-6083,
-6235,-6391,-6537,-6679,-6826,-6976,-7115,-7253,-7390,-7526,-7663,-7798,-7923,-8052,-8169,-8282,-8393,-8494,-8589,-8682,
-8771,-8857,-8943,-9012,-9079,-9133,-9183,-9223,-9242,-9255,-9254,-9243,-9222,-9179,-9127,-9054,-8963,-8861,-8743,-8600,
-8433,-8240,-8022,-7770,-7485,-7174,-6841,-6482,-6113,-5723,-5320,-4897,-4454,-4003,-3542,-3066,-2586,-2101,-1610,-1113,
-609,-98,400,875,1334,1767,2173,2546,2905,3238,3558,3856,4130,4383,4618,4826,5023,5202,5358,5488,
5605,5685,5741,5766,5769,5761,5739,5703,5656,5597,5518,5430,5321,5211,5089,4959,4818,4679,4521,4350,
4167,3977,3791,3602,3415,3228,3037,2844,2643,2443,2240,2037,1840,1648,1452,1256,1055,849,650,447,
253,62,-129,-316,-504,-690,-880,-1071,-1256,-1431,-1610,-1782,-1961,-2140,-2318,-2492,-2671,-2840,-3005,-3165,
-3326,-3486,-3649,-3814,-3981,-4135,-4286,-4429,-4585,-4728,-4869,-5008,-5138,-5259,-5365,-5464,-5551,-5630,-5703,-5771,
-5831,-5881,-5910,-5923,-5917,-5903,-5862,-5799,-5717,-5610,-5461,-5291,-5085,-4857,-4602,-4335,-4048,-3759,-3432,-3079,
-2697,-2280,-1839,-1370,-875,-364,170,724,1285,1846,2402,2943,3469,3968,4463,4944,5413,5868,6301,6721,
7121,7494,7856,8192,8505,8784,9036,9246,9431,9584,9708,9812,9894,9960,9999,10020,10020,10008,9974,9938,
9883,9811,9727,9621,9508,9384,9247,9115,8972,8827,8677,8517,8351,8181,8005,7832,7665,7488,7313,7130,
6952,6777,6602,6426,6259,6089,5926,5752,5580,5403,5230,5054,4886,4718,4557,4387,4222,4062,3899,3737,
3581,3429,3277,3117,2954,2784,2618,2445,2284,2122,1965,1809,1652,1499,1345,1191,1039,888,742,593,
433,275,116,-40,-194,-345,-493,-631,-773,-911,-1047,-1184,-1318,-1454,-1590,-1720,-1865,-2006,-2153,-2295,
-2442,-2581,-2719,-2854,-2989,-3117,-3247,-3384,-3528,-3664,-3809,-3953,-4097,-4252,-4405,-4560,-4717,-4874,-5027,-5178,
-5325,-5470,-5611,-5754,-5906,-6056,-6208,-6364,-6516,-6675,-6831,-6984,-7135,-7293,-7438,-7586,-7720,-7854,-7976,-8093,
-8213,-8331,-8442,-8555,-8657,-8752,-8845,-8923,-8995,-9060,-9110,-9157,-9188,-9203,-9208,-9188,-9160,-9116,-9057,-8985,
-8892,-8787,-8661,-8518,-8348,-8164,-7956,-7729,-7481,-7219,-6924,-6609,-6258,-5884,-5488,-5058,-4615,-4151,-3680,-3185,
-2686,-2180,-1672,-1153,-640,-126,373,868,1359,1843,2317,2777,3217,3627,4009,4353,4663,4939,5184,5407,
5596,5758,5897,6007,6089,6161,6206,6243,6259,6256,6233,6183,6115,6022,5911,5797,5675,5545,5414,5274,
5127,4978,4825,4668,4518,4361,4197,4028,3853,3669,3473,3276,3081,2890,2706,2519,2333,2148,1960,1769,
1579,1386,1196,1003,804,607,402,186,-23,-222,-422,-612,-800,-990,-1170,-1355,-1546,-1734,-1920,-2103,
-2288,-2477,-2668,-2863,-3055,-3241,-3419,-3586,-3753,-3904,-4055,-4203,-4364,-4514,-4669,-4812,-4962,-5097,-5240,-5368,
-5504,-5617,-5730,-5822,-5896,-5957,-5999,-6036,-6065,-6094,-6111,-6118,-6105,-6077,-6035,-5975,-5901,-5804,-5679,-5527,
-5339,-5116,-4866,-4584,-4288,-3984,-3660,-3316,-2941,-2534,-2095,-1624,-1131,-617,-74,488,1078,1672,2279,2880,
3481,4053,4613,5156,5681,6183,6659,7118,7546,7943,8309,8651,8962,9239,9484,9699,9878,10015,10133,10218,
10276,10310,10319,10312,10281,10232,10162,10089,10003,9907,9798,9683,9558,9425,9285,9144,9001,8852,8695,8534,
8366,8192,8011,7829,7645,7465,7284,7102,6917,6731,6544,6363,6180,6001,5819,5637,5456,5268,5074,4882,
4694,4507,4330,4152,3980,3810,3642,3468,3304,3141,2977,2814,2652,2489,2318,2149,1985,1820,1666,1509,
1360,1208,1061,907,758,605,457,308,156,6,-147,-310,-464,-623,-774,-919,-1068,-1209,-1354,-1499,
-1642,-1788,-1934,-2074,-2219,-2362,-2506,-2657,-2803,-2952,-3099,-3242,-3389,-3531,-3668,-3804,-3952,-4100,-4249,-4400,
-4552,-4705,-4847,-5000,-5156,-5310,-5464,-5616,-5765,-5916,-6067,-6209,-6360,-6505,-6665,-6822,-6979,-7129,-7275,-7413,
-7563,-7706,-7847,-7988,-8128,-8263,-8394,-8518,-8644,-8771,-8891,-9010,-9128,-9235,-9331,-9419,-9495,-9566,-9626,-9684,
-9737,-9776,-9809,-9825,-9833,-9820,-9794,-9749,-9685,-9596,-9483,-9340,-9171,-8979,-8763,-8519,-8257,-7971,-7660,-7331,
-6969,-6579,-6154,-5704,-5222,-4713,-4184,-3631,-3069,-2501,-1927,-1360,-798,-236,302,829,1349,1845,2330,2801,
3257,3696,4110,4496,4843,5160,5437,5687,5901,6093,6259,6395,6512,6602,6660,6712,6745,6767,6766,6752,
6710,6650,6556,6456,6332,6206,6072,5932,5786,5635,5474,5309,5137,4968,4795,4623,4445,4268,4073,3873,
3666,3461,3260,3063,2871,2684,2492,2297,2104,1915,1723,1532,1345,1161,968,768,570,367,170,-27,
-210,-394,-568,-751,-933,-1107,-1294,-1463,-1647,-1825,-1991,-2165,-2342,-2525,-2704,-2881,-3050,-3212,-3366,-3516,
-3665,-3815,-3963,-4108,-4255,-4392,-4520,-4649,-4778,-4902,-5027,-5142,-5251,-5341,-5410,-5466,-5512,-5543,-5569,-5579,
-5580,-5561,-5523,-5469,-5397,-5306,-5200,-5074,-4918,-4735,-4514,-4256,-3971,-3658,-3324,-2974,-2603,-2214,-1806,-1373,
-929,-467,5,493,999,1512,2044,2584,3129,3663,4193,4702,5190,5658,6112,6541,6951,7330,7699,8041,
8360,8656,8929,9180,9404,9600,9758,9893,9994,10069,10119,10144,10156,10141,10110,10069,10012,9945,9862,9773,
9673,9553,9420,9282,9132,8981,8821,8659,8493,8323,8150,7971,7791,7613,7430,7253,7080,6901,6708,6516,
6329,6147,5962,5779,5603,5423,5243,5062,4882,4704,4520,4343,4175,4004,3827,3652,3473,3302,3132,2967,
2806,2649,2490,2333,2172,2005,1844,1685,1528,1379,1223,1065,917,756,611,458,310,171,30,-117,
-261,-415,-563,-720,-869,-1013,-1156,-1299,-1447,-1591,-1737,-1886,-2030,-2171,-2302,-2449,-2587,-2741,-2892,-3044,
-3198,-3345,-3496,-3644,-3789,-3943,-4095,-4243,-4401,-4553,-4697,-4850,-4997,-5150,-5308,-5467,-5630,-5787,-5940,-6093,
-6252,-6404,-6553,-6712,-6871,-7026,-7177,-7323,-7470,-7614,-7761,-7906,-8054,-8196,-8333,-8463,-8598,-8717,-8837,-8952,
-9065,-9175,-9273,-9359,-9438,-9501,-9560,-9614,-9656,-9689,-9715,-9727,-9726,-9714,-9682,-9641,-9578,-9502,-9408,-9286,
-9145,-8976,-8788,-8574,-8345,-8089,-7814,-7516,-7194,-6856,-6489,-6095,-5676,-5238,-4769,-4274,-3759,-3233,-2696,-2153,
-1607,-1067,-531,-5,510,1003,1482,1939,2381,2803,3206,3596,3956,4290,4585,4853,5077,5273,5439,5577,
5689,5769,5823,5852,5865,5856,5841,5816,5781,5733,5660,5578,5468,5347,5214,5075,4928,4780,4619,4457,
4289,4117,3949,3783,3623,3468,3300,3130,2949,2763,2571,2369,2177,1989,1801,1607,1421,1234,1040,854,
673,500,322,149,-31,-218,-413,-606,-801,-990,-1174,-1358,-1536,-1713,-1886,-2061,-2235,-2401,-2555,-2713,
-2874,-3033,-3203,-3377,-3552,-3719,-3866,-4020,-4155,-4288,-4412,-4538,-4655,-4760,-4856,-4950,-5031,-5109,-5185,-5263,
-5336,-5393,-5431,-5451,-5451,-5428,-5392,-5334,-5266,-5183,-5077,-4954,-4816,-4650,-4476,-4280,-4070,-3844,-3578,-3281,
-2956,-2596,-2203,-1792,-1366,-920,-461,9,497,991,1497,2004,2518,3027,3540,4055,4560,5069,5563,6034,
6491,6918,7318,7689,8032,8346,8630,8882,9114,9312,9489,9645,9778,9878,9965,10021,10058,10068,10065,10047,
10011,9959,9898,9821,9742,9646,9548,9446,9334,9215,9088,8954,8817,8667,8519,8375,8228,8068,7911,7751,
7583,7413,7239,7066,6901,6731,6553,6379,6197,6014,5833,5660,5493,5323,5151,4985,4810,4634,4457,4279,
4110,3946,3776,3607,3437,3267,3099,2935,2777,2624,2466,2314,2155,1999,1834,1669,1506,1349,1192,1040,
888,732,576,425,273,128,-19,-164,-311,-458,-613,-770,-927,-1076,-1225,-1370,-1507,-1653,-1795,-1942,
-2086,-2231,-2372,-2514,-2651,-2799,-2947,-3102,-3261,-3416,-3564,-3712,-3855,-4000,-4150,-4301,-4455,-4609,-4762,-4917,
-5065,-5216,-5372,-5531,-5692,-5853,-6004,-6156,-6302,-6441,-6586,-6726,-6879,-7026,-7169,-7316,-7454,-7585,-7724,-7852,
-7986,-8114,-8235,-8354,-8458,-8561,-8656,-8751,-8838,-8932,-9008,-9087,-9154,-9203,-9243,-9266,-9278,-9282,-9268,-9237,
-9189,-9122,-9034,-8934,-8817,-8683,-8521,-8339,-8129,-7886,-7611,-7310,-6976,-6622,-6241,-5829,-5401,-4959,-4492,-4017,
-3533,-3039,-2533,-2012,-1480,-944,-396,137,667,1175,1669,2147,2605,3029,3426,3797,4136,4444,4733,5001,
5261,5493,5709,5895,6057,6186,6284,6359,6413,6440,6445,6432,6398,6337,6267,6188,6108,6018,5919,5818,
5691,5552,5401,5241,5070,4895,4714,4538,4346,4153,3953,3753,3561,3375,3185,3004,2813,2622,2419,2210,
2001,1797,1587,1389,1192,988,784,580,382,187,2,-184,-363,-548,-733,-926,-1120,-1317,-1504,-1693,
-1868,-2048,-2225,-2407,-2586,-2759,-2927,-3096,-3249,-3410,-3568,-3733,-3901,-4070,-4232,-4390,-4540,-4682,-4814,-4948,
-5076,-5197,-5308,-5414,-5503,-5582,-5654,-5719,-5786,-5839,-5887,-5920,-5921,-5906,-5863,-5800,-5719,-5611,-5478,-5327,
-5148,-4942,-4715,-4463,-4194,-3903,-3593,-3258,-2891,-2489,-2065,-1613,-1143,-654,-141,378,906,1441,1974,2509,
3029,3542,4049,4540,5018,5492,5950,6393,6818,7224,7604,7956,8281,8570,8827,9051,9245,9412,9556,9678,
9772,9847,9904,9933,9950,9941,9920,9882,9830,9757,9677,9572,9459,9329,9197,9059,8916,8768,8619,8460,
8300,8126,7950,7781,7610,7431,7259,7076,6894,6707,6513,6331,6149,5966,5791,5614,5432,5250,5065,4884,
4708,4537,4372,4198,4028,3854,3675,3505,3332,3168,3001,2840,2679,2512,2347,2183,2018,1862,1704,1557,
1402,1251,1089,936,779,622,469,321,178,28,-121,-275,-423,-570,-717,-861,-1000,-1141,-1282,-1426,
-1574,-1720,-1865,-2004,-2140,-2277,-2414,-2558,-2702,-2840,-2986,-3123,-3258,-3400,-3538,-3681,-3825,-3975,-4125,-4273,
-4416,-4561,-4707,-4852,-4998,-5150,-5297,-5449,-5599,-5744,-5892,-6044,-6202,-6354,-6510,-6670,-6822,-6973,-7119,-7266,
-7418,-7567,-7715,-7869,-8013,-8154,-8294,-8428,-8562,-8691,-8817,-8941,-9062,-9164,-9269,-9355,-9444,-9524,-9599,-9672,
-9734,-9777,-9816,-9832,-9841,-9833,-9808,-9773,-9721,-9646,-9554,-9442,-9316,-9168,-9004,-8820,-8605,-8368,-8100,-7800,
-7468,-7110,-6720,-6304,-5864,-5396,-4905,-4400,-3881,-3351,-2813,-2258,-1699,-1130,-552,30,610,1175,1723,2258,
2770,3249,3710,4128,4514,4858,5172,5452,5707,5936,6146,6335,6494,6622,6720,6795,6839,6861,6863,6842,
6796,6729,6643,6540,6427,6307,6189,6067,5940,5806,5657,5501,5349,5176,5005,4834,4656,4479,4286,4095,
3901,3708,3514,3335,3156,2976,2789,2606,2422,2221,2030,1836,1645,1455,1258,1056,862,663,465,281,
96,-79,-258,-437,-622,-808,-994,-1179,-1356,-1537,-1717,-1898,-2073,-2248,-2428,-2597,-2757,-2916,-3069,-3220,
-3369,-3520,-3679,-3831,-3976,-4121,-4255,-4386,-4507,-4623,-4736,-4837,-4926,-5003,-5068,-5127,-5172,-5214,-5250,-5280,
-5297,-5303,-5288,-5250,-5195,-5118,-5015,-4896,-4751,-4585,-4391,-4175,-3938,-3674,-3388,-3096,-2773,-2426,-2052,-1648,
-1215,-749,-260,243,759,1289,1824,2366,2899,3433,3960,4475,4972,5465,5935,6396,6834,7263,7665,8045,
8391,8710,8991,9247,9461,9640,9800,9931,10031,10115,10176,10213,10229,10228,10209,10181,10129,10070,10001,9914,
9815,9699,9577,9446,9312,9179,9040,8896,8744,8577,8414,8246,8073,7898,7729,7556,7380,7200,7015,6828,
6648,6467,6287,6107,5929,5741,5556,5371,5189,5002,4823,4652,4482,4310,4138,3971,3798,3624,3458,3293,
3128,2964,2796,2634,2464,2300,2134,1975,1822,1676,1521,1369,1216,1056,897,740,590,437,279,125,
-34,-187,-346,-496,-645,-787,-935,-1081,-1231,-1374,-1536,-1681,-1835,-1985,-2132,-2281,-2430,-2582,-2736,-2887,
-3028,-3177,-3319,-3471,-3620,-3774,-3932,-4096,-4253,-4414,-4575,-4734,-4888,-5044,-5202,-5366,-5528,-5685,-5841,-5997,
-6156,-6313,-6477,-6646,-6808,-6975,-7132,-7293,-7448,-7594,-7746,-7900,-8053,-8198,-8344,-8487,-8626,-8762,-8895,-9031,
-9165,-9289,-9406,-9516,-9612,-9706,-9787,-9867,-9940,-10005,-10057,-10095,-10124,-10137,-10131,-10114,-10078,-10027,-9952,-9849,
-9730,-9587,-9422,-9234,-9034,-8805,-8552,-8268,-7954,-7610,-7240,-6843,-6423,-5972,-5497,-5007,-4498,-3980,-3454,-2927,
-2405,-1881,-1350,-827,-299,222,736,1235,1714,2178,2616,3029,3414,3766,4088,4382,4631,4861,5064,5247,
5414,5558,5684,5780,5857,5909,5941,5948,5943,5905,5849,5777,5684,5574,5460,5336,5211,5080,4948,4807,
4658,4500,4340,4168,3996,3816,3630,3444,3253,3044,2855,2650,2470,2284,2104,1919,1739,1550,1361,1176,
987,795,603,412,221,30,-166,-351,-535,-714,-891,-1056,-1225,-1398,-1572,-1745,-1922,-2093,-2265,-2440,
-2606,-2771,-2943,-3105,-3268,-3422,-3570,-3710,-3850,-3983,-4123,-4258,-4395,-4532,-4661,-4785,-4896,-4999,-5097,-5187,
-5267,-5330,-5378,-5409,-5427,-5434,-5423,-5407,-5377,-5339,-5281,-5203,-5099,-4970,-4816,-4635,-4429,-4198,-3935,-3655,
-3342,-3006,-2651,-2278,-1888,-1486,-1068,-635,-189,284,774,1270,1785,2301,2821,3330,3836,4333,4823,5293,
5746,6181,6597,6989,7360,7711,8045,8354,8649,8923,9165,9382,9564,9724,9852,9960,10034,10093,10134,10153,
10150,10130,10098,10049,9988,9924,9849,9763,9659,9552,9430,9299,9159,9018,8870,8722,8567,8410,8244,8083,
7909,7744,7575,7413,7243,7077,6910,6737,6564,6387,6220,6048,5879,5708,5540,5363,5195,5022,4850,4686,
4522,4356,4203,4040,3877,3709,3550,3381,3230,3067,2904,2751,2591,2433,2275,2118,1965,1814,1664,1513,
1368,1215,1061,912,757,607,453,306,161,9,-140,-290,-445,-584,-730,-869,-1012,-1155,-1305,-1447,
-1595,-1741,-1892,-2035,-2185,-2327,-2482,-2629,-2780,-2930,-3081,-3224,-3369,-3518,-3673,-3826,-3981,-4137,-4297,-4455,
-4610,-4764,-4919,-5078,-5235,-5395,-5550,-5709,-5863,-6015,-6171,-6333,-6490,-6648,-6808,-6959,-7107,-7251,-7397,-7539,
-7678,-7820,-7952,-8092,-8216,-8335,-8449,-8566,-8667,-8773,-8863,-8953,-9027,-9084,-9134,-9177,-9208,-9238,-9257,-9261,
-9249,-9223,-9177,-9119,-9041,-8944,-8823,-8685,-8519,-8330,-8109,-7877,-7619,-7346,-7053,-6732,-6390,-6015,-5611,-5187,
-4735,-4261,-3771,-3257,-2737,-2195,-1650,-1108,-578,-48,459,963,1452,1927,2391,2840,3262,3662,4035,4384,
4702,4996,5259,5486,5676,5839,5967,6064,6144,6199,6245,6265,6265,6253,6223,6178,6109,6036,5941,5841,
5716,5587,5438,5280,5125,4960,4795,4637,4473,4296,4126,3942,3764,3575,3391,3203,3010,2808,2609,2404,
2202,1996,1799,1600,1411,1213,1020,822,630,430,232,34,-158,-361,-559,-765,-964,-1162,-1356,-1546,
-1731,-1910,-2090,-2269,-2449,-2630,-2810,-2996,-3166,-3342,-3521,-3693,-3865,-4034,-4197,-4354,-4498,-4635,-4771,-4898,
-5025,-5147,-5269,-5383,-5492,-5582,-5678,-5752,-5823,-5880,-5922,-5954,-5960,-5945,-5919,-5873,-5806,-5729,-5641,-5535,
-5408,-5260,-5086,-4886,-4658,-4394,-4106,-3798,-3451,-3077,-2678,-2256,-1808,-1356,-879,-397,105,620,1140,1676,
2222,2773,3326,3867,4400,4917,5420,5899,6361,6788,7200,7571,7918,8229,8515,8767,8999,9207,9390,9549,
9674,9776,9853,9898,9923,9927,9915,9882,9841,9783,9715,9628,9533,9435,9330,9217,9101,8973,8841,8697,
8544,8397,8234,8078,7913,7752,7587,7416,7240,7068,6888,6714,6538,6359,6183,6006,5823,5645,5465,5286,
5108,4934,4761,4587,4410,4238,4063,3887,3716,3544,3378,3214,3050,2885,2724,2566,2403,2243,2087,1935,
1778,1619,1463,1302,1146,992,837,684,541,393,245,99,-51,-196,-341,-487,-630,-778,-924,-1073,
-1220,-1373,-1516,-1656,-1788,-1931,-2067,-2203,-2340,-2479,-2622,-2758,-2900,-3041,-3185,-3328,-3473,-3625,-3772,-3917,
-4055,-4200,-4341,-4487,-4631,-4780,-4931,-5082,-5235,-5382,-5535,-5685,-5840,-5991,-6146,-6297,-6443,-6592,-6735,-6878,
-7021,-7169,-7318,-7459,-7605,-7742,-7882,-8013,-8141,-8270,-8397,-8522,-8641,-8751,-8857,-8960,-9054,-9147,-9236,-9313,
-9386,-9443,-9489,-9525,-9550,-9563,-9566,-9556,-9532,-9490,-9425,-9347,-9246,-9132,-8989,-8827,-8640,-8416,-8168,-7892,
-7582,-7263,-6910,-6545,-6157,-5738,-5299,-4843,-4356,-3856,-3342,-2810,-2271,-1720,-1153,-595,-34,515,1040,1547,
2030,2498,2948,3370,3776,4156,4514,4848,5159,5442,5700,5926,6126,6300,6434,6540,6614,6662,6691,6702,
6694,6677,6645,6588,6522,6439,6348,6242,6129,5987,5848,5689,5526,5352,5167,4993,4809,4626,4451,4265,
4076,3887,3703,3511,3318,3124,2926,2724,2520,2315,2108,1909,1710,1512,1319,1130,942,749,559,372,
184,-7,-195,-390,-582,-775,-969,-1153,-1338,-1519,-1690,-1864,-2036,-2205,-2374,-2542,-2713,-2882,-3051,-3222,
-3391,-3555,-3724,-3881,-4034,-4181,-4324,-4450,-4578,-4699,-4818,-4931,-5038,-5140,-5235,-5324,-5400,-5464,-5524,-5565,
-5584,-5588,-5570,-5531,-5469,-5389,-5287,-5171,-5037,-4884,-4713,-4514,-4293,-4039,-3766,-3458,-3121,-2756,-2367,-1948,
-1509,-1049,-575,-88,413,928,1440,1956,2487,3008,3535,4058,4578,5093,5587,6063,6525,6969,7388,7776,
8136,8473,8773,9042,9284,9495,9681,9846,9985,10106,10198,10260,10299,10318,10311,10289,10250,10193,10123,10039,
9939,9825,9704,9579,9443,9304,9162,9009,8843,8683,8512,8340,8163,7990,7815,7634,7451,7264,7072,6887,
6697,6514,6324,6141,5950,5769,5580,5400,5215,5032,4852,4678,4497,4319,4136,3957,3775,3596,3420,3250,
3077,2908,2741,2576,2404,2243,2078,1922,1759,1600,1440,1279,1114,951,789,637,480,329,178,27,
-126,0,-72,-282,-535,-838,-1126,-1380,-1555,-1646,-1671,-1647,-1561,-1433,-1262,-1070,-847,-614,-384,-167,
57,273,505,765,1074,1422,1794,2166,2530,2868,3185,3485,3761,4018,4253,4473,4667,4822,4956,5089,
5208,5350,5502,5661,5805,5936,6075,6229,6391,6582,6806,7040,7259,7462,7634,7770,7871,7955,8010,8023,
7984,7887,7739,7548,7317,7062,6789,6504,6210,5903,5576,5240,4904,4585,4285,3990,3722,3480,3255,3047,
2855,2681,2533,2403,2273,2149,2030,1915,1795,1674,1569,1476,1385,1287,1189,1092,994,895,812,737,
667,597,521,434,343,248,153,61,-25,-111,-184,-245,-298,-357,-410,-452,-489,-522,-562,-604,
-647,-704,-769,-826,-872,-919,-963,-1005,-1040,-1082,-1125,-1167,-1212,-1258,-1307,-1369,-1442,-1544,-1660,-1781,
-1894,-1999,-2098,-2196,-2290,-2386,-2499,-2610,-2725,-2833,-2937,-3038,-3133,-3247,-3383,-3527,-3678,-3826,-3970,-4105,
-4228,-4345,-4475,-4609,-4731,-4853,-4980,-5105,-5225,-5355,-5513,-5688,-5867,-6048,-6227,-6394,-6547,-6704,-6868,-7045,
-7230,-7428,-7614,-7783,-7945,-8110,-8282,-8464,-8653,-8855,-9042,-9196,-9308,-9379,-9415,-9427,-9417,-9366,-9258,-9087,
-8843,-8512,-8105,-7639,-7110,-6504,-5826,-5058,-4189,-3227,-2201,-1139,-54,1035,2105,3130,4098,4987,5774,6466,
7063,7575,8001,8343,8610,8800,8907,8945,8928,8882,8812,8708,8575,8413,8211,7985,7748,7514,7284,7059,
6846,6614,6355,6082,5810,5539,5277,5034,4803,4573,4335,4096,3849,3605,3383,3184,3002,2828,2659,2484,
2308,2134,1973,1826,1689,1568,1447,1319,1176,1032,898,775,667,576,486,385,272,159,34,-91,
-208,-311,-418,-539,-663,-799,-946,-1087,-1220,-1332,-1441,-1544,-1652,-1769,-1901,-2027,-2153,-2270,-2382,-2489,
-2603,-2730,-2860,-2987,-3109,-3220,-3312,-3386,-3468,-3562,-3665,-3782,-3908,-4030,-4139,-4241,-4353,-4467,-4596,-4741,
-4894,-5037,-5164,-5287,-5397,-5504,-5626,-5773,-5934,-6100,-6265,-6426,-6572,-6716,-6867,-7023,-7170,-7304,-7411,-7480,
-7495,-7477,-7430,-7358,-7254,-7128,-6961,-6728,-6423,-6044,-5581,-5035,-4399,-3671,-2846,-1941,-966,51,1087,2113,
3121,4095,5014,5873,6661,7355,7954,8469,8903,9251,9520,9707,9807,9814,9739,9615,9459,9282,9102,8925,
8729,8508,8271,8022,7758,7503,7257,7021,6780,6534,6276,6013,5753,5511,5302,5114,4939,4774,4602,4418,
4229,4045,3865,3689,3523,3363,3197,3028,2859,2704,2560,2439,2333,2235,2135,2024,1911,1787,1664,1542,
1438,1341,1244,1147,1050,951,861,787,717,662,613,560,501,433,362,289,220,164,111,54,
-6,-69,-130,-196,-252,-302,-348,-396,-444,-503,-567,-635,-704,-765,-818,-877,-930,-992,-1062,-1134,
-1212,-1283,-1352,-1420,-1485,-1555,-1631,-1717,-1806,-1891,-1970,-2047,-2119,-2195,-2282,-2378,-2483,-2589,-2693,-2790,
-2886,-2985,-3092,-3210,-3343,-3480,-3616,-3746,-3878,-4009,-4144,-4296,-4465,-4646,-4826,-5005,-5177,-5342,-5505,-5680,
-5866,-6056,-6252,-6435,-6608,-6768,-6918,-7078,-7241,-7414,-7587,-7749,-7879,-7985,-8067,-8129,-8179,-8239,-8292,-8325,
-8328,-8305,-8240,-8146,-8028,-7892,-7716,-7482,-7183,-6796,-6315,-5753,-5119,-4430,-3686,-2892,-2048,-1154,-218,742,
1704,2653,3577,4462,5300,6063,6739,7317,7787,8155,8429,8620,8736,8779,8755,8671,8534,8369,8182,7987,
7783,7567,7326,7058,6770,6481,6193,5922,5671,5438,5207,4976,4745,4516,4297,4093,3913,3742,3571,3392,
3205,3011,2815,2632,2470,2326,2185,2052,1911,1758,1602,1454,1311,1187,1064,945,820,682,540,406,
275,163,69,-18,-108,-206,-306,-416,-526,-616,-700,-781,-862,-951,-1046,-1152,-1257,-1352,-1432,-1509,
-1583,-1664,-1764,-1874,-1994,-2111,-2226,-2337,-2442,-2552,-2681,-2824,-2979,-3138,-3291,-3435,-3569,-3706,-3852,-4009,
-4180,-4360,-4537,-4703,-4869,-5030,-5194,-5371,-5567,-5776,-5974,-6163,-6343,-6499,-6651,-6804,-6966,-7132,-7291,-7440,
-7574,-7679,-7766,-7848,-7917,-7973,-8009,-7993,-7917,-7766,-7542,-7242,-6865,-6413,-5879,-5261,-4556,-3769,-2900,-1957,
-952,104,1205,2326,3436,4509,5521,6447,7284,8026,8672,9215,9651,9979,10195,10312,10351,10340,10287,10205,
10096,9951,9760,9532,9282,9007,8738,8479,8225,7968,7706,7433,7157,6879,6614,6370,6145,5919,5699,5469,
5234,4989,4756,4539,4340,4152,3972,3793,3610,3429,3251,3089,2940,2806,2677,2549,2414,2279,2139,2008,
1892,1785,1688,1593,1496,1397,1293,1195,1104,1025,948,876,805,724,638,551,470,399,330,262,
202,131,58,-21,-96,-168,-234,-295,-353,-413,-475,-547,-616,-682,-739,-795,-848,-904,-959,-1028,
-1097,-1163,-1223,-1284,-1338,-1391,-1452,-1522,-1596,-1672,-1747,-1819,-1892,-1960,-2035,-2120,-2213,-2306,-2407,-2502,
-2594,-2682,-2774,-2873,-2981,-3101,-3222,-3343,-3459,-3571,-3688,-3804,-3930,-4068,-4209,-4346,-4482,-4609,-4736,-4864,
-5007,-5163,-5324,-5489,-5654,-5810,-5958,-6104,-6257,-6420,-6590,-6766,-6937,-7096,-7242,-7388,-7535,-7689,-7855,-8024,
-8182,-8321,-8424,-8500,-8543,-8569,-8580,-8572,-8531,-8444,-8298,-8095,-7825,-7504,-7126,-6685,-6164,-5556,-4849,-4043,
-3159,-2214,-1234,-237,763,1742,2698,3602,4443,5210,5904,6523,7073,7543,7933,8236,8456,8591,8659,8673,
8642,8570,8458,8313,8131,7921,7694,7469,7250,7039,6826,6611,6383,6138,5890,5650,5421,5208,5002,4803,
4596,4387,4173,3961,3764,3588,3424,3272,3116,2958,2797,2631,2478,2338,2209,2090,1972,1847,1714,1573,
1439,1312,1197,1096,1001,899,790,678,567,454,352,260,169,74,-28,-140,-259,-381,-489,-587,
-675,-765,-854,-953,-1059,-1168,-1272,-1373,-1468,-1563,-1662,-1773,-1898,-2022,-2149,-2268,-2376,-2478,-2578,-2689,
-2807,-2940,-3078,-3223,-3356,-3489,-3622,-3768,-3922,-4088,-4264,-4439,-4602,-4756,-4908,-5059,-5220,-5393,-5586,-5786,
-5982,-6170,-6350,-6520,-6697,-6875,-7055,-7229,-7389,-7524,-7634,-7722,-7797,-7865,-7927,-7973,-7994,-7963,-7875,-7726,
-7502,-7215,-6854,-6414,-5886,-5268,-4560,-3765,-2889,-1944,-929,146,1263,2401,3536,4634,5668,6627,7505,8291,
8971,9544,10003,10334,10547,10663,10701,10682,10624,10530,10394,10208,9982,9720,9438,9146,8859,8575,8292,8002,
7704,7397,7085,6792,6519,6262,6021,5782,5544,5299,5054,4820,4601,4396,4211,4037,3862,3683,3504,3331,
3168,3016,2875,2743,2612,2481,2346,2213,2085,1971,1864,1770,1678,1586,1489,1386,1287,1190,1101,1015,
936,856,775,692,608,528,456,393,332,275,210,140,69,-4,-74,-140,-201,-260,-318,-383,
-446,-510,-573,-630,-680,-732,-781,-838,-899,-967,-1036,-1100,-1159,-1217,-1273,-1327,-1389,-1453,-1516,-1584,
-1647,-1711,-1773,-1840,-1917,-1999,-2089,-2185,-2275,-2360,-2444,-2527,-2612,-2703,-2802,-2907,-3014,-3119,-3223,-3333,
-3449,-3575,-3712,-3857,-4005,-4149,-4288,-4419,-4547,-4686,-4837,-4995,-5163,-5331,-5501,-5668,-5837,-6013,-6197,-6392,
-6598,-6796,-6981,-7150,-7312,-7466,-7622,-7790,-7962,-8134,-8295,-8436,-8558,-8659,-8746,-8822,-8891,-8937,-8948,-8910,
-8820,-8672,-8483,-8245,-7960,-7614,-7191,-6673,-6049,-5322,-4495,-3590,-2618,-1596,-541,544,1625,2677,3682,4625,
5490,6272,6974,7585,8098,8508,8815,9027,9154,9203,9191,9117,8985,8801,8576,8323,8061,7799,7546,7300,
7054,6800,6533,6262,5995,5738,5497,5269,5044,4819,4587,4355,4129,3911,3714,3536,3369,3203,3032,2857,
2680,2511,2350,2204,2065,1934,1797,1658,1513,1371,1235,1114,1007,906,803,696,582,468,352,250,
154,67,-21,-113,-212,-321,-430,-536,-628,-717,-804,-893,-986,-1091,-1201,-1308,-1411,-1507,-1598,-1693,
-1799,-1912,-2036,-2165,-2287,-2404,-2515,-2622,-2742,-2863,-2997,-3136,-3278,-3412,-3538,-3666,-3791,-3926,-4074,-4237,
-4392,-4550,-4690,-4832,-4968,-5112,-5267,-5435,-5607,-5779,-5945,-6099,-6248,-6394,-6550,-6712,-6880,-7033,-7177,-7295,
-7400,-7484,-7562,-7627,-7679,-7703,-7687,-7613,-7480,-7284,-7020,-6691,-6293,-5810,-5243,-4583,-3839,-3023,-2138,-1203,
-225,793,1830,2861,3869,4825,5721,6547,7298,7965,8551,9036,9417,9694,9875,9977,10019,10014,9977,9902,
9779,9619,9426,9209,8983,8757,8540,8317,8089,7847,7589,7318,7052,6792,6549,6312,6081,5841,5601,5358,
5125,4901,4697,4511,4336,4166,3993,3816,3643,3469,3314,3167,3029,2895,2760,2623,2492,2359,2247,2140,
2051,1964,1875,1785,1687,1584,1487,1393,1304,1220,1135,1049,962,874,787,709,638,573,509,441,
368,289,204,123,48,-25,-93,-162,-226,-297,-369,-435,-498,-554,-608,-661,-718,-784,-854,-928,
-996,-1066,-1129,-1191,-1255,-1317,-1387,-1460,-1533,-1604,-1675,-1744,-1820,-1902,-1991,-2091,-2195,-2300,-2400,-2496,
-2593,-2687,-2789,-2898,-3012,-3130,-3244,-3354,-3469,-3585,-3711,-3852,-3998,-4146,-4296,-4438,-4572,-4704,-4840,-4986,
-5140,-5301,-5466,-5627,-5785,-5939,-6100,-6270,-6449,-6639,-6826,-7005,-7167,-7320,-7458,-7602,-7749,-7903,-8052,-8188,
-8304,-8393,-8449,-8487,-8509,-8509,-8485,-8422,-8305,-8130,-7890,-7592,-7248,-6843,-6382,-5851,-5234,-4529,-3739,-2875,
-1959,-1004,-34,937,1894,2816,3690,4500,5237,5904,6500,7024,7475,7847,8143,8359,8503,8582,8609,8591,
8531,8425,8275,8089,7880,7655,7430,7209,6993,6776,6549,6315,6072,5827,5589,5366,5157,4957,4752,4546,
4338,4127,3926,3738,3565,3405,3245,3088,2921,2751,2586,2433,2291,2160,2037,1911,1782,1644,1505,1370,
1240,1122,1008,896,777,649,518,389,262,147,45,-60,-161,-275,-397,-528,-650,-768,-880,-984,
-1092,-1202,-1323,-1446,-1571,-1687,-1799,-1901,-2004,-2110,-2233,-2367,-2505,-2644,-2779,-2907,-3033,-3162,-3300,-3449,
-3608,-3764,-3920,-4067,-4208,-4351,-4506,-4671,-4849,-5035,-5212,-5385,-5549,-5703,-5859,-6027,-6201,-6381,-6553,-6716,
-6862,-6992,-7110,-7229,-7344,-7451,-7542,-7609,-7638,-7631,-7591,-7522,-7428,-7296,-7118,-6878,-6563,-6169,-5687,-5125,
-4481,-3760,-2959,-2086,-1147,-157,862,1882,2885,3868,4807,5703,6533,7288,7945,8514,8988,9379,9690,9925,
10080,10152,10149,10076,9951,9796,9621,9435,9236,9016,8777,8517,8244,7967,7705,7453,7209,6966,6722,6473,
6224,5976,5742,5526,5320,5124,4924,4721,4514,4309,4115,3933,3769,3615,3463,3318,3166,3016,2876,2738,
2614,2493,2377,2260,2138,2014,1893,1776,1675,1581,1497,1415,1335,1245,1160,1077,997,922,851,779,
710,631,553,475,400,334,275,220,164,109,43,-23,-91,-156,-219,-280,-343,-410,-478,-550,
-623,-687,-748,-804,-858,-912,-977,-1044,-1115,-1189,-1263,-1335,-1403,-1476,-1551,-1631,-1715,-1798,-1878,-1952,
-2023,-2096,-2174,-2262,-2358,-2462,-2566,-2676,-2777,-2880,-2986,-3100,-3218,-3341,-3469,-3596,-3717,-3836,-3959,-4091,
-4235,-4394,-4560,-4728,-4894,-5055,-5211,-5373,-5538,-5712,-5892,-6073,-6246,-6410,-6568,-6725,-6888,-7058,-7234,-7412,
-7581,-7732,-7864,-7976,-8082,-8181,-8279,-8367,-8436,-8476,-8480,-8442,-8374,-8269,-8130,-7954,-7720,-7425,-7045,-6589,
-6054,-5447,-4774,-4039,-3236,-2365,-1435,-457,552,1567,2565,3530,4439,5278,6039,6705,7271,7743,8120,8415,
8631,8772,8850,8861,8815,8719,8591,8440,8269,8089,7886,7667,7423,7169,6912,6658,6421,6190,5974,5755,
5533,5306,5082,4867,4664,4478,4297,4124,3945,3758,3572,3388,3215,3053,2904,2761,2614,2464,2312,2157,
2011,1875,1752,1635,1522,1402,1279,1151,1028,908,801,698,602,499,393,283,170,57,-41,-136,
-223,-312,-410,-515,-625,-737,-843,-945,-1037,-1135,-1236,-1347,-1465,-1588,-1708,-1826,-1936,-2043,-2156,-2280,
-2412,-2553,-2694,-2836,-2968,-3095,-3227,-3364,-3509,-3666,-3827,-3987,-4139,-4285,-4433,-4588,-4748,-4924,-5105,-5290,
-5463,-5623,-5782,-5940,-6105,-6284,-6468,-6656,-6840,-7006,-7163,-7311,-7450,-7588,-7715,-7830,-7916,-7962,-7961,-7926,
-7849,-7736,-7581,-7378,-7100,-6743,-6292,-5745,-5103,-4369,-3548,-2640,-1648,-583,524,1647,2750,3819,4832,5785,
6665,7464,8166,8764,9253,9643,9944,10160,10309,10389,10398,10338,10217,10055,9859,9655,9442,9221,8989,8740,
8468,8185,7896,7618,7349,7084,6832,6574,6314,6050,5795,5551,5320,5103,4898,4696,4486,4277,4069,3861,
3672,3497,3337,3186,3038,2888,2745,2604,2469,2348,2235,2129,2018,1905,1791,1673,1565,1461,1371,1286,
1207,1125,1047,962,881,802,726,660,591,516,439,360,278,201,130,68,13,-44,-101,-161,
-228,-291,-358,-416,-476,-537,-599,-665,-736,-803,-871,-930,-982,-1034,-1085,-1138,-1198,-1265,-1333,-1403,
-1470,-1536,-1607,-1677,-1758,-1841,-1924,-2008,-2084,-2157,-2233,-2309,-2392,-2485,-2587,-2693,-2797,-2903,-3009,-3113,
-3226,-3345,-3469,-3597,-3723,-3843,-3959,-4079,-4203,-4339,-4489,-4648,-4811,-4971,-5129,-5286,-5445,-5610,-5783,-5965,
-6149,-6332,-6505,-6677,-6844,-7019,-7204,-7399,-7599,-7792,-7969,-8133,-8276,-8410,-8539,-8664,-8783,-8885,-8960,-9005,
-9005,-8972,-8903,-8801,-8656,-8456,-8188,-7837,-7400,-6875,-6273,-5595,-4850,-4037,-3156,-2210,-1212,-169,887,1947,
2975,3963,4891,5741,6501,7162,7717,8171,8533,8812,9008,9132,9181,9164,9089,8976,8832,8665,8482,8280,
8056,7809,7543,7270,6997,6734,6486,6248,6010,5772,5532,5290,5054,4833,4624,4431,4243,4054,3864,3670,
3482,3300,3138,2988,2847,2704,2559,2409,2259,2110,1970,1844,1728,1609,1493,1369,1245,1118,996,888,
785,684,582,477,361,242,127,19,-81,-177,-271,-364,-465,-571,-680,-784,-879,-967,-1054,-1144,
-1244,-1349,-1461,-1569,-1672,-1771,-1865,-1959,-2063,-2177,-2298,-2422,-2543,-2661,-2780,-2894,-3014,-3148,-3290,-3441,
-3588,-3733,-3872,-4009,-4148,-4297,-4460,-4628,-4800,-4966,-5123,-5270,-5416,-5566,-5723,-5888,-6052,-6213,-6362,-6495,
-6616,-6735,-6849,-6959,-7061,-7138,-7190,-7202,-7174,-7113,-7021,-6899,-6738,-6524,-6249,-5902,-5476,-4972,-4387,-3723,
-2974,-2145,-1237,-266,750,1781,2807,3809,4773,5689,6544,7317,8005,8597,9095,9509,9836,10093,10275,10384,
10417,10383,10287,10145,9977,9795,9596,9384,9153,8904,8638,8368,8098,7840,7591,7347,7104,6859,6607,6355,
6111,5879,5666,5458,5259,5060,4854,4648,4443,4248,4065,3900,3736,3581,3424,3266,3109,2964,2825,2701,
2582,2465,2346,2222,2096,1972,1856,1756,1656,1565,1475,1387,1294,1201,1117,1037,963,891,820,743,
659,572,487,409,335,267,204,139,70,-1,-74,-146,-212,-281,-344,-414,-484,-566,-647,-725,
-800,-870,-934,-996,-1062,-1130,-1204,-1277,-1354,-1425,-1497,-1569,-1643,-1724,-1816,-1906,-1994,-2083,-2168,-2243,
-2327,-2412,-2506,-2605,-2709,-2815,-2921,-3024,-3132,-3247,-3372,-3502,-3637,-3774,-3907,-4040,-4166,-4298,-4440,-4594,
-4753,-4919,-5088,-5253,-5414,-5576,-5743,-5921,-6104,-6292,-6478,-6656,-6826,-6988,-7151,-7323,-7502,-7680,-7859,-8023,
-8171,-8302,-8418,-8535,-8636,-8738,-8825,-8894,-8929,-8930,-8886,-8813,-8704,-8553,-8350,-8082,-7731,-7293,-6768,-6164,
-5481,-4727,-3911,-3034,-2099,-1120,-107,921,1935,2924,3869,4755,5566,6294,6918,7439,7863,8193,8437,8604,
8696,8718,8676,8582,8445,8284,8106,7920,7717,7503,7270,7021,6761,6499,6249,6008,5779,5555,5330,5103,
4869,4643,4424,4221,4032,3849,3668,3482,3292,3101,2918,2748,2588,2441,2295,2146,1995,1838,1687,1543,
1410,1287,1171,1055,934,805,676,555,441,334,235,133,32,-86,-202,-315,-426,-534,-627,-722,
-818,-924,-1035,-1146,-1259,-1367,-1468,-1567,-1673,-1781,-1898,-2026,-2151,-2274,-2391,-2499,-2612,-2731,-2857,-2993,
-3135,-3275,-3410,-3541,-3671,-3801,-3940,-4088,-4240,-4395,-4544,-4687,-4827,-4965,-5115,-5273,-5446,-5616,-5785,-5943,
-6090,-6231,-6368,-6511,-6656,-6798,-6939,-7059,-7164,-7253,-7322,-7388,-7435,-7468,-7461,-7410,-7301,-7130,-6897,-6602,
-6249,-5829,-5343,-4777,-4132,-3412,-2625,-1776,-873,77,1057,2057,3054,4026,4953,5814,6602,7317,7950,8499,
8959,9324,9600,9792,9913,9979,10007,9989,9939,9838,9697,9521,9321,9110,8900,8687,8472,8250,8016,7767,
7512,7266,7024,6794,6571,6352,6126,5898,5668,5446,5237,5046,4864,4692,4521,4351,4173,4001,3833,3678,
3531,3393,3258,3125,2988,2859,2735,2621,2515,2421,2328,2235,2135,2032,1930,1829,1732,1648,1567,1487,
1404,1321,1238,1161,1086,1020,957,894,828,753,674,596,517,444,381,316,256,188,120,54,
-13,-77,-135,-190,-249,-315,-384,-457,-532,-609,-675,-741,-803,-866,-938,-1010,-1083,-1161,-1234,-1307,
-1382,-1459,-1546,-1638,-1739,-1839,-1937,-2033,-2123,-2216,-2311,-2411,-2518,-2631,-2747,-2860,-2973,-3087,-3208,-3335,
-3471,-3613,-3757,-3899,-4035,-4169,-4304,-4446,-4596,-4758,-4928,-5097,-5265,-5426,-5591,-5757,-5930,-6113,-6300,-6484,
-6663,-6829,-6989,-7143,-7299,-7457,-7619,-7778,-7919,-8038,-8128,-8197,-8244,-8272,-8286,-8273,-8221,-8127,-7981,-7781,
-7526,-7214,-6843,-6409,-5892,-5289,-4595,-3821,-2973,-2069,-1129,-165,811,1778,2725,3627,4480,5274,6000,6661,
7246,7758,8184,8511,8754,8914,9003,9031,9009,8938,8825,8669,8481,8267,8045,7820,7596,7372,7147,6909,
6661,6405,6146,5899,5661,5439,5222,5006,4789,4568,4354,4148,3956,3776,3606,3441,3269,3096,2922,2750,
2589,2441,2298,2164,2028,1887,1745,1602,1460,1330,1206,1092,972,853,726,595,468,345,236,126,
21,-92,-204,-324,-447,-568,-680,-784,-884,-988,-1091,-1206,-1322,-1438,-1549,-1657,-1762,-1866,-1977,-2095,
-2221,-2353,-2483,-2605,-2724,-2842,-2966,-3097,-3238,-3389,-3538,-3687,-3831,-3974,-4118,-4270,-4428,-4601,-4773,-4943,
-5109,-5267,-5426,-5589,-5757,-5939,-6124,-6307,-6478,-6641,-6791,-6938,-7078,-7225,-7367,-7498,-7616,-7706,-7779,-7832,
-7865,-7879,-7874,-7830,-7739,-7582,-7354,-7050,-6674,-6220,-5694,-5084,-4395,-3623,-2778,-1867,-899,112,1152,2210,
3259,4285,5258,6164,6988,7721,8360,8903,9351,9700,9952,10104,10174,10173,10125,10036,9918,9767,9592,9377,
9137,8884,8619,8357,8106,7854,7602,7346,7081,6817,6556,6300,6061,5834,5612,5389,5162,4937,4718,4505,
4311,4132,3962,3797,3630,3464,3296,3133,2978,2834,2698,2566,2433,2302,2173,2044,1927,1823,1726,1639,
1547,1455,1360,1265,1169,1082,999,921,845,769,689,613,536,468,404,346,288,230,167,99,
27,-43,-111,-175,-236,-296,-359,-423,-490,-556,-616,-673,-730,-784,-843,-906,-975,-1046,-1115,-1183,
-1245,-1308,-1370,-1435,-1501,-1574,-1647,-1716,-1786,-1854,-1927,-2001,-2083,-2175,-2269,-2362,-2452,-2541,-2631,-2722,
-2817,-2920,-3029,-3142,-3256,-3368,-3482,-3601,-3726,-3860,-4005,-4152,-4300,-4444,-4586,-4728,-4873,-5027,-5193,-5361,
-5535,-5709,-5880,-6048,-6213,-6389,-6572,-6756,-6945,-7125,-7295,-7454,-7609,-7761,-7922,-8078,-8241,-8387,-8517,-8619,
-8699,-8755,-8795,-8815,-8811,-8773,-8688,-8555,-8359,-8106,-7795,-7418,-6971,-6440,-5812,-5084,-4256,-3342,-2360,-1329,
-263,814,1884,2921,3908,4831,5673,6436,7118,7713,8220,8635,8953,9175,9309,9368,9367,9314,9213,9071,
8890,8677,8443,8196,7948,7708,7474,7241,7004,6761,6512,6263,6017,5787,5565,5355,5144,4937,4725,4515,
4311,4118,3942,3773,3608,3445,3280,3112,2947,2790,2645,2508,2379,2251,2123,1987,1851,1722,1597,1481,
1372,1268,1161,1051,935,823,713,611,515,422,324,227,119,6,-105,-212,-312,-409,-503,-604,
-709,-819,-931,-1039,-1145,-1247,-1351,-1458,-1572,-1697,-1825,-1954,-2078,-2198,-2317,-2433,-2559,-2693,-2830,-2974,
-3114,-3255,-3391,-3528,-3668,-3822,-3980,-4145,-4309,-4470,-4622,-4771,-4923,-5083,-5252,-5430,-5609,-5783,-5951,-6108,
-6258,-6407,-6560,-6709,-6853,-6981,-7087,-7173,-7234,-7279,-7305,-7310,-7293,-7228,-7111,-6928,-6673,-6345,-5948,-5472,
-4922,-4290,-3580,-2793,-1942,-1034,-89,887,1876,2871,3845,4790,5684,6512,7263,7933,8522,9025,9434,9746,
9968,10106,10168,10176,10137,10067,9964,9828,9657,9458,9230,8989,8745,8501,8259,8016,7764,7510,7245,6980,
6726,6483,6249,6022,5797,5569,5338,5111,4890,4684,4490,4312,4141,3971,3804,3633,3470,3315,3169,3029,
2897,2763,2631,2493,2363,2239,2123,2016,1915,1822,1727,1628,1527,1430,1333,1246,1157,1076,992,908,
819,735,655,579,512,448,386,319,245,172,98,25,-46,-112,-178,-244,-314,-381,-454,-520,
-584,-643,-704,-761,-828,-897,-969,-1044,-1119,-1189,-1260,-1326,-1400,-1477,-1554,-1634,-1713,-1791,-1865,-1941,
-2021,-2111,-2203,-2307,-2409,-2512,-2613,-2706,-2806,-2909,-3014,-3127,-3247,-3363,-3478,-3594,-3713,-3839,-3976,-4120,
-4270,-4426,-4576,-4727,-4871,-5022,-5173,-5335,-5508,-5685,-5862,-6035,-6205,-6378,-6557,-6742,-6932,-7130,-7322,-7501,
-7667,-7824,-7977,-8126,-8279,-8429,-8571,-8693,-8791,-8866,-8912,-8936,-8940,-8917,-8860,-8760,-8602,-8384,-8109,-7771,
-7376,-6916,-6382,-5766,-5059,-4266,-3393,-2457,-1478,-462,560,1573,2561,3501,4373,5175,5894,6533,7095,7576,
7977,8291,8518,8662,8738,8751,8712,8631,8504,8344,8144,7915,7669,7418,7170,6927,6691,6455,6212,5962,
5714,5470,5235,5012,4799,4590,4384,4174,3963,3757,3562,3379,3205,3044,2885,2721,2557,2392,2233,2080,
1940,1807,1678,1545,1410,1272,1132,1002,876,761,650,538,421,302,183,65,-47,-153,-253,-350,
-455,-563,-677,-793,-902,-1006,-1102,-1197,-1297,-1398,-1505,-1617,-1724,-1832,-1934,-2033,-2136,-2246,-2365,-2492,
-2620,-2748,-2868,-2985,-3104,-3229,-3361,-3502,-3645,-3792,-3933,-4072,-4212,-4352,-4497,-4656,-4820,-4984,-5144,-5294,
-5436,-5580,-5724,-5878,-6037,-6201,-6355,-6501,-6633,-6756,-6872,-6981,-7084,-7181,-7257,-7302,-7321,-7311,-7270,-7199,
-7103,-6969,-6788,-6544,-6226,-5828,-5344,-4783,-4135,-3415,-2617,-1753,-825,137,1127,2122,3107,4065,4988,5862,
6677,7416,8070,8637,9117,9514,9830,10062,10215,10291,10294,10242,10140,10014,9862,9696,9512,9308,9081,8842,
8592,8346,8101,7863,7631,7399,7162,6920,6679,6444,6220,6008,5804,5606,5402,5196,4994,4790,4604,4425,
4260,4104,3952,3797,3643,3493,3347,3209,3081,2957,2836,2712,2588,2464,2345,2233,2130,2042,1954,1865,
1776,1683,1594,1505,1421,1340,1265,1187,1109,1027,945,866,793,724,663,600,536,470,394,321,
247,176,107,42,-29,-99,-173,-244,-319,-386,-447,-508,-570,-635,-704,-779,-856,-938,-1013,-1083,
-1158,-1232,-1309,-1394,-1478,-1560,-1641,-1720,-1800,-1880,-1968,-2066,-2166,-2275,-2382,-2491,-2592,-2697,-2807,-2918,
-3039,-3164,-3290,-3412,-3536,-3660,-3786,-3922,-4073,-4230,-4391,-4548,-4704,-4858,-5008,-5163,-5324,-5496,-5668,-5843,
-6008,-6173,-6333,-6496,-6664,-6840,-7016,-7189,-7350,-7496,-7624,-7742,-7856,-7971,-8076,-8168,-8240,-8287,-8294,-8269,
-8213,-8120,-7992,-7810,-7571,-7267,-6882,-6423,-5894,-5294,-4629,-3891,-3087,-2210,-1278,-300,700,1705,2691,3643,
4544,5373,6124,6783,7349,7820,8205,8509,8744,8905,8998,9028,8998,8922,8808,8664,8504,8323,8118,7894,
7652,7399,7145,6895,6656,6425,6198,5968,5740,5503,5273,5050,4839,4637,4445,4251,4055,3859,3661,3474,
3293,3125,2965,2807,2651,2488,2327,2168,2016,1878,1747,1616,1491,1359,1228,1094,959,837,723,604,
491,378,255,130,8,-110,-221,-326,-430,-538,-652,-769,-889,-1011,-1125,-1235,-1346,-1453,-1571,-1693,
-1822,-1946,-2069,-2189,-2305,-2421,-2545,-2675,-2813,-2956,-3098,-3236,-3373,-3505,-3644,-3785,-3939,-4098,-4257,-4415,
-4567,-4719,-4874,-5031,-5199,-5377,-5555,-5732,-5904,-6066,-6225,-6383,-6547,-6718,-6890,-7058,-7213,-7356,-7484,-7599,
-7704,-7799,-7877,-7931,-7945,-7921,-7846,-7728,-7563,-7350,-7085,-6757,-6349,-5862,-5283,-4617,-3863,-3035,-2137,-1172,
-161,889,1941,2980,3977,4924,5806,6620,7354,8002,8558,9019,9387,9668,9874,10014,10087,10101,10053,9953,
9804,9628,9427,9218,9003,8778,8542,8293,8030,7764,7493,7233,6986,6742,6500,6256,6015,5770,5533,5307,
5094,4892,4697,4503,4308,4112,3921,3736,3565,3406,3255,3111,2966,2824,2682,2548,2419,2300,2189,2079,
1969,1855,1741,1628,1523,1426,1335,1250,1171,1087,1002,916,833,755,681,607,536,461,383,303,
226,152,84,20,-39,-95,-156,-224,-291,-357,-421,-487,-549,-609,-678,-744,-814,-885,-948,-1007,
-1066,-1120,-1180,-1241,-1308,-1376,-1450,-1522,-1593,-1660,-1735,-1810,-1891,-1975,-2057,-2140,-2220,-2297,-2377,-2459,
-2546,-2645,-2749,-2851,-2957,-3062,-3164,-3274,-3387,-3506,-3629,-3752,-3877,-3999,-4119,-4244,-4376,-4518,-4672,-4827,
-4988,-5143,-5298,-5454,-5612,-5778,-5948,-6124,-6301,-6472,-6637,-6799,-6961,-7131,-7301,-7473,-7643,-7805,-7950,-8079,
-8193,-8296,-8391,-8479,-8548,-8598,-8616,-8597,-8539,-8443,-8304,-8125,-7892,-7597,-7226,-6776,-6244,-5637,-4961,-4214,
-3406,-2532,-1608,-635,371,1388,2396,3376,4315,5191,5995,6720,7346,7877,8308,8646,8904,9085,9198,9250,
9235,9168,9057,8914,8746,8561,8361,8149,7915,7670,7411,7148,6893,6648,6408,6179,5953,5723,5495,5264,
5048,4841,4645,4459,4275,4094,3910,3725,3545,3375,3214,3063,2917,2771,2623,2470,2321,2177,2041,1915,
1794,1672,1548,1420,1291,1170,1047,933,828,718,610,494,376,260,145,35,-66,-163,-264,-367,
-478,-586,-695,-802,-905,-1001,-1102,-1210,-1322,-1439,-1557,-1674,-1788,-1898,-2007,-2124,-2247,-2378,-2510,-2650,
-2788,-2922,-3054,-3189,-3331,-3479,-3635,-3793,-3951,-4104,-4257,-4408,-4564,-4729,-4899,-5074,-5250,-5418,-5578,-5730,
-5886,-6041,-6199,-6361,-6520,-6674,-6809,-6934,-7048,-7154,-7246,-7325,-7382,-7413,-7399,-7341,-7236,-7087,-6887,-6636,
-6331,-5953,-5493,-4950,-4320,-3607,-2808,-1936,-996,-3,1036,2093,3141,4159,5124,6033,6871,7625,8294,8866,
9340,9718,10003,10213,10352,10427,10441,10396,10297,10154,9970,9767,9553,9329,9098,8861,8607,8347,8074,7805,
7543,7286,7039,6795,6551,6309,6064,5827,5597,5379,5172,4977,4778,4582,4382,4186,3996,3818,3645,3485,
3333,3185,3035,2887,2744,2612,2487,2367,2254,2138,2025,1906,1790,1677,1572,1471,1381,1293,1207,1120,
1030,947,863,784,711,637,558,479,396,314,231,156,85,17,-49,-113,-183,-256,-327,-396,
-464,-532,-599,-669,-741,-817,-893,-968,-1037,-1099,-1164,-1226,-1294,-1361,-1436,-1513,-1588,-1663,-1739,-1817,
-1899,-1986,-2072,-2166,-2257,-2344,-2428,-2515,-2604,-2697,-2800,-2905,-3020,-3132,-3246,-3359,-3477,-3598,-3727,-3860,
-3998,-4130,-4265,-4398,-4534,-4673,-4819,-4977,-5143,-5308,-5472,-5639,-5803,-5968,-6137,-6310,-6490,-6674,-6849,-7023,
-7190,-7356,-7522,-7695,-7870,-8043,-8208,-8360,-8496,-8614,-8720,-8816,-8906,-8977,-9028,-9049,-9035,-8982,-8888,-8748,
-8565,-8328,-8024,-7644,-7177,-6624,-5989,-5276,-4496,-3655,-2757,-1814,-831,172,1177,2167,3123,4029,4877,5652,
6341,6940,7441,7846,8155,8380,8533,8620,8644,8611,8530,8406,8254,8081,7893,7697,7490,7266,7032,6786,
6535,6287,6043,5810,5589,5367,5145,4925,4703,4490,4282,4092,3907,3729,3551,3370,3186,3012,2843,2684,
2536,2394,2251,2109,1965,1822,1683,1551,1427,1309,1197,1080,961,843,721,607,499,393,293,191,
82,-27,-143,-253,-361,-464,-560,-661,-762,-867,-975,-1084,-1191,-1296,-1396,-1497,-1604,-1712,-1829,-1950,
-2069,-2185,-2299,-2409,-2526,-2642,-2768,-2903,-3038,-3170,-3302,-3432,-3565,-3699,-3843,-3992,-4146,-4298,-4450,-4596,
-4745,-4894,-5052,-5216,-5388,-5555,-5720,-5876,-6031,-6175,-6318,-6463,-6611,-6751,-6884,-7001,-7104,-7186,-7255,-7306,
-7345,-7348,-7319,-7239,-7108,-6918,-6668,-6357,-5988,-5550,-5045,-4460,-3804,-3070,-2268,-1402,-484,478,1473,2476,
3475,4436,5348,6202,6981,7687,8308,8840,9284,9631,9895,10078,10194,10253,10267,10234,10159,10035,9878,9692,
9482,9264,9046,8819,8588,8348,8100,7844,7590,7337,7095,6860,6629,6399,6172,5942,5718,5500,5297,5105,
4923,4745,4568,4391,4216,4041,3875,3719,3571,3431,3292,3156,3021,2891,2764,2649,2539,2437,2334,2230,
2126,2018,1912,1810,1719,1629,1545,1461,1376,1292,1210,1133,1057,988,920,850,775,701,624,545,
470,400,330,266,201,136,68,-1,-67,-132,-196,-261,-328,-399,-469,-547,-622,-696,-765,-833,
-901,-969,-1042,-1120,-1200,-1280,-1357,-1437,-1519,-1603,-1692,-1788,-1886,-1986,-2081,-2177,-2271,-2365,-2464,-2569,
-2680,-2792,-2911,-3028,-3145,-3267,-3392,-3526,-3664,-3804,-3948,-4091,-4232,-4370,-4515,-4664,-4825,-4989,-5161,-5330,
-5504,-5673,-5839,-6010,-6189,-6369,-6549,-6729,-6900,-7065,-7220,-7374,-7528,-7680,-7836,-7976,-8100,-8205,-8286,-8347,
-8390,-8414,-8417,-8393,-8331,-8229,-8074,-7871,-7614,-7306,-6931,-6487,-5959,-5352,-4658,-3889,-3054,-2175,-1254,-313,
642,1597,2526,3422,4270,5060,5783,6438,7022,7517,7932,8255,8491,8646,8732,8759,8730,8658,8542,8389,
8207,8005,7792,7574,7354,7131,6901,6663,6420,6173,5927,5692,5463,5246,5029,4818,4605,4392,4184,3987,
3802,3622,3448,3279,3106,2934,2761,2598,2439,2292,2146,2008,1866,1722,1577,1437,1301,1172,1048,930,
808,687,560,436,317,201,92,-19,-126,-235,-353,-471,-587,-701,-808,-913,-1015,-1118,-1227,-1340,
-1453,-1567,-1678,-1786,-1894,-2006,-2122,-2245,-2375,-2504,-2633,-2759,-2883,-3006,-3136,-3276,-3416,-3565,-3714,-3863,
-4007,-4153,-4299,-4456,-4614,-4782,-4946,-5110,-5268,-5424,-5579,-5741,-5909,-6080,-6258,-6426,-6590,-6743,-6886,-7020,
-7159,-7291,-7417,-7531,-7629,-7702,-7757,-7790,-7799,-7781,-7729,-7631,-7476,-7250,-6952,-6578,-6128,-5597,-4990,-4303,
-3542,-2715,-1820,-871,121,1146,2181,3207,4207,5163,6050,6864,7589,8223,8766,9212,9567,9831,10003,10095,
10116,10086,10013,9907,9774,9610,9420,9204,8969,8721,8475,8224,7979,7736,7490,7239,6987,6734,6486,6246,
6017,5791,5570,5352,5135,4917,4707,4507,4321,4148,3978,3815,3648,3487,3326,3167,3020,2880,2745,2614,
2487,2359,2235,2120,2009,1908,1810,1721,1630,1539,1443,1349,1259,1172,1091,1010,936,860,782,708,
634,568,503,441,379,317,248,179,109,39,-28,-92,-158,-215,-280,-345,-409,-469,-532,-590,
-647,-706,-767,-833,-902,-973,-1044,-1109,-1172,-1237,-1302,-1369,-1439,-1513,-1583,-1657,-1733,-1804,-1880,-1970,
-2054,-2149,-2244,-2340,-2435,-2526,-2617,-2714,-2817,-2921,-3033,-3146,-3263,-3379,-3497,-3623,-3749,-3887,-4031,-4178,
-4325,-4466,-4607,-4748,-4897,-5051,-5213,-5380,-5547,-5718,-5883,-6048,-6215,-6387,-6564,-6740,-6915,-7084,-7243,-7390,
-7536,-7678,-7821,-7959,-8092,-8204,-8296,-8362,-8403,-8419,-8415,-8380,-8314,-8207,-8045,-7831,-7558,-7217,-6817,-6348,
-5804,-5179,-4463,-3663,-2793,-1861,-886,107,1110,2096,3055,3968,4822,5603,6311,6942,7495,7969,8361,8672,
8901,9047,9125,9139,9103,9020,8899,8745,8563,8354,8136,7904,7674,7445,7218,6991,6758,6521,6282,6044,
5808,5588,5369,5161,4954,4743,4538,4336,4141,3953,3777,3606,3444,3278,3112,2946,2785,2632,2485,2347,
2215,2078,1943,1806,1669,1536,1409,1292,1174,1059,941,823,702,582,464,357,249,146,33,-78,
-196,-315,-430,-543,-652,-755,-862,-972,-1085,-1203,-1321,-1435,-1547,-1658,-1772,-1890,-2015,-2141,-2274,-2406,
-2535,-2661,-2786,-2918,-3050,-3197,-3344,-3493,-3641,-3789,-3934,-4084,-4238,-4402,-4569,-4737,-4904,-5069,-5228,-5390,
-5558,-5725,-5901,-6078,-6253,-6422,-6580,-6729,-6870,-7008,-7139,-7262,-7368,-7460,-7523,-7561,-7579,-7568,-7522,-7449,
-7323,-7144,-6894,-6570,-6166,-5680,-5120,-4473,-3751,-2957,-2099,-1186,-226,766,1772,2779,3769,4726,5636,6479,
7245,7928,8526,9030,9445,9771,10009,10167,10234,10242,10196,10108,9989,9842,9670,9474,9257,9017,8769,8513,
8257,8005,7752,7502,7248,6992,6735,6483,6240,6003,5776,5556,5334,5115,4896,4683,4484,4292,4113,3938,
3774,3608,3448,3287,3130,2980,2836,2701,2567,2434,2304,2176,2051,1935,1824,1723,1626,1529,1433,1337,
1240,1142,1048,959,874,792,706,624,545,462,385,313,247,180,111,42,-32,-106,-182,-255,
-327,-396,-465,-534,-606,-677,-748,-815,-879,-943,-1006,-1075,-1144,-1218,-1294,-1373,-1448,-1523,-1595,-1670,
-1746,-1821,-1904,-1984,-2064,-2142,-2221,-2305,-2390,-2486,-2583,-2686,-2787,-2887,-2986,-3087,-3189,-3295,-3404,-3521,
-3639,-3758,-3879,-4002,-4125,-4259,-4398,-4545,-4699,-4850,-4997,-5148,-5297,-5449,-5604,-5771,-5942,-6114,-6282,-6455,
-6622,-6791,-6966,-7145,-7322,-7499,-7667,-7825,-7975,-8114,-8250,-8379,-8508,-8625,-8729,-8807,-8867,-8891,-8893,-8868,
-8816,-8726,-8595,-8410,-8170,-7864,-7499,-7074,-6576,-6010,-5363,-4638,-3829,-2949,-2009,-1031,-32,975,1963,2920,
3821,4661,5426,6112,6716,7238,7683,8050,8337,8544,8674,8736,8740,8689,8599,8478,8315,8127,7917,7689,
7455,7218,6983,6754,6524,6296,6066,5833,5604,5376,5160,4952,4751,4552,4356,4156,3963,3774,3595,3426,
3261,3102,2945,2785,2629,2472,2321,2181,2048,1914,1786,1655,1523,1392,1259,1137,1019,906,795,684,
568,452,336,224,118,15,-85,-185,-292,-400,-511,-625,-731,-832,-933,-1032,-1136,-1243,-1356,-1468,
-1581,-1689,-1799,-1908,-2022,-2140,-2269,-2399,-2529,-2659,-2789,-2914,-3043,-3176,-3317,-3467,-3613,-3761,-3907,-4050,
-4195,-4347,-4503,-4666,-4830,-4992,-5151,-5305,-5456,-5610,-5762,-5925,-6090,-6244,-6398,-6545,-6675,-6800,-6917,-7025,
-7119,-7198,-7250,-7278,-7274,-7238,-7169,-7063,-6918,-6720,-6458,-6124,-5713,-5216,-4636,-3972,-3231,-2416,-1533,-602,
374,1370,2369,3354,4310,5227,6091,6892,7615,8257,8807,9269,9648,9943,10159,10300,10365,10370,10314,10212,
10079,9922,9747,9558,9349,9129,8890,8646,8391,8145,7897,7658,7418,7178,6939,6697,6459,6228,6004,5793,
5580,5377,5170,4964,4763,4569,4385,4211,4047,3889,3736,3582,3431,3283,3139,3006,2878,2750,2628,2504,
2382,2261,2148,2039,1944,1849,1759,1668,1575,1485,1397,1308,1226,1141,1061,978,896,812,730,654,
581,513,445,376,307,234,160,85,11,-61,-134,-205,-277,-349,-423,-500,-567,-634,-701,-764,
-830,-900,-975,-1051,-1128,-1207,-1286,-1363,-1440,-1520,-1602,-1688,-1777,-1861,-1946,-2029,-2114,-2205,-2303,-2407,
-2517,-2625,-2739,-2846,-2962,-3071,-3189,-3312,-3436,-3563,-3693,-3823,-3951,-4086,-4228,-4377,-4531,-4690,-4852,-5013,
-5171,-5328,-5490,-5654,-5824,-5995,-6172,-6347,-6517,-6687,-6857,-7029,-7207,-7379,-7553,-7720,-7874,-8014,-8143,-8264,
-8377,-8484,-8575,-8655,-8703,-8722,-8707,-8655,-8572,-8445,-8270,-8046,-7757,-7397,-6967,-6462,-5888,-5247,-4538,-3765,
-2925,-2023,-1077,-98,889,1867,2815,3715,4555,5325,6010,6613,7122,7550,7898,8168,8368,8502,8574,8584,
8543,8460,8341,8199,8029,7840,7631,7406,7169,6923,6681,6442,6212,5983,5758,5532,5306,5080,4858,4646,
4444,4244,4055,3862,3674,3481,3299,3121,2953,2793,2638,2484,2331,2175,2026,1880,1739,1606,1479,1354,
1227,1100,969,842,721,599,488,376,264,147,28,-89,-205,-318,-422,-528,-633,-739,-855,-967,
-1081,-1193,-1302,-1408,-1514,-1622,-1736,-1853,-1972,-2087,-2206,-2318,-2431,-2549,-2672,-2801,-2935,-3069,-3206,-3337,
-3472,-3604,-3742,-3887,-4035,-4185,-4341,-4492,-4643,-4794,-4948,-5112,-5279,-5445,-5617,-5782,-5941,-6097,-6252,-6408,
-6564,-6724,-6878,-7028,-7161,-7287,-7398,-7499,-7582,-7648,-7692,-7708,-7683,-7621,-7516,-7371,-7177,-6931,-6620,-6249,
-5798,-5265,-4649,-3953,-3179,-2332,-1425,-462,542,1564,2575,3566,4510,5404,6237,6999,7685,8288,8798,9219,
9551,9804,9985,10100,10150,10141,10079,9968,9819,9642,9453,9248,9035,8811,8574,8329,8076,7819,7563,7317,
7075,6839,6603,6367,6132,5902,5679,5467,5262,5066,4871,4678,4486,4295,4115,3943,3776,3622,3472,3329,
3186,3044,2911,2780,2655,2536,2423,2308,2195,2079,1968,1862,1759,1665,1576,1492,1407,1322,1239,1159,
1077,1000,926,848,778,698,623,547,475,403,339,274,215,150,86,19,-45,-115,-180,-247,
-313,-380,-451,-521,-590,-660,-726,-786,-849,-911,-978,-1047,-1119,-1195,-1269,-1345,-1422,-1499,-1581,-1663,
-1746,-1833,-1922,-2003,-2089,-2174,-2261,-2355,-2453,-2557,-2664,-2773,-2885,-2997,-3109,-3226,-3346,-3469,-3600,-3728,
-3856,-3988,-4119,-4258,-4404,-4559,-4717,-4880,-5041,-5205,-5365,-5531,-5694,-5864,-6036,-6214,-6387,-6557,-6726,-6892,
-7057,-7224,-7393,-7555,-7714,-7859,-7989,-8102,-8205,-8295,-8373,-8439,-8481,-8502,-8485,-8432,-8337,-8201,-8019,-7787,
-7493,-7131,-6692,-6178,-5584,-4920,-4188,-3396,-2545,-1642,-701,277,1262,2245,3200,4109,4963,5747,6451,7069,
7591,8022,8365,8626,8810,8928,8986,8983,8927,8830,8700,8544,8363,8172,7962,7739,7498,7257,7007,6758,
6513,6279,6049,5825,5602,5378,5157,4943,4735,4537,4345,4157,3974,3788,3603,3427,3251,3085,2927,2773,
2626,2475,2322,2175,2026,1886,1754,1625,1500,1374,1247,1121,993,872,753,639,528,415,300,183,
68,-50,-162,-268,-375,-481,-588,-695,-808,-924,-1033,-1143,-1254,-1361,-1472,-1583,-1705,-1825,-1950,-2067,
-2189,-2306,-2428,-2554,-2686,-2824,-2964,-3105,-3244,-3384,-3524,-3669,-3813,-3969,-4127,-4283,-4438,-4593,-4749,-4905,
-5066,-5234,-5405,-5576,-5744,-5907,-6063,-6217,-6372,-6524,-6679,-6831,-6972,-7107,-7229,-7336,-7429,-7505,-7566,-7598,
-7599,-7561,-7475,-7344,-7157,-6915,-6617,-6257,-5823,-5314,-4720,-4050,-3300,-2477,-1586,-642,353,1376,2403,3408,
4374,5283,6131,6899,7594,8202,8722,9150,9488,9738,9917,10026,10078,10077,10024,9924,9782,9611,9416,9205,
8985,8760,8524,8284,8034,7780,7522,7266,7017,6773,6534,6299,6063,5828,5600,5376,5161,4956,4757,4565,
4373,4183,3996,3814,3637,3470,3311,3160,3010,2868,2729,2591,2461,2337,2216,2104,1994,1880,1768,1659,
1548,1444,1347,1255,1165,1081,994,911,827,746,669,592,519,443,364,286,207,130,57,-16,
-83,-150,-214,-280,-348,-419,-484,-553,-618,-686,-755,-826,-896,-970,-1039,-1109,-1174,-1238,-1306,-1371,
-1440,-1512,-1586,-1659,-1737,-1813,-1895,-1976,-2059,-2146,-2240,-2329,-2418,-2507,-2596,-2685,-2780,-2879,-2984,-3091,
-3203,-3317,-3434,-3550,-3671,-3794,-3924,-4053,-4190,-4320,-4455,-4589,-4726,-4869,-5025,-5180,-5343,-5505,-5669,-5834,
-5996,-6160,-6331,-6502,-6678,-6851,-7021,-7185,-7348,-7508,-7671,-7832,-7990,-8141,-8282,-8408,-8514,-8604,-8679,-8741,
-8785,-8806,-8796,-8756,-8672,-8546,-8372,-8144,-7861,-7513,-7093,-6593,-6015,-5353,-4622,-3827,-2976,-2080,-1147,-190,
779,1744,2686,3591,4444,5236,5957,6598,7150,7615,7989,8277,8486,8624,8698,8714,8676,8597,8480,8334,
8167,7984,7788,7583,7365,7138,6904,6663,6420,6183,5951,5730,5509,5295,5080,4868,4658,4458,4265,4081,
3902,3726,3550,3376,3202,3036,2878,2725,2579,2436,2292,2152,2008,1867,1733,1605,1481,1359,1241,1124,
1000,877,759,641,531,421,311,201,88,-28,-140,-253,-361,-468,-571,-674,-780,-890,-1002,-1113,
-1223,-1332,-1439,-1546,-1659,-1779,-1898,-2021,-2142,-2262,-2381,-2502,-2621,-2756,-2888,-3028,-3168,-3308,-3449,-3589,
-3729,-3878,-4029,-4183,-4341,-4499,-4654,-4808,-4965,-5123,-5288,-5455,-5623,-5788,-5948,-6097,-6244,-6384,-6525,-6657,
-6789,-6909,-7017,-7107,-7180,-7234,-7265,-7275,-7251,-7188,-7078,-6915,-6692,-6403,-6052,-5636,-5151,-4592,-3961,-3256,
-2483,-1646,-756,182,1157,2153,3147,4119,5054,5931,6739,7467,8118,8682,9161,9548,9850,10068,10208,10284,
10307,10283,10217,10113,9971,9799,9604,9386,9162,8928,8691,8456,8213,7964,7715,7460,7211,6968,6732,6496,
6268,6040,5815,5594,5382,5175,4980,4793,4611,4433,4258,4084,3913,3745,3586,3438,3289,3147,3008,2875,
2743,2619,2497,2385,2274,2167,2061,1953,1846,1741,1638,1544,1450,1360,1274,1189,1104,1022,940,863,
789,715,640,564,486,407,330,250,177,104,37,-32,-103,-174,-242,-313,-382,-451,-520,-591,
-662,-738,-815,-892,-967,-1042,-1113,-1183,-1256,-1330,-1408,-1486,-1568,-1648,-1733,-1815,-1904,-1993,-2090,-2187,
-2285,-2384,-2481,-2579,-2676,-2779,-2882,-2996,-3112,-3226,-3348,-3471,-3594,-3723,-3859,-3996,-4138,-4284,-4430,-4574,
-4718,-4864,-5019,-5177,-5340,-5511,-5683,-5855,-6027,-6201,-6374,-6549,-6725,-6906,-7080,-7254,-7417,-7578,-7733,-7886,
-8040,-8185,-8324,-8452,-8558,-8644,-8710,-8754,-8778,-8780,-8754,-8693,-8595,-8442,-8248,-7991,-7677,-7298,-6846,-6319,
-5709,-5015,-4245,-3409,-2515,-1582,-626,343,1308,2254,3165,4024,4828,5565,6229,6815,7321,7740,8071,8314,
8480,8576,8609,8585,8513,8402,8258,8081,7888,7681,7464,7244,7020,6793,6562,6324,6083,5845,5607,5381,
5159,4946,4734,4525,4319,4114,3917,3727,3547,3371,3203,3034,2864,2695,2532,2374,2223,2079,1936,1799,
1658,1519,1379,1244,1118,990,872,753,635,517,394,278,160,49,-57,-164,-274,-385,-498,-610,
-722,-832,-936,-1040,-1142,-1251,-1358,-1468,-1581,-1693,-1802,-1910,-2020,-2136,-2254,-2378,-2505,-2633,-2757,-2882,
-3004,-3133,-3264,-3401,-3544,-3692,-3834,-3977,-4118,-4266,-4414,-4568,-4728,-4887,-5047,-5203,-5358,-5515,-5671,-5834,
-5998,-6167,-6329,-6489,-6635,-6780,-6916,-7044,-7168,-7287,-7392,-7482,-7551,-7597,-7622,-7619,-7590,-7525,-7412,-7249,
-7017,-6715,-6344,-5894,-5373,-4775,-4105,-3361,-2549,-1680,-759,196,1178,2170,3159,4119,5042,5910,6702,7419,
8051,8593,9045,9410,9691,9889,10010,10065,10062,10012,9931,9813,9668,9502,9310,9093,8868,8633,8397,8159,
7922,7682,7440,7195,6951,6709,6472,6239,6017,5795,5580,5363,5153,4946,4748,4556,4377,4207,4043,3876,
3714,3555,3398,3248,3104,2969,2837,2705,2581,2458,2337,2226,2122,2022,1926,1831,1738,1642,1545,1455,
1363,1275,1196,1115,1037,959,882,808,736,665,602,538,469,397,328,257,188,117,48,-14,
-82,-144,-209,-272,-338,-400,-466,-524,-586,-650,-718,-787,-859,-931,-998,-1068,-1136,-1204,-1274,-1345,
-1420,-1498,-1576,-1651,-1731,-1814,-1898,-1988,-2086,-2184,-2284,-2381,-2476,-2578,-2678,-2780,-2890,-3003,-3122,-3241,
-3360,-3487,-3614,-3746,-3884,-4031,-4177,-4326,-4472,-4620,-4766,-4916,-5074,-5239,-5408,-5580,-5750,-5921,-6092,-6261,
-6439,-6614,-6794,-6970,-7140,-7305,-7460,-7610,-7756,-7898,-8037,-8164,-8277,-8371,-8443,-8489,-8512,-8505,-8473,-8407,
-8300,-8150,-7944,-7681,-7355,-6966,-6505,-5973,-5362,-4664,-3892,-3045,-2139,-1188,-210,779,1760,2719,3632,4494,
5287,6013,6663,7236,7732,8148,8480,8731,8903,9002,9036,9015,8946,8839,8695,8521,8325,8108,7881,7650,
7420,7188,6957,6721,6483,6243,6005,5769,5540,5320,5107,4895,4686,4481,4277,4083,3891,3709,3537,3368,
3199,3034,2867,2705,2548,2397,2255,2117,1976,1840,1702,1566,1428,1298,1174,1054,932,812,692,572,
448,326,215,101,-12,-120,-233,-352,-470,-590,-703,-809,-923,-1030,-1141,-1255,-1370,-1491,-1605,-1720,
-1836,-1949,-2067,-2191,-2321,-2454,-2584,-2716,-2846,-2977,-3108,-3245,-3387,-3535,-3683,-3834,-3984,-4134,-4282,-4439,
-4596,-4763,-4929,-5095,-5258,-5419,-5578,-5739,-5900,-6069,-6238,-6405,-6566,-6717,-6857,-6994,-7120,-7238,-7347,-7439,
-7513,-7567,-7594,-7595,-7568,-7510,-7414,-7273,-7074,-6809,-6473,-6062,-5572,-5007,-4364,-3649,-2863,-2020,-1125,-189,
770,1742,2708,3656,4571,5440,6249,6988,7644,8215,8699,9097,9411,9647,9802,9879,9898,9862,9782,9672,
9532,9370,9186,8982,8757,8525,8282,8037,7795,7554,7311,7070,6828,6584,6343,6108,5879,5657,5443,5228,
5018,4810,4607,4408,4221,4043,3872,3711,3549,3393,3237,3081,2933,2793,2657,2523,2395,2269,2143,2022,
1905,1800,1697,1598,1503,1410,1316,1220,1125,1035,950,862,781,701,623,542,462,387,316,250,
183,117,48,-24,-97,-170,-243,-313,-383,-451,-519,-589,-658,-724,-794,-860,-924,-988,-1053,-1121,
-1194,-1272,-1346,-1421,-1498,-1569,-1645,-1719,-1795,-1876,-1956,-2035,-2117,-2199,-2283,-2369,-2462,-2560,-2662,-2762,
-2865,-2967,-3066,-3173,-3278,-3392,-3508,-3627,-3746,-3870,-3995,-4125,-4258,-4400,-4545,-4697,-4845,-5000,-5149,-5301,
-5455,-5614,-5776,-5941,-6112,-6283,-6451,-6619,-6785,-6956,-7126,-7297,-7467,-7629,-7785,-7931,-8068,-8197,-8319,-8436,
-8541,-8634,-8707,-8754,-8773,-8763,-8724,-8654,-8544,-8390,-8189,-7928,-7607,-7219,-6766,-6243,-5650,-4978,-4236,-3414,
-2528,-1594,-623,364,1353,2319,3245,4117,4924,5659,6312,6887,7386,7806,8147,8413,8604,8725,8779,8777,
8729,8639,8511,8355,8178,7975,7757,7530,7302,7073,6848,6627,6404,6178,5956,5727,5510,5293,5088,4884,
4689,4495,4300,4109,3920,3741,3569,3402,3241,3085,2928,2770,2615,2465,2320,2181,2048,1920,1789,1655,
1527,1395,1272,1151,1032,919,807,690,573,456,342,229,120,18,-90,-198,-312,-424,-536,-651,
-762,-866,-973,-1082,-1193,-1310,-1427,-1543,-1661,-1780,-1894,-2012,-2136,-2268,-2400,-2535,-2672,-2804,-2937,-3070,
-3208,-3353,-3501,-3649,-3803,-3953,-4099,-4253,-4409,-4565,-4726,-4891,-5054,-5217,-5372,-5529,-5681,-5838,-5997,-6155,
-6309,-6465,-6604,-6734,-6848,-6953,-7048,-7127,-7186,-7221,-7224,-7196,-7129,-7025,-6878,-6686,-6436,-6128,-5740,-5274,
-4726,-4098,-3395,-2618,-1776,-881,59,1028,2007,2977,3919,4827,5686,6486,7222,7882,8464,8957,9363,9689,
9936,10110,10216,10258,10240,10174,10064,9926,9763,9582,9388,9179,8958,8725,8484,8234,7985,7743,7502,7262,
7027,6789,6551,6318,6090,5871,5655,5447,5243,5040,4840,4642,4451,4269,4097,3932,3774,3622,3468,3320,
3171,3031,2895,2764,2640,2516,2394,2269,2150,2037,1926,1827,1730,1636,1543,1451,1357,1265,1176,1087,
1003,920,838,754,669,587,511,432,361,291,221,151,77,3,-71,-147,-222,-296,-367,-440,
-513,-586,-660,-731,-804,-870,-938,-1006,-1077,-1151,-1228,-1309,-1389,-1468,-1548,-1630,-1712,-1797,-1883,-1970,
-2060,-2148,-2236,-2329,-2420,-2520,-2624,-2730,-2844,-2956,-3069,-3180,-3295,-3414,-3535,-3660,-3788,-3921,-4051,-4185,
-4318,-4458,-4608,-4760,-4919,-5080,-5240,-5400,-5560,-5724,-5885,-6056,-6229,-6403,-6576,-6750,-6918,-7085,-7259,-7428,
-7596,-7763,-7923,-8071,-8209,-8335,-8449,-8549,-8644,-8724,-8782,-8818,-8824,-8795,-8729,-8622,-8476,-8280,-8029,-7716,
-7339,-6887,-6369,-5776,-5117,-4394,-3604,-2753,-1854,-911,54,1026,1988,2917,3799,4619,5366,6038,6621,7120,
7535,7870,8130,8325,8451,8516,8522,8481,8397,8277,8129,7961,7769,7562,7339,7103,6863,6625,6387,6153,
5928,5703,5478,5256,5035,4818,4606,4400,4204,4012,3823,3634,3447,3267,3091,2918,2758,2601,2450,2297,
2145,1993,1848,1706,1571,1440,1313,1183,1058,928,802,677,558,441,327,213,96,-22,-137,-254,
-365,-474,-582,-691,-798,-910,-1021,-1135,-1248,-1357,-1466,-1572,-1681,-1792,-1908,-2028,-2145,-2262,-2379,-2495,
-2617,-2739,-2865,-2998,-3136,-3268,-3405,-3539,-3674,-3814,-3955,-4103,-4252,-4406,-4560,-4710,-4863,-5018,-5174,-5337,
-5500,-5665,-5827,-5984,-6136,-6286,-6433,-6581,-6730,-6875,-7013,-7140,-7256,-7356,-7442,-7508,-7555,-7578,-7572,-7527,
-7442,-7313,-7134,-6904,-6621,-6278,-5861,-5371,-4799,-4148,-3418,-2611,-1744,-819,154,1153,2164,3159,4124,5040,
5901,6692,7414,8055,8614,9085,9467,9766,9986,10135,10221,10247,10219,10144,10025,9877,9699,9505,9295,9081,
8857,8623,8381,8131,7883,7634,7386,7149,6912,6681,6448,6219,5994,5775,5560,5358,5159,4968,4778,4587,
4402,4223,4045,3882,3725,3576,3425,3283,3143,3008,2874,2747,2626,2509,2395,2279,2163,2054,1947,1842,
1746,1652,1566,1475,1393,1306,1225,1140,1063,984,909,829,753,674,599,522,449,383,313,247,
182,116,49,-24,-92,-160,-228,-300,-370,-437,-509,-582,-653,-721,-788,-853,-919,-986,-1057,-1128,
-1207,-1283,-1361,-1439,-1517,-1601,-1681,-1766,-1854,-1941,-2030,-2117,-2205,-2297,-2391,-2490,-2595,-2702,-2815,-2929,
-3044,-3159,-3278,-3399,-3528,-3657,-3786,-3920,-4054,-4194,-4334,-4479,-4634,-4793,-4955,-5121,-5288,-5452,-5619,-5785,
-5957,-6130,-6304,-6479,-6655,-6824,-6993,-7159,-7328,-7495,-7660,-7819,-7966,-8102,-8223,-8331,-8425,-8506,-8572,-8621,
-8641,-8636,-8591,-8507,-8379,-8203,-7975,-7691,-7334,-6911,-6408,-5826,-5172,-4448,-3656,-2807,-1904,-957,18,1007,
1996,2958,3880,4749,5547,6270,6906,7451,7904,8268,8548,8754,8888,8960,8972,8935,8851,8728,8576,8401,
8213,8007,7784,7550,7308,7061,6811,6568,6328,6096,5867,5640,5417,5194,4977,4764,4559,4363,4169,3980,
3793,3608,3428,3248,3076,2912,2754,2599,2446,2295,2144,1996,1852,1715,1581,1450,1323,1194,1065,938,
813,689,572,451,337,223,103,-17,-132,-252,-362,-476,-583,-694,-805,-920,-1036,-1151,-1264,-1375,
-1489,-1601,-1719,-1838,-1961,-2085,-2205,-2331,-2454,-2574,-2700,-2832,-2969,-3107,-3250,-3390,-3532,-3673,-3814,-3958,
-4115,-4264,-4421,-4581,-4734,-4893,-5049,-5210,-5374,-5539,-5708,-5873,-6034,-6192,-6345,-6492,-6639,-6784,-6929,-7064,
-7191,-7303,-7402,-7483,-7549,-7590,-7607,-7594,-7541,-7446,-7299,-7096,-6843,-6533,-6159,-5718,-5205,-4617,-3951,-3209,
-2401,-1534,-614,347,1324,2307,3269,4198,5078,5894,6642,7319,7913,8423,8852,9194,9458,9645,9769,9834,
9844,9807,9728,9607,9453,9276,9082,8873,8662,8439,8207,7971,7727,7480,7235,6991,6754,6518,6289,6059,
5834,5610,5392,5183,4977,4781,4590,4405,4221,4038,3857,3684,3520,3362,3210,3063,2924,2784,2647,2520,
2394,2274,2160,2048,1937,1827,1716,1609,1506,1408,1314,1226,1138,1055,970,886,807,727,651,573,
501,426,349,272,194,122,50,-19,-83,-149,-213,-284,-350,-418,-486,-554,-622,-688,-758,-830,
-898,-970,-1040,-1108,-1174,-1238,-1306,-1374,-1445,-1520,-1598,-1674,-1753,-1832,-1914,-1999,-2086,-2173,-2263,-2357,
-2446,-2538,-2628,-2722,-2824,-2925,-3034,-3145,-3261,-3378,-3496,-3614,-3740,-3864,-3998,-4130,-4266,-4402,-4537,-4677,
-4822,-4969,-5127,-5287,-5452,-5616,-5780,-5941,-6107,-6274,-6443,-6613,-6783,-6953,-7118,-7277,-7437,-7593,-7748,-7900,
-8044,-8182,-8301,-8399,-8490,-8561,-8610,-8645,-8660,-8648,-8600,-8514,-8383,-8207,-7976,-7694,-7342,-6930,-6438,-5870,
-5227,-4514,-3735,-2902,-2028,-1115,-175,773,1722,2646,3540,4381,5163,5879,6519,7077,7550,7935,8234,8456,
8606,8691,8722,8700,8635,8529,8390,8231,8051,7860,7657,7442,7219,6989,6751,6512,6275,6046,5820,5599,
5384,5166,4956,4748,4546,4352,4164,3978,3802,3623,3450,3277,3107,2944,2785,2635,2489,2344,2199,2054,
1912,1773,1641,1511,1386,1261,1138,1014,890,765,645,528,415,302,190,70,-43,-161,-274,-391,
-499,-608,-715,-825,-936,-1049,-1164,-1276,-1391,-1501,-1614,-1728,-1849,-1971,-2096,-2221,-2346,-2470,-2594,-2722,
-2852,-2991,-3129,-3277,-3420,-3562,-3707,-3852,-4001,-4150,-4306,-4465,-4623,-4782,-4935,-5093,-5251,-5412,-5573,-5738,
-5901,-6056,-6204,-6348,-6484,-6612,-6739,-6859,-6968,-7064,-7142,-7203,-7242,-7253,-7237,-7190,-7101,-6967,-6775,-6518,
-6201,-5814,-5361,-4839,-4251,-3589,-2860,-2071,-1221,-325,608,1567,2536,3495,4423,5312,6139,6897,7579,8178,
8693,9124,9470,9734,9924,10038,10095,10098,10057,9979,9867,9727,9554,9360,9149,8925,8701,8468,8234,7997,
7761,7515,7273,7030,6791,6560,6329,6106,5886,5670,5455,5247,5041,4850,4661,4482,4309,4135,3962,3793,
3628,3470,3315,3169,3027,2891,2757,2628,2500,2378,2264,2154,2045,1938,1831,1728,1623,1521,1425,1331,
1242,1154,1069,987,905,824,746,669,592,521,443,368,291,214,136,61,-12,-82,-150,-220,
-287,-358,-430,-501,-571,-641,-711,-784,-854,-932,-1005,-1083,-1160,-1230,-1304,-1377,-1450,-1528,-1606,-1687,
-1771,-1853,-1937,-2026,-2113,-2206,-2306,-2402,-2503,-2603,-2699,-2800,-2901,-3008,-3117,-3233,-3352,-3474,-3597,-3724,
-3853,-3984,-4122,-4263,-4408,-4553,-4697,-4846,-4993,-5143,-5298,-5462,-5628,-5798,-5967,-6136,-6305,-6471,-6641,-6810,
-6982,-7153,-7313,-7475,-7630,-7775,-7918,-8056,-8186,-8309,-8420,-8512,-8583,-8630,-8652,-8652,-8627,-8570,-8479,-8345,
-8164,-7928,-7631,-7275,-6853,-6361,-5788,-5139,-4418,-3624,-2773,-1878,-948,-4,942,1878,2783,3644,4454,5203,
5881,6491,7023,7480,7855,8147,8362,8501,8573,8588,8554,8478,8368,8220,8050,7864,7660,7450,7232,7015,
6796,6568,6343,6110,5879,5649,5425,5207,4998,4791,4585,4384,4185,3991,3805,3621,3449,3279,3110,2944,
2779,2619,2462,2309,2164,2024,1883,1745,1608,1471,1337,1207,1080,959,840,722,602,479,360,242,
127,18,-96,-205,-317,-433,-549,-665,-777,-888,-993,-1101,-1211,-1322,-1434,-1549,-1667,-1779,-1893,-2010,
-2126,-2249,-2374,-2505,-2635,-2761,-2890,-3022,-3150,-3286,-3423,-3568,-3716,-3861,-4009,-4157,-4306,-4455,-4608,-4768,
-4928,-5089,-5250,-5408,-5567,-5723,-5883,-6045,-6208,-6371,-6525,-6674,-6812,-6942,-7063,-7174,-7279,-7370,-7440,-7492,
-7520,-7518,-7486,-7417,-7311,-7153,-6938,-6656,-6307,-5875,-5371,-4788,-4132,-3407,-2616,-1770,-872,74,1044,2027,
3008,3965,4893,5768,6583,7324,7981,8553,9037,9433,9744,9975,10131,10215,10239,10212,10138,10032,9898,9741,
9559,9360,9142,8914,8676,8434,8192,7956,7713,7471,7229,6985,6745,6506,6273,6050,5830,5613,5403,5194,
4989,4792,4602,4422,4251,4079,3917,3755,3598,3441,3289,3145,3006,2870,2740,2613,2488,2367,2251,2144,
2039,1938,1838,1744,1645,1548,1450,1356,1268,1182,1097,1013,936,857,775,699,628,556,484,416,
342,268,194,120,46,-25,-95,-160,-229,-299,-369,-437,-506,-572,-640,-704,-774,-844,-917,-993,
-1068,-1142,-1219,-1288,-1364,-1438,-1516,-1595,-1677,-1757,-1843,-1926,-2011,-2105,-2198,-2295,-2396,-2499,-2602,-2705,
-2806,-2914,-3019,-3135,-3250,-3369,-3491,-3618,-3744,-3878,-4013,-4153,-4298,-4447,-4595,-4746,-4898,-5051,-5205,-5365,
-5528,-5696,-5867,-6043,-6216,-6387,-6562,-6735,-6912,-7087,-7261,-7431,-7594,-7750,-7900,-8043,-8181,-8313,-8434,-8542,
-8635,-8701,-8744,-8759,-8747,-8710,-8634,-8520,-8364,-8152,-7884,-7553,-7159,-6695,-6156,-5538,-4842,-4069,-3227,-2324,
-1379,-405,580,1559,2513,3428,4291,5088,5816,6469,7046,7545,7963,8303,8559,8740,8846,8887,8871,8810,
8708,8567,8399,8207,8000,7776,7547,7318,7086,6856,6623,6388,6154,5920,5687,5459,5239,5024,4815,4608,
4406,4207,4012,3819,3642,3466,3296,3128,2964,2801,2640,2482,2331,2186,2046,1905,1769,1632,1495,1358,
1231,1102,977,858,737,618,496,374,257,143,27,-81,-195,-304,-422,-536,-651,-764,-878,-986,
-1092,-1200,-1314,-1427,-1542,-1657,-1771,-1888,-2003,-2122,-2243,-2370,-2498,-2627,-2759,-2890,-3019,-3151,-3286,-3428,
-3572,-3718,-3866,-4016,-4164,-4312,-4465,-4620,-4781,-4939,-5099,-5260,-5419,-5572,-5731,-5889,-6045,-6204,-6361,-6518,
-6661,-6798,-6925,-7041,-7151,-7248,-7328,-7392,-7435,-7450,-7441,-7398,-7322,-7206,-7043,-6824,-6543,-6189,-5763,-5256,
-4680,-4024,-3298,-2510,-1664,-766,158,1110,2068,3017,3946,4840,5681,6468,7186,7823,8376,8845,9232,9537,
9761,9911,9992,10016,9983,9910,9802,9671,9509,9335,9139,8925,8703,8467,8228,7991,7754,7516,7282,7045,
6808,6571,6338,6111,5889,5675,5464,5253,5050,4843,4650,4462,4281,4108,3945,3782,3626,3468,3315,3164,
3021,2880,2751,2618,2490,2366,2244,2130,2018,1913,1811,1716,1618,1523,1427,1334,1240,1150,1063,980,
896,813,732,652,576,499,428,356,288,219,144,67,-6,-81,-157,-226,-299,-368,-438,-512,
-581,-651,-720,-784,-853,-921,-991,-1065,-1138,-1214,-1293,-1367,-1441,-1517,-1597,-1672,-1754,-1836,-1918,-2003,
-2085,-2172,-2262,-2356,-2454,-2552,-2657,-2761,-2866,-2975,-3079,-3191,-3305,-3419,-3540,-3665,-3790,-3919,-4049,-4185,
-4326,-4471,-4621,-4775,-4926,-5079,-5233,-5388,-5547,-5706,-5871,-6041,-6212,-6382,-6552,-6720,-6888,-7058,-7226,-7397,
-7556,-7714,-7860,-8000,-8133,-8255,-8372,-8478,-8569,-8648,-8695,-8720,-8716,-8681,-8613,-8511,-8367,-8174,-7922,-7615,
-7246,-6808,-6301,-5727,-5078,-4355,-3563,-2705,-1798,-851,112,1081,2029,2949,3817,4629,5368,6034,6625,7139,
7577,7936,8222,8435,8578,8655,8676,8642,8565,8453,8310,8141,7949,7743,7520,7294,7068,6841,6616,6391,
6166,5938,5713,5489,5269,5054,4847,4644,4446,4246,4054,3862,3677,3497,3327,3157,2995,2832,2672,2514,
2358,2207,2061,1922,1784,1650,1512,1379,1245,1112,986,862,744,620,500,379,260,137,20,-93,
-206,-321,-432,-549,-665,-782,-900,-1014,-1128,-1239,-1354,-1467,-1583,-1703,-1823,-1943,-2061,-2182,-2307,-2431,
-2561,-2694,-2829,-2966,-3099,-3235,-3371,-3511,-3653,-3796,-3950,-4100,-4252,-4402,-4555,-4709,-4864,-5022,-5181,-5341,
-5503,-5657,-5810,-5961,-6109,-6260,-6410,-6555,-6699,-6830,-6949,-7056,-7149,-7224,-7283,-7324,-7339,-7322,-7270,-7184,
-7053,-6878,-6653,-6376,-6031,-5619,-5130,-4566,-3924,-3208,-2426,-1591,-704,220,1164,2112,3048,3953,4824,5642,
6407,7106,7734,8284,8751,9137,9445,9680,9841,9939,9979,9963,9902,9801,9668,9512,9336,9150,8948,8738,
8514,8279,8043,7806,7565,7332,7098,6871,6641,6409,6185,5963,5746,5535,5331,5131,4934,4736,4546,4364,
4182,4014,3848,3692,3538,3389,3242,3103,2959,2823,2697,2568,2446,2322,2203,2086,1976,1866,1765,1666,
1574,1479,1388,1299,1207,1117,1032,945,861,778,694,614,536,456,379,306,234,164,93,19,
-51,-124,-201,-275,-347,-420,-493,-566,-639,-713,-783,-853,-924,-990,-1061,-1133,-1205,-1282,-1360,-1440,
-1523,-1602,-1684,-1768,-1850,-1935,-2025,-2110,-2200,-2288,-2384,-2477,-2574,-2677,-2784,-2892,-3004,-3118,-3233,-3348,
-3466,-3585,-3708,-3834,-3965,-4096,-4231,-4367,-4506,-4650,-4802,-4957,-5112,-5272,-5429,-5589,-5749,-5910,-6071,-6239,
-6406,-6574,-6742,-6909,-7072,-7235,-7388,-7546,-7698,-7843,-7981,-8106,-8218,-8313,-8396,-8471,-8523,-8560,-8571,-8552,
-8501,-8405,-8271,-8090,-7862,-7578,-7234,-6823,-6346,-5800,-5183,-4505,-3765,-2968,-2117,-1224,-304,633,1577,2492,
3376,4205,4976,5682,6306,6851,7318,7700,8009,8247,8416,8529,8580,8583,8537,8450,8331,8187,8022,7838,
7637,7425,7202,6974,6741,6513,6287,6065,5848,5629,5415,5204,4992,4789,4588,4397,4205,4017,3835,3655,
3478,3305,3136,2974,2819,2662,2513,2361,2213,2068,1926,1787,1655,1523,1394,1267,1140,1010,885,761,
642,523,407,290,172,52,-64,-181,-293,-404,-514,-626,-739,-851,-966,-1082,-1195,-1308,-1422,-1537,
-1650,-1770,-1888,-2012,-2136,-2257,-2384,-2509,-2638,-2768,-2906,-3043,-3186,-3327,-3470,-3610,-3753,-3902,-4051,-4206,
-4364,-4520,-4677,-4836,-4992,-5152,-5319,-5480,-5646,-5806,-5966,-6121,-6269,-6416,-6563,-6704,-6844,-6973,-7095,-7205,
-7294,-7366,-7418,-7446,-7446,-7412,-7340,-7225,-7061,-6841,-6566,-6231,-5829,-5359,-4808,-4185,-3485,-2712,-1872,-975,
-25,957,1956,2947,3913,4835,5706,6508,7245,7900,8480,8971,9379,9704,9947,10115,10222,10264,10254,10199,
10101,9966,9805,9620,9414,9202,8980,8753,8515,8276,8029,7782,7534,7290,7048,6815,6582,6350,6128,5901,
5682,5472,5263,5067,4870,4682,4494,4313,4129,3958,3790,3630,3477,3330,3186,3047,2909,2776,2650,2523,
2403,2285,2172,2059,1946,1837,1732,1632,1538,1445,1358,1271,1183,1096,1010,931,846,764,686,604,
526,445,368,291,219,144,76,8,-62,-132,-203,-275,-348,-423,-497,-569,-643,-716,-788,-862,
-932,-1005,-1072,-1143,-1214,-1285,-1362,-1439,-1519,-1602,-1685,-1768,-1851,-1942,-2029,-2118,-2208,-2302,-2394,-2490,
-2584,-2684,-2789,-2894,-3005,-3122,-3239,-3359,-3480,-3604,-3729,-3856,-3987,-4125,-4261,-4401,-4538,-4684,-4836,-4988,
-5148,-5312,-5476,-5644,-5811,-5976,-6144,-6311,-6484,-6656,-6831,-7003,-7172,-7338,-7503,-7664,-7824,-7979,-8127,-8269,
-8394,-8502,-8601,-8681,-8743,-8795,-8817,-8818,-8784,-8709,-8594,-8433,-8219,-7953,-7622,-7223,-6751,-6204,-5582,-4892,
-4130,-3310,-2439,-1525,-578,389,1359,2315,3239,4115,4931,5680,6348,6933,7433,7845,8170,8419,8593,8703,
8748,8745,8694,8604,8478,8327,8152,7960,7753,7536,7309,7077,6837,6598,6358,6124,5895,5670,5449,5233,
5017,4806,4599,4398,4201,4013,3827,3645,3462,3288,3113,2946,2784,2626,2473,2324,2175,2029,1884,1746,
1608,1474,1346,1219,1095,968,843,720,598,479,362,248,133,17,-99,-217,-331,-445,-556,-665,
-771,-885,-995,-1107,-1223,-1337,-1450,-1562,-1675,-1792,-1908,-2030,-2151,-2273,-2397,-2522,-2645,-2770,-2901,-3035,
-3173,-3312,-3453,-3594,-3733,-3876,-4021,-4168,-4321,-4475,-4632,-4787,-4943,-5097,-5257,-5415,-5579,-5740,-5903,-6061,
-6212,-6361,-6506,-6644,-6782,-6915,-7042,-7158,-7262,-7346,-7418,-7463,-7490,-7484,-7450,-7373,-7255,-7082,-6860,-6576,
-6234,-5829,-5355,-4810,-4190,-3495,-2733,-1907,-1026,-97,865,1839,2812,3763,4675,5531,6328,7054,7705,8274,
8765,9171,9497,9743,9921,10031,10082,10083,10038,9953,9832,9678,9501,9308,9100,8883,8659,8430,8197,7957,
7714,7473,7233,6996,6761,6531,6306,6081,5860,5649,5438,5234,5038,4846,4663,4479,4298,4123,3952,3786,
3626,3476,3328,3188,3049,2914,2786,2661,2536,2417,2305,2192,2082,1972,1866,1760,1662,1564,1473,1386,
1299,1216,1131,1051,968,887,811,733,656,579,499,424,349,274,204,135,66,0,-70,-138,
-208,-282,-351,-419,-490,-563,-635,-709,-781,-852,-924,-992,-1060,-1130,-1202,-1277,-1352,-1431,-1514,-1592,
-1677,-1761,-1847,-1934,-2027,-2118,-2210,-2304,-2395,-2492,-2588,-2689,-2797,-2904,-3022,-3138,-3254,-3376,-3499,-3624,
-3754,-3885,-4023,-4160,-4298,-4439,-4584,-4729,-4881,-5041,-5203,-5367,-5534,-5703,-5870,-6036,-6204,-6373,-6546,-6719,
-6888,-7055,-7220,-7378,-7537,-7693,-7844,-7988,-8124,-8243,-8350,-8442,-8514,-8570,-8608,-8625,-8617,-8571,-8497,-8376,
-8209,-7996,-7721,-7390,-6988,-6516,-5970,-5349,-4657,-3902,-3088,-2229,-1331,-405,541,1483,2411,3307,4158,4952,
5682,6336,6915,7403,7816,8140,8382,8553,8658,8706,8698,8647,8555,8428,8275,8104,7913,7712,7500,7275,
7047,6812,6575,6338,6101,5873,5647,5428,5211,4997,4784,4579,4377,4181,3993,3806,3624,3445,3269,3093,
2923,2758,2600,2445,2291,2145,1993,1848,1701,1561,1427,1293,1163,1030,906,777,650,525,401,282,
162,43,-77,-197,-317,-437,-555,-671,-785,-897,-1012,-1128,-1244,-1361,-1479,-1596,-1714,-1832,-1954,-2073,
-2198,-2327,-2457,-2585,-2714,-2844,-2976,-3111,-3251,-3391,-3537,-3681,-3827,-3975,-4121,-4270,-4420,-4574,-4728,-4889,
-5043,-5199,-5356,-5513,-5669,-5827,-5989,-6143,-6293,-6439,-6578,-6707,-6832,-6948,-7057,-7158,-7243,-7309,-7363,-7385,
-7387,-7355,-7291,-7182,-7026,-6815,-6548,-6211,-5813,-5347,-4813,-4213,-3544,-2811,-2028,-1186,-303,611,1546,2482,
3407,4302,5153,5949,6677,7332,7907,8400,8815,9154,9412,9600,9722,9779,9791,9754,9681,9578,9444,9283,
9104,8907,8696,8478,8255,8032,7800,7568,7336,7101,6865,6636,6405,6180,5964,5748,5536,5324,5118,4921,
4726,4542,4363,4186,4018,3848,3684,3521,3363,3212,3064,2924,2787,2656,2528,2402,2281,2165,2057,1946,
1840,1736,1632,1529,1429,1332,1239,1149,1059,976,892,811,730,649,574,497,422,348,272,194,
116,37,-36,-109,-181,-250,-320,-390,-459,-530,-600,-668,-740,-810,-881,-954,-1029,-1105,-1176,-1250,
-1324,-1397,-1469,-1545,-1618,-1698,-1779,-1859,-1943,-2027,-2117,-2206,-2297,-2396,-2491,-2589,-2688,-2787,-2888,-2995,
-3094,-3207,-3320,-3438,-3559,-3684,-3810,-3937,-4070,-4205,-4342,-4486,-4627,-4772,-4918,-5066,-5214,-5368,-5526,-5685,
-5848,-6016,-6179,-6344,-6507,-6672,-6838,-7000,-7162,-7318,-7471,-7615,-7754,-7887,-8017,-8136,-8246,-8341,-8421,-8480,
-8508,-8522,-8507,-8465,-8389,-8278,-8128,-7928,-7676,-7367,-6994,-6559,-6055,-5475,-4827,-4109,-3327,-2493,-1616,-712,
207,1124,2025,2899,3732,4514,5236,5893,6479,6998,7441,7804,8096,8311,8459,8539,8565,8539,8473,8374,
8245,8088,7913,7725,7523,7317,7109,6894,6680,6459,6234,6010,5789,5570,5359,5149,4945,4746,4547,4352,
4160,3976,3794,3621,3450,3287,3120,2958,2798,2640,2486,2340,2195,2055,1916,1780,1640,1506,1375,1247,
1120,1000,876,756,634,512,393,274,159,45,-71,-185,-304,-422,-539,-654,-769,-880,-992,-1104,
-1217,-1337,-1453,-1571,-1691,-1810,-1929,-2054,-2178,-2310,-2438,-2572,-2705,-2839,-2973,-3109,-3248,-3391,-3538,-3687,
-3836,-3990,-4141,-4295,-4449,-4607,-4765,-4925,-5088,-5249,-5411,-5565,-5726,-5887,-6048,-6206,-6362,-6512,-6653,-6787,
-6909,-7019,-7120,-7206,-7276,-7327,-7357,-7356,-7327,-7262,-7155,-7004,-6797,-6532,-6200,-5795,-5311,-4755,-4122,-3422,
-2658,-1838,-964,-47,900,1865,2826,3769,4684,5555,6368,7118,7791,8380,8887,9303,9639,9896,10075,10185,
10235,10232,10177,10083,9960,9811,9640,9451,9248,9029,8801,8563,8323,8083,7838,7604,7365,7125,6888,6652,
6418,6193,5970,5752,5540,5330,5126,4925,4732,4545,4369,4193,4031,3866,3706,3549,3393,3246,3100,2960,
2823,2694,2568,2443,2323,2208,2098,1991,1888,1788,1689,1591,1494,1397,1303,1213,1122,1037,953,875,
790,711,634,560,484,410,336,263,187,113,37,-40,-113,-188,-259,-330,-400,-474,-544,-614,
-687,-755,-827,-896,-970,-1049,-1123,-1201,-1279,-1357,-1436,-1512,-1591,-1672,-1754,-1837,-1924,-2009,-2100,-2193,
-2286,-2385,-2485,-2587,-2692,-2801,-2908,-3017,-3125,-3238,-3354,-3475,-3598,-3727,-3854,-3988,-4124,-4264,-4407,-4556,
-4705,-4861,-5015,-5169,-5325,-5485,-5645,-5809,-5978,-6149,-6324,-6495,-6670,-6838,-7013,-7181,-7348,-7516,-7677,-7833,
-7980,-8118,-8257,-8375,-8488,-8591,-8676,-8739,-8785,-8801,-8789,-8741,-8660,-8545,-8387,-8176,-7916,-7592,-7207,-6752,
-6225,-5626,-4957,-4212,-3400,-2532,-1615,-667,297,1259,2197,3103,3959,4754,5482,6138,6720,7228,7655,8008,
8285,8490,8622,8689,8698,8659,8577,8459,8310,8138,7948,7737,7521,7299,7074,6849,6625,6396,6172,5945,
5720,5497,5279,5064,4855,4654,4454,4258,4063,3876,3694,3515,3344,3177,3011,2852,2692,2536,2381,2233,
2089,1951,1811,1677,1541,1405,1277,1144,1020,898,779,658,536,419,301,184,69,-43,-157,-270,
-383,-497,-610,-723,-840,-949,-1062,-1171,-1281,-1397,-1508,-1625,-1742,-1860,-1978,-2095,-2216,-2344,-2469,-2599,
-2732,-2864,-2996,-3131,-3265,-3406,-3546,-3692,-3840,-3988,-4140,-4294,-4442,-4597,-4754,-4910,-5070,-5232,-5390,-5549,
-5705,-5863,-6020,-6177,-6334,-6489,-6636,-6777,-6909,-7031,-7143,-7243,-7327,-7398,-7447,-7474,-7472,-7440,-7375,-7272,
-7121,-6923,-6666,-6339,-5946,-5473,-4928,-4305,-3606,-2843,-2020,-1145,-230,716,1674,2631,3571,4480,5345,6159,
6908,7586,8183,8694,9125,9470,9735,9927,10049,10108,10110,10063,9980,9863,9717,9550,9369,9169,8952,8729,
8498,8260,8022,7786,7549,7314,7078,6844,6610,6383,6157,5936,5722,5511,5303,5097,4901,4708,4521,4341,
4170,4002,3842,3682,3529,3377,3230,3086,2948,2813,2684,2556,2433,2311,2198,2084,1979,1878,1778,1679,
1583,1488,1395,1301,1213,1122,1037,953,870,788,709,629,552,480,406,332,260,186,112,34,
-40,-113,-187,-260,-334,-405,-476,-548,-619,-688,-758,-828,-898,-971,-1043,-1118,-1197,-1276,-1353,-1432,
-1510,-1590,-1671,-1752,-1836,-1921,-2007,-2094,-2186,-2279,-2371,-2470,-2575,-2681,-2786,-2895,-3005,-3115,-3227,-3340,
-3461,-3583,-3708,-3835,-3967,-4100,-4239,-4381,-4526,-4677,-4829,-4984,-5140,-5293,-5453,-5613,-5774,-5938,-6109,-6276,
-6446,-6618,-6788,-6958,-7125,-7293,-7458,-7619,-7773,-7919,-8058,-8187,-8305,-8418,-8517,-8601,-8668,-8712,-8732,-8721,
-8676,-8599,-8484,-8324,-8121,-7861,-7544,-7160,-6712,-6195,-5608,-4950,-4221,-3424,-2569,-1667,-731,227,1182,2123,
3028,3886,4683,5413,6072,6658,7163,7596,7955,8235,8447,8590,8669,8693,8660,8586,8479,8338,8171,7986,
7779,7565,7342,7118,6890,6665,6441,6216,5988,5765,5543,5321,5108,4900,4694,4491,4294,4098,3908,3721,
3542,3366,3196,3032,2865,2707,2546,2389,2238,2090,1946,1805,1667,1528,1394,1255,1123,994,865,742,
618,495,373,249,128,9,-110,-226,-345,-460,-577,-695,-815,-931,-1051,-1166,-1283,-1396,-1513,-1629,
-1754,-1874,-1998,-2119,-2243,-2371,-2496,-2627,-2761,-2896,-3034,-3170,-3308,-3446,-3589,-3731,-3881,-4027,-4180,-4331,
-4484,-4639,-4794,-4946,-5105,-5262,-5422,-5576,-5730,-5884,-6033,-6181,-6327,-6468,-6607,-6742,-6866,-6980,-7081,-7165,
-7229,-7279,-7302,-7303,-7270,-7207,-7104,-6959,-6763,-6526,-6224,-5865,-5433,-4932,-4356,-3705,-2989,-2209,-1376,-497,
412,1338,2265,3179,4065,4909,5705,6443,7119,7724,8255,8709,9082,9378,9603,9761,9854,9893,9877,9822,
9726,9599,9446,9278,9093,8899,8689,8473,8247,8019,7784,7555,7323,7094,6867,6639,6418,6197,5976,5765,
5557,5355,5155,4959,4770,4579,4398,4218,4050,3885,3727,3573,3424,3279,3134,2996,2859,2729,2600,2474,
2355,2236,2120,2006,1897,1793,1694,1599,1504,1412,1320,1230,1142,1053,968,883,798,716,636,553,
476,399,326,254,182,108,39,-39,-112,-187,-261,-336,-411,-484,-556,-631,-704,-775,-847,-920,
-990,-1063,-1133,-1209,-1286,-1366,-1447,-1530,-1610,-1692,-1776,-1860,-1948,-2037,-2124,-2215,-2308,-2402,-2496,-2594,
-2699,-2805,-2916,-3027,-3141,-3256,-3374,-3491,-3611,-3736,-3863,-3993,-4127,-4261,-4399,-4541,-4686,-4836,-4991,-5147,
-5304,-5465,-5627,-5782,-5946,-6107,-6271,-6435,-6604,-6768,-6932,-7092,-7252,-7408,-7560,-7710,-7851,-7982,-8105,-8213,
-8309,-8393,-8457,-8512,-8543,-8549,-8532,-8476,-8385,-8251,-8076,-7848,-7567,-7230,-6831,-6368,-5832,-5235,-4571,-3847,
-3067,-2237,-1369,-464,452,1373,2277,3150,3973,4742,5441,6072,6627,7101,7498,7824,8077,8266,8392,8461,
8478,8450,8381,8278,8144,7986,7812,7620,7417,7203,6979,6756,6530,6307,6088,5869,5655,5440,5230,5021,
4815,4617,4421,4227,4041,3857,3675,3497,3321,3151,2987,2824,2669,2514,2361,2213,2065,1918,1779,1639,
1504,1374,1242,1113,984,856,727,604,484,362,243,122,4,-116,-234,-351,-468,-581,-695,-811,
-927,-1044,-1161,-1279,-1397,-1514,-1630,-1749,-1871,-1992,-2121,-2245,-2371,-2500,-2629,-2761,-2894,-3031,-3173,-3315,
-3460,-3602,-3746,-3894,-4042,-4191,-4346,-4501,-4659,-4818,-4974,-5131,-5293,-5451,-5610,-5771,-5931,-6086,-6236,-6382,
-6524,-6658,-6791,-6921,-7039,-7147,-7238,-7311,-7367,-7394,-7399,-7368,-7307,-7200,-7047,-6842,-6581,-6261,-5880,-5431,
-4914,-4322,-3662,-2928,-2134,-1281,-378,563,1530,2497,3447,4366,5236,6047,6795,7470,8066,8584,9024,9381,
9664,9867,10006,10084,10100,10074,10005,9900,9764,9599,9412,9216,9004,8785,8560,8331,8097,7856,7617,7378,
7139,6904,6672,6446,6222,6000,5784,5570,5363,5159,4964,4773,4585,4404,4220,4048,3874,3712,3552,3400,
3254,3112,2971,2837,2705,2577,2457,2334,2216,2104,1988,1882,1773,1668,1571,1472,1380,1291,1206,1116,
1032,948,865,782,700,621,541,461,382,304,231,156,85,14,-56,-128,-196,-270,-341,-417,
-489,-563,-633,-709,-780,-853,-926,-997,-1071,-1140,-1211,-1283,-1359,-1433,-1514,-1596,-1679,-1764,-1847,-1934,
-2021,-2109,-2199,-2293,-2387,-2482,-2574,-2675,-2775,-2878,-2990,-3103,-3221,-3337,-3457,-3578,-3704,-3830,-3960,-4093,
-4228,-4365,-4508,-4648,-4793,-4940,-5096,-5255,-5417,-5581,-5748,-5910,-6079,-6243,-6407,-6576,-6744,-6913,-7081,-7242,
-7405,-7560,-7715,-7861,-8004,-8138,-8262,-8375,-8467,-8549,-8608,-8652,-8670,-8669,-8640,-8571,-8470,-8323,-8121,-7871,
-7559,-7190,-6748,-6240,-5658,-5008,-4291,-3515,-2685,-1816,-911,18,953,1882,2788,3654,4472,5225,5911,6523,
7056,7503,7873,8161,8376,8524,8612,8644,8625,8569,8471,8346,8193,8021,7832,7633,7422,7201,6975,6746,
6516,6284,6058,5836,5617,5403,5189,4983,4777,4576,4376,4185,3999,3817,3638,3462,3287,3118,2952,2790,
2637,2484,2334,2189,2043,1898,1761,1621,1490,1359,1232,1105,980,853,731,606,484,367,250,135,
17,-99,-218,-335,-451,-565,-677,-789,-901,-1012,-1125,-1245,-1360,-1475,-1591,-1705,-1826,-1945,-2069,-2191,
-2319,-2447,-2574,-2704,-2833,-2966,-3103,-3245,-3387,-3532,-3677,-3822,-3966,-4114,-4266,-4419,-4575,-4734,-4894,-5051,
-5211,-5369,-5530,-5690,-5850,-6012,-6167,-6315,-6461,-6604,-6736,-6867,-6989,-7104,-7206,-7293,-7363,-7411,-7433,-7429,
-7395,-7320,-7203,-7033,-6814,-6532,-6190,-5782,-5311,-4771,-4156,-3469,-2721,-1907,-1041,-129,818,1785,2749,3697,
4607,5474,6273,7008,7664,8243,8739,9158,9494,9752,9941,10058,10119,10126,10087,10010,9898,9755,9587,9397,
9195,8979,8754,8527,8296,8059,7820,7579,7338,7099,6863,6632,6405,6180,5959,5747,5532,5322,5126,4931,
4740,4555,4376,4198,4025,3856,3690,3532,3383,3235,3090,2955,2822,2693,2564,2441,2327,2211,2096,1986,
1879,1770,1668,1564,1469,1377,1286,1199,1114,1028,944,861,780,705,621,542,465,385,308,230,
155,82,10,-63,-131,-204,-275,-348,-421,-494,-569,-639,-714,-787,-862,-938,-1014,-1085,-1160,-1230,
-1305,-1379,-1455,-1537,-1620,-1702,-1786,-1876,-1962,-2052,-2144,-2236,-2333,-2429,-2524,-2626,-2726,-2825,-2932,-3042,
-3154,-3274,-3394,-3517,-3642,-3770,-3898,-4029,-4170,-4306,-4448,-4589,-4736,-4883,-5034,-5189,-5349,-5511,-5676,-5845,
-6013,-6179,-6350,-6518,-6687,-6857,-7026,-7192,-7358,-7516,-7674,-7824,-7975,-8115,-8248,-8370,-8481,-8573,-8648,-8706,
-8743,-8757,-8746,-8708,-8637,-8525,-8368,-8158,-7898,-7577,-7192,-6736,-6209,-5614,-4941,-4205,-3407,-2564,-1677,-759,
174,1108,2035,2933,3790,4592,5336,6010,6611,7128,7571,7923,8204,8406,8537,8611,8628,8597,8528,8420,
8285,8124,7945,7753,7550,7336,7115,6891,6661,6430,6198,5970,5746,5527,5310,5100,4892,4688,4483,4287,
4097,3910,3730,3552,3374,3204,3034,2868,2706,2551,2394,2247,2100,1956,1812,1672,1533,1401,1267,1138,
1013,886,759,633,509,389,269,148,31,-86,-204,-324,-442,-558,-673,-788,-899,-1014,-1127,-1245,
-1361,-1476,-1596,-1716,-1830,-1954,-2073,-2201,-2327,-2456,-2586,-2716,-2843,-2979,-3113,-3250,-3394,-3536,-3681,-3827,
-3972,-4122,-4268,-4422,-4576,-4730,-4885,-5041,-5197,-5354,-5506,-5664,-5821,-5975,-6128,-6278,-6418,-6551,-6680,-6798,
-6910,-7015,-7104,-7183,-7245,-7279,-7292,-7281,-7233,-7151,-7026,-6849,-6620,-6329,-5975,-5552,-5069,-4515,-3896,-3209,
-2466,-1667,-816,69,982,1911,2837,3747,4624,5455,6231,6941,7576,8133,8613,9011,9337,9584,9762,9877,
9933,9939,9900,9827,9724,9588,9434,9255,9058,8852,8638,8417,8193,7967,7738,7508,7275,7043,6814,6586,
6364,6143,5931,5720,5510,5306,5106,4916,4730,4549,4375,4203,4036,3869,3709,3548,3398,3251,3106,2973,
2837,2708,2580,2460,2340,2228,2117,2012,1904,1800,1694,1592,1497,1399,1307,1217,1131,1047,963,877,
797,720,639,563,486,409,327,250,173,97,16,-53,-128,-198,-270,-343,-418,-490,-561,-634,
-707,-781,-855,-933,-1010,-1085,-1163,-1237,-1312,-1389,-1466,-1547,-1628,-1712,-1794,-1886,-1971,-2061,-2153,-2252,
-2344,-2445,-2547,-2648,-2752,-2855,-2960,-3071,-3184,-3299,-3419,-3543,-3670,-3796,-3929,-4063,-4199,-4340,-4483,-4630,
-4777,-4924,-5072,-5225,-5381,-5541,-5703,-5866,-6036,-6204,-6371,-6536,-6702,-6866,-7032,-7194,-7354,-7508,-7657,-7798,
-7938,-8067,-8188,-8297,-8399,-8481,-8544,-8586,-8606,-8596,-8564,-8498,-8400,-8258,-8075,-7839,-7551,-7199,-6786,-6304,
-5756,-5133,-4447,-3693,-2887,-2035,-1151,-245,663,1563,2442,3286,4082,4823,5505,6117,6662,7135,7534,7853,
8103,8279,8388,8440,8441,8394,8313,8200,8057,7895,7713,7522,7318,7109,6899,6682,6462,6240,6014,5791,
5570,5355,5143,4935,4731,4530,4334,4138,3953,3768,3589,3416,3245,3074,2908,2744,2583,2423,2274,2125,
1981,1838,1695,1554,1416,1280,1145,1016,891,764,640,514,390,268,144,23,-95,-213,-335,-455,
-574,-693,-815,-928,-1045,-1161,-1275,-1394,-1511,-1630,-1754,-1874,-1995,-2118,-2245,-2373,-2502,-2632,-2768,-2902,
-3037,-3175,-3311,-3452,-3595,-3742,-3890,-4040,-4191,-4345,-4497,-4652,-4806,-4963,-5120,-5281,-5437,-5595,-5752,-5908,
-6061,-6212,-6361,-6512,-6652,-6786,-6903,-7018,-7114,-7200,-7270,-7325,-7355,-7365,-7343,-7290,-7201,-7066,-6885,-6652,
-6357,-5996,-5564,-5057,-4480,-3837,-3124,-2355,-1535,-669,229,1156,2087,3012,3916,4785,5609,6378,7081,7715,
8269,8736,9130,9443,9677,9846,9946,9990,9980,9929,9840,9723,9578,9415,9236,9041,8831,8611,8385,8155,
7923,7692,7459,7231,7001,6770,6544,6318,6097,5882,5671,5462,5262,5061,4867,4675,4494,4315,4150,3983,
3822,3664,3509,3359,3209,3066,2929,2796,2665,2539,2414,2297,2183,2074,1965,1862,1764,1664,1567,1472,
1375,1282,1191,1104,1018,935,852,771,694,612,538,464,390,317,242,168,94,19,-58,-131,
-206,-275,-349,-420,-492,-560,-634,-703,-776,-846,-915,-990,-1065,-1141,-1221,-1296,-1373,-1450,-1530,-1611,
-1691,-1771,-1859,-1948,-2032,-2124,-2211,-2308,-2403,-2504,-2604,-2711,-2817,-2923,-3032,-3144,-3256,-3373,-3490,-3616,
-3741,-3870,-4002,-4137,-4277,-4418,-4562,-4712,-4862,-5014,-5166,-5321,-5478,-5639,-5797,-5964,-6129,-6297,-6463,-6629,
-6797,-6957,-7119,-7280,-7435,-7586,-7731,-7870,-7997,-8116,-8222,-8320,-8403,-8471,-8519,-8543,-8538,-8506,-8435,-8332,
-8190,-8003,-7767,-7477,-7130,-6716,-6238,-5693,-5077,-4394,-3647,-2839,-1982,-1088,-166,763,1682,2576,3435,4238,
4989,5669,6283,6826,7291,7687,8015,8266,8451,8570,8632,8636,8594,8512,8400,8255,8092,7906,7706,7500,
7286,7065,6849,6628,6408,6187,5968,5748,5530,5315,5106,4899,4699,4499,4305,4117,3930,3747,3569,3395,
3228,3061,2900,2741,2583,2428,2277,2129,1985,1844,1704,1567,1431,1297,1164,1036,909,786,660,537,
414,293,169,52,-71,-188,-302,-424,-539,-658,-776,-895,-1011,-1127,-1242,-1361,-1474,-1596,-1718,-1839,
-1963,-2086,-2212,-2340,-2470,-2602,-2738,-2873,-3012,-3152,-3292,-3435,-3575,-3723,-3872,-4021,-4178,-4334,-4487,-4644,
-4803,-4958,-5119,-5282,-5444,-5605,-5764,-5922,-6078,-6233,-6384,-6537,-6681,-6821,-6951,-7073,-7182,-7273,-7353,-7411,
-7451,-7462,-7450,-7406,-7322,-7198,-7025,-6803,-6521,-6176,-5763,-5270,-4705,-4066,-3355,-2582,-1752,-876,45,986,
1940,2883,3804,4689,5529,6314,7032,7681,8250,8739,9151,9478,9725,9904,10013,10066,10061,10012,9923,9803,
9656,9487,9301,9102,8891,8670,8441,8206,7967,7729,7493,7257,7023,6791,6561,6333,6106,5887,5669,5462,
5253,5049,4851,4659,4469,4289,4113,3943,3780,3622,3465,3316,3168,3022,2883,2746,2615,2486,2361,2238,
2121,2006,1898,1791,1690,1590,1494,1399,1304,1209,1119,1028,940,854,767,686,607,523,447,368,
293,220,144,69,-3,-78,-156,-229,-306,-380,-453,-527,-597,-671,-743,-817,-890,-959,-1030,-1103,
-1173,-1248,-1326,-1404,-1485,-1564,-1646,-1727,-1808,-1891,-1976,-2061,-2150,-2239,-2328,-2421,-2517,-2614,-2716,-2821,
-2928,-3039,-3151,-3261,-3376,-3489,-3611,-3732,-3854,-3985,-4117,-4252,-4387,-4528,-4672,-4824,-4972,-5125,-5284,-5440,
-5600,-5757,-5919,-6083,-6251,-6417,-6587,-6756,-6924,-7093,-7259,-7423,-7584,-7739,-7891,-8035,-8174,-8303,-8417,-8523,
-8616,-8694,-8756,-8800,-8816,-8804,-8759,-8677,-8557,-8394,-8184,-7922,-7604,-7221,-6776,-6261,-5679,-5027,-4306,-3526,
-2688,-1802,-876,66,1011,1944,2846,3704,4505,5240,5907,6498,7012,7454,7818,8112,8335,8491,8587,8625,
8609,8550,8456,8327,8172,7996,7803,7597,7380,7162,6936,6712,6489,6266,6047,5827,5607,5392,5178,4970,
4765,4562,4369,4176,3988,3803,3623,3447,3276,3111,2948,2788,2632,2477,2324,2177,2031,1889,1751,1615,
1482,1348,1215,1086,957,832,707,585,468,346,227,106,-13,-131,-247,-363,-476,-595,-711,-825,
-943,-1056,-1173,-1285,-1400,-1516,-1634,-1752,-1876,-1997,-2121,-2247,-2370,-2497,-2628,-2759,-2897,-3032,-3172,-3311,
-3449,-3592,-3736,-3880,-4028,-4180,-4335,-4487,-4640,-4792,-4950,-5103,-5261,-5414,-5574,-5726,-5876,-6022,-6166,-6310,
-6450,-6584,-6711,-6832,-6939,-7031,-7108,-7167,-7202,-7218,-7204,-7160,-7082,-6961,-6796,-6584,-6318,-5994,-5605,-5150,
-4625,-4025,-3352,-2620,-1822,-976,-89,824,1752,2679,3585,4460,5291,6070,6794,7450,8033,8544,8978,9331,
9611,9822,9963,10044,10070,10050,9987,9885,9755,9603,9431,9244,9045,8836,8617,8395,8161,7932,7699,7467,
7237,7010,6784,6561,6338,6120,5907,5698,5492,5290,5094,4904,4714,4530,4353,4181,4015,3853,3697,3545,
3396,3253,3112,2974,2839,2710,2583,2462,2339,2222,2107,1996,1891,1788,1688,1593,1499,1403,1311,1220,
1130,1042,950,868,783,700,619,537,457,380,301,228,151,76,2,-75,-154,-229,-310,-385,
-462,-538,-616,-691,-767,-840,-915,-987,-1061,-1135,-1212,-1291,-1372,-1456,-1542,-1627,-1710,-1796,-1887,-1973,
-2062,-2155,-2250,-2344,-2441,-2536,-2640,-2743,-2853,-2964,-3078,-3196,-3313,-3430,-3551,-3676,-3802,-3931,-4066,-4200,
-4336,-4477,-4623,-4768,-4918,-5075,-5230,-5393,-5552,-5712,-5876,-6036,-6200,-6364,-6531,-6700,-6866,-7029,-7193,-7353,
-7510,-7662,-7808,-7952,-8084,-8207,-8317,-8416,-8497,-8568,-8620,-8653,-8662,-8644,-8591,-8506,-8379,-8205,-7984,-7710,
-7379,-6987,-6531,-6010,-5419,-4766,-4052,-3284,-2463,-1600,-703,209,1123,2026,2900,3728,4503,5215,5857,6422,
6913,7330,7668,7942,8143,8284,8369,8399,8382,8324,8228,8103,7953,7781,7594,7394,7183,6964,6739,6516,
6293,6070,5852,5636,5419,5207,4997,4787,4584,4385,4189,4001,3813,3626,3446,3268,3093,2925,2759,2601,
2445,2288,2137,1984,1835,1691,1547,1412,1276,1140,1008,874,744,615,485,362,240,115,-7,-130,
-251,-373,-493,-614,-731,-846,-965,-1085,-1201,-1323,-1442,-1560,-1679,-1798,-1918,-2043,-2168,-2294,-2420,-2548,
-2677,-2810,-2940,-3076,-3213,-3352,-3497,-3639,-3781,-3927,-4072,-4220,-4367,-4522,-4677,-4830,-4984,-5144,-5299,-5451,
-5608,-5765,-5917,-6072,-6220,-6365,-6505,-6637,-6765,-6887,-7002,-7110,-7205,-7281,-7340,-7377,-7388,-7369,-7321,-7235,
-7106,-6929,-6702,-6419,-6075,-5672,-5202,-4667,-4061,-3392,-2658,-1864,-1016,-131,788,1721,2652,3567,4444,5277,
6055,6766,7408,7979,8475,8891,9237,9505,9706,9840,9917,9937,9913,9853,9756,9627,9474,9303,9113,8912,
8704,8487,8268,8041,7814,7585,7353,7124,6896,6670,6451,6232,6018,5807,5598,5395,5197,5005,4817,4634,
4454,4277,4107,3938,3774,3617,3468,3321,3177,3043,2908,2777,2650,2525,2403,2288,2174,2060,1951,1842,
1741,1638,1540,1450,1358,1270,1186,1098,1014,929,845,762,683,603,524,444,365,288,215,142,
69,0,-74,-145,-217,-292,-366,-441,-513,-588,-663,-734,-806,-885,-957,-1029,-1099,-1176,-1245,-1322,
-1400,-1479,-1561,-1645,-1731,-1818,-1904,-1991,-2080,-2172,-2265,-2361,-2456,-2553,-2651,-2753,-2860,-2969,-3081,-3199,
-3315,-3437,-3562,-3684,-3811,-3942,-4076,-4209,-4347,-4488,-4631,-4777,-4925,-5079,-5237,-5395,-5557,-5719,-5884,-6045,
-6206,-6370,-6532,-6698,-6859,-7019,-7178,-7334,-7484,-7628,-7765,-7901,-8023,-8135,-8234,-8316,-8383,-8432,-8458,-8463,
-8446,-8395,-8312,-8189,-8021,-7804,-7536,-7207,-6819,-6364,-5844,-5258,-4601,-3889,-3117,-2302,-1448,-566,337,1237,
2131,2999,3828,4606,5323,5977,6561,7065,7494,7848,8127,8333,8476,8561,8594,8578,8523,8434,8314,8168,
8001,7819,7626,7420,7204,6988,6764,6539,6314,6089,5873,5655,5443,5234,5030,4826,4624,4427,4237,4050,
3865,3685,3511,3336,3163,2996,2832,2675,2518,2368,2218,2073,1925,1781,1642,1504,1370,1237,1107,977,
849,718,592,466,343,221,100,-23,-144,-267,-389,-509,-629,-746,-862,-980,-1099,-1217,-1339,-1460,
-1581,-1704,-1823,-1949,-2077,-2205,-2334,-2464,-2597,-2733,-2868,-3005,-3145,-3285,-3429,-3578,-3726,-3876,-4025,-4177,
-4328,-4483,-4642,-4799,-4960,-5122,-5281,-5439,-5601,-5758,-5920,-6078,-6230,-6380,-6526,-6662,-6794,-6913,-7033,-7136,
-7231,-7310,-7374,-7412,-7426,-7409,-7360,-7274,-7142,-6956,-6724,-6425,-6065,-5640,-5149,-4589,-3961,-3271,-2519,-1709,
-850,51,985,1930,2874,3795,4685,5522,6302,7013,7652,8209,8689,9091,9411,9660,9839,9951,10006,10008,
9969,9891,9777,9637,9476,9293,9093,8881,8660,8434,8206,7974,7739,7505,7269,7032,6797,6564,6339,6115,
5898,5684,5471,5264,5064,4867,4677,4492,4310,4135,3963,3793,3625,3466,3312,3162,3018,2879,2743,2610,
2483,2357,2237,2120,2007,1897,1787,1680,1575,1470,1370,1275,1178,1093,1004,917,833,748,665,584,
504,425,342,267,183,106,30,-46,-118,-192,-265,-336,-409,-481,-557,-630,-702,-777,-851,-926,
-998,-1077,-1149,-1224,-1300,-1376,-1449,-1525,-1600,-1680,-1759,-1841,-1927,-2014,-2100,-2189,-2280,-2375,-2468,-2565,
-2661,-2764,-2862,-2965,-3071,-3177,-3288,-3404,-3520,-3643,-3766,-3893,-4021,-4151,-4290,-4424,-4562,-4707,-4851,-4998,
-5145,-5298,-5452,-5612,-5773,-5940,-6106,-6269,-6438,-6601,-6767,-6931,-7095,-7256,-7422,-7576,-7727,-7878,-8020,-8154,
-8282,-8396,-8505,-8596,-8667,-8723,-8753,-8764,-8750,-8703,-8626,-8513,-8356,-8151,-7893,-7576,-7195,-6749,-6235,-5651,
-4995,-4275,-3496,-2668,-1796,-891,27,947,1858,2747,3592,4393,5134,5811,6416,6946,7403,7778,8079,8303,
8462,8551,8589,8574,8523,8431,8311,8163,7994,7812,7619,7411,7202,6985,6763,6537,6312,6089,5864,5650,
5433,5224,5017,4813,4615,4416,4226,4039,3854,3677,3502,3331,3162,2995,2834,2675,2520,2371,2221,2078,
1934,1792,1654,1517,1382,1253,1127,998,875,746,625,502,379,261,140,22,-92,-213,-329,-448,
-566,-681,-795,-909,-1023,-1138,-1255,-1372,-1490,-1610,-1729,-1852,-1973,-2097,-2225,-2351,-2481,-2613,-2742,-2877,
-3012,-3152,-3293,-3432,-3577,-3725,-3872,-4021,-4170,-4321,-4473,-4627,-4780,-4939,-5094,-5253,-5406,-5564,-5722,-5872,
-6026,-6175,-6318,-6456,-6590,-6711,-6825,-6930,-7023,-7103,-7165,-7207,-7233,-7224,-7190,-7116,-7003,-6846,-6639,-6370,
-6042,-5648,-5187,-4659,-4060,-3401,-2680,-1901,-1075,-206,690,1609,2531,3445,4330,5180,5978,6716,7385,7981,
8497,8937,9295,9580,9795,9944,10027,10061,10042,9987,9894,9775,9631,9464,9280,9081,8870,8652,8426,8201,
7973,7743,7512,7282,7050,6819,6595,6371,6151,5935,5726,5518,5314,5118,4928,4738,4558,4382,4214,4045,
3878,3720,3564,3413,3264,3119,2983,2848,2719,2592,2470,2351,2235,2126,2017,1911,1807,1701,1600,1501,
1403,1312,1219,1131,1042,958,873,791,706,629,548,470,389,309,233,151,74,-1,-79,-152,
-228,-303,-377,-451,-526,-599,-676,-751,-825,-902,-980,-1055,-1138,-1215,-1293,-1370,-1452,-1533,-1612,-1697,
-1782,-1871,-1956,-2051,-2144,-2240,-2335,-2435,-2537,-2639,-2744,-2852,-2959,-3067,-3182,-3298,-3415,-3540,-3662,-3792,
-3922,-4059,-4193,-4335,-4476,-4623,-4769,-4918,-5070,-5225,-5382,-5538,-5698,-5863,-6030,-6198,-6364,-6535,-6703,-6868,
-7034,-7197,-7357,-7515,-7672,-7820,-7962,-8098,-8224,-8345,-8449,-8543,-8622,-8681,-8718,-8727,-8717,-8674,-8598,-8487,
-8338,-8140,-7894,-7589,-7226,-6796,-6301,-5735,-5106,-4405,-3646,-2833,-1976,-1084,-179,731,1630,2506,3345,4132,
4865,5538,6139,6672,7133,7521,7834,8072,8243,8350,8402,8394,8350,8264,8148,8004,7839,7660,7467,7262,
7052,6837,6622,6401,6179,5956,5738,5516,5302,5089,4881,4677,4476,4281,4087,3899,3715,3536,3358,3190,
3018,2853,2688,2527,2371,2219,2069,1920,1778,1634,1495,1356,1221,1087,956,827,696,571,448,321,
198,75,-45,-165,-285,-404,-524,-643,-762,-882,-1001,-1115,-1233,-1351,-1467,-1585,-1706,-1827,-1949,-2072,
-2197,-2321,-2449,-2575,-2707,-2843,-2974,-3111,-3248,-3389,-3529,-3669,-3815,-3961,-4110,-4260,-4412,-4565,-4716,-4869,
-5022,-5179,-5332,-5490,-5642,-5798,-5947,-6097,-6241,-6390,-6528,-6661,-6789,-6904,-7014,-7103,-7180,-7243,-7283,-7305,
-7303,-7271,-7205,-7102,-6956,-6765,-6517,-6210,-5839,-5403,-4898,-4319,-3674,-2969,-2204,-1391,-536,350,1254,2168,
3073,3954,4799,5603,6352,7037,7656,8198,8662,9050,9359,9597,9767,9875,9925,9925,9884,9803,9690,9558,
9399,9228,9037,8839,8627,8409,8185,7959,7736,7508,7282,7055,6830,6611,6387,6169,5957,5747,5543,5344,
5145,4955,4766,4584,4408,4235,4072,3910,3753,3600,3449,3302,3157,3020,2885,2754,2626,2504,2384,2268,
2156,2048,1940,1839,1740,1639,1543,1446,1355,1258,1170,1082,997,913,830,747,669,590,512,434,
358,282,209,129,53,-21,-98,-173,-250,-321,-396,-471,-544,-617,-688,-762,-836,-910,-984,-1060,
-1139,-1214,-1295,-1376,-1458,-1538,-1619,-1702,-1786,-1873,-1960,-2051,-2139,-2238,-2332,-2431,-2533,-2636,-2741,-2850,
-2959,-3074,-3185,-3303,-3419,-3541,-3665,-3792,-3923,-4058,-4194,-4333,-4475,-4623,-4768,-4922,-5073,-5227,-5385,-5542,
-5698,-5860,-6022,-6187,-6352,-6518,-6685,-6847,-7009,-7167,-7322,-7473,-7622,-7762,-7895,-8019,-8133,-8236,-8326,-8402,
-8459,-8499,-8515,-8503,-8459,-8383,-8271,-8115,-7917,-7666,-7366,-7007,-6583,-6095,-5543,-4919,-4235,-3487,-2685,-1841,
-955,-52,858,1759,2635,3473,4262,4990,5656,6256,6779,7235,7618,7931,8175,8353,8470,8528,8536,8495,
8419,8305,8167,8004,7828,7633,7429,7219,7003,6785,6568,6347,6129,5912,5693,5479,5266,5058,4853,4651,
4453,4261,4072,3885,3703,3523,3350,3180,3013,2851,2691,2533,2377,2224,2077,1929,1785,1645,1508,1370,
1237,1101,969,840,711,587,463,338,213,90,-31,-154,-277,-395,-513,-633,-753,-873,-993,-1113,
-1231,-1352,-1470,-1589,-1712,-1832,-1957,-2084,-2212,-2342,-2469,-2601,-2736,-2870,-3008,-3148,-3289,-3432,-3576,-3720,
-3869,-4019,-4168,-4321,-4477,-4636,-4792,-4949,-5107,-5264,-5421,-5581,-5739,-5897,-6051,-6201,-6351,-6496,-6637,-6772,
-6903,-7024,-7133,-7226,-7304,-7362,-7402,-7415,-7403,-7360,-7278,-7160,-6993,-6776,-6502,-6173,-5775,-5310,-4770,-4158,
-3479,-2735,-1935,-1081,-187,736,1675,2611,3528,4413,5253,6043,6769,7430,8017,8529,8960,9314,9588,9792,
9927,10003,10024,9999,9932,9827,9694,9538,9362,9170,8968,8756,8536,8308,8077,7844,7608,7375,7142,6911,
6685,6463,6235,6020,5800,5589,5381,5178,4984,4790,4604,4419,4242,4067,3902,3739,3581,3430,3282,3136,
2994,2858,2724,2595,2467,2345,2223,2109,1994,1884,1778,1674,1576,1481,1385,1290,1200,1109,1018,933,
843,763,680,595,518,438,359,280,206,133,56,-15,-90,-164,-239,-314,-390,-465,-537,-611,
-688,-762,-835,-906,-980,-1053,-1128,-1201,-1277,-1353,-1429,-1509,-1594,-1675,-1758,-1840,-1925,-2010,-2099,-2188,
-2279,-2372,-2466,-2562,-2662,-2762,-2870,-2975,-3086,-3198,-3313,-3427,-3548,-3669,-3791,-3917,-4046,-4178,-4317,-4453,
-4595,-4740,-4886,-5040,-5193,-5350,-5508,-5667,-5828,-5990,-6151,-6316,-6481,-6648,-6814,-6980,-7145,-7307,-7463,-7619,
-7768,-7914,-8051,-8177,-8297,-8402,-8491,-8572,-8632,-8676,-8699,-8694,-8658,-8590,-8482,-8331,-8137,-7891,-7590,-7229,
-6807,-6318,-5759,-5132,-4444,-3688,-2882,-2026,-1131,-211,720,1644,2548,3415,4232,4986,5680,6298,6841,7306,
7698,8015,8261,8441,8560,8621,8629,8591,8515,8404,8264,8100,7917,7723,7514,7301,7081,6856,6633,6407,
6188,5970,5752,5536,5326,5117,4909,4708,4507,4315,4127,3940,3758,3578,3402,3231,3064,2901,2744,2587,
2433,2282,2136,1986,1844,1704,1568,1433,1300,1170,1039,908,780,658,533,411,290,171,48,-71,
-189,-308,-425,-544,-661,-776,-894,-1012,-1131,-1247,-1366,-1484,-1602,-1722,-1843,-1968,-2094,-2220,-2348,-2478,
-2609,-2741,-2874,-3012,-3151,-3295,-3435,-3580,-3725,-3869,-4019,-4168,-4319,-4477,-4633,-4788,-4945,-5101,-5256,-5413,
-5571,-5727,-5882,-6033,-6180,-6326,-6464,-6597,-6726,-6849,-6963,-7060,-7146,-7215,-7260,-7282,-7281,-7252,-7184,-7079,
-6932,-6736,-6484,-6179,-5811,-5381,-4882,-4311,-3673,-2971,-2201,-1383,-519,382,1304,2235,3153,4047,4903,5710,
6459,7142,7757,8298,8765,9152,9466,9706,9876,9984,10033,10034,9991,9910,9797,9654,9489,9307,9111,8905,
8691,8470,8242,8012,7779,7545,7312,7080,6852,6627,6403,6187,5968,5754,5547,5344,5146,4951,4759,4578,
4396,4220,4047,3881,3720,3564,3415,3268,3126,2988,2852,2719,2592,2468,2346,2228,2113,1998,1890,1783,
1680,1582,1485,1389,1298,1207,1118,1027,939,854,769,685,604,521,444,361,285,209,131,56,
-18,-94,-166,-243,-318,-394,-471,-548,-621,-698,-773,-849,-925,-998,-1073,-1150,-1223,-1300,-1377,-1458,
-1541,-1623,-1708,-1795,-1881,-1968,-2059,-2148,-2243,-2337,-2433,-2529,-2629,-2731,-2835,-2943,-3053,-3168,-3284,-3403,
-3524,-3647,-3771,-3897,-4030,-4165,-4299,-4439,-4582,-4725,-4873,-5024,-5177,-5336,-5494,-5656,-5819,-5983,-6148,-6311,
-6476,-6644,-6809,-6976,-7140,-7303,-7463,-7618,-7769,-7916,-8055,-8186,-8307,-8417,-8513,-8594,-8657,-8705,-8730,-8733,
-8705,-8648,-8552,-8417,-8234,-8005,-7718,-7375,-6971,-6501,-5961,-5358,-4687,-3958,-3172,-2337,-1466,-569,345,1257,
2157,3022,3847,4616,5322,5960,6523,7014,7422,7761,8022,8217,8349,8422,8445,8421,8355,8254,8125,7970,
7797,7609,7405,7197,6980,6759,6532,6307,6084,5863,5643,5432,5218,5008,4802,4597,4400,4206,4014,3829,
3648,3467,3291,3118,2949,2785,2624,2466,2314,2162,2014,1865,1721,1580,1440,1304,1172,1039,908,779,
650,524,399,275,155,33,-86,-208,-329,-448,-567,-688,-803,-920,-1036,-1153,-1273,-1390,-1509,-1629,
-1748,-1868,-1990,-2114,-2239,-2366,-2496,-2626,-2756,-2889,-3021,-3158,-3299,-3440,-3580,-3727,-3872,-4016,-4165,-4312,
-4464,-4617,-4772,-4925,-5081,-5235,-5390,-5544,-5699,-5852,-6002,-6151,-6296,-6433,-6567,-6693,-6814,-6924,-7027,-7114,
-7190,-7245,-7281,-7291,-7273,-7225,-7138,-7011,-6837,-6612,-6332,-5992,-5591,-5123,-4592,-3994,-3332,-2608,-1826,-999,
-130,769,1681,2600,3497,4368,5196,5972,6687,7333,7906,8407,8829,9177,9454,9660,9799,9881,9909,9892,
9837,9743,9625,9478,9312,9128,8929,8722,8509,8290,8069,7842,7613,7385,7155,6929,6705,6483,6264,6052,
5839,5635,5431,5230,5036,4847,4665,4486,4311,4142,3972,3808,3651,3498,3349,3207,3065,2932,2800,2671,
2547,2426,2308,2195,2082,1974,1865,1763,1660,1561,1465,1373,1282,1192,1107,1020,934,851,768,687,
607,526,448,369,289,214,136,60,-13,-85,-159,-233,-309,-382,-456,-532,-606,-679,-755,-831,
-907,-981,-1058,-1133,-1208,-1284,-1360,-1439,-1522,-1603,-1687,-1773,-1860,-1948,-2039,-2131,-2224,-2321,-2419,-2517,
-2618,-2719,-2824,-2930,-3042,-3152,-3269,-3390,-3513,-3635,-3765,-3893,-4025,-4160,-4297,-4438,-4583,-4725,-4874,-5024,
-5176,-5332,-5490,-5653,-5815,-5977,-6143,-6305,-6470,-6634,-6797,-6958,-7119,-7279,-7431,-7580,-7723,-7860,-7989,-8109,
-8220,-8321,-8402,-8468,-8513,-8534,-8537,-8508,-8453,-8364,-8232,-8061,-7838,-7564,-7230,-6833,-6374,-5850,-5255,-4594,
-3874,-3097,-2274,-1411,-525,370,1270,2153,3011,3825,4588,5294,5934,6502,7001,7422,7771,8043,8245,8387,
8464,8492,8472,8412,8319,8197,8048,7880,7696,7502,7297,7087,6872,6654,6431,6208,5989,5768,5552,5342,
5132,4929,4727,4527,4334,4141,3956,3774,3596,3422,3251,3081,2915,2753,2592,2437,2287,2139,1994,1847,
1707,1566,1427,1293,1161,1031,902,773,649,521,396,273,150,29,-90,-211,-332,-452,-573,-693,
-809,-927,-1044,-1162,-1279,-1398,-1520,-1640,-1762,-1887,-2010,-2135,-2263,-2392,-2524,-2657,-2791,-2928,-3065,-3203,
-3343,-3487,-3633,-3780,-3929,-4081,-4231,-4383,-4538,-4693,-4848,-5008,-5167,-5323,-5484,-5642,-5796,-5949,-6105,-6258,
-6405,-6548,-6683,-6809,-6928,-7036,-7133,-7217,-7284,-7333,-7360,-7360,-7330,-7265,-7160,-7012,-6815,-6557,-6243,-5863,
-5416,-4899,-4313,-3661,-2946,-2173,-1352,-482,420,1345,2280,3205,4104,4968,5784,6540,7226,7839,8375,8831,
9206,9507,9735,9892,9988,10028,10018,9965,9875,9758,9613,9447,9263,9065,8853,8636,8411,8181,7952,7719,
7489,7257,7023,6793,6566,6339,6121,5906,5694,5486,5282,5083,4888,4701,4521,4343,4170,4003,3838,3676,
3519,3367,3218,3077,2939,2804,2674,2547,2425,2307,2190,2077,1969,1862,1758,1656,1558,1458,1361,1269,
1178,1089,1005,919,838,754,672,594,517,440,361,282,208,129,53,-23,-96,-168,-242,-316,
-387,-459,-535,-607,-680,-755,-826,-902,-977,-1052,-1130,-1204,-1282,-1358,-1437,-1517,-1596,-1677,-1759,-1844,
-1931,-2019,-2108,-2201,-2295,-2390,-2488,-2592,-2693,-2795,-2902,-3011,-3121,-3233,-3347,-3466,-3589,-3714,-3842,-3972,
-4106,-4243,-4381,-4524,-4670,-4817,-4968,-5120,-5274,-5429,-5588,-5750,-5914,-6078,-6247,-6416,-6583,-6749,-6911,-7077,
-7241,-7397,-7555,-7707,-7856,-7992,-8121,-8246,-8356,-8454,-8541,-8609,-8653,-8679,-8677,-8647,-8584,-8486,-8353,-8176,
-7947,-7663,-7321,-6916,-6445,-5902,-5292,-4614,-3871,-3072,-2222,-1335,-423,501,1421,2320,3188,4009,4775,5478,
6113,6679,7172,7587,7930,8196,8395,8526,8593,8608,8577,8504,8398,8263,8107,7931,7737,7533,7322,7108,
6890,6668,6445,6222,5999,5779,5562,5347,5136,4929,4728,4530,4336,4142,3957,3774,3594,3422,3251,3084,
2918,2758,2599,2444,2294,2146,2003,1858,1720,1580,1442,1310,1176,1047,920,794,669,543,420,299,
177,57,-60,-179,-298,-417,-535,-652,-770,-889,-1002,-1121,-1236,-1350,-1472,-1590,-1710,-1833,-1956,-2080,
-2206,-2332,-2464,-2595,-2727,-2864,-2999,-3137,-3276,-3416,-3561,-3708,-3854,-4004,-4155,-4309,-4462,-4615,-4769,-4927,
-5084,-5242,-5401,-5558,-5716,-5870,-6021,-6175,-6322,-6469,-6609,-6740,-6863,-6976,-7075,-7163,-7238,-7294,-7329,-7340,
-7325,-7275,-7189,-7063,-6892,-6666,-6384,-6041,-5630,-5152,-4602,-3986,-3304,-2561,-1764,-919,-37,872,1793,2713,
3617,4491,5324,6106,6827,7479,8058,8558,8976,9321,9587,9783,9914,9984,10002,9973,9901,9799,9670,9517,
9340,9155,8951,8737,8515,8289,8058,7826,7596,7363,7132,6903,6676,6447,6226,6008,5795,5585,5379,5177,
4980,4790,4604,4423,4246,4078,3911,3752,3594,3438,3290,3144,3003,2865,2730,2603,2478,2356,2236,2127,
2013,1906,1800,1699,1598,1499,1403,1308,1216,1124,1034,948,863,779,697,618,536,459,380,303,
227,151,73,-2,-80,-155,-231,-307,-381,-454,-528,-602,-673,-749,-821,-896,-970,-1044,-1121,-1197,
-1276,-1354,-1435,-1513,-1594,-1675,-1757,-1843,-1928,-2015,-2105,-2198,-2291,-2386,-2484,-2581,-2684,-2789,-2897,-3005,
-3116,-3228,-3342,-3459,-3578,-3702,-3828,-3960,-4090,-4226,-4363,-4505,-4648,-4796,-4946,-5098,-5254,-5409,-5566,-5726,
-5888,-6050,-6215,-6384,-6549,-6715,-6881,-7047,-7210,-7370,-7528,-7682,-7831,-7972,-8104,-8231,-8345,-8447,-8539,-8613,
-8672,-8706,-8719,-8704,-8657,-8574,-8457,-8298,-8093,-7839,-7526,-7154,-6718,-6214,-5644,-5007,-4305,-3541,-2721,-1858,
-962,-49,871,1779,2664,3505,4297,5029,5695,6295,6822,7274,7653,7962,8195,8365,8472,8519,8515,8465,
8378,8260,8116,7947,7765,7564,7358,7144,6926,6705,6485,6267,6046,5824,5607,5390,5177,4969,4766,4565,
4369,4174,3986,3800,3619,3443,3271,3102,2938,2773,2615,2457,2303,2154,2006,1863,1722,1582,1444,1307,
1171,1042,912,783,657,533,408,284,161,40,-81,-199,-318,-439,-557,-676,-794,-914,-1031,-1151,
-1267,-1385,-1502,-1622,-1743,-1867,-1991,-2118,-2241,-2368,-2498,-2629,-2760,-2896,-3035,-3174,-3312,-3451,-3593,-3739,
-3885,-4035,-4184,-4337,-4488,-4641,-4796,-4952,-5103,-5261,-5415,-5570,-5724,-5873,-6023,-6167,-6310,-6448,-6581,-6709,
-6827,-6931,-7025,-7105,-7166,-7206,-7225,-7219,-7185,-7114,-7007,-6856,-6659,-6407,-6104,-5734,-5303,-4802,-4231,-3595,
-2894,-2135,-1323,-473,413,1314,2223,3120,3994,4833,5626,6366,7042,7653,8192,8656,9042,9353,9594,9765,
9875,9929,9934,9892,9814,9704,9566,9408,9235,9046,8846,8636,8419,8195,7970,7740,7514,7285,7060,6836,
6611,6393,6176,5962,5752,5545,5346,5149,4957,4770,4586,4406,4233,4066,3905,3747,3592,3443,3296,3152,
3016,2878,2749,2620,2496,2375,2259,2144,2032,1925,1820,1721,1624,1526,1431,1338,1245,1156,1066,979,
894,808,725,647,563,485,407,330,256,180,103,28,-47,-125,-201,-277,-353,-428,-503,-577,
-653,-728,-802,-876,-951,-1025,-1102,-1177,-1255,-1336,-1419,-1501,-1585,-1668,-1752,-1838,-1925,-2015,-2106,-2197,
-2294,-2389,-2488,-2587,-2690,-2798,-2908,-3019,-3134,-3249,-3368,-3486,-3607,-3731,-3861,-3992,-4126,-4262,-4400,-4545,
-4689,-4838,-4989,-5145,-5301,-5459,-5619,-5781,-5940,-6104,-6266,-6433,-6597,-6764,-6928,-7089,-7247,-7404,-7555,-7703,
-7846,-7982,-8105,-8221,-8322,-8410,-8485,-8540,-8582,-8597,-8586,-8548,-8472,-8359,-8206,-8007,-7758,-7453,-7092,-6669,
-6182,-5625,-5006,-4323,-3581,-2787,-1945,-1071,-173,731,1634,2514,3356,4147,4883,5553,6154,6684,7137,7517,
7827,8068,8247,8362,8423,8431,8395,8320,8213,8075,7916,7741,7548,7348,7136,6919,6699,6477,6259,6042,
5823,5609,5396,5184,4977,4771,4571,4376,4183,3993,3812,3628,3451,3275,3105,2941,2776,2619,2462,2307,
2158,2008,1860,1720,1579,1440,1307,1173,1040,909,781,651,525,403,278,156,34,-87,-208,-329,
-448,-569,-685,-802,-921,-1039,-1159,-1278,-1398,-1516,-1635,-1755,-1878,-2001,-2127,-2256,-2383,-2511,-2643,-2774,
-2909,-3045,-3184,-3325,-3470,-3613,-3757,-3903,-4053,-4202,-4353,-4507,-4664,-4820,-4977,-5132,-5288,-5446,-5603,-5759,
-5916,-6068,-6218,-6364,-6504,-6641,-6770,-6895,-7012,-7116,-7207,-7282,-7337,-7370,-7377,-7357,-7302,-7212,-7078,-6898,
-6664,-6374,-6026,-5610,-5133,-4583,-3962,-3277,-2526,-1721,-865,30,953,1893,2824,3735,4612,5441,6211,6922,
7561,8124,8614,9025,9358,9618,9806,9930,9994,10004,9973,9900,9794,9659,9499,9318,9127,8922,8711,8492,
8267,8039,7805,7572,7341,7108,6877,6652,6431,6211,5993,5780,5572,5366,5167,4974,4785,4598,4419,4240,
4070,3900,3739,3583,3431,3286,3143,3003,2867,2735,2607,2484,2362,2244,2132,2017,1909,1803,1699,1601,
1502,1409,1317,1229,1138,1052,965,880,796,713,633,552,472,394,316,241,166,92,20,-51,
-127,-199,-275,-349,-423,-496,-571,-644,-719,-792,-865,-940,-1012,-1087,-1158,-1234,-1309,-1387,-1465,-1547,
-1631,-1715,-1800,-1884,-1972,-2060,-2151,-2243,-2337,-2433,-2531,-2628,-2729,-2834,-2940,-3055,-3167,-3285,-3403,-3524,
-3645,-3771,-3899,-4030,-4163,-4300,-4439,-4584,-4726,-4874,-5022,-5179,-5336,-5496,-5658,-5822,-5983,-6149,-6312,-6476,
-6643,-6808,-6972,-7137,-7296,-7452,-7604,-7753,-7894,-8029,-8154,-8269,-8372,-8456,-8529,-8581,-8615,-8622,-8608,-8563,
-8480,-8362,-8199,-7982,-7718,-7393,-7009,-6559,-6041,-5457,-4805,-4090,-3318,-2494,-1630,-735,179,1099,2008,2893,
3734,4526,5258,5921,6510,7027,7461,7824,8106,8323,8473,8566,8603,8589,8539,8448,8325,8177,8010,7825,
7628,7421,7205,6983,6759,6533,6307,6087,5868,5652,5439,5227,5019,4815,4615,4417,4225,4038,3855,3674,
3498,3322,3152,2987,2823,2668,2513,2361,2213,2065,1918,1777,1636,1502,1369,1238,1106,979,848,724,
597,473,353,231,112,-7,-126,-248,-367,-486,-603,-718,-835,-951,-1068,-1184,-1303,-1423,-1541,-1661,
-1780,-1904,-2027,-2154,-2280,-2410,-2541,-2671,-2805,-2939,-3076,-3215,-3358,-3502,-3649,-3795,-3941,-4089,-4240,-4393,
-4547,-4704,-4862,-5019,-5177,-5335,-5492,-5650,-5807,-5961,-6117,-6264,-6406,-6545,-6679,-6804,-6923,-7032,-7129,-7211,
-7276,-7323,-7343,-7335,-7296,-7224,-7110,-6951,-6737,-6473,-6148,-5760,-5308,-4789,-4203,-3550,-2829,-2054,-1222,-349,
559,1489,2425,3344,4240,5094,5898,6638,7309,7908,8431,8874,9244,9535,9753,9906,9994,10029,10018,9963,
9871,9751,9601,9430,9241,9039,8826,8607,8381,8155,7922,7687,7452,7216,6983,6753,6528,6305,6083,5868,
5658,5448,5243,5049,4857,4668,4486,4308,4132,3960,3796,3633,3478,3328,3183,3040,2903,2770,2641,2513,
2389,2273,2157,2043,1932,1824,1717,1615,1513,1417,1324,1233,1144,1056,969,885,798,716,638,553,
473,394,315,236,159,83,11,-64,-138,-209,-284,-358,-432,-508,-583,-658,-731,-806,-881,-956,
-1031,-1108,-1181,-1257,-1331,-1408,-1486,-1566,-1649,-1735,-1818,-1905,-1995,-2083,-2174,-2268,-2361,-2459,-2557,-2655,
-2758,-2861,-2965,-3075,-3186,-3302,-3422,-3544,-3668,-3793,-3923,-4053,-4186,-4325,-4465,-4607,-4749,-4897,-5047,-5198,
-5356,-5515,-5677,-5840,-6005,-6170,-6335,-6502,-6668,-6833,-7000,-7163,-7326,-7485,-7638,-7789,-7931,-8071,-8201,-8322,
-8429,-8526,-8603,-8665,-8706,-8725,-8720,-8687,-8624,-8526,-8384,-8197,-7954,-7662,-7307,-6890,-6404,-5850,-5231,-4542,
-3795,-2990,-2144,-1263,-357,559,1470,2366,3229,4047,4808,5509,6140,6698,7176,7581,7904,8157,8339,8455,
8517,8525,8488,8414,8305,8169,8009,7831,7641,7440,7228,7010,6789,6564,6338,6113,5890,5671,5456,5244,
5036,4831,4629,4429,4234,4047,3861,3682,3504,3328,3158,2990,2826,2666,2510,2356,2208,2060,1915,1771,
1631,1492,1360,1227,1095,968,839,712,585,461,339,217,97,-23,-140,-260,-381,-500,-617,-733,
-850,-965,-1081,-1197,-1316,-1434,-1551,-1674,-1794,-1913,-2038,-2160,-2290,-2418,-2549,-2680,-2813,-2943,-3081,-3218,
-3358,-3501,-3645,-3791,-3937,-4083,-4236,-4382,-4536,-4691,-4845,-4999,-5154,-5310,-5465,-5616,-5770,-5923,-6071,-6217,
-6359,-6492,-6619,-6738,-6848,-6947,-7039,-7112,-7170,-7209,-7218,-7202,-7157,-7072,-6951,-6781,-6559,-6283,-5945,-5544,
-5075,-4547,-3949,-3292,-2570,-1799,-978,-115,775,1681,2591,3488,4360,5190,5971,6692,7345,7924,8428,8856,
9206,9487,9695,9838,9921,9952,9937,9878,9791,9674,9529,9366,9183,8983,8777,8562,8341,8118,7893,7664,
7436,7205,6977,6751,6527,6309,6091,5880,5671,5465,5265,5068,4880,4696,4516,4343,4170,4005,3840,3681,
3523,3375,3229,3086,2953,2818,2690,2562,2442,2323,2210,2097,1991,1882,1778,1672,1572,1477,1379,1288,
1196,1109,1024,939,853,771,692,609,532,452,374,293,215,137,62,-17,-88,-164,-236,-310,
-385,-462,-534,-608,-684,-758,-833,-910,-987,-1065,-1140,-1218,-1295,-1373,-1452,-1532,-1614,-1698,-1785,-1870,
-1962,-2050,-2143,-2236,-2335,-2430,-2532,-2635,-2738,-2843,-2949,-3058,-3172,-3287,-3405,-3527,-3653,-3781,-3909,-4044,
-4179,-4318,-4460,-4603,-4751,-4899,-5049,-5200,-5354,-5511,-5672,-5834,-5999,-6167,-6333,-6499,-6664,-6828,-6990,-7153,
-7313,-7469,-7619,-7765,-7901,-8034,-8158,-8270,-8371,-8462,-8533,-8583,-8613,-8618,-8596,-8547,-8463,-8346,-8183,-7975,
-7713,-7398,-7019,-6577,-6069,-5496,-4852,-4148,-3381,-2568,-1712,-832,66,963,1849,2710,3533,4305,5022,5677,
6262,6779,7223,7594,7890,8116,8274,8367,8407,8398,8346,8259,8141,7997,7834,7651,7459,7257,7047,6836,
6618,6399,6178,5954,5735,5516,5302,5093,4886,4683,4484,4289,4095,3910,3726,3547,3374,3203,3032,2867,
2702,2543,2383,2234,2085,1939,1796,1653,1512,1373,1238,1102,972,845,717,591,464,340,217,94,
-28,-148,-267,-389,-509,-630,-749,-871,-985,-1104,-1222,-1337,-1457,-1577,-1697,-1821,-1942,-2066,-2190,-2319,
-2448,-2578,-2710,-2846,-2980,-3117,-3257,-3394,-3536,-3681,-3828,-3977,-4126,-4278,-4431,-4582,-4737,-4892,-5049,-5205,
-5364,-5519,-5676,-5830,-5984,-6135,-6283,-6426,-6571,-6705,-6832,-6943,-7050,-7140,-7218,-7278,-7322,-7340,-7336,-7299,
-7228,-7118,-6962,-6758,-6500,-6180,-5794,-5340,-4813,-4219,-3561,-2837,-2060,-1235,-369,526,1446,2366,3275,4160,
5009,5808,6550,7226,7833,8360,8803,9176,9469,9687,9842,9931,9967,9953,9897,9805,9687,9542,9377,9198,
9004,8795,8577,8354,8127,7898,7669,7438,7212,6983,6755,6530,6308,6089,5876,5666,5459,5260,5062,4870,
4680,4501,4323,4157,3990,3829,3670,3516,3366,3218,3075,2938,2805,2674,2549,2425,2308,2194,2084,1975,
1870,1770,1670,1571,1474,1379,1284,1195,1107,1020,937,853,770,693,611,534,459,383,308,233,
156,82,8,-68,-142,-217,-288,-362,-435,-507,-577,-652,-723,-797,-869,-939,-1016,-1092,-1168,-1247,
-1324,-1402,-1480,-1561,-1643,-1725,-1806,-1896,-1986,-2072,-2166,-2256,-2353,-2451,-2551,-2653,-2760,-2867,-2974,-3084,
-3197,-3311,-3430,-3549,-3676,-3803,-3933,-4066,-4203,-4344,-4484,-4629,-4779,-4928,-5081,-5233,-5389,-5547,-5707,-5868,
-6034,-6199,-6366,-6530,-6695,-6862,-7021,-7181,-7339,-7492,-7641,-7784,-7919,-8044,-8161,-8262,-8356,-8435,-8497,-8539,
-8556,-8545,-8507,-8430,-8321,-8173,-7979,-7734,-7437,-7082,-6660,-6174,-5621,-5000,-4312,-3563,-2756,-1902,-1015,-104,
815,1722,2606,3454,4248,4990,5664,6272,6810,7271,7663,7986,8233,8416,8533,8593,8598,8557,8477,8367,
8225,8065,7883,7687,7484,7273,7055,6839,6619,6400,6179,5961,5742,5525,5312,5104,4897,4697,4498,4304,
4116,3929,3747,3569,3394,3225,3059,2896,2736,2578,2423,2271,2123,1977,1835,1694,1555,1419,1284,1151,
1022,893,768,642,517,393,270,146,28,-95,-214,-329,-452,-568,-690,-807,-928,-1045,-1162,-1278,
-1399,-1514,-1637,-1760,-1883,-2008,-2133,-2259,-2389,-2521,-2653,-2789,-2925,-3065,-3206,-3346,-3490,-3632,-3780,-3929,
-4079,-4236,-4390,-4544,-4699,-4858,-5013,-5173,-5334,-5495,-5654,-5811,-5967,-6120,-6272,-6419,-6567,-6706,-6839,-6962,
-7075,-7176,-7257,-7327,-7374,-7402,-7401,-7374,-7314,-7213,-7070,-6876,-6632,-6326,-5959,-5523,-5010,-4429,-3777,-3056,
-2278,-1447,-574,337,1267,2205,3128,4028,4889,5704,6463,7155,7778,8322,8787,9175,9483,9714,9878,9976,
10020,10008,9955,9864,9743,9596,9428,9242,9045,8835,8616,8390,8158,7923,7689,7455,7222,6991,6761,6532,
6307,6083,5866,5650,5445,5239,5038,4841,4651,4463,4285,4110,3941,3778,3621,3464,3314,3166,3021,2883,
2746,2615,2487,2362,2239,2122,2009,1900,1793,1691,1590,1493,1397,1301,1206,1116,1024,936,851,763,
682,602,518,441,361,285,211,134,59,-13,-89,-167,-242,-318,-393,-466,-540,-612,-687,-760,
-834,-908,-979,-1050,-1125,-1196,-1273,-1352,-1430,-1512,-1591,-1673,-1755,-1837,-1921,-2007,-2094,-2184,-2274,-2366,
-2459,-2556,-2655,-2759,-2864,-2972,-3083,-3195,-3306,-3423,-3537,-3660,-3782,-3906,-4038,-4170,-4306,-4442,-4584,-4728,
-4879,-5028,-5182,-5340,-5495,-5655,-5812,-5974,-6138,-6304,-6470,-6639,-6805,-6971,-7138,-7301,-7462,-7620,-7772,-7920,
-8058,-8193,-8317,-8426,-8526,-8613,-8683,-8736,-8771,-8777,-8753,-8698,-8605,-8473,-8297,-8075,-7800,-7468,-7072,-6613,
-6086,-5493,-4830,-4103,-3318,-2479,-1596,-680,250,1180,2096,2978,3817,4598,5314,5963,6538,7038,7465,7817,
8099,8312,8459,8548,8580,8558,8497,8401,8271,8116,7941,7750,7546,7332,7116,6893,6671,6451,6229,6011,
5793,5574,5361,5148,4941,4737,4537,4344,4152,3965,3781,3601,3425,3254,3090,2927,2766,2610,2456,2302,
2155,2009,1867,1728,1592,1457,1323,1189,1060,930,805,679,556,437,315,195,74,-44,-164,-281,
-398,-513,-633,-749,-864,-983,-1097,-1215,-1330,-1445,-1563,-1682,-1801,-1927,-2050,-2174,-2301,-2426,-2554,-2687,
-2820,-2958,-3094,-3234,-3375,-3514,-3657,-3802,-3948,-4096,-4248,-4403,-4555,-4708,-4861,-5018,-5171,-5328,-5480,-5638,
-5789,-5937,-6080,-6222,-6364,-6499,-6629,-6750,-6863,-6963,-7046,-7113,-7162,-7186,-7188,-7161,-7100,-7005,-6865,-6679,
-6445,-6155,-5806,-5393,-4913,-4365,-3745,-3055,-2310,-1504,-653,233,1139,2057,2969,3858,4712,5521,6276,6975,
7606,8163,8648,9058,9388,9647,9839,9963,10031,10045,10015,9945,9838,9703,9548,9374,9186,8985,8776,8558,
8336,8103,7875,7644,7414,7185,6959,6735,6513,6292,6075,5864,5656,5452,5252,5057,4868,4680,4498,4322,
4151,3987,3826,3670,3518,3370,3227,3086,2949,2815,2686,2560,2439,2317,2200,2087,1976,1871,1769,1668,
1572,1479,1382,1290,1199,1109,1020,929,848,763,679,597,516,435,358,279,205,129,53,-22,
-98,-177,-253,-333,-409,-487,-562,-640,-716,-791,-866,-941,-1014,-1089,-1163,-1241,-1321,-1403,-1488,-1573,
-1658,-1743,-1829,-1920,-2007,-2097,-2190,-2286,-2382,-2480,-2576,-2681,-2784,-2895,-3007,-3121,-3239,-3357,-3475,-3596,
-3723,-3850,-3979,-4114,-4250,-4387,-4528,-4674,-4820,-4971,-5128,-5283,-5446,-5604,-5764,-5928,-6088,-6252,-6416,-6582,
-6750,-6915,-7077,-7240,-7397,-7553,-7702,-7847,-7987,-8116,-8236,-8342,-8437,-8514,-8579,-8626,-8652,-8654,-8628,-8567,
-8472,-8336,-8152,-7920,-7636,-7294,-6891,-6423,-5891,-5291,-4630,-3908,-3134,-2308,-1444,-550,356,1264,2157,3019,
3834,4596,5295,5923,6477,6957,7362,7692,7957,8149,8284,8363,8388,8366,8305,8205,8078,7926,7754,7567,
7367,7156,6938,6715,6493,6270,6049,5832,5615,5400,5188,4979,4770,4568,4369,4174,3986,3799,3612,3433,
3255,3081,2914,2748,2591,2434,2278,2126,1974,1825,1681,1537,1402,1265,1129,997,863,733,604,474,
351,228,104,-18,-140,-262,-384,-504,-626,-743,-859,-978,-1098,-1215,-1337,-1456,-1575,-1694,-1814,-1935,
-2060,-2186,-2312,-2438,-2566,-2696,-2830,-2960,-3096,-3234,-3373,-3518,-3661,-3804,-3950,-4095,-4244,-4391,-4546,-4701,
-4854,-5008,-5167,-5322,-5474,-5631,-5786,-5937,-6091,-6238,-6382,-6522,-6652,-6779,-6898,-7011,-7116,-7208,-7280,-7335,
-7366,-7372,-7347,-7294,-7201,-7065,-6881,-6645,-6355,-6003,-5591,-5113,-4570,-3956,-3280,-2540,-1743,-894,-9,907,
1836,2761,3669,4537,5361,6131,6833,7465,8028,8515,8924,9262,9524,9718,9847,9919,9935,9908,9845,9746,
9616,9463,9291,9101,8900,8692,8476,8257,8030,7803,7575,7343,7115,6888,6663,6444,6226,6012,5801,5592,
5390,5192,5000,4813,4630,4451,4274,4104,3935,3772,3615,3466,3320,3175,3041,2906,2775,2648,2523,2401,
2286,2172,2058,1949,1840,1739,1636,1538,1447,1356,1268,1182,1094,1010,925,840,758,678,598,519,
439,360,283,209,137,64,-5,-79,-151,-223,-299,-372,-448,-520,-595,-670,-741,-814,-893,-965,
-1037,-1108,-1185,-1255,-1333,-1411,-1490,-1573,-1656,-1743,-1830,-1916,-2004,-2093,-2185,-2278,-2374,-2470,-2567,-2666,
-2769,-2876,-2985,-3098,-3216,-3332,-3454,-3580,-3702,-3829,-3961,-4094,-4228,-4366,-4508,-4651,-4797,-4945,-5099,-5257,
-5416,-5577,-5739,-5904,-6065,-6226,-6389,-6551,-6717,-6879,-7038,-7196,-7352,-7502,-7645,-7781,-7916,-8037,-8149,-8246,
-8328,-8393,-8442,-8466,-8470,-8452,-8399,-8313,-8189,-8018,-7799,-7529,-7198,-6808,-6351,-5829,-5242,-4583,-3871,-3098,
-2283,-1429,-547,354,1253,2145,3011,3838,4614,5328,5980,6561,7063,7491,7843,8121,8326,8469,8553,8586,
8571,8516,8426,8306,8161,7994,7811,7618,7413,7197,6981,6757,6532,6308,6084,5868,5650,5438,5229,5025,
4821,4619,4422,4233,4045,3861,3681,3507,3331,3159,2992,2828,2671,2514,2363,2214,2068,1920,1776,1637,
1499,1365,1231,1102,971,843,713,586,460,337,215,94,-28,-148,-271,-394,-513,-634,-751,-867,
-985,-1104,-1223,-1344,-1465,-1586,-1709,-1829,-1955,-2083,-2211,-2340,-2470,-2603,-2740,-2875,-3012,-3152,-3292,-3436,
-3584,-3732,-3882,-4032,-4183,-4334,-4489,-4648,-4805,-4965,-5127,-5286,-5444,-5605,-5762,-5923,-6081,-6233,-6383,-6528,
-6663,-6795,-6914,-7033,-7136,-7229,-7308,-7370,-7408,-7420,-7401,-7351,-7264,-7130,-6943,-6709,-6409,-6048,-5621,-5129,
-4568,-3939,-3248,-2496,-1686,-827,72,1005,1949,2890,3809,4697,5532,6311,7019,7657,8213,8690,9091,9411,
9659,9836,9949,10003,10005,9965,9887,9773,9633,9473,9290,9090,8878,8657,8431,8203,7971,7736,7503,7267,
7030,6795,6563,6337,6114,5897,5683,5471,5263,5063,4867,4676,4491,4309,4135,3963,3792,3624,3466,3312,
3161,3018,2879,2742,2610,2483,2357,2237,2120,2007,1897,1786,1679,1575,1469,1369,1275,1177,1093,1003,
916,832,747,664,583,503,424,341,266,182,105,29,12,61,-781,-991,-853,-834,-712,-666,
-564,-478,-322,-153,112,385,690,967,1241,1480,1710,1902,2054,2195,2337,2484,2650,2821,3009,3161,
3277,3396,3510,3622,3750,3899,4084,4298,4557,4851,5148,5434,5698,5952,6190,6440,6680,6920,7150,7349,
7538,7698,7839,7930,7949,7946,7907,7881,7819,7769,7724,7669,7615,7566,7516,7473,7424,7359,7313,7293,
7289,7292,7310,7309,7309,7269,7228,7160,7091,6979,6853,6692,6537,6355,6141,5906,5646,5345,5044,4718,
4411,4089,3756,3429,3115,2785,2491,2189,1879,1568,1244,946,658,370,69,-228,-537,-837,-1148,-1463,
-1775,-2111,-2464,-2827,-3178,-3527,-3881,-4234,-4591,-4958,-5311,-5650,-5982,-6286,-6607,-6915,-7195,-7448,-7698,-7924,
-8159,-8399,-8634,-8835,-8976,-9077,-9168,-9258,-9355,-9450,-9540,-9627,-9719,-9843,-9988,-10119,-10227,-10318,-10387,-10466,
-10581,-10691,-10807,-10925,-11008,-11112,-11188,-11279,-11306,-11290,-11218,-11138,-11040,-10959,-10861,-10748,-10611,-10435,-10254,-10070,
-9860,-9639,-9374,-9106,-8859,-8631,-8408,-8220,-8014,-7798,-7580,-7365,-7159,-6936,-6711,-6470,-6207,-5966,-5750,-5524,
-5306,-5052,-4776,-4491,-4215,-3934,-3664,-3373,-3103,-2847,-2590,-2356,-2153,-1929,-1725,-1517,-1320,-1152,-993,-856,
-743,-626,-532,-463,-410,-357,-300,-234,-181,-143,-96,-50,-23,13,38,81,104,143,191,241,
307,366,431,489,547,614,703,781,872,961,1050,1170,1285,1402,1516,1633,1743,1838,1951,2072,
2209,2319,2465,2597,2749,2908,3060,3213,3363,3491,3663,3823,4014,4222,4429,4638,4876,5099,5343,5580,
5811,6026,6230,6448,6685,6908,7138,7361,7549,7730,7906,8065,8219,8349,8447,8570,8695,8841,8975,9105,
9214,9306,9378,9464,9562,9654,9714,9765,9829,9907,9975,10037,10065,10029,9958,9868,9781,9686,9549,9407,
9237,9067,8898,8714,8514,8287,8004,7723,7473,7230,7012,6794,6568,6368,6176,5996,5841,5642,5435,5199,
4975,4778,4606,4418,4216,3998,3747,3480,3209,2912,2587,2213,1836,1474,1125,807,473,118,-242,-617,
-957,-1298,-1630,-1953,-2280,-2568,-2807,-3014,-3180,-3360,-3557,-3763,-3968,-4149,-4334,-4521,-4718,-4923,-5124,-5296,
-5481,-5679,-5903,-6170,-6451,-6739,-7016,-7270,-7552,-7809,-8078,-8302,-8528,-8701,-8887,-9078,-9284,-9464,-9600,-9684,
-9749,-9781,-9797,-9815,-9811,-9770,-9749,-9725,-9723,-9729,-9723,-9689,-9627,-9563,-9508,-9453,-9420,-9364,-9312,-9265,
-9218,-9180,-9130,-9045,-8915,-8762,-8589,-8421,-8253,-8080,-7878,-7656,-7430,-7217,-6980,-6741,-6484,-6196,-5903,-5646,
-5378,-5170,-4944,-4715,-4497,-4284,-4086,-3886,-3683,-3477,-3270,-3071,-2898,-2742,-2598,-2442,-2266,-2098,-1927,-1752,
-1585,-1411,-1233,-1075,-914,-784,-671,-557,-450,-329,-231,-124,-35,51,127,204,253,307,340,366,
412,453,491,547,592,633,676,716,763,823,866,926,993,1075,1182,1280,1403,1523,1638,1757,
1902,2044,2195,2334,2505,2699,2880,3086,3304,3505,3714,3892,4061,4252,4440,4635,4835,5011,5217,5413,
5632,5840,6055,6229,6416,6613,6822,7040,7273,7503,7742,7975,8237,8480,8720,8925,9096,9263,9444,9609,
9770,9923,10043,10127,10190,10247,10292,10283,10232,10170,10089,10039,9985,9940,9877,9790,9705,9625,9534,9459,
9341,9225,9114,9016,8940,8891,8821,8707,8573,8405,8244,8061,7855,7622,7372,7106,6855,6594,6341,6055,
5709,5361,5000,4644,4316,3977,3638,3316,3010,2730,2489,2236,1972,1678,1390,1113,870,630,404,158,
-82,-338,-570,-813,-1084,-1404,-1739,-2092,-2424,-2751,-3064,-3382,-3714,-4056,-4371,-4686,-5000,-5317,-5648,-5962,
-6241,-6493,-6690,-6859,-7030,-7207,-7387,-7539,-7672,-7812,-7962,-8105,-8263,-8398,-8498,-8593,-8688,-8813,-8978,-9140,
-9307,-9463,-9640,-9815,-9995,-10150,-10287,-10364,-10448,-10520,-10615,-10707,-10773,-10786,-10790,-10747,-10700,-10625,-10530,-10398,
-10242,-10079,-9935,-9801,-9654,-9507,-9331,-9139,-8952,-8769,-8585,-8408,-8201,-8004,-7826,-7668,-7508,-7348,-7150,-6939,
-6694,-6469,-6234,-5994,-5752,-5489,-5234,-4990,-4743,-4498,-4241,-3990,-3717,-3446,-3195,-2970,-2747,-2543,-2350,-2181,
-2016,-1873,-1726,-1596,-1448,-1317,-1194,-1095,-1034,-936,-864,-794,-706,-631,-555,-484,-422,-343,-261,-202,
-148,-113,-70,-25,13,57,101,152,190,245,285,334,367,389,424,472,508,576,630,702,
767,839,922,1024,1107,1204,1294,1390,1521,1666,1828,1994,2162,2355,2549,2764,2988,3208,3436,3681,
3930,4198,4490,4774,5069,5338,5601,5866,6128,6379,6625,6853,7077,7300,7538,7769,8001,8197,8385,8549,
8725,8907,9079,9243,9416,9579,9769,9967,10158,10332,10464,10578,10679,10778,10875,10959,11012,11036,11053,11062,
11063,11014,10939,10820,10663,10513,10356,10212,10053,9884,9696,9531,9358,9197,9014,8807,8598,8395,8208,8062,
7918,7768,7593,7408,7211,7018,6806,6570,6287,5999,5702,5415,5147,4856,4526,4180,3812,3433,3064,2683,
2290,1898,1515,1163,851,558,270,-52,-372,-671,-953,-1229,-1487,-1759,-2022,-2272,-2505,-2722,-2932,-3186,
-3466,-3778,-4080,-4393,-4684,-4980,-5290,-5618,-5937,-6224,-6519,-6808,-7134,-7439,-7754,-8053,-8294,-8502,-8699,-8887,
-9054,-9205,-9313,-9423,-9525,-9629,-9748,-9842,-9918,-9957,-9975,-10004,-10061,-10107,-10166,-10206,-10265,-10336,-10410,-10500,
-10562,-10591,-10589,-10580,-10580,-10578,-10558,-10517,-10457,-10368,-10273,-10168,-10036,-9868,-9661,-9414,-9185,-8956,-8735,-8511,
-8275,-8023,-7775,-7523,-7285,-7044,-6789,-6530,-6264,-6036,-5830,-5622,-5415,-5205,-4980,-4756,-4527,-4304,-4075,-3841,
-3587,-3362,-3137,-2932,-2725,-2515,-2307,-2085,-1866,-1681,-1486,-1314,-1146,-986,-859,-736,-636,-546,-443,-354,
-261,-181,-134,-74,-23,33,66,111,140,171,210,256,325,377,432,485,536,586,643,697,
759,838,894,993,1090,1196,1287,1382,1485,1590,1673,1792,1916,2038,2160,2291,2434,2591,2734,2892,
3037,3176,3322,3474,3661,3860,4042,4242,4456,4682,4916,5149,5386,5619,5838,6074,6334,6592,6859,7098,
7340,7567,7789,8013,8211,8366,8516,8641,8759,8910,9044,9144,9224,9285,9339,9396,9440,9475,9490,9499,
9519,9569,9630,9676,9696,9709,9705,9687,9668,9651,9596,9518,9431,9348,9266,9173,9042,8874,8665,8436,
8188,7953,7714,7442,7159,6890,6628,6383,6132,5865,5575,5278,4996,4744,4514,4285,4053,3808,3585,3378,
3150,2930,2663,2382,2083,1790,1506,1237,935,617,292,-51,-397,-745,-1117,-1491,-1885,-2264,-2595,-2913,
-3209,-3513,-3812,-4101,-4384,-4639,-4875,-5121,-5370,-5614,-5833,-6011,-6175,-6329,-6509,-6720,-6926,-7133,-7343,-7542,
-7762,-8011,-8235,-8445,-8637,-8812,-9017,-9227,-9439,-9659,-9828,-9980,-10112,-10215,-10334,-10409,-10440,-10443,-10435,-10417,
-10412,-10406,-10387,-10315,-10211,-10111,-10017,-9904,-9814,-9686,-9573,-9465,-9370,-9284,-9223,-9112,-8995,-8862,-8730,-8603,
-8456,-8305,-8147,-7954,-7775,-7583,-7410,-7196,-6954,-6677,-6390,-6107,-5826,-5554,-5276,-4998,-4709,-4444,-4188,-3941,
-3681,-3435,-3183,-2946,-2729,-2520,-2356,-2175,-1996,-1838,-1676,-1538,-1389,-1238,-1082,-935,-787,-669,-551,-444,
-332,-222,-101,-8,98,204,305,399,477,560,626,672,725,784,839,890,938,987,1053,1084,
1137,1189,1233,1275,1306,1367,1435,1501,1570,1665,1741,1827,1919,2026,2149,2248,2363,2508,2647,2818,
2984,3164,3339,3528,3706,3901,4092,4279,4469,4652,4859,5068,5280,5495,5701,5888,6063,6241,6437,6636,
6815,6998,7195,7397,7624,7840,8058,8268,8446,8633,8836,9030,9231,9404,9583,9734,9896,10036,10180,10273,
10333,10350,10362,10379,10377,10365,10320,10255,10172,10089,9999,9899,9775,9622,9468,9331,9220,9126,9014,8896,
8764,8637,8516,8390,8251,8080,7895,7703,7548,7370,7197,6989,6751,6478,6207,5919,5632,5315,4962,4627,
4278,3964,3655,3350,3021,2685,2334,2017,1706,1419,1125,825,543,297,62,-168,-402,-665,-948,-1242,
-1503,-1763,-2033,-2318,-2611,-2911,-3207,-3502,-3813,-4128,-4484,-4828,-5180,-5493,-5788,-6075,-6362,-6639,-6904,-7151,
-7374,-7580,-7799,-8016,-8228,-8396,-8532,-8645,-8751,-8869,-8989,-9109,-9216,-9314,-9428,-9567,-9699,-9820,-9923,-10013,
-10104,-10181,-10288,-10392,-10475,-10548,-10593,-10630,-10671,-10691,-10662,-10610,-10511,-10398,-10298,-10189,-10074,-9929,-9742,-9555,
-9374,-9168,-8962,-8745,-8513,-8268,-8041,-7835,-7656,-7447,-7254,-7047,-6840,-6621,-6434,-6221,-6010,-5774,-5552,-5327,
-5123,-4922,-4695,-4447,-4204,-3941,-3689,-3449,-3216,-2976,-2734,-2499,-2300,-2104,-1918,-1732,-1550,-1387,-1223,-1076,
-958,-845,-724,-633,-550,-481,-410,-341,-291,-227,-163,-121,-60,-42,-9,38,72,99,130,168,
201,233,278,318,363,393,433,473,519,560,616,679,730,791,884,973,1056,1141,1219,1317,
1437,1541,1665,1809,1943,2095,2259,2423,2609,2794,2963,3163,3365,3590,3825,4058,4315,4561,4814,5081,
5336,5600,5853,6076,6313,6558,6792,7046,7280,7484,7672,7861,8038,8216,8367,8515,8638,8762,8901,9046,
9202,9335,9445,9544,9644,9756,9858,9941,10013,10072,10135,10192,10258,10299,10288,10245,10191,10125,10051,9944,
9829,9675,9514,9352,9179,9013,8819,8591,8343,8105,7869,7661,7455,7243,7021,6805,6611,6419,6234,6020,
5784,5536,5304,5085,4871,4660,4417,4138,3864,3587,3300,2996,2652,2296,1921,1574,1230,895,565,213,
-131,-488,-828,-1135,-1459,-1781,-2092,-2389,-2651,-2876,-3085,-3320,-3565,-3810,-4047,-4259,-4486,-4718,-4958,-5197,
-5444,-5665,-5888,-6116,-6391,-6665,-6952,-7228,-7484,-7738,-7991,-8239,-8481,-8695,-8864,-9039,-9198,-9381,-9551,-9700,
-9810,-9897,-9952,-10016,-10062,-10115,-10135,-10142,-10140,-10164,-10188,-10229,-10239,-10247,-10233,-10209,-10186,-10187,-10168,-10131,
-10080,-10035,-9990,-9944,-9870,-9768,-9622,-9457,-9282,-9106,-8933,-8719,-8478,-8242,-7983,-7732,-7475,-7209,-6933,-6630,
-6326,-6047,-5789,-5530,-5275,-5026,-4770,-4533,-4306,-4087,-3869,-3638,-3404,-3184,-2991,-2794,-2610,-2412,-2216,-2022,
-1828,-1636,-1450,-1261,-1071,-885,-722,-565,-422,-297,-168,-35,81,197,292,384,463,538,615,663,
719,769,816,861,912,959,1009,1042,1081,1127,1182,1224,1292,1334,1391,1467,1538,1622,1711,1795,
1893,1989,2089,2202,2312,2436,2545,2686,2829,2983,3136,3292,3438,3589,3744,3911,4080,4254,4415,4586,
4772,4963,5170,5376,5571,5760,5955,6175,6377,6617,6842,7065,7290,7537,7765,8006,8220,8426,8611,8786,
8957,9145,9310,9454,9565,9665,9765,9871,9933,9974,9992,9998,9981,9996,10023,10041,10007,9979,9950,9919,
9898,9863,9802,9738,9664,9601,9555,9496,9415,9308,9175,9030,8872,8710,8532,8314,8076,7823,7580,7338,
7090,6800,6506,6181,5860,5559,5262,4961,4659,4351,4062,3803,3558,3298,3025,2734,2459,2192,1943,1693,
1440,1170,884,613,348,62,-234,-560,-910,-1256,-1587,-1911,-2240,-2568,-2919,-3260,-3585,-3895,-4205,-4523,
-4838,-5157,-5439,-5681,-5906,-6119,-6350,-6583,-6792,-6976,-7163,-7335,-7534,-7729,-7931,-8103,-8267,-8408,-8581,-8778,
-8976,-9166,-9341,-9516,-9689,-9863,-10055,-10200,-10326,-10426,-10512,-10612,-10696,-10769,-10822,-10843,-10828,-10807,-10775,-10732,
-10670,-10560,-10447,-10340,-10234,-10146,-10041,-9927,-9801,-9652,-9511,-9391,-9253,-9115,-8958,-8812,-8656,-8508,-8364,-8221,
-8034,-7830,-7627,-7408,-7205,-6970,-6720,-6479,-6217,-5960,-5712,-5467,-5208,-4948,-4656,-4401,-4155,-3920,-3695,-3479,
-3258,-3063,-2873,-2726,-2559,-2390,-2228,-2071,-1939,-1811,-1699,-1591,-1486,-1361,-1254,-1153,-1069,-973,-879,-772,
-683,-596,-518,-448,-375,-304,-228,-153,-101,-31,31,96,163,225,280,343,390,454,533,599,
687,761,839,924,1023,1125,1243,1340,1459,1576,1715,1872,2041,2189,2370,2549,2741,2940,3143,3357,
3576,3785,4016,4247,4504,4733,4984,5197,5423,5655,5886,6124,6330,6535,6718,6934,7152,7372,7579,7769,
7943,8140,8309,8504,8696,8866,9025,9213,9389,9570,9742,9888,10019,10122,10220,10329,10405,10472,10514,10522,
10520,10530,10499,10462,10384,10268,10144,10013,9900,9782,9638,9493,9326,9174,9028,8879,8724,8547,8346,8171,
8008,7861,7697,7520,7316,7121,6914,6711,6498,6252,5978,5681,5395,5121,4846,4555,4223,3884,3553,3207,
2884,2553,2214,1856,1519,1207,920,645,355,57,-232,-522,-780,-1027,-1284,-1544,-1815,-2073,-2307,-2537,
-2771,-3029,-3311,-3614,-3914,-4177,-4453,-4739,-5041,-5335,-5629,-5901,-6171,-6441,-6714,-6993,-7270,-7498,-7709,-7890,
-8079,-8261,-8426,-8564,-8691,-8791,-8891,-9010,-9130,-9227,-9309,-9354,-9420,-9491,-9565,-9628,-9698,-9742,-9796,-9847,
-9921,-9985,-10002,-10004,-9983,-9967,-9945,-9914,-9871,-9798,-9688,-9580,-9456,-9334,-9180,-8993,-8776,-8567,-8340,-8119,
-7908,-7691,-7455,-7205,-6969,-6749,-6517,-6283,-6035,-5796,-5565,-5335,-5121,-4924,-4700,-4475,-4245,-4029,-3793,-3576,
-3351,-3117,-2892,-2664,-2442,-2241,-2048,-1845,-1633,-1424,-1246,-1070,-900,-758,-618,-482,-370,-259,-180,-86,
-5,63,130,182,240,276,297,343,376,409,427,446,479,516,541,582,604,638,669,698,
742,778,816,870,924,986,1058,1114,1194,1259,1341,1422,1521,1616,1729,1834,1956,2081,2208,2346,
2508,2652,2809,2947,3109,3295,3483,3680,3893,4096,4319,4547,4785,5019,5259,5487,5740,5990,6242,6509,
6753,6989,7217,7442,7671,7894,8095,8274,8424,8574,8740,8890,9043,9163,9264,9359,9440,9539,9631,9701,
9746,9800,9848,9906,9971,10018,10047,10054,10027,10035,10021,9992,9935,9851,9761,9674,9568,9467,9315,9137,
8926,8711,8500,8298,8059,7817,7552,7307,7061,6829,6591,6345,6066,5798,5539,5308,5078,4845,4595,4341,
4095,3853,3634,3367,3101,2778,2496,2200,1906,1602,1301,957,615,264,-77,-413,-758,-1125,-1492,-1846,
-2164,-2471,-2771,-3083,-3378,-3680,-3949,-4204,-4464,-4714,-4972,-5226,-5457,-5669,-5864,-6072,-6300,-6538,-6783,-7023,
-7236,-7474,-7720,-7970,-8214,-8441,-8655,-8865,-9075,-9300,-9533,-9731,-9917,-10056,-10210,-10358,-10480,-10585,-10662,-10697,
-10742,-10770,-10818,-10859,-10855,-10834,-10811,-10765,-10738,-10713,-10659,-10599,-10535,-10464,-10409,-10371,-10313,-10230,-10137,-10025,
-9910,-9789,-9662,-9514,-9340,-9155,-8967,-8784,-8576,-8352,-8100,-7821,-7533,-7266,-7001,-6729,-6449,-6155,-5865,-5601,
-5329,-5072,-4799,-4547,-4284,-4029,-3793,-3583,-3364,-3153,-2937,-2738,-2546,-2364,-2171,-1988,-1800,-1599,-1436,-1278,
-1126,-981,-827,-678,-533,-396,-275,-160,-54,63,165,247,327,403,458,537,600,662,713,771,
804,874,923,970,1014,1053,1102,1169,1227,1308,1384,1460,1539,1620,1720,1828,1915,2037,2149,2279,
2408,2549,2710,2868,3012,3170,3339,3512,3691,3862,4046,4229,4413,4609,4819,5023,5221,5401,5593,5798,
6002,6200,6411,6612,6831,7040,7273,7503,7726,7942,8134,8342,8564,8757,8959,9151,9334,9498,9662,9824,
9970,10070,10149,10202,10266,10314,10360,10385,10383,10369,10332,10304,10285,10229,10164,10074,9986,9917,9832,9769,
9685,9589,9473,9373,9265,9147,9011,8862,8691,8508,8325,8162,7978,7756,7502,7232,6977,6718,6432,6137,
5829,5504,5201,4900,4614,4334,4013,3698,3386,3085,2803,2524,2243,1959,1680,1417,1177,930,669,369,
84,-200,-480,-768,-1045,-1347,-1661,-1979,-2276,-2574,-2871,-3206,-3531,-3876,-4192,-4474,-4772,-5048,-5336,-5625,
-5877,-6112,-6332,-6566,-6790,-7018,-7210,-7410,-7565,-7719,-7869,-8033,-8208,-8366,-8502,-8642,-8803,-8951,-9120,-9282,
-9407,-9526,-9637,-9756,-9885,-10014,-10113,-10179,-10251,-10306,-10365,-10400,-10410,-10382,-10323,-10269,-10221,-10160,-10077,-9979,
-9843,-9711,-9587,-9443,-9306,-9152,-8962,-8797,-8627,-8465,-8309,-8141,-7960,-7776,-7598,-7400,-7221,-7027,-6814,-6591,
-6376,-6168,-5961,-5739,-5511,-5266,-5002,-4755,-4501,-4269,-4043,-3777,-3541,-3317,-3101,-2898,-2700,-2509,-2314,-2136,
-1965,-1812,-1665,-1532,-1397,-1283,-1169,-1065,-970,-892,-790,-687,-595,-514,-443,-367,-289,-225,-148,-77,
-12,58,114,194,277,335,393,454,512,590,647,723,790,857,932,1019,1111,1204,1291,1372,
1468,1571,1683,1812,1934,2079,2214,2355,2513,2694,2857,3043,3217,3405,3603,3812,4035,4272,4494,4712,
4953,5185,5432,5662,5881,6105,6326,6546,6773,6993,7208,7383,7573,7755,7932,8106,8279,8416,8561,8701,
8846,9009,9171,9281,9399,9505,9622,9729,9821,9916,9967,10015,10073,10117,10166,10172,10143,10097,10040,9965,
9899,9807,9687,9545,9378,9243,9105,8936,8760,8551,8333,8128,7919,7735,7547,7339,7117,6916,6722,6527,
6330,6098,5868,5618,5379,5150,4929,4684,4407,4126,3839,3561,3265,2971,2639,2306,1951,1627,1315,1016,
678,352,26,-297,-603,-903,-1201,-1497,-1802,-2083,-2330,-2573,-2804,-3058,-3327,-3571,-3826,-4063,-4291,-4544,
-4802,-5075,-5339,-5562,-5807,-6065,-6321,-6600,-6864,-7130,-7378,-7604,-7833,-8076,-8302,-8493,-8655,-8828,-8983,-9144,
-9296,-9423,-9528,-9612,-9676,-9752,-9825,-9874,-9910,-9936,-9952,-9977,-10016,-10053,-10078,-10065,-10039,-10025,-10020,-9997,
-9967,-9920,-9863,-9805,-9733,-9664,-9574,-9443,-9298,-9127,-8954,-8793,-8596,-8378,-8166,-7920,-7690,-7453,-7215,-6969,
-6708,-6424,-6168,-5903,-5660,-5412,-5176,-4938,-4703,-4464,-4245,-4023,-3801,-3562,-3339,-3126,-2924,-2715,-2520,-2320,
-2119,-1920,-1728,-1543,-1360,-1187,-1013,-860,-704,-574,-442,-327,-216,-92,9,80,158,227,303,354,
402,443,485,514,548,590,620,657,676,712,754,787,825,864,897,935,982,1039,1113,1177,
1241,1311,1393,1475,1559,1656,1771,1869,1970,2093,2229,2360,2498,2631,2783,2924,3077,3250,3425,3598,
3765,3946,4145,4349,4553,4782,4990,5202,5414,5636,5884,6118,6350,6591,6833,7071,7318,7557,7777,7998,
8191,8379,8581,8773,8944,9096,9238,9372,9485,9602,9701,9771,9827,9861,9900,9952,9998,10029,10040,10031,
10041,10030,10023,10006,9960,9893,9848,9785,9731,9661,9561,9441,9311,9161,9019,8858,8671,8449,8222,7995,
7764,7546,7297,7042,6752,6466,6186,5926,5657,5381,5087,4810,4531,4282,4024,3769,3503,3220,2928,2673,
2415,2150,1860,1567,1279,990,691,413,98,-231,-585,-915,-1238,-1552,-1868,-2205,-2528,-2860,-3168,-3470,
-3766,-4062,-4373,-4664,-4918,-5168,-5394,-5631,-5878,-6089,-6319,-6527,-6723,-6932,-7148,-7361,-7586,-7763,-7960,-8138,
-8338,-8538,-8748,-8957,-9139,-9300,-9483,-9682,-9840,-9992,-10119,-10229,-10331,-10421,-10506,-10598,-10647,-10668,-10672,-10688,
-10691,-10671,-10632,-10571,-10498,-10421,-10356,-10296,-10228,-10128,-10012,-9906,-9802,-9687,-9576,-9443,-9293,-9148,-8989,-8852,
-8694,-8515,-8324,-8102,-7890,-7671,-7447,-7204,-6949,-6680,-6422,-6148,-5896,-5634,-5362,-5091,-4814,-4537,-4290,-4044,
-3811,-3572,-3337,-3122,-2918,-2729,-2531,-2350,-2167,-1988,-1833,-1676,-1531,-1389,-1236,-1100,-968,-853,-733,-609,
-499,-389,-277,-172,-86,-7,74,155,227,296,360,413,474,525,573,633,686,715,773,816,
879,935,987,1048,1111,1193,1278,1370,1458,1542,1628,1744,1864,1997,2129,2271,2411,2562,2729,2897,
3084,3265,3432,3623,3817,4028,4239,4443,4661,4856,5064,5285,5504,5727,5927,6130,6332,6552,6765,6996,
7201,7407,7607,7804,8016,8238,8424,8625,8797,8982,9173,9352,9531,9693,9822,9933,10053,10169,10259,10335,
10378,10413,10441,10455,10476,10453,10407,10327,10258,10185,10110,10015,9920,9799,9682,9557,9433,9320,9193,9023,
8863,8710,8559,8403,8238,8059,7868,7634,7446,7219,7008,6752,6479,6202,5925,5656,5378,5090,4776,4448,
4120,3814,3510,3192,2871,2528,2210,1919,1625,1349,1065,756,450,176,-98,-371,-648,-944,-1231,-1514,
-1789,-2038,-2316,-2608,-2915,-3228,-3519,-3793,-4085,-4381,-4692,-4983,-5274,-5544,-5797,-6064,-6342,-6616,-6855,-7087,
-7297,-7499,-7694,-7889,-8080,-8243,-8384,-8515,-8656,-8812,-8960,-9085,-9202,-9296,-9390,-9500,-9607,-9720,-9806,-9882,
-9946,-10032,-10113,-10185,-10236,-10250,-10263,-10260,-10255,-10250,-10213,-10163,-10073,-9991,-9903,-9805,-9680,-9537,-9371,-9192,
-9022,-8846,-8682,-8490,-8289,-8089,-7879,-7688,-7498,-7292,-7083,-6866,-6636,-6433,-6239,-6027,-5824,-5591,-5371,-5148,
-4918,-4699,-4478,-4237,-4008,-3769,-3570,-3357,-3136,-2918,-2715,-2512,-2331,-2155,-1988,-1829,-1659,-1513,-1385,-1268,
-1155,-1049,-948,-851,-762,-681,-623,-553,-477,-411,-342,-296,-227,-185,-127,-64,5,60,125,183,
227,299,357,425,502,561,625,698,781,873,955,1031,1123,1218,1334,1429,1542,1653,1780,1896,
2048,2195,2349,2506,2656,2820,3002,3180,3387,3592,3797,3996,4213,4450,4696,4921,5153,5385,5622,5873,
6111,6345,6583,6811,7023,7258,7481,7683,7873,8049,8221,8392,8550,8727,8878,9015,9128,9248,9371,9492,
9585,9685,9760,9834,9904,9964,10042,10089,10108,10126,10124,10122,10120,10084,10020,9941,9852,9769,9675,9556,
9429,9246,9068,8891,8707,8515,8323,8097,7871,7649,7433,7220,6996,6751,6509,6258,6031,5799,5563,5315,
5072,4801,4554,4307,4062,3790,3483,3180,2880,2580,2296,1993,1674,1335,991,665,351,27,-312,-650,
-992,-1318,-1631,-1915,-2207,-2510,-2819,-3092,-3364,-3611,-3878,-4142,-4416,-4675,-4922,-5136,-5368,-5603,-5857,-6113,
-6360,-6588,-6831,-7048,-7302,-7547,-7796,-8009,-8210,-8399,-8622,-8832,-9028,-9212,-9366,-9506,-9639,-9766,-9890,-9986,
-10052,-10106,-10153,-10205,-10256,-10286,-10288,-10289,-10263,-10258,-10237,-10228,-10187,-10146,-10083,-10019,-9964,-9914,-9844,-9752,
-9639,-9523,-9392,-9275,-9133,-8963,-8787,-8590,-8395,-8197,-7979,-7765,-7504,-7245,-6984,-6734,-6484,-6223,-5946,-5678,
-5414,-5149,-4901,-4653,-4409,-4163,-3910,-3688,-3473,-3253,-3040,-2823,-2625,-2419,-2225,-2048,-1873,-1692,-1506,-1334,
-1176,-1028,-883,-744,-605,-457,-338,-226,-130,-33,63,152,227,297,352,411,457,503,547,591,
618,652,692,723,753,790,822,869,900,953,1008,1063,1121,1178,1241,1312,1396,1488,1579,1675,
1779,1873,2003,2133,2266,2392,2531,2677,2848,3004,3176,3348,3522,3697,3885,4086,4288,4493,4688,4882,
5098,5323,5537,5770,5993,6221,6444,6675,6922,7152,7394,7620,7839,8058,8275,8506,8722,8907,9077,9263,
9424,9599,9730,9846,9951,10040,10120,10203,10261,10315,10321,10333,10335,10348,10340,10335,10281,10224,10170,10115,
10067,10006,9912,9819,9719,9613,9509,9375,9237,9086,8893,8714,8549,8364,8161,7920,7673,7417,7165,6901,
6648,6364,6068,5758,5463,5187,4915,4616,4330,4013,3713,3425,3141,2867,2570,2269,1975,1699,1429,1147,
854,552,241,-79,-363,-660,-962,-1296,-1628,-1945,-2256,-2568,-2876,-3202,-3535,-3862,-4160,-4450,-4727,-5023,
-5310,-5581,-5849,-6083,-6322,-6560,-6799,-7040,-7270,-7461,-7644,-7835,-8045,-8242,-8432,-8615,-8788,-8946,-9130,-9311,
-9495,-9653,-9792,-9924,-10064,-10191,-10326,-10437,-10539,-10620,-10671,-10730,-10802,-10831,-10836,-10814,-10778,-10756,-10706,-10663,
-10597,-10503,-10391,-10287,-10177,-10064,-9944,-9801,-9634,-9486,-9319,-9173,-9012,-8852,-8671,-8468,-8268,-8076,-7880,-7673,
-7436,-7198,-6970,-6735,-6490,-6256,-5990,-5725,-5448,-5183,-4930,-4672,-4414,-4162,-3892,-3646,-3413,-3192,-2981,-2767,
-2545,-2351,-2161,-1994,-1834,-1663,-1517,-1353,-1231,-1103,-981,-846,-736,-620,-518,-427,-338,-239,-167,-71,
17,95,156,228,288,375,423,469,537,581,632,683,737,800,847,908,957,1027,1090,1151,
1220,1296,1374,1454,1548,1656,1762,1878,1995,2125,2259,2413,2570,2729,2885,3048,3229,3429,3629,3832,
4031,4237,4448,4667,4878,5096,5313,5523,5743,5958,6187,6412,6609,6818,7020,7204,7423,7633,7820,7990,
8167,8346,8531,8713,8883,9045,9194,9330,9464,9600,9724,9831,9925,10002,10062,10146,10209,10225,10237,10216,
10179,10172,10132,10076,9988,9888,9783,9696,9574,9467,9329,9170,9015,8848,8713,8559,8387,8208,8023,7840,
7665,7476,7284,7068,6834,6614,6379,6158,5922,5660,5395,5112,4833,4567,4289,3984,3669,3335,3021,2726,
2434,2124,1823,1497,1190,878,592,301,20,-296,-583,-864,-1141,-1394,-1665,-1941,-2219,-2509,-2762,-3019,
-3278,-3555,-3843,-4124,-4381,-4645,-4895,-5167,-5438,-5725,-5991,-6244,-6467,-6712,-6954,-7188,-7414,-7607,-7800,-7965,
-8140,-8329,-8502,-8638,-8764,-8870,-8986,-9104,-9214,-9309,-9395,-9461,-9521,-9597,-9685,-9749,-9787,-9812,-9841,-9859,
-9892,-9896,-9896,-9874,-9843,-9799,-9757,-9704,-9627,-9528,-9401,-9279,-9152,-9007,-8862,-8689,-8496,-8294,-8111,-7915,
-7719,-7502,-7274,-7047,-6811,-6598,-6387,-6176,-5952,-5715,-5495,-5277,-5051,-4849,-4626,-4410,-4180,-3968,-3761,-3563,
-3348,-3133,-2920,-2715,-2533,-2340,-2155,-1979,-1777,-1611,-1458,-1316,-1190,-1059,-916,-801,-696,-585,-498,-421,
-344,-274,-197,-150,-95,-40,6,61,107,153,201,243,285,343,394,452,490,547,607,675,
738,817,883,963,1036,1112,1206,1300,1389,1495,1594,1714,1826,1958,2083,2224,2344,2489,2643,2803,
2973,3142,3315,3494,3694,3887,4107,4312,4518,4718,4937,5172,5406,5635,5862,6086,6321,6557,6777,7006,
7225,7412,7615,7798,7994,8184,8346,8503,8634,8773,8902,9037,9142,9238,9298,9368,9444,9515,9588,9637,
9660,9675,9674,9711,9715,9711,9677,9628,9582,9535,9474,9405,9313,9178,9043,8915,8785,8629,8461,8254,
8050,7853,7646,7451,7223,6992,6736,6474,6236,6006,5761,5500,5238,4971,4723,4481,4241,3981,3704,3418,
3156,2883,2619,2348,2049,1762,1458,1173,887,592,278,-53,-379,-693,-993,-1301,-1609,-1920,-2237,-2551,
-2837,-3116,-3400,-3699,-3972,-4252,-4506,-4739,-4991,-5227,-5465,-5728,-5950,-6160,-6372,-6601,-6834,-7058,-7286,-7489,
-7676,-7872,-8075,-8292,-8504,-8689,-8862,-9033,-9199,-9362,-9520,-9657,-9776,-9871,-9958,-10056,-10145,-10208,-10249,-10274,
-10295,-10308,-10315,-10312,-10282,-10230,-10168,-10115,-10080,-10022,-9954,-9855,-9761,-9643,-9545,-9437,-9314,-9180,-9032,-8861,
-8710,-8546,-8377,-8189,-7968,-7754,-7526,-7281,-7061,-6817,-6555,-6294,-6023,-5780,-5508,-5241,-4979,-4709,-4430,-4177,
-3932,-3699,-3466,-3227,-3000,-2783,-2569,-2375,-2186,-1987,-1800,-1616,-1444,-1294,-1132,-988,-833,-704,-569,-443,
-323,-209,-84,23,124,209,289,365,437,506,578,629,687,732,774,829,880,912,950,985,
1022,1082,1115,1156,1211,1258,1309,1380,1457,1533,1603,1680,1760,1876,1964,2093,2218,2345,2467,2613,
2764,2923,3074,3245,3413,3592,3766,3957,4153,4362,4552,4749,4958,5173,5387,5589,5792,6011,6231,6450,
6685,6913,7130,7327,7553,7770,7988,8209,8411,8614,8801,8982,9177,9372,9537,9675,9812,9934,10057,10171,
10258,10332,10393,10422,10477,10498,10515,10511,10472,10427,10382,10318,10276,10215,10117,10021,9909,9811,9720,9593,
9455,9311,9148,8996,8834,8678,8503,8304,8080,7874,7656,7430,7197,6930,6664,6385,6104,5849,5568,5275,
4952,4636,4337,4037,3732,3441,3114,2805,2489,2191,1916,1631,1312,1003,698,410,125,-162,-475,-776,
-1090,-1380,-1672,-1959,-2262,-2574,-2897,-3204,-3516,-3805,-4091,-4388,-4704,-5013,-5289,-5546,-5812,-6094,-6360,-6635,
-6871,-7109,-7334,-7539,-7759,-7978,-8192,-8375,-8537,-8711,-8888,-9074,-9235,-9400,-9526,-9658,-9787,-9933,-10080,-10193,
-10294,-10392,-10486,-10580,-10676,-10749,-10800,-10827,-10832,-10845,-10861,-10846,-10816,-10766,-10711,-10646,-10565,-10479,-10371,-10243,
-10106,-9946,-9820,-9659,-9504,-9326,-9155,-8959,-8769,-8581,-8397,-8200,-7971,-7742,-7533,-7313,-7091,-6873,-6647,-6400,
-6151,-5906,-5674,-5418,-5163,-4910,-4656,-4413,-4182,-3933,-3708,-3483,-3234,-3025,-2819,-2622,-2437,-2240,-2064,-1897,
-1736,-1605,-1464,-1337,-1215,-1085,-978,-882,-780,-693,-600,-523,-440,-369,-296,-237,-163,-89,-16,47,
99,159,231,281,345,409,461,504,568,631,704,770,845,906,979,1058,1140,1229,1324,1420,
1531,1650,1766,1915,2034,2173,2322,2472,2631,2811,2993,3186,3360,3551,3762,3990,4200,4429,4650,4864,
5088,5314,5547,5784,5999,6235,6448,6674,6897,7106,7305,7499,7679,7875,8065,8260,8434,8583,8745,8898,
9048,9193,9338,9447,9555,9637,9746,9851,9931,9988,10039,10061,10094,10103,10111,10098,10060,9992,9940,9877,
9808,9710,9602,9456,9324,9181,9043,8894,8725,8544,8342,8151,7986,7807,7603,7389,7166,6945,6722,6508,
6297,6053,5796,5553,5313,5063,4809,4527,4239,3946,3651,3368,3083,2789,2460,2143,1836,1524,1231,936,
613,296,-25,-323,-610,-883,-1183,-1468,-1773,-2055,-2321,-2592,-2853,-3126,-3410,-3669,-3915,-4158,-4408,-4670,
-4935,-5201,-5454,-5688,-5933,-6174,-6428,-6680,-6917,-7121,-7325,-7542,-7742,-7947,-8147,-8327,-8482,-8628,-8769,-8931,
-9050,-9165,-9259,-9346,-9422,-9501,-9576,-9659,-9691,-9724,-9748,-9783,-9817,-9830,-9815,-9803,-9780,-9751,-9729,-9695,
-9655,-9575,-9484,-9401,-9303,-9195,-9075,-8928,-8777,-8612,-8439,-8265,-8088,-7891,-7667,-7448,-7234,-7007,-6786,-6547,
-6315,-6080,-5834,-5606,-5389,-5161,-4921,-4677,-4460,-4225,-4014,-3792,-3587,-3374,-3155,-2953,-2753,-2565,-2374,-2180,
-1990,-1821,-1652,-1484,-1337,-1173,-1019,-876,-749,-635,-526,-413,-310,-216,-120,-44,27,80,145,212,
275,315,364,412,453,499,545,596,638,665,733,784,839,893,949,1015,1087,1162,1246,1328,
1422,1506,1602,1707,1823,1934,2057,2187,2308,2451,2588,2744,2909,3063,3216,3385,3569,3761,3943,4133,
4327,4535,4740,4956,5176,5395,5600,5820,6045,6273,6496,6733,6953,7163,7371,7584,7790,8002,8191,8361,
8539,8708,8872,9019,9161,9285,9375,9485,9584,9678,9758,9798,9835,9880,9908,9933,9964,9952,9933,9889,
9849,9821,9770,9706,9631,9538,9444,9339,9234,9116,8979,8812,8647,8481,8313,8124,7928,7713,7495,7256,
7040,6804,6564,6308,6043,5770,5522,5261,4999,4733,4455,4162,3882,3615,3352,3063,2772,2484,2191,1910,
1629,1340,1046,731,429,138,-158,-444,-758,-1081,-1392,-1687,-1989,-2265,-2566,-2870,-3182,-3475,-3753,-4017,
-4298,-4567,-4843,-5109,-5366,-5606,-5838,-6080,-6332,-6563,-6803,-7010,-7219,-7431,-7646,-7852,-8056,-8240,-8413,-8595,
-8769,-8951,-9128,-9272,-9419,-9544,-9662,-9797,-9916,-10019,-10097,-10170,-10233,-10296,-10337,-10387,-10401,-10394,-10383,-10366,
-10343,-10309,-10259,-10185,-10106,-10020,-9946,-9852,-9727,-9617,-9466,-9324,-9179,-9028,-8880,-8702,-8502,-8311,-8120,-7918,
-7715,-7496,-7265,-7033,-6787,-6546,-6319,-6072,-5810,-5549,-5301,-5046,-4795,-4547,-4309,-4052,-3801,-3566,-3341,-3127,
-2903,-2691,-2490,-2283,-2093,-1913,-1744,-1576,-1407,-1249,-1117,-984,-846,-728,-609,-497,-396,-290,-209,-110,
-23,57,125,189,251,321,376,432,489,532,582,621,671,714,763,804,859,891,954,1001,
1062,1121,1194,1257,1334,1418,1511,1603,1698,1809,1924,2041,2179,2323,2466,2613,2765,2933,3109,3296,
3471,3660,3860,4060,4254,4470,4693,4901,5114,5331,5550,5781,6001,6232,6452,6673,6896,7126,7347,7570,
7773,7977,8176,8378,8568,8779,8930,9109,9256,9409,9562,9703,9820,9935,10024,10108,10190,10251,10308,10346,
10356,10368,10364,10351,10338,10296,10232,10163,10082,9998,9924,9821,9708,9569,9431,9296,9150,8985,8818,8629,
8438,8238,8045,7840,7626,7396,7152,6911,6681,6426,6178,5912,5632,5355,5087,4812,4537,4236,3935,3634,
3344,3044,2746,2452,2137,1814,1502,1217,918,615,296,-12,-323,-618,-923,-1211,-1514,-1816,-2128,-2411,
-2702,-2985,-3276,-3572,-3865,-4154,-4428,-4690,-4964,-5231,-5512,-5779,-6033,-6272,-6518,-6758,-7006,-7243,-7477,-7691,
-7888,-8093,-8301,-8486,-8681,-8852,-9015,-9180,-9341,-9490,-9630,-9762,-9875,-9971,-10076,-10179,-10271,-10341,-10406,-10453,
-10494,-10522,-10563,-10585,-10582,-10550,-10532,-10500,-10463,-10407,-10331,-10262,-10168,-10064,-9957,-9848,-9712,-9558,-9391,-9232,
-9063,-8887,-8697,-8500,-8290,-8078,-7852,-7650,-7431,-7192,-6953,-6713,-6470,-6241,-5998,-5758,-5516,-5265,-5008,-4778,
-4544,-4300,-4057,-3823,-3600,-3378,-3161,-2952,-2750,-2539,-2347,-2156,-1982,-1811,-1644,-1478,-1334,-1182,-1052,-926,
-819,-696,-594,-486,-390,-312,-226,-138,-75,1,65,136,187,247,301,370,432,479,540,603,
650,712,777,843,907,975,1048,1128,1204,1295,1375,1471,1570,1664,1782,1894,2019,2141,2275,2422,
2572,2717,2877,3047,3218,3386,3588,3778,3979,4177,4379,4584,4803,5026,5249,5465,5687,5904,6118,6347,
6575,6789,7001,7217,7420,7634,7836,8029,8218,8395,8567,8738,8906,9064,9208,9332,9454,9566,9676,9772,
9851,9918,9967,10018,10061,10087,10102,10106,10090,10057,10017,9976,9914,9847,9762,9662,9566,9461,9339,9208,
9070,8915,8735,8574,8409,8226,8031,7818,7609,7397,7183,6955,6725,6473,6224,5952,5708,5454,5182,4909,
4635,4346,4084,3797,3513,3218,2921,2615,2328,2044,1752,1451,1148,847,553,253,-45,-334,-635,-944,
-1252,-1540,-1819,-2118,-2402,-2686,-2984,-3265,-3547,-3812,-4090,-4362,-4643,-4895,-5162,-5407,-5657,-5903,-6147,-6387,
-6619,-6827,-7043,-7257,-7482,-7684,-7876,-8057,-8236,-8404,-8583,-8744,-8908,-9057,-9177,-9304,-9440,-9550,-9654,-9738,
-9825,-9900,-9968,-10021,-10077,-10112,-10132,-10139,-10145,-10143,-10118,-10092,-10041,-9989,-9918,-9848,-9768,-9679,-9572,-9447,
-9315,-9182,-9033,-8885,-8718,-8554,-8369,-8183,-7989,-7800,-7588,-7378,-7152,-6935,-6714,-6486,-6249,-6029,-5784,-5550,
-5301,-5080,-4845,-4604,-4370,-4141,-3903,-3695,-3480,-3262,-3060,-2858,-2651,-2476,-2293,-2114,-1944,-1780,-1620,-1478,
-1329,-1194,-1072,-941,-826,-709,-627,-526,-427,-333,-256,-177,-106,-25,22,86,146,208,252,318,
365,422,471,519,577,630,692,751,819,883,956,1029,1107,1204,1293,1387,1493,1601,1716,1826,
1954,2086,2228,2371,2527,2678,2846,3010,3187,3372,3558,3740,3934,4134,4349,4562,4768,4989,5212,5424,
5655,5879,6111,6332,6550,6770,6988,7207,7421,7632,7833,8019,8204,8388,8563,8733,8896,9039,9181,9323,
9439,9560,9663,9757,9830,9903,9969,10021,10055,10079,10090,10093,10082,10062,10029,9970,9907,9826,9745,9661,
9550,9437,9306,9170,9014,8862,8701,8527,8339,8138,7937,7745,7534,7318,7093,6871,6627,6393,6150,5904,
5653,5376,5110,4843,4576,4301,4025,3737,3445,3146,2854,2566,2271,1957,1647,1340,1039,733,437,133,
-174,-486,-791,-1087,-1379,-1676,-1974,-2264,-2546,-2832,-3103,-3380,-3655,-3936,-4211,-4476,-4734,-4991,-5251,-5511,
-5759,-6013,-6258,-6492,-6727,-6960,-7202,-7419,-7641,-7840,-8042,-8239,-8425,-8611,-8781,-8934,-9090,-9238,-9381,-9520,
-9634,-9731,-9834,-9909,-9996,-10064,-10132,-10176,-10212,-10242,-10264,-10281,-10278,-10265,-10244,-10209,-10161,-10112,-10057,-9983,
-9902,-9802,-9693,-9583,-9452,-9313,-9163,-9003,-8825,-8642,-8447,-8261,-8055,-7834,-7611,-7389,-7153,-6926,-6687,-6444,
-6199,-5944,-5703,-5466,-5217,-4973,-4733,-4492,-4254,-4016,-3780,-3554,-3324,-3104,-2878,-2673,-2475,-2280,-2088,-1900,
-1721,-1546,-1383,-1233,-1094,-952,-819,-694,-582,-470,-369,-269,-192,-107,-29,43,104,168,224,282,
327,375,424,470,509,556,598,647,687,720,771,820,866,922,976,1040,1102,1169,1242,1328,
1403,1498,1594,1706,1809,1923,2052,2184,2316,2466,2610,2777,2939,3104,3279,3468,3658,3849,4050,4258,
4467,4669,4891,5116,5340,5560,5783,6007,6241,6465,6697,6926,7143,7361,7586,7794,8011,8204,8392,8582,
8762,8931,9099,9250,9399,9516,9630,9741,9842,9928,9993,10048,10100,10137,10169,10191,10194,10185,10155,10131,
10090,10048,9980,9915,9828,9728,9629,9520,9396,9267,9109,8942,8779,8604,8408,8208,8004,7783,7556,7332,
7101,6855,6600,6336,6076,5815,5549,5274,4996,4717,4436,4154,3877,3596,3313,3012,2718,2425,2129,1839,
1535,1241,935,621,319,23,-287,-602,-913,-1229,-1534,-1840,-2142,-2442,-2751,-3053,-3347,-3644,-3917,-4211,
-4487,-4757,-5029,-5288,-5537,-5789,-6022,-6267,-6515,-6738,-6970,-7192,-7404,-7624,-7824,-8036,-8229,-8420,-8599,-8781,
-8968,-9138,-9296,-9448,-9604,-9734,-9862,-9985,-10092,-10186,-10262,-10327,-10406,-10462,-10494,-10523,-10540,-10545,-10534,-10509,
-10484,-10446,-10376,-10310,-10246,-10167,-10082,-9974,-9864,-9741,-9607,-9467,-9330,-9169,-9009,-8823,-8648,-8462,-8267,-8059,
-7850,-7628,-7398,-7165,-6933,-6695,-6447,-6200,-5941,-5689,-5442,-5185,-4940,-4686,-4435,-4190,-3951,-3725,-3494,-3268,
-3049,-2843,-2644,-2440,-2250,-2072,-1888,-1722,-1555,-1407,-1252,-1111,-974,-843,-722,-603,-487,-387,-297,-196,
-100,-23,56,130,196,256,316,381,442,490,543,599,651,712,758,820,873,933,996,1066,
1132,1207,1283,1364,1464,1558,1645,1751,1860,1983,2103,2230,2372,2518,2654,2814,2973,3151,3323,3499,
3688,3881,4077,4285,4489,4708,4908,5129,5341,5572,5788,6010,6225,6445,6662,6873,7096,7308,7519,7726,
7929,8126,8333,8511,8695,8868,9035,9193,9346,9493,9639,9755,9862,9963,10053,10123,10197,10248,10286,10308,
10317,10325,10315,10277,10233,10183,10114,10036,9942,9859,9756,9636,9507,9370,9241,9095,8930,8770,8602,8420,
8232,8051,7856,7651,7424,7200,6963,6737,6485,6234,5971,5700,5424,5149,4879,4590,4291,3986,3682,3389,
3087,2783,2469,2163,1856,1557,1263,971,661,359,67,-229,-529,-821,-1114,-1409,-1701,-1996,-2274,-2556,
-2844,-3134,-3423,-3713,-3986,-4269,-4547,-4822,-5091,-5368,-5628,-5884,-6135,-6388,-6635,-6871,-7106,-7325,-7532,-7731,
-7929,-8125,-8310,-8478,-8636,-8793,-8942,-9088,-9220,-9351,-9468,-9572,-9674,-9768,-9864,-9946,-10015,-10076,-10138,-10184,
-10224,-10256,-10267,-10272,-10253,-10228,-10203,-10156,-10104,-10027,-9945,-9846,-9745,-9623,-9499,-9360,-9194,-9030,-8862,-8690,
-8508,-8318,-8126,-7915,-7714,-7501,-7292,-7071,-6852,-6622,-6393,-6176,-5945,-5719,-5483,-5255,-5019,-4782,-4557,-4334,
-4103,-3874,-3648,-3439,-3227,-3017,-2806,-2617,-2422,-2242,-2065,-1902,-1742,-1589,-1440,-1310,-1182,-1062,-946,-843,
-741,-644,-552,-480,-403,-323,-255,-184,-125,-53,-4,56,111,170,227,285,344,390,451,509,
564,635,698,757,831,910,994,1078,1159,1251,1348,1462,1565,1681,1801,1937,2056,2204,2357,2511,
2673,2836,3006,3186,3368,3563,3767,3973,4172,4382,4605,4830,5049,5277,5506,5736,5963,6195,6424,6658,
6877,7092,7315,7527,7726,7925,8114,8299,8475,8635,8803,8960,9107,9232,9356,9468,9581,9669,9766,9841,
9907,9962,10009,10055,10084,10094,10099,10079,10063,10032,9992,9924,9852,9761,9667,9561,9444,9318,9162,9001,
8830,8652,8464,8281,8078,7867,7652,7431,7207,6979,6741,6496,6251,6003,5751,5506,5245,4993,4720,4456,
4188,3921,3639,3345,3050,2754,2441,2155,1854,1551,1230,913,596,284,-31,-349,-661,-980,-1299,-1606,
-1897,-2192,-2490,-2790,-3072,-3357,-3624,-3904,-4165,-4440,-4700,-4968,-5202,-5449,-5692,-5938,-6190,-6432,-6666,-6911,
-7125,-7355,-7575,-7808,-8016,-8217,-8404,-8605,-8794,-8971,-9148,-9306,-9445,-9579,-9700,-9819,-9926,-10009,-10080,-10147,
-10201,-10254,-10290,-10314,-10331,-10322,-10319,-10301,-10286,-10249,-10210,-10154,-10090,-10024,-9954,-9868,-9770,-9656,-9533,-9393,
-9265,-9115,-8947,-8779,-8587,-8389,-8189,-7974,-7770,-7530,-7290,-7042,-6800,-6553,-6305,-6045,-5795,-5539,-5278,-5029,
-4781,-4537,-4293,-4045,-3819,-3595,-3367,-3146,-2930,-2724,-2516,-2317,-2130,-1952,-1769,-1588,-1426,-1268,-1112,-973,
-830,-699,-564,-446,-335,-239,-144,-52,37,111,181,244,302,355,404,455,505,541,585,633,
668,705,755,794,845,890,942,1001,1058,1118,1187,1250,1324,1408,1495,1586,1689,1792,1894,2021,
2149,2277,2411,2553,2700,2868,3025,3201,3379,3559,3742,3931,4137,4340,4546,4755,4957,5178,5399,5615,
5847,6071,6298,6523,6747,6980,7201,7431,7654,7870,8073,8279,8488,8693,8875,9044,9219,9373,9534,9663,
9786,9895,9988,10069,10143,10209,10263,10288,10307,10314,10322,10307,10297,10254,10203,10143,10083,10014,9942,9845,
9743,9636,9517,9392,9251,9104,8951,8759,8581,8402,8208,8005,7780,7542,7298,7048,6789,6541,6274,5995,
5701,5415,5139,4861,4566,4284,3978,3678,3384,3092,2809,2511,2208,1910,1622,1330,1038,743,444,138,
-184,-479,-775,-1072,-1395,-1708,-2022,-2324,-2632,-2937,-3241,-3555,-3868,-4158,-4446,-4722,-5009,-5286,-5554,-5819,
-6068,-6314,-6552,-6790,-7029,-7260,-7466,-7668,-7868,-8075,-8268,-8459,-8646,-8824,-8988,-9159,-9326,-9496,-9646,-9782,
-9909,-10040,-10155,-10266,-10369,-10465,-10536,-10591,-10640,-10695,-10720,-10730,-10717,-10696,-10670,-10624,-10579,-10519,-10439,-10342,
-10237,-10132,-10015,-9895,-9754,-9595,-9450,-9280,-9120,-8950,-8785,-8597,-8396,-8187,-7987,-7780,-7565,-7333,-7097,-6865,
-6627,-6379,-6148,-5890,-5633,-5368,-5112,-4859,-4612,-4361,-4119,-3867,-3628,-3399,-3179,-2968,-2763,-2547,-2357,-2168,
-1994,-1831,-1661,-1512,-1355,-1225,-1095,-972,-838,-727,-617,-514,-419,-331,-234,-163,-76,8,77,140,
211,268,347,395,441,507,555,604,660,711,779,828,893,950,1019,1087,1157,1230,1313,1398,
1483,1582,1693,1804,1925,2047,2183,2317,2468,2625,2787,2944,3113,3292,3486,3684,3884,4085,4294,4502,
4715,4926,5145,5366,5580,5802,6020,6244,6473,6680,6893,7103,7294,7507,7714,7907,8083,8264,8444,8619,
8791,8954,9112,9259,9386,9513,9637,9749,9845,9936,10005,10064,10129,10182,10199,10212,10194,10161,10143,10100,
10046,9967,9878,9778,9687,9562,9453,9321,9168,9014,8850,8700,8540,8361,8179,7990,7801,7607,7408,7203,
6983,6749,6522,6281,6046,5802,5543,5282,5003,4723,4450,4172,3877,3570,3251,2943,2649,2354,2043,1748,
1433,1127,814,523,225,-60,-372,-660,-946,-1235,-1503,-1776,-2054,-2336,-2625,-2888,-3152,-3416,-3690,-3969,
-4244,-4502,-4767,-5017,-5281,-5540,-5816,-6072,-6321,-6545,-6785,-7022,-7246,-7465,-7665,-7858,-8031,-8205,-8387,-8560,
-8704,-8837,-8957,-9074,-9191,-9300,-9396,-9492,-9565,-9626,-9696,-9776,-9829,-9869,-9895,-9920,-9931,-9949,-9947,-9940,
-9910,-9876,-9825,-9776,-9712,-9632,-9531,-9411,-9288,-9160,-9014,-8868,-8699,-8514,-8317,-8136,-7935,-7738,-7524,-7303,
-7081,-6847,-6627,-6411,-6192,-5964,-5730,-5505,-5281,-5048,-4838,-4611,-4393,-4161,-3945,-3732,-3530,-3316,-3101,-2892,
-2689,-2503,-2312,-2130,-1957,-1767,-1600,-1449,-1309,-1178,-1051,-912,-797,-693,-581,-491,-411,-331,-258,-180,
-125,-68,-11,38,93,141,194,243,288,330,386,440,494,538,594,655,719,778,857,924,
1005,1078,1156,1248,1344,1434,1535,1643,1760,1876,2008,2138,2284,2410,2558,2715,2877,3048,3223,3399,
3583,3780,3973,4191,4397,4604,4809,5027,5256,5485,5710,5937,6161,6390,6620,6837,7061,7278,7470,7672,
7857,8049,8234,8403,8563,8701,8841,8969,9103,9211,9311,9379,9452,9526,9593,9660,9709,9733,9747,9744,
9771,9767,9756,9720,9671,9622,9564,9497,9422,9329,9199,9065,8935,8799,8643,8479,8280,8082,7885,7680,
7480,7258,7030,6781,6523,6284,6049,5802,5541,5282,5013,4758,4509,4259,3996,3717,3430,3161,2884,2611,
2336,2040,1752,1450,1160,870,575,264,-55,-375,-687,-990,-1296,-1600,-1906,-2220,-2529,-2816,-3101,-3384,
-3679,-3951,-4229,-4492,-4732,-4988,-5228,-5468,-5730,-5958,-6176,-6394,-6625,-6854,-7075,-7302,-7508,-7700,-7896,-8094,
-8304,-8508,-8692,-8863,-9033,-9196,-9352,-9504,-9642,-9760,-9859,-9947,-10043,-10129,-10193,-10239,-10270,-10295,-10309,-10316,
-10315,-10292,-10246,-10190,-10137,-10098,-10037,-9969,-9874,-9782,-9664,-9561,-9448,-9323,-9186,-9037,-8866,-8711,-8542,-8369,
-8180,-7964,-7751,-7523,-7281,-7062,-6820,-6562,-6307,-6041,-5797,-5529,-5264,-5007,-4742,-4468,-4217,-3972,-3739,-3507,
-3268,-3042,-2826,-2610,-2413,-2224,-2023,-1836,-1653,-1480,-1328,-1166,-1021,-866,-738,-604,-477,-358,-244,-125,
-19,81,165,245,319,392,459,528,582,640,687,730,784,837,871,911,950,989,1047,1083,
1128,1184,1235,1286,1358,1434,1513,1584,1663,1745,1860,1949,2076,2201,2327,2450,2596,2746,2904,3055,
3226,3396,3574,3750,3940,4136,4345,4537,4737,4946,5162,5376,5581,5788,6008,6228,6447,6682,6908,7125,
7326,7551,7767,7981,8199,8400,8602,8787,8966,9156,9346,9509,9647,9784,9906,10027,10138,10225,10300,10363,
10396,10449,10470,10486,10485,10451,10410,10366,10303,10258,10197,10102,10007,9896,9795,9700,9571,9434,9290,9127,
8973,8808,8649,8472,8275,8053,7846,7627,7399,7167,6905,6643,6365,6086,5830,5551,5261,4943,4631,4334,
4034,3730,3440,3117,2809,2493,2195,1917,1629,1310,1002,697,406,118,-169,-482,-782,-1095,-1386,-1679,
-1967,-2269,-2578,-2898,-3202,-3513,-3802,-4087,-4381,-4693,-4998,-5274,-5533,-5798,-6078,-6343,-6615,-6851,-7091,-7318,
-7525,-7745,-7964,-8179,-8363,-8528,-8704,-8880,-9065,-9225,-9391,-9519,-9652,-9780,-9924,-10067,-10179,-10280,-10377,-10470,
-10560,-10652,-10724,-10773,-10801,-10806,-10818,-10831,-10816,-10786,-10738,-10684,-10619,-10538,-10452,-10345,-10220,-10084,-9926,-9799,
-9638,-9483,-9306,-9135,-8940,-8749,-8561,-8375,-8177,-7948,-7720,-7510,-7288,-7064,-6846,-6620,-6373,-6125,-5880,-5647,
-5393,-5140,-4888,-4636,-4393,-4162,-3915,-3691,-3467,-3220,-3012,-2807,-2610,-2425,-2230,-2054,-1888,-1727,-1595,-1454,
-1327,-1205,-1075,-968,-872,-770,-681,-589,-511,-429,-357,-285,-226,-154,-80,-8,55,106,166,237,
286,351,414,466,510,574,636,710,776,850,912,987,1065,1148,1238,1333,1429,1541,1660,1777,
1925,2045,2184,2333,2484,2643,2822,3005,3197,3372,3563,3773,4001,4210,4438,4659,4873,5097,5323,5555,
5792,6006,6242,6456,6681,6904,7113,7312,7507,7687,7883,8073,8267,8441,8590,8752,8905,9054,9198,9342,
9451,9559,9641,9749,9852,9931,9988,10039,10060,10093,10101,10109,10095,10057,9990,9938,9874,9806,9707,9600,
9454,9322,9179,9041,8893,8723,8542,8340,8149,7985,7805,7601,7387,7164,6943,6720,6505,6293,6050,5793,
5550,5310,5060,4806,4524,4237,3943,3649,3366,3081,2787,2459,2141,1834,1522,1229,935,612,1,-70,
-277,-473,-688,-858,-991,-1073,-1123,-1113,-1058,-958,-847,-720,-598,-467,-302,-77,193,496,802,1109,
1396,1669,1908,2124,2297,2442,2569,2715,2869,3042,3208,3355,3497,3634,3776,3944,4132,4337,4565,4830,
5139,5475,5814,6154,6469,6769,7046,7312,7572,7800,7988,8136,8247,8320,8362,8351,8301,8213,8092,7957,
7820,7676,7525,7368,7210,7052,6913,6782,6668,6539,6414,6296,6180,6068,5949,5811,5656,5493,5323,5139,
4945,4733,4498,4243,3989,3722,3450,3164,2864,2563,2264,1967,1671,1386,1097,817,538,281,31,-205,
-441,-678,-923,-1157,-1396,-1636,-1881,-2138,-2400,-2659,-2923,-3186,-3447,-3704,-3954,-4197,-4441,-4669,-4891,-5108,
-5329,-5552,-5773,-5996,-6203,-6401,-6585,-6769,-6939,-7100,-7248,-7407,-7581,-7752,-7925,-8111,-8295,-8475,-8640,-8793,
-8944,-9083,-9218,-9360,-9499,-9644,-9786,-9918,-10030,-10120,-10178,-10213,-10228,-10232,-10218,-10182,-10136,-10070,-9975,-9864,
-9716,-9535,-9318,-9068,-8796,-8498,-8178,-7838,-7481,-7103,-6703,-6279,-5826,-5352,-4852,-4333,-3808,-3274,-2745,-2212,
-1680,-1150,-631,-116,372,847,1289,1710,2100,2453,2770,3058,3311,3535,3715,3865,3983,4065,4108,4127,
4113,4073,4016,3937,3842,3734,3606,3473,3323,3161,2980,2789,2592,2390,2171,1963,1737,1510,1271,1022,
775,523,272,27,-217,-461,-699,-934,-1166,-1381,-1597,-1814,-2016,-2207,-2387,-2558,-2707,-2842,-2961,-3060,
-3145,-3218,-3276,-3329,-3365,-3382,-3385,-3377,-3337,-3286,-3211,-3121,-3011,-2879,-2725,-2554,-2362,-2142,-1900,-1638,
-1353,-1043,-713,-366,2,389,784,1201,1628,2060,2503,2949,3389,3831,4251,4682,5097,5504,5904,6286,
6654,7003,7332,7643,7928,8185,8425,8639,8835,9013,9166,9294,9400,9471,9519,9537,9522,9482,9416,9329,
9233,9118,8993,8860,8707,8527,8333,8123,7905,7670,7424,7183,6942,6704,6475,6247,6024,5793,5561,5329,
5101,4862,4634,4403,4181,3954,3730,3509,3294,3066,2839,2600,2365,2137,1903,1672,1449,1221,989,756,
528,290,44,-199,-438,-672,-899,-1119,-1331,-1538,-1751,-1959,-2166,-2379,-2599,-2818,-3034,-3245,-3457,-3658,
-3851,-4042,-4243,-4448,-4657,-4869,-5091,-5316,-5534,-5750,-5966,-6169,-6366,-6556,-6752,-6951,-7138,-7322,-7507,-7685,
-7851,-8012,-8160,-8298,-8416,-8521,-8630,-8735,-8827,-8916,-8992,-9063,-9114,-9149,-9172,-9182,-9169,-9141,-9093,-9042,
-8981,-8898,-8794,-8669,-8514,-8324,-8109,-7864,-7595,-7297,-6975,-6631,-6272,-5895,-5490,-5076,-4637,-4183,-3711,-3239,
-2762,-2286,-1813,-1348,-895,-453,-19,395,795,1178,1537,1874,2179,2459,2714,2940,3141,3317,3466,3596,
3690,3761,3806,3819,3806,3775,3712,3634,3533,3415,3282,3138,2976,2805,2622,2423,2227,2018,1806,1601,
1382,1165,946,727,507,287,67,-151,-363,-573,-771,-966,-1155,-1343,-1526,-1709,-1887,-2064,-2231,-2395,
-2545,-2687,-2810,-2918,-3004,-3080,-3133,-3181,-3199,-3203,-3187,-3149,-3081,-2997,-2879,-2733,-2563,-2366,-2151,-1903,
-1635,-1346,-1029,-688,-328,55,452,873,1316,1760,2228,2702,3185,3673,4159,4642,5121,5586,6041,6487,
6914,7318,7701,8067,8403,8717,8993,9242,9449,9624,9764,9882,9968,10029,10059,10084,10074,10044,9993,9929,
9839,9726,9601,9472,9339,9193,9043,8880,8714,8537,8346,8145,7931,7705,7474,7240,7003,6767,6521,6272,
6023,5760,5494,5216,4944,4663,4384,4111,3850,3591,3342,3092,2844,2597,2350,2098,1856,1610,1366,1127,
899,674,450,229,7,-226,-464,-702,-944,-1186,-1428,-1671,-1908,-2142,-2373,-2602,-2836,-3068,-3305,-3546,
-3776,-4012,-4235,-4454,-4671,-4883,-5085,-5295,-5497,-5702,-5915,-6123,-6328,-6525,-6718,-6902,-7091,-7269,-7450,-7626,
-7813,-7996,-8186,-8374,-8558,-8730,-8898,-9045,-9187,-9322,-9446,-9569,-9677,-9778,-9867,-9949,-10012,-10052,-10072,-10065,
-10042,-9990,-9925,-9841,-9735,-9607,-9457,-9280,-9083,-8852,-8590,-8310,-7988,-7648,-7289,-6904,-6500,-6074,-5617,-5147,
-4650,-4138,-3611,-3074,-2524,-1982,-1440,-912,-392,111,602,1068,1519,1935,2324,2677,2995,3275,3521,3728,
3909,4048,4162,4247,4299,4322,4325,4295,4251,4180,4091,3986,3867,3739,3590,3433,3260,3070,2868,2658,
2442,2220,1985,1751,1521,1285,1054,815,573,331,82,-166,-406,-639,-875,-1097,-1318,-1525,-1724,-1916,
-2110,-2288,-2474,-2643,-2802,-2955,-3098,-3233,-3356,-3466,-3577,-3668,-3750,-3819,-3877,-3915,-3934,-3923,-3901,-3852,
-3776,-3681,-3559,-3411,-3228,-3017,-2777,-2507,-2200,-1864,-1496,-1100,-679,-233,236,723,1232,1751,2283,2821,
3363,3898,4429,4955,5476,5987,6483,6970,7430,7874,8289,8672,9023,9341,9625,9875,10092,10277,10437,10567,
10664,10736,10761,10761,10724,10663,10580,10472,10342,10199,10050,9888,9711,9526,9335,9122,8902,8679,8450,8225,
7993,7761,7535,7310,7082,6853,6618,6375,6125,5867,5619,5377,5129,4882,4632,4386,4137,3879,3629,3367,
3103,2837,2579,2327,2076,1829,1590,1349,1113,867,632,394,154,-90,-330,-559,-787,-1009,-1230,-1449,
-1672,-1906,-2132,-2365,-2598,-2844,-3078,-3315,-3549,-3781,-4017,-4250,-4485,-4734,-4977,-5207,-5454,-5692,-5930,-6154,
-6373,-6589,-6797,-7000,-7205,-7406,-7612,-7807,-7993,-8176,-8351,-8517,-8675,-8823,-8973,-9112,-9250,-9389,-9529,-9656,
-9773,-9873,-9965,-10036,-10093,-10131,-10158,-10161,-10149,-10117,-10077,-10006,-9909,-9776,-9619,-9422,-9199,-8950,-8673,-8374,
-8045,-7692,-7317,-6921,-6499,-6053,-5586,-5100,-4604,-4092,-3580,-3069,-2554,-2041,-1533,-1034,-541,-60,403,851,
1273,1670,2037,2371,2677,2949,3194,3397,3577,3721,3836,3918,3963,3981,3974,3947,3892,3818,3724,3615,
3485,3341,3189,3020,2841,2661,2468,2275,2075,1873,1673,1464,1247,1028,810,589,364,135,-89,-313,
-531,-746,-955,-1163,-1372,-1579,-1772,-1962,-2144,-2312,-2471,-2622,-2755,-2877,-2981,-3072,-3151,-3215,-3264,-3297,
-3310,-3309,-3282,-3237,-3174,-3092,-2985,-2862,-2715,-2550,-2362,-2144,-1906,-1644,-1356,-1046,-714,-359,23,425,
843,1279,1737,2200,2667,3141,3613,4087,4553,5009,5458,5897,6318,6719,7101,7456,7789,8087,8360,8606,
8823,9016,9189,9337,9457,9551,9618,9667,9687,9678,9649,9599,9532,9451,9360,9257,9127,8990,8833,8659,
8476,8271,8059,7838,7607,7379,7150,6919,6687,6450,6212,5969,5720,5471,5226,4975,4728,4493,4257,4030,
3803,3576,3339,3104,2865,2624,2386,2151,1907,1666,1433,1190,954,711,463,214,-43,-295,-545,-794,
-1033,-1275,-1508,-1742,-1966,-2196,-2420,-2650,-2878,-3100,-3318,-3528,-3730,-3934,-4131,-4329,-4529,-4733,-4929,-5142,
-5350,-5563,-5778,-5986,-6187,-6391,-6588,-6788,-6989,-7183,-7383,-7581,-7776,-7967,-8147,-8315,-8476,-8621,-8758,-8889,
-9008,-9124,-9221,-9309,-9387,-9445,-9491,-9519,-9527,-9518,-9493,-9449,-9400,-9331,-9252,-9144,-9022,-8875,-8703,-8501,
-8280,-8030,-7755,-7454,-7140,-6805,-6447,-6066,-5659,-5238,-4788,-4325,-3850,-3370,-2877,-2388,-1904,-1427,-955,-498,
-59,368,775,1164,1526,1862,2173,2455,2708,2936,3131,3304,3446,3567,3659,3730,3765,3783,3779,3754,
3707,3639,3558,3457,3343,3211,3060,2895,2724,2539,2350,2152,1947,1738,1524,1311,1099,884,666,451,
239,29,-173,-375,-568,-759,-943,-1122,-1300,-1472,-1639,-1801,-1955,-2103,-2240,-2367,-2481,-2587,-2682,-2761,
-2831,-2884,-2920,-2939,-2942,-2921,-2877,-2811,-2720,-2601,-2464,-2293,-2099,-1877,-1630,-1365,-1069,-752,-416,-59,
323,719,1138,1567,2016,2472,2933,3400,3870,4335,4801,5252,5701,6135,6557,6964,7363,7735,8090,8414,
8712,8978,9217,9418,9597,9740,9854,9940,9998,10041,10055,10040,10000,9934,9854,9752,9634,9507,9372,9223,
9068,8909,8739,8555,8358,8155,7946,7728,7508,7291,7069,6841,6611,6374,6141,5895,5642,5384,5123,4861,
4599,4341,4083,3831,3578,3329,3073,2825,2567,2320,2071,1829,1578,1352,1122,901,676,447,227,3,
-224,-446,-672,-899,-1127,-1352,-1571,-1795,-2018,-2243,-2468,-2695,-2932,-3168,-3399,-3629,-3857,-4087,-4303,-4519,
-4738,-4958,-5180,-5393,-5610,-5822,-6030,-6232,-6426,-6620,-6809,-6987,-7163,-7350,-7525,-7704,-7886,-8063,-8230,-8391,
-8545,-8700,-8839,-8977,-9109,-9231,-9347,-9459,-9556,-9642,-9708,-9749,-9780,-9784,-9777,-9741,-9684,-9607,-9510,-9387,
-9241,-9064,-8866,-8627,-8360,-8072,-7756,-7414,-7053,-6668,-6262,-5837,-5389,-4924,-4442,-3939,-3430,-2909,-2387,-1866,
-1339,-824,-321,173,656,1123,1560,1975,2359,2720,3043,3334,3596,3821,4012,4167,4293,4393,4457,4492,
4503,4477,4441,4374,4292,4192,4078,3947,3808,3649,3482,3302,3113,2913,2709,2495,2280,2057,1833,1600,
1362,1119,875,623,373,123,-125,-372,-622,-860,-1091,-1320,-1548,-1769,-1986,-2194,-2399,-2584,-2763,-2929,
-3087,-3230,-3361,-3477,-3585,-3682,-3756,-3827,-3876,-3906,-3918,-3910,-3884,-3832,-3761,-3662,-3544,-3394,-3225,-3018,
-2787,-2527,-2232,-1911,-1559,-1184,-783,-353,94,559,1048,1551,2063,2585,3102,3625,4133,4634,5131,5615,
6077,6524,6954,7360,7739,8093,8417,8711,8972,9205,9417,9593,9745,9870,9964,10026,10065,10074,10061,10018,
9952,9857,9753,9632,9505,9351,9194,9015,8821,8617,8407,8183,7961,7729,7499,7267,7036,6810,6579,6340,
6102,5860,5619,5382,5139,4906,4661,4422,4194,3957,3718,3479,3229,2980,2730,2477,2232,1988,1736,1495,
1256,1019,778,537,298,56,-184,-419,-648,-873,-1097,-1313,-1530,-1739,-1953,-2159,-2370,-2582,-2792,-3009,
-3217,-3420,-3627,-3832,-4049,-4260,-4475,-4696,-4916,-5138,-5363,-5587,-5802,-6024,-6234,-6447,-6655,-6864,-7066,-7271,
-7467,-7663,-7847,-8030,-8203,-8364,-8514,-8659,-8795,-8931,-9061,-9190,-9307,-9410,-9503,-9595,-9662,-9726,-9762,-9796,
-9814,-9813,-9799,-9769,-9717,-9641,-9541,-9421,-9268,-9088,-8878,-8635,-8370,-8070,-7750,-7401,-7028,-6627,-6196,-5744,
-5272,-4782,-4278,-3761,-3247,-2727,-2205,-1683,-1174,-664,-169,311,770,1212,1625,2024,2385,2723,3029,3298,
3544,3754,3933,4083,4202,4289,4348,4381,4379,4359,4308,4242,4149,4040,3910,3768,3606,3429,3245,3058,
2864,2661,2459,2245,2038,1822,1609,1393,1172,953,739,525,313,104,-104,-308,-510,-718,-913,-1110,
-1303,-1491,-1677,-1851,-2013,-2169,-2307,-2443,-2565,-2678,-2770,-2853,-2910,-2957,-2977,-2986,-2971,-2932,-2877,-2799,
-2699,-2582,-2442,-2275,-2086,-1870,-1633,-1373,-1086,-777,-445,-96,282,674,1081,1512,1951,2404,2860,3327,
3790,4260,4719,5173,5621,6060,6475,6880,7262,7619,7944,8244,8522,8775,8990,9184,9353,9497,9610,9698,
9766,9808,9821,9811,9786,9741,9685,9606,9515,9417,9300,9169,9033,8876,8707,8519,8328,8123,7918,7704,
7489,7263,7029,6791,6549,6307,6057,5798,5547,5296,5040,4795,4546,4304,4059,3815,3568,3329,3087,2844,
2602,2362,2127,1896,1662,1434,1200,963,716,479,235,-12,-261,-501,-745,-977,-1225,-1462,-1698,-1937,
-2176,-2414,-2645,-2873,-3102,-3321,-3541,-3755,-3973,-4176,-4385,-4600,-4807,-5021,-5232,-5437,-5646,-5849,-6049,-6251,
-6457,-6655,-6854,-7058,-7260,-7458,-7655,-7853,-8038,-8213,-8388,-8551,-8712,-8865,-9003,-9133,-9258,-9373,-9470,-9553,
-9614,-9660,-9682,-9695,-9693,-9674,-9638,-9581,-9501,-9413,-9293,-9156,-8996,-8812,-8608,-8376,-8127,-7857,-7563,-7248,
-6906,-6549,-6169,-5770,-5350,-4910,-4462,-3999,-3528,-3056,-2583,-2110,-1643,-1184,-737,-300,120,515,885,1232,
1554,1847,2115,2351,2560,2738,2890,3017,3117,3195,3242,3268,3270,3254,3216,3162,3090,3003,2896,2773,
2632,2484,2323,2145,1967,1781,1577,1377,1174,966,752,531,310,93,-128,-343,-553,-761,-960,-1157,
-1348,-1532,-1714,-1889,-2053,-2212,-2360,-2500,-2634,-2752,-2859,-2964,-3051,-3125,-3187,-3239,-3280,-3302,-3302,-3289,
-3248,-3188,-3104,-3000,-2873,-2718,-2535,-2332,-2102,-1840,-1556,-1246,-912,-553,-176,226,645,1082,1528,1989,
2452,2921,3398,3873,4335,4803,5257,5705,6133,6553,6956,7343,7705,8045,8358,8650,8908,9137,9341,9517,
9667,9795,9882,9950,9986,9995,9982,9942,9884,9811,9712,9604,9482,9342,9195,9043,8869,8688,8498,8302,
8097,7891,7681,7464,7251,7032,6818,6595,6364,6129,5888,5647,5402,5156,4912,4665,4417,4163,3915,3664,
3410,3152,2900,2641,2385,2135,1885,1637,1399,1157,922,686,457,225,-12,-241,-465,-689,-905,-1124,
-1339,-1558,-1774,-1994,-2212,-2430,-2649,-2869,-3089,-3313,-3535,-3750,-3968,-4187,-4412,-4634,-4858,-5079,-5301,-5522,
-5739,-5952,-6163,-6364,-6563,-6757,-6948,-7145,-7333,-7513,-7694,-7863,-8028,-8188,-8344,-8494,-8632,-8760,-8891,-9012,
-9131,-9236,-9327,-9413,-9478,-9529,-9566,-9589,-9591,-9573,-9535,-9479,-9403,-9296,-9164,-9005,-8812,-8595,-8344,-8078,
-7777,-7449,-7094,-6721,-6320,-5901,-5452,-4998,-4516,-4022,-3515,-3005,-2489,-1974,-1455,-938,-444,57,534,1001,
1444,1866,2265,2637,2969,3281,3560,3806,4018,4208,4355,4478,4561,4621,4648,4650,4623,4582,4514,4425,
4320,4196,4059,3914,3751,3579,3393,3203,3004,2801,2592,2385,2169,1949,1726,1499,1268,1035,801,566,
329,94,-134,-359,-586,-813,-1035,-1253,-1467,-1672,-1866,-2059,-2238,-2410,-2569,-2713,-2842,-2966,-3070,-3168,
-3250,-3313,-3360,-3385,-3398,-3388,-3354,-3302,-3225,-3127,-3011,-2868,-2697,-2512,-2288,-2043,-1765,-1466,-1138,-784,
-399,3,430,877,1348,1825,2318,2819,3324,3830,4337,4836,5326,5806,6269,6711,7139,7536,7910,8264,
8580,8872,9131,9368,9575,9753,9898,10017,10112,10176,10212,10224,10212,10175,10117,10044,9953,9843,9716,9568,
9406,9232,9040,8841,8626,8403,8174,7933,7702,7460,7213,6963,6711,6456,6198,5937,5685,5430,5174,4919,
4675,4427,4185,3937,3689,3440,3192,2942,2696,2449,2200,1952,1701,1461,1220,971,725,475,224,-25,
-275,-519,-760,-1003,-1240,-1473,-1706,-1936,-2167,-2394,-2619,-2843,-3063,-3277,-3490,-3700,-3915,-4121,-4336,-4549,
-4767,-4981,-5198,-5420,-5641,-5859,-6072,-6288,-6502,-6717,-6931,-7142,-7355,-7563,-7770,-7973,-8172,-8357,-8536,-8707,
-8868,-9024,-9178,-9321,-9456,-9577,-9690,-9791,-9880,-9957,-10016,-10065,-10097,-10114,-10122,-10113,-10092,-10050,-9985,-9901,
-9800,-9669,-9512,-9335,-9123,-8894,-8640,-8353,-8044,-7707,-7336,-6944,-6521,-6074,-5617,-5133,-4634,-4127,-3609,-3094,
-2576,-2060,-1549,-1043,-545,-69,389,823,1235,1617,1977,2310,2611,2882,3125,3339,3523,3674,3797,3893,
3957,3996,4009,4001,3964,3911,3832,3739,3625,3488,3343,3185,3011,2830,2636,2435,2235,2029,1817,1603,
1389,1167,947,729,510,302,87,-117,-325,-525,-726,-918,-1111,-1295,-1485,-1658,-1827,-1991,-2140,-2293,
-2427,-2554,-2672,-2779,-2874,-2950,-3018,-3067,-3098,-3101,-3091,-3062,-3006,-2931,-2833,-2707,-2571,-2392,-2198,-1981,
-1735,-1464,-1175,-858,-520,-159,223,617,1034,1459,1903,2351,2807,3273,3742,4204,4669,5131,5586,6028,
6454,6865,7255,7620,7963,8279,8571,8834,9067,9274,9458,9612,9733,9823,9889,9930,9939,9937,9911,9870,
9804,9730,9639,9539,9422,9294,9150,8998,8831,8659,8480,8295,8099,7895,7684,7473,7250,7026,6797,6552,
6310,6058,5814,5567,5321,5075,4823,4573,4324,4076,3822,3578,3327,3080,2841,2603,2369,2135,1906,1675,
1441,1211,982,753,523,288,53,-172,-397,-627,-853,-1086,-1314,-1549,-1782,-2009,-2234,-2462,-2688,-2912,
-3133,-3355,-3572,-3788,-4005,-4224,-4437,-4648,-4855,-5060,-5267,-5463,-5661,-5858,-6052,-6238,-6433,-6628,-6823,-7014,
-7190,-7373,-7550,-7722,-7887,-8049,-8208,-8360,-8498,-8641,-8772,-8891,-8991,-9082,-9156,-9217,-9263,-9290,-9304,-9294,
-9270,-9225,-9163,-9084,-8971,-8838,-8678,-8501,-8292,-8069,-7824,-7558,-7267,-6951,-6623,-6271,-5895,-5497,-5084,-4659,
-4220,-3765,-3312,-2850,-2383,-1918,-1454,-1001,-558,-120,300,697,1080,1430,1757,2053,2321,2561,2771,2954,
3109,3239,3334,3404,3446,3465,3462,3440,3403,3338,3259,3165,3054,2930,2791,2643,2480,2310,2134,1949,
1758,1557,1356,1144,931,718,501,281,59,-160,-376,-588,-798,-1003,-1202,-1394,-1586,-1769,-1942,-2102,
-2261,-2406,-2546,-2670,-2782,-2881,-2974,-3044,-3112,-3159,-3195,-3211,-3213,-3198,-3164,-3102,-3027,-2928,-2805,-2662,
-2492,-2300,-2078,-1831,-1559,-1264,-939,-596,-227,162,575,1007,1450,1905,2374,2844,3316,3785,4257,4719,
5179,5623,6066,6482,6885,7265,7624,7965,8278,8559,8816,9052,9256,9442,9597,9726,9828,9895,9947,9970,
9965,9933,9884,9813,9729,9624,9511,9381,9235,9073,8896,8715,8520,8315,8103,7890,7674,7452,7230,7008,
6783,6553,6318,6086,5847,5606,5367,5129,4886,4644,4406,4168,3925,3681,3434,3181,2926,2682,2427,2182,
1936,1689,1446,1202,960,720,478,236,-1,-235,-462,-695,-917,-1133,-1353,-1574,-1783,-1999,-2217,-2431,
-2648,-2859,-3070,-3281,-3489,-3700,-3915,-4133,-4345,-4561,-4778,-5000,-5220,-5445,-5662,-5878,-6090,-6302,-6507,-6721,
-6924,-7123,-7313,-7506,-7692,-7871,-8045,-8215,-8366,-8511,-8658,-8790,-8924,-9042,-9153,-9251,-9342,-9418,-9486,-9536,
-9574,-9594,-9598,-9583,-9560,-9512,-9443,-9350,-9234,-9089,-8921,-8726,-8501,-8241,-7962,-7654,-7323,-6966,-6581,-6171,
-5746,-5291,-4821,-4338,-3842,-3334,-2823,-2308,-1800,-1294,-795,-311,172,633,1072,1501,1899,2272,2620,2935,
3224,3474,3701,3900,4066,4201,4306,4383,4430,4451,4442,4415,4359,4282,4192,4076,3945,3804,3642,3466,
3290,3093,2905,2699,2495,2279,2060,1838,1624,1396,1170,944,716,490,261,43,-179,-403,-620,-838,
-1045,-1249,-1455,-1652,-1844,-2025,-2205,-2367,-2524,-2669,-2806,-2929,-3038,-3127,-3210,-3266,-3312,-3338,-3344,-3328,
-3292,-3233,-3156,-3054,-2929,-2776,-2602,-2403,-2175,-1922,-1648,-1344,-1014,-657,-285,115,533,982,1441,1914,
2403,2896,3398,3895,4394,4893,5381,5857,6325,6774,7207,7608,7983,8336,8661,8949,9213,9444,9649,9818,
9965,10079,10172,10231,10264,10268,10254,10219,10162,10093,10006,9892,9776,9637,9490,9319,9139,8944,8744,8529,
8309,8087,7856,7618,7368,7115,6863,6605,6344,6079,5812,5550,5285,5025,4768,4512,4249,3993,3738,3486,
3228,2972,2723,2472,2220,1975,1732,1489,1238,991,744,497,244,2,-244,-490,-739,-982,-1222,-1460,
-1699,-1939,-2172,-2409,-2639,-2869,-3092,-3311,-3534,-3750,-3962,-4175,-4382,-4602,-4813,-5028,-5243,-5452,-5657,-5870,
-6075,-6285,-6492,-6696,-6901,-7110,-7313,-7519,-7720,-7923,-8115,-8302,-8482,-8663,-8830,-8994,-9149,-9295,-9433,-9565,
-9678,-9782,-9879,-9948,-10008,-10052,-10092,-10108,-10107,-10092,-10053,-10003,-9935,-9846,-9729,-9593,-9436,-9248,-9044,-8808,
-8560,-8276,-7971,-7639,-7277,-6899,-6496,-6060,-5612,-5137,-4657,-4157,-3654,-3142,-2633,-2119,-1609,-1110,-620,-141,
316,757,1165,1553,1916,2248,2550,2817,3054,3265,3445,3596,3722,3814,3885,3924,3943,3937,3910,3862,
3788,3695,3592,3464,3324,3173,3007,2831,2643,2446,2245,2032,1816,1596,1377,1149,925,698,481,258,
36,-182,-387,-601,-800,-1002,-1198,-1383,-1568,-1741,-1902,-2063,-2215,-2358,-2492,-2618,-2731,-2833,-2924,-3007,
-3068,-3112,-3142,-3154,-3150,-3126,-3079,-3008,-2915,-2797,-2659,-2492,-2302,-2085,-1841,-1574,-1284,-967,-630,-269,
108,508,925,1357,1801,2254,2716,3182,3648,4114,4578,5041,5493,5935,6365,6774,7171,7544,7894,8218,
8516,8789,9034,9252,9446,9605,9735,9836,9912,9959,9987,9981,9961,9916,9849,9777,9685,9573,9455,9317,
9173,9011,8842,8667,8484,8291,8098,7900,7695,7485,7269,7046,6820,6584,6348,6114,5873,5631,5386,5140,
4889,4644,4394,4143,3888,3634,3380,3130,2885,2640,2395,2156,1913,1680,1441,1204,967,736,498,270,
44,-180,-411,-636,-862,-1086,-1312,-1540,-1767,-1990,-2216,-2446,-2668,-2886,-3108,-3331,-3553,-3778,-3998,-4220,
-4438,-4654,-4872,-5086,-5297,-5502,-5699,-5905,-6102,-6301,-6493,-6685,-6869,-7051,-7230,-7408,-7581,-7746,-7900,-8054,
-8201,-8348,-8489,-8617,-8741,-8852,-8956,-9044,-9123,-9188,-9234,-9267,-9286,-9285,-9267,-9232,-9177,-9091,-8983,-8857,
-8708,-8533,-8328,-8105,-7860,-7581,-7288,-6973,-6640,-6281,-5903,-5502,-5089,-4657,-4222,-3768,-3312,-2849,-2381,-1921,
-1461,-1005,-556,-122,295,697,1080,1443,1775,2087,2367,2622,2842,3036,3203,3336,3444,3523,3579,3606,
3612,3587,3550,3490,3406,3315,3204,3080,2938,2784,2625,2459,2278,2094,1902,1707,1504,1294,1085,871,
659,439,221,2,-213,-428,-640,-851,-1057,-1264,-1458,-1648,-1830,-2007,-2175,-2330,-2478,-2615,-2736,-2848,
-2953,-3044,-3119,-3175,-3219,-3243,-3251,-3237,-3210,-3158,-3090,-2999,-2887,-2752,-2599,-2414,-2206,-1977,-1715,-1437,
-1128,-798,-447,-72,323,742,1170,1618,2077,2545,3013,3487,3959,4432,4888,5338,5778,6206,6613,7003,
7371,7718,8037,8328,8597,8846,9060,9245,9412,9550,9659,9740,9800,9835,9847,9830,9799,9748,9680,9590,
9484,9366,9228,9078,8918,8745,8564,8359,8154,7946,7732,7511,7289,7060,6827,6590,6350,6118,5877,5632,
5391,5151,4913,4672,4435,4194,3957,3711,3468,3229,2989,2745,2498,2255,2016,1773,1532,1292,1049,805,
561,319,83,-159,-395,-627,-860,-1089,-1322,-1544,-1765,-1989,-2212,-2425,-2641,-2857,-3068,-3279,-3493,-3697,
-3914,-4120,-4331,-4542,-4756,-4974,-5185,-5395,-5610,-5819,-6029,-6240,-6451,-6658,-6859,-7059,-7261,-7456,-7643,-7825,
-8001,-8173,-8334,-8489,-8635,-8775,-8904,-9026,-9136,-9242,-9328,-9404,-9465,-9516,-9547,-9571,-9575,-9572,-9542,-9493,
-9426,-9344,-9236,-9106,-8947,-8768,-8558,-8324,-8059,-7775,-7461,-7122,-6752,-6362,-5947,-5510,-5057,-4585,-4096,-3595,
-3094,-2582,-2069,-1564,-1056,-564,-87,388,833,1262,1662,2043,2398,2725,3019,3287,3523,3732,3905,4053,
4169,4259,4319,4357,4365,4352,4319,4255,4177,4080,3961,3830,3680,3514,3347,3160,2967,2773,2566,2359,
2147,1924,1704,1480,1253,1033,809,585,370,154,-58,-275,-483,-689,-890,-1089,-1279,-1471,-1651,-1826,
-1995,-2155,-2305,-2451,-2582,-2706,-2814,-2913,-2995,-3065,-3112,-3142,-3151,-3141,-3111,-3061,-2991,-2892,-2768,-2624,
-2450,-2254,-2030,-1776,-1503,-1201,-870,-524,-149,248,660,1094,1544,2009,2490,2974,3467,3966,4459,4953,
5437,5910,6375,6823,7248,7660,8042,8398,8731,9029,9302,9547,9756,9937,10089,10211,10302,10362,10399,10409,
10403,10371,10316,10244,10157,10052,9932,9800,9653,9493,9318,9133,8945,8739,8528,8309,8079,7852,7614,7371,
7124,6870,6608,6348,6089,5824,5565,5296,5032,4766,4499,4239,3975,3712,3450,3191,2932,2681,2428,2179,
1933,1679,1433,1189,941,699,451,207,-32,-276,-515,-757,-998,-1240,-1484,-1722,-1961,-2194,-2429,-2669,
-2898,-3127,-3358,-3581,-3804,-4025,-4252,-4469,-4692,-4908,-5124,-5344,-5555,-5768,-5980,-6184,-6390,-6594,-6802,-7008,
-7213,-7411,-7607,-7799,-7987,-8178,-8361,-8540,-8713,-8877,-9039,-9192,-9337,-9473,-9599,-9710,-9812,-9893,-9965,-10026,
-10068,-10091,-10100,-10096,-10072,-10019,-9957,-9866,-9752,-9615,-9459,-9280,-9075,-8844,-8589,-8314,-8010,-7684,-7333,-6958,
-6561,-6141,-5702,-5251,-4783,-4295,-3803,-3302,-2796,-2292,-1785,-1292,-806,-331,122,561,970,1359,1723,2052,
2357,2634,2870,3082,3264,3415,3535,3629,3694,3739,3756,3757,3722,3676,3609,3527,3420,3303,3172,3024,
2867,2695,2519,2336,2138,1940,1729,1522,1308,1085,863,638,418,197,-18,-231,-446,-661,-868,-1064,
-1264,-1450,-1630,-1807,-1971,-2129,-2278,-2413,-2540,-2662,-2770,-2872,-2953,-3023,-3084,-3124,-3149,-3158,-3144,-3115,
-3065,-2997,-2903,-2788,-2648,-2484,-2297,-2082,-1839,-1576,-1285,-969,-626,-266,114,517,932,1369,1811,2265,
2730,3200,3666,4141,4608,5066,5516,5951,6382,6788,7178,7551,7895,8218,8519,8794,9044,9264,9450,9620,
9752,9862,9936,9992,10017,10022,10003,9967,9910,9834,9737,9619,9498,9360,9202,9042,8870,8690,8496,8301,
8101,7900,7686,7468,7248,7023,6796,6563,6334,6098,5860,5619,5383,5145,4899,4653,4402,4155,3905,3654,
3412,3161,2913,2659,2415,2171,1930,1685,1444,1202,959,724,488,255,26,-206,-433,-659,-883,-1110,
-1331,-1555,-1776,-2001,-2213,-2429,-2646,-2863,-3085,-3304,-3523,-3743,-3961,-4180,-4401,-4619,-4839,-5055,-5265,-5477,
-5689,-5896,-6098,-6301,-6504,-6698,-6888,-7077,-7261,-7432,-7602,-7763,-7924,-8082,-8228,-8371,-8507,-8632,-8746,-8859,
-8957,-9048,-9121,-9187,-9233,-9269,-9292,-9302,-9284,-9253,-9201,-9125,-9034,-8911,-8767,-8601,-8408,-8196,-7957,-7692,
-7404,-7091,-6753,-6392,-6012,-5617,-5200,-4771,-4328,-3879,-3417,-2952,-2482,-2018,-1553,-1094,-645,-206,221,627,
1012,1374,1717,2035,2327,2593,2829,3040,3216,3362,3483,3576,3646,3685,3700,3691,3662,3612,3536,3450,
3343,3220,3082,2934,2773,2608,2429,2241,2056,1859,1654,1457,1243,1038,816,604,386,180,-38,-249,
-463,-666,-871,-1075,-1271,-1465,-1654,-1834,-2004,-2167,-2320,-2466,-2601,-2723,-2832,-2931,-3011,-3082,-3131,-3163,
-3186,-3180,-3158,-3119,-3051,-2965,-2860,-2729,-2579,-2402,-2202,-1981,-1730,-1455,-1158,-841,-501,-135,251,653,
1077,1513,1962,2415,2879,3344,3814,4276,4739,5191,5637,6062,6470,6865,7234,7585,7905,8207,8481,8730,
8944,9135,9306,9440,9552,9636,9696,9730,9737,9728,9705,9659,9594,9512,9412,9301,9172,9027,8875,8703,
8522,8340,8138,7938,7723,7506,7278,7052,6815,6580,6337,6093,5845,5597,5354,5110,4863,4622,4375,4128,
3885,3637,3393,3151,2907,2665,2425,2183,1949,1709,1467,1226,986,748,510,273,35,-208,-445,-679,
-917,-1146,-1375,-1608,-1837,-2067,-2293,-2513,-2731,-2949,-3164,-3382,-3594,-3809,-4017,-4229,-4441,-4657,-4863,-5071,
-5282,-5490,-5696,-5906,-6111,-6317,-6520,-6722,-6920,-7123,-7322,-7515,-7701,-7883,-8060,-8235,-8399,-8561,-8716,-8857,
-8995,-9121,-9241,-9343,-9437,-9512,-9580,-9632,-9668,-9694,-9704,-9694,-9668,-9620,-9561,-9477,-9372,-9239,-9090,-8913,
-8711,-8486,-8245,-7970,-7670,-7342,-6994,-6615,-6216,-5797,-5352,-4897,-4423,-3936,-3442,-2937,-2434,-1924,-1421,-929,
-444,26,487,917,1336,1723,2084,2416,2721,2999,3249,3460,3650,3811,3939,4038,4111,4158,4184,4177,
4155,4114,4050,3964,3860,3743,3611,3463,3303,3131,2946,2759,2558,2353,2149,1925,1707,1491,1268,1043,
818,592,374,155,-57,-266,-474,-679,-883,-1078,-1267,-1448,-1629,-1799,-1965,-2121,-2265,-2403,-2533,-2643,
-2754,-2848,-2927,-2993,-3038,-3072,-3088,-3081,-3058,-3008,-2934,-2841,-2721,-2582,-2413,-2220,-1999,-1754,-1483,-1180,
-860,-513,-143,246,661,1090,1542,1999,2478,2955,3439,3925,4418,4903,5385,5860,6317,6759,7187,7592,
7975,8330,8668,8972,9250,9499,9719,9911,10074,10194,10296,10368,10411,10426,10419,10389,10343,10274,10190,10090,
9968,9834,9682,9523,9356,9172,8982,8786,8575,8366,8148,7926,7696,7461,7215,6972,6720,6470,6213,5958,
5699,5442,5175,4920,4656,4392,4126,3862,3603,3342,3086,2831,2578,2322,2073,1823,1576,1329,1083,840,
597,352,113,-123,-359,-592,-831,-1069,-1301,-1535,-1767,-2002,-2236,-2468,-2690,-2918,-3141,-3368,-3596,-3824,
-4047,-4272,-4497,-4717,-4938,-5162,-5378,-5591,-5806,-6015,-6221,-6434,-6639,-6846,-7047,-7241,-7437,-7630,-7817,-8004,
-8179,-8352,-8526,-8691,-8849,-9005,-9149,-9284,-9407,-9526,-9630,-9723,-9802,-9862,-9914,-9949,-9970,-9969,-9951,-9913,
-9852,-9768,-9664,-9538,-9385,-9203,-9002,-8777,-8531,-8257,-7959,-7635,-7288,-6912,-6519,-6106,-5674,-5230,-4765,-4291,
-3807,-3318,-2823,-2325,-1835,-1344,-864,-397,54,487,901,1288,1651,1980,2287,2567,2811,3022,3215,3366,
3491,3588,3655,3699,3716,3709,3678,3630,3564,3473,3367,3247,3116,2970,2809,2645,2469,2278,2088,1889,
1687,1475,1267,1050,830,607,384,168,-50,-274,-491,-698,-912,-1112,-1319,-1509,-1696,-1876,-2049,-2213,
-2369,-2511,-2649,-2775,-2885,-2983,-3071,-3144,-3197,-3241,-3270,-3282,-3272,-3244,-3200,-3129,-3040,-2928,-2793,-2632,
-2452,-2239,-2010,-1749,-1470,-1162,-830,-480,-102,293,706,1134,1576,2033,2491,2954,3425,3894,4359,4821,
5273,5713,6143,6547,6938,7308,7660,7980,8286,8563,8815,9033,9228,9396,9542,9651,9739,9796,9828,9840,
9829,9796,9749,9676,9589,9485,9365,9229,9078,8919,8749,8563,8377,8185,7980,7774,7557,7336,7116,6892,
6658,6427,6187,5957,5716,5480,5245,5007,4764,4523,4278,4038,3793,3547,3305,3062,2813,2573,2333,2092,
1850,1600,1364,1121,882,642,409,175,-59,-292,-519,-745,-972,-1196,-1422,-1640,-1860,-2080,-2296,-2503,
-2719,-2933,-3140,-3351,-3562,-3779,-3990,-4202,-4418,-4635,-4840,-5051,-5256,-5469,-5675,-5879,-6081,-6286,-6483,-6676,
-6871,-7059,-7243,-7414,-7584,-7753,-7910,-8066,-8211,-8351,-8481,-8602,-8717,-8825,-8915,-8996,-9060,-9120,-9167,-9201,
-9213,-9216,-9201,-9165,-9116,-9043,-8956,-8837,-8696,-8529,-8348,-8138,-7906,-7646,-7369,-7059,-6729,-6373,-6003,-5599,
-5186,-4752,-4313,-3857,-3393,-2926,-2457,-1984,-1515,-1052,-600,-159,273,684,1076,1450,1797,2120,2414,2682,
2930,3144,3324,3485,3617,3717,3799,3846,3870,3872,3850,3807,3744,3659,3565,3451,3320,3177,3022,2851,
2681,2495,2303,2110,1903,1698,1491,1278,1071,854,646,430,217,5,-200,-406,-609,-807,-1001,-1190,
-1375,-1548,-1717,-1882,-2036,-2186,-2318,-2446,-2562,-2663,-2745,-2825,-2881,-2921,-2947,-2950,-2941,-2909,-2852,-2775,
-2679,-2552,-2410,-2239,-2048,-1835,-1597,-1325,-1039,-725,-395,-35,336,736,1152,1581,2017,2470,2926,3390,
3847,4306,4769,5221,5661,6088,6504,6900,7279,7628,7961,8269,8547,8797,9024,9221,9395,9533,9651,9735,
9797,9834,9850,9837,9811,9762,9696,9614,9520,9403,9278,9135,8977,8812,8637,8451,8258,8050,7839,7624,
7403,7175,6941,6700,6459,6210,5966,5717,5468,5215,4962,4711,4461,4210,3958,3710,3456,3204,2959,2710,
2469,2228,1984,1743,1501,1261,1026,787,551,310,71,-162,-396,-624,-860,-1095,-1331,-1559,-1789,-2012,
-2241,-2465,-2690,-2914,-3132,-3351,-3567,-3779,-3993,-4209,-4424,-4636,-4847,-5055,-5262,-5474,-5683,-5884,-6086,-6286,
-6489,-6688,-6883,-7080,-7268,-7453,-7641,-7823,-8004,-8173,-8338,-8500,-8649,-8803,-8937,-9071,-9191,-9299,-9397,-9481,
-9554,-9612,-9657,-9690,-9699,-9697,-9678,-9641,-9582,-9502,-9398,-9276,-9134,-8967,-8774,-8554,-8315,-8048,-7761,-7450,
-7114,-6751,-6366,-5958,-5536,-5088,-4632,-4157,-3677,-3183,-2690,-2187,-1699,-1206,-721,-248,208,643,1065,1461,
1825,2173,2486,2771,3022,3245,3444,3608,3737,3851,3931,3985,4015,4018,3996,3955,3894,3819,3721,3609,
3473,3332,3175,3012,2835,2649,2457,2252,2043,1826,1615,1393,1171,943,719,496,277,52,-169,-388,
-601,-813,-1012,-1213,-1408,-1594,-1775,-1946,-2111,-2269,-2413,-2550,-2678,-2795,-2899,-2993,-3068,-3134,-3182,-3212,
-3225,-3224,-3201,-3152,-3088,-3000,-2889,-2749,-2585,-2397,-2186,-1947,-1677,-1386,-1072,-725,-362,22,433,855,
1301,1759,2230,2714,3194,3681,4165,4648,5125,5595,6051,6498,6922,7329,7712,8070,8411,8721,9002,9257,
9483,9681,9846,9986,10095,10179,10227,10257,10261,10240,10202,10139,10060,9965,9847,9720,9580,9425,9264,9081,
8891,8700,8498,8286,8075,7852,7626,7395,7161,6924,6685,6436,6191,5941,5693,5442,5184,4932,4680,4417,
4159,3908,3653,3400,3140,2886,2634,2382,2134,1886,1637,1389,1142,899,659,419,178,-57,-290,-521,
-757,-988,-1216,-1447,-1677,-1899,-2124,-2346,-2572,-2794,-3016,-3240,-3463,-3680,-3902,-4122,-4345,-4565,-4781,-5001,
-5216,-5432,-5646,-5860,-6068,-6281,-6488,-6688,-6890,-7087,-7282,-7475,-7655,-7836,-8015,-8182,-8356,-8517,-8669,-8818,
-8951,-9087,-9211,-9325,-9424,-9516,-9591,-9661,-9711,-9752,-9773,-9774,-9759,-9726,-9670,-9596,-9500,-9379,-9239,-9065,
-8871,-8655,-8413,-8148,-7851,-7531,-7195,-6826,-6442,-6038,-5612,-5169,-4712,-4242,-3769,-3288,-2794,-2309,-1824,-1341,
-870,-412,35,460,873,1259,1619,1959,2264,2548,2795,3012,3201,3360,3497,3601,3674,3721,3744,3738,
3713,3668,3593,3509,3408,3287,3154,3007,2852,2687,2504,2323,2132,1936,1729,1520,1306,1095,880,665,
447,230,18,-199,-416,-623,-830,-1035,-1233,-1424,-1611,-1791,-1965,-2128,-2283,-2433,-2573,-2697,-2808,-2911,
-3001,-3076,-3134,-3179,-3201,-3210,-3199,-3173,-3127,-3054,-2959,-2850,-2713,-2548,-2360,-2150,-1915,-1655,-1370,-1065,
-734,-382,-6,386,799,1222,1663,2116,2576,3043,3509,3982,4444,4903,5355,5796,6222,6634,7024,7395,
7745,8065,8364,8641,8884,9107,9299,9466,9601,9707,9793,9851,9886,9899,9886,9854,9807,9736,9648,9549,
9430,9297,9150,8994,8824,8645,8453,8257,8052,7839,7620,7399,7175,6939,6705,6465,6226,5990,5748,5501,
5257,5010,4760,4519,4275,4027,3780,3533,3289,3041,2794,2548,2305,2058,1813,1568,1325,1081,839,594,
355,116,-125,-358,-594,-832,-1067,-1298,-1527,-1753,-1983,-2202,-2426,-2649,-2869,-3086,-3297,-3512,-3731,-3946,
-4161,-4372,-4586,-4794,-5009,-5218,-5435,-5639,-5845,-6054,-6264,-6468,-6667,-6862,-7057,-7247,-7432,-7616,-7795,-7967,
-8132,-8289,-8441,-8584,-8719,-8848,-8963,-9075,-9171,-9252,-9325,-9389,-9431,-9467,-9482,-9484,-9471,-9435,-9386,-9316,
-9218,-9106,-8971,-8816,-8637,-8429,-8201,-7946,-7667,-7366,-7040,-6692,-6323,-5931,-5521,-5098,-4653,-4205,-3735,-3263,
-2789,-2313,-1836,-1372,-909,-462,-24,394,793,1172,1527,1863,2165,2445,2697,2919,3109,3274,3413,3521,
3606,3671,3705,3721,3708,3669,3620,3548,3457,3351,3226,3093,2939,2786,2613,2438,2247,2056,1858,1657,
1444,1236,1023,810,595,383,172,-36,-241,-448,-651,-846,-1043,-1227,-1406,-1582,-1751,-1916,-2067,-2208,
-2345,-2467,-2578,-2683,-2771,-2849,-2909,-2949,-2975,-2989,-2974,-2946,-2892,-2826,-2737,-2618,-2478,-2318,-2123,-1915,
-1674,-1413,-1131,-817,-486,-137,237,633,1045,1471,1910,2358,2820,3282,3751,4211,4670,5127,5571,6003,
6432,6836,7215,7589,7933,8249,8540,8807,9049,9259,9440,9597,9724,9826,9897,9945,9972,9971,9953,9917,
9860,9783,9687,9575,9455,9318,9165,9009,8838,8660,8467,8267,8068,7856,7637,7412,7186,6953,6717,6479,
6235,5989,5740,5492,5242,4992,4742,4481,4229,3978,3724,3471,3224,2976,2730,2478,2231,1986,1744,1499,
1258,1019,780,537,300,67,-169,0,-69,-239,-439,-698,-938,-1134,-1260,-1339,-1349,-1299,-1187,-1028,
-855,-682,-514,-342,-142,117,432,785,1150,1506,1838,2139,2413,2664,2876,3040,3201,3375,3550,3739,
3925,4107,4282,4458,4663,4901,5171,5462,5775,6116,6488,6860,7220,7571,7890,8162,8388,8587,8759,8863,
8894,8854,8767,8639,8481,8283,8056,7795,7518,7230,6945,6665,6398,6127,5858,5601,5370,5160,4953,4737,
4514,4289,4078,3867,3667,3464,3261,3052,2843,2641,2442,2230,2010,1778,1540,1312,1101,901,702,504,
320,150,-17,-179,-347,-513,-679,-841,-1005,-1158,-1311,-1458,-1604,-1749,-1884,-2001,-2113,-2229,-2363,-2515,
-2668,-2821,-2983,-3164,-3359,-3557,-3756,-3941,-4128,-4331,-4550,-4787,-5035,-5282,-5514,-5749,-5981,-6211,-6446,-6671,
-6888,-7104,-7314,-7539,-7768,-7991,-8190,-8357,-8514,-8669,-8827,-8996,-9143,-9280,-9409,-9545,-9692,-9840,-9967,-10066,
-10134,-10183,-10225,-10252,-10254,-10214,-10105,-9937,-9706,-9407,-9028,-8564,-8003,-7361,-6645,-5867,-5029,-4130,-3173,-2179,
-1162,-149,845,1811,2721,3569,4335,5028,5655,6208,6680,7073,7382,7633,7823,7958,8035,8049,8008,7916,
7796,7651,7464,7244,6979,6683,6362,6041,5704,5356,4988,4609,4234,3873,3522,3181,2834,2488,2152,1838,
1547,1277,1011,751,502,265,50,-148,-343,-538,-743,-942,-1124,-1297,-1475,-1665,-1876,-2100,-2329,-2555,
-2785,-3029,-3289,-3561,-3820,-4065,-4297,-4530,-4760,-4998,-5224,-5432,-5612,-5771,-5917,-6065,-6191,-6293,-6357,-6398,
-6423,-6437,-6431,-6399,-6324,-6215,-6074,-5912,-5725,-5504,-5230,-4913,-4547,-4126,-3662,-3134,-2541,-1883,-1164,-397,
413,1255,2114,2978,3828,4655,5452,6211,6919,7559,8117,8591,8991,9319,9580,9767,9876,9921,9922,9894,
9845,9762,9647,9500,9335,9166,8999,8828,8642,8432,8206,7982,7755,7524,7276,7008,6721,6425,6141,5861,
5579,5282,4978,4669,4376,4094,3820,3547,3281,3019,2778,2563,2373,2197,2020,1851,1691,1542,1411,1282,
1154,1024,889,769,662,555,441,314,170,16,-142,-302,-469,-653,-852,-1050,-1240,-1422,-1606,-1799,
-1995,-2195,-2394,-2580,-2754,-2925,-3107,-3284,-3452,-3606,-3750,-3892,-4041,-4203,-4365,-4524,-4673,-4821,-4981,-5154,
-5340,-5529,-5718,-5914,-6122,-6350,-6597,-6853,-7100,-7336,-7567,-7805,-8047,-8283,-8499,-8693,-8867,-9029,-9187,-9328,
-9438,-9506,-9529,-9529,-9499,-9450,-9364,-9237,-9062,-8842,-8600,-8326,-8009,-7644,-7213,-6731,-6199,-5626,-5004,-4333,
-3607,-2832,-2022,-1186,-331,533,1399,2242,3054,3814,4524,5168,5734,6221,6620,6938,7181,7353,7447,7473,
7428,7333,7205,7056,6882,6684,6458,6220,5982,5754,5533,5308,5074,4835,4596,4371,4154,3927,3688,3426,
3157,2891,2627,2362,2081,1786,1484,1185,890,601,305,0,-315,-630,-926,-1199,-1465,-1724,-1983,-2232,
-2457,-2663,-2852,-3042,-3236,-3436,-3625,-3801,-3962,-4125,-4298,-4480,-4665,-4840,-5003,-5170,-5347,-5539,-5729,-5903,
-6055,-6192,-6311,-6426,-6516,-6572,-6578,-6534,-6436,-6293,-6088,-5817,-5469,-5046,-4548,-3987,-3369,-2694,-1966,-1187,
-368,482,1354,2237,3117,3979,4812,5613,6378,7106,7787,8409,8970,9458,9889,10265,10578,10814,10973,11060,
11092,11081,11023,10925,10765,10557,10306,10033,9750,9446,9117,8766,8405,8050,7709,7383,7064,6740,6415,6107,
5822,5558,5306,5057,4813,4569,4350,4143,3948,3743,3530,3310,3095,2889,2687,2482,2272,2053,1836,1628,
1430,1233,1030,817,608,413,232,63,-103,-263,-421,-572,-704,-829,-950,-1077,-1209,-1338,-1457,-1570,
-1680,-1796,-1926,-2066,-2202,-2342,-2484,-2638,-2811,-2995,-3187,-3375,-3560,-3752,-3954,-4170,-4395,-4612,-4824,-5032,
-5243,-5459,-5675,-5879,-6067,-6241,-6413,-6592,-6779,-6959,-7129,-7289,-7449,-7615,-7789,-7964,-8134,-8287,-8441,-8602,
-8781,-8959,-9135,-9295,-9437,-9568,-9693,-9801,-9882,-9914,-9894,-9828,-9715,-9558,-9342,-9040,-8657,-8188,-7640,-7028,
-6343,-5588,-4763,-3880,-2964,-2022,-1067,-110,841,1766,2652,3490,4268,4983,5633,6206,6703,7128,7484,7779,
8002,8148,8225,8239,8204,8124,7998,7819,7594,7329,7040,6737,6422,6080,5715,5342,4974,4615,4272,3941,
3605,3276,2953,2655,2381,2118,1858,1606,1357,1126,916,722,528,329,121,-84,-285,-479,-680,-896,
-1129,-1366,-1602,-1831,-2061,-2301,-2558,-2824,-3083,-3331,-3576,-3815,-4060,-4306,-4544,-4766,-4967,-5156,-5351,-5545,
-5738,-5910,-6060,-6196,-6325,-6450,-6572,-6676,-6761,-6830,-6887,-6947,-6994,-7020,-7013,-6961,-6864,-6729,-6547,-6304,
-5992,-5594,-5117,-4564,-3928,-3214,-2421,-1552,-622,353,1359,2379,3396,4389,5339,6236,7070,7841,8542,9152,
9673,10101,10449,10735,10951,11108,11201,11235,11222,11181,11117,11024,10885,10708,10501,10278,10046,9801,9535,9241,
8924,8599,8274,7946,7610,7261,6902,6548,6205,5884,5572,5269,4965,4673,4395,4142,3907,3683,3463,3250,
3050,2870,2711,2554,2395,2229,2060,1904,1751,1600,1444,1278,1107,933,768,607,439,256,71,-118,
-301,-479,-650,-826,-1000,-1171,-1331,-1481,-1620,-1761,-1909,-2053,-2198,-2331,-2459,-2588,-2725,-2871,-3020,-3170,
-3313,-3468,-3637,-3819,-4017,-4219,-4423,-4629,-4847,-5082,-5331,-5582,-5835,-6080,-6338,-6596,-6864,-7131,-7387,-7621,
-7844,-8061,-8286,-8500,-8698,-8873,-9030,-9177,-9319,-9458,-9573,-9667,-9727,-9771,-9812,-9843,-9860,-9843,-9789,-9702,
-9581,-9429,-9234,-8977,-8647,-8243,-7763,-7222,-6608,-5912,-5136,-4283,-3365,-2410,-1423,-422,584,1569,2516,3405,
4232,4981,5646,6218,6700,7090,7407,7648,7817,7915,7948,7924,7864,7775,7654,7499,7305,7084,6847,6602,
6350,6081,5794,5488,5176,4867,4557,4243,3916,3568,3217,2872,2534,2216,1892,1567,1244,937,655,389,
129,-126,-380,-624,-851,-1057,-1249,-1440,-1640,-1835,-2027,-2204,-2381,-2565,-2761,-2974,-3185,-3395,-3600,-3811,
-4032,-4268,-4510,-4742,-4970,-5188,-5408,-5629,-5846,-6044,-6211,-6354,-6476,-6585,-6677,-6736,-6764,-6751,-6705,-6631,
-6525,-6378,-6183,-5932,-5635,-5297,-4915,-4486,-4003,-3464,-2868,-2225,-1530,-791,-9,808,1651,2502,3357,4207,
5040,5834,6583,7274,7904,8470,8968,9383,9709,9948,10111,10214,10264,10259,10193,10074,9913,9732,9541,9336,
9117,8882,8633,8392,8163,7941,7718,7479,7234,6986,6743,6514,6282,6040,5785,5528,5277,5030,4788,4537,
4275,4008,3741,3487,3247,3009,2770,2531,2299,2085,1884,1696,1509,1324,1143,980,835,696,563,423,
285,144,15,-113,-240,-383,-532,-686,-840,-982,-1135,-1292,-1465,-1645,-1829,-2012,-2191,-2377,-2570,-2774,
-2971,-3158,-3338,-3515,-3693,-3882,-4073,-4251,-4420,-4583,-4751,-4920,-5099,-5271,-5437,-5597,-5762,-5941,-6134,-6332,
-6532,-6727,-6922,-7135,-7361,-7596,-7827,-8046,-8264,-8480,-8698,-8918,-9117,-9285,-9427,-9540,-9639,-9715,-9759,-9755,
-9703,-9605,-9471,-9299,-9085,-8813,-8475,-8079,-7633,-7146,-6612,-6026,-5386,-4695,-3960,-3195,-2406,-1586,-747,103,
952,1779,2592,3368,4099,4777,5392,5943,6422,6829,7161,7409,7572,7662,7687,7660,7580,7449,7265,7046,
6802,6547,6290,6016,5726,5428,5133,4856,4595,4338,4082,3822,3567,3320,3086,2860,2628,2382,2133,1886,
1646,1409,1164,905,634,347,77,-193,-460,-740,-1022,-1300,-1566,-1816,-2058,-2295,-2537,-2777,-3007,-3221,
-3414,-3603,-3794,-3980,-4159,-4325,-4475,-4616,-4762,-4920,-5082,-5231,-5372,-5496,-5629,-5758,-5884,-5993,-6078,-6133,
-6166,-6180,-6163,-6107,-5992,-5813,-5573,-5267,-4899,-4459,-3944,-3357,-2698,-1979,-1215,-403,449,1327,2218,3101,
3971,4816,5628,6391,7101,7744,8336,8871,9350,9764,10107,10375,10591,10757,10880,10953,10962,10923,10837,10719,
10579,10406,10199,9951,9675,9386,9097,8800,8491,8162,7821,7479,7149,6833,6524,6215,5907,5611,5335,5088,
4850,4618,4389,4163,3946,3746,3556,3369,3176,2976,2782,2596,2417,2241,2050,1852,1648,1446,1251,1061,
866,666,460,266,75,-103,-279,-460,-640,-812,-978,-1124,-1268,-1408,-1549,-1688,-1827,-1954,-2076,-2204,
-2341,-2490,-2638,-2780,-2921,-3073,-3236,-3413,-3596,-3787,-3976,-4170,-4380,-4604,-4832,-5063,-5285,-5502,-5725,-5953,
-6189,-6423,-6646,-6858,-7063,-7274,-7486,-7695,-7887,-8065,-8230,-8393,-8566,-8742,-8906,-9050,-9182,-9309,-9438,-9563,
-9674,-9759,-9818,-9849,-9861,-9853,-9813,-9717,-9561,-9336,-9054,-8709,-8294,-7797,-7212,-6543,-5802,-4996,-4138,-3225,
-2269,-1281,-292,693,1648,2567,3429,4229,4953,5607,6181,6689,7122,7470,7743,7943,8083,8173,8202,8178,
8100,7976,7825,7652,7451,7221,6957,6666,6361,6050,5740,5415,5082,4737,4389,4052,3732,3416,3105,2784,
2470,2174,1905,1645,1401,1153,914,680,464,263,67,-137,-349,-563,-769,-967,-1165,-1371,-1589,-1822,
-2055,-2283,-2509,-2749,-3000,-3263,-3527,-3781,-4020,-4260,-4505,-4750,-4997,-5225,-5435,-5631,-5820,-6007,-6182,-6339,
-6471,-6579,-6668,-6749,-6824,-6875,-6899,-6888,-6851,-6786,-6699,-6568,-6391,-6155,-5859,-5505,-5097,-4623,-4076,-3447,
-2745,-1972,-1140,-258,675,1639,2620,3595,4550,5472,6350,7167,7904,8552,9117,9604,10016,10337,10577,10730,
10821,10859,10860,10816,10729,10595,10434,10252,10066,9867,9653,9416,9165,8902,8641,8377,8108,7815,7506,7189,
6882,6575,6275,5965,5647,5327,5016,4722,4441,4160,3885,3613,3352,3118,2901,2697,2500,2302,2115,1942,
1780,1633,1482,1327,1172,1023,883,754,616,471,318,157,3,-148,-304,-469,-642,-819,-995,-1162,
-1322,-1488,-1662,-1834,-2001,-2163,-2314,-2465,-2621,-2778,-2933,-3078,-3217,-3356,-3497,-3653,-3814,-3972,-4126,-4279,
-4441,-4616,-4804,-4997,-5190,-5385,-5590,-5815,-6048,-6296,-6538,-6776,-7012,-7250,-7498,-7749,-7991,-8219,-8429,-8634,
-8837,-9035,-9212,-9367,-9485,-9585,-9670,-9745,-9799,-9824,-9812,-9767,-9700,-9612,-9495,-9334,-9122,-8854,-8537,-8175,
-7763,-7287,-6738,-6112,-5415,-4654,-3836,-2958,-2033,-1070,-87,893,1858,2791,3677,4504,5249,5919,6502,7004,
7414,7733,7962,8105,8181,8203,8175,8093,7962,7794,7599,7393,7174,6945,6695,6428,6158,5889,5631,5369,
5094,4809,4513,4217,3930,3642,3345,3042,2722,2411,2111,1823,1537,1241,945,652,375,114,-135,-382,
-629,-874,-1101,-1309,-1502,-1697,-1890,-2092,-2291,-2478,-2659,-2838,-3025,-3226,-3432,-3634,-3829,-4026,-4231,-4449,
-4672,-4892,-5097,-5287,-5472,-5656,-5835,-5993,-6121,-6220,-6293,-6338,-6361,-6350,-6288,-6175,-6011,-5797,-5539,-5228,
-4860,-4430,-3941,-3401,-2811,-2175,-1493,-765,-2,790,1601,2426,3257,4082,4886,5660,6401,7103,7757,8351,
8878,9327,9704,10019,10270,10453,10562,10595,10568,10497,10384,10241,10059,9834,9589,9326,9067,8811,8552,8277,
7997,7710,7442,7185,6935,6683,6430,6173,5930,5700,5475,5247,5007,4764,4520,4283,4055,3825,3589,3345,
3099,2864,2639,2417,2194,1964,1738,1518,1315,1127,940,756,572,399,239,91,-56,-206,-357,-505,
-649,-781,-911,-1046,-1190,-1338,-1483,-1632,-1778,-1932,-2097,-2271,-2456,-2634,-2807,-2985,-3174,-3372,-3573,-3773,
-3969,-4160,-4353,-4555,-4760,-4961,-5146,-5327,-5504,-5688,-5880,-6067,-6250,-6426,-6596,-6775,-6963,-7158,-7349,-7532,
-7712,-7899,-8093,-8300,-8506,-8700,-8876,-9043,-9206,-9368,-9507,-9620,-9696,-9738,-9757,-9748,-9699,-9606,-9449,-9230,
-8958,-8638,-8265,-7830,-7327,-6761,-6141,-5475,-4768,-4021,-3235,-2414,-1573,-728,115,948,1757,2537,3277,3968,
4609,5193,5719,6175,6557,6869,7115,7297,7419,7473,7458,7384,7264,7110,6924,6706,6448,6167,5867,5570,
5273,4979,4676,4367,4061,3769,3489,3225,2962,2700,2432,2179,1939,1712,1489,1258,1018,777,544,316,
87,-152,-404,-667,-920,-1173,-1416,-1668,-1927,-2191,-2453,-2702,-2939,-3177,-3413,-3652,-3889,-4104,-4303,-4495,
-4678,-4865,-5048,-5217,-5371,-5509,-5639,-5772,-5902,-6019,-6119,-6197,-6264,-6317,-6360,-6385,-6370,-6317,-6226,-6093,
-5922,-5701,-5411,-5054,-4626,-4131,-3565,-2938,-2241,-1484,-671,176,1056,1952,2850,3743,4601,5423,6199,6932,
7602,8209,8739,9191,9576,9901,10167,10379,10525,10613,10653,10655,10631,10573,10478,10340,10168,9974,9771,9560,
9327,9071,8790,8501,8205,7910,7608,7296,6972,6646,6329,6029,5742,5460,5179,4901,4640,4393,4164,3944,
3724,3508,3301,3109,2933,2764,2589,2414,2236,2061,1897,1734,1567,1389,1207,1026,850,680,508,327,
139,-49,-233,-405,-572,-748,-918,-1087,-1249,-1398,-1542,-1686,-1829,-1977,-2124,-2261,-2395,-2529,-2666,-2814,
-2964,-3114,-3263,-3414,-3578,-3756,-3946,-4139,-4334,-4529,-4734,-4949,-5176,-5409,-5641,-5865,-6093,-6327,-6571,-6814,
-7049,-7270,-7480,-7687,-7897,-8103,-8299,-8472,-8635,-8783,-8929,-9068,-9197,-9299,-9378,-9438,-9482,-9520,-9538,-9528,
-9476,-9386,-9261,-9099,-8890,-8625,-8286,-7870,-7387,-6836,-6216,-5529,-4764,-3933,-3042,-2113,-1153,-181,793,1752,
2676,3549,4357,5098,5758,6340,6832,7241,7573,7838,8028,8149,8201,8197,8148,8065,7949,7802,7617,7404,
7171,6930,6684,6423,6147,5850,5542,5236,4935,4630,4322,4001,3676,3357,3052,2754,2463,2165,1870,1586,
1313,1062,818,575,330,90,-137,-348,-550,-751,-958,-1169,-1375,-1572,-1763,-1962,-2172,-2390,-2613,-2834,
-3052,-3272,-3500,-3737,-3982,-4225,-4451,-4677,-4903,-5130,-5359,-5573,-5765,-5943,-6102,-6255,-6397,-6519,-6614,-6678,
-6709,-6726,-6709,-6669,-6587,-6456,-6283,-6065,-5801,-5491,-5121,-4681,-4178,-3608,-2975,-2280,-1525,-717,139,1038,
1958,2895,3835,4761,5654,6498,7291,8024,8689,9273,9763,10165,10477,10718,10888,10998,11036,11009,10929,10808,
10664,10502,10308,10091,9852,9608,9362,9117,8874,8612,8337,8055,7777,7505,7231,6952,6662,6368,6074,5791,
5514,5234,4947,4653,4364,4088,3828,3572,3323,3073,2828,2599,2387,2188,1991,1793,1600,1416,1250,1092,
940,788,631,478,332,192,52,-95,-250,-411,-569,-725,-877,-1035,-1205,-1383,-1560,-1733,-1898,-2071,
-2246,-2427,-2607,-2783,-2951,-3117,-3284,-3460,-3640,-3810,-3978,-4139,-4305,-4477,-4652,-4830,-5006,-5174,-5348,-5533,
-5733,-5941,-6148,-6354,-6565,-6782,-7014,-7255,-7495,-7727,-7957,-8185,-8423,-8659,-8893,-9106,-9301,-9476,-9641,-9796,
-9934,-10038,-10106,-10144,-10155,-10145,-10105,-10027,-9901,-9720,-9499,-9236,-8932,-8577,-8157,-7672,-7127,-6531,-5875,-5168,
-4396,-3572,-2694,-1787,-860,77,1015,1939,2828,3666,4450,5171,5815,6376,6850,7231,7537,7761,7912,7988,
7990,7925,7813,7668,7492,7284,7047,6788,6518,6247,5979,5715,5439,5162,4878,4600,4334,4074,3808,3539,
3259,2985,2714,2454,2191,1921,1638,1354,1077,810,544,274,2,-269,-536,-786,-1022,-1255,-1495,-1733,
-1959,-2169,-2371,-2562,-2758,-2957,-3152,-3341,-3518,-3690,-3870,-4055,-4246,-4435,-4615,-4786,-4960,-5137,-5320,-5497,
-5656,-5801,-5929,-6053,-6166,-6252,-6310,-6327,-6301,-6238,-6139,-5995,-5795,-5534,-5207,-4826,-4384,-3885,-3322,-2701,
-2023,-1298,-534,257,1075,1903,2742,3565,4377,5166,5930,6655,7328,7943,8500,8996,9438,9817,10124,10356,
10523,10635,10697,10711,10670,10575,10431,10252,10054,9842,9605,9347,9066,8778,8486,8206,7924,7638,7343,7054,
6772,6511,6258,6015,5761,5516,5276,5048,4829,4612,4393,4173,3953,3737,3534,3333,3127,2912,2692,2480,
2275,2074,1878,1673,1469,1268,1082,904,733,558,383,211,46,-109,-254,-398,-547,-696,-838,-971,
-1102,-1235,-1372,-1520,-1667,-1816,-1961,-2111,-2268,-2436,-2615,-2796,-2971,-3152,-3337,-3534,-3744,-3948,-4152,-4348,
-4545,-4753,-4966,-5174,-5380,-5573,-5768,-5960,-6162,-6361,-6557,-6738,-6910,-7083,-7268,-7455,-7638,-7812,-7980,-8135,
-8303,-8470,-8633,-8785,-8907,-9014,-9111,-9195,-9262,-9298,-9294,-9247,-9158,-9028,-8861,-8632,-8340,-7974,-7545,-7059,
-6516,-5914,-5248,-4525,-3749,-2945,-2113,-1269,-414,438,1278,2086,2864,3592,4267,4887,5441,5927,6351,6716,
7020,7252,7423,7524,7573,7574,7531,7440,7301,7116,6901,6666,6416,6149,5862,5558,5241,4929,4619,4314,
4007,3695,3382,3076,2791,2520,2253,1987,1721,1464,1217,981,755,523,287,43,-192,-420,-641,-866,
-1102,-1347,-1591,-1828,-2061,-2299,-2541,-2792,-3047,-3284,-3518,-3741,-3967,-4198,-4429,-4642,-4847,-5031,-5209,-5386,
-5558,-5718,-5852,-5968,-6067,-6163,-6245,-6313,-6359,-6370,-6355,-6312,-6244,-6145,-5996,-5801,-5546,-5247,-4890,-4476,
-3999,-3450,-2831,-2156,-1417,-633,196,1062,1948,2836,3717,4577,5411,6201,6931,7597,8197,8728,9197,9589,
9905,10141,10312,10429,10506,10533,10517,10457,10354,10224,10081,9924,9747,9541,9312,9072,8831,8583,8326,8056,
7769,7471,7168,6877,6586,6293,5987,5684,5386,5104,4834,4569,4304,4045,3789,3548,3333,3125,2919,2716,
2519,2330,2159,1992,1831,1667,1495,1333,1177,1025,875,714,548,383,219,58,-101,-264,-438,-617,
-786,-950,-1113,-1269,-1433,-1602,-1761,-1919,-2067,-2213,-2364,-2519,-2670,-2821,-2962,-3102,-3249,-3400,-3560,-3723,
-3880,-4041,-4206,-4381,-4572,-4768,-4960,-5158,-5353,-5564,-5789,-6022,-6253,-6478,-6703,-6926,-7158,-7392,-7623,-7838,
-8040,-8234,-8425,-8615,-8794,-8949,-9077,-9186,-9282,-9370,-9438,-9481,-9490,-9467,-9420,-9347,-9250,-9113,-8924,-8680,
-8383,-8036,-7642,-7186,-6655,-6052,-5381,-4644,-3856,-3012,-2125,-1199,-250,700,1640,2555,3427,4249,5002,5681,
6281,6801,7238,7593,7855,8044,8162,8221,8230,8180,8084,7941,7769,7573,7368,7143,6897,6633,6358,6084,
5814,5542,5266,4970,4669,4370,4074,3784,3493,3191,2887,2583,2292,2011,1733,1451,1172,886,617,362,
115,-126,-372,-612,-845,-1063,-1271,-1473,-1680,-1896,-2110,-2314,-2507,-2702,-2902,-3110,-3326,-3539,-3748,-3953,
-4163,-4385,-4614,-4836,-5052,-5251,-5449,-5643,-5835,-6014,-6179,-6316,-6433,-6530,-6616,-6675,-6697,-6675,-6610,-6506,
-6361,-6174,-5935,-5637,-5273,-4852,-4371,-3835,-3233,-2568,-1844,-1065,-242,616,1506,2414,3328,4230,5113,5969,
6785,7555,8257,8883,9438,9915,10319,10647,10892,11052,11137,11160,11137,11071,10960,10798,10599,10377,10143,9900,
9646,9379,9099,8809,8524,8246,7976,7697,7414,7126,6846,6575,6313,6047,5779,5502,5230,4963,4706,4457,
4196,3936,3678,3428,3185,2956,2722,2496,2265,2042,1835,1641,1450,1262,1072,890,716,551,396,242,
78,-79,-234,-383,-527,-672,-829,-985,-1148,-1306,-1460,-1619,-1782,-1956,-2130,-2303,-2474,-2644,-2819,-3001,
-3188,-3374,-3556,-3734,-3912,-4101,-4291,-4482,-4664,-4846,-5024,-5206,-5395,-5591,-5783,-5968,-6155,-6349,-6553,-6767,
-6976,-7190,-7392,-7601,-7822,-8051,-8282,-8504,-8714,-8916,-9123,-9324,-9520,-9699,-9850,-9979,-10084,-10176,-10247,-10286,
-10278,-10226,-10131,-10001,-9832,-9614,-9337,-8998,-8599,-8143,-7641,-7082,-6456,-5762,-5016,-4222,-3389,-2529,-1638,-731,
182,1090,1972,2826,3635,4381,5068,5683,6219,6687,7071,7382,7609,7757,7833,7850,7815,7727,7589,7399,
7179,6936,6683,6416,6136,5842,5542,5243,4957,4679,4402,4115,3831,3550,3281,3023,2774,2520,2258,1994,
1738,1489,1243,991,735,468,207,-49,-292,-539,-789,-1045,-1297,-1538,-1773,-1997,-2225,-2459,-2684,-2903,
-3106,-3300,-3491,-3687,-3887,-4080,-4263,-4433,-4604,-4775,-4952,-5120,-5279,-5427,-5561,-5696,-5829,-5948,-6054,-6130,
-6187,-6219,-6230,-6209,-6149,-6035,-5870,-5654,-5389,-5070,-4686,-4238,-3720,-3138,-2497,-1805,-1062,-276,541,1383,
2232,3075,3912,4727,5510,6247,6938,7585,8180,8716,9188,9583,9915,10183,10398,10563,10666,10706,10698,10643,
10560,10447,10302,10120,9903,9665,9414,9158,8892,8612,8312,8007,7706,7410,7125,6842,6554,6264,5987,5719,
5469,5227,4983,4742,4507,4280,4068,3864,3662,3458,3248,3044,2850,2661,2474,2278,2079,1881,1688,1507,
1324,1140,947,755,573,398,225,58,-114,-285,-453,-613,-758,-907,-1058,-1211,-1363,-1507,-1648,-1785,
-1928,-2076,-2231,-2386,-2539,-2693,-2851,-3029,-3213,-3396,-3579,-3768,-3952,-4153,-4360,-4574,-4787,-4991,-5198,-5410,
-5630,-5850,-6068,-6276,-6474,-6675,-6875,-7081,-7280,-7467,-7643,-7813,-7983,-8151,-8320,-8473,-8609,-8728,-8842,-8954,
-9058,-9140,-9194,-9222,-9224,-9205,-9155,-9067,-8937,-8743,-8495,-8203,-7858,-7452,-6976,-6430,-5816,-5143,-4418,-3649,
-2834,-1988,-1119,-249,617,1462,2283,3062,3785,4454,5060,5602,6075,6479,6811,7073,7270,7415,7507,7549,
7530,7467,7361,7225,7057,6871,6655,6406,6141,5862,5582,5299,5005,4697,4384,4068,3760,3458,3161,2861,
2558,2261,1980,1709,1451,1190,931,672,425,182,-43,-269,-498,-735,-969,-1188,-1405,-1621,-1840,-2073,
-2306,-2535,-2758,-2978,-3203,-3439,-3675,-3906,-4128,-4345,-4557,-4772,-4985,-5193,-5387,-5555,-5717,-5866,-6014,-6144,
-6249,-6330,-6385,-6423,-6435,-6431,-6390,-6312,-6186,-6017,-5810,-5557,-5255,-4888,-4462,-3975,-3429,-2825,-2165,-1444,
-676,138,980,1851,2732,3613,4473,5301,6093,6834,7521,8150,8705,9182,9578,9906,10172,10371,10501,10568,
10576,10537,10467,10372,10244,10088,9898,9693,9479,9261,9038,8796,8539,8267,7999,7733,7466,7194,6911,6619,
6331,6048,5777,5501,5222,4942,4661,4394,4140,3895,3650,3409,3170,2940,2729,2528,2328,2131,1937,1749,
1572,1405,1247,1085,919,755,597,445,296,143,-17,-181,-345,-503,-660,-816,-982,-1153,-1323,-1489,
-1653,-1808,-1973,-2139,-2310,-2473,-2634,-2788,-2947,-3108,-3277,-3440,-3604,-3762,-3923,-4088,-4266,-4443,-4615,-4789,
-4963,-5149,-5343,-5543,-5751,-5955,-6156,-6365,-6583,-6813,-7040,-7262,-7473,-7688,-7906,-8125,-8344,-8546,-8727,-8895,
-9052,-9202,-9339,-9451,-9533,-9585,-9618,-9628,-9611,-9568,-9479,-9340,-9162,-8945,-8690,-8383,-8020,-7590,-7102,-6556,
-5952,-5292,-4570,-3788,-2950,-2077,-1176,-257,666,1584,2481,3341,4152,4905,5591,6209,6740,7191,7556,7846,
8063,8209,8276,8282,8233,8140,8013,7851,7656,7434,7185,6931,6675,6416,6145,5867,5580,5302,5023,4753,
4481,4202,3916,3627,3349,3078,2809,2537,2255,1974,1702,1434,1172,913,647,377,118,-132,-370,-604,
-842,-1077,-1314,-1537,-1746,-1954,-2163,-2377,-2593,-2800,-3004,-3200,-3398,-3605,-3816,-4028,-4232,-4431,-4625,-4831,
-5033,-5233,-5425,-5600,-5764,-5919,-6067,-6203,-6311,-6393,-6441,-6461,-6454,-6408,-6319,-6177,-5975,-5717,-5407,-5040,
-4610,-4119,-3552,-2925,-2243,-1506,-720,110,971,1858,2750,3648,4531,5393,6218,6995,7714,8380,8989,9531,
9996,10382,10685,10917,11083,11189,11233,11215,11136,11018,10863,10690,10488,10256,9999,9725,9441,9158,8877,8589,
8289,7984,7686,7399,7124,6848,6573,6295,6018,5755,5503,5256,5004,4751,4499,4254,4021,3793,3566,3336,
3102,2870,2654,2444,2239,2024,1816,1614,1417,1230,1054,876,695,518,342,179,24,-130,-287,-444,
-602,-752,-900,-1043,-1196,-1354,-1512,-1668,-1822,-1974,-2135,-2307,-2480,-2653,-2828,-3002,-3177,-3363,-3558,-3757,
-3948,-4136,-4326,-4518,-4719,-4922,-5126,-5320,-5514,-5710,-5915,-6126,-6329,-6531,-6727,-6927,-7132,-7345,-7557,-7769,
-7970,-8172,-8373,-8583,-8791,-8989,-9170,-9337,-9493,-9648,-9792,-9914,-10007,-10065,-10094,-10095,-10068,-10000,-9875,-9700,
-9470,-9185,-8854,-8462,-8008,-7480,-6887,-6233,-5531,-4775,-3974,-3133,-2257,-1365,-470,419,1292,2136,2948,3703,
4405,5044,5617,6120,6543,6889,7163,7366,7509,7587,7602,7552,7449,7312,7142,6942,6710,6451,6167,5880,
5585,5294,5000,4697,4384,4084,3785,3505,3227,2950,2670,2393,2129,1876,1629,1385,1132,881,632,392,
156,-75,-315,-563,-809,-1048,-1281,-1507,-1742,-1981,-2218,-2453,-2675,-2890,-3105,-3325,-3547,-3761,-3963,-4151,
-4342,-4529,-4720,-4902,-5075,-5234,-5380,-5525,-5667,-5808,-5927,-6032,-6113,-6185,-6238,-6280,-6295,-6276,-6217,-6122,
-5987,-5815,-5591,-5305,-4957,-4545,-4077,-3548,-2956,-2305,-1591,-830,-28,804,1658,2522,3382,4223,5038,5819,
6556,7248,7878,8442,8940,9375,9749,10066,10315,10498,10613,10677,10698,10688,10633,10544,10412,10252,10069,9873,
9662,9431,9171,8900,8622,8341,8059,7776,7480,7178,6880,6586,6312,6038,5764,5487,5216,4960,4715,4484,
4256,4029,3806,3590,3384,3194,3003,2812,2615,2423,2239,2062,1886,1712,1530,1344,1166,992,822,649,
472,291,114,-58,-218,-382,-547,-718,-886,-1044,-1198,-1348,-1500,-1656,-1810,-1963,-2113,-2256,-2406,-2560,
-2726,-2891,-3057,-3221,-3390,-3565,-3751,-3941,-4138,-4325,-4515,-4716,-4930,-5150,-5368,-5582,-5793,-6004,-6225,-6447,
-6669,-6885,-7088,-7286,-7486,-7684,-7880,-8064,-8231,-8383,-8530,-8670,-8803,-8920,-9014,-9084,-9139,-9182,-9208,-9208,
-9174,-9100,-8983,-8831,-8643,-8414,-8126,-7773,-7359,-6889,-6356,-5773,-5122,-4413,-3647,-2837,-1997,-1137,-264,607,
1463,2289,3078,3814,4500,5111,5660,6132,6536,6867,7134,7338,7476,7544,7565,7537,7475,7374,7238,7062,
6863,6643,6413,6173,5916,5643,5356,5062,4772,4484,4194,3899,3594,3287,2987,2699,2415,2133,1845,1557,
1277,1010,756,504,252,-6,-257,-497,-725,-950,-1176,-1409,-1640,-1861,-2080,-2287,-2504,-2726,-2952,-3178,
-3397,-3610,-3824,-4047,-4271,-4495,-4709,-4911,-5105,-5298,-5489,-5672,-5841,-5986,-6112,-6226,-6325,-6404,-6457,-6474,
-6454,-6398,-6313,-6197,-6029,-5809,-5537,-5208,-4823,-4388,-3888,-3332,-2713,-2039,-1315,-553,255,1091,1948,2814,
3671,4515,5339,6123,6860,7537,8147,8696,9175,9588,9929,10191,10376,10502,10571,10592,10564,10488,10368,10214,
10038,9853,9647,9428,9182,8928,8669,8412,8153,7893,7615,7337,7054,6782,6515,6250,5981,5702,5426,5158,
4898,4643,4387,4130,3873,3624,3388,3161,2939,2712,2491,2275,2070,1877,1689,1503,1318,1136,961,796,
639,479,320,156,-3,-161,-307,-459,-616,-777,-937,-1095,-1249,-1404,-1564,-1731,-1897,-2064,-2224,-2383,
-2545,-2715,-2890,-3063,-3229,-3398,-3563,-3736,-3915,-4095,-4272,-4444,-4614,-4791,-4973,-5161,-5350,-5538,-5722,-5912,
-6112,-6318,-6529,-6733,-6936,-7139,-7349,-7568,-7788,-8002,-8209,-8402,-8597,-8793,-8981,-9158,-9308,-9436,-9548,-9645,
-9726,-9783,-9800,-9783,-9728,-9638,-9520,-9359,-9148,-8874,-8547,-8169,-7741,-7256,-6711,-6100,-5428,-4702,-3928,-3116,
-2266,-1382,-483,422,1319,2191,3035,3827,4569,5243,5850,6384,6848,7236,7543,7769,7921,8013,8044,8023,
7946,7817,7647,7451,7236,7007,6760,6491,6211,5926,5646,5369,5091,4808,4523,4237,3960,3693,3430,3163,
2893,2620,2355,2092,1841,1585,1325,1059,798,543,298,55,-195,-445,-695,-936,-1171,-1398,-1620,-1846,
-2078,-2301,-2513,-2717,-2920,-3135,-3344,-3553,-3758,-3946,-4137,-4330,-4527,-4727,-4914,-5092,-5263,-5428,-5592,-5753,
-5901,-6029,-6133,-6216,-6285,-6333,-6346,-6324,-6256,-6145,-5989,-5785,-5528,-5207,-4817,-4360,-3840,-3259,-2615,-1912,
-1154,-353,487,1354,2240,3135,4020,4887,5721,6514,7269,7966,8605,9169,9661,10086,10444,10737,10963,11112,
11196,11221,11198,11142,11039,10897,10714,10501,10271,10031,9775,9506,9217,8918,8610,8312,8018,7726,7428,7125,
6828,6543,6270,6003,5736,5470,5204,4949,4709,4479,4245,4018,3783,3557,3336,3127,2918,2710,2494,2285,
2082,1887,1698,1505,1315,1124,933,756,586,416,243,66,-103,-264,-421,-576,-730,-890,-1049,-1205,
-1354,-1502,-1652,-1808,-1971,-2130,-2289,-2450,-2611,-2783,-2964,-3149,-3332,-3513,-3696,-3888,-4086,-4293,-4496,-4699,
-4897,-5101,-5312,-5530,-5747,-5961,-6163,-6370,-6586,-6799,-7017,-7229,-7434,-7632,-7833,-8039,-8247,-8446,-8636,-8813,
-8987,-9158,-9324,-9479,-9614,-9725,-9816,-9893,-9954,-9988,-9983,-9937,-9848,-9713,-9541,-9316,-9037,-8688,-8272,-7793,
-7258,-6664,-6004,-5284,-4508,-3687,-2828,-1948,-1055,-155,733,1600,2431,3214,3944,4614,5216,5749,6207,6601,
6921,7176,7357,7471,7523,7515,7469,7377,7243,7067,6858,6628,6381,6124,5852,5564,5263,4956,4651,4354,
4062,3762,3465,3166,2876,2599,2332,2064,1800,1530,1269,1019,779,543,300,56,-184,-423,-650,-872,
-1100,-1337,-1576,-1809,-2032,-2251,-2472,-2696,-2925,-3152,-3370,-3585,-3790,-4001,-4220,-4428,-4628,-4817,-4995,-5172,
-5345,-5515,-5673,-5812,-5938,-6051,-6153,-6248,-6322,-6365,-6383,-6368,-6332,-6267,-6166,-6018,-5821,-5571,-5273,-4918,
-4504,-4028,-3487,-2882,-2223,-1510,-746,53,886,1737,2596,3450,4293,5108,5891,6621,7298,7914,8473,8966,
9389,9744,10023,10240,10402,10512,10574,10581,10537,10455,10346,10214,10064,9883,9679,9451,9211,8968,8721,8461,
8188,7905,7617,7333,7053,6774,6493,6203,5915,5638,5370,5109,4855,4598,4348,4102,3870,3651,3438,3228,
3016,2807,2614,2426,2244,2066,1883,1702,1525,1356,1190,1022,849,677,503,334,172,6,-160,-332,
-505,-672,-834,-993,-1155,-1321,-1486,-1648,-1802,-1955,-2105,-2264,-2425,-2591,-2748,-2901,-3056,-3223,-3392,-3566,
-3740,-3911,-4089,-4268,-4456,-4654,-4849,-5047,-5242,-5443,-5654,-5869,-6085,-6304,-6512,-6720,-6931,-7151,-7365,-7572,
-7766,-7950,-8129,-8304,-8477,-8634,-8773,-8888,-8989,-9080,-9159,-9217,-9243,-9235,-9200,-9142,-9055,-8934,-8771,-8553,
-8285,-7967,-7604,-7187,-6708,-6168,-5560,-4899,-4185,-3430,-2633,-1802,-944,-74,791,1645,2463,3255,3985,4658,
5267,5809,6280,6683,7012,7267,7452,7577,7648,7668,7631,7552,7424,7270,7096,6899,6686,6451,6195,5929,
5667,5398,5127,4844,4556,4263,3976,3696,3420,3140,2851,2562,2280,2006,1742,1474,1207,934,671,413,
166,-72,-312,-559,-800,-1034,-1257,-1477,-1696,-1917,-2142,-2362,-2571,-2778,-2982,-3195,-3414,-3630,-3841,-4046,
-4247,-4445,-4649,-4851,-5043,-5223,-5384,-5543,-5698,-5839,-5963,-6061,-6134,-6178,-6200,-6194,-6157,-6073,-5943,-5766,
-5544,-5273,-4948,-4565,-4118,-3608,-3040,-2419,-1745,-1024,-257,547,1375,2226,3080,3931,4761,5562,6328,7048,
7717,8332,8883,9361,9759,10086,10348,10547,10684,10758,10768,10728,10652,10541,10397,10225,10019,9791,9550,9304,
9052,8793,8512,8232,7945,7662,7389,7114,6836,6553,6267,5991,5725,5465,5203,4940,4676,4419,4168,3928,
3695,3451,3212,2977,2754,2538,2329,2117,1909,1702,1502,1315,1132,955,774,593,417,253,88,-68,
-227,-390,-555,-713,-865,-1014,-1173,-1333,-1491,-1654,-1808,-1965,-2120,-2280,-2450,-2619,-2785,-2949,-3116,-3289,
-3469,-3649,-3830,-4006,-4179,-4365,-4548,-4741,-4933,-5118,-5303,-5492,-5683,-5883,-6085,-6283,-6476,-6673,-6875,-7084,
-7294,-7501,-7703,-7902,-8098,-8304,-8508,-8704,-8883,-9048,-9209,-9363,-9507,-9634,-9736,-9808,-9849,-9870,-9865,-9833,
-9757,-9631,-9455,-9237,-8974,-8658,-8289,-7849,-7347,-6780,-6163,-5495,-4769,-3995,-3176,-2321,-1451,-563,325,1203,
2062,2889,3666,4392,5053,5650,6173,6623,6997,7303,7539,7712,7813,7850,7825,7754,7642,7499,7320,7108,
6867,6610,6351,6086,5808,5523,5230,4935,4648,4364,4087,3809,3529,3247,2976,2712,2455,2200,1938,1674,
1413,1159,914,670,424,168,-87,-330,-571,-806,-1042,-1283,-1526,-1761,-1992,-2213,-2429,-2654,-2877,-3099,
-3313,-3518,-3718,-3923,-4132,-4339,-4534,-4723,-4903,-5077,-5256,-5432,-5594,-5743,-5878,-5996,-6111,-6210,-6294,-6345,
-6362,-6349,-6308,-6228,-6109,-5936,-5713,-5424,-5082,-4680,-4222,-3689,-3089,-2423,-1707,-939,-132,718,1585,2470,
3352,4223,5072,5891,6668,7392,8053,8654,9189,9664,10065,10391,10644,10828,10955,11032,11061,11035,10961,10841,
10693,10523,10329,10111,9867,9600,9326,9046,8765,8481,8184,7876,7570,7271,6978,6692,6407,6121,5839,5561,
5302,5050,4804,4558,4310,4072,3849,3628,3422,3207,2996,2783,2576,2383,2195,2005,1812,1619,1432,1247,
1072,895,717,536,362,189,26,-135,-297,-467,-631,-793,-950,-1098,-1250,-1405,-1567,-1719,-1867,-2016,
-2169,-2323,-2484,-2650,-2812,-2978,-3140,-3312,-3493,-3678,-3865,-4049,-4236,-4426,-4627,-4834,-5046,-5249,-5455,-5659,
-5868,-6089,-6309,-6522,-6730,-6936,-7142,-7357,-7569,-7776,-7973,-8160,-8344,-8529,-8707,-8883,-9040,-9183,-9311,-9428,
-9535,-9628,-9691,-9723,-9725,-9700,-9648,-9560,-9426,-9246,-9003,-8706,-8357,-7951,-7484,-6941,-6335,-5664,-4939,-4168,
-3356,-2502,-1622,-727,170,1052,1910,2734,3508,4223,4871,5456,5972,6416,6785,7083,7307,7468,7569,7617,
7610,7547,7435,7288,7116,6920,6699,6453,6189,5910,5622,5340,5050,4753,4448,4138,3837,3543,3251,2966,
2680,2392,2106,1832,1573,1313,1053,788,534,283,46,-189,-423,-664,-904,-1140,-1364,-1584,-1805,-2034,
-2263,-2490,-2710,-2924,-3139,-3357,-3577,-3800,-4017,-4223,-4423,-4623,-4821,-5020,-5207,-5380,-5541,-5690,-5837,-5972,
-6094,-6195,-6270,-6325,-6363,-6374,-6360,-6310,-6216,-6079,-5904,-5682,-5415,-5090,-4704,-4259,-3754,-3186,-2567,-1889,
-1158,-383,425,1261,2111,2969,3816,4641,5434,6189,6904,7564,8163,8700,9157,9545,9868,10127,10327,10459,
10530,10545,10522,10469,10382,10259,10103,9921,9719,9505,9284,9051,8803,8539,8267,7999,7729,7458,7180,6895,
6605,6321,6045,5780,5511,5239,4971,4707,4455,4211,3977,3741,3507,3278,3062,2853,2653,2455,2259,2061,
1871,1694,1519,1347,1174,997,823,653,494,329,164,-2,-171,-335,-503,-663,-825,-994,-1166,-1334,
-1498,-1656,-1814,-1979,-2147,-2314,-2478,-2638,-2797,-2961,-3134,-3308,-3478,-3647,-3816,-3985,-4164,-4351,-4538,-4727,
-4908,-5095,-5290,-5496,-5702,-5905,-6109,-6310,-6522,-6733,-6956,-7170,-7379,-7582,-7781,-7983,-8184,-8377,-8557,-8717,
-8867,-9009,-9144,-9265,-9361,-9427,-9470,-9488,-9489,-9462,-9398,-9296,-9147,-8957,-8735,-8465,-8143,-7762,-7320,-6821,
-6264,-5656,-4997,-4280,-3514,-2710,-1880,-1030,-173,688,1531,2349,3130,3860,4536,5148,5689,6158,6554,6881,
7139,7338,7465,7528,7535,7493,7412,7295,7148,6962,6747,6517,6274,6028,5774,5505,5227,4944,4660,4384,
4110,3829,3547,3262,2976,2702,2436,2167,1895,1619,1349,1084,826,575,323,62,-192,-441,-680,-911,
-1142,-1375,-1610,-1840,-2060,-2274,-2483,-2697,-2914,-3133,-3339,-3545,-3741,-3944,-4150,-4353,-4552,-4744,-4922,-5098,
-5270,-5443,-5604,-5743,-5865,-5972,-6064,-6141,-6193,-6213,-6200,-6144,-6052,-5927,-5748,-5524,-5241,-4900,-4502,-4047,
-3532,-2963,-2329,-1643,-908,-136,672,1504,2358,3208,4046,4870,5665,6426,7141,7799,8397,8931,9405,9817,
10153,10418,10613,10740,10814,10835,10817,10752,10642,10495,10316,10125,9913,9685,9433,9167,8890,8615,8339,8063,
7778,7491,7199,6915,6640,6370,6099,5826,5554,5288,5029,4785,4540,4296,4053,3807,3575,3353,3133,2915,
2696,2478,2268,2067,1871,1679,1486,1291,1104,922,749,577,403,233,64,-105,-262,-420,-576,-738,
-902,-1061,-1215,-1368,-1520,-1679,-1838,-1998,-2159,-2316,-2475,-2641,-2812,-2988,-3159,-3335,-3509,-3686,-3868,-4060,
-4251,-4437,-4621,-4810,-5005,-5207,-5408,-5608,-5802,-5997,-6198,-6403,-6614,-6819,-7017,-7216,-7417,-7619,-7826,-8031,
-8223,-8407,-8587,-8761,-8937,-9104,-9251,-9382,-9490,-9588,-9671,-9730,-9761,-9752,-9707,-9622,-9504,-9348,-9141,-8878,
-8555,-8174,-7735,-7243,-6689,-6070,-5390,-4651,-3871,-3053,-2207,-1336,-452,430,1301,2151,2961,3726,4436,5082,
5661,6173,6615,6984,7284,7506,7664,7757,7797,7786,7723,7611,7462,7274,7071,6848,6604,6341,6065,5773,
5488,5199,4914,4625,4330,4035,3747,3463,3190,2918,2642,2370,2098,1836,1582,1334,1082,829,571,324,
78,-158,-398,-641,-889,-1127,-1361,-1590,-1814,-2043,-2278,-2511,-2735,-2953,-3166,-3383,-3603,-3819,-4034,-4234,
-4429,-4623,-4821,-5013,-5199,-5371,-5532,-5685,-5827,-5965,-6092,-6197,-6278,-6336,-6372,-6390,-6377,-6320,-6221,-6078,
-5887,-5647,-5355,-5003,-4586,-4102,-3551,-2948,-2279,-1561,-788,23,868,1734,2611,3486,4344,5175,5969,6716,
7414,8058,8641,9152,9589,9957,10258,10496,10674,10786,10841,10839,10797,10722,10614,10475,10295,10095,9870,9630,
9385,9124,8854,8567,8271,7975,7688,7399,7107,6813,6516,6225,5943,5672,5405,5138,4870,4613,4370,4136,
3907,3679,3453,3229,3014,2810,2615,2420,2221,2024,1830,1648,1469,1291,1110,927,746,569,398,231,
68,-107,-279,-447,-611,-767,-931,-1091,-1255,-1421,-1573,-1722,-1872,-2027,-2190,-2346,-2502,-2659,-2812,-2977,
-3144,-3319,-3492,-3664,-3832,-4012,-4199,-4390,-4588,-4782,-4976,-5175,-5380,-5592,-5807,-6020,-6227,-6434,-6646,-6862,
-7084,-7298,-7508,-7708,-7907,-8106,-8305,-8497,-8674,-8840,-8992,-9137,-9277,-9405,-9515,-9597,-9658,-9694,-9716,-9710,
-9668,-9589,-9462,-9296,-9090,-8836,-8529,-8159,-7720,-7219,-6661,-6045,-5366,-4632,-3842,-3011,-2151,-1269,-384,502,
1377,2223,3030,3781,4480,5113,5679,6163,6577,6919,7195,7401,7547,7621,7640,7605,7532,7424,7279,7100,
6886,6655,6410,6151,5887,5611,5321,5025,4731,4440,4151,3861,3565,3267,2976,2691,2416,2146,1872,1596,
1325,1062,810,562,315,67,-187,-428,-665,-895,-1120,-1348,-1583,-1812,-2032,-2247,-2464,-2682,-2904,-3127,
-3347,-3557,-3763,-3969,-4179,-4392,-4596,-4787,-4973,-5150,-5325,-5498,-5659,-5800,-5923,-6031,-6126,-6204,-6262,-6292,
-6289,-6254,-6186,-6080,-5939,-5751,-5506,-5207,-4852,-4448,-3984,-3461,-2877,-2238,-1540,-795,-13,802,1641,2494,
3345,4183,5000,5790,6540,7233,7871,8447,8963,9411,9795,10104,10344,10511,10621,10684,10702,10670,10596,10481,
10337,10176,9994,9797,9576,9338,9086,8833,8577,8318,8050,7773,7490,7214,6936,6668,6398,6121,5843,5569,
5302,5049,4796,4548,4295,4052,3812,3585,3366,3150,2926,2713,2505,2308,2120,1932,1745,1560,1377,1202,
1030,864,694,523,353,186,24,-136,-297,-462,-633,-804,-966,-1127,-1289,-1453,-1622,-1787,-1952,-2115,
-2276,-2442,-2614,-2788,-2960,-3129,-3298,-3475,-3653,-3836,-4022,-4205,-4384,-4568,-4756,-4953,-5157,-5356,-5548,-5750,
-5952,-6164,-6381,-6592,-6804,-7013,-7219,-7432,-7650,-7861,-8065,-8257,-8441,-8624,-8800,-8967,-9117,-9245,-9354,-9445,
-9526,-9584,-9615,-9606,-9564,-9489,-9384,-9241,-9056,-8820,-8529,-8183,-7789,-7343,-6837,-6274,-5653,-4973,-4246,-3479,
-2678,-1851,-1002,-145,706,1535,2341,3107,3825,4483,5082,5612,6075,6465,6787,7034,7212,7325,7389,7398,
7359,7269,7139,6974,6789,6578,6355,6112,5853,5576,5299,5027,4754,4475,4191,3903,3617,3338,3064,2791,
2518,2236,1963,1691,1430,1175,913,653,390,135,-116,-356,-601,-843,-1089,-1330,-1560,-1784,-2005,-2227,
-2452,-2674,-2892,-3101,-3305,-3513,-3725,-3932,-4138,-4330,-4524,-4709,-4896,-5081,-5260,-5428,-5580,-5720,-5858,-5981,
-6088,-6176,-6234,-6266,-6269,-6253,-6198,-6109,-5968,-5775,-5537,-5246,-4901,-4496,-4029,-3505,-2915,-2277,-1588,-854,
-78,729,1560,2402,3247,4085,4899,5682,6426,7119,7764,8351,8881,9344,9733,10049,10304,10504,10642,10721,
10741,10710,10637,10533,10403,10243,10049,9832,9595,9349,9097,8836,8565,8281,7990,7702,7421,7144,6869,6586,
6301,6025,5760,5500,5244,4989,4736,4489,4245,4016,3789,3563,3336,3109,2895,2685,2480,2280,2077,1879,
1679,1486,1304,1123,941,759,579,407,236,72,-90,-256,-424,-587,-744,-898,-1054,-1213,-1372,-1527,
-1684,-1837,-1984,-2141,-2301,-2468,-2633,-2794,-2955,-3121,-3297,-3474,-3654,-3835,-4015,-4196,-4384,-4579,-4774,-4972,
-5165,-5357,-5557,-5764,-5971,-6178,-6377,-6575,-6777,-6986,-7195,-7400,-7600,-7795,-7985,-8176,-8369,-8555,-8729,-8889,
-9036,-9175,-9307,-9423,-9521,-9594,-9638,-9655,-9650,-9615,-9547,-9428,-9261,-9043,-8786,-8472,-8105,-7673,-7178,-6618,
-6004,-5332,-4614,-3841,-3021,-2173,-1304,-425,451,1315,2153,2953,3707,4410,5049,5625,6135,6567,6929,7217,
7444,7608,7707,7746,7731,7663,7561,7423,7255,7059,6829,6581,6325,6059,5787,5508,5215,4918,4625,4334,
4053,3769,3487,3201,2917,2642,2376,2114,1855,1588,1324,1070,822,577,333,86,-161,-409,-647,-883,
-1115,-1353,-1589,-1827,-2057,-2278,-2500,-2723,-2952,-3180,-3401,-3614,-3822,-4026,-4235,-4441,-4644,-4835,-5013,-5185,
-5358,-5520,-5676,-5814,-5937,-6039,-6124,-6197,-6251,-6274,-6262,-6214,-6133,-6015,-5855,-5646,-5376,-5049,-4663,-4217,
-3707,-3144,-2510,-1825,-1084,-304,515,1360,2224,3089,3950,4785,5596,6368,7094,7759,8361,8895,9365,9772,
10118,10387,10587,10723,10805,10836,10828,10779,10684,10548,10390,10210,10011,9797,9560,9304,9038,8764,8488,8211,
7925,7627,7331,7031,6741,6456,6175,5892,5608,5329,5057,4801,4552,4302,4054,3814,3579,3360,3145,2934,
2724,2516,2311,2117,1930,1746,1561,1373,1190,1009,836,668,493,318,139,-36,-201,-366,-533,-701,
-871,-1041,-1207,-1367,-1527,-1686,-1851,-2014,-2175,-2331,-2487,-2646,-2811,-2977,-3148,-3312,-3478,-3647,-3823,-4008,
-4192,-4376,-4557,-4748,-4941,-5140,-5347,-5551,-5759,-5960,-6168,-6385,-6603,-6823,-7034,-7244,-7453,-7663,-7874,-8085,
-8282,-8474,-8651,-8826,-9001,-9161,-9308,-9434,-9541,-9630,-9708,-9769,-9808,-9810,-9776,-9712,-9616,-9482,-9310,-9082,
-8801,-8465,-8069,-7622,-7119,-6544,-5914,-5218,-4473,-3683,-2854,-1997,-1116,-228,656,1517,2348,3141,3879,4557,
5169,5714,6185,6592,6922,7175,7364,7484,7544,7561,7525,7440,7315,7151,6965,6760,6533,6290,6029,5752,
5470,5190,4908,4625,4331,4034,3741,3452,3170,2888,2608,2326,2041,1767,1504,1244,984,724,463,210,
-34,-274,-508,-748,-988,-1224,-1455,-1677,-1889,-2112,-2334,-2558,-2777,-2988,-3198,-3409,-3621,-3837,-4050,-4250,
-4447,-4635,-4832,-5021,-5206,-5377,-5534,-5677,-5816,-5942,-6058,-6149,-6211,-6252,-6263,-6251,-6213,-6134,-6014,-5849,
-5633,-5370,-5062,-4690,-4265,-3772,-3227,-2624,-1968,-1263,-513,274,1094,1931,2774,3619,4454,5256,6027,6752,
7432,8053,8618,9115,9542,9894,10182,10407,10576,10682,10725,10719,10667,10586,10471,10329,10156,9958,9740,9512,
9278,9036,8783,8516,8242,7969,7696,7428,7156,6880,6602,6323,6055,5793,5533,5275,5012,4753,4506,4262,
4030,3797,3566,3333,3110,2896,2696,2493,2291,2093,1895,1709,1528,1353,1179,1002,824,657,493,331,
169,2,-163,-331,-488,-650,-807,-968,-1138,-1303,-1465,-1625,-1787,-1946,-2117,-2290,-2458,-2630,-2796,-2963,
-3142,-3323,-3505,-3685,-3861,-4043,-4231,-4419,-4616,-4807,-4998,-5188,-5387,-5589,-5795,-5999,-6210,-6411,-6616,-6824,
-7041,-7256,-7462,-7665,-7863,-8064,-8261,-8460,-8643,-8813,-8968,-9109,-9245,-9368,-9466,-9536,-9583,-9601,-9597,-9564,
-9498,-9390,-9233,-9030,-8781,-8490,-8145,-7740,-7274,-6750,-6170,-5542,-4862,-4133,-3365,-2552,-1716,-869,-18,830,
1658,2451,3206,3909,4560,5148,5669,6121,6502,6812,7055,7237,7358,7413,7406,7356,7267,7140,6981,6794,
6579,6340,6089,5832,5570,5294,5015,4722,4437,4154,3873,3596,3317,3033,2748,2473,2203,1937,1673,1403,
1137,872,616,367,116,-136,-389,-644,-884,-1120,-1354,-1590,-1825,-2056,-2282,-2501,-2713,-2926,-3145,-3365,
-3577,-3779,-3977,-4178,-4373,-4573,-4765,-4947,-5121,-5287,-5449,-5608,-5755,-5888,-6001,-6095,-6173,-6233,-6267,-6277,
-6247,-6177,-6072,-5928,-5736,-5498,-5202,-4844,-4431,-3957,-3427,-2840,-2197,-1504,-764,9,810,1635,2470,3304,
4120,4915,5685,6419,7102,7733,8302,8806,9251,9629,9947,10204,10388,10512,10582,10610,10592,10535,10436,10298,
10127,9939,9737,9518,9278,9020,8753,8482,8209,7934,7656,7368,7079,6792,6512,6244,5976,5708,5444,5178,
4924,4678,4439,4205,3971,3732,3509,3291,3080,2872,2664,2454,2251,2051,1859,1673,1488,1295,1106,921,
748,576,401,228,53,-117,-285,-443,-606,-768,-933,-1092,-1251,-1406,-1559,-1712,-1871,-2032,-2191,-2345,
-2502,-2661,-2830,-3001,-3174,-3342,-3513,-3688,-3869,-4057,-4247,-4437,-4627,-4815,-5014,-5215,-5417,-5626,-5824,-6027,
-6225,-6433,-6647,-6856,-7060,-7258,-7456,-7654,-7853,-8049,-8236,-8415,-8581,-8744,-8904,-9055,-9193,-9308,-9403,-9482,
-9542,-9586,-9598,-9582,-9525,-9432,-9303,-9135,-8916,-8646,-8310,-7923,-7473,-6971,-6404,-5785,-5101,-4367,-3588,-2773,
-1929,-1065,-192,673,1529,2353,3138,3869,4554,5164,5710,6190,6602,6950,7227,7430,7570,7649,7674,7654,
7586,7476,7327,7148,6941,6718,6481,6227,5956,5674,5386,5102,4814,4526,4235,3942,3648,3363,3087,2810,
2538,2261,1990,1723,1464,1210,960,707,453,203,-43,-277,-515,-749,-992,-1232,-1466,-1689,-1917,-2139,
-2371,-2602,-2826,-3045,-3258,-3473,-3693,-3910,-4123,-4329,-4520,-4712,-4900,-5088,-5268,-5433,-5584,-5726,-5852,-5972,
-6077,-6162,-6220,-6248,-6250,-6228,-6174,-6083,-5946,-5759,-5521,-5237,-4895,-4499,-4035,-3506,-2918,-2271,-1577,-827,
-39,781,1625,2483,3340,4193,5018,5814,6565,7269,7912,8498,9018,9474,9848,10155,10397,10578,10705,10777,
10790,10761,10685,10582,10450,10295,10108,9898,9668,9429,9181,8931,8664,8391,8101,7815,7531,7246,6962,6674,
6381,6095,5812,5543,5276,5012,4749,4485,4234,3994,3760,3532,3306,3080,2864,2653,2455,2258,2062,1865,
1675,1487,1310,1131,955,776,600,423,255,89,-81,-250,-423,-596,-764,-930,-1090,-1257,-1424,-1592,
-1757,-1916,-2071,-2234,-2399,-2564,-2728,-2892,-3054,-3220,-3388,-3560,-3739,-3913,-4090,-4266,-4452,-4642,-4836,-5032,
-5225,-5420,-5620,-5825,-6042,-6255,-6468,-6676,-6887,-7103,-7324,-7541,-7751,-7956,-8152,-8350,-8546,-8736,-8914,-9075,
-9226,-9365,-9489,-9601,-9695,-9761,-9799,-9812,-9801,-9769,-9701,-9586,-9432,-9229,-8981,-8689,-8341,-7935,-7465,-6931,
-6342,-5699,-5000,-4254,-3456,-2623,-1764,-884,-4,865,1719,2537,3316,4036,4697,5294,5822,6276,6658,6967,
7210,7390,7505,7558,7557,7505,7410,7284,7125,6939,6723,6486,6239,5981,5719,5447,5165,4877,4584,4297,
4013,3732,3447,3158,2870,2589,2315,2043,1777,1506,1231,970,715,464,218,-29,-278,-522,-763,-989,
-1216,-1445,-1671,-1901,-2122,-2336,-2548,-2760,-2975,-3191,-3403,-3612,-3813,-4011,-4216,-4419,-4617,-4810,-4988,-5162,
-5326,-5487,-5639,-5780,-5894,-5993,-6074,-6136,-6177,-6188,-6163,-6107,-6004,-5868,-5692,-5467,-5189,-4854,-4463,-4018,
-3515,-2954,-2339,-1668,-955,-194,596,1411,2239,3075,3903,4713,5496,6252,6967,7627,8227,8767,9241,9650,
9993,10271,10480,10623,10706,10744,10740,10693,10600,10474,10309,10130,9930,9720,9487,9243,8984,8721,8460,8195,
7927,7649,7374,7090,6817,6549,6286,6020,5752,5487,5228,4979,4732,4490,4245,4003,3766,3539,3319,3102,
2890,2672,2459,2260,2065,1876,1685,1496,1308,1128,951,783,615,445,273,105,-59,-220,-377,-540,
-704,-874,-1033,-1191,-1350,-1510,-1675,-1839,-2005,-2173,-2333,-2500,-2671,-2849,-3026,-3204,-3376,-3554,-3736,-3923,
-4113,-4300,-4490,-4677,-4869,-5067,-5267,-5470,-5668,-5864,-6066,-6276,-6485,-6696,-6906,-7107,-7310,-7515,-7722,-7929,
-8126,-8314,-8498,-8669,-8840,-9004,-9154,-9283,-9392,-9476,-9552,-9603,-9629,-9620,-9575,-9492,-9375,-9219,-9023,-8773,
-8465,-8103,-7681,-7211,-6689,-6105,-5466,-4772,-4035,-3262,-2455,-1628,-787,60,898,1714,2500,3247,3938,4575,
5145,5651,6091,6465,6771,7008,7178,7284,7336,7338,7294,7198,7066,6897,6705,6492,6259,6017,5755,5481,
5204,4922,4648,4366,4079,3791,3504,3221,2951,2678,2410,2135,1858,1592,1329,1076,818,563,302,46,
-207,-451,-691,-933,-1177,-1419,-1657,-1882,-2109,-2333,-2559,-2784,-3005,-3218,-3422,-3628,-3834,-4045,-4245,-4439,
-4626,-4804,-4980,-5157,-5326,-5483,-5625,-5753,-5869,-5978,-6067,-6142,-6186,-6198,-6184,-6140,-6064,-5948,-5784,-5567,
-5299,-4980,-4606,-4176,-3687,-3136,-2525,-1863,-1155,-406,377,1186,2012,2836,3662,4468,5252,5999,6701,7354,
7956,8502,8986,9406,9756,10037,10256,10419,10536,10599,10611,10574,10497,10392,10260,10102,9919,9706,9474,9234,
8986,8730,8461,8184,7904,7613,7329,7053,6773,6494,6208,5931,5660,5400,5147,4894,4644,4398,4155,3924,
3702,3481,3260,3043,2833,2627,2429,2231,2036,1842,1645,1455,1273,1092,912,729,548,371,197,28,
-139,-307,-479,-648,-813,-974,-1131,-1291,-1452,-1619,-1775,-1930,-2085,-2240,-2398,-2565,-2726,-2891,-3054,-3219,
-3395,-3575,-3753,-3938,-4117,-4300,-4488,-4684,-4885,-5090,-5286,-5488,-5688,-5893,-6106,-6318,-6528,-6733,-6935,-7142,
-7352,-7556,-7760,-7950,-8135,-8318,-8497,-8670,-8837,-8984,-9120,-9239,-9353,-9453,-9533,-9584,-9607,-9601,-9573,-9513,
-9421,-9289,-9102,-8865,-8581,-8249,-7862,-7410,-6897,-6323,-5686,-5001,-4269,-3492,-2675,-1831,-969,-104,755,1600,
2415,3191,3912,4577,5181,5720,6191,6590,6920,7179,7375,7514,7596,7620,7589,7513,7398,7254,7085,6885,
6658,6410,6153,5888,5616,5342,5056,4763,4469,4179,3891,3608,3324,3038,2754,2475,2205,1944,1677,1414,
1154,895,642,402,159,-83,-331,-575,-810,-1041,-1268,-1496,-1728,-1958,-2188,-2411,-2627,-2846,-3069,-3290,
-3512,-3725,-3934,-4139,-4344,-4548,-4748,-4937,-5118,-5284,-5443,-5599,-5738,-5867,-5979,-6061,-6126,-6178,-6203,-6202,
-6166,-6086,-5969,-5810,-5610,-5363,-5056,-4695,-4273,-3793,-3259,-2663,-2010,-1306,-554,235,1056,1898,2746,3591,
4426,5231,6008,6741,7425,8056,8618,9116,9541,9904,10201,10432,10592,10691,10740,10741,10708,10637,10525,10378,
10204,10012,9807,9587,9352,9103,8839,8569,8299,8030,7756,7475,7187,6899,6613,6336,6060,5787,5510,5238,
4972,4714,4466,4218,3971,3729,3492,3267,3048,2836,2624,2419,2213,2014,1830,1643,1460,1278,1092,916,
742,571,405,236,63,-110,-277,-440,-603,-773,-942,-1111,-1278,-1441,-1601,-1765,-1931,-2099,-2268,-2426,
-2590,-2752,-2920,-3091,-3270,-3441,-3611,-3782,-3958,-4143,-4327,-4515,-4699,-4884,-5079,-5275,-5478,-5684,-5886,-6087,
-6294,-6505,-6720,-6939,-7153,-7364,-7571,-7781,-7988,-8200,-8403,-8590,-8763,-8939,-9101,-9256,-9398,-9520,-9618,-9696,
-9755,-9796,-9811,-9791,-9732,-9639,-9513,-9347,-9141,-8879,-8567,-8192,-7765,-7279,-6740,-6146,-5489,-4773,-4015,-3217,
-2389,-1536,-669,197,1059,1895,2698,3455,4163,4805,5379,5883,6318,6688,6981,7209,7368,7463,7502,7494,
7439,7344,7203,7031,6835,6619,6387,6142,5884,5610,5329,5048,4773,4491,4211,3915,3625,3338,3058,2781,
2508,2230,1950,1677,1407,1146,888,626,370,109,-139,-386,-622,-862,-1100,-1340,-1571,-1791,-2010,-2226,
-2446,-2671,-2886,-3099,-3302,-3507,-3709,-3918,-4127,-4328,-4520,-4706,-4892,-5073,-5253,-5423,-5576,-5713,-5842,-5958,
-6062,-6140,-6195,-6223,-6219,-6192,-6127,-6024,-5878,-5679,-5432,-5133,-4783,-4383,-3920,-3398,-2819,-2190,-1507,-784,
-22,770,1585,2406,3231,4043,4840,5607,6337,7018,7651,8233,8755,9216,9605,9926,10182,10374,10513,10597,
10630,10606,10543,10446,10321,10168,9987,9781,9554,9311,9067,8816,8558,8289,8010,7731,7457,7183,6915,6644,
6366,6093,5826,5570,5316,5064,4810,4564,4322,4083,3853,3628,3403,3175,2953,2741,2534,2332,2129,1930,
1730,1540,1351,1171,992,812,632,458,288,124,-42,-203,-372,-536,-700,-857,-1013,-1170,-1335,-1496,
-1659,-1815,-1972,-2132,-2299,-2466,-2637,-2807,-2976,-3149,-3323,-3506,-3693,-3875,-4058,-4247,-4433,-4626,-4823,-5027,
-5219,-5412,-5610,-5812,-6018,-6224,-6425,-6629,-6828,-7031,-7235,-7442,-7645,-7839,-8026,-8214,-8402,-8582,-8754,-8915,
-9057,-9191,-9315,-9423,-9513,-9578,-9611,-9619,-9600,-9548,-9464,-9336,-9166,-8943,-8674,-8353,-7984,-7556,-7066,-6518,
-5912,-5257,-4557,-3809,-3028,-2210,-1381,-536,301,1128,1932,2703,3430,4108,4726,5285,5778,6201,6554,6841,
7061,7225,7330,7374,7362,7304,7208,7077,6913,6724,6507,6267,6013,5752,5485,5215,4934,4648,4360,4073,
3792,3514,3236,2957,2679,2403,2139,1876,1619,1358,1096,836,582,335,91,-158,-405,-654,-896,-1135,
-1362,-1594,-1827,-2063,-2288,-2515,-2732,-2947,-3164,-3385,-3598,-3804,-4002,-4197,-4391,-4582,-4765,-4946,-5112,-5266,
-5414,-5555,-5684,-5803,-5897,-5969,-6027,-6060,-6073,-6055,-6006,-5913,-5776,-5600,-5377,-5103,-4776,-4386,-3942,-3437,
-2881,-2267,-1601,-888,-134,655,1465,2291,3118,3936,4733,5502,6232,6924,7562,8147,8672,9132,9525,9860,
10133,10347,10497,10587,10632,10631,10593,10523,10419,10277,10109,9921,9718,9503,9270,9021,8758,8489,8217,7942,
7669,7387,7102,6814,6535,6258,5991,5723,5450,5188,4929,4680,4440,4207,3974,3740,3514,3297,3088,2882,
2679,2476,2275,2079,1891,1705,1524,1339,1154,970,793,622,449,273,96,-76,-248,-415,-582,-746,
-917,-1086,-1251,-1411,-1569,-1724,-1886,-2049,-2212,-2373,-2532,-2690,-2855,-3024,-3197,-3368,-3542,-3715,-3896,-4078,
-4269,-4460,-4654,-4843,-5041,-5244,-5451,-5660,-5869,-6075,-6281,-6492,-6704,-6923,-7132,-7333,-7535,-7736,-7933,-8129,
-8316,-8494,-8658,-8811,-8958,-9098,-9221,-9325,-9405,-9468,-9512,-9535,-9529,-9497,-9418,-9305,-9154,-8962,-8724,-8438,
-8089,-7687,-7223,-6703,-6133,-5499,-4811,-4071,-3288,-2475,-1638,-785,71,921,1749,2548,3306,4011,4661,5249,
5766,6215,6594,6910,7157,7341,7456,7516,7528,7494,7417,7301,7151,6966,6758,6534,6297,6048,5780,5502,
5218,4936,4646,4366,4076,3785,3488,3197,2915,2637,2359,2080,1806,1532,1270,1013,756,507,253,-1,
-246,-487,-717,-953,-1187,-1424,-1653,-1876,-2097,-2318,-2538,-2765,-2990,-3211,-3423,-3635,-3846,-4057,-4270,-4477,
-4674,-4866,-5050,-5235,-5410,-5573,-5720,-5853,-5973,-6076,-6163,-6227,-6264,-6269,-6247,-6193,-6108,-5983,-5803,-5580,
-5305,-4972,-4594,-4155,-3662,-3105,-2492,-1830,-1120,-364,426,1243,2075,2918,3751,4575,5369,6130,6844,7505,
8113,8656,9141,9559,9906,10181,10391,10541,10634,10679,10674,10618,10525,10402,10255,10084,9893,9675,9445,9199,
8953,8699,8439,8167,7894,7607,7329,7058,6783,6507,6230,5952,5678,5413,5151,4894,4631,4378,4128,3886,
3653,3422,3194,2967,2748,2532,2329,2131,1936,1740,1547,1359,1177,1004,830,658,480,308,143,-23,
-184,-348,-514,-679,-844,-1006,-1168,-1333,-1495,-1662,-1827,-1990,-2149,-2312,-2478,-2649,-2818,-2986,-3155,-3324,
-3496,-3675,-3859,-4038,-4216,-4394,-4578,-4765,-4958,-5150,-5346,-5541,-5735,-5936,-6143,-6351,-6556,-6762,-6967,-7175,
-7386,-7596,-7806,-8006,-8200,-8391,-8580,-8768,-8943,-9100,-9246,-9371,-9488,-9589,-9670,-9728,-9753,-9748,-9716,-9656,
-9562,-9425,-9243,-9010,-8731,-8402,-8023,-7588,-7092,-6538,-5923,-5257,-4548,-3789,-2994,-2163,-1311,-454,404,1250,
2068,2857,3599,4285,4914,5482,5980,6405,6760,7040,7259,7414,7507,7546,7530,7466,7357,7221,7055,6864,
6643,6409,6150,5893,5627,5357,5082,4797,4512,4227,3948,3668,3394,3112,2829,2550,2276,2009,1746,1480,
1212,944,684,431,178,-71,-320,-571,-815,-1053,-1283,-1511,-1742,-1972,-2194,-2412,-2624,-2837,-3049,-3260,
-3471,-3674,-3872,-4065,-4254,-4449,-4639,-4823,-4996,-5156,-5315,-5462,-5601,-5729,-5835,-5925,-5989,-6032,-6054,-6050,
-6009,-5926,-5807,-5640,-5427,-5168,-4855,-4481,-4049,-3562,-3022,-2425,-1778,-1085,-348,422,1218,2028,2847,3662,
4461,5233,5973,6679,7339,7946,8491,8978,9401,9764,10064,10306,10485,10597,10660,10674,10648,10585,10485,10348,
10182,9994,9786,9566,9332,9083,8814,8547,8271,7997,7725,7444,7160,6877,6603,6329,6066,5804,5538,5275,
5020,4774,4533,4298,4063,3829,3597,3374,3156,2944,2733,2523,2314,2107,1908,1717,1526,1335,1145,953,
774,598,426,248,71,-101,-270,-436,-598,-761,-926,-1092,-1256,-1417,-1571,-1730,-1891,-2055,-2221,-2381,
-2546,-2710,-2877,-3053,-3232,-3408,-3588,-3765,-3953,-4143,-4338,-4531,-4729,-4920,-5115,-5317,-5523,-5731,-5936,-6140,
-6343,-6546,-6753,-6963,-7166,-7369,-7563,-7760,-7954,-8150,-8339,-8514,-8683,-8844,-8997,-9139,-9275,-9385,-9479,-9550,
-9605,-9641,-9649,-9627,-9565,-9464,-9323,-9143,-8918,-8647,-8317,-7927,-7481,-6984,-6431,-5824,-5161,-4451,-3693,-2903,
-2088,-1260,-423,410,1229,2020,2774,3485,4143,4741,5280,5752,6158,6502,6778,6987,7136,7224,7260,7247,
7191,7096,6960,6789,6594,6376,6145,5900,5639,5365,5081,4799,4517,4235,3952,3665,3378,3092,2815,2542,
2273,2006,1733,1469,1208,958,706,459,205,-44,-290,-531,-764,-1001,-1242,-1482,-1716,-1942,-2171,-2390,
-2614,-2841,-3066,-3288,-3500,-3703,-3915,-4121,-4325,-4518,-4705,-4882,-5052,-5220,-5382,-5533,-5666,-5781,-5882,-5968,
-6042,-6089,-6114,-6108,-6063,-5992,-5887,-5747,-5555,-5314,-5019,-4673,-4268,-3811,-3298,-2723,-2097,-1422,-701,56,
848,1656,2477,3300,4111,4903,5666,6389,7065,7687,8250,8758,9201,9582,9899,10147,10333,10465,10550,10587,
10579,10523,10431,10312,10169,10008,9823,9619,9394,9155,8911,8662,8403,8139,7861,7580,7300,7022,6753,6475,
6196,5920,5645,5381,5124,4866,4614,4366,4121,3887,3661,3442,3224,3007,2796,2592,2393,2200,2011,1819,
1631,1444,1264,1088,916,736,562,381,210,39,-129,-298,-472,-649,-815,-983,-1147,-1312,-1479,-1647,
-1813,-1979,-2138,-2297,-2460,-2630,-2801,-2968,-3131,-3302,-3471,-3649,-3832,-4013,-4195,-4377,-4561,-4754,-4952,-5151,
-5350,-5552,-5755,-5960,-6171,-6387,-6603,-6809,-7016,-7224,-7438,-7651,-7851,-8046,-8238,-8416,-8595,-8768,-8929,-9076,
-9201,-9313,-9409,-9489,-9550,-9588,-9598,-9574,-9520,-9438,-9324,-9163,-8955,-8698,-8389,-8034,-7626,-7157,-6632,-6048,
-5406,-4717,-3982,-3206,-2395,-1557,-707,144,986,1805,2594,3338,4034,4670,5242,5751,6195,6568,6870,7104,
7275,7389,7448,7451,7408,7322,7199,7044,6870,6668,6451,6205,5949,5687,5421,5148,4868,4582,4294,4006,
3723,3441,3160,2879,2591,2306,2032,1764,1497,1235,965,705,447,198,-48,-291,-537,-780,-1022,-1251,
-1479,-1702,-1926,-2151,-2379,-2593,-2807,-3018,-3232,-3448,-3664,-3876,-4081,-4279,-4476,-4672,-4868,-5056,-5233,-5394,
-5552,-5699,-5831,-5953,-6054,-6130,-6183,-6212,-6214,-6189,-6125,-6018,-5868,-5679,-5440,-5152,-4812,-4413,-3952,-3437,
-2869,-2248,-1577,-860,-102,684,1496,2320,3149,3968,4769,5546,6285,6981,7634,8223,8753,9215,9611,9943,
10213,10419,10566,10651,10682,10667,10612,10524,10403,10248,10063,9860,9644,9419,9179,8927,8663,8396,8122,7853,
7582,7308,7029,6749,6475,6207,5942,5679,5414,5152,4893,4642,4395,4159,3914,3678,3442,3218,2996,2783,
2572,2361,2152,1952,1758,1570,1384,1196,1013,833,657,487,323,152,-17,-186,-353,-511,-670,-832,
-994,-1160,-1323,-1486,-1648,-1809,-1969,-2140,-2306,-2473,-2637,-2807,-2976,-3153,-3330,-3510,-3687,-3868,-4044,-4232,
-4423,-4614,-4801,-4992,-5182,-5377,-5574,-5778,-5982,-6179,-6379,-6580,-6788,-6998,-7203,-7406,-7609,-7805,-8007,-8203,
-8399,-8582,-8753,-8914,-9073,-9218,-9349,-9464,-9555,-9622,-9667,-9692,-9691,-9658,-9583,-9467,-9312,-9116,-8877,-8582,
-8236,-7832,-7369,-6852,-6284,-5663,-4986,-4261,-3491,-2692,-1863,-1021,-170,673,1504,2303,3069,3783,4448,5047,
5585,6056,6462,6797,7067,7269,7406,7481,7501,7472,7405,7296,7148,6968,6763,6540,6304,6053,5792,5517,
5238,4955,4674,4395,4117,3834,3551,3272,2995,2727,2459,2188,1920,1649,1388,1131,876,623,363,109,
-142,-389,-631,-870,-1113,-1355,-1595,-1822,-2049,-2270,-2493,-2715,-2935,-3150,-3357,-3564,-3764,-3968,-4171,-4364,
-4547,-4726,-4897,-5067,-5230,-5385,-5529,-5653,-5766,-5863,-5946,-6012,-6046,-6053,-6029,-5970,-5879,-5751,-5573,-5350,
-5068,-4734,-4347,-3903,-3398,-2839,-2222,-1558,-849,-102,676,1476,2291,3105,3912,4700,5466,6195,6884,7515,
8100,8625,9093,9496,9837,10111,10322,10480,10588,10645,10654,10620,10539,10432,10296,10133,9953,9747,9520,9282,
9029,8776,8514,8243,7962,7678,7395,7117,6839,6563,6288,6012,5741,5483,5224,4976,4725,4476,4235,3998,
3771,3552,3331,3113,2898,2684,2481,2283,2081,1884,1688,1493,1304,1116,934,753,569,387,207,35,
-137,-310,-481,-653,-824,-990,-1151,-1312,-1476,-1640,-1808,-1966,-2124,-2283,-2447,-2614,-2784,-2955,-3126,-3296,
-3472,-3654,-3841,-4027,-4216,-4406,-4597,-4795,-4996,-5204,-5406,-5611,-5808,-6019,-6231,-6445,-6653,-6864,-7065,-7268,
-7477,-7678,-7878,-8069,-8253,-8433,-8604,-8774,-8933,-9081,-9213,-9328,-9430,-9519,-9587,-9633,-9653,-9643,-9604,-9534,
-9433,-9292,-9099,-8857,-8567,-8225,-7831,-7382,-6874,-6303,-5683,-5007,-4291,-3534,-2743,-1927,-1093,-254,574,1385,
2167,2912,3607,4246,4827,5346,5804,6194,6518,6778,6975,7111,7197,7228,7207,7137,7036,6897,6734,6542,
6333,6098,5847,5587,5321,5049,4769,4483,4193,3904,3622,3342,3065,2782,2503,2227,1952,1691,1433,1173,
914,655,407,162,-79,-317,-556,-798,-1036,-1266,-1491,-1718,-1945,-2170,-2398,-2619,-2835,-3049,-3261,-3477,
-3694,-3905,-4105,-4302,-4495,-4684,-4868,-5044,-5210,-5361,-5499,-5627,-5749,-5849,-5930,-5984,-6020,-6027,-6011,-5962,
-5880,-5755,-5583,-5373,-5116,-4810,-4452,-4036,-3563,-3033,-2450,-1820,-1134,-411,348,1139,1940,2758,3571,4372,
5155,5900,6609,7274,7889,8445,8939,9367,9727,10022,10259,10441,10564,10627,10646,10620,10564,10472,10352,10200,
10024,9824,9618,9398,9172,8927,8671,8408,8143,7876,7612,7340,7058,6783,6503,6234,5968,5704,5438,5174,
4914,4660,4415,4175,3937,3703,3471,3247,3034,2827,2619,2416,2216,2018,1829,1648,1464,1283,1100,920,
747,577,405,237,64,-109,-280,-449,-615,-782,-952,-1121,-1292,-1458,-1622,-1790,-1954,-2122,-2292,-2462,
-2627,-2795,-2965,-3142,-3315,-3496,-3674,-3848,-4029,-4212,-4401,-4594,-4785,-4974,-5167,-5367,-5568,-5775,-5982,-6189,
-6393,-6606,-6816,-7032,-7243,-7452,-7654,-7852,-8052,-8247,-8435,-8615,-8780,-8932,-9074,-9206,-9328,-9425,-9495,-9545,
-9571,-9572,-9548,-9489,-9393,-9259,-9083,-8864,-8602,-8288,-7922,-7497,-7018,-6483,-5892,-5258,-4571,-3833,-3059,-2253,
-1431,-597,241,1070,1875,2650,3384,4064,4685,5245,5739,6163,6522,6815,7045,7214,7313,7359,7356,7309,
7221,7097,6940,6753,6546,6317,6081,5836,5574,5305,5031,4752,4472,4192,3914,3634,3345,3062,2784,2510,
2239,1964,1689,1415,1147,883,626,369,113,-145,-396,-643,-882,-1119,-1354,-1592,-1823,-2048,-2270,-2484,
-2703,-2922,-3137,-3353,-3559,-3762,-3966,-4170,-4371,-4572,-4762,-4945,-5117,-5287,-5456,-5610,-5751,-5874,-5982,-6072,
-6148,-6202,-6225,-6214,-6167,-6085,-5970,-5807,-5599,-5340,-5028,-4661,-4238,-3758,-3226,-2630,-1988,-1296,-565,200,
991,1803,2622,3438,4245,5026,5781,6498,7169,7789,8349,8852,9294,9670,9984,10226,10405,10532,10607,10634,
10618,10553,10450,10316,10154,9977,9775,9550,9317,9062,8806,8543,8278,8008,7729,7445,7170,6892,6623,6352,
6081,5811,5546,5286,5037,4789,4544,4298,4055,3818,3591,3368,3147,2926,2707,2494,2286,2085,1889,1692,
1495,1303,1113,936,758,582,406,230,58,-107,-269,-433,-598,-766,-929,-1087,-1245,-1405,-1562,-1725,
-1889,-2050,-2210,-2369,-2537,-2702,-2877,-3047,-3221,-3397,-3571,-3752,-3941,-4128,-4313,-4500,-4688,-4883,-5079,-5279,
-5479,-5672,-5869,-6066,-6272,-6478,-6682,-6884,-7085,-7281,-7484,-7685,-7888,-8080,-8267,-8444,-8620,-8794,-8960,-9110,
-9245,-9365,-9467,-9560,-9630,-9679,-9692,-9675,-9628,-9550,-9439,-9284,-9079,-8825,-8517,-8161,-7748,-7282,-6760,-6174,
-5536,-4847,-4119,-3347,-2548,-1724,-882,-41,794,1613,2399,3148,3850,4493,5075,5599,6057,6446,6768,7024,
7216,7347,7425,7446,7419,7342,7225,7076,6903,6704,6477,6237,5979,5711,5441,5168,4885,4603,4314,4024,
3741,3467,3190,2914,2641,2365,2096,1834,1576,1318,1056,798,546,294,51,-195,-440,-687,-930,-1171,
-1405,-1632,-1865,-2099,-2330,-2554,-2773,-2988,-3202,-3417,-3626,-3836,-4035,-4230,-4416,-4605,-4785,-4960,-5123,-5275,
-5414,-5547,-5666,-5774,-5862,-5925,-5968,-5989,-5985,-5953,-5883,-5774,-5624,-5423,-5182,-4888,-4543,-4142,-3679,-3159,
-2587,-1962,-1286,-566,189,976,1779,2593,3400,4204,4983,5732,6442,7107,7727,8294,8798,9238,9611,9927,
10180,10375,10515,10599,10633,10625,10581,10503,10397,10253,10082,9892,9686,9466,9234,8990,8729,8459,8186,7913,
7636,7359,7076,6788,6511,6230,5958,5694,5428,5160,4904,4650,4409,4173,3940,3708,3481,3256,3044,2836,
2632,2428,2223,2025,1830,1641,1457,1267,1082,895,711,531,356,177,4,-178,-353,-529,-698,-869,
-1038,-1210,-1383,-1547,-1710,-1872,-2036,-2204,-2373,-2537,-2706,-2868,-3038,-3209,-3387,-3569,-3743,-3924,-4107,-4295,
-4486,-4680,-4878,-5074,-5273,-5476,-5684,-5894,-6101,-6310,-6520,-6729,-6939,-7152,-7363,-7567,-7767,-7960,-8152,-8342,
-8525,-8696,-8854,-9000,-9137,-9266,-9381,-9483,-9555,-9608,-9635,-9647,-9626,-9578,-9494,-9372,-9209,-9002,-8755,-8456,
-8104,-7695,-7227,-6705,-6131,-5504,-4826,-4102,-3338,-2544,-1730,-903,-78,744,1545,2318,3045,3726,4353,4915,
5413,5846,6218,6521,6767,6949,7070,7135,7149,7119,7051,6946,6804,6631,6435,6218,5989,5748,5494,5227,
4952,4671,4389,4112,3831,3543,3255,2970,2687,2413,2142,1869,1595,1327,1064,806,555,305,54,-193,
-439,-679,-909,-1140,-1371,-1602,-1831,-2052,-2270,-2488,-2705,-2922,-3140,-3357,-3564,-3768,-3972,-4178,-4382,-4579,
-4767,-4947,-5117,-5280,-5436,-5583,-5711,-5822,-5909,-5985,-6038,-6070,-6076,-6043,-5978,-5874,-5733,-5556,-5326,-5048,
-4717,-4333,-3896,-3409,-2863,-2270,-1624,-930,-199,565,1352,2156,2967,3770,4554,5326,6059,6757,7402,7996,
8531,9010,9423,9779,10064,10286,10445,10550,10604,10619,10587,10519,10408,10272,10112,9937,9741,9527,9296,9054,
8805,8556,8297,8035,7769,7497,7224,6955,6688,6423,6153,5881,5616,5358,5103,4852,4605,4357,4111,3873,
3641,3416,3196,2975,2759,2546,2344,2144,1951,1761,1569,1380,1198,1024,850,676,501,329,162,-10,
-171,-339,-505,-673,-843,-1011,-1171,-1337,-1502,-1669,-1836,-2006,-2171,-2336,-2503,-2675,-2848,-3024,-3199,-3371,
-3549,-3731,-3913,-4098,-4284,-4468,-4652,-4844,-5038,-5238,-5432,-5631,-5827,-6027,-6231,-6440,-6647,-6852,-7052,-7255,
-7460,-7665,-7866,-8059,-8246,-8427,-8600,-8763,-8925,-9066,-9191,-9299,-9388,-9461,-9512,-9539,-9529,-9491,-9415,-9309,
-9168,-8986,-8752,-8470,-8138,-7751,-7316,-6825,-6279,-5678,-5025,-4323,-3582,-2811,-2007,-1185,-353,475,1292,2085,
2847,3562,4230,4839,5385,5867,6284,6633,6916,7130,7283,7381,7426,7418,7360,7263,7132,6965,6779,6571,
6347,6101,5843,5578,5311,5039,4764,4487,4202,3918,3637,3365,3088,2814,2535,2263,1989,1726,1461,1197,
935,674,408,153,-96,-344,-592,-843,-1087,-1324,-1558,-1787,-2014,-2244,-2471,-2696,-2909,-3120,-3333,-3542,
-3750,-3956,-4155,-4343,-4535,-4719,-4904,-5081,-5246,-5401,-5544,-5675,-5798,-5906,-5989,-6056,-6093,-6104,-6089,-6047,
-5962,-5834,-5659,-5438,-5164,-4843,-4464,-4029,-3536,-2985,-2385,-1735,-1034,-297,474,1271,2078,2893,3705,4497,
5266,5999,6697,7344,7942,8488,8972,9389,9743,10037,10271,10448,10564,10625,10641,10613,10546,10450,10320,10164,
9975,9768,9546,9313,9068,8813,8544,8267,7992,7711,7436,7162,6880,6600,6323,6051,5786,5524,5263,5009,
4755,4505,4268,4036,3804,3573,3345,3123,2907,2697,2489,2282,2076,1870,1673,1485,1293,1104,919,730,
548,370,196,23,-147,-325,-494,-661,-823,-989,-1154,-1319,-1482,-1642,-1799,-1957,-2116,-2280,-2447,-2612,
-2777,-2944,-3115,-3286,-3465,-3649,-3832,-4014,-4197,-4386,-4583,-4778,-4976,-5172,-5371,-5573,-5776,-5986,-6192,-6393,
-6598,-6800,-7004,-7211,-7416,-7614,-7809,-7996,-8186,-8371,-8552,-8724,-8884,-9030,-9168,-9299,-9416,-9514,-9592,-9649,
-9676,-9680,-9665,-9615,-9525,-9389,-9217,-8998,-8736,-8425,-8057,-7628,-7144,-6603,-6009,-5365,-4670,-3927,-3151,-2347,
-1520,-688,144,964,1767,2539,3264,3940,4564,5129,5625,6055,6418,6721,6962,7139,7257,7317,7326,7290,
7213,7099,6950,6766,6561,6338,6098,5846,5583,5309,5032,4744,4460,4178,3896,3611,3323,3037,2759,2487,
2217,1951,1684,1419,1158,902,656,408,156,-93,-341,-581,-817,-1050,-1284,-1518,-1755,-1981,-2209,-2432,
-2654,-2878,-3100,-3319,-3535,-3739,-3945,-4145,-4349,-4543,-4730,-4906,-5074,-5234,-5386,-5526,-5652,-5763,-5854,-5926,
-5982,-6017,-6023,-6001,-5943,-5852,-5724,-5552,-5337,-5071,-4752,-4377,-3953,-3473,-2937,-2346,-1705,-1016,-287,474,
1265,2072,2883,3691,4480,5248,5987,6683,7332,7931,8466,8945,9365,9721,10016,10247,10411,10524,10587,10612,
10590,10530,10435,10308,10157,9991,9804,9599,9376,9134,8889,8639,8378,8116,7843,7565,7285,7012,6737,6467,
6191,5920,5642,5378,5120,4870,4618,4367,4127,3890,3658,3434,3218,3005,2787,2580,2378,2181,1990,1799,
1607,1420,1234,1057,880,701,523,343,168,-5,-176,-347,-519,-699,-870,-1041,-1212,-1375,-1544,-1715,
-1881,-2051,-2212,-2378,-2545,-2713,-2886,-3059,-3231,-3401,-3576,-3753,-3940,-4122,-4306,-4496,-4682,-4874,-5072,-5272,
-5475,-5678,-5878,-6087,-6297,-6504,-6719,-6928,-7134,-7340,-7542,-7748,-7948,-8144,-8324,-8499,-8671,-8834,-8984,-9121,
-9243,-9341,-9428,-9498,-9551,-9579,-9574,-9539,-9470,-9372,-9238,-9068,-8849,-8586,-8269,-7900,-7485,-7012,-6486,-5905,
-5267,-4586,-3857,-3095,-2302,-1496,-670,149,964,1755,2512,3234,3899,4511,5062,5552,5976,6333,6624,6853,
7016,7127,7187,7194,7157,7076,6958,6813,6641,6444,6233,5998,5750,5493,5228,4962,4690,4412,4131,3848,
3566,3285,3005,2726,2446,2163,1891,1621,1355,1093,827,565,306,56,-195,-436,-681,-919,-1161,-1394,
-1621,-1844,-2067,-2285,-2509,-2727,-2943,-3150,-3358,-3568,-3779,-3982,-4183,-4370,-4561,-4745,-4925,-5102,-5268,-5417,
-5553,-5676,-5789,-5884,-5956,-6003,-6021,-6015,-5976,-5903,-5796,-5643,-5446,-5195,-4900,-4554,-4154,-3700,-3190,-2627,
-2014,-1357,-658,76,844,1629,2425,3221,4018,4791,5540,6251,6924,7547,8122,8639,9095,9491,9818,10084,
10293,10446,10543,10591,10581,10535,10456,10344,10210,10044,9849,9638,9416,9183,8945,8693,8432,8164,7891,7621,
7355,7088,6817,6544,6270,6006,5744,5489,5231,4972,4717,4470,4227,3992,3759,3527,3294,3067,2847,2637,
2426,2221,2014,1813,1615,1422,1238,1054,869,688,512,336,166,-5,-177,-344,-517,-682,-845,-1009,
-1174,-1345,-1508,-1675,-1839,-2001,-2162,-2333,-2505,-2678,-2849,-3020,-3195,-3370,-3555,-3738,-3921,-4107,-4290,-4478,
-4670,-4868,-5059,-5253,-5445,-5645,-5844,-6048,-6250,-6454,-6651,-6851,-7052,-7257,-7462,-7662,-7853,-8045,-8233,-8420,
-8601,-8773,-8930,-9076,-9208,-9334,-9441,-9528,-9596,-9636,-9650,-9641,-9600,-9529,-9416,-9259,-9059,-8814,-8521,-8184,
-7787,-7337,-6831,-6266,-5658,-4998,-4293,-3549,-2768,-1964,-1145,-318,497,1305,2086,2829,3531,4184,4779,5315,
5785,6192,6530,6802,7014,7167,7260,7297,7283,7225,7131,7001,6841,6653,6439,6205,5965,5713,5449,5179,
4900,4620,4341,4065,3790,3512,3235,2952,2681,2412,2150,1882,1618,1353,1091,835,582,332,81,-174,
-426,-670,-911,-1149,-1389,-1625,-1860,-2093,-2318,-2538,-2756,-2978,-3198,-3414,-3619,-3823,-4021,-4217,-4412,-4602,
-4784,-4954,-5114,-5271,-5419,-5557,-5680,-5786,-5876,-5947,-5997,-6025,-6026,-5993,-5929,-5820,-5675,-5489,-5252,-4962,
-4617,-4215,-3758,-3248,-2684,-2067,-1398,-688,61,837,1638,2446,3259,4058,4837,5593,6312,6991,7618,8187,
8699,9152,9544,9878,10149,10359,10505,10602,10654,10656,10624,10554,10444,10300,10139,9958,9758,9539,9304,9053,
8795,8531,8265,7992,7714,7431,7147,6866,6591,6319,6046,5775,5505,5245,4990,4743,4502,4256,4018,3789,
3562,3343,3126,2913,2703,2492,2288,2091,1896,1705,1511,1316,1130,946,764,586,406,224,45,-131,
-299,-469,-640,-809,-980,-1145,-1312,-1473,-1634,-1796,-1961,-2123,-2285,-2447,-2608,-2775,-2946,-3119,-3291,-3464,
-3639,-3819,-4005,-4195,-4386,-4576,-4767,-4964,-5161,-5367,-5572,-5778,-5982,-6183,-6391,-6605,-6810,-7018,-7219,-7420,
-7618,-7815,-8010,-8197,-8374,-8545,-8706,-8863,-9015,-9147,-9264,-9366,-9446,-9513,-9560,-9587,-9585,-9550,-9477,-9376,
-9238,-9058,-8834,-8552,-8222,-7840,-7400,-6914,-6371,-5762,-5108,-4401,-3658,-2880,-2074,-1251,-422,410,1223,2013,
