{
 "metadata": {
  "name": ""
 },
 "nbformat": 3,
 "nbformat_minor": 0,
 "worksheets": [
  {
   "cells": [
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "%pylab inline\n",
      "from scipy import signal"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Populating the interactive namespace from numpy and matplotlib\n"
       ]
      }
     ],
     "prompt_number": 1
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "This notebook contains a detailed description of implementing classic second order filter sections using matrix arithmetic.\n",
      "The matrix formulation lends itself to robust, fast evaluation on SIMD architectures. Second order filter sections are\n",
      "extremely versatile, as a single section can implement many different types of filter, including lowpass, highpass,\n",
      "bandpass, notch, bell, low shelf, and high shelf. Being second order, rolloff is 12dB/octave. For sharper frequency\n",
      "response, higher order IIR filters can be decomposed into multiple second order sections.\n",
      "\n",
      "All second order filters can be described using two state variables. The evolution of the state is a 2x2 matrix. In addition,\n",
      "there is a 2-vector describing the contribution of the input to the state, a 2-vector describing \"reading out\" the state to\n",
      "the output, and a scalar for the zero-delay contribution of the input to the output. For mathematical convenience, we group\n",
      "the last two into a single 3-vector. Thus, a filter is described as the tuple $(\\mathbf{A}, B, C)$, and each step is as follows:\n",
      "\n",
      "$$\n",
      "\\begin{align}\n",
      "    out_n & = C \\cdot concat([[x_n], y_n]) \\\\\n",
      "    y_{n+1} & = B \\cdot x_n + \\mathbf{A} \\cdot y_n \\\\\n",
      "\\end{align}\n",
      "$$\n",
      "\n",
      "Where the $\\cdot$ notation represents dot product, vector times scalar, or matrix times vector multiplication, respectively.\n",
      "\n",
      "Question: would it be more convenient to have a single 3x3 matrix?\n",
      "\n",
      "There is some redundancy in this representation. Obviously, multiplying B times some scalar, and dividing C by the same,\n",
      "is a filter with the same results. More subtly, the y vector can be transformed by any non-degenerate linear transformation.\n",
      "However, these transforms do matter when the filter parameters are modulated, which is especially common in synthesizers, and\n",
      "also matter for roundoff behavior (particularly important when evaluating the filters using 32 bit floating point arithmetic).\n",
      "\n",
      "The reference code for evaluating a filter in this form is straightforward:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "def eval(filt, inp):\n",
      "    A, B, C = filt\n",
      "    result = []\n",
      "    y = zeros(2)\n",
      "    for x in inp:\n",
      "        result.append(dot(C, concatenate([[x], y])))\n",
      "        y = B * x + dot(A, y)\n",
      "    return array(result)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 2
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Now how do we get a filter in this form? Starting from standard biquad coefficients is, again, pretty easy. Here, the\n",
      "y vector represents the two state variables in transposed direct form II. For review, the transfer function of this\n",
      "filter is:\n",
      "\n",
      "$$ H(z) = \\frac{b_0 + b_1 z^{-1} + b_2 z^{-2}}{1  + a_1 z^{-1} + a_2 z^{-2}} $$"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "def from_biquad(coefs):\n",
      "    b0, b1, b2, a1, a2 = coefs\n",
      "    A = array([[-a1, 1], [-a2, 0]])\n",
      "    B = array([b1 - a1 * b0, b2 - a2 * b0])\n",
      "    C = array([b0, 1, 0])\n",
      "    return A, B, C"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 3
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "We can test this against a straightforward implementation (in this case, direct form I)."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "def biquad(coefs, inp):\n",
      "    b0, b1, b2, a1, a2 = coefs\n",
      "    out = zeros(len(inp))\n",
      "    x1 = 0\n",
      "    x2 = 0\n",
      "    y1 = 0\n",
      "    y2 = 0\n",
      "    for i in range(len(inp)):\n",
      "        x = inp[i]\n",
      "        y = b0 * x + b1 * x1 + b2 * x2 - a1 * y1 - a2 * y2\n",
      "        out[i] = y\n",
      "        x2, x1 = x1, x\n",
      "        y2, y1 = y1, y\n",
      "    return out\n",
      "\n",
      "impulse = zeros(100)\n",
      "impulse[10] = 1\n",
      "coefs = 1.0207, -1.7719, .9376, -1.7719, 0.9583  # peaking\n",
      "plot(biquad(coefs, impulse))\n",
      "plot(eval(from_biquad(coefs), impulse))\n",
      "show()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
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wIUaMGAHTNDF16lQkJydj0aJFAIDMzEyfTLIpmTAQVGcJSIVHsAEQUeDzKgAAYNSoURg1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\nxQAgIpIUA4CISFL/H9fdRioZk9ZlAAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x109465510>"
       ]
      }
     ],
     "prompt_number": 4
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "State Variable Filter design"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "However, biquads are not necessarily your best bet for designing second order filters, for two reasons. First, they don't\n",
      "modulate well, because the state space for one set of filter parameters probably doesn't make sense with a different filter.\n",
      "Second, roundoff behavior can be bad. We'll analyze that in more detail later.\n",
      "\n",
      "A much better design paradigm is to discretize the State Variable Filter. Historically, many people used the naive\n",
      "discretization, originally popularized by Hal Chamberlin's book, _Musical Applications of Microprocessors_ (see\n",
      "<https://ccrma.stanford.edu/~jos/svf/svf.pdf>), but this only works well at low frequencies and becomes\n",
      "unstable for frequencies around one sixth the sampling rate, or even worse for higher resonance values. Fortunately,\n",
      "Andrew Simper of Cytomic has done a thorough development of discretization using trapezoidal integration. This is equivalent\n",
      "to the bilinear transform, which is not exactly trivial because the trapezoidal integration (unlike the naive discretization)\n",
      "contains a delay-free loop. But fortunately Simper has done all the work for us:\n",
      "\n",