2763,3472,4129,4733,5270,5752,6165,6513,6795,7010,7169,7272,7319,7322,7279,7192,7068,6911,6731,6529,
6308,6065,5811,5543,5273,4994,4713,4430,4139,3852,3562,3278,3000,2714,2437,2158,1883,1614,1353,1094,
834,577,320,73,-172,-413,-653,-897,-1132,-1368,-1599,-1823,-2050,-2277,-2504,-2729,-2947,-3162,-3378,-3593,
-3804,-4018,-4221,-4417,-4605,-4790,-4974,-5149,-5306,-5461,-5593,-5712,-5819,-5913,-5984,-6029,-6046,-6035,-6003,-5929,
-5825,-5679,-5487,-5251,-4960,-4623,-4237,-3791,-3288,-2737,-2131,-1481,-787,-52,708,1496,2294,3100,3895,4675,
5432,6155,6828,7457,8039,8560,9020,9415,9744,10020,10230,10385,10489,10538,10540,10499,10424,10323,10192,10032,
9853,9655,9446,9217,8984,8745,8489,8227,7963,7692,7428,7157,6884,6611,6337,6064,5799,5538,5276,5016,
4758,4503,4264,4023,3790,3557,3325,3102,2881,2675,2471,2265,2063,1866,1674,1488,1303,1124,941,760,
582,408,238,65,-108,-282,-457,-626,-798,-962,-1134,-1305,-1476,-1644,-1813,-1978,-2144,-2311,-2485,-2656,
-2827,-3001,-3171,-3345,-3525,-3705,-3888,-4066,-4248,-4436,-4625,-4816,-5010,-5204,-5396,-5594,-5794,-6003,-6209,-6412,
-6617,-6822,-7028,-7239,-7444,-7651,-7849,-8039,-8228,-8417,-8597,-8767,-8925,-9068,-9198,-9317,-9418,-9504,-9566,-9601,
-9610,-9598,-9555,-9484,-9371,-9218,-9021,-8783,-8499,-8167,-7787,-7347,-6852,-6305,-5712,-5071,-4379,-3648,-2883,-2086,
-1279,-462,350,1151,1930,2673,3371,4020,4617,5151,5622,6026,6364,6641,6854,7011,7107,7148,7138,7088,
6999,6881,6728,6544,6343,6119,5885,5641,5388,5124,4849,4572,4294,4025,3748,3471,3194,2915,2636,2363,
2089,1824,1553,1283,1019,756,502,245,-8,-262,-512,-757,-996,-1232,-1466,-1699,-1932,-2154,-2374,-2589,
-2802,-3014,-3227,-3439,-3645,-3842,-4037,-4231,-4423,-4608,-4789,-4957,-5119,-5274,-5419,-5555,-5673,-5778,-5856,-5919,
-5961,-5975,-5957,-5910,-5822,-5696,-5531,-5320,-5060,-4753,-4384,-3966,-3490,-2962,-2383,-1753,-1080,-368,376,1146,
1933,2730,3521,4302,5062,5794,6495,7154,7758,8315,8806,9241,9615,9932,10187,10381,10515,10603,10638,10635,
10591,10505,10387,10241,10068,9881,9676,9458,9218,8968,8711,8451,8189,7918,7648,7369,7097,6820,6553,6289,
6026,5762,5501,5244,4995,4749,4507,4267,4030,3797,3568,3346,3128,2911,2694,2483,2278,2072,1876,1681,
1485,1291,1102,917,740,559,380,204,28,-144,-313,-480,-646,-818,-987,-1151,-1312,-1475,-1641,-1805,
-1970,-2139,-2303,-2468,-2636,-2808,-2987,-3164,-3344,-3522,-3704,-3886,-4075,-4269,-4461,-4655,-4849,-5045,-5244,-5445,
-5649,-5850,-6051,-6252,-6455,-6661,-6867,-7070,-7267,-7460,-7656,-7855,-8045,-8229,-8405,-8575,-8735,-8893,-9036,-9171,
-9287,-9383,-9458,-9520,-9556,-9571,-9552,-9507,-9419,-9299,-9138,-8938,-8686,-8382,-8023,-7614,-7151,-6636,-6067,-5447,
-4773,-4061,-3306,-2529,-1728,-911,-93,723,1520,2282,3012,3697,4326,4897,5413,5863,6253,6577,6841,7038,
7173,7257,7288,7273,7210,7110,6972,6804,6611,6403,6175,5929,5667,5400,5127,4850,4572,4289,4003,3720,
3436,3162,2887,2616,2342,2069,1797,1537,1278,1020,766,511,256,6,-240,-481,-727,-970,-1212,-1450,
-1684,-1913,-2144,-2372,-2602,-2826,-3045,-3259,-3472,-3686,-3895,-4100,-4300,-4493,-4675,-4852,-5025,-5192,-5346,-5486,
-5608,-5725,-5821,-5909,-5970,-6009,-6019,-5998,-5948,-5869,-5747,-5586,-5376,-5119,-4816,-4456,-4042,-3573,-3047,-2464,
-1833,-1158,-437,314,1094,1889,2692,3497,4288,5057,5796,6499,7155,7759,8309,8806,9234,9603,9904,10146,
10333,10469,10547,10584,10573,10521,10434,10323,10184,10019,9830,9624,9400,9167,8929,8674,8414,8142,7866,7588,
7315,7037,6757,6476,6199,5925,5655,5392,5134,4875,4619,4369,4128,3892,3664,3434,3210,2989,2778,2568,
2366,2164,1966,1767,1572,1385,1199,1017,831,648,466,284,114,-64,-239,-414,-594,-766,-936,-1108,
-1274,-1442,-1614,-1782,-1945,-2109,-2270,-2436,-2606,-2772,-2941,-3112,-3281,-3456,-3630,-3811,-3993,-4174,-4355,-4541,
-4737,-4934,-5130,-5328,-5526,-5724,-5932,-6139,-6350,-6560,-6766,-6970,-7179,-7387,-7593,-7796,-7991,-8180,-8366,-8541,
-8720,-8884,-9038,-9172,-9296,-9411,-9507,-9589,-9650,-9682,-9687,-9670,-9621,-9551,-9439,-9283,-9087,-8842,-8555,-8214,
-7825,-7377,-6871,-6311,-5702,-5046,-4340,-3592,-2814,-2008,-1189,-364,460,1262,2045,2787,3483,4126,4712,5239,
5701,6095,6424,6694,6904,7054,7145,7182,7172,7117,7027,6906,6750,6569,6363,6137,5903,5655,5399,5130,
4852,4575,4291,4009,3731,3449,3162,2881,2599,2322,2052,1780,1513,1243,977,719,465,212,-34,-284,
-527,-769,-1007,-1235,-1463,-1696,-1927,-2149,-2370,-2583,-2800,-3013,-3229,-3445,-3651,-3855,-4056,-4252,-4449,-4641,
-4823,-4995,-5157,-5314,-5457,-5591,-5710,-5807,-5886,-5939,-5976,-5986,-5966,-5911,-5817,-5690,-5513,-5299,-5037,-4726,
-4361,-3942,-3468,-2945,-2369,-1745,-1073,-360,380,1149,1936,2729,3523,4307,5065,5801,6498,7157,7769,8321,
8816,9248,9620,9935,10186,10374,10505,10585,10617,10611,10564,10480,10362,10214,10049,9861,9657,9444,9211,8970,
8720,8465,8209,7949,7681,7411,7138,6867,6603,6339,6073,5809,5544,5285,5035,4787,4541,4296,4054,3820,
3588,3364,3144,2929,2713,2499,2295,2097,1900,1710,1517,1326,1144,961,784,610,436,259,86,-83,
-249,-419,-592,-761,-928,-1098,-1266,-1432,-1594,-1763,-1933,-2108,-2275,-2445,-2614,-2788,-2968,-3145,-3321,-3501,
-3681,-3864,-4051,-4240,-4428,-4617,-4809,-5001,-5197,-5397,-5598,-5797,-5997,-6198,-6402,-6605,-6814,-7019,-7221,-7417,
-7617,-7815,-8012,-8203,-8382,-8553,-8720,-8871,-9023,-9158,-9271,-9368,-9443,-9498,-9536,-9545,-9526,-9467,-9379,-9254,
-9097,-8891,-8644,-8343,-7990,-7586,-7130,-6625,-6065,-5456,-4799,-4095,-3355,-2590,-1802,-1000,-186,619,1412,2172,
2903,3584,4217,4789,5303,5754,6148,6471,6736,6933,7072,7155,7187,7174,7119,7017,6877,6713,6529,6323,
6094,5852,5601,5334,5068,4798,4525,4248,3967,3685,3405,3129,2857,2585,2314,2039,1767,1500,1239,977,
715,456,192,-61,-311,-558,-803,-1049,-1293,-1530,-1766,-1989,-2219,-2446,-2669,-2891,-3108,-3315,-3524,-3729,
-3932,-4135,-4327,-4510,-4695,-4864,-5033,-5196,-5348,-5485,-5604,-5715,-5805,-5886,-5942,-5972,-5972,-5947,-5888,-5793,
-5661,-5481,-5254,-4978,-4651,-4273,-3845,-3355,-2816,-2223,-1584,-898,-177,572,1346,2133,2920,3702,4473,5222,
5938,6616,7247,7832,8361,8837,9251,9602,9891,10122,10296,10419,10496,10522,10505,10448,10357,10240,10097,9925,
9735,9522,9294,9058,8815,8564,8299,8030,7754,7481,7206,6932,6660,6387,6111,5842,5583,5326,5071,4822,
4572,4330,4091,3857,3632,3406,3180,2961,2746,2539,2333,2130,1926,1729,1529,1338,1149,964,777,588,
404,227,51,-123,-296,-471,-645,-820,-987,-1149,-1318,-1485,-1649,-1813,-1977,-2140,-2304,-2468,-2636,-2810,
-2980,-3148,-3322,-3501,-3681,-3866,-4049,-4236,-4424,-4612,-4809,-5007,-5210,-5407,-5605,-5808,-6010,-6216,-6427,-6628,
-6831,-7032,-7232,-7434,-7633,-7827,-8014,-8198,-8375,-8552,-8715,-8874,-9021,-9154,-9271,-9378,-9472,-9544,-9596,-9621,
-9619,-9589,-9531,-9440,-9313,-9141,-8922,-8658,-8345,-7984,-7569,-7092,-6565,-5982,-5351,-4671,-3955,-3198,-2415,-1614,
-801,14,817,1605,2359,3074,3745,4359,4916,5413,5847,6218,6524,6768,6959,7089,7168,7188,7166,7100,
6998,6865,6702,6512,6301,6068,5825,5575,5315,5042,4768,4485,4203,3919,3640,3360,3081,2800,2522,2253,
1984,1723,1456,1196,936,679,430,185,-60,-306,-554,-794,-1028,-1263,-1494,-1723,-1953,-2185,-2407,-2629,
-2848,-3065,-3281,-3498,-3709,-3911,-4111,-4307,-4497,-4684,-4867,-5030,-5185,-5330,-5465,-5591,-5699,-5785,-5854,-5897,
-5921,-5917,-5887,-5823,-5718,-5572,-5386,-5155,-4878,-4551,-4167,-3731,-3241,-2699,-2106,-1462,-774,-52,706,1486,
2277,3078,3871,4647,5399,6119,6802,7441,8025,8558,9028,9431,9778,10066,10294,10458,10566,10631,10646,10622,
10566,10476,10354,10200,10028,9838,9635,9417,9182,8935,8682,8425,8162,7894,7625,7351,7072,6798,6522,6255,
5984,5713,5448,5186,4929,4682,4437,4192,3950,3717,3485,3265,3045,2835,2622,2415,2214,2015,1820,1632,
1441,1254,1065,886,704,527,351,174,-6,-182,-354,-526,-698,-873,-1047,-1219,-1390,-1556,-1726,-1893,
-2064,-2236,-2405,-2573,-2743,-2916,-3090,-3268,-3445,-3624,-3801,-3983,-4167,-4359,-4547,-4738,-4930,-5124,-5322,-5525,
-5729,-5938,-6139,-6344,-6549,-6764,-6979,-7185,-7391,-7592,-7793,-7990,-8186,-8374,-8552,-8721,-8877,-9029,-9170,-9294,
-9405,-9494,-9565,-9611,-9636,-9641,-9614,-9548,-9452,-9317,-9151,-8939,-8684,-8373,-8015,-7600,-7135,-6617,-6050,-5429,
-4756,-4038,-3290,-2507,-1708,-895,-79,730,1520,2285,3005,3683,4307,4872,5375,5810,6187,6499,6746,6933,
7060,7130,7155,7131,7066,6963,6824,6657,6468,6263,6037,5795,5544,5281,5013,4741,4467,4192,3910,3625,
3341,3061,2789,2509,2234,1958,1684,1415,1149,888,628,365,107,-146,-394,-637,-880,-1120,-1359,-1595,
-1820,-2045,-2267,-2487,-2710,-2929,-3139,-3352,-3558,-3758,-3965,-4162,-4362,-4550,-4732,-4907,-5080,-5242,-5395,-5532,
-5658,-5766,-5859,-5935,-5990,-6016,-6016,-5981,-5916,-5818,-5678,-5494,-5263,-4980,-4647,-4264,-3830,-3343,-2806,-2210,
-1570,-888,-171,578,1348,2132,2919,3704,4472,5220,5937,6616,7250,7831,8366,8845,9264,9617,9911,10141,
10316,10435,10505,10533,10513,10449,10358,10238,10095,9924,9729,9517,9294,9057,8820,8568,8309,8044,7771,7506,
7241,6973,6706,6435,6169,5903,5641,5386,5137,4883,4635,4391,4151,3919,3689,3460,3234,3010,2793,2584,
2378,2173,1972,1770,1575,1383,1195,1016,829,647,467,290,119,-55,-222,-393,-563,-733,-900,-1066,
-1234,-1400,-1567,-1734,-1897,-2062,-2228,-2399,-2569,-2744,-2918,-3093,-3265,-3444,-3628,-3814,-4004,-4186,-4373,-4563,
-4756,-4952,-5150,-5347,-5545,-5742,-5944,-6148,-6351,-6553,-6753,-6952,-7152,-7352,-7552,-7753,-7941,-8130,-8308,-8486,
-8657,-8819,-8966,-9101,-9224,-9331,-9429,-9504,-9557,-9581,-9577,-9548,-9486,-9391,-9257,-9082,-8859,-8592,-8277,-7917,
-7504,-7035,-6506,-5932,-5306,-4636,-3928,-3186,-2411,-1618,-814,-11,781,1558,2307,3017,3683,4298,4857,5354,
5787,6160,6469,6714,6901,7035,7116,7135,7113,7046,6943,6811,6647,6456,6241,6009,5767,5514,5255,4985,
4712,4432,4153,3872,3602,3323,3046,2770,2496,2224,1959,1693,1434,1170,906,649,396,142,-105,-354,
-605,-849,-1090,-1324,-1557,-1795,-2023,-2255,-2480,-2702,-2920,-3132,-3349,-3561,-3765,-3964,-4157,-4346,-4532,-4713,
-4884,-5046,-5193,-5334,-5463,-5582,-5683,-5762,-5823,-5862,-5877,-5864,-5827,-5750,-5635,-5483,-5280,-5035,-4748,-4400,
-4003,-3547,-3043,-2486,-1880,-1227,-534,195,954,1728,2512,3300,4080,4838,5566,6265,6922,7538,8097,8604,
9050,9434,9764,10033,10249,10405,10506,10555,10567,10540,10477,10382,10258,10106,9930,9736,9531,9310,9072,8823,
8564,8302,8039,7769,7498,7223,6948,6670,6399,6132,5867,5600,5337,5081,4829,4585,4344,4108,3872,3641,
3414,3193,2981,2769,2560,2354,2148,1952,1756,1564,1372,1182,991,808,628,448,266,83,-97,-275,
-447,-619,-791,-964,-1138,-1310,-1477,-1642,-1809,-1974,-2141,-2310,-2477,-2643,-2809,-2979,-3158,-3335,-3511,-3690,
-3871,-4055,-4244,-4434,-4629,-4822,-5017,-5212,-5414,-5623,-5829,-6031,-6238,-6441,-6647,-6855,-7063,-7270,-7469,-7664,
-7859,-8052,-8237,-8419,-8590,-8750,-8899,-9042,-9172,-9288,-9389,-9471,-9530,-9570,-9591,-9582,-9545,-9478,-9364,-9223,
-9039,-8814,-8543,-8218,-7842,-7411,-6928,-6394,-5809,-5171,-4487,-3758,-2998,-2218,-1413,-606,204,1001,1772,2517,
3218,3871,4468,5009,5487,5902,6257,6546,6776,6945,7057,7122,7132,7104,7032,6924,6783,6613,6419,6213,
5985,5743,5488,5221,4952,4678,4401,4127,3842,3556,3274,2991,2712,2439,2163,1890,1618,1354,1094,834,
580,324,69,-181,-423,-665,-903,-1141,-1379,-1611,-1837,-2061,-2283,-2507,-2727,-2947,-3166,-3379,-3586,-3790,
-3995,-4197,-4392,-4584,-4761,-4934,-5103,-5262,-5408,-5542,-5653,-5752,-5835,-5898,-5935,-5950,-5930,-5881,-5798,-5677,
-5521,-5319,-5064,-4763,-4408,-4004,-3549,-3039,-2481,-1871,-1213,-520,207,967,1746,2535,3323,4102,4867,5606,
6308,6969,7582,8144,8650,9097,9483,9816,10074,10282,10428,10529,10576,10579,10540,10467,10360,10229,10075,9902,
9706,9490,9263,9029,8785,8537,8278,8013,7745,7473,7202,6938,6666,6396,6125,5856,5594,5335,5078,4825,
4572,4325,4084,3849,3618,3388,3162,2941,2725,2513,2312,2109,1909,1711,1516,1329,1145,962,781,601,
420,244,67,-106,-274,-448,-622,-794,-964,-1133,-1304,-1475,-1645,-1815,-1984,-2151,-2319,-2489,-2663,-2836,
-3012,-3187,-3363,-3537,-3721,-3904,-4092,-4276,-4462,-4648,-4844,-5037,-5233,-5432,-5628,-5832,-6032,-6233,-6444,-6648,
-6852,-7055,-7257,-7465,-7667,-7866,-8063,-8252,-8429,-8608,-8779,-8941,-9088,-9218,-9334,-9437,-9523,-9591,-9634,-9653,
-9638,-9598,-9525,-9422,-9278,-9091,-8858,-8582,-8256,-7881,-7458,-6981,-6449,-5861,-5226,-4551,-3831,-3079,-2295,-1495,
-689,119,917,1692,2443,3146,3810,4416,4964,5456,5881,6241,6534,6766,6943,7060,7126,7139,7104,7030,
6918,6780,6613,6418,6201,5973,5730,5477,5219,4949,4676,4402,4124,3846,3570,3298,3019,2738,2465,2189,
1918,1655,1387,1121,854,592,338,87,-165,-417,-669,-913,-1150,-1389,-1622,-1850,-2079,-2308,-2526,-2745,
-2960,-3171,-3382,-3594,-3796,-3993,-4185,-4372,-4554,-4739,-4910,-5073,-5225,-5364,-5497,-5616,-5719,-5802,-5864,-5903,
-5916,-5903,-5860,-5783,-5663,-5506,-5303,-5055,-4756,-4410,-3999,-3542,-3034,-2472,-1866,-1215,-521,204,956,1730,
2510,3295,4063,4817,5546,6242,6894,7505,8066,8573,9014,9402,9735,10006,10217,10377,10480,10532,10542,10511,
10448,10349,10221,10066,9888,9692,9483,9260,9026,8778,8515,8254,7992,7725,7458,7183,6914,6644,6374,6112,
5852,5589,5333,5077,4825,4582,4345,4105,3875,3642,3416,3195,2974,2765,2554,2341,2137,1934,1739,1546,
1351,1159,970,784,604,426,248,65,-111,-284,-456,-627,-795,-967,-1136,-1303,-1473,-1639,-1801,-1967,
-2135,-2305,-2471,-2639,-2807,-2983,-3159,-3339,-3521,-3702,-3884,-4070,-4262,-4455,-4649,-4845,-5040,-5235,-5436,-5639,
-5842,-6047,-6248,-6449,-6654,-6854,-7060,-7257,-7459,-7652,-7842,-8030,-8218,-8399,-8568,-8728,-8878,-9021,-9151,-9268,
-9373,-9455,-9513,-9553,-9569,-9565,-9528,-9452,-9344,-9193,-9003,-8773,-8495,-8165,-7784,-7348,-6860,-6326,-5737,-5101,
-4421,-3698,-2946,-2166,-1376,-579,224,1007,1770,2499,3189,3833,4424,4959,5432,5845,6199,6487,6715,6881,
6998,7055,7069,7041,6969,6860,6717,6545,6353,6139,5912,5669,5410,5142,4870,4597,4322,4044,3760,3481,
3197,2922,2645,2373,2103,1831,1562,1299,1039,784,530,275,19,-228,-476,-715,-957,-1197,-1436,-1672,
-1906,-2131,-2357,-2580,-2804,-3023,-3240,-3454,-3661,-3866,-4069,-4268,-4458,-4641,-4813,-4980,-5140,-5292,-5429,-5553,
-5660,-5751,-5820,-5875,-5905,-5909,-5880,-5818,-5726,-5595,-5426,-5213,-4949,-4635,-4272,-3859,-3389,-2869,-2296,-1679,
-1013,-315,419,1173,1950,2728,3509,4278,5022,5745,6432,7071,7662,8202,8691,9115,9482,9789,10040,10227,
10364,10454,10498,10498,10454,10375,10271,10141,9982,9814,9618,9407,9179,8942,8700,8451,8191,7928,7655,7383,
7113,6841,6573,6304,6029,5764,5500,5243,4987,4737,4487,4243,4004,3774,3547,3324,3102,2882,2670,2467,
2260,2062,1864,1672,1476,1286,1103,919,735,551,372,191,17,-161,-335,-511,-686,-864,-1032,-1203,
-1370,-1539,-1713,-1884,-2048,-2214,-2381,-2547,-2719,-2892,-3066,-3241,-3412,-3589,-3769,-3953,-4136,-4325,-4511,-4699,
-4891,-5091,-5290,-5487,-5688,-5887,-6091,-6299,-6507,-6712,-6919,-7118,-7320,-7523,-7724,-7917,-8107,-8289,-8464,-8628,
-8793,-8942,-9082,-9202,-9308,-9398,-9474,-9527,-9561,-9565,-9544,-9492,-9409,-9290,-9134,-8938,-8692,-8399,-8058,-7674,
-7229,-6735,-6186,-5588,-4940,-4252,-3523,-2765,-1979,-1179,-375,429,1215,1977,2707,3389,4028,4608,5130,5595,
5996,6332,6608,6818,6977,7078,7126,7126,7085,7004,6888,6745,6573,6383,6168,5933,5690,5439,5178,4912,
4636,4360,4081,3797,3523,3246,2969,2686,2405,2133,1863,1594,1328,1062,799,543,283,33,-214,-461,
-709,-951,-1186,-1416,-1650,-1875,-2103,-2328,-2550,-2764,-2975,-3190,-3404,-3614,-3820,-4015,-4212,-4401,-4586,-4766,
-4938,-5100,-5253,-5387,-5513,-5631,-5726,-5800,-5853,-5880,-5880,-5852,-5793,-5700,-5561,-5381,-5158,-4892,-4576,-4204,
-3780,-3306,-2775,-2201,-1577,-913,-209,527,1284,2055,2837,3615,4384,5131,5843,6527,7170,7766,8305,8791,
9217,9580,9884,10132,10326,10461,10542,10579,10569,10524,10445,10335,10195,10029,9843,9645,9430,9208,8967,8720,
8464,8201,7937,7674,7408,7137,6864,6594,6328,6065,5802,5540,5280,5024,4773,4524,4283,4047,3807,3572,
3346,3122,2907,2691,2476,2269,2062,1860,1668,1471,1282,1088,900,718,538,361,187,8,-166,-344,
-518,-687,-856,-1028,-1202,-1371,-1541,-1707,-1877,-2045,-2216,-2390,-2562,-2736,-2907,-3083,-3264,-3445,-3628,-3813,
-3993,-4179,-4367,-4565,-4758,-4954,-5144,-5343,-5541,-5742,-5944,-6148,-6352,-6554,-6756,-6962,-7167,-7369,-7570,-7766,
-7960,-8150,-8336,-8517,-8692,-8850,-9003,-9142,-9276,-9391,-9490,-9567,-9621,-9651,-9661,-9645,-9598,-9513,-9391,-9233,
-9032,-8787,-8494,-8154,-7758,-7313,-6813,-6265,-5672,-5025,-4335,-3605,-2849,-2070,-1274,-471,325,1114,1873,2602,
3287,3925,4507,5034,5498,5901,6244,6524,6743,6904,7004,7053,7056,7014,6936,6817,6670,6490,6294,6079,
5850,5603,5349,5084,4813,4543,4264,3992,3715,3436,3157,2881,2608,2339,2066,1798,1531,1266,1006,750,
496,239,-17,-270,-517,-762,-1004,-1240,-1479,-1717,-1947,-2175,-2396,-2619,-2840,-3055,-3269,-3476,-3683,-3882,
-4080,-4275,-4464,-4642,-4812,-4974,-5132,-5279,-5417,-5537,-5644,-5734,-5806,-5859,-5887,-5892,-5859,-5792,-5697,-5565,
-5386,-5167,-4898,-4579,-4205,-3780,-3305,-2778,-2197,-1573,-902,-198,535,1293,2067,2844,3617,4379,5123,5835,
6512,7151,7736,8267,8749,9169,9532,9839,10082,10269,10405,10493,10535,10536,10492,10416,10306,10173,10019,9839,
9642,9425,9200,8960,8710,8460,8203,7934,7663,7390,7123,6851,6584,6315,6049,5783,5521,5268,5015,4770,
4523,4279,4044,3814,3587,3367,3145,2930,2714,2508,2302,2103,1902,1703,1507,1313,1126,938,755,574,
390,209,32,-143,-318,-494,-670,-842,-1013,-1181,-1347,-1517,-1685,-1853,-2019,-2185,-2350,-2521,-2692,-2865,
-3038,-3214,-3391,-3570,-3750,-3937,-4124,-4314,-4505,-4695,-4893,-5094,-5293,-5496,-5693,-5895,-6099,-6305,-6513,-6718,
-6923,-7123,-7322,-7521,-7717,-7911,-8097,-8274,-8447,-8612,-8773,-8920,-9057,-9176,-9286,-9376,-9450,-9502,-9537,-9540,
-9517,-9464,-9383,-9266,-9109,-8910,-8662,-8367,-8026,-7630,-7189,-6690,-6139,-5537,-4892,-4204,-3479,-2724,-1947,-1150,
-353,442,1219,1973,2688,3369,3993,4567,5083,5541,5936,6272,6546,6759,6916,7019,7071,7077,7035,6951,
6840,6697,6525,6332,6116,5884,5642,5387,5124,4858,4584,4303,4021,3742,3464,3184,2908,2626,2351,2078,
1808,1543,1281,1016,757,499,245,-4,-249,-494,-739,-982,-1220,-1451,-1684,-1912,-2145,-2368,-2588,-2808,
-3023,-3236,-3449,-3659,-3867,-4066,-4260,-4447,-4632,-4807,-4976,-5130,-5273,-5404,-5523,-5627,-5713,-5777,-5820,-5834,
-5826,-5787,-5715,-5606,-5456,-5263,-5025,-4744,-4415,-4035,-3599,-3112,-2578,-1992,-1359,-688,20,755,1513,2281,
3054,3819,4574,5308,6008,6669,7290,7866,8386,8850,9251,9593,9875,10103,10277,10396,10465,10489,10474,10420,
10338,10224,10082,9917,9733,9530,9320,9095,8862,8614,8358,8098,7836,7572,7303,7034,6762,6490,6221,5955,
5697,5434,5172,4919,4666,4419,4178,3939,3706,3474,3246,3027,2811,2598,2389,2183,1982,1781,1588,1399,
1209,1018,833,649,472,293,110,-64,-244,-417,-594,-767,-941,-1112,-1286,-1458,-1628,-1797,-1966,-2136,
-2307,-2477,-2654,-2825,-2995,-3169,-3345,-3528,-3709,-3889,-4072,-4258,-4445,-4635,-4829,-5024,-5219,-5415,-5613,-5815,
-6017,-6223,-6425,-6628,-6831,-7038,-7243,-7448,-7649,-7841,-8032,-8218,-8406,-8583,-8749,-8907,-9049,-9183,-9301,-9409,
-9502,-9566,-9606,-9628,-9629,-9596,-9534,-9437,-9304,-9130,-8919,-8662,-8358,-8003,-7599,-7137,-6628,-6069,-5460,-4810,
-4114,-3382,-2620,-1839,-1048,-251,544,1316,2065,2779,3448,4069,4631,5133,5575,5956,6277,6541,6744,6886,
6971,7008,7000,6952,6862,6741,6587,6408,6209,5992,5764,5523,5267,5004,4738,4469,4194,3920,3643,3367,
3087,2807,2536,2267,1997,1724,1453,1188,928,668,414,155,-96,-347,-593,-835,-1071,-1313,-1544,-1781,
-2007,-2231,-2450,-2668,-2885,-3099,-3312,-3518,-3718,-3916,-4115,-4307,-4494,-4674,-4843,-5003,-5156,-5301,-5434,-5555,
-5657,-5739,-5803,-5845,-5865,-5855,-5815,-5738,-5623,-5472,-5278,-5037,-4749,-4407,-4019,-3576,-3081,-2535,-1945,-1305,
-624,90,830,1590,2365,3137,3904,4659,5388,6090,6754,7375,7944,8464,8925,9330,9678,9964,10191,10360,
10477,10550,10576,10561,10507,10421,10300,10155,9990,9804,9601,9383,9151,8908,8664,8407,8151,7883,7615,7343,
7077,6809,6545,6275,6010,5746,5489,5235,4987,4740,4494,4250,4013,3777,3554,3328,3106,2887,2674,2462,
2253,2053,1853,1654,1456,1266,1074,892,708,523,341,165,-13,-187,-360,-533,-705,-881,-1050,-1220,
-1389,-1556,-1726,-1893,-2065,-2233,-2401,-2571,-2748,-2922,-3099,-3279,-3460,-3640,-3822,-4013,-4202,-4392,-4583,-4777,
-4971,-5174,-5374,-5574,-5776,-5975,-6178,-6384,-6587,-6793,-6997,-7195,-7391,-7590,-7787,-7982,-8166,-8347,-8522,-8684,
-8842,-8995,-9130,-9253,-9358,-9448,-9520,-9572,-9598,-9603,-9569,-9506,-9414,-9287,-9121,-8907,-8648,-8341,-7982,-7577,
-7116,-6604,-6044,-5430,-4771,-4075,-3343,-2580,-1799,-1004,-209,579,1353,2101,2811,3478,4097,4661,5164,5611,
5994,6318,6577,6782,6929,7021,7060,7052,7003,6907,6784,6634,6456,6254,6032,5794,5547,5291,5024,4759,
4483,4203,3923,3641,3363,3090,2812,2537,2264,1996,1729,1464,1203,942,680,424,172,-75,-322,-569,
-815,-1058,-1298,-1532,-1762,-1991,-2221,-2448,-2676,-2892,-3103,-3316,-3528,-3735,-3939,-4137,-4328,-4513,-4689,-4866,
-5027,-5182,-5321,-5448,-5564,-5663,-5747,-5809,-5850,-5864,-5852,-5810,-5737,-5626,-5477,-5283,-5044,-4755,-4420,-4036,
-3599,-3110,-2567,-1977,-1342,-664,46,786,1546,2315,3092,3861,4612,5343,6041,6699,7317,7884,8401,8861,
9260,9600,9883,10108,10278,10397,10466,10493,10471,10421,10339,10227,10091,9925,9739,9541,9322,9098,8860,8612,
8355,8092,7827,7559,7291,7020,6748,6477,6207,5940,5678,5420,5161,4905,4657,4414,4174,3937,3702,3478,
3253,3032,2819,2610,2403,2198,1993,1797,1601,1409,1221,1030,842,656,477,295,117,-62,-238,-417,
-595,-766,-939,-1112,-1287,-1461,-1627,-1796,-1962,-2129,-2302,-2472,-2646,-2813,-2984,-3158,-3335,-3515,-3696,-3878,
-4059,-4244,-4434,-4625,-4821,-5016,-5214,-5415,-5614,-5816,-6021,-6227,-6432,-6636,-6841,-7047,-7252,-7451,-7650,-7844,
-8030,-8216,-8396,-8573,-8735,-8889,-9026,-9157,-9275,-9378,-9463,-9528,-9571,-9587,-9584,-9554,-9487,-9389,-9253,-9079,
-8863,-8604,-8297,-7942,-7529,-7069,-6554,-5990,-5378,-4721,-4021,-3288,-2519,-1740,-948,-152,633,1405,2148,2853,
3519,4130,4685,5182,5617,5991,6304,6558,6754,6895,6978,7014,7002,6949,6861,6740,6587,6409,6207,5993,
5761,5517,5266,5001,4729,4460,4186,3909,3633,3349,3069,2791,2515,2242,1972,1706,1433,1167,906,650,
393,140,-108,-357,-602,-842,-1081,-1312,-1547,-1781,-2005,-2229,-2448,-2669,-2884,-3100,-3311,-3523,-3723,-3921,
-4119,-4312,-4501,-4682,-4849,-5016,-5166,-5310,-5438,-5554,-5652,-5728,-5784,-5823,-5830,-5816,-5768,-5682,-5560,-5397,
-5194,-4947,-4648,-4298,-3900,-3449,-2948,-2399,-1798,-1157,-477,239,981,1743,2510,3282,4047,4798,5518,6211,
6868,7477,8037,8542,8993,9384,9717,9994,10206,10363,10469,10527,10544,10520,10459,10364,10239,10094,9922,9737,
9532,9313,9079,8840,8591,8338,8080,7813,7550,7281,7012,6745,6479,6214,5950,5683,5425,5169,4919,4670,
4424,4181,3946,3711,3482,3258,3037,2818,2606,2393,2191,1988,1790,1596,1402,1211,1025,842,660,479,
299,120,-52,-228,-400,-573,-745,-919,-1092,-1262,-1428,-1602,-1771,-1938,-2111,-2279,-2451,-2622,-2795,-2972,
-3154,-3328,-3508,-3689,-3875,-4060,-4247,-4438,-4630,-4820,-5012,-5211,-5412,-5613,-5810,-6012,-6214,-6417,-6622,-6823,
-7029,-7231,-7430,-7627,-7825,-8018,-8205,-8384,-8557,-8720,-8879,-9021,-9158,-9275,-9376,-9460,-9524,-9570,-9588,-9580,
-9542,-9472,-9364,-9223,-9046,-8820,-8552,-8233,-7865,-7449,-6979,-6459,-5883,-5265,-4598,-3895,-3156,-2395,-1609,-817,
-20,764,1531,2272,2978,3631,4242,4790,5283,5714,6083,6391,6638,6820,6953,7030,7059,7041,6979,6880,
6748,6588,6408,6201,5980,5741,5491,5232,4971,4705,4430,4155,3877,3601,3322,3048,2775,2500,2226,1956,
1690,1424,1162,898,641,382,127,-123,-369,-615,-860,-1105,-1341,-1576,-1807,-2033,-2262,-2485,-2704,-2924,
-3136,-3345,-3555,-3756,-3957,-4151,-4339,-4523,-4699,-4868,-5030,-5182,-5321,-5447,-5564,-5659,-5742,-5799,-5836,-5850,
-5831,-5785,-5703,-5586,-5426,-5224,-4970,-4674,-4327,-3926,-3473,-2972,-2415,-1815,-1168,-485,235,982,1742,2516,
3287,4053,4805,5526,6214,6865,7475,8028,8534,8985,9376,9707,9978,10195,10354,10465,10523,10539,10513,10455,
10363,10242,10098,9927,9736,9528,9307,9077,8833,8583,8320,8059,7791,7523,7255,6984,6710,6441,6174,5910,
5647,5390,5133,4883,4636,4393,4155,3921,3691,3462,3235,3021,2802,2591,2385,2178,1974,1774,1575,1386,
1196,1005,818,631,450,268,91,-87,-262,-440,-614,-784,-958,-1127,-1299,-1472,-1638,-1804,-1972,-2138,
-2307,-2476,-2651,-2819,-2992,-3169,-3347,-3528,-3712,-3896,-4081,-4268,-4458,-4651,-4847,-5044,-5243,-5445,-5647,-5850,
-6052,-6258,-6463,-6666,-6869,-7071,-7275,-7478,-7674,-7865,-8055,-8236,-8416,-8587,-8748,-8904,-9044,-9172,-9292,-9395,
-9480,-9540,-9586,-9603,-9598,-9561,-9498,-9397,-9259,-9077,-8854,-8588,-8273,-7906,-7491,-7019,-6497,-5923,-5302,-4637,
-3930,-3190,-2425,-1637,-840,-48,738,1502,2243,2943,3599,4205,4754,5243,5675,6040,6345,6594,6783,6915,
6993,7021,7005,6947,6855,6727,6568,6384,6179,5956,5720,5472,5214,4947,4677,4401,4125,3844,3566,3285,
3005,2728,2456,2183,1915,1648,1381,1119,859,601,350,99,-152,-397,-641,-880,-1119,-1353,-1584,-1818,
-2047,-2271,-2492,-2712,-2930,-3147,-3360,-3568,-3773,-3973,-4169,-4357,-4544,-4725,-4891,-5050,-5202,-5338,-5464,-5575,
-5667,-5743,-5794,-5825,-5833,-5812,-5754,-5667,-5543,-5376,-5171,-4917,-4614,-4264,-3857,-3403,-2897,-2341,-1742,-1094,
-409,311,1054,1820,2593,3369,4129,4875,5599,6284,6934,7538,8092,8589,9027,9414,9737,10005,10213,10363,
10466,10518,10528,10500,10438,10340,10216,10070,9903,9713,9508,9290,9059,8817,8566,8315,8054,7791,7523,7251,
6982,6712,6443,6179,5911,5647,5385,5130,4878,4629,4382,4143,3906,3675,3446,3225,3005,2789,2578,2369,
2168,1966,1772,1576,1385,1198,1007,824,643,461,280,100,-75,-250,-424,-601,-775,-948,-1123,-1294,
-1465,-1636,-1807,-1977,-2147,-2315,-2487,-2659,-2833,-3006,-3183,-3365,-3540,-3722,-3905,-4089,-4278,-4468,-4655,-4851,
-5044,-5239,-5439,-5642,-5843,-6047,-6248,-6456,-6661,-6869,-7073,-7275,-7477,-7676,-7869,-8061,-8248,-8428,-8598,-8758,
-8912,-9055,-9186,-9298,-9394,-9472,-9534,-9570,-9587,-9575,-9531,-9451,-9343,-9195,-9013,-8782,-8506,-8183,-7810,-7388,
-6914,-6387,-5809,-5186,-4517,-3809,-3066,-2299,-1513,-718,74,860,1622,2355,3052,3701,4297,4839,5321,5740,
6100,6395,6628,6807,6927,6995,7018,6994,6930,6826,6691,6532,6348,6143,5922,5684,5435,5177,4915,4647,
4377,4099,3824,3545,3268,2990,2714,2437,2163,1893,1622,1357,1094,829,570,312,58,-193,-440,-684,
-927,-1169,-1407,-1637,-1867,-2092,-2317,-2539,-2756,-2974,-3187,-3394,-3600,-3804,-4005,-4198,-4389,-4571,-4748,-4918,
-5079,-5227,-5372,-5495,-5607,-5700,-5779,-5834,-5865,-5872,-5848,-5792,-5702,-5570,-5403,-5187,-4927,-4617,-4257,-3846,
-3380,-2865,-2302,-1691,-1038,-348,373,1118,1883,2656,3428,4187,4931,5647,6330,6970,7571,8117,8610,9047,
9425,9743,10002,10202,10352,10450,10499,10500,10467,10396,10291,10164,10009,9835,9637,9426,9202,8966,8724,8470,
8211,7948,7680,7414,7146,6877,6610,6339,6072,5813,5552,5296,5041,4789,4542,4300,4060,3826,3596,3367,
3141,2922,2707,2494,2283,2080,1876,1678,1483,1291,1101,914,727,545,366,187,12,-162,-339,-512,
-685,-855,-1022,-1194,-1362,-1532,-1700,-1867,-2035,-2203,-2372,-2543,-2716,-2890,-3064,-3238,-3415,-3600,-3780,-3965,
-4153,-4339,-4529,-4720,-4912,-5111,-5306,-5505,-5703,-5901,-6105,-6305,-6508,-6711,-6911,-7113,-7312,-7508,-7707,-7898,
-8085,-8268,-8447,-8617,-8780,-8930,-9074,-9201,-9314,-9413,-9494,-9554,-9593,-9605,-9593,-9550,-9474,-9367,-9218,-9024,
-8789,-8510,-8179,-7800,-7372,-6889,-6355,-5766,-5139,-4461,-3749,-3001,-2229,-1440,-644,149,932,1694,2426,3119,
3768,4362,4902,5382,5802,6157,6454,6689,6863,6986,7052,7070,7045,6975,6873,6734,6571,6383,6169,5943,
5703,5452,5193,4925,4652,4377,4102,3824,3548,3273,2996,2718,2445,2178,1909,1641,1379,1116,860,599,
348,94,-152,-403,-645,-890,-1129,-1366,-1600,-1832,-2061,-2287,-2512,-2729,-2946,-3161,-3376,-3582,-3785,-3984,
-4179,-4365,-4546,-4720,-4890,-5045,-5193,-5330,-5453,-5562,-5653,-5726,-5778,-5807,-5812,-5787,-5735,-5643,-5515,-5346,
-5136,-4879,-4570,-4216,-3809,-3347,-2832,-2269,-1662,-1009,-317,405,1149,1916,2691,3464,4226,4969,5687,6371,
7013,7609,8158,8647,9082,9459,9778,10037,10241,10387,10488,10536,10547,10516,10450,10351,10225,10071,9900,9710,
9503,9282,9045,8804,8551,8292,8029,7761,7491,7217,6945,6674,6405,6134,5869,5607,5349,5089,4837,4592,
4350,4110,3876,3645,3420,3199,2981,2767,2559,2350,2145,1946,1747,1555,1361,1169,982,796,610,429,
246,64,-113,-288,-467,-641,-818,-989,-1164,-1335,-1504,-1675,-1843,-2012,-2183,-2349,-2519,-2690,-2865,-3037,
-3213,-3390,-3571,-3753,-3933,-4124,-4311,-4504,-4695,-4889,-5086,-5286,-5486,-5690,-5893,-6098,-6304,-6509,-6715,-6922,
-7126,-7328,-7527,-7725,-7918,-8108,-8290,-8468,-8636,-8792,-8942,-9081,-9208,-9320,-9413,-9494,-9547,-9584,-9595,-9582,
-9537,-9461,-9346,-9201,-9015,-8781,-8503,-8172,-7796,-7365,-6885,-6353,-5771,-5140,-4464,-3749,-3005,-2232,-1442,-648,
144,926,1685,2415,3105,3743,4334,4868,5339,5751,6103,6394,6624,6793,6909,6975,6989,6964,6897,6794,
6657,6494,6308,6099,5875,5637,5388,5129,4862,4590,4313,4038,3757,3477,3198,2920,2643,2367,2093,1823,
1552,1286,1028,768,510,255,6,-242,-486,-731,-969,-1207,-1441,-1673,-1903,-2125,-2346,-2569,-2789,-3003,
-3214,-3428,-3636,-3838,-4036,-4234,-4425,-4605,-4783,-4949,-5110,-5258,-5392,-5517,-5624,-5712,-5783,-5833,-5860,-5855,
-5826,-5761,-5663,-5525,-5347,-5127,-4859,-4542,-4176,-3756,-3289,-2769,-2197,-1582,-925,-234,493,1242,2008,2780,
3552,4314,5051,5767,6446,7089,7676,8215,8704,9132,9501,9808,10061,10255,10393,10482,10525,10524,10485,10411,
10304,10173,10017,9841,9647,9435,9210,8980,8735,8489,8230,7968,7704,7439,7172,6903,6636,6368,6102,5836,
5580,5321,5067,4814,4565,4322,4083,3847,3615,3388,3165,2945,2731,2520,2314,2109,1910,1714,1520,1331,
1143,957,774,592,413,236,59,-113,-288,-464,-637,-808,-981,-1152,-1321,-1493,-1663,-1833,-2001,-2170,
-2342,-2514,-2688,-2860,-3034,-3210,-3391,-3572,-3756,-3939,-4123,-4309,-4498,-4688,-4882,-5076,-5273,-5471,-5667,-5869,
-6071,-6275,-6479,-6682,-6884,-7087,-7286,-7489,-7684,-7881,-8071,-8252,-8429,-8603,-8760,-8914,-9051,-9177,-9288,-9381,
-9457,-9513,-9542,-9548,-9526,-9474,-9391,-9271,-9112,-8914,-8670,-8379,-8044,-7655,-7217,-6725,-6181,-5593,-4956,-4276,
-3555,-2807,-2033,-1246,-450,340,1118,1879,2601,3288,3921,4505,5030,5496,5901,6246,6525,6746,6908,7016,
7072,7080,7039,6965,6853,6711,6540,6349,6136,5909,5665,5415,5156,4892,4621,4345,4071,3796,3518,3244,
2968,2692,2419,2146,1878,1611,1345,1080,820,560,305,50,-199,-449,-697,-942,-1179,-1416,-1648,-1881,
-2110,-2334,-2554,-2773,-2989,-3201,-3410,-3616,-3818,-4017,-4208,-4392,-4576,-4750,-4917,-5075,-5220,-5359,-5481,-5590,
-5681,-5754,-5803,-5831,-5834,-5805,-5741,-5645,-5509,-5331,-5109,-4840,-4521,-4154,-3730,-3256,-2731,-2155,-1535,-873,
-174,553,1305,2073,2844,3615,4373,5113,5822,6495,7130,7719,8252,8734,9155,9520,9827,10074,10266,10404,
10489,10530,10527,10487,10411,10302,10167,10008,9825,9629,9415,9187,8947,8698,8441,8180,7914,7645,7375,7103,
6832,6561,6292,6030,5765,5502,5244,4992,4744,4496,4256,4018,3786,3554,3329,3107,2890,2675,2463,2256,
2050,1847,1648,1453,1259,1068,881,694,513,329,149,-27,-205,-379,-553,-727,-897,-1070,-1242,-1410,
-1577,-1743,-1912,-2079,-2247,-2415,-2586,-2754,-2927,-3103,-3280,-3458,-3637,-3821,-4008,-4194,-4382,-4575,-4769,-4963,
-5159,-5358,-5558,-5760,-5963,-6166,-6369,-6571,-6776,-6981,-7181,-7382,-7578,-7771,-7961,-8148,-8330,-8504,-8672,-8831,
-8979,-9115,-9241,-9354,-9446,-9522,-9576,-9611,-9619,-9601,-9553,-9471,-9355,-9197,-8999,-8759,-8468,-8133,-7741,-7299,
-6807,-6262,-5667,-5026,-4338,-3617,-2864,-2089,-1299,-501,292,1070,1826,2553,3235,3869,4449,4975,5441,5842,
6187,6468,6692,6857,6963,7022,7030,6996,6921,6810,6667,6496,6302,6092,5861,5619,5361,5101,4832,4559,
4281,4005,3725,3446,3167,2889,2614,2341,2068,1801,1536,1273,1012,753,500,247,-3,-252,-497,-739,
-979,-1219,-1453,-1685,-1916,-2143,-2369,-2591,-2813,-3031,-3243,-3454,-3664,-3866,-4066,-4259,-4450,-4630,-4804,-4969,
-5124,-5271,-5406,-5522,-5626,-5715,-5782,-5826,-5849,-5847,-5813,-5747,-5645,-5507,-5329,-5103,-4833,-4514,-4144,-3722,
-3248,-2730,-2155,-1535,-873,-175,553,1305,2076,2849,3620,4383,5120,5833,6507,7140,7727,8260,8739,9162,
9524,9828,10071,10259,10392,10478,10516,10515,10472,10399,10292,10161,10004,9829,9633,9425,9202,8965,8722,8471,
8212,7950,7682,7414,7141,6873,6601,6332,6064,5799,5536,5277,5022,4771,4524,4278,4040,3808,3577,3352,
3133,2917,2701,2492,2288,2087,1890,1694,1499,1309,1122,936,755,570,391,209,34,-141,-318,-493,
-670,-846,-1018,-1192,-1365,-1533,-1702,-1872,-2042,-2213,-2379,-2549,-2721,-2894,-3069,-3244,-3422,-3599,-3781,-3964,
-4151,-4337,-4524,-4717,-4911,-5106,-5305,-5501,-5706,-5908,-6111,-6318,-6524,-6727,-6933,-7137,-7339,-7540,-7737,-7930,
-8119,-8301,-8475,-8646,-8804,-8951,-9088,-9210,-9317,-9406,-9477,-9530,-9560,-9563,-9541,-9487,-9399,-9281,-9122,-8924,
-8680,-8392,-8054,-7665,-7226,-6737,-6192,-5599,-4961,-4281,-3560,-2810,-2033,-1249,-449,338,1119,1873,2594,3278,
3908,4484,5005,5468,5868,6203,6479,6699,6856,6961,7015,7019,6983,6904,6792,6653,6484,6293,6080,5852,
5614,5362,5102,4838,4566,4292,4012,3737,3458,3179,2900,2626,2349,2075,1803,1534,1269,1005,742,485,
228,-21,-273,-518,-763,-1002,-1241,-1474,-1705,-1931,-2159,-2380,-2599,-2818,-3032,-3243,-3450,-3656,-3858,-4056,
-4251,-4434,-4618,-4793,-4958,-5116,-5261,-5397,-5517,-5621,-5709,-5779,-5823,-5843,-5836,-5798,-5727,-5620,-5473,-5286,
-5054,-4772,-4443,-4062,-3633,-3148,-2617,-2038,-1408,-741,-41,689,1441,2208,2982,3745,4501,5234,5937,6603,
7232,7809,8335,8806,9219,9575,9869,10106,10287,10412,10490,10523,10509,10461,10380,10264,10126,9962,9777,9575,
9359,9132,8895,8647,8393,8133,7869,7605,7338,7072,6803,6535,6267,6002,5743,5486,5227,4975,4723,4478,
4235,3998,3764,3533,3305,3080,2863,2649,2437,2229,2023,1822,1625,1429,1238,1052,864,679,499,321,
143,-34,-208,-382,-556,-728,-901,-1071,-1243,-1414,-1582,-1751,-1919,-2087,-2257,-2428,-2601,-2779,-2950,-3125,
-3303,-3484,-3667,-3851,-4035,-4226,-4413,-4603,-4798,-4993,-5188,-5385,-5582,-5783,-5983,-6185,-6387,-6591,-6793,-6994,
-7196,-7396,-7595,-7789,-7978,-8166,-8346,-8524,-8692,-8849,-8999,-9133,-9255,-9364,-9455,-9526,-9579,-9605,-9605,-9580,
-9521,-9429,-9300,-9134,-8925,-8668,-8367,-8017,-7615,-7162,-6656,-6099,-5497,-4847,-4155,-3430,-2671,-1895,-1102,-309,
477,1253,2001,2714,3388,4009,4581,5092,5543,5933,6264,6530,6739,6889,6986,7030,7026,6979,6895,6775,
6625,6449,6250,6032,5801,5557,5301,5039,4770,4498,4225,3949,3674,3397,3120,2845,2574,2304,2035,1767,
1501,1235,976,717,462,210,-43,-291,-540,-785,-1025,-1264,-1502,-1736,-1966,-2195,-2419,-2640,-2858,-3074,
-3288,-3498,-3700,-3900,-4098,-4288,-4473,-4651,-4824,-4985,-5137,-5280,-5410,-5528,-5630,-5714,-5779,-5824,-5844,-5837,
-5798,-5729,-5623,-5476,-5289,-5058,-4776,-4446,-4064,-3630,-3142,-2607,-2020,-1390,-714,-7,731,1488,2262,3035,
3808,4563,5297,6000,6670,7294,7867,8391,8857,9264,9614,9907,10139,10319,10441,10517,10547,10536,10488,10408,
10296,10154,9991,9809,9609,9393,9162,8921,8671,8416,8154,7885,7616,7345,7070,6799,6529,6261,5993,5727,
5465,5210,4955,4709,4466,4223,3987,3757,3530,3306,3086,2870,2661,2450,2246,2044,1843,1651,1454,1261,
1073,887,701,517,336,156,-22,-199,-372,-547,-721,-893,-1065,-1234,-1404,-1573,-1739,-1906,-2072,-2240,
-2409,-2576,-2744,-2919,-3091,-3266,-3442,-3623,-3805,-3989,-4176,-4366,-4557,-4750,-4943,-5141,-5339,-5541,-5743,-5949,
-6152,-6353,-6559,-6765,-6968,-7171,-7369,-7566,-7759,-7948,-8135,-8314,-8485,-8649,-8802,-8947,-9083,-9201,-9305,-9394,
-9464,-9512,-9539,-9540,-9516,-9459,-9366,-9241,-9080,-8873,-8624,-8320,-7972,-7572,-7119,-6617,-6063,-5454,-4802,-4106,
-3375,-2617,-1834,-1041,-242,550,1327,2079,2793,3465,4088,4658,5167,5619,6009,6335,6600,6803,6955,7051,
7096,7094,7050,6965,6846,6697,6523,6326,6110,5875,5629,5373,5109,4837,4563,4285,4004,3724,3440,3159,
2884,2602,2329,2056,1785,1518,1252,992,733,477,220,-27,-273,-518,-760,-1003,-1239,-1473,-1705,-1933,
-2158,-2384,-2608,-2827,-3044,-3256,-3469,-3677,-3881,-4083,-4277,-4466,-4646,-4821,-4990,-5146,-5289,-5423,-5541,-5644,
-5726,-5794,-5837,-5853,-5842,-5800,-5731,-5622,-5475,-5285,-5053,-4773,-4442,-4061,-3633,-3152,-2616,-2037,-1411,-745,
-41,691,1443,2213,2985,3754,4509,5242,5949,6617,7242,7816,8343,8813,9221,9570,9860,10096,10271,10395,
10471,10497,10483,10433,10350,10236,10100,9934,9753,9551,9342,9113,8878,8635,8381,8122,7861,7592,7328,7058,
6788,6520,6250,5982,5718,5458,5199,4943,4690,4444,4202,3961,3728,3496,3267,3047,2827,2617,2409,2202,
2000,1799,1605,1415,1224,1039,853,669,489,309,132,-44,-220,-396,-572,-744,-919,-1089,-1265,-1435,
-1608,-1777,-1948,-2118,-2287,-2457,-2634,-2805,-2980,-3156,-3334,-3510,-3692,-3873,-4061,-4244,-4431,-4624,-4813,-5006,
-5201,-5399,-5596,-5797,-5999,-6205,-6407,-6610,-6815,-7017,-7222,-7425,-7623,-7822,-8014,-8199,-8383,-8558,-8726,-8884,
-9028,-9163,-9281,-9387,-9475,-9542,-9590,-9612,-9606,-9578,-9518,-9424,-9292,-9122,-8911,-8654,-8352,-8001,-7603,-7147,
-6643,-6087,-5487,-4840,-4150,-3424,-2672,-1889,-1102,-309,477,1249,1998,2712,3379,3999,4568,5076,5524,5907,
6231,6494,6698,6846,6936,6977,6971,6922,6834,6717,6568,6390,6195,5980,5751,5506,5255,4996,4727,4454,
4182,3911,3635,3358,3082,2805,2531,2257,1986,1719,1451,1184,922,662,407,148,-102,-351,-598,-844,
-1083,-1318,-1553,-1784,-2014,-2237,-2458,-2675,-2890,-3102,-3311,-3521,-3725,-3920,-4113,-4303,-4488,-4666,-4837,-4996,
-5150,-5291,-5420,-5538,-5637,-5721,-5779,-5819,-5835,-5820,-5775,-5697,-5580,-5424,-5226,-4981,-4689,-4348,-3953,-3508,
-3010,-2463,-1868,-1228,-551,161,898,1657,2425,3197,3961,4711,5437,6131,6791,7406,7971,8485,8941,9341,
9683,9965,10191,10360,10475,10543,10564,10548,10494,10403,10284,10139,9971,9783,9579,9363,9129,8885,8636,8380,
8122,7854,7587,7316,7048,6777,6512,6247,5985,5722,5464,5211,4960,4713,4470,4230,3996,3763,3534,3309,
3090,2872,2656,2446,2242,2037,1837,1639,1445,1253,1062,876,694,511,327,151,-26,-200,-374,-546,
-716,-891,-1062,-1232,-1398,-1567,-1737,-1904,-2072,-2243,-2410,-2581,-2753,-2928,-3107,-3286,-3467,-3648,-3833,-4020,
-4208,-4401,-4594,-4787,-4983,-5182,-5381,-5581,-5783,-5986,-6188,-6392,-6594,-6798,-6999,-7200,-7397,-7590,-7785,-7977,
-8160,-8340,-8510,-8674,-8828,-8976,-9106,-9229,-9331,-9418,-9485,-9530,-9554,-9550,-9516,-9454,-9355,-9219,-9044,-8827,
-8563,-8251,-7884,-7470,-7005,-6487,-5919,-5302,-4639,-3939,-3198,-2437,-1656,-863,-67,719,1488,2226,2932,3591,
4199,4752,5251,5685,6062,6375,6627,6824,6956,7043,7075,7064,7006,6913,6786,6627,6444,6243,6020,5785,
5533,5273,5009,4739,4464,4186,3905,3627,3347,3073,2797,2525,2252,1982,1713,1449,1188,928,670,416,
163,-87,-333,-579,-824,-1066,-1304,-1540,-1772,-2002,-2231,-2456,-2681,-2900,-3117,-3330,-3540,-3748,-3950,-4147,
-4339,-4523,-4701,-4871,-5034,-5188,-5327,-5456,-5566,-5665,-5744,-5806,-5843,-5858,-5842,-5796,-5715,-5602,-5445,-5249,
-5005,-4715,-4377,-3984,-3540,-3044,-2499,-1901,-1261,-583,135,877,1639,2414,3189,3960,4713,5442,6137,6796,
7410,7974,8482,8937,9330,9664,9937,10156,10318,10432,10494,10513,10491,10434,10340,10224,10079,9912,9725,9521,
9298,9068,8830,8578,8321,8056,7788,7516,7247,6973,6700,6425,6156,5888,5623,5362,5104,4849,4600,4352,
4113,3876,3646,3417,3193,2972,2760,2548,2343,2138,1937,1739,1541,1351,1162,976,788,604,421,239,
63,-116,-293,-468,-649,-821,-993,-1168,-1338,-1509,-1680,-1849,-2017,-2184,-2351,-2519,-2691,-2862,-3033,-3208,
-3384,-3562,-3739,-3922,-4108,-4292,-4478,-4666,-4864,-5059,-5256,-5454,-5654,-5855,-6059,-6264,-6471,-6678,-6881,-7084,
-7288,-7490,-7690,-7885,-8075,-8260,-8440,-8608,-8775,-8929,-9073,-9200,-9315,-9418,-9501,-9566,-9612,-9632,-9624,-9590,
-9525,-9431,-9298,-9124,-8909,-8647,-8341,-7982,-7575,-7114,-6599,-6034,-5421,-4763,-4062,-3325,-2560,-1774,-979,-180,
614,1388,2136,2846,3513,4127,4686,5187,5626,6002,6315,6569,6767,6906,6991,7026,7016,6962,6872,6750,
6597,6419,6217,5998,5767,5523,5269,5004,4732,4462,4181,3904,3628,3347,3066,2788,2511,2236,1966,1696,
1430,1162,899,641,387,132,-114,-363,-605,-848,-1086,-1319,-1550,-1781,-2009,-2232,-2452,-2668,-2886,-3098,
-3310,-3522,-3723,-3924,-4119,-4312,-4499,-4680,-4853,-5015,-5166,-5309,-5438,-5554,-5655,-5733,-5792,-5826,-5839,-5822,
-5774,-5690,-5568,-5410,-5205,-4958,-4665,-4320,-3926,-3477,-2979,-2432,-1838,-1200,-522,192,929,1688,2458,3230,
3995,4746,5470,6166,6822,7439,8006,8516,8971,9366,9705,9985,10203,10365,10476,10538,10555,10534,10475,10384,
10261,10114,9947,9758,9554,9337,9106,8867,8618,8364,8108,7846,7581,7312,7044,6775,6511,6245,5981,5719,
5458,5201,4951,4703,4457,4215,3977,3743,3514,3288,3068,2851,2636,2425,2221,2020,1820,1628,1433,1242,
1057,871,691,511,333,154,-21,-193,-364,-539,-715,-885,-1055,-1227,-1398,-1568,-1734,-1904,-2076,-2250,
-2419,-2592,-2765,-2940,-3121,-3299,-3479,-3660,-3843,-4028,-4217,-4408,-4598,-4788,-4984,-5178,-5376,-5575,-5777,-5978,
-6178,-6381,-6584,-6786,-6992,-7193,-7393,-7588,-7782,-7975,-8164,-8347,-8519,-8684,-8841,-8984,-9121,-9241,-9343,-9428,
-9491,-9533,-9556,-9550,-9515,-9442,-9340,-9201,-9024,-8802,-8537,-8222,-7858,-7441,-6975,-6459,-5892,-5277,-4618,-3919,
-3185,-2426,-1648,-861,-67,718,1485,2221,2926,3584,4193,4743,5237,5670,6045,6354,6605,6792,6925,7003,
7033,7018,6963,6864,6731,6571,6390,6189,5963,5728,5481,5219,4958,4690,4418,4143,3865,3588,3309,3036,
2761,2488,2217,1945,1675,1410,1147,886,626,368,109,-141,-391,-638,-882,-1125,-1367,-1601,-1834,-2059,
-2287,-2512,-2732,-2951,-3164,-3372,-3581,-3783,-3981,-4179,-4365,-4545,-4721,-4888,-5049,-5200,-5340,-5466,-5573,-5671,
-5744,-5806,-5841,-5850,-5829,-5781,-5697,-5575,-5415,-5208,-4955,-4654,-4302,-3899,-3449,-2941,-2384,-1780,-1135,-447,
272,1014,1775,2548,3315,4077,4820,5540,6227,6874,7475,8030,8528,8974,9358,9683,9949,10162,10317,10423,
10482,10497,10472,10408,10314,10193,10044,9873,9683,9473,9249,9016,8774,8524,8263,7999,7731,7461,7190,6918,
6649,6379,6108,5843,5584,5328,5073,4822,4575,4333,4094,3859,3633,3406,3182,2962,2745,2536,2328,2123,
1919,1722,1523,1330,1139,953,764,576,392,213,34,-142,-319,-494,-669,-845,-1015,-1184,-1354,-1524,
-1691,-1859,-2026,-2193,-2361,-2527,-2699,-2873,-3047,-3221,-3398,-3579,-3759,-3945,-4130,-4319,-4510,-4700,-4897,-5094,
-5296,-5493,-5692,-5896,-6098,-6303,-6510,-6711,-6914,-7115,-7312,-7513,-7708,-7899,-8084,-8265,-8440,-8612,-8769,-8922,
-9062,-9188,-9299,-9398,-9480,-9541,-9581,-9596,-9585,-9544,-9473,-9368,-9226,-9043,-8812,-8537,-8214,-7845,-7421,-6940,
-6412,-5831,-5202,-4530,-3820,-3074,-2304,-1520,-724,70,853,1619,2351,3047,3697,4293,4834,5316,5737,6098,
6396,6636,6818,6944,7019,7040,7019,6956,6858,6727,6567,6382,6177,5950,5712,5467,5209,4942,4670,4393,
4115,3834,3557,3279,3001,2724,2446,2177,1908,1645,1378,1118,859,601,350,103,-143,-389,-637,-878,
-1113,-1348,-1582,-1811,-2039,-2267,-2489,-2709,-2927,-3142,-3355,-3567,-3773,-3971,-4168,-4358,-4541,-4721,-4893,-5050,
-5197,-5333,-5458,-5570,-5663,-5736,-5788,-5817,-5822,-5795,-5743,-5656,-5526,-5357,-5147,-4889,-4587,-4234,-3827,-3369,
-2861,-2304,-1698,-1048,-359,361,1109,1877,2650,3429,4195,4943,5666,6354,7006,7609,8161,8661,9101,9479,
9800,10064,10272,10420,10513,10567,10574,10542,10478,10381,10256,10102,9929,9740,9535,9317,9083,8840,8589,8333,
8072,7807,7539,7269,6995,6725,6453,6188,5918,5653,5392,5133,4879,4632,4387,4146,3906,3675,3445,3224,
3004,2790,2579,2371,2169,1968,1771,1580,1388,1199,1010,828,644,464,286,108,-71,-248,-422,-597,
-771,-946,-1121,-1292,-1464,-1633,-1805,-1973,-2145,-2318,-2488,-2659,-2832,-3007,-3183,-3362,-3540,-3722,-3902,-4087,
-4273,-4465,-4655,-4847,-5041,-5239,-5436,-5638,-5840,-6047,-6249,-6454,-6658,-6869,-7078,-7280,-7483,-7680,-7876,-8069,
-8257,-8438,-8610,-8772,-8923,-9065,-9198,-9312,-9413,-9491,-9553,-9590,-9603,-9594,-9554,-9477,-9368,-9221,-9040,-8813,
-8542,-8220,-7850,-7426,-6952,-6425,-5854,-5230,-4559,-3847,-3105,-2333,-1547,-749,46,834,1602,2343,3041,3696,
4297,4843,5328,5748,6112,6411,6650,6829,6950,7019,7041,7016,6951,6849,6714,6551,6365,6161,5938,5699,
5451,5192,4928,4659,4385,4111,3833,3551,3271,2993,2720,2442,2168,1894,1623,1357,1089,829,569,310,
54,-197,-445,-689,-933,-1172,-1409,-1644,-1870,-2097,-2320,-2539,-2761,-2976,-3187,-3398,-3603,-3803,-4006,-4199,
-4392,-4576,-4751,-4920,-5084,-5237,-5377,-5504,-5618,-5713,-5790,-5849,-5884,-5892,-5872,-5817,-5730,-5608,-5441,-5234,
-4978,-4672,-4317,-3912,-3455,-2949,-2395,-1789,-1140,-454,263,1007,1768,2537,3308,4071,4816,5536,6224,6873,
7478,8029,8533,8979,9369,9695,9963,10172,10329,10429,10485,10500,10469,10400,10303,10179,10032,9858,9664,9453,
9231,8995,8757,8505,8248,7985,7717,7453,7188,6920,6654,6384,6119,5857,5595,5339,5090,4837,4589,4347,
4107,3875,3643,3415,3190,2967,2752,2539,2333,2128,1926,1725,1529,1336,1146,963,776,592,412,232,
59,-116,-288,-461,-633,-806,-974,-1144,-1314,-1482,-1650,-1820,-1987,-2154,-2321,-2494,-2665,-2841,-3017,-3194,
-3370,-3550,-3735,-3921,-4110,-4296,-4484,-4676,-4870,-5068,-5264,-5463,-5661,-5859,-6062,-6265,-6468,-6669,-6869,-7069,
-7268,-7466,-7662,-7859,-8045,-8230,-8404,-8576,-8742,-8895,-9036,-9164,-9279,-9379,-9464,-9527,-9569,-9583,-9569,-9528,
-9455,-9348,-9201,-9014,-8782,-8504,-8177,-7806,-7383,-6906,-6372,-5794,-5167,-4498,-3791,-3052,-2285,-1503,-710,80,
856,1616,2349,3042,3690,4287,4829,5311,5730,6090,6391,6627,6807,6934,7009,7028,7004,6937,6835,6704,
6543,6354,6143,5916,5677,5427,5170,4903,4633,4356,4079,3800,3530,3252,2976,2701,2427,2157,1890,1624,
1363,1101,839,582,329,76,-171,-421,-669,-912,-1153,-1387,-1620,-1855,-2082,-2311,-2535,-2755,-2973,-3184,
-3397,-3605,-3807,-4005,-4194,-4380,-4563,-4736,-4903,-5059,-5201,-5335,-5456,-5564,-5655,-5722,-5772,-5797,-5798,-5770,
-5713,-5617,-5485,-5313,-5092,-4828,-4520,-4155,-3741,-3270,-2753,-2185,-1571,-913,-221,504,1257,2021,2794,3565,
4327,5064,5774,6450,7085,7679,8215,8699,9126,9491,9803,10055,10253,10397,10488,10530,10533,10500,10431,10330,
10203,10049,9874,9680,9473,9253,9016,8770,8514,8254,7993,7725,7456,7184,6911,6638,6369,6103,5838,5575,
5314,5059,4809,4564,4322,4086,3851,3620,3394,3173,2958,2746,2535,2329,2124,1925,1728,1535,1342,1151,
959,776,594,412,228,48,-131,-310,-484,-658,-831,-1006,-1180,-1352,-1520,-1689,-1857,-2025,-2193,-2362,
-2533,-2701,-2871,-3043,-3222,-3401,-3579,-3760,-3943,-4130,-4318,-4508,-4703,-4898,-5094,-5289,-5491,-5699,-5903,-6105,
-6310,-6514,-6719,-6925,-7131,-7335,-7532,-7726,-7919,-8109,-8290,-8467,-8634,-8791,-8937,-9075,-9199,-9308,-9403,-9478,
-9532,-9565,-9576,-9558,-9512,-9436,-9314,-9165,-8972,-8736,-8455,-8122,-7740,-7302,-6815,-6277,-5691,-5055,-4375,-3651,
-2899,-2127,-1334,-538,255,1039,1796,2525,3211,3849,4433,4962,5430,5837,6183,6466,6691,6856,6966,7029,
7038,7010,6938,6832,6692,6525,6335,6129,5904,5664,5413,5149,4882,4610,4335,4062,3778,3496,3217,2936,
2657,2385,2110,1838,1567,1303,1043,781,527,271,18,-230,-474,-717,-955,-1194,-1431,-1662,-1889,-2114,
-2336,-2560,-2778,-2997,-3213,-3423,-3628,-3831,-4033,-4231,-4420,-4607,-4781,-4948,-5110,-5261,-5399,-5524,-5628,-5717,
-5790,-5841,-5865,-5866,-5833,-5770,-5672,-5535,-5361,-5141,-4871,-4554,-4183,-3766,-3296,-2775,-2207,-1590,-930,-235,
489,1242,2012,2788,3562,4323,5069,5786,6468,7106,7698,8239,8724,9152,9520,9834,10078,10273,10408,10499,
10538,10535,10493,10417,10309,10175,10019,9845,9649,9434,9209,8975,8732,8484,8226,7964,7697,7428,7158,6894,
6623,6355,6087,5820,5559,5302,5044,4793,4541,4296,4057,3821,3591,3362,3137,2917,2701,2489,2286,2083,
1882,1684,1488,1300,1113,929,746,565,383,206,27,-145,-316,-492,-666,-839,-1011,-1181,-1353,-1525,
-1695,-1866,-2035,-2205,-2374,-2545,-2720,-2893,-3070,-3246,-3424,-3601,-3786,-3968,-4157,-4343,-4530,-4718,-4914,-5108,
-5305,-5504,-5701,-5904,-6105,-6306,-6515,-6717,-6921,-7122,-7323,-7528,-7727,-7923,-8115,-8300,-8474,-8648,-8813,-8969,
-9109,-9235,-9345,-9442,-9520,-9580,-9615,-9626,-9603,-9556,-9474,-9362,-9208,-9013,-8772,-8488,-8154,-7772,-7340,-6856,
-6320,-5730,-5095,-4419,-3703,-2955,-2179,-1387,-591,203,988,1750,2485,3173,3822,4414,4949,5428,5841,6192,
6478,6704,6875,6988,7051,7061,7026,6953,6842,6704,6539,6346,6132,5905,5665,5414,5157,4889,4618,4345,
4068,3791,3515,3244,2966,2686,2415,2140,1869,1605,1337,1073,807,547,293,42,-208,-459,-710,-953,
-1189,-1428,-1660,-1889,-2117,-2344,-2563,-2782,-2996,-3207,-3416,-3626,-3826,-4022,-4213,-4397,-4576,-4756,-4922,-5079,
-5227,-5360,-5485,-5595,-5689,-5763,-5814,-5842,-5843,-5817,-5760,-5668,-5533,-5361,-5143,-4878,-4564,-4203,-3781,-3312,
-2793,-2222,-1610,-954,-259,464,1212,1979,2750,3522,4277,5015,5728,6407,7041,7633,8175,8664,9088,9459,
9776,10032,10230,10377,10470,10513,10517,10480,10411,10309,10179,10022,9844,9647,9438,9215,8981,8734,8474,8214,
7953,7687,7421,7148,6880,6611,6342,6081,5820,5558,5303,5048,4797,4554,4315,4077,3846,3614,3388,3166,
2946,2735,2525,2312,2108,1906,1709,1515,1320,1127,938,752,571,391,213,30,-145,-320,-493,-666,
-837,-1009,-1179,-1347,-1519,-1686,-1850,-2018,-2187,-2357,-2525,-2695,-2865,-3042,-3219,-3399,-3582,-3764,-3947,-4134,
-4327,-4520,-4713,-4910,-5105,-5302,-5503,-5705,-5908,-6113,-6313,-6515,-6719,-6919,-7124,-7319,-7520,-7713,-7901,-8088,
-8272,-8450,-8615,-8772,-8919,-9058,-9183,-9295,-9394,-9470,-9524,-9558,-9566,-9554,-9509,-9426,-9311,-9153,-8956,-8719,
-8433,-8097,-7709,-7269,-6776,-6238,-5647,-5010,-4330,-3610,-2862,-2087,-1303,-512,279,1053,1807,2527,3206,3840,
4421,4946,5411,5816,6163,6445,6667,6830,6944,6999,7011,6980,6907,6799,6656,6487,6296,6083,5857,5616,
5359,5095,4824,4552,4279,4002,3720,3441,3159,2885,2608,2336,2067,1795,1527,1264,1004,748,494,239,
-14,-261,-508,-748,-991,-1230,-1468,-1703,-1936,-2161,-2386,-2609,-2832,-3048,-3264,-3477,-3682,-3885,-4085,-4281,
-4470,-4650,-4820,-4983,-5140,-5287,-5418,-5537,-5639,-5724,-5787,-5834,-5856,-5851,-5813,-5742,-5639,-5498,-5317,-5092,
-4817,-4493,-4119,-3696,-3219,-2692,-2112,-1491,-824,-125,606,1357,2127,2898,3669,4427,5159,5870,6543,7169,
7747,8274,8751,9163,9518,9815,10057,10236,10367,10450,10488,10484,10437,10355,10250,10117,9957,9787,9590,9379,
9153,8916,8674,8425,8166,7903,7632,7362,7093,6822,6555,6286,6014,5749,5488,5230,4975,4726,4476,4233,
3995,3765,3537,3314,3092,2872,2660,2456,2248,2049,1850,1657,1461,1271,1087,901,717,532,352,171,
-4,-181,-356,-533,-708,-886,-1055,-1227,-1395,-1565,-1739,-1910,-2076,-2242,-2412,-2578,-2751,-2925,-3100,-3276,
-3449,-3626,-3808,-3992,-4176,-4366,-4553,-4742,-4935,-5135,-5333,-5532,-5733,-5932,-6136,-6343,-6550,-6754,-6959,-7159,
-7360,-7561,-7760,-7952,-8140,-8320,-8493,-8655,-8817,-8964,-9100,-9218,-9321,-9408,-9480,-9529,-9559,-9559,-9533,-9477,
-9389,-9265,-9105,-8904,-8653,-8356,-8011,-7622,-7174,-6678,-6127,-5529,-4881,-4194,-3468,-2714,-1933,-1139,-341,454,
1232,1986,2709,3382,4014,4587,5104,5562,5958,6289,6562,6770,6926,7026,7074,7074,7033,6952,6836,6694,
6523,6334,6120,5887,5646,5395,5135,4870,4596,4321,4043,3760,3486,3209,2933,2651,2371,2101,1830,1562,
1297,1030,767,512,252,4,-243,-490,-737,-979,-1214,-1444,-1678,-1904,-2131,-2355,-2576,-2791,-3002,-3216,
-3429,-3637,-3842,-4036,-4231,-4418,-4601,-4778,-4947,-5105,-5254,-5385,-5506,-5618,-5708,-5776,-5822,-5843,-5837,-5802,
-5735,-5633,-5486,-5299,-5066,-4792,-4467,-4088,-3658,-3177,-2641,-2063,-1436,-772,-67,666,1420,2187,2962,3733,
4493,5230,5932,6607,7238,7823,8352,8827,9244,9598,9894,10134,10321,10451,10527,10560,10547,10500,10418,10307,
10167,10001,9815,9617,9402,9180,8939,8693,8438,8176,7912,7650,7384,7114,6842,6573,6307,6045,5782,5520,
5262,5007,4756,4507,4267,4031,3792,3557,3331,3107,2892,2677,2462,2254,2048,1845,1653,1456,1267,1072,
885,702,521,343,169,-10,-184,-362,-537,-707,-876,-1049,-1224,-1392,-1563,-1730,-1901,-2069,-2240,-2414,
-2587,-2761,-2933,-3109,-3291,-3472,-3655,-3841,-4022,-4208,-4396,-4594,-4787,-4983,-5174,-5373,-5571,-5773,-5974,-6178,
-6382,-6584,-6785,-6991,-7195,-7396,-7595,-7790,-7983,-8172,-8356,-8536,-8708,-8864,-9015,-9152,-9282,-9394,-9490,-9564,
-9615,-9641,-9648,-9628,-9577,-9488,-9362,-9201,-8997,-8748,-8451,-8108,-7709,-7261,-6759,-6210,-5616,-4968,-4279,-3551,
-2796,-2021,-1228,-432,359,1142,1895,2619,3297,3930,4506,5028,5487,5885,6225,6501,6716,6875,6974,7022,
7025,6982,6903,6785,6639,6460,6264,6050,5822,5575,5322,5059,4789,4519,4241,3968,3692,3415,3136,2860,
2587,2318,2045,1778,1510,1245,985,730,475,220,-35,-287,-534,-779,-1021,-1257,-1495,-1733,-1963,-2190,
-2411,-2633,-2854,-3068,-3282,-3489,-3695,-3893,-4090,-4284,-4471,-4648,-4817,-4977,-5134,-5278,-5413,-5530,-5635,-5721,
-5789,-5838,-5861,-5861,-5823,-5752,-5651,-5513,-5328,-5103,-4829,-4503,-4125,-3695,-3215,-2685,-2101,-1475,-805,-100,
631,1387,2157,2931,3699,4456,5193,5899,6569,7201,7779,8303,8778,9192,9550,9850,10088,10272,10404,10488,
10527,10524,10479,10401,10291,10157,10001,9821,9624,9407,9182,8943,8693,8443,8186,7918,7648,7376,7108,6837,
6570,6302,6037,5771,5510,5257,5004,4759,4512,4269,4033,3804,3576,3355,3134,2919,2703,2496,2291,2092,
1891,1691,1495,1301,1114,926,743,561,376,197,20,-154,-331,-507,-682,-855,-1027,-1194,-1361,-1531,
-1699,-1869,-2035,-2201,-2367,-2538,-2710,-2883,-3056,-3232,-3411,-3590,-3770,-3957,-4144,-4334,-4526,-4715,-4914,-5114,
-5314,-5516,-5714,-5916,-6119,-6326,-6533,-6738,-6942,-7142,-7341,-7539,-7735,-7927,-8113,-8289,-8462,-8625,-8785,-8931,
-9066,-9184,-9293,-9381,-9453,-9504,-9537,-9538,-9513,-9458,-9374,-9255,-9095,-8894,-8645,-8348,-8004,-7607,-7164,-6663,
-6112,-5509,-4864,-4176,-3451,-2697,-1922,-1128,-334,457,1232,1983,2695,3373,3994,4566,5078,5534,5927,6261,
6533,6745,6901,7002,7053,7059,7017,6933,6822,6679,6507,6314,6099,5867,5625,5371,5109,4843,4570,4289,
4008,3728,3451,3171,2895,2614,2339,2067,1796,1532,1270,1005,746,488,235,-12,-258,-503,-748,-990,
-1228,-1460,-1693,-1920,-2153,-2376,-2595,-2815,-3030,-3243,-3455,-3665,-3872,-4070,-4263,-4450,-4634,-4808,-4976,-5129,
-5271,-5402,-5519,-5621,-5706,-5768,-5810,-5822,-5813,-5771,-5697,-5586,-5434,-5238,-4998,-4715,-4383,-4001,-3564,-3075,
-2539,-1953,-1319,-650,58,792,1549,2316,3087,3850,4603,5334,6031,6690,7308,7881,8399,8860,9259,9599,
9879,10105,10278,10395,10463,10486,10470,10416,10334,10219,10076,9912,9728,9525,9314,9090,8856,8608,8353,8093,
7831,7568,7298,7029,6758,6486,6217,5952,5693,5431,5168,4916,4663,4416,4176,3936,3704,3471,3243,3024,
2808,2596,2386,2181,1979,1778,1585,1396,1206,1014,830,646,469,289,108,-65,-246,-419,-596,-769,
-944,-1114,-1288,-1460,-1630,-1799,-1969,-2139,-2309,-2480,-2657,-2827,-2998,-3172,-3348,-3531,-3712,-3892,-4075,-4261,
-4448,-4638,-4832,-5027,-5223,-5418,-5616,-5819,-6020,-6226,-6428,-6631,-6834,-7041,-7245,-7450,-7651,-7843,-8034,-8219,
-8408,-8584,-8750,-8908,-9050,-9184,-9301,-9408,-9501,-9565,-9605,-9626,-9627,-9594,-9532,-9434,-9301,-9126,-8915,-8658,
-8353,-7998,-7595,-7132,-6623,-6065,-5455,-4806,-4110,-3378,-2616,-1835,-1045,-249,545,1317,2065,2779,3447,4068,
4630,5132,5574,5954,6275,6539,6742,6884,6969,7006,6998,6950,6860,6739,6585,6406,6208,5990,5762,5522,
5266,5003,4737,4468,4193,3919,3642,3366,5,-170,-662,-1012,-1325,-1447,-1437,-1287,-1065,-780,-508,-197,
215,766,1366,1924,2360,2696,2923,3061,3160,3281,3428,3553,3632,3722,3878,4130,4459,4879,5348,5845,
6275,6670,7015,7336,7579,7770,7850,7855,7776,7647,7504,7384,7287,7222,7170,7136,7111,7116,7124,7125,
7087,7016,6876,6666,6386,6047,5672,5242,4762,4261,3735,3218,2723,2271,1857,1489,1132,790,456,129,
-189,-494,-805,-1139,-1525,-1937,-2371,-2819,-3281,-3732,-4170,-4602,-5072,-5600,-6117,-6549,-6875,-7115,-7299,-7450,
-7597,-7779,-7990,-8177,-8315,-8403,-8507,-8680,-8912,-9217,-9566,-9927,-10226,-10431,-10573,-10712,-10866,-11001,-11087,-11098,
-11027,-10852,-10603,-10338,-10153,-10038,-9950,-9842,-9733,-9615,-9492,-9382,-9338,-9366,-9412,-9379,-9236,-9004,-8710,-8347,
-7962,-7584,-7214,-6784,-6264,-5675,-5098,-4575,-4114,-3741,-3450,-3196,-2941,-2646,-2349,-2098,-1888,-1701,-1499,-1258,
-953,-558,-78,411,871,1305,1733,2183,2643,3108,3572,3991,4331,4580,4769,4961,5183,5412,5659,5910,
6155,6377,6581,6822,7148,7532,7927,8304,8645,8938,9167,9329,9495,9652,9775,9811,9771,9684,9565,9421,
9300,9244,9235,9242,9218,9191,9185,9192,9217,9242,9274,9281,9196,9014,8761,8477,8156,7804,7426,7042,
6633,6188,5730,5308,4958,4667,4402,4174,3967,3771,3550,3315,3092,2884,2640,2338,1973,1575,1128,642,
127,-350,-808,-1263,-1709,-2146,-2531,-2870,-3184,-3449,-3654,-3827,-4014,-4228,-4467,-4697,-4952,-5241,-5544,-5863,
-6190,-6567,-6965,-7350,-7681,-8000,-8275,-8505,-8669,-8796,-8912,-9010,-9056,-9067,-9059,-9074,-9097,-9128,-9193,-9306,
-9441,-9569,-9684,-9792,-9910,-10009,-10059,-10074,-10060,-9978,-9816,-9574,-9305,-9016,-8708,-8368,-8027,-7709,-7399,-7075,
-6771,-6516,-6317,-6126,-5925,-5730,-5527,-5292,-5014,-4704,-4394,-4062,-3681,-3251,-2806,-2353,-1881,-1397,-945,-539,
-159,215,572,909,1202,1481,1750,1990,2221,2471,2759,3091,3436,3788,4164,4557,4962,5369,5791,6239,
6678,7068,7410,7715,7999,8238,8440,8631,8833,9011,9153,9282,9437,9615,9806,10008,10247,10494,10722,10910,
11062,11217,11345,11414,11431,11402,11321,11159,10942,10701,10474,10240,9990,9747,9518,9315,9105,8907,8753,8629,
8503,8347,8166,7966,7730,7442,7115,6765,6390,5980,5509,5015,4532,4064,3604,3160,2750,2390,2028,1667,
1329,1035,764,479,175,-136,-473,-851,-1282,-1718,-2147,-2593,-3064,-3541,-3998,-4446,-4875,-5284,-5641,-5927,
-6200,-6457,-6704,-6914,-7115,-7319,-7527,-7721,-7924,-8180,-8476,-8795,-9099,-9398,-9700,-9986,-10238,-10461,-10676,-10870,
-10999,-11050,-11048,-11018,-10963,-10885,-10789,-10718,-10650,-10570,-10470,-10377,-10325,-10295,-10266,-10236,-10200,-10142,-10023,-9839,
-9625,-9412,-9152,-8843,-8482,-8095,-7672,-7211,-6744,-6321,-5934,-5567,-5193,-4828,-4483,-4150,-3821,-3509,-3235,-2967,
-2672,-2315,-1931,-1540,-1125,-709,-295,106,510,927,1362,1789,2169,2504,2808,3087,3332,3575,3829,4102,
4360,4603,4834,5103,5396,5710,6057,6435,6832,7195,7524,7847,8170,8482,8766,9015,9235,9402,9487,9533,
9585,9642,9710,9749,9791,9848,9884,9903,9944,10022,10120,10196,10231,10229,10191,10101,9968,9810,9641,9441,
9175,8864,8522,8186,7846,7522,7230,6968,6725,6452,6177,5915,5674,5439,5195,4945,4675,4365,3983,3570,
3153,2746,2317,1877,1431,1001,557,104,-309,-664,-974,-1269,-1567,-1849,-2127,-2420,-2722,-3016,-3283,-3569,
-3898,-4264,-4654,-5049,-5455,-5852,-6213,-6527,-6834,-7147,-7442,-7701,-7912,-8088,-8222,-8324,-8404,-8496,-8621,-8763,
-8895,-9017,-9147,-9285,-9415,-9557,-9716,-9884,-10027,-10104,-10124,-10108,-10061,-9978,-9871,-9739,-9597,-9411,-9164,-8906,
-8659,-8444,-8239,-8047,-7871,-7707,-7514,-7282,-7047,-6824,-6611,-6371,-6091,-5785,-5440,-5038,-4593,-4152,-3750,-3352,
-2940,-2525,-2129,-1731,-1347,-979,-667,-396,-137,142,440,751,1068,1405,1744,2075,2404,2771,3177,3617,
4040,4445,4842,5207,5541,5851,6164,6496,6802,7058,7282,7489,7686,7877,8085,8336,8613,8878,9118,9345,
9579,9812,10032,10253,10470,10647,10757,10785,10782,10756,10710,10628,10535,10429,10301,10117,9920,9743,9613,9486,
9375,9253,9123,8962,8759,8545,8338,8127,7896,7605,7277,6917,6517,6083,5659,5264,4892,4508,4105,3715,
3338,2979,2633,2317,2035,1755,1436,1070,699,325,-60,-459,-861,-1259,-1686,-2149,-2634,-3083,-3488,-3866,
-4222,-4549,-4853,-5156,-5472,-5773,-6027,-6244,-6471,-6708,-6962,-7233,-7535,-7866,-8180,-8459,-8733,-9002,-9288,-9561,
-9812,-10043,-10240,-10375,-10449,-10489,-10532,-10586,-10615,-10624,-10619,-10605,-10564,-10516,-10481,-10491,-10514,-10525,-10491,-10423,
-10335,-10213,-10048,-9885,-9712,-9508,-9237,-8911,-8563,-8197,-7831,-7470,-7131,-6817,-6503,-6152,-5789,-5458,-5147,-4850,
-4555,-4274,-3979,-3644,-3266,-2871,-2491,-2121,-1744,-1362,-982,-597,-192,214,586,914,1203,1494,1777,2058,
2341,2633,2915,3188,3430,3682,3980,4313,4667,5034,5403,5785,6135,6466,6803,7165,7519,7859,8151,8418,
8650,8843,9019,9203,9399,9594,9753,9890,10029,10164,10287,10417,10571,10719,10829,10887,10909,10905,10879,10812,
10725,10620,10490,10294,10059,9808,9565,9325,9083,8849,8633,8394,8144,7873,7622,7389,7160,6898,6613,6308,
5976,5598,5203,4807,4427,4020,3595,3158,2722,2296,1873,1474,1112,783,452,107,-241,-565,-897,-1227,
-1564,-1887,-2207,-2575,-2974,-3364,-3748,-4120,-4498,-4855,-5190,-5510,-5848,-6159,-6444,-6678,-6895,-7106,-7304,-7485,
-7680,-7887,-8098,-8283,-8450,-8628,-8831,-9033,-9231,-9424,-9611,-9776,-9882,-9950,-10003,-10050,-10077,-10069,-10028,-9978,
-9891,-9766,-9631,-9519,-9434,-9339,-9220,-9101,-8975,-8831,-8661,-8488,-8322,-8154,-7931,-7663,-7362,-7045,-6704,-6339,
-5970,-5621,-5261,-4874,-4473,-4081,-3718,-3374,-3034,-2731,-2435,-2130,-1796,-1448,-1113,-790,-456,-115,239,600,
989,1413,1829,2218,2587,2943,3302,3654,3986,4331,4666,4979,5252,5504,5769,6061,6345,6634,6936,7236,
7523,7793,8054,8359,8651,8933,9178,9396,9588,9738,9838,9927,10021,10092,10121,10106,10083,10042,9984,9915,
9864,9832,9784,9704,9600,9499,9384,9248,9100,8943,8773,8555,8288,7998,7700,7394,7083,6752,6428,6101,
5755,5389,5042,4717,4419,4112,3806,3498,3179,2841,2481,2126,1784,1435,1060,660,255,-157,-574,-997,
-1385,-1745,-2106,-2477,-2838,-3173,-3493,-3807,-4103,-4381,-4637,-4917,-5233,-5547,-5844,-6138,-6441,-6737,-7024,-7299,
-7599,-7911,-8188,-8427,-8634,-8832,-9001,-9146,-9280,-9425,-9554,-9648,-9722,-9767,-9830,-9896,-9959,-10024,-10101,-10155,
-10182,-10167,-10143,-10119,-10079,-10016,-9920,-9795,-9639,-9432,-9188,-8947,-8717,-8486,-8227,-7957,-7685,-7393,-7098,-6798,
-6532,-6289,-6030,-5728,-5414,-5095,-4750,-4397,-4039,-3702,-3372,-3005,-2600,-2211,-1821,-1448,-1092,-756,-446,-146,
178,509,835,1132,1421,1716,2007,2301,2615,2967,3334,3694,4035,4378,4728,5087,5456,5820,6199,6558,
6875,7164,7437,7721,8008,8273,8534,8799,9030,9233,9416,9614,9831,10040,10224,10401,10549,10658,10721,10772,
10822,10866,10863,10817,10735,10630,10491,10328,10167,10026,9870,9691,9475,9254,9043,8814,8590,8379,8168,7930,
7659,7350,7040,6718,6393,6051,5708,5358,4988,4581,4173,3781,3404,3046,2680,2314,1965,1597,1217,843,
501,174,-172,-536,-901,-1276,-1668,-2071,-2453,-2806,-3159,-3526,-3898,-4265,-4615,-4953,-5284,-5570,-5830,-6091,
-6368,-6645,-6911,-7157,-7404,-7646,-7863,-8075,-8305,-8556,-8803,-9025,-9221,-9408,-9565,-9702,-9828,-9951,-10072,-10157,
-10204,-10203,-10198,-10189,-10174,-10146,-10128,-10106,-10051,-9959,-9854,-9755,-9664,-9553,-9424,-9289,-9119,-8906,-8636,-8359,
-8091,-7814,-7520,-7200,-6866,-6525,-6145,-5762,-5404,-5088,-4760,-4428,-4085,-3742,-3391,-3029,-2664,-2324,-1989,-1649,
-1277,-888,-496,-105,288,658,1015,1360,1715,2085,2450,2788,3114,3419,3715,4000,4294,4606,4939,5266,
5579,5880,6180,6496,6791,7114,7438,7772,8064,8323,8551,8783,8999,9197,9376,9558,9709,9813,9877,9948,
10019,10089,10137,10176,10210,10209,10167,10122,10070,10026,9963,9861,9742,9601,9421,9208,8983,8775,8565,8329,
8065,7792,7503,7208,6905,6618,6346,6071,5773,5454,5127,4799,4471,4128,3795,3465,3117,2734,2339,1935,
1562,1182,803,439,71,-297,-687,-1073,-1431,-1761,-2091,-2418,-2747,-3072,-3405,-3761,-4104,-4416,-4715,-5022,
-5350,-5663,-5975,-6294,-6603,-6885,-7130,-7358,-7596,-7836,-8061,-8267,-8466,-8638,-8791,-8919,-9052,-9196,-9345,-9485,
-9596,-9690,-9775,-9833,-9867,-9908,-9958,-9986,-9973,-9917,-9840,-9739,-9624,-9495,-9363,-9229,-9087,-8894,-8671,-8451,
-8242,-8026,-7802,-7579,-7361,-7107,-6811,-6505,-6206,-5919,-5610,-5288,-4961,-4629,-4259,-3876,-3507,-3168,-2839,-2510,
-2179,-1845,-1512,-1172,-834,-520,-237,58,363,691,1021,1363,1714,2064,2396,2707,3042,3393,3760,4120,
4464,4800,5129,5436,5739,6043,6372,6696,7003,7289,7564,7840,8101,8357,8629,8908,9158,9376,9558,9731,
9893,10024,10150,10271,10365,10422,10420,10395,10375,10339,10287,10216,10143,10050,9908,9743,9581,9428,9267,9088,
8888,8680,8448,8177,7894,7618,7347,7066,6757,6426,6090,5737,5377,5013,4667,4337,3990,3618,3243,2871,
2497,2121,1753,1398,1047,673,276,-117,-502,-889,-1261,-1639,-1994,-2357,-2738,-3118,-3484,-3817,-4148,-4481,
-4789,-5096,-5407,-5729,-6052,-6334,-6598,-6865,-7133,-7400,-7659,-7925,-8192,-8440,-8651,-8838,-9029,-9223,-9407,-9572,
-9729,-9865,-9975,-10051,-10109,-10172,-10240,-10296,-10331,-10345,-10347,-10319,-10273,-10219,-10176,-10126,-10050,-9939,-9799,-9638,
-9466,-9258,-9045,-8836,-8621,-8363,-8068,-7760,-7459,-7147,-6833,-6529,-6231,-5921,-5569,-5210,-4859,-4520,-4177,-3836,
-3486,-3147,-2781,-2389,-1995,-1621,-1267,-917,-553,-204,146,514,880,1225,1554,1856,2168,2490,2816,3142,
3480,3822,4145,4458,4771,5104,5448,5799,6137,6473,6802,7103,7385,7669,7962,8261,8537,8777,9015,9233,
9425,9603,9786,9974,10151,10287,10399,10488,10564,10627,10653,10695,10725,10715,10662,10582,10491,10391,10272,10135,
9999,9846,9656,9444,9212,9000,8775,8540,8295,8044,7774,7476,7158,6841,6537,6236,5911,5576,5228,4873,
4501,4126,3759,3412,3058,2689,2316,1934,1562,1182,808,448,103,-243,-630,-1007,-1369,-1728,-2076,-2430,
-2759,-3083,-3426,-3779,-4116,-4439,-4733,-5034,-5322,-5595,-5870,-6163,-6447,-6708,-6952,-7173,-7397,-7610,-7822,-8035,
-8244,-8448,-8621,-8760,-8896,-9034,-9162,-9276,-9376,-9468,-9534,-9564,-9571,-9573,-9576,-9576,-9547,-9499,-9439,-9354,
-9241,-9117,-9000,-8886,-8764,-8595,-8415,-8215,-8002,-7761,-7521,-7286,-7048,-6779,-6479,-6171,-5850,-5533,-5204,-4882,
-4585,-4283,-3950,-3607,-3262,-2934,-2616,-2295,-1983,-1683,-1362,-1018,-662,-321,11,337,671,1003,1344,1686,
2048,2400,2725,3040,3348,3665,3985,4308,4637,4971,5291,5589,5876,6171,6488,6797,7106,7400,7687,7946,
8179,8390,8613,8837,9039,9207,9352,9479,9580,9647,9706,9781,9837,9868,9854,9834,9799,9736,9653,9575,
9494,9397,9246,9076,8888,8694,8480,8264,8045,7823,7570,7286,6996,6711,6417,6131,5824,5530,5225,4892,
4541,4182,3840,3508,3159,2804,2437,2067,1683,1291,913,556,208,-156,-533,-906,-1272,-1636,-2003,-2348,
-2671,-2999,-3335,-3686,-4033,-4357,-4692,-5009,-5308,-5600,-5896,-6212,-6523,-6811,-7079,-7339,-7589,-7816,-8032,-8263,
-8498,-8712,-8899,-9067,-9225,-9378,-9514,-9646,-9785,-9918,-10026,-10092,-10138,-10185,-10226,-10253,-10266,-10280,-10258,-10210,
-10119,-10013,-9915,-9807,-9680,-9537,-9372,-9195,-8979,-8735,-8497,-8270,-8035,-7783,-7511,-7223,-6929,-6603,-6271,-5955,
-5659,-5340,-5003,-4646,-4290,-3926,-3557,-3196,-2866,-2534,-2196,-1832,-1473,-1128,-783,-450,-135,171,473,801,
1135,1477,1796,2120,2436,2743,3062,3389,3735,4087,4437,4750,5070,5382,5706,6018,6340,6663,6985,7277,
7551,7816,8091,8375,8642,8899,9166,9395,9598,9767,9937,10108,10263,10386,10493,10570,10616,10626,10614,10611,
10607,10572,10514,10434,10331,10214,10071,9929,9797,9641,9465,9252,9028,8787,8528,8261,7989,7721,7434,7121,
6781,6452,6116,5782,5448,5116,4777,4441,4076,3695,3332,2977,2619,2256,1890,1516,1136,730,333,-46,
-408,-777,-1152,-1521,-1883,-2251,-2620,-2972,-3290,-3596,-3914,-4238,-4557,-4869,-5175,-5480,-5768,-6038,-6299,-6585,
-6863,-7136,-7384,-7629,-7859,-8057,-8243,-8436,-8628,-8809,-8962,-9095,-9206,-9310,-9392,-9470,-9538,-9620,-9678,-9701,
-9704,-9701,-9678,-9654,-9613,-9563,-9511,-9426,-9301,-9155,-9009,-8852,-8680,-8489,-8295,-8085,-7841,-7570,-7288,-7020,
-6764,-6483,-6195,-5898,-5598,-5268,-4934,-4611,-4305,-4001,-3680,-3345,-3010,-2668,-2315,-1959,-1627,-1308,-978,-636,
-282,71,414,761,1095,1411,1711,2031,2366,2707,3037,3361,3677,3995,4307,4616,4949,5294,5634,5956,
6257,6554,6848,7133,7406,7680,7950,8193,8402,8590,8778,8953,9120,9269,9422,9551,9648,9710,9765,9810,
9852,9871,9858,9835,9787,9689,9575,9454,9330,9194,9030,8846,8654,8437,8205,7971,7746,7522,7278,7016,
6736,6445,6149,5834,5524,5214,4896,4553,4194,3823,3453,3083,2715,2352,1992,1636,1268,888,515,165,
-188,-532,-881,-1232,-1573,-1939,-2310,-2657,-2991,-3327,-3665,-4002,-4331,-4661,-5000,-5317,-5608,-5877,-6146,-6418,
-6682,-6928,-7183,-7425,-7646,-7843,-8027,-8226,-8424,-8614,-8791,-8962,-9120,-9251,-9364,-9460,-9573,-9673,-9745,-9801,
-9825,-9834,-9820,-9788,-9751,-9716,-9666,-9594,-9479,-9355,-9229,-9080,-8925,-8763,-8611,-8434,-8218,-7970,-7722,-7475,
-7215,-6946,-6672,-6396,-6092,-5756,-5412,-5078,-4763,-4435,-4102,-3776,-3448,-3099,-2745,-2393,-2072,-1765,-1447,-1119,
-807,-476,-144,204,524,834,1143,1460,1797,2136,2470,2814,3146,3466,3771,4085,4413,4753,5081,5404,
5718,6027,6327,6628,6926,7252,7579,7878,8163,8433,8704,8955,9195,9429,9666,9868,10037,10159,10281,10391,
10469,10537,10600,10645,10660,10631,10589,10549,10506,10437,10357,10265,10149,9994,9812,9619,9428,9222,8994,8752,
8483,8208,7902,7588,7281,6981,6678,6369,6038,5705,5368,5023,4679,4334,4002,3658,3281,2898,2515,2120,
1729,1335,950,575,185,-219,-616,-1002,-1367,-1732,-2086,-2419,-2752,-3100,-3456,-3794,-4113,-4423,-4750,-5052,
-5366,-5680,-6001,-6325,-6621,-6891,-7158,-7422,-7671,-7916,-8147,-8379,-8582,-8758,-8913,-9068,-9222,-9366,-9507,-9630,
-9743,-9838,-9907,-9969,-10025,-10090,-10136,-10157,-10151,-10130,-10079,-10013,-9913,-9832,-9734,-9613,-9459,-9288,-9097,-8897,
-8675,-8455,-8240,-8020,-7769,-7492,-7209,-6924,-6628,-6332,-6035,-5736,-5433,-5093,-4735,-4391,-4048,-3706,-3362,-3019,
-2684,-2335,-1971,-1609,-1266,-932,-609,-282,42,367,704,1054,1383,1704,2011,2323,2648,2980,3316,3659,
4000,4330,4644,4950,5267,5595,5915,6224,6522,6819,7075,7324,7572,7824,8075,8317,8528,8726,8921,9090,
9246,9391,9538,9676,9774,9827,9875,9894,9889,9866,9831,9797,9721,9619,9487,9351,9211,9066,8906,8751,
8584,8390,8178,7945,7718,7484,7236,6969,6695,6401,6083,5749,5409,5076,4744,4401,4054,3697,3347,2981,
2629,2283,1950,1624,1278,923,567,213,-142,-509,-858,-1210,-1560,-1930,-2304,-2662,-3014,-3353,-3682,-3998,
-4300,-4602,-4912,-5202,-5484,-5743,-5998,-6250,-6483,-6715,-6964,-7213,-7449,-7658,-7858,-8060,-8253,-8426,-8602,-8762,
-8915,-9036,-9119,-9194,-9259,-9317,-9361,-9383,-9401,-9400,-9370,-9313,-9253,-9203,-9144,-9067,-8971,-8865,-8734,-8574,
-8401,-8221,-8048,-7858,-7630,-7387,-7135,-6859,-6579,-6282,-5995,-5718,-5423,-5109,-4784,-4462,-4143,-3818,-3506,-3207,
-2910,-2590,-2257,-1912,-1613,-1286,-966,-651,-349,-19,312,661,994,1310,1627,1937,2255,2573,2889,3218,
3549,3858,4162,4458,4769,5084,5397,5723,6054,6377,6685,6979,7275,7585,7889,8178,8452,8703,8945,9145,
9329,9510,9689,9845,9971,10077,10170,10240,10283,10320,10363,10393,10399,10368,10324,10262,10177,10064,9950,9821,
9671,9479,9265,9037,8800,8545,8290,8025,7767,7488,7184,6872,6567,6263,5963,5646,5328,5007,4657,4290,
3917,3541,3174,2796,2409,2016,1614,1213,803,406,26,-331,-704,-1072,-1436,-1797,-2153,-2509,-2848,-3179,
-3503,-3842,-4190,-4537,-4872,-5210,-5540,-5844,-6147,-6442,-6751,-7047,-7315,-7572,-7812,-8027,-8238,-8425,-8615,-8812,
-8996,-9153,-9297,-9436,-9564,-9686,-9798,-9914,-10024,-10109,-10164,-10192,-10211,-10219,-10208,-10172,-10137,-10074,-9984,-9867,
-9721,-9585,-9446,-9293,-9121,-8943,-8753,-8529,-8279,-8040,-7809,-7573,-7314,-7032,-6739,-6441,-6109,-5778,-5453,-5145,
-4827,-4487,-4139,-3791,-3442,-3096,-2755,-2432,-2128,-1806,-1467,-1136,-810,-483,-167,155,458,767,1095,1433,
1775,2110,2426,2753,3073,3390,3718,4053,4396,4729,5035,5334,5630,5930,6226,6523,6822,7120,7394,7656,
7902,8155,8403,8647,8870,9093,9289,9453,9587,9711,9827,9928,9989,10035,10058,10050,10009,9954,9900,9847,
9773,9677,9566,9440,9297,9137,8973,8810,8630,8424,8199,7942,7677,7399,7101,6802,6504,6189,5858,5511,
5168,4826,4487,4153,3822,3494,3160,2811,2452,2103,1757,1411,1053,691,329,-49,-434,-822,-1198,-1550,
-1900,-2262,-2603,-2941,-3273,-3599,-3911,-4195,-4471,-4747,-5030,-5303,-5580,-5843,-6120,-6370,-6611,-6848,-7100,-7345,
-7579,-7789,-7989,-8181,-8342,-8481,-8621,-8753,-8870,-8965,-9038,-9102,-9146,-9176,-9199,-9219,-9244,-9253,-9236,-9198,
-9149,-9085,-9017,-8921,-8824,-8718,-8576,-8409,-8210,-8005,-7793,-7581,-7343,-7101,-6851,-6586,-6292,-6000,-5723,-5447,
-5159,-4874,-4569,-4267,-3952,-3623,-3303,-3002,-2694,-2375,-2047,-1717,-1388,-1044,-703,-377,-65,248,579,911,
1232,1557,1875,2185,2489,2786,3093,3416,3740,4060,4377,4693,5003,5320,5630,5955,6284,6604,6911,7192,
7466,7737,7989,8228,8465,8690,8895,9061,9214,9360,9499,9625,9734,9840,9923,9981,10012,10025,10038,10029,
9998,9941,9870,9766,9629,9462,9300,9119,8934,8729,8502,8274,8024,7765,7500,7245,6994,6729,6443,6143,
5839,5523,5193,4857,4520,4173,3807,3431,3041,2648,2267,1881,1501,1131,763,389,10,-367,-715,-1058,
-1403,-1747,-2088,-2430,-2786,-3147,-3488,-3825,-4161,-4497,-4833,-5163,-5484,-5806,-6118,-6400,-6663,-6916,-7175,-7418,
-7646,-7868,-8084,-8278,-8460,-8629,-8807,-8987,-9155,-9309,-9454,-9584,-9697,-9783,-9866,-9941,-10005,-10048,-10059,-10044,
-10014,-9959,-9883,-9807,-9722,-9632,-9514,-9371,-9212,-9055,-8878,-8698,-8508,-8313,-8108,-7864,-7601,-7328,-7052,-6769,
-6473,-6175,-5861,-5542,-5199,-4852,-4509,-4179,-3861,-3531,-3202,-2880,-2546,-2208,-1879,-1565,-1263,-959,-639,-323,
-1,325,663,980,1289,1592,1910,2230,2564,2889,3210,3534,3836,4133,4433,4742,5061,5378,5682,5981,
6275,6562,6843,7134,7428,7727,8002,8267,8511,8747,8966,9167,9367,9553,9714,9836,9926,10002,10063,10110,
10122,10147,10149,10129,10074,10007,9942,9867,9768,9664,9550,9413,9242,9046,8841,8633,8404,8160,7894,7618,
7325,7009,6685,6371,6064,5756,5432,5102,4771,4438,4095,3753,3416,3082,2743,2378,2005,1623,1242,856,
471,91,-274,-649,-1040,-1424,-1794,-2139,-2483,-2816,-3126,-3435,-3757,-4070,-4387,-4674,-4959,-5250,-5538,-5818,
-6100,-6391,-6680,-6943,-7187,-7423,-7649,-7862,-8067,-8256,-8440,-8601,-8734,-8839,-8945,-9046,-9140,-9222,-9292,-9363,
-9405,-9433,-9450,-9452,-9467,-9455,-9428,-9376,-9303,-9210,-9090,-8950,-8816,-8666,-8501,-8303,-8086,-7860,-7634,-7381,
-7137,-6895,-6660,-6390,-6108,-5825,-5529,-5239,-4930,-4638,-4339,-4035,-3705,-3365,-3027,-2703,-2374,-2053,-1730,-1419,
-1098,-760,-424,-111,194,491,802,1103,1406,1721,2038,2354,2656,2950,3257,3568,3883,4202,4529,4848,
5170,5470,5759,6054,6354,6648,6927,7190,7447,7678,7895,8105,8316,8523,8712,8882,9034,9179,9302,9409,
9509,9604,9682,9730,9738,9731,9700,9651,9578,9498,9404,9282,9130,8955,8787,8609,8413,8214,8020,7813,
7584,7343,7081,6819,6560,6283,5989,5689,5372,5037,4680,4323,3962,3615,3253,2890,2519,2155,1787,1421,
1071,728,390,48,-306,-658,-1000,-1357,-1703,-2061,-2395,-2743,-3097,-3457,-3794,-4132,-4455,-4777,-5077,-5359,
-5643,-5925,-6200,-6452,-6685,-6914,-7134,-7344,-7547,-7758,-7974,-8168,-8347,-8514,-8679,-8830,-8970,-9106,-9231,-9335,
-9415,-9460,-9499,-9522,-9526,-9523,-9501,-9470,-9415,-9341,-9248,-9145,-9053,-8946,-8820,-8684,-8533,-8360,-8168,-7960,
-7751,-7536,-7306,-7051,-6780,-6493,-6198,-5893,-5584,-5285,-4993,-4686,-4372,-4047,-3730,-3422,-3104,-2798,-2502,-2211,
-1898,-1579,-1262,-950,-644,-337,-24,274,587,902,1230,1547,1855,2162,2462,2765,3065,3375,3687,4001,
4302,4595,4897,5195,5502,5809,6118,6428,6737,7026,7305,7584,7867,8138,8399,8646,8869,9077,9251,9406,
9550,9694,9808,9899,9969,10024,10055,10064,10068,10075,10063,10030,9972,9888,9798,9684,9544,9403,9246,9075,
8866,8630,8386,8135,7860,7576,7297,7013,6719,6407,6085,5771,5457,5140,4824,4502,4163,3819,3460,3094,
2719,2359,1987,1601,1213,823,425,27,-367,-734,-1091,-1456,-1813,-2164,-2513,-2847,-3181,-3511,-3814,-4118,
-4432,-4756,-5075,-5381,-5688,-5993,-6280,-6559,-6825,-7107,-7376,-7618,-7840,-8051,-8244,-8422,-8577,-8744,-8898,-9040,
-9166,-9270,-9366,-9453,-9535,-9607,-9676,-9735,-9775,-9790,-9778,-9755,-9718,-9665,-9596,-9515,-9409,-9279,-9121,-8944,
-8770,-8585,-8396,-8184,-7959,-7742,-7495,-7228,-6964,-6715,-6451,-6174,-5887,-5581,-5275,-4941,-4619,-4293,-3970,-3656,
-3327,-2979,-2647,-2309,-1979,-1651,-1338,-1044,-726,-406,-84,229,543,852,1156,1455,1753,2069,2394,2717,
3034,3342,3659,3960,4263,4575,4894,5211,5525,5808,6085,6363,6639,6905,7171,7427,7687,7920,8138,8341,
8543,8745,8938,9100,9264,9401,9511,9595,9659,9721,9760,9775,9760,9729,9679,9595,9489,9384,9282,9161,
9016,8859,8695,8514,8316,8116,7916,7708,7477,7219,6947,6664,6370,6057,5743,5428,5096,4758,4396,4039,
3684,3334,2990,2644,2299,1961,1610,1255,902,558,213,-132,-490,-844,-1203,-1574,-1944,-2302,-2646,-2985,
-3332,-3665,-3982,-4302,-4614,-4906,-5187,-5439,-5700,-5966,-6214,-6461,-6694,-6936,-7159,-7367,-7574,-7784,-7991,-8190,
-8364,-8524,-8672,-8795,-8900,-8997,-9079,-9154,-9207,-9230,-9244,-9239,-9214,-9190,-9152,-9111,-9062,-8983,-8894,-8780,
-8663,-8537,-8394,-8238,-8076,-7885,-7669,-7426,-7181,-6932,-6676,-6406,-6129,-5844,-5557,-5245,-4933,-4634,-4347,-4042,
-3741,-3436,-3131,-2817,-2496,-2179,-1886,-1581,-1272,-955,-644,-326,-11,313,622,912,1212,1525,1833,2142,
2447,2750,3044,3339,3629,3919,4229,4540,4844,5151,5451,5751,6050,6344,6637,6942,7237,7519,7776,8027,
8271,8495,8709,8909,9099,9266,9408,9516,9623,9722,9804,9866,9923,9963,9978,9965,9936,9904,9855,9788,
9698,9585,9459,9291,9109,8914,8714,8494,8263,8008,7749,7476,7189,6903,6614,6335,6037,5726,5409,5089,
4761,4418,4072,3732,3376,3006,2624,2233,1842,1457,1066,679,299,-74,-454,-833,-1205,-1566,-1911,-2254,
-2595,-2931,-3261,-3601,-3946,-4277,-4594,-4911,-5231,-5552,-5859,-6166,-6472,-6765,-7026,-7278,-7521,-7762,-7985,-8192,
-8386,-8579,-8746,-8900,-9032,-9175,-9314,-9438,-9554,-9664,-9744,-9828,-9871,-9912,-9950,-9972,-9967,-9943,-9890,-9824,
-9736,-9628,-9509,-9386,-9241,-9098,-8915,-8722,-8524,-8307,-8089,-7862,-7635,-7389,-7124,-6834,-6547,-6250,-5953,-5647,
-5340,-5021,-4697,-4355,-4010,-3673,-3352,-3027,-2701,-2380,-2068,-1747,-1416,-1092,-785,-486,-181,128,434,746,
1063,1384,1697,1998,2296,2606,2920,3238,3557,3870,4185,4481,4779,5077,5380,5686,5988,6277,6561,6833,
7106,7366,7623,7888,8148,8386,8611,8818,9013,9194,9356,9510,9656,9773,9857,9911,9954,9975,9980,9964,
9943,9901,9840,9749,9633,9528,9415,9282,9139,8983,8810,8618,8400,8170,7940,7698,7431,7155,6864,6554,
6231,5899,5566,5240,4908,4570,4221,3878,3528,3180,2832,2485,2144,1804,1435,1074,705,328,-37,-406,
-777,-1139,-1510,-1880,-2252,-2608,-2948,-3278,-3602,-3906,-4211,-4512,-4810,-5103,-5375,-5635,-5904,-6162,-6412,-6664,
-6918,-7171,-7399,-7608,-7809,-8011,-8195,-8368,-8520,-8675,-8799,-8897,-8973,-9041,-9105,-9153,-9189,-9217,-9226,-9222,
-9195,-9164,-9119,-9074,-9014,-8932,-8837,-8718,-8577,-8419,-8245,-8067,-7878,-7673,-7441,-7194,-6941,-6679,-6408,-6131,
-5860,-5587,-5312,-5014,-4703,-4406,-4102,-3798,-3504,-3194,-2892,-2578,-2253,-1929,-1618,-1300,-988,-680,-376,-69,
249,568,871,1168,1464,1759,2059,2351,2658,2966,3262,3563,3849,4144,4444,4754,5056,5367,5668,5968,
6253,6534,6804,7086,7354,7609,7842,8074,8281,8468,8644,8809,8975,9126,9250,9346,9447,9510,9565,9610,
9649,9670,9662,9626,9577,9508,9417,9301,9178,9043,8888,8695,8488,8279,8064,7823,7584,7339,7091,6824,
6547,6254,5967,5674,5369,5058,4741,4407,4063,3701,3336,2966,2600,2230,1855,1469,1088,712,332,-38,
-397,-752,-1100,-1459,-1814,-2161,-2507,-2848,-3187,-3516,-3850,-4186,-4528,-4854,-5181,-5496,-5805,-6104,-6383,-6658,
-6934,-7199,-7441,-7662,-7876,-8086,-8275,-8453,-8635,-8813,-8978,-9124,-9247,-9378,-9498,-9604,-9693,-9778,-9847,-9892,
-9897,-9898,-9887,-9862,-9803,-9750,-9661,-9569,-9447,-9309,-9163,-9007,-8847,-8674,-8473,-8275,-8057,-7821,-7569,-7311,
-7056,-6795,-6500,-6197,-5887,-5572,-5243,-4916,-4587,-4275,-3953,-3620,-3280,-2952,-2632,-2310,-1992,-1681,-1382,-1072,
-749,-425,-120,186,490,796,1091,1403,1715,2035,2347,2646,2946,3250,3549,3847,4151,4466,4772,5074,
5357,5648,5936,6232,6527,6807,7101,7372,7637,7892,8133,8384,8622,8841,9056,9247,9413,9558,9681,9795,
9898,9976,10029,10061,10078,10071,10044,10000,9960,9899,9830,9725,9612,9484,9342,9178,9015,8828,8636,8410,
8170,7902,7641,7356,7065,6766,6464,6146,5817,5484,5156,4818,4487,4152,3812,3471,3119,2762,2397,2032,
1667,1311,935,549,166,-214,-603,-984,-1357,-1709,-2068,-2425,-2770,-3107,-3438,-3761,-4074,-4375,-4662,-4961,
-5263,-5552,-5834,-6113,-6389,-6648,-6904,-7145,-7398,-7640,-7861,-8061,-8253,-8421,-8580,-8713,-8840,-8968,-9081,-9160,
-9231,-9287,-9336,-9370,-9391,-9413,-9427,-9415,-9377,-9319,-9255,-9181,-9089,-8978,-8854,-8713,-8545,-8356,-8145,-7933,
-7713,-7493,-7249,-6999,-6739,-6460,-6178,-5892,-5612,-5333,-5047,-4743,-4428,-4126,-3801,-3475,-3158,-2854,-2543,-2222,
-1902,-1581,-1267,-945,-627,-327,-36,260,575,872,1180,1476,1772,2067,2351,2636,2935,3240,3538,3846,
4138,4437,4725,5017,5303,5607,5900,6186,6465,6724,6974,7221,7462,7690,7915,8127,8324,8493,8649,8800,
8942,9078,9189,9288,9374,9431,9465,9481,9495,9493,9460,9402,9332,9234,9114,8969,8820,8677,8508,8318,
8120,7911,7686,7451,7213,6975,6728,6463,6185,5893,5597,5283,4963,4632,4299,3955,3606,3237,2868,2501,
2129,1761,1402,1043,681,323,-44,-400,-745,-1096,-1440,-1787,-2134,-2482,-2833,-3186,-3530,-3861,-4183,-4516,
-4839,-5151,-5461,-5760,-6045,-6316,-6569,-6811,-7059,-7288,-7506,-7714,-7920,-8118,-8289,-8454,-8624,-8791,-8935,-9072,
-9192,-9306,-9388,-9459,-9507,-9569,-9598,-9603,-9591,-9554,-9506,-9433,-9353,-9262,-9159,-9049,-8913,-8763,-8602,-8427,
-8239,-8049,-7835,-7611,-7379,-7129,-6849,-6571,-6292,-6000,-5699,-5392,-5080,-4768,-4440,-4107,-3791,-3480,-3161,-2854,
-2529,-2217,-1906,-1583,-1266,-971,-665,-363,-57,253,557,861,1172,1475,1766,2057,2352,2656,2957,3258,
3553,3850,4140,4423,4712,5015,5311,5607,5901,6184,6469,6752,7025,7301,7578,7845,8095,8335,8557,8777,
8973,9160,9333,9492,9623,9735,9816,9887,9951,9997,10011,10022,10014,9986,9930,9870,9796,9719,9609,9488,
9349,9194,9015,8812,8601,8376,8149,7897,7624,7339,7047,6736,6432,6115,5808,5487,5156,4827,4484,4143,
3798,3441,3094,2740,2371,1994,1616,1223,841,452,63,-320,-704,-1080,-1458,-1843,-2199,-2549,-2895,-3231,
-3562,-3881,-4207,-4531,-4846,-5146,-5445,-5745,-6041,-6334,-6615,-6898,-7178,-7429,-7673,-7893,-8120,-8326,-8516,-8693,
-8863,-9008,-9136,-9245,-9355,-9454,-9541,-9617,-9681,-9725,-9761,-9773,-9774,-9770,-9752,-9715,-9658,-9576,-9479,-9361,
-9224,-9073,-8914,-8739,-8550,-8337,-8104,-7876,-7630,-7377,-7123,-6865,-6590,-6309,-6005,-5698,-5396,-5093,-4776,-4460,
-4147,-3827,-3492,-3156,-2821,-2506,-2191,-1865,-1552,-1245,-920,-603,-291,7,297,598,899,1195,1494,1798,
2101,2398,2686,2973,3272,3569,3875,4182,4476,4776,5063,5352,5627,5911,6197,6479,6743,6994,7236,7462,
7691,7902,8114,8321,8507,8670,8825,8964,9089,9195,9292,9385,9450,9486,9496,9490,9469,9430,9366,9288,
9201,9093,8961,8805,8647,8490,8307,8123,7933,7721,7506,7258,7012,6760,6500,6220,5934,5629,5314,4984,
4643,4307,3967,3620,3276,2916,2560,2206,1843,1490,1140,799,461,110,-242,-599,-955,-1300,-1654,-2002,
-2343,-2686,-3034,-3385,-3717,-4042,-4362,-4673,-4964,-5249,-5530,-5808,-6078,-6324,-6560,-6793,-7017,-7232,-7436,-7649,
-7856,-8040,-8204,-8371,-8522,-8655,-8788,-8903,-9007,-9091,-9155,-9194,-9221,-9223,-9225,-9209,-9180,-9126,-9062,-8974,
-8880,-8771,-8657,-8535,-8392,-8238,-8060,-7868,-7666,-7434,-7206,-6968,-6715,-6448,-6167,-5868,-5570,-5263,-4952,-4645,
-4347,-4031,-3716,-3385,-3073,-2763,-2444,-2136,-1830,-1527,-1212,-891,-574,-271,40,339,638,935,1231,1542,
1848,2146,2433,2721,3011,3305,3588,3884,4176,4465,4754,5026,5307,5596,5880,6170,6453,6731,7007,7271,
7524,7769,8014,8261,8487,8695,8892,9072,9219,9362,9483,9607,9711,9778,9835,9881,9901,9911,9905,9885,
9857,9809,9728,9639,9536,9414,9272,9114,8944,8761,8546,8319,8075,7823,7567,7288,7009,6729,6427,6120,
5804,5493,5177,4854,4523,4195,3849,3490,3130,2758,2392,2022,1646,1261,874,481,99,-291,-678,-1041,
-1409,-1773,-2133,-2492,-2830,-3174,-3505,-3839,-4158,-4470,-4798,-5124,-5440,-5745,-6043,-6342,-6637,-6905,-7176,-7439,
-7687,-7927,-8141,-8340,-8535,-8709,-8869,-9027,-9173,-9298,-9417,-9512,-9607,-9694,-9756,-9810,-9860,-9896,-9902,-9891,
-9861,-9813,-9760,-9673,-9583,-9465,-9336,-9178,-9009,-8822,-8627,-8426,-8212,-7980,-7738,-7484,-7220,-6942,-6665,-6385,
-6097,-5792,-5477,-5158,-4839,-4511,-4179,-3850,-3531,-3208,-2874,-2539,-2212,-1895,-1572,-1257,-954,-651,-343,-35,
277,573,870,1165,1457,1746,2043,2338,2641,2938,3225,3517,3802,4086,4384,4670,4967,5262,5550,5820,
6096,6363,6627,6886,7141,7389,7621,7848,8054,8258,8459,8646,8817,8978,9116,9240,9335,9424,9488,9549,
9578,9590,9573,9546,9498,9422,9334,9245,9141,9018,8877,8722,8558,8385,8190,7997,7796,7578,7334,7075,
6803,6529,6236,5935,5623,5307,4980,4640,4289,3944,3601,3251,2906,2559,2212,1863,1496,1148,791,442,
88,-272,-633,-999,-1364,-1734,-2098,-2459,-2798,-3144,-3483,-3824,-4154,-4468,-4781,-5073,-5357,-5628,-5903,-6169,
-6433,-6679,-6929,-7165,-7390,-7594,-7821,-8032,-8229,-8413,-8575,-8735,-8867,-8988,-9088,-9179,-9263,-9326,-9363,-9382,
-9389,-9379,-9359,-9323,-9283,-9231,-9156,-9064,-8963,-8839,-8703,-8563,-8401,-8229,-8033,-7822,-7590,-7339,-7087,-6826,
-6550,-6271,-5985,-5678,-5373,-5060,-4744,-4430,-4121,-3815,-3493,-3172,-2855,-2531,-2203,-1881,-1570,-1264,-945,-632,
-316,0,308,619,922,1209,1505,1807,2109,2407,2703,2991,3282,3563,3844,4134,4434,4723,5019,5302,
5586,5866,6143,6422,6702,6976,7248,7498,7736,7967,8192,8402,8601,8781,8955,9106,9232,9348,9445,9541,
9615,9673,9713,9748,9748,9732,9708,9667,9615,9544,9444,9331,9201,9046,8876,8684,8496,8289,8060,7821,
7567,7309,7032,6749,6476,6191,5899,5595,5274,4959,4627,4288,3945,3596,3244,2883,2502,2121,1746,1360,
982,604,224,-145,-523,-894,-1261,-1623,-1970,-2316,-2655,-3006,-3342,-3683,-4015,-4355,-4679,-4995,-5317,-5637,
-5941,-6244,-6535,-6827,-7095,-7338,-7579,-7823,-8040,-8253,-8442,-8630,-8801,-8951,-9093,-9232,-9369,-9482,-9586,-9676,
-9754,-9815,-9853,-9888,-9904,-9905,-9885,-9841,-9782,-9701,-9602,-9486,-9355,-9212,-9057,-8878,-8690,-8485,-8266,-8038,
-7802,-7558,-7306,-7038,-6760,-6456,-6152,-5850,-5543,-5222,-4901,-4573,-4241,-3901,-3552,-3225,-2906,-2580,-2257,-1932,
-1609,-1301,-974,-658,-360,-63,242,549,856,1148,1452,1753,2050,2338,2629,2923,3220,3516,3805,4102,
4393,4676,4965,5246,5538,5822,6098,6369,6633,6891,7147,7392,7635,7873,8103,8314,8514,8694,8876,9037,
9181,9314,9430,9524,9597,9632,9666,9685,9684,9659,9624,9567,9496,9398,9295,9184,9063,8919,8768,8600,
8424,8226,8006,7779,7544,7297,7033,6746,6458,6154,5837,5516,5192,4864,4529,4191,3846,3502,3156,2810,
2459,2112,1764,1405,1043,674,300,-67,-437,-809,-1177,-1550,-1917,-2285,-2647,-3003,-3337,-3675,-3993,-4319,
-4627,-4927,-5228,-5526,-5796,-6063,-6335,-6601,-6865,-7114,-7368,-7609,-7835,-8041,-8246,-8439,-8623,-8786,-8937,-9073,
-9183,-9280,-9358,-9422,-9484,-9524,-9546,-9562,-9558,-9540,-9503,-9452,-9397,-9329,-9246,-9139,-9017,-8872,-8715,-8536,
-8344,-8142,-7921,-7686,-7435,-7163,-6891,-6605,-6320,-6025,-5727,-5428,-5118,-4795,-4475,-4155,-3838,-3523,-3194,-2875,
-2554,-2217,-1885,-1555,-1243,-934,-609,-292,10,327,643,955,1247,1540,1828,2122,2411,2702,2990,3284,
3570,3854,4136,4418,4704,4989,5283,5563,5849,6120,6386,6652,6916,7170,7425,7658,7879,8090,8285,8464,
8638,8796,8952,9088,9204,9297,9380,9452,9506,9549,9583,9597,9585,9544,9496,9426,9340,9240,9124,8989,
8834,8662,8461,8262,8050,7834,7606,7371,7122,6868,6597,6318,6037,5758,5461,5155,4828,4502,4161,3809,
3455,3102,2735,2370,1998,1625,1253,880,506,144,-211,-563,-921,-1276,-1628,-1976,-2326,-2665,-3012,-3341,
-3680,-4015,-4356,-4684,-5008,-5319,-5630,-5924,-6207,-6483,-6757,-7025,-7263,-7488,-7709,-7914,-8110,-8299,-8478,-8656,
-8816,-8954,-9092,-9221,-9326,-9432,-9516,-9589,-9646,-9676,-9688,-9685,-9664,-9627,-9568,-9499,-9412,-9302,-9173,-9033,
-8876,-8719,-8543,-8349,-8149,-7934,-7697,-7458,-7201,-6933,-6665,-6385,-6089,-5782,-5459,-5140,-4811,-4485,-4154,-3835,
-3502,-3172,-2836,-2504,-2181,-1858,-1536,-1225,-925,-612,-300,19,316,612,915,1211,1503,1802,2099,2405,
2696,2986,3270,3563,3846,4130,4422,4719,5001,5281,5555,5831,6106,6371,6639,6912,7163,7416,7661,7889,
8114,8332,8539,8738,8918,9071,9227,9347,9453,9546,9626,9685,9724,9739,9741,9720,9690,9637,9581,9510,
9422,9312,9193,9061,8908,8746,8568,8378,8180,7948,7702,7449,7178,6903,6614,6314,6019,5698,5370,5047,
4713,4387,4048,3716,3376,3032,2672,2321,1961,1602,1237,868,489,115,-267,-644,-1025,-1398,-1764,-2126,
-2483,-2839,-3183,-3519,-3842,-4174,-4483,-4789,-5087,-5386,-5689,-5980,-6261,-6538,-6811,-7077,-7332,-7580,-7826,-8054,
-8270,-8461,-8641,-8816,-8973,-9100,-9228,-9342,-9434,-9517,-9575,-9627,-9671,-9692,-9706,-9709,-9701,-9667,-9616,-9551,
-9473,-9378,-9267,-9138,-8985,-8816,-8624,-8420,-8198,-7969,-7725,-7482,-7210,-6937,-6650,-6358,-6059,-5752,-5444,-5143,
-4828,-4501,-4177,-3848,-3521,-3190,-2863,-2544,-2216,-1884,-1559,-1231,-911,-598,-289,19,317,617,921,1218,
1514,1802,2088,2380,2656,2944,3229,3527,3813,4096,4377,4663,4941,5229,5507,5793,6068,6338,6588,6846,
7086,7328,7553,7774,7986,8181,8354,8525,8676,8820,8957,9073,9183,9265,9337,9388,9421,9439,9453,9438,
9406,9348,9272,9180,9068,8933,8800,8650,8486,8301,8105,7901,7690,7467,7237,6995,6753,6491,6205,5921,
5636,5329,5024,4701,4373,4032,3684,3325,2977,2614,2259,1902,1542,1189,831,473,119,-236,-579,-926,
-1272,-1617,-1967,-2317,-2668,-3012,-3354,-3686,-4014,-4343,-4671,-4992,-5293,-5595,-5880,-6150,-6411,-6665,-6914,-7157,
-7384,-7590,-7803,-7995,-8183,-8357,-8537,-8706,-8858,-8994,-9119,-9227,-9319,-9392,-9452,-9505,-9536,-9537,-9522,-9495,
-9439,-9383,-9298,-9210,-9108,-8988,-8843,-8699,-8522,-8352,-8158,-7957,-7743,-7506,-7256,-6994,-6709,-6426,-6132,-5827,
-5520,-5197,-4873,-4548,-4206,-3873,-3542,-3216,-2892,-2564,-2228,-1911,-1582,-1249,-930,-621,-308,-1,317,626,
937,1246,1547,1846,2140,2430,2730,3026,3316,3607,3896,4178,4461,4732,5021,5302,5582,5860,6128,6397,
6660,6916,7169,7431,7671,7914,8142,8347,8545,8736,8914,9076,9224,9354,9465,9550,9621,9673,9718,9743,
9755,9747,9728,9684,9626,9555,9470,9383,9268,9137,8994,8829,8652,8448,8241,8024,7786,7533,7266,6993,
6704,6406,6103,5801,5499,5179,4860,4529,4200,3862,3519,3173,2826,2470,2109,1734,1359,983,604,215,
-153,-540,-909,-1286,-1650,-2022,-2374,-2725,-3055,-3399,-3733,-4055,-4377,-4698,-5012,-5318,-5615,-5922,-6218,-6504,
-6790,-7064,-7338,-7589,-7828,-8054,-8273,-8474,-8668,-8835,-9001,-9147,-9269,-9382,-9490,-9585,-9662,-9731,-9781,-9824,
-9847,-9852,-9847,-9823,-9788,-9736,-9656,-9566,-9448,-9312,-9158,-8992,-8807,-8613,-8391,-8163,-7918,-7662,-7400,-7131,
-6846,-6562,-6270,-5972,-5654,-5327,-5002,-4685,-4344,-4018,-3684,-3351,-3006,-2655,-2320,-1993,-1662,-1336,-1015,-693,
-373,-55,257,559,856,1157,1455,1750,2045,2336,2629,2920,3203,3490,3776,4067,4362,4649,4932,5219,
5491,5767,6036,6312,6577,6833,7084,7322,7540,7772,7980,8180,8377,8558,8727,8880,9016,9147,9257,9350,
9433,9503,9545,9574,9572,9556,9527,9483,9410,9324,9224,9110,8971,8825,8667,8504,8322,8131,7930,7715,
7489,7245,7004,6747,6481,6196,5897,5592,5278,4942,4608,4267,3933,3583,3226,2869,2512,2152,1798,1441,
1086,736,385,21,-334,-697,-1051,-1411,-1765,-2122,-2478,-2832,-3187,-3541,-3878,-4208,-4528,-4844,-5156,-5457,
-5748,-6032,-6305,-6561,-6815,-7052,-7296,-7525,-7746,-7961,-8171,-8370,-8546,-8718,-8880,-9035,-9169,-9286,-9392,-9478,
-9540,-9581,-9607,-9627,-9628,-9604,-9572,-9523,-9457,-9373,-9270,-9169,-9047,-8915,-8766,-8597,-8409,-8212,-7997,-7766,
-7527,-7267,-7003,-6713,-6415,-6102,-5790,-5469,-5154,-4824,-4495,-4171,-3826,-3490,-3156,-2833,-2504,-2173,-1845,-1522,
-1192,-860,-538,-219,95,411,722,1032,1339,1651,1954,2250,2541,2823,3115,3400,3689,3976,4262,4545,
4816,5087,5364,5637,5916,6187,6452,6712,6974,7214,7454,7694,7923,8149,8346,8535,8705,8866,9003,9134,
9244,9351,9429,9496,9535,9569,9590,9593,9574,9557,9519,9458,9375,9279,9173,9049,8906,8751,8579,8391,
8183,7952,7716,7474,7221,6954,6689,6408,6117,5813,5510,5212,4900,4582,4260,3932,3593,3241,2882,2524,
2165,1792,1426,1047,674,290,-101,-470,-838,-1199,-1559,-1908,-2266,-2612,-2957,-3289,-3616,-3948,-4267,-4585,
-4907,-5223,-5541,-5848,-6143,-6440,-6723,-6988,-7265,-7513,-7765,-7991,-8202,-8400,-8591,-8757,-8922,-9070,-9217,-9344,
-9452,-9549,-9635,-9713,-9777,-9825,-9862,-9886,-9882,-9862,-9827,-9768,-9699,-9610,-9499,-9371,-9225,-9056,-8870,-8669,
-8465,-8242,-8015,-7767,-7514,-7242,-6963,-6669,-6376,-6077,-5768,-5450,-5119,-4781,-4447,-4106,-3764,-3418,-3080,-2741,
-2397,-2047,-1714,-1385,-1053,-729,-414,-106,210,531,841,1137,1444,1739,2039,2333,2626,2923,3230,3517,
3809,4101,4393,4679,4963,5246,5539,5818,6089,6356,6614,6867,7119,7364,7600,7832,8046,8255,8445,8631,
8807,8973,9127,9262,9374,9477,9558,9613,9660,9694,9704,9692,9658,9611,9544,9462,9364,9256,9140,9001,
8853,8690,8517,8329,8133,7921,7706,7475,7222,6956,6689,6397,6098,5788,5476,5154,4823,4484,4135,3792,
3450,3099,2748,2396,2049,1692,1338,973,623,259,-105,-468,-835,-1209,-1567,-1940,-2300,-2657,-3011,-3366,
-3706,-4043,-4368,-4690,-5000,-5299,-5592,-5875,-6155,-6436,-6702,-6957,-7208,-7454,-7699,-7918,-8143,-8356,-8562,-8746,
-8920,-9074,-9223,-9345,-9452,-9550,-9635,-9691,-9732,-9752,-9767,-9764,-9745,-9710,-9674,-9605,-9541,-9441,-9333,-9213,
-9074,-8915,-8744,-8551,-8347,-8125,-7878,-7615,-7350,-7074,-6782,-6482,-6164,-5847,-5521,-5204,-4867,-4532,-4210,-3877,
-3535,-3193,-2855,-2523,-2183,-1851,-1520,-1194,-856,-530,-196,125,443,760,1075,1374,1683,1986,2290,2582,
2864,3156,3443,3721,4002,4294,4575,4862,5131,5408,5684,5950,6225,6488,6751,7008,7256,7492,7716,7931,
8130,8333,8513,8678,8831,8962,9083,9184,9273,9360,9424,9472,9502,9520,9520,9496,9468,9423,9361,9281,
9179,9061,8922,8771,8596,8420,8229,8020,7797,7558,7319,7065,6803,6538,6269,5994,5705,5403,5097,4785,
4469,4139,3807,3463,3123,2771,2398,2032,1661,1291,925,557,192,-171,-540,-898,-1256,-1603,-1945,-2282,
-2622,-2961,-3297,-3629,-3957,-4287,-4608,-4926,-5244,-5558,-5861,-6161,-6444,-6716,-6978,-7231,-7472,-7709,-7924,-8125,
-8314,-8500,-8671,-8821,-8970,-9106,-9245,-9360,-9458,-9548,-9621,-9675,-9718,-9739,-9756,-9754,-9716,-9667,-9597,-9510,
-9409,-9280,-9147,-8996,-8832,-8643,-8441,-8226,-8012,-7775,-7531,-7276,-7009,-6727,-6436,-6126,-5810,-5492,-5174,-4845,
-4509,-4166,-3820,-3466,-3119,-2778,-2438,-2108,-1766,-1429,-1103,-776,-447,-124,190,492,801,1116,1423,1722,
2041,2340,2636,2924,3221,3514,3808,4104,4389,4676,4965,5245,5519,5794,6071,6343,6609,6864,7110,7354,
7585,7810,8038,8257,8459,8652,8822,8990,9138,9269,9395,9496,9581,9653,9698,9719,9727,9725,9705,9659,
9600,9534,9447,9340,9221,9091,8955,8804,8634,8461,8264,8055,7826,7585,7344,7084,6805,6521,6225,5917,
5604,5276,4949,4624,4284,3949,3608,3263,2920,2561,2210,1860,1507,1148,777,408,33,-333,-704,-1077,
-1450,-1820,-2185,-2551,-2908,-3257,-3599,-3930,-4250,-4574,-4883,-5190,-5490,-5785,-6068,-6354,-6628,-6905,-7163,-7419,
-7669,-7913,-8147,-8361,-8562,-8759,-8936,-9098,-9246,-9384,-9496,-9593,-9669,-9740,-9794,-9838,-9865,-9873,-9872,-9849,
-9812,-9760,-9701,-9621,-9528,-9412,-9273,-9117,-8951,-8762,-8564,-8345,-8108,-7854,-7590,-7311,-7016,-6719,-6412,-6101,
-5786,-5461,-5133,-4799,-4461,-4122,-3788,-3441,-3104,-2760,-2421,-2076,-1728,-1380,-1054,-718,-388,-62,265,583,
899,1209,1516,1814,2116,2408,2710,3002,3283,3577,3866,4145,4426,4713,5000,5286,5561,5846,6116,6379,
6639,6898,7152,7395,7629,7847,8056,8252,8439,8608,8768,8918,9058,9176,9277,9359,9443,9506,9548,9576,
9593,9583,9565,9511,9454,9378,9286,9173,9042,8904,8747,8565,8372,8174,7967,7754,7523,7282,7038,6779,
6505,6236,5951,5665,5374,5048,4719,4403,4056,3718,3365,3019,2659,2295,1927,1568,1198,839,476,120,
-234,-589,-947,-1294,-1644,-1985,-2331,-2673,-3009,-3351,-3689,-4018,-4361,-4684,-4997,-5308,-5612,-5911,-6195,-6475,
-6743,-7004,-7244,-7466,-7684,-7901,-8110,-8294,-8484,-8660,-8823,-8970,-9110,-9235,-9354,-9462,-9544,-9617,-9667,-9698,
-9709,-9708,-9690,-9648,-9590,-9516,-9416,-9312,-9188,-9045,-8896,-8733,-8553,-8361,-8151,-7925,-7685,-7438,-7175,-6900,
-6616,-6319,-6010,-5680,-5353,-5021,-4689,-4340,-3998,-3651,-3309,-2957,-2611,-2267,-1934,-1599,-1267,-930,-608,-277,
53,373,690,1000,1314,1631,1933,2238,2548,2849,3148,3439,3726,4025,4313,4599,4881,5168,5444,5716,
5985,6255,6515,6780,7031,7276,7519,7750,7967,8184,8390,8575,8766,8928,9080,9211,9327,9428,9512,9575,
9629,9665,9675,9665,9646,9609,9562,9489,9415,9330,9222,9098,8960,8806,8647,8466,8274,8073,7851,7607,
7357,7090,6821,6541,6246,5953,5640,5328,5005,4672,4350,4022,3684,3351,3004,2659,2306,1948,1588,1231,
859,500,125,-254,-633,-1004,-1374,-1739,-2103,-2455,-2805,-3154,-3492,-3829,-4153,-4471,-4785,-5094,-5391,-5696,
-5993,-6290,-6577,-6852,-7125,-7387,-7638,-7888,-8119,-8356,-8557,-8744,-8926,-9092,-9237,-9374,-9496,-9611,-9703,-9772,
-9835,-9889,-9919,-9947,-9955,-9954,-9936,-9894,-9830,-9762,-9667,-9566,-9434,-9284,-9126,-8938,-8738,-8518,-8284,-8032,
-7778,-7507,-7226,-6936,-6635,-6319,-6004,-5688,-5361,-5032,-4693,-4350,-4004,-3655,-3309,-2951,-2607,-2259,-1915,-1567,
-1223,-875,-551,-213,107,426,747,1057,1370,1687,1989,2286,2584,2881,3172,3459,3754,4056,4341,4633,
4919,5204,5495,5764,6044,6329,6593,6853,7102,7345,7582,7804,8029,8234,8425,8608,8779,8931,9070,9200,
9322,9426,9512,9577,9639,9673,9692,9688,9676,9644,9593,9506,9418,9315,9195,9052,8901,8741,8569,8369,
8170,7963,7744,7508,7279,7027,6774,6500,6211,5919,5618,5308,4986,4656,4327,3986,3630,3281,2920,2567,
2211,1853,1496,1135,778,422,62,-290,-642,-997,-1352,-1700,-2060,-2409,-2758,-3106,-3449,-3791,-4121,-4452,
-4783,-5098,-5400,-5704,-5991,-6272,-6538,-6794,-7053,-7294,-7523,-7748,-7960,-8169,-8365,-8550,-8735,-8910,-9066,-9205,
-9326,-9443,-9544,-9618,-9687,-9735,-9767,-9771,-9762,-9734,-9695,-9634,-9558,-9470,-9365,-9244,-9112,-8960,-8796,-8614,
-8423,-8215,-7987,-7749,-7489,-7221,-6929,-6639,-6335,-6024,-5701,-5365,-5028,-4685,-4342,-3997,-3652,-3312,-2973,-2620,
-2284,-1940,-1601,-1264,-930,-601,-274,57,389,714,1034,1348,1672,1977,2277,2590,2889,3195,3484,3778,
4063,4349,4629,4908,5192,5474,5749,6021,6282,6544,6798,7053,7300,7545,7779,7997,8203,8404,8586,8754,
8916,9051,9188,9294,9380,9453,9508,9547,9577,9590,9589,9556,9521,9469,9400,9313,9219,9113,8990,8843,
8683,8510,8317,8105,7899,7669,7431,7173,6899,6624,6339,6045,5749,5448,5146,4828,4508,4177,3851,3512,
3175,2835,2482,2127,1756,1394,1023,652,281,-92,-463,-836,-1194,-1568,-1926,-2282,-2630,-2962,-3303,-3628,
-3962,-4280,-4601,-4913,-5225,-5526,-5821,-6119,-6416,-6705,-6982,-7252,-7512,-7751,-7983,-8209,-8424,-8621,-8803,-8973,
-9125,-9265,-9388,-9508,-9606,-9706,-9790,-9845,-9894,-9934,-9952,-9954,-9938,-9918,-9872,-9809,-9715,-9616,-9489,-9349,
-9187,-9010,-8820,-8615,-8380,-8144,-7887,-7632,-7357,-7080,-6782,-6483,-6169,-5853,-5522,-5184,-4851,-4506,-4161,-3808,
-3450,-3101,-2741,-2375,-2028,-1677,-1344,-996,-648,-318,21,350,674,992,1300,1616,1929,2244,2544,2852,
3155,3462,3754,4051,4350,4652,4941,5240,5524,5810,6094,6364,6638,6905,7164,7420,7654,7884,8109,8315,
8519,8720,8897,9064,9218,9356,9480,9582,9679,9762,9815,9858,9888,9887,9869,9835,9785,9714,9629,9522,
9416,9279,9128,8969,8796,8622,8413,8215,7997,7774,7530,7282,7016,6744,6463,6168,5866,5547,5224,4888,
4545,4202,3861,3506,3151,2795,2434,2081,1718,1361,1004,642,284,-74,-436,-798,-1173,-1529,-1888,-2251,
-2602,-2958,-3316,-3657,-3999,-4331,-4651,-4971,-5285,-5578,-5879,-6163,-6450,-6714,-6970,-7223,-7474,-7712,-7942,-8169,
-8382,-8585,-8777,-8950,-9123,-9274,-9413,-9531,-9643,-9728,-9797,-9847,-9885,-9910,-9915,-9900,-9869,-9827,-9768,-9689,
-9604,-9506,-9382,-9249,-9096,-8928,-8743,-8540,-8321,-8088,-7835,-7569,-7287,-6997,-6685,-6373,-6049,-5721,-5385,-5047,
-4699,-4354,-4004,-3653,-3306,-2960,-2607,-2259,-1916,-1576,-1233,-880,-539,-212,126,458,788,1113,1429,1748,
2069,2377,2676,2984,3279,3577,3869,4162,4450,4740,5016,5302,5579,5858,6134,6402,6667,6928,7174,7417,
7656,7882,8101,8301,8492,8670,8824,8965,9099,9215,9317,9397,9467,9514,9551,9572,9575,9569,9541,9500,
9445,9374,9279,9172,9052,8915,8759,8591,8401,8207,7989,7758,7529,7278,7026,6749,6478,6193,5906,5604,
5300,4996,4686,4367,4037,3698,3362,3011,2657,2304,1945,1577,1208,832,465,95,-277,-639,-1005,-1359,
-1716,-2067,-2410,-2758,-3090,-3420,-3755,-4074,-4399,-4722,-5034,-5355,-5663,-5961,-6258,-6545,-6826,-7098,-7357,-7607,
-7850,-8067,-8276,-8472,-8663,-8843,-9005,-9156,-9299,-9424,-9535,-9635,-9727,-9803,-9870,-9913,-9950,-9961,-9956,-9934,
-9896,-9844,-9774,-9666,-9564,-9428,-9272,-9107,-8921,-8726,-8518,-8290,-8058,-7804,-7538,-7264,-6975,-6680,-6375,-6064,
-5740,-5411,-5064,-4712,-4363,-4011,-3657,-3299,-2941,-2587,-2224,-1869,-1517,-1169,-830,-490,-150,175,512,839,
1170,1488,1804,2122,2436,2739,3051,3366,3671,3977,4276,4576,4869,5164,5458,5750,6037,6315,6585,6849,
7110,7367,7610,7853,8077,8304,8506,8704,8890,9065,9220,9374,9502,9620,9714,9795,9849,9900,9921,9939,
9926,9895,9847,9779,9694,9614,9496,9370,9242,9083,8924,8738,8545,8352,8136,7908,7681,7432,7171,6890,
6600,6304,6004,5685,5370,5037,4705,4356,4013,3665,3321,2963,2614,2257,1905,1541,1177,818,461,92,
-272,-643,-1015,-1381,-1755,-2121,-2483,-2840,-3188,-3536,-3875,-4213,-4534,-4853,-5161,-5461,-5765,-6043,-6323,-6606,
-6878,-7138,-7384,-7635,-7876,-8106,-8328,-8544,-8745,-8933,-9098,-9258,-9402,-9520,-9637,-9726,-9809,-9872,-9916,-9940,
-9956,-9959,-9941,-9910,-9863,-9806,-9728,-9628,-9516,-9389,-9241,-9078,-8901,-8705,-8490,-8251,-8003,-7740,-7456,-7174,
-6872,-6563,-6242,-5912,-5583,-5247,-4898,-4561,-4210,-3862,-3511,-3154,-2806,-2452,-2095,-1745,-1394,-1051,-703,-354,
-11,319,652,988,1313,1636,1948,2266,2577,2880,3183,3483,3776,4077,4362,4658,4954,5242,5525,5805,
6084,6359,6635,6902,7162,7417,7661,7896,8120,8330,8528,8711,8886,9045,9189,9313,9423,9518,9601,9668,
9718,9760,9776,9782,9762,9731,9686,9614,9539,9441,9322,9191,9038,8875,8693,8496,8293,8078,7838,7598,
7355,7096,6830,6550,6275,5985,5683,5378,5064,4738,4418,4079,3735,3386,3033,2665,2306,1933,1570,1195,
826,457,97,-279,-641,-1000,-1358,-1708,-2058,-2404,-2744,-3089,-3423,-3763,-4090,-4425,-4744,-5067,-5383,-5696,
-6002,-6287,-6575,-6848,-7118,-7369,-7611,-7843,-8067,-8269,-8469,-8656,-8837,-9003,-9152,-9301,-9433,-9557,-9660,-9745,
-9826,-9895,-9934,-9961,-9975,-9964,-9940,-9885,-9819,-9738,-9640,-9521,-9394,-9243,-9079,-8898,-8700,-8494,-8270,-8038,
-7788,-7532,-7259,-6968,-6667,-6358,-6039,-5714,-5381,-5037,-4684,-4335,-3974,-3614,-3256,-2897,-2545,-2193,-1833,-1483,
-1134,-792,-448,-111,229,551,885,1217,1554,1873,2190,2508,2824,3134,3447,3755,4062,4371,4669,4959,
5257,5550,5832,6119,6402,6672,6935,7190,7441,7689,7924,8155,8371,8582,8771,8953,9116,9269,9410,9534,
9635,9727,9787,9835,9862,9875,9865,9839,9805,9743,9680,9587,9481,9368,9237,9101,8949,8779,8598,8394,
8188,7963,7724,7474,7218,6942,6662,6356,6051,5743,5422,5091,4766,4428,4091,3746,3400,3047,2696,2340,
1991,1634,1274,902,537,169,-205,-578,-947,-1322,-1690,-2058,-2423,-2779,-3127,-3477,-3809,-4143,-4467,-4786,
-5100,-5407,-5709,-6010,-6290,-6576,-6852,-7123,-7392,-7653,-7903,-8138,-8370,-8578,-8780,-8972,-9151,-9315,-9457,-9591,
-9712,-9802,-9889,-9960,-10018,-10064,-10089,-10099,-10102,-10079,-10040,-9994,-9928,-9849,-9751,-9629,-9500,-9335,-9161,-8967,
-8759,-8531,-8290,-8026,-7755,-7468,-7170,-6868,-6555,-6237,-5910,-5571,-5235,-4882,-4534,-4184,-3827,-3476,-3115,-2754,
-2392,-2034,-1665,-1313,-961,-617,-268,78,421,750,1093,1415,1738,2053,2367,2680,2998,3304,3609,3916,
4219,4514,4812,5113,5416,5712,6003,6283,6568,6844,7111,7372,7625,7875,8110,8328,8535,8730,8910,9079,
9239,9382,9506,9618,9713,9793,9855,9902,9939,9955,9949,9933,9891,9831,9752,9661,9551,9428,9284,9127,
8952,8760,8561,8348,8127,7900,7654,7405,7142,6873,6592,6303,6007,5706,5385,5068,4735,4395,4050,3694,
3338,2982,2615,2248,1879,1508,1138,773,402,42,-319,-680,-1043,-1397,-1752,-2110,-2462,-2809,-3152,-3503,
-3839,-4183,-4514,-4845,-5166,-5483,-5784,-6094,-6374,-6658,-6926,-7187,-7429,-7668,-7892,-8123,-8335,-8530,-8720,-8908,
-9073,-9234,-9375,-9516,-9638,-9742,-9837,-9907,-9967,-10008,-10023,-10022,-10010,-9978,-9926,-9860,-9772,-9672,-9557,-9421,
-9273,-9113,-8929,-8738,-8533,-8311,-8073,-7817,-7556,-7274,-6982,-6676,-6361,-6033,-5697,-5351,-5006,-4653,-4298,-3940,
-3581,-3226,-2864,-2505,-2156,-1801,-1442,-1096,-750,-403,-58,287,622,955,1291,1627,1956,2283,2607,2923,
3243,3553,3860,4167,4478,4777,5072,5371,5659,5944,6228,6502,6779,7042,7302,7555,7805,8031,8259,8475,
8680,8874,9048,9211,9354,9491,9601,9695,9769,9829,9866,9884,9890,9880,9842,9808,9744,9673,9579,9478,
9363,9223,9073,8919,8739,8550,8343,8124,7884,7636,7377,7112,6824,6541,6236,5927,5615,5303,4970,4641,
4307,3982,3633,3287,2938,2588,2224,1860,1499,1134,765,383,6,-366,-740,-1115,-1485,-1848,-2211,-2565,
-2924,-3262,-3605,-3934,-4261,-4584,-4895,-5209,-5512,-5818,-6117,-6410,-6690,-6967,-7239,-7508,-7766,-8006,-8238,-8466,
-8667,-8859,-9041,-9206,-9360,-9496,-9620,-9734,-9825,-9908,-9971,-10027,-10074,-10100,-10103,-10105,-10083,-10046,-9987,-9911,
-9822,-9711,-9586,-9441,-9275,-9084,-8879,-8657,-8426,-8182,-7929,-7649,-7366,-7065,-6764,-6446,-6127,-5796,-5469,-5125,
-4785,-4429,-4070,-3709,-3352,-2993,-2628,-2263,-1906,-1542,-1178,-823,-473,-130,219,558,889,1228,1563,1884,
2208,2521,2839,3152,3466,3776,4091,4402,4713,5009,5313,5617,5914,6211,6505,6786,7066,7333,7591,7838,
8081,8309,8534,8737,8929,9114,9279,9431,9571,9695,9805,9903,9974,10035,10073,10095,10107,10089,10057,10010,
9937,9850,9739,9616,9479,9329,9167,8987,8793,8589,8370,8145,7915,7671,7413,7150,6873,6585,6288,5979,
5660,5342,5007,4665,4317,3968,3608,3240,2881,2514,2149,1787,1418,1055,686,316,-51,-402,-771,-1127,
-1494,-1851,-2213,-2572,-2932,-3279,-3627,-3970,-4309,-4634,-4966,-5285,-5597,-5896,-6186,-6472,-6744,-7008,-7267,-7518,
-7758,-7986,-8209,-8421,-8625,-8819,-9003,-9182,-9343,-9483,-9607,-9735,-9828,-9911,-9978,-10036,-10063,-10080,-10067,-10047,
-10012,-9959,-9894,-9805,-9710,-9596,-9462,-9313,-9154,-8968,-8780,-8566,-8342,-8096,-7841,-7565,-7284,-6976,-6665,-6350,
-6023,-5682,-5332,-4979,-4629,-4274,-3921,-3564,-3210,-2849,-2494,-2135,-1783,-1426,-1074,-723,-377,-30,314,665,
999,1339,1675,2008,2330,2654,2970,3293,3602,3913,4219,4520,4822,5117,5412,5709,5996,6281,6559,6833,
7105,7363,7615,7867,8100,8325,8533,8730,8917,9091,9250,9388,9513,9607,9701,9764,9822,9856,9875,9879,
9867,9832,9791,9725,9649,9557,9451,9327,9194,9035,8864,8678,8479,8263,8035,7788,7545,7275,6998,6716,
6426,6126,5824,5512,5198,4878,4546,4219,3878,3538,3185,2833,2477,2116,1744,1378,1005,633,254,-124,
-495,-864,-1238,-1594,-1958,-2314,-2657,-3006,-3338,-3670,-4003,-4327,-4650,-4966,-5275,-5588,-5895,-6193,-6492,-6778,
-7047,-7321,-7580,-7832,-8066,-8285,-8502,-8702,-8884,-9055,-9214,-9371,-9499,-9625,-9730,-9834,-9919,-9983,-10037,-10080,
-10110,-10116,-10106,-10081,-10041,-9978,-9894,-9794,-9674,-9542,-9387,-9215,-9025,-8821,-8596,-8364,-8117,-7858,-7589,-7308,
-7017,-6710,-6400,-6077,-5746,-5410,-5062,-4714,-4363,-3998,-3638,-3278,-2915,-2544,-2180,-1821,-1467,-1104,-751,-402,
-54,292,634,967,1299,1634,1962,2291,2611,2928,3252,3575,3883,4200,4515,4829,5143,5444,5744,6049,
6335,6623,6903,7178,7449,7703,7952,8185,8413,8629,8834,9028,9210,9376,9519,9656,9778,9882,9980,10043,
10092,10125,10133,10121,10098,10052,9994,9917,9821,9700,9573,9428,9270,9098,8923,8731,8523,8304,8076,7833,
7587,7314,7045,6758,6464,6157,5834,5513,5180,4837,4492,4148,3787,3433,3068,2707,2349,1981,1617,1260,
891,532,162,-210,-578,-945,-1311,-1678,-2043,-2408,-2768,-3125,-3475,-3822,-4163,-4487,-4814,-5129,-5442,-5746,
-6044,-6329,-6613,-6879,-7143,-7402,-7652,-7898,-8134,-8357,-8571,-8772,-8960,-9144,-9310,-9467,-9609,-9725,-9834,-9924,
-9994,-10049,-10089,-10112,-10123,-10116,-10083,-10052,-9992,-9923,-9834,-9738,-9622,-9489,-9329,-9164,-8973,-8771,-8552,-8315,
-8060,-7792,-7513,-7217,-6909,-6586,-6267,-5935,-5601,-5254,-4904,-4553,-4197,-3836,-3483,-3123,-2774,-2411,-2052,-1691,
-1338,-977,-621,-270,76,417,769,1112,1452,1786,2118,2442,2755,3076,3393,3713,4014,4329,4631,4934,
5238,5531,5831,6129,6412,6704,6992,7257,7522,7777,8028,8260,8489,8697,8894,9081,9242,9387,9527,9647,
9751,9833,9905,9957,9991,10005,10014,10004,9975,9924,9864,9781,9684,9566,9436,9292,9126,8947,8760,8545,
8325,8083,7834,7579,7322,7039,6760,6468,6172,5862,5546,5230,4910,4574,4239,3893,3540,3183,2815,2451,
2082,1713,1334,955,583,205,-163,-538,-906,-1267,-1631,-1984,-2337,-2682,-3030,-3369,-3709,-4039,-4368,-4698,
-5020,-5337,-5653,-5961,-6255,-6545,-6830,-7104,-7363,-7619,-7861,-8094,-8307,-8507,-8703,-8886,-9059,-9218,-9367,-9506,
-9630,-9741,-9844,-9929,-9999,-10056,-10101,-10122,-10124,-10109,-10078,-10027,-9962,-9874,-9771,-9649,-9511,-9354,-9179,-8997,
-8790,-8577,-8349,-8106,-7852,-7589,-7305,-7017,-6717,-6399,-6079,-5744,-5405,-5053,-4693,-4339,-3980,-3619,-3257,-2891,
-2531,-2168,-1804,-1453,-1096,-743,-396,-46,294,637,981,1323,1646,1986,2314,2646,2972,3294,3619,3941,
4249,4566,4881,5195,5498,5801,6098,6393,6667,6951,7217,7489,7743,7991,8226,8453,8665,8871,9061,9239,
9403,9551,9685,9805,9891,9963,10025,10066,10086,10083,10072,10034,9977,9911,9825,9722,9608,9473,9331,9168,
8997,8811,8617,8405,8187,7949,7698,7438,7169,6872,6585,6283,5974,5649,5314,4984,4637,4291,3943,3597,
3244,2890,2523,2160,1802,1436,1068,706,339,-31,-403,-782,-1157,-1524,-1901,-2263,-2625,-2977,-3335,-3682,
-4016,-4351,-4680,-4986,-5301,-5600,-5899,-6195,-6478,-6759,-7033,-7297,-7556,-7806,-8045,-8282,-8502,-8712,-8915,-9098,
-9265,-9422,-9571,-9701,-9812,-9903,-9991,-10052,-10100,-10131,-10155,-10158,-10151,-10123,-10087,-10031,-9955,-9866,-9754,-9635,
-9492,-9333,-9152,-8959,-8741,-8514,-8263,-8004,-7732,-7448,-7143,-6841,-6516,-6193,-5855,-5521,-5182,-4836,-4482,-4129,
-3769,-3410,-3040,-2688,-2329,-1964,-1600,-1244,-881,-523,-163,181,530,877,1217,1556,1893,2222,2550,2876,
3194,3508,3828,4141,4453,4766,5081,5384,5683,5984,6284,6582,6862,7153,7429,7702,7954,8201,8432,8660,
8861,9065,9244,9404,9556,9686,9801,9908,9988,10064,10116,10151,10163,10165,10149,10118,10061,9997,9917,9804,
9677,9534,9375,9206,9021,8817,8608,8383,8148,7896,7640,7377,7101,6815,6526,6232,5925,5605,5284,4949,
4616,4262,3917,3552,3193,2821,2442,2072,1701,1327,952,582,205,-166,-537,-904,-1257,-1620,-1978,-2326,
-2679,-3026,-3368,-3711,-4054,-4390,-4722,-5043,-5364,-5684,-5988,-6286,-6570,-6851,-7122,-7375,-7631,-7865,-8095,-8314,
-8515,-8712,-8899,-9073,-9237,-9389,-9534,-9660,-9773,-9870,-9966,-10032,-10083,-10119,-10135,-10141,-10117,-10077,-10030,-9953,
-9864,-9762,-9639,-9505,-9352,-9178,-8997,-8798,-8581,-8361,-8120,-7869,-7606,-7324,-7025,-6720,-6402,-6081,-5744,-5406,
-5056,-4695,-4338,-3980,-3616,-3253,-2894,-2536,-2177,-1811,-1459,-1107,-754,-401,-53,290,631,984,1323,1659,
1997,2336,2665,2992,3315,3635,3965,4280,4593,4913,5219,5527,5822,6122,6414,6697,6978,7248,7511,7773,
8023,8252,8487,8703,8899,9091,9269,9428,9566,9690,9801,9890,9954,10010,10037,10054,10047,10030,9989,9935,
9861,9775,9673,9555,9419,9277,9124,8952,8757,8560,8340,8115,7869,7609,7342,7065,6769,6470,6162,5846,
5526,5193,4860,4523,4186,3833,3483,3130,2775,2414,2056,1686,1329,948,582,203,-171,-545,-923,-1296,
-1667,-2038,-2400,-2758,-3105,-3450,-3794,-4124,-4452,-4776,-5093,-5400,-5702,-6003,-6291,-6585,-6867,-7141,-7411,-7662,
-7918,-8156,-8383,-8599,-8799,-8997,-9176,-9338,-9486,-9617,-9740,-9845,-9939,-10014,-10085,-10127,-10161,-10181,-10188,-10175,
-10148,-10105,-10050,-9974,-9876,-9763,-9631,-9479,-9311,-9123,-8924,-8703,-8469,-8223,-7953,-7684,-7399,-7095,-6793,-6484,
-6153,-5827,-5488,-5153,-4803,-4452,-4095,-3736,-3374,-3007,-2644,-2284,-1919,-1549,-1191,-836,-473,-116,234,582,
926,1267,1608,1939,2283,2605,2944,3265,3590,3916,4238,4558,4876,5192,5511,5825,6126,6429,6736,7023,
7310,7591,7856,8114,8358,8590,8811,9017,9210,9396,9560,9712,9842,9956,10063,10152,10216,10277,10303,10319,
10314,10292,10250,10193,10107,10019,9902,9771,9624,9456,9277,9091,8882,8673,8442,8208,7955,7693,7429,7147,
6859,6565,6262,5950,5627,5289,4950,4600,4249,3887,3525,3157,2790,2413,2037,1663,1297,920,548,180,
-191,-558,-924,-1292,-1660,-2018,-2375,-2737,-3088,-3440,-3797,-4137,-4466,-4804,-5125,-5441,-5750,-6053,-6350,-6633,
-6905,-7172,-7429,-7673,-7909,-8137,-8356,-8565,-8768,-8958,-9137,-9296,-9455,-9592,-9725,-9834,-9937,-10013,-10080,-10119,
-10152,-10165,-10159,-10145,-10099,-10038,-9973,-9879,-9777,-9654,-9519,-9372,-9204,-9015,-8813,-8593,-8369,-8122,-7868,-7593,
-7313,-7009,-6700,-6377,-6047,-5707,-5365,-5024,-4673,-4308,-3951,-3593,-3232,-2872,-2513,-2161,-1801,-1441,-1089,-739,
-379,-24,324,672,1009,1362,1709,2042,2387,2714,3049,3367,3691,4011,4331,4643,4961,5277,5576,5875,
6175,6466,6759,7039,7314,7585,7849,8093,8330,8561,8778,8984,9169,9344,9497,9639,9751,9851,9942,10005,
10051,10085,10091,10082,10064,10022,9968,9895,9811,9709,9587,9455,9298,9139,8961,8769,8554,8335,8096,7847,
7584,7310,7026,6734,6430,6125,5809,5490,5166,4827,4490,4156,3805,3452,3101,2741,2376,2006,1635,1268,
895,513,132,-246,-621,-1000,-1372,-1739,-2095,-2461,-2807,-3160,-3496,-3830,-4153,-4486,-4805,-5125,-5433,-5743,
-6043,-6342,-6634,-6912,-7186,-7458,-7705,-7957,-8191,-8411,-8620,-8817,-9000,-9172,-9328,-9470,-9600,-9717,-9827,-9915,
-9993,-10059,-10112,-10141,-10157,-10159,-10148,-10121,-10065,-10000,-9927,-9824,-9705,-9566,-9404,-9236,-9042,-8835,-8622,-8375,
-8138,-7873,-7601,-7320,-7024,-6716,-6410,-6081,-5761,-5420,-5081,-4729,-4377,-4022,-3666,-3299,-2935,-2575,-2207,-1844,
-1476,-1115,-766,-408,-52,293,637,978,1325,1665,1999,2328,2667,2993,3329,3645,3971,4298,4623,4936,
5263,5574,5890,6196,6499,6793,7093,7359,7640,7906,8160,8397,8625,8838,9050,9236,9413,9581,9728,9857,
9971,10066,10150,10211,10252,10282,10286,10270,10236,10181,10113,10020,9913,9796,9654,9502,9340,9157,8967,8758,
8537,8317,8077,7829,7565,7290,7010,6717,6410,6099,5777,5452,5105,4759,4404,4048,3688,3322,2957,2594,
2223,1848,1484,1111,744,366,2,-365,-733,-1108,-1471,-1834,-2203,-2566,-2916,-3271,-3622,-3967,-4313,-4640,
-4967,-5286,-5589,-5895,-6188,-6476,-6752,-7020,-7283,-7542,-7782,-8019,-8248,-8463,-8673,-8869,-9057,-9240,-9393,-9541,
-9676,-9789,-9893,-9980,-10052,-10105,-10140,-10161,-10164,-10152,-10128,-10083,-10025,-9951,-9865,-9757,-9630,-9489,-9340,-9171,
-8985,-8778,-8570,-8324,-8074,-7806,-7524,-7237,-6931,-6617,-6297,-5964,-5624,-5276,-4937,-4586,-4233,-3876,-3525,-3167,
-2804,-2448,-2092,-1740,-1376,-1031,-677,-320,35,386,731,1076,1417,1761,2096,2429,2764,3096,3419,3737,
4051,4371,4684,4994,5309,5614,5922,6214,6506,6794,7080,7354,7626,7888,8143,8372,8596,8806,9016,9186,
9356,9506,9641,9748,9844,9925,9988,10033,10062,10078,10072,10056,10012,9951,9890,9803,9698,9586,9445,9292,
9116,8930,8730,8517,8284,8050,7790,7534,7252,6973,6690,6390,6079,5780,5463,5138,4803,4468,4126,3781,
3426,3064,2701,2334,1954,1580,1201,831,446,75,-301,-671,-1042,-1404,-1770,-2121,-2474,-2822,-3161,-3509,
-3843,-4177,-4503,-4822,-5138,-5462,-5769,-6076,-6367,-6661,-6939,-7204,-7461,-7714,-7943,-8174,-8389,-8591,-8781,-8954,
-9120,-9281,-9421,-9559,-9679,-9791,-9886,-9961,-10023,-10080,-10112,-10128,-10130,-10109,-10075,-10020,-9945,-9852,-9752,-9625,
-9489,-9328,-9163,-8972,-8769,-8556,-8338,-8093,-7844,-7575,-7297,-7005,-6700,-6390,-6063,-5730,-5400,-5052,-4701,-4341,
-3982,-3624,-3269,-2907,-2553,-2185,-1836,-1472,-1126,-773,-436,-83,255,603,953,1295,1635,1985,2318,2653,
2993,3324,3660,3984,4307,4633,4955,5260,5577,5885,6190,6486,6773,7064,7338,7602,7865,8118,8369,8594,
8816,9026,9220,9385,9554,9696,9825,9936,10025,10092,10147,10171,10189,10180,10162,10121,10062,9984,9897,9792,
9668,9537,9390,9224,9045,8855,8651,8426,8190,7950,7688,7420,7132,6841,6535,6222,5899,5572,5246,4907,
4569,4223,3878,3522,3163,2814,2455,2099,1727,1356,987,615,235,-140,-511,-888,-1259,-1630,-2004,-2361,
-2724,-3076,-3416,-3753,-4085,-4410,-4734,-5043,-5352,-5652,-5948,-6238,-6516,-6797,-7074,-7332,-7591,-7841,-8072,-8301,
-8512,-8720,-8908,-9085,-9249,-9403,-9532,-9649,-9755,-9843,-9923,-9987,-10033,-10076,-10090,-10095,-10083,-10062,-10023,-9970,
-9891,-9802,-9692,-9555,-9407,-9235,-9055,-8852,-8638,-8402,-8162,-7897,-7631,-7346,-7057,-6768,-6457,-6142,-5818,-5492,
-5157,-4816,-4475,-4122,-3770,-3412,-3054,-2689,-2329,-1960,-1602,-1240,-885,-526,-174,178,522,866,1202,1535,
1871,2203,2528,2855,3184,3510,3833,4157,4475,4798,5122,5443,5760,6076,6380,6677,6969,7258,7531,7797,
8056,8298,8532,8749,8954,9143,9330,9488,9643,9779,9901,10001,10090,10154,10205,10233,10251,10239,10219,10164,
10095,10008,9899,9783,9651,9495,9328,9147,8948,8743,8530,8303,8063,7821,7560,7296,7009,6722,6426,6116,
5791,5471,5135,4792,4436,4079,3719,3356,2984,2619,2250,1879,1503,1130,758,389,22,-335,-705,-1076,
-1437,-1807,-2166,-2520,-2881,-3225,-3576,-3921,-4260,-4594,-4924,-5238,-5550,-5853,-6148,-6432,-6710,-6982,-7236,-7485,
-7726,-7961,-8182,-8402,-8610,-8804,-8990,-9168,-9328,-9477,-9615,-9736,-9840,-9936,-10008,-10059,-10099,-10123,-10118,-10105,
-10083,-10037,-9975,-9898,-9805,-9706,-9586,-9450,-9301,-9138,-8960,-8761,-8539,-8310,-8067,-7802,-7530,-7243,-6942,-6623,
-6295,-5970,-5638,-5290,-4949,-4594,-4252,-3904,-3541,-3193,-2841,-2484,-2131,-1777,-1422,-1070,-712,-353,-6,350,
696,1048,1400,1741,2087,2426,2753,3084,3411,3730,4053,4365,4683,5001,5310,5615,5923,6228,6520,6823,
7113,7402,7676,7940,8202,8448,8677,8893,9095,9288,9449,9598,9737,9849,9948,10028,10093,10141,10178,10183,
10180,10161,10128,10074,10010,9923,9820,9696,9563,9407,9237,9049,8855,8632,8404,8156,7904,7631,7365,7076,
6782,6484,6174,5858,5539,5216,4886,4552,4206,3860,3509,3144,2778,2414,2039,1665,1287,911,538,157,
-222,-593,-964,-1323,-1686,-2043,-2395,-2742,-3095,-3427,-3763,-4088,-4414,-4733,-5058,-5367,-5686,-5988,-6279,-6563,
-6848,-7114,-7379,-7631,-7871,-8098,-8306,-8512,-8698,-8875,-9042,-9199,-9350,-9476,-9591,-9699,-9790,-9871,-9939,-9997,
-10037,-10063,-10062,-10046,-10016,-9965,-9899,-9817,-9708,-9593,-9451,-9289,-9110,-8929,-8734,-8520,-8287,-8060,-7804,-7540,
-7261,-6980,-6690,-6387,-6073,-5757,-5424,-5077,-4726,-4374,-4019,-3662,-3302,-2944,-2585,-2224,-1861,-1506,-1159,-809,
-468,-131,208,555,898,1239,1570,1908,2241,2576,2911,3255,3587,3921,4256,4576,4902,5218,5533,5847,
6152,6452,6746,7024,7298,7571,7830,8080,8326,8559,8786,8987,9185,9368,9531,9686,9823,9948,10043,10113,
10163,10200,10217,10208,10191,10154,10099,10013,9916,9803,9681,9540,9399,9234,9056,8861,8653,8433,8201,7960,
7712,7439,7161,6865,6556,6241,5922,5590,5259,4919,4573,4215,3864,3501,3143,2783,2423,2063,1696,1323,
949,576,202,-166,-540,-909,-1280,-1651,-2028,-2403,-2752,-3110,-3458,-3800,-4130,-4459,-4786,-5108,-5413,-5712,
-6004,-6287,-6567,-6841,-7111,-7380,-7636,-7875,-8113,-8334,-8551,-8758,-8954,-9134,-9306,-9454,-9593,-9706,-9811,-9906,
-9988,-10047,-10091,-10123,-10136,-10133,-10113,-10086,-10051,-9994,-9927,-9823,-9717,-9592,-9446,-9285,-9113,-8921,-8715,-8479,
-8231,-7971,-7693,-7407,-7115,-6820,-6507,-6193,-5854,-5529,-5193,-4855,-4511,-4174,-3834,-3485,-3125,-2766,-2406,-2051,
-1690,-1335,-985,-630,-271,84,438,780,1121,1456,1783,2110,2443,2772,3094,3423,3742,4054,4366,4689,
5013,5335,5652,5972,6280,6582,6877,7168,7458,7744,8007,8261,8500,8722,8931,9127,9318,9495,9648,9783,
9906,10009,10094,10162,10219,10265,10289,10288,10270,10226,10172,10091,9994,9891,9768,9615,9448,9262,9073,8864,
8644,8418,8183,7929,7670,7395,7111,6820,6526,6223,5912,5587,5256,4913,4565,4207,3859,3495,3128,2758,
2378,2007,1628,1253,877,510,143,-230,-600,-965,-1329,-1689,-2048,-2396,-2737,-3089,-3431,-3773,-4106,-4439,
-4766,-5084,-5393,-5694,-5997,-6288,-6566,-6837,-7095,-7348,-7588,-7816,-8036,-8248,-8454,-8641,-8818,-8989,-9151,-9294,
-9434,-9553,-9670,-9764,-9845,-9907,-9948,-9976,-9991,-9986,-9964,-9930,-9870,-9797,-9707,-9598,-9488,-9356,-9208,-9044,
-8867,-8677,-8470,-8245,-8014,-7776,-7512,-7237,-6949,-6649,-6339,-6018,-5682,-5356,-5017,-4674,-4323,-3965,-3620,-3271,
-2914,-2570,-2226,-1878,-1530,-1180,-833,-487,-140,204,543,894,1234,1586,1934,2276,2615,2945,3279,3610,
3940,4269,4590,4908,5223,5524,5829,6137,6433,6729,7021,7303,7576,7842,8090,8347,8584,8809,9021,9210,
9385,9541,9674,9792,9901,9991,10056,10097,10127,10134,10124,10096,10052,10005,9935,9838,9730,9609,9466,9314,
9148,8962,8773,8560,8330,8084,7834,7567,7297,7009,6716,6412,6097,5778,5453,5117,4787,4449,4108,3759,
3405,3045,2684,2306,1945,1583,1213,837,460,87,-285,-666,-1032,-1397,-1759,-2119,-2481,-2832,-3172,-3515,
-3850,-4171,-4492,-4807,-5126,-5436,-5740,-6031,-6326,-6606,-6875,-7133,-7398,-7654,-7895,-8125,-8340,-8539,-8732,-8909,
-9079,-9235,-9384,-9513,-9628,-9720,-9807,-9887,-9946,-9998,-10038,-10050,-10058,-10035,-10001,-9959,-9895,-9817,-9721,-9599,
-9464,-9314,-9133,-8946,-8739,-8539,-8302,-8070,-7816,-7550,-7266,-6974,-6682,-6392,-6084,-5765,-5433,-5106,-4764,-4421,
-4071,-3727,-3386,-3028,-2668,-2315,-1952,-1596,-1248,-906,-564,-228,116,457,798,1132,1464,1795,2119,2444,
2776,3109,3442,3775,4103,4428,4746,5075,5399,5719,6039,6358,6656,6947,7229,7505,7782,8046,8294,8540,
8768,8976,9166,9349,9525,9689,9827,9952,10056,10142,10198,10238,10267,10278,10265,10233,10181,10111,10017,9902,
9783,9651,9504,9337,9155,8961,8751,8526,8294,8058,7807,7547,7272,6975,6677,6362,6045,5729,5400,5064,
4726,4375,4014,3651,3286,2930,2569,2199,1838,1463,1087,712,338,-24,-391,-767,-1129,-1498,-1867,-2232,
-2593,-2935,-3277,-3620,-3958,-4290,-4618,-4940,-5252,-5559,-5848,-6135,-6422,-6700,-6973,-7231,-7487,-7730,-7954,-8176,
-8388,-8593,-8792,-8976,-9152,-9301,-9440,-9562,-9683,-9778,-9871,-9942,-10001,-10033,-10055,-10050,-10051,-10024,-9990,-9938,
-9868,-9776,-9670,-9550,-9423,-9274,-9108,-8931,-8736,-8526,-8284,-8032,-7776,-7506,-7225,-6931,-6630,-6315,-5988,-5653,
-5321,-4992,-4654,-4316,-3968,-3624,-3273,-2920,-2560,-2220,-1871,-1519,-1167,-811,-455,-99,254,600,947,1288,
1629,1967,2304,2643,2972,3293,3612,3931,4249,4564,4891,5211,5528,5833,6138,6445,6738,7034,7318,7601,
7872,8123,8353,8585,8798,8997,9178,9350,9511,9640,9746,9849,9934,10005,10052,10088,10104,10101,10068,10031,
9967,9893,9802,9691,9565,9419,9256,9075,8881,8681,8466,8245,8005,7756,7489,7210,6931,6645,6349,6044,
5731,5414,5074,4736,4403,4054,3699,3347,2993,2626,2254,1881,1516,1144,779,413,45,-317,-683,-1059,
-1421,-1774,-2124,-2474,-2818,-3160,-3499,-3845,-4174,-4493,-4809,-5118,-5429,-5728,-6016,-6303,-6586,-6854,-7105,-7343,
-7588,-7817,-8042,-8252,-8451,-8636,-8811,-8966,-9119,-9255,-9387,-9511,-9613,-9697,-9768,-9821,-9856,-9881,-9894,-9891,
-9874,-9823,-9762,-9681,-9590,-9482,-9353,-9223,-9076,-8902,-8712,-8509,-8296,-8076,-7837,-7592,-7335,-7064,-6772,-6471,
-6163,-5854,-5542,-5214,-4878,-4551,-4198,-3845,-3493,-3155,-2816,-2470,-2127,-1786,-1438,-1097,-746,-411,-84,252,
580,915,1254,1594,1937,2273,2603,2926,3258,3586,3922,4254,4579,4903,5220,5533,5838,6138,6450,6754,
7053,7336,7611,7885,8142,8387,8629,8869,9084,9283,9455,9618,9767,9889,10002,10101,10177,10229,10255,10260,
10260,10241,10201,10148,10076,9991,9875,9746,9604,9449,9278,9100,8899,8692,8460,8206,7948,7684,7412,7132,
6839,6534,6218,5894,5561,5229,4889,4559,4214,3857,3493,3129,2762,2392,2016,1652,1286,908,528,145,
-231,-606,-981,-1350,-1704,-2064,-2425,-2786,-3134,-3472,-3804,-4138,-4456,-4775,-5089,-5406,-5717,-6015,-6297,-6579,
-6848,-7119,-7372,-7625,-7873,-8101,-8315,-8513,-8705,-8885,-9059,-9217,-9365,-9502,-9615,-9717,-9802,-9874,-9939,-9993,
-10034,-10053,-10052,-10034,-10002,-9952,-9894,-9821,-9733,-9618,-9485,-9336,-9172,-8988,-8789,-8579,-8370,-8134,-7877,-7608,
-7334,-7043,-6753,-6453,-6150,-5842,-5513,-5174,-4842,-4498,-4155,-3813,-3467,-3126,-2772,-2412,-2052,-1697,-1344,-1005,
-648,-308,34,379,729,1064,1401,1727,2052,2383,2709,3039,3369,3700,4027,4344,4665,4984,5302,5629,
5943,6253,6560,6854,7136,7412,7685,7947,8209,8442,8669,8885,9077,9258,9430,9593,9741,9862,9968,10049,
10120,10170,10193,10209,10209,10185,10132,10062,9979,9874,9755,9622,9480,9323,9144,8955,8744,8530,8306,8071,
7819,7566,7294,7004,6703,6396,6081,5766,5439,5105,4763,4416,4063,3702,3343,2987,2635,2272,1904,1535,
1169,800,435,66,-294,-653,-1027,-1391,-1752,-2113,-2462,-2816,-3155,-3484,-3820,-4151,-4475,-4788,-5090,-5389,
-5673,-5950,-6226,-6503,-6768,-7025,-7270,-7501,-7730,-7948,-8154,-8361,-8549,-8732,-8897,-9043,-9177,-9304,-9413,-9510,
-9591,-9660,-9710,-9742,-9757,-9752,-9737,-9732,-9689,-9634,-9559,-9472,-9360,-9240,-9104,-8964,-8808,-8626,-8432,-8222,
-7996,-7750,-7497,-7240,-6973,-6690,-6394,-6087,-5773,-5454,-5124,-4799,-4485,-4155,-3819,-3477,-3134,-2798,-2458,-2119,
-1782,-1450,-1112,-764,-418,-75,262,599,931,1267,1609,1943,2284,2617,2943,3265,3582,3901,4220,4541,
4865,5181,5497,5805,6105,6402,6705,7002,7295,7571,7845,8101,8340,8555,8777,8985,9178,9346,9493,9623,
9738,9828,9905,9977,10029,10063,10064,10057,10033,9986,9922,9849,9759,9650,9518,9364,9197,9014,8816,8610,
8394,8165,7919,7655,7386,7111,6822,6535,6237,5937,5624,5298,4964,4615,4274,3930,3580,3218,2851,2481,
2109,1729,1355,988,622,253,-119,-493,-861,-1220,-1585,-1939,-2284,-2625,-2966,-3316,-3659,-3987,-4325,-4649,
-4960,-5268,-5572,-5879,-6185,-6472,-6747,-7012,-7270,-7509,-7736,-7969,-8194,-8403,-8595,-8777,-8941,-9103,-9248,-9386,
-9520,-9640,-9747,-9829,-9888,-9943,-9985,-10014,-10027,-10029,-10005,-9964,-9896,-9809,-9718,-9615,-9492,-9354,-9199,-9033,
-8843,-8631,-8416,-8190,-7963,-7720,-7452,-7178,-6893,-6593,-6280,-5965,-5665,-5341,-5011,-4668,-4326,-3976,-3624,-3273,
-2938,-2601,-2254,-1903,-1558,-1213,-870,-532,-201,123,447,784,1118,1454,1784,2117,2440,2760,3084,3411,
3744,4075,4409,4723,5041,5350,5664,5971,6278,6577,6881,7161,7434,7701,7963,8221,8465,8700,8929,9139,
9326,9490,9646,9787,9917,10016,10104,10169,10210,10220,10217,10203,10180,10132,10068,9982,9884,9764,9625,9483,
9332,9164,8976,8774,8555,8319,8065,7808,7538,7263,6972,6669,6347,6030,5700,5367,5034,4701,4355,4014,
3658,3294,2933,2577,2218,1855,1488,1121,749,366,-15,-389,-752,-1121,-1492,-1851,-2210,-2564,-2918,-3264,
-3591,-3907,-4225,-4542,-4851,-5156,-5451,-5752,-6033,-6305,-6569,-6840,-7099,-7354,-7592,-7826,-8046,-8247,-8436,-8617,
-8787,-8956,-9096,-9228,-9336,-9435,-9512,-9585,-9639,-9700,-9734,-9753,-9753,-9742,-9713,-9675,-9621,-9552,-9471,-9367,
-9245,-9098,-8940,-8771,-8585,-8381,-8174,-7945,-7702,-7440,-7162,-6888,-6614,-6325,-6028,-5720,-5413,-5088,-4754,-4430,
-4110,-3782,-3450,-3112,-2776,-2434,-2086,-1733,-1399,-1059,-723,-382,-40,302,642,983,1313,1640,1959,2285,
2614,2942,3270,3592,3908,4230,4546,4858,5182,5501,5819,6137,6432,6724,7014,7291,7561,7821,8078,8314,
8531,8726,8920,9099,9262,9407,9548,9669,9768,9842,9906,9950,9985,9995,9986,9962,9917,9837,9743,9635,
9515,9377,9218,9047,8863,8657,8441,8217,7988,7754,7503,7239,6966,6678,6386,6082,5775,5459,5138,4798,
4452,4094,3732,3371,3003,2642,2274,1908,1543,1169,796,434,72,-287,-642,-1004,-1353,-1715,-2081,-2429,
-2776,-3114,-3459,-3801,-4133,-4460,-4792,-5108,-5412,-5700,-5985,-6267,-6540,-6797,-7053,-7302,-7535,-7749,-7954,-8165,
-8365,-8555,-8734,-8904,-9061,-9204,-9329,-9441,-9552,-9649,-9727,-9788,-9825,-9845,-9853,-9838,-9814,-9780,-9731,-9665,
-9568,-9459,-9343,-9210,-9065,-8906,-8742,-8566,-8361,-8133,-7901,-7659,-7406,-7138,-6866,-6587,-6288,-5973,-5646,-5324,
-5005,-4679,-4346,-4012,-3681,-3335,-2992,-2646,-2314,-1983,-1653,-1319,-989,-654,-318,25,351,676,1007,1334,
1666,2004,2336,2673,3001,3321,3636,3958,4274,4604,4922,5241,5547,5851,6153,6452,6741,7044,7343,7627,
7897,8159,8411,8655,8876,9094,9302,9490,9654,9783,9906,10010,10093,10161,10218,10253,10268,10252,10220,10182,
10132,10059,9979,9874,9760,9615,9453,9275,9089,8891,8674,8442,8190,7932,7648,7361,7070,6772,6472,6162,
5840,5512,5182,4843,4504,4162,3819,3474,3113,2741,2368,1994,1618,1238,858,489,109,-271,-657,-1034,
-1398,-1757,-2114,-2454,-2798,-3134,-3481,-3811,-4132,-4443,-4764,-5063,-5369,-5667,-5974,-6273,-6556,-6824,-7089,-7342,
-7584,-7816,-8042,-8260,-8462,-8637,-8805,-8955,-9108,-9244,-9373,-9484,-9583,-9670,-9732,-9793,-9833,-9877,-9900,-9906,
-9893,-9860,-9806,-9744,-9646,-9555,-9443,-9315,-9163,-8992,-8804,-8608,-8390,-8168,-7942,-7709,-7454,-7183,-6903,-6620,
-6321,-6024,-5720,-5411,-5100,-4768,-4425,-4090,-3746,-3404,-3064,-2722,-2385,-2039,-1687,-1338,-1002,-663,-331,-4,
324,654,987,1326,1652,1979,2296,2614,2934,3258,3588,3916,4242,4568,4881,5189,5504,5816,6123,6427,
6714,7006,7268,7525,7772,8016,8253,8483,8689,8880,9064,9229,9379,9510,9639,9753,9838,9896,9942,9962,
9963,9942,9905,9860,9787,9693,9580,9445,9308,9155,8993,8825,8645,8440,8227,7995,7763,7518,7258,6988,
6710,6412,6106,5784,5455,5122,4786,4441,4093,3739,3383,3021,2660,2302,1949,1604,1249,885,524,164,
-195,-560,-917,-1273,-1627,-1992,-2354,-2707,-3058,-3399,-3734,-4060,-4371,-4684,-4996,-5290,-5579,-5853,-6124,-6387,
-6634,-6876,-7126,-7365,-7596,-7810,-8014,-8216,-8408,-8581,-8750,-8908,-9054,-9178,-9277,-9364,-9442,-9504,-9554,-9584,
-9602,-9604,-9588,-9549,-9497,-9445,-9382,-9303,-9204,-9094,-8964,-8815,-8651,-8474,-8291,-8101,-7875,-7642,-7393,-7129,
-6859,-6570,-6285,-5998,-5696,-5385,-5065,-4746,-4425,-4096,-3770,-3458,-3140,-2813,-2477,-2139,-1818,-1485,-1156,-830,
-512,-177,154,497,827,1153,1480,1800,2123,2451,2770,3096,3420,3733,4046,4349,4663,4978,5288,5606,
5920,6231,6531,6824,7111,7407,7690,7966,8226,8469,8702,8909,9097,9277,9453,9604,9736,9842,9939,10019,
10067,10109,10144,10161,10163,10134,10091,10034,9953,9849,9740,9616,9469,9293,9101,8897,8676,8439,8200,7947,
7690,7416,7126,6829,6531,6227,5924,5607,5288,4967,4622,4271,3913,3549,3194,2825,2451,2072,1686,1301,
910,526,149,-213,-583,-951,-1316,-1679,-2032,-2390,-2729,-3064,-3396,-3729,-4068,-4402,-4725,-5049,-5368,-5664,
-5967,-6255,-6553,-6835,-7098,-7353,-7598,-7815,-8036,-8229,-8425,-8615,-8795,-8955,-9101,-9240,-9366,-9486,-9591,-9693,
-9787,-9858,-9911,-9938,-9957,-9963,-9949,-9920,-9877,-9815,-9729,-9626,-9493,-9362,-9219,-9067,-8893,-8709,-8514,-8296,
-8053,-7818,-7576,-7329,-7068,-6789,-6497,-6201,-5880,-5561,-5242,-4926,-4605,-4271,-3928,-3588,-3244,-2900,-2560,-2231,
-1912,-1580,-1242,-911,-579,-249,76,401,718,1036,1364,1697,2031,2363,2682,3005,3323,3640,3967,4290,
4619,4942,5254,5554,5851,6147,6440,6729,7015,7297,7565,7820,8062,8296,8529,8755,8954,9157,9330,9486,
9614,9730,9833,9923,9978,10022,10042,10034,10003,9954,9898,9835,9749,9649,9529,9398,9250,9084,8911,8735,
8540,8329,8100,7849,7590,7317,7027,6733,6435,6122,5801,5464,5127,4785,4442,4106,3764,3419,3078,2721,
2361,2002,1647,1294,934,568,204,-164,-537,-918,-1287,-1648,-1998,-2360,-2704,-3045,-3378,-3709,-4030,-4330,
-4619,-4914,-5202,-5482,-5765,-6032,-6304,-6560,-6805,-7045,-7286,-7523,-7747,-7955,-8154,-8343,-8510,-8659,-8802,-8933,
-9054,-9152,-9235,-9303,-9354,-9390,-9419,-9435,-9448,-9444,-9424,-9384,-9328,-9259,-9183,-9083,-8973,-8858,-8712,-8549,
-8357,-8156,-7948,-7730,-7495,-7248,-6995,-6729,-6443,-6149,-5864,-5577,-5277,-4980,-4669,-4359,-4041,-3712,-3385,-3072,
-2750,-2427,-2093,-1763,-1430,-1092,-750,-426,-99,220,555,883,1205,1534,1856,2169,2485,2791,3104,3425,
3742,4058,4376,4686,4997,5310,5616,5932,6245,6552,6850,7129,7402,7671,7922,8164,8397,8617,8824,9000,
9160,9313,9454,9577,9684,9781,9863,9922,9955,9978,9984,9975,9944,9891,9823,9732,9609,9466,9316,9152,
8976,8781,8569,8352,8112,7864,7608,7350,7094,6824,6538,6240,5939,5628,5303,4971,4643,4297,3942,3578,
3204,2825,2454,2075,1701,1328,959,586,210,-165,-521,-875,-1227,-1580,-1930,-2273,-2624,-2982,-3321,-3658,
-3989,-4324,-4653,-4978,-5292,-5609,-5913,-6200,-6479,-6739,-7003,-7252,-7487,-7715,-7935,-8139,-8330,-8507,-8691,-8862,
-9027,-9176,-9318,-9442,-9553,-9641,-9729,-9801,-9860,-9903,-9921,-9914,-9895,-9854,-9792,-9728,-9648,-9555,-9447,-9314,
-9164,-9010,-8840,-8661,-8470,-8272,-8062,-7824,-7571,-7307,-7036,-6760,-6470,-6174,-5866,-5555,-5225,-4886,-4553,-4226,
-3899,-3567,-3237,-2911,-2571,-2237,-1902,-1583,-1266,-948,-620,-301,26,353,685,1008,1324,1638,1962,2280,
2612,2936,3256,3577,3886,4192,4499,4810,5123,5436,5740,6037,6328,6615,6896,7177,7456,7738,8002,8253,
8485,8712,8923,9116,9305,9475,9625,9747,9842,9919,9984,10033,10050,10068,10064,10041,9989,9923,9853,9772,
9664,9554,9429,9286,9114,8922,8721,8514,8288,8047,7789,7520,7235,6929,6620,6309,6000,5689,5363,5031,
4696,4360,4016,3672,3327,2983,2638,2275,1905,1529,1155,778,399,21,-337,-712,-1092,-1469,-1835,-2184,
-2531,-2873,-3193,-3514,-3837,-4156,-4471,-4766,-5057,-5351,-5637,-5918,-6194,-6476,-6754,-7010,-7252,-7486,-7712,-7925,
-8128,-8317,-8499,-8663,-8804,-8924,-9037,-9140,-9237,-9318,-9390,-9452,-9491,-9520,-9536,-9531,-9533,-9513,-9479,-9422,
-9348,-9254,-9141,-9007,-8871,-8716,-8551,-8359,-8149,-7924,-7700,-7454,-7205,-6954,-6705,-6432,-6149,-5857,-5563,-5264,
-4953,-4653,-4345,-4033,-3704,-3368,-3036,-2706,-2374,-2050,-1721,-1403,-1077,-737,-406,-85,231,539,858,1168,
1478,1797,2116,2432,2741,3044,3355,3663,3979,4295,4617,4930,5247,5548,5841,6136,6431,6719,6998,7260,
7518,7758,7982,8197,8406,8609,8795,8964,9115,9258,9381,9486,9580,9665,9736,9779,9791,9789,9762,9720,
9653,9576,9485,9370,9229,9070,8906,8730,8536,8337,8137,7924,7694,7450,7190,6926,6661,6379,6087,5786,
5470,5142,4800,4453,4097,3749,3391,3031,2663,2299,1929,1563,1206,850,500,148,-210,-566,-915,-1274,
-1626,-1985,-2323,-2673,-3021,-3375,-3707,-4043,-4369,-4689,-4998,-5290,-5579,-5869,-6145,-6411,-6655,-6896,-7129,-7350,
-7563,-7778,-7989,-8183,-8365,-8538,-8703,-8853,-8992,-9129,-9249,-9352,-9436,-9495,-9547,-9578,-9591,-9595,-9581,-9553,
-9506,-9441,-9359,-9264,-9169,-9061,-8936,-8798,-8647,-8473,-8288,-8085,-7873,-7655,-7425,-7173,-6909,-6627,-6341,-6042,
-5738,-5439,-5140,-4828,-4514,-4188,-3868,-3553,-3230,-2913,-2606,-2295,-1975,-1652,-1327,-1009,-695,-377,-61,247,
567,885,1214,1535,1847,2162,2468,2779,3089,3399,3714,4027,4332,4632,4936,5235,5541,5843,6146,6447,
6747,7031,7306,7580,7850,8110,8359,8598,8811,9016,9192,9350,9495,9636,9748,9840,9912,9969,10002,10015,
10019,10018,9999,9957,9900,9817,9724,9612,9475,9337,9178,9005,8803,8580,8347,8106,7842,7569,7295,7015,
6723,6415,6099,5786,5469,5149,4828,4501,4160,3814,3459,3098,2728,2368,2002,1622,1241,859,469,83,
-302,-671,-1032,-1398,-1755,-2112,-2464,-2803,-3141,-3471,-3782,-4094,-4409,-4730,-5042,-5347,-5649,-5947,-6231,-6509,
-6773,-7048,-7310,-7553,-7776,-7991,-8189,-8372,-8538,-8704,-8862,-9006,-9133,-9243,-9339,-9428,-9505,-9576,-9640,-9690,
-9720,-9733,-9723,-9699,-9662,-9609,-9540,-9458,-9354,-9229,-9081,-8912,-8741,-8558,-8367,-8158,-7935,-7714,-7468,-7205,
-6940,-6682,-6414,-6131,-5843,-5535,-5233,-4904,-4584,-4259,-3937,-3617,-3289,-2946,-2615,-2279,-1948,-1617,-1299,-992,
-669,-346,-23,296,613,928,1237,1541,1846,2165,2485,2806,3122,3434,3747,4050,4355,4668,4982,5293,
5603,5891,6173,6451,6727,6995,7259,7511,7767,7999,8216,8420,8617,8809,8993,9150,9303,9435,9542,9626,
9689,9747,9784,9795,9786,9758,9711,9635,9536,9436,9332,9207,9061,8905,8737,8556,8355,8151,7946,7728,
7490,7233,6962,6681,6388,6082,5771,5455,5127,4793,4437,4084,3730,3378,3030,2678,2325,1980,1624,1266,
908,557,205,-143,-507,-861,-1221,-1584,-1956,-2311,-2658,-2997,-3344,-3676,-3997,-4319,-4632,-4933,-5221,-5488,
-5757,-6027,-6283,-6535,-6774,-7018,-7243,-7457,-7667,-7876,-8076,-8271,-8443,-8607,-8756,-8883,-8993,-9096,-9181,-9258,
-9317,-9349,-9371,-9375,-9357,-9339,-9304,-9262,-9210,-9131,-9046,-8935,-8815,-8689,-8547,-8387,-8223,-8032,-7823,-7585,
-7347,-7102,-6849,-6577,-6301,-6019,-5729,-5423,-5113,-4810,-4512,-4204,-3894,-3582,-3270,-2952,-2627,-2306,-2003,-1688,
-1371,-1051,-735,-413,-94,230,544,846,1155,1472,1782,2095,2405,2711,3013,3315,3614,3909,4219,4529,
4834,5138,5439,5739,6037,6329,6618,6916,7203,7481,7737,7985,8229,8453,8667,8866,9053,9222,9369,9486,
9596,9697,9781,9843,9898,9938,9952,9942,9914,9882,9833,9763,9675,9566,9443,9285,9115,8929,8734,8522,
8296,8052,7799,7535,7256,6975,6688,6405,6106,5796,5481,5161,4833,4495,4151,3810,3455,3090,2716,2335,
1950,1573,1188,805,426,55,-323,-698,-1072,-1433,-1784,-2132,-2476,-2818,-3152,-3491,-3833,-4163,-4481,-4798,
-5115,-5432,-5738,-6040,-6339,-6629,-6891,-7148,-7393,-7636,-7865,-8076,-8275,-8471,-8642,-8803,-8942,-9091,-9228,-9353,
-9466,-9575,-9656,-9734,-9783,-9824,-9860,-9880,-9876,-9855,-9808,-9746,-9665,-9569,-9457,-9337,-9196,-9054,-8879,-8691,
-8495,-8284,-8068,-7841,-7611,-7364,-7103,-6819,-6535,-6243,-5947,-5643,-5336,-5020,-4700,-4363,-4022,-3688,-3365,-3041,
-2711,-2388,-2070,-1745,-1414,-1089,-776,-469,-158,152,464,779,1096,1419,1731,2038,2341,2652,2965,3281,
3598,3910,4224,4519,4821,5123,5422,5727,6025,6314,6596,6866,7136,7395,7647,7903,8154,8386,8604,8803,
8992,9168,9326,9471,9608,9720,9802,9857,9901,9924,9927,9911,9890,9845,9784,9694,9581,9473,9355,9219,
9071,8910,8735,8539,8321,8093,7861,7617,7353,7080,6790,6487,6168,5844,5514,5188,4857,4518,4170,3826,
3472,3122,2771,2419,2073,1728,1359,999,632,257,-105,-472,-843,-1203,-1570,-1938,-2304,-2660,-3000,-3332,
-3659,-3968,-4278,-4581,-4882,-5177,-5454,-5719,-5991,-6252,-6502,-6752,-7004,-7251,-7476,-7686,-7887,-8085,-8268,-8441,
-8594,-8746,-8871,-8973,-9057,-9132,-9197,-9247,-9284,-9312,-9322,-9318,-9294,-9262,-9214,-9165,-9099,-9016,-8917,-8798,
-8657,-8501,-8329,-8150,-7959,-7754,-7524,-7281,-7028,-6767,-6497,-6220,-5945,-5665,-5386,-5086,-4773,-4473,-4165,-3856,
-3553,-3238,-2931,-2614,-2287,-1964,-1647,-1325,-1009,-695,-387,-75,243,564,873,1177,1479,1780,2083,2381,
2689,2999,3298,3601,3894,4191,4491,4799,5101,5410,5708,6006,6292,6573,6844,7121,7387,7642,7875,8108,
8319,8509,8688,8856,9020,9170,9295,9394,9495,9562,9618,9662,9699,9718,9710,9678,9634,9566,9482,9370,
9252,9118,8970,8783,8586,8383,8171,7936,7699,7455,7208,6939,6664,6374,6087,5793,5486,5174,4859,4525,
4184,3828,3468,3102,2738,2370,2000,1618,1239,865,487,116,-247,-605,-957,-1319,-1676,-2025,-2374,-2717,
-3060,-3392,-3726,-4060,-4401,-4725,-5049,-5363,-5672,-5972,-6254,-6531,-6808,-7073,-7321,-7546,-7767,-7982,-8178,-8361,
-8546,-8726,-8892,-9039,-9168,-9300,-9420,-9525,-9615,-9699,-9768,-9816,-9827,-9834,-9829,-9806,-9757,-9706,-9624,-9537,
-9422,-9293,-9153,-9000,-8845,-8674,-8477,-8280,-8064,-7835,-7588,-7334,-7078,-6819,-6529,-6231,-5926,-5617,-5293,-4971,
-4644,-4331,-4009,-3677,-3341,-3014,-2690,-2366,-2046,-1729,-1424,-1110,-787,-462,-154,154,465,772,1074,1388,
1700,2020,2332,2633,2937,3243,3543,3845,4149,4463,4766,5068,5355,5647,5934,6229,6519,6798,7086,7353,
7615,7867,8104,8349,8580,8795,9003,9188,9352,9496,9618,9730,9831,9908,9960,9992,10008,10003,9978,9935,
9893,9830,9755,9651,9536,9406,9264,9099,8935,8748,8553,8329,8092,7830,7571,7291,7004,6706,6408,6091,
5765,5435,5108,4769,4436,4099,3757,3415,3059,2702,2339,1975,1609,1251,880,498,119,-259,-642,-1020,
-1391,-1743,-2103,-2457,-2804,-3143,-3474,-3799,-4116,-4420,-4711,-5010,-5311,-5600,-5881,-6159,-6433,-6690,-6945,-7186,
-7435,-7673,-7891,-8092,-8283,-8451,-8612,-8749,-8879,-9007,-9120,-9201,-9275,-9332,-9381,-9416,-9436,-9456,-9466,-9451,
-9412,-9354,-9290,-9215,-9122,-9011,-8885,-8744,-8579,-8392,-8186,-7976,-7757,-7536,-7294,-7042,-6783,-6506,-6222,-5937,
-5653,-5371,-5080,-4774,-4459,-4153,-3829,-3504,-3183,-2877,-2563,-2239,-1917,-1595,-1278,-955,-635,-330,-34,266,
584,886,1195,1496,1796,2094,2383,2673,2975,3279,3578,3888,4181,4480,4770,5063,5351,5653,5943,6231,
6509,6771,7023,7271,7514,7742,7968,8179,8376,8547,8704,8856,8998,9132,9240,9339,9422,9479,9515,9531,
9544,9541,9509,9452,9384,9291,9174,9035,8888,8746,8578,8391,8194,7985,7763,7528,7289,7048,6799,6532,
6255,5963,5666,5353,5034,4704,4372,4029,3682,3317,2951,2586,2215,1848,1488,1126,763,402,36,-323,
-671,-1025,-1372,-1722,-2071,-2419,-2770,-3121,-3466,-3797,-4121,-4452,-4775,-5088,-5399,-5698,-5986,-6261,-6518,-6765,
-7016,-7249,-7473,-7685,-7894,-8094,-8270,-8438,-8610,-8776,-8922,-9058,-9180,-9295,-9380,-9454,-9508,-9569,-9600,-9610,
-9603,-9572,-9529,-9463,-9389,-9302,-9203,-9094,-8962,-8818,-8659,-8487,-8302,-8112,-7902,-7679,-7448,-7203,-6928,-6653,
-6376,-6086,-5788,-5484,-5173,-4863,-4538,-4207,-3889,-3576,-3256,-2946,-2620,-2305,-1990,-1667,-1346,-1047,-738,-431,
-122,188,494,800,1115,1419,1715,2010,2309,2615,2916,3219,3517,3815,4108,4396,4687,4988,5284,5581,
5874,6157,6441,6724,6995,7270,7543,7806,8055,8293,8514,8730,8926,9112,9283,9440,9571,9685,9768,9840,
9904,9951,9965,9978,9969,9942,9887,9829,9754,9676,9566,9443,9305,9151,8974,8776,8569,8346,8120,7872,
7602,7322,7033,6727,6426,6112,5806,5484,5155,4826,4485,4144,3800,3444,3097,2742,2375,2002,1626,1236,
858,472,87,-292,-675,-1050,-1424,-1807,-2163,-2514,-2860,-3197,-3530,-3851,-4177,-4501,-4815,-5115,-5415,-5714,
-6009,-6300,-6580,-6860,-7135,-7385,-7629,-7850,-8076,-8283,-8473,-8651,-8822,-8967,-9099,-9210,-9322,-9422,-9508,-9585,
-9649,-9691,-9727,-9740,-9740,-9736,-9717,-9678,-9623,-9541,-9445,-9329,-9195,-9047,-8889,-8715,-8527,-8316,-8086,-7858,
-7615,-7362,-7108,-6850,-6575,-6293,-5990,-5684,-5382,-5080,-4763,-4447,-4133,-3813,-3478,-3145,-2810,-2493,-2176,-1850,
-1536,-1226,-900,-582,-268,31,325,628,931,1230,1531,1837,2141,2439,2729,3019,3319,3616,3922,4229,
4523,4822,5109,5398,5676,5959,6244,6524,6788,7040,7283,7509,7739,7950,8160,8366,8550,8713,8867,9004,
9129,9234,9330,9419,9483,9518,9530,9524,9503,9466,9403,9326,9240,9132,9001,8847,8690,8532,8350,8164,
7971,7759,7541,7294,7048,6794,6532,6252,5966,5662,5347,5018,4680,4345,4005,3658,3314,2954,2598,2242,
1878,1524,1172,828,486,132,-219,-577,-934,-1281,-1635,-1985,-2327,-2671,-3018,-3368,-3701,-4027,-4347,-4659,
-4953,-5242,-5524,-5805,-6076,-6326,-6566,-6801,-7029,-7246,-7452,-7666,-7873,-8059,-8226,-8392,-8545,-8681,-8813,-8930,
-9035,-9120,-9186,-9230,-9259,-9265,-9269,-9256,-9230,-9179,-9116,-9031,-8941,-8833,-8720,-8599,-8457,-8303,-8127,-7937,
-7737,-7506,-7281,-7043,-6793,-6527,-6249,-5952,-5656,-5351,-5040,-4733,-4434,-4118,-3803,-3473,-3159,-2847,-2527,-2217,
-1909,-1603,-1287,-966,-647,-342,-30,271,572,871,1169,1481,1788,2087,2378,2669,2961,3256,3541,3839,
4132,4422,4713,4987,5270,5559,5843,6133,6416,6692,6969,7233,7487,7732,7976,8222,8448,8656,8853,9034,
9183,9326,9449,9574,9678,9747,9806,9852,9874,9886,9880,9860,9833,9785,9706,9618,9515,9395,9254,9097,
8929,8748,8536,8312,8071,7821,7567,7289,7012,6733,6432,6128,5812,5502,5186,4864,4532,4205,3859,3502,
3143,2773,2408,2039,1665,1282,896,505,125,-262,-647,-1011,-1379,-1743,-2102,-2461,-2801,-3145,-3476,-3811,
-4130,-4444,-4770,-5096,-5410,-5715,-6012,-6309,-6604,-6871,-7142,-7404,-7652,-7891,-8106,-8308,-8503,-8678,-8840,-8998,
-9145,-9271,-9390,-9487,-9581,-9668,-9731,-9785,-9834,-9868,-9875,-9864,-9837,-9788,-9737,-9651,-9562,-9446,-9318,-9162,
-8996,-8811,-8617,-8418,-8205,-7973,-7733,-7480,-7218,-6941,-6664,-6384,-6096,-5791,-5478,-5160,-4841,-4515,-4184,-3855,
-3535,-3212,-2878,-2543,-2217,-1899,-1575,-1259,-954,-649,-340,-32,280,577,876,1172,1465,1756,2055,2351,
2654,2951,3240,3532,3818,4103,4402,4689,4986,5280,5568,5839,6114,6382,6646,6905,7160,7407,7639,7865,
8071,8274,8475,8660,8830,8990,9127,9250,9346,9433,9497,9557,9586,9598,9582,9555,9508,9432,9345,9255,
9152,9029,8887,8732,8567,8394,8198,8005,7803,7584,7340,7081,6809,6536,6242,5943,5631,5316,4989,4649,
4300,3955,3611,3261,2916,2568,2220,1870,1503,1154,796,446,91,-266,-628,-993,-1358,-1727,-2090,-2451,
-2790,-3137,-3476,-3817,-4147,-4461,-4775,-5068,-5353,-5626,-5901,-6169,-6433,-6679,-6930,-7166,-7392,-7597,-7823,-8033,
-8230,-8414,-8576,-8736,-8869,-8991,-9092,-9184,-9268,-9332,-9370,-9390,-9399,-9390,-9371,-9336,-9296,-9244,-9170,-9078,
-8978,-8854,-8718,-8579,-8418,-8246,-8050,-7840,-7609,-7360,-7109,-6848,-6572,-6294,-6009,-5702,-5398,-5086,-4770,-4455,
-4146,-3839,-3517,-3195,-2879,-2554,-2226,-1903,-1592,-1285,-966,-652,-335,-19,289,599,903,1191,1488,1791,
2094,2392,2689,2978,3269,3551,3833,4124,4424,4712,5009,5292,5576,5857,6133,6412,6692,6966,7237,7488,
7727,7957,8182,8393,8591,8772,8946,9097,9224,9341,9439,9535,9609,9667,9707,9742,9743,9727,9703,9662,
9611,9540,9440,9328,9198,9045,8875,8685,8497,8290,8062,7824,7571,7313,7036,6754,6482,6196,5904,5600,
5280,4965,4632,4294,3952,3603,3251,2890,2511,2130,1756,1370,993,614,235,-133,-510,-881,-1249,-1610,
-1958,-2304,-2644,-2995,-3331,-3672,-4004,-4344,-4667,-4983,-5305,-5625,-5929,-6232,-6522,-6815,-7082,-7326,-7567,-7811,
-8028,-8241,-8431,-8619,-8790,-8941,-9084,-9223,-9360,-9473,-9578,-9667,-9745,-9807,-9845,-9880,-9896,-9897,-9877,-9834,
-9776,-9696,-9596,-9482,-9351,-9208,-9054,-8875,-8687,-8483,-8265,-8037,-7801,-7557,-7305,-7038,-6760,-6456,-6153,-5851,
-5544,-5224,-4902,-4575,-4243,-3903,-3555,-3228,-2909,-2582,-2259,-1934,-1610,-1302,-976,-659,-361,-64,240,548,
854,1146,1451,1752,2049,2337,2629,2922,3220,3516,3805,4102,4393,4676,4965,5246,5539,5822,6098,6370,
6633,6892,7147,7392,7635,7873,8102,8314,8514,8693,8875,9036,9180,9313,9428,9522,9596,9631,9665,9684,
9683,9658,9623,9566,9495,9398,9294,9183,9062,8918,8768,8599,8423,8225,8005,7778,7543,7296,7032,6745,
6457,6153,5836,5515,5191,4863,4529,4190,3845,3501,3155,2809,2458,2112,1763,1404,1042,673,1,-5,
-213,-644,-1074,-1383,-1508,-1491,-1349,-1115,-831,-527,-156,333,960,1619,2198,2647,2985,3235,3425,3595,
3777,3988,4199,4404,4652,4995,5427,5912,6409,6909,7376,7759,8061,8281,8426,8480,8428,8301,8139,7951,
7759,7573,7398,7236,7060,6875,6684,6474,6237,5969,5654,5301,4912,4499,4068,3631,3187,2748,2306,1883,
1482,1110,756,417,92,-215,-524,-819,-1083,-1326,-1569,-1834,-2131,-2443,-2757,-3076,-3374,-3653,-3920,-4191,
-4483,-4782,-5062,-5328,-5570,-5798,-6017,-6235,-6477,-6748,-7034,-7315,-7589,-7861,-8147,-8440,-8740,-9069,-9391,-9689,
-9937,-10141,-10328,-10490,-10631,-10755,-10862,-10929,-10951,-10922,-10876,-10830,-10774,-10713,-10627,-10506,-10326,-10077,-9757,-9385,
-8960,-8468,-7901,-7254,-6538,-5768,-4963,-4148,-3365,-2624,-1922,-1262,-653,-109,372,792,1148,1434,1652,1811,
1911,1963,1961,1912,1821,1701,1552,1381,1181,972,762,548,348,165,15,-96,-167,-198,-182,-120,
-20,119,298,525,800,1121,1493,1908,2360,2846,3369,3932,4527,5145,5784,6430,7066,7663,8224,8745,
9212,9600,9906,10133,10295,10392,10424,10414,10380,10314,10207,10065,9912,9757,9583,9381,9167,8933,8681,8387,
8067,7740,7418,7071,6709,6343,5974,5610,5242,4885,4557,4254,3954,3654,3360,3085,2813,2532,2256,1993,
1714,1423,1107,789,472,152,-169,-480,-787,-1086,-1387,-1683,-1960,-2221,-2469,-2711,-2957,-3195,-3437,-3692,
-3949,-4204,-4458,-4718,-4996,-5287,-5574,-5869,-6158,-6438,-6697,-6936,-7172,-7401,-7610,-7797,-7969,-8129,-8269,-8390,
-8509,-8634,-8773,-8907,-9033,-9153,-9276,-9385,-9469,-9538,-9584,-9596,-9551,-9447,-9285,-9062,-8764,-8387,-7951,-7457,
-6912,-6324,-5699,-5060,-4422,-3777,-3130,-2499,-1889,-1311,-764,-261,191,596,944,1242,1478,1657,1768,1813,
1802,1741,1637,1488,1307,1116,908,688,469,256,52,-138,-323,-500,-666,-824,-966,-1083,-1172,-1226,
-1245,-1225,-1159,-1041,-868,-627,-315,72,528,1044,1616,2238,2894,3583,4303,5051,5803,6551,7295,8021,
8727,9387,10005,10569,11063,11460,11764,11975,12107,12153,12118,12012,11861,11648,11385,11080,10757,10443,10113,9770,
9432,9102,8770,8430,8095,7775,7467,7148,6816,6479,6135,5779,5406,5032,4672,4314,3947,3574,3206,2854,
2514,2185,1877,1593,1323,1055,781,516,259,4,-254,-510,-767,-1035,-1323,-1623,-1918,-2208,-2497,-2785,
-3069,-3347,-3623,-3907,-4185,-4441,-4681,-4918,-5160,-5404,-5648,-5902,-6166,-6429,-6679,-6930,-7197,-7485,-7778,-8075,
-8373,-8664,-8934,-9180,-9410,-9637,-9856,-10051,-10223,-10366,-10481,-10565,-10621,-10675,-10724,-10768,-10782,-10762,-10702,-10605,
-10453,-10245,-9990,-9669,-9263,-8754,-8147,-7465,-6726,-5940,-5128,-4312,-3504,-2707,-1926,-1196,-525,78,606,1072,
1469,1805,2079,2291,2444,2535,2564,2540,2466,2349,2194,2004,1792,1564,1329,1080,827,577,336,116,
-78,-242,-367,-456,-516,-550,-551,-514,-438,-318,-154,66,336,662,1041,1483,1972,2502,3073,3673,
4300,4939,5596,6258,6906,7509,8062,8568,9025,9419,9761,10055,10297,10467,10557,10583,10569,10515,10418,10283,
10117,9917,9668,9375,9064,8753,8433,8100,7763,7419,7074,6713,6359,6023,5712,5414,5111,4811,4513,4213,
3906,3597,3294,2999,2693,2366,2035,1702,1367,1037,708,398,97,-205,-503,-799,-1078,-1342,-1601,-1845,
-2082,-2318,-2562,-2825,-3085,-3339,-3598,-3863,-4134,-4404,-4681,-4970,-5259,-5535,-5797,-6048,-6297,-6535,-6766,-6989,
-7211,-7425,-7620,-7807,-7990,-8180,-8367,-8550,-8732,-8918,-9089,-9236,-9365,-9488,-9599,-9686,-9733,-9747,-9719,-9641,
-9502,-9322,-9097,-8833,-8508,-8123,-7687,-7205,-6678,-6117,-5534,-4942,-4343,-3730,-3105,-2486,-1887,-1316,-778,-290,
142,514,833,1093,1299,1446,1528,1560,1543,1489,1398,1281,1145,994,834,663,486,308,129,-47,
-216,-375,-510,-625,-711,-764,-772,-731,-640,-492,-288,-21,302,688,1131,1635,2182,2781,3415,4075,
4750,5443,6154,6874,7585,8271,8928,9541,10089,10559,10955,11281,11525,11670,11728,11713,11637,11498,11304,11086,
10856,10597,10316,10021,9724,9431,9129,8822,8521,8221,7912,7585,7246,6905,6564,6205,5841,5478,5115,4744,
4363,3989,3630,3285,2941,2606,2287,1978,1669,1367,1076,796,519,240,-44,-327,-616,-910,-1209,-1504,
-1795,-2081,-2377,-2667,-2954,-3231,-3508,-3775,-4035,-4280,-4526,-4771,-5019,-5261,-5504,-5750,-6003,-6253,-6504,-6773,
-7051,-7327,-7598,-7867,-8136,-8395,-8641,-8873,-9107,-9327,-9522,-9690,-9839,-9978,-10103,-10209,-10302,-10389,-10460,-10497,
-10502,-10484,-10444,-10370,-10243,-10067,-9829,-9512,-9101,-8607,-8047,-7424,-6749,-6016,-5246,-4454,-3654,-2855,-2079,-1347,
-664,-37,534,1048,1501,1885,2210,2458,2650,2767,2820,2814,2757,2648,2499,2309,2091,1853,1595,1318,
1039,764,491,228,-21,-251,-457,-642,-802,-928,-1027,-1090,-1126,-1130,-1094,-1007,-858,-648,-372,-28,
370,828,1344,1909,2522,3178,3864,4571,5278,5980,6682,7364,8023,8640,9201,9707,10146,10508,10799,11026,
11192,11286,11300,11256,11156,11003,10802,10568,10318,10050,9751,9424,9091,8751,8407,8062,7723,7394,7065,6725,
6382,6046,5715,5386,5052,4725,4392,4049,3692,3332,2975,2628,2278,1930,1589,1251,914,577,257,-51,
-342,-632,-917,-1201,-1478,-1759,-2042,-2317,-2586,-2853,-3134,-3420,-3706,-3987,-4271,-4551,-4825,-5082,-5345,-5608,
-5869,-6119,-6352,-6584,-6809,-7020,-7227,-7437,-7658,-7881,-8095,-8297,-8502,-8703,-8892,-9074,-9258,-9440,-9600,-9731,
-9836,-9918,-9983,-10016,-10023,-10004,-9961,-9870,-9725,-9541,-9326,-9066,-8759,-8403,-7999,-7550,-7038,-6482,-5892,-5284,
-4666,-4041,-3412,-2801,-2212,-1653,-1136,-675,-276,65,356,593,783,918,1007,1052,1060,1026,963,882,
780,670,547,417,284,144,12,-118,-228,-314,-369,-389,-371,-317,-213,-65,138,389,702,1066,
1482,1946,2453,3003,3591,4224,4883,5558,6238,6921,7601,8273,8909,9510,10064,10549,10948,11257,11487,11650,
11739,11751,11710,11611,11470,11281,11059,10830,10591,10339,10071,9787,9495,9196,8877,8551,8230,7902,7563,7207,
6839,6468,6095,5713,5339,4975,4616,4259,3897,3544,3204,2870,2543,2227,1922,1620,1311,997,692,390,
90,-216,-519,-816,-1122,-1430,-1735,-2030,-2311,-2589,-2860,-3129,-3386,-3646,-3906,-4161,-4407,-4647,-4891,-5148,
-5400,-5659,-5925,-6198,-6466,-6728,-6985,-7246,-7515,-7773,-8021,-8264,-8496,-8706,-8899,-9080,-9264,-9435,-9591,-9728,
-9853,-9964,-10053,-10120,-10178,-10222,-10237,-10212,-10138,-10016,-9842,-9606,-9308,-8948,-8530,-8039,-7473,-6847,-6181,-5487,
-4774,-4060,-3352,-2660,-1987,-1341,-728,-168,333,774,1155,1474,1735,1931,2073,2151,2176,2141,2061,1933,
1773,1581,1367,1133,892,642,390,135,-112,-349,-567,-771,-958,-1118,-1259,-1371,-1454,-1501,-1501,-1457,
-1357,-1206,-995,-723,-388,17,484,1015,1594,2223,2891,3593,4321,5074,5840,6606,7349,8061,8742,9373,
9949,10457,10895,11265,11536,11715,11814,11843,11809,11714,11566,11379,11154,10888,10590,10275,9955,9632,9294,8952,
8606,8259,7901,7538,7186,6839,6496,6143,5787,5433,5075,4711,4345,3991,3642,3289,2933,2581,2239,1898,
1562,1238,928,623,319,17,-281,-574,-859,-1141,-1424,-1700,-1978,-2264,-2554,-2841,-3123,-3399,-3679,-3958,
-4232,-4507,-4785,-5065,-5330,-5588,-5841,-6097,-6349,-6595,-6843,-7093,-7345,-7584,-7813,-8047,-8286,-8519,-8747,-8967,
-9183,-9383,-9557,-9714,-9867,-10010,-10132,-10226,-10300,-10354,-10375,-10362,-10329,-10273,-10196,-10070,-9895,-9669,-9390,-9047,
-8650,-8197,-7704,-7165,-6571,-5937,-5277,-4608,-3947,-3296,-2674,-2091,-1553,-1049,-592,-190,154,442,678,855,
983,1067,1112,1119,1095,1039,961,859,743,613,474,331,191,58,-65,-172,-251,-305,-323,-304,
-241,-138,8,201,448,749,1102,1509,1963,2457,2994,3560,4161,4793,5453,6121,6791,7452,8091,8697,
9257,9768,10229,10625,10935,11169,11325,11419,11448,11419,11347,11244,11102,10915,10701,10471,10232,9972,9698,9414,
9129,8822,8496,8163,7827,7493,7147,6800,6449,6104,5749,5392,5045,4709,4380,4049,3725,3404,3084,2764,
2447,2139,1839,1538,1231,926,619,314,8,-297,-590,-878,-1162,-1450,-1735,-2013,-2281,-2548,-2811,-3068,
-3323,-3583,-3847,-4116,-4378,-4642,-4905,-5175,-5439,-5706,-5982,-6258,-6526,-6782,-7031,-7277,-7520,-7748,-7971,-8192,
-8403,-8592,-8768,-8928,-9089,-9238,-9374,-9498,-9611,-9699,-9760,-9785,-9788,-9766,-9703,-9594,-9434,-9219,-8950,-8608,
-8204,-7755,-7265,-6724,-6142,-5527,-4893,-4247,-3594,-2958,-2345,-1756,-1203,-679,-203,227,598,911,1167,1363,
1499,1583,1615,1596,1537,1429,1285,1113,920,706,480,249,23,-206,-432,-654,-862,-1057,-1228,-1376,
-1491,-1571,-1614,-1618,-1581,-1497,-1356,-1163,-902,-580,-195,247,751,1308,1920,2575,3268,3991,4735,5486,
6236,6983,7714,8415,9066,9657,10179,10625,10982,11257,11461,11587,11637,11612,11525,11390,11209,10990,10746,10488,
10212,9913,9593,9268,8940,8604,8265,7928,7593,7252,6898,6538,6184,5835,5479,5125,4775,4426,4070,3709,
3355,3007,2667,2335,2003,1679,1360,1042,731,426,132,-155,-441,-730,-1017,-1301,-1586,-1871,-2152,-2424,
-2696,-2973,-3250,-3525,-3797,-4071,-4339,-4599,-4854,-5113,-5372,-5636,-5890,-6141,-6388,-6638,-6876,-7114,-7355,-7602,
-7848,-8079,-8305,-8526,-8739,-8938,-9128,-9315,-9495,-9657,-9790,-9905,-10006,-10092,-10158,-10203,-10230,-10232,-10198,-10119,
-10007,-9854,-9664,-9416,-9111,-8748,-8321,-7828,-7273,-6676,-6051,-5399,-4732,-4058,-3387,-2735,-2111,-1517,-976,-492,
-61,314,637,910,1122,1282,1392,1452,1461,1435,1372,1284,1168,1029,872,700,520,333,140,-39,
-205,-356,-485,-587,-665,-706,-707,-665,-579,-439,-250,-10,283,628,1022,1471,1965,2505,3086,3693,
4331,4989,5666,6347,7023,7684,8320,8907,9439,9923,10341,10699,10980,11187,11323,11394,11391,11337,11243,11120,
10958,10764,10540,10301,10038,9757,9463,9168,8866,8549,8219,7880,7540,7194,6843,6499,6161,5823,5479,5138,
4796,4465,4138,3806,3484,3169,2852,2532,2213,1898,1587,1279,970,667,366,66,-237,-536,-822,-1101,
-1378,-1649,-1919,-2184,-2446,-2711,-2970,-3223,-3471,-3726,-3989,-4248,-4503,-4765,-5030,-5288,-5538,-5783,-6031,-6284,
-6524,-6760,-6989,-7214,-7426,-7623,-7820,-8014,-8206,-8380,-8541,-8695,-8835,-8954,-9061,-9155,-9239,-9298,-9322,-9310,
-9267,-9190,-9072,-8908,-8706,-8457,-8152,-7786,-7367,-6907,-6411,-5887,-5338,-4769,-4196,-3612,-3029,-2461,-1921,-1414,
-950,-524,-147,184,465,695,874,995,1062,1080,1053,988,891,763,618,452,272,82,-114,-307,
-495,-678,-847,-997,-1131,-1240,-1316,-1359,-1366,-1335,-1258,-1133,-960,-729,-445,-99,310,776,1294,1858,
2465,3108,3781,4478,5200,5927,6649,7353,8017,8644,9228,9745,10196,10575,10874,11089,11222,11280,11281,11228,
11121,10971,10787,10572,10324,10051,9766,9476,9175,8860,8538,8211,7878,7537,7193,6851,6513,6173,5825,5474,
5124,4776,4423,4075,3732,3397,3056,2713,2376,2047,1723,1406,1098,798,502,206,-90,-379,-666,-947,
-1224,-1500,-1772,-2046,-2324,-2596,-2869,-3131,-3395,-3660,-3919,-4178,-4439,-4697,-4957,-5210,-5450,-5700,-5946,-6194,
-6438,-6679,-6925,-7164,-7393,-7618,-7845,-8073,-8294,-8504,-8706,-8904,-9081,-9243,-9390,-9535,-9665,-9781,-9869,-9940,
-9988,-10013,-10007,-9974,-9921,-9836,-9697,-9514,-9270,-8974,-8625,-8210,-7746,-7234,-6672,-6061,-5422,-4758,-4092,-3430,
-2784,-2166,-1581,-1033,-530,-71,332,678,961,1193,1371,1498,1573,1605,1594,1545,1452,1335,1189,1024,
840,644,443,235,29,-175,-369,-549,-709,-837,-937,-1004,-1030,-1018,-963,-859,-709,-498,-233,81,
450,868,1335,1851,2410,3012,3647,4304,4984,5668,6354,7031,7694,8328,8924,9458,9927,10325,10654,10911,
11092,11209,11266,11259,11194,11079,10932,10756,10549,10322,10076,9818,9531,9231,8918,8602,8282,7953,7619,7279,
6935,6590,6236,5889,5549,5214,4874,4538,4204,3872,3538,3209,2888,2571,2253,1936,1614,1299,984,672,
363,65,-232,-524,-820,-1109,-1392,-1670,-1942,-2208,-2470,-2727,-2989,-3253,-3515,-3772,-4031,-4288,-4547,-4803,
-5059,-5319,-5579,-5833,-6077,-6313,-6551,-6782,-7007,-7228,-7445,-7657,-7854,-8033,-8212,-8383,-8549,-8700,-8843,-8974,
-9090,-9176,-9244,-9294,-9327,-9336,-9312,-9255,-9164,-9029,-8842,-8615,-8344,-8034,-7674,-7261,-6800,-6307,-5774,-5215,
-4643,-4068,-3498,-2932,-2379,-1844,-1347,-889,-474,-109,203,464,674,834,947,1007,1021,998,933,844,
729,593,449,291,128,-46,-213,-379,-534,-675,-791,-889,-962,-1006,-1019,-997,-930,-818,-654,-434,
-162,167,547,982,1469,2001,2576,3189,3829,4494,5168,5844,6526,7193,7841,8446,9003,9504,9939,10299,
10587,10812,10966,11047,11060,11011,10915,10778,10598,10396,10167,9922,9653,9363,9064,8761,8450,8131,7808,7485,
7159,6815,6471,6127,5786,5441,5093,4743,4400,4047,3694,3340,2997,2661,2325,1993,1670,1349,1032,719,
411,115,-176,-471,-761,-1048,-1335,-1618,-1906,-2183,-2456,-2730,-3001,-3275,-3545,-3807,-4071,-4326,-4581,-4827,
-5077,-5328,-5580,-5822,-6060,-6294,-6528,-6757,-6983,-7210,-7439,-7663,-7874,-8080,-8278,-8472,-8651,-8821,-8985,-9139,
-9274,-9389,-9483,-9565,-9631,-9674,-9696,-9697,-9670,-9605,-9495,-9349,-9168,-8941,-8661,-8322,-7925,-7478,-6971,-6414,
-5825,-5216,-4584,-3943,-3302,-2666,-2053,-1466,-920,-417,29,426,774,1072,1312,1505,1640,1727,1765,1752,
1703,1618,1500,1358,1190,1002,801,589,369,143,-77,-288,-489,-672,-832,-968,-1068,-1132,-1162,-1147,
-1089,-985,-834,-625,-367,-47,326,755,1240,1770,2343,2954,3605,4288,4992,5712,6437,7150,7840,8493,
9107,9673,10178,10604,10957,11231,11424,11544,11596,11589,11539,11433,11286,11095,10880,10642,10374,10093,9803,9498,
9180,8842,8500,8151,7797,7436,7082,6728,6369,6009,5651,5292,4944,4597,4252,3912,3570,3233,2890,2548,
2216,1886,1559,1237,912,597,282,-33,-341,-641,-933,-1219,-1504,-1784,-2058,-2330,-2600,-2863,-3124,-3379,
-3641,-3905,-4168,-4430,-4693,-4952,-5217,-5466,-5717,-5968,-6216,-6463,-6695,-6923,-7149,-7363,-7568,-7771,-7973,-8171,
-8356,-8525,-8684,-8839,-8978,-9105,-9224,-9331,-9419,-9477,-9512,-9523,-9510,-9468,-9390,-9287,-9141,-8949,-8700,-8406,
-8063,-7681,-7254,-6784,-6279,-5744,-5178,-4599,-4010,-3433,-2872,-2336,-1820,-1343,-905,-509,-163,132,369,554,
691,782,833,843,818,764,678,573,449,314,174,27,-120,-263,-404,-534,-652,-754,-827,-875,
-890,-871,-814,-711,-565,-368,-113,198,561,970,1426,1924,2465,3040,3649,4284,4936,5597,6249,6892,
7518,8113,8674,9188,9644,10041,10359,10602,10776,10883,10936,10925,10863,10754,10607,10420,10205,9971,9724,9468,
9190,8903,8609,8306,7992,7674,7356,7039,6711,6375,6033,5691,5349,5001,4651,4308,3965,3624,3282,2940,
2608,2284,1962,1646,1340,1036,734,432,135,-157,-445,-732,-1020,-1303,-1586,-1871,-2158,-2438,-2708,-2977,
-3243,-3507,-3769,-4025,-4284,-4537,-4786,-5030,-5268,-5514,-5756,-5994,-6232,-6467,-6704,-6928,-7147,-7368,-7589,-7801,
-8004,-8196,-8380,-8551,-8701,-8841,-8974,-9095,-9196,-9276,-9335,-9378,-9394,-9384,-9351,-9293,-9202,-9070,-8888,-8660,
-8383,-8058,-7678,-7253,-6787,-6275,-5721,-5137,-4536,-3931,-3327,-2734,-2164,-1620,-1105,-628,-192,199,532,817,
1057,1243,1379,1469,1515,1517,1479,1401,1290,1159,1002,828,636,439,234,26,-175,-367,-547,-703,
-834,-937,-1012,-1052,-1057,-1022,-944,-815,-642,-414,-135,204,589,1031,1519,2062,2649,3273,3929,4611,
5311,6020,6724,7417,8092,8728,9308,9831,10286,10677,10987,11228,11394,11493,11531,11503,11421,11303,11153,10964,
10752,10512,10254,9976,9676,9364,9048,8723,8388,8042,7700,7352,6997,6642,6292,5945,5604,5259,4911,4567,
4224,3880,3540,3202,2866,2534,2195,1858,1529,1198,875,557,241,-64,-368,-672,-967,-1257,-1544,-1823,
-2101,-2376,-2645,-2919,-3195,-3466,-3736,-4002,-4275,-4547,-4816,-5087,-5357,-5626,-5890,-6139,-6389,-6632,-6875,-7109,
-7337,-7561,-7780,-7987,-8183,-8373,-8560,-8743,-8910,-9067,-9214,-9346,-9453,-9548,-9625,-9689,-9729,-9737,-9718,-9668,
-9581,-9454,-9289,-9086,-8842,-8546,-8196,-7791,-7343,-6854,-6323,-5766,-5192,-4606,-4007,-3411,-2824,-2267,-1742,-1256,
-813,-423,-84,207,452,643,782,870,913,915,884,821,734,625,501,360,204,45,-120,-287,
-447,-601,-741,-864,-970,-1048,-1098,-1106,-1078,-1004,-886,-716,-499,-232,93,471,902,1375,1890,2444,
3026,3632,4262,4913,5573,6233,6878,7502,8094,8646,9145,9591,9973,10290,10532,10698,10797,10836,10818,10752,
10645,10505,10332,10131,9902,9658,9409,9146,8871,8590,8299,7996,7683,7361,7036,6712,6375,6036,5695,5351,
5002,4652,4307,3965,3632,3299,2968,2644,2324,2006,1693,1385,1085,787,486,185,-110,-410,-704,-1000,
-1289,-1579,-1860,-2144,-2426,-2698,-2966,-3230,-3491,-3745,-3993,-4243,-4495,-4748,-4991,-5233,-5473,-5717,-5954,-6190,
-6427,-6664,-6895,-7114,-7327,-7534,-7734,-7925,-8101,-8269,-8431,-8572,-8694,-8802,-8898,-8978,-9043,-9090,-9117,-9121,
-9094,-9030,-8944,-8822,-8667,-8465,-8214,-7916,-7567,-7163,-6716,-6228,-5713,-5175,-4614,-4037,-3463,-2890,-2345,-1812,
-1316,-861,-438,-60,278,569,809,998,1143,1231,1280,1281,1248,1181,1081,951,801,630,445,252,
59,-133,-316,-491,-650,-788,-907,-999,-1061,-1088,-1076,-1029,-938,-804,-623,-389,-103,236,634,1077,
1572,2108,2687,3308,3956,4631,5321,6013,6699,7366,8001,8603,9162,9664,10098,10463,10754,10972,11115,11199,
11225,11204,11129,11008,10848,10659,10439,10196,9935,9658,9369,9063,8739,8410,8079,7739,7395,7052,6712,6370,
6020,5668,5324,4980,4638,4292,3948,3604,3259,2914,2566,2227,1893,1557,1228,904,581,266,-43,-349,
-646,-935,-1221,-1505,-1786,-2065,-2339,-2611,-2881,-3147,-3414,-3682,-3952,-4222,-4486,-4753,-5018,-5278,-5535,-5784,
-6034,-6284,-6524,-6754,-6982,-7203,-7418,-7630,-7834,-8039,-8240,-8423,-8599,-8767,-8928,-9075,-9207,-9327,-9439,-9523,
-9583,-9617,-9632,-9621,-9581,-9509,-9407,-9262,-9074,-8835,-8549,-8219,-7841,-7415,-6940,-6427,-5880,-5296,-4695,-4081,
-3476,-2883,-2310,-1763,-1248,-774,-347,26,349,615,826,985,1100,1170,1191,1175,1122,1042,935,804,
660,499,328,146,-42,-228,-417,-596,-762,-910,-1033,-1135,-1207,-1240,-1237,-1195,-1101,-959,-760,-512,
-215,137,538,984,1477,2007,2578,3182,3806,4450,5103,5768,6426,7071,7692,8277,8814,9293,9706,10051,
10328,10544,10681,10751,10764,10727,10637,10510,10351,10175,9968,9742,9497,9237,8968,8682,8388,8089,7781,7463,
7131,6793,6453,6108,5760,5413,5068,4728,4384,4039,3702,3372,3046,2723,2407,2093,1785,1471,1161,855,
552,250,-51,-351,-648,-947,-1242,-1535,-1821,-2095,-2370,-2642,-2903,-3163,-3421,-3678,-3928,-4177,-4420,-4665,
-4911,-5161,-5409,-5656,-5899,-6141,-6374,-6603,-6832,-7059,-7279,-7488,-7683,-7872,-8050,-8209,-8360,-8503,-8636,-8754,
-8853,-8938,-9008,-9058,-9089,-9099,-9095,-9058,-8992,-8882,-8737,-8554,-8330,-8055,-7736,-7369,-6956,-6496,-5995,-5469,
-4924,-4368,-3804,-3244,-2693,-2160,-1649,-1165,-717,-322,36,349,612,830,1001,1123,1200,1232,1217,1167,
1087,976,849,700,539,372,198,24,-145,-300,-445,-569,-672,-758,-813,-840,-835,-790,-704,-576,
-403,-181,93,413,786,1210,1684,2204,2761,3348,3966,4603,5252,5905,6558,7196,7805,8376,8899,9371,
9784,10135,10420,10638,10789,10880,10904,10878,10807,10698,10552,10372,10165,9937,9684,9410,9127,8836,8542,8229,
7912,7590,7266,6938,6607,6275,5946,5616,5275,4938,4601,4259,3915,3571,3232,2894,2557,2217,1881,1551,
1225,908,593,289,-9,-311,-603,-893,-1176,-1459,-1739,-2016,-2291,-2565,-2839,-3112,-3384,-3653,-3921,-4189,
-4456,-4721,-4980,-5239,-5494,-5742,-5979,-6216,-6447,-6681,-6901,-7124,-7341,-7553,-7752,-7946,-8133,-8319,-8495,-8661,
-8812,-8949,-9073,-9174,-9257,-9327,-9378,-9400,-9398,-9366,-9304,-9207,-9078,-8907,-8700,-8452,-8154,-7800,-7396,-6946,
-6451,-5917,-5357,-4772,-4173,-3565,-2955,-2364,-1797,-1261,-767,-312,88,443,743,996,1193,1342,1436,1488,
1498,1473,1411,1325,1210,1076,919,746,561,365,171,-27,-224,-408,-583,-740,-875,-982,-1056,-1100,
-1101,-1055,-967,-831,-648,-411,-116,224,613,1052,1531,2052,2609,3200,3825,4471,5130,5790,6449,7091,
7711,8296,8834,9323,9751,10102,10383,10594,10739,10816,10837,10812,10735,10624,10475,10292,10088,9870,9631,9375,
9103,8819,8522,8208,7884,7555,7221,6880,6529,6179,5828,5474,5116,4769,4419,4079,3740,3399,3063,2735,
2404,2077,1752,1433,1113,790,470,152,-163,-477,-786,-1093,-1390,-1685,-1981,-2264,-2546,-2814,-3083,-3347,
-3607,-3862,-4122,-4376,-4636,-4891,-5144,-5400,-5649,-5902,-6148,-6397,-6641,-6878,-7105,-7326,-7538,-7742,-7938,-8121,
-8296,-8461,-8611,-8746,-8873,-8987,-9093,-9183,-9252,-9310,-9349,-9361,-9343,-9306,-9245,-9150,-9013,-8836,-8613,-8344,
-8028,-7657,-7249,-6799,-6310,-5783,-5230,-4660,-4079,-3494,-2924,-2366,-1836,-1331,-859,-424,-34,311,601,845,
1034,1173,1269,1318,1324,1295,1229,1133,1017,887,739,586,430,269,114,-37,-179,-302,-409,-496,
-554,-586,-591,-565,-498,-390,-237,-34,218,519,874,1270,1713,2200,2727,3289,3879,4492,5116,5746,
6371,6986,7582,8152,8683,9163,9587,9955,10256,10491,10666,10777,10836,10834,10781,10685,10551,10383,10186,9968,
9731,9477,9206,8918,8624,8324,8020,7707,7391,7071,6747,6413,6075,5736,5399,5057,4712,4365,4018,3668,
3315,2966,2623,2284,1945,1616,1287,968,649,333,29,-272,-568,-862,-1157,-1449,-1737,-2026,-2314,-2597,
-2878,-3157,-3435,-3715,-3991,-4262,-4531,-4793,-5053,-5307,-5555,-5805,-6046,-6286,-6515,-6745,-6968,-7189,-7400,-7613,
-7820,-8021,-8214,-8391,-8560,-8718,-8862,-8991,-9107,-9208,-9286,-9335,-9365,-9379,-9363,-9323,-9250,-9148,-9011,-8832,
-8607,-8338,-8027,-7666,-7255,-6797,-6297,-5756,-5181,-4582,-3976,-3368,-2772,-2188,-1628,-1098,-604,-159,243,590,
884,1125,1318,1464,1566,1623,1640,1619,1559,1472,1357,1219,1065,896,712,522,329,134,-57,-242,
-410,-558,-681,-781,-847,-881,-873,-822,-726,-582,-394,-154,132,467,855,1286,1763,2285,2844,3430,
4043,4679,5329,5987,6636,7275,7886,8459,8985,9449,9855,10196,10472,10673,10807,10880,10896,10858,10779,10662,
10513,10340,10136,9907,9662,9399,9120,8826,8523,8209,7886,7544,7201,6855,6505,6150,5797,5444,5098,4743,
4392,4045,3704,3363,3023,2687,2353,2018,1680,1348,1014,685,359,33,-291,-606,-921,-1233,-1538,-1838,
-2129,-2414,-2696,-2974,-3247,-3519,-3786,-4055,-4319,-4582,-4849,-5118,-5382,-5649,-5910,-6168,-6428,-6676,-6922,-7159,
-7399,-7625,-7838,-8044,-8241,-8426,-8604,-8768,-8928,-9078,-9208,-9329,-9432,-9526,-9601,-9656,-9696,-9714,-9701,-9667,
-9588,-9481,-9338,-9151,-8920,-8645,-8320,-7946,-7520,-7045,-6533,-5990,-5419,-4830,-4226,-3622,-3024,-2437,-1874,-1340,
-848,-398,8,367,670,925,1123,1273,1369,1416,1421,1392,1329,1240,1125,995,850,694,530,370,
208,55,-96,-231,-353,-457,-545,-603,-631,-628,-586,-505,-377,-203,19,292,617,993,1415,1875,
2377,2914,3481,4071,4681,5303,5928,6544,7146,7719,8261,8766,9221,9622,9963,10237,10446,10587,10671,10697,
10679,10611,10499,10358,10181,9979,9755,9516,9267,9004,8730,8441,8150,7849,7541,7225,6907,6588,6259,5924,
5583,5239,4893,4548,4198,3851,3505,3162,2816,2479,2146,1818,1495,1178,864,555,248,-58,-359,-661,
-958,-1252,-1550,-1842,-2134,-2424,-2711,-2997,-3276,-3550,-3825,-4095,-4363,-4626,-4887,-5141,-5395,-5638,-5882,-6120,
-6362,-6596,-6824,-7052,-7277,-7491,-7695,-7899,-8095,-8283,-8454,-8613,-8758,-8887,-8997,-9089,-9167,-9229,-9269,-9282,
-9268,-9236,-9173,-9079,-8953,-8793,-8595,-8350,-8051,-7709,-7315,-6876,-6391,-5870,-5318,-4743,-4149,-3548,-2951,-2368,
-1813,-1287,-797,-347,59,419,734,997,1210,1371,1487,1563,1594,1585,1547,1471,1370,1241,1092,927,
754,569,384,200,23,-146,-304,-443,-553,-633,-687,-699,-680,-619,-520,-375,-183,62,351,690,
1072,1499,1967,2477,3019,3602,4204,4829,5459,6095,6724,7332,7914,8465,8964,9409,9791,10105,10355,10541,
10667,10734,10749,10718,10646,10530,10382,10209,10014,9798,9561,9304,9034,8744,8442,8129,7810,7484,7151,6814,
6472,6130,5788,5438,5097,4754,4418,4076,3737,3397,3060,2719,2381,2045,1712,1378,1043,712,382,61,
-261,-577,-887,-1192,-1491,-1791,-2084,-2367,-2649,-2927,-3198,-3472,-3742,-4016,-4292,-4565,-4839,-5109,-5378,-5647,
-5915,-6176,-6437,-6691,-6939,-7178,-7409,-7632,-7853,-8058,-8259,-8452,-8639,-8808,-8969,-9115,-9262,-9386,-9504,-9600,
-9681,-9744,-9780,-9791,-9778,-9744,-9669,-9559,-9409,-9220,-8982,-8698,-8362,-7982,-7555,-7080,-6559,-6002,-5417,-4812,
-4198,-3579,-2969,-2379,-1808,-1267,-766,-307,100,455,758,1003,1191,1332,1422,1468,1471,1431,1363,1267,
1148,1010,862,703,537,369,202,37,-118,-265,-402,-521,-617,-692,-742,-753,-728,-661,-554,-393,
-184,74,378,733,1132,1583,2067,2589,3145,3723,4318,4930,5543,6159,6766,7354,7910,8429,8903,9320,
9682,9982,10220,10392,10504,10555,10554,10509,10421,10296,10143,9965,9767,9547,9311,9060,8803,8532,8253,7962,
7667,7362,7048,6721,6399,6067,5732,5391,5048,4705,4361,4015,3673,3338,3003,2673,2345,2020,1700,1383,
1070,759,451,147,-159,-463,-767,-1072,-1372,-1672,-1969,-2257,-2547,-2833,-3116,-3396,-3670,-3939,-4206,-4472,
-4732,-4991,-5248,-5505,-5755,-6001,-6248,-6491,-6734,-6973,-7206,-7438,-7659,-7868,-8068,-8258,-8441,-8608,-8761,-8900,
-9025,-9131,-9214,-9281,-9330,-9365,-9378,-9359,-9320,-9245,-9142,-8998,-8814,-8594,-8325,-8006,-7633,-7215,-6747,-6239,
-5690,-5120,-4535,-3940,-3343,-2757,-2186,-1645,-1133,-665,-238,145,480,770,1010,1206,1346,1443,1496,1507,
1485,1420,1335,1220,1085,932,767,594,418,245,79,-73,-214,-337,-441,-520,-564,-580,-561,-499,
-402,-258,-79,149,422,746,1111,1520,1976,2466,2991,3545,4127,4728,5340,5956,6564,7155,7718,8243,
8721,9155,9529,9849,10099,10291,10423,10498,10523,10500,10440,10344,10215,10051,9865,9654,9428,9182,8921,8648,
8362,8066,7758,7442,7123,6804,6476,6150,5823,5495,5163,4829,4495,4165,3834,3498,3165,2830,2494,2156,
1822,1489,1163,834,511,191,-123,-433,-744,-1047,-1343,-1634,-1923,-2210,-2492,-2772,-3053,-3331,-3608,-3886,
-4162,-4441,-4722,-4998,-5276,-5548,-5818,-6080,-6340,-6591,-6840,-7086,-7320,-7546,-7764,-7975,-8179,-8372,-8560,-8738,
-8913,-9069,-9212,-9336,-9456,-9552,-9632,-9687,-9726,-9736,-9716,-9660,-9577,-9454,-9293,-9089,-8838,-8540,-8188,-7783,
-7331,-6829,-6294,-5722,-5119,-4497,-3865,-3230,-2607,-1999,-1420,-880,-380,73,475,825,1118,1354,1539,1665,
1746,1776,1770,1728,1650,1548,1426,1284,1125,958,780,602,426,249,79,-79,-226,-359,-463,-547,
-604,-629,-622,-570,-475,-331,-138,105,399,742,1131,1562,2035,2542,3081,3651,4242,4847,5460,6076,
6677,7267,7833,8361,8847,9281,9654,9968,10214,10399,10521,10591,10605,10570,10492,10377,10236,10066,9873,9663,
9437,9196,8940,8673,8395,8106,7806,7501,7187,6868,6537,6201,5864,5521,5180,4833,4493,4151,3812,3471,
3136,2804,2477,2152,1828,1509,1194,878,560,244,-67,-379,-693,-1002,-1309,-1618,-1919,-2218,-2512,-2800,
-3084,-3365,-3644,-3918,-4193,-4462,-4731,-4995,-5259,-5522,-5785,-6045,-6305,-6557,-6811,-7057,-7301,-7533,-7761,-7980,
-8193,-8387,-8572,-8743,-8902,-9043,-9170,-9285,-9382,-9464,-9525,-9563,-9585,-9579,-9548,-9491,-9403,-9279,-9111,-8895,
-8637,-8326,-7966,-7552,-7093,-6588,-6048,-5474,-4876,-4271,-3662,-3061,-2477,-1916,-1384,-887,-433,-17,346,661,
922,1132,1298,1412,1481,1507,1494,1442,1360,1244,1114,965,805,635,464,298,135,-19,-156,-275,
-374,-454,-508,-531,-526,-486,-408,-288,-125,81,333,627,968,1350,1777,2241,2747,3284,3842,4420,
5009,5602,6192,6769,7323,7846,8328,8762,9140,9465,9733,9942,10096,10191,10236,10233,10184,10100,9981,9839,
9666,9470,9252,9016,8767,8497,8220,7937,7646,7346,7041,6729,6414,6097,5778,5457,5137,4812,4483,4149,
3818,3486,3153,2814,2485,2150,1820,1489,1160,838,516,202,-109,-413,-713,-1012,-1309,-1599,-1889,-2173,
-2455,-2739,-3016,-3298,-3577,-3858,-4138,-4414,-4689,-4966,-5238,-5508,-5771,-6031,-6286,-6536,-6777,-7011,-7242,-7472,
-7688,-7902,-8103,-8300,-8486,-8662,-8829,-8988,-9134,-9263,-9376,-9471,-9547,-9599,-9626,-9631,-9610,-9558,-9468,-9343,
-9181,-8974,-8724,-8423,-8075,-7680,-7229,-6731,-6190,-5613,-5008,-4383,-3751,-3116,-2491,-1880,-1301,-754,-249,206,
610,958,1255,1498,1680,1820,1906,1948,1945,1909,1841,1748,1630,1493,1344,1179,1007,827,649,475,
307,147,6,-119,-222,-304,-352,-368,-350,-293,-193,-44,146,389,676,1016,1398,1820,2284,2782,
3311,3867,4443,5037,5639,6240,6835,7411,7956,8467,8935,9351,9710,10010,10247,10421,10532,10588,10597,10555,
10480,10369,10226,10062,9870,9659,9435,9193,8942,8675,8396,8109,7807,7501,7177,6858,6529,6199,5858,5517,
5178,4836,4492,4153,3817,3486,3152,2822,2496,2171,1847,1519,1199,882,561,242,-75,-394,-705,-1024,
-1333,-1637,-1940,-2237,-2530,-2822,-3107,-3391,-3669,-3946,-4219,-4494,-4766,-5041,-5310,-5584,-5852,-6121,-6385,-6651,
-6908,-7165,-7414,-7655,-7888,-8108,-8320,-8524,-8714,-8890,-9054,-9207,-9342,-9461,-9565,-9657,-9730,-9783,-9813,-9821,
-9804,-9755,-9671,-9553,-9396,-9194,-8941,-8638,-8283,-7872,-7412,-6900,-6355,-5777,-5174,-4557,-3928,-3308,-2695,-2107,
-1549,-1022,-541,-104,289,630,919,1154,1337,1472,1555,1593,1589,1546,1472,1371,1243,1101,946,782,
618,453,295,147,10,-113,-216,-294,-353,-384,-383,-349,-285,-185,-42,143,369,643,960,1324,
1731,2175,2657,3172,3712,4274,4846,5425,6004,6566,7110,7624,8107,8548,8940,9275,9553,9775,9941,10051,
10107,10123,10091,10019,9913,9774,9609,9422,9213,8988,8748,8495,8230,7952,7668,7379,7083,6786,6480,6170,
5859,5544,5218,4894,4570,4242,3912,3579,3245,2914,2578,2247,1918,1592,1267,948,632,321,10,-294,
-595,-892,-1186,-1483,-1773,-2066,-2354,-2641,-2927,-3212,-3496,-3781,-4063,-4348,-4629,-4907,-5178,-5449,-5708,-5972,
-6230,-6482,-6732,-6976,-7211,-7442,-7669,-7892,-8101,-8310,-8507,-8698,-8879,-9039,-9192,-9330,-9450,-9550,-9633,-9697,
-9734,-9744,-9724,-9681,-9605,-9496,-9347,-9158,-8926,-8640,-8305,-7918,-7487,-7003,-6473,-5906,-5304,-4677,-4040,-3399,
-2766,-2151,-1558,-1002,-487,-10,412,784,1098,1358,1566,1722,1829,1894,1917,1904,1855,1776,1674,1553,
1408,1252,1089,919,749,580,416,265,130,13,-85,-152,-191,-198,-170,-100,10,162,360,607,
893,1221,1593,2008,2460,2950,3470,4016,4586,5166,5752,6340,6921,7481,8019,8513,8973,9372,9718,10001,
10227,10396,10506,10562,10569,10533,10456,10349,10212,10046,9866,9666,9444,9206,8954,8692,8415,8128,7831,7529,
7214,6893,6564,6235,5903,5569,5233,4902,4567,4235,3900,3567,3239,2910,2582,2256,1930,1608,1277,952,
627,306,-16,-337,-657,-967,-1282,-1593,-1894,-2193,-2486,-2774,-3061,-3346,-3630,-3912,-4192,-4474,-4757,-5036,
-5315,-5594,-5875,-6152,-6426,-6696,-6963,-7223,-7472,-7719,-7956,-8186,-8403,-8606,-8799,-8983,-9152,-9309,-9452,-9583,
-9699,-9797,-9875,-9937,-9975,-9987,-9972,-9933,-9855,-9738,-9578,-9373,-9117,-8812,-8451,-8033,-7570,-7055,-6496,-5903,
-5283,-4650,-4010,-3371,-2745,-2139,-1560,-1014,-512,-54,351,706,1005,1250,1442,1579,1668,1708,1707,1661,
1588,1486,1364,1224,1070,912,747,583,423,268,127,4,-104,-192,-257,-298,-311,-295,-239,-147,
-14,157,372,635,939,1292,1686,2122,2595,3097,3626,4178,4743,5317,5891,6456,7005,7526,8013,8457,
8864,9214,9509,9751,9934,10064,10139,10162,10140,10079,9986,9856,9700,9521,9320,9103,8866,8621,8363,8098,
7823,7539,7249,6954,6652,6345,6034,5720,5402,5077,4747,4420,4086,3755,3420,3087,2757,2428,2099,1774,
1453,1134,822,510,203,-101,-407,-710,-1010,-1306,-1601,-1897,-2196,-2484,-2778,-3068,-3359,-3647,-3933,-4219,
-4498,-4778,-5053,-5328,-5595,-5863,-6126,-6382,-6634,-6887,-7135,-7379,-7614,-7846,-8071,-8291,-8499,-8698,-8889,-9068,
-9229,-9376,-9506,-9614,-9708,-9775,-9825,-9855,-9855,-9827,-9769,-9677,-9545,-9379,-9168,-8913,-8604,-8241,-7825,-7356,
-6843,-6285,-5691,-5073,-4439,-3798,-3159,-2532,-1929,-1359,-826,-336,105,495,832,1117,1351,1534,1667,1751,
1795,1797,1770,1704,1611,1497,1368,1218,1060,896,730,565,408,262,131,17,-74,-138,-172,-170,
-135,-63,46,202,390,627,905,1224,1587,1987,2426,2901,3405,3933,4487,5052,5629,6201,6762,7309,
7826,8306,8750,9140,9479,9762,9979,10141,10250,10306,10318,10287,10221,10121,9990,9834,9653,9458,9248,9017,
8771,8513,8241,7957,7665,7364,7058,6747,6429,6111,5787,5459,5136,4811,4487,4163,3841,3514,3191,2866,
2544,2218,1894,1576,1254,934,611,289,-29,-343,-652,-962,-1266,-1562,-1862,-2155,-2443,-2730,-3012,-3292,
-3574,-3854,-4134,-4416,-4699,-4981,-5262,-5542,-5820,-6100,-6372,-6642,-6908,-7168,-7418,-7657,-7891,-8117,-8335,-8542,
-8740,-8924,-9101,-9264,-9409,-9544,-9665,-9770,-9857,-9921,-9962,-9982,-9965,-9923,-9846,-9733,-9575,-9369,-9112,-8804,
-8439,-8023,-7552,-7033,-6477,-5880,-5256,-4617,-3965,-3316,-2680,-2062,-1475,-923,-406,58,473,837,1145,1393,
1585,1728,1816,1860,1860,1826,1755,1658,1535,1401,1254,1093,933,770,615,463,317,189,78,-18,
-88,-135,-152,-139,-92,-9,120,288,502,761,1062,1409,1797,2220,2686,3185,3707,4252,4810,5377,
5939,6497,7039,7558,8047,8500,8906,9258,9557,9796,9989,10120,10202,10231,10216,10157,10065,9938,9791,9615,
9423,9211,8988,8749,8497,8236,7967,7693,7409,7117,6824,6521,6211,5898,5576,5257,4936,4606,4276,3948,
3618,3290,2961,2637,2318,2000,1679,1367,1058,750,440,137,-167,-467,-769,-1069,-1375,-1668,-1969,-2264,
-2558,-2850,-3139,-3430,-3717,-4004,-4283,-4562,-4840,-5113,-5386,-5654,-5919,-6186,-6451,-6707,-6963,-7213,-7461,-7703,
-7939,-8169,-8392,-8598,-8793,-8978,-9148,-9306,-9443,-9565,-9670,-9755,-9814,-9846,-9868,-9857,-9817,-9744,-9638,-9495,
-9305,-9065,-8778,-8437,-8039,-7593,-7090,-6545,-5959,-5344,-4706,-4064,-3415,-2783,-2171,-1585,-1036,-527,-66,346,
706,1015,1270,1472,1624,1729,1790,1809,1788,1732,1647,1541,1410,1263,1108,942,776,609,451,301,
168,56,-34,-99,-141,-145,-118,-53,43,182,365,583,844,1148,1490,1875,2296,2752,3239,3754,
4285,4834,5394,5954,6506,7039,7548,8024,8457,8844,9177,9458,9681,9852,9967,10032,10048,10025,9965,9871,
9749,9599,9429,9237,9028,8797,8559,8301,8038,7760,7473,7183,6880,6575,6267,5957,5644,5328,5013,4697,
4376,4059,3741,3424,3107,2784,2464,2142,1823,1500,1182,863,549,236,-81,-386,-691,-994,-1294,-1586,
-1878,-2161,-2448,-2727,-3008,-3287,-3568,-3848,-4132,-4408,-4688,-4972,-5255,-5536,-5815,-6086,-6359,-6625,-6885,-7141,
-7388,-7633,-7866,-8088,-8304,-8514,-8712,-8900,-9079,-9247,-9404,-9542,-9664,-9774,-9863,-9934,-9980,-9998,-9989,-9949,
-9874,-9759,-9602,-9402,-9150,-8846,-8488,-8076,-7611,-7094,-6533,-5941,-5318,-4676,-4025,-3372,-2727,-2101,-1503,-939,
-418,58,478,847,1164,1420,1622,1769,1867,1916,1923,1894,1833,1742,1632,1500,1358,1203,1048,885,
727,580,435,306,188,87,17,-35,-54,-42,6,95,218,387,598,855,1153,1502,1890,2314,
2773,3262,3780,4319,4872,5433,5994,6549,7088,7601,8086,8534,8938,9293,9592,9836,10022,10152,10228,10257,
10240,10187,10094,9969,9816,9645,9451,9242,9018,8783,8537,8277,8010,7729,7451,7159,6861,6555,6249,5934,
5614,5291,4964,4638,4314,3984,3659,3336,3013,2691,2370,2057,1744,1433,1126,819,513,209,-100,-404,
-703,-1009,-1308,-1609,-1905,-2201,-2494,-2785,-3073,-3357,-3640,-3923,-4205,-4481,-4760,-5035,-5308,-5579,-5847,-6115,
-6383,-6647,-6910,-7169,-7420,-7668,-7908,-8139,-8361,-8576,-8779,-8969,-9141,-9300,-9446,-9570,-9680,-9772,-9844,-9896,
-9920,-9917,-9892,-9832,-9739,-9604,-9432,-9210,-8931,-8597,-8207,-7765,-7267,-6725,-6135,-5519,-4878,-4228,-3571,-2926,
-2300,-1702,-1134,-611,-133,301,680,1006,1281,1499,1665,1783,1853,1880,1869,1819,1741,1634,1506,1359,
1200,1038,870,705,549,402,273,157,63,-3,-42,-53,-30,24,118,247,415,626,880,1171,
1500,1875,2285,2733,3206,3709,4243,4784,5333,5885,6428,6957,7458,7930,8364,8750,9088,9370,9596,9769,
9888,9959,9984,9964,9907,9815,9695,9545,9373,9183,8971,8746,8503,8249,7983,7706,7424,7132,6839,6538,
6233,5925,5617,5306,4993,4679,4364,4052,3733,3415,3097,2775,2459,2135,1816,1496,1181,865,552,241,
-61,-368,-669,-962,-1256,-1548,-1836,-2121,-2402,-2682,-2961,-3245,-3522,-3806,-4086,-4370,-4653,-4935,-5216,-5493,
-5768,-6040,-6310,-6573,-6834,-7086,-7333,-7573,-7807,-8036,-8258,-8470,-8673,-8871,-9055,-9230,-9390,-9539,-9674,-9790,
-9887,-9963,-10017,-10044,-10042,-10010,-9951,-9848,-9707,-9520,-9285,-9002,-8662,-8270,-7826,-7330,-6786,-6204,-5587,-4950,
-4298,-3639,-2990,-2355,-1745,-1166,-630,-138,305,694,1029,1307,1529,1697,1819,1890,1919,1911,1866,1794,
1699,1583,1453,1312,1165,1014,865,715,576,448,339,245,174,129,113,130,185,273,406,578,
794,1055,1359,1702,2085,2506,2962,3447,3950,4480,5021,5571,6119,6661,7187,7691,8162,8596,8982,9322,
9607,9833,10009,10126,10192,10210,10185,10120,10020,9896,9742,9568,9375,9165,8939,8702,8451,8196,7928,7650,
7364,7072,6772,6466,6154,5838,5522,5200,4876,4550,4228,3905,3582,3258,2942,2625,2313,1995,1689,1379,
1072,763,459,151,-151,-460,-765,-1070,-1371,-1672,-1966,-2258,-2547,-2836,-3121,-3407,-3686,-3966,-4241,-4520,
-4794,-5070,-5346,-5619,-5891,-6163,-6433,-6698,-6964,-7227,-7482,-7734,-7976,-8209,-8435,-8648,-8848,-9039,-9216,-9377,
-9525,-9657,-9772,-9866,-9943,-10001,-10035,-10043,-10022,-9971,-9889,-9759,-9588,-9368,-9099,-8773,-8386,-7942,-7447,-6901,
-6312,-5690,-5044,-4388,-3726,-3071,-2434,-1821,-1237,-697,-202,246,645,987,1275,1511,1692,1824,1904,1938,
1929,1891,1815,1710,1585,1442,1290,1126,963,804,648,504,373,263,168,97,53,39,56,108,
195,319,483,684,929,1217,1549,1917,2328,2773,3252,3753,4281,4822,5373,5923,6471,6999,7505,7981,
8416,8807,9152,9442,9680,9859,9988,10061,10092,10077,10022,9934,9815,9670,9497,9303,9091,8864,8626,8370,
8106,7836,7554,7267,6971,6675,6376,6075,5767,5461,5150,4838,4516,4200,3883,3565,3245,2924,2604,2284,
1963,1645,1330,1019,711,401,99,-201,-501,-795,-1086,-1375,-1661,-1946,-2228,-2513,-2795,-3075,-3362,-3642,
-3926,-4211,-4493,-4778,-5055,-5335,-5607,-5881,-6148,-6414,-6673,-6930,-7179,-7425,-7665,-7897,-8126,-8348,-8560,-8762,
-8960,-9144,-9317,-9471,-9611,-9737,-9845,-9929,-9992,-10033,-10047,-10028,-9977,-9892,-9775,-9609,-9400,-9137,-8826,-8464,
-8041,-7569,-7049,-6483,-5883,-5250,-4605,-3949,-3294,-2649,-2033,-1438,-887,-376,83,495,847,1149,1395,1588,
1729,1822,1872,1884,1858,1805,1725,1624,1502,1370,1229,1081,933,790,654,525,414,325,254,212,
198,216,269,360,494,668,882,1137,1435,1778,2155,2567,3014,3487,3986,4507,5038,5580,6121,6654,
7176,7667,8133,8562,8947,9279,9556,9783,9953,10064,10132,10150,10126,10061,9963,9836,9684,9513,9322,9115,
8890,8653,8410,8151,7879,7605,7318,7024,6721,6420,6108,5792,5473,5156,4835,4516,4193,3875,3557,3243,
2922,2610,2298,1992,1680,1368,1063,756,448,140,-167,-469,-773,-1076,-1375,-1670,-1962,-2253,-2540,-2824,
-3102,-3382,-3661,-3937,-4214,-4492,-4766,-5044,-5318,-5593,-5871,-6145,-6418,-6688,-6955,-7214,-7472,-7725,-7967,-8199,
-8424,-8641,-8839,-9030,-9210,-9377,-9529,-9662,-9784,-9888,-9975,-10037,-10078,-10094,-10086,-10042,-9964,-9844,-9681,-9467,
-9197,-8874,-8492,-8055,-7561,-7020,-6436,-5815,-5170,-4508,-3847,-3190,-2549,-1930,-1343,-792,-286,171,578,930,
1228,1471,1660,1794,1880,1923,1919,1880,1806,1707,1583,1449,1297,1141,980,823,675,533,403,292,
200,133,88,72,88,134,218,338,502,701,949,1234,1562,1933,2342,2789,3270,3776,4309,4850,
5402,5956,6502,7038,7548,8030,8473,8871,9220,9516,9762,9948,10082,10167,10200,10188,10137,10047,9925,9780,
9608,9416,9203,8977,8733,8478,8216,7944,7665,7381,7091,6796,6493,6191,5886,5576,5264,4952,4635,4315,
3995,3671,3352,3030,2707,2388,2073,1756,1440,1128,819,517,216,-82,-380,-674,-968,-1261,-1554,-1841,
-2127,-2410,-2700,-2983,-3270,-3559,-3844,-4132,-4415,-4696,-4974,-5254,-5532,-5804,-6074,-6340,-6601,-6862,-7115,-7369,
-7614,-7857,-8093,-8322,-8543,-8757,-8957,-9151,-9329,-9499,-9645,-9776,-9892,-9985,-10056,-10102,-10126,-10120,-10083,-10013,
-9901,-9751,-9558,-9313,-9020,-8670,-8265,-7803,-7286,-6725,-6127,-5498,-4849,-4188,-3529,-2881,-2248,-1646,-1083,-558,
-86,339,705,1018,1280,1491,1642,1754,1814,1836,1821,1777,1700,1605,1487,1355,1215,1067,916,772,
633,504,389,295,224,179,161,177,229,324,451,617,831,1081,1373,1705,2076,2487,2925,3396,
3891,4407,4939,5479,6022,6557,7081,7581,8050,8484,8868,9208,9494,9727,9902,10020,10092,10114,10092,10035,
9942,9819,9673,9501,9310,9106,8883,8647,8397,8137,7868,7586,7301,7005,6703,6399,6087,5774,5463,5143,
4825,4510,4193,3876,3559,3245,2936,2624,2311,2000,1691,1380,1070,761,453,146,-160,-462,-770,-1066,
-1366,-1658,-1948,-2234,-2516,-2797,-3074,-3353,-3630,-3904,-4182,-4458,-4737,-5016,-5292,-5571,-5848,-6125,-6395,-6666,
-6934,-7195,-7451,-7700,-7946,-8175,-8400,-8612,-8818,-9014,-9192,-9362,-9519,-9661,-9790,-9900,-9991,-10065,-10115,-10140,
-10139,-10103,-10032,-9921,-9764,-9563,-9307,-8995,-8624,-8198,-7719,-7190,-6613,-6003,-5369,-4713,-4054,-3395,-2748,-2124,
-1527,-971,-449,20,438,810,1120,1379,1577,1728,1826,1880,1887,1860,1800,1712,1601,1473,1328,1183,
1029,881,736,599,475,370,279,211,168,153,168,218,302,423,588,793,1040,1331,1669,2044,
2458,2909,3390,3900,4433,4979,5534,6089,6637,7171,7682,8161,8603,9003,9354,9650,9889,10077,10206,10284,
10313,10297,10242,10145,10022,9866,9691,9486,9274,9044,8800,8544,8278,8007,7726,7438,7146,6852,6549,6245,
5935,5622,5307,4987,4664,4344,4021,3698,3371,3049,2728,2407,2090,1777,1465,1159,852,549,247,-49,
-347,-644,-938,-1228,-1521,-1811,-2102,-2387,-2675,-2963,-3247,-3531,-3816,-4100,-4383,-4660,-4940,-5215,-5486,-5758,
-6027,-6292,-6559,-6818,-7075,-7332,-7580,-7829,-8067,-8302,-8525,-8744,-8953,-9148,-9325,-9496,-9646,-9786,-9903,-10003,
-10078,-10135,-10163,-10163,-10135,-10076,-9984,-9851,-9668,-9440,-9160,-8823,-8428,-7980,-7479,-6925,-6334,-5709,-5059,-4394,
-3729,-3074,-2436,-1827,-1251,-720,-230,206,590,920,1194,1417,1588,1709,1784,1818,1813,1771,1703,1606,
1491,1361,1222,1076,925,777,635,505,392,298,223,179,162,177,228,314,441,609,813,1062,
1350,1680,2046,2451,2890,3360,3856,4375,4910,5456,6000,6539,7067,7576,8055,8492,8890,9236,9529,9767,
9949,10078,10154,10181,10165,10110,10020,9899,9751,9582,9391,9180,8961,8720,8467,8200,7929,7645,7357,7056,
6758,6450,6139,5824,5511,5196,4883,4565,4249,3935,3624,3308,2992,2680,2368,2056,1744,1433,1123,813,
505,197,-105,-408,-707,-1004,-1297,-1585,-1875,-2154,-2434,-2711,-2988,-3265,-3541,-3816,-4094,-4373,-4649,-4927,
-5204,-5482,-5759,-6035,-6310,-6575,-6842,-7097,-7352,-7600,-7839,-8072,-8296,-8514,-8723,-8918,-9105,-9280,-9443,-9594,
-9731,-9851,-9955,-10033,-10095,-10132,-10142,-10119,-10063,-9969,-9833,-9647,-9414,-9127,-8784,-8385,-7931,-7429,-6876,-6286,
-5664,-5022,-4368,-3714,-3067,-2435,-1831,-1255,-720,-231,212,598,932,1211,1430,1607,1727,1800,1832,1821,
1778,1709,1613,1502,1374,1238,1099,961,824,694,576,472,386,322,280,268,284,335,420,549,
715,922,1174,1469,1804,2182,2597,3048,3530,4037,4567,5109,5660,6211,6753,7283,7788,8267,8704,9096,
9445,9734,9967,10146,10271,10345,10365,10343,10280,10179,10047,9892,9711,9509,9293,9057,8812,8556,8289,8014,
7736,7447,7152,6853,6553,6242,5930,5614,5296,4974,4655,4327,4005,3681,3358,3034,2714,2399,2085,1771,
1462,1155,853,551,248,-47,-345,-642,-941,-1232,-1525,-1815,-2105,-2396,-2683,-2966,-3253,-3533,-3816,-4093,
-4375,-4651,-4927,-5202,-5476,-5746,-6013,-6281,-6545,-6810,-7068,-7325,-7580,-7829,-8071,-8307,-8537,-8749,-8960,-9153,
-9340,-9505,-9657,-9795,-9911,-10016,-10092,-10149,-10188,-10194,-10175,-10120,-10031,-9904,-9730,-9507,-9231,-8900,-8510,-8061,
-7557,-7007,-6413,-5784,-5130,-4470,-3800,-3139,-2497,-1882,-1303,-763,-267,175,572,908,1195,1426,1601,1730,
1809,1847,1843,1805,1738,1640,1524,1391,1246,1095,942,790,648,512,393,297,224,169,151,161,
209,290,409,569,770,1013,1294,1622,1986,2392,2829,3301,3797,4322,4863,5416,5974,6525,7062,7581,
8069,8523,8928,9290,9597,9849,10042,10178,10262,10299,10287,10238,10150,10031,9886,9711,9517,9305,9077,8833,
8580,8310,8032,7745,7452,7153,6845,6537,6228,5915,5602,5282,4968,4651,4336,4017,3703,3385,3070,2750,
2436,2120,1807,1492,1182,873,565,258,-49,-350,-648,-940,-1232,-1520,-1805,-2086,-2367,-2646,-2919,-3198,
-3473,-3749,-4028,-4307,-4585,-4865,-5143,-5418,-5695,-5967,-6240,-6503,-6767,-7025,-7277,-7524,-7764,-7995,-8224,-8439,
-8653,-8853,-9047,-9227,-9399,-9554,-9697,-9823,-9935,-10024,-10091,-10135,-10154,-10140,-10093,-10009,-9889,-9724,-9506,-9239,
-8916,-8538,-8105,-7620,-7089,-6513,-5906,-5271,-4620,-3966,-3312,-2674,-2057,-1471,-925,-420,39,445,797,1092,
1339,1526,1664,1757,1806,1811,1784,1728,1644,1543,1425,1298,1165,1028,894,765,647,542,448,381,
341,321,336,383,467,590,752,960,1209,1501,1834,2210,2622,3071,3547,4054,4582,5120,5668,6222,
6767,7296,7804,8280,8724,9123,9469,9767,10004,10186,10309,10384,10405,10380,10317,10214,10083,9919,9733,9535,
9311,9077,8831,8574,8303,8026,7742,7451,7153,6852,6542,6228,5912,5591,5266,4943,4616,4293,3966,3641,
3318,2994,2678,2355,2044,1732,1423,1116,811,507,206,-97,-398,-695,-991,-1289,-1583,-1876,-2164,-2453,
-2738,-3022,-3302,-3582,-3860,-4139,-4412,-4686,-4960,-5232,-5502,-5772,-6043,-6307,-6575,-6839,-7102,-7357,-7612,-7860,
-8102,-8337,-8562,-8777,-8985,-9181,-9361,-9528,-9684,-9820,-9940,-10043,-10128,-10186,-10224,-10238,-10226,-10180,-10098,-9977,
-9812,-9596,-9329,-9001,-8622,-8182,-7688,-7142,-6554,-5937,-5291,-4630,-3969,-3313,-2672,-2056,-1471,-927,-425,27,
429,777,1069,1311,1498,1635,1725,1767,1773,1740,1678,1584,1472,1343,1203,1052,902,753,614,482,
369,271,197,151,130,140,186,268,386,545,744,986,1270,1594,1962,2371,2813,3293,3797,4326,
4878,5439,6002,6563,7111,7641,8139,8600,9019,9387,9699,9959,10159,10304,10392,10431,10422,10371,10282,10165,
10012,9836,9640,9420,9187,8938,8679,8407,8124,7833,7537,7233,6928,6619,6305,5993,5676,5357,5039,4720,
4400,4081,3760,3437,3119,2798,2479,2159,1843,1529,1213,901,594,289,-12,-312,-607,-901,-1191,-1477,
-1763,-2044,-2322,-2601,-2880,-3158,-3433,-3714,-3989,-4271,-4549,-4825,-5106,-5381,-5656,-5926,-6193,-6460,-6721,-6979,
-7230,-7478,-7720,-7956,-8183,-8406,-8620,-8827,-9025,-9214,-9387,-9552,-9700,-9832,-9946,-10041,-10116,-10168,-10193,-10187,
-10151,-10082,-9974,-9819,-9624,-9376,-9075,-8719,-8312,-7845,-7331,-6770,-6175,-5550,-4907,-4248,-3595,-2951,-2324,-1725,
-1161,-644,-168,254,625,941,1203,1411,1566,1675,1739,1763,1749,1704,1640,1547,1436,1315,1188,1051,
920,787,670,559,469,393,345,325,331,372,452,571,730,930,1174,1459,1791,2160,2568,3010,
3486,3987,4512,5049,5601,6153,6705,7241,7756,8247,8696,9104,9466,9772,10027,10220,10357,10438,10467,10451,
10393,10297,10167,10014,9835,9630,9415,9180,8935,8680,8408,8135,7848,7554,7251,6944,6635,6321,5999,5676,
5350,5026,4698,4369,4040,3720,3394,3074,2758,2441,2125,1810,1502,1193,887,579,276,-27,-330,-632,
-933,-1231,-1525,-1819,-2109,-2397,-2678,-2964,-3244,-3520,-3794,-4073,-4344,-4618,-4892,-5165,-5437,-5706,-5978,-6248,
-6515,-6779,-7043,-7301,-7554,-7803,-8046,-8280,-8505,-8721,-8926,-9121,-9305,-9472,-9627,-9769,-9894,-10001,-10090,-10160,
-10210,-10229,-10222,-10186,-10116,-10002,-9846,-9644,-9388,-9077,-8708,-8284,-7804,-7274,-6703,-6095,-5462,-4813,-4158,-3506,
-2870,-2251,-1668,-1121,-612,-151,260,619,923,1175,1376,1523,1624,1675,1691,1667,1611,1525,1421,1296,
1162,1018,872,730,594,467,359,263,191,143,126,133,179,260,379,537,735,977,1259,1589,
1962,2369,2819,3302,3815,4352,4907,5474,6051,6616,7173,7708,8217,8687,9112,9489,9813,10076,10284,10435,
10527,10569,10563,10516,10427,10304,10152,9976,9774,9554,9315,9065,8800,8525,8239,7949,7650,7346,7039,6727,
6411,6096,5775,5458,5133,4812,4486,4164,3839,3516,3187,2864,2541,2220,1902,1582,1268,959,647,339,
39,-259,-557,-851,-1143,-1430,-1720,-2008,-2290,-2571,-2851,-3133,-3416,-3695,-3975,-4259,-4538,-4817,-5094,-5369,
-5642,-5915,-6182,-6447,-6706,-6966,-7217,-7470,-7712,-7953,-8187,-8415,-8635,-8848,-9051,-9243,-9424,-9593,-9747,-9887,
-10004,-10103,-10181,-10241,-10270,-10274,-10245,-10185,-10089,-9942,-9758,-9524,-9235,-8897,-8498,-8048,-7544,-6991,-6402,-5779,
-5135,-4483,-3825,-3177,-2545,-1941,-1374,-845,-362,69,450,775,1046,1266,1435,1553,1626,1662,1656,1623,
1556,1470,1363,1244,1112,977,841,711,583,468,374,296,240,215,215,257,329,443,596,793,
1031,1312,1637,2004,2409,2849,3326,3829,4360,4905,5463,6027,6591,7141,7677,8185,8658,9089,9471,9797,
10067,10281,10435,10532,10578,10574,10526,10438,10318,10167,9995,9799,9583,9353,9107,8850,8582,8303,8016,7721,
7420,7110,6795,6476,6155,5833,5503,5181,4851,4528,4199,3873,3554,3232,2912,2598,2282,1970,1656,1342,
1032,727,418,115,-190,-495,-792,-1094,-1391,-1683,-1970,-2255,-2536,-2819,-3092,-3371,-3645,-3920,-4192,-4465,
-4736,-5010,-5280,-5557,-5827,-6098,-6368,-6634,-6895,-7156,-7408,-7659,-7899,-8134,-8360,-8575,-8780,-8977,-9162,-9335,
-9496,-9641,-9774,-9890,-9987,-10065,-10121,-10155,-10163,-10139,-10081,-9985,-9847,-9663,-9425,-9138,-8798,-8400,-7944,-7442,
-6894,-6306,-5693,-5056,-4419,-3773,-3139,-2524,-1937,-1379,-861,-386,38,410,737,1008,1225,1394,1510,1582,
1613,1604,1562,1493,1397,1290,1165,1035,899,762,636,516,409,321,254,210,188,200,244,326,
443,601,800,1042,1328,1656,2029,2441,2892,3377,3894,4435,4993,5561,6136,6705,7269,7804,8319,8786,
9219,9597,9922,10191,10403,10555,10652,10691,10686,10636,10544,10418,10264,10085,9880,9656,9418,9165,8899,8622,
8340,8044,7745,7442,7131,6818,6503,6184,5864,5538,5214,4888,4561,4232,3902,3573,3246,2919,2590,2268,
1946,1628,1315,999,693,388,83,-215,-515,-810,-1101,-1394,-1682,-1970,-2254,-2539,-2825,-3105,-3387,-3669,
-3953,-4230,-4510,-4790,-5066,-5340,-5610,-5884,-6151,-6416,-6677,-6935,-7190,-7442,-7689,-7934,-8170,-8400,-8621,-8838,
-9042,-9240,-9422,-9593,-9747,-9884,-10010,-10110,-10193,-10249,-10284,-10295,-10272,-10217,-10128,-10000,-9827,-9604,-9332,-9001,
-8618,-8179,-7685,-7146,-6566,-5953,-5317,-4666,-4014,-3367,-2735,-2131,-1559,-1026,-539,-101,285,620,902,1130,
1307,1438,1521,1563,1564,1532,1470,1388,1281,1162,1029,894,752,617,489,368,266,184,125,94,
92,125,193,303,447,638,875,1147,1468,1829,2229,2671,3143,3649,4182,4731,5301,5873,6445,7012,
7560,8082,8572,9021,9421,9766,10056,10283,10454,10565,10625,10632,10595,10519,10406,10261,10093,9898,9687,9460,
9215,8963,8688,8409,8120,7821,7517,7208,6890,6571,6249,5926,5598,5271,4943,4615,4292,3969,3646,3325,
3006,2687,2368,2054,1738,1430,1116,807,500,192,-113,-414,-715,-1010,-1305,-1598,-1884,-2166,-2450,-2724,
-3001,-3271,-3547,-3821,-4093,-4367,-4642,-4912,-5186,-5458,-5729,-6001,-6267,-6532,-6794,-7052,-7302,-7550,-7789,-8022,
-8246,-8461,-8670,-8869,-9054,-9229,-9395,-9547,-9688,-9809,-9913,-10001,-10067,-10108,-10125,-10113,-10070,-9986,-9865,-9701,
-9484,-9219,-8894,-8524,-8095,-7617,-7093,-6528,-5935,-5314,-4685,-4046,-3419,-2804,-2209,-1643,-1115,-624,-185,209,
546,835,1072,1254,1388,1479,1525,1535,1504,1450,1370,1274,1157,1036,908,781,656,538,434,348,
275,228,207,211,251,326,435,587,779,1019,1301,1625,1987,2398,2843,3326,3834,4375,4933,5500,
6076,6645,7208,7749,8267,8745,9184,9574,9909,10189,10404,10568,10673,10722,10722,10674,10590,10464,10312,10131,
9929,9706,9468,9217,8950,8675,8392,8098,7803,7497,7188,6874,6560,6239,5912,5588,5262,4929,4598,4268,
3937,3604,3277,2948,2624,2301,1981,1666,1349,1039,729,423,121,-180,-480,-773,-1072,-1364,-1657,-1947,
-2231,-2516,-2804,-3083,-3367,-3646,-3926,-4201,-4480,-4753,-5025,-5297,-5566,-5833,-6100,-6361,-6622,-6880,-7137,-7388,
-7634,-7879,-8116,-8346,-8570,-8785,-8991,-9186,-9370,-9540,-9692,-9832,-9954,-10058,-10139,-10204,-10241,-10252,-10236,-10192,
-10111,-9988,-9821,-9611,-9347,-9030,-8658,-8234,-7755,-7228,-6660,-6058,-5431,-4794,-4146,-3510,-2885,-2285,-1715,-1188,
-696,-256,135,474,760,1000,1183,1321,1410,1458,1470,1444,1385,1305,1203,1086,955,816,678,540,
406,285,186,100,38,6,-1,29,94,197,339,523,751,1023,1339,1696,2096,2533,3005,3513,
4049,4608,5181,5762,6346,6922,7484,8023,8528,8988,9402,9766,10071,10308,10496,10619,10690,10705,10678,10608,
10503,10361,10195,10004,9796,9567,9321,9063,8790,8508,8216,7917,7609,7297,6981,6661,6338,6011,5686,5358,
5032,4702,4379,4050,3729,3404,3081,2761,2440,2121,1801,1488,1174,861,549,241,-62,-367,-666,-963,
-1255,-1546,-1831,-2116,-2391,-2671,-2945,-3220,-3494,-3768,-4042,-4316,-4590,-4864,-5138,-5411,-5682,-5950,-6217,-6483,
-6743,-6998,-7250,-7495,-7734,-7965,-8192,-8408,-8618,-8817,-9010,-9187,-9358,-9512,-9658,-9786,-9897,-9989,-10062,-10111,
-10133,-10128,-10091,-10021,-9911,-9755,-9557,-9308,-9008,-8649,-8242,-7783,-7279,-6730,-6149,-5545,-4921,-4290,-3659,-3044,
-2444,-1873,-1333,-837,-382,20,377,676,926,1126,1275,1376,1439,1459,1446,1401,1328,1241,1134,1017,
893,770,647,531,424,326,256,199,170,167,197,262,362,505,692,917,1188,1506,1868,2263,
2705,3176,3686,4220,4772,5341,5917,6496,7063,7616,8141,8637,9093,9501,9856,10153,10392,10568,10689,10752,
10762,10730,10655,10538,10395,10219,10019,9806,9570,9320,9059,8787,8507,8218,7919,7617,7307,6992,6673,6351,
6025,5696,5365,5032,4698,4363,4033,3699,3370,3038,2714,2391,2071,1752,1440,1126,821,513,209,-96,
-395,-696,-993,-1289,-1582,-1872,-2162,-2450,-2732,-3013,-3296,-3573,-3849,-4126,-4397,-4672,-4944,-5211,-5480,-5746,
-6010,-6272,-6535,-6795,-7050,-7301,-7549,-7792,-8029,-8259,-8484,-8698,-8902,-9096,-9276,-9442,-9595,-9735,-9860,-9964,
-10050,-10116,-10159,-10176,-10168,-10127,-10055,-9948,-9793,-9592,-9347,-9044,-8686,-8279,-7815,-7306,-6755,-6171,-5559,-4933,
-4300,-3672,-3056,-2464,-1899,-1369,-877,-433,-34,313,611,855,1050,1200,1301,1361,1382,1364,1317,1243,
1146,1032,908,777,641,510,382,266,163,82,23,-12,-17,9,73,173,312,495,724,992,
1306,1663,2059,2498,2971,3478,4016,4577,5153,5743,6331,6913,7482,8026,8542,9014,9435,9807,10121,10373,
10567,10698,10775,10802,10778,10713,10612,10474,10307,10118,9906,9677,9431,9169,8895,8608,8315,8013,7702,7388,
7070,6747,6423,6096,5766,5437,5107,4778,4452,4121,3794,3467,3142,2814,2490,2167,1846,1526,1207,893,
581,269,-36,-340,-640,-938,-1231,-1521,-1807,-2094,-2372,-2651,-2928,-3206,-3481,-3757,-4032,-4307,-4585,-4859,
-5133,-5405,-5675,-5942,-6209,-6471,-6729,-6985,-7232,-7477,-7716,-7947,-8175,-8394,-8605,-8805,-8997,-9181,-9354,-9511,
-9661,-9790,-9904,-9998,-10076,-10125,-10153,-10153,-10122,-10056,-9954,-9811,-9621,-9387,-9100,-8762,-8370,-7927,-7440,-6906,
-6338,-5741,-5127,-4501,-3873,-3257,-2658,-2083,-1540,-1033,-573,-162,205,518,780,990,1150,1266,1337,1370,
1366,1333,1272,1190,1089,981,861,736,613,497,384,288,206,146,110,101,124,179,274,411,
583,807,1068,1377,1728,2123,2553,3026,3525,4056,4610,5178,5755,6339,6914,7479,8019,8533,9005,9431,
9805,10124,10380,10581,10719,10800,10828,10808,10741,10639,10502,10338,10145,9934,9707,9464,9207,8939,8658,8370,
8075,7773,7464,7148,6825,6503,6176,5844,5511,5175,4842,4508,4176,3843,3513,3185,2860,2536,2215,1896,
1584,1270,962,651,346,41,-262,-563,-861,-1162,-1455,-1747,-2035,-2323,-2606,-2889,-3163,-3442,-3714,-3986,
-4258,-4529,-4800,-5067,-5333,-5600,-5862,-6127,-6385,-6642,-6901,-7154,-7399,-7643,-7876,-8108,-8330,-8540,-8744,-8936,
-9116,-9283,-9439,-9579,-9702,-9811,-9904,-9973,-10024,-10050,-10052,-10021,-9958,-9859,-9723,-9543,-9313,-9028,-8699,-8312,
-7872,-7386,-6861,-6301,-5710,-5101,-4487,-3871,-3261,-2674,-2112,-1579,-1085,-630,-223,137,448,709,922,1086,
1202,1278,1312,1310,1277,1215,1137,1031,918,794,668,540,421,311,214,136,78,47,42,65,
129,227,366,546,767,1032,1342,1694,2085,2525,2994,3499,4032,4592,5169,5751,6343,6929,7499,8048,
8562,9038,9467,9845,10164,10427,10625,10768,10849,10881,10862,10803,10701,10570,10405,10214,10002,9770,9521,9261,
8987,8702,8408,8104,7792,7477,7161,6837,6512,6186,5855,5527,5192,4860,4529,4197,3866,3537,3204,2874,
2546,2217,1895,1574,1251,937,624,312,6,-300,-602,-896,-1190,-1482,-1769,-2054,-2337,-2617,-2898,-3177,
-3451,-3729,-4006,-4282,-4557,-4832,-5106,-5377,-5645,-5913,-6178,-6437,-6692,-6947,-7194,-7439,-7677,-7908,-8136,-8355,
-8565,-8772,-8967,-9152,-9326,-9487,-9638,-9764,-9880,-9978,-10056,-10112,-10139,-10140,-10116,-10053,-9960,-9823,-9645,-9423,
-9146,-8820,-8445,-8014,-7538,-7018,-6465,-5879,-5271,-4654,-4035,-3419,-2825,-2248,-1706,-1200,-736,-320,48,369,
639,854,1024,1143,1225,1267,1270,1241,1193,1110,1016,906,787,665,540,416,304,199,113,45,
-1,-20,-4,40,130,253,423,632,886,1189,1533,1915,2344,2808,3304,3832,4384,4953,5536,6125,
6709,7288,7842,8368,8859,9305,9704,10042,10320,10541,10700,10795,10839,10835,10784,10692,10566,10408,10225,10023,
9801,9562,9310,9043,8765,8482,8185,7882,7572,7256,6935,6610,6278,5946,5615,5280,4944,4609,4276,3946,
3613,3288,2963,2638,2319,2000,1685,1370,1058,748,439,133,-171,-476,-778,-1077,-1371,-1666,-1952,-2239,
-2519,-2798,-3075,-3349,-3619,-3892,-4161,-4430,-4696,-4966,-5234,-5500,-5760,-6028,-6287,-6545,-6798,-7047,-7298,-7539,
-7771,-8001,-8220,-8432,-8631,-8826,-9004,-9171,-9329,-9474,-9599,-9711,-9806,-9884,-9938,-9974,-9979,-9960,-9910,-9826,
-9698,-9531,-9320,-9057,-8739,-8375,-7961,-7496,-6991,-6451,-5883,-5292,-4687,-4085,-3488,-2902,-2338,-1807,-1306,-847,
-433,-58,263,540,764,940,1070,1157,1206,1219,1197,1144,1069,978,871,754,635,515,397,289,
198,117,58,23,12,33,92,183,312,485,697,952,1255,1595,1982,2408,2875,3371,3899,4453,
5024,5609,6198,6778,7354,7904,8424,8908,9350,9735,10068,10339,10555,10708,10807,10848,10838,10788,10696,10567,
10407,10224,10016,9786,9541,9280,9010,8726,8433,8136,7829,7518,7200,6880,6556,6231,5901,5571,5240,4905,
4570,4238,3902,3570,3234,2906,2575,2251,1922,1599,1282,966,653,345,37,-266,-567,-865,-1159,-1448,
-1739,-2026,-2308,-2591,-2869,-3147,-3427,-3704,-3982,-4256,-4530,-4801,-5073,-5342,-5610,-5873,-6131,-6389,-6641,-6892,
-7137,-7381,-7617,-7850,-8076,-8298,-8506,-8712,-8906,-9093,-9266,-9428,-9571,-9705,-9817,-9912,-9990,-10044,-10078,-10081,
-10057,-10003,-9913,-9785,-9615,-9402,-9142,-8831,-8466,-8056,-7594,-7091,-6552,-5980,-5389,-4785,-4176,-3574,-2985,-2416,
-1879,-1378,-918,-500,-128,194,465,690,865,998,1086,1133,1144,1126,1078,1009,920,812,698,576,
450,329,211,109,19,-52,-101,-121,-112,-65,14,138,303,509,758,1055,1394,1775,2195,2652,
3147,3671,4221,4792,5377,5968,6562,7142,7708,8246,8750,9208,9616,9970,10265,10496,10668,10781,10836,10841,
10800,10718,10603,10452,10276,10079,9860,9627,9377,9115,8840,8556,8259,7959,7646,7330,7006,6681,6354,6020,
5684,5351,5017,4685,4352,4023,3693,3368,3039,2721,2394,2076,1757,1442,1130,819,509,200,-105,-407,
-706,-1009,-1303,-1594,-1882,-2165,-2444,-2719,-2994,-3267,-3536,-3804,-4073,-4341,-4608,-4875,-5140,-5407,-5670,-5931,
-6190,-6447,-6698,-6946,-7190,-7429,-7661,-7884,-8101,-8311,-8511,-8702,-8882,-9048,-9208,-9352,-9481,-9599,-9699,-9778,
-9842,-9883,-9895,-9883,-9841,-9767,-9653,-9498,-9299,-9054,-8760,-8415,-8021,-7583,-7100,-6580,-6028,-5455,-4870,-4275,
-3687,-3106,-2546,-2011,-1505,-1042,-616,-236,104,389,628,820,964,1063,1126,1146,1138,1099,1035,955,
860,750,637,523,411,309,213,134,74,37,22,35,84,169,290,450,657,901,1192,1522,
1899,2317,2768,3256,3777,4322,4886,5464,6050,6631,7203,7754,8284,8775,9228,9626,9972,10262,10491,10657,
10774,10828,10835,10793,10712,10594,10444,10262,10061,9840,9600,9348,9080,8803,8517,8219,7919,7612,7298,6983,
6658,6334,6007,5675,5342,5010,4676,4340,4006,3672,3338,3006,2676,2347,2028,1705,1385,1071,760,451,
149,-156,-454,-751,-1047,-1342,-1631,-1919,-2204,-2484,-2766,-3044,-3321,-3596,-3871,-4141,-4415,-4682,-4948,-5213,
-5475,-5736,-5994,-6247,-6500,-6746,-6991,-7231,-7466,-7699,-7924,-8141,-8352,-8556,-8747,-8933,-9102,-9262,-9409,-9538,
-9651,-9747,-9820,-9876,-9912,-9915,-9899,-9848,-9765,-9647,-9486,-9282,-9032,-8736,-8389,-7993,-7549,-7064,-6540,-5988,
-5409,-4822,-4230,-3639,-3059,-2501,-1971,-1473,-1018,-603,-230,93,369,600,783,921,1018,1072,1094,1080,
1034,972,883,783,668,548,425,305,187,81,-11,-83,-135,-157,-151,-112,-33,83,238,442,
683,970,1298,1668,2081,2535,3020,3539,4085,4653,5236,5827,6422,7011,7577,8125,8636,9107,9526,9890,
10197,10442,10628,10751,10823,10840,10808,10734,10626,10483,10317,10123,9911,9680,9432,9169,8896,8615,8319,8015,
7705,7391,7064,6739,6410,6078,5746,5412,5077,4746,4414,4082,3750,3421,3096,2768,2443,2123,1801,1484,
1165,849,537,228,-81,-382,-689,-987,-1280,-1573,-1859,-2141,-2421,-2697,-2972,-3241,-3514,-3783,-4052,-4321,
-4587,-4853,-5119,-5383,-5651,-5912,-6171,-6424,-6677,-6922,-7163,-7399,-7630,-7852,-8069,-8274,-8473,-8663,-8841,-9011,
-9169,-9314,-9447,-9564,-9667,-9749,-9813,-9854,-9872,-9865,-9822,-9750,-9642,-9497,-9304,-9074,-8788,-8459,-8079,-7654,
-7185,-6681,-6141,-5579,-5001,-4421,-3838,-3264,-2705,-2174,-1669,-1200,-770,-386,-49,245,488,685,834,947,
1013,1042,1040,1007,953,873,782,680,567,455,343,240,141,57,-9,-55,-76,-71,-33,42,
151,303,493,730,1005,1329,1690,2097,2541,3024,3530,4070,4630,5201,5786,6368,6942,7508,8044,8552,
9016,9435,9800,10110,10362,10553,10684,10758,10780,10757,10688,10580,10441,10275,10080,9866,9633,9387,9126,8854,
8570,8284,7984,7679,7371,7056,6736,6410,6083,5756,5422,5086,4752,4414,4079,3742,3407,3077,2748,2419,
2098,1779,1461,1146,835,525,223,-83,-384,-681,-979,-1270,-1566,-1853,-2138,-2422,-2704,-2981,-3255,-3530,
-3802,-4074,-4339,-4606,-4871,-5133,-5394,-5648,-5904,-6155,-6407,-6650,-6895,-7131,-7369,-7595,-7822,-8038,-8245,-8444,
-8637,-8818,-8986,-9143,-9281,-9413,-9524,-9617,-9695,-9751,-9785,-9798,-9780,-9738,-9661,-9548,-9401,-9209,-8973,-8690,
-8359,-7982,-7556,-7088,-6582,-6049,-5487,-4913,-4333,-3757,-3189,-2640,-2113,-1621,-1161,-741,-365,-34,251,493,
687,838,944,1015,1048,1044,1013,957,881,786,680,569,450,336,223,123,37,-34,-80,-101,
-90,-50,24,138,293,491,727,1006,1333,1695,2102,2546,3026,3540,4079,4644,5221,5814,6402,6987,
7560,8104,8616,9089,9517,9890,10204,10456,10649,10785,10864,10892,10871,10806,10706,10574,10411,10222,10012,9785,
9539,9281,9008,8723,8428,8123,7813,7498,7177,6851,6523,6192,5858,5526,5190,4855,4526,4193,3863,3530,
3198,2873,2545,2218,1898,1574,1256,939,623,312,4,-303,-602,-904,-1200,-1492,-1779,-2063,-2342,-2620,
-2897,-3167,-3440,-3708,-3981,-4251,-4519,-4785,-5051,-5317,-5579,-5837,-6094,-6348,-6598,-6843,-7083,-7312,-7541,-7761,
-7975,-8183,-8380,-8569,-8750,-8919,-9078,-9220,-9354,-9473,-9573,-9657,-9724,-9765,-9781,-9773,-9737,-9672,-9567,-9422,
-9241,-9014,-8739,-8422,-8054,-7644,-7190,-6700,-6176,-5629,-5061,-4488,-3911,-3342,-2793,-2260,-1759,-1292,-861,-473,
-134,161,409,612,770,885,957,997,1003,978,928,860,773,676,568,457,348,242,143,57,
-11,-62,-89,-90,-56,11,109,251,435,658,931,1241,1596,1991,2423,2892,3396,3926,4479,5051,
5630,6211,6789,7355,7899,8418,8892,9327,9704,10033,10297,10500,10649,10739,10772,10761,10704,10609,10474,10313,
10127,9921,9693,9451,9197,8927,8648,8361,8064,7760,7450,7133,6814,6486,6156,5823,5488,5153,4814,4472,
4137,3801,3465,3133,2798,2473,2149,1825,1507,1191,878,566,256,-49,-351,-654,-955,-1251,-1545,-1839,
-2128,-2411,-2694,-2974,-3249,-3520,-3791,-4061,-4326,-4595,-4851,-5116,-5375,-5628,-5885,-6138,-6387,-6632,-6876,-7114,
-7347,-7577,-7799,-8015,-8222,-8421,-8609,-8784,-8953,-9106,-9251,-9374,-9486,-9580,-9656,-9715,-9754,-9768,-9756,-9719,
-9648,-9549,-9409,-9227,-9005,-8736,-8421,-8059,-7651,-7202,-6714,-6193,-5652,-5093,-4524,-3957,-3394,-2850,-2331,-1834,
-1372,-954,-568,-227,68,319,527,688,812,890,936,949,928,884,817,733,636,529,421,309,
204,109,25,-43,-89,-108,-98,-63,11,118,264,455,684,955,1270,1624,2019,2456,2927,3430,
3964,4518,5092,5678,6262,6846,7413,7960,8475,8953,9383,9764,10086,10353,10556,10704,10792,10834,10822,10769,
10677,10553,10396,10215,10007,9785,9542,9285,9016,8736,8444,8143,7835,7522,7200,6876,6554,6221,5890,5559,
5222,4889,4554,4219,3889,3554,3223,2890,2559,2231,1902,1577,1257,935,621,307,-1,-307,-608,-910,
-1204,-1496,-1782,-2069,-2351,-2630,-2905,-3182,-3453,-3723,-3995,-4263,-4535,-4801,-5067,-5330,-5591,-5851,-6103,-6354,
-6598,-6840,-7076,-7307,-7533,-7751,-7965,-8169,-8362,-8551,-8727,-8896,-9053,-9197,-9326,-9442,-9541,-9625,-9687,-9726,
-9747,-9734,3,-113,-521,-935,-1296,-1480,-1530,-1440,-1238,-941,-625,-268,165,718,1328,1903,2366,2740,
3043,3304,3530,3750,3987,4248,4501,4777,5105,5500,5919,6324,6698,7034,7301,7479,7569,7580,7516,7372,
7152,6902,6625,6336,6035,5738,5441,5154,4863,4567,4268,3964,3654,3339,3000,2655,2303,1958,1620,1298,
988,676,373,109,-117,-311,-484,-646,-799,-955,-1131,-1293,-1438,-1570,-1702,-1850,-2022,-2202,-2400,-2606,
-2803,-2985,-3158,-3337,-3543,-3766,-4000,-4238,-4470,-4693,-4899,-5100,-5334,-5600,-5888,-6180,-6465,-6744,-7026,-7307,
-7600,-7920,-8251,-8569,-8859,-9109,-9335,-9539,-9720,-9896,-10060,-10189,-10257,-10246,-10171,-10031,-9806,-9478,-9023,-8405,
-7611,-6632,-5513,-4300,-3039,-1755,-477,768,1940,2996,3909,4658,5237,5644,5886,5974,5936,5790,5549,5243,
4904,4540,4148,3723,3267,2806,2337,1853,1381,925,484,45,-406,-855,-1282,-1695,-2088,-2456,-2790,-3073,
-3326,-3541,-3703,-3799,-3841,-3832,-3776,-3647,-3458,-3200,-2860,-2428,-1908,-1299,-618,155,1012,1943,2934,3959,
4981,5967,6894,7752,8504,9122,9584,9884,10039,10058,9955,9784,9573,9325,9030,8705,8376,8054,7733,7411,
7098,6792,6474,6127,5764,5414,5076,4738,4403,4069,3737,3407,3072,2762,2482,2224,1983,1747,1517,1304,
1086,875,680,503,334,153,-44,-244,-448,-655,-853,-1048,-1234,-1418,-1614,-1818,-2018,-2214,-2399,-2581,
-2764,-2939,-3126,-3335,-3552,-3766,-3977,-4179,-4395,-4615,-4847,-5100,-5363,-5624,-5871,-6096,-6315,-6529,-6739,-6950,
-7157,-7353,-7525,-7666,-7784,-7897,-8015,-8125,-8222,-8299,-8344,-8331,-8244,-8089,-7858,-7524,-7066,-6465,-5734,-4882,
-3920,-2885,-1808,-722,346,1365,2305,3141,3852,4435,4902,5247,5488,5616,5625,5536,5366,5122,4827,4497,
4151,3793,3404,2980,2547,2113,1678,1239,812,409,12,-393,-792,-1174,-1530,-1867,-2195,-2506,-2809,-3114,
-3420,-3724,-4000,-4249,-4479,-4690,-4863,-4990,-5069,-5092,-5043,-4899,-4647,-4275,-3761,-3094,-2281,-1318,-227,977,
2249,3552,4853,6130,7351,8471,9459,10304,10967,11426,11695,11799,11769,11616,11359,11043,10679,10278,9844,9389,
8936,8494,8043,7594,7157,6736,6329,5927,5541,5176,4832,4489,4154,3827,3518,3220,2923,2644,2383,2133,
1892,1651,1416,1195,975,757,553,356,171,-13,-199,-374,-551,-728,-900,-1067,-1226,-1383,-1543,-1712,
-1881,-2054,-2236,-2421,-2610,-2796,-2990,-3193,-3402,-3615,-3823,-4037,-4258,-4484,-4709,-4953,-5208,-5470,-5729,-5982,
-6238,-6505,-6774,-7051,-7338,-7628,-7908,-8165,-8408,-8649,-8880,-9095,-9296,-9488,-9656,-9785,-9865,-9911,-9925,-9885,
-9769,-9545,-9189,-8676,-7982,-7115,-6106,-4980,-3755,-2462,-1140,164,1406,2546,3552,4408,5108,5642,6014,6232,
6317,6278,6132,5908,5635,5320,4954,4542,4110,3667,3208,2742,2277,1831,1391,936,484,43,-380,-787,
-1188,-1570,-1924,-2269,-2602,-2913,-3188,-3422,-3628,-3809,-3964,-4079,-4155,-4185,-4155,-4043,-3845,-3564,-3197,-2735,
-2165,-1493,-721,146,1093,2095,3138,4201,5249,6248,7169,7993,8692,9246,9660,9949,10120,10171,10102,9946,
9726,9456,9151,8824,8497,8170,7818,7450,7078,6711,6346,5985,5632,5286,4948,4601,4252,3917,3603,3307,
3018,2743,2487,2236,1982,1733,1493,1272,1050,829,613,396,176,-42,-258,-464,-664,-864,-1065,-1265,
-1464,-1656,-1851,-2043,-2227,-2411,-2606,-2807,-3010,-3210,-3417,-3624,-3830,-4041,-4258,-4486,-4726,-4966,-5199,-5440,
-5678,-5916,-6148,-6378,-6616,-6847,-7062,-7265,-7463,-7657,-7843,-8022,-8189,-8349,-8488,-8590,-8662,-8710,-8723,-8679,
-8564,-8358,-8050,-7609,-7033,-6339,-5540,-4653,-3684,-2659,-1609,-558,460,1421,2293,3066,3723,4260,4677,4982,
5182,5273,5268,5180,5024,4792,4493,4146,3774,3386,2973,2549,2122,1700,1263,822,389,-17,-403,-784,
-1156,-1519,-1870,-2226,-2581,-2921,-3232,-3524,-3805,-4069,-4303,-4497,-4653,-4760,-4795,-4756,-4658,-4472,-4167,-3716,
-3111,-2357,-1458,-431,704,1908,3166,4448,5714,6935,8079,9105,9985,10690,11217,11570,11750,11765,11645,11427,
11138,10798,10419,10026,9628,9214,8783,8347,7919,7508,7100,6697,6310,5930,5555,5181,4816,4469,4139,3815,
3499,3194,2897,2608,2324,2052,1799,1558,1321,1086,860,644,430,222,30,-158,-342,-528,-715,-901,
-1084,-1269,-1449,-1627,-1805,-1991,-2180,-2375,-2569,-2763,-2959,-3158,-3353,-3553,-3757,-3971,-4185,-4401,-4615,-4837,
-5061,-5293,-5530,-5777,-6033,-6286,-6539,-6792,-7050,-7311,-7565,-7817,-8071,-8316,-8540,-8745,-8934,-9114,-9276,-9410,
-9521,-9602,-9639,-9614,-9505,-9313,-9021,-8595,-8018,-7288,-6404,-5383,-4240,-3013,-1748,-481,746,1898,2944,3863,
4629,5243,5705,6027,6215,6275,6218,6073,5857,5576,5241,4875,4490,4084,3653,3201,2748,2301,1850,1407,
974,561,154,-254,-657,-1041,-1409,-1766,-2113,-2441,-2749,-3039,-3325,-3593,-3834,-4047,-4236,-4398,-4521,-4593,
-4609,-4567,-4447,-4236,-3926,-3525,-3018,-2398,-1662,-812,147,1198,2307,3436,4565,5664,6708,7662,8505,9221,
9783,10182,10429,10550,10557,10466,10285,10046,9763,9436,9079,8709,8335,7958,7576,7184,6797,6418,6040,5670,
5310,4969,4637,4310,3989,3683,3391,3106,2829,2566,2314,2067,1814,1565,1326,1091,861,636,417,204,
-12,-230,-445,-652,-856,-1056,-1253,-1445,-1633,-1826,-2022,-2218,-2413,-2605,-2807,-3013,-3218,-3430,-3648,-3869,
-4092,-4308,-4528,-4758,-4988,-5221,-5449,-5683,-5909,-6131,-6343,-6558,-6780,-7005,-7220,-7430,-7637,-7832,-8014,-8185,
-8353,-8517,-8663,-8775,-8852,-8895,-8884,-8809,-8658,-8428,-8102,-7651,-7060,-6354,-5542,-4642,-3674,-2670,-1651,-644,
332,1247,2080,2812,3431,3929,4306,4572,4725,4768,4714,4583,4387,4134,3827,3485,3118,2730,2316,1889,
1469,1053,636,221,-184,-573,-954,-1332,-1696,-2042,-2374,-2704,-3023,-3321,-3589,-3825,-4031,-4190,-4298,-4353,
-4352,-4298,-4175,-3949,-3603,-3127,-2509,-1764,-892,92,1166,2303,3476,4656,5826,6954,8009,8962,9793,10471,
10966,11279,11431,11449,11353,11165,10906,10604,10261,9887,9493,9095,8707,8314,7921,7530,7144,6761,6377,5999,
5636,5285,4940,4598,4262,3936,3615,3300,2998,2713,2437,2165,1904,1645,1403,1168,939,720,514,315,
116,-82,-275,-462,-650,-839,-1023,-1209,-1394,-1584,-1776,-1960,-2147,-2334,-2525,-2716,-2910,-3106,-3313,-3515,
-3718,-3923,-4129,-4344,-4563,-4785,-5016,-5256,-5495,-5731,-5971,-6215,-6466,-6716,-6963,-7210,-7453,-7684,-7896,-8099,
-8302,-8492,-8660,-8809,-8932,-9031,-9091,-9099,-9066,-8976,-8802,-8517,-8097,-7547,-6857,-6026,-5074,-4027,-2913,-1752,
-581,564,1644,2628,3487,4212,4799,5248,5561,5748,5818,5793,5681,5490,5232,4927,4585,4205,3795,3375,
2952,2527,2091,1652,1219,796,369,-46,-444,-824,-1191,-1555,-1916,-2260,-2593,-2916,-3224,-3514,-3781,-4030,
-4275,-4496,-4687,-4839,-4952,-5015,-5014,-4938,-4788,-4554,-4231,-3804,-3251,-2560,-1733,-775,294,1441,2643,3864,
5069,6225,7309,8291,9141,9844,10389,10768,10984,11048,10988,10835,10610,10326,9998,9645,9272,8876,8466,8054,
7651,7249,6852,6455,6072,5696,5321,4957,4610,4278,3961,3647,3347,3059,2777,2501,2232,1978,1735,1494,
1256,1024,802,583,368,159,-42,-238,-434,-631,-821,-1008,-1193,-1376,-1555,-1733,-1915,-2100,-2289,-2482,
-2673,-2869,-3070,-3275,-3479,-3691,-3910,-4136,-4360,-4578,-4803,-5033,-5263,-5492,-5722,-5958,-6196,-6425,-6650,-6877,
-7105,-7334,-7556,-7771,-7985,-8187,-8367,-8532,-8683,-8827,-8942,-9020,-9060,-9054,-8977,-8813,-8551,-8193,-7718,-7116,
-6383,-5541,-4603,-3599,-2551,-1494,-463,531,1455,2285,3013,3614,4094,4439,4664,4781,4792,4710,4554,4328,
4060,3745,3392,3016,2623,2212,1785,1357,940,532,128,-269,-654,-1029,-1399,-1767,-2124,-2458,-2769,-3068,
-3343,-3593,-3810,-3991,-4138,-4231,-4264,-4233,-4137,-3976,-3732,-3367,-2882,-2267,-1523,-664,295,1336,2444,3584,
4736,5867,6952,7960,8857,9623,10253,10721,11020,11159,11166,11060,10867,10606,10304,9977,9629,9259,8876,8492,
8108,7728,7344,6973,6610,6246,5885,5524,5179,4842,4511,4189,3879,3575,3281,2992,2717,2454,2204,1960,
1726,1499,1282,1069,858,660,470,284,99,-88,-270,-453,-640,-829,-1009,-1185,-1363,-1545,-1728,-1911,
-2098,-2286,-2476,-2668,-2858,-3054,-3262,-3472,-3682,-3897,-4119,-4344,-4574,-4804,-5044,-5293,-5538,-5781,-6022,-6265,
-6507,-6743,-6971,-7202,-7430,-7639,-7828,-7999,-8161,-8304,-8422,-8518,-8587,-8614,-8577,-8465,-8270,-7988,-7593,-7077,
-6434,-5675,-4804,-3836,-2797,-1732,-663,375,1360,2257,3049,3725,4274,4700,5009,5204,5295,5281,5185,5017,
4785,4496,4170,3819,3446,3047,2630,2205,1783,1356,931,512,101,-299,-697,-1089,-1467,-1829,-2183,-2528,
-2864,-3187,-3501,-3808,-4099,-4362,-4599,-4807,-4991,-5133,-5228,-5269,-5245,-5156,-4992,-4716,-4319,-3785,-3106,-2286,
-1333,-264,894,2112,3351,4588,5799,6944,7993,8913,9683,10281,10695,10939,11035,11010,10875,10655,10371,10045,
9685,9304,8908,8510,8112,7709,7299,6893,6498,6109,5728,5357,5002,4656,4316,3986,3666,3363,3069,2786,
2513,2252,1997,1741,1496,1261,1036,817,601,395,193,-7,-203,-395,-581,-763,-943,-1124,-1299,-1478,
-1654,-1833,-2011,-2187,-2367,-2550,-2741,-2935,-3133,-3334,-3543,-3751,-3958,-4171,-4390,-4616,-4840,-5065,-5292,-5522,
-5749,-5975,-6204,-6442,-6679,-6911,-7140,-7362,-7583,-7792,-7989,-8181,-8370,-8540,-8684,-8803,-8897,-8965,-8991,-8970,
-8894,-8748,-8501,-8132,-7640,-7025,-6294,-5447,-4509,-3498,-2445,-1368,-304,715,1664,2511,3244,3855,4339,4693,
4926,5044,5064,4993,4844,4623,4352,4034,3682,3302,2898,2492,2083,1663,1243,822,414,11,-382,-768,
-1138,-1497,-1850,-2196,-2527,-2834,-3119,-3383,-3622,-3827,-3999,-4135,-4228,-4258,-4222,-4113,-3937,-3685,-3336,-2868,
-2280,-1564,-730,209,1223,2297,3404,4521,5621,6681,7668,8551,9305,9917,10378,10689,10853,10885,10812,10648,
10414,10125,9808,9475,9127,8765,8397,8024,7654,7280,6908,6547,6195,5843,5493,5149,4814,4487,4164,3853,
3559,3274,2993,2717,2456,2204,1960,1722,1496,1280,1073,861,654,455,259,67,-125,-315,-505,-692,
-879,-1068,-1249,-1430,-1607,-1788,-1970,-2151,-2335,-2527,-2717,-2907,-3096,-3292,-3494,-3699,-3909,-4122,-4344,-4564,
-4784,-5002,-5223,-5450,-5678,-5900,-6121,-6339,-6552,-6749,-6940,-7130,-7316,-7481,-7633,-7765,-7879,-7968,-8020,-8043,
-8023,-7951,-7799,-7555,-7208,-6755,-6186,-5503,-4726,-3866,-2937,-1959,-969,9,947,1818,2602,3282,3854,4315,
4663,4900,5038,5080,5033,4907,4721,4481,4192,3861,3505,3128,2738,2328,1909,1484,1063,638,220,-186,
-579,-963,-1342,-1716,-2080,-2431,-2777,-3108,-3418,-3709,-3982,-4236,-4462,-4655,-4806,-4915,-4969,-4975,-4921,-4775,
-4515,-4129,-3603,-2943,-2153,-1235,-209,904,2079,3287,4503,5684,6809,7843,8759,9528,10133,10571,10843,10959,
10932,10795,10581,10307,9984,9632,9257,8872,8473,8061,7649,7245,6846,6448,6055,5673,5298,4927,4565,4215,
3882,3558,3238,2932,2638,2352,2074,1803,1547,1302,1060,825,597,376,163,-44,-247,-440,-628,-816,
-1003,-1186,-1369,-1545,-1723,-1898,-2067,-2240,-2417,-2597,-2779,-2962,-3150,-3338,-3532,-3727,-3925,-4127,-4336,-4546,
-4753,-4962,-5177,-5396,-5615,-5836,-6060,-6288,-6511,-6729,-6948,-7170,-7387,-7599,-7803,-8003,-8190,-8359,-8507,-8645,
-8771,-8871,-8940,-8973,-8963,-8896,-8754,-8522,-8204,-7775,-7220,-6533,-5728,-4820,-3828,-2777,-1700,-634,405,1381,
2273,3059,3728,4268,4679,4968,5144,5212,5182,5068,4885,4647,4358,4029,3677,3301,2911,2503,2088,1678,
1273,870,470,78,-306,-682,-1054,-1411,-1752,-2086,-2408,-2719,-3012,-3285,-3538,-3767,-3961,-4118,-4232,-4304,
-4321,-4272,-4155,-3967,-3701,-3325,-2829,-2205,-1461,-597,367,1411,2505,3625,4746,5838,6879,7847,8711,9440,
10018,10439,10708,10837,10835,10736,10560,10318,10026,9698,9346,8987,8615,8234,7855,7478,7099,6718,6337,5968,
5607,5251,4902,4564,4234,3914,3598,3295,3009,2734,2465,2202,1951,1707,1470,1236,1010,796,584,372,
163,-39,-242,-441,-639,-833,-1021,-1209,-1397,-1582,-1766,-1951,-2132,-2314,-2497,-2680,-2870,-3064,-3263,-3462,
-3661,-3869,-4079,-4288,-4504,-4719,-4944,-5166,-5385,-5601,-5817,-6036,-6250,-6457,-6668,-6874,-7069,-7249,-7421,-7583,
-7737,-7876,-7995,-8097,-8174,-8211,-8203,-8145,-8036,-7852,-7577,-7202,-6717,-6121,-5414,-4610,-3736,-2812,-1858,-895,
50,952,1790,2542,3195,3737,4169,4489,4704,4822,4850,4798,4672,4485,4246,3966,3644,3289,2914,2524,
2125,1717,1304,901,499,97,-297,-681,-1050,-1413,-1768,-2110,-2440,-2756,-3060,-3348,-3609,-3844,-4052,-4231,
-4368,-4463,-4511,-4518,-4441,-4266,-3975,-3559,-3022,-2354,-1557,-643,374,1469,2612,3779,4944,6080,7160,8151,
9021,9752,10320,10718,10951,11042,11016,10882,10664,10383,10061,9706,9329,8938,8547,8152,7750,7346,6942,6547,
6155,5770,5395,5030,4671,4319,3971,3640,3318,3008,2706,2414,2135,1862,1592,1332,1082,842,612,384,
166,-47,-254,-462,-662,-855,-1046,-1240,-1427,-1614,-1799,-1983,-2169,-2353,-2535,-2720,-2909,-3103,-3298,-3496,
-3696,-3898,-4100,-4302,-4506,-4720,-4934,-5150,-5367,-5583,-5799,-6019,-6231,-6449,-6671,-6892,-7106,-7311,-7513,-7709,
-7895,-8067,-8231,-8386,-8524,-8632,-8715,-8772,-8800,-8785,-8718,-8592,-8391,-8091,-7680,-7149,-6502,-5747,-4886,-3942,
-2938,-1897,-845,186,1166,2066,2864,3552,4118,4564,4894,5106,5212,5222,5151,5002,4790,4528,4227,3896,
3539,3162,2776,2386,1986,1581,1179,784,394,12,-364,-729,-1081,-1436,-1782,-2119,-2438,-2747,-3038,-3313,
-3566,-3795,-4004,-4178,-4313,-4401,-4434,-4410,-4325,-4180,-3942,-3597,-3129,-2529,-1800,-955,0,1045,2153,3301,
4461,5607,6702,7721,8638,9434,10086,10577,10911,11091,11137,11066,10900,10671,10394,10082,9737,9373,8998,8616,
8227,7832,7445,7063,6680,6302,5924,5553,5193,4837,4489,4157,3836,3522,3214,2919,2636,2365,2098,1841,
1595,1356,1121,890,663,446,232,21,-187,-390,-593,-795,-994,-1193,-1383,-1573,-1762,-1951,-2140,-2331,
-2524,-2721,-2916,-3113,-3314,-3521,-3728,-3941,-4154,-4375,-4595,-4816,-5035,-5260,-5488,-5714,-5936,-6158,-6378,-6593,
-6798,-6998,-7196,-7393,-7578,-7746,-7902,-8044,-8171,-8273,-8356,-8420,-8448,-8428,-8350,-8206,-7985,-7671,-7253,-6731,
-6107,-5379,-4562,-3671,-2739,-1788,-840,77,943,1736,2442,3047,3546,3936,4218,4396,4481,4479,4400,4251,
4042,3785,3492,3166,2812,2437,2050,1656,1254,853,457,72,-307,-683,-1051,-1405,-1748,-2080,-2399,-2702,
-2988,-3257,-3511,-3738,-3936,-4097,-4215,-4291,-4319,-4298,-4212,-4032,-3737,-3327,-2791,-2135,-1358,-474,508,1558,
2659,3785,4904,5995,7031,7989,8836,9556,10128,10547,10807,10920,10910,10802,10616,10372,10078,9754,9409,9044,
8666,8282,7901,7522,7144,6763,6389,6018,5654,5294,4944,4608,4277,3950,3633,3324,3027,2736,2451,2178,
1915,1660,1408,1163,930,703,483,267,62,-139,-339,-537,-731,-921,-1110,-1297,-1483,-1665,-1849,-2037,
-2224,-2412,-2604,-2793,-2986,-3183,-3382,-3581,-3788,-3996,-4204,-4410,-4621,-4834,-5050,-5268,-5487,-5704,-5928,-6145,
-6358,-6570,-6785,-6996,-7199,-7392,-7577,-7753,-7907,-8045,-8171,-8281,-8365,-8419,-8434,-8410,-8326,-8179,-7950,-7641,
-7230,-6707,-6064,-5313,-4473,-3554,-2588,-1596,-606,356,1267,2105,2848,3484,4003,4404,4692,4875,4961,4952,
4868,4719,4512,4257,3967,3640,3295,2929,2547,2159,1767,1376,989,600,217,-158,-530,-894,-1248,-1594,
-1927,-2253,-2569,-2871,-3155,-3419,-3664,-3884,-4071,-4228,-4344,-4415,-4432,-4395,-4299,-4123,-3836,-3435,-2908,-2256,
-1477,-582,420,1498,2630,3787,4940,6070,7146,8140,9016,9754,10337,10759,11025,11143,11141,11039,10855,10602,
10304,9975,9626,9262,8886,8504,8120,7732,7341,6951,6568,6189,5819,5450,5091,4743,4399,4068,3745,3438,
3143,2854,2574,2306,2044,1791,1541,1302,1073,849,628,410,196,-11,-216,-421,-620,-814,-1009,-1201,
-1394,-1582,-1766,-1954,-2141,-2328,-2518,-2711,-2909,-3109,-3311,-3514,-3726,-3938,-4155,-4373,-4597,-4824,-5055,-5280,
-5505,-5729,-5955,-6179,-6398,-6620,-6840,-7050,-7249,-7440,-7626,-7802,-7967,-8119,-8255,-8373,-8466,-8525,-8552,-8546,
-8493,-8371,-8175,-7887,-7499,-6995,-6380,-5666,-4864,-3988,-3056,-2093,-1128,-186,714,1540,2277,2910,3441,3855,
4165,4368,4471,4483,4411,4273,4072,3818,3521,3191,2840,2467,2077,1681,1279,880,481,86,-302,-672,
-1037,-1393,-1739,-2073,-2399,-2712,-3010,-3288,-3545,-3777,-3986,-4159,-4299,-4391,-4433,-4424,-4358,-4224,-3989,-3643,
-3177,-2590,-1883,-1066,-150,843,1893,2975,4073,5158,6201,7183,8074,8847,9485,9974,10318,10520,10595,10553,
10420,10217,9965,9667,9347,9010,8660,8301,7934,7565,7197,6833,6472,6114,5763,5421,5080,4740,4412,4094,
3781,3479,3183,2896,2618,2342,2077,1824,1577,1338,1105,880,662,448,239,34,-162,-356,-547,-743,
-932,-1123,-1313,-1502,-1690,-1876,-2063,-2252,-2447,-2641,-2836,-3033,-3233,-3435,-3635,-3839,-4046,-4258,-4471,-4683,
-4898,-5113,-5331,-5547,-5764,-5984,-6203,-6414,-6622,-6824,-7022,-7208,-7386,-7553,-7708,-7848,-7965,-8060,-8131,-8180,
-8190,-8163,-8084,-7948,-7730,-7418,-7005,-6495,-5875,-5159,-4352,-3474,-2544,-1583,-621,315,1200,2014,2735,3355,
3866,4266,4561,4749,4842,4851,4781,4642,4444,4202,3919,3603,3259,2900,2530,2145,1754,1362,969,582,
193,-188,-560,-924,-1284,-1633,-1972,-2299,-2612,-2912,-3196,-3459,-3701,-3917,-4105,-4254,-4356,-4414,-4423,-4386,
-4281,-4072,-3757,-3320,-2755,-2070,-1262,-345,668,1753,2884,4029,5171,6272,7312,8258,9090,9786,10324,10702,
10927,11015,10982,10851,10649,10398,10102,9777,9429,9062,8690,8309,7925,7543,7164,6782,6402,6023,5652,5288,
4933,4583,4249,3922,3606,3296,2997,2710,2431,2160,1898,1644,1400,1160,921,694,473,253,39,-173,
-376,-581,-783,-983,-1179,-1368,-1556,-1745,-1933,-2118,-2307,-2498,-2689,-2884,-3079,-3277,-3483,-3690,-3900,-4115,
-4333,-4550,-4771,-4990,-5213,-5440,-5663,-5885,-6106,-6326,-6542,-6751,-6956,-7162,-7361,-7552,-7725,-7893,-8045,-8184,
-8303,-8404,-8487,-8540,-8554,-8518,-8429,-8277,-8046,-7721,-7292,-6757,-6109,-5351,-4504,-3592,-2633,-1653,-683,261,
1148,1962,2683,3297,3800,4189,4466,4634,4706,4691,4598,4435,4215,3947,3642,3303,2937,2554,2163,1763,
1360,961,569,181,-202,-577,-941,-1297,-1644,-1982,-2307,-2619,-2916,-3203,-3470,-3713,-3929,-4120,-4274,-4385,
-4449,-4456,-4406,-4299,-4116,-3831,-3432,-2920,-2284,-1538,-683,266,1282,2344,3427,4507,5567,6574,7506,8341,
9055,9627,10047,10319,10459,10480,10402,10242,10018,9750,9446,9113,8768,8413,8052,7688,7321,6954,6590,6227,
5866,5513,5165,4826,4490,4156,3833,3520,3214,2915,2628,2349,2080,1817,1560,1317,1079,849,624,408,
201,-5,-208,-410,-605,-800,-991,-1183,-1371,-1560,-1750,-1937,-2123,-2310,-2500,-2688,-2881,-3073,-3268,-3465,
-3667,-3866,-4068,-4269,-4475,-4689,-4901,-5112,-5328,-5544,-5757,-5968,-6177,-6386,-6596,-6794,-6986,-7170,-7344,-7507,
-7654,-7785,-7906,-8007,-8083,-8134,-8152,-8133,-8064,-7940,-7752,-7483,-7119,-6648,-6071,-5395,-4629,-3784,-2883,-1953,
-1013,-86,805,1631,2373,3021,3562,3996,4325,4552,4680,4723,4684,4576,4409,4187,3924,3627,3298,2950,
2582,2206,1824,1434,1042,649,263,-117,-494,-861,-1212,-1556,-1889,-2213,-2523,-2816,-3091,-3343,-3574,-3774,
-3940,-4071,-4161,-4201,-4194,-4136,-4002,-3768,-3425,-2958,-2375,-1669,-849,70,1072,2132,3225,4329,5417,6469,
7454,8344,9111,9738,10219,10547,10732,10791,10745,10610,10402,10143,9847,9528,9187,8835,8471,8104,7729,7351,
6968,6594,6223,5856,5492,5137,4789,4448,4117,3793,3484,3184,2891,2607,2331,2063,1804,1548,1305,1066,
835,607,383,166,-47,-257,-460,-660,-857,-1050,-1243,-1433,-1621,-1807,-1995,-2180,-2364,-2551,-2742,-2938,
-3136,-3337,-3539,-3744,-3957,-4169,-4381,-4602,-4820,-5042,-5260,-5478,-5698,-5918,-6134,-6349,-6563,-6772,-6975,-7169,
-7356,-7537,-7710,-7871,-8015,-8143,-8255,-8339,-8395,-8418,-8412,-8358,-8244,-8057,-7787,-7417,-6940,-6348,-5655,-4863,
-3997,-3060,-2088,-1101,-127,810,1679,2466,3151,3727,4193,4544,4789,4929,4973,4935,4820,4641,4405,4122,
3807,3462,3099,2716,2327,1934,1540,1146,754,370,-4,-374,-738,-1090,-1433,-1770,-2094,-2408,-2708,-2991,
-3259,-3508,-3732,-3928,-4087,-4207,-4277,-4292,-4245,-4142,-3973,-3720,-3356,-2871,-2270,-1553,-730,190,1185,2232,
3307,4388,5445,6458,7401,8248,8978,9573,10025,10334,10497,10538,10476,10333,10121,9863,9572,9255,8918,8563,
8203,7840,7475,7110,6745,6384,6022,5665,5307,4956,4617,4281,3951,3632,3321,3017,2723,2433,2157,1892,
1633,1382,1140,905,677,453,236,22,-182,-391,-595,-797,-996,-1197,-1396,-1590,-1782,-1974,-2167,-2360,
-2555,-2749,-2946,-3145,-3341,-3541,-3740,-3949,-4158,-4368,-4582,-4797,-5015,-5236,-5453,-5675,-5896,-6118,-6334,-6546,
-6753,-6958,-7154,-7340,-7521,-7689,-7846,-7983,-8102,-8207,-8293,-8353,-8384,-8381,-8337,-8239,-8072,-7826,-7498,-7067,
-6531,-5888,-5146,-4321,-3427,-2489,-1534,-589,322,1182,1966,2662,3256,3743,4117,4391,4563,4642,4637,4558,
4416,4220,3975,3691,3375,3036,2673,2295,1911,1520,1129,740,353,-28,-398,-761,-1116,-1460,-1789,-2106,
-2409,-2695,-2962,-3208,-3431,-3627,-3790,-3917,-3998,-4033,-4014,-3946,-3812,-3589,-3259,-2812,-2248,-1568,-779,111,
1077,2103,3165,4236,5292,6314,7270,8143,8907,9539,10031,10375,10581,10662,10635,10524,10346,10115,9841,9538,
9214,8873,8522,8161,7799,7438,7070,6702,6337,5979,5625,5273,4933,4599,4272,3955,3643,3340,3048,2763,
2484,2215,1950,1696,1447,1200,962,731,506,285,68,-142,-348,-552,-754,-950,-1145,-1336,-1527,-1717,
-1906,-2095,-2288,-2480,-2675,-2873,-3073,-3281,-3488,-3700,-3912,-4128,-4346,-4563,-4782,-5003,-5225,-5450,-5668,-5887,
-6104,-6319,-6531,-6736,-6940,-7141,-7330,-7509,-7674,-7831,-7970,-8091,-8193,-8277,-8330,-8347,-8320,-8243,-8107,-7900,
-7601,-7208,-6708,-6098,-5379,-4566,-3678,-2736,-1762,-785,174,1090,1940,2699,3357,3904,4336,4662,4874,4990,
5016,4956,4826,4630,4385,4099,3777,3428,3062,2684,2298,1907,1515,1128,743,362,-15,-383,-743,-1092,
-1433,-1767,-2086,-2397,-2699,-2984,-3251,-3493,-3713,-3903,-4057,-4171,-4235,-4247,-4197,-4083,-3907,-3650,-3292,-2816,
-2221,-1507,-687,233,1224,2267,3337,4415,5473,6489,7438,8293,9026,9621,10070,10376,10546,10595,10538,10401,
10196,9942,9649,9335,9001,8660,8306,7945,7581,7216,6847,6479,6116,5756,5402,5049,4700,4359,4026,3702,
3382,3076,2779,2490,2209,1937,1674,1420,1174,934,702,476,253,32,-184,-395,-604,-811,-1016,-1219,
-1420,-1623,-1822,-2019,-2212,-2409,-2602,-2800,-2999,-3201,-3403,-3609,-3815,-4024,-4238,-4455,-4675,-4899,-5122,-5349,
-5580,-5805,-6030,-6256,-6480,-6703,-6917,-7126,-7327,-7523,-7702,-7873,-8034,-8182,-8314,-8427,-8516,-8586,-8625,-8630,
-8594,-8509,-8366,-8142,-7822,-7399,-6870,-6228,-5485,-4652,-3757,-2808,-1840,-869,73,963,1777,2499,3119,3624,
4026,4319,4508,4605,4615,4549,4412,4218,3975,3692,3371,3027,2664,2288,1901,1505,1113,723,339,-43,
-413,-772,-1121,-1461,-1786,-2100,-2394,-2675,-2938,-3182,-3401,-3598,-3765,-3897,-3983,-4023,-4005,-3925,-3783,-3579,
-3285,-2884,-2367,-1736,-992,-150,776,1762,2785,3828,4865,5873,6828,7704,8479,9137,9662,10052,10305,10433,
10452,10376,10225,10018,9768,9488,9183,8859,8521,8178,7823,7465,7109,6754,6401,6051,5705,5364,5026,4694,
4372,4057,3750,3451,3154,2868,2588,2316,2047,1786,1536,1292,1050,815,588,366,150,-64,-273,-475,
-676,-876,-1073,-1271,-1463,-1656,-1850,-2044,-2239,-2438,-2640,-2844,-3050,-3256,-3469,-3681,-3897,-4114,-4335,-4556,
-4779,-5001,-5223,-5447,-5670,-5892,-6113,-6330,-6547,-6758,-6963,-7161,-7351,-7534,-7704,-7862,-8002,-8127,-8227,-8303,
-8350,-8371,-8353,-8281,-8152,-7951,-7666,-7280,-6791,-6196,-5499,-4709,-3835,-2906,-1941,-970,-12,904,1754,2517,
3185,3745,4194,4532,4763,4894,4930,4885,4767,4588,4354,4081,3773,3439,3082,2714,2335,1950,1562,1175,
790,414,41,-327,-684,-1034,-1374,-1706,-2028,-2333,-2624,-2900,-3156,-3388,-3593,-3766,-3901,-3992,-4036,-4024,
-3946,-3804,-3599,-3311,-2917,-2414,-1790,-1059,-218,703,1695,2730,3781,4834,5859,6835,7731,8528,9203,9746,
10142,10396,10522,10534,10457,10303,10094,9841,9554,9247,8921,8579,8235,7883,7528,7168,6809,6450,6091,5731,
5379,5033,4691,4353,4025,3705,3393,3086,2791,2507,2231,1965,1703,1449,1202,964,728,499,276,53,
-165,-381,-594,-802,-1011,-1218,-1421,-1622,-1823,-2025,-2220,-2420,-2618,-2818,-3017,-3222,-3427,-3638,-3849,-4066,
-4284,-4506,-4730,-4960,-5190,-5424,-5654,-5889,-6122,-6351,-6576,-6799,-7016,-7229,-7433,-7629,-7817,-7994,-8156,-8302,
-8434,-8552,-8650,-8720,-8765,-8776,-8743,-8658,-8507,-8281,-7967,-7546,-7012,-6364,-5610,-4762,-3840,-2870,-1877,-889,
75,985,1822,2565,3202,3729,4141,4444,4644,4745,4755,4690,4554,4358,4106,3815,3492,3140,2768,2386,
1995,1601,1207,811,425,47,-327,-686,-1036,-1370,-1692,-2002,-2301,-2582,-2849,-3097,-3324,-3523,-3693,-3829,
-3926,-3976,-3972,-3903,-3766,-3554,-3272,-2905,-2435,-1853,-1158,-361,523,1472,2464,3475,4487,5476,6428,7308,
8104,8782,9338,9760,10048,10209,10263,10221,10103,9922,9690,9422,9130,8819,8490,8158,7819,7472,7121,6771,
6422,6077,5735,5397,5064,4738,4415,4100,3786,3484,3188,2899,2615,2341,2072,1807,1552,1303,1063,830,
601,377,161,-53,-264,-469,-673,-872,-1070,-1268,-1466,-1661,-1857,-2054,-2254,-2450,-2652,-2857,-3062,-3271,
-3482,-3693,-3911,-4126,-4344,-4564,-4784,-5009,-5232,-5455,-5678,-5902,-6124,-6343,-6562,-6777,-6985,-7190,-7381,-7564,
-7736,-7896,-8038,-8165,-8273,-8359,-8416,-8438,-8424,-8368,-8253,-8075,-7813,-7460,-7001,-6431,-5753,-4977,-4118,-3199,
-2236,-1259,-293,641,1518,2313,3010,3599,4079,4442,4700,4854,4917,4892,4792,4633,4415,4152,3851,3522,
3172,2805,2423,2040,1651,1264,875,491,114,-256,-619,-972,-1318,-1648,-1968,-2274,-2564,-2832,-3083,-3306,
-3503,-3668,-3794,-3879,-3916,-3893,-3806,-3647,-3421,-3122,-2730,-2234,-1619,-898,-76,828,1796,2802,3828,4851,
5847,6790,7658,8426,9073,9584,9963,10206,10327,10338,10265,10114,9906,9659,9381,9081,8768,8438,8099,7754,
7403,7049,6694,6340,5991,5642,5292,4949,4610,4282,3956,3644,3335,3037,2751,2467,2194,1928,1670,1419,
1174,934,702,472,247,27,-189,-404,-615,-825,-1032,-1232,-1435,-1635,-1835,-2027,-2223,-2418,-2613,-2812,
-3015,-3218,-3425,-3635,-3845,-4061,-4283,-4504,-4732,-4962,-5192,-5425,-5657,-5888,-6119,-6347,-6573,-6796,-7014,-7221,
-7426,-7622,-7803,-7979,-8142,-8292,-8423,-8535,-8626,-8696,-8731,-8731,-8689,-8594,-8428,-8178,-7828,-7373,-6805,-6119,
-5328,-4452,-3501,-2506,-1486,-480,494,1404,2239,2972,3597,4108,4506,4796,4978,5060,5057,4968,4812,4598,
4337,4033,3696,3337,2962,2573,2174,1777,1378,986,599,222,-147,-503,-851,-1188,-1511,-1824,-2123,-2409,
-2678,-2928,-3161,-3368,-3546,-3693,-3798,-3860,-3868,-3819,-3701,-3505,-3229,-2868,-2421,-1880,-1238,-485,354,1267,
2233,3227,4230,5215,6165,7058,7868,8577,9164,9623,9953,10156,10241,10225,10130,9968,9758,9506,9226,8923,
8605,8276,7939,7597,7256,6912,6567,6225,5884,5548,5214,4885,4564,4246,3936,3627,3327,3035,2749,2468,
2196,1932,1676,1425,1178,940,710,482,262,47,-167,-377,-585,-791,-994,-1200,-1400,-1602,-1805,-2006,
-2208,-2415,-2620,-2830,-3040,-3250,-3465,-3684,-3902,-4125,-4348,-4573,-4800,-5026,-5256,-5486,-5719,-5950,-6183,-6411,
-6636,-6857,-7070,-7282,-7485,-7676,-7858,-8022,-8172,-8307,-8416,-8508,-8577,-8615,-8618,-8575,-8479,-8318,-8078,-7741,
-7305,-6757,-6101,-5338,-4483,-3560,-2592,-1603,-616,339,1240,2062,2790,3412,3920,4315,4599,4779,4861,4858,
4776,4628,4425,4171,3878,3553,3204,2838,2460,2073,1682,1292,901,517,133,-243,-607,-963,-1307,-1638,
-1955,-2254,-2538,-2804,-3049,-3270,-3460,-3618,-3741,-3818,-3851,-3827,-3738,-3585,-3353,-3038,-2646,-2164,-1582,-893,
-106,769,1701,2678,3672,4660,5625,6541,7387,8142,8784,9299,9678,9927,10062,10087,10031,9900,9712,9482,
9221,8933,8627,8309,7983,7648,7309,6966,6623,6275,5929,5584,5247,4911,4581,4257,3941,3634,3331,3035,
2749,2473,2203,1938,1680,1426,1181,941,705,476,252,28,-191,-408,-620,-830,-1037,-1243,-1441,-1638,
-1838,-2034,-2233,-2428,-2628,-2829,-3031,-3238,-3447,-3659,-3879,-4098,-4320,-4546,-4776,-5005,-5239,-5472,-5706,-5939,
-6172,-6400,-6626,-6848,-7066,-7277,-7480,-7676,-7865,-8038,-8199,-8347,-8480,-8593,-8684,-8748,-8784,-8778,-8728,-8616,
-8438,-8176,-7814,-7338,-6748,-6043,-5232,-4332,-3368,-2361,-1338,-326,651,1566,2399,3132,3757,4264,4657,4938,
5112,5185,5174,5082,4924,4704,4437,4130,3796,3432,3053,2665,2274,1876,1484,1093,711,339,-29,-385,
-727,-1060,-1380,-1691,-1987,-2269,-2534,-2783,-3010,-3212,-3386,-3526,-3627,-3681,-3682,-3622,-3495,-3293,-3009,-2637,
-2175,-1624,-981,-242,585,1486,2437,3413,4403,5379,6319,7201,7999,8698,9278,9725,10046,10246,10334,10322,
10227,10066,9854,9608,9330,9035,8722,8398,8066,7729,7385,7044,6704,6365,6024,5689,5356,5027,4698,4377,
4065,3757,3456,3158,2872,2590,2317,2049,1790,1538,1293,1056,818,591,370,147,-68,-282,-493,-705,
-912,-1121,-1327,-1535,-1739,-1944,-2150,-2359,-2567,-2781,-2994,-3210,-3428,-3646,-3869,-4091,-4322,-4550,-4783,-5020,
-5256,-5493,-5731,-5972,-6208,-6446,-6681,-6914,-7140,-7356,-7565,-7765,-7954,-8128,-8288,-8433,-8560,-8664,-8743,-8792,
-8814,-8793,-8722,-8589,-8381,-8083,-7678,-7157,-6525,-5785,-4947,-4029,-3056,-2053,-1044,-60,877,1737,2505,3169,
3719,4154,4478,4692,4808,4831,4774,4646,4455,4214,3929,3611,3268,2902,2523,2134,1740,1343,946,554,
169,-208,-577,-933,-1271,-1603,-1917,-2216,-2495,-2755,-2995,-3209,-3396,-3550,-3666,-3744,-3773,-3749,-3664,-3512,
-3285,-2976,-2581,-2093,-1516,-849,-96,739,1633,2572,3532,4494,5435,6330,7157,7896,8530,9044,9435,9700,
9847,9892,9848,9734,9559,9348,9099,8829,8536,8226,7908,7581,7253,6916,6580,6244,5907,5572,5239,4910,
4588,4272,3961,3657,3363,3072,2791,2513,2241,1982,1725,1471,1227,988,751,519,291,71,-146,-363,
-575,-782,-987,-1193,-1394,-1592,-1789,-1986,-2182,-2379,-2580,-2781,-2987,-3194,-3406,-3622,-3842,-4062,-4289,-4517,
-4750,-4979,-5215,-5450,-5683,-5916,-6152,-6386,-6616,-6840,-7062,-7278,-7487,-7685,-7878,-8062,-8232,-8386,-8524,-8642,
-8739,-8808,-8848,-8852,-8814,-8716,-8546,-8291,-7941,-7478,-6902,-6210,-5412,-4526,-3567,-2560,-1536,-518,465,1391,
2236,2986,3625,4148,4556,4850,5037,5126,5123,5039,4885,4673,4410,4106,3770,3412,3035,2648,2253,1860,
1465,1078,695,320,-46,-404,-750,-1087,-1407,-1720,-2012,-2291,-2556,-2801,-3024,-3222,-3386,-3516,-3603,-3646,
-3631,-3557,-3416,-3197,-2899,-2513,-2038,-1471,-812,-67,755,1646,2583,3544,4515,5467,6382,7238,8014,8687,
9241,9670,9973,10152,10225,10202,10103,9945,9737,9493,9222,8929,8622,8304,7984,7654,7323,6991,6654,6323,
5987,5657,5328,5004,4684,4370,4062,3757,3459,3168,2885,2608,2342,2078,1824,1575,1333,1096,868,640,
419,202,-14,-229,-442,-653,-860,-1070,-1277,-1482,-1688,-1895,-2102,-2309,-2519,-2729,-2942,-3160,-3379,-3599,
-3823,-4051,-4282,-4517,-4751,-4991,-5233,-5477,-5724,-5969,-6215,-6457,-6697,-6934,-7164,-7390,-7607,-7812,-8006,-8188,
-8356,-8506,-8638,-8752,-8843,-8907,-8934,-8921,-8865,-8743,-8544,-8253,-7860,-7348,-6713,-5965,-5117,-4184,-3192,-2167,
-1141,-134,826,1714,2508,3198,3772,4229,4565,4798,4924,4956,4905,4782,4593,4354,4068,3745,3398,3025,
2641,2243,1840,1438,1039,640,251,-128,-498,-857,-1202,-1532,-1845,-2144,-2424,-2684,-2921,-3134,-3322,-3480,
-3601,-3682,-3718,-3700,-3623,-3482,-3264,-2968,-2587,-2117,-1554,-903,-167,644,1515,2428,3366,4309,5233,6121,
6947,7691,8335,8864,9268,9556,9728,9799,9778,9686,9532,9330,9092,8828,8543,8247,7937,7617,7293,6964,
6631,6301,5971,5646,5320,4999,4681,4371,4064,3766,3470,3184,2905,2632,2363,2099,1843,1592,1345,1104,
869,638,411,187,-32,-245,-456,-664,-871,-1075,-1279,-1478,-1678,-1876,-2074,-2275,-2476,-2682,-2890,-3105,
-3319,-3540,-3760,-3986,-4213,-4445,-4677,-4913,-5150,-5387,-5627,-5865,-6100,-6336,-6570,-6804,-7030,-7254,-7471,-7682,
-7882,-8070,-8247,-8412,-8559,-8692,-8795,-8878,-8928,-8941,-8912,-8828,-8679,-8446,-8114,-7672,-7117,-6439,-5657,-4777,
-3828,-2823,-1798,-770,230,1175,2044,2814,3476,4022,4451,4766,4971,5074,5086,5017,4870,4663,4408,4106,
3774,3415,3042,2658,2266,1867,1474,1080,695,314,-57,-416,-767,-1106,-1431,-1744,-2041,-2322,-2586,-2830,
-3045,-3238,-3399,-3522,-3601,-3634,-3609,-3527,-3374,-3152,-2847,-2458,-1978,-1410,-750,-8,806,1680,2597,3540,
4493,5425,6322,7155,7908,8559,9093,9508,9798,9971,10037,10016,9911,9751,9544,9303,9036,8751,8452,8140,
7821,7498,7171,6841,6512,6184,5854,5529,5205,4881,4566,4255,3949,3651,3357,3073,2794,2521,2257,1999,
1750,1505,1266,1033,806,582,361,140,-73,-283,-495,-704,-912,-1121,-1324,-1532,-1733,-1938,-2141,-2346,
-2553,-2762,-2972,-3187,-3401,-3620,-3843,-4073,-4300,-4537,-4774,-5012,-5255,-5499,-5742,-5990,-6235,-6477,-6721,-6956,
-7186,-7410,-7625,-7833,-8025,-8209,-8377,-8531,-8665,-8778,-8870,-8934,-8967,-8958,-8900,-8779,-8583,-8291,-7890,-7369,
-6735,-5977,-5121,-4179,-3178,-2141,-1101,-80,888,1787,2591,3292,3874,4340,4689,4924,5056,5097,5052,4930,
4746,4503,4219,3899,3545,3172,2786,2385,1985,1580,1178,782,396,16,-351,-707,-1049,-1378,-1689,-1983,
-2257,-2515,-2751,-2964,-3152,-3309,-3432,-3513,-3549,-3533,-3459,-3323,-3109,-2821,-2447,-1987,-1436,-797,-77,717,
1572,2471,3394,4325,5239,6119,6939,7681,8328,8866,9287,9589,9778,9860,9853,9770,9625,9432,9207,8950,
8669,8372,8064,7751,7429,7102,6776,6449,6124,5797,5473,5158,4842,4534,4231,3933,3640,3354,3072,2798,
2529,2266,2007,1754,1508,1267,1030,799,573,352,133,-83,-293,-500,-709,-912,-1117,-1316,-1514,-1717,
-1917,-2119,-2323,-2532,-2742,-2955,-3174,-3393,-3616,-3846,-4074,-4306,-4538,-4775,-5014,-5254,-5494,-5735,-5977,-6218,
-6457,-6693,-6926,-7158,-7379,-7598,-7807,-8006,-8189,-8362,-8515,-8653,-8770,-8862,-8922,-8954,-8939,-8868,-8738,-8528,
-8225,-7812,-7284,-6639,-5879,-5018,-4077,-3079,-2050,-1017,-7,957,1847,2645,3338,3913,4372,4713,4945,5071,
5099,5044,4913,4721,4473,4180,3857,3506,3135,2750,2355,1959,1560,1167,774,392,14,-349,-706,-1047,
-1377,-1692,-1991,-2273,-2537,-2779,-2995,-3182,-3338,-3453,-3531,-3560,-3533,-3447,-3294,-3070,-2768,-2381,-1908,-1350,
-703,21,818,1673,2568,3485,4407,5318,6188,7003,7735,8369,8892,9296,9577,9746,9814,9790,9694,9540,
9337,9102,8840,8557,8262,7957,7644,7325,7000,6674,6346,6021,5697,5372,5052,4736,4422,4115,3812,3516,
3226,2946,2669,2401,2142,1885,1637,1395,1156,925,695,474,253,36,-181,-393,-604,-813,-1024,-1228,
-1433,-1636,-1840,-2044,-2244,-2449,-2655,-2862,-3071,-3287,-3502,-3722,-3947,-4174,-4405,-4639,-4880,-5120,-5365,-5610,
-5857,-6103,-6347,-6592,-6832,-7069,-7301,-7527,-7742,-7946,-8142,-8325,-8494,-8649,-8785,-8905,-8999,-9063,-9093,-9086,
-9024,-8899,-8695,-8393,-7984,-7449,-6795,-6024,-5150,-4195,-3181,-2135,-1086,-60,919,1824,2635,3335,3919,4386,
4735,4972,5108,5145,5102,4980,4792,4551,4261,3937,3584,3212,2820,2423,2022,1619,1216,820,434,57,
-312,-664,-1003,-1328,-1635,-1928,-2202,-2459,-2696,-2908,-3096,-3252,-3376,-3459,-3495,-3480,-3406,-3266,-3056,-2766,
-2395,-1938,-1390,-756,-37,750,1600,2490,3408,4329,5238,6116,6936,7679,8327,8869,9295,9604,9799,9891,
9890,9811,9672,9479,9252,8997,8719,8424,8119,7804,7486,7161,6835,6510,6186,5866,5546,5229,4918,4610,
4308,4012,3718,3432,3152,2878,2607,2344,2086,1832,1586,1345,1110,879,653,432,215,3,-210,-418,
-625,-828,-1033,-1234,-1436,-1638,-1840,-2046,-2252,-2460,-2673,-2887,-3106,-3327,-3551,-3777,-4007,-4240,-4476,-4711,
-4951,-5193,-5437,-5680,-5926,-6171,-6415,-6655,-6896,-7132,-7360,-7584,-7798,-8001,-8194,-8374,-8536,-8680,-8801,-8901,
-8972,-9008,-9004,-8954,-8835,-8637,-8349,-7949,-7433,-6794,-6037,-5181,-4240,-3231,-2193,-1142,-115,870,1781,2605,
3319,3914,4393,4747,4991,5130,5170,5123,5001,4812,4570,4282,3955,3602,3230,2842,2445,2042,1642,1241,
843,455,75,-297,-658,-1004,-1338,-1658,-1960,-2245,-2508,-2748,-2962,-3150,-3304,-3422,-3495,-3524,-3498,-3412,
-3263,-3039,-2740,-2361,-1892,-1339,-702,19,803,1649,2537,3447,4366,5268,6131,6940,7666,8299,8823,9228,
9518,9692,9763,9742,9647,9495,9299,9065,8804,8526,8232,7924,7610,7291,6968,6646,6320,5992,5668,5346,
5025,4708,4398,4092,3794,3499,3212,2933,2659,2392,2134,1880,1633,1389,1152,919,692,466,245,28,
-187,-399,-612,-822,-1028,-1234,-1438,-1639,-1838,-2039,-2240,-2444,-2649,-2855,-3066,-3277,-3495,-3711,-3937,-4168,
-4401,-4635,-4874,-5116,-5358,-5604,-5850,-6100,-6342,-6586,-6828,-7064,-7298,-7522,-7742,-7952,-8154,-8341,-8515,-8678,
-8819,-8942,-9045,-9124,-9166,-9168,-9120,-9012,-8823,-8541,-8153,-7646,-7018,-6268,-5414,-4476,-3469,-2428,-1379,-344,
642,1563,2394,3119,3733,4227,4602,4865,5022,5081,5052,4945,4769,4538,4258,3940,3593,3221,2835,2437,
2034,1631,1230,837,449,70,-296,-648,-988,-1313,-1620,-1914,-2190,-2448,-2680,-2891,-3075,-3226,-3340,-3415,
-3443,-3417,-3332,-3180,-2956,-2650,-2263,-1789,-1230,-584,140,935,1782,2673,3583,4495,5393,6252,7053,7778,
8409,8932,9337,9627,9802,9876,9859,9770,9622,9427,9194,8932,8652,8357,8050,7738,7419,7098,6775,6455,
6129,5809,5491,5180,4872,4565,4265,3969,3678,3394,3114,2841,2575,2311,2057,1808,1564,1324,1091,864,
641,424,207,-4,-212,-418,-626,-830,-1033,-1235,-1435,-1637,-1843,-2045,-2251,-2460,-2671,-2885,-3101,-3320,
-3543,-3771,-3998,-4230,-4465,-4701,-4942,-5183,-5430,-5676,-5923,-6171,-6419,-6664,-6906,-7144,-7379,-7607,-7826,-8034,
-8230,-8410,-8581,-8728,-8856,-8963,-9041,-9088,-9094,-9052,-8950,-8771,-8504,-8123,-7624,-7006,-6266,-5421,-4482,-3480,
-2436,-1381,-337,663,1595,2440,3177,3797,4299,4678,4943,5100,5158,5127,5019,4844,4610,4330,4012,3666,
3295,2909,2513,2109,1708,1304,908,513,126,-249,-610,-960,-1294,-1612,-1912,-2196,-2457,-2695,-2909,-3092,
-3246,-3356,-3430,-3454,-3429,-3341,-3190,-2970,-2671,-2290,-1826,-1276,-642,73,857,1698,2579,3483,4391,5287,
6145,6945,7668,8298,8818,9223,9511,9689,9763,9748,9657,9508,9311,9081,8822,8543,8252,7947,7635,7317,
6994,6671,6347,6021,5700,5379,5061,4749,4441,4137,3844,3553,3270,2993,2721,2457,2201,1946,1701,1458,
1223,993,764,540,320,102,-113,-323,-535,-744,-947,-1152,-1350,-1552,-1752,-1952,-2151,-2352,-2557,-2761,
-2971,-3183,-3401,-3623,-3847,-4074,-4306,-4543,-4781,-5022,-5268,-5511,-5758,-6004,-6249,-6494,-6735,-6974,-7210,-7438,
-7657,-7871,-8075,-8270,-8451,-8618,-8771,-8901,-9011,-9094,-9148,-9163,-9129,-9036,-8874,-8616,-8253,-7771,-7169,-6447,
-5617,-4696,-3708,-2676,-1628,-589,412,1348,2203,2959,3599,4120,4526,4816,5000,5080,5071,4979,4821,4599,
4331,4019,3678,3311,2927,2533,2132,1728,1327,933,544,164,-202,-558,-898,-1225,-1538,-1834,-2109,-2365,
-2599,-2807,-2988,-3135,-3247,-3315,-3335,-3299,-3203,-3040,-2802,-2488,-2088,-1605,-1036,-383,341,1132,1975,2856,
3755,4656,5540,6382,7163,7867,8472,8973,9359,9630,9793,9850,9821,9720,9563,9360,9124,8861,8580,8287,
7977,7663,7345,7025,6703,6382,6063,5746,5429,5116,4806,4502,4200,3908,3618,3334,3054,2782,2515,2256,
2001,1751,1509,1273,1042,816,593,376,163,-52,-258,-467,-673,-877,-1082,-1285,-1485,-1690,-1892,-2095,
-2301,-2508,-2717,-2932,-3147,-3366,-3588,-3811,-4037,-4271,-4506,-4743,-4981,-5225,-5469,-5717,-5965,-6214,-6465,-6708,
-6952,-7192,-7426,-7653,-7873,-8082,-8281,-8464,-8632,-8780,-8911,-9018,-9097,-9146,-9155,-9115,-9013,-8833,-8560,-8176,
-7674,-7048,-6302,-5447,-4500,-3485,-2433,-1365,-314,697,1636,2485,3225,3851,4353,4735,5003,5161,5220,5189,
5081,4907,4672,4391,4074,3725,3352,2966,2566,2161,1752,1347,945,552,165,-214,-580,-929,-1264,-1585,
-1883,-2169,-2432,-2670,-2885,-3072,-3225,-3341,-3417,-3445,-3423,-3343,-3201,-2984,-2690,-2318,-1860,-1316,-687,21,
801,1638,2521,3428,4339,5239,6101,6910,7644,8283,8820,9242,9542,9731,9816,9807,9726,9581,9389,9162,
8901,8623,8329,8024,7708,7388,7063,6738,6410,6084,5759,5439,5121,4810,4503,4201,3903,3616,3331,3054,
2783,2520,2261,2008,1761,1519,1283,1047,821,596,374,157,-57,-269,-478,-683,-888,-1089,-1291,-1489,
-1685,-1887,-2083,-2284,-2488,-2694,-2905,-3117,-3335,-3554,-3781,-4009,-4241,-4478,-4714,-4956,-5200,-5443,-5689,-5934,
-6181,-6426,-6669,-6910,-7145,-7375,-7603,-7819,-8030,-8229,-8414,-8589,-8741,-8882,-8998,-9088,-9150,-9171,-9147,-9062,
-8903,-8657,-8308,-7839,-7249,-6536,-5717,-4804,-3817,-2785,-1736,-690,320,1271,2139,2907,3565,4102,4517,4820,
5014,5107,5105,5018,4864,4650,4380,4071,3728,3363,2978,2580,2181,1778,1375,981,588,207,-166,-526,
-874,-1207,-1522,-1820,-2103,-2364,-2604,-2818,-3000,-3153,-3265,-3335,-3359,-3327,-3231,-3072,-2838,-2529,-2132,-1656,
-1092,-449,272,1061,1898,2776,3675,4574,5456,6298,7086,7794,8410,8919,9311,9589,9751,9815,9788,9693,
9534,9330,9092,8824,8540,8244,7934,7621,7302,6979,6655,6333,6010,5691,5374,5060,4748,4444,4141,3843,
3552,3268,2990,2718,2451,2190,1936,1691,1447,1211,984,757,537,318,102,-108,-319,-524,-731,-935,
-1138,-1340,-1542,-1742,-1945,-2148,-2351,-2557,-2765,-2976,-3191,-3407,-3626,-3849,-4075,-4303,-4537,-4775,-5013,-5256,
-5502,-5747,-5995,-6242,-6491,-6736,-6982,-7220,-7456,-7684,-7900,-8108,-8304,-8488,-8659,-8809,-8943,-9052,-9136,-9186,
-9200,-9163,-9066,-8896,-8629,-8254,-7761,-7142,-6403,-5555,-4618,-3610,-2563,-1499,-451,559,1502,2355,3103,3734,
4247,4638,4916,5082,5154,5134,5035,4865,4642,4366,4051,3706,3338,2954,2554,2145,1740,1333,930,533,
147,-231,-592,-945,-1282,-1600,-1902,-2186,-2447,-2684,-2896,-3080,-3234,-3350,-3425,-3454,-3429,-3348,-3201,-2982,
-2688,-2308,-1845,-1295,-659,59,844,1687,2572,3483,4398,5300,6166,6975,7707,8345,8876,9296,9597,9785,
9865,9857,9770,9623,9426,9193,8934,8650,8355,8046,7727,7405,7078,6748,6423,6095,5772,5452,5134,4822,
4514,4214,3918,3631,3346,3071,2800,2536,2279,2024,1778,1534,1296,1064,834,611,391,173,-40,-248,
-456,-661,-865,-1065,-1266,-1464,-1663,-1860,-2059,-2260,-2464,-2671,-2879,-3093,-3311,-3531,-3755,-3984,-4212,-4447,
-4686,-4922,-5167,-5409,-5653,-5898,-6142,-6386,-6631,-6869,-7110,-7340,-7566,-7788,-7998,-8199,-8392,-8567,-8726,-8868,
-8987,-9081,-9147,-9173,-9158,-9082,-8936,-8701,-8362,-7911,-7336,-6641,-5834,-4931,-3955,-2928,-1875,-828,188,1150,
2028,2811,3483,4036,4471,4791,4994,5099,5109,5035,4887,4675,4411,4110,3771,3409,3025,2633,2233,1828,
1423,1024,632,244,-130,-493,-845,-1180,-1500,-1804,-2092,-2357,-2594,-2809,-2997,-3151,-3262,-3334,-3354,-3318,
-3223,-3063,-2828,-2517,-2125,-1647,-1080,-437,285,1071,1913,2791,3689,4588,5473,6316,7104,7813,8428,8942,
9333,9610,9774,9835,9807,9706,9544,9338,9097,8830,8542,8242,7933,7617,7295,6973,6645,6321,5997,5675,
5355,5041,4726,4419,4115,3818,3528,3243,2963,2692,2426,2168,1915,1668,1430,1195,966,741,520,305,
92,-123,-329,-535,-742,-947,-1149,-1349,-1551,-1748,-1949,-2149,-2350,-2555,-2758,-2966,-3176,-3390,-3608,-3827,
-4053,-4280,-4510,-4745,-4981,-5223,-5466,-5713,-5958,-6206,-6454,-6697,-6939,-7176,-7410,-7637,-7855,-8065,-8261,-8448,
-8620,-8773,-8908,-9024,-9116,-9178,-9203,-9179,-9098,-8946,-8706,-8361,-7898,-7314,-6604,-5786,-4872,-3886,-2851,-1795,
-747,267,1222,2097,2868,3531,4074,4493,4800,4999,5094,5100,5023,4873,4665,4402,4098,3763,3398,3014,
2619,2217,1807,1401,996,603,213,-166,-532,-885,-1219,-1540,-1839,-2121,-2382,-2620,-2830,-3015,-3162,-3275,
-3345,-3367,-3333,-3240,-3079,-2848,-2534,-2139,-1659,-1090,-437,295,1097,1950,2845,3758,4672,5568,6426,7221,
7941,8559,9073,9468,9745,9907,9970,9942,9840,9679,9469,9228,8959,8666,8364,8047,7727,7400,7071,6741,
6411,6084,5758,5436,5121,4806,4501,4199,3903,3616,3333,3056,2783,2520,2261,2008,1759,1517,1279,1047,
819,597,379,162,-49,-259,-465,-668,-872,-1071,-1267,-1466,-1664,-1861,-2062,-2261,-2462,-2671,-2879,-3094,
-3309,-3529,-3751,-3981,-4208,-4443,-4677,-4916,-5156,-5401,-5642,-5886,-6132,-6376,-6620,-6862,-7100,-7338,-7566,-7787,
-8002,-8207,-8397,-8576,-8739,-8883,-9007,-9105,-9172,-9203,-9191,-9121,-8978,-8753,-8422,-7977,-7410,-6719,-5919,-5016,
-4037,-3009,-1954,-901,126,1097,1987,2783,3465,4032,4473,4800,5014,5124,5137,5067,4922,4717,4455,4153,
3817,3453,3071,2679,2275,1870,1463,1061,664,276,-106,-475,-828,-1168,-1494,-1803,-2094,-2363,-2610,-2828,
-3019,-3171,-3292,-3366,-3393,-3364,-3276,-3122,-2895,-2589,-2202,-1732,-1173,-531,191,976,1820,2704,3607,4522,
5416,6276,7080,7808,8442,8968,9377,9668,9844,9918,9897,9799,9645,9436,9196,8928,8640,8338,8025,7705,
7384,7055,6726,6398,6068,5745,5422,5104,4787,4478,4174,3873,3582,3296,3017,2744,2478,2219,1965,1720,
1477,1244,1014,790,566,348,130,-79,-290,-496,-702,-907,-1110,-1313,-1512,-1711,-1910,-2111,-2309,-2511,
-2716,-2920,-3132,-3344,-3560,-3781,-4004,-4231,-4462,-4696,-4932,-5176,-5417,-5663,-5908,-6155,-6401,-6645,-6887,-7124,
-7356,-7584,-7801,-8012,-8212,-8401,-8574,-8734,-8876,-8997,-9096,-9164,-9201,-9191,-9125,-8990,-8770,-8449,-8013,-7453,
-6774,-5981,-5090,-4121,-3101,-2053,-1007,11,978,1866,2659,3343,3913,4360,4694,4917,5036,5063,5005,4873,
4676,4427,4132,3802,3447,3067,2673,2273,1865,1460,1053,656,265,-114,-481,-834,-1172,-1493,-1794,-2079,
-2339,-2580,-2795,-2976,-3128,-3241,-3312,-3331,-3296,-3201,-3038,-2800,-2484,-2082,-1594,-1018,-359,384,1187,2049,
2948,3862,4781,5679,6535,7332,8048,8667,9177,9567,9840,9998,10052,10018,9911,9741,9528,9278,9002,8705,
8397,8079,7752,7421,7089,6759,6425,6097,5770,5447,5128,4812,4503,4201,3905,3614,3327,3049,2776,2508,
2248,1993,1743,1499,1259,1027,800,575,356,140,-72,-280,-488,-693,-895,-1095,-1296,-1494,-1693,-1890,
-2092,-2293,-2498,-2704,-2914,-3127,-3344,-3563,-3783,-4010,-4239,-4470,-4707,-4944,-5180,-5420,-5666,-5909,-6154,-6400,
-6645,-6885,-7125,-7361,-7588,-7814,-8028,-8232,-8426,-8602,-8766,-8907,-9030,-9129,-9197,-9230,-9215,-9147,-9007,-8781,
-8451,-8011,-7446,-6762,-5966,-5072,-4099,-3075,-2025,-977,45,1013,1903,2697,3381,3945,4389,4716,4932,5043,
5059,4993,4852,4652,4397,4096,3762,3401,3024,2630,2229,1822,1418,1015,616,227,-154,-524,-882,-1226,
-1552,-1864,-2154,-2425,-2671,-2891,-3085,-3240,-3360,-3437,-3462,-3439,-3351,-3198,-2974,-2670,-2284,-1811,-1256,-609,
112,907,1757,2651,3567,4489,5397,6270,7085,7827,8473,9010,9430,9729,9915,9989,9972,9879,9723,9517,
9277,9007,8717,8411,8096,7773,7446,7117,6786,6454,6123,5795,5468,5146,4830,4516,4210,3911,3617,3330,
3050,2776,2512,2249,1998,1749,1508,1273,1039,812,591,370,154,-59,-269,-479,-687,-891,-1095,-1296,
-1496,-1694,-1893,-2091,-2290,-2492,-2695,-2900,-3112,-3321,-3539,-3759,-3982,-4210,-4441,-4674,-4914,-5154,-5397,-5641,
-5885,-6131,-6376,-6619,-6859,-7095,-7330,-7556,-7778,-7990,-8192,-8380,-8559,-8720,-8867,-8994,-9099,-9174,-9218,-9218,
-9164,-9043,-8841,-8540,-8131,-7599,-6948,-6179,-5309,-4364,-3359,-2324,-1282,-262,708,1611,2423,3127,3720,4193,
4553,4800,4941,4988,4947,4832,4652,4416,4131,3809,3459,3084,2698,2296,1893,1488,1085,687,299,-83,
-450,-803,-1140,-1464,-1766,-2053,-2319,-2560,-2775,-2961,-3113,-3227,-3295,-3316,-3284,-3188,-3023,-2785,-2467,-2064,
-1573,-996,-333,408,1216,2078,2976,3896,4815,5715,6576,7374,8097,8721,9233,9627,9903,10063,10120,10084,
9975,9807,9589,9338,9060,8763,8450,8133,7804,7473,7139,6805,6474,6142,5816,5491,5171,4855,4546,4239,
3940,3649,3360,3080,2804,2537,2275,2019,1767,1522,1284,1050,819,597,377,160,-50,-260,-466,-673,
-879,-1079,-1281,-1483,-1680,-1881,-2082,-2286,-2491,-2700,-2908,-3122,-3340,-3558,-3781,-4004,-4233,-4463,-4698,-4933,
-5173,-5413,-5656,-5902,-6147,-6391,-6635,-6878,-7119,-7353,-7584,-7806,-8021,-8226,-8416,-8594,-8759,-8901,-9024,-9120,
-9190,-9223,-9211,-9143,-9007,-8784,-8463,-8028,-7472,-6798,-6012,-5126,-4167,-3153,-2110,-1069,-51,911,1800,2592,
3277,3843,4293,4626,4845,4965,4989,4930,4797,4599,4354,4060,3732,3376,3001,2612,2212,1808,1405,1001,
604,210,-171,-544,-901,-1248,-1574,-1887,-2176,-2448,-2697,-2920,-3112,-3269,-3390,-3467,-3498,-3471,-3389,-3234,
-3011,-2708,-2323,-1847,-1284,-636,95,897,1761,2665,3594,4531,5449,6338,7163,7914,8569,9114,9538,9843,
10029,10105,10089,9991,9832,9624,9376,9104,8811,8499,8180,7851,7520,7185,6848,6512,6179,5846,5516,5191,
4871,4553,4246,3941,3648,3359,3076,2801,2534,2273,2017,1765,1523,1286,1053,822,596,376,159,-57,
-268,-477,-684,-890,-1094,-1294,-1493,-1692,-1891,-2088,-2288,-2489,-2693,-2900,-3109,-3322,-3539,-3757,-3982,-4208,
-4440,-4675,-4912,-5150,-5394,-5634,-5880,-6123,-6367,-6609,-6851,-7088,-7320,-7546,-7768,-7982,-8185,-8379,-8558,-8725,
-8875,-9003,-9112,-9194,-9242,-9248,-9200,-9088,-8896,-8611,-8215,-7700,-7065,-6317,-5465,-4530,-3536,-2509,-1470,-450,
527,1435,2259,2979,3585,4073,4449,4711,4868,4926,4896,4789,4618,4386,4109,3791,3445,3073,2686,2290,
1887,1480,1078,680,290,-92,-458,-816,-1158,-1486,-1796,-2085,-2354,-2599,-2822,-3014,-3173,-3295,-3371,-3399,
-3371,-3283,-3127,-2895,-2584,-2189,-1706,-1134,-476,260,1066,1928,2833,3756,4685,5598,6471,7289,8027,8668,
9201,9617,9913,10089,10157,10129,10029,9861,9648,9399,9122,8825,8511,8190,7862,7526,7195,6859,6525,6194,
5862,5536,5213,4896,4583,4277,3974,3679,3390,3106,2832,2561,2297,2039,1787,1543,1304,1069,841,617,
398,183,-29,-240,-447,-653,-854,-1059,-1260,-1460,-1660,-1862,-2059,-2261,-2466,-2671,-2880,-3090,-3303,-3522,
-3740,-3963,-4187,-4415,-4647,-4880,-5119,-5355,-5597,-5840,-6081,-6326,-6569,-6807,-7045,-7277,-7506,-7724,-7938,-8140,
-8330,-8507,-8666,-8811,-8935,-9033,-9105,-9140,-9136,-9075,-8947,-8739,-8434,-8018,-7484,-6833,-6071,-5210,-4268,-3274,
-2248,-1218,-210,752,1642,2440,3137,3717,4181,4532,4768,4905,4948,4902,4785,4602,4367,4083,3767,3419,
3050,2663,2269,1867,1461,1059,658,266,-117,-492,-853,-1197,-1526,-1840,-2132,-2403,-2652,-2875,-3067,-3223,
-3343,-3420,-3448,-3421,-3334,-3179,-2950,-2640,-2246,-1761,-1188,-527,216,1030,1904,2818,3759,4702,5629,6521,
7349,8098,8751,9290,9709,10003,10176,10246,10217,10113,9945,9729,9475,9197,8896,8583,8257,7925,7588,7250,
6909,6570,6229,5898,5564,5237,4915,4597,4288,3985,3687,3398,3115,2838,2569,2307,2049,1799,1554,1316,
1080,850,623,401,183,-32,-242,-455,-660,-865,-1066,-1269,-1468,-1666,-1864,-2062,-2261,-2461,-2663,-2869,
-3078,-3292,-3509,-3729,-3952,-4178,-4408,-4641,-4877,-5115,-5354,-5596,-5838,-6081,-6323,-6562,-6802,-7040,-7272,-7501,
-7722,-7934,-8140,-8333,-8516,-8685,-8836,-8968,-9078,-9159,-9207,-9217,-9175,-9071,-8888,-8612,-8228,-7725,-7106,-6371,
-5536,-4617,-3635,-2614,-1584,-567,410,1324,2155,2881,3499,3998,4382,4653,4820,4888,4870,4769,4603,4379,
4106,3790,3447,3078,2697,2297,1898,1497,1093,694,301,-84,-453,-816,-1160,-1491,-1803,-2099,-2374,-2627,
-2851,-3053,-3217,-3344,-3428,-3462,-3441,-3361,-3210,-2986,-2681,-2293,-1817,-1251,-599,135,942,1803,2708,3639,
4576,5498,6386,7217,7973,8634,9184,9613,9923,10112,10191,10175,10077,9917,9704,9454,9175,8874,8558,8238,
7906,7572,7234,6897,6559,6226,5891,5565,5238,4916,4599,4289,3985,3687,3393,3109,2833,2561,2296,2035,
1785,1539,1300,1066,838,613,395,177,-33,-244,-453,-657,-862,-1063,-1264,-1463,-1666,-1865,-2060,-2261,
-2462,-2666,-2870,-3080,-3290,-3504,-3719,-3938,-4161,-4386,-4613,-4844,-5081,-5318,-5556,-5794,-6035,-6276,-6514,-6752,
-6987,-7217,-7443,-7659,-7871,-8069,-8261,-8436,-8598,-8743,-8864,-8969,-9043,-9085,-9088,-9040,-8929,-8737,-8453,-8064,
-7561,-6940,-6207,-5377,-4464,-3492,-2484,-1466,-466,496,1390,2204,2914,3515,4000,4376,4636,4796,4860,4840,
4742,4579,4359,4090,3781,3445,3084,2705,2311,1911,1508,1107,708,314,-68,-441,-802,-1149,-1482,-1794,
-2090,-2363,-2610,-2834,-3024,-3184,-3306,-3382,-3408,-3383,-3292,-3136,-2901,-2589,-2190,-1702,-1125,-457,292,1113,
1994,2914,3858,4806,5739,6626,7459,8209,8860,9396,9810,10099,10270,10331,10299,10193,10018,9801,9543,9259,
8957,8639,8308,7974,7632,7293,6947,6607,6266,5929,5593,5267,4938,4623,4310,4004,3706,3414,3128,2850,
2580,2316,2054,1803,1553,1313,1074,843,617,393,173,-42,-252,-464,-671,-877,-1080,-1279,-1480,-1677,
-1876,-2075,-2275,-2475,-2678,-2887,-3093,-3307,-3522,-3743,-3964,-4190,-4418,-4649,-4882,-5118,-5358,-5595,-5835,-6076,
-6316,-6555,-6790,-7026,-7257,-7482,-7704,-7917,-8120,-8313,-8492,-8661,-8808,-8940,-9045,-9128,-9176,-9185,-9142,-9038,
-8856,-8582,-8203,-7711,-7104,-6383,-5561,-4655,-3687,-2680,-1661,-653,315,1225,2053,2782,3398,3901,4292,4570,
4741,4816,4803,4710,4549,4330,4063,3756,3418,3057,2677,2286,1886,1485,1086,688,295,-89,-463,-824,
-1172,-1506,-1822,-2122,-2400,-2657,-2890,-3092,-3260,-3394,-3482,-3522,-3506,-3432,-3288,-3073,-2773,-2394,-1925,-1366,
-718,9,816,1679,2591,3528,4475,5409,6311,7159,7931,8609,9178,9624,9946,10147,10238,10227,10138,9980,
9770,9523,9244,8944,8628,8302,7971,7633,7295,6954,6615,6275,5941,5605,5276,4952,4633,4319,4011,3709,
3415,3127,2845,2572,2307,2047,1794,1547,1306,1071,840,616,395,178,-38,-247,-458,-664,-871,-1074,
-1275,-1476,-1677,-1873,-2075,-2273,-2474,-2678,-2882,-3086,-3297,-3511,-3726,-3942,-4164,-4390,-4617,-4848,-5081,-5318,
-5555,-5793,-6032,-6270,-6509,-6745,-6977,-7207,-7430,-7645,-7854,-8055,-8244,-8420,-8580,-8727,-8854,-8958,-9036,-9085,
-9092,-9052,-8951,-8776,-8513,-8145,-7663,-7069,-6360,-5556,-4665,-3714,-2725,-1719,-727,234,1132,1954,2677,3295,
3800,4192,4476,4656,4740,4737,4658,4511,4305,4049,3751,3423,3066,2694,2305,1911,1510,1111,713,325,
-59,-434,-795,-1141,-1473,-1786,-2080,-2355,-2603,-2829,-3026,-3186,-3310,-3392,-3424,-3400,-3318,-3164,-2936,-2630,
-2236,-1755,-1184,-525,219,1040,1922,2846,3793,4745,5680,6577,7417,8175,8837,9383,9812,10112,10292,10363,
10342,10236,10071,9851,9595,9312,9006,8690,8360,8023,7683,7338,6994,6652,6310,5970,5636,5304,4980,4659,
4346,4040,3738,3444,3157,2877,2603,2336,2076,1820,1569,1325,1086,853,624,402,180,-35,-249,-459,
-666,-870,-1073,-1277,-1476,-1673,-1873,-2072,-2271,-2473,-2677,-2883,-3093,-3305,-3520,-3740,-3961,-4185,-4414,-4641,
-4874,-5107,-5342,-5578,-5818,-6054,-6293,-6529,-6763,-6997,-7226,-7451,-7667,-7877,-8077,-8269,-8448,-8614,-8759,-8885,
-8991,-9068,-9114,-9120,-9073,-8967,-8787,-8517,-8143,-7657,-7056,-6351,-5539,-4650,-3700,-2710,-1705,-714,243,1140,
1959,2684,3298,3801,4188,4468,4643,4723,4712,4630,4474,4264,4003,3703,3373,3016,2641,2256,1861,1462,
1065,669,279,-102,-477,-838,-1189,-1521,-1840,-2141,-2423,-2681,-2915,-3119,-3289,-3423,-3512,-3555,-3543,-3469,
-3330,-3113,-2819,-2440,-1978,-1422,-781,-48,764,1640,2562,3513,4471,5418,6333,7195,7978,8667,9247,9703,
10035,10241,10334,10329,10240,10082,9874,9623,9343,9043,8727,8400,8066,7727,7385,7041,6700,6358,6019,5679,
5350,5020,4698,4382,4071,3770,3470,3180,2897,2622,2353,2094,1838,1588,1346,1110,878,650,427,209,
-7,-218,-429,-637,-845,-1049,-1254,-1456,-1655,-1853,-2054,-2254,-2455,-2656,-2860,-3067,-3276,-3488,-3702,-3921,
-4142,-4365,-4593,-4825,-5058,-5293,-5530,-5768,-6008,-6244,-6482,-6716,-6948,-7175,-7397,-7611,-7820,-8019,-8209,-8384,
-8548,-8694,-8823,-8930,-9013,-9064,-9075,-9043,-8951,-8785,-8533,-8185,-7725,-7153,-6468,-5686,-4818,-3883,-2909,-1915,
-932,24,924,1748,2484,3116,3636,4044,4346,4543,4644,4658,4591,4457,4262,4016,3727,3407,3057,2689,
2306,1914,1516,1118,721,332,-52,-425,-785,-1131,-1460,-1777,-2075,-2350,-2605,-2833,-3034,-3199,-3328,-3417,
-3455,-3438,-3362,-3216,-2998,-2699,-2316,-1849,-1293,-646,95,914,1792,2717,3670,4623,5567,6469,7319,8095,
8773,9338,9784,10104,10302,10387,10377,10283,10124,9910,9663,9379,9078,8761,8432,8096,7756,7411,7071,6725,
6384,6043,5707,5376,5052,4728,4417,4107,3803,3508,3219,2937,2663,2392,2128,1875,1623,1378,1137,903,
675,449,231,15,-197,-406,-616,-821,-1023,-1225,-1426,-1623,-1823,-2019,-2220,-2422,-2624,-2829,-3038,-3249,
-3463,-3678,-3897,-4120,-4346,-4569,-4801,-5030,-5263,-5495,-5731,-5968,-6201,-6435,-6668,-6896,-7123,-7346,-7559,-7769,
-7967,-8153,-8333,-8491,-8635,-8761,-8866,-8943,-8989,-8995,-8953,-8851,-8676,-8418,-8059,-7595,-7019,-6334,-5551,-4691,
-3765,-2799,-1817,-845,98,987,1799,2521,3139,3647,4046,4332,4520,4611,4617,4542,4403,4204,3957,3668,
3346,2999,2633,2253,1865,1470,1076,683,293,-88,-461,-822,-1174,-1507,-1825,-2126,-2408,-2668,-2901,-3103,
-3274,-3409,-3499,-3538,-3526,-3452,-3311,-3093,-2800,-2425,-1970,-1421,-773,-33,789,1679,2608,3566,4530,5484,
6402,7265,8053,8743,9322,9779,10107,10312,10405,10397,10305,10148,9936,9685,9407,9105,8787,8459,8125,7783,
7441,7094,6752,6408,6068,5729,5392,5065,4739,4419,4108,3803,3504,3212,2929,2653,2385,2121,1866,1618,
1372,1135,901,673,450,227,11,-202,-411,-623,-829,-1034,-1237,-1438,-1638,-1835,-2034,-2232,-2433,-2634,
-2837,-3042,-3250,-3461,-3677,-3893,-4114,-4338,-4565,-4796,-5028,-5260,-5496,-5732,-5967,-6207,-6438,-6671,-6902,-7126,
-7346,-7562,-7767,-7967,-8155,-8328,-8492,-8638,-8768,-8875,-8956,-9012,-9027,-8994,-8908,-8752,-8510,-8171,-7728,-7173,
-6509,-5743,-4896,-3980,-3021,-2044,-1068,-124,773,1601,2338,2976,3506,3926,4238,4448,4560,4586,4529,4408,
4221,3981,3702,3387,3043,2680,2298,1909,1517,1120,727,339,-43,-417,-777,-1123,-1456,-1773,-2072,-2351,
-2609,-2842,-3046,-3219,-3357,-3447,-3494,-3486,-3420,-3285,-3073,-2788,-2423,-1973,-1431,-790,-55,761,1639,2566,
3515,4473,5420,6336,7196,7986,8679,9264,9728,10070,10287,10390,10391,10308,10156,9952,9705,9430,9131,8813,
8485,8148,7808,7465,7121,6776,6434,6094,5759,5426,5098,4777,4461,4151,3845,3549,3256,2970,2695,2423,
2159,1898,1650,1403,1162,928,700,476,254,38,-172,-384,-590,-795,-998,-1201,-1401,-1602,-1799,-1998,
-2198,-2397,-2599,-2804,-3012,-3220,-3431,-3644,-3862,-4081,-4303,-4525,-4751,-4981,-5211,-5442,-5671,-5905,-6139,-6369,
-6599,-6827,-7051,-7269,-7484,-7686,-7883,-8068,-8240,-8399,-8544,-8666,-8769,-8843,-8889,-8899,-8859,-8763,-8600,-8353,
-8009,-7562,-7007,-6348,-5590,-4747,-3848,-2903,-1940,-981,-50,830,1639,2363,2984,3503,3910,4212,4413,4519,
4539,4483,4354,4170,3935,3657,3347,3009,2650,2276,1896,1505,1114,723,336,-46,-417,-779,-1127,-1463,
-1781,-2082,-2361,-2620,-2853,-3057,-3229,-3362,-3455,-3494,-3483,-3408,-3270,-3058,-2772,-2414,-1962,-1412,-758,-11,
812,1701,2634,3594,4558,5512,6430,7297,8083,8777,9356,9815,10147,10356,10447,10442,10352,10193,9984,9734,
9453,9155,8836,8508,8171,7829,7484,7136,6791,6445,6101,5758,5425,5090,4763,4445,4128,3822,3524,3230,
2946,2666,2396,2132,1874,1621,1376,1136,899,668,442,219,2,-216,-428,-636,-847,-1051,-1255,-1457,
-1655,-1854,-2054,-2253,-2453,-2654,-2858,-3063,-3270,-3484,-3697,-3914,-4135,-4357,-4584,-4812,-5044,-5274,-5507,-5740,
-5974,-6206,-6438,-6670,-6895,-7116,-7335,-7543,-7749,-7945,-8129,-8303,-8461,-8605,-8735,-8839,-8917,-8970,-8982,-8949,
-8858,-8702,-8462,-8125,-7689,-7142,-6489,-5739,-4904,-4007,-3066,-2104,-1144,-209,676,1492,2225,2861,3388,3812,
4126,4337,4456,4483,4435,4316,4134,3905,3629,3320,2982,2622,2247,1862,1473,1080,689,306,-76,-445,
-808,-1155,-1486,-1805,-2104,-2387,-2647,-2882,-3091,-3269,-3409,-3508,-3559,-3556,-3496,-3368,-3168,-2891,-2546,-2107,
-1571,-931,-196,618,1496,2424,3376,4339,5294,6215,7090,7892,8600,9200,9684,10038,10269,10386,10397,10324,
10177,9976,9734,9457,9159,8844,8517,8179,7840,7496,7149,6804,6460,6121,5781,5447,5118,4792,4474,4158,
3850,3550,3257,2970,2688,2413,2147,1887,1634,1385,1145,909,677,451,232,14,-198,-408,-619,-823,
-1029,-1233,-1436,-1635,-1835,-2033,-2232,-2435,-2635,-2840,-3045,-3251,-3460,-3673,-3888,-4106,-4324,-4544,-4770,-4995,
-5224,-5454,-5684,-5913,-6143,-6373,-6601,-6826,-7046,-7264,-7472,-7673,-7868,-8048,-8220,-8376,-8518,-8639,-8743,-8818,
-8865,-8876,-8846,-8759,-8608,-8376,-8058,-7638,-7110,-6481,-5754,-4944,-4069,-3150,-2207,-1264,-341,536,1345,2077,
2714,3247,3675,3998,4221,4348,4390,4354,4249,4083,3864,3602,3308,2983,2635,2271,1894,1511,1123,739,
356,-21,-388,-749,-1094,-1428,-1743,-2043,-2322,-2578,-2809,-3010,-3180,-3312,-3399,-3440,-3428,-3356,-3215,-3012,
-2737,-2383,-1927,-1373,-717,32,855,1741,2666,3619,4582,5526,6445,7303,8089,8780,9357,9818,10150,10358,
10455,10454,10367,10214,10006,9760,9481,9181,8866,8542,8204,7865,7519,7173,6826,6480,6136,5798,5459,5127,
4800,4480,4165,3859,3557,3263,2976,2699,2425,2160,1899,1646,1399,1157,922,686,459,233,14,-202,
-416,-627,-833,-1041,-1245,-1447,-1648,-1845,-2046,-2242,-2443,-2644,-2847,-3053,-3261,-3473,-3686,-3903,-4122,-4345,
-4568,-4795,-5022,-5251,-5480,-5713,-5942,-6170,-6400,-6625,-6851,-7068,-7280,-7487,-7689,-7880,-8060,-8231,-8389,-8529,
-8650,-8751,-8828,-8870,-8879,-8842,-8753,-8594,-8354,-8022,-7589,-7054,-6414,-5677,-4865,-3984,-3061,-2117,-1176,-255,
616,1423,2150,2779,3308,3727,4048,4265,4388,4424,4381,4270,4098,3875,3607,3307,2978,2624,2258,1879,
1496,1108,725,342,-32,-400,-758,-1104,-1436,-1755,-2053,-2338,-2597,-2836,-3045,-3224,-3367,-3468,-3522,-3525,
-3465,-3341,-3153,-2898,-2560,-2125,-1590,-950,-219,591,1467,2392,3344,4308,5262,6189,7067,7876,8594,9204,
9695,10061,10306,10429,10450,10383,10244,10047,9806,9533,9235,8921,8595,8262,7919,7575,7229,6885,6541,6198,
5858,5521,5187,4859,4535,4218,3909,3604,3305,3015,2732,2458,2187,1925,1668,1419,1175,939,708,479,
255,35,-180,-392,-603,-812,-1017,-1222,-1426,-1628,-1829,-2027,-2228,-2429,-2633,-2836,-3040,-3247,-3458,-3669,
-3883,-4100,-4318,-4537,-4763,-4989,-5214,-5443,-5672,-5902,-6129,-6356,-6581,-6805,-7023,-7237,-7441,-7643,-7832,-8011,
-8179,-8335,-8472,-8593,-8691,-8768,-8815,-8826,-8796,-8714,-8568,-8344,-8033,-7624,-7114,-6499,-5792,-5001,-4146,-3242,
-2314,-1383,-474,394,1204,1933,2572,3113,3548,3879,4112,4252,4307,4281,4186,4032,3824,3573,3285,2966,
2625,2268,1896,1517,1133,750,371,-4,-372,-731,-1076,-1407,-1722,-2021,-2299,-2557,-2788,-2991,-3162,-3295,
-3389,-3436,-3427,-3363,-3235,-3042,-2786,-2439,-1995,-1448,-801,-65,750,1627,2544,3490,4447,5391,6308,7169,
7961,8661,9253,9726,10072,10298,10411,10421,10347,10204,10004,9764,9491,9196,8884,8558,8224,7884,7538,7195,
6846,6501,6158,5815,5480,5145,4818,4496,4180,3870,3568,3274,2983,2702,2428,2159,1896,1638,1390,1145,
904,669,440,216,-7,-227,-438,-652,-862,-1066,-1271,-1473,-1673,-1876,-2073,-2269,-2471,-2671,-2873,-3081,
-3289,-3501,-3713,-3930,-4145,-4367,-4588,-4812,-5038,-5263,-5492,-5717,-5945,-6171,-6393,-6618,-6835,-7050,-7260,-7463,
-7659,-7846,-8022,-8188,-8339,-8475,-8593,-8688,-8756,-8799,-8801,-8761,-8665,-8505,-8267,-7940,-7511,-6986,-6358,-5637,
-4840,-3981,-3075,-2153,-1225,-325,537,1332,2049,2675,3199,3620,3940,4161,4289,4333,4296,4193,4028,3813,
3554,3261,2939,2597,2240,1868,1490,1109,730,354,-19,-384,-736,-1081,-1412,-1728,-2027,-2309,-2568,-2805,
-3013,-3193,-3334,-3434,-3487,-3487,-3430,-3310,-3129,-2882,-2543,-2107,-1568,-930,-199,613,1488,2410,3361,4323,
5276,6206,7083,7895,8617,9229,9727,10097,10341,10473,10498,10434,10298,10104,9868,9597,9301,8991,8667,8334,
7994,7652,7307,6961,6615,6272,5931,5593,5259,4930,4605,4285,3971,3667,3369,3076,2790,2513,2243,1980,
1721,1472,1226,990,756,529,303,81,-134,-349,-560,-769,-978,-1182,-1388,-1589,-1792,-1993,-2190,-2391,
-2592,-2794,-2998,-3203,-3413,-3626,-3838,-4054,-4271,-4490,-4714,-4937,-5165,-5392,-5618,-5845,-6072,-6298,-6521,-6741,
-6954,-7166,-7367,-7564,-7751,-7927,-8093,-8243,-8381,-8497,-8595,-8668,-8711,-8724,-8693,-8611,-8469,-8252,-7950,-7549,
-7049,-6451,-5756,-4982,-4143,-3255,-2342,-1425,-527,332,1136,1864,2505,3044,3484,3823,4066,4213,4277,4261,
4178,4028,3830,3585,3305,2992,2656,2302,1935,1560,1181,798,422,47,-318,-672,-1018,-1348,-1662,-1960,
-2239,-2495,-2729,-2934,-3109,-3246,-3344,-3397,-3396,-3339,-3222,-3044,-2800,-2460,-2026,-1490,-855,-127,675,1539,
2451,3389,4338,5279,6192,7056,7852,8561,9163,9651,10013,10254,10381,10405,10345,10210,10022,9787,9520,9228,
8918,8594,8263,7924,7581,7237,6888,6545,6199,5858,5520,5186,4858,4535,4218,3906,3603,3303,3016,2731,
2453,2180,1916,1656,1404,1156,915,677,447,222,-2,-221,-438,-649,-861,-1067,-1272,-1477,-1677,-1877,
-2075,-2278,-2479,-2681,-2887,-3091,-3301,-3511,-3723,-3939,-4155,-4374,-4595,-4817,-5041,-5264,-5488,-5715,-5941,-6161,
-6385,-6601,-6820,-7033,-7238,-7440,-7632,-7818,-7992,-8157,-8303,-8435,-8549,-8644,-8712,-8749,-8751,-8713,-8619,-8461,
-8231,-7915,-7504,-6994,-6385,-5689,-4910,-4073,-3190,-2285,-1379,-491,358,1147,1860,2487,3014,3443,3772,4000,
4140,4194,4168,4077,3926,3720,3475,3193,2881,2548,2197,1832,1462,1087,710,337,-29,-392,-744,-1085,
-1414,-1727,-2027,-2308,-2565,-2798,-3007,-3182,-3321,-3419,-3471,-3468,-3409,-3295,-3123,-2874,-2533,-2091,-1547,-909,
-180,630,1497,2415,3359,4316,5265,6185,7059,7866,8581,9194,9689,10059,10305,10433,10462,10401,10266,10077,
9844,9578,9288,8977,8658,8327,7991,7648,7306,6961,6618,6275,5933,5594,5262,4928,4605,4284,3972,3664,
3365,3072,2788,2507,2239,1973,1716,1466,1220,980,745,514,286,67,-151,-369,-582,-794,-1002,-1209,
-1412,-1615,-1817,-2015,-2218,-2418,-2620,-2820,-3025,-3232,-3437,-3650,-3862,-4078,-4295,-4513,-4738,-4959,-5184,-5412,
-5637,-5862,-6088,-6310,-6531,-6747,-6959,-7166,-7366,-7560,-7742,-7915,-8077,-8223,-8356,-8473,-8567,-8639,-8681,-8690,
-8659,-8576,-8432,-8216,-7917,-7524,-7033,-6443,-5761,-5000,-4172,-3298,-2400,-1497,-610,240,1039,1760,2399,2943,
3385,3727,3973,4129,4200,4191,4112,3973,3782,3543,3266,2960,2630,2280,1919,1548,1172,795,421,51,
-312,-664,-1007,-1335,-1646,-1942,-2223,-2478,-2711,-2915,-3092,-3230,-3330,-3383,-3387,-3335,-3225,-3059,-2816,-2483,
-2053,-1521,-892,-175,620,1482,2382,3316,4260,5196,6108,6973,7773,8483,9095,9591,9965,10215,10355,10392,
10339,10214,10033,9805,9543,9255,8951,8627,8299,7965,7625,7279,6936,6590,6248,5907,5569,5237,4908,4582,
4267,3955,3649,3350,3055,2769,2490,2214,1946,1689,1432,1182,939,702,469,241,18,-203,-417,-633,
-843,-1054,-1259,-1464,-1666,-1868,-2069,-2269,-2474,-2676,-2879,-3085,-3296,-3505,-3717,-3932,-4148,-4366,-4586,-4806,
-5030,-5250,-5476,-5700,-5921,-6143,-6365,-6579,-6796,-7006,-7212,-7411,-7600,-7786,-7956,-8118,-8262,-8392,-8503,-8595,
-8661,-8702,-8705,-8666,-8576,-8428,-8206,-7901,-7503,-7013,-6424,-5744,-4987,-4169,-3304,-2415,-1519,-641,199,984,
1698,2328,2863,3299,3636,3877,4028,4094,4083,4003,3865,3674,3438,3165,2863,2535,2196,1836,1471,1104,
732,361,-4,-365,-712,-1054,-1381,-1695,-1990,-2268,-2525,-2758,-2961,-3135,-3269,-3364,-3415,-3411,-3355,-3246,
-3077,-2826,-2486,-2042,-1505,-869,-145,655,1514,2421,3354,4303,5240,6153,7020,7818,8532,9142,9632,10000,
10253,10386,10418,10362,10236,10052,9824,9562,9276,8972,8657,8327,7996,7655,7317,6973,6629,6287,5945,5608,
5275,4943,4618,4297,3983,3675,3377,3085,2796,2518,2247,1979,1723,1468,1222,981,745,510,285,59,
-161,-379,-593,-807,-1018,-1227,-1433,-1636,-1839,-2038,-2240,-2439,-2641,-2846,-3050,-3257,-3466,-3679,-3890,-4106,
-4325,-4547,-4766,-4991,-5216,-5440,-5665,-5890,-6112,-6335,-6552,-6765,-6975,-7178,-7374,-7564,-7746,-7916,-8074,-8219,
-8349,-8460,-8551,-8617,-8659,-8664,-8629,-8541,-8395,-8175,-7876,-7483,-6994,-6409,-5734,-4980,-4162,-3300,-2411,-1518,
-642,197,983,1699,2332,2872,3311,3656,3903,4059,4130,4126,4052,3916,3728,3493,3223,2920,2594,2249,
1892,1522,1152,779,410,43,-315,-666,-1004,-1330,-1642,-1936,-2212,-2469,-2703,-2909,-3085,-3225,-3327,-3381,
-3387,-3338,-3238,-3076,-2841,-2513,-2087,-1561,-940,-230,557,1406,2302,3226,4164,5098,6007,6874,7677,8395,
9015,9520,9906,10172,10324,10371,10331,10216,10042,9820,9565,9283,8982,8665,8341,8005,7669,7328,6986,6644,
6301,5961,5626,5293,4964,4640,4320,4006,3700,3398,3103,2815,2532,2258,1989,1726,1470,1217,975,735,
499,270,46,-176,-393,-608,-820,-1028,-1240,-1444,-1648,-1852,-2054,-2255,-2459,-2663,-2869,-3075,-3284,-3496,
-3707,-3922,-4136,-4354,-4574,-4792,-5014,-5238,-5458,-5680,-5904,-6123,-6343,-6561,-6772,-6984,-7186,-7383,-7571,-7751,
-7917,-8076,-8219,-8342,-8454,-8542,-8604,-8641,-8644,-8605,-8516,-8368,-8149,-7850,-7459,-6975,-6397,-5731,-4984,-4175,
-3322,-2442,-1556,-686,149,930,1643,2274,2809,3248,3593,3842,3999,4070,4068,3998,3868,3681,3455,3192,
2897,2575,2237,1886,1528,1160,793,425,62,-294,-644,-981,-1306,-1617,-1909,-2186,-2439,-2672,-2873,-3046,
-3181,-3280,-3329,-3330,-3273,-3170,-3007,-2763,-2429,-1998,-1469,-846,-134,653,1500,2393,3316,4251,5179,6086,
6948,7746,8458,9072,9571,9952,10213,10359,10403,10359,10246,10070,9851,9598,9318,9022,8709,8388,8059,7721,
7380,7041,6700,6357,6018,5681,5345,5014,4689,4369,4056,3744,3447,3151,2864,2581,2307,2041,1780,1522,
1273,1029,790,555,324,96,-127,-348,-564,-776,-990,-1201,-1408,-1613,-1817,-2018,-2220,-2421,-2623,-2828,
-3035,-3243,-3453,-3665,-3880,-4098,-4315,-4536,-4760,-4982,-5207,-5430,-5653,-5877,-6099,-6317,-6535,-6747,-6955,-7156,
-7352,-7537,-7716,-7883,-8038,-8180,-8306,-8414,-8502,-8564,-8600,-8600,-8561,-8471,-8322,-8102,-7802,-7409,-6926,-6345,
-5679,-4935,-4130,-3280,-2405,-1526,-661,168,945,1652,2278,2813,3252,3594,3839,3999,4074,4071,4001,3868,
3685,3455,3189,2890,2568,2229,1876,1515,1148,779,415,51,-304,-650,-986,-1308,-1616,-1911,-2185,-2440,
-2672,-2877,-3052,-3194,-3294,-3350,-3355,-3310,-3209,-3052,-2818,-2493,-2069,-1550,-935,-234,545,1385,2273,3189,
4118,5041,5944,6808,7606,8324,8942,9451,9841,10113,10270,10326,10291,10182,10015,9800,9549,9273,8974,8664,
8342,8014,7678,7338,7001,6660,6321,5982,5648,5314,4984,4659,4338,4024,3715,3412,3115,2825,2541,2264,
1994,1730,1470,1221,973,734,497,267,42,-180,-399,-618,-828,-1042,-1251,-1461,-1665,-1871,-2073,-2278,
-2478,-2686,-2891,-3100,-3308,-3518,-3728,-3944,-4160,-4376,-4594,-4813,-5038,-5258,-5477,-5701,-5924,-6144,-6360,-6580,
-6789,-7000,-7201,-7397,-7585,-7758,-7925,-8082,-8220,-8346,-8453,-8536,-8599,-8634,-8632,-8592,-8507,-8363,-8147,-7853,
-7472,-6995,-6426,-5767,-5032,-4235,-3392,-2518,-1640,-777,54,834,1544,2176,2717,3162,3512,3766,3932,4014,
4020,3957,3835,3659,3437,3181,2892,2580,2247,1897,1540,1178,812,448,89,-266,-610,-946,-1268,-1578,
-1869,-2142,-2394,-2622,-2821,-2993,-3129,-3224,-3274,-3276,-3221,-3121,-2960,-2722,-2398,-1976,-1458,-846,-147,625,
1463,2344,3251,4176,5097,5994,6848,7644,8353,8969,9474,9863,10133,10289,10345,10316,10210,10046,9837,9592,
9321,9031,8721,8404,8078,7745,7410,7072,6733,6394,6053,5720,5385,5055,4731,4411,4096,3790,3488,3193,
2904,2624,2347,2077,1816,1559,1304,1057,815,579,346,114,-108,-329,-549,-764,-980,-1189,-1398,-1606,
-1809,-2012,-2217,-2419,-2623,-2829,-3035,-3246,-3456,-3670,-3885,-4104,-4325,-4545,-4768,-4991,-5214,-5440,-5661,-5882,
-6103,-6321,-6534,-6747,-6954,-7153,-7347,-7533,-7707,-7873,-8026,-8167,-8290,-8396,-8482,-8544,-8578,-8575,-8536,-8445,
-8294,-8075,-7777,-7391,-6910,-6339,-5679,-4943,-4149,-3307,-2438,-1566,-707,117,890,1595,2222,2758,3200,3545,
3794,3962,4038,4043,3975,3851,3676,3450,3187,2897,2580,2245,1896,1539,1175,813,450,90,-261,-604,
-940,-1261,-1569,-1858,-2130,-2387,-2616,-2819,-2992,-3131,-3232,-3287,-3291,-3242,-3141,-2982,-2749,-2427,-2007,-1491,
-883,-189,583,1413,2291,3196,4117,5034,5930,6782,7578,8291,8912,9417,9808,10083,10248,10307,10277,10175,
10014,9804,9558,9285,8994,8688,8368,8043,7713,7379,7039,6701,6364,6026,5689,5357,5026,4703,4379,4065,
3754,3451,3151,2860,2576,2297,2023,1756,1499,1245,996,754,516,285,57,-168,-389,-608,-827,-1041,
-1254,-1463,-1673,-1880,-2086,-2291,-2497,-2703,-2910,-3119,-3329,-3539,-3756,-3968,-4188,-4405,-4626,-4844,-5066,-5293,
-5515,-5739,-5961,-6184,-6402,-6618,-6831,-7039,-7241,-7436,-7623,-7799,-7962,-8115,-8254,-8377,-8483,-8566,-8627,-8661,
-8659,-8619,-8531,-8386,-8172,-7883,-7500,-7029,-6464,-5809,-5078,-4281,-3442,-2576,-1701,-839,-9,770,1480,2115,
2656,3104,3456,3717,3885,3972,3984,3928,3808,3637,3422,3169,2880,2571,2240,1895,1541,1180,815,453,
95,-258,-602,-935,-1257,-1563,-1851,-2123,-2374,-2601,-2802,-2971,-3105,-3201,-3253,-3256,-3204,-3103,-2943,-2715,
-2397,-1985,-1476,-876,-189,571,1397,2266,3166,4080,4989,5881,6733,7521,8236,8854,9365,9759,10039,10207,
10274,10251,10158,10003,9801,9564,9297,9012,8712,8397,8074,7745,7413,7077,6736,6399,6061,5727,5394,5069,
4741,4424,4108,3801,3500,3202,2913,2630,2354,2079,1816,1554,1300,1053,805,569,333,102,-125,-349,
-569,-786,-1000,-1214,-1424,-1629,-1837,-2041,-2247,-2452,-2657,-2863,-3073,-3284,-3498,-3712,-3931,-4147,-4369,-4590,
-4813,-5036,-5260,-5484,-5709,-5928,-6150,-6367,-6580,-6791,-6997,-7198,-7392,-7577,-7752,-7918,-8069,-8210,-8333,-8438,
-8523,-8583,-8616,-8615,-8575,-8487,-8340,-8129,-7837,-7460,-6988,-6431,-5781,-5057,-4271,-3439,-2580,-1712,-855,-31,
744,1455,2084,2626,3078,3434,3696,3867,3958,3972,3916,3799,3627,3413,3161,2876,2567,2238,1896,1542,
1185,824,466,112,-240,-579,-908,-1227,-1529,-1822,-2091,-2342,-2569,-2768,-2939,-3070,-3166,-3216,-3217,-3160,
-3054,-2890,-2653,-2330,-1910,-1399,-794,-105,660,1479,2344,3239,4150,5051,5935,6778,7563,8265,8879,9381,
9769,10041,10204,10266,10242,10143,9988,9782,9548,9279,8993,8694,8382,8063,7737,7407,7075,6738,6404,6071,
5736,5406,5077,4754,4434,4120,3809,3506,3209,2917,2630,2352,2082,1814,1554,1301,1053,811,571,339,
108,-116,-340,-561,-781,-995,-1212,-1422,-1633,-1839,-2049,-2254,-2460,-2668,-2877,-3086,-3295,-3509,-3722,-3938,
-4156,-4377,-4599,-4819,-5045,-5267,-5493,-5718,-5941,-6163,-6383,-6599,-6812,-7018,-7220,-7413,-7599,-7772,-7938,-8089,
-8226,-8349,-8452,-8535,-8596,-8629,-8630,-8589,-8502,-8359,-8150,-7862,-7489,-7021,-6462,-5812,-5090,-4299,-3464,-2601,
-1730,-868,-41,738,1452,2087,2636,3090,3448,3712,3892,3986,4005,3955,3843,3677,3465,3215,2934,2623,
2299,1956,1601,1245,882,522,165,-186,-527,-859,-1178,-1479,-1769,-2037,-2285,-2509,-2709,-2877,-3011,-3107,
-3160,-3164,-3113,-3006,-2849,-2621,-2312,-1909,-1412,-823,-149,599,1410,2264,3152,4054,4953,5834,6673,7460,
8168,8786,9300,9699,9986,10163,10240,10229,10142,9997,9804,9575,9317,9038,8741,8432,8116,7791,7461,7130,
6795,6460,6126,5795,5463,5136,4811,4494,4182,3873,3570,3272,2983,2696,2416,2143,1878,1616,1357,1106,
861,620,382,150,-78,-303,-526,-745,-963,-1175,-1387,-1598,-1805,-2013,-2222,-2428,-2637,-2845,-3058,-3268,
-3485,-3701,-3920,-4142,-4363,-4585,-4811,-5035,-5259,-5483,-5709,-5932,-6153,-6372,-6587,-6800,-7004,-7208,-7402,-7587,
-7763,-7928,-8081,-8221,-8343,-8448,-8531,-8594,-8624,-8624,-8583,-8497,-8350,-8138,-7850,-7474,-7009,-6451,-5806,-5087,
-4300,-3469,-2610,-1745,-889,-65,710,1422,2057,2602,3055,3413,3677,3853,3947,3962,3913,3797,3632,3419,
3169,2887,2579,2253,1913,1564,1209,850,492,138,-211,-551,-883,-1197,-1502,-1791,-2061,-2312,-2536,-2736,
-2906,-3043,-3135,-3186,-3189,-3138,-3026,-2865,-2635,-2320,-1921,-1422,-835,-166,580,1386,2234,3114,4013,4905,
5779,6615,7396,8103,8716,9226,9625,9910,10085,10160,10150,10066,9921,9728,9501,9245,8967,8673,8368,8055,
7734,7407,7080,6749,6414,6083,5752,5424,5096,4773,4454,4139,3829,3527,3230,2937,2654,2373,2102,1836,
1575,1320,1069,827,587,351,119,-107,-335,-556,-777,-995,-1210,-1426,-1636,-1843,-2052,-2259,-2469,-2678,
-2883,-3096,-3307,-3520,-3735,-3953,-4172,-4395,-4617,-4840,-5068,-5292,-5518,-5743,-5968,-6190,-6410,-6625,-6839,-7046,
-7246,-7439,-7622,-7798,-7963,-8112,-8248,-8369,-8470,-8554,-8612,-8643,-8642,-8600,-8511,-8363,-8152,-7858,-7478,-7011,
-6450,-5798,-5072,-4281,-3446,-2584,-1713,-857,-29,746,1460,2092,2638,3091,3449,3715,3893,3989,4005,3955,
3844,3681,3468,3219,2936,2630,2304,1961,1610,1251,893,533,178,-170,-509,-841,-1157,-1458,-1745,-2011,
-2259,-2483,-2682,-2849,-2986,-3078,-3135,-3139,-3091,-2985,-2820,-2597,-2294,-1902,-1418,-842,-179,555,1353,2200,
3074,3965,4857,5728,6565,7347,8055,8676,9193,9599,9896,10081,10168,10170,10094,9959,9772,9549,9299,9024,
8737,8430,8118,7798,7473,7146,6814,6483,6153,5823,5496,5172,4849,4534,4221,3912,3610,3312,3022,2736,
2456,2182,1914,1652,1395,1142,894,654,417,186,-44,-270,-492,-713,-931,-1146,-1359,-1570,-1781,-1987,
-2195,-2405,-2616,-2825,-3037,-3251,-3468,-3684,-3905,-4125,-4347,-4573,-4797,-5021,-5247,-5473,-5697,-5922,-6145,-6364,
-6581,-6792,-7002,-7203,-7398,-7585,-7760,-7928,-8081,-8217,-8341,-8445,-8530,-8591,-8622,-8624,-8584,-8497,-8358,-8152,
-7867,-7498,-7037,-6491,-5852,-5135,-4356,-3529,-2672,-1806,-950,-124,657,1374,2015,2566,3029,3395,3666,3850,
3950,3976,3930,3821,3664,3456,3210,2933,2629,2308,1970,1621,1267,910,557,202,-144,-485,-812,-1131,
-1434,-1719,-1988,-2234,-2459,-2656,-2822,-2956,-3050,-3099,-3099,-3047,-2933,-2765,-2533,-2231,-1838,-1355,-780,-126,
604,1393,2225,3090,3973,4852,5715,6539,7313,8013,8625,9135,9538,9825,10009,10095,10092,10015,9879,9698,
9475,9229,8959,8671,8374,8061,7746,7425,7099,6772,6441,6111,5783,5455,5131,4809,4492,4178,3871,3567,
3273,2980,2695,2416,2142,1874,1618,1358,1110,863,624,385,153,-76,-304,-525,-745,-967,-1183,-1397,
-1609,-1821,-2031,-2240,-2446,-2655,-2865,-3078,-3291,-3505,-3721,-3940,-4160,-4381,-4609,-4833,-5059,-5287,-5514,-5742,
-5965,-6189,-6411,-6631,-6846,-7051,-7254,-7448,-7635,-7811,-7976,-8130,-8271,-8393,-8501,-8584,-8648,-8683,-8686,-8652,
-8569,-8430,-8228,-7946,-7579,-7123,-6574,-5937,-5223,-4438,-3606,-2745,-1874,-1012,-179,605,1329,1976,2538,3009,
3383,3664,3859,3964,3995,3955,3856,3695,3492,3248,2970,2666,2341,2001,1650,1290,934,574,218,-129,
-469,-797,-1116,-1419,-1706,-1974,-2222,-2448,-2649,-2821,-2955,-3055,-3114,-3120,-3078,-2974,-2810,-2587,-2290,-1912,
-1443,-883,-237,483,1264,2095,2959,3839,4720,5587,6423,7203,7912,8536,9064,9479,9791,9987,10087,10098,
10033,9907,9731,9515,9268,9003,8715,8415,8106,7789,7467,7144,6816,6489,6161,5832,5506,5185,4865,4547,
4236,3928,3626,3330,3040,2752,2474,2200,1932,1670,1412,1161,914,673,436,204,-24,-252,-470,-691,
-910,-1124,-1339,-1551,-1760,-1968,-2180,-2388,-2596,-2808,-3018,-3233,-3450,-3667,-3886,-4108,-4329,-4553,-4777,-5006,
-5228,-5457,-5683,-5907,-6133,-6353,-6575,-6790,-7001,-7206,-7404,-7592,-7773,-7942,-8098,-8244,-8370,-8481,-8572,-8639,
-8677,-8689,-8659,-8586,-8456,-8266,-8000,-7648,-7206,-6670,-6046,-5339,-4564,-3737,-2879,-2002,-1133,-289,511,1248,
1915,2492,2978,3370,3667,3872,3993,4032,4004,3910,3761,3561,3326,3052,2753,2431,2097,1746,1392,1033,
674,319,-31,-373,-707,-1025,-1332,-1625,-1894,-2146,-2375,-2577,-2749,-2888,-2988,-3047,-3058,-3013,-2912,-2751,
-2527,-2238,-1868,-1409,-863,-231,478,1249,2066,2922,3798,4675,5539,6373,7155,7871,8497,9030,9458,9771,
9977,10084,10104,10043,9921,9751,9539,9299,9032,8750,8453,8146,7832,7511,7187,6860,6532,6205,5874,5550,
5225,4904,4587,4274,3965,3662,3366,3077,2792,2510,2238,1971,1708,1453,1200,953,713,474,242,11,
-215,-438,-660,-878,-1096,-1311,-1524,-1734,-1943,-2152,-2360,-2571,-2780,-2994,-3206,-3422,-3640,-3861,-4080,-4304,
-4530,-4757,-4985,-5212,-5440,-5671,-5896,-6122,-6346,-6567,-6783,-6996,-7202,-7398,-7592,-7771,-7943,-8102,-8249,-8380,
-8492,-8586,-8657,-8702,-8716,-8692,-8627,-8502,-8319,-8058,-7715,-7278,-6752,-6133,-5431,-4661,-3835,-2977,-2102,-1228,
-382,426,1170,1844,2433,2933,3335,3640,3857,3987,4036,4013,3923,3780,3583,3347,3075,2777,2455,2116,
1766,1410,1052,690,334,-18,-359,-693,-1015,-1320,-1612,-1885,-2140,-2369,-2573,-2750,-2893,-3000,-3062,-3080,
-3045,-2951,-2796,-2575,-2289,-1930,-1480,-945,-320,380,1144,1960,2813,3686,4565,5431,6266,7055,7777,8418,
8958,9399,9725,9942,10060,10088,10037,9924,9754,9547,9307,9044,8762,8466,8159,7845,7526,7200,6875,6548,
6219,5895,5568,5247,4926,4609,4298,3990,3686,3388,3097,2812,2531,2258,1987,1725,1465,1215,969,727,
488,254,26,-198,-423,-643,-863,-1077,-1292,-1506,-1717,-1923,-2134,-2344,-2551,-2763,-2974,-3191,-3407,-3622,
-3844,-4064,-4288,-4514,-4736,-4965,-5193,-5419,-5649,-5876,-6102,-6326,-6547,-6766,-6980,-7187,-7387,-7582,-7764,-7938,
-8100,-8248,-8381,-8498,-8593,-8668,-8715,-8734,-8715,-8652,-8535,-8361,-8109,-7776,-7350,-6831,-6222,-5528,-4763,-3940,
-3078,-2200,-1323,-467,347,1104,1789,2389,2900,3311,3629,3856,3996,4052,4038,3954,3815,3626,3393,3125,
2830,2510,2175,1827,1471,1111,749,393,40,-305,-640,-963,-1273,-1565,-1841,-2099,-2329,-2538,-2716,-2863,
-2971,-3037,-3058,-3029,-2938,-2789,-2573,-2295,-1944,-1510,-985,-376,312,1067,1876,2723,3592,4468,5336,6176,
6970,7700,8350,8904,9353,9695,9927,10056,10094,10053,9946,9784,9581,9347,9087,8807,8512,8210,7896,7576,
7254,6928,6600,6272,5944,5618,5296,4975,4657,4343,4035,3732,3433,3144,2859,2580,2305,2036,1773,1516,
1265,1016,774,537,301,71,-155,-379,-600,-818,-1036,-1250,-1463,-1675,-1884,-2092,-2302,-2510,-2720,-2931,
-3144,-3361,-3579,-3796,-4019,-4244,-4466,-4694,-4922,-5150,-5381,-5610,-5839,-6065,-6290,-6514,-6729,-6945,-7154,-7355,
-7549,-7736,-7910,-8074,-8225,-8361,-8481,-8583,-8661,-8714,-8736,-8723,-8668,-8559,-8391,-8148,-7825,-7411,-6902,-6303,
-5619,-4859,-4045,-3187,-2309,-1432,-571,249,1013,1710,2323,2845,3272,3604,3841,3993,4060,4053,3980,3845,
3661,3434,3169,2874,2557,2222,1874,1518,1157,797,436,86,-261,-596,-920,-1233,-1527,-1802,-2061,-2299,
-2509,-2693,-2842,-2956,-3031,-3056,-3035,-2954,-2812,-2605,-2332,-1988,-1562,-1052,-452,226,975,1774,2617,3483,
4357,5223,6067,6865,7603,8261,8827,9289,9641,9887,10028,10077,10044,9944,9789,9590,9357,9098,8819,8527,
8222,7910,7591,7268,6944,6617,6289,5963,5637,5313,4994,4678,4363,4056,3751,3455,3161,2877,2596,2320,
2050,1788,1529,1277,1029,785,548,315,85,-141,-364,-585,-803,-1022,-1236,-1448,-1660,-1870,-2080,-2288,
-2500,-2709,-2920,-3135,-3351,-3569,-3789,-4008,-4232,-4457,-4683,-4910,-5137,-5366,-5596,-5824,-6051,-6277,-6499,-6719,
-6933,-7145,-7349,-7544,-7730,-7909,-8071,-8224,-8363,-8482,-8586,-8667,-8720,-8746,-8734,-8683,-8581,-8415,-8180,-7862,
-7455,-6955,-6361,-5682,-4929,-4115,-3259,-2381,-1501,-639,185,955,1658,2276,2806,3236,3576,3820,3976,4050,
4048,3979,3849,3667,3443,3181,2891,2574,2242,1894,1538,1177,815,456,103,-246,-583,-909,-1221,-1518,
-1799,-2059,-2299,-2509,-2694,-2847,-2965,-3042,-3074,-3055,-2979,-2843,-2643,-2377,-2038,-1623,-1115,-525,146,887,
1687,2523,3391,4268,5140,5988,6792,7538,8208,8782,9257,9620,9877,10026,10082,10055,9959,9807,9610,9381,
9124,8848,8553,8251,7939,7620,7297,6970,6644,6314,5987,5660,5337,5016,4697,4385,4076,3771,3475,3180,
2896,2616,2341,2071,1808,1550,1297,1050,805,569,332,102,-123,-347,-569,-787,-1004,-1218,-1432,-1641,
-1851,-2061,-2266,-2475,-2687,-2898,-3109,-3324,-3543,-3761,-3980,-4203,-4429,-4656,-4881,-5112,-5339,-5568,-5799,-6025,
-6252,-6475,-6695,-6911,-7121,-7325,-7522,-7711,-7890,-8058,-8211,-8353,-8476,-8583,-8667,-8728,-8759,-8756,-8710,-8617,
-8461,-8239,-7932,-7539,-7053,-6474,-5807,-5061,-4256,-3407,-2529,-1649,-782,49,830,1547,2180,2725,3175,3529,
3787,3959,4046,4055,3996,3876,3700,3483,3225,2936,2623,2293,1944,1591,1231,869,509,155,-195,-532,
-859,-1173,-1473,-1756,-2017,-2257,-2475,-2663,-2819,-2942,-3024,-3062,-3050,-2981,-2853,-2662,-2405,-2073,-1663,-1169,
-589,71,803,1591,2428,3287,4164,5034,5880,6692,7443,8121,8707,9194,9571,9840,10001,10069,10053,9966,
9819,9629,9403,9149,8873,8583,8279,7969,7653,7329,7004,6677,6349,6022,5696,5373,5051,4735,4421,4112,
3809,3511,3218,2930,2651,2374,2105,1841,1584,1328,1081,838,599,367,137,-89,-312,-532,-752,-969,
-1183,-1397,-1606,-1816,-2024,-2233,-2440,-2652,-2863,-3074,-3288,-3504,-3723,-3943,-4166,-4389,-4615,-4841,-5067,-5297,
-5523,-5754,-5980,-6205,-6429,-6650,-6864,-7076,-7281,-7480,-7670,-7847,-8019,-8173,-8315,-8441,-8546,-8634,-8697,-8730,
-8733,-8693,-8602,-8454,-8239,-7942,-7560,-7083,-6514,-5858,-5121,-4324,-3479,-2607,-1726,-859,-24,762,1481,2122,
2674,3133,3495,3763,3941,4036,4053,4001,3887,3719,3504,3251,2967,2658,2327,1986,1630,1271,911,550,
194,-153,-495,-823,-1140,-1440,-1724,-1988,-2230,-2450,-2641,-2799,-2924,-3007,-3047,-3038,-2971,-2849,-2665,-2414,
-2087,-1679,-1185,-610,49,778,1566,2398,3263,4138,5013,5864,6678,7436,8117,8712,9205,9586,9857,10027,
10096,10082,9996,9853,9663,9436,9181,8907,8615,8312,7999,7681,7357,7032,6704,6376,6048,5719,5395,5073,
4756,4439,4129,3826,3526,3233,2947,2664,2389,2120,1854,1598,1343,1096,853,615,379,149,-77,-301,
-524,-741,-959,-1173,-1386,-1596,-1805,-2014,-2221,-2429,-2638,-2848,-3063,-3275,-3492,-3710,-3931,-4152,-4376,-4602,
-4830,-5056,-5287,-5514,-5744,-5972,-6197,-6421,-6644,-6859,-7071,-7276,-7475,-7665,-7846,-8017,-8175,-8318,-8448,-8558,
-8647,-8713,-8751,-8757,-8723,-8639,-8498,-8289,-8001,-7627,-7159,-6596,-5946,-5216,-4420,-3577,-2704,-1821,-948,-107,
685,1415,2067,2631,3101,3473,3753,3941,4045,4067,4023,3914,3750,3539,3288,3005,2696,2366,2022,1670,
1308,946,584,228,-122,-463,-795,-1112,-1416,-1703,-1970,-2217,-2439,-2636,-2802,-2932,-3023,-3072,-3071,-3017,
-2904,-2732,-2492,-2182,-1786,-1306,-744,-97,622,1400,2227,3086,3960,4834,5693,6515,7284,7982,8592,9104,
9506,9799,9987,10074,10074,10000,9866,9683,9461,9211,8938,8648,8346,8035,7716,7394,7069,6741,6413,6083,
5756,5432,5111,4792,4477,4165,3861,3561,3266,2978,2696,2418,2147,1883,1624,1369,1118,877,638,401,
170,-55,-278,-498,-718,-935,-1148,-1363,-1571,-1780,-1989,-2197,-2404,-2614,-2824,-3037,-3249,-3464,-3682,-3901,
-4123,-4345,-4568,-4795,-5020,-5248,-5478,-5702,-5931,-6157,-6378,-6600,-6818,-7027,-7235,-7433,-7625,-7806,-7977,-8134,
-8281,-8411,-8519,-8613,-8680,-8720,-8730,-8700,-8624,-8491,-8290,-8013,-7651,-7197,-6649,-6012,-5295,-4511,-3674,-2810,
-1930,-1060,-218,578,1312,1972,2547,3025,3408,3700,3898,4011,4044,4008,3908,3754,3548,3306,3029,2727,
2401,2060,1709,1353,992,633,275,-76,-415,-748,-1066,-1370,-1657,-1925,-2173,-2394,-2593,-2758,-2890,-2982,
-3034,-3034,-2982,-2869,-2702,-2470,-2159,-1766,-1288,-725,-82,637,1416,2240,3099,3974,4850,5708,6532,7303,
8004,8616,9130,9535,9832,10021,10109,10111,10038,9906,9722,9500,9252,8979,8692,8389,8078,7763,7438,7110,
6784,6455,6124,5797,5472,5147,4827,4513,4200,3896,3594,3302,3012,2729,2453,2180,1916,1657,1400,1152,
909,669,434,202,-26,-249,-471,-690,-905,-1121,-1333,-1544,-1752,-1961,-2169,-2376,-2584,-2793,-3004,-3218,
-3433,-3649,-3869,-4090,-4314,-4537,-4764,-4992,-5218,-5447,-5675,-5901,-6127,-6352,-6571,-6789,-7001,-7207,-7406,-7599,
-7779,-7952,-8112,-8257,-8389,-8503,-8596,-8666,-8709,-8721,-8695,-8620,-8492,-8297,-8026,-7670,-7221,-6680,-6048,-5335,
-4555,-3723,-2858,-1979,-1108,-262,538,1278,1943,2523,3011,3399,3696,3900,4020,4061,4028,3930,3777,3576,
3333,3056,2751,2427,2087,1736,1378,1016,655,299,-53,-395,-727,-1049,-1354,-1643,-1916,-2166,-2395,-2596,
-2768,-2907,-3010,-3067,-3077,-3035,-2938,-2780,-2560,-2265,-1888,-1420,-870,-236,471,1243,2063,2920,3796,4675,
5537,6371,7155,7870,8499,9031,9455,9772,9978,10084,10100,10038,9912,9736,9520,9272,9002,8714,8413,8101,
7785,7461,7133,6805,6476,6148,5819,5494,5170,4849,4532,4220,3914,3612,3315,3024,2740,2460,2188,1921,
1661,1404,1156,909,669,433,202,-24,-247,-469,-689,-905,-1121,-1333,-1545,-1753,-1960,-2167,-2376,-2583,
-2794,-3006,-3219,-3433,-3648,-3865,-4086,-4308,-4532,-4755,-4980,-5209,-5435,-5661,-5888,-6113,-6337,-6556,-6775,-6986,
-7195,-7392,-7586,-7770,-7939,-8101,-8249,-8381,-8496,-8592,-8663,-8710,-8725,-8702,-8635,-8515,-8333,-8072,-7729,-7296,
-6770,-6152,-5452,-4683,-3862,-3003,-2127,-1256,-410,395,1145,1818,2409,2908,3311,3620,3837,3969,4019,3998,
3911,3768,3576,3340,3072,2775,2457,2120,1770,1415,1056,695,338,-12,-357,-688,-1010,-1317,-1608,-1881,
-2133,-2362,-2565,-2736,-2877,-2981,-3040,-3052,-3013,-2915,-2766,-2551,-2262,-1890,-1430,-885,-255,449,1215,2037,
2893,3766,4645,5512,6349,7133,7855,8488,9028,9459,9781,9995,10106,10127,10072,9950,9777,9564,9320,9053,
8767,8466,8156,7840,7516,7191,6862,6533,6203,5872,5548,5222,4900,4584,4270,3963,3662,3366,3076,2791,
2514,2241,1974,1714,1458,1206,960,719,483,251,20,-202,-425,-646,-862,-1079,-1291,-1501,-1711,-1919,
-2125,-2333,-2540,-2750,-2960,-3172,-3387,-3602,-3821,-4040,-4264,-4489,-4713,-4940,-5167,-5393,-5622,-5847,-6071,-6294,
-6514,-6729,-6942,-7150,-7349,-7540,-7725,-7895,-8057,-8205,-8339,-8454,-8551,-8625,-8673,-8691,-8669,-8607,-8487,-8304,
-8047,-7708,-7279,-6755,-6144,-5446,-4680,-3862,-3005,-2131,-1260,-412,393,1143,1819,2413,2915,3323,3634,3853,
3991,4043,4024,3937,3796,3606,3371,3100,2804,2482,2147,1798,1441,1081,722,365,13,-329,-664,-988,
-1296,-1591,-1864,-2119,-2355,-2564,-2742,-2888,-2999,-3067,-3088,-3057,-2970,-2827,-2623,-2345,-1984,-1533,-995,-371,
328,1093,1910,2766,3643,4527,5400,6243,7039,7773,8422,8979,9424,9759,9986,10111,10141,10090,9974,9806,
9594,9351,9082,8797,8496,8185,7867,7545,7220,6887,6558,6227,5898,5569,5243,4920,4602,4287,3978,3673,
3376,3081,2795,2515,2239,1969,1705,1451,1199,951,710,471,240,12,-213,-436,-655,-875,-1091,-1304,
-1515,-1726,-1936,-2144,-2353,-2560,-2770,-2981,-3194,-3407,-3622,-3842,-4059,-4283,-4504,-4729,-4952,-5179,-5407,-5634,
-5861,-6085,-6309,-6529,-6747,-6960,-7167,-7370,-7563,-7747,-7921,-8081,-8231,-8365,-8483,-8582,-8657,-8709,-8730,-8714,
-8657,-8547,-8376,-8131,-7808,-7391,-6883,-6286,-5601,-4845,-4031,-3180,-2310,-1437,-585,230,987,1675,2282,2797,
3216,3542,3777,3922,3987,3980,3906,3772,3589,3365,3102,2808,2495,2160,1815,1461,1102,741,384,33,
-313,-649,-972,-1284,-1577,-1853,-2110,-2344,-2554,-2735,-2883,-2993,-3063,-3089,-3062,-2978,-2842,-2645,-2377,-2026,
-1585,-1056,-442,252,1009,1824,2675,3551,4435,5306,6154,6957,7694,8354,8916,9374,9721,9958,10092,10132,
10090,9983,9821,9614,9376,9111,8828,8533,8223,7906,7583,7257,6928,6594,6263,5933,5605,5279,4958,4636,
4324,4014,3710,3414,3121,2834,2554,2280,2009,1748,1487,1235,989,743,508,272,42,-183,-408,-628,
-846,-1061,-1276,-1487,-1694,-1903,-2110,-2318,-2526,-2734,-2944,-3157,-3370,-3587,-3804,-4025,-4245,-4470,-4693,-4919,
-5145,-5371,-5599,-5825,-6046,-6270,-6490,-6704,-6916,-7123,-7323,-7517,-7701,-7875,-8038,-8186,-8323,-8442,-8541,-8619,
-8672,-8695,-8683,-8627,-8522,-8355,-8119,-7799,-7394,-6893,-6306,-5631,-4886,-4082,-3238,-2373,-1505,-654,160,920,
1613,2222,2743,3172,3506,3748,3901,3974,3972,3902,3774,3593,3370,3111,2822,2510,2178,1836,1481,1126,
767,411,62,-284,-618,-941,-1252,-1545,-1828,-2085,-2323,-2536,-2719,-2873,-2985,-3061,-3089,-3067,-2986,-2854,
-2660,-2396,-2046,-1607,-1080,-465,227,988,1800,2652,3528,4416,5290,6141,6948,7694,8355,8927,9390,9742,
9983,10120,10163,10124,10016,9856,9647,9412,9146,8862,8567,8259,7943,7622,7296,6969,6637,6307,5979,5649,
5323,4999,4680,4364,4055,3748,3448,3155,2866,2582,2306,2039,1773,1514,1262,1016,774,534,302,72,
-151,-376,-597,-817,-1031,-1249,-1460,-1672,-1879,-2089,-2296,-2504,-2714,-2924,-3136,-3347,-3564,-3779,-3998,-4218,
-4442,-4666,-4888,-5117,-5342,-5568,-5795,-6020,-6243,-6465,-6681,-6895,-7101,-7303,-7496,-7681,-7854,-8018,-8167,-8302,
-8423,-8522,-8601,-8658,-8684,-8676,-8626,-8527,-8369,-8142,-7834,-7441,-6952,-6372,-5704,-4967,-4165,-3322,-2454,-1584,
-727,92,860,1561,2181,2715,3153,3496,3745,3912,3993,4001,3941,3820,3647,3429,3174,2889,2576,2250,
1906,1552,1197,836,478,126,-220,-557,-884,-1196,-1492,-1774,-2034,-2272,-2486,-2674,-2829,-2949,-3029,-3066,
-3052,-2982,-2856,-2675,-2425,-2095,-1674,-1164,-566,113,860,1666,2511,3386,4271,5148,6005,6816,7573,8249,
8835,9317,9687,9949,10105,10165,10141,10045,9895,9698,9468,9210,8931,8637,8330,8017,7694,7368,7040,6710,
6378,6048,5720,5391,5068,4747,4432,4122,3816,3516,3220,2933,2648,2370,2099,1836,1575,1317,1067,823,
583,346,115,-111,-336,-559,-778,-997,-1210,-1422,-1633,-1842,-2050,-2260,-2467,-2678,-2887,-3101,-3313,-3530,
-3748,-3968,-4192,-4414,-4637,-4865,-5090,-5316,-5542,-5768,-5992,-6214,-6435,-6651,-6864,-7069,-7272,-7466,-7651,-7826,
-7991,-8142,-8280,-8401,-8503,-8583,-8642,-8668,-8662,-8615,-8520,-8363,-8140,-7839,-7448,-6969,-6396,-5739,-5008,-4213,
-3376,-2513,-1647,-794,25,793,1497,2122,2657,3099,3448,3703,3869,3955,3963,3907,3786,3617,3400,3147,
2862,2552,2226,1885,1536,1181,823,466,115,-230,-568,-896,-1207,-1508,-1792,-2056,-2300,-2518,-2710,-2871,
-2998,-3081,-3122,-3112,-3050,-2926,-2751,-2505,-2178,-1767,-1261,-668,4,749,1552,2395,3267,4155,5034,5893,
6712,7474,8161,8754,9245,9626,9896,10058,10122,10104,10014,9866,9670,9443,9187,8909,8616,8313,8001,7682,
7357,7032,6702,6370,6041,5711,5385,5059,4739,4422,4108,3801,3500,3204,2913,2632,2352,2081,1816,1556,
1302,1051,809,570,334,104,-122,-349,-570,-791,-1009,-1225,-1440,-1650,-1858,-2067,-2275,-2486,-2696,-2901,
-3115,-3327,-3541,-3757,-3976,-4195,-4419,-4642,-4866,-5095,-5319,-5546,-5772,-5997,-6220,-6441,-6655,-6870,-7076,-7277,
-7470,-7653,-7828,-7993,-8142,-8277,-8397,-8498,-8580,-8637,-8665,-8661,-8616,-8522,-8370,-8153,-7852,-7465,-6991,-6423,
-5766,-5034,-4239,-3401,-2538,-1667,-812,12,784,1493,2121,2662,3110,3463,3725,3898,3990,4003,3950,3835,
3671,3456,3205,2921,2614,2288,1945,1594,1235,878,519,166,-180,-517,-848,-1162,-1461,-1745,-2008,-2254,
-2474,-2670,-2833,-2965,-3053,-3104,-3103,-3049,-2937,-2766,-2536,-2227,-1828,-1341,-762,-98,635,1432,2276,3146,
4032,4917,5782,6610,7383,8082,8694,9202,9600,9889,10068,10150,10148,10069,9933,9745,9522,9271,8997,8710,
8403,8092,7774,7449,7123,6792,6462,6133,5803,5477,5154,4832,4518,4206,3897,3596,3299,3009,2724,2444,
2171,1903,1641,1386,1132,885,645,408,178,-50,-276,-498,-720,-937,-1152,-1365,-1576,-1787,-1994,-2201,
-2412,-2623,-2832,-3044,-3258,-3475,-3692,-3912,-4133,-4354,-4581,-4805,-5029,-5255,-5482,-5705,-5931,-6153,-6373,-6590,
-6800,-7010,-7211,-7406,-7593,-7768,-7935,-8088,-8224,-8347,-8451,-8535,-8596,-8626,-8628,-8587,-8499,-8359,-8152,-7866,
-7495,-7034,-6485,-5846,-5128,-4349,-3522,-2664,-1798,-943,-119,662,1378,2018,2568,3030,3396,3666,3850,3949,
3975,3929,3820,3662,3454,3208,2931,2628,2306,1968,1619,1265,909,556,2,-113,-239,-193,-388,-771,
-1220,-1508,-1647,-1592,-1387,-1161,-926,-524,44,647,1211,1650,1908,2067,2269,2523,2759,2965,3202,3505,
3967,4619,5309,5948,6511,7011,7436,7786,8043,8122,8072,7984,7919,7923,7982,8077,8184,8332,8513,8688,
8790,8761,8557,8214,7765,7264,6695,6060,5400,4774,4190,3688,3229,2775,2283,1738,1151,514,-180,-924,
-1766,-2623,-3467,-4273,-4995,-5614,-6171,-6658,-7081,-7419,-7734,-8040,-8388,-8754,-9211,-9730,-10233,-10663,-11034,-11341,
-11563,-11685,-11741,-11656,-11478,-11273,-11067,-10881,-10727,-10586,-10414,-10250,-10117,-10002,-9838,-9597,-9282,-8851,-8356,-7871,
-7371,-6863,-6344,-5832,-5358,-4964,-4640,-4361,-4062,-3751,-3411,-3033,-2631,-2202,-1710,-1147,-553,11,544,1035,
1473,1872,2253,2568,2807,3016,3216,3461,3735,4071,4417,4781,5180,5624,6075,6547,6987,7322,7579,7820,
8012,8169,8294,8391,8456,8534,8656,8826,8986,9130,9218,9239,9202,9114,8958,8679,8335,7910,7454,7017,
6645,6260,5882,5540,5232,4924,4638,4330,3939,3460,2918,2348,1729,1091,433,-278,-945,-1552,-2072,-2553,
-2988,-3428,-3871,-4323,-4732,-5161,-5630,-6138,-6665,-7215,-7717,-8143,-8507,-8828,-9091,-9275,-9395,-9455,-9456,-9468,
-9527,-9580,-9636,-9716,-9768,-9805,-9840,-9846,-9770,-9589,-9331,-9021,-8647,-8260,-7864,-7436,-6999,-6595,-6230,-5896,
-5600,-5314,-4984,-4623,-4272,-3889,-3481,-3054,-2597,-2094,-1614,-1156,-740,-349,14,346,661,954,1212,1483,
1787,2122,2500,2903,3328,3753,4197,4676,5133,5556,5943,6307,6606,6915,7233,7519,7806,8102,8431,8784,
9199,9633,10047,10414,10752,11034,11276,11463,11578,11589,11558,11493,11434,11358,11329,11289,11219,11143,11091,10978,
10808,10544,10193,9739,9228,8667,8065,7403,6748,6094,5476,4922,4440,3929,3422,2907,2378,1794,1195,545,
-186,-983,-1784,-2558,-3325,-4014,-4658,-5259,-5816,-6280,-6711,-7098,-7497,-7903,-8361,-8817,-9273,-9718,-10175,-10583,
-10974,-11282,-11517,-11630,-11682,-11689,-11657,-11568,-11476,-11358,-11239,-11157,-11108,-11048,-10967,-10836,-10667,-10425,-10165,-9853,
-9446,-8980,-8476,-7959,-7435,-6957,-6497,-6054,-5614,-5220,-4839,-4465,-4084,-3686,-3248,-2786,-2315,-1837,-1358,-877,
-405,50,467,818,1141,1458,1744,2053,2359,2658,2955,3294,3682,4096,4516,4928,5344,5715,6068,6417,
6700,6961,7185,7359,7517,7718,7928,8142,8341,8574,8801,9015,9212,9391,9476,9484,9440,9341,9188,9008,
8781,8518,8258,8039,7816,7610,7400,7157,6853,6529,6179,5768,5266,4717,4105,3464,2840,2252,1672,1127,
593,98,-364,-781,-1206,-1666,-2176,-2696,-3265,-3851,-4415,-4999,-5594,-6143,-6626,-7040,-7389,-7690,-7925,-8179,
-8382,-8558,-8711,-8920,-9111,-9344,-9572,-9757,-9879,-9953,-9978,-9950,-9846,-9701,-9464,-9171,-8868,-8588,-8296,-8032,
-7760,-7493,-7227,-6968,-6720,-6429,-6103,-5722,-5286,-4841,-4382,-3917,-3432,-2941,-2476,-2045,-1644,-1284,-963,-611,
-266,70,415,777,1151,1564,2011,2471,2918,3337,3745,4163,4556,4932,5262,5569,5877,6193,6521,6892,
7284,7665,8056,8461,8903,9311,9694,10030,10284,10487,10673,10805,10922,10984,11022,11041,11081,11145,11191,11203,
11189,11121,10990,10817,10611,10312,9908,9443,8973,8482,7996,7532,7059,6552,6076,5607,5140,4666,4134,3535,
2868,2171,1470,736,-10,-756,-1501,-2218,-2838,-3412,-3953,-4491,-5011,-5519,-6025,-6516,-7012,-7552,-8113,-8660,
-9193,-9656,-10059,-10421,-10735,-10995,-11182,-11290,-11363,-11398,-11434,-11505,-11543,-11540,-11541,-11521,-11476,-11412,-11307,-11121,
-10848,-10507,-10147,-9742,-9335,-8891,-8410,-7919,-7473,-7052,-6647,-6247,-5847,-5417,-4972,-4525,-4084,-3605,-3106,-2582,
-2063,-1559,-1079,-639,-208,212,616,970,1301,1603,1926,2270,2629,2988,3358,3724,4091,4472,4866,5248,
5580,5899,6172,6444,6724,6984,7237,7471,7714,7977,8261,8558,8846,9083,9295,9493,9642,9750,9820,9837,
9773,9660,9561,9464,9350,9214,9066,8888,8707,8538,8327,8069,7729,7331,6884,6425,5935,5420,4845,4284,
3730,3202,2704,2241,1745,1222,689,159,-375,-935,-1527,-2161,-2813,-3442,-4024,-4585,-5100,-5597,-6072,-6498,
-6858,-7178,-7494,-7831,-8160,-8495,-8816,-9097,-9355,-9623,-9860,-10058,-10187,-10237,-10220,-10171,-10096,-9992,-9839,-9684,
-9487,-9284,-9097,-8925,-8724,-8489,-8231,-7934,-7620,-7284,-6923,-6516,-6058,-5599,-5152,-4714,-4294,-3886,-3467,-3057,
-2678,-2314,-1963,-1606,-1232,-819,-391,8,411,843,1254,1684,2110,2511,2872,3216,3555,3915,4266,4620,
4961,5313,5688,6095,6504,6926,7328,7706,8053,8399,8733,9019,9251,9449,9616,9755,9912,10070,10197,10294,
10368,10434,10486,10519,10476,10359,10187,9963,9709,9424,9101,8728,8316,7894,7497,7108,6692,6275,5817,5311,
4797,4266,3705,3093,2438,1757,1076,397,-234,-864,-1496,-2100,-2684,-3241,-3772,-4272,-4813,-5384,-5935,-6463,
-6992,-7499,-7986,-8469,-8930,-9326,-9657,-9929,-10165,-10372,-10555,-10718,-10826,-10897,-10976,-11022,-11074,-11112,-11095,-11013,
-10889,-10740,-10556,-10311,-10025,-9690,-9313,-8923,-8550,-8159,-7772,-7357,-6940,-6523,-6123,-5708,-5304,-4848,-4398,-3919,
-3454,-3000,-2552,-2085,-1627,-1200,-777,-388,-20,323,669,1018,1364,1684,2019,2346,2694,3064,3418,3777,
4123,4457,4796,5122,5461,5764,6055,6340,6643,6937,7253,7567,7862,8156,8451,8756,9055,9301,9531,9682,
9815,9926,10015,10073,10086,10059,10012,9949,9901,9835,9715,9555,9362,9119,8857,8565,8205,7795,7331,6857,
6377,5893,5405,4887,4349,3808,3299,2785,2245,1693,1096,483,-145,-750,-1359,-1983,-2606,-3210,-3809,-4345,
-4836,-5323,-5802,-6258,-6708,-7126,-7511,-7895,-8292,-8686,-9040,-9370,-9661,-9889,-10095,-10279,-10429,-10522,-10539,-10536,
-10507,-10440,-10395,-10302,-10184,-10039,-9884,-9687,-9499,-9268,-9003,-8664,-8323,-7969,-7591,-7191,-6788,-6350,-5900,-5480,
-5067,-4665,-4248,-3822,-3394,-2958,-2534,-2124,-1687,-1237,-782,-319,127,547,976,1417,1848,2254,2652,3048,
3418,3801,4210,4626,5032,5434,5825,6232,6650,7054,7457,7831,8167,8486,8783,9089,9367,9603,9804,10009,
10195,10376,10529,10666,10745,10776,10779,10766,10700,10591,10417,10200,9956,9694,9421,9110,8769,8402,7992,7582,
7189,6764,6269,5751,5203,4639,4062,3478,2879,2243,1600,993,394,-194,-769,-1363,-1961,-2535,-3094,-3650,
-4193,-4732,-5297,-5860,-6375,-6836,-7298,-7741,-8147,-8540,-8886,-9189,-9444,-9682,-9923,-10142,-10314,-10463,-10565,-10640,
-10714,-10743,-10732,-10683,-10577,-10428,-10260,-10068,-9859,-9589,-9294,-8979,-8647,-8321,-7993,-7633,-7263,-6854,-6446,-6052,
-5648,-5238,-4803,-4344,-3904,-3469,-3049,-2639,-2227,-1800,-1393,-1005,-635,-274,87,451,822,1190,1547,1890,
2256,2619,3004,3376,3740,4092,4435,4801,5164,5517,5867,6199,6525,6876,7227,7586,7921,8231,8542,8834,
9119,9399,9638,9823,9986,10123,10234,10342,10414,10434,10420,10371,10316,10215,10099,9936,9707,9432,9147,8834,
8481,8092,7661,7194,6706,6219,5741,5219,4679,4094,3505,2925,2349,1757,1133,486,-165,-803,-1436,-2042,
-2650,-3277,-3890,-4462,-5032,-5553,-6072,-6591,-7113,-7597,-8035,-8455,-8859,-9243,-9634,-9988,-10289,-10539,-10769,-10966,
-11143,-11295,-11412,-11458,-11464,-11457,-11441,-11399,-11318,-11195,-11023,-10833,-10621,-10397,-10147,-9843,-9510,-9138,-8767,-8408,
-8013,-7592,-7159,-6701,-6257,-5823,-5388,-4952,-4487,-4020,-3566,-3108,-2667,-2227,-1753,-1292,-828,-382,52,479,
913,1354,1788,2183,2579,2977,3376,3781,4204,4603,4992,5376,5763,6161,6561,6935,7299,7613,7929,8253,
8551,8834,9097,9318,9510,9707,9882,10054,10165,10242,10285,10302,10298,10271,10188,10063,9891,9701,9480,9262,
9000,8700,8322,7971,7587,7194,6790,6355,5869,5366,4856,4343,3817,3266,2707,2115,1527,974,420,-135,
-691,-1274,-1829,-2358,-2870,-3374,-3891,-4404,-4899,-5384,-5804,-6218,-6625,-7032,-7398,-7739,-8034,-8305,-8520,-8746,
-8942,-9112,-9228,-9315,-9362,-9407,-9433,-9419,-9356,-9257,-9117,-8964,-8787,-8591,-8347,-8068,-7759,-7448,-7125,-6806,
-6462,-6100,-5719,-5335,-4957,-4583,-4187,-3782,-3364,-2935,-2534,-2141,-1739,-1334,-938,-535,-165,198,537,892,
1253,1616,1978,2335,2676,3018,3390,3770,4139,4501,4850,5202,5548,5918,6271,6609,6941,7274,7598,7947,
8290,8619,8912,9187,9469,9731,9973,10201,10377,10504,10607,10689,10755,10780,10769,10702,10613,10494,10381,10201,
10004,9756,9461,9127,8794,8423,8015,7536,7044,6525,6003,5478,4948,4361,3766,3159,2558,1981,1378,759,
113,-547,-1180,-1812,-2440,-3063,-3686,-4313,-4909,-5475,-5990,-6519,-7034,-7518,-7993,-8425,-8831,-9215,-9608,-9979,
-10334,-10632,-10894,-11107,-11303,-11471,-11608,-11691,-11728,-11706,-11674,-11623,-11557,-11435,-11294,-11109,-10910,-10698,-10463,-10192,
-9882,-9526,-9151,-8757,-8363,-7956,-7520,-7060,-6607,-6155,-5716,-5287,-4853,-4425,-3964,-3517,-3085,-2657,-2216,-1780,
-1331,-892,-464,-51,343,740,1141,1524,1908,2249,2597,2968,3332,3713,4093,4449,4807,5164,5543,5914,
6262,6582,6888,7174,7453,7724,7984,8212,8416,8610,8795,8971,9135,9274,9357,9411,9438,9438,9411,9340,
9205,9038,8835,8622,8390,8127,7841,7515,7164,6816,6449,6057,5625,5162,4664,4146,3634,3118,2545,1969,
1391,813,261,-265,-814,-1356,-1909,-2444,-2960,-3461,-3975,-4477,-4996,-5502,-5970,-6424,-6831,-7231,-7620,-7962,
-8263,-8530,-8751,-8967,-9153,-9330,-9490,-9588,-9677,-9736,-9772,-9794,-9767,-9697,-9577,-9415,-9220,-9014,-8774,-8513,
-8208,-7879,-7548,-7238,-6902,-6558,-6183,-5815,-5408,-5006,-4615,-4205,-3757,-3307,-2855,-2422,-2012,-1589,-1180,-773,
-369,34,376,746,1091,1479,1867,2257,2622,3011,3379,3772,4160,4559,4926,5278,5625,5981,6335,6687,
7032,7367,7694,8047,8394,8754,9091,9412,9693,9965,10222,10453,10644,10786,10891,10965,11019,11057,11074,11047,
10979,10900,10786,10663,10496,10273,10005,9694,9330,8954,8548,8092,7598,7076,6567,6034,5504,4972,4417,3830,
3238,2632,2037,1418,772,100,-583,-1255,-1895,-2533,-3155,-3775,-4376,-4956,-5477,-5974,-6459,-6956,-7452,-7905,
-8356,-8778,-9162,-9558,-9931,-10269,-10550,-10763,-10948,-11096,-11210,-11295,-11334,-11325,-11297,-11237,-11165,-11089,-10982,-10814,
-10622,-10391,-10159,-9867,-9544,-9195,-8793,-8361,-7941,-7514,-7081,-6648,-6198,-5740,-5307,-4875,-4457,-4018,-3565,-3113,
-2643,-2191,-1733,-1286,-827,-375,64,474,886,1259,1628,2017,2393,2751,3118,3459,3836,4224,4623,5016,
5396,5758,6130,6492,6844,7179,7489,7768,8051,8325,8608,8864,9121,9342,9548,9761,9957,10120,10250,10324,
10342,10345,10316,10244,10136,9983,9785,9569,9346,9133,8880,8585,8263,7913,7542,7141,6709,6230,5710,5153,
4595,4033,3470,2890,2295,1714,1141,581,43,-491,-1067,-1638,-2229,-2800,-3363,-3919,-4487,-5047,-5588,-6091,
-6543,-6962,-7357,-7733,-8088,-8393,-8679,-8933,-9181,-9448,-9665,-9884,-10044,-10171,-10254,-10327,-10357,-10335,-10257,-10133,
-9972,-9794,-9607,-9401,-9170,-8923,-8658,-8380,-8101,-7812,-7488,-7126,-6751,-6352,-5943,-5524,-5097,-4657,-4204,-3761,
-3339,-2950,-2552,-2155,-1775,-1383,-995,-629,-245,148,560,984,1402,1806,2209,2596,2995,3378,3755,4128,
4471,4806,5164,5540,5913,6291,6651,7019,7398,7776,8140,8485,8787,9055,9289,9520,9726,9894,10017,10115,
10191,10266,10322,10366,10359,10320,10238,10131,9992,9804,9552,9248,8895,8519,8121,7717,7269,6810,6328,5837,
5365,4879,4365,3823,3253,2642,2028,1401,772,112,-568,-1236,-1881,-2487,-3066,-3655,-4217,-4761,-5301,-5810,
-6307,-6781,-7303,-7821,-8301,-8749,-9157,-9557,-9910,-10250,-10531,-10764,-10932,-11067,-11172,-11266,-11351,-11393,-11403,-11374,
-11337,-11290,-11215,-11104,-10912,-10683,-10414,-10123,-9814,-9454,-9067,-8658,-8233,-7819,-7425,-7019,-6615,-6170,-5743,-5311,
-4883,-4442,-3987,-3508,-3036,-2565,-2102,-1659,-1228,-793,-372,22,398,756,1114,1479,1844,2237,2607,2988,
3360,3742,4153,4549,4942,5310,5652,6000,6340,6663,6996,7298,7590,7882,8195,8502,8818,9088,9354,9579,
9795,9989,10146,10240,10311,10303,10283,10247,10177,10086,9965,9810,9638,9460,9261,9030,8755,8415,8045,7644,
7217,6749,6233,5709,5148,4599,4059,3538,3004,2458,1889,1346,790,241,-331,-922,-1535,-2152,-2767,-3330,
-3901,-4453,-4991,-5478,-5948,-6363,-6746,-7118,-7485,-7847,-8183,-8486,-8781,-9059,-9338,-9594,-9793,-9939,-10044,-10090,
-10105,-10101,-10047,-9949,-9802,-9648,-9491,-9321,-9136,-8930,-8696,-8439,-8161,-7861,-7547,-7188,-6791,-6365,-5929,-5516,
-5076,-4648,-4217,-3790,-3364,-2965,-2581,-2214,-1814,-1401,-991,-584,-166,232,665,1083,1511,1928,2322,2687,
3056,3421,3789,4139,4472,4822,5160,5534,5925,6317,6700,7065,7425,7786,8123,8454,8743,8995,9205,9409,
9598,9777,9929,10059,10168,10270,10345,10421,10440,10433,10348,10213,10051,9858,9616,9326,8990,8620,8244,7861,
7480,7083,6645,6191,5709,5219,4725,4182,3585,2967,2320,1684,1035,391,-241,-888,-1514,-2098,-2659,-3212,
-3757,-4323,-4871,-5418,-5953,-6471,-6991,-7517,-8020,-8507,-8921,-9303,-9638,-9954,-10211,-10449,-10641,-10803,-10929,-11043,
-11161,-11253,-11312,-11337,-11312,-11268,-11200,-11076,-10912,-10675,-10399,-10095,-9771,-9449,-9107,-8734,-8349,-7970,-7593,-7220,
-6835,-6437,-6013,-5563,-5111,-4657,-4201,-3722,-3253,-2776,-2325,-1894,-1475,-1086,-691,-299,72,444,790,1160,
1549,1943,2340,2743,3134,3519,3905,4300,4684,5047,5383,5722,6047,6392,6735,7065,7404,7732,8060,8410,
8736,9074,9346,9587,9798,9985,10129,10249,10333,10361,10363,10331,10315,10283,10219,10117,9985,9819,9636,9401,
9122,8797,8411,7970,7533,7069,6592,6080,5560,5033,4520,4008,3506,2974,2416,1826,1237,640,33,-595,
-1229,-1876,-2502,-3101,-3666,-4196,-4717,-5222,-5694,-6137,-6567,-6968,-7379,-7785,-8199,-8588,-8935,-9256,-9545,-9806,
-10041,-10215,-10330,-10391,-10413,-10418,-10405,-10367,-10296,-10200,-10076,-9949,-9814,-9648,-9445,-9202,-8914,-8597,-8249,-7890,
-7500,-7078,-6630,-6196,-5770,-5368,-4946,-4535,-4120,-3701,-3292,-2891,-2471,-2044,-1593,-1116,-674,-226,208,638,
1067,1483,1895,2270,2630,2988,3367,3739,4109,4489,4877,5272,5676,6083,6499,6879,7247,7578,7901,8224,
8514,8781,9029,9247,9459,9673,9882,10085,10253,10382,10484,10564,10622,10611,10547,10435,10269,10077,9858,9623,
9350,9034,8711,8380,8043,7685,7296,6869,6391,5897,5362,4818,4239,3626,2984,2352,1732,1119,519,-80,
-664,-1247,-1822,-2372,-2915,-3492,-4089,-4675,-5246,-5810,-6339,-6851,-7360,-7821,-8251,-8630,-8954,-9249,-9524,-9782,
-10024,-10236,-10420,-10588,-10731,-10868,-10972,-11030,-11028,-10980,-10894,-10775,-10613,-10419,-10178,-9891,-9597,-9306,-9008,-8706,
-8381,-8019,-7657,-7298,-6923,-6528,-6095,-5662,-5198,-4727,-4273,-3822,-3367,-2921,-2472,-2056,-1664,-1283,-912,-535,
-142,251,630,1023,1402,1816,2224,2639,3030,3422,3793,4163,4524,4895,5247,5583,5925,6275,6642,7025,
7385,7766,8128,8475,8811,9145,9437,9704,9910,10081,10250,10384,10494,10595,10650,10682,10694,10700,10692,10627,
10530,10373,10172,9940,9679,9344,8977,8567,8129,7686,7254,6800,6335,5829,5332,4828,4319,3774,3228,2609,
1984,1336,690,65,-575,-1207,-1827,-2429,-2989,-3538,-4041,-4537,-5045,-5547,-6024,-6486,-6936,-7405,-7863,-8284,
-8678,-9025,-9320,-9580,-9814,-10004,-10158,-10248,-10305,-10343,-10370,-10390,-10391,-10342,-10289,-10184,-10065,-9910,-9736,-9490,
-9208,-8878,-8544,-8198,-7812,-7438,-7026,-6610,-6212,-5829,-5456,-5062,-4645,-4238,-3818,-3391,-2956,-2528,-2078,-1630,
-1172,-739,-328,76,468,851,1230,1579,1938,2278,2636,3009,3398,3786,4176,4549,4932,5313,5699,6061,
6407,6722,7024,7300,7594,7867,8128,8370,8613,8852,9085,9306,9494,9658,9767,9839,9884,9881,9851,9756,
9618,9464,9288,9096,8895,8667,8402,8105,7793,7476,7117,6710,6255,5763,5240,4703,4148,3593,3005,2414,
1835,1271,717,178,-383,-943,-1516,-2085,-2661,-3224,-3808,-4384,-4981,-5531,-6047,-6534,-6990,-7419,-7823,-8202,
-8537,-8834,-9103,-9385,-9660,-9906,-10138,-10327,-10489,-10632,-10730,-10795,-10816,-10761,-10661,-10530,-10389,-10225,-10006,-9775,
-9520,-9252,-8983,-8712,-8426,-8109,-7751,-7376,-6975,-6576,-6148,-5706,-5237,-4781,-4324,-3883,-3457,-3030,-2614,-2201,
-1802,-1421,-1041,-658,-258,143,562,973,1369,1779,2180,2588,2983,3359,3724,4072,4430,4779,5139,5507,
5871,6225,6603,6991,7386,7772,8135,8482,8801,9103,9391,9650,9863,10048,10208,10359,10496,10623,10717,10788,
10807,10828,10804,10758,10649,10483,10267,10008,9713,9404,9052,8654,8254,7826,7391,6965,6514,6036,5534,4992,
4440,3873,3285,2666,2017,1363,705,70,-549,-1159,-1771,-2362,-2924,-3465,-3986,-4510,-5025,-5563,-6090,-6597,
-7074,-7543,-7980,-8416,-8810,-9151,-9446,-9681,-9887,-10075,-10241,-10371,-10463,-10522,-10570,-10605,-10618,-10604,-10551,-10442,
-10297,-10122,-9911,-9666,-9373,-9035,-8688,-8318,-7958,-7589,-7209,-6817,-6421,-6014,-5619,-5211,-4797,-4357,-3898,-3449,
-2987,-2524,-2084,-1631,-1191,-752,-333,56,419,794,1164,1551,1911,2267,2652,3016,3404,3809,4205,4574,
4945,5302,5661,6007,6338,6652,6959,7247,7540,7827,8138,8426,8694,8941,9194,9431,9631,9794,9921,10001,
10038,10055,10053,9999,9916,9786,9646,9503,9339,9148,8922,8661,8354,8015,7643,7247,6795,6311,5790,5274,
4718,4192,3645,3099,2518,1952,1402,844,283,-306,-914,-1533,-2146,-2753,-3352,-3944,-4531,-5111,-5649,-6140,
-6599,-7034,-7464,-7867,-8258,-8612,-8952,-9276,-9589,-9902,-10184,-10409,-10601,-10751,-10858,-10953,-10985,-10974,-10918,-10814,
-10706,-10564,-10414,-10243,-10037,-9820,-9574,-9305,-9039,-8737,-8387,-8017,-7611,-7196,-6774,-6339,-5893,-5445,-4989,-4565,
-4138,-3723,-3318,-2912,-2481,-2069,-1654,-1249,-830,-397,43,471,900,1302,1706,2096,2495,2878,3253,3620,
3979,4342,4736,5135,5524,5926,6315,6706,7112,7508,7881,8214,8532,8838,9121,9390,9638,9858,10058,10227,
10392,10548,10688,10787,10855,10868,10852,10808,10708,10562,10361,10118,9836,9549,9241,8896,8526,8142,7735,7310,
6885,6426,5924,5393,4816,4226,3631,3019,2408,1762,1118,491,-115,-708,-1278,-1865,-2444,-3015,-3567,-4125,
-4666,-5221,-5770,-6309,-6813,-7292,-7733,-8148,-8542,-8904,-9220,-9485,-9709,-9918,-10108,-10286,-10440,-10562,-10649,-10703,
-10754,-10761,-10732,-10651,-10506,-10342,-10137,-9898,-9645,-9363,-9027,-8693,-8353,-8018,-7673,-7313,-6928,-6540,-6127,-5714,
-5293,-4855,-4412,-3936,-3475,-3027,-2586,-2148,-1736,-1313,-914,-516,-145,225,595,976,1373,1761,2139,2522,
2916,3302,3700,4083,4456,4812,5146,5490,5840,6180,6499,6820,7140,7468,7788,8122,8433,8722,8983,9224,
9444,9645,9808,9913,9992,10028,10048,10056,10049,9980,9908,9795,9672,9519,9332,9107,8826,8492,8144,7745,
7340,6894,6409,5897,5391,4892,4388,3869,3324,2780,2215,1641,1074,496,-120,-754,-1386,-1999,-2608,-3194,
-3764,-4326,-4865,-5370,-5854,-6303,-6737,-7176,-7606,-8017,-8396,-8758,-9114,-9435,-9735,-10006,-10229,-10400,-10534,-10615,
-10688,-10717,-10707,-10664,-10588,-10489,-10391,-10275,-10132,-9939,-9718,-9485,-9221,-8922,-8608,-8246,-7861,-7458,-7040,-6636,
-6219,-5804,-5378,-4956,-4539,-4145,-3741,-3338,-2917,-2483,-2051,-1633,-1203,-785,-348,86,500,905,1292,1672,
2051,2430,2799,3155,3529,3898,4289,4679,5097,5495,5882,6271,6645,7019,7383,7733,8040,8327,8602,8879,
9140,9381,9615,9820,10002,10174,10314,10444,10518,10550,10528,10485,10388,10271,10095,9892,9646,9380,9106,8821,
8504,8156,7768,7355,6937,6488,6019,5493,4934,4356,3759,3176,2589,1989,1380,772,182,-395,-960,-1523,
-2089,-2673,-3253,-3816,-4366,-4913,-5459,-5997,-6504,-6980,-7415,-7811,-8183,-8538,-8868,-9164,-9401,-9636,-9846,-10041,
-10212,-10371,-10472,-10554,-10591,-10587,-10567,-10497,-10364,-10197,-9988,-9773,-9527,-9262,-8982,-8663,-8337,-8006,-7669,-7319,
-6952,-6551,-6139,-5716,-5275,-4839,-4393,-3936,-3489,-3025,-2589,-2182,-1763,-1366,-963,-568,-200,188,557,931,
1329,1735,2120,2507,2880,3251,3632,3993,4351,4703,5040,5372,5694,6042,6384,6722,7049,7389,7721,8055,
8373,8669,8934,9183,9390,9597,9772,9904,10005,10063,10126,10156,10164,10173,10133,10047,9928,9789,9621,9403,
9137,8822,8476,8088,7692,7263,6828,6354,5866,5382,4879,4379,3856,3299,2732,2143,1544,940,337,-292,
-928,-1573,-2174,-2759,-3325,-3882,-4425,-4957,-5458,-5944,-6418,-6867,-7324,-7771,-8194,-8593,-8954,-9293,-9619,-9893,
-10140,-10332,-10473,-10588,-10669,-10729,-10777,-10769,-10737,-10680,-10608,-10502,-10379,-10224,-10031,-9794,-9525,-9234,-8918,-8576,
-8202,-7797,-7400,-6994,-6594,-6197,-5782,-5366,-4941,-4521,-4112,-3689,-3255,-2815,-2366,-1908,-1473,-1041,-613,-191,
235,641,1028,1401,1778,2160,2536,2921,3306,3678,4058,4455,4862,5265,5662,6024,6385,6744,7087,7421,
7747,8039,8322,8580,8855,9122,9364,9597,9797,9966,10114,10232,10320,10360,10343,10286,10209,10098,9966,9777,
9562,9323,9070,8790,8496,8178,7811,7408,6963,6510,6031,5512,4967,4405,3816,3230,2635,2064,1483,888,
295,-287,-864,-1431,-2022,-2612,-3210,-3802,-4380,-4932,-5471,-6007,-6525,-7008,-7449,-7861,-8238,-8579,-8920,-9218,
-9517,-9776,-9991,-10209,-10404,-10576,-10707,-10798,-10831,-10842,-10800,-10745,-10633,-10472,-10286,-10062,-9827,-9586,-9317,-9034,
-8719,-8394,-8047,-7692,-7316,-6921,-6494,-6048,-5595,-5142,-4692,-4236,-3778,-3331,-2891,-2455,-2048,-1643,-1231,-825,
-419,-15,380,796,1190,1599,2018,2421,2810,3191,3559,3945,4309,4678,5025,5381,5725,6089,6465,6845,
7212,7568,7924,8277,8612,8942,9226,9500,9739,9943,10142,10322,10468,10594,10678,10744,10802,10840,10833,10789,
10703,10575,10408,10202,9976,9699,9354,9001,8617,8226,7817,7375,6919,6438,5946,5441,4923,4383,3806,3193,
2585,1958,1344,709,84,-557,-1174,-1778,-2351,-2917,-3472,-4023,-4554,-5077,-5584,-6082,-6571,-7049,-7523,-7966,
-8366,-8730,-9052,-9365,-9650,-9878,-10069,-10209,-10318,-10433,-10511,-10567,-10601,-10585,-10545,-10482,-10389,-10272,-10103,-9893,
-9652,-9363,-9070,-8763,-8418,-8058,-7678,-7298,-6922,-6541,-6147,-5756,-5349,-4916,-4500,-4070,-3648,-3209,-2754,-2313,
-1865,-1425,-1007,-598,-201,202,599,974,1339,1709,2100,2488,2883,3272,3673,4055,4440,4842,5237,5610,
5970,6307,6650,6975,7304,7621,7933,8219,8502,8773,9052,9309,9530,9726,9892,10018,10126,10188,10207,10195,
10124,10037,9941,9813,9651,9460,9244,8993,8721,8422,8093,7718,7292,6839,6354,5872,5350,4807,4245,3687,
3121,2563,1991,1428,844,256,-327,-917,-1503,-2096,-2715,-3319,-3914,-4492,-5035,-5552,-6067,-6554,-7017,-7445,
-7834,-8202,-8563,-8898,-9231,-9543,-9817,-10060,-10270,-10468,-10631,-10746,-10810,-10821,-10814,-10770,-10685,-10575,-10424,-10252,
-10055,-9850,-9624,-9388,-9111,-8817,-8486,-8137,-7776,-7392,-7003,-6566,-6130,-5683,-5255,-4816,-4387,-3960,-3527,-3115,
-2704,-2305,-1912,-1512,-1089,-681,-269,126,540,938,1347,1749,2147,2523,2882,3247,3608,3975,4340,4702,
5066,5434,5820,6204,6585,6963,7333,7674,8018,8347,8652,8935,9177,9411,9614,9817,10009,10163,10291,10400,
10465,10530,10571,10531,10473,10376,10221,10039,9811,9569,9277,8947,8592,8236,7848,7456,7034,6581,6101,5603,
5094,4557,3997,3414,2801,2162,1553,953,333,-273,-874,-1473,-2056,-2619,-3147,-3693,-4249,-4796,-5331,-5837,
-6334,-6823,-7285,-7749,-8163,-8533,-8860,-9162,-9430,-9686,-9894,-10064,-10221,-10341,-10439,-10528,-10590,-10616,-10600,-10538,
-10452,-10339,-10178,-9984,-9744,-9471,-9180,-8874,-8552,-8225,-7871,-7500,-7132,-6764,-6386,-5991,-5583,-5158,-4717,-4274,
-3837,-3396,-2953,-2499,-2060,-1640,-1222,-822,-428,-33,354,736,1118,1487,1863,2258,2658,3052,3446,3832,
4211,4587,4958,5326,5677,6019,6341,6667,7004,7321,7647,7962,8261,8557,8840,9098,9355,9558,9732,9868,
9977,10056,10120,10120,10097,10037,9960,9868,9765,9620,9433,9208,8957,8680,8367,8020,7619,7192,6733,6245,
5757,5262,4729,4194,3655,3112,2574,2024,1463,892,295,-300,-905,-1490,-2091,-2698,-3292,-3864,-4413,-4931,
-5415,-5895,-6361,-6791,-7223,-7599,-7968,-8333,-8690,-9016,-9324,-9593,-9822,-10018,-10184,-10324,-10409,-10450,-10448,-10411,
-10362,-10288,-10182,-10048,-9880,-9702,-9499,-9277,-9041,-8765,-8446,-8100,-7749,-7365,-6979,-6574,-6152,-5731,-5292,-4871,
-4460,-4049,-3634,-3222,-2812,-2417,-2004,-1602,-1186,-770,-340,72,475,860,1265,1650,2031,2408,2772,3130,
3477,3837,4204,4581,4954,5322,5701,6075,6462,6832,7200,7543,7864,8173,8469,8750,9013,9240,9449,9665,
9856,10034,10192,10313,10398,10457,10481,10477,10420,10314,10171,9985,9773,9532,9259,8958,8627,8281,7903,7529,
7117,6685,6206,5700,5170,4631,4058,3480,2878,2252,1624,1006,418,-190,-771,-1366,-1955,-2528,-3094,-3653,
-4212,-4781,-5347,-5880,-6392,-6891,-7361,-7816,-8232,-8625,-8980,-9273,-9548,-9801,-10043,-10261,-10433,-10579,-10712,-10805,
-10878,-10928,-10928,-10890,-10800,-10667,-10516,-10324,-10101,-9843,-9547,-9254,-8949,-8618,-8288,-7934,-7561,-7175,-6779,-6379,
-5968,-5517,-5058,-4611,-4137,-3689,-3236,-2804,-2363,-1940,-1506,-1109,-714,-324,67,465,856,1252,1642,2026,
2436,2843,3231,3614,3994,4349,4717,5065,5423,5767,6096,6436,6757,7095,7442,7765,8080,8392,8673,8941,
9196,9405,9595,9742,9859,9946,10029,10070,10085,10065,10028,9960,9870,9755,9602,9408,9167,8883,8584,8251,
7863,7447,7001,6537,6066,5580,5090,4586,4060,3517,2971,2425,1868,1270,666,53,-573,-1183,-1776,-2381,
-2965,-3559,-4110,-4633,-5139,-5620,-6088,-6557,-6996,-7427,-7843,-8216,-8597,-8963,-9300,-9590,-9842,-10056,-10247,-10384,
-10492,-10562,-10591,-10579,-10551,-10495,-10434,-10341,-10215,-10057,-9869,-9658,-9429,-9163,-8869,-8525,-8150,-7775,-7385,-6984,
-6574,-6159,-5738,-5317,-4898,-4500,-4082,-3658,-3232,-2796,-2368,-1945,-1511,-1077,-644,-207,214,616,1005,1390,
1780,2169,2531,2908,3268,3655,4027,4419,4817,5211,5585,5982,6373,6741,7119,7462,7784,8088,8392,8691,
8980,9244,9491,9719,9937,10143,10331,10478,10601,10666,10699,10688,10648,10587,10460,10293,10096,9886,9657,9392,
9085,8777,8432,8053,7655,7236,6777,6277,5725,5184,4614,4024,3442,2839,2214,1616,1010,420,-158,-753,
-1349,-1942,-2533,-3122,-3706,-4296,-4867,-5439,-5979,-6480,-6971,-7413,-7846,-8250,-8621,-8954,-9257,-9534,-9798,-10045,
-10279,-10483,-10636,-10756,-10857,-10927,-10946,-10921,-10852,-10755,-10597,-10425,-10231,-10015,-9759,-9494,-9202,-8922,-8606,-8273,
-7932,-7547,-7147,-6749,-6326,-5901,-5459,-4991,-4533,-4089,-3648,-3221,-2796,-2383,-1963,-1548,-1155,-759,-366,39,
448,852,1256,1667,2064,2459,2854,3244,3615,3979,4320,4679,5045,5402,5760,6115,6466,6830,7183,7543,
7891,8220,8518,8809,9072,9314,9512,9700,9857,9965,10074,10166,10227,10273,10271,10247,10203,10111,9995,9834,
9618,9366,9076,8741,8406,8022,7614,7190,6742,6280,5820,5335,4840,4321,3771,3209,2647,2055,1449,821,
193,-432,-1034,-1643,-2216,-2798,-3350,-3900,-4411,-4903,-5401,-5887,-6365,-6835,-7289,-7720,-8123,-8508,-8860,-9197,
-9478,-9714,-9897,-10060,-10202,-10305,-10386,-10429,-10441,-10427,-10408,-10360,-10284,-10153,-10001,-9803,-9587,-9329,-9054,-8731,
-8400,-8031,-7652,-7284,-6908,-6510,-6111,-5715,-5316,-4909,-4506,-4089,-3663,-3224,-2788,-2342,-1922,-1490,-1065,-646,
-245,151,547,920,1286,1657,2032,2416,2779,3166,3546,3936,4337,4729,5115,5491,5855,6216,6579,6916,
7238,7555,7859,8151,8451,8742,9030,9282,9520,9731,9933,10099,10236,10320,10367,10368,10343,10295,10204,10091,
9929,9745,9556,9337,9095,8804,8483,8132,7734,7325,6882,6387,5869,5324,4761,4224,3666,3088,2515,1942,
1352,780,199,-377,-976,-1587,-2201,-2802,-3398,-3983,-4564,-5114,-5656,-6165,-6641,-7072,-7499,-7896,-8286,-8646,
-8975,-9289,-9582,-9857,-10113,-10338,-10532,-10667,-10760,-10831,-10863,-10849,-10794,-10697,-10575,-10421,-10246,-10068,-9865,-9633,
-9365,-9092,-8795,-8493,-8147,-7775,-7372,-6960,-6531,-6096,-5665,-5229,-4772,-4341,-3903,-3489,-3082,-2670,-2265,-1856,
-1442,-1029,-632,-226,190,601,1019,1413,1795,2177,2549,2928,3301,3645,3992,4344,4696,5067,5443,5815,
6183,6553,6908,7272,7613,7947,8247,8521,8775,9019,9246,9443,9618,9772,9909,10029,10133,10220,10260,10254,
10222,10138,10027,9881,9684,9449,9174,8867,8546,8206,7853,7463,7046,6621,6180,5717,5230,4704,4167,3594,
2999,2417,1819,1210,594,-24,-610,-1182,-1745,-2302,-2855,-3396,-3942,-4475,-4984,-5488,-6002,-6499,-6977,-7418,
-7830,-8214,-8559,-8882,-9172,-9419,-9624,-9807,-9964,-10116,-10226,-10315,-10374,-10405,-10398,-10368,-10309,-10213,-10070,-9869,
-9645,-9396,-9131,-8829,-8511,-8177,-7826,-7465,-7119,-6758,-6376,-5982,-5571,-5160,-4747,-4313,-3878,-3437,-2980,-2523,
-2095,-1665,-1262,-845,-440,-46,334,717,1088,1470,1846,2250,2640,3023,3415,3812,4203,4586,4967,5333,
5693,6030,6388,6724,7073,7390,7717,8021,8347,8649,8957,9233,9486,9705,9904,10055,10209,10307,10362,10383,
10379,10357,10310,10225,10125,9980,9802,9612,9391,9129,8826,8466,8067,7653,7212,6748,6257,5741,5211,4663,
4135,3595,3046,2471,1900,1300,706,105,-501,-1127,-1760,-2390,-2993,-3583,-4146,-4694,-5230,-5744,-6226,-6677,
-7112,-7531,-7944,-8349,-8735,-9085,-9400,-9703,-9979,-10213,-10418,-10575,-10685,-10751,-10788,-10797,-10771,-10710,-10614,-10496,
-10361,-10214,-10025,-9824,-9578,-9296,-8990,-8672,-8327,-7947,-7542,-7129,-6690,-6258,-5829,-5406,-4975,-4542,-4108,-3688,
-3269,-2849,-2419,-1996,-1556,-1125,-691,-274,147,560,976,1385,1769,2136,2510,2871,3243,3601,3977,4333,
4708,5075,5461,5850,6226,6588,6958,7298,7648,7971,8281,8570,8831,9084,9324,9567,9788,9971,10132,10291,
10414,10509,10570,10597,10574,10503,10390,10258,10090,9879,9644,9380,9082,8784,8448,8095,7710,7292,6847,6392,
5894,5385,4829,4253,3671,3071,2476,1888,1293,691,91,-493,-1059,-1637,-2209,-2777,-3356,-3925,-4480,-5027,
-5548,-6061,-6567,-7032,-7459,-7854,-8218,-8566,-8875,-9169,-9433,-9664,-9857,-10047,-10218,-10356,-10462,-10522,-10544,-10529,
-10477,-10399,-10278,-10127,-9924,-9693,-9447,-9192,-8918,-8616,-8308,-7978,-7628,-7277,-6917,-6525,-6119,-5688,-5260,-4831,
-4397,-3946,-3511,-3074,-2629,-2215,-1811,-1413,-1027,-620,-226,158,546,937,1328,1728,2126,2520,2918,3288,
3670,4048,4420,4791,5134,5478,5824,6170,6528,6892,7232,7568,7882,8200,8518,8807,9071,9302,9501,9666,
9818,9943,10038,10097,10118,10133,10120,10087,10015,9905,9766,9582,9366,9121,8839,8509,8141,7723,7312,6866,
6413,5945,5451,4943,4416,3884,3352,2795,2212,1613,1008,398,-217,-838,-1451,-2063,-2674,-3258,-3824,-4361,
-4888,-5410,-5918,-6389,-6852,-7304,-7734,-8153,-8556,-8933,-9296,-9592,-9868,-10127,-10330,-10515,-10637,-10728,-10789,-10821,
-10824,-10814,-10757,-10678,-10575,-10430,-10280,-10080,-9859,-9593,-9293,-8971,-8632,-8269,-7895,-7494,-7078,-6666,-6257,-5833,
-5429,-5002,-4580,-4152,-3725,-3303,-2882,-2449,-2011,-1567,-1141,-729,-311,82,486,880,1261,1632,1994,2352,
2732,3100,3473,3853,4231,4600,4984,5358,5753,6126,6475,6815,7156,7476,7802,8110,8396,8674,8938,9198,
9450,9675,9885,10041,10185,10301,10386,10423,10433,10389,10314,10198,10055,9910,9714,9486,9230,8957,8649,8329,
7957,7567,7119,6657,6168,5667,5139,4588,4006,3425,2861,2278,1717,1131,548,-48,-636,-1217,-1785,-2372,
-2956,-3533,-4119,-4665,-5188,-5707,-6199,-6673,-7125,-7522,-7900,-8255,-8584,-8912,-9201,-9466,-9698,-9904,-10084,-10241,
-10373,-10470,-10498,-10503,-10465,-10392,-10296,-10167,-10001,-9805,-9580,-9342,-9094,-8825,-8529,-8204,-7866,-7519,-7151,-6760,
-6364,-5938,-5500,-5060,-4626,-4196,-3765,-3328,-2898,-2476,-2061,-1658,-1256,-854,-451,-38,363,756,1159,1567,
1965,2367,2752,3137,3507,3875,4245,4614,4983,5339,5681,6041,6396,6764,7122,7474,7805,8122,8427,8723,
9001,9237,9453,9637,9810,9959,10067,10163,10236,10257,10261,10253,10206,10125,9991,9818,9623,9376,9112,8809,
8475,8094,7685,7264,6843,6393,5916,5428,4918,4390,3845,3286,2726,2136,1518,907,290,-308,-912,-1524,
-2122,-2707,-3274,-3818,-4347,-4863,-5378,-5902,-6384,-6844,-7291,-7730,-8136,-8531,-8905,-9231,-9520,-9768,-10007,-10201,
-10356,-10478,-10568,-10620,-10667,-10676,-10663,-10614,-10527,-10410,-10263,-10097,-9896,-9653,-9373,-9069,-8742,-8396,-8044,-7670,
-7296,-6889,-6479,-6084,-5689,-5273,-4857,-4430,-4002,-3572,-3138,-2719,-2285,-1844,-1419,-998,-593,-203,190,572,
951,1336,1707,2066,2430,2799,3194,3571,3956,4335,4707,5087,5467,5827,6190,6525,6861,7190,7517,7834,
8152,8432,8710,8983,9241,9489,9707,9885,10037,10144,10245,10301,10325,10300,10247,10149,10039,9893,9731,9531,
9292,9014,8740,8420,8067,7674,7235,6783,6283,5781,5262,4722,4164,3589,2996,2429,1852,1267,682,85,
-526,-1127,-1733,-2328,-2920,-3522,-4111,-4682,-5236,-5755,-6263,-6745,-7215,-7651,-8055,-8425,-8789,-9127,-9456,-9760,
-10036,-10269,-10474,-10643,-10790,-10907,-10983,-11007,-10978,-10923,-10849,-10742,-10613,-10434,-10234,-10010,-9770,-9520,-9248,-8930,
-8594,-8236,-7857,-7476,-7069,-6647,-6207,-5750,-5295,-4854,-4419,-3993,-3544,-3108,-2678,-2246,-1837,-1418,-985,-561,
-130,294,707,1118,1528,1947,2355,2742,3119,3494,3864,4235,4618,4997,5368,5733,6095,6480,6855,7219,
7572,7901,8218,8528,8811,9079,9320,9525,9714,9889,10034,10173,10273,10344,10389,10398,10380,10351,10256,10122,
9944,9736,9502,9231,8931,8600,8224,7839,7428,7013,6591,6136,5642,5143,4612,4078,3518,2936,2344,1727,
1115,518,-76,-657,-1245,-1838,-2402,-2953,-3488,-4010,-4530,-5054,-5563,-6066,-6520,-6961,-7399,-7809,-8197,-8551,
-8860,-9140,-9373,-9592,-9781,-9937,-10065,-10154,-10215,-10262,-10289,-10269,-10221,-10132,-10010,-9856,-9676,-9468,-9219,-8932,
-8620,-8302,-7966,-7620,-7261,-6893,-6508,-6112,-5720,-5329,-4923,-4501,-4068,-3634,-3207,-2774,-2338,-1916,-1489,-1061,
-652,-256,111,496,878,1257,1637,2024,2389,2768,3142,3542,3942,4316,4697,5071,5441,5813,6171,6514,
6858,7183,7512,7844,8179,8492,8785,9064,9340,9588,9821,10031,10197,10328,10424,10487,10530,10539,10501,10429,
10340,10218,10085,9904,9703,9462,9173,8860,8517,8142,7737,7276,6790,6287,5768,5244,4714,4148,3581,2999,
2419,1850,1261,662,52,-569,-1191,-1800,-2421,-3009,-3618,-4208,-4777,-5316,-5816,-6312,-6796,-7246,-7682,-8091,
-8469,-8834,-9184,-9521,-9830,-10103,-10337,-10536,-10699,-10831,-10925,-10980,-10991,-10955,-10891,-10814,-10712,-10573,-10407,-10209,
-10000,-9766,-9504,-9227,-8912,-8554,-8184,-7798,-7396,-6989,-6562,-6118,-5673,-5237,-4809,-4395,-3962,-3547,-3107,-2696,
-2272,-1855,-1430,-1012,-593,-160,252,662,1045,1444,1831,2218,2589,2937,3294,3666,4020,4395,4775,5145,
5509,5876,6244,6616,6967,7298,7617,7912,8192,8471,8722,8958,9159,9350,9532,9698,9842,9963,10025,10074,
10088,10068,10015,9918,9772,9585,9362,9128,8859,8575,8255,7912,7543,7153,6747,6322,5869,5373,4857,4323,
3775,3221,2625,2035,1437,835,254,-315,-879,-1452,-2026,-2587,-3124,-3660,-4189,-4721,-5249,-5766,-6259,-6733,
-7163,-7577,-7980,-8342,-8660,-8948,-9203,-9431,-9637,-9818,-9985,-10107,-10202,-10272,-10313,-10339,-10322,-10254,-10148,-10008,
-9827,-9623,-9394,-9140,-8850,-8539,-8209,-7895,-7554,-7209,-6840,-6461,-6067,-5661,-5263,-4841,-4398,-3956,-3507,-3062,
-2645,-2213,-1798,-1384,-972,-572,-204,176,545,935,1322,1709,2091,2482,2862,3252,3645,4042,4415,4770,
5133,5482,5841,6193,6529,6860,7199,7534,7870,8206,8526,8829,9103,9359,9608,9821,10006,10149,10257,10328,
10376,10409,10418,10383,10316,10228,10109,9980,9808,9582,9331,9029,8683,8322,7930,7495,7029,6534,6046,5531,
5016,4496,3953,3393,2822,2241,1661,1068,451,-179,-812,-1445,-2064,-2672,-3262,-3843,-4411,-4955,-5460,-5946,
-6408,-6873,-7335,-7760,-8173,-8569,-8926,-9275,-9608,-9905,-10159,-10356,-10526,-10659,-10752,-10811,-10842,-10830,-10783,-10709,
-10621,-10521,-10389,-10206,-10010,-9773,-9527,-9238,-8921,-8579,-8198,-7790,-7387,-6962,-6548,-6125,-5687,-5257,-4828,-4396,
-3981,-3555,-3127,-2692,-2244,-1807,-1373,-942,-502,-78,345,748,1151,1530,1904,2286,2659,3021,3386,3742,
4116,4502,4886,5272,5653,6022,6395,6752,7105,7441,7759,8052,8344,8617,8891,9145,9386,9600,9798,9986,
10162,10305,10410,10472,10491,10476,10427,10339,10220,10061,9860,9631,9382,9136,8849,8532,8187,7817,7418,6995,
6539,6046,5531,4975,4411,3844,3265,2676,2077,1486,899,314,-247,-808,-1384,-1963,-2549,-3128,-3685,-4246,
-4793,-5344,-5860,-6351,-6811,-7244,-7643,-8016,-8373,-8685,-8970,-9230,-9472,-9713,-9914,-10098,-10245,-10353,-10422,-10472,
-10485,-10454,-10368,-10247,-10089,-9901,-9699,-9480,-9228,-8966,-8677,-8372,-8066,-7749,-7405,-7031,-6647,-6241,-5829,-5403,
-4973,-4527,-4075,-3632,-3203,-2789,-2381,-1974,-1574,-1171,-780,-387,-2,386,788,1204,1604,2006,2398,2788,
3179,3560,3930,4300,4648,4990,5349,5712,6068,6427,6771,7127,7479,7827,8167,8491,8783,9039,9268,9491,
9685,9843,9966,10065,10136,10190,10230,10248,10224,10167,10076,9958,9800,9611,9367,9070,8742,8377,7992,7590,
7153,6697,6226,5733,5247,4747,4225,3688,3126,2531,1936,1319,707,71,-570,-1211,-1839,-2434,-3017,-3596,
-4150,-4685,-5221,-5720,-6210,-6683,-7172,-7651,-8096,-8518,-8914,-9287,-9620,-9933,-10204,-10434,-10606,-10743,-10853,-10940,
-11000,-11029,-11031,-10989,-10943,-10864,-10765,-10636,-10446,-10220,-9973,-9687,-9382,-9041,-8672,-8289,-7876,-7473,-7075,-6674,
-6269,-5844,-5414,-4993,-4567,-4126,-3691,-3237,-2784,-2332,-1880,-1452,-1020,-588,-172,230,614,987,1366,1737,
2113,2502,2874,3258,3641,4019,4422,4815,5205,5579,5936,6292,6641,6974,7315,7621,7918,8214,8513,8800,
9087,9337,9574,9788,9977,10147,10281,10369,10419,10409,10374,10321,10230,10111,9966,9788,9582,9364,9121,8855,
8541,8183,7796,7380,6934,6459,5936,5411,4846,4285,3727,3180,2619,2046,1463,900,323,-249,-828,-1418,
-2022,-2626,-3233,-3795,-4356,-4909,-5439,-5932,-6411,-6839,-7242,-7626,-7995,-8353,-8683,-8984,-9261,-9528,-9775,-10004,
-10181,-10323,-10416,-10459,-10476,-10460,-10410,-10314,-10169,-10012,-9839,-9643,-9437,-9207,-8953,-8679,-8378,-8061,-7724,-7366,
-6968,-6547,-6120,-5697,-5256,-4819,-4384,-3946,-3513,-3098,-2694,-2303,-1895,-1479,-1069,-661,-247,156,574,986,
1405,1820,2210,2589,2973,3338,3716,4073,4422,4783,5133,5496,5877,6257,6626,6987,7342,7695,8031,8357,
8646,8909,9149,9357,9542,9738,9893,10023,10129,10227,10293,10352,10362,10346,10270,10151,9998,9817,9590,9323,
9011,8661,8305,7922,7535,7132,6694,6238,5760,5269,4774,4239,3666,3079,2469,1851,1224,598,-17,-642,
-1261,-1848,-2414,-2968,-3517,-4075,-4612,-5146,-5666,-6169,-6663,-7164,-7636,-8095,-8502,-8877,-9218,-9526,-9788,-10032,
-10227,-10395,-10526,-10634,-10736,-10812,-10853,-10864,-10839,-10785,-10706,-10581,-10423,-10205,-9951,-9676,-9371,-9059,-8727,-8367,
-7994,-7622,-7242,-6860,-6475,-6079,-5667,-5234,-4799,-4361,-3922,-3467,-3013,-2557,-2118,-1687,-1272,-873,-472,-75,
301,678,1037,1407,1797,2181,2570,2962,3356,3736,4120,4501,4890,5259,5602,5953,6291,6628,6965,7289,
7620,7934,8247,8563,8862,9161,9413,9633,9831,10004,10132,10239,10311,10330,10321,10276,10233,10166,10063,9931,
9767,9569,9350,9090,8794,8460,8070,7639,7194,6729,6242,5725,5197,4662,4123,3588,3060,2504,1942,1353,
760,165,-432,-1047,-1664,-2286,-2896,-3488,-4052,-4581,-5105,-5611,-6086,-6535,-6962,-7362,-7765,-8146,-8534,-8889,
-9210,-9506,-9772,-10005,-10224,-10383,-10491,-10558,-10578,-10575,-10549,-10490,-10404,-10290,-10141,-9990,-9823,-9627,-9399,-9144,
-8849,-8524,-8174,-7816,-7428,-7012,-6577,-6148,-5719,-5307,-4876,-4460,-4040,-3614,-3201,-2793,-2376,-1961,-1523,-1077,
-649,-217,203,621,1038,1448,1849,2230,2592,2956,3339,3700,4069,4438,4811,5191,5575,5962,6361,6730,
7089,7425,7750,8071,8363,8632,8888,9115,9328,9530,9723,9909,10056,10180,10267,10341,10383,10373,10317,10216,
10069,9891,9683,9453,9184,8873,8548,8210,7864,7487,7094,6666,6193,5706,5183,4653,4093,3501,2891,2280,
1669,1062,463,-135,-721,-1305,-1886,-2434,-2980,-3544,-4116,-4680,-5223,-5767,-6280,-6776,-7256,-7707,-8131,-8511,
-8839,-9145,-9421,-9676,-9908,-10112,-10281,-10438,-10561,-10670,-10754,-10798,-10788,-10739,-10653,-10533,-10386,-10194,-9963,-9690,
-9398,-9111,-8797,-8480,-8152,-7782,-7419,-7048,-6669,-6272,-5848,-5417,-4974,-4514,-4064,-3616,-3165,-2717,-2272,-1846,
-1444,-1047,-661,-274,120,516,901,1291,1664,2072,2473,2878,3273,3663,4041,4414,4779,5149,5506,5849,
6194,6538,6889,7250,7593,7948,8288,8611,8925,9229,9503,9750,9946,10110,10266,10385,10476,10551,10582,10587,
10569,10530,10483,10385,10254,10079,9861,9610,9326,8991,8623,8212,7768,7313,6862,6390,5900,5380,4865,4339,
3809,3258,2697,2093,1476,843,217,-400,-1027,-1648,-2261,-2855,-3424,-3970,-4485,-4981,-5485,-5975,-6439,-6883,
-7313,-7750,-8174,-8561,-8931,-9256,-9533,-9779,-10000,-10178,-10322,-10405,-10454,-10481,-10486,-10478,-10448,-10375,-10288,-10157,
-10007,-9832,-9634,-9380,-9094,-8766,-8434,-8078,-7692,-7307,-6896,-6473,-6061,-5663,-5271,-4866,-4441,-4030,-3609,-3180,
-2750,-2327,-1888,-1450,-1003,-575,-160,242,640,1026,1416,1776,2146,2499,2862,3232,3613,3994,4381,4751,
5129,5509,5889,6253,6606,6938,7248,7541,7840,8120,8383,8630,8869,9102,9321,9527,9706,9859,9964,10039,
10085,10085,10057,9969,9843,9692,9511,9313,9099,8856,8579,8266,7939,7600,7227,6814,6364,5877,5363,4828,
4277,3723,3136,2541,1953,1374,806,243,-329,-902,-1479,-2058,-2631,-3197,-3771,-4343,-4924,-5471,-5983,-6480,
-6944,-7382,-7799,-8189,-8541,-8851,-9135,-9416,-9686,-9925,-10142,-10329,-10484,-10617,-10710,-10776,-10795,-10753,-10668,-10556,
-10420,-10260,-10050,-9823,-9567,-9295,-9015,-8733,-8436,-8112,-7750,-7375,-6984,-6589,-6166,-5730,-5277,-4827,-4373,-3930,
-3499,-3066,-2640,-2213,-1811,-1413,-1024,-633,-231,169,581,991,1386,1793,2190,2601,2995,3378,3752,4110,
4474,4836,5196,5562,5924,6273,6645,7016,7392,7764,8110,8445,8758,9054,9336,9587,9797,9979,10136,10277,
10402,10506,10582,10629,10634,10633,10589,10524,10410,10236,10021,9765,9478,9165,8815,8420,8018,7584,7142,6697,
6231,5747,5239,4699,4140,3586,3003,2400,1772,1133,492,-134,-746,-1356,-1963,-2549,-3117,-3660,-4184,-4707,
-5216,-5730,-6238,-6725,-7183,-7632,-8054,-8471,-8848,-9177,-9471,-9710,-9918,-10104,-10263,-10383,-10473,-10521,-10557,-10570,
-10564,-10530,-10461,-10344,-10198,-10016,-9803,-9565,-9277,-8950,-8607,-8248,-7886,-7512,-7128,-6737,-6331,-5922,-5519,-5113,
-4701,-4269,-3823,-3383,-2933,-2481,-2046,-1603,-1170,-738,-315,76,452,835,1211,1595,1961,2319,2700,3065,
3448,3846,4243,4611,4988,5350,5717,6067,6407,6736,7054,7354,7654,7946,8248,8530,8797,9044,9286,9516,
9711,9873,10000,10089,10134,10157,10150,10102,10019,9888,9746,9592,9412,9207,8966,8700,8389,8046,7673,7279,
6832,6355,5844,5327,4781,4247,3690,3134,2549,1977,1416,849,279,-308,-908,-1520,-2121,-2718,-3309,-3893,
-4472,-5044,-5585,-6081,-6549,-6996,-7427,-7831,-8222,-8575,-8913,-9233,-9532,-9830,-10093,-10311,-10497,-10646,-10756,-10847,
-10880,-10877,-10829,-10731,-10622,-10485,-10324,-10150,-9935,-9708,-9459,-9183,-8906,-8600,-8254,-7892,-7493,-7083,-6669,-6240,
-5799,-5351,-4900,-4471,-4041,-3621,-3208,-2794,-2368,-1955,-1539,-1139,-727,-301,123,545,968,1371,1774,2165,
2561,2945,3322,3690,4051,4416,4798,5183,5559,5950,6326,6702,7091,7474,7839,8166,8476,8777,9054,9316,
9555,9770,9958,10118,10263,10401,10520,10599,10654,10658,10627,10574,10469,10325,10128,9886,9610,9319,9003,8656,
8283,7886,7474,7039,6605,6140,5642,5113,4549,3970,3387,2783,2175,1545,914,295,-312,-909,-1482,-2062,
-2639,-3205,-3748,-4294,-4823,-5362,-5888,-6408,-6895,-7357,-7787,-8197,-8579,-8930,-9242,-9506,-9729,-9934,-10112,-10274,
-10412,-10518,-10590,-10627,-10657,-10648,-10604,-10515,-10370,-10207,-10002,-9761,-9506,-9222,-8890,-8556,-8209,-7868,-7513,-7146,
-6759,-6366,-5953,-5541,-5123,-4694,-4257,-3792,-3337,-2897,-2456,-2023,-1603,-1183,-779,-381,-1,372,744,1127,
1520,1904,2283,2666,3056,3438,3828,4216,4588,4951,5292,5643,5993,6335,6657,6979,7298,7618,7932,8249,
8550,8831,9087,9321,9535,9731,9883,9986,10065,10101,10115,10115,10089,10014,9925,9797,9658,9490,9288,9051,
8763,8432,8076,7678,7266,6819,6334,5823,5309,4797,4281,3751,3197,2645,2072,1496,928,346,-262,-886,
-1512,-2119,-2722,-3307,-3878,-4439,-4980,-5491,-5979,-6431,-6867,-7307,-7726,-8127,-8498,-8850,-9193,-9502,-9793,-10053,
-10268,-10435,-10567,-10651,-10721,-10748,-10728,-10686,-10604,-10499,-10387,-10251,-10096,-9897,-9668,-9424,-9153,-8848,-8531,-8174,
-7788,-7388,-6970,-6562,-6142,-5722,-5288,-4860,-4436,-4035,-3623,-3212,-2792,-2357,-1927,-1508,-1083,-668,-236,196,
609,1017,1409,1794,2176,2555,2928,3290,3660,4033,4417,4802,5204,5596,5976,6357,6729,7098,7458,7803,
8109,8397,8670,8944,9196,9428,9651,9848,10019,10176,10303,10422,10486,10512,10485,10438,10340,10222,10043,9840,
9595,9325,9041,8742,8418,8058,7662,7248,6822,6368,5895,5374,4821,4248,3656,3074,2487,1885,1275,670,
74,-506,-1075,-1643,-2209,-2792,-3363,-3920,-4464,-5003,-5540,-6069,-6567,-7039,-7476,-7873,-8244,-8598,-8925,-9218,
-9456,-9687,-9892,-10075,-10235,-10380,-10475,-10550,-10579,-10570,-10544,-10472,-10343,-10181,-9974,-9756,-9514,-9245,-8960,-8641,
-8311,-7977,-7632,-7280,-6910,-6510,-6099,-5677,-5241,-4808,-4370,-3917,-3470,-3011,-2573,-2160,-1741,-1336,-928,-531,
-156,234,607,984,1378,1782,2168,2558,2932,3310,3693,4061,4426,4784,5130,5468,5797,6146,6490,6825,
7154,7488,7816,8145,8457,8750,9015,9261,9470,9672,9845,9973,10073,10129,10186,10204,10204,10198,10145,10049,
9922,9773,9597,9372,9103,8788,8443,8055,7655,7221,6782,6304,5810,5315,4803,4295,3765,3207,2636,2051,
1452,853,252,-369,-1001,-1638,-2242,-2826,-3397,-3953,-4498,-5028,-5531,-6019,-6491,-6935,-7385,-7822,-8237,-8625,
-8982,-9315,-9634,-9902,-10151,-10340,-10480,-10596,-10676,-10732,-10771,-10759,-10719,-10654,-10572,-10458,-10324,-10162,-9967,-9726,
-9456,-9165,-8850,-8506,-8133,-7734,-7334,-6930,-6523,-6120,-5704,-5283,-4858,-4435,-4024,-3601,-3169,-2734,-2289,-1836,
-1402,-972,-547,-130,296,703,1090,1471,1850,2233,2607,2989,3374,3746,4125,4517,4915,5313,5705,6068,
6432,6793,7136,7471,7796,8090,8374,8630,8902,9163,9397,9624,9820,9986,10127,10241,10325,10366,10354,10298,
10222,10112,9978,9790,9574,9333,9076,8789,8490,8166,7796,7394,6953,6500,6022,5508,4968,4410,3826,3242,
2647,2073,1490,894,301,-283,-860,-1430,-2018,-2605,-3195,-3781,-4352,-4901,-5437,-5967,-6478,-6964,-7402,-7818,
-8197,-8541,-8878,-9180,-9474,-9732,-9945,-10158,-10348,-10514,-10639,-10729,-10765,-10777,-10737,-10680,-10574,-10417,-10232,-10015,
-9781,-9541,-9271,-8985,-8673,-8347,-8003,-7647,-7274,-6884,-6465,-6025,-5580,-5130,-4687,-4234,-3780,-3334,-2896,-2460,
-2051,-1645,-1232,-827,-423,-21,369,782,1177,1581,1997,2399,2787,3169,3539,3924,4293,4661,5011,5368,
5713,6074,6443,6816,7179,7528,7879,8225,8556,8877,9159,9427,9664,9866,10061,10233,10374,10489,10566,10622,
10672,10696,10679,10629,10535,10401,10231,10019,9791,9509,9165,8812,8427,8030,7614,7167,6708,6224,5726,5218,
4700,4158,3584,2977,2373,1754,1141,515,-106,-741,-1356,-1957,-2530,-3094,-3649,-4193,-4721,-5237,-5736,-6227,
-6708,-7174,-7636,-8069,-8460,-8819,-9135,-9441,-9719,-9942,-10129,-10264,-10370,-10475,-10544,-10592,-10615,-10588,-10540,-10469,
-10365,-10239,-10065,-9852,-9608,-9320,-9022,-8710,-8362,-8000,-7618,-7235,-6853,-6465,-6067,-5674,-5263,-4831,-4414,-3986,
-3563,-3125,-2674,-2235,-1789,-1351,-933,-522,-124,278,676,1051,1422,1793,2182,2568,2959,3343,3744,4124,
4509,4908,5301,5672,6034,6373,6716,7041,7370,7685,7995,8279,8559,8825,9098,9348,9565,9758,9920,10045,
10150,10210,10228,10219,10145,10058,9958,9826,9658,9462,9239,8987,8709,8406,8073,7697,7273,6822,6338,5855,
5335,4792,4232,3673,3103,2541,1970,1403,818,231,-350,-940,-1525,-2114,-2727,-3326,-3916,-4490,-5033,-5549,
-6061,-6547,-7010,-7439,-7828,-8197,-8555,-8887,-9214,-9520,-9789,-10028,-10234,-10428,-10586,-10697,-10762,-10774,-10767,-10722,
-10638,-10527,-10375,-10202,-10003,-9793,-9562,-9323,-9043,-8746,-8415,-8067,-7705,-7322,-6932,-6499,-6065,-5620,-5190,-4750,
-4320,-3891,-3457,-3043,-2629,-2228,-1833,-1431,-1008,-599,-190,205,616,1017,1423,1826,2224,2603,2964,3330,
3693,4060,4426,4788,5151,5518,5898,6277,6653,7029,7392,7731,8071,8395,8697,8976,9214,9446,9645,9840,
10025,10173,10293,10394,10452,10507,10538,10495,10432,10331,10172,9987,9756,9509,9214,8881,8522,8161,7769,7369,
6941,6484,6004,5502,4990,4454,3893,3310,2699,2065,1456,855,237,-367,-968,-1567,-2151,-2714,-3244,-3789,
-4342,-4884,-5414,-5916,-6408,-6893,-7351,-7807,-8219,-8585,-8911,-9210,-9476,-9729,-9935,-10103,-10256,-10371,-10463,-10544,
-10599,-10618,-10598,-10532,-10442,-10323,-10160,-9964,-9724,-9450,-9157,-8849,-8526,-8194,-7838,-7463,-7093,-6720,-6339,-5941,
-5533,-5108,-4669,-4225,-3790,-3348,-2908,-2454,-2016,-1595,-1175,-773,-378,17,405,787,1170,1541,1917,2311,
2709,3104,3496,3882,4262,4638,5011,5381,5732,6077,6401,6727,7065,7381,7705,8017,8315,8608,8888,9143,
9397,9599,9772,9907,10015,10094,10153,10154,10129,10069,9987,9892,9783,9634,9444,9214,8961,8681,8364,8016,
7614,7188,6727,6239,5749,5252,4717,4180,3637,3091,2549,1996,1432,859,263,-330,-933,-1520,-2120,-2725,
-3320,-3891,-4440,-4960,-5447,-5928,-6395,-6827,-7259,-7635,-8005,-8368,-8722,-9046,-9351,-9618,-9848,-10043,-10209,-10348,
-10433,-10475,-10475,-10438,-10389,-10313,-10206,-10070,-9901,-9720,-9516,-9292,-9053,-8777,-8456,-8113,-7761,-7378,-6992,-6587,
-6166,-5745,-5304,-4881,-4471,-4058,-3640,-3227,-2815,-2418,-2005,-1603,-1186,-769,-340,69,474,860,1265,1652,
2034,2413,2779,3139,3489,3849,4217,4594,4965,5334,5712,6086,6471,6839,7205,7549,7869,8178,8474,8755,
9017,9243,9451,9666,9853,10028,10183,10301,10383,10440,10461,10454,10397,10291,10148,9963,9750,9507,9233,8932,
8600,8252,7873,7496,7083,6649,6170,5665,5137,4597,4026,3450,2849,2225,1597,981,393,-212,-795,-1390,
-1978,-2551,-3116,-3674,-4231,-4796,-5360,-5889,-6399,-6895,-7364,-7817,-8231,-8623,-8977,-9270,-9545,-9797,-10037,-10253,
-10423,-10566,-10696,-10787,-10858,-10905,-10903,-10864,-10773,-10640,-10490,-10298,-10074,-9816,-9521,-9228,-8921,-8590,-8259,-7905,
-7531,-7144,-6749,-6349,-5939,-5489,-5033,-4587,-4116,-3668,-3216,-2785,-2344,-1921,-1488,-1091,-693,-303,87,483,
874,1270,1660,2043,2453,2858,3247,3630,4010,4366,4736,5085,5443,5788,6119,6458,6780,7117,7464,7786,
8100,8410,8692,8958,9211,9421,9611,9758,9875,9962,10044,10084,10097,10076,10036,9967,9875,9758,9603,9408,
9167,8881,8582,8248,7859,7444,6998,6534,6063,5574,5084,4578,4051,3507,2960,2413,1855,1257,654,43,
-581,-1189,-1783,-2388,-2971,-3564,-4116,-4639,-5145,-5627,-6096,-6564,-7003,-7433,-7848,-8220,-8600,-8965,-9300,-9589,
-9840,-10054,-10244,-10382,-10490,-10560,-10590,-10578,-10549,-10493,-10430,-10335,-10209,-10050,-9862,-9650,-9420,-9154,-8860,-8517,
-8142,-7768,-7378,-6978,-6568,-6152,-5732,-5311,-4891,-4492,-4074,-3650,-3225,-2789,-2361,-1940,-1505,-1072,-640,-204,
215,617,1007,1392,1783,2171,2533,2911,3271,3657,4029,4420,4817,5210,5584,5981,6370,6738,7115,7457,
7780,8084,8387,8686,8973,9237,9483,9710,9927,10132,10317,10463,10585,10650,10683,10672,10631,10569,10443,10276,
10079,9869,9638,9372,9066,8757,8412,8032,7633,7214,6756,6257,5706,5165,4596,4006,3425,2822,2198,1600,
995,406,-171,-765,-1361,-1954,-2544,-3131,-3714,-4303,-4873,-5444,-5983,-6484,-6974,-7415,-7848,-8251,-8621,-8954,
-9257,-9533,-9796,-10043,-10276,-10478,-10630,-10750,-10850,-10919,-10938,-10912,-10843,-10746,-10589,-10416,-10222,-10006,-9750,-9484,
-9192,-8912,-8596,-8262,-7921,-7536,-7136,-6738,-6315,-5891,-5449,-4981,-4524,-4080,-3639,-3213,-2787,-2374,-1954,-1539,
-1146,-750,-358,46,454,858,1261,1672,2070,2464,2860,3249,3621,3984,4325,4685,5050,5407,5765,6120,
6471,6834,7187,7546,7894,8223,8521,8811,9074,9315,9514,9702,9858,9966,10075,10167,10227,10273,10270,10246,
10202,10109,9993,9832,9617,9364,9074,8739,8404,8020,7612,7188,6740,6278,5818,5333,4838,4319,3769,3208,
2645,2054,1448,820,0,-11,-280,-728,-1091,-1299,-1350,-1234,-1037,-853,-545,-39,571,1112,1553,1841,
2061,2314,2643,2978,3329,3749,4293,4971,5761,6575,7317,7964,8525,8979,9305,9491,9552,9532,9492,9461,
9456,9441,9399,9312,9169,8956,8635,8180,7592,6905,6153,5384,4618,3869,3146,2471,1869,1342,843,335,
-196,-774,-1395,-2055,-2750,-3487,-4248,-4997,-5714,-6384,-6990,-7487,-7893,-8208,-8454,-8647,-8848,-9062,-9294,-9558,
-9882,-10235,-10593,-10965,-11293,-11535,-11658,-11678,-11566,-11338,-11018,-10628,-10178,-9719,-9269,-8829,-8411,-8005,-7588,-7141,
-6659,-6139,-5551,-4904,-4216,-3515,-2816,-2171,-1589,-1086,-654,-304,-22,190,352,466,564,644,718,791,
860,914,960,1002,1050,1102,1174,1268,1376,1497,1636,1789,1951,2141,2367,2627,2932,3281,3679,4118,
4601,5115,5630,6129,6592,6989,7320,7602,7844,8038,8196,8335,8453,8558,8659,8757,8806,8799,8716,8540,
8264,7916,7480,6974,6422,5869,5326,4815,4354,3947,3554,3189,2838,2457,2036,1569,1040,443,-195,-835,
-1489,-2121,-2710,-3250,-3735,-4136,-4472,-4777,-5067,-5358,-5677,-6032,-6412,-6814,-7247,-7705,-8140,-8537,-8873,-9124,
-9277,-9352,-9350,-9280,-9149,-9001,-8824,-8649,-8484,-8324,-8135,-7931,-7683,-7379,-7009,-6564,-6047,-5456,-4818,-4166,
-3512,-2879,-2282,-1724,-1213,-754,-349,15,336,623,876,1088,1253,1370,1436,1451,1412,1342,1245,1134,
1022,908,803,712,632,569,517,487,471,488,540,644,805,1040,1342,1714,2145,2618,3124,3661,
4208,4773,5360,5958,6565,7187,7824,8469,9109,9730,10291,10764,11149,11428,11591,11653,11623,11501,11316,11106,
10893,10666,10448,10224,9977,9683,9358,8966,8491,7929,7306,6613,5886,5153,4432,3719,3048,2424,1852,1319,
829,340,-169,-707,-1270,-1875,-2516,-3179,-3866,-4560,-5225,-5837,-6396,-6895,-7329,-7718,-8070,-8381,-8672,-8968,
-9279,-9611,-9975,-10345,-10698,-11017,-11311,-11532,-11679,-11732,-11705,-11568,-11367,-11117,-10831,-10505,-10170,-9821,-9451,-9072,
-8673,-8228,-7723,-7158,-6531,-5856,-5152,-4437,-3715,-3012,-2349,-1737,-1182,-695,-275,91,408,678,902,1084,
1229,1330,1398,1430,1434,1409,1377,1334,1301,1275,1265,1269,1291,1338,1411,1504,1634,1787,1980,2214,
2504,2840,3224,3641,4088,4534,4979,5419,5837,6219,6578,6904,7212,7515,7819,8113,8385,8633,8845,8996,
9088,9101,9024,8849,8604,8297,7943,7563,7177,6787,6408,6052,5708,5361,5002,4613,4171,3681,3152,2577,
1950,1300,638,-10,-633,-1195,-1710,-2188,-2636,-3043,-3446,-3839,-4235,-4664,-5129,-5618,-6118,-6625,-7111,-7556,
-7960,-8318,-8599,-8808,-8960,-9054,-9109,-9144,-9166,-9180,-9173,-9167,-9151,-9108,-9019,-8876,-8650,-8349,-7972,-7537,
-7034,-6495,-5921,-5332,-4746,-4188,-3647,-3131,-2640,-2178,-1729,-1308,-909,-554,-218,70,316,512,659,763,
830,860,859,840,801,753,695,639,583,533,490,474,480,530,624,771,967,1225,1522,1876,
2265,2697,3151,3632,4134,4672,5233,5829,6453,7096,7733,8360,8964,9524,10009,10420,10735,10954,11095,11169,
11187,11157,11093,11005,10891,10757,10602,10392,10124,9793,9399,8933,8419,7854,7246,6606,5976,5359,4768,4207,
3671,3140,2618,2101,1572,1016,437,-192,-852,-1535,-2205,-2873,-3522,-4131,-4702,-5236,-5711,-6142,-6544,-6941,
-7333,-7724,-8129,-8541,-8950,-9366,-9779,-10164,-10497,-10776,-10985,-11119,-11194,-11198,-11140,-11023,-10868,-10678,-10465,-10232,
-9980,-9676,-9328,-8926,-8469,-7946,-7367,-6730,-6041,-5318,-4598,-3877,-3189,-2531,-1924,-1356,-846,-392,10,363,
657,903,1098,1241,1332,1375,1379,1352,1297,1226,1150,1067,992,923,874,831,804,796,810,852,
934,1050,1218,1430,1700,2011,2376,2776,3202,3641,4101,4558,5016,5471,5930,6377,6825,7256,7688,8088,
8459,8772,9014,9192,9296,9319,9269,9159,8982,8759,8516,8263,7992,7706,7408,7092,6747,6384,5981,5533,
5040,4507,3937,3358,2773,2197,1622,1068,545,53,-425,-871,-1319,-1777,-2247,-2725,-3216,-3718,-4229,-4736,
-5245,-5723,-6168,-6566,-6930,-7247,-7532,-7784,-8004,-8197,-8380,-8572,-8751,-8913,-9063,-9175,-9246,-9278,-9252,-9166,
-9002,-8776,-8479,-8134,-7752,-7350,-6918,-6472,-6013,-5551,-5084,-4620,-4155,-3685,-3214,-2759,-2317,-1900,-1510,-1156,
-838,-572,-336,-153,-3,105,190,239,272,279,273,253,232,217,217,230,273,341,453,602,
789,1018,1279,1575,1905,2278,2678,3118,3592,4100,4639,5214,5806,6407,7000,7574,8103,8593,9028,9403,
9705,9951,10139,10275,10368,10434,10448,10417,10339,10221,10046,9816,9530,9178,8767,8313,7827,7319,6796,6267,
5730,5195,4678,4172,3664,3149,2622,2069,1501,919,327,-279,-895,-1507,-2101,-2681,-3214,-3728,-4219,-4687,
-5127,-5557,-5967,-6379,-6792,-7216,-7637,-8043,-8434,-8811,-9142,-9445,-9711,-9923,-10074,-10174,-10227,-10240,-10214,-10159,
-10058,-9916,-9740,-9525,-9259,-8943,-8570,-8123,-7614,-7054,-6457,-5812,-5144,-4462,-3777,-3107,-2460,-1843,-1268,-724,
-232,215,602,934,1209,1427,1589,1698,1753,1767,1738,1681,1597,1498,1384,1262,1135,1011,889,781,
683,611,562,550,579,661,791,972,1209,1491,1822,2186,2586,3014,3464,3922,4408,4904,5411,5913,
6420,6904,7370,7804,8200,8533,8803,9002,9128,9195,9209,9160,9065,8917,8743,8528,8289,8026,7721,7370,
6985,6568,6108,5625,5114,4576,4019,3457,2901,2356,1812,1287,759,234,-277,-781,-1299,-1819,-2345,-2877,
-3413,-3929,-4436,-4928,-5408,-5854,-6285,-6682,-7045,-7378,-7705,-8010,-8303,-8574,-8830,-9064,-9285,-9487,-9654,-9779,
-9861,-9892,-9871,-9798,-9687,-9512,-9286,-9014,-8706,-8361,-7989,-7592,-7160,-6699,-6219,-5719,-5207,-4684,-4157,-3624,
-3103,-2605,-2132,-1689,-1280,-914,-576,-289,-44,158,326,457,563,635,692,732,766,795,835,883,
950,1035,1143,1272,1431,1621,1837,2081,2365,2675,3033,3428,3863,4328,4818,5338,5872,6416,6955,7473,
7956,8408,8821,9192,9525,9808,10033,10212,10348,10438,10473,10458,10388,10255,10063,9831,9545,9210,8829,8411,
7959,7494,7017,6537,6034,5525,5007,4480,3954,3420,2865,2297,1723,1141,561,-19,-585,-1155,-1710,-2242,
-2753,-3250,-3720,-4183,-4642,-5090,-5522,-5946,-6361,-6767,-7164,-7552,-7914,-8241,-8534,-8806,-9043,-9242,-9409,-9535,
-9614,-9657,-9671,-9652,-9582,-9468,-9302,-9085,-8820,-8506,-8130,-7700,-7213,-6686,-6109,-5514,-4895,-4262,-3619,-2984,
-2364,-1768,-1203,-678,-196,241,626,954,1223,1446,1604,1723,1785,1808,1791,1740,1659,1554,1427,1292,
1140,992,849,723,605,525,472,459,489,568,696,879,1101,1381,1696,2054,2453,2886,3346,3837,
4346,4871,5415,5965,6503,7023,7516,7978,8395,8766,9079,9318,9495,9609,9661,9658,9602,9491,9325,9109,
8858,8567,8233,7865,7456,7000,6523,6030,5506,4963,4402,3827,3248,2670,2100,1524,948,373,-203,-773,
-1335,-1894,-2456,-3018,-3572,-4111,-4642,-5150,-5644,-6128,-6601,-7038,-7456,-7850,-8224,-8577,-8918,-9234,-9527,-9785,
-10026,-10239,-10426,-10585,-10697,-10763,-10788,-10766,-10698,-10584,-10423,-10206,-9939,-9628,-9285,-8895,-8474,-8015,-7527,-7008,
-6482,-5934,-5383,-4821,-4260,-3707,-3177,-2674,-2203,-1765,-1367,-1013,-700,-437,-215,-41,105,219,313,382,
442,490,542,590,649,716,799,892,1012,1151,1324,1524,1757,2027,2344,2691,3085,3514,3975,4451,
4957,5475,6003,6525,7032,7512,7966,8391,8781,9131,9432,9686,9884,10039,10144,10204,10201,10147,10041,9885,
9677,9436,9142,8806,8425,8022,7593,7149,6684,6212,5713,5208,4699,4184,3661,3133,2581,2024,1464,907,
344,-216,-775,-1325,-1868,-2386,-2884,-3370,-3843,-4303,-4753,-5184,-5603,-6004,-6401,-6788,-7158,-7509,-7831,-8120,
-8384,-8619,-8811,-8968,-9078,-9144,-9170,-9158,-9108,-9015,-8871,-8684,-8443,-8162,-7832,-7455,-7024,-6546,-6020,-5467,
-4883,-4285,-3681,-3068,-2466,-1896,-1350,-843,-376,49,425,759,1040,1272,1457,1593,1685,1733,1739,1710,
1647,1557,1444,1323,1190,1060,931,824,737,678,648,663,712,811,950,1143,1381,1667,1991,2369,
2774,3226,3712,4222,4756,5307,5872,6441,7003,7552,8074,8555,8995,9391,9723,9994,10197,10323,10379,10377,
10319,10206,10041,9827,9570,9273,8948,8584,8188,7753,7281,6779,6256,5711,5150,4561,3966,3368,2776,2184,
1610,1029,452,-122,-687,-1249,-1803,-2364,-2927,-3493,-4041,-4581,-5102,-5617,-6101,-6571,-7021,-7437,-7823,-8195,
-8547,-8880,-9194,-9492,-9761,-10006,-10235,-10437,-10605,-10726,-10797,-10820,-10792,-10714,-10588,-10398,-10165,-9884,-9557,-9193,
-8801,-8373,-7907,-7412,-6887,-6343,-5781,-5204,-4625,-4038,-3474,-2928,-2414,-1945,-1517,-1134,-803,-517,-279,-84,
69,189,282,352,398,431,450,463,477,490,511,541,592,659,759,887,1051,1249,1488,1767,
2094,2459,2864,3296,3757,4231,4725,5227,5727,6201,6663,7096,7503,7879,8222,8524,8785,9000,9180,9308,
9390,9420,9386,9289,9140,8939,8686,8389,8052,7674,7270,6856,6427,5989,5536,5079,4603,4122,3628,3123,
2598,2059,1498,938,370,-183,-739,-1281,-1814,-2321,-2814,-3280,-3729,-4166,-4610,-5040,-5460,-5873,-6283,-6674,
-7067,-7438,-7783,-8094,-8364,-8598,-8796,-8954,-9081,-9153,-9190,-9204,-9181,-9123,-9031,-8897,-8712,-8481,-8194,-7863,
-7471,-7028,-6532,-6000,-5431,-4855,-4265,-3674,-3094,-2527,-1983,-1477,-998,-553,-141,222,552,830,1070,1250,
1389,1481,1532,1537,1510,1450,1371,1273,1172,1071,973,886,822,775,761,781,835,929,1067,1249,
1474,1749,2065,2424,2819,3261,3732,4242,4773,5324,5889,6466,7040,7610,8148,8656,9110,9509,9853,10132,
10336,10476,10544,10555,10511,10426,10296,10122,9900,9642,9344,9005,8634,8210,7740,7240,6703,6150,5581,5002,
4422,3834,3254,2686,2129,1571,1020,458,-113,-691,-1264,-1846,-2431,-3018,-3589,-4150,-4685,-5191,-5674,-6134,
-6570,-6987,-7371,-7742,-8093,-8443,-8787,-9113,-9420,-9703,-9957,-10178,-10360,-10499,-10580,-10601,-10569,-10480,-10350,-10171,
-9953,-9686,-9389,-9048,-8676,-8262,-7812,-7314,-6776,-6204,-5609,-4991,-4366,-3741,-3133,-2539,-1993,-1482,-1026,-615,
-249,69,335,563,746,894,1007,1089,1144,1175,1182,1178,1162,1143,1128,1118,1124,1149,1198,1281,
1395,1550,1744,1972,2249,2572,2931,3326,3755,4198,4665,5138,5614,6090,6554,6996,7429,7837,8228,8586,
8917,9200,9445,9631,9770,9846,9857,9794,9666,9473,9239,8959,8639,8291,7920,7528,7123,6711,6290,5841,
5371,4879,4365,3829,3268,2696,2104,1505,910,331,-236,-780,-1314,-1834,-2333,-2814,-3290,-3757,-4230,-4701,
-5183,-5653,-6112,-6553,-6986,-7384,-7759,-8091,-8386,-8636,-8852,-9040,-9203,-9333,-9438,-9509,-9560,-9583,-9575,-9520,
-9415,-9249,-9021,-8738,-8396,-8000,-7555,-7066,-6550,-6015,-5471,-4927,-4378,-3844,-3313,-2800,-2301,-1829,-1372,-954,
-564,-221,83,332,540,688,802,868,902,902,882,840,792,739,689,644,617,601,611,649,
724,827,970,1149,1375,1643,1952,2299,2690,3114,3577,4074,4605,5159,5725,6302,6875,7437,7973,8473,
8914,9304,9627,9894,10103,10253,10340,10380,10369,10322,10232,10100,9912,9679,9385,9052,8665,8236,7764,7253,
6714,6162,5603,5053,4498,3952,3402,2852,2311,1770,1215,645,64,-534,-1138,-1744,-2338,-2924,-3498,-4048,
-4565,-5060,-5520,-5959,-6384,-6801,-7203,-7604,-7982,-8371,-8740,-9105,-9450,-9755,-10020,-10248,-10421,-10549,-10626,-10658,
-10629,-10563,-10450,-10309,-10131,-9915,-9658,-9354,-9002,-8611,-8162,-7665,-7116,-6525,-5905,-5262,-4624,-3988,-3365,-2773,
-2217,-1702,-1230,-807,-429,-92,201,449,647,814,933,1015,1060,1080,1067,1038,991,942,890,850,
817,805,813,856,927,1040,1194,1385,1619,1897,2218,2582,2972,3393,3832,4288,4758,5237,5721,6202,
6678,7141,7597,8030,8438,8799,9114,9371,9562,9689,9749,9735,9659,9517,9330,9111,8855,8574,8273,7941,
7588,7209,6816,6386,5927,5423,4895,4343,3774,3190,2605,2019,1443,877,335,-186,-698,-1201,-1706,-2208,
-2704,-3205,-3712,-4219,-4727,-5223,-5707,-6161,-6580,-6976,-7341,-7667,-7961,-8222,-8459,-8670,-8870,-9055,-9224,-9359,
-9472,-9544,-9585,-9576,-9507,-9372,-9180,-8921,-8613,-8252,-7858,-7428,-6968,-6482,-5993,-5485,-4978,-4458,-3938,-3411,
-2894,-2387,-1902,-1437,-1008,-618,-272,22,264,460,612,718,793,830,847,838,817,792,759,727,
706,690,695,719,775,856,976,1125,1317,1541,1814,2123,2472,2864,3303,3770,4279,4811,5366,5922,
6475,7010,7525,8002,8437,8820,9151,9433,9664,9852,9999,10097,10144,10148,10097,10003,9843,9628,9349,9013,
8618,8192,7730,7245,6731,6217,5698,5186,4671,4166,3645,3117,2575,2017,1445,857,253,-361,-981,-1591,
-2186,-2754,-3303,-3819,-4322,-4795,-5243,-5680,-6113,-6541,-6973,-7401,-7819,-8227,-8622,-8995,-9337,-9645,-9901,-10111,
-10264,-10380,-10447,-10476,-10467,-10425,-10341,-10231,-10081,-9904,-9666,-9377,-9025,-8619,-8153,-7634,-7068,-6463,-5830,-5185,
-4541,-3911,-3304,-2724,-2165,-1653,-1176,-736,-341,13,321,582,798,962,1080,1155,1190,1189,1162,1107,
1049,977,901,839,781,742,717,729,763,841,956,1114,1309,1558,1840,2169,2530,2928,3350,3800,
4269,4757,5258,5780,6293,6811,7315,7806,8261,8677,9039,9335,9565,9725,9820,9853,9831,9749,9626,9462,
9273,9056,8807,8519,8199,7833,7434,6995,6523,6010,5469,4903,4333,3761,3198,2636,2085,1548,1026,503,
-1,-518,-1038,-1577,-2119,-2664,-3201,-3736,-4257,-4765,-5251,-5700,-6120,-6507,-6861,-7197,-7515,-7808,-8088,-8353,
-8610,-8854,-9078,-9276,-9444,-9555,-9626,-9639,-9606,-9504,-9347,-9136,-8876,-8570,-8246,-7883,-7494,-7078,-6633,-6167,
-5686,-5172,-4648,-4107,-3559,-3015,-2490,-1989,-1517,-1087,-696,-355,-63,185,382,541,666,757,825,862,
885,885,886,879,874,868,883,904,952,1021,1122,1251,1418,1615,1861,2142,2471,2836,3246,3694,
4180,4684,5213,5748,6275,6782,7274,7737,8171,8560,8916,9229,9504,9737,9935,10087,10184,10219,10202,10113,
9966,9756,9479,9145,8766,8354,7917,7469,7007,6536,6054,5566,5078,4578,4062,3525,2957,2374,1769,1161,
543,-71,-688,-1286,-1866,-2413,-2941,-3445,-3938,-4408,-4882,-5342,-5802,-6259,-6726,-7188,-7632,-8060,-8460,-8824,
-9156,-9448,-9694,-9897,-10059,-10180,-10270,-10336,-10374,-10381,-10352,-10287,-10178,-10023,-9809,-9544,-9201,-8802,-8337,-7829,
-7278,-6697,-6089,-5473,-4849,-4241,-3650,-3077,-2525,-1998,-1499,-1041,-612,-229,110,396,636,825,969,1062,
1113,1132,1125,1090,1036,976,911,844,791,749,725,727,754,820,924,1069,1253,1487,1752,2065,
2409,2795,3212,3662,4135,4640,5163,5708,6256,6809,7343,7859,8332,8772,9152,9475,9728,9916,10043,10122,
10149,10132,10071,9965,9819,9639,9420,9159,8841,8477,8070,7621,7138,6628,6091,5545,4991,4442,3904,3375,
2854,2327,1802,1269,737,194,-361,-933,-1504,-2085,-2647,-3195,-3717,-4224,-4699,-5155,-5578,-5973,-6351,-6718,
-7068,-7420,-7763,-8092,-8401,-8697,-8972,-9210,-9409,-9558,-9653,-9690,-9678,-9621,-9515,-9365,-9169,-8939,-8675,-8376,
-8053,-7690,-7287,-6844,-6365,-5854,-5320,-4757,-4190,-3611,-3053,-2515,-2011,-1539,-1114,-725,-383,-84,168,378,
554,698,806,891,946,979,992,998,996,999,996,1006,1032,1073,1140,1230,1359,1522,1723,1961,
2252,2582,2956,3361,3801,4265,4755,5242,5740,6221,6695,7144,7580,7997,8390,8744,9070,9356,9602,9798,
9936,10007,10011,9940,9810,9622,9379,9083,8751,8388,8003,7603,7199,6775,6339,5879,5395,4901,4381,3834,
3266,2672,2069,1459,856,262,-318,-886,-1437,-1962,-2474,-2969,-3455,-3945,-4435,-4922,-5406,-5888,-6362,-6834,
-7280,-7706,-8092,-8441,-8755,-9032,-9277,-9490,-9672,-9823,-9951,-10053,-10137,-10187,-10203,-10174,-10093,-9957,-9764,-9506,
-9187,-8805,-8369,-7883,-7366,-6827,-6262,-5685,-5101,-4521,-3942,-3381,-2830,-2298,-1786,-1303,-853,-453,-92,212,
472,677,838,945,1014,1042,1044,1016,974,915,850,780,724,666,636,624,641,689,770,895,
1059,1264,1508,1791,2115,2479,2882,3324,3801,4311,4840,5397,5956,6523,7067,7591,8077,8522,8914,9259,
9544,9769,9935,10060,10135,10171,10153,10093,9977,9815,9596,9330,9007,8636,8212,7754,7264,6758,6238,5709,
5181,4648,4120,3598,3072,2537,1994,1433,864,283,-303,-894,-1482,-2071,-2636,-3183,-3700,-4189,-4657,-5108,
-5533,-5954,-6348,-6747,-7129,-7515,-7888,-8252,-8583,-8898,-9172,-9412,-9610,-9759,-9855,-9904,-9906,-9870,-9797,-9690,
-9544,-9358,-9134,-8874,-8571,-8227,-7833,-7388,-6893,-6367,-5805,-5227,-4636,-4040,-3454,-2892,-2359,-1858,-1394,-969,
-587,-240,61,323,543,727,873,987,1064,1121,1144,1160,1152,1142,1133,1125,1121,1138,1172,1233,
1323,1449,1612,1815,2060,2354,2686,3054,3451,3875,4319,4779,5247,5721,6193,6659,7115,7567,7997,8412,
8790,9124,9415,9653,9831,9940,9982,9951,9862,9708,9517,9282,9009,8702,8372,8019,7654,7260,6845,6396,
5922,5410,4876,4320,3748,3157,2559,1955,1369,792,229,-319,-859,-1391,-1912,-2424,-2938,-3456,-3976,-4498,
-5013,-5515,-6010,-6476,-6926,-7346,-7737,-8092,-8412,-8699,-8970,-9214,-9435,-9637,-9818,-9969,-10096,-10186,-10248,-10248,
-10199,-10089,-9916,-9684,-9402,-9057,-8669,-8233,-7764,-7273,-6759,-6231,-5686,-5124,-4564,-4003,-3443,-2898,-2371,-1868,
-1393,-959,-574,-239,50,285,474,614,711,773,803,798,785,747,703,649,600,559,536,524,
547,583,664,769,920,1102,1332,1595,1905,2257,2654,3086,3566,4071,4611,5159,5729,6288,6846,7367,
7860,8312,8722,9090,9405,9680,9900,10070,10190,10267,10292,10266,10172,10025,9811,9551,9227,8865,8454,8013,
7538,7059,6567,6075,5569,5060,4543,4021,3488,2949,2386,1809,1217,619,16,-577,-1167,-1742,-2300,-2838,
-3346,-3834,-4300,-4755,-5202,-5641,-6073,-6500,-6916,-7328,-7727,-8106,-8459,-8781,-9060,-9304,-9501,-9667,-9783,-9862,
-9893,-9900,-9867,-9809,-9711,-9577,-9393,-9164,-8883,-8553,-8169,-7734,-7244,-6716,-6158,-5578,-4986,-4397,-3812,-3246,
-2697,-2182,-1698,-1248,-833,-457,-119,176,429,638,808,934,1029,1088,1114,1122,1109,1087,1055,1024,
999,989,990,1021,1078,1169,1297,1463,1667,1919,2203,2532,2888,3273,3684,4119,4571,5042,5518,6008,
6489,6973,7441,7896,8321,8706,9033,9314,9531,9686,9773,9797,9754,9665,9532,9355,9149,8906,8631,8319,
7980,7613,7213,6771,6300,5791,5260,4706,4141,3567,2992,2410,1846,1285,741,198,-336,-872,-1408,-1951,
-2489,-3029,-3566,-4104,-4635,-5151,-5642,-6111,-6551,-6967,-7356,-7720,-8061,-8372,-8666,-8941,-9208,-9451,-9674,-9870,
-10033,-10156,-10239,-10275,-10255,-10172,-10033,-9841,-9604,-9313,-8983,-8607,-8203,-7763,-7302,-6810,-6305,-5774,-5224,-4664,
-4103,-3544,-3004,-2478,-1987,-1526,-1113,-742,-424,-152,72,252,387,485,548,587,594,589,573,547,
514,486,470,465,480,516,585,679,808,971,1183,1428,1721,2055,2435,2859,3323,3815,4336,4873,
5424,5961,6501,7023,7512,7969,8391,8774,9126,9427,9692,9904,10063,10168,10215,10206,10137,9998,9800,9543,
9240,8893,8510,8102,7667,7216,6756,6293,5816,5329,4820,4299,3765,3217,2646,2069,1476,880,281,-305,
-877,-1429,-1977,-2495,-3000,-3484,-3960,-4424,-4884,-5340,-5800,-6246,-6684,-7104,-7511,-7898,-8253,-8573,-8858,-9098,
-9304,-9474,-9614,-9723,-9791,-9828,-9839,-9812,-9750,-9647,-9493,-9286,-9019,-8696,-8318,-7895,-7419,-6901,-6348,-5773,
-5198,-4611,-4025,-3455,-2895,-2362,-1848,-1371,-924,-512,-132,196,488,727,926,1077,1187,1259,1306,1313,
1303,1276,1245,1203,1167,1142,1129,1133,1169,1236,1336,1468,1640,1853,2100,2390,2711,3069,3456,3871,
4309,4774,5259,5760,6261,6770,7264,7746,8198,8612,8979,9293,9544,9740,9877,9956,9978,9945,9869,9756,
9599,9410,9181,8911,8596,8241,7849,7421,6961,6464,5939,5399,4852,4296,3744,3192,2642,2092,1555,1016,
478,-70,-621,-1181,-1741,-2306,-2853,-3401,-3930,-4450,-4944,-5410,-5847,-6268,-6664,-7044,-7406,-7750,-8075,-8391,
-8689,-8974,-9234,-9465,-9656,-9805,-9915,-9974,-9983,-9937,-9842,-9693,-9501,-9271,-9001,-8691,-8346,-7963,-7550,-7096,
-6619,-6110,-5579,-5021,-4458,-3891,-3340,-2793,-2281,-1800,-1357,-956,-604,-293,-37,185,362,502,607,677,
721,747,747,741,724,702,685,674,681,704,749,823,924,1061,1238,1458,1719,2027,2372,2764,
3198,3656,4147,4650,5166,5680,6192,6689,7176,7631,8069,8468,8833,9169,9461,9699,9889,10012,10081,10082,
10021,9895,9711,9467,9180,8852,8496,8113,7706,7282,6840,6385,5917,5431,4922,4396,3845,3278,2698,2108,
1510,919,322,-261,-832,-1379,-1913,-2435,-2949,-3447,-3939,-4425,-4904,-5385,-5861,-6328,-6786,-7213,-7625,-8003,
-8361,-8681,-8971,-9218,-9437,-9616,-9777,-9908,-10015,-10086,-10128,-10123,-10089,-10004,-9868,-9674,-9419,-9103,-8737,-8315,
-7851,-7347,-6809,-6249,-5672,-5098,-4517,-3941,-3372,-2819,-2280,-1775,-1289,-844,-438,-74,251,519,745,916,
1049,1135,1192,1211,1213,1189,1158,1117,1079,1046,1022,1014,1034,1076,1153,1264,1407,1586,1805,2064,
2359,2692,3063,3463,3897,4361,4853,5365,5891,6418,6937,7444,7925,8371,8774,9126,9426,9667,9856,9993,
10080,10119,10104,10041,9940,9794,9594,9358,9062,8726,8337,7917,7467,6985,6475,5952,5423,4887,4352,3818,
3279,2741,2193,1647,1094,531,-33,-612,-1194,-1769,-2336,-2888,-3418,-3934,-4426,-4903,-5349,-5774,-6183,-6584,
-6969,-7345,-7710,-8060,-8388,-8702,-8985,-9245,-9458,-9632,-9760,-9840,-9880,-9871,-9815,-9720,-9575,-9394,-9173,-8920,
-8628,-8290,-7906,-7488,-7026,-6534,-6006,-5454,-4889,-4313,-3744,-3189,-2660,-2155,-1690,-1260,-876,-535,-231,30,
242,427,569,682,758,808,832,845,835,824,805,793,784,789,817,873,948,1065,1209,1403,
1635,1914,2231,2595,2988,3419,3878,4354,4846,5342,5843,6341,6828,7309,7771,8205,8612,8983,9312,9597,
9825,9989,10091,10120,10093,9998,9851,9650,9404,9112,8800,8453,8092,7703,7293,6855,6397,5915,5414,4886,
4335,3762,3180,2590,2003,1416,837,264,-295,-841,-1375,-1897,-2413,-2933,-3444,-3949,-4454,-4950,-5447,-5926,
-6392,-6835,-7252,-7633,-7992,-8318,-8618,-8889,-9132,-9340,-9532,-9695,-9841,-9954,-10034,-10065,-10056,-9995,-9885,-9714,
-9485,-9193,-8851,-8458,-8028,-7557,-7060,-6530,-5986,-5433,-4870,-4307,-3747,-3187,-2646,-2122,-1622,-1162,-737,-359,
-27,263,494,678,820,918,980,1005,1007,988,956,911,867,820,787,764,760,780,830,906,
1023,1173,1364,1587,1852,2161,2513,2896,3324,3780,4270,4781,5312,5848,6385,6902,7397,7864,8293,8680,
9018,9305,9544,9734,9873,9970,10011,10003,9939,9825,9661,9444,9171,8852,8480,8075,7631,7172,6686,6188,
5674,5159,4642,4127,3602,3065,2517,1963,1393,817,241,-345,-932,-1518,-2088,-2637,-3169,-3678,-4170,-4643,
-5098,-5541,-5965,-6382,-6790,-7198,-7589,-7966,-8321,-8657,-8959,-9232,-9463,-9660,-9802,-9907,-9967,-9995,-9975,-9929,
-9833,-9707,-9534,-9327,-9075,-8780,-8433,-8035,-7586,-7110,-6588,-6041,-5473,-4901,-4326,-3761,-3215,-2700,-2212,-1749,
-1326,-945,-600,-294,-29,195,385,537,647,734,780,811,821,816,805,791,776,780,799,830,
889,988,1108,1280,1484,1734,2019,2349,2711,3106,3527,3977,4446,4926,5412,5907,6400,6897,7373,7838,
8276,8677,9040,9353,9613,9815,9945,10008,10015,9956,9853,9694,9496,9256,8982,8681,8357,8002,7617,7199,
6753,6281,5781,5253,4710,4147,3574,2994,2417,1850,1293,734,193,-348,-878,-1407,-1931,-2460,-2981,-3511,
-4031,-4538,-5039,-5519,-5984,-6425,-6838,-7224,-7578,-7906,-8216,-8501,-8772,-9011,-9237,-9430,-9608,-9752,-9857,-9920,
-9939,-9899,-9812,-9664,-9468,-9206,-8903,-8546,-8152,-7725,-7272,-6783,-6277,-5746,-5201,-4647,-4088,-3528,-2977,-2432,
-1919,-1432,-985,-581,-225,83,342,560,719,844,927,980,1005,1006,984,955,919,878,845,820,
810,814,845,907,1001,1125,1291,1491,1736,2019,2349,2719,3132,3579,4057,4557,5085,5609,6142,6659,
7160,7627,8073,8479,8844,9165,9441,9672,9858,9988,10074,10103,10073,9980,9831,9627,9372,9062,8707,8317,
7893,7449,6988,6517,6029,5537,5028,4517,3992,3456,2901,2335,1753,1170,575,-15,-608,-1182,-1749,-2301,
-2827,-3336,-3829,-4302,-4772,-5229,-5679,-6120,-6555,-6978,-7397,-7797,-8171,-8517,-8830,-9112,-9350,-9556,-9726,-9853,
-9938,-9999,-10019,-10012,-9973,-9888,-9763,-9594,-9377,-9108,-8785,-8412,-7984,-7513,-7001,-6466,-5907,-5336,-4761,-4194,
-3638,-3102,-2588,-2105,-1642,-1215,-824,-472,-160,113,345,529,681,792,867,916,937,942,938,918,
908,899,900,922,963,1036,1135,1271,1441,1657,1901,2187,2509,2860,3243,3661,4092,4552,5025,5514,
6004,6502,6993,7472,7927,8352,8733,9071,9352,9577,9740,9839,9872,9859,9794,9685,9529,9337,9104,8842,
8541,8208,7842,7439,6997,6519,6017,5496,4957,4397,3840,3273,2713,2154,1607,1064,525,-20,-559,-1104,
-1644,-2196,-2738,-3285,-3819,-4344,-4845,-5329,-5786,-6232,-6646,-7033,-7399,-7747,-8066,-8376,-8670,-8950,-9202,-9433,
-9631,-9807,-9936,-10021,-10058,-10041,-9970,-9850,-9676,-9457,-9189,-8878,-8523,-8139,-7720,-7270,-6793,-6283,-5750,-5196,
-4629,-4061,-3495,-2936,-2392,-1883,-1410,-978,-593,-247,41,288,486,649,764,852,909,939,948,935,
917,888,862,840,832,832,857,903,975,1088,1230,1418,1645,1912,2225,2576,2973,3407,3872,4359,
4873,5390,5917,6429,6933,7418,7874,8299,8703,9063,9386,9658,9885,10060,10183,10245,10244,10176,10048,9858,
9618,9327,8999,8630,8236,7819,7381,6936,6469,5989,5490,4978,4448,3903,3337,2758,2162,1559,960,367,
-227,-798,-1359,-1906,-2441,-2956,-3457,-3944,-4435,-4917,-5396,-5866,-6327,-6779,-7210,-7623,-8019,-8372,-8696,-8984,
-9241,-9464,-9654,-9810,-9938,-10029,-10098,-10132,-10131,-10097,-10008,-9871,-9678,-9434,-9132,-8777,-8368,-7914,-7422,-6904,
-6361,-5806,-5245,-4682,-4124,-3583,-3054,-2545,-2061,-1605,-1177,-790,-445,-141,116,328,501,627,723,786,
814,824,815,801,787,769,761,768,792,842,920,1024,1169,1344,1561,1815,2104,2425,2782,3172,
3593,4040,4512,5007,5513,6028,6536,7043,7529,7990,8402,8780,9101,9369,9576,9732,9831,9878,9874,9831,
9740,9616,9437,9218,8955,8655,8307,7924,7500,7042,6557,6049,5525,4998,4462,3924,3385,2850,2313,1776,
1241,696,143,-414,-975,-1536,-2092,-2648,-3189,-3712,-4220,-4705,-5160,-5597,-6014,-6416,-6801,-7169,-7518,-7865,
-8189,-8497,-8787,-9051,-9280,-9473,-9623,-9734,-9792,-9802,-9759,-9669,-9540,-9364,-9146,-8891,-8593,-8257,-7882,-7476,
-7028,-6546,-6026,-5482,-4923,-4345,-3775,-3212,-2665,-2142,-1654,-1202,-797,-433,-116,162,391,585,734,854,
930,986,1009,1020,1005,983,953,928,901,897,902,929,980,1062,1184,1340,1534,1776,2056,2386,
2751,3159,3596,4064,4546,5042,5553,6060,6560,7046,7518,7970,8398,8794,9158,9477,9741,9947,10102,10198,
10220,10178,10080,9916,9706,9445,9152,8825,8468,8086,7682,7260,6818,6354,5868,5353,4821,4266,3701,3118,
2530,1935,1337,753,181,-381,-929,-1466,-1997,-2515,-3033,-3534,-4036,-4537,-5031,-5516,-5995,-6451,-6895,-7305,
-7694,-8051,-8381,-8670,-8931,-9168,-9378,-9564,-9724,-9853,-9959,-10022,-10054,-10041,-9983,-9871,-9695,-9467,-9185,-8843,
-8460,-8028,-7565,-7070,-6548,-6017,-5471,-4923,-4369,-3819,-3277,-2752,-2247,-1765,-1315,-902,-528,-207,73,304,
491,630,735,801,837,849,848,827,803,775,756,738,742,764,817,889,995,1132,1311,1518,
1771,2057,2382,2740,3134,3563,4027,4512,5015,5530,6047,6561,7055,7524,7963,8359,8710,9010,9260,9461,
9609,9713,9763,9769,9727,9645,9507,9320,9078,8792,8459,8087,7672,7231,6760,6272,5765,5256,4741,4226,
3700,3172,2641,2102,1555,1000,435,-136,-714,-1287,-1854,-2411,-2950,-3473,-3974,-4453,-4917,-5356,-5777,-6195,
-6593,-6989,-7368,-7731,-8083,-8417,-8729,-9013,-9253,-9465,-9627,-9747,-9824,-9864,-9850,-9803,-9707,-9583,-9418,-9212,
-8964,-8678,-8339,-7961,-7538,-7075,-6574,-6042,-5482,-4914,-4337,-3769,-3216,-2684,-2179,-1707,-1273,-881,-524,-210,
63,294,487,641,758,843,898,927,934,924,905,882,858,845,839,858,894,963,1056,1194,
1368,1586,1840,2144,2478,2857,3264,3696,4155,4633,5117,5612,6108,6604,7090,7557,8008,8432,8822,9170,
9465,9704,9881,9991,10040,10032,9958,9831,9652,9432,9177,8887,8564,8221,7846,7440,7013,6563,6081,5567,
5033,4476,3911,3330,2752,2172,1593,1018,459,-93,-631,-1169,-1700,-2231,-2756,-3283,-3803,-4317,-4827,-5326,
-5806,-6265,-6697,-7109,-7493,-7848,-8179,-8483,-8760,-9012,-9248,-9457,-9652,-9814,-9942,-10032,-10083,-10086,-10042,-9945,
-9787,-9571,-9303,-8986,-8631,-8226,-7792,-7320,-6828,-6309,-5779,-5228,-4678,-4110,-3552,-2996,-2466,-1951,-1470,-1015,
-613,-252,59,319,537,707,840,933,997,1031,1049,1041,1033,1009,991,978,975,984,1019,1076,
1162,1277,1428,1612,1838,2098,2405,2744,3129,3541,3991,4471,4975,5485,6007,6518,7022,7501,7956,8369,
8752,9082,9377,9624,9826,9982,10086,10138,10136,10081,9975,9813,9594,9324,8996,8635,8237,7813,7361,6895,
6411,5920,5417,4913,4397,3870,3327,2778,2210,1640,1050,463,-127,-711,-1289,-1846,-2390,-2911,-3421,-3911,
-4384,-4839,-5289,-5728,-6160,-6585,-7002,-7403,-7785,-8139,-8473,-8774,-9040,-9268,-9453,-9600,-9709,-9780,-9815,-9819,
-9778,-9707,-9591,-9445,-9248,-9006,-8709,-8361,-7967,-7528,-7046,-6535,-5994,-5437,-4870,-4305,-3749,-3215,-2694,-2208,
-1746,-1317,-926,-568,-253,29,267,464,618,738,823,881,912,920,917,904,887,872,871,878,
909,964,1049,1164,1319,1511,1745,2019,2322,2671,3048,3457,3888,4343,4813,5304,5795,6300,6796,7286,
7757,8203,8613,8984,9305,9573,9774,9915,9990,10013,9978,9889,9753,9578,9362,9114,8831,8510,8158,7773,
7351,6899,6420,5910,5379,4826,4261,3691,3121,2551,1992,1428,874,320,-223,-771,-1313,-1869,-2416,-2965,
-3507,-4043,-4561,-5070,-5553,-6024,-6462,-6878,-7268,-7637,-7984,-8312,-8620,-8912,-9182,-9427,-9654,-9854,-10017,-10135,
-10212,-10239,-10217,-10143,-10014,-9833,-9606,-9329,-9014,-8656,-8267,-7838,-7382,-6889,-6383,-5845,-5295,-4729,-4165,-3598,
-3049,-2516,-2018,-1555,-1127,-744,-414,-125,113,309,464,582,662,722,748,760,753,739,720,703,
690,689,707,742,807,895,1020,1176,1378,1615,1895,2218,2580,2978,3419,3880,4369,4880,5396,5907,
6414,6906,7377,7821,8238,8614,8959,9254,9514,9721,9881,9980,10024,10008,9934,9794,9607,9363,9069,8735,
8372,7978,7568,7132,6679,6215,5741,5252,4741,4220,3681,3124,2554,1976,1389,806,218,-354,-924,-1466,
-2009,-2527,-3031,-3521,-4005,-4480,-4943,-5398,-5856,-6295,-6727,-7142,-7537,-7901,-8241,-8542,-8819,-9054,-9255,-9418,
-9553,-9659,-9729,-9769,-9779,-9746,-9671,-9554,-9391,-9176,-8906,-8583,-8206,-7781,-7315,-6820,-6299,-5755,-5202,-4646,
-4093,-3554,-3021,-2517,-2029,-1573,-1143,-752,-395,-85,193,423,609,751,863,934,979,999,1000,986,
972,949,938,936,952,984,1050,1141,1265,1423,1620,1858,2131,2435,2777,3157,3563,3996,4454,4929,
5425,5932,6435,6942,7431,7898,8329,8727,9073,9371,9603,9786,9903,9972,9983,9953,9871,9744,9576,9371,
9120,8833,8500,8132,7722,7282,6806,6309,5793,5256,4711,4161,3612,3063,2512,1964,1419,868,317,-242,
-803,-1363,-1925,-2489,-3038,-3580,-4097,-4603,-5088,-5551,-5991,-6412,-6804,-7187,-7550,-7903,-8237,-8555,-8848,-9128,
-9374,-9593,-9770,-9918,-10007,-10052,-10048,-10002,-9899,-9756,-9562,-9332,-9057,-8742,-8392,-8009,-7581,-7119,-6621,-6100,
-5552,-4991,-4419,-3848,-3288,-2745,-2231,-1748,-1311,-912,-554,-240,24,249,430,577,684,760,807,835,
836,830,810,793,771,758,758,779,812,881,977,1106,1279,1487,1739,2033,2369,2746,3158,3599,
4069,4551,5049,5549,6051,6541,7019,7477,7918,8326,8701,9036,9330,9573,9768,9897,9971,9975,9919,9804,
9638,9416,9152,8845,8508,8142,7756,7351,6922,6472,6001,5511,5000,4474,3922,3359,2785,2195,1609,1027,
448,-122,-684,-1233,-1769,-2294,-2807,-3310,-3814,-4308,-4801,-5283,-5758,-6221,-6668,-7091,-7495,-7870,-8215,-8525,
-8813,-9063,-9295,-9480,-9652,-9787,-9900,-9982,-10030,-10033,-10000,-9910,-9769,-9581,-9335,-9035,-8682,-8279,-7842,-7367,
-6865,-6344,-5806,-5261,-4709,-4159,-3624,-3096,-2583,-2091,-1626,-1196,-801,-451,-140,124,346,520,660,756,
823,864,881,882,876,863,853,846,856,881,930,1000,1103,1240,1410,1615,1854,2133,2448,2792,
3179,3594,4040,4512,5004,5509,6024,6535,7042,7524,7975,8393,8763,9090,9369,9593,9758,9878,9946,9969,
9941,9867,9745,9578,9360,9100,8791,8440,8048,7618,7161,6681,6181,5673,5148,4623,4086,3553,3020,2480,
1929,1377,817,248,-325,-898,-1470,-2034,-2592,-3133,-3654,-4155,-4631,-5100,-5543,-5973,-6386,-6786,-7170,-7547,
-7908,-8253,-8576,-8873,-9142,-9379,-9571,-9732,-9839,-9912,-9931,-9908,-9847,-9749,-9600,-9416,-9189,-8923,-8615,-8263,
-7865,-7434,-6957,-6448,-5905,-5351,-4786,-4213,-3647,-3100,-2575,-2077,-1617,-1195,-810,-468,-167,93,312,496,
641,752,824,877,903,912,904,891,875,863,854,862,889,942,1021,1139,1289,1480,1709,1981,
2293,2652,3031,3452,3896,4364,4845,5337,5828,6326,6812,7291,7752,8193,8599,8967,9290,9571,9790,9949,
10049,10084,10058,9968,9834,9647,9421,9151,8853,8523,8165,7779,7374,6938,6479,5988,5483,4946,4403,3833,
3262,2678,2099,1520,957,396,-154,-703,-1242,-1776,-2300,-2823,-3341,-3857,-4365,-4865,-5353,-5826,-6277,-6711,
-7117,-7497,-7850,-8174,-8472,-8745,-8995,-9222,-9425,-9589,-9741,-9850,-9932,-9969,-9957,-9896,-9783,-9611,-9395,-9117,
-8799,-8432,-8022,-7578,-7112,-6615,-6099,-5569,-5026,-4476,-3930,-3383,-2852,-2331,-1844,-1382,-959,-577,-240,57,
301,505,665,784,870,925,957,970,970,957,948,934,935,942,975,1023,1100,1203,1343,1510,
1721,1960,2240,2560,2919,3313,3746,4201,4681,5182,5692,6203,6712,7199,7667,8101,8496,8854,9166,9434,
9657,9827,9951,10022,10047,10023,9943,9808,9621,9386,9097,8766,8398,7998,7557,7101,6628,6139,5644,5138,
4621,4098,3564,3025,2474,1916,1338,764,178,-402,-976,-1545,-2099,-2641,-3164,-3663,-4149,-4618,-5075,-5520,
-5955,-6381,-6796,-7192,-7578,-7945,-8294,-8613,-8902,-9150,-9361,-9537,-9671,-9768,-9826,-9844,-9823,-9766,-9669,-9547,
-9358,-9139,-8864,-8550,-8183,-7778,-7324,-6836,-6306,-5765,-5207,-4649,-4092,-3544,-3012,-2514,-2035,-1595,-1184,-813,
-480,-189,65,276,453,585,687,758,796,815,811,799,779,760,745,740,750,786,844,933,
1056,1222,1417,1661,1936,2256,2609,2995,3405,3845,4303,4782,5265,5763,6253,6746,7219,7684,8117,8516,
8870,9173,9420,9609,9739,9810,9817,9772,9670,9524,9338,9116,8854,8556,8230,7868,7479,7054,6601,6120,
5612,5082,4539,3983,3421,2851,2285,1719,1165,613,66,-479,-1017,-1564,-2102,-2639,-3169,-3702,-4219,-4729,
-5220,-5697,-6147,-6578,-6984,-7369,-7728,-8065,-8373,-8669,-8941,-9192,-9419,-9626,-9794,-9929,-10028,-10084,-10092,-10048,
-9952,-9802,-9606,-9357,-9064,-8730,-8353,-7938,-7495,-7021,-6526,-6002,-5461,-4906,-4351,-3788,-3237,-2699,-2187,-1699,
-1250,-840,-477,-160,110,340,522,666,773,851,894,921,928,926,911,898,889,884,894,923,
975,1049,1157,1298,1474,1689,1942,2230,2568,2938,3348,3784,4258,4748,5250,5757,6266,6758,7241,7690,
8118,8509,8865,9175,9449,9674,9852,9972,10048,10059,10021,9919,9761,9549,9289,8982,8640,8264,7859,7430,
6980,6518,6044,5557,5053,4542,4006,3466,2906,2342,1762,1181,594,16,-560,-1122,-1675,-2204,-2728,-3234,
-3723,-4198,-4668,-5126,-5584,-6026,-6458,-6876,-7280,-7659,-8016,-8342,-8637,-8899,-9123,-9312,-9468,-9586,-9675,-9724,
-9742,-9724,-9667,-9570,-9430,-9242,-8997,-8706,-8361,-7972,-7539,-7062,-6557,-6029,-5479,-4925,-4373,-3823,-3288,-2769,
-2270,-1804,-1360,-957,-585,-255,37,287,495,658,792,883,946,978,987,984,969,949,937,924,
929,950,995,1064,1170,1306,1481,1691,1939,2225,2545,2902,3288,3699,4138,4603,5082,5578,6070,6573,
7063,7541,7991,8414,8792,9121,9392,9611,9769,9876,9920,9917,9863,9761,9611,9429,9206,8938,8639,8293,
7915,7501,7052,6574,6069,5546,5009,4462,3908,3354,2801,2243,1690,1138,586,34,-517,-1081,-1638,-2196,
-2748,-3289,-3819,-4338,-4838,-5320,-5776,-6214,-6629,-7022,-7401,-7764,-8098,-8422,-8723,-9010,-9273,-9506,-9704,-9871,
-9987,-10069,-10102,-10090,-10023,-9908,-9745,-9538,-9288,-8995,-8663,-8295,-7890,-7448,-6973,-6473,-5945,-5399,-4836,-4270,
-3708,-3162,-2628,-2128,-1661,-1228,-841,-496,-201,56,268,445,577,683,758,801,825,833,833,824,
808,804,801,823,854,913,1002,1121,1267,1462,1691,1966,2278,2626,3018,3441,3894,4370,4863,5361,
5861,6354,6843,7308,7754,8173,8566,8914,9228,9493,9711,9873,9977,10021,10011,9937,9808,9621,9385,9104,
8790,8435,8064,7661,7242,6799,6339,5862,5368,4850,4320,3770,3207,2628,2051,1466,882,301,-272,-829,
-1376,-1912,-2437,-2955,-3456,-3951,-4438,-4918,-5397,-5860,-6316,-6753,-7170,-7563,-7930,-8265,-8577,-8849,-9098,-9310,
-9495,-9648,-9775,-9866,-9930,-9953,-9939,-9887,-9781,-9626,-9422,-9160,-8846,-8484,-8079,-7634,-7159,-6651,-6125,-5586,
-5040,-4498,-3957,-3425,-2909,-2410,-1937,-1495,-1082,-710,-375,-87,161,369,527,653,749,805,845,857,
862,854,849,841,853,869,908,969,1056,1178,1334,1519,1742,1999,2293,2620,2984,3380,3807,4253,
4731,5220,5723,6231,6732,7220,7685,8120,8516,8872,9174,9424,9619,9767,9861,9903,9895,9848,9744,9600,
9410,9179,8899,8582,8218,7818,7387,6927,6441,5940,5419,4893,4361,3825,3284,2743,2196,1642,1089,533,
-32,-597,-1165,-1731,-2289,-2839,-3374,-3885,-4385,-4866,-5326,-5768,-6187,-6597,-6990,-7369,-7734,-8081,-8407,-8719,
-9000,-9258,-9477,-9662,-9801,-9902,-9951,-9963,-9929,-9854,-9728,-9565,-9357,-9111,-8822,-8495,-8119,-7713,-7263,-6776,
-6258,-5721,-5163,-4595,-4030,-3470,-2931,-2417,-1933,-1486,-1074,-704,-375,-89,152,356,522,652,754,823,
855,879,881,878,859,849,838,847,862,904,965,1066,1189,1358,1560,1809,2091,2420,2778,3177,
3605,4059,4527,5016,5505,5999,6490,6971,7437,7885,8306,8691,9041,9347,9602,9800,9940,10019,10040,9997,
9902,9751,9550,9303,9024,8708,8373,8004,7613,7191,6750,6281,5793,5283,4755,4203,3642,3070,2497,1916,
1343,774,211,-343,-884,-1419,-1946,-2470,-2990,-3499,-4004,-4503,-4987,-5463,-5930,-6376,-6802,-7198,-7568,-7915,
-8233,-8523,-8789,-9027,-9241,-9426,-9586,-9718,-9819,-9875,-9895,-9865,-9795,-9668,-9490,-9257,-8979,-8644,-8269,-7855,
-7412,-6936,-6436,-5918,-5391,-4852,-4312,-3774,-3244,-2726,-2231,-1752,-1316,-910,-547,-223,53,283,474,622,
732,814,867,896,910,909,908,901,903,907,936,977,1046,1133,1258,1413,1606,1824,2090,2382,
2720,3086,3490,3923,4381,4859,5356,5860,6360,6846,7319,7759,8171,8544,8875,9158,9392,9579,9712,9803,
9842,9832,9772,9666,9502,9295,9034,8736,8391,8004,7585,7144,6679,6196,5694,5190,4675,4153,3621,3092,
2546,1993,1427,865,289,-281,-857,-1426,-1989,-2539,-3074,-3586,-4084,-4563,-5031,-5478,-5913,-6334,-6745,-7147,
-7532,-7901,-8254,-8577,-8874,-9145,-9376,-9577,-9733,-9849,-9919,-9957,-9951,-9906,-9822,-9701,-9533,-9323,-9071,-8775,
-8429,-8043,-7603,-7139,-6631,-6095,-5541,-4978,-4403,-3845,-3292,-2766,-2261,-1794,-1353,-954,-586,-267,20,256,
461,622,756,844,911,950,967,967,955,940,929,926,927,954,1003,1077,1184,1322,1499,1720,
1971,2271,2603,2970,3360,3788,4238,4708,5182,5675,6163,6658,7135,7605,8047,8464,8842,9185,9466,9700,
9871,9982,10032,10025,9959,9848,9689,9485,9243,8963,8651,8316,7940,7538,7112,6650,6163,5653,5126,4580,
4022,3451,2885,2314,1751,1189,632,81,-465,-1012,-1546,-2086,-2618,-3153,-3672,-4187,-4688,-5175,-5639,-6095,
-6520,-6929,-7311,-7665,-7994,-8307,-8589,-8857,-9095,-9314,-9502,-9661,-9784,-9874,-9915,-9908,-9855,-9749,-9599,-9389,
-9136,-8832,-8487,-8104,-7684,-7237,-6762,-6257,-5742,-5205,-4662,-4110,-3570,-3029,-2510,-2012,-1545,-1115,-728,-375,
-77,184,393,569,700,803,870,916,940,951,946,939,935,935,943,969,1014,1081,1177,1300,
1456,1650,1878,2143,2453,2801,3183,3596,4038,4507,4996,5487,5995,6486,6966,7419,7854,8255,8620,8941,
9228,9461,9652,9789,9877,9917,9905,9829,9701,9522,9292,9012,8691,8330,7935,7516,7076,6618,6143,5657,
5153,4642,4122,3588,3041,2483,1914,1339,752,173,-406,-982,-1548,-2094,-2631,-3146,-3651,-4140,-4619,-5084,
-5542,-5982,-6417,-6841,-7248,-7641,-8013,-8355,-8674,-8953,-9204,-9418,-9600,-9740,-9841,-9911,-9944,-9940,-9901,-9817,
-9700,-9531,-9314,-9052,-8741,-8378,-7972,-7522,-7033,-6519,-5977,-5427,-4867,-4313,-3758,-3230,-2713,-2229,-1766,-1338,
-945,-590,-271,1,239,434,586,705,795,843,878,886,886,874,860,849,853,864,897,957,
1046,1162,1316,1510,1736,1999,2306,2644,3013,3415,3840,4291,4763,5248,5740,6238,6734,7223,7686,8130,
8533,8900,9211,9479,9679,9826,9915,9944,9927,9858,9737,9585,9384,9143,8864,8549,8199,7817,7397,6947,
6466,5965,5445,4907,4362,3811,3251,2697,2141,1589,1039,484,-66,-618,-1169,-1720,-2265,-2808,-3347,-3874,
-4383,-4875,-5345,-5801,-6233,-6644,-7032,-7404,-7752,-8082,-8394,-8689,-8957,-9205,-9418,-9604,-9754,-9867,-9928,-9952,
-9918,-9838,-9711,-9538,-9318,-9060,-8748,-8405,-8021,-7605,-7153,-6674,-6170,-5642,-5095,-4545,-3992,-3439,-2905,-2390,
-1906,-1454,-1041,-668,-344,-54,185,387,544,671,766,833,872,896,905,903,894,891,887,903,
929,981,1050,1153,1281,1449,1654,1896,2179,2501,2860,3260,3686,4141,4607,5098,5587,6081,6562,7030,
7484,7901,8303,8663,8991,9268,9510,9690,9827,9901,9926,9886,9791,9633,9431,9181,8889,8558,8194,7803,
7395,6957,6511,6043,5561,5055,4538,4004,3457,2894,2325,1745,1164,581,6,-563,-1118,-1666,-2203,-2722,
-3231,-3731,-4222,-4704,-5177,-5642,-6097,-6538,-6962,-7367,-7754,-8109,-8435,-8729,-8994,-9224,-9424,-9595,-9735,-9838,
-9911,-9944,-9950,-9909,-9828,-9696,-9521,-9290,-9010,-8676,-8303,-7880,-7419,-6929,-6414,-5886,-5345,-4795,-4252,-3716,
-3191,-2688,-2204,-1749,-1321,-931,-579,-266,6,232,422,567,679,756,810,834,848,846,841,834,
833,842,868,912,984,1087,1218,1381,1581,1822,2097,2405,2747,3121,3526,3958,4415,4897,5386,5885,
6384,6881,7357,7815,8234,8617,8952,9241,9470,9654,9782,9859,9876,9851,9778,9661,9500,9296,9043,8755,
8423,8054,7650,7215,6742,6256,5749,5233,4700,4165,3625,3086,2540,1996,1449,901,342,-220,-782,-1340,
-1899,-2446,-2985,-3515,-4027,-4522,-4993,-5444,-5882,-6299,-6697,-7082,-7448,-7804,-8137,-8454,-8747,-9017,-9253,-9457,
-9624,-9755,-9838,-9877,-9869,-9825,-9724,-9585,-9402,-9182,-8915,-8612,-8264,-7878,-7452,-6997,-6503,-5988,-5449,-4891,
-4329,-3773,-3228,-2696,-2189,-1719,-1285,-887,-529,-212,59,294,484,645,762,856,915,958,979,986,
982,975,968,971,984,1016,1064,1149,1252,1395,1572,1792,2049,2345,2676,3049,3450,3882,4334,4800,
5279,5768,6243,6723,7180,7626,8046,8438,8796,9117,9387,9607,9778,9885,9940,9927,9860,9738,9564,9340,
9080,8779,8451,8086,7699,7291,6861,6403,5932,5434,4916,4378,3826,3263,2696,2115,1537,959,390,-174,
-730,-1274,-1811,-2340,-2856,-3370,-3874,-4370,-4862,-5346,-5815,-6272,-6703,-7116,-7505,-7872,-8211,-8522,-8799,-9048,
-9276,-9471,-9643,-9780,-9889,-9961,-9998,-9989,-9946,-9841,-9700,-9490,-9242,-8939,-8588,-8189,-7765,-7293,-6802,-6290,
-5764,-5235,-4687,-4147,-3610,-3080,-2574,-2086,-1625,-1201,-810,-459,-149,111,336,516,658,760,838,890,
918,932,940,941,945,951,973,1010,1068,1150,1265,1404,1580,1785,2028,2307,2625,2967,3354,3769,
4213,4676,5163,5655,6159,6651,7135,7600,8034,8431,8784,9096,9365,9575,9745,9859,9927,9941,9905,9825,
9695,9517,9291,9020,8700,8344,7949,7525,7074,6599,6106,5604,5086,4570,4039,3505,2960,2416,1860,1304,
735,167,-410,-983,-1550,-2106,-2652,-3182,-3698,-4194,-4676,-5138,-5582,-6011,-6437,-6840,-7231,-7609,-7971,-8312,
-8627,-8914,-9175,-9399,-9582,-9730,-9831,-9902,-9923,-9905,-9841,-9744,-9602,-9422,-9193,-8928,-8614,-8258,-7853,-7417,
-6935,-6430,-5894,-5344,-4778,-4216,-3660,-3127,-2604,-2115,-1652,-1229,-845,-497,-184,81,311,502,657,777,
862,921,958,973,982,980,973,969,974,993,1031,1091,1180,1309,1463,1658,1887,2158,2466,2813,
3190,3603,4031,4486,4950,5430,5913,6401,6873,7344,7793,8215,8606,8962,9270,9534,9737,9880,9969,9996,
9967,9880,9743,9564,9338,9077,8784,8458,8096,7708,7292,6851,6382,5895,5380,4841,4295,3731,3164,2594,
2020,1450,884,325,-225,-775,-1317,-1860,-2396,-2928,-3448,-3967,-4470,-4974,-5456,-5924,-6366,-6791,-7189,-7565,
-7918,-8244,-8551,-8824,-9077,-9309,-9510,-9689,-9830,-9938,-10008,-10035,-10012,-9946,-9823,-9653,-9431,-9156,-8843,-8486,
-8091,-7660,-7205,-6711,-6204,-5682,-5150,-4605,-4063,-3521,-2998,-2488,-2008,-1552,-1137,-761,-429,-138,105,314,
474,609,701,770,816,847,857,864,871,872,891,910,956,1021,1109,1224,1375,1550,1769,2020,
2307,2636,2998,3394,3826,4279,4757,5250,5747,6246,6735,7203,7662,8076,8464,8808,9114,9373,9590,9752,
9875,9935,9951,9908,9819,9675,9478,9235,8947,8611,8246,7841,7417,6968,6504,6021,5525,5022,4511,3986,
3440,2899,2340,1776,1204,631,54,-518,-1088,-1644,-2187,-2712,-3235,-3733,-4216,-4685,-5147,-5593,-6032,-6457,
-6872,-7264,-7646,-8001,-8339,-8645,-8921,-9158,-9364,-9525,-9656,-9748,-9803,-9823,-9806,-9743,-9643,-9503,-9317,-9087,
-8810,-8482,-8108,-7689,-7234,-6746,-6224,-5686,-5137,-4586,-4028,-3490,-2964,-2466,-1987,-1541,-1126,-752,-413,-112,
153,367,556,696,807,885,938,967,982,978,977,968,971,978,1004,1053,1122,1222,1357,1527,
1733,1975,2251,2566,2916,3297,3705,4139,4589,5059,5535,6020,6507,6990,7454,7900,8313,8698,9030,9322,
9556,9734,9849,9915,9919,9875,9783,9639,9453,9232,8969,8675,8341,7974,7577,7143,6686,6202,5690,5170,
4629,4077,3517,2956,2399,1842,1282,728,175,-377,-923,-1477,-2019,-2564,-3100,-3634,-4148,-4650,-5136,-5608,
-6056,-6481,-6887,-7274,-7635,-7979,-8299,-8607,-8884,-9141,-9372,-9578,-9744,-9880,-9971,-10022,-10025,-9981,-9887,-9750,
-9559,-9321,-9039,-8719,-8361,-7969,-7537,-7078,-6590,-6078,-5551,-5008,-4464,-3915,-3374,-2850,-2351,-1874,-1443,-1039,
-685,-368,-94,140,325,482,603,693,753,793,816,832,829,837,843,856,882,923,987,1080,
1193,1352,1534,1758,2018,2319,2653,3031,3435,3872,4330,4805,5292,5779,6266,6742,7200,7635,8047,8420,
8761,9053,9311,9520,9682,9789,9842,9839,9778,9661,9497,9279,9014,8703,8364,7986,7589,7167,6723,6263,
5786,5296,4791,4272,3736,3187,2622,2057,1481,902,329,-240,-805,-1358,-1904,-2431,-2950,-3451,-3946,-4422,
-4897,-5362,-5816,-6256,-6687,-7096,-7493,-7856,-8203,-8514,-8803,-9056,-9274,-9461,-9613,-9729,-9816,-9870,-9888,-9867,
-9804,-9698,-9548,-9347,-9098,-8800,-8448,-8058,-7620,-7150,-6654,-6131,-5593,-5046,-4499,-3958,-3423,-2905,-2411,-1937,
-1491,-1083,-705,-370,-70,185,404,577,715,817,899,940,972,984,990,984,991,995,1020,1061,
1118,1206,1321,1469,1649,1867,2118,2408,2725,3079,3465,3881,4318,4778,5251,5735,6225,6716,7198,7656,
8090,8491,8851,9165,9424,9633,9787,9884,9933,9931,9879,9782,9635,9449,9218,8950,8636,8290,7904,7489,
7034,6561,6060,5549,5016,4479,3933,3384,2832,2283,1728,1176,616,56,-502,-1064,-1621,-2181,-2727,-3264,
-3791,-4298,-4786,-5264,-5714,-6154,-6568,-6967,-7345,-7710,-8054,-8383,-8686,-8976,-9226,-9454,-9646,-9804,-9915,-9989,
-10010,-10000,-9930,-9824,-9667,-9472,-9225,-8941,-8617,-8256,-7856,-7421,-6947,-6452,-5924,-5386,-4829,-4272,-3723,-3182,
-2659,-2171,-1707,-1281,-896,-549,-248,17,237,419,571,687,774,835,870,896,908,913,919,930,
939,968,1015,1085,1182,1314,1473,1673,1910,2187,2496,2846,3227,3642,4080,4543,5015,5498,5981,6455,
6926,7380,7810,8219,8595,8934,9230,9478,9677,9826,9916,9946,9923,9832,9698,9503,9276,9000,8694,8343,
7974,7576,7164,6718,6254,5773,5272,4748,4215,3667,3103,2527,1951,1373,800,230,-332,-885,-1429,-1965,
-2493,-3004,-3511,-4016,-4506,-4990,-5463,-5921,-6365,-6795,-7200,-7586,-7940,-8263,-8569,-8838,-9085,-9295,-9478,-9632,
-9753,-9844,-9901,-9918,-9893,-9822,-9703,-9534,-9318,-9043,-8730,-8358,-7957,-7515,-7042,-6541,-6031,-5495,-4958,-4415,
-3884,-3359,-2848,-2349,-1883,-1448,-1040,-672,-344,-61,182,387,550,675,771,835,878,899,911,916,
918,922,939,965,1015,1082,1179,1305,1463,1649,1875,2135,2430,2758,3122,3517,3941,4388,4862,5345,
5839,6334,6824,7300,7751,8166,8555,8892,9194,9439,9636,9779,9873,9915,9913,9863,9763,9614,9416,9174,
8891,8564,8199,7797,7362,6910,6424,5928,5419,4900,4369,3837,3297,2755,2200,1645,1084,520,-53,-622,
-1189,-1750,-2307,-2849,-3376,-3885,-4386,-4857,-5317,-5764,-6192,-6605,-7008,-7389,-7758,-8111,-8435,-8745,-9022,-9273,
-9487,-9658,-9796,-9890,-9943,-9958,-9926,-9851,-9736,-9582,-9382,-9142,-8854,-8526,-8159,-7752,-7303,-6820,-6309,-5778,
-5229,-4674,-4119,-3575,-3047,-2544,-2063,-1622,-1210,-840,-507,-215,37,250,430,568,681,761,819,853,
867,876,881,883,887,908,940,991,1069,1175,1315,1490,1700,1954,2237,2563,2921,3312,3728,4167,
4624,5099,5578,6057,6533,7001,7457,7888,8292,8669,8998,9286,9522,9699,9826,9893,9899,9852,9751,9597,
9402,9163,8888,8581,8240,7869,7477,7056,6605,6132,5640,5124,4595,4047,3489,2924,2353,1779,1215,653,
99,-453,-996,-1538,-2067,-2599,-3119,-3634,-4136,-4638,-5122,-5591,-6041,-6480,-6892,-7284,-7650,-7990,-8301,-8591,
-8857,-9096,-9315,-9496,-9651,-9778,-9863,-9911,-9917,-9878,-9785,-9648,-9459,-9218,-8931,-8597,-8228,-7815,-7378,-6908,
-6415,-5899,-5376,-4837,-4300,-3762,-3238,-2726,-2231,-1766,-1334,-934,-579,-260,11,241,428,584,700,786,
847,888,914,924,930,938,945,965,1000,1058,1133,1235,1369,1531,1727,1958,2225,2524,2867,3237,
3644,4079,4538,5010,5500,5992,6483,6957,7420,7854,8254,8615,8942,9224,9460,9644,9780,9866,9906,9891,
9827,9714,9548,9331,9069,8757,8417,8033,7621,7183,6725,6246,5752,5254,4740,4215,3681,3141,2589,2035,
1465,895,318,-254,-827,-1389,-1948,-2486,-3021,-3533,-4026,-4509,-4979,-5431,-5874,-6302,-6724,-7125,-7514,-7883,
-8229,-8550,-8845,-9107,-9332,-9525,-9681,-9795,-9878,-9918,-9917,-9880,-9805,-9690,-9533,-9326,-9076,-8782,-8436,-8052,
-7626,-7162,-6666,-6145,-5604,-5056,-4500,-3957,-3418,-2904,-2406,-1941,-1504,-1105,-737,-408,-119,128,337,514,
653,756,836,887,921,937,944,952,960,970,998,1036,1101,1192,1312,1466,1655,1881,2141,2442,
2770,3137,3529,3950,4391,4848,5316,5800,6277,6760,7224,7678,8108,8504,8859,9182,9437,9658,9814,9906,
9950,9932,9864,9752,9594,9391,9149,8870,8560,8215,7836,7429,6996,6532,6041,5529,5003,4460,3909,3351,
2791,2229,1670,1110,555,4,-545,-1095,-1638,-2181,-2714,-3251,-3765,-4274,-4770,-5255,-5709,-6154,-6574,-6977,
-7353,-7710,-8037,-8354,-8640,-8907,-9149,-9368,-9552,-9706,-9819,-9895,-9926,-9916,-9854,-9744,-9589,-9384,-9131,-8836,
-8501,-8125,-7715,-7273,-6804,-6314,-5797,-5268,-4728,-4181,-3643,-3112,-2602,-2112,-1651,-1224,-842,-495,-196,70,
285,469,615,730,811,876,911,941,955,965,977,995,1016,1063,1117,1203,1309,1446,1620,1822,
2062,2339,2658,3009,3394,3808,4253,4713,5193,5675,6165,6639,7105,7553,7973,8358,8715,9027,9304,9534,
9715,9840,9919,9942,9917,9831,9695,9502,9269,8979,8660,8299,7916,7496,7063,6608,6135,5649,5148,4631,
4104,3560,3009,2448,1877,1301,719,144,-431,-993,-1553,-2093,-2626,-3143,-3649,-4142,-4619,-5091,-5552,-5997,
-6437,-6855,-7266,-7648,-8008,-8348,-8657,-8930,-9174,-9383,-9564,-9706,-9816,-9889,-9931,-9925,-9888,-9811,-9689,-9520,
-9304,-9036,-8725,-8360,-7959,-7514,-7041,-6537,-6009,-5470,-4926,-4382,-3844,-3318,-2808,-2323,-1863,-1433,-1035,-672,
-348,-66,182,381,548,685,780,851,903,932,949,954,965,975,997,1029,1086,1158,1261,1395,
1563,1763,2001,2266,2580,2916,3287,3683,4110,4558,5021,5496,5987,6473,6953,7425,7870,8289,8676,9019,
9312,9556,9744,9881,9961,9987,9964,9891,9775,9614,9406,9167,8877,8554,8198,7803,7377,6928,6444,5946,
5424,4893,4351,3810,3254,2700,2146,1592,1036,478,-79,-634,-1193,-1749,-2296,-2840,-3370,-3891,-4396,-4885,
-5355,-5808,-6231,-6646,-7040,-7417,-7770,-8106,-8420,-8716,-8987,-9232,-9445,-9627,-9766,-9871,-9928,-9949,-9913,-9840,
-9711,-9548,-9334,-9083,-8783,-8451,-8073,-7666,-7220,-6749,-6248,-5730,-5191,-4649,-4101,-3565,-3040,-2536,-2059,-1622,
-1212,-841,-513,-224,20,227,395,537,640,719,772,812,833,848,853,865,878,907,944,1011,
1094,1207,1349,1529,1739,1996,2282,2609,2971,3366,3789,4231,4698,5174,5655,6132,6603,7063,7504,7916,
8305,8659,8971,9242,9468,9641,9764,9824,9830,9786,9682,9524,9321,9072,8786,8454,8099,7716,7310,6876,
6426,5953,5471,4962,4442,3905,3353,2787,2221,1649,1071,500,-70,-635,-1185,-1727,-2258,-2781,-3291,-3796,
-4290,-4773,-5245,-5716,-6168,-6606,-7023,-7417,-7794,-8138,-8458,-8750,-9017,-9242,-9443,-9612,-9757,-9860,-9933,-9971,
-9968,-9921,-9836,-9698,-9514,-9280,-8994,-8660,-8286,-7867,-7419,-6934,-6433,-5911,-5379,-4840,-4307,-3775,-3254,-2754,
-2278,-1825,-1403,-1014,-664,-350,-78,149,339,491,609,697,760,800,822,836,843,849,864,887,
926,986,1072,1181,1323,1490,1699,1941,2217,2524,2871,3246,3655,4081,4537,5008,5494,5985,6477,6955,
7421,7857,8261,8631,8957,9233,9462,9639,9762,9836,9858,9834,9760,9638,9472,9262,9010,8716,8372,8001,
7596,7158,6693,6215,5711,5198,4672,4142,3606,3068,2522,1972,1415,861,298,-263,-828,-1386,-1944,-2489,
-3024,-3542,-4046,-4533,-5008,-5456,-5895,-6313,-6713,-7102,-7476,-7833,-8167,-8479,-8772,-9030,-9262,-9458,-9617,-9738,
-9814,-9847,-9844,-9795,-9699,-9566,-9384,-9168,-8905,-8602,-8253,-7875,-7444,-6989,-6501,-5989,-5455,-4912,-4355,-3813,
-3273,-2759,-2264,-1804,-1371,-978,-620,-303,-28,216,416,577,707,812,884,936,968,988,997,1008,
1015,1029,1059,1106,1171,1263,1387,1542,1727,1954,2221,2520,2856,3229,3626,4051,4494,4955,5424,5900,
6372,6841,7291,7732,8139,8522,8870,9179,9439,9647,9801,9896,9933,9917,9847,9722,9548,9329,9075,8778,
8452,8091,7710,7299,6862,6399,5922,5416,4899,4357,3804,3244,2673,2100,1531,958,397,-171,-718,-1262,
-1801,-2337,-2859,-3379,-3891,-4390,-4886,-5363,-5828,-6279,-6709,-7117,-7495,-7859,-8188,-8497,-8776,-9033,-9260,-9455,
-9627,-9766,-9878,-9943,-9975,-9962,-9904,-9798,-9643,-9437,-9185,-8881,-8536,-8148,-7733,-7277,-6801,-6295,-5783,-5256,
-4723,-4186,-3662,-3142,-2644,-2163,-1717,-1297,-917,-575,-277,-16,202,386,526,637,722,779,817,843,
860,873,886,904,938,988,1056,1144,1268,1417,1597,1806,2059,2344,2661,3015,3404,3817,4260,4720,
5198,5688,6175,6661,7134,7578,8002,8388,8735,9045,9305,9519,9684,9797,9865,9881,9841,9759,9629,9440,
9214,8939,8622,8265,7871,7453,7010,6540,6058,5560,5050,4535,4000,3468,2926,2371,1812,1250,679,110,
-464,-1031,-1591,-2142,-2683,-3202,-3715,-4206,-4689,-5150,-5601,-6034,-6460,-6866,-7261,-7640,-8000,-8334,-8646,-8923,
-9177,-9392,-9570,-9712,-9817,-9883,-9905,-9891,-9838,-9744,-9606,-9427,-9200,-8939,-8623,-8269,-7872,-7438,-6962,-6464,
-5938,-5403,-4858,-4310,-3769,-3246,-2737,-2256,-1800,-1383,-996,-651,-339,-68,170,365,529,652,750,821,
872,904,925,937,949,961,982,1022,1079,1155,1264,1401,1573,1777,2015,2294,2609,2952,3331,3737,
4162,4612,5073,5545,6023,6498,6970,7430,7864,8277,8652,8989,9284,9529,9714,9851,9925,9947,9910,9831,
9694,9519,9296,9040,8744,8417,8060,7668,7250,6805,6329,5837,5322,4795,4247,3691,3130,2565,2002,1438,
879,321,-233,-785,-1330,-1872,-2410,-2944,-3463,-3981,-4480,-4974,-5444,-5903,-6338,-6761,-7154,-7523,-7869,-8198,
-8502,-8783,-9039,-9270,-9465,-9641,-9775,-9877,-9939,-9958,-9927,-9851,-9726,-9552,-9335,-9069,-8763,-8411,-8024,-7605,
-7154,-6679,-6182,-5666,-5141,-4601,-4067,-3539,-3023,-2520,-2049,-1605,-1201,-831,-498,-210,32,245,413,551,
651,734,791,835,858,876,892,911,937,975,1028,1104,1201,1331,1487,1675,1901,2157,2457,2784,
3142,3548,3972,4419,4886,5365,5851,6333,6812,7264,7702,8107,8485,8820,9116,9370,9576,9732,9843,9899,
9905,9855,9753,9599,9398,9148,8858,8527,8160,7762,7337,6899,6439,5959,5468,4961,4440,3915,3370,2821,
2259,1691,1115,543,-27,-593,-1157,-1709,-2245,-2771,-3286,-3783,-4269,-4743,-5211,-5660,-6101,-6526,-6939,-7333,
-7708,-8058,-8388,-8680,-8948,-9182,-9385,-9545,-9680,-9772,-9831,-9852,-9837,-9780,-9682,-9540,-9355,-9118,-8839,-8512,
-8142,-7728,-7284,-6796,-6289,-5767,-5232,-4691,-4151,-3621,-3106,-2611,-2141,-1697,-1284,-906,-568,-263,-1,225,
416,565,691,775,841,888,914,928,941,953,971,992,1035,1104,1187,1299,1451,1627,1844,2091,
2376,2695,3046,3422,3829,4259,4709,5172,5649,6127,6608,7075,7532,7967,8368,8733,9050,9326,9548,9718,
9832,9894,9897,9857,9761,9626,9447,9226,8962,8670,8331,7965,7558,7131,6670,6187,5678,5166,4630,4087,
3536,2983,2427,1873,1316,762,207,-347,-902,-1454,-2001,-2541,-3078,-3600,-4111,-4608,-5084,-5550,-5991,-6413,
-6815,-7204,-7564,-7907,-8231,-8540,-8815,-9070,-9297,-9493,-9654,-9783,-9866,-9908,-9908,-9856,-9760,-9619,-9430,-9204,
-8930,-8616,-8265,-7872,-7448,-6996,-6512,-6008,-5485,-4949,-4408,-3872,-3340,-2828,-2335,-1871,-1445,-1050,-701,-386,
-110,127,317,478,606,707,775,830,865,892,901,921,937,962,997,1057,1130,1233,1357,1523,
1718,1948,2214,2516,2859,3234,3633,4067,4514,4983,5458,5934,6408,6872,7320,7748,8147,8513,8848,9136,
9382,9585,9731,9826,9871,9856,9787,9662,9493,9271,9008,8701,8366,7995,7602,7179,6740,6279,5805,5304,
4794,4270,3731,3177,2614,2044,1470,896,329,-239,-796,-1352,-1892,-2420,-2941,-3450,-3947,-4433,-4912,-5378,
-5836,-6273,-6700,-7108,-7491,-7857,-8197,-8501,-8784,-9032,-9246,-9434,-9595,-9711,-9802,-9850,-9871,-9842,-9780,-9668,
-9516,-9305,-9054,-8750,-8404,-8013,-7586,-7122,-6635,-6121,-5599,-5063,-4525,-3992,-3469,-2957,-2470,-2000,-1561,-1152,
-783,-444,-151,107,322,500,646,753,835,888,930,952,968,982,996,1014,1051,1102,1173,1272,
1399,1552,1742,1963,2223,2512,2836,3189,3578,3988,4430,4885,5356,5834,6322,6798,7267,7713,8132,8522,
8869,9171,9420,9626,9777,9877,9924,9926,9872,9776,9630,9443,9214,8939,8621,8274,7885,7467,7018,6547,
6054,5544,5022,4494,3949,3405,2856,2304,1747,1190,626,66,-497,-1062,-1621,-2178,-2718,-3251,-3770,-4274,
-4755,-5226,-5678,-6115,-6528,-6930,-7316,-7680,-8027,-8355,-8659,-8943,-9190,-9412,-9595,-9745,-9849,-9924,-9943,-9927,
-9863,-9757,-9608,-9419,-9179,-8907,-8586,-8234,-7837,-7408,-6944,-6455,-5933,-5404,-4864,-4322,-3786,-3259,-2753,-2274,
-1821,-1402,-1023,-679,-379,-114,113,302,459,583,679,750,803,836,861,877,894,917,944,989,
1046,1135,1243,1385,1559,1766,2010,2294,2608,2964,3344,3753,4186,4641,5102,5575,6043,6514,6974,7417,
7838,8235,8596,8922,9206,9442,9630,9761,9836,9856,9820,9732,9591,9397,9168,8897,8589,8253,7884,7489,
7066,6619,6157,5670,5160,4634,4100,3547,2990,2416,1850,1276,709,140,-414,-969,-1515,-2056,-2580,-3103,
-3612,-4118,-4612,-5091,-5560,-6019,-6458,-6881,-7278,-7657,-8005,-8329,-8627,-8896,-9142,-9354,-9544,-9696,-9819,-9909,
-9961,-9972,-9946,-9867,-9745,-9571,-9351,-9077,-8765,-8400,-8011,-7577,-7115,-6628,-6123,-5601,-5078,-4543,-4019,-3499,
-2990,-2500,-2042,-1602,-1202,-837,-512,-228,21,225,391,530,628,709,762,799,826,846,864,884,
917,958,1020,1096,1211,1346,1512,1711,1947,2210,2514,2844,3215,3613,4038,4486,4956,5433,5924,6404,
6880,7343,7783,8190,8564,8895,9184,9425,9617,9759,9855,9894,9890,9835,9730,9578,9378,9137,8839,8514,
8150,7750,7324,6874,6396,5908,5408,4891,4369,3837,3299,2749,2194,1634,1076,503,-67,-630,-1198,-1752,
-2304,-2837,-3357,-3860,-4356,-4827,-5289,-5729,-6163,-6576,-6984,-7364,-7733,-8079,-8403,-8701,-8975,-9212,-9417,-9585,
-9720,-9810,-9863,-9873,-9847,-9780,-9668,-9517,-9324,-9085,-8801,-8482,-8112,-7711,-7265,-6790,-6288,-5769,-5228,-4688,
-4149,-3620,-3104,-2614,-2140,-1706,-1294,-929,-590,-297,-40,178,368,515,641,732,799,847,877,900,
920,935,960,994,1044,1110,1203,1326,1476,1664,1885,2144,2435,2763,3116,3506,3921,4358,4805,5272,
5742,6214,6677,7133,7578,7999,8384,8747,9061,9330,9549,9714,9824,9882,9876,9826,9721,9570,9373,9137,
8862,8561,8215,7848,7447,7023,6571,6092,5594,5078,4549,4000,3446,2885,2322,1755,1194,634,79,-475,
-1022,-1565,-2098,-2636,-3158,-3676,-4182,-4677,-5154,-5621,-6070,-6498,-6903,-7291,-7651,-7998,-8307,-8600,-8864,-9105,
-9318,-9503,-9655,-9780,-9858,-9901,-9898,-9854,-9764,-9622,-9431,-9195,-8909,-8586,-8224,-7823,-7393,-6933,-6449,-5948,
-5427,-4898,-4370,-3840,-3324,-2816,-2332,-1877,-1452,-1059,-711,-398,-132,105,295,451,573,672,742,791,
823,847,869,885,906,941,982,1052,1130,1242,1380,1553,1753,1993,2269,2571,2916,3288,3693,4124,
4575,5043,5525,6006,6479,6945,7393,7817,8209,8564,8886,9159,9396,9580,9713,9799,9833,9812,9748,9627,
9457,9240,8978,8673,8333,7954,7553,7125,6675,6203,5717,5217,4709,4186,3653,3110,2559,1995,1430,861,
291,-280,-844,-1402,-1953,-2483,-3009,-3518,-4010,-4493,-4965,-5414,-5857,-6287,-6709,-7109,-7490,-7849,-8191,-8500,
-8787,-9037,-9261,-9447,-9594,-9707,-9790,-9827,-9832,-9794,-9720,-9600,-9441,-9233,-8983,-8683,-8341,-7957,-7532,-7078,
-6584,-6073,-5545,-5013,-4474,-3940,-3415,-2914,-2427,-1965,-1535,-1137,-774,-448,-157,91,300,485,629,736,
823,881,927,944,966,981,998,1019,1062,1114,1191,1289,1420,1583,1777,2006,2274,2572,2907,3266,
3654,4070,4507,4957,5422,5895,6369,6838,7293,7733,8146,8528,8869,9171,9422,9625,9766,9858,9893,9881,
9809,9700,9538,9342,9099,8823,8507,8159,7777,7368,6927,6459,5968,5459,4934,4395,3848,3297,2738,2183,
1620,1062,504,-54,-607,-1160,-1710,-2253,-2791,-3325,-3838,-4342,-4834,-5309,-5762,-6206,-6618,-7020,-7394,-7750,
-8085,-8399,-8684,-8957,-9191,-9411,-9588,-9732,-9840,-9909,-9932,-9916,-9848,-9740,-9579,-9376,-9126,-8839,-8503,-8140,
-7733,-7301,-6837,-6346,-5836,-5318,-4780,-4243,-3713,-3193,-2695,-2216,-1768,-1355,-975,-635,-338,-78,140,326,
478,594,685,757,805,839,862,880,905,928,962,1013,1080,1172,1287,1435,1614,1827,2071,2354,
2675,3026,3410,3821,4259,4716,5184,5666,6136,6605,7061,7497,7911,8295,8643,8957,9227,9450,9625,9748,
9824,9841,9807,9718,9579,9388,9156,8873,8557,8207,7827,7418,6996,6542,6075,5582,5083,4566,4039,3490,
2940,2375,1806,1229,658,89,-475,-1038,-1588,-2129,-2656,-3172,-3681,-4173,-4654,-5129,-5588,-6033,-6473,-6888,
-7289,-7667,-8019,-8344,-8647,-8916,-9158,-9360,-9538,-9679,-9788,-9860,-9900,-9896,-9858,-9771,-9647,-9475,-9249,-8981,
-8671,-8308,-7908,-7470,-7005,-6514,-6000,-5472,-4941,-4405,-3878,-3362,-2863,-2385,-1930,-1503,-1113,-755,-435,-155,
89,290,458,594,695,776,832,870,901,917,935,960,991,1035,1102,1190,1305,1442,1619,1822,
2065,2338,2651,2987,3359,3752,4177,4623,5083,5557,6034,6516,6990,7447,7885,8290,8663,8991,9277,9515,
9698,9831,9905,9934,9916,9846,9730,9571,9368,9126,8835,8512,8153,7757,7333,6884,6409,5914,5400,4878,
4343,3803,3257,2709,2156,1602,1044,486,-76,-635,-1194,-1743,-2290,-2827,-3354,-3868,-4363,-4846,-5306,-5759,
-6183,-6592,-6986,-7362,-7715,-8047,-8365,-8657,-8920,-9156,-9360,-9534,-9668,-9758,-9810,-9821,-9781,-9706,-9583,-9419,
-9210,-8958,-8665,-8338,-7965,-7560,-7119,-6653,-6153,-5640,-5110,-4577,-4042,-3514,-2998,-2509,-2043,-1609,-1206,-843,
-512,-225,21,237,411,554,670,757,822,873,905,929,950,971,999,1042,1089,1168,1265,1391,
1542,1734,1961,2216,2507,2843,3205,3600,4013,4453,4909,5381,5845,6318,6777,7228,7656,8063,8440,8790,
9087,9349,9560,9725,9831,9881,9880,9826,9715,9559,9357,9106,8822,8498,8146,7765,7360,6926,6479,6006,
5515,4996,4471,3933,3382,2818,2255,1681,1113,539,-25,-581,-1131,-1680,-2206,-2737,-3249,-3759,-4257,-4744,
-5218,-5686,-6134,-6560,-6975,-7369,-7738,-8078,-8394,-8685,-8945,-9173,-9377,-9551,-9690,-9795,-9871,-9905,-9900,-9852,
-9761,-9619,-9433,-9196,-8911,-8585,-8220,-7807,-7369,-6901,-6411,-5901,-5382,-4856,-4331,-3808,-3301,-2801,-2330,-1880,
-1463,-1075,-730,-420,-148,81,276,436,559,656,723,777,810,841,856,880,905,945,999,1070,
1163,1284,1436,1611,1826,2073,2353,2663,3012,3389,3793,4220,4670,5138,5614,6095,6574,7037,7489,7906,
8299,8650,8964,9228,9452,9621,9742,9807,9828,9802,9728,9601,9429,9211,8950,8653,8310,7940,7532,7095,
6641,6160,5665,5159,4636,4110,3578,3034,2485,1932,1372,814,245,-318,-880,-1439,-1991,-2530,-3063,-3576,
-4079,-4562,-5033,-5482,-5926,-6345,-6754,-7141,-7521,-7873,-8210,-8518,-8804,-9060,-9285,-9472,-9629,-9747,-9820,-9853,
-9850,-9803,-9713,-9587,-9415,-9200,-8941,-8643,-8302,-7923,-7500,-7050,-6565,-6062,-5536,-5007,-4465,-3933,-3409,-2902,
-2416,-1965,-1539,-1148,-790,-474,-193,51,257,428,568,680,764,824,869,905,926,948,969,1002,
1043,1101,1182,1288,1427,1591,1786,2024,2293,2600,2933,3308,3704,4124,4559,5017,5478,5950,6416,6876,
7320,7748,8151,8519,8859,9148,9398,9594,9739,9827,9857,9839,9764,9641,9474,9258,9010,8719,8391,8038,
7655,7249,6809,6349,5869,5366,4845,4307,3763,3210,2643,2077,1515,948,388,-169,-717,-1265,-1807,-2344,
-2866,-3386,-3894,-4397,-4885,-5357,-5814,-6262,-6674,-7081,-7455,-7813,-8142,-8448,-8726,-8984,-9209,-9408,-9575,-9713,
-9814,-9879,-9900,-9885,-9818,-9705,-9544,-9337,-9087,-8785,-8444,-8069,-7657,-7212,-6742,-6252,-5743,-5222,-4697,-4167,
-3647,-3133,-2646,-2171,-1730,-1316,-941,-605,-308,-47,174,352,499,618,707,774,816,858,881,905,
931,959,1003,1061,1133,1236,1360,1515,1700,1919,2172,2457,2778,3127,3516,3927,4364,4817,5288,5762,
6238,6706,7168,7596,8012,8382,8720,9018,9273,9478,9642,9751,9813,9822,9784,9690,9552,9361,9125,8849,
8532,8174,7790,7374,6933,6468,5993,5502,4992,4474,3942,3404,2857,2303,1742,1174,605,31,-537,-1101,
-1655,-2203,-2737,-3258,-3766,-4256,-4738,-5202,-5654,-6092,-6522,-6926,-7320,-7692,-8049,-8377,-8683,-8955,-9199,-9402,
-9583,-9722,-9825,-9889,-9913,-9896,-9847,-9749,-9614,-9436,-9212,-8944,-8630,-8275,-7881,-7449,-6982,-6490,-5974,-5448,
-4910,-4378,-3847,-3332,-2833,-2356,-1911,-1495,-1108,-761,-448,-172,68,269,437,570,679,758,818,855,
892,915,942,964,1001,1053,1121,1211,1330,1474,1656,1869,2111,2392,2710,3050,3430,3831,4253,4698,
5153,5622,6096,6560,7021,7472,7895,8295,8657,8986,9264,9497,9669,9800,9871,9887,9849,9769,9636,9466,
9240,8992,8696,8371,8007,7618,7200,6755,6279,5788,5277,4749,4207,3661,3108,2548,1988,1428,871,315,
-240,-794,-1341,-1887,-2427,-2956,-3478,-3992,-4487,-4974,-5442,-5891,-6323,-6736,-7126,-7494,-7840,-8173,-8472,-8749,
-9002,-9231,-9425,-9592,-9721,-9816,-9868,-9877,-9840,-9764,-9632,-9458,-9237,-8976,-8675,-8329,-7945,-7529,-7088,-6619,
-6121,-5616,-5092,-4562,-4033,-3514,-3001,-2514,-2050,-1614,-1216,-855,-529,-246,2,213,383,521,630,720,
785,830,864,896,920,946,981,1028,1090,1173,1274,1412,1571,1770,1994,2255,2553,2886,3247,3647,
4063,4511,4968,5433,5910,6381,6843,7290,7714,8112,8478,8809,9100,9348,9549,9699,9803,9851,9853,9791,
9686,9530,9325,9070,8787,8455,8092,7698,7282,6840,6385,5906,5420,4911,4389,3849,3308,2749,2188,1615,
1047,477,-93,-659,-1219,-1765,-2302,-2833,-3343,-3847,-4335,-4813,-5280,-5734,-6175,-6603,-7013,-7400,-7770,-8118,
-8441,-8732,-8992,-9223,-9423,-9583,-9716,-9808,-9873,-9895,-9880,-9818,-9720,-9575,-9389,-9154,-8871,-8546,-8180,-7770,
-7331,-6854,-6360,-5848,-5328,-4797,-4271,-3749,-3246,-2758,-2290,-1851,-1444,-1071,-728,-424,-158,69,263,417,
539,635,710,761,799,828,852,875,907,944,999,1076,1175,1296,1455,1643,1862,2113,2400,2720,
3071,3445,3852,4280,4726,5185,5655,6128,6600,7055,7499,7920,8306,8658,8962,9228,9440,9600,9710,9766,
9773,9732,9639,9504,9325,9105,8840,8542,8205,7835,7428,6997,6540,6064,5562,5048,4518,3986,3442,2897,
2342,1790,1233,682,125,-431,-986,-1539,-2089,-2627,-3156,-3673,-4176,-4665,-5138,-5600,-6035,-6454,-6856,-7236,
-7598,-7945,-8267,-8568,-8844,-9090,-9312,-9497,-9650,-9770,-9840,-9880,-9869,-9816,-9716,-9577,-9387,-9164,-8890,-8582,
-8232,-7842,-7420,-6974,-6490,-5993,-5470,-4943,-4410,-3879,-3359,-2855,-2374,-1922,-1495,-1108,-758,-442,-169,68,
269,438,571,678,758,821,872,903,933,960,989,1025,1077,1141,1227,1340,1480,1652,1853,2094,
2363,2674,3017,3391,3788,4217,4658,5122,5583,6053,6514,6973,7407,7829,8218,8579,8903,9188,9426,9618,
9754,9843,9877,9854,9780,9657,9480,9264,9001,8701,8369,8009,7615,7198,6761,6311,5825,5333,4822,4292,
3753,3194,2638,2070,1502,926,367,-201,-754,-1305,-1848,-2374,-2891,-3406,-3902,-4393,-4870,-5340,-5794,-6232,
-6652,-7057,-7435,-7792,-8125,-8427,-8708,-8957,-9170,-9365,-9518,-9641,-9732,-9788,-9805,-9776,-9708,-9598,-9440,-9234,
-8979,-8680,-8337,-7955,-7536,-7086,-6609,-6109,-5598,-5073,-4556,-4028,-3517,-3010,-2529,-2064,-1632,-1226,-861,-528,
-230,24,241,424,571,684,777,842,891,930,958,978,1010,1041,1086,1148,1234,1340,1469,1634,
1827,2055,2315,2607,2931,3283,3668,4080,4512,4960,5429,5898,6371,6834,7289,7719,8124,8495,8829,9119,
9364,9559,9703,9798,9848,9840,9791,9691,9540,9353,9120,8839,8526,8171,7786,7370,6923,6455,5970,5465,
4950,4428,3895,3355,2804,2250,1693,1133,568,7,-560,-1117,-1679,-2228,-2764,-3293,-3807,-4300,-4787,-5247,
-5700,-6133,-6549,-6948,-7333,-7697,-8043,-8364,-8669,-8938,-9181,-9393,-9571,-9710,-9809,-9873,-9892,-9873,-9809,-9704,
-9553,-9363,-9129,-8856,-8537,-8185,-7787,-7361,-6899,-6413,-5902,-5379,-4845,-4312,-3784,-3267,-2771,-2304,-1852,-1440,
-1062,-722,-417,-150,84,275,444,575,679,758,815,864,899,929,956,989,1028,1084,1153,1248,
1372,1519,1703,1918,2168,2456,2768,3123,3504,3910,4335,4786,5242,5706,6164,6627,7079,7515,7924,8313,
8666,8987,9250,9476,9654,9778,9840,9857,9817,9727,9587,9400,9170,8904,8601,8266,7901,7508,7088,6639,
6175,5687,5180,4657,4121,3568,3010,2445,1880,1317,753,191,-365,-917,-1461,-2005,-2533,-3057,-3570,-4079,
-4565,-5050,-5515,-5971,-6405,-6819,-7210,-7585,-7926,-8251,-8546,-8817,-9059,-9273,-9457,-9612,-9731,-9817,-9863,-9869,
-9833,-9749,-9620,-9448,-9221,-8952,-8639,-8286,-7897,-7475,-7021,-6545,-6047,-5535,-5015,-4488,-3967,-3455,-2950,-2472,
-2012,-1580,-1188,-823,-504,-219,29,234,406,546,651,737,800,847,882,911,935,970,1012,1059,
1126,1218,1329,1476,1642,1847,2083,2350,2653,2984,3353,3745,4164,4607,5066,5535,6010,6475,6944,7390,
7811,8207,8571,8891,9174,9403,9588,9728,9818,9857,9851,9786,9680,9520,9319,9068,8783,8451,8089,7694,
7271,6824,6356,5872,5376,4861,4341,3809,3269,2718,2160,1597,1030,462,-106,-670,-1231,-1788,-2333,-2866,
-3378,-3882,-4372,-4842,-5302,-5750,-6187,-6598,-7003,-7387,-7755,-8093,-8416,-8705,-8973,-9205,-9401,-9564,-9689,-9778,
-9831,-9840,-9816,-9750,-9641,-9487,-9289,-9049,-8768,-8443,-8077,-7674,-7234,-6760,-6268,-5757,-5231,-4698,-4172,-3656,
-3150,-2663,-2202,-1770,-1367,-998,-666,-377,-112,110,297,449,577,672,746,798,839,866,895,919,
954,994,1054,1131,1232,1363,1524,1712,1940,2198,2493,2817,3169,3552,3960,4388,4833,5290,5753,6215,
6673,7123,7556,7965,8340,8692,8992,9249,9458,9615,9714,9771,9761,9711,9605,9458,9262,9029,8759,8454,
8111,7744,7344,6915,6459,5982,5486,4972,4444,3903,3354,2799,2238,1677,1118,560,3,-549,-1098,-1644,
-2181,-2723,-3245,-3757,-4264,-4751,-5228,-5690,-6130,-6559,-6960,-7342,-7703,-8043,-8354,-8645,-8906,-9150,-9359,-9539,
-9688,-9805,-9874,-9909,-9897,-9850,-9750,-9601,-9412,-9179,-8895,-8573,-8213,-7820,-7393,-6940,-6461,-5960,-5446,-4924,
-4398,-3874,-3361,-2859,-2381,-1932,-1512,-1124,-774,-462,-194,41,240,401,534,641,719,785,826,864,
896,926,959,1006,1060,1134,1226,1347,1494,1670,1880,2125,2401,2713,3056,3431,3837,4261,4703,5168,
5635,6105,6570,7023,7456,7868,8249,8598,8911,9177,9404,9579,9712,9788,9817,9791,9718,9589,9417,9189,
8928,8625,8284,7912,7513,7083,6639,6169,5687,5191,4680,4149,3618,3072,2519,1955,1384,817,249,-321,
-878,-1435,-1979,-2512,-3035,-3545,-4039,-4524,-4997,-5457,-5900,-6333,-6752,-7152,-7528,-7891,-8221,-8530,-8805,-9051,
-9270,-9452,-9604,-9718,-9802,-9838,-9845,-9808,-9739,-9617,-9456,-9248,-8997,-8693,-8357,-7974,-7555,-7106,-6629,-6124,
-5611,-5083,-4557,-4034,-3521,-3023,-2543,-2085,-1661,-1263,-895,-569,-280,-26,194,374,520,643,737,807,
863,897,929,958,989,1026,1077,1144,1237,1343,1481,1654,1859,2088,2363,2660,2995,3351,3740,4152,
4584,5033,5493,5954,6423,6879,7324,7751,8149,8518,8845,9131,9370,9557,9690,9778,9811,9790,9727,9614,
9458,9261,9016,8736,8420,8072,7685,7279,6833,6374,5882,5379,4854,4326,3785,3236,2682,2132,1572,1016,
458,-101,-658,-1209,-1761,-2304,-2842,-3370,-3881,-4382,-4867,-5334,-5786,-6221,-6637,-7032,-7405,-7761,-8097,-8412,
-8697,-8961,-9196,-9409,-9579,-9718,-9818,-9879,-9897,-9874,-9805,-9695,-9542,-9336,-9095,-8808,-8479,-8120,-7722,-7296,
-6836,-6350,-5844,-5326,-4800,-4271,-3747,-3236,-2743,-2270,-1826,-1415,-1038,-694,-395,-129,94,288,449,579,
680,765,825,873,910,945,980,1019,1066,1129,1207,1312,1439,1594,1781,2000,2256,2546,2865,3221,
3602,4010,4443,4887,5345,5814,6276,6736,7177,7602,8005,8378,8716,9022,9280,9492,9658,9766,9834,9842,
9796,9703,9560,9365,9131,8848,8538,8192,7815,7409,6989,6534,6068,5579,5080,4559,4026,3479,2932,2364,
1799,1226,657,94,-470,-1029,-1572,-2117,-2645,-3166,-3671,-4164,-4652,-5130,-5588,-6040,-6472,-6888,-7285,-7658,
-8005,-8330,-8628,-8892,-9131,-9339,-9517,-9661,-9767,-9843,-9880,-9877,-9836,-9750,-9625,-9447,-9227,-8959,-8647,-8287,
-7896,-7467,-7012,-6526,-6025,-5510,-4990,-4465,-3946,-3432,-2936,-2465,-2012,-1587,-1199,-835,-515,-231,12,222,
400,541,650,741,812,860,901,934,968,1003,1045,1104,1182,1276,1400,1545,1728,1940,2182,2456,
2765,3105,3472,3861,4279,4716,5175,5630,6101,6564,7027,7465,7884,8273,8629,8939,9217,9437,9615,9732,
9806,9834,9807,9735,9617,9456,9246,8997,8704,8379,8014,7622,7196,6749,6275,5785,5274,4761,4228,3690,
3148,2598,2044,1490,925,367,-195,-754,-1313,-1864,-2408,-2938,-3469,-3972,-4465,-4941,-5403,-5843,-6275,-6684,
-7077,-7455,-7805,-8138,-8453,-8735,-8996,-9226,-9426,-9590,-9709,-9797,-9846,-9850,-9813,-9732,-9610,-9449,-9238,-8988,
-8696,-8369,-7997,-7589,-7153,-6686,-6193,-5680,-5158,-4631,-4103,-3583,-3072,-2593,-2130,-1699,-1298,-938,-608,-316,
-60,151,339,491,615,714,790,848,893,924,958,989,1030,1079,1145,1229,1335,1469,1630,1831,
2061,2321,2618,2951,3308,3702,4112,4547,4996,5452,5914,6375,6828,7274,7689,8092,8461,8799,9091,9343,
9546,9702,9798,9847,9841,9782,9670,9516,9316,9071,8788,8472,8124,7747,7343,6914,6462,5988,5495,4983,
4458,3920,3368,2810,2248,1683,1118,552,-9,-565,-1114,-1660,-2196,-2722,-3239,-3750,-4245,-4732,-5208,-5671,
-6114,-6543,-6948,-7338,-7701,-8037,-8351,-8637,-8893,-9125,-9328,-9502,-9641,-9745,-9814,-9846,-9833,-9781,-9679,-9536,
-9348,-9112,-8825,-8502,-8136,-7734,-7306,-6841,-6363,-5863,-5352,-4835,-4317,-3798,-3294,-2804,-2340,-1894,-1485,-1103,
-760,-451,-186,51,243,401,533,638,714,774,819,854,882,913,953,995,1053,1136,1239,1363,
1518,1698,1911,2162,2438,2752,3097,3471,3871,4292,4738,5192,5660,6127,6593,7043,7478,7884,8264,8607,
8910,9167,9386,9547,9664,9730,9748,9715,9641,9508,9336,9117,8853,8549,8210,7838,7437,7004,6554,6080,
5591,5084,4568,4045,3510,2966,2416,1861,1300,741,175,-390,-948,-1506,-2049,-2585,-3115,-3623,-4122,-4603,
-5073,-5524,-5965,-6385,-6795,-7182,-7556,-7906,-8237,-8542,-8823,-9067,-9285,-9467,-9614,-9724,-9795,-9827,-9820,-9770,
-9680,-9552,-9380,-9166,-8906,-8603,-8261,-7877,-7461,-7008,-6531,-6034,-5518,-4992,-4463,-3939,-3423,-2920,-2447,-1998,
-1577,-1187,-832,-517,-231,16,228,402,549,669,760,830,885,928,964,992,1027,1069,1126,1194,
1286,1405,1544,1717,1923,2163,2436,2742,3076,3447,3839,4254,4680,5133,5589,6048,6505,6959,7397,7816,
8204,8570,8890,9175,9410,9598,9731,9814,9838,9813,9738,9616,9445,9238,8988,8699,8376,8026,7643,7230,
6791,6330,5846,5348,4824,4287,3746,3195,2636,2076,1514,953,394,-165,-719,-1264,-1809,-2342,-2868,-3391,
-3898,-4401,-4882,-5354,-5812,-6246,-6661,-7059,-7434,-7788,-8117,-8421,-8702,-8957,-9179,-9379,-9542,-9682,-9779,-9834,
-9853,-9829,-9756,-9644,-9480,-9278,-9028,-8736,-8398,-8030,-7625,-7188,-6726,-6241,-5743,-5230,-4711,-4190,-3674,-3168,
-2683,-2213,-1782,-1368,-993,-661,-360,-98,128,315,469,598,696,774,838,889,925,964,998,1041,
1097,1165,1252,1365,1497,1660,1849,2075,2331,2622,2940,3297,3681,4088,4520,4963,5424,5885,6348,6803,
7245,7666,8059,8420,8750,9039,9284,9484,9637,9738,9792,9791,9743,9648,9500,9304,9071,8788,8472,8114,
7729,7317,6882,6423,5951,5457,4953,4434,3905,3363,2813,2256,1694,1123,559,-14,-579,-1139,-1691,-2236,
-2767,-3287,-3789,-4285,-4769,-5230,-5685,-6127,-6555,-6959,-7353,-7723,-8073,-8396,-8693,-8960,-9202,-9404,-9579,-9711,
-9816,-9878,-9905,-9892,-9839,-9744,-9610,-9428,-9207,-8937,-8624,-8271,-7879,-7448,-6991,-6504,-6004,-5484,-4961,-4435,
-3917,-3408,-2918,-2447,-2003,-1588,-1201,-851,-536,-258,-12,193,371,507,624,718,788,837,884,920,
955,995,1044,1106,1187,1287,1419,1570,1764,1976,2226,2509,2825,3166,3540,3937,4358,4793,5240,5700,
6162,6620,7074,7507,7919,8303,8652,8968,9232,9450,9618,9737,9801,9817,9776,9695,9563,9388,9172,8921,
8624,8296,7928,7540,7116,6670,6196,5707,5194,4675,4129,3592,3037,2485,1925,1370,814,259,-304,-862,
-1406,-1955,-2496,-3024,-3541,-4053,-4547,-5030,-5492,-5937,-6365,-6775,-7163,-7535,-7880,-8211,-8506,-8790,-9040,-9265,
-9457,-9619,-9743,-9831,-9875,-9879,-9838,-9757,-9630,-9456,-9236,-8982,-8678,-8337,-7965,-7554,-7112,-6647,-6158,-5657,
-5137,-4614,-4092,-3577,-3072,-2593,-2133,-1700,-1307,-943,-616,-333,-77,138,318,466,590,687,765,823,
874,917,954,997,1041,1100,1176,1267,1381,1527,1695,1901,2131,2401,2703,3039,3401,3795,4209,4644,
5095,5554,6021,6482,6927,7366,7778,8169,8527,8845,9129,9368,9559,9709,9800,9841,9829,9763,9656,9493,
9287,9037,8748,8421,8068,7675,7263,6824,6369,5894,5405,4898,4375,3839,3292,2736,2173,1607,1042,470,
-96,-662,-1218,-1759,-2297,-2823,-3336,-3839,-4329,-4813,-5279,-5732,-6173,-6597,-7004,-7389,-7754,-8094,-8412,-8698,
-8954,-9181,-9379,-9541,-9670,-9769,-9826,-9847,-9830,-9771,-9672,-9523,-9332,-9097,-8819,-8490,-8123,-7721,-7288,-6823,
-6335,-5833,-5318,-4797,-4277,-3767,-3268,-2782,-2316,-1879,-1472,-1095,-752,-447,-178,55,251,415,549,652,
740,803,852,894,931,966,1014,1062,1131,1218,1326,1462,1625,1816,2041,2297,2585,2902,3253,3627,
4029,4453,4893,5345,5806,6270,6728,7170,7602,8006,8379,8713,9008,9255,9465,9614,9719,9767,9774,9726,
9634,9495,9312,9089,8822,8522,8181,7809,7402,6969,6516,6036,5540,5033,4505,3973,3426,2882,2333,1777,
1219,665,103,-455,-1014,-1568,-2113,-2650,-3181,-3693,-4195,-4681,-5155,-5609,-6044,-6466,-6867,-7246,-7616,-7956,
-8281,-8582,-8855,-9101,-9319,-9500,-9649,-9761,-9829,-9861,-9850,-9796,-9703,-9565,-9379,-9157,-8887,-8585,-8235,-7852,
-7439,-6990,-6514,-6023,-5507,-4987,-4460,-3942,-3429,-2933,-2454,-2008,-1589,-1205,-853,-538,-257,-17,192,366,
513,628,721,794,856,899,940,981,1019,1069,1127,1207,1302,1430,1575,1759,1968,2213,2495,2802,
3147,3516,3916,4332,4768,5220,5676,6129,6587,7030,7456,7866,8249,8601,8913,9186,9413,9594,9726,9801,
9828,9800,9719,9592,9418,9199,8937,8643,8315,7956,7562,7142,6710,6246,5764,5265,4752,4222,3680,3123,
2568,2002,1439,871,308,-250,-807,-1355,-1900,-2430,-2949,-3466,-3962,-4457,-4937,-5406,-5859,-6296,-6713,-7112,
-7488,-7841,-8168,-8472,-8748,-8992,-9214,-9404,-9555,-9683,-9771,-9821,-9839,-9810,-9739,-9625,-9461,-9254,-9003,-8707,
-8370,-7992,-7580,-7140,-6672,-6182,-5679,-5165,-4651,-4133,-3623,-3127,-2644,-2184,-1753,-1347,-984,-649,-350,-92,
133,324,477,607,703,785,845,897,934,979,1016,1064,1123,1195,1293,1407,1549,1722,1921,2149,
2417,2708,3036,3391,3778,4185,4615,5059,5513,5975,6436,6886,7329,7746,8138,8495,8823,9095,9333,9520,
9659,9748,9793,9786,9730,9623,9477,9281,9046,8763,8450,8095,7712,7297,6855,6389,5908,5411,4899,4378,
3846,3305,2753,2205,1649,1086,520,-43,-610,-1164,-1721,-2265,-2800,-3322,-3831,-4324,-4805,-5268,-5718,-6153,
-6569,-6969,-7354,-7714,-8060,-8376,-8674,-8944,-9177,-9381,-9554,-9686,-9783,-9842,-9863,-9838,-9776,-9669,-9527,-9335,
-9102,-8830,-8514,-8166,-7767,-7344,-6888,-6404,-5898,-5382,-4859,-4338,-3817,-3309,-2822,-2354,-1913,-1500,-1125,-785,
-477,-203,31,235,407,546,659,744,814,873,920,957,999,1041,1098,1163,1245,1354,1480,1641,
1831,2052,2308,2594,2911,3259,3637,4037,4459,4899,5345,5800,6256,6710,7149,7571,7976,8353,8695,9000,
9260,9476,9635,9754,9810,9820,9775,9685,9538,9356,9127,8865,8558,8227,7862,7468,7048,6598,6128,5642,
5133,4612,4073,3526,2971,2411,1850,1284,723,168,-389,-942,-1487,-2031,-2562,-3088,-3599,-4105,-4597,-5080,
-5542,-5991,-6420,-6829,-7220,-7590,-7932,-8254,-8548,-8818,-9063,-9274,-9462,-9615,-9729,-9815,-9855,-9858,-9818,-9740,
-9602,-9430,-9202,-8940,-8631,-8284,-7904,-7485,-7041,-6574,-6082,-5576,-5063,-4547,-4029,-3521,-3025,-2552,-2095,-1670,
-1276,-915,-595,-310,-58,154,332,481,600,696,772,832,884,925,965,1013,1063,1130,1205,1305,
1429,1580,1755,1967,2203,2474,2777,3113,3479,3872,4286,4725,5175,5636,6096,6547,7000,7434,7839,8223,
8571,8881,9153,9379,9557,9690,9770,9805,9790,9723,9609,9442,9234,8985,8692,8365,8005,7609,7191,6747,
6278,5801,5304,4789,4269,3736,3195,2641,2085,1520,956,387,-178,-743,-1302,-1851,-2397,-2923,-3436,-3941,
-4428,-4900,-5362,-5814,-6249,-6663,-7067,-7446,-7810,-8144,-8460,-8748,-9008,-9227,-9429,-9585,-9710,-9797,-9849,-9857,
-9835,-9764,-9656,-9505,-9309,-9066,-8785,-8460,-8099,-7695,-7258,-6794,-6310,-5806,-5290,-4769,-4252,-3742,-3244,-2761,
-2306,-1875,-1476,-1106,-769,-477,-209,16,213,376,512,620,701,766,821,865,909,944,999,1048,
1124,1212,1327,1468,1638,1834,2068,2330,2628,2950,3306,3688,4097,4517,4959,5408,5866,6318,6772,7212,
7632,8031,8398,8730,9025,9269,9462,9613,9711,9754,9746,9693,9586,9439,9245,9014,8742,8436,8097,7729,
7321,6892,6435,5960,5462,4952,4423,3889,3342,2791,2234,1676,1120,560,3,-546,-1100,-1646,-2190,-2723,
-3244,-3763,-4260,-4751,-5221,-5680,-6116,-6541,-6940,-7322,-7682,-8021,-8336,-8624,-8890,-9133,-9339,-9519,-9662,-9772,
-9837,-9868,-9857,-9805,-9702,-9558,-9368,-9140,-8861,-8550,-8197,-7811,-7391,-6941,-6471,-5977,-5468,-4953,-4434,-3922,
-3414,-2922,-2450,-2005,-1590,-1208,-858,-548,-272,-32,175,342,487,601,695,768,825,877,917,963,
1010,1067,1133,1221,1322,1453,1609,1794,2007,2260,2539,2853,3193,3570,3968,4389,4823,5279,5737,6195,
6644,7089,7512,7913,8285,8621,8926,9185,9404,9571,9694,9765,9785,9754,9681,9546,9375,9147,8884,8581,
8245,7873,7479,7058,6616,6145,5664,5167,4654,4130,3594,3045,2490,1925,1363,797,229,-333,-890,-1443,
-1982,-2518,-3040,-3550,-4043,-4530,-5004,-5463,-5908,-6338,-6758,-7152,-7525,-7883,-8208,-8507,-8786,-9029,-9241,-9426,
-9569,-9682,-9762,-9802,-9804,-9767,-9695,-9571,-9405,-9197,-8945,-8645,-8307,-7928,-7516,-7074,-6604,-6108,-5609,-5086,
-4573,-4056,-3548,-3053,-2581,-2129,-1707,-1309,-946,-618,-326,-70,152,339,492,620,723,804,870,918,
965,1002,1047,1098,1162,1238,1341,1457,1611,1783,1992,2231,2503,2804,3138,3493,3881,4289,4718,5157,
5611,6072,6528,6971,7411,7823,8215,8570,8888,9161,9390,9574,9702,9781,9812,9796,9728,9613,9455,9254,
9012,8732,8412,8061,7675,7265,6823,6360,5872,5370,4854,4325,3789,3244,2696,2142,1581,1022,465,-96,
-654,-1207,-1759,-2299,-2837,-3359,-3870,-4364,-4849,-5313,-5763,-6194,-6609,-7007,-7383,-7739,-8072,-8386,-8673,-8931,
-9167,-9372,-9539,-9671,-9773,-9826,-9841,-9817,-9743,-9636,-9478,-9281,-9040,-8758,-8438,-8077,-7684,-7257,-6803,-6321,
-5823,-5314,-4791,-4278,-3758,-3259,-2772,-2302,-1867,-1462,-1084,-748,-442,-180,51,253,419,555,668,758,
832,887,936,985,1026,1075,1136,1206,1299,1409,1545,1711,1906,2130,2388,2682,3004,3358,3737,4144,
4568,5009,5454,5917,6366,6819,7250,7666,8062,8427,8758,9054,9304,9511,9665,9772,9831,9834,9784,9686,
9541,9350,9114,8839,8526,8181,7808,7408,6982,6536,6066,5572,5077,4553,4016,3474,2923,2360,1794,1224,
658,95,-464,-1022,-1564,-2104,-2631,-3156,-3665,-4160,-4651,-5128,-5583,-6029,-6461,-6874,-7267,-7635,-7978,-8298,
-8591,-8858,-9093,-9299,-9478,-9621,-9729,-9807,-9839,-9837,-9793,-9708,-9571,-9397,-9173,-8906,-8597,-8246,-7860,-7438,
-6992,-6515,-6024,-5521,-5008,-4491,-3982,-3479,-2991,-2520,-2075,-1657,-1268,-913,-594,-307,-59,149,326,480,
595,699,775,836,886,933,981,1027,1083,1156,1240,1347,1476,1630,1816,2036,2281,2562,2872,3212,
3578,3967,4388,4821,5267,5727,6186,6645,7090,7516,7923,8304,8645,8949,9212,9427,9599,9716,9786,9805,
9777,9698,9581,9413,9201,8949,8651,8324,7957,7563,7140,6692,6225,5733,5227,4715,4187,3649,3106,2559,
2005,1447,879,321,-238,-804,-1359,-1910,-2454,-2982,-3504,-4010,-4500,-4976,-5440,-5877,-6309,-6718,-7119,-7491,
-7849,-8179,-8492,-8772,-9035,-9256,-9452,-9612,-9732,-9813,-9861,-9863,-9829,-9748,-9631,-9473,-9267,-9022,-8734,-8408,
-8039,-7641,-7210,-6751,-6265,-5763,-5251,-4731,-4213,-3704,-3204,-2730,-2271,-1847,-1450,-1090,-756,-462,-201,16,
212,375,508,615,705,777,837,882,928,978,1031,1095,1175,1270,1394,1535,1712,1919,2157,2425,
2726,3060,3421,3806,4214,4642,5085,5533,5985,6439,6884,7318,7725,8116,8473,8794,9079,9321,9510,9656,
9741,9781,9766,9702,9589,9433,9234,8988,8703,8386,8044,7664,7256,6831,6376,5900,5405,4892,4368,3831,
3279,2722,2163,1599,1040,474,-83,-635,-1188,-1730,-2269,-2796,-3314,-3830,-4325,-4809,-5283,-5741,-6180,-6605,
-7009,-7396,-7752,-8091,-8399,-8686,-8941,-9174,-9377,-9550,-9687,-9789,-9856,-9886,-9871,-9813,-9712,-9573,-9380,-9145,
-8869,-8546,-8188,-7794,-7373,-6923,-6448,-5955,-5450,-4943,-4426,-3915,-3418,-2933,-2471,-2028,-1611,-1234,-889,-574,
-303,-61,143,313,456,572,664,742,802,855,904,952,1001,1062,1141,1238,1350,1483,1649,1843,
2070,2323,2607,2926,3271,3646,4045,4466,4906,5354,5810,6269,6720,7158,7579,7972,8341,8672,8961,9211,
9416,9575,9686,9739,9754,9717,9632,9496,9318,9096,8829,8522,8183,7814,7410,6980,6535,6060,5576,5074,
4557,4031,3495,2951,2403,1844,1283,716,153,-409,-966,-1520,-2062,-2601,-3121,-3627,-4130,-4603,-5073,-5524,
-5972,-6391,-6804,-7189,-7563,-7916,-8243,-8544,-8819,-9060,-9275,-9450,-9601,-9704,-9776,-9808,-9805,-9753,-9670,-9539,
-9372,-9155,-8900,-8596,-8259,-7882,-7469,-7026,-6557,-6063,-5557,-5042,-4526,-4008,-3503,-3016,-2544,-2101,-1678,-1289,
-936,-614,-327,-73,150,331,489,618,720,800,868,920,972,1013,1062,1119,1187,1264,1371,1496,
1654,1829,2046,2291,2568,2872,3213,3575,3965,4375,4801,5244,5694,6143,6594,7036,7465,7871,8250,8603,
8919,9184,9415,9591,9716,9790,9808,9784,9709,9584,9417,9212,8960,8675,8349,7996,7610,7198,6757,6298,
5812,5312,4791,4260,3719,3173,2615,2062,1500,939,383,-178,-732,-1280,-1824,-2364,-2893,-3412,-3920,-4420,
-4903,-5368,-5823,-6253,-6667,-7064,-7437,-7791,-8121,-8423,-8705,-8957,-9183,-9380,-9541,-9675,-9769,-9823,-9838,-9808,
-9736,-9622,-9458,-9261,-9007,-8716,-8387,-8022,-7622,-7195,-6737,-6261,-5765,-5256,-4745,-4233,-3721,-3226,-2744,-2285,
-1855,-1449,-1080,-748,-448,-184,39,237,398,533,638,727,801,863,911,960,1006,1059,1125,1202,
1298,1418,1556,1729,1923,2152,2418,2708,3030,3390,3768,4175,4595,5038,5489,5942,6395,6840,7270,7685,
8071,8424,8744,9030,9268,9466,9611,9712,9761,9756,9708,9607,9457,9265,9029,8747,8432,8081,7701,7295,
6862,6407,5937,5445,4941,4419,3889,3349,2800,2240,1677,1114,547,-23,-583,-1139,-1690,-2231,-2760,-3278,
-3779,-4274,-4758,-5224,-5680,-6120,-6544,-6950,-7338,-7709,-8055,-8372,-8662,-8926,-9161,-9360,-9529,-9668,-9765,-9826,
-9852,-9840,-9788,-9692,-9552,-9366,-9147,-8874,-8561,-8209,-7820,-7396,-6946,-6466,-5976,-5467,-4953,-4437,-3928,-3425,
-2944,-2479,-2044,-1631,-1249,-901,-587,-306,-63,145,323,467,589,689,767,830,882,929,976,1023,
1084,1162,1250,1362,1502,1663,1857,2073,2325,2613,2926,3271,3645,4034,4450,4882,5325,5783,6237,6676,
7125,7548,7955,8324,8665,8970,9229,9439,9605,9718,9779,9790,9751,9670,9537,9364,9149,8889,8599,8267,
7902,7512,7090,6643,6173,5682,5176,4654,4122,3583,3038,2484,1929,1372,813,257,-305,-859,-1410,-1960,
-2496,-3025,-3543,-4044,-4541,-5015,-5475,-5918,-6349,-6751,-7139,-7508,-7858,-8184,-8485,-8762,-9014,-9232,-9422,-9577,
-9696,-9780,-9820,-9820,-9775,-9695,-9562,-9392,-9178,-8925,-8628,-8291,-7922,-7518,-7082,-6627,-6138,-5643,-5132,-4617,
-4103,-3600,-3105,-2630,-2180,-1754,-1362,-1007,-681,-394,-136,83,271,428,558,663,753,819,884,936,
983,1038,1093,1167,1247,1349,1477,1629,1808,2019,2257,2533,2836,3170,3532,3923,4335,4769,5205,5656,
6110,6558,6998,7423,7827,8208,8555,8870,9144,9375,9558,9698,9783,9819,9801,9735,9622,9455,9253,9001,
8713,8391,8032,7647,7236,6803,6344,5870,5377,4870,4346,3808,3260,2703,2145,1579,1013,448,-115,-677,
-1225,-1769,-2306,-2834,-3345,-3852,-4346,-4827,-5294,-5751,-6189,-6611,-7010,-7398,-7759,-8094,-8409,-8691,-8946,-9176,
-9368,-9528,-9659,-9758,-9818,-9837,-9817,-9760,-9655,-9507,-9312,-9078,-8799,-8475,-8115,-7720,-7296,-6835,-6360,-5865,
-5364,-4856,-4344,-3839,-3347,-2867,-2415,-1978,-1578,-1203,-861,-556,-287,-50,152,324,459,577,673,747,
808,864,912,964,1021,1086,1168,1263,1381,1531,1700,1903,2127,2388,2681,3004,3354,3729,4129,4550,
4987,5432,5886,6341,6792,7223,7641,8037,8396,8718,9006,9247,9445,9591,9692,9743,9742,9692,9598,9464,
9278,9052,8784,8480,8138,7766,7358,6931,6477,6000,5509,5001,4479,3955,3406,2867,2315,1761,1202,644,
83,-474,-1032,-1584,-2128,-2666,-3191,-3702,-4201,-4682,-5157,-5609,-6045,-6463,-6869,-7248,-7616,-7958,-8282,-8582,
-8850,-9092,-9309,-9483,-9627,-9733,-9809,-9833,-9820,-9765,-9674,-9537,-9357,-9137,-8874,-8569,-8232,-7849,-7437,-6996,
-6530,-6043,-5538,-5028,-4510,-4001,-3498,-3008,-2542,-2104,-1688,-1308,-953,-637,-357,-111,105,286,441,562,
667,750,823,878,936,985,1041,1098,1172,1264,1375,1503,1669,1853,2076,2321,2603,2917,3259,3629,
4022,4439,4871,5316,5757,6211,6657,7092,7512,7911,8283,8624,8925,9191,9411,9581,9700,9775,9791,9761,
9677,9546,9376,9154,8896,8608,8278,7918,7530,7116,6681,6217,5736,5239,4720,4191,3652,3099,2547,1984,
1420,859,300,-257,-809,-1360,-1898,-2432,-2953,-3468,-3969,-4459,-4941,-5410,-5857,-6289,-6704,-7099,-7466,-7820,
-8143,-8446,-8719,-8968,-9185,-9370,-9526,-9652,-9733,-9787,-9799,-9766,-9694,-9579,-9414,-9206,-8953,-8664,-8331,-7961,
-7555,-7126,-6668,-6186,-5692,-5187,-4680,-4170,-3665,-3176,-2701,-2249,-1822,-1421,-1058,-727,-427,-167,60,253,
415,553,658,747,824,882,937,988,1041,1101,1172,1256,1364,1489,1640,1819,2026,2261,2529,2826,
3155,3508,3891,4297,4721,5161,5613,6060,6514,6953,7381,7788,8169,8514,8831,9096,9327,9506,9643,9729,
9768,9754,9697,9587,9436,9239,8999,8717,8400,8044,7663,7246,6807,6349,5872,5375,4866,4347,3814,3272,
2722,2171,1612,1044,482,-84,-643,-1204,-1755,-2300,-2832,-3351,-3857,-4349,-4826,-5290,-5741,-6176,-6594,-6995,
-7378,-7737,-8078,-8398,-8692,-8956,-9187,-9389,-9559,-9688,-9784,-9837,-9859,-9838,-9777,-9674,-9533,-9338,-9111,-8839,
-8530,-8178,-7787,-7367,-6914,-6441,-5947,-5438,-4926,-4413,-3901,-3407,-2928,-2465,-2029,-1626,-1250,-907,-598,-321,
-81,127,308,454,575,675,758,827,880,932,988,1044,1113,1188,1287,1404,1542,1711,1910,2141,
2398,2687,3007,3359,3732,4128,4550,4980,5423,5869,6320,6765,7196,7613,8008,8373,8704,8996,9246,9454,
9610,9715,9768,9776,9725,9633,9490,9309,9080,8816,8516,8185,7818,7422,6995,6552,6080,5597,5077,4562,
4026,3486,2929,2374,1817,1253,693,137,-424,-971,-1520,-2066,-2596,-3121,-3637,-4140,-4632,-5111,-5570,-6017,
-6442,-6848,-7237,-7603,-7944,-8263,-8558,-8832,-9071,-9281,-9468,-9616,-9730,-9811,-9851,-9851,-9806,-9718,-9587,-9409,
-9191,-8932,-8623,-8287,-7908,-7500,-7061,-6599,-6115,-5620,-5112,-4606,-4097,-3592,-3103,-2633,-2187,-1763,-1374,-1014,
-697,-406,-155,65,252,407,535,643,724,801,863,916,968,1028,1091,1168,1257,1370,1500,1660,
1846,2064,2305,2586,2892,3226,3593,3988,4396,4831,5275,5725,6179,6626,7066,7484,7884,8259,8596,8901,
9165,9387,9560,9686,9761,9793,9774,9703,9584,9419,9210,8958,8666,8340,7982,7593,7181,6731,6277,5796,
5302,4790,4269,3736,3193,2638,2082,1522,956,391,-173,-734,-1289,-1834,-2372,-2899,-3412,-3915,-4403,-4879,
-5338,-5787,-6224,-6641,-7037,-7421,-7776,-8108,-8419,-8701,-8956,-9177,-9367,-9524,-9648,-9732,-9781,-9793,-9768,-9694,
-9585,-9430,-9237,-8992,-8713,-8388,-8033,-7630,-7201,-6747,-6267,-5771,-5266,-4753,-4246,-3746,-3252,-2779,-2329,-1901,
-1504,-1133,-800,-504,-235,-5,193,364,504,617,713,782,850,906,959,1013,1074,1141,1224,1321,
1448,1600,1773,1976,2216,2481,2779,3103,3459,3840,4243,4660,5100,5537,5993,6436,6881,7311,7725,8110,
8472,8791,9075,9310,9496,9642,9732,9770,9767,9708,9607,9459,9266,9034,8764,8453,8115,7743,7340,6910,
6454,5979,5486,4975,4449,3916,3373,2825,2266,1711,1153,595,38,-517,-1072,-1613,-2157,-2692,-3219,-3730,
-4231,-4715,-5185,-5637,-6080,-6496,-6892,-7273,-7633,-7969,-8285,-8578,-8840,-9079,-9285,-9461,-9605,-9706,-9774,-9799,
-9785,-9729,-9629,-9483,-9301,-9069,-8798,-8490,-8140,-7761,-7348,-6907,-6440,-5955,-5454,-4950,-4438,-3935,-3434,-2951,
-2486,-2051,-1635,-1258,-911,-602,-326,-82,125,300,453,574,677,761,831,890,946,1002,1060,1129,
1201,1300,1408,1549,1712,1905,2125,2382,2663,2980,3321,3695,4093,4507,4936,5387,5833,6282,6720,7154,
7569,7959,8323,8653,8950,9205,9411,9573,9690,9753,9768,9733,9645,9516,9334,9113,8851,8549,8213,7847,
7458,7037,6594,6130,5652,5151,4638,4110,3574,3023,2472,1907,1343,780,214,-345,-898,-1453,-1989,-2527,
-3048,-3560,-4057,-4544,-5016,-5477,-5920,-6354,-6766,-7161,-7534,-7885,-8205,-8504,-8777,-9020,-9233,-9410,-9559,-9672,
-9752,-9792,-9794,-9757,-9681,-9560,-9392,-9183,-8931,-8632,-8299,-7925,-7521,-7083,-6623,-6140,-5644,-5138,-4630,-4122,
-3630,-3138,-2673,-2225,-1809,-1414,-1054,-727,-438,-180,46,239,401,534,644,734,804,866,923,980,
1030,1096,1170,1262,1370,1501,1656,1843,2054,2299,2572,2874,3208,3564,3947,4353,4778,5214,5660,6108,
6557,6995,7417,7823,8201,8541,8851,9118,9342,9510,9638,9715,9741,9719,9652,9540,9381,9177,8934,8655,
8336,7981,7595,7183,6747,6283,5794,5299,4787,4261,3725,3185,2635,2082,1524,963,405,-157,-715,-1268,
-1820,-2362,-2898,-3418,-3922,-4414,-4895,-5356,-5809,-6238,-6655,-7048,-7424,-7779,-8116,-8424,-8712,-8966,-9204,-9402,
-9566,-9697,-9790,-9845,-9857,-9830,-9762,-9654,-9499,-9304,-9069,-8788,-8473,-8119,-7731,-7310,-6860,-6388,-5900,-5399,
-4886,-4374,-3869,-3378,-2897,-2440,-2012,-1610,-1236,-898,-595,-329,-92,111,282,428,550,651,734,802,
863,921,975,1039,1111,1193,1297,1413,1561,1735,1935,2169,2431,2724,3050,3404,3781,4184,4600,5036,
5476,5922,6366,6805,7228,7637,8023,8380,8700,8987,9227,9425,9571,9674,9722,9721,9669,9571,9425,9233,
8997,8726,8420,8079,7707,7311,6885,6442,5972,5482,4979,4461,3927,3382,2836,2272,1710,1146,586,24,
-532,-1082,-1628,-2167,-2697,-3220,-3727,-4225,-4712,-5185,-5640,-6087,-6510,-6922,-7307,-7671,-8013,-8330,-8619,-8890,
-9119,-9329,-9498,-9640,-9746,-9819,-9847,-9842,-9794,-9704,-9571,-9391,-9170,-8908,-8599,-8250,-7867,-7456,-7019,-6548,
-6071,-5574,-5067,-4561,-4056,-3559,-3082,-2614,-2173,-1757,-1371,-1014,-696,-410,-164,57,243,396,525,631,
721,797,856,913,971,1033,1100,1183,1278,1398,1534,1702,1893,2113,2365,2647,2958,3301,3664,4054,
4465,4897,5340,5787,6239,6685,7120,7537,7933,8302,8633,8931,9188,9398,9560,9670,9741,9759,9732,9651,
9533,9361,9146,8893,8600,8271,7907,7514,7097,6651,6188,5702,5203,4693,4165,3630,3091,2540,1988,1427,
865,301,-260,-821,-1374,-1918,-2461,-2985,-3504,-4004,-4490,-4967,-5424,-5865,-6296,-6707,-7100,-7475,-7827,-8160,
-8466,-8746,-8996,-9215,-9409,-9565,-9680,-9762,-9806,-9807,-9770,-9691,-9576,-9413,-9209,-8961,-8680,-8350,-7988,-7591,
-7165,-6709,-6232,-5738,-5231,-4720,-4213,-3709,-3225,-2754,-2306,-1881,-1490,-1126,-796,-499,-239,-12,187,355,
493,610,708,786,853,909,967,1028,1092,1162,1253,1361,1493,1639,1824,2036,2276,2547,2850,3181,
3541,3921,4323,4749,5182,5623,6065,6513,6952,7370,7772,8153,8503,8818,9094,9325,9512,9646,9728,9765,
9748,9684,9573,9414,9217,8975,8698,8385,8039,7662,7257,6830,6376,5906,5403,4897,4371,3836,3289,2740,
2183,1621,1060,499,-55,-611,-1161,-1704,-2242,-2771,-3293,-3803,-4298,-4779,-5254,-5705,-6141,-6562,-6959,-7343,
-7697,-8030,-8342,-8625,-8881,-9114,-9311,-9484,-9616,-9715,-9781,-9803,-9784,-9725,-9621,-9475,-9282,-9045,-8773,-8457,
-8101,-7714,-7298,-6853,-6389,-5900,-5403,-4901,-4394,-3890,-3399,-2921,-2461,-2026,-1618,-1244,-899,-591,-316,-78,
126,306,455,577,675,761,831,897,949,1008,1073,1144,1227,1328,1449,1597,1767,1962,2193,2448,
2737,3059,3398,3775,4168,4587,5021,5464,5910,6363,6800,7232,7639,8025,8385,8709,8993,9243,9445,9595,
9704,9756,9769,9726,9637,9501,9321,9096,8834,8524,8190,7818,7419,6992,6548,6080,5600,5096,4583,4058,
3524,2975,2426,1868,1311,744,180,-380,-940,-1491,-2031,-2563,-3082,-3591,-4088,-4570,-5039,-5496,-5936,-6358,
-6769,-7158,-7529,-7876,-8200,-8501,-8770,-9011,-9221,-9396,-9544,-9650,-9722,-9755,-9747,-9700,-9612,-9486,-9318,-9103,
-8848,-8553,-8214,-7842,-7431,-6998,-6538,-6052,-5559,-5050,-4546,-4039,-3543,-3061,-2603,-2161,-1748,-1363,-1006,-686,
-398,-144,75,263,427,560,667,759,836,900,958,1012,1073,1142,1219,1310,1425,1561,1725,1908,
2128,2378,2656,2965,3303,3665,4052,4454,4879,5310,5755,6198,6644,7075,7496,7892,8263,8602,8907,9163,
9384,9554,9670,9742,9759,9733,9655,9533,9369,9158,8909,8625,8297,7949,7562,7146,6708,6252,5765,5264,
4749,4221,3686,3140,2585,2032,1474,918,357,-202,-752,-1302,-1850,-2383,-2915,-3431,-3937,-4430,-4911,-5374,
-5824,-6254,-6665,-7054,-7428,-7783,-8106,-8413,-8693,-8943,-9166,-9362,-9521,-9650,-9734,-9786,-9798,-9767,-9695,-9579,
-9416,-9216,-8970,-8685,-8363,-8003,-7606,-7186,-6735,-6266,-5781,-5279,-4769,-4264,-3760,-3272,-2798,-2347,-1917,-1516,
-1152,-817,-514,-254,-18,181,351,496,613,715,797,870,934,989,1052,1121,1192,1284,1390,1520,
1672,1854,2053,2292,2556,2854,3179,3535,3915,4317,4736,5171,5612,6057,6500,6935,7355,7758,8128,8477,
8791,9064,9296,9485,9627,9719,9761,9750,9699,9589,9440,9244,9007,8727,8415,8060,7685,7281,6851,6400,
5931,5438,4933,4413,3882,3341,2792,2234,1671,1108,542,-24,-583,-1136,-1684,-2224,-2753,-3271,-3778,-4271,
-4752,-5222,-5675,-6114,-6537,-6940,-7326,-7692,-8033,-8347,-8637,-8898,-9126,-9325,-9493,-9631,-9729,-9790,-9818,-9807,
-9752,-9657,-9518,-9332,-9116,-8844,-8536,-8191,-7806,-7387,-6948,-6479,-5996,-5494,-4992,-4487,-3987,-3488,-3016,-2561,
-2122,-1716,-1332,-985,-668,-385,-137,79,262,415,549,655,745,820,885,947,1005,1069,1140,1230,
1329,1452,1601,1771,1970,2193,2451,2739,3052,3393,3767,4153,4568,4993,5433,5877,6324,6763,7196,7607,
7999,8359,8684,8976,9224,9425,9580,9687,9744,9750,9709,9626,9494,9315,9099,8839,8545,8213,7848,7455,
7034,6584,6118,5629,5124,4607,4071,3536,2993,2438,1884,1329,770,208,-353,-906,-1460,-2005,-2548,-3071,
-3586,-4087,-4581,-5054,-5512,-5954,-6381,-6787,-7174,-7539,-7892,-8215,-8515,-8790,-9038,-9255,-9440,-9592,-9712,-9793,
-9827,-9828,-9790,-9703,-9576,-9408,-9197,-8947,-8650,-8324,-7959,-7558,-7128,-6674,-6196,-5706,-5204,-4697,-4191,-3692,
-3202,-2742,-2292,-1879,-1483,-1126,-803,-510,-252,-29,168,332,469,587,686,765,839,902,962,1023,
1093,1173,1265,1379,1516,1676,1863,2075,2318,2597,2906,3237,3600,3986,4390,4814,5248,5694,6137,6572,
7005,7422,7816,8185,8522,8833,9097,9319,9496,9626,9707,9735,9714,9645,9530,9367,9157,8913,8627,8306,
7951,7570,7163,6729,6273,5805,5308,4799,4273,3736,3192,2639,2080,1518,956,393,-168,-729,-1277,-1819,
-2355,-2882,-3395,-3900,-4393,-4876,-5341,-5790,-6229,-6646,-7047,-7426,-7783,-8116,-8423,-8704,-8955,-9181,-9372,-9535,
-9661,-9757,-9819,-9829,-9811,-9750,-9644,-9492,-9299,-9065,-8786,-8466,-8109,-7720,-7298,-6848,-6380,-5894,-5401,-4898,
-4396,-3896,-3406,-2933,-2482,-2053,-1654,-1280,-938,-635,-365,-123,81,256,402,524,629,714,781,851,
908,974,1035,1112,1205,1311,1437,1589,1765,1973,2204,2465,2762,3080,3427,3804,4203,4617,5048,5488,
5936,6377,6816,7242,7648,8029,8383,8694,8972,9208,9398,9540,9635,9678,9680,9629,9533,9393,9208,8979,
8713,8406,8071,7692,7292,6865,6414,5945,5454,4949,4431,3902,3364,2823,2269,1715,1162,600,39,-526,
-1078,-1628,-2174,-2709,-3226,-3739,-4232,-4714,-5184,-5634,-6066,-6487,-6892,-7272,-7640,-7980,-8306,-8596,-8862,-9104,
-9311,-9483,-9626,-9730,-9794,-9823,-9806,-9754,-9662,-9524,-9344,-9125,-8866,-8565,-8224,-7849,-7442,-7004,-6542,-6061,
-5564,-5058,-4549,-4045,-3551,-3072,-2609,-2174,-1762,-1386,-1030,-716,-432,-183,37,217,380,510,625,718,
793,863,928,987,1051,1120,1204,1306,1421,1564,1729,1923,2150,2399,2683,2997,3337,3703,4092,4502,
4925,5358,5800,6239,6674,7106,7518,7909,8272,8604,8897,9157,9365,9529,9646,9710,9725,9692,9608,9482,
9307,9093,8835,8550,8221,7867,7479,7064,6626,6162,5682,5187,4670,4143,3605,3051,2502,1943,1385,825,
264,-291,-842,-1392,-1932,-2463,-2985,-3502,-4001,-4491,-4968,-5436,-5878,-6309,-6722,-7112,-7482,-7827,-8151,-8453,
-8721,-8966,-9185,-9369,-9521,-9642,-9724,-9775,-9780,-9743,-9667,-9548,-9381,-9176,-8922,-8634,-8303,-7938,-7540,-7111,
-6656,-6185,-5696,-5200,-4695,-4191,-3696,-3211,-2741,-2291,-1870,-1473,-1112,-776,-483,-217,13,211,379,518,
633,735,818,889,952,1015,1079,1151,1225,1324,1438,1571,1725,1912,2122,2364,2631,2931,3261,3614,
3996,4398,4819,5253,5692,6133,6582,7013,7425,7826,8196,8537,8840,9106,9329,9505,9636,9722,9757,9746,
9684,9571,9422,9223,8983,8704,8387,8037,7656,7243,6812,6356,5884,5390,4887,4364,3836,3289,2747,2191,
1632,1068,508,-58,-615,-1174,-1722,-2262,-2787,-3308,-3813,-4306,-4783,-5246,-5698,-6133,-6551,-6952,-7330,-7693,
-8027,-8340,-8629,-8889,-9118,-9313,-9480,-9608,-9702,-9754,-9775,-9755,-9693,-9589,-9445,-9258,-9027,-8759,-8448,-8101,
-7713,-7297,-6860,-6386,-5899,-5402,-4897,-4394,-3890,-3405,-2931,-2474,-2044,-1642,-1270,-926,-615,-338,-96,120,
299,451,581,687,780,856,926,986,1049,1115,1195,1279,1388,1509,1661,1834,2044,2264,2530,2819,
3138,3490,3861,4253,4666,5091,5530,5969,6409,6845,7267,7668,8056,8409,8732,9013,9253,9449,9599,9695,
9748,9747,9703,9602,9459,9279,9057,8793,8497,8164,7799,7404,6978,6533,6068,5578,5073,4557,4022,3485,
2928,2376,1818,1257,700,141,-414,-965,-1518,-2057,-2592,-3117,-3628,-4129,-4620,-5093,-5554,-5992,-6415,-6822,
-7206,-7567,-7911,-8230,-8525,-8794,-9031,-9243,-9422,-9569,-9680,-9757,-9790,-9792,-9746,-9657,-9526,-9346,-9127,-8872,
-8574,-8242,-7869,-7466,-7034,-6581,-6103,-5613,-5112,-4613,-4108,-3612,-3131,-2665,-2223,-1805,-1418,-1063,-743,-455,
-197,25,214,379,519,631,726,812,880,949,1014,1083,1158,1243,1341,1466,1605,1767,1959,2181,
2426,2711,3012,3354,3716,4104,4510,4935,5370,5814,6253,6692,7120,7530,7920,8283,8614,8907,9163,9373,
9544,9665,9735,9757,9732,9657,9535,9366,9157,8904,8614,8290,7933,7545,7127,6692,6235,5755,5262,4754,
4232,3697,3154,2598,2041,1482,918,351,-211,-767,-1318,-1869,-2401,-2928,-3439,-3944,-4431,-4905,-5367,-5817,
-6250,-6665,-7063,-7441,-7795,-8126,-8430,-8714,-8964,-9182,-9374,-9529,-9647,-9734,-9784,-9795,-9767,-9695,-9586,-9433,
-9235,-8997,-8717,-8396,-8042,-7648,-7223,-6780,-6301,-5813,-5322,-4818,-4319,-3824,-3337,-2872,-2422,-1998,-1600,-1236,
-901,-598,-326,-93,115,289,442,562,666,753,829,893,956,1028,1095,1177,1277,1384,1518,1672,
1857,2071,2310,2578,2878,3203,3556,3932,4329,4743,5176,5611,6051,6491,6922,7343,7741,8118,8466,8775,
9047,9272,9452,9590,9674,9709,9697,9639,9535,9385,9190,8959,8686,8381,8037,7663,7260,6832,6381,5907,
5414,4902,4385,3853,3313,2766,2210,1660,1103,544,-15,-573,-1128,-1673,-2219,-2748,-3268,-3782,-4280,-4762,
-5228,-5678,-6118,-6534,-6934,-7314,-7675,-8009,-8320,-8610,-8874,-9108,-9313,-9486,-9622,-9724,-9784,-9805,-9792,-9732,
-9635,-9492,-9310,-9078,-8815,-8507,-8167,-7789,-7383,-6946,-6486,-6003,-5512,-5010,-4504,-4007,-3513,-3035,-2578,-2143,
-1731,-1353,-1008,-694,-415,-166,49,232,393,524,635,727,807,880,947,1010,1081,1159,1249,1350,
1475,1625,1795,1995,2222,2480,2767,3087,3426,3795,4189,4599,5027,5462,5902,6342,6773,7195,7598,7978,
8334,8656,8943,9186,9387,9543,9652,9710,9719,9682,9596,9456,9277,9057,8798,8497,8162,7803,7411,6998,
6551,6088,5612,5113,4597,4075,3536,2992,2434,1872,1313,751,188,-370,-922,-1470,-2008,-2545,-3061,-3573,
-4073,-4559,-5030,-5494,-5937,-6366,-6777,-7168,-7538,-7882,-8208,-8505,-8772,-9014,-9226,-9402,-9553,-9666,-9741,-9781,
-9781,-9744,-9668,-9538,-9377,-9164,-8913,-8622,-8289,-7920,-7522,-7092,-6637,-6164,-5675,-5176,-4678,-4178,-3689,-3205,
-2740,-2299,-1881,-1488,-1129,-799,-508,-247,-20,179,348,492,612,710,789,865,931,996,1064,1140,
1220,1323,1438,1575,1746,1931,2150,2398,2672,2975,3304,3661,4043,4448,4866,5297,5733,6177,6617,7040,
7457,7850,8215,8548,8846,9103,9317,9486,9606,9679,9702,9681,9616,9498,9339,9131,8892,8610,8291,7937,
7555,7145,6704,6245,5764,5273,4761,4237,3707,3166,2620,2066,1507,948,387,-174,-731,-1285,-1832,-2369,
-2906,-3422,-3928,-4422,-4896,-5358,-5803,-6237,-6649,-7044,-7420,-7775,-8107,-8416,-8699,-8954,-9181,-9376,-9535,-9665,
-9753,-9801,-9817,-9788,-9717,-9607,-9454,-9263,-9026,-8748,-8434,-8080,-7698,-7286,-6839,-6374,-5892,-5391,-4889,-4385,
-3884,-3401,-2925,-2472,-2046,-1646,-1278,-942,-633,-361,-120,89,268,418,553,660,755,830,904,970,
1036,1108,1191,1280,1392,1522,1677,1857,2062,2300,2568,2862,3187,3534,3909,4306,4719,5146,5581,6020,
6457,6883,7300,7702,8073,8419,8733,9011,9244,9437,9574,9670,9712,9706,9651,9550,9401,9215,8967,8705,
8399,8060,7692,7297,6873,6427,5956,5469,4963,4448,3914,3374,2822,2267,1705,1144,584,23,-533,-1081,
-1634,-2170,-2703,-3224,-3733,-4229,-4715,-5187,-5643,-6085,-6508,-6915,-7297,-7659,-8002,-8314,-8601,-8861,-9098,-9303,
-9477,-9614,-9720,-9790,-9817,-9809,-9759,-9671,-9533,-9354,-9132,-8868,-8563,-8221,-7843,-7437,-7004,-6545,-6069,-5578,
-5083,-4580,-4079,-3592,-3114,-2652,-2216,-1802,-1422,-1064,-743,-458,-205,16,208,364,505,621,715,802,
875,946,1012,1083,1163,1257,1359,1486,1630,1801,2000,2227,2480,2765,3076,3418,3782,4169,4578,5001,
5433,5874,6317,6752,7177,7582,7969,8325,8648,8937,9185,9388,9547,9657,9723,9734,9706,9623,9499,9326,
9115,8856,8562,8233,7871,7479,7064,6619,6158,5674,5176,4667,4143,3608,3071,2517,1963,1401,842,278,
-286,-843,-1394,-1941,-2477,-3004,-3519,-4017,-4507,-4979,-5437,-5882,-6309,-6721,-7115,-7483,-7840,-8165,-8470,-8746,
-8993,-9213,-9397,-9549,-9666,-9743,-9786,-9788,-9754,-9674,-9560,-9399,-9194,-8952,-8669,-8347,-7987,-7597,-7173,-6723,
-6250,-5762,-5268,-4767,-4268,-3770,-3291,-2825,-2381,-1959,-1570,-1206,-877,-577,-311,-82,125,301,445,575,
680,769,846,914,984,1054,1126,1218,1314,1433,1571,1729,1919,2140,2383,2659,2965,3293,3649,4030,
4428,4846,5273,5708,6148,6584,7011,7424,7817,8186,8525,8827,9096,9317,9499,9623,9698,9732,9711,9645,
9533,9375,9178,8935,8658,8349,8004,7629,7224,6796,6342,5866,5372,4864,4343,3808,3267,2719,2161,1607,
1044,486,-67,-625,-1179,-1716,-2258,-2785,-3309,-3816,-4310,-4792,-5260,-5715,-6149,-6564,-6966,-7345,-7696,-8030,
-8340,-8621,-8879,-9106,-9302,-9475,-9603,-9699,-9763,-9785,-9762,-9701,-9599,-9453,-9259,-9025,-8758,-8448,-8100,-7718,
-7305,-6870,-6412,-5930,-5442,-4944,-4440,-3946,-3457,-2991,-2532,-2102,-1696,-1325,-979,-668,-385,-146,67,253,
407,540,656,749,831,903,976,1045,1117,1201,1294,1407,1539,1694,1868,2075,2304,2564,2851,3175,
3519,3895,4284,4697,5122,5552,5994,6433,6862,7283,7680,8052,8401,8712,8988,9223,9415,9563,9660,9710,
9716,9669,9576,9439,9253,9029,8763,8457,8124,7754,7356,6932,6489,6025,5541,5043,4526,4001,3463,2923,
2368,1810,1249,685,122,-434,-993,-1541,-2079,-2612,-3132,-3640,-4138,-4618,-5091,-5544,-5983,-6405,-6815,-7200,
-7570,-7916,-8237,-8533,-8799,-9036,-9246,-9418,-9564,-9668,-9742,-9767,-9761,-9716,-9631,-9503,-9333,-9118,-8867,-8570,
-8236,-7867,-7465,-7031,-6581,-6105,-5615,-5120,-4620,-4120,-3632,-3154,-2700,-2260,-1846,-1462,-1105,-784,-494,-234,
-11,185,357,500,620,719,806,882,954,1017,1092,1172,1259,1361,1485,1635,1799,1995,2222,2473,
2750,3063,3398,3759,4141,4538,4957,5388,5819,6256,6692,7115,7523,7907,8266,8594,8887,9141,9351,9510,
9628,9686,9704,9671,9594,9471,9304,9097,8851,8563,8240,7891,7502,7093,6655,6194,5714,5214,4700,4178,
3642,3095,2546,1996,1441,879,318,-237,-789,-1343,-1884,-2421,-2957,-3468,-3972,-4461,-4941,-5404,-5853,-6278,
-6689,-7079,-7455,-7801,-8127,-8432,-8711,-8958,-9179,-9368,-9530,-9657,-9739,-9790,-9797,-9763,-9685,-9571,-9412,-9218,
-8970,-8690,-8373,-8016,-7627,-7211,-6769,-6303,-5820,-5324,-4828,-4325,-3830,-3347,-2877,-2431,-2004,-1608,-1240,-910,
-601,-335,-96,109,286,441,570,676,773,853,927,997,1065,1145,1233,1326,1443,1583,1740,1924,
2132,2377,2643,2942,3271,3625,4001,4396,4808,5239,5671,6105,6541,6966,7376,7771,8132,8473,8778,9045,
9267,9454,9586,9673,9711,9699,9640,9534,9382,9187,8950,8673,8359,8016,7639,7239,6808,6365,5894,5410,
4899,4379,3855,3311,2758,2207,1647,1082,522,-46,-601,-1152,-1701,-2241,-2766,-3285,-3788,-4298,-4772,-5237,
-5694,-6133,-6553,-6958,-7339,-7702,-8043,-8353,-8642,-8898,-9128,-9325,-9495,-9633,-9729,-9788,-9816,-9801,-9742,-9649,
-9507,-9327,-9106,-8834,-8528,-8185,-7807,-7394,-6955,-6501,-6023,-5525,-5033,-4534,-4035,-3550,-3080,-2625,-2196,-1784,
-1409,-1060,-745,-461,-208,10,199,361,497,616,710,795,875,943,1011,1088,1174,1268,1376,1509,
1662,1836,2040,2269,2532,2819,3133,3474,3845,4229,4636,5053,5488,5926,6361,6794,7212,7612,7993,8341,
8661,8943,9182,9375,9529,9628,9681,9686,9643,9558,9428,9251,9031,8774,8480,8146,7786,7393,6971,6527,
6062,5578,5075,4558,4033,3499,2952,2400,1845,1290,734,170,-389,-943,-1495,-2040,-2574,-3097,-3614,-4116,
-4606,-5078,-5534,-5978,-6397,-6805,-7192,-7558,-7909,-8230,-8527,-8801,-9049,-9260,-9443,-9589,-9704,-9778,-9811,-9812,
-9769,-9681,-9561,-9390,-9183,-8929,-8637,-8314,-7952,-7555,-7131,-6681,-6213,-5730,-5232,-4728,-4231,-3739,-3256,-2793,
-2352,-1941,-1546,-1190,-864,-566,-307,-73,124,296,444,568,677,769,852,924,996,1067,1146,1238,
1343,1464,1610,1775,1973,2188,2438,2719,3026,3358,3720,4103,4507,4921,5350,5783,6219,6650,7074,7480,
7865,8226,8556,8857,9112,9330,9501,9622,9698,9722,9694,9625,9508,9342,9137,8894,8608,8297,7938,7563,
7156,6728,6273,5798,5306,4799,4273,3739,3196,2644,2088,1527,966,405,-155,-712,-1261,-1802,-2336,-2864,
-3375,-3882,-4374,-4859,-5321,-5775,-6209,-6626,-7019,-7395,-7751,-8085,-8384,-8664,-8913,-9136,-9329,-9490,-9614,-9707,
-9762,-9777,-9754,-9689,-9579,-9427,-9238,-9002,-8724,-8405,-8058,-7675,-7259,-6817,-6352,-5876,-5387,-4888,-4395,-3901,
-3421,-2953,-2505,-2075,-1681,-1304,-969,-662,-383,-143,72,256,409,542,655,750,831,909,980,1057,
1127,1218,1320,1435,1570,1732,1918,2130,2366,2631,2929,3248,3598,3970,4371,4778,5206,5643,6080,6513,
6936,7356,7749,8121,8460,8765,9039,9264,9448,9588,9676,9718,9720,9667,9568,9423,9236,9013,8744,8437,
8097,7725,7324,6901,6450,5980,5494,4992,4473,3946,3408,2865,2315,1756,1202,639,79,-483,-1040,-1587,
-2130,-2662,-3180,-3691,-4187,-4669,-5137,-5583,-6024,-6442,-6844,-7223,-7593,-7931,-8252,-8542,-8808,-9042,-9247,-9422,
-9558,-9664,-9729,-9752,-9743,-9691,-9598,-9460,-9288,-9070,-8816,-8514,-8180,-7810,-7408,-6977,-6519,-6044,-5558,-5063,
-4564,-4068,-3581,-3102,-2651,-2216,-1808,-1431,-1075,-756,-472,-217,7,201,369,507,629,734,823,904,
977,1051,1126,1205,1302,1412,1538,1691,1867,2066,2298,2550,2837,3152,3490,3852,4244,4648,5065,5494,
5923,6357,6789,7205,7609,7990,8341,8661,8946,9194,9391,9546,9657,9713,9726,9686,9599,9472,9294,9079,
8827,8540,8210,7853,7466,7052,6615,6153,5675,5175,4664,4139,3597,3049,2502,1939,1382,825,260,-291,
-848,-1393,-1934,-2468,-2993,-3507,-4011,-4501,-4978,-5439,-5883,-6313,-6725,-7112,-7482,-7827,-8150,-8449,-8719,-8966,
-9180,-9365,-9517,-9639,-9720,-9768,-9769,-9737,-9658,-9541,-9377,-9174,-8927,-8646,-8323,-7963,-7571,-7148,-6704,-6241,
-5764,-5272,-4779,-4277,-3787,-3310,-2841,-2401,-1975,-1587,-1224,-888,-591,-324,-86,117,294,445,572,682,
776,860,938,1013,1083,1168,1258,1365,1489,1630,1792,1992,2203,2451,2722,3022,3354,3710,4086,4484,
4901,5327,5757,6187,6619,7045,7449,7839,8195,8526,8822,9077,9294,9464,9587,9667,9692,9676,9612,9499,
9344,9142,8897,8621,8304,7955,7572,7167,6733,6279,5807,5317,4814,4295,3764,3221,2677,2119,1562,1000,
438,-122,-683,-1239,-1785,-2318,-2853,-3368,-3871,-4361,-4840,-5303,-5751,-6187,-6607,-7007,-7385,-7741,-8079,-8391,
-8675,-8928,-9159,-9354,-9513,-9640,-9735,-9788,-9807,-9786,-9726,-9621,-9480,-9290,-9066,-8802,-8496,-8143,-7774,-7368,
-6922,-6464,-5986,-5494,-4998,-4500,-4005,-3519,-3051,-2597,-2173,-1772,-1398,-1054,-739,-461,-211,9,198,360,
499,612,715,804,881,957,1033,1111,1196,1296,1417,1549,1707,1890,2100,2336,2603,2895,3215,3562,
3931,4318,4727,5146,5578,6007,6439,6864,7278,7674,8049,8392,8702,8973,9206,9394,9533,9627,9671,9670,
9620,9519,9379,9196,8973,8707,8410,8075,7712,7314,6894,6450,5981,5492,4990,4472,3944,3403,2855,2303,
1748,1189,631,72,-485,-1038,-1590,-2132,-2666,-3190,-3702,-4200,-4690,-5160,-5617,-6057,-6481,-6882,-7269,-7628,
-7970,-8288,-8581,-8846,-9086,-9295,-9471,-9613,-9722,-9794,-9828,-9826,-9775,-9686,-9557,-9378,-9165,-8908,-8615,-8285,
-7918,-7523,-7097,-6645,-6180,-5694,-5196,-4700,-4204,-3716,-3238,-2777,-2339,-1926,-1538,-1182,-860,-567,-305,-80,
124,296,440,561,671,770,852,925,1007,1081,1166,1263,1373,1505,1652,1824,2021,2249,2503,2784,
3094,3434,3795,4178,4586,5005,5431,5864,6297,6727,7144,7543,7925,8280,8602,8888,9133,9341,9507,9617,
9684,9704,9673,9594,9469,9300,9092,8839,8551,8230,7874,7490,7076,6641,6183,5706,5215,4706,4186,3646,
3104,2551,1997,1436,871,307,-252,-808,-1362,-1907,-2441,-2966,-3481,-3983,-4472,-4948,-5407,-5861,-6290,-6702,
-7100,-7475,-7825,-8154,-8456,-8734,-8980,-9196,-9385,-9538,-9655,-9744,-9790,-9801,-9769,-9701,-9586,-9436,-9236,-8998,
-8719,-8404,-8050,-7659,-7242,-6803,-6338,-5857,-5367,-4871,-4379,-3889,-3410,-2950,-2501,-2080,-1684,-1320,-984,-683,
-404,-164,45,227,384,517,629,723,816,887,962,1040,1122,1216,1317,1437,1579,1746,1934,2153,
2395,2669,2965,3292,3645,4019,4415,4825,5251,5679,6112,6539,6965,7378,7766,8140,8475,8776,9038,9257,
9435,9563,9643,9675,9665,9609,9503,9351,9157,8931,8654,8347,8006,7636,7233,6807,6352,5890,5397,4891,
4374,3844,3305,2757,2205,1650,1093,532,4,-152,-684,-1129,-1436,-1564,-1528,-1358,-1203,-951,-485,186,
873,1542,2129,2649,3160,3713,4235,4711,5170,5687,6295,6998,7739,8455,9116,9697,10158,10471,10604,10569,
10392,10112,9751,9332,8862,8360,7831,7276,6706,6119,5502,4851,4166,3468,2769,2079,1398,757,157,-393,
-905,-1377,-1812,-2220,-2642,-3093,-3589,-4109,-4624,-5120,-5611,-6126,-6642,-7135,-7568,-7943,-8277,-8585,-8904,-9220,
-9516,-9781,-10037,-10291,-10552,-10826,-11090,-11296,-11414,-11447,-11415,-11287,-11039,-10648,-10099,-9430,-8674,-7850,-6941,-5945,
-4878,-3762,-2634,-1517,-436,599,1561,2421,3144,3713,4117,4355,4426,4367,4196,3944,3621,3258,2845,2381,
1892,1415,947,486,33,-420,-864,-1260,-1592,-1861,-2052,-2155,-2167,-2090,-1907,-1637,-1292,-872,-377,189,
816,1500,2234,3022,3853,4720,5576,6375,7084,7700,8241,8687,9019,9229,9311,9289,9215,9104,8941,8702,
8398,8041,7639,7218,6773,6274,5715,5126,4531,3951,3401,2882,2365,1853,1368,928,518,116,-300,-747,
-1216,-1677,-2128,-2580,-3041,-3502,-3962,-4398,-4781,-5124,-5465,-5814,-6171,-6516,-6833,-7117,-7397,-7700,-8020,-8327,
-8598,-8818,-8985,-9107,-9187,-9197,-9103,-8908,-8613,-8228,-7768,-7230,-6595,-5855,-5030,-4138,-3196,-2207,-1186,-142,
887,1864,2761,3560,4247,4805,5221,5496,5654,5707,5654,5499,5245,4898,4482,4023,3524,2974,2370,1730,
1069,417,-206,-811,-1405,-1979,-2516,-3003,-3437,-3822,-4174,-4489,-4748,-4929,-5014,-5000,-4876,-4630,-4244,-3695,
-2979,-2114,-1120,-12,1183,2436,3709,4983,6228,7438,8577,9618,10531,11273,11827,12222,12457,12548,12499,12318,
12005,11616,11183,10719,10231,9709,9153,8573,7992,7422,6845,6241,5615,4979,4340,3724,3125,2530,1931,1358,
812,292,-195,-667,-1146,-1633,-2109,-2576,-3036,-3498,-3973,-4465,-4956,-5415,-5845,-6262,-6682,-7103,-7525,-7930,
-8309,-8668,-9022,-9381,-9731,-10060,-10355,-10593,-10797,-10977,-11123,-11210,-11229,-11163,-11018,-10812,-10546,-10186,-9709,-9101,
-8371,-7524,-6585,-5547,-4426,-3239,-2022,-828,313,1375,2327,3156,3831,4352,4723,4952,5048,5010,4844,4575,
4232,3830,3379,2885,2350,1787,1223,677,154,-355,-834,-1275,-1662,-1985,-2238,-2430,-2559,-2619,-2595,-2484,
-2277,-1983,-1598,-1121,-542,130,883,1694,2542,3422,4313,5183,6006,6767,7447,8036,8544,8950,9237,9406,
9480,9474,9401,9260,9041,8738,8372,7981,7572,7140,6683,6190,5668,5145,4642,4154,3658,3151,2635,2114,
1613,1137,663,171,-333,-838,-1333,-1805,-2252,-2700,-3157,-3604,-4033,-4440,-4825,-5210,-5611,-6022,-6417,-6790,
-7144,-7479,-7805,-8130,-8432,-8680,-8876,-9034,-9162,-9253,-9297,-9270,-9151,-8950,-8680,-8340,-7915,-7394,-6759,-6022,
-5201,-4309,-3358,-2361,-1337,-317,668,1582,2410,3131,3735,4205,4551,4776,4899,4916,4828,4640,4362,4005,
3595,3140,2640,2094,1512,927,355,-203,-746,-1279,-1797,-2289,-2742,-3143,-3499,-3812,-4074,-4272,-4381,-4375,
-4264,-4033,-3673,-3162,-2507,-1703,-777,260,1386,2578,3800,5029,6225,7362,8434,9421,10293,11015,11566,11943,
12172,12279,12271,12142,11886,11536,11122,10675,10207,9709,9171,8606,8030,7457,6893,6334,5756,5151,4536,3943,
3376,2820,2270,1712,1147,605,95,-396,-880,-1373,-1871,-2364,-2833,-3283,-3730,-4195,-4671,-5143,-5606,-6038,
-6451,-6875,-7302,-7729,-8134,-8512,-8862,-9203,-9550,-9899,-10217,-10490,-10715,-10900,-11050,-11170,-11225,-11184,-11036,-10793,
-10456,-10020,-9478,-8796,-7967,-7019,-5975,-4858,-3683,-2462,-1232,-26,1107,2145,3062,3844,4475,4944,5254,5421,
5462,5381,5181,4881,4493,4044,3558,3044,2493,1916,1329,752,198,-322,-818,-1294,-1741,-2134,-2469,-2736,
-2944,-3091,-3179,-3191,-3110,-2929,-2651,-2273,-1799,-1221,-539,229,1071,1965,2896,3846,4791,5695,6538,7305,
7999,8612,9121,9508,9762,9893,9933,9895,9767,9548,9241,8859,8437,7990,7537,7048,6525,5981,5438,4912,
4410,3911,3399,2875,2346,1830,1334,844,347,-167,-681,-1172,-1637,-2081,-2519,-2963,-3413,-3849,-4255,-4644,
-5036,-5437,-5845,-6249,-6623,-6971,-7304,-7631,-7954,-8256,-8519,-8728,-8896,-9036,-9157,-9241,-9267,-9225,-9105,-8916,
-8670,-8350,-7933,-7400,-6765,-6039,-5239,-4386,-3481,-2540,-1590,-665,219,1032,1761,2397,2921,3327,3617,3798,
3874,3841,3705,3472,3164,2798,2383,1927,1430,899,358,-171,-679,-1171,-1655,-2120,-2557,-2951,-3289,-3569,
-3793,-3964,-4053,-4051,-3947,-3727,-3393,-2936,-2344,-1624,-783,161,1182,2269,3408,4565,5708,6807,7834,8772,
9613,10344,10923,11335,11592,11713,11731,11653,11488,11224,10882,10487,10071,9638,9182,8694,8166,7615,7065,6523,
5977,5418,4843,4256,3676,3123,2593,2065,1531,1001,479,-18,-495,-963,-1443,-1936,-2417,-2889,-3342,-3781,
-4228,-4692,-5151,-5595,-6013,-6414,-6810,-7214,-7619,-8008,-8362,-8688,-9005,-9314,-9616,-9894,-10118,-10287,-10405,-10484,
-10511,-10472,-10341,-10097,-9739,-9284,-8723,-8046,-7237,-6302,-5256,-4132,-2953,-1747,-531,659,1780,2813,3718,4486,
5107,5565,5868,6020,6035,5939,5740,5435,5038,4572,4056,3516,2953,2368,1763,1147,542,-32,-580,-1096,
-1586,-2049,-2470,-2829,-3121,-3352,-3521,-3620,-3640,-3567,-3389,-3104,-2716,-2226,-1625,-922,-122,748,1673,2642,
3629,4608,5553,6439,7240,7960,8589,9112,9505,9765,9899,9922,9860,9712,9475,9144,8743,8300,7837,7357,
6862,6336,5786,5237,4707,4183,3666,3137,2593,2045,1511,996,491,-16,-532,-1048,-1546,-2010,-2451,-2886,
-3318,-3752,-4174,-4577,-4958,-5337,-5729,-6131,-6525,-6899,-7250,-7578,-7902,-8219,-8520,-8783,-9003,-9183,-9335,-9469,
-9576,-9631,-9620,-9547,-9409,-9213,-8947,-8590,-8120,-7535,-6853,-6092,-5260,-4366,-3425,-2457,-1491,-556,325,1134,
1860,2485,2997,3395,3680,3852,3915,3866,3715,3477,3173,2815,2409,1956,1473,970,468,-20,-490,-949,
-1391,-1805,-2172,-2484,-2732,-2919,-3038,-3080,-3029,-2873,-2613,-2242,-1753,-1137,-403,439,1365,2356,3400,4479,
5567,6635,7639,8563,9392,10117,10722,11189,11498,11655,11688,11628,11485,11258,10952,10576,10154,9708,9252,8777,
8259,7714,7136,6558,5986,5418,4838,4246,3650,3066,2509,1976,1458,937,411,-101,-594,-1066,-1536,-2007,
-2495,-2980,-3443,-3886,-4318,-4748,-5187,-5623,-6040,-6433,-6801,-7168,-7535,-7909,-8265,-8596,-8900,-9185,-9463,-9729,
-9959,-10139,-10256,-10313,-10314,-10263,-10132,-9899,-9556,-9101,-8536,-7871,-7097,-6202,-5196,-4103,-2952,-1773,-594,561,
1663,2671,3562,4318,4929,5394,5709,5868,5890,5800,5609,5328,4963,4520,4015,3470,2904,2326,1734,1125,
514,-85,-654,-1180,-1676,-2141,-2572,-2959,-3288,-3543,-3736,-3864,-3923,-3897,-3771,-3537,-3193,-2738,-2171,-1495,
-713,161,1110,2107,3136,4178,5207,6187,7097,7924,8654,9287,9804,10188,10427,10533,10530,10432,10249,9981,
9630,9211,8752,8280,7792,7288,6765,6212,5654,5102,4563,4023,3468,2893,2314,1744,1192,659,125,-416,
-949,-1466,-1958,-2425,-2878,-3340,-3807,-4266,-4711,-5144,-5568,-6005,-6451,-6891,-7312,-7701,-8067,-8422,-8765,-9092,
-9386,-9637,-9850,-10035,-10206,-10354,-10457,-10497,-10466,-10369,-10213,-9980,-9649,-9209,-8646,-7978,-7224,-6396,-5506,-4559,
-3580,-2594,-1631,-712,146,926,1609,2184,2639,2980,3198,3305,3298,3178,2970,2691,2356,1973,1547,1084,
605,124,-347,-800,-1240,-1666,-2067,-2424,-2723,-2961,-3135,-3240,-3264,-3198,-3027,-2749,-2367,-1888,-1291,-584,
222,1114,2069,3074,4113,5163,6190,7165,8062,8864,9569,10162,10620,10934,11111,11170,11141,11038,10866,10614,
10293,9925,9527,9110,8671,8197,7685,7145,6602,6066,5534,5000,4453,3901,3361,2847,2354,1870,1383,886,
393,-86,-551,-1012,-1478,-1954,-2428,-2888,-3321,-3739,-4152,-4568,-4984,-5380,-5755,-6114,-6464,-6821,-7185,-7533,
-7861,-8156,-8427,-8684,-8923,-9124,-9265,-9338,-9345,-9293,-9180,-8993,-8709,-8312,-7800,-7184,-6467,-5653,-4731,-3712,
-2620,-1483,-339,784,1861,2857,3750,4513,5136,5617,5960,6157,6218,6152,5977,5716,5374,4957,4468,3927,
3345,2747,2141,1535,915,297,-296,-856,-1374,-1855,-2300,-2709,-3074,-3379,-3615,-3776,-3870,-3882,-3809,-3620,
-3316,-2894,-2355,-1700,-936,-69,882,1897,2946,4015,5084,6126,7110,8005,8790,9471,10038,10474,10771,10918,
10932,10834,10650,10394,10067,9668,9217,8737,8238,7741,7230,6695,6138,5566,4999,4440,3884,3316,2732,2146,
1577,1027,503,-14,-530,-1045,-1543,-2020,-2472,-2920,-3372,-3832,-4294,-4742,-5172,-5599,-6024,-6454,-6877,-7275,
-7643,-7984,-8312,-8636,-8947,-9234,-9486,-9703,-9895,-10074,-10229,-10340,-10389,-10362,-10263,-10096,-9851,-9512,-9056,-8484,
-7806,-7037,-6201,-5296,-4336,-3335,-2323,-1329,-375,513,1327,2038,2635,3104,3444,3659,3752,3729,3594,3366,
3064,2711,2308,1860,1378,871,360,-146,-635,-1114,-1576,-2014,-2410,-2749,-3018,-3224,-3361,-3416,-3382,-3249,
-3009,-2666,-2221,-1675,-1025,-277,556,1454,2406,3390,4390,5368,6298,7147,7911,8576,9137,9580,9891,10073,
10144,10128,10042,9883,9648,9334,8967,8561,8133,7678,7190,6666,6118,5564,5027,4501,3978,3450,2919,2398,
1894,1413,934,449,-49,-548,-1035,-1508,-1967,-2427,-2887,-3340,-3774,-4182,-4569,-4950,-5333,-5721,-6099,-6457,
-6799,-7142,-7486,-7832,-8170,-8474,-8740,-8973,-9186,-9366,-9510,-9596,-9609,-9560,-9453,-9286,-9049,-8719,-8280,-7726,
-7069,-6313,-5460,-4509,-3472,-2375,-1251,-131,952,1977,2912,3739,4443,5009,5445,5750,5923,5967,5893,5715,
5450,5110,4698,4218,3686,3120,2541,1959,1381,802,230,-326,-846,-1325,-1765,-2177,-2549,-2878,-3147,-3339,
-3454,-3490,-3438,-3283,-3018,-2623,-2111,-1483,-747,93,1029,2038,3093,4170,5253,6316,7338,8283,9123,9839,
10427,10888,11219,11406,11449,11366,11182,10928,10613,10251,9827,9357,8859,8352,7839,7315,6768,6194,5602,5015,
4438,3867,3291,2712,2133,1574,1043,533,34,-463,-965,-1457,-1937,-2399,-2854,-3319,-3792,-4266,-4725,-5165,
-5588,-6009,-6429,-6843,-7230,-7590,-7925,-8251,-8573,-8893,-9192,-9458,-9692,-9897,-10081,-10231,-10337,-10371,-10323,-10194,
-9994,-9714,-9336,-8852,-8251,-7547,-6752,-5885,-4949,-3957,-2920,-1871,-840,145,1065,1890,2611,3205,3667,3993,
4193,4274,4236,4099,3866,3560,3205,2800,2353,1866,1355,836,324,-176,-655,-1118,-1553,-1941,-2269,-2526,
-2721,-2844,-2898,-2863,-2735,-2507,-2182,-1755,-1227,-597,135,949,1830,2766,3734,4715,5680,6598,7442,8205,
8880,9456,9923,10264,10484,10588,10601,10538,10396,10167,9859,9483,9066,8619,8149,7650,7120,6574,6026,5486,
4965,4449,3925,3389,2862,2342,1839,1335,824,303,-223,-732,-1222,-1694,-2161,-2624,-3081,-3518,-3930,-4327,
-4719,-5120,-5524,-5928,-6320,-6693,-7060,-7427,-7791,-8135,-8448,-8722,-8954,-9159,-9339,-9481,-9572,-9600,-9569,-9476,
-9331,-9117,-8810,-8394,-7864,-7224,-6489,-5658,-4739,-3744,-2698,-1634,-584,428,1377,2242,3001,3646,4166,4560,
4828,4971,4988,4891,4692,4406,4050,3624,3140,2610,2051,1483,922,361,-189,-738,-1263,-1760,-2216,-2634,
-3016,-3363,-3655,-3878,-4020,-4075,-4030,-3895,-3648,-3284,-2798,-2201,-1493,-674,242,1239,2294,3376,4467,5545,
6583,7562,8448,9206,9830,10315,10667,10892,10986,10952,10810,10580,10295,9967,9589,9168,8700,8201,7691,7172,
6638,6080,5500,4913,4324,3755,3201,2652,2100,1555,1027,523,37,-439,-924,-1412,-1901,-2376,-2837,-3289,
-3745,-4207,-4664,-5102,-5517,-5915,-6311,-6701,-7087,-7459,-7810,-8139,-8462,-8785,-9105,-9402,-9667,-9890,-10076,-10229,
-10346,-10407,-10399,-10303,-10128,-9877,-9549,-9126,-8596,-7954,-7202,-6360,-5441,-4450,-3409,-2336,-1253,-203,786,1691,
2491,3171,3712,4120,4393,4542,4576,4499,4318,4048,3711,3315,2873,2393,1872,1327,777,240,-275,-772,
-1243,-1679,-2072,-2404,-2675,-2879,-3021,-3092,-3086,-2986,-2788,-2489,-2092,-1586,-977,-267,530,1398,2319,3275,
4246,5208,6127,6986,7771,8473,9086,9594,9982,10243,10386,10428,10384,10249,10029,9725,9353,8940,8501,8044,
7559,7057,6534,6007,5492,4985,4478,3960,3428,2891,2361,1843,1329,809,286,-232,-738,-1216,-1677,-2124,
-2573,-3016,-3448,-3860,-4260,-4659,-5065,-5484,-5897,-6295,-6675,-7035,-7389,-7734,-8059,-8349,-8596,-8811,-8997,-9158,
-9297,-9388,-9421,-9392,-9306,-9160,-8942,-8629,-8203,-7661,-7014,-6270,-5438,-4530,-3555,-2537,-1505,-492,483,1400,
2238,2976,3602,4106,4491,4748,4884,4896,4794,4589,4301,3950,3538,3070,2562,2028,1487,949,417,-112,
-637,-1145,-1626,-2069,-2467,-2828,-3142,-3397,-3573,-3663,-3659,-3558,-3354,-3046,-2631,-2101,-1452,-695,164,1111,
2126,3188,4264,5332,6367,7350,8256,9053,9718,10240,10625,10880,11026,11053,10969,10785,10529,10219,9867,9474,
9033,8547,8025,7486,6942,6389,5821,5232,4643,4065,3503,2961,2432,1899,1368,850,346,-144,-626,-1120,
-1621,-2120,-2602,-3067,-3521,-3969,-4418,-4860,-5285,-5686,-6071,-6454,-6839,-7221,-7595,-7953,-8289,-8616,-8937,-9250,
-9538,-9783,-9981,-10131,-10241,-10309,-10321,-10258,-10114,-9887,-9576,-9182,-8694,-8095,-7377,-6549,-5626,-4630,-3573,-2482,
-1376,-285,750,1703,2552,3280,3880,4339,4657,4848,4919,4874,4727,4476,4142,3741,3284,2790,2262,1702,
1124,553,-7,-534,-1037,-1511,-1954,-2354,-2700,-2986,-3211,-3373,-3469,-3486,-3408,-3228,-2944,-2554,-2058,-1450,
-740,57,929,1855,2818,3798,4778,5721,6607,7423,8164,8810,9352,9765,10047,10203,10246,10193,10053,9831,
9525,9156,8746,8315,7867,7404,6915,6407,5887,5371,4861,4344,3814,3270,2719,2179,1651,1138,627,115,
-389,-874,-1341,-1783,-2221,-2658,-3098,-3530,-3947,-4355,-4762,-5171,-5585,-5993,-6381,-6746,-7088,-7420,-7741,-8044,
-8317,-8556,-8763,-8946,-9113,-9248,-9346,-9386,-9359,-9273,-9120,-8892,-8568,-8132,-7586,-6935,-6192,-5372,-4482,-3528,
-2538,-1529,-534,421,1326,2157,2891,3520,4021,4402,4660,4793,4804,4705,4505,4227,3882,3482,3035,2544,
2027,1500,973,447,-76,-593,-1094,-1569,-2000,-2383,-2715,-2993,-3206,-3340,-3382,-3329,-3177,-2926,-2574,-2112,
-1537,-852,-54,830,1794,2817,3868,4921,5947,6924,7838,8660,9369,9943,10382,10685,10875,10961,10946,10831,
10621,10341,10010,9636,9219,8755,8248,7711,7156,6602,6044,5483,4911,4336,3774,3233,2709,2191,1670,1144,
623,112,-390,-883,-1387,-1890,-2388,-2873,-3331,-3773,-4208,-4641,-5070,-5486,-5883,-6265,-6648,-7036,-7426,-7806,
-8171,-8514,-8838,-9145,-9439,-9699,-9916,-10079,-10192,-10264,-10292,-10269,-10173,-9997,-9732,-9381,-8939,-8399,-7742,-6970,
-6085,-5108,-4069,-2986,-1877,-776,288,1288,2194,2987,3654,4193,4597,4864,5004,5027,4944,4757,4472,4104,
3673,3198,2687,2152,1597,1029,471,-71,-580,-1062,-1517,-1940,-2324,-2656,-2928,-3136,-3280,-3350,-3338,-3228,
-3010,-2683,-2254,-1713,-1070,-322,504,1402,2351,3333,4328,5319,6276,7173,7992,8720,9356,9873,10260,10510,
10629,10639,10555,10394,10152,9840,9469,9062,8633,8189,7726,7238,6725,6196,5668,5138,4604,4064,3512,2954,
2412,1888,1380,881,383,-109,-589,-1052,-1499,-1941,-2386,-2838,-3287,-3722,-4146,-4562,-4982,-5394,-5803,-6189,
-6555,-6893,-7225,-7547,-7860,-8147,-8407,-8638,-8847,-9043,-9208,-9335,-9400,-9398,-9330,-9195,-8986,-8686,-8281,-7768,
-7155,-6456,-5676,-4827,-3913,-2953,-1969,-989,-35,868,1703,2451,3090,3609,4005,4278,4426,4457,4381,4208,
3953,3636,3258,2836,2364,1865,1354,834,319,-195,-700,-1184,-1636,-2038,-2389,-2684,-2919,-3084,-3172,-3168,
-3069,-2876,-2582,-2187,-1687,-1074,-354,465,1373,2341,3358,4391,5413,6393,7315,8165,8926,9574,10097,10488,
10756,10914,10973,10939,10811,10588,10293,9945,9553,9122,8651,8139,7600,7054,6508,5969,5426,4878,4328,3781,
3251,2734,2218,1699,1169,641,120,-384,-881,-1375,-1872,-2358,-2829,-3272,-3702,-4124,-4548,-4969,-5389,-5791,
-6183,-6576,-6976,-7377,-7763,-8129,-8464,-8779,-9073,-9346,-9587,-9788,-9936,-10035,-10092,-10108,-10070,-9965,-9769,-9481,
-9099,-8620,-8034,-7335,-6517,-5600,-4603,-3552,-2480,-1398,-340,667,1596,2427,3141,3731,4189,4513,4705,4770,
4726,4575,4327,3991,3580,3111,2607,2078,1534,975,413,-143,-675,-1180,-1654,-2100,-2521,-2898,-3218,-3478,
-3669,-3790,-3830,-3780,-3630,-3369,-2996,-2518,-1931,-1243,-456,416,1352,2336,3350,4378,5394,6366,7272,8089,
8808,9413,9902,10255,10471,10561,10544,10445,10268,10024,9712,9345,8938,8509,8061,7592,7095,6573,6029,5487,
4944,4402,3862,3310,2765,2231,1721,1227,741,254,-235,-713,-1182,-1636,-2086,-2537,-2997,-3451,-3891,-4315,
-4723,-5130,-5534,-5929,-6306,-6658,-6993,-7323,-7646,-7964,-8264,-8535,-8776,-8995,-9189,-9351,-9468,-9523,-9510,-9424,
-9274,-9049,-8738,-8333,-7816,-7205,-6506,-5727,-4874,-3955,-2987,-1991,-995,-30,885,1730,2484,3126,3647,4041,
4314,4468,4502,4430,4263,4015,3700,3327,2903,2432,1931,1412,888,370,-143,-644,-1120,-1557,-1949,-2287,
-2564,-2785,-2939,-3017,-3008,-2903,-2705,-2408,-2009,-1503,-887,-168,645,1534,2482,3467,4469,5452,6393,7274,
8085,8808,9429,9931,10306,10560,10708,10754,10706,10559,10326,10015,9649,9244,8802,8330,7823,7293,6758,6226,
5699,5174,4636,4093,3553,3018,2496,1974,1445,913,382,-136,-639,-1125,-1607,-2084,-2552,-3005,-3435,-3852,
-4268,-4685,-5108,-5524,-5934,-6327,-6717,-7106,-7492,-7862,-8208,-8521,-8806,-9071,-9316,-9531,-9708,-9835,-9916,-9955,
-9949,-9888,-9749,-9520,-9189,-8757,-8219,-7578,-6827,-5969,-5021,-4010,-2959,-1899,-848,170,1124,1996,2764,3414,
3941,4336,4598,4730,4745,4644,4452,4169,3802,3372,2891,2380,1857,1315,769,219,-324,-847,-1342,-1808,
-2243,-2648,-3007,-3313,-3550,-3713,-3798,-3802,-3707,-3516,-3215,-2802,-2282,-1658,-931,-110,793,1759,2770,3804,
4843,5855,6819,7700,8484,9155,9708,10142,10443,10613,10663,10606,10473,10274,10006,9678,9293,8867,8412,7939,
7439,6918,6370,5809,5246,4693,4148,3604,3059,2517,1991,1479,985,492,0,-494,-987,-1466,-1937,-2399,
-2860,-3320,-3774,-4210,-4627,-5028,-5426,-5819,-6207,-6579,-6938,-7278,-7612,-7945,-8267,-8573,-8848,-9090,-9296,-9478,
-9621,-9719,-9750,-9712,-9606,-9429,-9186,-8855,-8430,-7901,-7268,-6543,-5737,-4853,-3906,-2908,-1888,-875,107,1029,
1871,2616,3248,3753,4135,4392,4532,4559,4479,4302,4046,3724,3343,2908,2431,1927,1401,882,366,-137,
-620,-1083,-1504,-1874,-2198,-2458,-2662,-2806,-2871,-2852,-2743,-2533,-2224,-1807,-1285,-658,68,882,1769,2710,
3683,4668,5632,6559,7427,8224,8939,9554,10048,10415,10661,10797,10830,10762,10599,10344,10019,9638,9219,8773,
8297,7792,7268,6732,6203,5670,5138,4594,4039,3478,2925,2378,1840,1294,751,210,-315,-820,-1307,-1790,
-2265,-2734,-3190,-3631,-4062,-4490,-4924,-5359,-5793,-6211,-6616,-7009,-7392,-7771,-8132,-8464,-8764,-9036,-9286,-9519,
-9726,-9896,-10020,-10096,-10127,-10105,-10022,-9861,-9600,-9235,-8764,-8191,-7519,-6742,-5873,-4923,-3920,-2890,-1854,-835,
144,1062,1892,2622,3232,3721,4078,4309,4407,4393,4276,4065,3772,3408,2984,2516,2019,1508,986,455,
-79,-606,-1111,-1591,-2038,-2454,-2828,-3157,-3425,-3619,-3735,-3768,-3717,-3568,-3316,-2960,-2492,-1923,-1247,-475,
392,1336,2336,3363,4403,5433,6424,7350,8180,8903,9506,9992,10357,10596,10716,10717,10627,10459,10227,9933,
9577,9167,8713,8232,7731,7211,6674,6116,5549,4984,4434,3893,3357,2821,2286,1762,1249,745,251,-252,
-756,-1258,-1748,-2219,-2680,-3141,-3591,-4037,-4462,-4872,-5268,-5656,-6048,-6437,-6815,-7180,-7529,-7870,-8206,-8529,
-8830,-9099,-9328,-9519,-9679,-9800,-9873,-9887,-9832,-9709,-9518,-9253,-8905,-8462,-7907,-7248,-6489,-5648,-4729,-3750,
-2720,-1684,-653,328,1249,2079,2809,3422,3908,4268,4511,4632,4645,4548,4357,4085,3752,3356,2916,2432,
1923,1404,886,383,-103,-573,-1015,-1422,-1781,-2089,-2342,-2537,-2668,-2722,-2690,-2565,-2340,-2012,-1580,-1043,
-400,339,1159,2045,2981,3951,4930,5891,6814,7679,8474,9184,9793,10281,10639,10871,10993,11007,10926,10753,
10491,10165,9786,9374,8937,8476,7985,7470,6945,6417,5889,5350,4803,4241,3675,3117,2568,2027,1491,955,
426,-87,-581,-1062,-1535,-2006,-2472,-2937,-3384,-3823,-4260,-4699,-5140,-5576,-5992,-6395,-6778,-7152,-7518,-7868,
-8195,-8493,-8763,-9018,-9254,-9467,-9641,-9771,-9852,-9878,-9846,-9751,-9574,-9296,-8915,-8430,-7848,-7171,-6401,-5544,
-4615,-3634,-2630,-1624,-634,314,1203,2003,2703,3280,3742,4072,4272,4354,4320,4186,3967,3673,3310,2891,
2428,1940,1430,914,389,-140,-661,-1162,-1631,-2067,-2464,-2815,-3116,-3352,-3511,-3589,-3582,-3486,-3298,-3008,
-2608,-2105,-1496,-783,29,927,1891,2899,3923,4945,5939,6883,7754,8520,9176,9710,10131,10435,10624,10696,
10659,10531,10330,10062,9742,9356,8919,8445,7942,7428,6902,6360,5809,5250,4696,4156,3627,3099,2570,2039,
1513,996,489,-13,-517,-1024,-1523,-2008,-2476,-2927,-3372,-3810,-4243,-4659,-5062,-5456,-5846,-6238,-6632,-7018,
-7386,-7743,-8079,-8408,-8721,-9007,-9261,-9469,-9641,-9776,-9874,-9930,-9929,-9854,-9716,-9505,-9215,-8840,-8358,-7764,
-7062,-6259,-5374,-4424,-3413,-2373,-1329,-309,658,1550,2352,3039,3611,4058,4378,4576,4659,4628,4495,4265,
3957,3586,3163,2696,2198,1676,1149,626,119,-369,-836,-1278,-1687,-2052,-2360,-2615,-2811,-2942,-2993,-2956,
-2822,-2588,-2248,-1805,-1256,-602,142,966,1854,2793,3764,4745,5713,6640,7509,8302,9010,9613,10093,10442,
10662,10768,10773,10686,10511,10257,9936,9571,9175,8748,8298,7821,7314,6792,6262,5732,5192,4643,4083,3524,
2975,2435,1909,1393,879,370,-125,-606,-1072,-1537,-2002,-2463,-2923,-3372,-3806,-4238,-4665,-5094,-5514,-5912,
-6293,-6659,-7011,-7357,-7691,-8006,-8295,-8561,-8808,-9039,-9245,-9412,-9531,-9593,-9599,-9544,-9422,-9217,-8914,-8514,
-8011,-7415,-6731,-5961,-5107,-4184,-3212,-2215,-1219,-242,691,1558,2338,3011,3564,3995,4300,4481,4540,4488,
4343,4116,3818,3451,3028,2563,2070,1556,1034,506,-26,-545,-1042,-1507,-1930,-2310,-2646,-2922,-3136,-3273,
-3329,-3302,-3183,-2973,-2658,-2236,-1714,-1080,-344,490,1399,2364,3363,4369,5360,6316,7218,8037,8757,9363,
9850,10223,10488,10639,10675,10606,10444,10207,9910,9556,9149,8692,8203,7692,7171,6645,6112,5566,5020,4473,
3936,3409,2883,2352,1813,1280,755,244,-264,-767,-1267,-1758,-2234,-2687,-3128,-3559,-3986,-4411,-4824,-5230,
-5624,-6018,-6415,-6808,-7194,-7562,-7908,-8235,-8544,-8837,-9104,-9330,-9518,-9670,-9784,-9864,-9900,-9877,-9786,-9614,
-9371,-9037,-8608,-8071,-7417,-6659,-5805,-4872,-3883,-2855,-1808,-769,229,1165,2019,2772,3415,3932,4322,4588,
4732,4756,4674,4491,4217,3869,3464,3017,2534,2021,1490,957,432,-80,-568,-1039,-1483,-1895,-2263,-2578,
-2833,-3026,-3147,-3187,-3138,-2988,-2738,-2382,-1920,-1358,-695,62,897,1798,2749,3729,4723,5698,6629,7494,
8279,8974,9556,10012,10337,10539,10622,10612,10514,10330,10076,9755,9383,8982,8550,8089,7595,7077,6539,5992,
5441,4891,4329,3769,3209,2659,2127,1608,1095,585,77,-422,-909,-1388,-1861,-2334,-2810,-3275,-3726,-4164,
-4592,-5013,-5429,-5838,-6234,-6605,-6961,-7310,-7655,-7990,-8306,-8602,-8872,-9121,-9346,-9543,-9700,-9800,-9844,-9827,
-9749,-9605,-9379,-9062,-8650,-8138,-7537,-6846,-6070,-5211,-4283,-3310,-2312,-1312,-339,593,1451,2217,2877,3419,
3834,4129,4301,4360,4308,4167,3943,3649,3288,2872,2412,1920,1417,901,385,-130,-631,-1105,-1543,-1940,
-2284,-2588,-2833,-3011,-3114,-3139,-3075,-2919,-2670,-2315,-1857,-1288,-614,157,1017,1944,2917,3913,4903,5872,
6798,7666,8450,9134,9703,10155,10492,10718,10830,10831,10726,10533,10266,9942,9566,9143,8680,8184,7673,7157,
6639,6110,5570,5024,4479,3938,3399,2867,2325,1778,1238,703,190,-320,-817,-1314,-1798,-2271,-2723,-3161,
-3594,-4024,-4456,-4885,-5302,-5711,-6114,-6518,-6914,-7301,-7665,-8002,-8318,-8617,-8897,-9152,-9373,-9553,-9698,-9809,
-9882,-9909,-9874,-9764,-9575,-9297,-8931,-8461,-7883,-7194,-6400,-5525,-4577,-3579,-2557,-1524,-508,467,1369,2189,
2904,3504,3982,4330,4552,4654,4643,4526,4315,4022,3660,3243,2791,2307,1801,1280,755,235,-264,-749,
-1208,-1641,-2038,-2388,-2680,-2909,-3067,-3154,-3159,-3065,-2874,-2583,-2187,-1688,-1088,-387,404,1272,2200,3172,
4170,5165,6142,7059,7902,8658,9310,9850,10269,10554,10719,10775,10739,10621,10425,10159,9826,9445,9029,8585,
8105,7601,7068,6520,5964,5410,4862,4309,3755,3204,2661,2135,1620,1111,600,89,-420,-916,-1403,-1884,
-2364,-2841,-3308,-3759,-4195,-4616,-5031,-5443,-5847,-6240,-6620,-6982,-7342,-7697,-8044,-8373,-8680,-8956,-9206,-9431,
-9619,-9771,-9866,-9901,-9881,-9800,-9657,-9437,-9126,-8726,-8225,-7632,-6950,-6177,-5324,-4398,-3425,-2430,-1436,-469,
448,1295,2046,2691,3219,3627,3912,4081,4134,4082,3938,3713,3415,3051,2633,2173,1685,1180,675,164,
-333,-817,-1270,-1686,-2060,-2385,-2662,-2883,-3036,-3116,-3111,-3016,-2829,-2542,-2151,-1656,-1053,-349,444,1315,
2245,3213,4193,5163,6105,7002,7837,8589,9235,9767,10179,10474,10658,10730,10697,10561,10341,10052,9713,9332,
8908,8451,7966,7468,6961,6449,5930,5397,4852,4305,3760,3220,2680,2140,1599,1062,538,32,-459,-948,
-1430,-1903,-2363,-2811,-3250,-3684,-4117,-4555,-4984,-5407,-5814,-6215,-6611,-6999,-7369,-7720,-8044,-8348,-8634,-8902,
-9147,-9367,-9548,-9689,-9796,-9858,-9874,-9822,-9694,-9475,-9164,-8758,-8256,-7651,-6938,-6129,-5240,-4292,-3302,-2287,
-1277,-285,659,1533,2312,2988,3544,3980,4280,4457,4519,4470,4322,4085,3766,3389,2963,2504,2013,1501,
979,451,-67,-570,-1053,-1509,-1936,-2319,-2654,-2925,-3131,-3264,-3321,-3293,-3169,-2947,-2622,-2196,-1665,-1036,
-306,512,1407,2356,3343,4345,5343,6301,7199,8014,8736,9351,9858,10243,10503,10643,10681,10626,10493,10286,
10005,9661,9266,8832,8369,7883,7368,6834,6285,5735,5190,4650,4109,3572,3032,2501,1981,1467,961,448,
-65,-574,-1071,-1558,-2033,-2501,-2964,-3419,-3855,-4275,-4684,-5087,-5488,-5887,-6278,-6658,-7021,-7380,-7736,-8076,
-8398,-8693,-8955,-9190,-9393,-9563,-9688,-9767,-9787,-9748,-9654,-9497,-9266,-8943,-8525,-8007,-7388,-6679,-5882,-5003,
-4064,-3076,-2073,-1080,-122,782,1604,2335,2951,3455,3838,4099,4242,4275,4201,4034,3786,3467,3088,2650,
2179,1683,1176,668,162,-332,-807,-1257,-1668,-2038,-2360,-2633,-2848,-3001,-3071,-3058,-2953,-2753,-2451,-2045,
-1535,-923,-212,583,1447,2372,3328,4296,5252,6178,7058,7870,8600,9224,9728,10113,10377,10530,10572,10516,
10358,10125,9829,9484,9102,8683,8229,7754,7255,6749,6237,5713,5175,4625,4070,3522,2977,2438,1905,1371,
846,336,-161,-641,-1117,-1591,-2058,-2519,-2967,-3407,-3842,-4275,-4709,-5137,-5549,-5949,-6334,-6712,-7082,-7435,
-7768,-8080,-8372,-8645,-8906,-9144,-9354,-9523,-9652,-9738,-9777,-9759,-9672,-9503,-9240,-8888,-8438,-7895,-7253,-6508,
-5677,-4771,-3810,-2816,-1804,-798,179,1100,1949,2698,3335,3850,4241,4503,4640,4668,4592,4422,4167,3837,
3451,3019,2553,2060,1548,1023,495,-26,-526,-998,-1445,-1855,-2222,-2534,-2785,-2966,-3079,-3109,-3058,-2913,
-2669,-2323,-1871,-1320,-668,86,928,1837,2798,3786,4782,5763,6702,7570,8355,9040,9623,10095,10448,10678,
10797,10804,10726,10562,10325,10017,9644,9222,8768,8283,7782,7259,6717,6168,5617,5069,4533,3992,3450,2907,
2365,1832,1306,784,263,-262,-776,-1279,-1766,-2238,-2702,-3160,-3609,-4043,-4462,-4872,-5282,-5688,-6095,-6493,
-6880,-7253,-7614,-7963,-8301,-8612,-8894,-9140,-9357,-9540,-9693,-9805,-9867,-9873,-9820,-9707,-9528,-9268,-8917,-8458,
-7898,-7236,-6481,-5641,-4729,-3761,-2759,-1751,-763,182,1063,1860,2557,3143,3607,3954,4181,4291,4290,4182,
3987,3711,3371,2970,2527,2046,1549,1042,539,41,-445,-913,-1353,-1755,-2119,-2433,-2695,-2900,-3038,-3095,
-3061,-2938,-2714,-2390,-1966,-1436,-805,-85,720,1594,2519,3483,4451,5410,6336,7211,8019,8737,9343,9833,
10196,10439,10573,10603,10532,10373,10136,9841,9499,9119,8704,8253,7770,7270,6752,6227,5693,5146,4588,4027,
3472,2929,2394,1864,1340,821,314,-182,-666,-1144,-1624,-2103,-2575,-3033,-3483,-3924,-4363,-4798,-5226,-5636,
-6027,-6409,-6781,-7144,-7497,-7833,-8148,-8446,-8723,-8987,-9227,-9436,-9601,-9723,-9794,-9814,-9775,-9666,-9470,-9189,
-8814,-8348,-7788,-7137,-6388,-5552,-4647,-3693,-2705,-1705,-715,239,1136,1947,2658,3258,3735,4086,4314,4424,
4425,4329,4142,3876,3537,3144,2707,2238,1742,1230,705,183,-327,-815,-1273,-1695,-2085,-2423,-2710,-2930,
-3083,-3162,-3164,-3078,-2899,-2621,-2236,-1750,-1161,-469,320,1190,2120,3090,4079,5066,6030,6944,7785,8539,
9198,9749,10186,10506,10706,10791,10771,10658,10470,10205,9877,9492,9060,8594,8113,7612,7100,6571,6031,5493,
4957,4424,3889,3348,2805,2262,1728,1203,682,163,-353,-859,-1347,-1824,-2285,-2734,-3181,-3621,-4051,-4475,
-4888,-5301,-5712,-6122,-6523,-6908,-7276,-7632,-7968,-8292,-8589,-8856,-9091,-9296,-9469,-9610,-9715,-9773,-9773,-9710,
-9580,-9378,-9094,-8711,-8224,-7627,-6933,-6147,-5286,-4357,-3383,-2384,-1385,-414,509,1365,2134,2800,3350,3781,
4091,4280,4358,4318,4182,3957,3660,3300,2888,2436,1953,1453,947,445,-49,-533,-999,-1436,-1833,-2192,
-2499,-2750,-2937,-3056,-3090,-3035,-2885,-2637,-2288,-1839,-1292,-644,93,911,1797,2733,3696,4669,5623,6538,
7399,8180,8868,9446,9901,10235,10452,10563,10573,10491,10326,10088,9789,9447,9063,8644,8189,7700,7190,6667,
6136,5597,5051,4498,3946,3402,2867,2346,1828,1313,802,298,-194,-681,-1166,-1645,-2126,-2598,-3056,-3500,
-3936,-4365,-4788,-5202,-5601,-5988,-6359,-6725,-7084,-7436,-7774,-8092,-8389,-8669,-8927,-9161,-9361,-9514,-9617,-9671,
-9670,-9615,-9487,-9281,-8987,-8606,-8137,-7572,-6914,-6169,-5333,-4427,-3472,-2488,-1497,-520,417,1291,2076,2763,
3333,3783,4113,4318,4411,4397,4290,4093,3818,3474,3070,2624,2150,1652,1137,618,103,-399,-873,-1317,
-1723,-2089,-2410,-2675,-2878,-3007,-3064,-3038,-2924,-2713,-2402,-1982,-1461,-839,-116,696,1578,2516,3480,4453,
5418,6349,7229,8032,8742,9353,9854,10240,10508,10661,10695,10629,10471,10242,9948,9591,9184,8741,8270,7782,
7281,6767,6238,5698,5155,4615,4072,3528,2978,2426,1875,1336,809,289,-224,-732,-1230,-1717,-2184,-2643,
-3090,-3536,-3980,-4418,-4844,-5267,-5681,-6095,-6503,-6899,-7277,-7636,-7977,-8304,-8610,-8897,-9152,-9378,-9573,-9741,
-9878,-9973,-10019,-10004,-9923,-9766,-9532,-9210,-8789,-8262,-7630,-6896,-6084,-5197,-4254,-3268,-2265,-1269,-305,610,
1450,2200,2844,3369,3776,4057,4218,4267,4206,4048,3807,3497,3128,2714,2261,1779,1281,779,280,-210,
-688,-1147,-1576,-1965,-2308,-2597,-2825,-2988,-3078,-3085,-3005,-2827,-2550,-2178,-1703,-1129,-454,304,1144,2044,
2995,3969,4942,5893,6796,7635,8393,9053,9600,10026,10333,10530,10621,10618,10522,10345,10098,9790,9429,9032,
8599,8129,7626,7103,6572,6034,5493,4950,4403,3854,3315,2784,2264,1749,1230,715,203,-299,-795,-1285,
-1773,-2256,-2729,-3186,-3626,-4057,-4481,-4900,-5309,-5707,-6094,-6472,-6842,-7206,-7565,-7908,-8228,-8525,-8798,-9052,
-9272,-9456,-9595,-9684,-9723,-9710,-9637,-9503,-9286,-8983,-8591,-8106,-7529,-6858,-6091,-5243,-4324,-3363,-2373,-1383,
-415,508,1362,2123,2785,3331,3759,4066,4254,4329,4300,4177,3966,3681,3325,2916,2465,1984,1487,981,
471,-33,-514,-974,-1399,-1788,-2137,-2435,-2681,-2862,-2969,-2997,-2944,-2798,-2551,-2200,-1748,-1188,-532,221,
1054,1953,2895,3864,4833,5790,6709,7572,8355,9042,9618,10087,10436,10669,10783,10785,10686,10506,10256,9949,
9588,9179,8738,8273,7788,7294,6781,6258,5717,5172,4625,4078,3533,2983,2432,1888,1355,833,327,-174,
-672,-1161,-1641,-2106,-2563,-3013,-3460,-3910,-4349,-4782,-5202,-5619,-6026,-6428,-6817,-7188,-7536,-7869,-8187,-8490,
-8772,-9030,-9258,-9455,-9619,-9752,-9842,-9879,-9847,-9746,-9567,-9306,-8956,-8508,-7956,-7305,-6560,-5737,-4847,-3904,
-2927,-1931,-954,-5,881,1693,2408,3013,3498,3863,4100,4223,4233,4143,3958,3691,3364,2982,2553,2089,
1596,1094,580,75,-418,-898,-1354,-1777,-2157,-2491,-2762,-2975,-3117,-3188,-3172,-3067,-2866,-2567,-2172,-1676,
-1074,-382,400,1259,2172,3126,4100,5065,5996,6877,7687,8410,9034,9550,9949,10227,10397,10464,10440,10325,
10130,9862,9534,9158,8742,8295,7812,7308,6782,6250,5716,5184,4648,4111,3574,3039,2514,1991,1474,956,
437,-76,-581,-1077,-1563,-2043,-2516,-2976,-3423,-3854,-4273,-4685,-5096,-5504,-5903,-6290,-6668,-7039,-7405,-7758,
-8094,-8409,-8696,-8954,-9187,-9390,-9558,-9679,-9755,-9778,-9751,-9666,-9519,-9287,-8971,-8557,-8050,-7448,-6751,-5961,
-5090,-4157,-3181,-2191,-1207,-251,654,1485,2226,2860,3381,3784,4067,4231,4283,4231,4087,3859,3554,3184,
2765,2307,1824,1329,826,321,-173,-651,-1098,-1515,-1895,-2235,-2521,-2760,-2922,-3015,-3024,-2948,-2776,-2505,
-2129,-1656,-1077,-402,363,1205,2107,3048,4010,4973,5916,6820,7663,8418,9077,9620,10051,10365,10559,10643,
10615,10496,10299,10037,9722,9360,8954,8513,8045,7561,7061,6546,6012,5467,4917,4363,3816,3269,2725,2183,
1648,1125,613,113,-379,-869,-1354,-1833,-2300,-2758,-3211,-3660,-4106,-4543,-4969,-5384,-5786,-6183,-6567,-6942,
-7299,-7639,-7960,-8270,-8563,-8840,-9091,-9311,-9495,-9645,-9755,-9820,-9827,-9767,-9628,-9414,-9116,-8731,-8247,-7667,
-6989,-6224,-5380,-4475,-3524,-2541,-1549,-578,358,1225,2013,2695,3263,3717,4046,4254,4346,4329,4220,4020,
3743,3403,3013,2579,2114,1620,1116,609,106,-381,-848,-1289,-1695,-2057,-2367,-2616,-2801,-2922,-2964,-2925,
-2797,-2569,-2249,-1821,-1296,-671,50,855,1728,2651,3607,4571,5525,6434,7288,8070,8761,9354,9840,10203,
10455,10591,10635,10579,10437,10214,9920,9570,9173,8740,8279,7792,7281,6755,6226,5694,5163,4630,4091,3552,
3011,2481,1951,1423,901,373,-144,-651,-1143,-1627,-2102,-2567,-3023,-3465,-3894,-4315,-4730,-5146,-5559,-5964,
-6361,-6742,-7116,-7477,-7829,-8158,-8463,-8740,-8987,-9205,-9399,-9556,-9671,-9739,-9757,-9725,-9633,-9469,-9225,-8885,
-8449,-7915,-7286,-6561,-5750,-4862,-3918,-2942,-1952,-978,-37,850,1659,2376,2985,3483,3861,4119,4259,4291,
4219,4055,3812,3493,3120,2697,2240,1759,1270,774,281,-206,-672,-1111,-1519,-1889,-2215,-2491,-2705,-2855,
-2922,-2907,-2803,-2604,-2308,-1909,-1409,-813,-121,656,1507,2414,3356,4314,5272,6200,7084,7903,8631,9258,
9765,10160,10440,10609,10662,10621,10488,10282,10017,9698,9336,8927,8479,8010,7515,7009,6487,5948,5397,4846,
4289,3746,3204,2666,2135,1606,1088,583,85,-408,-902,-1391,-1874,-2347,-2809,-3263,-3714,-4158,-4592,-5011,
-5419,-5815,-6204,-6586,-6955,-7312,-7651,-7974,-8287,-8580,-8858,-9105,-9320,-9495,-9632,-9724,-9768,-9750,-9669,-9505,
-9267,-8946,-8537,-8036,-7438,-6745,-5965,-5114,-4196,-3242,-2261,-1278,-317,593,1434,2183,2829,3360,3773,4060,
4232,4294,4255,4118,3899,3603,3248,2842,2397,1922,1421,911,403,-96,-579,-1036,-1464,-1852,-2199,-2491,
-2722,-2893,-2993,-3018,-2957,-2802,-2554,-2203,-1752,-1199,-548,195,1018,1902,2829,3779,4736,5675,6566,7400,
8157,8825,9392,9848,10186,10410,10519,10526,10445,10276,10029,9717,9351,8941,8502,8038,7552,7045,6524,5999,
5468,4937,4406,3862,3318,2775,2235,1701,1171,644,124,-390,-891,-1376,-1851,-2319,-2779,-3233,-3671,-4103,
-4530,-4949,-5369,-5788,-6195,-6588,-6971,-7338,-7692,-8032,-8350,-8644,-8907,-9146,-9356,-9542,-9691,-9799,-9858,-9865,
-9816,-9702,-9511,-9234,-8861,-8388,-7815,-7148,-6393,-5554,-4649,-3694,-2713,-1727,-760,167,1031,1817,2506,3085,
3545,3889,4112,4223,4217,4115,3923,3658,3326,2936,2506,2043,1561,1070,573,80,-401,-867,-1304,-1704,
-2066,-2382,-2645,-2843,-2971,-3021,-2983,-2857,-2637,-2319,-1901,-1382,-766,-60,732,1594,2512,3462,4423,5375,
6299,7171,7970,8677,9283,9770,10142,10404,10555,10602,10552,10417,10208,9937,9616,9245,8833,8383,7900,7402,
6887,6360,5823,5275,4725,4181,3641,3111,2582,2057,1535,1020,513,13,-483,-976,-1472,-1957,-2428,-2889,
-3338,-3779,-4214,-4641,-5054,-5453,-5845,-6227,-6608,-6975,-7331,-7673,-7995,-8305,-8595,-8862,-9102,-9298,-9455,-9571,
-9641,-9660,-9623,-9515,-9335,-9070,-8728,-8297,-7772,-7148,-6430,-5626,-4752,-3821,-2854,-1870,-894,53,939,1750,
2466,3074,3568,3940,4196,4338,4370,4304,4144,3901,3587,3214,2795,2338,1853,1351,841,334,-157,-630,
-1074,-1488,-1864,-2196,-2475,-2692,-2843,-2926,-2930,-2846,-2668,-2389,-2009,-1531,-949,-273,494,1333,2228,3165,
4116,5066,5993,6877,7694,8431,9077,9616,10041,10348,10536,10611,10588,10474,10280,10014,9685,9304,8889,8445,
7979,7488,6985,6462,5935,5399,4860,4319,3770,3218,2671,2128,1594,1064,542,27,-479,-976,-1458,-1928,
-2392,-2854,-3308,-3755,-4191,-4621,-5047,-5468,-5883,-6290,-6679,-7056,-7412,-7757,-8088,-8398,-8682,-8942,-9177,-9387,
-9564,-9712,-9815,-9865,-9858,-9790,-9653,-9441,-9136,-8733,-8232,-7632,-6945,-6171,-5323,-4411,-3455,-2478,-1503,-549,
358,1200,1961,2618,3165,3591,3901,4090,4165,4132,4003,3792,3506,3163,2763,2323,1856,1369,873,376,
-119,-601,-1063,-1492,-1887,-2233,-2535,-2777,-2958,-3061,-3084,-3025,-2871,-2624,-2280,-1836,-1293,-651,80,891,
1770,2696,3652,4608,5548,6450,7295,8059,8736,9301,9756,10093,10321,10444,10469,10396,10238,10011,9722,9381,
8993,8562,8097,7601,7091,6570,6043,5505,4963,4419,3879,3349,2818,2295,1772,1247,729,218,-286,-785,
-1282,-1771,-2252,-2719,-3172,-3613,-4048,-4472,-4890,-5298,-5695,-6083,-6466,-6847,-7219,-7572,-7915,-8233,-8534,-8814,
-9067,-9294,-9477,-9619,-9721,-9776,-9783,-9734,-9618,-9427,-9158,-8804,-8360,-7823,-7190,-6458,-5643,-4758,-3822,-2852,
-1875,-906,25,895,1691,2389,2978,3457,3818,4060,4190,4214,4139,3969,3720,3402,3028,2607,2155,1678,
1186,690,198,-278,-730,-1157,-1551,-1909,-2218,-2475,-2666,-2794,-2842,-2811,-2693,-2473,-2155,-1738,-1220,-604,
104,892,1750,2653,3589,4536,5475,6386,7241,8029,8728,9328,9822,10197,10454,10594,10624,10561,10413,10195,
9912,9570,9183,8764,8313,7847,7358,6848,6325,5788,5246,4704,4156,3606,3055,2507,1968,1439,920,408,
-99,-597,-1087,-1568,-2039,-2502,-2961,-3419,-3869,-4310,-4737,-5162,-5577,-5986,-6382,-6764,-7129,-7480,-7813,-8140,
-8446,-8728,-8987,-9218,-9421,-9597,-9734,-9824,-9863,-9835,-9745,-9580,-9340,-9009,-8581,-8055,-7438,-6729,-5939,-5077,
-4160,-3198,-2220,-1245,-296,602,1430,2170,2805,3326,3730,4011,4176,4232,4182,4040,3818,3527,3173,2775,
2334,1862,1377,881,387,-101,-576,-1027,-1447,-1823,-2152,-2431,-2650,-2803,-2882,-2881,-2792,-2616,-2341,-1971,
-1497,-928,-261,495,1326,2216,3149,4099,5053,5972,6855,7673,8415,9054,9591,10013,10324,10528,10623,10625,
10530,10352,10100,9791,9429,9023,8581,8102,7605,7091,6571,6045,5508,4970,4430,3891,3358,2825,2295,1765,
1237,711,191,-318,-817,-1314,-1801,-2281,-2742,-3191,-3630,-4061,-4488,-4908,-5322,-5727,-6123,-6513,-6898,-7272,
-7631,-7970,-8289,-8583,-8854,-9101,-9316,-9494,-9631,-9723,-9777,-9780,-9728,-9606,-9411,-9132,-8765,-8306,-7751,-7097,
-6349,-5525,-4633,-3696,-2736,-1766,-817,95,942,1709,2381,2946,3397,3731,3950,4055,4057,3960,3779,3515,
3185,2803,2381,1928,1456,969,484,2,-462,-905,-1318,-1700,-2041,-2332,-2568,-2739,-2840,-2861,-2797,-2642,
-2390,-2035,-1584,-1035,-393,338,1148,2018,2930,3866,4810,5741,6636,7467,8227,8892,9451,9901,10236,10451,
10558,10556,10469,10303,10071,9778,9432,9043,8619,8168,7695,7203,6689,6158,5619,5078,4530,3986,3441,2898,
2357,1829,1308,800,293,-207,-703,-1191,-1670,-2142,-2610,-3072,-3527,-3977,-4415,-4838,-5255,-5664,-6063,-6453,
-6826,-7189,-7537,-7870,-8193,-8497,-8781,-9036,-9267,-9465,-9631,-9754,-9828,-9850,-9802,-9690,-9505,-9242,-8892,-8448,
-7904,-7271,-6548,-5748,-4877,-3950,-2989,-2009,-1039,-105,780,1584,2300,2905,3396,3767,4022,4159,4190,4122,
3961,3724,3418,3057,2644,2197,1719,1229,731,237,-246,-713,-1153,-1558,-1921,-2235,-2494,-2694,-2834,-2893,
-2873,-2763,-2566,-2271,-1875,-1379,-784,-99,673,1517,2412,3344,4290,5229,6134,6994,7788,8504,9124,9635,
10032,10320,10499,10574,10546,10433,10235,9967,9641,9267,8856,8407,7933,7437,6931,6417,5898,5370,4834,4298,
3758,3225,2693,2160,1630,1102,579,66,-438,-931,-1415,-1893,-2360,-2814,-3253,-3688,-4114,-4542,-4963,-5374,
-5779,-6178,-6562,-6941,-7305,-7657,-7980,-8284,-8564,-8819,-9049,-9249,-9416,-9540,-9621,-9657,-9647,-9571,-9427,-9201,
-8888,-8483,-7986,-7389,-6702,-5925,-5070,-4161,-3215,-2248,-1288,-352,537,1362,2098,2736,3264,3677,3972,4152,
4219,4184,4057,3844,3555,3205,2805,2373,1911,1433,943,454,-29,-495,-936,-1348,-1728,-2064,-2347,-2575,
-2734,-2817,-2822,-2745,-2571,-2302,-1935,-1469,-906,-250,491,1305,2184,3096,4035,4976,5897,6779,7596,8332,
8971,9504,9927,10234,10431,10515,10502,10402,10228,9988,9686,9336,8939,8507,8045,7564,7058,6538,6000,5455,
4911,4364,3823,3281,2743,2210,1684,1168,659,153,-350,-850,-1346,-1829,-2306,-2772,-3234,-3686,-4130,-4560,
-4977,-5384,-5789,-6182,-6566,-6938,-7297,-7641,-7973,-8292,-8596,-8875,-9123,-9340,-9521,-9668,-9773,-9823,-9817,-9747,
-9608,-9398,-9108,-8733,-8261,-7695,-7037,-6292,-5470,-4582,-3643,-2673,-1696,-737,181,1038,1812,2489,3059,3510,
3844,4060,4169,4171,4075,3892,3633,3308,2932,2506,2048,1565,1070,574,85,-389,-848,-1278,-1668,-2017,
-2318,-2561,-2746,-2864,-2907,-2866,-2738,-2513,-2195,-1775,-1254,-635,71,856,1709,2611,3542,4482,5408,6301,
7141,7915,8607,9205,9684,10056,10310,10457,10500,10448,10300,10078,9791,9447,9061,8642,8192,7715,7217,6710,
6194,5669,5139,4601,4057,3513,2971,2432,1898,1364,838,316,-192,-691,-1179,-1659,-2129,-2596,-3047,-3492,
-3925,-4358,-4788,-5211,-5626,-6031,-6425,-6804,-7174,-7530,-7867,-8186,-8476,-8747,-8993,-9216,-9408,-9566,-9683,-9755,
-9776,-9745,-9650,-9478,-9223,-8874,-8431,-7899,-7271,-6553,-5754,-4883,-3961,-3008,-2045,-1091,-165,709,1507,2221,
2831,3328,3707,3969,4116,4157,4093,3943,3713,3413,3054,2649,2213,1751,1273,787,300,-174,-635,-1070,
-1472,-1837,-2156,-2426,-2630,-2766,-2826,-2808,-2702,-2503,-2209,-1819,-1329,-743,-67,695,1525,2414,3341,4278,
5220,6130,6997,7792,8502,9116,9623,10018,10305,10479,10547,10519,10408,10217,9969,9657,9293,8884,8443,7968,
7476,6963,6438,5899,5355,4813,4272,3734,3200,2664,2133,1607,1089,578,65,-442,-946,-1442,-1928,-2403,
-2868,-3325,-3773,-4210,-4636,-5050,-5455,-5854,-6248,-6633,-7008,-7368,-7717,-8050,-8368,-8664,-8936,-9175,-9377,-9546,
-9678,-9764,-9802,-9778,-9695,-9545,-9319,-9015,-8622,-8136,-7553,-6875,-6113,-5275,-4378,-3433,-2468,-1500,-557,339,
1168,1912,2559,3097,3517,3821,4014,4097,4077,3960,3761,3488,3152,2763,2335,1871,1394,903,416,-63,
-526,-966,-1380,-1755,-2083,-2365,-2589,-2752,-2846,-2862,-2793,-2631,-2375,-2020,-1566,-1011,-366,365,1172,2039,
2946,3880,4816,5734,6611,7436,8186,8846,9408,9856,10185,10401,10510,10518,10433,10265,10021,9720,9365,8978,
8553,8103,7625,7130,6618,6100,5572,5035,4494,3946,3398,2856,2318,1787,1259,736,224,-277,-768,-1252,
-1728,-2199,-2663,-3120,-3565,-4006,-4440,-4869,-5292,-5707,-6105,-6494,-6868,-7231,-7577,-7911,-8223,-8515,-8779,-9025,
-9245,-9436,-9590,-9699,-9766,-9775,-9726,-9610,-9417,-9138,-8767,-8307,-7753,-7111,-6378,-5572,-4698,-3774,-2824,-1865,
-920,-12,845,1626,2312,2894,3364,3716,3952,4071,4089,4009,3839,3599,3288,2923,2515,2072,1607,1129,
642,161,-314,-766,-1191,-1582,-1932,-2232,-2482,-2661,-2777,-2809,-2765,-2631,-2408,-2087,-1668,-1153,-541,162,
944,1792,2691,3619,4554,5479,6373,7214,7982,8663,9243,9715,10082,10340,10488,10533,10486,10349,10143,9873,
9547,9166,8744,8288,7811,7314,6799,6273,5742,5204,4665,4131,3598,3067,2534,2004,1476,956,442,-69,
-578,-1080,-1572,-2053,-2521,-2975,-3426,-3865,-4296,-4718,-5130,-5537,-5934,-6330,-6718,-7095,-7453,-7799,-8128,-8439,
-8727,-8987,-9218,-9408,-9565,-9685,-9764,-9792,-9763,-9671,-9512,-9275,-8958,-8551,-8050,-7448,-6756,-5978,-5131,-4231,
-3285,-2325,-1373,-445,432,1239,1959,2582,3096,3495,3781,3949,4013,3974,3843,3627,3343,3000,2604,2172,
1716,1237,756,275,-190,-643,-1070,-1470,-1830,-2146,-2407,-2612,-2753,-2819,-2806,-2704,-2508,-2218,-1827,-1338,
-759,-82,674,1499,2377,3288,4223,5152,6058,6916,7709,8430,9052,9571,9972,10260,10434,10503,10475,10365,
10173,9915,9600,9244,8847,8417,7962,7482,6980,6465,5937,5405,4868,4325,3776,3231,2693,2163,1638,1123,
609,104,-394,-878,-1361,-1836,-2309,-2771,-3226,-3674,-4110,-4540,-4965,-5380,-5787,-6177,-6557,-6922,-7276,-7618,
-7946,-8253,-8540,-8804,-9045,-9260,-9442,-9585,-9685,-9729,-9720,-9651,-9508,-9297,-8991,-8602,-8118,-7548,-6887,-6140,
-5318,-4434,-3507,-2554,-1593,-655,245,1085,1843,2509,3063,3507,3832,4041,4140,4135,4038,3853,3597,3278,
2904,2486,2037,1567,1088,602,117,-350,-795,-1210,-1588,-1922,-2210,-2436,-2603,-2696,-2709,-2646,-2492,-2245,
-1902,-1457,-921,-289,432,1230,2087,2990,3913,4839,5748,6620,7437,8180,8829,9380,9827,10166,10394,10516,
10536,10461,10303,10073,9781,9436,9043,8610,8147,7663,7163,6652,6129,5598,5064,4527,3993,3458,2924,2389,
1852,1321,802,283,-227,-730,-1228,-1716,-2192,-2651,-3101,-3545,-3979,-4409,-4831,-5246,-5654,-6054,-6447,-6836,
-7208,-7562,-7901,-8219,-8517,-8794,-9039,-9255,-9438,-9582,-9690,-9757,-9775,-9732,-9625,-9445,-9187,-8844,-8408,-7874,
-7247,-6528,-5728,-4865,-3951,-3005,-2047,-1100,-192,667,1449,2146,2741,3223,3594,3846,3990,4028,3965,3811,
3578,3277,2922,2520,2087,1624,1149,671,198,-266,-709,-1130,-1520,-1869,-2174,-2420,-2605,-2725,-2771,-2731,
-2600,-2381,-2063,-1647,-1135,-532,162,935,1775,2661,3578,4508,5434,6325,7165,7936,8628,9214,9697,10061,
10315,10456,10499,10448,10316,10111,9841,9513,9145,8739,8300,7834,7344,6834,6307,5773,5236,4691,4148,3602,
3063,2530,2001,1481,966,457,-50,-547,-1040,-1524,-2005,-2476,-2945,-3400,-3845,-4280,-4705,-5123,-5533,-5935,
-6321,-6694,-7058,-7408,-7750,-8076,-8383,-8667,-8931,-9163,-9370,-9541,-9669,-9749,-9774,-9746,-9655,-9493,-9254,-8934,
-8517,-8013,-7419,-6739,-5974,-5136,-4237,-3300,-2341,-1383,-452,437,1257,1993,2628,3155,3568,3865,4051,4124,
4101,3983,3787,3517,3186,2800,2378,1924,1456,974,495,20,-441,-867,-1269,-1629,-1944,-2213,-2419,-2562,
-2632,-2626,-2534,-2352,-2081,-1706,-1238,-669,-11,731,1545,2415,3320,4244,5161,6060,6917,7714,8434,9064,
9589,10008,10316,10516,10607,10601,10502,10321,10069,9760,9399,8996,8558,8089,7606,7111,6597,6076,5546,5008,
4471,3929,3391,2851,2312,1773,1242,718,203,-306,-804,-1297,-1776,-2248,-2708,-3159,-3600,-4041,-4476,-4902,
-5322,-5731,-6136,-6531,-6911,-7282,-7633,-7961,-8270,-8559,-8830,-9071,-9281,-9456,-9598,-9698,-9757,-9765,-9709,-9584,
-9381,-9099,-8728,-8264,-7704,-7048,-6309,-5496,-4619,-3702,-2761,-1812,-879,13,847,1603,2267,2829,3278,3615,
3836,3948,3952,3862,3684,3435,3116,2752,2345,1908,1443,970,489,20,-440,-880,-1293,-1671,-2011,-2300,
-2528,-2696,-2793,-2815,-2749,-2596,-2348,-2004,-1567,-1034,-408,304,1093,1944,2836,3758,4688,5599,6480,7300,
8048,8704,9264,9712,10055,10279,10400,10423,10359,10211,9998,9718,9383,9004,8590,8142,7669,7171,6654,6128,
5593,5054,4519,3979,3439,2906,2377,1856,1338,824,312,-194,-696,-1189,-1673,-2150,-2623,-3085,-3537,-3978,
-4405,-4822,-5235,-5637,-6036,-6419,-6793,-7155,-7509,-7850,-8176,-8478,-8759,-9013,-9238,-9430,-9586,-9699,-9760,-9772,
-9727,-9618,-9439,-9186,-8845,-8414,-7892,-7282,-6583,-5804,-4955,-4049,-3110,-2156,-1209,-296,570,1359,2064,2668,
3160,3540,3806,3962,4012,3962,3823,3607,3322,2973,2583,2150,1694,1223,745,268,-193,-644,-1063,-1447,
-1794,-2098,-2348,-2535,-2661,-2707,-2680,-2562,-2354,-2051,-1649,-1152,-558,123,884,1710,2587,3498,4413,5325,
6208,7048,7823,8521,9118,9615,9998,10273,10438,10502,10461,10337,10133,9870,9545,9178,8771,8333,7868,7386,
6886,6379,5857,5323,4787,4244,3702,3163,2626,2089,1556,1032,514,7,-490,-980,-1465,-1939,-2405,-2863,
-3310,-3750,-4189,-4623,-5046,-5460,-5864,-6261,-6646,-7018,-7373,-7715,-8033,-8330,-8611,-8872,-9105,-9307,-9474,-9606,
-9696,-9738,-9725,-9649,-9500,-9272,-8958,-8562,-8068,-7483,-6805,-6047,-5218,-4334,-3410,-2467,-1524,-598,285,1102,
1838,2479,3015,3438,3745,3940,4024,4011,3901,3710,3445,3121,2747,2337,1894,1431,956,479,7,-444,
-878,-1283,-1650,-1975,-2248,-2460,-2607,-2682,-2682,-2595,-2419,-2149,-1784,-1327,-773,-129,602,1405,2261,3160,
4079,4999,5897,6753,7546,8263,8892,9418,9841,10150,10351,10444,10448,10361,10202,9967,9671,9321,8924,8495,
8037,7553,7047,6528,5997,5464,4927,4392,3857,3318,2785,2256,1733,1210,692,178,-332,-838,-1335,-1817,
-2294,-2761,-3220,-3665,-4100,-4525,-4940,-5349,-5753,-6149,-6537,-6913,-7276,-7625,-7967,-8284,-8581,-8852,-9094,-9304,
-9482,-9622,-9720,-9769,-9760,-9697,-9571,-9377,-9100,-8735,-8283,-7735,-7096,-6372,-5572,-4705,-3790,-2843,-1896,-960,
-64,778,1543,2215,2784,3245,3593,3830,3956,3977,3903,3741,3505,3202,2844,2440,2004,1543,1074,600,
132,-325,-760,-1172,-1544,-1879,-2164,-2399,-2570,-2677,-2703,-2650,-2506,-2272,-1938,-1511,-989,-371,332,1107,
1946,2832,3741,4658,5564,6437,7261,8016,8687,9261,9725,10074,10316,10450,10482,10418,10272,10055,9775,9443,
9070,8662,8216,7749,7258,6756,6240,5714,5176,4631,4083,3541,2999,2463,1928,1401,879,367,-135,-629,
-1120,-1601,-2079,-2548,-3006,-3460,-3903,-4341,-4772,-5199,-5608,-6006,-6395,-6775,-7142,-7492,-7825,-8141,-8437,-8718,
-8969,-9200,-9398,-9562,-9681,-9761,-9787,-9756,-9656,-9485,-9234,-8898,-8473,-7961,-7354,-6660,-5889,-5049,-4159,-3235,
-2292,-1355,-441,424,1221,1932,2545,3050,3442,3719,3885,3947,3907,3780,3573,3297,2963,2580,2162,1716,
1254,778,304,-162,-608,-1031,-1421,-1772,-2080,-2331,-2524,-2648,-2701,-2673,-2563,-2363,-2068,-1675,-1189,-613,
60,809,1629,2501,3402,4321,5232,6118,6958,7731,8425,9024,9527,9921,10209,10385,10458,10440,10332,10149,
9901,9587,9223,8818,8378,7914,7429,6924,6404,5879,5352,4817,4286,3752,3217,2680,2150,1623,1102,582,
66,-444,-944,-1435,-1916,-2385,-2844,-3294,-3738,-4169,-4590,-5005,-5416,-5822,-6219,-6607,-6983,-7346,-7691,-8024,
-8334,-8621,-8882,-9113,-9311,-9478,-9603,-9691,-9732,-9715,-9640,-9498,-9286,-8990,-8606,-8125,-7556,-6894,-6148,-5330,
-4451,-3531,-2587,-1640,-721,161,979,1718,2365,2908,3340,3664,3869,3969,3969,3871,3692,3437,3120,2755,
2345,1904,1448,982,514,52,-397,-823,-1222,-1586,-1905,-2176,-2393,-2544,-2626,-2630,-2548,-2376,-2108,-1749,
-1291,-742,-102,620,1415,2267,3161,4074,4991,5888,6746,7551,8282,8921,9459,9887,10204,10409,10512,10514,
10431,10265,10031,9739,9401,9019,8601,8151,7675,7179,6666,6145,5610,5071,4524,3978,3435,2898,2366,1838,
1313,796,288,-215,-712,-1200,-1689,-2166,-2638,-3097,-3546,-3992,-4427,-4856,-5274,-5681,-6073,-6458,-6830,-7195,
-7544,-7876,-8190,-8486,-8761,-9015,-9240,-9430,-9581,-9687,-9751,-9759,-9709,-9591,-9396,-9130,-8774,-8330,-7800,-7181,
-6476,-5690,-4841,-3948,-3020,-2078,-1148,-253,598,1372,2059,2644,3120,3480,3734,3873,3913,3857,3715,3491,
3204,2859,2472,2047,1598,1133,661,191,-266,-705,-1112,-1488,-1822,-2109,-2341,-2511,-2613,-2644,-2592,-2452,
-2225,-1900,-1482,-967,-361,333,1103,1937,2813,3718,4628,5530,6397,7216,7964,8630,9201,9672,10036,10289,
10440,10481,10430,10303,10095,9823,9495,9121,8707,8260,7792,7308,6804,6288,5766,5237,4708,4174,3637,3103,
2566,2030,1504,981,465,-49,-556,-1049,-1534,-2008,-2473,-2926,-3372,-3813,-4243,-4667,-5082,-5495,-5899,-6296,
-6681,-7052,-7408,-7748,-8071,-8371,-8650,-8899,-9120,-9311,-9469,-9593,-9670,-9700,-9675,-9586,-9428,-9197,-8881,-8472,
-7968,-7375,-6693,-5934,-5102,-4219,-3297,-2360,-1426,-516,343,1141,1856,2477,2992,3398,3690,3872,3946,3920,
3801,3607,3336,3010,2635,2220,1780,1318,855,390,-68,-513,-934,-1324,-1678,-1987,-2242,-2441,-2572,-2631,
-2610,-2502,-2305,-2016,-1631,-1149,-578,85,825,1633,2492,3388,4304,5212,6096,6935,7713,8413,9021,9522,
9915,10197,10374,10451,10430,10325,10148,9898,9598,9247,8856,8430,7971,7485,6985,6468,5941,5407,4867,4325,
3784,3245,2715,2186,1662,1145,632,123,-380,-875,-1364,-1849,-2327,-2795,-3251,-3696,-4134,-4562,-4982,-5392,
-5793,-6178,-6558,-6928,-7287,-7633,-7965,-8272,-8563,-8831,-9073,-9285,-9462,-9596,-9687,-9727,-9717,-9647,-9509,-9296,
-9003,-8627,-8165,-7612,-6969,-6245,-5444,-4579,-3673,-2739,-1800,-877,10,836,1588,2249,2804,3250,3585,3810,
3926,3941,3863,3703,3466,3162,2805,2409,1979,1525,1061,591,128,-323,-749,-1145,-1507,-1828,-2097,-2313,
-2465,-2548,-2557,-2485,-2322,-2066,-1718,-1273,-732,-104,611,1398,2240,3123,4023,4930,5819,6672,7472,8198,
8835,9381,9820,10153,10374,10490,10505,10425,10269,10042,9752,9411,9023,8602,8153,7684,7193,6691,6172,5645,
5115,4580,4041,3503,2960,2421,1884,1357,835,321,-186,-685,-1178,-1657,-2129,-2592,-3044,-3491,-3932,-4368,
-4791,-5211,-5619,-6027,-6417,-6797,-7161,-7507,-7843,-8155,-8446,-8718,-8962,-9179,-9361,-9512,-9626,-9695,-9711,-9668,
-9563,-9381,-9123,-8780,-8345,-7820,-7201,-6498,-5722,-4878,-3988,-3067,-2132,-1207,-310,535,1312,2007,2601,3089,
3466,3732,3887,3935,3888,3750,3537,3259,2926,2541,2127,1684,1225,762,301,-152,-589,-1000,-1381,-1718,
-2010,-2249,-2426,-2534,-2570,-2523,-2392,-2168,-1852,-1443,-940,-346,336,1092,1913,2783,3683,4589,5490,6358,
7175,7924,8594,9170,9640,10000,10254,10402,10453,10416,10292,10096,9833,9513,9147,8743,8303,7833,7339,6825,
6306,5775,5239,4702,4161,3621,3084,2552,2024,1498,976,455,-57,-563,-1064,-1561,-2045,-2521,-2987,-3442,
-3885,-4318,-4745,-5165,-5574,-5973,-6362,-6744,-7117,-7475,-7825,-8153,-8463,-8747,-9009,-9241,-9444,-9607,-9731,-9806,
-9835,-9806,-9725,-9571,-9342,-9034,-8636,-8151,-7579,-6913,-6170,-5352,-4478,-3563,-2629,-1696,-786,82,888,1606,
2237,2763,3180,3485,3679,3768,3761,3661,3476,3225,2905,2541,2132,1700,1247,783,320,-136,-574,-990,
-1376,-1725,-2024,-2283,-2479,-2611,-2673,-2658,-2560,-2371,-2087,-1712,-1238,-673,-18,717,1519,2370,3260,4166,
5067,5952,6795,7579,8288,8904,9425,9840,10141,10338,10429,10419,10323,10147,9910,9612,9263,8875,8454,8005,
7533,7045,6541,6023,5494,4961,4423,3885,3344,2806,2270,1739,1215,703,196,-304,-798,-1286,-1765,-2235,
-2694,-3149,-3595,-4039,-4471,-4897,-5311,-5716,-6113,-6500,-6872,-7227,-7567,-7893,-8200,-8490,-8752,-8993,-9201,-9378,
-9519,-9624,-9680,-9680,-9616,-9485,-9283,-8997,-8628,-8166,-7615,-6977,-6254,-5464,-4612,-3717,-2791,-1864,-945,-65,
762,1514,2179,2743,3201,3543,3774,3899,3923,3849,3694,3462,3170,2824,2433,2010,1564,1104,636,177,
-271,-701,-1104,-1472,-1799,-2071,-2292,-2449,-2538,-2549,-2480,-2324,-2078,-1738,-1306,-775,-157,544,1320,2151,
3029,3931,4837,5728,6580,7378,8105,8749,9298,9744,10084,10312,10442,10473,10413,10276,10059,9784,9452,9075,
8663,8212,7740,7242,6732,6213,5689,5156,4625,4087,3552,3017,2487,1958,1436,911,391,-123,-624,-1120,
-1609,-2093,-2561,-3021,-3466,-3904,-4333,-4753,-5170,-5579,-5978,-6370,-6750,-7119,-7478,-7818,-8140,-8440,-8716,-8963,
-9185,-9370,-9520,-9630,-9696,-9710,-9672,-9571,-9403,-9157,-8824,-8407,-7896,-7300,-6615,-5849,-5019,-4133,-3215,-2287,
-1367,-474,370,1150,1842,2440,2936,3321,3594,3759,3819,3785,3660,3458,3185,2853,2475,2060,1619,1167,
704,241,-210,-642,-1049,-1429,-1767,-2062,-2303,-2488,-2605,-2648,-2611,-2488,-2276,-1969,-1568,-1075,-491,180,
932,1740,2596,3486,4387,5280,6149,6974,7734,8414,9000,9483,9859,10128,10288,10349,10311,10193,9998,9743,
9437,9080,8682,8254,7798,7320,6824,6311,5788,5256,4714,4174,3634,3099,2558,2027,1501,982,472,-31,
-530,-1022,-1510,-1988,-2457,-2918,-3374,-3820,-4260,-4690,-5110,-5518,-5918,-6306,-6685,-7051,-7399,-7735,-8055,-8354,
-8641,-8899,-9133,-9334,-9501,-9629,-9713,-9753,-9731,-9646,-9494,-9266,-8956,-8562,-8080,-7507,-6851,-6116,-5307,-4447,
-3542,-2618,-1686,-779,88,897,1629,2267,2807,3232,3549,3754,3855,3858,3768,3596,3352,3049,2693,2297,
1871,1421,963,499,40,-398,-815,-1205,-1559,-1868,-2122,-2321,-2458,-2526,-2514,-2422,-2242,-1972,-1605,-1144,
-594,48,770,1564,2408,3287,4187,5086,5960,6797,7576,8281,8897,9418,9834,10146,10348,10449,10454,10373,
10209,9976,9680,9334,8944,8518,8063,7588,7089,6579,6058,5536,5005,4470,3934,3398,2861,2327,1797,1271,
747,224,-284,-785,-1276,-1763,-2239,-2702,-3154,-3602,-4038,-4463,-4884,-5303,-5712,-6112,-6499,-6881,-7244,-7595,
-7927,-8242,-8530,-8796,-9031,-9243,-9419,-9558,-9659,-9712,-9715,-9664,-9547,-9357,-9090,-8738,-8292,-7759,-7137,-6430,
-5646,-4802,-3913,-2992,-2069,-1154,-278,549,1306,1980,2551,3022,3382,3630,3769,3809,3753,3613,3395,3113,
2776,2396,1979,1543,1091,638,185,-257,-678,-1074,-1439,-1762,-2039,-2262,-2423,-2515,-2531,-2461,-2312,-2065,
-1732,-1302,-781,-173,522,1287,2112,2979,3868,4766,5657,6508,7313,8046,8696,9249,9696,10038,10273,10401,
10433,10376,10238,10030,9763,9443,9077,8673,8233,7767,7282,6777,6258,5729,5193,4652,4111,3574,3039,2507,
1975,1453,935,429,-80,-577,-1072,-1562,-2046,-2518,-2981,-3433,-3880,-4314,-4742,-5159,-5567,-5962,-6346,-6724,
-7088,-7440,-7775,-8093,-8396,-8676,-8935,-9159,-9356,-9512,-9628,-9700,-9720,-9684,-9583,-9411,-9167,-8841,-8432,-7934,
-7345,-6674,-5924,-5107,-4238,-3332,-2405,-1485,-587,264,1052,1755,2367,2874,3273,3561,3743,3821,3801,3692,
3505,3248,2934,2571,2170,1738,1287,830,372,-77,-508,-913,-1288,-1627,-1917,-2156,-2335,-2451,-2495,-2461,
-2344,-2137,-1840,-1448,-961,-382,282,1026,1832,2685,3568,4462,5353,6217,7033,7794,8474,9068,9561,9949,
10226,10404,10475,10456,10348,10167,9916,9606,9246,8851,8421,7968,7490,6996,6486,5969,5444,4915,4378,3841,
3301,2763,2229,1699,1172,653,139,-368,-863,-1353,-1829,-2298,-2761,-3212,-3655,-4093,-4520,-4943,-5360,-5771,
-6167,-6554,-6925,-7286,-7627,-7954,-8258,-8541,-8796,-9028,-9230,-9400,-9535,-9626,-9667,-9658,-9591,-9456,-9246,-8956,
-8576,-8111,-7550,-6905,-6181,-5387,-4530,-3638,-2720,-1801,-900,-37,771,1503,2151,2696,3133,3462,3679,3792,
3804,3720,3561,3328,3029,2680,2289,1868,1428,975,521,69,-372,-789,-1179,-1534,-1848,-2109,-2316,-2456,
-2530,-2522,-2437,-2258,-1994,-1638,-1188,-644,-14,697,1477,2314,3190,4082,4976,5854,6691,7473,8187,8805,
9330,9747,10062,10270,10379,10388,10316,10163,9941,9661,9333,8955,8538,8091,7618,7125,6617,6098,5569,5035,
4497,3958,3426,2895,2366,1839,1318,801,292,-216,-720,-1212,-1702,-2181,-2651,-3108,-3556,-3997,-4427,-4849,
-5260,-5662,-6053,-6438,-6815,-7173,-7527,-7859,-8174,-8468,-8743,-8990,-9207,-9384,-9528,-9628,-9681,-9685,-9630,-9508,
-9321,-9056,-8704,-8273,-7751,-7137,-6441,-5671,-4839,-3954,-3042,-2119,-1202,-318,513,1273,1951,2532,3007,3374,
3632,3781,3833,3785,3654,3445,3171,2838,2462,2050,1613,1160,703,246,-197,-621,-1016,-1383,-1705,-1986,
-2209,-2376,-2472,-2499,-2446,-2305,-2074,-1753,-1336,-825,-226,455,1217,2034,2891,3777,4672,5553,6408,7212,
7953,8614,9180,9648,10008,10258,10406,10452,10404,10277,10075,9809,9487,9122,8720,8289,7827,7348,6853,6339,
5820,5292,4755,4221,3681,3137,2600,2063,1536,1015,497,-10,-511,-1005,-1489,-1963,-2432,-2890,-3345,-3787,
-4223,-4656,-5076,-5489,-5893,-6288,-6667,-7035,-7381,-7720,-8038,-8336,-8609,-8861,-9086,-9281,-9444,-9569,-9647,-9677,
-9649,-9562,-9404,-9172,-8853,-8450,-7953,-7373,-6706,-5964,-5157,-4298,-3397,-2484,-1572,-680,168,955,1666,2281,
2798,3205,3504,3691,3779,3767,3664,3483,3233,2924,2566,2168,1742,1300,846,391,-59,-493,-906,-1283,
-1627,-1923,-2169,-2358,-2480,-2528,-2502,-2389,-2190,-1901,-1521,-1046,-484,170,899,1693,2538,3416,4310,5195,
6057,6876,7633,8315,8909,9402,9791,10074,10258,10340,10331,10235,10061,9823,9527,9178,8788,8359,7902,7421,
6924,6412,5891,5361,4829,4293,3759,3225,2693,2164,1638,1114,594,79,-424,-926,-1422,-1910,-2384,-2848,
-3301,-3745,-4178,-4606,-5023,-5433,-5834,-6225,-6611,-6985,-7348,-7692,-8020,-8328,-8616,-8878,-9114,-9317,-9487,-9612,
-9700,-9736,-9729,-9656,-9522,-9317,-9031,-8659,-8206,-7658,-7025,-6307,-5519,-4670,-3780,-2862,-1945,-1038,-172,643,
1381,2031,2584,3033,3370,3602,3726,3753,3687,3536,3307,3021,2677,2293,1878,1441,990,535,84,-348,
-761,-1150,-1502,-1814,-2076,-2284,-2431,-2510,-2510,-2432,-2265,-2008,-1654,-1213,-678,-55,649,1419,2248,3116,
4003,4893,5770,6608,7395,8110,8743,9281,9716,10040,10260,10372,10391,10321,10171,9954,9674,9348,8972,8561,
8130,7664,7178,6676,6161,5633,5102,4563,4025,3482,2942,2407,1875,1354,836,324,-180,-677,-1169,-1652,
-2126,-2594,-3056,-3509,-3952,-4385,-4812,-5228,-5638,-6035,-6422,-6796,-7155,-7498,-7831,-8146,-8436,-8708,-8952,-9171,
-9361,-9514,-9623,-9689,-9700,-9654,-9544,-9366,-9111,-8772,-8344,-7831,-7232,-6552,-5799,-4981,-4115,-3214,-2300,-1395,
-513,320,1090,1778,2373,2860,3248,3519,3687,3752,3723,3606,3414,3153,2841,2475,2077,1650,1206,757,
308,-133,-555,-953,-1318,-1640,-1918,-2141,-2307,-2401,-2429,-2372,-2234,-2005,-1688,-1279,-778,-187,490,1239,
2047,2902,3780,4667,5540,6386,7183,7916,8569,9132,9592,9951,10207,10359,10411,10376,10255,10060,9802,9486,
9126,8722,8285,7823,7337,6836,6328,5807,5280,4747,4211,3676,3144,2608,2080,1549,1024,501,-13,-518,
-1017,-1511,-1991,-2462,-2923,-3373,-3813,-4249,-4673,-5096,-5507,-5907,-6302,-6684,-7057,-7419,-7759,-8083,-8383,-8663,
-8918,-9146,-9339,-9498,-9617,-9693,-9726,-9701,-9622,-9471,-9248,-8946,-8554,-8074,-7511,-6855,-6123,-5321,-4464,-3568,
-2658,-1743,-856,0,790,1508,2133,2661,3081,3397,3601,3703,3705,3623,3451,3213,2911,2563,2173,1757,
1318,872,423,-19,-448,-851,-1228,-1569,-1864,-2113,-2304,-2427,-2485,-2462,-2356,-2164,-1878,-1503,-1034,-477,
165,887,1673,2507,3378,4264,5151,6013,6837,7602,8295,8896,9405,9805,10101,10286,10375,10370,10280,10116,
9887,9600,9262,8879,8463,8019,7552,7059,6554,6034,5502,4970,4434,3892,3356,2819,2286,1762,1242,729,
218,-288,-786,-1275,-1759,-2236,-2703,-3163,-3613,-4054,-4487,-4907,-5322,-5723,-6117,-6499,-6869,-7224,-7570,-7895,
-8204,-8496,-8762,-9002,-9211,-9389,-9530,-9626,-9676,-9671,-9605,-9474,-9274,-8996,-8638,-8187,-7655,-7039,-6338,-5571,
-4739,-3864,-2961,-2048,-1148,-284,535,1275,1939,2498,2957,3306,3551,3687,3727,3674,3537,3324,3048,2719,
2347,1935,1503,1059,608,162,-274,-693,-1078,-1429,-1740,-2002,-2207,-2355,-2434,-2439,-2364,-2203,-1953,-1612,
-1177,-653,-38,655,1421,2241,3098,3981,4863,5729,6561,7340,8056,8690,9226,9667,9998,10229,10356,10387,
10329,10193,9976,9704,9377,9004,8597,8155,7689,7208,6709,6199,5680,5155,4623,4088,3549,3016,2483,1951,
1423,898,383,-129,-630,-1122,-1608,-2085,-2550,-3007,-3454,-3894,-4325,-4753,-5171,-5584,-5984,-6374,-6754,-7124,
-7475,-7812,-8123,-8418,-8685,-8933,-9147,-9333,-9483,-9595,-9661,-9681,-9642,-9546,-9374,-9129,-8801,-8387,-7884,-7293,
-6618,-5867,-5051,-4189,-3293,-2385,-1482,-602,229,1000,1691,2289,2786,3177,3462,3638,3707,3688,3578,3391,
3134,2819,2461,2062,1639,1201,753,305,-137,-558,-958,-1324,-1656,-1941,-2173,-2348,-2456,-2490,-2447,-2319,
-2103,-1797,-1400,-911,-333,326,1059,1858,2700,3571,4456,5331,6179,6985,7725,8388,8960,9435,9803,10068,
10229,10293,10264,10155,9976,9729,9431,9080,8689,8263,7810,7332,6836,6325,5801,5271,4736,4201,3667,3130,
2599,2070,1548,1029,516,7,-498,-998,-1488,-1973,-2447,-2911,-3367,-3812,-4251,-4676,-5094,-5502,-5901,-6289,
-6667,-7032,-7385,-7724,-8046,-8352,-8637,-8894,-9122,-9320,-9482,-9607,-9686,-9715,-9691,-9605,-9455,-9230,-8932,-8546,
-8076,-7518,-6876,-6153,-5365,-4520,-3632,-2725,-1816,-921,-70,726,1449,2080,2615,3044,3365,3584,3695,3709,
3634,3479,3251,2962,2621,2237,1824,1389,946,498,57,-372,-776,-1153,-1488,-1786,-2032,-2223,-2351,-2409,
-2396,-2298,-2109,-1837,-1470,-1012,-462,172,884,1662,2492,3355,4234,5110,5967,6788,7551,8245,8858,9371,
9783,10090,10290,10393,10400,10317,10157,9930,9639,9304,8923,8513,8068,7602,7115,6616,6105,5585,5056,4523,
3984,3445,2908,2377,1844,1320,798,286,-222,-719,-1207,-1688,-2162,-2627,-3082,-3527,-3965,-4398,-4822,-5241,
-5645,-6046,-6431,-6804,-7163,-7506,-7835,-8140,-8423,-8688,-8925,-9135,-9310,-9449,-9551,-9603,-9607,-9551,-9431,-9241,
-8968,-8615,-8173,-7647,-7033,-6342,-5572,-4747,-3878,-2979,-2073,-1178,-312,503,1254,1922,2493,2966,3328,3583,
3735,3785,3739,3612,3410,3143,2820,2454,2056,1633,1193,750,305,-126,-541,-929,-1286,-1599,-1869,-2081,
-2234,-2317,-2327,-2258,-2105,-1859,-1531,-1107,-593,7,689,1440,2249,3100,3973,4855,5720,6553,7338,8052,
8685,9226,9668,10007,10244,10378,10418,10365,10237,10038,9779,9460,9096,8694,8258,7793,7308,6805,6291,5764,
5234,4699,4166,3631,3098,2563,2036,1509,987,473,-40,-548,-1048,-1541,-2025,-2501,-2963,-3415,-3859,-4294,
-4719,-5135,-5540,-5940,-6332,-6711,-7077,-7433,-7772,-8095,-8395,-8675,-8926,-9145,-9334,-9486,-9598,-9666,-9685,-9647,
-9549,-9383,-9147,-8826,-8426,-7936,-7358,-6697,-5962,-5161,-4307,-3414,-2508,-1605,-728,110,884,1578,2184,2689,
3089,3381,3570,3659,3648,3552,3375,3132,2828,2476,2084,1667,1231,785,343,-93,-513,-908,-1275,-1602,
-1885,-2119,-2293,-2404,-2442,-2406,-2282,-2072,-1774,-1383,-898,-327,329,1055,1844,2676,3545,4421,5295,6139,
6945,7690,8360,8945,9430,9810,10085,10257,10330,10311,10207,10028,9787,9487,9140,8757,8338,7891,7420,6930,
6427,5911,5386,4856,4319,3780,3241,2705,2173,1646,1119,605,94,-406,-903,-1388,-1871,-2342,-2807,-3264,
-3712,-4147,-4579,-5002,-5420,-5825,-6217,-6597,-6963,-7318,-7656,-7978,-8280,-8558,-8819,-9051,-9252,-9420,-9551,-9643,
-9681,-9669,-9594,-9455,-9239,-8946,-8568,-8107,-7558,-6928,-6216,-5442,-4605,-3733,-2833,-1930,-1044,-192,609,1335,
1977,2522,2964,3300,3525,3651,3677,3611,3467,3251,2970,2639,2267,1861,1436,997,552,113,-314,-721,
-1099,-1439,-1739,-1989,-2183,-2313,-2374,-2361,-2268,-2091,-1820,-1461,-1015,-475,147,852,1619,2439,3297,4174,
5049,5901,6719,7484,8175,8783,9296,9714,10023,10236,10347,10362,10292,10144,9925,9650,9318,8940,8527,8085,
7616,7128,6627,6113,5589,5062,4533,4000,3468,2935,2404,1874,1351,827,312,-196,-700,-1199,-1687,-2165,
-2631,-3087,-3536,-3975,-4402,-4827,-5239,-5645,-6043,-6432,-6807,-7174,-7523,-7856,-8170,-8464,-8730,-8972,-9180,-9356,
-9497,-9598,-9654,-9660,-9608,-9495,-9312,-9055,-8717,-8290,-7782,-7180,-6498,-5747,-4931,-4066,-3175,-2267,-1376,-510,
307,1061,1727,2312,2789,3167,3430,3595,3655,3626,3507,3316,3057,2742,2381,1987,1565,1129,688,247,
-181,-590,-982,-1335,-1651,-1920,-2135,-2292,-2384,-2401,-2338,-2189,-1957,-1629,-1211,-710,-113,556,1303,2100,
2944,3810,4685,5548,6381,7163,7890,8529,9080,9534,9883,10121,10264,10307,10266,10141,9943,9685,9375,9019,
8624,8199,7744,7267,6769,6259,5739,5212,4676,4140,3600,3062,2529,1999,1477,957,442,-65,-566,-1062,
-1549,-2030,-2504,-2966,-3422,-3869,-4305,-4733,-5151,-5565,-5962,-6350,-6726,-7088,-7439,-7773,-8090,-8388,-8667,-8917,
-9144,-9339,-9498,-9619,-9694,-9717,-9689,-9592,-9434,-9200,-8886,-8489,-8007,-7442,-6793,-6070,-5282,-4440,-3557,-2662,
-1762,-884,-48,734,1441,2055,2576,2990,3300,3500,3603,3607,3526,3365,3133,2842,2505,2124,1716,1286,
849,406,-26,-447,-843,-1207,-1533,-1818,-2050,-2224,-2336,-2375,-2339,-2220,-2016,-1723,-1338,-866,-305,345,
1063,1848,2675,3535,4403,5271,6111,6912,7654,8323,8901,9388,9773,10058,10236,10321,10310,10216,10043,9808,
9513,9171,8783,8360,7911,7441,6951,6450,5937,5415,4885,4355,3823,3289,2756,2226,1693,1169,648,136,
-371,-873,-1364,-1846,-2317,-2779,-3232,-3678,-4114,-4541,-4961,-5375,-5779,-6175,-6559,-6936,-7294,-7635,-7957,-8265,
-8545,-8805,-9032,-9232,-9396,-9527,-9615,-9660,-9652,-9588,-9454,-9254,-8971,-8609,-8160,-7623,-7002,-6304,-5529,-4702,
-3830,-2932,-2036,-1147,-296,507,1238,1887,2441,2898,3246,3492,3629,3670,3620,3487,3277,3010,2688,2321,
1923,1503,1070,632,196,-225,-627,-1004,-1348,-1649,-1904,-2098,-2238,-2305,-2299,-2210,-2039,-1777,-1428,-986,
-457,154,845,1604,2413,3259,4126,4996,5849,6663,7431,8126,8739,9258,9679,9993,10205,10314,10337,10271,
10130,9919,9644,9322,8958,8552,8117,7655,7170,6664,6150,5624,5094,4559,4020,3485,2947,2416,1889,1367,
848,334,-176,-675,-1170,-1661,-2142,-2616,-3080,-3534,-3977,-4408,-4833,-5250,-5655,-6053,-6440,-6812,-7176,-7521,
-7854,-8170,-8467,-8737,-8983,-9201,-9386,-9533,-9641,-9698,-9705,-9659,-9548,-9369,-9121,-8786,-8369,-7866,-7281,-6616,
-5877,-5073,-4222,-3339,-2437,-1546,-676,145,905,1586,2176,2665,3056,3336,3514,3590,3572,3471,3296,3051,
2750,2398,2014,1601,1171,734,300,-129,-538,-920,-1273,-1586,-1854,-2069,-2224,-2314,-2334,-2275,-2135,-1905,
-1588,-1181,-681,-96,570,1307,2101,2933,3794,4660,5518,6347,7127,7852,8494,9052,9509,9867,10122,10276,
10332,10297,10179,9991,9735,9430,9075,8685,8254,7802,7329,6840,6334,5819,5297,4766,4232,3696,3160,2628,
2094,1560,1038,520,9,-498,-991,-1480,-1961,-2433,-2892,-3345,-3787,-4227,-4656,-5077,-5491,-5893,-6289,-6672,
-7040,-7396,-7728,-8046,-8345,-8621,-8874,-9096,-9290,-9450,-9569,-9650,-9679,-9660,-9577,-9424,-9200,-8900,-8511,-8035,
-7478,-6833,-6115,-5331,-4494,-3622,-2730,-1835,-958,-124,659,1370,1994,2521,2946,3266,3479,3592,3608,3535,
3382,3159,2878,2547,2176,1772,1350,916,482,53,-364,-756,-1125,-1454,-1742,-1978,-2158,-2271,-2321,-2287,
-2175,-1979,-1695,-1319,-857,-304,328,1039,1812,2632,3484,4352,5216,6061,6862,7606,8279,8868,9362,9754,
10044,10233,10326,10325,10246,10088,9867,9581,9250,8873,8462,8018,7553,7062,6557,6041,5520,4991,4460,3925,
3393,2862,2330,1806,1287,770,258,-251,-752,-1246,-1733,-2211,-2680,-3138,-3587,-4024,-4453,-4873,-5284,-5689,
-6080,-6466,-6836,-7194,-7543,-7870,-8179,-8467,-8730,-8969,-9173,-9345,-9481,-9570,-9614,-9604,-9544,-9416,-9217,-8946,
-8593,-8150,-7630,-7023,-6338,-5581,-4767,-3903,-3017,-2121,-1241,-387,411,1148,1799,2361,2821,3176,3429,3576,
3626,3585,3460,3265,3000,2686,2325,1932,1513,1082,646,212,-210,-612,-986,-1327,-1629,-1884,-2083,-2226,
-2296,-2299,-2218,-2055,-1802,-1462,-1031,-512,95,774,1526,2326,3165,4023,4885,5731,6548,7312,8013,8634,
9164,9595,9922,10147,10272,10302,10241,10106,9900,9631,9312,8951,8553,8120,7664,7188,6699,6190,5672,5145,
4611,4078,3541,3005,2469,1939,1409,891,376,-130,-629,-1121,-1606,-2084,-2554,-3011,-3463,-3906,-4342,-4768,
-5189,-5597,-5997,-6386,-6763,-7125,-7471,-7800,-8109,-8400,-8672,-8916,-9133,-9316,-9464,-9576,-9641,-9657,-9621,-9519,
-9346,-9098,-8773,-8362,-7868,-7285,-6624,-5894,-5098,-4255,-3379,-2491,-1599,-737,85,847,1534,2130,2634,3030,
3326,3513,3599,3592,3502,3330,3094,2800,2461,2082,1678,1254,819,386,-40,-451,-837,-1191,-1509,-1779,
-2000,-2160,-2255,-2280,-2228,-2093,-1874,-1565,-1171,-685,-114,542,1265,2046,2873,3725,4588,5441,6268,7051,
7770,8418,8975,9440,9802,10064,10223,10291,10268,10166,9990,9747,9452,9102,8712,8292,7839,7365,6873,6366,
5850,5324,4797,4267,3734,3200,2670,2142,1617,1094,575,60,-444,-949,-1439,-1925,-2397,-2863,-3318,-3761,
-4195,-4621,-5038,-5450,-5848,-6242,-6621,-6992,-7346,-7688,-8010,-8315,-8591,-8844,-9072,-9264,-9422,-9544,-9622,-9649,
-9625,-9542,-9397,-9183,-8888,-8511,-8048,-7498,-6869,-6160,-5387,-4556,-3690,-2796,-1904,-1031,-191,593,1307,1936,
2472,2907,3237,3462,3587,3618,3559,3414,3203,2931,2603,2236,1840,1422,993,561,135,-279,-669,-1035,
-1361,-1647,-1887,-2072,-2191,-2243,-2220,-2115,-1927,-1649,-1282,-826,-286,339,1041,1802,2615,3455,4316,5175,
6013,6813,7565,8242,8839,9340,9745,10037,10236,10333,10340,10261,10105,9883,9604,9275,8906,8497,8061,7598,
7115,6618,6105,5582,5051,4516,3978,3443,2906,2370,1841,1316,796,285,-221,-720,-1214,-1700,-2177,-2647,
-3110,-3559,-4005,-4439,-4867,-5283,-5691,-6085,-6471,-6842,-7203,-7543,-7872,-8180,-8467,-8732,-8973,-9184,-9362,-9503,
-9603,-9656,-9655,-9599,-9477,-9286,-9020,-8671,-8241,-7726,-7127,-6452,-5706,-4903,-4053,-3174,-2287,-1407,-552,251,
994,1656,2228,2701,3070,3332,3496,3558,3532,3421,3236,2986,2683,2330,1950,1540,1114,683,252,-168,
-566,-946,-1288,-1589,-1847,-2048,-2187,-2262,-2265,-2187,-2030,-1783,-1451,-1028,-519,77,751,1490,2283,3120,
3972,4831,5676,6488,7253,7951,8570,9106,9543,9879,10112,10249,10290,10245,10118,9923,9663,9350,8990,8592,
8158,7704,7226,6733,6225,5708,5183,4657,4125,3591,3059,2525,1994,1466,943,423,-88,-596,-1094,-1584,
-2064,-2536,-2994,-3449,-3892,-4323,-4748,-5168,-5577,-5981,-6372,-6753,-7118,-7474,-7807,-8125,-8420,-8691,-8938,-9155,
-9339,-9489,-9601,-9670,-9689,-9653,-9557,-9397,-9164,-8850,-8450,-7966,-7399,-6747,-6023,-5235,-4397,-3525,-2637,-1750,
-889,-64,700,1390,1994,2504,2910,3216,3414,3514,3519,3438,3279,3050,2765,2430,2056,1656,1236,810,
381,-41,-449,-832,-1186,-1504,-1777,-1999,-2166,-2265,-2296,-2249,-2122,-1906,-1603,-1211,-734,-170,476,1195,
1970,2789,3640,4498,5352,6181,6967,7694,8353,8918,9392,9761,10032,10201,10271,10257,10162,9985,9753,9463,
9126,8747,8335,7888,7422,6933,6430,5917,5391,4859,4326,3788,3257,2723,2195,1669,1150,635,124,-381,
-878,-1371,-1857,-2333,-2799,-3258,-3707,-4147,-4579,-4999,-5413,-5812,-6203,-6581,-6951,-7305,-7643,-7965,-8269,-8552,
-8808,-9046,-9245,-9412,-9541,-9624,-9663,-9644,-9572,-9430,-9219,-8933,-8566,-8116,-7583,-6967,-6275,-5516,-4703,-3845,
-2969,-2080,-1208,-371,419,1142,1778,2324,2768,3111,3351,3487,3531,3483,3356,3156,2894,2578,2225,1832,
1425,999,568,142,-269,-660,-1024,-1353,-1636,-1876,-2057,-2178,-2231,-2208,-2109,-1925,-1653,-1295,-844,-310,
310,1002,1760,2564,3402,4254,5107,5943,6737,7481,8157,8752,9256,9663,9969,10173,10278,10290,10221,10072,
9854,9579,9250,8880,8473,8036,7575,7097,6600,6092,5574,5051,4523,3988,3455,2920,2383,1853,1329,807,
290,-219,-723,-1218,-1703,-2178,-2644,-3100,-3550,-3994,-4426,-4847,-5264,-5674,-6073,-6462,-6837,-7198,-7545,-7873,
-8183,-8471,-8732,-8974,-9183,-9359,-9501,-9604,-9661,-9669,-9619,-9510,-9329,-9078,-8743,-8326,-7822,-7236,-6569,-5832,