      "[Solving the continuous SVF equations using trapezoidal integration and equivalent currents](http://www.cytomic.com/files/dsp/SvfLinearTrapOptimised2.pdf)\n",
      "\n",
      "For simplicity, we'll start with just a lowpass filter. As we'll see later, the full derivation is very general and can\n",
      "do the entire RBJ suite of filter designs."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "def svf_lp(f, res):\n",
      "    g = tan(pi * f)\n",
      "    k = 2 - 2 * res # 1/Q\n",
      "    a1 = 1/(1 + g * (g + k))\n",
      "    a2 = g * a1\n",
      "    a3 = g * a2\n",
      "    A = array([[2*a1 - 1, -2*a2],\n",
      "               [2*a2, 1 - 2*a3]])\n",
      "    B = array([2 * a2, 2 * a3])\n",
      "    C = array([a3, a2, 1 - a3])\n",
      "    return A, B, C"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 5
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Simper prefers a resonance control that ranges from 0 to 1. If you prefer the classic Q, just use this conversion:\n",
      "\n",
      "$$ res = 1 - .5/Q $$\n",
      "\n",
      "Let's test the filter out:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "def db(x):\n",
      "    return 20 * log(x)/log(10)\n",
      "def plot_fr(filter):\n",
      "    impulse = concatenate([[1], zeros(5000)])\n",
      "    w, h = signal.freqz(eval(filter, impulse))\n",
      "    semilogx(w, db(abs(h)))\n",
      "axis([3e-3, pi, -60, 10])\n",
      "for f in [0.00316, 0.01, 0.0316, 0.1, 0.316, 0.49]:\n",
      "    plot_fr(svf_lp(f, 0.293))\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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OHXH69GkcP34cderUQXR0NAAgOTkZsbGxSE5ORkJCAkaPHg2N1MadEdEMHswm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\n",
       "text": [
        "<matplotlib.figure.Figure at 0x1094af490>"
       ]
      }
     ],
     "prompt_number": 6
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "This is the classic BLT lowpass filter response, with complete attenuation at Nyquist and the characteristic frequency warping."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "axis([3e-3, pi, -60, 10])\n",
      "for f in [0.00316, 0.01, 0.0316, 0.1, 0.316, 0.49]:\n",
      "    plot_fr(svf_lp(f, 0.8))\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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QeaX6AaDpSpMmAZMnC62EV+b6+GDhgwfIN4G8dG0yXVjIhaFX7OyAZcvoAqkJ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\nSCQY6EREIvEfzyfKNLMYRGYAAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x109738650>"
       ]
      }
     ],
     "prompt_number": 7
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "As promised, the rest of the RBJ designs."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "def svf_core(f, res, m, shelfA = 1):\n",
      "    k = 2 - 2 * res\n",
      "    g = tan(pi * f) * shelfA\n",
      "    a1 = 1/(1 + g * (g + k))\n",
      "    a2 = g * a1\n",
      "    a3 = g * a2\n",
      "    A = array([[2*a1 - 1, -2*a2],\n",
      "               [2*a2, 1 - 2*a3]])\n",
      "    B = array([2 * a2, 2 * a3])\n",
      "    C_v0 = array([1, 0, 0])\n",
      "    C_v1 = array([a2, a1, -a2])\n",
      "    C_v2 = array([a3, a2, 1 - a3])\n",
      "    C = m[0] * C_v0 + m[1] * C_v1 + m[2] * C_v2\n",
      "    return A, B, C\n",
      "\n",
      "def svf_lp(f, res):\n",
      "    return svf_core(f, res, [0, 0, 1])\n",
      "\n",
      "def svf_bp(f, res):\n",
      "    return svf_core(f, res, [0, 1, 0])\n",
      "\n",
      "def svf_hp(f, res):\n",
      "    k = 2 - 2 * res\n",
      "    return svf_core(f, res, [1, -k, -1])\n",
      "\n",
      "def svf_notch(f, res):\n",
      "    k = 2 - 2 * res\n",
      "    return svf_core(f, res, [1, -k, 0])\n",
      "\n",
      "def svf_peak(f, res):\n",
      "    k = 2 - 2 * res\n",
      "    return svf_core(f, res, [1, -k, -2])\n",
      "\n",
      "def svf_bell(f, Q, gaindB):\n",
      "    A = 10 ** (gaindB / 40.)\n",
      "    k = 1/(Q * A)\n",
      "    return svf_core(f, 1 - 0.5 * k, [1, k * (A * A - 1), 0])\n",
      "\n",
      "def svf_lowshelf(f, Q, gaindB):\n",
      "    A = 10 ** (gaindB / 40.)\n",
      "    k = 1./Q\n",
      "    return svf_core(f, 1 - 0.5 * k, [1, k * (A - 1), A * A - 1], 1/sqrt(A))\n",
      "\n",
      "def svf_highshelf(f, Q, gaindB):\n",
      "    A = 10 ** (gaindB / 40.)\n",
      "    A2 = A * A\n",
      "    k = 1./Q\n",
      "    return svf_core(f, 1 - 0.5 * k, [A2, k * (A - A2), 1 - A2], sqrt(A))"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 8
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "axis([3e-3, pi, -60, 10])\n",
      "f0 = 0.013\n",
      "res = 0.293\n",
      "plot_fr(svf_lp(f0, res))\n",
      "plot_fr(svf_bp(f0, res))\n",
      "plot_fr(svf_hp(f0, res))\n",
      "plot_fr(svf_notch(f0, res))\n",
      "plot_fr(svf_peak(f0, res))\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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3HnyDPYP2cC7lHMHTgpm/cz5WZaeeUMIhJKE7GbPVzP+2/I+Q/4WQbk4nZkgM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\nCCGchCR0IYRwEpLQhRDCSfw/sm8K72fgvp8AAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x1097dcbd0>"
       ]
      }
     ],
     "prompt_number": 9
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "axis([3e-3, pi, -40, 40])\n",
      "for gain in range(-30, 31, 10):\n",
      "    plot_fr(svf_bell(f0, .5, gain))"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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tYpQmlsJhiANcxrvArh/vjdcFaQiliaUQbxajKL4IdmF2cJnoAvvB9tA30t14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\nAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x109450510>"
       ]
      }
     ],
     "prompt_number": 10
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "axis([3e-3, pi, -40, 40])\n",
      "for gain in range(-30, 31, 10):\n",
      "    plot_fr(svf_lowshelf(f0, .707, gain))\n",
      "    plot_fr(svf_highshelf(f0, .707, gain))"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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LH8L6sqCAf+zfz3Pr1zP9uefQTJgAM2bARRc12lXP6cwnNfVqfHws9Ogx78TN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\nwvlNDs2axq+9d7uTfTuqj71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H4a676h4TQmCz7aOsbBVW63oqKjbjcGTj798PP7+++Pom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\nAAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x1097aa810>"
       ]
      }
     ],
     "prompt_number": 11
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Fast matrix evaluation"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "The matrix form above is reasonably efficient to implement. However, to maximally take advantage of the power of modern\n",