-5037,-4196,-3323,-2440,-1563,-713,95,841,1511,2092,2580,2962,3242,3421,3498,3486,3389,3216,2977,2683,
2343,1968,1565,1153,725,301,-116,-514,-888,-1228,-1532,-1788,-1991,-2133,-2212,-2216,-2148,-1989,-1749,-1418,
-1001,-497,91,753,1484,2273,3100,3949,4804,5646,6457,7223,7921,8547,9080,9517,9856,10090,10231,10275,
10234,10115,9925,9674,9369,9019,8629,8203,7752,7275,6783,6274,5758,5234,4703,4169,3637,3106,2576,2050,
1525,1006,493,-19,-522,-1021,-1509,-1996,-2471,-2933,-3386,-3830,-4266,-4692,-5107,-5514,-5911,-6300,-6675,-7040,
-7393,-7729,-8049,-8346,-8622,-8873,-9096,-9285,-9443,-9558,-9627,-9649,-9619,-9527,-9372,-9143,-8842,-8455,-7985,-7436,
-6803,-6097,-5323,-4498,-3640,-2756,-1876,-1013,-186,585,1283,1901,2422,2841,3161,3377,3494,3518,3453,3312,
3100,2827,2503,2143,1749,1338,916,492,74,-330,-710,-1060,-1374,-1648,-1870,-2032,-2131,-2166,-2121,-1999,
-1788,-1492,-1110,-635,-76,560,1268,2032,2846,3682,4532,5377,6197,6977,7697,8350,8918,9394,9767,10045,
10219,10296,10283,10187,10021,9786,9495,9157,8777,8363,7924,7457,6976,6479,5967,5448,4921,4392,3854,3320,
2783,2251,1719,1197,679,167,-340,-838,-1329,-1810,-2288,-2747,-3206,-3654,-4094,-4529,-4954,-5364,-5772,-6167,
-6550,-6921,-7273,-7615,-7938,-8237,-8518,-8777,-9006,-9207,-9375,-9510,-9600,-9643,-9635,-9569,-9436,-9236,-8957,-8601,
-8157,-7633,-7020,-6339,-5586,-4780,-3929,-3054,-2173,-1305,-463,326,1054,1700,2257,2716,3071,3324,3477,3529,
3493,3376,3191,2939,2631,2284,1906,1500,1080,661,239,-172,-564,-929,-1258,-1550,-1792,-1978,-2102,-2159,
-2145,-2051,-1875,-1612,-1262,-825,-304,303,985,1728,2524,3354,4200,5049,5881,6680,7422,8102,8697,9209,
9619,9930,10143,10258,10283,10223,10088,9883,9617,9299,8936,8535,8103,7641,7159,6664,6155,5635,5111,4578,
4048,3512,2981,2450,1927,1399,879,360,-151,-654,-1152,-1643,-2122,-2598,-3058,-3508,-3949,-4383,-4807,-5225,
-5629,-6026,-6412,-6786,-7151,-7503,-7833,-8149,-8439,-8709,-8951,-9163,-9342,-9486,-9586,-9644,-9649,-9603,-9496,-9319,
-9070,-8742,-8333,-7842,-7264,-6607,-5880,-5090,-4255,-3386,-2505,-1629,-778,31,779,1454,2042,2533,2925,3211,
3396,3486,3482,3395,3230,3001,2712,2379,2006,1609,1194,773,349,-63,-459,-831,-1171,-1474,-1735,-1942,
-2088,-2174,-2187,-2124,-1977,-1747,-1427,-1023,-528,47,704,1424,2201,3015,3857,4704,5548,6358,7129,7832,
8466,9011,9466,9816,10067,10221,10275,10242,10129,9947,9702,9403,9057,8673,8256,7810,7339,6854,6352,5840,
5311,4783,4251,3716,3177,2645,2112,1585,1060,550,37,-465,-964,-1454,-1936,-2410,-2876,-3332,-3781,-4220,
-4653,-5074,-5487,-5885,-6280,-6658,-7023,-7373,-7709,-8024,-8323,-8599,-8852,-9075,-9267,-9427,-9548,-9624,-9656,-9628,
-9542,-9387,-9164,-8862,-8480,-8014,-7464,-6835,-6132,-5370,-4551,-3696,-2821,-1946,-1087,-263,508,1206,1829,2353,
2783,3099,3325,3445,3475,3416,3280,3075,2808,2492,2135,1747,1339,919,496,80,-326,-709,-1064,-1379,
-1655,-1879,-2049,-2153,-2191,-2154,-2038,-1837,-1551,-1176,-716,-167,460,1158,1919,2722,3557,4410,5251,6076,
6861,7587,8245,8823,9309,9699,9985,10177,10269,10275,10198,10044,9823,9542,9214,8842,8435,7994,7531,7049,
6549,6043,5523,4998,4474,3943,3409,2880,2349,1822,1299,776,264,-246,-750,-1243,-1730,-2207,-2675,-3132,
-3579,-4015,-4445,-4865,-5281,-5687,-6081,-6466,-6839,-7201,-7542,-7870,-8177,-8462,-8719,-8955,-9154,-9322,-9453,-9544,
-9589,-9586,-9523,-9400,-9209,-8939,-8594,-8164,-7650,-7055,-6382,-5640,-4841,-3998,-3131,-2257,-1393,-555,232,959,
1605,2165,2627,2993,3250,3410,3473,3447,3340,3161,2913,2614,2271,1897,1494,1082,660,244,-167,-552,
-917,-1248,-1538,-1779,-1971,-2103,-2166,-2157,-2070,-1898,-1645,-1299,-868,-354,244,916,1653,2438,3258,4101,
4946,5772,6570,7319,8002,8604,9118,9535,9855,10072,10195,10222,10167,10035,9833,9576,9263,8906,8515,8087,
7637,7162,6668,6163,5646,5114,4586,4050,3517,2984,2451,1922,1400,878,368,-140,-642,-1137,-1627,-2108,
-2580,-3042,-3498,-3941,-4379,-4805,-5222,-5630,-6027,-6413,-6786,-7146,-7492,-7822,-8135,-8426,-8698,-8940,-9159,-9340,
-9491,-9594,-9659,-9673,-9632,-9525,-9357,-9113,-8792,-8390,-7906,-7343,-6698,-5984,-5209,-4382,-3526,-2650,-1780,-931,
-120,633,1315,1908,2413,2815,3116,3312,3415,3425,3349,3197,2980,2704,2383,2019,1628,1219,801,381,
-28,-424,-795,-1137,-1442,-1699,-1908,-2059,-2142,-2158,-2100,-1958,-1735,-1423,-1024,-542,27,674,1388,2159,
2969,3802,4647,5480,6286,7050,7753,8388,8934,9389,9746,10007,10164,10230,10206,10105,9929,9688,9389,9047,
8662,8246,7802,7336,6846,6345,5834,5318,4793,4263,3729,3197,2665,2134,1604,1081,560,49,-460,-958,
-1447,-1932,-2405,-2867,-3322,-3765,-4201,-4630,-5050,-5464,-5867,-6262,-6642,-7011,-7363,-7701,-8019,-8319,-8592,-8842,
-9063,-9258,-9415,-9536,-9615,-9648,-9627,-9549,-9406,-9195,-8903,-8533,-8078,-7542,-6923,-6231,-5474,-4666,-3816,-2946,
-2073,-1215,-393,383,1090,1717,2255,2696,3037,3271,3410,3453,3411,3286,3089,2836,2529,2183,1804,1405,
994,577,165,-233,-612,-962,-1281,-1555,-1782,-1952,-2062,-2100,-2067,-1951,-1757,-1477,-1106,-649,-110,509,
1199,1950,2747,3575,4415,5255,6074,6857,7588,8246,8824,9312,9699,9988,10181,10276,10282,10204,10056,9838,
9566,9244,8875,8471,8037,7578,7097,6596,6087,5565,5038,4504,3972,3436,2904,2373,1847,1323,805,289,
-217,-722,-1217,-1707,-2187,-2660,-3119,-3574,-4017,-4448,-4872,-5289,-5692,-6086,-6469,-6844,-7202,-7545,-7876,-8183,
-8474,-8739,-8975,-9186,-9360,-9498,-9594,-9644,-9643,-9585,-9465,-9279,-9020,-8684,-8267,-7764,-7181,-6524,-5797,-5008,
-4179,-3317,-2445,-1579,-740,54,790,1448,2016,2496,2871,3148,3322,3401,3392,3300,3135,2903,2617,2288,
1923,1529,1118,703,291,-114,-498,-859,-1185,-1473,-1715,-1906,-2032,-2099,-2090,-2007,-1841,-1591,-1251,-829,
-316,273,942,1670,2452,3269,4103,4943,5769,6560,7308,7991,8600,9122,9546,9875,10106,10235,10273,10227,
10101,9905,9649,9339,8984,8592,8169,7720,7250,6761,6258,5744,5223,4698,4166,3631,3095,2564,2034,1503,
983,464,-49,-549,-1047,-1533,-2015,-2486,-2949,-3405,-3846,-4283,-4710,-5131,-5542,-5947,-6336,-6713,-7078,-7427,
-7761,-8073,-8366,-8635,-8881,-9095,-9284,-9435,-9546,-9617,-9635,-9604,-9511,-9352,-9122,-8812,-8416,-7944,-7388,-6755,
-6050,-5282,-4463,-3614,-2748,-1882,-1033,-224,533,1217,1823,2332,2748,3058,3271,3385,3403,3339,3199,2988,
2721,2406,2051,1669,1269,855,440,33,-361,-732,-1074,-1375,-1641,-1850,-2003,-2091,-2109,-2053,-1917,-1696,
-1389,-1000,-524,40,674,1384,2145,2952,3781,4623,5453,6266,7030,7735,8371,8918,9378,9740,10002,10170,
10243,10228,10133,9966,9735,9448,9112,8735,8323,7881,7416,6930,6431,5917,5395,4872,4343,3810,3281,2749,
2222,1697,1175,656,145,-364,-863,-1361,-1844,-2324,-2787,-3245,-3693,-4133,-4560,-4981,-5390,-5791,-6181,-6566,
-6931,-7288,-7631,-7953,-8254,-8534,-8792,-9023,-9218,-9381,-9508,-9588,-9623,-9607,-9536,-9400,-9195,-8917,-8562,-8120,
-7601,-6998,-6323,-5581,-4783,-3944,-3083,-2213,-1359,-531,245,958,1591,2139,2587,2937,3186,3339,3395,3364,
3254,3072,2825,2530,2190,1819,1424,1015,600,193,-206,-584,-930,-1248,-1521,-1749,-1919,-2032,-2077,-2049,
-1940,-1751,-1477,-1116,-670,-137,476,1155,1898,2685,3505,4338,5172,5988,6766,7492,8150,8736,9226,9620,
9921,10117,10220,10233,10161,10014,9802,9533,9211,8847,8449,8017,7566,7092,6600,6095,5577,5055,4524,3991,
3455,2923,2389,1861,1338,817,302,-203,-707,-1198,-1683,-2162,-2633,-3096,-3547,-3988,-4423,-4847,-5266,-5673,
-6072,-6457,-6830,-7189,-7532,-7857,-8166,-8451,-8713,-8951,-9162,-9338,-9481,-9582,-9635,-9641,-9592,-9477,-9299,-9044,
-8712,-8299,-7803,-7227,-6572,-5856,-5077,-4253,-3400,-2534,-1673,-834,-39,700,1365,1946,2431,2817,3106,3290,
3381,3381,3299,3142,2921,2641,2321,1961,1576,1172,761,349,-53,-438,-801,-1129,-1419,-1664,-1859,-1994,
-2063,-2062,-1982,-1823,-1582,-1255,-841,-342,238,896,1613,2388,3194,4027,4860,5683,6475,7224,7904,8517,
9039,9474,9805,10044,10184,10235,10197,10085,9901,9654,9353,9004,8617,8197,7744,7274,6788,6289,5773,5252,
4727,4198,3666,3135,2607,2078,1551,1028,510,-3,-508,-1010,-1501,-1985,-2459,-2921,-3375,-3818,-4253,-4680,
-5097,-5506,-5905,-6296,-6675,-7043,-7393,-7729,-8045,-8340,-8613,-8859,-9078,-9264,-9414,-9528,-9595,-9615,-9586,-9492,
-9338,-9114,-8812,-8434,-7970,-7424,-6801,-6104,-5344,-4536,-3690,-2827,-1961,-1115,-306,454,1141,1751,2269,2693,
3014,3236,3361,3393,3338,3209,3007,2749,2440,2094,1715,1321,912,499,95,-293,-664,-1002,-1309,-1569,
-1782,-1939,-2032,-2055,-2006,-1878,-1664,-1369,-983,-515,37,665,1363,2115,2909,3733,4568,5396,6201,6966,
7677,8317,8875,9341,9711,9983,10156,10235,10228,10136,9978,9752,9469,9140,8768,8363,7930,7469,6990,6491,
5982,5462,4934,4402,3871,3334,2800,2271,1743,1222,704,189,-316,-817,-1310,-1795,-2271,-2740,-3201,-3651,
-4096,-4526,-4950,-5364,-5768,-6160,-6542,-6908,-7264,-7602,-7924,-8228,-8509,-8764,-8997,-9197,-9366,-9494,-9585,-9624,
-9614,-9543,-9411,-9213,-8937,-8584,-8148,-7633,-7038,-6372,-5637,-4847,-4016,-3160,-2299,-1444,-622,158,874,1513,
2064,2521,2881,3137,3300,3361,3340,3238,3062,2825,2539,2205,1841,1449,1047,632,228,-173,-547,-898,
-1214,-1492,-1721,-1898,-2014,-2064,-2039,-1939,-1757,-1492,-1140,-704,-187,415,1091,1821,2603,3416,4247,5077,
5887,6667,7397,8058,8645,9143,9550,9859,10068,10186,10211,10154,10017,9815,9552,9238,8876,8479,8052,7600,
7123,6633,6130,5615,5093,4568,4038,3506,2972,2442,1913,1383,861,343,-170,-672,-1168,-1659,-2140,-2609,
-3069,-3521,-3963,-4397,-4823,-5241,-5648,-6048,-6436,-6812,-7176,-7522,-7851,-8164,-8449,-8713,-8952,-9161,-9337,-9479,
-9579,-9638,-9645,-9601,-9494,-9322,-9077,-8757,-8349,-7869,-7300,-6656,-5945,-5170,-4353,-3506,-2642,-1788,-953,-156,
580,1249,1829,2324,2719,3013,3210,3310,3320,3249,3100,2884,2616,2298,1942,1566,1168,762,355,-44,
-429,-788,-1115,-1407,-1654,-1851,-1988,-2061,-2064,-1989,-1839,-1601,-1280,-872,-382,192,837,1551,2313,3116,
3941,4774,5597,6389,7140,7831,8449,8979,9419,9760,10009,10154,10210,10179,10076,9900,9663,9366,9028,8647,
8236,7789,7327,6839,6340,5828,5309,4781,4250,3716,3189,2655,2125,1601,1082,566,53,-451,-951,-1443,
-1928,-2404,-2870,-3329,-3777,-4215,-4642,-5059,-5470,-5872,-6260,-6637,-7002,-7352,-7686,-8002,-8302,-8577,-8828,-9049,
-9243,-9399,-9518,-9589,-9616,-9588,-9502,-9349,-9132,-8838,-8465,-8008,-7477,-6865,-6181,-5431,-4635,-3801,-2943,-2082,
-1240,-429,331,1027,1641,2166,2596,2929,3161,3299,3340,3302,3180,2991,2740,2441,2103,1733,1340,937,
530,125,-263,-631,-970,-1275,-1533,-1749,-1904,-2001,-2029,-1984,-1856,-1653,-1360,-985,-525,20,642,1330,
2077,2867,3687,4515,5338,6141,6903,7611,8255,8817,9292,9673,9952,10136,10228,10228,10148,9996,9772,9496,
9171,8804,8397,7963,7509,7031,6536,6033,5517,4996,4468,3936,3402,2872,2339,1810,1283,762,248,-261,
-761,-1254,-1742,-2216,-2686,-3144,-3594,-4035,-4468,-4890,-5309,-5713,-6111,-6494,-6865,-7223,-7564,-7887,-8190,-8473,
-8726,-8960,-9159,-9330,-9460,-9552,-9597,-9595,-9534,-9413,-9220,-8956,-8615,-8189,-7685,-7103,-6441,-5716,-4935,-4113,
-3265,-2408,-1558,-740,41,757,1405,1962,2430,2801,3070,3241,3320,3306,3215,3051,2821,2543,2218,1860,
1475,1079,671,268,-126,-502,-853,-1172,-1451,-1684,-1861,-1977,-2035,-2014,-1921,-1743,-1484,-1137,-709,-194,
396,1064,1786,2559,3367,4193,5019,5832,6611,7341,8006,8598,9098,9511,9822,10039,10161,10194,10141,10018,
9823,9568,9262,8912,8521,8098,7650,7178,6687,6182,5667,5145,4618,4086,3559,3026,2497,1969,1448,927,
414,-99,-605,-1101,-1593,-2076,-2548,-3013,-3463,-3908,-4344,-4767,-5181,-5590,-5985,-6370,-6744,-7104,-7456,-7784,
-8095,-8388,-8655,-8895,-9108,-9289,-9434,-9537,-9597,-9607,-9565,-9459,-9291,-9053,-8741,-8347,-7875,-7318,-6689,-5989,
-5229,-4420,-3576,-2719,-1866,-1029,-234,512,1184,1776,2277,2681,2989,3197,3310,3332,3270,3135,2931,2670,
2365,2020,1642,1249,846,441,47,-339,-698,-1023,-1315,-1564,-1759,-1899,-1974,-1983,-1914,-1770,-1538,-1224,
-825,-340,227,864,1569,2327,3124,3940,4769,5584,6376,7125,7812,8432,8968,9413,9764,10017,10171,10234,
10210,10107,9932,9693,9406,9067,8692,8280,7839,7376,6897,6400,5890,5374,4847,4316,3783,3249,2714,2185,
1656,1130,612,99,-406,-906,-1398,-1882,-2359,-2823,-3280,-3728,-4167,-4601,-5024,-5437,-5841,-6231,-6612,-6976,
-7332,-7665,-7982,-8277,-8554,-8802,-9026,-9220,-9379,-9503,-9583,-9616,-9598,-9519,-9378,-9171,-8884,-8518,-8076,-7551,
-6948,-6276,-5537,-4749,-3921,-3076,-2219,-1379,-568,194,894,1518,2056,2497,2842,3088,3238,3291,3266,3155,
2981,2741,2453,2124,1761,1378,982,578,182,-204,-571,-910,-1212,-1477,-1689,-1848,-1945,-1974,-1931,-1812,
-1610,-1324,-954,-500,34,651,1331,2072,2853,3665,4491,5312,6108,6873,7580,8222,8784,9259,9638,9923,
10111,10206,10212,10141,9993,9783,9509,9190,8824,8425,7992,7533,7056,6563,6056,5542,5020,4491,3962,3430,
2899,2370,1843,1318,800,283,-228,-734,-1234,-1722,-2200,-2675,-3132,-3584,-4026,-4458,-4881,-5296,-5700,-6095,
-6481,-6855,-7213,-7558,-7886,-8194,-8478,-8742,-8975,-9178,-9348,-9482,-9579,-9628,-9626,-9571,-9453,-9273,-9019,-8693,
-8279,-7790,-7217,-6571,-5860,-5086,-4272,-3429,-2579,-1729,-908,-126,598,1252,1821,2300,2681,2965,3149,3242,
3246,3168,3017,2802,2531,2215,1865,1490,1095,699,299,-88,-460,-809,-1124,-1400,-1632,-1812,-1931,-1987,
-1970,-1878,-1708,-1451,-1114,-690,-182,405,1060,1778,2545,3345,4164,4986,5795,6570,7300,7970,8564,9073,
9488,9806,10029,10157,10196,10149,10027,9835,9587,9283,8938,8556,8136,7692,7226,6739,6242,5730,5211,4685,
4154,3619,3087,2555,2030,1502,981,467,-41,-544,-1042,-1531,-2015,-2487,-2953,-3404,-3852,-4289,-4720,-5139,
-5549,-5945,-6339,-6708,-7072,-7419,-7750,-8061,-8353,-8619,-8864,-9080,-9266,-9415,-9525,-9594,-9611,-9575,-9479,-9320,
-9086,-8782,-8396,-7930,-7389,-6767,-6077,-5328,-4529,-3697,-2847,-1998,-1166,-366,379,1058,1661,2172,2587,2905,
3123,3248,3283,3230,3107,2914,2664,2363,2026,1658,1274,874,474,79,-301,-662,-990,-1282,-1528,-1730,
-1869,-1951,-1959,-1897,-1756,-1533,-1227,-836,-361,196,828,1523,2271,3059,3875,4695,5508,6297,7045,7735,
8353,8895,9342,9701,9962,10128,10201,10188,10096,9931,9706,9422,9087,8715,8307,7872,7413,6932,6436,5932,
5414,4894,4365,3838,3307,2776,2244,1718,1192,675,160,-347,-851,-1345,-1831,-2306,-2771,-3230,-3675,-4115,
-4544,-4966,-5379,-5782,-6178,-6560,-6928,-7285,-7620,-7943,-8242,-8522,-8771,-8998,-9187,-9350,-9469,-9554,-9588,-9573,
-9499,-9365,-9163,-8886,-8532,-8097,-7582,-6990,-6322,-5593,-4811,-3989,-3144,-2294,-1455,-645,118,820,1445,1990,
2440,2792,3046,3206,3269,3248,3148,2978,2746,2463,2135,1776,1397,1005,604,210,-178,-541,-884,-1190,
-1457,-1673,-1840,-1942,-1982,-1948,-1836,-1644,-1368,-1009,-568,-40,560,1233,1962,2732,3536,4357,5172,5976,
6738,7451,8099,8668,9154,9547,9839,10033,10141,10157,10093,9952,9748,9487,9175,8816,8429,8001,7552,7078,
6587,6084,5571,5047,4520,3989,3456,2923,2395,1865,1346,823,311,-197,-700,-1196,-1686,-2168,-2638,-3102,
-3554,-4000,-4436,-4859,-5277,-5681,-6076,-6460,-6832,-7187,-7531,-7855,-8164,-8450,-8711,-8948,-9157,-9329,-9470,-9564,
-9616,-9615,-9560,-9446,-9264,-9011,-8683,-8274,-7788,-7223,-6582,-5877,-5115,-4305,-3468,-2617,-1774,-952,-169,558,
1213,1787,2270,2658,2949,3142,3239,3250,3178,3035,2828,2561,2254,1905,1532,1143,747,346,-40,-413,
-763,-1081,-1360,-1594,-1773,-1902,-1961,-1953,-1868,-1707,-1461,-1134,-717,-223,354,1001,1715,2473,3268,4078,
4902,5707,6485,7218,7890,8492,9006,9434,9768,10003,10142,10197,10160,10051,9868,9627,9330,8989,8606,8193,
7751,7288,6804,6309,5801,5285,4757,4233,3703,3171,2638,2108,1581,1060,542,31,-476,-973,-1467,-1949,
-2421,-2883,-3337,-3783,-4217,-4647,-5069,-5479,-5880,-6269,-6647,-7011,-7359,-7690,-8005,-8296,-8565,-8811,-9023,-9207,
-9354,-9465,-9534,-9558,-9526,-9437,-9281,-9060,-8759,-8382,-7925,-7388,-6777,-6094,-5350,-4560,-3732,-2888,-2040,-1213,
-416,328,1011,1611,2131,2553,2879,3107,3239,3283,3243,3125,2939,2698,2402,2072,1711,1328,933,538,
147,-230,-589,-917,-1212,-1463,-1665,-1809,-1895,-1910,-1852,-1716,-1500,-1200,-820,-351,193,817,1505,2247,
3027,3832,4649,5462,6248,6997,7686,8314,8855,9312,9673,9939,10109,10189,10180,10097,9940,9719,9440,9118,
8750,8345,7915,7458,6978,6481,5974,5457,4933,4403,3874,3340,2808,2279,1754,1229,710,196,-314,-816,
-1311,-1803,-2280,-2753,-3214,-3667,-4105,-4535,-4958,-5373,-5775,-6169,-6549,-6917,-7274,-7612,-7934,-8237,-8519,-8774,
-9002,-9201,-9366,-9493,-9576,-9614,-9602,-9533,-9403,-9207,-8938,-8588,-8167,-7661,-7082,-6430,-5712,-4936,-4125,-3286,
-2443,-1603,-795,-27,678,1311,1859,2318,2683,2950,3118,3196,3188,3102,2942,2723,2446,2134,1780,1407,
1019,625,230,-151,-513,-852,-1152,-1418,-1635,-1800,-1904,-1945,-1913,-1807,-1620,-1350,-997,-558,-39,556,
1223,1943,2713,3508,4319,5130,5927,6688,7402,8052,8628,9115,9511,9815,10022,10133,10160,10101,9970,9769,
9509,9201,8848,8457,8037,7588,7123,6639,6135,5625,5105,4579,4049,3517,2985,2453,1924,1397,875,358,
-152,-654,-1152,-1640,-2122,-2592,-3055,-3506,-3952,-4389,-4814,-5233,-5642,-6042,-6429,-6802,-7161,-7507,-7831,-8138,
-8427,-8688,-8926,-9134,-9310,-9451,-9552,-9610,-9620,-9577,-9469,-9297,-9054,-8737,-8337,-7860,-7305,-6676,-5979,-5227,
-4427,-3600,-2758,-1917,-1097,-315,414,1075,1657,2149,2548,2852,3057,3166,3189,3129,2997,2798,2544,2245,
1908,1543,1160,769,377,-10,-380,-726,-1043,-1322,-1559,-1743,-1868,-1931,-1925,-1842,-1684,-1443,-1123,-714,
-225,344,984,1686,2439,3229,4038,4853,5658,6436,7164,7839,8440,8962,9389,9724,9965,10112,10169,10145,
10043,9871,9635,9345,9011,8636,8225,7788,7325,6843,6345,5838,5320,4798,4272,3741,3212,2682,2156,1627,
1108,590,77,-430,-930,-1426,-1910,-2389,-2854,-3310,-3756,-4196,-4619,-5040,-5450,-5851,-6239,-6619,-6982,-7333,
-7668,-7984,-8281,-8554,-8803,-9024,-9209,-9365,-9481,-9551,-9575,-9551,-9464,-9317,-9102,-8815,-8449,-8006,-7483,-6885,
-6214,-5485,-4702,-3882,-3047,-2203,-1374,-578,169,855,1464,1990,2422,2761,3000,3150,3201,3174,3067,2894,
2658,2379,2050,1695,1318,931,538,150,-226,-580,-907,-1198,-1451,-1652,-1803,-1889,-1909,-1856,-1727,-1513,
-1219,-846,-387,154,770,1448,2184,2956,3757,4568,5372,6160,6907,7598,8230,8776,9241,9610,9881,10060,
10150,10147,10070,9919,9705,9429,9110,8749,8351,7925,7474,7002,6511,6011,5493,4974,4446,3916,3385,2851,
2322,1795,1269,752,238,-267,-768,-1264,-1749,-2227,-2698,-3156,-3608,-4050,-4482,-4908,-5322,-5727,-6122,-6503,
-6873,-7226,-7566,-7882,-8185,-8461,-8721,-8952,-9154,-9320,-9452,-9540,-9584,-9575,-9515,-9391,-9200,-8935,-8598,-8181,
-7684,-7111,-6466,-5758,-4995,-4190,-3359,-2517,-1683,-875,-106,603,1242,1801,2272,2641,2918,3100,3189,3190,
3112,2963,2752,2485,2179,1834,1470,1082,691,298,-79,-444,-783,-1090,-1354,-1577,-1744,-1854,-1893,-1873,
-1769,-1588,-1326,-981,-551,-46,543,1198,1913,2675,3466,4276,5083,5874,6635,7349,7998,8576,9068,9473,
9779,9994,10112,10147,10098,9978,9786,9536,9232,8884,8498,8079,7634,7165,6679,6182,5671,5154,4633,4107,
3574,3048,2518,1991,1463,944,423,-87,-596,-1091,-1584,-2064,-2539,-3000,-3455,-3895,-4329,-4756,-5171,-5579,
-5977,-6364,-6739,-7099,-7445,-7777,-8084,-8371,-8638,-8877,-9085,-9260,-9401,-9504,-9562,-9572,-9531,-9432,-9266,-9031,
-8717,-8336,-7867,-7320,-6702,-6014,-5268,-4476,-3650,-2810,-1973,-1151,-367,366,1030,1617,2123,2532,2843,3061,
3181,3218,3170,3048,2858,2614,2318,1990,1630,1255,867,477,95,-272,-622,-936,-1214,-1449,-1639,-1769,
-1836,-1833,-1761,-1606,-1373,-1057,-658,-176,382,1015,1708,2451,3232,4036,4847,5646,6417,7152,7825,8429,
8956,9392,9732,9976,10130,10194,10170,10071,9904,9673,9389,9056,8688,8281,7846,7386,6911,6417,5911,5392,
4869,4337,3806,3273,2746,2215,1691,1167,649,134,-369,-871,-1365,-1854,-2331,-2800,-3260,-3710,-4152,-4584,
-5004,-5416,-5817,-6207,-6587,-6952,-7303,-7635,-7953,-8246,-8524,-8774,-8999,-9189,-9348,-9466,-9545,-9572,-9551,-9468,
-9330,-9117,-8836,-8475,-8039,-7521,-6932,-6271,-5548,-4775,-3964,-3128,-2294,-1464,-668,87,777,1394,1926,2372,
2720,2969,3127,3195,3177,3081,2918,2696,2420,2104,1757,1384,1002,609,226,-148,-501,-830,-1123,-1376,
-1577,-1729,-1819,-1842,-1790,-1670,-1463,-1180,-809,-359,171,777,1450,2175,2943,3737,4546,5348,6131,6876,
7571,8199,8752,9222,9599,9882,10068,10164,10177,10106,9962,9754,9489,9173,8814,8418,7994,7544,7069,6585,
6083,5571,5051,4528,3997,3468,2936,2406,1876,1354,829,312,-201,-702,-1201,-1691,-2171,-2639,-3104,-3557,
-3998,-4429,-4857,-5274,-5681,-6076,-6461,-6833,-7193,-7533,-7858,-8162,-8444,-8702,-8932,-9135,-9304,-9438,-9529,-9578,
-9573,-9518,-9403,-9222,-8966,-8639,-8228,-7745,-7177,-6542,-5838,-5082,-4282,-3458,-2617,-1791,-981,-213,502,1142,
1706,2183,2565,2849,3041,3141,3154,3083,2945,2740,2486,2180,1843,1481,1102,717,329,-50,-410,-745,
-1053,-1319,-1548,-1715,-1830,-1880,-1856,-1758,-1584,-1327,-990,-568,-67,513,1159,1866,2616,3405,4207,5016,
5805,6570,7283,7941,8520,9021,9432,9747,9967,10096,10139,10098,9981,9798,9556,9261,8922,8541,8131,7690,
7228,6743,6247,5737,5221,4694,4168,3638,3108,2579,2053,1528,1009,488,-21,-527,-1026,-1519,-2002,-2478,
-2942,-3401,-3846,-4283,-4709,-5131,-5538,-5935,-6320,-6697,-7058,-7404,-7734,-8047,-8336,-8606,-8849,-9062,-9243,-9389,
-9496,-9559,-9574,-9535,-9438,-9277,-9050,-8748,-8368,-7909,-7377,-6769,-6091,-5354,-4571,-3758,-2924,-2090,-1275,-487,
245,912,1506,2014,2428,2752,2974,3108,3151,3112,2999,2817,2580,2296,1971,1617,1243,857,471,91,
-279,-623,-940,-1221,-1461,-1649,-1782,-1852,-1857,-1791,-1642,-1419,-1108,-718,-244,306,931,1616,2353,3123,
3923,4726,5523,6294,7027,7701,8310,8839,9283,9634,9893,10053,10124,10111,10023,9860,9637,9358,9032,8662,
8262,7832,7378,6903,6410,5908,5397,4877,4349,3819,3289,2757,2225,1699,1174,657,139,-369,-870,-1361,
-1848,-2323,-2792,-3250,-3701,-4142,-4573,-4996,-5410,-5812,-6203,-6586,-6953,-7306,-7643,-7958,-8258,-8531,-8781,-9002,
-9196,-9357,-9478,-9556,-9594,-9575,-9503,-9370,-9168,-8895,-8542,-8113,-7607,-7027,-6372,-5660,-4892,-4091,-3263,-2431,
-1608,-813,-60,633,1258,1796,2249,2604,2869,3033,3113,3105,3020,2862,2648,2381,2073,1731,1366,986,
602,219,-154,-506,-833,-1128,-1383,-1587,-1741,-1833,-1863,-1820,-1702,-1505,-1224,-861,-421,102,699,1360,
2078,2840,3626,4431,5229,6011,6755,7450,8081,8639,9108,9492,9779,9973,10076,10092,10031,9897,9697,9440,
9132,8780,8391,7970,7521,7052,6565,6064,5553,5036,4510,3979,3453,2921,2393,1868,1344,824,307,-203,
-706,-1205,-1695,-2180,-2649,-3115,-3566,-4008,-4442,-4865,-5279,-5687,-6081,-6466,-6835,-7196,-7535,-7864,-8166,-8454,
-8712,-8943,-9149,-9318,-9453,-9547,-9598,-9599,-9547,-9432,-9254,-9006,-8687,-8288,-7809,-7257,-6630,-5938,-5190,-4400,
-3578,-2745,-1916,-1107,-336,380,1028,1603,2085,2480,2775,2979,3088,3116,3057,2932,2739,2489,2194,1866,
1508,1135,751,368,-7,-364,-700,-1004,-1275,-1498,-1672,-1787,-1838,-1824,-1737,-1566,-1318,-987,-574,-80,
490,1129,1828,2575,3353,4149,4954,5742,6504,7217,7877,8462,8970,9385,9714,9943,10081,10129,10096,9983,
9810,9567,9277,8939,8566,8158,7722,7261,6786,6291,5786,5270,4746,4221,3689,3157,2628,2098,1571,1053,
535,24,-480,-980,-1469,-1955,-2429,-2893,-3352,-3799,-4237,-4666,-5087,-5498,-5899,-6285,-6663,-7026,-7372,-7703,
-8016,-8305,-8577,-8817,-9034,-9216,-9367,-9477,-9548,-9569,-9540,-9448,-9297,-9076,-8782,-8412,-7963,-7436,-6839,-6171,
-5441,-4666,-3855,-3029,-2196,-1378,-591,146,823,1425,1946,2373,2704,2944,3088,3143,3120,3017,2849,2617,
2342,2024,1679,1308,929,543,165,-202,-548,-867,-1148,-1392,-1585,-1722,-1798,-1808,-1747,-1607,-1388,-1091,
-708,-246,296,907,1588,2313,3085,3877,4681,5475,6249,6982,7660,8273,8809,9259,9617,9883,10053,10137,
10132,10049,9897,9683,9409,9090,8727,8331,7900,7448,6972,6483,5980,5470,4949,4424,3894,3366,2834,2307,
1778,1256,736,221,-288,-790,-1286,-1773,-2257,-2725,-3183,-3635,-4073,-4505,-4929,-5342,-5746,-6139,-6520,-6888,
-7244,-7585,-7905,-8207,-8484,-8736,-8962,-9160,-9323,-9448,-9529,-9569,-9553,-9492,-9359,-9167,-8901,-8562,-8145,-7645,
-7072,-6431,-5722,-4959,-4159,-3335,-2501,-1672,-872,-112,586,1218,1768,2230,2600,2874,3051,3140,3142,3067,
2921,2711,2450,2146,1809,1444,1065,686,301,-67,-424,-754,-1051,-1309,-1523,-1680,-1783,-1819,-1786,-1678,
-1488,-1220,-872,-439,75,661,1316,2024,2781,3566,4367,5167,5951,6703,7409,8049,8619,9103,9497,9796,
10007,10119,10146,10092,9967,9772,9522,9220,8872,8491,8075,7629,7165,6682,6186,5673,5158,4631,4103,3572,
3039,2509,1984,1455,938,421,-85,-591,-1090,-1579,-2062,-2538,-3000,-3456,-3900,-4335,-4765,-5180,-5589,-5987,
-6373,-6745,-7104,-7447,-7775,-8082,-8368,-8632,-8871,-9075,-9254,-9395,-9496,-9552,-9561,-9512,-9411,-9237,-9000,-8685,
-8297,-7828,-7284,-6664,-5982,-5240,-4455,-3635,-2805,-1976,-1165,-387,335,995,1577,2074,2476,2784,2998,3121,
3152,3105,2986,2799,2555,2268,1945,1588,1217,832,448,71,-290,-632,-940,-1215,-1443,-1625,-1745,-1807,
-1799,-1719,-1561,-1324,-1003,-603,-116,440,1071,1764,2504,3281,4082,4883,5674,6439,7162,7828,8423,8940,
9370,9705,9948,10097,10157,10138,10034,9865,9633,9349,9015,8645,8238,7805,7344,6869,6375,5872,5356,4837,
4309,3781,3247,2716,2190,1664,1139,622,105,-397,-900,-1394,-1881,-2357,-2824,-3280,-3728,-4165,-4599,-5019,
-5431,-5832,-6225,-6603,-6969,-7321,-7654,-7971,-8266,-8536,-8783,-9005,-9190,-9347,-9461,-9537,-9565,-9543,-9460,-9320,
-9108,-8824,-8466,-8027,-7511,-6921,-6262,-5541,-4769,-3962,-3131,-2302,-1481,-692,54,735,1349,1877,2318,2662,
2911,3067,3133,3114,3021,2859,2637,2365,2048,1706,1339,957,575,194,-174,-521,-846,-1133,-1381,-1580,
-1727,-1811,-1831,-1778,-1651,-1442,-1154,-779,-330,202,806,1477,2199,2962,3753,4558,5353,6131,6871,7561,
8182,8729,9189,9561,9838,10019,10113,10118,10046,9902,9694,9429,9116,8758,8365,7939,7493,7021,6534,6032,
5519,5000,4477,3945,3419,2887,2359,1830,1311,789,275,-233,-735,-1230,-1720,-2201,-2669,-3134,-3583,-4026,
-4459,-4885,-5301,-5703,-6098,-6479,-6849,-7205,-7545,-7866,-8171,-8449,-8708,-8941,-9139,-9307,-9439,-9527,-9572,-9567,
-9508,-9387,-9202,-8943,-8615,-8202,-7719,-7157,-6521,-5821,-5068,-4269,-3451,-2613,-1789,-983,-220,491,1128,1694,
2168,2548,2834,3023,3122,3135,3071,2933,2731,2478,2178,1843,1483,1109,724,341,-29,-391,-721,-1026,
-1287,-1503,-1673,-1781,-1824,-1800,-1700,-1524,-1265,-926,-501,-3,578,1223,1930,2678,3461,4259,5061,5845,
6601,7311,7962,8537,9032,9439,9750,9968,10095,10133,10089,9971,9786,9540,9242,8898,8518,8106,7664,7201,
6721,6223,5717,5201,4677,4151,3619,3090,2557,2029,1504,983,464,-45,-550,-1048,-1539,-2022,-2496,-2961,
-3416,-3860,-4297,-4724,-5144,-5554,-5953,-6340,-6716,-7075,-7421,-7751,-8061,-8350,-8617,-8855,-9067,-9247,-9392,-9499,
-9560,-9577,-9536,-9441,-9280,-9052,-8746,-8367,-7907,-7374,-6764,-6087,-5351,-4571,-3755,-2924,-2092,-1278,-495,234,
904,1496,2006,2420,2742,2967,3102,3148,3113,2996,2820,2585,2302,1980,1630,1258,878,493,114,-248,
-592,-907,-1187,-1421,-1607,-1740,-1809,-1807,-1739,-1588,-1363,-1052,-660,-187,361,984,1667,2403,3174,3970,
4771,5565,6333,7063,7734,8340,8865,9303,9650,9905,10063,10134,10120,10029,9869,9644,9364,9040,8670,8268,
7836,7382,6905,6412,5907,5393,4872,4344,3816,3284,2756,2225,1699,1174,654,142,-365,-868,-1364,-1852,
-2330,-2799,-3256,-3709,-4148,-4579,-5001,-5415,-5818,-6212,-6590,-6958,-7310,-7649,-7965,-8265,-8541,-8792,-9014,-9206,
-9366,-9487,-9566,-9598,-9581,-9507,-9373,-9168,-8896,-8546,-8117,-7611,-7031,-6379,-5665,-4900,-4096,-3268,-2436,-1609,
-815,-64,628,1252,1790,2242,2599,2863,3028,3107,3099,3018,2861,2645,2380,2073,1731,1367,989,603,
223,-145,-499,-824,-1118,-1369,-1577,-1727,-1819,-1848,-1804,-1685,-1487,-1209,-847,-404,119,713,1377,2094,
2854,3642,4444,5243,6024,6768,7465,8095,8656,9126,9510,9796,9993,10096,10115,10052,9916,9714,9456,9146,
8797,8405,7986,7540,7072,6586,6088,5575,5056,4532,4004,3474,2943,2413,1886,1363,841,325,-184,-687,
-1182,-1675,-2156,-2628,-3092,-3541,-3986,-4421,-4847,-5262,-5670,-6065,-6449,-6821,-7180,-7521,-7848,-8150,-8435,-8695,
-8929,-9133,-9307,-9442,-9538,-9587,-9591,-9540,-9426,-9248,-9002,-8680,-8280,-7804,-7251,-6624,-5932,-5185,-4394,-3573,
-2740,-1910,-1101,-331,386,1038,1609,2094,2488,2785,2989,3099,3123,3066,2939,2745,2499,2205,1877,1518,
1144,761,379,4,-355,-692,-998,-1267,-1490,-1663,-1777,-1829,-1812,-1721,-1555,-1305,-975,-564,-70,500,
1140,1838,2587,3365,4164,4967,5755,6515,7232,7889,8477,8982,9398,9722,9953,10091,10140,10105,9998,9820,
9579,9291,8954,8580,8167,7731,7269,6789,6296,5789,5274,4752,4224,3697,3167,2635,2108,1581,1059,543,
32,-475,-974,-1468,-1952,-2429,-2893,-3349,-3795,-4235,-4663,-5082,-5493,-5893,-6282,-6660,-7021,-7371,-7701,-8014,
-8305,-8576,-8819,-9034,-9219,-9368,-9478,-9548,-9569,-9539,-9449,-9299,-9079,-8786,-8416,-7971,-7446,-6845,-6179,-5453,
-4676,-3864,-3038,-2201,-1385,-597,138,818,1419,1940,2368,2702,2940,3085,3140,3115,3012,2843,2613,2338,
2021,1673,1304,924,539,164,-203,-548,-867,-1150,-1392,-1583,-1721,-1797,-1808,-1744,-1605,-1387,-1086,-705,
-242,299,912,1590,2320,3088,3880,4682,5477,6249,6985,7663,8276,8813,9262,9619,9883,10052,10132,10127,
10049,9893,9679,9403,9083,8720,8324,7894,7441,6968,6478,5975,5462,4941,4417,3886,3356,2826,2298,1771,
1247,729,214,-294,-795,-1294,-1779,-2259,-2731,-3188,-3641,-4082,-4513,-4937,-5350,-5754,-6146,-6529,-6897,-7250,
-7590,-7909,-8210,-8488,-8744,-8971,-9167,-9329,-9456,-9543,-9581,-9570,-9505,-9377,-9184,-8920,-8582,-8162,-7670,-7096,
-6456,-5751,-4990,-4191,-3368,-2536,-1707,-908,-149,552,1186,1739,2203,2572,2848,3029,3120,3122,3049,2904,
2698,2437,2136,1798,1438,1058,677,295,-74,-430,-757,-1054,-1310,-1523,-1682,-1782,-1817,-1781,-1672,-1484,
-1213,-864,-431,82,671,1323,2035,2790,3574,4375,5174,5957,6707,7408,8049,8615,9097,9492,9789,9994,
10109,10136,10083,9957,9760,9508,9203,8856,8472,8055,7611,7145,6660,6166,5655,5139,4614,4087,3555,3025,
2494,1968,1442,920,406,-102,-607,-1105,-1595,-2077,-2550,-3015,-3467,-3912,-4349,-4776,-5194,-5602,-5997,-6386,
-6757,-7118,-7461,-7789,-8096,-8383,-8644,-8883,-9091,-9267,-9408,-9508,-9567,-9574,-9528,-9426,-9257,-9019,-8705,-8317,
-7848,-7305,-6686,-6002,-5261,-4475,-3657,-2827,-1994,-1183,-404,319,979,1562,2059,2464,2775,2990,3113,3149,
3100,2981,2796,2555,2266,1942,1587,1218,833,449,72,-287,-628,-938,-1214,-1441,-1624,-1744,-1807,-1797,
-1718,-1557,-1320,-1001,-599,-118,443,1074,1764,2504,3279,4078,4878,5670,6434,7157,7822,8417,8934,9360,
9696,9939,10088,10148,10126,10026,9857,9627,9343,9010,8638,8232,7799,7341,6863,6370,5866,5349,4829,4301,
3774,3243,2714,2183,1659,1135,618,104,-399,-904,-1397,-1883,-2358,-2825,-3283,-3732,-4169,-4600,-5021,-5433,
-5833,-6226,-6604,-6968,-7320,-7653,-7971,-8265,-8539,-8785,-9005,-9192,-9348,-9461,-9537,-9563,-9539,-9457,-9314,-9103,
-8821,-8461,-8024,-7507,-6919,-6256,-5537,-4765,-3958,-3129,-2298,-1476,-685,59,743,1355,1885,2324,2668,2919,
3076,3140,3123,3028,2865,2643,2371,2056,1712,1344,966,579,200,-168,-515,-840,-1128,-1377,-1575,-1722,
-1806,-1827,-1774,-1647,-1440,-1150,-779,-330,202,805,1475,2197,2959,3749,4553,5348,6127,6864,7555,8178,
8724,9187,9560,9835,10017,10111,10118,10046,9900,9693,9426,9113,8753,8363,7938,7488,7016,6530,6028,5518,
4997,4471,3943,3412,2880,2352,1823,1302,780,266,-241,-745,-1241,-1729,-2211,-2680,-3143,-3593,-4039,-4473,
-4897,-5313,-5718,-6111,-6494,-6865,-7220,-7559,-7881,-8186,-8465,-8723,-8953,-9155,-9321,-9454,-9542,-9588,-9582,-9521,
-9400,-9217,-8958,-8626,-8216,-7728,-7164,-6527,-5827,-5075,-4279,-3456,-2620,-1795,-990,-225,484,1124,1685,2159,
2542,2825,3017,3114,3129,3061,2922,2724,2467,2169,1834,1474,1099,714,331,-41,-399,-731,-1034,-1299,
-1517,-1680,-1791,-1835,-1809,-1710,-1534,-1276,-936,-512,-12,565,1212,1920,2669,3452,4248,5053,5839,6595,
7306,7958,8536,9030,9437,9751,9971,10098,10140,10096,9980,9795,9551,9254,8912,8531,8118,7678,7215,6732,
6237,5731,5215,4689,4164,3636,3105,2574,2046,1520,999,482,-27,-534,-1031,-1525,-2007,-2480,-2943,-3399,
-3845,-4278,-4707,-5128,-5535,-5934,-6321,-6698,-7058,-7405,-7731,-8045,-8332,-8597,-8838,-9049,-9229,-9372,-9475,-9540,
-9555,-9515,-9419,-9258,-9031,-8727,-8346,-7887,-7353,-6744,-6067,-5331,-4550,-3735,-2904,-2071,-1259,-476,252,921,
1511,2020,2434,2755,2979,3111,3156,3119,3005,2827,2591,2307,1985,1634,1263,881,497,118,-244,-589,
-902,-1182,-1418,-1605,-1735,-1807,-1807,-1736,-1587,-1359,-1049,-660,-186,361,986,1670,2406,3177,3971,4773,
5568,6336,7066,7737,8345,8869,9310,9655,9909,10067,10139,10124,10035,9872,9649,9369,9045,8677,8274,7844,
7389,6912,6419,5915,5400,4878,4350,3822,3291,2759,2229,1705,1181,661,147,-359,-861,-1354,-1845,-2322,
-2792,-3251,-3703,-4141,-4573,-4994,-5409,-5810,-6202,-6582,-6948,-7302,-7637,-7956,-8254,-8530,-8781,-9004,-9198,-9357,
-9479,-9557,-9591,-9573,-9498,-9362,-9162,-8887,-8536,-8109,-7605,-7025,-6374,-5661,-4895,-4093,-3267,-2434,-1610,-816,
-61,630,1251,1790,2242,2599,2862,3028,3107,3101,3018,2862,2649,2380,2075,1731,1369,991,607,223,
-144,-495,-822,-1111,-1363,-1568,-1719,-1812,-1840,-1795,-1677,-1479,-1199,-839,-394,127,723,1387,2103,2864,
3650,4451,5248,6029,6773,7469,8102,8660,9131,9513,9803,9999,10101,10119,10057,9922,9719,9459,9150,8797,
8407,7987,7540,7074,6590,6089,5579,5060,4536,4007,3477,2946,2415,1888,1364,842,326,-183,-685,-1183,
-1671,-2154,-2623,-3085,-3537,-3981,-4417,-4842,-5260,-5667,-6063,-6449,-6820,-7178,-7521,-7844,-8148,-8434,-8692,-8926,
-9129,-9301,-9438,-9533,-9584,-9588,-9538,-9425,-9248,-9001,-8680,-8279,-7801,-7248,-6621,-5928,-5181,-4390,-3571,-2740,
-1909,-1102,-330,385,1036,1608,2092,2485,2784,2987,3095,3120,3062,2935,2741,2494,2200,1871,1514,1141,
757,376,0,-360,-695,-1000,-1269,-1494,-1666,-1781,-1833,-1817,-1725,-1556,-1308,-979,-566,-74,496,1135,
1834,2581,3361,4160,4963,5754,6516,7230,7889,8475,8983,9398,9721,9951,10089,10139,10107,10000,9825,9585,
9295,8960,8585,8173,7738,7277,6797,6300,5795,5278,4756,4230,3699,3171,2641,2113,1587,1066,549,38,
-467,-968,-1462,-1946,-2424,-2889,-3345,-3791,-4231,-4655,-5075,-5485,-5885,-6272,-6650,-7013,-7362,-7694,-8006,-8299,
-8570,-8815,-9032,-9214,-9366,-9478,-9545,-9564,-9535,-9444,-9292,-9073,-8781,-8413,-7968,-7442,-6847,-6178,-5454,-4677,
-3865,-3038,-2205,-1386,-601,136,812,1415,1932,2360,2694,2931,3079,3132,3107,3003,2834,2604,2330,2009,
1662,1292,913,528,149,-216,-561,-878,-1160,-1402,-1594,-1735,-1809,-1820,-1758,-1620,-1398,-1099,-719,-256,
286,902,1578,2309,3077,3868,4670,5464,6238,6972,7650,8268,8802,9254,9611,9874,10046,10128,10121,10039,
9886,9670,9394,9074,8712,8314,7887,7437,6966,6476,5975,5459,4940,4414,3884,3355,2821,2293,1766,1241,
723,209,-296,-797,-1293,-1779,-2258,-2728,-3185,-3637,-4079,-4511,-4935,-5348,-5754,-6148,-6528,-6896,-7248,-7588,
-7903,-8204,-8479,-8736,-8963,-9162,-9325,-9452,-9536,-9577,-9564,-9500,-9372,-9179,-8911,-8572,-8153,-7657,-7085,-6443,
-5737,-4980,-4179,-3356,-2522,-1697,-897,-138,561,1192,1745,2211,2577,2851,3033,3121,3124,3049,2903,2696,
2435,2132,1794,1436,1055,673,288,-80,-437,-767,-1066,-1321,-1536,-1693,-1794,-1826,-1796,-1685,-1497,-1229,
-879,-444,63,652,1306,2017,2774,3560,4362,5159,5941,6693,7395,8033,8601,9082,9477,9775,9983,10096,
10126,10072,9948,9755,9504,9199,8851,8465,8048,7603,7136,6651,6155,5644,5128,4606,4081,3548,3022,2492,
1966,1439,919,399,-107,-616,-1111,-1605,-2085,-2560,-3022,-3476,-3917,-4351,-4778,-5193,-5601,-5998,-6383,-6757,
-7116,-7461,-7790,-8096,-8382,-8646,-8884,-9090,-9263,-9402,-9502,-9558,-9565,-9520,-9418,-9249,-9011,-8696,-8312,-7843,
-7297,-6680,-5995,-5254,-4467,-3647,-2815,-1984,-1170,-393,330,989,1571,2071,2477,2785,3001,3121,3158,3112,
2993,2806,2566,2275,1950,1596,1227,844,461,84,-275,-618,-925,-1196,-1426,-1608,-1731,-1791,-1782,-1703,
-1542,-1305,-984,-582,-98,460,1093,1783,2524,3300,4098,4902,5693,6456,7181,7845,8440,8958,9386,9720,
9958,10108,10168,10142,10039,9871,9639,9355,9021,8653,8246,7811,7353,6878,6384,5879,5361,4840,4309,3779,
3247,2720,2190,1665,1141,623,109,-393,-895,-1389,-1877,-2353,-2822,-3281,-3731,-4172,-4603,-5023,-5435,-5835,
-6225,-6604,-6969,-7318,-7649,-7966,-8259,-8533,-8782,-9005,-9192,-9348,-9464,-9540,-9565,-9542,-9457,-9317,-9102,-8819,
-8457,-8021,-7502,-6914,-6255,-5534,-4765,-3958,-3126,-2298,-1474,-684,64,748,1360,1888,2331,2677,2925,3082,
3150,3133,3039,2878,2658,2385,2073,1729,1361,983,595,217,-150,-498,-822,-1110,-1357,-1554,-1700,-1785,
-1803,-1746,-1622,-1411,-1123,-751,-300,232,837,1509,2232,2996,3786,4589,5386,6162,6901,7590,8211,8757,
9221,9592,9869,10052,10144,10154,10081,9936,9727,9461,9146,8787,8392,7969,7519,7045,6561,6059,5547,5028,
4505,3975,3446,2914,2385,1855,1333,810,293,-217,-718,-1218,-1707,-2187,-2655,-3120,-3573,-4013,-4444,-4872,
-5288,-5694,-6088,-6473,-6844,-7202,-7542,-7865,-8169,-8450,-8706,-8935,-9137,-9304,-9436,-9525,-9572,-9566,-9508,-9391,
-9208,-8951,-8622,-8210,-7727,-7160,-6526,-5824,-5071,-4273,-3452,-2616,-1793,-987,-223,486,1122,1684,2158,2539,
2821,3012,3113,3126,3057,2920,2717,2465,2162,1827,1469,1092,711,326,-47,-404,-736,-1040,-1303,-1527,
-1690,-1801,-1848,-1821,-1719,-1543,-1284,-944,-521,-20,560,1205,1911,2659,3445,4243,5048,5833,6593,7301,
7954,8529,9026,9433,9744,9961,10088,10128,10086,9969,9784,9542,9246,8907,8525,8116,7675,7214,6729,6233,
5723,5208,4682,4156,3627,3097,2567,2041,1516,997,477,-31,-536,-1036,-1528,-2011,-2487,-2950,-3409,-3854,
-4291,-4717,-5138,-5545,-5943,-6328,-6704,-7065,-7410,-7739,-8051,-8340,-8608,-8851,-9063,-9242,-9387,-9493,-9555,-9568,
-9530,-9431,-9269,-9040,-8738,-8357,-7898,-7366,-6758,-6081,-5346,-4564,-3753,-2921,-2089,-1277,-492,236,900,1493,
2000,2412,2736,2957,3090,3134,3096,2984,2802,2567,2285,1961,1609,1236,853,469,91,-276,-617,-932,
-1211,-1449,-1634,-1765,-1834,-1836,-1768,-1618,-1393,-1081,-690,-216,334,958,1642,2378,3146,3944,4746,5540,
6308,7039,7710,8316,8843,9285,9634,9891,10049,10119,10105,10017,9853,9631,9351,9025,8656,8255,7825,7372,
6896,6404,5902,5391,4871,4343,3814,3284,2752,2220,1694,1169,652,135,-371,-873,-1363,-1850,-2326,-2795,
-3252,-3704,-4144,-4575,-4998,-5412,-5814,-6204,-6588,-6955,-7307,-7644,-7958,-8258,-8531,-8781,-9001,-9195,-9355,-9476,
-9553,-9590,-9571,-9499,-9365,-9163,-8889,-8536,-8107,-7601,-7021,-6366,-5655,-4888,-4088,-3261,-2429,-1607,-813,-61,
629,1254,1791,2243,2598,2863,3026,3106,3099,3015,2857,2643,2376,2069,1728,1364,984,601,218,-153,
-504,-830,-1124,-1379,-1582,-1736,-1827,-1857,-1813,-1695,-1497,-1216,-853,-413,108,705,1365,2084,2845,3630,
4435,5232,6014,6757,7451,8082,8639,9108,9491,9778,9972,10074,10090,10029,9896,9695,9438,9131,8779,8390,
7969,7520,7050,6564,6063,5552,5035,4509,3978,3451,2920,2392,1867,1343,823,13,-665,-1457,-1002,-634,
52,618,1341,1911,2470,2832,3254,3664,4198,4762,5435,6108,6796,7318,7716,7921,8013,7965,7855,7688,
7542,7348,7096,6722,6227,5585,4828,3940,3039,2117,1249,421,-362,-1127,-1880,-2683,-3507,-4383,-5260,-6149,
-6989,-7742,-8400,-8992,-9452,-9800,-10046,-10254,-10430,-10543,-10581,-10595,-10559,-10482,-10271,-10001,-9679,-9318,-8881,-8391,
-7875,-7344,-6785,-6165,-5460,-4752,-3993,-3202,-2373,-1551,-768,-24,712,1432,2133,2784,3471,4155,4870,5531,
6167,6771,7319,7782,8149,8418,8680,8861,9014,9113,9210,9312,9348,9299,9175,8982,8709,8311,7837,7322,
6801,6230,5618,4977,4318,3615,2835,1972,1103,205,-670,-1556,-2368,-3098,-3756,-4369,-4961,-5531,-6071,-6630,
-7196,-7762,-8261,-8687,-9050,-9337,-9533,-9619,-9651,-9668,-9637,-9578,-9448,-9293,-9094,-8804,-8422,-7969,-7482,-6960,
-6388,-5815,-5245,-4705,-4145,-3565,-2971,-2371,-1749,-1097,-426,218,845,1429,2021,2572,3098,3621,4173,4764,
5371,5978,6601,7211,7803,8319,8757,9148,9497,9782,10018,10224,10429,10600,10719,10745,10721,10611,10407,10086,
9680,9245,8763,8226,7657,7063,6448,5771,5028,4242,3418,2582,1706,845,7,-776,-1540,-2304,-3045,-3778,
-4504,-5253,-6025,-6753,-7449,-8076,-8643,-9128,-9511,-9806,-10044,-10240,-10372,-10440,-10457,-10437,-10343,-10148,-9860,-9499,
-9086,-8594,-8052,-7471,-6908,-6316,-5706,-5072,-4419,-3757,-3050,-2310,-1552,-791,-44,697,1427,2120,2777,3422,
4072,4704,5323,5909,6487,7033,7514,7909,8241,8515,8729,8871,8965,9012,9048,9022,8928,8770,8549,8244,
7843,7354,6830,6269,5693,5074,4472,3875,3255,2593,1891,1153,403,-392,-1203,-2008,-2770,-3493,-4193,-4846,
-5462,-6046,-6613,-7166,-7691,-8175,-8603,-8980,-9288,-9514,-9661,-9745,-9787,-9787,-9744,-9654,-9518,-9353,-9118,-8794,
-8416,-7977,-7491,-6957,-6389,-5824,-5256,-4684,-4110,-3527,-2937,-2339,-1720,-1072,-441,198,824,1443,2049,2620,
3189,3768,4341,4925,5512,6107,6709,7287,7844,8356,8832,9264,9650,9971,10249,10487,10672,10789,10830,10799,
10700,10489,10199,9829,9394,8921,8384,7801,7215,6574,5902,5164,4385,3575,2722,1830,934,51,-813,-1646,
-2458,-3227,-3951,-4671,-5361,-6033,-6662,-7258,-7812,-8304,-8728,-9080,-9353,-9577,-9742,-9844,-9904,-9906,-9863,-9767,
-9589,-9343,-9027,-8643,-8186,-7679,-7125,-6551,-5956,-5328,-4693,-4039,-3371,-2677,-1963,-1229,-505,221,935,1625,
2291,2926,3536,4149,4722,5296,5854,6398,6912,7378,7798,8175,8480,8724,8918,9047,9139,9167,9149,9071,
8940,8737,8470,8101,7674,7175,6626,6025,5395,4733,4072,3376,2655,1920,1161,390,-388,-1191,-1970,-2733,
-3479,-4202,-4882,-5527,-6133,-6714,-7261,-7765,-8229,-8649,-9025,-9330,-9562,-9736,-9844,-9888,-9882,-9813,-9706,-9548,
-9336,-9073,-8758,-8392,-7981,-7522,-7027,-6503,-5957,-5404,-4837,-4269,-3709,-3134,-2551,-1959,-1353,-751,-143,472,
1075,1671,2250,2816,3381,3954,4510,5074,5641,6202,6751,7270,7764,8224,8642,9010,9332,9610,9849,10027,
10148,10217,10219,10134,9979,9740,9431,9047,8594,8093,7537,6933,6295,5602,4873,4113,3320,2491,1646,786,
-61,-906,-1736,-2543,-3325,-4069,-4782,-5483,-6134,-6743,-7317,-7848,-8318,-8726,-9054,-9334,-9551,-9699,-9777,-9800,
-9776,-9689,-9530,-9309,-9039,-8704,-8304,-7839,-7337,-6797,-6224,-5625,-4996,-4361,-3714,-3048,-2368,-1671,-969,-264,
443,1159,1847,2516,3169,3813,4450,5051,5643,6229,6799,7340,7841,8308,8738,9123,9438,9695,9907,10065,
10169,10192,10164,10079,9916,9680,9371,9001,8572,8077,7520,6924,6295,5626,4920,4171,3400,2601,1787,945,
103,-732,-1545,-2351,-3132,-3896,-4615,-5316,-5983,-6630,-7211,-7758,-8258,-8709,-9093,-9402,-9643,-9835,-9952,-9995,
-9975,-9903,-9785,-9590,-9330,-9019,-8656,-8239,-7767,-7254,-6716,-6163,-5581,-4978,-4373,-3766,-3157,-2539,-1922,-1302,
-690,-80,524,1127,1707,2281,2839,3397,3940,4474,4998,5528,6036,6525,6980,7414,7827,8197,8515,8805,
9047,9245,9386,9474,9498,9473,9355,9161,8902,8577,8189,7726,7223,6672,6082,5446,4770,4047,3299,2515,
1707,874,44,-784,-1600,-2413,-3204,-3962,-4703,-5417,-6098,-6755,-7351,-7917,-8429,-8891,-9286,-9620,-9897,-10131,
-10287,-10384,-10420,-10407,-10326,-10174,-9949,-9673,-9337,-8931,-8471,-7966,-7433,-6866,-6262,-5636,-4987,-4323,-3639,-2922,
-2200,-1479,-744,-12,717,1434,2126,2809,3477,4131,4768,5391,5989,6583,7143,7669,8149,8591,8991,9322,
9584,9811,9979,10090,10134,10115,10036,9895,9668,9368,9016,8601,8128,7596,7019,6419,5779,5089,4372,3609,
2834,2024,1195,368,-450,-1257,-2041,-2820,-3555,-4269,-4957,-5626,-6265,-6864,-7412,-7925,-8381,-8766,-9086,-9334,
-9524,-9660,-9714,-9712,-9651,-9538,-9355,-9106,-8792,-8424,-8003,-7521,-6996,-6439,-5862,-5256,-4635,-3998,-3363,-2721,
-2067,-1410,-759,-117,524,1156,1777,2383,2967,3546,4107,4660,5198,5726,6238,6753,7228,7688,8116,8517,
8873,9183,9448,9682,9859,9988,10055,10068,10017,9896,9686,9410,9073,8664,8195,7672,7104,6508,5866,5182,
4459,3706,2919,2095,1247,401,-447,-1280,-2106,-2906,-3681,-4430,-5163,-5865,-6541,-7187,-7779,-8344,-8838,-9283,
-9656,-9962,-10206,-10395,-10517,-10579,-10596,-10549,-10438,-10252,-10005,-9700,-9326,-8892,-8414,-7900,-7360,-6773,-6154,-5535,
-4884,-4213,-3519,-2808,-2096,-1370,-635,89,802,1499,2177,2847,3490,4124,4741,5343,5929,6488,7015,7500,
7946,8334,8670,8950,9165,9346,9454,9518,9505,9443,9313,9106,8825,8470,8060,7576,7041,6464,5853,5223,
4543,3843,3111,2360,1579,769,-57,-871,-1677,-2472,-3241,-3980,-4682,-5367,-6018,-6628,-7218,-7767,-8268,-8721,
-9105,-9426,-9676,-9857,-9975,-10028,-10014,-9941,-9820,-9641,-9396,-9084,-8709,-8290,-7793,-7251,-6677,-6077,-5456,-4808,
-4148,-3502,-2839,-2167,-1490,-817,-152,524,1195,1848,2483,3108,3710,4302,4868,5432,5977,6507,7030,7537,
8010,8469,8875,9248,9575,9866,10092,10273,10408,10488,10512,10474,10377,10201,9948,9630,9249,8796,8285,7731,
7146,6515,5853,5163,4438,3678,2886,2068,1238,410,-427,-1250,-2043,-2813,-3547,-4258,-4949,-5603,-6223,-6819,
-7369,-7877,-8321,-8709,-9031,-9283,-9472,-9603,-9663,-9684,-9650,-9555,-9404,-9188,-8918,-8581,-8182,-7728,-7240,-6711,
-6149,-5567,-4964,-4346,-3714,-3068,-2398,-1727,-1044,-354,344,1027,1700,2360,3002,3623,4231,4823,5401,5963,
6500,7023,7498,7939,8326,8656,8934,9150,9304,9411,9443,9425,9344,9211,9005,8734,8384,7974,7491,6945,
6356,5720,5051,4362,3630,2890,2129,1342,527,-305,-1145,-1972,-2802,-3605,-4372,-5113,-5806,-6482,-7104,-7697,
-8261,-8782,-9250,-9674,-10029,-10328,-10551,-10701,-10784,-10805,-10752,-10653,-10490,-10272,-10001,-9664,-9272,-8820,-8311,-7765,
-7176,-6553,-5921,-5270,-4606,-3948,-3269,-2603,-1932,-1250,-582,92,756,1402,2039,2664,3265,3849,4413,4973,
5521,6049,6556,7054,7532,7967,8366,8720,9035,9285,9487,9639,9731,9773,9756,9683,9548,9349,9073,8738,
8325,7856,7329,6762,6158,5519,4851,4157,3439,2696,1930,1147,353,-448,-1251,-2020,-2782,-3506,-4198,-4858,
-5489,-6085,-6648,-7185,-7671,-8120,-8511,-8847,-9112,-9310,-9438,-9506,-9513,-9465,-9354,-9203,-8992,-8722,-8400,-8018,
-7585,-7099,-6572,-6010,-5420,-4808,-4179,-3540,-2887,-2219,-1552,-861,-175,520,1220,1907,2588,3252,3897,4516,
5124,5712,6282,6823,7343,7837,8303,8716,9075,9389,9643,9824,9942,10007,10000,9944,9811,9621,9375,9062,
8678,8227,7703,7130,6500,5824,5119,4385,3627,2854,2064,1256,437,-396,-1235,-2072,-2898,-3702,-4472,-5211,
-5909,-6570,-7185,-7753,-8293,-8783,-9231,-9618,-9952,-10227,-10421,-10537,-10589,-10572,-10469,-10317,-10105,-9839,-9516,-9136,
-8703,-8221,-7681,-7101,-6479,-5841,-5180,-4508,-3832,-3153,-2469,-1790,-1115,-442,226,894,1549,2185,2824,3431,
4017,4592,5135,5667,6183,6682,7160,7616,8047,8432,8772,9086,9338,9538,9669,9757,9787,9755,9662,9525,
9330,9068,8744,8358,7906,7405,6840,6236,5588,4920,4219,3508,2776,2023,1260,491,-288,-1071,-1849,-2600,
-3341,-4042,-4704,-5339,-5928,-6487,-7003,-7477,-7906,-8297,-8634,-8907,-9127,-9259,-9337,-9356,-9292,-9179,-9007,-8792,
-8528,-8199,-7836,-7414,-6947,-6433,-5880,-5298,-4686,-4059,-3407,-2761,-2095,-1434,-762,-86,593,1275,1955,2626,
3294,3940,4571,5181,5769,6335,6878,7381,7870,8334,8750,9127,9448,9721,9929,10064,10133,10133,10068,9938,
9736,9483,9169,8789,8345,7846,7291,6675,6003,5292,4552,3781,2990,2191,1374,563,-266,-1102,-1926,-2749,
-3561,-4355,-5122,-5843,-6531,-7170,-7771,-8311,-8811,-9259,-9659,-10004,-10297,-10526,-10682,-10761,-10783,-10724,-10584,-10391,
-10141,-9840,-9472,-9054,-8599,-8097,-7549,-6958,-6335,-5691,-5026,-4345,-3656,-2974,-2287,-1611,-929,-265,396,1052,
1698,2327,2953,3554,4140,4703,5245,5767,6265,6738,7192,7617,8007,8360,8666,8936,9142,9290,9379,9412,
9374,9270,9108,8892,8620,8295,7908,7463,6970,6409,5799,5151,4468,3760,3026,2282,1525,761,-4,-780,
-1540,-2296,-3058,-3782,-4492,-5169,-5801,-6404,-6951,-7457,-7911,-8312,-8674,-8988,-9247,-9443,-9583,-9658,-9662,-9600,
-9472,-9288,-9047,-8756,-8407,-8017,-7584,-7109,-6595,-6043,-5452,-4844,-4205,-3546,-2882,-2208,-1532,-856,-176,502,
1183,1853,2526,3191,3846,4491,5119,5723,6302,6858,7391,7880,8355,8783,9168,9509,9806,10045,10223,10334,
10377,10351,10250,10075,9833,9540,9186,8767,8296,7775,7196,6566,5879,5154,4406,3616,2816,1998,1172,346,
-471,-1295,-2099,-2895,-3680,-4437,-5178,-5876,-6538,-7152,-7718,-8223,-8684,-9082,-9430,-9732,-9968,-10147,-10266,-10298,
-10280,-10169,-9999,-9769,-9469,-9119,-8714,-8255,-7768,-7243,-6669,-6070,-5446,-4794,-4129,-3441,-2748,-2064,-1379,-700,
-36,622,1265,1904,2534,3151,3753,4327,4913,5451,5975,6470,6954,7389,7814,8181,8527,8826,9087,9295,
9453,9543,9577,9552,9450,9290,9070,8785,8453,8060,7621,7126,6589,5992,5358,4671,3965,3222,2458,1683,
904,125,-658,-1429,-2186,-2931,-3662,-4376,-5063,-5718,-6338,-6914,-7444,-7907,-8332,-8694,-9010,-9261,-9464,-9613,
-9700,-9722,-9689,-9575,-9402,-9170,-8876,-8523,-8131,-7688,-7209,-6692,-6137,-5565,-4962,-4336,-3684,-3022,-2346,-1670,
-983,-299,380,1048,1710,2370,3023,3666,4306,4923,5534,6122,6679,7213,7723,8185,8607,8993,9333,9626,
9869,10051,10183,10239,10236,10160,10012,9792,9504,9150,8744,8276,7758,7199,6591,5940,5231,4503,3738,2934,
2122,1295,457,-371,-1199,-2003,-2793,-3568,-4327,-5057,-5757,-6437,-7073,-7666,-8203,-8681,-9111,-9467,-9770,-10019,
-10199,-10324,-10398,-10388,-10323,-10177,-9976,-9698,-9367,-8977,-8534,-8047,-7522,-6957,-6363,-5747,-5098,-4441,-3765,-3067,
-2374,-1675,-978,-301,370,1033,1683,2325,2948,3562,4160,4744,5313,5856,6384,6880,7347,7773,8165,8517,
8830,9085,9300,9467,9585,9631,9631,9555,9419,9206,8927,8597,8203,7757,7264,6722,6142,5516,4853,4161,
3433,2672,1899,1111,314,-477,-1261,-2032,-2775,-3516,-4223,-4898,-5561,-6185,-6777,-7321,-7822,-8260,-8647,-8962,
-9237,-9434,-9585,-9679,-9701,-9676,-9587,-9430,-9217,-8940,-8614,-8224,-7786,-7311,-6799,-6251,-5679,-5090,-4467,-3833,
-3180,-2516,-1840,-1162,-480,198,872,1533,2188,2830,3463,4080,4700,5297,5876,6434,6977,7493,7962,8394,
8794,9138,9434,9675,9867,9999,10074,10084,10028,9900,9710,9440,9098,8701,8240,7720,7156,6546,5896,5211,
4491,3735,2953,2152,1326,490,-348,-1188,-2010,-2809,-3586,-4346,-5075,-5776,-6447,-7082,-7684,-8235,-8739,-9181,
-9573,-9889,-10142,-10327,-10459,-10527,-10530,-10468,-10351,-10160,-9910,-9601,-9229,-8797,-8314,-7784,-7228,-6631,-6016,-5378,
-4726,-4052,-3370,-2677,-1988,-1280,-581,100,781,1439,2087,2718,3337,3937,4525,5095,5645,6172,6682,7157,
7601,8003,8370,8691,8961,9173,9339,9454,9517,9510,9456,9330,9145,8886,8559,8173,7729,7228,6681,6092,
5467,4806,4112,3389,2647,1877,1096,299,-499,-1297,-2076,-2847,-3576,-4294,-4978,-5630,-6251,-6837,-7390,-7895,
-8347,-8751,-9096,-9370,-9589,-9741,-9838,-9866,-9826,-9739,-9595,-9384,-9127,-8800,-8426,-7999,-7522,-6997,-6455,-5869,
-5272,-4652,-4014,-3370,-2710,-2040,-1365,-684,-9,673,1349,2010,2658,3299,3924,4533,5134,5717,6287,6825,
7343,7834,8286,8690,9058,9374,9630,9824,9967,10053,10070,10027,9931,9760,9527,9220,8841,8402,7911,7353,
6749,6098,5424,4711,3972,3205,2430,1616,804,-27,-853,-1674,-2485,-3276,-4026,-4758,-5449,-6111,-6736,-7323,
-7870,-8369,-8815,-9215,-9547,-9816,-10009,-10144,-10215,-10211,-10145,-10017,-9842,-9593,-9292,-8930,-8513,-8049,-7519,-6954,
-6359,-5731,-5089,-4421,-3751,-3075,-2385,-1692,-1005,-305,382,1067,1730,2382,3021,3654,4254,4840,5406,5953,
6476,6978,7454,7905,8310,8684,9013,9291,9505,9673,9779,9833,9820,9752,9636,9444,9199,8880,8502,8065,
7569,7015,6415,5778,5103,4402,3665,2914,2143,1354,565,-248,-1059,-1860,-2650,-3418,-4160,-4868,-5539,-6169,
-6764,-7327,-7838,-8314,-8731,-9104,-9411,-9653,-9832,-9944,-9993,-9973,-9886,-9753,-9561,-9307,-9008,-8651,-8252,-7798,
-7299,-6758,-6192,-5592,-4981,-4344,-3711,-3064,-2411,-1749,-1093,-431,234,891,1545,2186,2821,3444,4042,4634,
5210,5755,6284,6793,7286,7739,8153,8530,8858,9137,9352,9498,9582,9614,9579,9479,9325,9103,8823,8473,
8064,7596,7062,6473,5843,5171,4464,3734,2975,2209,1428,633,-169,-976,-1782,-2585,-3380,-4140,-4864,-5566,
-6220,-6837,-7411,-7945,-8428,-8869,-9252,-9594,-9860,-10072,-10213,-10282,-10285,-10224,-10090,-9898,-9652,-9339,-8990,-8572,
-8120,-7604,-7058,-6460,-5834,-5170,-4509,-3826,-3133,-2433,-1727,-1031,-333,361,1052,1737,2409,3065,3710,4333,
4941,5523,6082,6623,7133,7608,8069,8494,8876,9224,9518,9759,9949,10073,10132,10137,10071,9950,9770,9526,
9227,8864,8453,7973,7439,6849,6217,5545,4838,4097,3347,2583,1808,1017,231,-566,-1355,-2146,-2923,-3667,
-4382,-5076,-5716,-6319,-6881,-7395,-7866,-8296,-8664,-8986,-9249,-9448,-9589,-9656,-9661,-9589,-9463,-9276,-9032,-8741,
-8399,-8020,-7585,-7115,-6599,-6055,-5477,-4867,-4248,-3609,-2971,-2326,-1680,-1029,-385,266,912,1556,2193,2822,
3444,4051,4632,5210,5760,6289,6786,7260,7705,8121,8489,8826,9102,9336,9504,9607,9640,9615,9517,9358,
9146,8867,8525,8123,7669,7166,6586,5965,5305,4594,3854,3087,2301,1511,714,-84,-880,-1678,-2474,-3266,
-4039,-4779,-5498,-6186,-6813,-7407,-7949,-8449,-8888,-9280,-9618,-9909,-10144,-10301,-10406,-10442,-10404,-10294,-10119,-9886,
-9589,-9234,-8839,-8392,-7907,-7371,-6801,-6197,-5560,-4886,-4208,-3514,-2817,-2110,-1406,-712,-17,666,1350,2031,
2689,3344,3981,4605,5206,5784,6338,6861,7353,7813,8243,8645,8994,9308,9570,9787,9936,10024,10040,10005,
9887,9720,9481,9191,8847,8446,7987,7484,6924,6310,5656,4959,4235,3483,2715,1939,1160,375,-397,-1174,
-1939,-2695,-3438,-4156,-4845,-5497,-6108,-6674,-7188,-7651,-8069,-8430,-8736,-8997,-9196,-9337,-9415,-9426,-9377,-9255,
-9066,-8832,-8527,-8178,-7779,-7347,-6880,-6366,-5820,-5253,-4651,-4023,-3383,-2731,-2075,-1416,-756,-103,540,1188,
1829,2462,3084,3707,4314,4907,5486,6040,6572,7081,7555,7999,8405,8779,9101,9389,9615,9792,9910,9953,
9944,9852,9691,9473,9182,8832,8431,7970,7453,6891,6280,5619,4916,4170,3401,2593,1778,960,130,-692,
-1501,-2306,-3101,-3877,-4645,-5375,-6086,-6756,-7375,-7966,-8484,-8952,-9366,-9724,-10023,-10280,-10466,-10585,-10652,-10648,
-10579,-10430,-10221,-9946,-9618,-9216,-8784,-8310,-7792,-7237,-6648,-6031,-5381,-4716,-4032,-3338,-2636,-1925,-1218,-530,
154,829,1495,2154,2798,3432,4052,4659,5244,5807,6339,6843,7311,7740,8139,8499,8801,9077,9294,9457,
9564,9607,9579,9488,9323,9107,8817,8476,8070,7622,7129,6588,6000,5366,4693,3983,3241,2475,1699,920,
128,-644,-1411,-2169,-2905,-3637,-4331,-5014,-5660,-6276,-6846,-7376,-7838,-8256,-8616,-8912,-9155,-9343,-9473,-9546,
-9555,-9510,-9392,-9206,-8964,-8663,-8297,-7889,-7438,-6943,-6422,-5870,-5285,-4686,-4060,-3409,-2755,-2087,-1412,-736,
-63,601,1261,1913,2555,3183,3804,4416,5019,5608,6177,6726,7247,7745,8200,8610,8993,9330,9618,9862,
10051,10181,10247,10256,10194,10062,9858,9594,9248,8849,8391,7877,7319,6723,6081,5391,4668,3903,3117,2300,
1470,635,-199,-1023,-1833,-2638,-3415,-4168,-4907,-5609,-6292,-6932,-7524,-8072,-8567,-9008,-9385,-9697,-9949,-10141,
-10275,-10347,-10363,-10308,-10193,-10005,-9753,-9436,-9062,-8636,-8168,-7653,-7102,-6527,-5921,-5293,-4637,-3967,-3281,-2589,
-1892,-1190,-489,191,874,1538,2194,2832,3446,4065,4662,5248,5804,6346,6854,7327,7763,8160,8511,8818,
9078,9296,9453,9555,9595,9584,9502,9361,9136,8857,8510,8109,7644,7139,6581,5989,5355,4688,3993,3259,
2496,1712,921,125,-672,-1456,-2223,-2968,-3696,-4400,-5071,-5717,-6338,-6920,-7455,-7946,-8374,-8751,-9071,-9315,
-9506,-9639,-9703,-9723,-9675,-9567,-9405,-9176,-8880,-8548,-8140,-7695,-7205,-6681,-6126,-5542,-4944,-4324,-3694,-3038,
-2379,-1713,-1047,-380,295,949,1603,2244,2875,3490,4088,4686,5270,5833,6380,6905,7405,7872,8305,8685,
9029,9332,9569,9761,9904,9984,9996,9952,9843,9666,9415,9096,8718,8274,7764,7213,6620,5981,5304,4600,
3862,3095,2298,1481,652,-180,-1016,-1834,-2641,-3418,-4168,-4899,-5594,-6256,-6893,-7488,-8042,-8550,-9001,-9396,
-9723,-9985,-10190,-10334,-10404,-10411,-10373,-10273,-10096,-9871,-9570,-9227,-8810,-8354,-7842,-7300,-6715,-6115,-5482,-4843,
-4177,-3511,-2825,-2129,-1434,-741,-41,636,1315,1971,2625,3252,3859,4454,5043,5600,6143,6661,7147,7603,
8016,8388,8706,8973,9192,9355,9463,9513,9505,9439,9313,9114,8850,8530,8137,7688,7185,6630,6038,5414,
4746,4060,3344,2598,1842,1061,273,-527,-1316,-2088,-2848,-3578,-4292,-4962,-5604,-6209,-6783,-7317,-7809,-8247,
-8633,-8968,-9240,-9443,-9581,-9655,-9662,-9608,-9509,-9348,-9128,-8849,-8517,-8132,-7689,-7204,-6681,-6122,-5534,-4926,
-4298,-3668,-3013,-2356,-1688,-1025,-355,317,987,1640,2295,2931,3558,4165,4759,5343,5906,6452,6980,7491,
7960,8410,8807,9166,9478,9733,9938,10082,10164,10191,10149,10055,9893,9663,9373,9015,8590,8111,7563,6973,
6332,5663,4957,4225,3473,2695,1894,1080,266,-564,-1393,-2204,-2991,-3758,-4498,-5199,-5868,-6494,-7089,-7640,
-8155,-8617,-9022,-9379,-9666,-9886,-10042,-10135,-10152,-10118,-10015,-9855,-9641,-9370,-9043,-8660,-8222,-7738,-7210,-6646,
-6051,-5434,-4790,-4142,-3473,-2806,-2128,-1453,-769,-91,593,1261,1925,2571,3196,3814,4401,4981,5537,6059,
6573,7053,7507,7922,8293,8616,8900,9114,9278,9381,9430,9407,9332,9192,9004,8744,8416,8044,7593,7093,
6535,5929,5285,4598,3891,3170,2411,1645,866,73,-725,-1521,-2321,-3098,-3854,-4581,-5284,-5948,-6574,-7155,
-7699,-8192,-8647,-9050,-9402,-9699,-9933,-10100,-10199,-10228,-10198,-10102,-9945,-9729,-9456,-9138,-8763,-8346,-7874,-7361,
-6808,-6226,-5616,-4978,-4326,-3677,-3003,-2333,-1665,-995,-317,349,1028,1684,2343,2979,3607,4216,4806,5387,
5940,6467,6985,7466,7921,8343,8722,9063,9343,9565,9730,9835,9881,9856,9778,9625,9424,9152,8823,8441,
7984,7481,6910,6297,5634,4941,4220,3477,2713,1934,1149,357,-447,-1243,-2045,-2818,-3588,-4318,-5024,-5688,
-6313,-6888,-7432,-7917,-8366,-8752,-9100,-9398,-9619,-9783,-9881,-9904,-9857,-9753,-9583,-9365,-9080,-8743,-8367,-7931,
-7441,-6921,-6358,-5762,-5137,-4484,-3818,-3145,-2462,-1779,-1089,-411,278,963,1640,2306,2968,3608,4248,4847,
5436,5996,6543,7046,7530,7986,8413,8794,9126,9418,9661,9838,9956,10014,10009,9929,9787,9589,9341,9023,
8653,8224,7730,7193,6594,5949,5269,4556,3810,3053,2271,1489,696,-102,-895,-1689,-2471,-3240,-3987,-4706,
-5394,-6039,-6642,-7197,-7699,-8161,-8567,-8928,-9238,-9494,-9680,-9804,-9864,-9858,-9773,-9629,-9422,-9169,-8850,-8488,
-8081,-7632,-7137,-6602,-6035,-5439,-4819,-4173,-3512,-2853,-2186,-1517,-851,-190,470,1131,1776,2419,3064,3676,
4291,4877,5444,5998,6520,7017,7496,7932,8343,8709,9032,9309,9545,9708,9822,9866,9844,9754,9592,9376,
9100,8764,8371,7923,7421,6854,6242,5583,4889,4155,3393,2612,1824,1024,215,-584,-1383,-2180,-2966,-3734,
-4484,-5202,-5898,-6542,-7140,-7698,-8205,-8650,-9054,-9403,-9707,-9948,-10128,-10245,-10296,-10275,-10195,-10037,-9822,-9553,
-9220,-8840,-8422,-7949,-7439,-6896,-6320,-5700,-5068,-4401,-3727,-3041,-2350,-1662,-970,-297,384,1061,1721,2379,
3031,3662,4289,4882,5456,6011,6537,7028,7489,7914,8312,8656,8956,9217,9423,9566,9647,9665,9616,9498,
9310,9070,8764,8403,7990,7529,7019,6456,5838,5178,4480,3757,3004,2238,1452,666,-121,-903,-1670,-2432,
-3188,-3912,-4629,-5310,-5962,-6573,-7130,-7634,-8103,-8504,-8860,-9154,-9400,-9588,-9713,-9770,-9784,-9706,-9576,-9381,
-9119,-8805,-8437,-8018,-7565,-7060,-6529,-5964,-5372,-4753,-4115,-3449,-2784,-2111,-1425,-756,-79,579,1240,1893,
2534,3166,3793,4399,4999,5576,6132,6668,7174,7645,8097,8498,8866,9191,9472,9710,9886,10010,10075,10068,
9995,9850,9633,9366,9029,8635,8193,7696,7152,6556,5912,5227,4506,3751,2962,2168,1358,545,-269,-1070,
-1859,-2641,-3410,-4150,-4884,-5570,-6243,-6876,-7440,-7969,-8432,-8844,-9199,-9496,-9741,-9936,-10056,-10128,-10127,-10064,
-9934,-9739,-9482,-9172,-8794,-8374,-7911,-7409,-6865,-6298,-5699,-5081,-4434,-3764,-3092,-2407,-1711,-1021,-339,338,
1009,1666,2322,2962,3595,4207,4820,5397,5956,6493,6993,7463,7899,8290,8647,8946,9203,9418,9574,9669,
9711,9678,9588,9414,9183,8889,8534,8115,7655,7150,6589,5993,5348,4673,3959,3212,2444,1652,859,59,
-730,-1514,-2275,-3028,-3755,-4462,-5146,-5805,-6430,-7008,-7539,-8020,-8447,-8811,-9131,-9381,-9569,-9710,-9785,-9796,
-9759,-9644,-9472,-9227,-8937,-8589,-8179,-7728,-7242,-6714,-6150,-5573,-4968,-4344,-3702,-3041,-2371,-1696,-1015,-345,
321,979,1625,2269,2896,3511,4114,4706,5284,5843,6379,6895,7379,7826,8240,8614,8942,9224,9455,9643,
9777,9840,9852,9799,9678,9484,9224,8901,8517,8062,7572,7025,6435,5803,5134,4434,3700,2928,2136,1329,
507,-316,-1124,-1930,-2708,-3474,-4213,-4929,-5615,-6274,-6900,-7485,-8025,-8511,-8938,-9306,-9612,-9855,-10047,-10173,
-10233,-10247,-10189,-10067,-9891,-9645,-9344,-8978,-8555,-8094,-7587,-7045,-6471,-5871,-5253,-4617,-3955,-3280,-2601,-1898,
-1209,-519,169,850,1517,2178,2813,3447,4067,4665,5252,5815,6355,6871,7356,7798,8212,8575,8885,9140,
9355,9519,9624,9669,9657,9576,9434,9211,8932,8591,8186,7720,7211,6649,6055,5420,4743,4039,3308,2550,
1769,976,174,-633,-1423,-2215,-2965,-3698,-4410,-5082,-5736,-6357,-6944,-7491,-7981,-8429,-8815,-9135,-9404,-9602,
-9741,-9817,-9833,-9789,-9697,-9528,-9307,-9031,-8695,-8305,-7846,-7360,-6836,-6270,-5681,-5071,-4445,-3803,-3153,-2478,
-1809,-1128,-452,224,891,1554,2204,2845,3459,4077,4666,5253,5817,6352,6879,7378,7840,8272,8664,9008,
9300,9538,9728,9863,9941,9958,9919,9811,9651,9408,9104,8741,8308,7810,7272,6687,6058,5394,4698,3971,
3215,2434,1647,841,16,-800,-1611,-2400,-3171,-3920,-4637,-5325,-5977,-6602,-7188,-7730,-8219,-8677,-9064,-9393,
-9651,-9852,-9987,-10063,-10065,-10017,-9909,-9741,-9515,-9228,-8885,-8486,-8037,-7537,-7010,-6439,-5837,-5214,-4583,-3936,
-3268,-2590,-1913,-1221,-532,154,831,1507,2163,2815,3439,4056,4652,5226,5787,6326,6840,7329,7774,8187,
8560,8876,9142,9350,9503,9610,9643,9623,9542,9404,9199,8928,8595,8199,7738,7224,6666,6057,5412,4726,
4018,3293,2540,1767,983,186,-621,-1425,-2217,-2995,-3736,-4463,-5147,-5794,-6414,-6995,-7541,-8037,-8492,-8890,
-9237,-9518,-9737,-9884,-9974,-9991,-9944,-9848,-9684,-9464,-9191,-8861,-8479,-8048,-7566,-7033,-6470,-5872,-5253,-4619,
-3958,-3307,-2638,-1958,-1277,-596,83,766,1434,2097,2755,3392,4013,4623,5210,5776,6329,6847,7351,7830,
8271,8675,9042,9347,9610,9813,9955,10050,10071,10042,9954,9797,9576,9298,8954,8551,8081,7554,6979,6360,
5701,5005,4289,3546,2785,2004,1223,417,-392,-1197,-1999,-2775,-3537,-4260,-4948,-5603,-6222,-6807,-7343,-7845,
-8287,-8689,-9034,-9317,-9534,-9690,-9777,-9799,-9754,-9655,-9488,-9267,-9001,-8669,-8299,-7867,-7388,-6876,-6317,-5725,
-5118,-4477,-3832,-3175,-2510,-1839,-1171,-491,185,860,1527,2184,2831,3459,4069,4671,5239,5795,6324,6819,
7300,7748,8157,8527,8852,9133,9356,9509,9614,9651,9623,9537,9397,9192,8926,8599,8215,7769,7263,6702,
6102,5442,4747,4028,3287,2542,1762,978,186,-611,-1414,-2215,-3004,-3766,-4503,-5216,-5887,-6522,-7109,-7655,
-8163,-8619,-9020,-9384,-9678,-9913,-10092,-10206,-10243,-10215,-10119,-9966,-9753,-9481,-9163,-8784,-8368,-7905,-7387,-6837,
-6248,-5633,-4994,-4343,-3679,-3001,-2325,-1641,-967,-282,390,1066,1731,2386,3033,3669,4273,4874,5448,6001,
6525,7028,7510,7953,8356,8732,9057,9341,9564,9723,9824,9871,9837,9754,9612,9396,9137,8810,8417,7979,
7474,6912,6308,5660,4966,4259,3498,2747,1980,1192,408,-387,-1173,-1963,-2736,-3495,-4224,-4936,-5593,-6225,
-6796,-7344,-7832,-8278,-8674,-9024,-9303,-9538,-9702,-9809,-9849,-9806,-9705,-9551,-9330,-9050,-8727,-8354,-7938,-7478,
-6964,-6424,-5845,-5235,-4595,-3948,-3287,-2617,-1947,-1277,-607,62,729,1391,2045,2690,3330,3950,4551,5130,
5686,6226,6724,7200,7653,8061,8430,8768,9056,9293,9471,9586,9645,9634,9548,9414,9212,8956,8632,8258,
7824,7341,6803,6205,5570,4885,4171,3416,2650,1876,1083,288,-504,-1296,-2088,-2876,-3642,-4384,-5117,-5805,
-6451,-7061,-7621,-8142,-8600,-9005,-9366,-9678,-9924,-10117,-10245,-10306,-10307,-10232,-10091,-9889,-9628,-9309,-8940,-8528,
-8072,-7566,-7030,-6459,-5851,-5216,-4566,-3899,-3225,-2546,-1855,-1183,-506,175,837,1505,2155,2801,3440,4055,
4659,5242,5805,6346,6848,7322,7770,8188,8557,8897,9187,9423,9606,9720,9778,9778,9693,9560,9356,9096,
8778,8398,7971,7489,6951,6366,5734,5055,4346,3603,2841,2072,1283,499,-288,-1070,-1839,-2613,-3358,-4088,
-4792,-5477,-6109,-6702,-7239,-7751,-8190,-8577,-8916,-9206,-9432,-9611,-9712,-9765,-9749,-9660,-9503,-9299,-9023,-8694,
-8312,-7896,-7432,-6928,-6384,-5816,-5210,-4579,-3930,-3267,-2595,-1914,-1225,-550,130,802,1468,2121,2767,3402,
4025,4644,5231,5811,6354,6875,7360,7813,8235,8611,8955,9249,9495,9695,9823,9899,9913,9863,9729,9538,
9286,8976,8602,8174,7693,7164,6589,5969,5302,4594,3855,3092,2307,1511,698,-96,-891,-1680,-2460,-3227,
-3970,-4691,-5390,-6063,-6680,-7268,-7798,-8284,-8703,-9071,-9384,-9639,-9831,-9975,-10055,-10075,-10022,-9907,-9722,-9476,
-9176,-8813,-8405,-7950,-7466,-6938,-6378,-5795,-5174,-4534,-3875,-3210,-2538,-1853,-1170,-493,177,846,1498,2138,
2772,3401,4016,4609,5191,5757,6293,6801,7273,7720,8125,8494,8821,9108,9339,9528,9653,9722,9722,9667,
9526,9333,9075,8756,8364,7944,7455,6925,6344,5728,5061,4362,3622,2856,2072,1283,482,-312,-1096,-1869,
-2632,-3381,-4111,-4809,-5492,-6142,-6743,-7304,-7817,-8280,-8684,-9026,-9319,-9552,-9722,-9837,-9889,-9887,-9821,-9685,
-9484,-9225,-8905,-8530,-8109,-7649,-7143,-6607,-6035,-5437,-4817,-4178,-3516,-2839,-2158,-1476,-790,-109,573,1241,
1902,2549,3183,3807,4422,5018,5595,6158,6691,7188,7656,8087,8480,8821,9118,9371,9571,9716,9813,9839,
9806,9706,9531,9301,9001,8635,8204,7731,7209,6638,6027,5383,4693,3969,3212,2430,1637,830,19,-787,
-1586,-2369,-3129,-3877,-4596,-5281,-5951,-6578,-7174,-7729,-8219,-8663,-9044,-9368,-9631,-9843,-9978,-10066,-10092,-10059,
-9955,-9798,-9570,-9287,-8937,-8541,-8092,-7607,-7083,-6523,-5940,-5335,-4699,-4053,-3383,-2721,-2031,-1345,-664,6,
687,1343,1992,2625,3245,3859,4459,5033,5598,6148,6669,7151,7602,8019,8398,8729,9009,9250,9431,9568,
9627,9647,9602,9485,9304,9061,8748,8373,7939,7456,6929,6354,5733,5085,4392,3679,2929,2157,1367,566,
-238,-1030,-1813,-2582,-3330,-4055,-4754,-5416,-6064,-6670,-7235,-7756,-8229,-8652,-9010,-9303,-9545,-9724,-9831,-9891,
-9879,-9822,-9695,-9508,-9266,-8965,-8603,-8184,-7721,-7217,-6675,-6102,-5500,-4888,-4247,-3594,-2920,-2246,-1562,-879,
-182,496,1180,1835,2500,3138,3765,4377,4973,5547,6110,6643,7162,7642,8084,8481,8843,9150,9407,9619,
9771,9864,9899,9880,9793,9649,9430,9152,8802,8390,7918,7395,6834,6218,5568,4888,4180,3438,2674,1887,
1084,274,-544,-1347,-2137,-2906,-3661,-4381,-5079,-5735,-6369,-6960,-7516,-8029,-8488,-8892,-9234,-9510,-9727,-9878,
-9964,-9996,-9963,-9877,-9726,-9519,-9246,-8919,-8534,-8101,-7623,-7101,-6543,-5951,-5344,-4725,-4084,-3426,-2756,-2082,
-1407,-721,-41,634,1301,1957,2601,3224,3832,4428,5008,5559,6107,6629,7125,7584,8006,8393,8734,9027,
9264,9454,9581,9656,9670,9632,9522,9355,9121,8831,8474,8055,7573,7037,6471,5849,5197,4519,3812,3067,
2308,1529,738,-59,-869,-1655,-2435,-3197,-3930,-4636,-5308,-5937,-6552,-7113,-7636,-8122,-8551,-8930,-9243,-9495,
-9697,-9810,-9873,-9869,-9809,-9694,-9515,-9280,-8989,-8650,-8248,-7800,-7302,-6767,-6193,-5599,-4978,-4343,-3687,-3026,
-2352,-1675,-993,-309,383,1061,1734,2397,3046,3677,4285,4890,5472,6024,6569,7077,7568,8017,8431,8806,
9132,9406,9629,9787,9887,9932,9910,9831,9700,9497,9231,8906,8514,8064,7552,6981,6384,5733,5050,4341,
3601,2854,2078,1293,489,-317,-1127,-1921,-2702,-3459,-4203,-4901,-5571,-6198,-6792,-7339,-7852,-8307,-8728,-9088,
-9383,-9617,-9787,-9896,-9924,-9896,-9811,-9666,-9461,-9203,-8889,-8520,-8105,-7639,-7125,-6576,-5995,-5381,-4749,-4109,
-3443,-2781,-2112,-1439,-761,-84,588,1253,1921,2569,3206,3817,4416,4998,5563,6101,6615,7109,7574,7998,
8390,8739,9045,9297,9486,9627,9702,9718,9674,9568,9407,9183,8896,8559,8153,7686,7160,6577,5961,5303,
4608,3894,3147,2389,1615,830,33,-760,-1569,-2356,-3126,-3880,-4603,-5291,-5941,-6549,-7129,-7656,-8140,-8573,
-8967,-9305,-9581,-9796,-9948,-10021,-10040,-9985,-9878,-9707,-9482,-9198,-8869,-8490,-8049,-7576,-7052,-6498,-5904,-5288,
-4653,-4005,-3337,-2673,-1997,-1324,-651,33,704,1371,2033,2690,3325,3942,4545,5134,5689,6224,6734,7221,
7682,8094,8468,8812,9097,9332,9512,9632,9681,9673,9598,9466,9269,9014,8708,8337,7907,7415,6870,6273,
5639,4954,4241,3513,2761,1989,1206,416,-369,-1166,-1965,-2736,-3501,-4240,-4950,-5625,-6266,-6853,-7407,-7911,
-8365,-8774,-9139,-9442,-9685,-9868,-9987,-10031,-10014,-9927,-9789,-9577,-9314,-8993,-8638,-8216,-7756,-7254,-6704,-6131,
-5522,-4883,-4231,-3562,-2890,-2212,-1531,-855,-180,501,1176,1832,2491,3134,3769,4377,4973,5547,6091,6610,
7110,7581,8012,8410,8769,9100,9370,9581,9743,9833,9866,9828,9735,9581,9362,9085,8756,8367,7915,7412,
6856,6249,5607,4916,4195,3451,2692,1918,1133,342,-439,-1226,-2013,-2782,-3537,-4267,-4970,-5634,-6261,-6841,
-7382,-7860,-8301,-8692,-9031,-9315,-9538,-9696,-9799,-9831,-9791,-9697,-9531,-9314,-9035,-8700,-8326,-7905,-7440,-6928,
-6383,-5805,-5201,-4568,-3920,-3256,-2579,-1908,-1232,-566,106,780,1443,2101,2751,3382,4011,4612,5195,5765,
6306,6819,7307,7756,8175,8553,8895,9188,9434,9627,9758,9820,9830,9760,9629,9441,9192,8876,8513,8089,
7616,7087,6503,5873,5206,4494,3755,2992,2222,1430,633,-157,-948,-1731,-2506,-3265,-4017,-4739,-5428,-6085,
-6704,-7265,-7787,-8247,-8660,-9030,-9331,-9586,-9785,-9922,-9994,-9993,-9930,-9801,-9604,-9354,-9038,-8686,-8276,-7828,
-7336,-6799,-6243,-5651,-5021,-4376,-3719,-3045,-2363,-1681,-1004,-328,340,1005,1660,2317,2956,3583,4197,4790,
5364,5930,6454,6946,7422,7852,8251,8607,8922,9198,9420,9580,9694,9739,9721,9629,9477,9262,8989,8646,
8268,7824,7326,6784,6195,5560,4884,4163,3416,2650,1874,1073,281,-506,-1289,-2071,-2836,-3586,-4312,-5020,
-5702,-6346,-6938,-7489,-7992,-8436,-8832,-9166,-9456,-9685,-9852,-9966,-10024,-9997,-9923,-9773,-9568,-9294,-8968,-8594,
-8171,-7708,-7213,-6675,-6110,-5517,-4893,-4251,-3592,-2921,-2238,-1561,-878,-208,457,1123,1770,2418,3058,3678,
4291,4879,5454,6005,6530,7017,7478,7900,8285,8618,8915,9175,9371,9509,9603,9628,9582,9465,9291,9048,
8743,8377,7956,7492,6972,6406,5794,5140,4453,3725,2965,2195,1400,605,-194,-986,-1765,-2539,-3294,-4031,
-4743,-5437,-6100,-6722,-7295,-7830,-8311,-8732,-9096,-9404,-9663,-9857,-10001,-10076,-10098,-10036,-9930,-9750,-9521,-9220,
-8858,-8447,-7999,-7501,-6974,-6413,-5827,-5211,-4577,-3913,-3246,-2564,-1872,-1183,-496,184,853,1521,2167,2817,
3447,4062,4666,5256,5815,6373,6870,7350,7803,8206,8577,8895,9177,9408,9588,9710,9777,9774,9717,9578,
9385,9122,8798,8413,7984,7495,6963,6383,5762,5099,4404,3673,2923,2142,1360,556,-240,-1029,-1802,-2572,
-3310,-4033,-4731,-5402,-6050,-6656,-7211,-7730,-8193,-8593,-8939,-9232,-9470,-9636,-9748,-9806,-9798,-9732,-9604,-9410,
-9160,-8846,-8471,-8056,-7598,-7095,-6563,-5997,-5412,-4798,-4163,-3508,-2848,-2167,-1486,-801,-126,547,1213,1868,
2508,3143,3767,4373,4967,5533,6082,6622,7112,7580,8009,8395,8736,9033,9285,9482,9627,9715,9753,9714,
9620,9452,9217,8926,8566,8144,7678,7151,6586,5972,5333,4643,3926,3182,2410,1617,810,0,-802,-1603,
-2385,-3144,-3877,-4596,-5286,-5949,-6577,-7169,-7715,-8218,-8661,-9052,-9382,-9647,-9857,-10005,-10079,-10106,-10077,-9973,
-9812,-9595,-9323,-8979,-8580,-8143,-7655,-7119,-6565,-5971,-5365,-4734,-4085,-3421,-2747,-2055,-1365,-679,16,693,
1370,2029,2665,3308,3927,4525,5119,5682,6223,6755,7243,7707,8128,8508,8843,9118,9352,9533,9665,9732,
9753,9704,9596,9406,9169,8860,8492,8054,7581,7047,6473,5854,5201,4523,3808,3064,2299,1521,726,-77,
-877,-1663,-2428,-3179,-3900,-4598,-5264,-5902,-6507,-7073,-7592,-8064,-8486,-8849,-9151,-9386,-9574,-9683,-9738,-9732,
-9667,-9542,-9366,-9120,-8829,-8470,-8055,-7607,-7106,-6569,-6008,-5408,-4795,-4166,-3514,-2859,-2188,-1505,-826,-139,
528,1204,1865,2514,3145,3767,4370,4961,5533,6084,6614,7124,7594,8038,8435,8794,9096,9356,9552,9710,
9797,9831,9806,9721,9574,9355,9076,8732,8326,7858,7340,6769,6156,5509,4827,4127,3385,2618,1840,1036,
231,-588,-1395,-2186,-2965,-3721,-4439,-5135,-5795,-6431,-7026,-7578,-8084,-8545,-8954,-9302,-9587,-9805,-9971,-10063,
-10093,-10067,-9981,-9830,-9622,-9359,-9045,-8669,-8237,-7764,-7244,-6687,-6108,-5496,-4875,-4227,-3574,-2901,-2231,-1543,
-865,-176,499,1174,1838,2496,3126,3746,4347,4929,5490,6030,6555,7054,7509,7946,8332,8672,8967,9202,
9391,9530,9603,9619,9578,9471,9305,9075,8779,8435,8012,7540,7011,6440,5820,5164,4482,3777,3040,2277,
1515,726,-67,-863,-1658,-2436,-3192,-3929,-4627,-5305,-5937,-6543,-7105,-7624,-8101,-8534,-8904,-9219,-9475,-9666,
-9801,-9852,-9848,-9789,-9662,-9482,-9244,-8958,-8613,-8217,-7771,-7280,-6748,-6179,-5586,-4960,-4328,-3678,-3014,-2344,
-1668,-994,-310,365,1045,1715,2378,3025,3653,4265,4864,5436,5991,6527,7034,7520,7965,8380,8746,9077,
9350,9560,9732,9834,9878,9859,9783,9646,9448,9186,8862,8480,8032,7537,6983,6382,5732,5048,4338,3609,
2853,2069,1292,504,-297,-1108,-1910,-2685,-3450,-4192,-4882,-5553,-6187,-6778,-7326,-7834,-8298,-8710,-9064,-9375,
-9611,-9791,-9904,-9950,-9924,-9844,-9697,-9490,-9232,-8930,-8572,-8157,-7697,-7200,-6656,-6074,-5471,-4844,-4208,-3551,
-2892,-2218,-1548,-868,-196,477,1145,1801,2460,3094,3714,4323,4897,5462,5999,6518,7007,7472,7891,8286,
8633,8942,9189,9387,9529,9610,9619,9581,9471,9312,9086,8808,8465,8067,7607,7086,6530,5913,5257,4562,
3851,3115,2356,1588,818,34,-756,-1547,-2329,-3092,-3841,-4555,-5236,-5887,-6495,-7061,-7579,-8053,-8476,-8866,
-9186,-9456,-9658,-9811,-9882,-9898,-9837,-9721,-9540,-9315,-9026,-8695,-8306,-7865,-7384,-6870,-6306,-5714,-5098,-4459,
-3805,-3144,-2464,-1794,-1115,-429,241,920,1579,2248,2904,3543,4163,4767,5355,5917,6451,6963,7451,7901,
8316,8704,9041,9334,9565,9746,9866,9930,9918,9855,9716,9537,9281,8973,8601,8184,7692,7163,6572,5942,
5263,4547,3817,3064,2286,1507,721,-70,-866,-1659,-2438,-3199,-3945,-4664,-5344,-5993,-6593,-7152,-7663,-8125,
-8540,-8914,-9215,-9474,-9659,-9796,-9853,-9857,-9788,-9659,-9462,-9212,-8905,-8555,-8155,-7707,-7221,-6698,-6133,-5534,
-4917,-4273,-3622,-2953,-2285,-1606,-949,-276,393,1054,1710,2356,2994,3622,4228,4820,5388,5936,6446,6934,
7393,7825,8208,8565,8872,9140,9340,9492,9579,9609,9570,9467,9309,9087,8807,8460,8071,7625,7112,6571,
5968,5316,4626,3914,3162,2407,1631,849,67,-721,-1504,-2279,-3048,-3792,-4515,-5217,-5882,-6508,-7082,-7619,
-8103,-8529,-8912,-9245,-9516,-9730,-9890,-9995,-10026,-9990,-9879,-9723,-9486,-9212,-8879,-8489,-8064,-7597,-7082,-6541,
-5961,-5349,-4714,-4058,-3404,-2727,-2037,-1368,-678,4,673,1341,1994,2645,3289,3914,4524,5125,5691,6233,
6751,7241,7696,8121,8499,8847,9143,9392,9584,9719,9793,9805,9743,9631,9441,9198,8889,8519,8103,7634,
7115,6543,5927,5268,4564,3833,3072,2299,1509,715,-75,-864,-1650,-2425,-3186,-3925,-4649,-5340,-5999,-6615,
-7181,-7709,-8179,-8598,-8960,-9281,-9530,-9729,-9868,-9953,-9966,-9908,-9794,-9620,-9368,-9072,-8723,-8320,-7880,-7395,
-6869,-6328,-5727,-5123,-4480,-3826,-3164,-2487,-1796,-1121,-446,231,898,1553,2206,2847,3480,4092,4687,5272,
5833,6357,6852,7325,7759,8155,8506,8823,9093,9314,9475,9576,9628,9605,9520,9376,9160,8882,8543,8150,
7709,7219,6676,6096,5459,4788,4077,3326,2570,1796,1001,214,-569,-1358,-2122,-2886,-3628,-4351,-5047,-5722,
-6354,-6950,-7498,-7999,-8441,-8827,-9164,-9441,-9657,-9815,-9927,-9973,-9956,-9871,-9720,-9506,-9232,-8909,-8529,-8101,
-7633,-7127,-6587,-6020,-5408,-4791,-4143,-3483,-2808,-2124,-1428,-750,-63,617,1282,1941,2582,3224,3859,4466,
5064,5646,6199,6729,7218,7678,8106,8489,8832,9130,9381,9581,9725,9811,9840,9799,9697,9521,9282,8989,
8618,8208,7738,7226,6658,6063,5410,4726,4001,3250,2476,1686,888,97,-708,-1487,-2264,-3021,-3764,-4471,
-5162,-5822,-6447,-7030,-7567,-8059,-8488,-8858,-9183,-9437,-9636,-9782,-9861,-9883,-9850,-9748,-9586,-9358,-9064,-8717,
-8326,-7881,-7408,-6878,-6327,-5741,-5132,-4507,-3852,-3195,-2520,-1837,-1146,-468,210,882,1546,2199,2837,3463,
4077,4672,5262,5822,6360,6869,7348,7790,8198,8564,8878,9150,9377,9543,9653,9713,9707,9635,9506,9306,
9045,8720,8328,7883,7395,6848,6263,5651,4986,4293,3562,2801,2025,1241,436,-359,-1157,-1932,-2701,-3448,
-4167,-4863,-5542,-6171,-6778,-7340,-7856,-8322,-8732,-9080,-9371,-9603,-9769,-9885,-9934,-9932,-9866,-9733,-9547,-9296,
-8984,-8617,-8202,-7740,-7239,-6698,-6133,-5545,-4927,-4297,-3642,-2978,-2302,-1615,-929,-247,436,1099,1769,2409,
3040,3664,4275,4866,5436,5997,6530,7027,7494,7924,8323,8669,8971,9221,9427,9578,9665,9695,9667,9577,
9422,9201,8917,8566,8154,7680,7172,6609,6007,5369,4698,3989,3245,2479,1708,912,107,-685,-1485,-2255,
-3021,-3759,-4475,-5156,-5813,-6438,-7024,-7563,-8067,-8514,-8904,-9223,-9499,-9708,-9853,-9934,-9953,-9933,-9834,-9676,
-9462,-9186,-8861,-8467,-8029,-7554,-7032,-6473,-5899,-5283,-4658,-4016,-3358,-2684,-2008,-1311,-628,55,743,1410,
2074,2718,3342,3953,4562,5140,5711,6254,6767,7260,7713,8133,8513,8835,9118,9347,9525,9640,9699,9706,
9660,9541,9358,9115,8806,8442,8011,7518,6986,6404,5779,5131,4441,3728,2982,2220,1436,641,-157,-956,
-1746,-2520,-3272,-4006,-4702,-5368,-6007,-6605,-7176,-7690,-8173,-8598,-8963,-9273,-9517,-9699,-9819,-9868,-9873,-9808,
-9685,-9504,-9274,-8980,-8631,-8218,-7777,-7282,-6753,-6181,-5598,-4984,-4346,-3698,-3049,-2377,-1705,-1020,-345,333,
1019,1678,2329,2965,3590,4192,4786,5362,5916,6446,6953,7421,7864,8264,8626,8935,9199,9411,9569,9655,
9697,9679,9598,9455,9252,8983,8654,8258,7801,7300,6745,6133,5498,4831,4124,3399,2642,1881,1092,301,
-512,-1294,-2090,-2861,-3613,-4333,-5016,-5667,-6298,-6875,-7421,-7921,-8381,-8790,-9125,-9414,-9640,-9790,-9889,-9917,
-9888,-9799,-9656,-9436,-9180,-8854,-8495,-8077,-7601,-7093,-6538,-5950,-5345,-4723,-4065,-3415,-2744,-2073,-1388,-702,
-22,653,1333,1994,2654,3283,3905,4516,5093,5651,6202,6719,7217,7669,8096,8483,8834,9120,9365,9546,
9678,9739,9750,9704,9594,9418,9196,8901,8550,8134,7659,7125,6557,5930,5275,4590,3872,3135,2371,1603,
823,28,-774,-1560,-2340,-3106,-3847,-4553,-5234,-5880,-6484,-7041,-7562,-8044,-8483,-8857,-9180,-9446,-9645,-9779,
-9854,-9852,-9799,-9687,-9507,-9272,-8995,-8651,-8261,-7826,-7348,-6822,-6266,-5673,-5060,-4428,-3783,-3119,-2454,-1786,
-1111,-433,239,907,1576,2233,2882,3516,4120,4710,5287,5835,6371,6875,7348,7791,8199,8573,8893,9168,
9396,9559,9667,9703,9687,9614,9471,9268,9016,8704,8325,7882,7386,6845,6242,5601,4925,4223,3491,2746,
1976,1199,416,-378,-1177,-1959,-2738,-3496,-4230,-4934,-5604,-6236,-6822,-7367,-7872,-8327,-8738,-9094,-9392,-9632,
-9807,-9921,-9968,-9943,-9866,-9720,-9517,-9258,-8956,-8589,-8182,-7727,-7229,-6692,-6119,-5513,-4883,-4236,-3572,-2907,
-2235,-1561,-885,-201,475,1147,1813,2474,3107,3736,4345,4933,5502,6038,6561,7051,7518,7937,8331,8688,
8992,9235,9437,9582,9663,9673,9627,9521,9356,9122,8850,8507,8107,7643,7134,6572,5963,5300,4618,3903,
3157,2403,1623,846,59,-727,-1508,-2290,-3049,-3794,-4521,-5210,-5858,-6474,-7046,-7564,-8042,-8472,-8851,-9183,
-9452,-9667,-9815,-9896,-9920,-9869,-9763,-9596,-9362,-9074,-8741,-8355,-7929,-7457,-6942,-6399,-5812,-5192,-4562,-3905,
-3247,-2571,-1899,-1223,-544,130,803,1465,2125,2774,3419,4030,4635,5223,5783,6316,6829,7306,7756,8168,
8545,8871,9167,9399,9590,9702,9770,9759,9695,9565,9371,9116,8811,8449,8026,7545,7012,6431,5808,5137,
4433,3700,2945,2183,1396,619,-164,-956,-1735,-2509,-3266,-4009,-4730,-5406,-6046,-6652,-7210,-7711,-8177,-8584,
-8950,-9252,-9493,-9693,-9833,-9881,-9879,-9812,-9687,-9493,-9241,-8942,-8590,-8189,-7741,-7255,-6725,-6170,-5574,-4951,
-4315,-3653,-2985,-2305,-1634,-951,-279,400,1057,1716,2377,3020,3652,4262,4853,5437,5989,6504,7009,7467,
7888,8280,8630,8946,9198,9408,9569,9659,9697,9654,9552,9393,9170,8882,8555,8157,7715,7208,6655,6064,
5421,4732,4028,3285,2518,1741,956,171,-613,-1395,-2170,-2930,-3669,-4401,-5099,-5773,-6390,-6977,-7515,-8001,
-8436,-8814,-9149,-9427,-9640,-9802,-9903,-9940,-9912,-9814,-9660,-9436,-9153,-8827,-8453,-8019,-7555,-7043,-6511,-5935,
-5332,-4696,-4052,-3387,-2713,-2029,-1352,-668,5,676,1338,1999,2650,3297,3914,4523,5115,5690,6222,6747,
7235,7689,8104,8474,8813,9108,9352,9542,9682,9758,9770,9712,9597,9416,9173,8865,8515,8090,7629,7104,
6542,5934,5279,4585,3866,3112,2338,1550,762,-26,-798,-1582,-2345,-3098,-3839,-4554,-5241,-5888,-6496,-7070,
-7588,-8063,-8474,-8844,-9159,-9407,-9598,-9741,-9817,-9826,-9779,-9662,-9490,-9247,-8949,-8599,-8211,-7760,-7279,-6751,
-6204,-5626,-5011,-4379,-3732,-3061,-2385,-1696,-1026,-345,324,1007,1657,2313,2960,3583,4197,4802,5383,5946,
6473,6974,7446,7885,8279,8631,8944,9210,9420,9589,9703,9748,9732,9649,9501,9291,9016,8677,8287,7842,
7354,6812,6223,5595,4925,4218,3493,2721,1944,1151,357,-427,-1214,-1996,-2751,-3490,-4216,-4920,-5594,-6230,
-6825,-7382,-7880,-8332,-8724,-9065,-9344,-9575,-9738,-9849,-9898,-9883,-9807,-9664,-9468,-9205,-8878,-8503,-8087,-7616,
-7113,-6583,-6019,-5422,-4799,-4160,-3508,-2825,-2154,-1465,-789,-105,567,1237,1892,2542,3173,3796,4408,4992,
5571,6120,6636,7139,7597,8021,8399,8739,9031,9282,9472,9621,9710,9737,9698,9590,9421,9189,8894,8535,
8120,7657,7138,6576,5975,5335,4667,3945,3205,2434,1657,854,53,-734,-1514,-2291,-3037,-3775,-4486,-5173,
-5826,-6447,-7030,-7567,-8057,-8489,-8866,-9192,-9450,-9656,-9785,-9881,-9898,-9854,-9756,-9598,-9377,-9099,-8754,-8366,
-7926,-7440,-6923,-6377,-5800,-5197,-4565,-3922,-3264,-2589,-1908,-1228,-546,135,808,1473,2121,2764,3392,4007,
4599,5190,5749,6289,6803,7286,7735,8134,8502,8810,9087,9314,9479,9592,9648,9650,9583,9447,9249,8995,
8664,8278,7841,7352,6808,6225,5600,4940,4249,3519,2774,1997,1208,407,-390,-1184,-1966,-2740,-3480,-4206,
-4905,-5570,-6211,-6817,-7374,-7900,-8359,-8776,-9123,-9418,-9651,-9823,-9932,-9987,-9971,-9907,-9779,-9593,-9346,-9034,
-8670,-8250,-7789,-7282,-6741,-6173,-5581,-4967,-4324,-3673,-3006,-2327,-1642,-951,-265,412,1094,1756,2410,3046,
3676,4286,4876,5450,6012,6550,7042,7526,7961,8355,8711,9008,9259,9469,9614,9704,9747,9726,9634,9488,
9275,9005,8654,8256,7793,7290,6733,6128,5494,4830,4126,3398,2644,1871,1088,282,-507,-1294,-2072,-2834,
-3561,-4275,-4953,-5612,-6232,-6814,-7354,-7856,-8293,-8687,-9020,-9290,-9499,-9642,-9728,-9758,-9721,-9627,-9475,-9267,
-9004,-8676,-8294,-7870,-7392,-6879,-6326,-5750,-5150,-4536,-3892,-3245,-2578,-1906,-1230,-548,128,801,1472,2118,
2763,3392,4007,4603,5175,5733,6267,6783,7270,7723,8135,8511,8837,9111,9337,9514,9620,9686,9687,9621,
9501,9319,9071,8763,8387,7954,7460,6922,6335,5705,5045,4355,3628,2880,2114,1335,531,-274,-1071,-1870,
-2648,-3408,-4146,-4851,-5524,-6170,-6775,-7339,-7868,-8355,-8773,-9145,-9458,-9712,-9899,-10028,-10085,-10090,-10022,-9907,
-9723,-9492,-9198,-8849,-8454,-8006,-7504,-6975,-6406,-5810,-5197,-4557,-3904,-3244,-2574,-1889,-1206,-519,164,836,
1512,2169,2816,3449,4056,4655,5233,5785,6322,6829,7310,7753,8162,8532,8849,9111,9325,9489,9582,9630,
9615,9540,9408,9209,8944,8626,8239,7800,7295,6749,6150,5517,4850,4150,3428,2688,1929,1157,373,-426,
-1219,-1995,-2765,-3504,-4225,-4903,-5552,-6174,-6750,-7284,-7788,-8240,-8637,-8981,-9264,-9491,-9646,-9739,-9768,-9741,
-9643,-9499,-9284,-9030,-8711,-8347,-7919,-7466,-6950,-6403,-5827,-5221,-4594,-3956,-3300,-2639,-1966,-1295,-612,64,
738,1408,2079,2723,3357,3978,4577,5169,5720,6261,6781,7267,7721,8156,8537,8881,9171,9408,9604,9728,
9790,9803,9747,9633,9458,9226,8933,8581,8157,7690,7155,6578,5957,5290,4597,3880,3136,2373,1601,815,
22,-773,-1573,-2358,-3131,-3877,-4591,-5278,-5921,-6533,-7101,-7625,-8110,-8546,-8921,-9252,-9523,-9729,-9869,-9949,
-9953,-9905,-9789,-9615,-9387,-9107,-8771,-8387,-7948,-7475,-6947,-6386,-5798,-5182,-4545,-3895,-3228,-2562,-1885,-1204,
-530,147,821,1492,2152,2799,3438,4059,4651,5235,5786,6307,6826,7300,7747,8161,8536,8861,9139,9359,
9525,9631,9671,9662,9586,9452,9258,8997,8686,8309,7876,7391,6851,6257,5623,4950,4247,3524,2774,2008,
1236,457,-329,-1120,-1905,-2676,-3437,-4165,-4867,-5534,-6164,-6752,-7303,-7798,-8254,-8662,-9017,-9312,-9553,-9733,
-9849,-9899,-9881,-9802,-9655,-9458,-9202,-8890,-8539,-8131,-7682,-7186,-6648,-6079,-5482,-4857,-4217,-3562,-2891,-2222,
-1544,-869,-195,475,1142,1808,2464,3103,3731,4342,4935,5504,6045,6569,7060,7519,7943,8342,8690,9005,
9254,9453,9608,9692,9707,9672,9562,9399,9177,8883,8543,8154,7690,7188,6624,6015,5358,4666,3948,3213,
2444,1674,896,106,-677,-1467,-2247,-3009,-3763,-4486,-5176,-5837,-6454,-7032,-7558,-8037,-8475,-8858,-9186,-9459,
-9682,-9841,-9930,-9949,-9907,-9806,-9638,-9412,-9131,-8796,-8423,-7987,-7517,-7011,-6455,-5869,-5260,-4627,-3973,-3305,
-2628,-1954,-1269,-591,86,758,1428,2090,2747,3380,4010,4617,5204,5765,6298,6804,7287,7730,8142,8525,
8852,9141,9373,9557,9678,9737,9734,9672,9532,9341,9088,8780,8414,7993,7515,6992,6407,5788,5118,4420,
3683,2941,2167,1395,605,-171,-967,-1745,-2509,-3266,-4005,-4716,-5392,-6038,-6636,-7200,-7707,-8165,-8569,-8932,
-9230,-9479,-9670,-9802,-9868,-9864,-9798,-9670,-9471,-9220,-8918,-8559,-8161,-7712,-7224,-6705,-6137,-5553,-4933,-4294,
-3639,-2967,-2294,-1620,-940,-271,407,1071,1729,2378,3028,3651,4271,4860,5438,5994,6517,7008,7477,7902,
8299,8651,8964,9232,9444,9595,9695,9735,9705,9616,9452,9236,8947,8616,8224,7777,7273,6729,6131,5491,
4813,4093,3346,2584,1800,1015,219,-566,-1348,-2129,-2896,-3636,-4370,-5068,-5745,-6376,-6968,-7512,-8009,-8449,
-8836,-9175,-9455,-9680,-9843,-9957,-9998,-9974,-9890,-9740,-9517,-9251,-8921,-8545,-8126,-7662,-7160,-6622,-6044,-5448,
-4817,-4169,-3502,-2830,-2147,-1469,-778,-107,567,1231,1887,2534,3176,3795,4414,5005,5572,6114,6632,7121,
7574,7988,8367,8706,8994,9242,9431,9569,9650,9660,9609,9495,9309,9069,8759,8403,7988,7522,7002,6451,
5839,5190,4500,3778,3038,2266,1490,698,-82,-862,-1637,-2404,-3154,-3873,-4588,-5266,-5912,-6529,-7093,-7612,
-8086,-8493,-8857,-9161,-9406,-9597,-9721,-9800,-9813,-9756,-9641,-9457,-9213,-8915,-8560,-8159,-7709,-7214,-6694,-6139,
-5551,-4943,-4311,-3661,-2991,-2315,-1632,-955,-267,404,1073,1734,2382,3020,3657,4264,4870,5447,6008,6544,
7050,7522,7963,8355,8722,9034,9303,9524,9690,9798,9850,9839,9766,9617,9407,9139,8798,8411,7970,7477,
6931,6352,5719,5050,4340,3599,2835,2059,1264,465,-333,-1123,-1907,-2671,-3423,-4147,-4857,-5524,-6173,-6775,
-7338,-7853,-8313,-8711,-9062,-9349,-9580,-9752,-9864,-9928,-9912,-9843,-9715,-9515,-9258,-8950,-8577,-8168,-7704,-7205,
-6670,-6107,-5510,-4894,-4258,-3608,-2944,-2259,-1575,-895,-209,460,1134,1787,2429,3069,3696,4292,4894,5466,
6015,6543,7036,7500,7925,8307,8646,8941,9188,9384,9523,9612,9646,9608,9510,9344,9112,8816,8461,8049,
7587,7074,6513,5922,5278,4612,3901,3163,2403,1620,830,36,-757,-1537,-2310,-3063,-3790,-4490,-5178,-5825,
-6442,-7017,-7553,-8042,-8471,-8840,-9160,-9413,-9611,-9747,-9823,-9845,-9802,-9694,-9533,-9306,-9025,-8684,-8288,-7853,
-7368,-6843,-6295,-5714,-5104,-4483,-3833,-3181,-2506,-1829,-1143,-466,213,882,1552,2200,2836,3470,4078,4675,
5260,5816,6355,6868,7348,7796,8212,8577,8900,9176,9399,9571,9682,9740,9748,9682,9562,9366,9108,8792,
8407,7962,7475,6929,6347,5724,5064,4376,3647,2895,2127,1332,527,-270,-1067,-1857,-2629,-3383,-4110,-4809,
-5484,-6127,-6729,-7297,-7823,-8296,-8716,-9071,-9380,-9614,-9792,-9912,-9969,-9968,-9904,-9778,-9600,-9355,-9056,-8702,
-8290,-7839,-7341,-6804,-6238,-5645,-5025,-4394,-3742,-3084,-2409,-1726,-1039,-359,330,1004,1673,2322,2958,3584,
4198,4786,5368,5915,6448,6952,7423,7861,8260,8612,8919,9166,9372,9520,9615,9651,9626,9537,9392,9176,
8897,8560,8156,7698,7192,6632,6032,5400,4728,4029,3290,2547,1775,990,194,-600,-1391,-2169,-2936,-3668,
-4380,-5060,-5712,-6321,-6908,-7445,-7944,-8383,-8776,-9106,-9379,-9587,-9733,-9809,-9840,-9805,-9708,-9552,-9341,-9072,
-8746,-8368,-7936,-7461,-6945,-6385,-5809,-5201,-4575,-3931,-3286,-2615,-1945,-1261,-582,94,774,1445,2103,2745,
3376,3994,4593,5172,5739,6276,6795,7285,7742,8164,8546,8875,9165,9392,9572,9689,9751,9759,9709,9594,
9424,9177,8877,8510,8084,7594,7065,6482,5855,5200,4510,3788,3046,2282,1505,709,-95,-895,-1690,-2468,
-3237,-3972,-4677,-5354,-5996,-6604,-7172,-7697,-8180,-8617,-8991,-9311,-9567,-9756,-9885,-9952,-9951,-9899,-9780,-9606,
-9378,-9088,-8744,-8345,-7906,-7418,-6889,-6322,-5733,-5113,-4479,-3830,-3166,-2501,-1822,-1139,-455,226,904,1573,
2235,2880,3506,4125,4718,5286,5849,6379,6882,7361,7799,8210,8576,8888,9154,9363,9517,9611,9646,9627,
9547,9408,9204,8938,8615,8225,7773,7270,6721,6111,5482,4809,4104,3380,2632,1865,1098,308,-488,-1280,
-2063,-2833,-3583,-4306,-4988,-5648,-6266,-6842,-7384,-7878,-8330,-8729,-9077,-9364,-9592,-9750,-9849,-9871,-9845,-9756,
-9601,-9388,-9130,-8806,-8441,-8021,-7553,-7045,-6495,-5914,-5309,-4680,-4032,-3376,-2711,-2036,-1357,-676,2,681,
1354,2017,2672,3311,3934,4543,5130,5693,6240,6758,7249,7710,8137,8528,8878,9172,9426,9612,9749,9823,
9830,9788,9687,9512,9286,8997,8650,8243,7770,7250,6680,6058,5406,4716,3993,3249,2491,1719,941,149,
-646,-1443,-2225,-2993,-3745,-4466,-5144,-5798,-6408,-6977,-7510,-7992,-8427,-8820,-9147,-9420,-9631,-9778,-9860,-9874,
-9829,-9719,-9554,-9328,-9052,-8715,-8341,-7906,-7435,-6924,-6364,-5776,-5173,-4537,-3886,-3224,-2561,-1887,-1217,-531,
136,815,1479,2140,2791,3420,4037,4640,5212,5768,6302,6798,7277,7715,8122,8489,8816,9091,9318,9478,
9586,9627,9606,9526,9390,9185,8932,8613,8237,7800,7309,6766,6176,5535,4862,4151,3422,2676,1906,1130,
351,-434,-1221,-2008,-2781,-3536,-4272,-4977,-5641,-6278,-6865,-7408,-7908,-8364,-8764,-9119,-9414,-9650,-9833,-9947,
-9994,-9976,-9892,-9750,-9540,-9278,-8972,-8602,-8195,-7737,-7242,-6706,-6129,-5527,-4897,-4248,-3588,-2914,-2243,-1559,
-881,-197,468,1149,1813,2473,3115,3747,4356,4959,5529,6084,6604,7099,7569,7999,8392,8752,9059,9325,
9536,9686,9778,9803,9763,9668,9509,9285,9013,8677,8280,7831,7326,6769,6165,5514,4827,4116,3364,2608,
1839,1056,272,-515,-1296,-2078,-2843,-3595,-4320,-5020,-5677,-6306,-6880,-7413,-7901,-8337,-8725,-9065,-9337,-9566,
-9726,-9822,-9856,-9823,-9721,-9567,-9344,-9070,-8742,-8364,-7945,-7481,-6975,-6436,-5859,-5253,-4628,-3979,-3318,-2649,
-1973,-1304,-622,48,710,1375,2031,2679,3317,3932,4537,5121,5677,6217,6724,7197,7641,8045,8413,8747,
9025,9264,9444,9560,9615,9616,9538,9408,9213,8958,8645,8274,7848,7371,6843,6258,5638,4966,4266,3529,
2777,2009,1221,441,-345,-1132,-1909,-2683,-3434,-4172,-4891,-5572,-6211,-6821,-7376,-7890,-8346,-8755,-9114,-9418,
-9660,-9854,-9979,-10044,-10044,-9980,-9851,-9657,-9405,-9095,-8735,-8332,-7882,-7384,-6864,-6302,-5703,-5082,-4439,-3775,
-3106,-2426,-1743,-1065,-390,291,956,1622,2274,2922,3554,4168,4770,5356,5911,6444,6950,7416,7852,8253,
8607,8932,9201,9422,9591,9694,9738,9724,9634,9490,9275,9005,8676,8286,7849,7360,6820,6231,5603,4925,
4221,3479,2718,1943,1153,368,-413,-1195,-1961,-2729,-3468,-4197,-4893,-5573,-6202,-6796,-7336,-7838,-8277,-8663,
-9003,-9289,-9509,-9684,-9787,-9831,-9819,-9732,-9586,-9381,-9108,-8787,-8413,-7991,-7529,-7026,-6494,-5925,-5328,-4702,
-4064,-3405,-2735,-2051,-1371,-693,-15,660,1319,1975,2620,3256,3875,4490,5073,5650,6193,6713,7194,7646,
8063,8432,8772,9062,9296,9491,9623,9697,9711,9661,9539,9354,9104,8800,8434,8017,7541,7018,6454,5849,
5194,4498,3774,3025,2255,1464,667,-114,-903,-1686,-2453,-3208,-3942,-4653,-5338,-5993,-6606,-7187,-7705,-8187,
-8599,-8967,-9279,-9529,-9712,-9851,-9928,-9942,-9889,-9776,-9601,-9365,-9064,-8711,-8309,-7857,-7374,-6851,-6297,-5710,
-5098,-4465,-3811,-3146,-2467,-1783,-1100,-418,257,933,1592,2242,2881,3513,4132,4727,5310,5873,6409,6921,
7393,7841,8240,8600,8922,9200,9416,9594,9709,9769,9763,9696,9555,9361,9094,8771,8385,7950,7460,6925,
6342,5724,5060,4364,3633,2877,2101,1312,514,-276,-1061,-1836,-2593,-3341,-4065,-4761,-5434,-6075,-6678,-7237,
-7746,-8204,-8609,-8953,-9246,-9474,-9641,-9759,-9808,-9802,-9734,-9605,-9413,-9156,-8842,-8478,-8063,-7604,-7104,-6570,
-6010,-5414,-4798,-4165,-3513,-2841,-2167,-1485,-806,-126,550,1223,1877,2525,3156,3781,4386,4976,5546,6103,
6624,7123,7580,8007,8391,8730,9018,9260,9454,9596,9684,9707,9668,9570,9399,9170,8872,8512,8091,7620,
7104,6536,5931,5292,4610,3893,3153,2387,1603,806,6,-791,-1583,-2361,-3115,-3856,-4562,-5248,-5906,-6523,
-7108,-7654,-8136,-8578,-8956,-9282,-9540,-9752,-9886,-9967,-9990,-9957,-9851,-9696,-9473,-9195,-8851,-8464,-8021,-7539,
-7018,-6468,-5886,-5283,-4651,-4008,-3343,-2678,-1992,-1309,-624,48,735,1397,2049,2691,3319,3936,4535,5115,
5679,6225,6739,7221,7670,8088,8457,8780,9059,9290,9460,9588,9647,9654,9602,9478,9291,9048,8734,8358,
7925,7443,6910,6332,5713,5061,4371,3658,2913,2147,1366,565,-229,-1018,-1801,-2571,-3314,-4045,-4737,-5403,
-6040,-6642,-7200,-7720,-8187,-8607,-8967,-9265,-9505,-9686,-9794,-9856,-9850,-9789,-9661,-9482,-9242,-8943,-8585,-8178,
-7724,-7224,-6688,-6124,-5524,-4912,-4277,-3630,-2964,-2295,-1610,-931,-242,433,1114,1772,2433,3073,3699,4308,
4895,5467,6026,6556,7061,7533,7971,8366,8720,9019,9274,9478,9623,9715,9744,9720,9629,9476,9261,8983,
8639,8239,7774,7259,6700,6091,5445,4772,4067,3332,2579,1803,1010,208,-596,-1389,-2174,-2938,-3685,-4399,
-5095,-5750,-6369,-6954,-7500,-8005,-8452,-8855,-9189,-9472,-9689,-9836,-9923,-9957,-9917,-9836,-9680,-9473,-9205,-8880,
-8502,-8080,-7605,-7089,-6535,-5949,-5347,-4725,-4084,-3429,-2759,-2084,-1410,-722,-43,637,1308,1965,2616,3248,
3865,4461,5042,5597,6142,6661,7151,7610,8027,8414,8747,9034,9273,9455,9578,9648,9653,9606,9493,9320,
9085,8795,8433,8019,7542,7008,6438,5815,5162,4487,3776,3036,2279,1511,723,-70,-869,-1650,-2430,-3188,
-3917,-4628,-5298,-5931,-6535,-7094,-7616,-8095,-8521,-8894,-9206,-9461,-9662,-9779,-9844,-9843,-9781,-9664,-9488,-9254,
-8967,-8627,-8230,-7791,-7300,-6771,-6205,-5615,-4997,-4365,-3712,-3053,-2380,-1703,-1023,-345,338,1016,1688,2352,
2996,3630,4240,4842,5413,5971,6507,7008,7487,7931,8338,8705,9024,9289,9511,9663,9759,9800,9775,9694,
9551,9345,9084,8759,8370,7928,7424,6866,6267,5623,4945,4241,3506,2762,1993,1217,422,-373,-1173,-1958,
-2735,-3489,-4224,-4917,-5585,-6209,-6797,-7338,-7843,-8296,-8705,-9061,-9352,-9588,-9759,-9864,-9897,-9873,-9789,-9642,
-9436,-9178,-8870,-8503,-8093,-7636,-7125,-6585,-6008,-5401,-4775,-4131,-3469,-2807,-2135,-1460,-784,-105,568,1236,
1906,2558,3197,3817,4419,5006,5569,6107,6624,7117,7578,8003,8391,8734,9036,9286,9476,9612,9683,9702,
9652,9547,9378,9148,8862,8525,8115,7657,7133,6562,5951,5294,4605,3892,3148,2395,1625,845,56,-732,
-1528,-2306,-3073,-3815,-4537,-5224,-5869,-6478,-7052,-7573,-8052,-8482,-8867,-9198,-9465,-9684,-9830,-9905,-9924,-9874,
-9764,-9593,-9364,-9086,-8757,-8378,-7943,-7471,-6953,-6403,-5812,-5202,-4570,-3919,-3255,-2591,-1914,-1239,-565,113,
783,1451,2113,2767,3399,4018,4623,5206,5761,6292,6796,7279,7729,8138,8504,8839,9114,9342,9518,9631,
9679,9668,9590,9454,9252,8996,8687,8316,7883,7399,6860,6270,5634,4957,4251,3528,2770,2005,1225,439,
-343,-1134,-1923,-2689,-3452,-4184,-4892,-5564,-6207,-6798,-7347,-7848,-8304,-8709,-9072,-9369,-9614,-9800,-9916,-9966,
-9956,-9877,-9738,-9534,-9273,-8964,-8608,-8196,-7742,-7248,-6706,-6142,-5539,-4913,-4265,-3604,-2933,-2258,-1576,-899,
-223,452,1122,1783,2442,3084,3720,4333,4926,5499,6042,6565,7059,7522,7954,8345,8701,9020,9278,9489,
9645,9731,9760,9725,9624,9469,9244,8962,8629,8241,7791,7291,6738,6134,5492,4808,4092,3355,2594,1824,
1040,257,-521,-1305,-2082,-2845,-3593,-4316,-5014,-5676,-6299,-6876,-7410,-7892,-8328,-8711,-9045,-9322,-9541,-9699,
-9797,-9828,-9794,-9697,-9532,-9315,-9036,-8703,-8330,-7906,-7443,-6934,-6388,-5813,-5210,-4580,-3936,-3272,-2597,-1922,
-1242,-568,102,776,1437,2100,2745,3375,4008,4608,5198,5762,6304,6812,7300,7742,8156,8529,8867,9151,
9390,9577,9704,9766,9772,9703,9573,9384,9133,8815,8456,8032,7556,7034,6455,5837,5169,4467,3737,2979,
2209,1427,633,-153,-939,-1719,-2488,-3241,-3984,-4700,-5383,-6035,-6648,-7213,-7730,-8190,-8605,-8969,-9270,-9520,
-9715,-9852,-9923,-9921,-9865,-9738,-9548,-9304,-8991,-8646,-8241,-7792,-7308,-6781,-6224,-5636,-5016,-4373,-3722,-3050,
-2372,-1692,-1011,-333,337,1000,1659,2313,2956,3581,4198,4792,5368,5930,6456,6950,7422,7848,8244,8599,
8913,9180,9393,9553,9661,9700,9682,9592,9438,9223,8947,8606,8224,7779,7281,6739,6154,5525,4849,4137,
3396,2635,1862,1069,279,-505,-1285,-2064,-2822,-3566,-4287,-4992,-5666,-6304,-6896,-7445,-7941,-8386,-8779,-9109,
-9395,-9620,-9786,-9896,-9948,-9923,-9850,-9699,-9493,-9225,-8901,-8529,-8107,-7642,-7148,-6611,-6045,-5453,-4831,-4191,
-3533,-2860,-2181,-1499,-817,-142,524,1192,1842,2490,3129,3747,4360,4947,5523,6067,6591,7078,7533,7954,
8332,8663,8952,9203,9392,9526,9614,9633,9586,9468,9294,9051,8746,8381,7961,7491,6972,6410,5799,5149,
4463,3742,2988,2221,1433,641,-153,-945,-1723,-2498,-3246,-3984,-4693,-5379,-6038,-6657,-7229,-7763,-8240,-8664,
-9036,-9342,-9598,-9791,-9935,-10009,-10030,-9976,-9875,-9695,-9468,-9176,-8824,-8420,-7977,-7483,-6963,-6406,-5825,-5212,
-4582,-3929,-3261,-2584,-1898,-1212,-523,153,826,1492,2140,2789,3419,4033,4635,5222,5784,6330,6830,7310,
7759,8156,8522,8840,9115,9339,9509,9627,9687,9680,9619,9480,9286,9022,8698,8313,7883,7391,6860,6282,
5660,5000,4307,3581,2834,2058,1277,479,-311,-1098,-1871,-2637,-3373,-4093,-4789,-5454,-6093,-6694,-7250,-7763,
-8221,-8622,-8969,-9259,-9490,-9655,-9766,-9821,-9811,-9740,-9613,-9418,-9168,-8856,-8485,-8073,-7616,-7113,-6581,-6016,
-5429,-4811,-4177,-3523,-2865,-2178,-1499,-814,-135,541,1209,1867,2511,3149,3773,4380,4971,5540,6089,6620,
7114,7579,8007,8389,8735,9027,9274,9468,9609,9694,9730,9690,9594,9427,9195,8905,8548,8130,7667,7145,
6582,5971,5335,4652,3937,3199,2438,1647,850,47,-749,-1544,-2324,-3081,-3814,-4528,-5215,-5869,-6494,-7079,
-7622,-8120,-8560,-8949,-9281,-9541,-9753,-9896,-9976,-10003,-9968,-9868,-9710,-9493,-9223,-8885,-8493,-8059,-7578,-7047,
-6497,-5909,-5304,-4676,-4030,-3371,-2697,-2009,-1323,-638,52,732,1406,2065,2703,3345,3964,4560,5153,5714,
6254,6781,7263,7724,8142,8517,8849,9122,9351,9528,9651,9716,9730,9674,9562,9375,9132,8824,8453,8018,
7543,7006,6434,5814,5161,4483,3767,3025,2266,1489,696,-99,-896,-1680,-2445,-3197,-3914,-4614,-5277,-5913,
-6513,-7076,-7594,-8065,-8482,-8846,-9151,-9385,-9573,-9681,-9739,-9734,-9666,-9543,-9365,-9122,-8832,-8476,-8069,-7623,
-7127,-6591,-6033,-5435,-4822,-4194,-3544,-2888,-2219,-1537,-858,-173,494,1171,1834,2483,3118,3740,4342,4934,
5504,6053,6580,7086,7553,7993,8387,8742,9044,9300,9494,9647,9732,9762,9733,9644,9499,9280,9004,8659,
8256,7792,7280,6712,6104,5459,4783,4080,3342,2580,1808,1011,214,-594,-1397,-2186,-2960,-3712,-4427,-5121,
-5781,-6408,-6999,-7545,-8048,-8504,-8907,-9253,-9539,-9756,-9919,-10010,-10040,-10013,-9925,-9775,-9569,-9307,-8992,-8618,
-8192,-7722,-7206,-6653,-6078,-5466,-4845,-4199,-3545,-2876,-2205,-1520,-842,-153,521,1195,1860,2518,3149,3771,
4369,4953,5516,6055,6578,7071,7526,7959,8343,8680,8972,9209,9393,9527,9597,9608,9564,9454,9287,9054,
8759,8411,7993,7521,6994,6422,5806,5152,4470,3764,3028,2270,1507,721,-67,-857,-1647,-2422,-3180,-3915,
-4611,-5289,-5921,-6524,-7086,-7602,-8079,-8506,-8875,-9192,-9449,-9639,-9774,-9828,-9829,-9769,-9643,-9466,-9229,-8941,
-8601,-8208,-7767,-7279,-6752,-6185,-5597,-4976,-4343,-3692,-3031,-2362,-1686,-1013,-329,344,1024,1694,2355,2999,
3630,4244,4839,5411,5965,6498,7002,7480,7923,8333,8695,9023,9292,9502,9667,9764,9807,9784,9706,9564,
9367,9102,8780,8396,7950,7457,6907,6306,5662,4981,4274,3547,2792,2014,1237,452,-340,-1143,-1940,-2714,
-3473,-4210,-4900,-5572,-6201,-6789,-7335,-7839,-8300,-8708,-9059,-9367,-9602,-9778,-9890,-9936,-9913,-9831,-9685,-9480,
-9222,-8919,-8560,-8148,-7692,-7194,-6654,-6076,-5477,-4850,-4214,-3557,-2896,-2224,-1552,-871,-201,472,1143,1801,
2461,3095,3718,4328,4905,5471,6009,6528,7016,7476,7897,8288,8632,8938,9183,9380,9520,9598,9607,9568,
9457,9297,9069,8789,8446,8046,7587,7069,6512,5898,5247,4554,3841,3105,2348,1581,811,27,-757,-1543,
-2321,-3083,-3832,-4542,-5223,-5876,-6481,-7046,-7565,-8039,-8463,-8848,-9169,-9437,-9641,-9791,-9865,-9884,-9828,-9713,
-9535,-9311,-9022,-8690,-8304,-7867,-7391,-6877,-6318,-5730,-5117,-4480,-3827,-3167,-2490,-1819,-1140,-455,214,892,
1555,2220,2875,3512,4133,4736,5324,5883,6416,6926,7409,7856,8268,8649,8980,9269,9497,9675,9794,9850,
9839,9772,9631,9449,9194,8884,8511,8091,7603,7076,6487,5860,5187,4474,3745,2992,2219,1441,657,-131,
-922,-1709,-2484,-3244,-3984,-4701,-5377,-6023,-6620,-7179,-7687,-8145,-8556,-8926,-9225,-9481,-9664,-9798,-9855,-9857,
-9787,-9659,-9461,-9214,-8908,-8557,-8156,-7710,-7224,-6701,-6138,-5541,-4925,-4282,-3631,-2960,-2293,-1614,-951,-277,
391,1056,1712,2361,3000,3627,4235,4830,5398,5947,6459,6949,7407,7838,8218,8574,8879,9144,9344,9496,
9581,9610,9571,9469,9309,9088,8805,8461,8071,7624,7116,6575,5974,5325,4639,3928,3181,2425,1650,872,
89,-695,-1475,-2249,-3013,-3757,-4478,-5178,-5839,-6464,-7039,-7575,-8058,-8485,-8866,-9200,-9470,-9683,-9843,-9947,
-9978,-9943,-9836,-9679,-9447,-9172,-8842,-8454,-8029,-7562,-7051,-6511,-5934,-5325,-4693,-4038,-3383,-2707,-2019,-1348,
-659,20,690,1358,2014,2664,3307,3931,4540,5140,5704,6247,6764,7251,7702,8123,8500,8843,9133,9379,
9568,9701,9772,9780,9718,9602,9413,9169,8859,8490,8074,7603,7084,6514,5898,5241,4542,3813,3056,2283,
1497,704,-81,-870,-1652,-2424,-3182,-3921,-4640,-5327,-5982,-6599,-7162,-7689,-8159,-8575,-8937,-9254,-9502,-9700,
-9837,-9920,-9932,-9876,-9761,-9588,-9337,-9043,-8694,-8294,-7854,-7370,-6847,-6304,-5707,-5103,-4461,-3809,-3147,-2470,
-1782,-1106,-428,246,913,1570,2222,2865,3497,4108,4705,5289,5847,6373,6869,7340,7773,8166,8517,8831,
9097,9316,9476,9576,9626,9602,9516,9371,9155,8878,8540,8147,7705,7213,6671,6092,5456,4788,4080,3332,
2578,1804,1011,226,-556,-1343,-2106,-2869,-3609,-4331,-5026,-5696,-6327,-6923,-7468,-7969,-8410,-8798,-9135,-9413,
-9628,-9786,-9897,-9941,-9924,-9839,-9693,-9478,-9206,-8886,-8507,-8080,-7615,-7109,-6571,-6005,-5396,-4779,-4133,-3473,
-2799,-2116,-1422,-744,-55,622,1288,1948,2591,3232,3864,4472,5069,5650,6201,6729,7218,7677,8103,8483,
8823,9120,9367,9564,9706,9789,9815,9773,9670,9493,9253,8961,8590,8181,7710,7197,6631,6036,5383,4700,
3980,3232,2461,1672,876,85,-716,-1493,-2268,-3024,-3764,-4471,-5158,-5816,-6440,-7021,-7556,-8047,-8474,-8846,
-9168,-9423,-9620,-9766,-9843,-9865,-9830,-9730,-9567,-9340,-9048,-8704,-8314,-7870,-7398,-6870,-6322,-5736,-5128,-4505,
-3851,-3194,-2520,-1839,-1150,-471,206,878,1542,2196,2834,3461,4075,4669,5258,5818,6355,6864,7341,7782,
8187,8551,8865,9135,9359,9523,9633,9690,9682,9610,9481,9281,9020,8695,8305,7860,7371,6826,6242,5630,
4965,4274,3545,2787,2012,1230,428,-364,-1160,-1935,-2702,-3448,-4166,-4861,-5537,-6165,-6769,-7330,-7844,-8309,
-8718,-9066,-9358,-9589,-9755,-9868,-9919,-9916,-9849,-9716,-9529,-9280,-8968,-8604,-8188,-7729,-7227,-6687,-6123,-5535,
-4917,-4287,-3633,-2969,-2293,-1607,-921,-240,442,1107,1777,2419,3052,3675,4286,4876,5447,6006,6537,7034,
7500,7930,8326,8671,8971,9221,9423,9572,9658,9688,9657,9566,9411,9189,8905,8555,8144,7672,7163,6600,
5998,5362,4690,3983,3241,2478,1708,913,110,-680,-1478,-2249,-3014,-3750,-4464,-5146,-5802,-6425,-7009,-7547,
-8050,-8495,-8884,-9205,-9479,-9689,-9833,-9915,-9935,-9913,-9814,-9657,-9444,-9170,-8844,-8453,-8017,-7543,-7023,-6466,
-5892,-5278,-4653,-4013,-3355,-2682,-2006,-1311,-629,51,739,1406,2070,2714,3339,3951,4557,5135,5706,6247,
6760,7251,7703,8122,8499,8821,9103,9331,9507,9622,9679,9685,9635,9516,9333,9090,8780,8416,7985,7494,
6962,6380,5756,5108,4418,3705,2962,2201,1417,624,-171,-968,-1758,-2531,-3281,-4015,-4710,-5376,-6014,-6611,
-7179,-7694,-8174,-8598,-8963,-9272,-9517,-9698,-9817,-9867,-9871,-9805,-9683,-9503,-9272,-8978,-8629,-8218,-7777,-7283,
-6754,-6184,-5600,-4986,-4348,-3701,-3051,-2378,-1706,-1022,-346,330,1016,1675,2327,2965,3590,4193,4786,5363,
5917,6445,6950,7420,7861,8261,8621,8929,9193,9402,9560,9645,9686,9667,9584,9440,9237,8967,8639,8244,
7787,7287,6731,6121,5486,4820,4113,3389,2633,1873,1085,295,-513,-1295,-2090,-2859,-3611,-4330,-5013,-5664,
-6294,-6870,-7416,-7915,-8374,-8781,-9117,-9405,-9630,-9781,-9880,-9908,-9879,-9790,-9646,-9428,-9171,-8847,-8487,-8070,
-7596,-7089,-6535,-5948,-5344,-4722,-4065,-3416,-2744,-2073,-1389,-704,-24,649,1329,1990,2650,3280,3902,4512,
5089,5647,6198,6714,7211,7662,8088,8474,8823,9110,9353,9533,9665,9725,9736,9689,9578,9402,9179,8883,
8532,8117,7643,7110,6541,5915,5261,4576,3859,3123,2359,1591,812,19,-780,-1566,-2345,-3110,-3851,-4556,
-5237,-5882,-6485,-7041,-7563,-8043,-8480,-8855,-9176,-9442,-9641,-9775,-9849,-9848,-9795,-9682,-9503,-9269,-8991,-8647,
-8258,-7823,-7345,-6820,-6264,-5672,-5059,-4426,-3782,-3118,-2453,-1785,-1109,-431,239,908,1577,2233,2883,3517,
4123,4713,5290,5838,6373,6877,7350,7792,8199,8572,8892,9165,9393,9555,9663,9699,9682,9608,9465,9262,
9010,8697,8318,7876,7380,6840,6238,5597,4922,4220,3488,2744,1974,1198,415,-376,-1174,-1955,-2734,-3491,
-4225,-4928,-5598,-6229,-6815,-7359,-7864,-8319,-8729,-9084,-9382,-9622,-9797,-9911,-9958,-9934,-9857,-9710,-9508,-9249,
-8947,-8581,-8174,-7720,-7222,-6685,-6113,-5508,-4879,-4232,-3569,-2904,-2232,-1558,-881,-198,476,1148,1814,2474,
3108,3736,4346,4933,5503,6039,6561,7050,7517,7936,8329,8685,8989,9232,9434,9578,9658,9668,9622,9515,
9351,9116,8843,8500,8101,7637,7128,6567,5957,5295,4614,3898,3153,2398,1619,842,56,-729,-1508,-2290,
-3049,-3794,-4520,-5209,-5857,-6473,-7045,-7563,-8040,-8470,-8849,-9180,-9449,-9664,-9812,-9892,-9917,-9866,-9761,-9594,
-9359,-9072,-8739,-8353,-7927,-7455,-6941,-6398,-5812,-5192,-4562,-3905,-3247,-2571,-1899,-1222,-544,128,801,1463,
2123,2772,3417,4029,4634,5222,5781,6314,6827,7304,7754,8165,8542,8868,9163,9395,9586,9697,9765,9754,
9690,9559,9365,9111,8806,8444,8021,7540,7007,6426,5803,5132,4429,3696,2942,2180,1393,616,-166,-957,
-1736,-2509,-3266,-4009,-4730,-5405,-6045,-6651,-7209,-7709,-8176,-8583,-8949,-9250,-9491,-9691,-9831,-9879,-9877,-9810,
-9686,-9491,-9239,-8941,-8589,-8187,-7740,-7254,-6724,-6169,-5573,-4950,-4315,-3652,-2984,-2304,-1634,-950,-278,399,
1056,1715,2376,3019,3650,4261,4852,5436,5988,6503,7008,7465,7886,8279,8629,8944,9197,9407,9567,9658,
9696,9653,9550,9392,9168,8880,8554,8156,7714,7206,6654,6063,5419,4730,4027,3284,2517,1740,955,4,
-142,-758,-1465,-1999,-2069,-1788,-1203,-271,896,1997,2828,3423,3967,4449,5001,5727,6708,7841,8969,9959,
10716,11153,11282,11162,10923,10644,10360,10014,9556,8920,8058,6961,5683,4287,2855,1456,156,-993,-1996,-2889,
-3714,-4543,-5398,-6320,-7297,-8278,-9207,-10038,-10752,-11321,-11729,-12021,-12257,-12503,-12748,-12976,-13183,-13353,-13438,-13354,
-13079,-12647,-12102,-11454,-10716,-9951,-9206,-8462,-7653,-6748,-5780,-4751,-3650,-2509,-1376,-319,632,1472,2213,2872,
3457,4008,4577,5218,5922,6669,7459,8278,9065,9745,10285,10715,11044,11274,11426,11548,11684,11806,11872,11834,
11679,11364,10877,10224,9466,8663,7852,7033,6220,5423,4622,3750,2759,1677,526,-664,-1864,-3014,-4041,-4918,
-5662,-6314,-6900,-7451,-8010,-8612,-9244,-9861,-10404,-10864,-11218,-11435,-11479,-11386,-11217,-11010,-10746,-10420,-10031,-9575,
-8993,-8259,-7404,-6484,-5551,-4621,-3722,-2899,-2173,-1528,-960,-451,-11,368,686,947,1139,1284,1387,1472,
1555,1638,1738,1877,2077,2351,2711,3182,3774,4466,5230,6023,6822,7610,8361,9060,9720,10351,10960,11504,
11939,12246,12395,12372,12139,11707,11158,10556,9909,9238,8570,7902,7197,6407,5520,4529,3463,2346,1202,86,
-945,-1862,-2680,-3418,-4111,-4795,-5497,-6248,-7057,-7879,-8669,-9406,-10058,-10595,-11004,-11326,-11599,-11811,-11974,-12092,
-12182,-12221,-12144,-11906,-11515,-10984,-10341,-9592,-8765,-7929,-7098,-6270,-5443,-4613,-3787,-2947,-2081,-1198,-337,480,
1255,2006,2716,3381,4002,4636,5313,6021,6753,7528,8327,9130,9881,10541,11086,11534,11868,12091,12235,12317,
12335,12260,12082,11797,11392,10835,10132,9310,8418,7489,6552,5627,4741,3909,3096,2261,1389,474,-484,-1491,
-2504,-3497,-4435,-5305,-6106,-6833,-7505,-8153,-8808,-9489,-10164,-10804,-11386,-11874,-12242,-12451,-12514,-12457,-12307,-12088,
-11791,-11428,-10999,-10483,-9833,-9050,-8148,-7159,-6112,-5059,-4037,-3103,-2258,-1513,-851,-289,179,570,899,1171,
1381,1545,1675,1784,1886,2001,2145,2330,2570,2876,3266,3751,4345,5003,5717,6465,7216,7960,8662,9320,
9939,10518,11036,11465,11776,11959,11973,11799,11448,10949,10353,9682,8958,8217,7473,6718,5933,5088,4176,3203,
2176,1113,57,-964,-1914,-2789,-3580,-4305,-4990,-5661,-6345,-7050,-7764,-8478,-9165,-9791,-10319,-10725,-11016,-11210,
-11310,-11344,-11334,-11282,-11180,-11011,-10750,-10377,-9896,-9292,-8573,-7768,-6923,-6077,-5246,-4441,-3672,-2948,-2247,-1552,
-865,-177,510,1188,1863,2526,3164,3783,4410,5057,5737,6469,7242,8064,8912,9749,10542,11257,11859,12343,
12689,12913,13019,13028,12947,12773,12502,12131,11644,11041,10319,9494,8586,7608,6588,5562,4546,3535,2529,1528,
525,-483,-1519,-2553,-3569,-4552,-5484,-6358,-7159,-7902,-8601,-9265,-9906,-10520,-11096,-11635,-12117,-12513,-12793,-12958,
-13007,-12949,-12788,-12538,-12199,-11779,-11268,-10653,-9920,-9090,-8170,-7185,-6158,-5130,-4138,-3209,-2360,-1606,-958,-412,
48,425,731,971,1164,1321,1469,1607,1749,1906,2104,2352,2665,3049,3524,4083,4717,5414,6153,6912,
7657,8360,9010,9607,10144,10601,10966,11231,11384,11412,11296,11037,10637,10125,9514,8831,8095,7332,6538,5718,
4864,3978,3055,2096,1101,99,-898,-1870,-2813,-3717,-4566,-5366,-6130,-6858,-7553,-8215,-8838,-9423,-9949,-10401,
-10776,-11068,-11281,-11407,-11442,-11410,-11297,-11100,-10815,-10429,-9938,-9359,-8691,-7938,-7137,-6314,-5490,-4686,-3911,-3173,
-2474,-1803,-1155,-533,68,658,1246,1845,2442,3025,3615,4233,4874,5550,6265,7026,7835,8678,9530,10370,
11163,11872,12472,12956,13321,13579,13720,13753,13685,13518,13230,12821,12296,11663,10937,10127,9250,8347,7428,6502,
5559,4598,3611,2595,1544,474,-611,-1677,-2720,-3719,-4674,-5574,-6418,-7221,-7999,-8744,-9448,-10107,-10730,-11297,
-11791,-12194,-12495,-12691,-12783,-12770,-12646,-12417,-12083,-11645,-11099,-10451,-9708,-8868,-7947,-6972,-5968,-4957,-3969,-3033,
-2164,-1386,-707,-123,366,773,1112,1396,1650,1880,2100,2319,2540,2781,3038,3332,3683,4100,4586,5132,
5739,6395,7070,7742,8375,8966,9502,9969,10358,10664,10874,10972,10946,10786,10490,10066,9529,8890,8188,7434,
6645,5825,4970,4098,3190,2252,1281,288,-716,-1703,-2673,-3610,-4514,-5369,-6186,-6967,-7730,-8462,-9154,-9809,
-10410,-10944,-11389,-11741,-12006,-12183,-12269,-12269,-12196,-12051,-11831,-11517,-11110,-10609,-10009,-9326,-8564,-7755,-6930,-6100,
-5283,-4502,-3767,-3081,-2447,-1851,-1290,-746,-214,315,849,1384,1929,2485,3063,3669,4302,4974,5708,6500,
7336,8209,9088,9953,10768,11492,12109,12609,12990,13245,13373,13392,13305,13103,12770,12327,11776,11122,10371,9545,
8675,7776,6855,5920,4964,4002,3025,2027,1007,-21,-1055,-2064,-3053,-4002,-4900,-5744,-6550,-7316,-8056,-8758,
-9429,-10063,-10648,-11165,-11599,-11938,-12182,-12323,-12354,-12284,-12111,-11844,-11470,-10981,-10385,-9683,-8877,-7986,-7030,-6039,
-5035,-4041,-3078,-2162,-1317,-551,136,732,1245,1680,2052,2373,2667,2940,3209,3488,3786,4105,4454,4834,
5265,5744,6278,6855,7469,8105,8733,9329,9875,10363,10773,11105,11348,11502,11563,11509,11332,11033,10610,10076,
9439,8723,7953,7147,6312,5452,4566,3661,2720,1744,742,-272,-1286,-2276,-3240,-4159,-5029,-5853,-6644,-7405,
-8139,-8833,-9496,-10118,-10676,-11156,-11549,-11848,-12053,-12162,-12184,-12126,-11994,-11788,-11493,-11105,-10634,-10070,-9421,-8703,
-7937,-7154,-6364,-5589,-4845,-4142,-3484,-2869,-2296,-1766,-1268,-789,-318,140,611,1094,1604,2146,2714,3322,
3975,4670,5423,6220,7050,7900,8738,9546,10278,10917,11445,11856,12148,12316,12378,12342,12192,11927,11538,11038,
10423,9702,8900,8041,7153,6244,5320,4396,3464,2522,1553,562,-453,-1471,-2488,-3479,-4432,-5332,-6178,-6978,
-7738,-8463,-9159,-9822,-10462,-11053,-11583,-12037,-12411,-12689,-12869,-12941,-12909,-12786,-12567,-12248,-11819,-11281,-10637,-9889,
-9036,-8105,-7119,-6101,-5080,-4072,-3105,-2191,-1339,-557,150,778,1331,1834,2278,2685,3069,3439,3822,4210,
4614,5040,5498,5987,6518,7085,7688,8320,8967,9606,10209,10753,11235,11631,11937,12150,12272,12307,12240,12062,
11774,11364,10845,10224,9507,8733,7918,7075,6213,5344,4461,3562,2636,1681,711,-266,-1243,-2195,-3113,-3978,
-4796,-5560,-6282,-6968,-7618,-8238,-8826,-9366,-9850,-10256,-10573,-10796,-10918,-10936,-10864,-10709,-10470,-10152,-9746,-9266,
-8715,-8079,-7381,-6639,-5872,-5098,-4340,-3608,-2921,-2288,-1701,-1163,-674,-223,188,583,964,1336,1725,2138,
2585,3069,3597,4176,4802,5478,6203,6965,7755,8556,9337,10072,10732,11292,11744,12069,12270,12356,12330,12199,
11954,11600,11140,10567,9893,9131,8286,7399,6476,5533,4585,3640,2686,1723,736,-267,-1286,-2306,-3325,-4314,
-5272,-6165,-7014,-7815,-8567,-9278,-9958,-10608,-11227,-11797,-12307,-12748,-13097,-13344,-13487,-13520,-13450,-13284,-13016,-12650,
-12180,-11612,-10936,-10163,-9298,-8367,-7394,-6408,-5421,-4466,-3561,-2716,-1933,-1220,-579,-5,517,987,1421,1817,
2211,2593,2991,3404,3845,4318,4817,5361,5936,6545,7183,7834,8482,9102,9672,10169,10587,10906,11121,11237,
11265,11191,11018,10749,10374,9897,9318,8646,7897,7096,6257,5392,4518,3647,2766,1871,966,45,-884,-1823,
-2752,-3652,-4515,-5329,-6094,-6800,-7461,-8076,-8659,-9205,-9716,-10173,-10573,-10893,-11124,-11253,-11280,-11195,-11016,-10738,
-10374,-9930,-9408,-8812,-8148,-7421,-6656,-5859,-5057,-4266,-3505,-2788,-2126,-1513,-954,-448,11,434,824,1199,
1568,1939,2331,2751,3213,3716,4271,4880,5533,6231,6971,7740,8530,9316,10071,10774,11400,11916,12314,12586,
12730,12749,12659,12461,12158,11751,11246,10640,9934,9147,8288,7373,6428,5462,4494,3523,2557,1585,605,-385,
-1381,-2385,-3377,-4347,-5286,-6173,-7009,-7793,-8524,-9206,-9852,-10459,-11031,-11551,-12019,-12414,-12720,-12922,-13021,-13006,
-12884,-12653,-12326,-11894,-11369,-10747,-10037,-9234,-8363,-7442,-6483,-5522,-4580,-3666,-2816,-2009,-1279,-606,8,568,
1086,1562,2009,2441,2868,3296,3736,4194,4685,5204,5754,6335,6948,7578,8220,8856,9472,10040,10541,10960,
11273,11482,11585,11579,11470,11272,10986,10605,10140,9579,8932,8211,7421,6581,5701,4798,3890,2984,2073,1165,
256,-652,-1564,-2477,-3374,-4253,-5096,-5897,-6644,-7334,-7971,-8557,-9099,-9594,-10047,-10442,-10782,-11039,-11205,-11271,
-11228,-11072,-10811,-10446,-9997,-9466,-8865,-8196,-7474,-6706,-5911,-5098,-4292,-3512,-2764,-2071,-1435,-861,-340,128,
551,941,1316,1680,2042,2420,2821,3256,3731,4254,4832,5458,6136,6851,7604,8376,9153,9910,10630,11290,
11858,12317,12650,12850,12919,12859,12677,12392,12008,11527,10957,10300,9561,8745,7866,6931,5961,4968,3970,2971,
1977,992,6,-979,-1958,-2936,-3904,-4844,-5761,-6633,-7460,-8227,-8939,-9601,-10215,-10775,-11290,-11755,-12163,-12498,
-12745,-12897,-12941,-12872,-12685,-12392,-11992,-11497,-10909,-10236,-9490,-8671,-7801,-6890,-5960,-5041,-4142,-3285,-2487,-1744,
-1064,-447,120,641,1124,1589,2029,2468,2910,3362,3838,4336,4867,5431,6021,6636,7273,7917,8556,9171,
9753,10274,10716,11054,11291,11410,11413,11306,11091,10785,10392,9912,9357,8722,8021,7246,6418,5542,4629,3695,
2751,1810,874,-55,-969,-1877,-2775,-3663,-4535,-5388,-6208,-6992,-7723,-8399,-9014,-9576,-10077,-10514,-10900,-11222,
-11474,-11646,-11724,-11701,-11569,-11321,-10961,-10503,-9957,-9330,-8636,-7887,-7103,-6285,-5459,-4629,-3825,-3053,-2324,-1655,
-1055,-514,-37,392,782,1144,1498,1844,2203,2588,3000,3451,3949,4497,5098,5749,6444,7174,7933,8700,
9460,10186,10870,11480,11995,12394,12670,12811,12817,12690,12445,12092,11642,11099,10481,9787,9025,8198,7314,6389,
5424,4435,3430,2427,1428,442,-535,-1499,-2447,-3383,-4299,-5195,-6065,-6898,-7689,-8424,-9105,-9728,-10290,-10796,
-11246,-11640,-11966,-12221,-12393,-12474,-12448,-12303,-12055,-11688,-11219,-10653,-9997,-9272,-8488,-7649,-6785,-5897,-5007,-4131,
-3282,-2474,-1732,-1038,-404,175,706,1206,1679,2138,2590,3049,3524,4012,4527,5068,5646,6246,6865,7503,
8141,8773,9380,9946,10460,10899,11247,11494,11630,11647,11550,11334,11017,10609,10108,9532,8898,8197,7440,6627,
5768,4872,3937,2981,2012,1044,79,-873,-1804,-2720,-3608,-4482,-5327,-6150,-6943,-7703,-8418,-9077,-9676,-10217,
-10685,-11086,-11420,-11681,-11866,-11967,-11976,-11887,-11687,-11380,-10959,-10437,-9820,-9123,-8369,-7567,-6743,-5899,-5061,-4239,
-3447,-2696,-1997,-1356,-782,-270,183,591,958,1310,1650,2003,2366,2768,3201,3676,4199,4772,5397,6064,
6763,7492,8233,8966,9677,10342,10946,11471,11888,12200,12388,12441,12365,12164,11845,11418,10892,10291,9617,8881,
8091,7254,6372,5455,4498,3519,2528,1530,537,-445,-1406,-2344,-3259,-4148,-5013,-5851,-6658,-7438,-8175,-8867,
-9503,-10080,-10593,-11043,-11424,-11736,-11976,-12143,-12222,-12215,-12101,-11886,-11564,-11128,-10595,-9966,-9259,-8496,-7681,-6829,
-5964,-5089,-4233,-3396,-2591,-1832,-1127,-469,130,683,1195,1679,2148,2616,3081,3566,4071,4605,5169,5759,
6379,7022,7674,8333,8979,9597,10169,10687,11134,11500,11762,11921,11972,11904,11725,11429,11040,10554,9978,9336,
8629,7874,7069,6227,5353,4444,3512,2558,1589,616,-351,-1311,-2249,-3156,-4040,-4893,-5714,-6510,-7272,-8001,
-8687,-9329,-9908,-10422,-10867,-11235,-11522,-11730,-11851,-11883,-11820,-11662,-11395,-11019,-10542,-9965,-9298,-8556,-7760,-6929,
-6080,-5228,-4396,-3590,-2827,-2109,-1445,-844,-298,181,615,1003,1360,1701,2037,2387,2761,3171,3618,4117,
4658,5254,5898,6571,7278,8001,8721,9426,10089,10692,11224,11663,11998,12220,12320,12302,12153,11887,11505,11016,
10434,9775,9048,8265,7432,6565,5665,4737,3786,2815,1828,836,-153,-1137,-2099,-3031,-3932,-4798,-5633,-6433,
-7202,-7936,-8635,-9286,-9886,-10430,-10903,-11303,-11625,-11869,-12033,-12108,-12096,-11987,-11789,-11485,-11077,-10570,-9966,-9278,
-8519,-7710,-6868,-6007,-5151,-4310,-3493,-2713,-1971,-1281,-642,-45,499,1013,1485,1945,2394,2853,3319,3812,
4334,4891,5476,6093,6737,7396,8065,8722,9361,9953,10490,10953,11329,11615,11787,11863,11823,11671,11416,11052,
10588,10028,9387,8674,7903,7087,6231,5342,4435,3509,2559,1599,632,-345,-1321,-2287,-3229,-4140,-5020,-5863,
-6668,-7435,-8164,-8860,-9507,-10112,-10660,-11149,-11561,-11896,-12141,-12301,-12359,-12325,-12193,-11960,-11626,-11189,-10650,-10028,
-9317,-8541,-7717,-6868,-6011,-5165,-4350,-3570,-2845,-2165,-1547,-986,-478,-18,396,770,1124,1462,1814,2179,
2573,3008,3493,4027,4604,5233,5903,6598,7318,8038,8743,9414,10027,10569,11026,11376,11617,11746,11756,11656,
11434,11103,10667,10136,9510,8808,8040,7217,6358,5466,4552,3623,2676,1720,756,-213,-1183,-2145,-3085,-3996,
-4872,-5713,-6508,-7265,-7979,-8658,-9294,-9884,-10425,-10908,-11319,-11658,-11908,-12076,-12150,-12128,-12011,-11804,-11493,-11091,
-10590,-10001,-9325,-8576,-7765,-6916,-6046,-5172,-4313,-3486,-2693,-1948,-1244,-595,14,579,1103,1595,2067,2529,
2990,3458,3953,4473,5024,5613,6230,6875,7541,8219,8889,9545,10162,10728,11218,11621,11928,12125,12210,12188,
12054,11821,11486,11050,10529,9926,9234,8478,7663,6803,5909,4989,4053,3109,2155,1198,235,-734,-1695,-2650,
-3583,-4487,-5359,-6188,-6976,-7720,-8418,-9071,-9678,-10234,-10738,-11180,-11547,-11838,-12036,-12136,-12133,-12024,-11810,-11494,
-11074,-10567,-9969,-9289,-8543,-7738,-6902,-6049,-5195,-4366,-3573,-2831,-2147,-1521,-953,-443,21,440,820,1176,
1514,1853,2201,2575,2980,3432,3933,4486,5083,5724,6403,7100,7806,8506,9183,9810,10367,10838,11213,11473,
11618,11648,11560,11363,11059,10655,10157,9567,8890,8144,7335,6477,5574,4654,3713,2768,1818,867,-87,-1038,
-1983,-2922,-3841,-4734,-5595,-6410,-7184,-7911,-8581,-9217,-9792,-10319,-10795,-11212,-11555,-11835,-12018,-12113,-12105,-11998,
-11787,-11481,-11072,-10574,-9992,-9331,-8594,-7799,-6961,-6099,-5224,-4361,-3518,-2716,-1960,-1253,-588,24,600,1140,
1652,2144,2625,3104,3592,4098,4625,5189,5784,6409,7064,7738,8430,9119,9791,10433,11032,11560,12000,12343,
12577,12696,12691,12577,12356,12033,11617,11115,10538,9879,9153,8362,7513,6621,5697,4752,3792,2831,1870,917,
-33,-974,-1910,-2836,-3741,-4623,-5476,-6283,-7047,-7759,-8419,-9029,-9585,-10086,-10531,-10912,-11224,-11458,-11595,-11637,
-11571,-11394,-11110,-10721,-10233,-9657,-9006,-8288,-7516,-6698,-5864,-5021,-4188,-3388,-2627,-1925,-1287,-707,-184,280,
706,1090,1447,1793,2126,2471,2833,3219,3643,4115,4630,5192,5791,6429,7093,7762,8428,9074,9676,10217,
10682,11058,11321,11466,11491,11394,11188,10874,10460,9962,9382,8725,7993,7197,6344,5444,4505,3545,2571,1596,
620,-341,-1295,-2240,-3177,-4100,-4999,-5877,-6723,-7532,-8295,-9004,-9656,-10256,-10792,-11273,-11699,-12057,-12348,-12566,
-12698,-12735,-12668,-12494,-12216,-11830,-11349,-10782,-10134,-9424,-8653,-7842,-6997,-6143,-5283,-4447,-3636,-2873,-2158,-1489,
-867,-292,252,770,1267,1759,2246,2747,3267,3806,4380,4987,5627,6294,6987,7689,8395,9086,9752,10377,
10935,11423,11811,12097,12265,12316,12241,12053,11757,11372,10893,10339,9721,9035,8291,7494,6644,5750,4828,3879,
2922,1963,1010,72,-852,-1761,-2655,-3530,-4383,-5217,-6021,-6783,-7507,-8172,-8783,-9334,-9824,-10250,-10612,-10912,
-11136,-11282,-11344,-11306,-11162,-10908,-10546,-10075,-9511,-8865,-8141,-7369,-6553,-5712,-4859,-4009,-3178,-2383,-1635,-946,
-317,257,767,1224,1648,2036,2412,2776,3142,3526,3931,4365,4841,5358,5916,6510,7136,7784,8444,9092,
9723,10318,10859,11328,11704,11985,12151,12191,12114,11915,11604,11195,10692,10111,9458,8740,7967,7138,6257,5336,
4376,3391,2396,1397,404,-572,-1534,-2476,-3400,-4305,-5187,-6042,-6876,-7668,-8416,-9121,-9758,-10337,-10850,-11295,
-11674,-11986,-12224,-12391,-12468,-12451,-12335,-12112,-11777,-11345,-10809,-10193,-9510,-8770,-7989,-7178,-6358,-5535,-4724,-3937,
-3182,-2480,-1822,-1211,-646,-122,373,848,1312,1775,2250,2743,3262,3807,4393,5006,5655,6333,7020,7712,
8398,9058,9675,10243,10738,11145,11456,11661,11745,11714,11561,11289,10919,10451,9899,9281,8602,7868,7084,6262,
5395,4495,3557,2603,1637,668,-293,-1233,-2154,-3053,-3920,-4765,-5584,-6380,-7147,-7878,-8568,-9204,-9780,-10290,
-10732,-11100,-11398,-11623,-11767,-11833,-11803,-11685,-11459,-11120,-10678,-10129,-9487,-8766,-7984,-7156,-6303,-5434,-4575,-3725,
-2912,-2134,-1404,-733,-122,432,931,1384,1809,2207,2594,2983,3384,3811,4266,4754,5286,5853,6460,7095,
7751,8421,9084,9726,10335,10890,11379,11788,12098,12308,12403,12373,12223,11958,11583,11106,10543,9904,9206,8450,
7649,6804,5919,5000,4045,3070,2086,1092,104,-865,-1818,-2739,-3634,-4503,-5342,-6154,-6941,-7690,-8399,-9060,
-9664,-10202,-10667,-11059,-11381,-11624,-11790,-11874,-11872,-11782,-11584,-11287,-10891,-10388,-9797,-9128,-8401,-7632,-6829,-6017,
-5211,-4416,-3643,-2902,-2201,-1548,-939,-376,145,628,1093,1539,1982,2433,2902,3397,3920,4476,5076,5702,
6358,7034,7716,8392,9047,9657,10218,10708,11116,11433,11642,11748,11738,11609,11370,11017,10562,10015,9384,8692,
7939,7141,6308,5441,4538,3612,2658,1688,709,-277,-1253,-2208,-3141,-4042,-4909,-5746,-6546,-7316,-8057,-8762,
-9425,-10034,-10587,-11070,-11477,-11805,-12054,-12214,-12294,-12282,-12182,-11983,-11680,-11272,-10766,-10155,-9459,-8691,-7867,-7012,
-6141,-5271,-4421,-3599,-2818,-2082,-1396,-771,-198,321,792,1229,1636,2025,2415,2808,3226,3676,4155,4676,
5237,5837,6469,7126,7792,8464,9112,9731,10299,10800,11221,11550,11777,11900,11908,11803,11581,11249,10808,10272,
9654,8964,8213,7416,6584,5719,4822,3902,2956,1996,1023,41,-927,-1884,-2819,-3719,-4590,-5420,-6216,-6978,
-7711,-8401,-9053,-9657,-10212,-10695,-11107,-11437,-11693,-11855,-11935,-11931,-11832,-11645,-11355,-10972,-10497,-9924,-9274,-8553,
-7780,-6979,-6157,-5338,-4538,-3760,-3017,-2311,-1652,-1038,-466,69,568,1034,1487,1928,2377,2836,3320,3837,
4387,4970,5595,6249,6926,7612,8300,8969,9600,10180,10694,11119,11452,11684,11806,11822,11727,11521,11211,10792,
10282,9676,8992,8249,7451,6607,5733,4838,3917,2982,2032,1071,101,-874,-1836,-2787,-3711,-4602,-5455,-6272,
-7041,-7779,-8481,-9135,-9753,-10316,-10825,-11266,-11628,-11910,-12099,-12198,-12205,-12113,-11930,-11642,-11258,-10774,-10199,-9529,
-8783,-7974,-7122,-6246,-5366,-4498,-3663,-2862,-2115,-1417,-773,-183,357,855,1302,1729,2131,2525,2922,3331,
3770,4243,4752,5302,5893,6516,7167,7832,8501,9165,9791,10372,10895,11330,11681,11926,12066,12098,12018,11834,
11540,11140,10646,10060,9394,8657,7869,7028,6162,5267,4355,3423,2483,1533,574,-385,-1341,-2278,-3197,-4081,
-4931,-5740,-6506,-7231,-7917,-8556,-9155,-9706,-10205,-10634,-10991,-11269,-11462,-11554,-11558,-11464,-11280,-11001,-10628,-10170,
-9624,-8999,-8308,-7556,-6772,-5963,-5154,-4353,-3587,-2851,-2159,-1511,-910,-351,167,655,1117,1556,1992,2421,
2867,3333,3824,4356,4922,5529,6165,6829,7507,8187,8858,9501,10095,10618,11068,11419,11664,11799,11819,11736,
11543,11246,10847,10357,9780,9115,8381,7585,6738,5845,4932,3997,3046,2088,1128,159,-805,-1771,-2727,-3671,
-4589,-5474,-6326,-7132,-7891,-8607,-9275,-9896,-10471,-10993,-11459,-11860,-12185,-12429,-12581,-12637,-12593,-12445,-12197,-11852,
-11406,-10873,-10255,-9553,-8789,-7967,-7115,-6251,-5379,-4535,-3729,-2960,-2244,-1578,-967,-405,114,598,1053,1485,
1907,2326,2755,3203,3683,4196,4743,5328,5951,6594,7259,7925,8586,9218,9807,10335,10790,11147,11404,11551,
11588,11519,11343,11066,10698,10235,9689,9058,8355,7590,6775,5909,5024,4109,3183,2255,1319,393,-540,-1463,
-2380,-3280,-4166,-5017,-5832,-6608,-7331,-8012,-8639,-9217,-9751,-10225,-10646,-11001,-11285,-11484,-11597,-11609,-11525,-11341,
-11060,-10681,-10215,-9664,-9043,-8351,-7606,-6816,-6005,-5181,-4362,-3566,-2807,-2083,-1414,-790,-212,329,831,1309,
1765,2215,2668,3123,3597,4098,4626,5197,5796,6434,7097,7777,8459,9135,9793,10409,10967,11446,11837,12122,
12295,12347,12285,12116,11837,11463,11000,10453,9830,9132,8370,7550,6675,5763,4828,3870,2906,1936,970,11,
-939,-1882,-2814,-3732,-4625,-5492,-6327,-7115,-7852,-8543,-9184,-9763,-10295,-10767,-11183,-11529,-11806,-12000,-12103,-12104,
-12005,-11800,-11490,-11077,-10572,-9988,-9322,-8592,-7809,-6988,-6144,-5296,-4454,-3637,-2862,-2129,-1455,-831,-259,266,
756,1221,1660,2091,2517,2953,3400,3872,4376,4914,5489,6091,6720,7366,8014,8658,9276,9858,10380,10833,
11197,11464,11620,11657,11585,11403,11115,10735,10272,9726,9109,8416,7665,6858,6003,5105,4180,3236,2284,1327,
377,-562,-1487,-2403,-3301,-4182,-5045,-5879,-6678,-7437,-8144,-8805,-9405,-9948,-10429,-10852,-11215,-11511,-11725,-11868,
-11914,-11863,-11712,-11457,-11100,-10649,-10106,-9486,-8803,-8065,-7289,-6483,-5668,-4847,-4047,-3273,-2542,-1851,-1214,-625,
-82,425,905,1362,1810,2260,2713,3189,3680,4203,4763,5354,5977,6633,7306,7989,8665,9323,9946,10522,
11023,11450,11778,11999,12098,12075,11939,11692,11340,10897,10372,9769,9104,8375,7589,6757,5878,4960,4016,3051,
2083,1111,149,-799,-1727,-2643,-3537,-4414,-5264,-6089,-6882,-7637,-8344,-8995,-9591,-10123,-10595,-11000,-11343,-11613,
-11810,-11929,-11952,-11880,-11699,-11416,-11028,-10541,-9961,-9302,-8577,-7801,-6987,-6152,-5308,-4469,-3645,-2859,-2112,-1412,
-771,-177,364,863,1332,1777,2212,2645,3083,3536,4013,4516,5051,5622,6214,6839,7483,8128,8767,9380,
9961,10489,10952,11333,11621,11809,11877,11831,11671,11404,11032,10570,10026,9415,8735,7998,7211,6379,5501,4584,
3646,2686,1719,750,-208,-1148,-2070,-2970,-3846,-4701,-5531,-6336,-7106,-7839,-8522,-9156,-9724,-10228,-10666,-11038,
-11340,-11563,-11714,-11782,-11757,-11639,-11420,-11094,-10668,-10149,-9543,-8869,-8137,-7364,-6569,-5755,-4950,-4154,-3383,-2648,
-1953,-1304,-711,-161,343,813,1264,1698,2133,2574,3032,3511,4021,4563,5141,5755,6395,7061,7738,8408,
9066,9693,10270,10791,11231,11586,11838,11979,12004,11911,11699,11383,10961,10449,9858,9201,8482,7716,6903,6050,
5160,4238,3288,2318,1348,370,-594,-1538,-2459,-3357,-4223,-5067,-5882,-6669,-7427,-8140,-8813,-9432,-9988,-10481,
-10903,-11251,-11529,-11729,-11850,-11889,-11833,-11683,-11431,-11081,-10623,-10067,-9425,-8714,-7943,-7139,-6308,-5465,-4634,-3816,
-3027,-2276,-1568,-910,-304,251,762,1237,1688,2121,2554,2987,3439,3909,4408,4937,5502,6094,6714,7353,
7995,8637,9256,9836,10369,10835,11224,11527,11732,11830,11813,11685,11446,11102,10650,10111,9498,8817,8084,7295,
6469,5611,4711,3788,2841,1875,902,-72,-1035,-1979,-2899,-3789,-4646,-5476,-6272,-7046,-7780,-8479,-9129,-9730,
-10265,-10735,-11128,-11448,-11686,-11844,-11923,-11911,-11806,-11610,-11316,-10918,-10426,-9842,-9179,-8458,-7680,-6881,-6066,-5255,
-4463,-3691,-2952,-2254,-1604,-994,-436,77,555,1005,1436,1859,2286,2729,3193,3687,4212,4773,5376,6006,
6660,7333,8007,8670,9305,9895,10427,10882,11255,11532,11702,11769,11718,11549,11276,10896,10408,9838,9194,8481,
7721,6911,6068,5197,4294,3370,2427,1462,494,-473,-1436,-2372,-3280,-4162,-5004,-5813,-6592,-7336,-8047,-8716,
-9342,-9919,-10433,-10878,-11250,-11541,-11751,-11877,-11916,-11866,-11723,-11487,-11151,-10722,-10193,-9576,-8878,-8121,-7313,-6482,
-5639,-4801,-3984,-3194,-2438,-1729,-1063,-442,125,653,1143,1606,2046,2481,2912,3363,3830,4328,4857,5417,
6015,6631,7271,7929,8577,9209,9802,10350,10832,11239,11552,11775,11891,11908,11808,11596,11289,10877,10364,9768,
9097,8362,7577,6748,5889,5003,4093,3165,2218,1260,295,-673,-1633,-2571,-3483,-4361,-5198,-6003,-6770,-7504,
-8197,-8851,-9460,-10016,-10514,-10943,-11291,-11562,-11749,-11842,-11847,-11764,-11582,-11310,-10944,-10488,-9941,-9312,-8608,-7859,
-7064,-6254,-5442,-4644,-3868,-3130,-2426,-1769,-1154,-585,-55,437,896,1336,1768,2192,2632,3087,3573,4088,
4641,5226,5849,6497,7162,7834,8501,9140,9736,10274,10741,11119,11396,11574,11649,11609,11464,11211,10861,10409,
9863,9237,8533,7771,6955,6103,5225,4324,3404,2470,1527,570,-390,-1349,-2298,-3224,-4128,-4995,-5823,-6613,
-7363,-8072,-8740,-9362,-9940,-10472,-10935,-11336,-11656,-11896,-12047,-12107,-12071,-11943,-11718,-11403,-10992,-10494,-9904,-9237,
-8501,-7711,-6881,-6036,-5187,-4356,-3552,-2782,-2059,-1383,-749,-157,393,904,1388,1849,2297,2743,3200,3673,
4172,4702,5261,5850,6474,7117,7770,8426,9067,9680,10242,10748,11173,11509,11747,11885,11909,11836,11652,11371,
10998,10527,9964,9326,8613,7839,7020,6162,5276,4374,3453,2529,1587,644,-301,-1247,-2179,-3099,-3991,-4848,
-5661,-6441,-7173,-7863,-8510,-9110,-9666,-10167,-10607,-10980,-11276,-11489,-11610,-11641,-11571,-11411,-11148,-10798,-10359,-9836,
-9234,-8559,-7830,-7055,-6250,-5440,-4633,-3851,-3101,-2390,-1722,-1104,-523,12,517,991,1442,1879,2316,2750,
3208,3686,4193,4736,5310,5920,6555,7212,7875,8539,9174,9776,10325,10804,11196,11487,11670,11753,11722,11580,
11342,11002,10569,10052,9442,8761,8011,7200,6348,5450,4536,3604,2660,1713,760,-191,-1141,-2088,-3022,-3935,
-4829,-5683,-6505,-7278,-8009,-8689,-9321,-9904,-10441,-10916,-11335,-11687,-11965,-12155,-12258,-12256,-12163,-11970,-11677,-11292,
-10813,-10259,-9620,-8916,-8150,-7344,-6511,-5668,-4829,-4015,-3234,-2491,-1795,-1152,-540,23,555,1056,1536,2003,
2468,2936,3420,3925,4456,5013,5602,6220,6857,7508,8159,8802,9422,10003,10517,10967,11321,11582,11729,11774,
11711,11541,11272,10913,10467,9938,9331,8653,7910,7109,6262,5380,4476,3552,2619,1691,757,-169,-1094,-2012,
-2914,-3798,-4660,-5487,-6275,-7023,-7724,-8370,-8969,-9514,-10005,-10439,-10812,-11116,-11347,-11492,-11542,-11496,-11349,-11105,
-10759,-10322,-9803,-9208,-8543,-7821,-7059,-6263,-5447,-4632,-3835,-3065,-2335,-1646,-1010,-420,128,637,1119,1576,
2019,2459,2902,3353,3825,4328,4859,5422,6017,6638,7283,7938,8593,9231,9836,10392,10884,11304,11625,11841,
11944,11934,11816,11588,11261,10841,10342,9761,9104,8384,7599,6759,5875,4955,4013,3057,2091,1130,173,-774,
-1716,-2646,-3560,-4459,-5329,-6172,-6975,-7735,-8448,-9106,-9705,-10249,-10739,-11166,-11532,-11828,-12050,-12188,-12235,-12180,
-12024,-11762,-11402,-10954,-10413,-9800,-9122,-8381,-7603,-6795,-5970,-5147,-4338,-3557,-2807,-2111,-1461,-857,-293,232,
731,1208,1671,2132,2600,3072,3572,4094,4645,5223,5825,6456,7095,7741,8378,8994,9574,10098,10559,10937,
11222,11397,11465,11422,11270,11010,10657,10217,9702,9107,8449,7734,6959,6137,5270,4367,3443,2506,1562,624,
-307,-1226,-2133,-3021,-3894,-4743,-5573,-6368,-7129,-7843,-8511,-9126,-9680,-10170,-10605,-10972,-11274,-11508,-11661,-11732,
-11709,-11587,-11364,-11036,-10618,-10100,-9505,-8844,-8121,-7354,-6557,-5747,-4924,-4118,-3330,-2579,-1867,-1202,-591,-25,
503,992,1461,1910,2357,2807,3266,3740,4244,4778,5337,5930,6551,7196,7852,8505,9147,9758,10334,10843,
11285,11640,11894,12043,12077,11993,11801,11495,11098,10614,10048,9413,8719,7967,7156,6302,5407,4480,3531,2562,
1590,626,-331,-1270,-2200,-3104,-3988,-4848,-5687,-6493,-7263,-7993,-8675,-9299,-9862,-10363,-10801,-11170,-11469,-11696,
-11848,-11917,-11889,-11760,-11540,-11207,-10777,-10254,-9654,-8980,-8257,-7484,-6685,-5874,-5059,-4258,-3475,-2732,-2025,-1365,
-752,-187,342,836,1308,1762,2216,2674,3144,3624,4138,4677,5253,5838,6459,7094,7736,8364,8981,9559,
10089,10558,10949,11253,11463,11561,11550,11427,11194,10856,10422,9905,9319,8669,7956,7197,6387,5542,4654,3737,
2800,1847,887,-62,-1002,-1918,-2819,-3695,-4545,-5369,-6163,-6931,-7661,-8348,-8990,-9572,-10092,-10542,-10929,-11239,
-11476,-11636,-11718,-11713,-11616,-11418,-11123,-10722,-10231,-9645,-8990,-8274,-7509,-6715,-5904,-5090,-4284,-3500,-2746,-2032,
-1360,-737,-161,370,866,1330,1776,2206,2648,3097,3564,4055,4578,5132,5720,6331,6971,7622,8278,8922,
9543,10125,10651,11105,11481,11771,11959,12029,11991,11838,11578,11207,10743,10194,9573,8885,8144,7357,6525,5657,
4753,3824,2869,1904,935,-33,-987,-1920,-2827,-3709,-4562,-5390,-6188,-6951,-7682,-8369,-9014,-9597,-10120,-10576,
-10964,-11271,-11501,-11659,-11733,-11721,-11617,-11418,-11119,-10721,-10229,-9646,-8994,-8278,-7518,-6722,-5921,-5112,-4316,-3540,
-2798,-2090,-1421,-797,-220,315,819,1294,1750,2199,2651,3112,3593,4097,4631,5189,5782,6395,7024,7664,
8298,8908,9491,10024,10496,10892,11204,11419,11539,11550,11451,11249,10933,10521,10014,9430,8777,8059,7300,6489,
5652,4773,3869,2941,1997,1038,75,-882,-1823,-2744,-3641,-4502,-5331,-6127,-6897,-7628,-8323,-8975,-9583,-10130,
-10616,-11023,-11365,-11619,-11798,-11887,-11898,-11817,-11642,-11374,-11012,-10549,-10000,-9366,-8666,-7911,-7119,-6304,-5492,-4683,
-3895,-3140,-2414,-1736,-1101,-510,43,551,1027,1482,1921,2360,2807,3266,3750,4266,4812,5391,5998,6631,
7282,7940,8590,9214,9804,10342,10812,11198,11499,11705,11806,11797,11682,11457,11130,10699,10179,9572,8899,8166,
7383,6565,5706,4828,3919,2988,2046,1084,124,-834,-1777,-2698,-3595,-4455,-5281,-6072,-6831,-7550,-8236,-8877,
-9471,-10012,-10484,-10891,-11223,-11466,-11631,-11712,-11706,-11612,-11424,-11146,-10771,-10305,-9750,-9120,-8422,-7665,-6878,-6073,
-5266,-4467,-3685,-2942,-2229,-1558,-926,-336,212,729,1220,1682,2142,2591,3051,3528,4027,4557,5114,5699,
6312,6941,7584,8222,8844,9438,9981,10467,10880,11201,11432,11564,11596,11518,11339,11058,10676,10198,9633,8990,
8282,7516,6708,5860,4985,4089,3174,2240,1301,347,-608,-1557,-2493,-3405,-4291,-5139,-5946,-6719,-7453,-8144,
-8798,-9406,-9970,-10472,-10910,-11277,-11571,-11770,-11888,-11916,-11858,-11696,-11451,-11108,-10680,-10159,-9559,-8883,-8148,-7372,
-6561,-5740,-4928,-4128,-3366,-2632,-1944,-1295,-689,-122,402,899,1371,1827,2271,2720,3181,3668,4173,4715,
5288,5890,6518,7162,7815,8468,9100,9702,10250,10730,11136,11446,11662,11776,11782,11686,11490,11190,10794,10303,
9728,9078,8359,7580,6765,5906,5026,4127,3210,2282,1346,400,-544,-1483,-2410,-3316,-4190,-5030,-5830,-6593,
-7310,-7984,-8618,-9209,-9749,-10236,-10654,-11007,-11282,-11470,-11565,-11574,-11492,-11314,-11041,-10683,-10237,-9704,-9094,-8416,
-7682,-6903,-6097,-5282,-4478,-3691,-2932,-2211,-1530,-892,-294,269,793,1296,1773,2236,2698,3161,3636,4134,
4655,5206,5791,6394,7018,7653,8294,8922,9522,10082,10582,11011,11351,11595,11742,11781,11717,11553,11290,10931,
10483,9942,9327,8639,7881,7070,6224,5343,4439,3515,2583,1647,705,-243,-1179,-2117,-3041,-3942,-4811,-5649,
-6442,-7198,-7901,-8562,-9175,-9738,-10256,-10714,-11108,-11426,-11674,-11822,-11888,-11855,-11729,-11505,-11187,-10781,-10288,-9719,
-9077,-8368,-7616,-6827,-6020,-5206,-4414,-3640,-2904,-2209,-1560,-953,-387,146,644,1119,1574,2028,2474,2930,
3403,3905,4427,4982,5571,6183,6812,7456,8099,8729,9327,9885,10379,10797,11126,11353,11476,11495,11409,11217,
10933,10553,10088,9532,8907,8215,7454,6639,5787,4898,3990,3065,2139,1202,263,-667,-1591,-2510,-3417,-4298,
-5154,-5973,-6750,-7487,-8173,-8816,-9401,-9940,-10425,-10849,-11216,-11509,-11719,-11844,-11879,-11819,-11662,-11404,-11053,-10620,
-10098,-9504,-8837,-8115,-7352,-6555,-5743,-4926,-4130,-3345,-2615,-1915,-1262,-647,-77,465,976,1470,1950,2423,
2898,3383,3889,4413,4966,5547,6152,6776,7410,8051,8687,9294,9869,10389,10849,11218,11494,11669,11735,11695,
11546,11299,10962,10535,10025,9438,8779,8058,7275,6443,5571,4667,3742,2803,1864,923,-10,-945,-1865,-2776,
-3669,-4547,-5392,-6204,-6976,-7703,-8375,-9001,-9568,-10081,-10543,-10936,-11267,-11526,-11707,-11798,-11792,-11690,-11492,-11192,
-10794,-10315,-9751,-9118,-8430,-7684,-6909,-6110,-5300,-4501,-3716,-2965,-2255,-1593,-979,-402,131,636,1114,1576,
2028,2479,2935,3407,3901,4417,4964,5543,6145,6769,7406,8040,8670,9270,9831,10342,10782,11134,11390,11540,
11588,11519,11343,11070,10707,10253,9721,9113,8442,7708,6918,6077,5199,4289,3361,2415,1474,535,-401,-1324,
-2238,-3135,-4009,-4864,-5696,-6492,-7249,-7961,-8616,-9221,-9766,-10258,-10686,-11054,-11350,-11580,-11725,-11789,-11755,-11624,
-11398,-11073,-10647,-10141,-9555,-8902,-8195,-7440,-6660,-5857,-5045,-4249,-3470,-2719,-2009,-1343,-722,-141,407,922,
1414,1898,2375,2851,3335,3839,4364,4914,5488,6094,6716,7350,7990,8620,9232,9817,10347,10819,11212,11520,
11725,11819,11808,11687,11458,11131,10711,10211,9636,8995,8292,7535,6723,5868,4977,4053,3112,2156,1203,255,
-681,-1606,-2509,-3399,-4265,-5111,-5932,-6716,-7460,-8160,-8805,-9398,-9929,-10396,-10801,-11138,-11406,-11601,-11713,-11740,
-11672,-11503,-11240,-10872,-10411,-9870,-9250,-8567,-7839,-7070,-6283,-5484,-4683,-3901,-3142,-2418,-1739,-1103,-511,32,
550,1031,1496,1953,2403,2860,3328,3821,4335,4879,5448,6046,6662,7289,7918,8537,9135,9698,10207,10653,
11019,11300,11476,11546,11504,11356,11097,10744,10298,9771,9172,8510,7791,7020,6198,5337,4448,3520,2580,1620,
669,-277,-1209,-2131,-3025,-3897,-4747,-5575,-6370,-7136,-7862,-8548,-9170,-9744,-10249,-10693,-11068,-11372,-11603,-11766,
-11840,-11830,-11727,-11531,-11232,-10836,-10349,-9776,-9135,-8431,-7685,-6907,-6112,-5312,-4509,-3738,-2982,-2264,-1589,-955,
-365,186,712,1202,1682,2154,2627,3108,3607,4129,4677,5249,5848,6467,7102,7742,8375,8993,9577,10119,
10599,11016,11341,11575,11706,11731,11646,11451,11150,10755,10270,9707,9075,8384,7638,6855,6019,5153,4254,3325,
2379,1425,471,-475,-1409,-2316,-3202,-4062,-4895,-5705,-6483,-7225,-7932,-8595,-9199,-9752,-10239,-10658,-11004,-11275,
-11474,-11596,-11633,-11584,-11439,-11206,-10870,-10434,-9911,-9315,-8639,-7918,-7152,-6365,-5570,-4772,-3990,-3231,-2499,-1805,
-1154,-549,13,536,1034,1504,1961,2415,2870,3338,3826,4336,4876,5440,6030,6643,7267,7897,8518,9112,
9676,10185,10635,11010,11298,11496,11588,11574,11453,11226,10889,10463,9944,9351,8689,7970,7201,6397,5546,4670,
3760,2834,1885,923,-35,-984,-1919,-2836,-3718,-4572,-5395,-6193,-6957,-7688,-8377,-9029,-9616,-10155,-10621,-11024,
-11350,-11597,-11766,-11860,-11861,-11783,-11611,-11346,-10986,-10531,-9987,-9370,-8684,-7949,-7177,-6388,-5591,-4800,-4028,-3276,
-2556,-1875,-1230,-626,-62,465,971,1454,1927,2398,2876,3370,3884,4424,4992,5582,6197,6832,7471,8111,
8733,9325,9871,10363,10785,11127,11377,11531,11583,11530,11372,11108,10741,10286,9746,9127,8444,7709,6929,6112,
5262,4384,3480,2558,1620,673,-274,-1210,-2132,-3025,-3890,-4729,-5530,-6298,-7035,-7730,-8393,-9005,-9566,-10070,
-10508,-10875,-11163,-11369,-11496,-11538,-11494,-11361,-11138,-10820,-10413,-9912,-9330,-8674,-7956,-7193,-6400,-5599,-4799,-4004,
-3234,-2500,-1797,-1134,-512,70,614,1122,1609,2073,2533,2991,3460,3945,4451,4985,5547,6137,6748,7373,
8007,8636,9238,9811,10337,10800,11186,11492,11704,11820,11829,11737,11544,11241,10847,10359,9784,9137,8427,7658,
6854,6011,5136,4244,3327,2396,1449,495,-459,-1402,-2331,-3234,-4104,-4941,-5743,-6510,-7239,-7928,-8583,-9184,
-9734,-10230,-10657,-11014,-11289,-11482,-11589,-11609,-11543,-11387,-11147,-10812,-10390,-9879,-9291,-8640,-7918,-7165,-6380,-5589,
-4801,-4029,-3283,-2568,-1887,-1244,-640,-75,461,966,1453,1922,2385,2854,3340,3836,4360,4909,5488,6089,
6710,7342,7976,8593,9187,9741,10242,10665,11012,11267,11430,11489,11449,11305,11068,10728,10293,9773,9167,8494,
7759,6971,6150,5290,4408,3510,2592,1661,723,-221,-1162,-2094,-3009,-3900,-4751,-5575,-6357,-7103,-7807,-8466,
-9085,-9655,-10173,-10632,-11026,-11346,-11582,-11736,-11797,-11773,-11652,-11444,-11144,-10759,-10281,-9727,-9096,-8404,-7655,-6869,
-6065,-5257,-4463,-3688,-2937,-2231,-1558,-928,-335,218,743,1240,1720,2184,2648,3116,3601,4106,4636,5188,
5772,6377,7004,7631,8263,8877,9460,10003,10488,10899,11221,11453,11584,11617,11548,11374,11111,10747,10292,9750,
9131,8442,7692,6894,6053,5185,4291,3386,2462,1536,601,-338,-1274,-2196,-3108,-3987,-4841,-5655,-6429,-7167,
-7856,-8498,-9102,-9651,-10147,-10589,-10960,-11259,-11478,-11606,-11646,-11594,-11447,-11214,-10882,-10475,-9983,-9407,-8766,-8068,
-7323,-6547,-5754,-4964,-4181,-3428,-2707,-2026,-1376,-773,-200,332,841,1329,1802,2266,2735,3210,3706,4215,
4755,5322,5915,6526,7155,7783,8404,9007,9575,10090,10539,10907,11187,11372,11453,11429,11301,11079,10761,10355,
9862,9287,8638,7915,7147,6323,5463,4575,3667,2744,1817,884,-48,-983,-1908,-2822,-3721,-4591,-5432,-6235,
-6996,-7715,-8383,-9003,-9579,-10096,-10561,-10967,-11308,-11571,-11751,-11841,-11843,-11745,-11551,-11270,-10895,-10435,-9896,-9283,
-8606,-7877,-7106,-6309,-5504,-4706,-3921,-3164,-2447,-1769,-1131,-530,29,554,1061,1543,2021,2489,2959,3444,
3945,4468,5019,5598,6199,6816,7449,8080,8695,9295,9848,10351,10786,11134,11391,11551,11602,11548,11393,11145,
10804,10376,9863,9272,8617,7890,7104,6282,5416,4520,3607,2690,1761,835,-93,-1014,-1926,-2828,-3712,-4565,
-5394,-6184,-6934,-7636,-8289,-8889,-9441,-9936,-10377,-10756,-11065,-11302,-11460,-11518,-11495,-11372,-11152,-10838,-10440,-9955,
-9395,-8767,-8088,-7356,-6592,-5805,-5013,-4231,-3466,-2728,-2032,-1380,-761,-185,357,871,1363,1844,2313,2784,
3258,3751,4266,4798,5361,5945,6548,7167,7794,8412,9012,9589,10113,10576,10968,11273,11479,11584,11578,11469,
11255,10950,10558,10076,9518,8895,8199,7450,6641,5786,4900,3986,3056,2118,1177,238,-695,-1616,-2525,-3420,
-4297,-5146,-5969,-6751,-7495,-8189,-8831,-9415,-9952,-10422,-10836,-11186,-11468,-11677,-11798,-11832,-11772,-11613,-11354,-10998,
-10560,-10040,-9444,-8784,-8076,-7324,-6540,-5747,-4951,-4166,-3407,-2680,-1990,-1344,-737,-170,364,869,1355,1833,
2302,2774,3262,3760,4281,4825,5395,5992,6602,7221,7851,8472,9065,9623,10133,10584,10959,11240,11423,11502,
11473,11340,11104,10772,10353,9855,9284,8644,7942,7191,6380,5527,4644,3731,2804,1869,934,7,-915,-1824,
-2710,-3585,-4441,-5261,-6064,-6825,-7548,-8219,-8839,-9401,-9907,-10347,-10726,-11038,-11286,-11458,-11546,-11541,-11450,-11259,
-10970,-10590,-10120,-9573,-8957,-8279,-7559,-6807,-6029,-5244,-4458,-3691,-2947,-2234,-1561,-929,-337,219,743,1246,
1730,2207,2684,3170,3666,4180,4720,5281,5867,6474,7095,7715,8340,8943,9515,10044,10523,10933,11257,11485,
11613,11637,11554,11360,11070,10682,10213,9665,9049,8370,7637,6853,6020,5149,4245,3314,2372,1422,474,-465,
-1396,-2308,-3199,-4066,-4916,-5733,-6527,-7277,-7995,-8659,-9266,-9819,-10311,-10733,-11095,-11385,-11605,-11749,-11810,-11781,
-11658,-11438,-11123,-10709,-10214,-9640,-8995,-8295,-7560,-6789,-6005,-5213,-4430,-3663,-2928,-2221,-1558,-932,-348,203,
721,1215,1700,2179,2655,3144,3649,4171,4718,5287,5878,6488,7110,7732,8349,8937,9497,10006,10457,10837,
11132,11331,11435,11430,11317,11099,10782,10372,9881,9313,8685,7996,7252,6465,5631,4764,3865,2944,2010,1068,
126,-803,-1720,-2613,-3484,-4329,-5152,-5947,-6708,-7434,-8125,-8762,-9348,-9866,-10334,-10720,-11041,-11295,-11470,-11571,
-11583,-11512,-11349,-11088,-10733,-10284,-9754,-9150,-8481,-7764,-7012,-6237,-5451,-4664,-3892,-3142,-2419,-1729,-1082,-472,
100,639,1148,1640,2122,2600,3084,3580,4097,4633,5195,5775,6382,7001,7626,8245,8855,9435,9973,10457,
10873,11214,11469,11627,11679,11632,11473,11212,10850,10397,9866,9258,8592,7870,7102,6287,5438,4557,3646,2711,
1768,819,-129,-1070,-1990,-2885,-3755,-4603,-5414,-6196,-6953,-7670,-8347,-8978,-9549,-10062,-10510,-10883,-11185,-11414,
-11567,-11640,-11626,-11522,-11334,-11043,-10667,-10196,-9644,-9017,-8334,-7601,-6840,-6052,-5269,-4490,-3729,-2991,-2281,-1605,
-974,-378,181,712,1213,1698,2173,2648,3133,3631,4153,4690,5254,5839,6445,7067,7687,8298,8894,9451,
9965,10417,10805,11112,11324,11442,11460,11377,11187,10893,10502,10027,9469,8836,8146,7408,6622,5799,4944,4061,
3155,2223,1284,338,-603,-1532,-2442,-3331,-4187,-5013,-5806,-6570,-7293,-7987,-8642,-9245,-9788,-10273,-10694,-11038,
-11307,-11498,-11609,-11640,-11582,-11441,-11208,-10879,-10469,-9962,-9381,-8731,-8027,-7275,-6504,-5718,-4932,-4159,-3406,-2680,
-1983,-1323,-705,-118,435,958,1459,1944,2428,2912,3404,3914,4445,5001,5580,6179,6796,7423,8048,8660,
9246,9790,10286,10712,11065,11331,11504,11581,11557,11431,11209,10876,10454,9943,9354,8694,7981,7215,6411,5571,
4703,3810,2894,1963,1025,80,-861,-1791,-2702,-3585,-4435,-5255,-6039,-6788,-7499,-8173,-8806,-9390,-9917,-10385,
-10781,-11103,-11347,-11511,-11594,-11587,-11493,-11313,-11044,-10683,-10234,-9703,-9097,-8424,-7699,-6939,-6158,-5365,-4582,-3814,
-3072,-2364,-1681,-1039,-436,131,668,1179,1671,2145,2620,3100,3588,4100,4628,5186,5762,6360,6976,7596,
8211,8809,9382,9909,10376,10775,11091,11325,11460,11497,11438,11275,11016,10657,10208,9674,9064,8383,7647,6864,
6044,5188,4311,3413,2501,1569,635,-303,-1236,-2161,-3063,-3936,-4776,-5586,-6347,-7080,-7772,-8423,-9032,-9586,
-10089,-10530,-10899,-11196,-11413,-11540,-11584,-11542,-11405,-11187,-10878,-10480,-9998,-9442,-8814,-8124,-7386,-6619,-5837,-5052,
-4274,-3517,-2791,-2099,-1441,-819,-234,322,850,1358,1841,2320,2798,3285,3782,4305,4848,5416,6006,6614,
7238,7863,8478,9075,9635,10145,10593,10958,11247,11440,11537,11534,11430,11230,10934,10539,10059,9502,8862,8158,
7404,6595,5758,4891,4000,3098,2177,1246,319,-619,-1545,-2463,-3357,-4228,-5059,-5857,-6613,-7329,-8002,-8634,
-9218,-9750,-10228,-10648,-10992,-11262,-11447,-11550,-11567,-11485,-11319,-11060,-10719,-10290,-9778,-9195,-8548,-7839,-7089,-6312,
-5525,-4737,-3966,-3219,-2502,-1825,-1177,-573,-3,540,1055,1553,2033,2506,2985,3474,3970,4494,5040,5610,
6197,6803,7416,8037,8637,9214,9755,10236,10652,10989,11234,11388,11441,11396,11255,11016,10682,10258,9755,9169,
8510,7788,7015,6194,5338,4456,3556,2645,1722,797,-128,-1059,-1976,-2885,-3774,-4631,-5455,-6243,-6987,-7687,
-8341,-8951,-9516,-10022,-10470,-10857,-11177,-11417,-11575,-11643,-11624,-11505,-11298,-11005,-10620,-10154,-9615,-9006,-8337,-7614,
-6858,-6082,-5296,-4515,-3757,-3023,-2325,-1663,-1037,-452,107,634,1141,1633,2111,2589,3074,3570,4079,4617,
5176,5760,6360,6974,7596,8213,8811,9386,9910,10380,10777,11083,11301,11419,11434,11347,11167,10892,10524,10070,
9537,8931,8250,7513,6725,5890,5023,4132,3225,2305,1384,462,-458,-1376,-2283,-3177,-4052,-4894,-5705,-6478,
-7207,-7890,-8528,-9112,-9644,-10125,-10543,-10905,-11191,-11404,-11529,-11564,-11511,-11361,-11113,-10783,-10366,-9867,-9296,-8660,
-7970,-7239,-6469,-5687,-4900,-4123,-3367,-2642,-1953,-1300,-687,-112,433,956,1458,1940,2420,2897,3388,3889,
4406,4948,5510,6095,6694,7305,7920,8528,9105,9660,10161,10599,10956,11232,11410,11486,11459,11333,11107,10791,
10389,9898,9336,8705,8008,7251,6447,5598,4716,3813,2892,1969,1039,114,-803,-1721,-2620,-3504,-4371,-5202,
-6007,-6770,-7489,-8161,-8775,-9347,-9860,-10311,-10710,-11040,-11298,-11480,-11576,-11586,-11504,-11319,-11046,-10682,-10234,-9709,
-9117,-8463,-7766,-7024,-6259,-5484,-4706,-3940,-3199,-2492,-1821,-1185,-587,-26,508,1019,1513,2000,2480,2967,
3464,3976,4508,5065,5643,6238,6846,7465,8071,8673,9244,9774,10250,10659,10987,11222,11362,11399,11324,11159,
10892,10532,10091,9571,8980,8326,7605,6833,6015,5154,4264,3348,2425,1492,565,-361,-1276,-2182,-3066,-3938,
-4785,-5606,-6394,-7144,-7845,-8500,-9100,-9650,-10138,-10565,-10929,-11227,-11455,-11600,-11666,-11646,-11526,-11313,-10999,-10606,
-10122,-9564,-8943,-8268,-7548,-6792,-6017,-5235,-4456,-3691,-2953,-2245,-1580,-952,-359,198,727,1241,1738,2226,
2711,3204,3711,4235,4776,5342,5927,6528,7134,7746,8350,8936,9486,9995,10440,10822,11115,11317,11418,11418,
11309,11104,10798,10408,9932,9385,8770,8094,7363,6579,5749,4883,3985,3069,2138,1206,279,-649,-1556,-2453,
-3327,-4182,-5014,-5814,-6589,-7323,-8007,-8647,-9227,-9754,-10219,-10615,-10953,-11218,-11413,-11527,-11561,-11502,-11348,-11105,
-10763,-10336,-9826,-9243,-8597,-7909,-7176,-6419,-5648,-4875,-4107,-3358,-2637,-1953,-1302,-691,-115,431,951,1453,
1942,2432,2920,3415,3932,4465,5017,5595,6189,6796,7409,8021,8619,9192,9722,10211,10628,10976,11233,11395,
11463,11423,11274,11028,10687,10256,9744,9163,8518,7819,7061,6263,5421,4547,3644,2716,1782,840,-94,-1017,
-1924,-2813,-3676,-4522,-5339,-6128,-6885,-7602,-8274,-8898,-9460,-9969,-10414,-10787,-11091,-11329,-11490,-11575,-11572,-11483,
-11301,-11025,-10651,-10195,-9654,-9043,-8381,-7666,-6924,-6155,-5375,-4604,-3837,-3099,-2384,-1703,-1065,-458,115,655,
1173,1671,2162,2653,3143,3649,4173,4713,5278,5861,6461,7068,7679,8279,8865,9422,9927,10384,10768,11081,
11301,11426,11449,11372,11187,10909,10531,10070,9529,8924,8252,7533,6765,5957,5108,4231,3322,2397,1460,525,
-412,-1331,-2233,-3109,-3963,-4793,-5594,-6360,-7102,-7799,-8454,-9056,-9602,-10089,-10507,-10853,-11131,-11331,-11456,-11504,
-11466,-11335,-11122,-10807,-10406,-9919,-9355,-8722,-8037,-7311,-6560,-5789,-5015,-4255,-3501,-2778,-2080,-1420,-797,-207,
351,878,1387,1879,2366,2852,3349,3859,4392,4941,5512,6106,6711,7326,7938,8537,9116,9654,10141,10572,
10927,11202,11386,11473,11460,11341,11119,10806,10392,9896,9323,8683,7987,7243,6447,5625,4764,3874,2961,2029,
1089,150,-784,-1707,-2603,-3480,-4328,-5148,-5933,-6689,-7410,-8089,-8727,-9314,-9846,-10310,-10707,-11029,-11280,-11454,
-11548,-11560,-11490,-11330,-11081,-10739,-10310,-9798,-9208,-8554,-7848,-7110,-6348,-5570,-4793,-4035,-3287,-2571,-1878,-1225,
-609,-22,532,1056,1566,2059,2553,3044,3549,4067,4606,5165,5745,6345,6954,7566,8173,8762,9323,9841,
10303,10702,11022,11257,11398,11447,11396,11245,10992,10646,10206,9682,9082,8424,7708,6945,6142,5310,4446,3554,
2646,1720,786,-146,-1079,-1991,-2881,-3743,-4578,-5378,-6146,-6880,-7574,-8235,-8846,-9407,-9910,-10349,-10720,-11012,
-11231,-11366,-11424,-11393,-11278,-11076,-10790,-10410,-9948,-9408,-8791,-8117,-7397,-6647,-5880,-5104,-4335,-3587,-2855,-2162,
-1495,-863,-265,299,839,1350,1848,2335,2821,3311,3811,4332,4874,5439,6023,6624,7233,7845,8443,9023,
9573,10068,10506,10870,11155,11352,11451,11461,11368,11175,10887,10506,10030,9475,8844,8155,7410,6622,5792,4941,
4060,3158,2242,1308,371,-566,-1496,-2411,-3306,-4167,-4998,-5793,-6552,-7272,-7960,-8599,-9197,-9741,-10230,-10654,
-11003,-11278,-11475,-11586,-11613,-11556,-11408,-11180,-10858,-10451,-9963,-9402,-8770,-8081,-7349,-6591,-5822,-5045,-4278,-3537,
-2816,-2128,-1472,-849,-265,295,827,1337,1837,2328,2819,3316,3828,4357,4910,5482,6073,6679,7290,7899,
8493,9062,9595,10070,10483,10820,11072,11234,11295,11266,11143,10916,10600,10186,9692,9117,8471,7765,7009,6209,
5375,4516,3635,2739,1820,902,-22,-948,-1865,-2764,-3641,-4485,-5299,-6074,-6810,-7508,-8160,-8771,-9338,-9847,
-10303,-10686,-11005,-11241,-11400,-11472,-11456,-11350,-11159,-10881,-10517,-10070,-9549,-8955,-8292,-7584,-6837,-6068,-5292,-4516,
-3758,-3022,-2316,-1642,-1002,-400,175,724,1246,1752,2246,2734,3224,3726,4240,4783,5340,5915,6516,7121,
7734,8339,8923,9483,9997,10452,10837,11144,11356,11478,11504,11432,11265,10997,10644,10200,9676,9075,8398,7671,
6893,6069,5211,4338,3438,2531,1609,682,-243,-1166,-2085,-2979,-3856,-4700,-5513,-6284,-7013,-7701,-8344,-8938,
-9488,-9980,-10418,-10790,-11090,-11305,-11442,-11487,-11443,-11313,-11093,-10789,-10399,-9928,-9384,-8774,-8098,-7386,-6632,-5870,
-5091,-4324,-3575,-2853,-2157,-1499,-876,-286,275,813,1331,1826,2319,2813,3309,3813,4337,4881,5442,6027,
6623,7229,7834,8432,9007,9546,10040,10465,10821,11092,11267,11350,11329,11215,11009,10705,10318,9848,9297,8672,
7983,7237,6438,5605,4736,3852,2949,2038,1121,199,-715,-1626,-2528,-3411,-4272,-5102,-5898,-6657,-7367,-8030,
-8654,-9220,-9736,-10200,-10601,-10941,-11204,-11385,-11489,-11497,-11417,-11245,-10987,-10640,-10211,-9705,-9133,-8497,-7805,-7076,
-6315,-5543,-4773,-4010,-3269,-2557,-1874,-1233,-622,-47,499,1024,1536,2030,2524,3014,3516,4029,4558,5110,
5685,6271,6871,7480,8084,8672,9235,9756,10228,10630,10959,11196,11338,11381,11325,11170,10925,10586,10165,9662,
9085,8438,7728,6964,6149,5300,4421,3521,2609,1691,768,-151,-1064,-1971,-2868,-3742,-4595,-5417,-6202,-6951,
-7648,-8304,-8906,-9456,-9953,-10393,-10773,-11084,-11320,-11481,-11558,-11539,-11436,-11232,-10942,-10567,-10111,-9584,-8985,-8333,
-7632,-6895,-6134,-5364,-4595,-3837,-3107,-2402,-1731,-1102,-499,68,609,1133,1638,2139,2635,3137,3643,4166,
4707,5269,5848,6440,7044,7646,8244,8817,9364,9864,10311,10681,10976,11180,11280,11286,11183,10993,10707,10329,
9874,9349,8748,8084,7358,6580,5759,4902,4014,3113,2197,1277,359,-552,-1456,-2351,-3230,-4086,-4920,-5728,
-6496,-7223,-7907,-8537,-9119,-9641,-10106,-10512,-10858,-11133,-11337,-11459,-11499,-11445,-11300,-11060,-10732,-10323,-9829,-9264,
-8641,-7966,-7250,-6502,-5737,-4966,-4204,-3450,-2735,-2042,-1388,-766,-181,370,902,1418,1917,2416,2909,3412,
3925,4456,5004,5571,6157,6754,7358,7959,8546,9109,9639,10120,10538,10883,11145,11314,11380,11348,11211,10980,
10658,10250,9763,9203,8574,7889,7145,6356,5520,4647,3752,2835,1911,987,61,-854,-1751,-2642,-3512,-4356,
-5180,-5975,-6734,-7454,-8125,-8744,-9309,-9812,-10264,-10645,-10965,-11219,-11392,-11489,-11501,-11423,-11253,-10987,-10633,-10196,
-9680,-9093,-8451,-7763,-7033,-6285,-5524,-4757,-4003,-3264,-2555,-1874,-1230,-622,-44,501,1027,1536,2032,2532,
3035,3543,4064,4603,5161,5737,6323,6921,7525,8118,8696,9241,9744,10197,10583,10894,11120,11246,11276,11203,
11028,10758,10397,9953,9433,8846,8195,7486,6729,5924,5083,4207,3306,2386,1463,533,-391,-1300,-2189,-3067,
-3925,-4753,-5559,-6331,-7075,-7774,-8420,-9023,-9565,-10044,-10460,-10812,-11095,-11306,-11444,-11497,-11471,-11349,-11139,-10837,
-10445,-9970,-9422,-8803,-8136,-7425,-6686,-5927,-5160,-4398,-3649,-2916,-2221,-1551,-917,-319,243,783,1300,1806,
2301,2798,3300,3813,4342,4886,5453,6040,6635,7243,7845,8434,9003,9533,10019,10453,10816,11094,11289,11386,
11381,11277,11066,10763,10374,9898,9352,8739,8065,7337,6564,5746,4897,4014,3108,2184,1257,325,-599,-1506,
-2395,-3263,-4112,-4928,-5718,-6479,-7209,-7887,-8524,-9113,-9635,-10097,-10493,-10817,-11079,-11263,-11366,-11392,-11336,-11189,
-10952,-10621,-10206,-9708,-9137,-8501,-7820,-7099,-6358,-5598,-4837,-4083,-3345,-2626,-1942,-1284,-666,-80,477,1007,
1519,2020,2514,3011,3516,4038,4571,5126,5700,6289,6886,7488,8082,8664,9210,9719,10178,10576,10899,11136,
11293,11345,11301,11152,10906,10566,10135,9625,9044,8399,7701,6946,6156,5328,4467,3574,2666,1738,805,-127,
-1053,-1960,-2843,-3706,-4539,-5342,-6120,-6864,-7572,-8234,-8854,-9416,-9925,-10359,-10732,-11031,-11259,-11407,-11476,-11466,
-11371,-11186,-10912,-10550,-10101,-9574,-8979,-8318,-7622,-6884,-6130,-5369,-4613,-3863,-3134,-2430,-1757,-1113,-508,72,
617,1139,1648,2147,2639,3143,3653,4180,4719,5282,5862,6457,7063,7666,8256,8829,9368,9863,10295,10670,
10961,11167,11287,11307,11227,11047,10772,10406,9948,9409,8804,8136,7418,6645,5843,5005,4139,3243,2336,1410,
480,-450,-1374,-2273,-3148,-4003,-4824,-5615,-6374,-7096,-7787,-8431,-9023,-9573,-10055,-10472,-10820,-11092,-11289,-11411,
-11442,-11401,-11269,-11052,-10748,-10354,-9881,-9334,-8713,-8038,-7325,-6580,-5824,-5061,-4307,-3566,-2845,-2150,-1494,-862,
-268,303,846,1361,1872,2367,2865,3372,3887,4420,4970,5539,6126,6723,7328,7928,8515,9074,9592,10059,
10468,10805,11057,11223,11298,11276,11156,10936,10623,10220,9731,9166,8530,7838,7094,6307,5486,4631,3758,2857,
1946,1021,92,-838,-1752,-2648,-3521,-4367,-5174,-5952,-6695,-7402,-8071,-8691,-9267,-9790,-10246,-10640,-10960,-11208,
-11374,-11458,-11454,-11374,-11204,-10952,-10609,-10182,-9682,-9106,-8466,-7774,-7050,-6291,-5529,-4766,-4019,-3280,-2576,-1896,
-1251,-632,-44,516,1046,1560,2067,2564,3061,3573,4093,4629,5187,5766,6356,6957,7562,8162,8738,9291,
9790,10241,10623,10929,11146,11281,11320,11261,11105,10855,10514,10088,9574,8981,8327,7610,6849,6046,5208,4353,
3469,2568,1658,737,-189,-1110,-2021,-2910,-3775,-4608,-5408,-6173,-6901,-7588,-8234,-8835,-9386,-9884,-10321,-10688,
-10986,-11204,-11341,-11398,-11361,-11249,-11044,-10755,-10386,-9933,-9409,-8814,-8154,-7452,-6716,-5956,-5192,-4435,-3690,-2966,
-2271,-1605,-970,-362,211,762,1292,1805,2308,2806,3314,3830,4355,4904,5467,6045,6640,7246,7842,8433,
9000,9531,10012,10431,10780,11048,11225,11316,11312,11210,11012,10725,10349,9890,9345,8728,8052,7315,6536,5711,
4862,3990,3101,2195,1283,365,-553,-1468,-2372,-3254,-4109,-4938,-5721,-6475,-7180,-7853,-8476,-9055,-9581,-10055,
-10460,-10802,-11068,-11258,-11369,-11387,-11318,-11166,-10925,-10599,-10193,-9712,-9157,-8540,-7865,-7149,-6401,-5635,-4873,-4112,
-3376,-2664,-1978,-1323,-702,-107,459,1000,1520,2032,2534,3034,3543,4063,4600,5149,5718,6303,6900,7498,
8095,8677,9235,9747,10207,10601,10923,11164,11304,11358,11313,11175,10943,10621,10213,9724,9154,8521,7821,7068,
6269,5428,4569,3684,2786,1878,966,49,-865,-1778,-2673,-3546,-4395,-5212,-5989,-6731,-7427,-8080,-8687,-9243,
-9747,-10194,-10575,-10894,-11138,-11303,-11381,-11373,-11273,-11093,-10821,-10463,-10033,-9523,-8952,-8313,-7628,-6907,-6159,-5394,
-4633,-3883,-3158,-2455,-1784,-1140,-535,51,600,1137,1658,2161,2667,3173,3685,4211,4756,5312,5885,6472,
7072,7665,8252,8824,9358,9852,10287,10653,10940,11139,11242,11251,11165,10987,10718,10354,9914,9396,8803,8147,
7425,6658,5842,4990,4120,3225,2326,1416,504,-408,-1313,-2213,-3095,-3958,-4795,-5600,-6363,-7089,-7765,-8400,
-8982,-9510,-9988,-10406,-10757,-11045,-11256,-11387,-11437,-11389,-11255,-11031,-10720,-10331,-9858,-9318,-8720,-8062,-7354,-6623,
-5866,-5098,-4337,-3596,-2871,-2179,-1514,-886,-285,286,833,1361,1876,2381,2891,3399,3919,4453,5002,5567,
6148,6738,7335,7935,8513,9077,9595,10073,10484,10828,11083,11256,11325,11303,11179,10965,10660,10269,9803,9258,
8645,7967,7237,6453,5625,4763,3882,2982,2075,1160,249,-660,-1558,-2450,-3322,-4168,-4996,-5788,-6541,-7258,
-7921,-8538,-9103,-9608,-10062,-10455,-10784,-11041,-11226,-11331,-11348,-11270,-11107,-10860,-10516,-10095,-9600,-9038,-8416,-7746,
-7034,-6298,-5542,-4784,-4031,-3294,-2584,-1905,-1254,-642,-57,502,1040,1561,2067,2576,3081,3590,4113,4654,
5205,5780,6356,6948,7540,8126,8691,9236,9735,10185,10564,10872,11094,11224,11253,11188,11025,10768,10417,9989,
9491,8917,8272,7577,6825,6026,5185,4310,3417,2507,1587,671,-243,-1146,-2041,-2923,-3783,-4626,-5438,-6214,
-6956,-7655,-8305,-8904,-9445,-9929,-10356,-10721,-11016,-11242,-11393,-11465,-11446,-11338,-11140,-10852,-10478,-10024,-9495,-8904,
-8259,-7567,-6843,-6102,-5342,-4583,-3834,-3107,-2411,-1742,-1102,-498,77,624,1154,1668,2174,2681,3193,3705,
4236,4783,5346,5922,6510,7105,7699,8279,8838,9366,9847,10274,10634,10916,11114,11209,11211,11112,10918,10629,
10251,9794,9265,8671,8010,7297,6532,5730,4881,4003,3103,2192,1270,355,-554,-1455,-2341,-3211,-4059,-4883,
-5676,-6442,-7164,-7849,-8480,-9061,-9583,-10046,-10446,-10782,-11049,-11242,-11360,-11401,-11355,-11210,-10987,-10673,-10266,-9782,
-9231,-8617,-7962,-7258,-6525,-5781,-5026,-4276,-3537,-2821,-2133,-1477,-854,-264,300,837,1361,1867,2372,2879,
3391,3910,4446,4997,5567,6148,6734,7329,7917,8486,9025,9536,9991,10388,10714,10960,11116,11173,11134,10996,
10758,10434,10016,9527,8966,8345,7660,6926,6142,5325,4463,3576,2670,1755,827,-93,-1006,-1901,-2779,-3640,
-4476,-5281,-6067,-6807,-7520,-8184,-8798,-9361,-9863,-10301,-10675,-10981,-11213,-11377,-11457,-11460,-11377,-11204,-10939,-10590,
-10154,-9643,-9058,-8427,-7741,-7027,-6283,-5533,-4773,-4028,-3295,-2591,-1911,-1263,-649,-64,495,1031,1551,2060,
2565,3073,3593,4120,4670,5231,5805,6395,6987,7580,8172,8732,9263,9760,10194,10569,10866,11080,11208,11233,
11164,10998,10734,10381,9938,9421,8840,8191,7490,6746,5954,5128,4267,3378,2477,1558,634,-282,-1191,-2078,
-2949,-3797,-4618,-5405,-6169,-6898,-7585,-8232,-8827,-9369,-9848,-10262,-10608,-10890,-11091,-11221,-11268,-11239,-11124,-10920,
-10627,-10250,-9786,-9254,-8650,-7996,-7303,-6576,-5833,-5084,-4331,-3598,-2875,-2181,-1522,-886,-285,286,838,1365,
1875,2382,2885,3394,3916,4445,4996,5559,6140,6731,7322,7907,8484,9028,9539,10004,10406,10741,10996,11168,
11251,11236,11123,10912,10607,10213,9732,9181,8560,7885,7154,6385,5575,4731,3860,2962,2051,1129,200,-720,
-1629,-2519,-3387,-4231,-5042,-5816,-6568,-7283,-7956,-8585,-9166,-9691,-10152,-10548,-10872,-11123,-11298,-11394,-11408,-11346,
-11200,-10962,-10640,-10232,-9744,-9185,-8561,-7890,-7181,-6443,-5695,-4944,-4195,-3467,-2757,-2073,-1420,-792,-200,368,
908,1436,1947,2454,2962,3473,4001,4537,5095,5673,6259,6847,7441,8032,8598,9134,9630,10076,10459,10763,
10988,11128,11178,11132,10987,10750,10418,10001,9495,8922,8284,7587,6845,6064,5245,4399,3525,2627,1718,802,
-119,-1028,-1932,-2809,-3667,-4493,-5287,-6050,-6776,-7465,-8117,-8720,-9274,-9775,-10206,-10573,-10869,-11087,-11226,-11288,
-11266,-11169,-10977,-10706,-10352,-9917,-9401,-8820,-8178,-7493,-6769,-6024,-5272,-4526,-3783,-3061,-2363,-1694,-1046,-431,
154,710,1250,1772,2285,2789,3301,3820,4351,4894,5459,6036,6626,7217,7810,8388,8946,9461,9939,10359,
10701,10972,11157,11254,11261,11170,10988,10708,10340,9886,9357,8751,8082,7362,6597,5793,4957,4094,3208,2307,
1393,476,-445,-1359,-2263,-3137,-3993,-4814,-5602,-6350,-7067,-7740,-8376,-8961,-9499,-9980,-10396,-10741,-11016,-11206,
-11320,-11353,-11304,-11172,-10952,-10648,-10263,-9798,-9262,-8660,-8001,-7303,-6571,-5824,-5070,-4326,-3590,-2883,-2193,-1539,
-909,-306,271,817,1353,1870,2381,2883,3398,3919,4455,5005,5576,6155,6746,7340,7924,8498,9044,9547,
10004,10393,10713,10948,11101,11160,11132,11004,10791,10480,10086,9609,9051,8425,7740,6997,6217,5403,4555,3684,
2799,1901,992,77,-837,-1741,-2636,-3501,-4345,-5152,-5922,-6658,-7356,-8003,-8611,-9177,-9688,-10140,-10528,-10844,
-11094,-11251,-11336,-11331,-11245,-11078,-10822,-10483,-10070,-9575,-9016,-8397,-7722,-7008,-6278,-5523,-4769,-4026,-3294,-2594,
-1916,-1268,-644,-54,516,1060,1593,2112,2624,3134,3653,4184,4725,5281,5857,6439,7034,7622,8206,8769,
9299,9782,10214,10580,10865,11062,11175,11199,11126,10960,10704,10361,9935,9425,8843,8193,7484,6723,5924,5094,
4233,3350,2457,1549,641,-267,-1180,-2076,-2961,-3821,-4657,-5457,-6220,-6938,-7621,-8254,-8844,-9383,-9868,-10296,
-10660,-10949,-11170,-11307,-11356,-11322,-11204,-11000,-10712,-10339,-9894,-9373,-8792,-8149,-7465,-6744,-5997,-5241,-4491,-3752,
-3030,-2341,-1671,-1033,-429,155,714,1253,1782,2297,2812,3327,3845,4382,4933,5492,6074,6659,7251,7836,
8410,8962,9480,9946,10356,10691,10949,11113,11188,11174,11066,10864,10572,10202,9746,9210,8608,7942,7213,6438,
5625,4780,3913,3027,2128,1225,323,-585,-1484,-2373,-3245,-4094,-4915,-5701,-6448,-7157,-7818,-8427,-8995,-9509,
-9970,-10367,-10702,-10965,-11156,-11257,-11276,-11210,-11052,-10811,-10486,-10081,-9607,-9056,-8446,-7789,-7088,-6359,-5608,-4854,
-4106,-3371,-2660,-1976,-1325,-700,-110,459,1007,1540,2062,2578,3088,3602,4131,4673,5225,5789,6375,6961,
7552,8136,8699,9238,9735,10181,10566,10873,11096,11225,11260,11206,11056,10813,10487,10075,9589,9027,8396,7703,
6960,6164,5332,4469,3587,2693,1787,876,-28,-934,-1831,-2711,-3578,-4417,-5231,-6010,-6746,-7440,-8093,-8686,
-9233,-9723,-10160,-10535,-10842,-11077,-11237,-11314,-11303,-11204,-11023,-10744,-10389,-9952,-9446,-8872,-8246,-7570,-6857,-6120,
-5371,-4615,-3876,-3150,-2448,-1774,-1136,-530,51,612,1150,1674,2189,2699,3213,3732,4262,4806,5363,5937,
6520,7108,7690,8265,8820,9343,9821,10244,10601,10877,11067,11162,11161,11069,10882,10603,10239,9798,9281,8690,
8040,7330,6573,5765,4924,4051,3163,2256,1347,440,-461,-1360,-2246,-3118,-3967,-4795,-5594,-6356,-7077,-7757,
-8384,-8961,-9482,-9949,-10353,-10695,-10968,-11171,-11297,-11339,-11292,-11158,-10930,-10620,-10219,-9750,-9209,-8608,-7957,-7264,
-6538,-5798,-5048,-4294,-3559,-2840,-2150,-1490,-864,-268,304,850,1384,1904,2415,2925,3438,3963,4502,5054,
5617,6199,6785,7373,7957,8524,9070,9582,10044,10442,10770,11018,11179,11236,11206,11076,10852,10538,10142,9668,
9121,8508,7832,7107,6331,5511,4657,3778,2877,1971,1054,146,-754,-1653,-2529,-3388,-4226,-5042,-5827,-6577,
-7288,-7951,-8565,-9122,-9625,-10064,-10449,-10763,-11006,-11182,-11273,-11281,-11208,-11039,-10787,-10443,-10019,-9519,-8955,-8329,
-7663,-6958,-6227,-5480,-4730,-3987,-3260,-2553,-1876,-1227,-610,-30,530,1067,1585,2101,2612,3119,3639,4165,
4702,5266,5830,6415,7003,7589,8168,8721,9250,9738,10172,10543,10840,11051,11172,11199,11125,10955,10693,10338,
9911,9400,8827,8185,7488,6742,5952,5116,4256,3365,2459,1543,624,-288,-1190,-2078,-2945,-3797,-4623,-5423,
-6194,-6924,-7618,-8266,-8858,-9397,-9875,-10290,-10646,-10927,-11139,-11278,-11339,-11314,-11203,-11005,-10718,-10344,-9885,-9359,
-8767,-8123,-7436,-6719,-5981,-5233,-4486,-3744,-3029,-2331,-1665,-1027,-425,149,702,1234,1749,2261,2774,3287,
3808,4343,4892,5458,6034,6620,7213,7802,8371,8920,9430,9901,10310,10651,10917,11094,11186,11173,11066,10861,
10560,10173,9714,9170,8566,7903,7185,6427,5621,4778,3910,3017,2101,1185,264,-648,-1549,-2433,-3294,-4133,
-4946,-5732,-6490,-7205,-7883,-8517,-9091,-9611,-10069,-10463,-10787,-11043,-11224,-11331,-11359,-11298,-11157,-10922,-10606,-10203,
-9718,-9167,-8555,-7889,-7188,-6461,-5715,-4970,-4226,-3493,-2789,-2100,-1443,-819,-228,340,884,1411,1923,2434,
2943,3462,3988,4526,5080,5653,6235,6829,7415,7999,8563,9094,9588,10032,10414,10722,10954,11094,11143,11091,
10945,10708,10375,9954,9455,8887,8255,7565,6830,6051,5235,4382,3503,2605,1694,773,-146,-1059,-1953,-2828,
-3683,-4507,-5304,-6075,-6811,-7511,-8165,-8778,-9332,-9828,-10264,-10629,-10925,-11148,-11293,-11372,-11357,-11265,-11085,-10819,
-10467,-10031,-9518,-8936,-8300,-7613,-6895,-6161,-5414,-4668,-3924,-3202,-2500,-1825,-1178,-569,16,576,1112,1634,
2148,2658,3170,3691,4222,4768,5333,5910,6501,7091,7688,8265,8817,9336,9815,10235,10587,10868,11063,11172,
11182,11096,10919,10646,10280,9827,9300,8701,8045,7333,6579,5783,4955,4096,3214,2308,1395,474,-445,-1353,
-2248,-3120,-3964,-4780,-5562,-6316,-7037,-7718,-8356,-8947,-9483,-9961,-10372,-10715,-10985,-11179,-11297,-11342,-11295,-11168,
-10956,-10662,-10281,-9819,-9282,-8681,-8027,-7327,-6604,-5859,-5110,-4367,-3634,-2917,-2229,-1567,-931,-327,248,797,
1332,1854,2365,2877,3395,3917,4456,5008,5582,6166,6756,7352,7937,8508,9053,9556,10010,10399,10717,10962,
11116,11183,11155,11033,10817,10508,10109,9628,9071,8445,7767,7032,6256,5450,4607,3742,2858,1950,1039,118,
-797,-1703,-2589,-3452,-4287,-5093,-5863,-6598,-7296,-7956,-8573,-9143,-9654,-10108,-10495,-10809,-11052,-11213,-11295,-11298,
-11216,-11049,-10801,-10467,-10053,-9558,-8995,-8370,-7695,-6980,-6242,-5494,-4746,-4004,-3275,-2572,-1896,-1244,-626,-34,
529,1077,1599,2115,2623,3133,3648,4178,4719,5277,5849,6435,7027,7620,8205,8769,9297,9784,10216,10581,
10868,11077,11197,11225,11159,11001,10748,10405,9974,9466,8880,8233,7525,6768,5974,5147,4296,3419,2527,1619,
703,-216,-1126,-2030,-2914,-3774,-4604,-5396,-6156,-6880,-7566,-8208,-8803,-9355,-9847,-10281,-10643,-10936,-11152,-11289,
-11342,-11311,-11199,-11001,-10722,-10357,-9917,-9398,-8816,-8175,-7488,-6764,-6022,-5272,-4527,-3791,-3073,-2383,-1717,-1080,
-473,105,661,1200,1725,2235,2742,3257,3781,4313,4859,5421,6003,6592,7186,7774,8351,8906,9416,9885,
10290,10628,10884,11055,11135,11125,11017,10823,10535,10163,9700,9162,8560,7885,7158,6385,5577,4739,3874,2993,
2098,1193,287,-629,-1532,-2428,-3304,-4149,-4964,-5743,-6488,-7192,-7851,-8466,-9039,-9559,-10021,-10426,-10762,-11019,
-11203,-11304,-11318,-11251,-11095,-10852,-10534,-10132,-9653,-9102,-8491,-7829,-7121,-6384,-5632,-4881,-4131,-3397,-2686,-2002,
-1350,-725,-130,445,991,1523,2043,2554,3064,3581,4105,4647,5197,5767,6351,6941,7531,8122,8690,9235,
9732,10178,10564,10874,11097,11235,11276,11231,11087,10853,10533,10127,9640,9077,8445,7754,7007,6211,5388,4529,
3656,2767,1866,961,50,-859,-1760,-2650,-3516,-4359,-5168,-5942,-6672,-7367,-8014,-8612,-9165,-9667,-10107,-10490,
-10800,-11039,-11199,-11270,-11259,-11163,-10974,-10703,-10354,-9927,-9423,-8855,-8228,-7551,-6841,-6103,-5351,-4603,-3865,-3146,
-2449,-1780,-1146,-537,42,598,1136,1657,2169,2677,3185,3702,4228,4772,5323,5897,6481,7072,7657,8237,
8792,9322,9801,10220,10577,10849,11042,11138,11141,11048,10864,10590,10233,9795,9275,8687,8028,7314,6550,5739,
4898,4031,3144,2247,1343,437,-468,-1372,-2265,-3144,-3999,-4829,-5625,-6387,-7102,-7778,-8405,-8981,-9506,-9980,
-10390,-10742,-11021,-11226,-11352,-11389,-11339,-11204,-10979,-10666,-10276,-9811,-9273,-8678,-8024,-7330,-6601,-5855,-5097,-4347,
-3612,-2894,-2205,-1550,-922,-320,247,797,1328,1849,2362,2867,3383,3907,4441,4992,5555,6134,6723,7314,
7900,8476,9024,9538,9998,10400,10733,10982,11137,11204,11171,11048,10828,10522,10132,9666,9121,8512,7837,7107,
6327,5503,4651,3773,2880,1978,1070,163,-737,-1633,-2520,-3383,-4228,-5048,-5834,-6579,-7286,-7944,-8552,-9109,
-9613,-10061,-10446,-10766,-11020,-11197,-11294,-11301,-11224,-11056,-10801,-10460,-10037,-9545,-8987,-8368,-7701,-6999,-6264,-5520,
-4770,-4027,-3297,-2592,-1919,-1276,-661,-78,484,1020,1545,2057,2569,3079,3595,4124,4663,5217,5791,6370,
6960,7547,8128,8690,9226,9718,10154,10528,10823,11036,11156,11181,11108,10940,10681,10333,9911,9406,8833,8198,
7503,6753,5957,5118,4253,3368,2462,1554,645,-263,-1165,-2053,-2926,-3781,-4620,-5422,-6194,-6929,-7620,-8264,
-8852,-9387,-9868,-10286,-10643,-10935,-11152,-11298,-11359,-11335,-11222,-11019,-10724,-10347,-9895,-9369,-8780,-8139,-7451,-6734,
-5992,-5239,-4490,-3750,-3028,-2331,-1664,-1031,-426,149,697,1232,1747,2261,2769,3283,3805,4341,4887,5451,
6026,6613,7203,7790,8368,8922,9438,9912,10327,10677,10949,11132,11219,11211,11102,10903,10607,10230,9770,9243,
8643,7989,7276,6513,5703,4857,3986,3090,2181,1268,357,-543,-1443,-2326,-3190,-4033,-4849,-5640,-6395,-7114,
-7790,-8417,-8990,-9503,-9958,-10351,-10679,-10940,-11131,-11244,-11273,-11217,-11074,-10840,-10519,-10113,-9631,-9083,-8473,-7811,
-7117,-6393,-5650,-4903,-4158,-3428,-2717,-2033,-1377,-756,-167,399,942,1468,1980,2492,3002,3518,4045,4588,
5143,5711,6292,6886,7472,8054,8622,9156,9654,10105,10487,10802,11031,11172,11221,11172,11020,10779,10441,10023,
9527,8962,8336,7655,6918,6136,5310,4456,3570,2668,1750,834,-83,-990,-1885,-2762,-3615,-4449,-5256,-6031,
-6772,-7482,-8140,-8747,-9307,-9800,-10233,-10601,-10902,-11132,-11289,-11373,-11370,-11282,-11105,-10839,-10483,-10050,-9538,-8962,
-8324,-7647,-6934,-6202,-5450,-4702,-3959,-3237,-2534,-1860,-1213,-602,-15,541,1077,1599,2113,2622,3136,3657,
4189,4736,5303,5877,6465,7057,7648,8227,8782,9303,9786,10210,10568,10852,11053,11161,11174,11094,10914,10637,
10270,9822,9304,8716,8064,7363,6614,5822,4990,4127,3245,2337,1421,507,-407,-1308,-2195,-3061,-3901,-4715,
-5510,-6264,-6987,-7670,-8311,-8904,-9432,-9906,-10311,-10647,-10919,-11116,-11238,-11279,-11242,-11118,-10907,-10606,-10220,-9754,
-9214,-8614,-7960,-7263,-6542,-5803,-5053,-4306,-3574,-2858,-2166,-1500,-872,-269,305,855,1388,1906,2414,2926,
3442,3966,4505,5060,5630,6213,6803,7397,7984,8554,9095,9602,10057,10453,10777,11027,11189,11256,11231,11108,
10888,10573,10168,9687,9130,8510,7832,7106,6333,5525,4680,3810,2912,2005,1084,166,-754,-1656,-2541,-3402,
-4239,-5043,-5819,-6564,-7272,-7941,-8567,-9140,-9656,-10108,-10496,-10808,-11050,-11221,-11312,-11323,-11251,-11098,-10852,-10522,
-10110,-9616,-9053,-8431,-7760,-7049,-6313,-5570,-4820,-4079,-3353,-2649,-1968,-1318,-699,-108,455,998,1524,2033,
2544,3052,3571,4100,4643,5203,5778,6362,6956,7547,8130,8689,9221,9705,10139,10508,10803,11017,11142,11175,
11114,10958,10705,10358,9928,9415,8833,8187,7489,6743,5956,5134,4284,3407,2510,1598,678,-238,-1149,-2046,
-2926,-3777,-4598,-5390,-6150,-6876,-7562,-8210,-8816,-9362,-9852,-10282,-10644,-10929,-11140,-11277,-11331,-11308,-11196,-11003,
-10725,-10365,-9916,-9398,-8811,-8167,-7477,-6753,-6013,-5265,-4517,-3782,-3063,-2371,-1700,-1061,-452,128,684,1220,
1741,2254,2766,3279,3799,4334,4885,5452,6032,6619,7216,7807,8385,8935,9451,9920,10327,10664,10924,11099,
11188,11179,11081,10889,10595,10217,9754,9212,8602,7931,7207,6439,5634,4799,3936,3053,2151,1238,318,-597,
-1509,-2404,-3278,-4121,-4938,-5720,-6466,-7172,-7844,-8472,-9055,-9583,-10052,-10459,-10794,-11051,-11238,-11341,-11366,-11304,
-11157,-10929,-10617,-10220,-9747,-9199,-8589,-7925,-7219,-6485,-5738,-4986,-4239,-3511,-2804,-2119,-1463,-836,-241,326,
879,1404,1921,2428,2936,3449,3974,4511,5067,5636,6221,6812,7405,7992,8561,9104,9604,10049,10432,10739,
10969,11110,11160,11118,10981,10754,10435,10025,9535,8970,8339,7643,6900,6118,5300,4453,3580,2694,1792,879,
-35,-946,-1850,-2737,-3605,-4439,-5240,-6006,-6738,-7425,-8075,-8681,-9238,-9742,-10187,-10564,-10875,-11107,-11261,-11329,
-11317,-11216,-11036,-10766,-10420,-9992,-9487,-8917,-8286,-7607,-6889,-6147,-5400,-4644,-3904,-3182,-2485,-1816,-1176,-563,
24,583,1125,1646,2161,2670,3180,3700,4231,4774,5337,5912,6499,7093,7686,8269,8833,9359,9844,10265,
10620,10899,11091,11195,11206,11123,10948,10682,10327,9886,9368,8776,8116,7400,6637,5829,4998,4133,3257,2359,
1458,546,-366,-1273,-2171,-3053,-3911,-4737,-5532,-6287,-7002,-7677,-8306,-8889,-9425,-9905,-10326,-10680,-10963,-11167,
-11292,-11332,-11287,-11154,-10935,-10634,-10253,-9793,-9265,-8670,-8018,-7323,-6595,-5848,-5095,-4346,-3610,-2896,-2211,-1551,
-923,-320,248,802,1335,1852,2364,2869,3382,3901,4434,4983,5550,6126,6714,7305,7895,8469,9017,9528,
9991,10390,10717,10961,11119,11185,11158,11036,10827,10523,10140,9671,9127,8512,7835,7100,6319,5498,4649,3778,
2890,1990,1087,179,-728,-1629,-2520,-3392,-4243,-5059,-5839,-6584,-7283,-7938,-8547,-9112,-9622,-10073,-10466,-10795,
-11048,-11223,-11318,-11323,-11244,-11075,-10821,-10481,-10068,-9576,-9020,-8402,-7735,-7029,-6296,-5545,-4794,-4047,-3324,-2620,
-1949,-1307,-691,-103,453,996,1521,2036,2544,3055,3569,4096,4635,5193,5765,6347,6940,7528,8113,8681,
9218,9712,10156,10532,10829,11043,11164,11190,11123,10963,10714,10375,9955,9455,8887,8246,7548,6795,5997,5161,
4302,3415,2520,1616,713,-193,-1096,-1991,-2868,-3732,-4568,-5375,-6144,-6875,-7562,-8200,-8789,-9329,-9814,-10240,
-10606,-10905,-11131,-11275,-11334,-11311,-11200,-10994,-10705,-10336,-9888,-9366,-8783,-8145,-7462,-6743,-6002,-5249,-4495,-3755,
-3036,-2342,-1677,-1044,-442,131,683,1218,1736,2247,2753,3266,3785,4316,4861,5422,5999,6581,7173,7760,
8336,8888,9412,9888,10306,10652,10921,11100,11186,11177,11072,10869,10586,10214,9760,9233,8636,7978,7260,6492,
5681,4833,3961,3066,2164,1254,347,-556,-1455,-2338,-3210,-4063,-4886,-5683,-6438,-7156,-7828,-8447,-9020,-9536,
-9995,-10396,-10731,-11000,-11194,-11307,-11339,-11286,-11138,-10906,-10582,-10180,-9701,-9155,-8550,-7897,-7201,-6474,-5732,-4979,
-4236,-3502,-2794,-2113,-1462,-842,-252,312,855,1381,1899,2407,2917,3432,3957,4496,5051,5618,6199,6787,
7381,7961,8531,9073,9575,10028,10420,10737,10969,11113,11162,11112,10969,10731,10405,9996,9510,8952,8332,7651,
6913,6129,5303,4447,3561,2663,1749,840,-68,-970,-1861,-2737,-3595,-4434,-5246,-6027,-6769,-7471,-8124,-8729,
-9282,-9774,-10208,-10581,-10886,-11124,-11283,-11367,-11365,-11275,-11097,-10825,-10470,-10034,-9525,-8949,-8318,-7642,-6932,-6196,
-5447,-4695,-3951,-3222,-2515,-1843,-1200,-589,-6,550,1089,1614,2127,2636,3150,3670,4202,4749,5310,5884,
6471,7059,7648,8227,8786,9313,9796,10224,10590,10878,11081,11190,11204,11119,10938,10663,10304,9862,9349,8765,
8121,7421,6671,5875,5042,4175,3285,2377,1465,552,-356,-1256,-2141,-3006,-3849,-4676,-5469,-6236,-6964,-7650,
-8288,-8872,-9404,-9875,-10281,-10628,-10902,-11108,-11237,-11291,-11254,-11131,-10922,-10621,-10233,-9768,-9232,-8633,-7986,-7295,
-6577,-5839,-5088,-4344,-3609,-2891,-2204,-1539,-913,-313,256,803,1331,1850,2361,2870,3382,3906,4443,4997,
5563,6147,6734,7327,7913,8482,9028,9535,9998,10400,10736,10987,11151,11227,11202,11079,10858,10549,10150,9674,
9124,8510,7842,7116,6349,5535,4690,3815,2913,2000,1079,163,-747,-1644,-2523,-3382,-4219,-5027,-5814,-6562,
-7273,-7946,-8567,-9131,-9645,-10095,-10479,-10794,-11039,-11214,-11312,-11327,-11261,-11105,-10862,-10528,-10111,-9616,-9051,-8430,
-7761,-7056,-6325,-5576,-4828,-4081,-3355,-2644,-1959,-1310,-688,-97,465,1010,1532,2049,2558,3069,3587,4117,
4660,5222,5795,6381,6972,7561,8142,8702,9236,9724,10162,10534,10837,11056,11186,11221,11161,11004,10751,10405,
9977,9468,8895,8255,7565,6826,6042,5221,4370,3487,2586,1671,753,-166,-1073,-1965,-2836,-3686,-4510,-5305,
-6069,-6803,-7496,-8151,-8751,-9302,-9791,-10216,-10574,-10862,-11076,-11217,-11279,-11262,-11155,-10969,-10691,-10328,-9880,-9360,
-8771,-8130,-7443,-6727,-5989,-5240,-4501,-3760,-3044,-2347,-1681,-1043,-435,142,695,1229,1742,2255,2761,3274,
3793,4329,4878,5442,6022,6611,7205,7796,8370,8922,9438,9907,10321,10661,10932,11114,11207,11205,11105,10909,
10620,10239,9776,9235,8628,7962,7245,6480,5681,4845,3980,3091,2183,1262,342,-576,-1485,-2374,-3240,-4085,
-4898,-5683,-6433,-7148,-7823,-8461,-9044,-9577,-10045,-10449,-10783,-11043,-11228,-11338,-11366,-11316,-11179,-10958,-10649,-10256,
-9781,-9237,-8623,-7958,-7259,-6530,-5785,-5031,-4287,-3554,-2843,-2150,-1490,-862,-261,309,857,1389,1906,2419,
2929,3447,3970,4510,5070,5641,6226,6820,7413,7999,8567,9109,9609,10055,10442,10756,10988,11135,11192,11154,
11023,10794,10475,10067,9575,9006,8379,7691,6956,6179,5368,4525,3658,2768,1862,946,32,-884,-1786,-2668,
-3525,-4357,-5154,-5919,-6652,-7345,-8001,-8612,-9172,-9676,-10121,-10500,-10801,-11034,-11184,-11257,-11249,-11156,-10980,-10722,
-10377,-9951,-9449,-8876,-8243,-7562,-6846,-6110,-5360,-4611,-3874,-3152,-2456,-1784,-1140,-525,58,619,1155,1679,
2189,2698,3205,3719,4246,4792,5353,5930,6516,7110,7700,8280,8839,9366,9844,10269,10623,10904,11098,11205,
11222,11143,10970,10706,10351,9908,9381,8784,8127,7411,6650,5849,5018,4161,3279,2382,1469,550,-368,-1284,
-2185,-3070,-3924,-4750,-5541,-6299,-7019,-7700,-8339,-8934,-9477,-9966,-10389,-10746,-11030,-11237,-11361,-11406,-11366,-11240,
-11035,-10742,-10367,-9913,-9388,-8793,-8143,-7448,-6721,-5979,-5227,-4477,-3744,-3031,-2341,-1678,-1044,-443,133,686,
1217,1739,2252,2760,3273,3794,4327,4879,5447,6026,6618,7214,7802,8377,8927,9440,9901,10303,10632,10883,
11043,11114,11095,10983,10775,10481,10094,9627,9083,8465,7787,7057,6281,5470,4630,3767,2888,1988,1083,174,
-737,-1640,-2531,-3401,-4241,-5051,-5827,-6562,-7260,-7914,-8525,-9094,-9604,-10062,-10452,-10778,-11028,-11200,-11289,-11292,
-11210,-11044,-10795,-10461,-10049,-9563,-9005,-8383,-7711,-7001,-6262,-5511,-4757,-4014,-3283,-2580,-1899,-1251,-633,-43,
522,1066,1595,2109,2619,3128,3644,4167,4710,5266,5837,6423,7017,7611,8195,8762,9300,9795,10237,10611,
10909,11121,11247,11281,11221,11068,10821,10488,10069,9573,8998,8354,7651,6898,6101,5268,4410,3531,2640,1735,
822,-87,-997,-1901,-2787,-3654,-4492,-5299,-6068,-6797,-7485,-8127,-8722,-9271,-9762,-10201,-10575,-10882,-11107,-11254,
-11316,-11293,-11182,-10987,-10707,-10346,-9906,-9394,-8819,-8180,-7498,-6777,-6039,-5286,-4537,-3797,-3079,-2384,-1720,-1086,
-481,97,651,1189,1708,2220,2731,3244,3761,4291,4836,5394,5973,6558,7149,7737,8317,8874,9394,9871,
10286,10633,10900,11078,11165,11156,11055,10864,10581,10214,9766,9240,8642,7979,7258,6484,5674,4829,3960,3076,
2179,1274,365,-536,-1435,-2328,-3203,-4057,-4881,-5674,-6428,-7139,-7805,-8427,-8998,-9517,-9982,-10387,-10731,-11003,
-11195,-11311,-11336,-11280,-11127,-10895,-10576,-10176,-9703,-9163,-8558,-7901,-7201,-6470,-5722,-4973,-4222,-3490,-2778,-2093,
-1440,-817,-225,338,883,1414,1931,2442,2951,3466,3989,4524,5076,5645,6224,6812,7405,7991,8563,9107,
9611,10067,10458,10780,11012,11159,11209,11162,11021,10793,10474,10072,9591,9038,8415,7730,6989,6198,5373,4514,
3632,2735,1831,922,13,-889,-1785,-2672,-3539,-4383,-5198,-5980,-6726,-7425,-8079,-8682,-9235,-9735,-10176,-10558,
-10874,-11120,-11289,-11376,-11375,-11290,-11109,-10845,-10496,-10069,-9570,-9002,-8380,-7710,-7000,-6266,-5516,-4763,-4020,-3295,
-2590,-1916,-1276,-661,-80,478,1019,1544,2061,2572,3087,3605,4136,4680,5239,5812,6396,6986,7573,8154,
8713,9242,9726,10159,10522,10812,11014,11120,11133,11045,10869,10599,10244,9809,9302,8723,8080,7377,6622,5821,
4985,4118,3231,2330,1422,514,-386,-1282,-2169,-3039,-3892,-4718,-5521,-6287,-7010,-7696,-8327,-8910,-9438,-9907,
-10316,-10667,-10949,-11161,-11294,-11345,-11308,-11184,-10967,-10665,-10283,-9818,-9284,-8689,-8042,-7354,-6632,-5889,-5138,-4389,
-3647,-2932,-2238,-1576,-943,-343,225,775,1307,1826,2341,2849,3366,3888,4424,4974,5540,6117,6707,7296,
7885,8457,9004,9518,9983,10391,10728,10984,11155,11228,11203,11081,10864,10559,10171,9702,9162,8556,7891,7167,
6398,5582,4731,3852,2952,2042,1130,217,-689,-1580,-2463,-3326,-4166,-4983,-5773,-6527,-7244,-7915,-8533,-9100,
-9609,-10062,-10447,-10772,-11029,-11212,-11318,-11340,-11278,-11126,-10882,-10550,-10139,-9651,-9092,-8476,-7814,-7111,-6384,-5643,
-4892,-4150,-3418,-2711,-2027,-1377,-756,-165,394,936,1461,1973,2488,3001,3518,4046,4587,5144,5716,6296,
6884,7474,8054,8616,9147,9637,10077,10455,10762,10985,11114,11152,11090,10928,10675,10332,9908,9408,8839,8208,
7519,6779,5993,5170,4312,3426,2521,1611,692,-219,-1121,-2006,-2878,-3729,-4556,-5356,-6126,-6864,-7564,-8209,
-8813,-9356,-9841,-10262,-10619,-10908,-11127,-11274,-11338,-11326,-11220,-11029,-10748,-10381,-9932,-9411,-8821,-8180,-7495,-6778,
-6040,-5290,-4542,-3803,-3077,-2381,-1708,-1066,-455,119,673,1205,1727,2237,2747,3259,3781,4314,4861,5424,
6004,6591,7188,7775,8351,8906,9423,9896,10316,10670,10945,11137,11236,11240,11147,10950,10662,10290,9833,9305,
8710,8053,7345,6588,5788,4953,4088,3195,2286,1371,448,-463,-1365,-2249,-3113,-3957,-4770,-5558,-6313,-7039,
-7717,-8354,-8940,-9465,-9932,-10332,-10662,-10929,-11120,-11234,-11270,-11224,-11092,-10871,-10560,-10168,-9694,-9149,-8538,-7880,
-7183,-6460,-5719,-4971,-4228,-3499,-2785,-2099,-1440,-813,-217,350,894,1420,1934,2441,2949,3461,3988,4524,
5078,5647,6229,6816,7407,7989,8558,9092,9592,10039,10428,10746,10983,11138,11197,11160,11025,10794,10470,10058,
9566,9005,8378,7697,6961,6186,5373,4526,3649,2753,1840,920,-2,-918,-1819,-2697,-3555,-4386,-5186,-5960,
-6701,-7405,-8067,-8685,-9248,-9756,-10196,-10573,-10878,-11111,-11267,-11346,-11345,-11262,-11093,-10835,-10492,-10066,-9560,-8989,
-8354,-7678,-6962,-6226,-5479,-4734,-3994,-3270,-2567,-1892,-1245,-630,-42,517,1053,1575,2086,2592,3103,3620,
4151,4693,5253,5829,6416,7012,7604,8183,8743,9271,9756,10180,10547,10835,11041,11160,11187,11115,10948,10686,
10335,9895,9374,8786,8136,7432,6678,5888,5064,4209,3328,2432,1518,598,-321,-1235,-2129,-3001,-3851,-4670,
-5460,-6215,-6936,-7624,-8268,-8860,-9407,-9892,-10313,-10664,-10941,-11145,-11276,-11317,-11284,-11164,-10962,-10673,-10299,-9845,
-9319,-8722,-8069,-7376,-6651,-5911,-5161,-4417,-3684,-2968,-2274,-1614,-978,-376,204,756,1284,1806,2312,2821,
3335,3854,4390,4939,5505,6086,6675,7271,7859,8435,8982,9490,9949,10349,10682,10932,11101,11178,11163,11050,
10843,10544,10157,9684,9136,8516,7840,7111,6339,5530,4688,3826,2938,2036,1122,202,-716,-1625,-2516,-3385,
-4225,-5032,-5808,-6550,-7256,-7922,-8543,-9118,-9640,-10100,-10497,-10820,-11074,-11247,-11339,-11347,-11276,-11119,-10881,-10554,
-10146,-9665,-9109,-8492,-7820,-7114,-6374,-5625,-4874,-4134,-3402,-2700,-2019,-1368,-744,-148,420,963,1490,2006,
2514,3021,3539,4064,4602,5160,5735,6319,6911,7508,8097,8661,9204,9693,10136,10512,10815,11032,11167,11209,
11155,11008,10769,10439,10026,9527,8950,8310,7609,6861,6072,5247,4400,3526,2636,1734,821,-95,-1007,-1912,
-2796,-3658,-4488,-5286,-6050,-6778,-7464,-8110,-8710,-9261,-9760,-10199,-10569,-10872,-11095,-11239,-11304,-11280,-11176,-10985,
-10711,-10356,-9920,-9414,-8838,-8198,-7515,-6795,-6052,-5300,-4552,-3814,-3094,-2400,-1732,-1091,-477,102,662,1202,
1725,2239,2746,3260,3782,4310,4860,5420,5995,6583,7179,7768,8349,8905,9428,9900,10314,10657,10923,11102,
11195,11193,11100,10912,10635,10271,9824,9293,8691,8027,7306,6538,5727,4889,4027,3147,2249,1345,434,-474,
-1384,-2281,-3159,-4011,-4836,-5620,-6371,-7077,-7749,-8372,-8951,-9477,-9952,-10359,-10704,-10974,-11170,-11288,-11315,-11256,
-11114,-10885,-10574,-10182,-9717,-9179,-8579,-7922,-7222,-6488,-5737,-4984,-4232,-3499,-2789,-2103,-1446,-818,-216,357,
907,1438,1960,2471,2980,3497,4021,4561,5110,5678,6258,6849,7440,8029,8602,9150,9655,10108,10498,10815,
11055,11197,11254,11213,11083,10859,10547,10150,9673,9116,8495,7808,7069,6281,5453,4603,3727,2837,1937,1031,
120,-785,-1692,-2581,-3451,-4296,-5109,-5886,-6627,-7322,-7975,-8582,-9139,-9643,-10091,-10474,-10796,-11043,-11213,-11298,
-11298,-11207,-11037,-10777,-10433,-10015,-9520,-8963,-8340,-7670,-6963,-6227,-5474,-4722,-3978,-3255,-2553,-1881,-1233,-623,
-32,525,1070,1599,2111,2625,3138,3654,4184,4729,5285,5857,6438,7032,7619,8198,8760,9288,9774,10203,
10566,10851,11050,11156,11168,11087,10918,10656,10303,9872,9365,8783,8138,7428,6673,5868,5027,4165,3278,2385,
1481,575,-331,-1231,-2125,-3004,-3863,-4697,-5498,-6262,-6987,-7664,-8299,-8881,-9411,-9890,-10309,-10664,-10953,-11168,
-11304,-11359,-11321,-11197,-10983,-10683,-10307,-9847,-9321,-8736,-8093,-7398,-6679,-5933,-5175,-4421,-3685,-2962,-2270,-1604,
-971,-364,212,766,1303,1826,2338,2854,3368,3892,4428,4978,5543,6120,6707,7297,7890,8460,9017,9528,
10000,10406,10747,11000,11173,11246,11226,11108,10902,10604,10221,9763,9228,8625,7958,7236,6463,5644,4792,3918,
3026,2124,1215,308,-594,-1489,-2377,-3245,-4088,-4913,-5704,-6456,-7171,-7835,-8452,-9018,-9525,-9980,-10373,-10705,
-10964,-11153,-11261,-11284,-11215,-11060,-10821,-10489,-10079,-9595,-9046,-8436,-7778,-7078,-6351,-5605,-4854,-4106,-3373,-2664,
-1984,-1330,-714,-123,440,985,1513,2027,2541,3051,3565,4092,4633,5185,5758,6332,6919,7506,8085,8645,
9182,9676,10121,10497,10803,11025,11156,11189,11127,10971,10721,10379,9959,9468,8902,8267,7581,6838,6048,5215,
4349,3463,2559,1645,733,-176,-1073,-1966,-2844,-3701,-4542,-5351,-6126,-6867,-7564,-8215,-8813,-9356,-9842,-10271,
-10637,-10935,-11163,-11317,-11393,-11381,-11279,-11089,-10811,-10446,-10003,-9485,-8905,-8269,-7589,-6875,-6142,-5390,-4637,-3893,
-3168,-2472,-1802,-1159,-550,30,582,1119,1639,2152,2663,3178,3696,4229,4776,5340,5914,6499,7089,7677,
8252,8806,9328,9804,10227,10584,10864,11060,11157,11162,11067,10878,10595,10224,9774,9252,8665,8013,7305,6548,
5753,4911,4040,3146,2240,1322,411,-493,-1391,-2275,-3143,-3989,-4811,-5602,-6367,-7088,-7772,-8404,-8985,-9508,
-9972,-10374,-10711,-10982,-11176,-11298,-11343,-11301,-11164,-10947,-10640,-10242,-9768,-9226,-8622,-7975,-7280,-6555,-5818,-5069,
-4324,-3589,-2874,-2185,-1527,-902,-307,261,802,1332,1844,2354,2865,3380,3902,4439,4990,5560,6139,6722,
7312,7896,8461,8995,9502,9953,10346,10670,10915,11071,11130,11095,10961,10728,10409,9998,9515,8960,8345,7667,
6939,6161,5351,4495,3613,2713,1802,878,-38,-947,-1839,-2717,-3575,-4410,-5214,-5998,-6738,-7449,-8114,-8728,
-9290,-9794,-10233,-10609,-10916,-11152,-11318,-11401,-11408,-11330,-11162,-10905,-10562,-10134,-9631,-9055,-8431,-7754,-7048,-6310,
-5565,-4811,-4069,-3338,-2635,-1954,-1304,-688,-99,462,1002,1527,2040,2549,3061,3583,4111,4662,5222,5796,
6383,6973,7562,8150,8705,9233,9726,10157,10529,10824,11037,11165,11192,11126,10963,10703,10354,9917,9405,8829,
8186,7490,6749,5963,5141,4285,3400,2502,1587,667,-246,-1152,-2037,-2907,-3754,-4574,-5361,-6124,-6851,-7539,
-8185,-8781,-9323,-9803,-10219,-10566,-10849,-11053,-11185,-11235,-11209,-11098,-10899,-10611,-10239,-9782,-9257,-8660,-8012,-7325,
-6604,-5865,-5121,-4371,-3640,-2918,-2225,-1564,-927,-323,250,805,1336,1851,2360,2866,3378,3901,4432,4984,
5546,6126,6715,7303,7885,8459,9001,9508,9971,10372,10704,10959,11132,11215,11202,11091,10884,10583,10193,9718,
9171,8555,7884,7158,6393,5587,4747,3879,2984,2076,1157,232,-684,-1592,-2480,-3348,-4190,-5001,-5775,-6526,
-7240,-7913,-8541,-9122,-9648,-10109,-10506,-10831,-11084,-11261,-11359,-11375,-11317,-11172,-10939,-10622,-10218,-9735,-9181,-8563,
-7897,-7193,-6459,-5715,-4967,-4221,-3494,-2785,-2100,-1446,-818,-223,345,888,1419,1933,2442,2952,3466,3994,
4531,5088,5665,6250,6837,7428,8017,8581,9114,9608,10052,10434,10737,10962,11101,11152,11108,10964,10731,10401,
9988,9485,8916,8281,7587,6847,6069,5254,4409,3538,2642,1736,821,-96,-1004,-1906,-2782,-3639,-4466,-5259,
-6022,-6748,-7436,-8088,-8691,-9245,-9746,-10179,-10546,-10843,-11062,-11203,-11267,-11247,-11152,-10963,-10695,-10344,-9912,-9400,
-8823,-8184,-7503,-6783,-6041,-5290,-4547,-3805,-3084,-2386,-1717,-1068,-452,134,691,1232,1757,2271,2778,3291,
3811,4342,4886,5451,6027,6616,7206,7797,8373,8929,9444,9920,10339,10680,10951,11136,11234,11242,11151,10971,
10692,10327,9875,9348,8745,8079,7361,6598,5796,4962,4101,3217,2317,1405,488,-429,-1343,-2245,-3119,-3974,
-4795,-5583,-6331,-7048,-7721,-8356,-8942,-9479,-9960,-10378,-10723,-10998,-11190,-11304,-11339,-11291,-11160,-10942,-10640,-10257,
-9794,-9260,-8661,-8005,-7309,-6579,-5834,-5080,-4338,-3602,-2896,-2206,-1551,-921,-317,260,807,1343,1862,2374,
2877,3393,3914,4450,5000,5571,6149,6740,7333,7916,8489,9035,9537,9993,10382,10701,10936,11089,11148,11121,
10994,10782,10472,10079,9604,9046,8422,7738,6996,6217,5404,4558,3687,2803,1906,998,83,-829,-1733,-2627,
-3491,-4336,-5142,-5912,-6648,-7346,-7994,-8602,-9168,-9679,-10131,-10519,-10836,-11086,-11243,-11329,-11325,-11239,-11073,-10818,
-10479,-10067,-9573,-9016,-8397,-7723,-7009,-6281,-5525,-4772,-4029,-3298,-2597,-1919,-1271,-647,-57,511,1056,1589,
2108,2621,3132,3651,4182,4723,5279,5855,6436,7031,7620,8203,8766,9296,9779,10211,10577,10862,11059,11172,
11197,11123,10958,10702,10359,9933,9424,8842,8192,7483,6722,5923,5093,4232,3349,2456,1,-57,-598,-1539,
-2178,-2242,-1834,-1208,-286,1014,2333,3346,4063,4711,5340,5922,6633,7580,8658,9679,10539,11147,11405,11320,
10998,10561,10084,9566,8970,8257,7394,6349,5135,3801,2426,1059,-223,-1397,-2437,-3344,-4153,-4850,-5499,-6122,
-6760,-7453,-8166,-8917,-9681,-10416,-11076,-11584,-11991,-12314,-12584,-12799,-12915,-13028,-13161,-13272,-13263,-13058,-12721,-12183,
-11412,-10430,-9313,-8143,-6924,-5672,-4425,-3214,-2103,-1084,-160,656,1328,1846,2283,2696,3093,3481,3882,4364,
4953,5627,6354,7188,8171,9194,10162,11008,11705,12202,12455,12515,12461,12350,12205,12008,11764,11427,10999,10465,
9759,8936,8042,7086,6058,5025,4044,3100,2262,1411,499,-418,-1374,-2369,-3371,-4305,-5197,-6060,-6830,-7546,
-8104,-8587,-9099,-9514,-9849,-10179,-10460,-10709,-10965,-11101,-11083,-10974,-10738,-10303,-9640,-8773,-7745,-6541,-5202,-3782,
-2347,-964,350,1515,2447,3182,3708,3993,4077,4010,3817,3492,3051,2569,2032,1434,827,230,-287,-698,
-1045,-1314,-1431,-1408,-1266,-971,-521,49,763,1693,2794,3961,5180,6365,7432,8342,9056,9574,9933,10155,
10232,10138,9844,9397,8848,8162,7375,6513,5599,4705,3867,3080,2309,1526,688,-228,-1161,-2087,-2975,-3749,
-4429,-5012,-5521,-6028,-6563,-7141,-7749,-8388,-9038,-9627,-10098,-10439,-10634,-10644,-10495,-10191,-9753,-9221,-8604,-7856,
-6988,-6035,-5040,-4046,-3137,-2365,-1726,-1190,-712,-249,210,635,991,1248,1351,1237,932,504,21,-421,
-724,-814,-668,-257,440,1361,2482,3832,5341,6941,8593,10158,11495,12549,13350,13905,14296,14542,14589,14427,
14058,13449,12663,11683,10514,9298,8059,6870,5815,4884,4027,3178,2355,1561,767,-90,-1001,-1927,-2862,-3777,
-4609,-5355,-6044,-6692,-7284,-7868,-8503,-9217,-10006,-10819,-11628,-12395,-13038,-13520,-13812,-13889,-13767,-13528,-13252,-12963,
-12628,-12167,-11491,-10570,-9366,-7917,-6319,-4676,-3082,-1614,-321,796,1737,2483,3008,3287,3354,3261,3034,2706,
2344,2029,1819,1746,1812,1984,2214,2491,2818,3213,3711,4377,5250,6273,7341,8370,9258,9956,10478,10828,
10999,11048,10996,10829,10526,10088,9522,8784,7902,6923,5900,4872,3898,2987,2110,1279,478,-335,-1158,-1981,
-2803,-3619,-4375,-5047,-5632,-6147,-6621,-7085,-7552,-8055,-8601,-9170,-9705,-10134,-10414,-10525,-10448,-10184,-9748,-9172,
-8490,-7715,-6842,-5863,-4795,-3661,-2486,-1340,-285,635,1386,1962,2374,2616,2688,2605,2398,2061,1613,1058,
421,-242,-873,-1408,-1795,-1986,-1953,-1680,-1179,-435,531,1697,3015,4455,5959,7451,8834,10063,11098,11907,
12493,12894,13121,13155,13026,12738,12254,11602,10801,9854,8790,7719,6679,5678,4727,3802,2889,1977,1046,118,
-818,-1792,-2736,-3605,-4419,-5176,-5870,-6551,-7217,-7840,-8443,-9066,-9717,-10373,-10985,-11522,-11942,-12215,-12342,-12335,
-12222,-12028,-11782,-11482,-11097,-10594,-9928,-9063,-8021,-6844,-5587,-4324,-3109,-1997,-1034,-239,380,837,1130,1277,
1299,1238,1145,1082,1077,1178,1394,1724,2162,2681,3262,3917,4661,5506,6465,7510,8569,9570,10440,11128,
11589,11809,11800,11619,11316,10917,10428,9872,9260,8586,7839,7032,6182,5301,4396,3515,2666,1844,1040,241,
-584,-1431,-2293,-3170,-4069,-4968,-5814,-6594,-7303,-7946,-8528,-9064,-9566,-10047,-10516,-10952,-11314,-11584,-11718,-11677,
-11429,-10995,-10395,-9650,-8771,-7782,-6692,-5524,-4288,-3009,-1724,-504,573,1455,2122,2579,2839,2920,2847,2643,
2332,1929,1447,915,364,-157,-596,-916,-1092,-1104,-957,-649,-184,443,1224,2177,3291,4556,5912,7299,
8642,9871,10907,11720,12304,12684,12884,12918,12778,12477,12029,11442,10709,9863,8943,7982,7015,6062,5138,4242,
3364,2476,1562,619,-348,-1336,-2320,-3269,-4147,-4950,-5680,-6348,-6964,-7566,-8158,-8755,-9348,-9921,-10440,-10893,
-11245,-11465,-11542,-11491,-11326,-11055,-10674,-10183,-9578,-8850,-7970,-6945,-5819,-4636,-3452,-2324,-1296,-406,329,908,
1334,1617,1770,1807,1761,1664,1562,1494,1502,1620,1862,2229,2706,3278,3943,4699,5556,6513,7548,8614,
9649,10582,11348,11899,12202,12275,12165,11920,11574,11143,10642,10077,9435,8695,7852,6924,5939,4923,3904,2909,
1958,1049,175,-691,-1555,-2426,-3309,-4201,-5088,-5950,-6762,-7515,-8206,-8833,-9408,-9950,-10471,-10987,-11478,-11930,
-12322,-12621,-12790,-12785,-12589,-12202,-11627,-10875,-9954,-8890,-7705,-6420,-5074,-3711,-2399,-1198,-159,688,1332,1769,
2020,2109,2057,1886,1600,1209,735,221,-295,-756,-1132,-1381,-1475,-1408,-1182,-798,-268,416,1256,2257,
3399,4645,5944,7223,8403,9428,10247,10849,11242,11450,11493,11388,11147,10784,10291,9666,8918,8075,7173,6242,
5300,4377,3487,2630,1792,956,112,-746,-1619,-2486,-3339,-4162,-4940,-5671,-6340,-6965,-7549,-8114,-8659,-9191,
-9700,-10176,-10595,-10930,-11163,-11261,-11219,-11033,-10707,-10247,-9658,-8951,-8131,-7195,-6153,-5043,-3906,-2789,-1730,-771,
60,745,1282,1687,1973,2143,2219,2212,2146,2055,1989,1987,2083,2309,2665,3158,3775,4513,5351,6278,
7285,8357,9454,10522,11495,12312,12918,13285,13411,13331,13089,12727,12272,11749,11161,10503,9760,8934,8028,7064,
6061,5050,4044,3075,2148,1261,404,-436,-1274,-2123,-2985,-3862,-4736,-5588,-6403,-7170,-7874,-8523,-9119,-9684,
-10218,-10725,-11200,-11639,-12010,-12278,-12416,-12392,-12183,-11779,-11172,-10379,-9417,-8312,-7093,-5791,-4450,-3119,-1855,-708,
277,1070,1668,2064,2281,2335,2249,2038,1717,1322,877,416,-24,-398,-663,-791,-768,-584,-238,256,
900,1684,2594,3618,4732,5894,7058,8150,9115,9896,10468,10827,10982,10961,10784,10476,10056,9529,8892,8155,
7329,6436,5497,4535,3571,2634,1726,845,-18,-869,-1727,-2593,-3472,-4347,-5206,-6027,-6800,-7512,-8160,-8749,
-9297,-9817,-10318,-10808,-11271,-11694,-12048,-12307,-12440,-12430,-12264,-11938,-11443,-10801,-10023,-9124,-8120,-7037,-5901,-4754,
-3627,-2570,-1620,-807,-138,383,768,1024,1171,1222,1201,1131,1043,965,939,1008,1202,1545,2041,2692,
3477,4378,5378,6461,7601,8766,9914,10995,11951,12722,13265,13561,13626,13489,13189,12763,12249,11665,11023,10320,
9553,8721,7824,6873,5888,4893,3907,2953,2038,1154,297,-547,-1380,-2216,-3061,-3898,-4720,-5517,-6276,-6988,
-7640,-8234,-8776,-9275,-9731,-10156,-10541,-10873,-11127,-11283,-11312,-11189,-10888,-10400,-9721,-8867,-7854,-6707,-5464,-4160,
-2838,-1548,-342,741,1659,2392,2935,3287,3471,3498,3392,3172,2866,2501,2102,1706,1354,1076,921,901,
1043,1345,1803,2402,3138,3991,4950,5992,7075,8165,9198,10118,10875,11430,11767,11895,11827,11596,11231,10753,
10176,9513,8764,7941,7052,6109,5136,4148,3166,2207,1269,355,-539,-1425,-2309,-3190,-4066,-4930,-5772,-6577,
-7336,-8041,-8691,-9289,-9841,-10355,-10837,-11284,-11691,-12038,-12300,-12459,-12486,-12358,-12066,-11602,-10978,-10215,-9329,-8346,
-7294,-6204,-5113,-4053,-3066,-2182,-1431,-825,-373,-62,120,191,172,87,-45,-196,-342,-444,-468,-376,
-143,252,810,1528,2388,3364,4432,5567,6736,7901,9021,10043,10909,11576,12013,12225,12220,12025,11680,11218,
10667,10043,9353,8601,7792,6926,6008,5061,4092,3122,2164,1228,319,-555,-1409,-2240,-3059,-3873,-4679,-5478,
-6265,-7025,-7750,-8424,-9043,-9604,-10118,-10579,-10997,-11375,-11705,-11977,-12167,-12249,-12198,-11982,-11580,-10980,-10191,-9227,
-8114,-6883,-5581,-4244,-2921,-1659,-505,506,1341,1990,2452,2731,2857,2841,2717,2508,2240,1943,1648,1382,
1184,1084,1110,1275,1598,2076,2703,3463,4338,5308,6341,7412,8483,9510,10437,11215,11812,12202,12383,12369,
12176,11840,11390,10841,10213,9517,8757,7938,7062,6146,5208,4257,3305,2369,1453,559,-312,-1165,-2003,-2833,
-3652,-4457,-5247,-6007,-6732,-7409,-8032,-8599,-9120,-9587,-10010,-10388,-10710,-10960,-11124,-11171,-11081,-10832,-10415,-9829,
-9084,-8207,-7224,-6168,-5075,-3984,-2922,-1930,-1042,-286,322,776,1078,1236,1276,1215,1083,899,696,498,
338,247,258,398,690,1141,1760,2529,3430,4440,5535,6677,7827,8946,9983,10890,11624,12150,12456,12546,
12431,12142,11709,11163,10532,9829,9072,8269,7422,6538,5618,4673,3715,2754,1796,856,-62,-951,-1818,-2665,
-3497,-4311,-5113,-5900,-6672,-7411,-8121,-8789,-9406,-9972,-10486,-10950,-11363,-11724,-12022,-12249,-12380,-12396,-12266,-11963,
-11471,-10786,-9912,-8870,-7698,-6432,-5120,-3809,-2543,-1366,-313,582,1302,1841,2197,2387,2433,2359,2195,1966,
1704,1440,1200,1015,920,932,1081,1379,1831,2432,3173,4027,4983,5996,7047,8093,9095,10005,10786,11390,
11809,12022,12040,11871,11552,11102,10547,9905,9198,8436,7623,6771,5885,4972,4042,3108,2176,1254,353,-529,
-1389,-2224,-3033,-3829,-4605,-5360,-6098,-6806,-7486,-8118,-8706,-9240,-9719,-10144,-10512,-10813,-11043,-11184,-11219,-11124,
-10879,-10469,-9887,-9145,-8254,-7248,-6164,-5036,-3913,-2830,-1820,-918,-151,469,925,1230,1387,1411,1329,1166,
949,702,461,254,111,60,131,344,718,1257,1959,2814,3796,4874,6025,7197,8352,9442,10419,11243,
11873,12290,12486,12469,12262,11885,11377,10761,10061,9295,8479,7626,6737,5821,4884,3933,2977,2017,1063,128,
-792,-1687,-2558,-3402,-4224,-5018,-5796,-6555,-7292,-7999,-8677,-9315,-9906,-10448,-10936,-11364,-11738,-12042,-12276,-12423,
-12465,-12376,-12133,-11716,-11114,-10321,-9357,-8253,-7042,-5770,-4490,-3238,-2062,-997,-74,687,1274,1690,1941,2045,
2024,1907,1722,1498,1270,1068,914,846,881,1044,1351,1801,2401,3139,3996,4950,5971,7020,8064,9060,
9965,10739,11352,11776,12009,12046,11903,11596,11150,10596,9946,9228,8457,7640,6791,5914,5016,4102,3184,2256,
1340,435,-456,-1323,-2171,-2988,-3781,-4547,-5293,-6011,-6703,-7368,-7994,-8582,-9121,-9603,-10029,-10390,-10685,-10900,
-11033,-11063,-10970,-10740,-10350,-9792,-9072,-8197,-7198,-6107,-4967,-3817,-2705,-1652,-708,113,788,1304,1665,1875,
1948,1911,1780,1586,1361,1128,922,772,705,752,936,1270,1767,2422,3230,4168,5211,6328,7477,8616,
9697,10679,11515,12172,12625,12870,12911,12758,12441,11982,11403,10730,9981,9175,8319,7429,6514,5580,4629,3672,
2710,1750,798,-143,-1066,-1967,-2844,-3689,-4508,-5302,-6070,-6817,-7536,-8227,-8883,-9499,-10069,-10589,-11052,-11457,
-11795,-12061,-12243,-12328,-12294,-12126,-11796,-11288,-10599,-9732,-8712,-7569,-6347,-5093,-3852,-2669,-1585,-624,179,821,
1297,1607,1766,1798,1725,1576,1383,1173,985,843,776,808,966,1256,1694,2274,2992,3831,4764,5762,
6794,7812,8782,9661,10414,11004,11415,11639,11674,11535,11242,10808,10263,9623,8909,8133,7313,6460,5582,4684,
3775,2861,1943,1024,120,-778,-1656,-2516,-3349,-4156,-4934,-5686,-6407,-7101,-7763,-8391,-8982,-9527,-10021,-10460,
-10834,-11139,-11360,-11494,-11521,-11428,-11200,-10817,-10276,-9572,-8715,-7725,-6637,-5486,-4315,-3167,-2086,-1098,-236,480,
1038,1439,1689,1802,1792,1687,1511,1288,1054,832,657,560,565,697,981,1416,2015,2768,3663,4674,
5772,6919,8076,9189,10217,11113,11838,12372,12699,12819,12745,12497,12103,11578,10948,10235,9455,8624,7753,6852,
5933,4996,4055,3112,2171,1234,313,-599,-1495,-2369,-3219,-4043,-4841,-5613,-6360,-7076,-7762,-8419,-9042,-9624,
-10157,-10644,-11071,-11429,-11716,-11919,-12027,-12025,-11887,-11606,-11158,-10535,-9742,-8793,-7716,-6548,-5330,-4112,-2937,-1841,
-864,-25,660,1179,1545,1765,1854,1838,1743,1597,1431,1270,1144,1093,1130,1281,1563,1985,2544,3242,
4054,4963,5935,6943,7950,8902,9769,10510,11100,11511,11736,11781,11659,11378,10968,10438,9817,9116,8352,7537,
6688,5809,4913,4001,3088,2171,1258,350,-540,-1425,-2287,-3127,-3945,-4737,-5498,-6234,-6936,-7605,-8241,-8841,
-9399,-9910,-10370,-10770,-11102,-11353,-11513,-11569,-11503,-11295,-10934,-10415,-9729,-8885,-7905,-6817,-5659,-4470,-3296,-2181,
-1162,-266,479,1062,1481,1744,1861,1852,1737,1549,1306,1045,790,571,420,365,426,630,984,1499,
2177,3001,3955,5012,6132,7281,8414,9480,10434,11239,11860,12282,12496,12513,12346,12021,11556,10978,10306,9559,
8752,7894,7003,6087,5152,4209,3262,2317,1379,452,-463,-1361,-2238,-3097,-3929,-4736,-5515,-6266,-6988,-7678,
-8336,-8957,-9543,-10080,-10568,-11001,-11371,-11667,-11881,-12001,-12009,-11889,-11623,-11199,-10604,-9840,-8926,-7886,-6747,-5557,
-4356,-3187,-2100,-1114,-265,430,966,1343,1577,1680,1672,1584,1445,1282,1127,1003,947,978,1118,1387,
1794,2340,3025,3830,4737,5720,6740,7758,8734,9627,10398,11015,11460,11716,11791,11689,11431,11032,10518,9904,
9210,8454,7644,6794,5916,5015,4098,3175,2255,1335,423,-479,-1364,-2235,-3086,-3913,-4715,-5487,-6235,-6951,
-7633,-8288,-8900,-9476,-10005,-10481,-10900,-11256,-11529,-11717,-11803,-11769,-11602,-11277,-10790,-10136,-9324,-8364,-7290,-6137,
-4944,-3754,-2607,-1545,-602,200,837,1307,1613,1768,1783,1690,1511,1276,1013,750,515,336,248,266,
414,713,1168,1786,2557,3462,4483,5578,6717,7854,8941,9937,10793,11483,11978,12275,12367,12272,12010,11604,
11073,10440,9727,8948,8116,7242,6341,5419,4484,3540,2593,1655,722,-197,-1097,-1978,-2839,-3674,-4485,-5270,
-6030,-6759,-7462,-8128,-8759,-9348,-9895,-10390,-10827,-11206,-11511,-11739,-11870,-11889,-11785,-11531,-11116,-10536,-9787,-8890,
-7861,-6740,-5567,-4379,-3219,-2131,-1146,-290,413,961,1349,1587,1693,1685,1594,1447,1275,1106,967,889,
898,1014,1252,1630,2153,2814,3607,4509,5495,6531,7574,8583,9519,10340,11009,11504,11811,11934,11870,11644,
11272,10775,10177,9490,8737,7931,7081,6202,5300,4384,3458,2526,1600,678,-232,-1127,-2007,-2866,-3701,-4511,
-5295,-6053,-6777,-7477,-8142,-8770,-9358,-9903,-10394,-10831,-11203,-11504,-11720,-11840,-11848,-11723,-11452,-11021,-10418,-9654,
-8741,-7701,-6577,-5399,-4210,-3056,-1969,-995,-150,542,1069,1436,1645,1719,1671,1530,1326,1090,849,632,
468,377,397,536,818,1250,1838,2576,3449,4438,5509,6624,7746,8827,9825,10698,11408,11934,12260,12392,
12336,12110,11735,11237,10629,9939,9180,8367,7518,6634,5734,4817,3891,2962,2039,1124,220,-670,-1543,-2391,
-3215,-4017,-4788,-5535,-6251,-6941,-7597,-8221,-8804,-9346,-9839,-10277,-10657,-10964,-11195,-11336,-11371,-11288,-11070,-10698,
-10163,-9467,-8615,-7632,-6550,-5405,-4238,-3089,-1994,-995,-115,631,1225,1664,1954,2114,2157,2113,2007,1868,
1727,1613,1553,1573,1695,1933,2305,2814,3454,4220,5094,6048,7056,8073,9064,9980,10785,11445,11934,12240,
12359,12303,12080,11716,11223,10627,9941,9188,8380,7526,6640,5731,4809,3873,2931,1990,1053,123,-793,-1693,
-2572,-3427,-4256,-5059,-5832,-6579,-7294,-7979,-8628,-9239,-9812,-10332,-10800,-11204,-11533,-11791,-11950,-12005,-11940,-11733,
-11374,-10845,-10157,-9308,-8323,-7232,-6079,-4898,-3736,-2636,-1628,-748,-9,570,987,1244,1360,1349,1237,1048,
815,568,338,151,38,23,129,368,754,1293,1977,2797,3734,4764,5851,6951,8021,9022,9906,10638,
11188,11551,11717,11699,11509,11173,10704,10125,9458,8720,7923,7084,6218,5329,4426,3517,2599,1682,777,-125,
-1018,-1890,-2740,-3568,-4366,-5139,-5880,-6590,-7275,-7924,-8544,-9122,-9659,-10149,-10582,-10956,-11261,-11491,-11631,-11671,
-11598,-11394,-11042,-10535,-9867,-9047,-8092,-7026,-5892,-4721,-3564,-2454,-1421,-504,281,926,1424,1774,1994,2096,
2105,2046,1948,1840,1754,1719,1755,1895,2146,2525,3041,3690,4460,5346,6313,7338,8379,9398,10347,11191,
11889,12421,12764,12925,12905,12723,12391,11932,11362,10702,9967,9171,8330,7456,6553,5639,4710,3777,2844,1916,
993,80,-821,-1706,-2568,-3405,-4213,-4995,-5744,-6467,-7158,-7818,-8441,-9028,-9566,-10059,-10485,-10848,-11134,-11330,
-11423,-11399,-11244,-10943,-10479,-9848,-9057,-8128,-7078,-5952,-4783,-3622,-2507,-1475,-558,215,840,1303,1607,1765,
1790,1707,1545,1322,1077,835,628,487,432,490,679,1009,1483,2103,2858,3731,4697,5727,6783,7820,
8795,9667,10401,10962,11336,11523,11521,11351,11027,10574,10004,9341,8598,7797,6949,6065,5159,4236,3304,2371,
1441,515,-403,-1310,-2205,-3080,-3933,-4753,-5549,-6313,-7048,-7748,-8414,-9047,-9643,-10199,-10710,-11171,-11570,-11904,
-12155,-12326,-12386,-12338,-12156,-11829,-11346,-10704,-9909,-8976,-7933,-6813,-5653,-4497,-3386,-2352,-1424,-631,23,532,
892,1123,1234,1251,1198,1097,986,890,838,857,972,1205,1569,2063,2699,3461,4339,5310,6343,7404,
8456,9449,10351,11118,11718,12137,12366,12412,12293,12022,11620,11106,10495,9809,9059,8253,7409,6538,5645,4746,
3838,2934,2031,1135,249,-623,-1484,-2325,-3146,-3940,-4707,-5447,-6155,-6828,-7471,-8076,-8643,-9169,-9648,-10072,
-10434,-10724,-10931,-11041,-11034,-10902,-10622,-10191,-9600,-8844,-7945,-6921,-5805,-4640,-3459,-2313,-1238,-270,568,1252,
1783,2157,2381,2472,2452,2341,2166,1956,1742,1550,1415,1357,1405,1574,1882,2330,2925,3648,4494,5434,
6439,7475,8506,9478,10357,11105,11684,12085,12292,12318,12170,11869,11432,10882,10236,9513,8717,7874,6990,6079,
5145,4206,3259,2316,1377,446,-470,-1375,-2266,-3137,-3986,-4806,-5600,-6361,-7089,-7786,-8446,-9067,-9647,-10186,
-10675,-11109,-11477,-11771,-11977,-12084,-12073,-11933,-11648,-11210,-10607,-9853,-8964,-7960,-6870,-5739,-4603,-3505,-2479,-1557,
-766,-115,386,740,961,1058,1057,983,862,717,581,482,447,503,671,966,1401,1971,2679,3509,
4435,5439,6481,7524,8532,9455,10260,10908,11380,11665,11761,11682,11447,11071,10583,9993,9323,8586,7792,6953,
6086,5190,4279,3364,2448,1536,633,-258,-1136,-2000,-2847,-3674,-4477,-5252,-6004,-6723,-7407,-8054,-8667,-9240,
-9766,-10250,-10679,-11051,-11351,-11571,-11697,-11712,-11601,-11347,-10936,-10363,-9633,-8750,-7740,-6636,-5469,-4287,-3122,-2024,
-1023,-145,585,1159,1579,1841,1973,1986,1905,1760,1576,1381,1203,1068,1011,1048,1205,1497,1931,2510,
3223,4061,4997,6003,7048,8095,9098,10016,10809,11444,11901,12162,12237,12136,11878,11479,10964,10351,9656,8893,
8072,7215,6323,5404,4473,3539,2604,1672,751,-157,-1053,-1930,-2791,-3628,-4441,-5229,-5992,-6725,-7422,-8082,
-8707,-9286,-9822,-10308,-10744,-11116,-11417,-11637,-11762,-11775,-11659,-11405,-10990,-10420,-9695,-8825,-7844,-6772,-5648,-4510,
-3403,-2359,-1413,-588,95,631,1018,1266,1393,1410,1352,1240,1100,963,858,810,842,983,1241,1634,
2167,2835,3626,4522,5501,6524,7557,8565,9503,10325,11009,11517,11840,11977,11934,11729,11378,10905,10329,9672,
8944,8157,7325,6460,5570,4656,3736,2809,1888,974,70,-818,-1685,-2536,-3365,-4172,-4958,-5715,-6449,-7147,
-7811,-8440,-9025,-9564,-10060,-10500,-10883,-11200,-11437,-11586,-11631,-11551,-11331,-10957,-10417,-9718,-8863,-7878,-6794,-5642,
-4465,-3302,-2196,-1177,-278,481,1083,1530,1823,1972,2004,1937,1798,1617,1420,1235,1094,1015,1031,1158,
1413,1808,2346,3022,3824,4734,5719,6751,7791,8798,9733,10553,11225,11726,12038,12159,12102,11880,11515,11022,
10430,9755,9010,8209,7361,6481,5574,4647,3707,2769,1828,898,-18,-919,-1803,-2665,-3507,-4323,-5115,-5882,
-6620,-7332,-8003,-8638,-9230,-9774,-10270,-10712,-11098,-11411,-11650,-11798,-11848,-11766,-11556,-11191,-10673,-9994,-9174,-8229,
-7195,-6101,-4986,-3892,-2848,-1893,-1050,-337,226,649,931,1080,1131,1091,996,874,748,644,597,628,
754,998,1372,1883,2530,3298,4174,5131,6144,7169,8170,9112,9946,10641,11169,11516,11677,11656,11470,11137,
10682,10116,9469,8748,7972,7151,6292,5410,4508,3590,2667,1745,825,-82,-979,-1856,-2709,-3544,-4351,-5136,
-5898,-6631,-7336,-8009,-8648,-9242,-9793,-10293,-10743,-11132,-11456,-11707,-11871,-11937,-11889,-11707,-11379,-10884,-10232,-9424,
-8471,-7408,-6272,-5092,-3918,-2783,-1725,-775,43,714,1229,1594,1816,1911,1901,1810,1670,1509,1351,1224,
1164,1181,1306,1549,1928,2445,3098,3879,4767,5735,6761,7797,8812,9762,10608,11315,11859,12221,12394,12390,
12216,11893,11444,10882,10237,9516,8742,7918,7058,6178,5270,4354,3430,2505,1583,670,-229,-1108,-1966,-2800,
-3613,-4394,-5157,-5891,-6597,-7269,-7908,-8507,-9062,-9564,-10014,-10400,-10720,-10967,-11126,-11183,-11126,-10937,-10604,-10113,
-9472,-8684,-7768,-6752,-5679,-4577,-3486,-2445,-1486,-633,95,683,1125,1432,1607,1674,1654,1565,1444,1315,
1208,1148,1164,1273,1496,1844,2326,2942,3678,4529,5469,6463,7479,8478,9421,10268,10977,11528,11900,12087,
12093,11931,11617,11173,10617,9965,9246,8466,7638,6774,5878,4966,4042,3108,2171,1236,310,-606,-1508,-2387,
-3244,-4079,-4883,-5662,-6413,-7139,-7832,-8495,-9117,-9699,-10234,-10717,-11141,-11501,-11790,-11998,-12111,-12117,-12002,-11744,
-11335,-10761,-10031,-9154,-8155,-7062,-5919,-4760,-3630,-2565,-1592,-743,-31,536,954,1226,1371,1408,1356,1245,
1107,963,847,782,797,910,1137,1491,1980,2601,3342,4194,5129,6121,7131,8123,9060,9896,10606,11154,
11533,11728,11752,11606,11313,10890,10357,9730,9029,8267,7465,6620,5751,4863,3963,3054,2141,1234,333,-560,
-1434,-2289,-3121,-3927,-4703,-5457,-6176,-6873,-7537,-8165,-8753,-9303,-9803,-10251,-10637,-10956,-11199,-11356,-11412,-11357,
-11175,-10851,-10373,-9743,-8966,-8057,-7041,-5958,-4842,-3729,-2661,-1670,-783,-18,608,1097,1438,1656,1757,1761,
1695,1585,1462,1354,1284,1281,1371,1567,1892,2344,2932,3649,4478,5402,6394,7418,8438,9411,10299,11064,
11673,12110,12365,12434,12336,12077,11682,11172,10563,9867,9109,8296,7443,6563,5659,4742,3816,2885,1956,1031,
114,-790,-1679,-2546,-3386,-4203,-4991,-5752,-6482,-7183,-7854,-8488,-9081,-9632,-10137,-10581,-10964,-11275,-11509,-11647,
-11684,-11600,-11379,-11010,-10483,-9796,-8963,-7999,-6937,-5815,-4669,-3537,-2465,-1482,-613,118,704,1148,1444,1612,
1665,1626,1523,1378,1227,1096,1008,994,1074,1264,1585,2033,2615,3322,4137,5046,6012,7007,7994,8931,
9779,10505,11077,11479,11702,11750,11628,11359,10955,10436,9822,9131,8370,7560,6714,5836,4941,4032,3117,2201,
1286,377,-521,-1406,-2276,-3122,-3943,-4740,-5503,-6239,-6943,-7616,-8255,-8856,-9415,-9929,-10391,-10794,-11133,-11393,
-11571,-11647,-11612,-11450,-11147,-10694,-10084,-9331,-8442,-7445,-6369,-5253,-4138,-3057,-2049,-1140,-355,292,799,1164,
1397,1512,1530,1473,1366,1235,1113,1023,991,1051,1213,1497,1911,2463,3146,3946,4848,5826,6847,7876,
8873,9795,10605,11273,11768,12080,12214,12169,11962,11616,11146,10574,9911,9179,8386,7553,6681,5787,4875,3955,
3032,2106,1191,280,-617,-1503,-2368,-3211,-4028,-4823,-5586,-6319,-7021,-7691,-8327,-8921,-9473,-9980,-10433,-10826,
-11148,-11398,-11554,-11607,-11542,-11346,-11002,-10501,-9846,-9041,-8103,-7063,-5950,-4807,-3672,-2583,-1579,-686,76,693,
1165,1492,1686,1764,1750,1663,1532,1386,1250,1152,1120,1180,1345,1634,2052,2605,3284,4079,4964,5920,
6909,7902,8849,9722,10476,11088,11527,11786,11871,11781,11538,11158,10659,10065,9383,8631,7830,6983,6105,5204,
4286,3365,2440,1519,606,-302,-1193,-2070,-2926,-3756,-4563,-5347,-6094,-6818,-7502,-8154,-8765,-9337,-9861,-10338,
-10757,-11114,-11396,-11596,-11696,-11686,-11547,-11272,-10841,-10261,-9530,-8664,-7686,-6626,-5516,-4399,-3311,-2288,-1364,-555,
114,639,1026,1277,1405,1433,1383,1280,1148,1015,914,865,893,1024,1271,1653,2164,2813,3583,4462,
5421,6434,7461,8472,9415,10258,10968,11514,11879,12063,12069,11910,11601,11164,10622,9988,9278,8510,7693,6835,
5951,5042,4125,3203,2278,1362,456,-439,-1321,-2184,-3026,-3845,-4639,-5409,-6146,-6855,-7530,-8168,-8767,-9322,
-9832,-10294,-10694,-11031,-11293,-11475,-11553,-11522,-11359,-11057,-10600,-9989,-9227,-8332,-7326,-6244,-5122,-3996,-2903,-1884,
-966,-168,486,997,1369,1602,1722,1740,1690,1588,1465,1351,1269,1243,1299,1460,1738,2144,2680,3341,
4118,4994,5935,6914,7900,8849,9722,10486,11109,11566,11846,11948,11875,11649,11285,10799,10214,9547,8811,8019,
7183,6314,5418,4506,3579,2653,1726,803,-103,-1001,-1879,-2737,-3572,-4384,-5173,-5936,-6665,-7367,-8030,-8659,
-9240,-9780,-10268,-10705,-11075,-11378,-11600,-11732,-11759,-11663,-11434,-11055,-10522,-9838,-9014,-8071,-7038,-5946,-4833,-3740,
-2695,-1740,-893,-177,397,832,1128,1295,1359,1337,1258,1146,1023,928,876,896,1006,1234,1584,2065,
2679,3415,4263,5196,6185,7203,8203,9149,10007,10737,11311,11713,11931,11973,11845,11568,11157,10637,10024,9337,
8584,7782,6942,6074,5179,4268,3352,2432,1515,605,-289,-1170,-2030,-2869,-3687,-4480,-5245,-5987,-6697,-7378,
-8023,-8630,-9193,-9710,-10174,-10582,-10925,-11199,-11394,-11494,-11485,-11353,-11083,-10665,-10089,-9366,-8502,-7529,-6470,-5366,
-4243,-3150,-2116,-1174,-349,347,898,1307,1584,1737,1792,1768,1690,1587,1488,1413,1395,1452,1605,1871,
2257,2779,3419,4177,5034,5963,6934,7916,8868,9753,10533,11179,11662,11977,12107,12069,11870,11531,11066,10497,
9844,9119,8341,7516,6655,5767,4858,3941,3011,2083,1155,241,-661,-1547,-2411,-3256,-4073,-4865,-5631,-6369,
-7081,-7758,-8398,-8999,-9556,-10062,-10514,-10906,-11227,-11476,-11639,-11706,-11658,-11479,-11156,-10687,-10063,-9295,-8404,-7408,
-6350,-5259,-4171,-3128,-2152,-1279,-530,88,564,904,1120,1222,1237,1185,1094,991,901,856,871,978,
1191,1518,1974,2560,3268,4082,4985,5951,6945,7931,8868,9719,10451,11033,11449,11685,11745,11640,11380,10989,
10481,9878,9197,8452,7657,6823,5962,5076,4173,3259,2341,1423,508,-393,-1282,-2151,-2994,-3818,-4614,-5382,
-6126,-6840,-7524,-8178,-8793,-9365,-9895,-10370,-10788,-11146,-11431,-11640,-11756,-11772,-11670,-11434,-11054,-10521,-9833,-9006,
-8053,-7012,-5911,-4790,-3682,-2629,-1657,-790,-52,552,1012,1338,1540,1635,1646,1596,1515,1428,1362,1343,
1398,1538,1789,2160,2656,3274,4009,4842,5758,6721,7699,8659,9561,10366,11040,11568,11923,12105,12114,11963,
11668,11242,10706,10081,9380,8621,7815,6973,6102,5211,4304,3388,2469,1551,639,-264,-1150,-2017,-2861,-3681,
-4470,-5235,-5976,-6687,-7367,-8012,-8622,-9189,-9704,-10169,-10569,-10903,-11166,-11342,-11422,-11393,-11238,-10944,-10501,-9909,
-9169,-8301,-7326,-6280,-5194,-4109,-3061,-2078,-1194,-425,212,713,1076,1307,1427,1450,1401,1306,1194,1087,
1018,1010,1084,1259,1553,1970,2515,3182,3960,4836,5780,6761,7744,8690,9558,10320,10932,11390,11667,11772,
11704,11484,11120,10638,10054,9384,8645,7855,7021,6156,5267,4362,3443,2523,1599,680,-235,-1135,-2018,-2880,
-3717,-4530,-5311,-6064,-6793,-7485,-8151,-8780,-9369,-9917,-10415,-10855,-11234,-11545,-11772,-11916,-11959,-11888,-11691,-11351,
-10860,-10218,-9430,-8516,-7502,-6421,-5309,-4202,-3141,-2153,-1266,-503,128,625,985,1220,1347,1382,1356,1287,
1208,1143,1121,1163,1293,1528,1876,2352,2946,3660,4476,5372,6325,7303,8267,9184,10011,10715,11273,11667,
11888,11938,11826,11571,11181,10682,10080,9405,8664,7872,7043,6182,5305,4408,3506,2599,1693,789,-106,-990,
-1855,-2696,-3518,-4310,-5073,-5811,-6517,-7193,-7834,-8440,-9008,-9529,-9996,-10406,-10751,-11022,-11205,-11295,-11276,-11137,
-10861,-10440,-9868,-9148,-8296,-7331,-6285,-5196,-4097,-3028,-2022,-1109,-304,365,897,1294,1557,1705,1751,1718,
1632,1523,1410,1330,1298,1345,1491,1748,2130,2637,3272,4019,4866,5789,6760,7743,8699,9592,10384,11047,
11546,11876,12028,12010,11834,11516,11066,10512,9868,9144,8365,7538,6672,5785,4880,3962,3036,2112,1188,272,
-637,-1530,-2404,-3255,-4080,-4880,-5647,-6387,-7095,-7771,-8410,-9010,-9571,-10085,-10545,-10943,-11276,-11530,-11694,-11757,
-11711,-11537,-11221,-10759,-10148,-9390,-8502,-7515,-6449,-5350,-4250,-3192,-2203,-1313,-539,99,604,973,1217,1348,
1390,1358,1278,1185,1101,1052,1062,1156,1354,1663,2100,2657,3337,4121,4995,5933,6903,7871,8799,9651,
10391,10987,11422,11688,11777,11708,11482,11125,10651,10074,9418,8689,7906,7079,6222,5341,4442,3537,2628,1720,
817,-79,-966,-1834,-2687,-3515,-4319,-5093,-5837,-6551,-7235,-7879,-8491,-9060,-9588,-10063,-10486,-10841,-11129,-11332,
-11440,-11441,-11326,-11070,-10675,-10129,-9438,-8610,-7670,-6640,-5560,-4464,-3385,-2362,-1426,-600,98,660,1088,1381,
1554,1629,1619,1552,1454,1350,1266,1226,1262,1390,1626,1981,2465,3075,3801,4631,5541,6504,7489,8455,
9368,10186,10883,11423,11796,11991,12016,11874,11590,11175,10652,10035,9335,8573,7763,6910,6026,5123,4206,3284,
2360,1437,522,-382,-1275,-2151,-3007,-3841,-4644,-5426,-6174,-6891,-7574,-8220,-8829,-9397,-9918,-10390,-10803,-11151,
-11427,-11615,-11707,-11688,-11547,-11268,-10842,-10266,-9547,-8696,-7737,-6700,-5616,-4525,-3458,-2456,-1545,-747,-78,455,
854,1125,1283,1347,1336,1277,1195,1115,1061,1062,1139,1317,1602,2006,2538,3187,3948,4797,5713,6671,
7633,8566,9427,10186,10809,11275,11572,11695,11655,11455,11127,10674,10122,9481,8770,8001,7189,6335,5458,4563,
3658,2747,1835,929,36,-853,-1722,-2573,-3404,-4210,-4993,-5745,-6467,-7156,-7811,-8427,-9002,-9536,-10019,-10449,
-10818,-11118,-11340,-11470,-11494,-11401,-11178,-10812,-10295,-9632,-8837,-7920,-6912,-5843,-4747,-3666,-2630,-1672,-820,-89,
507,968,1294,1499,1598,1611,1564,1478,1383,1302,1261,1284,1393,1608,1940,2393,2975,3677,4484,5373,
6325,7300,8270,9195,10038,10764,11343,11760,11998,12067,11965,11717,11334,10840,10247,9573,8834,8041,7206,6336,
5441,4531,3611,2689,1766,853,-50,-942,-1816,-2672,-3503,-4310,-5094,-5847,-6571,-7260,-7917,-8530,-9104,-9635,
-10110,-10537,-10897,-11185,-11398,-11514,-11528,-11419,-11177,-10792,-10260,-9581,-8772,-7850,-6840,-5780,-4701,-3637,-2626,-1696,
-874,-174,394,828,1133,1322,1414,1429,1388,1321,1252,1207,1209,1281,1445,1715,2101,2612,3238,3976,
4808,5708,6652,7606,8536,9399,10168,10808,11295,11612,11756,11736,11559,11241,10804,10262,9633,8933,8173,7365,
6524,5650,4757,3848,2935,2019,1106,203,-687,-1560,-2419,-3254,-4064,-4852,-5614,-6342,-7044,-7712,-8340,-8928,
-9470,-9966,-10409,-10793,-11108,-11348,-11504,-11559,-11506,-11322,-10999,-10529,-9909,-9151,-8272,-7290,-6238,-5154,-4072,-3020,
-2039,-1153,-381,262,767,1139,1386,1520,1570,1547,1486,1406,1333,1297,1317,1415,1614,1925,2357,2907,
3581,4359,5226,6157,7123,8087,9015,9866,10612,11218,11665,11941,12043,11977,11766,11411,10941,10372,9719,8998,
8220,7401,6549,5667,4767,3854,2933,2014,1097,193,-699,-1573,-2426,-3260,-4066,-4850,-5606,-6335,-7033,-7695,
-8321,-8906,-9442,-9928,-10360,-10734,-11033,-11259,-11398,-11431,-11353,-11145,-10795,-10301,-9657,-8878,-7983,-6996,-5948,-4878,
-3820,-2803,-1859,-1014,-290,307,771,1108,1323,1436,1467,1441,1381,1314,1264,1259,1317,1464,1710,2071,
2550,3147,3860,4666,5547,6479,7426,8355,9231,10014,10680,11192,11545,11723,11735,11590,11300,10881,10356,9741,
9049,8295,7495,6655,5787,4895,3986,3069,2148,1229,315,-588,-1473,-2342,-3188,-4005,-4802,-5570,-6312,-7024,
-7706,-8351,-8955,-9519,-10032,-10491,-10893,-11227,-11487,-11666,-11752,-11727,-11583,-11300,-10877,-10302,-9585,-8737,-7784,-6755,
-5680,-4599,-3543,-2552,-1640,-840,-166,379,789,1070,1241,1314,1317,1270,1197,1129,1091,1106,1196,1375,
1667,2074,2604,3250,4006,4853,5770,6723,7685,8619,9483,10249,10884,11365,11682,11820,11797,11619,11298,10858,
10312,9680,8976,8215,7408,6566,5700,4808,3910,3000,2085,1176,268,-622,-1499,-2356,-3190,-3993,-4774,-5529,
-6256,-6952,-7618,-8247,-8835,-9381,-9879,-10314,-10696,-11008,-11242,-11391,-11444,-11383,-11199,-10876,-10410,-9797,-9040,-8167,
-7194,-6152,-5083,-4010,-2981,-2018,-1143,-384,247,748,1119,1371,1514,1570,1559,1512,1445,1397,1386,1434,
1566,1792,2131,2590,3165,3850,4638,5504,6427,7371,8307,9196,10005,10696,11247,11638,11858,11913,11807,11551,
11167,10666,10072,9394,8654,7862,7027,6165,5282,4375,3465,2543,1626,708,-199,-1095,-1970,-2826,-3654,-4459,
-5237,-5985,-6706,-7397,-8049,-8667,-9242,-9771,-10251,-10667,-11024,-11308,-11507,-11614,-11619,-11503,-11257,-10871,-10335,-9658,
-8847,-7922,-6912,-5852,-4779,-3720,-2720,-1796,-978,-279,288,729,1038,1231,1326,1344,1304,1238,1164,1119,
1117,1186,1349,1609,1989,2486,3103,3830,4654,5549,6489,7444,8379,9253,10035,10690,11200,11543,11720,11727,
11579,11289,10870,10345,9731,9038,8284,7484,6645,5780,4895,3993,3087,2174,1264,357,-538,-1423,-2287,-3128,
-3943,-4729,-5493,-6223,-6925,-7595,-8230,-8830,-9384,-9892,-10347,-10743,-11070,-11323,-11489,-11564,-11531,-11375,-11089,-10659,
-10086,-9373,-8530,-7588,-6567,-5505,-4435,-3396,-2418,-1526,-739,-75,462,871,1159,1339,1428,1446,1418,1371,
1328,1319,1362,1487,1700,2026,2465,3018,3684,4455,5305,6217,7156,8091,8990,9812,10525,11100,11521,11772,
11860,11783,11560,11204,10732,10158,9507,8780,8002,7177,6322,5439,4542,3633,2721,1804,892,-15,-908,-1789,
-2649,-3485,-4297,-5080,-5831,-6557,-7248,-7907,-8529,-9115,-9653,-10145,-10578,-10949,-11248,-11468,-11597,-11624,-11537,-11320,
-10967,-10468,-9826,-9048,-8151,-7163,-6113,-5040,-3976,-2958,-2014,-1167,-439,165,633,979,1204,1328,1368,1347,
1290,1224,1171,1159,1212,1350,1588,1937,2407,2997,3695,4488,5366,6289,7238,8172,9055,9857,10539,11082,
11463,11672,11722,11607,11351,10967,10471,9879,9209,8472,7683,6850,5990,5108,4214,3307,2401,1492,588,-310,
-1193,-2059,-2907,-3730,-4525,-5295,-6033,-6739,-7418,-8054,-8656,-9220,-9732,-10197,-10604,-10946,-11216,-11402,-11492,-11479,
-11344,-11082,-10680,-10136,-9451,-8636,-7716,-6716,-5665,-4600,-3555,-2565,-1656,-852,-165,398,832,1147,1348,1461,
1497,1484,1446,1406,1392,1430,1534,1730,2033,2451,2982,3629,4376,5213,6111,7046,7985,8894,9731,10475,
11079,11535,11825,11950,11909,11717,11391,10948,10402,9769,9063,8297,7485,6633,5757,4861,3955,3039,2126,1215,
309,-587,-1469,-2332,-3174,-3995,-4786,-5550,-6279,-6983,-7650,-8281,-8872,-9420,-9920,-10365,-10756,-11076,-11320,-11476,
-11531,-11478,-11297,-10982,-10527,-9927,-9193,-8335,-7380,-6358,-5300,-4241,-3216,-2256,-1387,-629,4,513,891,1153,
1307,1377,1383,1346,1295,1250,1236,1284,1410,1628,1955,2398,2959,3630,4396,5244,6149,7080,8005,8886,
9692,10386,10944,11350,11583,11656,11566,11332,10967,10495,9920,9265,8545,7766,6946,6091,5210,4312,3405,2494,
1586,677,-218,-1104,-1974,-2825,-3654,-4457,-5234,-5982,-6698,-7384,-8030,-8641,-9207,-9734,-10207,-10625,-10978,-11266,
-11472,-11585,-11598,-11494,-11257,-10887,-10370,-9714,-8933,-8035,-7052,-6016,-4955,-3905,-2903,-1972,-1141,-424,167,633,
974,1206,1337,1398,1398,1372,1340,1324,1347,1445,1618,1896,2285,2790,3413,4135,4948,5834,6762,7702,
8617,9476,10245,10889,11386,11724,11890,11898,11748,11458,11050,10535,9928,9252,8511,7716,6887,6022,5136,4237,
3328,2419,1512,609,-280,-1159,-2020,-2858,-3675,-4469,-5235,-5972,-6678,-7352,-7985,-8581,-9132,-9639,-10088,-10485,
-10814,-11073,-11245,-11322,-11289,-11140,-10851,-10421,-9848,-9141,-8312,-7381,-6371,-5324,-4265,-3234,-2262,-1373,-593,70,
603,1011,1294,1474,1562,1585,1558,1510,1470,1452,1487,1596,1793,2095,2509,3040,3681,4423,5249,6142,
7058,7982,8868,9687,10405,10995,11429,11701,11805,11749,11546,11204,10750,10196,9557,8848,8083,7269,6422,5542,
4648,3737,2818,1901,989,85,-807,-1683,-2540,-3374,-4189,-4976,-5735,-6464,-7166,-7831,-8455,-9039,-9577,-10065,
-10499,-10873,-11179,-11409,-11550,-11591,-11521,-11326,-10989,-10516,-9898,-9151,-8287,-7334,-6314,-5271,-4227,-3222,-2283,-1433,
-699,-81,410,775,1026,1178,1246,1260,1237,1199,1178,1193,1270,1424,1673,2033,2503,3087,3779,4566,
5423,6332,7263,8177,9040,9823,10492,11023,11395,11600,11643,11530,11272,10885,10393,9807,9146,8421,7639,6821,
5968,5089,4191,3290,2377,1468,565,-329,-1209,-2073,-2912,-3730,-4525,-5295,-6034,-6746,-7424,-8068,-8673,-9229,
-9744,-10204,-10603,-10942,-11207,-11394,-11486,-11474,-11342,-11080,-10675,-10128,-9440,-8626,-7705,-6705,-5659,-4597,-3555,-2566,
-1653,-845,-152,414,852,1164,1369,1477,1513,1495,1452,1404,1383,1406,1496,1674,1951,2339,2839,3457,
4176,4985,5861,6778,7704,8609,9451,10204,10835,11319,11643,11802,11797,11638,11338,10917,10390,9776,9086,8340,
7542,6706,5841,4952,4048,3135,2218,1303,395,-498,-1379,-2244,-3084,-3896,-4686,-5448,-6186,-6890,-7559,-8196,
-8790,-9338,-9836,-10281,-10665,-10982,-11223,-11377,-11437,-11385,-11211,-10902,-10451,-9860,-9132,-8289,-7349,-6342,-5303,-4263,
-3255,-2309,-1449,-696,-65,444,829,1092,1258,1334,1349,1319,1276,1240,1243,1294,1425,1649,1975,2416,
2970,3635,4397,5239,6137,7061,7978,8859,9663,10360,10927,11340,11586,11674,11597,11374,11017,10550,9981,9332,
8613,7846,7034,6186,5310,4421,3519,2607,1694,785,-116,-1005,-1875,-2726,-3550,-4348,-5123,-5867,-6586,-7273,
-7925,-8538,-9110,-9633,-10108,-10525,-10876,-11158,-11357,-11470,-11483,-11379,-11149,-10781,-10270,-9617,-8838,-7942,-6964,-5931,
-4876,-3836,-2834,-1907,-1074,-357,243,713,1064,1300,1437,1494,1495,1465,1428,1405,1428,1510,1676,1939,
2309,2789,3383,4081,4872,5735,6640,7564,8469,9323,10092,10743,11259,11614,11806,11838,11712,11446,11051,10547,
9950,9277,8538,7755,6930,6070,5190,4290,3385,2473,1555,649,-252,-1138,-2007,-2854,-3675,-4469,-5235,-5976,
-6684,-7361,-8005,-8610,-9176,-9687,-10147,-10546,-10880,-11140,-11313,-11396,-11371,-11226,-10953,-10539,-9982,-9290,-8477,-7561,
-6571,-5543,-4501,-3487,-2527,-1650,-874,-213,325,739,1033,1222,1324,1350,1334,1293,1256,1248,1294,1405,
1608,1914,2331,2857,3493,4229,5050,5930,6847,7762,8647,9464,10179,10769,11213,11493,11609,11569,11377,11050,
10602,10054,9420,8715,7949,7142,6300,5429,4540,3637,2728,1814,901,-1,-897,-1775,-2633,-3468,-4281,-5061,
-5816,-6537,-7229,-7891,-8511,-9097,-9637,-10123,-10556,-10928,-11227,-11452,-11585,-11623,-11548,-11349,-11016,-10545,-9934,-9190,
-8328,-7376,-6359,-5311,-4269,-3262,-2320,-1465,-719,-93,411,796,1064,1233,1323,1344,1332,1305,1291,1313,
1391,1551,1799,2156,2623,3203,3884,4661,5511,6409,7328,8241,9103,9887,10558,11094,11479,11700,11760,11664,
11426,11060,10580,10006,9351,8629,7854,7039,6189,5319,4429,3529,2624,1717,814,-81,-965,-1837,-2684,-3509,
-4306,-5077,-5816,-6526,-7204,-7848,-8456,-9024,-9544,-10012,-10424,-10772,-11049,-11241,-11344,-11349,-11235,-10997,-10625,-10115,
-9470,-8695,-7818,-6856,-5840,-4807,-3787,-2815,-1914,-1108,-409,170,624,968,1202,1344,1413,1430,1417,1403,
1407,1457,1573,1772,2068,2471,2985,3605,4321,5126,5990,6889,7799,8676,9496,10218,10818,11272,11573,11705,
11683,11512,11206,10781,10251,9633,8941,8190,7389,6552,5685,4800,3897,2990,2079,1170,265,-628,-1514,-2380,
-3223,-4046,-4837,-5602,-6338,-7038,-7705,-8338,-8933,-9486,-9991,-10440,-10833,-11157,-11406,-11569,-11638,-11598,-11439,-11147,
-10721,-10156,-9457,-8636,-7715,-6727,-5693,-4650,-3639,-2678,-1801,-1025,-363,174,595,900,1103,1220,1274,1281,
1267,1258,1280,1352,1496,1731,2064,2507,3057,3717,4465,5292,6175,7081,7986,8850,9640,10330,10887,11296,
11546,11633,11567,11357,11017,10567,10016,9382,8677,7918,7113,6270,5404,4520,3623,2720,1820,920,26,-854,
-1722,-2572,-3401,-4203,-4977,-5722,-6440,-7119,-7768,-8378,-8949,-9473,-9948,-10368,-10731,-11018,-11230,-11352,-11374,-11286,
-11069,-10724,-10244,-9624,-8878,-8019,-7074,-6073,-5043,-4017,-3031,-2110,-1278,-550,58,546,915,1180,1348,1441,
1478,1480,1474,1482,1527,1632,1819,2093,2480,2971,3572,4269,5058,5910,6806,7708,8600,9430,10179,10807,
11296,11629,11802,11812,11676,11399,11005,10500,9904,9234,8501,7714,6886,6028,5144,4245,3339,2429,1518,613,
-282,-1165,-2033,-2881,-3708,-4508,-5281,-6026,-6736,-7413,-8055,-8657,-9220,-9733,-10197,-10602,-10947,-11215,-11408,-11501,
-11495,-11374,-11123,-10738,-10215,-9558,-8779,-7897,-6934,-5920,-4891,-3874,-2908,-2014,-1212,-523,52,505,841,1076,
1222,1300,1328,1334,1337,1362,1430,1567,1787,2102,2523,3053,3685,4411,5217,6081,6974,7865,8726,9522,
10219,10792,11221,11489,11602,11556,11367,11045,10612,10075,9455,8766,8019,7223,6391,5530,4645,3748,2840,1936,
1035,139,-747,-1616,-2471,-3302,-4113,-4896,-5653,-6377,-7072,-7731,-8349,-8928,-9464,-9951,-10384,-10756,-11065,-11294,
-11439,-11488,-11427,-11247,-10928,-10480,-9893,-9176,-8343,-7418,-6425,-5400,-4371,-3371,-2428,-1569,-813,-170,353,754,
1047,1244,1357,1413,1428,1430,1439,1477,1572,1739,1995,2352,2816,3388,4060,4822,5658,6540,7442,8330,
9177,9945,10605,11130,11506,11721,11776,11678,11439,11073,10599,10032,9384,8670,7902,7091,6243,5371,4479,3574,
2665,1757,853,-42,-926,-1793,-2642,-3469,-4271,-5049,-5793,-6515,-7197,-7846,-8456,-9023,-9544,-10014,-10428,-10777,
-11062,-11263,-11375,-11387,-11286,-11055,-10691,-10191,-9555,-8793,-7925,-6974,-5970,-4943,-3923,-2947,-2040,-1219,-508,85,
558,913,1162,1320,1403,1437,1440,1436,1450,1503,1618,1814,2100,2490,2987,3591,4293,5077,5926,6811,
7705,8579,9392,10121,10732,11201,11516,11672,11671,11519,11230,10824,10316,9715,9040,8306,7523,6696,5845,4967,
4073,3163,2254,1347,447,-444,-1319,-2180,-3016,-3831,-4622,-5384,-6118,-6824,-7495,-8126,-8717,-9265,-9765,-10207,
-10594,-10915,-11162,-11327,-11397,-11361,-11209,-10924,-10502,-9944,-9256,-8450,-7547,-6570,-5557,-4535,-3537,-2585,-1716,-942,
-279,264,687,998,1210,1336,1398,1416,1414,1419,1448,1528,1676,1906,2236,2669,3212,3857,4596,5407,
6276,7169,8060,8910,9698,10384,10942,11351,11608,11704,11642,11435,11103,10651,10105,9471,8772,8018,7215,6377,
5511,4626,3725,2814,1903,994,95,-798,-1667,-2518,-3352,-4158,-4940,-5692,-6418,-7112,-7771,-8390,-8971,-9506,
-9988,-10412,-10775,-11070,-11289,-11418,-11450,-11372,-11170,-10836,-10361,-9752,-9016,-8168,-7232,-6236,-5217,-4199,-3215,-2294,
-1459,-726,-111,384,762,1030,1202,1298,1333,1340,1332,1335,1375,1468,1643,1905,2263,2732,3306,3978,
4738,5565,6440,7333,8207,9037,9789,10428,10937,11296,11496,11540,11428,11181,10805,10320,9746,9088,8371,7599,
6790,5942,5075,4184,3284,2377,1467,564,-331,-1213,-2076,-2918,-3737,-4533,-5299,-6037,-6745,-7424,-8065,-8666,
-9222,-9734,-10191,-10588,-10917,-11178,-11355,-11439,-11423,-11287,-11027,-10633,-10096,-9432,-8644,-7753,-6790,-5780,-4758,-3754,
-2796,-1912,-1122,-438,128,574,907,1133,1272,1342,1363,1361,1359,1379,1443,1572,1783,2089,2498,3012,
3634,4350,5145,6001,6892,7789,8657,9462,10179,10771,11226,11527,11668,11655,11492,11193,10775,10254,9646,8962,
8223,7434,6609,5752,4876,3982,3079,2172,1263,363,-529,-1407,-2263,-3098,-3909,-4692,-5449,-6176,-6872,-7537,
-8165,-8753,-9293,-9787,-10226,-10600,-10906,-11139,-11285,-11334,-11278,-11103,-10798,-10358,-9780,-9074,-8256,-7341,-6363,-5351,
-4338,-3352,-2421,-1572,-819,-177,345,755,1051,1248,1362,1418,1433,1431,1436,1475,1562,1721,1968,2313,
2758,3312,3966,4708,5521,6383,7270,8144,8979,9743,10402,10934,11319,11549,11621,11542,11318,10967,10504,9946,
9302,8594,7830,7022,6183,5316,4429,3533,2627,1716,809,-90,-979,-1853,-2702,-3533,-4333,-5110,-5857,-6574,
-7254,-7912,-8521,-9092,-9618,-10090,-10507,-10859,-11137,-11335,-11447,-11459,-11357,-11135,-10782,-10292,-9667,-8920,-8066,-7129,
-6141,-5127,-4126,-3163,-2263,-1456,-747,-152,327,692,954,1121,1217,1263,1273,1280,1301,1361,1482,1681,
1971,2361,2856,3454,4148,4922,5762,6640,7526,8393,9202,9928,10540,11015,11339,11507,11521,11390,11117,10723,
10226,9637,8974,8244,7467,6648,5803,4927,4042,3145,2243,1342,439,-451,-1329,-2191,-3030,-3843,-4632,-5394,
-6123,-6822,-7487,-8121,-8712,-9261,-9763,-10211,-10601,-10924,-11170,-11333,-11406,-11371,-11221,-10949,-10541,-9999,-9326,-8535,
-7649,-6685,-5684,-4666,-3673,-2724,-1851,-1075,-401,158,600,934,1162,1311,1392,1430,1439,1458,1496,1583,
1734,1968,2296,2729,3259,3897,4621,5417,6268,7147,8022,8867,9639,10321,10876,11290,11549,11653,11605,11413,
11095,10660,10127,9505,8814,8063,7265,6435,5571,4692,3798,2898,1994,1090,190,-699,-1571,-2431,-3262,-4072,
-4851,-5607,-6329,-7017,-7673,-8293,-8869,-9405,-9888,-10320,-10683,-10982,-11203,-11336,-11369,-11295,-11105,-10781,-10328,-9741,
-9027,-8205,-7296,-6322,-5317,-4316,-3344,-2432,-1603,-869,-247,261,657,949,1145,1264,1329,1357,1372,1397,
1452,1567,1753,2026,2396,2871,3448,4119,4876,5700,6562,7444,8304,9123,9860,10490,10984,11338,11529,11569,
11459,11216,10846,10369,9800,9151,8435,7665,6857,6009,5141,4253,3358,2455,1554,653,-240,-1121,-1986,-2833,
-3657,-4453,-5225,-5965,-6673,-7349,-7988,-8592,-9148,-9663,-10124,-10533,-10872,-11141,-11331,-11430,-11424,-11308,-11069,-10700,
-10198,-9565,-8813,-7959,-7025,-6034,-5029,-4032,-3074,-2184,-1379,-681,-93,384,750,1014,1191,1299,1358,1387,
1413,1460,1543,1689,1912,2222,2634,3152,3762,4469,5250,6089,6954,7828,8671,9455,10148,10724,11164,11452,
11580,11560,11397,11104,10692,10179,9580,8910,8175,7390,6565,5713,4836,3948,3051,2147,1248,351,-535,-1405,
-2266,-3104,-3916,-4702,-5462,-6189,-6887,-7548,-8171,-8756,-9295,-9786,-10227,-10607,-10921,-11161,-11312,-11375,-11326,-11162,
-10872,-10449,-9897,-9215,-8419,-7532,-6577,-5579,-4577,-3595,-2668,-1810,-1048,-398,143,572,893,1120,1266,1346,
1395,1419,1450,1510,1613,1792,2047,2398,2850,3406,4057,4796,5602,6455,7329,8195,9021,9775,10427,10950,
11331,11555,11627,11545,11329,10988,10535,9987,9357,8659,7903,7102,6265,5405,4520,3623,2721,1817,918,26,
-857,-1726,-2576,-3406,-4206,-4985,-5735,-6453,-7136,-7783,-8393,-8963,-9483,-9956,-10374,-10729,-11019,-11227,-11348,-11373,
-11284,-11077,-10739,-10269,-9670,-8944,-8115,-7202,-6229,-5228,-4228,-3259,-2353,-1527,-801,-184,320,711,1005,1202,
1331,1406,1449,1480,1526,1606,1741,1947,2238,2630,3123,3710,4393,5158,5980,6839,7706,8551,9348,10061,
10661,11129,11444,11610,11619,11484,11219,10829,10339,9759,9104,8384,7612,6799,5951,5082,4194,3295,2392,1488,
588,-302,-1179,-2039,-2881,-3699,-4492,-5259,-5997,-6706,-7376,-8011,-8611,-9160,-9662,-10113,-10507,-10837,-11094,-11269,
-11351,-11334,-11196,-10938,-10544,-10022,-9369,-8600,-7735,-6799,-5811,-4814,-3829,-2887,-2019,-1239,-563,3,455,797,
1044,1204,1302,1352,1386,1412,1464,1559,1717,1951,2277,2703,3231,3855,4570,5358,6195,7062,7928,8760,
9526,10202,10755,11170,11433,11539,11493,11305,10990,10560,10029,9421,8734,7994,7204,6377,5522,4642,3746,2843,
1935,1031,133,-752,-1627,-2477,-3311,-4120,-4902,-5660,-6383,-7079,-7741,-8361,-8940,-9476,-9956,-10384,-10753,-11054,
-11281,-11424,-11469,-11408,-11228,-10921,-10481,-9908,-9213,-8404,-7508,-6552,-5555,-4557,-3583,-2665,-1821,-1070,-427,106,
528,843,1065,1214,1301,1357,1396,1442,1522,1648,1846,2123,2493,2967,3536,4201,4946,5757,6610,7477,
8331,9139,9874,10502,11002,11358,11560,11610,11511,11274,10915,10453,9892,9254,8552,7798,6999,6165,5302,4423,
3529,2628,1725,830,-62,-939,-1801,-2642,-3462,-4257,-5023,-5766,-6473,-7157,-7797,-8398,-8957,-9468,-9928,-10331,
-10669,-10938,-11129,-11230,-11229,-11119,-10887,-10523,-10030,-9406,-8662,-7815,-6890,-5916,-4918,-3928,-2978,-2089,-1287,-582,
13,496,867,1141,1326,1439,1505,1543,1576,1626,1714,1860,2079,2389,2790,3294,3897,4587,5355,6177,
7038,7897,8734,9513,10205,10783,11230,11528,11669,11660,11506,11221,10815,10309,9713,9045,8317,7539,6723,5873,
4999,4109,3204,2299,1392,492,-403,-1283,-2143,-2980,-3797,-4586,-5347,-6083,-6788,-7459,-8089,-8680,-9233,-9729,
-10171,-10555,-10873,-11119,-11279,-11347,-11315,-11167,-10887,-10484,-9945,-9283,-8504,-7632,-6693,-5712,-4724,-3752,-2826,-1973,
-1208,-547,7,447,785,1023,1186,1281,1338,1376,1417,1484,1598,1776,2032,2376,2821,3364,4000,4723,
5512,6350,7207,8059,8869,9614,10260,10786,11170,11405,11486,11421,11214,10879,10437,9897,9272,8583,7835,7047,
6217,5361,4484,3594,2693,1793,891,-2,-887,-1759,-2607,-3429,-4232,-5007,-5749,-6467,-7152,-7804,-8419,-8989,
-9515,-9988,-10402,-10758,-11043,-11249,-11372,-11394,-11312,-11111,-10781,-10318,-9728,-9017,-8199,-7292,-6330,-5343,-4353,-3397,
-2497,-1676,-949,-328,183,583,885,1097,1233,1315,1363,1401,1454,1538,1677,1886,2177,2562,3048,3628,
4302,5051,5862,6711,7571,8409,9199,9908,10511,10985,11314,11493,11519,11399,11147,10773,10293,9722,9070,8359,
7593,6789,5951,5085,4206,3311,2410,1510,609,-281,-1165,-2027,-2868,-3684,-4479,-5240,-5976,-6680,-7355,-7991,
-8592,-9147,-9654,-10107,-10504,-10833,-11090,-11268,-11357,-11342,-11216,-10970,-10598,-10094,-9461,-8713,-7864,-6939,-5971,-4983,
-4005,-3072,-2199,-1417,-728,-148,324,691,959,1145,1265,1338,1384,1432,1499,1605,1773,2015,2347,2772,
3291,3909,4613,5385,6210,7062,7910,8730,9484,10151,10700,11111,11378,11495,11459,11286,10985,10568,10053,9449,
8775,8041,7260,6442,5593,4724,3840,2947,2045,1150,253,-631,-1508,-2357,-3194,-3998,-4779,-5530,-6251,-6942,
-7599,-8222,-8804,-9336,-9825,-10255,-10625,-10923,-11152,-11290,-11336,-11276,-11103,-10806,-10377,-9818,-9137,-8346,-7468,-6522,
-5539,-4555,-3593,-2679,-1843,-1097,-452,87,514,841,1077,1232,1330,1390,1436,1485,1566,1689,1885,2159,
2522,2983,3542,4192,4921,5713,6551,7404,8246,9042,9768,10391,10891,11250,11463,11520,11437,11213,10865,10413,
9863,9231,8535,7781,6984,6153,5292,4417,3525,2631,1729,833,-61,-946,-1814,-2661,-3490,-4285,-5057,-5801,
-6511,-7189,-7834,-8440,-9004,-9523,-9990,-10401,-10747,-11020,-11218,-11325,-11332,-11230,-11015,-10667,-10193,-9591,-8871,-8045,
-7146,-6184,-5203,-4226,-3282,-2399,-1595,-883,-283,217,606,899,1106,1243,1330,1385,1433,1498,1595,1749,
1976,2286,2691,3190,3783,4466,5221,6030,6873,7722,8545,9318,10000,10575,11021,11318,11471,11471,11331,11061,
10671,10181,9604,8945,8228,7457,6649,5806,4943,4060,3171,2268,1373,482,-405,-1279,-2138,-2978,-3790,-4580,
-5340,-6066,-6763,-7426,-8054,-8642,-9185,-9681,-10125,-10507,-10823,-11066,-11225,-11293,-11255,-11106,-10834,-10431,-9903,-9248,
-8485,-7626,-6694,-5724,-4741,-3773,-2849,-1997,-1229,-562,-3,451,799,1056,1231,1345,1416,1465,1513,1588,
1703,1880,2135,2477,2916,3453,4079,4789,5568,6390,7241,8084,8891,9633,10279,10811,11204,11446,11543,11491,
11300,10983,10557,10032,9423,8742,8004,7215,6391,5539,4664,3775,2880,1979,1081,187,-696,-1567,-2421,-3253,
-4059,-4840,-5593,-6312,-7000,-7652,-8269,-8843,-9369,-9848,-10274,-10634,-10927,-11142,-11272,-11303,-11232,-11037,-10724,-10276,
-9706,-9015,-8217,-7335,-6393,-5418,-4444,-3495,-2599,-1781,-1053,-427,89,504,816,1041,1193,1292,1357,1406,
1468,1558,1699,1906,2197,2576,3053,3623,4284,5020,5815,6650,7496,8320,9103,9803,10401,10873,11205,11384,
11417,11307,11062,10699,10228,9669,9031,8326,7569,6765,5930,5068,4184,3291,2394,1494,599,-290,-1164,-2028,
-2871,-3693,-4487,-5256,-5997,-6703,-7374,-8010,-8608,-9163,-9665,-10120,-10517,-10847,-11109,-11290,-11382,-11371,-11250,-11007,
-10636,-10138,-9512,-8777,-7943,-7032,-6072,-5093,-4125,-3189,-2320,-1532,-838,-253,225,605,882,1083,1217,1306,
1365,1422,1495,1609,1774,2017,2343,2763,3275,3884,4577,5340,6152,6991,7841,8657,9410,10080,10633,11060,
11337,11462,11445,11284,10999,10596,10091,9504,8845,8122,7351,6537,5694,4824,3942,3043,2147,1251,359,-522,
-1392,-2248,-3083,-3895,-4675,-5435,-6161,-6856,-7516,-8138,-8719,-9253,-9740,-10171,-10546,-10851,-11083,-11233,-11289,-11241,
-11074,-10788,-10372,-9830,-9166,-8393,-7531,-6606,-5640,-4665,-3712,-2803,-1964,-1210,-557,-14,427,768,1015,1193,
1308,1387,1447,1512,1604,1737,1935,2210,2574,3034,3583,4223,4946,5727,6553,7393,8223,9013,9731,10351,
10850,11213,11424,11487,11405,11189,10848,10401,9858,9240,8549,7803,7016,6190,5331,4455,3564,2667,1766,865,
-21,-901,-1764,-2612,-3436,-4239,-5012,-5758,-6472,-7154,-7800,-8410,-8972,-9488,-9955,-10363,-10711,-10987,-11188,-11303,
-11317,-11225,-11014,-10678,-10214,-9623,-8916,-8107,-7219,-6275,-5307,-4332,-3395,-2507,-1699,-983,-367,142,546,854,
1075,1230,1332,1407,1470,1548,1659,1819,2049,2359,2762,3254,3843,4514,5261,6061,6895,7733,8547,9312,
9995,10570,11019,11327,11481,11489,11360,11095,10718,10231,9662,9016,8310,7548,6746,5909,5051,4169,3276,2379,
1481,586,-298,-1173,-2028,-2866,-3678,-4466,-5227,-5961,-6664,-7328,-7962,-8552,-9098,-9594,-10037,-10423,-10740,-10990,
-11159,-11236,-11214,-11082,-10825,-10444,-9933,-9303,-8557,-7722,-6813,-5858,-4889,-3930,-3013,-2157,-1381,-702,-126,342,
712,990,1187,1326,1419,1490,1561,1655,1787,1976,2239,2586,3029,3560,4177,4879,5646,6459,7293,8123,
8916,9644,10281,10804,11192,11437,11530,11480,11294,10978,10556,10034,9430,8759,8027,7248,6434,5588,4720,3833,
2937,2038,1140,246,-636,-1504,-2355,-3181,-3987,-4763,-5512,-6234,-6924,-7579,-8197,-8772,-9300,-9778,-10199,-10561,
-10853,-11071,-11204,-11245,-11183,-11004,-10699,-10269,-9714,-9037,-8258,-7389,-6459,-5499,-4532,-3589,-2694,-1867,-1130,-489,
46,478,808,1055,1228,1349,1430,1503,1579,1686,1838,2056,2350,2732,3203,3770,4422,5147,5932,6753,
7585,8400,9174,9867,10462,10933,11265,11454,11493,11388,11155,10798,10337,9782,9150,8455,7706,6913,6088,5231,
4357,3466,2567,1670,774,-119,-995,-1861,-2701,-3522,-4315,-5081,-5818,-6529,-7205,-7846,-8448,-9006,-9517,-9975,
-10374,-10710,-10975,-11161,-11259,-11262,-11157,-10935,-10587,-10111,-9510,-8794,-7980,-7091,-6153,-5189,-4230,-3305,-2435,-1639,
-937,-335,160,558,862,1083,1235,1347,1424,1501,1593,1721,1904,2154,2483,2904,3418,4021,4700,5453,
6253,7082,7907,8706,9449,10105,10649,11066,11338,11468,11448,11292,11009,10609,10112,9527,8868,8149,7384,6577,
5740,4876,4001,3108,2211,1315,421,-467,-1336,-2193,-3026,-3836,-4617,-5374,-6096,-6794,-7453,-8079,-8661,-9201,
-9694,-10128,-10501,-10808,-11042,-11193,-11255,-11213,-11064,-10790,-10391,-9866,-9220,-8467,-7621,-6707,-5754,-4788,-3840,-2934,
-2091,-1330,-666,-104,355,715,986,1181,1315,1412,1489,1568,1671,1818,2023,2302,2665,3119,3662,4293,
5002,5769,6580,7406,8224,9001,9711,10328,10823,11184,11403,11478,11404,11202,10875,10437,9905,9292,8608,7871,
7088,6268,5420,4551,3667,2774,1875,979,90,-794,-1661,-2509,-3337,-4136,-4910,-5656,-6369,-7052,-7697,-8310,
-8878,-9400,-9872,-10284,-10637,-10918,-11120,-11239,-11260,-11179,-10982,-10662,-10213,-9645,-8959,-8166,-7294,-6369,-5410,-4452,
-3520,-2639,-1831,-1109,-484,35,455,779,1019,1190,1308,1396,1471,1558,1674,1841,2075,2385,2784,3271,
3851,4512,5243,6030,6846,7672,8472,9227,9900,10468,10913,11221,11378,11396,11269,11015,10645,10171,9606,8962,
8259,7500,6702,5869,5012,4138,3249,2355,1456,561,-325,-1202,-2063,-2904,-3720,-4510,-5274,-6008,-6707,-7376,
-8009,-8601,-9151,-9656,-10105,-10495,-10818,-11071,-11240,-11323,-11302,-11175,-10931,-10562,-10064,-9450,-8720,-7895,-7000,-6055,
-5096,-4145,-3231,-2376,-1601,-916,-332,151,532,823,1036,1185,1293,1375,1452,1552,1687,1876,2136,2482,
2914,3436,4047,4736,5489,6289,7109,7932,8715,9441,10077,10602,10995,11246,11354,11318,11147,10849,10443,9935,
9343,8676,7953,7183,6369,5530,4666,3786,2896,2001,1106,217,-666,-1536,-2386,-3220,-4026,-4805,-5557,-6277,
-6964,-7616,-8230,-8807,-9336,-9819,-10244,-10609,-10905,-11127,-11262,-11306,-11243,-11068,-10776,-10356,-9814,-9153,-8384,-7533,
-6617,-5669,-4708,-3770,-2875,-2051,-1310,-663,-116,325,671,932,1124,1259,1356,1439,1527,1641,1798,2019,
2312,2692,3161,3722,4364,5080,5854,6666,7490,8297,9064,9760,10351,10826,11164,11358,11406,11319,11096,10755,
10306,9767,9146,8458,7719,6932,6106,5256,4385,3501,2610,1716,823,-60,-938,-1800,-2644,-3465,-4262,-5030,
-5770,-6477,-7151,-7790,-8388,-8945,-9454,-9914,-10317,-10656,-10922,-11113,-11213,-11216,-11111,-10890,-10546,-10078,-9485,-8783,
-7983,-7101,-6168,-5211,-4259,-3338,-2466,-1672,-965,-358,147,556,867,1102,1269,1388,1480,1565,1660,1789,
1967,2213,2539,2952,3456,4045,4713,5449,6240,7054,7872,8665,9404,10061,10612,11034,11318,11456,11452,11310,
11039,10659,10176,9604,8960,8251,7491,6689,5850,4992,4113,3225,2332,1438,546,-335,-1210,-2066,-2903,-3715,
-4504,-5264,-5993,-6688,-7353,-7978,-8562,-9103,-9594,-10033,-10415,-10728,-10969,-11129,-11192,-11161,-11015,-10750,-10362,-9848,
-9217,-8480,-7651,-6753,-5818,-4864,-3925,-3027,-2187,-1433,-770,-203,263,630,908,1115,1263,1366,1456,1543,
1651,1799,2000,2277,2634,3081,3615,4237,4933,5691,6486,7304,8112,8882,9588,10200,10701,11067,11290,11368,
11305,11114,10792,10369,9848,9246,8575,7843,7064,6248,5401,4534,3649,2757,1860,966,81,-800,-1669,-2516,
-3342,-4144,-4924,-5675,-6392,-7078,-7725,-8336,-8901,-9422,-9894,-10309,-10663,-10947,-11157,-11281,-11308,-11231,-11041,-10731,
-10291,-9732,-9057,-8284,-7423,-6509,-5561,-4612,-3686,-2806,-1995,-1270,-639,-108,320,654,909,1096,1233,1330,
1421,1520,1645,1818,2050,2359,2755,3235,3806,4460,5182,5957,6765,7579,8377,9125,9800,10374,10825,11138,
11309,11337,11225,10987,10629,10167,9619,8993,8302,7556,6768,5944,5091,4217,3335,2441,1548,658,-225,-1097,
-1952,-2790,-3606,-4394,-5161,-5894,-6600,-7267,-7901,-8493,-9043,-9543,-9988,-10380,-10705,-10962,-11139,-11227,-11214,-11095,
-10858,-10498,-10013,-9409,-8696,-7893,-7012,-6087,-5137,-4198,-3288,-2435,-1656,-967,-376,117,514,816,1043,1210,
1333,1433,1526,1638,1784,1980,2246,2588,3019,3534,4140,4817,5559,6349,7157,7967,8744,9464,10093,10617,
11016,11270,11378,11350,11183,10895,10493,9992,9408,8755,8038,7274,6467,5632,4768,3892,2998,2105,1208,314,
-563,-1431,-2285,-3113,-3921,-4704,-5458,-6183,-6877,-7534,-8154,-8733,-9263,-9746,-10176,-10543,-10844,-11071,-11217,-11270,
-11220,-11059,-10782,-10378,-9850,-9207,-8460,-7626,-6727,-5794,-4848,-3917,-3029,-2202,-1453,-801,-243,212,575,851,
1061,1212,1327,1427,1529,1657,1824,2050,2346,2724,3192,3741,4374,5081,5842,6639,7447,8244,8996,9680,
10270,10743,11084,11283,11340,11252,11041,10707,10265,9734,9122,8445,7712,6933,6118,5275,4409,3527,2635,1743,
850,-38,-912,-1773,-2612,-3432,-4224,-4995,-5735,-6446,-7124,-7764,-8369,-8927,-9439,-9899,-10301,-10642,-10911,-11105,
-11215,-11228,-11137,-10931,-10606,-10156,-9582,-8899,-8120,-7259,-6345,-5405,-4465,-3551,-2681,-1884,-1168,-550,-26,395,
729,981,1170,1309,1424,1524,1641,1784,1979,2236,2567,2981,3481,4064,4729,5455,6232,7035,7838,8618,
9347,9989,10536,10957,11239,11380,11380,11242,10981,10603,10124,9562,8922,8220,7469,6675,5850,4998,4124,3241,
2349,1456,563,-320,-1189,-2044,-2877,-3688,-4470,-5225,-5958,-6654,-7319,-7946,-8533,-9076,-9567,-10004,-10385,-10697,
-10940,-11099,-11175,-11145,-11014,-10763,-10391,-9897,-9282,-8558,-7749,-6865,-5944,-5000,-4067,-3169,-2327,-1559,-880,-297,
189,579,882,1110,1278,1408,1517,1623,1750,1910,2125,2410,2770,3217,3751,4362,5050,5797,6583,7384,
8181,8943,9638,10244,10740,11107,11337,11424,11373,11188,10882,10465,9953,9361,8696,7974,7204,6400,5564,4703,
3829,2943,2048,1154,268,-612,-1479,-2327,-3153,-3951,-4725,-5472,-6191,-6875,-7527,-8139,-8709,-9232,-9705,-10123,
-10480,-10767,-10978,-11105,-11142,-11073,-10897,-10600,-10184,-9642,-8987,-8230,-7390,-6492,-5560,-4623,-3702,-2827,-2018,-1287,
-646,-103,342,697,970,1171,1321,1440,1545,1653,1794,1971,2212,2524,2917,3397,3957,4596,5309,6069,
6865,7662,8447,9183,9845,10411,10857,11170,11347,11377,11269,11038,10688,10230,9688,9063,8375,7633,6846,6025,
5179,4312,3427,2542,1646,752,-133,-1012,-1870,-2714,-3531,-4323,-5086,-5822,-6527,-7199,-7834,-8431,-8989,-9491,
-9945,-10340,-10671,-10930,-11109,-11201,-11200,-11089,-10865,-10521,-10055,-9469,-8772,-7979,-7115,-6199,-5258,-4323,-3418,-2565,
-1785,-1086,-481,23,435,759,1003,1185,1324,1436,1540,1656,1810,2011,2279,2621,3045,3557,4150,4815,
5550,6324,7123,7918,8688,9401,10030,10553,10950,11214,11338,11319,11168,10893,10504,10016,9443,8797,8089,7331,
6532,5702,4851,3978,3094,2205,1311,424,-459,-1326,-2180,-3011,-3820,-4598,-5349,-6071,-6763,-7419,-8038,-8615,
-9150,-9634,-10063,-10431,-10734,-10960,-11104,-11158,-11113,-10952,-10682,-10285,-9770,-9139,-8400,-7578,-6692,-5762,-4824,-3899,
-3014,-2192,-1442,-782,-221,246,621,910,1127,1289,1411,1516,1625,1753,1923,2147,2440,2815,3272,3816,
4438,5128,5879,6666,7468,8254,9003,9685,10275,10752,11098,11307,11377,11304,11105,10784,10356,9833,9229,8555,
7828,7052,6237,5396,4532,3652,2764,1874,979,94,-786,-1651,-2500,-3324,-4125,-4897,-5641,-6354,-7035,-7676,
-8282,-8844,-9363,-9828,-10238,-10584,-10863,-11061,-11173,-11190,-11106,-10905,-10588,-10154,-9593,-8924,-8160,-7311,-6411,-5481,
-4546,-3635,-2775,-1982,-1267,-644,-119,312,656,917,1117,1265,1382,1491,1606,1752,1943,2195,2524,2928,
3421,3997,4650,5364,6129,6921,7718,8491,9214,9860,10407,10831,11125,11275,11290,11166,10915,10551,10090,9533,
8906,8211,7464,6673,5849,4999,4130,3247,2360,1469,580,-303,-1175,-2033,-2869,-3686,-4474,-5232,-5964,-6662,
-7323,-7954,-8540,-9083,-9579,-10022,-10407,-10722,-10971,-11138,-11212,-11191,-11062,-10818,-10457,-9972,-9372,-8660,-7865,-6994,
-6081,-5147,-4222,-3327,-2488,-1721,-1039,-450,41,439,755,993,1177,1317,1434,1548,1678,1845,2063,2346,
2703,3144,3672,4278,4954,5689,6466,7262,8049,8802,9497,10105,10601,10976,11210,11306,11265,11089,10793,10392,
9893,9308,8652,7938,7172,6369,5534,4673,3801,2915,2027,1136,249,-628,-1496,-2346,-3172,-3979,-4758,-5504,
-6225,-6909,-7563,-8176,-8743,-9273,-9749,-10166,-10526,-10820,-11038,-11174,-11213,-11153,-10981,-10692,-10286,-9758,-9120,-8377,
-7552,-6667,-5743,-4813,-3900,-3024,-2214,-1480,-834,-285,173,541,827,1044,1213,1343,1459,1583,1725,1913,
2154,2468,2860,3330,3889,4524,5223,5975,6760,7555,8331,9061,9721,10291,10738,11055,11235,11275,11180,10958,
10619,10176,9648,9033,8358,7624,6845,6029,5186,4322,3445,2554,1666,781,-103,-976,-1834,-2673,-3490,-4285,
-5051,-5790,-6496,-7166,-7801,-8396,-8950,-9453,-9908,-10300,-10635,-10899,-11086,-11184,-11187,-11084,-10871,-10539,-10082,-9511,
-8835,-8062,-7214,-6314,-5388,-4462,-3561,-2708,-1924,-1221,-608,-86,336,677,941,1145,1304,1434,1557,1695,
1857,2071,2344,2689,3117,3626,4215,4877,5598,6366,7156,7943,8701,9405,10026,10549,10943,11207,11331,11316,
11168,10895,10515,10035,9473,8835,8137,7385,6593,5766,4914,4044,3162,2272,1382,497,-382,-1248,-2101,-2933,
-3740,-4526,-5281,-6008,-6701,-7362,-7984,-8565,-9099,-9583,-10018,-10390,-10698,-10934,-11092,-11158,-11124,-10981,-10723,-10346,
-9851,-9239,-8528,-7727,-6859,-5951,-5024,-4107,-3226,-2396,-1643,-974,-398,85,481,790,1030,1214,1363,1491,
1618,1763,1946,2178,2478,2851,3309,3845,4460,5143,5881,6652,7442,8215,8950,9619,10202,10676,11017,11224,
11293,11226,11027,10712,10290,9779,9183,8522,7803,7035,6229,5393,4532,3656,2770,1879,990,105,-769,-1633,
-2476,-3301,-4097,-4872,-5617,-6332,-7012,-7660,-8267,-8831,-9345,-9810,-10220,-10565,-10847,-11052,-11174,-11202,-11124,-10939,
-10635,-10210,-9669,-9013,-8267,-7438,-6550,-5634,-4711,-3805,-2938,-2139,-1417,-782,-244,206,562,847,1063,1233,
1371,1495,1629,1791,1991,2251,2581,2990,3477,4047,4690,5397,6148,6929,7716,8478,9194,9832,10371,10799,
11092,11249,11267,11149,10909,10555,10095,9554,8931,8247,7511,6730,5914,5066,4203,3322,2437,1543,661,-222,
-1092,-1945,-2778,-3590,-4378,-5141,-5870,-6573,-7238,-7867,-8461,-9004,-9501,-9945,-10330,-10649,-10898,-11071,-11160,-11147,
-11029,-10802,-10453,-9984,-9402,-8710,-7931,-7082,-6181,-5260,-4345,-3454,-2617,-1843,-1152,-552,-48,367,698,958,
1157,1317,1451,1582,1727,1906,2128,2416,2776,3217,3734,4330,4997,5723,6487,7269,8045,8789,9473,10078,
10571,10945,11182,11284,11250,11080,10797,10396,9904,9330,8683,7979,7224,6429,5603,4748,3878,2995,2107,1216,
332,-543,-1412,-2259,-3085,-3888,-4665,-5415,-6135,-6823,-7477,-8093,-8667,-9194,-9671,-10095,-10453,-10749,-10969,-11105,
-11155,-11103,-10946,-10670,-10278,-9761,-9140,-8413,-7604,-6734,-5825,-4903,-3998,-3130,-2314,-1571,-919,-354,119,503,
804,1040,1225,1373,1507,1640,1797,1994,2242,2559,2947,3419,3966,4594,5283,6023,6796,7576,8339,9061,
9715,10278,10726,11051,11234,11285,11198,10984,10658,10222,9696,9094,8422,7696,6928,6116,5283,4422,3546,2662,
1773,882,-3,-876,-1738,-2578,-3397,-4189,-4956,-5697,-6403,-7080,-7718,-8320,-8879,-9389,-9843,-10246,-10582,-10847,
-11038,-11144,-11155,-11063,-10859,-10542,-10101,-9546,-8882,-8123,-7290,-6403,-5490,-4572,-3680,-2832,-2045,-1338,-719,-191,
246,597,874,1085,1252,1393,1523,1664,1834,2049,2321,2667,3082,3586,4160,4808,5518,6270,7045,7821,
8568,9266,9885,10402,10804,11076,11207,11206,11069,10812,10442,9970,9416,8786,8092,7351,6564,5746,4899,4034,
3155,2271,1377,491,-388,-1259,-2110,-2943,-3752,-4535,-5289,-6016,-6709,-7371,-7994,-8578,-9118,-9606,-10040,-10415,
-10722,-10957,-11113,-11183,-11156,-11017,-10767,-10402,-9917,-9318,-8619,-7826,-6976,-6075,-5158,-4251,-3373,-2546,-1791,-1116,
-535,-40,364,688,940,1138,1294,1431,1568,1716,1907,2142,2444,2820,3272,3804,4409,5085,5812,6577,
7353,8123,8856,9523,10106,10582,10936,11155,11236,11183,11003,10704,10296,9797,9211,8561,7848,7086,6290,5460,
4609,3740,2859,1973,1083,199,-676,-1537,-2383,-3206,-4007,-4775,-5517,-6232,-6912,-7558,-8165,-8732,-9250,-9718,
-10133,-10482,-10758,-10966,-11086,-11118,-11048,-10869,-10574,-10163,-9634,-8996,-8260,-7444,-6570,-5662,-4746,-3849,-2990,-2190,
-1465,-827,-273,186,561,857,1088,1271,1422,1559,1699,1863,2071,2333,2660,3068,3550,4112,4744,5440,
6183,6952,7725,8483,9189,9826,10368,10796,11093,11261,11288,11187,10958,10616,10174,9636,9024,8348,7614,6839,
6029,5190,4330,3454,2576,1688,802,-79,-949,-1806,-2643,-3458,-4246,-5010,-5740,-6442,-7107,-7739,-8329,-8877,
-9380,-9826,-10214,-10540,-10792,-10966,-11052,-11046,-10935,-10710,-10372,-9915,-9343,-8667,-7898,-7061,-6176,-5261,-4352,-3469,
-2630,-1863,-1171,-564,-52,372,716,985,1197,1366,1511,1646,1797,1975,2203,2489,2845,3279,3791,4380,
5039,5753,6506,7279,8046,8785,9465,10066,10563,10941,11189,11299,11273,11123,10848,10465,9985,9417,8783,8081,
7328,6540,5717,4867,4002,3121,2235,1348,464,-413,-1281,-2130,-2960,-3769,-4548,-5300,-6020,-6711,-7362,-7976,
-8554,-9085,-9568,-9991,-10357,-10657,-10882,-11026,-11078,-11035,-10884,-10616,-10235,-9737,-9127,-8418,-7625,-6767,-5872,-4961,
-4061,-3196,-2382,-1643,-983,-416,66,461,774,1022,1218,1378,1520,1664,1821,2020,2272,2583,2969,3434,
3976,4593,5269,5998,6760,7529,8284,9000,9647,10208,10656,10980,11174,11228,11151,10949,10632,10209,9694,9100,
8435,7720,6949,6146,5310,4454,3582,2700,1814,930,48,-824,-1684,-2527,-3344,-4145,-4915,-5654,-6361,-7035,
-7674,-8274,-8828,-9342,-9800,-10202,-10542,-10812,-11004,-11115,-11129,-11041,-10847,-10533,-10108,-9566,-8918,-8172,-7357,-6483,
-5580,-4672,-3783,-2936,-2148,-1436,-810,-273,172,539,829,1059,1244,1398,1543,1694,1870,2092,2369,2710,
3130,3627,4200,4843,5542,6288,7055,7820,8563,9256,9871,10393,10794,11067,11207,11212,11086,10840,10484,10025,
9481,8861,8179,7442,6662,5845,5005,4142,3269,2385,1501,618,-258,-1126,-1978,-2808,-3621,-4405,-5165,-5891,
-6588,-7248,-7869,-8454,-8992,-9480,-9920,-10297,-10611,-10855,-11016,-11090,-11069,-10944,-10707,-10350,-9879,-9296,-8612,-7838,
-6998,-6113,-5209,-4308,-3431,-2609,-1849,-1168,-574,-72,343,680,951,1161,1338,1487,1636,1796,1990,2231,
2533,2904,3352,3878,4477,5141,5856,6607,7375,8131,8855,9517,10095,10570,10920,11141,11226,11178,11003,10714,
10314,9823,9246,8599,7897,7145,6346,5520,4668,3799,2919,2036,1150,267,-607,-1468,-2314,-3137,-3938,-4714,
-5462,-6179,-6864,-7510,-8119,-8684,-9206,-9677,-10088,-10443,-10730,-10944,-11074,-11113,-11051,-10884,-10600,-10202,-9688,-9066,
-8344,-7550,-6690,-5797,-4894,-4000,-3143,-2344,-1614,-969,-408,61,445,754,1001,1197,1362,1514,1669,1840,
2056,2319,2648,3048,3527,4081,4707,5393,6123,6882,7648,8391,9090,9724,10262,10687,10989,11158,11193,11094,
10873,10539,10102,9577,8977,8307,7585,6814,6009,5174,4316,3441,2559,1670,786,-93,-963,-1818,-2653,-3471,
-4263,-5029,-5763,-6468,-7141,-7773,-8369,-8917,-9417,-9870,-10258,-10588,-10846,-11030,-11126,-11131,-11030,-10821,-10497,-10053,
-9501,-8842,-8091,-7270,-6399,-5504,-4601,-3723,-2887,-2115,-1411,-798,-274,168,523,813,1042,1226,1388,1542,
1705,1896,2129,2425,2782,3213,3722,4305,4955,5662,6402,7164,7924,8649,9325,9922,10418,10796,11045,11161,
11143,10995,10727,10351,9881,9324,8695,8008,7269,6483,5667,4824,3961,3085,2197,1313,429,-445,-1308,-2155,
-2981,-3787,-4567,-5322,-6042,-6734,-7390,-8011,-8585,-9116,-9595,-10023,-10393,-10693,-10923,-11070,-11134,-11096,-10955,-10702,
-10334,-9845,-9253,-8557,-7779,-6936,-6048,-5150,-4254,-3387,-2575,-1829,-1160,-573,-79,330,663,930,1143,1319,
1484,1644,1815,2026,2282,2605,2993,3454,3993,4604,5277,5998,6748,7513,8260,8967,9613,10172,10623,10954,
11147,11213,11146,10949,10641,10225,9722,9138,8484,7774,7017,6223,5394,4543,3675,2797,1907,1022,144,-731,
-1590,-2430,-3250,-4043,-4814,-5556,-6268,-6944,-7590,-8195,-8752,-9264,-9727,-10130,-10473,-10747,-10949,-11063,-11090,-11017,
-10835,-10542,-10129,-9604,-8972,-8248,-7445,-6586,-5697,-4798,-3915,-3073,-2280,-1563,-925,-374,91,469,778,1024,
1228,1400,1560,1725,1914,2145,2428,2774,3193,3685,4252,4885,5576,6308,7065,7819,8551,9231,9841,10355,
10759,11034,11178,11185,11068,10825,10473,10022,9481,8870,8193,7465,6692,5884,5046,4187,3317,2432,1546,660,
-218,-1088,-1939,-2770,-3581,-4366,-5126,-5857,-6553,-7218,-7847,-8433,-8977,-9471,-9910,-10292,-10608,-10852,-11023,-11103,
-11090,-10976,-10750,-10411,-9959,-9392,-8723,-7968,-7142,-6270,-5374,-4480,-3613,-2784,-2023,-1335,-730,-212,221,574,
859,1092,1281,1447,1611,1786,1989,2240,2544,2920,3368,3887,4483,5138,5847,6586,7341,8088,8800,9456,
10032,10502,10857,11080,11174,11134,10970,10685,10297,9811,9246,8607,7907,7161,6377,5556,4714,3850,2974,2092,
1207,324,-548,-1412,-2257,-3081,-3882,-4655,-5404,-6119,-6804,-7455,-8069,-8638,-9161,-9634,-10052,-10408,-10701,-10914,
-11052,-11098,-11046,-10888,-10622,-10241,-9742,-9137,-8436,-7654,-6807,-5925,-5032,-4145,-3294,-2490,-1758,-1103,-530,-46,
358,686,949,1162,1343,1506,1675,1860,2082,2353,2686,3086,3562,4108,4729,5403,6122,6868,7622,8356,
9050,9673,10205,10630,10935,11108,11147,11057,10846,10519,10094,9575,8982,8320,7601,6838,6040,5209,4358,3490,
2611,1729,842,-38,-907,-1764,-2604,-3416,-4210,-4973,-5705,-6411,-7080,-7718,-8314,-8863,-9370,-9822,-10218,-10552,
-10812,-10996,-11098,-11103,-11010,-10810,-10499,-10072,-9532,-8888,-8154,-7347,-6485,-5595,-4703,-3828,-2995,-2219,-1513,-891,
-351,102,476,780,1025,1225,1399,1565,1738,1938,2180,2472,2831,3262,3765,4339,4982,5675,6411,7157,
7906,8626,9295,9885,10380,10759,11013,11136,11128,10993,10739,10377,9916,9369,8750,8068,7334,6555,5748,4908,
4053,3183,2307,1423,540,-334,-1198,-2050,-2876,-3683,-4463,-5214,-5938,-6626,-7283,-7902,-8480,-9012,-9499,-9927,
-10299,-10604,-10836,-10987,-11055,-11020,-10890,-10643,-10287,-9816,-9236,-8557,-7794,-6964,-6089,-5197,-4313,-3452,-2640,-1890,
-1221,-628,-121,299,646,925,1152,1344,1512,1682,1861,2075,2335,2652,3037,3498,4026,4629,5290,5999,
6738,7489,8224,8927,9568,10120,10571,10903,11104,11178,11117,10938,10641,10238,9748,9170,8527,7825,7069,6280,
5458,4609,3748,2874,1994,1112,231,-639,-1499,-2343,-3164,-3961,-4731,-5472,-6185,-6862,-7503,-8107,-8667,-9179,
-9647,-10053,-10401,-10679,-10881,-11001,-11032,-10960,-10785,-10498,-10097,-9586,-8968,-8255,-7468,-6620,-5738,-4846,-3971,-3131,
-2343,-1622,-981,-426,49,441,762,1016,1232,1414,1581,1754,1951,2181,2461,2805,3220,3707,4268,4890,
5572,6293,7039,7784,8508,9188,9796,10313,10720,11003,11156,11175,11069,10845,10508,10069,9545,8943,8276,7551,
6783,5981,5150,4295,3428,2551,1671,790,-87,-953,-1805,-2641,-3452,-4242,-4998,-5730,-6430,-7095,-7717,-8307,
-8847,-9343,-9785,-10171,-10492,-10743,-10914,-10999,-10994,-10883,-10666,-10336,-9890,-9341,-8685,-7944,-7133,-6270,-5390,-4502,
-3638,-2819,-2056,-1365,-758,-232,209,577,869,1112,1313,1492,1663,1843,2053,2304,2610,2979,3422,3938,
4522,5166,5865,6594,7342,8079,8786,9439,10011,10481,10841,11070,11171,11140,10985,10715,10336,9864,9311,8681,
7992,7252,6470,5653,4815,3952,3082,2198,1319,442,-432,-1293,-2140,-2970,-3772,-4548,-5298,-6015,-6703,-7352,
-7963,-8535,-9060,-9533,-9955,-10317,-10611,-10835,-10973,-11026,-10981,-10829,-10569,-10195,-9711,-9119,-8431,-7663,-6831,-5959,
-5074,-4197,-3349,-2548,-1812,-1153,-576,-83,330,667,941,1167,1362,1539,1710,1901,2126,2396,2728,3124,
3593,4135,4744,5409,6119,6857,7602,8327,9015,9637,10173,10604,10914,11094,11145,11064,10865,10554,10139,9638,
9054,8403,7694,6936,6143,5318,4470,3602,2728,1848,966,91,-779,-1633,-2471,-3289,-4083,-4851,-5587,-6295,
-6969,-7604,-8199,-8755,-9257,-9711,-10110,-10445,-10712,-10903,-11008,-11025,-10940,-10747,-10444,-10028,-9503,-8875,-8153,-7359,
-6516,-5638,-4753,-3889,-3057,-2285,-1575,-946,-405,57,438,754,1009,1221,1406,1581,1761,1963,2206,2501,
2857,3281,3778,4343,4975,5659,6380,7121,7859,8571,9232,9823,10319,10700,10958,11089,11088,10959,10713,10362,
9909,9372,8765,8092,7364,6591,5785,4948,4093,3220,2345,1461,581,-294,-1158,-2006,-2835,-3644,-4428,-5181,
-5909,-6604,-7265,-7886,-8466,-9001,-9487,-9917,-10291,-10603,-10840,-10999,-11071,-11050,-10929,-10693,-10345,-9885,-9323,-8657,
-7906,-7091,-6233,-5352,-4473,-3617,-2809,-2057,-1380,-783,-270,161,519,811,1051,1253,1434,1615,1803,2028,
2290,2608,2991,3444,3968,4562,5217,5918,6646,7389,8118,8812,9450,10005,10456,10794,11006,11085,11035,10862,
10575,10184,9699,9135,8501,7810,7066,6278,5464,4621,3761,2888,2008,1128,251,-621,-1477,-2318,-3137,-3937,
-4706,-5449,-6162,-6844,-7490,-8095,-8655,-9172,-9637,-10043,-10389,-10675,-10881,-11005,-11045,-10982,-10817,-10540,-10149,-9650,
-9044,-8345,-7569,-6737,-5869,-4987,-4116,-3277,-2489,-1768,-1119,-554,-73,335,665,938,1161,1355,1535,1718,
1919,2156,2442,2784,3193,3674,4227,4843,5512,6221,6959,7695,8411,9084,9689,10206,10613,10903,11060,11090,
10992,10771,10444,10014,9496,8903,8248,7530,6771,5971,5148,4300,3432,2554,1674,791,-83,-949,-1805,-2635,
-3449,-4236,-4996,-5730,-6429,-7098,-7728,-8321,-8866,-9362,-9806,-10191,-10514,-10766,-10947,-11038,-11037,-10938,-10730,-10408,
-9978,-9437,-8797,-8068,-7267,-6419,-5547,-4667,-3809,-2986,-2225,-1530,-912,-378,72,451,757,1013,1225,1412,
1595,1786,2001,2256,2567,2937,3375,3883,4460,5100,5787,6512,7249,7982,8681,9333,9904,10380,10742,10983,
11094,11076,10930,10669,10301,9840,9293,8675,7996,7266,6492,5683,4848,3993,3124,2245,1368,487,-384,-1246,
-2092,-2913,-3714,-4494,-5239,-5960,-6646,-7304,-7916,-8490,-9014,-9493,-9915,-10277,-10572,-10793,-10941,-11000,-10962,-10819,
-10570,-10207,-9736,-9155,-8481,-7724,-6907,-6049,-5171,-4298,-3450,-2650,-1914,-1246,-659,-158,269,619,909,1148,
1352,1541,1728,1927,2158,2437,2768,3168,3636,4172,4777,5436,6140,6871,7609,8330,9007,9628,10162,10595,
10907,11092,11150,11078,10883,10578,10170,9674,9094,8449,7746,6996,6206,5386,4542,3680,2801,1922,1040,164,
-704,-1561,-2402,-3220,-4013,-4780,-5522,-6227,-6906,-7545,-8147,-8703,-9212,-9673,-10071,-10409,-10680,-10878,-10990,-11015,
-10938,-10757,-10469,-10066,-9552,-8936,-8228,-7448,-6611,-5745,-4866,-4004,-3174,-2397,-1687,-1051,-495,-24,373,700,
966,1189,1387,1570,1761,1975,2221,2520,2881,3308,3803,4365,4994,5671,6386,7122,7855,8561,9216,9805,
10299,10680,10943,11077,11081,10961,10723,10372,9928,9396,8788,8122,7397,6632,5831,4996,4145,3281,2403,1523,
644,-230,-1096,-1944,-2777,-3582,-4367,-5124,-5848,-6542,-7204,-7826,-8411,-8952,-9440,-9876,-10253,-10563,-10804,-10967,
-11047,-11032,-10917,-10693,-10359,-9913,-9361,-8710,-7969,-7163,-6311,-5439,-4563,-3708,-2895,-2143,-1458,-854,-329,114,
485,791,1043,1257,1450,1639,1839,2063,2334,2658,3047,3502,4026,4615,5268,5965,6688,7427,8151,8841,
9471,10022,10474,10809,11016,11100,11054,10883,10600,10210,9732,9166,8534,7844,7103,6319,5506,4666,3806,2937,
2057,1177,301,-567,-1430,-2271,-3095,-3891,-4668,-5410,-6123,-6804,-7451,-8059,-8625,-9146,-9613,-10032,-10379,-10669,
-10882,-11014,-11057,-11004,-10846,-10584,-10206,-9721,-9125,-8443,-7677,-6850,-5985,-5110,-4240,-3400,-2606,-1878,-1227,-652,
-158,257,602,887,1123,1328,1517,1707,1919,2160,2449,2800,3214,3697,4247,4861,5531,6241,6973,7705,
8421,9092,9690,10202,10607,10895,11056,11085,10990,10776,10448,10022,9510,8921,8263,7552,6795,5997,5171,4325,
3461,2589,1708,832,-42,-907,-1763,-2598,-3411,-4199,-4962,-5694,-6393,-7061,-7691,-8282,-8829,-9330,-9778,-10169,
-10495,-10751,-10932,-11030,-11036,-10940,-10741,-10432,-10007,-9476,-8843,-8124,-7333,-6487,-5616,-4738,-3877,-3054,-2283,-1583,
-959,-417,45,429,749,1014,1236,1432,1618,1815,2035,2292,2603,2975,3416,3926,4500,5139,5827,6544,
7279,8009,8708,9356,9925,10396,10761,10997,11105,11087,10945,10686,10318,9858,9315,8697,8018,7288,6513,5706,
4870,4014,3146,2274,1390,516,-353,-1217,-2061,-2891,-3694,-4471,-5223,-5942,-6631,-7285,-7899,-8475,-9006,-9484,
-9910,-10276,-10573,-10802,-10952,-11014,-10980,-10842,-10600,-10244,-9774,-9203,-8533,-7778,-6964,-6103,-5225,-4354,-3505,-2701,
-1957,-1289,-700,-191,238,591,886,1127,1334,1523,1707,1909,2139,2413,2743,3141,3605,4138,4736,5396,
6097,6824,7562,8283,8965,9586,10122,10555,10871,11061,11122,11054,10868,10569,10162,9672,9097,8456,7755,7009,
6218,5401,4556,3696,2825,1946,1065,192,-677,-1532,-2373,-3190,-3985,-4750,-5494,-6201,-6875,-7514,-8116,-8671,
-9182,-9641,-10044,-10384,-10656,-10852,-10967,-10993,-10918,-10738,-10448,-10047,-9533,-8919,-8211,-7430,-6594,-5725,-4845,-3979,
-3147,-2368,-1654,-1020,-466,8,404,728,996,1219,1414,1595,1780,1988,2233,2523,2879,3297,3788,4348,
4969,5645,6358,7093,7826,8537,9199,9792,10290,10681,10953,11093,11104,10992,10760,10418,9979,9452,8853,8186,
7465,6700,5898,5068,4214,3349,2473,1592,714,-157,-1023,-1874,-2707,-3517,-4303,-5059,-5790,-6484,-7147,-7771,
-8356,-8897,-9386,-9822,-10202,-10516,-10759,-10925,-11006,-10994,-10876,-10652,-10317,-9871,-9316,-8662,-7922,-7117,-6266,-5387,
-4513,-3657,-2845,-2092,-1409,-809,-287,153,517,814,1063,1272,1457,1635,1825,2044,2305,2620,2998,3445,
3965,4548,5193,5885,6611,7347,8078,8773,9410,9971,10431,10777,10998,11089,11051,10892,10618,10235,9762,9205,
8578,7890,7151,6372,5558,4719,3861,2989,2111,1230,351,-516,-1374,-2218,-3041,-3841,-4616,-5359,-6076,-6760,
-7406,-8013,-8582,-9101,-9571,-9988,-10343,-10627,-10842,-10972,-11016,-10963,-10806,-10536,-10158,-9667,-9073,-8382,-7614,-6787,
-5924,-5043,-4172,-3333,-2540,-1815,-1163,-592,-103,308,644,921,1153,1351,1532,1716,1914,2150,2432,2770,
3177,3654,4199,4810,5474,6184,6917,7652,8372,9050,9659,10182,10600,10896,11067,11108,11024,10818,10497,10079,
9570,8986,8335,7624,6868,6075,5251,4404,3538,2666,1784,905,29,-833,-1687,-2521,-3335,-4127,-4889,-5623,
-6326,-6995,-7628,-8219,-8768,-9270,-9716,-10108,-10438,-10694,-10878,-10974,-10982,-10890,-10689,-10379,-9957,-9424,-8791,-8068,
-7276,-6434,-5560,-4681,-3823,-3000,-2231,-1536,-914,-377,79,460,774,1030,1248,1437,1616,1805,2019,2269,
2572,2936,3372,3876,4448,5081,5766,6486,7222,7954,8658,9310,9888,10368,10738,10986,11104,11090,10957,10702,
10343,9886,9345,8733,8056,7325,6554,5748,4913,4059,3190,2311,1430,552,-320,-1181,-2026,-2857,-3662,-4442,
-5193,-5915,-6608,-7263,-7880,-8457,-8988,-9472,-9896,-10265,-10569,-10796,-10950,-11013,-10984,-10851,-10608,-10255,-9791,-9218,
-8551,-7799,-6984,-6130,-5251,-4380,-3534,-2731,-1987,-1317,-730,-223,205,559,851,1088,1296,1481,1665,1859,
2085,2360,2685,3076,3541,4072,4670,5324,6023,6753,7492,8210,8899,9520,10062,10500,10821,11018,11084,11021,
10839,10541,10141,9647,9076,8436,7740,6991,6203,5384,4542,3681,2807,1927,1048,172,-697,-1550,-2393,-3210,
-4007,-4775,-5516,-6225,-6903,-7542,-8144,-8702,-9216,-9676,-10079,-10420,-10695,-10894,-11013,-11042,-10970,-10795,-10508,-10110,
-9605,-8992,-8289,-7510,-6676,-5809,-4930,-4063,-3233,-2451,-1733,-1096,-535,-61,339,667,939,1164,1360,1544,
1732,1937,2183,2475,2828,3249,3739,4297,4921,5593,6310,7045,7780,8490,9156,9749,10254,10646,10919,11065,
11082,10970,10744,10406,9968,9445,8845,8182,7465,6701,5902,5075,4225,3360,2483,1605,726,-145,-1010,-1861,
-2690,-3502,-4284,-5043,-5770,-6467,-7131,-7753,-8339,-8880,-9371,-9812,-10189,-10506,-10753,-10921,-11003,-10993,-10885,-10665,
-10336,-9893,-9343,-8694,-7958,-7155,-6304,-5431,-4555,-3697,-2885,-2126,-1438,-832,-305,139,507,814,1062,1277,
1465,1649,1841,2062,2323,2641,3018,3464,3983,4568,5212,5901,6627,7363,8093,8788,9428,9987,10451,10796,
11018,11111,11078,10918,10646,10265,9795,9238,8611,7925,7189,6407,5595,4758,3898,3029,2151,1270,391,-478,
-1336,-2183,-3005,-3805,-4581,-5328,-6045,-6730,-7380,-7989,-8556,-9080,-9553,-9969,-10326,-10617,-10833,-10971,-11019,-10971,
-10819,-10558,-10184,-9700,-9111,-8425,-7663,-6838,-5975,-5099,-4228,-3385,-2594,-1862,-1206,-629,-138,276,617,900,
1132,1334,1520,1703,1905,2140,2421,2760,3163,3639,4183,4793,5459,6164,6897,7634,8352,9027,9639,10162,
10579,10879,11050,11094,11009,10803,10487,10068,9563,8978,8325,7618,6863,6070,5248,4400,3536,2661,1779,899,
26,-843,-1696,-2531,-3348,-4139,-4904,-5638,-6344,-7015,-7649,-8244,-8796,-9298,-9752,-10144,-10476,-10739,-10926,-11028,
-11041,-10953,-10761,-10456,-10037,-9512,-8884,-8166,-7378,-6536,-5667,-4787,-3925,-3100,-2331,-1625,-1000,-455,8,392,
710,974,1191,1388,1572,1763,1976,2228,2535,2901,3332,3838,4408,5044,5729,6447,7183,7917,8619,9274,
9854,10339,10711,10959,11080,11072,10939,10688,10330,9877,9338,8725,8052,7327,6552,5748,4916,4063,3196,2315,
1436,556,-313,-1176,-2023,-2851,-3656,-4437,-5191,-5912,-6604,-7261,-7881,-8458,-8992,-9473,-9903,-10274,-10578,-10814,
-10966,-11035,-11009,-10880,-10644,-10297,-9833,-9268,-8603,-7856,-7043,-6184,-5309,-4434,-3582,-2776,-2031,-1355,-758,-245,
185,544,840,1085,1293,1484,1671,1867,2096,2368,2699,3090,3551,4082,4680,5337,6037,6764,7503,8228,
8914,9542,10086,10527,10854,11050,11121,11064,10880,10587,10187,9698,9131,8490,7794,7049,6265,5446,4606,3745,
2875,1992,1111,236,-633,-1492,-2331,-3152,-3946,-4718,-5460,-6171,-6848,-7493,-8098,-8657,-9172,-9635,-10041,-10386,
-10664,-10868,-10990,-11022,-10959,-10790,-10512,-10119,-9618,-9012,-8316,-7539,-6707,-5840,-4962,-4095,-3262,-2474,-1756,-1109,
-545,-63,338,673,947,1179,1378,1565,1755,1965,2211,2504,2856,3277,3766,4325,4945,5620,6334,7068,
7802,8515,9177,9772,10276,10674,10947,11093,11111,11003,10774,10437,10002,9477,8880,8216,7500,6737,5940,5109,
4260,3396,2518,1637,755,-118,-983,-1834,-2665,-3477,-4263,-5024,-5754,-6452,-7116,-7744,-8332,-8876,-9370,-9812,
-10197,-10517,-10765,-10938,-11026,-11021,-10917,-10704,-10381,-9949,-9404,-8759,-8030,-7230,-6382,-5507,-4631,-3775,-2956,-2196,
-1505,-890,-358,92,466,776,1033,1248,1440,1627,1822,2043,2306,2620,3000,3447,3960,4547,5189,5881,
6603,7339,8065,8760,9401,9963,10425,10776,11000,11096,11063,10910,10637,10262,9790,9238,8612,7924,7188,6415,
5602,4765,3909,3039,2161,1280,401,-467,-1328,-2172,-2997,-3799,-4572,-5321,-6039,-6724,-7375,-7988,-8556,-9082,
-9556,-9975,-10334,-10629,-10847,-10989,-11040,-10996,-10849,-10594,-10229,-9748,-9164,-8485,-7724,-6901,-6039,-5163,-4290,-3448,
-2649,-1915,-1254,-671,-172,247,595,882,1119,1323,1509,1698,1900,2136,2419,2757,3160,3635,4175,4786,
5448,6153,6882,7619,8337,9015,9625,10150,10569,10872,11047,11091,11010,10808,10494,10081,9574,8993,8343,7636,
6882,6093,5269,4424,3562,2687,1810,927,52,-815,-1669,-2508,-3321,-4115,-4879,-5613,-6320,-6989,-7626,-8224,
-8774,-9280,-9734,-10130,-10466,-10730,-10918,-11025,-11037,-10952,-10763,-10464,-10052,-9529,-8905,-8191,-7403,-6562,-5690,-4812,
-3948,-3123,-2348,-1641,-1012,-462,3,393,715,980,1201,1395,1580,1769,1983,2236,2536,2898,3329,3829,
4395,5028,5708,6429,7160,7894,8599,9255,9834,10322,10697,10952,11077,11074,10946,10701,10349,9899,9362,8754,
8082,7356,6585,5784,4950,4099,3234,2361,1479,599,-271,-1133,-1983,-2812,-3618,-4398,-5150,-5876,-6566,-7224,
-7843,-8423,-8955,-9442,-9872,-10244,-10552,-10787,-10942,-11015,-10988,-10864,-10628,-10283,-9827,-9263,-8600,-7856,-7044,-6186,
-5308,-4435,-3584,-2775,-2026,-1353,-754,-237,196,558,854,1098,1308,1494,1680,1873,2099,2368,2690,3078,
3537,4063,4657,5310,6007,6733,7471,8193,8884,9514,10059,10505,10835,11038,11115,11061,10887,10600,10206,9725,
9157,8522,7829,7081,6300,5484,4641,3783,2913,2036,1156,277,-589,-1447,-2290,-3110,-3906,-4678,-5419,-6133,
-6811,-7452,-8058,-8617,-9131,-9599,-10005,-10355,-10634,-10840,-10963,-10998,-10932,-10766,-10488,-10098,-9600,-8997,-8298,-7526,
-6693,-5826,-4945,-4080,-3245,-2460,-1738,-1093,-530,-46,357,692,962,1193,1391,1572,1759,1967,2206,2493,
2841,3256,3741,4297,4912,5585,6295,7029,7763,8475,9146,9745,10256,10660,10941,11096,11120,11019,10801,10471,
10039,9524,8929,8270,7553,6790,5994,5169,4318,3454,2579,1701,822,-53,-916,-1768,-2603,-3414,-4203,-4960,
-5692,-6392,-7058,-7682,-8272,-8814,-9309,-9752,-10139,-10462,-10714,-10888,-10976,-10975,-10870,-10661,-10340,-9904,-9365,-8723,
-7993,-7196,-6345,-5476,-4597,-3740,-2925,-2162,-1470,-858,-325,125,502,808,1062,1278,1468,1652,1842,2061,
2320,2630,3002,3444,3958,4537,5174,5865,6585,7323,8051,8749,9394,9960,10426,10785,11015,11119,11091,10942,
10678,10306,9840,9293,8671,7988,7254,6477,5665,4831,3972,3105,2224,1346,471,-401,-1261,-2106,-2935,-3737,
-4512,-5263,-5981,-6668,-7318,-7929,-8502,-9027,-9502,-9923,-10286,-10581,-10805,-10946,-11001,-10961,-10814,-10561,-10193,-9719,
-9136,-8459,-7700,-6879,-6018,-5140,-4270,-3427,-2628,-1892,-1231,-648,-148,271,617,902,1139,1344,1530,1712,
1911,2144,2419,2754,3151,3619,4158,4762,5423,6125,6856,7593,8310,8992,9608,10140,10567,10877,11057,11112,
11034,10839,10533,10123,9627,9048,8402,7697,6945,6155,5334,4489,3624,2752,1874,993,120,-749,-1602,-2439,
-3258,-4052,-4819,-5556,-6263,-6938,-7573,-8168,-8725,-9228,-9683,-10082,-10417,-10686,-10878,-10986,-11005,-10923,-10735,-10438,
-10028,-9510,-8889,-8176,-7391,-6555,-5684,-4805,-3946,-3117,-2345,-1635,-1003,-457,9,397,720,984,1205,1397,
1580,1767,1976,2223,2522,2880,3304,3800,4363,4991,5670,6386,7121,7853,8559,9216,9802,10295,10675,10933,
11065,11067,10942,10699,10352,9903,9371,8767,8098,7373,6604,5800,4966,4113,3242,2369,1486,607,-265,-1128,
-1976,-2805,-3615,-4397,-5151,-5879,-6574,-7235,-7857,-8437,-8973,-9459,-9889,-10264,-10577,-10815,-10975,-11048,-11029,-10911,
-10679,-10335,-9881,-9323,-8664,-7919,-7109,-6257,-5381,-4507,-3653,-2846,-2094,-1416,-817,-300,134,497,794,1040,
1248,1434,1621,1813,2042,2307,2627,3011,3464,3986,4578,5230,5927,6652,7391,8115,8805,9439,9992,10442,
10779,10991,11071,11023,10852,10567,10179,9698,9136,8505,7816,7074,6287,5475,4634,3775,2903,2025,1145,269,
-601,-1457,-2298,-3117,-3918,-4687,-5430,-6144,-6825,-7472,-8077,-8638,-9155,-9620,-10027,-10374,-10660,-10867,-10992,-11033,
-10972,-10809,-10535,-10146,-9651,-9048,-8354,-7581,-6752,-5888,-5008,-4140,-3302,-2515,-1793,-1143,-577,-94,316,650,
925,1153,1350,1534,1720,1923,2162,2450,2793,3202,3682,4234,4849,5517,6223,6959,7693,8406,9077,9681,
10197,10603,10892,11050,11081,10984,10765,10439,10011,9494,8902,8249,7532,6774,5976,5152,4306,3438,2561,1681,
798,-75,-939,-1795,-2626,-3439,-4227,-4987,-5721,-6420,-7089,-7719,-8313,-8858,-9354,-9798,-10183,-10506,-10759,-10941,
-11032,-11031,-10933,-10726,-10405,-9977,-9437,-8799,-8071,-7271,-6424,-5554,-4674,-3817,-2995,-2234,-1538,-920,-384,65,
445,752,1010,1223,1411,1595,1786,2002,2258,2569,2939,3377,3885,4462,5101,5787,6511,7248,7981,8679,
9331,9901,10378,10739,10980,11092,11074,10928,10667,10300,9839,9292,8675,7995,7265,6492,5683,4847,3993,3123,
2245,1367,5,-87,-701,-1392,-1761,-1730,-1194,-189,836,1630,2258,2777,3441,4397,5550,6743,7705,8149,
8199,8031,7796,7693,7699,7488,6883,5853,4383,2662,963,-622,-2106,-3478,-4769,-5973,-7089,-7985,-8626,-8999,
-9164,-9147,-9121,-9178,-9256,-9315,-9294,-9109,-8669,-8078,-7407,-6727,-6074,-5514,-4954,-4318,-3598,-2812,-1946,-1059,
-209,609,1460,2373,3371,4465,5585,6598,7407,8008,8383,8588,8700,8813,8889,8896,8760,8467,7951,7330,
6654,5983,5356,4766,4117,3326,2413,1411,402,-538,-1342,-2023,-2661,-3333,-4075,-4887,-5731,-6496,-7129,-7660,
-8072,-8421,-8736,-9072,-9330,-9474,-9443,-9184,-8718,-8124,-7495,-6855,-6210,-5557,-4853,-4051,-3168,-2262,-1372,-559,
148,783,1409,2065,2751,3471,4197,4857,5425,5897,6307,6715,7167,7663,8162,8582,8876,9017,9023,8950,
8839,8702,8535,8261,7801,7119,6260,5284,4274,3274,2329,1393,418,-646,-1799,-2975,-4082,-5052,-5854,-6508,
-7071,-7597,-8114,-8597,-8962,-9145,-9125,-8907,-8577,-8207,-7850,-7517,-7174,-6770,-6259,-5606,-4855,-4062,-3305,-2594,
-1899,-1177,-377,544,1561,2628,3648,4595,5440,6217,6963,7716,8467,9180,9778,10181,10361,10338,10166,9920,
9643,9324,8909,8331,7567,6631,5567,4504,3513,2595,1720,811,-166,-1243,-2382,-3512,-4543,-5461,-6245,-6963,
-7673,-8380,-9064,-9679,-10143,-10411,-10475,-10385,-10197,-9977,-9723,-9437,-9026,-8466,-7736,-6870,-5924,-4959,-4025,-3137,
-2265,-1386,-471,464,1376,2218,2980,3626,4200,4753,5316,5918,6537,7123,7611,7958,8158,8268,8314,8358,
8389,8376,8267,8008,7581,7021,6375,5709,5035,4337,3571,2687,1654,538,-618,-1713,-2699,-3574,-4355,-5116,
-5880,-6655,-7383,-8014,-8475,-8775,-8930,-8986,-9009,-9009,-8954,-8793,-8484,-8008,-7372,-6644,-5888,-5154,-4445,-3741,
-2988,-2149,-1224,-237,749,1684,2543,3335,4105,4881,5694,6520,7310,7990,8531,8930,9210,9437,9647,9856,
10016,10054,9917,9585,9065,8448,7774,7093,6403,5633,4751,3744,2603,1414,246,-833,-1819,-2746,-3669,-4618,
-5608,-6577,-7474,-8212,-8772,-9165,-9453,-9679,-9885,-10030,-10087,-9984,-9694,-9236,-8660,-8021,-7375,-6728,-6066,-5350,
-4527,-3605,-2634,-1640,-688,185,979,1722,2475,3250,4038,4794,5488,6066,6532,6901,7227,7554,7875,8169,
8393,8481,8400,8169,7840,7455,7052,6620,6131,5529,4781,3891,2918,1932,989,112,-724,-1570,-2456,-3401,
-4360,-5272,-6077,-6748,-7278,-7721,-8112,-8497,-8851,-9134,-9286,-9281,-9109,-8799,-8422,-8013,-7594,-7135,-6598,-5959,
-5196,-4331,-3441,-2551,-1700,-907,-116,695,1545,2442,3349,4215,4994,5673,6277,6840,7381,7954,8506,9001,
9357,9563,9613,9541,9397,9229,9026,8750,8344,7764,7014,6125,5171,4228,3320,2431,1509,516,-550,-1676,
-2794,-3831,-4733,-5514,-6200,-6861,-7506,-8140,-8733,-9196,-9480,-9585,-9519,-9356,-9133,-8878,-8573,-8192,-7666,-6996,
-6197,-5328,-4457,-3614,-2807,-2022,-1191,-313,625,1580,2500,3343,4088,4745,5348,5943,6548,7144,7690,8137,
8447,8617,8674,8669,8642,8592,8476,8257,7877,7322,6631,5852,5043,4249,3451,2620,1710,704,-392,-1493,
-2548,-3508,-4349,-5113,-5833,-6551,-7275,-7956,-8534,-8970,-9223,-9336,-9334,-9272,-9190,-9064,-8852,-8526,-8058,-7458,
-6783,-6070,-5375,-4697,-4017,-3293,-2500,-1639,-721,209,1093,1908,2665,3392,4121,4866,5633,6381,7049,7595,
8025,8341,8596,8822,9030,9197,9261,9166,8893,8450,7901,7293,6671,6037,5353,4555,3637,2602,1497,393,
-639,-1583,-2461,-3324,-4215,-5131,-6039,-6884,-7594,-8121,-8486,-8737,-8917,-9062,-9173,-9192,-9089,-8805,-8351,-7773,
-7126,-6470,-5825,-5167,-4460,-3660,-2750,-1770,-777,191,1082,1907,2682,3471,4288,5133,5962,6727,7382,7907,
8322,8668,8992,9305,9587,9774,9823,9693,9390,8966,8481,7977,7452,6872,6196,5373,4406,3343,2258,1210,
224,-709,-1625,-2590,-3605,-4636,-5631,-6507,-7237,-7815,-8271,-8663,-9026,-9361,-9625,-9754,-9709,-9493,-9128,-8678,
-8196,-7708,-7209,-6641,-5980,-5219,-4359,-3461,-2574,-1743,-965,-220,537,1333,2168,3029,3850,4594,5234,5784,
6299,6792,7297,7791,8231,8556,8723,8725,8600,8400,8157,7891,7570,7144,6564,5815,4935,3987,3041,2131,
1250,370,-569,-1596,-2677,-3757,-4777,-5672,-6424,-7068,-7656,-8244,-8811,-9338,-9762,-10021,-10083,-9979,-9761,-9493,
-9194,-8864,-8453,-7920,-7231,-6408,-5497,-4557,-3649,-2778,-1940,-1087,-172,799,1808,2801,3718,4525,5241,5886,
6534,7176,7838,8459,8976,9341,9547,9603,9575,9508,9411,9270,9022,8627,8035,7287,6439,5561,4703,3857,
3002,2082,1063,-53,-1202,-2307,-3312,-4184,-4950,-5657,-6354,-7063,-7758,-8352,-8811,-9080,-9174,-9143,-9046,-8920,
-8778,-8548,-8212,-7723,-7079,-6327,-5524,-4720,-3962,-3216,-2452,-1624,-724,229,1192,2109,2932,3670,4344,5004,
5677,6375,7057,7670,8163,8519,8743,8888,8996,9089,9156,9147,9000,8667,8175,7547,6861,6170,5477,4767,
3972,3056,2021,906,-222,-1289,-2259,-3130,-3947,-4780,-5629,-6493,-7301,-7990,-8511,-8845,-9047,-9175,-9271,-9342,
-9372,-9274,-9035,-8611,-8046,-7402,-6741,-6094,-5449,-4781,-4046,-3196,-2252,-1264,-311,599,1420,2183,2930,3710,
4532,5366,6154,6843,7398,7817,8153,8446,8736,9012,9217,9304,9204,8917,8473,7943,7389,6838,6254,5596,
4801,3849,2780,1657,571,-434,-1374,-2264,-3165,-4118,-5112,-6086,-6967,-7700,-8255,-8662,-8983,-9274,-9540,-9778,
-9914,-9883,-9668,-9278,-8778,-8232,-7684,-7141,-6567,-5904,-5128,-4245,-3284,-2324,-1409,-569,210,986,1793,2637,
3533,4394,5180,5860,6407,6879,7308,7733,8158,8548,8837,8976,8927,8733,8435,8094,7739,7372,6917,6343,
5598,4705,3721,2732,1773,883,19,-865,-1812,-2832,-3874,-4862,-5731,-6446,-7011,-7499,-7959,-8400,-8817,-9155,
-9355,-9352,-9174,-8857,-8465,-8050,-7633,-7179,-6648,-5999,-5206,-4320,-3390,-2491,-1633,-829,-39,779,1671,2612,
3565,4463,5280,5972,6573,7125,7694,8264,8833,9325,9681,9866,9886,9782,9630,9459,9260,8990,8601,8024,
7276,6391,5456,4532,3655,2787,1894,915,-151,-1301,-2436,-3491,-4408,-5189,-5884,-6537,-7192,-7847,-8451,-8922,
-9218,-9312,-9241,-9078,-8867,-8646,-8392,-8050,-7574,-6943,-6175,-5342,-4486,-3669,-2902,-2145,-1362,-498,424,1381,
2318,3168,3907,4561,5171,5778,6412,7065,7669,8173,8528,8734,8811,8815,8800,8779,8696,8516,8153,7612,
6915,6130,5318,4528,3753,2945,2045,1036,-74,-1222,-2332,-3330,-4216,-5015,-5773,-6548,-7340,-8110,-8784,-9310,
-9648,-9812,-9863,-9860,-9831,-9773,-9644,-9369,-8941,-8354,-7637,-6889,-6148,-5431,-4720,-3973,-3152,-2234,-1256,-274,
655,1505,2266,2985,3708,4462,5257,6040,6749,7347,7798,8136,8391,8630,8856,9048,9148,9095,8845,8421,
7869,7266,6658,6048,5384,4641,3747,2721,1608,486,-570,-1521,-2412,-3260,-4136,-5053,-5977,-6858,-7605,-8170,
-8574,-8841,-9039,-9218,-9379,-9466,-9435,-9218,-8822,-8276,-7635,-6990,-6341,-5707,-5017,-4241,-3351,-2374,-1356,-371,
548,1378,2154,2933,3735,4584,5447,6253,6959,7529,7976,8351,8700,9042,9365,9624,9750,9696,9456,9082,
8630,8149,7662,7138,6523,5760,4841,3804,2724,1659,667,-258,-1153,-2084,-3075,-4097,-5101,-6014,-6781,-7376,
-7855,-8245,-8619,-8982,-9289,-9501,-9552,-9410,-9104,-8689,-8233,-7769,-7292,-6775,-6178,-5441,-4598,-3695,-2785,-1918,
-1109,-347,398,1190,2036,2913,3772,4560,5243,5813,6313,6790,7273,7753,8215,8573,8774,8818,8719,8517,
8297,8044,7765,7400,6890,6214,5374,4447,3500,2583,1709,835,-78,-1066,-2127,-3220,-4264,-5198,-5984,-6651,
-7239,-7802,-8369,-8902,-9349,-9655,-9772,-9709,-9520,-9249,-8948,-8635,-8274,-7814,-7213,-6471,-5633,-4743,-3860,-3024,
-2223,-1416,-572,345,1308,2290,3216,4057,4786,5454,6067,6696,7338,7964,8517,8937,9190,9302,9301,9245,
9171,9054,8869,8552,8055,7390,6597,5750,4900,4070,3248,2380,1424,365,-758,-1872,-2910,-3838,-4642,-5373,
-6071,-6797,-7496,-8141,-8666,-9024,-9198,-9219,-9142,-9028,-8878,-8685,-8402,-7978,-7404,-6692,-5912,-5121,-4347,-3608,
-2867,-2087,-1244,-325,624,1541,2399,3160,3851,4507,5168,5856,6545,7201,7757,8191,8483,8675,8803,8917,
9002,9027,8941,8699,8277,7704,7039,6348,5656,4957,4198,3352,2376,1318,205,-858,-1846,-2741,-3572,-4383,
-5209,-6054,-6873,-7606,-8189,-8603,-8865,-9023,-9121,-9204,-9235,-9189,-8995,-8640,-8143,-7530,-6867,-6200,-5539,-4878,
-4152,-3346,-2457,-1507,-542,378,1218,1993,2740,3483,4264,5059,5848,6553,7149,7624,7996,8304,8591,8853,
9088,9217,9208,9015,8666,8209,7688,7153,6596,5973,5260,4399,3417,2350,1277,244,-711,-1616,-2511,-3436,
-4391,-5354,-6257,-7036,-7668,-8146,-8513,-8816,-9103,-9338,-9490,-9523,-9392,-9082,-8650,-8138,-7600,-7050,-6478,-5849,
-5136,-4312,-3417,-2476,-1567,-708,107,880,1658,2477,3313,4164,4962,5672,6281,6796,7238,7672,8096,8488,
8808,9011,9055,8948,8711,8403,8064,7690,7255,6716,6039,5220,4290,3302,2336,1394,494,-421,-1367,-2369,
-3404,-4421,-5350,-6157,-6830,-7400,-7901,-8375,-8818,-9207,-9467,-9574,-9512,-9303,-8995,-8621,-8220,-7785,-7286,-6686,
-5967,-5149,-4266,-3364,-2494,-1666,-864,-40,810,1712,2624,3521,4350,5091,5740,6337,6909,7480,8034,8546,
8954,9221,9336,9330,9235,9091,8902,8657,8319,7825,7165,6382,5508,4614,3723,2846,1957,1018,0,-1071,
-2164,-3198,-4139,-4974,-5697,-6369,-7020,-7650,-8232,-8730,-9086,-9271,-9307,-9212,-9059,-8858,-8613,-8291,-7871,-7312,
-6625,-5850,-5031,-4220,-3422,-2640,-1837,-999,-101,827,1759,2628,3435,4157,4827,5475,6118,6767,7382,7931,
8366,8675,8857,8957,9007,9017,8978,8848,8578,8156,7573,6892,6144,5384,4610,3803,2925,1955,906,-197,
-1303,-2334,-3272,-4139,-4961,-5755,-6543,-7312,-8014,-8590,-9010,-9279,-9427,-9485,-9501,-9464,-9357,-9140,-8774,-8274,
-7663,-6980,-6272,-5558,-4844,-4097,-3295,-2413,-1493,-537,396,1271,2090,2856,3610,4368,5132,5890,6598,7209,
7708,8096,8400,8657,8873,9047,9144,9109,8917,8578,8113,7560,6972,6351,5691,4947,4092,3129,2076,1006,
-39,-1035,-1962,-2865,-3759,-4670,-5580,-6439,-7200,-7835,-8310,-8667,-8943,-9155,-9321,-9411,-9389,-9225,-8916,-8451,
-7926,-7332,-6715,-6074,-5392,-4638,-3813,-2902,-1968,-1025,-124,732,1552,2351,3166,4002,4827,5624,6342,6961,
7495,7945,8338,8719,9056,9323,9484,9500,9370,9111,8749,8335,7885,7376,6784,6063,5234,4295,3287,2277,
1302,347,-581,-1536,-2513,-3508,-4500,-5414,-6220,-6903,-7474,-7963,-8402,-8798,-9130,-9366,-9450,-9390,-9180,-8861,
-8471,-8037,-7567,-7048,-6437,-5736,-4932,-4078,-3194,-2326,-1486,-679,138,967,1832,2708,3570,4376,5108,5753,
6344,6889,7422,7925,8389,8759,9017,9128,9102,8994,8809,8579,8283,7899,7393,6735,5949,5080,4164,3251,
2336,1417,468,-534,-1592,-2656,-3681,-4624,-5464,-6208,-6870,-7492,-8087,-8625,-9080,-9401,-9565,-9577,-9469,-9275,
-9033,-8732,-8359,-7892,-7312,-6623,-5839,-5007,-4167,-3341,-2517,-1685,-824,76,1012,1944,2831,3646,4398,5087,
5745,6381,7013,7609,8143,8561,8860,9028,9108,9116,9075,8985,8794,8478,8020,7419,6709,5929,5124,4309,
3474,2579,1616,576,-512,-1592,-2616,-3557,-4409,-5213,-5977,-6723,-7448,-8093,-8628,-9008,-9243,-9348,-9374,-9329,
-9230,-9058,-8787,-8391,-7860,-7224,-6514,-5768,-5028,-4280,-3510,-2694,-1823,-905,23,938,1800,2596,3347,4068,
4800,5533,6243,6904,7479,7951,8310,8586,8795,8970,9092,9140,9065,8850,8483,7983,7409,6786,6121,5428,
4662,3791,2835,1789,713,-332,-1330,-2262,-3155,-4026,-4907,-5782,-6601,-7335,-7934,-8394,-8726,-8970,-9152,-9281,
-9339,-9294,-9110,-8782,-8325,-7773,-7167,-6536,-5892,-5203,-4451,-3632,-2735,-1800,-873,28,875,1679,2476,3276,
4083,4890,5668,6371,6974,7484,7905,8278,8607,8907,9133,9266,9243,9076,8778,8378,7919,7425,6877,6243,
5501,4638,3673,2641,1602,596,-373,-1316,-2274,-3247,-4238,-5206,-6115,-6903,-7570,-8109,-8559,-8955,-9307,-9592,
-9781,-9837,-9733,-9484,-9120,-8683,-8208,-7696,-7135,-6503,-5769,-4951,-4061,-3168,-2279,-1428,-599,204,1039,1893,
2766,3612,4427,5134,5775,6325,6850,7343,7811,8231,8565,8780,8852,8790,8629,8404,8129,7799,7383,6857,
6196,5405,4515,3591,2666,1761,859,-68,-1043,-2052,-3088,-4083,-4993,-5789,-6486,-7098,-7655,-8181,-8667,-9059,
-9330,-9440,-9405,-9234,-8973,-8657,-8305,-7886,-7386,-6779,-6058,-5248,-4388,-3519,-2686,-1859,-1032,-188,707,1619,
2545,3435,4254,4993,5671,6307,6928,7536,8120,8640,9049,9327,9484,9527,9502,9428,9307,9104,8775,8293,
7675,6933,6119,5279,4431,3577,2677,1712,672,-427,-1516,-2557,-3509,-4359,-5142,-5890,-6614,-7315,-7964,-8494,
-8876,-9103,-9193,-9181,-9106,-8986,-8803,-8521,-8123,-7590,-6937,-6212,-5462,-4696,-3945,-3191,-2396,-1551,-643,278,
1184,2040,2821,3537,4222,4895,5582,6258,6882,7430,7862,8182,8396,8537,8642,8710,8703,8591,8331,7924,
7373,6726,6033,5330,4596,3807,2940,1969,921,-175,-1243,-2244,-3176,-4046,-4879,-5716,-6548,-7351,-8068,-8645,
-9078,-9367,-9539,-9659,-9723,-9730,-9648,-9440,-9082,-8590,-7988,-7332,-6646,-5968,-5263,-4509,-3681,-2787,-1834,-873,
51,915,1729,2511,3302,4093,4904,5693,6408,7034,7539,7957,8316,8630,8918,9149,9289,9293,9132,8820,
8409,7925,7405,6847,6229,5514,4674,3720,2697,1649,631,-324,-1245,-2144,-3065,-4014,-4950,-5834,-6614,-7252,
-7756,-8151,-8472,-8764,-8999,-9156,-9191,-9063,-8785,-8373,-7890,-7356,-6809,-6230,-5592,-4858,-4041,-3146,-2223,-1303,
-435,389,1181,1985,2806,3652,4494,5286,6001,6620,7144,7601,8035,8453,8838,9146,9343,9386,9279,9050,
8756,8402,8014,7560,7000,6316,5491,4555,3563,2583,1627,693,-236,-1205,-2211,-3250,-4268,-5206,-6030,-6720,
-7307,-7832,-8311,-8762,-9146,-9423,-9551,-9498,-9317,-9023,-8668,-8279,-7868,-7373,-6787,-6083,-5287,-4419,-3537,-2675,
-1853,-1052,-233,612,1501,2412,3304,4129,4857,5515,6114,6677,7238,7785,8287,8695,8969,9093,9101,9013,
8878,8696,8468,8132,7658,7039,6276,5422,4540,3659,2786,1910,979,-28,-1090,-2183,-3223,-4184,-5030,-5765,
-6453,-7105,-7736,-8333,-8834,-9207,-9408,-9446,-9369,-9212,-9013,-8768,-8457,-8047,-7503,-6826,-6057,-5251,-4435,-3636,
-2861,-2065,-1230,-339,602,1538,2430,3255,3991,4673,5328,5989,6648,7289,7849,8306,8620,8811,8903,8950,
8963,8921,8789,8532,8112,7546,6857,6107,5339,4567,3770,2911,1966,933,-160,-1252,-2285,-3225,-4085,-4884,
-5667,-6445,-7210,-7914,-8501,-8936,-9210,-9348,-9403,-9407,-9361,-9257,-9051,-8697,-8202,-7578,-6882,-6154,-5429,-4715,
-3973,-3173,-2307,-1378,-416,524,1406,2220,2977,3715,4462,5219,5975,6683,7309,7813,8202,8503,8752,8970,
9157,9265,9261,9100,8778,8324,7774,7185,6571,5923,5205,4385,3442,2414,1335,285,-709,-1632,-2522,-3395,
-4285,-5190,-6053,-6845,-7495,-7989,-8361,-8631,-8847,-9023,-9134,-9154,-9040,-8755,-8333,-7804,-7215,-6616,-5995,-5351,
-4644,-3842,-2958,-2017,-1070,-161,701,1507,2284,3079,3897,4721,5529,6267,6900,7431,7862,8255,8609,8943,
9222,9402,9451,9339,9070,8693,8271,7804,7301,6721,6033,5216,4274,3246,2209,1192,223,-717,-1660,-2629,
-3632,-4648,-5598,-6450,-7163,-7745,-8230,-8648,-9037,-9375,-9635,-9758,-9720,-9523,-9205,-8797,-8339,-7865,-7350,-6768,
-6087,-5294,-4425,-3521,-2619,-1759,-946,-143,672,1523,2396,3271,4109,4864,5513,6097,6621,7127,7618,8084,
8480,8758,8889,8875,8742,8541,8288,7995,7637,7175,6561,5815,4949,4026,3110,2199,1318,413,-543,-1552,
-2597,-3630,-4591,-5443,-6172,-6810,-7395,-7947,-8464,-8925,-9269,-9461,-9494,-9370,-9151,-8882,-8559,-8193,-7755,-7216,
-6549,-5776,-4926,-4055,-3207,-2390,-1580,-757,108,1022,1962,2865,3719,4489,5181,5819,6435,7054,7666,8222,
8690,9031,9234,9313,9311,9261,9168,9004,8741,8339,7780,7087,6290,5471,4632,3796,2927,1998,994,-83,
-1189,-2250,-3235,-4122,-4920,-5664,-6392,-7097,-7768,-8352,-8789,-9079,-9222,-9239,-9176,-9077,-8925,-8699,-8362,-7878,
-7277,-6575,-5818,-5053,-4297,-3551,-2775,-1935,-1054,-127,809,1707,2533,3288,4000,4691,5390,6082,6758,7360,
7866,8239,8504,8685,8820,8911,8955,8909,8732,8401,7921,7326,6671,5973,5271,4513,3692,2778,1763,692,
-388,-1424,-2381,-3278,-4127,-4971,-5807,-6626,-7382,-8034,-8533,-8890,-9127,-9274,-9367,-9415,-9373,-9230,-8957,-8520,
-7970,-7344,-6676,-5997,-5303,-4575,-3792,-2931,-2007,-1060,-121,767,1606,2401,3168,3956,4748,5536,6283,6940,
7495,7953,8314,8636,8920,9162,9333,9379,9287,9044,8660,8202,7687,7126,6521,5842,5050,4140,3140,2097,
1066,66,-879,-1800,-2722,-3657,-4603,-5523,-6353,-7069,-7644,-8106,-8477,-8790,-9052,-9250,-9342,-9300,-9100,-8764,
-8319,-7812,-7268,-6706,-6095,-5415,-4643,-3804,-2908,-1988,-1102,-255,550,1353,2156,2986,3816,4628,5383,6052,
6618,7123,7574,8003,8391,8734,8993,9112,9081,8930,8672,8348,7971,7538,7032,6406,5647,4781,3833,2850,
1881,943,4,-938,-1921,-2933,-3945,-4903,-5775,-6524,-7172,-7729,-8229,-8688,-9086,-9401,-9585,-9624,-9509,-9273,
-8953,-8583,-8162,-7692,-7142,-6492,-5739,-4909,-4042,-3170,-2311,-1485,-654,181,1064,1958,2850,3705,4501,5201,
5833,6426,7002,7557,8078,8519,8862,9066,9145,9121,9010,8855,8638,8335,7928,7378,6681,5890,5024,4147,
3272,2376,1455,482,-555,-1617,-2671,-3662,-4559,-5371,-6100,-6775,-7422,-8026,-8556,-8983,-9256,-9387,-9385,-9277,
-9106,-8878,-8593,-8214,-7727,-7122,-6423,-5642,-4843,-4038,-3237,-2438,-1607,-734,165,1092,1993,2843,3626,4340,
5028,5697,6349,6980,7563,8058,8435,8691,8857,8947,8979,8940,8843,8623,8281,7787,7171,6473,5728,4952,
4153,3304,2383,1384,330,-742,-1784,-2782,-3692,-4544,-5356,-6153,-6919,-7629,-8252,-8743,-9102,-9315,-9454,-9479,
-9464,-9368,-9178,-8876,-8441,-7882,-7241,-6534,-5826,-5086,-4324,-3534,-2687,-1783,-857,81,976,1828,2627,3397,
4146,4908,5651,6362,7008,7559,8015,8380,8664,8905,9089,9214,9235,9129,8880,8502,8016,7464,6860,6217,
5505,4705,3815,2839,1800,762,-246,-1219,-2149,-3057,-3963,-4853,-5720,-6512,-7205,-7776,-8219,-8563,-8830,-9027,
-9162,-9202,-9127,-8918,-8571,-8120,-7583,-7005,-6395,-5740,-5036,-4267,-3429,-2544,-1635,-735,137,966,1776,2578,
3389,4204,4984,5731,6401,6975,7474,7906,8291,8638,8920,9124,9214,9165,8987,8699,8330,7894,7397,6832,
6177,5405,4521,3568,2561,1565,575,-393,-1355,-2339,-3328,-4306,-5252,-6116,-6875,-7520,-8069,-8542,-8956,-9308,
-9578,-9723,-9738,-9614,-9364,-9018,-8611,-8145,-7629,-7043,-6376,-5632,-4810,-3934,-3059,-2193,-1344,-507,332,1178,
2048,2915,3748,4522,5225,5863,6448,6986,7495,7968,8368,8670,8862,8920,8876,8733,8525,8262,7912,7457,
6893,6197,5403,4536,3636,2737,1824,886,-73,-1079,-2107,-3119,-4083,-4959,-5747,-6457,-7102,-7691,-8239,-8708,
-9082,-9322,-9418,-9386,-9251,-9032,-8748,-8402,-7980,-7457,-6830,-6112,-5332,-4506,-3680,-2852,-2028,-1188,-311,591,
1488,2370,3219,4014,4739,5415,6071,6702,7300,7856,8324,8687,8941,9092,9151,9153,9082,8939,8684,8310,
7797,7170,6456,5677,4866,4028,3152,2218,1216,164,-895,-1935,-2922,-3841,-4696,-5500,-6268,-7001,-7674,-8271,
-8735,-9075,-9276,-9373,-9376,-9323,-9192,-8976,-8638,-8197,-7630,-6986,-6280,-5544,-4796,-4025,-3212,-2373,-1479,-561,
349,1241,2082,2874,3644,4382,5113,5826,6502,7116,7640,8067,8403,8666,8857,8997,9063,9039,8886,8598,
8187,7675,7087,6440,5756,5010,4187,3275,2297,1270,228,-784,-1751,-2677,-3573,-4460,-5318,-6143,-6902,-7563,
-8090,-8505,-8810,-9035,-9186,-9263,-9248,-9123,-8868,-8492,-8001,-7439,-6827,-6176,-5485,-4765,-3965,-3119,-2211,-1303,
-385,491,1333,2154,2961,3761,4565,5335,6065,6724,7299,7786,8212,8586,8903,9160,9338,9398,9330,9126,
8821,8417,7962,7441,6839,6155,5364,4473,3518,2519,1506,521,-448,-1409,-2371,-3347,-4309,-5224,-6069,-6800,
-7425,-7956,-8400,-8781,-9103,-9331,-9453,-9430,-9286,-9005,-8641,-8206,-7728,-7182,-6581,-5904,-5141,-4319,-3446,-2565,
-1698,-857,-25,812,1650,2504,3347,4161,4910,5590,6201,6751,7264,7734,8168,8534,8797,8943,8964,8870,
8688,8434,8115,7726,7235,6626,5903,5073,4182,3258,2326,1395,453,-527,-1530,-2553,-3558,-4515,-5388,-6156,
-6839,-7461,-8022,-8527,-8965,-9301,-9503,-9567,-9492,-9319,-9064,-8745,-8365,-7913,-7364,-6716,-5970,-5171,-4331,-3482,
-2651,-1808,-962,-91,818,1726,2617,3464,4254,4975,5658,6297,6922,7513,8048,8514,8859,9092,9210,9248,
9214,9117,8941,8673,8276,7751,7104,6358,5568,4745,3896,3018,2092,1100,61,-1003,-2032,-3003,-3900,-4725,
-5495,-6227,-6924,-7572,-8128,-8567,-8867,-9033,-9087,-9051,-8947,-8783,-8529,-8178,-7705,-7114,-6434,-5711,-4953,-4192,
-3411,-2604,-1767,-885,37,945,1837,2674,3444,4185,4908,5611,6302,6956,7547,8047,8437,8731,8949,9087,
9183,9209,9142,8947,8621,8159,7592,6952,6254,5527,4749,3904,2969,1966,912,-150,-1195,-2169,-3096,-3986,
-4849,-5704,-6522,-7275,-7933,-8455,-8854,-9130,-9322,-9445,-9499,-9467,-9332,-9060,-8661,-8144,-7550,-6916,-6255,-5560,
-4829,-4042,-3190,-2291,-1364,-452,422,1265,2066,2850,3638,4418,5190,5914,6555,7117,7579,7974,8306,8598,
8834,8994,9038,8955,8726,8383,7953,7458,6917,6305,5626,4834,3956,2978,1971,951,-24,-980,-1911,-2839,
-3766,-4702,-5593,-6406,-7111,-7690,-8168,-8550,-8860,-9121,-9303,-9380,-9328,-9129,-8811,-8381,-7888,-7350,-6778,-6144,
-5454,-4677,-3828,-2930,-2017,-1121,-267,575,1404,2238,3079,3926,4750,5514,6189,6791,7321,7802,8244,8654,
8993,9251,9375,9371,9234,8986,8689,8323,7899,7394,6769,6028,5173,4245,3287,2312,1372,426,-537,-1534,
-2544,-3562,-4518,-5401,-6177,-6837,-7424,-7953,-8431,-8848,-9170,-9373,-9429,-9340,-9129,-8841,-8495,-8093,-7636,-7095,
-6456,-5726,-4910,-4066,-3211,-2377,-1559,-739,91,957,1842,2722,3551,4322,5021,5652,6240,6807,7354,7860,
8286,8616,8818,8894,8863,8764,8605,8390,8078,7664,7114,6434,5646,4795,3925,3044,2152,1232,248,-784,
-1844,-2887,-3874,-4774,-5580,-6309,-6997,-7642,-8244,-8782,-9205,-9481,-9617,-9625,-9523,-9360,-9142,-8857,-8476,-7984,
-7376,-6677,-5895,-5087,-4291,-3491,-2677,-1837,-959,-47,895,1799,2657,3453,4182,4888,5571,6239,6894,7488,
8008,8400,8682,8873,8983,9033,9038,8957,8764,8443,7981,7388,6721,5990,5236,4457,3630,2728,1745,699,
-360,-1407,-2389,-3297,-4144,-4951,-5747,-6509,-7224,-7850,-8360,-8713,-8951,-9066,-9112,-9101,-9024,-8851,-8571,-8145,
-7606,-6977,-6293,-5585,-4860,-4118,-3344,-2507,-1619,-699,234,1126,1970,2767,3522,4269,5023,5764,6477,7112,
7663,8107,8459,8740,8965,9140,9262,9278,9169,8919,8537,8038,7481,6869,6214,5501,4709,3818,2836,1789,
739,-287,-1268,-2201,-3114,-4013,-4910,-5800,-6618,-7333,-7922,-8387,-8737,-9010,-9223,-9370,-9431,-9375,-9190,-8857,
-8408,-7882,-7297,-6702,-6065,-5374,-4621,-3788,-2905,-1989,-1073,-195,631,1446,2243,3051,3871,4672,5435,6120,
6710,7221,7662,8050,8413,8721,8955,9076,9059,8904,8633,8275,7847,7374,6838,6219,5474,4620,3674,2687,
1691,711,-236,-1170,-2121,-3096,-4070,-5019,-5884,-6650,-7296,-7831,-8293,-8698,-9051,-9329,-9502,-9535,-9425,-9172,
-8822,-8398,-7937,-7429,-6860,-6218,-5471,-4644,-3759,-2876,-1986,-1137,-298,530,1381,2252,3133,3978,4776,5491,
6125,6696,7225,7729,8206,8615,8944,9152,9216,9165,9013,8795,8525,8186,7760,7211,6530,5737,4855,3940,
3024,2107,1180,232,-764,-1788,-2830,-3819,-4734,-5542,-6251,-6892,-7486,-8033,-8529,-8931,-9203,-9332,-9320,-9185,
-8964,-8692,-8361,-7965,-7478,-6880,-6187,-5403,-4584,-3741,-2923,-2108,-1290,-436,445,1345,2250,3115,3921,4652,
5330,5963,6588,7183,7753,8248,8648,8914,9062,9120,9102,9026,8893,8668,8325,7847,7233,6512,5735,4908,
4079,3215,2316,1348,323,-740,-1796,-2811,-3747,-4592,-5384,-6138,-6856,-7533,-8140,-8645,-9012,-9232,-9328,-9323,
-9255,-9123,-8913,-8613,-8205,-7658,-7016,-6297,-5540,-4778,-3999,-3215,-2393,-1522,-610,321,1231,2100,2910,3671,
4392,5109,5810,6497,7137,7693,8141,8487,8731,8909,9034,9095,9083,8967,8713,8316,7796,7188,6524,5819,
5077,4275,3401,2437,1405,346,-701,-1702,-2642,-3533,-4394,-5243,-6065,-6843,-7543,-8128,-8574,-8894,-9119,-9256,
-9334,-9346,-9254,-9052,-8711,-8243,-7689,-7065,-6403,-5723,-5010,-4253,-3434,-2559,-1646,-723,183,1039,1856,2646,
3419,4199,4970,5718,6406,7002,7507,7928,8275,8580,8829,9017,9121,9093,8927,8636,8237,7756,7226,6638,
5992,5256,4405,3475,2470,1450,440,-541,-1485,-2416,-3353,-4285,-5205,-6060,-6829,-7483,-8013,-8439,-8793,-9083,
-9301,-9440,-9454,-9337,-9078,-8709,-8247,-7733,-7172,-6572,-5911,-5190,-4382,-3504,-2602,-1702,-814,31,861,1692,
2521,3368,4202,4986,5721,6365,6928,7428,7883,8311,8688,8977,9165,9229,9161,8976,8701,8368,7968,7491,
6923,6245,5450,4559,3612,2648,1693,742,-203,-1176,-2169,-3164,-4151,-5066,-5874,-6591,-7217,-7758,-8252,-8685,
-9044,-9293,-9405,-9385,-9240,-8966,-8635,-8249,-7810,-7291,-6690,-5994,-5229,-4395,-3537,-2675,-1835,-1003,-160,698,
1565,2451,3310,4119,4859,5536,6153,6739,7286,7806,8269,8643,8910,9047,9081,9024,8886,8685,8413,8043,
7557,6932,6202,5391,4532,3646,2749,1828,876,-122,-1166,-2204,-3214,-4158,-5016,-5788,-6510,-7181,-7800,-8360,
-8824,-9172,-9388,-9462,-9429,-9304,-9113,-8853,-8512,-8082,-7539,-6891,-6171,-5392,-4600,-3795,-2979,-2152,-1304,-410,
501,1409,2281,3105,3875,4600,5288,5960,6605,7213,7745,8194,8538,8777,8920,8996,9013,8953,8793,8523,
8123,7605,6978,6278,5531,4745,3921,3033,2081,1077,28,-1015,-2020,-2973,-3872,-4723,-5526,-6300,-7037,-7696,
-8253,-8690,-8996,-9189,-9287,-9302,-9243,-9104,-8860,-8507,-8032,-7458,-6809,-6114,-5387,-4646,-3863,-3049,-2183,-1286,
-373,535,1414,2239,3034,3801,4553,5290,6004,6671,7260,7762,8175,8502,8761,8956,9093,9146,9095,8907,
8594,8171,7643,7067,6422,5730,4960,4111,3174,2185,1153,132,-874,-1831,-2767,-3674,-4573,-5444,-6273,-7013,
-7651,-8179,-8586,-8904,-9151,-9310,-9391,-9368,-9227,-8967,-8581,-8093,-7544,-6949,-6305,-5621,-4880,-4077,-3219,-2328,
-1418,-530,336,1176,1999,2805,3617,4423,5190,5899,6539,7100,7589,8016,8396,8725,8979,9131,9178,9093,
8897,8592,8206,7764,7247,6642,5945,5147,4259,3313,2335,1358,389,-576,-1538,-2503,-3471,-4415,-5301,-6108,
-6805,-7419,-7942,-8382,-8761,-9059,-9261,-9347,-9297,-9128,-8853,-8484,-8055,-7559,-7007,-6382,-5679,-4899,-4069,-3203,
-2332,-1465,-615,234,1084,1945,2797,3638,4436,5179,5859,6467,7033,7563,8033,8457,8799,9035,9159,9166,
9080,8907,8659,8335,7923,7400,6770,6026,5202,4329,3418,2488,1542,577,-419,-1443,-2460,-3450,-4382,-5242,
-6015,-6717,-7352,-7936,-8446,-8870,-9177,-9368,-9419,-9365,-9207,-8976,-8667,-8286,-7810,-7252,-6599,-5873,-5091,-4277,
-3461,-2634,-1794,-940,-67,825,1710,2569,3381,4145,4865,5544,6183,6801,7365,7871,8292,8613,8832,8956,
8997,8968,8857,8658,8343,7914,7370,6728,6003,5228,4412,3553,2646,1694,690,-337,-1374,-2371,-3318,-4209,
-5043,-5837,-6579,-7262,-7887,-8404,-8811,-9088,-9253,-9329,-9302,-9199,-9015,-8736,-8343,-7847,-7258,-6593,-5875,-5133,
-4358,-3568,-2731,-1872,-971,-73,825,1696,2530,3322,4098,4832,5561,6242,6884,7454,7943,8336,8653,8887,
9063,9160,9172,9077,8866,8529,8082,7545,6934,6259,5524,4725,3861,2919,1917,897,-129,-1133,-2107,-3039,
-3943,-4821,-5669,-6462,-7173,-7783,-8289,-8677,-8966,-9170,-9299,-9330,-9274,-9094,-8795,-8393,-7890,-7319,-6706,-6037,
-5329,-4562,-3751,-2894,-1997,-1101,-217,649,1485,2310,3118,3911,4692,5437,6120,6736,7279,7746,8155,8497,
8784,8996,9112,9113,8995,8761,8426,8011,7522,6970,6330,5598,4780,3875,2919,1936,943,-31,-996,-1966,
-2922,-3877,-4793,-5655,-6435,-7107,-7687,-8189,-8602,-8937,-9194,-9354,-9394,-9315,-9106,-8800,-8401,-7939,-7418,-6838,
-6184,-5464,-4668,-3832,-2963,-2084,-1220,-364,487,1345,2200,3045,3870,4653,5382,6042,6649,7198,7702,8154,
8545,8861,9071,9168,9149,9030,8828,8549,8183,7740,7187,6532,5768,4923,4031,3109,2172,1222,254,-739,
-1749,-2755,-3734,-4640,-5477,-6229,-6904,-7514,-8064,-8544,-8931,-9200,-9352,-9382,-9283,-9096,-8830,-8493,-8085,-7585,
-6996,-6329,-5578,-4780,-3953,-3127,-2293,-1446,-592,278,1172,2053,2901,3707,4453,5163,5822,6449,7045,7589,
8068,8463,8750,8933,9022,9026,8958,8810,8570,8231,7759,7173,6499,5740,4931,4100,3208,2296,1326,313,
-724,-1758,-2758,-3692,-4565,-5384,-6153,-6877,-7540,-8127,-8622,-8988,-9239,-9361,-9397,-9339,-9208,-8986,-8676,-8258,
-7732,-7119,-6431,-5698,-4936,-4153,-3348,-2514,-1630,-740,172,1063,1934,2760,3538,4293,5022,5724,6398,7020,
7566,8032,8398,8673,8881,9015,9081,9064,8929,8683,8317,7828,7256,6615,5916,5167,4355,3469,2522,1515,
481,-551,-1546,-2497,-3412,-4298,-5142,-5971,-6736,-7422,-7996,-8465,-8817,-9057,-9224,-9310,-9315,-9212,-9003,-8668,
-8228,-7692,-7086,-6443,-5753,-5027,-4262,-3431,-2561,-1661,-753,142,999,1834,2641,3442,4229,5000,5738,6423,
7008,7543,7979,8345,8670,8919,9116,9208,9183,9024,8764,8385,7930,7404,6816,6156,5409,4568,3648,2666,
1670,662,-317,-1276,-2224,-3171,-4101,-5008,-5857,-6621,-7279,-7828,-8284,-8660,-8962,-9191,-9326,-9348,-9233,-8997,
-8644,-8215,-7713,-7167,-6560,-5899,-5165,-4360,-3497,-2614,-1725,-851,8,845,1680,2528,3366,4190,4971,5691,
6327,6901,7421,7892,8318,8685,8972,9159,9223,9165,8994,8746,8419,8026,7546,6982,6294,5507,4634,3706,
2753,1802,839,-119,-1101,-2100,-3098,-4070,-4973,-5795,-6527,-7161,-7731,-8238,-8674,-9036,-9283,-9410,-9398,-9264,
-9031,-8722,-8345,-7912,-7398,-6797,-6112,-5340,-4523,-3684,-2838,-1989,-1157,-306,560,1437,2318,3162,3979,4719,
5399,6033,6631,7189,7719,8179,8557,8817,8970,9008,8968,8855,8668,8395,8032,7548,6944,6234,5438,4604,
3734,2845,1927,967,-35,-1064,-2100,-3102,-4044,-4900,-5687,-6413,-7100,-7726,-8286,-8760,-9114,-9329,-9419,-9399,
-9292,-9116,-8862,-8527,-8099,-7560,-6923,-6206,-5440,-4653,-3854,-3043,-2217,-1354,-456,454,1357,2227,3055,3829,
4550,5251,5930,6587,7194,7737,8187,8536,8778,8937,9030,9052,8999,8844,8579,8190,7670,7052,6364,5629,
4855,4033,3146,2201,1197,150,-893,-1898,-2847,-3745,-4603,-5416,-6199,-6950,-7609,-8176,-8619,-8933,-9140,-9251,
-9279,-9243,-9116,-8888,-8540,-8078,-7512,-6874,-6184,-5475,-4737,-3959,-3144,-2275,-1380,-461,438,1319,2138,2937,
3705,4461,5204,5925,6603,7193,7699,8117,8445,8715,8928,9071,9140,9095,8913,8615,8200,7692,7116,6489,
5808,5057,4209,3281,2299,1270,247,-751,-1715,-2641,-3554,-4458,-5332,-6167,-6921,-7571,-8099,-8512,-8838,-9090,
-9265,-9359,-9349,-9227,-8968,-8594,-8113,-7581,-6987,-6365,-5688,-4964,-4167,-3304,-2414,-1510,-616,248,1079,1895,
2708,3526,4335,5108,5826,6469,7029,7512,7943,8324,8659,8915,9089,9138,9062,8863,8564,8182,7747,7241,
6651,5969,5180,4295,3350,2384,1394,444,-522,-1468,-2441,-3413,-4375,-5272,-6086,-6796,-7409,-7929,-8377,-8768,
-9085,-9304,-9411,-9377,-9219,-8938,-8571,-8146,-7664,-7132,-6523,-5830,-5063,-4230,-3356,-2479,-1614,-773,60,916,
1764,2632,3487,4296,5051,5729,6338,6902,7435,7918,8358,8717,8979,9115,9127,9042,8876,8631,8330,7938,
7436,6822,6090,5270,4396,3481,2565,1637,687,-291,-1305,-2328,-3325,-4274,-5131,-5908,-6597,-7235,-7813,-8333,
-8771,-9107,-9317,-9384,-9326,-9172,-8944,-8644,-8275,-7835,-7289,-6649,-5925,-5140,-4327,-3500,-2670,-1840,-1003,-133,
754,1653,2525,3350,4129,4843,5503,6146,6758,7336,7858,8296,8631,8854,8969,9005,8967,8865,8680,8391,
7986,7459,6804,6071,5291,4472,3619,2728,1793,797,-233,-1282,-2298,-3272,-4162,-4995,-5777,-6515,-7212,-7852,
-8396,-8828,-9129,-9304,-9376,-9348,-9249,-9086,-8829,-8471,-7999,-7424,-6763,-6040,-5291,-4529,-3741,-2931,-2080,-1191,
-286,628,1518,2362,3153,3916,4646,5362,6057,6707,7306,7813,8223,8532,8758,8923,9023,9047,8984,8803,
8487,8048,7506,6890,6210,5490,4714,3880,2960,1986,953,-84,-1100,-2069,-2998,-3879,-4746,-5579,-6377,-7105,
-7744,-8265,-8659,-8938,-9136,-9258,-9292,-9249,-9095,-8831,-8437,-7929,-7354,-6717,-6045,-5341,-4599,-3806,-2963,-2066,
-1152,-250,638,1479,2296,3087,3873,4659,5409,6116,6762,7321,7791,8187,8525,8805,9024,9158,9199,9108,
8888,8549,8119,7624,7065,6440,5744,4947,4065,3110,2104,1098,112,-866,-1816,-2751,-3687,-4613,-5493,-6303,
-7011,-7615,-8120,-8517,-8845,-9114,-9294,-9373,-9333,-9160,-8868,-8467,-7999,-7481,-6907,-6278,-5591,-4823,-3999,-3128,
-2241,-1358,-494,347,1182,2017,2848,3677,4477,5228,5913,6512,7052,7543,7982,8374,8699,8935,9059,9061,
8949,8733,8433,8069,7641,7114,6488,5756,4924,4027,3093,2130,1178,217,-742,-1737,-2729,-3705,-4644,-5508,
-6280,-6962,-7560,-8091,-8557,-8941,-9243,-9427,-9490,-9409,-9225,-8944,-8593,-8174,-7687,-7132,-6488,-5752,-4957,-4115,
-3271,-2417,-1564,-714,144,1017,1892,2768,3601,4388,5108,5777,6391,6978,7513,8005,8428,8752,8962,9073,
9066,8989,8826,8591,8269,7843,7300,6649,5887,5076,4216,3331,2421,1483,506,-503,-1529,-2544,-3508,-4411,
-5230,-5997,-6690,-7335,-7921,-8434,-8833,-9115,-9270,-9311,-9240,-9088,-8858,-8559,-8171,-7681,-7094,-6424,-5688,-4910,
-4110,-3301,-2476,-1633,-759,128,1026,1909,2759,3561,4309,5023,5707,6361,6983,7545,8037,8433,8731,8935,
9049,9092,9058,8943,8730,8397,7940,7381,6722,6008,5236,4418,3560,2638,1669,651,-392,-1412,-2399,-3335,
-4212,-5044,-5851,-6597,-7299,-7907,-8415,-8798,-9066,-9229,-9301,-9289,-9191,-9009,-8720,-8316,-7812,-7217,-6556,-5860,
-5120,-4365,-3562,-2724,-1845,-941,-38,847,1710,2529,3318,4089,4828,5560,6249,6874,7441,7891,8283,8588,
8824,8990,9091,9084,8973,8738,8386,7922,7386,6780,6115,5378,4576,3692,2740,1743,722,-288,-1267,-2223,
-3148,-4055,-4938,-5784,-6567,-7255,-7842,-8321,-8701,-8984,-9192,-9310,-9347,-9263,-9063,-8748,-8330,-7820,-7263,-6638,
-5983,-5264,-4492,-3664,-2796,-1896,-1005,-118,734,1572,2397,3215,4012,4797,5536,6214,6817,7346,7812,8223,
8564,8849,9052,9146,9133,8991,8752,8415,7993,7504,6944,6289,5542,4704,3801,2849,1868,892,-79,-1055,
-2025,-2996,-3950,-4860,-5703,-6473,-7141,-7720,-8213,-8637,-8981,-9230,-9375,-9409,-9311,-9105,-8793,-8414,-7952,-7435,
-6845,-6185,-5454,-4659,-3822,-2966,-2103,-1242,-381,472,1327,2184,3022,3840,4610,5329,5984,6586,7131,7638,
8089,8469,8762,8951,9036,9010,8885,8688,8401,8032,7565,6994,6329,5563,4731,3850,2934,1997,1043,62,
-936,-1938,-2941,-3887,-4782,-5598,-6341,-7026,-7633,-8174,-8637,-8995,-9249,-9378,-9390,-9296,-9114,-8842,-8496,-8062,
-7546,-6945,-6258,-5517,-4723,-3901,-3064,-2226,-1360,-487,398,1280,2154,3000,3808,4557,5281,5942,6577,7160,
7698,8161,8544,8817,9008,9097,9110,9033,8876,8615,8256,7775,7189,6525,5779,4981,4134,3254,2317,1342,
326,-691,-1705,-2686,-3616,-4495,-5306,-6078,-6799,-7447,-8016,-8486,-8841,-9075,-9209,-9241,-9193,-9045,-8813,-8484,
-8049,-7522,-6913,-6241,-5526,-4760,-3978,-3165,-2321,-1457,-558,333,1201,2067,2882,3669,4417,5145,5839,6503,
7096,7626,8072,8429,8714,8911,9047,9094,9042,8888,8625,8247,7770,7194,6556,5859,5094,4257,3359,2406,
1408,393,-619,-1606,-2561,-3487,-4381,-5237,-6050,-6796,-7461,-8019,-8471,-8831,-9090,-9257,-9340,-9329,-9209,-8980,
-8634,-8198,-7679,-7090,-6448,-5756,-5023,-4237,-3403,-2533,-1647,-754,119,986,1822,2644,3450,4241,4992,5716,
6370,6957,7476,7932,8313,8633,8882,9043,9108,9061,8897,8628,8268,7833,7303,6705,6024,5256,4403,3486,
2527,1547,562,-414,-1387,-2351,-3301,-4236,-5116,-5934,-6672,-7319,-7864,-8336,-8718,-9021,-9231,-9330,-9318,-9189,
-8943,-8607,-8187,-7706,-7148,-6531,-5841,-5093,-4284,-3440,-2578,-1707,-844,22,880,1728,2583,3412,4212,4962,
5660,6299,6887,7415,7902,8316,8665,8919,9071,9119,9072,8916,8673,8361,7953,7447,6839,6142,5355,4501,
3604,2683,1726,767,-235,-1230,-2228,-3208,-4143,-5017,-5812,-6534,-7193,-7779,-8289,-8713,-9046,-9256,-9354,-9326,
-9205,-8994,-8700,-8310,-7862,-7315,-6694,-5992,-5232,-4436,-3621,-2778,-1934,-1075,-195,684,1557,2423,3244,4034,
4772,5460,6119,6737,7305,7808,8241,8583,8839,8982,9046,9024,8918,8719,8421,8026,7516,6893,6197,5435,
4616,3752,2845,1904,922,-96,-1113,-2114,-3078,-3991,-4852,-5650,-6397,-7091,-7717,-8253,-8685,-9002,-9208,-9299,
-9297,-9212,-9038,-8766,-8406,-7940,-7384,-6752,-6053,-5311,-4546,-3748,-2923,-2063,-1182,-288,606,1485,2320,3149,
3908,4656,5378,6056,6707,7283,7786,8210,8541,8795,8977,9070,9091,9012,8818,8515,8106,7587,6992,6324,
5589,4814,3955,3038,2073,1061,44,-970,-1945,-2889,-3797,-4684,-5511,-6305,-7025,-7660,-8194,-8612,-8924,-9151,
-9280,-9325,-9276,-9129,-8867,-8493,-8014,-7473,-6857,-6196,-5493,-4745,-3940,-3102,-2221,-1339,-444,433,1290,2116,
2920,3718,4496,5241,5940,6580,7141,7634,8045,8396,8689,8905,9035,9070,8986,8777,8467,8066,7590,7038,
6406,5706,4909,4043,3101,2125,1131,145,-835,-1792,-2749,-3690,-4610,-5480,-6274,-6987,-7605,-8121,-8545,-8896,
-9166,-9349,-9417,-9372,-9207,-8930,-8555,-8105,-7591,-7024,-6386,-5682,-4922,-4106,-3239,-2362,-1482,-618,242,1097,
1950,2790,3621,4419,5170,5848,6472,7036,7543,7997,8393,8718,8955,9079,9095,9006,8813,8538,8185,7752,
7229,6598,5876,5059,4183,3254,2310,1360,397,-584,-1579,-2567,-3544,-4474,-5331,-6113,-6808,-7423,-7973,-8453,
-8848,-9148,-9343,-9399,-9340,-9175,-8917,-8590,-8176,-7701,-7142,-6500,-5777,-4992,-4173,-3335,-2486,-1634,-779,84,
962,1837,2704,3523,4307,5025,5700,6328,6916,7462,7954,8359,8684,8900,9007,9027,8961,8812,8585,8257,
7827,7290,6643,5902,5107,4257,3382,2468,1520,538,-470,-1498,-2504,-3461,-4370,-5206,-5980,-6693,-7345,-7947,
-8455,-8863,-9156,-9324,-9375,-9327,-9196,-8989,-8691,-8310,-7827,-7246,-6587,-5865,-5092,-4309,-3499,-2666,-1819,-939,
-43,856,1741,2582,3383,4152,4877,5578,6244,6871,7441,7935,8326,8637,8848,8989,9050,9033,8928,8724,
8392,7944,7398,6765,6054,5299,4493,3643,2717,1750,739,-295,-1311,-2292,-3223,-4104,-4958,-5765,-6521,-7225,
-7844,-8354,-8736,-9016,-9192,-9280,-9282,-9198,-9021,-8737,-8342,-7845,-7256,-6612,-5913,-5190,-4431,-3635,-2796,-1918,
-1008,-117,776,1626,2448,3240,4013,4770,5502,6196,6827,7374,7844,8229,8544,8790,8971,9068,9079,8964,
8739,8383,7947,7425,6823,6169,5438,4638,3750,2805,1797,784,-224,-1195,-2161,-3087,-4008,-4891,-5750,-6537,
-7236,-7825,-8319,-8703,-9005,-9226,-9374,-9418,-9348,-9156,-8860,-8447,-7954,-7400,-6798,-6143,-5433,-4666,-3848,-2969,
-2078,-1184,-309,542,1380,2213,3029,3839,4633,5376,6056,6663,7195,7665,8084,8439,8741,8960,9069,9054,
8923,8693,8370,7971,7502,6956,6318,5582,4753,3853,2912,1936,972,10,-952,-1918,-2887,-3847,-4760,-5612,
-6373,-7038,-7619,-8119,-8555,-8907,-9167,-9329,-9367,-9271,-9068,-8766,-8388,-7943,-7429,-6848,-6203,-5469,-4674,-3833,
-2976,-2100,-1240,-394,454,1327,2187,3045,3873,4650,5371,6032,6631,7183,7698,8159,8559,8866,9059,9156,
9130,9012,8820,8541,8189,7739,7179,6518,5758,4924,4039,3127,2201,1263,289,-708,-1725,-2731,-3690,-4598,
-5412,-6173,-6849,-7464,-8012,-8498,-8877,-9149,-9296,-9325,-9237,-9054,-8799,-8472,-8065,-7565,-6980,-6304,-5561,-4771,
-3952,-3129,-2289,-1448,-584,292,1184,2067,2923,3722,4475,5181,5839,6471,7066,7609,8093,8478,8757,8941,
9023,9035,8971,8818,8576,8229,7757,7182,6509,5761,4966,4126,3257,2344,1375,370,-660,-1679,-2671,-3605,
-4477,-5295,-6063,-6780,-7441,-8031,-8520,-8897,-9141,-9275,-9314,-9260,-9130,-8919,-8612,-8198,-7686,-7076,-6408,-5676,
-4923,-4147,-3345,-2509,-1644,-748,163,1050,1915,2737,3526,4266,4993,5696,6367,6982,7531,7992,8355,8634,
8835,8971,9037,9005,8887,8636,8267,7794,7218,6587,5893,5139,4331,3453,2510,1516,490,-527,-1518,-2471,
-3386,-4264,-5124,-5938,-6702,-7383,-7963,-8425,-8787,-9037,-9206,-9292,-9289,-9200,-8992,-8666,-8238,-7703,-7113,-6466,
-5788,-5071,-4300,-3480,-2619,-1724,-819,74,938,1777,2592,3390,4175,4945,5679,6347,6953,7476,7916,8298,
8611,8861,9044,9126,9100,8947,8685,8322,7875,7341,6762,6092,5360,4519,3615,2645,1658,659,-317,-1281,
-2231,-3184,-4108,-5001,-5835,-6604,-7251,-7826,-8285,-8670,-8967,-9191,-9312,-9330,-9222,-8989,-8663,-8243,-7753,-7200,
-6596,-5937,-5209,-4417,-3576,-2701,-1821,-951,-84,758,1597,2440,3272,4084,4853,5567,6219,6804,7320,7796,
8207,8566,8839,9020,9084,9043,8885,8643,8313,7918,7435,6857,6182,5414,4565,3657,2722,1764,810,-161,
-1145,-2122,-3101,-4055,-4951,-5769,-6505,-7156,-7725,-8227,-8659,-9008,-9245,-9369,-9375,-9259,-9043,-8739,-8362,-7918,
-7396,-6803,-6124,-5378,-4571,-3736,-2893,-2045,-1190,-344,523,1394,2258,3110,3916,4666,5370,6010,6615,7172,
7685,8142,8509,8776,8947,9014,8981,8867,8672,8393,8019,7535,6945,6264,5485,4656,3780,2890,1960,1006,
8,-999,-2014,-2996,-3931,-4803,-5605,-6333,-7017,-7633,-8184,-8638,-8988,-9225,-9332,-9329,-9241,-9050,-8795,-8448,
-8018,-7488,-6873,-6171,-5425,-4642,-3838,-3012,-2177,-1315,-436,459,1345,2211,3046,3829,4576,5275,5951,6586,
7180,7705,8147,8499,8758,8919,9008,9023,8955,8784,8516,8125,7626,7030,6348,5611,4823,3984,3093,2148,
1165,141,-882,-1877,-2834,-3749,-4617,-5439,-6213,-6938,-7589,-8148,-8592,-8932,-9154,-9281,-9316,-9266,-9134,-8905,
-8557,-8104,-7570,-6958,-6282,-5568,-4828,-4042,-3225,-2369,-1488,-585,307,1178,2014,2823,3607,4373,5105,5807,
6466,7058,7568,7998,8355,8635,8832,8971,9013,8958,8789,8500,8111,7627,7061,6432,5735,4961,4127,3209,
2245,1245,246,-757,-1725,-2672,-3588,-4482,-5348,-6146,-6886,-7532,-8070,-8510,-8850,-9115,-9287,-9359,-9331,-9205,
-8957,-8603,-8154,-7635,-7047,-6407,-5709,-4981,-4176,-3335,-2456,-1571,-682,191,1049,1891,2714,3531,4324,5086,
5787,6439,7020,7525,7969,8354,8672,8916,9061,9110,9047,8873,8590,8235,7785,7258,6648,5951,5169,4312,
3391,2438,1463,488,-485,-1466,-2429,-3386,-4318,-5185,-5991,-6706,-7343,-7894,-8358,-8739,-9041,-9238,-9325,-9307,
-9166,-8923,-8583,-8166,-7683,-7134,-6499,-5817,-5056,-4247,-3403,-2534,-1676,-809,55,911,1763,2611,3437,4237,
4979,5669,6309,6891,7422,7889,8303,8637,8879,9020,9058,8995,8839,8593,8268,7850,7336,6719,6016,5227,
4368,3476,2547,1598,633,-359,-1357,-2344,-3317,-4241,-5113,-5903,-6617,-7271,-7847,-8351,-8765,-9081,-9287,-9371,
-9342,-9213,-9001,-8690,-8312,-7843,-7296,-6661,-5961,-5201,-4408,-3581,-2739,-1885,-1022,-145,741,1620,2476,3309,
4096,4837,5537,6189,6805,7363,7863,8290,8629,8873,9020,9073,9045,8935,8731,8416,8008,7492,6875,6170,
5410,4590,3725,2808,1866,882,-128,-1138,-2139,-3088,-3995,-4856,-5655,-6404,-7089,-7706,-8222,-8641,-8946,-9149,
-9243,-9245,-9152,-8968,-8690,-8316,-7842,-7289,-6655,-5960,-5228,-4449,-3648,-2814,-1954,-1072,-183,711,1586,2428,
3240,4017,4769,5487,6166,6793,7360,7852,8260,8593,8843,9012,9094,9100,8995,8795,8465,8048,7534,6938,
6264,5522,4728,3863,2938,1961,965,-44,-1042,-2021,-2968,-3879,-4760,-5599,-6371,-7077,-7691,-8210,-8621,-8940,
-9164,-9304,-9329,-9265,-9097,-8821,-8439,-7973,-7425,-6821,-6155,-5440,-4678,-3870,-3021,-2151,-1265,-383,492,1349,
2190,3005,3807,4583,5316,6006,6626,7190,7684,8106,8457,8747,8952,9059,9069,8973,8769,8459,8066,7589,
7026,6384,5659,4854,3988,3059,2102,1121,136,-836,-1813,-2779,-3710,-4612,-5467,-6237,-6939,-7544,-8076,-8506,
-8854,-9108,-9273,-9321,-9254,-9081,-8810,-8445,-8005,-7482,-6905,-6253,-5534,-4761,-3947,-3100,-2238,-1364,-496,370,
1235,2085,2926,3731,4507,5248,5928,6550,7115,7625,8073,8455,8752,8962,9072,9076,8986,8796,8522,8149,
7689,7136,6497,5755,4949,4076,3166,2225,1258,271,-712,-1713,-2697,-3653,-4557,-5401,-6186,-6885,-7510,-8073,
-8539,-8912,-9194,-9360,-9414,-9357,-9197,-8958,-8622,-8206,-7699,-7126,-6474,-5755,-4980,-4172,-3351,-2497,-1639,-768,
104,982,1851,2697,3500,4278,5004,5688,6323,6913,7444,7919,8301,8608,8817,8928,8956,8892,8745,8502,
8153,7705,7155,6511,5794,5006,4168,3291,2365,1403,416,-589,-1590,-2566,-3508,-4395,-5231,-6012,-6728,-7385,
-7958,-8442,-8823,-9086,-9246,-9307,-9264,-9133,-8912,-8601,-8192,-7683,-7094,-6441,-5725,-4976,-4185,-3376,-2530,-1658,
-766,124,1010,1880,2704,3513,4284,5025,5735,6397,7010,7554,8021,8411,8711,8939,9081,9142,9110,8978,
8736,8388,7936,7390,6771,6074,5313,4495,3608,2671,1687,679,-328,-1318,-2298,-3232,-4131,-4997,-5811,-6571,
-7247,-7836,-8323,-8706,-8988,-9185,-9281,-9290,-9190,-8989,-8679,-8274,-7778,-7212,-6587,-5906,-5182,-4406,-3584,-2737,
-1857,-970,-93,769,1609,2438,3254,4027,4791,5510,6175,6772,7303,7767,8165,8481,8738,8910,8985,8954,
8815,8570,8230,7789,7276,6693,6018,5261,4429,3533,2593,1615,628,-356,-1329,-2294,-3250,-4173,-5058,-5890,
-6644,-7305,-7880,-8364,-8769,-9079,-9294,-9416,-9437,-9333,-9119,-8808,-8403,-7921,-7385,-6775,-6106,-5371,-4578,-3741,
-2883,-2011,-1129,-261,599,1458,2316,3147,3956,4725,5447,6113,6710,7256,7752,8182,8538,8818,9000,9089,
9058,8930,8713,8406,8018,7542,6960,6300,5548,4711,3830,2906,1964,999,22,-954,-1938,-2919,-3865,-4747,
-5562,-6315,-6984,-7568,-8086,-8531,-8870,-9114,-9239,-9251,-9154,-8958,-8671,-8307,-7871,-7354,-6755,-6078,-5340,-4556,
-3727,-2889,-2046,-1189,-329,545,1422,2280,3125,3924,4675,5384,6043,6654,7218,7734,8184,8545,8812,8986,
9057,9040,8935,8746,8470,8091,7604,7015,6343,5578,4763,3896,2993,2065,1088,97,-921,-1927,-2906,-3848,
-4723,-5536,-6291,-6982,-7617,-8175,-8634,-8989,-9235,-9350,-9373,-9303,-9136,-8890,-8552,-8127,-7599,-6990,-6308,-5577,
-4801,-4004,-3185,-2342,-1475,-585,307,1195,2055,2883,3677,4430,5144,5833,6482,7068,7608,8049,8415,8684,
8866,8989,9003,8950,8788,8524,8141,7653,7074,6417,5698,4922,4094,3210,2269,1290,281,-731,-1723,-2676,
-3587,-4452,-5284,-6068,-6798,-7446,-8004,-8447,-8790,-9026,-9167,-9219,-9184,-9056,-8823,-8474,-8037,-7500,-6894,-6232,
-5533,-4794,-4013,-3186,-2326,-1445,-542,350,1216,2057,2867,3664,4435,5177,5891,6552,7137,7652,8083,8450,
8734,8949,9098,9148,9093,8925,8645,8261,7783,7230,6611,5920,5149,4307,3397,2430,1440,427,-563,-1532,
-2484,-3422,-4330,-5198,-6020,-6765,-7417,-7968,-8421,-8780,-9064,-9244,-9344,-9338,-9218,-8973,-8638,-8201,-7694,-7127,
-6503,-5830,-5091,-4295,-3455,-2584,-1696,-822,49,906,1733,2572,3387,4183,4947,5649,6302,6882,7391,7844,
8238,8559,8809,8967,9015,8955,8783,8514,8164,7732,7224,6618,5934,5166,4305,3394,2444,1481,516,-463,
-1435,-2400,-3360,-4289,-5164,-5971,-6694,-7332,-7874,-8349,-8744,-9058,-9259,-9360,-9343,-9209,-8969,-8634,-8229,-7758,
-7210,-6595,-5906,-5145,-4336,-3492,-2623,-1771,-902,-47,819,1679,2533,3377,4181,4926,5619,6262,6849,7389,
7873,8299,8647,8901,9046,9093,9038,8893,8663,8352,7949,7457,6843,6146,5354,4511,3626,2708,1770,809,
-178,-1173,-2185,-3154,-4085,-4957,-5745,-6467,-7132,-7713,-8233,-8663,-8997,-9217,-9311,-9287,-9173,-8963,-8683,-8316,
-7867,-7336,-6709,-6010,-5258,-4464,-3639,-2820,-1977,-1123,-249,632,1517,2380,3209,3984,4723,5414,6065,6681,
7255,7762,8199,8536,8775,8918,8973,8951,8851,8657,8369,7952,7442,6826,6126,5362,4556,3701,2800,1860,
872,-138,-1158,-2157,-3110,-4019,-4877,-5668,-6421,-7111,-7741,-8280,-8705,-9021,-9225,-9319,-9321,-9239,-9075,-8815,
-8454,-7996,-7441,-6804,-6109,-5379,-4609,-3824,-2992,-2134,-1260,-353,546,1426,2269,3081,3858,4614,5337,6019,
6666,7250,7755,8170,8503,8757,8932,9030,9055,8974,8789,8480,8070,7559,6973,6303,5591,4806,3960,3041,
2079,1080,73,-939,-1899,-2860,-3755,-4632,-5466,-6254,-6972,-7604,-8123,-8546,-8863,-9089,-9235,-9280,-9238,-9089,
-8826,-8461,-8001,-7456,-6849,-6201,-5500,-4757,-3962,-3122,-2253,-1359,-474,400,1252,2080,2890,3688,4463,5207,
5902,6538,7103,7596,8007,8366,8648,8870,8993,9019,8937,8734,8421,8033,7554,7001,6376,5669,4878,4022,
3092,2116,1129,152,-827,-1790,-2739,-3674,-4592,-5452,-6250,-6955,-7579,-8103,-8532,-8881,-9147,-9324,-9394,-9355,
-9197,-8933,-8566,-8120,-7607,-7031,-6391,-5700,-4934,-4122,-3263,-2390,-1509,-635,228,1087,1933,2775,3595,4393,
5144,5829,6461,7032,7538,7989,8379,8697,8934,9062,9080,8994,8807,8537,8174,7732,7214,6596,5876,5077,
4207,3299,2356,1397,445,-528,-1514,-2487,-3452,-4375,-5230,-6010,-6716,-7331,-7888,-8352,-8735,-9026,-9214,-9286,
-9230,-9071,-8823,-8491,-8080,-7600,-7045,-6410,-5699,-4925,-4115,-3278,-2426,-1574,-717,143,1010,1883,2734,3556,
4342,5069,5745,6369,6953,7490,7969,8376,8696,8910,9028,9048,8980,8828,8591,8261,7829,7298,6664,5937,
5146,4302,3418,2498,1556,583,-419,-1430,-2432,-3389,-4290,-5131,-5916,-6632,-7284,-7876,-8382,-8784,-9080,-9262,
-9323,-9291,-9167,-8955,-8666,-8286,-7804,-7238,-6594,-5885,-5122,-4335,-3528,-2700,-1841,-973,-89,811,1677,2531,
3338,4107,4843,5534,6190,6812,7376,7862,8268,8582,8807,8946,8996,8974,8863,8651,8326,7888,7354,6730,
6030,5271,4463,3599,2683,1720,727,-285,-1291,-2272,-3203,-4098,-4945,-5747,-6501,-7188,-7788,-8300,-8692,-8981,
-9163,-9255,-9256,-9163,-8977,-8691,-8298,-7811,-7240,-6606,-5918,-5184,-4417,-3612,-2771,-1908,-1011,-123,764,1625,
2465,3261,4040,4791,5513,6191,6811,7370,7843,8240,8562,8804,8972,9063,9049,8940,8722,8390,7952,7436,
6838,6178,5438,4635,3761,2829,1848,856,-144,-1133,-2097,-3044,-3959,-4831,-5673,-6443,-7137,-7732,-8238,-8640,
-8951,-9171,-9303,-9335,-9267,-9080,-8796,-8395,-7920,-7377,-6770,-6113,-5392,-4637,-3822,-2984,-2107,-1220,-341,522,
1385,2214,3038,3826,4606,5340,6024,6638,7189,7668,8089,8434,8709,8912,9016,9014,8897,8682,8371,7970,
7490,6926,6289,5556,4740,3860,2934,1974,998,23,-949,-1921,-2882,-3816,-4714,-5559,-6327,-7011,-7596,-8116,
-8550,-8888,-9142,-9283,-9333,-9257,-9073,-8790,-8420,-7971,-7449,-6860,-6207,-5488,-4709,-3882,-3034,-2163,-1294,-429,
441,1299,2153,3001,3812,4589,5321,5991,6607,7167,7672,8126,8492,8785,8989,9087,9078,8976,8781,8503,
8132,7663,7103,6447,5715,4899,4019,3119,2178,1217,243,-753,-1746,-2732,-3680,-4569,-5402,-6179,-6862,-7485,
-8033,-8492,-8861,-9126,-9279,-9321,-9261,-9093,-8837,-8497,-8079,-7579,-6990,-6342,-5614,-4840,-4034,-3200,-2360,-1497,
-629,250,1124,1994,2830,3636,4397,5113,5796,6430,7013,7543,8004,8380,8668,8861,8976,8991,8913,8756,
8502,8142,7677,7115,6470,5746,4958,4118,3233,2306,1341,342,-665,-1651,-2633,-3567,-4446,-5279,-6060,-6783,
-7427,-7992,-8464,-8842,-9097,-9259,-9308,-9271,-9138,-8909,-8585,-8175,-7657,-7080,-6415,-5709,-4954,-4162,-3337,-2499,
-1626,-735,154,1036,1897,2735,3541,4309,5053,5754,6412,7015,7545,8008,8396,8691,8914,9055,9100,9055,
8903,8658,8304,7847,7298,6678,5970,5206,4377,3488,2551,1577,581,-416,-1405,-2376,-3315,-4207,-5068,-5873,
-6612,-7269,-7842,-8315,-8699,-8977,-9158,-9246,-9246,-9126,-8913,-8597,-8183,-7692,-7120,-6482,-5799,-5063,-4272,-3447,
-2593,-1717,-843,41,911,1760,2598,3416,4199,4945,5652,6310,6905,7435,7900,8293,8611,8845,9002,9064,
9023,8876,8638,8286,7853,7320,6723,6036,5283,4444,3557,2616,1644,657,-330,-1309,-2274,-3231,-4146,-5020,
-5834,-6577,-7244,-7818,-8302,-8694,-9005,-9216,-9320,-9321,-9214,-9008,-8704,-8301,-7828,-7276,-6660,-5975,-5242,-4454,
-3625,-2768,-1904,-1029,-154,715,1569,2420,3248,4046,4798,5513,6167,6769,7314,7787,8212,8560,8813,8981,
9050,9016,8892,8663,8345,7948,7438,6856,6173,5420,4590,3701,2778,1833,860,-123,-1111,-2093,-3055,-3985,
-4865,-5671,-6418,-7088,-7679,-8198,-8624,-8950,-9185,-9295,-9303,-9210,-9006,-8724,-8348,-7902,-7370,-6759,-6072,-5340,
-4553,-3732,-2893,-2032,-1168,-293,587,1452,2316,3141,3941,4691,5397,6069,6688,7253,7754,8187,8532,8795,
8961,9035,9023,8920,8721,8425,8025,7533,6931,6253,5507,4698,3832,2933,1984,1010,5,-1000,-1988,-2945,
-3868,-4737,-5552,-6313,-7013,-7622,-8158,-8594,-8928,-9152,-9279,-9303,-9225,-9061,-8803,-8443,-7990,-7461,-6850,-6181,
-5447,-4686,-3881,-3049,-2188,-1316,-428,456,1331,2183,3000,3798,4561,5284,5969,6601,7181,7674,8111,8455,
8730,8915,9023,9032,8955,8769,8472,8084,7604,7018,6372,5647,4861,4015,3105,2155,1175,173,-825,-1797,
-2752,-3675,-4559,-5394,-6176,-6890,-7518,-8055,-8498,-8831,-9087,-9241,-9286,-9242,-9098,-8838,-8496,-8046,-7529,-6937,
-6289,-5584,-4833,-4032,-3200,-2329,-1461,-576,301,1169,2011,2839,3642,4418,5158,5850,6494,7071,7570,8009,
8380,8669,8884,9003,9027,8956,8770,8489,8115,7646,7098,6464,5758,4974,4120,3203,2250,1278,293,-697,
-1671,-2632,-3573,-4483,-5336,-6129,-6841,-7478,-8023,-8476,-8834,-9118,-9290,-9363,-9324,-9177,-8938,-8590,-8160,-7664,
-7090,-6455,-5752,-4994,-4193,-3355,-2486,-1619,-744,124,991,1847,2689,3505,4302,5036,5730,6375,6950,7473,
7932,8321,8639,8871,9002,9030,8959,8795,8535,8179,7747,7224,6594,5889,5113,4262,3361,2429,1478,507,
-477,-1462,-2440,-3393,-4302,-5165,-5946,-6659,-7295,-7863,-8337,-8730,-9029,-9215,-9295,-9258,-9126,-8893,-8576,-8177,
-7688,-7145,-6505,-5801,-5044,-4250,-3415,-2575,-1715,-850,25,894,1766,2612,3437,4214,4952,5642,6280,6881,
7425,7905,8313,8632,8856,8993,9023,8976,8843,8604,8285,7858,7333,6716,5995,5229,4400,3525,2604,1654,
669,-325,-1334,-2326,-3274,-4174,-5033,-5829,-6558,-7221,-7821,-8326,-8734,-9034,-9227,-9308,-9294,-9188,-8993,-8707,
-8323,-7849,-7293,-6660,-5964,-5219,-4440,-3635,-2796,-1934,-1065,-176,716,1592,2436,3242,4018,4761,5469,6137,
6759,7315,7807,8205,8530,8766,8919,8981,8972,8860,8649,8322,7889,7368,6763,6070,5328,4528,3665,2743,
1779,788,-210,-1211,-2178,-3120,-4023,-4876,-5694,-6450,-7135,-7746,-8252,-8651,-8956,-9152,-9264,-9275,-9196,-9020,
-8734,-8354,-7872,-7308,-6693,-6017,-5293,-4524,-3721,-2877,-2010,-1114,-231,647,1501,2348,3152,3944,4701,5431,
6111,6731,7290,7779,8172,8514,8773,8963,9054,9048,8951,8735,8416,7998,7496,6917,6268,5535,4726,3871,
2944,1972,988,2,-981,-1945,-2888,-3811,-4694,-5532,-6304,-6996,-7601,-8110,-8522,-8852,-9083,-9233,-9270,-9210,
-9033,-8755,-8378,-7915,-7387,-6795,-6142,-5435,-4663,-3855,-3005,-2136,-1255,-386,480,1332,2167,3000,3803,4579,
5317,5990,6609,7166,7651,8080,8439,8725,8933,9039,9041,8931,8713,8424,8032,7564,7007,6367,5635,4831,
3955,3031,2077,1111,136,-833,-1818,-2778,-3727,-4626,-5468,-6244,-6930,-7532,-8067,-8503,-8858,-9120,-9283,-9331,
-9267,-9090,-8818,-8459,-8029,-7521,-6950,-6299,-5582,-4803,-3990,-3146,-2285,-1413,-552,307,1177,2040,2889,3705,
4489,5205,5882,6501,7067,7590,8045,8425,8731,8934,9034,9029,8935,8762,8498,8141,7687,7138,6496,5757,
4950,4098,3197,2272,1318,348,-640,-1640,-2626,-3579,-4469,-5299,-6067,-6752,-7383,-7935,-8419,-8795,-9065,-9226,
-9277,-9208,-9057,-8817,-8500,-8094,-7597,-7015,-6361,-5640,-4875,-4074,-3253,-2414,-1558,-684,192,1076,1954,2797,
3601,4360,5083,5768,6407,7006,7545,8018,8394,8682,8886,9001,9024,8967,8824,8578,8238,7774,7220,6577,
5860,5077,4254,3363,2453,1487,491,-513,-1508,-2491,-3416,-4311,-5144,-5927,-6656,-7322,-7895,-8392,-8769,-9040,
-9201,-9268,-9241,-9126,-8914,-8615,-8210,-7706,-7127,-6478,-5777,-5033,-4250,-3444,-2606,-1735,-847,48,926,1789,
2622,3423,4195,4938,5638,6309,6919,7460,7920,8310,8601,8827,8969,9030,8997,8861,8618,8272,7812,7273,
6652,5969,5215,4393,3514,2584,1598,605,-394,-1381,-2343,-3276,-4174,-5031,-5842,-6592,-7264,-7851,-8322,-8706,
-8990,-9172,-9273,-9280,-9179,-8979,-8671,-8263,-7767,-7194,-6574,-5898,-5166,-4396,-3579,-2722,-1848,-951,-65,803,
1653,2476,3289,4079,4842,5557,6239,6832,7370,7838,8227,8549,8802,8974,9054,9019,8890,8645,8305,7876,
7363,6777,6118,5368,4541,3665,2726,1754,773,-213,-1183,-2140,-3091,-4011,-4898,-5721,-6478,-7145,-7719,-8205,
-8613,-8919,-9156,-9283,-9299,-9210,-9003,-8699,-8313,-7844,-7304,-6708,-6045,-5326,-4544,-3718,-2859,-1988,-1119,-251,
612,1462,2301,3136,3941,4713,5432,6088,6693,7227,7706,8131,8486,8764,8944,9023,8993,8856,8632,8325,
7930,7442,6878,6208,5452,4621,3736,2817,1872,902,-66,-1047,-2028,-3007,-3943,-4832,-5651,-6403,-7065,-7657,
-8176,-8614,-8965,-9207,-9340,-9354,-9266,-9072,-8787,-8431,-7991,-7482,-6874,-6208,-5472,-4681,-3861,-3016,-2168,-1309,
-439,438,1308,2180,3022,3825,4584,5294,5960,6575,7143,7657,8101,8465,8741,8918,8997,8982,8877,8695,
8418,8034,7568,6982,6310,5567,4756,3897,2999,2076,1114,125,-867,-1861,-2844,-3773,-4642,-5456,-6206,-6899,
-7520,-8061,-8514,-8875,-9111,-9242,-9262,-9191,-9035,-8780,-8446,-8019,-7496,-6900,-6221,-5496,-4724,-3928,-3101,-2262,
-1390,-512,373,1258,2121,2954,3747,4504,5226,5911,6548,7136,7658,8103,8466,8739,8921,9027,9047,8970,
8804,8531,8162,7680,7103,6452,5722,4945,4096,3215,2276,1304,297,-704,-1700,-2656,-3577,-4460,-5286,-6070,
-6796,-7443,-7999,-8454,-8806,-9049,-9212,-9250,-9230,-9089,-8866,-8542,-8110,-7597,-7007,-6345,-5649,-4895,-4104,-3290,
-2441,-1566,-675,222,1092,1936,2768,3566,4337,5076,5774,6428,7020,7538,7988,8356,8650,8855,8987,9031,
8980,8816,8552,8178,7711,7158,6527,5831,5078,4236,3336,2394,1413,427,-571,-1549,-2501,-3422,-4323,-5176,
-5977,-6704,-7358,-7915,-8361,-8728,-8999,-9169,-9257,-9238,-9118,-8883,-8545,-8123,-7621,-7041,-6407,-5721,-4985,-4196,
-3360,-2496,-1621,-730,144,1009,1858,2687,3504,4300,5050,5759,6413,7002,7521,7972,8362,8682,8913,9062,
9115,9063,8900,8637,8289,7851,7326,6722,6044,5271,4438,3535,2596,1632,664,-318,-1288,-2261,-3205,-4125,
-4996,-5804,-6529,-7185,-7749,-8227,-8630,-8933,-9138,-9243,-9223,-9116,-8891,-8576,-8173,-7697,-7157,-6544,-5856,-5122,
-4330,-3497,-2650,-1785,-921,-59,812,1670,2508,3334,4134,4885,5583,6232,6823,7359,7831,8251,8584,8833,
8975,9028,8982,8840,8604,8287,7870,7366,6762,6069,5303,4474,3579,2671,1718,751,-235,-1225,-2216,-3173,
-4098,-4964,-5767,-6504,-7164,-7754,-8262,-8673,-9005,-9217,-9318,-9313,-9202,-9006,-8713,-8337,-7877,-7336,-6717,-6032,
-5285,-4498,-3680,-2842,-1983,-1118,-235,644,1521,2382,3204,4003,4749,5452,6119,6730,7298,7787,8213,8551,
8810,8964,9036,9016,8903,8696,8390,7983,7489,6888,6212,5459,4651,3794,2882,1938,965,-33,-1032,-2010,
-2969,-3877,-4743,-5557,-6301,-6983,-7598,-8118,-8545,-8868,-9087,-9203,-9221,-9130,-8963,-8687,-8325,-7871,-7339,-6727,
-6051,-5318,-4556,-3749,-2920,-2065,-1193,-311,572,1446,2296,3115,3901,4653,5378,6051,6682,7250,7749,8169,
8515,8775,8949,9040,9041,8943,8751,8448,8051,7553,6973,6307,5578,4782,3934,3013,2066,1089,90,-905,
-1891,-2845,-3761,-4643,-5477,-6249,-6950,-7575,-8108,-8543,-8877,-9117,-9264,-9297,-9246,-9091,-8835,-8485,-8039,-7508,
-6915,-6257,-5548,-4790,-3995,-3161,-2295,-1426,-536,341,1195,2046,2870,3674,4445,5185,5868,6511,7077,7589,
8017,8377,8660,8864,8977,8994,8905,8721,8429,8043,7573,7025,6382,5667,4878,4029,3119,2167,1194,216,
-773,-1747,-2699,-3631,-4520,-5371,-6156,-6857,-7481,-8019,-8462,-8814,-9077,-9239,-9302,-9250,-9099,-8850,-8505,-8073,
-7556,-6985,-6338,-5625,-4865,-4071,-3225,-2365,-1491,-619,252,1117,1981,2810,3627,4408,5142,5830,6465,7039,
7560,8009,8381,8685,8897,9022,9033,8958,8786,8518,8153,7705,7164,6535,5819,5030,4185,3282,2341,1386,
409,-577,-1562,-2537,-3477,-4378,-5228,-6011,-6730,-7367,-7925,-8399,-8778,-9055,-9238,-9311,-9279,-9138,-8910,-8601,
-8191,-7699,-7138,-6499,-5796,-5045,-4251,-3427,-2573,-1714,-844,30,899,1764,2609,3411,4184,4931,5620,6266,
6851,7388,7856,8251,8552,8775,8907,8937,8888,8737,8497,8149,7709,7180,6550,5846,5073,4248,3369,2439,
1477,500,-489,-1485,-2463,-3403,-4307,-5153,-5953,-6676,-7337,-7912,-8401,-8788,-9079,-9263,-9358,-9334,-9218,-9006,
-8705,-8303,-7819,-7256,-6630,-5926,-5185,-4393,-3575,-2731,-1863,-979,-96,783,1642,2491,3303,4090,4845,5551,
6206,6814,7366,7843,8238,8559,8800,8951,9007,8970,8845,8616,8276,7847,7328,6722,6034,5281,4467,3593,
2670,1708,729,-267,-1249,-2219,-3168,-4070,-4930,-5736,-6485,-7155,-7738,-8236,-8642,-8944,-9142,-9250,-9257,-9159,
-8964,-8669,-8284,-7814,-7260,-6646,-5965,-5238,-4462,-3648,-2805,-1938,-1058,-178,693,1559,2399,3219,4001,4758,
5482,6142,6752,7305,7774,8191,8522,8771,8942,9019,8993,8875,8653,8337,7918,7414,6825,6161,5414,4613,
3727,2808,1846,863,-116,-1092,-2077,-3019,-3939,-4814,-5640,-6401,-7076,-7666,-8179,-8597,-8918,-9152,-9273,-9302,
-9223,-9036,-8751,-8382,-7917,-7386,-6783,-6126,-5393,-4619,-3801,-2957,-2093,-1218,-341,528,1391,2247,3069,3874,
4645,5373,6047,6664,7212,7712,8141,8498,8773,8959,9050,9048,8939,8730,8442,8044,7570,6993,6336,5596,
4787,3916,3012,2064,1095,122,-863,-1840,-2803,-3731,-4618,-5451,-6210,-6888,-7494,-8024,-8460,-8811,-9061,-9195,
-9233,-9161,-8989,-8717,-8366,-7933,-7416,-6821,-6163,-5439,-4665,-3852,-3024,-2167,-1297,-427,440,1315,2183,3013,
3820,4575,5293,5971,6597,7163,7677,8115,8485,8754,8942,9039,9041,8947,8769,8487,8116,7637,7067,6410,
5685,4874,4035,3135,2200,1230,246,-748,-1735,-2712,-3643,-4523,-5356,-6126,-6833,-7464,-8012,-8479,-8836,-9093,
-9243,-9296,-9250,-9098,-8857,-8528,-8109,-7599,-7013,-6364,-5656,-4894,-4096,-3274,-2427,-1557,-680,202,1076,1935,
2769,3570,4333,5065,5751,6398,6987,7508,7963,8336,8621,8824,8937,8975,8906,8737,8484,8119,7652,7102,
6457,5754,4988,4147,3260,2332,1365,373,-619,-1606,-2567,-3498,-4387,-5222,-6005,-6733,-7376,-7942,-8403,-8772,
-9036,-9201,-9263,-9245,-9111,-8887,-8558,-8146,-7633,-7058,-6412,-5713,-4961,-4175,-3346,-2498,-1621,-732,159,1023,
1890,2722,3525,4302,5046,5760,6417,7010,7537,7998,8374,8681,8904,9042,9096,9036,8890,8641,8284,7831,
7293,6675,5983,5222,4390,3502,2561,1595,602,-385,-1367,-2320,-3262,-4159,-5024,-5827,-6564,-7227,-7791,-8260,
-8647,-8929,-9126,-9222,-9220,-9106,-8889,-8571,-8172,-7683,-7121,-6502,-5819,-5096,-4312,-3485,-2632,-1761,-881,-15,
851,1703,2537,3356,4146,4899,5603,6257,6851,7376,7842,8237,8565,8801,8963,9017,8980,8824,8575,8242,
7816,7299,6708,6026,5266,4437,3542,2606,1652,676,-298,-1277,-2253,-3198,-4122,-4987,-5803,-6547,-7203,-7777,
-8274,-8671,-8989,-9206,-9315,-9315,-9220,-9000,-8698,-8311,-7843,-7305,-6692,-6011,-5285,-4496,-3666,-2814,-1956,-1083,
-211,652,1515,2368,3197,4002,4761,5467,6129,6733,7274,7760,8184,8525,8793,8946,9017,8985,8858,8640,
8329,7928,7432,6844,6169,5412,4587,3710,2803,1857,897,-86,-1075,-2063,-3018,-3955,-4817,-5629,-6371,-7042,
-7644,-8159,-8578,-8917,-9141,-9260,-9267,-9175,-8986,-8703,-8341,-7897,-7362,-6755,-6081,-5345,-4564,-3748,-2914,-2061,
-1197,-314,561,1435,2290,3121,3921,4673,5376,6041,6664,7227,7730,8160,8511,8771,8932,9020,8992,8896,
8698,8406,8016,7525,6927,6256,5513,4715,3856,2952,2016,1047,50,-943,-1933,-2895,-3812,-4684,-5498,-6255,
-6956,-7570,-8104,-8549,-8889,-9120,-9249,-9280,-9211,-9050,-8794,-8452,-8011,-7485,-6884,-6214,-5489,-4734,-3936,-3108,
-2249,-1383,-501,382,1258,2106,2938,3725,4491,5211,5892,6527,7116,7623,8060,8412,8682,8870,8965,8986,
8909,8730,8450,8069,7586,7008,6357,5633,4854,4012,3114,2172,1195,204,-797,-1774,-2725,-3645,-4528,-5359,
-6133,-6848,-7487,-8034,-8477,-8825,-9073,-9212,-9272,-9227,-9089,-8849,-8501,-8063,-7546,-6952,-6300,-5588,-4843,-4057,
-3224,-2357,-1483,-595,291,1157,2006,2832,3633,4411,5146,5842,6494,7071,7584,8024,8387,8678,8889,9014,
9052,8981,8810,8531,8152,7686,7135,6507,5807,5036,4184,3283,2332,1354,374,-615,-1589,-2541,-3471,-4367,
-5227,-6025,-6740,-7387,-7925,-8380,-8748,-9016,-9198,-9273,-9246,-9119,-8879,-8542,-8120,-7617,-7043,-6413,-5725,-4977,
-4187,-3349,-2485,-1614,-739,128,994,1844,2673,3494,4283,5035,5732,6371,6953,7471,7921,8312,8625,8858,
8997,9035,8973,8807,8543,8194,7755,7227,6622,5918,5151,4300,3403,2465,1509,534,-440,-1425,-2390,-3339,
-4254,-5114,-5907,-6629,-7272,-7834,-8315,-8706,-8996,-9200,-9286,-9270,-9143,-8916,-8600,-8198,-7720,-7172,-6546,-5859,
-5108,-4310,-3485,-2630,-1768,-905,-31,834,1698,2547,3373,4166,4913,5606,6254,6849,7383,7865,8267,8592,
8831,8975,9019,8971,8826,8593,8262,7845,7333,6728,6025,5257,4423,3543,2627,1674,708,-278,-1277,-2249,
-3208,-4117,-4981,-5780,-6504,-7167,-7749,-8256,-8666,-8982,-9182,-9285,-9272,-9162,-8957,-8664,-8287,-7824,-7275,-6657,
-5965,-5220,-4435,-3616,-2776,-1927,-1056,-178,701,1574,2429,3251,4041,4786,5489,6146,6757,7315,7810,8226,
8557,8802,8952,9017,8990,8873,8665,8349,7942,7430,6828,6143,5386,4576,3709,2808,1862,888,-106,-1108,
-2088,-3037,-3945,-4810,-5617,-6353,-7042,-7643,-8170,-8587,-8902,-9119,-9227,-9235,-9150,-8969,-8708,-8338,-7880,-7336,
-6726,-6037,-5309,-4540,-3738,-2906,-2053,-1168,-286,598,1468,2317,3140,3928,4679,5402,6073,6707,7280,7771,
8192,8525,8782,8956,9043,9044,8953,8752,8445,8034,7537,6955,6286,5557,4767,3908,3002,2042,1061,65,
-925,-1904,-2845,-3761,-4640,-5469,-6237,-6942,-7560,-8090,-8514,-8839,-9068,-9207,-9248,-9185,-9027,-8767,-8402,-7952,
-7415,-6817,-6161,-5453,-4690,-3892,-3058,-2189,-1312,-421,446,1314,2161,2983,3778,4550,5285,5972,6601,7166,
7664,8092,8445,8725,8924,9029,9040,8948,8755,8458,8065,7593,7027,6381,5668,4872,4017,3099,2147,1172,
194,-793,-1763,-2723,-3653,-4542,-5389,-6168,-6874,-7491,-8022,-8467,-8814,-9072,-9235,-9293,-9244,-9087,-8829,-8483,
-8047,-7529,-6954,-6310,-5597,-4847,-4039,-3199,-2335,-1465,-586,282,1145,1999,2835,3647,4424,5164,5851,6477,
7054,7560,8013,8386,8685,8896,9016,9026,8950,8770,8492,8127,7672,7127,6494,5776,4990,4135,3231,2295,
1333,360,-614,-1600,-2573,-3509,-4416,-5261,-6047,-6749,-7379,-7932,-8397,-8774,-9055,-9228,-9299,-9261,-9116,-8878,
-8550,-8139,-7647,-7077,-6438,-5738,-4977,-4176,-3345,-2489,-1629,-757,113,985,1844,2689,3505,4284,5024,5710,
6354,6936,7467,7933,8328,8632,8854,8972,9008,8942,8788,8542,8196,7754,7227,6598,5885,5102,4261,3377,
2453,1493,522,-474,-1462,-2436,-3387,-4286,-5133,-5921,-6635,-7288,-7859,-8348,-8742,-9035,-9213,-9294,-9267,-9146,
-8926,-8621,-8223,-7745,-7178,-6541,-5843,-5098,-4317,-3480,-2647,-1782,-908,-23,851,1725,2566,3391,4165,4907,
5602,6258,6860,7404,7884,8284,8595,8824,8965,9018,8973,8847,8612,8275,7844,7319,6697,6006,5240,4425,
3552,2627,1673,688,-308,-1298,-2279,-3217,-4114,-4969,-5773,-6520,-7187,-7779,-8274,-8670,-8966,-9163,-9260,-9264,
-9165,-8968,-8674,-8290,-7813,-7261,-6631,-5949,-5216,-4443,-3630,-2796,-1921,-1046,-167,713,1577,2420,3235,4016,
4768,5487,6149,6768,7310,7795,8200,8525,8771,8938,9004,8989,8866,8637,8315,7896,7381,6794,6115,5375,
4563,3689,2763,1805,818,-165,-1153,-2118,-3066,-3980,-4855,-5676,-6431,-7112,-7710,-8212,-8622,-8941,-9157,-9282,
-9300,-9221,-9036,-8748,-8368,-7909,-7365,-6755,-6087,-5362,-4588,-3773,-2928,-2065,-1189,-308,564,1425,2274,3099,
3900,4663,5386,6064,6677,7231,7723,8141,8486,8753,8936,9027,9016,8900,8692,8384,7983,7494,6918,6260,
5521,4712,3845,2927,1979,1007,22,-961,-1930,-2891,-3819,-4701,-5526,-6292,-6981,-7581,-8104,-8533,-8874,-9110,
-9254,-9284,-9212,-9037,-8767,-8406,-7960,-7437,-6846,-6189,-5466,-4700,-3886,-3045,-2191,-1316,-446,423,1289,2139,
2975,3777,4541,5271,5948,6567,7127,7631,8068,8433,8707,8897,8997,8993,8896,8703,8418,8035,7561,6990,
6350,5609,4811,3946,3043,2109,1140,155,-827,-1813,-2778,-3718,-4602,-5434,-6201,-6900,-7522,-8064,-8514,-8873,
-9133,-9279,-9325,-9265,-9110,-8858,-8520,-8095,-7584,-6997,-6340,-5624,-4862,-4056,-3231,-2376,-1511,-636,243,1122,
1977,2820,3617,4396,5119,5808,6441,7028,7547,8003,8373,8663,8863,8968,8993,8923,8748,8488,8120,7660,
7102,6457,5746,4965,4121,3236,2301,1334,351,-646,-1630,-2591,-3527,-4414,-5248,-6028,-6740,-7383,-7942,-8403,
-8775,-9034,-9196,-9255,-9215,-9078,-8847,-8520,-8105,-7604,-7016,-6369,-5663,-4916,-4125,-3307,-2453,-1580,-694,186,
1062,1918,2748,3558,4335,5070,5773,6420,7018,7543,8009,8379,8686,8899,9032,9069,9013,8855,8598,8237,
7791,7241,6619,5920,5153,4323,3426,2493,1523,531,-458,-1435,-2404,-3341,-4237,-5101,-5895,-6628,-7285,-7849,
-8330,-8702,-8985,-9175,-9257,-9247,-9133,-8913,-8598,-8190,-7698,-7138,-6512,-5822,-5087,-4299,-3478,-2624,-1753,-881,
-3,865,1717,2551,3370,4149,4904,5604,6259,6856,7383,7846,8246,8560,8798,8947,9000,8956,8810,8561,
8223,7788,7271,6663,5984,5218,4387,3496,2572,1611,634,-349,-1329,-2300,-3246,-4162,-5024,-5833,-6568,-7228,
-7801,-8293,-8689,-8995,-9201,-9304,-9307,-9196,-8987,-8682,-8284,-7812,-7268,-6649,-5970,-5229,-4444,-3620,-2769,-1904,
-1033,-150,711,1577,2429,3251,4050,4806,5511,6174,6775,7317,7804,8214,8549,8808,8965,9033,8998,8870,
8646,8325,7915,7415,6818,6141,5387,4557,3683,2761,1814,843,-139,-1124,-2105,-3064,-3985,-4858,-5666,-6410,
-7081,-7672,-8184,-8609,-8933,-9155,-9268,-9272,-9181,-8992,-8707,-8334,-7884,-7353,-6742,-6066,-5329,-4555,-3736,-2896,
-2046,-1181,-310,569,1441,2289,3121,3916,4668,5382,6040,6653,7217,7715,8144,8486,8746,8910,8983,8966,
8860,8659,8359,7964,7464,6877,6205,5458,4654,3792,2883,1948,971,-15,-1014,-2002,-2958,-3876,-4747,-5561,
-6314,-7005,-7621,-8157,-8586,-8919,-9154,-9274,-9299,-9229,-9059,-8798,-8446,-7997,-7474,-6867,-6192,-5470,-4703,-3901,
-3074,-2213,-1341,-457,429,1302,2157,2981,3772,4539,5262,5942,6582,7154,7669,8092,8448,8715,8903,9007,
9018,8939,8752,8464,8073,7587,7016,6362,5636,4853,4007,3105,2158,1180,192,-806,-1785,-2734,-3649,-4526,
-5363,-6137,-6847,-7476,-8013,-8450,-8791,-9035,-9182,-9232,-9183,-9039,-8792,-8438,-8001,-7476,-6881,-6231,-5527,-4773,
-3980,-3144,-2286,-1407,-520,355,1220,2069,2886,3693,4471,5206,5898,6538,7111,7621,8053,8422,8706,8912,
9036,9061,8984,8805,8518,8142,7671,7118,6489,5779,4999,4150,3239,2296,1314,321,-658,-1631,-2589,-3525,
-4422,-5275,-6066,-6786,-7415,-7961,-8413,-8775,-9050,-9223,-9298,-9267,-9128,-8882,-8549,-8123,-7618,-7055,-6416,-5727,
-4974,-4174,-3342,-2478,-1600,-732,138,1005,1851,2694,3504,4288,5040,5730,6372,6955,7471,7926,8314,8622,
8852,8988,9017,8951,8782,8522,8166,7726,7196,6583,5877,5103,4253,3360,2424,1467,495,-483,-1462,-2430,
-3374,-4286,-5142,-5934,-6649,-7289,-7840,-8319,-8706,-9003,-9189,-9273,-9249,-9116,-8887,-8563,-8158,-7685,-7125,-6494,
-5802,-5046,-4246,-3417,-2560,-1703,-829,33,906,1767,2621,3445,4235,4973,5670,6312,6905,7441,7916,8318,
8648,8879,9013,9055,8998,8856,8618,8288,7864,7348,6725,6029,5247,4414,3533,2613,1666,692,-296,-1288,
-2280,-3231,-4142,-4999,-5794,-6519,-7181,-7763,-8269,-8675,-8984,-9187,-9276,-9255,-9151,-8944,-8656,-8277,-7807,-7260,
-6634,-5940,-5199,-4409,-3595,-2760,-1906,-1036,-157,721,1594,2443,3262,4037,4780,5483,6139,6751,7308,7795,
8210,8530,8766,8913,8971,8941,8829,8615,8300,7871,7357,6747,6057,5300,4494,3629,2720,1766,779,-214,
-1213,-2193,-3135,-4040,-4898,-5700,-6454,-7130,-7739,-8255,-8666,-8973,-9174,-9281,-9291,-9205,-9025,-8752,-8378,-7909,
-7361,-6739,-6057,-5330,-4558,-3761,-2922,-2058,-1179,-284,595,1465,2304,3122,3904,4669,5390,6067,6695,7256,
7748,8160,8491,8751,8922,9014,9013,8908,8703,8387,7973,7469,6890,6221,5497,4700,3837,2919,1957,974,
-13,-1007,-1967,-2924,-3832,-4708,-5536,-6312,-7005,-7612,-8123,-8548,-8872,-9101,-9236,-9274,-9209,-9047,-8772,-8402,
-7948,-7411,-6808,-6157,-5445,-4687,-3878,-3038,-2169,-1288,-411,458,1315,2156,2979,3780,4552,5285,5971,6593,
7150,7645,8060,8419,8695,8899,9004,9007,8910,8704,8398,8008,7528,6967,6328,5604,4805,3946,3023,2067,
1092,116,-860,-1831,-2789,-3717,-4618,-5462,-6241,-6933,-7549,-8073,-8510,-8857,-9114,-9271,-9327,-9269,-9106,-8840,
-8485,-8045,-7536,-6955,-6306,-5606,-4838,-4023,-3180,-2317,-1444,-574,293,1157,2011,2851,3667,4447,5184,5862,
6491,7057,7566,8016,8391,8689,8906,9014,9025,8935,8749,8474,8109,7654,7113,6480,5757,4957,4099,3200,
2264,1304,340,-639,-1624,-2595,-3543,-4445,-5286,-6058,-6762,-7382,-7940,-8397,-8772,-9047,-9216,-9275,-9225,-9070,
-8828,-8499,-8085,-7595,-7025,-6383,-5671,-4904,-4103,-3273,-2423,-1566,-698,176,1049,1916,2762,3576,4352,5080,
5761,6398,6983,7516,7983,8371,8674,8880,8995,9019,8951,8795,8546,8202,7755,7208,6574,5852,5072,4234,
3352,2428,1474,493,-502,-1503,-2481,-3425,-4317,-5157,-5936,-6655,-7306,-7883,-8371,-8758,-9036,-9212,-9275,-9246,
-9121,-8907,-8601,-8210,-7718,-7144,-6501,-5799,-5046,-4261,-3447,-2613,-1746,-868,12,902,1762,2605,3413,4186,
4925,5620,6276,6885,7427,7899,8295,8600,8821,8959,9006,8969,8837,8604,8265,7824,7285,6665,5970,5210,
4393,3519,2599,1632,642,-353,-1345,-2316,-3246,-4146,-4994,-5794,-6541,-7212,-7797,-8292,-8680,-8967,-9153,-9246,
-9246,-9148,-8949,-8653,-8254,-7770,-7209,-6579,-5893,-5162,-4389,-3579,-2731,-1865,-977,-95,784,1642,2480,3286,
4072,4819,5538,6206,6819,7364,7834,8230,8554,8793,8953,9028,9006,8877,8651,8318,7885,7369,6770,6103,
5358,4544,3666,2738,1767,784,-205,-1187,-2149,-3096,-4008,-4877,-5706,-6460,-7140,-7727,-8224,-8627,-8938,-9154,
-9276,-9295,-9213,-9022,-8731,-8332,-7864,-7323,-6715,-6052,-5326,-4558,-3741,-2896,-2027,-1144,-266,596,1460,2298,
3122,3916,4687,5411,6086,6692,7244,7721,8140,8481,8748,8931,9019,9004,8882,8661,8351,7947,7458,6882,
6232,5491,4677,3795,2878,1923,954,-25,-999,-1972,-2933,-3858,-4746,-5577,-6334,-7011,-7599,-8114,-8547,-8879,
-9126,-9256,-9288,-9211,-9027,-8745,-8379,-7935,-7412,-6818,-6154,-5435,-4658,-3837,-2994,-2129,-1262,-393,479,1340,
2193,3033,3837,4608,5332,5998,6615,7176,7675,8120,8477,8756,8945,9035,9022,8920,8721,8433,8056,7577,
7008,6346,5611,4801,3931,3032,2091,1129,152,-842,-1829,-2799,-3736,-4619,-5444,-6214,-6898,-7519,-8058,-8510,
-8866,-9120,-9264,-9303,-9242,-9076,-8822,-8477,-8052,-7545,-6950,-6299,-5573,-4805,-4003,-3169,-2321,-1457,-584,295,
1172,2036,2870,3672,4436,5156,5840,6473,7052,7576,8025,8392,8675,8865,8971,8984,8902,8734,8467,8099,
7627,7062,6413,5693,4905,4064,3172,2241,1275,282,-719,-1700,-2672,-3600,-4480,-5313,-6090,-6804,-7445,-7999,
-8459,-8828,-9082,-9237,-9289,-9246,-9111,-8875,-8545,-8128,-7613,-7034,-6376,-5670,-4920,-4126,-3297,-2454,-1579,-695,
188,1070,1928,2761,3568,4337,5078,5775,6425,7019,7543,7995,8377,8668,8883,9014,9049,8993,8831,8571,
8215,7754,7204,6580,5872,5103,4270,3378,2441,1472,481,-507,-1490,-2458,-3394,-4284,-5139,-5934,-6665,-7311,
-7879,-8344,-8722,-8995,-9176,-9256,-9246,-9121,-8902,-8583,-8166,-7673,-7109,-6468,-5783,-5042,-4252,-3426,-2572,-1698,
-822,57,926,1779,2618,3434,4218,4964,5667,6321,6910,7440,7903,8290,8604,8835,8981,9034,8986,8834,
8590,8238,7801,7269,6663,5973,5217,4377,3493,2553,1589,605,-375,-1355,-2317,-3269,-4178,-5048,-5853,-6587,
-7244,-7819,-8301,-8690,-8994,-9198,-9297,-9290,-9179,-8971,-8664,-8263,-7789,-7235,-6617,-5930,-5196,-4406,-3579,-2723,
-1860,-984,-111,756,1616,2465,3287,4082,4835,5544,6196,6794,7337,7809,8223,8563,8806,8967,9024,8986,
8856,8624,8297,7893,7377,6788,6100,5345,4514,3632,2708,1766,793,-189,-1177,-2157,-3111,-4031,-4904,-5706,
-6449,-7113,-7703,-8215,-8633,-8951,-9174,-9281,-9286,-9188,-8987,-8701,-8324,-7870,-7333,-6721,-6034,-5303,-4519,-3699,
-2862,-1996,-1132,-257,624,1488,2346,3171,3970,4717,5427,6095,6712,7271,7765,8190,8527,8783,8950,9020,
9004,8893,8687,8384,7978,7480,6885,6206,5460,4651,3788,2885,1936,961,-34,-1029,-2010,-2961,-3880,-4746,
-5560,-6317,-7008,-7612,-8139,-8565,-8893,-9115,-9241,-9263,-9183,-9011,-8750,-8387,-7931,-7401,-6791,-6123,-5393,-4627,
-3822,-2989,-2125,-1253,-367,511,1382,2235,3054,3850,4613,5335,6016,6644,7217,7708,8139,8482,8754,8934,
9033,9034,8946,8753,8455,8059,7576,6991,6340,5611,4820,3967,3060,2108,1134,138,-851,-1827,-2781,-3702,
-4581,-5414,-6188,-6894,-7513,-8047,-8488,-8819,-9069,-9220,-9261,-9208,-9060,-8797,-8451,-8004,-7485,-6894,-6243,-5534,
-4781,-3979,-3147,-2279,-1412,-529,344,1212,2057,2885,3687,4460,5196,5883,6519,7095,7591,8029,8396,8681,
8886,9000,9013,8937,8747,8463,8087,7614,7061,6425,5711,4925,4072,3162,2213,1244,262,-723,-1698,-2658,
-3593,-4495,-5338,-6124,-6829,-7462,-8004,-8453,-8810,-9084,-9250,-9316,-9273,-9124,-8880,-8537,-8105,-7607,-7031,-6392,
-5690,-4930,-4129,-3295,-2430,-1564,-688,178,1047,1903,2745,3556,4345,5078,5772,6413,6986,7507,7964,8345,
8655,8877,9001,9026,8950,8784,8522,8161,7719,7190,6556,5851,5072,4222,3326,2395,1440,468,-515,-1498,
-2471,-3420,-4321,-5177,-5958,-6669,-7305,-7870,-8340,-8728,-9019,-9197,-9274,-9237,-9105,-8874,-8555,-8154,-7665,-7113,
-6475,-5772,-5016,-4225,-3392,-2553,-1690,-820,54,922,1792,2634,3455,4232,4968,5662,6300,6897,7437,7908,
8307,8619,8838,8971,9004,8952,8811,8568,8239,7804,7273,6655,5940,5174,4345,3468,2545,1592,608,-382,
-1382,-2365,-3310,-4207,-5063,-5858,-6586,-7243,-7835,-8331,-8732,-9027,-9216,-9298,-9283,-9173,-8974,-8681,-8292,-7814,
-7257,-6623,-5933,-5188,-4407,-3600,-2758,-1892,-1023,-134,750,1622,2465,3273,4050,4795,5503,6168,6784,7332,
7817,8212,8534,8770,8919,8978,8961,8841,8620,8290,7855,7335,6727,6036,5292,4485,3620,2697,1736,750,
-239,-1236,-2200,-3141,-4045,-4898,-5712,-6464,-7140,-7743,-8244,-8644,-8946,-9146,-9255,-9264,-9178,-8996,-8707,-8327,
-7848,-7287,-6673,-5999,-5272,-4501,-3696,-2851,-1985,-1093,-211,660,1517,2362,3172,3966,4723,5445,6122,6738,
7292,7777,8173,8512,8768,8950,9033,9020,8913,8694,8373,7956,7453,6870,6214,5479,4665,3806,2883,1917,
936,-49,-1030,-1995,-2940,-3861,-4740,-5572,-6336,-7022,-7624,-8130,-8545,-8871,-9098,-9241,-9273,-9206,-9027,-8748,
-8371,-7910,-7380,-6786,-6129,-5417,-4645,-3834,-2985,-2120,-1240,-370,496,1351,2191,3023,3827,4596,5331,5999,
6618,7174,7660,8088,8445,8723,8923,9021,9018,8907,8690,8399,8006,7531,6969,6325,5589,4786,3911,2991,
2043,1077,103,-869,-1851,-2809,-3750,-4644,-5477,-6247,-6933,-7534,-8066,-8501,-8852,-9108,-9262,-9304,-9238,-9063,
-8793,-8434,-8003,-7494,-6917,-6262,-5545,-4770,-3958,-3117,-2257,-1386,-521,341,1211,2072,2916,3728,4508,5223,
5900,6521,7088,7607,8058,8430,8729,8926,9023,9019,8926,8748,8480,8115,7656,7101,6456,5719,4916,4063,
3164,2237,1281,306,-679,-1676,-2655,-3600,-4487,-5316,-6083,-6771,-7401,-7950,-8426,-8797,-9062,-9219,-9269,-9204,
-9055,-8815,-8493,-8082,-7583,-6999,-6344,-5627,-4865,-4064,-3242,-2400,-1543,-666,210,1092,1964,2804,3608,4369,
5094,5780,6420,7015,7547,8013,8385,8670,8873,8988,9010,8949,8798,8546,8198,7732,7178,6535,5821,5038,
4214,3319,2405,1439,444,-553,-1544,-2521,-3446,-4339,-5171,-5953,-6679,-7340,-7906,-8395,-8766,-9037,-9199,-9266,
-9237,-9120,-8903,-8598,-8189,-7686,-7108,-6461,-5760,-5016,-4230,-3420,-2580,-1709,-822,68,945,1805,2640,3444,
4217,4960,5659,6325,6931,7466,7925,8311,8604,8829,8968,9024,8985,8843,8596,8247,7788,7250,6628,5943,
5188,4363,3480,2552,1569,580,-412,-1397,-2359,-3291,-4188,-5045,-5853,-6597,-7262,-7842,-8313,-8694,-8980,-9162,
-9262,-9263,-9160,-8955,-8646,-8237,-7745,-7174,-6554,-5877,-5143,-4370,-3552,-2695,-1823,-929,-46,821,1672,2497,
3311,4102,4862,5575,6251,6843,7380,7847,8236,8558,8808,8973,9047,9008,8876,8630,8288,7860,7345,6756,
6091,5339,4511,3634,2697,1729,750,-234,-1205,-2163,-3114,-4031,-4914,-5733,-6484,-7150,-7723,-8209,-8616,-8922,
-9154,-9276,-9287,-9195,-8988,-8683,-8298,-7830,-7289,-6690,-6024,-5301,-4519,-3693,-2836,-1967,-1098,-230,634,1487,
2326,3161,3963,4732,5449,6103,6708,7244,7722,8144,8496,8767,8942,9017,8985,8849,8624,8315,7917,7426,
6857,6184,5428,4599,3717,2799,1856,886,-83,-1066,-2044,-3019,-3951,-4835,-5650,-6400,-7062,-7656,-8172,-8606,
-8953,-9190,-9321,-9332,-9242,-9049,-8766,-8408,-7966,-7454,-6845,-6177,-5441,-4653,-3835,-2992,-2143,-1282,-411,465,
1334,2204,3043,3844,4602,5313,5978,6594,7161,7672,8111,8471,8744,8919,8996,8981,8876,8690,8409,8022,
7551,6964,6292,5549,4741,3882,2983,2058,1094,107,-885,-1874,-2853,-3779,-4648,-5462,-6214,-6905,-7525,-8064,
-8513,-8868,-9104,-9235,-9258,-9185,-9029,-8772,-8435,-8005,-7482,-6886,-6209,-5486,-4715,-3918,-3091,-2249,-1377,-499,
383,1267,2128,2959,3753,4510,5233,5917,6553,7138,7657,8099,8460,8731,8913,9017,9035,8955,8785,8509,
8137,7654,7077,6427,5697,4917,4069,3185,2246,1275,270,-727,-1719,-2675,-3596,-4478,-5304,-6086,-6810,-7452,
-8005,-8459,-8808,-9051,-9213,-9252,-9228,-9086,-8860,-8533,-8101,-7587,-6999,-6337,-5640,-4886,-4094,-3278,-2428,-1553,
-664,229,1100,1943,2775,3574,4345,5084,5780,6433,7023,7539,7987,8355,8648,8852,8982,9022,8968,8802,
8536,8161,7694,7141,6510,5812,5057,4215,3314,2373,1395,410,-584,-1562,-2514,-3435,-4335,-5187,-5985,-6710,
-7360,-7917,-8362,-8729,-8999,-9169,-9256,-9235,-9112,-8876,-8538,-8118,-7616,-7036,-6402,-5715,-4978,-4187,-3354,-2490,
-1616,-727,145,1010,1861,2691,3508,4302,5051,5759,6412,6999,7518,7970,8358,8677,8906,9053,9102,9048,
8884,8622,8272,7835,7308,6702,6022,5248,4415,3513,2575,1612,644,-336,-1307,-2280,-3223,-4141,-5009,-5816,
-6539,-7193,-7757,-8235,-8636,-8938,-9141,-9244,-9222,-9114,-8889,-8574,-8171,-7695,-7153,-6539,-5850,-5116,-4323,-3491,
-2644,-1779,-914,-53,818,1677,2515,3341,4138,4889,5588,6236,6827,7362,7833,8252,8583,8830,8971,9023,
8976,8834,8597,8279,7860,7355,6750,6057,5291,4462,3568,2660,1707,740,-244,-1233,-2223,-3179,-4101,-4966,
-5768,-6505,-7163,-7752,-8260,-8669,-8999,-9209,-9310,-9305,-9194,-8997,-8704,-8328,-7866,-7325,-6705,-6021,-5275,-4488,
-3670,-2832,-1973,-1107,-225,652,1528,2388,3211,4008,4754,5457,6124,6735,7301,7789,8214,8551,8808,8961,
9033,9012,8899,8690,8383,7975,7481,6879,6203,5450,4642,3784,2872,1928,955,-40,-1038,-2016,-2974,-3882,
-4747,-5562,-6305,-6987,-7600,-8120,-8545,-8867,-9086,-9202,-9220,-9129,-8962,-8684,-8323,-7869,-7336,-6724,-6048,-5316,
-4554,-3746,-2917,-2061,-1189,-307,573,1447,2297,3116,3902,4654,5379,6051,6681,7249,7747,8167,8512,8772,
8946,9037,9037,8938,8745,8442,8044,7546,6966,6299,5570,4774,3926,3005,2058,1081,84,-909,-1895,-2848,
-3764,-4646,-5479,-6250,-6951,-7575,-8108,-8542,-8875,-9115,-9262,-9294,-9243,-9087,-8831,-8481,-8034,-7503,-6910,-6253,
-5543,-4785,-3990,-3156,-2290,-1421,-531,343,1198,2049,2873,3677,4448,5188,5870,6513,7078,7590,8018,8377,
8660,8864,8976,8993,8904,8719,8427,8041,7570,7023,6379,5664,4875,4025,3116,2164,1191,214,-773,-1747,
-2699,-3631,-4520,-5370,-6155,-6856,-7480,-8017,-8461,-8813,-9075,-9237,-9300,-9248,-9097,-8848,-8503,-8071,-7554,-6983,
-6336,-5623,-4863,-4069,-3223,-2363,-1489,-618,252,1116,1981,2809,3627,4407,5141,5829,6464,7038,7559,8008,
8380,8684,8896,9021,9032,8957,8785,8517,8152,7704,7163,6534,0,4,-611,-1786,-2359,-2327,-1646,-246,
1337,2518,3385,3976,4678,5886,7409,8946,10168,10543,10181,9576,8945,8493,8258,7828,6840,5323,3403,1266,
-825,-2704,-4316,-5660,-6788,-7809,-8793,-9739,-10447,-10816,-10888,-10731,-10389,-10173,-10224,-10350,-10391,-10325,-9896,-8999,
-7914,-6848,-5772,-4857,-4249,-3657,-2846,-1924,-945,172,1298,2268,3129,3998,4923,5942,7083,8260,9239,9869,
10173,10199,10023,9830,9771,9740,9635,9395,8818,7835,6751,5773,4826,3977,3300,2571,1555,347,-911,-2144,
-3203,-3963,-4509,-4998,-5521,-6182,-7003,-7850,-8558,-9019,-9237,-9283,-9257,-9235,-9232,-9149,-8855,-8280,-7448,-6437,
-5379,-4410,-3563,-2833,-2186,-1550,-881,-229,383,955,1421,1749,1988,2218,2477,2820,3239,3687,4129,4524,
4849,5146,5533,6053,6711,7444,8099,8533,8736,8714,8548,8359,8224,8052,7740,7161,6241,5006,3635,2313,
1150,137,-796,-1776,-2906,-4183,-5482,-6627,-7512,-8081,-8373,-8542,-8742,-9005,-9283,-9524,-9554,-9242,-8659,-7962,
-7256,-6641,-6163,-5742,-5240,-4587,-3771,-2830,-1893,-1072,-396,187,758,1440,2324,3403,4575,5744,6794,7643,
8327,8984,9708,10495,11271,11921,12247,12145,11712,11085,10392,9750,9185,8542,7676,6545,5175,3675,2245,1015,
8,-845,-1668,-2622,-3761,-5021,-6257,-7333,-8174,-8790,-9287,-9799,-10385,-11012,-11542,-11839,-11799,-11412,-10779,-10034,
-9293,-8602,-7911,-7135,-6213,-5123,-3919,-2696,-1570,-599,212,908,1537,2144,2757,3347,3883,4332,4668,4915,
5164,5488,5934,6489,7090,7609,7940,8070,8044,7962,7911,7921,7924,7802,7463,6850,6016,5085,4185,3379,
2618,1814,855,-319,-1642,-2981,-4213,-5211,-5964,-6551,-7103,-7700,-8350,-9003,-9528,-9814,-9830,-9623,-9279,-8915,
-8596,-8276,-7884,-7337,-6603,-5708,-4746,-3833,-3019,-2331,-1738,-1159,-506,251,1104,1994,2851,3613,4292,4930,
5617,6399,7291,8235,9099,9779,10227,10474,10613,10755,10943,11105,11108,10850,10247,9340,8276,7204,6220,5322,
4432,3434,2240,872,-572,-1956,-3166,-4148,-4984,-5786,-6658,-7642,-8684,-9646,-10388,-10833,-11005,-10985,-10897,-10826,
-10760,-10609,-10270,-9674,-8830,-7805,-6729,-5696,-4752,-3882,-3032,-2132,-1158,-151,843,1743,2500,3117,3640,4134,
4667,5273,5936,6583,7139,7557,7843,8056,8279,8554,8859,9112,9193,9013,8570,7941,7241,6556,5926,5295,
4558,3630,2504,1240,-31,-1203,-2201,-3051,-3834,-4647,-5536,-6488,-7397,-8157,-8692,-8990,-9113,-9168,-9216,-9278,
-9295,-9186,-8880,-8360,-7677,-6917,-6157,-5447,-4793,-4160,-3496,-2784,-2033,-1268,-542,117,688,1193,1685,2219,
2842,3555,4325,5082,5770,6376,6918,7464,8066,8715,9356,9870,10154,10160,9939,9576,9169,8766,8330,7779,
7011,5993,4783,3485,2228,1104,100,-842,-1821,-2900,-4073,-5264,-6352,-7250,-7930,-8432,-8862,-9296,-9769,-10234,
-10586,-10715,-10576,-10178,-9605,-8963,-8311,-7669,-6985,-6198,-5274,-4227,-3103,-1993,-966,-56,746,1490,2238,3029,
3861,4691,5472,6152,6719,7205,7666,8163,8709,9264,9744,10050,10133,10009,9752,9440,9128,8793,8363,7749,
6899,5847,4665,3474,2360,1341,371,-622,-1714,-2901,-4121,-5276,-6275,-7079,-7712,-8251,-8767,-9296,-9805,-10224,
-10461,-10454,-10219,-9809,-9304,-8764,-8201,-7603,-6935,-6166,-5314,-4421,-3535,-2707,-1963,-1301,-697,-119,471,1078,
1704,2329,2924,3485,4008,4537,5105,5741,6435,7143,7786,8311,8689,8951,9149,9317,9450,9489,9348,8961,
8326,7504,6594,5681,4805,3939,3020,1984,807,-455,-1713,-2873,-3883,-4749,-5537,-6316,-7127,-7961,-8751,-9394,
-9830,-10039,-10070,-9981,-9840,-9667,-9432,-9072,-8542,-7834,-6986,-6058,-5130,-4242,-3406,-2590,-1763,-895,7,928,
1830,2672,3436,4138,4817,5522,6272,7071,7874,8615,9229,9707,10065,10354,10618,10845,10994,10979,10729,10238,
9541,8742,7918,7105,6291,5411,4408,3253,1990,698,-539,-1655,-2650,-3570,-4483,-5440,-6425,-7384,-8225,-8886,
-9337,-9613,-9770,-9866,-9907,-9870,-9693,-9337,-8787,-8078,-7270,-6438,-5617,-4825,-4050,-3272,-2485,-1697,-931,-215,
437,1022,1550,2038,2527,3040,3591,4170,4749,5299,5804,6264,6709,7162,7626,8057,8399,8578,8555,8349,
8002,7585,7134,6633,6040,5300,4384,3321,2180,1047,-12,-990,-1925,-2868,-3863,-4907,-5951,-6917,-7739,-8381,
-8882,-9283,-9639,-9968,-10242,-10401,-10383,-10161,-9756,-9220,-8613,-7983,-7334,-6647,-5893,-5067,-4175,-3261,-2362,-1512,
-720,13,725,1440,2175,2944,3729,4496,5224,5895,6529,7154,7795,8455,9099,9654,10053,10244,10229,10073,
9826,9523,9155,8677,8027,7176,6143,5009,3855,2749,1716,719,-305,-1395,-2557,-3730,-4840,-5818,-6630,-7293,
-7869,-8410,-8949,-9452,-9851,-10078,-10091,-9886,-9531,-9068,-8564,-8010,-7385,-6656,-5807,-4855,-3857,-2872,-1942,-1085,
-290,464,1201,1933,2658,3353,4008,4608,5160,5687,6202,6747,7324,7905,8453,8911,9242,9439,9528,9555,
9538,9468,9293,8952,8402,7651,6757,5798,4842,3910,2981,1996,916,-270,-1505,-2716,-3819,-4784,-5616,-6373,
-7107,-7849,-8572,-9218,-9709,-10000,-10086,-10015,-9845,-9625,-9357,-9015,-8548,-7933,-7181,-6338,-5476,-4630,-3836,-3083,
-2341,-1584,-811,-24,747,1485,2172,2812,3426,4053,4713,5432,6175,6915,7599,8180,8645,9020,9344,9638,
9884,10030,9999,9733,9223,8530,7726,6895,6068,5219,4297,3244,2049,760,-546,-1776,-2875,-3854,-4759,-5662,
-6606,-7565,-8483,-9275,-9873,-10265,-10487,-10609,-10684,-10721,-10680,-10498,-10108,-9507,-8737,-7870,-6988,-6131,-5290,-4442,
-3544,-2600,-1624,-660,242,1056,1787,2456,3111,3782,4490,5224,5951,6617,7206,7701,8136,8547,8959,9373,
9728,9944,9964,9761,9361,8843,8277,7699,7092,6387,5532,4495,3317,2077,871,-230,-1226,-2160,-3108,-4105,
-5163,-6204,-7157,-7935,-8515,-8931,-9258,-9541,-9807,-10018,-10103,-9987,-9646,-9106,-8445,-7741,-7044,-6353,-5647,-4880,
-4035,-3142,-2239,-1385,-611,77,708,1323,1964,2651,3372,4103,4815,5471,6073,6643,7218,7834,8486,9133,
9698,10100,10294,10284,10133,9906,9650,9341,8926,8330,7506,6476,5323,4158,3059,2044,1078,86,-996,-2175,
-3403,-4569,-5596,-6440,-7112,-7691,-8252,-8826,-9399,-9880,-10173,-10221,-10031,-9655,-9195,-8711,-8222,-7687,-7043,-6252,
-5326,-4310,-3301,-2354,-1497,-727,14,769,1566,2409,3242,4030,4734,5353,5918,6480,7084,7752,8446,9096,
9612,9948,10090,10093,10023,9930,9810,9597,9208,8575,7705,6662,5559,4494,3503,2556,1584,506,-701,-1990,
-3275,-4442,-5434,-6254,-6968,-7661,-8388,-9140,-9843,-10395,-10708,-10777,-10642,-10393,-10102,-9803,-9458,-9009,-8390,-7600,
-6682,-5722,-4805,-3970,-3223,-2522,-1813,-1069,-295,479,1207,1858,2430,2943,3455,4020,4663,5376,6104,6775,
7336,7748,8057,8312,8565,8817,9012,9062,8878,8428,7750,6951,6129,5347,4593,3800,2885,1800,564,-719,
-1947,-3026,-3938,-4741,-5512,-6339,-7231,-8126,-8925,-9528,-9886,-10021,-10030,-9989,-9952,-9893,-9736,-9398,-8831,-8060,
-7162,-6244,-5380,-4586,-3825,-3045,-2201,-1283,-332,592,1436,2165,2810,3415,4055,4765,5557,6390,7188,7881,
8439,8885,9277,9672,10098,10509,10812,10892,10700,10247,9618,8927,8250,7606,6924,6107,5101,3898,2580,1268,
68,-974,-1893,-2778,-3722,-4749,-5836,-6870,-7748,-8391,-8808,-9070,-9276,-9489,-9708,-9855,-9836,-9565,-9044,-8337,
-7549,-6768,-6046,-5353,-4637,-3847,-2958,-2019,-1090,-245,484,1098,1645,2188,2785,3451,4164,4867,5504,6042,
6491,6899,7331,7825,8360,8856,9215,9347,9232,8921,8517,8099,7696,7261,6707,5941,4941,3760,2511,1326,
264,-684,-1587,-2544,-3613,-4777,-5946,-7003,-7859,-8488,-8949,-9334,-9728,-10152,-10555,-10828,-10870,-10638,-10170,-9561,
-8923,-8315,-7725,-7107,-6384,-5525,-4552,-3537,-2557,-1683,-928,-259,392,1080,1845,2663,3489,4263,4941,5520,
6057,6610,7234,7935,8647,9275,9718,9928,9920,9782,9605,9440,9254,8964,8465,7692,6686,5549,4406,3354,
2418,1532,596,-472,-1673,-2939,-4153,-5200,-6027,-6675,-7229,-7797,-8421,-9067,-9637,-10009,-10109,-9940,-9579,-9136,
-8683,-8250,-7782,-7198,-6440,-5516,-4485,-3447,-2491,-1653,-925,-247,452,1198,1994,2791,3542,4193,4745,5226,
5711,6258,6897,7600,8289,8865,9263,9474,9558,9600,9655,9710,9693,9499,9042,8306,7371,6363,5383,4489,
3644,2758,1735,546,-770,-2088,-3296,-4314,-5148,-5871,-6586,-7363,-8199,-9012,-9683,-10110,-10273,-10220,-10047,-9845,
-9656,-9441,-9118,-8610,-7893,-7001,-6037,-5091,-4235,-3469,-2759,-2032,-1255,-409,461,1299,2045,2686,3246,3773,
4350,5018,5770,6554,7285,7884,8330,8646,8912,9189,9494,9771,9906,9797,9397,8745,7952,7134,6363,5638,
4873,3972,2877,1606,258,-1038,-2185,-3150,-3992,-4809,-5690,-6653,-7642,-8554,-9263,-9713,-9932,-10000,-10021,-10056,
-10079,-10016,-9767,-9266,-8530,-7646,-6713,-5825,-5013,-4253,-3478,-2636,-1717,-749,194,1059,1792,2413,2970,3538,
4166,4878,5637,6380,7033,7559,7974,8333,8717,9154,9599,9979,10173,10106,9778,9263,8673,8093,7543,6960,
6247,5329,4194,2919,1622,421,-635,-1563,-2453,-3395,-4444,-5560,-6649,-7593,-8313,-8807,-9134,-9397,-9664,-9944,
-10173,-10244,-10078,-9656,-9022,-8284,-7538,-6833,-6165,-5479,-4717,-3856,-2918,-1963,-1065,-277,392,983,1560,2173,
2859,3607,4370,5085,5707,6239,6724,7229,7797,8428,9047,9556,9851,9897,9732,9449,9134,8821,8475,8013,
7332,6411,5280,4055,2860,1774,798,-130,-1111,-2202,-3399,-4621,-5755,-6704,-7441,-7999,-8476,-8961,-9480,-9987,
-10391,-10578,-10501,-10177,-9686,-9130,-8578,-8030,-7457,-6771,-5946,-4985,-3949,-2923,-1981,-1152,-423,265,967,1728,
2540,3357,4131,4818,5403,5925,6448,7028,7685,8375,9020,9511,9798,9882,9831,9727,9624,9499,9277,8867,
8203,7293,6227,5125,4076,3118,2199,1240,163,-1051,-2339,-3596,-4711,-5642,-6399,-7052,-7701,-8386,-9093,-9737,
-10212,-10448,-10431,-10219,-9898,-9550,-9201,-8810,-8318,-7662,-6849,-5909,-4930,-3992,-3147,-2394,-1698,-1002,-268,511,
1306,2078,2772,3376,3914,4436,5004,5644,6366,7092,7742,8261,8614,8841,9011,9173,9329,9425,9361,9058,
8496,7723,6845,5959,5116,4303,3444,2461,1325,63,-1231,-2451,-3516,-4418,-5220,-6002,-6821,-7693,-8544,-9285,
-9819,-10118,-10208,-10171,-10080,-9971,-9821,-9571,-9147,-8517,-7709,-6796,-5862,-4973,-4155,-3385,-2615,-1796,-932,-38,
837,1646,2357,2984,3571,4175,4841,5583,6365,7116,7770,8298,8709,9060,9404,9761,10077,10283,10278,10023,
9529,8881,8170,7470,6770,6029,5166,4136,2945,1670,415,-737,-1751,-2661,-3544,-4460,-5444,-6447,-7379,-8159,
-8730,-9103,-9330,-9494,-9635,-9743,-9761,-9615,-9257,-8685,-7953,-7152,-6341,-5573,-4824,-4066,-3258,-2397,-1491,-600,
241,987,1644,2232,2812,3420,4090,4802,5513,6176,6749,7243,7693,8141,8621,9105,9537,9826,9901,9757,
9434,9008,8542,8056,7514,6848,6001,4964,3801,2588,1428,362,-618,-1573,-2564,-3625,-4728,-5809,-6781,-7580,
-8199,-8677,-9082,-9467,-9831,-10132,-10298,-10258,-9993,-9537,-8962,-8330,-7688,-7038,-6356,-5592,-4739,-3815,-2869,-1946,
-1092,-330,363,1027,1703,2414,3156,3908,4629,5285,5872,6414,6962,7541,8156,8757,9268,9620,9778,9756,
9613,9403,9152,8833,8392,7773,6944,5941,4848,3742,2694,1699,725,-295,-1393,-2560,-3735,-4845,-5816,-6627,
-7309,-7912,-8490,-9060,-9586,-10003,-10238,-10259,-10074,-9734,-9307,-8828,-8317,-7738,-7060,-6268,-5373,-4418,-3457,-2544,
-1704,-933,-205,509,1231,1978,2715,3427,4081,4682,5237,5793,6376,7005,7660,8283,8808,9202,9450,9589,
9656,9668,9631,9479,9153,8621,7888,7013,6070,5122,4198,3264,2272,1189,11,-1210,-2408,-3513,-4482,-5336,
-6116,-6875,-7630,-8361,-9018,-9530,-9851,-9982,-9954,-9822,-9618,-9354,-9015,-8561,-7962,-7228,-6391,-5510,-4626,-3781,
-2983,-2211,-1448,-677,106,881,1636,2337,2985,3588,4180,4793,5446,6131,6822,7464,8016,8462,8815,9109,
9362,9559,9663,9613,9361,8900,8268,7531,6747,5934,5094,4178,3154,2013,792,-442,-1619,-2704,-3697,-4624,
-5534,-6454,-7367,-8225,-8970,-9554,-9967,-10227,-10376,-10450,-10459,-10380,-10162,-9777,-9227,-8535,-7749,-6925,-6093,-5270,
-4447,-3611,-2760,-1896,-1042,-220,549,1261,1920,2553,3188,3837,4519,5205,5877,6494,7049,7546,8005,8440,
8852,9197,9426,9488,9360,9064,8636,8124,7561,6931,6204,5345,4352,3247,2091,943,-146,-1175,-2168,-3155,
-4161,-5179,-6160,-7065,-7832,-8454,-8941,-9327,-9650,-9910,-10080,-10118,-9994,-9681,-9212,-8619,-7956,-7250,-6509,-5734,
-4920,-4061,-3176,-2288,-1431,-616,143,857,1535,2205,2880,3565,4255,4938,5590,6214,6804,7382,7961,8535,
9069,9534,9867,10045,10062,9947,9735,9442,9055,8545,7881,7053,6081,5020,3925,2846,1791,746,-313,-1416,
-2552,-3682,-4748,-5704,-6536,-7258,-7892,-8479,-9016,-9490,-9841,-10031,-10037,-9869,-9564,-9156,-8673,-8128,-7503,-6792,
-5986,-5117,-4220,-3315,-2448,-1628,-846,-93,645,1374,2092,2798,3479,4123,4739,5336,5927,6528,7143,7744,
8308,8780,9133,9369,9490,9529,9483,9350,9087,8662,8054,7280,6389,5437,4458,3481,2485,1442,327,-842,
-2033,-3187,-4250,-5212,-6077,-6873,-7637,-8372,-9055,-9643,-10082,-10350,-10442,-10395,-10241,-10007,-9691,-9275,-8733,-8065,
-7286,-6439,-5565,-4704,-3864,-3052,-2247,-1453,-662,116,868,1579,2256,2893,3513,4138,4785,5454,6129,6785,
7398,7932,8387,8761,9080,9343,9531,9598,9507,9222,8754,8140,7430,6666,5865,5014,4080,3043,1910,723,
-460,-1586,-2624,-3587,-4503,-5403,-6303,-7175,-7976,-8653,-9165,-9518,-9739,-9857,-9907,-9877,-9735,-9450,-8997,-8387,
-7656,-6860,-6041,-5221,-4399,-3559,-2699,-1813,-931,-78,721,1465,2152,2819,3477,4147,4837,5534,6220,6867,
7464,8001,8494,8960,9399,9790,10094,10253,10232,10023,9655,9176,8626,8011,7326,6532,5600,4531,3371,2182,
1023,-77,-1113,-2121,-3138,-4172,-5211,-6202,-7087,-7829,-8415,-8877,-9248,-9568,-9826,-9985,-9999,-9830,-9475,-8960,
-8350,-7686,-6996,-6278,-5516,-4695,-3820,-2913,-2023,-1179,-404,312,993,1659,2333,3022,3716,4399,5047,5650,
6220,6768,7315,7877,8428,8930,9329,9577,9657,9583,9395,9129,8799,8377,7829,7118,6234,5211,4116,3011,
1946,915,-102,-1157,-2261,-3401,-4528,-5579,-6496,-7270,-7926,-8511,-9058,-9573,-10019,-10343,-10484,-10420,-10176,-9798,
-9342,-8840,-8293,-7666,-6940,-6107,-5193,-4249,-3329,-2465,-1658,-908,-164,582,1349,2119,2872,3581,4240,4851,
5448,6053,6692,7355,8001,8582,9047,9359,9533,9607,9600,9537,9396,9123,8671,8016,7181,6228,5237,4247,
3281,2315,1293,194,-995,-2198,-3361,-4412,-5336,-6135,-6871,-7584,-8296,-8975,-9558,-9981,-10203,-10228,-10095,-9867,
-9587,-9247,-8825,-8269,-7569,-6733,-5813,-4877,-3978,-3134,-2336,-1559,-765,46,865,1661,2400,3074,3688,4271,
4866,5490,6168,6862,7531,8119,8604,8974,9260,9498,9700,9853,9902,9774,9438,8890,8173,7372,6545,5720,
4870,3951,2917,1768,534,-697,-1853,-2891,-3813,-4670,-5520,-6385,-7258,-8071,-8760,-9261,-9561,-9703,-9742,-9728,
-9669,-9528,-9258,-8807,-8174,-7405,-6559,-5711,-4896,-4113,-3335,-2526,-1675,-794,75,902,1648,2317,2936,3548,
4188,4881,5609,6336,7013,7600,8100,8528,8925,9310,9680,9982,10144,10096,9827,9363,8778,8132,7473,6774,
6000,5089,4015,2818,1566,346,-781,-1802,-2758,-3710,-4701,-5731,-6749,-7674,-8435,-9005,-9406,-9700,-9937,-10152,
-10303,-10340,-10188,-9818,-9256,-8558,-7814,-7062,-6330,-5585,-4791,-3930,-3002,-2053,-1142,-308,430,1094,1730,2375,
3063,3794,4527,5230,5862,6420,6925,7407,7907,8434,8940,9355,9608,9656,9505,9208,8826,8417,7967,7433,
6753,5883,4839,3686,2515,1400,371,-598,-1567,-2592,-3683,-4800,-5874,-6816,-7581,-8177,-8657,-9089,-9506,-9899,
-10205,-10348,-10270,-9969,-9496,-8928,-8321,-7717,-7082,-6385,-5587,-4685,-3720,-2758,-1853,-1040,-307,367,1044,1753,
2501,3260,3998,4680,5287,5840,6386,6957,7578,8224,8840,9346,9685,9831,9827,9727,9584,9405,9142,8735,
8122,7290,6290,5208,4136,3123,2158,1185,149,-984,-2198,-3408,-4525,-5489,-6290,-6968,-7591,-8212,-8842,-9428,
-9887,-10146,-10177,-10001,-9687,-9308,-8911,-8477,-7966,-7324,-6530,-5611,-4644,-3685,-2797,-1997,-1254,-525,229,1016,
1830,2622,3354,4001,4583,5131,5704,6332,7018,7712,8345,8854,9210,9418,9537,9608,9660,9658,9530,9207,
8646,7877,6968,6020,5094,4207,3307,2334,1243,30,-1235,-2462,-3570,-4522,-5346,-6103,-6876,-7664,-8453,-9167,
-9711,-10037,-10141,-10086,-9946,-9771,-9560,-9274,-8850,-8245,-7465,-6570,-5641,-4740,-3909,-3139,-2385,-1605,-785,69,
910,1703,2403,3025,3595,4168,4791,5481,6212,6932,7575,8100,8504,8824,9112,9401,9663,9840,9851,9632,
9172,8533,7796,7041,6294,5535,4697,3713,2578,1333,68,-1123,-2192,-3135,-4005,-4882,-5799,-6752,-7676,-8475,
-9083,-9479,-9702,-9822,-9896,-9950,-9939,-9795,-9462,-8917,-8191,-7370,-6528,-5720,-4953,-4194,-3407,-2559,-1656,-743,
127,914,1598,2215,2808,3427,4101,4832,5574,6276,6889,7405,7853,8273,8703,9155,9566,9859,9952,9814,
9470,8982,8439,7876,7292,6625,5807,4810,3649,2415,1191,61,-962,-1914,-2864,-3866,-4926,-5991,-6988,-7827,
-8470,-8933,-9287,-9588,-9875,-10120,-10271,-10237,-9981,-9512,-8888,-8188,-7483,-6797,-6102,-5362,-4538,-3634,-2688,-1756,
-886,-118,564,1193,1828,2503,3226,3972,4695,5360,5943,6464,6963,7482,8047,8624,9140,9517,9696,9664,
9481,9209,8899,8555,8135,7567,6799,5829,4722,3571,2457,1425,447,-520,-1552,-2666,-3832,-4971,-5997,-6855,
-7543,-8110,-8617,-9122,-9613,-10043,-10326,-10392,-10233,-9885,-9408,-8886,-8352,-7792,-7172,-6445,-5597,-4653,-3680,-2741,
-1885,-1116,-410,277,990,1743,2522,3287,3998,4635,5204,5746,6305,6917,7574,8223,8791,9210,9449,9530,
9510,9442,9340,9171,8868,8365,7641,6730,5714,4678,3686,2741,1791,777,-339,-1541,-2770,-3935,-4962,-5833,
-6574,-7257,-7931,-8615,-9269,-9825,-10192,-10337,-10271,-10053,-9757,-9418,-9038,-8589,-8019,-7296,-6434,-5497,-4537,-3632,
-2798,-2030,-1298,-551,227,1024,1817,2562,3230,3831,4385,4946,5558,6224,6923,7600,8187,8640,8961,9188,
9366,9521,9630,9635,9463,9064,8447,7674,6825,5969,5125,4273,3345,2301,1133,-105,-1330,-2469,-3480,-4365,
-5183,-5993,-6824,-7657,-8430,-9062,-9504,-9735,-9807,-9771,-9686,-9557,-9352,-9022,-8527,-7857,-7048,-6174,-5292,-4459,
-3674,-2903,-2127,-1314,-470,376,1188,1928,2590,3189,3777,4386,5056,5770,6494,7171,7755,8233,8629,8977,
9320,9643,9892,9999,9904,9584,9079,8445,7762,7062,6332,5523,4584,3498,2297,1054,-155,-1264,-2278,-3217,
-4151,-5106,-6090,-7052,-7920,-8622,-9146,-9499,-9740,-9917,-10055,-10124,-10079,-9859,-9439,-8844,-8124,-7351,-6570,-5805,
-5047,-4260,-3426,-2544,-1643,-769,47,783,1446,2067,2691,3345,4045,4763,5466,6107,6675,7173,7644,8111,
8584,9029,9387,9589,9588,9394,9060,8629,8155,7633,7025,6284,5379,4322,3170,2005,882,-167,-1157,-2144,
-3162,-4225,-5291,-6306,-7198,-7933,-8514,-8979,-9379,-9741,-10050,-10264,-10325,-10188,-9856,-9361,-8764,-8122,-7457,-6769,
-6030,-5224,-4348,-3422,-2493,-1605,-788,-42,649,1325,2007,2723,3457,4182,4869,5501,6079,6628,7182,7765,
8355,8903,9345,9639,9759,9727,9584,9376,9102,8743,8240,7565,6712,5714,4646,3574,2537,1535,521,-531,
-1645,-2796,-3927,-4982,-5906,-6693,-7374,-7990,-8571,-9118,-9596,-9949,-10125,-10100,-9901,-9571,-9151,-8682,-8161,-7563,
-6870,-6072,-5186,-4262,-3338,-2462,-1647,-881,-151,586,1335,2091,2839,3555,4216,4828,5408,5994,6607,7241,
7876,8460,8934,9282,9494,9601,9637,9610,9494,9255,8841,8234,7456,6564,5623,4669,3713,2742,1709,607,
-568,-1760,-2911,-3968,-4914,-5766,-6549,-7308,-8043,-8734,-9329,-9770,-10041,-10134,-10084,-9930,-9702,-9397,-9001,-8482,
-7834,-7063,-6207,-5315,-4430,-3580,-2758,-1964,-1170,-376,427,1216,1974,2680,3337,3960,4574,5205,5867,6543,
7210,7815,8336,8760,9101,9377,9603,9750,9795,9680,9383,8897,8268,7534,6755,5935,5068,4126,3088,1960,
779,-406,-1541,-2592,-3566,-4490,-5394,-6285,-7149,-7946,-8630,-9163,-9537,-9775,-9906,-9957,-9920,-9780,-9512,-9090,
-8517,-7826,-7053,-6240,-5412,-4593,-3774,-2939,-2098,-1243,-401,406,1168,1883,2547,3191,3835,4498,5175,5853,
6507,7110,7648,8133,8575,8975,9331,9608,9756,9744,9554,9205,8731,8172,7543,6834,6033,5113,4080,2959,
1802,653,-450,-1512,-2533,-3543,-4561,-5562,-6514,-7382,-8122,-8734,-9219,-9603,-9909,-10138,-10265,-10257,-10094,-9767,
-9291,-8705,-8040,-7324,-6571,-5782,-4954,-4094,-3212,-2326,-1460,-640,131,862,1560,2248,2929,3624,4315,4991,
5639,6257,6839,7399,7941,8463,8937,9324,9586,9699,9668,9506,9240,8884,8432,7858,7150,6302,5340,4302,
3231,2165,1118,71,-987,-2065,-3152,-4216,-5213,-6115,-6904,-7595,-8205,-8747,-9217,-9606,-9868,-9985,-9939,-9736,
-9400,-8962,-8439,-7846,-7177,-6435,-5617,-4748,-3857,-2967,-2094,-1264,-468,297,1043,1776,2503,3213,3904,4574,
5215,5834,6447,7057,7663,8243,8772,9217,9550,9766,9870,9870,9782,9584,9254,8771,8135,7355,6467,5516,
4531,3527,2491,1418,298,-853,-2010,-3117,-4156,-5105,-5980,-6783,-7544,-8245,-8883,-9410,-9800,-10037,-10127,-10075,
-9918,-9660,-9303,-8839,-8262,-7575,-6799,-5962,-5099,-4234,-3384,-2550,-1732,-927,-136,633,1378,2087,2770,3418,
4053,4686,5322,5959,6592,7200,7758,8249,8662,9002,9263,9446,9535,9496,9310,8956,8447,7811,7078,6279,
5429,4509,3523,2454,1328,170,-976,-2073,-3107,-4083,-5010,-5913,-6783,-7596,-8324,-8929,-9396,-9727,-9931,-10033,
-10041,-9944,-9724,-9367,-8869,-8240,-7523,-6745,-5937,-5114,-4273,-3424,-2563,-1700,-862,-46,727,1459,2162,2839,
3509,4181,4859,5533,6189,6819,7411,7958,8456,8921,9327,9664,9898,9992,9930,9707,9342,8868,8305,7656,
6919,6071,5114,4058,2938,1796,674,-405,-1456,-2490,-3513,-4530,-5516,-6437,-7255,-7953,-8524,-8990,-9372,-9666,
-9871,-9960,-9897,-9672,-9292,-8787,-8190,-7529,-6824,-6072,-5271,-4421,-3542,-2656,-1797,-972,-193,537,1245,1939,
2629,3317,3994,4655,5289,5893,6472,7033,7587,8125,8621,9046,9367,9547,9583,9491,9283,8984,8588,8080,
7446,6667,5747,4736,3666,2590,1522,467,-595,-1681,-2791,-3894,-4951,-5933,-6799,-7554,-8211,-8801,-9336,-9795,
-10160,-10380,-10432,-10316,-10049,-9668,-9207,-8677,-8073,-7386,-6610,-5757,-4859,-3952,-3074,-2238,-1441,-674,82,832,
1581,2313,3018,3689,4324,4937,5547,6167,6798,7424,8018,8532,8945,9243,9423,9510,9508,9428,9229,8889,
8385,7711,6899,5999,5050,4085,3109,2098,1036,-83,-1240,-2390,-3479,-4474,-5370,-6182,-6936,-7656,-8337,-8946,
-9434,-9763,-9919,-9918,-9791,-9569,-9274,-8891,-8405,-7788,-7053,-6223,-5342,-4457,-3596,-2768,-1964,-1164,-359,453,
1241,2001,2710,3371,3999,4614,5248,5901,6567,7225,7843,8385,8836,9196,9480,9713,9879,9952,9888,9660,
9239,8652,7939,7153,6325,5461,4545,3544,2451,1281,77,-1101,-2209,-3230,-4172,-5074,-5956,-6833,-7667,-8410,
-9015,-9456,-9744,-9890,-9952,-9940,-9840,-9630,-9274,-8758,-8094,-7335,-6529,-5714,-4911,-4116,-3310,-2480,-1625,-780,
43,810,1512,2165,2799,3430,4088,4773,5462,6133,6751,7302,7789,8227,8640,9018,9341,9563,9630,9517,
9220,8772,8222,7612,6944,6208,5364,4397,3313,2152,967,-171,-1245,-2256,-3234,-4212,-5201,-6182,-7109,-7926,
-8595,-9104,-9489,-9788,-10022,-10187,-10262,-10187,-9931,-9497,-8915,-8239,-7522,-6786,-6039,-5260,-4420,-3534,-2615,-1709,
-848,-54,674,1359,2036,2729,3441,4167,4880,5554,6171,6733,7269,7792,8321,8830,9276,9614,9792,9791,
9631,9349,8995,8571,8069,7451,6681,5753,4700,3582,2460,1381,346,-664,-1694,-2762,-3855,-4932,-5926,-6795,
-7518,-8117,-8625,-9087,-9509,-9854,-10077,-10130,-9985,-9656,-9197,-8664,-8089,-7476,-6807,-6063,-5231,-4324,-3390,-2476,
-1624,-837,-106,598,1312,2043,2787,3526,4219,4866,5458,6023,6589,7176,7784,8379,8904,9306,9559,9656,
9640,9536,9369,9131,8778,8260,7560,6685,5700,4665,3638,2641,1649,625,-459,-1611,-2783,-3918,-4952,-5853,
-6629,-7326,-7976,-8611,-9207,-9708,-10064,-10226,-10189,-10004,-9700,-9343,-8929,-8450,-7871,-7166,-6340,-5435,-4509,-3607,
-2764,-1980,-1223,-464,315,1109,1897,2649,3342,3973,4565,5154,5770,6429,7101,7753,8323,8781,9102,9317,
9456,9549,9577,9511,9290,8874,8259,7481,6610,5708,4803,3894,2941,1904,769,-434,-1643,-2788,-3827,-4742,
-5576,-6375,-7166,-7954,-8688,-9306,-9755,-10015,-10096,-10060,-9941,-9770,-9531,-9178,-8680,-8022,-7227,-6357,-5468,-4612,
-3797,-3008,-2213,-1395,-548,299,1116,1875,2557,3183,3785,4403,5064,5763,6468,7131,7712,8193,8584,8913,
9208,9474,9674,9751,9649,9337,8838,8199,7488,6751,5983,5164,4245,3200,2043,828,-372,-1494,-2518,-3463,
-4368,-5277,-6204,-7116,-7953,-8650,-9171,-9515,-9732,-9864,-9940,-9957,-9874,-9639,-9223,-8632,-7911,-7121,-6322,-5534,
-4767,-3975,-3150,-2274,-1380,-498,328,1080,1760,2397,3032,3693,4397,5124,5836,6497,7080,7585,8051,8494,
8936,9352,9688,9880,9883,9682,9322,8853,8329,7760,7129,6385,5498,4458,3311,2128,976,-103,-1116,-2092,
-3078,-4106,-5152,-6162,-7069,-7825,-8419,-8876,-9243,-9570,-9845,-10044,-10112,-9991,-9674,-9180,-8575,-7911,-7235,-6541,
-5815,-5029,-4171,-3255,-2324,-1424,-598,154,842,1511,2189,2902,3637,4371,5067,5702,6272,6799,7320,7859,
8412,8932,9357,9629,9724,9646,9449,9169,8839,8440,7930,7260,6415,5411,4321,3209,2136,1114,114,-907,
-1976,-3102,-4227,-5293,-6239,-7033,-7696,-8267,-8796,-9300,-9749,-10098,-10282,-10266,-10049,-9691,-9223,-8721,-8176,-7586,
-6911,-6131,-5254,-4323,-3384,-2491,-1670,-912,-193,523,1266,2031,2791,3525,4202,4819,5390,5955,6546,7170,
7800,8393,8881,9226,9419,9490,9476,9408,9274,9042,8653,8072,7299,6392,5407,4419,3448,2492,1500,439,
-700,-1885,-3054,-4141,-5103,-5936,-6679,-7382,-8066,-8731,-9326,-9786,-10067,-10150,-10063,-9853,-9567,-9232,-8834,-8335,
-7707,-6948,-6083,-5169,-4255,-3393,-2581,-1810,-1045,-270,535,1334,2116,2841,3498,4104,4692,5295,5938,6616,
7293,7916,8435,8835,9127,9341,9505,9620,9658,9558,9272,8783,8116,7328,6486,5630,4760,3850,2858,1758,
579,-632,-1811,-2893,-3869,-4754,-5598,-6432,-7261,-8060,-8766,-9316,-9691,-9890,-9953,-9923,-9830,-9677,-9420,-9020,
-8460,-7752,-6941,-6084,-5233,-4411,-3620,-2828,-2014,-1181,-327,508,1289,2008,2658,3273,3887,4527,5208,5909,
6593,7221,7759,8208,8600,8952,9279,9552,9728,9751,9577,9207,8683,8064,7394,6685,5916,5061,4078,2973,
1794,604,-542,-1607,-2596,-3541,-4485,-5441,-6390,-7281,-8062,-8688,-9151,-9472,-9700,-9863,-9963,-9971,-9842,-9545,
-9070,-8446,-7728,-6967,-6200,-5432,-4651,-3834,-2979,-2087,-1196,-339,450,1174,1844,2492,3147,3832,4545,5258,
5932,6554,7103,7602,8085,8553,9006,9409,9691,9814,9752,9522,9165,8734,8242,7672,7007,6197,5242,4168,
3030,1890,798,-242,-1257,-2274,-3312,-4370,-5406,-6372,-7206,-7898,-8456,-8920,-9318,-9666,-9940,-10092,-10078,-9883,
-9509,-9009,-8417,-7786,-7119,-6415,-5652,-4827,-3939,-3029,-2126,-1269,-482,250,946,1632,2331,3050,3769,4471,
5130,5736,6299,6848,7406,7968,8515,8999,9366,9582,9638,9571,9405,9160,8842,8414,7842,7104,6207,5208,
4158,3110,2075,1058,22,-1054,-2170,-3297,-4385,-5379,-6256,-7016,-7684,-8292,-8853,-9366,-9779,-10059,-10159,-10080,
-9847,-9498,-9069,-8585,-8025,-7390,-6663,-5838,-4951,-4041,-3142,-2287,-1489,-725,16,759,1517,2270,3004,3699,
4347,4958,5551,6148,6768,7398,8003,8542,8972,9277,9470,9559,9578,9520,9359,9055,8579,7937,7143,6252,
5318,4367,3400,2400,1340,220,-943,-2108,-3214,-4235,-5152,-5988,-6774,-7524,-8231,-8875,-9409,-9788,-10003,-10060,
-9984,-9808,-9551,-9210,-8768,-8207,-7527,-6741,-5886,-5005,-4135,-3290,-2478,-1678,-885,-81,710,1489,2229,2926,
3575,4195,4813,5450,6101,6760,7387,7954,8427,8819,9130,9375,9556,9650,9625,9443,9086,8559,7906,7164,
6365,5520,4619,3644,2581,1447,282,-878,-1984,-3018,-3985,-4905,-5803,-6669,-7496,-8239,-8863,-9342,-9673,-9877,
-9970,-9980,-9889,-9692,-9362,-8889,-8286,-7574,-6795,-5978,-5157,-4336,-3508,-2677,-1839,-998,-169,623,1375,2075,
2739,3388,4038,4704,5381,6052,6691,7282,7809,8284,8706,9090,9413,9642,9740,9681,9457,9089,8598,8021,
7369,6631,5799,4858,3822,2710,1573,446,-644,-1691,-2715,-3714,-4709,-5677,-6589,-7410,-8111,-8687,-9143,-9505,
-9776,-9954,-10028,-9969,-9759,-9398,-8900,-8297,-7622,-6896,-6134,-5338,-4509,-3651,-2776,-1906,-1056,-242,523,1249,
1946,2630,3314,3999,4685,5352,5991,6594,7159,7700,8216,8699,9121,9452,9656,9720,9636,9434,9122,8708,
8196,7567,6810,5931,4947,3895,2823,1740,670,-397,-1471,-2550,-3623,-4660,-5629,-6509,-7288,-7964,-8557,-9074,
-9508,-9841,-10056,-10122,-10039,-9805,-9449,-8989,-8444,-7823,-7132,-6375,-5558,-4699,-3819,-2941,-2081,-1261,-472,289,
1026,1754,2471,3174,3861,4526,5168,5790,6397,6991,7576,8128,8624,9033,9336,9528,9601,9569,9434,9186,
8810,8294,7638,6854,5968,5019,4031,3015,1967,890,-218,-1341,-2453,-3528,-4535,-5462,-6316,-7101,-7825,-8480,
-9051,-9514,-9850,-10040,-10092,-10007,-9806,-9500,-9092,-8582,-7968,-7261,-6480,-5647,-4784,-3912,-3054,-2210,-1388,-580,
207,977,1719,2444,3142,3818,4468,5117,5762,6401,7026,7620,8164,8645,9043,9355,9580,9712,9736,9635,
9395,8999,8460,7800,7046,6217,5323,4364,3350,2270,1153,14,-1108,-2193,-3228,-4211,-5144,-6029,-6871,-7644,
-8323,-8895,-9341,-9656,-9855,-9939,-9913,-9771,-9509,-9116,-8600,-7978,-7268,-6499,-5688,-4860,-4011,-3159,-2310,-1467,
-645,150,919,1650,2357,3046,3719,4384,5044,5696,6337,6943,7519,8045,8526,8944,9298,9566,9727,9753,
9638,9374,8983,8481,7874,7173,6383,5490,4508,3450,2349,1231,117,-968,-2027,-3065,-4083,-5067,-6007,-6871,
-7640,-8305,-8854,-9302,-9658,-9908,-10053,-10069,-9948,-9676,-9274,-8761,-8155,-7483,-6748,-5971,-5147,-4293,-3416,-2546,
-1696,-879,-92,664,1399,2115,2820,3513,4194,4856,5499,6118,6718,7295,7846,8364,8823,9198,9469,9615,
9630,9522,9296,8962,8518,7956,7268,6456,5540,4542,3494,2435,1368,297,-782,-1870,-2956,-4017,-5024,-5953,
-6786,-7528,-8184,-8765,-9268,-9679,-9974,-10128,-10127,-9980,-9702,-9319,-8843,-8286,-7648,-6926,-6129,-5276,-4399,-3519,
-2666,-1830,-1027,-245,524,1285,2023,2740,3433,4096,4739,5368,5992,6616,7225,7813,8346,8800,9162,9414,
9565,9617,9565,9410,9124,8697,8119,7398,6575,5668,4719,3734,2716,1664,570,-561,-1695,-2799,-3846,-4815,
-5704,-6527,-7293,-8014,-8657,-9204,-9626,-9905,-10030,-10026,-9897,-9680,-9362,-8939,-8405,-7758,-7015,-6195,-5342,-4488,
-3642,-2811,-1986,-1171,-356,445,1219,1958,2657,3322,3968,4611,5259,5916,6568,7193,7766,8270,8701,9054,
9331,9537,9653,9656,9512,9211,8751,8150,7445,6666,5828,4933,3972,2936,1831,684,-476,-1601,-2665,-3661,
-4609,-5517,-6399,-7236,-8004,-8664,-9192,-9578,-9832,-9973,-10017,-9964,-9810,-9522,-9096,-8530,-7852,-7102,-6307,-5500,
-4686,-3865,-3020,-2167,-1312,-476,328,1079,1784,2458,3121,3784,4462,5141,5809,6451,7043,7578,8066,8511,
8910,9257,9518,9657,9648,9471,9143,8692,8144,7517,6817,6024,5127,4120,3032,1898,765,-341,-1400,-2420,
-3421,-4416,-5395,-6334,-7192,-7939,-8550,-9040,-9420,-9716,-9931,-10051,-10049,-9896,-9577,-9111,-8530,-7870,-7173,-6438,
-5669,-4856,-4005,-3120,-2228,-1364,-545,220,940,1638,2330,3032,3744,4444,5120,5763,6364,6929,7473,8001,
8511,8975,9352,9603,9712,9663,9486,9198,8823,8365,7799,7102,6272,5315,4268,3181,2094,1035,-10,-1056,
-2115,-3192,-4259,-5278,-6209,-7017,-7711,-8306,-8824,-9280,-9670,-9951,-10098,-10070,-9872,-9531,-9082,-8557,-7980,-7342,
-6639,-5852,-4998,-4101,-3194,-2322,-1496,-720,22,754,1490,2228,2962,3676,4346,4975,5571,6154,6743,7337,
7923,8465,8917,9253,9454,9530,9505,9393,9198,8898,8461,7868,7115,6227,5259,4257,3245,2240,1212,147,
-966,-2111,-3240,-4309,-5277,-6139,-6903,-7607,-8263,-8876,-9418,-9837,-10099,-10190,-10113,-9909,-9613,-9244,-8803,-8271,
-7628,-6877,-6034,-5147,-4256,-3394,-2574,-1783,-1006,-230,559,1346,2110,2827,3495,4124,4734,5352,5984,6642,
7286,7882,8387,8793,9096,9306,9445,9516,9499,9357,9054,8574,7928,7154,6307,5428,4525,3587,2584,1507,
364,-809,-1962,-3039,-4028,-4928,-5773,-6584,-7375,-8120,-8783,-9308,-9675,-9877,-9938,-9895,-9770,-9566,-9269,-8841,
-8271,-7571,-6771,-5927,-5072,-4240,-3427,-2621,-1801,-971,-127,693,1476,2199,2866,3504,4135,4780,5457,6141,
6810,7424,7962,8420,8803,9137,9430,9656,9786,9773,9584,9211,8686,8054,7349,6600,5802,4922,3940,2855,
1698,518,-631,-1707,-2715,-3675,-4602,-5530,-6443,-7303,-8070,-8687,-9155,-9477,-9690,-9827,-9892,-9866,-9715,-9405,
-8934,-8320,-7605,-6846,-6078,-5301,-4518,-3701,-2856,-1980,-1105,-263,524,1252,1926,2583,3240,3920,4620,5324,
5993,6609,7161,7663,8127,8570,8990,9351,9604,9702,9627,9384,9007,8542,8009,7410,6718,5903,4957,3896,
2765,1622,516,-541,-1557,-2564,-3577,-4605,-5613,-6561,-7389,-8082,-8635,-9081,-9449,-9760,-9997,-10129,-10109,-9908,
-9534,-9024,-8421,-7774,-7092,-6384,-5623,-4799,-3916,-3004,-2098,-1234,-438,308,1013,1709,2419,3148,3879,4594,
5261,5877,6445,6990,7537,8083,8607,9074,9420,9618,9661,9561,9356,9075,8718,8265,7683,6944,6052,5048,
3986,2918,1870,851,-174,-1226,-2316,-3425,-4502,-5496,-6378,-7129,-7776,-8352,-8880,-9358,-9754,-10017,-10113,-10029,
-9775,-9403,-8948,-8438,-7874,-7239,-6510,-5695,-4806,-3886,-2984,-2128,-1323,-563,174,917,1679,2437,3184,3889,
4541,5150,5738,6322,6926,7544,8140,8667,9084,9366,9527,9575,9547,9448,9263,8948,8470,7817,7012,6100,
5134,4161,3189,2198,1160,59,-1084,-2247,-3366,-4392,-5308,-6125,-6877,-7586,-8264,-8892,-9421,-9803,-10008,-10045,
-9940,-9731,-9446,-9090,-8655,-8101,-7428,-6643,-5780,-4888,-4012,-3170,-2366,-1581,-795,4,811,1602,2362,3065,
3714,4330,4941,5572,6228,6893,7528,8099,8565,8926,9199,9404,9546,9616,9581,9396,9029,8486,7797,7015,
6176,5318,4426,3470,2431,1310,136,-1042,-2164,-3205,-4156,-5041,-5893,-6732,-7540,-8286,-8918,-9398,-9714,-9876,
-9925,-9894,-9786,-9584,-9265,-8803,-8197,-7468,-6661,-5825,-4995,-4178,-3376,-2562,-1729,-881,-29,785,1549,2253,
2912,3544,4189,4852,5540,6226,6877,7462,7969,8402,8779,9125,9417,9643,9733,9668,9422,9009,8467,7839,
7157,6419,5602,4687,3666,2546,1383,226,-882,-1922,-2909,-3869,-4826,-5777,-6692,-7533,-8244,-8811,-9236,-9541,
-9760,-9909,-9971,-9922,-9728,-9365,-8849,-8213,-7498,-6754,-5996,-5221,-4425,-3586,-2713,-1830,-956,-129,641,1355,
2028,2695,3377,4073,4779,5473,6121,6713,7250,7753,8230,8690,9111,9446,9653,9705,9585,9320,8954,8503,
7977,7366,6636,5773,4785,3708,2589,1482,407,-632,-1654,-2686,-3736,-4775,-5768,-6668,-7450,-8100,-8634,-9089,
-9477,-9791,-10012,-10098,-10019,-9770,-9366,-8855,-8263,-7631,-6955,-6224,-5435,-4586,-3695,-2789,-1902,-1071,-288,449,
1157,1865,2590,3314,4033,4720,5363,5964,6534,7091,7652,8204,8715,9137,9440,9601,9620,9523,9337,9068,
8699,8211,7573,6789,5874,4871,3835,2795,1764,734,-327,-1416,-2529,-3629,-4670,-5619,-6458,-7192,-7852,-8450,
-8991,-9457,-9812,-10017,-10059,-9935,-9673,-9308,-8865,-8355,-7772,-7101,-6341,-5502,-4616,-3715,-2841,-2007,-1214,-450,
303,1060,1816,2564,3284,3966,4606,5217,5814,6425,7038,7648,8214,8707,9082,9346,9503,9569,9554,9448,
9227,8861,8329,7640,6832,5939,5008,4050,3064,2043,961,-168,-1320,-2452,-3521,-4511,-5405,-6236,-7011,-7747,
-8425,-9020,-9492,-9817,-9985,-10006,-9906,-9714,-9428,-9050,-8567,-7973,-7262,-6464,-5613,-4751,-3895,-3064,-2255,-1456,
-655,146,935,1700,2426,3111,3756,4385,5014,5655,6312,6951,7548,8083,8528,8890,9174,9397,9544,9588,
9502,9262,8852,8296,7619,6866,6053,5190,4257,3255,2175,1037,-115,-1251,-2330,-3346,-4302,-5217,-6100,-6949,
-7739,-8434,-9005,-9434,-9731,-9900,-9967,-9944,-9815,-9573,-9198,-8685,-8055,-7328,-6544,-5737,-4918,-4100,-3274,-2435,
-1597,-759,65,847,1584,2281,2949,3605,4268,4939,5616,6269,6888,7454,7959,8416,8821,9170,9456,9630,
9672,9558,9290,8886,8371,7770,7086,6318,5451,4484,3430,2322,1193,83,-997,-2041,-3056,-4054,-5036,-5975,
-6847,-7625,-8291,-8830,-9262,-9590,-9828,-9969,-9994,-9882,-9624,-9227,-8703,-8083,-7401,-6665,-5897,-5093,-4261,-3406,
-2534,-1672,-832,-34,727,1447,2143,2837,3525,4217,4899,5559,6187,6778,7335,7858,8357,8809,9193,9474,
9627,9644,9524,9280,8931,8480,7928,7253,6462,5560,4567,3512,2439,1362,291,-778,-1849,-2912,-3966,-4974,
-5910,-6759,-7505,-8161,-8726,-9204,-9597,-9884,-10048,-10065,-9939,-9671,-9280,-8792,-8218,-7577,-6869,-6099,-5274,-4418,
-3542,-2667,-1815,-997,-214,541,1281,2007,2722,3426,4114,4782,5418,6037,6635,7220,7784,8309,8772,9151,
9417,9570,9603,9534,9350,9054,8635,8079,7389,6586,5686,4730,3727,2694,1643,565,-541,-1646,-2737,-3784,
-4770,-5680,-6512,-7272,-7958,-8574,-9097,-9515,-9806,-9954,-9969,-9850,-9615,-9274,-8830,-8292,-7661,-6948,-6164,-5330,
-4474,-3611,-2757,-1921,-1107,-310,466,1228,1967,2688,3384,4058,4713,5352,5982,6609,7216,7788,8307,8756,
9120,9396,9572,9650,9620,9468,9170,8736,8168,7481,6699,5840,4919,3938,2904,1822,710,-415,-1526,-2607,
-3633,-4609,-5527,-6391,-7201,-7932,-8575,-9107,-9520,-9804,-9973,-10016,-9947,-9761,-9456,-9029,-8494,-7857,-7144,-6369,
-5554,-4715,-3865,-3019,-2177,-1347,-535,252,1021,1755,2471,3159,3832,4497,5152,5798,6429,7032,7595,8107,
8559,8947,9252,9465,9571,9552,9395,9097,8676,8132,7490,6748,5920,5007,4019,2966,1872,768,-334,-1419,
-2475,-3504,-4496,-5449,-6344,-7167,-7896,-8530,-9053,-9470,-9784,-9987,-10074,-10034,-9861,-9555,-9131,-8597,-7975,-7283,
-6532,-5730,-4894,-4036,-3175,-2315,-1475,-661,130,894,1636,2361,3064,3751,4425,5087,5732,6357,6957,7525,
8058,8540,8955,9282,9504,9609,9590,9447,9181,8802,8307,7692,6966,6126,5200,4205,3169,2104,1028,-59,
-1142,-2222,-3284,-4302,-5273,-6163,-6972,-7698,-8333,-8890,-9347,-9703,-9938,-10037,-10002,-9828,-9537,-9138,-8641,-8050,
-7381,-6637,-5834,-4986,-4126,-3261,-2414,-1584,-771,19,791,1550,2281,2988,3674,4340,4994,5630,6258,6872,
7458,8005,8494,8908,9229,9455,9568,9582,9479,9260,8905,8418,7799,7064,6225,5321,4356,3354,2313,1236,
138,-978,-2084,-3149,-4162,-5106,-5984,-6801,-7549,-8229,-8825,-9310,-9673,-9902,-9993,-9969,-9821,-9567,-9210,-8741,
-8159,-7484,-6727,-5919,-5083,-4234,-3389,-2551,-1715,-887,-76,713,1477,2205,2903,3579,4245,4903,5561,6205,
6834,7429,7972,8450,8858,9190,9443,9601,9657,9585,9378,9020,8522,7906,7192,6401,5535,4604,3608,2552,
1444,316,-804,-1892,-2937,-3927,-4872,-5778,-6637,-7433,-8146,-8746,-9223,-9577,-9808,-9934,-9953,-9858,-9650,-9305,
-8835,-8249,-7570,-6823,-6043,-5235,-4412,-3570,-2717,-1863,-1018,-195,586,1331,2044,2733,3418,4095,4775,5451,
6096,6709,7281,7804,8285,8713,9085,9382,9569,9633,9556,9330,8974,8495,7928,7267,6518,5669,4726,3698,
2612,1501,395,-693,-1749,-2780,-3790,-4781,-5731,-6622,-7424,-8113,-8690,-9164,-9532,-9806,-9987,-10053,-9986,-9769,
-9407,-8922,-8340,-7685,-6983,-6233,-5440,-4605,-3741,-2856,-1984,-1139,-335,430,1162,1881,2602,3312,4017,4704,
5363,5991,6584,7153,7698,8220,8692,9107,9414,9598,9648,9561,9360,9055,8645,8134,7508,6757,5883,4915,
3880,2820,1751,695,-361,-1426,-2491,-3554,-4582,-5542,-6411,-7181,-7845,-8428,-8937,-9366,-9700,-9912,-9976,-9886,
-9649,-9289,-8831,-8301,-7700,-7027,-6282,-5470,-4600,-3715,-2833,-1984,-1169,-390,372,1125,1874,2615,3339,4032,
4689,5318,5927,6523,7123,7706,8258,8745,9134,9416,9578,9632,9585,9443,9199,8832,8320,7663,6876,5986,
5027,4040,3030,2003,945,-149,-1267,-2386,-3476,-4488,-5414,-6255,-7017,-7724,-8367,-8947,-9425,-9772,-9963,-10006,
-9908,-9699,-9393,-9001,-8525,-7941,-7260,-6484,-5645,-4778,-3915,-3070,-2256,-1457,-660,131,920,1688,2427,3128,
3785,4415,5044,5675,6312,6945,7547,8092,8548,8910,9187,9378,9495,9520,9432,9204,8824,8281,7607,6831,
5991,5101,4173,3193,2149,1044,-97,-1240,-2346,-3390,-4353,-5249,-6101,-6918,-7687,-8386,-8977,-9436,-9744,-9909,
-9952,-9902,-9758,-9517,-9160,-8673,-8062,-7343,-6549,-5724,-4893,-4071,-3251,-2428,-1595,-754,75,877,1628,2336,
3009,3660,4314,4975,5653,6321,6952,7529,8032,8471,8846,9172,9430,9611,9667,9572,9319,8904,8365,7728,
7025,6254,5413,4482,3464,2364,1222,79,-1024,-2075,-3073,-4039,-4978,-5900,-6782,-7585,-8277,-8829,-9254,-9556,
-9757,-9873,-9895,-9810,-9585,-9207,-8689,-8057,-7349,-6603,-5832,-5047,-4242,-3404,-2540,-1671,-813,2,766,1485,
2167,2841,3522,4213,4907,5587,6224,6815,7349,7844,8312,8747,9130,9432,9607,9635,9504,9228,8845,8371,
7812,7171,6421,5552,4571,3503,2389,1281,200,-848,-1878,-2900,-3926,-4938,-5909,-6793,-7564,-8202,-8731,-9169,
-9530,-9816,-10001,-10054,-9957,-9692,-9282,-8763,-8163,-7523,-6830,-6094,-5302,-4458,-3569,-2673,-1801,-973,-196,542,
1258,1973,2695,3419,4130,4815,5454,6059,6628,7181,7730,8264,8746,9151,9431,9573,9575,9457,9246,8945,
8549,8039,7387,6597,5683,4680,3641,2594,1558,522,-530,-1609,-2705,-3786,-4815,-5753,-6583,-7307,-7947,-8519,
-9031,-9468,-9800,-9980,-10007,-9865,-9588,-9206,-8744,-8218,-7629,-6949,-6188,-5348,-4467,-3570,-2698,-1863,-1076,-312,
442,1197,1958,2709,3427,4109,4749,5353,5952,6552,7161,7757,8307,8778,9136,9379,9512,9547,9504,9367,
9123,8738,8195,7495,6673,5761,4814,3844,2859,1839,767,-353,-1494,-2622,-3689,-4671,-5558,-6368,-7118,-7828,
-8481,-9059,-9517,-9825,-9975,-9970,-9842,-9617,-9316,-8927,-8440,-7839,-7130,-6328,-5472,-4604,-3756,-2924,-2126,-1336,
-537,266,1060,1835,2559,3247,3884,4512,5140,5781,6438,7077,7671,8189,8619,8957,9213,9400,9519,9542,
9436,9180,8752,8171,7469,6691,5856,4986,4057,3063,1992,860,-300,-1439,-2522,-3526,-4469,-5358,-6215,-7042,
-7820,-8506,-9074,-9486,-9757,-9896,-9933,-9877,-9735,-9488,-9109,-8595,-7951,-7216,-6414,-5594,-4779,-3971,-3156,-2326,
-1481,-638,195,986,1732,2429,3086,3742,4405,5083,5767,6431,7048,7601,8082,8504,8879,9205,9467,9626,
9652,9515,9210,8769,8216,7583,6880,6111,5252,4291,3236,2116,975,-152,-1231,-2258,-3248,-4217,-5175,-6107,
-6979,-7759,-8418,-8933,-9324,-9616,-9819,-9941,-9960,-9848,-9591,-9179,-8632,-7987,-7284,-6547,-5786,-4999,-4183,-3329,
-2452,-1578,-725,79,834,1552,2238,2925,3624,4328,5023,5693,6319,6895,7423,7922,8394,8832,9207,9481,
9619,9607,9440,9148,8759,8284,7723,7058,6277,5368,4361,3282,2186,1099,38,-1004,-2044,-3085,-4123,-5136,
-6084,-6931,-7665,-8280,-8800,-9242,-9606,-9887,-10052,-10070,-9933,-9637,-9214,-8694,-8102,-7461,-6769,-6017,-5207,-4343,
-3455,-2558,-1699,-879,-111,633,1363,2095,2827,3556,4263,4938,5569,6171,6745,7311,7865,8391,8857,9226,
9468,9574,9557,9432,9212,8903,8483,7932,7238,6412,5479,4478,3454,2420,1389,344,-731,-1829,-2924,-3992,
-4989,-5895,-6701,-7415,-8061,-8644,-9158,-9580,-9877,-10024,-10015,-9855,-9572,-9199,-8742,-8211,-7600,-6899,-6120,-5271,
-4384,-3500,-2640,-1818,-1022,-241,526,1297,2063,2810,3523,4202,4841,5457,6071,6685,7295,7884,8410,8850,
9182,9406,9528,9562,9511,9353,9067,8634,8047,7324,6493,5597,4660,3692,2688,1644,547,-581,-1715,-2815,
-3850,-4803,-5683,-6493,-7259,-7972,-8614,-9161,-9580,-9846,-9971,-9959,-9837,-9620,-9312,-8905,-8384,-7753,-7020,-6217,
-5373,-4519,-3673,-2848,-2034,-1221,-409,400,1192,1954,2675,3355,4008,4652,5298,5949,6597,7220,7787,8285,
8698,9032,9289,9478,9577,9565,9417,9106,8645,8051,7357,6585,5757,4867,3914,2882,1786,655,-481,-1588,
-2642,-3637,-4582,-5486,-6359,-7181,-7927,-8574,-9095,-9481,-9742,-9883,-9927,-9872,-9705,-9417,-9001,-8459,-7805,-7068,
-6289,-5480,-4665,-3838,-3007,-2164,-1313,-477,340,1113,1848,2547,3221,3893,4567,5243,5913,6555,7153,7692,
8177,8608,8988,9306,9535,9650,9626,9453,9136,8689,8150,7513,6794,5989,5090,4099,3033,1925,808,-285,
-1353,-2392,-3404,-4392,-5350,-6263,-7099,-7835,-8456,-8962,-9362,-9664,-9864,-9969,-9946,-9790,-9490,-9060,-8515,-7882,
-7185,-6449,-5674,-4862,-4022,-3162,-2294,-1435,-604,192,943,1671,2374,3078,3774,4466,5145,5798,6412,6992,
7533,8045,8514,8935,9273,9507,9604,9569,9403,9120,8733,8242,7649,6940,6115,5188,4186,3135,2062,990,
-77,-1142,-2208,-3262,-4287,-5263,-6167,-6981,-7694,-8314,-8845,-9291,-9641,-9885,-9996,-9970,-9800,-9497,-9079,-8566,
-7972,-7314,-6590,-5807,-4979,-4117,-3238,-2373,-1525,-710,70,831,1571,2304,3028,3737,4425,5086,5722,6329,
6922,7496,8039,8534,8963,9293,9511,9610,9604,9480,9254,8905,8436,7837,7115,6281,5362,4388,3377,2336,
1274,196,-901,-1994,-3068,-4101,-5057,-5943,-6751,-7485,-8145,-8721,-9209,-9583,-9831,-9939,-9911,-9759,-9486,-9112,
-8640,-8077,-7429,-6699,-5910,-5074,-4217,-3358,-2508,-1680,-874,-87,688,1443,2188,2906,3600,4270,4918,5552,
6171,6784,7377,7925,8414,8828,9152,9381,9515,9542,9461,9254,8919,8438,7834,7116,6308,5425,4483,3487,
2449,1364,258,-854,-1954,-3014,-4022,-4976,-5872,-6708,-7478,-8174,-8770,-9261,-9631,-9876,-9995,-9995,-9879,-9649,
-9302,-8842,-8283,-7627,-6898,-6109,-5286,-4442,-3593,-2743,-1915,-1088,-281,508,1273,2014,2727,3416,4086,4747,
5402,6040,6662,7253,7800,8289,8711,9060,9327,9498,9556,9492,9295,8963,8503,7926,7250,6480,5628,4695,
3696,2650,1561,464,-633,-1714,-2759,-3773,-4741,-5660,-6517,-7302,-7996,-8597,-9084,-9464,-9730,-9885,-9917,-9828,
-9610,-9271,-8815,-8262,-7616,-6904,-6129,-5319,-4483,-3631,-2780,-1935,-1106,-291,493,1258,1995,2707,3407,4083,
4752,5405,6048,6662,7252,7799,8299,8741,9108,9394,9571,9636,9576,9394,9083,8656,8107,7452,6693,5834,
4895,3894,2851,1776,688,-402,-1484,-2547,-3586,-4575,-5512,-6380,-7166,-7868,-8482,-8994,-9412,-9716,-9894,-9946,
-9871,-9671,-9347,-8917,-8386,-7768,-7074,-6315,-5507,-4673,-3827,-2972,-2127,-1302,-488,296,1064,1805,2523,3219,
3902,4568,5225,5858,6480,7075,7634,8149,8602,8979,9274,9462,9544,9509,9355,9082,8679,8149,7500,6743,
5899,4979,4001,2980,1924,837,-258,-1355,-2434,-3471,-4463,-5390,-6252,-7046,-7773,-8407,-8946,-9377,-9688,-9875,
-9933,-9870,-9689,-9394,-8986,-8473,-7863,-7166,-6407,-5599,-4769,-3922,-3077,-2227,-1393,-574,231,1008,1754,2475,
3173,3856,4527,5186,5834,6468,7074,7639,8153,8608,8994,9298,9512,9628,9624,9497,9230,8832,8309,7672,
6938,6121,5232,4269,3250,2180,1077,-31,-1133,-2199,-3228,-4217,-5154,-6044,-6872,-7625,-8283,-8834,-9268,-9590,
-9793,-9884,-9861,-9720,-9458,-9067,-8557,-7954,-7269,-6527,-5744,-4934,-4098,-3252,-2399,-1553,-727,77,841,1586,
2298,2996,3689,4370,5039,5691,6316,6911,7465,7980,8443,8847,9181,9422,9549,9552,9423,9157,8771,8275,
7673,6975,6178,5291,4321,3284,2209,1114,20,-1055,-2112,-3146,-4157,-5127,-6046,-6888,-7643,-8294,-8837,-9282,
-9631,-9874,-10008,-10013,-9884,-9624,-9227,-8725,-8134,-7479,-6766,-5997,-5184,-4337,-3468,-2601,-1746,-921,-130,633,
1383,2111,2832,3542,4236,4908,5551,6169,6760,7331,7866,8361,8800,9153,9401,9529,9539,9420,9191,8851,
8398,7837,7153,6356,5458,4484,3455,2407,1342,280,-794,-1864,-2929,-3965,-4954,-5867,-6697,-7431,-8088,-8655,
-9137,-9526,-9807,-9954,-9956,-9827,-9560,-9186,-8717,-8169,-7544,-6840,-6068,-5241,-4380,-3511,-2652,-1815,-1008,-222,
554,1316,2068,2801,3509,4188,4839,5468,6087,6690,7283,7843,8352,8788,9134,9366,9498,9523,9447,9261,
8958,8528,7961,7257,6452,5556,4606,3616,2597,1549,474,-631,-1741,-2829,-3871,-4846,-5743,-6565,-7318,-8009,
-8626,-9153,-9570,-9852,-9991,-9994,-9869,-9641,-9315,-8893,-8371,-7752,-7035,-6248,-5413,-4554,-3711,-2873,-2054,-1242,
-435,364,1150,1910,2634,3326,3987,4638,5279,5922,6560,7171,7740,8238,8662,8998,9253,9420,9495,9472,
9319,9025,8586,8006,7315,6531,5685,4784,3831,2817,1750,639,-486,-1601,-2672,-3676,-4623,-5521,-6368,-7165,
-7903,-8547,-9080,-9477,-9741,-9881,-9904,-9836,-9653,-9367,-8961,-8430,-7786,-7061,-6273,-5462,-4641,-3815,-2991,-2156,
-1309,-475,343,1121,1865,2568,3241,3913,4581,5253,5918,6565,7158,7705,8187,8605,8971,9269,9488,9606,
9588,9428,9115,8667,8111,7462,6736,5934,5048,4079,3031,1931,806,-303,-1383,-2420,-3416,-4386,-5326,-6229,
-7068,-7815,-8449,-8959,-9345,-9629,-9814,-9904,-9888,-9739,-9455,-9031,-8485,-7846,-7144,-6401,-5632,-4832,-4006,-3156,
-2286,-1426,-586,213,966,1687,2389,3081,3780,4477,5164,5819,6437,7008,7542,8033,8495,8907,9247,9484,
9594,9562,9387,9084,8681,8185,7598,6907,6105,5192,4193,3131,2040,957,-109,-1157,-2195,-3227,-4244,-5226,
-6148,-6972,-7691,-8300,-8808,-9231,-9566,-9809,-9943,-9928,-9768,-9460,-9030,-8500,-7901,-7247,-6541,-5776,-4959,-4096,
-3217,-2339,-1486,-670,103,850,1587,2318,3049,3770,4464,5136,5759,6358,6933,7491,8033,8533,8970,9311,
9528,9616,9581,9439,9196,8853,8403,7830,7123,6292,5356,4358,3328,2289,1246,194,-874,-1963,-3042,-4092,
-5076,-5967,-6765,-7473,-8102,-8667,-9149,-9543,-9810,-9939,-9905,-9732,-9436,-9048,-8578,-8031,-7410,-6703,-5920,-5075,
-4197,-3326,-2474,-1656,-864,-95,673,1441,2203,2942,3646,4316,4950,5566,6174,6781,7379,7948,8451,8869,
9180,9381,9481,9495,9411,9228,8919,8462,7862,7128,6290,5384,4439,3465,2456,1408,320,-801,-1924,-3014,
-4038,-4982,-5844,-6644,-7389,-8078,-8697,-9221,-9613,-9855,-9958,-9922,-9778,-9539,-9207,-8784,-8254,-7611,-6874,-6063,
-5219,-4363,-3523,-2704,-1892,-1083,-271,536,1327,2087,2805,3482,4130,4772,5418,6065,6710,7323,7877,8354,
8746,9056,9297,9453,9530,9493,9318,8990,8511,7896,7183,6399,5553,4659,3702,2672,1581,452,-687,-1789,
-2836,-3820,-4752,-5639,-6493,-7296,-8029,-8660,-9163,-9528,-9754,-9877,-9892,-9815,-9635,-9331,-8907,-8348,-7682,-6939,
-6151,-5343,-4534,-3719,-2894,-2055,-1206,-366,447,1215,1945,2640,3311,3976,4654,5331,6004,6636,7220,7744,
8205,8611,8969,9262,9471,9565,9519,9320,8973,8499,7928,7277,6556,5743,4839,3844,2778,1661,542,-554,
-1611,-2630,-3627,-4597,-5541,-6446,-7273,-7993,-8595,-9072,-9437,-9704,-9884,-9965,-9932,-9757,-9444,-8988,-8419,-7772,
-7067,-6323,-5558,-4756,-3920,-3054,-2180,-1318,-484,306,1053,1769,2473,3173,3882,4584,5266,5919,6525,7088,
7613,8109,8568,8972,9298,9510,9587,9521,9320,9006,8593,8085,7487,6778,5945,5010,3989,2922,1841,766,
-289,-1331,-2381,-3418,-4441,-5416,-6315,-7117,-7807,-8397,-8892,-9312,-9645,-9876,-9981,-9939,-9744,-9412,-8966,-8436,
-7838,-7181,-6467,-5698,-4867,-3998,-3113,-2241,-1397,-593,174,923,1661,2399,3133,3851,4544,5203,5823,6415,
6987,7547,8087,8576,8990,9302,9489,9552,9496,9341,9089,8733,8253,7652,6911,6051,5106,4108,3088,2058,
1013,-48,-1134,-2226,-3306,-4342,-5297,-6161,-6943,-7637,-8265,-8825,-9299,-9671,-9905,-9994,-9932,-9743,-9432,-9040,
-8563,-8005,-7363,-6629,-5827,-4977,-4098,-3232,-2385,-1568,-778,10,791,1564,2327,3061,3764,4429,5066,5685,
6310,6921,7522,8071,8561,8953,9243,9431,9528,9527,9436,9225,8883,8394,7760,7009,6172,5269,4328,3355,
2334,1269,166,-959,-2063,-3131,-4132,-5054,-5912,-6708,-7457,-8140,-8736,-9228,-9587,-9799,-9877,-9832,-9687,-9440,
-9097,-8647,-8090,-7424,-6672,-5861,-5022,-4180,-3341,-2515,-1694,-872,-57,750,1535,2283,2994,3674,4328,4981,
5631,6283,6918,7511,8045,8507,8889,9195,9423,9570,9623,9548,9334,8971,8465,7843,7125,6337,5489,4567,
3581,2529,1428,301,-816,-1898,-2931,-3915,-4852,-5746,-6599,-7391,-8094,-8694,-9165,-9510,-9736,-9851,-9860,-9769,
-9564,-9234,-8777,-8200,-7532,-6793,-6012,-5210,-4393,-3563,-2723,-1879,-1034,-200,603,1370,2095,2798,3480,4157,
4836,5510,6167,6790,7361,7880,8339,8747,9094,9367,9546,9605,9520,9291,8934,8455,7880,7214,6466,5626,
4695,3680,2612,1511,407,-677,-1729,-2756,-3759,-4735,-5671,-6547,-7338,-8033,-8613,-9080,-9444,-9711,-9874,-9932,
-9861,-9655,-9313,-8847,-8277,-7632,-6923,-6176,-5390,-4571,-3724,-2858,-1989,-1139,-314,470,1222,1952,2664,3375,
4080,4773,5443,6083,6686,7250,7777,8274,8718,9100,9390,9565,9610,9527,9315,8996,8572,8041,7403,6654,
5799,4850,3833,2781,1710,644,-426,-1482,-2540,-3580,-4587,-5535,-6401,-7178,-7861,-8449,-8953,-9361,-9676,-9874,
-9942,-9864,-9653,-9316,-8874,-8342,-7733,-7058,-6325,-5528,-4692,-3831,-2961,-2100,-1263,-463,317,1079,1823,2559,
3286,3990,4673,5319,5948,6552,7133,7690,8212,8674,9055,9339,9507,9564,9507,9342,9069,8677,8159,7516,
6757,5898,4962,3976,2960,1914,849,-236,-1329,-2411,-3463,-4466,-5396,-6254,-7034,-7740,-8369,-8911,-9350,-9681,
-9879,-9940,-9870,-9679,-9375,-8972,-8472,-7884,-7213,-6464,-5662,-4821,-3964,-3109,-2262,-1438,-633,161,939,1704,
2447,3166,3862,4530,5175,5808,6431,7038,7608,8132,8593,8968,9257,9444,9534,9518,9387,9132,8746,8233,
7589,6840,6012,5111,4156,3140,2099,1013,-89,-1190,-2271,-3308,-4300,-5231,-6103,-6906,-7647,-8305,-8861,-9314,
-9639,-9842,-9924,-9878,-9722,-9452,-9075,-8586,-8001,-7326,-6582,-5782,-4955,-4111,-3266,-2427,-1601,-777,29,815,
1582,2319,3030,3715,4386,5044,5690,6324,6937,7506,8027,8487,8870,9178,9393,9519,9527,9414,9163,8788,
8283,7670,6954,6153,5273,4325,3314,2255,1165,65,-1026,-2097,-3131,-4124,-5077,-5968,-6802,-7557,-8223,-8786,
-9239,-9579,-9807,-9915,-9904,-9775,-9529,-9159,-8679,-8099,-7437,-6706,-5925,-5110,-4275,-3433,-2586,-1745,-917,-107,
680,1442,2172,2882,3573,4253,4920,5572,6208,6815,7384,7907,8376,8784,9116,9356,9498,9518,9414,9181,
8825,8355,7772,7078,6293,5420,4470,3459,2402,1324,243,-849,-1918,-2966,-3980,-4945,-5857,-6698,-7455,-8129,
-8701,-9174,-9542,-9796,-9932,-9943,-9826,-9590,-9236,-8768,-8209,-7567,-6853,-6085,-5273,-4440,-3596,-2744,-1904,-1074,
-267,517,1276,2013,2726,3426,4110,4779,5434,6065,6670,7246,7782,8266,8689,9031,9284,9435,9472,9389,
9185,8858,8408,7842,7163,6383,5518,4583,3587,2546,1480,392,-701,-1781,-2842,-3857,-4827,-5741,-6584,-7355,
-8041,-8639,-9136,-9521,-9790,-9942,-9963,-9867,-9655,-9315,-8874,-8329,-7695,-6986,-6225,-5424,-4588,-3744,-2897,-2052,
-1218,-405,386,1155,1896,2614,3314,4003,4680,5336,5972,6592,7178,7718,8209,8642,9001,9271,9441,9506,
9450,9268,8954,8520,7968,7310,6551,5705,4788,3808,2770,1700,610,-479,-1564,-2618,-3635,-4607,-5532,-6391,
-7181,-7887,-8501,-9006,-9403,-9686,-9855,-9906,-9839,-9645,-9329,-8903,-8365,-7742,-7046,-6299,-5506,-4684,-3836,-2985,
-2131,-1298,-477,314,1078,1821,2545,3250,3950,4626,5287,5929,6542,7126,7672,8169,8615,8990,9282,9473,
9549,9504,9335,9034,8620,8090,7458,6723,5894,4979,3994,2955,1886,801,-280,-1358,-2413,-3442,-4435,-5377,
-6259,-7061,-7773,-8393,-8906,-9325,-9633,-9836,-9918,-9868,-9690,-9385,-8967,-8453,-7848,-7174,-6444,-5660,-4835,-3983,
-3125,-2270,-1434,-622,165,936,1686,2421,3139,3841,4520,5181,5819,6430,7020,7574,8098,8557,8952,9253,
9453,9534,9504,9350,9084,8701,8202,7590,6867,6034,5120,4141,3119,2070,1000,-75,-1151,-2226,-3272,-4279,
-5231,-6113,-6911,-7626,-8254,-8796,-9247,-9590,-9812,-9909,-9865,-9694,-9401,-9007,-8518,-7944,-7288,-6559,-5770,-4941,
-4081,-3225,-2380,-1549,-741,56,836,1601,2350,3073,3770,4448,5097,5737,6355,6956,7539,8071,8540,8938,
9238,9442,9537,9531,9417,9185,8826,8342,7727,6998,6175,5277,4322,3323,2290,1224,138,-965,-2055,-3113,
-4123,-5064,-5936,-6746,-7482,-8147,-8726,-9206,-9563,-9790,-9884,-9856,-9707,-9452,-9097,-8636,-8077,-7424,-6689,-5900,
-5070,-4230,-3388,-2554,-1727,-907,-95,701,1479,2223,2939,3624,4293,4949,5602,6239,6858,7446,7979,8444,
8831,9136,9361,9495,9527,9444,9226,8874,8384,7773,7061,6269,5401,4478,3496,2459,1371,262,-847,-1933,
-2976,-3965,-4903,-5793,-6631,-7404,-8098,-8691,-9170,-9521,-9751,-9862,-9866,-9764,-9547,-9214,-8760,-8193,-7533,-6801,
-6023,-5220,-4399,-3565,-2727,-1883,-1038,-210,594,1361,2096,2801,3493,4170,4852,5523,6174,6794,7364,7884,
8349,8753,9091,9356,9526,9578,9498,9277,8923,8446,7866,7197,6441,5601,4679,3678,2619,1525,418,-669,
-1730,-2760,-3757,-4718,-5646,-6518,-7313,-8004,-8593,-9065,-9428,-9687,-9845,-9894,-9828,-9622,-9291,-8831,-8268,-7625,
-6920,-6175,-5396,-4584,-3739,-2881,-2016,-1169,-349,440,1192,1923,2636,3348,4047,4737,5411,6051,6651,7210,
7735,8218,8655,9027,9314,9488,9535,9446,9234,8904,8465,7934,7297,6558,5712,4768,3758,2696,1619,548,
-521,-1572,-2617,-3651,-4651,-5601,-6479,-7259,-7942,-8526,-9015,-9420,-9727,-9929,-9997,-9935,-9727,-9389,-8937,-8405,
-7800,-7132,-6405,-5624,-4791,-3926,-3055,-2189,-1354,-546,228,992,1740,2483,3214,3930,4614,5271,5892,6489,
7064,7618,8137,8603,8988,9270,9434,9480,9411,9238,8957,8573,8068,7440,6684,5826,4881,3886,2865,1831,
777,-285,-1363,-2446,-3502,-4514,-5453,-6301,-7071,-7757,-8368,-8906,-9352,-9689,-9898,-9961,-9886,-9679,-9361,-8955,
-8464,-7893,-7233,-6497,-5688,-4839,-3970,-3111,-2268,-1450,-648,142,930,1704,2464,3196,3895,4559,5199,5825,
6446,7055,7635,8173,8633,9001,9271,9437,9514,9493,9371,9130,8759,8246,7594,6836,5989,5081,4133,3150,
2121,1054,-46,-1162,-2258,-3308,-4298,-5213,-6061,-6851,-7583,-8245,-8821,-9283,-9617,-9815,-9871,-9816,-9650,-9387,
-9027,-8559,-7989,-7316,-6564,-5755,-4917,-4080,-3245,-2418,-1597,-778,42,848,1628,2375,3083,3764,4422,5077,
5731,6374,7001,7579,8095,8538,8901,9185,9396,9521,9545,9440,9202,8815,8292,7652,6927,6128,5268,4341,
3351,2300,1203,81,-1031,-2103,-3124,-4093,-5019,-5896,-6732,-7505,-8191,-8764,-9213,-9529,-9736,-9828,-9816,-9704,
-9478,-9127,-8654,-8061,-7384,-6636,-5851,-5050,-4234,-3406,-2567,-1715,-869,-36,763,1527,2251,2951,3641,4319,
5002,5678,6329,6942,7502,8001,8446,8835,9166,9421,9575,9609,9501,9250,8865,8366,7780,7102,6345,5498,
4559,3542,2469,1366,266,-811,-1856,-2871,-3862,-4824,-5746,-6615,-7395,-8067,-8626,-9067,-9409,-9650,-9792,-9832,
-9743,-9521,-9161,-8675,-8091,-7437,-6728,-5983,-5205,-4388,-3545,-2679,-1810,-963,-153,630,1374,2094,2806,3518,
4225,4918,5584,6214,6800,7346,7860,8340,8776,9136,9407,9554,9574,9459,9219,8874,8431,7885,7241,6478,
5614,4649,3621,2558,1493,428,-632,-1682,-2730,-3761,-4766,-5706,-6564,-7319,-7978,-8541,-9020,-9414,-9708,-9889,
-9937,-9839,-9603,-9247,-8778,-8237,-7625,-6954,-6219,-5424,-4580,-3716,-2840,-1989,-1158,-367,403,1159,1908,2647,
3376,4085,4761,5405,6017,6611,7181,7730,8247,8698,9066,9321,9456,9484,9401,9212,8926,8526,7995,7344,
6565,5688,4739,3746,2727,1693,639,-432,-1521,-2603,-3655,-4648,-5571,-6401,-7153,-7828,-8434,-8958,-9391,-9702,
-9882,-9914,-9810,-9584,-9258,-8841,-8338,-7746,-7075,-6319,-5506,-4654,-3792,-2940,-2107,-1295,-499,291,1073,1846,
2596,3315,4006,4662,5296,5924,6541,7143,7715,8231,8675,9025,9277,9436,9499,9468,9325,9060,8662,8126,
7455,6685,5832,4923,3970,2977,1937,859,-247,-1362,-2449,-3481,-4455,-5359,-6202,-6985,-7709,-8360,-8914,-9349,
-9653,-9823,-9867,-9791,-9613,-9337,-8953,-8466,-7875,-7184,-6425,-5613,-4785,-3950,-3121,-2298,-1477,-655,157,953,
1723,2459,3158,3833,4495,5148,5797,6439,7051,7619,8116,8547,8903,9180,9378,9486,9487,9361,9090,8681,
8141,7497,6760,5955,5084,4145,3135,2070,970,-146,-1244,-2305,-3315,-4282,-5204,-6083,-6910,-7665,-8320,-8870,
-9293,-9595,-9779,-9860,-9836,-9701,-9446,-9072,-8577,-7971,-7283,-6540,-5757,-4953,-4131,-3302,-2456,-1607,-768,54,
846,1601,2325,3024,3712,4395,5076,5744,6386,6985,7534,8030,8472,8857,9178,9413,9543,9546,9407,9137,
8738,8234,7637,6947,6168,5298,4339,3314,2241,1146,57,-1012,-2062,-3076,-4069,-5029,-5944,-6784,-7536,-8186,
-8729,-9157,-9490,-9722,-9848,-9858,-9740,-9485,-9105,-8611,-8024,-7365,-6652,-5900,-5105,-4281,-3431,-2571,-1710,-872,
-62,711,1456,2185,2903,3611,4315,4996,5655,6276,6861,7412,7922,8392,8809,9150,9393,9512,9505,9374,
9129,8767,8307,7742,7060,6279,5390,4423,3402,2345,1282,215,-851,-1915,-2964,-3988,-4968,-5886,-6720,-7462,
-8111,-8671,-9144,-9516,-9786,-9937,-9957,-9832,-9580,-9213,-8748,-8193,-7569,-6876,-6127,-5318,-4480,-3618,-2754,-1908,
-1081,-280,490,1253,2002,2740,3459,4157,4832,5478,6093,6689,7261,7804,8296,8727,9066,9305,9425,9444,
9350,9146,8826,8389,7830,7155,6357,5478,4534,3544,2521,1471,402,-678,-1761,-2829,-3857,-4829,-5731,-6558,
-7306,-7985,-8578,-9082,-9484,-9763,-9909,-9928,-9813,-9585,-9249,-8818,-8292,-7678,-6985,-6227,-5413,-4570,-3714,-2863,
-2026,-1206,-397,396,1173,1938,2683,3399,4089,4755,5401,6030,6645,7235,7791,8289,8714,9054,9297,9446,
9489,9431,9255,8955,8521,7963,7287,6516,5658,4742,3771,2757,1701,616,-482,-1577,-2639,-3662,-4628,-5532,
-6374,-7156,-7864,-8482,-9005,-9412,-9697,-9854,-9891,-9809,-9616,-9311,-8906,-8391,-7783,-7086,-6330,-5527,-4698,-3856,
-3013,-2176,-1347,-529,282,1067,1832,2566,3274,3961,4625,5287,5935,6560,7158,7708,8201,8624,8978,9244,
9424,9501,9464,9299,9004,8582,8035,7385,6641,5815,4915,3948,2926,1860,773,-324,-1405,-2459,-3476,-4447,
-5372,-6238,-7042,-7765,-8391,-8916,-9328,-9627,-9808,-9878,-9826,-9662,-9372,-8968,-8461,-7852,-7171,-6428,-5642,-4824,
-3988,-3139,-2294,-1453,-622,189,973,1729,2465,3178,3868,4553,5223,5876,6505,7095,7641,8144,8583,8958,
9253,9451,9543,9515,9362,9083,8679,8163,7541,6819,6009,5112,4145,3122,2060,976,-104,-1182,-2238,-3272,
-4261,-5205,-6087,-6902,-7628,-8267,-8801,-9233,-9561,-9769,-9865,-9841,-9687,-9415,-9025,-8533,-7946,-7284,-6557,-5783,
-4975,-4138,-3293,-2442,-1600,-769,37,818,1577,2312,3028,3731,4418,5086,5736,6361,6950,7508,8018,8473,
8861,9165,9376,9482,9464,9329,9073,8698,8202,7602,6893,6089,5196,4240,3230,2180,1107,22,-1059,-2120,
-3162,-4165,-5112,-6002,-6819,-7561,-8212,-8766,-9220,-9568,-9795,-9906,-9894,-9761,-9502,-9131,-8656,-8086,-7433,-6717,
-5950,-5142,-4305,-3453,-2601,-1754,-924,-114,672,1438,2181,2908,3618,4307,4982,5637,6267,6865,7432,7952,
8423,8824,9147,9375,9498,9505,9396,9163,8811,8339,7753,7061,6276,5402,4459,3462,2421,1351,268,-811,
-1884,-2923,-3929,-4887,-5784,-6609,-7367,-8031,-8603,-9072,-9436,-9682,-9815,-9822,-9708,-9472,-9116,-8659,-8103,-7467,
-6763,-6000,-5201,-4369,-3516,-2661,-1816,-986,-181,609,1379,2126,2855,3566,4258,4934,5587,6213,6817,7387,
7918,8391,8806,9140,9382,9516,9543,9447,9234,8898,8441,7874,7201,6426,5564,4626,3632,2590,1524,443,
-641,-1710,-2759,-3779,-4746,-5660,-6506,-7275,-7954,-8543,-9029,-9415,-9687,-9842,-9875,-9777,-9564,-9227,-8783,-8250,
-7632,-6943,-6192,-5396,-4565,-3716,-2860,-2018,-1191,-380,408,1182,1932,2669,3385,4081,4752,5407,6038,6645,
7221,7763,8254,8680,9027,9284,9437,9477,9401,9209,8902,8476,7931,7274,6511,5659,4732,3748,2720,1666,
597,-487,-1563,-2621,-3647,-4627,-5546,-6395,-7162,-7851,-8458,-8967,-9371,-9669,-9835,-9876,-9793,-9588,-9269,-8851,
-8336,-7733,-7052,-6302,-5499,-4671,-3822,-2969,-2129,-1301,-487,313,1097,1863,2602,3318,4011,4681,5335,5972,
6592,7184,7738,8238,8674,9027,9287,9452,9516,9473,9307,9025,8618,8084,7433,6678,5835,4930,3962,2953,
1902,823,-267,-1356,-2426,-3456,-4434,-5354,-6206,-6994,-7708,-8340,-8877,-9306,-9609,-9791,-9844,-9782,-9608,-9325,
-8934,-8437,-7846,-7168,-6418,-5625,-4805,-3970,-3133,-2296,-1468,-647,162,954,1716,2451,3162,3846,4521,5177,
5828,6455,7054,7607,8107,8540,8898,9178,9369,9461,9440,9299,9027,8625,8099,7460,6727,5917,5031,4083,
3072,2019,933,-167,-1259,-2319,-3341,-4316,-5246,-6119,-6931,-7670,-8319,-8864,-9293,-9602,-9796,-9877,-9847,-9704,
-9444,-9064,-8570,-7977,-7302,-6567,-5784,-4984,-4157,-3321,-2472,-1626,-788,27,818,1576,2308,3013,3713,4399,
5078,5734,6370,6968,7519,8018,8461,8847,9153,9375,9494,9494,9356,9091,8702,8201,7598,6898,6114,5242,
4294,3274,2219,1129,45,-1033,-2082,-3101,-4090,-5043,-5940,-6775,-7524,-8171,-8715,-9152,-9482,-9711,-9827,-9829,
-9705,-9452,-9076,-8588,-8005,-7352,-6644,-5891,-5096,-4268,-3417,-2559,-1702,-867,-60,721,1472,2208,2926,3638,
4341,5021,5673,6296,6881,7432,7945,8410,8819,9154,9384,9505,9501,9371,9124,8762,8298,7729,7050,6270,
5390,4430,3412,2358,1293,224,-843,-1896,-2939,-3957,-4935,-5849,-6682,-7424,-8073,-8631,-9092,-9463,-9729,-9876,
-9895,-9772,-9526,-9160,-8687,-8139,-7513,-6829,-6078,-5279,-4437,-3578,-2714,-1866,-1044,-248,534,1296,2051,2791,
3517,4220,4892,5534,6151,6744,7316,7851,8344,8771,9111,9342,9461,9470,9371,9160,8842,8412,7858,7181,
6391,5510,4565,3574,2552,1507,447,-628,-1706,-2775,-3806,-4779,-5682,-6503,-7246,-7913,-8501,-9008,-9406,-9687,
-9838,-9848,-9733,-9500,-9163,-8731,-8215,-7610,-6922,-6161,-5347,-4502,-3648,-2805,-1972,-1152,-350,446,1233,2002,
2752,3465,4154,4815,5459,6086,6703,7294,7851,8346,8765,9094,9327,9463,9507,9447,9277,8979,8549,7987,
7310,6524,5669,4753,3793,2786,1737,657,-439,-1543,-2613,-3635,-4593,-5490,-6325,-7098,-7803,-8432,-8958,-9368,
-9648,-9797,-9828,-9738,-9548,-9253,-8854,-8347,-7741,-7045,-6283,-5477,-4653,-3816,-2988,-2157,-1331,-506,310,1107,
1872,2611,3311,3993,4659,5319,5970,6605,7202,7754,8234,8649,8985,9247,9422,9502,9468,9311,9011,8582,
8027,7361,6618,5800,4914,3965,2949,1882,786,-321,-1407,-2460,-3463,-4420,-5332,-6197,-7009,-7741,-8377,-8903,
-9303,-9584,-9755,-9818,-9772,-9620,-9345,-8951,-8439,-7826,-7131,-6387,-5603,-4797,-3976,-3140,-2294,-1442,-598,218,
1007,1763,2487,3193,3887,4576,5260,5920,6551,7142,7680,8161,8585,8957,9252,9462,9561,9533,9367,9070,
8652,8126,7510,6802,6006,5126,4159,3123,2049,956,-126,-1191,-2229,-3244,-4225,-5175,-6072,-6899,-7633,-8258,
-8777,-9190,-9503,-9715,-9826,-9817,-9679,-9404,-9004,-8496,-7898,-7236,-6525,-5773,-4977,-4146,-3291,-2427,-1567,-734,
71,841,1586,2318,3043,3758,4466,5146,5798,6404,6982,7521,8026,8479,8880,9195,9415,9502,9468,9310,
9037,8659,8182,7599,6907,6105,5202,4224,3197,2143,1076,21,-1041,-2095,-3136,-4153,-5122,-6023,-6839,-7558,
-8188,-8728,-9178,-9535,-9787,-9915,-9908,-9763,-9487,-9101,-8618,-8060,-7433,-6734,-5981,-5169,-4323,-3454,-2592,-1749,
-927,-136,641,1406,2162,2906,3631,4331,4994,5634,6242,6833,7397,7930,8413,8822,9136,9347,9441,9425,
9308,9081,8746,8293,7716,7017,6206,5313,4359,3364,2341,1300,237,-841,-1925,-2992,-4011,-4972,-5854,-6663,
-7390,-8047,-8621,-9111,-9494,-9753,-9877,-9868,-9729,-9479,-9125,-8686,-8156,-7536,-6836,-6066,-5245,-4398,-3542,-2701,
-1874,-1059,-256,539,1322,2093,2839,3549,4234,4887,5527,6151,6766,7352,7899,8382,8778,9091,9306,9426,
9449,9375,9182,8867,8406,7820,7122,6330,5466,4544,3579,2567,1510,426,-679,-1775,-2834,-3842,-4788,-5670,
-6494,-7262,-7957,-8566,-9072,-9457,-9711,-9840,-9847,-9743,-9537,-9226,-8805,-8283,-7664,-6952,-6183,-5372,-4546,-3718,
-2886,-2056,-1229,-404,411,1199,1965,2693,3393,4071,4734,5396,6045,6673,7263,7799,8268,8667,8989,9236,
9398,9461,9405,9220,8896,8441,7863,7193,6445,5615,4718,3757,2726,1653,551,-547,-1621,-2662,-3660,-4609,
-5518,-6378,-7172,-7887,-8499,-8999,-9382,-9644,-9797,-9843,-9784,-9603,-9307,-8890,-8361,-7736,-7036,-6285,-5499,-4696,
-3872,-3030,-2182,-1337,-498,317,1096,1844,2568,3274,3964,4651,5331,5983,6607,7184,7709,8186,8607,8961,
9245,9431,9507,9451,9263,8948,8515,7978,7349,6627,5814,4914,3932,2895,1821,735,-344,-1399,-2438,-3448,
-4433,-5374,-6253,-7061,-7770,-8380,-8883,-9281,-9579,-9778,-9860,-9822,-9655,-9358,-8941,-8419,-7820,-7150,-6424,-5659,
-4855,-4021,-3170,-2309,-1458,-631,169,943,1689,2425,3148,3857,4553,5226,5873,6484,7056,7594,8090,8539,
8920,9217,9407,9481,9431,9258,8976,8575,8079,7469,6757,5941,5028,4051,3026,1975,914,-153,-1211,-2267,
-3304,-4313,-5262,-6142,-6942,-7648,-8267,-8790,-9229,-9563,-9788,-9885,-9852,-9689,-9397,-8997,-8505,-7935,-7289,-6577,
-5809,-4995,-4148,-3284,-2429,-1591,-769,26,804,1567,2318,3058,3776,4468,5129,5769,6379,6967,7525,8047,
8515,8903,9197,9390,9472,9444,9306,9060,8704,8222,7617,6899,6084,5184,4226,3229,2196,1147,70,-1007,
-2083,-3134,-4138,-5087,-5956,-6758,-7482,-8126,-8687,-9151,-9508,-9740,-9842,-9814,-9663,-9405,-9039,-8576,-8026,-7392,
-6680,-5906,-5090,-4246,-3391,-2549,-1716,-900,-95,702,1483,2240,2982,3689,4373,5032,5673,6298,6904,7479,
8008,8473,8857,9155,9358,9466,9473,9365,9146,8795,8316,7719,7005,6208,5338,4403,3421,2393,1329,242,
-853,-1934,-2977,-3975,-4920,-5799,-6620,-7375,-8048,-8632,-9108,-9473,-9710,-9824,-9820,-9700,-9476,-9137,-8696,-8152,
-7518,-6807,-6037,-5230,-4402,-3567,-2726,-1892,-1063,-245,560,1346,2102,2829,3535,4219,4886,5545,6183,6797,
7376,7898,8360,8757,9071,9300,9438,9471,9387,9167,8827,8361,7779,7095,6327,5479,4560,3577,2539,1473,
383,-707,-1772,-2813,-3812,-4766,-5672,-6514,-7284,-7974,-8566,-9045,-9411,-9670,-9812,-9840,-9749,-9545,-9223,-8788,
-8247,-7620,-6920,-6169,-5375,-4561,-3724,-2884,-2035,-1198,-371,433,1215,1965,2695,3406,4101,4781,5445,6088,
6703,7276,7799,8273,8682,9020,9277,9429,9473,9399,9193,8868,8424,7871,7213,6465,5625,4708,3723,2691,
1626,545,-531,-1602,-2648,-3655,-4630,-5549,-6407,-7189,-7880,-8481,-8976,-9367,-9651,-9819,-9872,-9801,-9611,-9299,
-8877,-8352,-7742,-7065,-6325,-5545,-4728,-3895,-3043,-2190,-1348,-525,278,1054,1813,2547,3265,3967,4655,5318,
5966,6577,7149,7682,8166,8596,8957,9223,9391,9446,9384,9201,8901,8483,7958,7320,6581,5751,4842,3867,
2842,1790,721,-355,-1423,-2477,-3495,-4479,-5407,-6272,-7056,-7761,-8373,-8885,-9301,-9607,-9800,-9869,-9812,-9633,
-9338,-8928,-8422,-7827,-7165,-6437,-5659,-4838,-4002,-3150,-2295,-1455,-630,171,954,1718,2462,3191,3897,4588,
5256,5897,6511,7097,7646,8143,8586,8956,9236,9417,9492,9455,9292,9017,8624,8114,7492,6763,5943,5048,
4087,3075,2032,967,-115,-1188,-2249,-3282,-4265,-5203,-6075,-6870,-7590,-8217,-8756,-9190,-9511,-9722,-9810,-9771,
-9615,-9339,-8955,-8468,-7892,-7238,-6523,-5747,-4936,-4096,-3250,-2404,-1562,-738,65,852,1622,2372,3099,3807,
4497,5162,5801,6426,7016,7571,8079,8529,8908,9200,9396,9486,9464,9329,9070,8695,8199,7595,6880,6075,
5193,4242,3236,2193,1127,51,-1026,-2090,-3125,-4125,-5066,-5950,-6762,-7493,-8139,-8690,-9139,-9485,-9712,-9820,
-9802,-9665,-9410,-9041,-8568,-8011,-7369,-6660,-5896,-5086,-4248,-3403,-2555,-1714,-887,-77,715,1489,2246,2979,
3690,4383,5049,5699,6324,6922,7489,8010,8472,8863,9167,9382,9486,9488,9373,9138,8786,8317,7726,7031,
6242,5368,4428,3440,2406,1349,272,-804,-1871,-2916,-3918,-4867,-5757,-6575,-7316,-7979,-8548,-9020,-9384,-9626,
-9750,-9752,-9628,-9390,-9043,-8596,-8050,-7420,-6718,-5954,-5148,-4316,-3475,-2631,-1792,-968,-150,648,1428,2187,
2923,3633,4320,4994,5643,6273,6888,7458,7984,8453,8849,9167,9389,9515,9541,9447,9237,8900,8440,7864,
7181,6403,5547,4620,3643,2615,1556,473,-606,-1689,-2736,-3742,-4701,-5592,-6432,-7192,-7875,-8468,-8958,-9338,
-9597,-9736,-9758,-9662,-9453,-9129,-8703,-8173,-7553,-6855,-6105,-5310,-4490,-3656,-2821,-1977,-1148,-324,480,1263,
2018,2749,3457,4146,4823,5481,6121,6734,7311,7840,8307,8713,9040,9286,9437,9481,9408,9212,8889,8442,
7882,7216,6463,5623,4714,3743,2716,1649,564,-522,-1592,-2640,-3647,-4610,-5520,-6377,-7160,-7862,-8465,-8964,
-9353,-9626,-9786,-9834,-9764,-9582,-9275,-8861,-8341,-7726,-7040,-6301,-5520,-4707,-3879,-3032,-2187,-1341,-512,293,
1072,1831,2560,3272,3973,4659,5333,5980,6590,7168,7697,8177,8595,8948,9220,9391,9451,9394,9208,8900,
8475,7940,7302,6574,5750,4852,3877,2852,1785,706,-368,-1430,-2475,-3487,-4466,-5398,-6268,-7067,-7772,-8378,
-8888,-9292,-9589,-9777,-9854,-9811,-9640,-9343,-8933,-8418,-7823,-7158,-6437,-5670,-4862,-4026,-3172,-2320,-1469,-644,
157,931,1689,2427,3158,3868,4563,5236,5874,6485,7057,7596,8095,8537,8905,9193,9376,9442,9392,9224,
8941,8544,8039,7431,6709,5892,4987,4012,2996,1947,881,-183,-1245,-2301,-3339,-4334,-5277,-6155,-6950,-7659,
-8277,-8806,-9239,-9569,-9787,-9881,-9847,-9681,-9396,-9002,-8514,-7949,-7306,-6592,-5829,-5013,-4168,-3311,-2460,-1622,
-806,-2,777,1549,2305,3044,3763,4446,5113,5749,6361,6948,7507,8022,8480,8861,9150,9334,9414,9385,
9247,8997,8635,8147,7545,6827,6014,5118,4161,3164,2139,1082,12,-1064,-2137,-3189,-4188,-5132,-6002,-6802,
-7523,-8169,-8721,-9185,-9539,-9766,-9868,-9839,-9687,-9425,-9061,-8607,-8060,-7423,-6709,-5937,-5118,-4279,-3429,-2592,
-1761,-942,-133,664,1448,2213,2954,3662,4342,5002,5646,6279,6883,7457,7979,8438,8820,9111,9312,9418,
9416,9314,9093,8742,8263,7661,6955,6156,5288,4357,3380,2359,1301,214,-878,-1956,-2999,-3994,-4928,-5803,
-6620,-7368,-8040,-8623,-9102,-9460,-9694,-9801,-9793,-9674,-9445,-9112,-8673,-8133,-7496,-6780,-6010,-5205,-4382,-3551,
-2714,-1881,-1051,-224,590,1375,2132,2860,3562,4247,4915,5576,6224,6838,7414,7932,8385,8773,9074,9303,
9444,9481,9388,9175,8826,8351,7764,7081,6315,5474,4564,3587,2551,1479,385,-709,-1773,-2804,-3800,-4740,
-5638,-6486,-7264,-7957,-8546,-9022,-9384,-9630,-9766,-9797,-9714,-9517,-9199,-8761,-8219,-7592,-6885,-6137,-5355,-4552,
-3722,-2878,-2026,-1181,-347,456,1236,1984,2706,3419,4117,4803,5478,6126,6734,7296,7810,8274,8679,9016,
9278,9438,9481,9395,9181,8843,8393,7840,7194,6457,5625,4712,3718,2681,1609,526,-548,-1596,-2630,-3634,
-4606,-5533,-6398,-7183,-7872,-8455,-8942,-9319,-9603,-9779,-9842,-9778,-9589,-9269,-8834,-8304,-7691,-7021,-6297,-5523,
-4716,-3872,-3015,-2155,-1306,-484,315,1087,1835,2578,3308,4025,4721,5391,6028,6629,7192,7723,8209,8644,
9006,9277,9443,9487,9407,9210,8906,8495,7976,7350,6616,5784,4861,3875,2849,1800,742,-319,-1379,-2431,
-3460,-4456,-5391,-6256,-7031,-7722,-8321,-8826,-9246,-9563,-9765,-9838,-9780,-9589,-9285,-8874,-8373,-7796,-7143,-6427,
-5652,-4832,-3980,-3123,-2269,-1435,-624,173,952,1724,2481,3220,3937,4624,5282,5916,6521,7103,7652,8157,
8606,8973,9238,9402,9457,9404,9240,8976,8591,8087,7459,6721,5889,4976,4013,3008,1981,931,-146,-1225,
-2298,-3341,-4336,-5266,-6122,-6902,-7611,-8240,-8785,-9233,-9569,-9778,-9854,-9802,-9630,-9353,-8977,-8510,-7949,-7304,
-6587,-5799,-4979,-4137,-3287,-2450,-1623,-803,6,805,1590,2355,3096,3801,4479,5134,5776,6403,7005,7573,
8086,8531,8894,9165,9343,9425,9413,9287,9039,8667,8163,7541,6809,6000,5122,4188,3204,2178,1108,21,
-1077,-2150,-3181,-4163,-5089,-5950,-6755,-7495,-8154,-8725,-9180,-9516,-9722,-9811,-9785,-9650,-9409,-9060,-8610,-8050,
-7400,-6675,-5898,-5087,-4263,-3432,-2596,-1757,-926,-97,715,1501,2260,2979,3683,4371,5039,5698,6341,6950,
7518,8023,8460,8831,9124,9335,9456,9465,9353,9111,8737,8238,7635,6938,6158,5307,4383,3395,2350,1272,
177,-907,-1966,-2989,-3969,-4912,-5803,-6638,-7401,-8079,-8643,-9101,-9440,-9673,-9795,-9809,-9708,-9491,-9154,-8696,
-8138,-7498,-6791,-6039,-5252,-4439,-3607,-2759,-1909,-1060,-229,575,1348,2100,2824,3535,4233,4922,5592,6232,
6832,7393,7900,8349,8743,9067,9305,9440,9454,9351,9111,8756,8286,7719,7055,6298,5451,4525,3528,2479,
1411,334,-732,-1785,-2814,-3810,-4774,-5693,-6539,-7305,-7978,-8545,-9015,-9378,-9643,-9800,-9838,-9754,-9541,-9204,
-8756,-8212,-7593,-6912,-6177,-5396,-4582,-3739,-2877,-2020,-1175,-355,441,1215,1968,2708,3432,4148,4839,5507,
6139,6735,7291,7816,8291,8712,9055,9304,9441,9469,9366,9157,8832,8399,7861,7214,6459,5611,4679,3690,
2660,1607,552,-509,-1573,-2616,-3641,-4625,-5548,-6394,-7155,-7829,-8416,-8915,-9311,-9607,-9784,-9840,-9757,-9549,
-9228,-8803,-8289,-7699,-7036,-6311,-5527,-4701,-3853,-2997,-2147,-1314,-501,293,1075,1841,2594,3327,4039,4723,
5382,6006,6609,7189,7732,8222,8653,9000,9251,9396,9433,9366,9189,8897,8487,7965,7317,6565,5722,4808,
3844,2836,1799,742,-330,-1405,-2469,-3501,-4477,-5395,-6240,-7010,-7705,-8320,-8845,-9269,-9574,-9758,-9815,-9742,
-9556,-9257,-8863,-8377,-7800,-7139,-6408,-5619,-4793,-3951,-3108,-2270,-1441,-617,188,983,1763,2520,3248,3953,
4629,5288,5925,6546,7138,7694,8190,8621,8969,9234,9399,9468,9433,9283,9012,8615,8095,7459,6726,5902,
5019,4073,3079,2038,968,-119,-1201,-2264,-3289,-4262,-5175,-6037,-6832,-7555,-8193,-8734,-9164,-9479,-9671,-9741,
-9703,-9544,-9280,-8913,-8435,-7859,-7202,-6471,-5701,-4889,-4061,-3225,-2390,-1555,-725,93,890,1667,2417,3139,
3836,4521,5186,5838,6464,7062,7617,8113,8542,8901,9182,9377,9469,9455,9322,9059,8669,8162,7548,6841,
6044,5175,4234,3236,2189,1119,32,-1049,-2103,-3125,-4107,-5040,-5921,-6740,-7477,-8130,-8676,-9117,-9447,-9657,
-9765,-9750,-9618,-9374,-9015,-8546,-7980,-7328,-6617,-5859,-5062,-4242,-3408,-2563,-1721,-884,-62,732,1505,2249,
2977,3679,4375,5051,5709,6341,6936,7488,7990,8434,8814,9120,9336,9448,9441,9319,9073,8705,8223,7637,
6953,6177,5312,4378,3378,2340,1270,199,-871,-1923,-2952,-3948,-4899,-5795,-6626,-7373,-8028,-8585,-9041,-9388,
-9630,-9759,-9770,-9657,-9421,-9074,-8617,-8063,-7434,-6737,-5992,-5207,-4388,-3545,-2696,-1848,-1010,-197,600,1369,
2118,2853,3569,4270,4951,5611,6240,6832,7386,7903,8360,8761,9086,9313,9435,9441,9336,9107,8763,8304,
7745,7074,6305,5444,4512,3521,2494,1433,369,-705,-1763,-2806,-3816,-4781,-5682,-6520,-7273,-7939,-8517,-8996,
-9375,-9638,-9788,-9816,-9717,-9497,-9164,-8727,-8201,-7589,-6907,-6170,-5387,-4564,-3723,-2872,-2027,-1194,-381,415,
1190,1953,2696,3419,4123,4802,5462,6092,6692,7263,7786,8264,8676,9012,9250,9387,9413,9325,9125,8811,
8378,7826,7175,6416,5573,4652,3679,2664,1610,544,-528,-1592,-2642,-3658,-4627,-5536,-6374,-7148,-7829,-8425,
-8924,-9327,-9603,-9775,-9815,-9738,-9541,-9231,-8816,-8306,-7709,-7036,-6304,-5520,-4703,-3863,-3014,-2173,-1338,-515,
284,1069,1837,2587,3313,4017,4702,5361,5997,6610,7186,7727,8213,8632,8975,9231,9384,9437,9371,9194,
8898,8483,7949,7310,6568,5736,4832,3869,2858,1816,742,-330,-1403,-2456,-3476,-4451,-5370,-6223,-7010,-7710,
-8329,-8844,-9264,-9568,-9754,-9816,-9764,-9591,-9301,-8911,-8418,-7838,-7177,-6451,-5675,-4861,-4026,-3181,-2337,-1503,
-679,131,923,1697,2451,3179,3888,4570,5234,5877,6498,7083,7632,8123,8553,8911,9175,9354,9423,9383,
9227,8950,8558,8041,7416,6693,5882,4991,4042,3036,1995,928,-149,-1222,-2277,-3304,-4283,-5214,-6078,-6875,
-7597,-8232,-8767,-9199,-9525,-9726,-9812,-9778,-9626,-9361,-8987,-8507,-7944,-7290,-6572,-5799,-4990,-4161,-3317,-2474,
-1635,-802,11,814,1593,2346,3081,3789,4478,5152,5804,6431,7024,7579,8080,8523,8888,9176,9371,9465,
9446,9314,9056,8677,8180,7575,6871,6073,5196,4257,3263,2227,1163,81,-994,-2052,-3082,-4071,-5010,-5887,
-6705,-7443,-8090,-8648,-9098,-9437,-9668,-9772,-9766,-9642,-9399,-9043,-8584,-8029,-7394,-6687,-5923,-5127,-4309,-3465,
-2619,-1778,-944,-124,673,1454,2205,2941,3653,4343,5020,5673,6310,6905,7461,7970,8416,8797,9102,9310,
9426,9426,9306,9070,8708,8231,7643,6954,6173,5318,4385,3396,2358,1295,217,-863,-1924,-2955,-3953,-4903,
-5795,-6624,-7381,-8045,-8620,-9084,-9444,-9690,-9822,-9838,-9734,-9513,-9178,-8729,-8187,-7566,-6868,-6119,-5329,-4513,
-3675,-2823,-1974,-1135,-311,489,1269,2027,2765,3482,4187,4869,5535,6167,6771,7331,7847,8309,8711,9033,
9266,9399,9421,9319,9099,8764,8312,7749,7086,6328,5481,4556,3574,2543,1487,415,-657,-1714,-2751,-3757,
-4719,-5628,-6471,-7230,-7915,-8490,-8975,-9353,-9625,-9779,-9819,-9735,-9528,-9204,-8775,-8250,-7643,-6962,-6226,-5444,
-4623,-3783,-2931,-2079,-1241,-419,382,1163,1925,2670,3398,4107,4792,5454,6088,6692,7262,7790,8269,8684,
9024,9271,9417,9453,9373,9174,8863,8432,7895,7245,6499,5659,4747,3766,2748,1697,634,-439,-1505,-2553,
-3571,-4549,-5464,-6316,-7090,-7783,-8381,-8890,-9293,-9590,-9773,-9827,-9761,-9575,-9271,-8861,-8356,-7773,-7110,-6378,
-5605,-4785,-3947,-3095,-2247,-1413,-592,212,999,1769,2520,3249,3961,4649,5304,5945,6554,7134,7675,8165,
8593,8946,9201,9367,9417,9362,9190,8903,8501,7979,7347,6612,5787,4882,3922,2918,1877,817,-255,-1328,
-2386,-3414,-4397,-5316,-6175,-6957,-7666,-8285,-8813,-9242,-9556,-9752,-9825,-9773,-9598,-9323,-8934,-8451,-7874,-7224,
-6500,-5724,-4905,-4070,-3224,-2377,-1543,-714,95,888,1673,2427,3159,3869,4559,5220,5862,6486,7081,7633,
8132,8570,8929,9203,9377,9457,9432,9290,9023,8639,8134,7515,6794,5984,5101,4158,3160,2128,1061,-14,
-1096,-2158,-3184,-4167,-5102,-5967,-6770,-7497,-8141,-8691,-9137,-9463,-9675,-9768,-9741,-9597,-9344,-8984,-8518,-7955,
-7308,-6595,-5827,-5021,-4193,-3353,-2518,-1672,-842,-22,778,1558,2312,3040,3745,4435,5103,5754,6391,6987,
7546,8045,8485,8856,9146,9349,9451,9447,9322,9074,8700,8208,7608,6906,6119,5255,4324,3329,2292,1224,
146,-938,-1997,-3026,-4013,-4954,-5840,-6663,-7409,-8068,-8636,-9088,-9433,-9662,-9782,-9784,-9668,-9436,-9094,-8636,
-8083,-7451,-6746,-5993,-5199,-4379,-3544,-2697,-1850,-1011,-189,613,1388,2143,2874,3589,4289,4969,5630,6262,
6861,7418,7925,8380,8768,9081,9307,9430,9443,9334,9100,8749,8285,7707,7034,6267,5416,4489,3502,2465,
1401,328,-745,-1799,-2831,-3833,-4790,-5693,-6526,-7285,-7956,-8527,-8997,-9363,-9617,-9765,-9791,-9695,-9480,-9148,
-8705,-8165,-7549,-6865,-6123,-5335,-4518,-3677,-2826,-1975,-1134,-313,482,1262,2020,2761,3480,4190,4873,5533,
6164,6767,7329,7848,8317,8725,9057,9299,9433,9459,9364,9156,8825,8387,7838,7186,6428,5587,4663,3680,
2652,1599,530,-535,-1597,-2639,-3653,-4625,-5542,-6385,-7154,-7830,-8420,-8913,-9303,-9589,-9756,-9804,-9728,-9523,
-9206,-8786,-8267,-7674,-7004,-6272,-5492,-4675,-3832,-2981,-2129,-1294,-476,318,1104,1868,2616,3344,4055,4740,
5398,6032,6632,7207,7744,8226,8649,8995,9245,9395,9434,9363,9180,8883,8469,7940,7299,6554,5718,4807,
3838,2828,1786,728,-344,-1412,-2471,-3498,-4472,-5387,-6241,-7013,-7709,-8318,-8837,-9254,-9558,-9742,-9803,-9738,
-9555,-9259,-8865,-8372,-7791,-7130,-6407,-5623,-4803,-3965,-3120,-2275,-1442,-618,184,978,1752,2508,3240,3941,
4622,5285,5921,6539,7126,7672,8168,8597,8946,9210,9377,9438,9402,9245,8972,8574,8057,7427,6699,5879,
4989,4037,3039,2002,936,-143,-1221,-2279,-3306,-4284,-5205,-6066,-6859,-7577,-8212,-8750,-9183,-9502,-9698,-9779,
-9736,-9583,-9313,-8944,-8470,-7898,-7243,-6522,-5750,-4942,-4112,-3272,-2432,-1597,-767,47,842,1618,2373,3100,
3801,4489,5153,5804,6426,7021,7572,8071,8500,8863,9146,9333,9428,9408,9275,9017,8630,8130,7519,6809,
6015,5139,4202,3210,2170,1098,19,-1060,-2118,-3144,-4125,-5059,-5936,-6751,-7485,-8138,-8689,-9137,-9469,-9686,
-9788,-9778,-9647,-9404,-9048,-8585,-8025,-7383,-6668,-5910,-5112,-4289,-3454,-2612,-1767,-928,-109,690,1468,2218,
2944,3653,4347,5025,5680,6313,6907,7460,7963,8411,8789,9095,9310,9426,9425,9304,9061,8697,8218,7632,
6951,6176,5316,4385,3394,2355,1287,212,-859,-1913,-2941,-3936,-4884,-5776,-6607,-7358,-8019,-8579,-9042,-9393,
-9636,-9767,-9779,-9676,-9448,-9103,-8655,-8108,-7477,-6785,-6041,-5255,-4433,-3593,-2745,-1896,-1057,-239,559,1330,
2086,2823,3541,4238,4925,5582,6211,6807,7364,7880,8342,8739,9062,9291,9417,9430,9326,9101,8761,8308,
7751,7083,6321,5468,4540,3552,2524,1466,398,-671,-1730,-2769,-3779,-4743,-5651,-6492,-7250,-7918,-8499,-8982,
-9360,-9632,-9786,-9824,-9734,-9521,-9193,-8762,-8237,-7633,-6956,-6218,-5437,-4615,-3773,-2922,-2078,-1239,-422,378,
1155,1918,2663,3390,4094,4775,5432,6065,6667,7232,7763,8243,8653,8987,9231,9370,9400,9317,9123,8809,
8384,7842,7193,6439,5596,4680,3703,2691,1644,584,-489,-1555,-2606,-3627,-4597,-5507,-6353,-7121,-7805,-8405,
-8912,-9316,-9604,-9779,-9827,-9753,-9561,-9255,-8844,-8345,-7753,-7085,-6352,-5571,-4752,-3910,-3064,-2220,-1385,-564,
245,1031,1800,2552,3283,3983,4666,5328,5963,6578,7155,7696,8186,8609,8951,9207,9366,9420,9364,9197,
8909,8499,7971,7333,6595,5766,4869,3913,2908,1868,800,-276,-1351,-2408,-3425,-4403,-5321,-6173,-6958,-7665,
-8293,-8817,-9238,-9549,-9735,-9803,-9751,-9585,-9304,-8918,-8434,-7858,-7198,-6471,-5695,-4884,-4053,-3210,-2367,-1531,
-706,106,901,1674,2427,3155,3859,4545,5208,5853,6475,7062,7610,8104,8533,8887,9159,9339,9417,9385,
9235,8965,8569,8059,7435,6717,5911,5032,4086,3085,2046,976,-107,-1180,-2235,-3260,-4239,-5168,-6038,-6840,
-7569,-8210,-8750,-9183,-9509,-9714,-9805,-9781,-9639,-9383,-9012,-8539,-7974,-7324,-6608,-5841,-5042,-4216,-3374,-2525,
-1686,-852,-31,766,1540,2293,3019,3731,4421,5093,5751,6378,6969,7520,8020,8462,8836,9130,9330,9430,
9419,9288,9033,8657,8169,7571,6877,6089,5220,4281,3285,2245,1181,106,-965,-2020,-3047,-4037,-4977,-5865,
-6683,-7424,-8075,-8626,-9077,-9425,-9656,-9773,-9773,-9652,-9411,-9055,-8596,-8044,-7410,-6710,-5956,-5163,-4338,-3496,
-2645,-1797,-963,-148,650,1425,2177,2914,3631,4328,5006,5660,6289,6885,7439,7950,8405,8795,9104,9323,
9436,9441,9325,9092,8742,8275,7702,7023,6246,5388,4455,3466,2431,1374,304,-768,-1825,-2861,-3868,-4826,
-5721,-6551,-7303,-7967,-8540,-9012,-9378,-9639,-9775,-9797,-9696,-9471,-9136,-8696,-8164,-7549,-6861,-6117,-5327,-4505,
-3665,-2816,-1970,-1137,-317,479,1260,2022,2760,3479,4183,4859,5515,6145,6747,7312,7834,8302,8706,9031,
9261,9393,9415,9324,9113,8787,8347,7789,7126,6367,5517,4600,3620,2601,1550,479,-595,-1659,-2704,-3714,
-4677,-5583,-6419,-7180,-7866,-8456,-8948,-9338,-9616,-9771,-9809,-9721,-9520,-9206,-8786,-8270,-7668,-6992,-6253,-5467,
-4647,-3807,-2958,-2113,-1279,-457,347,1134,1901,2647,3371,4074,4754,5414,6051,6659,7235,7767,8247,8660,
8997,9248,9398,9443,9376,9191,8889,8467,7928,7279,6533,5703,4801,3834,2823,1775,706,-371,-1441,-2492,
-3505,-4475,-5390,-6238,-7017,-7719,-8329,-8843,-9246,-9542,-9719,-9777,-9716,-9536,-9246,-8845,-8346,-7757,-7093,-6363,
-5584,-4773,-3940,-3096,-2248,-1410,-587,220,1011,1784,2531,3255,3959,4643,5306,5950,6564,7146,7686,8171,
8594,8946,9212,9382,9447,9400,9234,8948,8542,8023,7397,6670,5854,4963,4009,3000,1952,884,-194,-1264,
-2315,-3335,-4313,-5238,-6109,-6902,-7618,-8244,-8772,-9198,-9511,-9713,-9793,-9757,-9598,-9328,-8945,-8459,-7884,-7232,
-6514,-5746,-4940,-4109,-3264,-2415,-1575,-745,65,856,1631,2379,3110,3820,4511,5179,5825,6447,7034,7579,
8076,8516,8883,9165,9355,9441,9414,9266,9000,8620,8123,7516,6809,6009,5126,4179,3179,2140,1077,6,
-1066,-2123,-3149,-4135,-5077,-5954,-6760,-7487,-8127,-8676,-9119,-9454,-9677,-9779,-9762,-9624,-9369,-9006,-8540,-7982,
-7344,-6637,-5874,-5070,-4244,-3400,-2551,-1709,-879,-66,732,1510,2268,3000,3712,4406,5077,5728,6352,6947,
7503,8010,8458,8839,9137,9338,9442,9434,9310,9069,8708,8232,7642,6948,6160,5290,4357,3364,2333,1272,
202,-874,-1938,-2972,-3971,-4915,-5807,-6622,-7364,-8023,-8591,-9055,-9414,-9655,-9780,-9784,-9667,-9435,-9095,-8651,
-8108,-7482,-6786,-6032,-5237,-4411,-3573,-2728,-1884,-1053,-234,564,1349,2107,2845,3562,4256,4930,5584,6216,
6816,7383,7896,8354,8746,9057,9279,9402,9415,9315,9095,8754,8297,7725,7045,6274,5423,4502,3525,2499,
1442,367,-709,-1776,-2816,-3815,-4767,-5666,-6500,-7261,-7936,-8521,-9002,-9379,-9635,-9777,-9803,-9712,-9501,-9180,
-8751,-8223,-7607,-6920,-6176,-5383,-4571,-3731,-2887,-2041,-1200,-375,427,1213,1975,2714,3432,4134,4813,5478,
6112,6719,7290,7815,8282,8684,9015,9255,9399,9434,9358,9152,8833,8388,7840,7185,6434,5599,4689,3718,
2693,1637,563,-510,-1575,-2618,-3622,-4588,-5501,-6351,-7127,-7819,-8415,-8914,-9302,-9584,-9755,-9804,-9737,-9548,
-9242,-8830,-8315,-7714,-7042,-6314,-5537,-4724,-3888,-3040,-2190,-1346,-522,283,1067,1830,2576,3298,4003,4693,
5358,5995,6601,7174,7705,8187,8604,8953,9214,9375,9424,9361,9178,8878,8459,7935,7302,6569,5744,4839,
3873,2856,1805,741,-330,-1394,-2441,-3459,-4438,-5364,-6226,-7009,-7711,-8323,-8839,-9251,-9558,-9752,-9825,-9776,
-9599,-9315,-8916,-8420,-7838,-7180,-6462,-5691,-4875,-4040,-3188,-2338,-1498,-671,132,924,1693,2444,3177,3890,
4579,5246,5885,6499,7080,7626,8121,8554,8917,9194,9367,9435,9392,9234,8961,8571,8069,7453,6732,5916,
5023,4069,3067,2033,971,-98,-1166,-2224,-3253,-4243,-5174,-6040,-6834,-7547,-8177,-8713,-9153,-9482,-9692,-9782,
-9746,-9591,-9322,-8949,-8478,-7915,-7273,-6556,-5789,-4978,-4145,-3299,-2456,-1616,-792,18,815,1593,2350,3087,
3793,4482,5148,5793,6414,7006,7560,8068,8510,8879,9165,9353,9439,9422,9292,9047,8673,8184,7578,6868,
6068,5191,4252,3263,2234,1172,97,-980,-2050,-3083,-4075,-5009,-5884,-6695,-7429,-8083,-8646,-9103,-9450,-9674,
-9778,-9770,-9637,-9400,-9051,-8600,-8050,-7414,-6706,-5944,-5142,-4317,-3477,-2638,-1800,-968,-148,654,1437,2193,
2928,3638,4325,4998,5650,6283,6884,7445,7956,8404,8784,9083,9297,9412,9418,9311,9080,8726,8251,7664,
6972,6198,5343,4420,3440,2410,1347,266,-814,-1873,-2908,-3897,-4840,-5729,-6559,-7315,-7987,-8559,-9029,-9387,
-9628,-9755,-9769,-9668,-9452,-9117,-8679,-8138,-7509,-6810,-6062,-5272,-4454,-3618,-2774,-1930,-1088,-261,541,1321,
2079,2814,3528,4224,4907,5571,6207,6811,7375,7889,8349,8740,9065,9302,9440,9465,9372,9154,8816,8361,
7798,7138,6382,5544,4625,3644,2613,1552,475,-594,-1653,-2686,-3691,-4652,-5562,-6410,-7181,-7861,-8442,-8923,
-9302,-9572,-9729,-9773,-9698,-9497,-9178,-8748,-8221,-7611,-6934,-6201,-5426,-4614,-3776,-2924,-2076,-1232,-411,389,
1166,1922,2662,3385,4091,4780,5441,6076,6673,7240,7764,8239,8653,8994,9247,9400,9433,9351,9152,8839,
8415,7880,7241,6500,5665,4744,3770,2746,1697,629,-433,-1494,-2540,-3559,-4537,-5459,-6314,-7088,-7777,-8376,
-8879,-9283,-9583,-9767,-9828,-9765,-9578,-9272,-8860,-8356,-7772,-7112,-6387,-5614,-4797,-3957,-3102,-2254,-1417,-597,
202,985,1753,2506,3236,3948,4635,5293,5927,6532,7108,7650,8143,8575,8926,9191,9352,9406,9348,9179,
8897,8503,7988,7359,6627,5799,4896,3935,2931,1896,839,-229,-1299,-2361,-3391,-4372,-5300,-6152,-6934,-7639,
-8259,-8790,-9219,-9538,-9737,-9808,-9760,-9589,-9306,-8923,-8444,-7876,-7224,-6503,-5727,-4913,-4073,-3228,-2387,-1554,
-732,75,871,1646,2404,3137,3842,4526,5183,5825,6443,7035,7589,8090,8526,8886,9158,9336,9414,9386,
9248,8990,8611,8105,7484,6765,5958,5075,4131,3144,2110,1046,-31,-1114,-2180,-3208,-4192,-5118,-5983,-6784,
-7515,-8164,-8715,-9160,-9493,-9703,-9793,-9767,-9626,-9376,-9019,-8553,-7997,-7353,-6632,-5866,-5059,-4234,-3401,-2559,
-1723,-892,-73,729,1508,2263,2992,3696,4382,5050,5705,6333,6933,7489,7993,8432,8802,9091,9295,9402,
9402,9279,9036,8666,8177,7573,6877,6097,5236,4308,3322,2283,1215,130,-947,-2002,-3030,-4015,-4954,-5839,
-6663,-7413,-8076,-8637,-9093,-9437,-9667,-9784,-9785,-9676,-9446,-9102,-8651,-8097,-7463,-6759,-6003,-5211,-4397,-3560,
-2713,-1867,-1029,-204,598,1374,2127,2858,3570,4264,4945,5607,6239,6840,7395,7901,8356,8747,9060,9289,
9415,9431,9321,9089,8738,8272,7701,7032,6270,5422,4497,3504,2471,1405,332,-739,-1790,-2822,-3819,-4781,
-5686,-6525,-7286,-7956,-8529,-8999,-9363,-9622,-9771,-9802,-9710,-9496,-9165,-8723,-8184,-7569,-6886,-6146,-5364,-4547,
-3708,-2859,-2007,-1166,-346,451,1231,1985,2724,3447,4151,4837,5494,6130,6728,7291,7811,8282,8691,9024,
9266,9405,9429,9338,9127,8806,8364,7822,7167,6417,5572,4649,3668,2644,1594,531,-536,-1596,-2639,-3653,
-4629,-5544,-6388,-7154,-7833,-8423,-8913,-9310,-9596,-9770,-9815,-9737,-9538,-9221,-8799,-8288,-7693,-7024,-6294,-5511,
-4694,-3851,-2996,-2149,-1313,-493,306,1089,1856,2604,3336,4045,4728,5384,6018,6623,7198,7733,8222,8646,
8990,9240,9389,9433,9366,9183,8891,8482,7954,7311,6564,5733,4824,3857,2849,1810,750,-325,-1395,-2451,
-3475,-4451,-5371,-6216,-6994,-7691,-8304,-8825,-9241,-9550,-9735,-9795,-9733,-9554,-9266,-8872,-8381,-7800,-7144,-6417,
-5636,-4822,-3981,-3134,-2292,-1456,-636,173,967,1742,2494,3227,3932,4615,5275,5914,6530,7117,7665,8160,
8589,8938,9202,9370,9438,9400,9244,8972,8573,8056,7430,6697,5883,4996,4046,3046,2008,940,-139,-1217,
-2277,-3299,-4277,-5202,-6062,-6859,-7580,-8216,-8758,-9188,-9509,-9709,-9790,-9752,-9599,-9339,-8965,-8490,-7921,-7271,
-6551,-5778,-4971,-4141,-3304,-2459,-1622,-791,23,822,1600,2355,3080,3788,4474,5144,5793,6417,7011,7566,
8060,8497,8864,9145,9338,9430,9412,9280,9015,8636,8139,7530,6822,6030,5157,4220,3222,2179,1114,35,
-1039,-2092,-3119,-4104,-5040,-5924,-6737,-7474,-8124,-8678,-9121,-9453,-9679,-9787,-9777,-9649,-9407,-9052,-8589,-8028,
-7389,-6683,-5924,-5126,-4304,-3463,-2620,-1772,-940,-119,680,1459,2209,2942,3654,4350,5025,5679,6307,6905,
7459,7962,8411,8793,9097,9311,9417,9417,9300,9056,8695,8220,7635,6951,6173,5311,4377,3384,2348,1286,
212,-856,-1917,-2951,-3946,-4900,-5795,-6623,-7372,-8030,-8598,-9062,-9420,-9670,-9801,-9816,-9708,-9481,-9142,-8695,
-8153,-7530,-6842,-6091,-5304,-4480,-3642,-2792,-1943,-1106,-288,511,1289,2048,2786,3502,4204,4884,5539,6172,
6771,7330,7846,8308,8707,9031,9257,9383,9399,9299,9082,8745,8295,7736,7068,6302,5452,4530,3546,2519,
1467,400,-671,-1734,-2776,-3779,-4741,-5646,-6482,-7240,-7914,-8498,-8983,-9363,-9634,-9788,-9820,-9728,-9520,-9197,
-8767,-8243,-7634,-6954,-6216,-5429,-4606,-3767,-2918,-2070,-1233,-410,392,1175,1941,2685,3411,4112,4796,5457,
6092,6695,7269,7799,8273,8684,9020,9264,9407,9445,9371,9175,8864,8434,7891,7240,6489,5651,4743,3772,
2755,1708,642,-433,-1499,-2549,-3564,-4528,-5444,-6292,-7066,-7757,-8358,-8866,-9267,-9553,-9727,-9782,-9711,-9526,
-9225,-8818,-8312,-7718,-7050,-6323,-5541,-4728,-3888,-3043,-2199,-1358,-535,268,1055,1825,2572,3297,4002,4687,
5348,5985,6598,7176,7713,8198,8618,8967,9225,9389,9444,9387,9217,8925,8515,7988,7357,6621,5799,4902,
3943,2930,1884,817,-256,-1324,-2375,-3397,-4377,-5297,-6159,-6951,-7657,-8276,-8797,-9215,-9525,-9719,-9795,-9746,
-9582,-9302,-8910,-8420,-7842,-7187,-6467,-5697,-4884,-4047,-3204,-2357,-1516,-689,120,909,1682,2437,3167,3875,
4565,5229,5875,6490,7077,7625,8123,8558,8921,9196,9380,9453,9421,9270,9001,8614,8114,7500,6785,5978,
5091,4141,3144,2106,1046,-27,-1095,-2151,-3180,-4165,-5098,-5970,-6767,-7486,-8121,-8663,-9103,-9434,-9646,-9740,
-9715,-9566,-9303,-8932,-8464,-7899,-7256,-6545,-5778,-4971,-4139,-3297,-2452,-1612,-788,28,823,1599,2354,3089,
3800,4486,5158,5804,6425,7023,7577,8083,8530,8901,9193,9388,9483,9473,9345,9100,8733,8246,7649,6947,
6154,5282,4344,3356,2323,1263,188,-884,-1953,-2988,-3981,-4923,-5800,-6618,-7356,-8012,-8575,-9035,-9386,-9618,
-9730,-9726,-9604,-9368,-9020,-8572,-8025,-7394,-6688,-5933,-5135,-4312,-3475,-2636,-1793,-965,-147,654,1436,2189,
2921,3632,4319,4994,5647,6277,6877,7441,7953,8401,8787,9090,9308,9428,9438,9333,9105,8756,8286,7705,
7021,6250,5395,4471,3491,2461,1396,318,-759,-1820,-2859,-3856,-4804,-5698,-6533,-7292,-7967,-8543,-9017,-9383,
-9629,-9765,-9786,-9688,-9478,-9148,-8714,-8180,-7555,-6862,-6118,-5331,-4514,-3682,-2834,-1990,-1148,-325,476,1255,
2013,2746,3459,4157,4839,5505,6142,6743,7309,7826,8290,8687,9014,9256,9396,9426,9338,9127,8795,8348,
7791,7132,6382,5542,4631,3651,2624,1560,486,-584,-1641,-2680,-3683,-4647,-5561,-6410,-7185,-7868,-8454,-8942,
-9325,-9598,-9759,-9808,-9737,-9542,-9226,-8801,-8276,-7669,-6996,-6265,-5490,-4678,-3841,-2990,-2142,-1297,-475,325,
1102,1861,2601,3328,4034,4724,5389,6022,6627,7191,7718,8199,8618,8961,9221,9375,9417,9341,9151,8844,
8422,7892,7261,6520,5689,4777,3800,2781,1732,666,-399,-1457,-2505,-3530,-4509,-5433,-6293,-7070,-7763,-8364,
-8872,-9282,-9585,-9775,-9842,-9785,-9600,-9299,-8893,-8391,-7813,-7156,-6434,-5664,-4847,-4004,-3152,-2303,-1466,-648,
156,937,1708,2460,3195,3909,4590,5255,5888,6497,7075,7619,8116,8552,8909,9176,9339,9398,9347,9183,
8906,8518,8006,7384,6652,5830,4928,3966,2964,1933,873,-196,-1264,-2327,-3363,-4348,-5277,-6134,-6921,-7628,
-8254,-8785,-9223,-9551,-9754,-9834,-9786,-9620,-9342,-8962,-8490,-7928,-7280,-6560,-5786,-4967,-4131,-3282,-2444,-1610,
-789,19,815,1594,2355,3092,3798,4480,5140,5781,6407,7001,7559,8064,8505,8869,9143,9324,9408,9383,
9253,9004,8630,8131,7514,6797,5989,5112,4171,3186,2158,1099,17,-1066,-2133,-3165,-4150,-5076,-5941,-6745,
-7477,-8128,-8688,-9143,-9480,-9696,-9786,-9762,-9626,-9379,-9026,-8570,-8017,-7373,-6654,-5884,-5078,-4255,-3420,-2581,
-1746,-917,-93,714,1496,2252,2980,3684,4371,5037,5694,6332,6935,7498,8002,8444,8818,9104,9312,9429,
9439,9323,9086,8718,8231,7630,6935,6157,5303,4382,3397,2360,1290,203,-883,-1938,-2965,-3953,-4887,-5775,
-6606,-7364,-8036,-8606,-9064,-9411,-9642,-9762,-9773,-9670,-9452,-9116,-8665,-8115,-7483,-6774,-6022,-5236,-4427,-3595,
-2748,-1899,-1057,-229,571,1351,2101,2826,3540,4236,4920,5587,6226,6828,7381,7888,8342,8732,9051,9291,
9427,9447,9342,9111,8759,8295,7728,7065,6312,5468,4547,3551,2515,1447,369,-701,-1748,-2779,-3777,-4739,
-5651,-6499,-7267,-7941,-8511,-8985,-9348,-9616,-9773,-9814,-9732,-9526,-9194,-8751,-8214,-7595,-6919,-6187,-5408,-4598,
-3753,-2900,-2043,-1198,-378,420,1194,1946,2688,3416,4128,4819,5484,6117,6713,7271,7795,8268,8687,9030,
9280,9427,9455,9359,9148,8828,8400,7864,7221,6474,5633,4708,3721,2694,1646,588,-474,-1532,-2579,-3598,
-4582,-5504,-6356,-7120,-7800,-8388,-8880,-9284,-9583,-9766,-9820,-9747,-9545,-9232,-8812,-8302,-7716,-7055,-6331,-5553,
-4732,-3883,-3028,-2177,-1342,-531,267,1048,1819,2573,3309,4022,4708,5364,5996,6599,7175,7715,8207,8640,
8992,9243,9392,9434,9368,9188,8906,8505,7985,7344,6599,5762,4847,3881,2873,1842,790,-284,-1359,-2425,
-3457,-4441,-5362,-6210,-6981,-7681,-8298,-8828,-9258,-9577,-9770,-9833,-9770,-9589,-9302,-8915,-8437,-7866,-7214,-6492,
-5704,-4884,-4044,-3196,-2357,-1528,-707,100,897,1680,2442,3180,3884,4563,5218,5858,6480,7074,7632,8133,
8567,8918,9180,9345,9415,9387,9244,8980,8592,8078,7447,6710,5895,5011,4072,3082,2052,983,-100,-1191,
-2257,-3282,-4257,-5177,-6033,-6831,-7559,-8205,-8761,-9202,-9525,-9720,-9799,-9764,-9618,-9365,-9004,-8543,-7976,-7323,
-6596,-5820,-5008,-4184,-3351,-2513,-1673,-843,-18,789,1574,2332,3050,3756,4443,5111,5766,6403,7005,7564,
8062,8492,8855,9137,9336,9443,9437,9310,9055,8672,8164,7555,6851,6063,5205,4274,3283,2237,1162,72,
-1006,-2062,-3082,-4058,-4995,-5880,-6705,-7456,-8122,-8675,-9122,-9453,-9676,-9789,-9791,-9678,-9450,-9102,-8638,-8075,
-7432,-6723,-5969,-5180,-4364,-3531,-2683,-1834,-987,-160,642,1415,2167,2892,3604,4301,4987,5653,6288,6884,
7440,7943,8385,8771,9084,9310,9433,9435,9322,9073,8710,8231,7656,6984,6220,5366,4437,3438,2391,1324,
251,-813,-1865,-2892,-3884,-4842,-5753,-6590,-7347,-8012,-8571,-9033,-9389,-9644,-9791,-9818,-9724,-9502,-9159,-8706,
-8158,-7537,-6852,-6115,-5331,-4515,-3672,-2812,-1957,-1113,-295,499,1274,2028,2768,3491,4205,4893,5558,6187,
6781,7334,7854,8323,8735,9069,9308,9435,9454,9345,9128,8794,8354,7807,7153,6392,5540,4606,3617,2587,
1534,479,-581,-1642,-2683,-3703,-4681,-5597,-6437,-7192,-7860,-8442,-8934,-9321,-9608,-9776,-9824,-9734,-9520,-9194,
-8765,-8247,-7652,-6985,-6258,-5472,-4646,-3799,-2945,-2095,-1263,-451,343,1125,1891,2643,3375,4084,4767,5425,
6049,6650,7227,7765,8249,8673,9013,9257,9396,9426,9352,9168,8869,8452,7922,7270,6514,5668,4753,3787,
2778,1740,683,-387,-1460,-2520,-3548,-4519,-5434,-6275,-7041,-7731,-8341,-8859,-9276,-9574,-9752,-9803,-9726,-9536,
-9233,-8834,-8344,-7762,-7099,-6367,-5578,-4753,-3911,-3068,-2231,-1401,-578,227,1020,1799,2555,3282,3987,4662,
5321,5957,6577,7166,7717,8209,8635,8979,9238,9398,9462,9421,9265,8987,8585,8060,7421,6686,5860,4974,
4027,3031,1989,921,-164,-1244,-2304,-3327,-4297,-5209,-6067,-6859,-7578,-8211,-8747,-9173,-9483,-9671,-9737,-9695,
-9532,-9264,-8894,-8413,-7835,-7176,-6445,-5675,-4863,-4034,-3198,-2363,-1527,-698,118,914,1691,2440,3162,3859,
4544,5209,5860,6484,7079,7632,8125,8552,8907,9185,9377,9464,9446,9308,9042,8648,8140,7523,6814,6015,
5144,4202,3203,2157,1087,2,-1076,-2129,-3150,-4130,-5061,-5940,-6757,-7491,-8140,-8684,-9122,-9450,-9656,-9762,
-9745,-9609,-9363,-9002,-8531,-7964,-7311,-6599,-5842,-5044,-4224,-3390,-2544,-1704,-866,-46,747,1519,2263,2992,
3694,4389,5065,5722,6353,6946,7497,7998,8440,8819,9122,9336,9445,9436,9312,9064,8695,8211,7623,6938,
6161,5296,4361,3361,2323,1253,183,-885,-1936,-2964,-3960,-4909,-5804,-6634,-7379,-8033,-8589,-9043,-9389,-9630,
-9757,-9767,-9653,-9416,-9068,-8611,-8057,-7427,-6730,-5984,-5200,-4381,-3538,-2689,-1841,-1003,-192,604,1372,2122,
2857,3573,4273,4954,5614,6242,6834,7388,7904,8361,8761,9086,9312,9434,9439,9334,9105,8761,8301,7742,
7072,6303,5442,4510,3519,2493,1432,368,11,-294,-1552,-2299,-2308,-1697,-368,1294,2565,3464,4109,4796,
6028,7662,9300,10614,11073,10693,10029,9397,8910,8539,7967,6880,5242,3249,1171,-802,-2625,-4071,-5247,-6393,
-7536,-8590,-9694,-10672,-11200,-11360,-11383,-11255,-11197,-11497,-11941,-12197,-12186,-11741,-10691,-9284,-7838,-6495,-5367,-4446,
-3579,-2652,-1625,-494,611,1628,2570,3397,4138,5025,6107,7267,8477,9653,10460,10843,11029,11083,11087,11244,
11453,11412,11035,10289,9153,7827,6562,5443,4485,3635,2677,1474,97,-1326,-2666,-3719,-4445,-4984,-5456,-5993,
-6749,-7637,-8459,-9098,-9458,-9497,-9355,-9201,-9051,-8868,-8587,-8047,-7190,-6076,-4797,-3494,-2293,-1222,-262,568,
1236,1719,2000,2088,2041,1914,1741,1527,1256,951,677,532,581,832,1234,1718,2250,2882,3640,4501,
5422,6296,6960,7344,7485,7485,7481,7521,7510,7304,6773,5872,4687,3393,2117,998,71,-801,-1769,-2856,
-4069,-5286,-6309,-7038,-7489,-7766,-7936,-8139,-8406,-8634,-8689,-8466,-7933,-7148,-6244,-5334,-4470,-3655,-2885,-2172,
-1528,-990,-606,-368,-250,-253,-329,-371,-348,-172,229,874,1715,2681,3699,4740,5852,7107,8545,10048,
11398,12422,12992,13114,12937,12643,12307,11864,11223,10244,8868,7215,5484,3877,2519,1391,411,-575,-1702,-2992,
-4349,-5643,-6736,-7558,-8174,-8754,-9425,-10224,-11095,-11888,-12441,-12654,-12514,-12129,-11656,-11178,-10709,-10143,-9340,-8222,
-6856,-5346,-3829,-2426,-1211,-170,729,1502,2201,2869,3477,4025,4506,4912,5251,5604,6065,6671,7402,8168,
8827,9246,9399,9373,9271,9176,9096,8941,8570,7890,6937,5839,4737,3753,2925,2166,1337,330,-886,-2241,
-3581,-4753,-5686,-6407,-7016,-7621,-8289,-8987,-9612,-10038,-10166,-9986,-9572,-9025,-8411,-7755,-7008,-6122,-5097,-4001,
-2905,-1886,-996,-270,292,680,901,969,923,824,748,740,805,931,1100,1333,1697,2240,2979,3872,
4832,5776,6682,7598,8537,9486,10337,10911,11073,10774,10107,9230,8298,7409,6550,5627,4556,3277,1856,431,
-886,-2000,-2915,-3741,-4598,-5553,-6616,-7707,-8673,-9381,-9812,-10032,-10132,-10226,-10362,-10477,-10453,-10175,-9619,-8804,
-7813,-6779,-5801,-4872,-3962,-3056,-2138,-1214,-325,498,1248,1911,2483,3009,3555,4190,4954,5841,6782,7667,
8439,9094,9685,10273,10873,11414,11737,11712,11300,10561,9636,8689,7819,7005,6157,5172,3984,2611,1174,-186,
-1385,-2415,-3331,-4237,-5233,-6334,-7466,-8513,-9362,-9958,-10329,-10555,-10733,-10893,-10986,-10897,-10530,-9846,-8878,-7737,
-6533,-5334,-4186,-3082,-2041,-1089,-278,365,850,1200,1449,1611,1699,1716,1697,1706,1807,2043,2415,2893,
3445,4061,4756,5562,6458,7368,8182,8780,9111,9218,9182,9062,8861,8527,7971,7135,6039,4788,3517,2341,
1298,353,-592,-1622,-2768,-3973,-5133,-6142,-6944,-7566,-8084,-8584,-9132,-9700,-10204,-10522,-10573,-10351,-9911,-9339,
-8714,-8058,-7349,-6553,-5668,-4725,-3779,-2885,-2068,-1337,-690,-109,422,934,1451,2014,2642,3333,4058,4822,
5635,6531,7540,8645,9758,10746,11476,11898,12044,12008,11872,11660,11314,10750,9904,8786,7485,6144,4879,3737,
2689,1635,494,-777,-2135,-3474,-4689,-5710,-6549,-7279,-7998,-8774,-9611,-10423,-11092,-11513,-11646,-11524,-11216,-10797,
-10276,-9622,-8781,-7733,-6520,-5241,-3982,-2827,-1798,-907,-137,505,1025,1420,1721,1964,2194,2438,2708,3016,
3384,3837,4408,5086,5834,6574,7250,7829,8342,8814,9237,9562,9688,9523,9037,8285,7379,6448,5557,4700,
3813,2811,1660,394,-888,-2083,-3108,-3968,-4724,-5462,-6259,-7112,-7963,-8701,-9232,-9517,-9588,-9518,-9371,-9166,
-8869,-8407,-7743,-6892,-5918,-4910,-3942,-3047,-2233,-1496,-832,-261,198,544,815,1054,1293,1555,1863,2239,
2709,3308,4045,4902,5821,6736,7618,8468,9310,10135,10875,11422,11645,11487,10984,10255,9434,8607,7789,6913,
5903,4707,3354,1936,575,-645,-1700,-2646,-3573,-4564,-5639,-6746,-7788,-8666,-9327,-9797,-10145,-10468,-10791,-11083,
-11231,-11117,-10679,-9934,-8987,-7937,-6870,-5805,-4738,-3637,-2526,-1449,-469,375,1073,1648,2133,2553,2947,3340,
3760,4227,4751,5316,5898,6484,7094,7756,8469,9200,9851,10309,10486,10365,10014,9534,9007,8445,7797,6976,
5938,4696,3339,1989,751,-346,-1337,-2315,-3354,-4492,-5678,-6818,-7805,-8585,-9174,-9637,-10066,-10502,-10916,-11222,
-11299,-11073,-10560,-9842,-9008,-8140,-7254,-6330,-5353,-4329,-3318,-2396,-1603,-966,-454,-44,295,580,819,1035,
1262,1544,1908,2361,2905,3545,4301,5179,6172,7211,8201,9023,9623,10000,10218,10338,10365,10246,9895,9239,
8279,7107,5854,4652,3560,2555,1549,456,-779,-2107,-3432,-4635,-5642,-6449,-7136,-7800,-8520,-9298,-10065,-10687,
-11059,-11138,-10958,-10619,-10206,-9745,-9199,-8497,-7587,-6493,-5286,-4089,-2985,-2012,-1163,-408,284,931,1532,2083,
2596,3077,3552,4041,4580,5203,5950,6814,7754,8681,9498,10133,10585,10907,11161,11364,11459,11339,10910,10144,
9114,7954,6803,5751,4791,3831,2779,1572,228,-1159,-2460,-3576,-4493,-5274,-6025,-6830,-7722,-8632,-9443,-10032,
-10347,-10394,-10267,-10058,-9801,-9471,-8976,-8247,-7272,-6129,-4934,-3800,-2780,-1884,-1089,-375,264,797,1209,1504,
1713,1884,2048,2243,2498,2844,3311,3891,4572,5296,6002,6671,7314,7968,8642,9288,9794,10034,9920,9466,
8771,7977,7189,6432,5648,4739,3631,2326,913,-469,-1707,-2752,-3647,-4492,-5398,-6410,-7491,-8531,-9404,-10031,
-10415,-10630,-10787,-10955,-11116,-11175,-11005,-10529,-9745,-8762,-7703,-6672,-5710,-4794,-3887,-2964,-2055,-1201,-450,172,
678,1108,1499,1908,2369,2922,3575,4309,5083,5848,6582,7307,8070,8895,9756,10538,11097,11308,11139,10668,
10041,9384,8749,8087,7300,6292,5049,3636,2198,869,-267,-1239,-2146,-3098,-4171,-5348,-6533,-7598,-8436,-9029,
-9444,-9796,-10182,-10616,-11015,-11229,-11127,-10657,-9880,-8926,-7916,-6922,-5940,-4920,-3831,-2695,-1584,-581,255,908,
1408,1800,2126,2426,2725,3042,3398,3795,4227,4692,5203,5799,6514,7347,8246,9092,9763,10164,10303,10263,
10142,9996,9799,9445,8837,7920,6747,5448,4186,3067,2100,1211,273,-799,-2017,-3295,-4498,-5509,-6283,-6865,
-7368,-7908,-8528,-9186,-9750,-10071,-10067,-9743,-9200,-8566,-7922,-7277,-6570,-5737,-4765,-3701,-2644,-1691,-890,-252,
255,681,1061,1423,1774,2130,2494,2874,3275,3713,4240,4897,5719,6671,7673,8584,9300,9780,10064,10246,
10397,10496,10451,10133,9464,8462,7247,5989,4829,3811,2886,1929,831,-445,-1842,-3219,-4437,-5425,-6200,-6867,
-7558,-8356,-9248,-10137,-10862,-11314,-11443,-11319,-11060,-10767,-10457,-10071,-9498,-8658,-7566,-6316,-5047,-3876,-2859,-1987,
-1223,-518,132,729,1251,1694,2065,2383,2676,3000,3411,3955,4641,5427,6238,6974,7574,8056,8482,8915,
9358,9729,9891,9717,9163,8308,7306,6315,5423,4612,3770,2794,1606,247,-1163,-2469,-3573,-4452,-5199,-5931,
-6758,-7702,-8691,-9572,-10221,-10578,-10663,-10599,-10488,-10384,-10235,-9940,-9378,-8517,-7427,-6229,-5051,-3985,-3037,-2183,
-1388,-637,47,639,1121,1495,1786,2024,2254,2532,2903,3407,4046,4786,5554,6295,6989,7671,8400,9197,
10002,10688,11083,11091,10723,10093,9366,8664,8007,7315,6471,5389,4072,2629,1213,-40,-1084,-1964,-2808,-3734,
-4795,-5953,-7080,-8034,-8729,-9166,-9443,-9686,-9976,-10309,-10568,-10597,-10284,-9618,-8693,-7649,-6615,-5645,-4722,-3781,
-2797,-1783,-797,87,834,1418,1870,2234,2571,2934,3369,3885,4479,5101,5711,6286,6862,7507,8256,9093,
9916,10567,10910,10894,10586,10118,9628,9151,8649,7996,7094,5916,4543,3120,1800,664,-307,-1214,-2181,-3295,
-4538,-5802,-6943,-7864,-8529,-9014,-9441,-9910,-10454,-10987,-11365,-11446,-11166,-10569,-9780,-8922,-8073,-7235,-6347,-5370,
-4303,-3212,-2182,-1283,-553,8,443,793,1099,1401,1724,2089,2487,2910,3353,3830,4390,5084,5928,6875,
7817,8609,9157,9441,9546,9564,9565,9515,9304,8822,8004,6892,5628,4372,3248,2274,1372,426,-672,-1931,
-3269,-4550,-5643,-6497,-7155,-7725,-8338,-9049,-9822,-10528,-11023,-11202,-11049,-10655,-10138,-9586,-9014,-8368,-7564,-6560,
-5405,-4186,-3019,-1982,-1111,-393,215,758,1253,1724,2179,2620,3045,3452,3866,4332,4912,5651,6539,7510,
8440,9224,9802,10216,10540,10841,11112,11252,11135,10654,9817,8730,7563,6455,5471,4565,3628,2547,1279,-119,
-1519,-2781,-3825,-4664,-5388,-6125,-6960,-7893,-8825,-9624,-10161,-10396,-10381,-10218,-10003,-9770,-9459,-8974,-8237,-7246,
-6080,-4864,-3704,-2674,-1778,-995,-295,340,908,1399,1817,2166,2457,2711,2970,3291,3724,4305,5021,5806,
6576,7262,7858,8411,8979,9575,10123,10492,10548,10226,9578,8739,7853,7023,6239,5419,4453,3281,1925,499,
-861,-2043,-3028,-3877,-4713,-5624,-6650,-7722,-8724,-9528,-10068,-10368,-10519,-10620,-10729,-10801,-10741,-10431,-9809,-8914,
-7847,-6735,-5672,-4687,-3778,-2910,-2070,-1267,-537,97,624,1046,1380,1665,1947,2289,2738,3306,3982,4704,
5414,6093,6765,7484,8274,9100,9851,10372,10553,10381,9946,9379,8794,8214,7586,6808,5806,4579,3212,1847,
604,-466,-1394,-2283,-3236,-4309,-5461,-6596,-7585,-8356,-8899,-9286,-9622,-9982,-10359,-10659,-10752,-10536,-9989,-9180,
-8223,-7223,-6245,-5282,-4305,-3304,-2293,-1321,-443,303,904,1363,1715,1996,2251,2535,2878,3302,3790,4317,
4861,5432,6070,6821,7676,8577,9389,9991,10309,10359,10226,10012,9753,9418,8920,8168,7144,5909,4596,3331,
2201,1197,241,-765,-1883,-3106,-4352,-5505,-6463,-7215,-7801,-8331,-8879,-9470,-10055,-10513,-10724,-10632,-10248,-9667,
-8981,-8255,-7495,-6670,-5743,-4721,-3646,-2594,-1629,-799,-114,436,883,1260,1601,1948,2319,2726,3159,3606,
4083,4625,5276,6068,6965,7889,8721,9362,9785,10034,10168,10245,10230,10055,9620,8878,7865,6695,5500,4376,
3352,2377,1358,222,-1039,-2359,-3632,-4755,-5689,-6462,-7155,-7861,-8629,-9425,-10161,-10728,-11038,-11083,-10905,-10595,
-10210,-9761,-9198,-8466,-7539,-6451,-5275,-4106,-3021,-2055,-1219,-498,126,672,1158,1602,2012,2394,2759,3118,
3504,3966,4549,5263,6072,6901,7663,8304,8831,9282,9695,10057,10292,10296,9991,9375,8514,7542,6564,5635,
4724,3766,2684,1455,126,-1204,-2435,-3504,-4417,-5245,-6070,-6946,-7876,-8784,-9572,-10161,-10507,-10652,-10666,-10600,
-10473,-10238,-9823,-9176,-8301,-7252,-6127,-5007,-3951,-2978,-2095,-1293,-577,54,597,1068,1468,1821,2130,2431,
2760,3173,3700,4354,5101,5885,6645,7369,8073,8775,9476,10119,10592,10792,10671,10251,9630,8914,8173,7404,
6557,5574,4420,3121,1779,482,-689,-1729,-2677,-3612,-4592,-5636,-6687,-7660,-8475,-9097,-9544,-9876,-10154,-10406,
-10586,-10618,-10411,-9935,-9208,-8300,-7305,-6282,-5271,-4273,-3288,-2323,-1412,-572,167,803,1333,1776,2158,2500,
2853,3260,3754,4327,4959,5615,6284,6971,7698,8476,9266,9981,10515,10789,10788,10557,10180,9722,9188,8553,
7748,6746,5569,4296,3016,1818,721,-300,-1310,-2368,-3492,-4641,-5742,-6719,-7528,-8184,-8733,-9244,-9745,-10214,
-10585,-10763,-10689,-10354,-9799,-9103,-8311,-7464,-6562,-5602,-4589,-3560,-2568,-1655,-846,-156,423,898,1292,1633,
1958,2299,2688,3129,3620,4154,4740,5396,6143,6968,7824,8620,9275,9732,9989,10093,10078,9955,9686,9219,
8514,7577,6479,5312,4170,3085,2053,1008,-91,-1270,-2499,-3707,-4816,-5783,-6614,-7342,-8037,-8737,-9439,-10077,
-10579,-10871,-10926,-10761,-10431,-9976,-9425,-8755,-7950,-7003,-5947,-4843,-3749,-2722,-1791,-966,-247,368,892,1339,
1734,2110,2492,2893,3323,3796,4334,4962,5694,6510,7354,8158,8860,9437,9903,10269,10535,10655,10570,10216,
9591,8744,7766,6750,5742,4747,3727,2631,1434,165,-1110,-2318,-3401,-4357,-5222,-6055,-6892,-7749,-8575,-9297,
-9855,-10207,-10369,-10384,-10286,-10089,-9766,-9267,-8572,-7681,-6659,-5574,-4495,-3460,-2498,-1609,-807,-102,497,996,
1408,1764,2091,2410,2739,3100,3523,4039,4651,5349,6089,6832,7542,8220,8861,9462,9969,10312,10412,10232,
9791,9152,8409,7612,6775,5872,4857,3714,2460,1164,-98,-1268,-2329,-3310,-4263,-5234,-6230,-7223,-8137,-8917,
-9524,-9974,-10303,-10557,-10745,-10837,-10772,-10483,-9952,-9210,-8317,-7352,-6362,-5375,-4396,-3430,-2507,-1655,-906,-265,
268,723,1122,1485,1836,2203,2612,3087,3643,4268,4940,5643,6378,7137,7917,8678,9344,9833,10078,10063,
9833,9446,8956,8383,7695,6856,5841,4678,3433,2183,998,-99,-1132,-2151,-3200,-4292,-5396,-6444,-7375,-8157,
-8791,-9325,-9812,-10269,-10675,-10957,-11044,-10873,-10452,-9826,-9063,-8211,-7305,-6333,-5300,-4228,-3161,-2157,-1263,-498,
154,699,1168,1572,1939,2277,2620,2997,3424,3916,4468,5091,5792,6568,7397,8228,8984,9594,10016,10247,
10324,10276,10110,9790,9271,8519,7559,6446,5278,4130,3042,1997,946,-154,-1327,-2536,-3714,-4791,-5727,-6523,
-7231,-7899,-8569,-9225,-9813,-10240,-10452,-10418,-10171,-9766,-9252,-8644,-7931,-7085,-6110,-5041,-3952,-2914,-1971,-1143,
-425,204,750,1222,1626,1975,2293,2617,2965,3365,3831,4386,5043,5792,6606,7431,8201,8866,9408,9834,
10172,10397,10473,10330,9915,9232,8332,7308,6257,5229,4215,3185,2072,860,-424,-1714,-2924,-4004,-4947,-5799,
-6616,-7453,-8311,-9138,-9858,-10395,-10717,-10836,-10804,-10673,-10451,-10113,-9601,-8881,-7965,-6906,-5799,-4722,-3718,-2797,
-1948,-1166,-458,165,689,1126,1495,1820,2146,2499,2909,3399,3987,4663,5396,6148,6871,7554,8195,8806,
9377,9852,10149,10192,9937,9414,8704,7900,7073,6234,5339,4340,3202,1945,639,-626,-1783,-2803,-3731,-4629,
-5551,-6514,-7489,-8389,-9140,-9694,-10065,-10300,-10458,-10560,-10580,-10449,-10088,-9463,-8613,-7617,-6562,-5524,-4521,-3554,
-2606,-1691,-837,-81,551,1061,1473,1825,2154,2492,2872,3314,3827,4418,5060,5730,6421,7138,7892,8678,
9450,10131,10618,10835,10766,10463,10007,9471,8876,8195,7366,6357,5172,3881,2579,1355,247,-765,-1748,-2763,
-3845,-4965,-6045,-7008,-7794,-8399,-8880,-9298,-9703,-10080,-10363,-10447,-10265,-9801,-9108,-8282,-7399,-6496,-5577,-4612,
-3603,-2578,-1597,-717,23,625,1111,1524,1893,2251,2617,3013,3444,3915,4425,4975,5577,6258,7026,7860,
8690,9430,9980,10293,10377,10289,10099,9825,9443,8887,8106,7094,5909,4648,3423,2288,1243,224,-836,-1980,
-3196,-4413,-5543,-6507,-7298,-7955,-8555,-9157,-9779,-10368,-10823,-11052,-11001,-10695,-10201,-9603,-8948,-8231,-7420,-6481,
-5433,-4330,-3258,-2287,-1452,-756,-172,338,797,1223,1623,2008,2388,2781,3200,3668,4223,4893,5673,6532,
7397,8176,8804,9261,9569,9783,9919,9952,9807,9408,8722,7788,6698,5576,4505,3501,2529,1506,373,-866,
-2159,-3394,-4503,-5434,-6224,-6942,-7672,-8452,-9245,-9978,-10535,-10851,-10910,-10768,-10505,-10172,-9767,-9241,-8533,-7621,
-6539,-5379,-4233,-3185,-2255,-1440,-705,-40,570,1121,1600,2021,2391,2740,3102,3516,4026,4654,5398,6211,
7027,7782,8437,9005,9517,9996,10415,10696,10738,10475,9894,9084,8152,7211,6306,5416,4461,3386,2162,832,
-500,-1729,-2799,-3717,-4553,-5387,-6280,-7227,-8155,-8963,-9570,-9941,-10115,-10166,-10160,-10109,-9958,-9632,-9053,-8215,
-7194,-6086,-4990,-3970,-3032,-2158,-1325,-533,193,832,1367,1803,2156,2469,2782,3141,3587,4137,4783,5487,
6195,6872,7526,8171,8842,9521,10151,10618,10813,10681,10262,9647,8951,8241,7514,6715,5764,4632,3344,1989,
682,-494,-1531,-2465,-3391,-4372,-5435,-6518,-7529,-8385,-9023,-9472,-9800,-10083,-10364,-10605,-10711,-10582,-10159,-9459,
-8573,-7602,-6632,-5693,-4765,-3831,-2881,-1936,-1053,-280,363,877,1288,1639,1981,2351,2783,3290,3848,4442,
5042,5652,6296,7005,7789,8605,9369,9948,10260,10281,10065,9706,9287,8820,8266,7538,6592,5434,4142,2833,
1610,518,-473,-1441,-2466,-3584,-4766,-5922,-6951,-7790,-8436,-8955,-9429,-9924,-10423,-10857,-11111,-11086,-10767,-10189,
-9454,-8648,-7822,-6967,-6043,-5039,-3968,-2896,-1889,-1011,-285,298,773,1185,1567,1950,2349,2774,3226,3686,
4173,4707,5327,6058,6898,7786,8618,9293,9742,9983,10064,10056,9980,9800,9439,8825,7935,6832,5628,4443,
3351,2349,1377,346,-794,-2031,-3292,-4466,-5476,-6301,-6985,-7611,-8257,-8948,-9632,-10208,-10569,-10657,-10477,-10106,
-9620,-9080,-8480,-7780,-6932,-5926,-4817,-3689,-2622,-1684,-888,-214,367,882,1361,1812,2241,2647,3039,3428,
3841,4324,4918,5640,6475,7346,8167,8855,9383,9785,10102,10369,10552,10570,10334,9788,8958,7941,6866,5827,
4854,3907,2905,1778,521,-808,-2106,-3272,-4267,-5110,-5883,-6661,-7502,-8376,-9204,-9884,-10333,-10533,-10536,-10412,
-10225,-9978,-9618,-9078,-8308,-7326,-6217,-5069,-3981,-2997,-2124,-1337,-620,49,657,1202,1674,2076,2430,2754,
3105,3526,4060,4715,5464,6242,6986,7647,8238,8791,9331,9846,10266,10471,10380,9968,9296,8478,7621,6782,
5945,5049,4015,2825,1511,172,-1090,-2203,-3168,-4042,-4911,-5838,-6822,-7806,-8695,-9401,-9880,-10169,-10336,-10443,
-10513,-10504,-10325,-9900,-9206,-8288,-7241,-6156,-5113,-4138,-3213,-2326,-1480,-683,33,650,1158,1568,1902,2203,
2518,2895,3364,3932,4574,5251,5921,6573,7239,7943,8686,9416,10033,10420,10511,10307,9886,9339,8750,8123,
7409,6537,5479,4242,2920,1613,411,-657,-1635,-2593,-3596,-4673,-5784,-6843,-7756,-8481,-9022,-9441,-9806,-10161,
-10482,-10696,-10692,-10414,-9859,-9091,-8200,-7272,-6340,-5410,-4462,-3489,-2515,-1586,-741,-18,572,1044,1426,1766,
2098,2472,2901,3392,3932,4492,5067,5680,6359,7125,7956,8774,9477,9963,10191,10186,10019,9760,9427,8985,
8375,7543,6485,5279,4019,2809,1698,671,-327,-1376,-2508,-3700,-4872,-5948,-6858,-7598,-8213,-8775,-9341,-9908,
-10424,-10793,-10931,-10791,-10407,-9841,-9172,-8447,-7671,-6807,-5853,-4820,-3747,-2708,-1758,-934,-246,318,799,1217,
1613,2014,2428,2860,3308,3770,4267,4833,5505,6284,7136,7981,8725,9297,9685,9917,10043,10085,10017,9764,
9270,8513,7534,6425,5296,4214,3194,2191,1141,-6,-1238,-2497,-3695,-4762,-5672,-6455,-7177,-7899,-8648,-9385,
-10036,-10512,-10749,-10750,-10557,-10230,-9812,-9304,-8678,-7897,-6953,-5889,-4768,-3670,-2654,-1755,-977,-301,285,801,
1262,1686,2081,2454,2816,3183,3598,4100,4716,5444,6248,7056,7802,8443,8981,9451,9856,10176,10350,10288,
9942,9315,8485,7551,6594,5649,4701,3691,2578,1352,61,-1217,-2402,-3454,-4378,-5233,-6078,-6950,-7843,-8683,
-9400,-9932,-10252,-10396,-10409,-10330,-10163,-9870,-9397,-8715,-7837,-6815,-5725,-4648,-3628,-2685,-1825,-1044,-340,292,
842,1323,1737,2097,2425,2751,3115,3560,4112,4771,5492,6234,6950,7635,8292,8940,9557,10089,10443,10546,
10364,9928,9306,8597,7839,7033,6147,5131,3977,2722,1429,180,-966,-2007,-2975,-3934,-4916,-5924,-6919,-7828,
-8594,-9190,-9629,-9956,-10212,-10410,-10511,-10453,-10175,-9653,-8919,-8031,-7063,-6072,-5088,-4127,-3185,-2277,-1423,-647,
39,626,1118,1528,1883,2223,2579,2996,3492,4064,4688,5333,5997,6678,7392,8135,8872,9517,9990,10224,
10209,9982,9605,9128,8560,7879,7040,6035,4880,3647,2403,1223,118,-928,-1961,-3024,-4123,-5226,-6276,-7212,
-8004,-8659,-9217,-9714,-10183,-10584,-10872,-10969,-10837,-10463,-9887,-9162,-8346,-7466,-6530,-5552,-4540,-3526,-2551,-1648,
-851,-163,414,893,1300,1664,2020,2405,2828,3305,3823,4376,4982,5646,6387,7185,7991,8728,9324,9737,
9960,10026,9963,9773,9434,8906,8168,7237,6161,5026,3893,2800,1742,676,-428,-1580,-2758,-3904,-4965,-5905,
-6722,-7454,-8135,-8794,-9421,-9974,-10388,-10610,-10612,-10413,-10046,-9547,-8940,-8222,-7389,-6446,-5420,-4365,-3327,-2351,
-1468,-687,-13,561,1056,1486,1884,2268,2666,3079,3523,4007,4559,5192,5912,6703,7512,8276,8939,9486,
9910,10218,10410,10443,10283,9881,9248,8417,7462,6453,5429,4403,3351,2240,1061,-168,-1394,-2560,-3632,-4598,
-5484,-6325,-7155,-7972,-8739,-9413,-9933,-10281,-10450,-10472,-10365,-10142,-9779,-9253,-8553,-7690,-6710,-5666,-4613,-3598,
-2641,-1761,-965,-257,362,900,1370,1799,2195,2584,2980,3409,3898,4467,5118,5842,6586,7324,8019,8659,
9245,9756,10152,10379,10383,10139,9666,9012,8245,7410,6521,5568,4524,3388,2178,938,-276,-1423,-2485,-3479,
-4441,-5392,-6343,-7264,-8111,-8842,-9427,-9874,-10200,-10424,-10553,-10562,-10409,-10053,-9491,-8745,-7860,-6895,-5893,-4889,
-3894,-2934,-2025,-1197,-457,183,736,1214,1640,2028,2404,2794,3224,3718,4287,4921,5595,6297,7016,7739,
8458,9128,9700,10106,10297,10257,10016,9609,9081,8444,7693,6810,5790,4659,3457,2248,1074,-45,-1116,-2166,
-3223,-4286,-5339,-6334,-7229,-8002,-8656,-9214,-9700,-10123,-10466,-10667,-10692,-10498,-10091,-9500,-8772,-7944,-7045,-6085,
-5080,-4056,-3054,-2115,-1259,-509,139,702,1189,1623,2018,2400,2795,3230,3715,4258,4855,5511,6218,6976,
7754,8512,9182,9714,10070,10243,10252,10114,9834,9398,8780,7975,7010,5928,4796,3663,2555,1469,382,-736,
-1883,-3034,-4144,-5169,-6087,-6898,-7625,-8307,-8952,-9548,-10050,-10404,-10571,-10530,-10304,-9919,-9400,-8769,-8017,-7147,
-6173,-5129,-4077,-3065,-2130,-1291,-541,118,700,1208,1654,2056,2436,2827,3242,3704,4226,4820,5489,6225,
7001,7771,8484,9104,9605,9986,10248,10371,10332,10087,9614,8919,8055,7085,6069,5041,4004,2938,1811,628,
-592,-1795,-2936,-3975,-4916,-5785,-6619,-7437,-8236,-8974,-9605,-10076,-10369,-10488,-10467,-10324,-10058,-9651,-9072,-8318,
-7402,-6386,-5334,-4303,-3319,-2406,-1558,-779,-83,529,1056,1501,1896,2265,2637,3039,3496,4019,4617,5289,
6004,6733,7441,8117,8742,9310,9796,10156,10331,10270,9960,9430,8736,7940,7087,6185,5215,4155,2996,1765,
515,-697,-1830,-2871,-3848,-4793,-5739,-6686,-7600,-8430,-9127,-9665,-10055,-10324,-10499,-10580,-10538,-10325,-9902,-9257,
-8431,-7487,-6493,-5494,-4507,-3541,-2606,-1714,-896,-178,433,938,1368,1749,2114,2491,2903,3368,3892,4475,
5108,5773,6468,7181,7911,8631,9303,9853,10216,10348,10242,9936,9485,8929,8277,7518,6622,5585,4428,3199,
1976,807,-289,-1331,-2353,-3391,-4444,-5497,-6488,-7366,-8105,-8707,-9209,-9643,-10022,-10328,-10502,-10479,-10221,-9733,
-9064,-8271,-7412,-6508,-5566,-4584,-3576,-2582,-1647,-815,-102,495,998,1441,1846,2241,2640,3062,3517,4010,
4545,5132,5781,6491,7257,8046,8803,9454,9934,10212,10298,10223,10019,9697,9233,8594,7762,6749,5614,4427,
3256,2142,1070,5,-1092,-2239,-3404,-4539,-5583,-6497,-7280,-7965,-8600,-9212,-9790,-10292,-10643,-10780,-10678,-10368,
-9894,-9311,-8637,-7876,-7010,-6040,-4993,-3929,-2909,-1992,-1189,-501,91,616,1087,1520,1924,2305,2691,3093,
3534,4040,4619,5294,6054,6851,7634,8338,8915,9351,9662,9861,9948,9895,9644,9161,8442,7524,6492,5427,
4378,3351,2316,1228,64,-1160,-2389,-3552,-4600,-5517,-6336,-7102,-7862,-8620,-9347,-9968,-10415,-10651,-10680,-10536,
-10268,-9905,-9430,-8820,-8033,-7088,-6031,-4933,-3869,-2889,-2007,-1221,-509,136,713,1223,1669,2062,2423,2779,
3167,3618,4156,4793,5515,6287,7052,7768,8414,8993,9510,9958,10308,10484,10427,10102,9518,8746,7875,6969,
6054,5108,4090,2967,1741,465,-788,-1953,-2996,-3934,-4817,-5697,-6599,-7503,-8351,-9067,-9605,-9950,-10137,-10214,
-10208,-10114,-9883,-9458,-8810,-7961,-6969,-5922,-4886,-3911,-2988,-2116,-1293,-522,176,782,1286,1709,2070,2408,
2757,3160,3639,4202,4835,5511,6195,6867,7525,8181,8839,9463,9986,10331,10419,10239,9818,9235,8565,7842,
7058,6177,5163,4004,2742,1455,218,-916,-1953,-2930,-3903,-4907,-5939,-6950,-7869,-8637,-9233,-9677,-10027,-10317,
-10556,-10703,-10681,-10432,-9924,-9200,-8334,-7395,-6449,-5505,-4564,-3615,-2673,-1765,-940,-219,378,866,1274,1647,
2010,2411,2857,3361,3911,4494,5098,5730,6400,7131,7899,8659,9329,9822,10076,10092,9910,9594,9188,8694,
8073,7282,6301,5159,3933,2705,1538,464,-557,-1576,-2639,-3751,-4875,-5944,-6889,-7677,-8317,-8860,-9361,-9846,
-10285,-10619,-10752,-10642,-10271,-9704,-9000,-8227,-7403,-6532,-5591,-4585,-3544,-2523,-1584,-763,-72,500,985,1421,
1835,2252,2682,3126,3592,4079,4595,5172,5831,6580,7398,8212,8952,9535,9928,10136,10202,10167,10026,9743,
9267,8559,7632,6546,5394,4257,3182,2148,1115,27,-1138,-2352,-3545,-4645,-5604,-6421,-7136,-7809,-8481,-9151,
-9770,-10252,-10519,-10552,-10361,-10007,-9543,-9002,-8371,-7621,-6736,-5722,-4648,-3575,-2576,-1689,-926,-265,318,846,
1332,1789,2217,2620,3016,3420,3862,4383,5002,5726,6523,7327,8071,8698,9195,9587,9894,10116,10219,10130,
9796,9192,8363,7391,6370,5360,4379,3384,2324,1164,-78,-1349,-2565,-3664,-4628,-5482,-6285,-7094,-7924,-8742,
-9479,-10058,-10431,-10597,-10595,-10479,-10279,-9984,-9551,-8934,-8122,-7140,-6068,-4984,-3957,-3015,-2161,-1383,-665,2,
605,1144,1616,2024,2397,2765,3168,3649,4230,4906,5647,6401,7114,7770,8365,8926,9450,9908,10228,10325,
10148,9701,9040,8255,7424,6577,5699,4739,3660,2459,1183,-95,-1288,-2366,-3332,-4241,-5147,-6083,-7039,-7955,
-8755,-9388,-9836,-10122,-10299,-10408,-10447,-10372,-10111,-9623,-8900,-7996,-6988,-5962,-4956,-4003,-3085,-2203,-1360,-570,
140,752,1264,1692,2059,2411,2787,3223,3744,4337,4984,5651,6310,6968,7632,8321,9011,9647,10138,10401,
10397,10146,9710,9165,8553,7875,7093,6164,5075,3857,2588,1351,199,-859,-1855,-2845,-3866,-4928,-5983,-6960,
-7807,-8487,-9016,-9448,-9826,-10167,-10435,-10566,-10482,-10149,-9579,-8827,-7978,-7082,-6173,-5247,-4300,-3335,-2379,-1473,
-660,41,623,1104,1517,1898,2286,2715,3192,3713,4267,4841,5438,6075,6769,7529,8314,9049,9649,10043,
10204,10168,9979,9693,9304,8788,8103,7214,6147,4970,3758,2592,1496,452,-585,-1664,-2795,-3946,-5064,-6070,
-6939,-7664,-8293,-8871,-9434,-9967,-10418,-10704,-10768,-10587,-10194,-9641,-8991,-8266,-7475,-6598,-5635,-4608,-3563,-2560,
-1647,-857,-186,383,877,1330,1762,2195,2637,3092,3555,4041,4567,5169,5858,6629,7439,8215,8876,9380,
9716,9916,10003,9984,9830,9491,8918,8120,7144,6065,4971,3907,2873,1839,753,-404,-1615,-2824,-3962,-4980,
-5867,-6654,-7391,-8117,-8838,-9519,-10093,-10490,-10670,-10645,-10442,-10119,-9690,-9161,-8504,-7698,-6758,-5713,-4637,-3591,
-2623,-1760,-998,-330,260,803,1296,1753,2185,2591,2991,3409,3879,4435,5092,5833,6619,7389,8089,8687,
9189,9616,9962,10195,10257,10090,9665,9004,8169,7249,6298,5344,4363,3321,2190,974,-278,-1502,-2640,-3663,
-4586,-5458,-6312,-7175,-8026,-8811,-9469,-9955,-10256,-10397,-10415,-10331,-10148,-9820,-9318,-8621,-7745,-6749,-5697,-4654,
-3662,-2741,-1887,-1105,-385,271,852,1364,1816,2211,2584,2960,3386,3887,4481,5155,5868,6582,7271,7923,
8548,9142,9681,10108,10355,10354,10100,9621,8989,8263,7479,6636,5710,4668,3515,2283,1031,-174,-1294,-2328,
-3305,-4266,-5243,-6219,-7164,-8012,-8731,-9295,-9716,-10027,-10263,-10412,-10448,-10317,-9980,-9418,-8668,-7785,-6828,-5848,
-4878,-3925,-2996,-2104,-1266,-499,177,761,1253,1675,2053,2420,2816,3272,3793,4378,5007,5652,6313,6992,
7693,8406,9084,9660,10061,10236,10188,9944,9560,9063,8464,7744,6881,5868,4729,3532,2322,1166,66,-988,
-2033,-3092,-4170,-5232,-6232,-7129,-7892,-8536,-9086,-9567,-9996,-10341,-10558,-10589,-10404,-9998,-9407,-8681,-7863,-6984,
-6055,-5086,-4099,-3116,-2175,-1306,-530,137,697,1175,1591,1981,2372,2792,3250,3747,4281,4854,5470,6144,
6874,7641,8396,9066,9594,9944,10115,10129,10002,9747,9336,8745,7969,7019,5955,4828,3698,2595,1513,429,
-685,-1830,-2981,-4097,-5132,-6058,-6874,-7608,-8289,-8927,-9517,-10019,-10378,-10555,-10527,-10307,-9919,-9401,-8769,-8030,
-7189,-6251,-5248,-4222,-3214,-2272,-1417,-664,-11,551,1042,1482,1895,2301,2716,3146,3602,4104,4663,5298,
6011,6775,7541,8256,8874,9376,9751,10008,10132,10101,9877,9438,8791,7966,7020,6018,4989,3948,2880,1763,
597,-599,-1789,-2927,-3977,-4937,-5820,-6657,-7461,-8238,-8956,-9570,-10042,-10347,-10488,-10469,-10316,-10028,-9604,-9028,
-8294,-7424,-6451,-5426,-4398,-3406,-2475,-1623,-855,-176,424,950,1426,1860,2272,2670,3082,3529,4032,4613,
5273,5990,6728,7448,8122,8739,9287,9744,10080,10249,10209,9942,9463,8809,8038,7184,6269,5288,4235,3101,
1911,696,-494,-1630,-2697,-3704,-4667,-5606,-6527,-7404,-8209,-8904,-9467,-9893,-10190,-10375,-10440,-10373,-10142,-9729,
-9127,-8368,-7479,-6517,-5521,-4521,-3548,-2618,-1753,-965,-263,356,894,1370,1792,2183,2562,2960,3405,3915,
4494,5133,5808,6506,7208,7901,8572,9184,9688,10035,10182,10117,9855,9427,8864,8188,7398,6491,5467,4352,
3180,1993,826,-297,-1383,-2443,-3492,-4526,-5532,-6486,-7350,-8106,-8751,-9298,-9758,-10128,-10396,-10526,-10481,-10240,
-9809,-9204,-8465,-7626,-6717,-5757,-4770,-3784,-2829,-1939,-1126,-404,229,778,1258,1689,2084,2475,2887,3340,
3849,4410,5023,5683,6386,7119,7852,8560,9177,9665,9985,10127,10102,9919,9578,9082,8425,7609,6650,5593,
4480,3354,2232,1123,12,-1105,-2232,-3347,-4417,-5411,-6318,-7133,-7871,-8544,-9155,-9697,-10131,-10424,-10542,-10472,
-10223,-9818,-9271,-8599,-7811,-6917,-5947,-4937,-3925,-2954,-2050,-1231,-495,151,723,1218,1661,2068,2463,2877,
3318,3809,4352,4955,5619,6336,7079,7809,8486,9075,9549,9892,10099,10155,10033,9723,9212,8516,7667,6716,
5703,4659,3593,2495,1357,189,-993,-2152,-3256,-4281,-5229,-6107,-6945,-7741,-8485,-9160,-9717,-10134,-10391,-10490,
-10441,-10255,-9922,-9443,-8805,-8016,-7105,-6118,-5105,-4107,-3148,-2249,-1419,-662,6,596,1105,1550,1961,2356,
2765,3206,3692,4237,4848,5517,6227,6947,7654,8316,8925,9448,9868,10144,10233,10112,9775,9240,8555,7760,
6889,5949,4942,3862,2711,1515,315,-854,-1960,-3003,-3995,-4952,-5885,-6790,-7643,-8406,-9052,-9567,-9952,-10217,
-10370,-10407,-10298,-10017,-9545,-8886,-8081,-7170,-6206,-5225,-4248,-3289,-2366,-1496,-710,-12,587,1106,1560,1976,
2384,2803,3249,3736,4282,4877,5518,6194,6892,7593,8289,8945,9521,9967,10234,10293,10145,9815,9339,8734,
8023,7197,6253,5196,4052,2864,1680,530,-573,-1643,-2690,-3734,-4769,-5766,-6699,-7531,-8246,-8849,-9359,-9793,
-10143,-10385,-10477,-10386,-10083,-9585,-8929,-8163,-7314,-6409,-5456,-4476,-3488,-2532,-1642,-845,-155,442,962,1428,
1863,2282,2707,3150,3622,4139,4701,5314,5977,6690,7433,8166,8845,9414,9825,10061,10119,10020,9779,9398,
8860,8160,7292,6285,5186,4052,2916,1811,718,-376,-1487,-2612,-3732,-4801,-5784,-6661,-7437,-8133,-8775,-9363,
-9889,-10306,-10567,-10633,-10500,-10182,-9714,-9125,-8437,-7645,-6750,-5770,-4745,-3723,-2752,-1868,-1082,-394,217,768,
1263,1723,2152,2571,2994,3441,3932,4484,5109,5805,6551,7310,8036,8684,9214,9617,9892,10036,10048,9890,
9540,8976,8217,7309,6306,5266,4219,3166,2090,971,-199,-1392,-2558,-3661,-4669,-5580,-6415,-7203,-7968,-8699,
-9361,-9908,-10294,-10493,-10522,-10396,-10145,-9774,-9269,-8618,-7814,-6876,-5856,-4815,-3804,-2866,-2001,-1214,-498,158,
741,1263,1725,2142,2537,2940,3376,3873,4447,5096,5804,6536,7257,7935,8549,9092,9562,9934,10176,10227,
10058,9657,9045,8279,7425,6519,5576,4580,3513,2368,1156,-70,-1262,-2377,-3404,-4354,-5267,-6165,-7053,-7906,
-8679,-9322,-9805,-10134,-10330,-10411,-10390,-10247,-9949,-9457,-8773,-7922,-6963,-5958,-4962,-4004,-3084,-2207,-1379,-607,
81,682,1199,1640,2035,2424,2829,3285,3805,4385,5024,5694,6369,7039,7704,8354,8977,9530,9961,10200,
10213,9987,9564,8998,8331,7590,6764,5832,4781,3625,2407,1181,3,-1103,-2140,-3144,-4138,-5143,-6138,-7082,
-7926,-8637,-9203,-9647,-10002,-10285,-10476,-10540,-10425,-10095,-9546,-8813,-7965,-7059,-6125,-5181,-4232,-3280,-2350,-1474,
-678,8,588,1080,1508,1910,2313,2745,3218,3733,4289,4874,5490,6141,6825,7548,8281,8966,9542,9941,
10130,10108,9917,9592,9156,8600,7904,7049,6038,4908,3720,2540,1408,327,-727,-1785,-2869,-3965,-5045,-6044,
-6932,-7690,-8332,-8898,-9415,-9880,-10267,-10516,-10570,-10395,-10012,-9454,-8781,-8023,-7208,-6326,-5376,-4378,-3370,-2401,
-1511,-735,-71,501,1000,1461,1904,2344,2792,3252,3731,4233,4783,5393,6072,6818,7594,8341,8996,9502,
9840,10021,10067,9989,9782,9413,8851,8083,7139,6076,4964,3863,2787,1728,651,-471,-1641,-2816,-3950,-4993,
-5911,-6721,-7455,-8150,-8824,-9457,-10001,-10396,-10593,-10580,-10376,-10026,-9564,-9002,-8331,-7538,-6621,-5610,-4561,-3532,
-2579,-1724,-972,-309,287,834,1337,1805,2244,2663,3081,3516,3998,4561,5207,5932,6697,7448,8137,8723,
9198,9577,9862,10033,10056,9880,9472,8834,8013,7074,6092,5102,4102,3068,1972,800,-420,-1639,-2792,-3844,
-4790,-5653,-6481,-7296,-8104,-8863,-9517,-10013,-10321,-10456,-10438,-10303,-10066,-9710,-9198,-8515,-7662,-6682,-5642,-4604,
-3618,-2712,-1876,-1105,-396,258,845,1363,1824,2233,2620,3017,3457,3971,4573,5249,5970,6689,7379,8017,
8611,9163,9654,10047,10278,10286,10046,9575,8922,8159,7341,6478,5556,4549,3431,2233,990,-235,-1384,-2439,
-3416,-4348,-5280,-6216,-7138,-7989,-8727,-9304,-9723,-10004,-10190,-10284,-10282,-10134,-9805,-9260,-8520,-7632,-6666,-5681,
-4717,-3787,-2883,-2014,-1186,-422,261,849,1353,1780,2171,2553,2970,3445,3986,4586,5226,5879,6530,7179,
7845,8509,9150,9698,10086,10254,10188,9903,9461,8907,8275,7548,6704,5725,4616,3413,2186,987,-139,-1196,
-2216,-3235,-4269,-5313,-6321,-7241,-8031,-8679,-9207,-9639,-10014,-10323,-10529,-10575,-10413,-10022,-9430,-8687,-7853,-6975,
-6071,-5142,-4195,-3237,-2306,-1431,-652,20,585,1068,1501,1914,2338,2792,3288,3815,4372,4950,5560,6213,
6917,7658,8393,9055,9568,9891,10015,9960,9765,9454,9026,8452,7710,6792,5730,4583,3420,2286,1206,147,
-912,-2008,-3127,-4243,-5300,-6253,-7082,-7791,-8419,-9002,-9547,-10030,-10400,-10600,-10590,-10361,-9943,-9383,-8727,-7989,
-7175,-6279,-5308,-4290,-3280,-2317,-1448,-689,-37,531,1036,1509,1965,2418,2875,3344,3823,4333,4889,5519,
6224,6987,7755,8470,9071,9526,9832,10007,10064,9997,9774,9357,8731,7906,6934,5880,4809,3754,2707,1642,
531,-630,-1818,-2983,-4073,-5053,-5927,-6716,-7460,-8185,-8876,-9503,-10003,-10330,-10462,-10409,-10193,-9856,-9407,-8847,
-8153,-7328,-6378,-5358,-4318,-3318,-2392,-1562,-821,-164,434,980,1485,1955,2396,2816,3238,3684,4188,4773,
5439,6171,6922,7642,8294,8850,9323,9706,9994,10148,10125,9880,9396,8713,7882,6974,6028,5059,4054,2984,
1839,633,-587,-1768,-2867,-3870,-4793,-5669,-6530,-7377,-8190,-8918,-9515,-9949,-10219,-10340,-10340,-10232,-10004,-9628,
-9082,-8353,-7476,-6499,-5480,-4478,-3519,-2621,-1791,-1016,-303,346,926,1444,1904,2318,2718,3132,3599,4142,
4757,5434,6138,6835,7500,8136,8731,9288,9767,10114,10269,10199,9895,9394,8754,8019,7220,6349,5390,4327,
3172,1959,744,-425,-1525,-2553,-3535,-4505,-5471,-6422,-7322,-8125,-8795,-9327,-9727,-10026,-10233,-10340,-10319,-10128,
-9734,-9140,-8377,-7500,-6562,-5604,-4650,-3714,-2801,-1928,-1106,-356,307,883,1373,1805,2204,2606,3038,3526,
4071,4668,5291,5933,6586,7258,7936,8608,9224,9722,10039,10149,10048,9772,9353,8824,8187,7420,6521,5492,
4361,3180,1998,857,-236,-1297,-2349,-3410,-4467,-5492,-6454,-7308,-8047,-8671,-9205,-9669,-10065,-10359,-10517,-10489,
-10255,-9825,-9224,-8497,-7686,-6816,-5897,-4948,-3978,-3024,-2108,-1266,-517,132,690,1173,1611,2030,2457,2910,
3397,3919,4472,5057,5683,6363,7085,7820,8519,9127,9590,9879,10000,9966,9792,9482,9015,8382,7572,6619,
5560,4453,3337,2238,1153,61,-1053,-2182,-3307,-4385,-5385,-6284,-7089,-7813,-8475,-9088,-9640,-10085,-10391,-10517,
-10449,-10197,-9790,-9251,-8604,-7847,-6994,-6061,-5070,-4063,-3081,-2162,-1329,-591,54,622,1127,1588,2033,2472,
2916,3374,3859,4384,4966,5614,6332,7073,7805,8469,9038,9484,9807,10003,10064,9963,9679,9189,8510,7673,
6730,5727,4694,3642,2562,1444,288,-890,-2055,-3161,-4192,-5141,-6018,-6839,-7627,-8370,-9041,-9610,-10037,-10302,
-10403,-10351,-10159,-9832,-9366,-8755,-8005,-7134,-6173,-5166,-4166,-3202,-2301,-1478,-737,-76,515,1043,1526,1972,
2397,2813,3244,3712,4237,4836,5500,6209,6927,7616,8259,8833,9328,9728,9998,10098,10003,9690,9182,8513,
7726,6857,5924,4927,3863,2736,1562,370,-802,-1925,-2983,-3983,-4935,-5857,-6751,-7595,-8359,-9021,-9550,-9952,
-10218,-10362,-10383,-10266,-9989,-9540,-8921,-8151,-7273,-6318,-5337,-4357,-3407,-2507,-1666,-897,-203,413,964,1450,
1888,2303,2713,3142,3619,4160,4762,5414,6092,6780,7465,8128,8747,9303,9744,10026,10116,10001,9700,9235,
8636,7922,7105,6177,5149,4044,2885,1713,557,-565,-1652,-2707,-3741,-4752,-5730,-6647,-7483,-8218,-8847,-9373,
-9799,-10131,-10344,-10415,-10321,-10043,-9582,-8963,-8211,-7363,-6448,-5490,-4520,-3562,-2637,-1773,-978,-269,362,915,
1399,1839,2254,2669,3106,3590,4123,4704,5330,5984,6677,7378,8076,8726,9289,9722,9992,10084,10004,9765,
9371,8823,8132,7292,6337,5285,4181,3056,1927,808,-306,-1415,-2520,-3604,-4643,-5616,-6508,-7315,-8044,-8695,
-9272,-9763,-10143,-10381,-10459,-10356,-10082,-9647,-9071,-8368,-7562,-6666,-5710,-4726,-3751,-2811,-1934,-1130,-412,228,
788,1280,1727,2148,2572,3012,3486,3998,4561,5173,5838,6535,7253,7955,8597,9147,9579,9871,10018,10003,
9818,9454,8907,8198,7347,6398,5383,4325,3237,2126,994,-160,-1310,-2439,-3519,-4532,-5476,-6354,-7177,-7944,
-8649,-9266,-9774,-10152,-10377,-10447,-10368,-10137,-9758,-9229,-8558,-7756,-6857,-5891,-4905,-3927,-2988,-2103,-1287,-551,
104,677,1189,1648,2080,2507,2945,3414,3923,4485,5100,5768,6468,7177,7861,8503,9067,9537,9886,10085,
10101,9925,9554,9007,8309,7502,6607,5639,4603,3512,2367,1198,27,-1118,-2218,-3262,-4262,-5217,-6132,-7005,
-7807,-8530,-9140,-9632,-10000,-10244,-10364,-10344,-10173,-9835,-9323,-8655,-7855,-6963,-6019,-5050,-4085,-3141,-2240,-1404,
-642,28,618,1140,1607,2051,2484,2926,3392,3901,4461,5070,5719,6399,7093,7782,8440,9036,9540,9907,
10105,10112,9930,9571,9064,8422,7667,6799,5825,4762,3634,2471,1313,173,-940,-2019,-3076,-4112,-5117,-6076,
-6962,-7758,-8457,-9055,-9561,-9973,-10282,-10461,-10490,-10335,-9997,-9488,-8835,-8071,-7218,-6306,-5351,-4374,-3411,-2485,
-1628,-860,-178,418,954,1440,1898,2337,2787,3250,3746,4286,4875,5510,6187,6892,7601,8285,8899,9402,
9759,9952,9979,9843,9555,9111,8516,7766,6879,5878,4805,3694,2575,1463,355,-754,-1866,-2972,-4042,-5063,
-6003,-6855,-7625,-8317,-8948,-9507,-9972,-10319,-10507,-10522,-10355,-10023,-9547,-8946,-8229,-7408,-6499,-5524,-4525,-3540,
-2609,-1753,-983,-291,327,888,1399,1870,2315,2757,3211,3695,4224,4807,5454,6148,6869,7588,8266,8864,
9355,9722,9959,10051,9989,9751,9328,8719,7946,7046,6064,5035,3983,2907,1799,668,-488,-1648,-2770,-3832,
-4814,-5720,-6565,-7360,-8109,-8801,-9402,-9884,-10213,-10383,-10394,-10261,-9990,-9587,-9037,-8349,-7523,-6593,-5605,-4602,
-3631,-2718,-1869,-1086,-368,280,866,1388,1860,2295,2724,3167,3644,4179,4776,5428,6124,6830,7517,8168,
8759,9270,9692,9994,10143,10105,9859,9411,8789,8027,7174,6260,5287,4258,3163,2010,826,-362,-1509,-2592,
-3608,-4568,-5492,-6387,-7246,-8048,-8757,-9345,-9793,-10100,-10283,-10350,-10295,-10097,-9732,-9195,-8487,-7639,-6710,-5742,
-4773,-3831,-2919,-2050,-1230,-476,198,789,1307,1766,2196,2623,3072,3567,4111,4705,5344,6004,6676,7344,
8002,8627,9202,9680,10016,10166,10102,9840,9398,8826,8143,7370,6496,5524,4447,3305,2114,934,-209,-1299,
-2349,-3364,-4367,-5359,-6314,-7203,-7988,-8656,-9206,-9647,-9996,-10256,-10405,-10406,-10227,-9845,-9279,-8563,-7743,-6860,
-5946,-5007,-4059,-3114,-2204,-1351,-584,86,668,1175,1638,2080,2525,2994,3495,4026,4594,5192,5819,6481,
7168,7868,8548,9157,9635,9944,10067,10005,9788,9431,8947,8331,7574,6674,5645,4531,3382,2237,1122,36,
-1039,-2116,-3203,-4273,-5299,-6250,-7094,-7829,-8471,-9040,-9550,-9982,-10305,-10480,-10463,-10245,-9845,-9289,-8623,-7870,
-7039,-6141,-5185,-4195,-3213,-2278,-1427,-672,-15,567,1088,1579,2046,2513,2980,3454,3955,4488,5065,5700,
6392,7124,7853,8537,9120,9565,9863,10018,10030,9910,9638,9198,8577,7775,6829,5791,4716,3636,2563,1486,
385,-747,-1899,-3032,-4112,-5099,-5990,-6795,-7533,-8228,-8879,-9462,-9933,-10251,-10387,-10335,-10118,-9763,-9290,-8705,
-8001,-7178,-6249,-5257,-4242,-3259,-2347,-1523,-778,-115,490,1044,1559,2038,2491,2928,3369,3840,4363,4955,
5615,6330,7060,7764,8399,8948,9392,9738,9973,10077,10013,9749,9272,8601,7778,6857,5885,4893,3868,2800,
1674,499,-699,-1872,-2981,-4003,-4941,-5814,-6653,-7471,-8249,-8959,-9545,-9985,-10259,-10370,-10347,-10206,-9943,-9546,
-8991,-8273,-7414,-6452,-5451,-4462,-3515,-2631,-1807,-1043,-337,312,892,1412,1872,2300,2714,3148,3627,4176,
4790,5461,6155,6844,7503,8123,8691,9207,9640,9950,10087,10008,9709,9206,8555,7800,6977,6089,5131,4088,
2960,1770,559,-613,-1729,-2766,-3745,-4695,-5632,-6551,-7433,-8226,-8898,-9429,-9823,-10090,-10259,-10326,-10271,-10057,
-9658,-9065,-8309,-7430,-6494,-5536,-4591,-3670,-2775,-1914,-1100,-353,310,884,1383,1826,2239,2660,3111,3618,
4180,4782,5414,6059,6708,7363,8015,8659,9245,9718,10024,10122,10009,9711,9267,8705,8050,7285,6403,5392,
4279,3104,1916,758,-347,-1405,-2438,-3474,-4502,-5515,-6474,-7337,-8080,-8699,-9210,-9639,-9996,-10259,-10397,-10365,
-10126,-9691,-9081,-8340,-7520,-6649,-5746,-4820,-3872,-2932,-2030,-1193,-450,192,746,1233,1676,2110,2554,3025,
3523,4056,4611,5198,5815,6476,7172,7885,8561,9152,9593,9860,9941,9868,9654,9310,8839,8211,7421,6480,
5420,4296,3160,2050,962,-108,-1194,-2297,-3408,-4488,-5500,-6409,-7209,-7913,-8545,-9116,-9635,-10065,-10365,-10488,
-10412,-10142,-9702,-9138,-8471,-7721,-6887,-5977,-5010,-4015,-3040,-2125,-1301,-578,58,615,1128,1606,2070,2531,
2997,3467,3959,4486,5069,5711,6417,7157,7881,8541,9087,9501,9779,9931,9954,9839,9560,9086,8416,7577,
6617,5587,4538,3483,2425,1336,208,-951,-2119,-3241,-4292,-5240,-6103,-6893,-7640,-8349,-9008,-9576,-10010,-10275,
-10353,-10263,-10025,-9660,-9183,-8584,-7856,-7004,-6054,-5050,-4048,-3088,-2201,-1397,-677,-29,565,1110,1614,2081,
2524,2952,3389,3862,4391,4998,5671,6388,7107,7786,8397,8924,9367,9719,9958,10049,9954,9645,9127,8426,
7598,6698,5753,4769,3736,2643,1485,289,-903,-2052,-3122,-4114,-5035,-5918,-6774,-7605,-8379,-9053,-9594,-9984,
-10214,-10310,-10283,-10140,-9864,-9433,-8835,-8079,-7197,-6233,-5249,-4280,-3354,-2487,-1674,-921,-224,407,973,1478,
1928,2350,2765,3204,3697,4257,4882,5549,6233,6903,7552,8168,8743,9262,9684,9961,10045,9915,9577,9062,
8415,7675,6860,5963,4975,3894,2736,1545,356,-786,-1866,-2893,-3880,-4851,-5806,-6728,-7585,-8339,-8970,-9468,
-9841,-10119,-10294,-10354,-10273,-10019,-9574,-8947,-8174,-7305,-6382,-5443,-4506,-3587,-2689,-1830,-1031,-301,346,911,
1404,1851,2275,2709,3177,3694,4259,4863,5490,6134,6789,7452,8116,8748,9306,9734,9984,10037,9893,9591,
9149,8593,7916,7116,6190,5146,4023,2861,1701,576,-513,-1573,-2633,-3682,-4723,-5717,-6641,-7460,-8166,-8773,
-9290,-9732,-10087,-10333,-10428,-10343,-10062,-9602,-8985,-8254,-7445,-6575,-5663,-4720,-3768,-2832,-1943,-1124,-396,239,
794,1286,1743,2191,2649,3129,3638,4171,4735,5334,5971,6649,7354,8054,8703,9245,9643,9872,9943,9864,
9646,9283,8765,8085,7247,6284,5225,4125,3022,1927,837,-260,-1372,-2491,-3587,-4632,-5603,-6476,-7262,-7970,
-8619,-9206,-9715,-10114,-10363,-10440,-10333,-10053,-9627,-9074,-8413,-7647,-6796,-5864,-4890,-3907,-2953,-2059,-1247,-527,
113,683,1204,1695,2169,2638,3108,3592,4103,4654,5260,5925,6634,7357,8049,8670,9184,9575,9849,9987,
9984,9819,9474,8935,8224,7370,6419,5416,4380,3321,2236,1112,-37,-1197,-2335,-3418,-4425,-5356,-6218,-7030,
-7797,-8508,-9145,-9666,-10049,-10277,-10343,-10262,-10043,-9688,-9199,-8571,-7811,-6940,-5988,-5002,-4024,-3082,-2202,-1394,
-661,2,602,1154,1660,2134,2587,3035,3503,4004,4565,5185,5861,6561,7260,7916,8517,9044,9484,9815,
10010,10038,9868,9498,8948,8250,7439,6555,5604,4593,3522,2391,1229,49,-1103,-2205,-3249,-4238,-5184,-6091,
-6957,-7769,-8501,-9124,-9625,-9989,-10228,-10344,-10322,-10168,-9856,-9382,-8746,-7973,-7094,-6155,-5189,-4231,-3304,-2420,
-1596,-837,-146,478,1039,1545,2010,2447,2892,3359,3873,4445,5064,5725,6398,7072,7726,8354,8928,9421,
9790,10001,10021,9853,9501,8993,8357,7608,6762,5820,4786,3682,2531,1372,227,-886,-1966,-3013,-4027,-5018,
-5969,-6859,-7664,-8374,-8979,-9476,-9876,-10167,-10337,-10365,-10231,-9924,-9445,-8813,-8057,-7206,-6297,-5353,-4400,-3463,
-2556,-1704,-919,-205,427,993,1496,1959,2407,2857,3337,3858,4419,5021,5656,6315,6990,7668,8326,8927,
9431,9801,10006,10035,9896,9599,9151,8560,7834,6976,6010,4960,3859,2733,1606,488,-617,-1717,-2800,-3857,
-4869,-5819,-6693,-7484,-8188,-8812,-9355,-9803,-10137,-10334,-10373,-10242,-9938,-9481,-8883,-8164,-7353,-6459,-5521,-4558,
-3602,-2681,-1815,-1020,-301,336,904,1413,1887,2344,2803,3284,3792,4337,4919,5541,6207,6895,7585,8253,
8850,9349,9721,9950,10023,9942,9690,9274,8685,7954,7089,6134,5109,4043,2950,1837,712,-422,-1553,-2657,
-3715,-4713,-5647,-6513,-7315,-8052,-8717,-9300,-9770,-10110,-10307,-10349,-10237,-9972,-9559,-9003,-8316,-7515,-6626,-5683,
-4714,-3754,-2828,-1960,-1157,-432,215,792,1314,1797,2261,2717,3186,3680,4213,4788,5410,6075,6764,7454,
8111,8707,9221,9623,9897,10018,9965,9738,9327,8746,8030,7197,6277,5287,4238,3141,2009,856,-294,-1426,
-2517,-3562,-4554,-5498,-6396,-7235,-8003,-8687,-9271,-9737,-10082,-10294,-10374,-10307,-10085,-9705,-9166,-8488,-7690,-6807,
-5873,-4916,-3960,-3031,-2154,-1339,-602,58,647,1178,1664,2129,2585,3047,3536,4060,4632,5247,5902,6581,
7263,7924,8540,9086,9522,9828,9967,9928,9712,9324,8789,8112,7323,6429,5443,4384,3272,2133,989,-142,
-1251,-2333,-3381,-4396,-5372,-6291,-7139,-7906,-8580,-9157,-9638,-10007,-10261,-10380,-10343,-10136,-9764,-9232,-8568,-7793,
-6932,-6010,-5058,-4094,-3153,-2259,-1434,-685,-15,589,1130,1630,2103,2563,3024,3507,4026,4589,5196,5843,
6522,7211,7890,8526,9086,9538,9848,10001,9993,9816,9483,8990,8352,7574,6675,5683,4620,3524,2409,1291,
173,-940,-2046,-3125,-4167,-5151,-6067,-6903,-7665,-8350,-8955,-9480,-9890,-10176,-10308,-10279,-10081,-9727,-9230,-8604,
-7865,-7027,-6110,-5147,-4176,-3228,-2334,-1507,-754,-74,542,1099,1605,2076,2531,2981,3454,3959,4508,5111,
5757,6434,7127,7807,8440,8997,9450,9780,9972,10010,9884,9588,9112,8471,7688,6791,5816,4787,3720,2627,
1506,365,-780,-1910,-3002,-4038,-5004,-5906,-6753,-7538,-8263,-8912,-9460,-9885,-10168,-10299,-10282,-10121,-9815,-9365,
-8775,-8049,-7210,-6286,-5323,-4357,-3417,-2527,-1695,-929,-223,410,981,1493,1966,2413,2859,3324,3827,4380,
4984,5631,6307,6992,7655,8283,8847,9329,9708,9950,10032,9929,9636,9163,8529,7773,6917,5987,4996,3940,
2831,1683,517,-638,-1756,-2821,-3835,-4799,-5723,-6600,-7432,-8189,-8843,-9381,-9793,-10078,-10233,-10269,-10161,-9904,
-9481,-8893,-8163,-7322,-6411,-5468,-4521,-3593,-2695,-1842,-1046,-320,332,904,1415,1879,2328,2780,3252,3762,
4318,4914,5548,6202,6862,7525,8163,8761,9282,9697,9955,10036,9930,9640,9185,8597,7899,7091,6183,5180,
4098,2962,1799,646,-477,-1564,-2619,-3646,-4650,-5619,-6539,-7381,-8125,-8762,-9291,-9719,-10049,-10269,-10357,-10292,
-10045,-9620,-9032,-8314,-7504,-6633,-5723,-4787,-3849,-2924,-2044,-1228,-492,156,727,1242,1717,2181,2647,3132,
3637,4178,4753,5358,5998,6662,7342,8014,8641,9181,9592,9843,9922,9836,9591,9207,8681,8018,7219,6294,
5262,4168,3043,1921,813,-285,-1371,-2456,-3527,-4570,-5554,-6460,-7269,-7992,-8624,-9185,-9667,-10054,-10312,-10415,
-10337,-10082,-9659,-9101,-8429,-7668,-6828,-5921,-4965,-3998,-3044,-2151,-1335,-607,44,626,1160,1660,2141,2617,
3093,3583,4098,4652,5253,5901,6587,7294,7978,8605,9129,9527,9784,9904,9880,9707,9379,8878,8204,7380,
6437,5419,4361,3287,2205,1109,-8,-1142,-2270,-3368,-4407,-5364,-6235,-7032,-7774,-8456,-9079,-9612,-10018,-10274,
-10358,-10274,-10038,-9669,-9171,-8559,-7824,-6982,-6054,-5076,-4096,-3156,-2275,-1473,-742,-78,532,1089,1610,2093,
2556,3010,3479,3979,4532,5150,5818,6513,7215,7875,8474,8987,9401,9712,9898,9937,9800,9470,8947,8253,
7431,6524,5562,4557,3515,2422,1290,121,-1049,-2183,-3252,-4247,-5179,-6057,-6897,-7695,-8435,-9088,-9613,-9996,
-10232,-10319,-10278,-10107,-9809,-9361,-8758,-8011,-7144,-6202,-5234,-4276,-3357,-2487,-1674,-915,-213,425,1003,1521,
1993,2438,2881,3351,3865,4439,5064,5729,6405,7069,7711,8309,8848,9324,9701,9930,9988,9834,9490,8964,
8307,7546,6713,5797,4811,3738,2604,1430,253,-888,-1975,-3007,-3992,-4949,-5879,-6775,-7609,-8353,-8976,-9472,
-9842,-10098,-10247,-10275,-10170,-9898,-9450,-8829,-8064,-7205,-6293,-5360,-4434,-3520,-2632,-1783,-987,-261,384,959,
1461,1923,2368,2824,3310,3841,4414,5020,5649,6294,6938,7588,8224,8824,9344,9739,9966,9999,9841,9518,
9051,8470,7778,6974,6052,5024,3911,2756,1600,469,-625,-1687,-2730,-3759,-4781,-5760,-6668,-7486,-8193,-8792,
-9291,-9708,-10034,-10249,-10327,-10229,-9942,-9474,-8854,-8121,-7308,-6450,-5543,-4616,-3675,-2751,-1868,-1059,-334,306,
864,1371,1844,2312,2788,3285,3809,4357,4927,5528,6164,6830,7516,8193,8815,9331,9703,9906,9949,9836,
9584,9199,8670,7990,7158,6196,5138,4036,2926,1824,738,-346,-1445,-2542,-3629,-4673,-5640,-6517,-7292,-7985,
-8608,-9170,-9655,-10034,-10274,-10337,-10217,-9920,-9475,-8906,-8235,-7477,-6633,-5719,-4759,-3788,-2843,-1962,-1162,-451,
182,754,1286,1788,2275,2756,3237,3729,4244,4799,5400,6058,6755,7462,8138,8736,9224,9586,9818,9921,
9889,9707,9355,8815,8104,7243,6282,5264,4224,3164,2088,983,-150,-1303,-2439,-3528,-4540,-5467,-6314,-7104,
-7848,-8537,-9163,-9680,-10051,-10267,-10312,-10199,-9949,-9573,-9075,-8453,-7705,-6842,-5904,-4920,-3951,-3023,-2163,-1376,
-655,3,607,1168,1686,2172,2632,3088,3559,4069,4633,5264,5939,6636,7323,7965,8536,9029,9430,9731,
9906,9922,9748,9374,8809,8096,7266,6366,5415,4417,3361,2256,1098,-80,-1242,-2354,-3399,-4372,-5290,-6173,
-7018,-7821,-8550,-9177,-9665,-10013,-10214,-10290,-10238,-10061,-9745,-9276,-8644,-7871,-6988,-6042,-5087,-4139,-3234,-2377,
-1569,-815,-122,514,1081,1597,2066,2509,2958,3437,3966,4551,5184,5847,6515,7166,7793,8381,8923,9391,
9742,9942,9950,9759,9374,8837,8174,7420,6579,5653,4642,3549,2393,1220,58,-1063,-2131,-3149,-4139,-5104,
-6045,-6936,-7753,-8462,-9054,-9524,-9879,-10132,-10274,-10292,-10154,-9848,-9365,-8718,-7942,-7080,-6175,-5251,-4328,-3416,
-2535,-1690,-903,-192,445,1006,1504,1964,2415,2882,3378,3915,4496,5102,5728,6368,7018,7668,8305,8897,
9390,9748,9930,9925,9744,9409,8940,8352,7639,6807,5854,4802,3681,2536,1396,286,-797,-1867,-2923,-3965,
-4984,-5949,-6832,-7618,-8299,-8887,-9384,-9798,-10118,-10313,-10353,-10214,-9893,-9400,-8773,-8042,-7229,-6364,-5454,-4520,
-3578,-2660,-1791,-997,-287,341,898,1402,1885,2359,2840,3344,3869,4420,4997,5605,6250,6925,7613,8277,
8873,9355,9690,9871,9895,9779,9513,9103,8541,7821,6959,5981,4927,3841,2743,1649,555,-548,-1657,-2761,
-3838,-4855,-5794,-6644,-7412,-8107,-8736,-9297,-9767,-10114,-10310,-10335,-10184,-9875,-9424,-8854,-8175,-7400,-6538,-5611,
-4647,-3684,-2757,-1893,-1105,-401,236,805,1337,1846,2337,2819,3304,3805,4335,4903,5521,6188,6886,7579,
8230,8802,9268,9617,9840,9933,9877,9656,9253,8675,7939,7071,6121,5118,4079,3017,1924,797,-349,-1491,
-2609,-3663,-4647,-5563,-6412,-7210,-7957,-8638,-9231,-9710,-10044,-10227,-10256,-10141,-9888,-9499,-8975,-8323,-7545,-6667,
-5722,-4756,-3799,-2884,-2028,-1242,-517,142,745,1300,1817,2301,2772,3240,3730,4255,4839,5475,6147,6836,
7508,8136,8703,9192,9587,9868,10004,9974,9751,9340,8759,8043,7223,6323,5359,4336,3258,2126,969,-193,
-1325,-2412,-3440,-4418,-5351,-6242,-7088,-7869,-8564,-9150,-9609,-9942,-10143,-10217,-10161,-9961,-9609,-9100,-8439,-7660,
-6780,-5849,-4904,-3967,-3061,-2198,-1393,-641,40,664,1225,1735,2210,2667,3138,3630,4170,4758,5388,6041,
6706,7358,7988,8580,9107,9546,9857,10001,9964,9739,9349,8807,8142,7370,6502,5540,4497,3390,2250,1096,
-39,-1143,-2214,-3252,-4256,-5228,-6156,-7016,-7799,-8479,-9052,-9523,-9882,-10136,-10263,-10248,-10075,-9727,-9219,-8568,
-7801,-6954,-6049,-5123,-4189,-3274,-2391,-1556,-789,-86,540,1101,1610,2085,2555,3028,3534,4075,4655,5262,
5901,6550,7207,7864,8482,9040,9484,9795,9940,9916,9730,9387,8900,8278,7525,6650,5675,4620,3518,2399,
1278,166,-933,-2022,-3090,-4127,-5118,-6044,-6895,-7661,-8341,-8934,-9443,-9849,-10137,-10292,-10286,-10112,-9775,-9285,
-8667,-7934,-7113,-6229,-5301,-4357,-3422,-2520,-1675,-895,-196,436,1003,1517,2005,2482,2967,3468,3997,4555,
5148,5775,6431,7110,7777,8406,8960,9407,9727,9899,9918,9781,9483,9028,8414,7658,6779,5814,4782,3712,
2616,1504,382,-742,-1854,-2940,-3984,-4964,-5882,-6728,-7509,-8219,-8849,-9390,-9821,-10120,-10278,-10279,-10127,-9822,
-9371,-8786,-8085,-7280,-6395,-5464,-4514,-3571,-2672,-1821,-1040,-330,307,883,1412,1910,2391,2872,3362,3877,
4426,5015,5645,6305,6987,7653,8280,8834,9297,9645,9860,9922,9816,9542,9095,8490,7750,6899,5963,4961,
3905,2812,1689,550,-585,-1703,-2781,-3813,-4792,-5715,-6586,-7394,-8131,-8780,-9332,-9763,-10075,-10248,-10278,-10166,
-9898,-9477,-8920,-8226,-7426,-6549,-5621,-4672,-3733,-2826,-1968,-1179,-457,193,786,1327,1830,2315,2789,3271,
3781,4323,4910,5539,6194,6866,7527,8158,8729,9217,9596,9842,9927,9842,9582,9158,8586,7878,7061,6149,
5156,4096,2993,1865,725,-402,-1508,-2583,-3619,-4618,-5563,-6455,-7276,-8020,-8672,-9225,-9673,-10007,-10214,-10280,
-10195,-9952,-9552,-9004,-8326,-7544,-6682,-5762,-4822,-3882,-2968,-2106,-1302,-568,94,696,1245,1755,2235,2708,
3187,3685,4222,4802,5421,6072,6736,7400,8041,8630,9138,9537,9795,9900,9839,9613,9230,8692,8015,7215,
6304,5309,4251,3158,2043,919,-202,-1310,-2401,-3459,-4474,-5435,-6328,-7150,-7897,-8561,-9139,-9621,-9981,-10215,
-10304,-10233,-10007,-9628,-9108,-8457,-7700,-6851,-5940,-4998,-4054,-3137,-2267,-1459,-715,-41,571,1129,1642,2125,
2592,3064,3561,4095,4665,5278,5927,6593,7264,7909,8506,9020,9431,9715,9853,9835,9650,9298,8781,8116,
7321,6420,5445,4410,3336,2230,1107,-26,-1149,-2256,-3321,-4330,-5291,-6180,-7013,-7780,-8474,-9080,-9580,-9958,
-10200,-10298,-10249,-10053,-9712,-9223,-8600,-7853,-7011,-6099,-5157,-4217,-3299,-2429,-1608,-847,-156,473,1038,1554,
2038,2504,2978,3474,4003,4571,5183,5831,6493,7156,7798,8397,8927,9360,9681,9858,9869,9703,9363,8860,
8213,7441,6574,5627,4614,3544,2430,1292,148,-983,-2077,-3133,-4137,-5096,-6009,-6867,-7660,-8369,-8984,-9483,
-9864,-10118,-10248,-10239,-10087,-9778,-9311,-8695,-7954,-7120,-6226,-5297,-4368,-3449,-2566,-1724,-946,-240,397,969,
1488,1974,2447,2925,3426,3951,4519,5124,5755,6405,7062,7709,8324,8879,9346,9691,9886,9908,9754,9434,
8960,8351,7621,6786,5852,4834,3750,2628,1487,356,-754,-1840,-2893,-3916,-4905,-5846,-6725,-7524,-8230,-8839,
-9346,-9753,-10048,-10222,-10252,-10125,-9828,-9370,-8766,-8045,-7237,-6370,-5458,-4529,-3599,-2694,-1842,-1049,-336,299,
876,1403,1895,2380,2864,3364,3887,4440,5023,5641,6287,6948,7609,8248,8824,9303,9653,9853,9887,9762,
9484,9063,8494,7789,6955,6010,4982,3899,2791,1674,566,-536,-1632,-2712,-3766,-4778,-5728,-6600,-7388,-8091,
-8715,-9255,-9706,-10042,-10243,-10288,-10161,-9871,-9429,-8859,-8178,-7404,-6552,-5641,-4694,-3749,-2830,-1967,-1176,-464,
182,768,1312,1824,2317,2803,3293,3800,4336,4909,5526,6179,6858,7534,8177,8751,9226,9576,9792,9871,
9800,9575,9187,8633,7924,7081,6138,5128,4079,3002,1912,805,-319,-1445,-2555,-3619,-4621,-5553,-6409,-7199,
-7928,-8592,-9177,-9655,-10003,-10203,-10247,-10130,-9873,-9478,-8960,-8315,-7554,-6700,-5774,-4817,-3867,-2957,-2102,-1314,
-587,79,687,1253,1776,2269,2743,3217,3712,4246,4821,5449,6114,6793,7460,8087,8648,9128,9506,9769,
9900,9874,9671,9282,8722,8012,7189,6281,5319,4298,3237,2131,992,-164,-1302,-2406,-3449,-4433,-5357,-6230,
-7062,-7834,-8534,-9136,-9610,-9950,-10153,-10215,-10147,-9945,-9603,-9113,-8478,-7712,-6846,-5924,-4981,-4048,-3151,-2295,
-1492,-738,-48,585,1156,1674,2159,2622,3093,3593,4135,4725,5352,6005,6666,7310,7927,8505,9017,9445,
9752,9911,9891,9682,9296,8749,8080,7308,6449,5509,4495,3408,2273,1114,-36,-1153,-2224,-3252,-4236,-5189,
-6111,-6977,-7771,-8467,-9050,-9516,-9862,-10096,-10212,-10202,-10043,-9718,-9227,-8582,-7817,-6966,-6071,-5158,-4241,-3340,
-2464,-1631,-849,-140,494,1058,1572,2052,2527,3008,3520,4070,4650,5259,5887,6525,7167,7799,8406,8960,
9419,9736,9891,9866,9666,9310,8821,8207,7480,6638,5683,4640,3534,2396,1259,145,-944,-2009,-3057,-4082,
-5083,-6026,-6900,-7678,-8352,-8932,-9418,-9810,-10103,-10272,-10292,-10141,-9813,-9322,-8695,-7963,-7161,-6301,-5401,-4480,
-3553,-2646,-1795,-1008,-300,329,894,1416,1911,2406,2906,3423,3957,4516,5101,5708,6353,7017,7682,8314,
8879,9331,9637,9787,9784,9635,9343,8910,8329,7601,6739,5764,4716,3627,2528,1434,343,-754,-1850,-2942,
-4004,-5009,-5941,-6787,-7542,-8225,-8837,-9375,-9824,-10149,-10326,-10341,-10178,-9858,-9401,-8822,-8141,-7368,-6514,-5598,
-4647,-3694,-2778,-1922,-1142,-438,202,788,1338,1862,2370,2871,3372,3884,4424,5008,5629,6295,6980,7659,
8288,8834,9269,9588,9777,9836,9749,9505,9092,8505,7760,6893,5935,4926,3888,2826,1743,630,-502,-1637,
-2744,-3794,-4772,-5678,-6513,-7292,-8017,-8680,-9256,-9719,-10038,-10203,-10211,-10076,-9801,-9399,-8872,-8221,-7447,-6578,
-5642,-4685,-3741,-2839,-1994,-1217,-498,165,779,1349,1880,2377,2864,3341,3847,4386,4978,5619,6290,6967,
7626,8230,8766,9222,9582,9829,9939,9883,9641,9215,8618,7887,7051,6147,5184,4169,3100,1985,831,-327,
-1458,-2544,-3567,-4529,-5442,-6315,-7148,-7915,-8603,-9180,-9626,-9936,-10113,-10160,-10084,-9869,-9512,-9005,-8348,-7565,
-6690,-5762,-4826,-3905,-3017,-2167,-1370,-622,69,701,1275,1795,2283,2752,3232,3744,4298,4901,5535,6187,
6839,7473,8076,8638,9136,9549,9833,9958,9897,9649,9231,8666,7987,7212,6350,5397,4365,3262,2121,964,
-173,-1273,-2330,-3345,-4331,-5287,-6209,-7067,-7843,-8513,-9067,-9509,-9839,-10062,-10169,-10141,-9958,-9604,-9086,-8418,
-7643,-6790,-5899,-4987,-4077,-3176,-2304,-1471,-703,0,629,1189,1699,2182,2661,3154,3675,4233,4818,5429,
6055,6685,7326,7960,8561,9098,9531,9815,9936,9874,9652,9287,8788,8163,7417,6552,5579,4518,3407,2277,
1158,53,-1028,-2092,-3147,-4180,-5171,-6100,-6949,-7703,-8358,-8926,-9401,-9788,-10067,-10210,-10196,-10010,-9650,-9138,
-8501,-7764,-6956,-6094,-5184,-4262,-3337,-2439,-1594,-824,-131,488,1048,1566,2065,2556,3059,3577,4114,4672,
5259,5874,6520,7185,7844,8467,9004,9427,9704,9836,9818,9658,9352,8895,8287,7532,6648,5664,4616,3534,
2448,1352,254,-854,-1958,-3047,-4099,-5085,-5998,-6824,-7573,-8254,-8861,-9388,-9814,-10112,-10255,-10229,-10044,-9707,
-9233,-8643,-7949,-7162,-6293,-5369,-4420,-3481,-2581,-1743,-978,-286,342,917,1462,1974,2476,2972,3473,3985,
4529,5114,5742,6407,7085,7747,8355,8881,9302,9607,9787,9831,9721,9447,9000,8384,7622,6750,5797,4792,
3752,2680,1577,452,-690,-1818,-2909,-3941,-4907,-5802,-6642,-7422,-8147,-8794,-9346,-9774,-10063,-10202,-10192,-10039,
-9750,-9327,-8774,-8093,-7302,-6422,-5491,-4543,-3612,-2723,-1894,-1127,-419,230,831,1387,1903,2395,2874,3353,
3862,4406,5003,5642,6307,6976,7618,8216,8746,9193,9546,9776,9859,9769,9498,9047,8441,7703,6873,5966,
4991,3957,2868,1739,587,-556,-1674,-2741,-3758,-4724,-5643,-6518,-7341,-8092,-8750,-9297,-9715,-10011,-10173,-10207,
-10107,-9867,-9473,-8930,-8246,-7449,-6575,-5657,-4731,-3813,-2931,-2091,-1298,-565,107,722,1282,1795,2278,2750,
3240,3756,4315,4910,5545,6192,6840,7476,8082,8641,9129,9518,9769,9859,9771,9502,9078,8514,7828,7034,
6148,5175,4123,3016,1879,742,-382,-1472,-2531,-3558,-4545,-5506,-6407,-7240,-7988,-8634,-9174,-9610,-9932,-10145,
-10224,-10160,-9937,-9549,-9007,-8336,-7561,-6710,-5816,-4902,-3985,-3086,-2224,-1410,-654,32,646,1203,1717,2204,
2688,3189,3713,4269,4856,5468,6100,6742,7386,8014,8601,9109,9504,9759,9852,9782,9549,9168,8650,7997,
7218,6329,5340,4289,3188,2072,959,-148,-1241,-2321,-3373,-4393,-5362,-6267,-7093,-7832,-8485,-9051,-9525,-9891,
-10136,-10241,-10189,-9974,-9601,-9084,-8442,-7701,-6878,-6000,-5084,-4158,-3244,-2366,-1541,-784,-97,521,1084,1607,
2108,2601,3104,3624,4166,4733,5335,5962,6614,7274,7913,8510,9020,9417,9681,9801,9770,9585,9245,8752,
8108,7329,6435,5460,4425,3349,2254,1147,32,-1083,-2183,-3252,-4276,-5241,-6137,-6964,-7715,-8397,-8995,-9496,
-9889,-10149,-10259,-10220,-10027,-9684,-9203,-8594,-7878,-7069,-6192,-5268,-4333,-3411,-2527,-1699,-936,-241,387,968,
1507,2019,2519,3020,3531,4062,4624,5222,5859,6519,7183,7826,8417,8931,9344,9634,9793,9803,9650,9329,
8845,8211,7444,6576,5626,4617,3561,2466,1348,221,-902,-2005,-3072,-4085,-5045,-5951,-6794,-7574,-8278,-8895,
-9410,-9810,-10075,-10208,-10195,-10037,-9733,-9287,-8703,-7998,-7196,-6321,-5400,-4465,-3545,-2659,-1825,-1053,-340,305,
901,1455,1975,2476,2968,3471,4001,4565,5165,5802,6457,7118,7753,8347,8873,9313,9635,9822,9854,9718,
9412,8945,8337,7602,6759,5834,4832,3774,2673,1549,419,-700,-1797,-2860,-3880,-4855,-5777,-6645,-7439,-8154,
-8783,-9307,-9716,-10009,-10172,-10195,-10072,-9793,-9366,-8800,-8109,-7319,-6455,-5544,-4617,-3698,-2803,-1961,-1175,-451,
213,818,1379,1899,2399,2889,3393,3919,4478,5077,5704,6351,7004,7645,8249,8795,9254,9596,9803,9852,
9740,9463,9030,8451,7743,6923,6000,5002,3944,2849,1732,610,-507,-1602,-2680,-3713,-4704,-5639,-6515,-7315,
-8039,-8675,-9217,-9657,-9974,-10161,-10211,-10104,-9848,-9440,-8897,-8230,-7458,-6606,-5702,-4776,-3856,-2958,-2104,-1310,
-569,104,722,1285,1808,2307,2800,3299,3825,4383,4970,5594,6237,6890,7535,8149,8704,9176,9536,9763,
9840,9760,9516,9112,8554,7863,7052,6143,5158,4112,3033,1925,803,-318,-1427,-2511,-3551,-4550,-5483,-6365,
-7175,-7917,-8574,-9141,-9599,-9935,-10140,-10207,-10129,-9900,-9525,-9007,-8362,-7605,-6765,-5867,-4948,-4023,-3125,-2264,
-1454,-701,-17,610,1179,1708,2210,2705,3207,3728,4283,4868,5484,6127,6779,7424,8042,8608,9091,9476,
9730,9837,9786,9565,9183,8644,7971,7180,6294,5329,4302,3223,2113,985,-138,-1250,-2330,-3373,-4369,-5314,
-6211,-7044,-7801,-8475,-9051,-9519,-9871,-10094,-10189,-10141,-9945,-9593,-9096,-8465,-7720,-6890,-6004,-5091,-4169,-3264,
-2392,-1570,-801,-101,529,1103,1639,2145,2644,3147,3670,4219,4799,5409,6040,6686,7332,7958,8538,9043,
9452,9731,9857,9823,9622,9265,8754,8114,7353,6492,5534,4507,3424,2310,1187,68,-1035,-2113,-3162,-4174,
-5138,-6055,-6900,-7666,-8343,-8924,-9409,-9786,-10044,-10171,-10153,-9978,-9644,-9160,-8543,-7820,-7014,-6146,-5238,-4320,
-3404,-2516,-1683,-914,-210,424,1006,1545,2059,2564,3068,3586,4123,4688,5286,5911,6554,7207,7846,8439,
8961,9379,9670,9814,9800,9635,9313,8842,8234,7488,6630,5673,4644,3570,2470,1362,254,-851,-1940,-3010,
-4044,-5025,-5944,-6787,-7554,-8239,-8841,-9355,-9765,-10056,-10203,-10200,-10035,-9717,-9261,-8676,-7986,-7200,-6340,-5432,
-4501,-3575,-2682,-1848,-1075,-368,275,871,1424,1951,2459,2961,3467,3991,4548,5141,5767,6421,7082,7728,
8325,8849,9273,9580,9750,9780,9659,9376,8934,8337,7596,6743,5800,4790,3742,2663,1564,448,-673,-1784,
-2867,-3903,-4879,-5791,-6630,-7412,-8122,-8759,-9299,-9731,-10031,-10181,-10188,-10045,-9760,-9341,-8789,-8120,-7341,-6478,
-5564,-4629,-3704,-2819,-1983,-1204,-487,179,792,1357,1884,2386,2880,3379,3896,4454,5049,5679,6331,6991,
7629,8220,8745,9187,9523,9740,9808,9718,9454,9020,8425,7702,6870,5960,4981,3952,2877,1763,627,-508,
-1624,-2700,-3725,-4693,-5610,-6475,-7287,-8029,-8685,-9242,-9672,-9973,-10139,-10171,-10071,-9831,-9447,-8919,-8254,-7480,
-6620,-5711,-4790,-3882,-2998,-2158,-1362,-625,57,683,1253,1771,2268,2756,3252,3775,4338,4933,5561,6204,
6848,7476,8071,8617,9091,9468,9716,9807,9726,9472,9052,8486,7799,7010,6131,5170,4132,3042,1912,772,
-355,-1453,-2513,-3535,-4516,-5459,-6356,-7190,-7945,-8601,-9147,-9579,-9900,-10102,-10181,-10123,-9914,-9539,-9014,-8352,
-7584,-6741,-5857,-4952,-4046,-3155,-2291,-1471,-712,-20,605,1174,1694,2193,2689,3198,3728,4290,4879,5488,
6114,6748,7382,8000,8575,9077,9477,9733,9828,9756,9522,9141,8625,7982,7221,6348,5378,4329,3231,2112,
992,-112,-1198,-2261,-3303,-4319,-5292,-6203,-7035,-7781,-8427,-8983,-9443,-9804,-10055,-10170,-10130,-9924,-9555,-9038,
-8400,-7664,-6857,-5996,-5096,-4177,-3267,-2382,-1552,-792,-105,518,1085,1619,2136,2641,3156,3681,4224,4791,
5385,6004,6646,7300,7938,8532,9040,9431,9688,9797,9758,9572,9244,8766,8141,7382,6499,5518,4476,3402,
2311,1216,118,-984,-2079,-3152,-4187,-5165,-6063,-6885,-7624,-8293,-8885,-9391,-9793,-10066,-10186,-10150,-9949,-9601,
-9124,-8529,-7833,-7045,-6185,-5270,-4334,-3410,-2524,-1701,-939,-247,387,974,1529,2058,2574,3080,3590,4116,
4674,5269,5901,6559,7226,7865,8452,8952,9349,9625,9774,9788,9649,9351,8887,8263,7492,6618,5664,4660,
3614,2543,1448,329,-799,-1915,-2995,-4019,-4977,-5866,-6691,-7462,-8169,-8795,-9331,-9739,-10009,-10131,-10104,-9935,
-9636,-9206,-8649,-7964,-7177,-6304,-5384,-4443,-3530,-2655,-1831,-1063,-349,305,920,1486,2018,2521,3019,3515,
4041,4602,5206,5847,6505,7160,7788,8362,8864,9283,9604,9798,9849,9734,9439,8969,8349,7601,6761,5849,
4875,3841,2761,1636,494,-648,-1754,-2817,-3821,-4776,-5686,-6543,-7354,-8089,-8736,-9266,-9670,-9942,-10085,-10103,
-9989,-9735,-9337,-8790,-8106,-7313,-6445,-5535,-4619,-3720,-2849,-2016,-1227,-490,188,813,1378,1903,2397,2888,
3395,3929,4498,5108,5741,6383,7019,7634,8217,8755,9210,9570,9793,9852,9734,9444,8992,8410,7712,6915,
6029,5055,4006,2899,1764,625,-496,-1581,-2626,-3638,-4620,-5564,-6456,-7285,-8021,-8655,-9178,-9590,-9895,-10086,
-10152,-10076,-9843,-9447,-8899,-8217,-7441,-6601,-5720,-4819,-3918,-3031,-2169,-1356,-602,85,704,1265,1792,2294,
2795,3314,3855,4427,5020,5631,6255,6888,7513,8124,8689,9172,9541,9765,9825,9719,9458,9057,8523,7865,
7084,6192,5200,4138,3033,1919,808,-286,-1368,-2434,-3476,-4492,-5458,-6356,-7172,-7895,-8525,-9069,-9520,-9872,
-10107,-10200,-10134,-9904,-9512,-8980,-8335,-7595,-6787,-5924,-5020,-4104,-3191,-2318,-1496,-744,-59,559,1128,1662,
2182,2696,3217,3751,4304,4874,5470,6094,6736,7390,8016,8591,9076,9437,9664,9746,9682,9477,9122,8618,
7974,7183,6281,5294,4248,3178,2091,996,-102,-1206,-2303,-3372,-4395,-5354,-6238,-7042,-7773,-8434,-9017,-9508,
-9889,-10134,-10233,-10169,-9949,-9584,-9094,-8487,-7782,-6983,-6113,-5198,-4264,-3345,-2470,-1651,-900,-212,421,1006,
1563,2095,2611,3126,3642,4179,4744,5343,5982,6644,7302,7930,8497,8975,9349,9605,9732,9723,9558,9228,
8732,8079,7298,6414,5455,4447,3403,2324,1221,97,-1035,-2144,-3209,-4217,-5160,-6042,-6860,-7628,-8326,-8940,
-9448,-9832,-10075,-10176,-10131,-9950,-9635,-9185,-8606,-7909,-7106,-6229,-5308,-4377,-3467,-2602,-1785,-1025,-318,336,
943,1510,2040,2549,3045,3552,4088,4659,5270,5913,6571,7216,7832,8389,8879,9288,9584,9758,9777,9623,
9295,8803,8168,7416,6569,5648,4663,3616,2523,1394,254,-873,-1967,-3020,-4016,-4969,-5874,-6732,-7527,-8244,
-8864,-9371,-9752,-10012,-10141,-10142,-10006,-9725,-9300,-8730,-8030,-7227,-6359,-5455,-4543,-3643,-2776,-1946,-1165,-436,
236,849,1414,1938,2440,2937,3449,3991,4569,5178,5810,6452,7086,7697,8271,8797,9236,9570,9758,9784,
9640,9329,8866,8272,7560,6748,5839,4849,3792,2687,1558,431,-679,-1759,-2808,-3823,-4801,-5738,-6617,-7417,
-8133,-8748,-9256,-9662,-9952,-10126,-10165,-10056,-9790,-9369,-8804,-8120,-7339,-6491,-5606,-4702,-3799,-2914,-2061,-1261,
-518,158,773,1334,1861,2368,2876,3396,3940,4511,5108,5722,6352,6983,7613,8213,8759,9217,9561,9752,
9791,9670,9395,8977,8422,7738,6935,6021,5024,3966,2870,1759,651,-450,-1534,-2602,-3642,-4645,-5590,-6467,
-7268,-7977,-8604,-9140,-9578,-9908,-10109,-10171,-10076,-9819,-9415,-8873,-8218,-7467,-6643,-5768,-4860,-3947,-3047,-2183,
-1379,-632,45,662,1231,1766,2285,2804,3324,3863,4417,4999,5602,6236,6880,7521,8134,8689,9149,9492,
9706,9772,9688,9459,9074,8542,7864,7061,6153,5166,4126,3057,1963,860,-247,-1354,-2443,-3494,-4499,-5439,
-6313,-7116,-7843,-8499,-9066,-9534,-9882,-10099,-10169,-10087,-9856,-9480,-8975,-8353,-7627,-6812,-5936,-5023,-4102,-3196,
-2331,-1520,-771,-87,546,1129,1684,2213,2731,3247,3772,4320,4899,5509,6144,6797,7441,8056,8604,9070,
9433,9674,9777,9734,9530,9164,8642,7975,7189,6302,5342,4323,3266,2171,1059,-66,-1180,-2272,-3321,-4318,
-5258,-6140,-6964,-7719,-8395,-8983,-9466,-9821,-10049,-10138,-10085,-9889,-9550,-9073,-8472,-7755,-6945,-6071,-5160,-4240,
-3336,-2472,-1658,-898,-199,450,1051,1607,2138,2651,3160,3680,4225,4803,5415,6051,6701,7338,7945,8501,
8985,9375,9644,9780,9758,9571,9222,8716,8073,7314,6455,5513,4508,3447,2348,1226,102,-1008,-2095,-3141,
-4146,-5103,-6002,-6845,-7617,-8306,-8903,-9391,-9763,-10015,-10134,-10112,-9948,-9637,-9179,-8590,-7884,-7089,-6224,-5321,
-4411,-3511,-2641,-1815,-1043,-329,330,937,1500,2031,2541,3050,3569,4113,4692,5299,5926,6570,7206,7819,
8387,8890,9302,9596,9751,9749,9585,9262,8789,8176,7442,6601,5672,4666,3607,2513,1397,278,-830,-1914,
-2971,-3988,-4960,-5877,-6728,-7510,-8206,-8814,-9319,-9718,-9993,-10140,-10146,-10004,-9712,-9273,-8703,-8018,-7235,-6384,
-5491,-4581,-3680,-2801,-1963,-1180,-453,216,828,1397,1927,2440,2949,3473,4015,4589,5189,5811,6445,7082,
7704,8285,8800,9228,9540,9713,9734,9599,9307,8862,8275,7560,6734,5813,4818,3767,2679,1576,460,-652,
-1744,-2810,-3837,-4817,-5737,-6594,-7385,-8097,-8718,-9246,-9661,-9960,-10127,-10154,-10033,-9764,-9351,-8801,-8138,-7369,
-6531,-5644,-4735,-3832,-2944,-2097,-1303,-564,111,730,1305,1838,2352,2866,3386,3928,4491,5085,5702,6336,
6976,7601,8193,8722,9163,9497,9696,9745,9641,9379,8957,8393,7697,6888,5988,5006,3970,2892,1787,668,
-445,-1543,-2611,-3640,-4625,-5556,-6426,-7231,-7956,-8595,-9138,-9571,-9885,-10072,-10128,-10031,-9790,-9400,-8874,-8222,
-7472,-6642,-5766,-4863,-3954,-3064,-2207,-1404,-657,28,653,1229,1772,2294,2810,3331,3865,4424,5013,5623,
6256,6891,7524,8124,8670,9126,9480,9703,9778,9696,9454,9061,8523,7853,7068,6180,5211,4175,3098,1993,
879,-234,-1330,-2400,-3435,-4435,-5381,-6270,-7080,-7819,-8465,-9020,-9476,-9815,-10035,-10113,-10041,-9823,-9452,-8948,
-8316,-7585,-6777,-5908,-5006,-4095,-3197,-2333,-1519,-768,-80,555,1142,1694,2223,2741,3258,3790,4341,4919,
5525,6154,6795,7431,8039,8594,9065,9433,9673,9769,9712,9504,9141,8632,7987,7212,6332,5371,4347,3277,
2182,1076,-32,-1132,-2215,-3266,-4272,-5233,-6123,-6941,-7685,-8348,-8923,-9402,-9766,-10004,-10102,-10055,-9852,-9505,
-9026,-8422,-7714,-6917,-6054,-5151,-4232,-3330,-2464,-1644,-885,-187,459,1061,1624,2156,2675,3188,3713,4259,
4833,5437,6068,6715,7355,7970,8528,9013,9390,9654,9778,9759,9581,9249,8762,8130,7367,6502,5554,4545,
3493,2407,1304,190,-925,-2018,-3078,-4086,-5045,-5938,-6764,-7528,-8214,-8816,-9318,-9701,-9955,-10069,-10038,-9863,
-9549,-9104,-8525,-7835,-7046,-6184,-5285,-4367,-3469,-2603,-1779,-1010,-296,362,974,1545,2080,2593,3104,3621,
4163,4737,5344,5977,6618,7256,7864,8425,8915,9316,9602,9765,9774,9622,9304,8829,8210,7466,6621,5697,
4710,3665,2580,1465,336,-783,-1881,-2935,-3941,-4901,-5808,-6658,-7444,-8157,-8775,-9286,-9677,-9942,-10079,-10079,
-9944,-9665,-9244,-8686,-8002,-7218,-6367,-5475,-4569,-3675,-2809,-1977,-1192,-460,212,832,1400,1932,2443,2952,
3476,4023,4597,5200,5824,6459,7087,7694,8264,8777,9206,9522,9708,9735,9601,9297,8840,8250,7540,6730,
5829,4847,3803,2708,1590,464,-648,-1734,-2782,-3793,-4770,-5700,-6572,-7374,-8091,-8712,-9227,-9628,-9919,-10093,
-10132,-10029,-9769,-9362,-8810,-8137,-7369,-6537,-5662,-4769,-3869,-2989,-2141,-1336,-595,86,708,1279,1817,2335,
2852,3381,3931,4501,5096,5709,6330,6963,7580,8170,8707,9159,9492,9685,9730,9610,9336,8923,8373,7696,
6903,6003,5018,3969,2873,1766,656,-443,-1524,-2585,-3622,-4619,-5569,-6450,-7250,-7964,-8590,-9121,-9557,-9883,
-10090,-10158,-10068,-9820,-9420,-8887,-8244,-7504,-6690,-5829,-4934,-4022,-3126,-2264,-1455,-711,-27,593,1173,1724,
2254,2779,3307,3847,4405,4981,5587,6211,6854,7487,8090,8635,9092,9430,9635,9699,9615,9385,9011,8486,
7824,7031,6128,5148,4109,3038,1953,855,-246,-1344,-2430,-3485,-4493,-5438,-6315,-7112,-7836,-8484,-9049,-9521,
-9876,-10097,-10172,-10091,-9858,-9487,-8991,-8378,-7666,-6864,-5995,-5090,-4172,-3267,-2408,-1603,-851,-165,472,1068,
1632,2172,2698,3216,3746,4291,4866,5471,6108,6761,7402,8006,8550,9006,9358,9592,9695,9657,9466,9112,
8600,7941,7156,6271,5313,4304,3258,2180,1076,-43,-1161,-2257,-3314,-4314,-5248,-6127,-6936,-7687,-8367,-8963,
-9453,-9815,-10037,-10122,-10060,-9863,-9532,-9069,-8485,-7782,-6981,-6105,-5198,-4280,-3386,-2532,-1720,-963,-253,405,
1017,1589,2127,2644,3154,3675,4223,4803,5418,6057,6705,7339,7936,8477,8946,9329,9600,9742,9736,9563,
9215,8709,8065,7305,6453,5528,4539,3494,2400,1276,145,-976,-2062,-3103,-4097,-5040,-5935,-6781,-7562,-8264,
-8863,-9351,-9714,-9955,-10065,-10047,-9896,-9598,-9160,-8581,-7878,-7076,-6215,-5324,-4420,-3538,-2676,-1855,-1075,-345,
325,943,1508,2036,2552,3061,3588,4141,4725,5337,5965,6598,7216,7814,8369,8870,9287,9587,9748,9747,
9578,9249,8768,8162,7442,6624,5713,4719,3664,2561,1433,310,-795,-1867,-2908,-3914,-4885,-5809,-6676,-7470,
-8168,-8766,-9259,-9641,-9914,-10067,-10092,-9969,-9686,-9254,-8679,-7991,-7214,-6372,-5500,-4611,-3718,-2843,-1997,-1203,
-464,208,827,1391,1929,2448,2969,3503,4063,4640,5239,5851,6473,7096,7711,8293,8817,9251,9563,9725,
9739,9590,9295,8861,8293,7602,6792,5876,4874,3813,2720,1614,511,-582,-1657,-2720,-3752,-4748,-5688,-6557,
-7341,-8034,-8643,-9158,-9582,-9893,-10078,-10122,-10007,-9735,-9314,-8765,-8104,-7359,-6545,-5679,-4783,-3874,-2980,-2122,
-1323,-584,89,711,1287,1835,2369,2902,3437,3982,4547,5128,5734,6359,6997,7629,8225,8754,9189,9501,
9678,9712,9607,9358,8960,8414,7729,6914,5998,5006,3964,2894,1809,714,-388,-1490,-2572,-3623,-4621,-5553,
-6413,-7198,-7907,-8544,-9097,-9554,-9891,-10090,-10137,-10035,-9781,-9393,-8884,-8263,-7541,-6734,-5863,-4955,-4038,-3143,
-2289,-1488,-751,-67,568,1164,1728,2273,2802,3329,3863,4416,4996,5613,6241,6894,7526,8122,8646,9081,
9408,9620,9698,9633,9413,9033,8492,7807,7006,6110,5146,4134,3083,2000,890,-233,-1348,-2435,-3482,-4465,
-5389,-6257,-7061,-7804,-8477,-9051,-9518,-9862,-10063,-10123,-10046,-9839,-9493,-9017,-8412,-7698,-6889,-6013,-5106,-4197,
-3307,-2456,-1650,-895,-191,468,1079,1653,2197,2720,3239,3769,4329,4919,5539,6183,6828,7450,8038,8566,
9019,9379,9627,9739,9696,9487,9111,8580,7917,7145,6284,5348,4349,3293,2196,1071,-57,-1168,-2244,-3276,
-4260,-5200,-6089,-6923,-7694,-8375,-8956,-9424,-9771,-9991,-10091,-10054,-9884,-9568,-9110,-8517,-7802,-6998,-6136,-5244,
-4346,-3464,-2604,-1785,-1009,-287,382,999,1571,2110,2632,3152,3691,4252,4846,5463,6091,6721,7339,7924,
8471,8952,9340,9614,9740,9707,9509,9153,8655,8028,7293,6456,5527,4522,3457,2353,1233,118,-979,-2045,
-3081,-4088,-5050,-5963,-6816,-7589,-8270,-8854,-9331,-9703,-9963,-10097,-10099,-9948,-9649,-9193,-8613,-7915,-7135,-6295,
-5420,-4526,-3634,-2763,-1924,-1133,-404,269,884,1458,1997,2523,3055,3599,4163,4745,5346,5964,6586,7209,
7819,8386,8889,9293,9576,9711,9694,9523,9209,8752,8162,7446,6618,5688,4682,3619,2530,1428,328,-765,
-1841,-2898,-3924,-4904,-5827,-6678,-7446,-8134,-8729,-9236,-9641,-9930,-10091,-10106,-9968,-9678,-9241,-8680,-8013,-7257,
-6433,-5560,-4660,-3758,-2869,-2021,-1231,-498,175,794,1375,1926,2463,2995,3536,4091,4660,5248,5861,6489,
7123,7743,8322,8830,9240,9532,9690,9707,9576,9300,8873,8301,7593,6769,5848,4854,3813,2744,1656,551,
-551,-1646,-2716,-3751,-4735,-5651,-6502,-7278,-7983,-8610,-9142,-9573,-9881,-10053,-10079,-9957,-9688,-9286,-8757,-8114,
-7379,-6560,-5684,-4781,-3872,-2986,-2139,-1345,-611,67,698,1287,1848,2387,2919,3448,3988,4548,5136,5750,
6387,7026,7646,8226,8736,9157,9472,9663,9719,9625,9376,8968,8410,7712,6907,6015,5044,4023,2962,1870,
760,-358,-1464,-2536,-3570,-4547,-5471,-6331,-7133,-7860,-8510,-9059,-9502,-9817,-10002,-10047,-9952,-9716,-9345,-8841,
-8215,-7483,-6668,-5795,-4892,-3989,-3107,-2261,-1463,-719,-24,619,1220,1783,2318,2845,3363,3899,4458,5046,
5662,6295,6930,7547,8125,8648,9091,9432,9658,9741,9673,9440,9050,8514,7847,7065,6192,5242,4228,3162,
2064,945,-172,-1276,-2347,-3376,-4363,-5301,-6181,-7002,-7747,-8408,-8970,-9417,-9751,-9956,-10031,-9966,-9763,-9415,
-8926,-8313,-7592,-6787,-5923,-5032,-4135,-3257,-2404,-1599,-841,-136,516,1120,1679,2214,2733,3253,3787,4343,
4929,5542,6168,6795,7409,7994,8532,8998,9363,9610,9714,9661,9453,9085,8580,7940,7184,6329,5387,4376,
3312,2215,1104,-9,-1107,-2179,-3219,-4219,-5172,-6070,-6902,-7653,-8324,-8894,-9362,-9720,-9952,-10059,-10023,-9840,
-9511,-9041,-8443,-7740,-6952,-6104,-5223,-4327,-3441,-2582,-1760,-993,-278,380,987,1551,2087,2609,3134,3668,
4227,4807,5409,6028,6659,7277,7873,8427,8907,9292,9554,9676,9651,9472,9137,8662,8045,7306,6463,5530,
4527,3473,2384,1279,172,-928,-2010,-3060,-4076,-5035,-5940,-6778,-7540,-8220,-8811,-9300,-9681,-9941,-10067,-10051,
-9888,-9581,-9130,-8556,-7873,-7102,-6264,-5387,-4491,-3599,-2733,-1904,-1124,-401,262,874,1450,1993,2523,3047,
3584,4137,4710,5309,5924,6553,7178,7782,8344,8835,9233,9514,9660,9662,9508,9204,8746,8153,7431,6599,
5678,4691,3642,2565,1463,352,-751,-1838,-2896,-3914,-4884,-5795,-6644,-7419,-8117,-8725,-9231,-9630,-9915,-10060,
-10069,-9933,-9648,-9228,-8677,-8014,-7255,-6430,-5557,-4663,-3768,-2892,-2054,-1267,-536,138,760,1340,1894,2430,
2958,3495,4046,4612,5208,5821,6451,7080,7690,8259,8759,9175,9472,9640,9664,9539,9259,8825,8254,7553,
6738,5833,4852,3816,2740,1638,532,-572,-1662,-2725,-3751,-4727,-5651,-6510,-7299,-8008,-8629,-9159,-9579,-9879,
-10054,-10087,-9975,-9718,-9317,-8789,-8147,-7407,-6593,-5729,-4833,-3935,-3052,-2206,-1412,-672,12,647,1241,1804,
2348,2881,3413,3958,4528,5115,5730,6362,6993,7607,8181,8695,9124,9440,9625,9675,9572,9315,8912,8358,
7678,6882,5987,5017,3988,2920,1826,719,-386,-1478,-2551,-3584,-4570,-5501,-6370,-7166,-7889,-8527,-9074,-9515,
-9838,-10032,-10089,-10000,-9765,-9391,-8890,-8270,-7544,-6739,-5876,-4980,-4080,-3193,-2344,-1542,-790,-96,554,1156,
1727,2275,2806,3337,3880,4443,5032,5645,6278,6912,7528,8109,8631,9068,9402,9616,9689,9618,9390,9004,
8474,7810,7027,6150,5192,4178,3122,2032,925,-180,-1285,-2361,-3400,-4390,-5325,-6199,-7013,-7750,-8411,-8973,
-9439,-9777,-9988,-10065,-10001,-9796,-9453,-8974,-8372,-7662,-6868,-6005,-5115,-4217,-3334,-2478,-1669,-905,-193,465,
1080,1656,2200,2730,3258,3797,4362,4952,5567,6196,6827,7445,8027,8557,9012,9372,9610,9714,9663,9455,
9091,8580,7931,7172,6314,5376,4371,3317,2226,1114,-2,-1104,-2180,-3221,-4214,-5160,-6056,-6884,-7644,-8317,
-8898,-9375,-9727,-9962,-10064,-10032,-9859,-9543,-9084,-8496,-7796,-7010,-6160,-5280,-4385,-3500,-2641,-1818,-1039,-316,
349,967,1540,2085,2618,3148,3689,4255,4841,5449,6070,6695,7310,7900,8446,8926,9307,9571,9690,9661,
9473,9132,8645,8029,7295,6456,5529,4528,3471,2382,1269,160,-935,-2010,-3055,-4063,-5025,-5932,-6778,-7545,
-8228,-8817,-9301,-9678,-9938,-10073,-10068,-9919,-9617,-9172,-8599,-7914,-7145,-6312,-5438,-4546,-3654,-2781,-1942,-1158,
-427,242,862,1439,1992,2527,3062,3605,4164,4742,5342,5956,6580,7204,7810,8372,8865,9265,9546,9686,
9676,9518,9210,8758,8169,7456,6632,5710,4712,3663,2578,1479,374,-719,-1802,-2856,-3883,-4856,-5775,-6628,
-7399,-8090,-8692,-9199,-9608,-9897,-10056,-10071,-9937,-9652,-9228,-8674,-8017,-7269,-6449,-5580,-4683,-3782,-2901,-2058,
-1268,-536,137,764,1352,1908,2453,2988,3528,4076,4644,5234,5850,6477,7108,7724,8296,8796,9208,9500,
9664,9685,9560,9284,8862,8289,7589,6771,5857,4870,3834,2761,1670,567,-536,-1628,-2700,-3734,-4718,-5638,
-6490,-7275,-7982,-8608,-9144,-9576,-9883,-10059,-10086,-9971,-9713,-9315,-8796,-8161,-7428,-6614,-5741,-4839,-3935,-3050,
-2208,-1414,-678,7,646,1247,1811,2358,2891,3419,3960,4524,5114,5733,6367,7003,7619,8196,8702,9120,
9437,9632,9688,9598,9350,8945,8392,7702,6901,6006,5042,4025,2965,1875,767,-348,-1452,-2526,-3556,-4537,
-5457,-6321,-7120,-7855,-8503,-9056,-9500,-9821,-10008,-10056,-9969,-9742,-9380,-8883,-8264,-7539,-6725,-5854,-4958,-4056,
-3178,-2335,-1530,-776,-77,575,1185,1754,2294,2819,3345,3886,4452,5046,5668,6300,6932,7543,8120,8636,
9078,9425,9649,9733,9666,9432,9043,8507,7838,7062,6194,5249,4236,3176,2078,959,-157,-1260,-2331,-3360,
-4347,-5284,-6168,-6990,-7743,-8406,-8967,-9423,-9757,-9969,-10053,-9999,-9806,-9470,-8990,-8383,-7664,-6865,-6005,-5120,
-4229,-3352,-2496,-1682,-912,-198,461,1071,1639,2176,2704,3233,3778,4345,4937,5550,6172,6792,7405,7990,
8527,8993,9360,9606,9707,9652,9440,9071,8562,7928,7178,6328,5393,4377,3311,2213,1097,-12,-1105,-2174,
-3210,-4212,-5170,-6071,-6907,-7666,-8333,-8900,-9368,-9727,-9972,-10085,-10062,-9892,-9568,-9103,-8507,-7805,-7021,-6182,
-5307,-4417,-3527,-2660,-1827,-1047,-326,335,946,1518,2063,2598,3134,3683,4247,4829,5429,6047,6671,7291,
7890,8446,8931,9314,9575,9691,9657,9473,9140,8671,8063,7334,6492,5556,4551,3488,2399,1300,200,-889,
-1967,-3018,-4036,-5008,-5918,-6755,-7513,-8190,-8775,-9271,-9661,-9930,-10072,-10065,-9907,-9599,-9153,-8582,-7909,-7146,
-6321,-5447,-4547,-3646,-2771,-1933,-1150,-424,239,856,1439,1997,2535,3071,3611,4170,4740,5334,5949,6580,
7211,7823,8390,8880,9270,9540,9680,9680,9530,9232,8787,8199,7477,6639,5713,4718,3671,2599,1508,406,
-695,-1790,-2857,-3883,-4859,-5767,-6607,-7378,-8071,-8687,-9208,-9621,-9911,-10064,-10072,-9933,-9651,-9233,-8696,-8047,
-7299,-6477,-5599,-4695,-3791,-2914,-2075,-1292,-561,115,747,1344,1907,2447,2978,3512,4055,4620,5214,5836,
6472,7106,7718,8285,8780,9184,9479,9651,9684,9571,9300,8871,8294,7585,6766,5861,4886,3863,2797,1702,
592,-520,-1624,-2691,-3716,-4686,-5597,-6453,-7240,-7960,-8595,-9136,-9562,-9861,-10030,-10059,-9946,-9698,-9315,-8802,
-8169,-7427,-6605,-5730,-4828,-3929,-3054,-2218,-1426,-681,12,657,1258,1823,2361,2886,3413,3954,4523,5118,
5741,6374,7008,7614,8182,8688,9118,9442,9646,9710,9619,9362,8949,8389,7704,6912,6032,5075,4056,2991,
1889,772,-343,-1442,-2509,-3530,-4507,-5434,-6309,-7121,-7861,-8509,-9057,-9494,-9807,-9998,-10059,-9981,-9770,-9407,
-8910,-8286,-7551,-6738,-5875,-4987,-4092,-3218,-2371,-1562,-804,-97,552,1156,1718,2256,2777,3306,3851,4422,
5017,5630,6255,6882,7490,8064,8593,9042,9396,9624,9706,9627,9391,9002,8472,7820,7052,6190,5242,4224,
3154,2050,933,-171,-1263,-2328,-3355,-4348,-5294,-6189,-7013,-7759,-8411,-8967,-9415,-9755,-9977,-10069,-10023,-9827,
-9482,-8996,-8381,-7666,-6873,-6022,-5145,-4252,-3366,-2506,-1684,-912,-200,453,1054,1619,2158,2691,3222,3770,
4336,4922,5528,6145,6766,7384,7976,8524,8995,9364,9604,9702,9645,9437,9084,8589,7964,7221,6363,5418,
4400,3339,2243,1140,40,-1050,-2123,-3168,-4180,-5140,-6041,-6870,-7618,-8279,-8854,-9329,-9701,-9949,-10069,-10039,
-9860,-9532,-9063,-8475,-7784,-7013,-6176,-5299,-4401,-3505,-2635,-1806,-1034,-318,338,943,1518,2067,2603,3139,