      "SIMD, we can construct a single 4x4 matrix that computes _two_ samples in a single iteration. Thus, the iteration of the\n",
      "state is represented by the square of the $\\mathbf{A}$ matrix above."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "def mk4mat(filter):\n",
      "    A, B, C = filter\n",
      "    AA = dot(A, A)\n",
      "    AB = dot(A, B)\n",
      "    CA = dot(C[1:], A)\n",
      "    cb = dot(C[1:], B)\n",
      "    return array([[C[0], 0, C[1], C[2]],\n",
      "                 [cb, C[0], CA[0], CA[1]],\n",
      "                 [AB[0], B[0], AA[0][0], AA[0][1]],\n",
      "                 [AB[1], B[1], AA[1][0], AA[1][1]]])"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 12
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Then, evaluation is again quite simple, each iteration processing two samples. The central 4x4 matrix-vector multiply is especially\n",
      "well suited for implementation in NEON, see cpp/src/neon_iir.s for NEON assembly language."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "def eval4(A, inp):\n",
      "    out = zeros(len(inp))\n",
      "    y = zeros(4)\n",
      "    for i in range(0, len(inp), 2):\n",
      "        y[0:2] = inp[i:i+2]\n",
      "        y = dot(A, y)\n",
      "        out[i:i+2] = y[0:2]\n",
      "    return out"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 13
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Let's test it works the same:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "filter = svf_bp(f0, res)\n",
      "plot(eval(filter, impulse))\n",
      "plot(eval4(mk4mat(filter), impulse))\n",
      "show()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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U2xC5gVN/IiqVChs2bMD06dMhiiIWLVqE2NhYbNx4+Z49S5YsQXp6OnJzcxEd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\ngYiI7Pw/DezT/hOEZ6EAAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x109489d90>"
       ]
      }
     ],
     "prompt_number": 14
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "With the 4x4 matrix formulation, each iteration performs 16 multiplies and 12 adds to compute two samples, or 8 multiplies and\n",
      "6 adds per sample. This is slightly better than the 9 multiplies and 8 adds for the most general form of Simper's code,\n",
      "and roughly the same as most of the specialized forms. However, raw number of multiply/add operations tells only a small part\n",
      "of the speed story. All these operations are grouped for easy computation in 4x wide SIMD instructions. On NEON, this yields\n",
      "1.47ns per IIR on a Nexus 5, which is 6x a straightforward scalar implementation of direct form I biquad evaluation."
     ]
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Error measurement"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "We want to evaluate these filters in floating point arithmetic for speed. IIR filters are notoriously finicky about\n",
      "roundoff error.\n",
      "\n",
      "For these tests, we'll run a filter in double math, then the same filter in float, and compare."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "def eval4_f32(A, inp):\n",
      "    A = array(A, dtype=float32)\n",
      "    inp = array(inp, dtype=float32)\n",
      "    out = zeros(len(inp), dtype=float32)\n",
      "    y = zeros(4, dtype=float32)\n",
      "    for i in range(0, len(inp), 2):\n",
      "        y[0:2] = inp[i:i+2]\n",
      "        y = dot(A, y)\n",
      "        out[i:i+2] = y[0:2]\n",
      "    return out"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 15
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "impulse = concatenate([[1], zeros(99)])\n",
      "filter = mk4mat(svf_lp(.1, .75))\n",
      "plot(eval4(filter, impulse) - eval4_f32(filter, impulse))\n",
      "grid(True)\n",
      "show()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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8ywmwfigxFhJjITEWaviU2O12O0K+v4d/0qRJyM/P7/A5Wquxu4uNBR54AHji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\niZ2IKMAwsRMRBRgmdiKiAMPETkQUYP4fhVWZnhkBSo8AAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x109b1fd50>"
       ]
      }
     ],
     "prompt_number": 16
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "For comparison, here's a similar test with biquad:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "# Adapted directly from Audio EQ Cookbook, by Robert Bristow-Johnson\n",
      "def rbj_lpf(f, res):\n",
      "    w0 = 2 * pi * f\n",
      "    Q = 1/(2 - 2 * res)\n",
      "    cw0 = cos(w0)\n",
      "    b1 = 1 - cw0\n",
      "    b0 = .5 * b1\n",
      "    b2 = b0\n",
      "    alpha = sin(w0)/(2*Q)\n",
      "    a0 = 1 + alpha\n",
      "    a1 = -2 * cw0\n",
      "    a2 = 1 - alpha\n",
      "    ra0 = 1/a0\n",
      "    return b0 * ra0, b1 * ra0, b2 * ra0, a1 * ra0, a2 * ra0\n",
      "\n",
      "def biquad_f32(coefs, inp):\n",
      "    b0, b1, b2, a1, a2 = map(float32, coefs)\n",
      "    out = zeros(len(inp), dtype = float32)\n",
      "    x1 = float32(0)\n",
      "    x2 = float32(0)\n",
      "    y1 = float32(0)\n",
      "    y2 = float32(0)\n",
      "    for i in range(len(inp)):\n",
      "        x = float32(inp[i])\n",
      "        y = b0 * x + b1 * x1 + b2 * x2 - a1 * y1 - a2 * y2\n",
      "        out[i] = y\n",
      "        x2, x1 = x1, x\n",
      "        y2, y1 = y1, y\n",
      "    return out"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 17
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "We'll design the same filter in both biquad and SVF forms, then check that the impulse response is the same."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "coefs = rbj_lpf(.1, .75)\n",
      "plot(biquad(coefs, impulse))\n",
      "filter = mk4mat(svf_lp(.1, .75))\n",
      "plot(eval4(filter, impulse))\n",
      "grid(True)\n",
      "show()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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Gwyk70FVVDwAITDrzi4mjugkGyQ8hSQkwGkzorjoBP8mIiEnJMBlMOF1ZA4Nk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\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10949fa10>"
       ]
      }
     ],
     "prompt_number": 18
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "And we can see that the error is much less with the matrix state variable approach."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "plot(biquad(coefs, impulse) - biquad_f32(coefs, impulse))\n",