3679,4237,4809,5405,6022,6648,7276,7883,8438,8918,9295,9548,9666,9644,9475,9154,8687,8079,7343,6493,
5554,4550,3498,2421,1325,223,-874,-1964,-3023,-4044,-5009,-5910,-6742,-7500,-8181,-8778,-9284,-9677,-9949,-10080,
-10070,-9905,-9601,-9163,-8605,-7936,-7179,-6346,-5467,-4563,-3662,-2787,-1958,-1181,-461,206,827,1411,1968,2508,
3039,3573,4120,4689,5282,5902,6539,7172,7781,8341,8826,9216,9495,9642,9657,9519,9226,8777,8186,7457,
6625,5705,4721,3689,2620,1525,416,-694,-1792,-2857,-3876,-4840,-5744,-6586,-7361,-8067,-8689,-9211,-9622,-9904,
-10048,-10057,-9921,-9649,-9243,-8709,-8059,-7307,-6475,-5594,-4695,-3795,-2925,-2091,-1309,-579,106,740,1334,1895,
2430,2955,3482,4023,4597,5195,5817,6454,7084,7692,8252,8746,9157,9464,9648,9690,9576,9302,8863,8287,
7582,6774,5879,4913,3890,2819,1716,595,-519,-1614,-2675,-3696,-4664,-5582,-6443,-7246,-7970,-8606,-9140,-9561,
-9857,-10026,-10063,-9963,-9726,-9344,-8829,-8188,-7443,-6620,-5749,-4857,-3966,-3091,-2251,-1457,-707,-12,635,1231,
1788,2321,2844,3372,3918,4492,5089,5709,6337,6962,7567,8135,8652,9086,9423,9631,9690,9591,9334,8921,
8372,7696,6913,6039,5081,4056,2981,1874,757,-349,-1439,-2499,-3522,-4504,-5442,-6323,-7140,-7872,-8514,-9054,
-9488,-9807,-10008,-10077,-10011,-9793,-9427,-8920,-8292,-7560,-6752,-5895,-5011,-4120,-3240,-2386,-1572,-809,-105,540,
1140,1698,2234,2762,3298,3845,4415,5010,5617,6236,6859,7471,8057,8592,9048,9403,9628,9703,9626,9392,
9015,8499,7854,7090,6225,5270,4245,3172,2077,970,-130,-1219,-2283,-3321,-4323,-5277,-6168,-6987,-7728,-8377,
-8933,-9390,-9741,-9971,-10068,-10019,-9819,-9469,-8980,-8372,-7665,-6877,-6035,-5154,-4257,-3365,-2499,-1678,-912,-206,
444,1045,1612,2155,2690,3228,3770,4331,4910,5510,6127,6754,7381,7978,8528,8997,9358,9593,9690,9642,
9446,9103,8615,7987,7238,6374,5423,4407,3350,2266,1171,69,-1027,-2110,-3163,-4180,-5137,-6031,-6854,-7600,
-8269,-8850,-9337,-9716,-9970,-10079,-10044,-9861,-9532,-9073,-8493,-7809,-7037,-6198,-5314,-4410,-3511,-2641,-1818,-1045,
-336,321,936,1513,2066,2605,3138,3674,4223,4794,5392,6016,6649,7283,7888,8443,8913,9287,9547,9675,
9663,9502,9186,8720,8104,7361,6511,5578,4585,3543,2470,1374,264,-843,-1937,-2996,-4011,-4967,-5863,-6693,
-7462,-8153,-8755,-9264,-9657,-9921,-10047,-10031,-9872,-9579,-9150,-8597,-7928,-7164,-6325,-5441,-4533,-3639,-2769,-1941,
-1165,-443,229,857,1448,2001,2537,3064,3591,4137,4711,5310,5937,6574,7204,7810,8364,8846,9242,9531,
9691,9711,9575,9277,8820,8220,7498,6672,5764,4785,3754,2679,1576,456,-659,-1752,-2809,-3820,-4783,-5694,
-6543,-7331,-8044,-8669,-9189,-9590,-9869,-10018,-10032,-9909,-9648,-9246,-8711,-8053,-7295,-6464,-5583,-4688,-3795,-2927,
-2093,-1306,-564,119,760,1351,1906,2438,2962,3493,4040,4614,5218,5840,6472,7096,7699,8261,8766,9184,
9499,9689,9726,9604,9321,8887,8314,7618,6819,5931,4961,3928,2846,1738,621,-490,-1578,-2630,-3648,-4625,
-5553,-6423,-7230,-7952,-8583,-9109,-9524,-9827,-10006,-10055,-9963,-9726,-9342,-8818,-8171,-7425,-6608,-5745,-4856,-3966,
-3088,-2241,-1436,-682,14,655,1248,1808,2339,2866,3403,3954,4528,5125,5738,6361,6984,7591,8170,8692,
9131,9467,9669,9724,9621,9361,8958,8418,7752,6972,6092,5123,4089,3010,1910,801,-298,-1384,-2447,-3479,
-4474,-5420,-6301,-7112,-7837,-8475,-9018,-9460,-9792,-10005,-10079,-10011,-9791,-9422,-8916,-8293,-7570,-6775,-5924,-5037,
-4141,-3253,-2395,-1579,-818,-118,527,1127,1689,2230,2765,3302,3852,4419,5004,5609,6228,6856,7476,8066,
8603,9059,9402,9617,9690,9615,9393,9023,8510,7865,7092,6214,5254,4231,3164,2078,976,-121,-1215,-2296,
-3342,-4347,-5298,-6182,-6996,-7730,-8385,-8954,-9424,-9781,-10015,-10109,-10056,-9853,-9506,-9026,-8428,-7729,-6947,-6100,
-5213,-4310,-3413,-2546,-1726,-960,-253,397,1007,1583,2134,2673,3209,3751,4308,4886,5489,6115,6751,7379,
7978,8520,8979,9336,9576,9680,9639,9450,9108,8613,7979,7220,6357,5411,4406,3358,2277,1179,69,-1036,
-2122,-3176,-4183,-5132,-6022,-6842,-7598,-8277,-8866,-9357,-9733,-9979,-10088,-10055,-9877,-9562,-9112,-8541,-7860,-7083,
-6239,-5350,-4445,-3548,-2682,-1860,-1089,-371,291,914,1500,2054,2592,3120,3655,4207,4783,5389,6015,6656,
7282,7881,8425,8896,9276,9541,9678,9669,9504,9179,8701,8083,7344,6502,5577,4590,3548,2467,1360,245,
-866,-1954,-3008,-4013,-4969,-5871,-6712,-7487,-8184,-8794,-9298,-9684,-9947,-10078,-10072,-9928,-9641,-9221,-8668,-7996,
-7225,-6386,-5504,-4603,-3711,-2844,-2015,-1234,-501,176,808,1399,1954,2487,3011,3545,4097,4677,5282,5907,
6541,7167,7763,8317,8810,9213,9506,9671,9683,9538,9234,8778,8186,7473,6656,5749,4768,3730,2648,1540,
424,-681,-1765,-2819,-3834,-4800,-5720,-6578,-7366,-8075,-8692,-9205,-9609,-9891,-10051,-10076,-9961,-9696,-9292,-8751,
-8092,-7336,-6507,-5633,-4741,-3849,-2976,-2133,-1337,-592,97,732,1323,1877,2412,2937,3473,4027,4604,5203,
5820,6447,7069,7675,8244,8753,9179,9495,9674,9708,9585,9307,8880,8319,7631,6832,5935,4960,3925,2844,
1740,631,-471,-1554,-2616,-3642,-4627,-5558,-6428,-7225,-7940,-8568,-9099,-9524,-9834,-10023,-10074,-9981,-9739,-9351,
-8830,-8190,-7452,-6639,-5780,-4889,-3994,-3112,-2261,-1458,-702,-10,629,1221,1779,2316,2848,3384,3935,4503,
5094,5700,6327,6952,7567,8147,8674,9112,9442,9643,9697,9602,9357,8961,8426,7756,6969,6083,5114,4087,
3018,1924,819,-282,-1375,-2449,-3483,-4478,-5417,-6294,-7099,-7827,-8471,-9022,-9472,-9807,-10016,-10088,-10014,-9791,
-9425,-8925,-8309,-7592,-6794,-5939,-5051,-4151,-3260,-2403,-1589,-830,-129,515,1114,1681,2227,2762,3296,3839,
4401,4986,5592,6214,6848,7469,8062,8593,9044,9391,9613,9694,9633,9417,9049,8535,7884,7114,6242,5288,
4272,3214,2124,1023,-83,-1183,-2262,-3306,-4307,-5250,-6132,-6949,-7692,-8351,-8923,-9394,-9747,-9976,-10067,-10013,
-9815,-9475,-9001,-8406,-7707,-6918,-6069,-5181,-4276,-3383,-2522,-1705,-943,-236,420,1030,1603,2152,2686,3215,
3752,4307,4887,5491,6116,6752,7375,7970,8510,8972,9339,9583,9696,9661,9472,9129,8633,8001,7248,6394,
5454,4453,3403,2316,1211,99,-1002,-2086,-3136,-4141,-5096,-5987,-6817,-7576,-8255,-8844,-9332,-9704,-9952,-10066,
-10037,-9867,-9554,-9104,-8531,-7846,-7070,-6226,-5338,-4439,-3548,-2682,-1861,-1091,-373,293,913,1494,2045,2577,
3102,3633,4184,4764,5369,5990,6627,7252,7849,8396,8875,9260,9532,9671,9661,9497,9178,8706,8096,7363,
6525,5604,4611,3566,2486,1380,266,-839,-1924,-2978,-3989,-4950,-5856,-6699,-7472,-8167,-8772,-9274,-9665,-9932,
-10067,-10064,-9920,-9633,-9206,-8650,-7981,-7215,-6378,-5497,-4600,-3709,-2840,-2010,-1228,-498,180,809,1395,1946,
2477,3001,3533,4084,4663,5264,5886,6514,7140,7741,8299,8791,9198,9493,9655,9673,9533,9235,8787,8199,
7490,6674,5766,4784,3746,2667,1565,452,-655,-1743,-2798,-3816,-4785,-5701,-6558,-7345,-8055,-8671,-9189,-9596,
-9883,-10041,-10066,-9949,-9687,-9284,-8744,-8092,-7336,-6512,-5641,-4748,-3859,-2982,-2142,-1348,-603,81,715,1306,
1857,2388,2915,3449,4001,4573,5171,5787,6412,7036,7643,8215,8723,9149,9466,9652,9688,9572,9302,8878,
8316,7630,6831,5941,4968,3935,2861,1759,646,-458,-1547,-2607,-3630,-4613,-5543,-6411,-7213,-7931,-8561,-9094,
-9519,-9829,-10015,-10068,-9976,-9736,-9351,-8832,-8192,-7456,-6644,-5784,-4897,-4002,-3120,-2267,-1463,-711,-18,619,
1210,1769,2307,2839,3375,3923,4491,5082,5691,6314,6938,7557,8139,8667,9106,9440,9644,9704,9611,9365,
8971,8437,7775,6996,6114,5149,4119,3050,1954,849,-253,-1344,-2410,-3444,-4441,-5384,-6264,-7069,-7800,-8440,
-8988,-9439,-9774,-9988,-10065,-9991,-9774,-9407,-8911,-8292,-7576,-6783,-5931,-5042,-4141,-3252,-2392,-1579,-822,-126,
518,1119,1687,2233,2767,3302,3846,4405,4986,5592,6214,6845,7469,8061,8598,9050,9398,9621,9704,9640,
9428,9065,8556,7913,7143,6269,5315,4299,3238,2152,1054,-49,-1145,-2225,-3273,-4274,-5228,-6111,-6923,-7663,
-8322,-8894,-9368,-9727,-9961,-10054,-10003,-9804,-9462,-8992,-8400,-7705,-6923,-6074,-5184,-4277,-3384,-2522,-1704,-942,
-236,419,1033,1612,2162,2697,3225,3762,4316,4893,5498,6124,6761,7389,7986,8526,8992,9353,9599,9713,
9685,9502,9164,8675,8044,7287,6429,5490,4489,3445,2365,1264,154,-955,-2042,-3095,-4098,-5052,-5941,-6765,
-7525,-8208,-8803,-9297,-9672,-9921,-10030,-10001,-9829,-9520,-9081,-8511,-7831,-7056,-6208,-5321,-4415,-3526,-2665,-1843,
-1071,-351,317,940,1526,2077,2605,3130,3661,4211,4791,5398,6027,6660,7285,7879,8425,8899,9285,9557,
9706,9703,9543,9221,8748,8132,7395,6560,5643,4659,3619,2539,1430,309,-801,-1891,-2941,-3944,-4901,-5807,
-6653,-7433,-8139,-8748,-9252,-9638,-9901,-10037,-10036,-9902,-9625,-9207,-8656,-7983,-7212,-6377,-5498,-4603,-3716,-2853,
-2023,-1236,-499,179,810,1394,1941,2469,2993,3528,4083,4662,5267,5887,6515,7134,7732,8288,8785,9197,
9498,9668,9685,9543,9238,8784,8199,7492,6685,5789,4810,3770,2684,1574,456,-649,-1730,-2779,-3789,-4763,
-5689,-6554,-7348,-8059,-8675,-9187,-9587,-9876,-10045,-10080,-9973,-9715,-9313,-8771,-8111,-7357,-6536,-5672,-4787,-3895,
-3020,-2175,-1371,-626,61,694,1279,1832,2366,2895,3434,3990,4566,5162,5774,6392,7016,7622,8199,8717,
9151,9467,9649,9684,9560,9285,8871,8321,7644,6852,5958,4979,3939,2852,1753,646,-449,-1529,-2590,-3621,
-4612,-5555,-6429,-7226,-7938,-8561,-9090,-9523,-9842,-10042,-10105,-10014,-9769,-9378,-8853,-8221,-7492,-6687,-5834,-4949,
-4046,-3158,-2301,-1493,-744,-53,577,1170,1734,2276,2813,3351,3898,4463,5044,5649,6270,6903,7525,8113,
8642,9083,9408,9604,9661,9571,9337,8958,8431,7771,6983,6088,5117,4087,3021,1939,842,-255,-1351,-2430,
-3478,-4479,-5420,-6294,-7091,-7814,-8460,-9018,-9485,-9830,-10046,-10120,-10040,-9813,-9449,-8960,-8354,-7647,-6856,-5998,
-5104,-4197,-3301,-2445,-1638,-882,-187,458,1063,1638,2190,2726,3256,3795,4349,4928,5535,6165,6808,7436,
8026,8558,9004,9345,9569,9662,9613,9414,9056,8545,7890,7112,6236,5284,4279,3234,2156,1055,-57,-1168,
-2256,-3308,-4304,-5239,-6118,-6927,-7675,-8348,-8935,-9417,-9774,-9997,-10082,-10023,-9828,-9500,-9040,-8460,-7764,-6974,
-6112,-5218,-4310,-3420,-2569,-1755,-994,-280,382,1003,1584,2134,2662,3184,3715,4271,4854,5466,6099,6739,
7363,7950,8484,8942,9311,9570,9698,9681,9502,9153,8652,8014,7259,6411,5487,4499,3457,2368,1252,129,
-984,-2066,-3107,-4101,-5044,-5938,-6778,-7552,-8246,-8840,-9325,-9688,-9929,-10040,-10019,-9865,-9567,-9132,-8559,-7867,
-7079,-6229,-5348,-4451,-3571,-2711,-1889,-1110,-378,296,921,1497,2040,2567,3087,3623,4181,4766,5376,6001,
6630,7243,7834,8379,8866,9269,9554,9705,9697,9528,9199,8722,8119,7399,6580,5672,4682,3633,2538,1418,
301,-799,-1872,-2914,-3919,-4886,-5804,-6665,-7452,-8147,-8744,-9238,-9618,-9888,-10037,-10056,-9930,-9649,-9222,-8657,
-7978,-7209,-6377,-5511,-4626,-3737,-2867,-2025,-1230,-490,186,813,1389,1938,2467,2997,3538,4099,4680,5280,
5892,6511,7129,7734,8305,8814,9235,9536,9692,9702,9554,9257,8820,8251,7560,6752,5841,4846,3795,2708,
1606,504,-588,-1662,-2723,-3750,-4739,-5673,-6538,-7321,-8015,-8624,-9137,-9556,-9860,-10039,-10079,-9963,-9696,-9281,
-8740,-8085,-7346,-6536,-5677,-4787,-3886,-2999,-2145,-1346,-605,74,703,1288,1845,2387,2925,3466,4015,4586,
5169,5776,6398,7029,7650,8234,8751,9176,9482,9655,9686,9576,9322,8920,8374,7691,6883,5974,4990,3953,
2885,1800,704,-394,-1491,-2568,-3612,-4606,-5535,-6396,-7182,-7891,-8524,-9071,-9521,-9851,-10048,-10095,-9995,-9745,
-9361,-8854,-8236,-7518,-6716,-5853,-4955,-4046,-3157,-2304,-1502,-761,-71,567,1168,1738,2290,2825,3359,3899,
4458,5040,5655,6279,6924,7548,8134,8652,9080,9403,9607,9678,9606,9381,8999,8461,7782,6987,6098,5136,
4124,3074,1991,885,-231,-1340,-2422,-3466,-4450,-5376,-6244,-7046,-7786,-8451,-9020,-9482,-9824,-10025,-10087,-10011,
-9803,-9456,-8980,-8378,-7670,-6870,-6003,-5104,-4201,-3315,-2464,-1658,-901,-195,464,1080,1659,2210,2740,3266,
3802,4364,4954,5571,6210,6849,7465,8048,8570,9017,9369,9607,9711,9663,9452,9078,8552,7893,7124,6264,
5329,4329,3277,2185,1065,-56,-1163,-2239,-3272,-4257,-5196,-6083,-6912,-7678,-8354,-8932,-9400,-9747,-9967,-10065,
-10025,-9853,-9536,-9080,-8491,-7785,-6988,-6134,-5247,-4354,-3473,-2614,-1798,-1023,-299,370,991,1568,2116,2645,
3170,3712,4275,4868,5484,6110,6737,7351,7933,8473,8945,9324,9589,9710,9675,9477,9124,8628,8001,7266,
6430,5503,4501,3442,2344,1227,115,-981,-2048,-3085,-4090,-5048,-5957,-6805,-7576,-8256,-8839,-9316,-9687,-9944,
-10074,-10071,-9920,-9620,-9169,-8595,-7903,-7129,-6293,-5420,-4530,-3642,-2773,-1938,-1148,-417,257,877,1457,2002,
2535,3071,3617,4182,4765,5368,5985,6606,7225,7827,8387,8882,9278,9556,9688,9670,9498,9183,8725,8134,
7418,6592,5667,4666,3608,2521,1421,320,-771,-1846,-2901,-3923,-4900,-5820,-6670,-7438,-8126,-8720,-9225,-9626,
-9911,-10068,-10082,-9945,-9658,-9225,-8668,-8004,-7251,-6431,-5562,-4666,-3769,-2884,-2039,-1248,-513,161,785,1370,
1926,2467,3003,3547,4104,4677,5266,5878,6504,7133,7747,8319,8821,9226,9515,9670,9684,9550,9271,8842,
8270,7564,6744,5828,4837,3798,2730,1642,537,-561,-1653,-2720,-3753,-4735,-5651,-6502,-7279,-7982,-8605,-9134,
-9562,-9867,-10038,-10065,-9945,-9677,-9278,-8750,-8109,-7376,-6562,-5691,-4792,-3888,-3004,-2158,-1362,-626,54,688,
1280,1844,2388,2924,3457,4001,4564,5153,5765,6400,7034,7650,8226,8732,9149,9461,9647,9698,9600,9349,
8941,8385,7689,6887,5996,5027,4006,2946,1855,747,-366,-1468,-2539,-3572,-4549,-5473,-6333,-7134,-7858,-8505,
-9052,-9493,-9808,-9992,-10038,-9943,-9707,-9337,-8833,-8210,-7482,-6671,-5803,-4904,-4003,-3122,-2276,-1478,-732,-35,
608,1212,1778,2319,2849,3372,3911,4471,5060,5674,6306,6938,7553,8128,8648,9086,9422,9643,9722,9652,
9418,9029,8494,7827,7046,6174,5224,4212,3147,2052,935,-178,-1280,-2351,-3380,-4368,-5304,-6182,-7001,-7744,
-8403,-8964,-9411,-9745,-9950,-10025,-9959,-9755,-9408,-8921,-8311,-7593,-6792,-5931,-5042,-4147,-3270,-2418,-1612,-854,
-147,504,1111,1674,2214,2736,3260,3796,4353,4940,5552,6178,6803,7416,7998,8532,8994,9355,9598,9700,
9645,9437,9069,8564,7924,7168,6313,5373,4364,3302,2207,1097,-13,-1111,-2183,-3223,-4221,-5173,-6069,-6899,
-7650,-8320,-8891,-9358,-9715,-9946,-10051,-10015,-9832,-9504,-9036,-8440,-7740,-6954,-6108,-5228,-4334,-3449,-2591,-1769,
-1001,-285,373,982,1549,2088,2614,3140,3676,4236,4817,5419,6039,6668,7284,7878,8429,8905,9288,9548,
9668,9642,9462,9126,8651,8034,7295,6453,5521,4520,3467,2378,1274,168,-930,-2012,-3061,-4075,-5033,-5937,
-6775,-7537,-8216,-8807,-9295,-9675,-9934,-10059,-10044,-9881,-9575,-9125,-8553,-7871,-7101,-6264,-5389,-4494,-3603,-2738,
-1909,-1129,-404,257,872,1449,1994,2525,3052,3590,4144,4717,5317,5932,6560,7183,7785,8345,8835,9231,
9510,9655,9656,9501,9196,8738,8145,7424,6592,5673,4686,3637,2560,1460,349,-751,-1838,-2895,-3913,-4882,
-5793,-6642,-7417,-8114,-8722,-9227,-9625,-9910,-10054,-10064,-9928,-9644,-9224,-8674,-8011,-7253,-6429,-5557,-4664,-3770,
-2895,-2056,-1269,-538,135,758,1339,1894,2431,2960,3497,4049,4616,5212,5824,6454,7083,7691,8259,8759,
9173,9470,9637,9660,9534,9254,8820,8250,7549,6734,5830,4849,3813,2738,1635,531,-571,-1661,-2724,-3750,
-4726,-5649,-6508,-7297,-8006,-8627,-9157,-9576,-9876,-10052,-10084,-9972,-9715,-9314,-8786,-8145,-7405,-6591,-5728,-4832,
-3934,-3052,-2206,-1412,-672,11,646,1241,1804,2348,2881,3413,3958,4529,5115,5730,6362,6993,7607,8180,
8694,9123,9439,9624,9673,9570,9314,8910,8357,7677,6881,5986,5016,3987,2919,1825,21,106,-1374,-1596,
-1241,-993,-265,667,1917,2977,3854,4332,4689,4886,4913,4564,3898,2958,1966,865,-389,-1987,-3868,-5949,
-7987,-9830,-11333,-12523,-13261,-13406,-12913,-11934,-10601,-9163,-7652,-6171,-4654,-3144,-1674,-249,1197,2712,4387,6098,
7705,9124,10255,11114,11737,12135,12291,12160,11748,11167,10484,9679,8705,7442,5894,4163,2354,501,-1270,-3017,
-4595,-5939,-6851,-7402,-7628,-7641,-7427,-7035,-6424,-5674,-4785,-3911,-3044,-2174,-1202,-164,942,2033,3068,4053,
5010,5895,6648,7195,7515,7609,7571,7440,7207,6776,6176,5403,4538,3614,2595,1389,60,-1427,-2918,-4320,
-5624,-6855,-7963,-8946,-9655,-10105,-10346,-10408,-10439,-10378,-10163,-9732,-9092,-8296,-7298,-6063,-4595,-2910,-1091,726,
2422,3987,5351,6588,7612,8409,8888,9114,9135,9028,8742,8197,7355,6201,4836,3314,1693,19,-1756,-3499,
-5059,-6385,-7385,-8198,-8807,-9229,-9434,-9404,-9100,-8621,-8008,-7292,-6358,-5191,-3833,-2355,-850,642,2102,3552,
4993,6383,7630,8708,9686,10582,11401,12041,12440,12548,12402,12024,11447,10596,9416,7923,6189,4348,2495,633,
-1235,-3012,-4617,-5927,-6912,-7626,-8114,-8401,-8463,-8263,-7833,-7196,-6464,-5673,-4781,-3795,-2758,-1659,-622,354,
1265,2149,3056,3922,4692,5375,5952,6455,6874,7191,7311,7203,6830,6240,5484,4513,3298,1845,242,-1410,
-3083,-4686,-6236,-7730,-9112,-10249,-11081,-11620,-11918,-11991,-11831,-11410,-10711,-9782,-8692,-7487,-6171,-4769,-3223,-1619,
-7,1498,2957,4383,5766,7067,8280,9287,10072,10656,11036,11188,11053,10528,9652,8508,7172,5697,4076,2305,
495,-1285,-2907,-4351,-5616,-6721,-7655,-8307,-8623,-8633,-8376,-7891,-7254,-6412,-5376,-4193,-2945,-1691,-501,706,
1871,3045,4144,5145,6040,6830,7544,8213,8750,9134,9299,9249,9069,8698,8117,7283,6205,4919,3539,2079,
572,-990,-2589,-4141,-5515,-6728,-7727,-8576,-9239,-9655,-9825,-9709,-9370,-8868,-8235,-7482,-6596,-5558,-4440,-3326,
-2188,-1065,77,1213,2348,3415,4383,5230,6033,6724,7313,7722,7877,7824,7558,7078,6402,5445,4226,2782,
1225,-373,-1999,-3634,-5259,-6783,-8138,-9237,-10052,-10626,-10951,-11032,-10808,-10253,-9448,-8459,-7352,-6138,-4806,-3383,
-1912,-415,1023,2407,3716,5006,6218,7301,8187,8904,9454,9865,10138,10166,9966,9528,8865,8043,7058,5870,
4470,2889,1247,-373,-1935,-3405,-4782,-6002,-6978,-7672,-8055,-8147,-8046,-7748,-7217,-6488,-5584,-4591,-3544,-2490,
-1404,-295,840,1933,2979,3922,4819,5676,6488,7163,7728,8122,8354,8444,8397,8135,7647,6886,5932,4796,
3542,2156,619,-1014,-2651,-4229,-5664,-6958,-8132,-9141,-9955,-10484,-10700,-10674,-10429,-10005,-9400,-8590,-7636,-6542,
-5442,-4302,-3157,-1941,-713,525,1703,2838,3898,4911,5848,6701,7368,7807,8011,8037,7875,7477,6804,5874,
4699,3349,1907,385,-1198,-2811,-4400,-5830,-7042,-8016,-8768,-9312,-9588,-9562,-9253,-8679,-7884,-6961,-5905,-4744,
-3438,-2075,-718,603,1887,3122,4333,5492,6580,7535,8342,9052,9663,10137,10426,10475,10296,9912,9345,8557,
7567,6343,4919,3370,1791,240,-1303,-2819,-4227,-5464,-6448,-7207,-7725,-8034,-8137,-8011,-7630,-7035,-6309,-5487,
-4598,-3646,-2596,-1525,-443,613,1599,2576,3544,4487,5361,6144,6771,7309,7721,8002,8094,7947,7557,6950,
6142,5180,4036,2691,1177,-430,-2039,-3602,-5105,-6521,-7835,-8954,-9807,-10376,-10654,-10724,-10581,-10192,-9586,-8755,
-7745,-6639,-5466,-4219,-2912,-1568,-171,1142,2389,3544,4640,5674,6611,7369,7948,8335,8544,8583,8427,8021,
7337,6401,5313,4080,2739,1250,-318,-1909,-3432,-4825,-6024,-7077,-7976,-8643,-9048,-9141,-8968,-8575,-7981,-7221,
-6267,-5152,-3939,-2655,-1382,-116,1155,2440,3694,4875,5947,6932,7831,8648,9369,9931,10279,10428,10366,10129,
9696,9047,8108,6986,5672,4279,2822,1306,-238,-1755,-3195,-4443,-5494,-6358,-7040,-7520,-7762,-7736,-7461,-7000,
-6416,-5715,-4891,-3964,-2925,-1833,-767,289,1370,2447,3532,4581,5557,6428,7173,7831,8378,8736,8861,8728,
8362,7800,7029,6036,4829,3376,1783,141,-1526,-3156,-4746,-6268,-7620,-8731,-9582,-10160,-10506,-10625,-10485,-10102,
-9449,-8614,-7633,-6581,-5448,-4226,-2909,-1589,-293,946,2133,3292,4397,5427,6354,7117,7683,8138,8425,8536,
8371,7949,7276,6381,5334,4110,2706,1156,-481,-2118,-3679,-5128,-6471,-7698,-8725,-9508,-10019,-10232,-10222,-9997,
-9593,-8943,-8100,-7124,-6043,-4952,-3831,-2676,-1519,-345,802,1881,2874,3835,4760,5619,6357,6933,7366,7610,
7702,7590,7277,6701,5885,4878,3748,2462,1069,-435,-1985,-3500,-4916,-6183,-7266,-8207,-8927,-9421,-9603,-9484,
-9171,-8648,-7973,-7104,-6080,-4911,-3655,-2371,-1088,215,1533,2872,4161,5367,6460,7480,8415,9236,9906,10368,
10599,10611,10409,9992,9354,8448,7275,5931,4446,2893,1279,-362,-1997,-3542,-4914,-6055,-6967,-7676,-8154,-8377,
-8316,-7969,-7414,-6667,-5805,-4822,-3728,-2547,-1320,-88,1075,2238,3373,4499,5562,6521,7367,8104,8693,9153,
9476,9563,9405,9001,8385,7595,6597,5389,3996,2462,856,-762,-2332,-3840,-5285,-6600,-7678,-8521,-9093,-9436,
-9566,-9476,-9144,-8586,-7835,-6963,-5992,-4989,-3908,-2766,-1583,-417,721,1803,2842,3875,4859,5742,6515,7115,
7577,7909,8047,7986,7636,7038,6237,5232,4076,2752,1259,-339,-1980,-3559,-5045,-6392,-7652,-8715,-9567,-10133,
-10426,-10462,-10292,-9891,-9314,-8509,-7539,-6433,-5279,-4085,-2855,-1581,-294,993,2206,3344,4421,5422,6369,7215,
7879,8351,8628,8728,8613,8285,7689,6827,5744,4491,3135,1661,94,-1501,-3074,-4525,-5811,-6908,-7810,-8519,
-8993,-9197,-9100,-8753,-8215,-7541,-6674,-5693,-4563,-3383,-2176,-972,230,1413,2626,3776,4864,5856,6754,7549,
8267,8844,9255,9440,9427,9197,8773,8154,7319,6224,4946,3550,2071,567,-987,-2509,-3970,-5270,-6384,-7242,
-7922,-8377,-8626,-8609,-8322,-7839,-7179,-6367,-5457,-4416,-3297,-2097,-890,335,1496,2678,3848,4957,6019,6947,
7771,8483,9040,9468,9678,9659,9378,8856,8126,7226,6079,4751,3264,1685,79,-1505,-3032,-4478,-5794,-6929,
-7814,-8450,-8827,-8983,-8930,-8629,-8083,-7343,-6433,-5445,-4376,-3250,-2064,-831,413,1598,2751,3852,4922,5930,
6839,7641,8263,8720,9026,9165,9066,8727,8098,7259,6224,5003,3641,2141,522,-1148,-2756,-4263,-5638,-6885,
-7938,-8808,-9389,-9712,-9777,-9627,-9279,-8742,-8027,-7122,-6127,-5034,-3932,-2793,-1620,-419,737,1882,2967,3980,
4935,5819,6615,7258,7720,7990,8079,7969,7647,7060,6232,5185,3942,2584,1125,-414,-2016,-3594,-5100,-6400,
-7573,-8519,-9269,-9800,-10059,-10058,-9805,-9326,-8688,-7895,-6949,-5857,-4688,-3469,-2222,-971,277,1506,2763,3943,
5044,6030,6922,7735,8417,8914,9213,9260,9083,8703,8097,7281,6233,4954,3539,2023,501,-1052,-2586,-4045,
-5366,-6493,-7389,-8031,-8460,-8642,-8611,-8285,-7734,-6990,-6130,-5138,-4059,-2890,-1669,-413,832,2029,3190,4335,
5432,6463,7362,8147,8790,9290,9648,9820,9750,9449,8902,8132,7191,6064,4713,3202,1604,-19,-1626,-3192,
-4638,-5971,-7134,-8072,-8751,-9180,-9371,-9339,-9076,-8597,-7909,-7059,-6099,-5071,-3971,-2835,-1649,-425,757,1870,
2975,4033,5049,5977,6787,7457,7971,8289,8460,8426,8162,7617,6836,5858,4717,3415,1979,404,-1211,-2802,
-4334,-5704,-6951,-8038,-8924,-9563,-9913,-9984,-9844,-9501,-8930,-8195,-7288,-6214,-5091,-3899,-2706,-1477,-209,1062,
2275,3451,4543,5578,6507,7341,8037,8552,8829,8936,8830,8501,7932,7106,6050,4815,3417,1932,374,-1224,
-2826,-4357,-5745,-6922,-7918,-8696,-9262,-9586,-9629,-9424,-8992,-8381,-7623,-6738,-5689,-4568,-3384,-2188,-992,209,
1394,2559,3699,4754,5714,6575,7326,7965,8439,8702,8750,8561,8158,7528,6685,5598,4312,2874,1342,-233,
-1814,-3372,-4872,-6248,-7418,-8371,-9080,-9546,-9805,-9815,-9590,-9117,-8426,-7604,-6674,-5632,-4504,-3317,-2071,-837,
402,1585,2757,3910,5003,6015,6884,7639,8262,8727,8986,9053,8834,8385,7677,6777,5687,4401,2929,1347,
-300,-1915,-3472,-4927,-6274,-7448,-8397,-9068,-9485,-9636,-9554,-9268,-8747,-7988,-7108,-6072,-4955,-3787,-2565,-1314,
-14,1256,2486,3634,4775,5830,6835,7696,8423,8972,9351,9532,9547,9290,8802,8048,7070,5919,4619,3154,
1601,-29,-1632,-3167,-4570,-5812,-6868,-7744,-8371,-8724,-8803,-8665,-8306,-7753,-6998,-6103,-5059,-3923,-2748,-1560,
-369,856,2075,3266,4401,5462,6438,7347,8162,8826,9323,9612,9692,9578,9250,8698,7885,6848,5625,4246,
2730,1175,-446,-2049,-3621,-5045,-6291,-7333,-8168,-8763,-9121,-9215,-9038,-8635,-8048,-7272,-6379,-5363,-4216,-3005,
-1773,-547,685,1908,3105,4272,5367,6360,7246,8003,8637,9118,9402,9437,9230,8814,8166,7284,6190,4881,
3415,1834,225,-1397,-2969,-4495,-5898,-7116,-8094,-8836,-9329,-9576,-9590,-9365,-8909,-8242,-7390,-6420,-5367,-4222,
-3004,-1738,-497,752,1960,3138,4262,5364,6345,7220,7955,8533,8968,9217,9257,9028,8554,7853,6922,5806,
4525,3071,1469,-138,-1748,-3299,-4758,-6085,-7246,-8192,-8903,-9332,-9510,-9445,-9183,-8710,-8022,-7149,-6164,-5084,
-3945,-2753,-1534,-280,959,2168,3319,4417,5477,6449,7325,8057,8613,8995,9169,9152,8921,8411,7672,6680,
5486,4165,2705,1116,-508,-2126,-3703,-5147,-6418,-7517,-8421,-9077,-9442,-9560,-9401,-9043,-8475,-7731,-6815,-5777,
-4612,-3399,-2168,-929,325,1577,2820,3982,5092,6103,7013,7836,8509,9038,9363,9449,9334,9019,8435,7644,
6594,5329,3905,2384,783,-848,-2475,-4036,-5502,-6768,-7810,-8649,-9261,-9608,-9713,-9533,-9136,-8530,-7742,-6831,
-5802,-4655,-3453,-2224,-976,232,1427,2610,3724,4798,5763,6633,7382,7989,8451,8725,8762,8571,8162,7510,
6652,5585,4320,2885,1316,-288,-1872,-3460,-4961,-6359,-7584,-8572,-9330,-9833,-10088,-10132,-9908,-9456,-8790,-7935,
-6960,-5901,-4743,-3510,-2235,-947,329,1567,2770,3916,5015,6049,6939,7704,8296,8730,8988,9016,8807,8366,
7657,6739,5611,4327,2887,1312,-326,-1925,-3499,-4933,-6266,-7435,-8379,-9080,-9523,-9693,-9625,-9326,-8841,-8151,
-7259,-6221,-5114,-3906,-2687,-1418,-151,1131,2377,3567,4682,5730,6704,7568,8289,8806,9151,9323,9258,8990,
8487,7706,6720,5511,4179,2720,1156,-465,-2068,-3619,-5038,-6287,-7371,-8252,-8883,-9280,-9368,-9221,-8844,-8297,
-7560,-6642,-5599,-4449,-3242,-1994,-724,531,1772,3013,4198,5330,6350,7295,8124,8836,9357,9704,9817,9715,
9360,8814,8038,7011,5778,4366,2874,1307,-320,-1929,-3491,-4923,-6196,-7240,-8053,-8641,-8993,-9084,-8915,-8513,
-7899,-7116,-6189,-5150,-4031,-2813,-1559,-294,961,2172,3370,4545,5633,6643,7542,8319,8940,9417,9692,9748,
9574,9141,8490,7608,6535,5224,3754,2189,542,-1109,-2710,-4228,-5644,-6902,-7931,-8698,-9224,-9506,-9519,-9307,
-8874,-8227,-7384,-6418,-5355,-4223,-3016,-1779,-517,715,1926,3082,4206,5244,6233,7102,7820,8393,8790,9001,
9010,8780,8307,7592,6657,5518,4187,2742,1178,-476,-2120,-3680,-5166,-6480,-7659,-8619,-9338,-9784,-9984,-9908,
-9629,-9139,-8453,-7592,-6576,-5466,-4296,-3074,-1828,-551,706,1937,3134,4273,5307,6306,7179,7933,8513,8897,
9085,9071,8839,8364,7650,6672,5503,4161,2696,1149,-473,-2101,-3671,-5118,-6407,-7513,-8411,-9053,-9456,-9593,
-9442,-9078,-8478,-7740,-6832,-5774,-4610,-3397,-2107,-836,444,1716,2945,4136,5271,6289,7219,8038,8733,9248,
9573,9692,9575,9226,8651,7865,6831,5604,4170,2647,1059,-578,-2189,-3745,-5193,-6476,-7542,-8382,-8986,-9334,
-9441,-9276,-8885,-8275,-7491,-6584,-5540,-4412,-3218,-1969,-722,505,1704,2860,4002,5078,6037,6907,7645,8245,
8669,8934,8982,8801,8364,7707,6844,5773,4508,3060,1515,-124,-1755,-3350,-4854,-6263,-7514,-8560,-9347,-9878,
-10170,-10220,-10020,-9593,-8965,-8141,-7184,-6102,-4962,-3763,-2497,-1221,52,1287,2462,3597,4685,5670,6569,7324,
7914,8338,8571,8602,8421,7965,7274,6366,5251,3979,2553,1006,-600,-2221,-3788,-5236,-6538,-7673,-8632,-9352,
-9793,-9977,-9900,-9580,-9068,-8355,-7472,-6445,-5299,-4086,-2860,-1579,-297,978,2222,3425,4561,5627,6588,7446,
8165,8731,9104,9269,9213,8960,8450,7720,6750,5560,4207,2735,1173,-432,-2051,-3613,-5068,-6342,-7437,-8322,
-8978,-9369,-9524,-9427,-9061,-8511,-7795,-6934,-5929,-4816,-3628,-2423,-1181,38,1252,2454,3603,4712,5723,6652,
7438,8123,8641,8995,9120,9007,8682,8120,7367,6363,5154,3774,2250,675,-915,-2525,-4052,-5472,-6746,-7804,
-8627,-9200,-9526,-9617,-9456,-9031,-8424,-7616,-6694,-5653,-4505,-3297,-2052,-755,478,1721,2889,4067,5154,6179,
7081,7858,8497,8980,9262,9354,9194,8813,8175,7331,6269,5025,3616,2065,445,-1156,-2735,-4239,-5618,-6851,
-7868,-8645,-9160,-9418,-9439,-9221,-8774,-8125,-7280,-6336,-5242,-4091,-2897,-1659,-384,846,2068,3238,4339,5393,
6376,7235,7982,8563,8967,9172,9188,9008,8575,7889,7005,5877,4615,3194,1655,47,-1554,-3130,-4592,-5920,
-7070,-8034,-8762,-9243,-9441,-9400,-9118,-8631,-7953,-7129,-6132,-5052,-3863,-2652,-1443,-193,1056,2276,3424,4521,
5554,6493,7317,8045,8602,8986,9142,9098,8837,8366,7608,6659,5498,4136,2657,1089,-516,-2141,-3724,-5188,
-6506,-7625,-8521,-9207,-9640,-9794,-9711,-9365,-8809,-8084,-7195,-6188,-5063,-3871,-2618,-1371,-106,1114,2340,3499,
4622,5655,6575,7373,8060,8583,8924,9056,8955,8640,8092,7300,6338,5149,3777,2268,712,-895,-2463,-3999,
-5384,-6642,-7697,-8514,-9099,-9438,-9504,-9359,-8964,-8351,-7573,-6648,-5609,-4491,-3298,-2058,-799,452,1649,2854,
3979,5074,6109,7002,7771,8420,8893,9198,9291,9162,8780,8186,7357,6339,5123,3766,2247,657,-951,-2497,
-4022,-5383,-6616,-7623,-8429,-8955,-9215,-9249,-9058,-8634,-8005,-7186,-6224,-5168,-4005,-2803,-1582,-321,961,2193,
3382,4501,5561,6564,7436,8198,8796,9218,9448,9462,9268,8849,8188,7270,6168,4865,3453,1891,270,-1344,
-2933,-4420,-5778,-6934,-7913,-8673,-9177,-9418,-9376,-9137,-8664,-8008,-7191,-6216,-5156,-4006,-2809,-1602,-379,845,
2052,3214,4290,5310,6237,7054,7770,8326,8686,8873,8808,8539,8054,7344,6399,5256,3908,2448,900,-688,
-2284,-3830,-5297,-6587,-7697,-8590,-9255,-9690,-9873,-9781,-9470,-8922,-8211,-7355,-6362,-5266,-4098,-2854,-1630,-368,
841,2051,3232,4338,5380,6333,7154,7859,8410,8786,8953,8880,8581,8070,7327,6345,5197,3835,2377,792,
-801,-2367,-3884,-5306,-6568,-7632,-8459,-9054,-9399,-9492,-9343,-8981,-8373,-7579,-6642,-5608,-4478,-3272,-2019,-745,
519,1777,2983,4144,5241,6276,7219,8025,8675,9172,9492,9622,9499,9139,8547,7738,6716,5503,4137,2643,
1050,-564,-2154,-3641,-5018,-6219,-7249,-8046,-8611,-8899,-8928,-8718,-8327,-7714,-6928,-5980,-4930,-3817,-2644,-1415,
-207,1021,2223,3374,4478,5514,6473,7340,8084,8672,9092,9307,9325,9140,8702,8047,7154,6032,4756,3333,
1800,187,-1447,-3049,-4558,-5937,-7119,-8124,-8883,-9415,-9690,-9688,-9458,-9010,-8365,-7552,-6603,-5541,-4398,-3197,
-1957,-735,516,1733,2921,4023,5071,6037,6906,7631,8226,8654,8864,8854,8621,8158,7487,6569,5439,4144,
2700,1164,-418,-1993,-3542,-5004,-6306,-7419,-8325,-8988,-9414,-9604,-9509,-9189,-8647,-7910,-7031,-6008,-4912,-3723,
-2492,-1214,30,1278,2499,3694,4803,5849,6806,7636,8310,8866,9235,9413,9365,9047,8518,7775,6812,5641,
4317,2831,1271,-338,-1922,-3420,-4865,-6145,-7220,-8085,-8692,-9087,-9213,-9095,-8749,-8217,-7458,-6567,-5549,-4456,
-3293,-2078,-833,404,1626,2807,3951,5035,6049,6956,7773,8400,8902,9230,9333,9227,8864,8273,7467,6438,
5209,3850,2326,737,-901,-2503,-4028,-5418,-6676,-7727,-8568,-9135,-9481,-9545,-9383,-8999,-8412,-7637,-6717,-5651,
-4535,-3371,-2141,-902,333,1577,2744,3884,4940,5904,6806,7564,8178,8627,8869,8912,8746,8335,7704,6841,
5759,4487,3090,1583,-2,-1619,-3202,-4686,-6034,-7220,-8171,-8919,-9442,-9700,-9690,-9432,-8963,-8315,-7467,-6512,
-5420,-4259,-3048,-1800,-538,685,1922,3112,4247,5321,6281,7142,7919,8494,8930,9167,9168,8962,8515,7860,
6983,5869,4596,3189,1672,92,-1487,-3034,-4468,-5794,-6938,-7827,-8531,-8968,-9180,-9141,-8850,-8346,-7666,-6774,
-5812,-4725,-3583,-2367,-1132,106,1322,2534,3692,4829,5866,6805,7621,8323,8856,9227,9396,9348,9061,8510,
7752,6796,5620,4280,2809,1235,-382,-1984,-3527,-4956,-6263,-7391,-8254,-8917,-9318,-9479,-9401,-9073,-8537,-7824,
-6938,-5941,-4841,-3683,-2483,-1251,-7,1208,2398,3548,4631,5662,6561,7363,8017,8490,8805,8919,8818,8473,
7882,7089,6073,4854,3489,2010,424,-1194,-2774,-4290,-5681,-6905,-7961,-8774,-9359,-9681,-9761,-9593,-9209,-8634,
-7864,-6941,-5899,-4766,-3578,-2378,-1125,127,1344,2553,3704,4783,5787,6697,7492,8173,8648,8944,9025,8908,
8552,7958,7152,6129,4889,3514,2060,510,-1067,-2639,-4108,-5451,-6627,-7594,-8332,-8857,-9105,-9110,-8875,-8419,
-7760,-6957,-5974,-4908,-3738,-2536,-1289,-24,1232,2448,3661,4792,5875,6845,7723,8469,9087,9521,9762,9767,
9577,9117,8452,7565,6458,5141,3703,2159,555,-1045,-2628,-4117,-5453,-6637,-7598,-8315,-8798,-9023,-9024,-8774,
-8292,-7618,-6814,-5856,-4803,-3668,-2495,-1278,-53,1154,2335,3476,4559,5586,6510,7314,7982,8529,8861,9036,
8995,8700,8177,7425,6461,5313,3952,2484,909,-713,-2321,-3878,-5342,-6641,-7786,-8704,-9367,-9791,-9958,-9913,
-9605,-9104,-8404,-7545,-6549,-5464,-4311,-3123,-1890,-643,579,1764,2905,4019,5032,5953,6771,7449,7959,8300,
8442,8369,8063,7514,6732,5739,4557,3209,1745,202,-1411,-2978,-4501,-5882,-7088,-8154,-8988,-9559,-9890,-9961,
-9792,-9414,-8804,-8032,-7108,-6053,-4897,-3678,-2443,-1183,97,1343,2569,3752,4857,5879,6798,7625,8307,8807,
9078,9202,9078,8740,8162,7346,6306,5082,3701,2223,655,-923,-2486,-3989,-5356,-6540,-7547,-8329,-8853,-9138,
-9166,-8970,-8540,-7885,-7091,-6162,-5102,-3960,-2755,-1529,-292,952,2163,3329,4473,5535,6499,7361,8107,8716,
9139,9372,9404,9200,8773,8118,7209,6121,4850,3410,1868,277,-1322,-2873,-4372,-5737,-6915,-7875,-8629,-9086,
-9362,-9354,-9132,-8663,-8001,-7181,-6209,-5147,-4003,-2818,-1570,-346,910,2106,3263,4398,5443,6406,7238,7945,
8524,8902,9079,9063,8820,8324,7594,6639,5490,4183,2709,1150,-459,-2065,-3622,-5077,-6395,-7511,-8442,-9122,
-9536,-9706,-9639,-9344,-8848,-8131,-7269,-6274,-5153,-3987,-2768,-1552,-283,963,2177,3320,4434,5460,6411,7228,
7918,8440,8795,8921,8874,8579,8036,7253,6283,5105,3761,2280,739,-867,-2444,-3975,-5373,-6622,-7674,-8546,
-9137,-9476,-9587,-9447,-9073,-8503,-7742,-6836,-5794,-4648,-3457,-2233,-994,264,1516,2732,3894,5000,6006,6927,
7713,8382,8875,9178,9258,9146,8786,8205,7363,6333,5101,3720,2195,635,-969,-2553,-4086,-5486,-6698,-7715,
-8523,-9079,-9378,-9442,-9257,-8863,-8242,-7439,-6522,-5476,-4338,-3131,-1883,-651,595,1834,3017,4158,5241,6226,
7112,7846,8455,8907,9157,9169,8993,8555,7897,7010,5928,4642,3210,1656,64,-1544,-3105,-4614,-5985,-7178,
-8147,-8897,-9386,-9630,-9633,-9387,-8953,-8294,-7449,-6507,-5422,-4268,-3074,-1825,-579,657,1899,3074,4184,5255,
6228,7077,7792,8366,8760,8959,8942,8708,8219,7503,6555,5424,4143,2694,1132,-458,-2068,-3622,-5076,-6394,
-7520,-8445,-9144,-9561,-9735,-9678,-9389,-8891,-8173,-7297,-6315,-5192,-4024,-2807,-1553,-291,962,2201,3365,4482,
5538,6497,7346,8053,8580,8949,9098,9031,8763,8238,7474,6492,5311,3974,2501,928,-672,-2261,-3802,-5233,
-6503,-7580,-8430,-9073,-9433,-9548,-9401,-9038,-8483,-7723,-6818,-5788,-4638,-3438,-2186,-935,318,1572,2788,3961,
5064,6100,7013,7817,8486,8976,9295,9378,9257,8905,8318,7504,6473,5221,3847,2336,751,-848,-2442,-3957,
-5371,-6608,-7636,-8441,-9022,-9332,-9392,-9208,-8812,-8209,-7421,-6483,-5451,-4300,-3099,-1847,-605,623,1858,3049,
4182,5277,6269,7160,7917,8519,8958,9236,9284,9091,8680,8032,7161,6060,4791,3371,1819,218,-1390,-2945,
-4451,-5829,-7036,-8017,-8786,-9310,-9564,-9563,-9330,-8897,-8237,-7413,-6453,-5383,-4215,-2994,-1735,-473,778,2016,
3213,4344,5407,6407,7277,8006,8577,8982,9202,9190,8953,8489,7773,6839,5707,4413,2972,1416,-202,-1802,
-3346,-4802,-6123,-7258,-8185,-8881,-9337,-9504,-9430,-9138,-8634,-7936,-7054,-6044,-4944,-3749,-2516,-1265,1,1255,
2491,3691,4799,5848,6806,7663,8378,8890,9243,9393,9332,9046,8529,7767,6796,5597,4257,2789,1226,-381,
-1967,-3520,-4946,-6217,-7311,-8190,-8809,-9208,-9332,-9207,-8851,-8285,-7558,-6647,-5623,-4498,-3290,-2064,-796,461,
1694,2931,4109,5205,6229,7170,7981,8656,9162,9473,9580,9463,9126,8538,7741,6689,5465,4070,2558,980,
-641,-2214,-3740,-5144,-6409,-7453,-8264,-8838,-9155,-9243,-9071,-8673,-8065,-7296,-6368,-5316,-4190,-2976,-1733,-490,
753,1960,3161,4313,5379,6383,7262,8038,8638,9080,9338,9385,9188,8779,8117,7240,6163,4876,3437,1902,
288,-1341,-2920,-4428,-5800,-7017,-8024,-8791,-9321,-9612,-9621,-9408,-8956,-8313,-7510,-6540,-5468,-4340,-3116,-1880,
-611,625,1842,3017,4167,5220,6178,7047,7781,8362,8744,8961,8962,8725,8262,7563,6642,5519,4212,2778,
1246,-378,-1998,-3551,-5007,-6329,-7487,-8424,-9122,-9576,-9805,-9722,-9444,-8936,-8251,-7393,-6406,-5284,-4103,-2871,
-1609,-337,910,2140,3331,4460,5498,6462,7302,8022,8556,8940,9098,9054,8786,8262,7529,6579,5409,4068,
2617,1068,-529,-2122,-3653,-5089,-6344,-7453,-8322,-8958,-9341,-9478,-9339,-8994,-8443,-7718,-6818,-5788,-4660,-3466,
-2221,-959,310,1541,2751,3940,5060,6078,7001,7812,8479,8981,9304,9396,9293,8952,8378,7562,6574,5352,
3955,2461,883,-732,-2298,-3826,-5237,-6486,-7527,-8356,-8940,-9265,-9376,-9213,-8822,-8227,-7481,-6560,-5520,-4398,
-3240,-1986,-756,495,1701,2894,4031,5123,6116,6998,7760,8375,8813,9086,9135,8965,8532,7899,7024,5973,
4686,3254,1728,134,-1485,-3065,-4562,-5944,-7143,-8155,-8943,-9462,-9726,-9761,-9548,-9117,-8468,-7685,-6726,-5670,
-4513,-3308,-2073,-820,437,1638,2833,3953,5024,5991,6860,7606,8188,8592,8793,8791,8597,8131,7450,6534,
5417,4130,2697,1148,-445,-2052,-3600,-5057,-6378,-7527,-8466,-9177,-9613,-9833,-9770,-9483,-8988,-8286,-7426,-6433,
-5315,-4148,-2908,-1641,-368,895,2132,3310,4443,5497,6450,7300,8023,8591,8964,9127,9105,8844,8342,7618,
6684,5552,4211,2742,1204,-350,-1949,-3482,-4908,-6192,-7267,-8162,-8805,-9181,-9337,-9237,-8891,-8351,-7610,-6741,
-5724,-4596,-3407,-2185,-914,332,1576,2784,3949,5067,6089,6997,7831,8500,9005,9332,9434,9321,8998,8417,
7629,6637,5438,4049,2548,981,-637,-2219,-3734,-5151,-6400,-7455,-8296,-8882,-9214,-9316,-9168,-8789,-8212,-7439,
-6538,-5508,-4387,-3216,-1969,-728,514,1754,2938,4074,5158,6170,7057,7847,8452,8917,9184,9234,9071,8682,
8014,7187,6117,4867,3463,1946,357,-1259,-2843,-4342,-5717,-6926,-7940,-8720,-9257,-9526,-9572,-9364,-8938,-8314,
-7503,-6558,-5507,-4367,-3178,-1932,-671,559,1789,2965,4100,5164,6142,7012,7763,8340,8778,8992,8986,8805,
8355,7657,6777,5665,4392,2955,1417,-183,-1775,-3353,-4796,-6132,-7285,-8253,-8972,-9439,-9651,-9621,-9343,-8850,
-8181,-7332,-6350,-5255,-4070,-2837,-1600,-336,909,2156,3329,4456,5508,6462,7298,8036,8584,8968,9144,9105,
8838,8347,7606,6676,5527,4198,2742,1196,-393,-1975,-3527,-4972,-6265,-7368,-8275,-8946,-9353,-9496,-9434,-9118,
-8579,-7843,-6985,-5992,-4882,-3686,-2466,-1222,56,1284,2503,3654,4747,5787,6716,7527,8189,8708,9044,9158,
9064,8743,8182,7386,6410,5211,3860,2365,790,-810,-2372,-3917,-5301,-6567,-7636,-8475,-9083,-9435,-9521,-9398,
-9032,-8451,-7680,-6773,-5757,-4632,-3419,-2189,-931,337,1571,2775,3932,5024,6037,6934,7714,8366,8816,9144,
9191,9041,8659,8046,7198,6164,4914,3538,2023,439,-1159,-2733,-4238,-5603,-6814,-7813,-8617,-9166,-9454,-9481,
-9298,-8865,-8242,-7452,-6507,-5453,-4302,-3098,-1852,-583,684,1901,3113,4237,5314,6311,7194,7931,8544,8973,
9202,9215,9014,8586,7921,7020,5930,4650,3240,1703,106,-1491,-3058,-4534,-5852,-7020,-7974,-8727,-9231,-9460,
-9434,-9197,-8722,-8053,-7232,-6263,-5185,-4037,-2800,-1570,-318,939,2147,3331,4450,5500,6463,7294,8007,8573,
8959,9141,9085,8826,8333,7623,6674,5539,4220,2770,1211,-387,-1969,-3512,-4967,-6271,-7394,-8306,-8984,-9415,
-9587,-9505,-9213,-8666,-7979,-7110,-6108,-5011,-3833,-2605,-1340,-106,1154,2374,3539,4629,5674,6640,7443,8126,
8659,9003,9148,9068,8727,8203,7435,6452,5290,3938,2465,898,-700,-2272,-3781,-5224,-6458,-7526,-8377,-8995,
-9366,-9478,-9336,-9003,-8417,-7678,-6764,-5736,-4625,-3435,-2198,-947,308,1549,2763,3909,5000,6018,6940,7719,
8362,8845,9129,9213,9074,8695,8090,7263,6213,5007,3620,2123,530,-1074,-2635,-4136,-5519,-6719,-7747,-8561,
-9121,-9422,-9484,-9295,-8898,-8261,-7502,-6560,-5530,-4388,-3182,-1933,-703,566,1787,2985,4119,5182,6153,7064,
7814,8408,8839,9086,9132,8920,8500,7846,6946,5864,4600,3190,1670,81,-1520,-3086,-4571,-5917,-7084,-8068,
-8805,-9313,-9567,-9573,-9328,-8898,-8231,-7414,-6468,-5392,-4245,-3038,-1794,-543,714,1935,3096,4233,5284,6243,
7114,7813,8391,8793,8984,8979,8702,8239,7551,6623,5486,4204,2764,1240,-348,-1953,-3476,-4929,-6253,-7353,
-8286,-8953,-9399,-9572,-9516,-9213,-8720,-8007,-7145,-6148,-5060,-3892,-2646,-1391,-144,1106,2333,3501,4612,5655,
6597,7422,8108,8640,9003,9145,9084,8776,8236,7490,6527,5358,4028,2553,998,-610,-2206,-3695,-5120,-6399,
-7474,-8330,-8948,-9349,-9467,-9344,-9003,-8470,-7717,-6813,-5793,-4700,-3521,-2278,-1014,212,1459,2678,3827,4935,
5930,6824,7651,8281,8795,9081,9176,9064,8704,8121,7308,6269,5067,3699,2204,636,-979,-2555,-4039,-5430,
-6659,-7690,-8502,-9070,-9388,-9471,-9308,-8907,-8323,-7535,-6615,-5578,-4461,-3258,-2032,-784,455,1698,2890,4031,
5098,6080,6963,7722,8330,8778,9038,9072,8893,8478,7833,6977,5894,4639,3234,1727,146,-1466,-3035,-4509,
-5866,-7052,-8012,-8791,-9304,-9580,-9598,-9365,-8926,-8285,-7455,-6524,-5442,-4293,-3098,-1843,-586,633,1866,3050,
4188,5230,6198,7060,7797,8376,8797,8998,8989,8760,8290,7603,6705,5586,4297,2871,1342,-248,-1828,-3361,
-4803,-6132,-7264,-8182,-8866,-9312,-9547,-9503,-9197,-8718,-8033,-7166,-6182,-5088,-3923,-2698,-1439,-183,1051,2283,
3461,4589,5640,6575,7417,8109,8644,8996,9178,9117,8831,8301,7567,6614,5444,4119,2672,1123,-468,-2049,
-3583,-4988,-6257,-7351,-8219,-8855,-9241,-9407,-9303,-8967,-8416,-7707,-6815,-5806,-4681,-3500,-2286,-1032,231,1469,
2692,3858,4961,5979,6890,7701,8380,8860,9188,9287,9172,8836,8248,7450,6457,5227,3876,2401,819,-764,
-2340,-3843,-5229,-6467,-7498,-8315,-8901,-9241,-9346,-9199,-8806,-8224,-7479,-6569,-5538,-4411,-3230,-2012,-762,486,
1713,2910,4058,5133,6111,7002,7774,8393,8837,9093,9152,8989,8581,7936,7080,6022,4751,3361,1863,277,
-1331,-2892,-4391,-5736,-6949,-7941,-8706,-9240,-9509,-9551,-9349,-8900,-8293,-7494,-6546,-5490,-4345,-3165,-1939,-684,
556,1775,2978,4112,5169,6130,6999,7741,8328,8723,8955,8952,8739,8275,7599,6691,5594,4303,2883,1356,
-229,-1815,-3362,-4829,-6140,-7303,-8234,-8944,-9408,-9614,-9599,-9322,-8846,-8161,-7327,-6338,-5258,-4085,-2868,-1615,
-353,883,2103,3301,4416,5483,6423,7268,7969,8532,8882,9073,9026,8769,8253,7514,6568,5438,4108,2665,
1128,-445,-2026,-3549,-4975,-6241,-7360,-8236,-8894,-9280,-9426,-9348,-9027,-8491,-7776,-6884,-5876,-4761,-3590,-2346,
-1096,177,1413,2632,3806,4893,5923,6844,7662,8332,8827,9137,9280,9156,8828,8265,7474,6471,5271,3905,
2434,867,-736,-2326,-3843,-5249,-6479,-7550,-8391,-8990,-9346,-9447,-9314,-8959,-8382,-7628,-6745,-5704,-4585,-3398,
-2194,-947,298,1533,2745,3886,4965,5988,6860,7632,8260,8720,8978,9044,8892,8500,7885,7023,5985,4736,
3343,1836,268,-1330,-2899,-4394,-5780,-6957,-7969,-8752,-9277,-9551,-9599,-9420,-8989,-8355,-7568,-6628,-5558,-4414,
-3209,-1973,-717,542,1773,2961,4130,5199,6187,7068,7811,8407,8836,9053,9096,8884,8457,7776,6896,5796,
4528,3112,1596,34,-1550,-3103,-4571,-5906,-7049,-8001,-8705,-9178,-9409,-9374,-9129,-8666,-7988,-7137,-6166,-5079,
-3916,-2701,-1453,-181,1085,2313,3492,4639,5698,6667,7500,8212,8774,9151,9326,9305,9031,8542,7814,6857,
5724,4404,2949,1402,-180,-1778,-3317,-4752,-6044,-7140,-8062,-8719,-9161,-9309,-9259,-8960,-8442,-7739,-6879,-5886,
-4786,-3604,-2387,-1154,100,1349,2552,3723,4841,5860,6782,7595,8251,8774,9093,9187,9109,8764,8219,7419,
6426,5225,3879,2397,839,-769,-2353,-3866,-5283,-6529,-7611,-8465,-9068,-9441,-9546,-9423,-9087,-8524,-7764,-6887,
-5840,-4722,-3536,-2295,-1057,211,1453,2666,3832,4932,5936,6861,7633,8268,8752,9040,9111,8979,8611,8005,
7164,6121,4895,3514,1995,452,-1138,-2708,-4213,-5585,-6778,-7794,-8588,-9115,-9416,-9470,-9270,-8858,-8239,-7444,
-6511,-5451,-4310,-3087,-1834,-585,665,1917,3108,4269,5360,6350,7242,7988,8592,9019,9253,9280,9094,8662,
7990,7100,5993,4730,3324,1774,212,-1387,-2940,-4421,-5767,-6925,-7890,-8641,-9121,-9373,-9357,-9112,-8650,-8009,
-7175,-6222,-5130,-3985,-2785,-1530,-267,970,2213,3380,4516,5576,6538,7392,8092,8662,9032,9218,9178,8928,
8441,7720,6761,5613,4297,2853,1285,-296,-1896,-3434,-4892,-6206,-7334,-8235,-8933,-9363,-9567,-9479,-9210,-8684,
-8006,-7155,-6160,-5069,-3869,-2658,-1400,-145,1110,2337,3508,4631,5688,6613,7443,8116,8633,8983,9100,9006,
8712,8148,7380,6407,5217,3866,2397,826,-754,-2335,-3858,-5279,-6540,-7600,-8459,-9097,-9446,-9572,-9423,-9089,
-8534,-7785,-6885,-5856,-4717,-3528,-2280,-1011,231,1489,2725,3892,4983,6018,6944,7731,8384,8861,9153,9236,
9099,8737,8138,7323,6278,5050,3676,2165,587,-983,-2561,-4048,-5441,-6661,-7667,-8464,-9042,-9343,-9403,-9229,
-8822,-8226,-7443,-6500,-5463,-4308,-3114,-1872,-604,655,1900,3106,4248,5340,6336,7222,7984,8585,9031,9274,
9303,9111,8678,8020,7129,6032,4769,3355,1837,224,-1345,-2904,-4368,-5728,-6908,-7864,-8605,-9126,-9367,-9363,
-9129,-8693,-8060,-7233,-6255,-5196,-4047,-2820,-1576,-312,925,2170,3376,4501,5564,6537,7390,8114,8668,9061,
9255,9232,8983,8519,7784,6870,5726,4417,2983,1439,-169,-1739,-3294,-4741,-6060,-7199,-8111,-8802,-9257,-9451,
-9400,-9108,-8621,-7926,-7075,-6074,-5008,-3819,-2609,-1347,-94,1157,2378,3549,4650,5698,6645,7470,8138,8660,
9000,9145,9067,8747,8231,7453,6467,5273,3925,2468,908,-713,-2275,-3818,-5231,-6501,-7599,-8461,-9091,-9497,
-9620,-9513,-9182,-8629,-7910,-7024,-6003,-4918,-3713,-2485,-1218,26,1269,2484,3640,4745,5742,6666,7460,8093,
8581,8848,8954,8813,8449,7879,7055,6022,4796,3422,1933,370,-1244,-2799,-4285,-5690,-6923,-7949,-8767,-9316,
-9659,-9720,-9559,-9152,-8566,-7790,-6860,-5803,-4681,-3450,-2222,-947,307,1543,2741,3910,4981,5995,6902,7658,
8263,8714,8959,9014,8815,8410,7775,6905,5835,4580,3171,1662,93,-1518,-3039,-4521,-5872,-7039,-8022,-8758,
-9276,-9552,-9549,-9322,-8873,-8233,-7427,-6460,-5384,-4226,-3003,-1747,-494,771,2009,3193,4341,5389,6374,7223,
7972,8537,8924,9124,9115,8858,8407,7702,6790,5668,4351,2932,1389,-192,-1799,-3322,-4773,-6080,-7227,-8140,
-8844,-9303,-9511,-9461,-9183,-8699,-8018,-7181,-6198,-5110,-3957,-2734,-1492,-230,1025,2240,3416,4532,5568,6507,
7350,8033,8558,8893,9031,8961,8663,8144,7380,6404,5246,3878,2416,864,-737,-2309,-3831,-5270,-6524,-7648,
-8512,-9139,-9545,-9702,-9584,-9261,-8721,-8007,-7120,-6102,-4979,-3802,-2556,-1282,-25,1204,2435,3589,4712,5732,
6667,7455,8145,8620,8925,9033,8921,8549,7989,7201,6183,4971,3610,2112,568,-1020,-2584,-4070,-5446,-6668,
-7703,-8519,-9076,-9414,-9502,-9320,-8924,-8337,-7562,-6645,-5584,-4451,-3253,-1988,-724,552,1781,2995,4163,5256,
6264,7159,7942,8575,9023,9271,9334,9171,8757,8127,7277,6208,4969,3563,2077,492,-1104,-2657,-4139,-5480,
-6666,-7661,-8434,-8940,-9216,-9248,-8998,-8589,-7942,-7151,-6192,-5132,-3966,-2768,-1517,-259,1011,2252,3438,4567,
5644,6601,7477,8206,8805,9187,9375,9374,9155,8677,7985,7072,5952,4646,3208,1680,95,-1504,-3048,-4494,
-5839,-6981,-7935,-8637,-9107,-9330,-9308,-9045,-8572,-7888,-7073,-6090,-5003,-3841,-2635,-1365,-117,1120,2333,3526,
4648,5690,6629,7472,8163,8709,9039,9200,9125,8872,8326,7593,6630,5453,4127,2647,1116,-467,-2076,-3594,
-5021,-6287,-7397,-8287,-8938,-9342,-9511,-9412,-9101,-8551,-7841,-6978,-5964,-4849,-3667,-2455,-1176,67,1323,2521,
3715,4807,5838,6756,7563,8212,8726,9019,9111,8995,8666,8076,7293,6268,5081,3708,2219,649,-924,-2521,
-4017,-5417,-6657,-7707,-8555,-9155,-9499,-9589,-9452,-9084,-8510,-7735,-6851,-5804,-4667,-3478,-2250,-975,262,1520,
2721,3877,4975,5979,6862,7639,8255,8716,8968,9009,8853,8451,7804,6970,5912,4662,3259,1744,172,-1417,
-2987,-4468,-5825,-7026,-8030,-8818,-9347,-9632,-9676,-9474,-9029,-8419,-7617,-6682,-5627,-4463,-3276,-2015,-740,501,
1751,2925,4056,5143,6121,6985,7742,8333,8745,8932,8946,8723,8279,7594,6708,5599,4304,2883,1357,-218,
-1797,-3378,-4816,-6141,-7281,-8236,-8940,-9419,-9637,-9611,-9359,-8874,-8192,-7363,-6382,-5310,-4124,-2901,-1648,-369,
879,2125,3306,4438,5510,6461,7313,8022,8568,8949,9104,9042,8778,8282,7562,6614,5462,4153,2691,1143,
-426,-1995,-3534,-4958,-6237,-7330,-8231,-8907,-9310,-9467,-9400,-9076,-8546,-7833,-6966,-5970,-4869,-3661,-2447,-1178,
93,1341,2559,3726,4844,5884,6806,7605,8292,8787,9094,9192,9094,8770,8214,7399,6413,5215,3846,2370,
791,-783,-2348,-3893,-5285,-6528,-7587,-8436,-9038,-9414,-9523,-9392,-9025,-8448,-7712,-6804,-5795,-4654,-3459,-2226,
-983,291,1537,2748,3884,4975,5999,6903,7681,8318,8764,9031,9079,8932,8546,7927,7083,6045,4800,3424,
1913,331,-1246,-2795,-4307,-5671,-6876,-7867,-8675,-9226,-9521,-9553,-9383,-8955,-8353,-7560,-6626,-5567,-4430,-3221,
-1986,-714,549,1783,2989,4124,5190,6185,7058,7801,8396,8810,9040,9050,8850,8419,7721,6831,5745,4475,
3079,1541,-26,-1606,-3158,-4624,-5935,-7089,-8031,-8755,-9239,-9481,-9450,-9227,-8745,-8082,-7243,-6276,-5200,-4041,
-2801,-1576,-310,961,2205,3381,4521,5557,6528,7382,8090,8657,9029,9191,9151,8891,8415,7688,6738,5610,
4298,2860,1327,-266,-1837,-3373,-4807,-6083,-7186,-8098,-8756,-9176,-9381,-9304,-9021,-8487,-7812,-6933,-5946,-4842,
-3667,-2443,-1190,87,1318,2548,3716,4824,5853,6799,7590,8280,8800,9117,9246,9142,8818,8263,7480,6489,
5311,3971,2503,935,-665,-2221,-3738,-5142,-6385,-7447,-8292,-8917,-9290,-9403,-9282,-8944,-8371,-7634,-6732,-5719,
-4614,-3436,-2189,-950,307,1558,2756,3908,4983,6002,6910,7688,8310,8777,9064,9124,8971,8579,7988,7145,
6105,4887,3500,2011,443,-1152,-2731,-4197,-5579,-6772,-7795,-8591,-9158,-9468,-9520,-9344,-8951,-8339,-7565,-6627,
-5587,-4449,-3263,-2006,-768,505,1747,2939,4086,5158,6142,7040,7785,8390,8822,9062,9080,8884,8444,7813,
6928,5855,4600,3199,1689,126,-1471,-3003,-4466,-5791,-6939,-7913,-8627,-9144,-9389,-9390,-9138,-8688,-8019,-7206,
-6228,-5172,-4013,-2793,-1535,-304,970,2204,3397,4535,5581,6549,7412,8113,8677,9068,9259,9229,8962,8477,
7774,6842,5695,4415,2981,1440,-135,-1726,-3244,-4689,-5993,-7104,-8015,-8696,-9138,-9357,-9278,-8992,-8521,-7813,
-6967,-5963,-4886,-3721,-2488,-1252,-3,1247,2471,3640,4747,5778,6718,7540,8201,8715,9069,9185,9097,8789,
8237,7476,6501,5326,3998,2540,977,-621,-2194,-3715,-5110,-6383,-7459,-8325,-8962,-9337,-9468,-9380,-9047,-8510,
-7779,-6904,-5894,-4794,-3619,-2371,-1128,112,1362,2564,3723,4812,5808,6720,7510,8136,8612,8907,8995,8834,
8467,7859,7065,6032,4823,3459,1964,415,-1173,-2728,-4210,-5584,-6797,-7823,-8623,-9185,-9503,-9592,-9411,-9023,
-8440,-7650,-6748,-5705,-4561,-3371,-2119,-858,390,1644,2857,4007,5087,6079,6960,7736,8325,8773,9035,9067,
8870,8452,7805,6951,5868,4623,3249,1747,172,-1418,-2957,-4402,-5745,-6925,-7867,-8624,-9114,-9397,-9402,-9169,
-8727,-8103,-7282,-6313,-5262,-4119,-2901,-1662,-399,862,2109,3305,4438,5502,6475,7321,8052,8606,9025,9211,
9200,8945,8470,7769,6861,5740,4453,3046,1504,-60,-1663,-3177,-4607,-5914,-7050,-7956,-8657,-9095,-9312,-9284,
-9006,-8509,-7862,-7002,-6018,-4917,-3770,-2548,-1288,-51,1196,2444,3597,4737,5764,6694,7527,8230,8745,9097,
9231,9164,8852,8320,7556,6600,5427,4097,2644,1110,-471,-2061,-3582,-4983,-6253,-7334,-8201,-8832,-9229,-9372,
-9282,-8952,-8418,-7701,-6824,-5802,-4685,-3517,-2290,-1037,231,1463,2687,3860,4969,5974,6882,7693,8369,8828,
9139,9238,9101,8749,8153,7350,6342,5129,3776,2299,733,-844,-2407,-3904,-5277,-6505,-7545,-8359,-8945,-9260,
-9372,-9214,-8831,-8240,-7497,-6585,-5547,-4401,-3221,-1990,-729,521,1747,2974,4122,5211,6187,7080,7837,8476,
8892,9118,9184,8991,8561,7902,7048,5989,4739,3350,1842,255,-1318,-2885,-4370,-5720,-6935,-7902,-8663,-9209,
-9472,-9522,-9319,-8882,-8264,-7481,-6524,-5488,-4316,-3140,-1885,-635,623,1838,3052,4179,5261,6229,7072,7801,
8387,8769,8997,8966,8735,8269,7559,6647,5535,4235,2822,1295,-278,-1868,-3421,-4860,-6169,-7319,-8241,-8950,
-9406,-9634,-9621,-9350,-8882,-8210,-7379,-6381,-5318,-4152,-2950,-1681,-418,829,2058,3257,4382,5417,6374,7195,
7906,8434,8765,8942,8879,8594,8066,7320,6353,5214,3874,2430,896,-682,-2264,-3780,-5197,-6460,-7562,-8433,
-9085,-9494,-9640,-9568,-9242,-8712,-7998,-7131,-6103,-5002,-3833,-2602,-1343,-72,1178,2406,3588,4688,5725,6634,
7441,8113,8606,8897,9024,8891,8535,7959,7161,6149,4959,3594,2131,570,-1015,-2573,-4089,-5481,-6709,-7760,
-8579,-9177,-9520,-9618,-9498,-9133,-8561,-7812,-6906,-5872,-4753,-3561,-2342,-1074,207,1449,2630,3812,4906,5903,
6783,7545,8164,8632,8872,8927,8751,8356,7720,6854,5798,4562,3157,1668,103,-1475,-3039,-4513,-5883,-7067,
-8078,-8855,-9368,-9655,-9700,-9509,-9086,-8455,-7663,-6726,-5670,-4512,-3296,-2061,-786,491,1720,2913,4089,5158,
6145,7009,7758,8341,8752,8951,8995,8739,8306,7602,6728,5618,4339,2922,1405,-162,-1743,-3270,-4738,-6044,
-7186,-8136,-8837,-9304,-9518,-9490,-9257,-8767,-8081,-7248,-6285,-5184,-4019,-2794,-1540,-287,1003,2232,3424,4573,
5635,6586,7442,8141,8688,9064,9223,9184,8907,8409,7655,6708,5558,4257,2795,1273,-315,-1867,-3408,-4834,
-6111,-7195,-8101,-8737,-9164,-9317,-9260,-8956,-8437,-7729,-6877,-5869,-4763,-3584,-2361,-1107,162,1435,2634,3825,
4940,5957,6893,7690,8351,8844,9150,9251,9149,8812,8245,7429,6409,5235,3876,2380,838,-758,-2322,-3839,
-5251,-6491,-7545,-8414,-9000,-9363,-9478,-9344,-8997,-8454,-7682,-6803,-5779,-4635,-3472,-2220,-974,310,1535,2780,
3928,5038,6041,6956,7720,8330,8793,9055,9111,8965,8567,7961,7111,6046,4837,3447,1937,389,-1183,-2743,
-4216,-5595,-6769,-7778,-8564,-9100,-9410,-9451,-9263,-8857,-8237,-7458,-6522,-5459,-4309,-3090,-1841,-585,679,1940,
3124,4293,5373,6367,7249,7986,8579,9006,9223,9226,9040,8595,7917,7029,5929,4669,3270,1738,192,-1396,
-2922,-4388,-5712,-6861,-7805,-8548,-9015,-9250,-9243,-9010,-8550,-7891,-7063,-6113,-5012,-3854,-2631,-1384,-131,1138,
2388,3568,4693,5750,6735,7553,8260,8814,9187,9355,9298,9033,8522,7798,6844,5677,4379,2932,1386,-187,
-1753,-3289,-4736,-6026,-7143,-8051,-8740,-9162,-9339,-9284,-9003,-8518,-7829,-6966,-6001,-4909,-3732,-2525,-1261,-13,
1236,2447,3602,4721,5757,6672,7492,8143,8660,8977,9087,8976,8663,8100,7317,6299,5095,3770,2310,726,
-845,-2417,-3937,-5342,-6602,-7669,-8515,-9133,-9504,-9630,-9509,-9179,-8632,-7891,-6997,-5989,-4855,-3681,-2442,-1178,
48,1313,2551,3691,4789,5809,6724,7501,8129,8588,8884,8942,8787,8415,7795,6978,5917,4726,3337,1845,
283,-1273,-2861,-4319,-5696,-6900,-7891,-8670,-9245,-9530,-9599,-9410,-9015,-8414,-7631,-6696,-5653,-4501,-3283,-2030,
-775,476,1741,2963,4100,5182,6179,7064,7830,8409,8844,9079,9088,8886,8479,7802,6933,5840,4571,3174,
1658,91,-1477,-3027,-4472,-5821,-6970,-7946,-8681,-9194,-9417,-9422,-9176,-8745,-8111,-7279,-6310,-5256,-4099,-2861,
-1621,-373,901,2123,3326,4454,5519,6484,7329,8038,8589,8943,9141,9099,8838,8353,7616,6689,5538,4239,
2816,1281,-302,-1871,-3413,-4839,-6129,-7275,-8168,-8856,-9310,-9477,-9427,-9139,-8650,-7967,-7123,-6130,-5059,-3873,
-2662,-1396,-126,1130,2356,3541,4648,5691,6637,7456,8128,8636,8973,9096,8999,8695,8157,7376,6390,5212,
3885,2424,893,-690,-2246,-3753,-5150,-6416,-7478,-8344,-8953,-9339,-9456,-9346,-8998,-8457,-7747,-6838,-5827,-4717,
-3497,-2307,-1010,235,1497,2710,3903,4982,6018,6934,7731,8358,8849,9132,9234,9062,8693,8114,7288,6272,
5039,3671,2206,642,-939,-2471,-3973,-5339,-6567,-7577,-8371,-8933,-9265,-9328,-9159,-8760,-8175,-7402,-6480,-5432,
-4309,-3085,-1857,-597,664,1907,3109,4268,5333,6342,7222,7968,8548,8982,9208,9245,9030,8605,7956,7077,
6002,4741,3333,1834,260,-1329,-2872,-4337,-5682,-6859,-7845,-8589,-9091,-9368,-9372,-9181,-8741,-8116,-7304,-6357,
-5305,-4161,-2942,-1700,-448,800,2030,3206,4354,5385,6372,7216,7918,8470,8840,9024,8995,8740,8241,7549,
6625,5489,4183,2740,1236,-355,-1942,-3449,-4891,-6212,-7328,-8252,-8952,-9407,-9609,-9553,-9288,-8795,-8138,-7298,
-6304,-5210,-4071,-2821,-1577,-311,924,2158,3342,4469,5482,6451,7282,7952,8460,8803,8943,8860,8549,8023,
7266,6298,5126,3798,2359,825,-764,-2330,-3838,-5235,-6476,-7567,-8435,-9052,-9451,-9600,-9474,-9146,-8618,-7897,
-7024,-5994,-4892,-3707,-2469,-1201,83,1313,2537,3720,4831,5852,6772,7560,8215,8684,8977,9064,8939,8574,
7998,7180,6174,4961,3583,2119,583,-1002,-2564,-4043,-5409,-6620,-7679,-8467,-9048,-9358,-9460,-9298,-8920,-8343,
-7573,-6669,-5637,-4504,-3316,-2065,-806,459,1692,2900,4048,5144,6135,7036,7775,8391,8790,9034,9080,8895,
8466,7827,6950,5876,4612,3217,1704,155,-1433,-2981,-4444,-5784,-6953,-7952,-8714,-9225,-9493,-9535,-9311,-8897,
-8268,-7494,-6536,-5471,-4330,-3127,-1873,-604,668,1885,3081,4228,5300,6261,7139,7865,8441,8829,9011,8987,
8761,8271,7585,6671,5549,4252,2837,1322,-238,-1843,-3365,-4801,-6103,-7219,-8160,-8873,-9313,-9540,-9509,-9248,
-8767,-8089,-7267,-6301,-5200,-4029,-2821,-1532,-289,981,2200,3387,4531,5582,6524,7359,8052,8580,8913,9067,
8996,8709,8160,7428,6462,5300,3969,2527,992,-565,-2154,-3664,-5082,-6338,-7434,-8308,-8955,-9335,-9502,-9389,
-9050,-8550,-7818,-6973,-5965,-4862,-3673,-2436,-1146,111,1366,2572,3764,4883,5910,6827,7653,8285,8768,9068,
9171,9039,8703,8103,7326,6284,5100,3749,2264,700,-855,-2432,-3929,-5316,-6546,-7578,-8409,-9002,-9339,-9443,
-9286,-8922,-8352,-7593,-6700,-5676,-4539,-3341,-2094,-831,448,1697,2894,4053,5147,6150,7041,7821,8435,8880,
9127,9159,8991,8587,7932,7099,6030,4801,3407,1905,343,-1223,-2778,-4254,-5595,-6776,-7765,-8557,-9084,-9365,
-9395,-9207,-8773,-8152,-7361,-6439,-5360,-4221,-2996,-1766,-464,789,2042,3246,4384,5459,6446,7303,8045,8621,
9022,9220,9219,8987,8514,7818,6934,5810,4550,3115,1609,30,-1549,-3093,-4520,-5833,-6961,-7911,-8632,-9107,
-9320,-9322,-9068,-8592,-7920,-7096,-6126,-5047,-3846,-2633,-1365,-95,1164,2386,3579,4692,5772,6699,7551,8248,
8780,9135,9289,9204,8923,8406,7660,6717,5549,4246,2788,1246,-336,-1902,-3426,-4839,-6101,-7207,-8109,-8762,
-9183,-9342,-9278,-8961,-8451,-7763,-6891,-5904,-4803,-3610,-2400,-1137,114,1384,2595,3756,4864,5901,6822,7620,
8289,8771,9067,9167,9026,8700,8125,7316,6327,5119,3778,2285,747,-832,-2399,-3910,-5289,-6516,-7560,-8417,
-9019,-9384,-9470,-9353,-9008,-8439,-7701,-6807,-5794,-4670,-3466,-2236,-969,290,1553,2753,3911,4990,6001,6905,
7669,8303,8746,8988,9032,8856,8463,7844,6965,5940,4689,3312,1813,243,-1330,-2859,-4359,-5702,-6888,-7894,
-8693,-9218,-9506,-9551,-9380,-8980,-8367,-7590,-6660,-5615,-4475,-3244,-2006,-733,527,1766,2968,4101,5184,6189,
7033,7774,8373,8758,8979,8971,8735,8278,7601,6707,5624,4336,2941,1404,-144,-1714,-3252,-4712,-5999,-7157,
-8112,-8846,-9330,-9569,-9543,-9323,-8864,-8196,-7386,-6425,-5354,-4191,-2973,-1725,-449,820,2049,3244,4369,5426,
6400,7232,7938,8489,8847,9016,8943,8667,8159,7430,6479,5347,4042,2597,1069,-502,-2063,-3579,-4993,-6269,
-7365,-8313,-8945,-9384,-9561,-9501,-9199,-8689,-7989,-7130,-6134,-5048,-3880,-2640,-1391,-123,1148,2361,3556,4642,
5685,6621,7432,8089,8601,8916,9033,8906,8567,8023,7236,6237,5065,3714,2263,704,-870,-2420,-3912,-5324,
-6560,-7607,-8431,-9066,-9424,-9541,-9412,-9085,-8518,-7789,-6892,-5880,-4765,-3563,-2319,-1080,199,1453,2671,3832,
4931,5931,6839,7621,8259,8715,8987,9051,8877,8500,7888,7039,6000,4789,3408,1934,360,-1217,-2755,-4232,
-5590,-6783,-7785,-8569,-9128,-9431,-9483,-9316,-8944,-8319,-7561,-6606,-5581,-4445,-3243,-1989,-736,544,1785,2995,
4138,5225,6198,7090,7836,8420,8834,9052,9052,8842,8400,7741,6855,5772,4515,3111,1626,61,-1511,-3037,
-4503,-5825,-6983,-7936,-8645,-9145,-9430,-9400,-9172,-8749,-8098,-7279,-6311,-5251,-4101,-2875,-1625,-381,901,2143,
3337,4473,5519,6492,7354,8026,8588,8954,9134,9091,8810,8314,7596,6657,5540,4252,2814,1290,-297,-1849,
-3368,-4788,-6080,-7193,-8100,-8762,-9212,-9413,-9365,-9080,-8579,-7886,-7047,-6042,-4957,-3809,-2567,-1302,-60,1209,
2455,3631,4744,5761,6699,7512,8178,8694,9022,9143,9032,8717,8155,7399,6401,5231,3896,2441,904,-699,
-2245,-3756,-5154,-6405,-7454,-8325,-8930,-9319,-9457,-9344,-9010,-8462,-7743,-6869,-5849,-4737,-3574,-2326,-1050,205,
1459,2672,3858,4953,5950,6862,7646,8261,8755,9025,9099,8946,8555,7960,7140,6092,4863,3513,2041,494,
-1100,-2655,-4136,-5491,-6704,-7703,-8510,-9084,-9404,-9478,-9302,-8928,-8344,-7557,-6643,-5605,-4478,-3278,-2017,-763,
490,1768,2965,4151,5217,6197,7080,7846,8429,8862,9093,9120,8910,8489,7834,6955,5875,4613,3228,1729,
163,-1418,-2968,-4410,-5728,-6904,-7866,-8609,-9109,-9370,-9400,-9159,-8735,-8114,-7296,-6346,-5275,-4143,-2914,-1659,
-402,847,2099,3292,4433,5504,6452,7321,8045,8572,8961,9140,9116,8851,8348,7643,6722,5586,4297,2908,
1388,-181,-1755,-3289,-4698,-6026,-7139,-8043,-8732,-9183,-9404,-9375,-9072,-8595,-7919,-7074,-6101,-5013,-3840,-2617,
-1362,-93,1149,2400,3581,4710,5742,6683,7518,8196,8696,9042,9159,9070,8742,8201,7432,6475,5291,3965,
2527,996,-585,-2151,-3667,-5061,-6314,-7401,-8238,-8875,-9267,-9429,-9331,-9004,-8474,-7765,-6871,-5879,-4760,-3587,
-2362,-1087,184,1425,2659,3823,4939,5958,6869,7657,8303,8764,9067,9142,9008,8633,8030,7211,6194,4982,
3622,2151,592,-981,-2532,-4016,-5378,-6608,-7635,-8425,-9004,-9340,-9441,-9278,-8895,-8315,-7584,-6662,-5620,-4496,
-3307,-2060,-794,483,1710,2931,4101,5184,6181,7059,7813,8421,8843,9102,9098,8920,8485,7821,6955,5900,
4644,3236,1752,185,-1387,-2945,-4395,-5722,-6900,-7868,-8634,-9145,-9431,-9468,-9261,-8839,-8218,-7419,-6465,-5422,
-4269,-3056,-1812,-532,714,1946,3168,4289,5362,6314,7173,7907,8467,8833,9028,8991,8753,8280,7559,6636,
5526,4228,2820,1308,-270,-1846,-3385,-4820,-6113,-7260,-8175,-8882,-9348,-9556,-9540,-9274,-8801,-8142,-7310,-6325,
-5253,-4079,-2874,-1617,-359,922,2144,3341,4459,5511,6439,7263,7973,8486,8821,8973,8903,8587,8048,7289,
6320,5164,3835,2397,862,-703,-2271,-3777,-5191,-6433,-7529,-8406,-9037,-9436,-9584,-9524,-9194,-8656,-7951,-7088,
-6069,-4960,-3791,-2569,-1300,-27,1246,2450,3635,4750,5777,6690,7492,8160,8635,8922,9016,8888,8538,7944,
7142,6133,4942,3574,2112,564,-1003,-2551,-4036,-5409,-6612,-7667,-8463,-9064,-9383,-9490,-9366,-8982,-8395,-7653,
-6750,-5725,-4570,-3391,-2161,-893,398,1649,2858,4030,5118,6140,7014,7780,8387,8823,9062,9132,8948,8534,
7887,7031,5964,4728,3334,1874,303,-1253,-2809,-4289,-5624,-6789,-7792,-8550,-9081,-9357,-9388,-9215,-8783,-8163,
-7386,-6448,-5390,-4254,-3038,-1789,-524,749,1984,3174,4341,5395,6369,7245,7959,8548,8937,9112,9125,8865,
8420,7689,6812,5686,4421,2985,1499,-73,-1639,-3167,-4621,-5910,-7041,-7969,-8693,-9171,-9388,-9373,-9142,-8685,
-8007,-7196,-6229,-5139,-3980,-2749,-1494,-234,1023,2252,3438,4582,5636,6592,7412,8102,8640,8980,9133,9081,
8775,8255,7491,6543,5389,4083,2637,1110,-447,-2010,-3530,-4955,-6228,-7291,-8196,-8831,-9250,-9411,-9340,-9051,
-8539,-7832,-6972,-5982,-4873,-3683,-2465,-1209,78,1328,2540,3742,4864,5890,6819,7606,8253,8768,9054,9149,
9040,8676,8123,7296,6303,5122,3769,2297,769,-803,-2369,-3855,-5225,-6459,-7500,-8336,-8908,-9272,-9387,-9259,
-8905,-8343,-7596,-6713,-5675,-4551,-3370,-2122,-874,403,1668,2874,4032,5138,6133,7043,7801,8402,8867,9115,
9155,9000,8595,7970,7103,6062,4797,3423,1946,396,-1193,-2725,-4193,-5558,-6736,-7738,-8521,-9040,-9330,-9380,
-9187,-8808,-8209,-7424,-6514,-5448,-4307,-3105,-1862,-596,658,1917,3103,4254,5339,6328,7159,7894,8469,8876,
9077,9077,8847,8382,7697,6772,5678,4415,3007,1475,-70,-1644,-3173,-4636,-5946,-7090,-8024,-8757,-9236,-9471,
-9453,-9244,-8777,-8143,-7326,-6365,-5282,-4134,-2920,-1660,-404,868,2107,3290,4431,5490,6445,7280,7969,8508,
8865,9010,8952,8676,8157,7428,6475,5321,4027,2593,1048,-487,-2074,-3568,-5008,-6260,-7383,-8277,-8933,-9349,
-9537,-9465,-9173,-8666,-7974,-7116,-6146,-5027,-3860,-2625,-1367,-106,1146,2396,3587,4692,5725,6661,7472,8111,
8614,8935,9035,8903,8586,8019,7239,6234,5045,3700,2258,718,-842,-2398,-3886,-5296,-6528,-7558,-8399,-9010,
-9354,-9486,-9360,-9020,-8476,-7740,-6844,-5843,-4697,-3514,-2276,-1017,255,1517,2747,3889,5005,6009,6915,7693,
8303,8771,9035,9088,8921,8525,7916,7090,6014,4805,3434,1942,388,-1156,-2708,-4168,-5538,-6723,-7738,-8516,
-9064,-9356,-9431,-9248,-8875,-8258,-7494,-6557,-5536,-4392,-3168,-1934,-667,588,1830,3059,4183,5276,6262,7149,
7913,8477,8892,9099,9124,8882,8446,7776,6893,5770,4523,3134,1609,47,-1509,-3044,-4477,-5831,-6965,-7925,
-8645,-9163,-9390,-9401,-9163,-8732,-8082,-7267,-6318,-5269,-4079,-2872,-1627,-358,898,2143,3334,4461,5537,6497,
7338,8045,8581,8943,9123,9046,8775,8281,7578,6630,5481,4176,2763,1234,-327,-1903,-3414,-4826,-6123,-7233,
-8128,-8793,-9236,-9413,-9360,-9081,-8599,-7910,-7057,-6069,-4993,-3808,-2576,-1320,-39,1208,2429,3623,4733,5775,
6718,7534,8196,8692,9013,9129,9005,8687,8137,7349,6356,5171,3848,2390,850,-718,-2273,-3787,-5154,-6408,
-7491,-8312,-8942,-9320,-9450,-9347,-9026,-8494,-7768,-6879,-5853,-4762,-3555,-2325,-1054,215,1449,2664,3852,4932,
5970,6885,7675,8288,8728,8991,9071,8912,8528,7920,7105,6066,4836,3473,1984,424,-1144,-2669,-4152,-5512,
-6728,-7739,-8539,-9095,-9419,-9484,-9331,-8933,-8350,-7592,-6652,-5621,-4502,-3258,-2023,-742,498,1769,2980,4138,
5205,6209,7092,7843,8445,8855,9069,9096,8867,8420,7780,6888,5806,4535,3148,1660,102,-1465,-3011,-4457,
-5769,-6942,-7917,-8650,-9156,-9410,-9419,-9203,-8758,-8136,-7331,-6378,-5311,-4177,-2921,-1684,-384,874,2107,3308,
4476,5520,6509,7351,8073,8604,8980,9148,9123,8835,8368,7632,6714,5576,4284,2847,1351,-231,-1783,-3311,
-4730,-6009,-7140,-8052,-8741,-9197,-9396,-9350,-9089,-8610,-7937,-7110,-6117,-5031,-3854,-2601,-1352,-85,1162,2404,
3581,4726,5752,6702,7519,8202,8706,9022,9131,9042,8715,8182,7390,6424,5252,3904,2469,920,-657,-2220,
-3699,-5094,-6350,-7428,-8304,-8921,-9299,-9462,-9359,-9038,-8504,-7795,-6920,-5914,-4803,-3630,-2370,-1098,167,1415,
2644,3831,4927,5932,6865,7649,8295,8746,9013,9093,8955,8559,7968,7144,6118,4913,3540,2049,516,-1057,
-2602,-4082,-5451,-6665,-7680,-8488,-9059,-9391,-9476,-9306,-8939,-8357,-7615,-6695,-5653,-4515,-3328,-2067,-788,468,
1756,2939,4101,5198,6187,7090,7849,8467,8864,9105,9125,8952,8499,7856,6987,5921,4671,3257,1761,215,
-1366,-2888,-4328,-5655,-6817,-7796,-8542,-9050,-9337,-9348,-9132,-8718,-8088,-7297,-6344,-5281,-4140,-2925,-1669,-398,
887,2119,3313,4464,5549,6509,7368,8089,8662,9014,9184,9154,8906,8411,7712,6798,5681,4377,2961,1443,
-112,-1697,-3205,-4642,-5927,-7056,-7998,-8696,-9133,-9355,-9334,-9057,-8601,-7928,-7112,-6135,-5037,-3890,-2656,-1393,
-124,1130,2357,3539,4666,5715,6641,7484,8168,8683,8997,9128,9034,8729,8176,7424,6437,5279,3963,2490,
970,-594,-2177,-3678,-5072,-6335,-7416,-8303,-8932,-9330,-9497,-9415,-9084,-8559,-7866,-7002,-5986,-4873,-3697,-2454,
-1180,83,1356,2564,3731,4859,5852,6775,7582,8210,8685,8976,9055,8915,8562,7938,7141,6127,4939,3562,
2094,560,-1010,-2565,-4042,-5405,-6606,-7639,-8470,-9041,-9384,-9497,-9352,-8961,-8413,-7669,-6778,-5727,-4594,-3411,
-2158,-882,393,1638,2849,4014,5125,6110,6992,7749,8367,8806,9026,9053,8867,8455,7788,6945,5893,4658,
3261,1756,222,-1351,-2899,-4348,-5690,-6871,-7850,-8614,-9136,-9409,-9461,-9266,-8834,-8239,-7442,-6511,-5442,-4299,
-3093,-1843,-564,709,1964,3148,4295,5367,6353,7205,7932,8489,8881,9069,9036,8802,8327,7617,6718,5590,
4341,2908,1392,-162,-1723,-3250,-4681,-5976,-7095,-8032,-8741,-9229,-9420,-9419,-9177,-8703,-8048,-7230,-6266,-5204,
-4026,-2809,-1546,-265,987,2228,3418,4540,5615,6543,7372,8056,8575,8913,9042,8980,8667,8136,7386,6440,
5282,3972,2513,1004,-559,-2120,-3635,-5024,-6292,-7372,-8254,-8912,-9323,-9482,-9423,-9100,-8601,-7895,-7047,-6041,
-4935,-3757,-2526,-1269,4,1279,2507,3649,4774,5810,6725,7525,8190,8649,8947,9011,8895,8534,7948,7141,
6154,4963,3618,2144,594,-948,-2499,-3993,-5355,-6593,-7612,-8454,-9049,-9397,-9504,-9398,-9020,-8474,-7714,-6845,
-5798,-4678,-3471,-2247,-969,286,1556,2770,3915,5007,6021,6903,7643,8272,8726,8968,8997,8814,8412,7772,
6909,5879,4642,3273,1764,209,-1342,-2871,-4338,-5661,-6851,-7825,-8610,-9147,-9449,-9477,-9327,-8907,-8294,-7519,
-6586,-5550,-4415,-3193,-1948,-671,588,1828,3051,4173,5261,6245,7109,7851,8427,8834,9020,8995,8761,8312,
7616,6713,5619,4366,2984,1458,-103,-1657,-3160,-4606,-5903,-7042,-7966,-8697,-9177,-9414,-9396,-9171,-8702,-8071,
-7238,-6287,-5219,-4053,-2831,-1572,-289,969,2203,3409,4520,5568,6555,7382,8077,8604,8950,9112,9046,8748,
8271,7506,6556,5425,4121,2685,1161,-407,-1950,-3464,-4874,-6127,-7241,-8125,-8788,-9220,-9407,-9346,-9064,-8561,
-7877,-7014,-6041,-4945,-3771,-2531,-1286,-12,1260,2493,3675,4793,5822,6756,7544,8215,8718,9024,9116,9001,
8639,8084,7291,6276,5121,3778,2337,794,-763,-2305,-3807,-5186,-6415,-7479,-8304,-8925,-9288,-9421,-9303,-8953,
-8418,-7680,-6793,-5778,-4673,-3478,-2241,-963,305,1560,2781,3949,5030,6058,6965,7745,8374,8821,9081,9140,
8950,8578,7960,7114,6085,4882,3510,2036,485,-1080,-2611,-4074,-5419,-6626,-7612,-8397,-8963,-9271,-9333,-9152,
-8762,-8155,-7386,-6469,-5439,-4296,-3086,-1844,-575,696,1953,3159,4318,5388,6385,7268,7992,8579,8992,9211,
9211,8973,8534,7876,6962,5898,4644,3246,1732,171,-1396,-2903,-4370,-5691,-6838,-7794,-8521,-9023,-9293,-9289,
-9072,-8646,-7999,-7193,-6237,-5196,-4024,-2817,-1560,-298,969,2202,3412,4539,5580,6552,7395,8082,8651,9007,
9168,9121,8832,8331,7619,6666,5543,4255,2820,1307,-264,-1830,-3335,-4755,-6060,-7159,-8073,-8752,-9192,-9414,
-9336,-9092,-8618,-7933,-7097,-6116,-5036,-3864,-2633,-1368,-111,1152,2385,3563,4685,5703,6657,7460,8112,8638,
8957,9078,8973,8641,8085,7317,6340,5162,3842,2386,856,-731,-2267,-3767,-5153,-6392,-7453,-8326,-8945,-9343,
-9469,-9379,-9064,-8521,-7794,-6914,-5910,-4795,-3624,-2368,-1111,146,1411,2636,3830,4928,5944,6846,7643,8248,
8725,9008,9070,8912,8545,7927,7110,6078,4876,3518,2053,515,-1076,-2608,-4083,-5434,-6649,-7645,-8454,-9025,
-9356,-9439,-9282,-8908,-8336,-7573,-6662,-5624,-4498,-3298,-2057,-782,474,1730,2938,4109,5193,6180,7056,7818,
8387,8834,9055,9062,8853,8412,7758,6898,5818,4578,3178,1682,125,-1442,-2978,-4422,-5768,-6913,-7885,-8639,
-9156,-9428,-9469,-9256,-8828,-8221,-7417,-6473,-5410,-4273,-3077,-1813,-544,711,1963,3157,4322,5363,6326,7195,
7896,8451,8827,9010,8965,8698,8212,7503,6592,5461,4172,2759,1256,-302,-1882,-3390,-4804,-6121,-7235,-8139,
-8848,-9307,-9528,-9499,-9234,-8763,-8120,-7275,-6302,-5214,-4058,-2830,-1569,-290,973,2211,3400,4537,5580,6523,
7353,8033,8538,8892,9017,8943,8615,8082,7323,6370,5199,3880,2441,922,-631,-2214,-3702,-5095,-6360,-7429,
-8290,-8927,-9318,-9499,-9410,-9093,-8573,-7879,-7000,-6003,-4879,-3721,-2485,-1213,58,1312,2545,3729,4839,5846,
6769,7575,8214,8678,8979,9043,8918,8550,7947,7167,6138,4922,3585,2113,568,-992,-2550,-4028,-5394,-6623,
-7645,-8456,-9050,-9390,-9498,-9352,-8971,-8419,-7684,-6774,-5755,-4616,-3432,-2187,-910,361,1605,2826,3988,5095,
6094,6980,7759,8355,8787,9026,9054,8866,8454,7804,6952,5890,4647,3274,1779,230,-1330,-2880,-4338,-5670,
-6858,-7843,-8592,-9119,-9410,-9456,-9276,-8857,-8253,-7462,-6531,-5472,-4323,-3132,-1879,-602,674,1907,3128,4269,
5346,6328,7187,7928,8490,8885,9079,9044,8820,8351,7643,6745,5639,4366,2977,1453,-104,-1664,-3181,-4628,
-5913,-7058,-7986,-8708,-9180,-9408,-9394,-9150,-8677,-8036,-7204,-6241,-5171,-3992,-2779,-1536,-243,1023,2252,3450,
4591,5650,6602,7422,8122,8647,8994,9145,9078,8779,8250,7501,6561,5412,4099,2669,1145,-419,-1971,-3489,
-4867,-6145,-7231,-8114,-8770,-9191,-9354,-9301,-9005,-8479,-7792,-6937,-5940,-4839,-3634,-2416,-1154,127,1380,2607,
3797,4900,5958,6861,7675,8330,8813,9108,9223,9097,8754,8162,7372,6371,5184,3843,2386,844,-718,-2274,
-3766,-5150,-6358,-7424,-8248,-8845,-9202,-9322,-9202,-8850,-8286,-7568,-6670,-5642,-4530,-3337,-2109,-832,425,1683,
2892,4075,5168,6189,7077,7840,8472,8919,9155,9209,9033,8626,7994,7139,6111,4888,3498,2015,479,-1079,
-2630,-4107,-5447,-6629,-7635,-8419,-8963,-9263,-9323,-9160,-8770,-8162,-7399,-6471,-5423,-4278,-3064,-1834,-561,707,
1954,3164,4317,5387,6373,7234,7961,8543,8946,9136,9136,8909,8459,7773,6877,5787,4516,3111,1609,42,
-1509,-3036,-4507,-5808,-6939,-7903,-8634,-9125,-9365,-9366,-9149,-8702,-8048,-7245,-6293,-5220,-4068,-2841,-1600,-330,
940,2178,3363,4509,5560,6523,7351,8046,8603,8945,9104,9057,8757,8257,7506,6571,5446,4137,2709,1196,
-360,-1913,-3432,-4861,-6124,-7228,-8138,-8800,-9232,-9421,-9363,-9101,-8605,-7905,-7067,-6085,-4991,-3820,-2586,-1346,
-71,1196,2433,3612,4733,5775,6716,7527,8182,8692,9009,9103,9007,8666,8118,7328,6338,5164,3832,2369,
852,-718,-2263,-3758,-5149,-6376,-7444,-8312,-8901,-9282,-9415,-9322,-8980,-8444,-7710,-6838,-5826,-4707,-3516,-2286,
-1027,248,1516,2721,3897,4994,6012,6928,7674,8299,8769,9029,9094,8930,8538,7934,7095,6055,4843,3489,
2006,462,-1106,-2634,-4128,-5491,-6682,-7685,-8481,-9059,-9369,-9438,-9285,-8925,-8323,-7562,-6651,-5613,-4482,-3274,
-2028,-776,498,1753,2952,4118,5207,6186,7068,7798,8390,8826,9035,9033,8820,8390,7740,6840,5756,4519,
3127,1626,75,-1495,-3013,-4473,-5792,-6946,-7898,-8643,-9149,-9412,-9429,-9228,-8809,-8159,-7362,-6412,-5347,-4208,
-2985,-1724,-463,788,2045,3240,4381,5455,6419,7260,7978,8522,8894,9058,9018,8761,8280,7552,6629,5493,
4231,2787,1270,-267,-1833,-3332,-4780,-6061,-7173,-8077,-8760,-9204,-9420,-9366,-9118,-8644,-7970,-7128,-6161,-5072,
-3907,-2662,-1412,-144,1112,2359,3538,4671,5703,6646,7465,8125,8649,8975,9096,8998,8680,8141,7378,6386,
5232,3912,2461,924,-633,-2180,-3677,-5069,-6330,-7392,-8250,-8883,-9278,-9431,-9348,-9037,-8499,-7783,-6915,-5911,
-4796,-3622,-2386,-1124,138,1404,2639,3793,4907,5928,6832,7624,8251,8722,9015,9084,8930,8568,7970,7146,
6130,4925,3572,2098,554,-1013,-2556,-4039,-5413,-6616,-7638,-8452,-9034,-9370,-9461,-9316,-8950,-8378,-7637,-6729,
-5696,-4564,-3387,-2137,-864,391,1643,2859,4021,5114,6108,6999,7744,8335,8773,9011,9030,8834,8406,7767,
6901,5825,4580,3197,1715,164,-1413,-2946,-4401,-5737,-6911,-7870,-8629,-9164,-9434,-9476,-9257,-8856,-8242,-7442,
-6495,-5455,-4302,-3096,-1826,-565,693,1942,3156,4307,5374,6339,7197,7927,8476,8863,9055,9027,8783,8308,
7602,6694,5583,4295,2893,1392,-182,-1738,-3272,-4688,-5984,-7118,-8041,-8745,-9217,-9434,-9422,-9155,-8701,-8050,
-7213,-6234,-5162,-4008,-2782,-1513,-250,1000,2242,3434,4558,5622,6565,7398,8082,8585,8936,9078,9001,8695,
8160,7408,6453,5283,3978,2563,1028,-533,-2088,-3600,-4989,-6271,-7356,-8222,-8873,-9287,-9447,-9391,-9063,-8554,
-7856,-6988,-6004,-4910,-3711,-2480,-1219,49,1299,2545,3731,4838,5867,6794,7590,8237,8709,9009,9099,8966,
8603,8026,7213,6219,5013,3670,2220,675,-884,-2437,-3927,-5294,-6523,-7565,-8374,-8968,-9325,-9436,-9301,-8943,
-8399,-7661,-6752,-5734,-4617,-3417,-2182,-891,365,1615,2846,4010,5106,6112,7009,7776,8387,8808,9069,9108,
8928,8524,7887,7038,5981,4742,3368,1894,337,-1233,-2760,-4225,-5560,-6757,-7749,-8499,-9050,-9348,-9402,-9217,
-8806,-8210,-7441,-6504,-5446,-4317,-3107,-1853,-580,683,1925,3141,4301,5366,6355,7207,7948,8517,8910,9120,
9106,8867,8407,7709,6813,5718,4441,3034,1539,-32,-1592,-3117,-4555,-5861,-7011,-7938,-8662,-9143,-9388,-9386,
-9150,-8692,-8054,-7243,-6275,-5212,-4052,-2822,-1574,-291,957,2194,3404,4528,5577,6527,7367,8065,8587,8927,
9084,9017,8723,8217,7470,6519,5381,4064,2636,1129,-446,-2001,-3518,-4926,-6201,-7312,-8201,-8857,-9296,-9477,
-9416,-9133,-8638,-7955,-7105,-6103,-5018,-3846,-2617,-1355,-92,1173,2394,3587,4700,5733,6661,7467,8133,8624,
8923,9036,8932,8571,8012,7222,6229,5041,3696,2243,718,-853,-2398,-3887,-5266,-6495,-7557,-8398,-9000,-9367,
-9489,-9382,-9030,-8473,-7754,-6863,-5833,-4720,-3544,-2301,-1027,248,1506,2717,3894,4997,5995,6907,7685,8317,
8765,9026,9075,8910,8519,7899,7065,6032,4813,3446,1968,423,-1138,-2670,-4144,-5486,-6674,-7690,-8462,-9019,
-9326,-9395,-9223,-8829,-8232,-7476,-6552,-5512,-4354,-3169,-1921,-654,624,1872,3074,4238,5314,6313,7173,7917,
8506,8911,9115,9135,8917,8460,7790,6909,5811,4560,3149,1674,110,-1447,-2983,-4437,-5751,-6898,-7868,-8603,
-9101,-9351,-9360,-9155,-8714,-8074,-7279,-6335,-5262,-4115,-2893,-1639,-368,889,2128,3316,4470,5515,6468,7324,
8027,8575,8932,9083,9058,8771,8276,7536,6621,5482,4191,2747,1248,-311,-1879,-3381,-4813,-6084,-7194,-8097,
-8787,-9228,-9422,-9379,-9123,-8636,-7950,-7123,-6142,-5046,-3878,-2642,-1385,-121,1134,2364,3548,4679,5718,6660,
7476,8140,8657,8968,9084,8999,8664,8108,7336,6361,5186,3860,2408,883,-673,-2229,-3722,-5123,-6364,-7412,
-8282,-8897,-9276,-9417,-9316,-9002,-8462,-7739,-6868,-5861,-4743,-3548,-2323,-1055,226,1476,2687,3881,4991,6005,
6918,7702,8326,8805,9067,9134,8995,8607,8010,7172,6158,4956,3591,2116,583,-984,-2537,-3998,-5357,-6562,
-7580,-8390,-8940,-9271,-9368,-9214,-8837,-8256,-7496,-6600,-5551,-4417,-3234,-1981,-722,547,1809,3005,4161,5256,
6246,7122,7867,8454,8886,9108,9120,8936,8496,7839,6960,5895,4626,3235,1749,202,-1377,-2905,-4355,-5697,
-6851,-7828,-8590,-9082,-9349,-9382,-9172,-8767,-8151,-7352,-6430,-5361,-4210,-3001,-1758,-484,763,2022,3208,4348,
5425,6397,7224,7943,8500,8880,9048,9022,8767,8276,7564,6631,5516,4241,2820,1289,-250,-1808,-3334,-4768,
-6062,-7181,-8094,-8801,-9252,-9462,-9430,-9187,-8703,-8049,-7220,-6249,-5162,-3998,-2785,-1516,-252,1021,2254,3436,
4570,5619,6563,7390,8062,8577,8911,9032,8949,8650,8103,7351,6389,5223,3910,2467,924,-612,-2183,-3670,
-5079,-6322,-7417,-8289,-8929,-9322,-9478,-9397,-9079,-8559,-7850,-6985,-6004,-4880,-3702,-2464,-1202,64,1316,2553,
3735,4837,5865,6785,7573,8209,8681,8979,9051,8897,8553,7960,7156,6137,4934,3582,2128,584,-969,-2517,
-4001,-5385,-6598,-7611,-8438,-9025,-9352,-9467,-9327,-8965,-8403,-7661,-6759,-5744,-4597,-3408,-2166,-904,366,1624,
2847,3986,5095,6094,6979,7737,8338,8781,9020,9048,8856,8442,7805,6953,5875,4649,3270,1770,220,-1328,
-2864,-4316,-5663,-6837,-7826,-8587,-9118,-9394,-9443,-9253,-8857,-8235,-7452,-6513,-5476,-4334,-3105,-1867,-595,660,
1911,3124,4253,5337,6315,7183,7931,8482,8878,9065,9061,8808,8349,7656,6755,5630,4371,2975,1446,-109,
-1658,-3182,-4611,-5937,-7054,-7989,-8699,-9191,-9401,-9394,-9145,-8690,-8026,-7203,-6242,-5186,-3997,-2781,-1533,-263,
995,2241,3431,4554,5617,6572,7403,8097,8617,8965,9122,9029,8740,8225,7496,6535,5380,4064,2645,1117,
-444,-2003,-3513,-4916,-6188,-7282,-8157,-8810,-9235,-9394,-9325,-9039,-8533,-7842,-6973,-5982,-4895,-3710,-2472,-1214,
64,1311,2539,3729,4832,5863,6797,7596,8250,8733,9035,9133,8989,8653,8084,7279,6275,5078,3746,2288,
743,-820,-2368,-3868,-5230,-6467,-7528,-8341,-8956,-9319,-9432,-9313,-8979,-8433,-7697,-6803,-5771,-4672,-3464,-2229,
-953,314,1550,2768,3947,5027,6052,6959,7731,8336,8766,9014,9074,8898,8495,7875,7040,5993,4755,3386,
1896,339,-1223,-2744,-4216,-5563,-6764,-7761,-8538,-9087,-9395,-9448,-9276,-8872,-8274,-7507,-6561,-5525,-4400,-3154,
-1914,-639,610,1875,3083,4237,5302,6298,7173,7912,8498,8896,9098,9106,8864,8404,7744,6839,5751,4475,
3079,1586,31,-1532,-3067,-4508,-5808,-6961,-7924,-8644,-9137,-9382,-9376,-9147,-8695,-8060,-7248,-6292,-5219,-4079,
-2824,-1582,-291,970,2206,3404,4562,5601,6582,7417,8122,8651,9009,9165,9123,8823,8334,7590,6656,5512,
4214,2772,1273,-304,-1853,-3373,-4786,-6056,-7173,-8070,-8748,-9190,-9380,-9321,-9050,-8564,-7882,-7046,-6051,-4965,
-3786,-2532,-1281,-15,1236,2475,3650,4787,5811,6755,7564,8234,8728,9034,9132,9025,8683,8140,7338,6359,
5180,3832,2390,844,-732,-2292,-3760,-5149,-6396,-7462,-8326,-8931,-9300,-9449,-9340,-9009,-8466,-7748,-6870,-5858,
-4745,-3567,-2310,-1035,226,1478,2705,3888,4983,5984,6907,7685,8319,8761,9021,9087,8937,8529,7927,7095,
6059,4850,3472,1982,446,-1121,-2661,-4133,-5496,-6702,-7705,-8501,-9062,-9387,-9462,-9282,-8908,-8321,-7570,-6646,
-5600,-4462,-3274,-2010,-731,523,1811,2994,4154,5244,6230,7125,7877,8483,8875,9105,9117,8929,8467,7814,
6936,5862,4609,3195,1696,150,-1427,-2947,-4379,-5702,-6856,-7824,-8563,-9063,-9341,-9346,-9122,-8703,-8067,-7269,
-6315,-5248,-4105,-2889,-1631,-359,920,2155,3348,4496,5575,6533,7384,8098,8662,9010,9173,9132,8873,8371,
7663,6743,5619,4312,2895,1377,-177,-1758,-3262,-4694,-5975,-7095,-8027,-8717,-9148,-9363,-9335,-9053,-8590,-7913,
-7090,-6112,-5013,-3863,-2627,-1363,-95,1158,2385,3566,4692,5735,6661,7497,8177,8684,8996,9117,9017,8704,
8144,7383,6396,5231,3912,2441,920,-643,-2219,-3718,-5106,-6364,-7439,-8317,-8939,-9330,-9491,-9405,-9068,-8541,
-7841,-6974,-5959,-4843,-3668,-2423,-1148,113,1384,2593,3759,4885,5877,6796,7598,8224,8692,8977,9050,8905,
8544,7917,7114,6097,4903,3527,2059,525,-1044,-2596,-4071,-5429,-6627,-7653,-8478,-9046,-9384,-9491,-9344,-8949,
-8398,-7649,-6755,-5704,-4569,-3386,-2132,-856,417,1660,2872,4035,5143,6126,7005,7760,8373,8806,9025,9046,
8855,8437,7768,6920,5864,4626,3230,1724,191,-1380,-2925,-4373,-5710,-6888,-7864,-8622,-9142,-9411,-9459,-9260,
-8827,-8230,-7430,-6497,-5427,-4284,-3077,-1827,-547,722,1977,3161,4307,5377,6361,7211,7935,8490,8879,9064,
9028,8791,8313,7600,6698,5569,4317,2885,1369,-183,-1743,-3268,-4697,-5989,-7107,-8040,-8746,-9231,-9421,-9417,
-9173,-8697,-8042,-7222,-6256,-5193,-4016,-2798,-1535,-255,995,2236,3427,4548,5622,6549,7376,8059,8577,8912,
9041,8976,8662,8129,7377,6430,5271,3960,2502,993,-568,-2128,-3642,-5030,-6297,-7376,-8256,-8913,-9322,-9480,
-9420,-9097,-8596,-7890,-7041,-6035,-4929,-3750,-2520,-1263,7,1283,2510,3653,4777,5812,6727,7526,8191,8649,
8946,9011,8894,8532,7945,7138,6151,4960,3615,2141,592,-948,-2499,-3993,-5354,-6592,-7611,-6,-9,326,
1233,2676,4808,7503,8782,9233,9459,9014,7465,5188,2771,537,-1735,-4473,-7844,-11458,-14624,-16832,-18100,-18730,
-18933,-18542,-17241,-15033,-12315,-9646,-7362,-5436,-3636,-1700,356,2365,4185,5853,7603,9557,11528,13203,14319,14838,
15002,15291,15702,15789,15207,13872,12085,10353,8622,6397,3405,18,-3364,-6219,-8177,-9666,-11045,-12014,-12271,-11695,
-10406,-8751,-7100,-5448,-3664,-1860,-185,1197,2158,2826,3308,3567,3665,3725,3682,3603,3685,3976,4443,4971,
5424,5861,6322,6717,7041,7227,6890,5891,4568,3270,2017,762,-641,-2353,-4124,-5496,-6279,-6726,-7103,-7430,
-7506,-7119,-6354,-5479,-4682,-3978,-3253,-2524,-1886,-1508,-1348,-1241,-1045,-750,-403,-10,443,1017,1718,2603,
3700,4940,6089,6949,7455,7709,7915,7902,7309,6004,4161,2144,317,-1275,-2928,-4968,-7194,-9115,-10523,-11399,
-12020,-12686,-13282,-13397,-12803,-11713,-10524,-9464,-8527,-7410,-6009,-4537,-3108,-1812,-643,677,2345,4314,6409,8376,
10116,11761,13435,15065,16271,16679,16169,15108,13984,12822,11317,9057,6018,2675,-368,-2940,-5283,-7692,-10074,-11982,
-12980,-13013,-12456,-11699,-10732,-9354,-7482,-5276,-3116,-1296,195,1504,2716,3746,4499,4910,5057,5118,5308,5681,
6162,6640,6992,7272,7653,8131,8500,8485,7936,6949,5823,4752,3579,2004,-18,-2174,-4008,-5330,-6287,-7141,
-8005,-8648,-8761,-8304,-7530,-6727,-5948,-5094,-4071,-2956,-1975,-1285,-867,-570,-302,-33,215,427,635,944,
1438,2192,3210,4329,5325,6288,7335,8402,9408,9933,9568,8308,6597,4778,2814,542,-2188,-5191,-7884,-9848,
-11130,-12129,-13036,-13769,-14013,-13522,-12543,-11375,-10188,-8998,-7628,-6059,-4420,-2913,-1692,-688,271,1311,2512,3775,
5016,6217,7461,8942,10599,12060,12991,13197,12824,12299,11700,10754,9091,6700,4047,1572,-560,-2500,-4617,-6871,
-8823,-10148,-10750,-10863,-10807,-10563,-9921,-8687,-7010,-5221,-3587,-2178,-873,413,1616,2608,3301,3719,3963,4191,
4547,4998,5435,5817,6211,6749,7484,8271,8759,8767,8345,7751,7166,6410,5175,3355,1164,-915,-2620,-4124,
-5644,-7247,-8690,-9653,-10009,-9936,-9703,-9408,-8905,-8067,-6940,-5724,-4609,-3704,-2931,-2203,-1494,-830,-245,209,
603,1109,1851,2818,3860,4785,5555,6317,7225,8174,8798,8752,8027,6949,5793,4543,2968,860,-1627,-4061,
-6057,-7586,-8929,-10265,-11470,-12227,-12282,-11711,-10822,-9853,-8831,-7613,-6128,-4462,-2867,-1491,-339,734,1889,3136,
4353,5446,6381,7286,8323,9520,10695,11580,12019,12151,12159,12072,11652,10586,8793,6566,4308,2221,159,-2085,
-4496,-6761,-8487,-9551,-10142,-10510,-10696,-10516,-9788,-8553,-7071,-5621,-4332,-3155,-2033,-984,-85,568,973,1238,
1478,1812,2287,2823,3361,3929,4662,5604,6662,7552,8036,8108,7967,7749,7349,6499,5040,3135,1151,-652,
-2289,-3985,-5840,-7672,-9109,-9963,-10294,-10362,-10308,-10058,-9438,-8398,-7099,-5795,-4633,-3619,-2677,-1741,-854,-88,
523,1036,1614,2410,3453,4634,5785,6826,7855,8965,10109,10977,11231,10799,9902,8827,7601,6023,3867,1245,
-1452,-3842,-5808,-7538,-9234,-10830,-12019,-12516,-12333,-11724,-10958,-10075,-8947,-7472,-5764,-4046,-2524,-1231,-95,990,
2043,3004,3813,4457,5064,5797,6737,7779,8722,9429,9929,10365,10793,11011,10725,9811,8434,6916,5410,3804,
1887,-387,-2728,-4767,-6315,-7460,-8406,-9219,-9709,-9653,-9030,-8036,-6942,-5867,-4772,-3625,-2457,-1379,-518,106,
554,948,1364,1825,2313,2808,3325,3986,4850,5875,6862,7593,8011,8259,8432,8453,8037,7009,5436,3629,
1852,113,-1782,-3943,-6197,-8186,-9629,-10545,-11140,-11556,-11721,-11444,-10646,-9462,-8140,-6865,-5669,-4477,-3261,-2090,
-1060,-228,469,1139,1917,2870,3937,5001,6016,7040,8185,9403,10461,11066,11111,10731,10158,9428,8348,6704,
4525,2117,-147,-2150,-4025,-5950,-7865,-9459,-10440,-10766,-10624,-10238,-9636,-8720,-7397,-5769,-4069,-2509,-1162,21,
1085,2042,2848,3489,3991,4464,5029,5774,6666,7574,8401,9135,9879,10639,11269,11504,11169,10355,9287,8111,
6738,4990,2806,428,-1803,-3677,-5256,-6699,-8047,-9130,-9711,-9700,-9239,-8560,-7783,-6884,-5810,-4608,-3426,-2405,
-1597,-970,-433,66,552,1014,1461,1939,2560,3391,4435,5528,6500,7276,7914,8499,8930,8950,8355,7152,
5604,3964,2251,309,-1975,-4451,-6778,-8672,-10097,-11229,-12190,-12902,-13145,-12787,-11926,-10800,-9608,-8386,-7077,-5686,
-4296,-3051,-2027,-1200,-461,294,1114,1976,2819,3642,4512,5521,6664,7777,8622,9063,9173,9104,8863,8286,
7154,5448,3417,1363,-573,-2484,-4524,-6652,-8594,-10056,-10945,-11389,-11575,-11516,-11098,-10203,-8908,-7425,-5974,-4629,
-3378,-2195,-1107,-178,551,1108,1594,2122,2756,3509,4327,5145,5989,6907,7945,8965,9723,10046,9940,9559,
9012,8215,6982,5236,3149,1033,-878,-2617,-4319,-6023,-7563,-8664,-9186,-9228,-8966,-8528,-7865,-6894,-5643,-4263,
-2946,-1804,-810,75,894,1631,2259,2793,3308,3902,4686,5647,6705,7709,8598,9432,10250,10982,11385,11239,
10504,9367,8038,6550,4766,2561,47,-2450,-4658,-6495,-8096,-9570,-10833,-11659,-11872,-11511,-10795,-9906,-8900,-7710,
-6336,-4881,-3528,-2377,-1427,-607,170,926,1652,2324,2960,3653,4502,5512,6584,7543,8261,8755,9126,9366,
9321,8765,7633,6091,4400,2693,892,-1148,-3382,-5566,-7409,-8768,-9735,-10454,-10944,-11066,-10682,-9823,-8675,-7456,
-6250,-5056,-3839,-2671,-1636,-819,-210,279,744,1256,1846,2482,3150,3874,4736,5759,6851,7809,8447,8735,
8773,8635,8240,7396,5992,4152,2159,224,-1645,-3563,-5589,-7548,-9172,-10262,-10862,-11129,-11167,-10917,-10266,-9204,
-7878,-6502,-5203,-4000,-2856,-1745,-733,141,853,1477,2125,2897,3818,4839,5859,6834,7821,8854,9884,10692,
11056,10914,10380,9626,8664,7359,5581,3401,1085,-1079,-2991,-4747,-6451,-8018,-9213,-9840,-9890,-9544,-8956,-8181,
-7154,-5851,-4374,-2917,-1626,-523,429,1286,2068,2752,3323,3828,4359,5017,5848,6791,7721,8534,9235,9885,
10470,10845,10787,10185,9136,7843,6423,4825,2906,681,-1629,-3741,-5487,-6917,-8151,-9208,-9926,-10139,-9815,-9094,
-8183,-7186,-6092,-4890,-3629,-2430,-1427,-627,11,581,1147,1736,2335,2942,3603,4411,5410,6533,7626,8510,
9135,9552,9819,9848,9444,8470,6984,5227,3393,1520,-508,-2741,-5024,-7088,-8702,-9873,-10711,-11314,-11614,-11468,
-10815,-9781,-8567,-7334,-6126,-4905,-3684,-2530,-1542,-757,-124,460,1094,1831,2639,3451,4280,5162,6154,7215,
8173,8819,9054,8946,8607,8049,7136,5717,3824,1689,-437,-2442,-4383,-6347,-8275,-9926,-11088,-11696,-11870,-11756,
-11385,-10677,-9594,-8213,-6734,-5321,-4048,-2901,-1850,-890,-80,572,1101,1602,2186,2919,3782,4697,5592,6472,
7372,8293,9095,9562,9550,9097,8353,7411,6214,4640,2662,464,-1692,-3618,-5316,-6900,-8368,-9575,-10309,-10493,
-10203,-9634,-8867,-7916,-6724,-5354,-3937,-2635,-1513,-567,280,1068,1812,2494,3117,3758,4495,5413,6487,7603,
8609,9455,10175,10799,11252,11331,10871,9878,8525,7000,5325,3410,1200,-1182,-3466,-5431,-7020,-8334,-9440,-10273,
-10656,-10489,-9847,-8904,-7822,-6654,-5389,-4036,-2679,-1453,-444,379,1086,1760,2445,3143,3838,4542,5308,6222,
7268,8320,9196,9779,10094,10211,10117,9692,8765,7316,5520,3595,1672,-300,-2402,-4572,-6597,-8249,-9423,-10194,
-10680,-10888,-10738,-10140,-9140,-7914,-6634,-5411,-4229,-3088,-2023,-1099,-349,218,709,1202,1781,2464,3212,3980,
4792,5685,6667,7635,8386,8771,8765,8464,7941,7132,5897,4194,2153,20,-2012,-3937,-5826,-7672,-9356,-10645,
-11413,-11703,-11648,-11345,-10769,-9859,-8659,-7292,-5943,-4708,-3604,-2601,-1675,-830,-100,527,1108,1753,2528,3460,
4483,5508,6473,7399,8305,9125,9664,9750,9330,8527,7476,6206,4630,2683,446,-1826,-3909,-5727,-7335,-8799,
-10036,-10885,-11196,-10993,-10424,-9631,-8659,-7500,-6162,-4748,-3393,-2220,-1231,-394,363,1061,1715,2319,2911,3569,
4364,5321,6374,7382,8245,8932,9490,9905,10031,9686,8830,7541,6032,4388,2591,558,-1649,-3846,-5800,-7377,
-8603,-9577,-10289,-10633,-10494,-9882,-8936,-7817,-6629,-5399,-4126,-2871,-1709,-731,53,703,1300,1912,2559,3248,
3968,4749,5634,6660,7747,8743,9483,9930,10123,10098,9780,9038,7779,6094,4184,2229,269,-1762,-3865,-5899,
-7644,-8943,-9792,-10291,-10504,-10396,-9885,-8974,-7773,-6468,-5175,-3942,-2756,-1631,-613,260,976,1576,2169,2816,
3577,4425,5311,6208,7141,8121,9102,9911,10386,10432,10126,9538,8702,7511,5888,3886,1708,-428,-2415,-4299,
-6114,-7785,-9132,-9996,-10349,-10295,-9945,-9348,-8470,-7319,-5979,-4618,-3352,-2233,-1242,-358,432,1131,1727,2275,
2842,3511,4332,5273,6250,7188,8052,8870,9599,10124,10264,9924,9145,8067,6774,5243,3393,1256,-997,-3141,
-5028,-6659,-8083,-9300,-10189,-10608,-10518,-10009,-9240,-8309,-7219,-5996,-4681,-3410,-2271,-1309,-512,201,872,1516,
2158,2800,3494,4301,5262,6342,7427,8374,9125,9687,10075,10217,9949,9169,7918,6351,4621,2779,764,-1418,
-3637,-5691,-7388,-8693,-9679,-10386,-10771,-10722,-10202,-9307,-8173,-6962,-5716,-4446,-3187,-2001,-965,-121,568,1185,
1797,2453,3165,3917,4720,5600,6589,7652,8659,9453,9936,10109,10034,9692,8979,7810,6189,4282,2277,282,
-1712,-3734,-5721,-7481,-8838,-9722,-10199,-10353,-10201,-9700,-8842,-7678,-6373,-5071,-3847,-2706,-1649,-692,130,801,
1370,1890,2464,3140,3933,4804,5696,6604,7548,8498,9341,9898,10058,9813,9246,8408,7275,5755,3851,1696,
-490,-2548,-4456,-6256,-7918,-9329,-10303,-10781,-10810,-10493,-9932,-9120,-8052,-6781,-5437,-4156,-3015,-2024,-1135,-340,
370,1018,1596,2180,2844,3645,4583,5587,6549,7427,8209,8894,9395,9572,9287,8535,7406,6046,4472,2651,
551,-1710,-3924,-5916,-7617,-9055,-10263,-11176,-11664,-11658,-11190,-10402,-9427,-8308,-7073,-5749,-4436,-3236,-2202,-1353,
-625,42,688,1332,1985,2656,3425,4322,5340,6393,7346,8104,8644,8986,9097,8874,8199,7046,5531,3806,
1996,67,-1989,-4108,-6115,-7839,-9164,-10124,-10777,-11131,-11112,-10653,-9800,-8691,-7468,-6219,-4975,-3753,-2593,-1559,
-680,39,671,1285,1953,2691,3488,4333,5237,6220,7274,8318,9181,9744,9962,9878,9522,8844,7747,6211,
4327,2289,251,-1740,-3718,-5650,-7422,-8839,-9810,-10329,-10497,-10359,-9903,-9105,-7998,-6689,-5344,-4054,-2865,-1765,
-752,148,924,1581,2186,2812,3537,4374,5307,6272,7214,8150,9060,9876,10452,10644,10407,9793,8888,7715,
6220,4366,2236,20,-2108,-4047,-5819,-7438,-8823,-9837,-10361,-10412,-10079,-9466,-8626,-7567,-6312,-4966,-3648,-2459,
-1426,-525,273,994,1654,2267,2866,3525,4291,5203,6211,7211,8129,8924,9598,10107,10334,10148,9485,8404,
7037,5464,3686,1673,-520,-2738,-4784,-6532,-7994,-9186,-10103,-10651,-10729,-10355,-9619,-8642,-7543,-6329,-5056,-3758,
-2548,-1487,-596,155,835,1504,2184,2888,3612,4406,5302,6320,7390,8396,9215,9781,10102,10182,9957,9322,
8206,6678,4889,2976,987,-1084,-3224,-5302,-7143,-8606,-9662,-10361,-10748,-10786,-10422,-9653,-8574,-7345,-6064,-4807,
-3578,-2410,-1347,-433,326,969,1575,2215,2932,3721,4564,5450,6387,7382,8374,9238,9828,10065,9964,9567,
8871,7809,6340,4504,2449,361,-1676,-3642,-5549,-7316,-8796,-9856,-10451,-10636,-10503,-10063,-9319,-8280,-7029,-5692,
-4404,-3213,-2135,-1153,-271,509,1178,1792,2403,3096,3915,4833,5821,6803,7746,8659,9484,10117,10406,10270,
9717,8838,7677,6237,4480,2435,241,-1918,-3898,-5678,-7270,-8652,-9709,-10329,-10464,-10179,-9582,-8748,-7711,-6497,
-5159,-3823,-2580,-1494,-552,280,1039,1746,2417,3075,3761,4542,5454,6463,7499,8441,9247,9891,10358,10566,
10398,9776,8716,7311,5686,3890,1905,-255,-2473,-4572,-6392,-7892,-9086,-9981,-10549,-10686,-10374,-9679,-8719,-7612,
-6422,-5176,-3926,-2731,-1676,-792,-51,596,1194,1811,2457,3138,3876,4697,5615,6622,7592,8413,8991,9300,
9343,9111,8509,7479,6016,4250,2323,326,-1713,-3791,-5834,-7689,-9205,-10317,-11033,-11415,-11470,-11163,-10486,-9482,
-8296,-7051,-5829,-4653,-3547,-2540,-1652,-905,-269,315,922,1609,2394,3253,4162,5113,6104,7090,7986,8651,
8972,8922,8537,7843,6834,5430,3665,1634,-485,-2557,-4533,-6411,-8149,-9637,-10737,-11375,-11576,-11413,-10945,-10191,
-9158,-7908,-6549,-5196,-3958,-2830,-1832,-931,-127,580,1226,1862,2551,3352,4273,5265,6266,7230,8113,8917,
9548,9881,9806,9300,8419,7246,5812,4106,2129,-31,-2197,-4218,-6006,-7565,-8890,-9910,-10530,-10685,-10392,-9764,
-8888,-7827,-6616,-5309,-3979,-2738,-1648,-721,73,779,1433,2053,2677,3326,4056,4902,5866,6889,7866,8708,
9378,9852,10097,10013,9500,8537,7199,5591,3817,1888,-186,-2344,-4429,-6294,-7818,-9019,-9904,-10450,-10625,-10368,
-9711,-8758,-7635,-6430,-5189,-3946,-2756,-1679,-762,3,668,1281,1903,2581,3297,4077,4925,5853,6854,7858,
8737,9383,9735,9800,9575,9021,8056,6673,4929,2986,962,-1082,-3138,-5155,-7024,-8592,-9757,-10510,-10879,-10919,
-10613,-9951,-8966,-7763,-6466,-5179,-3954,-2805,-1749,-823,-24,653,1260,1867,2527,3290,4135,5033,5953,6890,
7822,8678,9340,9685,9655,9254,8552,7529,6184,4484,2498,384,-1712,-3700,-5557,-7262,-8743,-9891,-10592,-10839,
-10701,-10239,-9514,-8529,-7332,-6017,-4691,-3454,-2352,-1373,-512,262,955,1587,2198,2855,3601,4474,5439,6435,
7385,8261,9022,9632,9979,9951,9487,8622,7434,5992,4300,2364,245,-1930,-3997,-5846,-7430,-8761,-9807,-10485,
-10721,-10507,-9928,-9075,-8035,-6848,-5567,-4252,-2992,-1864,-893,-67,665,1352,2012,2683,3386,4141,4999,5961,
6991,7992,8865,9537,9994,10211,10121,9637,8713,7391,5767,3961,2026,-20,-2140,-4214,-6099,-7667,-8873,-9738,
-10262,-10430,-10195,-9566,-8615,-7473,-6231,-4966,-3715,-2504,-1408,-452,355,1041,1662,2286,2949,3679,4463,5311,
6224,7199,8186,9078,9759,10147,10212,9981,9423,8498,7169,5477,3540,1509,-546,-2571,-4547,-6396,-7980,-9191,
-9983,-10371,-10401,-10111,-9490,-8556,-7389,-6110,-4831,-3615,-2486,-1462,-554,235,914,1527,2116,2763,3504,4345,
5249,6178,7110,8029,8870,9540,9929,9941,9562,8835,7796,6450,4775,2807,668,-1488,-3536,-5434,-7163,-8662,
-9853,-10637,-10961,-10861,-10424,-9712,-8759,-7602,-6307,-4984,-3723,-2590,-1598,-727,46,751,1395,2018,2666,3400,
4246,5190,6186,7142,8009,8746,9324,9663,9663,9239,8393,7195,5737,4048,2141,59,-2111,-4208,-6097,-7720,
-9055,-10092,-10791,-11074,-10918,-10362,-9511,-8460,-7277,-6002,-4696,-3427,-2274,-1276,-422,318,1000,1669,2347,3047,
3811,4655,5594,6615,7630,8540,9253,9734,9956,9889,9471,8622,7368,5774,3971,2044,26,-2050,-4111,-6018,
-7641,-8900,-9793,-10342,-10532,-10346,-9773,-8869,-7733,-6486,-5203,-3944,-2727,-1604,-602,254,981,1640,2288,2973,
3723,4540,5413,6336,7300,8274,9177,9890,10307,10397,10151,9590,8681,7396,5752,3826,1764,-314,-2353,-4318,
-6158,-7770,-9038,-9882,-10311,-10354,-10072,-9473,-8575,-7440,-6165,-4857,-3611,-2457,-1413,-478,344,1054,1690,2296,
2932,3657,4481,5387,6324,7244,8136,8948,9605,10004,10046,9685,8948,7898,6553,4915,2999,886,-1280,-3365,
-5278,-7003,-8495,-9700,-10522,-10906,-10860,-10446,-9741,-8810,-7689,-6431,-5124,-3867,-2726,-1724,-847,-72,629,1290,
1938,2598,3329,4163,5101,6099,7083,7969,8721,9289,9628,9659,9287,8493,7307,5830,4135,2243,180,-1967,
-4083,-6012,-7680,-9041,-10088,-10800,-11132,-11035,-10536,-9713,-8669,-7492,-6231,-4941,-3683,-2515,-1490,-622,129,813,
1470,2153,2867,3634,4478,5398,6391,7397,8311,9035,9519,9725,9647,9227,8414,7193,5620,3805,1852,-177,
-2233,-4276,-6188,-7843,-9156,-10070,-10620,-10819,-10655,-10123,-9255,-8146,-6903,-5619,-4357,-3162,-2042,-1048,-190,550,
1200,1827,2487,3218,4019,4892,5811,6760,7714,8609,9348,9815,9942,9721,9176,8298,7069,5491,3617,1577,
-511,-2541,-4485,-6292,-7894,-9183,-10064,-10521,-10583,-10290,-9697,-8820,-7705,-6438,-5123,-3847,-2679,-1619,-677,165,
904,1572,2206,2862,3587,4418,5347,6307,7268,8175,8996,9675,10113,10221,9932,9241,8216,6894,5292,3434,
1370,-779,-2863,-4787,-6496,-7969,-9160,-9992,-10406,-10382,-9974,-9265,-8322,-7200,-5952,-4642,-3363,-2199,-1165,-274,
503,1209,1869,2522,3187,3904,4718,5631,6609,7594,8498,9253,9817,10150,10195,9861,9118,7974,6507,4807,
2931,904,-1218,-3318,-5279,-6981,-8369,-9428,-10147,-10498,-10454,-10007,-9228,-8209,-7054,-5827,-4575,-3355,-2222,-1219,
-359,377,1030,1660,2313,3013,3762,4579,5469,6433,7417,8332,9090,9597,9811,9727,9315,8534,7354,5808,
3993,2016,-29,-2097,-4126,-6056,-7752,-9118,-10100,-10688,-10912,-10784,-10296,-9483,-8406,-7178,-5898,-4632,-3430,-2324,
-1320,-440,315,977,1606,2264,2990,3795,4675,5602,6552,7495,8382,9128,9632,9799,9610,9076,8210,7015,
5484,3663,1639,-453,-2500,-4442,-6237,-7831,-9133,-10053,-10545,-10623,-10346,-9746,-8891,-7794,-6540,-5221,-3935,-2743,
-1676,-731,104,850,1517,2147,2787,3492,4290,5188,6146,7110,8019,8833,9506,9964,10111,9877,9245,8247,
6947,5379,3573,1571,-547,-2638,-4585,-6317,-7788,-8987,-9847,-10309,-10350,-9995,-9308,-8391,-7291,-6079,-4804,-3545,
-2376,-1345,-451,321,1014,1664,2311,2969,3680,4468,5356,6316,7298,8212,8974,9544,9884,9933,9642,8945,
7845,6397,4691,2809,804,-1293,-3383,-5366,-7113,-8537,-9629,-10376,-10761,-10756,-10369,-9628,-8635,-7482,-6257,-5012,
-3797,-2658,-1642,-757,-13,652,1272,1913,2602,3351,4166,5047,5983,6941,7853,8617,9145,9384,9301,8904,
8153,7034,5551,3765,1808,-228,-2279,-4282,-6179,-7874,-9259,-10266,-10871,-11099,-10965,-10504,-9717,-8675,-7465,-6192,
-4927,-3736,-2637,-1660,-786,-35,633,1255,1889,2590,3384,4250,5186,6135,7077,7961,8722,9258,9480,9339,
8834,7990,6829,5349,3580,1593,-485,-2541,-4489,-6273,-7861,-9179,-10137,-10685,-10807,-10554,-9984,-9142,-8082,-6868,
-5572,-4294,-3099,-2026,-1079,-243,500,1186,1829,2487,3192,3989,4885,5854,6834,7764,8588,9259,9725,9902,
9709,9118,8153,6857,5296,3514,1532,-555,-2651,-4623,-6377,-7866,-9065,-9933,-10424,-10502,-10176,-9517,-8597,-7505,
-6292,-5032,-3787,-2607,-1565,-667,111,801,1441,2078,2739,3444,4226,5089,6041,7020,7953,8747,9338,9693,
9771,9510,8876,7841,6448,4775,2921,943,-1102,-3161,-5123,-6866,-8314,-9412,-10153,-10533,-10544,-10182,-9475,-8502,
-7357,-6131,-4898,-3698,-2569,-1550,-669,91,752,1370,2000,2677,3436,4252,5134,6080,7038,7973,8770,9347,
9633,9603,9226,8524,7443,6019,4280,2333,292,-1750,-3747,-5634,-7338,-8753,-9806,-10455,-10710,-10609,-10172,-9429,
-8419,-7233,-5963,-4696,-3499,-2402,-1417,-545,220,897,1530,2168,2859,3644,4514,5444,6404,7343,8222,8976,
9522,9774,9668,9182,8350,7192,5730,3993,2025,-56,-2140,-4116,-5925,-7520,-8850,-9838,-10433,-10607,-10383,-9835,
-9018,-7981,-6789,-5508,-4236,-3040,-1951,-1002,-170,574,1253,1899,2538,3231,4004,4877,5827,6804,7741,8577,
9248,9714,9907,9755,9203,8267,6987,5432,3657,1707,-360,-2451,-4451,-6238,-7759,-8979,-9874,-10405,-10530,-10258,
-9641,-8745,-7667,-6472,-5228,-3982,-2806,-1737,-816,-23,686,1341,1991,2662,3388,4180,5049,5988,6967,7908,
8731,9344,9712,9796,9555,8946,7960,6593,4933,3068,1080,-967,-3015,-4985,-6766,-8260,-9403,-10179,-10594,-10641,
-10316,-9659,-8717,-7578,-6346,-5100,-3885,-2737,-1701,-788,7,707,1351,1995,2685,3447,4280,5174,6111,7069,
7984,8789,9383,9695,9675,9308,8598,7551,6153,4450,2516,467,-1595,-3597,-5492,-7200,-8647,-9746,-10442,-10740,
-10666,-10246,-9545,-8567,-7405,-6140,-4863,-3648,-2529,-1520,-629,165,873,1531,2190,2889,3673,4545,5481,6452,
7399,8278,9028,9582,9857,9781,9320,8487,7334,5877,4153,2211,127,-1972,-3984,-5830,-7445,-8801,-9835,-10487,
-10719,-10547,-10029,-9236,-8224,-7046,-5784,-4507,-3291,-2184,-1207,-354,409,1111,1781,2453,3160,3942,4811,5761,
6742,7690,8531,9210,9668,9859,9720,9194,8273,7003,5436,3654,1697,-377,-2482,-4499,-6339,-7898,-9154,-10074,
-10631,-10803,-10584,-9998,-9127,-8055,-6861,-5610,-4361,-3174,-2082,-1122,-296,441,1113,1778,2474,3217,4018,4898,
5838,6816,7772,8609,9254,9637,9721,9490,8908,7946,6619,4977,3120,1124,-916,-2956,-4915,-6713,-8237,-9411,
-10217,-10650,-10713,-10418,-9781,-8862,-7731,-6496,-5220,-3989,-2821,-1756,-794,34,774,1457,2129,2844,3624,4485,
5408,6361,7327,8256,9079,9708,10052,10061,9723,9034,8003,6643,4975,3065,1018,-1051,-3059,-4947,-6659,-8111,
-9241,-9976,-10305,-10251,-9848,-9149,-8196,-7036,-5772,-4485,-3247,-2107,-1082,-162,644,1376,2056,2726,3427,4197,
5061,6003,6964,7911,8782,9530,10080,10362,10310,9874,9059,7901,6452,4736,2811,734,-1381,-3417,-5288,-6932,
-8300,-9354,-10037,-10319,-10199,-9716,-8942,-7955,-6808,-5574,-4314,-3114,-2005,-1031,-180,570,1257,1921,2586,3283,
4046,4895,5821,6789,7734,8585,9264,9725,9919,9790,9295,8408,7157,5600,3811,1860,-201,-2296,-4325,-6195,
-7797,-9086,-10030,-10618,-10828,-10650,-10107,-9272,-8220,-7037,-5798,-4555,-3374,-2279,-1313,-464,274,958,1624,2319,
3061,3872,4745,5684,6646,7598,8444,9111,9515,9625,9404,8841,7908,6613,5003,3147,1156,-898,-2934,-4891,
-6696,-8247,-9460,-10294,-10748,-10825,-10557,-9950,-9048,-7934,-6694,-5412,-4165,-2994,-1925,-963,-118,624,1312,1980,
2683,3449,4292,5213,6160,7115,8033,8849,9490,9862,9899,9583,8912,7904,6570,4946,3069,1042,-1035,-3062,
-4952,-6663,-8129,-9277,-10051,-10416,-10388,-10011,-9320,-8390,-7269,-6025,-4746,-3509,-2365,-1344,-437,366,1085,1757,
2421,3103,3861,4694,5614,6581,7525,8404,9154,9718,10029,10011,9623,8852,7730,6301,4620,2725,682,-1417,
-3459,-5339,-6995,-8369,-9427,-10134,-10441,-10354,-9899,-9147,-8161,-7028,-5791,-4544,-3338,-2222,-1236,-376,382,1068,
1728,2391,3093,3852,4689,5602,6566,7513,8378,9080,9565,9787,9693,9246,8419,7215,5698,3937,2008,-18,
-2083,-4099,-5957,-7581,-8876,-9827,-10416,-10638,-10484,-9967,-9155,-8111,-6937,-5698,-4470,-3288,-2204,-1244,-403,332,
996,1640,2312,3038,3823,4680,5600,6558,7486,8343,9024,9458,9597,9397,8861,7974,6726,5158,3343,1369,
-676,-2705,-4656,-6446,-8011,-9262,-10125,-10608,-10710,-10458,-9886,-9021,-7935,-6731,-5467,-4232,-3076,-2021,-1084,-253,
484,1151,1808,2483,3223,4043,4943,5885,6831,7738,8553,9202,9602,9675,9393,8747,7756,6452,4849,3005,
992,-1078,-3115,-5013,-6726,-8199,-9363,-10163,-10567,-10567,-10214,-9547,-8630,-7524,-6302,-5027,-3790,-2643,-1618,-712,
85,806,1476,2135,2820,3565,4395,5304,6267,7229,8111,8880,9455,9786,9806,9464,8737,7651,6248,4593,
2729,725,-1347,-3376,-5260,-6922,-8299,-9355,-10060,-10383,-10310,-9877,-9130,-8149,-7014,-5787,-4534,-3322,-2195,-1200,
-325,439,1126,1785,2453,3149,3916,4747,5655,6614,7583,8464,9193,9709,9950,9881,9463,8674,7519,6030,
4289,2376,360,-1687,-3692,-5555,-7192,-8520,-9493,-10100,-10331,-10198,-9720,-8926,-7898,-6731,-5496,-4261,-3086,-1997,
-1024,-172,578,1250,1896,2561,3284,4073,4929,5838,6786,7715,8563,9262,9713,9867,9687,9153,8272,7044,
5496,3689,1702,-358,-2400,-4368,-6180,-7763,-9048,-9965,-10489,-10625,-10399,-9858,-9027,-7973,-6776,-5531,-4287,-3131,
-2075,-1134,-300,440,1117,1763,2431,3161,3968,4848,5783,6722,7624,8418,9068,9466,9562,9300,8660,7681,
6382,4795,2964,965,-1108,-3155,-5082,-6819,-8303,-9496,-10329,-10768,-10815,-10489,-9851,-8954,-7868,-6661,-5404,-4157,
-3002,-1956,-1040,-225,506,1195,1867,2563,3310,4141,5046,6009,6976,7881,8652,9245,9589,9633,9319,8623,
7565,6183,4532,2689,699,-1352,-3390,-5296,-6977,-8383,-9462,-10194,-10552,-10524,-10121,-9405,-8439,-7305,-6078,-4823,
-3593,-2451,-1419,-515,277,998,1680,2368,3091,3871,4718,5629,6588,7554,8449,9193,9714,9968,9908,9507,
8739,7609,6142,4404,2491,471,-1576,-3588,-5463,-7126,-8481,-9499,-10132,-10398,-10292,-9845,-9082,-8082,-6916,-5681,
-4439,-3245,-2139,-1144,-268,505,1208,1868,2539,3268,4055,4917,5828,6766,7687,8532,9230,9693,9857,9689,
9166,8295,7089,5564,3768,1794,-274,-2335,-4309,-6134,-7737,-9051,-10004,-10570,-10740,-10547,-10024,-9228,-8193,-7010,
-5760,-4515,-3336,-2259,-1298,-445,319,1019,1690,2369,3106,3912,4801,5736,6679,7586,8394,9036,9454,9573,
9333,8725,7759,6468,4894,3082,1106,-974,-3024,-4974,-6735,-8238,-9451,-10322,-10802,-10884,-10585,-9968,-9089,-8014,
-6806,-5543,-4295,-3109,-2044,-1094,-255,497,1210,1903,2618,3383,4219,5126,6084,7054,7967,8749,9340,9683,
9733,9443,8776,7733,6370,4724,2877,896,-1157,-3188,-5112,-6820,-8257,-9361,-10120,-10502,-10507,-10138,-9447,-8501,
-7379,-6153,-4895,-3663,-2506,-1454,-526,292,1025,1724,2417,3147,3932,4780,5694,6644,7604,8499,9258,9793,
10058,10004,9614,8859,7747,6308,4587,2672,648,-1400,-3404,-5288,-6964,-8359,-9400,-10071,-10359,-10281,-9855,-9121,
-8137,-6986,-5743,-4498,-3297,-2180,-1173,-271,518,1234,1912,2595,3315,4113,4973,5889,6824,7745,8593,9294,
9776,9971,9821,9323,8466,7275,5778,4008,2047,-8,-2074,-4055,-5890,-7495,-8821,-9803,-10402,-10598,-10424,-9915,
-9129,-8120,-6948,-5694,-4453,-3260,-2175,-1196,-330,442,1150,1827,2515,3248,4051,4929,5863,6810,7721,8531,
9180,9597,9738,9529,8947,8003,6731,5174,3379,1409,-651,-2715,-4673,-6458,-7984,-9216,-10108,-10627,-10747,-10492,
-9897,-9044,-7986,-6805,-5552,-4312,-3131,-2057,-1103,-258,494,1198,1892,2600,3356,4179,5068,6019,6971,7879,
8663,9254,9603,9664,9383,8734,7713,6359,4727,2882,897,-1154,-3196,-5130,-6872,-8342,-9485,-10266,-10690,-10725,
-10399,-9749,-8829,-7717,-6507,-5257,-4038,-2872,-1820,-885,-64,671,1367,2059,2780,3554,4401,5304,6247,7191,
8077,8834,9387,9667,9630,9256,8525,7443,6030,4334,2431,415,-1631,-3631,-5516,-7202,-8607,-9676,-10368,-10684,
-10618,-10218,-9500,-8538,-7399,-6165,-4905,-3700,-2570,-1550,-643,162,888,1570,2258,2981,3774,4637,5559,6501,
7426,8281,9001,9507,9738,9626,9162,8345,7187,5728,4003,2075,40,-2021,-3999,-5817,-7434,-8761,-9761,-10376,
-10610,-10450,-9956,-9179,-8178,-7020,-5780,-4522,-3328,-2224,-1241,-363,413,1133,1810,2502,3230,4025,4897,5825,
6772,7688,8506,9169,9606,9770,9597,9056,8147,6900,5365,3599,1658,-388,-2437,-4401,-6190,-7737,-8980,-9887,
-10422,-10585,-10350,-9783,-8944,-7898,-6725,-5485,-4246,-3069,-1989,-1030,-186,565,1262,1943,2642,3384,4190,5066,
5994,6944,7848,8640,9254,9622,9696,9448,8835,7862,6543,4938,3115,1151,-881,-2904,-4832,-6577,-8066,-9228,
-10031,-10469,-10533,-10235,-9610,-8708,-7616,-6418,-5171,-3947,-2799,-1744,-811,17,755,1438,2122,2830,3594,4425,
5315,6247,7187,8071,8843,9418,9722,9720,9378,8689,7646,6273,4621,2751,756,-1277,-3263,-5145,-6833,-8251,
-9343,-10058,-10396,-10357,-9968,-9281,-8337,-7215,-5992,-4737,-3530,-2408,-1384,-478,324,1043,1724,2402,3111,3880,
4734,5642,6584,7506,8360,9081,9603,9851,9777,9342,8551,7419,5985,4287,2390,364,-1684,-3667,-5496,-7114,
-8458,-9477,-10128,-10384,-10266,-9795,-9047,-8065,-6933,-5712,-4468,-3282,-2179,-1196,-329,443,1144,1817,2492,3212,
3984,4838,5748,6692,7606,8428,9092,9547,9725,9572,9067,8193,6973,5458,3710,1789,-238,-2285,-4252,-6052,
-7611,-8873,-9796,-10355,-10542,-10347,-9804,-8988,-7959,-6802,-5573,-4345,-3168,-2091,-1124,-278,479,1175,1848,2547,
3286,4086,4955,5877,6822,7731,8535,9167,9562,9654,9433,8853,7915,6634,5052,3252,1300,-722,-2733,-4658,
-6412,-7912,-9094,-9923,-10380,-10459,-10187,-9581,-8708,-7631,-6433,-5195,-3967,-2813,-1760,-804,28,775,1464,2147,
2853,3619,4444,5338,6272,7207,8094,8869,9464,9796,9812,9500,8827,7816,6474,4848,2996,1012,-1024,-3021,
-4896,-6588,-8027,-9149,-9897,-10268,-10258,-9904,-9235,-8324,-7225,-6017,-4776,-3565,-2441,-1422,-509,301,1028,1705,
2382,3086,3851,4687,5594,6522,7447,8295,9022,9549,9821,9758,9363,8583,7476,6053,4378,2490,476,-1580,
-3566,-5419,-7053,-8418,-9462,-10145,-10435,-10346,-9919,-9184,-8230,-7107,-5896,-4668,-3473,-2371,-1384,-507,271,981,
1657,2336,3052,3826,4668,5581,6520,7441,8266,8947,9415,9612,9478,9007,8161,6974,5484,3746,1836,-173,
-2210,-4172,-5987,-7559,-8845,-9796,-10371,-10577,-10413,-9899,-9104,-8092,-6937,-5716,-4491,-3307,-2222,-1243,-384,379,
1082,1759,2451,3196,3996,4861,5781,6727,7637,8450,9100,9510,9630,9424,8875,7968,6716,5168,3377,1435,
-577,-2593,-4518,-6283,-7804,-9015,-9878,-10361,-10473,-10233,-9658,-8810,-7760,-6572,-5342,-4120,-2963,-1908,-955,-111,
647,1339,2015,2717,3475,4294,5182,6107,7034,7925,8698,9298,9651,9694,9391,8747,7746,6427,4826,2990,
1010,-1021,-3034,-4922,-6632,-8094,-9244,-10032,-10443,-10464,-10139,-9507,-8619,-7541,-6345,-5110,-3900,-2767,-1737,-818,
4,742,1435,2116,2823,3586,4416,5316,6256,7180,8043,8772,9307,9596,9566,9190,8455,7368,5970,4310,
2445,449,-1596,-3597,-5458,-7108,-8488,-9554,-10267,-10591,-10533,-10125,-9421,-8471,-7357,-6150,-4914,-3710,-2581,-1570,
-672,133,860,1549,2244,2971,3760,4612,5521,6470,7395,8245,8938,9421,9643,9543,9096,8290,7132,5667,
3950,2056,55,-1971,-3939,-5768,-7360,-8663,-9634,-10242,-10475,-10336,-9858,-9081,-8079,-6932,-5702,-4475,-3285,-2174,
-1185,-304,481,1205,1894,2593,3341,4149,5010,5931,6879,7787,8613,9274,9701,9838,9654,9119,8239,7007,
5482,3703,1768,-252,-2268,-4201,-5979,-7526,-8770,-9664,-10188,-10332,-10113,-9576,-8748,-7719,-6545,-5315,-4097,-2934,
-1862,-899,-40,729,1435,2119,2826,3585,4402,5289,6220,7151,8039,8816,9425,9786,9853,9572,8940,7968,
6663,5076,3256,1279,-759,-2774,-4685,-6413,-7896,-9069,-9893,-10337,-10397,-10096,-9493,-8626,-7568,-6385,-5146,-3934,
-2791,-1746,-815,17,769,1477,2174,2885,3655,4491,5395,6327,7274,8134,8873,9424,9727,9720,9368,8655,
7594,6211,4567,2715,729,-1312,-3315,-5196,-6863,-8268,-9353,-10086,-10444,-10427,-10051,-9364,-8441,-7341,-6138,-4904,
-3703,-2569,-1541,-631,181,925,1626,2330,3060,3845,4702,5612,6552,7483,8336,9041,9534,9767,9680,9254,
8464,7329,5879,4172,2285,289,-1738,-3715,-5553,-7168,-8510,-9505,-10141,-10411,-10305,-9851,-9109,-8124,-6993,-5772,
-4545,-3357,-2244,-1241,-352,449,1176,1871,2579,3322,4123,4995,5910,6845,7759,8584,9251,9689,9844,9674,
9156,8289,7085,5572,3817,1882,-137,-2159,-4100,-5899,-7458,-8732,-9659,-10215,-10395,-10203,-9690,-8900,-7884,-6727,
-5501,-4276,-3111,-2032,-1061,-192,587,1307,1996,2701,3456,4269,5154,6077,7007,7893,8681,9292,9674,9756,
9504,8891,7927,6646,5075,3273,1308,-733,-2755,-4674,-6419,-7916,-9120,-9973,-10452,-10553,-10286,-9705,-8857,-7810,
-6640,-5412,-4201,-3047,-1999,-1053,-220,541,1252,1949,2663,3420,4248,5140,6072,7000,7869,8618,9178,9485,
9494,9170,8479,7435,6080,4445,2611,631,-1405,-3413,-5305,-7000,-8416,-9529,-10286,-10678,-10689,-10342,-9680,-8777,
-7688,-6494,-5265,-4057,-2919,-1879,-951,-136,616,1323,2027,2753,3536,4385,5291,6228,7154,8012,8732,9243,
9489,9428,9027,8269,7164,5744,4054,2180,193,-1831,-3802,-5650,-7284,-8635,-9662,-10323,-10616,-10537,-10112,-9388,
-8431,-7296,-6083,-4848,-3651,-2534,-1518,-608,197,937,1641,2352,3098,3896,4767,5682,6615,7539,8367,9047,
9510,9691,9549,9063,8228,7052,5575,3843,1930,-80,-2095,-4042,-5840,-7414,-8698,-9652,-10235,-10433,-10268,-9770,
-9004,-8006,-6853,-5636,-4403,-3231,-2145,-1163,-283,498,1227,1924,2633,3380,4189,5069,5988,6920,7810,8604,
9231,9630,9739,9514,8938,8007,6752,5213,3435,1493,-536,-2556,-4477,-6227,-7744,-8953,-9832,-10333,-10462,-10222,
-9659,-8828,-7806,-6641,-5421,-4205,-3052,-1994,-1041,-194,566,1283,1985,2693,3454,4270,5153,6080,7005,7882,
8642,9215,9543,9578,9278,8624,7612,6280,4675,2855,893,-1134,-3137,-5032,-6732,-8182,-9308,-10089,-10504,-10546,
-10228,-9589,-8700,-7632,-6448,-5224,-4016,-2883,-1841,-907,-77,672,1381,2080,2812,3590,4431,5334,6265,7191,
8061,8786,9312,9579,9536,9161,8435,7361,5963,4305,2440,467,-1553,-3525,-5376,-7024,-8396,-9446,-10130,-10434,
-10388,-9995,-9292,-8350,-7244,-6034,-4808,-3612,-2497,-1484,-576,243,980,1689,2391,3132,3928,4792,5702,6642,
7551,8389,9083,9559,9765,9645,9181,8365,7218,5761,4053,2155,157,-1867,-3809,-5613,-7200,-8508,-9480,-10090,
-10312,-10176,-9705,-8949,-7971,-6844,-5627,-4399,-3224,-2136,-1150,-273,526,1248,1952,2659,3408,4210,5079,6000,
6937,7829,8628,9272,9682,9820,9623,9069,8165,6932,5411,3655,1727,-287,-2308,-4242,-5997,-7524,-8765,-9654,
-10186,-10335,-10124,-9586,-8768,-7762,-6613,-5394,-4180,-3020,-1956,-996,-136,632,1347,2049,2760,3520,4334,5208,
6130,7064,7938,8709,9287,9631,9687,9406,8775,7797,6482,4896,3089,1142,-882,-2887,-4789,-6508,-7974,-9131,
-9942,-10385,-10456,-10175,-9567,-8702,-7650,-6481,-5259,-4054,-2913,-1866,-924,-86,677,1384,2090,2814,3593,4427,
5317,6241,7166,8022,8760,9294,9575,9544,9181,8471,7418,6037,4393,2539,559,-1464,-3448,-5310,-6983,-8387,
-9472,-10193,-10539,-10520,-10161,-9492,-8577,-7484,-6286,-5060,-3864,-2734,-1709,-786,40,796,1505,2218,2960,3758,
4616,5524,6462,7370,8202,8905,9393,9611,9504,9059,8262,7132,5694,3999,2113,113,-1907,-3869,-5686,-7284,
-8621,-9624,-10258,-10521,-10413,-9971,-9238,-8272,-7148,-5938,-4704,-3519,-2404,-1404,-504,310,1057,1770,2498,3253,
4065,4939,5861,6798,7704,8505,9159,9588,9741,9561,9039,8160,6952,5447,3708,1796,-208,-2229,-4165,-5941,
-7480,-8740,-9657,-10212,-10394,-10211,-9692,-8900,-7897,-6752,-5534,-4306,-3129,-2047,-1062,-181,617,1354,2067,2801,
3563,4393,5273,6196,7133,8017,8789,9391,9747,9822,9561,8959,7998,6708,5133,3343,1400,-613,-2622,-4540,
-6274,-7756,-8945,-9784,-10248,-10345,-10092,-9514,-8673,-7627,-6461,-5244,-4027,-2873,-1807,-850,6,779,1504,2217,
2952,3729,4570,5455,6375,7300,8157,8893,9440,9732,9722,9371,8677,7645,6290,4651,2815,840,-1180,-3167,
-5047,-6729,-8157,-9267,-10019,-10397,-10407,-10074,-9434,-8538,-7456,-6276,-5045,-3845,-2717,-1682,-750,83,846,1566,
2278,3023,3806,4663,5563,6489,7401,8236,8935,9433,9663,9588,9157,8380,7268,5854,4173,2298,309,-1710,
-3680,-5508,-7128,-8472,-9508,-10171,-10462,-10382,-9960,-9251,-8315,-7200,-6000,-4776,-3579,-2465,-1451,-546,269,1023,
1738,2456,3208,4012,4881,5792,6726,7630,8437,9092,9532,9698,9545,9046,8194,7002,5516,3785,1893,-106,
-2119,-4060,-5852,-7410,-8686,-9628,-10206,-10417,-10256,-9768,-8999,-8005,-6870,-5666,-4445,-3269,-2171,-1182,-300,493,
1233,1941,2661,3425,4241,5114,6028,6951,7842,8619,9231,9603,9693,9461,8877,7941,6679,5131,3349,1426,
-579,-2579,-4494,-6242,-7744,-8944,-9805,-10294,-10416,-10185,-9627,-8803,-7775,-6616,-5401,-4194,-3043,-1975,-1014,-160,
618,1343,2051,2777,3550,4380,5265,6183,7099,7962,8709,9269,9587,9605,9283,8621,7615,6290,4689,2864,
913,-1096,-3074,-4947,-6638,-8072,-9194,-9974,-10367,-10407,-10088,-9467,-8593,-7529,-6349,-5134,-3930,-2797,-1754,-817,
22,783,1507,2213,2950,3730,4580,5480,6403,7315,8161,8865,9380,9640,9587,9194,8447,7365,5977,4331,
2478,510,-1504,-3465,-5299,-6927,-8290,-9333,-10028,-10339,-10286,-9893,-9204,-8285,-7194,-5998,-4782,-3594,-2473,-1461,
-550,265,1016,1734,2448,3190,3990,4845,5749,6676,7577,8395,9057,9510,9698,9570,9098,8272,7112,5656,
3957,2074,96,-1911,-3858,-5654,-7228,-8522,-9482,-10089,-10322,-10190,-9719,-8980,-8001,-6886,-5682,-4473,-3300,-2211,
-1218,-334,464,1197,1911,2626,3378,4185,5048,5954,6875,7759,8550,9167,9561,9677,9470,8919,8016,6789,
5268,3517,1607,-384,-2377,-4289,-6042,-7560,-8776,-9653,-10174,-10312,-10107,-9580,-8777,-7767,-6622,-5414,-4212,-3055,
-1994,-1027,-170,607,1325,2025,2742,3501,4324,5197,6106,7020,7882,8635,9217,9552,9598,9307,8674,7704,
6407,4837,3046,1105,-891,-2877,-4749,-6446,-7900,-9042,-9845,-10275,-10329,-10042,-9442,-8591,-7554,-6393,-5183,-3990,
-2852,-1815,-883,-49,711,1423,2122,2841,3613,4441,5334,6248,7152,7992,8711,9236,9507,9480,9113,8396,
7345,5979,4354,2527,565,-1435,-3402,-5245,-6893,-8274,-9339,-10053,-10406,-10378,-10017,-9349,-8450,-7380,-6201,-4989,
-3809,-2688,-1674,-760,54,800,1514,2223,2961,3751,4597,5499,6417,7316,8130,8813,9281,9491,9386,8945,
8156,7019,5583,3908,2044,72,-1923,-3869,-5667,-7257,-8564,-9547,-10180,-10442,-10335,-9896,-9168,-8211,-7110,-5913,
-4702,-3532,-2429,-1429,-535,267,1009,1719,2441,3188,4001,4863,5771,6696,7581,8376,9017,9431,9566,9389,
8867,8000,6796,5302,3573,1674,-305,-2291,-4208,-5969,-7499,-8733,-9632,-10178,-10354,-10168,-9661,-8875,-7883,-6746,
-5541,-4333,-3177,-2096,-1123,-250,542,1269,1981,2708,3469,4292,5169,6082,6998,7866,8633,9222,9572,9637,
9370,8760,7807,6533,4980,3201,1274,-728,-2710,-4591,-6301,-7771,-8939,-9761,-10222,-10316,-10045,-9470,-8637,-7609,
-6454,-5245,-4044,-2902,-1851,-902,-47,725,1449,2165,2900,3676,4511,5399,6323,7230,8079,8800,9339,9622,
9618,9273,8576,7543,6193,4576,2766,808,-1193,-3164,-5017,-6673,-8082,-9173,-9916,-10287,-10300,-9961,-9320,-8430,
-7371,-6203,-4984,-3796,-2669,-1634,-700,134,897,1622,2343,3089,3875,4732,5631,6555,7456,8277,8966,9447,
9667,9578,9159,8383,7268,5850,4177,2332,356,-1646,-3593,-5417,-7023,-8376,-9384,-10037,-10331,-10262,-9850,-9150,
-8215,-7121,-5931,-4718,-3539,-2434,-1421,-509,311,1057,1781,2509,3268,4073,4933,5843,6757,7650,8449,9092,
9519,9663,9494,8989,8134,6948,5464,3740,1847,-139,-2139,-4059,-5831,-7387,-8664,-9600,-10171,-10378,-10227,-9745,
-8991,-8019,-6901,-5702,-4494,-3331,-2250,-1258,-371,433,1177,1894,2623,3386,4206,5083,5991,6907,7772,8534,
9136,9498,9571,9324,8728,7795,6535,4995,3233,1308,-696,-2683,-4583,-6310,-7798,-9001,-9860,-10350,-10476,-10246,
-9696,-8889,-7870,-6734,-5530,-4327,-3176,-2113,-1142,-280,513,1252,1969,2715,3490,4321,5213,6130,7044,7889,
8620,9164,9465,9469,9149,8478,7466,6136,4535,2729,788,-1212,-3186,-5052,-6727,-8148,-9271,-10044,-10453,-10501,
-10184,-9571,-8707,-7654,-6493,-5280,-4074,-2939,-1891,-940,-89,695,1428,2161,2915,3712,4556,5463,6382,7290,
8120,8816,9309,9543,9472,9075,8324,7236,5845,4190,2345,390,-1618,-3565,-5391,-7016,-8372,-9410,-10099,-10416,
-10376,-9995,-9314,-8398,-7311,-6127,-4914,-3721,-2601,-1574,-645,195,969,1701,2439,3207,4019,4883,5797,6722,
7615,8421,9072,9517,9682,9533,9051,8217,7059,5598,3892,2007,25,-1974,-3899,-5688,-7258,-8549,-9514,-10124,
-10350,-10231,-9776,-9038,-8080,-6967,-5776,-4562,-3383,-2289,-1287,-375,448,1206,1940,2672,3453,4276,5149,6072,
6988,7866,8632,9239,9613,9714,9484,8910,7992,6754,5226,3473,1554,-442,-2441,-4347,-6089,-7605,-8822,-9711,
-10238,-10390,-10189,-9671,-8876,-7880,-6751,-5549,-4344,-3180,-2110,-1129,-242,559,1311,2039,2782,3562,4398,5283,
6204,7110,7967,8697,9250,9562,9582,9274,8623,7625,6314,4724,2924,986,-1014,-2999,-4870,-6572,-8018,-9162,
-9967,-10403,-10475,-10198,-9606,-8760,-7727,-6573,-5372,-4171,-3024,-1973,-1010,-148,641,1385,2120,2869,3671,4519,
5410,6334,7242,8080,8781,9285,9533,9485,9104,8381,7316,5944,4314,2478,525,-1468,-3425,-5258,-6899,-8275,
-9333,-10051,-10397,-10379,-10022,-9361,-8463,-7387,-6211,-4999,-3809,-2676,-1644,-706,146,923,1663,2396,3161,3977,
4839,5748,6670,7566,8382,9048,9503,9695,9572,9109,8311,7176,5743,4057,2190,224,-1764,-3702,-5491,-7068,
-8373,-9363,-9986,-10248,-10146,-9713,-8993,-8051,-6950,-5761,-4558,-3375,-2273,-1264,-353,472,1239,1971,2704,3468,
4293,5165,6071,6992,7870,8647,9261,9657,9777,9579,9036,8152,6942,5450,3713,1816,-170,-2158,-4072,-5817,
-7343,-8577,-9484,-10033,-10206,-10030,-9535,-8767,-7784,-6668,-5476,-4278,-3116,-2042,-1064,-178,625,1369,2093,2829,
3598,4428,5300,6211,7120,7975,8718,9280,9614,9662,9390,8766,7805,6524,4963,3187,1272,-715,-2686,-4569,
-6268,-7728,-8883,-9712,-10170,-10263,-10009,-9445,-8617,-7603,-6460,-5264,-4073,-2930,-1870,-924,-60,726,1466,2193,
2929,3720,4554,5438,6353,7258,8090,8803,9318,9593,9568,9214,8516,7488,6145,4542,2726,786,-1202,-3145,
-4991,-6631,-8024,-9105,-9843,-10213,-10225,-9892,-9262,-8387,-7336,-6168,-4969,-3788,-2668,-1633,-708,143,916,1648,
2373,3122,3922,4776,5665,6576,7471,8283,8956,9417,9628,9525,9086,8314,7205,5798,4138,2287,327,-1664,
-3596,-5395,-6984,-8311,-9315,-9975,-10267,-10193,-9788,-9106,-8182,-7099,-5928,-4728,-3562,-2463,-1452,-547,277,1037,
1765,2489,3248,4051,4915,5815,6724,7599,8378,9005,9409,9543,9372,8854,7993,6812,5337,3629,1742,-227,
-2207,-4120,-5882,-7413,-8671,-9593,-10167,-10372,-10227,-9746,-9000,-8036,-6933,-5747,-4552,-3400,-2314,-1329,-446,362,
1110,1836,2575,3334,4159,5030,5938,6847,7710,8457,9039,9392,9463,9218,8626,7693,6448,4917,3169,1267,
-707,-2674,-4550,-6259,-7729,-8905,-9744,-10232,-10349,-10117,-9571,-8771,-7759,-6628,-5433,-4239,-3097,-2036,-1067,-207,
590,1333,2059,2802,3581,4417,5308,6219,7122,7964,8687,9224,9517,9510,9187,8519,7517,6205,4620,2832,
907,-1073,-3014,-4865,-6522,-7927,-9032,-9785,-10186,-10219,-9914,-9304,-8457,-7412,-6260,-5064,-3887,-2760,-1723,-786,
56,837,1571,2296,3040,3830,4673,5567,6473,7364,8182,8858,9346,9567,9489,9080,8327,7241,5858,4218,
2392,439,-1544,-3477,-5284,-6891,-8233,-9256,-9936,-10255,-10206,-9826,-9158,-8262,-7189,-6026,-4829,-3663,-2561,-1554,
-637,185,951,1673,2393,3148,3945,4799,5692,6601,7477,8267,8906,9328,9483,9330,8844,8012,6859,5414,
3721,1863,-102,-2080,-3986,-5751,-7296,-8564,-9510,-10102,-10332,-10204,-9749,-9013,-8072,-6971,-5795,-4597,-3441,-2358,
-1367,-472,332,1082,1811,2542,3307,4126,4992,5897,6799,7666,8425,9022,9392,9481,9260,8697,7789,6570,
5069,3335,1449,-520,-2485,-4360,-6080,-7563,-8751,-9617,-10122,-10267,-10062,-9536,-8742,-7761,-6628,-5443,-4252,-3107,
-2044,-1072,-200,587,1339,2060,2797,3576,4403,5280,6185,7083,7929,8654,9206,9510,9526,9222,8580,7597,
6302,4742,2966,1049,-927,-2880,-4724,-6400,-7826,-8949,-9736,-10161,-10223,-9947,-9359,-8525,-7504,-6361,-5172,-3988,
-2867,-1824,-884,-25,750,1489,2211,2959,3744,4578,5468,6376,7263,8086,8768,9265,9508,9454,9065,8335,
7272,5917,4297,2481,539,-1439,-3381,-5192,-6816,-8179,-9229,-9931,-10273,-10254,-9906,-9257,-8373,-7319,-6163,-4973,
-3797,-2688,-1667,-741,96,864,1609,2340,3101,3895,4752,5648,6560,7440,8240,8890,9328,9506,9378,8910,
8108,6972,5545,3873,2025,74,-1904,-3819,-5594,-7162,-8451,-9421,-10046,-10303,-10212,-9785,-9080,-8153,-7066,-5894,
-4696,-3532,-2442,-1437,-529,301,1064,1804,2543,3323,4139,5006,5913,6824,7689,8463,9066,9453,9557,9347,
8800,7919,6708,5219,3495,1613,-350,-2324,-4217,-5952,-7467,-8691,-9582,-10125,-10304,-10135,-9645,-8878,-7910,-6804,
-5617,-4424,-3276,-2192,-1212,-318,496,1250,1995,2743,3531,4363,5245,6156,7064,7901,8642,9192,9514,9545,
9255,8626,7670,6384,4836,3067,1158,-821,-2782,-4650,-6337,-7795,-8945,-9766,-10221,-10317,-10073,-9520,-8708,-7698,
-6565,-5372,-4182,-3045,-1989,-1021,-144,653,1414,2160,2918,3721,4559,5451,6365,7261,8084,8785,9287,9544,
9510,9135,8426,7382,6033,4428,2619,682,-1300,-3248,-5077,-6718,-8109,-9188,-9921,-10299,-10308,-9989,-9367,-8495,
-7452,-6306,-5104,-3924,-2791,-1752,-805,57,850,1599,2349,3120,3934,4789,5688,6605,7489,8288,8944,9394,
9590,9468,9024,8238,7118,5700,4041,2194,246,-1735,-3666,-5458,-7045,-8361,-9365,-10017,-10308,-10240,-9843,-9160,
-8244,-7169,-6004,-4803,-3629,-2521,-1505,-589,256,1037,1785,2540,3318,4138,5003,5908,6819,7690,8459,9069,
9463,9588,9391,8864,7997,6808,5329,3620,1738,-221,-2205,-4105,-5856,-7379,-8640,-9555,-10124,-10328,-10183,-9719,
-8975,-8017,-6918,-5736,-4540,-3383,-2293,-1303,-397,429,1197,1943,2693,3481,4316,5184,6091,6995,7845,8582,
9156,9488,9538,9268,8655,7714,6456,4921,3170,1267,-709,-2673,-4547,-6244,-7713,-8887,-9732,-10211,-10326,-10103,
-9568,-8770,-7769,-6649,-5458,-4264,-3116,-2053,-1078,-196,620,1377,2125,2886,3682,4528,5409,6321,7223,8052,
8753,9274,9551,9532,9187,8495,7483,6154,4566,2783,861,-1119,-3066,-4902,-6550,-7951,-9052,-9809,-10208,-10244,
-9941,-9342,-8494,-7460,-6320,-5125,-3941,-2811,-1766,-815,52,848,1605,2348,3121,3925,4779,5674,6581,7469,
8272,8939,9409,9611,9519,9098,8334,7244,5850,4203,2383,444,-1532,-3462,-5264,-6859,-8190,-9220,-9889,-10207,
-10163,-9792,-9128,-8240,-7174,-6018,-4821,-3653,-2540,-1523,-593,250,1037,1780,2534,3303,4117,4982,5882,6784,
7654,8429,9055,9464,9604,9438,8929,8087,6926,5471,3782,1929,-32,-2001,-3908,-5669,-7209,-8472,-9422,-10010,
-10242,-10125,-9683,-8964,-8032,-6943,-5771,-4577,-3419,-2333,-1331,-432,404,1169,1913,2664,3447,4271,5149,6051,
6948,7802,8545,9124,9476,9545,9300,8714,7796,6567,5058,3323,1433,-528,-2489,-4364,-6079,-7555,-8753,-9619,
-10129,-10278,-10081,-9567,-8795,-7815,-6704,-5524,-4332,-3187,-2114,-1137,-249,565,1333,2075,2831,3627,4460,5347,
6253,7148,7975,8684,9214,9507,9505,9181,8518,7530,6229,4662,2886,974,-995,-2935,-4786,-6447,-7866,-8985,
-9771,-10195,-10258,-9986,-9411,-8583,-7566,-6431,-5241,-4057,-2929,-1873,-916,-44,758,1515,2260,3026,3831,4678,
5572,6475,7358,8165,8835,9315,9542,9467,9067,8327,7258,5886,4266,2450,527,-1445,-3375,-5183,-6794,-8148,
-9187,-9889,-10231,-10215,-9868,-9228,-8354,-7304,-6154,-4965,-3788,-2672,-1644,-711,145,930,1683,2428,3199,4015,
4872,5769,6666,7535,8320,8947,9370,9528,9380,8902,8081,6943,5516,3838,1991,46,-1922,-3826,-5595,-7149,
-8434,-9397,-10019,-10268,-10179,-9758,-9062,-8143,-7065,-5896,-4712,-3543,-2448,-1440,-531,304,1082,1826,2576,3358,
4182,5056,5949,6846,7703,8455,9044,9411,9501,9284,8726,7832,6621,5135,3421,1546,-412,-2372,-4247,-5976,
-7465,-8678,-9564,-10103,-10273,-10096,-9605,-8849,-7889,-6784,-5605,-4420,-3267,-2193,-1202,-311,504,1275,2025,2775,
3568,4406,5282,6185,7081,7919,8639,9175,9484,9509,9217,8580,7607,6335,4790,3032,1132,-821,-2768,-4617,
-6291,-7724,-8858,-9667,-10115,-10208,-9953,-9394,-8590,-7592,-6466,-5283,-4107,-2966,-1915,-953,-78,729,1488,2237,
2995,3796,4644,5528,6430,7314,8128,8817,9305,9550,9503,9130,8417,7376,6028,4436,2632,717,-1250,-3178,
-4985,-6612,-7981,-9044,-9767,-10134,-10145,-9822,-9202,-8349,-7318,-6177,-4992,-3825,-2709,-1678,-735,118,904,1659,
2408,3172,3983,4841,5729,6631,7501,8291,8937,9367,9547,9426,8973,8182,7068,5661,4014,2185,242,-1716,
-3625,-5394,-6966,-8265,-9253,-9894,-10183,-10107,-9713,-9031,-8135,-7073,-5909,-4724,-3567,-2467,-1458,-538,304,1081,
1833,2582,3361,4186,5051,5949,6853,7705,8468,9069,9452,9566,9375,8838,7974,6787,5322,3628,1766,-181,
-2132,-4017,-5747,-7260,-8489,-9393,-9955,-10159,-10006,-9545,-8805,-7861,-6774,-5601,-4419,-3271,-2185,-1193,-287,538,
1311,2064,2825,3609,4444,5317,6222,7115,7953,8681,9232,9550,9597,9323,8707,7764,6507,4979,3242,1353,
-601,-2551,-4406,-6096,-7549,-8713,-9536,-10024,-10144,-9920,-9386,-8605,-7620,-6518,-5338,-4159,-3029,-1961,-993,-103,
707,1473,2222,2985,3775,4625,5499,6402,7280,8092,8783,9282,9529,9498,9139,8445,7421,6092,4508,2725,
806,-1154,-3087,-4912,-6552,-7944,-9043,-9797,-10194,-10234,-9945,-9360,-8518,-7508,-6378,-5195,-4030,-2908,-1861,-914,
-41,755,1513,2266,3037,3842,4696,5589,6482,7351,8140,8787,9238,9425,9317,8884,8107,7015,5621,3986,
2165,231,-1731,-3648,-5429,-7017,-8352,-9363,-10029,-10346,-10308,-9935,-9287,-8399,-7351,-6201,-5016,-3852,-2751,-1723,
-793,63,852,1609,2369,3143,3966,4837,5731,6630,7485,8250,8856,9256,9380,9199,8695,7845,6677,5230,
3546,1697,-251,-2206,-4097,-5838,-7368,-8629,-9558,-10141,-10375,-10260,-9821,-9099,-8174,-7100,-5935,-4752,-3592,-2508,
-1498,-592,245,1022,1777,2538,3328,4155,5036,5938,6836,7672,8406,8966,9301,9360,9108,8519,7597,6363,
4851,3131,1258,-704,-2647,-4508,-6205,-7675,-8860,-9714,-10212,-10364,-10169,-9653,-8892,-7918,-6823,-5655,-4474,-3334,
-2269,-1281,-387,435,1203,1956,2726,3524,4361,5243,6144,7032,7851,8550,9066,9348,9332,9009,8340,7348,
6052,4489,2727,830,-1127,-3052,-4877,-6525,-7928,-9043,-9811,-10231,-10295,-10020,-9450,-8630,-7625,-6502,-5325,-4152,
-3025,-1978,-1013,-139,671,1436,2195,2966,3779,4625,5522,6420,7301,8094,8758,9228,9440,9357,8959,8218,
7153,5792,4180,2384,470,-1492,-3401,-5185,-6779,-8122,-9155,-9848,-10173,-10172,-9818,-9182,-8313,-7274,-6138,-4956,
-3780,-2679,-1653,-707,147,943,1701,2456,3239,4050,4911,5808,6710,7577,8341,8955,9375,9527,9367,8890,
8070,6933,5506,3843,2007,73,-1876,-3771,-5521,-7058,-8330,-9289,-9897,-10152,-10055,-9641,-8945,-8036,-6971,-5823,
-4640,-3479,-2395,-1379,-463,373,1158,1916,2673,3463,4291,5154,6060,6953,7802,8537,9112,9462,9544,9316,
8750,7859,6653,5161,3454,1591,-346,-2300,-4155,-5873,-7346,-8552,-9425,-9950,-10122,-9956,-9467,-8717,-7763,-6669,
-5506,-4332,-3175,-2108,-1123,-214,616,1391,2147,2912,3712,4554,5431,6331,7221,8042,8746,9276,9572,9584,
9273,8631,7660,6383,4837,3086,1201,-748,-2683,-4511,-6174,-7592,-8727,-9527,-9972,-10058,-9816,-9267,-8468,-7477,
-6363,-5195,-4021,-2890,-1839,-870,21,832,1604,2355,3124,3936,4788,5670,6570,7447,8243,8908,9383,9617,
9546,9158,8437,7393,6048,4443,2652,741,-1213,-3136,-4937,-6549,-7911,-8971,-9698,-10063,-10077,-9759,-9150,-8308,
-7282,-6158,-4984,-3821,-2705,-1676,-731,135,931,1700,2450,3228,4047,4895,5784,6687,7548,8316,8940,9357,
9520,9378,8911,8114,6989,5579,3931,2106,178,-1774,-3676,-5437,-7003,-8291,-9276,-9918,-10204,-10131,-9754,-9082,
-8190,-7138,-5998,-4821,-3664,-2566,-1559,-629,218,1005,1769,2525,3317,4137,5003,5902,6787,7637,8380,8958,
9326,9428,9215,8671,7799,6611,5147,3450,1598,-342,-2290,-4162,-5879,-7378,-8606,-9512,-10067,-10269,-10122,-9671,
-8939,-8007,-6926,-5775,-4596,-3447,-2370,-1380,-467,371,1150,1911,2672,3461,4300,5176,6070,6957,7786,8498,
9035,9338,9363,9083,8460,7519,6262,4738,3005,1121,-824,-2754,-4604,-6269,-7717,-8870,-9700,-10168,-10288,-10071,
-9552,-8772,-7796,-6697,-5533,-4359,-3231,-2168,-1196,-308,509,1285,2045,2812,3610,4463,5338,6234,7109,7913,
8593,9076,9320,9283,8917,8217,7203,5880,4297,2526,622,-1324,-3239,-5052,-6670,-8051,-9125,-9876,-10267,-10303,
-10013,-9424,-8594,-7592,-6468,-5298,-4132,-3011,-1970,-1024,-143,667,1438,2199,2976,3785,4647,5532,6431,7298,
8083,8724,9156,9331,9222,8783,8005,6919,5533,3905,2091,174,-1771,-3672,-5442,-7008,-8316,-9322,-9985,-10288,
-10244,-9878,-9230,-8349,-7310,-6165,-4989,-3831,-2726,-1699,-760,103,902,1673,2441,3228,4057,4926,5823,6721,
7575,8326,8923,9298,9420,9231,8717,7865,6703,5260,3587,1741,-192,-2134,-4009,-5740,-7251,-8495,-9417,-9998,
-10225,-10101,-9661,-8961,-8034,-6962,-5805,-4627,-3475,-2389,-1378,-463,390,1178,1948,2721,3519,4356,5238,6132,
7024,7857,8580,9129,9451,9495,9233,8633,7705,6473,4968,3244,1376,-570,-2499,-4350,-6035,-7491,-8662,-9510,
-10008,-10155,-9953,-9450,-8693,-7728,-6633,-5469,-4292,-3159,-2081,-1096,-196,639,1426,2197,2975,3781,4633,5520,
6415,7300,8113,8798,9302,9562,9536,9197,8520,7517,6216,4654,2895,998,-947,-2867,-4685,-6322,-7713,-8819,
-9587,-10003,-10070,-9798,-9234,-8422,-7422,-6302,-5133,-3962,-2842,-1787,-817,66,889,1671,2438,3225,4042,4905,
5795,6691,7560,8351,8999,9447,9638,9545,9129,8374,7297,5930,4317,2517,602,-1346,-3248,-5028,-6618,-7945,
-8976,-9665,-10002,-9992,-9648,-9025,-8166,-7135,-6003,-4829,-3673,-2565,-1528,-581,284,1094,1866,2642,3428,4258,
5122,6017,6907,7766,8510,9126,9513,9641,9460,8971,8133,6988,5553,3892,2057,123,-1821,-3701,-5443,-6978,
-8247,-9199,-9807,-10066,-9981,-9567,-8880,-7986,-6927,-5778,-4605,-3455,-2361,-1347,-419,435,1238,2006,2782,3576,
4411,5281,6188,7063,7901,8628,9182,9516,9575,9324,8752,7847,6625,5138,3431,1567,-373,-2312,-4161,-5865,
-7342,-8537,-9408,-9940,-10117,-9955,-9472,-8735,-7797,-6710,-5550,-4375,-3238,-2163,-1164,-254,581,1376,2151,2926,
3733,4572,5455,6351,7226,8037,8733,9243,9520,9505,9183,8533,7555,6263,4720,2970,1084,-860,-2783,-4602,
-6262,-7673,-8795,-9591,-10034,-10133,-9900,-9354,-8560,-7581,-6470,-5307,-4138,-3009,-1952,-974,-86,735,1526,2297,
3080,3889,4746,5633,6527,7389,8176,8827,9290,9497,9415,9012,8282,7227,5879,4276,2494,586,-1364,-3271,
-5069,-6674,-8021,-9070,-9788,-10157,-10171,-9859,-9255,-8416,-7407,-6279,-5114,-3950,-2839,-1804,-846,32,841,1621,
2390,3182,4004,4867,5754,6646,7494,8256,8864,9270,9409,9257,8778,7968,6836,5430,3779,1956,38,-1911,
-3795,-5549,-7102,-8388,-9361,-9994,-10277,-10213,-9833,-9163,-8280,-7237,-6100,-4926,-3769,-2670,-1653,-716,144,946,
1727,2504,3300,4129,5003,5897,6786,7619,8355,8924,9273,9348,9124,8571,7690,6494,5026,3334,1484,-444,
-2383,-4246,-5953,-7444,-8655,-9547,-10097,-10296,-10151,-9697,-8974,-8047,-6973,-5816,-4643,-3498,-2418,-1413,-492,355,
1149,1924,2706,3514,4354,5229,6134,7018,7829,8531,9055,9353,9362,9061,8429,7481,6215,4697,2963,1095,
-842,-2765,-4591,-6255,-7685,-8820,-9640,-10101,-10216,-9995,-9474,-8702,-7734,-6639,-5472,-4305,-3169,-2109,-1130,-231,
602,1388,2168,2951,3766,4616,5502,6399,7269,8061,8727,9202,9437,9375,9001,8291,7271,5942,4368,2600,
714,-1230,-3138,-4929,-6534,-7903,-8968,-9705,-10090,-10129,-9835,-9251,-8425,-7426,-6311,-5142,-3979,-2862,-1825,-865,
15,835,1611,2390,3174,3993,4854,5742,6639,7489,8256,8881,9303,9467,9338,8884,8106,7011,5618,3996,
2194,285,-1652,-3538,-5295,-6847,-8155,-9140,-9796,-10096,-10055,-9694,-9054,-8181,-7153,-6021,-4855,-3701,-2606,-1583,
-649,212,1013,1788,2562,3352,4176,5041,5926,6817,7655,8388,8970,9340,9439,9231,8706,7849,6680,5235,
3570,1739,-180,-2120,-3976,-5691,-7192,-8423,-9334,-9909,-10133,-10014,-9581,-8879,-7969,-6912,-5764,-4598,-3462,-2374,
-1383,-463,377,1175,1944,2718,3510,4352,5220,6110,6988,7806,8512,9042,9350,9387,9112,8499,7573,6338,
4834,3122,1260,-664,-2587,-4418,-6083,-7526,-8687,-9525,-10014,-10155,-9965,-9468,-8711,-7763,-6681,-5531,-4362,-3237,
-2172,-1193,-298,536,1323,2092,2869,3675,4518,5390,6280,7151,7946,8613,9101,9345,9306,8953,8267,7269,
5971,4412,2661,782,-1155,-3059,-4863,-6484,-7858,-8956,-9708,-10125,-10185,-9917,-9365,-8563,-7570,-6477,-5319,-4154,
-3039,-1995,-1036,-153,670,1450,2218,3002,3824,4677,5560,6446,7300,8070,8707,9137,9319,9216,8785,8025,
6960,5590,3982,2199,298,-1635,-3521,-5292,-6857,-8174,-9188,-9872,-10196,-10183,-9846,-9225,-8378,-7354,-6239,-5073,
-3912,-2811,-1780,-840,34,854,1630,2399,3194,4018,4891,5775,6661,7508,8248,8843,9223,9344,9165,8661,
7832,6690,5270,3614,1800,-119,-2043,-3910,-5633,-7145,-8389,-9333,-9927,-10179,-10084,-9671,-8993,-8097,-7044,-5908,
-4735,-3587,-2496,-1484,-551,313,1118,1896,2677,3482,4328,5202,6089,6970,7798,8510,9064,9391,9442,9187,
8603,7703,6493,5008,3308,1465,-456,-2376,-4218,-5898,-7356,-8534,-9402,-9909,-10083,-9909,-9439,-8704,-7767,-6687,
-5540,-4374,-3232,-2158,-1170,-256,591,1392,2174,2965,3774,4618,5502,6390,7259,8066,8741,9237,9502,9479,
9151,8486,7502,6224,4687,2938,1076,-864,-2769,-4582,-6220,-7622,-8736,-9524,-9960,-10054,-9807,-9277,-8494,-7516,
-6425,-5279,-4111,-2988,-1936,-960,-66,762,1561,2333,3124,3944,4799,5686,6567,7422,8209,8843,9283,9487,
9396,8983,8243,7188,5842,4252,2472,578,-1358,-3245,-5028,-6613,-7949,-8985,-9696,-10051,-10061,-9750,-9149,-8317,
-7312,-6198,-5034,-3873,-2763,-1728,-773,106,926,1716,2496,3288,4125,4989,5878,6762,7606,8359,8952,9346,
9484,9317,8831,8019,6891,5486,3849,2036,132,-1800,-3669,-5408,-6941,-8207,-9166,-9795,-10062,-10002,-9609,-8956,
-8076,-7039,-5908,-4747,-3589,-2492,-1473,-542,323,1138,1930,2699,3512,4342,5220,6108,6984,7811,8536,9087,
9424,9492,9251,8689,7795,6603,5135,3449,1602,-314,-2233,-4081,-5781,-7254,-8454,-9336,-9889,-10084,-9943,-9490,
-8776,-7860,-6793,-5655,-4491,-3349,-2274,-1274,-358,487,1293,2073,2847,3666,4508,5383,6270,7139,7940,8625,
9124,9404,9395,9079,8439,7469,6209,4684,2946,1084,-845,-2759,-4575,-6231,-7650,-8782,-9599,-10057,-10172,-9962,
-9445,-8688,-7734,-6647,-5498,-4341,-3211,-2156,-1171,-277,556,1355,2135,2921,3738,4592,5476,6360,7215,7998,
8647,9096,9310,9238,8855,8135,7093,5764,4191,2420,535,-1400,-3292,-5081,-6687,-8040,-9102,-9834,-10223,-10252,
-9971,-9391,-8584,-7587,-6482,-5321,-4168,-3046,-2000,-1038,-147,680,1474,2262,3056,3890,4753,5643,6532,7378,
8139,8747,9145,9301,9158,8694,7903,6794,5407,3784,1984,85,-1840,-3718,-5465,-7014,-8306,-9289,-9941,-10245,
-10199,-9834,-9199,-8339,-7311,-6187,-5021,-3870,-2765,-1737,-781,96,922,1713,2501,3304,4153,5025,5925,6806,
7637,8365,8931,9278,9364,9153,8610,7742,6566,5116,3448,1616,-300,-2219,-4074,-5781,-7274,-8502,-9412,-9979,
-10205,-10087,-9659,-8964,-8062,-7008,-5867,-4699,-3556,-2464,-1454,-514,346,1166,1956,2749,3565,4417,5294,6190,
7062,7868,8563,9084,9378,9392,9093,8479,7539,6288,4788,3081,1222,-704,-2615,-4436,-6102,-7542,-8696,-9524,
-10015,-10161,-9967,-9476,-8728,-7786,-6709,-5554,-4389,-3254,-2177,-1180,-264,587,1396,2187,2987,3806,4666,5553,
6442,7308,8090,8748,9217,9439,9392,9022,8328,7312,6001,4446,2697,815,-1112,-3010,-4804,-6417,-7794,-8875,
-9629,-10043,-10103,-9834,-9278,-8478,-7497,-6396,-5235,-4073,-2954,-1891,-916,-9,827,1629,2423,3222,4053,4923,
5811,6701,7551,8303,8926,9340,9507,9383,8940,8171,7080,5710,4107,2321,421,-1502,-3388,-5137,-6699,-8012,
-9018,-9689,-10016,-9995,-9659,-9039,-8199,-7179,-6065,-4894,-3738,-2629,-1582,-628,258,1086,1889,2677,3487,4316,
5198,6086,6974,7807,8536,9112,9474,9574,9380,8857,8018,6867,5435,3778,1967,58,-1866,-3716,-5431,-6939,
-8180,-9112,-9702,-9949,-9852,-9446,-8770,-7882,-6840,-5711,-4543,-3402,-2307,-1292,-349,519,1337,2125,2921,3731,
4573,5452,6340,7215,8023,8723,9255,9559,9582,9318,8717,7802,6585,5091,3401,1552,-370,-2276,-4105,-5771,
-7222,-8394,-9251,-9764,-9932,-9760,-9289,-8562,-7631,-6568,-5428,-4261,-3132,-2061,-1065,-150,699,1503,2291,3082,
3895,4749,5631,6511,7374,8160,8820,9304,9546,9503,9162,8485,7500,6207,4669,2931,1064,-862,-2757,-4553,
-6175,-7567,-8669,-9447,-9875,-9963,-9721,-9191,-8411,-7450,-6365,-5217,-4068,-2952,-1899,-921,-29,805,1603,2383,
3180,4003,4854,5737,6617,7466,8227,8851,9279,9458,9349,8934,8186,7134,5775,4183,2415,527,-1396,-3267,
-5035,-6609,-7931,-8964,-9655,-10007,-10023,-9704,-9111,-8285,-7293,-6190,-5038,-3884,-2781,-1752,-799,83,904,1690,
2474,3273,4099,4958,5847,6722,7552,8288,8868,9247,9367,9184,8695,7879,6749,5345,3704,1910,6,-1910,
-3770,-5487,-7007,-8265,-9219,-9832,-10105,-10037,-9651,-9005,-8129,-7105,-5989,-4834,-3693,-2606,-1593,-655,211,1022,
1808,2591,3399,4233,5100,5984,6858,7668,8374,8917,9235,9287,9040,8471,7577,6388,4919,3241,1417,-493,
-2405,-4231,-5910,-7372,-8567,-9445,-9975,-10166,-10028,-9574,-8861,-7956,-6896,-5769,-4614,-3478,-2414,-1412,-490,364,
1166,1955,2741,3551,4395,5276,6165,7029,7814,8485,8982,9245,9228,8908,8264,7306,6047,4526,2813,962,
-947,-2845,-4638,-6274,-7673,-8795,-9592,-10048,-10154,-9939,-9423,-8657,-7710,-6629,-5494,-4333,-3206,-2160,-1170,-264,
577,1379,2162,2955,3784,4637,5518,6405,7249,8020,8654,9097,9300,9220,8824,8104,7076,5754,4181,2431,
561,-1355,-3237,-5000,-6586,-7924,-8972,-9695,-10069,-10099,-9823,-9235,-8426,-7450,-6346,-5205,-4047,-2935,-1893,-930,
-33,796,1594,2376,3183,4016,4875,5760,6646,7480,8221,8816,9212,9349,9189,8715,7925,6816,5437,3813,
2028,135,-1780,-3642,-5364,-6901,-8174,-9153,-9803,-10090,-10047,-9693,-9054,-8201,-7186,-6073,-4921,-3771,-2671,-1651,
-698,185,1007,1802,2594,3407,4250,5119,6006,6885,7704,8418,8965,9304,9378,9149,8601,7734,6554,5114,
3450,1627,-274,-2184,-4018,-5706,-7187,-8396,-9302,-9863,-10078,-9956,-9535,-8845,-7947,-6903,-5773,-4620,-3479,-2396,
-1386,-450,418,1237,2032,2830,3650,4500,5379,6270,7138,7937,8614,9114,9390,9397,9090,8463,7520,6275,
4770,3060,1212,-700,-2604,-4417,-6058,-7483,-8621,-9451,-9935,-10074,-9881,-9397,-8647,-7716,-6645,-5511,-4360,-3228,
-2160,-1173,-256,599,1411,2202,3003,3831,4692,5568,6456,7310,8084,8724,9173,9387,9318,8935,8230,7211,
5899,4335,2583,711,-1205,-3091,-4875,-6471,-7840,-8909,-9658,-10067,-10124,-9864,-9319,-8527,-7551,-6463,-5320,-4175,
-3055,-1996,-1031,-126,715,1521,2317,3119,3951,4819,5701,6582,7426,8170,8770,9169,9318,9177,8716,7937,
6853,5479,3874,2085,198,-1718,-3584,-5329,-6878,-8175,-9171,-9838,-10166,-10143,-9808,-9202,-8357,-7356,-6245,-5095,
-3940,-2837,-1797,-838,51,890,1702,2493,3303,4153,5027,5916,6795,7617,8336,8903,9246,9333,9127,8595,
7744,6592,5158,3514,1701,-202,-2100,-3944,-5647,-7142,-8366,-9288,-9874,-10114,-10014,-9616,-8945,-8060,-7022,-5896,
-4737,-3596,-2506,-1482,-541,343,1164,1972,2775,3594,4449,5331,6215,7086,7889,8577,9093,9381,9400,9121,
8505,7591,6364,4881,3183,1350,-559,-2459,-4275,-5935,-7366,-8529,-9377,-9885,-10050,-9883,-9412,-8687,-7765,-6709,
-5569,-4418,-3282,-2212,-1212,-292,580,1394,2190,2996,3818,4674,5552,6432,7293,8068,8723,9181,9406,9356,
8996,8314,7322,6031,4488,2755,891,-1018,-2904,-4692,-6303,-7673,-8765,-9539,-9966,-10057,-9812,-9284,-8513,-7553,
-6468,-5325,-4170,-3058,-1997,-1014,-104,748,1557,2356,3160,3991,4856,5735,6614,7453,8208,8822,9232,9395,
9278,8846,8091,7027,5684,4088,2323,444,-1467,-3337,-5082,-6645,-7958,-8976,-9666,-10013,-10019,-9708,-9116,-8296,
-7299,-6202,-5049,-3897,-2795,-1749,-787,105,951,1756,2555,3364,4201,5066,5958,6827,7654,8375,8944,9306,
9405,9218,8708,7883,6749,5341,3714,1912,21,-1885,-3735,-5444,-6950,-8196,-9142,-9754,-10024,-9954,-9572,-8923,
-8062,-7034,-5920,-4768,-3626,-2538,-1508,-562,314,1148,1949,2752,3565,4406,5283,6168,7033,7841,8532,9050,
9357,9391,9131,8544,7643,6442,4974,3292,1467,-434,-2338,-4156,-5827,-7279,-8462,-9328,-9863,-10059,-9915,-9468,
-8766,-7862,-6814,-5689,-4535,-3413,-2326,-1321,-392,472,1296,2094,2895,3715,4566,5448,6333,7179,7965,8620,
9102,9342,9310,8972,8315,7340,6069,4553,2833,986,-927,-2813,-4604,-6232,-7622,-8727,-9527,-9977,-10089,-9871,
-9365,-8611,-7667,-6595,-5456,-4304,-3188,-2127,-1133,-220,633,1451,2246,3064,3885,4750,5633,6516,7353,8114,
8732,9161,9348,9243,8838,8104,7057,5734,4164,2406,540,-1371,-3241,-4997,-6571,-7897,-8937,-9646,-10017,-10056,
-9765,-9191,-8393,-7412,-6313,-5166,-4018,-2913,-1867,-895,9,855,1669,2466,3282,4119,4989,5874,6751,7573,
8308,8886,9260,9380,9205,8722,7920,6796,5415,3792,2008,126,-1781,-3635,-5351,-6870,-8136,-9101,-9733,-10025,
-9985,-9625,-8994,-8149,-7136,-6024,-4875,-3729,-2642,-1610,-652,235,1071,1878,2679,3500,4347,5210,6100,6968,
7772,8478,9008,9328,9379,9133,8574,7696,6506,5064,3403,1590,-309,-2214,-4032,-5708,-7178,-8371,-9260,-9818,
-10031,-9913,-9486,-8800,-7911,-6874,-5751,-4595,-3461,-2379,-1373,-433,442,1263,2076,2877,3700,4547,5424,6306,
7168,7945,8616,9102,9359,9344,9025,8395,7443,6187,4688,2986,1148,-769,-2648,-4447,-6072,-7485,-8611,-9424,
-9892,-10031,-9840,-9346,-8610,-7682,-6617,-5484,-4331,-3210,-2141,-1152,-226,630,1447,2253,3057,3890,4747,5624,
6501,7342,8102,8733,9168,9372,9286,8886,8180,7158,5845,4296,2557,696,-1210,-3081,-4845,-6425,-7776,-8832,
-9566,-9961,-10016,-9751,-9200,-8410,-7449,-6362,-5220,-4073,-2959,-1918,-940,-33,813,1625,2429,3237,4072,4931,
5811,6686,7516,8248,8835,9220,9357,9206,8734,7953,6860,5489,3887,2117,242,-1662,-3516,-5244,-6776,-8059,
-9047,-9700,-10020,-10005,-9673,-9064,-8227,-7235,-6133,-4989,-3846,-2742,-1718,-764,131,961,1774,2577,3389,4231,
5089,5970,6835,7643,8347,8895,9223,9298,9069,8527,7671,6517,5080,3443,1636,-247,-2148,-3977,-5669,-7144,
-8370,-9278,-9854,-10092,-9998,-9600,-8933,-8057,-7036,-5915,-4771,-3635,-2553,-1540,-602,278,1102,1910,2714,3532,
4379,5249,6129,6984,7771,8443,8941,9217,9227,8928,8317,7387,6167,4683,3003,1173,-719,-2611,-4409,-6047,
-7467,-8616,-9449,-9948,-10102,-9934,-9475,-8752,-7833,-6780,-5653,-4502,-3375,-2310,-1301,-381,489,1309,2113,2923,
3749,4609,5483,6362,7210,7977,8613,9070,9288,9228,8858,8169,7171,5889,4354,2633,788,-1106,-2976,-4748,
-6339,-7699,-8773,-9528,-9942,-10021,-9781,-9251,-8483,-7520,-6453,-5310,-4163,-3042,-1989,-1007,-94,762,1578,2385,
3208,4044,4904,5785,6660,7499,8240,8830,9234,9385,9254,8808,8049,6983,5634,4049,2294,430,-1468,-3318,
-5055,-6599,-7899,-8905,-9578,-9921,-9920,-9613,-9023,-8205,-7214,-6129,-4981,-3840,-2733,-1695,-731,170,1013,1822,
2630,3449,4291,5161,6035,6905,7721,8431,8987,9334,9420,9217,8695,7859,6728,5312,3682,1893,12,-1876,
-3712,-5415,-6905,-8139,-9072,-9669,-9933,-9860,-9480,-8833,-7980,-6964,-5855,-4708,-3578,-2485,-1470,-518,364,1200,
2012,2823,3643,4491,5365,6243,7098,7902,8572,9085,9375,9401,9127,8526,7621,6418,4947,3276,1465,-432,
-2315,-4124,-5775,-7213,-8374,-9233,-9755,-9936,-9784,-9346,-8640,-7740,-6696,-5580,-4423,-3300,-2221,-1216,-285,590,
1426,2230,3046,3874,4737,5607,6487,7339,8111,8754,9216,9446,9404,9055,8383,7402,6136,4617,2904,1062,
-833,-2703,-4485,-6097,-7472,-8572,-9353,-9796,-9903,-9680,-9172,-8426,-7493,-6424,-5291,-4142,-3027,-1966,-976,-57,
805,1631,2438,3254,4090,4952,5836,6708,7541,8283,8889,9304,9468,9348,8925,8176,7127,5797,4220,2471,
609,-1290,-3153,-4899,-6462,-7777,-8809,-9521,-9889,-9917,-9629,-9064,-8272,-7298,-6210,-5080,-3932,-2831,-1779,-807,
94,949,1763,2571,3388,4233,5101,5975,6841,7657,8374,8930,9292,9392,9203,8702,7877,6753,5359,3742,
1957,81,-1818,-3663,-5373,-6889,-8142,-9103,-9731,-10018,-9979,-9624,-9001,-8164,-7159,-6057,-4914,-3775,-2678,-1650,
-693,202,1047,1860,2669,3495,4343,5216,6095,6953,7753,8436,8946,9250,9288,9024,8449,7554,6364,4916,
3256,1438,-451,-2338,-4158,-5830,-7286,-8472,-9356,-9907,-10121,-10003,-9579,-8901,-8024,-6989,-5870,-4726,-3592,-2506,
-1490,-549,328,1171,1990,2799,3632,4488,5374,6249,7093,7868,8521,8990,9236,9205,8873,8218,7258,6010,
4501,2803,965,-930,-2803,-4596,-6220,-7623,-8737,-9546,-10013,-10149,-9954,-9469,-8739,-7814,-6756,-5623,-4480,-3350,
-2284,-1282,-351,516,1352,2165,2982,3829,4683,5571,6446,7282,8035,8648,9063,9248,9155,8750,8026,6989,
5675,4125,2392,536,-1358,-3215,-4972,-6545,-7890,-8934,-9661,-10051,-10104,-9841,-9292,-8513,-7554,-6474,-5335,-4194,
-3076,-2022,-1028,-122,741,1563,2386,3204,4053,4916,5805,6672,7492,8213,8790,9151,9277,9111,8636,7839,
6736,5368,3769,1998,130,-1759,-3600,-5312,-6839,-8110,-9082,-9734,-10047,-10020,-9688,-9079,-8257,-7259,-6162,-5023,
-3883,-2779,-1741,-772,124,975,1796,2613,3432,4286,5153,6041,6898,7690,8393,8918,9229,9288,9053,8498,
7634,6465,5037,3398,1595,-284,-2173,-3982,-5662,-7130,-8336,-9232,-9809,-10041,-9940,-9540,-8879,-8012,-6994,-5884,
-4736,-3611,-2523,-1504,-559,322,1167,1985,2792,3622,4479,5357,6235,7078,7858,8519,9006,9256,9246,8936,
8314,7368,6138,4654,2974,1150,-737,-2611,-4400,-6030,-7444,-8576,-9399,-9895,-10049,-9872,-9410,-8698,-7788,-6742,
-5617,-4480,-3359,-2284,-1289,-346,522,1345,2161,2979,3815,4675,5550,6433,7266,8025,8650,9083,9278,9204,
8820,8129,7116,5823,4286,2572,723,-1162,-3018,-4771,-6356,-7707,-8773,-9515,-9933,-10009,-9764,-9234,-8469,-7524,
-6457,-5322,-4184,-3070,-2015,-1026,-105,751,1578,2393,3213,4046,4918,5795,6670,7492,8221,8806,9190,9328,
9185,8730,7960,6883,5523,3945,2194,330,-1557,-3394,-5118,-6651,-7939,-8936,-9602,-9942,-9940,-9625,-9042,-8232,
-7254,-6166,-5029,-3895,-2798,-1747,-782,124,970,1793,2607,3431,4274,5150,6026,6891,7693,8393,8932,9262,
9333,9118,8588,7743,6593,5179,3556,1774,-107,-1989,-3809,-5490,-6978,-8208,-9125,-9720,-9977,-9903,-9523,-8884,
-8031,-7032,-5929,-4788,-3662,-2568,-1543,-587,302,1142,1963,2776,3608,4460,5338,6213,7065,7843,8512,9007,
9282,9282,9002,8394,7476,6265,4796,3129,1317,-572,-2442,-4238,-5880,-7304,-8469,-9315,-9827,-10010,-9868,-9423,
-8727,-7832,-6805,-5688,-4538,-3418,-2338,-1325,-388,495,1327,2148,2967,3810,4666,5548,6420,7260,8019,8656,
9106,9316,9257,8896,8218,7234,5962,4445,2732,899,-990,-2845,-4612,-6206,-7573,-8666,-9432,-9871,-9979,-9756,
-9247,-8503,-7569,-6515,-5383,-4237,-3123,-2054,-1060,-132,746,1573,2390,3218,4060,4930,5811,6682,7508,8238,
8833,9231,9382,9254,8820,8062,7007,5675,4102,2364,512,-1384,-3223,-4955,-6510,-7808,-8831,-9532,-9883,-9913,
-9626,-9060,-8264,-7305,-6222,-5089,-3951,-2841,-1794,-809,103,963,1794,2610,3445,4283,5158,6037,6899,7705,
8404,8953,9298,9384,9180,8669,7846,6718,5325,3702,1929,61,-1828,-3653,-5348,-6845,-8095,-9040,-9657,-9940,
-9895,-9543,-8921,-8088,-7093,-5997,-4861,-3727,-2631,-1601,-635,266,1113,1929,2749,3576,4426,5299,6179,7030,
7817,8485,8987,9269,9291,9013,8433,7526,6335,4880,3221,1416,-467,-2348,-4147,-5799,-7245,-8419,-9300,-9838,
-10037,-9928,-9506,-8830,-7952,-6928,-5826,-4683,-3561,-2477,-1457,-514,373,1209,2035,2852,3691,4539,5421,6298,
7132,7896,8529,8984,9214,9166,8818,8163,7189,5939,4429,2732,908,-978,-2850,-4615,-6223,-7600,-8717,-9509,
-9970,-10098,-9906,-9422,-8690,-7770,-6731,-5608,-4472,-3351,-2287,-1283,-348,529,1366,2180,3007,3850,4712,5592,
6474,7294,8036,8626,9035,9208,9095,8674,7945,6904,5596,4038,2309,466,-1407,-3265,-4993,-6559,-7877,-8915,
-9631,-10015,-10063,-9799,-9249,-8470,-7513,-6441,-5311,-4175,-3062,-2015,-1026,-109,758,1587,2405,3241,4089,4960,
5837,6703,7514,8226,8781,9137,9245,9057,8569,7768,6663,5293,3688,1923,67,-1814,-3649,-5337,-6852,-8108,
-9077,-9712,-10015,-9989,-9660,-9056,-8232,-7244,-6162,-5026,-3886,-2787,-1756,-787,120,974,1799,2622,3452,4313,
5176,6061,6915,7707,8385,8897,9202,9243,8992,8431,7552,6386,4957,3307,1522,-348,-2225,-4029,-5686,-7141,
-8333,-9226,-9790,-10009,-9912,-9514,-8854,-7985,-6969,-5867,-4732,-3600,-2511,-1497,-533,351,1209,2029,2848,3691,
4550,5420,6304,7149,7924,8572,9033,9284,9260,8933,8300,7362,6129,4646,2964,1145,-729,-2589,-4361,-5977,
-7370,-8492,-9310,-9792,-9940,-9762,-9303,-8584,-7681,-6637,-5521,-4382,-3254,-2181,-1178,-229,647,1496,2317,3145,
3985,4856,5737,6606,7436,8189,8797,9213,9401,9315,8916,8212,7202,5907,4379,2663,825,-1049,-2898,-4637,
-6204,-7538,-8590,-9333,-9741,-9805,-9561,-9034,-8268,-7335,-6267,-5141,-4004,-2900,-1829,-845,86,954,1799,2615,
3450,4291,5165,6040,6912,7723,8446,9007,9375,9500,9344,8870,8088,7011,5659,4079,2330,476,-1396,-3230,
-4935,-6456,-7729,-8710,-9379,-9702,-9701,-9391,-8813,-8003,-7032,-5948,-4825,-3682,-2586,-1544,-575,337,1197,2033,
2845,3675,4525,5400,6273,7125,7919,8602,9125,9436,9498,9269,8719,7866,6720,5308,3682,1896,38,-1837,
-3643,-5316,-6788,-8001,-8914,-9503,-9757,-9677,-9298,-8663,-7816,-6820,-5721,-4593,-3467,-2384,-1360,-408,489,1338,
2162,2978,3811,4669,5538,6407,7257,8025,8668,9152,9402,9391,9090,8469,7547,6330,4864,3201,1381,-490,
-2357,-4137,-5768,-7179,-8323,-9162,-9682,-9848,-9701,-9271,-8578,-7689,-6668,-5560,-4426,-3310,-2239,-1236,-301,586,
1424,2245,3064,3899,4757,5633,6500,7330,8074,8687,9112,9308,9234,8859,8162,7167,5890,4375,2661,831,
-1048,-2896,-4654,-6238,-7590,-8668,-9434,-9868,-9972,-9753,-9255,-8514,-7590,-6546,-5425,-4296,-3187,-2130,-1140,-211,
666,1499,2317,3140,3984,4845,5721,6579,7395,8117,8692,9069,9206,9060,8609,7844,6780,5445,3879,2135,
281,-1593,-3429,-5148,-6681,-7973,-8983,-9671,-10029,-10051,-9760,-9202,-8413,-7459,-6392,-5265,-4131,-3031,-1988,-1013,
-96,765,1603,2425,3254,4107,4974,5848,6697,7505,8189,8726,9052,9120,8909,8387,7548,6420,5021,3415,
1641,-217,-2092,-3903,-5588,-7071,-8299,-9232,-9845,-10123,-10068,-9714,-9098,-8269,-7275,-6187,-5053,-3928,-2837,-1805,
-842,60,924,1747,2578,3409,4267,5143,6019,6867,7647,8303,8800,9065,9068,8787,8193,7285,6098,4646,
2991,1194,-676,-2542,-4328,-5967,-7391,-8551,-9413,-9940,-10141,-10016,-9590,-8917,-8046,-7020,-5920,-4782,-3660,-2581,
-1556,-601,289,1144,1976,2806,3646,4513,5388,6263,7096,7857,8477,8927,9139,9080,8723,8062,7087,5836,
4333,2643,821,-1046,-2901,-4648,-6252,-7609,-8706,-9486,-9940,-10054,-9857,-9369,-8642,-7733,-6681,-5569,-4428,-3316,
-2246,-1241,-301,583,1439,2264,3092,3945,4820,5698,6565,7387,8122,8707,9102,9252,9130,8704,7971,6916,
5608,4065,2341,505,-1368,-3203,-4924,-6472,-7779,-8799,-9506,-9880,-9928,-9665,-9117,-8342,-7393,-6328,-5201,-4067,
-2964,-1908,-918,2,879,1722,2552,3384,4235,5101,5983,6840,7642,8341,8890,9229,9319,9118,8627,7812,
6706,5338,3741,1985,132,-1740,-3553,-5240,-6735,-7975,-8924,-9560,-9854,-9835,-9502,-8892,-8077,-7100,-6019,-4890,
-3753,-2660,-1623,-653,255,1119,1961,2785,3626,4476,5351,6226,7075,7853,8521,9025,9309,9331,9064,8499,
7616,6439,5010,3370,1591,-276,-2140,-3930,-5573,-7022,-8199,-9079,-9630,-9853,-9752,-9354,-8696,-7840,-6832,-5733,
-4594,-3473,-2392,-1368,-411,483,1344,2171,3002,3843,4701,5578,6452,7292,8044,8679,9134,9365,9322,8984,
8340,7391,6152,4671,2998,1188,-683,-2537,-4292,-5900,-7287,-8398,-9209,-9678,-9830,-9657,-9197,-8487,-7589,-6557,
-5448,-4316,-3202,-2132,-1130,-180,701,1546,2373,3209,4048,4908,5784,6650,7472,8203,8798,9205,9371,9255,
8845,8129,7098,5807,4272,2551,724,-1152,-2993,-4723,-6287,-7616,-8660,-9395,-9794,-9867,-9621,-9101,-8348,-7417,
-6362,-5243,-4115,-3008,-1959,-969,-38,828,1676,2503,3333,4181,5045,5917,6783,7583,8286,8837,9191,9293,
9110,8626,7834,6745,5378,3796,2044,197,-1678,-3504,-5199,-6710,-7978,-8950,-9610,-9929,-9929,-9618,-9038,-8235,
-7272,-6194,-5066,-3933,-2840,-1802,-826,92,955,1800,2627,3470,4320,5195,6063,6928,7710,8386,8901,9202,
9238,8986,8432,7570,6412,4987,3364,1590,-272,-2147,-3945,-5601,-7060,-8260,-9161,-9737,-9983,-9905,-9527,-8881,
-8034,-7039,-5945,-4811,-3682,-2590,-1568,-599,306,1160,2002,2838,3682,4547,5422,6293,7135,7902,8539,9010,
9253,9232,8906,8272,7337,6117,4643,2977,1162,-700,-2564,-4342,-5956,-7366,-8498,-9327,-9822,-9995,-9839,-9398,
-8705,-7812,-6789,-5678,-4546,-3420,-2345,-1338,-386,508,1355,2196,3030,3879,4749,5626,6495,7324,8060,8663,
9087,9269,9173,8776,8076,7063,5777,4247,2541,713,-1157,-3009,-4754,-6325,-7675,-8748,-9492,-9920,-10010,-9792,
-9286,-8539,-7614,-6566,-5448,-4308,-3196,-2132,-1136,-197,687,1531,2370,3206,4063,4930,5807,6671,7486,8194,
8761,9128,9249,9088,8616,7840,6761,5419,3841,2100,250,-1620,-3454,-5166,-6689,-7971,-8973,-9646,-9991,-10007,
-9712,-9149,-8353,-7389,-6322,-5188,-4055,-2948,-1897,-914,10,887,1729,2568,3406,4267,5142,6025,6877,7669,
8351,8874,9193,9244,9016,8476,7626,6484,5083,3462,1691,-170,-2037,-3847,-5519,-6990,-8209,-9137,-9732,-9999,
-9939,-9578,-8955,-8116,-7125,-6041,-4901,-3766,-2675,-1642,-669,240,1104,1940,2780,3624,4483,5361,6235,7076,
7857,8501,8978,9236,9226,8926,8311,7396,6189,4720,3060,1262,-610,-2464,-4252,-5882,-7302,-8449,-9300,-9825,
-10009,-9875,-9449,-8777,-7893,-6873,-5776,-4629,-3512,-2426,-1406,-460,437,1297,2133,2963,3812,4680,5557,6424,
7257,8006,8613,9045,9245,9172,8798,8113,7123,5855,4343,2646,827,-1039,-2894,-4647,-6229,-7584,-8669,-9448,
-9880,-9992,-9784,-9295,-8570,-7644,-6597,-5477,-4346,-3227,-2160,-1163,-225,670,1514,2344,3180,4037,4902,5783,
6642,7464,8191,8766,9144,9289,9144,8697,7942,6886,5565,4001,2266,434,-1439,-3271,-4994,-6523,-7816,-8834,
-9529,-9885,-9918,-9641,-9088,-8311,-7355,-6286,-5166,-4022,-2916,-1868,-882,34,912,1755,2578,3421,4274,5149,
6023,6882,7677,8375,8904,9234,9310,9103,8588,7756,6635,5252,3646,1881,31,-1836,-3646,-5329,-6812,-8045,
-8983,-9602,-9876,-9836,-9489,-8885,-8057,-7076,-5987,-4863,-3725,-2635,-1601,-634,273,1134,1971,2795,3637,4488,
5366,6241,7083,7865,8528,9014,9285,9304,9027,8439,7540,6361,4925,3267,1485,-376,-2235,-4023,-5662,-7094,
-8252,-9121,-9658,-9856,-9739,-9327,-8658,-7789,-6774,-5679,-4541,-3415,-2337,-1320,-367,520,1378,2209,3038,3879,
4740,5620,6485,7318,8071,8703,9143,9365,9314,8962,8302,7335,6088,4600,2915,1101,-761,-2607,-4367,-5958,
-7329,-8425,-9214,-9676,-9796,-9612,-9129,-8416,-7504,-6461,-5354,-4217,-3103,-2036,-1040,-105,774,1613,2443,3267,
4112,4976,5853,6715,7532,8262,8848,9245,9405,9282,8862,8126,7096,5786,4246,2519,690,-1179,-3007,-4728,
-6282,-7593,-8618,-9334,-9712,-9766,-9505,-8972,-8211,-7266,-6205,-5091,-3964,-2860,-1816,-832,82,949,1784,2602,
3425,4275,5139,6008,6861,7660,8358,8898,9241,9335,9142,8647,7840,6737,5366,3776,2022,178,-1695,-3509,
-5192,-6695,-7950,-8900,-9539,-9841,-9818,-9495,-8903,-8098,-7126,-6047,-4926,-3802,-2706,-1679,-712,187,1047,1874,
2692,3520,4375,5240,6111,6948,7731,8402,8905,9189,9225,8961,8394,7515,6348,4921,3289,1504,-347,-2209,
-4000,-5647,-7085,-8277,-9159,-9714,-9945,-9841,-9454,-8804,-7944,-6943,-5844,-4718,-3604,-2516,-1501,-548,340,1189,
2021,2842,3674,4537,5407,6280,7113,7872,8508,8968,9202,9166,8837,8199,7255,6021,4548,2881,1068,-787,
-2639,-4402,-6009,-7399,-8508,-9314,-9801,-9944,-9773,-9315,-8609,-7719,-6684,-5577,-4450,-3336,-2268,-1264,-323,552,
1394,2223,3049,3889,4752,5627,6497,7311,8048,8649,9059,9225,9135,8731,8022,6996,5708,4175,2469,637,
-1223,-3062,-4797,-6361,-7690,-8740,-9470,-9882,-9951,-9707,-9189,-8439,-7510,-6453,-5336,-4204,-3104,-2050,-1062,-140,
724,1565,2391,3217,4063,4926,5805,6663,7469,8175,8734,9094,9199,9031,8553,7769,6682,5325,3749,2013,
156,-1712,-3531,-5228,-6742,-8010,-8990,-9644,-9980,-9971,-9661,-9084,-8288,-7321,-6247,-5121,-3993,-2898,-1857,-882,
26,890,1721,2548,3381,4235,5105,5982,6833,7615,8293,8817,9117,9159,8926,8373,7518,6363,4957,3330,
1562,-306,-2161,-3964,-5619,-7084,-8282,-9187,-9762,-10018,-9932,-9555,-8918,-8073,-7072,-5982,-4845,-3723,-2636,-1605,
-641,255,1114,1941,2776,3616,4476,5359,6231,7075,7845,8490,8967,9217,9201,8896,8268,7346,6126,4662,
2994,1198,-670,-2525,-4296,-5912,-7318,-8450,-9286,-9782,-9958,-9802,-9357,-8666,-7785,-6754,-5647,-4508,-3390,-2316,
-1303,-352,535,1383,2215,3050,3888,4762,5641,6511,7337,8082,8694,9119,9308,9223,8844,8145,7143,5860,
4342,2637,813,-1060,-2903,-4646,-6220,-7571,-8641,-9396,-9819,-9918,-9692,-9188,-8446,-7522,-6476,-5363,-4222,-3117,
-2052,-1052,-127,755,1593,2426,3268,4115,4980,5857,6721,7533,8249,8818,9186,9315,9163,8702,7924,6861,
5516,3939,2203,358,-1521,-3346,-5057,-6588,-7877,-8878,-9554,-9900,-9925,-9634,-9068,-8280,-7326,-6255,-5128,-3993,
-2899,-1845,-862,51,917,1757,2590,3427,4277,5152,6033,6886,7676,8362,8891,9206,9270,9044,8514,7670,
6539,5132,3513,1743,-115,-1987,-3789,-5470,-6941,-8166,-9097,-9702,-9970,-9918,-9554,-8936,-8098,-7112,-6018,-4891,
-3755,-2669,-1630,-664,242,1101,1941,2770,3613,4471,5346,6225,7074,7848,8499,8979,9242,9244,8948,8346,
7437,6229,4774,3114,1322,-542,-2412,-4193,-5828,-7251,-8407,-9256,-9783,-9976,-9842,-9417,-8745,-7861,-6846,-5742,
-4603,-3476,-2404,-1378,-426,472,1320,2155,2991,3836,4696,5579,6456,7286,8035,8655,9087,9294,9227,8855,
8180,7196,5934,4424,2725,903,-969,-2823,-4575,-6162,-7527,-8619,-9399,-9848,-9957,-9765,-9276,-8544,-7635,-6588,
-5475,-4332,-3216,-2159,-1146,-211,671,1518,2349,3174,4028,4897,5774,6638,7457,8183,8757,9143,9290,9148,
8710,7961,6910,5580,4020,2288,450,-1430,-3267,-4985,-6530,-7833,-8855,-9553,-9924,-9966,-9698,-9146,-8372,-7413,
-6358,-5231,-4093,-2987,-1938,-950,-32,846,1685,2516,3348,4212,5077,5960,6822,7620,8315,8848,9184,9265,
9059,8544,7732,6606,5224,3617,1854,7,-1867,-3682,-5367,-6853,-8097,-9043,-9669,-9956,-9916,-9578,-8970,-8146,
-7163,-6078,-4946,-3812,-2715,-1684,-712,200,1065,1896,2726,3563,4426,5297,6178,7023,7811,8471,8964,9248,
9266,8983,8399,7511,6335,4895,3242,1449,-409,-2274,-4059,-5704,-7141,-8314,-9191,-9732,-9940,-9831,-9426,-8760,
-7894,-6882,-5784,-4650,-3518,-2440,-1421,-462,432,1288,2119,2948,3792,4655,5530,6406,7242,8003,8631,9079,
9303,9258,8908,8249,7295,6041,4551,2865,1047,-817,-2674,-4436,-6037,-7412,-8517,-9319,-9784,-9920,-9735,-9268,
-8549,-7643,-6606,-5492,-4362,-3244,-2172,-1176,-231,652,1500,2328,3160,4005,4875,5751,6617,7437,8171,8761,
9165,9326,9216,8790,8062,7029,5721,4174,2454,618,-1251,-3095,-4821,-6374,-7697,-8730,-9454,-9843,-9896,-9646,
-9114,-8347,-7405,-6342,-5227,-4093,-2982,-1927,-940,-13,861,1702,2526,3361,4211,5086,5961,6820,7631,8337,
8886,9235,9330,9146,8647,7845,6749,5384,3790,2030,178,-1691,-3512,-5204,-6707,-7962,-8930,-9581,-9888,-9870,
-9544,-8956,-8147,-7171,-6092,-4961,-3831,-2734,-1693,-731,187,1051,1887,2710,3546,4405,5282,6154,7005,7796,
8467,8976,9267,9303,9049,8478,7604,6439,5015,3377,1592,-272,-2138,-3938,-5595,-7043,-8237,-9130,-9700,-9934,
-9844,-9452,-8807,-7956,-6951,-5856,-4723,-3597,-2512,-1489,-532,368,1222,2055,2881,3721,4582,5462,6329,7173,
7934,8577,9036,9270,9240,8912,8271,7330,6093,4612,2937,1133,-745,-2595,-4374,-5983,-7378,-8507,-9327,-9818,
-9970,-9810,-9356,-8659,-7754,-6727,-5615,-4483,-3366,-2289,-1282,-334,554,1404,2233,3062,3910,4775,5657,6520,
7349,8092,8691,9106,9280,9186,8781,8073,7060,5769,4238,2526,693,-1180,-3022,-4763,-6326,-7663,-8716,-9461,
-9874,-9954,-9715,-9199,-8452,-7514,-6462,-5337,-4203,-3094,-2038,-1041,-115,755,1604,2429,3262,4114,4989,5863,
6724,7535,8251,8815,9175,9287,9124,8653,7867,6789,5441,3860,2113,262,-1605,-3427,-5136,-6651,-7923,-8915,
-9574,-9908,-9909,-9602,-9030,-8235,-7262,-6187,-5061,-3925,-2827,-1786,-808,102,973,1807,2631,3471,4319,5196,
6073,6924,7719,8397,8925,9229,9284,9050,8502,7650,6503,5093,3476,1699,-157,-2027,-3830,-5503,-6960,-8170,
-9081,-9669,-9926,-9854,-9483,-8847,-8007,-7007,-5916,-4786,-3658,-2570,-1540,-578,313,1172,2005,2828,3663,4521,
5400,6270,7112,7891,8538,9013,9262,9253,8949,8331,7399,6191,4730,3066,1266,-603,-2459,-4235,-5864,-7269,
-8413,-9251,-9761,-9935,-9789,-9347,-8664,-7778,-6752,-5645,-4513,-3398,-2326,-1308,-365,523,1373,2197,3022,3861,
4728,5604,6472,7301,8051,8664,9092,9285,9204,8829,8138,7146,5871,4357,2654,830,-1036,-2882,-4629,-6212,
-7557,-8631,-9391,-9821,-9923,-9707,-9202,-8468,-7550,-6499,-5380,-4245,-3141,-2080,-1085,-157,721,1561,2390,3221,
4066,4930,5811,6673,7484,8208,8785,9161,9294,9147,8697,7936,6870,5540,3974,2241,394,-1481,-3306,-5014,
-6552,-7840,-8844,-9526,-9879,-9901,-9612,-9049,-8269,-7311,-6241,-5115,-3983,-2890,-1845,-865,50,914,1750,2575,
3408,4260,5133,6011,6863,7659,8351,8886,9207,9280,9067,8543,7713,6572,5186,3578,1809,-46,-1914,-3721,
-5395,-6881,-8102,-9035,-9643,-9917,-9864,-9511,-8893,-8065,-7074,-5987,-4858,-3730,-2643,-1613,-647,254,1110,1950,
2771,3607,4461,5335,6216,7061,7833,8501,8985,9256,9258,8969,8376,7464,6273,4820,3173,1379,-489,-2352,
-4134,-5773,-7206,-8361,-9218,-9749,-9952,-9824,-9406,-8732,-7862,-6843,-5744,-4612,-3489,-2416,-1401,-446,439,1293,
2121,2947,3788,4650,5524,6395,7229,7979,8606,9045,9256,9193,8833,8164,7185,5925,4424,2734,914,-956,
-2809,-4562,-6161,-7527,-8623,-9404,-9861,-9982,-9786,-9304,-8578,-7665,-6623,-5507,-4374,-3263,-2203,-1202,-263,615,
1455,2284,3119,3964,4826,5709,6572,7391,8118,8709,9101,9250,9122,8688,7947,6905,5582,4034,2307,473,
-1404,-3243,-4965,-6512,-7820,-8840,-9547,-9922,-9970,-9701,-9156,-8379,-7440,-6370,-5246,-4113,-3012,-1959,-976,-51,
815,1651,2480,3315,4165,5037,5915,6771,7573,8273,8821,9162,9251,9051,8548,7737,6624,5246,3649,1891,
36,-1837,-3654,-5334,-6831,-8079,-9022,-9652,-9950,-9921,-9587,-8983,-8161,-7189,-6102,-4974,-3840,-2745,-1708,-739,
168,1025,1859,2687,3525,4379,5252,6134,6986,7764,8429,8933,9220,9238,8973,8400,7516,6336,4904,3262,
1479,-382,-2250,-4043,-5692,-7131,-8317,-9190,-9743,-9962,-9861,-9456,-8799,-7936,-6931,-5831,-4701,-3573,-2496,-1472,
-516,377,1229,2058,2889,3727,4587,5461,6334,7172,7931,8566,9023,9251,9208,8872,8219,7264,6025,4533,
2862,1047,-822,-2673,-4438,-6042,-7426,-8546,-9342,-9819,-9963,-9785,-9321,-8608,-7708,-6676,-5562,-4430,-3310,-2247,
-1242,-307,579,1422,2247,3078,3927,4790,5666,6531,7359,8086,8687,9096,9262,9149,8741,8016,6995,5695,
4152,2437,604,-1268,-3110,-4841,-6397,-7725,-8768,-9493,-9886,-9952,-9702,-9176,-8418,-7475,-6428,-5302,-4170,-3060,
-2011,-1021,-98,776,1610,2446,3274,4120,4990,5870,6729,7538,8241,8799,9157,9264,9084,8601,7806,6718,
5352,3762,2017,165,-1702,-3528,-5224,-6732,-7993,-8969,-9614,-9932,-9919,-9606,-9013,-8210,-7233,-6161,-5028,-3898,
-2802,-1762,-788,116,985,1815,2642,3482,4339,5205,6086,6942,7730,8404,8920,9220,9264,9017,8459,7594,
6443,5021,3390,1615,-246,-2111,-3911,-5572,-7022,-8219,-9117,-9684,-9924,-9838,-9456,-8815,-7961,-6953,-5862,-4727,
-3601,-2517,-1492,-534,365,1223,2049,2880,3720,4586,5458,6332,7174,7941,8580,9052,9294,9274,8953,8324,
7387,6170,4686,3018,1217,-648,-2507,-4279,-5898,-7293,-8429,-9246,-9744,-9911,-9747,-9304,-8604,-7713,-6685,-5576,
-4442,-3325,-2251,-1247,-303,580,1428,2250,3084,3925,4790,5666,6533,7362,8106,8706,9129,9312,9220,8826,
8124,7121,5837,4305,2595,770,-1102,-2949,-4688,-6262,-7600,-8665,-9414,-9832,-9918,-9685,-9177,-8433,-7502,-6451,
-5334,-4200,-3092,-2034,-1048,-120,753,1592,2415,3248,4096,4964,5836,6701,7514,8231,8791,9163,9288,9129,
8664,7888,6812,5469,3898,2158,313,-1558,-3387,-5091,-6622,-7896,-8884,-9558,-9892,-9903,-9603,-9029,-8234,-7271,
-6199,-5074,-3940,-2844,-1804,-824,85,951,1786,2603,3446,4295,5170,6047,6899,7696,8380,8905,9222,9285,
9060,8523,7676,6540,5142,3521,1750,-101,-1971,-3779,-5446,-6915,-8129,-9054,-9642,-9903,-9831,-9473,-8845,-8008,
-7011,-5927,-4794,-3661,-2579,-1553,-589,308,1162,1995,2816,3652,4511,5386,6255,7097,7874,8527,9006,9267,
9262,8964,8358,7439,6233,4777,3115,1322,-543,-2404,-4187,-5816,-7231,-8380,-9229,-9745,-9926,-9792,-9361,-8677,
-7799,-6779,-5677,-4543,-3426,-2351,-1338,-396,487,1337,2161,2982,3825,4688,5563,6427,7260,8007,8626,9055,
9258,9189,8816,8134,7146,5876,4364,2667,842,-1027,-2873,-4630,-6211,-7570,-8651,-9426,-9865,-9971,-9764,-9272,
-8537,-7623,-6574,-5466,-4332,-3215,-2159,-1164,-228,647,1490,2312,3142,3992,4859,5738,6599,7418,8145,8726,
9104,9246,9106,8667,7906,6855,5519,3963,2224,382,-1487,-3320,-5038,-6579,-7877,-8884,-9585,-9941,-9970,-9693,
-9138,-8357,-7405,-6331,-5209,-4076,-2970,-1919,-934,-14,854,1691,2521,3356,4213,5090,5967,6827,7627,8322,
8862,9188,9271,9063,8550,7716,6593,5205,3602,1829,-24,-1894,-3707,-5395,-6877,-8112,-9050,-9672,-9950,-9907,
-9554,-8948,-8114,-7126,-6038,-4910,-3776,-2683,-1643,-675,232,1095,1932,2764,3604,4462,5341,6221,7072,7852,
8517,9014,9282,9299,9019,8426,7523,6330,4886,3236,1434,-423,-2289,-4077,-5727,-7157,-8330,-9195,-9738,-9943,
-9825,-9406,-8743,-7871,-6857,-5753,-4617,-3493,-2406,-1382,-430,461,1322,2157,2989,3833,4702,5582,6453,7292,
8054,8682,9127,9340,9290,8936,8273,7297,6038,4538,2846,1022,-843,-2706,-4465,-6067,-7442,-8549,-9336,-9804,
-9931,-9743,-9264,-8548,-7637,-6596,-5479,-4343,-3227,-2156,-1148,-210,673,1523,2358,3193,4042,4911,5793,6662,
7483,8216,8807,9201,9355,9236,8808,8068,7027,5711,4156,2431,589,-1288,-3131,-4856,-6414,-7731,-8764,-9481,
-9867,-9920,-9661,-9122,-8354,-7405,-6343,-5216,-4085,-2978,-1916,-929,-6,868,1709,2544,3378,4235,5109,5989,
6853,7658,8356,8910,9253,9343,9149,8656,7841,6733,5351,3756,1994,133,-1735,-3555,-5249,-6755,-8009,-8968,
-9605,-9916,-9891,-9561,-8962,-8150,-7171,-6088,-4954,-3824,-2725,-1685,-709,202,1066,1903,2735,3573,4432,5308,
6190,7037,7821,8493,9000,9287,9315,9055,8484,7605,6426,4992,3355,1567,-300,-2170,-3967,-5622,-7071,-8262,
-9147,-9709,-9940,-9840,-9445,-8793,-7936,-6930,-5828,-4690,-3568,-2482,-1454,-499,396,1252,2083,2915,3756,4615,
5495,6367,7206,7966,8604,9067,9297,9256,8926,8280,7330,6086,4603,2926,1110,-770,-2624,-4392,-6004,-7397,
-8520,-9332,-9815,-9966,-9802,-9341,-8632,-7736,-6697,-5588,-4450,-3338,-2263,-1251,-315,567,1413,2243,3073,3915,
4784,5663,6527,7352,8090,8686,9099,9271,9166,8756,8041,7022,5722,4183,2471,638,-1241,-3082,-4824,-6390,
-7725,-8776,-9512,-9915,-9996,-9749,-9229,-8472,-7538,-6482,-5362,-4220,-3121,-2059,-1068,-139,731,1569,2400,3233,
4077,4949,5828,6691,7497,8207,8766,9127,9238,9063,8591,7802,6712,5356,3771,2021,176,-1701,-3520,-5225,
-6737,-8010,-8989,-9645,-9972,-9968,-9658,-9074,-8269,-7304,-6226,-5095,-3958,-2864,-1821,-842,68,931,1766,2593,
3429,4280,5157,6035,6886,7680,8359,8877,9182,9229,8993,8447,7587,6427,5019,3392,1616,-244,-2114,-3913,
-5575,-7034,-8241,-9147,-9720,-9972,-9893,-9511,-8870,-8025,-7026,-5931,-4794,-3667,-2583,-1555,-591,307,1155,1987,
2816,3655,4509,5385,6266,7106,7873,8523,8994,9249,9230,8922,8299,7373,6154,4687,3021,1221,-646,-2506,
-4277,-5901,-7305,-8443,-9277,-9773,-9941,-9790,-9343,-8653,-7766,-6744,-5632,-4499,-3377,-2309,-1300,-353,528,1373,
2203,3028,3874,4732,5613,6481,7313,8053,8667,9091,9290,9206,8824,8127,7131,5854,4330,2628,811,-1063,
-2908,-4651,-6222,-7570,-8636,-9395,-9814,-9906,-9685,-9176,-8435,-7508,-6458,-5343,-4208,-3097,-2048,-1049,-127,749,
1583,2409,3236,4082,4946,5825,6692,7506,8221,8794,9170,9300,9148,8694,7929,6867,5526,3959,2219,379,
-1492,-3320,-5027,-6552,-7840,-8837,-9515,-9856,-9875,-9583,-9018,-8226,-7268,-6202,-5079,-3945,-2851,-1812,-839,74,
933,1764,2585,3415,4268,5132,6009,6862,7659,8345,8878,9200,9270,9047,8522,7684,6552,5157,3544,1778,
-76,-1948,-3754,-5423,-6898,-8117,-9046,-9647,-9913,-9856,-9496,-8867,-8037,-7045,-5961,-4831,-3710,-2622,-1601,-640,
252,1110,1932,2754,3585,4444,5314,6187,7032,7808,8464,8948,9213,9220,8931,8324,7420,6222,4769,3114,
1317,-545,-2407,-4186,-5816,-7237,-8392,-9245,-9767,-9957,-9829,-9405,-8724,-7847,-6832,-5731,-4598,-3484,-2409,-1397,
-455,429,1277,2099,2923,3762,4624,5492,6365,7195,7950,8568,9007,9214,9153,8789,8114,7137,5878,4372,
2676,859,-1009,-2862,-4615,-6202,-7563,-8653,-9429,-9876,-9990,-9787,-9304,-8576,-7660,-6622,-5508,-4374,-3263,-2203,
-1212,-276,594,1437,2260,3085,3932,4802,5677,6543,7358,8086,8671,9057,9206,9081,8641,7897,6851,5528,
3973,2247,407,-1463,-3300,-5024,-6560,-7861,-8879,-9582,-9948,-9987,-9717,-9168,-8390,-7441,-6378,-5255,-4121,-3017,
-1970,-986,-67,804,1639,2461,3290,4145,5021,5897,6755,7567,8262,8806,9143,9229,9034,8521,7706,6592,
5216,3612,1853,-3,-1869,-3683,-5367,-6856,-8093,-9043,-9663,-9957,-9918,-9578,-8971,-8144,-7157,-6075,-4940,-3808,
-2714,-1679,-710,202,1060,1894,2724,3562,4424,5300,6173,7025,7810,8476,8982,9263,9288,9020,8434,7549,
6371,4932,3288,1500,-359,-2221,-4020,-5664,-7094,-8274,-9148,-9690,-9907,-9792,-9389,-8726,-7859,-6844,-5742,-4611,
-3482,-2400,-1383,-429,468,1321,2156,2986,3825,4688,5569,6436,7276,8039,8671,9119,9347,9298,8958,8298,
7343,6097,4606,2916,1105,-769,-2620,-4388,-5990,-7375,-8484,-9286,-9756,-9895,-9709,-9244,-8528,-7618,-6587,-5478,
-4341,-3225,-2157,-1155,-215,668,1512,2339,3169,4014,4881,5760,6622,7445,8184,8775,9171,9340,9225,8809,
8078,7050,5744,4200,2475,639,-1232,-3074,-4813,-6366,-7686,-8728,-9450,-9843,-9905,-9649,-9118,-8354,-7411,-6355,
-5231,-4094,-2987,-1934,-947,-23,849,1689,2518,3349,4203,5074,5952,6809,7619,8325,8880,9228,9330,9149,
8660,7860,6760,5393,3804,2049,197,-1674,-3493,-5191,-6697,-7956,-8919,-9567,-9878,-9869,-9536,-8952,-8143,-7164,
-6085,-4956,-3824,-2725,-1684,-717,191,1058,1895,2718,3557,4411,5290,6165,7009,7803,8478,8991,9285,9322,
9070,8509,7631,6471,5043,3407,1622,-235,-2105,-3905,-5568,-7017,-8211,-9103,-9677,-9914,-9826,-9435,-8787,-7935,
-6927,-5838,-4704,-3580,-2495,-1470,-517,376,1235,2062,2887,3729,4586,5463,6336,7172,7938,8579,9038,9279,
9246,8920,8287,7336,6109,4629,2949,1142,-732,-2592,-4361,-5983,-7383,-8509,-9331,-9822,-9982,-9822,-9368,-8675,
-7784,-6752,-5643,-4511,-3394,-2326,-1316,-379,504,1354,2179,3005,3847,4712,5592,6456,7277,8025,8629,9042,
9221,9123,8728,8019,7003,5710,4181,2465,632,-1246,-3086,-4834,-6408,-7743,-8804,-9548,-9967,-10045,-9817,-9300,
-8557,-7622,-6568,-5444,-4316,-3202,-2144,-1150,-224,653,1496,2328,3151,4006,4875,5756,6622,7430,8152,8717,
9080,9200,9038,8570,7788,6704,5356,3778,2033,184,-1689,-3516,-5220,-6746,-8022,-9009,-9676,-10013,-10019,-9713,
-9137,-8342,-7373,-6297,-5165,-4034,-2934,-1888,-903,13,885,1721,2551,3386,4247,5120,6006,6859,7655,8344,
8868,9178,9234,9003,8463,7609,6459,5050,3431,1655,-206,-2079,-3884,-5554,-7026,-8238,-9153,-9745,-10003,-9936,
-9563,-8930,-8091,-7091,-5997,-4864,-3733,-2642,-1612,-641,260,1119,1958,2786,3630,4491,5366,6248,7090,7860,
8515,8995,9252,9241,8932,8319,7397,6179,4720,3056,1252,-618,-2480,-4260,-5889,-7310,-8456,-9296,-9809,-9990,
-9849,-9418,-8728,-7847,-6821,-5712,-4571,-3449,-2369,-1352,-400,489,1342,2175,3008,3851,4719,5597,6469,7303,
8048,8668,9096,9289,9214,8838,8146,7152,5875,4361,2660,832,-1044,-2895,-4643,-6230,-7590,-8666,-9434,-9869,
-9972,-9757,-9261,-8519,-7600,-6547,-5427,-4286,-3174,-2105,-1104,-164,712,1558,2391,3225,4076,4946,5828,6696,
7514,8230,8812,9190,9326,9184,8734,7975,6909,5575,4015,2277,433,-1443,-3278,-4993,-6529,-7826,-8833,-9520,
-9874,-9902,-9614,-9055,-8270,-7313,-6239,-5108,-3971,-2865,-1810,-826,98,966,1810,2639,3479,4326,5208,6084,
6949,7746,8437,8976,9304,9376,9165,8640,7813,6685,5291,3680,1917,60,-1813,-3622,-5300,-6786,-8017,-8951,
-9560,-9835,-9789,-9435,-8819,-7987,-7001,-5911,-4775,-3645,-2553,-1521,-551,357,1216,2049,2879,3718,4574,5452,
6327,7176,7951,8611,9105,9374,9376,9094,8497,7599,6406,4952,3303,1506,-363,-2227,-4013,-5650,-7081,-8247,
-9108,-9643,-9844,-9721,-9305,-8632,-7759,-6747,-5644,-4504,-3384,-2308,-1292,-342,548,1396,2226,3053,3894,4753,
5633,6499,7335,8088,8711,9157,9370,9308,8954,8284,7314,6051,4554,2863,1043,-830,-2683,-4441,-6035,-7409,
-8506,-9290,-9746,-9868,-9677,-9198,-8474,-7563,-6526,-5410,-4283,-3162,-2104,-1102,-173,708,1545,2369,3197,4045,
4907,5785,6647,7468,8196,8782,9179,9331,9203,8780,8040,7005,5681,4132,2409,571,-1302,-3135,-4864,-6411,
-7719,-8750,-9451,-9832,-9881,-9614,-9074,-8300,-7355,-6297,-5174,-4037,-2935,-1891,-909,10,875,1707,2532,3361,
4208,5076,5955,6808,7612,8310,8858,9202,9297,9101,8604,7796,6689,5316,3717,1966,113,-1757,-3576,-5262,
-6758,-8004,-8960,-9590,-9890,-9860,-9527,-8930,-8110,-7135,-6054,-4924,-3800,-2710,-1681,-713,191,1048,1873,2695,
3529,4382,5250,6124,6974,7755,8423,8931,9219,9247,8984,8412,7530,6363,4926,3292,1509,-353,-2220,-4011,
-5659,-7103,-8288,-9170,-9722,-9946,-9848,-9448,-8788,-7930,-6925,-5831,-4698,-3575,-2502,-1483,-534,357,1204,2033,
2855,3689,4548,5422,6294,7135,7890,8523,8984,9217,9177,8844,8203,7252,6021,4531,2858,1051,-813,-2669,
-4431,-6038,-7421,-8539,-9344,-9821,-9964,-9791,-9326,-8613,-7716,-6681,-5577,-4439,-3321,-2262,-1254,-317,560,1402,
2223,3050,3897,4758,5635,6505,7323,8061,8656,9071,9242,9141,8737,8022,7005,5711,4172,2463,634,-1235,
-3077,-4810,-6371,-7695,-8742,-9473,-9872,-9937,-9702,-9168,-8413,-7478,-6419,-5308,-4168,-3060,-2008,-1020,-97,770,
1609,2428,3262,4111,4974,5850,6715,7523,8232,8789,9152,9261,9088,8609,7820,6731,5379,3790,2048,198,
-1673,-3495,-5190,-6706,-7967,-8947,-9606,-9924,-9916,-9604,-9019,-8215,-7246,-6171,-5046,-3913,-2815,-1778,-805,108,
969,1799,2625,3463,4316,5190,6063,6918,7708,8389,8900,9209,9255,9014,8461,7603,6445,5031,3404,1623,
-235,-2102,-3903,-5565,-7024,-8226,-9134,-9712,-9956,-9873,-9496,-8858,-8008,-7006,-5912,-4783,-3655,-2570,-1545,-584,
314,1170,2000,2828,3669,4531,5407,6281,7126,7897,8540,9006,9256,9237,8921,8296,7360,6141,4668,2996,
1193,-675,-2539,-4317,-5938,-7343,-8475,-9308,-9812,-9981,-9827,-9383,-8688,-7803,-6772,-5674,-4538,-3416,-2341,-1334,
-388,498,1348,2174,3004,3852,4719,5593,6466,7294,8038,8647,9064,9253,9167,8777,8076,7071,5788,4260,
2545,717,-1153,-3002,-4751,-6324,-7674,-8739,-9495,-9922,-10011,-9790,-9286,-8542,-7612,-6559,-5444,-4313,-3198,-2136,
-1144,-210,662,1506,2337,3166,4017,4891,5766,6630,7447,8163,8732,9101,9229,9072,8609,7835,6766,5420,
3850,2099,254,-1618,-3447,-5159,-6687,-7974,-8971,-9649,-9994,-10007,-9712,-9148,-8352,-7394,-6318,-5194,-4056,-2953,
-1905,-923,-2,867,1712,2535,3372,4234,5108,5988,6847,7643,8331,8864,9180,9244,9023,8487,7645,6510,
5103,3493,1715,-141,-2005,-3816,-5490,-6967,-8185,-9108,-9710,-9972,-9909,-9551,-8924,-8087,-7091,-6001,-4866,-3737,
-2644,-1607,-644,267,1124,1962,2793,3633,4496,5377,6252,7100,7875,8532,9015,9275,9275,8984,8370,7461,
6255,4799,3138,1340,-526,-2389,-4173,-5808,-7224,-8382,-9231,-9756,-9947,-9815,-9386,-8705,-7830,-6810,-5701,-4568,
-3444,-2365,-1350,-403,495,1343,2172,3005,3846,4713,5585,6458,7292,8039,8662,9091,9294,9227,8857,8178,
7195,5926,4415,2716,891,-980,-2832,-4586,-6176,-7535,-8621,-9399,-9847,-9960,-9754,-9265,-8537,-7619,-6571,-5453,
-4319,-3209,-2138,-1140,-202,677,1520,2350,3181,4028,4899,5774,6638,7453,8180,8764,9146,9287,9154,8714,
7965,6911,5590,4026,2296,456,-1418,-3255,-4973,-6514,-7817,-8835,-9533,-9901,-9934,-9660,-9109,-8332,-7377,-6311,
-5183,-4048,-2945,-1890,-909,10,883,1723,2551,3383,4233,5102,5985,6839,7642,8333,8875,9208,9286,9085,
8571,7751,6632,5248,3647,1884,28,-1840,-3658,-5342,-6831,-8068,-9014,-9637,-9929,-9889,-9544,-8935,-8114,-7125,
-6042,-4911,-3782,-2690,-1651,-683,220,1083,1918,2746,3579,4435,5311,6187,7034,7816,8480,8972,9252,9267,
8996,8407,7514,6331,4887,3238,1448,-414,-2281,-4070,-5717,-7150,-8325,-9193,-9742,-9959,-9845,-9435,-8772,-7910,
-6896,-5798,-4664,-3546,-2458,-1438,-485,405,1258,2086,2916,3753,4617,5496,6368,7195,7957,8583,9038,9256,
9206,8861,8205,7240,5989,4498,2811,998,-877,-2729,-4493,-6096,-7472,-8576,-9377,-9840,-9978,-9790,-9320,-8603,
-7699,-6660,-5548,-4409,-3299,-2231,-1224,-286,595,1440,2265,3105,3942,4812,5691,6562,7380,8114,8704,9107,
9270,9152,8741,8011,6973,5669,4129,2402,570,-1304,-3141,-4872,-6424,-7741,-8778,-9494,-9880,-9943,-9685,-9148,
-8387,-7444,-6378,-5252,-4117,-3015,-1959,-971,-45,827,1671,2495,3331,4181,5054,5933,6796,7598,8304,8854,
9207,9305,9119,8632,7832,6725,5363,3768,2016,167,-1704,-3526,-5217,-6720,-7977,-8941,-9582,-9890,-9879,-9549,
-8955,-8143,-7166,-6086,-4956,-3823,-2735,-1691,-717,194,1058,1891,2720,3557,4414,5281,6162,7013,7796,8473,
8980,9276,9309,9052,8492,7619,6447,5027,3392,1613,-250,-2124,-3914,-5567,-7020,-8207,-9097,-9666,-9899,-9809,
-9413,-8764,-7910,-6906,-5810,-4674,-3547,-2465,-1444,-484,414,1262,2101,2925,3766,4622,5496,6368,7213,7969,
8612,9072,9307,9278,8948,8317,7374,6137,4659,2986,1180,-702,-2552,-4325,-5930,-7329,-8451,-9269,-9752,-9910,
-9749,-9286,-8588,-7693,-6662,-5551,-4415,-3298,-2227,-1221,-276,605,1450,2280,3106,3954,4816,5690,6557,7379,
8117,8723,9132,9315,9213,8809,8104,7094,5798,4270,2560,730,-1143,-2988,-4726,-6290,-7628,-8683,-9422,-9833,
-9910,-9677,-9160,-8403,-7474,-6419,-5298,-4163,-3052,-2004,-1008,-79,790,1630,2458,3288,4136,4999,5876,6738,
7549,8259,8820,9183,9301,9137,8660,7882,6800,5448,3869,2128,282,-1591,-3416,-5122,-6637,-7910,-8899,-9559,
-9895,-9903,-9598,-9021,-8220,-7258,-6183,-5057,-3924,-2822,-1787,-815,101,960,1799,2623,3454,4309,5171,6046,
6898,7687,8367,8891,9196,9254,9014,8470,7616,6475,5059,3445,1664,-189,-2062,-3865,-5534,-6996,-8212,-9124,
-9710,-9965,-9896,-9528,-8891,-8048,-7056,-5963,-4832,-3706,-2619,-1597,-637,263,1114,1947,2773,3606,4463,5332,
6206,7047,7816,8462,8936,9191,9184,8875,8264,7340,6131,4665,3008,1205,-657,-2522,-4297,-5918,-7327,-8471,
-9308,-9819,-9991,-9849,-9418,-8729,-7841,-6816,-5713,-4577,-3454,-2384,-1365,-424,466,1314,2140,2969,3811,4678,
5550,6419,7250,7998,8610,9042,9240,9165,8785,8098,7105,5837,4321,2623,803,-1063,-2909,-4658,-6234,-7584,
-8657,-9418,-9847,-9945,-9731,-9232,-8492,-7563,-6519,-5398,-4263,-3147,-2087,-1092,-157,718,1561,2388,3227,4074,
4939,5816,6681,7500,8221,8790,9172,9304,9162,8709,7953,6895,5560,3995,2263,425,-1446,-3276,-4990,-6519,
-7810,-8817,-9499,-9853,-9874,-9591,-9031,-8244,-7282,-6218,-5090,-3957,-2853,-1807,-827,93,959,1792,2621,3454,
4307,5179,6049,6908,7707,8395,8929,9255,9325,9111,8586,7754,6629,5232,3622,1858,4,-1860,-3674,-5356,
-6834,-8060,-8995,-9601,-9879,-9828,-9474,-8856,-8029,-7039,-5953,-4822,-3697,-2603,-1579,-611,290,1150,1985,2814,
3650,4505,5382,6252,7096,7879,8530,9021,9292,9302,9018,8416,7516,6324,4872,3221,1432,-437,-2295,-4083,
-5717,-7144,-8302,-9161,-9694,-9892,-9762,-9349,-8672,-7798,-6780,-5682,-4541,-3422,-2339,-1323,-376,519,1376,2203,
3036,3878,4746,5617,6488,7325,8078,8703,9143,9357,9301,8944,8271,7299,6043,4544,2852,1034,-836,-2681,
-4443,-6039,-7403,-8499,-9283,-9738,-9862,-9660,-9180,-8458,-7549,-6505,-5390,-4253,-3139,-2074,-1071,-135,747,1595,
2422,3254,4100,4967,5849,6711,7530,8254,8841,9235,9384,9255,8826,8079,7038,5721,4165,2436,599,-1274,
-3112,-4841,-6388,-7695,-8724,-9439,-9818,-9863,-9596,-9056,-8289,-7339,-6275,-5159,-4021,-2920,-1863,-879,40,914,
1748,2576,3408,4262,5133,6003,6859,7659,8358,8898,9240,9328,9128,8625,7804,6690,5311,3715,1951,98,
-1775,-3598,-5292,-6792,-8038,-8996,-9631,-9930,-9907,-9574,-8976,-8161,-7181,-6101,-4970,-3839,-2742,-1707,-738,172,
1036,1871,2697,3535,4390,5264,6137,6984,7768,8433,8925,9212,9237,8966,8389,7499,6320,4886,3247,1450,
-414,-2279,-4077,-5733,-7177,-8357,-9240,-9800,-10027,-9926,-9523,-8870,-8016,-7005,-5904,-4773,-3645,-2560,-1535,-581,
313,1173,2011,2837,3679,4539,5424,6292,7125,7885,8519,8972,9200,9158,8820,8167,7212,5974,4483,2804,
987,-883,-2737,-4509,-6118,-7508,-8619,-9429,-9905,-10053,-9877,-9413,-8708,-7807,-6769,-5652,-4519,-3395,-2326,-1314,
-370,513,1367,2195,3028,3881,4741,5626,6491,7316,8053,8647,9048,9218,9114,8704,7981,6951,5650,4117,
2402,568,-1305,-3142,-4881,-6442,-7774,-8818,-9547,-9947,-10015,-9770,-9244,-8488,-7550,-6490,-5366,-4234,-3119,-2062,
-1059,-138,738,1578,2415,3247,4102,4966,5851,6709,7516,8221,8780,9127,9238,9063,8586,7788,6692,5337,
3753,2001,152,-1716,-3539,-5236,-6751,-8014,-8987,-9643,-9967,-9956,-9643,-9057,-8257,-7280,-6202,-5074,-3943,-2841,
-1798,-819,91,957,1794,2625,3456,4315,5185,6066,6913,7693,8379,8888,9185,9230,8986,8429,7567,6406,
4991,3366,1583,-276,-2146,-3938,-5604,-7063,-8263,-9160,-9742,-9987,-9902,-9521,-8881,-8035,-7034,-5940,-4805,-3684,
-2596,-1570,-612,281,1142,1976,2799,3639,4499,5378,6251,7084,7851,8495,8967,9204,9183,8865,8242,7302,
6080,4610,2945,1140,-728,-2585,-4358,-5975,-7379,-8508,-9334,-9836,-10002,-9842,-9397,-8704,-7815,-6786,-5676,-4547,
-3431,-2354,-1349,-395,487,1329,2159,2991,3836,4699,5573,6449,7271,8017,8627,9045,9228,9143,8755,8063,
7055,5771,4248,2549,719,-1149,-2988,-4726,-6300,-7644,-8707,-9452,-9877,-9966,-9738,-9227,-8481,-7555,-6504,-5382,
-4250,-3139,-2080,-1082,-149,721,1565,2393,3225,4065,4939,5816,6680,7491,8207,8778,9147,9273,9120,8662,
7894,6822,5472,3906,2171,325,-1545,-3367,-5077,-6601,-7884,-8878,-9550,-9896,-9908,-9610,-9044,-8253,-7293,-6219,
-5094,-3965,-2868,-1814,-838,80,940,1779,2607,3441,4290,5167,6041,6898,7689,8376,8901,9218,9279,9057,
8524,7681,6538,5135,3524,1758,-104,-1970,-3776,-5444,-6922,-8146,-9062,-9662,-9928,-9867,-9504,-8881,-8046,-7062,
-5971,-4839,-3716,-2622,-1592,-625,275,1131,1965,2792,3633,4490,5367,6239,7084,7850,8505,8987,9251,9242,
8955,8346,7433,6227,4769,3116,1319,-550,-2406,-4188,-5818,-7235,-8394,-9240,-9758,-9950,-9821,-9392,-8711,-7833,
-6820,-5714,-4573,-3454,-2374,-1355,-407,487,1332,2167,2997,3847,4707,5588,6455,7287,8034,8657,9094,9293,
9226,8859,8180,7201,5936,4429,2731,912,-959,-2802,-4556,-6141,-7500,-8590,-9358,-9802,-9920,-9711,-9218,-8489,
-7571,-6530,-5409,-4270,-3158,-2087,-1087,-147,739,1580,2408,3246,4095,4965,5845,6710,7526,8244,8827,9213,
9355,9218,8780,8023,6973,5647,4086,2361,523,-1356,-3183,-4903,-6449,-7741,-8763,-9464,-9822,-9863,-9588,-9038,
-8257,-7312,-6243,-5119,-3986,-2878,-1828,-837,85,956,1798,2625,3467,4312,5188,6064,6919,7716,8405,8942,
9276,9354,9143,8629,7808,6684,5300,3689,1928,74,-1799,-3613,-5297,-6787,-8031,-8974,-9595,-9885,-9849,-9511,
-8902,-8083,-7102,-6017,-4888,-3759,-2662,-1630,-657,253,1112,1939,2769,3604,4459,5331,6208,7052,7830,8488,
8980,9251,9265,8983,8401,7496,6311,4865,3217,1425,-443,-2311,-4100,-5742,-7181,-8352,-9232,-9774,-9980,-9880,
-9471,-8809,-7944,-6932,-5841,-4704,-3585,-2501,-1476,-525,370,1217,2053,2879,3725,4577,5457,6329,7157,7913,
8535,8981,9201,9146,8794,8138,7167,5921,4420,2734,922,-950,-2809,-4566,-6165,-7538,-8651,-9444,-9909,-10045,
-9863,-9392,-8674,-7766,-6738,-5624,-4493,-3374,-2308,-1300,-357,529,1374,2199,3034,3882,4746,5625,6501,7314,
8046,8627,9027,9190,9072,8647,7918,6881,5578,4029,2311,478,-1383,-3229,-4950,-6507,-7821,-8857,-9575,-9964,
-10019,-9766,-9229,-8462,-7517,-6455,-5333,-4202,-3090,-2040,-1046,-121,753,1592,2419,3262,4113,4986,5861,6722,
7525,8228,8773,9121,9222,9029,8539,7738,6635,5272,3675,1921,75,-1793,-3619,-5300,-6809,-8061,-9029,-9667,
-9975,-9957,-9638,-9044,-8233,-7255,-6182,-5052,-3916,-2818,-1783,-808,105,968,1802,2633,3470,4332,5197,6079,
6928,7713,8382,8886,9183,9217,8962,8398,7521,6358,4935,3294,1518,-341,-2207,-4003,-5652,-7101,-8292,-9184,
-9750,-9975,-9886,-9497,-8849,-7990,-6985,-5890,-4760,-3631,-2541,-1523,-554,336,1202,2031,2857,3706,4567,5438,
6318,7157,7924,8564,9018,9261,9232,8902,8267,7330,6101,4625,2950,1140,-722,-2574,-4339,-5948,-7337,-8457,
-9275,-9761,-9914,-9745,-9295,-8586,-7693,-6658,-5548,-4413,-3287,-2213,-1205,-252,631,1487,2316,3149,3995,4866,
5746,6612,7437,8182,8783,9191,9372,9281,8879,8174,7166,5876,4353,2644,815,-1048,-2890,-4623,-6184,-7516,
-8566,-9310,-9721,-9791,-9554,-9036,-8281,-7355,-6295,-5176,-4042,-2938,-1866,-877,58,932,1783,2607,3447,4292,
5167,6041,6909,7714,8431,8985,9346,9466,9305,8829,8048,6972,5624,4051,2308,462,-1401,-3227,-4927,-6443,
-7714,-8694,-9364,-9690,-9695,-9391,-8821,-8021,-7057,-5980,-4861,-3721,-2625,-1581,-607,309,1176,2018,2836,3671,
4524,5399,6271,7120,7908,8585,9103,9407,9464,9231,8681,7828,6684,5277,3657,1877,27,-1840,-3640,-5307,
-6775,-7986,-8898,-9489,-9746,-9672,-9299,-8672,-7832,-6842,-5749,-4625,-3500,-2417,-1390,-433,466,1322,2153,2974,
3811,4672,5541,6408,7255,8018,8656,9134,9379,9364,9060,8438,7518,6303,4841,3184,1370,-492,-2352,-4127,
-5754,-7161,-8303,-9142,-9664,-9834,-9692,-9267,-8582,-7700,-6684,-5580,-4450,-3334,-2262,-1256,-317,573,1417,2244,
3067,3906,4766,5641,6507,7333,8072,8680,9100,9292,9214,8837,8140,7146,5872,4361,2653,828,-1042,-2886,
-4638,-6219,-7567,-8645,-9411,-9847,-9954,-9740,-9247,-8512,-7594,-6555,-5438,-4311,-3202,-2144,-1151,-218,662,1499,
2323,3149,3996,4857,5733,6589,7401,8120,8690,9062,9196,9047,8595,7830,6767,5435,3872,2133,285,-1582,
-3413,-5129,-6658,-7948,-8957,-9646,-10006,-10031,-9745,-9192,-8408,-7459,-6396,-5272,-4140,-3040,-1995,-1018,-97,765,
1608,2434,3266,4121,4988,5861,6708,7512,8193,8725,9048,9113,8899,8376,7538,6411,5015,3413,1642,-209,
-2080,-3887,-5568,-7049,-8275,-9208,-9821,-10101,-10050,-9700,-9088,-8263,-7274,-6189,-5058,-3935,-2843,-1810,-844,59,
926,1753,2587,3420,4279,5155,6030,6876,7652,8306,8799,9061,9061,8779,8184,7277,6091,4641,2989,1196,
-668,-2530,-4312,-5950,-7371,-8530,-9392,-9920,-10124,-10001,-9579,-8910,-8042,-7020,-5923,-4787,-3665,-2586,-1560,-603,
288,1146,1981,2813,3655,4522,5397,6271,7102,7860,8476,8924,9134,9073,8714,8053,7079,5829,4328,2641,
822,-1040,-2892,-4636,-6238,-7594,-8690,-9471,-9926,-10041,-9848,-9362,-8639,-7732,-6683,-5573,-4434,-3322,-2252,-1245,
-303,580,1439,2265,3095,3950,4825,5702,6568,7389,8121,8704,9097,9245,9121,8695,7962,6907,5600,4059,
2338,504,-1365,-3198,-4917,-6463,-7770,-8789,-9497,-9871,-9921,-9660,-9114,-8341,-7395,-6332,-5207,-4073,-2971,-1914,
-923,-3,875,1719,2552,3385,4236,5103,5984,6840,7641,8338,8886,9223,9312,9110,8618,7804,6698,5331,
3736,1981,129,-1739,-3550,-5235,-6729,-7969,-8918,-9554,-9849,-9831,-9500,-8891,-8078,-7102,-6022,-4894,-3758,-2665,
-1627,-657,251,1116,1959,2784,3626,4476,5351,6226,7074,7851,8519,9021,9304,9325,9058,8493,7610,6434,
5005,3366,1588,-276,-2139,-3928,-5570,-7018,-8195,-9076,-9626,-9850,-9750,-9352,-8695,-7841,-6833,-5735,-4597,-3475,
-2395,-1369,-413,480,1342,2170,3001,3843,4700,5578,6451,7291,8043,8677,9131,9363,9319,8981,8337,7389,
6149,4668,2996,1186,-682,-2536,-4290,-5899,-7285,-8396,-9208,-9676,-9828,-9656,-9195,-8486,-7588,-6556,-5448,-4316,
-3202,-2131,-1130,-179,700,1545,2372,1,-79,-979,-2279,-2710,-2483,-1487,-481,270,1445,3592,6635,9570,
11563,12442,12860,13324,13356,12134,9359,5840,2443,-613,-3712,-7380,-11654,-16104,-19712,-21975,-23290,-23981,-24284,-23692,
-21647,-18499,-14799,-11345,-8544,-6105,-3878,-1648,658,2900,4957,6911,9261,12043,14931,17730,19686,20456,20984,21741,
22180,21714,20179,17664,14686,12047,9485,6215,2085,-2680,-7278,-10805,-13368,-15674,-17886,-19614,-20290,-19503,-17575,-15277,
-12827,-10016,-6879,-3480,-93,2628,4686,6332,7056,6931,7054,7351,6979,6760,7182,7419,7492,8084,8685,8998,
9396,9783,10029,10218,9732,8250,6678,5230,3357,1451,-582,-3219,-5511,-6746,-7292,-7590,-7722,-7606,-6923,-5686,
-4363,-2717,-801,645,1665,2467,2519,1852,1155,713,342,-27,-665,-1456,-1799,-1827,-1575,-892,22,935,
1788,2539,3032,3312,3622,3933,3879,3165,1977,713,-451,-1564,-2755,-4120,-5318,-6039,-6218,-5974,-5692,-5480,
-4877,-3776,-2564,-1442,-505,280,971,1294,1140,583,-334,-1376,-2184,-2648,-2794,-2679,-2216,-1433,-297,1387,
3672,6335,8940,10927,12131,12710,12954,12538,11066,8610,5080,1043,-2598,-5786,-8927,-11940,-14763,-17163,-18504,-18814,
-18623,-18274,-17700,-16516,-14541,-12052,-9673,-7460,-5381,-3324,-1221,775,2474,3758,4775,5970,7702,9955,12413,14541,
16181,17397,18343,19107,19261,18356,16533,14157,11689,9364,6826,3672,-80,-3844,-6968,-9422,-11412,-13056,-14474,-15336,
-15013,-13698,-12104,-10237,-7895,-5785,-3769,-1325,813,2201,3445,4596,5194,5393,5151,4423,3831,3528,3306,3559,
4351,5178,5977,6852,7444,7907,8409,8470,7827,6511,4689,2880,1127,-976,-3169,-4989,-6571,-7725,-8215,-8593,
-9137,-9388,-8989,-7953,-6379,-4711,-3273,-1843,-471,662,1467,1857,1851,1545,1020,381,-323,-967,-1287,-1121,
-553,367,1664,3079,4287,5274,6053,6740,7288,7303,6552,5100,3219,1418,-168,-1905,-4060,-6502,-8722,-10299,
-11261,-11911,-12377,-12620,-12438,-11571,-10011,-8341,-7007,-6027,-5190,-4397,-3569,-2625,-1721,-885,126,1422,3088,5011,
6885,8479,10005,11591,13158,14637,15479,15245,14225,12875,11340,9505,6989,3707,170,-3005,-5501,-7510,-9617,-12007,
-14141,-15414,-15616,-14910,-13746,-12381,-10654,-8393,-5746,-3084,-808,1005,2483,3631,4505,5142,5491,5654,5793,6035,
6555,7286,8061,8699,9123,9559,10115,10613,10669,9972,8570,6882,5237,3605,1668,-764,-3431,-5833,-7678,-9002,
-10023,-10917,-11543,-11535,-10726,-9344,-7763,-6229,-4766,-3291,-1868,-654,219,696,853,816,666,476,334,315,
516,1049,1979,3236,4642,5939,6997,7872,8678,9395,9682,9141,7792,6014,4223,2531,735,-1442,-3997,-6501,
-8473,-9772,-10686,-11488,-12165,-12404,-11949,-10863,-9449,-8039,-6718,-5399,-4059,-2805,-1769,-995,-400,216,1008,2063,
3297,4560,5736,6893,8211,9758,11336,12540,13062,12938,12484,11885,10912,9172,6529,3342,199,-2564,-5039,-7535,
-10167,-12587,-14290,-15013,-14944,-14452,-13697,-12533,-10777,-8511,-6097,-3868,-1945,-317,1081,2249,3107,3636,3914,4046,
4200,4525,5097,5852,6649,7416,8241,9216,10234,10949,11054,10512,9603,8591,7455,5925,3766,1144,-1489,-3739,
-5572,-7217,-8822,-10223,-11083,-11154,-10532,-9512,-8326,-7007,-5523,-3929,-2411,-1155,-245,350,697,844,849,795,
781,894,1234,1917,3009,4410,5862,7153,8261,9293,10234,10817,10672,9667,8069,6281,4482,2516,126,-2696,
-5563,-8037,-9950,-11460,-12811,-14009,-14736,-14686,-13855,-12536,-11048,-9503,-7838,-6018,-4145,-2406,-961,158,1017,1750,
2468,3239,4071,4961,5961,7190,8735,10456,12003,13051,13560,13736,13742,13456,12550,10832,8502,6004,3646,1397,
-1018,-3703,-6398,-8617,-10066,-10840,-11232,-11393,-11190,-10398,-9002,-7237,-5416,-3722,-2200,-836,307,1166,1713,1969,
2038,2029,2074,2292,2723,3306,4012,4874,5975,7264,8488,9323,9602,9505,9221,8743,7831,6234,4037,1631,
-595,-2534,-4359,-6240,-8090,-9523,-10270,-10323,-9934,-9338,-8548,-7454,-6045,-4493,-3034,-1826,-906,-240,204,446,
558,601,658,823,1234,1983,3082,4372,5686,6963,8282,9633,10776,11343,11120,10249,9058,7733,6130,3984,
1256,-1715,-4444,-6681,-8538,-10257,-11878,-13127,-13648,-13353,-12437,-11193,-9770,-8132,-6251,-4249,-2362,-771,451,1358,
2034,2557,3012,3442,3883,4404,5120,6121,7381,8690,9810,10669,11362,11987,12405,12283,11371,9737,7745,5702,
3637,1339,-1309,-4104,-6629,-8561,-9927,-10923,-11700,-12124,-11952,-11096,-9727,-8139,-6536,-4975,-3451,-2075,-970,-229,
172,311,272,160,83,121,320,695,1299,2205,3413,4733,5891,6699,7193,7494,7599,7276,6264,4543,
2439,321,-1656,-3625,-5771,-8025,-10063,-11544,-12372,-12724,-12798,-12603,-11965,-10791,-9207,-7478,-5828,-4341,-3003,-1814,
-825,-75,464,861,1226,1672,2303,3153,4164,5254,6399,7672,9078,10440,11417,11760,11492,10855,10010,8858,
7141,4784,2034,-673,-3074,-5209,-7284,-9351,-11176,-12389,-12828,-12615,-12008,-11150,-9964,-8380,-6512,-4593,-2874,-1464,
-330,571,1269,1770,2120,2378,2639,3009,3609,4476,5552,6674,7748,8796,9864,10823,11394,11304,10543,9360,
8019,6544,4769,2544,16,-2443,-4500,-6108,-7427,-8593,-9481,-9824,-9470,-8518,-7238,-5835,-4365,-2806,-1232,201,
1322,2092,2554,2783,2846,2817,2787,2836,3027,3450,4176,5222,6485,7732,8794,9631,10315,10824,10945,10404,
9125,7323,5332,3311,1169,-1255,-3932,-6551,-8747,-10372,-11540,-12414,-13005,-13117,-12588,-11466,-10011,-8481,-6989,-5543,
-4157,-2919,-1938,-1251,-804,-515,-269,35,466,1037,1743,2609,3703,5055,6535,7861,8772,9219,9328,9208,
8756,7742,6040,3835,1488,-743,-2859,-5038,-7315,-9482,-11176,-12164,-12505,-12421,-12029,-11274,-10032,-8344,-6432,-4569,
-2897,-1456,-235,731,1397,1787,1972,2061,2187,2461,2944,3641,4480,5407,6441,7605,8808,9811,10344,10309,
9835,9119,8188,6868,5001,2685,236,-2014,-3972,-5763,-7497,-9083,-10244,-10742,-10594,-9988,-9123,-8046,-6710,-5156,
-3556,-2117,-956,-88,538,964,1224,1368,1466,1607,1897,2445,3314,4452,5727,6974,8149,9276,10324,11086,
11281,10777,9711,8355,6861,5152,3075,619,-1939,-4245,-6104,-7571,-8812,-9839,-10461,-10452,-9786,-8655,-7309,-5869,
-4341,-2745,-1179,179,1224,1945,2416,2727,2960,3186,3463,3837,4372,5145,6206,7490,8790,9881,10666,11203,
11548,11596,11101,9907,8103,5992,3832,1672,-617,-3100,-5594,-7768,-9375,-10417,-11061,-11413,-11396,-10853,-9760,-8275,
-6669,-5117,-3687,-2390,-1267,-414,137,410,509,552,633,859,1262,1832,2570,3501,4663,5999,7301,8303,
8842,8973,8824,8397,7542,6087,4049,1699,-634,-2828,-4955,-7119,-9233,-11033,-12246,-12814,-12876,-12605,-12034,-11078,
-9698,-8044,-6337,-4790,-3464,-2358,-1458,-772,-303,-3,207,444,840,1481,2378,3457,4611,5819,7095,8411,
9591,10345,10475,10020,9173,8079,6667,4786,2414,-226,-2783,-5042,-7011,-8829,-10501,-11849,-12599,-12645,-12110,-11209,
-10074,-8700,-7081,-5311,-3602,-2134,-978,-111,533,1005,1361,1654,1937,2303,2854,3668,4752,5980,7181,8266,
9237,10119,10807,11054,10664,9642,8211,6600,4858,2873,572,-1917,-4277,-6243,-7761,-8940,-9879,-10482,-10555,-9998,
-8919,-7532,-6048,-4526,-2992,-1501,-171,878,1620,2093,2387,2597,2824,3115,3526,4084,4843,5872,7156,8554,
9835,10814,11479,11883,12023,11727,10795,9207,7171,4968,2767,513,-1887,-4386,-6727,-8625,-9952,-10800,-11306,-11476,
-11210,-10401,-9133,-7625,-6098,-4668,-3368,-2198,-1208,-453,56,378,605,870,1258,1843,2607,3510,4544,5750,
7110,8487,9612,10272,10419,10169,9617,8706,7269,5263,2843,331,-2037,-4233,-6361,-8450,-10319,-11685,-12398,-12499,
-12167,-11516,-10541,-9208,-7580,-5856,-4253,-2896,-1794,-936,-303,117,359,494,619,850,1290,1994,2923,3973,
5057,6163,7298,8350,9112,9353,8998,8179,7066,5712,4008,1867,-608,-3126,-5407,-7355,-9035,-10526,-11754,-12505,
-12623,-12134,-11221,-10054,-8714,-7208,-5597,-4031,-2671,-1601,-827,-289,75,335,564,815,1155,1678,2467,3550,
4874,6263,7553,8684,9658,10443,10863,10706,9883,8520,6867,5069,3091,843,-1643,-4142,-6360,-8128,-9476,-10502,
-11216,-11483,-11161,-10263,-8963,-7490,-5966,-4445,-2956,-1593,-452,396,972,1341,1615,1889,2248,2726,3354,4153,
5171,6419,7814,9154,10222,10917,11289,11382,11119,10339,8935,7009,4827,2610,419,-1817,-4123,-6345,-8225,-9553,
-10322,-10655,-10652,-10255,-9396,-8103,-6511,-4869,-3326,-1947,-758,226,949,1426,1697,1850,2001,2248,2681,3325,
4143,5101,6183,7412,8691,9840,10615,10890,10703,10175,9330,8083,6328,4120,1695,-676,-2860,-4899,-6853,-8649,
-10063,-10906,-11133,-10866,-10249,-9358,-8164,-6708,-5117,-3575,-2243,-1157,-315,305,736,1005,1197,1387,1678,2163,
2923,3945,5136,6372,7583,8763,9864,10722,11117,10896,10105,8922,7473,5746,3659,1219,-1371,-3822,-5949,-7744,
-9288,-10580,-11477,-11800,-11490,-10668,-9526,-8195,-6732,-5171,-3620,-2225,-1094,-256,314,702,974,1207,1471,1825,
2324,3052,4044,5271,6601,7851,8910,9744,10371,10697,10543,9771,8405,6649,4709,2659,437,-1968,-4434,-6695,
-8537,-9902,-10863,-11481,-11707,-11421,-10582,-9313,-7820,-6282,-4772,-3346,-2058,-986,-188,333,653,857,1046,1319,
1739,2326,3102,4092,5301,6689,8109,9336,10208,10694,10851,10671,10052,8868,7126,5004,2765,539,-1670,-3910,
-6118,-8090,-9591,-10527,-10955,-10992,-10666,-9925,-8755,-7265,-5654,-4101,-2711,-1534,-560,186,699,1020,1219,1402,
1675,2125,2804,3691,4726,5870,7107,8400,9606,10505,10907,10785,10241,9356,8127,6448,4315,1879,-596,-2902,
-5001,-6945,-8735,-10225,-11205,-11568,-11365,-10743,-9812,-8608,-7146,-5527,-3909,-2458,-1262,-330,371,870,1220,1474,
1708,2013,2476,3170,4125,5271,6495,7684,8796,9814,10630,11065,10950,10235,9052,7562,5836,3826,1501,-1038,
-3540,-5779,-7660,-9218,-10504,-11452,-11907,-11784,-11123,-10088,-8842,-7476,-6033,-4587,-3248,-2149,-1327,-765,-398,-145,
77,339,708,1223,1944,2911,4130,5503,6848,8011,8920,9569,9925,9870,9242,8008,6294,4322,2239,55,
-2271,-4687,-7003,-8972,-10466,-11501,-12147,-12412,-12228,-11527,-10364,-8909,-7356,-5837,-4402,-3086,-1962,-1078,-450,-31,
257,525,866,1353,2010,2846,3853,5035,6372,7746,8979,9870,10329,10394,10113,9443,8274,6561,4416,2074,
-265,-2521,-4727,-6870,-8826,-10377,-11370,-11805,-11780,-11381,-10610,-9447,-7960,-6303,-4674,-3203,-1939,-899,-85,511,
915,1195,1439,1760,2248,2956,3895,5005,6204,7469,8761,9981,10962,11493,11474,10966,10070,8843,7234,5207,
2834,329,-2075,-4249,-6210,-7978,-9490,-10573,-11075,-10982,-10416,-9503,-8334,-6936,-5372,-3771,-2290,-1037,-52,698,
1254,1667,1992,2302,2670,3181,3901,4890,6090,7395,8668,9817,10830,11636,12111,12070,11432,10248,8680,6859,
4810,2498,-39,-2625,-5004,-7030,-8678,-9993,-10974,-11523,-11513,-10941,-9912,-8612,-7169,-5664,-4150,-2722,-1484,-519,
179,667,1016,1321,1647,2059,2608,3315,4229,5365,6655,7965,9101,9961,10511,10765,10646,10040,8854,7148,
5108,2925,680,-1636,-4030,-6358,-8420,-10025,-11133,-11794,-12064,-11916,-11296,-10210,-8786,-7211,-5641,-4164,-2827,-1672,
-749,-73,389,698,957,1272,1727,2357,3176,4150,5277,6533,7857,9081,10014,10514,10569,10231,9530,8394,
6771,4689,2331,-77,-2405,-4628,-6760,-8730,-10370,-11499,-12048,-12084,-11699,-10955,-9853,-8427,-6793,-5120,-3570,-2225,
-1101,-202,493,1011,1404,1747,2131,2660,3394,4354,5480,6707,7944,9171,10322,11264,11803,11807,11267,10287,
8965,7319,5308,2958,425,-2066,-4339,-6341,-8092,-9586,-10702,-11293,-11283,-10746,-9823,-8624,-7218,-5661,-4055,-2542,
-1238,-199,575,1143,1558,1885,2190,2541,3016,3684,4586,5720,6989,8252,9396,10355,11106,11561,11575,11023,
9907,8347,6506,4467,2228,-199,-2712,-5101,-7165,-8828,-10100,-11008,-11522,-11528,-10983,-9978,-8665,-7204,-5695,-4206,
-2807,-1585,-613,87,560,881,1146,1424,1803,2326,3017,3895,4978,6227,7525,8702,9608,10178,10406,10276,
9708,8606,6964,4922,2672,362,-1970,-4319,-6632,-8729,-10432,-11623,-12319,-12576,-12424,-11827,-10789,-9391,-7801,-6196,
-4690,-3340,-2184,-1249,-561,-74,252,510,799,1209,1806,2602,3564,4665,5879,7158,8373,9347,9910,10003,
9660,8929,7820,6267,4272,1943,-512,-2896,-5140,-7235,-9155,-10787,-11961,-12574,-12634,-12233,-11469,-10377,-8988,-7397,
-5751,-4211,-2881,-1792,-944,-324,118,435,705,1006,1436,2064,2934,4010,5214,6456,7669,8807,9773,10413,
10562,10157,9262,7987,6399,4500,2283,-163,-2640,-4951,-6984,-8715,-10169,-11266,-11890,-11946,-11453,-10517,-9297,-7875,
-6330,-4737,-3217,-1886,-811,-6,572,987,1303,1604,1956,2418,3054,3918,5010,6273,7572,8763,9757,10517,
10983,11058,10616,9610,8116,6285,4252,2064,-277,-2712,-5078,-7175,-8864,-10125,-10985,-11450,-11450,-10939,-9950,-8615,
-7094,-5528,-3989,-2555,-1306,-295,452,949,1278,1527,1785,2130,2619,3277,4114,5124,6304,7568,8761,9713,
10325,10571,10453,9931,8936,7432,5488,3285,982,-1306,-3580,-5800,-7852,-9567,-10801,-11515,-11760,-11586,-11005,-10021,
-8697,-7145,-5550,-4049,-2715,-1580,-668,11,474,788,1025,1276,1644,2193,2960,3909,4998,6189,7434,8628,
9637,10289,10461,10163,9443,8348,6855,4947,2692,246,-2177,-4455,-6548,-8449,-10084,-11322,-12034,-12185,-11833,-11088,
-10029,-8700,-7167,-5566,-4030,-2687,-1579,-725,-89,367,704,987,1297,1715,2318,3152,4211,5414,6654,7849,
8939,9852,10471,10643,10276,9375,8054,6416,4503,2324,-78,-2550,-4901,-6974,-8709,-10113,-11166,-11787,-11880,-11422,
-10498,-9246,-7799,-6237,-4653,-3134,-1793,-707,111,688,1091,1393,1674,2005,2451,3055,3866,4904,6118,7413,
8622,9637,10392,10846,10943,10569,9662,8251,6447,4415,2240,-47,-2413,-4740,-6857,-8607,-9897,-10758,-11196,-11208,
-10740,-9802,-8499,-6978,-5387,-3839,-2398,-1131,-80,709,1265,1635,1915,2194,2559,3065,3754,4616,5649,6825,
8098,9325,10348,11024,11296,11172,10650,9689,8248,6352,4138,1786,-565,-2859,-5067,-7134,-8905,-10233,-11042,-11338,
-11190,-10637,-9697,-8409,-6877,-5252,-3693,-2285,-1102,-134,606,1138,1507,1796,2076,2454,2989,3731,4664,5734,
6879,8059,9194,10167,10822,11019,10719,9969,8831,7342,5483,3284,866,-1585,-3909,-6024,-7913,-9527,-10785,-11552,
-11766,-11457,-10727,-9669,-8364,-6871,-5294,-3754,-2389,-1264,-390,254,705,1032,1301,1589,1974,2519,3286,4274,
5429,6636,7802,8846,9706,10299,10497,10186,9340,8025,6375,4462,2319,-26,-2465,-4832,-6963,-8756,-10182,-11249,
-11906,-12080,-11724,-10883,-9675,-8255,-6724,-5158,-3663,-2303,-1174,-309,324,774,1113,1433,1798,2277,2902,3715,
4728,5923,7197,8423,9450,10190,10604,10661,10288,9410,8017,6206,4120,1897,-407,-2755,-5077,-7227,-9050,-10426,
-11334,-11790,-11816,-11389,-10508,-9233,-7709,-6086,-4486,-3006,-1690,-592,266,887,1319,1642,1949,2328,2849,3543,
4414,5432,6583,7812,9021,10056,10765,11060,10934,10408,9466,8088,6277,4117,1775,-587,-2873,-5047,-7065,-8832,
-10193,-11059,-11394,-11255,-10705,-9783,-8530,-7028,-5409,-3829,-2399,-1179,-191,569,1127,1523,1824,2115,2475,2994,
3709,4634,5713,6868,8043,9166,10142,10838,11107,10882,10168,9048,7580,5776,3655,1293,-1150,-3504,-5642,-7526,
-9131,-10395,-11215,-11513,-11275,-10579,-9536,-8236,-6762,-5195,-3654,-2254,-1079,-160,517,1009,1366,1662,1975,2364,
2903,3632,4582,5704,6908,8069,9095,9916,10473,10659,10380,9568,8277,6598,4663,2522,212,-2205,-4584,-6766,
-8609,-10080,-11146,-11818,-12032,-11748,-10978,-9825,-8419,-6901,-5357,-3872,-2525,-1393,-517,120,564,889,1179,1527,
1975,2581,3356,4318,5452,6693,7906,8958,9720,10141,10195,9842,9029,7720,5961,3895,1664,-633,-2945,-5222,
-7359,-9210,-10644,-11594,-12074,-12115,-11727,-10909,-9712,-8240,-6651,-5075,-3613,-2317,-1236,-382,244,681,999,1290,
1650,2150,2836,3700,4726,5869,7082,8286,9355,10125,10493,10416,9915,9006,7696,5964,3879,1567,-799,-3097,
-5260,-7244,-8990,-10380,-11287,-11673,-11551,-11003,-10079,-8844,-7365,-5759,-4164,-2708,-1465,-463,307,865,1266,1566,
1851,2196,2683,3370,4261,5325,6484,7645,8750,9725,10448,10794,10652,10017,8941,7502,5748,3708,1430,-969,
-3310,-5463,-7342,-8916,-10164,-10991,-11331,-11140,-10477,-9446,-8151,-6690,-5150,-3623,-2221,-1031,-98,589,1082,1431,
1717,2015,2388,2904,3607,4520,5625,6836,8034,9098,9955,10540,10784,10596,9902,8712,7110,5209,3110,861,
-1478,-3823,-6005,-7886,-9384,-10476,-11150,-11393,-11166,-10470,-9368,-7992,-6482,-4951,-3477,-2148,-1014,-121,530,986,
1316,1607,1939,2380,2977,3745,4691,5802,7025,8249,9341,10158,10621,10706,10383,9623,8394,6717,4686,2465,
165,-2133,-4378,-6499,-8370,-9856,-10871,-11395,-11467,-11103,-10342,-9209,-7796,-6241,-4683,-3236,-1963,-901,-71,538,
961,1266,1526,1847,2297,2937,3771,4767,5885,7079,8257,9326,10142,10573,10555,10090,9208,7944,6283,4267,
1999,-367,-2690,-4872,-6851,-8592,-9998,-10968,-11422,-11366,-10855,-9972,-8788,-7369,-5812,-4254,-2808,-1571,-574,184,
736,1127,1426,1700,2031,2496,3156,4020,5076,6240,7429,8548,9527,10271,10674,10614,10051,9025,7615,5892,
3901,1681,-675,-3023,-5210,-7133,-8737,-9991,-10854,-11246,-11132,-10531,-9533,-8258,-6806,-5278,-3761,-2352,-1143,-179,
534,1038,1400,1689,1981,2354,2862,3543,4423,5488,6677,7886,8971,9851,10453,10721,10585,9967,8856,7310,
5436,3350,1134,-1169,-3474,-5668,-7601,-9156,-10296,-11013,-11293,-11128,-10509,-9486,-8164,-6689,-5180,-3734,-2413,-1288,
-394,263,717,1036,1305,1600,2014,2582,3326,4243,5318,6507,7719,8820,9674,10178,10290,9994,9280,8119,
6520,4552,2345,41,-2258,-4489,-6590,-8479,-10016,-11108,-11709,-11832,-11528,-10827,-9769,-8431,-6921,-5393,-3964,-2701,
-1647,-816,-199,237,560,838,1153,1597,2222,3044,4042,5167,6358,7532,8607,9453,9937,9973,9544,8682,
7436,5823,3867,1651,-705,-3036,-5231,-7219,-8949,-10357,-11353,-11868,-11859,-11381,-10516,-9352,-7956,-6422,-4871,-3425,
-2156,-1134,-355,215,622,938,1229,1570,2038,2692,3548,4596,5771,6988,8133,9127,9899,10344,10365,9888,
8920,7547,5844,3880,1709,-606,-2940,-5147,-7102,-8724,-9989,-10856,-11284,-11221,-10672,-9710,-8453,-7016,-5503,-4003,
-2604,-1389,-418,309,825,1184,1469,1758,2123,2628,3302,4179,5236,6430,7665,8805,9735,10375,10679,10587,
10045,9012,7532,5695,3617,1401,-891,-3182,-5381,-7347,-8967,-10154,-10905,-11217,-11088,-10515,-9546,-8259,-6793,-5277,
-3819,-2497,-1360,-454,225,694,1025,1289,1581,1968,2520,3247,4152,5210,6373,7574,8699,9600,10172,10333,
10085,9412,8311,6796,4902,2741,449,-1844,-4059,-6140,-8016,-9572,-10702,-11351,-11508,-11218,-10533,-9500,-8194,-6714,
-5186,-3738,-2456,-1385,-539,88,528,852,1118,1425,1836,2420,3218,4197,5312,6488,7657,8730,9596,10140,
10251,9886,9079,7867,6301,4416,2252,-64,-2400,-4612,-6620,-8359,-9786,-10824,-11399,-11475,-11063,-10252,-9119,-7777,
-6293,-4774,-3338,-2073,-1036,-243,343,763,1086,1394,1740,2207,2845,3681,4717,5884,7099,8255,9259,10024,
10479,10529,10101,9176,7811,6105,4136,1968,-331,-2671,-4916,-6932,-8626,-9934,-10843,-11328,-11341,-10870,-9980,-8766,
-7358,-5863,-4372,-2979,-1759,-761,-2,534,915,1213,1513,1891,2397,3075,3935,4977,6154,7376,8531,9485,
10146,10461,10385,9876,8900,7465,5655,3580,1353,-927,-3197,-5382,-7366,-9028,-10269,-11059,-11395,-11291,-10760,-9831,
-8584,-7135,-5622,-4149,-2814,-1667,-732,-31,475,825,1106,1406,1796,2345,3085,4000,5067,6236,7439,8583,
9529,10154,10375,10167,9526,8474,7013,5179,3051,762,-1550,-3788,-5877,-7763,-9355,-10547,-11266,-11495,-11255,-10611,
-9622,-8347,-6894,-5373,-3905,-2590,-1487,-603,65,558,925,1236,1571,2007,2601,3400,4383,5508,6697,7870,
8942,9819,10385,10537,10213,9424,8211,6644,4767,2630,315,-2040,-4312,-6374,-8163,-9635,-10732,-11383,-11545,-11216,
-10459,-9371,-8051,-6588,-5083,-3627,-2324,-1242,-394,237,700,1062,1395,1776,2261,2903,3736,4755,5921,7139,
8305,9310,10080,10536,10607,10217,9340,8003,6303,4327,2163,-135,-2465,-4733,-6801,-8553,-9925,-10883,-11411,-11491,
-11097,-10273,-9110,-7720,-6232,-4749,-3344,-2098,-1062,-253,345,775,1120,1455,1866,2400,3097,3974,5021,6199,
7424,8595,9585,10280,10609,10544,10048,9110,7719,5935,3867,1634,-664,-2939,-5136,-7143,-8854,-10162,-11013,-11396,
-11334,-10844,-9964,-8764,-7335,-5816,-4322,-2947,-1756,-770,-2,570,990,1330,1674,2105,2683,3442,4380,5460,
6636,7833,8964,9921,10566,10813,10615,9981,8925,7474,5661,3548,1254,-1088,-3357,-5474,-7376,-8993,-10236,-11015,
-11300,-11113,-10497,-9526,-8279,-6837,-5312,-3823,-2467,-1308,-380,339,873,1283,1631,1994,2441,3046,3837,4822,
5951,7154,8325,9396,10272,10851,11030,10754,9994,8798,7229,5357,3232,936,-1439,-3738,-5849,-7682,-9188,-10316,
-11015,-11232,-10966,-10253,-9195,-7882,-6430,-4928,-3473,-2153,-1043,-164,498,980,1358,1698,2081,2566,3196,4008,
5009,6152,7373,8542,9564,10337,10799,10882,10519,9684,8384,6689,4707,2529,240,-2098,-4376,-6476,-8283,-9717,
-10727,-11296,-11418,-11085,-10316,-9199,-7833,-6353,-4868,-3458,-2205,-1156,-329,287,731,1080,1406,1796,2311,2983,
3829,4842,5982,7184,8338,9330,10045,10395,10338,9862,8945,7600,5853,3799,1557,-758,-3054,-5248,-7267,-9006,
-10367,-11278,-11709,-11680,-11230,-10389,-9223,-7822,-6314,-4817,-3428,-2219,-1220,-435,156,592,947,1294,1717,2271,
3010,3930,5002,6162,7350,8480,9441,10121,10411,10255,9651,8623,7206,5436,3370,1104,-1236,-3522,-5656,-7566,
-9187,-10446,-11269,-11596,-11444,-10849,-9893,-8658,-7229,-5711,-4211,-2833,-1647,-697,43,597,1019,1382,1744,2197,
2790,3559,4523,5639,6838,8023,9102,9989,10596,10820,10600,9904,8749,7215,5372,3285,1025,-1312,-3608,-5726,
-7583,-9097,-10231,-10942,-11183,-10953,-10271,-9222,-7924,-6471,-4974,-3521,-2208,-1086,-201,462,943,1308,1623,1978,
2432,3039,3815,4775,5894,7095,8275,9313,10118,10606,10725,10414,9644,8414,6775,4825,2666,393,-1916,-4175,
-6273,-8100,-9552,-10587,-11174,-11308,-11000,-10274,-9181,-7839,-6365,-4878,-3479,-2226,-1169,-346,271,714,1055,1361,
1723,2205,2857,3679,4669,5789,6976,8139,9154,9909,10308,10300,9861,8996,7703,6019,4010,1791,-518,-2812,
-5005,-7021,-8776,-10164,-11117,-11589,-11586,-11154,-10338,-9192,-7818,-6317,-4815,-3419,-2194,-1181,-388,210,650,1002,
1334,1736,2264,2968,3857,4907,6057,7234,8352,9320,10023,10363,10267,9708,8718,7339,5609,3586,1353,-971,
-3268,-5411,-7325,-8950,-10220,-11073,-11453,-11337,-10777,-9839,-8624,-7213,-5707,-4217,-2843,-1656,-693,44,599,1016,
1370,1723,2149,2714,3454,4381,5476,6665,7854,8942,9835,10455,10719,10543,9899,8799,7296,5479,3413,1182,
-1130,-3419,-5562,-7433,-8972,-10124,-10854,-11128,-10935,-10297,-9284,-7997,-6559,-5066,-3618,-2298,-1170,-264,410,907,
1274,1598,1948,2398,2995,3765,4710,5811,7005,8190,9254,10084,10597,10738,10456,9724,8537,6939,5009,2862,
592,-1703,-3956,-6056,-7897,-9386,-10448,-11062,-11214,-10921,-10218,-9155,-7823,-6349,-4852,-3433,-2166,-1097,-244,390,
853,1199,1511,1865,2334,2968,3776,4750,5856,7026,8181,9202,9983,10415,10439,10026,9185,7928,6281,4309,
2100,-211,-2516,-4719,-6742,-8506,-9925,-10917,-11436,-11474,-11073,-10280,-9166,-7809,-6324,-4825,-3418,-2178,-1153,-346,
259,710,1061,1396,1778,2284,2960,3822,4845,5984,7146,8257,9219,9938,10301,10240,9713,8742,7378,5667,
3670,1463,-860,-3166,-5346,-7299,-8954,-10256,-11150,-11582,-11530,-11017,-10123,-8937,-7546,-6059,-4573,-3190,-1980,-988,
-223,349,788,1147,1508,1938,2492,3215,4120,5185,6358,7537,8622,9514,10134,10406,10260,9655,8591,7111,
5309,3257,1040,-1251,-3526,-5677,-7573,-9144,-10322,-11076,-11384,-11231,-10636,-9660,-8394,-6957,-5465,-4007,-2669,-1516,
-571,152,683,1084,1431,1798,2256,2854,3630,4573,5657,6845,8029,9103,9950,10480,10638,10377,9680,8546,
6989,5098,2974,711,-1578,-3805,-5899,-7750,-9257,-10350,-10990,-11175,-10910,-10234,-9206,-7901,-6433,-4927,-3489,-2194,
-1097,-212,460,959,1342,1683,2055,2535,3172,3989,4968,6066,7238,8383,9420,10214,10674,10721,10332,9499,
8259,6636,4692,2504,188,-2131,-4346,-6385,-8168,-9616,-10652,-11221,-11312,-10945,-10182,-9091,-7762,-6287,-4792,-3368,
-2103,-1051,-215,416,890,1260,1602,1988,2485,3142,3983,4998,6116,7272,8376,9328,10035,10411,10375,9883,
8930,7575,5868,3882,1677,-641,-2969,-5171,-7165,-8849,-10193,-11121,-11602,-11612,-11157,-10301,-9133,-7764,-6278,-4795,
-3398,-2169,-1154,-356,241,695,1068,1435,1866,2409,3114,3996,5037,6183,7359,8444,9342,9963,10244,10117,
9546,8515,7073,5283,3247,1043,-1239,-3512,-5666,-7604,-9210,-10427,-11221,-11563,-11460,-10911,-9977,-8740,-7311,-5812,
-4339,-2976,-1785,-802,-34,542,985,1366,1752,2225,2834,3601,4543,5618,6779,7953,9024,9888,10436,10603,
10359,9683,8574,7055,5190,3080,822,-1466,-3693,-5784,-7653,-9189,-10327,-11009,-11234,-11006,-10367,-9368,-8091,-6640,
-5129,-3672,-2356,-1225,-306,405,941,1355,1725,2111,2596,3229,4034,5010,6103,7255,8392,9415,10215,10690,
10758,10384,9572,8344,6744,4823,2662,356,-1971,-4199,-6247,-8041,-9507,-10576,-11185,-11318,-10993,-10261,-9198,-7899,
-6442,-4954,-3525,-2251,-1178,-324,328,817,1201,1553,1944,2440,3083,3913,4908,6019,7175,8279,9233,9954,
10344,10336,9880,8966,7631,5947,3976,1796,-508,-2829,-5045,-7057,-8778,-10141,-11095,-11612,-11662,-11252,-10433,-9292,
-7936,-6462,-4978,-3573,-2328,-1286,-462,162,633,1018,1398,1825,2369,3063,3932,4957,6090,7260,8354,9266,
9909,10206,10102,9568,8584,7171,5405,3377,1177,-1104,-3376,-5547,-7499,-9154,-10413,-11249,-11634,-11575,-11076,-10181,
-8982,-7576,-6077,-4597,-3225,-2014,-1011,-223,382,837,1224,1609,2076,2665,3418,4330,5383,6525,7680,8749,
9620,10188,10379,10154,9503,8430,6945,5123,3029,788,-1505,-3745,-5842,-7723,-9298,-10479,-11212,-11482,-11299,-10700,
-9740,-8496,-7074,-5575,-4114,-2777,-1630,-693,42,601,1028,1403,1794,2269,2889,3674,4629,5713,6852,7978,
9003,9808,10317,10425,10097,9321,8131,6569,4692,2570,299,-2012,-4239,-6289,-8086,-9556,-10644,-11283,-11457,-11165,
-10461,-9421,-8130,-6691,-5205,-3773,-2481,-1384,-511,165,673,1072,1432,1828,2319,2961,3770,4755,5860,7018,
8131,9107,9849,10276,10312,9908,9051,7774,6125,4198,2051,-212,-2500,-4711,-6723,-8447,-9820,-10787,-11315,-11390,
-11010,-10222,-9106,-7763,-6304,-4825,-3423,-2169,-1118,-288,344,815,1192,1556,1972,2498,3178,4020,5022,6143,
7306,8404,9345,10018,10350,10284,9793,8859,7505,5781,3783,1604,-656,-2918,-5075,-7041,-8710,-10005,-10871,-11285,
-11249,-10782,-9925,-8755,-7372,-5890,-4422,-3049,-1842,-840,-52,549,1007,1378,1741,2175,2734,3456,4342,5375,
6499,7643,8710,9606,10209,10444,10268,9662,8637,7209,5438,3388,1172,-1106,-3343,-5441,-7320,-8908,-10117,-10888,
-11195,-11045,-10475,-9546,-8327,-6923,-5443,-3982,-2649,-1492,-551,180,736,1164,1526,1898,2349,2936,3689,4613,
5678,6815,7940,8967,9801,10340,10508,10240,9522,8395,6882,5063,2991,759,-1519,-3749,-5800,-7602,-9085,-10192,
-10864,-11077,-10826,-10160,-9147,-7883,-6467,-5000,-3575,-2286,-1186,-306,371,873,1267,1616,1994,2465,3080,3861,
4811,5896,7045,8159,9145,9904,10359,10431,10075,9273,8043,6440,4534,2424,184,-2088,-4291,-6319,-8064,-9465,
-10466,-11027,-11145,-10812,-10072,-8998,-7686,-6248,-4794,-3404,-2162,-1117,-288,340,804,1173,1516,1908,2407,3055,
3877,4853,5945,7099,8197,9149,9846,10205,10176,9723,8838,7530,5856,3886,1722,-527,-2779,-4936,-6901,-8590,
-9914,-10818,-11261,-11261,-10829,-10012,-8879,-7523,-6065,-4610,-3236,-2039,-1035,-249,350,797,1169,1519,1939,2481,
3183,4055,5069,6183,7331,8407,9326,9973,10258,10133,9578,8599,7222,5500,3498,1310,-955,-3180,-5282,-7166,
-8762,-9993,-10802,-11142,-11026,-10488,-9587,-8399,-7019,-5550,-4101,-2758,-1594,-642,105,670,1104,1467,1835,2280,
2852,3595,4508,5561,6693,7828,8862,9717,10288,10497,10283,9621,8530,7063,5271,3231,1029,-1240,-3463,-5530,
-7358,-8863,-9997,-10710,-10966,-10763,-10141,-9162,-7922,-6526,-5067,-3651,-2355,-1244,-347,339,857,1259,1615,1987,
2456,3052,3820,4751,5817,6959,8074,9069,9843,10321,10424,10110,9347,8157,6586,4709,2611,389,-1875,-4077,
-6123,-7898,-9334,-10369,-10976,-11126,-10844,-10147,-9118,-7834,-6419,-4966,-3582,-2333,-1274,-428,216,697,1073,1420,
1803,2301,2934,3744,4702,5786,6926,8028,8996,9717,10107,10108,9695,8844,7579,5944,4004,1858,-383,-2628,
-4784,-6766,-8476,-9834,-10777,-11268,-11311,-10919,-10142,-9048,-7723,-6283,-4830,-3469,-2260,-1242,-437,177,643,1021,
1381,1792,2324,3014,3877,4883,5990,7130,8216,9142,9810,10133,10042,9520,8573,7231,5539,3562,1391,-868,
-3108,-5221,-7131,-8752,-10018,-10871,-11268,-11203,-10715,-9851,-8702,-7347,-5894,-4449,-3105,-1920,-947,-181,398,852,
1230,1611,2053,2625,3353,4254,5300,6429,7564,8611,9475,10066,10302,10124,9500,8441,6996,5227,3204,1014,
-1252,-3486,-5579,-7439,-8984,-10151,-10911,-11216,-11068,-10488,-9555,-8345,-6962,-5510,-4087,-2782,-1643,-712,11,558,
985,1360,1751,2225,2832,3598,4529,5590,6729,7860,8876,9670,10168,10302,10024,9303,8155,6620,4772,2689,
474,-1783,-3989,-6044,-7854,-9328,-10402,-11050,-11245,-10998,-10343,-9345,-8081,-6667,-5206,-3803,-2530,-1432,-548,139,
655,1069,1442,1849,2353,3007,3814,4782,5861,6998,8113,9098,9846,10273,10310,9929,9116,7891,6291,4385,
2259,25,-2220,-4383,-6374,-8109,-9503,-10487,-11031,-11115,-10764,-10021,-8962,-7666,-6237,-4778,-3398,-2169,-1124,-283,
358,850,1253,1631,2053,2584,3272,4123,5129,6234,7371,8454,9392,10077,10426,10370,9881,8960,7640,5973,
4020,1863,-392,-2639,-4771,-6704,-8359,-9662,-10555,-11003,-10998,-10550,-9729,-8606,-7285,-5847,-4412,-3059,-1868,-873,
-87,522,986,1381,1770,2219,2780,3501,4389,5424,6547,7684,8734,9608,10212,10472,10322,9735,8709,7287,
5534,3528,1347,-907,-3150,-5256,-7141,-8715,-9921,-10707,-11055,-10951,-10422,-9522,-8338,-6974,-5530,-4105,-2783,-1633,
-678,70,636,1084,1469,1874,2345,2954,3713,4637,5689,6825,7957,8987,9811,10334,10499,10254,9582,8474,
6972,5147,3086,881,-1369,-3572,-5633,-7467,-8968,-10080,-10761,-10996,-10783,-10167,-9195,-7961,-6562,-5112,-3699,-2415,
-1308,-404,303,842,1265,1645,2054,2550,3188,3992,4949,6025,7157,8271,9263,10028,10480,10548,10198,9419,
8222,6653,4771,2660,420,-1829,-4005,-6013,-7770,-9203,-10235,-10820,-10956,-10647,-9950,-8925,-7650,-6242,-4795,-3411,
-2168,-1112,-260,400,906,1313,1692,2115,2634,3299,4131,5120,6206,7329,8410,9342,10038,10404,10379,9911,
9017,7715,6062,4125,1981,-276,-2540,-4701,-6666,-8352,-9698,-10646,-11145,-11195,-10801,-10025,-8940,-7646,-6231,-4802,
-3449,-2244,-1233,-432,190,672,1066,1457,1903,2455,3158,4030,5043,6151,7279,8323,9201,9817,10094,9972,
9412,8419,7022,5283,3288,1117,-1146,-3390,-5518,-7433,-9047,-10297,-11130,-11524,-11470,-10984,-10129,-8974,-7630,-6196,
-4774,-3445,-2276,-1306,-529,66,532,931,1341,1819,2421,3176,4089,5137,6267,7395,8432,9271,9818,10001,
9784,9132,8062,6592,4793,2747,549,-1703,-3913,-5988,-7835,-9371,-10522,-11241,-11514,-11344,-10762,-9827,-8611,-7225,
-5770,-4355,-3046,-1915,-983,-242,329,778,1179,1599,2107,2748,3548,4503,5575,6710,7824,8824,9617,10100,
10199,9882,9133,7974,6434,4582,2495,267,-1993,-4170,-6193,-7966,-9423,-10487,-11116,-11281,-11015,-10341,-9331,-8078,
-6673,-5220,-3817,-2544,-1460,-575,118,650,1083,1483,1912,2437,3100,3929,4912,6003,7136,8218,9167,9886,
10281,10291,9871,9015,7759,6132,4228,2108,-131,-2395,-4559,-6539,-8245,-9613,-10583,-11120,-11201,-10845,-10095,-9026,
-7737,-6322,-4888,-3517,-2287,-1253,-416,232,734,1155,1551,1998,2546,3247,4099,5100,6205,7332,8392,9287,
9928,10233,10145,9632,8684,7332,5627,3659,1507,-733,-2973,-5103,-7031,-8665,-9942,-10806,-11226,-11206,-10761,-9932,
-8804,-7470,-6045,-4617,-3280,-2094,-1105,-309,298,784,1188,1596,2065,2657,3391,4291,5321,6433,7557,8594,
9442,10017,10233,10049,9435,8400,6970,5203,3180,998,-1248,-3460,-5537,-7397,-8955,-10146,-10900,-11207,-11072,-10531,
-9620,-8435,-7067,-5625,-4208,-2897,-1756,-811,-60,519,980,1381,1795,2289,2912,3695,4633,5695,6824,7936,
8944,9746,10256,10389,10104,9394,8262,6759,4934,2871,661,-1592,-3788,-5812,-7607,-9082,-10174,-10839,-11048,-10806,
-10170,-9186,-7954,-6566,-5123,-3721,-2443,-1348,-454,247,790,1226,1620,2043,2557,3211,4022,4984,6065,7195,
8284,9241,9975,10402,10445,10071,9253,8025,6435,4543,2443,219,-2036,-4211,-6203,-7933,-9321,-10324,-10890,-11007,
-10685,-9967,-8923,-7648,-6247,-4819,-3445,-2204,-1154,-307,357,863,1283,1676,2112,2650,3336,4173,5162,6255,
7378,8442,9346,10003,10338,10278,9801,8894,7577,5903,3954,1809,-421,-2661,-4799,-6747,-8414,-9723,-10628,-11094,
-11113,-10704,-9920,-8826,-7514,-6101,-4677,-3340,-2142,-1135,-331,302,789,1203,1610,2072,2652,3376,4253,5266,
6362,7477,8515,9372,9959,10199,10032,9448,8442,7039,5304,3293,1118,-1129,-3347,-5445,-7328,-8917,-10144,-10953,
-11314,-11223,-10729,-9869,-8716,-7377,-5946,-4535,-3218,-2057,-1096,-329,277,756,1172,1591,2086,2702,3472,4394,
5448,6563,7663,8673,9475,9995,10149,9885,9195,8090,6610,4803,2751,547,-1706,-3908,-5962,-7776,-9277,-10404,
-11112,-11367,-11175,-10576,-9631,-8425,-7055,-5618,-4211,-2918,-1794,-869,-136,439,905,1327,1766,2285,2946,3755,
4712,5791,6919,8015,8981,9723,10165,10235,9881,9099,7899,6330,4471,2383,168,-2077,-4261,-6268,-8020,-9437,
-10466,-11066,-11224,-10934,-10253,-9237,-7973,-6575,-5134,-3744,-2477,-1394,-505,191,742,1187,1612,2067,2618,3308,
4152,5135,6222,7350,8427,9346,10024,10377,10349,9901,9028,7741,6099,4172,2043,-185,-2417,-4560,-6522,-8207,
-9551,-10486,-10987,-11038,-10665,-9910,-8836,-7538,-6123,-4683,-3334,-2112,-1075,-233,427,950,1385,1805,2274,2851,
3569,4443,5443,6537,7645,8684,9550,10155,10424,10286,9726,8750,7382,5668,3680,1511,-733,-2953,-5063,-6961,
-8578,-9839,-10684,-11087,-11041,-10571,-9745,-8620,-7297,-5873,-4453,-3123,-1949,-961,-165,457,954,1381,1806,2293,
2896,3656,4561,5588,6689,7783,8786,9597,10130,10308,10074,9409,8332,6875,5097,3069,882,-1364,-3570,-5633,
-7466,-8994,-10154,-10896,-11191,-11041,-10482,-9564,-8379,-7026,-5591,-4187,-2885,-1745,-800,-48,540,1017,1439,1884,
2395,3035,3827,4767,5821,6939,8027,8998,9748,10207,10301,9984,9232,8074,6533,4693,2631,431,-1804,-3979,
-5996,-7760,-9195,-10251,-10877,-11069,-10820,-10163,-9176,-7935,-6551,-5113,-3722,-2454,-1360,-458,249,803,1258,1674,
2125,2663,3330,4153,5118,6189,7307,8373,9309,10001,10380,10380,9965,9122,7878,6271,4372,2267,52,-2173,
-4316,-6288,-7991,-9355,-10313,-10844,-10930,-10585,-9859,-8814,-7536,-6130,-4702,-3342,-2120,-1076,-226,433,952,1390,
1798,2254,2808,3504,4349,5336,6406,7510,8544,9425,10051,10342,10240,9723,8780,7448,5767,3814,1670,-568,
-2786,-4895,-6806,-8438,-9719,-10594,-11028,-11013,-10581,-9774,-8674,-7369,-5957,-4542,-3212,-2036,-1042,-245,378,869,
1288,1700,2173,2751,3478,4355,5367,6451,7546,8553,9378,9932,10142,9956,9341,8304,6888,5147,3154,989,
-1245,-3448,-5514,-7356,-8899,-10079,-10846,-11174,-11059,-10531,-9644,-8487,-7149,-5731,-4330,-3028,-1886,-937,-177,412,
886,1304,1731,2232,2850,3617,4539,5575,6675,7770,8741,9517,10000,10125,9854,9150,8029,6536,4731,2699,
521,-1701,-3869,-5886,-7667,-9129,-10209,-10866,-11089,-10873,-10256,-9298,-8087,-6714,-5294,-3909,-2642,-1542,-635,83,
639,1095,1508,1943,2468,3119,3920,4866,5918,7020,8091,9033,9749,10149,10184,9809,9018,7813,6247,4380,
2302,101,-2113,-4253,-6222,-7939,-9320,-10311,-10873,-10982,-10678,-9981,-8964,-7714,-6324,-4906,-3546,-2321,-1272,-423,
249,769,1195,1596,2038,2576,3246,4073,5041,6101,7190,8229,9123,9779,10099,10039,9567,8671,7382,5752,
3834,1724,-494,-2700,-4807,-6717,-8365,-9657,-10561,-11022,-11037,-10636,-9856,-8780,-7497,-6100,-4690,-3358,-2178,-1181,
-375,255,744,1155,1557,2011,2574,3273,4134,5130,6206,7297,8307,9153,9741,9987,9847,9282,8296,6927,
5230,3273,1142,-1072,-3260,-5324,-7176,-8737,-9933,-10730,-11088,-11006,-10514,-9657,-8522,-7206,-5797,-4401,-3100,-1952,
-998,-232,364,835,1255,1671,2151,2753,3497,4395,5417,6512,7596,8585,9384,9896,10056,9820,9169,8097,
6647,4882,2874,723,-1486,-3651,-5675,-7468,-8954,-10061,-10749,-11003,-10824,-10249,-9322,-8135,-6789,-5373,-3993,-2719,
-1612,-697,28,599,1056,1465,1897,2415,3049,3835,4764,5809,6904,7976,8928,9666,10104,10168,9831,9075,
7916,6383,4552,2497,317,-1894,-4032,-6012,-7742,-9152,-10176,-10768,-10924,-10651,-9984,-8998,-7769,-6400,-4987,-3620,
-2381,-1323,-453,234,773,1213,1623,2063,2602,3273,4092,5053,6114,7205,8252,9157,9832,10188,10162,9724,
8868,7614,6009,4118,2022,-180,-2389,-4504,-6431,-8097,-9422,-10350,-10854,-10910,-10546,-9804,-8752,-7485,-6103,-4692,
-3358,-2152,-1138,-313,339,855,1284,1695,2157,2723,3426,4275,5263,6338,7431,8451,9308,9907,10176,10057,
9527,8566,7216,5540,3596,1469,-738,-2936,-5022,-6898,-8492,-9730,-10563,-10964,-10931,-10484,-9666,-8562,-7260,-5861,
-4465,-3155,-1986,-1009,-218,403,895,1326,1753,2239,2843,3583,4469,5484,6570,7653,8643,9448,9974,10158,
9939,9306,8263,6832,5079,3086,934,-1276,-3456,-5498,-7320,-8841,-9989,-10723,-11027,-10892,-10355,-9469,-8309,-6975,
-5572,-4184,-2900,-1774,-835,-84,511,993,1412,1856,2372,3005,3784,4704,5740,6831,7896,8855,9602,10058,
10148,9831,9097,7965,6463,4648,2605,433,-1781,-3930,-5934,-7688,-9130,-10191,-10827,-11029,-10795,-10174,-9218,-8016,
-6658,-5249,-3876,-2621,-1534,-640,76,636,1102,1529,1985,2521,3187,4003,4953,6004,7096,8137,9049,9738,
10111,10116,9699,8868,7641,6056,4186,2109,-88,-2297,-4424,-6373,-8059,-9422,-10392,-10934,-11038,-10714,-10012,-8997,
-7752,-6379,-4980,-3630,-2412,-1368,-515,162,696,1152,1575,2047,2610,3309,4152,5131,6197,7285,8302,9164,
9776,10063,9969,9456,8531,7211,5550,3622,1509,-697,-2894,-4994,-6897,-8518,-9791,-10665,-11110,-11122,-10717,-9943,
-8867,-7589,-6202,-4810,-3485,-2305,-1300,-487,161,677,1121,1556,2054,2653,3388,4263,5265,6342,7425,8415,
9228,9773,9975,9786,9178,8164,6765,5029,3055,911,-1302,-3477,-5534,-7382,-8931,-10118,-10899,-11238,-11148,-10649,
-9796,-8669,-7354,-5949,-4561,-3262,-2112,-1142,-364,257,763,1212,1664,2191,2824,3608,4524,5559,6647,7722,
8686,9447,9925,10042,9760,9054,7950,6473,4686,2669,497,-1717,-3872,-5883,-7658,-9129,-10228,-10911,-11148,-10957,
-10369,-9447,-8267,-6920,-5510,-4132,-2853,-1742,-807,-61,537,1033,1484,1956,2510,3183,4004,4954,6006,7099,
8156,9076,9779,10177,10206,9826,9020,7820,6266,4412,2349,162,-2048,-4185,-6158,-7874,-9261,-10270,-10857,-11001,
-10725,-10064,-9075,-7851,-6483,-5081,-3721,-2478,-1408,-518,191,759,1239,1691,2172,2752,3455,4301,5273,6337,
7426,8452,9323,9954,10260,10192,9707,8808,7511,5875,3963,1857,-347,-2549,-4656,-6583,-8237,-9545,-10461,-10948,
-11002,-10639,-9899,-8858,-7602,-6222,-4826,-3494,-2293,-1266,-423,247,786,1252,1704,2204,2809,3541,4415,5409,
6481,7560,8558,9378,9939,10165,10001,9418,8428,7055,5350,3382,1247,-960,-3144,-5219,-7084,-8662,-9887,-10705,
-11093,-11046,-10588,-9775,-8671,-7376,-5988,-4598,-3294,-2130,-1144,-342,298,816,1278,1740,2259,2896,3668,4576,
5600,6679,7752,8726,9501,10003,10148,9890,9220,8148,6696,4937,2933,776,-1434,-3596,-5619,-7420,-8916,-10044,
-10764,-11044,-10892,-10343,-9450,-8294,-6970,-5564,-4184,-2903,-1773,-831,-64,545,1045,1506,1976,2522,3189,3990,
4934,5980,7066,8122,9057,9773,10202,10266,9919,9156,7990,6466,4647,2603,432,-1771,-3910,-5892,-7626,-9043,
-10078,-10699,-10880,-10635,-10003,-9045,-7845,-6492,-5090,-3734,-2483,-1397,-497,221,798,1277,1728,2205,2769,3457,
4282,5249,6300,7379,8413,9298,9947,10288,10254,9817,8960,7707,6108,4227,2144,-42,-2236,-4346,-6281,-7953,
-9287,-10232,-10753,-10838,-10510,-9801,-8789,-7548,-6186,-4790,-3464,-2258,-1222,-373,309,854,1316,1761,2246,2832,
3548,4405,5381,6438,7508,8512,9350,9932,10191,10068,9529,8585,7252,5585,3654,1542,-651,-2828,-4900,-6771,
-8367,-9616,-10463,-10886,-10869,-10449,-9662,-8589,-7316,-5943,-4559,-3254,-2087,-1095,-287,355,876,1332,1782,2286,
2897,3651,4540,5547,6614,7682,8654,9445,9967,10145,9930,9298,8263,6855,5125,3153,1014,-1180,-3341,-5371,
-7181,-8697,-9855,-10601,-10921,-10809,-10291,-9429,-8308,-7004,-5619,-4252,-2973,-1845,-901,-133,478,977,1427,1888,
2413,3055,3837,4756,5784,6862,7913,8859,9589,10035,10129,9822,9099,7967,6484,4692,2679,519,-1673,-3809,
-5800,-7552,-8990,-10055,-10702,-10922,-10714,-10117,-9190,-8014,-6690,-5303,-3948,-2707,-1621,-720,1,578,1052,1495,
1962,2505,3172,3983,4925,5962,7035,8067,8967,9639,10006,10012,9611,8798,7588,6027,4180,2123,-46,-2232,
-4339,-6278,-7962,-9318,-10293,-10844,-10961,-10658,-9977,-8990,-7777,-6428,-5042,-3709,-2502,-1457,-598,89,635,1096,
1531,2012,2579,3276,4118,5081,6131,7203,8212,9068,9681,9973,9893,9404,8502,7215,5590,3697,1613,-563,
-2734,-4799,-6677,-8290,-9560,-10430,-10883,-10899,-10497,-9746,-8695,-7436,-6073,-4690,-3381,-2211,-1208,-391,262,788,
1237,1684,2178,2776,3508,4379,5370,6434,7498,8476,9281,9828,10041,9866,9278,8290,6916,5224,3281,1171,
-1010,-3164,-5196,-7017,-8553,-9734,-10514,-10861,-10781,-10295,-9465,-8363,-7073,-5699,-4336,-3052,-1924,-965,-188,427,
926,1370,1819,2330,2952,3715,4613,5627,6695,7748,8688,9441,9914,10036,9766,9084,8001,6545,4783,2788,
654,-1533,-3669,-5664,-7426,-8885,-9976,-10655,-10904,-10729,-10162,-9261,-8101,-6786,-5409,-4059,-2806,-1717,-803,-75,
509,992,1426,1883,2422,3071,3863,4792,5819,6888,7921,8830,9525,9923,9960,9598,8825,7658,6133,4309,
2280,130,-2052,-4158,-6103,-7803,-9178,-10177,-10751,-10896,-10630,-9974,-9011,-7808,-6470,-5088,-3753,-2534,-1488,-613,
83,643,1109,1543,2021,2582,3266,4094,5049,6089,7158,8170,9040,9683,10001,9949,9496,8631,7384,5784,
3912,1853,-315,-2484,-4559,-6448,-8077,-9374,-10281,-10759,-10812,-10456,-9721,-8695,-7460,-6109,-4732,-3423,-2238,-1228,
-391,269,803,1260,1701,2189,2778,3490,4351,5327,6381,7443,8423,9243,9807,10043,9898,9346,8382,7045,
5372,3449,1352,-827,-2983,-5024,-6868,-8428,-9639,-10456,-10844,-10805,-10361,-9562,-8486,-7219,-5860,-4500,-3216,-2071,
-1107,-315,314,828,1279,1728,2238,2857,3611,4493,5495,6559,7612,8564,9325,9821,9966,9729,9078,8026,
6600,4862,2890,768,-1413,-3556,-5562,-7348,-8831,-9955,-10671,-10959,-10825,-10304,-9429,-8304,-7006,-5638,-4290,-3032,
-1922,-992,-233,371,872,1323,1788,2331,2986,3776,4703,5723,6800,7839,8758,9471,9893,9954,9624,8882,
7743,6246,4445,2429,280,-1895,-4014,-5972,-7694,-9101,-10141,-10761,-10951,-10723,-10113,-9177,-8007,-6677,-5308,-3964,
-2732,-1657,-761,-33,552,1044,1501,1985,2554,3246,4070,5025,6062,7135,8148,9030,9680,10024,9994,9565,
8727,7499,5927,4068,2013,-148,-2328,-4417,-6333,-7990,-9321,-10269,-10800,-10897,-10582,-9897,-8899,-7686,-6339,-4967,
-3640,-2438,-1397,-542,159,719,1207,1671,2173,2772,3491,4347,5320,6374,7436,8419,9246,9824,10083,9958,
9432,8498,7179,5533,3622,1531,-641,-2810,-4870,-6734,-8322,-9572,-10431,-10860,-10867,-10465,-9700,-8650,-7397,-6036,
-4671,-3368,-2199,-1196,-372,298,840,1322,1792,2319,2943,3696,4581,5582,6639,7692,8647,9421,9921,10096,
9875,9250,8218,6819,5097,3136,1020,-1161,-3313,-5337,-7142,-8661,-9824,-10582,-10917,-10822,-10337,-9501,-8399,-7116,
-5746,-4388,-3114,-1977,-1017,-230,411,936,1417,1894,2443,3101,3892,4806,5827,6888,7927,8848,9564,9996,
10078,9761,9042,7920,6439,4655,2645,501,-1677,-3810,-5789,-7537,-8980,-10053,-10716,-10949,-10761,-10190,-9284,-8132,
-6823,-5448,-4104,-2856,-1759,-837,-86,525,1034,1502,1996,2565,3251,4070,5012,6047,7110,8131,9007,9665,
10023,10019,9606,8793,7589,6032,4192,2142,-21,-2199,-4303,-6240,-7921,-9281,-10265,-10832,-10971,-10688,-10030,-9067,
-7866,-6534,-5158,-3830,-2611,-1552,-670,45,626,1122,1598,2105,2693,3411,4262,5227,6275,7334,8326,9164,
9758,10036,9942,9439,8537,7244,5624,3726,1650,-516,-2683,-4759,-6641,-8251,-9521,-10411,-10878,-10918,-10541,-9812,
-8781,-7543,-6194,-4821,-3517,-2326,-1307,-462,222,790,1275,1755,2281,2903,3652,4530,5524,6576,7631,8596,
9379,9906,10106,9919,9324,8334,6962,5271,3323,1220,-955,-3101,-5135,-6955,-8498,-9682,-10473,-10849,-10791,-10333,
-9527,-8445,-7180,-5818,-4459,-3175,-2027,-1048,-246,405,946,1426,1914,2455,3099,3877,4786,5789,6849,7885,
8812,9542,9994,10102,9818,9126,8039,6589,4833,2844,710,-1466,-3600,-5592,-7358,-8824,-9923,-10623,-10896,-10744,
-10202,-9334,-8204,-6908,-5542,-4195,-2945,-1841,-899,-135,484,1007,1479,1970,2534,3209,4012,4943,5962,7019,
8037,8925,9596,9969,9993,9614,8833,7658,6135,4322,2290,143,-2035,-4139,-6088,-7787,-9170,-10181,-10783,-10957,
-10713,-10086,-9148,-7974,-6653,-5283,-3951,-2727,-1656,-752,-31,570,1074,1553,2058,2642,3345,4185,5139,6172,
7230,8224,9073,9678,9975,9915,9442,8569,7314,5721,3854,1795,-368,-2531,-4603,-6502,-8131,-9436,-10348,-10852,
-10927,-10592,-9890,-8888,-7667,-6328,-4961,-3649,-2452,-1416,-554,142,721,1216,1698,2221,2837,3568,4433,5408,
6452,7498,8465,9264,9803,10023,9868,9303,8339,6999,5335,3416,1324,-843,-2990,-5025,-6869,-8429,-9645,-10467,
-10870,-10851,-10425,-9650,-8595,-7340,-5992,-4627,-3339,-2178,-1183,-362,306,857,1347,1831,2371,3009,3773,4671,
5661,6708,7741,8675,9420,9889,10025,9774,9118,8061,6646,4917,2954,835,-1335,-3464,-5461,-7246,-8729,-9861,
-10589,-10896,-10778,-10267,-9418,-8315,-7030,-5674,-4322,-3060,-1934,-985,-200,431,967,1446,1937,2499,3158,3950,
4872,5884,6938,7953,8847,9541,9939,9990,9653,8906,7765,6276,4492,2495,358,-1812,-3918,-5869,-7589,-8990,
-10029,-10656,-10863,-10652,-10056,-9138,-7984,-6675,-5309,-3972,-2741,-1660,-750,-3,601,1113,1596,2097,2676,3367,
4190,5132,6157,7209,8213,9064,9701,10025,9991,9566,8732,7509,5954,4118,2080,-63,-2222,-4291,-6195,-7845,
-9163,-10106,-10635,-10743,-10439,-9767,-8791,-7595,-6264,-4905,-3586,-2390,-1346,-479,228,806,1303,1781,2295,2897,
3615,4466,5434,6464,7513,8488,9300,9869,10116,9992,9469,8552,7248,5621,3734,1663,-487,-2630,-4671,-6513,
-8097,-9333,-10182,-10614,-10630,-10241,-9494,-8466,-7240,-5897,-4546,-3255,-2095,-1097,-269,400,951,1440,1917,2447,
3070,3815,4690,5678,6716,7750,8692,9453,9950,10115,9897,9284,8269,6885,5194,3252,1161,-1000,-3125,-5130,
-6922,-8423,-9579,-10339,-10670,-10589,-10119,-9303,-8224,-6965,-5617,-4274,-3019,-1895,-938,-152,489,1017,1494,1975,
2522,3173,3949,4849,5851,6895,7910,8817,9526,9951,10028,9723,9013,7909,6451,4694,2712,598,-1566,-3673,
-5633,-7366,-8797,-9860,-10523,-10762,-10588,-10033,-9143,-8008,-6729,-5369,-4044,-2808,-1723,-799,-51,568,1076,1555,
2052,2623,3302,4112,5039,6060,7098,8105,8969,9613,9967,9956,9560,8763,7571,6040,4228,2205,71,-2085,
-4165,-6075,-7745,-9101,-10074,-10640,-10783,-10520,-9886,-8937,-7768,-6456,-5099,-3784,-2578,-1523,-632,84,679,1178,
1663,2177,2772,3484,4323,5278,6307,7344,8319,9142,9727,9997,9896,9404,8513,7237,5635,3763,1709,-435,
-2582,-4634,-6495,-8099,-9371,-10261,-10733,-10781,-10434,-9723,-8720,-7503,-6184,-4827,-3534,-2360,-1347,-500,193,764,
1259,1748,2279,2902,3641,4510,5481,6515,7543,8487,9257,9771,9956,9763,9175,8193,6832,5158,3242,1157,
-1001,-3133,-5147,-6959,-8495,-9685,-10479,-10857,-10815,-10383,-9603,-8544,-7301,-5967,-4622,-3354,-2218,-1237,-432,229,
778,1267,1760,2309,2957,3728,4618,5613,6655,7668,8581,9299,9740,9846,9563,8883,7812,6377,4643,2682,
577,-1581,-3699,-5673,-7429,-8883,-9983,-10681,-10963,-10825,-10308,-9454,-8349,-7075,-5735,-4399,-3155,-2050,-1112,-339,
290,821,1307,1806,2375,3052,3850,4767,5782,6823,7820,8698,9364,9735,9756,9390,8624,7472,5968,4178,
2178,56,-2092,-4179,-6107,-7791,-9168,-10180,-10778,-10960,-10733,-10132,-9211,-8057,-6763,-5412,-4092,-2879,-1806,-909,
-172,436,949,1435,1954,2547,3246,4076,5017,6040,7082,8061,8900,9503,9803,9736,9277,8422,7189,5617,
3777,1746,-388,-2528,-4577,-6452,-8071,-9368,-10284,-10784,-10870,-10549,-9872,-8894,-7703,-6390,-5042,-3744,-2561,-1533,
-675,27,611,1118,1607,2138,2753,3484,4344,5307,6341,7369,8322,9112,9650,9873,9719,9169,8224,6910,
5270,3385,1326,-816,-2941,-4958,-6777,-8324,-9533,-10354,-10764,-10753,-10344,-9594,-8561,-7328,-6007,-4662,-3386,-2238,
-1247,-424,248,807,1308,1795,2348,2987,3752,4634,5619,6662,7681,8602,9338,9813,9953,9707,9067,8034,
6644,4937,3004,920,-1225,-3332,-5313,-7073,-8544,-9665,-10399,-10702,-10604,-10109,-9282,-8198,-6939,-5599,-4267,-3018,
-1899,-949,-166,475,1018,1514,2011,2579,3245,4039,4950,5948,6987,7994,8878,9560,9960,10010,9674,8941,
7824,6353,4586,2607,501,-1640,-3729,-5666,-7370,-8770,-9807,-10438,-10650,-10452,-9882,-8994,-7862,-6575,-5235,-3916,
-2692,-1616,-700,50,660,1187,1673,2184,2770,3463,4283,5215,6229,7261,8245,9091,9712,10031,9996,9569,
8737,7535,5992,4170,2154,29,-2110,-4169,-6061,-7701,-9020,-9971,-10511,-10632,-10341,-9698,-8749,-7577,-6272,-4931,
-3636,-2443,-1400,-528,191,778,1294,1783,2312,2917,3638,4486,5438,6461,7486,8440,9234,9796,10034,9910,
9386,8472,7183,5572,3701,1653,-485,-2611,-4641,-6485,-8055,-9294,-10154,-10600,-10628,-10259,-9543,-8538,-7333,-6015,
-4683,-3402,-2247,-1242,-405,278,846,1351,1845,2390,3020,3767,4639,5611,6640,7660,8584,9327,9816,9973,
9758,9144,8137,6769,5092,3170,1093,-1046,-3159,-5155,-6941,-8441,-9597,-10362,-10712,-10650,-10194,-9402,-8350,-7114,
-5785,-4463,-3209,-2083,-1127,-325,320,871,1370,1864,2420,3081,3857,4755,5746,6774,7780,8668,9361,9779,
9855,9550,8847,7754,6314,4571,2611,513,-1627,-3720,-5671,-7396,-8823,-9889,-10564,-10813,-10661,-10121,-9263,-8158,
-6892,-5558,-4242,-3019,-1934,-1006,-243,377,911,1408,1914,2492,3174,3983,4907,5906,6938,7923,8777,9407,
9756,9746,9356,8562,7388,5878,4082,2081,-30,-2165,-4229,-6135,-7793,-9142,-10118,-10700,-10852,-10608,-9992,-9070,
-7924,-6635,-5294,-3994,-2796,-1742,-851,-122,480,1005,1499,2020,2623,3337,4166,5116,6129,7156,8115,8925,
9497,9768,9674,9190,8309,7053,5471,3629,1600,-528,-2651,-4685,-6539,-8130,-9398,-10285,-10772,-10832,-10499,-9806,
-8826,-7642,-6333,-5003,-3718,-2542,-1527,-676,27,607,1122,1618,2161,2786,3529,4391,5357,6379,7399,8331,
9091,9600,9787,9599,9028,8049,6717,5064,3176,1111,-1019,-3131,-5131,-6932,-8459,-9640,-10436,-10824,-10795,-10376,
-9611,-8579,-7361,-6038,-4706,-3451,-2314,-1335,-517,158,717,1225,1731,2290,2945,3716,4608,5599,6625,7633,
8531,9243,9676,9785,9509,8836,7773,6361,4645,2700,619,-1516,-3612,-5568,-7312,-8763,-9860,-10562,-10850,-10725,
-10224,-9391,-8308,-7051,-5724,-4396,-3167,-2058,-1111,-326,321,869,1376,1900,2481,3167,3972,4891,5896,6925,
7915,8779,9436,9797,9824,9460,8697,7553,6064,4297,2311,208,-1926,-3995,-5907,-7591,-8962,-9970,-10580,-10776,
-10557,-9973,-9071,-7941,-6665,-5328,-4017,-2808,-1729,-818,-62,561,1098,1609,2145,2749,3463,4295,5244,6257,
7286,8253,9071,9665,9953,9888,9432,8579,7348,5793,3966,1948,-174,-2297,-4339,-6206,-7823,-9115,-10037,-10551,
-10653,-10348,-9689,-8730,-7560,-6266,-4928,-3639,-2452,-1413,-540,182,783,1311,1821,2374,3001,3744,4606,5568,
6590,7610,8546,9320,9844,10051,9898,9344,8403,7094,5465,3584,1538,-592,-2707,-4719,-6531,-8084,-9297,-10126,
-10547,-10559,-10170,-9440,-8432,-7228,-5916,-4587,-3320,-2169,-1167,-328,363,945,1465,1982,2548,3198,3969,4854,
5838,6866,7870,8775,9496,9948,10074,9828,9182,8148,6760,5063,3141,1064,-1074,-3172,-5143,-6908,-8386,-9519,
-10259,-10578,-10501,-10026,-9230,-8164,-6930,-5612,-4292,-3043,-1928,-964,-160,503,1066,1582,2101,2689,3361,4163,
5074,6066,7091,8079,8943,9612,9989,10033,9694,8959,7841,6371,4620,2651,552,-1588,-3658,-5593,-7290,-8696,
-9740,-10384,-10616,-10443,-9892,-9026,-7914,-6658,-5327,-4019,-2792,-1707,-778,-8,629,1176,1693,2230,2831,3535,
4359,5288,6297,7322,8282,9109,9717,10023,9978,9552,8725,7522,5986,4179,2176,62,-2067,-4114,-6002,-7641,
-8967,-9922,-10474,-10613,-10353,-9720,-8794,-7648,-6363,-5034,-3738,-2542,-1497,-600,134,751,1289,1804,2347,2974,
3699,4546,5497,6517,7527,8463,9242,9784,10014,9879,9354,8443,7157,5550,3688,1656,-470,-2587,-4609,-6442,
-8014,-9259,-10125,-10579,-10628,-10279,-9579,-8596,-7406,-6115,-4788,-3514,-2348,-1339,-485,218,815,1342,1858,2413,
3062,3821,4693,5662,6679,7678,8586,9312,9787,9930,9707,9092,8094,6727,5056,3143,1083,-1056,-3161,-5141,
-6923,-8427,-9588,-10361,-10720,-10681,-10243,-9471,-8439,-7219,-5910,-4590,-3337,-2208,-1234,-415,262,840,1356,1879,
2460,3132,3916,4811,5799,6819,7802,8674,9351,9758,9819,9507,8800,7711,6275,4542,2592,507,-1627,-3711,
-5649,-7371,-8798,-9872,-10551,-10812,-10673,-10160,-9318,-8230,-6980,-5662,-4353,-3125,-2025,-1091,-299,351,909,1426,
1960,2558,3258,4070,4993,5995,7018,7979,8818,9444,9772,9757,9365,8570,7405,5894,4111,2126,23,-2099,
-4153,-6045,-7700,-9045,-10028,-10614,-10776,-10545,-9950,-9041,-7912,-6636,-5312,-4016,-2814,-1751,-853,-97,529,1078,
1594,2137,2752,3478,4319,5261,6271,7286,8228,9025,9586,9847,9743,9260,8379,7133,5561,3724,1706,-404,
-2515,-4536,-6376,-7968,-9232,-10122,-10610,-10681,-10360,-9689,-8722,-7560,-6265,-4946,-3670,-2499,-1480,-616,102,702,
1237,1751,2308,2946,3694,4550,5516,6528,7532,8446,9189,9687,9867,9671,9101,8135,6809,5168,3285,1241,
-874,-2974,-4958,-6750,-8262,-9448,-10244,-10633,-10615,-10212,-9467,-8452,-7246,-5946,-4633,-3381,-2240,-1262,-437,246,
821,1345,1862,2429,3090,3860,4745,5721,6737,7723,8606,9296,9725,9822,9545,8880,7831,6431,4731,2805,
742,-1376,-3459,-5403,-7132,-8577,-9671,-10380,-10670,-10561,-10074,-9258,-8190,-6961,-5650,-4345,-3115,-2013,-1073,-289,
369,927,1443,1964,2549,3232,4029,4934,5920,6936,7906,8751,9388,9745,9761,9395,8640,7510,6037,4281,
2317,233,-1879,-3938,-5838,-7507,-8871,-9880,-10492,-10690,-10489,-9923,-9051,-7936,-6679,-5366,-4074,-2876,-1810,-902,
-146,481,1024,1535,2069,2674,3385,4202,5134,6132,7144,8091,8887,9467,9745,9678,9222,8381,7164,5621,
3809,1813,-289,-2393,-4422,-6275,-7877,-9163,-10085,-10603,-10714,-10426,-9785,-8856,-7705,-6428,-5110,-3840,-2669,-1634,
-764,-41,571,1104,1623,2168,2794,3531,4381,5327,6337,7338,8257,9015,9530,9734,9577,9031,8104,6806,
5201,3339,1310,-796,-2890,-4885,-6688,-8218,-9425,-10253,-10681,-10698,-10323,-9607,-8618,-7431,-6137,-4828,-3571,-2424,
-1425,-587,115,707,1239,1761,2333,2988,3757,4634,5600,6615,7610,8498,9203,9655,9781,9534,8903,7887,
6516,4846,2942,887,-1224,-3299,-5256,-6998,-8464,-9584,-10325,-10655,-10576,-10117,-9338,-8293,-7077,-5772,-4464,-3229,
-2115,-1144,-339,335,907,1441,1977,2557,3243,4039,4939,5920,6938,7911,8770,9421,9798,9844,9510,8787,
7685,6244,4509,2563,488,-1625,-3678,-5595,-7279,-8669,-9709,-10352,-10595,-10430,-9895,-9047,-7956,-6712,-5396,-4100,
-2889,-1808,-876,-103,550,1109,1635,2182,2783,3491,4311,5235,6228,7238,8188,9004,9592,9894,9851,9424,
8605,7427,5909,4122,2136,42,-2065,-4094,-5964,-7592,-8910,-9857,-10417,-10566,-10310,-9699,-8791,-7660,-6398,-5083,
-3803,-2622,-1572,-681,61,686,1234,1754,2309,2935,3667,4507,5449,6447,7449,8370,9138,9665,9885,9757,
9240,8333,7068,5482,3643,1623,-483,-2578,-4581,-6403,-7962,-9199,-10063,-10525,-10581,-10241,-9555,-8597,-7429,-6146,
-4837,-3576,-2423,-1413,-556,156,755,1295,1824,2387,3034,3787,4657,5611,6616,7605,8499,9220,9679,9824,
9607,8999,8010,6667,5019,3131,1088,-1021,-3099,-5066,-6833,-8318,-9469,-10238,-10605,-10565,-10142,-9383,-8370,-7163,
-5870,-4566,-3324,-2203,-1230,-400,281,867,1398,1927,2512,3185,3966,4857,5829,6836,7807,8674,9336,9731,
9795,9487,8794,7718,6303,4592,2664,602,-1509,-3568,-5490,-7197,-8612,-9675,-10356,-10626,-10490,-9989,-9165,-8102,
-6870,-5566,-4267,-3053,-1964,-1026,-237,417,990,1515,2051,2654,3348,4158,5071,6058,7058,8012,8834,9439,
9760,9740,9342,8554,7399,5913,4142,2179,94,-2010,-4047,-5929,-7571,-8908,-9893,-10477,-10655,-10438,-9856,-8973,
-7870,-6616,-5309,-4030,-2842,-1787,-884,-129,500,1060,1585,2132,2753,3470,4307,5242,6231,7228,8155,8931,
9475,9721,9609,9125,8249,7013,5453,3631,1633,-467,-2565,-4573,-6405,-7990,-9247,-10144,-10640,-10728,-10425,-9770,
-8831,-7686,-6415,-5110,-3850,-2690,-1666,-796,-70,546,1091,1622,2193,2833,3581,4448,5399,6396,7388,8288,
9016,9502,9669,9476,8903,7943,6625,5000,3136,1104,-1000,-3083,-5059,-6842,-8357,-9535,-10335,-10739,-10732,-10347,
-9624,-8631,-7450,-6161,-4858,-3608,-2472,-1476,-637,69,667,1214,1754,2345,3017,3796,4686,5660,6664,7644,
8518,9199,9618,9701,9424,8762,7715,6323,4636,2728,673,-1434,-3497,-5431,-7155,-8597,-9691,-10408,-10712,-10621,
-10150,-9358,-8312,-7100,-5798,-4500,-3268,-2163,-1204,-390,293,880,1430,1981,2592,3293,4099,5014,5997,7006,
7966,8796,9418,9762,9765,9395,8644,7511,6048,4304,2352,281,-1833,-3875,-5769,-7434,-8804,-9814,-10438,-10655,
-10474,-9929,-9075,-7986,-6746,-5440,-4152,-2947,-1869,-942,-161,502,1077,1624,2186,2819,3542,4376,5305,6304,
7297,8230,9016,9583,9845,9763,9308,8459,7244,5709,3909,1923,-166,-2272,-4290,-6132,-7741,-9034,-9958,-10492,
-10612,-10351,-9727,-8812,-7687,-6423,-5113,-3844,-2663,-1619,-725,27,669,1233,1783,2357,3011,3761,4614,5564,
6567,7547,8455,9193,9694,9884,9711,9160,8232,6932,5332,3482,1465,-641,-2729,-4712,-6508,-8050,-9257,-10096,
-10533,-10564,-10211,-9520,-8553,-7384,-6104,-4794,-3540,-2384,-1377,-518,210,827,1385,1936,2534,3206,3978,4862,
5825,6831,7803,8678,9367,9800,9905,9649,9013,7995,6625,4959,3066,1025,-1080,-3147,-5096,-6841,-8306,-9430,
-10174,-10515,-10453,-10023,-9253,-8231,-7026,-5735,-4429,-3193,-2071,-1095,-269,430,1033,1582,2140,2746,3442,4242,
5142,6120,7123,8081,8922,9556,9920,9949,9603,8879,7776,6334,4613,2680,615,-1483,-3536,-5436,-7117,-8509,
-9550,-10199,-10446,-10293,-9780,-8952,-7877,-6648,-5352,-4063,-2851,-1762,-826,-34,632,1217,1760,2322,2941,3655,
4477,5394,6383,7377,8307,9104,9686,9976,9919,9485,8670,7486,5978,4200,2230,153,-1944,-3969,-5827,-7447,
-8760,-9713,-10275,-10429,-10190,-9600,-8710,-7598,-6355,-5056,-3783,-2607,-1555,-658,99,735,1302,1835,2406,3041,
3777,4617,5545,6533,7522,8424,9176,9692,9906,9762,9245,8343,7082,5504,3678,1677,-413,-2495,-4486,-6294,
-7845,-9081,-9946,-10411,-10476,-10151,-9491,-8546,-7401,-6138,-4847,-3593,-2448,-1435,-573,144,759,1309,1847,2424,
3078,3835,4694,5647,6639,7611,8484,9190,9644,9782,9558,8954,7969,6640,4998,3133,1107,-984,-3053,-5005,
-6761,-8238,-9389,-10158,-10529,-10497,-10094,-9360,-8363,-7181,-5907,-4618,-3387,-2270,-1296,-473,218,817,1358,1899,
2486,3162,3948,4833,5792,6786,7749,8589,9243,9634,9693,9387,8694,7633,6238,4539,2632,589,-1499,-3544,
-5451,-7145,-8546,-9613,-10289,-10566,-10448,-9958,-9157,-8111,-6897,-5614,-4333,-3128,-2043,-1104,-313,349,934,1467,
2016,2622,3324,4129,5029,6007,6996,7932,8740,9342,9655,9638,9242,8470,7328,5858,4109,2166,110,-1976,
-3993,-5859,-7488,-8820,-9799,-10381,-10564,-10360,-9794,-8931,-7843,-6613,-5322,-4055,-2878,-1821,-917,-160,481,1045,
1579,2135,2764,3483,4315,5228,6212,7200,8114,8878,9419,9657,9558,9078,8217,6997,5459,3659,1687,-387,
-2458,-4448,-6259,-7829,-9081,-9971,-10465,-10561,-10268,-9632,-8706,-7582,-6324,-5036,-3784,-2626,-1610,-734,-3,612,
1173,1702,2279,2927,3673,4527,5465,6457,7430,8314,9039,9514,9676,9490,8921,7977,6676,5071,3226,1222,
-858,-2920,-4873,-6640,-8139,-9310,-10113,-10514,-10516,-10139,-9438,-8461,-7299,-6028,-4745,-3509,-2379,-1391,-549,154,
759,1317,1856,2450,3124,3898,4777,5737,6724,7691,8546,9213,9621,9711,9433,8776,7741,6369,4701,2809,
781,-1306,-3350,-5271,-6981,-8409,-9500,-10215,-10522,-10443,-9985,-9208,-8186,-6994,-5714,-4434,-3219,-2120,-1165,-351,
331,920,1477,2034,2642,3344,4144,5047,6020,7009,7953,8772,9382,9719,9720,9358,8604,7490,6037,4314,
2379,327,-1758,-3784,-5667,-7321,-8682,-9690,-10316,-10535,-10365,-9834,-9001,-7933,-6711,-5428,-4158,-2963,-1895,-969,
-192,470,1053,1603,2171,2800,3529,4353,5271,6250,7237,8155,8925,9472,9735,9650,9190,8349,7148,5625,
3842,1868,-202,-2288,-4289,-6129,-7720,-9004,-9933,-10465,-10598,-10342,-9738,-8847,-7739,-6498,-5211,-3957,-2784,-1746,
-853,-96,542,1117,1675,2249,2902,3653,4506,5443,6427,7401,8293,9015,9506,9686,9512,8967,8038,6754,
5167,3331,1326,-752,-2824,-4795,-6585,-8111,-9318,-10155,-10595,-10639,-10302,-9624,-8675,-7531,-6271,-4982,-3739,-2594,
-1584,-725,4,632,1200,1764,2358,3033,3814,4689,5643,6633,7596,8451,9133,9553,9662,9406,8765,7752,
6396,4749,2871,841,-1237,-3297,-5226,-6961,-8414,-9535,-10282,-10631,-10579,-10160,-9410,-8408,-7229,-5951,-4663,-3438,
-2319,-1339,-505,197,812,1380,1951,2564,3271,4071,4970,5939,6928,7874,8704,9321,9678,9707,9361,8641,
7548,6121,4412,2496,450,-1629,-3663,-5551,-7221,-8604,-9640,-10291,-10548,-10408,-9904,-9093,-8044,-6833,-5551,-4268,
-3068,-1979,-1036,-229,448,1047,1610,2188,2818,3542,4366,5282,6261,7244,8162,8951,9512,9792,9733,9305,
8498,7325,5827,4068,2112,45,-2031,-4038,-5887,-7502,-8810,-9762,-10329,-10495,-10268,-9691,-8818,-7734,-6501,-5216,
-3949,-2778,-1719,-812,-44,613,1193,1751,2335,2981,3723,4561,5495,6474,7444,8337,9076,9579,9778,9637,
9120,8222,6967,5401,3595,1606,-470,-2539,-4510,-6309,-7860,-9094,-9957,-10429,-10508,-10195,-9552,-8622,-7498,-6250,
-4965,-3716,-2567,-1545,-673,66,703,1275,1832,2429,3091,3858,4720,5668,6653,7609,8472,9166,9600,9727,
9505,8901,7919,6591,4968,3113,1099,-982,-3032,-4968,-6713,-8198,-9345,-10117,-10495,-10481,-10088,-9371,-8390,-7225,
-5966,-4684,-3456,-2336,-1345,-503,210,827,1395,1963,2572,3258,4052,4939,5900,6882,7826,8655,9294,9661,
9716,9402,8710,7649,6251,4569,2671,636,-1443,-3474,-5376,-7061,-8472,-9534,-10218,-10507,-10402,-9927,-9148,-8113,
-6927,-5655,-4382,-3171,-2078,-1127,-314,374,975,1540,2111,2742,3448,4267,5172,6142,7116,8041,8834,9418,
9714,9686,9278,8503,7354,5880,4145,2206,153,-1921,-3931,-5795,-7420,-8760,-9742,-10337,-10533,-10341,-9797,-8951,
-7884,-6669,-5392,-4126,-2941,-1885,-961,-179,486,1077,1635,2222,2866,3598,4435,5356,6334,7307,8203,8951,
9471,9697,9578,9089,8223,6999,5461,3666,1693,-375,-2443,-4426,-6238,-7805,-9063,-9961,-10462,-10570,-10295,-9677,
-8778,-7666,-6429,-5146,-3897,-2734,-1704,-814,-60,595,1172,1735,2333,3002,3760,4622,5562,6543,7503,8371,
9074,9535,9679,9487,8909,7957,6655,5054,3218,1217,-854,-2906,-4856,-6612,-8115,-9289,-10094,-10505,-10522,-10166,
-9473,-8515,-7364,-6110,-4835,-3596,-2462,-1462,-600,125,762,1338,1906,2518,3208,3992,4879,5829,6808,7758,
8592,9243,9635,9708,9423,8760,7725,6352,4691,2808,790,-1286,-3324,-5233,-6936,-8365,-9460,-10174,-10494,-10424,
-9983,-9224,-8219,-7036,-5774,-4503,-3284,-2183,-1213,-382,322,935,1504,2080,2706,3417,4219,5122,6084,7066,
7988,8784,9381,9704,9692,9319,8569,7453,6008,4289,2371,333,-1745,-3761,-5629,-7273,-8627,-9636,-10261,-10488,
-10330,-9813,-8989,-7939,-6735,-5460,-4200,-3004,-1931,-1003,-204,468,1073,1636,2215,2859,3587,4410,5331,6300,
7270,8172,8926,9466,9714,9617,9161,8322,7136,5616,3842,1889,-167,-2230,-4215,-6035,-7618,-8895,-9818,-10351,
-10485,-10242,-9651,-8770,-7679,-6450,-5179,-3931,-2762,-1723,-826,-56,596,1184,1747,2332,2993,3746,4591,5524,
6492,7455,8323,9031,9510,9685,9508,8964,8046,6778,5199,3377,1397,-664,-2721,-4672,-6446,-7960,-9157,-9992,
-10436,-10485,-10159,-9495,-8558,-7433,-6185,-4913,-3684,-2546,-1536,-670,64,699,1276,1841,2443,3118,3888,4756,
5698,6669,7619,8456,9117,9525,9624,9364,8734,7728,6389,4752,2887,883,-1179,-3223,-5137,-6858,-8300,-9421,
-10170,-10520,-10478,-10069,-9337,-8354,-7191,-5938,-4668,-3453,-2344,-1367,-536,174,794,1363,1932,2548,3248,4040,
4925,5881,6851,7783,8585,9199,9540,9560,9214,8495,7412,6003,4308,2405,375,-1692,-3701,-5577,-7238,-8612,
-9640,-10298,-10558,-10424,-9940,-9140,-8106,-6911,-5648,-4389,-3191,-2106,-1165,-357,330,932,1506,2083,2717,3441,
4258,5166,6136,7103,8012,8777,9333,9604,9547,9114,8320,7154,5674,3933,1996,-47,-2101,-4093,-5918,-7514,
-8814,-9757,-10319,-10482,-10268,-9701,-8844,-7767,-6548,-5282,-4024,-2853,-1795,-884,-105,562,1160,1732,2320,2971,
3721,4561,5486,6457,7419,8303,9023,9526,9724,9579,9065,8186,6947,5401,3605,1641,-409,-2456,-4415,-6192,
-7727,-8943,-9805,-10277,-10356,-10056,-9418,-8502,-7389,-6154,-4881,-3644,-2499,-1477,-599,152,799,1386,1958,2558,
3235,3999,4861,5798,6772,7721,8570,9245,9673,9794,9567,8962,7990,6681,5070,3228,1236,-822,-2856,-4783,
-6511,-7978,-9116,-9894,-10273,-10264,-9880,-9183,-8213,-7069,-5824,-4560,-3342,-2223,-1236,-391,333,961,1536,2109,
2720,3419,4208,5081,6032,7004,7930,8749,9370,9733,9775,9461,8767,7719,6324,4660,2776,759,-1304,-3318,
-5203,-6875,-8272,-9330,-10020,-10315,-10215,-9756,-8988,-7978,-6804,-5544,-4283,-3090,-2000,-1046,-233,466,1078,1649,
2229,2857,3572,4383,5283,6239,7209,8117,8902,9463,9756,9715,9318,8540,7409,5953,4231,2306,275,-1781,
-3776,-5619,-7233,-8552,-9529,-10123,-10325,-10140,-9605,-8783,-7719,-6520,-5259,-4007,-2830,-1770,-843,-60,615,1218,
1791,2382,3030,3765,4600,5514,6478,7441,8324,9059,9563,9781,9662,9174,8314,7104,5576,3799,1845,-201,
-2249,-4216,-6019,-7568,-8821,-9711,-10217,-10332,-10065,-9462,-8577,-7478,-6259,-4995,-3757,-2608,-1576,-687,74,734,
1322,1897,2495,3164,3925,4777,5702,6670,7618,8470,9149,9593,9739,9528,8952,8000,6712,5120,3296,1309,
-745,-2786,-4720,-6473,-7961,-9135,-9941,-10363,-10390,-10043,-9366,-8434,-7302,-6063,-4800,-3578,-2454,-1454,-589,136,
783,1365,1941,2557,3237,4026,4898,5834,6803,7730,8546,9183,9556,9619,9328,8656,7628,6269,4614,2740,
731,-1329,-3351,-5250,-6947,-8364,-9457,-10174,-10506,-10441,-10018,-9278,-8291,-7125,-5880,-4616,-3413,-2317,-1340,-509,
203,827,1412,1999,2627,3340,4141,5040,5987,6953,7865,8646,9228,9529,9515,9142,8391,7278,5844,4136,
2228,200,-1859,-3856,-5713,-7349,-8695,-9701,-10331,-10570,-10421,-9916,-9115,-8082,-6891,-5632,-4376,-3194,-2118,-1181,
-375,318,936,1515,2113,2762,3496,4325,5236,6198,7154,8045,8790,9315,9547,9451,8989,8155,6971,5471,
3714,1773,-267,-2319,-4287,-6102,-7677,-8942,-9871,-10408,-10553,-10321,-9743,-8880,-7807,-6591,-5333,-4085,-2923,-1882,
-972,-192,473,1086,1666,2274,2943,3697,4545,5473,6435,7387,8251,8949,9407,9573,9395,8850,7934,6673,
5108,3306,1339,-710,-2747,-4688,-6448,-7958,-9146,-9984,-10428,-10489,-10173,-9524,-8605,-7499,-6265,-5000,-3772,-2637,
-1626,-746,1,651,1246,1830,2444,3133,3913,4778,5721,6685,7620,8448,9098,9499,9583,9322,8691,7694,
6357,4738,2892,898,-1154,-3177,-5078,-6788,-8226,-9338,-10083,-10441,-10408,-10010,-9297,-8334,-7187,-5943,-4685,-3477,
-2370,-1393,-549,177,803,1394,1979,2603,3314,4105,4992,5947,6901,7821,8615,9214,9542,9557,9210,8493,
7409,6005,4324,2439,426,-1627,-3627,-5488,-7140,-8508,-9538,-10193,-10462,-10344,-9867,-9093,-8075,-6901,-5658,-4405,
-3213,-2137,-1194,-382,317,936,1522,2110,2756,3481,4297,5200,6159,7112,8008,8762,9301,9564,9495,9064,
8263,7106,5633,3901,1981,-47,-2095,-4070,-5888,-7480,-8771,-9714,-10281,-10458,-10254,-9703,-8865,-7807,-6607,-5350,
-4110,-2943,-1893,-978,-192,488,1094,1681,2284,2948,3698,4538,5454,6419,7363,8234,8945,9428,9614,9465,
8950,8066,6832,5296,3517,1569,-473,-2512,-4454,-6223,-7754,-8966,-9825,-10305,-10389,-10104,-9482,-8586,-7491,-6275,
-5013,-3783,-2637,-1620,-730,34,692,1291,1879,2494,3180,3947,4810,5742,6703,7628,8473,9133,9552,9660,
9424,8822,7853,6548,4946,3115,1137,-908,-2932,-4843,-6566,-8028,-9169,-9940,-10332,-10333,-9972,-9279,-8335,-7210,
-5981,-4720,-3510,-2393,-1403,-548,191,835,1428,2016,2649,3351,4142,5021,5967,6925,7839,8643,9249,9596,
9628,9302,8611,7557,6172,4514,2637,634,-1413,-3423,-5299,-6965,-8364,-9421,-10111,-10412,-10328,-9890,-9146,-8149,
-6992,-5749,-4495,-3303,-2208,-1253,-421,295,928,1514,2119,2763,3491,4302,5206,6156,7113,8007,8766,9319,
9603,9551,9142,8368,7240,5780,4067,2157,140,-1908,-3891,-5727,-7337,-8661,-9635,-10237,-10443,-10273,-9756,-8944,
-7906,-6722,-5471,-4224,-3044,-1975,-1045,-242,453,1077,1672,2284,2950,3697,4534,5451,6412,7362,8233,8953,
9450,9657,9525,9031,8176,6968,5446,3682,1743,-286,-2328,-4282,-6073,-7619,-8864,-9753,-10266,-10385,-10131,-9544,
-8676,-7593,-6382,-5126,-3886,-2732,-1694,-788,-9,672,1280,1875,2502,3185,3955,4811,5739,6701,7635,8474,
9146,9579,9710,9491,8915,7965,6681,5097,3284,1311,-730,-2755,-4679,-6418,-7902,-9073,-9881,-10304,-10337,-10004,
-9348,-8426,-7314,-6092,-4834,-3619,-2486,-1484,-604,145,803,1405,2004,2634,3334,4122,4996,5930,6887,7804,
8606,9227,9588,9641,9335,8663,7639,6282,4635,2782,783,-1264,-3275,-5166,-6851,-8269,-9356,-10080,-10411,-10357,
-9952,-9233,-8264,-7114,-5879,-4631,-3432,-2332,-1362,-518,206,847,1443,2045,2689,3407,4215,5098,6045,6997,
7892,8656,9224,9517,9492,9108,8354,7248,5821,4122,2228,214,-1826,-3818,-5665,-7292,-8637,-9643,-10273,-10513,
-10374,-9888,-9102,-8082,-6907,-5672,-4424,-3241,-2168,-1227,-416,290,919,1512,2120,2779,3522,4347,5253,6203,
7151,8022,8747,9263,9489,9384,8917,8086,6906,5412,3667,1745,-280,-2315,-4276,-6075,-7638,-8903,-9821,-10358,
-10510,-10282,-9722,-8875,-7817,-6615,-5368,-4132,-2972,-1931,-1017,-231,452,1071,1661,2280,2960,3723,4570,5492,
6446,7382,8226,8911,9364,9520,9336,8791,7872,6621,5070,3280,1327,-702,-2725,-4650,-6401,-7895,-9080,-9916,
-10364,-10427,-10118,-9483,-8584,-7487,-6271,-5023,-3798,-2665,-1652,-768,-10,656,1265,1862,2489,3183,3965,4831,
5763,6719,7640,8450,9082,9472,9549,9281,8647,7655,6328,4715,2875,910,-1129,-3134,-5025,-6725,-8150,-9259,
-10001,-10362,-10335,-9949,-9253,-8298,-7167,-5943,-4694,-3494,-2381,-1401,-549,182,828,1432,2031,2674,3391,4189,
5072,6008,6961,7864,8641,9226,9545,9546,9196,8476,7405,6009,4340,2466,473,-1561,-3544,-5402,-7037,-8395,
-9420,-10077,-10345,-10232,-9768,-9004,-8010,-6847,-5606,-4367,-3183,-2097,-1145,-322,391,1026,1627,2230,2885,3622,
4445,5348,6289,7237,8117,8855,9380,9634,9561,9128,8331,7178,5716,3995,2092,86,-1943,-3899,-5712,-7290,
-8569,-9512,-10080,-10253,-10059,-9519,-8697,-7655,-6469,-5224,-3988,-2821,-1765,-839,-43,642,1269,1871,2486,3162,
3913,4753,5669,6621,7559,8412,9108,9574,9760,9601,9086,8202,6976,5451,3687,1745,-269,-2292,-4222,-5981,
-7494,-8705,-9562,-10045,-10131,-9859,-9247,-8372,-7286,-6096,-4848,-3624,-2484,-1459,-571,201,872,1486,2084,2709,
3397,4177,5033,5954,6904,7823,8645,9292,9697,9799,9559,8955,7988,6687,5105,3289,1323,-706,-2713,-4612,
-6323,-7776,-8911,-9684,-10077,-10081,-9733,-9060,-8139,-7024,-5808,-4563,-3364,-2248,-1266,-403,338,995,1595,2194,
2830,3530,4322,5198,6127,7073,7973,8758,9350,9687,9712,9383,8697,7650,6271,4626,2768,781,-1250,-3241,
-5103,-6767,-8149,-9204,-9893,-10199,-10120,-9691,-8956,-7983,-6843,-5619,-4380,-3199,-2115,-1156,-323,392,1029,1631,
2229,2878,3604,4417,5305,6245,7183,8060,8810,9346,9614,9561,9148,8373,7250,5807,4107,2210,205,-1823,
-3793,-5615,-7219,-8529,-9499,-10102,-10319,-10157,-9650,-8858,-7840,-6671,-5441,-4208,-3048,-1986,-1058,-252,446,1070,
1672,2286,2948,3696,4527,5432,6378,7309,8164,8867,9345,9545,9407,8915,8054,6855,5345,3597,1665,-352,
-2371,-4313,-6089,-7630,-8871,-9757,-10273,-10403,-10157,-9587,-8732,-7674,-6483,-5248,-4028,-2885,-1850,-951,-172,508,
1127,1732,2356,3042,3808,4664,5578,6524,7443,8270,8928,9346,9470,9248,8672,7732,6455,4882,3085,1130,
-892,-2904,-4814,-6540,-8016,-9179,-9980,-10409,-10445,-10121,-9481,-8570,-7478,-6274,-5031,-3823,-2704,-1697,-818,-63,
603,1217,1821,2458,3166,3953,4826,5756,6704,7608,8400,9010,9361,9407,9107,8447,7427,6074,4450,2609,
631,-1400,-3395,-5266,-6936,-8345,-9430,-10143,-10482,-10437,-10028,-9320,-8361,-7233,-6013,-4772,-3579,-2486,-1507,-660,
80,726,1334,1949,2603,3327,4138,5022,5966,6903,7788,8549,9106,9391,9359,8978,8234,7139,5716,4037,
2160,161,-1861,-3832,-5660,-7275,-8613,-9610,-10235,-10484,-10352,-9869,-9097,-8089,-6935,-5706,-4469,-3295,-2227,-1276,
-452,260,895,1507,2125,2799,3537,4372,5271,6217,7150,8010,8725,9228,9445,9336,8872,8050,6873,5394,
3665,1758,-251,-2268,-4205,-5991,-7545,-8803,-9709,-10252,-10404,-10194,-9637,-8806,-7759,-6582,-5345,-4117,-2964,-1924,
-1007,-211,488,1112,1721,2350,3036,3797,4645,5559,6508,7425,8261,8933,9376,9519,9337,8792,7882,6638,
5096,3322,1385,-625,-2629,-4539,-6272,-7760,-8942,-9771,-10220,-10288,-9996,-9367,-8483,-7401,-6208,-4966,-3755,-2628,
-1617,-725,39,713,1332,1936,2575,3276,4055,4922,5844,6788,7696,8495,9120,9497,9566,9299,8669,7684,
6366,4764,2948,992,-1033,-3017,-4894,-6573,-7993,-9100,-9842,-10202,-10190,-9813,-9123,-8188,-7071,-5866,-4627,-3435,
-2334,-1356,-494,247,900,1512,2122,2769,3484,4281,5161,6093,7035,7922,8685,9258,9568,9559,9214,8497,
7429,6043,4390,2529,550,-1474,-3438,-5281,-6910,-8261,-9287,-9940,-10216,-10116,-9666,-8914,-7930,-6793,-5570,-4345,
-3166,-2091,-1138,-309,406,1051,1656,2270,2928,3665,4483,5379,6317,7251,8115,8845,9356,9599,9511,9080,
8285,7137,5683,3975,2087,91,-1929,-3872,-5664,-7238,-8520,-9460,-10032,-10215,-10035,-9512,-8704,-7681,-6516,-5287,
-4070,-2911,-1865,-942,-141,561,1189,1793,2418,3101,3850,4692,5599,6541,7464,8297,8976,9435,9603,9433,
8919,8034,6819,5291,3538,1609,-400,-2408,-4326,-6078,-7585,-8793,-9656,-10141,-10239,-9981,-9390,-8531,-7469,-6283,
-5052,-3842,-2707,-1693,-792,-12,668,1289,1900,2534,3232,4013,4865,5785,6726,7636,8436,9071,9460,9554,
9300,8698,7731,6436,4855,3043,1094,-927,-2925,-4810,-6516,-7957,-9091,-9870,-10265,-10283,-9943,-9286,-8370,-7275,
-6074,-4842,-3643,-2532,-1540,-669,90,759,1380,1995,2646,3368,4165,5040,5973,6912,7803,8571,9153,9477,
9496,9159,8468,7422,6057,4412,2563,589,-1435,-3413,-5263,-6913,-8288,-9345,-10038,-10345,-10274,-9860,-9134,-8172,
-7043,-5830,-4599,-3418,-2322,-1356,-509,231,889,1513,2138,2805,3546,4368,5257,6198,7132,8003,8734,9255,
9519,9450,9036,8258,7132,5694,3998,2110,122,-1908,-3867,-5676,-7267,-8574,-9549,-10155,-10381,-10225,-9737,-8954,
-7948,-6793,-5566,-4341,-3177,-2106,-1163,-342,384,1032,1657,2289,2975,3734,4569,5482,6420,7348,8186,8874,
9338,9522,9377,8872,8013,6807,5307,3556,1638,-374,-2381,-4317,-6083,-7623,-8853,-9747,-10271,-10408,-10176,-9616,
-8775,-7731,-6552,-5325,-4112,-2960,-1919,-1000,-202,505,1146,1771,2416,3116,3896,4756,5669,6615,7524,8335,
8976,9376,9487,9254,8664,7723,6444,4880,3087,1137,-878,-2880,-4782,-6502,-7974,-9132,-9941,-10377,-10425,-10114,
-9487,-8594,-7513,-6316,-5080,-3875,-2748,-1733,-845,-63,628,1266,1893,2552,3273,4073,4943,5873,6813,7708,
8485,9074,9412,9447,9137,8468,7446,6096,4480,2643,676,-1345,-3331,-5190,-6859,-8262,-9341,-10061,-10404,-10364,
-9976,-9281,-8338,-7221,-6010,-4774,-3584,-2482,-1489,-628,132,811,1441,2072,2741,3484,4300,5191,6125,7061,
7930,8670,9207,9481,9437,9041,8290,7193,5777,4107,2231,248,-1766,-3729,-5551,-7158,-8489,-9487,-10123,-10375,
-10254,-9789,-9033,-8037,-6898,-5676,-4447,-3274,-2195,-1236,-399,333,998,1627,2265,2949,3703,4540,5436,6374,
7299,8146,8842,9324,9525,9404,8929,8095,6922,5443,3717,1815,-185,-2189,-4121,-5902,-7447,-8703,-9615,-10163,
-10328,-10122,-9587,-8772,-7738,-6570,-5337,-4124,-2969,-1921,-992,-184,530,1181,1807,2452,3151,3920,4772,5678,
6624,7531,8347,9000,9421,9553,9355,8796,7884,6640,5098,3331,1401,-602,-2597,-4496,-6225,-7702,-8885,-9715,
-10166,-10244,-9960,-9350,-8481,-7412,-6222,-4992,-3788,-2661,-1637,-738,39,736,1368,2001,2650,3358,4150,5012,
5928,6869,7764,8551,9154,9514,9575,9299,8657,7668,6360,4764,2952,1002,-1005,-2980,-4846,-6519,-7934,-9027,
-9769,-10138,-10123,-9760,-9085,-8162,-7063,-5857,-4627,-3442,-2341,-1352,-485,270,943,1573,2195,2857,3578,4386,
5264,6188,7121,7999,8748,9305,9595,9585,9232,8506,7450,6068,4420,2571,603,-1401,-3351,-5180,-6794,-8136,
-9153,-9806,-10082,-9986,-9543,-8808,-7837,-6706,-5497,-4270,-3103,-2029,-1071,-232,492,1148,1768,2399,3065,3802,
4621,5515,6436,7360,8210,8920,9420,9645,9552,9119,8314,7171,5730,4035,2159,175,-1825,-3756,-5542,-7097,
-8365,-9301,-9870,-10060,-9880,-9369,-8575,-7567,-6415,-5200,-3989,-2846,-1802,-874,-68,629,1272,1886,2516,3192,
3943,4777,5677,6600,7512,8330,8999,9434,9592,9420,8897,8016,6804,5294,3551,1643,-349,-2342,-4241,-5974,
-7475,-8669,-9524,-10005,-10112,-9860,-9275,-8426,-7385,-6212,-5000,-3806,-2685,-1669,-775,-1,684,1312,1922,2556,
3246,4016,4864,5772,6694,7588,8376,8993,9370,9457,9201,8597,7636,6351,4786,3000,1067,-935,-2911,-4778,
-6467,-7895,-9014,-9784,-10176,-10198,-9868,-9216,-8321,-7238,-6055,-4837,-3652,-2558,-1568,-703,53,721,1342,1957,
2606,3317,4102,4972,5889,6811,7686,8449,9011,9332,9335,9009,8323,7284,5934,4314,2487,537,-1466,-3419,
-5249,-6882,-8244,-9277,-9959,-10268,-10207,-9796,-9078,-8129,-7021,-5818,-4606,-3435,-2358,-1393,-555,181,838,1465,
2086,2753,3485,4296,5181,6108,7022,7877,8596,9115,9361,9291,8883,8115,7002,5590,3914,2050,80,-1916,
-3846,-5638,-7212,-8505,-9463,-10059,-10282,-10137,-9649,-8880,-7890,-6755,-5543,-4333,-3180,-2125,-1188,-374,348,999,
1619,2256,2939,3691,4520,5414,6347,7255,8082,8761,9216,9396,9246,8748,7899,6707,5223,3501,1603,-383,
-2376,-4281,-6030,-7544,-8770,-9648,-10160,-10299,-10071,-9524,-8699,-7669,-6511,-5290,-4089,-2956,-1927,-1016,-217,484,
1125,1751,2399,3098,3869,4719,5629,6559,7450,8252,8881,9281,9384,9149,8569,7638,6372,4828,3059,1132,
-863,-2841,-4719,-6420,-7875,-9021,-9816,-10240,-10297,-9994,-9376,-8497,-7430,-6250,-5028,-3840,-2720,-1716,-830,-50,
641,1278,1911,2573,3294,4082,4953,5869,6803,7672,8444,9021,9356,9385,9074,8416,7398,6062,4466,2650,
704,-1290,-3258,-5099,-6747,-8138,-9203,-9916,-10253,-10220,-9841,-9152,-8224,-7127,-5931,-4710,-3527,-2434,-1454,-593,
169,850,1489,2127,2800,3545,4358,5242,6168,7093,7949,8678,9211,9478,9426,9035,8288,7201,5801,4143,
2294,329,-1671,-3614,-5419,-7012,-8333,-9316,-9946,-10203,-10086,-9634,-8887,-7913,-6788,-5579,-4362,-3199,-2126,-1173,
-338,403,1068,1705,2347,3033,3792,4620,5513,6443,7356,8184,8875,9344,9538,9407,8933,8102,6938,5471,
3756,1872,-108,-2105,-4025,-5785,-7320,-8573,-9477,-10026,-10194,-10002,-9478,-8674,-7660,-6512,-5298,-4095,-2951,-1908,
-985,-171,545,1199,1836,2484,3184,3958,4799,5704,6635,7528,8328,8971,9375,9497,9287,8723,7816,6575,
5040,3285,1370,-622,-2604,-4494,-6210,-7688,-8860,-9687,-10141,-10225,-9954,-9358,-8508,-7454,-6287,-5067,-3875,-2756,
-1735,-837,-49,654,1295,1933,2596,3309,4100,4958,5872,6795,7680,8447,9044,9386,9439,9143,8504,7512,
6202,4615,2816,880,-1115,-3084,-4935,-6603,-8009,-9105,-9843,-10213,-10209,-9861,-9202,-8293,-7209,-6024,-4806,-3623,
-2520,-1531,-658,110,796,1439,2077,2753,3486,4295,5165,6086,7010,7867,8603,9144,9424,9403,9034,8311,
7249,5871,4229,2394,434,-1555,-3503,-5320,-6928,-8263,-9284,-9936,-10219,-10134,-9708,-8987,-8031,-6912,-5716,-4502,
-3337,-2255,-1293,-445,302,974,1609,2257,2938,3691,4515,5401,6319,7232,8066,8761,9251,9464,9358,8906,
8106,6967,5523,3833,1961,-12,-1999,-3923,-5700,-7251,-8517,-9455,-10026,-10224,-10054,-9557,-8782,-7785,-6645,-5444,
-4232,-3084,-2036,-1097,-274,449,1113,1746,2396,3097,3859,4696,5595,6513,7413,8219,8867,9295,9441,9257,
8724,7838,6627,5123,3382,1485,-500,-2476,-4377,-6101,-7596,-8788,-9647,-10130,-10245,-9996,-9431,-8594,-7562,-6396,
-5192,-3993,-2868,-1836,-930,-138,570,1225,1864,2519,3237,4016,4872,5780,6702,7584,8358,8962,9333,9403,
9145,8530,7570,6288,4728,2944,1027,-964,-2928,-4790,-6465,-7892,-9008,-9778,-10175,-10203,-9878,-9245,-8361,-7295,
-6118,-4905,-3718,-2614,-1616,-731,42,734,1381,2018,2687,3420,4219,5090,6006,6923,7792,8534,9086,9394,
9390,9053,8355,7314,5968,4349,2530,587,-1398,-3346,-5171,-6795,-8153,-9188,-9879,-10186,-10135,-9732,-9041,-8105,
-7002,-5815,-4606,-3440,-2351,-1379,-525,231,910,1555,2191,2879,3625,4440,5330,6247,7159,8003,8699,9204,
9443,9364,8944,8167,7050,5632,3966,2110,151,-1836,-3756,-5549,-7118,-8402,-9359,-9961,-10187,-10048,-9577,-8823,
-7849,-6721,-5522,-4323,-3165,-2109,-1163,-332,403,1069,1708,2358,3058,3823,4656,5548,6476,7377,8194,8850,
9293,9459,9303,8798,7938,6752,5270,3548,1663,-311,-2291,-4188,-5934,-7441,-8657,-9535,-10051,-10189,-9974,-9432,
-8621,-7605,-6453,-5247,-4053,-2918,-1885,-962,-153,563,1226,1869,2530,3247,4026,4879,5785,6705,7589,8377,
8986,9373,9467,9224,8633,7700,6435,4893,3129,1212,-768,-2739,-4609,-6305,-7751,-8888,-9686,-10119,-10177,-9879,
-9270,-8411,-7357,-6187,-4978,-3793,-2672,-1660,-762,29,728,1386,2031,2702,3433,4231,5099,6011,6930,7795,
8548,9105,9428,9444,9127,8454,7436,6104,4502,2695,755,-1233,-3185,-5019,-6665,-8046,-9112,-9828,-10173,-10144,
-9778,-9103,-8191,-7107,-5922,-4710,-3536,-2444,-1454,-584,183,881,1531,2185,2867,3619,4434,5314,6233,7141,
7984,8697,9206,9460,9400,8996,8240,7147,5745,4095,2250,290,-1696,-3629,-5426,-7014,-8327,-9313,-9944,-10206,
-10100,-9654,-8917,-7964,-6845,-5648,-4439,-3281,-2203,-1246,-393,358,1041,1694,2354,3049,3817,4650,5544,6463,
7361,8181,8854,9308,9489,9354,8872,8038,6868,5407,3704,1824,-145,-2122,-4031,-5785,-7316,-8556,-9464,-10005,
-10177,-9990,-9475,-8686,-7686,-6552,-5346,-4141,-2997,-1957,-1017,-192,537,1211,1861,2527,3239,4026,4870,5776,
6689,7571,8363,8992,9383,9498,9280,8721,7807,6563,5043,3296,1389,-583,-2554,-4439,-6140,-7610,-8777,-9596,
-10059,-10149,-9881,-9300,-8457,-7420,-6262,-5054,-3864,-2743,-1718,-813,-12,700,1360,2012,2680,3405,4199,5060,
5968,6879,7749,8505,9085,9418,9457,9158,8517,7526,6220,4640,2852,924,-1054,-3011,-4849,-6512,-7913,-9004,
-9743,-10118,-10122,-9780,-9130,-8237,-7167,-5996,-4790,-3616,-2518,-1517,-644,136,830,1483,2133,2815,3550,4362,
5234,6147,7054,7897,8618,9146,9413,9378,9004,8280,7218,5840,4210,2387,439,-1538,-3474,-5279,-6878,-8213,
-9222,-9877,-10162,-10082,-9664,-8953,-8017,-6915,-5732,-4528,-3368,-2296,-1328,-474,278,957,1607,2264,2950,3703,
4530,5416,6332,7228,8044,8728,9205,9404,9292,8838,8041,6894,5460,3778,1920,-36,-2014,-3919,-5680,-7220,
-8479,-9409,-9978,-10181,-10015,-9526,-8761,-7776,-6656,-5457,-4261,-3122,-2068,-1132,-302,432,1097,1744,2404,3107,
3874,4719,5613,6528,7410,8206,8842,9257,9391,9204,8666,7787,6578,5079,3353,1467,-506,-2465,-4349,-6062,
-7542,-8725,-9575,-10060,-10176,-9933,-9375,-8550,-7531,-6387,-5187,-3997,-2877,-1856,-942,-141,579,1234,1878,2548,
3261,4046,4901,5803,6714,7585,8344,8940,9289,9351,9084,8470,7511,6234,4677,2909,999,-973,-2923,-4768,
-6435,-7849,-8961,-9727,-10120,-10151,-9834,-9207,-8335,-7283,-6121,-4917,-3741,-2646,-1643,-757,24,724,1377,2026,
2703,3435,4234,5101,6008,6919,7770,8493,9032,9326,9316,8970,8271,7237,5889,4281,2476,547,-1430,-3362,
-5171,-6780,-8126,-9160,-9840,-10154,-10103,-9710,-9023,-8104,-7016,-5839,-4642,-3480,-2402,-1432,-571,191,879,1529,