      "plot(eval4(filter, impulse) - eval4_f32(filter, impulse))\n",
      "grid(True)\n",
      "show()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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0asJUlh9ezpWyK7U+P3gQ4vuW8j/rn+WWrrcwMHSgye9bUt80jgOY6+xZ7S/z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\n3bt3m9y3fft2NWLEiOrtuXP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       "text": [
        "<matplotlib.figure.Figure at 0x1094a7450>"
       ]
      }
     ],
     "prompt_number": 19
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "The difference is even more dramatic at lower frequencies, where the error of direct form biquad evaluation\n",
      "is large."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "impulse = concatenate([[1], zeros(499)])\n",
      "coefs = rbj_lpf(0.01, .75)\n",
      "filter = mk4mat(svf_lp(0.01, .75))\n",
      "plot(biquad(coefs, impulse) - biquad_f32(coefs, impulse))\n",
      "plot((eval4(filter, impulse) - eval4_f32(filter, impulse)))\n",
      "grid(True)\n",
      "show()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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7MWdjGJC/gJCQkUy4+1sqfqigtW9rXa9fe9wzuCehJ0O5JfIWUlNT0TSNTzd8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\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10949fc50>"
       ]
      }
     ],
     "prompt_number": 20
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "By visualizing the state of the filter, it's possible to see intuitively where the difference in numerical robustness\n",
      "comes from. In the SVF, where the state corresponds to physical quantities, the norm of the state vector is close to\n",
      "the system's energy."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "def eval_showstate(filt, inp):\n",
      "    A, B, C = filt\n",
      "    result = []\n",
      "    y = zeros(2)\n",
      "    for x in inp:\n",
      "        result.append(y)\n",
      "        y = B * x + dot(A, y)\n",
      "    return result\n",
      "\n",
      "impulse = concatenate([[1], zeros(49)])\n",
      "filt = svf_lp(0.02, 0.5)\n",
      "xs, ys = zip(*eval_showstate(filt, impulse))\n",
      "axes().set_aspect(1)\n",
      "grid(True)\n",
      "plot(xs, ys, '-o')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 21,
       "text": [
        "[<matplotlib.lines.Line2D at 0x1094aa250>]"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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EoduMHQs7d2plTa+6Cv76V7jsMl+r8i2mjEG0ZNky+OYb+N//7UFRgiD0WpSC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\nIARBEAS3iIEQBEEQ3PL/AbaOwzezy2BeAAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x1094aa090>"
       ]
      }
     ],
     "prompt_number": 21
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "By contrast, with biquad, the state vector is a fairly extreme transform. Thus, even a relatively small error in the\n",
      "state variables can lead to a significant delta in energy, resulting in much larger output errors. The transform\n",
      "becomes more extreme as the frequency decreases. Note that this is the biquad in matrix form, which is most similar\n",
      "to transposed direct form II. However, error behavior is broadly similar, at least in floating point, for all the\n",
      "biquad evaluation schemes."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "filt = from_biquad(rbj_lpf(0.02, 0.5))\n",
      "xs, ys = zip(*eval_showstate(filt, impulse))\n",
      "axes().set_aspect(1)\n",
      "grid(True)\n",
      "plot(xs, ys, '-o')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 22,
       "text": [
        "[<matplotlib.lines.Line2D at 0x10974ccd0>]"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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SjKkv6h07VmDmzID2cnm25X9K8XxdFYgZONCyQAzH0LqHHRrTp2hqcr3eUFcF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\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10974cd10>"
       ]
      }
     ],
     "prompt_number": 22
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Modulation"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "The main reason to prefer one state space over another for the same transfer function is performance under modulation,\n",
      "that is when the filter parameters don't stay constant. Biquad filters are notoriously bad at this. State variable filters\n",
      "perform well under modulation and are highly regarded for these use cases.\n",
      "\n",
      "Let's test it and see how it does."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "def saw(freq, n): return 1-2 * (linspace(0, freq * n, num=n, endpoint=False) % 1)\n",
      "def sweep(n, maxf = 0.5):\n",
      "    out = zeros(n)\n",
      "    ph = 0\n",
      "    for i in range(n):\n",
      "        out[i] = sin(ph)\n",
      "        f = exp(5 * (float(i) / n - 1)) * pi * 2 * maxf\n",
      "        ph += f\n",
      "    return out"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 23
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "def eval_mod(freq, res, inp, filtf):\n",
      "    A, B, C = filt\n",
      "    result = []\n",
      "    y = zeros(2)\n",
      "    for i in range(len(inp)):\n",
      "        x = inp[i]\n",
      "        A, B, C = filtf(freq[i], res)\n",
      "        result.append(dot(C, concatenate([[x], y])))\n",
      "        y = B * x + dot(A, y)\n",
      "    return result\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 24
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "The spectrogram looks good."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "n = 10000\n",
      "res = 0.9\n",
      "specgram(eval_mod(0.25 + 0.2 * sweep(n, 0.1), res, saw(0.05, n), svf_lp))\n",
      "show()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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axLRjRISyZURM81UuksQ0c2JBzEQhypzmGwXCBczgqXqHGTzaekINMddQp2Et\nZNLllfBJNnIBNQX0EDBTOEmLuS1Bwlj0cxeRY0QMIMoCwTKf8nYPavTUk4UJ1BSSHKMNk65wSuNl\nSXqTWBSTMtTeUlsLImXrq5BqWeYyacPRN+AEzmm8yTpoDsKiSIbTRsQE0pI8hRpEA7JOGdVV79AH\njzxE6EHZJK1kO8aoB45qSIZIjUj8nAlWyGNLTy0mlHDzVpAxL9OJXmTgFslLIRtwHxOpHGIC94I7\nkTnBJBhJMBKvJaEWxBZCm1ajx4b0rHxA+Yj2ARESURAuzlni6WK+buRN5RsF+wtukYRZq1V5AVLK\nSXEIjo+CXaVKFWmagWptUSKkqy6Tr4D+qOBQw71OI0OJlImzVXClEC8t5tzSdj2bajev+HvFa17l\n9rQvSFoW8V5csa/WvOuuqNURtIWtTEFaI0EIlAzUeqIxR5rmyGV9w8v4hg/5nE/ip3zX/SOjTCA/\nippJVBzMmtfrD+kujyjnkSpiLh3NemRljmzijjO743zccT7tuBz3NJXH1J6q8pja8qDPEtibPWbV\nE2zE+DHJC3tH8+CJ7YhsQLeeuh0eGZ2JChUC2+HAeuxZjSONtazqkVXds26ObOSOlTtS9wNmZxEP\nESk9tRtZiz0X1R0mTpy7B1b9kbq3qB5ME6haS9NNTLpHRU/n04KVVTjShAEZUmaF9Gmxi9IDWgdq\nM9GIHhlTlkaSVCzaelQf58qQwEBkoEencSCKW+0gaIHTiklorNH4KkkW1eQwB486OOpqwtSWTX0g\nNDIB9hiSmz6EdLyliy3BNQrbKmyrsa1CxohxLhkJ55AhB/xkuraQllIk/I2J1UkXMNlTiFHABGKI\niD4BMRZkCzEnICgHTWURdY8Wjkb1SBFptKU2E6rOlNORPd1URZWChLEiERRHOn5PAi27mEsBRIxU\no8XsHZ0ZCEYyrCr6VU2/bujXNVYm2CgztCewkj2YARVSzELE+EjGMt6xmY6s+p7g0vrbtOYlIKuI\nrJiZssit1gHVTNSjJbYpXUbsI3IfEfsE9tKB8BEVsjGoQpojxlGJCaXcHHPa8sA67qmjpQ5JgiPL\nXDJEKi+I3qbMwFbgO8HYSTASNUT0GFAPEX23SBLZpNbXirE2DHXFWCeiU9Kwo0wydWUycYkpbqOm\ngBoiyoIaYhprAC++buRN5RsF+yveY7BfWX5+2h8iuZxl9WlJslPSs23uWckHuuaBtjvLgcaivyno\nJTwAjQQ9rSUhAAAgAElEQVStE4vqBJxLeCGQryLVxUS77tlUD1xyywv3jlfuLR/a13zkvkQLizWa\nSRusNrSy59Zc8Fa84Ly6YVPd49cRXwe8DvgYUDnbYS1GNmLgihsupjvOxx3b4cDGHmnNhDNDct2N\n5k28ZdvsaS8GlA5IGTDnlmadvI5N3NMNR9r9QL23mJ2nXk/4tYR1RBnLnbzlvLrlXN1yUd9wnDpW\n+z3t0FPtLeoQqbYWNhEVEziMumbIRmcUNTJEuulIcxgxe4caAtXa0q4HVvLAtnpg5fc0w4DeWeRt\nQMlAJSa6qmfTPqCjZWX3NP2A2TnEDtQ6YEjbTnR12hOlcwPtNNFYS+38I5dWBJB1RDZJOkXl+KWL\nGBeonMOMHnFkrgzMmR6isNbi6dnUCpXkHGM9YoJQCXSf5AbZ58wRGbOXllJ6o48wxsTkikRYjIki\nufguoo8BBoe4T6y+BCuFz1tcyWSIkHlJhntSy2K/0sZ83QV8IQGfA47pOKbziG5Cd462m5KW7jxa\nhJSlVhaNe+bEBb+WOKPwSuJbibAR5UL6jvdIm2nkvO1IXsFZ9pQKnmgg1ILgBSFGdFCzVCZdTHno\nJfZSCYZKZ2OZvAg5hnxej8rPKAoIa0nQAqsVodVpS4MhG9p9DjYP2RCU9YuFUSsIreS2Pee2SfWu\nOQeVrsV4y0fhNXUYad1A63oa19O4MbHrENAhJI/NgrB5KxULwghEEEgEUgiiBDXl+81S10w083gT\nMqKUp9IphmO8J46AFzneAko5tHRo5dEqIqeIXBg3ikT0z4HZX/OOlp4P+DLXL3jJm6987sjq0bZK\nKLhT55w1N2w4Y+XWWFHjqLGxxgZJ3Au4VTktkjQ4VsA58ALEBxGzsXTrI2fVA1fiPdfTDS+P73l1\nfM8Hh3dUesJ2CtulvWHqeuCduea1ecUL3nLZvGdYTYzNyKgmQhzRwdFGzxbPBT5JGocHNvdHuntL\nfQjU3QTtlLT+Di7DA1tzoDmbkGuPzKuKmyaB/Trs6Iae6mFCvXfwHvSFo/EDUjvMauRS33Al33Ot\nU9rcUa442z/Q9j361sEt6Mkl3VlCqEireWXDoFIlQDuOVAeLug+IPWk1rRxZVYfEhNyBdshAfps2\n+zJmSh6S15hoWdkDTT+id+m8MqR1Bk0jiDGBQTON1L3DDAGdpP+ZTSYXWuKFwirDVNXo4KhcgNGh\nJoHuSaB3yO0C7Mm5zDPQZ5CWMlL1Lm2EWufPFTDMk9ULiTMS2yjsSiFcxDiPmUIKZ8dCyU/n071H\nHz11uaaypxHMn5ULKQXBKYBXatm/r1lcW/l+MSxjPn4GA7UNqG2gPsv3Wr4Dp8V/Q76//F3baAZp\nGNqK4cygx0DjJ5rB0hCR0Z8SDZbXvKhCxpQaLGzaYMFF6t5SHx310WImn+bMSmE7xb6rMfce3QfM\n0WNuImJ6jGCxEriomHTykKYzlYz60aeFS32OIRwX11aetQFa8EbyefcB//fqV/j33a/w77sf8GH4\nkn9l/55/Nf0Hvmd/wtV4cxozpS/Nk7ocNzYZ82Twcl+qRb9KTiv2M6mgB115dOtpmyklcUhOySMl\naFs/qSWwW879zwnsP+BLWjfw6viWF/17ro93XB8f0j8XLt+xsdQrR9NZmtUAlZjDexMVQUgOzZb9\n2YZD2OJMNVvPMpFFF5Df8al+29N+a8e6uuOsTkz4mnecD3esbg/UNxPyfUTKiNl45CZgNp5NN3Be\n7bmqbnlh3vFKvWZ/3bD7lRbCGdN5g36xp/3VW7bfuuWqu+fav+PseE9716PfWrhjBvlSTTPRNXvO\n6ve82HzByrRc69dcqrecqxu2/oFuPFDvRvSNh9eJjdVYtPLUxnLe7rlS91yrG16pNxzCivPpjtXx\ngHmw8J7TniC5a2kD1BZRgaqSnlpbizla5IOHh5g2gqtHVusDZ/GBtd/Tjn36zC4gZERvPGaaqMOA\niIHaTujBIQ8B7kkMp50Qk0d5iyRipqRFy0M4BbQWu1oo4anURKxylngI1M5iJpdS2XoeT9qeE8iX\nWjaUK+zPZD0/u9uxAXHInkGfWpU3o1O7QHXnwUfUMaXPyT6eMisK+BV2aRftcnIugf9pKZ9begql\nPjUOhekXtl4yPQYSkSlAxeJ8xSOo0v1SgzEOMUaqd47uPm1gpoJHq4C8WCx+eiJVlRolKAK1t+g7\nT3M7pX0FbUC7gLJJe1Z9QNyDVoFau8RapxQbESY+8oxQIHRENylt1Aye5lYgd+k4cspAX+ZzuTbN\nrJEjUj76R/5L2sPAd8af8F89/F+sxJGLnGG2EsfUZzvgBrglGf7lfFydron2ye/FSIvct4aUCdjx\n2HAPKY7jG4mrJH4lwQiUDiiRU3J99rwmTsZ4QXgWi6J/aeUbBfuP+JzGj1zvbrh+f8vFux3b98fT\nTee2OveYa0f9IgUslU7pbw5DEBIh4La54vZsQhpw65QSlxZnCWIt0+Km741U3x4wHw9sX9xxKd9x\nJd5yLdPOfBfDPeu7PdWXI+Kz5Daqs4g6A7bQbUe26z1X6zterd9wq8+5ubpGfL/GbTv6b7+gWles\nPthz/nLiZXfDi/CWs/6e1f0R/cal/fdXuebBZc4nVhc7Ltr3vFp9Tl83OU/9LRfccObuWU0H6sOA\nvnWINzmtUIExHmrYhiPn1QPX1Q0vxRsOccXFdMvqeKC6nxLYk+dv+cEG6FI6oZGW6EhM++iRDwFx\nK9CNo14PrOyRbQb7Zhowx6TZCxWRR4+ZHLWfEDFi3IQeHfIYYBeRdaBaWdToMHZKxHHMAJq11kfP\nnGQgjAZRefRokS4HHY8hHXcJ9P8Usy8ZWrnGkDVvTkFc4KRb75lBiQE4+pMEsmRkT8sSGJcZFE/G\n8aPUy6VRKizccHpX3PKzLO5l0UdlmwsfJSGk7B0ZcrZIyPnu5Zqy9KFsQA0hAZ7Nfy9At87XsLje\niEhZQkrjdMoUUn1A71Oco95PyBIILiWSsmhKQDbw2JDl+y1xg1iJtCliXgRmBp/7n5OcIXkMhEuW\nnZ+5NIGr8YYrbh4/m2JUZD7mLfk9GCSp9yxXm7/Tctpjq8nfWyaAhMVzLucvwVmbrjlogaN4KopY\nCQyOKpID+CyW/Smc1ykdVDiU8mi92C5B/HKyML9RsP8uP8Y4x2Z3YP36SP3pCJ9xeph50JkXlvUQ\nqMXIttnRqgGhQMmQ5AEx8K65ZWuuWa13tG7PsesYL1rGj1qG77cYY9l88MDZB7dsz+641m/5z8T/\nw3f4MZ+IT/mYz1mNR1YPA+3rHvmTbHnPT1VdeFaXBy55z0fViqkztGc9qnKEl4LhexVrc8tF854X\n7Ws+rD/nw+MXXPXvWd/vqd5N8AVpUq1yu4YqTmz0jhftW74VPmWk5or3XObXJ1yGW7bTjvbYo++T\njDMv3soZHco72u7INt5zrd7RxQPn9o5Vf8DsbBrgS0ASyf3WziNDQJNyjOUhIh8i8g7iHeiNp+4n\nOndkTUXnD9TjODN7FMg+IiefdvGLAuUD0oYUYDyAbCPimI5tDuTAWqoswX5RlIyImHK945BTAoek\n2Yohf2fJ6odFf5T3FZT3AhQ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VJRTBjGjVSwBNgELotkadV19HxuWakVvWvLAGAQFkTZ8I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PHYlWslSagFygbSNuJPi0l6iNk7d8fWWutQwjxHwWkIlPlrlvIzWWmaQ2Dt86STUPYIqaUgSV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\nDx9VAF/Z+/Dhw0cV4H8BmkYcrFf1xUIAAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x1094d7410>"
       ]
      }
     ],
     "prompt_number": 25
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "By contrast, the spectrum of the modulated biquad is a lot dirtier and has high energy artifacts at high modulation\n",
      "rates. The problem gets worse at higher resonance settings."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "def rbj_lpf_mat(f, res):\n",
      "    return from_biquad(rbj_lpf(f, res))\n",
      "specgram(eval_mod(0.25 + 0.2 * sweep(n, 0.1), res, saw(0.05, n), rbj_lpf_mat))\n",
      "show()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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TuQ7TOtTRw574vm1H6RpmIcbjTa2587RnPZl3ZH3U6PPOxUVRR1BHUAfGiJC0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\nXVeYs+Plg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udFILuJZBvIVpAtI0EK3j0aJXjp2d2TkyL17PBg99XxTbGox8gV38HxYYV9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\n",
       "text": [
        "<matplotlib.figure.Figure at 0x1094cb390>"
       ]
      }
     ],
     "prompt_number": 26
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "It's visually even easier to see when the modulation has sharp steps in it."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "res = 0.1\n",
      "specgram(eval_mod(0.15 + 0.1 * sign(sweep(n, 0.1)), res, saw(0.05, n), svf_lp))\n",
      "show()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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7XvOEW64nykod4MswRO2qhaqzU5vC7Pm87fEX2rO+gT1r3uTrXvOGa24nq1je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T6CeJEgUoGvjt5imqjr7xUJvpw/0QJk/4iQorUL0XIPjMFU4pUjgpPWsLShXuAj/Ywto6FX5kqO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\nX19SZN1B8WkkfBopPoN4HTl6dMs7dy/oG1jEOzqHdifxlvd4w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lcBYJl/+4wUudUyTklw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\n+F9hvwaEcLyCpIr4ISTisPSQeMZcgjZp1OPb9g52eAl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       "text": [