2180,2872,3620,4435,5319,6226,7127,7947,8646,9133,9353,9265,8840,8069,6956,5549,3888,2048,103,-1870,
-3776,-5544,-7099,-8378,-9335,-9930,-10154,-10023,-9554,-8812,-7845,-6735,-5553,-4356,-3205,-2153,-1207,-370,375,1050,
1700,2355,3061,3822,4658,5555,6467,7357,8155,8806,9238,9391,9224,8719,7867,6687,5214,3509,1640,-318,
-2282,-4163,-5889,-7381,-8592,-9469,-9979,-10120,-9916,-9379,-8578,-7572,-6435,-5248,-4056,-2928,-1901,-977,-165,565,
1230,1878,2546,3265,4045,4896,5797,6710,7584,8350,8952,9328,9409,9163,8582,7651,6397,4865,3111,1215,
-751,-2706,-4556,-6236,-7667,-8805,-9597,-10026,-10084,-9801,-9198,-8351,-7304,-6154,-4959,-3783,-2673,-1666,-770,24,
732,1398,2049,2723,3460,4259,5119,6023,6930,7782,8519,9072,9381,9390,9065,8396,7386,6066,4473,2682,
758,-1207,-3149,-4971,-6598,-7969,-9030,-9740,-10087,-10063,-9707,-9044,-8143,-7076,-5909,-4712,-3544,-2458,-1478,-602,
169,868,1525,2177,2868,3616,4428,5302,6213,7111,7941,8636,9135,9378,9307,8905,8158,7065,5679,4032,
2203,263,-1706,-3630,-5407,-6981,-8279,-9267,-9898,-10155,-10053,-9626,-8901,-7958,-6860,-5682,-4491,-3342,-2274,-1320,
-469,283,972,1625,2283,2987,3752,4582,5465,6374,7263,8065,8721,9164,9336,9191,8701,7872,6710,5261,
3563,1701,-250,-2214,-4111,-5846,-7361,-8595,-9496,-10040,-10214,-10031,-9532,-8750,-7764,-6638,-5450,-4265,-3130,-2087,
-1155,-323,414,1093,1748,2418,3132,3913,4760,5658,6566,7441,8215,8825,9214,9318,9090,8522,7618,6385,
4875,3136,1247,-715,-2671,-4529,-6217,-7669,-8827,-9646,-10106,-10194,-9934,-9364,-8531,-7504,-6360,-5164,-3984,-2867,
-1846,-940,-129,592,1265,1929,2602,3337,4135,4988,5894,6802,7657,8404,8965,9286,9319,9018,8375,7390,
6091,4523,2744,837,-1131,-3068,-4898,-6533,-7921,-9004,-9741,-10116,-10120,-9781,-9148,-8258,-7199,-6038,-4844,-3677,
-2581,-1586,-703,86,795,1457,2121,2804,3556,4367,5234,6140,7043,7875,8583,9096,9353,9312,8929,8205,
7144,5777,4158,2340,411,-1552,-3472,-5262,-6843,-8178,-9175,-9830,-10118,-10042,-9630,-8934,-8005,-6917,-5744,-4552,
-3400,-2325,-1361,-502,265,954,1617,2279,2975,3736,4565,5441,6354,7241,8050,8717,9175,9364,9247,8788,
7985,6854,5426,3758,1909,-37,-1996,-3887,-5635,-7163,-8412,-9338,-9905,-10105,-9951,-9473,-8716,-7744,-6635,-5446,
-4266,-3126,-2077,-1132,-301,447,1130,1787,2452,3166,3941,4784,5670,6583,7459,8239,8867,9269,9395,9202,
8662,7782,6580,5094,3380,1504,-451,-2393,-4258,-5960,-7423,-8601,-9439,-9929,-10041,-9804,-9254,-8447,-7433,-6302,
-5107,-3931,-2818,-1791,-872,-61,668,1346,2001,2679,3403,4192,5048,5941,6850,7711,8462,9039,9383,9435,
9166,8544,7588,6320,4777,3017,1120,-838,-2772,-4606,-6258,-7659,-8765,-9526,-9933,-9966,-9659,-9045,-8185,-7140,
-5993,-4801,-3636,-2542,-1541,-648,134,855,1514,2176,2859,3597,4399,5270,6168,7063,7902,8618,9142,9418,
9397,9043,8346,7308,5968,4365,2568,647,-1318,-3236,-5035,-6639,-7980,-9002,-9688,-10008,-9964,-9585,-8910,-8003,
-6929,-5771,-4582,-3431,-2354,-1379,-512,254,956,1613,2278,2971,3725,4538,5421,6319,7208,8019,8695,9171,
9375,9273,8843,8058,6949,5543,3887,2049,110,-1847,-3748,-5510,-7053,-8331,-9281,-9880,-10117,-9992,-9540,-8808,
-7862,-6757,-5587,-4399,-3261,-2204,-1250,-402,346,1047,1703,2378,3088,3860,4696,5589,6493,7370,8159,8791,
9206,9344,9169,8652,7791,6612,5143,3444,1572,-378,-2329,-4205,-5924,-7409,-8608,-9485,-9998,-10148,-9948,-9423,
-8637,-7645,-6520,-5339,-4155,-3028,-1991,-1054,-228,509,1206,1868,2554,3283,4072,4928,5826,6728,7593,8349,
8941,9291,9362,9109,8513,7570,6318,4790,3042,1147,-813,-2755,-4599,-6271,-7700,-8824,-9619,-10051,-10122,-9843,
-9254,-8419,-7389,-6245,-5054,-3879,-2770,-1755,-847,-35,693,1377,2050,2748,3489,4296,5166,6066,6959,7805,
8531,9069,9350,9347,9012,8333,7309,5992,4409,2611,700,-1263,-3196,-5009,-6627,-8001,-9054,-9768,-10117,-10102,
-9754,-9102,-8215,-7155,-5992,-4807,-3637,-2549,-1558,-673,120,836,1521,2196,2901,3661,4482,5361,6264,7150,
7975,8655,9137,9358,9275,8857,8098,7006,5615,3968,2147,214,-1750,-3660,-5436,-7001,-8298,-9283,-9908,-10170,
-10080,-9657,-8946,-8016,-6929,-5753,-4565,-3413,-2344,-1373,-505,266,968,1644,2324,3046,3823,4655,5543,6453,
7328,8116,8763,9185,9340,9181,8688,7849,6681,5230,3543,1690,-259,-2216,-4097,-5828,-7336,-8561,-9459,-10010,
-10188,-10016,-9519,-8747,-7772,-6663,-5477,-4291,-3156,-2113,-1163,-320,433,1129,1813,2494,3227,4014,4861,5759,
6663,7523,8289,8885,9252,9337,9103,8525,7613,6380,4868,3139,1257,-696,-2640,-4495,-6169,-7618,-8772,-9591,
-10044,-10140,-9889,-9325,-8503,-7494,-6357,-5166,-3988,-2873,-1852,-932,-105,629,1316,1992,2690,3432,4231,5091,
5991,6892,7728,8461,9010,9319,9329,9018,8366,7377,6072,4509,2737,836,-1125,-3056,-4871,-6497,-7887,-8959,
-9696,-10067,-10080,-9754,-9128,-8255,-7213,-6060,-4869,-3705,-2610,-1613,-718,81,800,1482,2156,2858,3611,4421,
5292,6194,7084,7901,8590,9091,9333,9271,8882,8150,7087,5721,4102,2296,381,-1578,-3490,-5268,-6846,-8161,
-9157,-9809,-10094,-10027,-9628,-8944,-8022,-6953,-5788,-4598,-3451,-2373,-1401,-533,245,946,1619,2300,3010,3775,
4598,5481,6383,7258,8053,8706,9149,9331,9196,8727,7922,6790,5361,3702,1862,-72,-2022,-3901,-5642,-7155,
-8404,-9319,-9886,-10085,-9938,-9470,-8720,-7760,-6657,-5483,-4300,-3171,-2116,-1169,-326,433,1123,1797,2477,3200,
3980,4819,5701,6605,7469,8235,8848,9231,9350,9141,8598,7718,6519,5031,3330,1464,-477,-2415,-4263,-5950,
-7403,-8575,-9412,-9893,-10011,-9784,-9241,-8439,-7441,-6318,-5137,-3966,-2849,-1824,-901,-85,652,1337,2008,2693,
3422,4213,5063,5956,6847,7695,8433,8998,9327,9362,9084,8456,7506,6233,4695,2952,1071,-878,-2798,-4620,
-6255,-7648,-8742,-9500,-9897,-9931,-9632,-9027,-8175,-7144,-6009,-4827,-3665,-2572,-1576,-684,111,834,1500,2174,
2868,3609,4412,5274,6162,7052,7873,8576,9090,9354,9324,8963,8260,7230,5893,4302,2522,615,-1330,-3233,
-5021,-6610,-7935,-8957,-9627,-9947,-9898,-9527,-8863,-7970,-6908,-5760,-4578,-3437,-2366,-1395,-533,244,950,1616,
2285,2988,3740,4558,5424,6321,7193,7997,8656,9119,9318,9212,8769,7992,6890,5491,3853,2033,113,-1825,
-3712,-5452,-6986,-8241,-9183,-9772,-10004,-9881,-9440,-8716,-7783,-6695,-5531,-4355,-3227,-2175,-1229,-388,363,1058,
1723,2401,3110,3880,4710,5587,6486,7353,8121,8745,9155,9281,9103,8587,7725,6550,5092,3401,1558,-376,
-2309,-4166,-5865,-7338,-8532,-9394,-9898,-10045,-9845,-9334,-8553,-7571,-6464,-5295,-4119,-3005,-1982,-1056,-234,502,
1187,1852,2536,3262,4045,4890,5770,6666,7521,8263,8840,9188,9250,8996,8399,7465,6217,4701,2965,1093,
-851,-2770,-4599,-6256,-7667,-8783,-9569,-9988,-10060,-9778,-9195,-8373,-7352,-6218,-5045,-3878,-2782,-1779,-877,-81,
648,1329,1992,2688,3421,4231,5088,5979,6866,7701,8412,8941,9222,9210,8875,8198,7192,5875,4299,2525,
628,-1320,-3228,-5021,-6632,-7979,-9026,-9731,-10067,-10051,-9700,-9056,-8179,-7130,-5980,-4806,-3645,-2565,-1583,-702,
76,794,1471,2144,2847,3605,4421,5291,6191,7069,7882,8553,9030,9250,9164,8748,7988,6904,5524,3895,
2084,165,-1779,-3670,-5435,-6983,-8266,-9237,-9859,-10116,-10020,-9598,-8898,-7968,-6888,-5726,-4547,-3405,-2345,-1381,
-523,244,951,1626,2307,3025,3797,4632,5513,6418,7285,8073,8704,9124,9278,9116,8618,7785,6628,5184,
3504,1658,-272,-2218,-4081,-5801,-7297,-8511,-9406,-9942,-10116,-9937,-9445,-8684,-7720,-6614,-5440,-4262,-3130,-2089,
-1143,-307,443,1140,1820,2507,3239,4036,4884,5773,6670,7529,8287,8876,9241,9322,9086,8508,7591,6363,
4863,3137,1265,-678,-2609,-4447,-6125,-7560,-8704,-9510,-9969,-10058,-9803,-9246,-8430,-7424,-6293,-5111,-3941,-2823,
-1808,-890,-72,667,1358,2035,2730,3479,4282,5139,6038,6931,7765,8493,9034,9334,9345,9028,8377,7382,
6084,4524,2758,859,-1082,-3005,-4812,-6442,-7813,-8879,-9609,-9983,-9989,-9659,-9035,-8171,-7129,-5981,-4801,-3640,
-2548,-1554,-663,135,857,1543,2217,2921,3683,4497,5372,6269,7150,7965,8659,9141,9382,9320,8923,8187,
7120,5756,4141,2336,422,-1530,-3430,-5204,-6774,-8087,-9074,-9723,-10011,-9935,-9540,-8851,-7945,-6868,-5708,-4530,
-3382,-2311,-1338,-471,301,1009,1687,2369,3079,3852,4679,5560,6459,7332,8123,8772,9207,9376,9236,8763,
7951,6809,5381,3717,1879,-53,-1999,-3876,-5610,-7127,-8364,-9275,-9843,-10047,-9896,-9421,-8677,-7720,-6621,-5454,
-4271,-3144,-2090,-1147,-302,449,1151,1826,2512,3231,4017,4861,5745,6642,7502,8266,8870,9246,9351,9134,
8579,7686,6478,4988,3276,1409,-533,-2466,-4311,-6003,-7460,-8626,-9460,-9938,-10057,-9826,-9287,-8486,-7495,-6373,
-5195,-4022,-2909,-1884,-962,-136,599,1285,1961,2653,3389,4188,5036,5931,6823,7668,8397,8955,9269,9306,
9013,8382,7412,6131,4587,2830,942,-1008,-2928,-4747,-6386,-7784,-8879,-9628,-10026,-10059,-9756,-9150,-8299,-7272,
-6130,-4944,-3785,-2690,-1690,-790,8,732,1414,2091,2789,3539,4351,5215,6113,6997,7820,8516,9025,9277,
9242,8868,8158,7112,5765,4167,2373,460,-1483,-3390,-5176,-6760,-8090,-9109,-9777,-10090,-10043,-9661,-8996,-8094,
-7035,-5881,-4695,-3547,-2474,-1492,-619,161,874,1549,2232,2937,3699,4529,5400,6298,7175,7975,8639,9093,
9280,9169,8719,7930,6809,5399,3753,1929,-2,-1943,-3830,-5575,-7107,-8369,-9305,-9890,-10122,-9992,-9535,-8810,
-7869,-6775,-5607,-4432,-3297,-2241,-1287,-431,327,1021,1698,2381,3106,3881,4721,5607,6506,7373,8147,8759,
9161,9283,9094,8568,7698,6508,5045,3344,1490,-448,-2387,-4246,-5942,-7418,-8610,-9467,-9969,-10111,-9905,-9384,
-8598,-7615,-6501,-5323,-4147,-3028,-1991,-1064,-235,508,1197,1872,2561,3296,4085,4939,5829,6728,7577,8317,
8889,9232,9283,9018,8412,7468,6208,4682,2938,1057,-890,-2814,-4642,-6294,-7706,-8824,-9599,-10019,-10083,-9797,
-9211,-8373,-7354,-6223,-5041,-3873,-2771,-1764,-857,-52,678,1361,2035,2734,3482,4288,5148,6048,6937,7767,
8475,9000,9273,9257,8911,8225,7204,5881,4297,2514,614,-1337,-3248,-5039,-6643,-7992,-9031,-9730,-10063,-10044,
-9683,-9036,-8147,-7092,-5944,-4761,-3606,-2522,-1539,-656,129,844,1526,2197,2908,3666,4484,5364,6259,7143,
7948,8620,9092,9305,9212,8791,8024,6926,5537,3903,2085,165,-1784,-3668,-5429,-6978,-8258,-9220,-9833,-10082,
-9979,-9548,-8838,-7906,-6827,-5664,-4482,-3335,-2276,-1313,-457,311,1017,1691,2372,3093,3869,4703,5587,6489,
7358,8138,8768,9187,9332,9165,8664,7814,6653,5202,3518,1670,-263,-2207,-4074,-5791,-7280,-8493,-9377,-9902,
-10067,-9891,-9384,-8619,-7646,-6536,-5361,-4188,-3059,-2017,-1081,-242,507,1204,1879,2566,3302,4089,4936,5828,
6728,7585,8336,8921,9281,9353,9108,8524,7604,6367,4854,3127,1248,-691,-2626,-4463,-6134,-7562,-8700,-9507,
-9953,-10036,-9777,-9207,-8388,-7379,-6246,-5067,-3899,-2785,-1769,-853,-36,695,1384,2059,2755,3500,4302,5162,
6055,6950,7785,8506,9035,9336,9339,9017,8354,7354,6048,4478,2706,805,-1143,-3062,-4869,-6488,-7857,-8922,
-9646,-10008,-10008,-9679,-9043,-8174,-7127,-5981,-4796,-3639,-2549,-1554,-662,128,855,1536,2215,2917,3677,4494,
5367,6267,7150,7965,8648,9134,9368,9297,8892,8151,7080,5706,4084,2278,356,-1591,-3491,-5258,-6828,-8127,
-9114,-9752,-10033,-9952,-9546,-8848,-7935,-6851,-5692,-4508,-3363,-2287,-1320,-447,326,1034,1714,2397,3112,3885,
4714,5598,6501,7375,8168,8809,9242,9410,9266,8783,7965,6819,5387,3717,1874,-55,-1998,-3875,-5602,-7112,
-8342,-9253,-9806,-9998,-9838,-9362,-8609,-7649,-6547,-5376,-4195,-3059,-2012,-1068,-223,531,1232,1906,2594,3321,
4107,4948,5838,6737,7594,8358,8955,9329,9431,9206,8650,7754,6532,5044,3325,1457,-482,-2419,-4272,-5949,
-7402,-8562,-9388,-9861,-9972,-9734,-9189,-8385,-7384,-6261,-5085,-3916,-2800,-1772,-857,-38,701,1388,2058,2749,
3486,4284,5137,6029,6919,7763,8492,9044,9357,9386,9085,8447,7471,6188,4639,2880,985,-957,-2884,-4699,
-6333,-7722,-8807,-9558,-9947,-9972,-9662,-9051,-8193,-7162,-6021,-4843,-3684,-2592,-1590,-701,98,819,1498,2169,
2866,3614,4426,5289,6186,7068,7889,8583,9085,9334,9289,8914,8196,7150,5797,4197,2401,490,-1457,-3363,
-5142,-6723,-8046,-9056,-9718,-10021,-9964,-9578,-8907,-8005,-6936,-5783,-4601,-3456,-2385,-1409,-542,231,939,1612,
2288,2994,3755,4582,5453,6354,7229,8024,8681,9132,9317,9197,8745,7954,6828,5417,3763,1937,10,-1934,
-3814,-5555,-7078,-8329,-9261,-9842,-10061,-9923,-9463,-8734,-7784,-6694,-5525,-4349,-3218,-2166,-1220,-371,383,1077,
1750,2427,3146,3921,4761,5641,6539,7402,8173,8786,9178,9298,9106,8568,7699,6507,5033,3333,1476,-464,
-2397,-4256,-5952,-7416,-8597,-9449,-9947,-10082,-9867,-9343,-8552,-7565,-6451,-5274,-4104,-2989,-1963,-1036,-219,524,
1209,1874,2562,3293,4080,4934,5823,6717,7565,8304,8872,9205,9255,8985,8369,7424,6163,4630,2886,1001,
-941,-2866,-4690,-6341,-7743,-8856,-9626,-10036,-10089,-9799,-9205,-8365,-7341,-6209,-5026,-3865,-2772,-1765,-863,-63,
663,1342,2013,2707,3451,4258,5118,6012,6906,7735,8437,8956,9231,9210,8859,8164,7143,5815,4228,2446,
541,-1406,-3315,-5106,-6704,-8042,-9075,-9762,-10092,-10064,-9697,-9043,-8155,-7097,-5942,-4762,-3612,-2534,-1552,-676,
104,820,1495,2170,2878,3634,4455,5330,6226,7111,7912,8585,9053,9259,9163,8737,7967,6870,5480,3841,
2026,105,-1843,-3726,-5480,-7021,-8293,-9250,-9853,-10099,-9988,-9547,-8834,-7896,-6812,-5650,-4468,-3329,-2270,-1312,
-458,304,1008,1681,2362,3080,3851,4688,5576,6473,7345,8124,8755,9167,9308,9134,8629,7782,6613,5160,
3475,1629,-305,-2247,-4107,-5819,-7301,-8505,-9383,-9904,-10065,-9880,-9370,-8599,-7621,-6509,-5340,-4163,-3039,-2004,
-1070,-240,508,1201,1871,2561,3289,4077,4926,5817,6713,7571,8316,8901,9255,9324,9074,8493,7565,6327,
4814,3082,1207,-736,-2668,-4501,-6166,-7590,-8724,-9520,-9960,-10037,-9775,-9201,-8380,-7361,-6233,-5056,-3890,-2783,
-1770,-861,-53,677,1364,2035,2729,3475,4276,5136,6030,6920,7756,8471,9005,9296,9296,8967,8302,7298,
5991,4419,2648,745,-1201,-3119,-4922,-6538,-7901,-8959,-9676,-10032,-10027,-9692,-9052,-8180,-7137,-5988,-4807,-3649,
-2564,-1574,-687,100,819,1497,2170,2874,3629,4445,5315,6213,7095,7909,8587,9068,9296,9217,8813,8068,
6985,5614,3988,2179,259,-1688,-3588,-5351,-6914,-8208,-9194,-9828,-10097,-10015,-9607,-8905,-7988,-6912,-5752,-4572,
-3429,-2362,-1399,-534,232,943,1617,2294,3009,3780,4608,5488,6388,7261,8047,8685,9115,9274,9123,8634,
7811,6659,5224,3548,1708,-224,-2168,-4046,-5766,-7272,-8500,-9403,-9954,-10141,-9977,-9496,-8738,-7775,-6670,-5499,
-4324,-3194,-2152,-1210,-365,388,1083,1757,2443,3168,3953,4798,5689,6586,7444,8202,8797,9171,9262,9032,
8467,7567,6345,4851,3129,1261,-680,-2618,-4461,-6136,-7581,-8736,-9556,-10024,-10126,-9885,-9335,-8523,-7521,-6394,
-5215,-4045,-2931,-1909,-993,-170,563,1254,1931,2621,3362,4163,5017,5913,6809,7649,8378,8925,9235,9258,
8953,8312,7334,6047,4494,2735,842,-1101,-3023,-4837,-6462,-7844,-8924,-9666,-10046,-10065,-9745,-9132,-8265,-7229,
-6084,-4903,-3744,-2649,-1652,-758,42,766,1447,2126,2822,3579,4391,5257,6154,7044,7863,8556,9055,9301,
9253,8868,8149,7096,5741,4136,2338,427,-1518,-3423,-5200,-6770,-8098,-9095,-9751,-10049,-9987,-9595,-8915,-8007,
-6939,-5781,-4599,-3452,-2378,-1407,-538,241,945,1624,2301,3008,3775,4603,5477,6380,7254,8049,8703,9149,
9330,9207,8748,7948,6826,5408,3755,1923,-4,-1948,-3824,-5560,-7079,-8325,-9252,-9823,-10032,-9892,-9429,-8693,
-7739,-6645,-5473,-4300,-3165,-2113,-1164,-321,437,1135,1808,2488,3209,3987,4830,5711,6617,7478,8247,8860,
9251,9368,9167,8628,7753,6559,5084,3384,1523,-414,-2345,-4196,-5889,-7347,-8520,-9362,-9855,-9978,-9756,-9224,
-8433,-7438,-6324,-5141,-3973,-2859,-1831,-907,-85,654,1345,2013,2703,3435,4227,5079,5968,6866,7714,8452,
9018,9350,9394,9120,8500,7550,6288,4755,3009,1126,-816,-2738,-4561,-6204,-7600,-8705,-9466,-9880,-9923,-9629,
-9031,-8188,-7158,-6026,-4844,-3685,-2592,-1588,-689,105,836,1509,2184,2878,3622,4425,5292,6185,7072,7898,
8602,9116,9383,9356,8999,8303,7272,5939,4347,2564,657,-1292,-3200,-4989,-6584,-7920,-8944,-9629,-9955,-9922,
-9556,-8897,-8003,-6944,-5799,-4618,-3469,-2393,-1415,-542,234,949,1619,2294,2996,3754,4569,5447,6341,7220,
8021,8686,9151,9349,9243,8809,8029,6927,5529,3884,2060,134,-1810,-3699,-5451,-6987,-8262,-9212,-9813,-10056,
-9941,-9502,-8785,-7851,-6760,-5601,-4419,-3284,-2228,-1269,-417,341,1051,1718,2402,3119,3895,4731,5618,6515,
7384,8162,8784,9190,9322,9144,8628,7770,6596,5136,3447,1589,-347,-2287,-4154,-5863,-7345,-8540,-9418,-9934,
-10091,-9900,-9388,-8614,-7635,-6523,-5352,-4173,-3049,-2013,-1074,-241,504,1208,1879,2573,3306,4097,4950,5843,
6738,7595,8341,8924,9267,9332,9076,8480,7541,6295,4776,3037,1155,-792,-2723,-4558,-6224,-7647,-8770,-9566,
-10001,-10079,-9809,-9231,-8408,-7390,-6258,-5075,-3905,-2799,-1783,-872,-55,679,1372,2052,2755,3500,4308,5175,
6070,6956,7795,8511,9040,9318,9309,8974,8296,7278,5967,4392,2606,703,-1247,-3169,-4974,-6587,-7954,-9006,
-9722,-10075,-10067,-9726,-9085,-8208,-7158,-6005,-4827,-3662,-2575,-1583,-693,103,826,1517,2198,2909,3671,4493,
5369,6267,7147,7964,8636,9113,9329,9244,8825,8069,6982,5597,3960,2147,224,-1728,-3629,-5398,-6958,-8252,
-9236,-9862,-10128,-10043,-9627,-8928,-8006,-6928,-5760,-4578,-3430,-2361,-1389,-518,257,966,1649,2333,3059,3837,
4669,5554,6458,7329,8111,8750,9167,9319,9158,8665,7829,6666,5221,3540,1695,-244,-2192,-4066,-5791,-7295,
-8518,-9416,-9968,-10149,-9984,-9494,-8732,-7766,-6664,-5485,-4304,-3171,-2128,-1176,-329,426,1128,1816,2501,3239,
4026,4873,5767,6666,7521,8281,8870,9234,9315,9080,8503,7593,6364,4858,3136,1261,-683,-2620,-4470,-6139,
-7586,-8738,-9557,-10013,-10113,-9868,-9311,-8497,-7495,-6364,-5179,-4006,-2892,-1870,-948,-118,617,1310,1991,2692,
3437,4237,5096,5992,6889,7721,8449,8993,9298,9306,8995,8342,7356,6056,4498,2731,836,-1116,-3041,-4852,
-6476,-7862,-8934,-9671,-10045,-10062,-9740,-9120,-8254,-7218,-6069,-4883,-3722,-2628,-1630,-732,70,792,1478,2156,
2861,3617,4427,5297,6197,7083,7896,8581,9078,9318,9254,8864,8133,7073,5711,4096,2295,384,-1567,-3474,
-5249,-6824,-8137,-9133,-9786,-10074,-10010,-9615,-8935,-8020,-6955,-5794,-4608,-3461,-2384,-1411,-540,239,944,1620,
2304,3017,3784,4607,5489,6388,7260,8052,8702,9141,9322,9186,8716,7912,6782,5356,3700,1864,-65,-2011,
-3886,-5624,-7136,-8384,-9300,-9868,-10069,-9924,-9460,-8714,-7759,-6660,-5489,-4308,-3179,-2125,-1177,-331,428,1122,
1799,2481,3205,3986,4825,5706,6608,7470,8233,8843,9224,9341,9131,8588,7708,6511,5025,3327,1464,-473,
-2409,-4254,-5939,-7392,-8563,-9400,-9883,-10003,-9778,-9238,-8439,-7444,-6324,-5144,-3976,-2859,-1834,-909,-92,645,
1333,2007,2693,3423,4214,5065,5957,6847,7692,8429,8992,9319,9354,9074,8447,7498,6225,4689,2947,1068,
-877,-2795,-4616,-6250,-7643,-8736,-9494,-9893,-9928,-9631,-9027,-8177,-7148,-6015,-4833,-3672,-2579,-1582,-690,105,
829,1497,2172,2867,3608,4412,5273,6162,7051,7870,8573,9085,9349,9318,8957,8254,7225,5889,4298,2519,
613,-1329,-3231,-5018,-6607,-7931,-8954,-9624,-9945,-9896,-9526,-8863,-7970,-6909,-5761,-4579,-3439,-2368,-1396,-533,
241,948,1615,2284,2987,3739,4558,5423,6321,7192,7996,8655,9118,9317,9210,8767,7991,6888,5490,3852,
2032,-33,-164,2080,2669,1955,1405,657,-128,-1526,-3015,-4391,-5641,-7102,-8643,-10248,-11314,-12259,-13228,-13925,
-13795,-13029,-11623,-9948,-7648,-4979,-2252,52,1893,3251,4449,5326,5831,6134,6668,7316,7937,8018,7809,7354,
6572,5224,3368,1372,-357,-2140,-3839,-4884,-5582,-6047,-6287,-6217,-5610,-4522,-3083,-1422,586,2908,5287,7472,
9419,10949,12181,13311,13814,13438,12770,12003,11182,10088,8669,6882,5103,3330,1477,-440,-2307,-3759,-5006,-5438,
-5385,-5279,-4679,-3563,-2183,-851,369,1291,2308,3303,4134,4739,5538,6428,6978,7355,7575,7144,6350,5347,
3838,2027,84,-2045,-4094,-5864,-7417,-8960,-10161,-10709,-11033,-11122,-10900,-10452,-9996,-9515,-8925,-7900,-6743,-5707,
-4427,-2743,-942,843,2226,3356,4210,4834,5159,4878,4142,3263,2124,628,-1165,-2897,-4427,-5642,-6981,-8322,
-9035,-9167,-9216,-9047,-8316,-6939,-5328,-3802,-2142,-251,1791,3609,4862,6197,7630,8816,9532,9965,10171,9929,
9135,8119,7004,5750,4315,2536,793,-653,-1795,-2893,-3826,-4605,-4748,-4362,-3655,-2847,-1682,-331,1226,2787,
4398,6031,7680,9178,10530,11434,12350,12659,12373,11633,10818,9816,8542,6778,4966,3114,1537,-120,-1712,-2999,
-4068,-4976,-5757,-6421,-6549,-6345,-5881,-5280,-4213,-2739,-1072,678,2335,3904,5491,6993,7922,8232,8414,8489,
7932,6941,5641,4192,2617,793,-1201,-3142,-4953,-6636,-8235,-9508,-10484,-11161,-11770,-11863,-11386,-10673,-9890,-8986,
-7512,-5626,-3730,-1873,-116,1500,3044,4314,5133,5514,5437,5061,4465,3532,2288,864,-527,-1919,-3367,-4625,
-5775,-6880,-7841,-8525,-8750,-8647,-8293,-7605,-6383,-4690,-2804,-992,790,2828,4813,6421,7810,8960,9749,10239,
10085,9632,8907,7820,6455,4935,3208,1574,-98,-1758,-3420,-4944,-6173,-6895,-7350,-7518,-7301,-6532,-5425,-4159,
-2637,-635,1384,3216,4965,6601,8060,9061,9595,9885,9950,9717,9008,7995,6757,5395,3664,1881,27,-1893,
-3831,-5609,-7218,-8610,-9668,-10211,-10530,-10562,-10025,-9051,-7694,-6211,-4632,-2916,-1206,343,1711,2788,3804,4549,
4886,4884,4797,4255,3313,2024,647,-887,-2533,-4308,-5955,-7516,-8713,-9805,-10600,-11040,-10970,-10711,-10032,-9047,
-7629,-6051,-4316,-2539,-715,1070,2784,4215,5343,6171,6736,6955,6722,6132,5320,4342,3003,1437,-324,-1959,
-3443,-4950,-6400,-7344,-8003,-8297,-8406,-8102,-7322,-6236,-4996,-3525,-1886,-130,1632,3269,4867,6398,7654,8646,
9325,9732,9866,9607,9050,8158,6966,5566,4012,2187,343,-1356,-2881,-4356,-5497,-6374,-6667,-6766,-6521,-5991,
-5092,-3823,-2493,-1087,503,2170,3848,5307,6657,7781,8829,9323,9519,9369,8898,8102,6916,5421,3863,2193,
374,-1490,-3266,-4879,-6324,-7594,-8548,-9277,-9539,-9467,-9084,-8442,-7424,-6100,-4641,-3204,-1615,-14,1360,2580,
3425,4124,4633,4699,4365,3784,2966,1982,661,-739,-2258,-3650,-5160,-6529,-7781,-8684,-9378,-9817,-9850,-9586,
-8931,-7895,-6625,-5176,-3446,-1660,280,2095,3729,5357,6739,7776,8443,8756,8789,8403,7596,6551,5270,3806,
2227,456,-1267,-2773,-4156,-5395,-6302,-6891,-7072,-7023,-6561,-5772,-4568,-3252,-1578,113,2002,3721,5522,7103,
8529,9635,10707,11253,11450,11304,10837,10006,8827,7363,5836,4098,2335,537,-1266,-2765,-4050,-5132,-5905,-6252,
-6255,-5900,-5286,-4407,-3169,-1770,-303,1191,2705,4182,5559,6685,7597,8236,8574,8612,8196,7610,6637,5346,
3906,2304,578,-1009,-2632,-4118,-5494,-6556,-7381,-7764,-7972,-7743,-7203,-6387,-5354,-4157,-2832,-1297,225,1571,
2844,3995,4874,5419,5681,5651,5229,4476,3390,2010,523,-1187,-2978,-4810,-6487,-8121,-9505,-10721,-11592,-12189,
-12313,-12153,-11676,-10890,-9641,-8169,-6438,-4661,-2806,-842,1004,2627,4147,5389,6292,6785,6864,6713,6197,5338,
4277,2873,1470,48,-1521,-3041,-4237,-5410,-6220,-6781,-7056,-6958,-6509,-5703,-4603,-3236,-1565,313,2152,4016,
5858,7666,9303,10612,11594,12345,12720,12802,12348,11660,10750,9688,8196,6696,5153,3573,2172,789,-324,-1123,
-1641,-1864,-1732,-1348,-576,393,1634,3042,4513,6060,7571,8933,10188,11163,11953,12442,12515,12237,11709,10787,
9509,7887,6200,4297,2339,274,-1559,-3312,-4909,-6257,-7408,-8124,-8439,-8584,-8282,-7718,-6897,-5859,-4727,-3389,
-2088,-743,503,1594,2436,3138,3443,3542,3220,2676,1788,664,-776,-2385,-4153,-5877,-7565,-9294,-10686,-11914,
-12874,-13539,-13845,-13772,-13301,-12577,-11575,-10262,-8806,-7107,-5454,-3832,-2151,-551,727,1840,2604,3135,3259,3054,
2533,1690,586,-682,-2190,-3763,-5352,-6904,-8290,-9520,-10548,-11264,-11574,-11712,-11452,-10846,-9896,-8595,-7197,-5502,
-3701,-1774,72,1814,3443,4900,6141,6924,7543,7714,7659,7164,6357,5414,4233,2852,1489,39,-1224,-2451,
-3467,-4261,-4710,-4934,-4752,-4299,-3520,-2557,-1185,281,1998,3677,5468,7182,8752,10073,11112,11827,12299,12358,
11915,11315,10330,9047,7506,5821,4098,2302,570,-1004,-2485,-3684,-4677,-5324,-5663,-5668,-5309,-4597,-3713,-2544,
-1267,122,1626,3071,4331,5633,6537,7294,7692,7765,7578,7071,6110,5026,3686,2096,407,-1355,-3049,-4662,
-6220,-7435,-8470,-9042,-9539,-9530,-9240,-8478,-7510,-6166,-4696,-3098,-1290,378,2072,3606,4914,6023,6914,7337,
7507,7321,6795,5902,4814,3392,1888,226,-1488,-3175,-4841,-6279,-7444,-8505,-9125,-9418,-9359,-8968,-8297,-7319,
-6017,-4586,-3063,-1434,108,1644,2988,4151,5072,5687,6040,6073,5670,5056,4121,2964,1606,147,-1444,-2950,
-4472,-5849,-7145,-7985,-8634,-9040,-9046,-8647,-7988,-7027,-5796,-4402,-2812,-1064,568,2218,3733,5098,6107,6921,
7457,7744,7595,7127,6381,5331,4215,2730,1249,-279,-1776,-3147,-4359,-5424,-6129,-6643,-6756,-6532,-6020,-5162,
-3962,-2597,-1013,655,2390,4104,5808,7136,8562,9506,10252,10634,10669,10439,9869,8838,7626,6244,4739,3060,
1327,-330,-1889,-3268,-4449,-5268,-5814,-6043,-5996,-5548,-4770,-3773,-2530,-1111,374,1889,3318,4652,5876,6813,
7554,8017,8117,7915,7336,6496,5398,4140,2529,932,-800,-2477,-4153,-5678,-6889,-7872,-8639,-8868,-8932,-8567,
-7940,-7014,-5865,-4492,-2994,-1414,174,1713,3040,4174,5117,5826,6160,6260,6076,5429,4505,3344,1977,466,
-1247,-2895,-4456,-6065,-7386,-8530,-9337,-9754,-9958,-9766,-9165,-8339,-7200,-5929,-4434,-2848,-1169,347,1919,3271,
4379,5307,5901,6155,6225,5831,5201,4261,3039,1636,40,-1563,-3042,-4620,-5967,-7103,-7997,-8516,-8841,-8728,
-8290,-7576,-6539,-5217,-3736,-2160,-524,1193,2820,4353,5630,6742,7539,8071,8212,8050,7593,6833,5704,4419,
2970,1415,-218,-1821,-3296,-4537,-5615,-6333,-6785,-6920,-6695,-6142,-5279,-4067,-2778,-1242,426,2114,3786,5267,
6707,7957,8869,9472,9846,9853,9464,8742,7756,6525,5154,3556,1995,290,-1224,-2728,-3990,-4983,-5581,-6080,
-6071,-5787,-5216,-4379,-3237,-1809,-292,1201,2822,4290,5712,6890,7826,8568,8978,9004,8742,8165,7252,6108,
4661,3138,1494,-234,-1939,-3459,-4871,-6004,-6921,-7510,-7758,-7658,-7232,-6474,-5453,-4190,-2768,-1260,384,2007,
3472,4899,6103,7063,7797,8080,8166,7810,7171,6234,5029,3609,2033,331,-1259,-2906,-4380,-5644,-6611,-7408,
-7871,-7999,-7765,-7247,-6418,-5349,-4119,-2666,-1166,316,1793,3165,4330,5302,6011,6442,6554,6282,5738,4923,
3797,2456,965,-688,-2346,-3986,-5523,-6886,-7996,-8937,-9508,-9693,-9563,-9169,-8463,-7370,-6064,-4680,-3117,-1477,
146,1692,3048,4299,5293,5914,6276,6388,6130,5528,4595,3457,2088,509,-1115,-2761,-4379,-5842,-7232,-8302,
-9084,-9559,-9725,-9523,-9035,-8173,-7156,-5811,-4358,-2759,-1242,406,1835,3170,4199,5015,5579,5807,5683,5268,
4554,3614,2372,920,-676,-2180,-3823,-5319,-6599,-7718,-8569,-9143,-9363,-9219,-8808,-8035,-6932,-5706,-4222,-2696,
-1016,721,2260,3679,5029,6053,6815,7215,7380,7181,6679,5777,4797,3410,1958,349,-1258,-2821,-4293,-5639,
-6635,-7484,-7973,-8146,-8056,-7511,-6712,-5741,-4497,-3039,-1527,24,1543,2981,4334,5336,6133,6738,6936,6858,
6401,5654,4618,3340,1860,327,-1291,-2977,-4543,-5916,-7083,-7946,-8645,-8886,-8883,-8464,-7775,-6851,-5577,-4008,
-2515,-767,893,2596,4046,5345,6483,7374,7883,8098,8025,7556,6820,5764,4517,3138,1566,27,-1445,-2902,
-4152,-5210,-5929,-6367,-6469,-6259,-5697,-4917,-3779,-2501,-990,632,2247,3904,5454,6835,8037,8950,9630,10005,
10020,9656,9084,8116,6925,5487,4060,2377,776,-748,-2151,-3355,-4272,-4975,-5364,-5419,-5032,-4440,-3499,-2274,
-969,510,2090,3652,5268,6712,7974,9112,9906,10363,10517,10375,9963,9170,8059,6821,5348,3775,2074,485,
-1105,-2458,-3605,-4401,-5009,-5283,-5203,-4793,-4102,-3065,-1908,-503,1018,2588,4080,5484,6773,7959,8816,9395,
9694,9736,9346,8628,7672,6516,5076,3406,1878,204,-1382,-2910,-4179,-5169,-5917,-6437,-6515,-6353,-5791,-4979,
-3971,-2685,-1272,235,1803,3272,4668,5875,6870,7579,8038,8141,7984,7413,6588,5374,4024,2511,929,-771,
-2419,-4026,-5378,-6617,-7531,-8292,-8617,-8615,-8256,-7563,-6595,-5431,-4076,-2601,-1009,619,2133,3556,4737,5738,
6368,6767,6820,6556,5937,5134,3975,2633,1095,-470,-2157,-3679,-5176,-6393,-7457,-8155,-8695,-8856,-8608,-7983,
-7186,-6073,-4709,-3217,-1649,-32,1602,3138,4501,5599,6534,7103,7423,7315,6930,6278,5220,4000,2669,1019,
-559,-2255,-3756,-5085,-6290,-7251,-7784,-8074,-8037,-7693,-7046,-6026,-4789,-3460,-1892,-278,1282,2830,4194,5388,
6458,7079,7512,7555,7307,6774,5837,4710,3329,1721,106,-1550,-3234,-4779,-6190,-7298,-8119,-8709,-8895,-8774,
-8411,-7637,-6657,-5412,-4041,-2504,-1034,562,1998,3356,4312,5181,5766,6040,5853,5521,4787,3790,2515,1038,
-578,-2159,-3896,-5511,-6941,-8186,-9153,-9891,-10332,-10359,-10122,-9506,-8573,-7470,-6102,-4646,-3044,-1479,11,1405,
2676,3698,4444,4808,4970,4772,4274,3418,2387,1137,-330,-1878,-3461,-4983,-6371,-7663,-8676,-9436,-9869,-10012,
-9821,-9303,-8441,-7410,-6020,-4529,-2928,-1256,385,1926,3373,4622,5603,6356,6688,6726,6443,5876,4974,3837,
2473,1026,-534,-2080,-3645,-5017,-6202,-7152,-7884,-8089,-8156,-7798,-7111,-6249,-5006,-3611,-2083,-448,1245,2900,
4365,5676,6783,7699,8176,8469,8376,7946,7208,6185,4938,3592,1992,389,-1125,-2577,-3889,-5037,-5816,-6253,
-6535,-6373,-5897,-5099,-4074,-2871,-1419,135,1774,3381,4916,6338,7550,8456,9101,9575,9570,9205,8696,7780,
6632,5196,3675,2012,386,-1234,-2638,-3886,-4939,-5690,-6148,-6223,-5908,-5413,-4554,-3405,-2078,-636,915,2462,
4025,5400,6743,7845,8588,9115,9271,9108,8663,7885,6758,5530,4072,2423,701,-1000,-2554,-3904,-5200,-6064,
-6736,-7031,-7057,-6624,-5983,-4980,-3847,-2404,-842,735,2344,3859,5297,6527,7476,8224,8671,8712,8394,7843,
6927,5791,4435,2893,1355,-267,-1825,-3373,-4639,-5657,-6433,-6941,-7034,-6887,-6350,-5623,-4528,-3228,-1807,-331,
1393,2898,4376,5529,6790,7623,8192,8363,8306,7851,7120,6066,4784,3298,1827,136,-1445,-2952,-4301,-5540,
-6498,-7095,-7316,-7385,-7048,-6328,-5358,-4185,-2834,-1343,316,1971,3538,5009,6204,7252,7948,8414,8559,8296,
7730,6935,5751,4417,2899,1276,-319,-1872,-3440,-4723,-5810,-6606,-7149,-7320,-7209,-6684,-5932,-4841,-3566,-2094,
-591,963,2496,4097,5376,6505,7403,7958,8285,8189,7810,7122,6148,4947,3482,1930,307,-1409,-2980,-4356,
-5634,-6615,-7284,-7658,-7690,-7412,-6781,-5877,-4716,-3369,-1834,-285,1314,2821,4225,5454,6477,7197,7649,7731,
7485,6937,6044,4905,3575,2028,410,-1261,-2925,-4484,-5924,-7061,-7916,-8484,-8751,-8598,-8192,-7484,-6505,-5265,
-3831,-2377,-821,828,2251,3596,4658,5562,6219,6483,6455,6133,5560,4658,3413,1986,412,-1121,-2820,-4339,
-5800,-6998,-8019,-8746,-9121,-9149,-8937,-8301,-7355,-6209,-4824,-3387,-1720,-95,1473,2920,4262,5337,6171,6650,
6863,6767,6277,5499,4520,3191,1717,109,-1521,-3155,-4552,-6000,-7068,-7951,-8466,-8770,-8714,-8260,-7481,-6561,
-5226,-3840,-2336,-725,857,2371,3900,4966,5995,6651,7022,7069,6737,6146,5258,4057,2761,1260,-336,-1918,
-3563,-4958,-6141,-7182,-7852,-8198,-8253,-7957,-7408,-6480,-5272,-3901,-2426,-737,902,2536,4042,5348,6477,7388,
7900,8173,8077,7663,6826,5815,4489,3086,1433,-191,-1848,-3372,-4774,-6045,-6959,-7547,-7962,-7930,-7495,-6877,
-5907,-4766,-3429,-1884,-287,1208,2763,4135,5300,6238,6883,7294,7392,7054,6466,5587,4443,3012,1460,-125,
-1727,-3469,-4897,-6193,-7204,-8024,-8483,-8634,-8350,-7859,-7009,-5940,-4596,-3133,-1604,-3,1597,3042,4360,5494,
6348,6930,7091,6999,6660,5851,4835,3611,2168,599,-1137,-2709,-4238,-5686,-6883,-7732,-8421,-8705,-8649,-8320,
-7658,-6644,-5493,-4037,-2480,-855,702,2230,3684,4919,5892,6710,7162,7282,7028,6430,5656,4601,3221,1735,
192,-1449,-3049,-4511,-5805,-6799,-7698,-8105,-8287,-8009,-7473,-6651,-5553,-4176,-2712,-1084,573,2146,3746,5057,
6219,7170,7818,8096,8103,7782,7095,6082,4908,3491,1988,344,-1238,-2727,-4096,-5289,-6224,-6927,-7163,-7211,
-6882,-6197,-5268,-4098,-2755,-1264,392,1959,3499,4970,6229,7259,8029,8445,8609,8385,7792,6979,5849,4497,
2904,1288,-375,-2013,-3599,-4923,-6056,-6926,-7479,-7750,-7630,-7183,-6496,-5470,-4201,-2754,-1289,268,1876,3336,
4698,5857,6792,7376,7626,7541,7149,6552,5543,4313,2898,1331,-336,-1986,-3584,-5015,-6208,-7247,-7901,-8287,
-8334,-8078,-7516,-6561,-5407,-4038,-2503,-892,760,2295,3722,5079,6229,6980,7560,7749,7643,7123,6377,5361,
4100,2667,1068,-550,-2120,-3607,-5010,-6110,-6968,-7479,-7719,-7579,-7157,-6439,-5384,-4116,-2722,-1158,455,2092,
3588,4946,6155,7099,7763,8081,8061,7803,7143,6220,4967,3603,2041,367,-1279,-2791,-4303,-5542,-6602,-7390,
-7768,-7876,-7681,-7046,-6182,-5049,-3686,-2201,-612,1090,2622,4089,5435,6525,7377,7928,8129,7997,7535,6823,
5802,4528,3073,1459,-194,-1771,-3327,-4748,-5846,-6773,-7396,-7664,-7620,-7265,-6511,-5611,-4321,-2903,-1410,163,
1759,3223,4700,5811,6804,7450,7801,7806,7467,6842,5954,4715,3349,1786,106,-1527,-3244,-4669,-5938,-7113,
-7859,-8310,-8516,-8258,-7747,-6969,-5828,-4556,-3088,-1452,137,1767,3197,4554,5719,6566,7120,7385,7293,6909,
6166,5121,3945,2485,878,-705,-2312,-3779,-5222,-6358,-7232,-7819,-8133,-7973,-7576,-6887,-5856,-4603,-3168,-1560,
39,1729,3364,4823,6042,7086,7879,8355,8495,8320,7802,7010,5897,4538,3048,1506,-109,-1663,-3063,-4333,
-5374,-6154,-6620,-6700,-6495,-5964,-5100,-4022,-2662,-1196,376,2019,3667,5129,6507,7661,8582,9163,9411,9373,
9001,8297,7304,6065,4576,3012,1322,-279,-1862,-3365,-4583,-5575,-6267,-6555,-6625,-6347,-5741,-4826,-3704,-2303,
-837,735,2260,3797,5137,6499,7395,8159,8496,8622,8278,7703,6759,5666,4218,2675,962,-683,-2371,-3959,
-5414,-6519,-7434,-7989,-8253,-8141,-7770,-7057,-6042,-4803,-3429,-1930,-326,1241,2705,3981,5089,5977,6569,6839,
6783,6369,5653,4643,3352,1894,282,-1408,-3011,-4641,-6061,-7359,-8370,-9106,-9455,-9530,-9232,-8599,-7684,-6536,
-5226,-3731,-2053,-489,1135,2659,3912,5036,5871,6378,6650,6475,6037,5318,4232,3020,1552,0,-1583,-3145,
-4648,-5845,-6917,-7675,-8201,-8333,-8151,-7647,-6812,-5670,-4326,-2836,-1228,476,2151,3778,5209,6507,7490,8232,
8598,8643,8379,7872,6921,5770,4376,2870,1238,-371,-1874,-3300,-4582,-5541,-6191,-6607,-6675,-6372,-5775,-4853,
-3742,-2421,-859,724,2350,3884,5376,6725,7761,8561,9083,9275,9189,8653,7887,6827,5583,4029,2451,758,
-810,-2398,-3781,-4982,-5879,-6544,-6753,-6748,-6345,-5609,-4665,-3478,-2032,-560,1060,2585,4110,5486,6644,7573,
8239,8536,8525,8222,7561,6598,5354,3920,2340,691,-1052,-2611,-4158,-5450,-6626,-7457,-7921,-8036,-7913,-7358,
-6532,-5447,-4168,-2749,-1162,444,1978,3496,4754,5858,6702,7197,7382,7311,6784,6104,5078,3782,2328,714,
-919,-2493,-4079,-5468,-6591,-7508,-8125,-8382,-8319,-7886,-7184,-6203,-4896,-3471,-1907,-284,1397,3013,4473,5680,
6816,7560,8010,8136,7889,7391,6532,5417,4110,2629,1083,-570,-2171,-3559,-4836,-5869,-6615,-7028,-7118,-6956,
-6422,-5550,-4468,-3148,-1646,-8,1614,3209,4707,6058,7205,8065,8607,8929,8811,8452,7694,6663,5412,3998,
2359,673,-991,-2545,-3991,-5238,-6222,-6854,-7295,-7275,-7021,-6372,-5472,-4324,-2997,-1496,25,1593,3134,4535,
5733,6689,7408,7796,7859,7538,7010,6108,4958,3480,1949,307,-1404,-3046,-4562,-5926,-7050,-7937,-8517,-8690,
-8546,-8126,-7311,-6304,-5061,-3657,-2117,-510,1045,2523,3872,4976,5850,6435,6697,6637,6278,5542,4577,3356,
1874,288,-1457,-2998,-4654,-6092,-7352,-8391,-9058,-9452,-9448,-9173,-8472,-7557,-6369,-4981,-3479,-1877,-229,1317,
2784,4095,5179,6007,6488,6681,6513,6057,5290,4261,2974,1577,10,-1534,-3099,-4561,-5809,-6853,-7652,-8082,
-8210,-8007,-7471,-6682,-5545,-4133,-2666,-987,790,2471,4085,5522,6749,7853,8579,8959,9098,8842,8267,7355,
6219,4854,3437,1797,246,-1304,-2698,-3951,-4916,-5562,-5889,-6009,-5658,-5060,-4179,-3056,-1673,-180,1418,2962,
4547,5989,7256,8293,9028,9557,9714,9478,8982,8144,7026,5642,4093,2454,775,-913,-2503,-3867,-5083,-6066,
-6780,-7044,-7048,-6738,-6147,-5134,-3993,-2601,-1194,291,1831,3270,4560,5679,6572,7172,7419,7341,6997,6278,
5289,4057,2535,958,-766,-2487,-4165,-5660,-7054,-8132,-8916,-9444,-9692,-9517,-9012,-8211,-7136,-5877,-4383,-2866,
-1332,162,1611,2884,3960,4742,5240,5419,5357,4833,4055,3052,1758,277,-1292,-3004,-4570,-6140,-7493,-8658,
-9548,-10129,-10430,-10365,-9895,-9202,-8209,-6922,-5445,-3916,-2197,-555,1027,2488,3733,4823,5601,6010,6209,6023,
5524,4741,3668,2350,938,-643,-2212,-3673,-5066,-6264,-7262,-7952,-8327,-8381,-8096,-7444,-6558,-5343,-3956,-2455,
-752,954,2551,4151,5586,6795,7677,8320,8628,8644,8256,7618,6645,5439,4048,2496,925,-615,-2166,-3539,
-4644,-5556,-6179,-6549,-6497,-6129,-5498,-4524,-3325,-1950,-397,1176,2774,4312,5743,6899,7966,8690,9083,9169,
8839,8236,7368,6133,4791,3220,1554,-206,-1891,-3389,-4746,-5952,-6769,-7349,-7575,-7497,-7088,-6398,-5349,-4195,
-2809,-1258,280,1810,3212,4490,5631,6378,6912,7158,7089,6639,5861,4832,3537,2053,443,-1209,-2918,-4486,
-5976,-7205,-8219,-8916,-9338,-9320,-9098,-8437,-7594,-6457,-5089,-3581,-2050,-429,1094,2550,3801,4803,5625,6081,
6194,6034,5535,4708,3687,2304,823,-697,-2355,-3894,-5347,-6672,-7727,-8564,-9037,-9152,-8982,-8494,-7645,-6530,
-5206,-3767,-2149,-426,1180,2775,4287,5534,6565,7239,7655,7685,7497,6834,6014,4879,3586,2111,553,-1010,
-2451,-3867,-4960,-5905,-6515,-6851,-6813,-6467,-5803,-4832,-3600,-2200,-631,1017,2647,4240,5791,7085,8141,9029,
9520,9740,9570,9115,8366,7261,5939,4535,2927,1277,-357,-1906,-3262,-4396,-5302,-5847,-6150,-6052,-5672,-4949,
-3994,-2751,-1434,115,1687,3236,4656,5994,7143,8059,8699,9033,9005,8700,8016,7004,5795,4384,2802,1095,
-574,-2191,-3637,-5032,-6084,-6859,-7332,-7512,-7256,-6796,-5974,-4919,-3678,-2194,-674,847,2404,3791,5089,6093,
6858,7383,7549,7328,6896,6097,5002,3669,2117,483,-1137,-2830,-4336,-5773,-6959,-7894,-8526,-8818,-8774,-8425,
-7795,-6799,-5596,-4183,-2698,-1154,435,2002,3359,4626,5575,6275,6692,6723,6488,5936,5033,3986,2585,1144,
-482,-2120,-3637,-5036,-6312,-7315,-8057,-8464,-8614,-8325,-7787,-6906,-5793,-4458,-2948,-1350,281,1883,3386,4755,
5939,6825,7444,7724,7671,7276,6545,5610,4367,2932,1426,-174,-1769,-3353,-4679,-5880,-6750,-7389,-7680,-7648,
-7241,-6630,-5664,-4470,-3070,-1587,43,1618,3188,4562,5806,6801,7576,7907,8052,7821,7284,6384,5221,3891,
2377,743,-912,-2492,-3998,-5361,-6444,-7251,-7752,-7937,-7835,-7364,-6589,-5476,-4289,-2826,-1292,271,1836,3327,
4615,5736,6577,7110,7416,7331,6854,6221,5242,3945,2525,943,-633,-2257,-3838,-5250,-6451,-7471,-8075,-8507,
-8477,-8133,-7558,-6597,-5426,-4011,-2516,-929,669,2260,3674,4930,6017,6798,7291,7353,7165,6720,5856,4742,
3548,2027,460,-1195,-2733,-4183,-5485,-6599,-7352,-7878,-8062,-7911,-7468,-6639,-5546,-4322,-2788,-1231,432,1998,
3533,4863,6128,7096,7748,8087,8164,7806,7166,6243,5120,3750,2237,695,-894,-2384,-3812,-4993,-5904,-6574,
-6938,-6911,-6575,-5927,-5037,-3874,-2482,-894,637,2343,3940,5426,6725,7769,8635,9135,9258,9174,8659,7938,
6877,5525,4103,2570,871,-664,-2174,-3618,-4706,-5619,-6141,-6349,-6301,-5907,-5105,-4134,-2889,-1567,-3,1609,
3153,4642,6045,7134,8054,8678,9022,9070,8730,8068,7169,5934,4554,3017,1346,-320,-1833,-3363,-4639,-5660,
-6426,-6867,-7008,-6788,-6217,-5423,-4290,-2999,-1564,-35,1519,3065,4496,5734,6758,7607,8047,8258,8064,7583,
6848,5761,4385,2947,1356,-318,-2022,-3597,-4970,-6118,-7105,-7704,-8013,-7994,-7659,-7049,-6080,-4886,-3589,-2014,
-487,1069,2525,3891,5059,6016,6635,6985,7064,6743,6135,5221,4033,2676,1084,-479,-2079,-3696,-5120,-6428,
-7512,-8293,-8760,-8912,-8613,-8104,-7275,-6230,-4952,-3440,-1894,-339,1283,2753,4085,5177,6050,6527,6806,6695,
6365,5664,4689,3449,2000,431,-1182,-2784,-4304,-5654,-6787,-7712,-8314,-8592,-8515,-8154,-7459,-6464,-5257,-3859,
-2345,-726,908,2447,3883,5155,6182,6940,7377,7477,7318,6767,5886,4869,3569,2115,494,-1077,-2640,-4077,
-5349,-6349,-7150,-7541,-7704,-7527,-7033,-6159,-5103,-3766,-2273,-719,881,2394,3911,5330,6433,7352,7961,8229,
8204,7825,7151,6209,5003,3571,2037,430,-1177,-2731,-4144,-5258,-6242,-6933,-7221,-7224,-6932,-6287,-5386,-4191,
-2828,-1384,262,1790,3369,4756,5981,6938,7699,8111,8266,8060,7505,6671,5517,4223,2696,1041,-609,-2213,
-3698,-5070,-6236,-7120,-7622,-7876,-7777,-7286,-6633,-5590,-4382,-3032,-1488,21,1588,3015,4338,5435,6291,6827,
7132,7089,6636,6009,4956,3720,2314,680,-869,-2518,-4177,-5585,-6854,-7780,-8539,-9017,-9030,-8697,-8164,-7273,
-6149,-4823,-3359,-1833,-161,1385,2771,4082,5160,5957,6395,6612,6407,5968,5200,4138,2887,1428,-118,-1738,
-3328,-4754,-6066,-7165,-7980,-8456,-8631,-8556,-8095,-7288,-6225,-4991,-3446,-1942,-290,1299,2836,4270,5494,6481,
7178,7620,7653,7369,6802,5920,4838,3451,2048,503,-1066,-2563,-3975,-5116,-6039,-6721,-7073,-7033,-6771,-6099,
-5258,-4045,-2667,-1123,429,2204,3734,5263,6620,7695,8584,9144,9361,9306,8928,8189,7137,5869,4516,3009,
1341,-194,-1644,-2992,-4105,-5023,-5578,-5805,-5781,-5360,-4643,-3683,-2452,-1106,420,2011,3539,5039,6424,7596,
8561,9211,9519,9547,9229,8583,7712,6495,5112,3513,1910,257,-1345,-2912,-4195,-5245,-6030,-6540,-6732,-6561,
-6058,-5315,-4222,-2984,-1613,-114,1426,2880,4355,5535,6601,7434,7941,8083,7975,7508,6783,5692,4414,2969,
1353,-294,-1993,-3541,-4942,-6132,-7124,-7744,-8060,-8062,-7730,-7175,-6189,-5038,-3727,-2200,-629,907,2417,3774,
5002,6020,6644,7074,7136,6939,6342,5426,4308,2980,1487,-83,-1691,-3287,-4768,-6036,-7115,-7820,-8398,-8497,
-8281,-7829,-7005,-5964,-4639,-3154,-1637,-18,1542,3008,4365,5444,6402,6998,7251,7263,6918,6223,5289,4087,
2678,1182,-443,-2021,-3532,-4900,-6069,-7032,-7673,-7928,-7880,-7570,-6867,-5987,-4762,-3410,-1933,-340,1284,2854,
4282,5523,6623,7319,7790,7965,7759,7196,6414,5362,4053,2598,1001,-612,-2170,-3672,-5022,-6001,-6845,-7347,
-7588,-7466,-6941,-6217,-5213,-3947,-2537,-994,556,2108,3536,4899,6014,6943,7520,7799,7757,7366,6662,5695,
4466,3066,1536,-63,-1733,-3317,-4734,-5909,-6986,-7665,-8044,-8115,-7868,-7319,-6446,-5307,-4012,-2523,-931,617,
2140,3536,4749,5860,6611,7049,7227,7036,6559,5741,4662,3370,1942,300,-1263,-2799,-4282,-5653,-6779,-7621,
-8092,-8347,-8241,-7743,-7051,-6036,-4769,-3385,-1816,-244,1307,2875,4208,5380,6287,6935,7319,7287,6992,6440,
5494,4353,2965,1391,-191,-1735,-3313,-4715,-5974,-6936,-7713,-8125,-8188,-7871,-7364,-6446,-5333,-4005,-2576,-993,
612,2180,3577,4878,5996,6819,7306,7493,7362,6930,6234,5152,3925,2483,970,-676,-2241,-3684,-5067,-6229,
-7052,-7632,-7881,-7826,-7399,-6712,-5660,-4461,-3028,-1484,94,1685,3211,4602,5887,6793,7500,7941,7957,7672,
7072,6225,5090,3718,2221,631,-926,-2612,-4063,-5335,-6279,-7056,-7482,-7610,-7372,-6830,-6035,-4977,-3621,-2192,
-644,987,2510,3973,5252,6349,7215,7749,7982,7938,7490,6806,5734,4504,3089,1537,-105,-1650,-3191,-4561,
-5703,-6641,-7234,-7499,-7513,-7101,-6407,-5468,-4284,-2935,-1422,173,1733,3244,4651,5879,6895,7591,7955,8095,
7804,7280,6458,5294,4001,2490,857,-723,-2321,-3814,-5068,-6137,-6941,-7462,-7567,-7354,-6878,-6091,-4989,-3768,
-2269,-780,760,2358,3814,5059,6176,7070,7611,7858,7782,7402,6697,5687,4526,3093,1533,-62,-1695,-3252,
-4599,-5879,-6826,-7476,-7829,-7863,-7577,-6941,-6032,-4938,-3576,-2057,-509,1057,2523,3916,5152,6138,6817,7311,
7393,7202,6679,5856,4767,3436,1905,343,-1291,-2868,-4376,-5757,-6842,-7668,-8200,-8344,-8225,-7757,-7061,-6035,
-4786,-3338,-1794,-233,1375,2805,4145,5246,6156,6779,7062,7010,6686,6011,5056,3838,2442,882,-690,-2338,
-3799,-5269,-6413,-7423,-8154,-8508,-8504,-8241,-7688,-6775,-5621,-4304,-2833,-1259,346,1851,3307,4573,5631,6394,
6848,7007,6885,6407,5629,4609,3296,1833,238,-1353,-2905,-4411,-5784,-6805,-7663,-8184,-8403,-8290,-7811,-7045,
-6055,-4779,-3329,-1748,-205,1390,2935,4312,5482,6428,7087,7467,7479,7189,6566,5674,4516,3167,1701,109,
-1469,-3020,-4455,-5654,-6604,-7290,-7722,-7745,-7455,-6915,-6003,-4875,-3545,-2061,-473,1094,2687,4104,5424,6523,
7295,7831,8046,7894,7474,6709,5623,4412,2988,1385,-201,-1797,-3311,-4678,-5809,-6688,-7266,-7576,-7433,-7048,
-6363,-5377,-4200,-2812,-1282,314,1874,3424,4793,5975,6852,7550,7950,8015,7723,7165,6275,5131,3745,2225,
666,-992,-2554,-4015,-5280,-6299,-7081,-7551,-7640,-7435,-6917,-6054,-4990,-3704,-2253,-721,853,2407,3815,5175,
6251,7111,7591,7801,7710,7286,6524,5504,4264,2828,1280,-363,-1988,-3447,-4843,-6041,-6921,-7561,-7821,-7869,
-7499,-6819,-5898,-4733,-3323,-1866,-249,1334,2834,4271,5441,6405,7127,7519,7589,7346,6782,5961,4849,3465,
2003,379,-1206,-2788,-4215,-5481,-6545,-7340,-7808,-7923,-7763,-7311,-6494,-5419,-4128,-2690,-1158,484,2023,3540,
4824,5957,6834,7427,7662,7636,7263,6592,5595,4366,2988,1464,-137,-1692,-3222,-4600,-5800,-6696,-7370,-7642,
-7681,-7314,-6687,-5741,-4582,-3202,-1750,-152,1401,2964,4378,5636,6642,7344,7757,7929,7692,7209,6386,5321,
3982,2502,960,-616,-2229,-3710,-4997,-6079,-6869,-7396,-7593,-7402,-6940,-6166,-5120,-3857,-2446,-897,675,2266,
3739,5072,6262,7119,7766,8041,7992,7636,7020,6046,4902,3487,1944,361,-1280,-2840,-4218,-5470,-6426,-7096,
-7454,-7556,-7279,-6698,-5805,-4687,-3354,-1851,-294,1271,2750,4157,5412,6418,7130,7653,7793,7623,7094,6268,
5217,3938,2438,833,-785,-2366,-3877,-5246,-6341,-7178,-7784,-7979,-7892,-7465,-6740,-5781,-4549,-3124,-1602,-34,
1549,3050,4401,5556,6452,7134,7456,7455,7162,6553,5625,4436,3081,1572,-26,-1648,-3166,-4570,-5818,-6827,
-7527,-7937,-7976,-7730,-7145,-6279,-5129,-3831,-2313,-751,847,2385,3854,5167,6226,7014,7541,7761,7650,7162,
6437,5418,4166,2741,1184,-396,-1940,-3444,-4783,-5898,-6742,-7302,-7568,-7483,-7071,-6357,-5388,-4115,-2713,-1189,
371,1963,3460,4845,6034,6994,7710,8074,8137,7837,7256,6381,5214,3879,2356,767,-842,-2388,-3840,-5083,
-6130,-6865,-7278,-7393,-7190,-6637,-5781,-4706,-3403,-1951,-375,1207,2752,4196,5490,6578,7398,7934,8157,8036,
7617,6863,5829,4604,3156,1601,-14,-1623,-3096,-4490,-5677,-6608,-7185,-7508,-7460,-7120,-6457,-5542,-4353,-2959,
-1458,87,1663,3159,4537,5756,6699,7421,7799,7863,7611,7055,6162,5013,3674,2180,570,-1054,-2625,-4058,
-5358,-6415,-7216,-7707,-7835,-7644,-7180,-6368,-5334,-4059,-2645,-1114,486,2059,3492,4825,5915,6804,7375,7625,
7575,7182,6473,5513,4261,2847,1341,-308,-1958,-3430,-4864,-6017,-6921,-7555,-7863,-7852,-7533,-6849,-5914,-4735,
-3369,-1866,-305,1267,2795,4212,5463,6472,7205,7674,7784,7569,7049,6228,5180,3858,2427,860,-731,-2315,
-3798,-5079,-6142,-6961,-7435,-7615,-7436,-6973,-6197,-5169,-3879,-2493,-924,639,2225,3680,5021,6172,7069,7665,
7976,7977,7595,6926,5950,4771,3381,1843,244,-1324,-2877,-4270,-5473,-6471,-7136,-7505,-7541,-7219,-6636,-5734,
-4612,-3294,-1826,-244,1309,2848,4264,5544,6550,7301,7747,7916,7705,7216,6415,5346,4029,2551,960,-613,
-2273,-3774,-5097,-6208,-7052,-7625,-7852,-7719,-7298,-6591,-5568,-4362,-2956,-1477,79,1621,3114,4412,5596,6499,
7155,7445,7447,7157,6544,5577,4419,3010,1500,-115,-1759,-3308,-4736,-6025,-7009,-7740,-8146,-8206,-7977,-7395,
-6506,-5408,-4066,-2580,-1035,542,2066,3512,4777,5835,6629,7155,7335,7201,6708,5938,4934,3664,2241,701,
-885,-2456,-3970,-5308,-6396,-7241,-7834,-8056,-7969,-7560,-6874,-5884,-4651,-3230,-1760,-141,1446,2968,4335,5512,
6472,7173,7522,7601,7311,6735,5841,4669,3317,1841,240,-1367,-2907,-4316,-5577,-6601,-7328,-7753,-7865,-7669,
-7093,-6263,-5152,-3877,-2396,-833,751,2310,3796,5062,6159,6982,7507,7721,7622,7163,6474,5470,4224,2804,
1229,-380,-1953,-3469,-4822,-5977,-6858,-7463,-7746,-7695,-7335,-6661,-5707,-4510,-3147,-1619,-56,1543,3064,4465,
5664,6656,7364,7742,7787,7512,6976,6084,4953,3652,2158,603,-1034,-2590,-4018,-5268,-6352,-7127,-7590,-7719,
-7535,-7065,-6264,-5167,-3915,-2459,-906,697,2219,3673,4988,6123,6942,7500,7778,7696,7307,6588,5612,4404,
2985,1449,-141,-1714,-3230,-4636,-5800,-6735,-7368,-7689,-7680,-7344,-6681,-5779,-4604,-3244,-1709,-168,1447,2970,
4410,5642,6630,7383,7828,7939,7748,7229,6424,5349,4015,2542,986,-599,-2145,-3571,-4855,-5893,-6706,-7196,
-7347,-7208,-6736,-5919,-4865,-3578,-2150,-556,1038,2616,4103,5439,6590,7491,8100,8392,8378,8040,7366,6408,
5236,3858,2373,773,-808,-2326,-3696,-4882,-5809,-6493,-6830,-6857,-6560,-5948,-5051,-3879,-2540,-1059,528,2093,
3639,5092,6343,7362,8139,8609,8777,8575,8093,7287,6212,4934,3493,1895,301,-1280,-2766,-4096,-5166,-6023,
-6545,-6788,-6640,-6217,-5527,-4494,-3267,-1921,-361,1190,2769,4208,5541,6659,7568,8176,8491,8480,8138,7441,
6486,5294,3929,2360,755,-867,-2426,-3864,-5120,-6140,-6851,-7278,-7358,-7117,-6562,-5756,-4670,-3381,-1961,-418,
1097,2646,4038,5287,6305,7029,7510,7686,7498,7003,6200,5124,3834,2340,745,-865,-2517,-4027,-5374,-6534,
-7415,-8024,-8308,-8237,-7869,-7213,-6218,-5043,-3653,-2193,-650,929,2404,3739,4914,5826,6505,6804,6840,6529,
5906,4995,3846,2481,957,-654,-2246,-3834,-5253,-6522,-7503,-8267,-8692,-8813,-8593,-8037,-7186,-6117,-4798,-3322,
-1787,-187,1331,2810,4118,5183,6033,6623,6814,6726,6287,5567,4584,3337,1896,399,-1184,-2760,-4297,-5620,
-6735,-7611,-8207,-8443,-8401,-7991,-7308,-6351,-5100,-3680,-2164,-548,1048,2564,3967,5182,6177,6900,7289,7392,
7169,6629,5787,4662,3345,1881,315,-1260,-2804,-4222,-5480,-6520,-7291,-7744,-7862,-7653,-7092,-6285,-5169,-3924,
-2457,-914,639,2200,3670,5000,6091,6939,7490,7729,7661,7242,6549,5544,4322,2875,1307,-299,-1913,-3452,
-4805,-5991,-6907,-7562,-7895,-7861,-7519,-6890,-5988,-4817,-3456,-1985,-435,1098,2631,3985,5191,6196,6919,7305,
7383,7147,6621,5776,4629,3309,1841,254,-1377,-2972,-4409,-5705,-6829,-7596,-8126,-8253,-8145,-7679,-6890,-5840,
-4604,-3156,-1644,-87,1442,2909,4218,5358,6191,6836,7103,7071,6739,6068,5146,3931,2525,1022,-548,-2162,
-3660,-5061,-6244,-7178,-7834,-8196,-8169,-7879,-7254,-6348,-5166,-3789,-2299,-743,881,2410,3856,5102,6124,6930,
7385,7524,7386,6919,6159,5073,3806,2357,866,-831,-2341,-3818,-5104,-6157,-6955,-7452,-7603,-7437,-6944,-6184,
-5152,-3883,-2478,-927,673,2258,3755,5137,6313,7255,7883,8246,8262,7943,7330,6437,5280,3942,2417,837,
-733,-2247,-3648,-4815,-5797,-6482,-6852,-6916,-6621,-6026,-5160,-3989,-2666,-1191,347,1887,3433,4890,6136,7193,
7977,8482,8628,8483,7993,7216,6176,4874,3452,1890,280,-1319,-2809,-4157,-5268,-6157,-6726,-7000,-6924,-6551,
-5837,-4831,-3632,-2259,-761,787,2336,3782,5117,6276,7210,7803,8140,8154,7846,7182,6259,5106,3729,2201,
616,-1014,-2556,-4014,-5306,-6314,-7065,-7533,-7633,-7412,-6889,-6050,-4986,-3708,-2271,-733,818,2359,3749,4994,
6051,6870,7389,7567,7436,7012,6239,5224,3965,2511,952,-638,-2256,-3759,-5125,-6281,-7200,-7842,-8108,-8042,
-7660,-6957,-5996,-4802,-3421,-1933,-356,1242,2717,4097,5322,6267,6964,7319,7363,7132,6553,5698,4581,3265,
1766,164,-1436,-2958,-4395,-5650,-6663,-7440,-7862,-8006,-7814,-7267,-6455,-5391,-4082,-2652,-1105,488,2038,3503,
4831,5919,6781,7327,7556,7471,7036,6326,5362,4125,2698,1191,-417,-2042,-3556,-4915,-6078,-7021,-7650,-7941,
-7929,-7592,-6975,-6043,-4884,-3497,-2028,-407,1139,2681,4053,5241,6256,6965,7373,7457,7239,6689,5820,4716,
3398,1925,373,-1227,-2788,-4280,-5561,-6642,-7432,-7898,-8069,-7898,-7384,-6607,-5576,-4310,-2872,-1341,241,1780,
3271,4577,5693,6550,7128,7409,7372,6975,6330,5350,4158,2729,1169,-390,-1973,-3516,-4880,-6097,-6996,-7693,
-8072,-8046,-7712,-7099,-6187,-5036,-3699,-2232,-687,868,2422,3816,5101,6099,6874,7320,7431,7277,6770,5991,
4890,3635,2181,608,-1011,-2564,-4007,-5282,-6395,-7180,-7737,-7886,-7783,-7329,-6562,-5548,-4279,-2830,-1301,299,
1861,3323,4675,5830,6760,7354,7696,7706,7372,6702,5769,4626,3251,1754,165,-1435,-2962,-4421,-5629,-6584,
-7243,-7630,-7646,-7353,-6758,-5881,-4757,-3455,-1935,-403,1198,2706,4102,5360,6374,7150,7627,7778,7612,7169,
6372,5309,4027,2605,1067,-547,-2090,-3568,-4896,-6037,-6904,-7476,-7707,-7649,-7222,-6479,-5469,-4243,-2888,-1378,
204,1712,3218,4555,5745,6651,7302,7640,7665,7379,6732,5846,4713,3361,1832,276,-1317,-2865,-4310,-5517,
-6526,-7212,-7659,-7758,-7496,-6961,-6147,-5010,-3710,-2224,-703,855,2407,3827,5080,6166,6971,7504,7692,7583,
7126,6408,5362,4118,2689,1182,-423,-1994,-3512,-4819,-5973,-6850,-7392,-7651,-7601,-7195,-6497,-5471,-4290,-2882,
-1348,204,1814,3316,4689,5895,6885,7574,7991,8062,7837,7262,6379,5289,3970,2494,958,-616,-2123,-3538,
-4792,-5796,-6516,-6949,-7049,-6869,-6308,-5473,-4407,-3101,-1612,-89,1520,3065,4532,5861,6931,7824,8378,8639,
8541,8186,7468,6498,5283,3854,2317,744,-883,-2356,-3718,-4868,-5792,-6394,-6706,-6679,-6345,-5697,-4768,-3575,
-2256,-788,756,2314,3809,5203,6413,7388,8113,8488,8573,8347,7798,6955,5865,4563,3039,1441,-175,-1738,
-3196,-4530,-5540,-6347,-6821,-7030,-6867,-6382,-5620,-4599,-3311,-1905,-375,1183,2676,4166,5459,6547,7428,7987,
8255,8167,7769,7067,6095,4869,3465,1925,323,-1299,-2849,-4212,-5385,-6373,-7019,-7354,-7389,-7080,-6517,-5614,
-4466,-3138,-1716,-120,1401,2947,4283,5503,6497,7229,7652,7820,7583,7097,6239,5148,3856,2378,798,-767,
-2344,-3796,-5117,-6194,-6998,-7526,-7727,-7587,-7129,-6375,-5372,-4114,-2707,-1177,386,1909,3397,4758,5905,6795,
7424,7749,7727,7394,6747,5813,4640,3251,1733,177,-1415,-2951,-4328,-5503,-6458,-7128,-7537,-7560,-7275,-6697,
-5808,-4664,-3321,-1864,-330,1255,2821,4212,5483,6533,7312,7761,7914,7764,7291,6508,5481,4229,2779,1248,
-390,-1966,-3412,-4753,-5860,-6707,-7268,-7465,-7399,-7003,-6275,-5283,-4098,-2664,-1192,381,1888,3352,4709,5876,
6777,7443,7785,7821,7482,6838,5898,4775,3359,1908,231,-1368,-2948,-4383,-5624,-6558,-7300,-7688,-7783,-7531,
-6968,-6165,-5104,-3789,-2346,-822,754,2240,3660,4906,5927,6725,7204,7396,7272,6796,6058,4993,3709,2306,
764,-873,-2433,-3944,-5299,-6461,-7326,-7915,-8159,-8137,-7752,-7094,-6123,-4915,-3596,-2076,-516,1019,2524,3907,
5060,6013,6676,7037,7097,6796,6238,5374,4251,2920,1422,-144,-1734,-3296,-4719,-5905,-6925,-7659,-8097,-8210,
-7962,-7455,-6632,-5504,-4241,-2766,-1225,335,1884,3363,4638,5758,6606,7187,7426,7318,6932,6241,5258,4068,
2670,1160,-427,-2004,-3475,-4803,-5948,-6826,-7416,-7721,-7669,-7342,-6651,-5701,-4529,-3175,-1672,-101,1479,2967,
4354,5578,6569,7270,7712,7831,7614,7034,6183,5097,3809,2318,764,-836,-2391,-3881,-5162,-6183,-6952,-7474,
-7589,-7380,-6912,-6099,-5054,-3787,-2375,-835,744,2283,3742,5057,6162,7005,7596,7864,7819,7471,6783,5842,
4610,3235,1710,126,-1462,-2936,-4324,-5505,-6438,-7096,-7399,-7425,-7133,-6469,-5579,-4419,-3088,-1629,-58,1515,
3024,4445,5659,6660,7388,7830,7944,7772,7238,6420,5351,4039,2568,984,-602,-2157,-3637,-4933,-6012,-6803,
-7317,-7541,-7413,-6926,-6194,-5178,-3919,-2545,-1015,528,2060,3541,4891,6012,6928,7513,7818,7791,7431,6801,
5844,4659,3320,1781,216,-1380,-2896,-4291,-5485,-6457,-7137,-7505,-7507,-7235,-6688,-5790,-4641,-3333,-1855,-292,
1276,2805,4196,5467,6498,7265,7734,7881,7709,7232,6416,5328,4071,2640,1081,-497,-2055,-3544,-4864,-6014,
-6831,-7385,-7645,-7516,-7136,-6402,-5431,-4216,-2824,-1335,204,1746,3184,4516,5667,6574,7192,7555,7542,7238,
6592,5688,4505,3135,1611,26,-1590,-3122,-4533,-5772,-6761,-7505,-7898,-7972,-7761,-7237,-6394,-5310,-3996,-2557,
-994,564,2081,3505,4769,5808,6598,7087,7271,7145,6703,5928,4946,3697,2256,709,-908,-2470,-3960,-5292,
-6421,-7263,-7851,-8101,-8057,-7678,-6955,-5991,-4801,-3386,-1845,-304,1258,2746,4130,5307,6240,6905,7299,7340,
7068,6482,5613,4510,3183,1738,182,-1423,-2964,-4398,-5635,-6659,-7396,-7833,-7918,-7721,-7179,-6364,-5305,-3978,
-2521,-975,596,2148,3611,4866,5960,6796,7332,7574,7494,7074,6356,5378,4128,2738,1218,-388,-1951,-3465,
-4826,-6012,-6920,-7535,-7836,-7813,-7445,-6790,-5843,-4682,-3335,-1858,-289,1242,2739,4111,5282,6241,6920,7320,
7402,7133,6576,5726,4596,3267,1775,189,-1406,-2975,-4428,-5689,-6761,-7546,-8038,-8211,-8010,-7527,-6763,-5689,
-4447,-3008,-1504,64,1585,3049,4352,5474,6339,6903,7192,7113,6753,6077,5084,3903,2514,1013,-582,-2167,
-3666,-5008,-6179,-7108,-7731,-8055,-8061,-7740,-7109,-6191,-5036,-3670,-2180,-590,999,2502,3938,5216,6227,6986,
7461,7596,7417,6899,6085,5029,3757,2315,801,-776,-2315,-3741,-5026,-6081,-6851,-7351,-7490,-7338,-6850,-6084,
-5060,-3789,-2354,-830,773,2336,3826,5155,6295,7203,7839,8152,8147,7837,7185,6270,5088,3717,2230,661,
-940,-2431,-3810,-4993,-5963,-6617,-6993,-7023,-6754,-6133,-5265,-4132,-2816,-1345,200,1770,3275,4703,5952,6970,
7729,8193,8343,8174,7657,6885,5814,4527,3059,1468,-151,-1732,-3215,-4529,-5622,-6459,-7014,-7254,-7155,-6760,
-6046,-5081,-3880,-2516,-1039,496,2020,3494,4812,5957,6857,7476,7795,7768,7441,6803,5875,4674,3298,1783,
184,-1446,-2991,-4403,-5628,-6626,-7335,-7736,-7813,-7587,-7050,-6202,-5087,-3805,-2352,-809,750,2274,3677,4947,
6008,6783,7301,7507,7380,6935,6184,5167,3944,2516,988,-566,-2125,-3592,-4937,-6052,-6893,-7467,-7702,-7593,
-7185,-6470,-5487,-4269,-2869,-1345,218,1795,3299,4676,5877,6825,7513,7908,7978,7738,7173,6328,5207,3867,
2422,882,-683,-2190,-3564,-4791,-5787,-6518,-6945,-7027,-6812,-6265,-5416,-4320,-3011,-1583,-33,1548,3092,4533,
5839,6928,7774,8308,8533,8454,8052,7313,6328,5088,3671,2096,502,-1106,-2595,-3963,-5115,-6022,-6613,-6925,
-6907,-6579,-5931,-5015,-3857,-2527,-1057,467,1994,3470,4826,5998,6932,7606,7984,8032,7736,7147,6272,5123,
3745,2242,644,-995,-2575,-4045,-5348,-6414,-7232,-7725,-7928,-7783,-7310,-6572,-5549,-4312,-2925,-1416,116,1621,
3030,4296,5364,6205,6745,6978,6908,6490,5776,4788,3540,2135,593,-1008,-2596,-4123,-5509,-6705,-7637,-8292,
-8633,-8643,-8327,-7722,-6822,-5690,-4357,-2885,-1327,227,1746,3129,4348,5336,6047,6474,6590,6392,5889,5086,
4025,2747,1304,-244,-1809,-3365,-4799,-6056,-7113,-7900,-8396,-8555,-8379,-7912,-7125,-6076,-4838,-3408,-1886,-304,
1273,2769,4129,5300,6208,6836,7153,7135,6803,6181,5259,4110,2754,1255,-324,-1915,-3432,-4796,-5982,-6896,
-7559,-7894,-7935,-7646,-7049,-6149,-5021,-3670,-2170,-603,971,2473,3887,5127,6134,6902,7377,7537,7376,6878,
6089,5046,3772,2321,784,-813,-2374,-3864,-5183,-6271,-7103,-7639,-7840,-7734,-7289,-6572,-5576,-4358,-2955,-1460,
111,1647,3106,4429,5549,6449,7074,7386,7383,7066,6439,5514,4347,2980,1470,-113,-1712,-3246,-4664,-5892,
-6880,-7595,-7979,-8062,-7812,-7247,-6401,-5315,-4033,-2580,-1039,524,2053,3491,4753,5814,6606,7113,7307,7171,
6727,5988,4982,3756,2329,809,-758,-2299,-3762,-5059,-6152,-6997,-7542,-7769,-7670,-7242,-6530,-5523,-4298,-2894,
-1377,195,1765,3282,4668,5861,6840,7526,7921,7983,7738,7167,6322,5209,3919,2449,929,-614,-2121,-3498,
-4695,-5691,-6404,-6808,-6896,-6659,-6109,-5261,-4152,-2855,-1377,165,1765,3302,4762,6062,7170,7997,8564,8805,
8727,8323,7607,6621,5410,4005,2491,921,-634,-2114,-3461,-4597,-5478,-6080,-6375,-6322,-5969,-5288,-4357,-3188,
-1824,-337,1202,2756,4245,5608,6771,7705,8391,8766,8814,8546,7976,7110,5967,4627,3136,1544,-77,-1646,
-3103,-4398,-5454,-6255,-6756,-6932,-6783,-6326,-5572,-4555,-3311,-1941,-458,1058,2558,3958,5224,6290,7119,7641,
7869,7780,7367,6629,5630,4389,2979,1417,-194,-1782,-3304,-4698,-5881,-6822,-7468,-7821,-7841,-7541,-6918,-6043,
-4916,-3595,-2143,-621,925,2410,3793,4986,5975,6691,7123,7231,7007,6484,5663,4573,3275,1808,240,-1348,
-2919,-4383,-5659,-6710,-7508,-7983,-8154,-8017,-7549,-6793,-5773,-4518,-3107,-1567,0,1558,3025,4351,5480,6377,
6972,7284,7265,6927,6282,5362,4199,2845,1359,-195,-1754,-3244,-4607,-5795,-6713,-7377,-7711,-7735,-7418,-6800,
-5902,-4764,-3434,-1942,-387,1178,2708,4116,5368,6390,7155,7633,7808,7656,7189,6420,5386,4121,2682,1135,
-443,-2004,-3459,-4751,-5844,-6684,-7239,-7456,-7349,-6929,-6192,-5195,-3969,-2582,-1080,472,2030,3498,4845,5990,
6885,7500,7805,7785,7454,6821,5911,4754,3397,1895,300,-1291,-2824,-4244,-5472,-6455,-7183,-7585,-7683,-7455,
-6906,-6064,-4988,-3696,-2264,-745,789,2302,3707,4962,6001,6788,7289,7456,7318,6827,6068,5037,3773,2333,
791,-824,-2381,-3884,-5214,-6323,-7186,-7746,-7987,-7915,-7519,-6816,-5866,-4680,-3295,-1812,-246,1302,2804,4160,
5321,6264,6930,7291,7338,7062,6477,5589,4463,3123,1653,92,-1472,-2990,-4386,-5603,-6603,-7325,-7726,-7826,
-7592,-7039,-6192,-5117,-3825,-2385,-845,714,2248,3691,4974,6057,6880,7422,7655,7577,7164,6486,5494,4277,
2871,1350,-225,-1786,-3270,-4595,-5716,-6586,-7176,-7450,-7389,-7003,-6342,-5370,-4181,-2798,-1315,231,1794,3297,
4666,5867,6831,7528,7923,7982,7739,7181,6332,5228,3921,2440,885,-719,-2279,-3719,-4977,-6022,-6771,-7243,
-7382,-7214,-6738,-5954,-4922,-3689,-2262,-753,795,2309,3725,5008,6090,6907,7459,7699,7634,7224,6517,5538,
4322,2919,1395,-181,-1769,-3274,-4650,-5817,-6740,-7381,-7708,-7716,-7402,-6784,-5891,-4732,-3410,-1947,-410,1155,
2642,4018,5214,6200,6924,7343,7463,7251,6715,5888,4787,3460,1972,422,-1184,-2716,-4162,-5439,-6492,-7273,
-7758,-7901,-7752,-7262,-6506,-5475,-4259,-2871,-1363,199,1728,3202,4532,5663,6541,7117,7404,7384,7033,6379,
5459,4299,2932,1441,-114,-1681,-3171,-4553,-5719,-6657,-7319,-7673,-7700,-7399,-6787,-5900,-4747,-3416,-1940,-396,
1153,2684,4102,5337,6366,7118,7579,7724,7534,7036,6260,5224,3950,2521,976,-594,-2158,-3617,-4914,-6013,
-6853,-7362,-7577,-7464,-7044,-6303,-5307,-4083,-2704,-1192,349,1896,3362,4677,5811,6715,7325,7652,7644,7323,
6689,5780,4613,3254,1748,177,-1401,-2931,-4334,-5564,-6544,-7238,-7638,-7707,-7456,-6895,-6041,-4955,-3652,-2205,
-685,867,2389,3794,5039,6059,6827,7309,7485,7309,6867,6092,5058,3794,2351,820,-791,-2381,-3853,-5191,
-6290,-7160,-7735,-7988,-7907,-7522,-6835,-5861,-4656,-3273,-1787,-238,1318,2797,4141,5320,6247,6906,7261,7292,
7026,6424,5549,4424,3087,1601,16,-1557,-3075,-4478,-5707,-6684,-7403,-7808,-7912,-7677,-7141,-6303,-5239,-3942,
-2497,-962,591,2129,3565,4846,5907,6750,7288,7519,7410,7004,6286,5302,4082,2682,1158,-416,-1972,-3466,
-4789,-5919,-6807,-7391,-7668,-7627,-7254,-6606,-5657,-4465,-3103,-1606,-39,1517,3010,4360,5532,6476,7171,7556,
7656,7411,6862,5999,4876,3554,2079,506,-1063,-2602,-4016,-5265,-6315,-7072,-7545,-7678,-7494,-6988,-6198,-5136,
-3893,-2468,-946,598,2125,3550,4818,5898,6703,7235,7474,7391,6991,6289,5302,4092,2685,1153,-427,-2014,
-3521,-4896,-6063,-6991,-7639,-7957,-7952,-7619,-6979,-6060,-4921,-3600,-2153,-611,926,2432,3790,5010,5983,6692,
7106,7191,6969,6451,5624,4550,3263,1809,248,-1339,-2889,-4327,-5605,-6662,-7437,-7925,-8094,-7947,-7487,-6720,
-5702,-4464,-3046,-1533,37,1575,3025,4358,5489,6366,6968,7257,7241,6888,6224,5288,4120,2738,1265,-293,
-1848,-3354,-4702,-5860,-6775,-7425,-7755,-7755,-7432,-6806,-5900,-4723,-3395,-1892,-352,1224,2729,4144,5360,6383,
7140,7615,7754,7604,7127,6357,5303,4037,2607,1078,-497,-2032,-3484,-4750,-5835,-6641,-7152,-7330,-7200,-6743,
-6002,-4993,-3772,-2388,-880,693,2235,3721,5053,6199,7095,7709,8036,8041,7741,7116,6224,5063,3713,2213,
624,-941,-2447,-3834,-5019,-6000,-6687,-7081,-7144,-6872,-6304,-5444,-4344,-3052,-1602,-82,1443,2952,4363,5594,
6629,7400,7876,8029,7864,7396,6626,5568,4305,2882,1326,-272,-1853,-3335,-4654,-5755,-6600,-7155,-7408,-7331,
-6962,-6286,-5341,-4157,-2804,-1317,230,1777,3239,4584,5734,6657,7295,7638,7651,7347,6730,5817,4673,3337,
1828,263,-1329,-2863,-4292,-5534,-6543,-7253,-7671,-7763,-7546,-7016,-6206,-5166,-3874,-2428,-910,663,2187,3626,
4891,5947,6740,7266,7489,7371,6956,6239,5243,4005,2601,1071,-497,-2059,-3527,-4841,-5965,-6842,-7412,-7674,
-7610,-7262,-6563,-5632,-4456,-3103,-1608,-48,1516,3014,4395,5593,6559,7253,7649,7733,7498,6955,6127,5031,
3729,2271,718,-856,-2373,-3787,-5027,-6039,-6783,-7230,-7357,-7167,-6647,-5835,-4767,-3475,-2046,-503,1046,2579,
4013,5310,6395,7237,7796,8053,7962,7560,6861,5887,4668,3283,1765,183,-1386,-2884,-4224,-5359,-6261,-6861,
-7161,-7145,-6803,-6185,-5273,-4124,-2788,-1316,226,1769,3253,4614,5808,6784,7491,7908,8013,7788,7241,6405,
5314,4015,2566,1009,-553,-2097,-3535,-4807,-5865,-6652,-7129,-7303,-7146,-6688,-5931,-4920,-3699,-2301,-778,760,
2292,3725,5019,6109,6954,7521,7800,7737,7378,6714,5757,4561,3160,1643,61,-1514,-3031,-4391,-5573,-6501,
-7165,-7513,-7536,-7237,-6639,-5754,-4633,-3306,-1871,-349,1188,2682,4060,5284,6278,7015,7469,7603,7420,6936,
6133,5079,3812,2373,832,-763,-2308,-3763,-5057,-6132,-6941,-7461,-7653,-7551,-7111,-6385,-5403,-4190,-2805,-1321,
235,1762,3218,4545,5679,6560,7193,7497,7483,7130,6484,5558,4368,3013,1511,-47,-1615,-3143,-4540,-5741,
-6694,-7384,-7763,-7808,-7545,-6976,-6126,-5024,-3725,-2292,-760,790,2282,3673,4903,5923,6693,7171,7328,7188,
6718,5942,4905,3646,2229,694,-895,-2446,-3923,-5252,-6365,-7223,-7760,-8002,-7921,-7494,-6795,-5815,-4628,-3267,
-1782,-240,1283,2767,4103,5250,6155,6790,7125,7159,6859,6253,5372,4231,2886,1380,-180,-1759,-3301,-4711,
-5934,-6930,-7664,-8089,-8182,-7959,-7421,-6599,-5508,-4238,-2802,-1290,250,1768,3184,4438,5515,6308,6823,7012,
6897,6450,5720,4715,3484,2071,539,-1043,-2612,-4091,-5415,-6536,-7401,-7984,-8246,-8195,-7839,-7174,-6222,-5058,
-3681,-2176,-622,938,2416,3786,4985,5930,6594,7004,7070,6820,6249,5401,4299,2991,1521,-33,-1623,-3151,
-4576,-5814,-6842,-7574,-8023,-8132,-7915,-7391,-6583,-5528,-4263,-2830,-1320,250,1782,3225,4523,5597,6433,7004,
7245,7192,6807,6116,5163,3954,2565,1052,-529,-2096,-3583,-4918,-6074,-6978,-7599,-7882,-7856,-7515,-6844,-5926,
-4758,-3423,-1947,-387,1181,2674,4070,5279,6271,6985,7397,7506,7325,6795,6006,4937,3657,2204,644,-934,
-2464,-3890,-5139,-6167,-6937,-7402,-7564,-7388,-6887,-6127,-5091,-3834,-2431,-910,633,2172,3627,4933,6039,6920,
7503,7782,7731,7360,6700,5759,4579,3210,1717,170,-1401,-2895,-4264,-5437,-6353,-7005,-7327,-7339,-7039,-6435,
-5531,-4394,-3073,-1598,-66,1489,2981,4361,5582,6595,7338,7792,7942,7754,7250,6432,5358,4086,2646,1101,
-465,-2011,-3440,-4737,-5815,-6611,-7131,-7333,-7208,-6775,-6051,-5057,-3847,-2464,-958,565,2111,3563,4881,5994,
6872,7471,7784,7755,7437,6798,5864,4700,3325,1828,252,-1315,-2829,-4203,-5410,-6365,-7059,-7452,-7514,-7256,
-6679,-5835,-4720,-3420,-1975,-449,1113,2625,4011,5261,6271,7037,7500,7663,7503,7045,6268,5256,4013,2592,
1056,-529,-2081,-3540,-4862,-5946,-6768,-7301,-7502,-7402,-6982,-6254,-5287,-4088,-2719,-1222,305,1839,3298,4650,
5808,6731,7384,7738,7769,7475,6892,6025,4907,3572,2120,557,-1018,-2543,-3952,-5153,-6143,-6854,-7238,-7311,
-7080,-6531,-5704,-4612,-3314,-1877,-336,1224,2739,4147,5405,6462,7267,7804,8010,7913,7476,6746,5733,4502,
3102,1573,5,-1549,-3022,-4343,-5482,-6347,-6933,-7203,-7163,-6786,-6117,-5169,-4005,-2653,-1166,380,1919,3414,
4761,5929,6875,7542,7906,7978,7704,7131,6268,5158,3829,2359,812,-768,-2285,-3696,-4942,-5960,-6720,-7179,
-7322,-7125,-6628,-5837,-4779,-3521,-2104,-610,925,2440,3859,5133,6219,7036,7586,7816,7727,7327,6638,5644,
4424,3020,1481,-107,-1685,-3188,-4541,-5697,-6605,-7228,-7539,-7539,-7227,-6592,-5685,-4552,-3229,-1768,-245,1286,
2774,4142,5352,6321,7032,7445,7538,7305,6746,5924,4833,3536,2076,546,-1033,-2567,-4005,-5269,-6314,-7088,
-7561,-7708,-7549,-7070,-6313,-5294,-4043,-2633,-1147,421,1946,3402,4699,5807,6673,7274,7544,7494,7131,6452,
5495,4291,2917,1430,-138,-1692,-3178,-4535,-5706,-6635,-7278,-7613,-7629,-7319,-6701,-5821,-4696,-3387,-1934,-408,
1137,2625,4016,5227,6229,6954,7387,7511,7311,6793,6000,4933,3663,2217,676,-894,-2437,-3883,-5158,-6224,
-7036,-7544,-7750,-7626,-7192,-6473,-5476,-4258,-2882,-1381,158,1678,3132,4448,5566,6459,7067,7368,7343,6989,
6346,5405,4237,2882,1384,-181,-1758,-3262,-4641,-5825,-6775,-7448,-7822,-7877,-7621,-7054,-6207,-5099,-3797,-2343,
-810,744,2253,3641,4874,5908,6672,7146,7307,7151,6671,5897,4859,3605,2184,657,-906,-2460,-3912,-5223,
-6315,-7145,-7678,-7908,-7797,-7381,-6662,-5687,-4483,-3108,-1611,-78,1459,2928,4258,5405,6311,6957,7303,7320,
7028,6436,5553,4419,3090,1632,94,-1464,-2959,-4346,-5549,-6521,-7230,-7627,-7698,-7454,-6904,-6059,-4977,-3698,
-2273,-757,790,2304,3717,4995,6059,6868,7383,7586,7458,7018,6243,5227,3979,2568,1040,-531,-2073,-3535,
-4845,-5952,-6808,-7372,-7627,-7567,-7188,-6506,-5565,-4380,-3030,-1553,-14,1521,2986,4333,5492,6424,7097,7453,
7505,7225,6640,5781,4673,3365,1914,364,-1189,-2709,-4116,-5343,-6353,-7096,-7534,-7655,-7460,-6959,-6164,-5108,
-3841,-2425,-906,642,2159,3580,4858,5921,6745,7280,7510,7427,7024,6323,5350,4149,2772,1270,-294,-1855,
-3343,-4692,-5848,-6751,-7360,-7659,-7635,-7282,-6633,-5718,-4567,-3236,-1773,-242,1290,2767,4120,5298,6253,6947,
7359,7463,7243,6723,5898,4812,3511,2052,507,-1054,-2576,-3981,-5224,-6241,-7000,-7465,-7614,-7439,-6954,-6178,
-5134,-3885,-2469,-952,609,2149,3599,4905,6012,6863,7441,7701,7652,7291,6624,5676,4493,3124,1619,54,
-1508,-2989,-4333,-5493,-6398,-7038,-7373,-7394,-7094,-6488,-5602,-4480,-3159,-1705,-176,1359,2846,4222,5437,6427,
7164,7607,7732,7531,7009,6197,5128,3840,2400,856,-717,-2254,-3696,-4974,-6035,-6840,-7348,-7537,-7405,-6961,
-6225,-5230,-4013,-2626,-1133,416,1944,3395,4701,5816,6693,7289,7580,7557,7210,6558,5630,4462,3108,1625,
71,-1486,-2984,-4356,-5548,-6502,-7180,-7547,-7597,-7329,-6754,-5903,-4812,-3522,-2090,-566,980,2487,3885,5124,
6144,6903,7369,7531,7371,6900,6139,5114,3869,2453,937,-621,-2147,-3587,-4867,-5943,-6763,-7294,-7514,-7415,
-6995,-6279,-5294,-4084,-2697,-1199,355,1900,3369,4705,5850,6763,7398,7736,7756,7464,6871,5995,4878,3563,
2103,565,-994,-2497,-3876,-5069,-6038,-6722,-7113,-7186,-6944,-6399,-5567,-4489,-3205,-1768,-245,1306,2816,4228,
5482,6535,7328,7836,8036,7911,7468,6726,5717,4487,3078,1559,-10,-1564,-3033,-4360,-5478,-6335,-6909,-7165,
-7097,-6721,-6048,-5115,-3948,-2596,-1121,414,1949,3416,4750,5899,6817,7471,7833,7880,7612,7036,6167,5046,
3713,2245,687,-884,-2405,-3812,-5043,-6052,-6791,-7221,-7331,-7118,-6591,-5788,-4736,-3485,-2089,-595,933,2432,
3838,5097,6153,6956,7480,7702,7612,7210,6509,5534,4326,2929,1410,-168,-1727,-3208,-4547,-5682,-6579,-7188,
-7491,-7472,-7134,-6495,-5583,-4433,-3100,-1648,-122,1407,2880,4242,5423,6382,7070,7460,7530,7290,6738,5904,
4823,3532,2091,546,-1022,-2558,-3979,-5229,-6259,-7018,-7483,-7637,-7467,-6991,-6220,-5188,-3942,-2537,-1022,527,
2056,3491,4784,5882,6737,7306,7575,7518,7143,6464,5509,4323,2959,1466,-84,-1628,-3109,-4440,-5586,-6485,
-7097,-7409,-7407,-7092,-6483,-5609,-4499,-3195,-1748,-227,1318,2814,4195,5412,6400,7131,7575,7703,7508,7009,
6213,5152,3875,2434,896,-675,-2216,-3654,-4932,-5998,-6798,-7302,-7488,-7352,-6901,-6159,-5156,-3942,-2557,-1060,
490,2022,3474,4784,5895,6758,7337,7610,7568,7218,6567,5645,4487,3135,1648,91,-1474,-2972,-4346,-5533,
-6485,-7162,-7532,-7586,-7322,-6747,-5888,-4793,-3497,-2066,-553,972,2454,3825,5047,6050,6807,7268,7425,7265,
6790,6019,4988,3727,2309,776,-791,-2341,-3798,-5095,-6182,-7012,-7546,-7756,-7651,-7233,-6522,-5558,-4362,-3002,
-1528,7,1528,2983,4301,5430,6325,6950,7271,7284,6980,6367,5478,4336,3002,1528,-22,-1585,-3091,-4478,
-5685,-6663,-7359,-7751,-7829,-7579,-7025,-6193,-5116,-3843,-2427,-913,622,2117,3516,4751,5782,6558,7055,7246,
7124,6690,5966,4968,3743,2341,829,-730,-2265,-3721,-5020,-6119,-6960,-7520,-7775,-7703,-7322,-6642,-5690,-4515,
-3156,-1682,-147,1389,2862,4202,5368,6302,6967,7331,7383,7120,6556,5701,4599,3286,1822,270,-1294,-2808,
-4197,-5404,-6381,-7091,-7502,-7604,-7390,-6865,-6053,-4981,-3713,-2287,-777,765,2269,3686,4957,6033,6858,7401,
7635,7543,7131,6415,5440,4237,2855,1358,-189,-1727,-3191,-4514,-5633,-6503,-7095,-7377,-7337,-6988,-6341,-5427,
-4279,-2947,-1483,46,1588,3065,4420,5600,6544,7220,7602,7657,7406,6830,5978,4871,3565,2112,566,-1003,
-2529,-3952,-5208,-6251,-7024,-7496,-7656,-7495,-7017,-6251,-5232,-4003,-2619,-1126,400,1907,3328,4607,5689,6525,
7080,7331,7266,6885,6202,5249,4061,2685,1175,-385,-1943,-3427,-4770,-5908,-6809,-7424,-7742,-7748,-7439,-6827,
-5944,-4815,-3497,-2051,-533,997,2474,3845,5041,6021,6740,7168,7282,7078,6569,5780,4733,3478,2061,538,
-1019,-2554,-3987,-5256,-6307,-7094,-7582,-7763,-7619,-7173,-6433,-5425,-4201,-2810,-1304,243,1774,3217,4522,5639,
6516,7118,7419,7406,7075,6441,5532,4389,3052,1581,51,-1490,-2969,-4323,-5483,-6406,-7049,-7390,-7410,-7121,
-6526,-5661,-4554,-3244,-1789,-253,1309,2830,4237,5474,6488,7244,7708,7854,7685,7205,6425,5385,4119,2691,
1164,-398,-1935,-3370,-4649,-5719,-6537,-7063,-7278,-7169,-6755,-6040,-5065,-3872,-2507,-1032,498,2022,3463,4771,
5891,6773,7386,7700,7704,7395,6783,5890,4746,3402,1914,347,-1229,-2742,-4133,-5339,-6311,-7008,-7406,-7487,
-7255,-6707,-5878,-4807,-3529,-2109,-595,928,2419,3808,5038,6058,6823,7300,7467,7322,6867,6119,5120,3894,
2500,995,-570,-2118,-3584,-4903,-6009,-6865,-7426,-7677,-7610,-7229,-6558,-5616,-4444,-3093,-1618,-80,1445,2908,
4235,5385,6302,6956,7313,7364,7096,6522,5666,4557,3255,1806,275,-1269,-2768,-4154,-5370,-6362,-7074,-7487,
-7582,-7350,-6807,-5981,-4907,-3630,-2199,-671,880,2402,3827,5093,6152,6957,7486,7715,7631,7238,6561,5601,
4413,3043,1549,1,-1534,-2987,-4297,-5410,-6272,-6860,-7130,-7081,-6721,-6055,-5119,-3951,-2610,-1140,388,1918,
3386,4732,5905,6856,7543,7931,8005,7763,7213,6376,5296,4002,2558,1019,-551,-2084,-3512,-4771,-5807,-6578,
-7047,-7205,-7045,-6573,-5805,-4782,-3548,-2154,-669,851,2342,3742,5000,6065,6888,7442,7686,7612,7218,6521,
5552,4350,2965,1453,-118,-1689,-3187,-4551,-5709,-6615,-7234,-7544,-7524,-7198,-6581,-5702,-4596,-3300,-1880,-377,
1135,2600,3950,5129,6090,6793,7203,7307,7093,6574,5764,4693,3410,1975,441,-1124,-2651,-4080,-5353,-6411,
-7210,-7713,-7894,-7756,-7306,-6561,-5565,-4354,-2984,-1494,39,1554,2995,4290,5388,6240,6816,7093,7062,6719,
6073,5153,3991,2635,1146,-403,-1953,-3438,-4789,-5948,-6877,-7525,-7875,-7902,-7615,-7017,-6146,-5023,-3714,-2266,
-747,784,2276,3660,4875,5883,6626,7088,7232,7063,6585,5819,4790,3546,2145,631,-927,-2458,-3892,-5171,
-6238,-7042,-7553,-7753,-7637,-7217,-6501,-5524,-4325,-2953,-1461,80,1614,3065,4383,5512,6404,7020,7341,7344,
7034,6412,5517,4380,3046,1570,23,-1537,-3040,-4421,-5616,-6572,-7259,-7644,-7714,-7468,-6921,-6096,-5027,-3743,
-2311,-789,759,2268,3670,4910,5934,6704,7190,7368,7226,6774,6020,5000,3762,2352,841,-715,-2249,-3696,
-4994,-6086,-6929,-7482,-7718,-7631,-7239,-6545,-5590,-4413,-3054,-1581,-46,1490,2949,4289,5438,6357,7009,7366,
7419,7159,6588,5732,4624,3310,1847,297,-1260,-2760,-4143,-5345,-6312,-7019,-7426,-7520,-7294,-6754,-5937,-4872,
-3598,-2175,-661,884,2400,3825,5098,6162,6974,7500,7717,7618,7206,6500,5528,4327,2956,1465,-86,-1619,
-3071,-4377,-5477,-6329,-6902,-7171,-7127,-6767,-6110,-5178,-4010,-2665,-1193,349,1883,3353,4700,5869,6815,7493,
7878,7952,7711,7159,6327,5246,3968,2541,1018,-527,-2032,-3436,-4667,-5676,-6419,-6862,-6996,-6808,-6317,-5543,
-4522,-3289,-1896,-402,1130,2642,4059,5326,6387,7197,7734,7967,7891,7507,6828,5874,4687,3314,1810,252,
-1300,-2779,-4121,-5266,-6167,-6787,-7096,-7084,-6758,-6125,-5216,-4083,-2765,-1321,191,1710,3182,4541,5741,6717,
7436,7847,7950,7731,7203,6380,5312,4035,2602,1076,-481,-1993,-3403,-4647,-5680,-6458,-6950,-7135,-7005,-6561,
-5812,-4803,-3575,-2184,-690,836,2339,3765,5051,6140,6992,7569,7832,7776,7395,6727,5789,4623,3273,1804,
262,-1280,-2768,-4120,-5286,-6210,-6860,-7192,-7219,-6930,-6349,-5491,-4395,-3104,-1680,-170,1365,2844,4215,5421,
6411,7145,7586,7721,7539,7046,6262,5220,3967,2555,1044,-503,-2019,-3446,-4716,-5779,-6589,-7103,-7305,-7190,
-6754,-6029,-5047,-3853,-2489,-1016,514,2025,3466,4773,5890,6768,7378,7691,7699,7389,6781,5892,4755,3418,
1942,390,-1165,-2669,-4044,-5239,-6202,-6894,-7287,-7361,-7118,-6567,-5732,-4644,-3369,-1947,-448,1072,2555,3932,
5150,6163,6920,7395,7560,7404,6945,6191,5171,3938,2531,1022,-543,-2089,-3542,-4850,-5957,-6805,-7366,-7617,
-7546,-7165,-6477,-5529,-4357,-3011,-1542,-22,1495,2941,4259,5401,6305,6949,7290,7317,7030,6424,5538,4405,
3074,1599,52,-1505,-3010,-4401,-5614,-6599,-7319,-7742,-7848,-7643,-7125,-6330,-5283,-4025,-2612,-1114,416,1910,
3309,4552,5584,6373,6883,7088,6977,6561,5842,4854,3633,2239,731,-830,-2376,-3836,-5150,-6265,-7129,-7706,
-7974,-7922,-7554,-6883,-5943,-4774,-3434,-1968,-439,1089,2553,3898,5070,6014,6701,7088,7163,6924,6364,5526,
4438,3142,1695,167,-1383,-2887,-4284,-5507,-6507,-7242,-7687,-7819,-7628,-7135,-6353,-5320,-4068,-2666,-1166,367,
1866,3278,4541,5604,6424,6966,7206,7130,6741,6058,5103,3918,2560,1071,-475,-2024,-3496,-4826,-5961,-6850,
-7458,-7757,-7737,-7408,-6776,-5868,-4724,-3401,-1943,-420,1105,2569,3922,5099,6065,6768,7191,7297,7092,6580,
5775,4720,3457,2028,500,-1067,-2601,-4032,-5298,-6338,-7106,-7571,-7732,-7568,-7102,-6350,-5352,-4139,-2755,-1269,
255,1762,3184,4462,5547,6390,6967,7249,7219,6879,6232,5307,4140,2779,1294,-261,-1817,-3301,-4652,-5819,
-6746,-7397,-7737,-7752,-7459,-6857,-5975,-4863,-3561,-2125,-608,926,2411,3789,5001,5990,6722,7160,7294,7119,
6642,5872,4851,3610,2199,681,-875,-2402,-3831,-5098,-6144,-6934,-7424,-7602,-7468,-7018,-6278,-5287,-4083,-2711,
-1242,272,1773,3201,4507,5627,6522,7152,7482,7500,7200,6590,5707,4583,3264,1813,288,-1249,-2730,-4094,
-5268,-6217,-6890,-7262,-7318,-7058,-6497,-5656,-4566,-3276,-1850,-335,1196,2684,4067,5289,6303,7063,7544,7717,
7576,7113,6359,5338,4102,2706,1201,-343,-1862,-3293,-4576,-5654,-6480,-7028,-7260,-7183,-6791,-6112,-5165,-3999,
-2659,-1198,324,1832,3281,4593,5731,6634,7264,7600,7620,7326,6729,5846,4724,3397,1930,392,-1158,-2657,
-4035,-5241,-6226,-6944,-7371,-7480,-7273,-6755,-5950,-4894,-3641,-2233,-736,791,2287,3686,4930,5978,6768,7271,
7466,7347,6920,6197,5203,3993,2603,1099,-457,-2000,-3460,-4778,-5892,-6761,-7346,-7627,-7589,-7231,-6570,-5630,
-4463,-3103,-1623,-86,1444,2909,4255,5428,6365,7042,7420,7477,7222,6652,5804,4719,3426,1987,471,-1075,
-2583,-3981,-5208,-6210,-6943,-7387,-7506,-7315,-6817,-6035,-5002,-3760,-2356,-859,677,2180,3592,4848,5902,6711,
7243,7475,7397,7009,6325,5367,4176,2808,1314,-238,-1774,-3236,-4556,-5680,-6561,-7158,-7449,-7426,-7090,-6455,
-5551,-4420,-3101,-1661,-147,1376,2847,4206,5389,6352,7054,7472,7582,7378,6861,6060,4994,3714,2275,743,
-810,-2314,-3717,-4948,-5969,-6739,-7220,-7398,-7246,-6781,-6028,-5005,-3768,-2381,-895,630,2123,3540,4814,5895,
6736,7301,7563,7517,7160,6510,5586,4431,3087,1613,69,-1472,-2950,-4292,-5444,-6360,-6995,-7335,-7361,-7077,
-6488,-5624,-4516,-3221,-1784,-273,1244,2711,4067,5252,6229,6946,7383,7506,7317,6812,6018,4971,3720,2307,
791,-756,-2277,-3710,-4989,-6056,-6859,-7371,-7566,-7437,-7004,-6284,-5306,-4113,-2755,-1280,241,1760,3200,4503,
5613,6483,7081,7378,7356,7029,6394,5487,4338,3000,1534,1,-1534,-3004,-4353,-5514,-6444,-7107,-7469,-7509,
-7243,-6674,-5834,-4754,-3479,-2069,-562,974,2466,3860,5090,6097,6845,7299,7446,7275,6814,6062,5067,3848,
2467,975,-558,-2070,-3496,-4781,-5854,-6685,-7225,-7459,-7372,-6970,-6267,-5307,-4118,-2762,-1294,229,1744,3189,
4510,5644,6549,7189,7533,7562,7279,6688,5821,4707,3398,1948,421,-1117,-2599,-3963,-5146,-6102,-6794,-7190,
-7276,-7052,-6526,-5718,-4666,-3410,-2006,-508,1014,2502,3891,5124,6157,6936,7433,7633,7514,7082,6356,5362,
4150,2768,1268,-281,-1814,-3276,-4596,-5723,-6592,-7178,-7456,-7413,-7057,-6406,-5491,-4356,-3035,-1592,-83,1428,
2875,4194,5327,6230,6866,7217,7261,6998,6433,5581,4480,3167,1706,160,-1400,-2913,-4308,-5538,-6541,-7284,
-7736,-7874,-7688,-7195,-6418,-5385,-4153,-2760,-1281,235,1736,3137,4394,5444,6243,6761,6973,6876,6469,5765,
4794,3593,2210,706,-852,-2394,-3854,-5170,-6293,-7169,-7777,-8081,-8077,-7754,-7128,-6224,-5094,-3769,-2318,-797,
720,2190,3539,4725,5687,6393,6808,6914,6704,6186,5386,4332,3067,1647,131,-1412,-2915,-4315,-5540,-6535,
-7268,-7707,-7835,-7655,-7168,-6401,-5375,-4133,-2723,-1216,334,1855,3288,4566,5651,6498,7072,7352,7330,6992,
6350,5433,4281,2942,1477,-54,-1579,-3041,-4369,-5513,-6425,-7049,-7367,-7369,-7054,-6432,-5540,-4417,-3112,-1671,
-156,1365,2840,4201,5392,6365,7078,7509,7631,7447,6948,6167,5127,3867,2447,922,-632,-2154,-3577,-4835,
-5876,-6667,-7169,-7363,-7241,-6810,-6089,-5107,-3909,-2556,-1091,411,1904,3318,4598,5695,6561,7153,7445,7416,
7079,6442,5525,4371,3030,1553,9,-1543,-3029,-4390,-5567,-6508,-7174,-7541,-7593,-7334,-6766,-5926,-4847,-3569,
-2149,-647,873,2349,3718,4930,5925,6668,7126,7280,7121,6654,5896,4878,3648,2248,743,-799,-2322,-3752,
-5031,-6104,-6919,-7449,-7666,-7562,-7148,-6443,-5473,-4284,-2920,-1445,85,1610,3060,4385,5522,6431,7071,7415,
7445,7164,6580,5715,4603,3299,1852,332,-1203,-2675,-4027,-5195,-6135,-6805,-7166,-7208,-6954,-6387,-5550,-4478,
-3214,-1804,-304,1227,2717,4119,5365,6405,7194,7695,7894,7788,7368,6659,5684,4489,3119,1627,91,-1423,
-2854,-4142,-5227,-6073,-6641,-6910,-6862,-6496,-5835,-4904,-3743,-2407,-955,552,2049,3480,4799,5931,6843,7491,
7848,7889,7617,7041,6185,5083,3781,2334,799,-748,-2256,-3647,-4866,-5865,-6600,-7043,-7183,-7009,-6533,-5764,
-4745,-3513,-2130,-644,865,2341,3718,4949,5981,6774,7288,7508,7410,6999,6284,5303,4094,2708,1205,-347,
-1890,-3353,-4675,-5805,-6691,-7296,-7600,-7596,-7282,-6677,-5802,-4698,-3401,-1968,-464,1051,2517,3856,5022,5959,
6640,7039,7130,6912,6399,5593,4531,3258,1834,314,-1225,-2727,-4114,-5339,-6351,-7105,-7565,-7718,-7547,-7070,
-6295,-5265,-4018,-2614,-1117,426,1945,3373,4657,5742,6585,7147,7405,7354,6998,6342,5426,4279,2947,1496,
-24,-1541,-2987,-4308,-5443,-6337,-6961,-7276,-7284,-6972,-6357,-5469,-4344,-3033,-1590,-78,1443,2920,4283,5482,
6463,7184,7612,7729,7533,7031,6250,5220,3982,2583,1084,-454,-1964,-3387,-4644,-5690,-6475,-6971,-7156,-7031,
-6588,-5866,-4880,-3680,-2313,-846,670,2167,3586,4865,5958,6820,7408,7694,7670,7324,6674,5742,4577,3229,
1750,207,-1339,-2821,-4180,-5359,-6302,-6971,-7330,-7384,-7113,-6537,-5693,-4612,-3344,-1932,-437,1073,2540,3909,
5103,6092,6818,7265,7409,7248,6783,6032,5026,3795,2393,883,-666,-2185,-3611,-4876,-5935,-6743,-7268,-7483,
-7378,-6962,-6255,-5284,-4098,-2747,-1289,222,1727,3164,4475,5609,6515,7147,7483,7505,7216,6629,5765,4660,
3360,1917,396,-1142,-2627,-3980,-5156,-6099,-6771,-7151,-7217,-6970,-6418,-5584,-4502,-3223,-1797,-292,1238,2727,
4127,5376,6420,7221,7739,7945,7828,7397,6666,5677,4469,3094,1615,88,-1421,-2853,-4138,-5220,-6057,-6616,
-6864,-6794,-6416,-5745,-4812,-3655,-2317,-862,652,2164,3608,4923,6050,6957,7591,7933,7951,7668,7078,6220,
5119,3822,2391,872,-672,-2174,-3574,-4805,-5816,-6559,-6998,-7119,-6929,-6425,-5647,-4617,-3384,-2005,-525,992,
2468,3851,5085,6111,6886,7380,7575,7460,7039,6321,5343,4139,2763,1263,-283,-1817,-3276,-4596,-5722,-6610,
-7219,-7529,-7519,-7191,-6563,-5667,-4536,-3231,-1801,-313,1174,2604,3921,5061,5986,6650,7029,7101,6862,6322,
5502,4435,3157,1728,205,-1346,-2858,-4261,-5497,-6512,-7265,-7725,-7878,-7713,-7241,-6481,-5462,-4236,-2853,-1370,
140,1630,3029,4290,5369,6208,6775,7041,6990,6618,5944,4997,3825,2474,1003,-520,-2047,-3504,-4833,-5968,
-6861,-7479,-7791,-7785,-7469,-6858,-5976,-4860,-3556,-2117,-599,926,2399,3754,4942,5910,6617,7042,7156,6951,
6441,5633,4573,3298,1874,358,-1181,-2681,-4078,-5317,-6349,-7131,-7632,-7823,-7696,-7262,-6536,-5547,-4346,-2986,
-1523,-11,1484,2900,4183,5275,6131,6708,6984,6947,6600,5948,5025,3867,2520,1039,-508,-2051,-3522,-4866,
-6024,-6944,-7602,-7961,-8014,-7745,-7171,-6314,-5222,-3932,-2510,-1015,491,1959,3319,4528,5522,6268,6720,6860,
6689,6209,5446,4427,3194,1798,296,-1245,-2764,-4187,-5455,-6509,-7314,-7832,-8050,-7956,-7549,-6850,-5887,-4695,
-3335,-1859,-337,1170,2609,3911,5031,5925,6556,6890,6914,6619,6020,5143,4023,2718,1273,-246,-1761,-3224,
-4561,-5726,-6659,-7326,-7690,-7749,-7490,-6931,-6101,-5027,-3756,-2345,-843,681,2170,3563,4797,5828,6611,7114,
7319,7209,6788,6078,5097,3890,2511,1024,-501,-2004,-3422,-4691,-5766,-6596,-7152,-7401,-7333,-6950,-6272,-5323,
-4158,-2816,-1362,151,1666,3119,4443,5587,6503,7143,7487,7518,7246,6671,5820,4734,3444,2010,489,-1056,
-2555,-3944,-5163,-6155,-6881,-7311,-7426,-7226,-6721,-5931,-4894,-3654,-2261,-777,740,2221,3619,4866,5909,6704,
7220,7426,7318,6904,6195,5229,4037,2668,1183,-362,-1894,-3355,-4672,-5784,-6644,-7216,-7489,-7452,-7105,-6472,
-5576,-4450,-3145,-1712,-214,1287,2725,4050,5200,6137,6819,7212,7294,7061,6511,5674,4586,3294,1862,345,
-1193,-2687,-4075,-5299,-6307,-7054,-7503,-7639,-7456,-6965,-6195,-5173,-3947,-2564,-1073,460,1967,3395,4674,5746,
6572,7117,7364,7302,6930,6271,5345,4187,2841,1365,-164,-1686,-3136,-4445,-5561,-6438,-7041,-7345,-7338,-7013,
-6394,-5508,-4380,-3078,-1642,-145,1368,2831,4181,5367,6336,7044,7467,7575,7372,6868,6076,5031,3779,2365,
860,-682,-2186,-3587,-4823,-5845,-6609,-7087,-7263,-7133,-6697,-5971,-4985,-3785,-2417,-940,571,2066,3478,4751,
5839,6695,7277,7570,7546,7206,6558,5633,4470,3120,1638,98,-1443,-2917,-4268,-5434,-6365,-7021,-7377,-7412,
-7137,-6559,-5714,-4630,-3353,-1939,-443,1065,2535,3895,5088,6066,6794,7230,7363,7187,6707,5931,4905,3660,
2259,760,-779,-2284,-3700,-4965,-6018,-6827,-7345,-7549,-7440,-7023,-6314,-5359,-4187,-2848,-1395,115,1623,3059,
4365,5484,6366,6972,7284,7288,6980,6373,5497,4380,3072,1622,96,-1436,-2908,-4252,-5417,-6346,-7009,-7379,
-7441,-7191,-6644,-5820,-4755,-3479,-2060,-552,977,2466,3859,5088,6105,6875,7361,7542,7410,6975,6249,5266,
4056,2683,1197,-336,-1853,-3283,-4561,-5635,-6463,-7002,-7235,-7153,-6759,-6073,-5130,-3955,-2616,-1159,349,1848,
3278,4587,5718,6631,7281,7646,7701,7437,6865,6011,4910,3615,2178,665,-858,-2336,-3699,-4894,-5867,-6576,
-6991,-7100,-6887,-6370,-5575,-4533,-3289,-1897,-407,1110,2597,3995,5236,6279,7068,7586,7797,7688,7279,6571,
5594,4394,3012,1522,-17,-1541,-2984,-4282,-5394,-6255,-6846,-7132,-7103,-6765,-6131,-5227,-4095,-2781,-1346,152,
1658,3102,4424,5572,6495,7159,7523,7582,7332,6779,5934,4846,3547,2099,558,-998,-2513,-3913,-5143,-6145,
-6887,-7341,-7485,-7323,-6851,-6096,-5090,-3879,-2508,-1036,466,1941,3334,4583,5632,6443,6971,7194,7115,6720,
6040,5097,3928,2581,1114,-417,-1946,-3416,-4752,-5898,-6804,-7435,-7756,-7763,-7452,-6849,-5974,-4860,-3566,-2142,
-646,859,2306,3643,4808,5758,6455,6861,6961,6746,6224,5414,4353,3088,1673,163,-1373,-2873,-4283,-5536,
-6577,-7361,-7853,-8027,-7888,-7431,-6691,-5693,-4489,-3124,-1649,-131,1359,2775,4038,5113,5953,6517,6794,6765,
6426,5792,4879,3729,2388,918,-611,-2141,-3604,-4942,-6098,-7026,-7683,-8043,-8080,-7800,-7217,-6364,-5269,-3996,
-2590,-1104,397,1864,3225,4428,5420,6152,6599,6732,6553,6070,5301,4275,3041,1645,146,-1386,-2884,-4292,
-5543,-6592,-7383,-7896,-8098,-7989,-7560,-6839,-5853,-4652,-3283,-1804,-287,1210,2628,3910,5007,5872,6473,6779,
6771,6453,5836,4945,3820,2507,1062,-448,-1970,-3436,-4786,-5953,-6894,-7567,-7948,-8009,-7759,-7210,-6385,-5313,
-4048,-2637,-1143,377,1852,3226,4440,5446,6207,6693,6872,6743,6303,5567,4573,3355,1979,492,-1036,-2545,
-3966,-5249,-6325,-7154,-7696,-7928,-7835,-7436,-6740,-5788,-4624,-3292,-1833,-319,1195,2646,3980,5127,6046,6693,
7040,7078,6809,6234,5392,4306,3027,1609,99,-1422,-2896,-4261,-5447,-6411,-7107,-7504,-7590,-7351,-6802,-5976,
-4901,-3629,-2213,-714,810,2297,3695,4936,5980,6782,7304,7528,7440,7049,6369,5427,4257,2920,1456,-60,
-1570,-2997,-4278,-5353,-6182,-6727,-6973,-6917,-6555,-5900,-4981,-3821,-2482,-1003,538,2080,3551,4900,6066,7010,
7691,8086,8173,7940,7408,6582,5516,4245,2830,1332,-185,-1661,-3034,-4252,-5246,-5982,-6425,-6553,-6360,-5863,
-5081,-4053,-2822,-1435,44,1556,3046,4440,5698,6753,7574,8122,8376,8315,7952,7286,6349,5178,3825,2356,
826,-697,-2146,-3461,-4585,-5474,-6091,-6401,-6397,-6082,-5466,-4581,-3469,-2176,-752,743,2251,3708,5050,6224,
7173,7860,8256,8346,8128,7607,6801,5748,4488,3071,1549,4,-1505,-2912,-4158,-5181,-5949,-6436,-6614,-6482,
-6040,-5313,-4331,-3136,-1782,-328,1174,2650,4054,5321,6398,7237,7799,8059,8002,7628,6966,6039,4883,3548,
2087,556,-982,-2464,-3818,-4982,-5915,-6568,-6917,-6956,-6677,-6107,-5260,-4177,-2902,-1495,-12,1483,2926,4260,
5432,6398,7124,7558,7694,7513,7023,6243,5207,3963,2559,1055,-490,-2010,-3441,-4722,-5796,-6605,-7113,-7310,
-7190,-6759,-6046,-5081,-3910,-2566,-1109,394,1893,3320,4606,5703,6563,7152,7450,7443,7124,6515,5625,4502,
3180,1724,197,-1333,-2808,-4157,-5321,-6261,-6935,-7311,-7379,-7136,-6591,-5767,-4700,-3445,-2044,-568,939,2412,
3780,4995,6010,6766,7241,7407,7258,6804,6055,5041,3823,2427,925,-620,-2145,-3580,-4860,-5938,-6764,-7305,
-7539,-7460,-7072,-6395,-5450,-4293,-2961,-1522,-29,1459,2878,4175,5293,6185,6814,7147,7168,6878,6285,5419,
4308,3002,1553,35,-1507,-2995,-4373,-5571,-6544,-7250,-7669,-7769,-7561,-7048,-6255,-5210,-3958,-2556,-1072,443,
1911,3280,4489,5498,6268,6760,6958,6852,6436,5732,4761,3566,2202,729,-798,-2307,-3737,-5027,-6129,-6987,
-7567,-7838,-7796,-7439,-6782,-5861,-4712,-3395,-1952,-441,1069,2520,3856,5014,5948,6613,6989,7055,6811,6262,
5440,4369,3096,1670,158,-1373,-2854,-4229,-5430,-6413,-7132,-7566,-7692,-7505,-7014,-6246,-5221,-3994,-2614,-1141,
369,1849,3244,4494,5547,6360,6897,7138,7069,6696,6035,5105,3951,2621,1167,-345,-1855,-3291,-4591,-5701,
-6576,-7167,-7459,-7434,-7103,-6476,-5578,-4457,-3154,-1720,-221,1290,2746,4089,5263,6220,6912,7315,7416,7201,
6691,5898,4859,3616,2213,712,-823,-2326,-3730,-4973,-5995,-6750,-7220,-7379,-7227,-6779,-6047,-5067,-3875,-2521,
-1061,439,1927,3333,4603,5677,6515,7080,7342,7287,6929,6263,5327,4161,2818,1355,-167,-1688,-3138,-4460,
-5602,-6518,-7163,-7510,-7546,-7268,-6689,-5836,-4747,-3472,-2064,-587,906,2350,3684,4857,5817,6516,6937,7055,
6869,6383,5610,4580,3345,1942,434,-1107,-2619,-4030,-5292,-6338,-7134,-7646,-7854,-7754,-7336,-6624,-5652,-4461,
-3104,-1641,-133,1356,2773,4061,5164,6040,6643,6951,6940,6613,5989,5096,3965,2649,1204,-315,-1837,-3307,
-4645,-5798,-6719,-7369,-7719,-7765,-7501,-6941,-6107,-5030,-3758,-2350,-852,668,2141,3511,4725,5734,6494,6966,
7139,6994,6545,5806,4808,3606,2239,764,-742,-2234,-3640,-4898,-5956,-6768,-7293,-7523,-7443,-7052,-6372,-5435,
-4274,-2933,-1468,53,1566,3015,4327,5451,6344,6970,7303,7329,7047,6467,5604,4504,3205,1764,250,-1271,
-2743,-4091,-5276,-6235,-6934,-7344,-7435,-7208,-6675,-5857,-4795,-3539,-2137,-650,859,2343,3728,4968,6003,6779,
7273,7457,7325,6886,6161,5185,3988,2624,1147,-381,-1902,-3336,-4627,-5721,-6565,-7128,-7393,-7350,-6997,-6347,
-5431,-4297,-2978,-1538,-33,1464,2903,4219,5364,6282,6944,7310,7373,7118,6565,5735,4659,3378,1956,442,
-1095,-2592,-3983,-5199,-6189,-6917,-7346,-7469,-7279,-6785,-6010,-4984,-3751,-2361,-882,637,2117,3510,4751,5794,
6594,7123,7347,7269,6880,6198,5245,4069,2720,1247,-277,-1795,-3233,-4534,-5645,-6511,-7099,-7386,-7364,-7033,
-6413,-5526,-4406,-3106,-1677,-175,1328,2778,4112,5275,6225,6918,7330,7444,7242,6737,5943,4890,3627,2207,
698,-832,-2324,-3707,-4926,-5932,-6679,-7145,-7303,-7148,-6686,-5946,-4945,-3740,-2372,-906,602,2095,3509,4773,
5852,6687,7244,7499,7442,7076,6416,5487,4331,2997,1535,13,-1503,-2952,-4266,-5395,-6291,-6913,-7246,-7268,
-6989,-6408,-5556,-4467,-3187,-1771,-280,1225,2677,4021,5202,6167,6874,7295,7417,7227,6726,5948,4921,3685,
2284,786,-751,-2262,-3678,-4939,-5983,-6765,-7266,-7458,-7340,-6922,-6225,-5275,-4108,-2768,-1313,196,1697,3119,
4406,5501,6362,6958,7262,7259,6947,6332,5441,4304,2977,1525,16,-1499,-2938,-4256,-5389,-6310,-6964,-7332,
-7384,-7133,-6568,-5730,-4652,-3379,-1973,-479,1033,2500,3868,5076,6069,6815,7271,7427,7273,6815,6067,5067,
3846,2466,974,-556,-2060,-3478,-4744,-5802,-6616,-7142,-7370,-7284,-6891,-6210,-5275,-4114,-2783,-1336,168,1673,
3110,4415,5539,6431,7050,7373,7383,7079,6480,5608,4492,3189,1748,237,-1284,-2755,-4108,-5286,-6243,-6936,
-7333,-7428,-7208,-6693,-5899,-4855,-3618,-2230,-749,761,2235,3606,4827,5845,6619,7110,7303,7184,6755,6029,
5045,3838,2467,988,-538,-2048,-3474,-4765,-5857,-6709,-7270,-7532,-7476,-7113,-6463,-5549,-4414,-3100,-1652,-146,
1359,2805,4121,5258,6169,6820,7183,7246,6994,6445,5605,4518,3225,1789,278,-1249,-2727,-4083,-5277,-6246,
-6957,-7378,-7487,-7282,-6779,-5987,-4963,-3736,-2354,-877,634,2126,3518,4768,5817,6615,7137,7353,7264,6870,
6180,5226,4046,2686,1212,-323,-1841,-3278,-4578,-5678,-6537,-7116,-7399,-7372,-7034,-6402,-5502,-4375,-3058,-1621,
-118,1385,2831,4159,5318,6257,6945,7344,7445,7232,6717,5922,4881,3630,2226,732,-785,-2271,-3648,-4867,
-5864,-6610,-7061,-7205,-7042,-6576,-5829,-4821,-3603,-2228,-754,762,2247,3645,4899,5960,6794,7351,7618,7576,
7219,6564,5636,4479,3146,1691,175,-1339,-2790,-4113,-5255,-6163,-6795,-7114,-7132,-6832,-6240,-5378,-4287,-3012,
-1598,-105,1396,2848,4188,5358,6309,7008,7429,7553,7366,6887,6120,5096,3859,2460,963,-560,-2050,-3440,
-4673,-5701,-6475,-6966,-7147,-7011,-6570,-5844,-4863,-3676,-2329,-890,606,2090,3507,4790,5890,6753,7344,7631,
7614,7287,6671,5784,4670,3375,1944,441,-1075,-2526,-3853,-5001,-5918,-6565,-6921,-6963,-6700,-6131,-5284,-4197,
-2917,-1497,-5,1504,2963,4322,5523,6523,7274,7747,7913,7765,7307,6559,5559,4346,2970,1498,-17,-1509,
-2922,-4187,-5244,-6052,-6575,-6787,-6686,-6278,-5579,-4627,-3452,-2109,-654,853,2348,3763,5047,6135,7005,7611,
7929,7948,7663,7082,6222,5118,3816,2379,862,-666,-2139,-3497,-4681,-5637,-6324,-6716,-6793,-6565,-6033,-5233,
-4192,-2961,-1586,-119,1383,2845,4216,5438,6451,7218,7703,7887,7759,7321,6594,5608,4397,3021,1529,-9,
-1530,-2970,-4264,-5358,-6203,-6769,-7032,-6983,-6624,-5972,-5058,-3921,-2605,-1169,324,1815,3243,4548,5668,6574,
7209,7556,7593,7316,6735,5877,4765,3459,2008,479,-1065,-2560,-3933,-5137,-6123,-6846,-7278,-7408,-7230,-6750,
-5990,-4977,-3762,-2395,-929,571,2046,3426,4659,5693,6486,6991,7198,7089,6671,5953,4974,3771,2395,897,
-651,-2189,-3653,-4975,-6106,-6985,-7584,-7879,-7855,-7520,-6891,-5997,-4874,-3572,-2143,-650,851,2296,3618,4768,
5694,6360,6738,6812,6577,6046,5236,4178,2916,1511,13,-1508,-3001,-4384,-5613,-6618,-7368,-7819,-7956,-7781,
-7305,-6545,-5549,-4349,-2991,-1535,-31,1455,2858,4126,5191,6020,6571,6829,6780,6426,5776,4860,3711,2382,
927,-587,-2096,-3536,-4847,-5974,-6866,-7483,-7800,-7804,-7492,-6879,-5998,-4887,-3598,-2177,-684,817,2277,3631,
4822,5794,6514,6938,7057,6865,6368,5591,4564,3325,1933,439,-1088,-2584,-3986,-5223,-6244,-7017,-7493,-7671,
-7537,-7102,-6385,-5418,-4234,-2892,-1438,65,1558,2973,4252,5340,6200,6783,7069,7048,6716,6091,5190,4055,
2736,1285,-235,-1754,-3212,-4543,-5690,-6605,-7250,-7597,-7639,-7368,-6806,-5971,-4903,-3641,-2235,-748,757,2225,
3585,4787,5778,6521,6983,7142,6986,6526,5778,4769,3548,2163,683,-830,-2320,-3720,-4971,-6021,-6822,-7344,
-7559,-7463,-7055,-6359,-5397,-4218,-2870,-1415,100,1602,3032,4327,5439,6317,6930,7250,7267,6982,6405,5549,
4457,3169,1743,239,-1279,-2733,-4061,-5213,-6131,-6784,-7149,-7206,-6961,-6422,-5603,-4545,-3286,-1885,-392,1120,
2595,3977,5212,6240,7032,7548,7763,7661,7249,6544,5581,4401,3057,1604,107,-1376,-2766,-4025,-5082,-5896,
-6434,-6670,-6601,-6228,-5566,-4641,-3490,-2156,-704,812,2326,3770,5088,6223,7137,7785,8143,8196,7940,7379,
6541,5454,4174,2753,1246,-274,-1744,-3103,-4298,-5272,-5987,-6415,-6534,-6345,-5849,-5079,-4065,-2847,-1478,-12,
1494,2965,4349,5581,6610,7389,7882,8083,7976,7564,6865,5901,4705,3325,1820,266,-1278,-2742,-4061,-5184,
-6065,-6670,-6986,-6985,-6674,-6069,-5194,-4085,-2804,-1397,75,1550,2971,4279,5411,6333,6991,7363,7426,7181,
6638,5813,4739,3466,2036,521,-1027,-2529,-3925,-5150,-6161,-6907,-7365,-7517,-7366,-6911,-6176,-5189,-3999,-2640,
-1181,321,1800,3198,4454,5519,6338,6889,7138,7068,6689,6010,5063,3896,2558,1101,-406,-1912,-3347,-4660,
-5788,-6674,-7286,-7596,-7586,-7267,-6649,-5774,-4668,-3381,-1961,-467,1039,2492,3841,5017,5977,6684,7111,7230,
7044,6556,5780,4752,3517,2122,634,-884,-2372,-3763,-5003,-6033,-6817,-7311,-7493,-7360,-6920,-6183,-5197,-3999,
-2645,-1189,313,1801,3210,4484,5566,6421,6999,7281,7257,6926,6293,5392,4259,2941,1492,-21,-1539,-2989,
-4320,-5467,-6386,-7032,-7391,-7440,-7172,-6602,-5762,-4690,-3419,-2020,-539,960,2415,3777,4975,5963,6694,7141,
7286,7111,6634,5874,4858,3631,2242,742,-792,-2308,-3729,-5001,-6055,-6863,-7380,-7594,-7496,-7101,-6417,-5479,
-4320,-2999,-1564,-77,1397,2797,4074,5166,6047,6654,6977,6994,6690,6093,5216,4105,2811,1381,-120,-1634,
-3093,-4440,-5614,-6555,-7229,-7605,-7669,-7420,-6874,-6058,-5003,-3752,-2352,-867,645,2127,3503,4730,5747,6512,
7005,7195,7078,6655,5942,4971,3781,2426,964,-541,-2025,-3423,-4673,-5730,-6545,-7084,-7320,-7244,-6861,-6186,
-5242,-4081,-2744,-1289,226,1736,3184,4503,5647,6563,7215,7571,7624,7366,6809,5975,4906,3633,2224,731,
-779,-2236,-3578,-4752,-5703,-6398,-6808,-6919,-6720,-6214,-5427,-4388,-3143,-1752,-276,1220,2674,4042,5250,6275,
7060,7576,7793,7701,7298,6603,5651,4473,3123,1660,133,-1386,-2828,-4134,-5240,-6102,-6689,-6976,-6967,-6653,
-6051,-5183,-4082,-2789,-1376,109,1592,3015,4315,5441,6348,6997,7363,7424,7177,6630,5809,4737,3473,2060,
551,-979,-2473,-3863,-5093,-6106,-6851,-7306,-7456,-7295,-6830,-6088,-5088,-3890,-2524,-1055,449,1926,3319,4557,
5599,6399,6933,7176,7117,6754,6104,5184,4032,2691,1222,-306,-1824,-3272,-4585,-5709,-6597,-7216,-7540,-7555,
-7259,-6659,-5794,-4692,-3414,-2006,-530,957,2399,3738,4913,5880,6587,7007,7120,6923,6423,5639,4602,3364,
1958,461,-1071,-2568,-3960,-5192,-6215,-6976,-7449,-7622,-7475,-7021,-6277,-5281,-4084,-2723,-1267,225,1697,3090,
4352,5425,6265,6833,7101,7062,6714,6070,5164,4034,2720,1280,-225,-1740,-3193,-4526,-5674,-6592,-7240,-7595,
-7635,-7368,-6809,-5983,-4920,-3669,-2278,-807,692,2143,3493,4680,5658,6385,6834,6977,6818,6346,5587,4567,
3331,1929,434,-1097,-2594,-3997,-5251,-6299,-7106,-7628,-7843,-7750,-7347,-6651,-5696,-4531,-3197,-1752,-253,1230,
2642,3929,5017,5876,6466,6767,6763,6463,5867,5008,3907,2618,1183,-322,-1834,-3292,-4632,-5794,-6734,-7409,
-7795,-7873,-7632,-7086,-6258,-5189,-3926,-2524,-1045,452,1913,3284,4497,5510,6283,6772,6967,6848,6426,5718,
4747,3558,2203,736,-772,-2260,-3658,-4908,-5953,-6756,-7278,-7498,-7411,-7026,-6350,-5412,-4248,-2917,-1458,57,
1562,3005,4319,5456,6377,7035,7408,7475,7234,6684,5850,4772,3503,2093,603,-896,-2349,-3689,-4867,-5822,
-6506,-6900,-6986,-6756,-6231,-5429,-4392,-3156,-1771,-294,1211,2693,4080,5316,6348,7136,7645,7856,7757,7356,
6662,5711,4538,3199,1744,238,-1252,-2667,-3944,-5034,-5889,-6473,-6761,-6738,-6410,-5782,-4886,-3769,-2472,-1053,
427,1915,3337,4646,5785,6702,7359,7729,7795,7557,7014,6197,5132,3871,2464,972,-543,-2004,-3368,-4569,
-5558,-6300,-6760,-6914,-6759,-6294,-5541,-4533,-3320,-1946,-480,1019,2489,3876,5120,6163,6966,7500,7733,7661,
7282,6616,5692,4546,3219,1772,258,-1249,-2694,-4005,-5125,-6010,-6620,-6928,-6930,-6629,-6039,-5183,-4095,-2819,
-1415,69,1561,3003,4329,5487,6432,7128,7537,7650,7459,6962,6181,5146,3907,2516,1028,-492,-1972,-3359,
-4585,-5604,-6361,-6835,-7003,-6867,-6424,-5707,-4740,-3565,-2220,-759,749,2244,3667,4938,6012,6848,7408,7677,
7645,7306,6680,5779,4649,3330,1883,367,-1141,-2590,-3910,-5050,-5956,-6603,-6954,-6992,-6721,-6157,-5319,-4245,
-2982,-1582,-109,1388,2838,4180,5365,6337,7055,7490,7620,7443,6967,6207,5195,3978,2602,1122,-404,-1904,
-3316,-4577,-5631,-6430,-6941,-7142,-7034,-6623,-5928,-4980,-3822,-2500,-1067,416,1885,3287,4559,5649,6504,7099,
7394,7381,7059,6440,5549,4430,3114,1672,158,-1363,-2829,-4180,-5349,-6293,-6966,-7347,-7415,-7184,-6650,-5843,
-4801,-3564,-2182,-720,772,2220,3566,4756,5743,6481,6946,7109,6973,6530,5802,4816,3619,2254,789,-733,
-2227,-3648,-4919,-5990,-6817,-7357,-7591,-7518,-7137,-6469,-5543,-4396,-3083,-1655,-159,1325,2742,4037,5150,6045,
6673,7020,7066,6802,6239,5398,4316,3033,1610,111,-1397,-2856,-4199,-5367,-6323,-7014,-7419,-7514,-7299,-6784,
-5996,-4966,-3746,-2383,-933,549,2005,3382,4613,5657,6458,6978,7195,7090,6680,5982,5026,3855,2521,1068,
-438,-1931,-3350,-4628,-5713,-6558,-7118,-7384,-7336,-6995,-6361,-5464,-4339,-3040,-1607,-116,1379,2807,4116,5248,
6162,6818,7189,7260,7018,6474,5651,4579,3311,1891,395,-1126,-2602,-3975,-5189,-6184,-6916,-7366,-7503,-7326,
-6854,-6100,-5104,-3898,-2532,-1072,431,1913,3303,4550,5595,6402,6933,7179,7109,6741,6077,5151,3987,2647,
1186,-328,-1836,-3260,-4552,-5654,-6522,-7118,-7421,-7413,-7106,-6501,-5630,-4532,-3252,-1845,-371,1111,2535,3841,
4997,5933,6625,7035,7153,6966,6475,5701,4674,3435,2037,540,-982,-2467,-3850,-5073,-6074,-6826,-7295,-7466,
-7327,-6887,-6161,-5186,-3990,-2634,-1172,331,1814,3219,4489,5568,6413,6988,7265,7229,6884,6252,5350,4218,
2909,1475,-28,-1536,-2981,-4300,-5426,-6320,-6942,-7264,-7282,-6995,-6416,-5564,-4480,-3200,-1791,-303,1195,2645,
3982,5164,6137,6865,7309,7461,7298,6828,6072,5056,3837,2464,990,-513,-1988,-3371,-4601,-5631,-6407,-6901,
-7093,-6981,-6563,-5869,-4920,-3758,-2429,-983,510,2001,3413,4689,5785,6645,7237,7537,7533,7220,6614,5737,
4627,3323,1888,389,-1123,-2577,-3910,-5073,-6012,-6684,-7060,-7124,-6870,-6325,-5494,-4431,-3177,-1783,-310,1185,
2644,3996,5188,6175,6903,7352,7494,7342,6898,6170,5195,4010,2654,1187,-334,-1836,-3254,-4527,-5599,-6420,
-6966,-7208,-7148,-6782,-6127,-5207,-4070,-2750,-1317,170,1647,3058,4343,5450,6332,6959,7292,7323,7043,6460,
5601,4509,3219,1794,285,-1236,-2700,-4053,-5229,-6176,-6860,-7261,-7359,-7154,-6659,-5887,-4871,-3645,-2271,-800,
709,2177,3550,4764,5777,6548,7043,7235,7127,6711,6013,5048,3869,2526,1067,-444,-1936,-3355,-4636,-5722,
-6571,-7139,-7406,-7367,-7015,-6373,-5463,-4332,-3030,-1605,-119,1359,2775,4071,5196,6100,6752,7123,7199,6963,
6425,5612,4544,3275,1857,353,-1170,-2646,-4019,-5216,-6201,-6928,-7366,-7502,-7327,-6850,-6104,-5109,-3912,-2560,
-1113,378,1855,3252,4506,5566,6375,6905,7137,7049,6667,5991,5057,3906,2584,1139,-355,-1857,-3281,-4574,
-5684,-6559,-7165,-7479,-7485,-7178,-6574,-5696,-4587,-3294,-1867,-388,1100,2529,3846,4998,5940,6619,7016,7108,
6884,6361,5559,4514,3269,1876,399,-1106,-2576,-3954,-5173,-6182,-6941,-7416,-7584,-7444,-7001,-6275,-5302,-4117,
-2768,-1320,171,1648,3039,4294,5360,6192,6758,7026,6986,6647,6010,5106,3974,2669,1247,-240,-1719,-3138,
-4435,-5558,-6456,-7089,-7430,-7464,-7189,-6615,-5769,-4686,-3416,-2008,-520,989,2442,3791,4973,5939,6655,7085,
7221,7053,6579,5823,4817,3598,2221,747,-751,-2223,-3597,-4824,-5844,-6626,-7125,-7324,-7204,-6774,-6052,-5073,
-3876,-2520,-1056,445,1931,3343,4621,5708,6569,7162,7466,7466,7165,6577,5722,4637,3363,1951,463,-1035,
-2485,-3806,-4949,-5864,-6512,-6865,-6914,-6658,-6113,-5293,-4229,-2973,-1575,-89,1414,2872,4220,5413,6404,7155,
7631,7815,7688,7257,6529,5546,4344,2978,1503,-10,-1507,-2912,-4176,-5235,-6051,-6579,-6808,-6722,-6329,-5649,
-4715,-3567,-2247,-810,673,2154,3559,4838,5933,6799,7406,7730,7746,7456,6873,6010,4910,3610,2179,670,
-848,-2316,-3662,-4835,-5786,-6477,-6879,-6974,-6754,-6242,-5452,-4424,-3200,-1836,-385,1097,2553,3912,5135,6153,
6929,7415,7603,7475,7046,6324,5344,4147,2787,1317,-202,-1697,-3110,-4382,-5454,-6289,-6854,-7124,-7094,-6755,
-6127,-5234,-4115,-2818,-1397,81,1558,2976,4274,5402,6304,6956,7309,7357,7102,6545,5717,4652,3392,1999,
517,-988,-2457,-3816,-5020,-6003,-6730,-7165,-7295,-7111,-6633,-5875,-4869,-3657,-2295,-834,662,2130,3507,4735,
5769,6562,7083,7311,7240,6864,6205,5280,4133,2813,1371,-122,-1610,-3029,-4314,-5415,-6283,-6876,-7173,-7160,
-6839,-6230,-5355,-4258,-2985,-1579,-100,1381,2820,4147,5305,6245,6929,7328,7426,7212,6698,5907,4865,3624,
2234,753,-747,-2212,-3579,-4788,-5796,-6549,-7027,-7200,-7056,-6609,-5876,-4887,-3692,-2343,-898,594,2060,3448,
4686,5738,6546,7087,7329,7266,6912,6277,5372,4246,2931,1481,-41,-1571,-3030,-4354,-5487,-6379,-6993,-7320,
-7343,-7066,-6499,-5665,-4599,-3345,-1951,-482,1001,2435,3763,4933,5894,6595,7013,7121,6917,6410,5619,4585,
3349,1960,482,-1033,-2521,-3920,-5166,-6207,-6994,-7492,-7679,-7554,-7123,-6411,-5451,-4286,-2963,-1541,-69,1388,
2769,4039,5131,5999,6605,6919,6924,6618,6011,5138,4021,2727,1305,-189,-1691,-3134,-4463,-5612,-6534,-7188,
-7545,-7599,-7348,-6798,-5978,-4922,-3676,-2283,-801,706,2172,3540,4747,5749,6497,6966,7140,7010,6570,5848,
4866,3666,2300,830,-674,-2148,-3536,-4771,-5803,-6596,-7113,-7330,-7237,-6839,-6155,-5214,-4052,-2724,-1284,207,
1687,3109,4405,5521,6419,7048,7388,7415,7137,6556,5710,4620,3350,1941,448,-1052,-2507,-3847,-5010,-5957,
-6639,-7036,-7132,-6925,-6424,-5646,-4619,-3400,-2028,-563,923,2376,3730,4938,5947,6714,7204,7388,7262,6832,
6109,5136,3952,2606,1148,-351,-1844,-3261,-4548,-5640,-6489,-7056,-7324,-7278,-6924,-6279,-5384,-4270,-2981,-1572,
-107,1365,2778,4069,5177,6066,6697,7045,7092,6837,6291,5466,4402,3135,1725,236,-1283,-2756,-4118,-5322,
-6311,-7046,-7498,-7639,-7471,-7003,-6251,-5256,-4059,-2712,-1268,210,1664,3027,4248,5274,6062,6570,6782,6694,
6305,5626,4690,3532,2197,740,-765,-2263,-3678,-4964,-6052,-6909,-7496,-7793,-7786,-7472,-6863,-5988,-4881,-3593,
-2180,-696,788,2220,3545,4703,5642,6333,6731,6825,6607,6086,5291,4254,3016,1639,164,-1333,-2795,-4158,
-5356,-6342,-7076,-7524,-7675,-7520,-7071,-6346,-5362,-4170,-2820,-1364,131,1600,2982,4224,5278,6098,6652,6919,
6886,6547,5919,5014,3885,2581,1153,-337,-1823,-3247,-4554,-5676,-6570,-7193,-7517,-7528,-7228,-6631,-5769,-4683,
-3416,-2017,-546,933,2374,3706,4878,5842,6555,6990,7122,6944,6467,5708,4694,3480,2111,649,-845,-2317,
-3701,-4933,-5966,-6747,-7241,-7430,-7305,-6873,-6163,-5199,-4033,-2705,-1270,219,1694,3104,4377,5467,6322,6907,
7196,7182,6869,6263,5387,4287,2990,1565,65,-1435,-2881,-4192,-5325,-6225,-6858,-7204,-7244,-6983,-6426,-5597,
-4538,-3285,-1890,-423,1063,2506,3850,5039,6017,6753,7209,7364,7208,6751,6016,5041,3863,2531,1108,-356,
-1809,-3180,-4418,-5458,-6260,-6787,-7011,-6921,-6527,-5845,-4900,-3727,-2390,-944,555,2046,3454,4736,5838,6718,
7340,7670,7701,7425,6848,5994,4906,3628,2218,735,-762,-2206,-3539,-4705,-5649,-6326,-6712,-6793,-6569,-6049,
-5262,-4238,-3023,-1656,-194,1296,2762,4129,5342,6349,7109,7590,7782,7675,7269,6581,5630,4461,3118,1661,
160,-1318,-2718,-3974,-5032,-5862,-6418,-6676,-6622,-6265,-5622,-4724,-3605,-2320,-917,544,2017,3438,4745,5880,
6798,7451,7812,7863,7609,7060,6234,5161,3892,2477,983,-530,-1986,-3325,-4495,-5458,-6160,-6590,-6715,-6543,
-6067,-5311,-4305,-3101,-1750,-308,1163,2600,3944,5152,6171,6948,7458,7664,7565,7158,6465,5517,4352,3012,
1562,60,-1434,-2855,-4148,-5244,-6099,-6677,-6957,-6929,-6600,-5985,-5113,-4022,-2746,-1343,128,1607,3032,4338,
5472,6390,7054,7437,7518,7296,6776,5974,4921,3668,2270,783,-727,-2196,-3560,-4764,-5756,-6499,-6953,-7104,
-6950,-6497,-5760,-4787,-3612,-2285,-860,611,2063,3436,4679,5726,6538,7076,7313,7246,6872,6206,5286,4142,
2824,1390,-105,-1596,-3023,-4323,-5440,-6325,-6944,-7273,-7295,-7018,-6442,-5602,-4531,-3271,-1882,-419,1050,2479,
3795,4948,5894,6589,7003,7114,6919,6424,5657,4638,3416,2042,566,-943,-2421,-3809,-5034,-6055,-6827,-7315,
-7505,-7390,-6984,-6304,-5368,-4220,-2914,-1486,-10,1461,2857,4120,5196,6041,6609,6890,6865,6537,5921,5039,
3934,2646,1226,-261,-1750,-3179,-4479,-5605,-6501,-7128,-7473,-7517,-7260,-6713,-5894,-4843,-3597,-2198,-719,777,
2238,3588,4781,5755,6487,6937,7101,6952,6509,5778,4790,3590,2226,764,-731,-2202,-3580,-4807,-5836,-6621,
-7135,-7347,-7245,-6849,-6162,-5219,-4061,-2730,-1291,204,1694,3112,4399,5505,6380,6992,7315,7331,7052,6474,
5625,4539,3258,1844,353,-1140,-2574,-3894,-5044,-5966,-6638,-7017,-7090,-6858,-6321,-5505,-4460,-3220,-1848,-402,
1065,2484,3819,5010,6012,6779,7280,7483,7374,6959,6256,5296,4119,2775,1321,-183,-1670,-3083,-4347,-5415,
-6240,-6788,-7038,-6986,-6631,-5990,-5092,-3971,-2674,-1264,206,1673,3078,4362,5476,6373,7016,7371,7423,7167,
6615,5790,4726,3472,2086,604,-893,-2348,-3705,-4895,-5880,-6603,-7034,-7157,-6965,-6467,-5695,-4675,-3463,-2100,
-645,838,2288,3649,4862,5883,6662,7171,7390,7307,6920,6244,5301,4132,2784,1317,-201,-1700,-3126,-4410,
-5499,-6355,-6940,-7228,-7206,-6877,-6266,-5391,-4294,-3025,-1633,-175,1290,2708,4019,5168,6105,6781,7176,7262,
7043,6525,5733,4695,3460,2070,597,-906,-2376,-3737,-4938,-5928,-6661,-7109,-7252,-7087,-6615,-5864,-4861,-3655,
-2289,-838,649,2103,3468,4694,5727,6524,7062,7309,7254,6893,6242,5324,4187,2872,1439,-47,-1538,-2953,
-4246,-5360,-6241,-6856,-7181,-7198,-6907,-6321,-5470,-4382,-3110,-1714,-249,1224,2642,3947,5091,6028,6718,7134,
7248,7059,6568,5789,4759,3523,2138,666,-836,-2305,-3668,-4885,-5890,-6657,-7139,-7320,-7200,-6785,-6084,-5139,
-3981,-2664,-1241,240,1696,3081,4336,5400,6231,6793,7063,7026,6683,6048,5150,4024,2721,1292,-194,-1677,
-3101,-4406,-5531,-6435,-7079,-7433,-7481,-7223,-6664,-5842,-4790,-3549,-2179,-734,727,2155,3481,4653,5626,6357,
6800,6943,6775,6313,5565,4576,3382,2039,595,-887,-2361,-3747,-4988,-6034,-6832,-7346,-7559,-7466,-7082,-6413,
-5489,-4347,-3036,-1606,-120,1354,2757,4024,5117,5980,6582,6901,6916,6624,6036,5170,4076,2798,1389,-88,
-1572,-3006,-4326,-5486,-6416,-7082,-7456,-7524,-7283,-6749,-5947,-4913,-3680,-2302,-834,659,2116,3468,4666,5650,
6393,6864,7048,6924,6512,5813,4851,3668,2315,853,-644,-2123,-3502,-4741,-5781,-6585,-7116,-7354,-7287,-6917,
-6257,-5343,-4208,-2907,-1490,-12,1464,2876,4173,5300,6201,6839,7189,7237,6985,6439,5625,4576,3335,1950,
488,-996,-2427,-3749,-4913,-5855,-6550,-6959,-7074,-6883,-6397,-5627,-4621,-3405,-2039,-582,905,2366,3738,4962,
5984,6765,7268,7472,7370,6969,6285,5354,4198,2870,1427,-80,-1578,-3008,-4298,-5390,-6238,-6809,-7085,-7056,
-6732,-6126,-5261,-4171,-2900,-1511,-51,1409,2809,4093,5207,6107,6761,7130,7207,6983,6459,5661,4622,3386,
2004,527,-970,-2437,-3798,-5002,-5992,-6725,-7166,-7308,-7142,-6679,-5942,-4959,-3780,-2441,-1003,473,1928,3311,
4542,5588,6391,6922,7162,7096,6722,6070,5144,4001,2679,1237,-255,-1740,-3157,-4437,-5531,-6395,-6998,-7305,
-7302,-6993,-6401,-5544,-4461,-3200,-1808,-350,1128,2561,3886,5044,5992,6683,7086,7188,6993,6504,5744,4735,
3521,2157,698,-792,-2242,-3589,-4779,-5758,-6488,-6950,-7110,-6972,-6540,-5819,-4852,-3682,-2350,-916,561,2025,
3416,4681,5768,6616,7202,7486,7466,7137,6515,5632,4528,3236,1827,349,-1131,-2549,-3850,-4970,-5864,-6501,
-6845,-6886,-6623,-6063,-5237,-4171,-2911,-1516,-51,1435,2870,4200,5367,6326,7046,7487,7628,7467,7004,6254,
5253,4040,2682,1226,-263,-1717,-3084,-4313,-5349,-6142,-6664,-6879,-6785,-6382,-5696,-4760,-3612,-2308,-889,580,
2042,3436,4700,5780,6630,7211,7505,7500,7195,6598,5740,4648,3362,1939,451,-1043,-2485,-3812,-4962,-5902,
-6579,-6977,-7067,-6851,-6339,-5559,-4537,-3323,-1972,-536,927,2362,3717,4916,5917,6673,7149,7323,7183,6744,
6033,5063,3886,2545,1094,-396,-1874,-3266,-4512,-5565,-6371,-6907,-7153,-7092,-6734,-6083,-5174,-4039,-2736,-1311,
162,1630,3031,4311,5422,6315,6950,7301,7354,7095,6540,5717,4657,3416,2031,571,-905,-2345,-3684,-4858,
-5821,-6521,-6931,-7029,-6817,-6308,-5528,-4507,-3293,-1928,-482,995,2447,3809,5028,6048,6836,7353,7575,7486,
7097,6416,5474,4305,2971,1526,27,-1458,-2861,-4134,-5219,-6069,-6643,-6924,-6893,-6563,-5939,-5064,-3970,-2711,
-1334,104,1549,2943,4227,5353,6262,6922,7294,7375,7150,6630,5836,4801,3560,2167,683,-826,-2296,-3660,
-4865,-5847,-6578,-7024,-7177,-7024,-6576,-5857,-4892,-3717,-2386,-956,511,1959,3328,4559,5594,6402,6935,7180,
7115,6749,6092,5172,4025,2694,1243,-265,-1773,-3210,-4508,-5619,-6492,-7099,-7405,-7411,-7113,-6529,-5677,-4599,
-3345,-1960,-505,956,2368,3674,4820,5760,6448,6854,6964,6767,6269,5492,4470,3249,1883,425,-1061,-2517,
-3883,-5091,-6099,-6859,-7330,-7507,-7374,-6945,-6233,-5278,-4121,-2797,-1370,102,1567,2959,4216,5286,6122,6694,
6969,6941,6606,5991,5103,3991,2701,1281,-199,-1678,-3097,-4386,-5501,-6391,-7023,-7359,-7397,-7125,-6564,-5728,
-4664,-3413,-2027,-565,911,2350,3682,4858,5831,6559,7006,7159,7011,6566,5839,4861,3669,2313,848,-658,
-2136,-3522,-4761,-5797,-6582,-7091,-7303,-7209,-6814,-6138,-5205,-4060,-2744,-1323,147,1603,2988,4252,5329,6183,
6775,7079,7079,6776,6181,5321,4234,2960,1555,74,-1417,-2861,-4189,-5346,-6282,-6955,-7335,-7416,-7199,-6686,
-5911,-4892,-3677,-2314,-852,627,2074,3426,4616,5602,6348,6820,6995,6868,6446,5733,4765,3582,2229,773,
-725,-2208,-3607,-4861,-5922,-6743,-7286,-7534,-7479,-7123,-6484,-5590,-4475,-3188,-1783,-307,1161,2577,3869,4984,
5873,6502,6848,6892,6633,6081,5256,4194,2938,1538,65,-1421,-2863,-4196,-5357,-6312,-7005,-7413,-7518,-7315,
-6815,-6046,-5035,-3834,-2483,-1037,441,1904,3287,4519,5557,6351,6861,7072,6980,6591,5921,4994,3856,2542,
1111,-374,-1852,-3252,-4517,-5593,-6436,-7009,-7295,-7274,-6952,-6339,-5461,-4358,-3077,-1670,-203,1260,2669,3969,
5100,6021,6688,7078,7158,6929,6395,5583,4534,3286,1895,425,-1064,-2523,-3880,-5080,-6068,-6806,-7256,-7402,
-7242,-6784,-6046,-5064,-3870,-2517,-1069,416,1881,3256,4486,5523,6324,6865,7119,7070,6728,6096,5202,4077,
2786,1367,-114,-1597,-3016,-4313,-5426,-6311,-6924,-7240,-7243,-6941,-6345,-5487,-4403,-3140,-1751,-287,1188,2616,
3939,5097,6042,6736,7145,7259,7069,6583,5822,4814,3598,2226,754,-739,-2209,-3581,-4790,-5791,-6549,-7018,
-7195,-7070,-6644,-5937,-4986,-3819,-2499,-1073,396,1851,3235,4491,5560,6411,6992,7286,7266,6944,6332,5450,
4335,3045,1625,142,-1342,-2770,-4070,-5194,-6095,-6725,-7062,-7102,-6837,-6288,-5469,-4416,-3179,-1800,-337,1138,
2580,3917,5099,6076,6805,7253,7410,7257,6803,6070,5081,3884,2529,1067,-424,-1894,-3278,-4511,-5549,-6338,
-6846,-7062,-6966,-6573,-5893,-4964,-3822,-2509,-1081,392,1857,3253,4516,5595,6446,7035,7340,7347,7052,6469,
5615,4529,3253,1848,375,-1106,-2533,-3842,-4984,-5905,-6577,-6962,-7047,-6821,-6300,-5503,-4465,-3240,-1873,-423,
1047,2485,3828,5027,6022,6776,7253,7426,7299,6870,6158,5196,4025,2686,1234,-264,-1746,-3149,-4413,-5478,
-6304,-6856,-7111,-7061,-6705,-6058,-5149,-4018,-2715,-1301,166,1628,3023,4302,5406,6295,6930,7275,7316,7055,
6502,5680,4626,3379,1995,530,-958,-2406,-3751,-4926,-5885,-6588,-7006,-7123,-6934,-6448,-5694,-4696,-3494,-2144,
-692,791,2248,3622,4844,5873,6659,7168,7383,7297,6903,6229,5294,4146,2826,1394,-96,-1570,-2981,-4254,
-5344,-6195,-6779,-7066,-7050,-6728,-6117,-5242,-4149,-2877,-1479,-23,1445,2857,4158,5295,6214,6876,7251,7326,
7091,6560,5756,4708,3465,2075,600,-897,-2360,-3726,-4928,-5924,-6664,-7123,-7277,-7123,-6668,-5933,-4949,-3758,
-2412,-973,496,1948,3313,4538,5583,6385,6927,7171,7110,6754,6104,5192,4055,2738,1298,-197,-1692,-3112,
-4404,-5511,-6384,-6994,-7317,-7340,-7063,-6489,-5643,-4568,-3308,-1915,-457,1005,2419,3726,4877,5821,6519,6943,
7066,6877,6385,5613,4594,3376,2004,545,-953,-2419,-3802,-5030,-6051,-6822,-7308,-7487,-7361,-6935,-6237,-5290,
-4137,-2824,-1413,56,1508,2888,4137,5203,6045,6622,6912,6903,6589,5981,5107,3994,2699,1273,-217,-1710,
-3140,-4448,-5575,-6479,-7118,-7464,-7505,-7245,-6691,-5877,-4830,-3602,-2232,-780,698,2139,3482,4668,5648,6374,
6820,6972,6819,6370,5646,4668,3483,2131,673,-821,-2288,-3668,-4892,-5915,-6701,-7211,-7430,-7343,-6961,-6290,
-5361,-4212,-2898,-1466,14,1488,2891,4169,5264,6139,6752,7077,7100,6816,6235,5383,4292,3016,1601,116,
-1383,-2829,-4159,-5314,-6251,-6921,-7304,-7384,-7158,-6642,-5854,-4829,-3610,-2244,-789,689,2138,3482,4679,5671,
6426,6908,7103,6990,6577,5875,4917,3735,2387,930,-564,-2044,-3437,-4690,-5747,-6561,-7103,-7351,-7291,-6935,
-6291,-5392,-4272,-2976,-1561,-91,1381,2780,4056,5162,6050,6687,7042,7108,6870,6334,5521,4460,3201,1798,
316,-1182,-2631,-3964,-5138,-6093,-6798,-7214,-7333,-7145,-6664,-5898,-4894,-3686,-2332,-885,592,2042,3406,4629,
5654,6449,6970,7198,7121,6740,6070,5143,3991,2670,1235,-252,-1731,-3136,-4408,-5485,-6333,-6909,-7194,-7175,
-6851,-6239,-5362,-4262,-2976,-1572,-99,1377,2807,4122,5268,6197,6876,7264,7352,7131,6615,5822,4789,3557,
2181,711,-782,-2246,-3607,-4807,-5797,-6533,-6981,-7130,-6974,-6521,-5791,-4814,-3627,-2288,-839,644,2113,3496,
4739,5796,6616,7162,7414,7364,7007,6365,5462,4339,3044,1626,146,-1332,-2752,-4047,-5166,-6056,-6675,-7000,
-7018,-6728,-6149,-5302,-4229,-2972,-1579,-113,1367,2804,4129,5289,6234,6924,7338,7450,7264,6789,6033,5034,
3824,2457,991,-511,-1988,-3372,-4603,-5630,-6405,-6900,-7088,-6969,-6549,-5845,-4891,-3732,-2411,-988,481,1936,
3317,4564,5629,6463,7037,7321,7303,6981,6367,5483,4374,3072,1644,144,-1355,-2796,-4114,-5256,-6169,-6818,
-7180,-7240,-6995,-6455,-5645,-4600,-3362,-1989,-534,939,2367,3697,4873,5844,6571,7024,7176,7030,6582,5861,
4884,3703,2360,911,-583,-2057,-3450,-4698,-5746,-6548,-7072,-7294,-7214,-6826,-6153,-5219,-4066,-2746,-1317,163,
1625,3019,4289,5375,6248,6865,7197,7233,6962,6394,5551,4460,3184,1770,280,-1218,-2663,-3997,-5155,-6095,
-6779,-7171,-7261,-7042,-6523,-5739,-4710,-3490,-2129,-683,790,2231,3587,4792,5805,6570,7061,7255,7143,6730,
6035,5082,3916,2581,1140,-347,-1822,-3218,-4471,-5533,-6359,-6917,-7182,-7142,-6797,-6166,-5269,-4148,-2846,-1425,
47,1524,2934,4222,5338,6237,6874,7229,7280,7026,6479,5660,4599,3345,1944,462,-1042,-2499,-3851,-5034,
-6000,-6707,-7132,-7253,-7069,-6593,-5841,-4847,-3653,-2307,-872,596,2038,3387,4597,5615,6393,6906,7126,7040,
6656,5983,5051,3898,2580,1152,-330,-1798,-3195,-4464,-5548,-6403,-6991,-7291,-7285,-6976,-6376,-5512,-4417,-3143,
-1741,-265,1217,2638,3947,5085,6007,6677,7066,7158,6950,6441,5650,4610,3367,1973,492,-1005,-2464,-3820,
-5024,-6017,-6770,-7234,-7395,-7243,-6785,-6040,-5052,-3853,-2509,-1067,411,1869,3246,4492,5544,6367,6920,7184,
7145,6807,6185,5301,4188,2897,1479,-4,-1482,-2898,-4186,-5286,-6158,-6765,-7081,-7095,-6807,-6228,-5384,-4300,
-3034,-1633,-159,1322,2755,4078,5242,6198,6912,7348,7490,7324,6860,6112,5116,3909,2548,1084,-414,-1889,
-3270,-4498,-5519,-6291,-6777,-6967,-6844,-6424,-5725,-4776,-3616,-2298,-865,605,2069,3451,4704,5776,6614,7189,
7478,7461,7140,6529,5646,4535,3234,1804,310,-1188,-2632,-3949,-5091,-6004,-6653,-7016,-7073,-6818,-6275,-5462,
-4419,-3183,-1814,-368,1100,2530,3858,5037,6010,6738,7187,7342,7186,6732,5990,4993,3783,2413,944,-559,
-2038,-3425,-4668,-5713,-6519,-7053,-7292,-7224,-6852,-6190,-5273,-4137,-2834,-1416,52,1515,2912,4185,5282,6153,
6766,7086,7105,6824,6246,5398,4317,3045,1639,152,-1346,-2797,-4130,-5299,-6238,-6923,-7316,-7405,-7192,-6682,
-5900,-4883,-3668,-2312,-862,615,2064,3421,4632,5642,6411,6901,7093,6986,6574,5883,4938,3779,2457,1021,
-462,-1934,-3333,-4589,-5654,-6478,-7028,-7279,-7229,-6875,-6243,-5353,-4241,-2957,-1548,-70,1403,2825,4128,5258,
6167,6822,7192,7261,7023,6490,5678,4623,3373,1983,510,-973,-2415,-3753,-4929,-5902,-6617,-7051,-7183,-7003,
-6525,-5766,-4761,-3556,-2203,-757,725,2179,3548,4766,5789,6568,7077,7291,7205,6823,6163,5240,4097,2774,
1325,-183,-1690,-3121,-4410,-5507,-6364,-6950,-7245,-7239,-6935,-6344,-5490,-4411,-3149,-1755,-294,1175,2593,3898,
5035,5962,6625,7007,7081,6851,6326,5519,4475,3235,1845,368,-1134,-2605,-3978,-5189,-6196,-6950,-7417,-7580,
-7436,-6989,-6262,-5292,-4122,-2797,-1381,80,1516,2872,4109,5161,5988,6551,6823,6791,6451,5816,4920,3789,
2482,1055,-433,-1921,-3346,-4651,-5772,-6661,-7285,-7613,-7634,-7353,-6775,-5933,-4857,-3599,-2202,-728,762,2204,
3542,4715,5680,6393,6830,6970,6808,6342,5596,4598,3390,2026,565,-923,-2379,-3748,-4962,-5976,-6744,-7237,
-7425,-7306,-6883,-6172,-5212,-4036,-2702,-1262,222,1691,3093,4361,5446,6305,6897,7202,7197,6891,6292,5428,
4328,3054,1648,166,-1315,-2743,-4056,-5191,-6107,-6760,-7126,-7195,-6956,-6426,-5627,-4586,-3358,-1986,-529,945,
2385,3726,4914,5901,6639,7098,7251,7094,6640,5902,4918,3732,2387,937,-552,-2031,-3430,-4692,-5756,-6578,
-7113,-7352,-7280,-6905,-6243,-5330,-4201,-2903,-1489,-27,1435,2828,4096,5186,6054,6661,6984,7009,6728,6157,
5314,4237,2967,1564,86,-1410,-2860,-4200,-5374,-6332,-7032,-7445,-7551,-7347,-6851,-6081,-5071,-3866,-2516,-1071,
401,1848,3198,4401,5405,6168,6653,6842,6729,6316,5615,4661,3489,2147,694,-799,-2280,-3672,-4932,-5995,
-6825,-7384,-7652,-7614,-7275,-6639,-5745,-4625,-3330,-1916,-439,1035,2454,3759,4894,5807,6471,6843,6916,6683,
6154,5357,4321,3084,1711,244,-1242,-2690,-4032,-5210,-6172,-6880,-7301,-7422,-7238,-6759,-6005,-5001,-3795,-2438,
-984,500,1958,3325,4551,5584,6383,6910,7148,7086,6720,6070,5156,4018,2710,1284,-201,-1679,-3090,-4375,
-5470,-6335,-6928,-7221,-7210,-6891,-6284,-5413,-4318,-3044,-1645,-176,1297,2724,4036,5186,6124,6808,7212,7315,
7110,6609,5829,4803,3579,2209,750,-736,-2195,-3562,-4772,-5781,-6534,-7002,-7167,-7018,-6570,-5847,-4874,-3706,
-2379,-948,526,1985,3370,4617,5678,6500,7057,7316,7278,6939,6311,5418,4299,2994,1563,66,-1425,-2857,
-4151,-5268,-6151,-6769,-7095,-7114,-6832,-6256,-5411,-4339,-3082,-1689,-228,1247,2677,4004,5173,6129,6840,7266,
7392,7212,6732,5979,4989,3799,2460,1030,-432,-1879,-3233,-4449,-5467,-6240,-6744,-6943,-6836,-6427,-5733,-4777,
-3604,-2264,-824,665,2139,3532,4797,5879,6737,7336,7646,7653,7354,6756,5890,4793,3509,2097,617,-873,
-2308,-3630,-4778,-5700,-6356,-6721,-6781,-6539,-6004,-5202,-4167,-2942,-1570,-109,1377,2826,4178,5368,6351,7088,
7545,7712,7582,7152,6443,5475,4292,2943,1485,-9,-1478,-2867,-4107,-5151,-5960,-6497,-6735,-6663,-6286,-5628,
-4718,-3591,-2301,-900,557,2020,3424,4710,5821,6714,7340,7678,7711,7440,6876,6039,4957,3684,2267,776,
-728,-2174,-3501,-4655,-5600,-6287,-6700,-6810,-6619,-6128,-5360,-4346,-3139,-1784,-348,1115,2546,3883,5078,6084,
6845,7337,7528,7414,6991,6289,5331,4160,2818,1366,-132,-1618,-3027,-4300,-5377,-6210,-6767,-7030,-6986,-6645,
-6018,-5134,-4031,-2751,-1346,121,1594,3010,4304,5427,6332,6980,7348,7411,7171,6637,5823,4766,3513,2117,
639,-860,-2317,-3668,-4856,-5832,-6556,-6990,-7125,-6952,-6485,-5737,-4754,-3568,-2233,-804,665,2114,3478,4707,
5740,6537,7060,7287,7209,6827,6153,5225,4075,2754,1318,-174,-1659,-3074,-4363,-5462,-6331,-6928,-7238,-7242,
-6947,-6358,-5507,-4429,-3165,-1777,-317,1148,2569,3876,5019,5949,6630,7027,7123,6915,6406,5627,4600,3370,
1993,518,-983,-2452,-3826,-5037,-6043,-6800,-7272,-7448,-7317,-6894,-6197,-5247,-4088,-2777,-1352,117,1573,2956,
4205,5265,6097,6651,6915,6874,6530,5898,5004,3887,2591,1167,-317,-1804,-3228,-4522,-5639,-6525,-7142,-7473,
-7502,-7232,-6671,-5841,-4782,-3530,-2133,-657,828,2277,3614,4792,5755,6470,6906,7052,6890,6433,5690,4695,
3489,2126,662,-828,-2292,-3664,-4883,-5903,-6675,-7173,-7371,-7257,-6849,-6150,-5201,-4037,-2707,-1269,220,1702,
3110,4384,5476,6335,6933,7243,7248,6955,6367,5506,4415,3129,1713,229,-1258,-2685,-3992,-5131,-6040,-6700,
-7065,-7127,-6882,-6337,-5514,-4463,-3222,-1849,-403,1060,2477,3808,4991,5985,6737,7221,7409,7285,6859,6147,
5180,3999,2653,1197,-302,-1784,-3189,-4443,-5498,-6310,-6846,-7083,-7018,-6652,-6001,-5093,-3967,-2665,-1255,211,
1673,3072,4348,5451,6338,6970,7311,7352,7082,6519,5683,4612,3355,1966,488,-1003,-2452,-3799,-4979,-5950,
-6661,-7077,-7186,-6984,-6478,-5699,-4675,-3459,-2098,-644,833,2278,3634,4840,5852,6623,7122,7330,7238,6839,
6152,5203,4029,2682,1219,-292,-1783,-3199,-4472,-5552,-6396,-6969,-7244,-7213,-6876,-6255,-5373,-4272,-2998,-1604,
-145,1317,2731,4033,5171,6097,6761,7144,7223,6996,6474,5676,4632,3395,2001,531,-966,-2428,-3783,-4975,
-5956,-6679,-7115,-7252,-7077,-6599,-5840,-4833,-3625,-2257,-807,677,2128,3490,4709,5738,6528,7059,7297,7234,
6867,6212,5290,4151,2837,1405,-78,-1563,-2975,-4260,-5364,-6234,-6841,-7154,-7163,-6865,-6271,-5413,-4322,-3048,
-1649,-185,1286,2699,4000,5139,6068,6749,7159,7265,7069,6572,5788,4756,3518,2134,664,-833,-2298,-3657,
-4868,-5866,-6625,-7098,-7272,-7145,-6721,-6015,-5067,-3906,-2588,-1165,314,1766,3148,4395,5452,6276,6831,7094,
7051,6705,6069,5170,4044,2738,1309,-177,-1658,-3082,-4383,-5503,-6403,-7041,-7388,-7430,-7168,-6603,-5778,-4721,
-3480,-2107,-664,795,2220,3542,4709,5676,6398,6834,6971,6797,6329,5578,4586,3387,2042,595,-887,-2358,
-3741,-4976,-6017,-6810,-7319,-7528,-7430,-7041,-6368,-5439,-4294,-2982,-1553,-70,1397,2799,4062,5149,6007,6605,
6916,6924,6627,6032,5164,4068,2787,1381,-94,-1577,-3009,-4325,-5482,-6409,-7071,-7441,-7507,-7261,-6724,-5921,
-4882,-3649,-2271,-802,686,2143,3491,4686,5666,6405,6870,7051,6922,6504,5800,4835,3651,2298,837,-657,
-2134,-3511,-4748,-5786,-6587,-7116,-7350,-7278,-6904,-6243,-5327,-4191,-2891,-1474,2,1476,2887,4180,5303,6197,
6832,7178,7223,6967,6418,5601,4551,3309,1921,460,-1021,-2449,-3769,-4930,-5869,-6562,-6967,-7079,-6885,-6396,
-5624,-4617,-3399,-2033,-578,909,2366,3737,4959,5980,6757,7260,7460,7355,6954,6267,5334,4178,2851,1408,
-98,-1595,-3022,-4311,-5399,-6247,-6815,-7089,-7058,-6733,-6125,-5259,-4167,-2895,-1507,-46,1411,2811,4092,5206,
6106,6756,7124,7199,6974,6450,5652,4612,3376,1993,518,-978,-2445,-3804,-5006,-5995,-6727,-7167,-7307,-7141,
-6678,-5941,-4957,-3778,-2438,-1001,473,1930,3309,4541,5586,6388,6920,7160,7092,6719,6066,5142,3998,2676,
1235,-256,-1740,-3158,-4437,-5532,-6396,-6998,-7304,-7301,9,71,-587,-858,-905,-815,-89,748,1389,1883,
2649,3421,3768,3509,2988,2379,1492,-20,-1840,-3592,-5303,-7270,-9431,-11434,-12868,-13948,-14838,-15228,-14675,-13365,
-11635,-9662,-7239,-4387,-1443,1069,3219,5375,7404,8820,9597,10023,10217,9960,9041,7373,5408,3387,1006,-1692,
-4261,-6506,-8624,-10577,-12199,-13361,-14018,-14269,-14138,-13467,-12056,-10009,-7663,-5129,-2283,936,4175,7012,9471,11671,
13464,14641,15073,14831,14053,12793,10931,8460,5654,2667,-412,-3441,-6153,-8407,-10082,-11116,-11467,-11155,-10270,-8947,
-7280,-5345,-3086,-637,1900,4386,6701,8769,10704,12327,13473,14179,14583,14416,13629,12366,10822,8899,6612,4054,
1515,-878,-3032,-4890,-6339,-7432,-7939,-7776,-6988,-5953,-4797,-3362,-1626,2,1419,2839,4399,5904,7351,8654,
10096,11171,11569,11666,11501,10930,10029,9005,7548,5679,4076,2592,933,-635,-1956,-3195,-4347,-5051,-5848,-6395,
-6384,-6474,-6525,-5455,-3994,-2985,-1674,-11,1503,2918,4202,5233,5774,5956,5948,5692,5168,4127,2950,1902,
500,-1047,-2541,-4224,-5805,-6881,-7553,-7970,-8049,-7954,-7534,-6832,-6129,-5561,-4645,-3092,-1504,-54,1576,2966,
3881,4469,4961,5160,4942,4673,4520,4082,3378,2468,1019,-845,-2865,-4900,-6840,-8699,-10514,-12011,-12716,-12619,
-12326,-11694,-10532,-9100,-7564,-5710,-3436,-1062,1108,3213,5299,7101,8568,9802,10599,10874,10853,10757,10383,9513,
8199,6697,4928,2802,431,-1885,-3823,-5451,-6882,-7723,-8018,-8176,-8107,-7458,-6257,-4779,-3083,-1165,902,2985,
5028,6908,8478,9765,10787,11442,11669,11424,10862,10007,8708,6899,4808,2741,656,-1518,-3414,-4803,-5829,-6598,
-6950,-6912,-6497,-5726,-4712,-3585,-2235,-713,873,2450,4161,5968,7658,9012,9862,10386,10833,10834,10223,9326,
8305,6779,4851,2859,918,-1179,-3151,-4953,-6611,-7965,-8960,-9805,-10202,-10089,-9648,-8744,-7103,-5489,-4091,-2355,
-469,977,2219,3519,4712,5785,6738,7157,7377,7552,7206,6129,4763,3115,1034,-1308,-3482,-5423,-7066,-8195,
-8736,-8777,-8733,-8622,-8153,-7634,-7165,-6524,-5421,-3960,-2589,-1272,379,2473,4159,4987,5719,6887,7476,6902,
5981,5364,4279,2159,-255,-2274,-4217,-6322,-8336,-9975,-11123,-11761,-12068,-11998,-11334,-10213,-8834,-7254,-5484,-3577,
-1564,539,2298,3732,5398,7081,8179,8775,9295,9728,9499,8549,7313,5831,3971,1587,-1019,-3329,-5236,-6950,
-8523,-9594,-9812,-9490,-9082,-8410,-7313,-5876,-4227,-2351,-442,1425,3403,5358,6959,8376,9750,10594,10864,10838,
10483,9501,8157,6685,4825,2661,700,-1034,-2917,-4726,-6013,-6883,-7568,-7944,-7815,-7206,-6219,-5194,-4095,-2586,
-723,858,2230,3925,5724,6916,7712,8487,8908,8718,8139,7328,6159,4667,2994,1047,-1110,-3152,-4930,-6482,
-7796,-8841,-9534,-9721,-9503,-9182,-8723,-7791,-6462,-5295,-4185,-2728,-1133,277,1617,3083,4567,5819,6703,7193,
7372,7317,6728,5533,4098,2703,1127,-640,-2423,-3925,-5161,-6163,-6959,-7430,-7547,-7253,-6703,-5950,-4914,-3554,
-2041,-424,1270,3007,4681,6214,7521,8473,9138,9690,9869,9419,8625,7797,6626,4905,2964,1191,-628,-2603,
-4428,-5904,-7066,-7941,-8559,-8747,-8341,-7569,-6647,-5488,-3910,-2150,-445,1300,3108,4696,6131,7550,8663,9304,
9713,9919,9674,8913,7896,6668,5183,3503,1742,-71,-1725,-3187,-4591,-5811,-6522,-6844,-7054,-7004,-6451,-5631,
-4732,-3617,-2333,-1012,441,1855,3034,4132,5240,6062,6414,6629,6660,6236,5463,4557,3362,1880,366,-1158,
-2768,-4327,-5584,-6578,-7419,-7954,-8133,-7937,-7377,-6560,-5621,-4345,-2779,-1250,182,1763,3397,4725,5733,6703,
7525,7919,7949,7670,7078,6190,4952,3366,1567,-262,-2047,-3846,-5551,-7008,-8146,-8989,-9484,-9607,-9382,-8734,
-7726,-6487,-5082,-3438,-1586,255,1981,3738,5443,6896,8004,8812,9302,9484,9290,8601,7556,6379,5000,3236,
1333,-395,-2024,-3649,-5062,-6062,-6689,-6996,-6941,-6557,-5862,-4773,-3473,-2057,-459,1284,2933,4482,5950,7201,
8154,8957,9517,9618,9385,8998,8188,6881,5348,3736,1950,31,-1840,-3530,-4955,-6056,-6907,-7467,-7506,-7067,
-6446,-5555,-4264,-2726,-1159,458,2163,3797,5274,6650,7766,8567,9156,9491,9397,8911,8155,7086,5702,4062,
2276,363,-1528,-3271,-4922,-6384,-7371,-8004,-8355,-8352,-7883,-7025,-5927,-4647,-3141,-1448,333,2070,3703,5247,
6732,7935,8769,9325,9613,9532,9002,8106,6926,5430,3683,1750,-238,-2195,-4003,-5569,-6900,-7909,-8463,-8589,
-8407,-7898,-7014,-5807,-4356,-2783,-1164,550,2294,3896,5206,6380,7409,8084,8324,8266,7895,7145,5983,4518,
2814,954,-960,-2894,-4801,-6431,-7756,-8817,-9596,-9882,-9802,-9400,-8632,-7583,-6373,-4998,-3422,-1867,-385,1130,
2575,3777,4757,5513,5965,6077,5891,5278,4275,3048,1612,-175,-2097,-3919,-5696,-7465,-8990,-10183,-11054,-11593,
-11728,-11532,-10956,-10034,-8866,-7547,-6030,-4327,-2634,-999,608,2074,3334,4381,5141,5549,5622,5385,4802,3773,
2463,964,-730,-2579,-4464,-6210,-7770,-9116,-10168,-10874,-11142,-11011,-10567,-9810,-8688,-7265,-5703,-4060,-2317,-531,
1167,2734,4138,5323,6265,6946,7238,7176,6785,6091,5021,3641,2072,422,-1329,-3049,-4618,-5991,-7105,-7850,
-8262,-8343,-7997,-7236,-6208,-4982,-3461,-1747,-21,1718,3499,5149,6741,8151,9265,10114,10721,10983,10794,10231,
9398,8218,6719,5050,3264,1403,-357,-1970,-3399,-4566,-5297,-5675,-5732,-5414,-4697,-3727,-2539,-1132,354,1919,
3549,5114,6523,7818,8964,9820,10312,10536,10474,9990,9143,7964,6467,4769,2915,977,-981,-2731,-4235,-5538,
-6553,-7137,-7358,-7242,-6773,-5975,-4925,-3607,-2117,-580,1006,2615,4165,5546,6738,7762,8489,8907,8960,8656,
7972,6978,5659,4048,2240,379,-1491,-3333,-5045,-6465,-7595,-8405,-8853,-8918,-8595,-7946,-7003,-5817,-4447,-2896,
-1248,367,1970,3536,4943,6111,7029,7666,7981,7929,7515,6725,5578,4206,2594,766,-1126,-2931,-4668,-6260,
-7570,-8528,-9134,-9365,-9191,-8700,-7880,-6737,-5392,-3902,-2256,-496,1225,2873,4429,5830,6960,7852,8448,8671,
8572,8156,7356,6190,4797,3246,1513,-256,-1929,-3483,-4836,-5869,-6603,-6991,-6983,-6579,-5908,-4918,-3624,-2156,
-586,1087,2792,4444,5985,7429,8612,9526,10222,10550,10456,10009,9211,8062,6577,4865,2995,1040,-888,-2744,
-4418,-5850,-6905,-7649,-8030,-8023,-7618,-6914,-5947,-4754,-3377,-1901,-334,1235,2708,4113,5381,6379,7122,7571,
7706,7485,6871,5940,4717,3191,1495,-366,-2245,-4064,-5744,-7192,-8399,-9255,-9720,-9856,-9662,-9123,-8262,-7157,
-5857,-4388,-2831,-1216,383,1906,3237,4431,5402,6054,6346,6353,6003,5263,4230,2890,1318,-404,-2181,-3957,
-5688,-7190,-8428,-9444,-10107,-10364,-10282,-9852,-9090,-8045,-6763,-5261,-3615,-1933,-249,1456,3033,4396,5568,6489,
7079,7336,7230,6743,5922,4801,3427,1793,73,-1652,-3383,-5013,-6389,-7504,-8313,-8764,-8850,-8556,-7917,-6970,
-5752,-4344,-2737,-1017,731,2460,4133,5676,7022,8116,8919,9385,9521,9310,8710,7745,6528,5068,3376,1590,
-210,-1922,-3473,-4804,-5848,-6529,-6873,-6807,-6423,-5694,-4642,-3340,-1864,-241,1460,3188,4847,6413,7816,8992,
9910,10546,10826,10744,10314,9530,8391,6962,5300,3539,1668,-179,-1903,-3461,-4754,-5723,-6367,-6659,-6533,-6078,
-5332,-4307,-3021,-1571,-43,1558,3146,4644,6025,7241,8195,8885,9288,9346,9026,8347,7378,6063,4499,2773,
957,-915,-2669,-4291,-5719,-6859,-7625,-8032,-8103,-7797,-7111,-6199,-5019,-3634,-2147,-560,1096,2664,4125,5466,
6605,7412,7950,8175,8057,7560,6712,5550,4093,2412,558,-1384,-3318,-5125,-6738,-8100,-9221,-9888,-10245,-10219,
-9821,-9095,-8090,-6813,-5366,-3808,-2189,-572,993,2400,3640,4665,5420,5848,5945,5663,5049,4084,2804,1268,
-429,-2241,-4063,-5853,-7491,-8876,-9998,-10795,-11229,-11266,-10937,-10284,-9315,-8091,-6663,-5116,-3455,-1799,-176,1356,
2743,3928,4860,5498,5840,5815,5460,4726,3688,2413,876,-823,-2573,-4298,-5945,-7430,-8642,-9537,-10099,-10319,
-10127,-9621,-8787,-7651,-6301,-4804,-3131,-1415,266,1898,3444,4796,5905,6769,7330,7557,7424,6972,6120,4968,
3555,1939,173,-1632,-3381,-4993,-6425,-7540,-8365,-8831,-8916,-8638,-8057,-7127,-5927,-4528,-2997,-1351,323,1967,
3482,4891,6099,7064,7771,8131,8173,7871,7209,6226,4950,3451,1797,44,-1686,-3343,-4840,-6093,-7041,-7660,
-7925,-7813,-7341,-6546,-5469,-4169,-2658,-1044,644,2325,3957,5479,6848,7975,8860,9418,9667,9563,9098,8300,
7217,5825,4243,2531,773,-964,-2586,-4003,-5170,-6031,-6532,-6676,-6484,-5928,-5089,-3975,-2652,-1171,402,2036,
3645,5175,6562,7768,8777,9455,9840,9909,9617,8975,8013,6742,5239,3562,1781,-26,-1765,-3321,-4667,-5726,
-6455,-6786,-6801,-6418,-5694,-4685,-3445,-1992,-393,1240,2883,4523,6026,7352,8480,9378,9963,10226,10140,9700,
8912,7821,6465,4864,3150,1405,-344,-2011,-3446,-4649,-5550,-6120,-6321,-6136,-5628,-4816,-3721,-2434,-972,589,
2189,3768,5308,6721,7932,8927,9636,10017,10077,9802,9147,8168,6900,5386,3662,1855,22,-1735,-3349,-4757,
-5860,-6638,-7064,-7142,-6873,-6258,-5355,-4196,-2851,-1351,223,1836,3384,4860,6193,7298,8168,8775,9040,8953,
8541,7765,6671,5303,3690,1974,133,-1660,-3356,-4891,-6165,-7115,-7772,-8032,-7930,-7483,-6737,-5713,-4433,-3006,
-1491,111,1681,3185,4559,5761,6725,7447,7845,7909,7616,6985,6053,4776,3250,1572,-214,-2065,-3824,-5472,
-6930,-8093,-8909,-9380,-9492,-9202,-8575,-7678,-6515,-5158,-3663,-2068,-434,1159,2649,4040,5193,6081,6691,7004,
6977,6581,5868,4830,3505,1956,230,-1584,-3373,-5089,-6616,-7914,-8909,-9564,-9879,-9839,-9431,-8714,-7728,-6479,
-5075,-3541,-1962,-380,1159,2571,3809,4868,5659,6164,6341,6182,5675,4824,3671,2268,647,-1064,-2814,-4534,
-6123,-7485,-8606,-9383,-9830,-9875,-9582,-8962,-8025,-6829,-5455,-3901,-2277,-645,979,2512,3900,5106,6071,6736,
7108,7110,6782,6073,5055,3783,2266,543,-1206,-2978,-4673,-6213,-7478,-8476,-9142,-9441,-9371,-8990,-8264,-7259,
-6033,-4635,-3070,-1471,127,1705,3162,4457,5538,6368,6916,7120,7001,6529,5705,4585,3198,1587,-154,-1947,
-3701,-5324,-6758,-7932,-8817,-9348,-9491,-9294,-8781,-7919,-6793,-5455,-3965,-2348,-701,919,2449,3877,5095,6109,
6838,7250,7323,7083,6482,5529,4310,2855,1225,-509,-2234,-3885,-5417,-6697,-7703,-8377,-8698,-8656,-8241,-7506,
-6483,-5231,-3782,-2220,-577,1066,2663,4179,5534,6646,7532,8109,8375,8291,7866,7125,6063,4726,3201,1533,
-193,-1898,-3478,-4868,-6004,-6834,-7304,-7437,-7196,-6619,-5727,-4582,-3219,-1690,-60,1626,3291,4891,6321,7614,
8693,9455,9942,10105,9918,9370,8481,7295,5839,4201,2467,702,-1005,-2538,-3886,-4954,-5689,-6052,-6105,-5766,
-5104,-4154,-2954,-1538,0,1637,3236,4848,6338,7677,8812,9696,10292,10580,10512,10079,9293,8216,6824,5219,
3506,1707,-89,-1775,-3265,-4535,-5491,-6117,-6383,-6283,-5851,-5117,-4105,-2867,-1445,57,1624,3188,4687,6078,
7285,8251,8969,9357,9427,9170,8553,7594,6351,4852,3155,1347,-514,-2293,-3943,-5371,-6531,-7367,-7861,-8005,
-7796,-7242,-6380,-5292,-3989,-2508,-968,619,2150,3610,4938,6042,6919,7542,7843,7793,7395,6658,5624,4296,
2750,1060,-716,-2469,-4140,-5646,-6910,-7852,-8506,-8776,-8675,-8229,-7477,-6450,-5150,-3689,-2142,-489,1127,2692,
4141,5401,6456,7271,7771,7940,7757,7257,6402,5252,3843,2275,555,-1181,-2869,-4434,-5834,-6971,-7757,-8238,
-8328,-8080,-7473,-6603,-5439,-4093,-2588,-971,686,2293,3850,5273,6503,7472,8195,8593,8668,8369,7754,6823,
5576,4109,2479,739,-987,-2648,-4144,-5408,-6370,-7014,-7327,-7261,-6835,-6118,-5099,-3853,-2425,-880,724,2325,
3882,5314,6582,7645,8436,8947,9126,8956,8466,7609,6429,5028,3393,1634,-185,-1970,-3641,-5122,-6337,-7263,
-7849,-8074,-7933,-7473,-6687,-5634,-4397,-2965,-1450,79,1625,3081,4401,5549,6484,7130,7476,7478,7146,6449,
5427,4156,2623,912,-867,-2669,-4419,-6020,-7374,-8452,-9205,-9626,-9643,-9356,-8718,-7807,-6652,-5316,-3834,-2278,
-708,818,2251,3523,4593,5429,5964,6166,6065,5596,4788,3687,2294,694,-1030,-2820,-4590,-6233,-7700,-8906,
-9813,-10373,-10573,-10427,-9937,-9115,-8047,-6749,-5271,-3695,-2076,-472,1039,2478,3694,4708,5451,5889,6000,5775,
5190,4302,3109,1682,68,-1637,-3362,-5017,-6557,-7862,-8913,-9633,-10012,-10029,-9687,-9024,-8080,-6865,-5478,-3956,
-2336,-712,877,2387,3741,4894,5811,6445,6760,6723,6347,5647,4654,3352,1882,238,-1467,-3155,-4756,-6141,
-7309,-8186,-8690,-8870,-8688,-8157,-7329,-6230,-4881,-3397,-1796,-133,1522,3096,4538,5834,6898,7680,8177,8360,
8187,7670,6809,5670,4269,2667,963,-766,-2477,-4025,-5385,-6483,-7241,-7683,-7787,-7510,-6902,-6013,-4877,-3542,
-2053,-492,1091,2650,4098,5430,6561,7437,8056,8366,8329,7961,7237,6212,4905,3358,1692,-44,-1804,-3459,
-4938,-6189,-7159,-7798,-8079,-7996,-7580,-6840,-5805,-4565,-3142,-1617,-27,1578,3142,4560,5853,6887,7707,8191,
8356,8187,7678,6823,5697,4292,2689,976,-794,-2503,-4093,-5497,-6609,-7428,-7900,-8010,-7787,-7213,-6345,-5231,
-3902,-2440,-848,746,2316,3799,5172,6329,7281,7954,8314,8359,8053,7409,6460,5226,3757,2138,414,-1305,
-2972,-4453,-5731,-6721,-7386,-7710,-7668,-7265,-6571,-5572,-4331,-2922,-1377,236,1847,3406,4873,6136,7232,8069,
8606,8797,8661,8191,7371,6247,4877,3324,1628,-134,-1836,-3457,-4877,-6061,-6923,-7446,-7629,-7451,-6915,-6104,
-5013,-3724,-2286,-706,898,2463,3968,5344,6545,7492,8195,8581,8647,8348,7731,6795,5554,4083,2427,694,
-1054,-2756,-4281,-5602,-6633,-7341,-7715,-7733,-7385,-6721,-5779,-4590,-3207,-1707,-150,1429,2962,4386,5646,6716,
7536,8074,8265,8160,7693,6900,5784,4423,2837,1114,-671,-2445,-4104,-5568,-6816,-7726,-8323,-8548,-8428,-7972,
-7178,-6120,-4848,-3396,-1836,-249,1344,2860,4242,5481,6490,7230,7665,7765,7532,6936,6046,4866,3409,1795,
93,-1648,-3318,-4881,-6199,-7245,-7973,-8357,-8369,-8043,-7388,-6457,-5283,-3903,-2383,-802,816,2396,3891,5211,
6348,7245,7869,8169,8158,7782,7062,6033,4739,3206,1548,-193,-1925,-3554,-5008,-6212,-7133,-7723,-7934,-7816,
-7347,-6549,-5511,-4227,-2787,-1232,386,1997,3530,4961,6207,7243,8030,8505,8681,8498,7972,7124,5960,4548,
2945,1234,-509,-2203,-3776,-5124,-6228,-7015,-7457,-7544,-7284,-6677,-5794,-4649,-3286,-1804,-230,1368,2926,4410,
5744,6883,7789,8418,8727,8684,8304,7601,6559,5247,3732,2061,287,-1483,-3157,-4655,-5919,-6896,-7524,-7818,
-7754,-7352,-6644,-5655,-4425,-3029,-1512,95,1666,3195,4613,5867,6923,7699,8199,8371,8196,7678,6831,5684,
4274,2683,957,-811,-2520,-4127,-5529,-6666,-7486,-7973,-8114,-7886,-7338,-6490,-5380,-4057,-2557,-993,600,2195,
3695,5059,6237,7180,7852,8224,8233,7923,7267,6285,5024,3520,1859,125,-1626,-3279,-4786,-6079,-7073,-7752,
-8067,-8047,-7673,-6961,-5989,-4772,-3358,-1842,-233,1384,2938,4403,5711,6799,7644,8181,8384,8267,7790,6982,
5873,4513,2945,1219,-545,-2252,-3872,-5299,-6461,-7314,-7831,-8015,-7835,-7317,-6503,-5438,-4133,-2687,-1145,427,
1995,3480,4848,5993,6947,7619,7999,8034,7734,7077,6137,4872,3389,1715,-36,-1811,-3506,-5077,-6422,-7484,
-8249,-8635,-8687,-8368,-7743,-6808,-5634,-4271,-2789,-1192,388,1943,3362,4668,5754,6605,7137,7371,7269,6805,
6003,4909,3534,1986,255,-1501,-3256,-4896,-6363,-7581,-8507,-9089,-9332,-9217,-8749,-7985,-6945,-5698,-4272,-2719,
-1136,441,1966,3357,4579,5560,6280,6710,6816,6553,5993,5075,3895,2463,857,-848,-2555,-4234,-5746,-7052,
-8071,-8807,-9173,-9180,-8852,-8196,-7225,-6020,-4618,-3059,-1457,203,1810,3319,4687,5872,6788,7427,7758,7739,
7404,6712,5728,4473,2987,1376,-341,-2030,-3606,-5033,-6218,-7108,-7677,-7910,-7784,-7312,-6532,-5455,-4163,-2698,
-1119,516,2124,3679,5131,6406,7446,8247,8737,8901,8748,8220,7384,6247,4849,3272,1604,-129,-1808,-3358,
-4712,-5770,-6546,-6986,-7037,-6763,-6140,-5226,-4094,-2734,-1216,371,2000,3571,5073,6407,7556,8484,9098,9404,
9397,9022,8329,7304,6015,4490,2814,1047,-708,-2372,-3858,-5132,-6124,-6781,-7074,-7023,-6622,-5914,-4931,-3721,
-2346,-833,747,2306,3803,5204,6443,7464,8227,8708,8851,8680,8145,7294,6148,4748,3138,1414,-337,-2064,
-3668,-5063,-6215,-7050,-7577,-7744,-7547,-7009,-6204,-5098,-3781,-2344,-798,773,2341,3823,5149,6312,7241,7890,
8232,8212,7865,7192,6191,4907,3403,1741,-12,-1787,-3469,-4987,-6283,-7300,-7983,-8319,-8292,-7927,-7250,-6279,
-5057,-3684,-2156,-562,1053,2596,4041,5317,6403,7214,7754,7989,7863,7392,6599,5524,4181,2621,935,-788,
-2497,-4082,-5521,-6669,-7508,-8048,-8223,-8016,-7512,-6673,-5593,-4305,-2858,-1305,308,1874,3360,4724,5893,6847,
7527,7908,7943,7669,7037,6085,4836,3363,1727,-16,-1786,-3463,-4989,-6322,-7372,-8111,-8476,-8498,-8174,-7522,
-6576,-5395,-4023,-2533,-939,682,2233,3697,5013,6125,6984,7573,7823,7745,7316,6561,5503,4163,2650,955,
-768,-2483,-4088,-5516,-6672,-7559,-8095,-8285,-8114,-7613,-6799,-5751,-4454,-3003,-1440,151,1765,3279,4696,5895,
6906,7642,8077,8183,7946,7366,6474,5292,3869,2260,550,-1169,-2847,-4388,-5694,-6760,-7483,-7879,-7917,-7605,
-6999,-6071,-4890,-3528,-2034,-421,1184,2769,4240,5578,6724,7616,8217,8530,8481,8099,7363,6347,5043,3535,
1876,156,-1553,-3178,-4635,-5852,-6788,-7393,-7649,-7554,-7101,-6364,-5351,-4106,-2681,-1167,405,1992,3504,4893,
6111,7103,7843,8282,8389,8141,7581,6680,5492,4043,2422,682,-1088,-2820,-4418,-5814,-6939,-7766,-8252,-8376,
-8160,-7605,-6752,-5641,-4338,-2876,-1347,220,1759,3198,4509,5617,6495,7088,7359,7330,6942,6219,5192,3889,
2360,675,-1098,-2866,-4523,-6041,-7341,-8320,-9001,-9324,-9299,-8927,-8240,-7253,-6068,-4675,-3170,-1615,-61,1443,
2849,4092,5104,5897,6372,6536,6359,5821,4976,3854,2446,879,-820,-2551,-4254,-5837,-7212,-8317,-9138,-9599,
-9694,-9472,-8906,-8043,-6922,-5587,-4109,-2525,-898,698,2235,3597,4791,5774,6461,6848,6927,6647,6024,5088,
3856,2420,816,-889,-2574,-4197,-5664,-6903,-7875,-8515,-8792,-8737,-8333,-7585,-6581,-5336,-3920,-2357,-731,894,
2484,3950,5259,6362,7209,7768,8000,7892,7456,6692,5632,4318,2791,1125,-558,-2231,-3783,-5143,-6267,-7082,
-7593,-7721,-7511,-6957,-6135,-5006,-3690,-2221,-636,976,2567,4096,5456,6684,7654,8368,8752,8807,8525,7921,
6955,5735,4264,2639,923,-834,-2511,-4034,-5369,-6413,-7133,-7507,-7538,-7236,-6606,-5681,-4527,-3189,-1698,-162,
1406,2926,4357,5623,6698,7518,8072,8305,8197,7754,6986,5909,4568,2993,1311,-438,-2165,-3798,-5250,-6451,
-7334,-7917,-8124,-7986,-7521,-6726,-5685,-4413,-2988,-1441,146,1724,3232,4626,5806,6788,7506,7928,8021,7770,
7169,6271,5081,3654,2056,346,-1400,-3048,-4580,-5899,-6957,-7692,-8074,-8121,-7840,-7190,-6288,-5114,-3766,-2264,
-685,911,2473,3957,5281,6439,7319,7930,8224,8205,7828,7112,6110,4815,3332,1695,-16,-1678,-3317,-4719,
-5914,-6796,-7361,-7594,-7447,-6991,-6216,-5182,-3909,-2481,-926,661,2261,3786,5206,6433,7464,8230,8692,8819,
8622,8081,7218,6050,4645,3040,1342,-408,-2113,-3669,-5019,-6144,-6914,-7365,-7475,-7238,-6671,-5802,-4675,-3355,
-1886,-335,1239,2763,4220,5537,6659,7542,8134,8443,8377,7998,7275,6231,4953,3425,1754,12,-1742,-3400,
-4910,-6184,-7188,-7845,-8170,-8145,-7764,-7064,-6124,-4932,-3563,-2085,-543,1007,2501,3878,5103,6087,6833,7286,
7411,7191,6645,5780,4631,3211,1602,-122,-1887,-3605,-5195,-6594,-7747,-8587,-9096,-9247,-9043,-8521,-7682,-6587,
-5296,-3855,-2312,-726,843,2318,3665,4824,5747,6408,6744,6770,6459,5807,4858,3611,2153,533,-1187,-2896,
-4518,-6019,-7274,-8245,-8933,-9240,-9221,-8843,-8134,-7163,-5940,-4514,-2998,-1392,189,1756,3192,4491,5574,6414,
6946,7181,7051,6598,5820,4742,3415,1893,234,-1465,-3131,-4692,-6067,-7184,-8000,-8482,-8604,-8386,-7839,-6985,
-5864,-4541,-3060,-1462,186,1784,3315,4722,5946,6942,7677,8077,8192,7945,7367,6468,5283,3858,2280,581,
-1106,-2748,-4234,-5514,-6522,-7217,-7547,-7561,-7187,-6513,-5550,-4362,-2971,-1451,155,1749,3310,4775,6076,7171,
8012,8596,8839,8755,8321,7595,6537,5216,3678,2001,301,-1412,-3018,-4436,-5618,-6497,-7072,-7288,-7127,-6663,
-5891,-4822,-3546,-2098,-563,1015,2603,4109,5485,6717,7694,8414,8803,8899,8647,8069,7134,5934,4506,2902,
1182,-569,-2250,-3774,-5123,-6181,-6915,-7339,-7395,-7108,-6499,-5594,-4457,-3112,-1626,-69,1525,3050,4511,5824,
6924,7792,8391,8654,8599,8206,7476,6447,5151,3622,1978,246,-1472,-3101,-4551,-5760,-6677,-7286,-7525,-7434,
-6987,-6241,-5222,-3981,-2558,-1023,557,2147,3657,5050,6254,7272,8028,8461,8589,8384,7832,6971,5797,4377,
2807,1091,-641,-2323,-3883,-5236,-6332,-7145,-7581,-7675,-7443,-6852,-6004,-4876,-3567,-2111,-566,1056,2558,4042,
5341,6464,7340,7948,8245,8212,7817,7136,6104,4820,3305,1639,-90,-1808,-3467,-4947,-6184,-7143,-7791,-8086,
-8051,-7629,-6941,-5970,-4754,-3366,-1871,-311,1263,2754,4160,5373,6410,7172,7641,7788,7607,7081,6233,5077,
3688,2114,416,-1331,-3050,-4611,-5983,-7136,-7960,-8448,-8591,-8389,-7864,-7016,-5924,-4638,-3182,-1633,-51,1502,
2964,4303,5459,6377,7019,7363,7375,7042,6367,5395,4141,2684,1049,-654,-2383,-3995,-5485,-6750,-7731,-8376,
-8712,-8661,-8288,-7595,-6623,-5419,-4034,-2510,-936,679,2220,3668,4953,6041,6864,7405,7615,7508,7055,6266,
5210,3875,2339,685,-1013,-2681,-4239,-5608,-6725,-7552,-8040,-8176,-7964,-7449,-6607,-5501,-4183,-2735,-1153,460,
2044,3555,4957,6142,7120,7832,8246,8319,8066,7458,6579,5389,3972,2388,708,-983,-2589,-4073,-5346,-6327,
-7018,-7351,-7367,-7019,-6344,-5405,-4220,-2843,-1349,229,1803,3343,4785,6068,7149,7989,8542,8768,8642,8196,
7425,6350,5023,3512,1831,123,-1600,-3195,-4619,-5801,-6713,-7264,-7488,-7363,-6915,-6160,-5132,-3863,-2488,-971,
594,2131,3610,4958,6139,7086,7785,8156,8237,7960,7365,6430,5233,3794,2185,450,-1270,-2948,-4496,-5844,
-6919,-7680,-8103,-8186,-7916,-7324,-6450,-5324,-4014,-2567,-1017,511,2049,3450,4724,5785,6615,7173,7421,7328,
6906,6181,5132,3830,2299,653,-1067,-2800,-4405,-5843,-7062,-7990,-8609,-8869,-8762,-8332,-7607,-6583,-5347,-3939,
-2439,-876,708,2209,3590,4807,5817,6575,6997,7133,6940,6416,5547,4421,3049,1502,-164,-1843,-3499,-5004,
-6336,-7388,-8127,-8542,-8615,-8338,-7725,-6829,-5696,-4357,-2871,-1303,297,1859,3359,4705,5850,6764,7411,7736,
7759,7414,6745,5799,4560,3107,1524,-155,-1819,-3409,-4824,-6035,-6932,-7534,-7774,-7679,-7243,-6493,-5484,-4238,
-2805,-1276,326,1938,3472,4902,6141,7195,8004,8509,8699,8557,8064,7266,6154,4818,3289,1666,-53,-1702,
-3231,-4564,-5663,-6462,-6907,-7035,-6798,-6249,-5401,-4297,-3005,-1559,-17,1555,3097,4578,5905,7067,7971,8605,
8946,8965,8610,7970,6989,5745,4286,2648,942,-771,-2430,-3908,-5186,-6175,-6868,-7209,-7208,-6843,-6211,-5272,
-4106,-2754,-1286,237,1780,3277,4657,5884,6903,7678,8165,8326,8154,7683,6870,5749,4398,2831,1147,-601,
-2311,-3919,-5330,-6513,-7358,-7910,-8105,-7969,-7488,-6712,-5667,-4427,-3006,-1507,51,1568,3008,4342,5485,6408,
7048,7413,7452,7150,6513,5563,4346,2895,1291,-404,-2121,-3765,-5276,-6549,-7571,-8276,-8634,-8625,-8316,-7675,
-6749,-5581,-4238,-2750,-1210,369,1892,3335,4607,5685,6522,7092,7322,7240,6834,6066,5017,3709,2204,572,
-1141,-2806,-4389,-5793,-6942,-7812,-8350,-8549,-8397,-7908,-7125,-6078,-4790,-3383,-1848,-248,1312,2818,4200,5415,
6409,7122,7547,7646,7441,6862,6005,4859,3465,1899,245,-1455,-3070,-4574,-5852,-6878,-7595,-7999,-8038,-7738,
-7104,-6202,-5037,-3693,-2191,-636,940,2491,3946,5230,6351,7225,7794,8074,8002,7617,6909,5879,4586,3099,
1464,-228,-1934,-3525,-4953,-6143,-7071,-7659,-7920,-7823,-7397,-6673,-5665,-4440,-3070,-1556,8,1564,3052,4420,
5621,6620,7347,7786,7901,7682,7134,6270,5094,3732,2137,446,-1280,-2937,-4483,-5839,-6920,-7696,-8144,-8254,
-8008,-7449,-6576,-5488,-4180,-2729,-1188,358,1915,3351,4670,5772,6646,7254,7569,7519,7178,6482,5487,4226,
2730,1103,-585,-2306,-3906,-5355,-6585,-7545,-8176,-8465,-8390,-7997,-7292,-6296,-5087,-3688,-2189,-622,966,2482,
3885,5154,6178,6965,7441,7627,7445,6949,6132,5027,3668,2141,479,-1227,-2870,-4398,-5754,-6826,-7622,-8081,
-8200,-7982,-7427,-6569,-5483,-4154,-2703,-1153,431,1985,3477,4835,5989,6915,7596,7944,7976,7662,7047,6119,
4892,3465,1890,206,-1466,-3081,-4526,-5756,-6729,-7372,-7666,-7627,-7266,-6563,-5617,-4400,-3034,-1511,81,1655,
3187,4593,5854,6906,7718,8222,8447,8309,7855,7078,5999,4672,3169,1517,-166,-1837,-3388,-4768,-5900,-6742,
-7235,-7427,-7250,-6730,-5921,-4874,-3609,-2179,-658,902,2448,3932,5274,6444,7373,8039,8412,8445,8149,7549,
6594,5392,3950,2337,640,-1062,-2718,-4210,-5498,-6517,-7224,-7607,-7635,-7305,-6687,-5784,-4623,-3293,-1831,-312,
1229,2741,4145,5392,6451,7262,7795,7997,7886,7446,6677,5601,4283,2752,1099,-633,-2343,-3931,-5357,-6538,
-7421,-8000,-8237,-8126,-7690,-6948,-5925,-4715,-3322,-1824,-278,1257,2703,4055,5236,6167,6871,7255,7332,7073,
6471,5571,4389,2959,1369,-305,-2023,-3672,-5183,-6505,-7545,-8299,-8700,-8765,-8494,-7889,-7010,-5894,-4572,-3106,
-1585,-8,1526,2964,4241,5327,6209,6784,7043,7003,6611,5896,4874,3590,2114,516,-1186,-2856,-4437,-5836,
-7024,-7920,-8507,-8725,-8614,-8184,-7416,-6407,-5173,-3774,-2255,-689,880,2374,3785,4992,6017,6742,7217,7367,
7153,6626,5810,4683,3328,1777,136,-1540,-3165,-4682,-5989,-7037,-7803,-8218,-8299,-8052,-7460,-6591,-5461,-4138,
-2653,-1112,465,2015,3485,4802,5945,6851,7471,7808,7771,7447,6785,5815,4581,3122,1532,-147,-1819,-3406,
-4817,-6036,-6979,-7575,-7844,-7774,-7380,-6666,-5666,-4454,-3069,-1559,4,1568,3084,4474,5729,6760,7528,8018,
8183,8024,7530,6714,5615,4285,2735,1089,-605,-2247,-3786,-5139,-6234,-7005,-7506,-7602,-7405,-6870,-6026,-4943,
-3665,-2221,-684,874,2420,3869,5203,6333,7221,7865,8203,8203,7897,7257,6313,5081,3631,2046,373,-1324,
-2919,-4382,-5630,-6603,-7274,-7604,-7575,-7238,-6564,-5619,-4453,-3096,-1620,-80,1491,2990,4391,5646,6671,7479,
7985,8172,8040,7562,6788,5713,4376,2853,1198,-500,-2157,-3717,-5107,-6215,-7066,-7568,-7749,-7585,-7079,-6285,
-5253,-3983,-2551,-1034,516,2036,3508,4849,5991,6939,7617,7981,8040,7747,7144,6228,5046,3629,2038,340,
-1336,-2983,-4460,-5748,-6754,-7467,-7818,-7839,-7523,-6896,-5987,-4842,-3507,-2034,-493,1054,2561,3966,5227,6290,
7121,7651,7873,7784,7367,6613,5570,4257,2786,1154,-531,-2189,-3750,-5145,-6304,-7177,-7715,-7936,-7803,-7331,
-6577,-5544,-4316,-2917,-1396,144,1687,3185,4543,5732,6687,7393,7806,7909,7671,7108,6231,5077,3679,2107,
449,-1236,-2869,-4352,-5653,-6669,-7421,-7806,-7855,-7566,-6989,-6077,-4949,-3621,-2170,-649,913,2457,3886,5167,
6266,7120,7702,7957,7906,7531,6819,5822,4562,3082,1479,-218,-1889,-3447,-4869,-6059,-6945,-7527,-7770,-7684,
-7257,-6512,-5515,-4299,-2900,-1408,140,1680,3163,4534,5726,6719,7444,7881,8009,7813,7253,6404,5284,3897,
2351,682,-1001,-2642,-4182,-5499,-6576,-7360,-7799,-7898,-7658,-7105,-6284,-5185,-3901,-2475,-963,593,2113,3545,
4839,5939,6829,7438,7725,7710,7324,6647,5668,4418,2937,1341,-361,-2044,-3634,-5076,-6305,-7247,-7887,-8166,
-8115,-7731,-7025,-6071,-4875,-3513,-2031,-481,1064,2556,3952,5188,6195,6938,7428,7598,7438,6947,6133,5041,
3702,2172,533,-1153,-2781,-4321,-5645,-6732,-7515,-7994,-8126,-7905,-7349,-6541,-5428,-4139,-2698,-1162,410,1938,
3427,4760,5918,6840,7490,7831,7878,7551,6942,6005,4805,3389,1817,156,-1508,-3093,-4524,-5756,-6712,-7359,
-7665,-7632,-7263,-6600,-5657,-4474,-3115,-1633,-91,1488,2983,4384,5652,6706,7503,8016,8215,8088,7629,6855,
5811,4488,2969,1349,-335,-1990,-3539,-4919,-6050,-6867,-7398,-7569,-7405,-6918,-6128,-5105,-3843,-2431,-926,612,
2159,3604,4930,6073,6991,7654,8014,8055,7777,7166,6246,5028,3601,2022,358,-1341,-2954,-4439,-5699,-6724,
-7444,-7824,-7854,-7579,-6938,-6057,-4917,-3596,-2165,-636,919,2397,3806,5076,6123,6929,7452,7677,7577,7133,
6389,5355,4039,2556,927,-782,-2423,-4002,-5376,-6534,-7396,-7952,-8180,-8069,-7589,-6834,-5825,-4602,-3185,-1685,
-147,1389,2858,4229,5386,6369,7076,7493,7576,7336,6791,5924,4773,3417,1860,222,-1464,-3086,-4574,-5845,
-6887,-7610,-7998,-8036,-7750,-7162,-6269,-5118,-3801,-2338,-786,776,2311,3751,5035,6143,7000,7581,7870,7831,
7471,6769,5766,4515,3073,1469,-188,-1853,-3409,-4808,-6000,-6885,-7469,-7708,-7614,-7186,-6463,-5464,-4264,-2872,
-1371,156,1717,3205,4577,5791,6754,7490,7948,8062,7853,7344,6489,5360,3987,2450,808,-890,-2514,-4031,
-5330,-6409,-7198,-7631,-7728,-7493,-6956,-6121,-5027,-3750,-2325,-819,730,2249,3670,4956,6069,6951,7539,7841,
7809,7468,6779,5801,4560,3115,1502,-190,-1856,-3441,-4908,-6134,-7046,-7703,-7993,-7965,-7587,-6887,-5934,-4765,
-3393,-1911,-351,1175,2662,4048,5273,6281,7038,7520,7681,7515,7018,6205,5120,3778,2266,633,-1036,-2667,
-4207,-5541,-6613,-7428,-7882,-8012,-7809,-7281,-6469,-5387,-4097,-2676,-1162,408,1950,3397,4711,5865,6780,7431,
7776,7816,7523,6889,5963,4764,3352,1779,119,-1532,-3140,-4572,-5809,-6769,-7417,-7717,-7713,-7353,-6675,-5728,
-4549,-3216,-1727,-179,1360,2877,4277,5522,6553,7351,7866,8087,7955,7508,6748,5686,4373,2872,1247,-428,
-2082,-3637,-4984,-6108,-6945,-7475,-7637,-7495,-6975,-6219,-5162,-3906,-2513,-1006,529,2073,3532,4870,6030,6967,
7625,7994,8036,7760,7158,6227,5042,3653,2082,415,-1277,-2884,-4337,-5615,-6603,-7311,-7663,-7695,-7392,-6769,
-5857,-4732,-3408,-1940,-416,1122,2632,4033,5301,6366,7179,7732,7976,7887,7453,6709,5692,4412,2919,1311,
-364,-2004,-3566,-4965,-6109,-6978,-7523,-7720,-7593,-7114,-6375,-5351,-4114,-2699,-1211,361,1903,3380,4748,5924,
6904,7600,8011,8116,7883,7340,6476,5334,3952,2420,792,-889,-2490,-3968,-5248,-6285,-7009,-7404,-7467,-7176,
-6568,-5691,-4572,-3267,-1814,-276,1297,2811,4243,5526,6608,7459,8034,8322,8266,7865,7182,6167,4920,3463,
1828,167,-1498,-3055,-4476,-5634,-6558,-7128,-7397,-7304,-6882,-6166,-5204,-3983,-2635,-1128,388,1914,3387,4751,
5928,6920,7640,8070,8180,7965,7425,6576,5430,4062,2512,852,-850,-2508,-4019,-5335,-6442,-7206,-7657,-7774,
-7560,-7041,-6202,-5121,-3868,-2465,-945,575,2082,3472,4749,5855,6692,7262,7565,7518,7147,6441,5454,4203,
2755,1118,-549,-2237,-3832,-5285,-6519,-7465,-8100,-8435,-8376,-8026,-7361,-6422,-5253,-3913,-2441,-935,596,2079,
3451,4653,5642,6404,6875,7015,6840,6335,5520,4431,3075,1558,-65,-1755,-3404,-4905,-6256,-7346,-8168,-8647,
-8784,-8577,-8068,-7245,-6186,-4912,-3492,-1985,-435,1103,2545,3870,4993,5922,6553,6904,6940,6646,6005,5096,
3896,2501,939,-720,-2367,-3943,-5392,-6610,-7564,-8201,-8524,-8493,-8143,-7470,-6522,-5347,-3977,-2511,-957,600,
2107,3516,4781,5820,6633,7136,7365,7244,6810,6046,5020,3722,2252,643,-1004,-2631,-4162,-5495,-6593,-7421,
-7913,-8078,-7905,-7396,-6620,-5561,-4297,-2902,-1387,185,1717,3192,4537,5683,6647,7317,7706,7795,7513,6940,
6040,4864,3477,1924,266,-1386,-2986,-4433,-5708,-6686,-7383,-7728,-7769,-7439,-6820,-5913,-4780,-3483,-2022,-483,
1057,2556,3947,5210,6261,7074,7597,7848,7737,7312,6576,5536,4258,2748,1142,-522,-2173,-3725,-5117,-6274,
-7153,-7713,-7942,-7824,-7392,-6664,-5668,-4452,-3068,-1591,-59,1479,2936,4283,5446,6394,7090,7465,7537,7305,
6728,5841,4695,3308,1764,114,-1585,-3198,-4673,-5962,-7018,-7730,-8147,-8205,-7959,-7386,-6522,-5431,-4131,-2686,
-1183,369,1852,3275,4557,5645,6475,7075,7325,7282,6906,6202,5207,3968,2512,927,-735,-2361,-3935,-5332,
-6500,-7380,-7969,-8197,-8097,-7668,-6943,-5956,-4724,-3323,-1856,-298,1266,2747,4137,5330,6351,7107,7545,7694,
7524,7014,6211,5114,3777,2280,674,-980,-2556,-4038,-5323,-6363,-7115,-7543,-7617,-7374,-6778,-5928,-4816,-3491,
-2077,-523,1040,2573,4028,5350,6462,7356,7975,8297,8310,7959,7321,6387,5174,3764,2173,544,-1082,-2660,
-4063,-5241,-6178,-6776,-7067,-7026,-6627,-5938,-4987,-3785,-2457,-975,544,2086,3559,4940,6152,7165,7931,8391,
8548,8389,7899,7087,5997,4680,3168,1537,-141,-1788,-3323,-4642,-5755,-6560,-7066,-7217,-7040,-6536,-5760,-4699,
-3459,-2067,-568,960,2453,3876,5168,6275,7159,7774,8089,8076,7761,7084,6134,4943,3508,1907,250,-1437,
-3040,-4503,-5758,-6733,-7424,-7781,-7774,-7464,-6841,-5934,-4812,-3505,-2058,-560,975,2441,3816,5036,6018,6805,
7302,7480,7338,6882,6101,5029,3696,2198,572,-1106,-2745,-4277,-5654,-6783,-7640,-8174,-8334,-8190,-7712,-6937,
-5903,-4667,-3296,-1795,-249,1280,2716,4050,5216,6134,6798,7171,7237,6981,6386,5507,4338,2971,1404,-231,
-1884,-3475,-4947,-6184,-7170,-7862,-8229,-8250,-7943,-7296,-6410,-5271,-3926,-2441,-920,630,2153,3583,4838,5911,
6769,7308,7555,7478,7066,6354,5339,4070,2614,1023,-616,-2252,-3786,-5139,-6275,-7138,-7655,-7858,-7732,-7273,
-6527,-5500,-4263,-2883,-1370,179,1720,3203,4544,5734,6714,7423,7842,7947,7716,7166,6313,5170,3817,2284,
644,-1011,-2612,-4086,-5377,-6388,-7107,-7511,-7579,-7282,-6693,-5802,-4707,-3409,-1969,-441,1100,2638,4042,5335,
6407,7260,7835,8118,8055,7702,7009,6008,4772,3318,1744,89,-1576,-3127,-4509,-5680,-6569,-7165,-7416,-7320,
-6913,-6220,-5214,-4018,-2642,-1170,372,1906,3384,4739,5948,6921,7662,8086,8208,8021,7504,6641,5544,4201,
2672,1042,-626,-2242,-3734,-5046,-6098,-6866,-7307,-7406,-7197,-6654,-5802,-4752,-3470,-2051,-547,1001,2497,3920,
5212,6304,7181,7780,8084,8047,7683,7019,6055,4821,3368,1790,126,-1528,-3118,-4536,-5764,-6685,-7332,-7623,
-7596,-7225,-6559,-5629,-4482,-3125,-1686,-149,1360,2841,4195,5392,6388,7136,7582,7749,7573,7068,6252,5179,
3807,2309,668,-1014,-2628,-4161,-5494,-6602,-7410,-7910,-8060,-7881,-7374,-6600,-5534,-4305,-2914,-1417,123,1616,
3057,4350,5492,6354,6977,7321,7337,7006,6393,5433,4252,2813,1248,-411,-2055,-3640,-5071,-6309,-7263,-7918,
-8259,-8250,-7887,-7264,-6341,-5179,-3848,-2389,-872,662,2161,3546,4778,5820,6613,7132,7333,7208,6780,6021,
4977,3691,2214,642,-1023,-2643,-4159,-5483,-6600,-7411,-7920,-8077,-7912,-7429,-6653,-5617,-4369,-2955,-1437,110,
1645,3086,4437,5604,6530,7226,7600,7664,7415,6831,5950,4805,3434,1908,295,-1357,-2926,-4373,-5615,-6587,
-7260,-7632,-7638,-7334,-6691,-5815,-4678,-3347,-1877,-364,1191,2697,4111,5362,6427,7262,7826,8055,7967,7555,
6839,5819,4543,3092,1500,-155,-1793,-3324,-4695,-5831,-6706,-7252,-7456,-7339,-6901,-6155,-5172,-3956,-2587,-1113,
414,1935,3379,4722,5879,6846,7514,7917,8005,7767,7208,6341,5220,3850,2293,657,-1012,-2593,-4098,-5357,
-6405,-7140,-7554,-7647,-7389,-6802,-5969,-4862,-3573,-2150,-647,872,2373,3780,5027,6098,6939,7508,7783,7697,
7304,6622,5626,4393,2940,1354,-291,-1946,-3505,-4892,-6067,-6969,-7546,-7812,-7723,-7329,-6649,-5658,-4480,-3121,
-1642,-120,1417,2877,4219,5414,6404,7128,7584,7702,7519,6995,6165,5058,3745,2228,591,-1030,-2640,-4123,
-5411,-6464,-7216,-7661,-7754,-7505,-6953,-6108,-5049,-3776,-2328,-833,698,2232,3650,4952,6038,6909,7519,7853,
7828,7508,6837,5914,4712,3280,1711,88,-1548,-3101,-4508,-5694,-6635,-7250,-7541,-7483,-7116,-6432,-5480,-4312,
-2963,-1517,20,1555,3033,4394,5608,6607,7353,7834,7994,7830,7346,6547,5485,4165,2680,1051,-611,-2216,
-3723,-5064,-6129,-6936,-7414,-7556,-7395,-6894,-6089,-5062,-3811,-2414,-935,588,2066,3499,4806,5894,6788,7431,
7755,7760,7435,6799,5872,4681,3256,1709,49,-1591,-3190,-4639,-5857,-6818,-7506,-7822,-7844,-7520,-6898,-5966,
-4816,-3498,-2083,-566,960,2432,3785,4986,6011,6788,7282,7479,7334,6887,6109,5058,3767,2284,675,-969,
-2587,-4108,-5451,-6591,-7406,-7923,-8119,-7971,-7480,-6733,-5715,-4510,-3104,-1626,-96,1408,2861,4188,5342,6258,
6927,7306,7361,7068,6503,5603,4458,3063,1521,-95,-1737,-3327,-4763,-6007,-6997,-7679,-8037,-8065,-7754,-7146,
-6227,-5111,-3788,-2356,-840,690,2212,3601,4862,5918,6742,7289,7519,7445,7049,6330,5317,4064,2623,1054,
-596,-2228,-3739,-5098,-6247,-7078,-7626,-7821,-7699,-7262,-6515,-5500,-4300,-2909,-1421,125,1646,3100,4451,5622,
6581,7281,7698,7789,7567,7020,6167,5053,3708,2187,592,-1057,-2644,-4097,-5368,-6384,-7115,-7517,-7564,-7308,
-6730,-5878,-4775,-3484,-2052,-551,994,2491,3926,5185,6252,7119,7690,7949,7914,7526,6849,5854,4610,3169,
1602,-39,-1670,-3205,-4602,-5778,-6660,-7241,-7493,-7399,-6997,-6293,-5335,-4136,-2789,-1327,219,1717,3169,4546,
5734,6710,7426,7859,8007,7804,7277,6474,5374,4042,2521,904,-725,-2331,-3828,-5120,-6158,-6924,-7366,-7486,
-7249,-6695,-5870,-4811,-3526,-2121,-625,889,2395,3828,5092,6203,7073,7678,7970,7939,7591,6936,5976,4774,
3353,1799,156,-1500,-3059,-4471,-5675,-6605,-7213,-7503,-7486,-7128,-6446,-5521,-4360,-3036,-1571,-67,1456,2916,
4273,5475,6485,7220,7681,7834,7669,7188,6369,5289,3990,2463,853,-790,-2410,-3921,-5276,-6359,-7143,-7658,
-7786,-7606,-7110,-6324,-5298,-4056,-2657,-1183,336,1840,3260,4561,5660,6537,7160,7491,7500,7186,6554,5631,
4443,3028,1469,-172,-1826,-3406,-4849,-6057,-7025,-7708,-8040,-8042,-7734,-7110,-6200,-5063,-3742,-2311,-804,728,
2209,3570,4797,5830,6613,7082,7277,7165,6709,5936,4908,3608,2143,538,-1122,-2726,-4235,-5582,-6678,-7496,
-8012,-8210,-8051,-7584,-6817,-5813,-4570,-3193,-1704,-173,1332,2795,4108,5252,6206,6865,7250,7308,7030,6467,
5601,4395,3070,1510,-103,-1739,-3317,-4771,-5988,-6977,-7666,-8023,-8053,-7748,-7148,-6261,-5121,-3819,-2385,-845,
691,2177,3566,4828,5878,6715,7241,7478,7391,7000,6272,5264,4014,2577,988,-625,-2241,-3764,-5119,-6268,
-7124,-7661,-7887,-7756,-7319,-6582,-5591,-4380,-3002,-1523,7,1528,2993,4322,5504,6442,7121,7546,7635,7403,
6864,6013,4892,3532,2005,394,-1250,-2844,-4285,-5566,-6567,-7318,-7730,-7786,-7526,-6962,-6090,-5009,-3713,-2318,
-807,718,2223,3605,4884,5959,6801,7353,7619,7590,7218,6521,5546,4308,2877,1304,-340,-1961,-3513,-4885,
-6079,-6946,-7537,-7790,-7727,-7327,-6617,-5650,-4462,-3098,-1646,-97,1419,2882,4230,5427,6405,7152,7562,7703,
7502,6986,6167,5075,3740,2247,643,-996,-2585,-4064,-5364,-6400,-7162,-7599,-7689,-7467,-6925,-6120,-5040,-3763,
-2359,-866,676,2178,3604,4887,5983,6872,7471,7766,7769,7434,6790,5834,4617,3210,1656,16,-1593,-3152,
-4557,-5755,-6692,-7309,-7592,-7561,-7186,-6519,-5574,-4428,-3104,-1649,-111,1404,2877,4238,5451,6450,7192,7663,
7834,7662,7162,6395,5305,4003,2493,883,-751,-2379,-3885,-5201,-6282,-7092,-7589,-7747,-7551,-7057,-6282,-5236,
-3995,-2599,-1125,396,1901,3332,4611,5718,6615,7243,7560,7571,7252,6649,5691,4523,3118,1569,-59,-1714,
-3278,-4700,-5929,-6898,-7545,-7886,-7891,-7582,-6954,-6036,-4911,-3604,-2164,-649,880,2335,3712,4936,5965,6724,
7246,7449,7324,6870,6126,5074,3810,2335,756,-893,-2502,-4009,-5360,-6448,-7261,-7775,-7939,-7794,-7292,-6541,
-5542,-4303,-2894,-1410,111,1623,3070,4400,5530,6453,7145,7513,7571,7340,6760,5897,4750,3396,1885,286,
-1341,-2892,-4334,-5556,-6531,-7221,-7561,-7569,-7299,-6664,-5771,-4642,-3341,-1904,-373,1165,2648,4066,5325,6385,
7197,7747,7980,7917,7513,6811,5826,4576,3141,1572,-39,-1640,-3157,-4507,-5620,-6472,-7000,-7219,-7099,-6654,
-5876,-4928,-3690,-2335,-857,655,2178,3625,4959,6108,7079,7762,8165,8258,8023,7475,6633,5501,4170,2651,
1038,-605,-2197,-3660,-4926,-5950,-6678,-7079,-7160,-6910,-6374,-5522,-4430,-3177,-1768,-271,1242,2722,4091,5345,
6406,7224,7781,8040,7983,7597,6902,5916,4682,3234,1652,16,-1604,-3163,-4556,-5739,-6634,-7234,-7509,-7432,
-7060,-6377,-5435,-4277,-2936,-1489,8,1503,2956,4285,5454,6399,7111,7545,7641,7455,6933,6105,4989,3646,
2155,555,-1091,-2709,-4159,-5463,-6505,-7277,-7722,-7843,-7625,-7104,-6279,-5231,-3993,-2580,-1111,404,1905,3300,
4605,5680,6561,7156,7453,7447,7122,6453,5517,4324,2933,1378,-263,-1871,-3409,-4803,-5995,-6903,-7509,-7812,
-7795,-7419,-6745,-5815,-4646,-3294,-1860,-335,1175,2649,4005,5222,6223,6991,7456,7642,7465,7000,6229,5173,
3868,2415,821,-804,-2414,-3891,-5191,-6254,-7056,-7534,-7673,-7481,-6996,-6209,-5182,-3927,-2545,-1069,461,1972,
3391,4690,5799,6696,7334,7651,7701,7399,6791,5851,4681,3302,1764,132,-1483,-3041,-4454,-5677,-6625,-7300,
-7607,-7630,-7293,-6666,-5775,-4645,-3347,-1914,-409,1100,2558,3932,5153,6171,6942,7435,7646,7506,7072,6315,
5293,4021,2531,964,-678,-2285,-3803,-5127,-6220,-7053,-7577,-7782,-7621,-7159,-6412,-5401,-4174,-2804,-1339,169,
1692,3136,4432,5562,6499,7151,7521,7566,7303,6734,5846,4722,3353,1835,232,-1406,-2959,-4374,-5631,-6599,
-7274,-7629,-7665,-7388,-6777,-5895,-4801,-3503,-2077,-577,953,2416,3810,5073,6115,6925,7462,7691,7627,7210,
6509,5516,4276,2827,1261,-355,-1963,-3476,-4833,-5953,-6809,-7372,-7583,-7469,-7028,-6306,-5334,-4138,-2773,-1306,
201,1701,3149,4475,5625,6570,7260,7650,7744,7519,6980,6124,5000,3654,2160,555,-1099,-2664,-4126,-5396,
-6429,-7167,-7570,-7655,-7413,-6851,-6023,-4948,-3689,-2295,-813,701,2168,3552,4801,5872,6687,7225,7480,7431,
7047,6341,5357,4145,2695,1124,-494,-2125,-3678,-5049,-6214,-7112,-7711,-7977,-7932,-7539,-6862,-5933,-4753,-3440,
-1998,-501,990,2445,3773,4945,5918,6620,7057,7179,6981,6472,5655,4553,3252,1760,183,-1460,-3069,-4529,
-5800,-6853,-7589,-8033,-8150,-7934,-7385,-6585,-5506,-4247,-2850,-1346,165,1676,3079,4343,5471,6342,6934,7256,
7258,6946,6309,5388,4216,2829,1286,-296,-1903,-3436,-4807,-5979,-6888,-7493,-7779,-7706,-7348,-6672,-5731,-4571,
-3231,-1775,-251,1277,2758,4133,5347,6342,7114,7605,7776,7647,7189,6426,5380,4097,2645,1070,-543,-2127,
-3578,-4885,-5938,-6714,-7196,-7327,-7142,-6641,-5825,-4811,-3559,-2190,-699,815,2322,3743,5068,6178,7063,7695,
8024,8060,7776,7153,6249,5091,3720,2166,525,-1077,-2633,-4065,-5262,-6222,-6881,-7220,-7254,-6923,-6313,-5417,
-4297,-2993,-1572,-81,1407,2863,4238,5467,6453,7229,7720,7915,7766,7310,6566,5531,4240,2776,1182,-436,
-2055,-3566,-4910,-6032,-6891,-7401,-7586,-7454,-7015,-6286,-5301,-4086,-2745,-1274,232,1727,3152,4441,5574,6495,
7139,7487,7562,7284,6705,5811,4656,3315,1776,153,-1479,-3040,-4466,-5711,-6706,-7406,-7774,-7821,-7514,-6933,
-6070,-4972,-3681,-2263,-754,743,2239,3615,4855,5906,6700,7244,7489,7391,7013,6306,5317,4061,2631,1062,
-539,-2157,-3663,-5023,-6149,-6997,-7558,-7781,-7667,-7227,-6504,-5517,-4308,-2950,-1484,37,1555,3002,4326,5505,
6443,7155,7545,7643,7429,6900,6050,4943,3606,2122,514,-1111,-2686,-4125,-5401,-6399,-7123,-7531,-7608,-7351,
-6797,-5947,-4875,-3593,-2199,-699,816,2297,3681,4955,6017,6855,7418,7682,7630,7240,6563,5581,4368,2927,
1400,-245,-1858,-3399,-4790,-5944,-6847,-7449,-7702,-7648,-7252,-6574,-5640,-4470,-3118,-1705,-182,1328,2768,4086,
5258,6227,6962,7368,7510,7307,6799,5977,4864,3558,2062,451,-1173,-2753,-4246,-5540,-6591,-7362,-7811,-7931,
-7717,-7179,-6383,-5318,-4100,-2693,-1214,307,1791,3212,4469,5578,6437,7023,7308,7312,6967,6333,5394,4216,
2794,1254,-369,-1968,-3520,-4899,-6084,-6996,-7635,-7927,-7891,-7530,-6863,-5949,-4774,-3452,-2008,-507,1001,2474,
3823,5026,6038,6791,7287,7456,7290,6838,6063,5019,3740,2265,704,-925,-2506,-3979,-5266,-6358,-7130,-7599,
-7750,-7569,-7078,-6287,-5246,-4008,-2623,-1130,386,1886,3305,4608,5726,6604,7251,7595,7622,7327,6722,5824,
4683,3290,1783,171,-1439,-2975,-4402,-5592,-6527,-7189,-7535,-7514,-7203,-6569,-5671,-4548,-3244,-1790,-304,1220,
2691,4074,5281,6297,7082,7592,7778,7684,7238,6497,5477,4191,2746,1188,-448,-2046,-3539,-4876,-5970,-6795,
-7319,-7490,-7366,-6912,-6149,-5152,-3948,-2587,-1148,397,1904,3298,4632,5758,6677,7312,7678,7740,7497,6887,
6028,4885,3553,2023,422,-1215,-2776,-4218,-5452,-6436,-7126,-7501,-7551,-7277,-6676,-5835,-4725,-3442,-2017,-531,
964,2438,3834,5053,6088,6901,7414,7663,7567,7149,6439,5436,4187,2774,1203,-418,-2030,-3548,-4895,-6011,
-6890,-7424,-7649,-7535,-7133,-6426,-5437,-4250,-2925,-1462,53,1557,2994,4308,5473,6418,7090,7511,7596,7371,
6836,5980,4881,3564,2050,439,-1161,-2737,-4175,-5453,-6462,-7183,-7585,-7658,-7413,-6836,-6011,-4940,-3683,-2268,
-784,725,2212,3608,4865,5916,6748,7319,7594,7535,7170,6506,5544,4327,2903,1367,-242,-1850,-3361,-4720,
-5883,-6775,-7359,-7607,-7544,-7156,-6476,-5511,-4352,-3009,-1572,-61,1448,2894,4231,5414,6392,7116,7534,7671,
7489,6991,6172,5096,3788,2319,718,-894,-2476,-3934,-5230,-6235,-7015,-7443,-7584,-7370,-6852,-6027,-4986,-3738,
-2349,-861,656,2128,3545,4823,5898,6775,7376,7665,7657,7305,6668,5732,4544,3151,1632,17,-1604,-3143,
-4533,-5709,-6616,-7238,-7537,-7521,-7155,-6500,-5576,-4439,-3106,-1679,-178,1339,2790,4136,5322,6315,7062,7523,
7686,7558,7041,6274,5217,3937,2500,910,-723,-2303,-3781,-5078,-6167,-6958,-7430,-7586,-7417,-6931,-6152,-5123,
-3897,-2534,-1048,461,1947,3381,4658,5772,6648,7269,7597,7625,7324,6725,5807,4659,3270,1734,130,-1478,
-3053,-4443,-5651,-6594,-7259,-7605,-7615,-7297,-6675,-5769,-4661,-3362,-1943,-450,1053,2536,3881,5095,6126,6900,
7397,7586,7469,7024,6279,5255,4004,2545,975,-652,-2247,-3732,-5057,-6171,-6987,-7523,-7698,-7575,-7114,-6390,
-5376,-4182,-2830,-1368,135,1631,3041,4346,5493,6377,7040,7404,7444,7178,6607,5740,4595,3243,1735,126,
-1470,-3035,-4479,-5715,-6700,-7394,-7788,-7822,-7547,-6961,-6114,-5018,-3738,-2329,-850,660,2136,3519,4741,5776,
6585,7121,7331,7264,6850,6141,5149,3904,2469,925,-698,-2295,-3804,-5143,-6276,-7137,-7683,-7897,-7808,-7383,
-6664,-5688,-4501,-3171,-1714,-201,1287,2720,4056,5210,6144,6831,7220,7350,7125,6575,5764,4672,3349,1842,
265,-1344,-2894,-4349,-5593,-6597,-7301,-7717,-7792,-7525,-6956,-6123,-5028,-3771,-2350,-859,661,2138,3562,4802,
5881,6727,7295,7564,7522,7171,6504,5555,4355,2964,1424,-160,-1767,-3268,-4623,-5757,-6637,-7203,-7459,-7381,
-7002,-6310,-5357,-4174,-2849,-1389,116,1626,3072,4423,5602,6582,7298,7736,7881,7699,7203,6409,5325,4024,
2559,992,-622,-2177,-3635,-4905,-5937,-6692,-7136,-7246,-7013,-6487,-5682,-4645,-3397,-2003,-529,981,2468,3869,
5135,6216,7087,7695,7981,7960,7653,7004,6076,4900,3499,1972,383,-1250,-2758,-4152,-5333,-6239,-6883,-7174,
-7146,-6803,-6164,-5245,-4105,-2803,-1373,121,1620,3071,4418,5607,6588,7328,7782,7936,7785,7313,6543,5493,
4207,2735,1152,-464,-2038,-3515,-4850,-5898,-6709,-7180,-7369,-7184,-6715,-5931,-4929,-3705,-2345,-883,616,2077,
3489,4775,5885,6762,7391,7713,7732,7427,6813,5920,4749,3364,1841,246,-1367,-2927,-4361,-5556,-6519,-7174,
-7522,-7517,-7210,-6619,-5736,-4629,-3327,-1935,-426,1066,2527,3852,5076,6084,6852,7332,7540,7419,6980,6227,
5192,3931,2497,924,-686,-2289,-3790,-5122,-6229,-7067,-7578,-7798,-7653,-7191,-6483,-5491,-4298,-2947,-1496,3,
1486,2913,4199,5321,6228,6866,7238,7288,7024,6446,5570,4435,3072,1553,-52,-1658,-3238,-4649,-5872,-6866,
-7563,-7962,-8008,-7726,-7152,-6302,-5219,-3934,-2547,-1077,422,1900,3269,4490,5540,6319,6859,7071,7001,6592,
5870,4887,3652,2222,667,-955,-2562,-4059,-5416,-6548,-7401,-7972,-8185,-8101,-7689,-6978,-6011,-4846,-3479,-2040,
-532,952,2380,3691,4846,5759,6476,6880,6953,6741,6196,5356,4272,2941,1463,-124,-1725,-3293,-4751,-5989,
-6990,-7712,-8115,-8193,-7963,-7394,-6567,-5512,-4231,-2829,-1329,184,1661,3058,4319,5387,6218,6791,7067,7036,
6683,6004,5061,3843,2453,931,-679,-2253,-3765,-5115,-6262,-7156,-7733,-7958,-7922,-7517,-6835,-5891,-4728,-3399,
-1957,-436,1055,2506,3857,5039,6011,6722,7163,7318,7130,6628,5857,4782,3493,2025,449,-1136,-2700,-4161,
-5416,-6445,-7174,-7620,-7734,-7530,-7000,-6211,-5128,-3894,-2488,-1029,479,1976,3385,4647,5747,6610,7216,7512,
7502,7190,6564,5638,4475,3100,1594,-16,-1614,-3129,-4505,-5667,-6592,-7204,-7497,-7456,-7116,-6476,-5539,-4406,
-3095,-1657,-150,1342,2813,4137,5339,6340,7072,7560,7721,7573,7114,6340,5301,4043,2581,1025,-572,-2135,
-3613,-4911,-5970,-6734,-7215,-7369,-7197,-6703,-5921,-4923,-3696,-2319,-853,648,2148,3550,4861,5949,6826,7467,
7808,7846,7570,6957,6068,4906,3538,2053,461,-1144,-2674,-4078,-5263,-6229,-6885,-7215,-7228,-6930,-6292,-5406,
-4283,-2995,-1588,-101,1429,2875,4243,5458,6468,7246,7728,7935,7837,7398,6663,5674,4406,2969,1406,-192,
-1779,-3258,-4595,-5664,-6506,-7005,-7208,-7079,-6620,-5887,-4902,-3681,-2341,-879,604,2087,3534,4841,5943,6870,
7520,7901,7961,7656,7117,6238,5117,3769,2269,675,-920,-2466,-3907,-5113,-6110,-6806,-7164,-7234,-6946,-6384,
-5537,-4438,-3167,-1784,-275,1225,2687,4046,5255,6305,7101,7623,7864,7775,7389,6657,5677,4446,3039,1468,
-119,-1713,-3203,-4558,-5688,-6547,-7099,-7337,-7245,-6849,-6114,-5169,-4004,-2668,-1201,277,1781,3215,4537,5663,
6590,7280,7688,7765,7534,7009,6177,5069,3733,2263,662,-931,-2506,-3935,-5179,-6193,-6927,-7342,-7428,-7185,
-6653,-5816,-4769,-3514,-2139,-674,816,2313,3673,4927,5981,6813,7367,7621,7568,7220,6527,5573,4356,2953,
1417,-209,-1803,-3307,-4686,-5859,-6736,-7322,-7591,-7552,-7179,-6489,-5576,-4434,-3087,-1672,-181,1313,2744,4055,
5230,6178,6873,7311,7443,7243,6715,5914,4838,3518,2047,480,-1128,-2724,-4190,-5448,-6494,-7263,-7716,-7838,
-7639,-7131,-6371,-5335,-4109,-2728,-1270,236,1712,3098,4339,5416,6286,6850,7140,7139,6806,6156,5230,4030,
2653,1124,-487,-2069,-3597,-4983,-6177,-7109,-7710,-8014,-8010,-7649,-7009,-6120,-4980,-3698,-2258,-760,704,2177,
3525,4706,5679,6417,6878,7073,6906,6431,5667,4636,3357,1901,330,-1276,-2841,-4302,-5604,-6695,-7460,-7953,
-8114,-7940,-7444,-6697,-5674,-4446,-3066,-1615,-121,1365,2793,4059,5169,6060,6672,7025,7036,6752,6158,5265,
4133,2776,1281,-322,-1929,-3443,-4834,-6031,-6967,-7630,-7957,-7958,-7663,-7049,-6161,-5060,-3770,-2336,-850,649,
2090,3452,4674,5684,6460,6981,7167,7051,6631,5890,4896,3647,2210,659,-939,-2516,-4004,-5318,-6412,-7214,
-7728,-7917,-7782,-7326,-6575,-5599,-4400,-3030,-1580,-79,1420,2841,4159,5253,6165,6829,7203,7273,7025,6460,
5614,4480,3133,1672,75,-1520,-3049,-4465,-5694,-6659,-7346,-7713,-7759,-7501,-6897,-6032,-4943,-3692,-2282,-776,
732,2182,3582,4815,5842,6647,7179,7422,7354,6960,6258,5280,4056,2647,1097,-496,-2060,-3548,-4891,-6001,
-6833,-7394,-7590,-7501,-7065,-6364,-5408,-4219,-2873,-1436,85,1569,3020,4325,5468,6438,7119,7523,7629,7401,
6878,6054,4965,3657,2168,606,-1005,-2559,-3993,-5231,-6243,-6942,-7339,-7414,-7170,-6627,-5806,-4724,-3486,-2096,
-594,918,2387,3757,5010,6081,6925,7465,7746,7703,7353,6678,5726,4535,3145,1596,18,-1572,-3065,-4444,
-5583,-6446,-7042,-7315,-7250,-6872,-6180,-5272,-4129,-2792,-1339,143,1657,3102,4427,5608,6551,7268,7697,7822,
7644,7161,6363,5301,3983,2539,971,-634,-2193,-3630,-4927,-5948,-6702,-7154,-7273,-7057,-6569,-5760,-4727,-3500,
-2124,-656,851,2341,3723,5000,6083,6938,7536,7832,7810,7500,6849,5944,4772,3404,1888,282,-1325,-2836,
-4208,-5371,-6286,-6900,-7205,-7197,-6835,-6195,-5281,-4157,-2833,-1412,81,1569,3013,4378,5551,6529,7293,7754,
7926,7765,7309,6541,5495,4230,2796,1241,-356,-1929,-3405,-4686,-5735,-6549,-7016,-7184,-7010,-6528,-5762,-4748,
-3527,-2164,-712,800,2292,3686,4953,6077,6950,7567,7905,7948,7638,7035,6140,4980,3644,2134,536,-1058,
-2603,-3991,-5179,-6135,-6768,-7119,-7128,-6812,-6229,-5331,-4238,-2961,-1551,-52,1424,2894,4235,5453,6449,7193,
7689,7904,7773,7327,6601,5582,4333,2887,1324,-269,-1864,-3346,-4644,-5750,-6570,-7110,-7315,-7174,-6754,-6025,
-5024,-3819,-2481,-1043,438,1932,3345,4625,5759,6669,7309,7652,7707,7442,6885,5999,4886,3549,2049,451,
-1153,-2692,-4102,-5341,-6323,-7008,-7385,-7437,-7185,-6619,-5759,-4695,-3422,-2023,-541,940,2379,3750,4977,6005,
6781,7335,7557,7486,7071,6366,5381,4163,2726,1185,-407,-1998,-3498,-4851,-5967,-6812,-7382,-7615,-7514,-7112,
-6435,-5486,-4321,-2989,-1553,-70,1411,2851,4143,5280,6206,6880,7270,7357,7145,6599,5781,4672,3338,1871,
290,-1348,-2870,-4298,-5562,-6599,-7306,-7728,-7821,-7597,-7046,-6235,-5189,-3948,-2566,-1111,391,1831,3235,4450,
5499,6306,6871,7114,7042,6691,6024,5067,3862,2480,923,-675,-2240,-3761,-5117,-6258,-7149,-7731,-8014,-7967,
-7585,-6924,-6014,-4865,-3560,-2119,-648,824,2276,3607,4742,5713,6422,6860,6981,6792,6296,5501,4427,3152,
1663,121,-1492,-3052,-4496,-5758,-6797,-7538,-7983,-8102,-7904,-7391,-6596,-5550,-4332,-2955,-1475,14,1502,2893,
4134,5236,6093,6682,6994,7000,6675,6043,5128,3971,2610,1085,-480,-2049,-3562,-4945,-6093,-6993,-7602,-7913,
-7869,-7530,-6862,-5956,-4825,-3519,-2081,-607,899,2357,3691,4886,5880,6630,7114,7276,7143,6693,5942,4923,
3653,2219,684,-911,-2458,-3901,-5189,-6226,-7011,-7484,-7625,-7454,-6964,-6184,-5179,-3957,-2595,-1134,369,1859,
3271,4560,5674,6571,7169,7518,7568,7301,6694,5807,4665,3341,1841,261,-1315,-2839,-4226,-5412,-6341,-6999,
-7334,-7342,-7034,-6420,-5532,-4445,-3148,-1730,-256,1226,2692,4037,5235,6248,7033,7527,7726,7607,7173,6444,
5454,4204,2802,1233,-341,-1933,-3397,-4705,-5801,-6633,-7138,-7339,-7195,-6769,-6059,-5059,-3885,-2557,-1091,390,
1871,3283,4549,5679,6596,7233,7603,7665,7420,6845,5977,4852,3525,2027,458,-1122,-2673,-4067,-5320,-6288,
-6980,-7359,-7416,-7138,-6572,-5736,-4665,-3415,-2015,-542,925,2384,3734,4966,5970,6748,7266,7521,7425,7026,
6331,5361,4125,2718,1174,-412,-1988,-3479,-4809,-5953,-6789,-7371,-7603,-7498,-7104,-6418,-5456,-4317,-2982,-1576,
-84,1392,2812,4106,5246,6181,6849,7231,7315,7105,6569,5709,4649,3327,1861,278,-1323,-2876,-4291,-5556,
-6546,-7256,-7683,-7786,-7573,-7038,-6209,-5176,-3930,-2545,-1090,391,1839,3215,4455,5490,6315,6884,7128,7095,
6722,6050,5103,3899,2503,995,-604,-2174,-3700,-5052,-6182,-7076,-7653,-7918,-7872,-7486,-6825,-5911,-4759,-3463,
-2045,-556,925,2344,3668,4822,5788,6502,6919,7064,6888,6388,5604,4524,3260,1816,244,-1360,-2880,-4342,
-5581,-6632,-7368,-7808,-7926,-7719,-7225,-6434,-5391,-4185,-2808,-1345,150,1633,3023,4293,5360,6224,6805,7119,
7132,6797,6183,5279,4107,2745,1235,-339,-1903,-3423,-4764,-5921,-6820,-7442,-7751,-7722,-7368,-6733,-5825,-4688,
-3385,-1968,-489,1010,2457,3799,4996,6000,6756,7221,7389,7249,6809,6057,5022,3775,2350,824,-773,-2329,
-3783,-5052,-6096,-6858,-7333,-7472,-7310,-6831,-6073,-5048,-3837,-2457,-1017,501,1984,3391,4658,5792,6657,7303,
7641,7685,7397,6805,5934,4820,3476,1991,431,-1156,-2644,-4047,-5229,-6171,-6805,-7141,-7143,-6837,-6214,-5340,
-4257,-2952,-1542,-54,1449,2893,4260,5444,6471,7242,7758,7953,7843,7410,6694,5687,4443,3036,1496,-109,
-1669,-3115,-4424,-5527,-6341,-6855,-7042,-6916,-6482,-5739,-4784,-3580,-2238,-806,685,2163,3570,4863,5994,6891,
7529,7893,7954,7699,7127,6283,5165,3843,2344,753,-819,-2358,-3792,-5012,-5982,-6660,-7058,-7115,-6859,-6283,
-5452,-4387,-3129,-1741,-267,1194,2641,4015,5203,6240,7024,7546,7755,7672,7261,6566,5585,4358,2969,1418,
-167,-1760,-3262,-4575,-5693,-6580,-7119,-7363,-7276,-6888,-6207,-5249,-4096,-2795,-1360,119,1593,3005,4287,5436,
6365,7025,7425,7503,7293,6751,5920,4831,3528,2034,473,-1106,-2662,-4080,-5338,-6344,-7063,-7470,-7577,-7330,
-6809,-5983,-4964,-3722,-2340,-863,582,2063,3425,4669,5716,6525,7092,7366,7294,6955,6292,5360,4158,2759,
1253,-321,-1907,-3395,-4736,-5880,-6777,-7357,-7610,-7554,-7192,-6513,-5592,-4450,-3124,-1721,-229,1256,2677,4010,
5174,6123,6849,7268,7409,7220,6737,5930,4893,3601,2168,596,-977,-2518,-3967,-5223,-6246,-6997,-7427,-7576,
-7384,-6894,-6103,-5071,-3846,-2482,-1035,459,1916,3309,4581,5641,6486,7087,7391,7359,7033,6401,5501,4328,
2949,1435,-127,-1710,-3230,-4602,-5747,-6675,-7307,-7604,-7604,-7259,-6631,-5763,-4621,-3348,-1925,-451,1030,2452,
3775,4942,5927,6648,7101,7264,7105,6652,5880,4838,3584,2143,592,-1010,-2580,-4038,-5322,-6398,-7194,-7662,
-7841,-7692,-7219,-6475,-5472,-4280,-2945,-1495,-1,1448,2860,4117,5222,6089,6695,7022,7054,6752,6181,5272,
4142,2780,1284,-289,-1848,-3399,-4773,-5965,-6903,-7559,-7906,-7925,-7600,-7028,-6145,-5035,-3764,-2360,-894,607,
2059,3407,4607,5628,6394,6906,7098,6977,6559,5846,4831,3617,2195,675,-932,-2474,-3937,-5221,-6335,-7126,
-7629,-7821,-7706,-7267,-6531,-5543,-4370,-3016,-1580,-74,1398,2808,4117,5238,6147,6810,7174,7239,6999,6439,
5598,4493,3185,1717,156,-1423,-2944,-4357,-5556,-6503,-7201,-7574,-7588,-7334,-6761,-5923,-4849,-3575,-2167,-688,
820,2268,3664,4868,5902,6709,7234,7469,7414,7010,6324,5340,4134,2737,1215,-379,-1934,-3404,-4716,-5827,
-6693,-7233,-7450,-7369,-6954,-6247,-5320,-4158,-2821,-1392,95,1569,2989,4306,5457,6379,7038,7452,7558,7324,
6795,5990,4904,3606,2128,564,-1022,-2570,-3986,-5214,-6217,-6940,-7351,-7441,-7207,-6665,-5870,-4811,-3577,-2189,
-731,760,2221,3608,4833,5883,6723,7275,7533,7485,7114,6462,5528,4323,2969,1439,-126,-1714,-3207,-4543,
-5683,-6578,-7146,-7417,-7368,-7003,-6339,-5405,-4254,-2954,-1523,-44,1459,2873,4204,5361,6330,7026,7486,7611,
7431,6936,6148,5101,3822,2392,843,-736,-2279,-3708,-4977,-5992,-6714,-7165,-7282,-7072,-6552,-5780,-4764,-3534,
-2158,-705,777,2260,3664,4936,5994,6850,7449,7767,7751,7445,6832,5945,4769,3410,1917,349,-1230,-2710,
-4071,-5208,-6125,-6742,-7049,-7010,-6677,-6035,-5143,-4015,-2709,-1312,185,1696,3118,4447,5639,6619,7362,7818,
7980,7856,7381,6629,5628,4359,2955,1396,-173,-1721,-3170,-4457,-5491,-6273,-6755,-6921,-6767,-6294,-5536,-4542,
-3348,-1998,-541,944,2406,3786,5068,6142,7037,7661,7994,8005,7714,7116,6249,5083,3754,2272,697,-895,
-2409,-3819,-4965,-5909,-6572,-6894,-6935,-6630,-6055,-5198,-4111,-2841,-1460,16,1483,2936,4239,5451,6444,7204,
7672,7885,7742,7325,6586,5584,4331,2932,1360,-211,-1789,-3244,-4567,-5670,-6496,-7014,-7236,-7114,-6687,-5965,
-5013,-3848,-2533,-1100,353,1823,3224,4499,5594,6474,7112,7475,7531,7248,6690,5812,4709,3379,1887,318,
-1279,-2817,-4209,-5444,-6405,-7107,-7492,-7558,-7298,-6748,-5913,-4867,-3619,-2248,-790,682,2130,3467,4678,5697,
6496,6998,7230,7141,6762,6061,5080,3870,2472,947,-659,-2224,-3699,-5025,-6151,-6982,-7533,-7762,-7704,-7307,
-6609,-5678,-4540,-3207,-1799,-312,1153,2562,3845,4992,5909,6593,6976,7078,6849,6304,5494,4427,3109,1667,
110,-1473,-3012,-4435,-5669,-6638,-7386,-7782,-7874,-7639,-7123,-6324,-5269,-4028,-2666,-1198,286,1736,3118,4342,
5393,6220,6767,7036,7001,6632,5987,5035,3864,2494,978,-610,-2158,-3643,-4982,-6117,-7000,-7596,-7838,-7789,
-7408,-6742,-5830,-4702,-3408,-1973,-494,975,2407,3729,4880,5837,6533,6974,7112,6923,6422,5657,4600,3343,
1887,341,-1224,-2762,-4191,-5434,-6460,-7187,-7642,-7767,-7559,-7050,-6277,-5252,-4029,-2655,-1210,272,1746,3129,
4373,5455,6309,6918,7193,7198,6882,6266,5350,4215,2872,1388,-205,-1760,-3255,-4608,-5771,-6668,-7279,-7576,
-7556,-7239,-6596,-5707,-4586,-3306,-1886,-410,1074,2505,3840,5024,6015,6741,7229,7391,7251,6803,6046,5035,
3782,2354,838,-736,-2264,-3727,-5013,-6049,-6821,-7295,-7443,-7297,-6805,-6064,-5069,-3872,-2501,-1070,424,1896,
3271,4552,5642,6526,7165,7485,7497,7236,6641,5762,4632,3307,1827,274,-1320,-2806,-4193,-5366,-6329,-6971,
-7312,-7319,-7034,-6442,-5572,-4475,-3202,-1817,-354,1140,2575,3923,5120,6134,6893,7379,7572,7484,7042,6300,
5333,4077,2682,1151,-444,-1982,-3430,-4739,-5821,-6646,-7163,-7367,-7252,-6807,-6102,-5153,-3977,-2640,-1186,260,
1717,3144,4415,5533,6405,7054,7436,7467,7212,6657,5813,4688,3382,1899,351,-1236,-2752,-4170,-5371,-6353,
-7043,-7420,-7474,-7206,-6658,-5830,-4770,-3510,-2144,-672,794,2246,3591,4809,5830,6623,7139,7388,7290,6897,
6204,5237,4036,2639,1127,-438,-2017,-3478,-4808,-5920,-6769,-7305,-7554,-7460,-7065,-6393,-5438,-4292,-2976,-1543,
-80,1397,2816,4111,5253,6177,6854,7232,7334,7114,6598,5769,4691,3378,1936,369,-1207,-2742,-4139,-5378,
-6384,-7113,-7511,-7606,-7381,-6884,-6053,-5029,-3796,-2446,-979,487,1956,3315,4549,5586,6399,6962,7224,7181,
6826,6159,5209,4032,2663,1145,-448,-1998,-3486,-4847,-5978,-6827,-7441,-7697,-7670,-7311,-6647,-5745,-4627,-3305,
-1882,-414,1051,2470,3780,4937,5881,6593,7016,7145,6941,6449,5673,4650,3341,1913,377,-1211,-2734,-4188,
-5445,-6464,-7216,-7661,-7771,-7591,-7096,-6326,-5315,-4092,-2734,-1290,222,1672,3059,4297,5358,6225,6817,7099,
7118,6793,6181,5270,4120,2779,1291,-286,-1845,-3344,-4680,-5843,-6753,-7356,-7649,-7658,-7293,-6670,-5771,-4659,
-3373,-1965,-469,996,2438,3770,4964,5959,6695,7150,7327,7181,6738,6007,4993,3761,2321,803,-749,-2307,
-3737,-4989,-6043,-6812,-7297,-7445,-7272,-6804,-6074,-5052,-3846,-2503,-1058,410,1889,3297,4559,5670,6546,7174,
7497,7509,7250,6663,5774,4681,3352,1881,326,-1246,-2747,-4104,-5302,-6226,-6867,-7200,-7226,-6923,-6329,-5476,
-4386,-3118,-1723,-252,1237,2661,4004,5200,6192,6983,7467,7657,7552,7109,6399,5415,4184,2778,1257,-332,
-1878,-3328,-4621,-5692,-6519,-7050,-7238,-7125,-6689,-5975,-5022,-3867,-2521,-1106,372,1843,3225,4516,5606,6493,
7150,7504,7558,7323,6765,5927,4797,3480,2013,463,-1129,-2628,-4043,-5248,-6235,-6918,-7297,-7354,-7114,-6545,
-5733,-4648,-3415,-2054,-611,883,2314,3675,4880,5900,6680,7211,7419,7362,6964,6289,5336,4118,2717,1206,
-365,-1907,-3397,-4684,-5771,-6628,-7162,-7427,-7332,-6941,-6256,-5331,-4172,-2867,-1441,19,1490,2905,4199,5330,
6278,6943,7360,7434,7213,6693,5895,4805,3539,2075,528,-1037,-2580,-3989,-5204,-6203,-6920,-7313,-7417,-7187,
-6674,-5877,-4825,-3618,-2263,-811,673,2119,3468,4690,5750,6549,7107,7387,7331,6979,6314,5382,4208,2834,
1344,-230,-1805,-3273,-4627,-5760,-6622,-7219,-7511,-7441,-7092,-6439,-5527,-4428,-3125,-1697,-250,1221,2646,3951,
5100,6037,6741,7170,7280,7113,6623,5837,4784,3510,2065,536,-1055,-2588,-3994,-5270,-6282,-7058,-7499,-7632,
-7444,-6968,-6175,-5161,-3957,-2618,-1172,307,1775,3122,4389,5466,6317,6874,7161,7166,6859,6213,5324,4155,
2817,1319,-241,-1804,-3294,-4655,-5809,-6702,-7314,-7622,-7619,-7291,-6652,-5767,-4661,-3355,-1961,-487,971,2410,
3747,4927,5904,6651,7108,7282,7139,6684,5944,4934,3673,2292,756,-794,-2345,-3778,-5051,-6090,-6871,-7341,
-7501,-7339,-6878,-6140,-5130,-3929,-2588,-1145,341,1809,3213,4480,5580,6463,7066,7429,7452,7171,6594,5713,
4608,3279,1801,254,-1287,-2787,-4141,-5336,-6264,-6905,-7227,-7245,-6938,-6338,-5474,-4409,-3150,-1738,-270,1201,
2643,3991,5196,6192,6958,7457,7661,7546,7153,6439,5454,4238,2812,1304,-249,-1800,-3256,-4535,-5609,-6437,
-6948,-7155,-6999,-6581,-5892,-4935,-3759,-2414,-1000,471,1936,3323,4582,5723,6608,7277,7620,7661,7426,6866,
6023,4916,3604,2158,601,-963,-2476,-3868,-5099,-6059,-6746,-7123,-7180,-6935,-6394,-5547,-4526,-3270,-1896,-443,
1027,2433,3783,5002,6024,6805,7341,7541,7470,7062,6373,5415,4223,2812,1323,-258,-1804,-3292,-4615,-5713,
-6571,-7128,-7343,-7275,-6881,-6210,-5298,-4126,-2820,-1434,38,1505,2915,4199,5312,6229,6899,7294,7399,7185,
6659,5829,4740,3461,2006,455,-1107,-2636,-4052,-5281,-6279,-7002,-7402,-7517,-7299,-6770,-5966,-4947,-3720,-2362,
-917,554,1991,3366,4609,5603,6412,6965,7237,7188,6816,6182,5259,4074,2681,1204,-371,-1925,-3394,-4736,
-5878,-6744,-7332,-7613,-7573,-7215,-6565,-5668,-4538,-3246,-1836,-389,1090,2513,3815,4952,5908,6598,7036,7157,
6973,6482,5713,4646,3387,1976,430,-1144,-2699,-4095,-5348,-6411,-7114,-7568,-7693,-7526,-7045,-6276,-5266,-4064,
-2697,-1259,206,1663,3032,4270,5339,6193,6773,7088,7067,6761,6130,5229,4100,2751,1248,-283,-1852,-3324,
-4699,-5869,-6745,-7371,-7692,-7663,-7334,-6727,-5851,-4750,-3474,-2063,-624,879,2309,3637,4791,5760,6490,6973,
7125,6995,6557,5810,4784,3543,2113,616,-943,-2491,-3905,-5173,-6216,-6989,-7476,-7620,-7456,-7020,-6265,-5273,
-4069,-2724,-1305,195,1648,3049,4337,5430,6313,6929,7255,7288,7018,6425,5581,4466,3154,1682,133,-1414,
-2889,-4284,-5427,-6356,-6986,-7333,-7360,-7057,-6442,-5595,-4505,-3229,-1838,-361,1105,2541,3917,5094,6098,6880,
7379,7593,7469,7055,6361,5383,4172,2803,1294,-270,-1827,-3263,-4529,-5596,-6418,-6918,-7117,-6996,-6550,-5841,
-4877,-3701,-2392,-939,519,2016,3394,4688,5793,6710,7352,7711,7788,7546,6987,6131,5058,3770,2286,754,
-812,-2325,-3713,-4917,-5879,-6550,-6931,-7008,-6722,-6195,-5353,-4314,-3074,-1695,-245,1213,2662,4012,5212,6238,
6995,7521,7779,7653,7294,6597,5643,4441,3051,1539,-16,-1582,-3042,-4368,-5464,-6306,-6849,-7113,-7020,-6650,
-5956,-5043,-3892,-2601,-1185,272,1744,3139,4434,5573,6480,7170,7537,7635,7432,6906,6091,5027,3748,2303,
743,-824,-2334,-3741,-4983,-5954,-6677,-7095,-7206,-6993,-6463,-5670,-4645,-3419,-2049,-589,866,2302,3659,4895,
5942,6748,7304,7588,7529,7157,6524,5602,4409,3052,1558,15,-1545,-3034,-4369,-5482,-6357,-6971,-7212,-7173,
-6814,-6173,-5280,-4144,-2861,-1458,22,1478,2898,4194,5336,6288,7000,7409,7542,7368,6890,6110,5061,3786,
2364,828,-729,-2269,-3663,-4912,-5961,-6713,-7150,-7276,-7111,-6616,-5875,-4861,-3665,-2319,-876,588,2013,3418,
4647,5707,6535,7112,7406,7413,7062,6459,5552,4419,3051,1550,-13,-1572,-3070,-4412,-5566,-6487,-7128,-7439,
-7436,-7115,-6511,-5651,-4542,-3294,-1900,-459,1014,2435,3741,4914,5887,6603,7046,7190,7031,6580,5805,4792,
3557,2131,611,-973,-2527,-3949,-5233,-6300,-7062,-7548,-7732,-7582,-7151,-6428,-5436,-4256,-2927,-1501,-30,1407,
2792,4049,5132,5994,6608,6937,6980,6674,6094,5203,4099,2767,1289,-265,-1805,-3315,-4696,-5881,-6816,-7460,
-7813,-7845,-7556,-6957,-6106,-5042,-3769,-2377,-943,577,2004,3359,4512,5520,6272,6786,6969,6871,6442,5745,
4749,3528,2145,641,-956,-2458,-3896,-5192,-6260,-7075,-7593,-7779,-7667,-7227,-6499,-5542,-4369,-3040,-1632,-131,
1312,2717,4018,5127,6032,6672,7034,7113,6872,6322,5494,4401,3123,1659,119,-1438,-2942,-4326,-5504,-6484,
-7143,-7530,-7589,-7339,-6755,-5948,-4884,-3645,-2241,-785,666,2097,3482,4673,5695,6501,7027,7242,7164,6785,
6104,5148,3958,2599,1093,-480,-2022,-3487,-4779,-5868,-6731,-7250,-7484,-7406,-7030,-6338,-5397,-4248,-2965,-1540,
-39,1412,2809,4093,5243,6164,6821,7234,7325,7113,6597,5799,4732,3443,2006,465,-1076,-2597,-3975,-5211,
-6217,-6898,-7324,-7432,-7197,-6671,-5872,-4847,-3642,-2260,-834,638,2092,3466,4670,5710,6509,7072,7350,7287,
6975,6322,5388,4206,2854,1367,-163,-1740,-3202,-4532,-5645,-6515,-7102,-7394,-7325,-6980,-6313,-5409,-4289,-3001,
-1611,-157,1337,2739,4046,5195,6144,6846,7261,7391,7219,6727,5956,4919,3660,2247,713,-842,-2367,-3778,
-5035,-6037,-6791,-7242,-7376,-7195,-6705,-5953,-4943,-3740,-2403,-945,489,1947,3305,4558,5616,6467,7039,7346,
7326,7008,6396,5501,4369,3006,1533,-27,-1557,-3063,-4399,-5538,-6443,-7080,-7371,-7368,-7049,-6451,-5573,-4466,
-3194,-1834,-346,1097,2534,3841,4974,5967,6681,7151,7311,7169,6715,5966,4942,3702,2296,774,-773,-2320,
-3736,-5002,-6073,-6845,-7322,-7498,-7346,-6878,-6146,-5165,-4002,-2680,-1259,227,1661,3067,4323,5394,6256,6873,
7200,7224,6940,6372,5497,4400,3074,1612,36,-1485,-3003,-4350,-5512,-6451,-7088,-7448,-7467,-7178,-6605,-5735,
-4647,-3403,-2012,-565,910,2348,3667,4872,5871,6632,7116,7315,7206,6788,6081,5096,3889,2501,995,-567,
-2109,-3539,-4818,-5906,-6705,-7212,-7408,-7314,-6880,-6177,-5203,-4061,-2732,-1299,174,1622,2995,4285,5400,6278,
6946,7313,7386,7132,6565,5727,4665,3353,1907,367,-1182,-2686,-4086,-5272,-6218,-6922,-7300,-7356,-7089,-6547,
-5724,-4671,-3418,-2055,-625,882,2313,3663,4854,5866,6664,7182,7393,7327,6945,6271,5307,4105,2728,1254,
-326,-1866,-3317,-4613,-5727,-6569,-7130,-7361,-7294,-6880,-6220,-5289,-4166,-2860,-1448,25,1475,2886,4190,5319,
6231,6896,7288,7391,7172,6649,5873,4799,3530,2072,542,-1023,-2534,-3939,-5134,-6132,-6841,-7254,-7374,-7121,
-6596,-5809,-4797,-3573,-2201,-768,705,2149,3519,4729,5785,6613,7151,7421,7372,7037,6390,5460,4295,2963,
1462,-85,-1625,-3104,-4421,-5544,-6438,-6987,-7271,-7214,-6881,-6231,-5307,-4191,-2905,-1499,-34,1436,2851,4130,
5306,6273,6939,7385,7531,7346,6838,6059,5037,3787,2363,836,-724,-2230,-3653,-4913,-5921,-6664,-7117,-7243,
-7047,-6563,-5807,-4817,-3624,-2267,-834,621,2083,3443,4696,5748,6571,7155,7456,7447,7120,6518,5615,4456,
3115,1653,99,-1463,-2942,-4297,-5445,-6345,-6990,-7284,-7277,-6962,-6359,-5496,-4406,-3132,-1761,-307,1172,2555,
3893,5048,6026,6738,7179,7330,7211,6726,5972,4965,3735,2310,768,-794,-2327,-3770,-5044,-6074,-6878,-7347,
-7542,-7404,-6958,-6231,-5259,-4090,-2773,-1336,129,1552,2930,4178,5233,6114,6721,7053,7052,6762,6173,5307,
4179,2871,1396,-144,-1724,-3187,-4570,-5733,-6691,-7339,-7677,-7705,-7418,-6859,-6024,-4936,-3693,-2338,-882,599,
2012,3354,4526,5506,6260,6737,6954,6847,6418,5702,4717,3507,2115,597,-945,-2471,-3916,-5213,-6283,-7098,
-7587,-7821,-7686,-7273,-6557,-5605,-4467,-3154,-1729,-263,1180,2586,3849,4975,5853,6498,6862,6935,6679,6136,
5304,4213,2918,1473,-51,-1608,-3103,-4475,-5672,-6620,-7281,-7680,-7739,-7462,-6933,-6100,-5052,-3801,-2443,-1000,
478,1923,3263,4479,5495,6296,6821,7047,6964,6592,5917,4981,3788,2435,937,-625,-2155,-3602,-4913,-5997,
-6837,-7375,-7606,-7528,-7136,-6441,-5513,-4380,-3058,-1656,-183,1265,2660,3956,5092,6009,6705,7110,7215,6989,
6461,5656,4622,3339,1923,400,-1136,-2635,-4052,-5248,-6223,-6936,-7319,-7421,-7192,-6666,-5869,-4852,-3606,-2247,
-796,683,2123,3480,4699,5739,6590,7141,7393,7376,7032,6382,5474,4316,2976,1510,-51,-1563,-3041,-4350,
-5468,-6341,-6902,-7152,-7151,-6745,-6103,-5200,-4085,-2799,-1386,102,1534,2981,4284,5452,6399,7090,7526,7686,
7485,7015,6262,5242,3998,2575,1043,-467,-1986,-3403,-4626,-5615,-6345,-6790,-6911,-6740,-6219,-5479,-4449,-3239,
-1883,-467,1007,2461,3839,5099,6172,7003,7607,7897,7880,7572,6981,6090,4966,3644,2177,644,-924,-2377,
-3712,-4875,-5752,-6350,-6661,-6629,-6325,-5711,-4836,-3729,-2465,-1068,392,1877,3268,4597,5781,6747,7466,7946,
8097,7958,7509,6771,5780,4557,3132,1641,98,-1430,-2861,-4134,-5169,-5944,-6417,-6578,-6428,-5994,-5250,-4274,
-3092,-1764,-363,1102,2566,3952,5202,6266,7143,7757,8072,8108,7837,7248,6365,5241,3924,2473,924,-636,
-2108,-3490,-4641,-5586,-6243,-6585,-6621,-6353,-5775,-4927,-3853,-2617,-1259,195,1646,3039,4380,5571,6541,7278,
7762,7950,7837,7405,6697,5722,4481,3096,1574,1,-1512,-2980,-4271,-5330,-6159,-6668,-6908,-6798,-6385,-5693,
-4762,-3597,-2320,-885,539,1984,3347,4603,5691,6589,7212,7556,7608,7330,6791,5947,4837,3539,2095,538,
-1020,-2556,-3932,-5132,-6116,-6812,-7180,-7258,-7023,-6502,-5676,-4656,-3448,-2091,-652,794,2207,3533,4725,5731,
6502,7000,7246,7136,6750,6052,5090,3889,2521,1000,-533,-2098,-3540,-4864,-5978,-6819,-7366,-7655,-7561,-7191,
-6531,-5615,-4515,-3224,-1800,-367,1067,2467,3750,4859,5757,6406,6816,6884,6666,6157,5331,4274,2995,1549,
19,-1552,-3064,-4441,-5688,-6664,-7396,-7806,-7909,-7704,-7203,-6421,-5394,-4190,-2844,-1413,40,1483,2818,4055,
5081,5882,6422,6671,6634,6296,5636,4717,3559,2203,718,-865,-2386,-3852,-5170,-6306,-7167,-7733,-8007,-7990,
-7633,-6972,-6094,-4988,-3696,-2309,-841,599,2005,3318,4440,5389,6092,6513,6649,6461,5975,5215,4172,2915,
1530,-18,-1561,-3081,-4488,-5723,-6741,-7491,-7922,-8057,-7876,-7397,-6649,-5643,-4425,-3108,-1662,-194,1269,2630,
3841,4925,5786,6346,6624,6638,6327,5713,4814,3674,2355,895,-652,-2180,-3651,-4984,-6146,-7030,-7636,-7929,
-7930,-7607,-6981,-6113,-5021,-3774,-2369,-911,559,1998,3313,4485,5460,6181,6652,6833,6691,6253,5511,4521,
3296,1878,385,-1146,-2660,-4061,-5312,-6348,-7111,-7597,-7746,-7587,-7127,-6402,-5401,-4243,-2887,-1455,7,1472,
2854,4106,5223,6084,6704,7056,7085,6798,6248,5370,4298,2996,1545,23,-1524,-2987,-4347,-5504,-6419,-7038,
-7379,-7399,-7124,-6535,-5673,-4606,-3339,-1943,-491,987,2395,3737,4969,5937,6680,7219,7420,7321,6899,6198,
5231,4039,2652,1183,-358,-1867,-3321,-4588,-5643,-6449,-6950,-7138,-7020,-6600,-5890,-4945,-3768,-2457,-1051,436,
1895,3287,4558,5662,6555,7217,7553,7633,7401,6849,6024,4928,3644,2198,668,-858,-2352,-3723,-4899,-5869,
-6543,-6926,-6995,-6747,-6175,-5383,-4317,-3099,-1742,-297,1176,2582,3945,5134,6148,6938,7443,7676,7627,7213,
6545,5609,4434,3068,1563,50,-1485,-2941,-4247,-5335,-6173,-6737,-6982,-6921,-6524,-5874,-4962,-3818,-2522,-1121,
333,1787,3168,4456,5571,6501,7167,7552,7637,7412,6909,6086,5036,3777,2325,815,-738,-2261,-3644,-4861,
-5861,-6565,-6988,-7084,-6878,-6388,-5609,-4583,-3386,-2057,-614,856,2286,3622,4834,5875,6697,7234,7516,7475,
7118,6481,5547,4400,3059,1566,40,-1510,-2957,-4291,-5423,-6287,-6875,-7166,-7129,-6797,-6133,-5256,-4163,-2884,
-1482,-41,1420,2815,4122,5257,6193,6901,7316,7449,7283,6809,6046,5000,3745,2341,833,-737,-2228,-3651,
-4903,-5914,-6681,-7130,-7265,-7100,-6627,-5860,-4862,-3685,-2366,-935,517,1974,3328,4581,5635,6474,7046,7346,
7343,7028,6391,5516,4384,3066,1584,36,-1518,-2977,-4327,-5468,-6370,-7016,-7298,-7325,-7003,-6414,-5550,-4474,
-3209,-1827,-381,1053,2474,3794,4945,5929,6665,7117,7284,7131,6688,5945,4962,3719,2338,826,-717,-2265,
-3701,-4954,-5988,-6811,-7279,-7452,-7336,-6893,-6181,-5214,-4054,-2734,-1302,154,1607,2972,4213,5311,6173,6787,
7120,7167,6887,6311,5456,4329,3050,1596,43,-1493,-2977,-4350,-5528,-6467,-7116,-7465,-7512,-7226,-6667,-5820,
-4780,-3521,-2132,-695,745,2207,3517,4712,5709,6462,6960,7177,7077,6676,5967,5014,3809,2418,916,-625,
-2139,-3584,-4862,-5944,-6746,-7286,-7497,-7388,-6982,-6295,-5341,-4189,-2876,-1483,-15,1443,2854,4106,5228,6122,
6784,7150,7223,6990,6465,5629,4577,3280,1851,314,-1222,-2727,-4098,-5304,-6263,-6945,-7336,-7419,-7183,-6646,
-5828,-4812,-3580,-2202,-773,702,2126,3484,4694,5711,6516,7052,7289,7212,6834,6181,5247,4077,2700,1235,
-326,-1859,-3317,-4636,-5724,-6579,-7144,-7373,-7318,-6949,-6307,-5390,-4260,-2971,-1589,-137,1321,2744,4017,5137,
6068,6750,7133,7247,7030,6546,5746,4673,3426,1996,472,-1082,-2595,-4000,-5228,-6247,-6964,-7381,-7498,-7317,
-6802,-6032,-5012,-3827,-2483,-1060,442,1824,3206,4406,5484,6288,6850,7116,7103,6749,6132,5214,4054,2711,
1243,-297,-1833,-3309,-4655,-5776,-6661,-7253,-7549,-7522,-7184,-6567,-5675,-4574,-3301,-1909,-457,999,2425,3720,
4858,5826,6533,6978,7100,6952,6486,5729,4715,3471,2068,562,-997,-2516,-3915,-5157,-6213,-6955,-7416,-7567,
-7405,-6936,-6193,-5188,-4020,-2684,-1260,213,1650,3024,4270,5345,6190,6796,7104,7122,6827,6237,5346,4223,
2913,1450,-90,-1637,-3120,-4475,-5633,-6527,-7154,-7505,-7499,-7192,-6591,-5755,-4678,-3412,-2038,-604,888,2290,
3630,4793,5764,6495,6967,7154,7029,6598,5881,4885,3665,2282,770,-777,-2290,-3706,-4981,-6029,-6830,-7334,
-7515,-7385,-6943,-6226,-5269,-4103,-2803,-1394,90,1523,2902,4193,5273,6145,6767,7128,7177,6911,6342,5508,
4432,3121,1659,124,-1401,-2886,-4263,-5433,-6383,-7049,-7413,-7453,-7190,-6615,-5800,-4754,-3495,-2129,-677,770,
2205,3559,4754,5755,6529,7019,7258,7151,6767,6095,5132,3943,2597,1104,-441,-1967,-3414,-4705,-5778,-6605,
-7114,-7332,-7253,-6852,-6170,-5225,-4074,-2801,-1361,116,1570,2962,4237,5367,6276,6917,7310,7407,7199,6665,
5873,4808,3542,2111,579,-943,-2444,-3812,-5023,-6003,-6684,-7074,-7161,-6913,-6385,-5579,-4575,-3338,-1973,-527,
933,2381,3727,4943,5970,6771,7327,7605,7540,7184,6531,5600,4461,3094,1627,95,-1453,-2901,-4212,-5314,
-6169,-6731,-6992,-6924,-6563,-5918,-5013,-3896,-2613,-1221,252,1708,3107,4392,5561,6477,7179,7579,7706,7519,
7027,6250,5221,3963,2556,1030,-510,-2029,-3417,-4674,-5660,-6393,-6821,-6963,-6780,-6291,-5500,-4523,-3325,-1979,
-534,915,2342,3721,4958,5993,6843,7410,7688,7693,7340,6720,5849,4692,3349,1889,351,-1188,-2665,-4001,
-5133,-6017,-6633,-6925,-6915,-6584,-5988,-5104,-4008,-2747,-1375,80,1535,2962,4253,5400,6366,7104,7531,7690,
7532,7066,6323,5309,4091,2686,1204,-365,-1877,-3308,-4547,-5605,-6382,-6838,-7022,-6871,-6411,-5691,-4713,-3540,
-2218,-793,664,2098,3487,4721,5791,6634,7225,7557,7570,7271,6692,5824,4710,3378,1906,390,-1151,-2670,
-4002,-5176,-6101,-6748,-7105,-7133,-6834,-6284,-5419,-4367,-3120,-1760,-322,1132,2555,3861,5016,6018,6763,7243,
7414,7293,6878,6153,5157,3962,2562,1058,-506,-2032,-3480,-4770,-5826,-6630,-7144,-7344,-7244,-6819,-6140,-5182,
-4052,-2719,-1326,130,1564,2936,4205,5308,6167,6796,7161,7218,6944,6380,5547,4475,3169,1707,190,-1362,
-2866,-4263,-5452,-6394,-7100,-7482,-7534,-7293,-6747,-5935,-4893,-3652,-2309,-874,605,2018,3353,4541,5550,6323,
6842,7044,6976,6581,5914,4945,3763,2390,901,-653,-2166,-3626,-4923,-6014,-6849,-7391,-7608,-7552,-7178,-6481,
-5584,-4443,-3155,-1748,-284,1160,2566,3856,4962,5888,6551,6944,7048,6827,6313,5514,4450,3186,1748,233,
-1308,-2805,-4224,-5416,-6385,-7095,-7511,-7619,-7392,-6875,-6090,-5059,-3850,-2500,-1069,384,1825,3199,4410,5446,
6262,6808,7056,7029,6686,6044,5133,3962,2624,1153,-377,-1928,-3380,-4677,-5815,-6681,-7253,-7522,-7474,-7145,
-6501,-5588,-4486,-3213,-1804,-345,1119,2517,3816,4969,5915,6597,7036,7177,7006,6514,5757,4713,3482,2050,
552,-1004,-2515,-3916,-5160,-6165,-6916,-7362,-7511,-7321,-6845,-6093,-5110,-3921,-2571,-1137,299,1773,3134,4383,
5417,6264,6847,7161,7132,6851,6228,5353,4207,2892,1420,-119,-1668,-3127,-4475,-5618,-6520,-7144,-7448,-7427,
-7111,-6508,-5631,-4531,-3281,-1892,-418,1036,2438,3756,4943,5911,6653,7089,7266,7135,6682,5963,4976,3741,
2355,844,-699,-2200,-3640,-4899,-5922,-6723,-7183,-7366,-7210,-6759,-6020,-5052,-3871,-2551,-1118,347,1789,3178,
4440,5528,6404,7013,7352,7389,7116,6541,5694,4577,3282,1830,299,-1243,-2733,-4085,-5251,-6171,-6825,-7174,
-7197,-6916,-6341,-5500,-4431,-3195,-1805,-374,1086,2529,3850,5038,6040,6822,7282,7514,7395,7011,6297,5319,
4121,2752,1244,-299,-1828,-3258,-4548,-5624,-6430,-6954,-7161,-7065,-6647,-5951,-5006,-3867,-2558,-1140,301,1760,
3156,4418,5538,6411,7045,7438,7482,7245,6702,5881,4808,3494,2062,533,-1016,-2538,-3894,-5096,-6062,-6778,
-7151,-7229,-6987,-6469,-5662,-4625,-3387,-2055,-607,845,2277,3609,4819,5835,6606,7130,7356,7300,6930,6236,
5293,4108,2742,1242,-307,-1839,-3293,-4604,-5718,-6562,-7138,-7373,-7331,-6953,-6282,-5377,-4267,-2972,-1574,-114,
1322,2709,4000,5125,6033,6718,7113,7215,7004,6481,5689,4650,3360,1940,426,-1120,-2642,-4040,-5268,-6258,
-6984,-7420,-7514,-7303,-6806,-6033,-5023,-3817,-2471,-1047,437,1865,3228,4426,5465,6294,6843,7112,7085,6752,
6119,5197,4056,2715,1239,-314,-1842,-3313,-4625,-5769,-6642,-7226,-7500,-7486,-7139,-6510,-5607,-4512,-3238,-1842,
-383,1075,2489,3781,4936,5893,6585,7023,7177,7014,6550,5782,4768,3533,2102,599,-941,-2453,-3867,-5112,
-6143,-6880,-7350,-7497,-7325,-6850,-6120,-5120,-3927,-2589,-1186,273,1720,3090,4328,5387,6244,6838,7150,7141,
6846,6256,5365,4247,2940,1475,-68,-1627,-3087,-4448,-5601,-6509,-7123,-7452,-7453,-7158,-6566,-5699,-4603,-3369,
-1968,-533,936,2342,3659,4846,5821,6544,7030,7202,7077,6633,5905,4918,3712,2293,799,-733,-2248,-3686,
-4947,-5997,-6784,-7299,-7477,-7337,-6896,-6184,-5232,-4066,-2738,-1330,136,1592,2973,4243,5326,6202,6832,7186,
7204,6968,6395,5565,4455,3155,1717,191,-1376,-2840,-4209,-5376,-6328,-6972,-7336,-7356,-7098,-6526,-5696,-4627,
-3406,-2027,-581,904,2318,3662,4866,5873,6635,7138,7364,7271,6875,6185,5240,4043,2685,1191,-360,-1869,
-3319,-4613,-5665,-6505,-7009,-7247,-7135,-6728,-6033,-5110,-3950,-2638,-1218,234,1695,3087,4379,5477,6400,7048,
7450,7521,7290,6773,5965,4880,3630,2204,680,-868,-2377,-3740,-4947,-5921,-6618,-7003,-7089,-6848,-6331,-5526,
-4489,-3269,-1901,-466,995,2436,3778,4980,6014,6821,7340,7602,7531,7169,6508,5572,4412,3058,1555,16,
-1516,-2975,-4304,-5427,-6271,-6836,-7115,-7043,-6693,-6044,-5143,-4026,-2743,-1344,103,1552,2950,4260,5371,6283,
6964,7382,7464,7268,6773,5989,4933,3670,2253,739,-819,-2336,-3743,-4974,-5975,-6724,-7160,-7276,-7087,-6630,
-5839,-4845,-3641,-2314,-890,564,2011,3360,4578,5630,6454,7016,7276,7262,6941,6305,5388,4248,2913,1426,
-114,-1650,-3129,-4466,-5617,-6495,-7103,-7400,-7393,-7060,-6435,-5555,-4483,-3199,-1809,-354,1080,2493,3803,4962,
5906,6627,7073,7217,7055,6606,5843,4836,3590,2196,688,-859,-2382,-3806,-5053,-6057,-6839,-7313,-7462,-7293,
-6840,-6109,-5120,-3940,-2600,-1186,293,1726,3104,4346,5423,6272,6876,7183,7222,6921,6340,5461,4333,3026,
1579,40,-1493,-2981,-4340,-5497,-6415,-7056,-7369,-7413,-7109,-6528,-5661,-4608,-3343,-1966,-524,936,2365,3688,
4871,5848,6590,7067,7281,7141,6708,6007,5031,3821,2405,907,-635,-2154,-3594,-4865,-5915,-6721,-7234,-7423,
-7297,-6872,-6170,-5213,-4050,-2747,-1331,129,1582,2966,4212,5323,6205,6835,7179,7221,6978,6425,5573,4501,
3195,1761,211,-1338,-2837,-4193,-5401,-6336,-7020,-7380,-7448,-7188,-6640,-5820,-4775,-3540,-2177,-741,729,2149,
3488,4691,5706,6468,6972,7196,7134,6733,6053,5092,3921,2532,1049,-495,-2014,-3481,-4776,-5857,-6684,-7221,
-7454,-7366,-6969,-6299,-5386,-4232,-2920,-1507,-53,1405,2805,4091,5216,6124,6789,7197,7269,7065,6545,5747,
4676,3412,1986,466,-1087,-2568,-3960,-5148,-6155,-6841,-7249,-7326,-7125,-6585,-5797,-4749,-3556,-2203,-764,719,
2129,3497,4725,5763,6573,7116,7374,7336,6976,6339,5424,4258,2921,1441,-99,-1633,-3100,-4421,-5530,-6385,
-6964,-7230,-7179,-6820,-6179,-5286,-4163,-2870,-1482,-30,1437,2835,4154,5270,6229,6929,7348,7467,7294,6802,
6039,4988,3739,2323,802,-753,-2265,-3665,-4900,-5915,-6664,-7106,-7228,-7049,-6569,-5809,-4809,-3636,-2280,-853,
600,2041,3394,4634,5691,6523,7083,7390,7383,7057,6445,5547,4408,3077,1596,59,-1489,-2977,-4312,-5451,
-6345,-6966,-7280,-7274,-6947,-6337,-5489,-4392,-3134,-1735,-300,1159,2578,3899,5059,6001,6731,7200,7339,7195,
6749,5998,5001,3759,2364,864,-682,-2208,-3633,-4888,-5931,-6720,-7201,-7366,-7231,-6788,-6041,-5077,-3886,-2569,
-1149,314,1770,3135,4398,5465,6339,6932,7262,7290,7012,6425,5577,4464,3162,1716,170,-1371,-2847,-4214,
-5385,-6309,-6932,-7282,-7319,-7029,-6442,-5613,-4544,-3291,-1917,-470,983,2398,3741,4940,5907,6673,7168,7376,
7258,6854,6158,5193,3975,2603,1101,-435,-1976,-3402,-4683,-5729,-6562,-7068,-7273,-7147,-6741,-6044,-5114,-3931,
-2629,-1219,253,1717,3090,4357,5463,6353,7004,7351,7426,7190,6631,5792,4720,3440,2010,471,-1064,-2556,
-3933,-5135,-6100,-6763,-7151,-7227,-6976,-6436,-5618,-4592,-3361,-2002,-553,903,2336,3669,4880,5882,6668,7195,
7438,7351,6969,6307,5360,4167,2814,1325,-219,-1762,-3199,-4516,-5599,-6452,-7005,-7243,-7173,-6799,-6143,-5227,
-4088,-2796,-1404,56,1503,2908,4165,5319,6227,6898,7282,7383,7166,6670,5860,4812,3540,2133,590,-956,
-2469,-3843,-5077,-6063,-6790,-7208,-7318,-7118,-6608,-5820,-4815,-3598,-2259,-827,629,2056,3406,4637,5672,6477,
7036,7302,7269,6904,6271,5354,4205,2856,1384,-159,-1701,-3178,-4499,-5626,-6492,-7095,-7371,-7335,-6992,-6364,
-5483,-4376,-3085,-1713,-262,1201,2604,3902,5041,5989,6701,7110,7263,7087,6620,5845,4813,3571,2167,658,
-916,-2423,-3829,-5077,-6115,-6852,-7305,-7436,-7286,-6802,-6046,-5059,-3895,-2547,-1119,348,1779,3144,4386,5456,
6281,6859,7154,7175,6857,6256,5371,4275,2925,1468,-73,-1602,-3090,-4428,-5588,-6479,-7114,-7437,-7429,-7125,
-6544,-5681,-4581,-3322,-1938,-497,963,2383,3701,4860,5842,6567,7036,7203,7066,6634,5914,4896,3688,2292,
778,-770,-2282,-3709,-4969,-6029,-6815,-7305,-7473,-7337,-6899,-6181,-5214,-4059,-2735,-1309,155,1598,2974,4230,
5318,6191,6809,7145,7193,6916,6335,5496,4399,3103,1644,117,-1426,-2910,-4290,-5454,-6391,-7037,-7399,-7433,
-7163,-6580,-5760,-4710,-3452,-2082,-643,826,2255,3583,4766,5765,6543,7045,7243,7153,6749,6060,5092,3896,
2530,1042,-514,-2042,-3472,-4758,-5837,-6647,-7172,-7391,-7293,-6896,-6184,-5259,-4101,-2816,-1394,64,1524,2906,
4191,5294,6212,6846,7227,7299,7079,6532,5729,4656,3370,1924,412,-1139,-2619,-4019,-5207,-6171,-6861,-7245,
-7326,-7095,-6552,-5761,-4717,-3494,-2119,-694,771,2211,3549,4759,5777,6580,7122,7358,7285,6930,6268,5328,
4147,2803,1316,-220,-1775,-3217,-4525,-5634,-6494,-7050,-7303,-7242,-6878,-6224,-5313,-4178,-2906,-1493,-50,1410,
2812,4101,5227,6166,6837,7247,7354,7173,6658,5863,4824,3552,2136,617,-933,-2439,-3822,-5062,-6062,-6786,
-7222,-7343,-7138,-6630,-5860,-4863,-3675,-2316,-877,560,1999,3376,4596,5652,6454,7020,7306,7259,6939,6309,
5407,4253,2914,1433,-90,-1650,-3101,-4441,-5565,-6458,-7060,-7356,-7329,-6992,-6382,-5494,-4398,-3121,-1748,-289,
1167,2582,3892,5040,5990,6710,7136,7289,7126,6674,5913,4893,3663,2253,744,-808,-2324,-3724,-4991,-6012,
-6774,-7225,-7394,-7234,-6764,-6024,-5045,-3855,-2528,-1092,353,1799,3172,4427,5487,6345,6942,7244,7268,6961,
6376,5496,4382,3048,1610,53,-1484,-2976,-4310,-5468,-6387,-7031,-7345,-7367,-7080,-6495,-5626,-4564,-3298,-1947,
-486,972,2401,3713,4878,5863,6606,7077,7260,7142,6715,5988,4985,3774,2398,890,-669,-2190,-3613,-4901,
-5967,-6743,-7255,-7426,-7326,-6894,-6177,-5218,-4072,-2766,-1333,119,1567,2950,4214,5308,6181,6806,7163,7203,
6934,6383,5540,4465,3148,1700,176,-1374,-2865,-4235,-5412,-6361,-7032,-7401,-7441,-7181,-6633,-5812,-4759,-3520,
-2156,-721,759,2184,3530,4708,5709,6492,7000,7211,7139,6756,6079,5103,3923,2560,1079,-487,-2013,-3448,
-4729,-5822,-6643,-7174,-7393,-7327,-6912,-6238,-5289,-4156,-2852,-1442,29,1477,2865,4157,5283,6198,6855,7243,
7336,7110,6584,5791,4736,3461,2019,501,-1027,-2532,-3929,-5117,-6093,-6791,-7200,-7278,-7048,-6526,-5745,-4705,
-3475,-2129,-686,771,2213,3564,4768,5796,6605,7155,7397,7342,7000,6344,5411,4258,2903,1439,-116,-1653,
-3098,-4411,-5532,-6396,-6962,-7221,-7178,-6818,-6164,-5279,-4157,-2883,-1486,-22,1433,2818,4121,5251,6189,6883,
7290,7414,7229,6718,5955,4916,3660,2236,721,-836,-2346,-3760,-4975,-5986,-6726,-7184,-7307,-7123,-6633,-5871,
-4881,-3688,-2338,-918,537,1982,3336,4569,5608,6433,7013,7299,7269,6959,6340,5449,4293,2963,1491,-40,
-1597,-3064,-4409,-5554,-6457,-7055,-7368,-7351,-7050,-6429,-5563,-4448,-3209,-1816,-380,1091,2491,3805,4961,5922,
6629,7099,7247,7102,6639,5906,4902,3675,2262,761,-781,-2296,-3725,-4963,-5990,-6768,-7233,-7417,-7247,-6802,
-6061,-5098,-3916,-2589,-1168,287,1744,3126,4375,5447,6319,6925,7268,7275,6991,6405,5553,4430,3131,1670,
143,-1406,-2895,-4242,-5395,-6333,-6974,-7303,-7325,-7042,-6466,-5625,-4541,-3299,-1940,-485,982,2394,3714,4894,
5888,6622,7109,7314,7192,6779,6061,5083,3879,2500,995,-557,-2083,-3507,-4801,-5861,-6661,-7174,-7394,-7269,
-6862,-6148,-5203,-4057,-2751,-1322,117,1555,2943,4227,5310,6195,6830,7197,7238,6985,6443,5606,4518,3222,
1765,242,-1313,-2807,-4173,-5376,-6329,-7030,-7392,-7463,-7209,-6682,-5852,-4810,-3586,-2234,-785,678,2111,3425,
4632,5650,6438,6930,7159,7090,6712,6014,5092,3884,2544,1037,-502,-2037,-3476,-4790,-5884,-6713,-7259,-7502,
-7435,-7044,-6368,-5437,-4305,-2998,-1598,-138,1310,2715,3999,5135,6046,6724,7119,7219,7003,6494,5703,4650,
3368,1958,438,-1095,-2613,-3989,-5202,-6175,-6898,-7310,-7403,-7180,-6672,-5886,-4854,-3636,-2280,-847,619,2069,
3418,4643,5694,6501,7047,7328,7284,6949,6312,5389,4255,2898,1427,-109,-1636,-3090,-4401,-5528,-6395,-6976,
-7230,-7197,-6841,-6198,-5301,-4201,-2923,-1515,-55,1397,2806,4113,5264,6194,6903,7334,7477,7292,6825,6058,
5040,3788,2368,863,-670,-2195,-3611,-4835,-5848,-6608,-7056,-7195,-7001,-6525,-5787,-4804,-3602,-2261,-846,623,
2057,3417,4628,5712,6539,7137,7417,7408,7106,6493,5604,4461,3138,1684,134,-1392,-2865,-4210,-5372,-6277,
-6904,-7205,-7213,-6905,-6317,-5441,-4369,-3116,-1739,-279,1167,2560,3878,5041,6017,6733,7207,7349,7214,6763,
6030,5029,3811,2395,902,-653,-2169,-3608,-4866,-5908,-6701,-7194,-7354,-7228,-6780,-6075,-5112,-3925,-2606,-1211,
244,1699,3081,4321,5398,6263,6882,7208,7249,6979,6414,5535,4432,3132,1674,139,-1399,-2893,-4255,-5423,
-6366,-7011,-7357,-7401,-7135,-6556,-5711,-4657,-3418,-2045,-594,862,2275,3610,4815,5770,6525,7033,7245,7136,
6720,6027,5069,3867,2467,988,-554,-2080,-3513,-4803,-5878,-6684,-7218,-7433,-7327,-6923,-6232,-5296,-4145,-2834,
-1434,21,1476,2876,4150,5236,6136,6788,7162,7223,6990,6449,5635,4548,3257,1842,313,-1243,-2746,-4113,
-5306,-6304,-6960,-7353,-7420,-7204,-6665,-5860,-4822,-3599,-2236,-799,660,2088,3425,4631,5650,6443,6969,7213,
7153,6779,6107,5173,4008,2648,1141,-386,-1911,-3356,-4679,-5787,-6618,-7179,-7447,-7377,-6993,-6340,-5444,-4309,
-3024,-1614,-176,1290,2699,3987,5096,6024,6695,7118,7212,7022,6527,5741,4684,3424,1988,489,-1055,-2573,
-3954,-5172,-6165,-6878,-7308,-7409,-7195,-6718,-5923,-4925,-3707,-2357,-934,546,1985,3342,4588,5633,6459,7022,
7291,7266,6938,6297,5406,4264,2935,1447,-80,-1609,-3055,-4396,-5510,-6386,-6961,-7262,-7234,-6885,-6245,-5360,
-4259,-2975,-1576,-124,1329,2740,4070,5210,6161,6883,7324,7478,7301,6838,6097,5089,3839,2449,953,-598,
-2124,-3522,-4755,-5765,-6540,-6995,-7140,-6968,-6492,-5745,-4761,-3570,-2249,-810,644,2108,3459,4714,5776,6640,
7233,7534,7551,7255,6650,5761,4657,3347,1869,336,-1207,-2686,-4041,-5195,-6097,-6721,-7046,-7076,-6755,-6180,
-5317,-4253,-2992,-1610,-171,1276,2692,4017,5187,6159,6878,7345,7546,7377,6963,6226,5241,4016,2617,1111,
-425,-1964,-3397,-4674,-5718,-6511,-7005,-7204,-7071,-6652,-5934,-4994,-3827,-2520,-1104,343,1791,3167,4424,5516,
6385,7021,7349,7392,7136,6575,5717,4622,3335,1882,334,-1210,-2693,-4063,-5259,-6189,-6856,-7220,-7283,-7021,
-6459,-5627,-4580,-3344,-1973,-514,931,2348,3678,4877,5878,6643,7146,7376,7268,6857,6184,5232,4023,2648,
1155,-371,-1906,-3361,-4649,-5721,-6546,-7107,-7312,-7217,-6817,-6143,-5215,-4065,-2766,-1365,103,1544,2945,4214,
5327,6233,6899,7264,7344,7118,6603,5784,4718,3431,2001,475,-1067,-2573,-3935,-5144,-6141,-6831,-7227,-7305,
-7096,-6563,-5782,-4746,-3532,-2174,-736,719,2132,3503,4704,5733,6518,7054,7302,7262,6875,6224,5291,4137,
2764,1275,-280,-1813,-3279,-4587,-5693,-6562,-7152,-7413,-7363,-6998,-6354,-5470,-4338,-3064,-1675,-229,1235,2634,
3916,5049,5983,6666,7069,7167,6980,6485,5689,4645,3395,1967,450,-1112,-2626,-4019,-5259,-6276,-6994,-7431,
-7560,-7376,-6896,-6133,-5126,-3928,-2591,-1160,306,1729,3093,4320,5372,6195,6767,7048,7046,6701,6086,5171,
4043,2696,1227,-322,-1842,-3323,-4664,-5809,-6697,-7295,-7601,-7590,-7259,-6630,-5755,-4666,-3390,-1991,-553,936,
2344,3672,4799,5770,6483,6948,7088,6941,6484,5753,4726,3495,2098,598,-976,-2466,-3878,-5133,-6169,-6931,
-7405,-7552,-7401,-6938,-6182,-5203,-4015,-2682,-1271,212,1647,3024,4289,5361,6231,6825,7148,7177,6889,6303,
5442,4334,3035,1565,35,-1510,-2986,-4344,-5490,-6428,-7049,-7391,-7404,-7123,-6515,-5680,-4602,-3352,-1956,-505,
941,2358,3708,4870,5858,6619,7099,7272,7155,6739,6028,5043,3829,2457,956,-601,-2130,-3561,-4826,-5877,
-6698,-7185,-7380,-7260,-6849,-6131,-5172,-4010,-2718,-1299,190,1631,3002,4268,5379,6265,6885,7251,7301,7056,
6498,5672,4583,3286,1840,306,-1224,-2720,-4076,-5274,-6237,-6884,-7267,-7335,-7072,-6516,-5698,-4656,-3430,-2051,
-621,832,2270,3619,4793,5798,6571,7091,7329,7225,6868,6188,5231,4031,2672,1184,-340,-1893,-3336,-4631,
-5707,-6544,-7091,-7342,-7236,-6865,-6175,-5249,-4115,-2819,-1427,25,1501,2884,4171,5285,6205,6866,7248,7338,
7126,6601,5795,4741,3472,2048,519,-1018,-2524,-3911,-5137,-6103,-6815,-7229,-7330,-7113,-6598,-5817,-4794,-3581,
-2239,-784,645,2091,3428,4655,5683,6495,7035,7302,7242,6893,6247,5332,4179,2809,1328,-214,-1732,-3215,
-4524,-5634,-6499,-7102,-7360,-7321,-6975,-6348,-5447,-4332,-3046,-1682,-207,1233,2650,3932,5055,6007,6693,7122,
7244,7070,6586,5806,4765,3520,2103,587,-953,-2482,-3876,-5111,-6142,-6881,-7320,-7462,-7283,-6788,-6033,-5041,
-3859,-2526,-1106,368,1792,3177,4410,5459,6287,6868,7162,7157,6837,6235,5338,4220,2887,1426,-139,-1650,
-3149,-4468,-5606,-6507,-7112,-7436,-7422,-7106,-6507,-5624,-4522,-3264,-1877,-430,1033,2457,3759,4933,5904,6639,
7089,7253,7113,6663,5931,4924,3703,2312,804,-745,-2266,-3677,-4932,-5983,-6752,-7224,-7392,-7267,-6805,-6080,
-5092,-3939,-2607,-1173,292,1728,3090,4354,5446,6297,6930,7262,7304,7018,6431,5570,4486,3165,1715,181,
-1354,-2842,-4215,-5370,-6292,-6960,-7309,-7333,-7040,-6472,-5640,-4566,-3311,-1936,-514,983,2401,3733,4905,5896,
6657,7150,7330,7230,6822,6125,5140,3928,2546,1072,-498,-2029,-3456,-4728,-5810,-6621,-7150,-7352,-7257,-6822,
-6140,-5193,-4060,-2746,-1332,133,1577,2966,4249,5358,6246,6878,7244,7319,7075,6522,5717,4632,3351,1895,
372,-1183,-2677,-4061,-5234,-6204,-6882,-7266,-7355,-7083,-6539,-5734,-4705,-3471,-2098,-668,795,2233,3582,4775,
5801,6603,7119,7352,7279,6914,6247,5298,4117,2777,1277,-260,-1790,-3247,-4545,-5641,-6506,-7030,-7284,-7206,
-6845,-6171,-5237,-4111,-2818,-1413,46,1511,2909,4176,5327,6266,6908,7323,7440,7231,6704,5908,4868,3607,
2180,659,-890,-2381,-3789,-5017,-5999,-6717,-7138,-7242,-7027,-6516,-5742,-4740,-3534,-2179,-745,703,2155,3504,
4735,5768,6572,7130,7407,7369,7018,6395,5478,4309,2965,1501,-43,-1591,-3057,-4388,-5510,-6388,-7001,-7268,
-7236,-6900,-6282,-5401,-4296,-3021,-1641,-193,1278,2658,3971,5111,6068,6759,7175,7305,7157,6655,5885,4861,
3625,2198,664,-886,-2406,-3828,-5078,-6090,-6864,-7311,-7477,-7313,-6848,-6104,-5121,-3947,-2624,-1187,272,1692,
3055,4293,5333,6190,6775,7083,7059,6749,6143,5262,4126,2807,1334,-197,-1768,-3220,-4581,-5720,-6654,-7281,
-7598,-7603,-7295,-6717,-5866,-4775,-3518,-2162,-710,762,2167,3492,4652,5615,6347,6804,6994,6866,6421,5687,
4688,3467,2074,559,-982,-2490,-3922,-5200,-6251,-7041,-7511,-7721,-7571,-7140,-6409,-5446,-4296,-2981,-1553,-92,
1341,2735,3984,5089,5951,6574,6917,6969,6693,6134,5282,4183,2877,1434,-88,-1631,-3115,-4474,-5650,-6579,
-7224,-7598,-7638,-7344,-6801,-5956,-4899,-3644,-2283,-841,629,2066,3395,4593,5592,6373,6876,7085,6982,6592,
5901,4951,3749,2392,890,-660,-2181,-3617,-4909,-5977,-6801,-7317,-7530,-7433,-7025,-6318,-5382,-4241,-2919,-1515,
-45,1394,2782,4066,5188,6087,6757,7146,7231,6989,6445,5630,4583,3297,1871,352,-1178,-2668,-4068,-5249,
-6208,-6902,-7272,-7356,-7108,-6572,-5766,-4737,-3487,-2129,-683,792,2225,3569,4778,5801,6631,7163,7399,7361,
7001,6335,5415,4248,2905,1437,-121,-1629,-3091,-4387,-5495,-6348,-6894,-7129,-7109,-6696,-6043,-5132,-4011,-2720,
-1307,174,1601,3036,4327,5480,6410,7089,7506,7645,7429,6942,6174,5145,3893,2469,940,-568,-2079,-3485,
-4695,-5672,-6387,-6816,-6923,-6738,-6208,-5457,-4424,-3209,-1850,-436,1033,2482,3849,5094,6152,6970,7558,7832,
7799,7476,6873,5970,4836,3510,2043,511,-1047,-2491,-3815,-4963,-5830,-6415,-6710,-6667,-6349,-5724,-4842,-3730,
-2464,-1066,390,1869,3255,4573,5743,6699,7403,7866,8005,7851,7387,6641,5643,4412,2987,1496,-42,-1563,
-2985,-4241,-5265,-6026,-6485,-6637,-6473,-6024,-5273,-4289,-3105,-1776,-372,1087,2546,3924,5166,6221,7086,7686,
7989,8011,7729,7130,6239,5111,3790,2338,794,-760,-2229,-3597,-4738,-5668,-6311,-6643,-6665,-6387,-5800,-4945,
-3864,-2624,-1264,186,1634,3025,4357,5539,6501,7228,7699,7878,7754,7311,6594,5612,4369,2982,1462,-105,
-1613,-3070,-4352,-5401,-6217,-6717,-6942,-6821,-6400,-5698,-4762,-3593,-2311,-876,546,1987,3347,4596,5675,6564,
7178,7514,7551,7266,6718,5869,4755,3452,2008,456,-1095,-2624,-3993,-5183,-6156,-6842,-7199,-7265,-7023,-6494,
-5661,-4634,-3423,-2065,-625,817,2227,3548,4735,5733,6496,6984,7221,7104,6709,6005,5040,3836,2467,948,
-584,-2144,-3577,-4894,-5998,-6830,-7366,-7645,-7544,-7165,-6499,-5579,-4472,-3178,-1754,-323,1108,2506,3783,4884,
5777,6421,6819,6882,6655,6139,5309,4246,2968,1522,-7,-1573,-3079,-4450,-5690,-6659,-7381,-7782,-7877,-7665,
-7158,-6371,-5341,-4134,-2787,-1356,94,1535,2865,4098,5117,5913,6445,6688,6644,6300,5634,4711,3551,2193,
708,-870,-2388,-3849,-5161,-6293,-7146,-7707,-7975,-7949,-7589,-6924,-6041,-4935,-3640,-2252,-787,651,2054,3363,
4480,5424,6121,6535,6666,6472,5979,5217,4171,2913,1525,-22,-1560,-3078,-4481,-5712,-6723,-7469,-7896,-8026,
-7840,-7358,-6605,-5597,-4378,-3059,-1615,-150,1309,2668,3876,4956,5811,6367,6641,6648,6331,5714,4811,3672,
2349,889,-654,-2182,-3650,-4981,-6138,-7018,-7620,-7910,-7904,-7580,-6951,-6081,-4988,-3740,-2336,-880,587,2025,
3336,4506,5477,6195,6663,6838,6693,6250,5506,4514,3288,1870,377,-1152,-2666,-4064,-5313,-6346,-7105,-7589,
-7735,-7576,-7112,-6386,-5384,-4226,-2870,-1437,22,1485,2866,4116,5230,6089,6706,7056,7082,6794,6241,5359,
4288,2986,1534,14,-1532,-2995,-4351,-5507,-6420,-7038,-7378,-7396,-7120,-6530,-5667,-4600,-3332,-1937,-485,990,
2399,3739,4970,5937,6679,7216,7416,7316,6894,6191,5224,4032,2644,1177,-364,-1870,-3324,-4591,-5646,-6449,
-6950,-7137,-7019,-6598,-5888,-4943,-3767,-2455,-1051,437,1894,3286,4557,5661,6555,7217,1,-34,-306,-653,
-821,-778,-713,-665,-369,319,1212,2088,2968,3926,4739,5086,4921,4413,3603,2331,519,-1613,-3792,-6057,
-8490,-10921,-13019,-14610,-15673,-16181,-15886,-14559,-12369,-9634,-6595,-3274,268,3729,6823,9469,11708,13440,14551,14920,
14562,13489,11753,9358,6411,3311,205,-2994,-6107,-8914,-11270,-13329,-15188,-16655,-17452,-17590,-17225,-16372,-14762,-12357,
-9376,-6066,-2490,1379,5418,9242,12649,15611,18021,19650,20309,19896,18556,16330,13246,9410,5296,1226,-2770,-6710,
-10308,-13266,-15407,-16826,-17592,-17665,-16800,-15020,-12599,-9797,-6576,-3055,488,3844,7005,9960,12697,14948,16611,17646,
18288,18258,17314,15275,12631,9563,6148,2161,-2000,-5908,-9195,-12102,-14498,-16093,-16571,-16321,-15446,-14033,-11929,-9329,
-6603,-4121,-1637,1049,3781,6068,8052,10082,12036,13348,14149,14630,14593,13850,12519,10763,8677,6292,3734,1163,
-1451,-4005,-6233,-7968,-9385,-10402,-10653,-9889,-8625,-7122,-5166,-2471,329,2545,4559,6828,8703,9799,10560,11485,
12376,12877,12829,12767,12263,11005,9189,7041,4458,1576,-1078,-3382,-5415,-6732,-7261,-6972,-6285,-5679,-4895,-3488,
-2040,-1328,-684,276,845,1271,2449,3472,3699,4006,4553,5339,6057,5897,5281,4608,3578,2248,727,-1075,
-3060,-4557,-5278,-5792,-6252,-6546,-6503,-5873,-5023,-4424,-3739,-2860,-2151,-1271,-118,818,1488,2391,3662,4746,
5475,5995,6259,6201,5827,5246,4337,3008,1587,387,-703,-1953,-3558,-5174,-6146,-6752,-7447,-8059,-8373,-8470,
-8352,-7642,-6406,-5190,-3925,-2494,-899,712,2330,3909,5116,5739,6191,6761,7111,6804,5887,4809,3689,2305,
617,-1173,-3067,-5171,-7256,-8836,-9845,-10784,-11580,-11661,-10984,-9780,-8302,-6725,-4985,-2875,-406,2136,4473,6578,
8511,10181,11355,11998,12260,12126,11365,9932,8074,5934,3428,497,-2572,-5487,-8154,-10513,-12346,-13473,-13895,-13626,
-12806,-11551,-9773,-7532,-5011,-2519,-134,2341,4830,6970,8695,10206,11599,12624,13150,13234,12869,11845,10182,7988,
5519,2937,164,-2724,-5334,-7502,-9212,-10498,-11268,-11476,-11107,-10202,-8861,-7341,-5542,-3473,-1277,817,2920,5000,
6861,8322,9523,10396,10959,11090,10764,9799,8503,7038,5259,2973,503,-1812,-3824,-5732,-7508,-8845,-9472,-9600,
-9411,-8783,-7589,-5960,-4225,-2460,-604,1295,3015,4405,5450,6359,7105,7485,7549,7585,7418,6945,6414,5663,
4400,2952,1536,-10,-1987,-4032,-5645,-6859,-7931,-8733,-9121,-8686,-7835,-7027,-5860,-4155,-2630,-1514,-386,1139,
2469,3196,3785,4730,5675,6232,6353,6368,6209,5660,4695,3376,1648,-266,-2200,-4043,-5770,-7412,-8665,-9334,
-9748,-9908,-9548,-8704,-7785,-6783,-5310,-3546,-2008,-736,657,2333,3957,5246,6342,7312,8051,8460,8402,7819,
6746,5254,3422,1291,-976,-3205,-5354,-7362,-9133,-10372,-10979,-11143,-10911,-10294,-9221,-7721,-6014,-4252,-2460,-742,
963,2830,4678,6165,7386,8624,9601,9926,9844,9641,8921,7402,5569,3825,1980,-304,-2761,-4879,-6444,-7803,
-8984,-9515,-9269,-8680,-7890,-6605,-4879,-3118,-1364,598,2549,4200,5733,7282,8492,9247,9850,10388,10547,10181,
9382,8394,7160,5400,3258,1235,-620,-2602,-4679,-6281,-7250,-8009,-8589,-8578,-7886,-6800,-5549,-4092,-2396,-560,
1243,2870,4328,5780,7150,8170,8894,9504,9925,9982,9637,8894,7811,6493,4829,2822,693,-1375,-3305,-4995,
-6437,-7475,-8023,-8103,-7870,-7355,-6558,-5448,-4161,-2916,-1784,-429,1112,2507,3696,4964,6171,7115,7730,8126,
8185,7783,6953,5837,4413,2696,726,-1308,-3280,-4978,-6393,-7609,-8480,-8912,-8958,-8629,-7910,-7029,-6036,-4767,
-3318,-1923,-605,709,1957,3178,4422,5436,6072,6523,6835,6671,5962,5010,3852,2162,125,-1830,-3666,-5553,
-7387,-8865,-9775,-10175,-10243,-9970,-9194,-7965,-6579,-5077,-3339,-1529,177,1926,3731,5329,6771,8182,9387,10059,
10380,10592,10436,9621,8278,6738,5081,3129,896,-1256,-3086,-4705,-6192,-7268,-7738,-7795,-7657,-7154,-6163,-4844,
-3427,-1894,-203,1546,3260,4908,6443,7768,8887,9775,10324,10430,10166,9560,8532,7076,5358,3498,1486,-556,
-2489,-4288,-5805,-6885,-7556,-7884,-7788,-7244,-6355,-5226,-3923,-2488,-936,676,2146,3500,4931,6223,7124,7765,
8370,8723,8553,7992,7180,6007,4456,2705,842,-1117,-3036,-4754,-6213,-7369,-8182,-8602,-8630,-8229,-7555,-6617,
-5341,-3903,-2575,-1156,499,2118,3454,4720,6030,7119,7840,8292,8459,8279,7713,6706,5303,3714,1937,-83,
-2172,-4069,-5726,-7165,-8283,-8992,-9295,-9178,-8643,-7857,-6819,-5448,-3892,-2345,-786,862,2475,3971,5347,6535,
7493,8223,8638,8605,8159,7422,6346,4827,2975,1027,-911,-2898,-4866,-6568,-7818,-8667,-9224,-9394,-9029,-8218,
-7173,-5920,-4417,-2741,-1062,542,2160,3750,5178,6410,7466,8294,8776,8894,8686,8056,6985,5633,4042,2141,
53,-1982,-3880,-5622,-7118,-8268,-9015,-9276,-9168,-8792,-8066,-6952,-5677,-4353,-2872,-1276,254,1698,3087,4343,
5420,6356,6954,7192,7174,6881,6110,4951,3580,1962,89,-1835,-3686,-5474,-7065,-8296,-9222,-9801,-9944,-9656,
-9055,-8136,-6932,-5552,-4017,-2371,-790,704,2236,3691,4835,5757,6580,7092,7181,6909,6320,5348,4001,2359,
491,-1487,-3461,-5417,-7212,-8694,-9823,-10604,-10950,-10826,-10334,-9486,-8305,-6885,-5340,-3696,-1951,-215,1419,2971,
4448,5760,6817,7578,8052,8205,7959,7282,6220,4866,3270,1427,-565,-2529,-4340,-5954,-7342,-8357,-8901,-9032,
-8816,-8227,-7294,-6092,-4713,-3207,-1632,-15,1594,3120,4520,5800,6907,7772,8370,8680,8593,8138,7369,6244,
4729,2992,1195,-681,-2584,-4280,-5672,-6759,-7500,-7830,-7739,-7228,-6365,-5264,-3950,-2413,-785,807,2390,4001,
5486,6812,8026,9057,9799,10252,10407,10155,9486,8507,7206,5546,3685,1741,-249,-2136,-3801,-5231,-6306,-6918,
-7108,-6968,-6417,-5464,-4263,-2912,-1387,236,1870,3512,5072,6502,7824,8984,9854,10412,10702,10669,10191,9307,
8084,6560,4755,2771,689,-1341,-3215,-4853,-6191,-7142,-7676,-7790,-7514,-6871,-5947,-4765,-3388,-1907,-417,1111,
2629,4074,5390,6539,7526,8308,8766,8851,8598,8027,7060,5697,4056,2241,286,-1719,-3638,-5374,-6813,-7894,
-8616,-8939,-8811,-8288,-7459,-6372,-5044,-3587,-2070,-499,1046,2503,3910,5205,6301,7153,7791,8122,8054,7597,
6787,5592,4080,2315,330,-1754,-3738,-5594,-7277,-8628,-9531,-10044,-10179,-9890,-9230,-8284,-7080,-5701,-4245,-2712,
-1120,403,1842,3238,4502,5557,6378,6958,7177,7030,6527,5633,4345,2788,1026,-917,-2920,-4807,-6515,-7955,
-9064,-9781,-10081,-9935,-9388,-8537,-7395,-5984,-4432,-2818,-1164,508,2133,3654,5059,6289,7315,8087,8534,8603,
8300,7620,6548,5130,3438,1565,-392,-2344,-4180,-5797,-7087,-8008,-8532,-8640,-8339,-7671,-6681,-5464,-4078,-2575,
-983,590,2124,3607,5007,6247,7305,8138,8682,8900,8772,8236,7312,6068,4522,2696,729,-1240,-3160,-4924,
-6419,-7565,-8347,-8683,-8604,-8162,-7381,-6267,-4960,-3525,-1970,-366,1214,2760,4238,5567,6730,7732,8450,8821,
8876,8592,7882,6784,5363,3674,1760,-239,-2226,-4124,-5785,-7114,-8126,-8761,-8935,-8707,-8153,-7258,-6087,-4738,
-3263,-1691,-125,1405,2917,4334,5581,6658,7545,8140,8383,8281,7790,6906,5681,4149,2352,403,-1566,-3490,
-5289,-6810,-7988,-8803,-9202,-9197,-8792,-8021,-6952,-5673,-4231,-2672,-1033,585,2162,3687,5089,6347,7381,8153,
8631,8772,8518,7873,6856,5513,3881,2046,100,-1850,-3688,-5302,-6658,-7653,-8215,-8374,-8157,-7562,-6641,-5476,
-4109,-2607,-1051,540,2137,3670,5093,6402,7563,8480,9127,9486,9474,9081,8315,7167,5666,3925,2044,48,
-1924,-3708,-5251,-6509,-7385,-7846,-7911,-7573,-6868,-5874,-4662,-3241,-1708,-172,1388,2940,4403,5735,6947,7948,
8689,9147,9274,8985,8310,7293,5918,4220,2319,306,-1755,-3725,-5487,-6992,-8144,-8874,-9202,-9140,-8676,-7857,
-6795,-5537,-4103,-2602,-1077,451,1919,3293,4547,5635,6491,7077,7366,7316,6868,6057,4895,3399,1663,-241,
-2235,-4184,-5995,-7562,-8827,-9715,-10197,-10263,-9934,-9250,-8268,-7037,-5634,-4135,-2586,-1020,497,1946,3273,4445,
5423,6176,6632,6754,6520,5927,4943,3599,1985,152,-1832,-3818,-5733,-7483,-8950,-10064,-10803,-11141,-11053,-10563,
-9755,-8662,-7332,-5862,-4296,-2676,-1065,478,1973,3358,4551,5530,6284,6719,6793,6496,5832,4786,3419,1787,
-50,-1969,-3839,-5603,-7166,-8403,-9261,-9737,-9802,-9444,-8719,-7700,-6406,-4921,-3342,-1683,16,1668,3243,4738,
6082,7222,8127,8757,9022,8938,8501,7646,6432,4955,3232,1359,-559,-2383,-4043,-5449,-6522,-7216,-7521,-7406,
-6928,-6121,-5032,-3712,-2259,-710,881,2480,4026,5495,6857,8052,9034,9783,10220,10308,10028,9370,8342,6981,
5337,3500,1574,-356,-2191,-3821,-5152,-6131,-6729,-6919,-6700,-6123,-5221,-4069,-2732,-1250,313,1886,3446,4966,
6370,7637,8740,9615,10204,10473,10390,9912,9051,7856,6349,4590,2678,733,-1177,-2935,-4437,-5626,-6455,-6854,
-6835,-6476,-5752,-4721,-3486,-2111,-620,917,2445,3940,5365,6660,7794,8752,9427,9797,9865,9569,8865,7811,
6423,4754,2870,901,-1082,-2968,-4643,-6016,-7062,-7719,-7952,-7794,-7284,-6436,-5334,-4047,-2620,-1105,410,1912,
3388,4760,5993,7063,7946,8547,8841,8793,8355,7563,6411,4933,3205,1323,-625,-2553,-4337,-5881,-7116,-7990,
-8458,-8519,-8194,-7508,-6527,-5319,-3936,-2435,-874,695,2232,3697,5049,6260,7264,8012,8480,8612,8370,7747,
6757,5426,3810,1973,12,-1961,-3841,-5532,-6964,-8046,-8713,-8988,-8866,-8353,-7516,-6419,-5114,-3656,-2125,-561,
1003,2514,3901,5188,6298,7167,7772,8085,8027,7608,6824,5683,4195,2477,594,-1377,-3323,-5121,-6690,-7979,
-8897,-9416,-9548,-9282,-8661,-7738,-6586,-5231,-3761,-2246,-694,847,2308,3671,4915,5965,6775,7307,7518,7351,
6816,5913,4669,3106,1345,-556,-2504,-4361,-6046,-7487,-8583,-9294,-9601,-9529,-9062,-8258,-7200,-5938,-4507,-3007,
-1464,86,1574,2982,4276,5403,6310,6952,7300,7295,6914,6163,5055,3621,1930,57,-1903,-3833,-5646,-7231,
-8512,-9436,-9958,-10064,-9789,-9155,-8212,-7019,-5646,-4151,-2591,-1007,548,2040,3436,4682,5746,6591,7157,7390,
7278,6805,5939,4716,3215,1487,-414,-2322,-4172,-5878,-7328,-8438,-9185,-9543,-9498,-9062,-8304,-7258,-5981,-4567,
-3044,-1466,104,1627,3096,4441,5616,6587,7337,7762,7845,7576,6923,5895,4549,2940,1117,-792,-2685,-4492,
-6092,-7398,-8340,-8918,-9070,-8825,-8227,-7313,-6125,-4761,-3280,-1714,-120,1463,2971,4398,5679,6765,7632,8217,
8466,8371,7915,7063,5858,4368,2626,727,-1218,-3093,-4821,-6294,-7448,-8216,-8596,-8562,-8152,-7410,-6367,-5092,
-3672,-2135,-554,1039,2586,4067,5440,6656,7672,8442,8908,9045,8809,8196,7205,5901,4291,2495,583,-1328,
-3148,-4771,-6107,-7104,-7709,-7910,-7706,-7135,-6244,-5101,-3763,-2267,-701,870,2452,3978,5408,6697,7820,8714,
9332,9634,9593,9155,8347,7185,5706,3966,2088,138,-1774,-3540,-5050,-6265,-7108,-7538,-7556,-7216,-6501,-5499,
-4273,-2879,-1368,193,1762,3306,4777,6124,7332,8343,9097,9550,9703,9481,8867,7900,6592,4984,3167,1240,
-716,-2589,-4263,-5662,-6730,-7413,-7680,-7564,-7070,-6236,-5149,-3845,-2395,-859,701,2254,3765,5186,6452,7562,
8450,9062,9366,9319,8902,8109,6949,5473,3752,1864,-91,-2030,-3830,-5393,-6665,-7573,-8074,-8185,-7892,-7264,
-6328,-5151,-3791,-2323,-783,758,2285,3739,5094,6303,7323,8081,8576,8733,8531,7951,7013,5727,4158,2368,
459,-1492,-3356,-5041,-6480,-7586,-8290,-8618,-8540,-8081,-7306,-6267,-5001,-3582,-2076,-520,1042,2555,3988,5302,
6445,7376,8048,8417,8412,8054,7323,6220,4774,3082,1217,-743,-2683,-4480,-6076,-7363,-8293,-8832,-8972,-8712,
-8103,-7183,-6022,-4666,-3194,-1663,-92,1459,2922,4295,5540,6585,7390,7931,8133,7986,7459,6575,5335,3810,
2069,187,-1729,-3571,-5249,-6681,-7783,-8516,-8851,-8806,-8369,-7606,-6579,-5335,-3930,-2440,-896,644,2138,3564,
4879,6019,6965,7649,8039,8085,7774,7100,6060,4695,3064,1245,-675,-2574,-4371,-5970,-7262,-8223,-8788,-8958,
-8730,-8152,-7265,-6115,-4778,-3308,-1771,-191,1364,2857,4258,5520,6602,7463,8043,8302,8211,7749,6902,5704,
4210,2472,578,-1355,-3247,-4978,-6470,-7641,-8439,-8841,-8837,-8459,-7739,-6734,-5505,-4132,-2640,-1096,429,1916,
3344,4645,5787,6726,7428,7831,7897,7602,6943,5905,4553,2910,1083,-846,-2772,-4605,-6242,-7602,-8606,-9244,
-9472,-9304,-8779,-7948,-6853,-5570,-4158,-2666,-1144,365,1826,3199,4447,5514,6370,6959,7223,7151,6718,5904,
4741,3274,1553,-316,-2252,-4140,-5884,-7399,-8594,-9420,-9862,-9894,-9562,-8876,-7904,-6698,-5333,-3841,-2309,-756,
759,2194,3546,4738,5745,6497,6971,7111,6895,6301,5353,4071,2509,751,-1117,-3005,-4791,-6398,-7721,-8720,
-9338,-9555,-9387,-8852,-7994,-6887,-5572,-4111,-2572,-1011,562,2080,3509,4802,5935,6856,7505,7842,7847,7464,
6728,5643,4239,2594,790,-1090,-2939,-4660,-6137,-7343,-8179,-8613,-8666,-8345,-7662,-6692,-5492,-4125,-2635,-1088,
481,2017,3495,4859,6092,7122,7909,8422,8610,8437,7902,7008,5775,4242,2497,637,-1259,-3080,-4720,-6089,
-7149,-7820,-8098,-7988,-7504,-6692,-5633,-4344,-2906,-1380,173,1729,3242,4666,5951,7087,8011,8673,9029,9042,
8687,7962,6880,5481,3820,1986,63,-1837,-3614,-5174,-6461,-7380,-7906,-8044,-7801,-7195,-6297,-5146,-3821,-2373,
-852,685,2206,3652,5014,6233,7257,8049,8570,8758,8593,8068,7171,5933,4406,2658,776,-1144,-2990,-4676,
-6127,-7235,-7968,-8329,-8284,-7865,-7132,-6120,-4887,-3504,-2019,-490,1049,2544,3959,5265,6402,7332,8019,8399,
8434,8119,7439,6393,5019,3391,1588,-320,-2215,-3991,-5572,-6861,-7820,-8381,-8555,-8339,-7771,-6894,-5771,-4450,
-3008,-1489,64,1595,3052,4429,5671,6719,7548,8093,8326,8211,7728,6883,5697,4205,2504,644,-1258,-3101,
-4795,-6249,-7379,-8157,-8541,-8539,-8140,-7414,-6411,-5187,-3789,-2289,-734,821,2334,3782,5113,6279,7247,7968,
8382,8459,8179,7540,6536,5205,3623,1838,-54,-1944,-3736,-5336,-6643,-7629,-8231,-8431,-8245,-7712,-6859,-5750,
-4446,-3011,-1486,72,1610,3095,4486,5742,6826,7680,8269,8546,8479,8044,7240,6092,4650,2961,1119,-773,
-2627,-4339,-5824,-7002,-7825,-8249,-8289,-7951,-7275,-6300,-5110,-3750,-2261,-724,810,2324,3770,5098,6267,7238,
7972,8409,8517,8273,7662,6684,5383,3799,2015,124,-1781,-3602,-5233,-6598,-7635,-8298,-8555,-8419,-7928,-7109,
-6018,-4729,-3302,-1783,-233,1308,2810,4212,5489,6594,7489,8101,8407,8386,7990,7222,6126,4718,3052,1233,
-652,-2520,-4240,-5754,-6955,-7801,-8258,-8324,-8011,-7359,-6405,-5226,-3871,-2392,-848,700,2217,3677,5031,6232,
7244,8020,8505,8679,8487,7918,7005,5750,4199,2452,578,-1325,-3145,-4791,-6177,-7236,-7925,-8219,-8116,-7658,
-6869,-5816,-4552,-3131,-1624,-77,1468,2975,4388,5684,6819,7738,8393,8748,8768,8409,7693,6612,5224,3582,
1776,-128,-1999,-3747,-5286,-6537,-7438,-7948,-8070,-7813,-7194,-6294,-5139,-3807,-2348,-819,733,2257,3721,5090,
6319,7344,8130,8639,8829,8659,8120,7227,5985,4460,2701,823,-1095,-2944,-4634,-6060,-7172,-7916,-8270,-8229,
-7817,-7074,-6068,-4842,-3444,-1958,-430,1098,2590,3997,5278,6407,7317,7983,8342,8370,8030,7334,6274,4904,
3283,1478,-424,-2316,-4086,-5665,-6959,-7911,-8483,-8654,-8447,-7887,-7023,-5898,-4591,-3154,-1637,-89,1438,2901,
4275,5522,6569,7386,7934,8150,8021,7525,6660,5462,3967,2239,375,-1536,-3385,-5082,-6544,-7674,-8453,-8846,
-8828,-8450,-7739,-6749,-5535,-4153,-2666,-1132,419,1931,3368,4687,5850,6807,7517,7911,7985,7699,7042,6020,
4679,3083,1293,-608,-2494,-4278,-5867,-7180,-8155,-8748,-8955,-8762,-8239,-7388,-6290,-5000,-3583,-2084,-545,977,
2437,3819,5064,6127,6961,7530,7789,7706,7255,6446,5283,3829,2141,299,-1591,-3429,-5141,-6601,-7766,-8573,
-8998,-9027,-8687,-7999,-7036,-5840,-4475,-2999,-1462,74,1587,3033,4367,5541,6535,7269,7719,7836,7600,6995,
6034,4750,3198,1441,-419,-2305,-4102,-5707,-7037,-8057,-8693,-8927,-8786,-8284,-7470,-6388,-5098,-3666,-2146,-591,
959,2464,3879,5154,6264,7151,7758,8070,8041,7651,6889,5791,4394,2753,953,-897,-2723,-4408,-5876,-7040,
-7863,-8288,-8333,-7997,-7325,-6351,-5166,-3793,-2298,-746,818,2358,3836,5198,6411,7431,8211,8706,8873,8697,
8155,7254,6023,4518,2798,969,-892,-2668,-4270,-5623,-6650,-7327,-7606,-7501,-7034,-6249,-5194,-3943,-2534,-1040,
503,2020,3516,4927,6208,7332,8234,8871,9202,9197,8834,8090,7016,5624,3989,2180,288,-1570,-3308,-4841,
-6082,-6964,-7477,-7592,-7338,-6732,-5834,-4704,-3384,-1941,-439,1085,2591,4023,5356,6552,7542,8310,8789,8952,
8754,8206,7296,6047,4511,2765,892,-1015,-2853,-4521,-5943,-7046,-7794,-8143,-8115,-7708,-6983,-5991,-4777,-3406,
-1952,-437,1075,2547,3937,5198,6304,7202,7840,8190,8191,7839,7126,6062,4686,3062,1258,-627,-2497,-4258,
-5807,-7090,-8022,-8587,-8759,-8542,-7970,-7109,-5998,-4705,-3279,-1773,-243,1261,2723,4085,5311,6340,7147,7678,
7905,7771,7290,6448,5270,3802,2105,270,-1593,-3409,-5068,-6490,-7600,-8349,-8711,-8685,-8281,-7558,-6553,-5315,
-3925,-2432,-886,673,2195,3639,4961,6128,7086,7802,8221,8292,8030,7394,6404,5105,3538,1793,-58,-1905,
-3648,-5196,-6480,-7427,-8006,-8188,-7990,-7445,-6588,-5467,-4173,-2740,-1231,311,1837,3301,4676,5920,6985,7819,
8392,8637,8532,8066,7247,6098,4653,2974,1154,-715,-2526,-4196,-5644,-6775,-7565,-7978,-8002,-7672,-7006,-6065,
-4902,-3566,-2115,-603,940,2443,3883,5199,6372,7347,8078,8485,8550,8271,7637,6665,5346,3774,2005,142,
-1714,-3481,-5068,-6408,-7414,-8055,-8303,-8181,-7718,-6934,-5902,-4660,-3288,-1813,-307,1201,2643,4009,5250,6323,
7157,7715,7978,7900,7451,6657,5520,4073,2397,575,-1306,-3149,-4864,-6358,-7556,-8410,-8869,-8946,-8661,-8044,
-7134,-5989,-4663,-3224,-1726,-218,1281,2722,4053,5209,6181,6904,7341,7451,7207,6619,5675,4421,2920,1194,
-640,-2508,-4295,-5894,-7248,-8301,-8975,-9258,-9145,-8685,-7905,-6863,-5613,-4220,-2725,-1195,322,1801,3195,4459,
5571,6451,7081,7409,7397,7017,6275,5200,3824,2196,391,-1467,-3316,-5029,-6526,-7749,-8632,-9140,-9256,-8986,
-8388,-7488,-6361,-5032,-3569,-2040,-507,1011,2466,3822,5028,6040,6812,7305,7473,7302,6767,5871,4645,3134,
1449,-377,-2241,-4024,-5646,-7030,-8084,-8784,-9099,-9033,-8612,-7858,-6829,-5600,-4204,-2722,-1193,345,1841,3255,
4548,5673,6592,7243,7609,7645,7325,6642,5628,4299,2737,1001,-827,-2632,-4323,-5823,-7029,-7899,-8409,-8541,
-8294,-7703,-6806,-5677,-4361,-2907,-1395,152,1666,3131,4495,5717,6760,7578,8121,8357,8238,7777,6960,5809,
4360,2708,907,-935,-2720,-4357,-5748,-6838,-7578,-7912,-7874,-7465,-6731,-5731,-4496,-3112,-1629,-90,1451,2954,
4372,5681,6842,7798,8499,8912,8998,8728,8090,7104,5796,4240,2490,651,-1180,-2921,-4460,-5739,-6679,-7245,
-7433,-7244,-6706,-5864,-4779,-3506,-2097,-614,902,2399,3844,5193,6401,7432,8248,8798,9035,8919,8462,7636,
6475,5020,3335,1508,-361,-2200,-3886,-5344,-6508,-7310,-7743,-7789,-7468,-6826,-5898,-4745,-3432,-2009,-529,961,
2424,3802,5068,6193,7112,7806,8197,8272,8007,7378,6390,5097,3546,1799,-59,-1916,-3681,-5271,-6605,-7602,
-8245,-8497,-8374,-7895,-7104,-6050,-4800,-3411,-1933,-412,1076,2521,3872,5096,6137,6966,7534,7792,7721,7297,
6519,5407,4007,2370,586,-1265,-3073,-4767,-6224,-7386,-8219,-8666,-8718,-8411,-7762,-6841,-5670,-4330,-2873,-1363,
183,1685,3126,4454,5628,6604,7353,7808,7942,7727,7156,6240,5003,3494,1787,-26,-1863,-3614,-5199,-6519,
-7537,-8188,-8460,-8357,-7905,-7123,-6092,-4850,-3478,-1997,-477,1043,2516,3911,5173,6272,7152,7769,8094,8079,
7705,6986,5919,4561,2946,1178,-658,-2471,-4175,-5649,-6856,-7725,-8220,-8337,-8089,-7493,-6617,-5496,-4197,-2767,
-1279,230,1718,3148,4470,5650,6642,7402,7870,8014,7818,7268,6361,5130,3620,1904,74,-1797,-3593,-5213,
-6593,-7665,-8374,-8703,-8651,-8245,-7518,-6522,-5314,-3956,-2491,-989,521,1986,3368,4627,5731,6610,7240,7577,
7583,7237,6527,5485,4140,2543,780,-1060,-2889,-4609,-6122,-7368,-8262,-8798,-8943,-8716,-8147,-7276,-6162,-4868,
-3428,-1925,-406,1126,2573,3940,5153,6182,6989,7522,7728,7617,7132,6312,5157,3712,2068,288,-1538,-3297,
-4907,-6282,-7363,-8080,-8431,-8385,-7988,-7267,-6263,-5040,-3659,-2173,-632,924,2435,3869,5187,6344,7294,7988,
8389,8471,8192,7555,6579,5291,3757,2031,217,-1579,-3280,-4799,-6039,-6951,-7497,-7669,-7461,-6904,-6048,-4939,
-3634,-2193,-672,877,2410,3899,5285,6527,7593,8421,8982,9234,9128,8683,7884,6746,5318,3677,1883,46,
-1747,-3399,-4819,-5950,-6730,-7135,-7161,-6821,-6165,-5232,-4062,-2728,-1304,196,1695,3166,4557,5830,6959,7880,
8560,8950,9019,8736,8097,7111,5812,4261,2510,661,-1197,-2963,-4552,-5874,-6876,-7514,-7773,-7652,-7182,-6400,
-5363,-4137,-2766,-1301,200,1683,3128,4463,5686,6717,7540,8096,8347,8261,7826,7035,5911,4502,2852,1058,
-788,-2606,-4278,-5737,-6908,-7734,-8190,-8264,-7965,-7346,-6434,-5300,-3986,-2570,-1091,410,1875,3276,4565,5709,
6650,7358,7768,7874,7634,7035,6094,4847,3325,1611,-211,-2049,-3802,-5382,-6707,-7712,-8359,-8630,-8530,-8078,
-7309,-6280,-5058,-3672,-2203,-697,803,2263,3635,4884,5957,6822,7423,7724,7688,7309,6570,5506,4137,2536,
781,-1051,-2849,-4527,-5997,-7177,-8032,-8508,-8607,-8339,-7731,-6845,-5719,-4412,-2986,-1486,35,1535,2972,4299,
5482,6478,7240,7715,7890,7716,7194,6311,5102,3635,1968,157,-1660,-3424,-5019,-6371,-7422,-8111,-8420,-8360,
-7948,-7211,-6206,-4989,-3635,-2176,-669,834,2296,3681,4932,6020,6894,7513,7840,7843,7484,6783,5740,4409,
2823,1077,-746,-2549,-4250,-5731,-6947,-7829,-8342,-8496,-8260,-7693,-6842,-5739,-4456,-3040,-1562,-60,1437,2874,
4207,5403,6409,7190,7701,7895,7752,7262,6417,5251,3817,2171,389,-1422,-3175,-4770,-6130,-7201,-7907,-8252,
-8216,-7831,-7122,-6145,-4946,-3599,-2137,-635,880,2355,3759,5053,6174,7087,7761,8132,8186,7895,7244,6252,
4966,3435,1714,-90,-1891,-3586,-5094,-6334,-7250,-7802,-7976,-7785,-7257,-6425,-5358,-4087,-2686,-1219,291,1790,
3222,4561,5760,6783,7585,8121,8343,8243,7782,6978,5850,4427,2806,1051,-773,-2528,-4150,-5549,-6653,-7414,
-7806,-7818,-7483,-6824,-5888,-4742,-3419,-1997,-518,973,2429,3812,5083,6195,7104,7766,8154,8216,7935,7305,
6336,5058,3533,1812,2,-1804,-3524,-5076,-6364,-7324,-7942,-8180,-8052,-7574,-6791,-5771,-4544,-3175,-1727,-245,
1231,2666,4009,5212,6251,7066,7619,7867,7778,7352,6573,5465,4076,2456,689,-1129,-2915,-4567,-5998,-7141,
-7944,-8376,-8437,-8133,-7512,-6593,-5449,-4136,-2716,-1223,278,1752,3147,4442,5585,6544,7247,7674,7780,7558,
6977,6054,4817,3340,1647,-131,-1935,-3646,-5196,-6498,-7470,-8095,-8345,-8228,-7756,-6984,-5955,-4731,-3350,-1888,
-381,1128,2587,3961,5213,6286,7148,7755,8069,8041,7683,6972,5926,4586,3024,1300,-489,-2258,-3895,-5328,
-6484,-7311,-7770,-7855,-7572,-6977,-6076,-4951,-3648,-2226,-738,772,2263,3682,4997,6173,7150,7898,8356,8508,
8332,7792,6914,5725,4260,2602,815,-987,-2716,-4295,-5626,-6648,-7330,-7635,-7577,-7166,-6444,-5454,-4263,-2909,
-1466,25,1511,2960,4320,5558,6631,7497,8101,8422,8408,8041,7331,6295,4945,3372,1627,-189,-1987,-3683,
-5172,-6391,-7284,-7819,-7965,-7765,-7224,-6403,-5333,-4083,-2711,-1273,205,1661,3053,4347,5507,6474,7214,7681,
7848,7676,7163,6301,5124,3670,2015,225,-1583,-3345,-4953,-6328,-7406,-8129,-8485,-8473,-8108,-7422,-6468,-5300,
-3979,-2547,-1062,416,1865,3234,4488,5581,6463,7105,7459,7486,7174,6518,5522,4229,2686,971,-826,-2616,
-4305,-5802,-7046,-7961,-8515,-8698,-8513,-7988,-7172,-6105,-4847,-3463,-1998,-503,988,2422,3754,4955,5976,6776,
7298,7514,7406,6947,6144,5022,3624,2014,271,-1519,-3259,-4856,-6217,-7304,-8037,-8402,-8411,-8057,-7385,-6431,
-5271,-3929,-2508,-1010,504,1977,3378,4671,5804,6736,7433,7830,7917,7658,7049,6110,4868,3365,1691,-86,
-1861,-3551,-5056,-6307,-7237,-7825,-8029,-7884,-7383,-6592,-5547,-4306,-2921,-1460,44,1542,2982,4335,5551,6588,
7413,7978,8228,8156,7735,6971,5884,4506,2915,1177,-623,-2376,-4003,-5412,-6542,-7346,-7772,-7824,-7537,-6906,
-6005,-4867,-3568,-2161,-673,819,2287,3692,4975,6115,7047,7740,8159,8257,8012,7425,6494,5254,3752,2067,
272,-1526,-3252,-4807,-6111,-7106,-7747,-8022,-7925,-7484,-6737,-5734,-4527,-3173,-1734,-252,1222,2666,4013,5229,
6282,7112,7688,7964,7908,7510,6775,5706,4350,2769,1034,-774,-2546,-4194,-5633,-6806,-7640,-8111,-8220,-7961,
-7384,-6511,-5412,-4132,-2732,-1266,222,1694,3095,4395,5545,6507,7227,7681,7817,7614,7064,6179,4986,3524,
1860,101,-1694,-3413,-4981,-6304,-7324,-7987,-8293,-8211,-7793,-7067,-6077,-4873,-3521,-2073,-575,919,2380,3747,
4993,6071,6939,7558,7877,7870,7532,6837,5813,4492,2938,1233,-556,-2328,-3975,-5433,-6626,-7491,-7988,-8123,
-7888,-7323,-6470,-5380,-4109,-2706,-1237,260,1738,3150,4474,5641,6623,7382,7866,8045,7890,7389,6555,5403,
3985,2362,602,-1179,-2893,-4470,-5811,-6855,-7559,-7893,-7860,-7481,-6794,-5830,-4666,-3328,-1907,-420,1059,2513,
3884,5137,6220,7106,7745,8090,8119,7792,7131,6148,4848,3324,1621,-158,-1933,-3610,-5103,-6334,-7253,-7808,
-7999,-7821,-7318,-6518,-5478,-4240,-2879,-1434,48,1514,2926,4228,5402,6393,7160,7649,7848,7707,7215,6393,
5249,3824,2192,429,-1373,-3123,-4731,-6124,-7221,-7977,-8370,-8401,-8072,-7433,-6519,-5384,-4090,-2684,-1218,245,
1694,3062,4318,5412,6301,6959,7329,7380,7096,6468,5510,4243,2734,1048,-729,-2514,-4198,-5701,-6953,-7898,
-8486,-8711,-8565,-8085,-7306,-6272,-5054,-3684,-2244,-764,713,2139,3464,4679,5698,6504,7043,7294,7210,6799,
6018,4942,3572,1991,261,-1518,-3258,-4864,-6261,-7374,-8147,-8567,-8608,-8309,-7667,-6756,-5630,-4330,-2902,-1424,
73,1535,2941,4238,5376,6318,7031,7456,7572,7341,6769,5870,4660,3196,1552,-196,-1962,-3641,-5152,-6408,
-7355,-7969,-8203,-8080,-7609,-6845,-5821,-4596,-3220,-1775,-268,1224,2679,4036,5265,6316,7169,7752,8041,8012,
7626,6911,5861,4534,2985,1288,-475,-2200,-3813,-5221,-6357,-7164,-7613,-7694,-7431,-6832,-5960,-4856,-3578,-2183,
-714,781,2240,3649,4940,6087,7043,7763,8214,8348,8145,7601,6721,5535,4086,2445,697,-1079,-2788,-4331,
-5637,-6649,-7309,-7612,-7547,-7135,-6422,-5456,-4266,-2937,-1511,-44,1425,2860,4204,5424,6479,7316,7906,8200,
8170,7809,7101,6065,4751,3200,1492,-292,-2058,-3710,-5156,-6350,-7220,-7731,-7874,-7662,-7129,-6302,-5235,-3989,
-2622,-1169,307,1757,3147,4434,5584,6544,7268,7736,7890,7715,7194,6346,5182,3759,2131,395,-1380,-3094,
-4660,-5999,-7037,-7741,-8091,-8064,-7697,-7020,-6085,-4936,-3630,-2212,-764,709,2143,3501,4736,5803,6680,7311,
7645,7668,7362,6712,5738,4461,2955,1279,-473,-2221,-3859,-5323,-6520,-7409,-7941,-8103,-7920,-7398,-6585,-5530,
-4293,-2921,-1476,11,1486,2896,4219,5397,6399,7168,7678,7885,7773,7312,6519,5401,4025,2427,707,-1062,
-2760,-4342,-5689,-6751,-7486,-7854,-7863,-7526,-6866,-5938,-4801,-3492,-2083,-609,865,2306,3685,4934,6028,6935,
7583,7957,8013,7739,7133,6189,4946,3464,1807,58,-1692,-3345,-4827,-6046,-6977,-7545,-7754,-7612,-7131,-6363,
-5343,-4120,-2778,-1344,127,1583,2999,4312,5501,6520,7303,7833,8073,7970,7551,6774,5683,4324,2744,1019,
-739,-2468,-4067,-5461,-6568,-7349,-7767,-7838,-7540,-6936,-6042,-4938,-3671,-2281,-827,634,2069,3440,4697,5798,
6710,7383,7782,7852,7611,7022,6099,4878,3402,1752,0,-1773,-3453,-4958,-6228,-7199,-7814,-8073,-7969,-7537,
-6797,-5807,-4608,-3290,-1869,-407,1063,2471,3794,4999,6019,6837,7387,7652,7591,7207,6461,5417,4079,2537,
834,-925,-2648,-4249,-5651,-6778,-7582,-8031,-8119,-7855,-7266,-6398,-5313,-4043,-2660,-1210,266,1714,3103,4384,
5514,6453,7176,7619,7753,7553,7017,6160,4991,3560,1949,216,-1528,-3206,-4731,-6013,-7004,-7652,-7936,-7869,
-7454,-6741,-5773,-4598,-3266,-1849,-375,1102,2532,3876,5092,6150,7006,7589,7897,7882,7530,6840,5822,4528,
3007,1327,-422,-2148,-3761,-5182,-6347,-7181,-7666,-7795,-7578,-7017,-6189,-5113,-3876,-2501,-1055,412,1858,3253,
4550,5698,6658,7389,7851,8014,7840,7333,6490,5351,3941,2334,611,-1141,-2824,-4364,-5674,-6698,-7385,-7724,
-7695,-7324,-6656,-5721,-4579,-3278,-1881,-441,1013,2427,3770,4985,6045,6903,7514,7830,7845,7519,6861,5875,
4609,3105,1442,-314,-2049,-3684,-5137,-6340,-7222,-7764,-7939,-7768,-7270,-6478,-5438,-4228,-2872,-1449,6,1453,
2842,4134,5283,6258,7012,7494,7688,7547,7066,6256,5146,3747,2168,454,-1304,-3008,-4575,-5930,-6990,-7726,
-8114,-8130,-7810,-7167,-6269,-5147,-3865,-2474,-1030,437,1863,3220,4466,5539,6421,7060,7417,7465,7181,6557,
5608,4365,2891,1237,-505,-2236,-3876,-5342,-6564,-7480,-8048,-8254,-8105,-7628,-6859,-5845,-4638,-3302,-1882,-407,
1040,2442,3760,4944,5952,6732,7252,7495,7404,6974,6221,5151,3810,2247,555,-1191,-2888,-4458,-5819,-6904,
-7663,-8072,-8121,-7822,-7200,-6315,-5202,-3921,-2520,-1060,411,1861,3242,4508,5624,6541,7213,7618,7707,7470,
6894,5982,4779,3330,1699,-32,-1772,-3427,-4907,-6156,-7101,-7700,-7946,-7831,-7392,-6642,-5653,-4453,-3128,-1693,
-230,1231,2645,3968,5163,6198,7001,7559,7822,7765,7363,6641,5598,4280,2740,1058,-672,-2379,-3969,-5361,
-6474,-7267,-7712,-7801,-7536,-6954,-6102,-5021,-3772,-2390,-949,514,1955,3333,4612,5719,6642,7345,7778,7894,
7694,7146,6285,5104,3688,2076,368,-1379,-3033,-4538,-5816,-6799,-7442,-7732,-7658,-7267,-6560,-5596,-4437,-3126,
-1717,-264,1201,2608,3937,5144,6179,7017,7591,7879,7861,7497,6795,5793,4496,2975,1294,-446,-2155,-3763,
-5176,-6324,-7154,-7638,-7762,-7547,-6994,-6164,-5110,-3866,-2497,-1062,404,1841,3225,4505,5645,6599,7325,7785,
7939,7764,7259,6430,5291,3892,2310,605,-1129,-2802,-4326,-5614,-6622,-7300,-7614,-7585,-7202,-6527,-5586,-4439,
-3132,-1730,-268,1189,2618,3968,5190,6254,7116,7722,8059,8074,7762,7102,6133,4876,3394,1740,16,-1695,
-3309,-4732,-5911,-6776,-7297,-7466,-7280,-6766,-5964,-4929,-3714,-2363,-929,528,1979,3375,4674,5830,6801,7551,
8044,8229,8088,7621,6816,5709,4337,2760,1066,-668,-2345,-3888,-5213,-6259,-6981,-7353,-7358,-7029,-6393,-5484,
-4369,-3085,-1699,-267,1193,2614,3957,5187,6260,7127,7759,8101,8138,7849,7218,6266,5031,3553,1907,170,
-1564,-3203,-4660,-5885,-6790,-7363,-7577,-7444,-6982,-6231,-5239,-4058,-2728,-1325,119,1551,2930,4210,5371,6341,
7103,7600,7799,7687,7244,6458,5372,4016,2451,765,-986,-2688,-4262,-5624,-6715,-7485,-7908,-7965,-7685,-7085,
-6230,-5150,-3893,-2527,-1111,343,1754,3095,4318,5403,6291,6938,7306,7376,7113,6515,5593,4377,2920,1295,
-435,-2168,-3823,-5308,-6565,-7514,-8130,-8376,-8290,-7862,-7139,-6174,-5004,-3694,-2301,-858,580,1967,3277,4442,
5442,6226,6755,6998,6929,6515,5774,4724,3408,1876,205,-1526,-3221,-4805,-6173,-7284,-8073,-8524,-8617,-8366,
-7795,-6951,-5873,-4631,-3264,-1839,-392,1035,2407,3655,4771,5693,6377,6792,6907,6699,6155,5288,4124,2716,
1126,-571,-2291,-3932,-5408,-6665,-7634,-8250,-8528,-8456,-8047,-7337,-6380,-5214,-3906,-2491,-1041,420,1831,3159,
4369,5412,6241,6820,7117,7102,6753,6063,5076,3808,2312,672,-1039,-2727,-4299,-5693,-6808,-7623,-8095,-8211,
-7976,-7425,-6590,-5550,-4306,-2936,-1497,-37,1413,2803,4081,5212,6169,6896,7350,7506,7342,6848,6020,4891,
3515,1950,269,-1439,-3083,-4578,-5849,-6839,-7511,-7817,-7776,-7409,-6726,-5788,-4643,-3340,-1949,-494,972,2387,
3724,4959,6019,6871,7475,7800,7811,7496,6841,5877,4630,3153,1514,-192,-1890,-3486,-4907,-6061,-6919,-7429,
-7594,-7420,-6904,-6113,-5094,-3883,-2538,-1129,316,1750,3125,4405,5542,6516,7251,7725,7901,7757,7284,6484,
5379,4014,2457,767,-947,-2629,-4158,-5480,-6513,-7230,-7588,-7603,-7276,-6649,-5760,-4647,-3386,-2010,-577,866,
2266,3599,4813,5874,6736,7353,7702,7727,7433,6807,5860,4633,3175,1542,-167,-1870,-3495,-4931,-6139,-7032,
-7586,-7803,-7650,-7192,-6436,-5435,-4259,-2930,-1530,-92,1340,2726,4009,5163,6144,6907,7406,7618,7505,7067,
6301,5229,3890,2354,692,-1022,-2690,-4226,-5563,-6620,-7357,-7758,-7799,-7502,-6900,-6019,-4929,-3671,-2301,-872,
583,2007,3355,4596,5695,6590,7243,7626,7712,7468,6898,5998,4819,3400,1804,108,-1582,-3188,-4642,-5854,
-6768,-7345,-7582,-7462,-7025,-6292,-5309,-4141,-2817,-1409,42,1482,2877,4185,5363,6367,7163,7695,7946,7881,
7481,6759,5730,4437,2924,1270,-428,-2102,-3656,-5014,-6100,-6878,-7314,-7398,-7145,-6569,-5736,-4677,-3442,-2088,
-675,766,2181,3533,4774,5867,6769,7442,7839,7948,7726,7179,6298,5130,3723,2133,439,-1273,-2913,-4394,
-5652,-6624,-7262,-7557,-7504,-7108,-6422,-5489,-4355,-3082,-1704,-272,1152,2527,3829,5001,6007,6798,7344,7603,
7558,7174,6477,5462,4167,2662,1008,-707,-2395,-3987,-5378,-6512,-7337,-7834,-7979,-7775,-7243,-6458,-5425,-4223,
-2889,-1488,-59,1346,2709,3953,5069,5988,6684,7111,7234,7044,6527,5678,4542,3156,1580,-108,-1825,-3467,
-4966,-6245,-7243,-7910,-8233,-8203,-7852,-7193,-6272,-5147,-3876,-2494,-1058,381,1788,3106,4316,5356,6190,6794,
7098,7101,6784,6126,5158,3921,2451,837,-861,-2540,-4122,-5514,-6662,-7500,-8014,-8161,-7964,-7454,-6663,-5636,
-4420,-3075,-1657,-207,1240,2623,3902,5050,6022,6765,7246,7425,7299,6831,6053,4962,3620,2087,436,-1264,
-2900,-4398,-5685,-6705,-7397,-7744,-7735,-7398,-6755,-5848,-4726,-3449,-2073,-622,837,2250,3594,4830,5899,6770,
7396,7743,7788,7507,6891,5969,4759,3321,1711,26,-1646,-3236,-4662,-5831,-6707,-7247,-7446,-7297,-6819,-6061,
-5064,-3877,-2552,-1140,309,1735,3114,4401,5549,6533,7290,7791,7990,7879,7440,6675,5606,4285,2760,1104,
-599,-2259,-3793,-5116,-6178,-6910,-7310,-7352,-7067,-6472,-5612,-4525,-3289,-1940,-516,911,2314,3644,4863,5924,
6800,7432,7800,7857,7596,7001,6095,4910,3479,1878,189,-1497,-3115,-4562,-5783,-6708,-7293,-7550,-7449,-7022,
-6306,-5353,-4208,-2913,-1523,-101,1317,2691,3979,5133,6109,6880,7401,7637,7545,7140,6404,5365,4062,2555,
908,-789,-2466,-4006,-5358,-6438,-7221,-7663,-7745,-7498,-6940,-6111,-5052,-3838,-2496,-1088,338,1749,3074,4304,
5395,6289,6949,7338,7439,7221,6660,5792,4644,3254,1677,4,-1685,-3294,-4757,-5991,-6925,-7551,-7823,-7757,
-7361,-6664,-5728,-4599,-3311,-1926,-500,929,2312,3622,4806,5812,6619,7172,7444,7408,7040,6357,5363,4098,
2630,1018,-670,-2330,-3878,-5238,-6340,-7140,-7600,-7711,-7493,-6955,-6150,-5112,-3897,-2563,-1140,295,1709,3076,
4321,5433,6361,7060,7501,7637,7466,6953,6126,5005,3646,2093,434,-1238,-2856,-4321,-5585,-6552,-7203,-7511,
-7479,-7106,-6435,-5527,-4406,-3140,-1760,-339,1088,2476,3794,4987,6011,6833,7414,7726,7714,7385,6743,5779,
4545,3094,1486,-193,-1856,-3419,-4808,-5937,-6774,-7278,-7443,-7258,-6761,-5990,-4985,-3798,-2477,-1087,329,1743,
3100,4351,5470,6405,7128,7585,7738,7588,7118,6318,5229,3887,2356,710,-978,-2608,-4100,-5390,-6393,-7092,
-7447,-7464,-7148,-6532,-5659,-4571,-3331,-1972,-567,859,2234,3541,4735,5776,6613,7216,7549,7564,7257,6631,
5701,4489,3047,1454,-228,-1896,-3479,-4890,-6065,-6944,-7491,-7690,-7549,-7083,-6343,-5371,-4206,-2905,-1528,-115,
1297,2656,3916,5039,5993,6733,7210,7400,7285,6840,6079,5016,3703,2192,553,-1132,-2766,-4275,-5588,-6629,
-7360,-7757,-7800,-7521,-6923,-6066,-5003,-3770,-2435,-1028,396,1783,3112,4322,5385,6251,6868,7229,7295,7036,
6450,5559,4390,2986,1404,-255,-1921,-3503,-4933,-6120,-7021,-7591,-7829,-7728,-7299,-6580,-5627,-4470,-3179,-1796,
-380,1035,2406,3692,4836,5830,6596,7114,7338,7263,6866,6151,5121,3850,2364,751,-929,-2561,-4081,-5398,
-6469,-7225,-7641,-7713,-7453,-6896,-6071,-5015,-3801,-2465,-1067,369,1761,3095,4316,5399,6279,6940,7339,7435,
7211,6663,5801,4662,3290,1729,85,-1579,-3177,-4612,-5830,-6762,-7366,-7641,-7571,-7162,-6481,-5551,-4428,-3157,
-1787,-372,1032,2406,3691,4857,5851,6641,7190,7449,7405,7043,6355,5360,4106,2635,1035,-636,-2282,-3817,
-5164,-6258,-7062,-7531,-7647,-7432,-6909,-6099,-5093,-3895,-2581,-1189,227,1634,2961,4199,5289,6198,6877,7293,
7415,7225,6714,5886,4769,3413,1867,222,-1454,-3057,-4519,-5769,-6732,-7390,-7689,-7666,-7311,-6655,-5759,-4654,
-3395,-2035,-626,782,2156,3456,4633,5644,6459,7025,7317,7298,6967,6320,5359,4131,2693,1100,-559,-2209,
-3758,-5121,-6237,-7066,-7567,-7719,-7536,-7041,-6276,-5273,-4090,-2781,-1397,30,1440,2790,4031,5153,6091,6799,
7262,7429,7284,6814,6016,4945,3627,2112,477,-1178,-2793,-4251,-5525,-6516,-7198,-7527,-7535,-7201,-6577,-5689,
-4609,-3355,-2005,-587,827,2217,3526,4731,5769,6614,7216,7544,7566,7278,6671,5749,4562,3140,1566,-84,
-1739,-3296,-4683,-5832,-6686,-7231,-7418,-7266,-6800,-6062,-5079,-3914,-2611,-1234,181,1596,2953,4206,5337,6292,
7027,7506,7695,7590,7145,6393,5337,4036,2540,921,-746,-2360,-3848,-5148,-6162,-6887,-7264,-7305,-7023,-6432,
-5579,-4523,-3298,-1957,-558,852,2235,3552,4759,5811,6660,7291,7640,7695,7424,6839,5944,4776,3367,1804,
153,-1502,-3080,-4503,-5682,-6582,-7163,-7394,-7298,-6873,-6165,-5233,-4087,-2810,-1451,-41,1361,2725,3989,5119,
6090,6846,7339,7554,7468,7050,6328,5294,4014,2526,904,-764,-2393,-3909,-5230,-6301,-7064,-7485,-7566,-7333,
-6779,-5968,-4924,-3725,-2408,-1014,397,1782,3108,4315,5383,6247,6884,7266,7350,7108,6558,5693,4541,3159,
1610,-38,-1693,-3286,-4720,-5929,-6862,-7475,-7756,-7696,-7305,-6637,-5715,-4601,-3337,-1982,-585,814,2171,3445,
4591,5581,6361,6894,7137,7085,6714,6030,5033,3792,2332,743,-924,-2563,-4086,-5420,-6521,-7313,-7765,-7887,
-7683,-7168,-6380,-5359,-4175,-2858,-1467,-62,1338,2664,3893,4983,5884,6557,6976,7099,6909,6387,5561,4464,
3109,1582,-46,-1693,-3281,-4733,-5963,-6918,-7554,-7867,-7824,-7474,-6827,-5932,-4825,-3571,-2219,-818,592,1969,
3261,4427,5437,6243,6818,7102,7081,6754,6106,5157,3937,2499,935,-714,-2349,-3871,-5227,-6332,-7163,-7648,
-7801,-7612,-7123,-6352,-5361,-4190,-2882,-1501,-86,1317,2654,3902,5009,5942,6640,7096,7249,7107,6627,5847,
4779,3455,1952,333,-1314,-2903,-4377,-5622,-6606,-7286,-7627,-7635,-7310,-6693,-5819,-4736,-3488,-2142,-742,674,
2056,3365,4554,5583,6419,7013,7342,7355,7057,6449,5524,4328,2929,1367,-276,-1919,-3460,-4833,-5976,-6830,
-7350,-7549,-7398,-6944,-6216,-5239,-4086,-2794,-1420,-8,1402,2750,3995,5122,6074,6797,7275,7463,7341,6900,
6138,5088,3806,2316,698,-939,-2543,-4019,-5297,-6313,-7021,-7401,-7440,-7145,-6567,-5715,-4657,-3435,-2108,-712,
705,2097,3410,4614,5658,6513,7134,7494,7539,7284,6706,5819,4657,3268,1718,88,-1554,-3109,-4499,-5661,
-6552,-7118,-7352,-7234,-6823,-6115,-5158,-4028,-2742,-1386,29,1439,2797,4063,5204,6172,6925,7429,7649,7556,
7155,6426,5415,4145,2679,1076,-580,-2188,-3684,-4994,-6030,-6785,-7206,-7281,-7038,-6488,-5671,-4648,-3438,-2120,
-736,669,2053,3361,4578,5637,6501,7149,7516,7602,7358,6808,5953,4815,3434,1906,273,-1377,-2952,-4370,
-5573,-6495,-7103,-7370,-7318,-6933,-6270,-5366,-4254,-3000,-1658,-262,1133,2490,3747,4886,5856,6630,7148,7386,
7326,6945,6247,5255,4009,2567,968,-677,-2295,-3808,-5135,-6222,-7002,-7461,-7584,-7381,-6856,-6081,-5084,-3905,
-2608,-1233,160,1542,2864,4075,5153,6034,6696,7100,7212,7013,6506,5679,4577,3237,1720,102,-1533,-3109,
-4534,-5755,-6699,-7339,-7639,-7598,-7245,-6607,-5710,-4617,-3366,-2030,-646,758,2124,3400,4562,5572,6368,6923,
7198,7181,6852,6210,5261,4062,2643,1084,-547,-2154,-3663,-4995,-6097,-6896,-7376,-7513,-7331,-6841,-6082,-5085,
-3916,-2611,-1240,168,1556,2887,4121,5225,6134,6831,7284,7431,7278,6811,6027,4972,3672,2183,589,-1035,
-2605,-4053,-5289,-6258,-6921,-7265,-7251,-6938,-6325,-5458,-4392,-3164,-1825,-436,962,2330,3625,4792,5806,6628,
7210,7513,7531,7229,6621,5707,4524,3121,1577,-47,-1666,-3186,-4549,-5680,-6530,-7058,-7238,-7108,-6664,-5931,
-4977,-3832,-2573,-1222,175,1550,2873,4112,5216,6143,6844,7306,7474,7355,6897,6159,5115,3824,2339,741,
-902,-2488,-3964,-5230,-6249,-6961,-7343,-7397,-7121,-6548,-5735,-4691,-3488,-2181,-811,562,1928,3215,4394,5417,
6247,6852,7182,7218,6951,6364,5484,4315,2942,1404,-217,-1844,-3385,-4767,-5928,-6805,-7365,-7599,-7491,-7086,
-6399,-5467,-4345,-3100,-1746,-364,1021,2358,3598,4717,5669,6406,6894,7110,7020,6609,5890,4888,3635,2176,
598,-1026,-2616,-4087,-5383,-6411,-7144,-7555,-7634,-7376,-6833,-6022,-5001,-3815,-2503,-1124,268,1644,2946,4161,
5205,6068,6704,7092,7168,6951,6411,5563,4443,3097,1585,-15,-1630,-3169,-4558,-5738,-6634,-7232,-7484,-7406,
-7019,-6346,-5433,-4321,-3065,-1724,-332,1065,2411,3676,4827,5803,6577,7099,7353,7305,6944,6259,5303,4070,
2653,1085,-534,-2122,-3606,-4919,-5967,-6738,-7178,-7287,-7077,-6563,-5774,-4782,-3609,-2313,-950,447,1818,3128,
4337,5402,6287,6950,7352,7466,7272,6767,5960,4865,3538,2050,448,-1161,-2722,-4144,-5333,-6272,-6902,-7198,
-7163,-6819,-6187,-5306,-4222,-2994,-1675,-281,1100,2446,3709,4852,5836,6620,7159,7435,7399,7060,6414,5467,
4261,2849,1292,-324,-1925,-3432,-4762,-5858,-6667,-7152,-7310,-7138,-6664,-5917,-4950,-3805,-2533,-1178,204,1567,
2884,4102,5176,6059,6738,7166,7304,7135,6657,5874,4808,3504,2018,428,-1188,-2761,-4189,-5424,-6394,-7068,
-7411,-7423,-7110,-6525,-5674,-4618,-3415,-2107,-738,640,1989,3252,4410,5414,6207,6785,7084,7093,6794,6178,
5266,4101,2721,1181,-433,-2030,-3542,-4887,-6012,-6840,-7360,-7544,-7410,-6968,-6245,-5298,-4180,-2900,-1555,-172,
1200,2517,3744,4836,5757,6462,6933,7097,6969,6526,5788,4764,3488,2036,466,-1152,-2715,-4164,-5419,-6406,
-7096,-7472,-7505,-7228,-6655,-5834,-4793,-3598,-2285,-925,472,1825,3118,4290,5313,6144,6751,7082,7137,6876,
6302,5431,4286,2932,1422,-182,-1775,-3291,-4654,-5790,-6660,-7205,-7423,-7321,-6900,-6212,-5279,-4171,-2918,-1575,
-187,1189,2514,3767,4879,5824,6552,7039,7254,7164,6761,6057,5058,3819,2381,820,-785,-2364,-3817,-5079,
-6107,-6832,-7242,-7316,-7076,-6533,-5744,-4719,-3545,-2248,-886,484,1851,3146,4325,5363,6226,6849,7213,7286,
7059,6522,5685,4566,3232,1733,141,-1467,-2995,-4382,-5550,-6441,-7025,-7285,-7214,-6840,-6178,-5277,-4181,-2961,
-1630,-251,1123,2452,3699,4824,5788,6541,7056,7297,7232,6860,6172,5208,3994,2568,1017,-597,-2176,-3655,
-4956,-6005,-6775,-7213,-7331,-7140,-6623,-5853,-4861,-3709,-2419,-1071,310,1675,2975,4166,5222,6087,6742,7121,
7229,7028,6518,5709,4615,3295,1803,216,-1404,-2940,-4347,-5545,-6487,-7113,-7411,-7385,-7051,-6422,-5554,-4482,
-3258,-1943,-575,813,2144,3413,4553,5533,6301,6834,7101,7075,6736,6085,5149,3938,2546,997,-613,-2209,
-3686,-5012,-6096,-6897,-7372,-7526,-7364,-6877,-6143,-5173,-4024,-2751,-1400,-20,1349,2666,3881,4949,5856,6537,
6962,7106,6934,6460,5686,4624,3340,1872,295,-1314,-2868,-4293,-5497,-6463,-7116,-7444,-7449,-7129,-6532,-5678,
-4617,-3409,-2091,-710,669,2023,3296,4455,5463,6267,6835,7139,7146,6850,6233,5326,4166,2798,1268,-326,
-1904,-3408,-4741,-5848,-6668,-7180,-7364,-7218,-6775,-6042,-5103,-3971,-2702,-1342,41,1416,2744,3977,5073,5987,
6692,7151,7318,7186,6740,6001,4974,3701,2246,681,-920,-2482,-3911,-5159,-6139,-6837,-7206,-7239,-6966,-6400,
-5575,-4541,-3350,-2051,-686,695,2051,3331,4504,5527,6344,6944,7262,7300,7034,6448,5573,4436,3077,1569,
-34,-1631,-3135,-4498,-5644,-6499,-7057,-7276,-7180,-6784,-6098,-5184,-4084,-2840,-1512,-140,1227,2547,3773,4881,
5802,6531,7003,7213,7107,6697,5988,4990,3744,2316,759,-841,-2410,-3867,-5135,-6145,-6882,-7286,-7360,-7125,
-6588,-5802,-4802,-3623,-2337,-988,396,1743,3033,4210,5234,6082,6697,7045,7127,6892,6347,5498,4387,3052,
1568,-27,-1617,-3141,-4518,-5679,-6566,-7153,-7404,-7346,-6966,-6307,-5414,-4334,-3099,-1774,-407,965,2299,3539,
4656,5610,6363,6862,7097,7034,6668,6001,5036,3826,2419,881,-707,-2271,-3728,-5009,-6053,-6802,-7247,-7357,
-7146,-6639,-5878,-4887,-3729,-2451,-1099,274,1635,2930,4124,5180,6042,6691,7077,7176,6977,6477,5664,4586,
3284,1807,236,-1360,-2891,-4271,-5450,-6376,-6989,-7283,-7249,-6907,-6284,-5418,-4350,-3139,-1813,-447,923,2250,
3507,4647,5618,6382,6937,7186,7163,6813,6172,5239,4053,2647,1132,-461,-2030,-3513,-4824,-5895,-6681,-7163,
-7308,-7133,-6667,-5930,-4976,-3838,-2566,-1228,142,1504,2803,4011,5063,5951,6618,7030,7163,6998,6519,5751,
4688,3412,1956,398,-1204,-2731,-4131,-5341,-6297,-6945,-7272,-7277,-6976,-6377,-5539,-4494,-3297,-1997,-636,734,
2067,3336,4480,5474,6264,6826,7111,7118,6814,6200,5305,4142,2778,1256,-319,-1891,-3387,-4711,-5793,-6615,
-7127,-7318,-7176,-6736,-6026,-5093,-3971,-2720,-1380,-6,1349,2669,3889,4969,5888,6578,7034,7192,7062,6625,
5876,4857,3610,2163,618,-976,-2521,-3938,-5158,-6145,-6824,-7174,-7223,-6943,-6388,-5568,-4536,-3361,-2069,-708,
658,2005,3270,4427,5431,6252,6834,7161,7194,6930,6352,5481,4349,3016,1506,-58,-1635,-3126,-4470,-5600,
-6448,-6987,-7210,-7105,-6698,-6023,-5102,-4007,-2774,-1447,-80,1288,2604,3831,4926,5851,6568,7042,7237,7130,
6729,6021,5033,3792,2371,833,-747,-2314,-3735,-4984,-5993,-6713,-7112,-7190,-6933,-6417,-5619,-4620,-3446,-2170,
-822,555,1903,3177,4363,5382,6227,6829,7178,7245,7010,6465,5635,4529,3199,1717,140,-1436,-2937,-4299,
-5448,-6324,-6906,-7157,-7099,-6726,-6069,-5190,-4104,-2878,-1551,-194,1163,2486,3723,4834,5783,6520,7024,7251,
7190,6814,6137,5175,3963,2570,1045,-528,-2081,-3535,-4805,-5829,-6583,-7014,-7119,-6917,-6419,-5656,-4678,-3531,
-2265,-928,446,1793,3076,4262,5302,6167,6794,7173,7279,7075,6563,5755,4680,3383,1923,358,-1221,-2738,
-4120,-5295,-6210,-6824,-7113,-7099,-6751,-6142,-5277,-4226,-3023,-1724,-368,989,2313,3557,4678,5624,6382,6911,
7167,7120,6784,6137,5208,4024,2646,1131,-448,-2007,-3474,-4758,-5822,-6610,-7086,-7235,-7065,-6604,-5879,-4929,
-3804,-2544,-1222,131,1475,2763,3956,5003,5881,6535,6939,7056,6881,6408,5627,4593,3320,1875,325,-1253,
-2771,-4157,-5353,-6294,-6923,-7265,-7266,-6958,-6381,-5534,-4505,-3311,-2023,-661,685,2015,3269,4412,5391,6184,
6731,7022,7023,6713,6106,5217,4068,2708,1224,-343,-1898,-3372,-4679,-5760,-6566,-7067,-7243,-7099,-6667,-5962,
-5032,-3920,-2670,-1348,16,1376,2667,3882,4957,5850,6550,6987,7149,7026,6590,5860,4847,3604,2181,650,
-924,-2435,-3847,-5051,-6022,-6699,-7057,-7082,-6818,-6249,-5444,-4425,-3255,-1966,-625,742,2066,3339,4486,5490,
6296,6869,7185,7222,6947,6373,5518,4402,3062,1575,25,-1534,-3015,-4338,-5441,-6284,-6824,-7040,-6947,-6537,
-5863,-4967,-3873,-2660,-1341,7,1359,2661,3873,4953,5877,6578,7045,7231,7119,6716,6014,5031,3809,2399,
882,-693,-2236,-3658,-4889,-5898,-6602,-7007,-7088,-6855,-6340,-5566,-4571,-3423,-2159,-824,534,1867,3128,4288,
5308,6127,6729,7073,7135,6897,6346,5511,4409,3100,1630,75,-1501,-2991,-4345,-5484,-6361,-6927,-7201,-7135,
-6778,-6130,-5260,-4208,-2998,-1696,-358,991,2297,3518,4608,5537,6268,6763,6975,6910,6536,5854,4898,3700,
2310,792,-778,-2323,-3757,-5028,-6052,-6800,-7235,-7352,-7155,-6671,-5912,-4951,-3815,-2571,-1243,117,1448,2717,
3897,4924,5770,6393,6761,6856,6648,6133,5336,4270,2979,1524,-22,-1595,-3101,-4467,-5635,-6532,-7140,-7437,
-7412,-7084,-6467,-5620,-4578,-3372,-2079,-735,615,1927,3169,4282,5228,5992,6511,6757,6719,6376,5737,4813,
3631,2268,765,-798,-2341,-3795,-5066,-6123,-6907,-7367,-7515,-7349,-6886,-6170,-5219,-4098,-2865,-1542,-176,1161,
2447,3628,4687,5559,6205,6614,6739,6571,6093,5317,4287,3030,1593,55,-1500,-3007,-4387,-5574,-6501,-7135,
-7454,-7465,-7146,-6576,-5740,-4715,-3539,-2254,-906,443,1767,3009,4146,5118,5900,6446,6741,6732,6437,5843,
4958,3820,2478,994,-551,-2092,-3542,-4840,-5910,-6709,-7208,-7389,-7246,-6824,-6123,-5196,-4093,-2860,-1544,-191,
1151,2444,3646,4710,5611,6300,6729,6889,6760,6332,5593,4609,3368,1965,440,-1114,-2621,-4004,-5208,-6147,
-6813,-7170,-7205,-6939,-6380,-5574,-4572,-3402,-2124,-788,570,1895,3154,4308,5300,6104,6683,7002,7041,6767,
6205,5361,4247,2930,1474,-67,-1606,-3073,-4390,-5471,-6304,-6841,-7047,-6944,-6539,-5872,-4977,-3893,-2667,-1363,
-14,1326,2630,3834,4913,5828,6535,6991,7189,7091,6691,5992,5018,3816,2437,927,-629,-2135,-3541,-4765,
-5752,-6450,-6833,-6904,-6674,-6146,-5374,-4388,-3243,-1984,-652,707,2026,3299,4454,5464,6293,6891,7236,7297,
7055,6526,5709,4631,3328,1879,339,-1198,-2679,-4008,-5131,-5988,-6555,-6814,-6744,-6373,-5736,-4873,-3800,-2598,
-1303,27,1379,2685,3889,4983,5916,6639,7130,7347,7267,6908,6232,5287,4109,2735,1232,-323,-1849,-3271,
-4513,-5537,-6263,-6693,-6809,-6614,-6119,-5382,-4419,-3299,-2047,-726,625,1948,3218,4379,5406,6235,6861,7231,
7323,7113,6610,5801,4748,3467,2029,498,-1059,-2531,-3891,-5048,-5944,-6546,-6839,-6815,-6495,-5891,-5053,-4020,
-2834,-1549,-228,1127,2424,3651,4758,5693,6436,6956,7189,7157,6806,6174,5255,4084,2732,1241,-311,-1842,
-3283,-4545,-5593,-6366,-6839,-6982,-6822,-6371,-5650,-4723,-3615,-2392,-1086,260,1593,2860,4038,5071,5931,6576,
6958,7081,6907,6429,5662,4630,3376,1950,413,-1132,-2627,-4000,-5174,-6098,-6734,-7057,-7077,-6776,-6200,-5388,
-4369,-3194,-1928,-596,741,2046,3284,4398,5364,6131,6670,6940,6926,6616,6008,5122,3986,2661,1179,-357,
-1892,-3343,-4635,-5696,-6496,-6992,-7179,-7047,-6637,-5948,-5036,-3949,-2732,-1429,-90,1241,2521,3707,4766,5645,
6306,6732,6886,6743,6305,5569,4563,3335,1930,416,-1135,-2630,-4019,-5211,-6167,-6831,-7186,-7238,-6972,-6425,
-5634,-4645,-3492,-2224,-905,429,1750,2987,4118,5094,5885,6452,6759,6775,6500,5922,5063,3959,2639,1186,
-350,-1894,-3344,-4646,-5741,-6559,-7124,-7329,-7229,-6840,-6182,-5294,-4225,-3011,-1724,-395,943,2221,3410,4485,
5376,6070,6519,6694,6590,6184,5481,4508,3311,1925,418,-1121,-2624,-4021,-5248,-6221,-6921,-7309,-7392,-7165,
-6653,-5889,-4920,-3777,-2530,-1210,136,1448,2690,3837,4831,5650,6238,6576,6628,6391,5863,5041,3960,2667,
1227,-298,-1826,-3300,-4627,-5731,-6591,-7159,-7404,-7339,-6979,-6357,-5492,-4430,-3230,-1947,-607,732,2031,3232,
4315,5245,5973,6440,6664,6595,6227,5565,4618,3444,2086,596,-934,-2446,-3846,-5081,-6087,-6809,-7225,-7339,
-7135,-6645,-5907,-4945,-3825,-2581,-1256,81,1407,2678,3836,4859,5705,6315,6693,6781,6567,6085,5298,4262,
2999,1574,63,-1460,-2932,-4260,-5390,-6270,-6864,-7147,-7116,-6781,-6183,-5332,-4295,-3106,-1820,-498,841,2155,
3375,4485,5436,6174,6690,6939,6906,6568,5932,5027,3888,2542,1073,-463,-1975,-3391,-4642,-5670,-6412,-6873,
-7013,-6847,-6393,-5671,-4730,-3630,-2395,-1087,262,1589,2858,4037,5075,5923,6576,6970,7093,6924,6447,5688,
4673,3435,2025,518,-1010,-2500,-3850,-5015,-5916,-6546,-6865,-6865,-6566,-5990,-5173,-4167,-2995,-1722,-396,948,
2253,3489,4599,5559,6327,6863,7133,7123,6812,6221,5341,4205,2884,1434,-98,-1608,-3037,-4312,-5367,-6156,
-6651,-6819,-6681,-6269,-5579,-4669,-3581,-2371,-1075,265,1595,2867,4054,5111,5991,6650,7075,7232,7093,6652,
5935,4931,3715,2321,826,-707,-2190,-3571,-4740,-5681,-6341,-6700,-6742,-6479,-5943,-5154,-4161,-3016,-1751,-441,
899,2207,3449,4573,5546,6340,6892,7191,7208,6932,6372,5518,4424,3123,1672,151,-1370,-2815,-4100,-5184,
-6009,-6522,-6741,-6646,-6262,-5614,-4731,-3660,-2469,-1169,154,1480,2751,3939,5005,5899,6577,7031,7213,7101,