        "<matplotlib.figure.Figure at 0x109489510>"
       ]
      }
     ],
     "prompt_number": 27
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "specgram(eval_mod(0.15 + 0.1 * sign(sweep(n, 0.1)), res, saw(0.05, n), rbj_lpf_mat))\n",
      "show()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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URl7eCg87vKwi48x52q89o6CwSt10Guq3tfrYVKuecdhmGC2Fx6WPrKA55nqpyd9SlTml\no3RctRz67HT+23boc62lYoWUBXO1Jqb0kApcW6dxJbYfnkN5sWC/YOyYKUdozTcbnqkD1XCiuU/8\n5ET9ipib3Kzd73/TAbVijIedOoevlefkPXmf4pCCjdmqsdr9h7lnTc+CLQOeQM+KDYu0o049PiVi\n8HTzitgE0lEFkRx6uY3U60iImdv3sThNyf9v+oFql5jJgBsE36d8rks3f5oJz51qR5o70swR55nG\nCTvZR8L4VsaJBtcpwQIk0hRgPM70kmvZhwe6nkMqQ7XSxEg9qKZbqvSO9ekRj9MpT6q7PF6esmDH\nPTnjfjzjfv+Uqtvm9nQcgpFnr1jIEuRorPispe+rUjeGLnCeDKbr0m0DuEvgstBH+ryp30nB7ap0\nz9yRFo50J5/re/J6ih78YPrVRgFZB6TeTyke4VA7nplz9PqbvrOlLVTxssLJtn/DNSczLaMgUAVx\najFIfm+2jGt61GF2L4+L/fdtc1/ur7MK6HspGqrlp/eoto+0qsKhgtEK3OdQXjzYqwanQG+dJ9bk\ntpJ1bn4/8K7aGM7K3EDtupsjdA5oHOUaFexXvA/YTz1vz6aLPuriTEe5YuF8GLD3CBUDDR0LPJ6B\nuexo6Kgk4kSI3tOHis41dG6G64X5Vcd8k6ivEs2uz0BlAM3FDKTO5VUOLoEbHE7cdSolv459SXAg\nAVLjGJaOYemzAAhC5VN2uqbJ9Tc4RiVk2kPmIMqvFwvAqSVgP6c1y22ExCRqpE0z1u6Ex9UDvjl7\nhaP2Ct85FkPHnXR53fHnOQSkEnIsK0iqpVe537xah8VJ6C4YaRCfaTSnwGfBTwGsye87dQrqwjAh\nA32MjugchBzOiICPchg+qUdLgRlgE/ueBajdlIYxlI54h5R7iSuRUQMwlKMFQ/VZaDvUEapRTOrk\nNH2zVxyts70z12iUjkYsHZefz8iWwkU5Xk3eX+kZzLtZy001dXuOji/tz8ihpefN/bV96vy3UWEf\nYXmxYH9E/ghKs6tEtUXBXrWIwA30ypRYPWb86joCrZf3GUCsguSY3MEK9kofPfMiNQeUJHxfc+C9\nizDGjlvz1pjMrpyozlu/B/oPrt0nHAMVLQ1bFmyZ5UnohOAHajxVHwl9y6LvkX6LS4JzCd8kmCcG\nGbVRX47rsOI8HHM+O+F8dUw9DNyRS+4MF5y0lyzT9rrmYymIoThyd4ngHLXkUB63A99KXkFrqUAL\nQs14T1cmptMwNzc+x6lWOh1rcDiMMOdV4JJwtz1j8WTHxzYP+dfvzqniwGK3Y7HbMfe7PBys+0iB\nyNCDLoEfCufui1DyuabSJteSndvejODpPV155yV59esK0sqRlpCW4J+Afwy+l/J9hLAF/65QFQHk\nglbJ91UBojHrqqCpEJ1BOgZZ5OdIDf4q97O/EPw3OTS6jyDNPMO+BiQ4Qh+p+kRVjgfOdI2kWZn3\n7cmAfMGhZaBCecOhv0CBWB3aqkXX5mifacM/p5Ey9p5Wx9Nqqecp5WRDY9VPMHXc2zUdz4k8eLFg\nf8KotVipOS1WcfbACtyKvEw76MAPOGrcfnmf2t9alzwrpGc/ccoCk2vOsjnPAHu199UUeIn8ZZTc\nHdHCRtSgDsapOTstEwfWIc15uDrWl/ph7YlsIwQGQl5BS1k9a9RmT3FAp5TDGctyYucLtWTNewGp\nyCGTPgd05mgiRxJ33Yp7xvtn60DAC0E1t0ks9gHgW6pBm54Kj63hgSpEtSpY2miTm9o2cT4u+h2L\nYcfdtfm/Pntpnj+1WGAPJNF5YhUYZoHoA+LBE/GppJ6I6VDY2GGsc0j7XeP8VQ9R0GnMdaXrXU92\nfG/MfS0vrgumbD/DqN3qc3D5O88LVbYrfb0ha8raD+W+0pRx4dw+ngFx4/3UR2P5dEy/Yn5XHQ9z\nTccYGqmC1ca2W0BVi/6IPI3VQlK4UA7ffndrARqlYQ/W9ptbq9M62NWfoZaJHbONueYD6ozvV14s\n2J8yhiXZ+OFpmZjWbiG4I8HNc36OHBfucQdxk4o2+vXVHFAC84aiC1Q0PEuNhGeCPeWfJ2Sgf700\n8m3TBp0TCsgphyZqroRvwW/8rHII9B+es9d7ehIVkYqBICXWPmUuPgXPUFUMy4rBVbgemk1Psx2o\nLwbqLu4nlytW0pHbsHAtD/onxFgWVe1ithJS1Adf57NthRHU9BVtNIvl6KdOQ3s8fNnri190DFrF\n4yaaSSfs1BE8MC6vV6er1Ri1rRMHbXfacFUvuAoLrlYLqMk5lLYblrstza7dt8kpDaTvaSNCDD3k\nyhQIbdbeJZJXxm6zJXHA5U8or/17WX7aCmYDaA7wkvMusckg7spKUafhrZbK2IHfJJqdUO8isnN7\nvt8FGXP12ACHm3jz/cMZw14ttaOgrg59bYPFGY3aeRnkFeAV4Bic0kZt/v0gr42uCbLUztWkthw6\nbqeCXtthFV2lrBR7FI3/JTho/f0ua37R5SCW6CDdMCtzApkxHrsZcKuIX6QM9pITM7na4WYelp59\nSIKGQDYVVAGCL/b8WPbfoZGcC2NVRtM8wbEgC5DKH+jSpWHkr3NE9u58jPwFNbNTmDxF9mPOMdIK\n7wf0KiwADrX5MR2a/vxhAF/vGQrQ13gqF3FlBVRyroRVJuoYCSk78eo+UqVE8JIBBsYJ1Wbn6tB4\n+jow1BXOCXUJpfRVGrXxsZuuafniyekOZiCzrAG6NgODb8d8PwfalaVfVLtSING1Ezd9A6WPFCT0\nXAUt1eJUe9R2F+tACsjLCUhxeiq1hR69eZaDECNN3yMbh79MuACztmO266l2KTtobWTNTdaCCiAT\nfbxfuZvKz9ovxjI5iAhRjVr70Cphliaz/ZUY26fRQJ5xceIDDkF6W/pgK8U5LvlauzjKRj1NKL0D\n4T5VCsz77vvXjgtr+ek1xVnrdiCPyX6R83KfmemPq/LcaeyHPWq/TgWV9p+lZ+3iMT1PLTQdb/be\nH3F5oWAfXtplsBdPSg6SR24Ae+eUwyjhlqHD1T2uHvB1xPUJX5XseyvJkrh2pbPLcR6g8VBWXx7c\nX3+owTUJmgR1hFlCZpKzCQa3h1WF3FwU7O+S1YIdo/gP15/xAUsem1mLDwXUc/R6QhdCaRjq9fKt\njxa9V86O4whuyPSMd0QJVEOi2UbCdiBsBJ9kdDSpqT6JGumOa9Z3llzNF6yPFlQpsQobjmTLKm5y\nygSrOduIhdJ0CY5h7oirnNtGPFQbIWyzdRSQcZKr5jl1LFaMIXdLMrBYALUhinYRjqVE1Mmny/zX\nHEZUNMAxpDuQThkjXNpc95E1lmJy0PiepuvHLIzOtMHSVBY0LWipULLt0JhwPX/KKyvYa3/o99uY\nqiGfWp9ldWk79ZxTENWIT8lRLRfgNMujOiAVtJVKOTb1yrRDwdJ+V2vN6XtOqVHLzSsVZP0ljrwq\n9iFlhS6H6wzUKrswbVG3nF0RaxeqKSVondg3WHMH4w7GdQJKI1mF4DmUFwr2H1u9DYCIG+sNsJj/\nUlZkAqfuKffCE478msZ3eXXlTHDHgntAZlN0ybIOhNfJGsYxNy8BT9CEjtVszd3lY15ZfpN5s+U0\nPGUZNoQwjI2xnPCSnCTpdbLn/g7wsnnOBy1WA7ATXLQZI/BnTbykN9hr+zdo+VMzeAKoCU/LjA0r\nzjliw4KjtOY4rWlSTxWzFZVmjlh75MjhBgh9InQ506AboK8Cw6qkna2q7HyrBo7DmuPtFaFP1JuB\nejdQtzFPFB15ljM/6APBR5Ao0GeB7TWvTSfXU21MtTe7oMeCYlueZUPezD2kaOr7kMgK3BLcEbjj\nTFcMy0Bc5vUGwzLgveAlElIiPIk5zUQq1EkBraEpeX5e9sSQ0yKHdcr1nZRDHm27rQNS+2ayUCnN\nSnjqsgjEACHmDJzhSvBrGcFYAV77fGAMM7SAZGPH7cIkzW2j7bLCCOCqWK4aNbPlkOJwjMEP6kvQ\ne2xyW9p5Q7tsaO81tLOGsIvMLrtcLzqqq3iYPK1jXPmuQLwr77VmBH7tP23rNC+PDQG3/98xgr26\nBG0QgFp9qp0fceig1etVEZpaonY+mrn+oTXFZ5QXCvZvzN8EOKBGbgb7QwrjmEte4l1OOWPJhtoN\nVMsBfzfiXs15p68lm3mFzLLcYVx1lx+4DxlrXMtJfc6D+Tt8/OhNmrrlHo854pKGLkeeICOI6Ad9\nCfgE4+IYfU598JjpS41H8/NBOKX96DK9fKRcanrCHuyztu9cSY98+Kq5TON9VXsmr6DtqNkxZ8uC\nRjqGVCHR51A8B1K57FD0PlMDVw7XRnznoBPS0tNXFe0yLzJq0kCTemZxoOl7Qpf25rabaqw3vCsU\nJi8KoS/g7hgjfuwqVAWzaaercLb88VSL7yf3KNqd1CANpCIg9nl9igYXTxzdSbWvoU005wPufKA+\nTzkbo2rfnhwCunTEmadfBvploHqSkEtwl0J4SB5LGjKpgWRWg51SKgr4wRGDY3A5WZyknBXSt8BW\nDjVWBVibl8Zqywpkqm0qqDYc9pFSP4bukRaossCRkCkS17JPcbEXGEdkQ7gmA6EKhA0MTaCdNVzd\nnbM5XVB1A+mpw82Fuh6gKhZhYsy0qZaK5rC/YgyM03e1TtapUhXN/1QxYHL+FKRvqtrHGtIZGFNr\n2EVyNz1/yvP/S+Dsv4e/BEawf69YEqulrrjiZd7hZd7hJd5l6Tesjq+Yv9ZSpSFL9GlUzymjdm9z\n5hvgW6YN99NjPsGbtDQEBl7hIfd4woItFXFPnexB+YSc9jSUZ2h4mGotN5WpGR3AeSn5X9jnuL9Z\n9OktUuHVexq6EeRNP4lziHck8SVPTY6WEY1Ln4CsrpRdsiXiqGlZ+i2Na3E+MVQ+b4DSJkKXMtAO\nhXtPha/3Qh0HwkVkfu5zxM1cYJ4d6sMconcjC+Ay73/gBJ2CWZW1RD+QnXvq01UOXM1cnRQqQBM3\nCzYNgZtqynqParyHc1mg8BS8bjDRZwHjrBNXnfsqRFqyNnlWnmfyzbgKQpvwj4Va8uY0biu4on27\nTkagVSevOgVtSKC+axlLrpPsO9lCXSXEge/J8etVoTcVkJUamTqOHaOQ0Wicp+RMkpqdUc/TqBE4\nEJziIM58TkX8wBEfeMKZEJ4kghQLsGN0YKpzUumyU+AezH1HRWR1tmG4CHmhXhepukioUp5j1opr\nyrWakvgeGQuUtplx82pXjbih9KUKoONy7EwfLMt39YyhqE/Nt9CxkBgtioeMxSoz1vdh22itHRgt\ng4+4vFCw/6H0H4ER0t4P7PXY0HHk1jmjulvjfeL0zlPu8Yj7q3d46WNv06Xm4Pp783c5Pj1nfmeL\nX8QpwQHAsVzyurxFlTrupseQhNX+OVc58lw6KhnwKTsW61XH6rU1d06f8uCNd7g7POZILpinLUEi\nHqFOA/PB4zpodgOzoaMZesIQTQy9gFhtvETs+Gx6VzIwjzukI+865SPBDwQ/ULlhn+J1/1ZFE/ZD\nNuVDFEJXJv9NJmMC7xJN7Fgm8KlnkWpq6ajpqVyf88iTN+UIUQi6CGaikedMmUCKIJASJHF7Fwru\nBitjykNPKSdXaJBkwN2auX5ynN5DTfjpwhYb0nvTUbJA21shA9cA0l8JVZOjkJwX/DZljf4i5RWt\nqg0rqFWZgqLPlsrBCszAqAnavEz6TA3Ta6F3Nd28op/XdMc13gl139Nse+q+p47xkL6y0Spi+gAO\nfRNK8eiCwiJk93HrlgtX/4PVSFWLHopQbIFerseOa7KznusLqAI5rXYfx+83jX23UTdqaVins02v\nsiALArUe9LidXJe4HkOvMfNH5v+Wb1eBb+HLChSdI1NqUR3SSvUo9aTKoloVH4YOfo/yQsH+vx3+\njw92oStaa9Fcd2HOy3fe5vzohKtXF8QIvTQH57/k3uG18HXu+Kc0oSUlhziPeAc+c8Cn7owla15P\nb9LFiug9yXmSzzqzR5hLzyx2VHHARWG5uuL+nXf4ePUPPK1WfGzzDh+7eIuTyzPqiw6fIvOYmLUd\nsnZIdLgoGYjLkeRGTUkHrZr7FQSXWMiOeddyKpc5sViJcIm1Z6hLXxih6VIOuat2iXqbqHejNeLs\nhDNRFz5/ccsqAAAgAElEQVQlZkNL6HsWw4Y4OGNzZaHjXNESdSJNJ2DKlIfMTPX5od5nwFYA2G+J\nqNEpdiLIpNrVhroxhEbLTMbGvui1U9NY+9o+771CPrU9eg/73ARVn4F91g/IBdnRtxbcGpzulqTO\n3mDua99v6uR1jNdpvvf2sG6aOWfNHc7unXD26glVHDh9cpHr+oJquzkM42vMc22xvgE9T6uNQVea\nS7nqEllz0Oc6lNeJEF3uj7djBv6OTOPoM2EUdOozmfpWbF6aEtq538pPrRP9vnCYLrkv73AX5H55\n5gZ4F9y7pv3aJ/pu6lMYyAIB8+467i39qNdMc9FPFSobACBky0MFyX0OHeU29HISUPJRlRcK9g+u\nzj7Qdck7hirsK0FYhg1H4ZI7nHHKU4bJq9whA/mMlkDKtmZNXmlI5mWreiDUA3NxpC2kVrfoy25P\nBMKQqGLOAUOEOvTMw5bj2SWns6eccM6y2zDbtfhQRmAoXGkte57U9TJu3bYQnJSNGJqcFlh9A+Ih\nCSB5AZOXfDvxNeI8Q+HYszAyjlnJwiSvlCy5Y+xECowmdBlMLgmhE/xWSFUxNgIkw71e4xftRNNJ\n3xdteJP/5qZ5jWKhf5QKsdEp4zq0w8niOdSqFaw1qmJm/n9TmF4052tbVFjZ86yDV+mlqVO+4kBo\nOKSkHygoap+vIYgWTLUfMUebOkGFmW27jeUuWm4jPUfDFa5NzDctXhLLuGXpt1SzIZ9XjecDhxks\nC3cuZVGSLNhrrS4WYVzSNOyFso4Z+y3UGtA6Z9zaryXTHNMgA9uXdr2CAcd06kgnnrjMO1S5DfiY\nd6Xy6pPS++h3UgBXyq0ICqfPUUerClhdkasWjnW+WirRUi8K9tNqwd/m8ldnr02DrIEBSiduTP9p\nxJilyJ5DeaFgX1+9/zk3lRTIoDiLOC8MIfPWTUnMmxN5Hdo+M1oaegIDjpRRsylaZ1kEs4+YSBB2\nQEyZg4jD+BFLRBAOovP4KlGngSZ1LNgxo6V2HcHntgE5idcM4jwvJw+DEJLDbyFcSlkoI/ia7AT1\necQLkmkPI9mVrOmqwC7M2Pk5W5edA8rf1/TsV7mWiSPRlUkhJcS03FCpAVdoii5PKgfQO1IBnzQv\nYG+1MM0tYgFZsjOOdjxqzDknbn8PZ/Ou6CS3NMxN1kdv/mcTlelkt9u5debeWsuaO1FOdkGOGrki\nc6tKK9jqOTTrFVxgnPR2I29dCamO0Jv2I61ueI4Fe13E58w3H4AzcE/Za50LdizaHfcvn44gpH2k\n6US0/yzlYfpG9g5jkLv5Hk5TEJyTaSi7xF8ja+zf5qWfdPPwU8Yc+lflCKPAhMM8WPq3SWhibDz9\nHZ8ju14OmS6LkbpLVJu8iU7uHBmtVcwYuOSQklOhosJY0x2roNEUBvrd7crZqfJg4/ntOIFR+VDQ\n1iym2id6VEH6pPy85NBXoD6/aQqZj6i8ULB/ePfeB7pOHOBlr222NFxwwhPu8w6v8Bav00/AvqPm\nhAte4h0iIS/E6rMW67YCW+jrin5W0zUVfVMh3o27NEnCx0Q15LwdoY+4wdEy44JjHnGfb/AakcAr\n8i6btCSmcMhJa7HpdMrElIUjNZ4U1CuYfQJOhOQ0+iXvA5t84Im7y2N/n8fuHk/cfWo67vGEuzzl\nHk848lfEhaeryaGCAwQf8T4RfML7nHHSd+AbwVdC9IHtcs72ZM72ZEZ31FCHjip01KHPPxNzhIcU\nK8LL9dWryrsWB1qOOKkYSuSJ64V6iNR9pO6GbGlN48OnWjocapWWm1UwVoeZauhwGPNcwNopB63x\nzHa/UlsUhGTyuwpIBT+r0Vm+2CZgtUCn72LNejhwUqa5I4ac/z9WnpQ8lc+rmUNMVF06TPekQNaZ\nd5q2zUZ7qP+j8O7uHOTt8pq6VaHxDxzscKXfQ60jTQmuaxemi6KG68/dv7N+n8D43co7hLOEC9np\n3GwGYp1Dea9er+hfC7jW0Zz1uZ731BfD2K8K6jpOrLY+BWz1M5ScQpwwOnpPuZ6cUR226rRVOmnK\n07dkC0OVpO2k3hRAYN5/j8bTYJOPqLxQsP+r1Wf+SecrJx2IRZPPNYnnrDvlcXefh93H+Eb7Ov3e\nBirXVp6XmkdsmhVDk1dxukH2EQZuDbvVnPP6mPPqmPPlEVQwL9r6nB2z2DHb9sx3HbPC1XbdjHU8\n4cn2Ad88fw3fwtnVW2w2S4a+yly6OKKUrfu8Q6oEM8FJQpwgM5e57ZqcCdCDE5f/V5yZfajofE0X\nGrpQ85RTHnOPd3mJd3mJOTs8iRktx1wSvUcaoCmMu0AlniADlUAlQugcVHkVqgRHcp62aVgvF1we\nH7E5mbNgy0JyWjRPJHhBQjo0Z6e8ueWmA8jMEeeeflbRVtU+csdXQqWL32w63IZDDTTlby/ekXw+\nQqadXF98H8h1cIHr8fvqPFSu2QKaTqopX281Qy2Gv5civKVyB5y3m0m2oPSZN5n9+p62LyuQpmyO\nXnv6JhDFIwWE/ZWMNEFl2qXWz5ZsqSigWN5Y+0KLhq6us46xB0MbVz9dBKSaqwLpgnHRuHL5mrrB\nMSY5tPSRcvLqnFSwV4EbwW8EH4oysYbu2BGPIR4H2pMGiXmu+D5RreN1kLfWjnG4H7ybAr8wOmMX\njBr5CaPlolWFaKEpbxSq+n/9zipcrMV5w7fYf0elNvX351BeKNj/Lp8HVOlRgmLqPcK4CPMq1gXb\nAnG5LuOGxw8f8OgbH+Odb7zGw2+8QRebA22quiOcv/oNtq+uGF6ts8S22miCp3KXv5dP8g/yCf6e\nT1LR8xLv7kM87/GEFTscjoocRtY9mrE+O+Hp2Us8PPs4M5+4mN9lN1sS5wE58jlu3TfsfE1fVcyr\nnnnsmFUdoeoPOUfYZ7ws+cVAHIOr2bolVyzZsKSnYskVrzJwj8c0dByTI4dqeoRilRDLseSPTynn\nn0+Fz4/ZenAOXBBq3zN3LRFHoGcmLfO0YyYtjXR5k/BBcEPKfoepI8pOpvzxqPqI74VZ37Pq80Is\n3wo+5jXJ+/e3wDoc3is2nm5V0a1qulWFeGg2A80213o3XF+gMk0FAIehh1NOXye8aoJT60EjYzSy\npSQ5TYuSD37piIvse/HkhG1eJNNjbXZK77Vjpa6UctKFOYXW8C6PL1LC9wOSyJulxxwNpX17TZuc\nOsyn0UXjhLMT7LDaBUVKcViQ0sRjGjmiWnNijHTRFFX3S1/p/rol3/4+RFnvYR3XCo4WSLdQXQws\n54nZvON47nME2ZngzxLhLOX7T9cRqBC3Y9KONTd5N/0eGn3UmLboNfp/XXQ27cebgF/70wZh2Ogc\ne3/1ISRz3+dQXijY/8nwg+Bksmepif4gg39MgRgrYqqIseKYSz7p/55PhX+AAPfjY64eH3H19ys2\n/2XF5v87ymBvBvrulRXtd80ZfI3c8RnsS1FwvZIVD+UV/pZP8//yX9HQ8in+AcGxYMsxawY3EAl5\nmz4gXgb6bzS0b87Z/uOK3WJJ/2DG8KBGHnhkCVFyAoLOzeh8jfdQuUTth8MPbCahOmO9gCSH+ECU\nil4adoXMa+iY0XKC7Pn6WYm5177zkhdeBcm5bHRTER+lZDxEUw+VBx8cAMZIH0tnqAWim31Po2hg\nP8iTBHoqehdy8jQv1H6g8gN1KMnQrMCzz7GO0RqYJVgUyyJKDulzcvMEsyGaOnFucqjBSPNMwcK+\nl2pjlpYQSLWnWwX6k4r+TsBLou4idRdp2ogr2UFvfC97f409L9qjr3LOpxCy+8VtMu3iNWxP6Sk1\n/a01o9ry9J2mdMq0PVPQUcC1VekOTRWgwlkBNTEClnXqqgDWa6xDWgVoNNcb64lt7g8/iznMVReZ\nKQWnVIy1wtRaUmtH8xhZK1L7Xs/bTf6vuXFsP+l3UgrIAjbmflaZUIBXpcI4j6/lwdeqwu85ofIL\nBfu/7r4r57rxCR9GHtnmZ/ck+qGha+d0uzldO+OUc5h5FrMdd+dPOEqX9Bc1w1sV6a89/CfGztR6\nSTbLXuY6N1tK5t9PeIeX+EfeYMGWI9Y84NGhD8CC247M270FfJVx4UqVf5bkSgi9Wiaa6GCqXh0W\nR9bqfQIpjmPN7ZaboDlx8qpZXWAViDdaR0C2FhL4mLXE6epVcXkFbb9fQZvz2VOig7xPSEFKV559\nDRhuCJvczRoulysul0vWixXVEDniiuN0xfFgcuOUNl5zegn4KtK4REgw03QJSQgug8BeA7N5ZIbD\n9ztwnGq1YZWJ6+Co95nG6BtNcEgVbZixXWRBXKXIvG3hqqVa5/1or3Hm2hbl6ZVS6sk5ZDSCpKzg\nVaBwsbTrzqS/1bmsGrMuHLRgUnHIwes2flN/iXV8O67HplsKz6YX0D2DHKMGrwuLpqGUNjeNtSh0\nn98lYxy87j+ggs0KaH1HjSSaWmXCaB205nyNzNJxs2UEcfWp6bqECQOwDwG1uXCsoFFQn+bCSeZ6\njYJrzLN0K1SlkJSJftbizA9ZXijYr98+zfRBJbgqlWPeDGOfI90l0lVFvKwZLhriZU3Lju5uw3Ba\nE+9WpCqQBofsQNYC5wmGBKFwqJXLHXjB6Kk3RaFxSBW7Yc5Ve8R5dYehrtj4JW2YMfiKhN+D3zX+\n95y8zVlPthqKtuGkeBqEkYzS9MZWI3Al7r+EeIpI9kSnHDPvRXApm/Ca5XLMiWMzz7/3blXalmfL\ng0yV5bXCYZ9z3pOydRBzbvV9fvWbwhxVhhUQq2VgNWypusjSt/ghMes6ZkOXtfqpxms5c/3XAH6X\nKRHZZWvCFfBzMNI02iYLDNquipxvfUXOdTPjcOs/pVZU89eJrkWFj7UYIjkcMA3UZeFYiIl6O+RF\nVU+LX8gCrv5s6S8FX6uBllQJTh2x+nwVEFMBohp/eUaqXHFqeoYqEKtAeBqpnkaqq0i1TsgM4iIQ\njz3x1CPz3P4wpP1x/1zl2FUQq7WjWrG1UtaTarcJtONewa+GVIMcO+Re9oO4x6UmwasmbamvqSVp\n89brUZ+h1wiHmvvU76Ht2ZLxQjiMntJ7aQSXCmjrE7BCSKP9lI/Xd1BloWJM0rc1/9Nc/PAvw0Hb\nvb0avfGNGPMlFQ4jZVC8dPDYwRMPjz14B51DvCctPany2VkzAJ0guwRdyuf5Et2iWetUwt5QYgr0\nfc2um3PlVxBhV83p65pYhXEhlwV8BYUrsufd3fwcm3t+D/iGAhE/+iTyAiZfAJ99SGg+VYFe65gE\n7ZlAL9qG9y927ghZWHlJhBSpSzK0EKUArVwPR1Oz1kzoWexo+o5j50ZwKqsqXZw89CY+WS2bSM65\nYgTCfvtDjXiwawgmNI44SE0G+nQvg77fZHpEj3tHpE5GqwHaFMAq5FwWhE3qcTFR9QN+l6iuEtVZ\nxD1O+V1tci6bR17bfs7IBT8pbdawQHUcalu0qoYIe7CX/RaHea/ergq0VUMbatpQMR96Zpc986En\nXHak5OlPA928ojutkCV7P4jbCkEpCEulWS5ZwW/qfJ4uMJoKBMzfQha8cscRl+SMoScOH/IKY3/p\nEJExRbM6cm/y9ei3sgnIrEBMjPSTDYu1PgON1lIqSkFcqyp4dgtIb54zXRim30/va6kjHWvqW7Ar\nem3013MoLxTs99u1TTtbQ1B0ZWnt4NTB3OVwqJAHhtxxyLwQGt4j3kMIUAfyXm5cB48byv7fSrck\nh2i65fKB3zNf/NQpc5Pm/K0g7T+pjNp93lcqHrQRilVRwNqnlKNX5NlNcQgVkRkdAwFHYu7aHLfv\nU9lVKHP1eBkBAA61XuswjHk9wjDzDE3ODumiZAd3TFRdzGsL7OB3HAJIIkemFEdoXGQh7tucZCy0\nZdGY9v20TWWi6ZZ+0oO/JO+mZDYc3084+2ydxNouZ+5drInQJdwToVon0jeGbCVsJUeT6JZzOpHP\nOfRP6FHj13VFp6U4VNtUkLP8sBYPqcnJ1eLCMywcaZ6txFpy+oSj1hHaorGTcn/0iebRQLWNzB/2\nyIzsHPaZtjv4FmKeLTdUa0U5Rj6eyTkbrm3w4ubFer0EOS/g/gTcU8E9JS/wgsP8Mc9CK+srEEZa\n62Xz7ayypho4jBSbRhzpeoXp/a0loIvnbNXzovnZMWKe0k5WMFhrVtvxHMsLBftwPGRY2lMZYhxF\nhepAMsjPwB1n9SyEAT+PuFmCmUAsGnzt8sYW86LNWxV1EvFiyx6Xy7P3juJpvplnlWc5tm58yD+h\nTIWG+T0/LhMuY4I2I4j0PCkAL5pFU65