6693,5990,5025,3838,2453,968,-556,-2052,-3433,-4647,-5606,-6298,-6696,-6773,-6548,-6033,-5272,-4312,-3186,-1937,
-624,699,2014,3255,4394,5384,6184,6776,7095,7144,6910,6366,5546,4475,3187,1760,251,-1281,-2729,-4035,
-5140,-5989,-6552,-6804,-6741,-6392,-5764,-4900,-3858,-2675,-1395,-73,1258,2538,3741,4822,5736,6446,6915,7122,
7038,6665,5997,5065,3899,2547,1054,-480,-1970,-3365,-4598,-5587,-6305,-6731,-6848,-6660,-6175,-5446,-4502,-3392,
-2160,-855,476,1780,3028,4182,5180,6009,6614,6974,7056,6844,6339,5553,4503,3242,1828,328,-1194,-2662,
-3990,-5118,-6002,-6599,-6882,-6851,-6535,-5942,-5111,-4096,-2923,-1663,-338,983,2269,3473,4553,5485,6222,6715,
6952,6906,6560,5924,5016,3870,2534,1066,-459,-1964,-3371,-4616,-5653,-6408,-6866,-7021,-6858,-6421,-5721,-4801,
-3721,-2510,-1216,105,1412,2674,3829,4851,5686,6318,6699,6810,6627,6165,5404,4390,3140,1741,243,-1279,
-2757,-4090,-5246,-6151,-6782,-7110,-7120,-6830,-6270,-5466,-4472,-3320,-2071,-762,565,1858,3062,4167,5114,5866,
6387,6653,6637,6327,5728,4846,3735,2417,968,-552,-2055,-3467,-4736,-5784,-6561,-7059,-7226,-7096,-6688,-6007,
-5108,-4047,-2831,-1541,-219,1092,2348,3527,4562,5418,6079,6501,6652,6502,6060,5340,4363,3150,1771,293,
-1223,-2695,-4057,-5222,-6154,-6811,-7157,-7199,-6943,-6403,-5627,-4643,-3503,-2253,-942,388,1679,2915,4030,4989,
5773,6328,6627,6652,6381,5818,4970,3880,2597,1171,-342,-1843,-3263,-4538,-5614,-6428,-6950,-7155,-7065,-6670,
-6024,-5142,-4086,-2899,-1620,-287,1025,2293,3478,4539,5429,6097,6548,6729,6612,6209,5531,4573,3389,2030,
561,-954,-2426,-3788,-4973,-5925,-6606,-6991,-7070,-6833,-6328,-5575,-4614,-3486,-2248,-949,371,1675,2915,4035,
5027,5831,6411,6743,6790,6557,6035,5217,4164,2905,1489,-5,-1506,-2942,-4229,-5322,-6159,-6702,-6952,-6892,
-6538,-5917,-5065,-4023,-2850,-1573,-258,1066,2341,3527,4598,5511,6217,6694,6901,6825,6453,5800,4881,3732,
2390,937,-577,-2039,-3426,-4633,-5622,-6340,-6753,-6872,-6665,-6200,-5471,-4539,-3435,-2206,-914,400,1705,2945,
4088,5081,5903,6505,6857,6937,6737,6238,5471,4421,3178,1783,300,-1211,-2655,-3958,-5070,-5944,-6535,-6809,
-6786,-6478,-5881,-5059,-4041,-2896,-1642,-340,980,2247,3451,4524,5447,6166,6661,6893,6844,6498,5871,4974,
3847,2516,1066,-439,-1923,-3329,-4564,-5570,-6317,-6770,-6923,-6774,-6330,-5638,-4743,-3658,-2460,-1178,130,1426,
2667,3820,4820,5656,6286,6662,6765,6585,6110,5365,4345,3129,1737,251,-1255,-2719,-4052,-5181,-6090,-6714,
-7028,-7038,-6756,-6202,-5410,-4416,-3278,-2041,-741,567,1849,3043,4137,5073,5817,6323,6593,6579,6278,5672,
4804,3696,2392,955,-543,-2033,-3434,-4695,-5734,-6512,-6997,-7182,-7060,-6654,-5985,-5102,-4039,-2847,-1569,-258,
1056,2309,3465,4490,5349,6006,6421,6553,6415,5992,5265,4295,3100,1727,259,-1238,-2698,-4036,-5194,-6112,
-6763,-7121,-7152,-6889,-6369,-5592,-4622,-3490,-2253,-947,370,1656,2876,3984,4950,5731,6285,6567,6597,6341,
5776,4948,3875,2596,1184,-311,-1800,-3208,-4466,-5527,-6324,-6836,-7045,-6956,-6569,-5922,-5051,-4002,-2807,-1544,
-220,1087,2347,3524,4582,5463,6147,6588,6769,6663,6262,5584,4650,3471,2129,673,-808,-2266,-3626,-4800,
-5739,-6413,-6793,-6859,-6641,-6125,-5381,-4426,-3296,-2076,-776,548,1840,3079,4198,5185,5994,6565,6889,6957,
6722,6194,5383,4339,3089,1689,205,-1271,-2697,-3969,-5059,-5887,-6426,-6668,-6610,-6250,-5637,-4781,-3754,-2587,
-1322,-6,1301,2578,3769,4836,5735,6433,6899,7102,7040,6665,6025,5099,3957,2622,1175,-313,-1781,-3153,
-4341,-5323,-6032,-6446,-6561,-6369,-5897,-5179,-4252,-3153,-1935,-654,660,1957,3190,4322,5316,6131,6727,7073,
7149,6941,6450,5662,4641,3404,2011,528,-963,-2401,-3692,-4815,-5680,-6255,-6543,-6519,-6218,-5631,-4812,-3816,
-2672,-1412,-129,1186,2447,3636,4719,5629,6337,6829,7052,6995,6649,6016,5123,4001,2672,1235,-262,-1742,
-3128,-4357,-5370,-6112,-6569,-6717,-6571,-6145,-5459,-4563,-3500,-2297,-1037,269,1557,2794,3929,4925,5748,6363,
6733,6838,6657,6184,5428,4424,3201,1826,350,-1152,-2585,-3916,-5047,-5950,-6571,-6887,-6902,-6637,-6077,-5298,
-4320,-3196,-1963,-669,629,1892,3085,4168,5094,5823,6333,6581,6567,6255,5656,4799,3698,2398,967,-520,
-1993,-3383,-4627,-5651,-6426,-6912,-7095,-6982,-6576,-5922,-5049,-3983,-2805,-1539,-234,1053,2301,3451,4465,5320,
5961,6373,6505,6352,5926,5217,4241,3060,1705,247,-1240,-2686,-4017,-5162,-6085,-6714,-7064,-7109,-6853,-6335,
-5571,-4611,-3489,-2259,-968,330,1615,2815,3915,4865,5635,6168,6474,6480,6224,5654,4828,3762,2494,1088,
-383,-1859,-3250,-4506,-5558,-6366,-6873,-7087,-6989,-6609,-5976,-5115,-4085,-2903,-1636,-339,958,2214,3375,4423,
5286,5963,6396,6562,6454,6060,5375,4433,3268,1930,486,-1001,-2451,-3791,-4962,-5897,-6577,-6957,-7032,-6817,
-6319,-5575,-4637,-3528,-2326,-1036,272,1558,2772,3888,4858,5637,6216,6527,6577,6346,5806,5014,3962,2713,
1317,-148,-1630,-3039,-4316,-5391,-6215,-6762,-7013,-6962,-6615,-6012,-5170,-4155,-2997,-1744,-437,857,2116,3299,
4353,5241,5948,6396,6607,6524,6163,5503,4595,3449,2135,695,-787,-2245,-3606,-4792,-5759,-6468,-6875,-6980,
-6785,-6331,-5615,-4698,-3599,-2393,-1109,194,1487,2718,3837,4824,5641,6232,6578,6671,6458,5965,5196,4185,
2959,1582,118,-1360,-2778,-4057,-5156,-6011,-6579,-6855,-6833,-6505,-5924,-5113,-4107,-2961,-1708,-401,894,2175,
3369,4436,5355,6072,6561,6802,6753,6427,5813,4930,3817,2521,1095,-363,-1829,-3198,-4405,-5393,-6119,-6567,
-6710,-6541,-6105,-5419,-4513,-3442,-2239,-970,335,1632,2874,4013,5026,5852,6477,6851,6953,6777,6325,5580,
4596,3396,2038,577,-903,-2334,-3625,-4769,-5645,-6252,-6556,-6573,-6283,-5738,-4941,-3971,-2837,-1597,-311,992,
2261,3455,4547,5467,6204,6722,6975,6959,6643,6059,5206,4113,2821,1417,-64,-1521,-2907,-4139,-5161,-5929,
-6413,-6579,-6459,-6054,-5405,-4533,-3483,-2295,-1042,260,1548,2791,3939,4939,5784,6431,6827,6964,6815,6386,
5677,4708,3526,2185,735,-754,-2181,-3509,-4643,-5570,-6212,-6556,-6606,-6360,-5837,-5083,-4124,-3017,-1797,-514,
787,2054,3257,4356,5299,6051,6579,6862,6886,6601,6052,5223,4161,2898,1493,30,-1429,-2822,-4071,-5110,
-5911,-6406,-6630,-6546,-6173,-5539,-4689,-3655,-2491,-1231,57,1344,2595,3749,4781,5648,6313,6752,6907,6795,
6400,5721,4793,3640,2313,880,-596,-2033,-3363,-4520,-5459,-6124,-6503,-6579,-6362,-5882,-5144,-4202,-3111,-1898,
-622,677,1949,3156,4261,5230,6003,6564,6884,6927,6693,6161,5370,4330,3090,1714,256,-1210,-2604,-3865,
-4932,-5744,-6286,-6539,-6471,-6137,-5535,-4707,-3713,-2570,-1318,-39,1260,2507,3671,4713,5589,6267,6729,6922,
6839,6475,5821,4919,3779,2463,1046,-433,-1867,-3217,-4406,-5370,-6076,-6489,-6601,-6425,-5974,-5260,-4358,-3297,
-2103,-850,443,1714,2920,4035,5007,5802,6373,6701,6770,6555,6058,5290,4270,3052,1683,218,-1251,-2656,
-3954,-5039,-5896,-6474,-6755,-6745,-6445,-5871,-5086,-4102,-2971,-1752,-461,807,2057,3229,4279,5168,5873,6343,
6567,6506,6170,5543,4664,3542,2259,841,-621,-2083,-3449,-4645,-5628,-6370,-6812,-6970,-6814,-6401,-5729,-4842,
-3785,-2621,-1359,-78,1198,2416,3534,4525,5334,5943,6312,6416,6228,5766,5031,4041,2843,1493,47,-1413,
-2828,-4114,-5228,-6111,-6723,-7027,-7045,-6766,-6224,-5447,-4488,-3373,-2154,-868,411,1667,2858,3925,4846,5568,
6082,6339,6314,6020,5444,4589,3513,2235,837,-611,-2061,-3428,-4639,-5648,-6400,-6887,-7057,-6929,-6536,-5881,
-5015,-3967,-2802,-1550,-259,1019,2265,3389,4413,5249,5883,6279,6420,6279,5859,5146,4201,3031,1707,275,
-1184,-2596,-3894,-5028,-5925,-6552,-6887,-6943,-6691,-6175,-5420,-4474,-3368,-2153,-880,419,1675,2874,3965,4900,
5652,6191,6474,6497,6225,5672,4865,3808,2557,1192,-269,-1705,-3086,-4319,-5343,-6126,-6634,-6839,-6748,-6374,
-5755,-4917,-3889,-2729,-1491,-189,1095,2330,3480,4501,5363,6028,6448,6617,6510,6124,5451,4525,3376,2074,
654,-799,-2217,-3543,-4684,-5618,-6277,-6638,-6724,-6513,-6021,-5301,-4366,-3286,-2082,-807,481,1746,2954,4052,
5010,5780,6335,6658,6706,6454,5945,5156,4132,2908,1537,93,-1343,-2746,-3989,-5044,-5854,-6398,-6646,-6591,
-6250,-5665,-4840,-3838,-2694,-1461,-181,1101,2346,3502,4542,5419,6096,6548,6741,6666,6297,5664,4758,3639,
2339,933,-533,-1959,-3297,-4466,-5429,-6114,-6531,-6644,-6468,-6018,-5319,-4417,-3357,-2166,-912,383,1644,2853,
3964,4929,5714,6302,6635,6708,6501,6000,5245,4240,3031,1670,236,-1223,-2623,-3897,-4981,-5824,-6391,-6691,
-6667,-6365,-5801,-5023,-4039,-2921,-1687,-423,864,2102,3273,4322,5208,5916,6398,6612,6559,6232,5618,4735,
3637,2350,954,-501,-1935,-3277,-4473,-5457,-6187,-6627,-6771,-6635,-6211,-5536,-4658,-3615,-2439,-1192,100,1361,
2575,3699,4684,5499,6088,6463,6564,6396,5920,5201,4217,3033,1691,260,-1199,-2596,-3892,-4987,-5864,-6461,
-6774,-6797,-6519,-5980,-5220,-4257,-3140,-1929,-661,624,1871,3050,4115,5027,5752,6258,6513,6472,6178,5608,
4756,3678,2429,1040,-406,-1844,-3203,-4411,-5412,-6174,-6644,-6827,-6710,-6325,-5684,-4821,-3783,-2631,-1387,-102,
1177,2395,3525,4531,5366,5987,6392,6527,6384,5948,5256,4311,3141,1822,398,-1039,-2445,-3745,-4873,-5771,
-6397,-6740,-6797,-6543,-6031,-5290,-4354,-3258,-2055,-785,498,1757,2941,4027,4956,5696,6232,6518,6526,6263,
5718,4909,3862,2616,1251,-194,-1624,-2994,-4230,-5243,-6030,-6531,-6744,-6650,-6291,-5668,-4832,-3812,-2673,-1437,
-159,1123,2347,3487,4511,5365,6021,6438,6609,6503,6114,5439,4531,3390,2092,683,-766,-2171,-3471,-4618,
-5530,-6189,-6559,-6641,-6427,-5944,-5228,-4310,-3222,-2029,-768,511,1766,2959,4064,5006,5778,6338,6638,6690,
6457,5939,5157,4136,2920,1571,146,-1299,-2678,-3915,-4951,-5765,-6308,-6534,-6490,-6149,-5570,-4756,-3752,-2619,
-1396,-122,1152,2388,3537,4566,5434,6110,6553,6746,6669,6308,5671,4772,3656,2378,981,-460,-1884,-3197,
-4357,-5307,-5991,-6403,-6515,-6345,-5893,-5204,-4312,-3259,-2082,-832,444,1695,2897,4002,4959,5742,6314,6650,
6723,6511,6032,5273,4281,3070,1733,307,-1132,-2528,-3780,-4861,-5692,-6278,-6568,-6548,-6252,-5705,-4920,-3947,
-2835,-1635,-372,898,2136,3285,4324,5210,5905,6374,6583,6532,6195,5586,4721,3636,2363,971,-478,-1903,
-3237,-4422,-5406,-6123,-6568,-6717,-6581,-6168,-5509,-4636,-3604,-2435,-1208,64,1315,2517,3626,4606,5398,6004,
6368,6462,6280,5828,5096,4133,2948,1621,210,-1228,-2617,-3905,-5000,-5859,-6466,-6786,-6795,-6534,-6013,-5251,
-4311,-3211,-2013,-758,522,1757,2931,3981,4878,5607,6104,6341,6327,6029,5452,4615,3544,2305,933,-501,
-1926,-3274,-4462,-5467,-6213,-6687,-6861,-6757,-6362,-5723,-4874,-3854,-2709,-1470,-196,1067,2286,3414,4408,5243,
5862,6255,6386,6245,5823,5135,4188,3049,1738,331,-1109,-2498,-3793,-4898,-5781,-6408,-6748,-6796,-6555,-6050,
-5322,-4386,-3306,-2109,-843,429,1676,2854,3927,4858,5600,6122,6396,6412,6149,5612,4798,3759,2544,1178,
-248,-1673,-3023,-4237,-5251,-6035,-6527,-6749,-6666,-6315,-5706,-4879,-3865,-2729,-1493,-231,1043,2260,3394,4408,
5268,5903,6320,6482,6378,5986,5318,4407,3286,1986,597,-837,-2236,-3537,-4677,-5590,-6238,-6621,-6696,-6490,
-6025,-5315,-4399,-3331,-2149,-901,377,1637,2822,3912,4848,5618,6165,6468,6504,6286,5775,5004,3977,2779,
1439,20,-1412,-2763,-3992,-5026,-5834,-6372,-6612,-6557,-6244,-5656,-4851,-3862,-2743,-1517,-255,1021,2240,3390,
4418,5298,5967,6409,6601,6530,6170,5538,4662,3567,2294,900,-529,-1911,-3225,-4382,-5310,-5995,-6395,-6513,
-6346,-5893,-5208,-4315,-3255,-2090,-847,418,1668,2869,3973,4921,5714,6288,6628,6698,6491,6011,5277,4288,
3112,1786,374,-1047,-2428,-3669,-4731,-5562,-6122,-6397,-6380,-6090,-5536,-4766,-3791,-2682,-1484,-225,1041,2273,
3422,4451,5336,6029,6491,6716,6662,6334,5737,4870,3789,2539,1160,-257,-1674,-2993,-4175,-5145,-5861,-6306,
-6452,-6317,-5907,-5254,-4392,-3371,-2222,-986,273,1523,2732,3829,4791,5586,6175,6540,6631,6453,6003,5278,
4317,3138,1822,417,-1016,-2408,-3657,-4753,-5612,-6219,-6538,-6560,-6298,-5788,-5032,-4096,-3009,-1815,-574,691,
1925,3063,4118,5020,5721,6219,6453,6425,6131,5543,4716,3658,2422,1045,-379,-1798,-3136,-4324,-5325,-6063,
-6545,-6721,-6626,-6249,-5620,-4770,-3774,-2623,-1403,-142,1099,2304,3413,4408,5217,5845,6231,6360,6216,5790,
5104,4175,3026,1733,339,-1089,-2469,-3753,-4859,-5738,-6371,-6717,-6761,-6535,-6037,-5322,-4391,-3316,-2135,-888,
376,1622,2788,3849,4767,5509,6027,6294,6311,6048,5512,4714,3683,2474,1133,-293,-1692,-3040,-4240,-5249,
-6021,-6522,-6731,-6652,-6299,-5698,-4874,-3879,-2748,-1531,-274,985,2203,3336,4344,5183,5823,6241,6416,6303,
5909,5265,4362,3244,1961,586,-836,-2215,-3515,-4629,-5528,-6183,-6560,-6633,-6432,-5966,-5262,-4347,-3296,-2110,
-873,395,1639,2820,3896,4843,5599,6159,6457,6498,6273,5771,5000,4004,2816,1480,89,-1328,-2678,-3887,
-4920,-5723,-6246,-6478,-6434,-6117,-5535,-4728,-3758,-2637,-1419,-158,1100,2319,3460,4482,5349,6014,6470,6655,
6588,6229,5598,4730,3644,2379,1011,-401,-1813,-3096,-4243,-5168,-5851,-6248,-6366,-6189,-5744,-5075,-4187,-3148,
-1977,-740,519,1772,2959,4050,4999,5774,6354,6687,6753,6556,6084,5344,4360,3189,1875,477,-942,-2292,
-3530,-4580,-5412,-5982,-6252,-6234,-5942,-5390,-4627,-3668,-2566,-1378,-119,1144,2361,3504,4536,5413,6101,6564,
6776,6724,6393,5798,4959,3881,2636,1269,-148,-1547,-2858,-4026,-4985,-5697,-6137,-6298,-6160,-5754,-5109,-4250,
-3224,-2082,-852,394,1642,2831,3927,4889,5688,6284,6641,6725,6553,6102,5386,4431,3286,1975,579,-841,
-2206,-3465,-4533,-5402,-5992,-6299,-6328,-6071,-5569,-4817,-3882,-2805,-1617,-373,875,2105,3248,4291,5186,5894,
6374,6629,6606,6316,5736,4921,3868,2639,1279,-126,-1533,-2863,-4042,-5041,-5785,-6253,-6445,-6340,-5967,-5351,
-4526,-3517,-2391,-1175,75,1315,2516,3632,4599,5406,6022,6408,6528,6384,5972,5282,4355,3209,1921,536,
-879,-2264,-3530,-4626,-5509,-6144,-6496,-6550,-6325,-5849,-5123,-4212,-3147,-1983,-754,501,1731,2889,3950,4857,
5589,6098,6362,6374,6114,5561,4770,3748,2537,1193,-228,-1633,-2965,-4170,-5187,-5953,-6451,-6673,-6615,-6272,
-5675,-4863,-3886,-2763,-1565,-312,923,2127,3253,4246,5073,5712,6119,6274,6158,5764,5102,4204,3088,1821,
435,-982,-2365,-3658,-4775,-5682,-6341,-6713,-6803,-6602,-6150,-5467,-4576,-3517,-2358,-1124,135,1360,2534,3603,
4529,5277,5817,6110,6153,5916,5411,4634,3633,2451,1126,-273,-1690,-3032,-4239,-5277,-6075,-6603,-6852,-6824,
-6504,-5929,-5150,-4173,-3074,-1870,-625,629,1838,2972,3985,4838,5493,5935,6123,6037,5689,5070,4199,3118,
1853,488,-915,-2302,-3594,-4725,-5660,-6333,-6747,-6862,-6694,-6265,-5606,-4716,-3677,-2525,-1296,-42,1197,2386,
3469,4423,5202,5766,6094,6169,5961,5503,4759,3794,2634,1323,-66,-1470,-2819,-4033,-5081,-5911,-6460,-6727,
-6718,-6434,-5899,-5126,-4168,-3071,-1873,-613,635,1852,2993,4032,4901,5588,6062,6271,6234,5913,5315,4483,
3426,2186,843,-551,-1938,-3238,-4391,-5340,-6039,-6482,-6621,-6485,-6075,-5431,-4577,-3557,-2397,-1188,71,1316,
2513,3607,4562,5360,5971,6319,6426,6258,5822,5117,4176,3035,1749,366,-1040,-2377,-3617,-4690,-5536,-6131,
-6434,-6457,-6199,-5672,-4929,-3997,-2925,-1747,-501,759,1975,3127,4165,5060,5769,6250,6496,6489,6180,5633,
4817,3783,2568,1231,-163,-1551,-2863,-4038,-5007,-5752,-6214,-6399,-6298,-5930,-5311,-4480,-3483,-2356,-1138,91,
1336,2530,3638,4609,5429,6039,6418,6545,6405,5991,5311,4388,3268,1994,621,-781,-2155,-3406,-4498,-5370,
-5992,-6330,-6387,-6174,-5694,-4980,-4073,-3015,-1850,-621,628,1850,2998,4048,4956,5685,6204,6467,6487,6226,
5685,4889,3886,2683,1349,-41,-1432,-2751,-3950,-4945,-5717,-6207,-6426,-6357,-6020,-5421,-4624,-3650,-2536,-1328,
-95,1148,2345,3462,4452,5271,5905,6324,6473,6371,5983,5336,4451,3345,2081,721,-674,-2043,-3309,-4429,
-5328,-5979,-6356,-6438,-6252,-5794,-5104,-4212,-3169,-2022,-801,454,1681,2836,3914,4834,5580,6114,6413,6456,
6223,5723,4962,3972,2793,1480,88,-1307,-2633,-3838,-4867,-5648,-6176,-6427,-6393,-6079,-5523,-4742,-3784,-2683,
-1493,-254,979,2184,3312,4318,5164,5813,6248,6442,6355,5993,5388,4518,3441,2194,844,-554,-1934,-3224,
-4347,-5269,-5953,-6352,-6476,-6319,-5895,-5237,-4377,-3345,-2199,-987,256,1489,2660,3727,4670,5439,5993,6324,
6397,6191,5720,4988,4013,2861,1557,174,-1220,-2558,-3777,-4829,-5655,-6203,-6482,-6482,-6192,-5667,-4910,-3967,
-2889,-1707,-464,767,1980,3122,4142,4999,5679,6140,6366,6304,5990,5402,4559,3509,2275,937,-453,-1838,
-3126,-4272,-5224,-5922,-6365,-6531,-6388,-6004,-5363,-4507,-3503,-2366,-1170,79,1311,2495,3575,4549,5338,5930,
6271,6378,6205,5771,5059,4138,2985,1720,339,-1066,-2405,-3641,-4703,-5548,-6126,-6440,-6464,-6226,-5711,-4979,
-4052,-2987,-1801,-583,671,1880,3025,4075,4954,5655,6146,6387,6371,6077,5515,4710,3677,2465,1146,-245,
-1625,-2932,-4104,-5067,-5787,-6267,-6444,-6349,-5972,-5365,-4549,-3553,-2432,-1233,12,1245,2437,3539,4504,5316,
5928,6303,6438,6295,5881,5211,4304,3178,1913,543,-845,-2201,-3451,-4533,-5411,-6033,-6374,-6426,-6216,-5730,
-5026,-4122,-3071,-1912,-687,555,1770,2923,3967,4877,5592,6087,6363,6378,6111,5581,4791,3791,2595,1272,
-108,-1492,-2809,-3988,-4986,-5742,-6246,-6466,-6405,-6072,-5484,-4691,-3718,-2609,-1421,-188,1044,2237,3339,4327,
5157,5784,6196,6352,6227,5856,5208,4317,3217,1968,620,-779,-2145,-3417,-4520,-5430,-6071,-6444,-6541,-6361,
-5924,-5237,-4356,-3332,-2178,-961,272,1486,2636,3696,4608,5349,5886,6179,6210,5980,5470,4711,3742,2560,
1258,-120,-1509,-2834,-4043,-5062,-5852,-6377,-6632,-6595,-6294,-5746,-4977,-4026,-2940,-1755,-533,706,1890,3012,
4010,4844,5493,5925,6108,6031,5678,5061,4195,3126,1890,558,-843,-2203,-3478,-4597,-5521,-6201,-6608,-6728,
-6580,-6161,-5502,-4647,-3623,-2504,-1294,-50,1165,2323,3405,4338,5098,5646,5978,6042,5849,5376,4661,3700,
2560,1261,-108,-1482,-2809,-4023,-5056,-5865,-6421,-6704,-6706,-6431,-5888,-5139,-4207,-3130,-1956,-718,514,1724,
2861,3871,4726,5411,5866,6084,6044,5724,5144,4313,3275,2069,736,-639,-2007,-3286,-4418,-5359,-6054,-6483,
-6633,-6497,-6109,-5477,-4636,-3627,-2506,-1295,-61,1172,2353,3430,4393,5178,5757,6125,6228,6067,5634,4941,
4016,2904,1628,281,-1093,-2420,-3652,-4700,-5530,-6107,-6408,-6437,-6182,-5679,-4944,-4028,-2970,-1795,-564,678,
1891,3029,4068,4954,5652,6146,6398,6383,6105,5557,4768,3753,2552,1242,-123,-1495,-2775,-3923,-4883,-5602,
-6069,-6253,-6153,-5783,-5167,-4350,-3372,-2242,-1042,190,1432,2612,3710,4691,5495,6107,6484,6611,6486,6078,
5418,4534,3425,2173,833,-547,-1879,-3108,-4191,-5043,-5653,-5991,-6053,-5839,-5356,-4652,-3756,-2708,-1544,-330,
923,2124,3271,4323,5220,5948,6457,6732,6741,6479,5971,5197,4200,3022,1736,358,-1002,-2315,-3482,-4466,
-5219,-5716,-5921,-5866,-5528,-4949,-4153,-3183,-2083,-908,333,1564,2756,3849,4826,5653,6286,6688,6854,6744,
6369,5725,4853,3768,2535,1196,-182,-1528,-2777,-3874,-4767,-5403,-5777,-5869,-5684,-5245,-4568,-3691,-2668,-1530,
-314,916,2126,3285,4329,5249,5983,6506,6804,6848,6611,6129,5378,4403,3238,1943,570,-804,-2122,-3309,
-4321,-5109,-5638,-5887,-5868,-5565,-5020,-4256,-3307,-2236,-1061,158,1381,2572,3676,4666,5516,6154,6570,6751,
6671,6327,5705,4842,3784,2563,1218,-158,-1524,-2787,-3908,-4831,-5509,-5918,-6041,-5900,-5503,-4862,-4015,-3015,
-1883,-689,535,1737,2894,3946,4872,5623,6177,6494,6558,6350,5872,5143,4201,3046,1760,397,-983,-2310,
-3525,-4566,-5382,-5942,-6240,-6240,-5983,-5460,-4732,-3821,-2749,-1597,-388,836,2027,3147,4137,4985,5650,6100,
6296,6247,5926,5340,4498,3454,2243,915,-476,-1841,-3119,-4255,-5205,-5911,-6350,-6518,-6412,-6029,-5413,-4599,
-3612,-2510,-1311,-89,1115,2278,3354,4290,5067,5627,5972,6061,5888,5438,4756,3819,2700,1426,65,-1316,
-2647,-3875,-4917,-5763,-6348,-6674,-6712,-6477,-5985,-5268,-4370,-3314,-2156,-955,270,1466,2590,3605,4474,5178,
5651,5889,5870,5572,5025,4223,3202,2023,700,-661,-2026,-3328,-4470,-5434,-6166,-6629,-6819,-6728,-6377,-5787,
-4982,-4000,-2910,-1710,-483,736,1906,2990,3953,4756,5345,5736,5860,5725,5320,4653,3758,2664,1414,70,
-1299,-2630,-3856,-4936,-5793,-6399,-6750,-6811,-6597,-6131,-5429,-4551,-3514,-2366,-1150,79,1289,2431,3472,4355,
5065,5579,5855,5865,5615,5097,4333,3332,2175,855,-487,-1863,-3149,-4310,-5285,-6043,-6537,-6749,-6684,-6358,
-5777,-4995,-4033,-2942,-1766,-546,687,1867,2976,3954,4776,5406,5801,5967,5868,5495,4860,3999,2921,1693,
353,-1007,-2343,-3579,-4670,-5545,-6187,-6546,-6649,-6467,-6023,-5345,-4486,-3457,-2316,-1104,122,1343,2482,3536,
4442,5194,5727,6028,6065,5842,5357,4628,3660,2510,1240,-118,-1476,-2784,-3956,-4951,-5734,-6255,-6494,-6466,
-6164,-5615,-4853,-3902,-2822,-1655,-426,802,1995,3098,4099,4937,5596,6019,6210,6134,5798,5196,4354,3313,
2100,776,-581,-1916,-3159,-4269,-5176,-5833,-6227,-6351,-6197,-5784,-5130,-4275,-3282,-2146,-948,278,1493,2663,
3729,4656,5412,5969,6299,6377,6179,5729,5020,4087,2960,1694,350,-1000,-2319,-3503,-4528,-5325,-5883,-6159,
-6157,-5878,-5365,-4626,-3701,-2639,-1478,-262,965,2166,3281,4282,5147,5817,6278,6487,6435,6131,5550,4740,
3723,2531,1215,-147,-1486,-2751,-3874,-4806,-5498,-5938,-6086,-5966,-5589,-4970,-4146,-3165,-2045,-861,366,1575,
2733,3802,4749,5519,6098,6444,6541,6370,5940,5251,4343,3228,1968,631,-730,-2047,-3263,-4310,-5134,-5724,
-6039,-6078,-5843,-5353,-4652,-3754,-2708,-1571,-371,860,2044,3174,4185,5056,5745,6211,6452,6432,6144,5604,
4802,3799,2617,1321,-50,-1398,-2674,-3815,-4777,-5503,-5967,-6162,-6091,-5729,-5141,-4348,-3377,-2291,-1112,109,
1315,2478,3567,4514,5313,5892,6270,6397,6257,5847,5199,4302,3221,1966,633,-731,-2048,-3284,-4341,-5200,
-5814,-6162,-6239,-6026,-5568,-4891,-4000,-2980,-1841,-653,570,1768,2906,3919,4808,5521,6025,6288,6295,6044,
5530,4758,3779,2620,1321,-29,-1387,-2683,-3834,-4817,-5567,-6059,-6280,-6225,-5915,-5350,-4572,-3614,-2541,-1364,
-154,1061,2238,3325,4292,5113,5721,6133,6285,6179,5806,5168,4309,3247,2006,693,-666,-1997,-3236,-4325,
-5205,-5841,-6227,-6327,-6143,-5708,-5051,-4198,-3167,-2047,-854,365,1578,2714,3752,4650,5382,5908,6209,6241,
6032,5529,4801,3835,2689,1418,73,-1291,-2578,-3763,-4755,-5549,-6070,-6322,-6295,-6012,-5462,-4720,-3782,-2719,
-1563,-354,871,2050,3158,4144,4975,5617,6043,6217,6149,5793,5197,4361,3314,2111,787,-576,-1907,-3164,
-4271,-5167,-5834,-6241,-6379,-6227,-5827,-5187,-4364,-3358,-2251,-1062,154,1358,2507,3568,4480,5234,5789,6114,
6176,5971,5517,4811,3868,2750,1490,153,-1209,-2520,-3707,-4724,-5539,-6096,-6370,-6380,-6120,-5614,-4889,-3975,
-2917,-1766,-550,658,1841,2943,3944,4806,5470,5918,6132,6077,5773,5205,4387,3361,2173,863,-481,-1826,
-3079,-4211,-5144,-5842,-6274,-6450,-6324,-5951,-5337,-4527,-3555,-2445,-1255,-50,1160,2319,3391,4336,5094,5666,
6013,6118,5941,5524,4844,3932,2820,1561,232,-1127,-2447,-3641,-4683,-5509,-6104,-6421,-6456,-6220,-5750,-5033,
-4146,-3100,-1968,-766,459,1650,2761,3781,4659,5341,5817,6052,6032,5757,5215,4432,3431,2258,962,-395,
-1739,-3014,-4150,-5103,-5823,-6297,-6485,-6405,-6051,-5463,-4671,-3717,-2609,-1437,-224,984,2144,3230,4185,4980,
5576,5959,6091,5950,5546,4900,4026,2926,1703,369,-983,-2311,-3527,-4595,-5441,-6059,-6395,-6470,-6262,-5804,
-5123,-4249,-3211,-2085,-883,344,1542,2675,3697,4583,5306,5806,6074,6084,5835,5328,4567,3588,2432,1152,
-203,-1530,-2814,-3975,-4953,-5701,-6197,-6416,-6360,-6032,-5473,-4694,-3744,-2675,-1500,-275,931,2113,3215,4186,
4997,5616,6017,6183,6082,5713,5087,4234,3172,1951,635,-712,-2042,-3285,-4355,-5237,-5872,-6243,-6341,-6167,
-5731,-5072,-4211,-3191,-2064,-871,339,1543,2696,3734,4653,5380,5917,6213,6256,6034,5553,4825,3874,2735,
1469,122,-1226,-2519,-3684,-4696,-5462,-5983,-6230,-6207,-5924,-5382,-4629,-3694,-2629,-1461,-248,966,2147,3258,
4238,5081,5719,6162,6343,6283,5935,5329,4510,3467,2237,948,-409,-1737,-2985,-4086,-4994,-5655,-6065,-6192,
-6040,-5636,-4997,-4164,-3167,-2040,-859,362,1570,2722,3774,4704,5460,6007,6336,6411,6221,5764,5059,4130,
3007,1755,415,-938,-2228,-3416,-4437,-5248,-5795,-6068,-6082,-5816,-5305,-4572,-3649,-2601,-1454,-242,977,2162,
3282,4286,5136,5810,6257,6469,6433,6129,5567,4757,3739,2554,1240,-110,-1442,-2709,-3826,-4746,-5451,-5880,
-6044,-5925,-5546,-4936,-4132,-3147,-2040,-856,348,1557,2720,3794,4721,5512,6087,6436,6532,6370,5945,5271,
4358,3263,2014,687,-662,-1977,-3185,-4224,-5070,-5644,-5960,-5999,-5768,-5296,-4586,-3692,-2653,-1517,-315,897,
2093,3212,4214,5086,5786,6253,6502,6483,6209,5663,4883,3881,2701,1410,65,-1292,-2562,-3710,-4666,-5392,
-5857,-6061,-5969,-5631,-5051,-4258,-3308,-2220,-1035,166,1377,2536,3611,4566,5349,5951,6324,6444,6315,5924,
5259,4386,3289,2052,722,-640,-1957,-3179,-4255,-5113,-5744,-6095,-6154,-5967,-5521,-4839,-3968,-2941,-1826,-632,
579,1771,2896,3928,4808,5517,6015,6275,6278,6033,5510,4752,3780,2612,1327,-29,-1380,-2670,-3830,-4816,
-5565,-6067,-6305,-6258,-5951,-5391,-4631,-3680,-2612,-1447,-245,962,2126,3211,4178,4986,5611,6015,6172,6062,
5684,5065,4208,3130,1912,589,-775,-2115,-3353,-4438,-5325,-5980,-6353,-6455,-6287,-5873,-5218,-4367,-3348,-2242,
-1040,166,1368,2504,3542,4445,5180,5698,5999,6044,5820,5338,4597,3643,2501,1227,-125,-1477,-2773,-3948,
-4967,-5745,-6274,-6532,-6516,-6225,-5696,-4943,-4026,-2961,-1801,-590,614,1798,2902,3890,4720,5359,5789,5974,
5901,5568,4967,4133,3093,1880,565,-784,-2128,-3383,-4481,-5389,-6066,-6478,-6617,-6470,-6071,-5442,-4601,-3613,
-2496,-1318,-93,1110,2265,3322,4250,5005,5555,5878,5958,5763,5313,4595,3674,2544,1292,-52,-1409,-2716,
-3900,-4934,-5740,-6299,-6578,-6591,-6329,-5822,-5083,-4164,-3114,-1948,-744,482,1658,2781,3785,4639,5308,5773,
5992,5952,5645,5081,4271,3251,2067,773,-588,-1925,-3192,-4315,-5242,-5938,-6385,-6540,-6416,-6041,-5425,-4614,
-3630,-2511,-1332,-101,1114,2276,3352,4294,5082,5670,6021,6122,5972,5555,4881,3967,2873,1631,299,-1062,
-2368,-3580,-4615,-5456,-6034,-6345,-6383,-6146,-5657,-4945,-4046,-3005,-1853,-638,588,1775,2918,3937,4813,5510,
5991,6239,6233,5959,5428,4643,3644,2469,1179,-171,-1513,-2785,-3926,-4874,-5603,-6070,-6261,-6178,-5814,-5230,
-4432,-3457,-2359,-1176,35,1254,2429,3518,4478,5286,5890,6276,6401,6279,5885,5233,4348,3273,2030,709,
-662,-1982,-3206,-4269,-5133,-5747,-6092,-6152,-5961,-5503,-4814,-3927,-2913,-1771,-566,661,1859,3000,4038,4929,
5636,6145,6427,6441,6198,5675,4916,3944,2786,1493,146,-1214,-2493,-3669,-4642,-5402,-5906,-6126,-6072,-5753,
-5184,-4424,-3473,-2382,-1221,-16,1215,2389,3482,4455,5272,5893,6309,6459,6366,5993,5371,4507,3435,2215,
894,-472,-1807,-3044,-4141,-5027,-5682,-6055,-6161,-5988,-5565,-4899,-4046,-3034,-1917,-715,505,1707,2849,3897,
4803,5542,6068,6364,6407,6185,5703,4976,4014,2871,1596,234,-1120,-2424,-3615,-4614,-5397,-5929,-6186,-6173,
-5883,-5348,-4614,-3671,-2606,-1446,-241,975,2155,3258,4240,5077,5723,6151,6341,6259,5920,5325,4484,3424,
2219,906,-457,-1805,-3064,-4179,-5089,-5769,-6175,-6314,-6166,-5775,-5146,-4311,-3308,-2209,-1018,196,1400,2552,
3605,4537,5288,5835,6163,6238,6040,5585,4869,3938,2814,1539,194,-1168,-2477,-3678,-4714,-5525,-6080,-6367,
-6392,-6120,-5622,-4883,-3980,-2931,-1775,-568,649,1844,2955,3959,4805,5479,5937,6157,6116,5806,5232,4421,
3398,2194,888,-466,-1817,-3084,-4203,-5144,-5850,-6291,-6455,-6337,-5974,-5356,-4531,-3555,-2448,-1266,-51,1167,
2327,3400,4353,5132,5709,6056,6163,6010,5577,4906,3988,2893,1636,293,-1071,-2383,-3594,-4652,-5482,-6066,
-6383,-6427,-6194,-5707,-5004,-4101,-3059,-1908,-701,517,1713,2842,3868,4740,5434,5932,6170,6159,5872,5333,
4554,3551,2379,1087,-274,-1619,-2909,-4053,-5009,-5734,-6206,-6394,-6312,-5966,-5381,-4579,-3620,-2517,-1344,-118,
1095,2272,3355,4314,5113,5723,6102,6240,6111,5719,5063,4173,3098,1860,520,-842,-2162,-3390,-4465,-5328,
-5948,-6286,-6361,-6168,-5704,-5018,-4142,-3114,-1985,-778,442,1642,2778,3810,4707,5418,5922,6205,6216,5970,
5464,4701,3727,2558,1270,-83,-1434,-2737,-3901,-4879,-5640,-6147,-6378,-6325,-6003,-5442,-4671,-3716,-2631,-1458,
-252,967,2142,3232,4205,5032,5653,6065,6217,6117,5752,5125,4261,3202,1973,649,-721,-2061,-3299,-4387,
-5281,-5921,-6305,-6402,-6238,-5805,-5143,-4291,-3281,-2148,-954,270,1472,2618,3665,4579,5308,5848,6145,6195,
5974,5489,4755,3804,2657,1379,35,-1325,-2623,-3805,-4812,-5600,-6132,-6388,-6356,-6066,-5530,-4781,-3846,-2768,
-1603,-394,832,2018,3127,4117,4953,5606,6046,6227,6165,5830,5237,4400,3344,2137,827,-537,-1880,-3139,
-4242,-5156,-5836,-6235,-6373,-6228,-5827,-5185,-4344,-3342,-2227,-1037,189,1391,2554,3625,4546,5312,5865,6197,
6275,6083,5643,4934,3997,2875,1604,262,-1097,-2411,-3610,-4636,-5445,-6002,-6295,-6307,-6050,-5533,-4803,-3878,
-2817,-1663,-453,766,1960,3080,4090,4946,5619,6078,6298,6255,5945,5381,4566,3545,2354,1040,-320,-1676,
-2946,-4076,-5014,-5719,-6158,-6316,-6204,-5834,-5224,-4411,-3421,-2320,-1131,95,1317,2470,3542,4490,5272,5849,
6206,6314,6151,5724,5044,4129,3025,1771,428,-933,-2261,-3482,-4540,-5370,-5963,-6281,-6328,-6085,-5610,-4899,
-4008,-2962,-1810,-601,619,1819,2949,3978,4839,5540,6027,6270,6250,5982,5445,4655,3642,2458,1163,-194,
-1552,-2836,-3983,-4952,-5677,-6150,-6345,-6251,-5919,-5308,-4515,-3542,-2451,-1273,-52,1169,2337,3429,4392,5193,
5805,6180,6314,6195,5797,5146,4263,3176,1934,598,-769,-2094,-3323,-4400,-5258,-5878,-6221,-6300,-6094,-5634,
-4945,-4068,-3033,-1891,-687,534,1738,2880,3922,4813,5536,6051,6320,6340,6093,5583,4829,3848,2682,1390,
35,-1320,-2621,-3785,-4766,-5524,-6029,-6248,-6197,-5878,-5320,-4541,-3586,-2497,-1327,-104,1116,2296,3385,4363,
5189,5819,6225,6392,6292,5926,5300,4436,3370,2143,813,-553,-1888,-3129,-4227,-5112,-5762,-6139,-6243,-6075,
-5638,-4978,-4124,-3107,-1976,-775,443,1649,2798,3848,4763,5497,6033,6332,6382,6156,5684,4945,3987,2838,
1559,210,-1149,-2462,-3642,-4654,-5431,-5965,-6227,-6207,-5910,-5377,-4623,-3680,-2615,-1454,-238,984,2177,3275,
4277,5114,5772,6201,6391,6314,5984,5386,4545,3498,2292,965,-401,-1746,-2999,-4111,-5029,-5695,-6113,-6246,
-6109,-5708,-5071,-4224,-3241,-2110,-921,305,1514,2666,3731,4659,5417,5979,6303,6382,6196,5740,5030,4097,
2969,1708,361,-1002,-2322,-3526,-4559,-5371,-5934,-6222,-6233,-5970,-5459,-4732,-3820,-2758,-1605,-394,828,2020,
3143,4138,4998,5676,6133,6349,6307,5993,5428,4613,3579,2388,1079,-294,-1645,-2916,-4046,-4989,-5703,-6142,
-6308,-6202,-5825,-5212,-4399,-3423,-2327,-1137,86,1292,2456,3530,4470,5247,5826,6174,6282,6122,5688,5012,
4099,2988,1723,381,-980,-2306,-3525,-4578,-5419,-6011,-6340,-6382,-6151,-5674,-4962,-4072,-3038,-1889,-683,534,
1728,2859,3871,4750,5447,5932,6170,6152,5877,5337,4545,3537,2364,1062,-303,-1666,-2949,-4101,-5070,-5807,
-6277,-6474,-6387,-6054,-5467,-4672,-3715,-2615,-1430,-212,1006,2163,3252,4215,5016,5610,6003,6133,6003,5614,
4955,4068,2980,1738,404,-954,-2288,-3515,-4593,-5462,-6077,-6426,-6502,-6298,-5841,-5158,-4284,-3261,-2111,-911,
310,1520,2655,3696,4585,5296,5812,6093,6103,5870,5351,4583,3610,2432,1162,-202,-1564,-2851,-4016,-5003,
-5761,-6270,-6494,-6435,-6124,-5565,-4781,-3830,-2750,-1577,-354,865,2044,3141,4128,4947,5573,5977,6148,6047,
5683,5057,4201,3132,1910,579,-786,-2124,-3365,-4458,-5334,-5988,-6367,-6477,-6297,-5870,-5204,-4343,-3325,-2196,
-995,228,1433,2580,3638,4545,5293,5830,6140,6179,5967,5490,4758,3802,2662,1386,32,-1321,-2638,-3813,
-4816,-5609,-6138,-6383,-6366,-6073,-5542,-4788,-3842,-2776,-1609,-385,836,2025,3129,4129,4971,5630,6065,6266,
6196,5864,5270,4429,3392,2189,865,-491,-1833,-3091,-4205,-5126,-5797,-6200,-6341,-6191,-5791,-5145,-4307,-3306,
-2186,-988,234,1448,2611,3679,4610,5370,5932,6261,6343,6156,5711,5010,4071,2946,1669,326,-1034,-2347,
-3544,-4571,-5384,-5953,-6231,-6242,-5983,-5479,-4745,-3823,-2772,-1607,-407,822,2018,3133,4141,5006,5682,6139,
6352,6312,6007,5437,4632,3608,2408,1101,-266,-1622,-2896,-4027,-4969,-5669,-6117,-6285,-6175,-5805,-5181,-4375,
-3396,-2284,-1098,122,1333,2488,3565,4508,5288,5875,6224,6330,6168,5741,5061,4142,3035,1778,438,-938,
-2265,-3490,-4540,-5384,-5984,-6304,-6343,-6116,-5639,-4933,-4040,-2993,-1850,-654,572,1768,2894,3908,4784,5479,
5962,6201,6195,5921,5375,4584,3575,2393,1090,-277,-1635,-2920,-4079,-5046,-5787,-6262,-6457,-6381,-6041,-5446,
-4657,-3694,-2598,-1426,-205,1011,2182,3272,4229,5030,5631,6019,6151,6018,5622,4971,4087,2993,1756,411,
-956,-2287,-3522,-4592,-5456,-6074,-6438,-6499,-6299,-5848,-5162,-4280,-3249,-2112,-907,315,1518,2658,3693,4601,
5320,5832,6098,6119,5882,5369,4608,3630,2470,1175,-179,-1546,-2839,-4007,-4990,-5750,-6245,-6473,-6419,-6102,
-5542,-4760,-3816,-2720,-1547,-319,901,2074,3180,4165,4990,5618,6038,6196,6100,5739,5113,4256,3188,1961,
633,-722,-2059,-3311,-4406,-5290,-5938,-6313,-6417,-6233,-5794,-5136,-4275,-3257,-2120,-916,309,1512,2673,3726,
4640,5387,5924,6223,6286,6070,5591,4852,3895,2754,1479,124,-1234,-2536,-3715,-4727,-5511,-6046,-6295,-6270,
-5980,-5442,-4680,-3744,-2673,-1507,-290,943,2133,3244,4249,5087,5748,6175,6371,6316,5973,5382,4550,3496,
2289,968,-393,-1737,-3002,-4112,-5024,-5696,-6105,-6244,-6103,-5701,-5057,-4223,-3211,-2092,-896,327,1540,2701,
3771,4694,5467,6021,6357,6436,6239,5791,5084,4151,3026,1756,409,-954,-2275,-3470,-4500,-5323,-5876,-6165,
-6172,-5917,-5408,-4673,-3754,-2700,-1538,-328,897,2089,3210,4222,5077,5752,6217,6438,6396,6085,5516,4704,
3686,2481,1163,-198,-1552,-2825,-3962,-4907,-5607,-6055,-6222,-6106,-5738,-5124,-4301,-3331,-2212,-1031,192,1408,
2576,3645,4591,5371,5950,6312,6414,6255,5829,5149,4233,3115,1859,521,-851,-2175,-3399,-4448,-5286,-5887,
-6206,-6247,-6021,-5534,-4828,-3935,-2890,-1746,-538,683,1883,3003,4024,4907,5602,6084,6322,6309,6041,5484,
4701,3699,2516,1210,-157,-1513,-2796,-3949,-4907,-5644,-6118,-6309,-6237,-5895,-5310,-4521,-3543,-2449,-1275,-57,
1158,2327,3408,4374,5171,5782,6159,6294,6158,5763,5116,4230,3130,1897,554,-811,-2149,-3389,-4461,-5324,
-5947,-6296,-6368,-6168,-5714,-5033,-4152,-3120,-1985,-780,449,1648,2781,3814,4709,5432,5933,6210,6224,5987,
5473,4705,3721,2562,1269,-91,-1450,-2740,-3910,-4905,-5671,-6172,-6397,-6346,-6025,-5466,-4688,-3745,-2658,-1481,
-264,952,2143,3239,4220,5035,5659,6071,6234,6132,5768,5147,4277,3205,1969,642,-718,-2069,-3313,-4407,
-5295,-5948,-6335,-6439,-6264,-5841,-5168,-4315,-3291,-2171,-974,250,1465,2612,3663,4580,5320,5860,6150,6200,
5988,5498,4760,3806,2658,1373,16,-1353,-2657,-3845,-4861,-5649,-6179,-6441,-6429,-6138,-5597,-4845,-3908,-2838,
-1669,-449,773,1955,3071,4071,4904,5563,5999,6196,6123,5773,5179,4338,3294,2073,758,-615,-1958,-3226,
-4343,-5260,-5936,-6351,-6482,-6336,-5938,-5297,-4464,-3452,-2333,-1138,90,1306,2466,3535,4462,5224,5788,6114,
6196,6010,5554,4850,3909,2783,1512,159,-1213,-2523,-3719,-4757,-5576,-6131,-6420,-6426,-6163,-5647,-4915,-3995,
-2935,-1765,-544,679,1879,3013,4022,4888,5563,6025,6248,6213,5907,5337,4522,3502,2302,985,-374,-1725,
-3006,-4133,-5071,-5774,-6218,-6387,-6267,-5888,-5269,-4448,-3456,-2343,-1146,72,1297,2475,3556,4503,5290,5882,
6240,6339,6180,5763,5081,4164,3062,1805,460,-913,-2243,-3458,-4514,-5358,-5946,-6261,-6305,-6065,-5582,-4860,
-3962,-2917,-1762,-545,678,1887,3022,4047,4924,5624,6115,6364,6350,6070,5529,4746,3734,2546,1242,-123,
-1480,-2768,-3925,-4892,-5623,-6099,-6291,-6205,-5852,-5267,-4475,-3502,-2403,-1220,5,1224,2406,3495,4449,5251,
5862,6240,6372,6242,5847,5192,4299,3209,1963,626,-757,-2084,-3319,-4397,-5268,-5895,-6242,-6319,-6115,-5652,
-4972,-4090,-3058,-1916,-713,517,1721,2859,3906,4799,5513,6023,6294,6316,6066,5556,4795,3807,2644,1346,
-14,-1382,-2669,-3847,-4830,-5596,-6088,-6324,-6277,-5957,-5390,-4610,-3658,-2565,-1394,-174,1041,2225,3325,4307,
5127,5760,6175,6333,6229,5866,5237,4384,3308,2086,753,-619,-1962,-3209,-4300,-5187,-5842,-6219,-6318,-6137,
-5714,-5056,-4191,-3173,-2043,-836,389,1596,2744,3793,4709,5450,5984,6290,6341,6126,5641,4901,3936,2790,
1513,157,-1202,-2508,-3695,-4710,-5490,-6017,-6273,-6253,-5960,-5425,-4664,-3740,-2671,-1500,-286,941,2129,3239,
4231,5066,5714,6153,6346,6268,5937,5338,4498,3448,2227,910,-459,-1803,-3066,-4179,-5099,-5772,-6191,-6320,
-6181,-5784,-5141,-4301,-3309,-2188,-1002,226,1434,2587,3648,4583,5340,5895,6213,6288,6097,5642,4931,3990,
2862,1590,235,-1135,-2447,-3662,-4685,-5502,-6066,-6350,-6357,-6108,-5591,-4864,-3948,-2891,-1737,-521,696,1881,
3001,4011,4864,5538,5996,6219,6171,5863,5289,4475,3443,2251,938,-428,-1785,-3063,-4194,-5136,-5837,-6285,
-6447,-6326,-5963,-5353,-4529,-3545,-2441,-1256,-36,1182,2344,3418,4366,5145,5728,6083,6197,6032,5608,4929,
4012,2897,1649,300,-1062,-2382,-3599,-4646,-5494,-6091,-6398,-6440,-6212,-5720,-5010,-4111,-3075,-1920,-702,517,
1713,2850,3874,4753,5451,5937,6186,6178,5906,5374,4582,3576,2395,1088,-263,-1613,-2904,-4049,-5009,-5738,
-6217,-6406,-6315,-5966,-5376,-4580,-3607,-2509,-1326,-109,1114,2298,3379,4349,5152,5758,6139,6277,6150,5761,
5104,4217,3130,1894,561,-811,-2144,-3373,-4445,-5307,-5923,-6268,-6343,-6138,-5677,-4991,-4112,-3081,-1938,-727,
500,1698,2837,3879,4777,5491,6003,6279,6305,6057,5540,4785,3802,2633,1355,-9,-1362,-2663,-3835,-4813,
-5570,-6073,-6302,-6238,-5919,-5359,-4587,-3638,-2549,-1375,-153,1072,2248,3346,4320,5143,5776,6181,6341,6246,
5885,5255,4390,3317,2096,769,-601,-1936,-3187,-4277,-5171,-5822,-6194,-6299,-6132,-5696,-5036,-4173,-3162,-2033,
-832,393,1599,2750,3800,4713,5452,5977,6284,6333,6108,5619,4891,3929,2785,1500,143,-1211,-2531,-3715,
-4722,-5511,-6043,-6301,-6286,-5993,-5460,-4708,-3774,-2698,-1536,-320,896,2086,3191,4182,5020,5671,6110,6293,
6220,5883,5288,4443,3393,2182,862,-513,-1863,-3132,-4236,-5157,-5834,-6246,-6383,-6244,-5843,-5206,-4368,-3371,
-2250,-1055,172,1380,2537,3598,4525,5282,5844,6169,6249,6056,5596,4888,3944,2818,1544,192,-1177,-2493,
-3700,-4738,-5552,-6111,-6413,-6421,-6157,-5649,-4924,-4012,-2956,-1787,-578,641,1837,2955,3963,4820,5500,5957,
6175,6130,5829,5262,4439,3406,2206,894,-473,-1828,-3096,-4231,-5175,-5881,-6321,-6488,-6377,-6000,-5387,-4569,
-3584,-2476,-1290,-64,1153,2317,3398,4342,5131,5701,6064,6163,6004,5578,4895,3984,2873,1617,267,-1101,
-2427,-3646,-4702,-5541,-6133,-6450,-6499,-6261,-5777,-5066,-4168,-3116,-1962,-752,476,1673,2805,3832,4708,5412,
5896,6143,6121,5848,5310,4522,3507,2332,1029,-331,-1686,-2973,-4126,-5083,-5822,-6295,-6486,-6402,-6055,-5467,
-4664,-3690,-2590,-1408,-178,1044,2215,3301,4268,5075,5682,6067,6209,6082,5680,5029,4145,3046,1806,464,
-892,-2222,-3457,-4530,-5401,-6013,-6361,-6438,-6226,-5761,-5077,-4196,-3164,-2019,-808,422,1626,2773,3813,4713,
5428,5944,6222,6237,5993,5493,4734,3753,2581,1290,-70,-1421,-2723,-3898,-4871,-5635,-6134,-6357,-6297,-5971,
-5408,-4626,-3663,-2575,-1401,-180,1050,2231,3330,4311,5140,5775,6181,6346,6249,5887,5262,4397,3328,2101,
775,-597,-1934,-3170,-4267,-5153,-5795,-6173,-6269,-6094,-5662,-4996,-4131,-3113,-1972,-773,452,1660,2808,3868,
4786,5522,6063,6359,6415,6199,5709,4970,4015,2867,1590,242,-1126,-2438,-3625,-4625,-5414,-5945,-6196,-6172,
-5876,-5342,-4584,-3644,-2569,-1402,-183,1039,2227,3336,4328,5161,5818,6253,6441,6369,6032,5436,4591,3536,
2325,1006,-369,-1714,-2966,-4083,-4998,-5674,-6090,-6217,-6079,-5674,-5034,-4198,-3197,-2083,-893,333,1540,2696,
3763,4687,5448,5998,6324,6403,6211,5751,5047,4106,2970,1697,346,-1020,-2341,-3547,-4580,-5390,-5962,-6257,
-6268,-6007,-5501,-4773,-3853,-2798,-1648,-443,779,1973,3086,4088,4945,5619,6076,6284,6241,5931,5359,4541,
3515,2317,995,-373,-1732,-3011,-4140,-5089,-5789,-6229,-6403,-6292,-5922,-5310,-4491,-3510,-2401,-1221,-3,1207,
2366,3436,4381,5157,5740,6099,6196,6029,5601,4914,4002,2889,1629,291,-1078,-2400,-3629,-4687,-5522,-6115,
-6438,-6474,-6246,-5767,-5053,-4169,-3122,-1975,-771,454,1649,2784,3803,4671,5373,5858,6098,6085,5812,5265,
4479,3464,2288,987,-375,-1736,-3018,-4163,-5129,-5864,-6328,-6520,-6440,-6091,-5499,-4698,-3730,-2636,-1457,-233,
987,2160,3248,4217,5020,5625,6002,6137,6005,5615,4959,4070,2985,1744,403,-965,-2293,-3528,-4600,-5452,
-6074,-6421,-6493,-6283,-5824,-5140,-4259,-3228,-2087,-876,348,1550,2691,3733,4631,5351,5860,6135,6153,5905,
5399,4633,3644,2489,1194,-162,-1522,-2816,-3986,-4963,-5731,-6227,-6451,-6395,-6081,-5520,-4741,-3777,-2692,-1516,
-295,928,2113,3206,4189,5021,5644,6049,6212,6119,5750,5120,4249,3188,1961,633,-737,-2071,-3319,-4416,
-5306,-5945,-6330,-6427,-6252,-5824,-5162,-4297,-3280,-2148,-947,285,1496,2649,3702,4612,5352,5887,6188,6230,
6021,5542,4810,3837,2698,1418,62,-1303,-2606,-3785,-4786,-5572,-6108,-6361,-6333,-6048,-5510,-4748,-3814,-2740,
-1566,-347,882,2064,3177,4172,5026,5674,6105,6298,6234,5899,5297,4464,3419,2207,883,-483,-1815,-3074,
-4187,-5097,-5770,-6174,-6310,-6166,-5755,-5112,-4273,-3268,-2150,-951,272,1479,2643,3714,4638,5404,5966,6300,
6372,6182,5726,5028,4093,2967,1701,356,-1004,-2326,-3526,-4551,-5360,-5918,-6201,-6207,-5946,-5434,-4706,-3783,
-2722,-1571,-354,868,2066,3182,4185,5042,5723,6173,6392,6353,6046,5480,4658,3629,2437,1124,-237,-1590,
-2863,-3997,-4941,-5645,-6089,-6249,-6138,-5763,-5152,-4332,-3352,-2251,-1062,159,1369,2540,3607,4547,5325,5900,
6256,6357,6189,5764,5078,4166,3042,1786,441,-925,-2254,-3466,-4523,-5361,-5957,-6282,-6325,-6093,-5616,-4905,
-4009,-2971,-1818,-618,601,1798,2916,3936,4816,5503,5991,6223,6206,5928,5379,4589,3582,2404,1091,-271,
-1637,-2923,-4070,-5040,-5767,-6244,-6435,-6359,-6022,-5431,-4625,-3670,-2565,-1386,-168,1040,2208,3288,4256,5051,
5657,6042,6171,6039,5633,4983,4098,3001,1761,430,-938,-2266,-3504,-4576,-5435,-6056,-6409,-6471,-6274,-5813,
-5131,-4249,-3218,-2082,-875,348,1557,2695,3726,4619,5340,5851,6111,6135,5888,5381,4619,3635,2474,1190,
-173,-1524,-2819,-3980,-4960,-5721,-6220,-6442,-6385,-6065,-5500,-4718,-3763,-2680,-1507,-288,935,2121,3220,4201,
5023,5649,6054,6228,6131,5755,5142,4283,3212,1983,662,-703,-2033,-3284,-4368,-5244,-5890,-6272,-6367,-6191,
-5757,-5091,-4223,-3209,-2071,-868,354,1564,2717,3765,4683,5427,5965,6267,6313,6098,5620,4886,3930,2791,
1513,174,-1189,-2496,-3670,-4673,-5463,-5981,-6229,-6201,-5915,-5373,-4611,-3679,-2603,-1434,-208,1014,2202,3310,
4308,5151,5803,6242,6432,6370,6029,5430,4598,3555,2341,1023,-330,-1688,-2931,-4049,-4955,-5631,-6032,-6164,
-6013,-5602,-4967,-4122,-3124,-1999,-801,418,1637,2797,3861,4786,5543,6107,6439,6508,6321,5874,5162,4223,
3098,1837,490,-876,-2185,-3380,-4408,-5221,-5787,-6066,-6071,-5806,-5290,-4561,-3644,-2584,-1436,-218,1005,2195,
3310,4319,5179,5853,6304,6517,6477,6164,5592,4788,3753,2560,1245,-119,-1472,-2739,-3872,-4812,-5507,-5950,
-6119,-6008,-5634,-5021,-4202,-3216,-2110,-924,291,1510,2667,3740,4682,5463,6043,6394,6486,6328,5897,5214,
4298,3192,1934,593,-775,-2098,-3318,-4360,-5206,-5793,-6110,-6154,-5923,-5449,-4736,-3841,-2798,-1654,-445,773,
1969,3088,4106,4980,5676,6149,6396,6383,6108,5557,4767,3759,2577,1268,-85,-1440,-2735,-3879,-4855,-5589,
-6055,-6254,-6175,-5826,-5241,-4456,-3487,-2398,-1219,-2,1207,2378,3467,4417,5208,5812,6190,6320,6180,5787,
5127,4236,3136,1892,555,-808,-2150,-3380,-4449,-5315,-5939,-6297,-6368,-6166,-5719,-5031,-4152,-3129,-1998,-804,
415,1617,2751,3785,4675,5391,5893,6156,6171,5925,5398,4636,3653,2486,1193,-178,-1541,-2833,-4005,-4999,
-5754,-6251,-6481,-6437,-6125,-5561,-4784,-3844,-2758,-1588,-371,835,2011,3111,4086,4897,5525,5927,6084,5981,
5607,4971,4107,3036,1810,474,-895,-2231,-3487,-4580,-5467,-6111,-6493,-6595,-6421,-5991,-5338,-4483,-3462,-2338,
-1137,90,1290,2438,3484,4393,5128,5660,5951,5997,5776,5292,4551,3586,2442,1165,-189,-1560,-2859,-4037,
-5053,-5836,-6364,-6620,-6601,-6312,-5766,-5017,-4079,-3015,-1844,-628,593,1776,2888,3881,4717,5366,5797,5989,
5913,5578,4983,4146,3099,1881,559,-801,-2144,-3401,-4510,-5426,-6093,-6507,-6635,-6490,-6085,-5455,-4604,-3596,
-2478,-1282,-59,1151,2315,3376,4309,5075,5631,5955,6034,5835,5395,4681,3747,2626,1355,15,-1350,-2661,
-3850,-4875,-5689,-6239,-6516,-6520,-6259,-5752,-5013,-4089,-3030,-1863,-637,583,1774,2893,3910,4767,5439,5908,
6121,6084,5782,5207,4398,3377,2179,870,-480,-1829,-3093,-4220,-5154,-5847,-6288,-6443,-6324,-5944,-5326,-4502,
-3515,-2393,-1210,18,1236,2410,3482,4421,5207,5801,6152,6260,6102,5683,5004,4094,2988,1739,402,-964,
-2271,-3479,-4529,-5361,-5953,-6263,-6301,-6064,-5568,-4853,-3954,-2909,-1765,-548,682,1877,3004,4029,4905,5608,
6081,6327,6323,6035,5501,4717,3713,2539,1239,-118,-1466,-2745,-3896,-4847,-5581,-6047,-6239,-6157,-5809,-5217,
-4419,-3452,-2351,-1166,42,1258,2430,3517,4474,5279,5882,6259,6386,6255,5856,5203,4310,3221,1987,651,
-713,-2051,-3275,-4344,-5201,-5822,-6167,-6235,-6039,-5583,-4898,-4024,-2990,-1857,-656,567,1766,2895,3927,4819,
5537,6044,6311,6333,6081,5559,4793,3815,2653,1354,1,-1350,-2641,-3813,-4795,-5559,-6051,-6279,-6229,-5905,
-5339,-4569,-3625,-2541,-1364,-150,1063,2239,3337,4310,5118,5743,6156,6308,6208,5837,5212,4351,3278,2049,
725,-635,-1972,-3213,-4307,-5194,-5841,-6223,-6319,-6145,-5714,-5051,-4190,-3178,-2056,-861,365,1569,2707,3764,
4671,5406,5934,6228,6277,6054,5570,4832,3871,2726,1448,94,-1270,-2565,-3746,-4758,-5532,-6059,-6315,-6295,
-6005,-5470,-4715,-3788,-2714,-1548,-337,877,2058,3165,4157,4994,5632,6061,6259,6179,5829,5239,4399,3351,
2136,822,-540,-1886,-3149,-4252,-5162,-5839,-6247,-6376,-6235,-5833,-5200,-4362,-3362,-2240,-1054,166,1377,2529,
3582,4510,5268,5818,6145,6222,6026,5569,4860,3913,2792,1523,172,-1186,-2495,-3692,-4724,-5539,-6088,-6372,
-6383,-6115,-5607,-4876,-3958,-2907,-1752,-529,680,1871,2997,4001,4849,5521,5977,6202,6149,5844,5276,4462,
3437,2234,929,-427,-1779,-3046,-4171,-5106,-5801,-6244,-6416,-6292,-5922,-5305,-4475,-3496,-2384,-1209,15,1228,
2393,3460,4416,5198,5783,6126,6233,6067,5648,4957,4059,2939,1704,356,-1018,-2327,-3540,-4584,-5422,-5997,
-6312,-6350,-6126,-5632,-4924,-4019,-2978,-1818,-615,613,1806,2934,3966,4838,5532,6018,6262,6250,5964,5421,
4639,3633,2453,1161,-196,-1546,-2826,-3978,-4929,-5643,-6122,-6306,-6226,-5867,-5278,-4487,-3514,-2417,-1239,-17,
1202,2372,3461,4414,5215,5820,6199,6333,6198,5800,5148,4264,3168,1931,595,-765,-2093,-3318,-4385,-5251,
-5870,-6213,-6276,-6080,-5615,-4928,-4049,-3020,-1883,-678,542,1741,2875,3911,4808,5519,6012,6285,6302,6048,
5531,4764,3789,2621,1328,-25,-1380,-2672,-3831,-4817,-5567,-6067,-6296,-6245,-5929,-5360,-4590,-3639,-2551,-1386,
-170,1040,2216,3308,4284,5101,5726,6131,6289,6175,5812,5182,4314,3239,2017,694,-672,-2014,-3264,-4353,
-5247,-5888,-6264,-6368,-6200,-5780,-5113,-4256,-3250,-2120,-923,294,1490,2626,3673,4576,5311,5841,6136,6173,
5951,5454,4714,3765,2609,1333,-20,-1379,-2682,-3872,-4878,-5663,-6186,-6445,-6420,-6135,-5604,-4855,-3926,-2860,
-1695,-491,728,1901,3008,3996,4821,5463,5894,6079,6003,5663,5061,4214,3166,1955,647,-724,-2065,-3321,
-4424,-5337,-6013,-6423,-6551,-6414,-6013,-5374,-4538,-3536,-2432,-1242,-19,1182,2326,3394,4317,5070,5616,5945,
6012,5826,5365,4664,3723,2605,1331,-13,-1366,-2670,-3870,-4888,-5691,-6251,-6536,-6548,-6288,-5764,-5031,-4123,
-3063,-1909,-689,525,1718,2843,3844,4689,5368,5821,6037,6002,5691,5121,4310,3288,2102,794,-557,-1906,
-3166,-4285,-5217,-5910,-6344,-6499,-6378,-6002,-5389,-4566,-3578,-2476,-1283,-66,1151,2319,3383,4335,5113,5688,
6052,6157,6001,5578,4901,3989,2896,1644,318,-1034,-2344,-3558,-4597,-5423,-5999,-6307,-6347,-6103,-5614,-4900,
-4000,-2962,-1805,-591,634,1832,2959,3987,4866,5557,6044,6295,6284,6012,5477,4700,3705,2522,1233,-113,
-1462,-2728,-3864,-4814,-5530,-5998,-6189,-6100,-5742,-5147,-4344,-3383,-2274,-1091,126,1352,2520,3609,4578,5374,
5981,6358,6488,6365,5967,5319,4447,3361,2126,807,-554,-1867,-3083,-4153,-5001,-5612,-5953,-6020,-5817,-5352,
-4662,-3783,-2750,-1603,-405,831,2020,3157,4199,5090,5809,6317,6591,6604,6350,5847,5087,4110,2947,1680,
324,-1018,-2315,-3468,-4447,-5194,-5692,-5904,-5856,-5532,-4965,-4186,-3232,-2148,-987,238,1456,2637,3721,4690,
5509,6139,6539,6704,6600,6234,5602,4742,3674,2461,1139,-220,-1549,-2782,-3870,-4756,-5392,-5769,-5866,-5690,
-5264,-4600,-3738,-2729,-1607,-405,812,2012,3160,4197,5109,5839,6360,6658,6706,6474,6000,5264,4303,3156,
1879,525,-832,-2132,-3309,-4312,-5095,-5624,-5877,-5864,-5571,-5038,-4289,-3353,-2293,-1133,75,1283,2468,3564,
4544,5390,6025,6441,6625,6550,6210,5600,4752,3708,2504,1178,-178,-1529,-2780,-3889,-4805,-5480,-5889,-6019,
-5884,-5495,-4866,-4032,-3046,-1927,-741,472,1663,2811,3857,4776,5525,6076,6395,6463,6261,5791,5075,4145,
3007,1737,392,-971,-2284,-3486,-4519,-5328,-5891,-6186,-6195,-5945,-5433,-4715,-3816,-2757,-1616,-416,796,1981,
3091,4078,4922,5583,6032,6233,6185,5873,5295,4468,3437,2240,929,-443,-1794,-3060,-4187,-5129,-5835,-6272,
-6445,-6343,-5971,-5364,-4559,-3585,-2494,-1306,-94,1102,2256,3324,4259,5029,5587,5933,6024,5856,5415,4741,
3817,2711,1452,108,-1258,-2576,-3792,-4829,-5670,-6254,-6582,-6625,-6398,-5915,-5208,-4320,-3277,-2130,-938,276,
1464,2584,3593,4457,5156,5631,5868,5851,5559,5020,4227,3219,2052,745,-603,-1955,-3246,-4379,-5339,-6068,
-6532,-6724,-6641,-6297,-5716,-4921,-3951,-2867,-1681,-463,746,1911,2987,3945,4745,5332,5721,5848,5714,5317,
4659,3772,2690,1451,122,-1234,-2554,-3772,-4844,-5699,-6305,-6655,-6724,-6514,-6058,-5366,-4497,-3470,-2333,-1125,
93,1296,2432,3468,4348,5055,5566,5840,5854,5606,5097,4340,3351,2202,896,-435,-1798,-3076,-4230,-5202,
-5956,-6452,-6666,-6608,-6289,-5716,-4943,-3990,-2909,-1739,-529,696,1871,2969,3945,4764,5390,5784,5949,5852,
5483,4856,4001,2936,1718,388,-962,-2289,-3517,-4602,-5475,-6116,-6478,-6584,-6409,-5973,-5303,-4451,-3433,-2302,
-1097,121,1336,2468,3517,4421,5168,5698,5998,6038,5820,5338,4615,3657,2514,1254,-94,-1443,-2741,-3908,
-4901,-5682,-6201,-6445,-6420,-6125,-5584,-4831,-3888,-2815,-1659,-434,785,1973,3070,4068,4902,5557,5980,6173,
6097,5767,5168,4334,3300,2093,781,-569,-1895,-3134,-4236,-5141,-5799,-6193,-6322,-6173,-5768,-5119,-4271,-3286,
-2158,-966,251,1460,2625,3689,4613,5364,5919,6250,6329,6135,5687,4985,4057,2938,1678,344,-998,-2309,
-3490,-4510,-5306,-5863,-6142,-6143,-5871,-5362,-4631,-3712,-2655,-1500,-290,930,2124,3236,4232,5096,5766,6225,
6434,6386,6084,5509,4702,3691,2506,1199,-155,-1489,-2748,-3865,-4795,-5487,-5925,-6079,-5960,-5588,-4974,-4155,
-3182,-2068,-888,333,1538,2692,3759,4702,5472,6049,6394,6492,6325,5899,5213,4310,3202,1948,620,-737,
-2046,-3260,-4303,-5122,-5714,-6030,-6071,-5841,-5354,-4659,-3764,-2723,-1590,-394,832,2012,3139,4146,5016,5703,
6170,6411,6394,6108,5571,4772,3776,2599,1310,-55,-1396,-2669,-3806,-4766,-5489,-5955,-6150,-6082,-5724,-5139,
-4352,-3384,-2302,-1127,90,1293,2453,3539,4487,5282,5861,6238,6368,6229,5822,5176,4284,3208,1959,630,
-729,-2042,-3273,-4329,-5185,-5799,-6148,-6226,-6015,-5561,-4886,-4001,-2987,-1848,-664,556,1751,2888,3900,4786,
5498,6001,6264,6273,6023,5513,4745,3770,2613,1319,-26,-1379,-2672,-3821,-4801,-5551,-6043,-6265,-6212,-5904,
-5342,-4567,-3612,-2543,-1369,-160,1052,2226,3313,4278,5098,5706,6117,6272,6165,5795,5159,4301,3243,2005,
698,-659,-1987,-3223,-4311,-5190,-5827,-6211,-6314,-6133,-5698,-5043,-4192,-3163,-2044,-855,362,1570,2707,3745,
4641,5375,5898,6200,6232,6024,5523,4798,3833,2688,1419,78,-1281,-2568,-3750,-4741,-5536,-6056,-6310,-6284,
-6001,-5454,-4711,-3778,-2715,-1560,-354,869,2046,3154,4139,4969,5612,6039,6211,6146,5790,5196,4359,3315,
2114,790,-570,-1900,-3156,-4260,-5159,-5823,-6231,-6368,-6220,-5820,-5182,-4359,-3354,-2248,-1060,154,1358,2505,
3566,4478,5232,5785,6111,6173,5969,5518,4811,3869,2752,1490,155,-1205,-2516,-3702,-4719,-5533,-6091,-6366,
-6375,-6117,-5610,-4885,-3972,-2917,-1766,-548,658,1840,2944,3943,4804,5469,5917,6133,6076,5772,5203,4386,
3360,2173,1,6,-74,-183,-431,-529,-405,-237,197,867,1498,2079,2408,2112,1316,85,-1678,-3632,
-5383,-6905,-7869,-7950,-7299,-6160,-4543,-2628,-702,1080,2659,3835,4428,4448,3825,2514,696,-1381,-3518,-5502,
-7067,-8049,-8443,-8226,-7495,-6462,-5141,-3590,-2032,-379,1382,2905,4151,5211,5536,4851,3631,1838,-691,-3215,
-5193,-6841,-7914,-8057,-7517,-6401,-4606,-2496,-418,1688,3633,5291,6676,7421,7180,6288,4937,2984,654,-1550,
-3547,-5063,-5743,-5725,-5120,-3895,-2345,-835,738,2473,4150,5566,6752,7556,7658,7131,6101,4487,2428,204,
-1926,-3663,-4822,-5489,-5631,-5030,-3744,-2122,-176,2095,4226,5849,6949,7468,7438,6904,6029,4614,3091,1750,
241,-1221,-2345,-3373,-3913,-3679,-2988,-1880,-140,1872,4073,6169,7852,9106,9778,9719,8619,6827,4947,2833,
731,-1093,-2674,-3766,-4256,-3917,-3058,-2106,-836,472,1623,2924,4238,5303,6128,6495,6147,5255,3877,2095,
107,-1795,-3391,-4714,-5595,-5989,-5884,-5028,-3546,-1747,241,2146,3739,5038,5926,6177,5703,4707,3440,1745,
-228,-2039,-3861,-5455,-6404,-6798,-6506,-5567,-4228,-2702,-1066,487,1742,2737,3568,4037,4136,3875,3028,1678,
211,-1420,-3030,-4436,-5705,-6655,-7066,-6871,-6089,-4852,-3123,-1014,1059,2998,4549,5264,5186,4506,3200,1543,
-207,-2089,-3923,-5357,-6265,-6697,-6639,-5995,-4968,-3538,-1717,122,1820,3382,4654,5531,6050,6115,5454,4186,
2498,422,-1736,-3600,-5178,-6308,-6621,-6238,-5357,-3941,-2190,-360,1496,3260,4639,5481,5850,5659,4888,3752,
2284,492,-1335,-2930,-4263,-5136,-5396,-5221,-4538,-3284,-1667,77,1922,3701,5143,6226,6912,6998,6524,5584,
4228,2465,603,-1190,-2892,-4237,-5054,-5408,-5165,-4264,-2940,-1343,505,2284,3836,5062,5816,6026,5734,5017,
3802,2237,649,-919,-2319,-3325,-3958,-4215,-4017,-3362,-2426,-1201,288,1769,3125,4411,5339,5772,5740,5198,
4131,2750,1155,-529,-2130,-3434,-4380,-4921,-4937,-4478,-3670,-2521,-1108,309,1681,2995,3958,4499,4688,4347,
3500,2296,786,-949,-2660,-4102,-5243,-5943,-6066,-5729,-4972,-3719,-2161,-534,1104,2569,3663,4392,4718,4461,
3672,2545,1093,-582,-2121,-3514,-4694,-5403,-5615,-5417,-4785,-3765,-2529,-1197,252,1622,2748,3609,4129,4086,
3595,2734,1415,-134,-1694,-3229,-4543,-5404,-5856,-5868,-5382,-4464,-3282,-1885,-350,1083,2346,3432,4152,4393,
4243,3671,2621,1345,-44,-1517,-2873,-3886,-4576,-4880,-4649,-4017,-3100,-1848,-410,1007,2356,3549,4357,4763,
4784,4323,3388,2169,721,-876,-2307,-3462,-4343,-4781,-4662,-4155,-3276,-2051,-669,735,2124,3353,4244,4784,
4945,4598,3809,2738,1359,-176,-1604,-2847,-3851,-4429,-4565,-4345,-3738,-2769,-1591,-286,1119,2422,3465,4274,
4702,4608,4101,3235,1969,501,-954,-2362,-3579,-4377,-4765,-4755,-4251,-3312,-2152,-764,769,2201,3473,4524,
5165,5307,5034,4285,3076,1633,81,-1503,-2895,-3902,-4552,-4728,-4359,-3582,-2505,-1114,407,1853,3187,4328,
5044,5349,5248,4654,3597,2282,752,-895,-2391,-3608,-4530,-5004,-4926,-4421,-3504,-2194,-683,863,2408,3745,
4697,5255,5375,4916,4012,2817,1328,-288,-1745,-2996,-3985,-4510,-4570,-4256,-3508,-2382,-1044,415,1954,3338,
4430,5224,5561,5312,4618,3497,1957,233,-1445,-3021,-4298,-5096,-5413,-5260,-4594,-3508,-2189,-651,973,2461,
3722,4705,5202,5163,4672,3693,2284,673,-999,-2627,-3988,-4888,-5372,-5345,-4759,-3744,-2447,-874,795,2353,
3720,4816,5421,5539,5192,4289,2962,1396,-336,-2109,-3623,-4792,-5576,-5821,-5493,-4747,-3606,-2127,-502,1103,
2643,3918,4761,5142,5044,4326,3156,1671,-92,-1905,-3509,-4834,-5765,-6125,-5921,-5254,-4097,-2568,-864,893,
2626,4078,5137,5778,5866,5335,4348,2952,1204,-632,-2335,-3841,-4950,-5510,-5535,-5058,-4036,-2618,-1000,761,
2509,3981,5103,5827,5961,5511,4592,3215,1473,-351,-2115,-3708,-4898,-5551,-5716,-5339,-4394,-3074,-1506,273,
2038,3604,4907,5809,6145,5941,5224,3997,2385,639,-1147,-2826,-4122,-4963,-5368,-5186,-4453,-3337,-1887,-186,
1525,3109,4486,5463,5911,5839,5228,4057,2509,768,-1095,-2848,-4244,-5244,-5761,-5681,-5046,-3997,-2548,-849,
906,2583,4111,5230,5873,6042,5623,4616,3238,1561,-287,-2041,-3517,-4658,-5309,-5374,-4935,-4030,-2697,-1101,
571,2263,3804,4972,5712,6004,5682,4812,3527,1893,26,-1792,-3422,-4760,-5604,-5872,-5637,-4887,-3650,-2143,
-497,1236,2826,4090,5015,5467,5332,4688,3594,2071,299,-1465,-3141,-4560,-5481,-5881,-5790,-5128,-3988,-2550,
-904,846,2457,3814,4867,5426,5439,4957,3978,2529,839,-931,-2710,-4255,-5355,-6021,-6160,-5712,-4773,-3479,
-1876,-149,1510,2984,4187,4898,5098,4819,4007,2705,1149,-582,-2358,-3936,-5155,-5980,-6294,-6032,-5302,-4185,
-2690,-1052,567,2099,3385,4224,4624,4552,3907,2790,1373,-296,-2057,-3655,-4988,-5968,-6430,-6348,-5803,-4806,
-3411,-1833,-198,1424,2810,3826,4439,4578,4144,3262,2010,446,-1248,-2833,-4248,-5343,-5919,-6011,-5656,-4799,
-3558,-2123,-549,1028,2414,3515,4281,4584,4349,3701,2621,1174,-417,-1989,-3482,-4654,-5366,-5639,-5427,-4701,
-3586,-2218,-637,981,2465,3739,4718,5218,5236,4824,3929,2631,1160,-397,-1924,-3180,-4045,-4514,-4490,-3958,
-3051,-1837,-355,1178,2627,3958,4997,5612,5808,5560,4812,3662,2278,710,-868,-2228,-3290,-3985,-4169,-3854,
-3154,-2069,-698,781,2249,3660,4808,5594,6009,5961,5412,4460,3190,1663,74,-1374,-2619,-3512,-3913,-3844,
-3371,-2467,-1250,101,1520,2923,4104,5000,5565,5678,5298,4530,3385,1922,382,-1110,-2489,-3535,-4133,-4320,
-4054,-3332,-2278,-992,453,1911,3224,4317,5103,5427,5297,4751,3742,2386,883,-683,-2176,-3381,-4202,-4627,
-4574,-4037,-3126,-1938,-500,970,2343,3577,4492,4954,4997,4585,3675,2416,946,-660,-2216,-3540,-4550,-5188,
-5330,-5003,-4292,-3210,-1834,-372,1099,2490,3595,4318,4632,4447,3730,2640,1243,-371,-1985,-3399,-4574,-5370,
-5650,-5476,-4887,-3859,-2546,-1082,454,1936,3164,4073,4580,4574,4043,3106,1793,199,-1414,-2927,-4263,-5218,
-5693,-5740,-5325,-4460,-3261,-1860,-316,1216,2559,3648,4373,4562,4276,3532,2324,795,-827,-2455,-3924,-5039,
-5710,-5923,-5620,-4839,-3688,-2257,-649,971,2450,3718,4604,4986,4895,4312,3208,1779,170,-1522,-3083,-4321,
-5170,-5573,-5428,-4797,-3794,-2433,-844,765,2313,3698,4725,5299,5414,4995,4054,2756,1181,-551,-2212,-3609,
-4684,-5282,-5326,-4874,-3974,-2643,-1060,609,2272,3790,4947,5695,5976,5692,4870,3660,2093,326,-1384,-2922,
-4179,-4956,-5202,-4940,-4195,-2987,-1504,155,1860,3453,4742,5671,6136,6024,5397,4332,2845,1118,-614,-2275,
-3676,-4637,-5083,-5038,-4445,-3366,-1940,-298,1472,3125,4534,5635,6255,6295,5832,4858,3435,1744,-22,-1763,
-3257,-4344,-4968,-5078,-4626,-3695,-2412,-820,906,2567,4068,5282,6026,6240,5958,5124,3810,2197,414,-1387,
-3008,-4247,-5096,-5397,-5131,-4378,-3227,-1706,-18,1673,3258,4588,5487,5888,5768,5067,3864,2327,521,-1351,
-3043,-4433,-5427,-5855,-5727,-5101,-4019,-2557,-910,789,2422,3813,4807,5373,5411,4851,3818,2403,669,-1170,
-2888,-4381,-5497,-6074,-6121,-5644,-4676,-3327,-1736,-31,1665,3140,4293,5053,5286,4936,4105,2831,1188,-595,
-2340,-3923,-5149,-5854,-6055,-5730,-4846,-3572,-2031,-317,1402,2929,4178,5051,5405,5214,4528,3355,1797,53,
-1724,-3400,-4748,-5647,-6068,-5937,-5244,-4155,-2744,-1096,585,2148,3500,4507,5029,5052,4579,3591,2188,565,
-1204,-2915,-4347,-5393,-5994,-6009,-5498,-4531,-3188,-1576,110,1737,3185,4299,4954,5138,4804,3933,2667,1134,
-594,-2301,-3766,-4935,-5675,-5880,-5578,-4830,-3658,-2190,-597,1023,2545,3764,4605,5032,4915,4260,3196,1768,
98,-1588,-3133,-4439,-5325,-5708,-5601,-5020,-3970,-2608,-1052,596,2173,3493,4503,5090,5141,4683,3784,2474,
880,-779,-2383,-3782,-4808,-5367,-5466,-5071,-4202,-3012,-1593,-24,1514,2876,3987,4723,4983,4774,4098,2974,
1529,-48,-1683,-3179,-4330,-5089,-5403,-5173,-4485,-3444,-2097,-566,976,2428,3657,4543,4975,4952,4441,3447,
2124,604,-1038,-2552,-3800,-4694,-5151,-5096,-4587,-3681,-2438,-976,543,2016,3343,4343,4965,5167,4858,4092,
2966,1557,-24,-1560,-2904,-3973,-4614,-4772,-4471,-3747,-2623,-1257,227,1750,3144,4254,5049,5411,5270,4653,
3650,2286,711,-876,-2356,-3598,-4435,-4803,-4732,-4177,-3202,-1959,-525,990,2409,3611,4539,5069,5113,4713,
3896,2690,1228,-309,-1847,-3179,-4158,-4734,-4864,-4473,-3655,-2500,-1085,469,1991,3377,4502,5260,5542,5384,
4735,3646,2283,766,-818,-2230,-3341,-4092,-4389,-4182,-3536,-2520,-1195,326,1845,3300,4554,5433,5903,5935,
5445,4507,3254,1749,142,-1370,-2649,-3621,-4145,-4181,-3773,-2962,-1771,-373,1118,2611,3953,4971,5637,5860,
5547,4768,3607,2106,464,-1149,-2595,-3756,-4475,-4709,-4500,-3808,-2714,-1376,130,1689,3116,4296,5151,5560,
5460,4885,3875,2483,881,-740,-2290,-3575,-4443,-4879,-4843,-4293,-3340,-2084,-608,960,2469,3783,4808,5415,
5512,5151,4274,2966,1402,-279,-1956,-3409,-4501,-5154,-5322,-4958,-4153,-2983,-1538,37,1576,2993,4147,4880,
5156,4962,4213,3046,1579,-100,-1803,-3344,-4566,-5396,-5712,-5526,-4871,-3811,-2408,-861,734,2259,3544,4446,
4941,4919,4358,3326,1936,267,-1476,-3113,-4498,-5514,-6022,-6006,-5512,-4545,-3208,-1675,-22,1583,2970,4013,
4665,4796,4378,3485,2182,558,-1183,-2859,-4368,-5499,-6143,-6303,-5956,-5089,-3848,-2356,-707,963,2460,3679,
4499,4832,4625,3925,2757,1227,-462,-2169,-3776,-5036,-5862,-6209,-6031,-5330,-4192,-2745,-1079,639,2226,3586,
4572,5055,5014,4460,3381,1917,238,-1536,-3223,-4622,-5605,-6134,-6111,-5563,-4577,-3223,-1608,79,1724,3183,
4309,4971,5145,4768,3862,2528,919,-859,-2579,-4075,-5204,-5896,-6029,-5632,-4776,-3493,-1922,-229,1481,3059,
4313,5153,5518,5324,4583,3394,1857,104,-1650,-3240,-4526,-5363,-5652,-5428,-4704,-3521,-2036,-380,1330,2930,
4266,5237,5753,5726,5164,4144,2708,1020,-723,-2377,-3795,-4783,-5279,-5263,-4733,-3716,-2355,-763,928,2570,
3986,5074,5732,5850,5454,4570,3223,1584,-163,-1890,-3415,-4540,-5220,-5371,-4987,-4112,-2862,-1329,350,1991,
3466,4664,5452,5738,5535,4829,3649,2155,491,-1213,-2771,-3994,-4817,-5137,-4915,-4214,-3100,-1646,-14,1622,
3190,4502,5427,5896,5877,5320,4293,2902,1268,-461,-2082,-3437,-4448,-4955,-4913,-4402,-3435,-2098,-536,1078,
2655,4021,5046,5649,5774,5375,4494,3231,1666,-40,-1668,-3117,-4242,-4898,-5056,-4723,-3922,-2713,-1259,339,
1936,3394,4561,5375,5707,5516,4846,3753,2287,645,-1011,-2551,-3804,-4616,-4958,-4806,-4156,-3086,-1724,-181,
1423,2901,4161,5110,5585,5570,5085,4134,2793,1221,-424,-2017,-3357,-4326,-4849,-4903,-4438,-3564,-2362,-898,
670,2168,3523,4593,5253,5449,5185,4421,3245,1787,162,-1465,-2917,-4036,-4765,-4996,-4719,-4010,-2924,-1529,
-11,1513,2933,4110,4915,5306,5223,4647,3635,2307,735,-896,-2394,-3651,-4544,-4959,-4893,-4373,-3453,-2190,
-766,739,2192,3466,4420,4989,5127,4744,3935,2745,1248,-359,-1917,-3312,-4385,-5008,-5159,-4844,-4073,-2942,
-1573,-69,1444,2794,3895,4646,4938,4745,4109,3043,1654,98,-1476,-2932,-4099,-4874,-5207,-5061,-4443,-3454,
-2189,-715,799,2206,3437,4340,4822,4842,4406,3496,2236,745,-851,-2390,-3694,-4663,-5229,-5302,-4875,-4069,
-2905,-1488,19,1487,2815,3862,4510,4717,4448,3681,2529,1096,-524,-2111,-3516,-4627,-5347,-5574,-5324,-4655,
-3600,-2254,-769,749,2161,3345,4171,4580,4502,3940,2952,1635,87,-1510,-2991,-4247,-5124,-5550,-5498,-5000,
-4065,-2812,-1359,195,1705,3018,4036,4666,4798,4426,3613,2377,867,-753,-2326,-3706,-4747,-5346,-5485,-5139,
-4330,-3191,-1790,-235,1310,2703,3855,4635,4960,4784,4137,3042,1624,42,-1582,-3090,-4297,-5107,-5475,-5316,
-4688,-3684,-2348,-796,790,2293,3598,4562,5091,5138,4679,3742,2432,882,-793,-2379,-3713,-4699,-5234,-5252,
-4782,-3875,-2614,-1101,504,2080,3489,4591,5279,5512,5217,4422,3231,1743,62,-1580,-3044,-4215,-4954,-5196,
-4940,-4222,-3097,-1679,-103,1513,3004,4215,5076,5489,5359,4730,3664,2220,549,-1163,-2749,-4066,-4985,-5407,
-5329,-4747,-3715,-2361,-811,845,2406,3726,4738,5290,5337,4871,3940,2600,1003,-688,-2318,-3742,-4779,-5370,
-5478,-5043,-4155,-2920,-1422,228,1831,3272,4416,5149,5382,5107,4328,3103,1558,-142,-1870,-3409,-4603,-5378,
-5655,-5381,-4639,-3488,-2027,-388,1253,2773,4041,4911,5297,5200,4541,3411,1958,274,-1482,-3079,-4392,-5310,
-5743,-5624,-5029,-3999,-2613,-1028,624,2211,3575,4584,5167,5264,4794,3851,2517,904,-837,-2505,-3933,-5012,
-5609,-5676,-5238,-4329,-3022,-1481,184,1841,3315,4455,5204,5444,5152,4352,3128,1578,-146,-1841,-3352,-4554,
-5280,-5511,-5236,-4446,-3261,-1807,-166,1495,3014,4273,5176,5603,5517,4930,3876,2429,780,-926,-2541,-3859,
-4757,-5187,-5100,-4466,-3417,-2041,-442,1223,2810,4175,5215,5795,5875,5440,4504,3163,1564,-149,-1827,-3253,
-4309,-4914,-5007,-4577,-3694,-2444,-943,676,2250,3663,4776,5468,5713,5454,4678,3487,1993,320,-1367,-2878,
-4085,-4877,-5167,-4941,-4252,-3148,-1734,-162,1443,2948,4189,5059,5493,5415,4804,3755,2351,714,-971,-2539,
-3847,-4768,-5199,-5134,-4587,-3592,-2274,-770,831,2365,3687,4676,5258,5357,4943,4072,2812,1258,-393,-2001,
-3415,-4474,-5081,-5229,-4875,-4055,-2882,-1466,92,1640,3035,4145,4884,5158,4919,4220,3070,1595,-25,-1678,
-3192,-4379,-5165,-5481,-5296,-4629,-3585,-2234,-719,837,2270,3503,4376,4806,4781,4268,3275,1955,409,-1222,
-2772,-4054,-4986,-5469,-5451,-4953,-4045,-2806,-1327,218,1729,3077,4111,4746,4933,4615,3822,2627,1161,-454,
-2038,-3442,-4523,-5194,-5358,-5056,-4307,-3167,-1764,-241,1301,2714,3861,4640,5004,4866,4258,3239,1893,330,
-1264,-2736,-3956,-4780,-5141,-5055,-4482,-3491,-2203,-729,816,2295,3569,4525,5093,5177,4785,3941,2704,1220,
-355,-1909,-3264,-4248,-4814,-4898,-4517,-3684,-2503,-1071,471,1994,3356,4455,5172,5436,5222,4554,3450,2064,
503,-1078,-2518,-3657,-4413,-4700,-4512,-3860,-2843,-1515,-25,1487,2915,4151,5017,5469,5481,4991,4047,2759,
1258,-347,-1864,-3143,-4080,-4578,-4582,-4128,-3258,-2026,-574,945,2456,3787,4804,5441,5619,5303,4514,3350,
1894,289,-1260,-2651,-3742,-4403,-4591,-4322,-3592,-2502,-1148,347,1864,3258,4409,5203,5563,5432,4823,3791,
2397,811,-805,-2320,-3582,-4424,-4833,-4759,-4216,-3247,-1978,-514,1024,2494,3752,4720,5238,5287,4848,3957,
2654,1117,-514,-2118,-3486,-4503,-5089,-5190,-4798,-3966,-2807,-1379,155,1666,3030,4130,4816,5065,4822,4083,
2914,1450,-178,-1821,-3311,-4486,-5256,-5561,-5350,-4694,-3637,-2266,-740,822,2285,3520,4385,4808,4753,4171,
3136,1754,126,-1555,-3122,-4453,-5385,-5854,-5793,-5279,-4312,-3019,-1505,77,1628,2971,4001,4612,4751,4377,
3526,2274,727,-943,-2561,-3996,-5088,-5719,-5868,-5531,-4710,-3504,-2042,-425,1194,2657,3848,4662,4981,4786,
4106,2975,1487,-164,-1843,-3380,-4615,-5425,-5757,-5576,-4914,-3816,-2430,-836,799,2326,3629,4590,5070,5048,
4529,3536,2149,537,-1145,-2753,-4101,-5070,-5576,-5575,-5058,-4125,-2824,-1277,371,1964,3391,4497,5174,5352,
5014,4176,2911,1367,-320,-1975,-3420,-4543,-5215,-5364,-4998,-4193,-2975,-1476,169,1795,3296,4505,5331,5669,
5500,4805,3684,2220,549,-1145,-2674,-3934,-4771,-5101,-4941,-4287,-3209,-1810,-223,1414,2975,4289,5246,5770,
5762,5228,4237,2853,1206,-504,-2132,-3518,-4514,-5037,-5051,-4552,-3603,-2283,-749,901,2497,3887,4970,5628,
5773,5407,4552,3275,1700,-7,-1683,-3167,-4303,-4987,-5176,-4849,-4043,-2864,-1407,221,1825,3284,4484,5291,
5613,5437,4750,3617,2144,466,-1233,-2816,-4086,-4958,-5335,-5181,-4530,-3476,-2072,-494,1138,2669,3965,4901,
5392,5386,4862,3861,2498,884,-827,-2452,-3808,-4829,-5366,-5381,-4916,-3994,-2716,-1204,396,1971,3366,4432,
5088,5287,4960,4139,2935,1414,-271,-1919,-3399,-4555,-5280,-5499,-5214,-4458,-3300,-1861,-275,1336,2802,3999,
4828,5205,5045,4413,3342,1915,276,-1380,-2917,-4187,-5055,-5436,-5331,-4724,-3706,-2370,-847,761,2269,3566,
4543,5091,5150,4717,3830,2547,1012,-622,-2199,-3568,-4574,-5139,-5222,-4800,-3927,-2720,-1247,334,1888,3283,
4399,5108,5360,5115,4385,3224,1781,160,-1466,-2924,-4058,-4804,-5056,-4799,-4104,-3018,-1645,-117,1419,2859,
4059,4896,5313,5254,4684,3697,2362,806,-837,-2347,-3630,-4536,-4989,-4943,-4426,-3498,-2232,-767,776,2278,
3580,4557,5153,5282,4894,4066,2841,1341,-280,-1852,-3235,-4277,-4892,-5018,-4679,-3876,-2720,-1326,200,1734,
3098,4214,4963,5270,5079,4422,3349,1950,377,-1210,-2678,-3864,-4649,-4998,-4846,-4226,-3221,-1922,-430,1103,
2543,3769,4679,5163,5171,4700,3778,2476,949,-664,-2226,-3545,-4501,-5037,-5066,-4620,-3747,-2544,-1103,427,
1932,3260,4306,4957,5154,4869,4111,2960,1533,-60,-1636,-3024,-4134,-4834,-5057,-4809,-4115,-3043,-1689,-174,
1353,2786,3967,4802,5206,5129,4547,3555,2214,643,-981,-2491,-3738,-4625,-5047,-4977,-4453,-3505,-2249,-780,
773,2266,3554,4530,5104,5195,4799,3943,2709,1202,-410,-1973,-3346,-4388,-4994,-5140,-4800,-4003,-2870,-1489,
54,1570,2957,4070,4821,5113,4907,4233,3139,1710,128,-1492,-2988,-4182,-4969,-5313,-5148,-4509,-3478,-2155,
-635,930,2406,3646,4557,5019,5007,4498,3516,2192,647,-1002,-2544,-3846,-4788,-5289,-5303,-4829,-3939,-2707,
-1248,309,1819,3178,4219,4864,5058,4743,3933,2747,1251,-398,-2022,-3458,-4579,-5267,-5469,-5175,-4422,-3273,
-1848,-287,1296,2756,3924,4735,5105,4949,4307,3227,1809,187,-1472,-2991,-4251,-5100,-5476,-5353,-4751,-3713,
-2380,-844,762,2272,3569,4522,5051,5085,4615,3690,2376,797,-851,-2460,-3842,-4863,-5426,-5508,-5067,-4178,
-2932,-1434,184,1770,3189,4298,5013,5231,4942,4155,2929,1419,-242,-1918,-3399,-4546,-5269,-5510,-5227,-4478,
-3324,-1889,-284,1325,2808,4045,4896,5292,5195,4585,3511,2103,464,-1225,-2809,-4096,-5004,-5438,-5356,-4774,
-3775,-2430,-880,739,2297,3647,4642,5224,5294,4844,3904,2579,983,-717,-2370,-3792,-4852,-5449,-5543,-5146,
-4279,-3018,-1529,82,1687,3107,4224,4953,5201,4925,4174,2988,1494,-186,-1836,-3338,-4525,-5279,-5537,-5304,
-4576,-3446,-2031,-436,1191,2702,3965,4857,5310,5227,4657,3617,2204,581,-1103,-2688,-3996,-4898,-5344,-5266,
-4700,-3692,-2349,-800,823,2377,3714,4738,5313,5407,4995,4099,2801,1254,-425,-2047,-3460,-4512,-5119,-5228,
-4827,-3977,-2765,-1270,319,1887,3332,4484,5227,5514,5292,4567,3407,1935,289,-1377,-2873,-4057,-4830,-5103,
-4868,-4165,-3045,-1626,-49,1560,3062,4309,5189,5618,5555,4986,3965,2597,999,-666,-2210,-3525,-4446,-4897,
-4853,-4324,-3355,-2055,-543,1047,2584,3916,4933,5534,5657,5260,4411,3147,1605,-47,-1660,-3097,-4180,-4815,
-4967,-4625,-3817,-2640,-1194,364,1931,3345,4474,5226,5496,5278,4573,3444,1985,361,-1284,-2786,-3992,-4793,
-5132,-4960,-4333,-3299,-1970,-455,1100,2550,3791,4695,5150,5140,4629,3659,2320,753,-903,-2476,-3820,-4784,
-5309,-5335,-4880,-3993,-2756,-1279,274,1798,3136,4171,4803,4955,4628,3819,2615,1130,-498,-2098,-3509,-4617,
-5301,-5497,-5214,-4482,-3365,-1979,-446,1076,2484,3635,4431,4783,4664,4043,3018,1643,64,-1549,-3037,-4280,
-5128,-5511,-5414,-4853,-3870,-2586,-1102,447,1919,3186,4136,4669,4716,4293,3408,2150,640,-957,-2506,-3847,
-4837,-5386,-5457,-5046,-4206,-3014,-1597,-52,1449,2798,3878,4575,4814,4592,3897,2795,1386,-167,-1742,-3163,
-4294,-5016,-5287,-5065,-4390,-3324,-1974,-450,1093,2535,3747,4610,5036,4994,4476,3519,2198,680,-910,-2412,
-3665,-4562,-5018,-4971,-4459,-3549,-2291,-835,702,2185,3491,4482,5085,5227,4887,4083,2894,1429,-173,-1722,
-3100,-4157,-4795,-4958,-4641,-3886,-2760,-1371,148,1679,3078,4214,4980,5322,5154,4523,3469,2081,504,-1100,
-2578,-3779,-4598,-4940,-4798,-4194,-3184,-1873,-382,1179,2636,3888,4824,5332,5351,4903,4004,2725,1201,-407,
-1945,-3282,-4261,-4795,-4865,-4437,-3594,-2411,-971,581,2098,3452,4537,5218,5435,5163,4416,3249,1790,175,
-1439,-2879,-4018,-4747,-4994,-4744,-4059,-2981,-1609,-87,1455,2887,4078,4916,5310,5222,4653,3630,2270,687,
-958,-2474,-3733,-4641,-5056,-4999,-4477,-3534,-2259,-774,785,2281,3600,4587,5173,5275,4871,4010,2766,1234,
-399,-1978,-3382,-4431,-5045,-5173,-4801,-3992,-2803,-1367,201,1754,3155,4277,5025,5297,5075,4374,3244,1795,
176,-1455,-2928,-4114,-4892,-5189,-5004,-4341,-3282,-1934,-397,1186,2656,3902,4798,5253,5208,4675,3677,2325,
739,-912,-2482,-3810,-4754,-5244,-5226,-4714,-3786,-2508,-992,597,2140,3489,4519,5129,5256,4877,4025,2766,
1240,-421,-2045,-3466,-4547,-5206,-5360,-5023,-4226,-3056,-1612,-28,1544,2982,4156,4923,5247,5054,4364,3250,
1817,172,-1486,-2997,-4217,-5038,-5375,-5209,-4559,-3507,-2131,-566,1050,2571,3854,4782,5280,5269,4744,3768,
2420,831,-842,-2433,-3765,-4738,-5236,-5241,-4758,-3830,-2557,-1057,550,2105,3464,4532,5180,5351,5020,4202,
2983,1471,-179,-1808,-3268,-4380,-5075,-5275,-4971,-4193,-3035,-1603,-7,1594,3051,4243,5065,5410,5258,4609,
3517,2074,459,-1213,-2742,-3986,-4828,-5200,-5054,-4440,-3407,-2062,-516,1077,2584,3875,4831,5340,5373,4900,
3957,2654,1095,-565,-2155,-3510,-4511,-5071,-5125,-4682,-3796,-2561,-1077,503,2057,3436,4508,5185,5390,5081,
4292,3104,1596,-59,-1701,-3162,-4309,-5026,-5263,-4987,-4264,-3134,-1732,-180,1379,2826,3995,4812,5172,5044,
4419,3368,1974,374,-1268,-2783,-4056,-4923,-5329,-5256,-4690,-3702,-2402,-893,684,2189,3479,4439,4991,5055,
4615,3726,2437,904,-731,-2327,-3699,-4712,-5293,-5383,-4956,-4111,-2905,-1459,107,1639,3007,4085,4782,5015,
4758,4021,2881,1439,-159,-1776,-3217,-4360,-5097,-5374,-5141,-4454,-3380,-2020,-481,1064,2516,3729,4583,5003,
4954,4404,3417,2088,524,-1102,-2630,-3899,-4789,-5233,-5184,-4661,-3713,-2435,-954,599,2117,3430,4426,5023,
5156,4783,3956,2740,1260,-347,-1914,-3275,-4315,-4923,-5066,-4723,-3936,-2786,-1400,141,1671,3055,4175,4933,
5258,5088,4439,3379,1985,413,-1195,-2672,-3863,-4660,-4995,-4840,-4208,-3198,-1879,-384,1163,2625,3850,4745,
5226,5230,4751,3832,2537,1003,-586,-2132,-3422,-4371,-4876,-4915,-4471,-3614,-2414,-990,552,2032,3364,4387,
5039,5229,4945,4176,3018,1583,-4,-1591,-3002,-4107,-4801,-5033,-4784,-4069,-2996,-1644,-145,1374,2789,3947,
4743,5128,5018,4428,3395,2043,497,-1110,-2595,-3813,-4668,-5059,-4984,-4444,-3496,-2222,-774,761,2218,3484,
4432,4982,5062,4663,3806,2588,1098,-495,-2041,-3395,-4415,-4994,-5121,-4760,-3949,-2796,-1386,141,1673,3039,
4128,4845,5113,4882,4182,3071,1650,75,-1520,-2975,-4123,-4880,-5170,-4980,-4325,-3281,-1955,-452,1098,2532,
3746,4619,5058,5031,4522,3557,2243,708,-902,-2426,-3717,-4637,-5110,-5109,-4624,-3715,-2475,-1000,547,2069,
3402,4418,5044,5213,4880,4066,2853,1372,-248,-1845,-3256,-4329,-4987,-5156,-4843,-4079,-2935,-1528,10,1564,
2977,4129,4904,5231,5070,4428,3344,1950,361,-1263,-2759,-3991,-4823,-5186,-5072,-4477,-3474,-2159,-644,908,
2400,3671,4613,5132,5161,4688,3767,2451,902,-745,-2321,-3671,-4665,-5208,-5257,-4832,-3956,-2728,-1254,306,
1844,3203,4285,4945,5153,4867,4107,2920,1452,-173,-1791,-3245,-4379,-5089,-5325,-5080,-4350,-3246,-1852,-309,
1255,2712,3917,4756,5135,5047,4441,3393,2002,406,-1246,-2779,-4045,-4927,-5341,-5258,-4696,-3713,-2389,-858,
723,2251,3556,4531,5083,5148,4716,3821,2527,993,-654,-2229,-3603,-4636,-5216,-5301,-4901,-4055,-2840,-1380,
201,1748,3150,4267,4985,5248,4999,4264,3116,1643,1,-1627,-3103,-4277,-5019,-5289,-5046,-4355,-3251,-1846,
-281,1310,2801,4026,4895,5305,5220,4648,3627,2241,646,-1003,-2544,-3826,-4737,-5171,-5115,-4572,-3598,-2303,
-788,808,2332,3660,4684,5270,5374,4991,4122,2857,1319,-331,-1936,-3343,-4403,-5016,-5146,-4767,-3958,-2765,
-1303,294,1852,3281,4420,5176,5438,5217,4519,3368,1909,283,-1361,-2848,-4042,-4826,-5134,-4925,-4270,-3187,
-1819,-270,1299,2783,4026,4915,5362,5322,4788,3796,2450,867,-786,-2342,-3661,-4620,-5094,-5089,-4590,-3679,
-2398,-898,689,2218,3576,4597,5223,5342,4977,4139,2899,1370,-261,-1877,-3296,-4382,-5039,-5200,-4879,-4101,
-2944,-1525,25,1583,2978,4127,4898,5199,5018,4356,3264,1847,234,-1395,-2896,-4119,-4938,-5296,-5156,-4535,
-3518,-2189,-662,898,2378,3638,4549,5031,5014,4534,3580,2268,708,-918,-2485,-3800,-4769,-5289,-5318,-4859,
-3979,-2732,-1273,286,1796,3139,4181,4822,4994,4686,3905,2727,1266,-348,-1936,-3347,-4456,-5143,-5349,-5079,
-4359,-3261,-1871,-342,1200,2622,3800,4606,4969,4832,4234,3189,1819,235,-1371,-2880,-4117,-4966,-5359,-5256,
-4679,-3701,-2403,-918,634,2110,3367,4302,4841,4891,4465,3589,2344,835,-777,-2321,-3662,-4662,-5222,-5309,
-4906,-4081,-2903,-1476,71,1591,2950,4048,4745,4986,4745,4036,2908,1489,-97,-1688,-3123,-4269,-5010,-5275,
-5051,-4367,-3316,-1956,-440,1107,2537,3748,4594,5018,4959,4426,3450,2130,594,-1006,-2517,-3777,-4678,-5132,
-5096,-4590,-3677,-2432,-981,576,2058,3366,4369,4970,5102,4750,3936,2747,1276,-334,-1897,-3276,-4330,-4968,
-5125,-4794,-4019,-2882,-1478,49,1581,2963,4074,4843,5158,4978,4338,3281,1903,336,-1259,-2719,-3896,-4694,
-5030,-4892,-4289,-3287,-1988,-503,1050,2498,3746,4670,5174,5191,4725,3814,2539,1018,-588,-2116,-3434,-4393,
-4918,-4964,-4529,-3668,-2464,-1015,528,2050,3382,4436,5096,5304,5010,4267,3106,1653,63,-1524,-2941,-4040,
-4743,-4965,-4702,-3984,-2906,-1541,-24,1516,2933,4103,4929,5309,5206,4618,3598,2249,686,-934,-2432,-3677,
-4544,-4970,-4887,-4340,-3385,-2105,-602,944,2448,3724,4686,5247,5318,4895,4019,2759,1238,-385,-1952,-3315,
-4317,-4899,-5001,-4614,-3792,-2611,-1194,351,1889,3259,4352,5074,5327,5097,4373,3247,1807,206,-1409,-2865,
-4043,-4791,-5088,-4884,-4223,-3177,-1810,-276,1285,2748,3964,4831,5259,5202,4648,3655,2307,740,-903,-2442,
-3737,-4651,-5123,-5093,-4583,-3654,-2387,-910,663,2178,3499,4502,5104,5225,4860,4007,2782,1284,-353,-1950,
-3340,-4418,-5050,-5217,-4885,-4096,-2943,-1524,39,1591,3010,4155,4926,5234,5049,4362,3261,1838,226,-1419,
-2911,-4122,-4923,-5262,-5085,-4457,-3414,-2065,-544,1027,2518,3760,4665,5143,5133,4620,3665,2344,790,-854,
-2413,-3731,-4690,-5213,-5240,-4784,-3876,-2629,-1158,426,1966,3328,4362,5012,5183,4854,4049,2843,1341,-289,
-1905,-3337,-4446,-5109,-5318,-5010,-4244,-3096,-1697,-130,1435,2874,4033,4829,5165,5005,4372,3286,1880,304,
-1341,-2848,-4073,-4904,-5279,-5159,-4555,-3541,-2216,-702,879,2365,3647,4580,5093,5129,4666,3740,2451,904,
-743,-2318,-3663,-4647,-5188,-5249,-4805,-3920,-2680,-1211,358,1901,3284,4333,5006,5207,4905,4130,2946,1475,
-138,-1751,-3186,-4313,-5020,-5249,-4991,-4267,-3155,-1760,-223,1349,2782,3980,4793,5169,5070,4458,3416,2039,
452,-1180,-2710,-3977,-4846,-5250,-5163,-4598,-3611,-2303,-798,776,2272,3564,4524,5075,5138,4704,3810,2528,
1003,-621,-2190,-3561,-4570,-5146,-5231,-4847,-4002,-2814,-1371,178,1720,3085,4178,4874,5118,4884,4162,3014,
1582,-17,-1628,-3087,-4247,-4989,-5268,-5056,-4379,-3306,-1946,-407,1146,2595,3803,4657,5075,5016,4466,3468,
2121,566,-1054,-2579,-3838,-4727,-5178,-5136,-4616,-3699,-2416,-958,597,2095,3390,4388,4976,5094,4728,3908,
2701,1229,-382,-1934,-3319,-4365,-4983,-5128,-4788,-3997,-2850,-1452,88,1616,3003,4129,4869,5175,4981,4326,
3250,1852,285,-1310,-2775,-3940,-4713,-5036,-4868,-4256,-3229,-1915,-431,1108,2561,3776,4677,5132,5128,4651,
3719,2434,925,-665,-2182,-3488,-4425,-4926,-4955,-4521,-3637,-2433,-998,532,2022,3355,4381,5023,5201,4894,
4124,2960,1494,-81,-1642,-3048,-4131,-4812,-5010,-4738,-4012,-2916,-1549,-45,1470,2873,4014,4804,5149,5021,
4429,3407,2057,522,-1082,-2540,-3767,-4614,-4994,-4906,-4359,-3393,-2121,-648,878,2342,3611,4554,5080,5143,
4715,3846,2600,1102,-496,-2036,-3369,-4366,-4932,-5020,-4635,-3820,-2649,-1219,302,1804,3159,4235,4924,5152,
4909,4205,3093,1677,114,-1464,-2892,-4021,-4766,-5039,-4833,-4171,-3122,-1798,-288,1240,2668,3863,4722,5146,
5095,4567,3605,2281,744,-854,-2362,-3641,-4527,-4983,-4957,-4457,-3549,-2299,-835,714,2199,3504,4489,5080,
5205,4842,4021,2817,1345,-239,-1802,-3170,-4224,-4855,-5008,-4688,-3930,-2794,-1411,118,1622,3016,4139,4886,
5192,5025,4362,3295,1897,313,-1286,-2756,-3957,-4760,-5105,-4968,-4352,-3354,-2035,-540,1001,2447,3689,4590,
5066,5054,4570,3639,2345,807,-808,-2342,-3657,-4611,-5130,-5155,-4714,-3850,-2624,-1190,353,1855,3171,4216,
4862,5035,4739,3967,2789,1326,-274,-1864,-3280,-4386,-5071,-5291,-5017,-4290,-3192,-1809,-263,1270,2700,3874,
4672,5022,4884,4268,3223,1843,269,-1336,-2836,-4053,-4910,-5291,-5181,-4601,-3628,-2328,-832,727,2197,3474,
4431,4958,5013,4582,3691,2435,911,-705,-2255,-3600,-4606,-5156,-5246,-4822,-3989,-2784,-1332,237,1769,3150,
4238,4938,5177,4902,4164,3029,1585,-23,-1613,-3054,-4194,-4916,-5164,-4929,-4230,-3152,-1768,-240,1331,2774,
3976,4825,5237,5149,4592,3591,2234,679,-945,-2462,-3726,-4621,-5052,-4998,-4460,-3516,-2240,-748,820,2325,
3640,4632,5220,5316,4918,4058,2817,1308,-320,-1901,-3282,-4320,-4933,-5056,-4678,-3874,-2694,-1262,291,1830,
3212,4321,5049,5314,5103,4412,3301,1874,279,-1342,-2801,-3971,-4757,-5060,-4874,-4224,-3178,-1836,-304,1260,
2722,3958,4835,5287,5239,4706,3722,2403,841,-791,-2313,-3600,-4529,-5000,-4994,-4493,-3579,-2323,-837,714,
2221,3541,4552,5159,5294,4921,4115,2891,1420,-200,-1775,-3168,-4233,-4867,-5029,-4703,-3932,-2804,-1398,139,
1679,3068,4213,4976,5287,5115,4461,3382,1989,399,-1208,-2686,-3889,-4696,-5045,-4898,-4275,-3254,-1936,-426,
1126,2593,3822,4718,5200,5187,4696,3768,2469,952,-666,-2208,-3510,-4463,-4985,-5016,-4578,-3701,-2495,-1050,
496,2008,3333,4382,5012,5199,4889,4107,2937,1485,-125,-1708,-3120,-4219,-4914,-5130,-4859,-4124,-3033,-1654,
-132,1395,2804,3950,4739,5097,4964,4349,3318,1950,382,-1228,-2716,-3944,-4789,-5189,-5087,-4540,-3578,-2299,
-841,698,2159,3413,4353,4874,4934,4504,3617,2371,868,-741,-2282,-3625,-4638,-5209,-5310,-4917,-4088,-2912,
-1497,41,1544,2899,3956,4640,4884,4620,3904,2788,1360,-205,-1793,-3220,-4343,-5074,-5346,-5119,-4459,-3399,
-2083,-584,954,2369,3548,4400,4813,4757,4212,3252,1943,413,-1179,-2679,-3940,-4824,-5281,-5255,-4753,-3837,
-2598,-1144,395,1888,3170,4153,4733,4856,4491,3675,2484,1017,-565,-2112,-3469,-4503,-5116,-5261,-4924,-4160,
-3021,-1640,-133,1382,2754,3862,4619,4916,4750,4099,3041,1667,110,-1469,-2904,-4079,-4862,-5190,-5055,-4438,
-3427,-2133,-643,895,2347,3578,4468,4939,4949,4463,3546,2269,760,-834,-2362,-3643,-4579,-5082,-5110,-4658,
-3796,-2595,-1171,370,1858,3173,4193,4843,5014,4724,3957,2803,1371,-199,-1785,-3165,-4253,-4933,-5155,-4887,
-4179,-3090,-1741,-218,1307,2715,3876,4671,5029,4916,4313,3285,1929,376,-1216,-2706,-3921,-4764,-5156,-5061,
-4495,-3532,-2250,-789,750,2210,3480,4413,4953,5014,4602,3721,2489,993,-596,-2142,-3465,-4470,-5028,-5125,
-4745,-3917,-2740,-1328,224,1732,3101,4183,4878,5128,4899,4187,3067,1655,74,-1513,-2946,-4079,-4819,-5084,
-4869,-4201,-3127,-1785,-274,1273,2707,3908,4752,5181,5113,4577,3592,2267,734,-853,-2373,-3623,-4519,-4966,
-4940,-4431,-3515,-2255,-792,765,2255,3564,4561,5148,5267,4900,4072,2846,1375,-228,-1789,-3170,-4213,-4831,
-4968,-4626,-3832,-2681,-1266,262,1794,3184,4305,5041,5343,5142,4481,3391,1988,410,-1181,-2645,-3815,-4605,
-4927,-4771,-4148,-3120,-1790,-299,1258,2716,3949,4829,5286,5275,4780,3820,2517,986,-629,-2161,-3472,-4415,
-4918,-4943,-4480,-3584,-2356,-905,655,2149,3485,4510,5130,5289,4941,4150,2952,1473,-137,-1723,-3126,-4197,
-4873,-5062,-4772,-4033,-2908,-1527,-4,1532,2940,4091,4866,5195,5058,4419,3361,1977,400,-1218,-2718,-3945,
-4780,-5157,-5046,-4456,-3453,-2157,-646,911,2389,3650,4569,5061,5100,4628,3715,2416,880,-729,-2290,-3624,
-4607,-5148,-5200,-4785,-3927,-2724,-1272,272,1800,3153,4204,4867,5081,4785,4043,2868,1425,-181,-1777,-3199,
-4326,-5042,-5280,-5027,-4314,-3219,-1845,-302,1235,2665,3858,4678,5062,4954,4355,3344,1969,399,-1210,-2713,
-3964,-4824,-5235,-5142,-4593,-3623,-2328,-842,708,2201,3473,4431,4973,5046,4637,3774,2526,1035,-570,-2118,
-3480,-4487,-5067,-5170,-4792,-3964,-2786,-1359,190,1729,3097,4188,4886,5146,4911,4198,3078,1652,72,-1513,
-2943,-4092,-4829,-5105,-4888,-4222,-3169,-1820,-305,1236,2671,3884,4736,5151,5087,4544,3574,2254,723,-877,
-2377,-3645,-4550,-5006,-4961,-4464,-3548,-2295,-835,708,2191,3495,4490,5079,5206,4851,4015,2813,1340,-255,
-1815,-3183,-4231,-4848,-4995,-4655,-3891,-2748,-1340,183,1702,3089,4208,4936,5226,5034,4378,3312,1915,355,
-1229,-2673,-3852,-4641,-4970,-4814,-4216,-3199,-1890,-405,1137,2572,3803,4701,5159,5148,4673,3729,2449,913,
-684,-2204,-3503,-4446,-4952,-4986,-4531,-3669,-2457,-1021,510,1992,3323,4342,4962,5125,4810,4044,2872,1417,
-164,-1727,-3113,-4199,-4878,-5096,-4819,-4106,-3013,-1661,-153,1363,2757,3903,4694,5036,4910,4319,3286,1942,
380,-1211,-2691,-3900,-4757,-5153,-5053,-4512,-3547,-2280,-799,732,2184,3442,4369,4899,4939,4506,3630,2378,
887,-700,-2237,-3555,-4550,-5116,-5201,-4809,-3998,-2826,-1425,100,1603,2936,3994,4685,4925,4672,3964,2856,
1439,-136,-1700,-3114,-4257,-4995,-5250,-5052,-4384,-3329,-1993,-494,1040,2454,3653,4476,4888,4820,4271,3299,
1989,448,-1123,-2622,-3867,-4749,-5190,-5157,-4639,-3731,-2479,-1026,504,1980,3256,4236,4822,4932,4571,3753,
2561,1090,-501,-2044,-3392,-4427,-5040,-5172,-4841,-4068,-2929,-1527,-6,1509,2876,3993,4734,5023,4825,4171,
3102,1712,157,-1416,-2861,-4021,-4802,-5122,-4952,-4325,-3314,-1991,-495,1036,2479,3701,4578,5049,5034,4555,
3633,2356,851,-751,-2262,-3539,-4478,-4974,-4991,-4541,-3663,-2444,-1009,544,2046,3363,4400,5036,5208,4885,
4116,2945,1485,-105,-1661,-3049,-4122,-4782,-4977,-4685,-3955,-2860,-1480,41,1565,2966,4114,4897,5248,5115,
4506,3472,2112,557,-1048,-2523,-3732,-4572,-4947,-4843,-4275,-3296,-2009,-518,1036,2502,3754,4697,5216,5262,
4810,3919,2661,1156,-455,-1992,-3320,-4310,-4871,-4948,-4536,-3699,-2504,-1072,461,1978,3320,4373,5055,5273,
5002,4261,3118,1692,104,-1476,-2898,-4017,-4742,-4990,-4759,-4076,-3018,-1670,-152,1386,2806,3991,4817,5219,
5131,4560,3557,2218,659,-951,-2446,-3705,-4573,-5008,-4955,-4420,-3474,-2219,-741,801,2282,3556,4518,5072,
5159,4752,3892,2658,1166,-434,-2003,-3351,-4375,-4979,-5104,-4741,-3945,-2795,-1396,144,1658,3025,4120,4842,
5101,4876,4180,3076,1659,79,-1513,-2960,-4119,-4881,-5183,-4994,-4346,-3307,-1971,-449,1094,2541,3749,4605,
5038,4995,4455,3497,2174,635,-973,-2482,-3759,-4665,-5129,-5115,-4621,-3716,-2470,-1019,526,2021,3328,4337,
4936,5062,4707,3886,2688,1214,-390,-1960,-3343,-4403,-5036,-5198,-4883,-4111,-2977,-1576,-30,1494,2883,4006,
4749,5058,4877,4229,3158,1763,201,-1396,-2856,-4041,-4822,-5166,-5020,-4410,-3403,-2086,-596,952,2411,3636,
4547,5019,5020,4539,3607,2324,819,-773,-2304,-3597,-4547,-5064,-5101,-4657,-3778,-2564,-1130,422,1919,3247,
4275,4909,5089,4778,4004,2832,1397,-191,-1762,-3162,-4249,-4925,-5142,-4865,-4144,-3054,-1682,-185,1346,2747,
3889,4670,5035,4915,4312,3286,1936,397,-1193,-2674,-3881,-4732,-5120,-5033,-4474,-3507,-2232,-763,786,2237,
3500,4421,4944,4991,4572,3692,2454,960,-625,-2163,-3483,-4462,-5011,-5110,-4707,-3884,-2713,-1302,216,1720,
3057,4109,4790,5027,4783,4077,2944,1543,-15,-1594,-3001,-4121,-4841,-5091,-4880,-4211,-3159,-1822,-325,1206,
2608,3799,4624,5029,4950,4408,3421,2118,589,-990,-2480,-3724,-4588,-5018,-4982,-4454,-3528,-2282,-829,694,
2160,3447,4405,4976,5076,4711,3889,2691,1241,-333,-1872,-3202,-4222,-4836,-4958,-4622,-3854,-2716,-1325,186,
1701,3068,4170,4902,5185,4995,4344,3269,1894,339,-1228,-2664,-3820,-4586,-4893,-4728,-4109,-3087,-1778,-296,
1225,2662,3869,4733,5199,5183,4689,3760,2482,996,-586,-2090,-3364,-4279,-4778,-4802,-4359,-3492,-2284,-854,
670,2146,3454,4477,5092,5253,4935,4165,2992,1564,-26,-1569,-2963,-4036,-4705,-4891,-4636,-3913,-2823,-1468,
34,1534,2923,4055,4826,5160,5018,4404,3374,2014,471,-1103,-2563,-3768,-4589,-4972,-4880,-4333,-3367,-2098,
-646,874,2329,3558,4481,4984,5018,4588,3712,2460,974,-610,-2137,-3459,-4439,-5003,-5076,-4691,-3870,-2700,
-1289,223,1710,3044,4095,4759,4975,4718,3980,2857,1433,-128,-1684,-3097,-4197,-4916,-5174,-4956,-4291,-3246,
-1911,-424,1087,2492,3676,4494,4881,4801,4249,3273,1946,426,-1159,-2639,-3884,-4761,-5188,-5138,-4628,-3696,
-2446,-990,540,1999,3285,4253,4812,4919,4527,3699,2488,1024,-559,-2089,-3435,-4449,-5046,-5162,-4812,-4030,
-2892,-1490,31,1538,2903,3983,4724,4989,4795,4117,3047,1651,106,-1471,-2896,-4055,-4822,-5133,-4955,-4333,
-3298,-1977,-492,1045,2489,3704,4583,5021,5002,4484,3545,2245,722,-871,-2364,-3649,-4562,-5042,-5038,-4570,
-3682,-2461,-1021,510,1999,3314,4311,4918,5064,4729,3950,2762,1306,-275,-1831,-3206,-4283,-4933,-5115,-4822,
-4079,-2960,-1588,-63,1454,2835,3973,4740,5047,4900,4270,3215,1846,282,-1303,-2762,-3962,-4776,-5132,-5005,
-4419,-3440,-2143,-654,878,2318,3563,4471,4951,4968,4503,3602,2335,827,-752,-2281,-3591,-4554,-5091,-5138,
-4725,-3880,-2681,-1264,282,1773,3103,4145,4812,4995,4715,3960,2823,1379,-196,-1769,-3164,-4264,-4956,-5179,
-4923,-4211,-3136,-1773,-267,1255,2658,3822,4623,4985,4868,4277,3285,1942,406,-1176,-2644,-3869,-4722,-5115,
-5029,-4495,-3537,-2253,-791,749,2209,3473,4422,4961,5028,4623,3755,2521,1037,-549,-2078,-3405,-4408,-4962,
-5062,-4683,-3856,-2695,-1278,253,1746,3101,4179,4868,5099,4855,4139,3035,1630,62,-1502,-2921,-4043,-4781,
-5052,-4845,-4181,-3155,-1813,-329,1210,2614,3800,4648,5071,4999,4457,3495,2176,645,-938,-2436,-3679,-4583,
-5018,-4982,-4488,-3579,-2343,-887,653,2115,3404,4386,4960,5062,4697,3875,2679,1214,-368,-1906,-3260,-4286,
-4900,-5052,-4720,-3949,-2833,-1443,56,1584,2948,4042,4772,5067,4879,4229,3159,1783,227,-1346,-2782,-3948,
-4742,-5060,-4909,-4298,-3295,-1991,-518,1010,2441,3653,4541,4992,4976,4488,3574,2300,791,-787,-2281,-3560,
-4490,-4984,-5005,-4561,-3694,-2495,-1061,458,1939,3241,4261,4895,5055,4753,3991,2841,1414,-149,-1697,-3061,
-4128,-4797,-4999,-4715,-3999,-2908,-1557,-57,1460,2849,3994,4776,5116,4985,4383,3355,2023,479,-1077,-2534,
-3720,-4534,-4913,-4810,-4242,-3281,-2018,-552,968,2410,3642,4558,5061,5119,4691,3824,2600,1129,-459,-1966,
-3274,-4243,-4795,-4850,-4468,-3650,-2491,-1083,431,1920,3240,4295,4968,5185,4920,4193,3085,1688,119,-1428,
-2833,-3940,-4649,-4902,-4693,-4009,-2970,-1645,-157,1347,2752,3900,4725,5109,5031,4469,3501,2193,676,-902,
-2379,-3611,-4475,-4921,-4870,-4375,-3450,-2222,-795,730,2185,3449,4411,4965,5075,4687,3859,2652,1194,-390,
-1911,-3262,-4283,-4887,-5028,-4690,-3912,-2789,-1417,100,1597,2946,4020,4729,5010,4799,4121,3059,1683,142,
-1430,-2861,-4007,-4783,-5095,-4929,-4321,-3312,-2017,-541,977,2406,3607,4475,4926,4911,4405,3469,2186,698,
-889,-2384,-3650,-4578,-5060,-5072,-4623,-3738,-2538,-1108,423,1902,3199,4193,4806,4975,4645,3873,2717,1278,
-284,-1828,-3205,-4261,-4908,-5114,-4820,-4090,-2993,-1639,-134,1371,2759,3879,4665,4988,4852,4242,3206,1858,
328,-1253,-2705,-3896,-4717,-5078,-4977,-4403,-3421,-2149,-678,854,2300,3539,4442,4953,4983,4535,3646,2412,
920,-653,-2180,-3478,-4437,-4970,-5040,-4630,-3799,-2617,-1204,315,1804,3142,4176,4856,5065,4798,4073,2936,
1520,-47,-1611,-3010,-4109,-4818,-5061,-4827,-4139,-3057,-1726,-221,1305,2715,3883,4676,5072,4980,4400,3390,
2078,552,-1032,-2520,-3749,-4598,-5010,-4952,-4414,-3482,-2221,-768,760,2226,3496,4446,5001,5077,4685,3821,
2609,1127,-448,-1993,-3326,-4330,-4923,-5031,-4669,-3885,-2715,-1319,203,1713,3071,4151,4850,5110,4887,4186,
3092,1699,136,-1433,-2869,-3994,-4743,-5025,-4841,-4188,-3158,-1829,-344,1183,2603,3815,4649,5089,5039,4526,
3563,2263,744,-828,-2338,-3591,-4493,-4967,-4945,-4472,-3561,-2326,-881,656,2136,3431,4417,5006,5128,4778,
3969,2776,1324,-253,-1792,-3160,-4206,-4830,-4994,-4677,-3930,-2807,-1423,81,1598,2964,4076,4808,5124,4937,
4289,3225,1852,303,-1265,-2716,-3893,-4681,-5018,-4882,-4290,-3293,-2002,-532,998,2435,3653,4545,5008,5011,
4527,3607,2329,837,-749,-2283,-3571,-4518,-5012,-5054,-4612,-3741,-2549,-1123,399,1860,3179,4190,4815,4983,
4675,3912,2769,1322,-239,-1787,-3172,-4254,-4936,-5140,-4881,-4168,-3089,-1722,-226,1296,2679,3818,4598,4936,
4813,4214,3182,1837,302,-1269,-2728,-3941,-4768,-5149,-5052,-4496,-3525,-2259,-790,729,2177,3418,4338,4850,
4904,4479,3606,2363,886,-677,-2190,-3515,-4477,-5021,-5107,-4724,-3889,-2725,-1324,192,1698,3039,4102,4765,
4993,4744,4040,2929,1525,-20,-1582,-2975,-4093,-4810,-5059,-4840,-4169,-3111,-1777,-287,1234,2645,3821,4643,
5040,4970,4419,3448,2136,625,-941,-2409,-3654,-4517,-4942,-4902,-4396,-3488,-2244,-799,721,2187,3463,4439,
5010,5103,4734,3924,2716,1270,-303,-1837,-3176,-4198,-4809,-4938,-4604,-3825,-2696,-1315,192,1685,3043,4132,
4858,5127,4933,4274,3206,1833,277,-1274,-2697,-3858,-4620,-4926,-4768,-4159,-3157,-1857,-381,1133,2559,3759,
4620,5074,5047,4551,3631,2349,861,-719,-2215,-3485,-4414,-4912,-4915,-4469,-3607,-2398,-979,540,2004,3303,
4305,4919,5065,4753,3976,2807,1374,-199,-1740,-3111,-4175,-4817,-5006,-4725,-4012,-2930,-1571,-77,1419,2798,
3919,4689,5015,4870,4271,3243,1896,361,-1196,-2646,-3844,-4676,-5036,-4922,-4361,-3391,-2122,-661,863,2299,
3537,4447,4958,4985,4543,3670,2423,947,-628,-2134,-3442,-4404,-4942,-5006,-4613,-3782,-2614,-1202,312,1795,
3127,4174,4846,5049,4782,4062,2949,1532,-18,-1572,-2971,-4077,-4794,-5044,-4826,-4146,-3085,-1755,-256,1257,
2662,3832,4651,5037,4954,4396,3409,2090,551,-1029,-2501,-3726,-4608,-5025,-4974,-4450,-3531,-2285,-830,700,
2152,3425,4381,4924,5018,4627,3790,2584,1113,-458,-1997,-3335,-4356,-4952,-5089,-4736,-3966,-2818,-1430,86,
1586,2943,4027,4745,5011,4798,4121,3027,1643,78,-1495,-2930,-4085,-4835,-5148,-4967,-4331,-3318,-2004,-510,
1007,2434,3634,4504,4938,4902,4390,3432,2152,630,-945,-2448,-3709,-4631,-5122,-5114,-4647,-3760,-2538,-1095,
436,1912,3210,4210,4815,4961,4620,3830,2657,1201,-373,-1927,-3290,-4352,-4986,-5158,-4856,-4094,-2988,-1612,
-88,1426,2802,3934,4693,5003,4837,4204,3157,1797,252,-1323,-2772,-3947,-4748,-5106,-4966,-4378,-3388,-2083,
-607,923,2362,3598,4505,4988,5007,4551,3645,2386,885,-708,-2224,-3520,-4473,-4994,-5028,-4595,-3736,-2533,
-1104,431,1926,3252,4293,4928,5125,4824,4067,2923,1496,-80,-1625,-3013,-4103,-4785,-5000,-4744,-4033,-2953,
-1588,-86,1448,2847,3996,4796,5150,5026,4442,3433,2089,546,-1042,-2513,-3722,-4566,-4964,-4872,-4325,-3370,
-2099,-639,896,2355,3606,4545,5071,5126,4701,3828,2590,1103,-479,-2004,-3329,-4315,-4872,-4970,-4596,-3774,
-2621,-1209,308,1800,3133,4204,4883,5118,4870,4160,3053,1648,81,-1489,-2909,-4025,-4767,-5039,-4830,-4167,
-3125,-1799,-301,1227,2642,3807,4649,5042,4975,4429,3447,2139,619,-971,-2452,-3693,-4576,-5018,-4987,-4485,
-3573,-2336,-898,626,2099,3375,4339,4911,5022,4643,3830,2635,1185,-390,-1932,-3282,-4300,-4919,-5054,-4717,
-3945,-2819,-1439,69,1576,2935,4034,4759,5044,4855,4185,3112,1741,198,-1373,-2795,-3953,-4717,-5033,-4875,
-4265,-3244,-1949,-464,1047,2472,3668,4536,4986,4968,4478,3560,2283,793,-780,-2277,-3547,-4465,-4957,-4980,
-4532,-3661,-2456,-1034,482,1965,3263,4266,4892,5045,4735,3945,2785,1357,-198,-1743,-3102,-4166,-4823,-5011,
-4737,-4010,-2926,-1569,-73,1434,2809,3932,4698,5030,4896,4282,3268,1931,408,-1164,-2618,-3808,-4624,-4995,
-4883,-4316,-3358,-2099,-635,880,2318,3549,4467,4978,5008,4579,3697,2460,986,-584,-2102,-3391,-4370,-4905,
-4983,-4579,-3762,-2594,-1188,329,1808,3136,4183,4840,5059,4798,4071,2969,1561,20,-1539,-2924,-4028,-4730,
-4989,-4763,-4093,-3041,-1724,-251,1274,2674,3845,4658,5058,4969,4430,3453,2144,629,-935,-2423,-3640,-4505,
-4924,-4888,-4378,-3460,-2218,-776,745,2197,3470,4425,4981,5079,4705,3872,2679,1222,-339,-1868,-3197,-4213,
-4805,-4937,-4596,-3824,-2694,-1322,179,1671,3023,4108,4827,5097,4899,4226,3162,1781,239,-1320,-2752,-3897,
-4669,-4975,-4817,-4198,-3194,-1891,-418,1095,2510,3709,4574,5005,4979,4485,3549,2273,775,-809,-2300,-3576,
-4490,-4969,-4985,-4530,-3656,-2454,-1034,474,1944,3243,4233,4830,4994,4658,3885,2718,1277,-287,-1829,-3209,
-4267,-4929,-5113,-4836,-4106,-3013,-1656,-150,1353,2732,3859,4620,4932,4784,4160,3117,1762,226,-1346,-2800,
-3988,-4802,-5166,-5051,-4478,-3507,-2224,-759,757,2188,3431,4335,4826,4862,4408,3525,2277,782,-798,-2311,
-3617,-4574,-5112,-5168,-4753,-3924,-2736,-1314,205,1707,3037,4091,4744,4949,4667,3942,2803,1392,-174,-1727,
-3127,-4223,-4914,-5146,-4910,-4208,-3137,-1790,-283,1236,2643,3805,4612,4997,4902,4334,3343,2015,486,-1089,
-2564,-3779,-4642,-5051,-4977,-4450,-3505,-2252,-787,745,2221,3488,4445,4996,5072,4672,3820,2599,1132,-448,
-1985,-3319,-4320,-4901,-4999,-4632,-3831,-2676,-1267,253,1754,3104,4186,4886,5138,4911,4229,3137,1737,183,
-1388,-2808,-3944,-4689,-4975,-4783,-4136,-3100,-1772,-277,1249,2677,3880,4734,5153,5097,4567,3609,2303,790,
-791,-2285,-3544,-4444,-4897,-4875,-4389,-3481,-2241,-793,728,2199,3492,4477,5057,5183,4822,4016,2821,1367,
-208,-1744,-3103,-4143,-4759,-4920,-4594,-3840,-2726,-1340,165,1671,3046,4155,4895,5193,5012,4365,3305,1927,
386,-1197,-2643,-3812,-4596,-4925,-4781,-4175,-3164,-1873,-385,1135,2570,3776,4661,5118,5111,4627,3709,2432,
934,-650,-2148,-3433,-4363,-4874,-4901,-4464,-3612,-2415,-992,532,2015,3322,4337,4963,5130,4819,4046,2899,
1459,-103,-1658,-3035,-4112,-4796,-4997,-4730,-4014,-2934,-1577,-78,1432,2808,3948,4722,5059,4929,4317,3300,
1951,407,-1169,-2629,-3834,-4664,-5045,-4948,-4399,-3452,-2181,-729,789,2226,3467,4382,4902,4938,4505,3629,
2395,911,-664,-2192,-3506,-4495,-5052,-5137,-4745,-3934,-2765,-1361,152,1637,2968,4013,4676,4894,4635,3912,
2800,1394,-163,-1717,-3115,-4229,-4942,-5202,-4984,-4324,-3280,-1964,-476,1030,2427,3589,4418,4809,4733,4183,
3216,1911,400,-1171,-2646,-3882,-4756,-5196,-5148,-4646,-3738,-2496,-1060,463,1915,3184,4141,4708,4801,4433,
3611,2420,969,-598,-2121,-3454,-4473,-5068,-5197,-4860,-4095,-2965,-1590,-94,1401,2755,3840,4564,4847,4650,
3990,2933,1573,34,-1515,-2933,-4085,-4852,-5161,-5005,-4386,-3381,-2083,-606,917,2341,3543,4408,4863,4845,
4357,3434,2160,663,-904,-2394,-3655,-4567,-5046,-5060,-4602,-3736,-2541,-1120,404,1868,3162,4166,4790,4945,
4636,3866,2721,1297,-258,-1804,-3164,-4217,-4872,-5075,-4792,-4073,-2983,-1629,-131,1377,2757,3887,4664,4996,
4860,4252,3228,1889,362,-1208,-2659,-3839,-4664,-5024,-4914,-4343,-3381,-2108,-652,868,2302,3552,4457,4967,
5009,4575,3698,2468,993,-575,-2081,-3377,-4344,-4889,-4962,-4565,-3742,-2575,-1167,360,1855,3181,4233,4900,
5128,4866,4153,3041,1633,77,-1475,-2877,-3979,-4692,-4936,-4704,-4036,-2975,-1640,-150,1371,2772,3943,4765,
5155,5074,4521,3539,2227,710,-854,-2330,-3560,-4425,-4857,-4811,-4292,-3376,-2132,-681,843,2312,3582,4543,
5102,5201,4814,3985,2771,1314,-264,-1796,-3142,-4154,-4757,-4877,-4524,-3741,-2603,-1210,301,1808,3164,4254,
4969,5238,5028,4348,3266,1882,328,-1238,-2667,-3813,-4576,-4879,-4712,-4084,-3070,-1758,-270,1249,2681,3876,
4733,5174,5139,4629,3685,2387,881,-705,-2211,-3482,-4396,-4880,-4884,-4417,-3530,-2312,-882,650,2129,3424,
4421,5017,5151,4808,4010,2817,1374,-213,-1764,-3132,-4179,-4827,-5005,-4711,-3969,-2856,-1493,17,1526,2899,
4024,4780,5092,4934,4292,3251,1883,333,-1255,-2719,-3909,-4716,-5074,-4946,-4360,-3368,-2082,-600,931,2381,
3606,4508,4984,5004,4536,3623,2349,846,-742,-2265,-3561,-4521,-5041,-5090,-4673,-3817,-2627,-1195,325,1819,
3147,4174,4815,5008,4715,3967,2817,1389,-182,-1750,-3145,-4239,-4932,-5160,-4901,-4203,-3117,-1766,-250,1267,
2673,3833,4635,5001,4884,4289,3276,1929,390,-1194,-2670,-3890,-4737,-5129,-5044,-4493,-3536,-2262,-799,727,
2195,3448,4381,4907,4974,4559,3698,2468,989,-591,-2121,-3453,-4442,-5008,-5113,-4727,-3910,-2748,-1336,185,
1694,3042,4107,4793,5035,4792,4082,2969,1565,3,-1564,-2971,-4099,-4825,-5096,-4884,-4226,-3179,-1843,-349,
1172,2585,3772,4605,5005,4939,4397,3424,2122,605,-970,-2457,-3703,-4588,-5028,-4989,-4491,-3576,-2339,-894,
625,2098,3383,4353,4932,5043,4681,3853,2655,1197,-372,-1911,-3259,-4287,-4893,-5036,-4700,-3935,-2797,-1414,
97,1603,2971,4067,4779,5066,4868,4211,3145,1769,227,-1336,-2765,-3925,-4695,-5018,-4859,-4250,-3248,-1943,
-473,1053,2474,3691,4565,5017,5002,4515,3579,2309,799,-774,-2281,-3556,-4479,-4972,-4993,-4541,-3680,-2472,
-1048,474,1946,3253,4262,4867,5022,4704,3934,2773,1337,-222,-1766,-3141,-4204,-4866,-5070,-4789,-4071,-2981,
-1633,-137,1369,2749,3881,4649,4986,4851,4250,3226,1884,348,-1222,-2680,-3872,-4706,-5088,-4981,-4430,-3465,
-2200,-729,790,2230,3470,4380,4891,4921,4488,3604,2365,893,-678,-2193,-3498,-4465,-5016,-5093,-4696,-3878,
-2715,-1315,192,1683,3003,4047,4722,4944,4680,3968,2856,1453,-101,-1652,-3052,-4163,-4881,-5128,-4917,-4248,
-3197,-1867,-379,1139,2543,3715,4526,4920,4834,4284,3310,2002,485,-1077,-2555,-3784,-4649,-5072,-5034,-4516,
-3599,-2356,-915,609,2064,3329,4289,4848,4953,4575,3751,2558,1097,-471,-1996,-3331,-4343,-4941,-5066,-4726,
-3952,-2820,-1429,80,1579,2932,4026,4745,5014,4811,4149,3079,1697,156,-1400,-2827,-3969,-4731,-5035,-4865,
-4238,-3226,-1915,-429,1083,2505,3708,4572,5015,4997,4503,3576,2301,805,-775,-2268,-3533,-4448,-4930,-4936,
-4480,-3605,-2391,-960,568,2051,3347,4365,4977,5130,4800,4029,2858,1413,-157,-1694,-3063,-4122,-4767,-4948,
-4653,-3924,-2825,-1456,49,1554,2933,4064,4831,5160,5017,4401,3369,2016,477,-1103,-2558,-3746,-4562,-4927,
-4809,-4240,-3264,-1988,-508,1024,2471,3707,4628,5125,5156,4702,3814,2562,1067,-520,-2031,-3337,-4310,-4853,
-4915,-4501,-3667,-2475,-1057,465,1957,3283,4322,4986,5187,4911,4172,3041,1623,55,-1504,-2904,-4007,-4708,
-4945,-4707,-4025,-2965,-1625,-122,1396,2807,3968,4783,5164,5063,4490,3492,2160,624,-965,-2440,-3672,-4528,
-4944,-4880,-4344,-3403,-2148,-685,840,2302,3560,4503,5043,5121,4716,3857,2634,1157,-426,-1968,-3297,-4305,
-4890,-5001,-4635,-3841,-2698,-1306,215,1716,3070,4150,4851,5100,4864,4168,3073,1665,105,-1465,-2892,-4032,
-4779,-5069,-4874,-4225,-3196,-1867,-363,1164,2590,3780,4622,5040,4988,4452,3495,2188,662,-926,-2416,-3672,
-4567,-5019,-5005,-4510,-3610,-2379,-938,595,2068,3363,4352,4941,5056,4694,3876,2689,1225,-358,-1910,-3276,
-4316,-4945,-5100,-4779,-4017,-2891,-1500,26,1533,2902,4009,4742,5041,4855,4207,3139,1760,209,-1370,-2815,
-3985,-4761,-5098,-4947,-4341,-3341,-2038,-556,975,2416,3633,4524,4988,4979,4496,3570,2297,798,-779,-2293,
-3572,-4512,-5023,-5053,-4608,-3739,-2531,-1107,428,1917,3224,4243,4868,5037,4723,3950,2787,1361,-212,-1767,
-3153,-4227,-4893,-5104,-4827,-4109,-3026,-1665,-174,1342,2731,3863,4637,4990,4861,4256,3234,1894,361,-1213,
-2680,-3874,-4715,-5095,-5003,-4447,-3482,-2214,-749,782,2226,3474,4387,4900,4941,4515,3639,2404,918,-657,
-2175,-3484,-4454,-4998,-5086,-4688,-3865,-2698,-1296,216,1708,3033,4080,4749,4977,4721,4015,2890,1496,-57,
-1617,-3014,-4124,-4834,-5082,-4867,-4196,-3150,-1818,-327,1189,2585,3760,4578,4973,4887,4343,3362,2060,540,
-1032,-2507,-3737,-4597,-5022,-4976,-4454,-3530,-2291,-846,666,2128,3397,4351,4912,5007,4634,3810,2615,1170,
-395,-1920,-3241,-4253,-4856,-4977,-4639,-3870,-2736,-1351,153,1658,3014,4101,4826,5100,4903,4249,3176,1807,
262,-1295,-2717,-3861,-4619,-4922,-4751,-4130,-3112,-1809,-335,1181,2604,3800,4657,5112,5090,4593,3667,2393,
913,-656,-2149,-3412,-4317,-4808,-4823,-4374,-3506,-2303,-877,637,2107,3403,4413,5020,5174,4852,4081,2913,
1493,-86,-1617,-2996,-4056,-4717,-4900,-4631,-3907,-2815,-1467,26,1523,2903,4023,4787,5111,4966,4349,3319,
1969,436,-1129,-2575,-3766,-4577,-4951,-4854,-4300,-3333,-2069,-619,892,2339,3562,4471,4968,4995,4560,3682,
2436,960,-617,-2132,-3440,-4408,-4963,-5032,-4639,-3816,-2647,-1244,261,1741,3066,4106,4763,4969,4707,3968,
2846,1429,-123,-1671,-3067,-4161,-4871,-5121,-4899,-4231,-3184,-1856,-373,1130,2529,3699,4505,4885,4798,4239,
3262,1941,428,-1145,-2619,-3851,-4717,-5138,-5082,-4569,-3638,-2394,-945,576,2027,3301,4257,4809,4907,4509,
3678,2468,1010,-565,-2084,-3418,-4422,-5011,-5126,-4772,-3987,-2851,-1460,53,1551,2904,3975,4702,4962,4760,
4080,3012,1622,80,-1483,-2903,-4051,-4807,-5111,-4929,-4304,-3273,-1958,-475,1050,2483,3687,4549,4982,4955,
4436,3497,2202,688,-895,-2378,-3648,-4552,-5025,-5018,-4546,-3662,-2441,-1010,516,1993,3297,4288,4883,5023,
4687,3903,2721,1271,-298,-1843,-3211,-4273,-4915,-5091,-4796,-4051,-2936,-1568,-52,1457,2829,3958,4717,5021,
4867,4235,3181,1820,266,-1307,-2757,-3946,-4750,-5101,-4971,-4385,-3406,-2112,-630,896,2329,3562,4464,4937,
4949,4484,3582,2320,820,-750,-2270,-3570,-4522,-5051,-5096,-4681,-3834,-2640,-1225,309,1795,3120,4151,4809,
4989,4705,3950,2814,1377,-189,-1751,-3136,-4228,-4915,-5132,-4876,-4163,-3092,-1733,-232,1283,2678,3832,4628,
4983,4866,4274,3282,1945,415,-1158,-2618,-3837,-4681,-5073,-4982,-4448,-3491,-2212,-755,775,2229,3487,4429,
4961,5026,4618,3751,2519,1042,-534,-2058,-3378,-4372,-4922,-5018,-4638,-3817,-2654,-1243,280,1769,3115,4187,
4870,5096,4850,4139,3034,1634,74,-1484,-2894,-4013,-4744,-5013,-4803,-4141,-3114,-1778,-296,1233,2634,3812,
4654,5072,4998,4456,3492,2178,653,-924,-2414,-3652,-4547,-4982,-4943,-4449,-3540,-2306,-856,677,2134,3417,
4394,4962,5063,4694,3874,2680,1220,-356,-1887,-3236,-4259,-4868,-5017,-4685,-3915,-2799,-1414,81,1601,2959,
4051,4775,5066,4875,4224,3154,1781,231,-1336,-2766,-3929,-4717,-5033,-4879,-4268,-3268,-1967,-496,1025,2453,
3661,4541,4988,4969,4481,3565,2293,788,-784,-2275,-3549,-4476,-4967,-4985,-4541,-3674,-2478,-1046,468,1942,
3239,4255,4882,5041,4736,3973,2826,1398,-160,-1703,-3065,-4127,-4792,-4993,-4708,-3991,-2903,-1553,-55,1455,
2840,3979,4756,5091,4958,4356,3329,1996,458,-1096,-2547,-3729,-4541,-4918,-4812,-4246,-3284,-2022,-560,956,
2393,3624,4537,5035,5091,4662,3792,2569,1100,-482,-1986,-3290,-4254,-4803,-4859,-4475,-3657,-2498,-1092,417,
1903,3223,4273,4942,5155,4890,4164,3055,1660,96,-1447,-2849,-3952,-4659,-4909,-4697,-4016,-2975,-1650,-166,
1335,2737,3884,4706,5087,5007,4444,3476,2171,655,-918,-2391,-3618,-4481,-4923,-4871,-4373,-3450,-2222,-795,
726,2179,3439,4399,4950,5057,4668,3841,2633,1178,-402,-1921,-3266,-4285,-4886,-5025,-4685,-3907,-2785,-1412,
100,1596,2941,4014,4719,4997,4786,4108,3048,1671,133,-1436,-2864,-4008,-4779,-5090,-4923,-4314,-3306,-2012,
-537,978,2405,3605,4471,4918,4899,4392,3457,2174,689,-893,-2387,-3651,-4576,-5057,-5067,-4617,-3731,-2531,
-1103,425,1901,3196,4188,4798,4967,4634,3861,2707,1269,-291,-1833,-3206,-4260,-4906,-5109,-4815,-4087,-2989,
-1637,-132,1370,2757,3874,4657,4981,4842,4233,3195,1849,320,-1259,-2709,-3898,-4716,-5076,-4973,-4398,-3418,
-2146,-676,852,2297,3534,4438,4946,4975,4526,3636,2403,914,-658,-2183,-3478,-4437,-4967,-5037,-4627,-3795,
-2615,-1202,315,1803,3141,4174,4851,5058,4792,4066,2931,1516,-50,-1612,-3010,-4108,-4816,-5058,-4823,-4136,
-3053,-1722,-219,1305,2714,3882,4675,5068,4976,4396,3387,2076,549,-1033,-2519,-3748,-4597,-5008,-4950,-4411,
-3480,-2219,-767,761,2227,3494,4445,4999,5076,4682,3819,2608,1127,-449,-1993,-3324,-4329,-4922,-5029,-4666,
-3884,-2713,-1316,203,1712,3070,4150,4850,5109,4886,4184,3091,1699,1,-33,-335,-657,-561,-167,625,
1818,3006,3997,4617,4144,2592,310,-2735,-6068,-8850,-10767,-11405,-10692,-8898,-6313,-3334,-505,2248,4815,6830,
8303,9088,8808,7453,5043,1552,-2578,-6621,-10170,-12753,-13892,-13537,-11947,-9478,-6718,-3974,-1230,1187,3166,5386,
7712,9242,10060,10159,8669,5620,1723,-2864,-7587,-11524,-14349,-15719,-15387,-13871,-11358,-7587,-3326,642,4784,8983,
12137,13912,14327,12792,9526,5220,91,-5114,-9149,-11968,-13913,-14455,-13545,-12035,-9987,-7118,-3723,8,4067,8044,
11426,13768,14836,14323,11917,8038,3424,-1293,-5855,-9943,-13020,-14801,-15318,-14436,-12017,-8122,-3417,1444,6297,10468,
13331,14968,15106,13627,10956,7748,4320,699,-2768,-5956,-8822,-10953,-12064,-12302,-11422,-9320,-6236,-2265,2312,6559,
10369,13334,14858,15050,14019,11768,8217,3922,-452,-4687,-8201,-10471,-11415,-10930,-9242,-6641,-3462,-19,3371,6106,
8135,9810,10938,11332,10992,9683,7528,5002,2218,-535,-3129,-5469,-6849,-7216,-6685,-5306,-3396,-1068,1633,4360,
6996,9112,10605,11110,10441,9320,7625,5285,3125,1067,-868,-2072,-2986,-3091,-2463,-1714,-629,723,2112,3121,
4283,5503,6244,7151,7580,7384,6397,4896,2901,591,-1502,-2995,-4188,-4758,-4435,-3567,-2368,-946,779,1968,
2861,3749,4179,4503,4708,4704,4339,3307,1765,69,-1645,-2986,-3784,-4088,-3778,-3190,-2421,-1308,-288,800,
2009,2968,3969,4749,5084,5050,4490,3455,1967,128,-1619,-3342,-4929,-5936,-6560,-6740,-6129,-5065,-3548,-1692,
77,1474,2579,3434,3881,3918,3647,2759,1205,-509,-2557,-4736,-6398,-7375,-7789,-7433,-6540,-5302,-3934,-2490,
-795,994,2713,4447,5816,6663,6736,5794,4234,2114,-597,-3252,-5622,-7531,-8683,-8981,-8532,-7517,-6036,-4152,
-2091,-82,1873,3572,4862,5629,5727,5165,4012,2324,173,-2278,-4602,-6640,-8162,-8968,-9064,-8412,-7050,-5200,
-3004,-558,1902,4213,6127,7488,8128,7879,6877,5076,2537,-166,-2842,-5341,-7225,-8321,-8588,-7995,-6632,-4768,
-2624,-318,1928,3975,5765,7064,7726,7747,7078,5588,3515,1033,-1682,-4325,-6453,-7888,-8657,-8640,-7706,-6125,
-4002,-1480,1099,3583,5790,7537,8583,8811,8225,6797,4665,2138,-638,-3340,-5587,-7240,-8180,-8235,-7506,-6125,
-4208,-1951,412,2731,4926,6712,7913,8498,8326,7326,5672,3499,947,-1666,-3941,-5755,-6927,-7260,-6843,-5818,
-4212,-2239,-157,1951,3957,5658,6971,7730,7774,7100,5811,3979,1766,-505,-2614,-4400,-5626,-6130,-5991,-5296,
-4111,-2622,-996,704,2370,3898,5189,6115,6551,6419,5711,4419,2733,799,-1207,-3006,-4382,-5226,-5450,-5106,
-4247,-3010,-1542,38,1618,3105,4438,5457,6030,6060,5529,4415,2808,907,-1098,-2991,-4503,-5483,-5928,-5817,
-5246,-4303,-3076,-1689,-239,1205,2582,3749,4594,5004,4846,4082,2755,1022,-962,-2937,-4622,-5892,-6608,-6700,
-6255,-5360,-4085,-2544,-826,966,2694,4199,5323,5938,5954,5294,4034,2255,146,-2022,-4022,-5660,-6793,-7322,
-7242,-6568,-5346,-3722,-1839,199,2218,4034,5498,6456,6715,6212,5036,3218,941,-1479,-3811,-5823,-7266,-7988,
-7973,-7269,-5964,-4225,-2193,23,2228,4258,5984,7182,7689,7482,6543,4889,2762,421,-1948,-4060,-5642,-6582,
-6827,-6342,-5226,-3639,-1708,422,2557,4569,6323,7620,8299,8296,7524,6020,3970,1575,-961,-3322,-5256,-6612,
-7246,-7110,-6284,-4879,-3008,-845,1399,3589,5572,7125,8088,8380,7898,6652,4808,2538,56,-2319,-4336,-5830,
-6639,-6691,-6052,-4816,-3089,-1061,1107,3271,5250,6860,7960,8401,8073,7004,5299,3071,564,-1882,-4057,-5735,
-6701,-6929,-6477,-5396,-3858,-2041,-62,1939,3812,5423,6640,7308,7303,6604,5253,3343,1102,-1224,-3367,-5123,
-6295,-6777,-6588,-5779,-4463,-2796,-930,1039,2926,4597,5947,6812,7063,6642,5551,3890,1845,-375,-2549,-4421,
-5812,-6594,-6730,-6239,-5199,-3758,-2011,-96,1809,3575,5070,6115,6585,6421,5571,4079,2140,-59,-2285,-4260,
-5752,-6670,-6923,-6502,-5522,-4104,-2370,-484,1408,3196,4786,5998,6718,6820,6226,4965,3177,1013,-1273,-3404,
-5156,-6379,-6920,-6766,-6004,-4730,-3081,-1199,765,2694,4434,5799,6694,6986,6567,5472,3786,1643,-679,-2896,
-4815,-6226,-6963,-7009,-6412,-5253,-3677,-1843,128,2109,3928,5441,6536,7044,6860,5993,4483,2456,177,-2104,
-4181,-5797,-6767,-7043,-6642,-5630,-4160,-2387,-434,1559,3423,5034,6259,6940,6985,6357,5053,3194,1003,-1311,
-3501,-5294,-6516,-7075,-6923,-6099,-4762,-3053,-1112,890,2812,4532,5908,6792,7076,6707,5653,4014,1976,-280,
-2501,-4412,-5829,-6621,-6703,-6127,-5009,-3467,-1653,273,2169,3921,5390,6430,6950,6840,6053,4649,2769,564,
-1694,-3738,-5378,-6447,-6826,-6533,-5657,-4314,-2641,-800,1082,2890,4475,5696,6443,6579,6042,4889,3192,1103,
-1113,-3211,-4988,-6243,-6853,-6816,-6189,-5051,-3545,-1808,37,1858,3501,4863,5806,6191,5943,5062,3596,1677,
-476,-2617,-4550,-6036,-6932,-7203,-6843,-5908,-4543,-2874,-1026,854,2627,4168,5335,5982,6017,5410,4169,2423,
362,-1806,-3846,-5496,-6614,-7135,-7014,-6315,-5156,-3657,-1944,-168,1561,3134,4404,5221,5499,5151,4155,2630,
715,-1408,-3471,-5249,-6548,-7263,-7319,-6770,-5705,-4252,-2536,-714,1103,2807,4247,5304,5857,5799,5088,3797,
2030,-30,-2136,-4039,-5557,-6524,-6859,-6573,-5740,-4462,-2872,-1116,706,2460,4000,5217,5970,6129,5646,4556,
2939,954,-1156,-3152,-4839,-6014,-6576,-6523,-5877,-4741,-3255,-1533,299,2116,3790,5194,6188,6631,6450,5639,
4241,2404,348,-1716,-3554,-4939,-5754,-5949,-5519,-4566,-3213,-1590,188,1989,3695,5188,6328,6960,7010,6415,
5191,3471,1437,-710,-2703,-4319,-5400,-5864,-5685,-4924,-3699,-2131,-347,1516,3337,4999,6341,7227,7554,7218,
6229,4687,2742,593,-1504,-3308,-4653,-5406,-5520,-5022,-4016,-2586,-875,981,2865,4638,6134,7221,7762,7645,
6846,5443,3553,1379,-818,-2808,-4397,-5420,-5798,-5558,-4757,-3493,-1916,-139,1721,3520,5136,6403,7197,7372,
6871,5726,4011,1922,-307,-2433,-4230,-5496,-6136,-6134,-5521,-4397,-2898,-1150,728,2598,4316,5749,6745,7158,
6917,6000,4468,2493,297,-1906,-3852,-5333,-6230,-6483,-6105,-5181,-3837,-2192,-368,1495,3271,4816,5969,6589,
6581,5881,4538,2686,517,-1751,-3842,-5538,-6686,-7187,-7032,-6279,-5052,-3458,-1642,264,2138,3828,5172,6028,
6277,5830,4710,3023,932,-1345,-3535,-5405,-6783,-7523,-7589,-7023,-5917,-4394,-2601,-668,1271,3064,4558,5607,
6082,5876,4982,3474,1486,-768,-3017,-5038,-6614,-7577,-7868,-7502,-6528,-5078,-3294,-1314,720,2645,4315,5573,
6274,6295,5624,4294,2415,205,-2097,-4259,-6030,-7223,-7764,-7625,-6852,-5551,-3870,-1950,70,2033,3796,5208,
6107,6381,5971,4870,3176,1075,-1217,-3448,-5364,-6764,-7525,-7601,-7013,-5864,-4284,-2403,-373,1658,3546,5141,
6265,6802,6648,5784,4281,2303,58,-2213,-4233,-5794,-6759,-7041,-6643,-5651,-4175,-2359,-361,1676,3616,5296,
6563,7276,7335,6691,5392,3573,1403,-867,-2980,-4724,-5921,-6449,-6302,-5533,-4243,-2569,-666,1319,3250,4979,
6355,7246,7539,7147,6095,4454,2390,136,-2058,-3966,-5368,-6135,-6217,-5650,-4519,-2965,-1141,809,2757,4546,
6046,7118,7612,7454,6631,5185,3253,1050,-1180,-3194,-4777,-5751,-6054,-5697,-4734,-3307,-1557,375,2342,4202,
5820,7050,7751,7818,7217,5953,4150,2002,-266,-2407,-4176,-5395,-5969,-5860,-5128,-3886,-2265,-417,1505,3374,
5050,6384,7233,7495,7096,6029,4378,2315,36,-2199,-4142,-5606,-6453,-6615,-6126,-5082,-3602,-1841,55,1945,
3698,5175,6226,6741,6622,5839,4453,2576,405,-1819,-3852,-5485,-6548,-6942,-6670,-5809,-4465,-2783,-921,987,
2815,4403,5624,6342,6442,5874,4667,2908,779,-1479,-3629,-5446,-6737,-7389,-7381,-6760,-5627,-4111,-2361,-503,
1333,3009,4392,5346,5730,5475,4568,3069,1124,-1047,-3208,-5129,-6586,-7443,-7656,-7232,-6247,-4848,-3147,-1292,
587,2371,3917,5086,5732,5770,5153,3905,2148,73,-2097,-4127,-5784,-6905,-7396,-7234,-6489,-5270,-3702,-1921,
-69,1727,3351,4652,5498,5782,5428,4437,2898,956,-1177,-3255,-5051,-6382,-7118,-7205,-6682,-5647,-4209,-2509,
-685,1138,2843,4284,5331,5859,5765,5022,3697,1884,-198,-2321,-4241,-5766,-6726,-7053,-6759,-5915,-4624,-3019,
-1241,594,2357,3927,5158,5915,6084,5618,4530,2915,937,-1164,-3166,-4845,-6019,-6587,-6529,-5883,-4744,-3245,
-1512,338,2159,3829,5213,6163,6557,6322,5453,4008,2137,57,-2020,-3856,-5249,-6078,-6273,-5849,-4894,-3514,
-1842,-9,1847,3604,5124,6263,6881,6895,6259,5007,3268,1221,-907,-2873,-4464,-5528,-5968,-5780,-5020,-3803,
-2236,-457,1408,3228,4878,6197,7052,7324,6946,5919,4338,2360,201,-1889,-3684,-5000,-5714,-5777,-5232,-4167,
-2695,-958,908,2783,4523,5986,7026,7520,7367,6561,5161,3290,1159,-996,-2938,-4473,-5437,-5760,-5460,-4588,
-3267,-1621,219,2118,3932,5530,6760,7481,7575,7003,5799,4057,1966,-234,-2318,-4054,-5267,-5865,-5817,-5169,
-4019,-2485,-705,1190,3066,4775,6179,7118,7465,7153,6173,4601,2605,393,-1789,-3695,-5137,-5978,-6163,-5714,
-4717,-3295,-1576,306,2210,4003,5546,6680,7278,7236,6525,5187,3354,1207,-1014,-3055,-4701,-5801,-6250,-6041,
-5238,-3957,-2315,-462,1463,3326,4972,6260,7042,7207,6693,5530,3823,1733,-513,-2655,-4478,-5792,-6481,-6506,
-5910,-4790,-3261,-1468,452,2359,4107,5551,6538,6944,6677,5746,4212,2224,-2,-2220,-4192,-5718,-6641,-6904,
-6520,-5557,-4145,-2410,-496,1454,3292,4871,6046,6659,6618,5901,4528,2644,439,-1837,-3944,-5661,-6809,-7305,
-7129,-6338,-5043,-3389,-1504,467,2367,4055,5389,6208,6406,5921,4771,3059,954,-1318,-3509,-5377,-6729,-7458,
-7505,-6907,-5768,-4213,-2377,-410,1546,3339,4830,5854,6296,6060,5134,3584,1567,-711,-2989,-5026,-6603,-7566,
-7852,-7468,-6503,-5069,-3318,-1385,578,2438,4039,5235,5889,5905,5227,3905,2060,-123,-2401,-4515,-6250,-7424,
-7938,-7774,-6991,-5693,-4023,-2122,-143,1787,3509,4877,5748,6010,5583,4501,2846,775,-1474,-3663,-5551,-6942,
-7701,-7782,-7215,-6088,-4539,-2711,-750,1196,2988,4479,5530,6007,5831,4989,3537,1617,-558,-2758,-4735,-6281,
-7234,-7528,-7165,-6214,-4801,-3068,-1149,803,2651,4266,5493,6204,6296,5717,4501,2756,669,-1537,-3615,-5328,
-6506,-7042,-6911,-6167,-4917,-3298,-1449,482,2361,4049,5404,6282,6582,6232,5231,3674,1717,-437,-2540,-4358,
-5708,-6452,-6545,-6004,-4926,-3428,-1656,258,2165,3937,5425,6496,7023,6921,6163,4805,2979,871,-1272,-3226,
-4773,-5761,-6113,-5824,-4947,-3611,-1938,-81,1826,3649,5239,6466,7192,7316,6789,5635,3954,1921,-240,-2298,
-4020,-5228,-5809,-5741,-5059,-3865,-2301,-501,1398,3252,4935,6301,7222,7583,7311,6394,4905,2983,838,-1300,
-3192,-4630,-5481,-5692,-5259,-4284,-2873,-1179,665,2527,4274,5761,6857,7423,7375,6669,5349,3537,1425,-766,
-2786,-4419,-5512,-5970,-5782,-5013,-3764,-2173,-374,1496,3303,4916,6187,6982,7202,6774,5704,4096,2101,-74,
-2178,-3990,-5316,-6036,-6111,-5563,-4491,-3014,-1282,573,2411,4103,5508,6493,6941,6765,5947,4550,2697,582,
-1566,-3508,-5038,-6005,-6332,-6028,-5154,-3833,-2197,-391,1454,3203,4729,5887,6556,6627,6063,4888,3207,1184,
-952,-2980,-4675,-5859,-6440,-6392,-5749,-4615,-3115,-1378,456,2262,3906,5235,6127,6450,6144,5202,3694,1781,
-340,-2435,-4270,-5645,-6448,-6621,-6181,-5212,-3828,-2156,-341,1495,3220,4694,5777,6343,6304,5623,4346,2594,
541,-1574,-3521,-5092,-6126,-6540,-6331,-5556,-4313,-2737,-965,873,2654,4239,5482,6260,6460,6018,4957,3358,
1386,-743,-2797,-4546,-5808,-6474,-6506,-5937,-4854,-3377,-1645,201,2043,3740,5148,6124,6555,6348,5499,4061,
2188,72,-2046,-3945,-5418,-6316,-6585,-6239,-5342,-4007,-2368,-554,1302,3080,4626,5803,6471,6521,5920,4690,
2942,868,-1310,-3353,-5034,-6191,-6723,-6610,-5911,-4716,-3159,-1375,500,2338,3988,5316,6175,6447,6076,5057,
3475,1497,-676,-2798,-4644,-6023,-6805,-6948,-6468,-5449,-4015,-2292,-421,1462,3226,4713,5782,6304,6192,5414,
4031,2171,34,-2140,-4126,-5701,-6724,-7112,-6860,-6035,-4742,-3103,-1267,637,2467,4083,5335,6077,6208,5678,
4504,2791,727,-1474,-3562,-5324,-6568,-7191,-7169,-6540,-5400,-3870,-2093,-199,1672,3379,4778,5719,6090,5805,
4871,3356,1408,-753,-2895,-4790,-6231,-7085,-7296,-6869,-5895,-4475,-2751,-862,1054,2856,4393,5516,6092,6036,
5312,3978,2159,48,-2125,-4120,-5733,-6790,-7217,-6995,-6189,-4895,-3254,-1396,531,2389,4038,5325,6105,6287,
5801,4670,2999,963,-1230,-3322,-5102,-6369,-7026,-7024,-6405,-5263,-3719,-1913,4,1905,3646,5078,6056,6460,
6218,5312,3824,1889,-278,-2437,-4356,-5822,-6691,-6903,-6474,-5477,-4038,-2294,-392,1530,3337,4885,6032,6640,
6625,5946,4653,2858,747,-1437,-3462,-5110,-6212,-6674,-6477,-5681,-4392,-2744,-878,1058,2929,4585,5888,6692,
6889,6432,5333,3681,1645,-552,-2675,-4489,-5804,-6505,-6541,-5950,-4820,-3285,-1483,436,2334,4065,5501,6489,
6911,6702,5841,4392,2490,342,-1818,-3761,-5273,-6205,-6489,-6128,-5196,-3814,-2115,-237,1671,3475,5034,6200,
6846,6876,6252,5012,3261,1182,-995,-3036,-4718,-5870,-6391,-6259,-5524,-4297,-2699,-883,1019,2858,4507,5814,
6655,6912,6532,5510,3948,1983,-167,-2261,-4073,-5419,-6164,-6265,-5744,-4693,-3235,-1506,349,2201,3908,5341,
6360,6847,6712,5938,4577,2756,661,-1475,-3410,-4941,-5915,-6261,-5965,-5108,-3801,-2171,-363,1491,3253,4794,
5972,6657,6745,6205,5055,3395,1401,-719,-2725,-4399,-5576,-6143,-6086,-5437,-4295,-2793,-1053,776,2564,4191,
5507,6385,6703,6397,5463,3983,2083,-18,-2095,-3925,-5309,-6121,-6300,-5866,-4898,-3516,-1857,-57,1758,3454,
4898,5955,6498,6442,5757,4471,2723,675,-1439,-3380,-4950,-5984,-6395,-6181,-5400,-4161,-2593,-831,990,2736,
4287,5502,6246,6422,5971,4906,3322,1363,-748,-2781,-4523,-5787,-6460,-6501,-5948,-4889,-3443,-1741,79,1884,
3539,4917,5875,6287,6083,5252,3852,2017,-60,-2140,-4002,-5452,-6345,-6618,-6280,-5395,-4087,-2470,-682,1145,
2867,4372,5511,6152,6202,5619,4441,2772,771,-1327,-3299,-4939,-6074,-6609,-6520,-5855,-4706,-3200,-1465,355,
2134,3747,5043,5897,6195,5873,4939,3450,1571,-507,-2551,-4333,-5670,-6445,-6593,-6140,-5164,-3791,-2139,-338,
1478,3171,4612,5654,6182,6103,5387,4097,2348,324,-1750,-3638,-5151,-6138,-6524,-6297,-5516,-4289,-2735,-979,
849,2615,4189,5421,6189,6372,5912,4842,3247,1301,-784,-2780,-4461,-5662,-6277,-6264,-5667,-4575,-3111,-1407,
418,2226,3879,5250,6202,6609,6398,5561,4161,2332,268,-1789,-3624,-5039,-5901,-6142,-5771,-4857,-3517,-1875,
-67,1775,3519,5020,6148,6773,6798,6187,4975,3264,1246,-861,-2821,-4422,-5513,-5993,-5847,-5123,-3922,-2374,
-605,1251,3065,4686,5980,6804,7053,6656,5622,4049,2093,-34,-2094,-3862,-5163,-5879,-5967,-5454,-4417,-2988,
-1287,551,2397,4113,5554,6574,7057,6905,6106,4714,2860,741,-1414,-3357,-4891,-5874,-6220,-5931,-5076,-3760,
-2123,-300,1580,3367,4920,6103,6778,6845,6260,5053,3335,1278,-894,-2948,-4663,-5867,-6456,-6408,-5758,-4600,
-3076,-1303,575,2416,4083,5428,6311,6615,6270,5280,3729,1762,-397,-2527,-4392,-5805,-6627,-6808,-6368,-5384,
-3975,-2273,-413,1466,3223,4704,5775,6305,6202,5439,4068,2227,110,-2061,-4042,-5630,-6663,-7069,-6840,-6028,
-4747,-3128,-1308,580,2389,3983,5215,5955,6092,5579,4438,2774,754,-1404,-3463,-5200,-6430,-7069,-7055,-6438,
-5309,-3786,-2012,-120,1744,3443,4823,5754,6107,5822,4894,3398,1486,-649,-2761,-4625,-6048,-6891,-7094,-6677,
-5707,-4302,-2601,-735,1147,2910,4416,5515,6092,6055,5366,4073,2300,230,-1908,-3885,-5480,-6533,-6961,-6751,
-5951,-4678,-3055,-1231,666,2494,4116,5380,6166,6357,5903,4817,3199,1213,-925,-2982,-4726,-5989,-6641,-6651,
-6048,-4920,-3400,-1623,274,2141,3852,5254,6210,6606,6378,5511,4069,2202,100,-2001,-3880,-5330,-6211,-6458,
-6082,-5141,-3761,-2077,-221,1666,3450,4978,6113,6730,6732,6085,4828,3087,1037,-1105,-3100,-4724,-5834,-6317,
-6168,-5427,-4201,-2615,-814,1070,2892,4522,5807,6621,6861,6466,5435,3871,1924,-201,-2266,-4054,-5374,-6110,
-6204,-5690,-4643,-3194,-1473,374,2219,3922,5342,6346,6809,6654,5862,4488,2663,581,-1529,-3447,-4954,-5917,
-6251,-5955,-5106,-3803,-2180,-378,1471,3229,4761,5927,6592,6673,6117,4950,3282,1284,-826,-2829,-4504,-5674,
-6243,-6190,-5546,-4413,-2912,-1176,650,2441,4060,5369,6230,6540,6229,5296,3811,1925,-161,-2225,-4038,-5411,
-6215,-6393,-5964,-5003,-3622,-1955,-151,1672,3367,4798,5833,6351,6265,5556,4261,2511,484,-1601,-3514,-5055,
-6068,-6474,-6261,-5493,-4263,-2704,-947,861,2614,4158,5359,6090,6254,5787,4717,3131,1187,-896,-2897,-4596,
-5815,-6447,-6459,-5884,-4805,-3346,-1638,182,1980,3629,4982,5919,6315,6097,5255,3857,2034,-16,-2071,-3907,
-5332,-6197,-6441,-6085,-5184,-3849,-2221,-431,1395,3119,4606,5722,6334,6360,5764,4571,2901,925,-1139,-3075,
-4669,-5763,-6258,-6133,-5444,-4270,-2744,-989,849,2649,4267,5562,6398,6667,6311,5336,3829,1935,-133,-2153,
-3903,-5200,-5926,-6035,-5550,-4551,-3154,-1482,325,2141,3834,5266,6297,6800,6700,5964,4652,2882,845,-1239,
-3135,-4654,-5633,-6005,-5756,-4961,-3709,-2127,-352,1478,3240,4792,5992,6701,6835,6331,5224,3595,1624,-470,
-2475,-4162,-5371,-5979,-5972,-5381,-4300,-2833,-1127,692,2484,4128,5470,6369,6717,6448,5549,4095,2229,152,
-1910,-3736,-5143,-5989,-6223,-5856,-4955,-3629,-2002,-205,1620,3346,4823,5914,6485,6455,5783,4520,2772,732,
-1385,-3347,-4942,-6021,-6490,-6330,-5604,-4405,-2861,-1104,727,2499,4079,5315,6081,6270,5836,4778,3198,1244,
-866,-2903,-4657,-5948,-6649,-6731,-6204,-5167,-3727,-2021,-177,1651,3341,4745,5714,6133,5924,5081,3674,1822,
-261,-2357,-4238,-5714,-6635,-6934,-6616,-5748,-4430,-2793,-970,893,2661,4194,5348,5982,6009,5393,4165,2445,
407,-1722,-3719,-5366,-6500,-7025,-6922,-6232,-5054,-3503,-1714,166,2004,3656,4973,5821,6092,5723,4722,3178,
1230,-895,-2975,-4792,-6144,-6913,-7044,-6550,-5520,-4061,-2321,-438,1444,3182,4640,5673,6156,6019,5238,3876,
2054,-33,-2146,-4074,-5600,-6583,-6935,-6659,-5812,-4504,-2867,-1026,866,2673,4257,5468,6177,6280,5735,4570,
2891,872,-1266,-3294,-4993,-6186,-6771,-6716,-6067,-4914,-3383,-1605,283,2136,3811,5173,6078,6406,6094,5149,
3641,1722,-401,-2490,-4321,-5704,-6509,-6679,-6228,-5238,-3824,-2116,-256,1612,3357,4839,5909,6451,6380,5669,
4368,2600,546,-1566,-3508,-5069,-6101,-6513,-6291,-5493,-4225,-2618,-801,1074,2877,4464,5694,6434,6582,6097,
4994,3371,1398,-722,-2746,-4450,-5675,-6307,-6296,-5689,-4570,-3073,-1321,544,2383,4056,5425,6350,6727,6470,
5586,4141,2276,189,-1887,-3735,-5153,-6005,-6230,-5834,-4888,-3520,-1838,-2,1862,3605,5094,6194,6764,6737,
6068,4808,3072,1041,-1074,-3029,-4619,-5691,-6154,-5981,-5234,-4005,-2429,-639,1227,3024,4614,5860,6628,6820,
6374,5317,3737,1792,-316,-2348,-4097,-5373,-6066,-6129,-5588,-4522,-3070,-1349,493,2321,3995,5380,6342,6760,
6558,5731,4333,2495,417,-1677,-3561,-5031,-5949,-6245,-5916,-5036,-3710,-2081,-275,1570,3313,4812,5939,6564,
6597,5997,4806,3126,1127,-975,-2947,-4591,-5733,-6280,-6193,-5529,-4373,-2859,-1117,716,2501,4102,5378,6205,
6469,6109,5139,3636,1737,-344,-2389,-4170,-5507,-6281,-6428,-5975,-4995,-3608,-1946,-141,1670,3345,4760,5771,
6256,6143,5398,4087,2328,299,-1773,-3664,-5180,-6162,-6543,-6311,-5521,-4277,-2714,-956,857,2594,4113,5282,
5980,6101,5601,4509,2914,976,-1091,-3073,-4744,-5942,-6556,-6553,-5971,-4885,-3428,-1731,75,1859,3476,4793,
5682,6025,5762,4880,3460,1635,-399,-2424,-4219,-5597,-6427,-6656,-6283,-5380,-4058,-2445,-675,1130,2821,4270,
5339,5910,5888,5249,4030,2341,359,-1700,-3613,-5173,-6220,-6680,-6526,-5807,-4625,-3096,-1362,457,2217,3781,
5020,5794,6007,5606,4594,3073,1176,-873,-2870,-4582,-5845,-6533,-6607,-6095,-5071,-3649,-1966,-149,1657,3328,
4714,5690,6136,5979,5198,3864,2093,83,-1954,-3795,-5248,-6162,-6476,-6183,-5342,-4056,-2451,-662,1180,2938,
4471,5635,6308,6392,5843,4698,3058,1097,-973,-2930,-4549,-5682,-6219,-6142,-5488,-4348,-2846,-1110,735,2534,
4166,5481,6361,6681,6385,5465,4011,2153,97,-1929,-3710,-5054,-5836,-6001,-5563,-4596,-3213,-1545,277,2114,
3833,5288,6345,6878,6809,6111,4834,3103,1094,-976,-2873,-4403,-5415,-5822,-5618,-4851,-3617,-2046,-274,1572,
3349,4919,6131,6863,7015,6541,5457,3872,1933,-139,-2124,-3813,-5024,-5659,-5681,-5121,-4056,-2607,-902,918,
2728,4381,5731,6654,7031,6789,5921,4493,2649,579,-1490,-3334,-4756,-5630,-5887,-5529,-4629,-3300,-1664,130,
1961,3675,5145,6226,6796,6772,6122,4880,3167,1156,-939,-2888,-4485,-5568,-6054,-5928,-5222,-4040,-2500,-749,
1085,2867,4451,5692,6463,6662,6230,5181,3606,1661,-441,-2484,-4238,-5533,-6249,-6344,-5838,-4811,-3381,-1686,
140,1960,3629,5010,5960,6368,6165,5327,3920,2084,3,-2089,-3981,-5468,-6398,-6714,-6405,-5549,-4247,-2622,
-824,1019,2760,4275,5404,6038,6075,5477,4281,2587,575,-1538,-3531,-5190,-6339,-6888,-6805,-6138,-4976,-3436,
-1670,186,1998,3625,4918,5750,6009,5641,4662,3137,1233,-854,-2897,-4676,-6010,-6771,-6905,-6444,-5445,-4036,
-2341,-504,1343,3057,4500,5524,6021,5902,5149,3823,2039,-2,-2089,-3985,-5501,-6474,-6834,-6580,-5765,-4481,
-2876,-1068,787,2568,4123,5316,6014,6124,5607,4489,2863,908,-1174,-3155,-4824,-6003,-6592,-6556,-5932,-4806,
-3303,-1551,299,2114,3754,5082,5965,6294,6007,5105,3659,1812,-239,-2272,-4071,-5444,-6257,-6456,-6044,-5101,
-3728,-2059,-237,1600,3316,4771,5829,6359,6294,5604,4340,2607,605,-1458,-3360,-4895,-5907,-6317,-6112,-5346,
-4110,-2546,-776,1057,2817,4369,5581,6310,6465,6006,4944,3375,1451,-618,-2597,-4290,-5516,-6155,-6183,-5617,
-4552,-3097,-1389,434,2233,3878,5220,6136,6511,6273,5426,4032,2220,186,-1851,-3666,-5082,-5947,-6200,-5846,
-4952,-3627,-1998,-208,1609,3314,4778,5861,6439,6436,5813,4611,2941,966,-1089,-3010,-4591,-5665,-6148,-6021,
-5323,-4155,-2635,-900,914,2671,4238,5480,6268,6497,6114,5128,3620,1738,-312,-2310,-4044,-5330,-6049,-6150,
-5664,-4660,-3260,-1595,199,1992,3640,5018,5987,6428,6283,5520,4202,2450,447,-1590,-3436,-4905,-5848,-6192,
-5937,-5132,-3887,-2318,-564,1237,2962,4464,5610,6271,6358,5831,4724,3121,1193,-848,-2781,-4405,-5554,-6126,
-6087,-5479,-4389,-2928,-1237,557,2315,3906,5193,6047,6356,6071,5177,3751,1932,-88,-2087,-3844,-5189,-5982,
-6175,-5777,-4861,-3535,-1921,-161,1619,3287,4702,5732,6266,6209,5540,4309,2620,656,-1373,-3248,-4768,-5786,
-6216,-6039,-5311,-4128,-2607,-879,919,2648,4180,5374,6106,6268,5822,4789,3252,1368,-661,-2606,-4272,-5485,
-6135,-6186,-5655,-4633,-3228,-1568,216,1982,3604,4953,5875,6269,6060,5248,3888,2107,108,-1908,-3715,-5124,
-6004,-6280,-5956,-5098,-3815,-2222,-460,1338,3043,4509,5608,6217,6235,5649,4474,2830,880,-1168,-3084,-4666,
-5762,-6269,-6172,-5508,-4372,-2877,-1152,660,2423,4009,5270,6079,6330,5964,4992,3506,1640,-401,-2392,-4129,
-5427,-6171,-6311,-5856,-4890,-3514,-1862,-65,1742,3416,4822,5824,6300,6168,5420,4103,2352,338,-1715,-3581,
-5067,-6030,-6391,-6151,-5356,-4116,-2548,-789,1032,2768,4287,5457,6139,6247,5730,4629,3033,1096,-959,-2921,
-4577,-5759,-6364,-6356,-5764,-4675,-3213,-1498,325,2118,3741,5059,5936,6269,5980,5085,3648,1815,-226,-2248,
-4034,-5406,-6235,-6452,-6072,-5162,-3825,-2195,-399,1424,3125,4574,5634,6175,6115,5436,4183,2476,484,-1567,
-3457,-4993,-6021,-6454,-6283,-5546,-4352,-2816,-1069,756,2513,4069,5288,6037,6218,5774,4736,3180,1272,-788,
-2771,-4466,-5699,-6360,-6402,-5850,-4799,-3354,-1654,170,1974,3621,4980,5908,6298,6078,5244,3864,2068,43,
-1985,-3801,-5217,-6091,-6360,-6024,-5144,-3830,-2205,-405,1428,3156,4639,5736,6336,6339,5717,4521,2849,876,
-1180,-3103,-4679,-5765,-6256,-6131,-5444,-4273,-2744,-989,850,2637,4225,5482,6280,6510,6118,5119,3601,1711,
-349,-2353,-4087,-5377,-6089,-6196,-5699,-4685,-3268,-1580,244,2057,3731,5117,6092,6539,6379,5601,4263,2490,
465,-1592,-3457,-4933,-5882,-6222,-5948,-5118,-3835,-2230,-446,1396,3143,4652,5800,6448,6511,5951,4800,3163,
1204,-863,-2815,-4446,-5596,-6154,-6105,-5476,-4354,-2867,-1139,687,2476,4083,5373,6216,6507,6175,5237,3764,
1903,-148,-2165,-3938,-5275,-6057,-6226,-5798,-4843,-3471,-1823,-23,1788,3472,4888,5904,6404,6308,5594,4316,
2588,592,-1454,-3328,-4842,-5835,-6231,-6019,-5250,-4023,-2458,-702,1116,2857,4375,5548,6245,6373,5884,4803,
3233,1324,-713,-2665,-4321,-5512,-6129,-6141,-5570,-4507,-3065,-1375,431,2206,3828,5139,6028,6371,6109,5243,
3835,2031,15,-1993,-3774,-5146,-5978,-6202,-5838,-4942,-3628,-2019,-251,1541,3219,4650,5702,6255,6224,5587,
4375,2707,748,-1284,-3174,-4720,-5769,-6230,-6091,-5386,-4220,-2701,-978,825,2565,4110,5314,6063,6252,5843,
4837,3322,1451,-576,-2546,-4241,-5489,-6183,-6265,-5771,-4766,-3367,-1714,69,1839,3469,4813,5740,6153,5969,
5177,3840,2082,88,-1929,-3750,-5186,-6099,-6412,-6129,-5308,-4051,-2487,-745,1042,2740,4212,5317,5944,5995,
5434,4292,2669,734,-1300,-3224,-4826,-5948,-6493,-6433,-5808,-4702,-3235,-1546,245,1995,3567,4825,5637,5906,
5576,4646,3198,1372,-640,-2616,-4356,-5669,-6434,-6605,-6188,-5254,-3917,-2298,-533,1248,2906,4305,5312,5816,
5724,5033,3775,2073,115,-1899,-3745,-5230,-6207,-6602,-6392,-5642,-4443,-2907,-1185,610,2331,3842,5015,5717,
5862,5401,4348,2805,931,-1085,-3009,-4648,-5826,-6435,-6447,-5896,-4845,-3418,-1745,45,1814,3427,4747,5645,
6014,5780,4949,3580,1811,-170,-2148,-3918,-5276,-6113,-6353,-6008,-5135,-3832,-2228,-462,1342,3046,4498,5574,
6147,6140,5522,4335,2690,763,-1248,-3117,-4649,-5689,-6152,-6012,-5322,-4166,-2662,-939,859,2611,4173,5405,
6186,6412,6025,5047,3553,1697,-324,-2281,-3978,-5227,-5919,-6007,-5510,-4513,-3111,-1448,344,2137,3785,5152,
6104,6527,6362,5584,4256,2505,520,-1496,-3319,-4755,-5676,-5991,-5714,-4898,-3636,-2064,-300,1508,3227,4718,
5848,6481,6539,5975,4837,3217,1286,-755,-2673,-4282,-5410,-5966,-5915,-5298,-4196,-2729,-1022,784,2558,4154,
5438,6274,6552,6221,5290,3822,1976,-57,-2060,-3814,-5144,-5922,-6090,-5673,-4735,-3377,-1745,38,1829,3496,
4908,5914,6409,6315,5607,4336,2616,635,-1402,-3275,-4788,-5784,-6193,-5995,-5246,-4033,-2485,-735,1079,2821,
4350,5521,6218,6343,5860,4781,3206,1293,-743,-2698,-4354,-5551,-6170,-6190,-5633,-4578,-3133,-1445,361,2142,
3769,5094,5988,6333,6084,5216,3819,2008,-10,-2017,-3802,-5178,-6012,-6245,-5883,-4992,-3671,-2057,-277,1527,
3225,4669,5729,6290,6259,5617,4403,2725,759,-1281,-3178,-4725,-5772,-6227,-6072,-5353,-4167,-2632,-891,927,
2677,4228,5437,6177,6357,5930,4905,3379,1499,-531,-2491,-4174,-5412,-6086,-6154,-5641,-4619,-3206,-1524,285,
2084,3728,5081,6013,6404,6199,5379,4017,2234,231,-1783,-3594,-5013,-5897,-6183,-5868,-5018,-3731,-2133,-357,
1451,3163,4632,5734,6330,6347,5748,4572,2924,969,-1076,-2988,-4575,-5675,-6183,-6090,-5424,-4289,-2789,-1060,
751,2509,4080,5321,6114,6348,5974,5009,3524,1665,-362,-2352,-4080,-5379,-6128,-6263,-5808,-4838,-3456,-1790,
8,1807,3465,4849,5824,6273,6124,5368,4056,2319,329,-1690,-3532,-4999,-5953,-6307,-6068,-5280,-4047,-2485,
-731,1076,2794,4299,5437,6096,6181,5655,4548,2960,1045,-983,-2912,-4534,-5687,-6271,-6245,-5648,-4563,-3101,
-1405,397,2164,3751,5034,5885,6187,5893,4999,3580,1777,-228,-2208,-3957,-5292,-6089,-6285,-5893,-4975,-3651,
-2030,-259,1532,3201,4610,5623,6145,6073,5398,4170,2496,549,-1454,-3302,-4802,-5804,-6228,-6052,-5322,-4139,
-2617,-890,905,2628,4147,5325,6038,6187,5741,4705,3178,1310,-696,-2626,-4273,-5471,-6112,-6149,-5614,-4582,
-3177,-1512,264,2020,3619,4934,5827,6196,5971,5153,3800,2046,67,-1908,-3683,-5063,-5924,-6194,-5872,-5018,
-3739,-2157,-407,1377,3056,4497,5567,6141,6142,5542,4378,2748,830,-1177,-3052,-4600,-5665,-6159,-6054,-5396,
-4266,-2788,-1087,694,2432,3977,5204,5976,6206,5832,4869,3404,1573,-421,-2369,-4061,-5318,-6035,-6160,-5701,
-4737,-3381,-1749,18,1787,3423,4782,5747,6195,6058,5317,4032,2318,359,-1636,-3451,-4896,-5830,-6180,-5936,
-5157,-3936,-2391,-660,1130,2831,4310,5437,6086,6172,5656,4558,2994,1109,-899,-2798,-4397,-5542,-6125,-6107,
-5524,-4462,-3033,-1357,418,2170,3753,5031,5879,6191,5906,5024,3619,1830,-156,-2130,-3869,-5204,-5999,-6204,
-5822,-4932,-3617,-2021,-265,1513,3166,4570,5596,6107,6050,5382,4163,2500,566,-1434,-3275,-4779,-5781,-6214,
-6054,-5338,-4166,-2663,-943,845,2568,4087,5267,5982,6140,5698,4670,3152,1294,-706,-2637,-4282,-5487,-6141,
-6197,-5680,-4669,-3268,-1614,169,1940,3553,4878,5787,6156,5935,5109,3755,1998,18,-1968,-3739,-5124,-5985,
-6258,-5943,-5099,-3821,-2247,-495,1289,2975,4421,5495,6078,6093,5495,4333,2701,781,-1233,-3121,-4676,-5749,
-6254,-6153,-5492,-4358,-2869,-1160,637,2387,3940,5173,5949,6173,5793,4820,3344,1507,-495,-2451,-4147,-5414,
-6138,-6262,-5807,-4839,-3468,-1820,-27,1765,3417,4790,5753,6190,6040,5283,3977,2246,281,-1721,-3538,-4987,
-5920,-6269,-6017,-5228,-3988,-2429,-680,1125,2849,4347,5480,6134,6213,5681,4568,2977,1068,-952,-2869,-4475,
-5612,-6173,-6136,-5528,-4436,-2967,-1274,527,2291,3882,5158,5996,6292,5988,5084,3662,1853,-144,-2123,-3864,
-5189,-5977,-6171,-5772,-4850,-3508,-1880,-96,1701,3379,4789,5803,6304,6221,5526,4273,2582,629,-1376,-3223,
-4710,-5698,-6105,-5916,-5175,-3977,-2442,-706,1103,2837,4359,5532,6230,6363,5895,4836,3296,1418,-590,-2516,
-4156,-5340,-5960,-5988,-5439,-4388,-2965,-1292,499,2268,3878,5186,6068,6419,6176,5334,3958,2189,205,-1779,
-3550,-4918,-5759,-6001,-5653,-4776,-3471,-1861,-98,1701,3387,4820,5869,6414,6386,5756,4554,2913,983,-1016,
-2881,-4408,-5447,-5916,-5791,-5100,-3948,-2445,-726,1072,2814,4356,5566,6310,6501,6086,5089,3590,1737,-269,
-2209,-3890,-5123,-5806,-5894,-5403,-4410,-3022,-1368,413,2186,3807,5146,6066,6467,6281,5495,4164,2429,458,
-1536,-3342,-4765,-5665,-5978,-5700,-4881,-3625,-2056,-310,1477,3162,4620,5702,6308,6339,5774,4638,3033,1128,
-879,-2775,-4359,-5467,-6012,-5960,-5342,-4240,-2781,-1089,696,2442,3999,5240,6027,6273,5925,4989,3539,1726,
-270,-2227,-3941,-5240,-5999,-6164,-5756,-4827,-3501,-1888,-139,1621,3254,4622,5589,6054,5937,5218,3959,2264,
314,-1676,-3503,-4974,-5948,-6338,-6135,-5396,-4204,-2684,-972,793,2489,3964,5095,5750,5851,5358,4292,2746,
882,-1113,-3018,-4638,-5803,-6410,-6425,-5881,-4846,-3432,-1781,-20,1715,3287,4563,5411,5731,5466,4610,3238,
1477,-490,-2439,-4178,-5520,-6336,-6570,-6226,-5364,-4079,-2497,-757,1005,2660,4061,5090,5618,5579,4947,3761,
2130,230,-1752,-3589,-5088,-6107,-6549,-6405,-5719,-4567,-3080,-1382,390,2097,3613,4794,5520,5707,5296,4310,
2839,1022,-946,-2851,-4493,-5700,-6369,-6440,-5947,-4959,-3583,-1942,-176,1580,3196,4525,5443,5843,5657,4883,
3576,1860,-74,-2033,-3792,-5179,-6053,-6345,-6056,-5242,-3993,-2439,-703,1070,2754,4208,5295,5902,5950,5396,
4283,2705,829,-1144,-3002,-4555,-5639,-6161,-6096,-5470,-4376,-2919,-1235,537,2272,3829,5067,5868,6133,5805,
4892,3475,1687,-274,-2207,-3901,-5186,-5932,-6089,-5672,-4746,-3406,-1794,-34,1730,3371,4745,5728,6197,6093,
5399,4151,2484,561,-1406,-3207,-4657,-5614,-5993,-5796,-5054,-3870,-2354,-642,1136,2837,4335,5484,6166,6286,
5812,4765,3238,1381,-604,-2499,-4105,-5266,-5871,-5886,-5337,-4306,-2892,-1238,528,2272,3854,5141,6004,6338,
6087,5245,3879,2130,174,-1776,-3506,-4855,-5678,-5911,-5567,-4703,-3423,-1844,-102,1667,3324,4739,5766,6308,
6273,5644,4459,2830,923,-1054,-2893,-4400,-5427,-5889,-5752,-5073,-3938,-2451,-754,1022,2739,4259,5449,6188,
6368,5953,4958,3471,1638,-346,-2262,-3910,-5130,-5795,-5873,-5389,-4405,-3042,-1405,353,2105,3710,5032,5948,
6345,6151,5368,4050,2325,372,-1599,-3378,-4776,-5666,-5973,-5691,-4877,-3639,-2077,-340,1440,3119,4555,5640,
6229,6251,5675,4539,2939,1044,-944,-2811,-4371,-5458,-5985,-5918,-5298,-4201,-2751,-1064,717,2452,4001,5235,
6016,6260,5902,4958,3515,1705,-281,-2220,-3916,-5197,-5940,-6091,-5667,-4738,-3407,-1787,-31,1729,3362,4727,
5690,6143,6012,5292,4019,2322,378,-1607,-3421,-4872,-5824,-6191,-5970,-5211,-4009,-2483,-764,1017,2705,4178,
5299,5949,6032,5525,4450,2903,1036,-951,-2837,-4440,-5587,-6184,-6183,-5621,-4571,-3151,-1478,298,2041,3617,
4888,5721,6023,5729,4854,3465,1690,-275,-2223,-3945,-5269,-6064,-6275,-5909,-5027,-3729,-2146,-399,1368,3018,
4414,5422,5935,5868,5204,4000,2356,438,-1540,-3366,-4852,-5849,-6280,-6120,-5415,-4255,-2758,-1047,721,2424,
3928,5093,5794,5948,5507,4493,2996,1163,-815,-2720,-4355,-5546,-6194,-6246,-5728,-4717,-3322,-1677,93,1846,
3434,4738,5621,5980,5753,4938,3604,1876,-70,-2019,-3763,-5129,-5983,-6255,-5949,-5113,-3850,-2285,-545,1225,
2898,4328,5381,5955,5957,5359,4213,2607,718,-1256,-3103,-4633,-5684,-6176,-6072,-5418,-4294,-2823,-1134,648,
2366,3894,5101,5866,6086,5714,4764,3319,1526,-439,-2352,-4017,-5258,-5965,-6088,-5629,-4668,-3315,-1692,69,
1826,3443,4785,5725,6158,6011,5271,4006,2326,406,-1550,-3327,-4739,-5654,-6003,-5754,-4983,-3768,-2237,-514,
1258,2944,4403,5508,6141,6210,5697,4609,3060,1210,-755,-2621,-4186,-5296,-5854,-5835,-5255,-4196,-2781,-1123,
635,2359,3912,5157,5977,6271,5972,5097,3722,1963,18,-1910,-3613,-4915,-5696,-5893,-5518,-4635,-3337,-1757,
-26,1719,3352,4721,5707,6200,6118,5450,4241,2609,715,-1245,-3046,-4513,-5493,-5918,-5756,-5053,-3904,-2422,
-738,1022,2702,4187,5327,6009,6153,5700,4683,3194,1374,-584,-2470,-4079,-5255,-5888,-5942,-5434,-4443,-3076,
-1447,289,2020,3589,4876,5747,6100,5871,5056,3725,2007,74,-1865,-3598,-4950,-5793,-6055,-5752,-4927,-3677,
-2133,-417,1334,2980,4384,5420,5969,5965,5370,4223,2639,767,-1187,-3018,-4535,-5578,-6067,-5974,-5333,-4230,
-2776,-1105,647,2357,3879,5075,5828,6038,5664,4714,3270,1480,-471,-2375,-4024,-5256,-5957,-6079,-5634,-4691,
-3353,-1742,-1,1744,3355,4688,5623,6051,5907,5170,3901,2229,312,-1635,-3407,-4814,-5729,-6068,-5831,-5064,
-3859,-2332,-623,1141,2822,4284,5381,6014,6084,5569,4486,2945,1098,-857,-2721,-4289,-5402,-5963,-5943,-5367,
-4315,-2889,-1231,538,2271,3827,5079,5892,6179,5885,5000,3610,1855,-91,-2012,-3708,-5011,-5778,-5974,-5604,
-4714,-3417,-1835,-100,1653,3293,4678,5669,6168,6086,5421,4203,2559,654,-1311,-3120,-4585,-5567,-5976,-5810,
-5103,-3941,-2451,-753,1011,2703,4190,5333,6015,6150,5693,4671,3172,1345,-615,-2498,-4119,-5291,-5922,-5972,
-5460,-4455,-3072,-1437,320,2054,3631,4916,5777,6123,5878,5057,3715,1986,48,-1893,-3628,-4975,-5818,-6080,
-5768,-4936,-3678,-2119,-396,1365,3017,4427,5462,6004,5983,5372,4208,2597,710,-1255,-3089,-4602,-5639,-6108,
-6005,-5349,-4231,-2767,-1088,670,2375,3888,5073,5807,6005,5610,4644,3189,1385,-577,-2479,-4133,-5364,-6059,
-6166,-5710,-4756,-3396,-1775,-24,1725,3333,4659,5573,5971,5793,5027,3735,2042,118,-1828,-3593,-4995,-5895,
-6222,-5969,-5183,-3961,-2430,-706,1059,2736,4183,5270,5873,5925,5375,4271,2704,839,-1128,-2980,-4539,-5629,
-6171,-6126,-5526,-4453,-3016,-1348,418,2145,3694,4927,5723,5985,5665,4763,3355,1585,-364,-2287,-3972,-5253,
-6003,-6175,-5771,-4860,-3538,-1936,-187,1564,3189,4552,5519,5984,5881,5185,3955,2309,407,-1537,-3326,-4775,
-5730,-6120,-5931,-5203,-4029,-2521,-813,959,2651,4130,5261,5925,6032,5551,4508,2990,1158,-796,-2668,-4253,
-5401,-5998,-6009,-5473,-4449,-3053,-1407,352,2082,3645,4916,5761,6080,5828,4990,3640,1906,-26,-1960,-3670,
-4998,-5804,-6043,-5694,-4840,-3565,-1994,-263,1485,3129,4519,5533,6052,6010,5381,4206,2603,720,-1228,-3044,
-4526,-5543,-5997,-5865,-5190,-4056,-2576,-891,875,2571,4068,5236,5946,6111,5693,4707,3242,1441,-507,-2385,
-4003,-5205,-5864,-5951,-5470,-4500,-3141,-1520,228,1962,3555,4854,5749,6130,5934,5158,3859,2157,237,-1698,
-3441,-4814,-5691,-5987,-5707,-4902,-3670,-2130,-416,1339,2988,4409,5467,6044,6064,5505,4393,2833,972,-975,
-2807,-4338,-5409,-5922,-5862,-5249,-4169,-2735,-1072,684,2389,3916,5126,5896,6132,5786,4872,3466,1696,-236,
-2132,-3795,-5048,-5783,-5939,-5529,-4613,-3300,-1708,23,1769,3379,4722,5673,6118,5992,5291,4049,2400,505,
-1430,-3200,-4620,-5559,-5925,-5719,-4983,-3814,-2316,-625,1122,2791,4250,5360,6011,6105,5622,4579,3075,1251,
-684,-2543,-4120,-5246,-5842,-5853,-5308,-4291,-2896,-1260,485,2202,3749,5000,5831,6136,5866,5021,3673,1949,
30,-1884,-3576,-4887,-5687,-5911,-5573,-4720,-3458,-1902,-184,1557,3180,4562,5564,6076,6020,5383,4205,2604,
726,-1209,-3011,-4482,-5486,-5931,-5797,-5127,-4009,-2549,-877,872,2557,4040,5196,5900,6063,5643,4652,3192,
1395,-550,-2425,-4043,-5236,-5896,-5975,-5496,-4529,-3177,-1567,169,1897,3467,4758,5641,6015,5809,5026,3729,
2035,120,-1804,-3541,-4908,-5780,-6080,-5812,-5012,-3795,-2265,-553,1193,2847,4260,5313,5890,5897,5325,4200,
2628,770,-1178,-3015,-4535,-5604,-6120,-6054,-5445,-4364,-2938,-1279,469,2173,3693,4899,5665,5897,5542,4620,
3200,1434,-511,-2408,-4069,-5323,-6053,-6211,-5797,-4877,-3562,-1971,-235,1505,3111,4451,5397,5838,5704,4990,
3743,2087,188,-1750,-3523,-4939,-5873,-6242,-6030,-5290,-4106,-2604,-905,846,2525,3978,5090,5723,5813,5310,
4254,2735,905,-1043,-2888,-4458,-5575,-6160,-6157,-5606,-4574,-3180,-1531,214,1935,3487,4745,5569,5875,5596,
4740,3384,1653,-274,-2186,-3882,-5183,-5973,-6186,-5824,-4952,-3670,-2101,-374,1376,3008,4378,5372,5869,5806,
5157,3979,2368,499,-1435,-3221,-4679,-5667,-6102,-5950,-5266,-4125,-2649,-965,791,2481,3969,5115,5806,5960,
5521,4523,3054,1256,-676,-2543,-4141,-5310,-5948,-6007,-5507,-4522,-3155,-1535,211,1943,3517,4804,5674,6035,
5816,5018,3708,2011,99,-1819,-3542,-4886,-5722,-5999,-5701,-4878,-3636,-2092,-376,1373,3020,4425,5455,6016,
6016,5426,4297,2728,870,-1068,-2881,-4390,-5433,-5924,-5840,-5203,-4103,-2657,-985,777,2479,3990,5176,5921,
6121,5744,4800,3373,1597,-332,-2214,-3850,-5077,-5776,-5903,-5471,-4535,-3208,-1611,129,1863,3460,4777,5699,
6115,5963,5220,3961,2295,401,-1529,-3287,-4685,-5589,-5935,-5698,-4936,-3742,-2231,-529,1218,2879,4318,5400,
6015,6076,5554,4480,2946,1114,-826,-2671,-4219,-5323,-5883,-5864,-5289,-4242,-2827,-1186,564,2274,3812,5032,
5823,6092,5788,4907,3538,1805,-119,-2015,-3687,-4977,-5738,-5937,-5564,-4685,-3398,-1826,-105,1635,3256,4611,
5578,6058,5972,5297,4090,2463,587,-1341,-3119,-4553,-5521,-5921,-5754,-5049,-3899,-2419,-744,1000,2671,4137,
5260,5928,6055,5601,4590,3106,1309,-622,-2475,-4064,-5218,-5835,-5878,-5360,-4361,-2991,-1372,365,2073,3631,
4890,5734,6067,5830,5017,3703,2003,104,-1799,-3504,-4830,-5656,-5915,-5602,-4781,-3531,-1987,-284,1457,3088,
4471,5477,6007,5979,5378,4231,2659,815,-1104,-2898,-4376,-5392,-5863,-5763,-5123,-4027,-2586,-935,802,2482,
3970,5136,5866,6054,5673,4727,3296,1527,-392,-2259,-3882,-5091,-5774,-5879,-5432,-4493,-3165,-1574,142,1859,
3426,4722,5623,6017,5849,5106,3845,2193,310,-1595,-3327,-4707,-5598,-5921,-5682,-4924,-3735,-2233,-550,1176,
2821,4240,5303,5895,5940,5404,4334,2802,985,-936,-2752,-4276,-5358,-5904,-5875,-5307,-4262,-2866,-1245,488,
2180,3700,4910,5687,5945,5631,4751,3375,1649,-257,-2135,-3790,-5054,-5806,-5981,-5608,-4732,-3452,-1897,-194,
1524,3124,4461,5413,5874,5782,5112,3914,2303,444,-1467,-3231,-4655,-5606,-6008,-5834,-5137,-3996,-2523,-856,
874,2539,3985,5097,5753,5865,5406,4397,2915,1136,-780,-2610,-4176,-5315,-5921,-5956,-5447,-4461,-3103,-1491,
229,1931,3480,4735,5570,5896,5655,4847,3528,1837,-55,-1943,-3633,-4946,-5759,-6009,-5698,-4876,-3639,-2102,
-404,1323,2948,4322,5333,5856,5825,5221,4079,2508,669,-1248,-3032,-4506,-5519,-5984,-5874,-5237,-4137,-2693,
-1035,695,2374,3858,5018,5730,5913,5519,4570,3138,1376,-531,-2388,-4001,-5194,-5867,-5978,-5523,-4591,-3259,
-1664,60,1775,3359,4653,5550,5937,5758,5008,3741,2078,200,-1704,-3431,-4797,-5675,-5988,-5731,-4967,-3763,
-2249,-554,1183,2827,4243,5307,5890,5933,5396,4309,2780,957,-966,-2779,-4299,-5375,-5907,-5862,-5277,-4224,
-2816,-1170,570,2266,3787,4995,5773,6019,5693,4805,3419,1685,-215,-2094,-3736,-4992,-5733,-5900,-5509,-4617,
-3329,-1758,-39,1686,3283,4624,5575,6028,5917,5235,4024,2398,531,-1383,-3135,-4553,-5488,-5872,-5688,-4972,
-3823,-2344,-669,1065,2725,4177,5277,5930,6032,5562,4539,3049,1252,-666,-2503,-4067,-5200,-5797,-5818,-5291,
-4289,-2909,-1291,440,2141,3683,4926,5749,6052,5793,4963,3636,1937,39,-1850,-3526,-4837,-5644,-5881,-5558,
-4722,-3482,-1946,-244,1484,3098,4465,5456,5962,5909,5278,4120,2533,680,-1234,-3016,-4479,-5471,-5921,-5799,
-5145,-4040,-2593,-937,793,2458,3930,5071,5768,5925,5511,4539,3096,1324,-595,-2449,-4048,-5234,-5893,-5981,
-5513,-4559,-3222,-1629,96,1798,3349,4625,5493,5855,5651,4880,3602,1935,54,-1843,-3553,-4906,-5775,-6077,
-5809,-5026,-3818,-2298,-604,1129,2759,4157,5196,5756,5762,5199,4096,2561,742,-1171,-2965,-4453,-5509,-6014,
-5951,-5353,-4295,-2884,-1249,487,2166,3666,4860,5615,5842,5496,4588,3202,1464,-432,-2296,-3920,-5148,-5864,
-6013,-5607,-4703,-3403,-1833,-119,1597,3181,4499,5427,5861,5733,5037,3818,2200,343,-1558,-3292,-4681,-5599,
-5962,-5757,-5028,-3865,-2381,-706,1024,2672,4098,5186,5807,5888,5399,4367,2888,1100,-802,-2614,-4151,-5249,
-5824,-5838,-5298,-4287,-2917,-1300,423,2117,3638,4872,5679,5973,5692,4856,3519,1824,-63,-1934,-3591,-4868,
-5645,-5862,-5518,-4674,-3423,-1888,-199,1515,3113,4459,5436,5925,5864,5231,4069,2493,654,-1244,-3008,-4446,
-5426,-5855,-5720,-5053,-3940,-2499,-840,876,2532,3993,5115,5797,5941,5515,4545,3105,1344,-551,-2391,-3967,
-5125,-5771,-5844,-5368,-4413,-3077,-1491,220,1921,3466,4727,5589,5938,5724,4948,3667,2005,133,-1748,-3437,
-4770,-5612,-5901,-5625,-4840,-3633,-2125,-439,1276,2898,4285,5312,5867,5873,5308,4204,2666,850,-1054,-2846,
-4330,-5367,-5866,-5796,-5189,-4126,-2712,-1079,642,2315,3806,4981,5724,5935,5579,4668,3282,1556,-332,-2190,
-3803,-5029,-5734,-5886,-5477,-4577,-3283,-1717,-4,1707,3290,4596,5511,5935,5796,5084,3863,2241,385,-1506,
-3235,-4617,-5525,-5889,-5682,-4952,-3793,-2319,-649,1075,2719,4141,5221,5840,5912,5413,4370,2881,1091,-813,
-2621,-4152,-5255,-5820,-5827,-5290,-4278,-2905,-1293,428,2114,3639,4857,5659,5944,5665,4818,3486,1789,-93,
-1961,-3622,-4900,-5676,-5902,-5557,-4712,-3458,-1917,-226,1494,3091,4440,5412,5895,5826,5185,4009,2425,593,
-1303,-3060,-4493,-5463,-5891,-5754,-5089,-3971,-2526,-874,853,2515,3974,5097,5775,5916,5486,4501,3066,1298,
-603,-2437,-4010,-5168,-5808,-5878,-5397,-4433,-3089,-1498,219,1920,3474,4731,5585,5925,5708,4919,3632,1967,
94,-1787,-3477,-4804,-5643,-5926,-5646,-4852,-3637,-2122,-434,1295,2918,4304,5317,5863,5859,5277,4157,2624,
798,-1100,-2882,-4359,-5389,-5876,-5806,-5191,-4123,-2699,-1060,666,2345,3838,5005,5740,5942,5579,4653,3251,
1514,-382,-2234,-3845,-5055,-5751,-5887,-5466,-4554,-3249,-1675,33,1747,3322,4623,5527,5938,5788,5068,3834,
2213,355,-1537,-3263,-4640,-5540,-5893,-5678,-4938,-3772,-2278,-609,1125,2768,4191,5254,5860,5914,5407,4351,
2844,1052,-845,-2653,-4175,-5270,-5828,-5822,-5276,-4257,-2875,-1258,465,2153,3669,4886,5674,5942,5637,4776,
3426,1720,-170,-2033,-3685,-4950,-5711,-5911,-5559,-4697,-3438,-1898,-205,1512,3108,4447,5402,5877,5786,5129,
3947,2350,511,-1386,-3141,-4568,-5524,-5941,-5786,-5107,-3982,-2522,-863,861,2516,3963,5069,5721,5841,5388,
4388,2933,1166,-735,-2557,-4122,-5262,-5878,-5933,-5446,-4470,-3125,-1524,192,1889,3432,4681,5513,5842,5600,
4796,3490,1810,-63,-1938,-3617,-4925,-5739,-5996,-5693,-4882,-3660,-2137,-454,1270,2882,4253,5249,5777,5747,
5147,4017,2463,638,-1259,-3031,-4495,-5504,-5972,-5871,-5248,-4157,-2730,-1082,641,2307,3783,4932,5635,5820,
5425,4494,3083,1339,-548,-2381,-3982,-5172,-5852,-5963,-5529,-4602,-3286,-1705,10,1715,3280,4562,5448,5829,
5651,4907,3661,2019,170,-1707,-3409,-4766,-5643,-5962,-5724,-4973,-3789,-2303,-629,1088,2718,4123,5169,5756,
5798,5269,4202,2695,898,-993,-2785,-4292,-5354,-5889,-5858,-5290,-4257,-2866,-1240,474,2152,3656,4848,5611,
5858,5542,4672,3320,1614,-258,-2113,-3739,-4986,-5731,-5910,-5538,-4673,-3401,-1849,-150,1558,3141,4465,5404,
5850,5750,5078,3897,2306,474,-1399,-3129,-4531,-5467,-5860,-5689,-5000,-3869,-2409,-751,965,2614,4055,5149,
5793,5896,5438,4436,2981,1219,-665,-2475,-4013,-5133,-5733,-5764,-5253,-4275,-2917,-1324,387,2071,3597,4829,
5654,5967,5723,4916,3616,1948,87,-1770,-3426,-4727,-5522,-5770,-5455,-4641,-3410,-1889,-192,1517,3122,4481,
5465,5971,5928,5324,4193,2650,835,-1043,-2794,-4238,-5234,-5691,-5581,-4945,-3859,-2431,-789,927,2586,4050,
5184,5883,6050,5654,4707,3295,1561,-321,-2146,-3720,-4902,-5560,-5661,-5214,-4293,-2979,-1404,299,1988,3542,
4814,5689,6062,5877,5132,3879,2245,394,-1481,-3176,-4520,-5390,-5703,-5456,-4703,-3519,-2027,-357,1355,2972,
4362,5396,5960,5988,5448,4372,2865,1073,-814,-2593,-4090,-5149,-5675,-5648,-5075,-4048,-2669,-1052,662,2326,
3818,5001,5755,5987,5653,4774,3412,1696,-176,-2022,-3646,-4884,-5622,-5798,-5421,-4557,-3295,-1754,-68,1630,
3196,4505,5431,5871,5755,5081,3883,2287,446,-1437,-3167,-4562,-5502,-5882,-5714,-5017,-3893,-2440,-790,921,
2552,3974,5058,5689,5779,5310,4291,2834,1065,-818,-2623,-4160,-5280,-5877,-5909,-5398,-4427,-3078,-1483,225,
1907,3423,4651,5461,5759,5493,4677,3364,1689,-173,-2028,-3676,-4956,-5745,-5979,-5664,-4849,-3621,-2099,-421,
1291,2885,4240,5214,5716,5663,5046,3906,2355,536,-1342,-3089,-4523,-5503,-5947,-5834,-5177,-4087,-2656,-1010,
708,2363,3823,4949,5636,5796,5385,4434,3014,1280,-598,-2415,-3985,-5144,-5796,-5878,-5419,-4473,-3151,-1571,
140,1836,3388,4659,5519,5881,5683,4916,3656,2014,166,-1698,-3378,-4700,-5548,-5844,-5583,-4809,-3618,-2111,
-434,1284,2904,4291,5317,5872,5880,5322,4237,2715,917,-962,-2736,-4212,-5250,-5754,-5684,-5096,-4047,-2644,
-1019,698,2366,3847,5020,5759,5976,5622,4726,3351,1646,-225,-2059,-3674,-4885,-5600,-5753,-5359,-4469,-3189,
-1632,68,1775,3340,4636,5548,5967,5822,5120,3910,2303,470,-1407,-3121,-4497,-5399,-5766,-5567,-4856,-3706,
-2245,-589,1127,2756,4170,5238,5846,5918,5418,4385,2908,1139,-749,-2543,-4061,-5153,-5725,-5735,-5209,-4211,
-2853,-1252,452,2130,3629,4838,5625,5896,5612,4769,3447,1769,-94,-1946,-3592,-4858,-5634,-5852,-5525,-4687,
-3446,-1921,-240,1467,3043,4372,5318,5791,5715,5068,3913,2349,530,-1341,-3075,-4493,-5457,-5888,-5757,-5107,
-4003,-2571,-936,772,2413,3855,4959,5618,5752,5315,4340,2911,1165,-712,-2525,-4081,-5219,-5850,-5924,-5447,
-4498,-3175,-1600,96,1773,3296,4540,5384,5713,5491,4712,3439,1797,-52,-1915,-3580,-4890,-5720,-6002,-5729,
-4943,-3743,-2249,-575,1126,2724,4089,5085,5616,5602,5028,3927,2407,617,-1256,-3016,-4478,-5494,-5987,-5911,
-5313,-4257,-2857,-1238,468,2128,3598,4747,5464,5661,5290,4374,2994,1285,-577,-2401,-3983,-5178,-5863,-6001,
-5590,-4695,-3410,-1865,-179,1510,3058,4344,5234,5636,5487,4773,3566,1967,135,-1723,-3417,-4778,-5662,-6008,
-5796,-5066,-3913,-2450,-800,905,2525,3924,4969,5560,5619,5114,4079,2608,850,-1013,-2787,-4277,-5357,-5899,
-5891,-5356,-4350,-2986,-1389,317,1980,3476,4664,5440,5703,5406,4561,3238,1568,-274,-2099,-3718,-4960,-5701,
-5900,-5550,-4707,-3464,-1942,-265,1424,3004,4320,5268,5734,5645,5001,3841,2279,475,-1383,-3097,-4488,-5425,
-5823,-5671,-4998,-3888,-2451,-816,889,2522,3948,5040,5684,5806,5365,4387,2962,1230,-624,-2418,-3949,-5072,
-5674,-5730,-5241,-4278,-2947,-1365,331,2007,3532,4765,5586,5906,5669,4876,3594,1953,119,-1719,-3369,-4650,
-5456,-5709,-5414,-4624,-3414,-1909,-243,1457,3053,4408,5396,5908,5881,5286,4174,2648,856,-1010,-2755,-4195,
-5186,-5646,-5553,-4928,-3859,-2449,-826,878,2527,3986,5124,5819,6001,5616,4689,3292,1579,-284,-2104,-3674,
-4844,-5513,-5624,-5187,-4272,-2973,-1408,282,1972,3516,4790,5655,6031,5852,5117,3878,2263,431,-1422,-3106,
-4441,-5303,-5619,-5389,-4642,-3476,-2001,-342,1359,2974,4360,5394,5964,5994,5458,4396,2894,1118,-748,-2519,
-4003,-5049,-5577,-5542,-4977,-3956,-2579,-975,725,2387,3869,5043,5789,6023,5697,4829,3476,1789,-72,-1903,
-3510,-4738,-5471,-5638,-5271,-4408,-3148,-1610,69,1756,3320,4624,5541,5967,5852,5175,3985,2400,579,-1286,
-2993,-4379,-5300,-5677,-5507,-4818,-3693,-2247,-598,1101,2728,4148,5222,5837,5919,5447,4433,2977,1222,-649,
-2438,-3961,-5065,-5652,-5673,-5166,-4188,-2843,-1257,436,2103,3611,4824,5621,5909,5646,4823,3515,1845,-9,
-1850,-3500,-4777,-5557,-5791,-5470,-4653,-3429,-1915,-239,1453,3040,4374,5338,5816,5753,5129,3990,2432,627,
-1241,-2974,-4402,-5380,-5819,-5700,-5060,-3972,-2554,-919,780,2419,3864,4982,5648,5791,5374,4411,2989,1254,
-618,-2427,-3989,-5145,-5786,-5876,-5418,-4487,-3174,-1604,91,1766,3299,4548,5395,5739,5525,4762,3496,1852,
13,-1841,-3515,-4838,-5678,-5965,-5702,-4938,-3749,-2257,-593,1107,2707,4066,5077,5614,5611,5047,3960,2442,
655,-1213,-2970,-4439,-5474,-5968,-5910,-5323,-4280,-2889,-1271,431,2086,3562,4717,5439,5636,5276,4374,2999,
1291,-562,-2387,-3976,-5175,-5875,-6020,-5614,-4730,-3458,-1907,-224,1462,3013,4301,5199,5601,5455,4754,3547,
1944,120,-1738,-3434,-4795,-5686,-6036,-5828,-5106,-3960,-2500,-848,858,2471,3875,4928,5523,5580,5079,4050,
2580,817,-1040,-2821,-4319,-5397,-5951,-5948,-5406,-4405,-3041,-1439,264,1933,3427,4625,5401,5662,5366,4525,
3197,1530,-323,-2151,-3768,-5016,-5769,-5967,-5621,-4778,-3539,-2013,-331,1365,2944,4275,5223,5686,5600,4952,
3793,2228,414,-1446,-3169,-4569,-5510,-5916,-5764,-5089,-3977,-2535,-897,808,2446,3879,4977,5630,5750,5309,
4327,2898,1158,-709,-2504,-4043,-5172,-5777,-5831,-5345,-4377,-3040,-1460,251,1930,3456,4690,5516,5839,5599,
4808,3527,1882,38,-1804,-3456,-4747,-5555,-5817,-5522,-4724,-3518,-2006,-334,1373,2972,4328,5321,5838,5805,
5213,4103,2570,775,-1093,-2840,-4276,-5272,-5732,-5636,-5013,-3945,-2538,-914,792,2447,3901,5048,5739,5927,
5538,4614,3225,1511,-354,-2165,-3740,-4913,-5584,-5693,-5262,-4343,-3047,-1482,208,1896,3441,4707,5576,5957,
5776,5047,3812,2202,376,-1479,-3155,-4490,-5359,-5675,-5442,-4699,-3531,-2057,-396,1308,2924,4305,5342,5910,
5943,5408,4350,2863,1085,-781,-2545,-4024,-5070,-5593,-5563,-4997,-3975,-2602,-998,701,2363,3843,5021,5773,
6012,5688,4814,3470,1780,-75,-1905,-3514,-4731,-5459,-5632,-5253,-4393,-3136,-1600,80,1771,3332,4632,5553,
5983,5867,5192,4010,2431,615,-1246,-2952,-4336,-5261,-5645,-5472,-4781,-3655,-2211,-563,1140,2766,4174,5247,
5870,5961,5482,4471,3023,1270,-603,-2389,-3908,-5009,-5597,-5627,-5115,-4144,-2807,-1225,468,2137,3643,4858,
5662,5951,5690,4864,3566,1901,48,-1794,-3433,-4707,-5489,-5729,-5414,-4605,-3386,-1882,-211,1482,3064,4396,
5362,5853,5799,5176,4048,2498,699,-1168,-2906,-4333,-5309,-5757,-5645,-5008,-3928,-2514,-893,810,2452,3896,
5012,5693,5845,5438,4484,3075,1352,-511,-2319,-3874,-5032,-5677,-5772,-5326,-4397,-3093,-1537,157,1838,3375,
4629,5482,5844,5645,4886,3639,2008,172,-1679,-3353,-4672,-5514,-5815,-5557,-4796,-3618,-2134,-475,1221,2832,
4202,5219,5772,5780,5228,4145,2640,866,-1002,-2766,-4229,-5261,-5764,-5716,-5135,-4096,-2709,-1099,604,2262,
3741,4902,5632,5845,5500,4601,3241,1542,-316,-2142,-3735,-4944,-5643,-5800,-5404,-4524,-3252,-1711,-27,1660,
3224,4515,5422,5836,5696,4994,3787,2188,363,-1498,-3200,-4564,-5466,-5820,-5623,-4914,-3769,-2310,-665,1040,
2661,4066,5127,5724,5791,5293,4262,2791,1029,-849,-2632,-4143,-5229,-5790,-5799,-5268,-4269,-2909,-1312,387,
2059,3562,4760,5541,5810,5518,4669,3342,1666,-188,-2031,-3659,-4915,-5682,-5894,-5557,-4724,-3487,-1964,-289,
1415,2995,4326,5274,5742,5664,5017,3851,2283,468,-1404,-3138,-4546,-5503,-5919,-5780,-5115,-4011,-2578,-936,
765,2406,3844,4947,5607,5735,5298,4319,2884,1141,-732,-2539,-4087,-5225,-5844,-5911,-5435,-4480,-3149,-1569,
131,1815,3346,4589,5416,5745,5517,4733,3450,1804,-40,-1885,-3550,-4855,-5675,-5942,-5662,-4873,-3670,-2165,
-493,1213,2823,4188,5186,5712,5692,5106,3999,2464,670,-1198,-2950,-4399,-5401,-5871,-5785,-5178,-4112,-2701,
-1078,630,2288,3751,4895,5607,5792,5422,4496,3110,1394,-476,-2295,-3879,-5060,-5732,-5849,-5422,-4503,-3207,
-1642,52,1738,3292,4569,5444,5832,5659,4930,3698,2082,252,-1600,-3285,-4629,-5494,-5821,-5588,-4847,-3680,
-2199,-537,1172,2800,4192,5229,5801,5834,5304,4241,2747,977,-895,-2662,-4147,-5200,-5725,-5693,-5136,-4110,
-2733,-1123,577,2245,3734,4923,5676,5918,5595,4720,3374,1676,-189,-2018,-3629,-4856,-5582,-5755,-5377,-4515,
-3252,-1707,-25,1666,3236,4538,5460,5895,5781,5107,3923,2336,522,-1344,-3057,-4446,-5375,-5756,-5581,-4895,
-3767,-2311,-663,1042,2673,4089,5168,5788,5879,5404,4394,2940,1183,-684,-2475,-3999,-5106,-5692,-5726,-5224,
-4253,-2911,-1324,369,2044,3560,4777,5579,5875,5611,4793,3488,1825,-24,-1868,-3511,-4785,-5574,-5811,-5498,
-4687,-3464,-1962,-289,1402,2983,4327,5297,5787,5736,5121,3991,2445,640,-1225,-2962,-4396,-5373,-5819,-5702,
-5071,-3991,-2573,-941,756,2398,3843,4959,5637,5784,5375,4428,3019,1294,-568,-2371,-3927,-5084,-5732,-5827,
-5378,-4452,-3150,-1588,101,1778,3312,4566,5420,5771,5575,4814,3561,1932,97,-1753,-3419,-4740,-5578,-5876,
-5623,-4863,-3687,-2209,-552,1143,2745,4114,5129,5674,5679,5125,4052,2545,762,-1100,-2859,-4322,-5354,-5859,
-5803,-5220,-4184,-2798,-1189,509,2162,3632,4795,5521,5733,5386,4496,3133,1435,-424,-2243,-3836,-5038,-5740,
-5895,-5500,-4620,-3354,-1807,-127,1561,3120,4412,5313,5727,5589,4890,3689,2094,270,-1582,-3277,-4645,-5537,
-5896,-5692,-4985,-3847,-2390,-744,963,2582,3989,5056,5660,5733,5245,4219,2756,996,-871,-2648,-4151,-5235,
-5795,-5799,-5268,-4281,-2924,-1332,374,2044,3549,4753,5541,5819,5537,4703,3391,1721,-128,-1956,-3583,-4837,
-5604,-5818,-5478,-4646,-3412,-1888,-214,1487,3076,4404,5361,5837,5764,5135,3986,2428,626,-1238,-2960,-4368,
-5325,-5739,-5603,-4948,-3847,-2419,-783,923,2558,4006,5117,5777,5914,5484,4519,3096,1362,-504,-2298,-3844,
-4978,-5605,-5673,-5197,-4247,-2928,-1350,345,2026,3555,4797,5635,5975,5755,4978,3711,2073,229,-1615,-3271,
-4577,-5398,-5671,-5396,-4617,-3421,-1926,-261,1447,3047,4416,5418,5945,5932,5348,4247,2724,932,-936,-2687,
-4138,-5152,-5635,-5561,-4953,-3899,-2503,-882,821,2474,3937,5084,5797,5988,5615,4700,3311,1599,-271,-2092,
-3680,-4871,-5555,-5681,-5268,-4365,-3078,-1526,163,1854,3396,4677,5560,5948,5780,5050,3821,2211,375,-1486,
-3179,-4532,-5416,-5755,-5538,-4804,-3650,-2177,-516,1189,2809,4202,5243,5819,5858,5331,4275,2785,1008,-867,
-2648,-4142,-5207,-5751,-5733,-5183,-4172,-2806,-1205,499,2170,3659,4849,5614,5864,5543,4672,3326,1634,-235,
-2069,-3689,-4928,-5666,-5857,-5494,-4634,-3378,-1848,-166,1528,3098,4409,5341,5786,5679,5013,3833,2250,429,
-1440,-3165,-4556,-5493,-5891,-5725,-5041,-3920,-2476,-829,880,2513,3935,5019,5650,5749,5286,4284,2832,1081,
-789,-2581,-4111,-5226,-5822,-5862,-5366,-4395,-3060,-1474,229,1911,3426,4650,5464,5766,5509,4696,3398,1737,
-112,-1958,-3604,-4881,-5670,-5914,-5602,-4794,-3576,-2072,-399,1301,2888,4233,5211,5711,5667,5058,3927,2389,
588,-1281,-3023,-4453,-5436,-5883,-5775,-5136,-4050,-2631,-1004,704,2351,3802,4924,5602,5763,5356,4410,3008,
1281,-579,-2385,-3945,-5101,-5754,-5850,-5399,-4474,-3164,-1599,93,1779,3322,4581,5439,5798,5603,4846,3594,
1967,131,-1720,-3391,-4713,-5554,-5855,-5602,-4839,-3658,-2174,-512,1192,2797,4175,5192,5744,5758,5207,4126,
2625,843,-1027,-2794,-4266,-5295,-5798,-5748,-5160,-4121,-2730,-1120,579,2237,3709,4869,5607,5820,5477,4589,
3224,1528,-329,-2154,-3753,-4961,-5671,-5829,-5443,-4561,-3287,-1744,-60,1633,3191,4489,5389,5805,5669,4969,
3766,2175,350,-1504,-3206,-4576,-5475,-5837,-5648,-4940,-3808,-2351,-710,990,2613,4020,5080,5689,5764,5276,
4253,2786,1029,-838,-2623,-4131,-5217,-5786,-5799,-5276,-4289,-2935,-1355,340,2005,3506,4706,5489,5764,5487,
4655,3341,1679,-171,-2008,-3639,-4899,-5665,-5888,-5558,-4732,-3500,-1988,-320,1370,2945,4275,5226,5700,5625,
4995,3846,2294,493,-1365,-3089,-4497,-5455,-5878,-5750,-5104,-4014,-2588,-960,737,2373,3811,4918,5580,5711,
5290,4323,2907,1179,-685,-2480,-4022,-5160,-5782,-5852,-5384,-4440,-3127,-1558,129,1804,3329,4572,5409,5751,
5534,4767,3504,1871,40,-1802,-3458,-4757,-5578,-5853,-5578,-4805,-3610,-2114,-454,1245,2850,4213,5219,5745,
5740,5172,4079,2565,786,-1076,-2822,-4273,-5283,-5759,-5687,-5085,-4033,-2639,-1020,678,2334,3802,4957,5674,
5876,5519,4609,3234,1527,-327,-2136,-3720,-4904,-5588,-5719,-5304,-4412,-3128,-1578,106,1795,3348,4634,5526,
5924,5771,5062,3848,2247,428,-1429,-3121,-4476,-5356,-5699,-5487,-4762,-3606,-2140,-485,1214,2837,4236,5286,
5877,5934,5426,4384,2910,1147,-716,-2487,-3982,-5050,-5597,-5591,-5052,-4052,-2688,-1093,605,2271,3770,4967,
5741,6003,5703,4861,3526,1850,-4,-1836,-3456,-4700,-5449,-5646,-5298,-4457,-3214,-1692,-16,1675,3249,4571,
5512,5968,5884,5234,4070,2503,692,-1170,-2887,-4291,-5232,-5638,-5486,-4820,-3716,-2279,-641,1055,2689,4118,
5213,5856,5972,5525,4542,3107,1366,-502,-2297,-3834,-4961,-5574,-5628,-5145,-4192,-2865,-1286,409,2072,3600,
4832,5659,5973,5734,4935,3651,1995,148,-1696,-3349,-4641,-5442,-5702,-5405,-4614,-3416,-1915,-254,1440,3034,
4388,5377,5889,5854,5258,4144,2605,806,-1065,-2811,-4257,-5255,-5721,-5626,-5007,-3942,-2532,-909,795,2440,
3892,5028,5720,5891,5499,4562,3163,1436,-431,-2244,-3820,-4997,-5665,-5776,-5346,-4436,-3144,-1580,112,1795,
3339,4605,5473,5842,5654,4908,3664,2038,200,-1659,-3343,-4680,-5547,-5861,-5625,-4885,-3720,-2241,-586,1113,
2723,4105,5137,5699,5724,5188,4114,2613,828,-1047,-2820,-4304,-5356,-5874,-5839,-5273,-4249,-2876,-1268,434,
2086,3567,4739,5488,5712,5377,4502,3151,1451,-407,-2234,-3845,-5066,-5794,-5968,-5590,-4727,-3466,-1925,-242,
1450,3012,4317,5229,5658,5533,4850,3659,2072,252,-1611,-3319,-4694,-5607,-5979,-5804,-5108,-3982,-2537,-891,
811,2439,3856,4928,5551,5635,5156,4148,2691,930,-933,-2717,-4233,-5327,-5908,-5925,-5408,-4428,-3083,-1492,
203,1871,3376,4593,5388,5682,5413,4595,3290,1626,-225,-2062,-3697,-4961,-5739,-5964,-5634,-4811,-3583,-2066,
-389,1309,2892,4231,5191,5677,5609,4983,3845,2296,497,-1362,-3088,-4504,-5469,-5900,-5776,-5129,-4038,-2613,
-980,726,2370,3817,4930,5609,5752,5332,4377,2961,1231,-634,-2435,-3986,-5126,-5760,-5833,-5368,-4423,-3111,
-1538,159,1839,3366,4623,5472,5821,5612,4849,3590,1963,122,-1722,-3388,-4698,-5526,-5813,-5541,-4764,-3573,
-2083,-415,1286,2887,4255,5265,5810,5811,5249,4168,2658,880,-986,-2738,-4194,-5213,-5713,-5642,-5053,-4006,
-2618,-1001,703,2360,3833,4992,5719,5924,5570,4667,3297,1596,-263,-2079,-3664,-4859,-5552,-5699,-5296,-4409,
-3140,-1595,86,1774,3324,4609,5507,5919,5772,5069,3866,2267,444,-1413,-3109,-4465,-5358,-5711,-5508,-4794,
-3652,-2195,-554,1146,2761,4157,5213,5809,5868,5367,4335,2867,1110,-756,-2529,-4033,-5108,-5665,-5669,-5137,
-4144,-2793,-1207,492,2151,3644,4835,5609,5875,5580,4735,3417,1745,-103,-1938,-3557,-4802,-5558,-5767,-5427,
-4598,-3368,-1849,-185,1505,3076,4396,5341,5805,5723,5075,3917,2355,544,-1320,-3038,-4441,-5389,-5799,-5656,
-4996,-3894,-2469,-839,857,2490,3913,5008,5656,5781,5340,4365,2940,1204,-661,-2458,-4000,-5125,-5744,-5806,
-5329,-4380,-3059,-1489,200,1877,3401,4634,5465,5790,5559,4773,3495,1854,12,-1832,-3485,-4782,-5594,-5864,
-5580,-4795,-3596,-2102,-436,1262,2863,4221,5218,5741,5725,5140,4034,2512,720,-1147,-2899,-4344,-5349,-5822,
-5740,-5129,-4071,-2668,-1051,652,2308,3775,4917,5633,5820,5449,4524,3139,1432,-429,-2251,-3830,-5015,-5692,
-5819,-5400,-4496,-3200,-1648,51,1744,3297,4578,5458,5848,5686,4959,3731,2121,291,-1567,-3255,-4603,-5470,
-5802,-5582,-4844,-3685,-2211,-559,1145,2770,4169,5215,5799,5844,5324,4266,2779,1005,-869,-2646,-4134,-5193,
-5725,-5704,-5149,-4130,-2760,-1160,549,2211,3707,4890,5652,5899,5585,4719,3379,1690,-167,-2000,-3615,-4851,
-5583,-5772,-5407,-4550,-3295,-1760,-76,1618,3190,4501,5428,5872,5761,5096,3911,2331,513,-1350,-3067,-4452,
-5384,-5771,-5608,-4927,-3804,-2356,-717,992,2624,4051,5131,5762,5860,5395,4386,2937,1180,-690,-2485,-4016,
-5125,-5710,-5749,-5239,-4266,-2926,-1343,351,2022,3539,4759,5566,5870,5609,4795,3494,1833,-19,-1863,-3513,
-4790,-5586,-5825,-5515,-4708,-3484,-1971,-299,1405,2995,4343,5311,5804,5753,5135,4001,2457,652,-1218,-2957,
-4391,-5371,-5819,-5710,-5075,-3994,-2577,-943,761,2411,3865,4991,5672,5833,5420,4470,3057,1324,-547,-2356,
-3925,-5079,-5728,-5822,-5373,-4447,-3134,-1568,125,1812,3354,4615,5474,5834,5637,4885,3627,1997,156,-1702,
-3380,-4707,-5555,-5850,-5598,-4832,-3647,-2158,-492,1207,2817,4194,5210,5763,5773,5218,4139,2632,845,-1020,
-2785,-4256,-5292,-5800,-5751,-5172,-4136,-2745,-1129,576,2239,3719,4888,5620,5831,5483,4588,3217,1514,-348,
-2174,-3768,-4976,-5681,-5831,-5440,-4558,-3289,-1744,-58,1628,3187,4483,5389,5802,5668,4970,3764,2166,337,
-1528,-3229,-4600,-5495,-5855,-5654,-4944,-3800,-2339,-691,1009,2633,4039,5097,5698,5767,5274,4245,2779,1014,
-855,-2639,-4147,-5235,-5799,-5804,-5275,-4276,-2914,-1318,381,2050,3551,4754,5534,5803,5511,4671,3348,1672,
-181,-2013,-3636,-4891,-5648,-5860,-5522,-4690,-3455,-1930,-253,1440,3026,4352,5304,5771,5693,5053,3900,2331,
522,-1346,-3070,-4482,-5435,-5848,-5704,-5039,-3936,-2503,-866,839,2473,3908,5013,5667,5797,5365,4393,2966,
1224,-642,-2438,-3986,-5121,-5736,-5802,-5324,-4375,-3051,-1471,224,1900,3430,4672,5506,5836,5608,4833,3563,
1918,80,-1765,-3424,-4724,-5545,-5817,-5536,-4752,-3555,-2057,-390,1313,2914,4276,5277,5804,5789,5214,4111,
2589,798,-1069,-2813,-4264,-5273,-5744,-5665,-5059,-4009,-2614,-995,704,2355,3822,4970,5688,5880,5513,4604,
3225,1514,-340,-2158,-3742,-4926,-5611,-5739,-5319,-4427,-3136,-1587,100,1786,3329,4609,5494,5886,5727,5009,
3793,2185,359,-1495,-3180,-4530,-5407,-5741,-5527,-4797,-3646,-2181,-529,1171,2784,4180,5225,5811,5857,5338,
4292,2813,1044,-822,-2596,-4087,-5150,-5693,-5678,-5130,-4126,-2762,-1165,532,2193,3682,4868,5634,5890,5582,
4722,3388,1702,-157,-1987,-3605,-4846,-5588,-5778,-5420,-4573,-3327,-1798,-122,1569,3138,4452,5384,5834,5732,
5069,3900,2323,506,-1357,-3078,-4471,-5414,-5814,-5661,-4982,-3876,-2433,-792,910,2544,3966,5058,5698,5799,
5342,4343,2895,1143,-730,-2532,-4063,-5185,-5790,-5834,-5345,-4383,-3054,-1473,223,1899,3416,4646,5465,5776,
5525,4721,3428,1771,-86,-1932,-3588,-4877,-5683,-5940,-5641,-4842,-3632,-2127,-455,1245,2838,4192,5177,5685,
5644,5046,3920,2380,576,-1297,-3046,-4485,-5483,-5943,-5843,-5219,-4147,-2738,-1109,597,2249,3705,4843,5536,
5708,5310,4371,2972,1245,-626,-2435,-4009,-5176,-5842,-5945,-5509,-4591,-3294,-1727,-36,1652,3193,4467,5342,
5718,5532,4791,3552,1928,89,-1773,-3455,-4787,-5647,-5955,-5710,-4955,-3778,-2296,-632,1074,2689,4071,5102,
5665,5690,5147,4081,2586,810,-1060,-2823,-4300,-5344,-5864,-5822,-5249,-4214,-2831,-1218,490,2155,3641,4813,
5558,5790,5454,4572,3218,1523,-335,-2162,-3759,-4971,-5687,-5848,-5460,-4585,-3316,-1775,-87,1613,3179,4484,
5401,5829,5702,5015,3820,2233,407,-1453,-3161,-4532,-5435,-5803,-5613,-4904,-3764,-2306,-653,1055,2684,4096,
5163,5783,5867,5383,4369,2910,1151,-720,-2504,-4021,-5114,-5687,-5703,-5178,-4184,-2829,-1232,478,2155,3664,
4877,5672,5951,5672,4839,3526,1857,6,-1832,-3465,-4728,-5499,-5721,-5396,-4565,-3334,-1817,-132,1568,3155,
4487,5449,5931,5867,5231,4082,2525,717,-1153,-2891,-4306,-5270,-5701,-5567,-4915,-3818,-2392,-757,948,2591,
4034,5146,5819,5960,5539,4572,3149,1411,-462,-2271,-3826,-4973,-5606,-5685,-5217,-4272,-2948,-1377,322,2004,
3538,4778,5616,5959,5743,4968,3707,2071,226,-1625,-3290,-4607,-5436,-5723,-5450,-4676,-3484,-1990,-326,1378,
2988,4352,5357,5896,5890,5317,4216,2693,904,-967,-2725,-4177,-5198,-5681,-5614,-5012,-3960,-2565,-952,750,
2402,3871,5021,5741,5943,5579,4670,3291,1583,-281,-2101,-3694,-4886,-5576,-5712,-5297,-4400,-3117,-1569,117,
1798,3350,4628,5517,5914,5761,5048,3833,2228,403,-1455,-3150,-4504,-5392,-5736,-5523,-4799,-3643,-2179,-529,
1174,2792,4186,5226,5811,5863,5351,4306,2832,1067,-797,-2570,-4065,-5132,-5678,-5672,-5131,-4130,-2769,-1179,
517,2175,3665,4854,5629,5886,5587,4736,3403,1722,-134,-1966,-3590,-4834,-5583,-5777,-5427,-4583,-3344,-1820,
-154,1536,3101,4413,5349,5804,5711,5059,3894,2332,520,-1340,-3063,-4465,-5409,-5813,-5666,-5000,-3898,-2466,
-836,856,2487,3914,5000,5644,5761,5310,4330,2893,1154,-711,-2503,-4037,-5163,-5776,-5834,-5356,-4402,-3081,
-1516,176,1848,3365,4595,5415,5736,5501,4708,3425,1781,-60,-1900,-3553,-4846,-5655,-5912,-5626,-4840,-3639,
-2148,-491,1199,2792,4145,5129,5646,5623,5039,3931,2405,617,-1246,-2994,-4436,-5432,-5904,-5817,-5208,-4146,
-2742,-1127,569,2219,3671,4809,5509,5687,5311,4387,2997,1292,-568,-2371,-3942,-5117,-5786,-5902,-5479,-4574,
-3287,-1732,-51,1629,3177,4450,5324,5705,5538,4812,3581,1972,145,-1703,-3387,-4722,-5586,-5909,-5679,-4943,
-3783,-2307,-655,1043,2657,4042,5081,5653,5690,5166,4111,2623,855,-1011,-2774,-4263,-5314,-5844,-5813,-5258,
-4235,-2860,-1253,443,2104,3592,4772,5523,5767,5447,4582,3237,1552,-300,-2125,-3736,-4957,-5686,-5867,-5497,
-4642,-3381,-1843,-161,1531,3107,4415,5344,5780,5669,5001,3820,2235,422,-1439,-3151,-4535,-5458,-5838,-5662,
-4977,-3848,-2398,-750,954,2586,4008,5095,5721,5824,5361,4357,2909,1156,-713,-2504,-4031,-5138,-5730,-5758,
-5252,-4277,-2935,-1342,358,2036,3554,4779,5590,5889,5631,4823,3521,1861,16,-1826,-3467,-4745,-5536,-5772,
-5459,-4645,-3426,-1913,-236,1463,3053,4402,5379,5878,5830,5222,4090,2541,739,-1131,-2869,-4300,-5277,-5721,
-5610,-4972,-3894,-2476,-850,852,2498,3953,5075,5764,5922,5521,4575,3162,1433,-434,-2244,-3810,-4974,-5621,
-5712,-5261,-4332,-3021,-1453,239,1920,3457,4715,5571,5923,5728,4973,3722,2093,253,-1600,-3270,-4601,-5448,
-5750,-5498,-4738,-3564,-2083,-420,1280,2885,4258,5275,5824,5830,5269,4189,2677,888,-982,-2746,-4218,-5248,
-5755,-5702,-5121,-4084,-2696,-1088,611,2262,3736,4897,5629,5839,5490,4593,3226,1521,-349,-2172,-3772,-4983,
-5690,-5841,-5446,-4563,-3292,-1747,-61,1622,3173,4461,5359,5768,5625,4926,3722,2123,297,-1564,-3265,-4634,
-5541,-5902,-5703,-4991,-3849,-2385,-731,973,2594,3998,5060,5658,5719,5223,4192,2726,965,-904,-2680,-4177,
-5267,-5824,-5828,-5299,-4308,-2952,-1363,341,2004,3505,4712,5500,5772,5487,4647,3332,1655,-193,-2030,-3654,
-4907,-5665,-5876,-5537,-4701,-3465,-1941,-265,1430,3007,4332,5287,5761,5686,5055,3903,2351,544,-1323,-3047,
-4452,-5406,-5824,-5683,-5022,-3921,-2491,-856,848,2483,3915,5020,5677,5806,5376,4410,2994,1263,-600,-2392,
-3934,-5063,-5687,-5759,-5285,-4339,-3022,-1450,243,1921,3441,4688,5523,5859,5635,4861,3589,1952,112,-1732,
-3386,-4684,-5502,-5774,-5493,-4713,-3520,-2031,-373,1321,2913,4267,5267,5795,5782,5208,4111,2596,805,-1057,
-2809,-4258,-5269,-5749,-5671,-5066,-4014,-2621,-1000,692,2337,3799,4940,5653,5843,5473,4563,3185,1477,-378,
-2195,-3773,-4958,-5644,-5773,-5359,-4461,-3178,-1632,51,1735,3279,4552,5439,5829,5666,4947,3727,2123,292,
-1556,-3243,-4589,-5467,-5807,-5588,-4860,-3708,-2243,-593,1105,2720,4112,5158,5745,5794,5285,4240,2760,994,
-878,-2654,-4145,-5211,-5752,-5735,-5187,-4179,-2811,-1216,482,2142,3632,4822,5591,5844,5537,4684,3353,1678,
-174,-2007,-3620,-4865,-5607,-5808,-5453,-4607,-3363,-1836,-153,1541,3118,4434,5368,5825,5732,5073,3908,2339,
526,-1336,-3056,-4451,-5387,-5795,-5639,-4965,-3855,-2424,-785,917,2551,3976,5072,5718,5831,5380,4391,2956,
1210,-657,-2451,-3984,-5110,-5715,-5769,-5282,-4322,-2995,-1417,278,1950,3474,4702,5526,5846,5610,4815,3535,
1886,42,-1805,-3461,-4753,-5561,-5829,-5535,-4740,-3533,-2031,-367,1335,2926,4281,5270,5780,5750,5158,4035,
2501,709,-1159,-2905,-4345,-5341,-5809,-5718,-5102,-4033,-2628,-1006,700,2350,3810,4944,5645,5824,5433,4498,
3112,1389,-479,-2294,-3869,-5044,-5715,-5830,-5395,-4481,-3180,-1625,67,1754,3303,4569,5442,5813,5636,4895,
3656,2037,201,-1657,-3341,-4678,-5544,-5866,-5632,-4884,-3714,-2235,-572,1135,2751,4140,5168,5736,5769,5231,
4160,2673,888,-980,-2751,-4232,-5283,-5804,-5777,-5209,-4187,-2800,-1193,513,2181,3671,4848,5603,5838,5514,
4634,3280,1584,-278,-2112,-3719,-4945,-5670,-5843,-5468,-4599,-3333,-1793,-108,1591,3161,4469,5388,5825,5711,
5034,3845,2266,445,-1422,-3139,-4525,-5448,-5833,-5659,-4961,-3834,-2376,-732,981,2617,4041,5118,5744,5831,
5363,4351,2889,1135,-732,-2528,-4051,-5161,-5748,-5781,-5275,-4296,-2950,-1360,343,2020,3536,4759,5565,5861,
5593,4773,3466,1799,-57,-1901,-3548,-4824,-5608,-5842,-5529,-4708,-3485,-1974,-304,1397,2990,4334,5302,5800,
5743,5125,3986,2429,623,-1249,-2993,-4423,-5400,-5845,-5728,-5087,-4000,-2572,-936,770,2417,3865,4983,5655,
5803,5388,4426,3013,1282,-592,-2398,-3962,-5116,-5759,-5847,-5397,-4459,-3147,-1572,124,1810,3350,4605,5455,
5809,5597,4833,3568,1926,81,-1774,-3448,-4765,-5600,-5889,-5623,-4850,-3661,-2166,-504,1206,2812,4186,5195,
5742,5742,5178,4087,2570,777,-1097,-2859,-4327,-5353,-5849,-5782,-5193,-4138,-2741,-1117,588,2246,3722,4879,
5600,5811,5447,4553,3178,1469,-395,-2214,-3814,-5015,-5719,-5861,-5461,-4570,-3283,-1727,-33,1661,3222,4510,
5407,5811,5661,4952,3741,2133,309,-1550,-3248,-4611,-5507,-5853,-5649,-4932,-3781,-2318,-665,1038,2661,4070,
5124,5727,5793,5294,4262,2785,1019,-853,-2635,-4145,-5220,-5780,-5778,-5244,-4241,-2878,-1276,422,2092,3594,
4793,5569,5837,5547,4709,3388,1711,-140,-1980,-3606,-4861,-5627,-5832,-5491,-4657,-3414,-1884,-204,1492,3071,
4398,5348,5811,5734,5091,3940,2376,569,-1289,-3012,-4422,-5373,-5789,-5647,-4988,-3886,-2451,-811,893,2535,
3975,5077,5733,5857,5425,4452,3023,1287,-577,-2379,-3918,-5053,-5671,-5729,-5249,-4296,-2965,-1391,305,1982,
3505,4743,5577,5907,5686,4907,3633,1989,148,-1695,-3351,-4657,-5468,-5741,-5452,-4665,-3460,-1960,-280,1417,
3019,4380,5373,5893,5871,5292,4187,2667,876,-987,-2733,-4181,-5190,-5667,-5582,-4972,-3910,-2504,-879,825,
2479,3944,5083,5793,5978,5605,4682,3295,1582,-281,-2097,-3673,-4863,-5537,-5660,-5237,-4340,-3048,-1491,200,
1881,3434,4708,5593,5980,5817,5094,3864,2252,421,-1441,-3134,-4483,-5365,-5696,-5471,-4742,-3579,-2104,-449,
1255,2868,4260,5301,5876,5922,5403,4350,2866,1092,-780,-2554,-4052,-5121,-5662,-5652,-5102,-4096,-2733,-1131,
572,2231,3724,4912,5675,5923,5606,4748,3408,1712,-143,-1981,-3602,-4847,-5597,-5790,-5433,-4589,-3344,-1816,
-140,1550,3116,4427,5360,5813,5711,5057,3880,2302,478,-1394,-3118,-4517,-5466,-5860,-5709,-5031,-3924,-2485,
-846,857,2485,3908,4997,5637,5741,5287,4289,2851,1099,-772,-2571,-4108,-5234,-5843,-5890,-5396,-4443,-3107,
-1524,174,1850,3367,4597,5417,5725,5473,4673,3380,1723,-128,-1973,-3620,-4903,-5702,-5951,-5651,-4853,-3639,
-2131,-460,1245,2837,4193,5173,5683,5645,5042,3918,2384,578,-1289,-3034,-4468,-5457,-5913,-5813,-5172,-4096,
-2678,-1043,668,2320,3778,4908,5604,5774,5377,4441,3036,1316,-552,-2363,-3933,-5097,-5757,-5854,-5409,-4476,
-3167,-1597,106,1797,3347,4621,5486,5855,5669,4916,3670,2042,205,-1650,-3329,-4654,-5509,-5816,-5569,-4808,
-3628,-2133,-463,1249,2867,4255,5284,5846,5864,5318,4245,2737,951,-921,-2691,-4168,-5211,-5724,-5666,-5090,
-4052,-2661,-1044,668,2333,3814,4989,5732,5957,5615,4729,3368,1671,-190,-2019,-3633,-4849,-5569,-5732,-5348,
-4469,-3199,-1650,44,1747,3311,4607,5524,5949,5813,5120,3921,2324,499,-1371,-3084,-4460,-5368,-5743,-5553,
-4851,-3711,-2258,-608,1103,2730,4144,5216,5829,5907,5416,4392,2924,1163,-718,-2509,-4027,-5122,-5700,-5720,
-5202,-4212,-2860,-1266,434,2110,3607,4818,5609,5885,5608,4773,3458,1789,-68,-1917,-3562,-4831,-5610,-5836,
-5514,-4683,-3451,-1931,-252,1449,3025,4356,5305,5782,5710,5069,3921,2364,551,-1316,-3048,-4467,-5435,-5871,
-5745,-5101,-4004,-2578,-944,758,2400,3842,4947,5609,5746,5315,4344,2920,1179,-693,-2504,-4060,-5200,-5834,
-5913,-5441,-4497,-3178,-1606,86,1762,3285,4529,5376,5707,5490,4714,3445,1805,-38,-1898,-3563,-4875,-5707,
-5993,-5724,-4941,-3744,-2254,-581,1118,2715,4080,5077,5611,5600,5028,3930,2413,626,-1245,-3004,-4467,-5484,
-5978,-5906,-5310,-4257,-2859,-1241,462,2122,3592,4744,5461,5657,5289,4374,2997,1288,-571,-2393,-3975,-5171,
-5859,-5998,-5589,-4695,-3410,-1866,-181,1507,3055,4342,5232,5633,5486,4772,3568,1967,137,-1722,-3415,-4776,
-5661,-6006,-5795,-5066,-3913,-2449,3,12,-158,-67,246,642,1316,1816,2151,2091,1305,46,-1767,-3817,
-5667,-7047,-7526,-6959,-5234,-2694,138,2772,4520,5107,4476,2746,457,-2048,-4231,-5849,-6567,-6261,-5179,-3439,
-1400,638,2631,4250,5256,5413,4446,2819,874,-1023,-2557,-3677,-3928,-3188,-1878,-35,2241,4796,6835,7668,
7558,6721,5179,3544,1898,286,-1231,-2106,-2030,-1211,332,2512,4472,5516,5399,4708,3890,2794,1198,-837,
-2880,-4527,-5472,-5666,-5208,-4026,-2228,-386,877,1135,1031,1182,1243,625,-813,-2733,-4796,-6692,-7683,-7435,
-6058,-3922,-1541,625,2420,3784,4500,4284,3090,910,-1766,-4230,-5830,-6250,-5588,-3995,-1780,647,3067,5213,
6616,6878,5823,3800,1466,-882,-2965,-4597,-5297,-4844,-3490,-1634,337,2063,3553,4730,5335,5169,4248,2700,
877,-904,-2292,-3195,-3527,-3128,-2176,-717,1227,3434,5358,6540,6625,5787,4178,2088,-37,-1954,-3455,-4092,
-3724,-2554,-926,870,2663,4199,5168,5504,5092,3940,2002,-421,-2786,-4713,-5828,-5821,-4759,-3112,-1158,852,
2641,3868,4219,3656,2356,384,-1720,-3569,-5042,-5965,-6215,-5618,-4148,-2096,168,2134,3491,4255,4265,3482,
2056,129,-1792,-3314,-4305,-4509,-3968,-2769,-916,1254,3407,5132,6015,6036,5249,3758,1782,-346,-2305,-3864,
-4715,-4595,-3550,-1835,249,2360,4130,5336,5687,5067,3656,1643,-631,-2743,-4425,-5258,-5164,-4143,-2327,-107,
2110,4040,5302,5797,5359,4055,2125,-117,-2279,-3942,-4903,-5035,-4372,-3021,-1106,1047,2969,4426,5124,4960,
3967,2256,73,-2264,-4378,-5831,-6374,-5928,-4606,-2651,-372,1860,3573,4514,4555,3618,1968,-249,-2580,-4612,
-6038,-6607,-6212,-5000,-3124,-916,1294,3164,4404,4735,4188,2790,866,-1265,-3276,-4774,-5533,-5506,-4546,-2830,
-653,1641,3624,5035,5686,5447,4377,2615,443,-1756,-3634,-4775,-5044,-4424,-2992,-941,1279,3331,4836,5628,
5528,4575,2863,753,-1470,-3391,-4739,-5214,-4780,-3509,-1660,484,2562,4282,5351,5546,4893,3404,1317,-975,
-3114,-4748,-5604,-5621,-4728,-3126,-1080,1095,3012,4333,4838,4382,3074,1114,-1197,-3446,-5227,-6268,-6339,-5520,
-3892,-1757,549,2709,4343,5148,5022,3979,2234,119,-2010,-3767,-4819,-5011,-4333,-2887,-919,1274,3333,4918,
5813,5795,4906,3261,1135,-1093,-3027,-4388,-4929,-4651,-3598,-1913,116,2186,3934,5020,5280,4647,3198,1163,
-1155,-3344,-5032,-5961,-5969,-5099,-3501,-1438,720,2651,3981,4497,4042,2729,723,-1576,-3818,-5586,-6583,-6650,
-5802,-4146,-2024,273,2352,3915,4748,4659,3658,1959,-151,-2263,-4052,-5215,-5515,-4936,-3584,-1629,582,2713,
4412,5408,5597,4875,3383,1382,-799,-2793,-4230,-4891,-4607,-3445,-1582,649,2932,4845,6124,6536,6016,4667,
2703,459,-1655,-3321,-4230,-4242,-3388,-1800,258,2427,4351,5729,6318,5986,4753,2863,588,-1703,-3581,-4768,
-5072,-4490,-3120,-1191,929,2879,4324,5031,4870,3818,2029,-157,-2430,-4420,-5791,-6297,-5898,-4708,-2919,-827,
1234,2971,4026,4250,3565,2132,134,-2051,-4037,-5494,-6151,-5906,-4748,-2934,-727,1527,3468,4814,5306,4873,
3552,1613,-631,-2797,-4481,-5427,-5468,-4631,-3020,-923,1326,3340,4863,5584,5391,4311,2509,326,-1878,-3751,
-4907,-5188,-4560,-3113,-1103,1146,3271,4912,5830,5868,5002,3356,1252,-955,-2922,-4288,-4856,-4537,-3389,-1599,
515,2660,4467,5632,5947,5358,3932,1899,-379,-2513,-4159,-5039,-5055,-4177,-2582,-532,1638,3558,4898,5455,
5074,3858,1980,-231,-2451,-4226,-5311,-5500,-4797,-3298,-1291,972,3048,4647,5508,5446,4464,2745,578,-1663,
-3579,-4874,-5283,-4794,-3483,-1571,630,2780,4500,5518,5670,4852,3254,1120,-1166,-3250,-4768,-5485,-5275,-4214,
-2483,-379,1751,3553,4721,5042,4463,3063,1049,-1258,-3457,-5167,-6128,-6180,-5342,-3755,-1704,486,2458,3894,
4529,4268,3125,1265,-990,-3232,-5090,-6235,-6483,-5827,-4346,-2297,-34,2077,3720,4593,4569,3612,1921,-217,
-2428,-4354,-5648,-6086,-5597,-4271,-2328,-50,2190,4015,5131,5379,4713,3225,1167,-1099,-3167,-4683,-5406,-5200,
-4122,-2329,-157,2086,4033,5360,5859,5426,4152,2252,27,-2108,-3773,-4712,-4750,-3909,-2304,-191,2083,4129,
5657,6392,6194,5088,3284,1105,-1105,-2954,-4109,-4401,-3771,-2321,-294,2003,4206,5899,6871,6920,6055,4396,
2255,-6,-1991,-3385,-3928,-3531,-2325,-476,1686,3866,5647,6750,6980,6304,4785,2703,379,-1805,-3438,-4309,
-4286,-3353,-1738,308,2455,4333,5629,6077,5602,4265,2260,-71,-2350,-4188,-5318,-5535,-4869,-3405,-1429,737,
2710,4179,4870,4677,3543,1703,-577,-2909,-4892,-6216,-6662,-6199,-4926,-3033,-868,1203,2855,3797,3858,3023,
1372,-805,-3105,-5181,-6677,-7347,-7091,-5966,-4192,-2033,144,1993,3182,3507,2938,1545,-445,-2687,-4813,-6437,
-7306,-7262,-6350,-4692,-2573,-347,1661,3099,3717,3421,2229,384,-1843,-4045,-5838,-6894,-7085,-6353,-4833,-2782,
-504,1614,3251,4127,4089,3155,1463,-647,-2846,-4730,-5990,-6359,-5868,-4519,-2567,-304,1890,3699,4784,5021,
4328,2856,843,-1350,-3313,-4738,-5375,-5096,-3981,-2165,8,2245,4189,5503,5968,5518,4246,2315,125,-1994,
-3612,-4484,-4492,-3606,-1954,143,2386,4434,5964,6716,6546,5502,3790,1641,-496,-2296,-3418,-3679,-3032,-1620,
400,2639,4766,6418,7329,7352,6476,4804,2685,411,-1571,-2976,-3547,-3208,-2035,-256,1888,3970,5701,6791,
7009,6332,4831,2729,462,-1657,-3254,-4085,-4005,-3062,-1401,647,2784,4665,5946,6418,5963,4655,2718,461,
-1760,-3510,-4578,-4766,-4055,-2575,-600,1571,3549,5050,5763,5602,4538,2743,531,-1706,-3643,-4892,-5312,-4803,
-3498,-1606,577,2690,4343,5314,5388,4548,2915,767,-1499,-3542,-5002,-5652,-5386,-4287,-2529,-425,1705,3517,
4665,4958,4365,2905,917,-1370,-3495,-5159,-6054,-6089,-5251,-3693,-1682,423,2301,3642,4177,3783,2557,664,
-1592,-3815,-5652,-6801,-7074,-6464,-5010,-3026,-802,1281,2893,3757,3716,2774,1090,-1049,-3267,-5167,-6426,-6851,
-6358,-5024,-3079,-827,1390,3215,4339,4600,3943,2499,499,-1674,-3665,-5099,-5752,-5534,-4419,-2631,-485,1745,
3653,4952,5406,4950,3638,1703,-549,-2688,-4375,-5333,-5376,-4550,-2975,-873,1340,3349,4833,5509,5258,4106,
2273,43,-2200,-4063,-5233,-5559,-4953,-3579,-1639,579,2672,4294,5208,5209,4301,2645,491,-1750,-3740,-5129,
-5677,-5317,-4118,-2281,-115,2037,3826,4943,5209,4551,3088,1046,-1207,-3288,-4829,-5595,-5421,-4353,-2591,-406,
1865,3864,5274,5866,5503,4292,2430,261,-1886,-3582,-4516,-4579,-3757,-2152,-57,2213,4301,5842,6624,6500,
5447,3703,1519,-692,-2590,-3845,-4229,-3710,-2387,-463,1719,3803,5460,6377,6425,5576,3897,1728,-598,-2681,
-4190,-4895,-4662,-3589,-1827,268,2394,4183,5319,5581,4899,3397,1312,-1068,-3251,-4928,-5845,-5851,-4972,-3333,
-1255,929,2895,4271,4828,4460,3242,1345,-870,-3066,-4818,-5858,-6010,-5260,-3724,-1657,610,2717,4349,5216,
5184,4247,2576,463,-1722,-3566,-4822,-5198,-4679,-3323,-1392,863,3049,4818,5857,6043,5300,3751,1657,-611,
-2662,-4147,-4856,-4616,-3533,-1755,365,2552,4420,5649,6000,5444,4037,2001,-320,-2496,-4212,-5173,-5241,-4416,
-2848,-833,1324,3240,4624,5210,4865,3654,1786,-496,-2757,-4648,-5828,-6143,-5542,-4162,-2197,-22,2030,3608,
4474,4406,3468,1769,-371,-2625,-4564,-5917,-6397,-5968,-4695,-2804,-547,1652,3494,4644,4920,4272,2832,826,
-1351,-3352,-4821,-5502,-5280,-4176,-2377,-181,2077,4045,5392,5921,5505,4252,2384,173,-1956,-3614,-4573,-4654,
-3877,-2314,-270,1917,3906,5360,6006,5774,4616,2774,533,-1739,-3676,-4925,-5311,-4820,-3527,-1649,496,2529,
4111,4995,4999,4061,2375,173,-2110,-4152,-5622,-6216,-5929,-4825,-3038,-906,1226,3001,4127,4423,3828,2379,
378,-1870,-3946,-5513,-6334,-6240,-5267,-3590,-1457,759,2716,4097,4682,4327,3165,1308,-867,-2999,-4709,-5701,
-5815,-5041,-3496,-1423,833,2929,4509,5348,5287,4315,2629,497,-1680,-3539,-4775,-5163,-4668,-3346,-1448,751,
2870,4568,5573,5692,4922,3363,1269,-969,-3035,-4505,-5209,-5009,-3967,-2229,-142,1981,3784,4961,5291,4707,
3301,1304,-967,-3134,-4807,-5746,-5781,-4951,-3379,-1332,833,2793,4194,4788,4499,3315,1473,-707,-2894,-4676,
-5781,-6021,-5357,-3935,-1950,285,2390,4011,4926,4945,4073,2443,344,-1821,-3712,-4996,-5432,-4987,-3704,-1794,
436,2640,4462,5583,5870,5240,3800,1792,-402,-2395,-3880,-4579,-4375,-3336,-1609,545,2721,4624,5927,6404,
5984,4701,2770,570,-1615,-3317,-4298,-4414,-3637,-2110,-97,2087,4044,5509,6193,5972,4868,3073,855,-1385,
-3269,-4497,-4873,-4334,-3008,-1090,1069,3146,4761,5678,5695,4833,3195,1071,-1177,-3164,-4587,-5206,-4902,-3743,
-1932,224,2414,4255,5413,5742,5149,3737,1757,-486,-2529,-4117,-4891,-4794,-3819,-2127,36,2252,4236,5615,
6199,5834,4630,2766,580,-1588,-3330,-4359,-4508,-3789,-2301,-275,1920,3931,5487,6249,6115,5095,3349,1151,
-1098,-3020,-4343,-4782,-4331,-3063,-1212,944,3056,4731,5716,5819,4978,3385,1223,-1088,-3158,-4662,-5377,-5163,
-4106,-2376,-266,1882,3697,4885,5229,4667,3240,1232,-1062,-3221,-4899,-5803,-5830,-4945,-3375,-1303,876,2819,
4225,4842,4543,3357,1514,-724,-2949,-4779,-5889,-6140,-5482,-4045,-2038,175,2275,3872,4721,4690,3738,2029,
-103,-2353,-4296,-5624,-6124,-5699,-4440,-2576,-369,1778,3548,4608,4813,4113,2593,522,-1730,-3785,-5291,-6026,
-5835,-4793,-3032,-917,1305,3211,4503,4952,4476,3163,1240,-1020,-3156,-4838,-5786,-5845,-5017,-3430,-1357,855,
2888,4358,5086,4850,3728,1944,-239,-2420,-4278,-5418,-5718,-5104,-3706,-1732,481,2606,4250,5187,5220,4345,
2688,571,-1669,-3628,-5008,-5526,-5152,-3951,-2083,84,2279,4090,5204,5491,4851,3391,1373,-889,-2977,-4525,
-5331,-5218,-4230,-2531,-404,1792,3702,5054,5563,5143,3906,1991,-230,-2421,-4160,-5181,-5312,-4566,-3051,-1040,
1181,3187,4699,5437,5265,4186,2427,222,-2012,-3904,-5140,-5538,-5007,-3702,-1787,401,2505,4175,5123,5202,
4404,2793,686,-1542,-3557,-4999,-5642,-5368,-4228,-2461,-315,1875,3682,4889,5214,4642,3262,1289,-964,-3055,
-4661,-5493,-5466,-4560,-2908,-811,1380,3352,4732,5319,4968,3764,1911,-297,-2496,-4269,-5346,-5560,-4874,-3415,
-1451,770,2793,4353,5179,5090,4118,2394,253,-1988,-3891,-5190,-5634,-5174,-3904,-2038,129,2267,4017,5056,
5246,4541,3031,988,-1235,-3252,-4711,-5399,-5175,-4082,-2333,-177,2002,3887,5180,5620,5156,3848,1933,-267,
-2392,-4022,-4905,-4932,-4063,-2483,-402,1782,3796,5233,5927,5684,4576,2790,622,-1566,-3370,-4525,-4808,-4195,
-2814,-862,1330,3408,5029,5917,5926,5056,3410,1321,-898,-2843,-4204,-4751,-4394,-3194,-1381,776,2895,4653,
5767,6003,5341,3877,1820,-417,-2493,-4050,-4832,-4732,-3764,-2098,-16,2145,4038,5333,5828,5379,4129,2222,
3,-2176,-3902,-4915,-5055,-4325,-2832,-842,1343,3320,4818,5542,5375,4312,2551,386,-1834,-3729,-4962,-5351,
-4863,-3560,-1667,514,2617,4260,5224,5310,4485,2884,781,-1478,-3459,-4901,-5550,-5274,-4158,-2396,-299,1848,
3652,4819,5130,4550,3130,1144,-1118,-3233,-4846,-5720,-5724,-4818,-3209,-1154,1011,2950,4302,4905,4554,3349,
1505,-715,-2901,-4711,-5802,-6028,-5373,-3914,-1932,260,2311,3875,4684,4620,3658,1957,-176,-2391,-4291,-5574,
-6023,-5567,-4283,-2415,-217,1939,3684,4728,4920,4214,2708,639,-1543,-3578,-5041,-5739,-5534,-4464,-2704,-567,
1645,3507,4812,5258,4762,3477,1558,-670,-2788,-4410,-5346,-5373,-4530,-2933,-851,1374,3374,4848,5539,5304,
4175,2371,174,-1992,-3822,-4928,-5224,-4574,-3165,-1210,1015,3107,4717,5636,5634,4753,3093,982,-1236,-3169,
-4532,-5037,-4658,-3417,-1582,613,2775,4585,5702,5995,5343,3889,1862,-363,-2442,-3965,-4742,-4594,-3591,-1897,
235,2418,4358,5685,6167,5743,4469,2539,309,-1872,-3618,-4614,-4740,-3997,-2478,-474,1729,3725,5193,5891,
5700,4578,2794,579,-1662,-3570,-4812,-5194,-4681,-3356,-1451,729,2826,4465,5396,5454,4621,2993,868,-1368,
-3384,-4831,-5453,-5153,-4013,-2219,-72,2104,3929,5105,5411,4812,3402,1392,-869,-2954,-4562,-5395,-5369,-4429,
-2779,-672,1526,3479,4856,5407,5035,3807,1925,-292,-2508,-4248,-5330,-5532,-4841,-3385,-1380,792,2829,4339,
5124,4993,3965,2197,16,-2229,-4159,-5459,-5909,-5468,-4193,-2331,-161,1955,3653,4642,4770,3986,2419,317,
-1948,-3984,-5466,-6156,-5920,-4840,-3077,-947,1235,3099,4331,4705,4181,2830,873,-1383,-3491,-5127,-6017,-6029,
-5147,-3523,-1451,771,2753,4180,4824,4553,3429,1614,-564,-2729,-4535,-5640,-5863,-5215,-3779,-1772,441,2533,
4131,5016,5002,4098,2423,320,-1883,-3807,-5125,-5621,-5195,-3941,-2092,109,2271,4044,5124,5338,4667,3199,
1164,-1057,-3088,-4603,-5320,-5158,-4145,-2441,-329,1856,3745,5038,5504,5061,3766,1856,-355,-2500,-4161,-5130,
-5199,-4407,-2851,-823,1369,3373,4863,5561,5380,4306,2537,377,-1807,-3640,-4810,-5141,-4552,-3206,-1263,930,
3034,4677,5643,5693,4850,3276,1175,-1019,-2956,-4335,-4898,-4530,-3380,-1565,586,2754,4575,5717,6022,5441,
4019,2038,-180,-2245,-3806,-4618,-4535,-3567,-1923,173,2344,4259,5604,6141,5758,4540,2661,465,-1734,-3498,
-4538,-4728,-4028,-2566,-597,1573,3564,5060,5785,5658,4605,2860,681,-1552,-3493,-4801,-5256,-4805,-3567,-1734,
413,2469,4141,5110,5157,4374,2773,679,-1555,-3614,-5062,-5755,-5548,-4501,-2745,-671,1491,3303,4498,4856,
4312,2946,993,-1241,-3340,-4968,-5861,-5876,-5014,-3423,-1371,825,2807,4229,4842,4579,3427,1607,-549,-2725,
-4499,-5603,-5851,-5207,-3799,-1838,353,2429,4018,4891,4860,3955,2283,177,-2044,-3958,-5276,-5765,-5360,-4136,
-2314,-138,1984,3737,4797,5021,4328,2848,816,-1405,-3433,-4938,-5692,-5520,-4493,-2790,-686,1503,3409,4705,
5178,4730,3473,1568,-626,-2757,-4429,-5369,-5450,-4647,-3084,-1031,1187,3197,4690,5417,5242,4171,2454,296,
-1866,-3698,-4862,-5161,-4579,-3220,-1257,950,3057,4712,5670,5724,4913,3303,1253,-969,-2922,-4285,-4836,-4482,
-3296,-1492,690,2872,4696,5856,6148,5557,4156,2155,-79,-2140,-3708,-4507,-4431,-3484,-1831,273,2454,4401,
5735,6267,5879,4637,2747,544,-1642,-3385,-4441,-4629,-3926,-2456,-462,1725,3731,5241,5978,5852,4793,3034,
868,-1389,-3311,-4582,-5024,-4572,-3296,-1437,723,2813,4478,5436,5535,4707,3129,992,-1278,-3314,-4800,-5482,
-5244,-4166,-2404,-279,1841,3679,4873,5210,4651,3257,1276,-978,-3105,-4749,-5608,-5609,-4732,-3105,-1039,1142,
3109,4509,5134,4821,3668,1830,-366,-2551,-4338,-5427,-5657,-5004,-3556,-1558,640,2714,4297,5131,5083,4146,
2450,314,-1913,-3854,-5153,-5634,-5204,-3940,-2079,116,2224,3970,5024,5216,4499,2987,925,-1317,-3363,-4854,
-5579,-5401,-4362,-2637,-542,1668,3515,4784,5205,4710,3393,1466,-781,-2929,-4587,-5566,-5618,-4830,-3248,-1208,
978,2967,4424,5088,4865,3724,1913,-270,-2470,-4311,-5465,-5789,-5195,-3820,-1886,322,2404,4005,4907,4903,
4010,2366,246,-1975,-3917,-5290,-5827,-5460,-4262,-2428,-277,1858,3654,4759,5024,4399,2949,940,-1291,-3342,
-4868,-5638,-5513,-4521,-2823,-703,1479,3385,4727,5249,4852,3611,1727,-472,-2631,-4347,-5343,-5462,-4714,-3178,
-1171,1033,3031,4563,5285,5132,4074,2329,162,-2033,-3903,-5141,-5505,-4972,-3663,-1759,427,2529,4178,5124,
5231,4425,2844,776,-1433,-3414,-4839,-5462,-5166,-4012,-2241,-92,2075,3902,5097,5439,4876,3530,1571,-634,
-2700,-4270,-5105,-5055,-4132,-2489,-380,1813,3790,5184,5788,5465,4306,2491,322,-1827,-3568,-4616,-4800,-4092,
-2649,-664,1531,3560,5109,5926,5845,4881,3173,1031,-1170,-3072,-4378,-4834,-4418,-3163,-1338,795,2878,4574,
5558,5719,4956,3423,1353,-901,-2956,-4441,-5181,-4983,-3978,-2285,-201,1946,3773,4980,5359,4856,3518,1558,
-666,-2802,-4466,-5386,-5441,-4625,-3058,-1039,1127,3078,4493,5140,4904,3792,2007,-179,-2347,-4148,-5305,-5583,
-4985,-3614,-1666,506,2571,4174,5051,5068,4184,2553,470,-1739,-3663,-5009,-5558,-5194,-3982,-2181,-39,2111,
3865,4974,5224,4572,3141,1130,-1072,-3104,-4637,-5389,-5265,-4299,-2610,-510,1658,3565,4854,5365,4950,3706,
1834,-349,-2488,-4167,-5160,-5268,-4502,-3015,-989,1208,3209,4710,5466,5328,4291,2559,415,-1751,-3611,-4817,
-5177,-4639,-3321,-1398,789,2898,4552,5535,5643,4852,3276,1219,-991,-2951,-4354,-4953,-4656,-3521,-1738,400,
2557,4405,5583,5894,5359,3967,2014,-203,-2294,-3872,-4725,-4690,-3782,-2153,-98,2066,3981,5359,5922,5580,
4392,2541,321,-1857,-3646,-4731,-4955,-4313,-2881,-927,1239,3246,4770,5533,5434,4428,2683,546,-1697,-3631,
-4950,-5418,-4975,-3751,-1921,236,2328,4031,5035,5181,4425,2894,817,-1416,-3455,-4922,-5617,-5438,-4370,-2638,
-544,1649,3498,4752,5173,4690,3346,1432,-786,-2895,-4526,-5431,-5478,-4627,-3045,-970,1226,3215,4666,5318,
5093,3959,2159,2,-2192,-3993,-5120,-5387,-4776,-3357,-1411,808,2853,4468,5356,5352,4450,2796,671,-1541,
-3494,-4853,-5354,-4986,-3782,-1964,182,2317,4099,5176,5419,4752,3277,1262,-975,-3042,-4561,-5321,-5189,-4160,
-2477,-359,1807,3727,5023,5505,5097,3840,1943,-248,-2380,-4066,-5005,-5095,-4301,-2747,-696,1532,3555,5049,
5774,5612,4559,2814,654,-1520,-3372,-4580,-4897,-4328,-2988,-1070,1124,3223,4862,5801,5857,5020,3397,1281,
-940,-2938,-4344,-4975,-4697,-3558,-1796,323,2453,4212,5357,5615,4974,3532,1512,-760,-2867,-4494,-5334,-5322,
-4431,-2796,-737,1398,3306,4620,5143,4736,3479,1590,-635,-2835,-4604,-5669,-5868,-5181,-3725,-1753,432,2436,
3952,4720,4598,3584,1866,-313,-2514,-4407,-5671,-6067,-5611,-4317,-2441,-282,1843,3534,4531,4679,3920,2386,
323,-1897,-3887,-5343,-5986,-5718,-4633,-2874,-742,1417,3259,4490,4850,4351,2994,1046,-1158,-3256,-4896,-5743,
-5752,-4873,-3274,-1206,979,2910,4326,4944,4663,3512,1687,-489,-2663,-4456,-5572,-5800,-5179,-3770,-1798,370,
2433,3979,4820,4779,3858,2166,80,-2127,-4051,-5363,-5856,-5450,-4215,-2384,-208,1909,3639,4717,4920,4250,
2790,762,-1426,-3437,-4922,-5646,-5452,-4432,-2692,-574,1593,3509,4781,5252,4826,3541,1680,-522,-2606,-4251,
-5185,-5231,-4439,-2890,-851,1344,3321,4790,5507,5298,4234,2476,334,-1830,-3675,-4817,-5147,-4590,-3252,-1343,
816,2903,4501,5417,5455,4595,2981,877,-1339,-3297,-4694,-5268,-4951,-3821,-2025,85,2187,3966,5077,5362,
4741,3322,1338,-886,-2944,-4497,-5296,-5227,-4271,-2628,-550,1614,3522,4846,5404,5037,3844,2000,-169,-2293,
-4009,-5011,-5152,-4429,-2923,-911,1277,3298,4824,5614,5517,4534,2847,750,-1424,-3273,-4510,-4898,-4391,-3097,
-1191,980,3078,4768,5749,5879,5126,3589,1530,-645,-2644,-4060,-4723,-4473,-3392,-1654,444,2596,4411,5613,
5949,5406,4052,2104,-107,-2185,-3809,-4695,-4721,-3864,-2285,-225,1925,3861,5264,5859,5564,4396,2572,397,
-1758,-3568,-4654,-4914,-4265,-2869,-933,1254,3290,4842,5678,5633,4723,3042,910,-1274,-3184,-4501,-4988,-4588,
-3372,-1545,568,2702,4436,5458,5678,4974,3498,1433,-782,-2828,-4327,-5078,-4923,-3932,-2251,-144,1982,3821,
5084,5497,5036,3734,1796,-428,-2590,-4286,-5254,-5363,-4588,-3083,-1069,1088,3038,4457,5142,4898,3778,2001,
-188,-2383,-4230,-5437,-5777,-5213,-3895,-1981,171,2220,3823,4715,4738,3889,2243,146,-2070,-4034,-5423,-6005,
-5686,-4514,-2732,-588,1550,3324,4455,4723,4095,2677,695,-1542,-3586,-5142,-5951,-5859,-4904,-3241,-1136,1036,
2968,4299,4817,4431,3197,1346,-828,-2970,-4694,-5693,-5833,-5113,-3613,-1604,604,2607,4126,4893,4752,3729,
2002,-129,-2318,-4188,-5409,-5804,-5290,-3982,-2096,93,2212,3893,4868,4995,4210,2659,564,-1632,-3609,-5032,
-5693,-5381,-4261,-2489,-349,1825,3666,4867,5218,4697,3339,1376,-810,-2865,-4462,-5291,-5271,-4343,-2717,-626,
1570,3534,4936,5553,5244,4130,2303,142,-1998,-3760,-4826,-5038,-4354,-2896,-894,1302,3364,4916,5744,5690,
4745,3060,929,-1261,-3165,-4478,-4925,-4495,-3257,-1403,752,2873,4581,5620,5749,5036,3518,1452,-769,-2796,
-4288,-5007,-4825,-3789,-2061,25,2173,4028,5240,5647,5154,3839,1915,-315,-2434,-4083,-5024,-5072,-4254,-2702,
-665,1507,3483,4931,5564,5335,4215,2424,255,-1920,-3740,-4871,-5161,-4554,-3162,-1225,952,3011,4615,5508,
5500,4623,2987,871,-1328,-3251,-4609,-5114,-4755,-3581,-1760,364,2472,4238,5319,5555,4899,3437,1432,-795,
-2854,-4383,-5156,-5050,-4067,-2406,-328,1826,3696,4988,5481,5049,3802,1904,-278,-2433,-4144,-5146,-5261,-4517,
-3035,-1025,1161,3147,4605,5320,5165,4104,2374,237,-1936,-3786,-4995,-5357,-4810,-3502,-1590,572,2646,4315,
5234,5330,4525,2951,891,-1292,-3266,-4638,-5256,-4965,-3834,-2056,81,2224,4031,5196,5517,4939,3591,1631,
-571,-2642,-4205,-5031,-4984,-4092,-2454,-398,1764,3697,5051,5629,5278,4087,2257,85,-2069,-3805,-4849,-5054,
-4374,-2953,-987,1161,3193,4666,5472,5352,4399,2688,574,-1614,-3505,-4792,-5229,-4807,-3544,-1723,400,2494,
4171,5160,5313,4577,3065,1017,-1212,-3222,-4668,-5391,-5191,-4143,-2432,-345,1795,3610,4840,5235,4732,3412,
1491,-723,-2809,-4457,-5360,-5399,-4568,-3008,-980,1183,3129,4523,5169,4913,3792,2027,-130,-2281,-4088,-5212,
-5482,-4882,-3514,-1578,580,2625,4208,5056,5065,4175,2540,453,-1735,-3677,-5014,-5534,-5186,-3996,-2193,-78,
2042,3772,4865,5088,4432,2988,982,-1236,-3268,-4784,-5555,-5447,-4471,-2780,-706,1425,3318,4605,5090,4662,
3416,1545,-617,-2744,-4413,-5407,-5505,-4752,-3238,-1227,964,2936,4447,5166,5005,3968,2238,107,-2033,-3869,
-5051,-5394,-4856,-3524,-1633,536,2627,4294,5245,5326,4507,2943,874,-1322,-3271,-4673,-5271,-4954,-3836,-2050,
63,2194,4003,5153,5457,4907,3503,1547,-652,-2737,-4317,-5135,-5104,-4177,-2556,-490,1670,3580,4940,5498,
5156,3974,2151,-22,-2162,-3933,-4978,-5151,-4482,-3025,-1044,1131,3146,4670,5461,5389,4393,2708,604,-1598,
-3469,-4735,-5164,-4740,-3456,-1615,569,2656,4360,5341,5493,4750,3236,1171,-1045,-3052,-4511,-5190,-5005,-3936,
-2194,-129,2034,3850,5076,5445,4930,3594,1668,-558,-2674,-4304,-5214,-5234,-4410,-2840,-814,1349,3299,4709,
5330,5042,3911,2096,-62,-2235,-4049,-5171,-5435,-4815,-3427,-1489,687,2747,4308,5173,5153,4219,2580,447,
-1749,-3679,-5025,-5510,-5132,-3916,-2089,43,2150,3913,4970,5193,4515,3049,1037,-1192,-3227,-4711,-5465,-5328,
-4309,-2616,-518,1616,3497,4788,5245,4802,3542,1646,-547,-2682,-4358,-5334,-5404,-4632,-3090,-1085,1113,3101,
4570,5249,5062,3981,2239,82,-2093,-3931,-5107,-5433,-4862,-3522,-1589,556,2648,4285,5194,5233,4408,2811,
727,-1459,-3422,-4800,-5378,-5077,-3905,-2119,15,2160,3944,5079,5346,4734,3351,1369,-854,-2890,-4447,-5255,
-5169,-4240,-2588,-511,1678,3588,4933,5448,5076,3871,2028,-168,-2304,-3994,-5018,-5193,-4455,-3007,-1011,1186,
3189,4706,5462,5348,4348,2637,489,-1675,-3557,-4781,-5178,-4698,-3410,-1551,601,2681,4344,5309,5448,4663,
3127,1051,-1154,-3138,-4568,-5242,-4980,-3899,-2150,-50,2072,3886,5078,5405,4873,3510,1577,-638,-2738,-4347,
-5211,-5218,-4340,-2758,-727,1435,3353,4739,5342,5037,3887,2099,-64,-2217,-3994,-5078,-5313,-4668,-3275,-1313,
866,2886,4434,5261,5229,4301,2634,562,-1622,-3516,-4815,-5306,-4889,-3656,-1835,311,2412,4124,5167,5347,
4646,3180,1148,-1048,-3049,-4544,-5256,-5101,-4088,-2395,-312,1829,3697,4924,5366,4910,3606,1729,-456,-2568,
-4229,-5157,-5247,-4463,-2921,-908,1255,3218,4664,5336,5117,4036,2288,167,-1997,-3793,-4947,-5254,-4689,-3334,
-1419,736,2793,4394,5297,5349,4492,2907,828,-1366,-3266,-4637,-5190,-4848,-3682,-1896,223,2336,4091,5194,
5473,4859,3456,1485,-719,-2765,-4288,-5076,-4984,-4050,-2401,-347,1795,3691,5017,5530,5155,3944,2094,-66,
-2183,-3912,-4912,-5054,-4342,-2853,-881,1291,3283,4760,5525,5384,4379,2671,581,-1618,-3462,-4698,-5091,-4594,
-3313,-1464,695,2773,4441,5372,5485,4711,3180,1115,-1066,-3061,-4480,-5132,-4884,-3804,-2076,23,2142,3953,
5126,5459,4906,3554,1614,-586,-2660,-4256,-5121,-5135,-4281,-2697,-658,1494,3416,4804,5379,5067,3917,2103,
-72,-2228,-3992,-5073,-5316,-4648,-3263,-1324,851,2868,4405,5234,5158,4217,2548,457,-1733,-3634,-4954,-5426,
-5023,-3809,-1979,120,2234,3935,4946,5146,4435,2945,924,-1311,-3321,-4794,-5532,-5349,-4333,-2654,-563,1578,
3404,4670,5091,4592,3316,1389,-799,-2902,-4569,-5486,-5553,-4772,-3225,-1216,962,2905,4343,5008,4777,3672,
1925,-221,-2383,-4193,-5351,-5660,-5087,-3735,-1806,356,2408,4002,4878,4919,4072,2445,386,-1814,-3754,-5111,
-5670,-5340,-4148,-2362,-210,1890,3646,4772,5014,4391,2958,986,-1238,-3257,-4805,-5560,-5471,-4509,-2840,-748,
1393,3310,4605,5120,4720,3489,1644,-521,-2649,-4322,-5343,-5457,-4723,-3217,-1232,964,2959,4460,5198,5062,
4050,2329,187,-1968,-3808,-5012,-5382,-4862,-3543,-1662,510,2584,4246,5201,5320,4511,2963,895,-1292,-3250,
-4660,-5297,-5007,-3889,-2120,-4,2110,3904,5090,5409,4857,3469,1523,-679,-2754,-4354,-5189,-5173,-4281,-2662,
-609,1554,3452,4802,5382,5044,3872,2037,-137,-2284,-4038,-5105,-5319,-4650,-3217,-1239,916,2937,4484,5275,
5193,4219,2553,439,-1762,-3636,-4933,-5377,-4933,-3672,-1835,318,2392,4122,5119,5272,4528,3029,989,-1195,
-3202,-4654,-5327,-5143,-4094,-2366,-285,1852,3687,4913,5303,4802,3494,1575,-624,-2707,-4336,-5234,-5277,-4445,
-2891,-870,1304,3238,4670,5314,5058,3951,2147,7,-2127,-3935,-5048,-5311,-4690,-3316,-1401,774,2830,4397,
5299,5274,4387,2768,686,-1510,-3390,-4735,-5236,-4844,-3660,-1832,281,2388,4139,5210,5454,4804,3360,1369,
-819,-2833,-4312,-5074,-4943,-3951,-2290,-201,1928,3818,5113,5583,5160,3933,2054,-107,-2238,-3909,-4882,-4975,
-4212,-2714,-711,1451,3416,4883,5591,5436,4363,2647,524,-1652,-3481,-4667,-5030,-4483,-3173,-1298,857,2893,
4539,5430,5492,4673,3089,1022,-1147,-3113,-4495,-5097,-4815,-3691,-1942,137,2263,4036,5162,5456,4861,3461,
1507,-712,-2751,-4327,-5172,-5137,-4243,-2642,-591,1538,3443,4774,5308,4951,3752,1923,-224,-2379,-4106,-5147,
-5361,-4673,-3237,-1275,863,2858,4354,5147,5023,4037,2356,254,-1914,-3771,-5040,-5472,-5014,-3777,-1945,189,
2269,3932,4906,5074,4316,2800,774,-1425,-3407,-4853,-5535,-5313,-4260,-2559,-494,1648,3447,4666,5054,4552,
3236,1333,-867,-2939,-4550,-5450,-5467,-4639,-3073,-1043,1101,3038,4426,5051,4798,3689,1947,-214,-2332,-4115,
-5214,-5471,-4843,-3466,-1497,656,2682,4272,5114,5114,4237,2603,567,-1617,-3512,-4829,-5338,-4957,-3751,-1954,
188,2314,4050,5137,5351,4686,3261,1267,-934,-2925,-4414,-5154,-5033,-4026,-2380,-308,1832,3720,4975,5453,
5008,3746,1887,-283,-2389,-4037,-5008,-5127,-4370,-2876,-883,1287,3231,4705,5402,5226,4172,2431,294,-1854,
-3691,-4862,-5210,-4677,-3347,-1467,670,2737,4356,5274,5349,4530,2962,889,-1307,-3243,-4646,-5237,-4905,-3808,
-2028,73,2176,3965,5095,5368,4770,3381,1425,-781,-2858,-4400,-5221,-5186,-4242,-2647,-587,1564,3451,4765,
5305,4935,3732,1897,-273,-2404,-4144,-5182,-5369,-4676,-3228,-1261,885,2889,4383,5154,5042,4052,2356,253,
-1940,-3808,-5062,-5475,-5002,-3745,-1891,271,2340,4029,4995,5134,4379,2878,837,-1355,-3347,-4770,-5424,-5202,
-4124,-2392,-279,1839,3674,4874,5250,4717,3394,1474,-709,-2788,-4372,-5263,-5264,-4406,-2828,-792,1365,3297,
4700,5324,5036,3896,2112,-49,-2180,-3952,-5035,-5283,-4655,-3270,-1320,842,2886,4449,5282,5245,4318,2674,
582,-1595,-3501,-4815,-5283,-4898,-3663,-1858,275,2354,4096,5135,5348,4643,3171,1178,-1040,-3047,-4535,-5262,
-5115,-4110,-2427,-331,1794,3649,4905,5337,4876,3611,1721,-465,-2558,-4230,-5170,-5222,-4450,-2907,-900,1276,
3233,4662,5334,5137,4047,2300,173,-1966,-3784,-4943,-5242,-4679,-3338,-1424,746,2784,4410,5278,5321,4494,
2893,825,-1354,-3288,-4641,-5214,-4895,-3723,-1933,171,2307,4046,5168,5434,4802,3395,1433,-781,-2802,-4354,
-5146,-5076,-4132,-2474,-397,1736,3608,4921,5417,5027,3804,1974,-213,-2320,-4015,-5011,-5158,-4432,-2976,-1008,
1166,3137,4631,5394,5251,4250,2533,426,-1702,-3549,-4791,-5159,-4658,-3355,-1507,639,2712,4380,5336,5462,
4667,3157,1111,-1082,-3017,-4409,-5064,-4785,-3692,-1935,159,2263,4060,5228,5557,5036,3677,1760,-445,-2495,
-4082,-4937,-4930,-4055,-2477,-411,1665,3583,4928,5525,5202,4064,2265,92,-2022,-3796,-4868,-5102,-4455,-3057,
-1134,1013,3017,4520,5322,5258,4318,2644,567,-1628,-3509,-4796,-5270,-4864,-3642,-1840,289,2364,4048,5076,
5231,4522,3044,1022,-1158,-3144,-4618,-5328,-5176,-4158,-2462,-391,1722,3560,4799,5217,4729,3441,1554,-610,
-2693,-4320,-5249,-5303,-4519,-3000,-991,1155,3081,4509,5160,4932,3844,2100,-29,-2166,-3966,-5107,-5428,-4838,
-3495,-1603,524,2567,4139,5040,5044,4167,2572,506,-1669,-3615,-4956,-5485,-5141,-4011,-2221,-115,1968,3716,
4795,5047,4436,3007,1045,-1134,-3167,-4688,-5453,-5358,-4385,-2778,-733,1417,3291,4572,5095,4691,3499,1651,
-506,-2581,-4270,-5253,-5402,-4669,-3189,-1208,939,2929,4418,5141,5011,3992,2298,202,-1951,-3772,-4994,-5366,
-4849,-3565,-1713,450,2500,4164,5071,5175,4398,2866,832,-1340,-3303,-4685,-5323,-5066,-3981,-2227,-175,1953,
3761,4914,5230,4668,3310,1380,-812,-2846,-4429,-5277,-5265,-4397,-2806,-767,1361,3276,4633,5206,4900,3717,
1914,-227,-2340,-4095,-5144,-5368,-4717,-3305,-1360,803,2819,4340,5168,5081,4168,2498,411,-1764,-3639,-4905,
-5355,-4919,-3684,-1866,259,2359,4070,5064,5259,4548,3056,1057,-1144,-3122,-4577,-5286,-5082,-4049,-2360,-285,
1839,3664,4915,5314,4824,3536,1636,-543,-2634,-4282,-5181,-5238,-4437,-2885,-879,1283,3207,4628,5270,5026,
3904,2164,4,-2135,-3930,-5053,-5354,-4760,-3416,-1485,658,2705,4290,5154,5152,4303,2668,615,-1566,-3483,
-4796,-5333,-4976,-3789,-1989,117,2245,3968,5079,5320,4674,3256,1282,-915,-2916,-4430,-5192,-5064,-4090,-2423,
-344,1804,3680,4967,5456,5034,3803,1937,-213,-2325,-3992,-4961,-5082,-4322,-2835,-854,1317,3273,4733,5455,
5307,4274,2548,425,-1735,-3560,-4745,-5111,-4596,-3275,-1409,728,2804,4422,5362,5441,4628,3080,1000,-1182,
-3136,-4503,-5125,-4807,-3716,-1915,166,2264,4055,5202,5499,4925,3552,1599,-601,-2653,-4206,-5017,-4982,-4065,
-2453,-404,1745,3614,4977,5534,5178,3989,2203,25,-2098,-3820,-4861,-5044,-4376,-2935,-977,1173,3173,4679,
5443,5361,4374,2684,595,-1591,-3463,-4731,-5172,-4708,-3455,-1638,503,2568,4233,5197,5310,4571,3053,1014,
-1173,-3158,-4620,-5293,-5090,-4051,-2350,-296,1820,3631,4805,5169,4649,3331,1408,-789,-2871,-4473,-5378,-5405,
-4584,-3041,-1041,1096,3002,4408,5026,4752,3630,1833,-311,-2429,-4203,-5328,-5572,-4948,-3588,-1677,479,2488,
4033,4899,4871,3981,2341,264,-1905,-3786,-5090,-5586,-5199,-3989,-2191,-99,1995,3723,4760,4965,4319,2882,
890,-1306,-3314,-4784,-5499,-5383,-4382,-2726,-659,1457,3299,4572,5051,4590,3364,1503,-648,-2749,-4410,-5355,
-5447,-4678,-3178,-1191,961,2900,4347,5037,4852,3812,2106,-17,-2157,-3944,-5108,-5456,-4889,-3573,-1684,471,
2513,4120,5016,5087,4282,2719,678,-1464,-3391,-4734,-5322,-5009,-3880,-2090,-5,2118,3867,5000,5302,4715,
3343,1404,-775,-2794,-4331,-5128,-5067,-4153,-2546,-484,1656,3540,4860,5402,5043,3854,2024,-109,-2232,-3930,
-4942,-5125,-4423,-3004,-1035,1105,3079,4566,5318,5216,4253,2554,449,-1695,-3542,-4785,-5195,-4731,-3465,-1647,
477,2531,4199,5159,5295,4549,3035,1011,-1184,-3137,-4554,-5209,-4993,-3925,-2226,-151,1959,3754,4947,5312,
4802,3490,1600,-586,-2656,-4241,-5090,-5116,-4279,-2710,-695,1450,3360,4741,5348,5087,3940,2188,65,-2039,
-3807,-4882,-5156,-4516,-3137,-1204,935,2960,4494,5327,5309,4411,2769,713,-1441,-3343,-4630,-5125,-4730,-3535,
-1758,364,2456,4162,5206,5400,4737,3296,1291,-892,-2889,-4387,-5101,-4955,-3988,-2305,-233,1869,3722,4969,
5416,4963,3702,1834,-346,-2435,-4072,-5016,-5097,-4324,-2829,-838,1300,3237,4678,5370,5152,4105,2368,249,
-1877,-3686,-4838,-5184,-4638,-3293,-1424,684,2752,4323,5242,5281,4456,2874,824,-1353,-3292,-4654,-5233,-4911,
-3775,-2009,82,2162,3908,4998,5267,4682,3284,1312,-889,-2926,-4463,-5259,-5197,-4271,-2670,-622,1509,3384,
4674,5193,4803,3598,1776,-397,-2502,-4228,-5245,-5405,-4700,-3256,-1295,833,2824,4306,5054,4925,3938,2228,
143,-2021,-3856,-5102,-5505,-5024,-3738,-1903,248,2314,3983,4933,5044,4288,2756,710,-1446,-3405,-4826,-5438,
-5210,-4126,-2374,-295,1824,3615,4787,5139,4596,3251,1342,-817,-2864,-4460,-5307,-5309,-4469,-2893,-835,1301,
3213,4602,5190,4891,3746,1938,-180,-2306,-4069,-5136,-5369,-4700,-3308,-1383,768,2787,4309,5126,5067,4144,
2495,418,-1738,-3604,-4908,-5352,-4935,-3723,-1897,205,2286,3995,5002,5199,4497,3021,1024,-1169,-3171,-4607,
-5326,-5152,-4125,-2450,-371,1750,3571,4826,5237,4767,3497,1610,-557,-2647,-4282,-5203,-5255,-4470,-2935,-955,
1230,3145,4550,5206,4984,3889,2169,22,-2105,-3896,-5043,-5330,-4761,-3406,-1509,633,2652,4245,5119,5120,
4276,2684,640,-1540,-3447,-4777,-5312,-4993,-3816,-2051,68,2154,3908,4996,5223,4599,3197,1241,-947,-2937,
-4472,-5210,-5129,-4185,-2542,-469,1641,3512,4792,5294,4882,3669,1830,-309,-2428,-4078,-5057,-5196,-4475,-3000,
-1047,1114,3077,4540,5272,5118,4099,2404,297,-1841,-3656,-4848,-5208,-4706,-3405,-1561,565,2622,4252,5179,
5296,4488,2951,910,-1252,-3190,-4580,-5211,-4934,-3839,-2101,-23,2069,3843,5007,5312,4748,3389,1464,-696,
-2740,-4311,-5142,-5119,-4242,-2641,-634,1502,3373,4707,5271,4949,3774,2014,-156,-2260,-3989,-5052,-5255,-4618,
-3221,-1273,854,2832,4334,5113,5036,4093,2436,355,-1800,-3669,-4920,-5406,-4965,-3753,-1950,164,2232,3904,
4893,5063,4317,2844,832,-1328,-3310,-4754,-5453,-5274,-4256,-2565,-516,1567,3406,4605,4996,4513,3225,1335,
-824,-2879,-4484,-5390,-5455,-4640,-3098,-1115,1027,2933,4364,4996,4768,3678,1931,-190,-2289,-4071,-5182,-5475,
-4856,-3525,-1619,523,2560,4102,4998,5005,4138,2549,482,-1652,-3537,-4855,-5357,-4996,-3833,-2048,54,2146,
3880,4957,5200,4574,3180,1225,-960,-2957,-4449,-5179,-5072,-4091,-2465,-408,1717,3578,4847,5351,4944,3745,
1903,-230,-2310,-3990,-4944,-5052,-4320,-2841,-867,1287,3252,4714,5449,5295,4268,2578,491,-1649,-3470,-4645,
-5009,-4485,-3182,-1321,828,2853,4494,5411,5499,4704,3163,1134,-1008,-2944,-4313,-4936,-4655,-3549,-1810,271,
2381,4146,5284,5597,5032,3674,1748,-437,-2447,-4022,-4841,-4806,-3952,-2333,-317,1797,3687,5017,5562,5249,
4069,2239,109,-2016,-3745,-4794,-4987,-4338,-2922,-1009,1140,3126,4637,5408,5314,4362,2693,599,-1559,-3421,
-4694,-5105,-4687,-3455,-1637,476,2533,4214,5163,5327,4609,3127,1095,-1090,-3072,-4499,-5188,-4988,-3943,-2253,
-168,1917,3717,4927,5305,4795,3505,1597,-560,-2635,-4263,-5140,-5181,-4366,-2823,-820,1323,3233,4617,5239,
4997,3862,2117,-20,-2165,-3943,-5036,-5294,-4703,-3345,-1431,710,2732,4274,5114,5092,4232,2599,540,-1625,
-3525,-4818,-5345,-4977,-3787,-2020,97,2188,3898,4969,5165,4512,3070,1105,-1088,-3082,-4572,-5303,-5180,-4224,
-2549,-474,1629,3496,4738,5198,4765,3524,1661,-469,-2588,-4221,-5176,-5282,-4516,-3038,-1061,1095,3025,4485,
5184,4993,3959,2228,125,-1996,-3819,-4981,-5308,-4786,-3451,-1588,522,2591,4185,5096,5154,4345,2785,726,
-1442,-3356,-4724,-5327,-5016,-3889,-2121,-50,2055,3809,4928,5182,4613,3216,1278,-903,-2939,-4468,-5260,-5215,
-4288,-2679,-642,1479,3332,4652,5178,4824,3631,1819,-320,-2417,-4136,-5149,-5307,-4625,-3189,-1223,908,2888,
4369,5119,5009,4034,2354,288,-1867,-3703,-4950,-5348,-4883,-3611,-1786,345,2410,4037,5015,5116,4382,2884,
859,-1299,-3263,-4656,-5304,-5087,-4001,-2344,-253,1822,3640,4800,5172,4630,3321,1434,-720,-2778,-4351,-5239,
-5231,-4407,-2846,-837,1279,3174,4563,5146,4868,3739,1975,-148,-2263,-4005,-5068,-5330,-4712,-3324,-1416,709,
2733,4263,5081,5068,4145,2532,484,-1680,-3546,-4835,-5294,-4881,-3698,-1906,192,2268,3968,5007,5219,4530,
3079,1108,-1044,-3027,-4473,-5178,-5022,-4016,-2358,-309,1797,3625,4879,5316,4870,3635,1763,-365,-2443,-4074,
-5011,-5076,-4325,-2799,-829,1292,3233,4652,5322,5127,4072,2348,239,-1885,-3660,-4815,-5146,-4585,-3265,-1415,
730,2760,4348,5217,5255,4427,2850,827,-1321,-3242,-4569,-5148,-4834,-3699,-1953,124,2215,3947,5049,5322,
4724,3342,1415,-745,-2754,-4281,-5059,-4998,-4076,-2480,-443,1671,3549,4831,5353,4981,3786,1979,-170,-2249,
-3928,-4937,-5082,-4392,-2971,-1026,1119,3076,4545,5300,5164,4182,2501,410,-1717,-3550,-4763,-5165,-4708,-3440,
-1616,468,2523,4155,5094,5225,4458,2944,909,-1260,-3205,-4611,-5273,-5035,-3979,-2278,-219,1870,3636,4817,
5145,4606,3306,1387,-771,-2828,-4442,-5285,-5289,-4450,-2881,-873,1245,3139,4487,5095,4789,3670,1905,-229,
-2315,-4065,-5141,-5387,-4754,-3383,-1452,670,2673,4199,5013,4963,4074,2438,383,-1756,-3624,-4902,-5403,-4993,
-3785,-1993,130,2194,3891,4915,5102,4416,2966,986,-1193,-3143,-4626,-5334,-5172,-4174,-2508,-459,1642,3487,
4720,5145,4697,3425,1560,-586,-2666,-4291,-5225,-5303,-4521,-3016,-1025,1113,3039,4461,5131,4924,3870,2126,
28,-2082,-3884,-5023,-5322,-4763,-3442,-1567,570,2612,4200,5082,5137,4294,2729,690,-1482,-3383,-4712,-5279,
-4934,-3798,-2024,68,2159,3906,5005,5254,4659,3273,1341,-828,-2846,-4374,-5144,-5073,-4116,-2500,-455,1661,
3528,4825,5339,4951,3763,1924,-207,-2298,-4009,-4995,-5139,-4426,-2980,-1039,1110,3082,4536,5273,5132,4143,
2433,357,-1782,-3623,-4853,-5239,-4721,-3467,-1622,502,2557,4193,5140,5229,4453,2925,886,-1265,-3221,-4618,
-5253,-5008,-3920,-2207,-141,1975,3754,4915,5250,4717,3351,1449,-723,-2762,-4336,-5198,-5186,-4338,-2769,-739,
1382,3264,4632,5214,4907,3744,1947,-164,-2288,-4022,-5089,-5311,-4661,-3285,-1351,784,2765,4290,5107,5025,
4114,2452,378,-1790,-3631,-4914,-5379,-4968,-3751,-1930,154,2219,3912,4908,5088,4403,2937,941,-1241,-3220,
-4667,-5362,-5190,-4168,-2487,-414,1678,3502,4737,5155,4678,3412,1528,-612,-2688,-4322,-5220,-5264,-4475,-2925,
-948,1193,3119,4526,5174,4954,3873,2145,37,-2083,-3849,-4973,-5267,-4676,-3337,-1442,698,2724,4307,5170,
5181,4342,2743,699,-1445,-3361,-4673,-5209,-4868,-3705,-1934,164,2257,3963,5056,5315,4680,3267,1324,-839,
-2845,-4364,-5106,-5010,-4082,-2451,-402,1709,3575,4852,5339,4930,3713,1875,-258,-2348,-4008,-4989,-5125,-4405,
-2951,-998,1156,3103,4574,5289,5119,4128,2437,326,-1802,-3617,-4812,-5168,-4674,-3386,-1553,568,2601,4246,
5165,5262,4475,2942,914,-1241,-3177,-4554,-5173,-4893,-3812,-2075,-1,2075,3848,4995,5316,4765,3429,1503,
-663,-2685,-4255,-5084,-5052,-4187,-2607,-589,1525,3399,4746,5315,4985,3833,2042,-84,-2168,-3900,-4961,-5153,
-4506,-3105,-1177,956,2945,4447,5243,5165,4241,2596,530,-1632,-3469,-4726,-5181,-4751,-3525,-1719,398,2451,
4143,5148,5305,4582,3129,1123,-1013,-2975,-4399,-5080,-4902,-3877,-2191,-133,1959,3792,4995,5402,4929,3641,
1765,-368,-2433,-4051,-4954,-4988,-4177,-2664,-680,1451,3345,4782,5390,5173,4070,2332,215,-1902,-3694,-4803,
-5088,-4507,-3163,-1301,825,2838,4391,5240,5242,4383,2788,708,-1445,-3334,-4652,-5204,-4849,-3707,-1931,132,
2216,3919,4990,5209,4596,3158,1209,-978,-2971,-4482,-5247,-5154,-4199,-2585,-562,1554,3398,4665,5150,4724,
3513,1676,-467,-2561,-4235,-5214,-5340,-4639,-3191,-1193,906,2875,4315,5032,4863,3845,2130,50,-2088,-3889,
-5090,-5470,-4961,-3669,-1825,296,2331,3950,4863,4948,4153,2631,589,-1565,-3495,-4877,-5493,-5219,-4122,-2395,
-335,1778,3536,4687,5000,4437,3091,1179,-998,-3023,-4569,-5400,-5368,-4490,-2903,-873,1252,3140,4475,5036,
4724,3560,1775,-343,-2437,-4164,-5186,-5383,-4714,-3293,-1345,790,2792,4302,5100,5025,4093,2443,385,-1756,
-3580,-4841,-5272,-4836,-3609,-1775,336,2406,4093,5100,5267,4555,3072,1087,-1082,-3038,-4457,-5147,-4956,-3918,
-2238,-154,1945,3754,4975,5376,4875,3595,1698,-441,-2530,-4128,-5025,-5067,-4260,-2716,-730,1416,3321,4715,
5342,5097,3994,2243,120,-2003,-3771,-4884,-5165,-4559,-3216,-1310,803,2817,4384,5221,5217,4351,2744,685,
-1471,-3364,-4694,-5208,-4853,-3679,-1898,197,2282,3992,5064,5272,4623,3198,1237,-937,-2943,-4433,-5178,-5077,
-4103,-2462,-404,1711,3562,4819,5283,4850,3606,1755,-391,-2478,-4130,-5111,-5220,-4483,-3003,-1034,1108,3065,
4496,5193,5022,3992,2274,174,-1954,-3775,-4953,-5286,-4776,-3483,-1616,512,2558,4167,5084,5156,4354,2807,
765,-1386,-3315,-4686,-5288,-4987,-3880,-2129,-37,2048,3823,4953,5254,4681,3308,1377,-776,-2812,-4346,-5153,
-5111,-4203,-2603,-569,1558,3428,4753,5318,4963,3794,1994,-151,-2228,-3948,-4985,-5158,-4478,-3058,-1107,1027,
3024,4512,5284,5178,4211,2552,472,-1675,-3518,-4770,-5187,-4751,-3489,-1670,454,2496,4154,5148,5276,4539,
3043,1027,-1131,-3100,-4506,-5177,-4985,-3938,-2235,-175,1935,3732,4923,5289,4756,3468,1575,-587,-2641,-4246,
-5127,-5132,-4326,-2767,-776,1358,3263,4648,5245,4990,3872,2099,-8,-2115,-3883,-4975,-5225,-4628,-3253,-1351,
783,2795,4338,5177,5145,4271,2664,596,-1557,-3443,-4733,-5239,-4861,-3673,-1883,205,2291,3975,5039,5241,
4590,3154,1196,-982,-2969,-4447,-5164,-5020,-4052,-2391,-333,1770,3595,4855,5305,4866,3626,1780,-367,-2440,
-4085,-5032,-5123,-4357,-2865,-910,1237,3177,4608,5297,5121,4084,2362,272,-1844,-3635,-4808,-5128,-4596,-3281,
-1416,708,2742,4359,5248,5316,4500,2968,918,-1237,-3147,-4484,-5076,-4776,-3651,-1885,182,2272,4026,5131,
5409,4834,3459,1530,-645,-2652,-4197,-4986,-4929,-4028,-2431,-391,1697,3564,4871,5414,5044,3871,2063,-78,
-2174,-3875,-4894,-5084,-4391,-2966,-1044,1092,3054,4527,5281,5159,4201,2515,447,-1703,-3549,-4776,-5178,-4736,
-3486,-1675,432,2481,4123,5090,5217,4463,2971,955,-1205,-3156,-4570,-5227,-5013,-3970,-2263,-202,1888,3689,
4871,5241,4713,3397,1498,-643,-2703,-4299,-5160,-5183,-4357,-2804,-804,1326,3229,4592,5214,4930,3810,2057,
-63,-2169,-3926,-5020,-5284,-4663,-3288,-1388,723,2733,4263,5097,5069,4166,2548,490,-1657,-3546,-4842,-5340,
-4956,-3774,-1991,111,2178,3879,4914,5113,4453,3007,1034,-1124,-3111,-4594,-5310,-5169,-4186,-2542,-493,1614,
3455,4691,5156,4710,3469,1606,-533,-2598,-4228,-5179,-5273,-4506,-3022,-1032,1102,3033,4475,5155,4961,3917,
2187,96,-2027,-3821,-4987,-5313,-4765,-3452,-1589,544,2571,4170,5051,5098,4282,2718,679,-1476,-3395,-4740,
-5331,-5013,-3907,-2143,-82,2010,3764,4882,5147,4549,3161,1222,-959,-2974,-4509,-5299,-5247,-4340,-2732,-696,
1415,3293,4599,5123,4765,3563,1745,-382,-2471,-4178,-5190,-5354,-4668,-3233,-1281,856,2836,4320,5079,4960,
3999,2322,238,-1911,-3744,-4963,-5373,-4889,-3627,-1789,331,2399,4052,5013,5139,4387,2885,880,-1287,-3227,
-4643,-5283,-5052,-3982,-2267,-202,1907,3704,4887,5247,4719,3407,1507,-667,-2707,-4298,-5145,-5155,-4314,-2750,
-736,1402,3299,4673,5272,4988,3847,2084,-52,-2160,-3902,-4971,-5231,-4590,-3220,-1289,843,2861,4387,5213,
5170,4278,2640,576,-1579,-3447,-4726,-5188,-4812,-3596,-1793,301,2389,4090,5131,5331,4658,3208,1231,-951,
-2919,-4389,-5102,-4944,-3934,-2259,-193,1925,3757,4989,5433,4972,3722,1847,-297,-2378,-4008,-4938,-5015,-4232,
-2714,-741,1399,3327,4746,5417,5212,4153,2420,307,-1817,-3617,-4765,-5079,-4523,-3193,-1312,813,2843,4424,
5308,5339,4501,2927,861,-1290,-3207,-4547,-5118,-4781,-3652,-1864,209,2297,4036,5140,5390,4771,3384,1436,
-748,-2763,-4282,-5048,-4972,-4038,-2431,-389,1731,3576,4887,5393,5008,3792,1982,-171,-2272,-3946,-4949,-5099,
-4396,-2947,-991,1141,3106,4568,5289,5169,4164,2463,371,-1773,-3610,-4838,-5227,-4738,-3463,-1639,482,2520,
4155,5080,5173,4410,2887,849,-1317,-3267,-4679,-5315,-5068,-4004,-2284,-235,1856,3628,4778,5105,4567,3228,
1310,-863,-2908,-4485,-5338,-5333,-4475,-2910,-913,1210,3086,4444,5028,4724,3578,1799,-338,-2434,-4175,-5254,
-5465,-4814,-3440,-1515,619,2604,4120,4934,4878,3962,2316,253,-1905,-3755,-5022,-5485,-5068,-3842,-2043,53,
2124,3815,4822,4989,4311,2863,864,-1301,-3273,-4726,-5401,-5255,-4228,-2557,-502,1592,3414,4645,5084,4600,
3345,1486,-660,-2733,-4350,-5261,-5327,-4535,-3023,-1034,1101,3017,4434,5081,4868,3806,2085,-33,-2148,-3909,
-5039,-5344,-4766,-3427,-1546,589,2616,4188,5058,5090,4260,2681,635,-1493,-3392,-4710,-5261,-4918,-3778,-1985,
99,2193,3915,5012,5269,4662,3266,1320,-844,-2846,-4351,-5105,-5027,-4088,-2464,-412,1708,3560,4845,5353,
4965,3760,1932,-196,-2294,-3967,-4955,-5101,-4383,-2939,-972,1161,3111,4571,5289,5158,4163,2463,376,-1753,
-3572,-4788,-5171,-4673,-3389,-1558,560,2593,4230,5162,5266,4491,2963,938,-1235,-3166,-4553,-5177,-4931,-3844,
-2127,-66,2040,3810,4960,5293,4752,3422,1523,-651,-2697,-4251,-5080,-5072,-4209,-2634,-616,1509,3393,4750,
5320,5024,3864,2095,-26,-2121,-3862,-4892,-5133,-4471,-3082,-1156,982,2981,4487,5291,5229,4310,2659,598,
-1543,-3414,-4673,-5134,-4709,-3501,-1711,399,2468,4150,5160,5332,4638,3174,1183,-1004,-2978,-4434,-5122,-4948,
-3952,-2260,-195,1894,3714,4937,5349,4864,3593,1715,-450,-2520,-4138,-5041,-5099,-4303,-2788,-806,1327,3240,
4653,5303,5062,3988,2248,126,-1980,-3766,-4892,-5197,-4623,-3274,-1392,709,2755,4312,5187,5190,4346,2755,
710,-1458,-3364,-4697,-5247,-4901,-3740,-1973,118,2194,3911,4981,5219,4596,3189,1224,-962,-2970,-4479,-5244,
-5155,-4213,-2589,-542,1573,3427,4693,5185,4771,3556,1722,-435,-2525,-4208,-5192,-5323,-4599,-3138,-1174,951,
2914,4375,5096,4933,3923,2211,131,-2013,-3823,-5038,-5406,-4898,-3600,-1761,375,2427,4071,4991,5082,4305,
2762,722,-1427,-3359,-4751,-5342,-5082,-3987,-2234,-155,1944,3713,4858,5180,4622,3258,1345,-806,-2838,-4405,
-5224,-5200,-4334,-2746,-704,1424,3312,4667,5231,4905,3742,1937,-181,-2291,-4024,-5066,-5267,-4589,-3187,-1256,
875,2881,4379,5167,5087,4141,2488,413,-1727,-3576,-4852,-5274,-4843,-3611,-1793,314,2375,4057,5045,5216,
4490,3010,1010,-1163,-3143,-4561,-5254,-5060,-4023,-2339,-269,1840,3642,4863,5253,4761,3474,1590,-569,-2642,
-4253,-5151,-5181,-4387,-2845,-863,1301,3199,4588,5217,4973,3866,2134,-3,-2117,-3889,-5010,-5276,-4690,-3333,
-1437,696,2706,4270,5120,5106,4241,2642,595,-1568,-3456,-4770,-5282,-4941,-3754,-1987,118,2196,3926,4989,
5198,4554,3145,1188,-993,-2969,-4481,-5200,-5105,-4142,-2498,-435,1665,3516,4780,5257,4830,3607,1766,-369,
-2467,-4109,-5068,-5185,-4452,-2971,-1014,1135,3082,4524,5234,5063,4030,2331,229,-1899,-3698,-4876,-5220,-4700,
-3393,-1544,572,2612,4228,5136,5229,4416,2871,828,-1322,-3248,-4619,-5233,-4937,-3831,-2093,-18,2065,3822,
4965,5255,4677,3313,1390,-767,-2796,-4349,-5161,-5129,-4237,-2634,-623,1500,3365,4682,5232,4896,3708,1938,
-215,-2312,-4024,-5067,-5257,-4601,-3195,-1253,871,2845,4329,5097,5003,4050,2388,308,-1836,-3686,-4928,-5388,
-4935,-3706,-1901,206,2261,3920,4897,5049,4296,2817,806,-1346,-3314,-4740,-5423,-5229,-4199,-2502,-454,1623,
3446,4634,5010,4512,3218,1324,-828,-2871,-4467,-5354,-5402,-4579,-3030,-1044,1092,2986,4400,5016,4774,3673,
1924,-193,-2284,-4052,-5149,-5427,-4802,-3460,-1550,585,2610,4141,5018,5010,4134,2532,475,-1656,-3532,-4833,
-5327,-4957,-3778,-1997,106,2190,3909,4972,5199,4561,3157,1199,-976,-2965,-4446,-5163,-5043,-4057,-2422,-368,
1751,3599,4857,5344,4922,3710,1866,-262,-2335,-4001,-4943,-5040,-4299,-2814,-844,1305,3260,4707,5425,5260,
4224,2526,442,-1688,-3499,-4662,-5010,-4480,-3171,-1309,835,2856,4481,5388,5461,4657,3110,1080,-1059,-2983,
-4342,-4949,-4654,-3542,-1801,278,2380,4136,5264,5563,4987,3624,1694,-484,-2490,-4050,-4856,-4813,-3945,-2325,
-306,1804,3680,5000,5536,5209,4025,2195,65,-2050,-3768,-4808,-4989,-4330,-2908,-991,1153,3131,4630,5391,
5285,4326,2656,561,-1589,-3440,-4703,-5107,-4678,-3438,-1619,493,2544,4214,5155,5308,4582,3094,1062,-1115,
-3091,-4506,-5185,-4974,-3927,-2233,-151,1931,3723,4923,5292,4772,3476,1571,-585,-2652,-4270,-5138,-5168,-4347,
-2802,-798,1341,3244,4619,5231,4980,3840,2090,-42,-2179,-3949,-5032,-5283,-4685,-3323,-1410,728,2744,4279,
5111,5082,4213,2578,519,-1640,-3530,-4818,-5336,-4961,-3767,-1995,118,2203,3906,4966,5158,4499,3055,1086,
-1100,-3091,-4571,-5296,-5166,-4201,-2528,-455,1645,3503,4739,5193,4755,3510,1647,-482,-2596,-4224,-5171,-5269,
-4501,-3017,-1041,1109,3036,4487,5180,4984,3945,2214,113,-2005,-3820,-4977,-5300,-4772,-3435,-1573,537,2601,
4188,5095,5146,4333,2770,713,-1449,-3359,-4719,-5317,-5001,-3875,-2104,-35,2067,3815,4929,5179,4607,3206,
1270,-909,-2938,-4464,-5253,-5202,-4273,-2664,-627,1489,3342,4658,5178,4820,3624,1811,-323,-2420,-4134,-5143,
-5298,-4612,-3176,-1212,918,2895,4373,5121,5006,4029,2350,281,-1870,-3703,-4946,-5340,-4874,-3601,-1777,352,
2415,4041,5014,5115,4378,2879,854,-1301,-3263,-4655,-5301,-5080,-3995,-2336,-246,1828,3642,4801,5170,4627,
3318,1430,-723,-2780,-4351,-5236,-5226,-4401,-2840,-832,1283,3177,4564,5145,4866,3735,1972,-149,-2264,-4006,
-5067,-5328,-4709,-3320,-1411,711,2734,4263,5082,5067,4145,2529,482,-1680,-3547,-4833,-5292,-4879,-3696,-1905,
192,2268,3969,5006,5219,4529,3080,1,11,-176,-173,301,784,1623,2324,2655,2536,1383,-283,-2476,
-4823,-6651,-7787,-7791,-6646,-4384,-1430,1556,4174,5716,5959,4900,2617,-198,-3271,-5948,-7811,-8706,-8130,-6480,
-4068,-1084,1766,4387,6206,6766,6194,4055,891,-2561,-5877,-7954,-8700,-8335,-6449,-3284,231,3260,5685,7528,
8031,6999,5140,2851,222,-2248,-3925,-4916,-5122,-3959,-1723,770,3115,5412,7384,8150,7694,6249,3956,1327,
-1307,-3272,-4243,-4183,-2945,-1403,146,2104,4046,5748,6951,7223,6615,4932,2424,-556,-3345,-5157,-5869,-5352,
-4032,-2265,26,2189,4193,5722,5993,4985,2893,506,-1648,-3410,-4284,-4669,-4938,-4644,-3618,-1668,623,2557,
4157,4968,4820,3900,1921,-640,-3207,-5105,-6358,-7184,-6871,-5152,-2247,877,3281,4898,5667,5536,4415,2683,
456,-2181,-4413,-5944,-6710,-6501,-5333,-3100,-428,1973,3900,5087,5581,5187,3514,1066,-1678,-4277,-6011,-6773,
-6510,-5222,-3414,-1134,1000,2633,3921,4481,4338,3346,1447,-877,-3358,-5436,-6649,-6694,-5437,-3249,-642,2204,
4859,6868,8005,7883,6462,4066,1337,-1193,-3164,-4200,-4154,-2951,-975,1297,3484,5375,6793,7205,6755,5715,
3924,1945,-56,-1973,-3171,-3615,-3181,-1948,-313,1615,3407,4811,5653,5845,5429,4129,1973,-684,-3522,-5662,
-6787,-6838,-5697,-3774,-1499,872,2952,4513,5303,5204,4018,2047,-248,-2602,-4488,-5629,-5889,-5144,-3688,-1632,
679,2834,4710,5916,6253,5527,3640,1189,-1451,-3793,-5177,-5646,-5259,-4096,-2378,-121,2256,4176,5379,5452,
4490,2789,635,-1664,-3937,-5624,-6404,-6173,-4938,-3045,-698,1780,3948,5519,6192,5827,4352,2077,-502,-3041,
-5019,-6108,-6203,-5197,-3372,-989,1601,3786,5322,5980,5633,4465,2514,152,-2137,-4074,-5255,-5534,-4993,-3702,
-1843,406,2682,4606,5892,6217,5523,3938,1695,-741,-2924,-4408,-5002,-4680,-3592,-1919,118,2190,4003,5255,
5613,5004,3483,1302,-1113,-3394,-5153,-6096,-6165,-5360,-3846,-1884,293,2268,3755,4557,4397,3303,1441,-924,
-3292,-5246,-6463,-6708,-5994,-4488,-2403,-106,2079,3819,4779,4837,3954,2260,131,-2110,-4052,-5292,-5661,-5105,
-3729,-1793,424,2596,4419,5603,5886,5206,3615,1385,-1049,-3281,-4908,-5621,-5364,-4186,-2309,-79,2160,4061,
5295,5660,4997,3414,1200,-1278,-3541,-5173,-5970,-5807,-4785,-3128,-1057,1094,3045,4515,5187,4999,3941,2113,
-126,-2421,-4317,-5459,-5748,-5098,-3670,-1718,491,2608,4280,5213,5198,4210,2374,-15,-2541,-4759,-6307,-6955,
-6638,-5456,-3613,-1399,827,2725,3984,4412,3900,2475,431,-1881,-4020,-5535,-6197,-5904,-4696,-2826,-523,1850,
3929,5426,6039,5697,4438,2433,106,-2153,-3951,-4947,-5054,-4267,-2760,-794,1359,3378,4952,5809,5736,4725,
2903,584,-1814,-3859,-5203,-5635,-5124,-3788,-1861,376,2568,4406,5558,5798,5072,3460,1287,-1033,-3110,-4524,
-5096,-4727,-3470,-1582,669,2948,4876,6204,6644,6116,4704,2605,240,-1960,-3626,-4452,-4376,-3432,-1789,263,
2441,4409,5830,6465,6157,4928,2972,635,-1676,-3544,-4674,-4929,-4286,-2890,-970,1189,3243,4886,5814,5823,
4894,3131,835,-1563,-3653,-5042,-5531,-5101,-3830,-1950,250,2450,4262,5402,5642,4892,3287,1069,-1359,-3552,
-5165,-5906,-5712,-4669,-2959,-849,1320,3232,4535,5012,4519,3102,1021,-1367,-3652,-5425,-6405,-6445,-5577,-3970,
-1883,408,2545,4233,5151,5114,4120,2326,75,-2184,-4063,-5210,-5450,-4770,-3294,-1268,982,3161,4931,5999,
6177,5376,3752,1579,-747,-2802,-4240,-4839,-4522,-3386,-1616,514,2667,4536,5816,6254,5760,4357,2314,2,
-2171,-3796,-4622,-4533,-3545,-1877,224,2436,4415,5848,6483,6153,4887,2871,473,-1872,-3762,-4889,-5105,-4416,
-2966,-1027,1122,3135,4701,5523,5446,4424,2616,342,-2022,-4014,-5325,-5777,-5317,-4065,-2248,-130,1948,3694,
4788,5009,4298,2727,573,-1761,-3874,-5368,-6017,-5760,-4665,-2926,-823,1345,3229,4549,5043,4588,3229,1202,
-1132,-3350,-5068,-5992,-6005,-5137,-3549,-1491,726,2754,4290,5026,4824,3660,1720,-631,-2976,-4897,-6048,-6300,
-5619,-4153,-2159,62,2173,3858,4842,4913,4063,2411,246,-1988,-3926,-5200,-5608,-5133,-3828,-1931,276,2486,
4359,5602,5982,5394,3927,1858,-428,-2511,-4002,-4672,-4421,-3313,-1544,641,2897,4893,6319,6903,6528,5218,
3176,793,-1499,-3298,-4298,-4369,-3545,-1970,75,2294,4337,5873,6643,6478,5370,3503,1167,-1177,-3129,-4374,
-4721,-4171,-2827,-923,1229,3333,5021,6015,6124,5279,3602,1385,-979,-3065,-4496,-5077,-4746,-3584,-1796,340,
2504,4354,5590,5957,5354,3848,1698,-716,-2949,-4632,-5476,-5406,-4474,-2861,-836,1291,3189,4528,5086,4696,
3383,1362,-1038,-3387,-5269,-6410,-6632,-5961,-4556,-2641,-526,1474,3025,3835,3734,2704,875,-1416,-3775,-5766,
-7066,-7480,-6977,-5660,-3774,-1603,524,2279,3358,3556,2781,1170,-1021,-3394,-5507,-6992,-7616,-7297,-6141,-4328,
-2157,57,1984,3307,3791,3334,1968,-50,-2361,-4543,-6196,-7052,-6998,-6058,-4428,-2341,-110,1912,3423,4153,
3949,2830,962,-1305,-3545,-5378,-6464,-6660,-5941,-4443,-2418,-149,2039,3801,4848,4989,4159,2514,358,-1913,
-3839,-5088,-5452,-4883,-3504,-1531,745,2990,4899,6155,6550,5990,4575,2553,327,-1724,-3183,-3827,-3566,-2460,
-705,1437,3663,5622,7018,7607,7243,5982,4026,1743,-448,-2173,-3132,-3196,-2388,-866,1133,3309,5327,6879,
7669,7535,6451,4585,2269,-87,-2059,-3317,-3687,-3136,-1799,81,2216,4288,5955,6939,7025,6161,4465,2220,
-158,-2265,-3733,-4344,-4054,-2935,-1195,873,2975,4765,5955,6305,5705,4236,2133,-238,-2431,-4093,-4943,-4871,
-3942,-2334,-292,1860,3797,5202,5819,5502,4258,2279,-71,-2375,-4230,-5323,-5515,-4810,-3354,-1408,747,2766,
4332,5165,5068,4043,2238,-56,-2398,-4392,-5706,-6136,-5682,-4430,-2607,-518,1542,3237,4272,4445,3675,2062,
-125,-2496,-4634,-6163,-6862,-6640,-5580,-3864,-1756,414,2312,3641,4139,3688,2331,297,-2046,-4258,-5965,-6864,
-6853,-5956,-4344,-2286,-69,1971,3499,4264,4099,3003,1172,-1084,-3325,-5149,-6252,-6463,-5774,-4333,-2363,-180,
1919,3595,4565,4639,3781,2106,-64,-2347,-4318,-5632,-6085,-5633,-4353,-2476,-274,1930,3811,5060,5445,4868,
3415,1327,-992,-3118,-4676,-5403,-5208,-4158,-2421,-279,1952,3945,5367,5983,5650,4388,2432,128,-2099,-3838,
-4814,-4875,-4054,-2503,-474,1716,3745,5293,6079,5952,4898,3069,797,-1497,-3418,-4612,-4939,-4352,-2983,-1054,
1125,3263,5006,6070,6237,5456,3838,1666,-680,-2746,-4195,-4788,-4464,-3306,-1501,671,2877,4787,6092,6540,
6024,4602,2526,182,-2016,-3664,-4499,-4419,-3469,-1840,213,2380,4314,5705,6312,5976,4731,2765,433,-1855,
-3687,-4781,-4961,-4252,-2792,-824,1349,3409,5022,5889,5848,4852,3060,774,-1592,-3605,-4932,-5385,-4905,-3616,
-1722,482,2651,4466,5621,5873,5165,3588,1414,-953,-3089,-4620,-5297,-5065,-3978,-2240,-132,2023,3892,5164,
5612,5104,3702,1647,-717,-2934,-4649,-5562,-5566,-4699,-3123,-1099,1072,3054,4530,5231,5010,3854,1939,-379,
-2696,-4593,-5753,-6014,-5353,-3912,-1929,287,2423,4125,5121,5183,4302,2588,359,-1990,-4014,-5378,-5871,-5441,
-4193,-2348,-190,1947,3756,4912,5220,4573,3068,965,-1358,-3478,-5018,-5734,-5534,-4484,-2778,-671,1519,3453,
4830,5392,5014,3728,1744,-575,-2812,-4577,-5565,-5650,-4844,-3301,-1277,933,2999,4576,5394,5284,4217,2366,
47,-2298,-4256,-5492,-5835,-5255,-3884,-1963,217,2320,4027,5044,5169,4356,2713,530,-1791,-3835,-5245,-5803,
-5449,-4272,-2468,-336,1814,3650,4871,5259,4696,3252,1189,-1142,-3306,-4932,-5747,-5656,-4704,-3062,-984,1209,
3195,4635,5290,4996,3771,1810,-529,-2831,-4663,-5754,-5927,-5194,-3712,-1735,450,2498,4094,4946,4903,3921,
2153,-93,-2399,-4359,-5629,-6031,-5532,-4227,-2347,-187,1937,3699,4805,5041,4324,2768,640,-1674,-3754,-5227,
-5878,-5614,-4511,-2754,-626,1562,3482,4813,5319,4874,3518,1491,-846,-3065,-4779,-5689,-5695,-4812,-3234,-1190,
1000,3002,4494,5222,5018,3892,2013,-271,-2545,-4393,-5517,-5750,-5085,-3651,-1703,462,2537,4180,5127,5179,
4291,2598,401,-1916,-3917,-5264,-5756,-5340,-4105,-2270,-104,2063,3898,5104,5455,4840,3370,1277,-1046,-3170,
-4726,-5449,-5255,-4200,-2473,-333,1892,3871,5292,5915,5597,4365,2432,148,-2048,-3772,-4737,-4796,-3971,-2425,
-408,1786,3818,5373,6173,6071,5039,3251,1016,-1261,-3167,-4380,-4727,-4185,-2861,-981,1164,3264,4979,6018,
6168,5382,3752,1571,-777,-2849,-4299,-4898,-4584,-3436,-1656,485,2651,4526,5791,6214,5685,4267,2217,-99,
-2260,-3880,-4689,-4589,-3621,-1969,102,2286,4263,5697,6356,6074,4890,2977,691,-1557,-3365,-4453,-4636,-3943,
-2496,-541,1632,3692,5317,6217,6215,5268,3520,1281,-1042,-3030,-4345,-4788,-4310,-3023,-1145,1031,3180,4968,
6089,6334,5617,4054,1896,-459,-2578,-4098,-4778,-4538,-3458,-1725,368,2517,4393,5690,6160,5691,4327,2301,
-32,-2251,-3980,-4924,-4957,-4136,-2595,-585,1582,3574,5068,5787,5598,4479,2593,297,-2011,-3910,-5099,-5395,
-4790,-3404,-1486,675,2747,4402,5345,5392,4490,2778,529,-1831,-3876,-5273,-5810,-5427,-4224,-2410,-288,1837,
3624,4783,5079,4429,2915,792,-1562,-3727,-5321,-6104,-5967,-4981,-3317,-1240,935,2865,4250,4832,4466,3190,
1214,-1104,-3344,-5134,-6147,-6257,-5484,-3978,-1981,209,2256,3823,4644,4551,3507,1687,-588,-2906,-4842,-6077,
-6425,-5853,-4495,-2585,-406,1707,3425,4459,4606,3808,2170,-14,-2358,-4425,-5864,-6446,-6115,-4949,-3159,-1016,
1150,3016,4281,4701,4181,2790,760,-1547,-3700,-5322,-6147,-6058,-5099,-3444,-1344,873,2894,4372,5065,4825,
3645,1736,-551,-2807,-4611,-5667,-5814,-5064,-3562,-1552,668,2755,4393,5290,5275,4330,2586,348,-1948,-3911,
-5201,-5624,-5126,-3830,-1951,216,2357,4138,5262,5519,4829,3290,1170,-1153,-3246,-4750,-5426,-5189,-4116,-2387,
-270,1898,3800,5131,5631,5178,3826,1800,-531,-2755,-4468,-5383,-5385,-4498,-2904,-851,1343,3354,4847,5570,
5368,4239,2364,87,-2187,-4044,-5184,-5431,-4778,-3354,-1410,774,2865,4546,5511,5585,4721,3039,842,-1480,
-3498,-4868,-5383,-4992,-3776,-1958,179,2313,4125,5309,5622,4983,3474,1348,-1015,-3176,-4774,-5540,-5387,-4371,
-2679,-589,1599,3533,4913,5477,5121,3845,1885,-418,-2638,-4382,-5364,-5439,-4623,-3092,-1069,1126,3171,4739,
5564,5487,4482,2707,479,-1784,-3684,-4895,-5241,-4681,-3336,-1437,725,2842,4570,5617,5785,4996,3382,1209,
-1116,-3168,-4604,-5182,-4862,-3695,-1909,229,2390,4250,5503,5913,5369,3953,1894,-436,-2604,-4233,-5055,-4966,
-4013,-2367,-291,1904,3883,5334,6007,5742,4573,2684,420,-1806,-3608,-4667,-4838,-4122,-2660,-689,1490,3565,
5194,6094,6094,5147,3401,1166,-1151,-3131,-4444,-4893,-4422,-3148,-1294,855,2976,4745,5848,6080,5368,3809,
1662,-677,-2787,-4303,-4983,-4759,-3679,-1960,138,2296,4191,5494,5993,5556,4223,2239,-66,-2255,-3954,-4877,
-4905,-4064,-2518,-510,1646,3644,5140,5881,5703,4602,2742,472,-1817,-3699,-4867,-5159,-4544,-3156,-1242,925,
2997,4648,5598,5651,4770,3076,848,-1487,-3530,-4925,-5467,-5097,-3912,-2117,-1,2111,3903,5061,5378,4747,
3258,1167,-1163,-3312,-4905,-5695,-5573,-4606,-2960,-892,1269,3204,4598,5191,4849,3603,1654,-644,-2875,-4645,
-5654,-5765,-4991,-3484,-1490,693,2738,4308,5139,5056,4029,2223,-33,-2341,-4271,-5518,-5882,-5338,-4011,-2122,
24,2110,3824,4848,5001,4226,2623,471,-1844,-3904,-5346,-5952,-5656,-4532,-2771,-655,1494,3352,4620,5054,
4544,3156,1122,-1189,-3365,-5007,-5857,-5791,-4863,-3227,-1151,1055,3054,4522,5215,4975,3807,1911,-377,-2634,
-4455,-5541,-5720,-5004,-3532,-1554,641,2718,4351,5261,5273,4338,2617,408,-1886,-3851,-5149,-5599,-5136,-3879,
-2027,118,2253,4031,5166,5439,4766,3241,1135,-1183,-3281,-4798,-5489,-5276,-4222,-2498,-380,1799,3725,5069,
5587,5161,3829,1817,-511,-2732,-4439,-5367,-5381,-4514,-2938,-896,1296,3308,4806,5549,5368,4267,2414,146,
-2127,-4005,-5179,-5459,-4851,-3465,-1544,619,2703,4372,5340,5425,4565,2884,688,-1647,-3681,-5079,-5623,-5257,
-4066,-2259,-122,2027,3851,5052,5376,4759,3265,1146,-1206,-3379,-4983,-5765,-5628,-4631,-2946,-860,1327,3259,
4646,5235,4876,3616,1664,-643,-2875,-4642,-5652,-5761,-4980,-3477,-1478,705,2744,4311,5134,5055,4046,2260,
26,-2265,-4198,-5449,-5824,-5289,-3962,-2086,85,2196,3930,4983,5147,4371,2760,588,-1752,-3821,-5281,-5882,
-5581,-4441,-2661,-523,1646,3524,4782,5211,4696,3301,1270,-1039,-3198,-4820,-5644,-5558,-4615,-2980,-904,1291,
3271,4735,5423,5183,4032,2155,-105,-2328,-4135,-5201,-5381,-4674,-3206,-1234,956,3045,4684,5596,5611,4688,
2971,755,-1549,-3511,-4808,-5246,-4767,-3488,-1630,528,2654,4433,5539,5796,5106,3570,1450,-867,-2964,-4460,
-5132,-4901,-3823,-2092,5,2173,4067,5383,5891,5469,4155,2179,-108,-2282,-3972,-4889,-4899,-4051,-2487,-448,
1735,3756,5275,6040,5885,4811,2975,729,-1536,-3398,-4554,-4820,-4188,-2784,-849,1329,3424,5094,6068,6146,
5287,3617,1425,-889,-2907,-4286,-4808,-4431,-3235,-1428,685,2813,4615,5791,6116,5501,4026,1949,-381,-2533,
-4125,-4922,-4814,-3864,-2233,-177,1967,3893,5270,5850,5509,4241,2280,-30,-2284,-4082,-5120,-5264,-4524,-3055,
-1084,1064,3071,4611,5415,5312,4283,2481,222,-2075,-4012,-5261,-5632,-5108,-3796,-1930,195,2267,3962,4987,
5133,4350,2743,585,-1736,-3805,-5267,-5897,-5622,-4524,-2791,-699,1426,3277,4532,4958,4439,3048,1002,-1315,
-3501,-5173,-6048,-6015,-5131,-3538,-1502,664,2628,4077,4742,4492,3318,1429,-848,-3093,-4915,-6003,-6198,-5506,
-4063,-2114,54,2110,3724,4627,4636,3722,2016,-181,-2457,-4420,-5725,-6172,-5717,-4468,-2620,-476,1665,3454,
4604,4898,4248,2752,665,-1638,-3721,-5231,-5926,-5708,-4643,-2916,-798,1390,3331,4694,5242,4854,3576,1625,
-645,-2816,-4492,-5393,-5400,-4528,-2939,-891,1314,3341,4877,5659,5517,4462,2660,438,-1792,-3631,-4777,-5040,
-4407,-3004,-1064,1122,3239,4954,5964,6099,5282,3662,1495,-793,-2801,-4177,-4709,-4334,-3139,-1326,816,2974,
4812,6035,6402,5826,4376,2303,-15,-2160,-3746,-4527,-4399,-3425,-1760,303,2469,4394,5772,6365,6024,4773,
2837,536,-1693,-3481,-4517,-4661,-3920,-2444,-467,1692,3721,5276,6105,6029,5016,3229,986,-1322,-3270,-4544,
-4955,-4451,-3158,-1299,850,2945,4675,5722,5896,5127,3521,1348,-998,-3080,-4565,-5199,-4933,-3821,-2072,31,
2163,4012,5249,5658,5123,3714,1660,-671,-2872,-4540,-5429,-5411,-4524,-2942,-915,1247,3203,4646,5313,5056,
3878,1970,-322,-2588,-4444,-5570,-5793,-5129,-3703,-1752,423,2499,4124,5041,5056,4137,2410,193,-2119,-4104,
-5431,-5891,-5440,-4179,-2325,-180,1946,3729,4853,5114,4439,2912,805,-1510,-3613,-5125,-5816,-5607,-4548,-2833,
-737,1424,3324,4654,5178,4764,3468,1495,-793,-2982,-4689,-5632,-5664,-4829,-3275,-1239,948,2973,4502,5271,
5120,4044,2207,-43,-2318,-4187,-5358,-5637,-5012,-3618,-1687,499,2595,4275,5258,5352,4516,2867,689,-1603,
-3618,-4992,-5518,-5138,-3940,-2123,9,2153,3979,5177,5531,4950,3498,1437,-870,-3003,-4590,-5381,-5267,-4297,
-2649,-584,1581,3516,4914,5513,5184,3938,1989,-305,-2541,-4322,-5342,-5466,-4703,-3207,-1222,950,2975,4529,
5359,5271,4259,2474,241,-2031,-3954,-5193,-5558,-5023,-3705,-1830,315,2411,4123,5171,5349,4597,3021,893,
-1406,-3460,-4905,-5528,-5243,-4130,-2388,-285,1863,3724,4995,5433,4937,3570,1550,-747,-2909,-4557,-5404,-5350,
-4438,-2820,-774,1403,3377,4835,5515,5277,4118,2258,1,-2230,-4041,-5115,-5304,-4611,-3172,-1220,941,2996,
4615,5525,5544,4646,2950,771,-1503,-3461,-4772,-5238,-4807,-3569,-1745,375,2487,4258,5381,5656,4982,3469,
1368,-948,-3050,-4585,-5301,-5112,-4088,-2397,-326,1809,3692,5005,5508,5078,3762,1775,-521,-2728,-4436,-5376,
-5434,-4612,-3087,-1094,1060,3037,4539,5286,5126,4051,2235,-9,-2259,-4128,-5299,-5596,-5014,-3656,-1767,380,
2448,4129,5111,5221,4402,2770,607,-1688,-3698,-5087,-5641,-5276,-4107,-2320,-202,1929,3750,4953,5308,4732,
3292,1238,-1068,-3205,-4788,-5568,-5455,-4484,-2840,-784,1381,3307,4692,5298,4986,3772,1865,-400,-2601,-4362,
-5386,-5524,-4785,-3314,-1336,822,2860,4430,5285,5237,4268,2536,339,-1923,-3835,-5081,-5454,-4936,-3620,-1743,
420,2543,4285,5364,5571,4834,3272,1150,-1148,-3198,-4647,-5256,-4969,-3848,-2087,31,2178,4059,5329,5783,
5292,3937,1936,-349,-2509,-4152,-5022,-4991,-4108,-2515,-489,1686,3653,5117,5816,5595,4465,2600,347,-1898,
-3734,-4849,-5072,-4412,-2994,-1055,1116,3189,4827,5749,5784,4867,3172,971,-1332,-3315,-4644,-5122,-4680,-3442,
-1613,514,2632,4405,5536,5806,5152,3642,1553,-755,-2853,-4384,-5100,-4928,-3906,-2232,-167,1976,3865,5197,
5720,5310,4023,2053,-242,-2453,-4183,-5153,-5225,-4425,-2895,-896,1272,3283,4797,5564,5418,4346,2522,272,
-2008,-3900,-5094,-5402,-4812,-3444,-1540,623,2705,4383,5374,5487,4658,3024,858,-1428,-3452,-4843,-5398,-5050,
-3880,-2100,11,2146,3964,5173,5536,4965,3536,1487,-822,-2959,-4555,-5352,-5247,-4286,-2639,-568,1603,3555,
4962,5576,5266,4035,2111,-174,-2402,-4176,-5205,-5343,-4588,-3099,-1112,1071,3110,4683,5530,5469,4479,2719,
503,-1771,-3690,-4945,-5330,-4818,-3516,-1648,491,2591,4317,5371,5562,4814,3244,1114,-1189,-3256,-4723,-5366,
-5100,-4004,-2265,-169,1973,3841,5113,5550,5050,3670,1640,-677,-2868,-4544,-5427,-5407,-4523,-2927,-897,1264,
3224,4667,5339,5092,3932,2048,-224,-2478,-4318,-5432,-5662,-5007,-3593,-1661,492,2533,4142,5045,5062,4149,
2447,259,-2038,-4016,-5351,-5833,-5411,-4175,-2354,-231,1890,3664,4795,5070,4404,2890,790,-1522,-3632,-5171,
-5888,-5706,-4672,-2976,-893,1253,3157,4480,4998,4577,3275,1304,-981,-3183,-4885,-5829,-5879,-5055,-3523,-1524,
640,2629,4137,4894,4740,3679,1868,-356,-2603,-4468,-5636,-5930,-5335,-3971,-2060,99,2191,3878,4870,5000,
4183,2560,405,-1887,-3888,-5267,-5812,-5445,-4261,-2459,-330,1817,3648,4871,5241,4691,3270,1242,-1040,-3146,
-4713,-5479,-5360,-4375,-2723,-660,1501,3436,4833,5445,5140,3946,2059,-182,-2369,-4124,-5134,-5262,-4517,-3038,
-1064,1100,3136,4711,5559,5513,4542,2800,604,-1662,-3581,-4832,-5223,-4712,-3411,-1546,600,2699,4434,5501,
5695,4962,3403,1282,-1004,-3047,-4500,-5126,-4854,-3755,-2023,66,2198,4045,5312,5746,5264,3908,1926,-356,
-2502,-4140,-5012,-4998,-4121,-2542,-526,1630,3586,5048,5736,5512,4379,2521,274,-1961,-3794,-4900,-5130,-4472,
-3061,-1136,1025,3083,4703,5622,5655,4757,3070,884,-1397,-3360,-4685,-5158,-4723,-3507,-1692,420,2522,4289,
5410,5687,5037,3543,1472,-817,-2905,-4430,-5152,-4984,-3973,-2307,-244,1889,3774,5110,5639,5237,3958,2004,
-279,-2483,-4208,-5182,-5258,-4473,-2957,-967,1189,3192,4705,5468,5338,4275,2474,241,-2022,-3907,-5097,-5415,
-4841,-3500,-1609,522,2587,4256,5241,5353,4542,2922,773,-1510,-3524,-4924,-5500,-5163,-4018,-2261,-168,1961,
3771,4972,5340,4775,3353,1314,-988,-3121,-4727,-5537,-5464,-4533,-2905,-864,1288,3219,4625,5234,4927,3715,
1804,-463,-2687,-4463,-5509,-5670,-4951,-3495,-1537,607,2621,4182,5024,4966,3990,2246,36,-2229,-4158,-5419,
-5816,-5328,-4047,-2201,-75,2017,3744,4810,5018,4298,2746,636,-1661,-3720,-5185,-5846,-5592,-4510,-2785,-684,
1459,3332,4619,5082,4612,3265,1270,-1016,-3181,-4837,-5714,-5695,-4821,-3225,-1201,968,2940,4410,5106,4894,
3770,1934,-305,-2533,-4352,-5456,-5680,-5018,-3613,-1668,497,2564,4206,5143,5196,4330,2666,506,-1763,-3721,
-5046,-5528,-5110,-3876,-2041,98,2237,4035,5193,5499,4873,3402,1331,-949,-3032,-4552,-5263,-5078,-4043,-2336,
-246,1913,3833,5182,5723,5335,4065,2124,-142,-2320,-4012,-4956,-5003,-4185,-2651,-647,1530,3534,5065,5847,
5723,4682,2889,673,-1564,-3443,-4629,-4944,-4368,-3015,-1117,1042,3137,4823,5828,5957,5154,3532,1378,-914,
-2931,-4332,-4901,-4554,-3387,-1613,499,2625,4439,5636,5996,5430,3999,1949,-348,-2484,-4080,-4879,-4783,-3831,
-2204,-159,1987,3911,5303,5911,5597,4394,2486,215,-2005,-3787,-4837,-5007,-4294,-2840,-885,1274,3297,4860,
5706,5646,4676,2923,709,-1570,-3502,-4779,-5186,-4691,-3404,-1561,577,2653,4376,5425,5608,4865,3299,1167,
-1127,-3188,-4654,-5297,-5045,-3962,-2240,-162,1965,3804,5060,5496,5013,3658,1662,-630,-2795,-4456,-5350,-5350,
-4490,-2931,-914,1235,3190,4644,5335,5105,3974,2117,-129,-2363,-4193,-5307,-5539,-4882,-3480,-1553,599,2641,
4258,5174,5197,4302,2614,437,-1836,-3794,-5118,-5585,-5159,-3930,-2110,3,2113,3881,5005,5294,4656,3173,
1109,-1175,-3257,-4782,-5506,-5335,-4321,-2649,-585,1559,3458,4797,5338,4953,3690,1750,-519,-2704,-4419,-5374,
-5447,-4651,-3129,-1142,1015,3006,4508,5273,5138,4079,2292,67,-2178,-4044,-5227,-5538,-4959,-3612,-1727,414,
2481,4150,5134,5260,4462,2854,722,-1544,-3552,-4947,-5515,-5184,-4044,-2284,-187,1944,3753,4967,5343,4792,
3390,1366,-916,-3026,-4620,-5426,-5343,-4401,-2781,-743,1404,3337,4739,5347,5041,3840,1945,-296,-2511,-4265,
-5300,-5447,-4727,-3279,-1322,822,2839,4398,5243,5194,4232,2501,318,-1936,-3851,-5112,-5515,-5037,-3769,-1937,
182,2275,3992,5059,5273,4560,3026,927,-1360,-3407,-4877,-5535,-5287,-4217,-2508,-430,1704,3561,4837,5292,
4821,3489,1494,-781,-2940,-4587,-5469,-5465,-4597,-3024,-1016,1138,3099,4552,5252,5039,3930,2104,-122,-2336,
-4159,-5270,-5514,-4876,-3489,-1565,575,2629,4258,5194,5246,4382,2722,582,-1679,-3645,-4977,-5472,-5062,-3851,
-2046,79,2199,3986,5138,5438,4808,3340,1277,-998,-3084,-4610,-5338,-5168,-4153,-2471,-404,1738,3641,4986,
5538,5160,3900,1978,-270,-2451,-4153,-5116,-5194,-4414,-2903,-920,1229,3222,4747,5532,5421,4396,2626,420,
-1813,-3697,-4885,-5221,-4660,-3331,-1449,691,2778,4459,5469,5606,4814,3211,1072,-1204,-3215,-4614,-5184,-4851,
-3700,-1935,160,2283,4105,5311,5686,5144,3731,1715,-567,-2689,-4278,-5095,-5015,-4078,-2470,-439,1703,3633,
5029,5660,5359,4173,2291,42,-2167,-3961,-5009,-5174,-4477,-3034,-1071,1077,3103,4672,5527,5487,4516,2780,
577,-1697,-3635,-4913,-5331,-4852,-3586,-1750,381,2471,4188,5253,5456,4730,3181,1072,-1219,-3276,-4746,-5416,
-5178,-4113,-2405,-339,1785,3631,4895,5356,4886,3547,1572,-707,-2864,-4528,-5429,-5435,-4581,-3024,-1009,1145,
3111,4582,5277,5068,3946,2104,-135,-2369,-4198,-5313,-5562,-4923,-3526,-1598,554,2608,4233,5168,5216,4333,
2672,501,-1763,-3719,-5048,-5526,-5111,-3893,-2089,27,2138,3922,5063,5371,4752,3293,1246,-1018,-3095,-4615,
-5340,-5164,-4154,-2475,-405,1744,3655,5005,5558,5188,3938,2010,-250,-2419,-4134,-5089,-5156,-4357,-2828,-826,
1337,3345,4866,5652,5534,4493,2717,506,-1734,-3601,-4784,-5104,-4528,-3188,-1303,834,2908,4584,5573,5710,
4918,3326,1201,-1067,-3077,-4476,-5048,-4728,-3590,-1835,258,2383,4189,5396,5764,5211,3807,1776,-511,-2636,
-4242,-5058,-4986,-4062,-2447,-415,1722,3646,5036,5646,5327,4129,2230,-26,-2241,-4024,-5066,-5233,-4531,-3094,
-1156,978,2976,4523,5360,5306,4337,2604,407,-1848,-3780,-5058,-5482,-5016,-3766,-1951,154,2225,3931,4981,
5193,4465,2918,811,-1477,-3543,-5023,-5695,-5465,-4409,-2706,-648,1470,3312,4580,5016,4547,3201,1214,-1063,
-3213,-4876,-5763,-5769,-4920,-3365,-1373,766,2708,4155,4850,4629,3521,1702,-521,-2727,-4547,-5660,-5903,-5267,
-3885,-1962,176,2227,3847,4782,4840,3983,2336,192,-2066,-4015,-5346,-5829,-5412,-4197,-2386,-255,1870,3659,
4820,5128,4516,3073,1027,-1228,-3293,-4809,-5522,-5347,-4332,-2651,-587,1560,3467,4812,5373,5017,3782,1880,
-346,-2497,-4186,-5136,-5207,-4416,-2917,-926,1230,3226,4765,5553,5453,4449,2692,513,-1709,-3578,-4752,-5082,
-4518,-3190,-1305,830,2910,4595,5611,5756,4979,3395,1280,-982,-2975,-4373,-4942,-4616,-3475,-1727,355,2469,
4286,5489,5872,5336,3946,1940,-319,-2430,-4026,-4845,-4773,-3857,-2257,-245,1889,3811,5202,5833,5541,4370,
2495,250,-1958,-3742,-4802,-4985,-4299,-2867,-926,1213,3218,4792,5641,5609,4652,2929,745,-1520,-3457,-4732,
-5160,-4696,-3448,-1632,478,2553,4268,5329,5534,4823,3293,1194,-1080,-3136,-4610,-5282,-5059,-4011,-2318,-263,
1854,3702,4971,5432,4973,3649,1677,-598,-2753,-4425,-5333,-5357,-4523,-2978,-979,1162,3127,4587,5295,5093,
3981,2160,-63,-2290,-4122,-5253,-5514,-4889,-3510,-1604,538,2580,4202,5132,5186,4321,2673,524,-1726,-3692,
-5027,-5522,-5130,-3934,-2144,-41,2063,3839,4981,5292,4681,3229,1178,-1094,-3178,-4720,-5466,-5314,-4329,-2679,
-621,1519,3422,4773,5326,4961,3717,1793,-461,-2644,-4366,-5339,-5428,-4658,-3160,-1188,957,2949,4462,5241,
5123,4092,2332,130,-2100,-3978,-5172,-5509,-4957,-3644,-1769,357,2422,4095,5095,5228,4446,2859,745,-1524,
-3532,-4946,-5536,-5223,-4094,-2348,-254,1876,3692,4912,5293,4761,3365,1348,-928,-3049,-4649,-5467,-5398,-4478,
-2866,-832,1306,3244,4644,5262,4975,3791,1912,-325,-2528,-4294,-5340,-5510,-4812,-3372,-1432,714,2724,4299,
5151,5124,4183,2466,302,-1946,-3877,-5148,-5567,-5102,-3845,-2016,102,2200,3925,5004,5233,4531,3007,925,
-1351,-3397,-4865,-5533,-5288,-4231,-2518,-452,1678,3536,4806,5264,4806,3482,1524,-740,-2884,-4536,-5416,-5429,
-4569,-3020,-1019,1124,3069,4521,5226,5022,3919,2102,-113,-2332,-4155,-5279,-5529,-4909,-3529,-1615,518,2567,
4194,5127,5179,4314,2659,518,-1745,-3704,-5039,-5543,-5149,-3943,-2154,-29,2063,3835,4973,5271,4656,3200,
1144,-1117,-3195,-4718,-5443,-5286,-4292,-2630,-580,1554,3440,4781,5326,4963,3726,1819,-421,-2584,-4285,-5253,
-5337,-4564,-3073,-1095,1045,3042,4571,5362,5252,4239,2488,303,-1921,-3791,-4972,-5305,-4752,-3431,-1553,580,
2648,4321,5333,5471,4695,3114,1002,-1251,-3242,-4637,-5202,-4884,-3750,-1987,87,2206,4015,5225,5609,5083,
3697,1708,-548,-2651,-4241,-5060,-4997,-4080,-2483,-459,1674,3598,5002,5634,5351,4192,2332,106,-2086,-3858,
-4912,-5084,-4397,-2959,-1029,1112,3120,4689,5542,5514,4566,2865,694,-1548,-3463,-4730,-5146,-4677,-3427,-1608,
501,2574,4287,5344,5562,4868,3352,1278,-978,-3025,-4498,-5169,-4955,-3908,-2224,-174,1944,3788,5061,5520,
5068,3764,1808,-444,-2585,-4245,-5150,-5176,-4351,-2813,-822,1306,3267,4710,5419,5214,4119,2303,91,-2118,
-3944,-5065,-5323,-4703,-3333,-1437,693,2725,4340,5272,5330,4473,2830,695,-1549,-3510,-4846,-5348,-4968,-3785,
-2012,81,2180,3950,5097,5420,4820,3387,1355,-902,-2981,-4506,-5262,-5117,-4139,-2490,-450,1686,3581,4935,
5492,5138,3909,2007,-225,-2388,-4096,-5070,-5163,-4398,-2901,-936,1203,3186,4707,5495,5388,4379,2638,453,
-1761,-3637,-4830,-5172,-4638,-3332,-1473,643,2707,4376,5385,5532,4770,3204,1109,-1147,-3151,-4566,-5157,-4857,
-3745,-2013,74,2188,4005,5219,5608,5081,3705,1696,-564,-2678,-4281,-5106,-5048,-4143,-2548,-522,1606,3536,
4929,5567,5271,4109,2244,14,-2189,-3959,-5023,-5217,-4536,-3119,-1195,933,2938,4511,5374,5354,4415,2722,
554,-1697,-3633,-4912,-5355,-4910,-3673,-1864,242,2322,4046,5121,5347,4650,3134,1044,-1225,-3278,-4765,-5442,
-5225,-4180,-2493,-435,1683,3536,4808,5271,4821,3504,1546,-704,-2850,-4514,-5414,-5440,-4605,-3067,-1082,1058,
3009,4471,5187,4994,3912,2103,-102,-2313,-4143,-5277,-5541,-4936,-3562,-1657,471,2518,4144,5088,5156,4303,
2660,525,-1732,-3695,-5043,-5546,-5152,-3965,-2180,-68,2036,3816,4963,5272,4661,3223,1177,-1072,-3151,-4680,
-5427,-5286,-4304,-2657,-620,1512,3406,4747,5302,4938,3710,1816,-424,-2587,-4303,-5278,-5382,-4624,-3141,-1175,
961,2948,4466,5252,5143,4127,2371,186,-2045,-3920,-5122,-5469,-4934,-3616,-1761,361,2430,4095,5100,5242,
4466,2885,780,-1488,-3486,-4895,-5476,-5176,-4054,-2320,-245,1865,3673,4875,5269,4741,3366,1376,-878,-2986,
-4578,-5410,-5351,-4442,-2849,-831,1297,3227,4629,5263,4982,3828,1968,-254,-2445,-4212,-5263,-5444,-4755,-3314,
-1390,761,2775,4343,5206,5185,4248,2564,404,-1833,-3745,-5004,-5423,-4959,-3714,-1888,219,2302,4022,5094,
5322,4643,3141,1086,-1148,-3182,-4646,-5303,-5078,-4026,-2339,-282,1843,3697,4975,5448,5013,3716,1775,-463,
-2586,-4233,-5120,-5138,-4296,-2748,-747,1384,3348,4810,5517,5326,4237,2440,245,-1957,-3769,-4881,-5136,-4528,
-3157,-1262,868,2890,4513,5440,5498,4656,3029,904,-1333,-3290,-4629,-5134,-4757,-3584,-1818,271,2361,4125,
5263,5581,4972,3538,1505,-752,-2827,-4362,-5119,-4983,-4015,-2372,-346,1777,3660,4994,5536,5174,3936,2038,
-201,-2367,-4084,-5065,-5178,-4424,-2950,-1007,1112,3075,4580,5357,5244,4233,2492,310,-1904,-3774,-4978,-5340,
-4814,-3527,-1680,417,2466,4121,5118,5260,4489,2913,821,-1431,-3435,-4850,-5444,-5157,-4052,-2338,-253,1844,
3644,4848,5237,4716,3340,1348,-899,-3004,-4607,-5432,-5378,-4483,-2899,-893,1228,3147,4540,5171,4904,3755,
1915,-299,-2469,-4231,-5283,-5471,-4799,-3381,-1467,665,2666,4242,5108,5101,4181,2512,365,-1858,-3768,-5033,
-5471,-5012,-3775,-1958,151,2234,3960,5045,5285,4615,3119,1061,-1181,-3205,-4677,-5340,-5114,-4071,-2385,-327,
1791,3652,4931,5413,4990,3700,1777,-461,-2586,-4229,-5126,-5155,-4322,-2793,-815,1320,3272,4733,5457,5277,
4212,2430,237,-1963,-3783,-4916,-5187,-4585,-3223,-1336,796,2830,4460,5407,5482,4638,3019,900,-1346,-3304,
-4653,-5163,-4786,-3617,-1850,249,2337,4111,5256,5576,4983,3554,1530,-709,-2778,-4314,-5063,-4939,-3974,-2344,
-318,1808,3694,5041,5600,5253,4037,2151,-81,-2236,-3955,-4944,-5063,-4315,-2837,-885,1241,3227,4750,5542,
5448,4444,2703,525,-1700,-3577,-4780,-5138,-4613,-3321,-1464,652,2707,4378,5381,5529,4767,3196,1101,-1148,
-3143,-4558,-5141,-4856,-3756,-2036,35,2133,3946,5157,5554,5040,3676,1690,-560,-2669,-4274,-5116,-5070,-4174,
-2593,-576,1552,3479,4890,5527,5265,4113,2258,39,-2159,-3936,-5000,-5192,-4524,-3101,-1180,949,2953,4524,
5390,5370,4437,2754,602,-1632,-3557,-4832,-5268,-4825,-3599,-1792,302,2373,4085,5160,5386,4711,3210,1154,
-1101,-3136,-4621,-5307,-5103,-4067,-2406,-352,1769,3608,4885,5357,4918,3618,1671,-572,-2709,-4373,-5290,-5324,
-4499,-2971,-988,1136,3086,4542,5246,5052,3963,2163,-35,-2247,-4055,-5190,-5461,-4862,-3511,-1626,492,2517,
4137,5066,5137,4290,2660,537,-1704,-3668,-5015,-5531,-5166,-4002,-2233,-149,1945,3715,4857,5176,4567,3145,
1114,-1144,-3216,-4758,-5516,-5382,-4419,-2779,-751,1362,3251,4589,5134,4787,3557,1665,-563,-2718,-4427,-5403,
-5516,-4757,-3284,-1339,783,2762,4268,5053,4948,3950,2220,53,-2162,-4028,-5229,-5576,-5061,-3766,-1915,197,
2246,3918,4929,5084,4327,2766,678,-1566,-3562,-4970,-5567,-5271,-4164,-2440,-363,1742,3545,4757,5152,4636,
3277,1293,-940,-3037,-4616,-5443,-5382,-4485,-2902,-901,1225,3140,4533,5175,4906,3764,1930,-269,-2441,-4190,
-5249,-5436,-4765,-3352,-1432,689,2692,4273,5139,5132,4222,2549,416,-1811,-3723,-4988,-5423,-4971,-3740,-1930,
177,2252,3965,5054,5287,4619,3124,1073,-1164,-3185,-4651,-5313,-5096,-4054,-2376,-329,1780,3628,4898,5380,
4951,3666,1743,-486,-2601,-4242,-5146,-5173,-4342,-2827,-839,1282,3231,4691,5413,5232,4176,2400,219,-1982,
-3793,-4922,-5194,-4602,-3239,-1357,761,2798,4417,5357,5438,4597,2979,866,-1362,-3311,-4654,-5171,-4795,-3628,
-1866,221,2301,4066,5201,5520,4933,3519,1508,-724,-2791,-4319,-5081,-4956,-3998,-2390,-367,1748,3635,4972,
5535,5197,3993,2112,-97,-2248,-3960,-4948,-5069,-4335,-2870,-929,1191,3164,4683,5473,5375,4382,2657,493,
-1718,-3585,-4782,-5144,-4628,-3345,-1509,596,2634,4298,5302,5450,4694,3138,1054,-1181,-3173,-4590,-5180,-4910,
-3821,-2117,-60,2034,3833,5034,5447,4932,3579,1606,-630,-2734,-4335,-5185,-5144,-4268,-2704,-710,1406,3319,
4728,5356,5100,3958,2118,-92,-2270,-4045,-5109,-5312,-4652,-3239,-1341,773,2775,4333,5198,5188,4268,2602,
456,-1768,-3682,-4962,-5408,-4972,-3769,-1971,117,2179,3886,4964,5207,4540,3055,1014,-1225,-3259,-4747,-5438,
-5243,-4221,-2559,-515,1589,3434,4715,5186,4763,3482,1555,-676,-2807,-4467,-5378,-5425,-4608,-3085,-1118,1001,
2945,4402,5122,4942,3867,2091,-92,-2289,-4094,-5231,-5512,-4926,-3582,-1706,403,2427,4054,5000,5083,4253,
2646,534,-1685,-3653,-4991,-5517,-5162,-4002,-2241,-152,1938,3704,4861,5187,4602,3193,1181,-1056,-3120,-4659,
-5416,-5284,-4319,-2690,-659,1465,3355,4706,5267,4933,3722,1850,-364,-2513,-4222,-5198,-5312,-4564,-3096,-1149,
978,2959,4480,5279,5185,4213,2495,337,-1868,-3739,-4940,-5289,-4779,-3493,-1643,462,2518,4191,5208,5373,
4618,3073,995,-1242,-3238,-4655,-5247,-4957,-3859,-2135,-63,2039,3851,5063,5468,4958,3607,1632,-596,-2697,
-4289,-5127,-5079,-4187,-2613,-612,1515,3432,4834,5477,5217,4082,2252,53,-2118,-3882,-4947,-5146,-4485,-3087,
-1170,950,2956,4530,5396,5392,4476,2809,672,-1555,-3466,-4739,-5183,-4748,-3529,-1726,371,2441,4149,5237,
5463,4795,3300,1252,-988,-3010,-4490,-5164,-4958,-3934,-2266,-231,1873,3715,4984,5460,5035,3755,1834,-391,
-2512,-4161,-5077,-5108,-4297,-2784,-809,1306,3240,4702,5415,5238,4176,2399,223,-1976,-3794,-4926,-5200,-4616,
-3254,-1377,738,2759,4378,5307,5381,4543,2937,820,-1402,-3357,-4698,-5219,-4842,-3690,-1929,147,2229,3980,
5117,5440,4856,3439,1434,-793,-2852,-4385,-5145,-5027,-4074,-2463,-451,1658,3535,4867,5427,5085,3882,2008,
-200,-2344,-4056,-5045,-5168,-4434,-2976,-1041,1074,3042,4546,5334,5236,4242,2524,368,-1844,-3701,-4897,-5260,
-4749,-3471,-1645,449,2479,4142,5148,5290,4542,2998,927,-1298,-3293,-4700,-5301,-5027,-3947,-2240,-195,1894,
3692,4889,5299,4789,3439,1471,-755,-2847,-4450,-5295,-5250,-4380,-2813,-831,1280,3190,4588,5217,4960,3822,
1995,-198,-2374,-4131,-5192,-5399,-4738,-3346,-1440,661,2654,4213,5075,5069,4163,2511,384,-1824,-3730,-5008,
-5454,-5026,-3819,-2025,54,2113,3823,4903,5152,4495,3017,991,-1237,-3262,-4734,-5420,-5221,-4207,-2552,-505,
1596,3444,4727,5219,4808,3546,1627,-582,-2701,-4350,-5264,-5309,-4505,-2988,-1030,1092,3040,4506,5235,5065,
4025,2266,104,-2078,-3885,-5017,-5308,-4727,-3399,-1534,574,2598,4233,5178,5277,4461,2875,786,-1430,-3381,
-4729,-5266,-4921,-3772,-2029,44,2138,3902,5067,5407,4835,3437,1442,-785,-2842,-4388,-5158,-5050,-4106,-2501,
-487,1619,3510,4854,5428,5115,3922,2070,-138,-2280,-3992,-4995,-5133,-4405,-2966,-1039,1066,3044,4562,5374,
5297,4335,2631,484,-1718,-3593,-4810,-5189,-4703,-3438,-1612,484,2529,4195,5221,5400,4660,3130,1060,-1175,
-3178,-4606,-5226,-4971,-3899,-2205,-154,1936,3748,4966,5378,4891,3559,1603,-619,-2725,-4336,-5195,-5186,-4319,
-2777,-797,1315,3232,4643,5299,5063,3952,2142,-57,-2227,-4013,-5102,-5335,-4693,-3315,-1417,693,2702,4286,
5172,5191,4298,2653,524,-1700,-3622,-4919,-5395,-4977,-3782,-1999,87,2150,3871,4971,5233,4595,3129,1100,
-1127,-3161,-4651,-5352,-5178,-4182,-2533,-503,1600,3450,4742,5257,4859,3609,1709,-507,-2637,-4310,-5240,-5305,
-4516,-3017,-1055,1057,3018,4502,5241,5095,4068,2306,135,-2065,-3889,-5045,-5346,-4789,-3465,-1593,515,2550,
4189,5154,5258,4454,2872,788,-1437,-3401,-4761,-5312,-4968,-3841,-2102,-31,2058,3831,5000,5357,4802,3416,
1430,-791,-2866,-4413,-5205,-5114,-4188,-2590,-572,1545,3439,4806,5392,5088,3909,2054,-151,-2299,-4028,-5042,
-5195,-4481,-3040,-1109,1014,2997,4527,5351,5287,4329,2635,490,-1717,-3592,-4817,-5209,-4730,-3477,-1654,438,
2486,4174,5209,5397,4681,3157,1099,-1125,-3139,-4571,-5212,-4966,-3910,-2220,-172,1927,3740,4976,5409,4941,
3618,1669,-561,-2665,-4288,-5158,-5147,-4303,-2760,-780,1332,3259,4680,5339,5122,4017,2213,25,-2153,-3936,
-5025,-5268,-4638,-3264,-1385,727,2723,4306,5201,5228,4360,2729,611,-1604,-3535,-4844,-5320,-4935,-3748,-1976,
91,2159,3889,4997,5276,4646,3193,1178,-1055,-3098,-4606,-5323,-5163,-4184,-2544,-518,1582,3438,4739,5254,
4870,3629,1731,-473,-2602,-4283,-5225,-5308,-4530,-3045,-1098,1013,2971,4455,5200,5070,4058,2319,160,-2031,
-3856,-5018,-5344,-4801,-3491,-1639,464,2502,4153,5131,5254,4481,2914,832,-1388,-3359,-4734,-5298,-4985,-3870,
-2139,-72,2020,3799,4987,5361,4827,3458,1480,-737,-2804,-4372,-5170,-5091,-4182,-2602,-602,1508,3402,4776,
5382,5099,3942,2105,-78,-2226,-3960,-4986,-5160,-4461,-3045,-1133,974,2961,4511,5349,5311,4392,2715,583,
-1623,-3508,-4754,-5167,-4707,-3466,-1659,429,2481,4176,5220,5437,4736,3243,1195,-1033,-3046,-4496,-5149,-4917,
-3882,-2207,-166,1927,3752,4995,5448,5000,3702,1771,-440,-2555,-4190,-5079,-5104,-4277,-2753,-788,1328,3254,
4693,5383,5185,4105,2322,136,-2044,-3849,-4969,-5238,-4630,-3282,-1406,700,2713,4313,5226,5278,4428,2808,
696,-1525,-3469,-4795,-5297,-4922,-3766,-2007,66,2134,3873,5001,5292,4686,3258,1247,-982,-3037,-4557,-5301,
-5169,-4204,-2587,-573,1528,3401,4719,5262,4905,3684,1802,-414,-2551,-4251,-5228,-5334,-4585,-3120,-1183,934,
2898,4401,5173,5067,4069,2340,181,-2020,-3873,-5059,-5411,-4883,-3586,-1749,351,2390,4045,5040,5184,4419,
2873,794,-1429,-3413,-4811,-5399,-5108,-4018,-2298,-241,1851,3643,4846,5241,4726,3373,1408,-816,-2907,-4497,
-5320,-5269,-4378,-2812,-814,1304,3212,4609,5233,4967,3829,1994,-200,-2359,-4116,-5162,-5355,-4682,-3270,-1358,
754,2751,4312,5164,5145,4226,2561,432,-1781,-3675,-4941,-5372,-4927,-3704,-1901,188,2252,3967,5036,5266,
4595,3105,1065,-1164,-3191,-4656,-5327,-5123,-4099,-2429,-387,1719,3562,4833,5307,4873,3589,1665,-556,-2676,
-4326,-5234,-5264,-4447,-2930,-959,1156,3097,4548,5252,5074,4006,2230,54,-2132,-3944,-5073,-5355,-4759,-3419,
-1546,558,2580,4198,5137,5206,4375,2771,666,-1557,-3507,-4849,-5367,-5009,-3852,-2096,-25,2052,3805,4948,
5263,4670,3254,1256,-981,-3042,-4575,-5325,-5203,-4245,-2635,-611,1494,3362,4693,5245,4900,3691,1810,-387,
-2534,-4243,-5229,-5345,-4608,-3148,-1209,903,2877,4388,5171,5080,4094,2376,222,-1981,-3836,-5042,-5403,-4897,
-3613,-1776,331,2373,4046,5052,5210,4464,2919,847,-1379,-3371,-4772,-5373,-5090,-4003,-2288,-226,1869,3666,
4885,5285,4790,3447,1491,-728,-2816,-4408,-5243,-5196,-4314,-2754,-759,1358,3277,4674,5325,5077,3953,2141,
-43,-2209,-3962,-5022,-5229,-4565,-3167,-1259,853,2853,4427,5303,5303,4409,2753,633,-1576,-3482,-4749,-5192,
-4759,-3538,-1741,343,2407,4119,5204,5455,4792,3324,1297,-931,-2954,-4429,-5112,-4918,-3909,-2250,-215,1886,
3726,5008,5494,5089,3825,1912,-294,-2416,-4076,-5003,-5052,-4260,-2755,-800,1317,3256,4720,5441,5280,4231,
2469,294,-1887,-3709,-4850,-5147,-4574,-3244,-1385,714,2736,4357,5294,5376,4559,2968,874,-1346,-3304,-4651,
-5191,-4855,-3718,-1979,81,2154,3912,5063,5390,4820,3420,1432,-792,-2857,-4405,-5175,-5090,-4153,-2564,-556,
1546,3428,4768,5349,5022,3833,1973,-232,-2377,-4099,-5103,-5235,-4518,-3079,-1156,952,2927,4448,5249,5181,
4219,2517,370,-1831,-3699,-4913,-5297,-4803,-3539,-1725,365,2410,4089,5115,5300,4579,3067,1013,-1210,-3206,
-4621,-5250,-4997,-3932,-2234,-187,1908,3719,4953,5385,4911,3592,1654,-558,-2654,-4263,-5121,-5104,-4244,-2697,
-714,1400,3316,4738,5397,5168,4063,2263,82,-2080,-3853,-4937,-5168,-4529,-3150,-1265,840,2849,4423,5311,
5331,4458,2827,714,-1500,-3414,-4716,-5186,-4781,-3592,-1821,263,2327,4058,5157,5427,4788,3334,1308,-921,
-2965,-4460,-5173,-5007,-4012,-2373,-342,1759,3613,4906,5419,5019,3769,1862,-355,-2489,-4167,-5113,-5192,-4419,
-2932,-988,1121,3070,4545,5287,5152,4118,2369,203,-1996,-3838,-5004,-5329,-4780,-3475,-1628,468,2496,4135,
5099,5209,4420,2842,744,-1483,-3456,-4834,-5397,-5083,-3961,-2225,-165,1921,3693,4865,5223,4666,3278,1295,
-932,-3010,-4575,-5367,-5280,-4364,-2773,-767,1346,3239,4603,5204,4900,3733,1880,-311,-2467,-4199,-5226,-5383,
-4683,-3249,-1325,793,2782,4323,5154,5108,4166,2473,332,-1874,-3757,-4998,-5397,-4916,-3662,-1844,260,2320,
4023,5067,5265,4558,3051,990,-1238,-3246,-4679,-5322,-5083,-4025,-2335,-286,1815,3637,4884,5329,4863,3555,
1622,-599,-2701,-4327,-5201,-5202,-4362,-2827,-847,1268,3194,4620,5302,5092,3996,2197,13,-2168,-3955,-5064,
-5309,-4688,-3313,-1428,679,2694,4285,5189,5223,4360,2725,611,-1620,-3550,-4862,-5346,-4957,-3771,-1997,81,
2150,3885,4994,5281,4655,3215,1197,-1033,-3084,-4585,-5318,-5163,-4185,-2552,-523,1581,3438,4748,5277,4903,
3670,1774,-435,-2575,-4260,-5217,-5308,-4539,-3054,-1110,1014,2976,4465,5224,5099,4087,2347,184,-2010,-3849,
-5022,-5351,-4810,-3503,-1647,449,2489,4137,5112,5240,4465,2903,828,-1387,-3354,-4727,-5293,-4986,-3870,-2147,
-85,2000,3787,4973,5346,4815,3450,1483,-736,-2806,-4374,-5172,-5104,-4196,-2606,-603,1508,3412,4788,5400,
5116,3956,2118,-76,-2231,-3970,-4996,-5166,-4481,-3057,-1144,970,2953,4501,5333,5298,4372,2695,562,-1643,
-3534,-4783,-5200,-4741,-3506,-1705,381,2430,4128,5179,5397,4706,3212,1165,-1062,-3078,-4530,-5195,-4974,-3942,
-2263,-230,1865,3692,4943,5399,4953,3656,1729,-492,-2606,-4247,-5141,-5166,-4338,-2819,-857,1247,3172,4604,
5293,5096,4020,2238,62,-2113,-3911,-5025,-5297,-4696,-3350,-1479,615,2624,4216,5129,5181,4339,2723,622,
-1595,-3533,-4861,-5367,-5001,-3838,-2087,-7,2057,3801,4930,5232,4628,3202,1193,-1031,-3082,-4605,-5350,-5214,
-4253,-2632,-613,1487,3357,4679,5224,4874,3661,1785,-416,-2543,-4236,-5206,-5314,-4570,-3108,-1175,942,2903,
4405,5186,5092,4103,2394,243,-1941,-3790,-4979,-5335,-4808,-3524,-1683,414,2458,4120,5126,5276,4534,2989,
919,-1300,-3276,-4676,-5262,-4972,-3875,-2158,-100,1989,3789,4997,5392,4888,3544,1592,-631,-2713,-4295,-5117,
-5070,-4182,-2616,-625,1484,3389,4780,5418,5160,4029,2212,24,-2137,-3893,-4953,-5148,-4485,-3083,-1180,934,
2930,4495,5360,5353,4444,2784,659,-1554,-3459,-4734,-5173,-4737,-3518,-1723,367,2425,4145,5217,5457,4789,
3313,1277,-948,-2969,-4440,-5117,-4921,-3903,-2244,-209,1889,3729,5007,5491,5071,3800,1889,-331,-2445,-4100,
-5013,-5060,-4256,-2742,-782,1332,3277,4735,5455,5289,4229,2459,283,-1906,-3724,-4859,-5145,-4561,-3226,-1354,
756,2779,4396,5330,5409,4587,2982,878,-1345,-3292,-4638,-5159,-4808,-3659,-1911,159,2233,3994,5144,5468,
4886,3479,1478,-755,-2819,-4363,-5131,-5019,-4076,-2461,-439,1669,3552,4899,5466,5137,3934,2060,-151,-2308,
-4029,-5027,-5159,-4431,-2978,-1043,1071,3047,4562,5360,5274,4291,2577,421,-1785,-3659,-4872,-5251,-4750,-3482,
-1654,435,2481,4146,5159,5319,4584,3043,975,-1258,-3250,-4675,-5294,-5033,-3955,-2265,-210,1885,3683,4902,
5310,4811,3468,1507,-722,-2822,-4431,-5286,-5260,-4389,-2833,-843,1269,3182,4582,5227,4974,3842,2020,-174,
-2355,-4115,-5190,-5404,-4754,-3367,-1467,642,2641,4213,5080,5091,4193,2535,406,-1812,-3728,-5017,-5476,-5055,
-3852,-2063,19,2090,3817,4904,5158,4500,3042,1001,-1236,-3272,-4759,-5458,-5272,-4268,-2606,-573,1527,3377,
4664,5154,4754,3483,1576,-643,-2766,-4429,-5349,-5410,-4606,-3105,-1147,965,2913,4376,5103,4946,3904,2146,
-17,-2205,-4027,-5175,-5471,-4907,-3576,-1713,393,2419,4048,5004,5101,4299,2710,616,-1607,-3566,-4923,-5467,
-5124,-3985,-2243,-167,1915,3686,4847,5187,4621,3229,1233,-989,-3057,-4592,-5371,-5263,-4329,-2726,-718,1394,
3276,4624,5210,4890,3708,1853,-341,-2489,-4199,-5210,-5350,-4638,-3198,-1271,842,2819,4353,5168,5107,4154,
2457,318,-1888,-3761,-4985,-5373,-4879,-3620,-1798,300,2354,4029,5070,5252,4540,3016,957,-1267,-3259,-4686,
-5303,-5048,-3973,-2279,-231,1861,3676,4904,5334,4858,3542,1603,-616,-2710,-4312,-5171,-5156,-4295,-2755,-763,
1344,3267,4685,5357,5133,4037,2241,63,-2115,-3888,-4977,-5207,-4578,-3194,-1304,810,2823,4406,5300,5336,
4458,2820,702,-1507,-3426,-4729,-5203,-4794,-3600,-1824,260,2324,4058,5156,5431,4801,3360,1341,-878,-2921,
-4411,-5130,-4967,-3979,-2351,-324,1777,3639,4937,5460,5080,3847,1954,-249,-2377,-4056,-5004,-5086,-4318,-2836,
-887,1225,3179,4664,5415,5279,4257,2514,353,-1840,-3675,-4837,-5159,-4611,-3304,-1457,642,2667,4304,5270,
5383,4594,3018,931,-1291,-3255,-4635,-5190,-4884,-3771,-2049,8,2089,3864,5034,5406,4859,3483,1503,-722,
-2803,-4371,-5185,-5110,-4207,-2624,-625,1480,3373,4750,5345,5056,3888,2040,-164,-2325,-4068,-5102,-5270,-4581,
-3153,-1244,865,2850,4383,5215,5172,4228,2544,399,-1810,-3701,-4948,-5363,-4898,-3672,-1865,222,2273,3956,
5005,5214,4518,3016,969,-1258,-3271,-4729,-5387,-5165,-4125,-2450,-405,1690,3513,4767,5209,4757,3455,1521,
-703,-2817,-4452,-5335,-5353,-4516,-2981,-1008,1102,3031,4463,5154,4947,3852,2063,-119,-2302,-4086,-5197,-5451,
-4844,-3482,-1600,504,2515,4121,5036,5092,4238,2617,503,-1707,-3654,-4969,-5469,-5091,-3914,-2148,-60,2018,
3765,4897,5196,4588,3161,1145,-1085,-3134,-4652,-5385,-5233,-4251,-2616,-582,1533,3406,4734,5269,4912,3684,
1804,-406,-2543,-4233,-5189,-5282,-4516,-3037,-1086,1033,3002,4503,5278,5162,4171,2442,285,-1911,-3765,-4946,
-5277,-4747,-3450,-1596,506,2552,4208,5204,5347,4575,3017,939,-1290,-3273,-4670,-5245,-4938,-3828,-2098,-27,
2067,3865,5060,5445,4917,3554,1574,-650,-2739,-4315,-5135,-5071,-4168,-2585,-582,1539,3444,4832,5454,5180,
4029,2193,-2,-2164,-3915,-4963,-5146,-4472,-3064,-1145,972,2969,4527,5378,5358,4430,2755,619,-1600,-3499,
-4759,-5188,-4740,-3511,-1704,389,2455,4151,5225,5436,4756,3254,1205,-1031,-3045,-4511,-5171,-4953,-3920,-2247,
-210,1887,3722,4978,5442,5004,3717,1792,-430,-2544,-4183,-5085,-5104,-4284,-2766,-790,1321,3250,4702,5403,
5215,4144,2363,189,-2002,-3812,-4934,-5197,-4604,-3239,-1360,753,2770,4381,5303,5366,4520,2909,793,-1425,
-3372,-4705,-5218,-4834,-3675,-1911,164,2243,3987,5117,5431,4839,3419,1411,-812,-2866,-4393,-5143,-5018,-4062,
-2448,-435,1671,3543,4870,5423,5075,3868,1992,-214,-2355,-4061,-5043,-5162,-4423,-2962,-1026,1085,3051,4551,
5334,5232,4234,2513,358,-1851,-3703,-4896,-5255,-4741,-3460,-1633,459,2486,4148,5150,5289,4538,2992,920,
-1302,-3296,-4700,-5297,-5021,-3939,-2233,-189,1899,3696,4890,5299,4788,3436,1466,-757,-2846,-4450,-5294,-5248,
-4377,-2810,-829,1280,3190,4588,5216,4960,3821,0,1,1,0,-1,0,0,0,0,
};