P0hsfaxIluMnPLsvj3Ah5z3tBphMypeDoG5/T91aCCyWM\n0q6ImWph2qYAae4YjjzDcf7e1RpcShnoVQPVot9BtfyinTqXKZv95JsuvJpy/M/6tsYZ5wuwXwM+\nPcI48ZWicZOq53pGB6Zq8wry0+828T+Iz7H5fRXom0CqHXWXdwSrisOYbaGrIC+uG8Bv4ihkasZM\nm6r92kgVtXamdJv6R/S8afoHG6u/YwRL5dvn2bLar0QuaY73nL/6BvQajeef9rVq4+oUVmGvlA2T\n99E2TdNbq6KgQmX6bSdj4Nr4t+PYRqyphXhsznXmmqnSCM+cVx+2vFCwb+5dsodSsXkezds5inNQ\nARjm/pImbKhDm4E/JlwtuDm4I0bO3A4CXfBhvdyT4pwQQiTUA3XTUzc9IURcEMSpc3WSndMOCp0c\n1vn0QYsdWNaU3HdLJn0ylVMWJpUL3/Ox72GFJAI75qw55il3WLPkhAuOuURj+K8VneBKKagDsSHH\n+dfgq0SoEi5EqsFBDyEJgRxtstes7ASyYFI0IOeKv0IAKV/Cy+iMs/HTNjpDvwfmHEsv2ElpNXcb\nC64VMiWooXmXXAfuacimdQJrf081++nP2reqOdpUAlotvST5PIkgKe/vm5JDWodcOZyuFNbFVgo8\nU97b9r1qnArQer0KBM2OqW3U/u3N/3QjEgveqvmL+RZ6rVr6C0bKw/7P0n36P+vctz4kHQP6HjpG\n7MIm6yfRqJ5pP0+drbrloF1JPHUO23mh3+6m/Ef2u+v9tJ9t3P1zKC8U7FervEOzRqpo1Mq0eCc4\nr3u3JpZuzdxtqF1bMj6WnarmAkeCs2Cv9ZhnbkG7n98+UYWBWdUxb7bM6pbGdwQXs5avbbMT2wK9\nxg3bVZOqVTOpRcvM9znUoHOfMNESZV/HXPYjZ++NGiyUBGaFxnFJqxpLz9LGZR/Zk8M4Q854KXkv\n2v39NDunxnvrhCp5b7R/3UCOJIpCKE5mKRPcD4zpKewEvqkCLpI1eBJOo3G6nPfHKVev91LAuUkD\nvYl+sANhGrqnoG2FtxUC1oS38ew2IsRx3WKZgvz0etVMVYBavloFlMa4lygWNxeCE2gj7iIrKOEq\npxbwGxnTEyvYTrVW7UczdvdAZ4XbdIUzXI8713mxIq9HUAtFV4fCIYdtk4fp+02/ke2vwvOnmcsL\n0GYOqR3uXPAXgj8v1pZj9HHovfVdtOrUsXmWPCP15sy3sOsYblqprUCulmZvftZ+1fFj+x1Gx6z2\ns/XHPIfyQsH+uLkcwW2qMZsyui4z2K9Y53TDtFQlD4yrEm6esmZ/h6xZWLA/4dA5dkMJLlKHnlnV\nsmw2LKotjeuoyFv+HZj2VmvURSbHjHnstSfLB92DJGmkiMqG40qJ7EWBOISUBZ/xGzg5DEm1oZcK\n9nqP/TmSV+p6A/bP4u0DkTk7BKGi45iKRrq8oCrlyBkVHAdUh5rJChBGW3JbcAsQm83PcLvOgo/e\nT8HOaLgZ2EEs1eeLwJyCuYLjTQCrmrDWqaltY9PVIattszl8NOpF0xHbas17OAQwBcibrAEL+Daq\nyD7f0iGBccy9BL4S6nag3rgcLKD0RCv73P8H41cja6aAqu+ggGtDNW1WSV10pMJMq/ahDSvUCBft\nd2ut6Ipa22cwCg87LowAloVjuBcY7nr6e4F45KnejNRvJupNxG0izkbGBA77Wt9XLZwpVWdXuk4p\nFu1DpYYWk6q+FRXa04gatWospaSJ7tbl+C8J7E9dznppgf4mwJ9qxSdccMTVHvBr11PVA36RMq9/\nj+tLmE/BHWXt3wUFy0NnayAyY8fKXXHHnTN3O5ZsaOgONGfTsDE2+IS8WlDzhKh2cGO5iYRz+/84\nYHRSm6qgX9qtK2NVGOkbJXf4YHfT425slWegYseMDUu2zFi4bb5vcCXOPmV1XVKeF70cRORIcjmt\nw6yiX+YUD75O+DoR6piPQ8o5XlLOIOqL0NsDtU4EBWDIeZCa7ISUAjBuAD+UxWFTLati1KhK3yVf\ntg48DgwngTj31LtIZeoBjaLXT62syQKi4SgwLEI+Hgecz9FLIeVcNr7PG4arM/ja5uEDxKUnHpV6\n7PPuTlHwQ96i0LUJfwa+OCz32xbaKqUflPPeTZ6j/WOn2E1WztTRqNkvVWBOo2Aq83cFY00xoPlh\n9B4wCggVYApqU8BVUFUrwa4DcNkqrNqEW2eLJm0d/lEiPJbcT+fletWWtU2qXCgVNTNHVVpsUU3c\nrr14Wt7rrPysQqslR1OpEvgq8Kny3Kl/SPtL00pYmsnSW/8SOPu7ZYuX99PupytqM9ivWbJlTkvj\neqpmICwj/kQy6CovqUB5l7xn6Dzn2/D2aUVbrBiYs+OINaecMaNlxVVJi/wM4kxXE56StydsyNqW\nWZ2nG5LcGMnzrDIB+gO6A8aQSIlUEvPaBITowthXwnjRt/DYhMsrfZmxZcEVi32YqQoVJ8N+da8Q\n85aOmkFx50iDp11VbBdzNqsZ29U8W0wub7JSuYG6G2iGgaYeMpjZ7ROnHLo2vyanul054ir3rb+C\nsIGgYaBWA7RWmL5f7ehXFe2dmvZ+zbAMzNYds3UPXqhSHPvcWgTTOonYGZaBXVOzu9Owe1ATQqIp\nG9Q0Q0fVgt/kGIL9PrR6j6Klp8ox+JBTQtyvSEtUdGfB3iXqtxNVXQTklVwPOrDaooY9arEWw3tV\n7Td7X6UvhOv0VgFimbtSyXSKUoc7cFcyvjMc5uu3vp5pdIq2RRdsWR9FyPMp7DJFyDbmNr9NXu9y\nxphtU1fF6rVquakAsWmFj5jQp+x9FKIhmwI8BPc2I0BrLiJNCXGHDPT3ynHOoYBQh7Ol/HpGK0PH\nyXMsLxTsX+JdwNAXvJdmP4KlgvERa+bsqF2XwX4VcXdTDrFSLUI/3D1y2KbdASbffF9r37N0W044\n5z6Pqek55pI5233a4D0Fo5rMnKzV32OMMjhmr0XkcMe8AXVeppTpIu/S9VQD2hbryEtALFy9hlIi\n++yHdYzUKYN99FmQRZ/3H80LofKWgT5xkML54BmlepcBfUbLkoBnYC67fTK4SgZCjIQh5dw4Xdbk\n47yERLqyTqCLLPot80ct8o1LfC24Oo3HkpcndCnv2JQOv8MB0CjFVbm8923lGarM2Vchfwvv0niu\nNdWtg14ghMSMnmoTWcSOVJVQxDbhd2m0BqfRQFaD1WK5VjOCPWXbxrVQXQr1BVS6wM5SOTYpWA9h\nl3BXA1UTmbuOblWza2Zs6hXbZsYQKlZhy6respptqRY7XCOHjmdtoyYk0w0wrOPQOhXtepApt6xg\n7s29YaRpjJ8mLgPdnSxEuzs1cR5onvb7jJSzs/6QHlPgbs09LeVl+9dSJZpvR1eaaj4h7c+BDLTq\nr9O+USvCLvjD/E8XM6k/YeooLfdywdxzqqXbdQVdaUdV/nfOuLBKqzCm1dbrbGbRmXnWMxmCD1de\nKNh/jLcnWj3czCaPYA95D9r7POaUM465ZOG2zOYt9Z2B8HKCJNc5smOBB2ROv96T4PsIHxzUrmfl\nrrjrzniZd6gYOOUpR3vtfsC7iPMJQtngYwlySl7QpVSEahBGs/ciBIl5/LqU72HSNIsv7dH3lOJ4\nLPx45tuVsy8JzWJOSlYNeaWxqyCW9xJcSXiW8hq1AjYuTgB/Qg9Vkp2zCxy+pGCo6fGSNcwD+VCA\nWTykkpEyAQyZgnKxcMWSKaLoAB9Kgq9YDKqyLmDikN0PhVJdASS3K2PfFVrEAoKNB7dx8YV7d06o\npNA1uoHFNAWCtYDEfNObigrJmL9B0/W4Vgi7RP00Uj1JhCeC19WQFkCthpyy89q3MYNEAr+FOK/p\nZoKbe8QFpPVILKk27NoUS3/dJMxtf1oHcmP+bt9pokHvfQwqFCyf78r3D45U6c5pnuDz/sMyuAxe\n82ydsSwaciJHBwWlLc3zrcC11trUirEWkjp/rQViV/ta34ftI10Apo5b5cw15/wl15UA66fSox17\nlHasy9+sb0P7W4WL5ekx97b7zj7Dx/hhywsF+9d56wNdt2DLfR5zn8fc5Skz17JcXjG7vyOEIQO6\n9eZDDsu8K7gTyfnbixZmZ0NOD3zBA96lpcYzcI+nnHKW6RzXUvkeqkhyicHBcFLG5JxsuqlJaiIV\nDrQ+soCRAvRRIIX8O17N9kL9JGP+RhmtBHImS90H1veZItDoGCn3D0kIkbxZSmnPnkaw2mv52SH4\nlKikpyY7iUPhj5LzdDRUVURcJPkBqWKOhtlCtYvUW0hDYLNo2CwWbO/P2SwLFWRCDWd9x2q7Zbnb\nstptmXVmdwb9JBPHqeuFegNVFmfZaqpzpZas6dl9RQuQHHCt04gcdZ7ZkLpp/hZMP9lIGMOD110k\nbBKzsj0k28IZP5GcLmFg9OOok3qaNwVGfrmD+mLguFmzrLfcr89IzuWt/tYJ35r8R1Nfgs0sqTH9\nem8m/aFgZYEMrjubB8YsoXpUAK6yVTI/65jtetK5R2rwO8npLUh585pjSHdA7uQjPfin4M4KvaXf\nfOpjmFJ6iXEzd+srsKGyc67nRbL9YAWHpb60P1XDtuG7eo5q5RbYVeCqZaUcvApF3TthasVjztef\np4JWv9lzKO8L9l/5ylf45V/+ZWKM/OzP/iy/+qu/evD/R48e8cUvfpG3336bYRj4lV/5FX7qp37q\nxti2KpcAACAASURBVHt9D3/5gRrZSMdxWnMc1xynNT4m7rszHqwe8XLzNq+cvkUnJSi6fJAH1UPu\nzJ+wXFxRNX0eXcrbpaylLuYbHsweE6qeY3eBl8QqXXGUrlilDXPZZaAl5fzyoSYhNM2Wk5OnvNR+\nk/ubdzhZn7G42hDWA06EkBJN7HFDIvSeJIGWGdtqSQw+J4DzCe8zHROkRL1Eydv3DRBiTlcwk7y6\ncB476q4jbGPegCVkgQbk2HXnsoDoZZ/75dqydl21WUxPF4S6H6AVqjYytCHnj3equXsSgkjuMJcc\niGMIntSEvLlKDAyhwjlo+j7ztRN6pk4Ds9hRuwFfp+v8rTqvDFWQtT8ZtUB1aNmJq5qnvpdq9dMl\n8doWCzA3aZIlckvKNVIoDVe0MVciUhxZ6O73R1WtTgWPUgrWKWlNJHUma+rjHpwXqlmkmscx8scm\nO7ObkRu/yZ6C0KrlJrC3eWHKUWpHKqGMcZb3aPYh023+Ko/lA+CrssUUohQaJI7tUiqprJR1y/xM\nT36WW5GjZexm4DeFRFrQt6kMLN9uM3DaPlENXzVwBXMbXTRVgOyY0AguHQ/KGNg8PJrnCEYr01KI\nSu3YPq8Zw1JVsE4tlT1N+HzKe4J9jJFf/MVf5Pd///d5/fXX+f7v/34+//nP893f/d37c770pS/x\nfd/3ffzGb/wGjx494ru+67v44he/SFVdv/W/4f/+QI30SXL62G6g7iNxqHmlfsRri2/w+OQe582K\nbrJ5ySvuIS/zTU44o3HtaK46cnTHElbVFU3dcq96ROdDfk6fd1Rq+uy86+qKtq5p65ptPUMaWB5f\n8oBv8in5Kq9dvM2DRw85chdUuz6nBogDoYemhWEXuAxHXFUrLsMRl+EoWyYlU/2KDU5STosbBUq0\nSTVEZrHFpUhNRz1Eml2kuhpwlzIOOAU41UaUh1TtQieq/s9UH4R6V3LDb7LTsKsq+qqiqyo6VyHJ\n4QZH6BxVBwlPP5+xPZmxrWf0LrC47Fhctpw8bVlcdhDkAFDcHmwka+bq5OoZzVrNc64OcAUjGyVi\nQzdtTnLV0mEMN1Sta5p1UbUzK5AMvyyLUuf5iIB7WCykC/K2fbv8834iwyFgCONipgtG4LAJu+y7\na2bJI8aVljaLpePQ2WgBxQiMPf2i/aVjQuPHhTEWviw6lBX0R4H+ONAdVQwzT+MjdTvQXMRx71f9\nXhoIMYx9tv9mJU8PS8Z1Jcqrh5HWoQKJwGNwT/JxL9gsh29XOEfGCJqyqTinHK6S1X1d7zH67Abg\nIdmRe0UWztN5MQ2ltYqCDdvUosqBXXthrUXrm9BzQ2nvKeNWjpdk57LWrbnuOZT3BPs//dM/5TOf\n+Qyf+tSnAPjCF77A7/7u7x6A/auvvsqf//mfA3BxccH9+/dvBHqA4/+0vfHv71e8A++lpEUWpIqc\nLC94LX2TrZ/hXc/gDp95l6e8IW/yCm9zLJc0Q091mQgXCX+Z4AIql3C+p/KRmXc56iTlaJGQBKkg\nHEfqE+AkQUjcc4/5OF9HnGPuWu77J7xRvcm96gmzpst5V9aZa5ZHUFeJo2pHHSJH1Zb74ZywGAiL\nnmoxUC37HLLXZydm3jZOqLqIeyLURCJ+vwFJSAmXChDVgpsVXh7Br2X0/p+XjrDc+HSQKze+AZ6A\nXwj1KuJXQrWKzFc9fieEq0S4SviN4GLKm7CEyLzqSM5RtZGqzVsO+jaNk77O7XQ6cdVBaHcxskvX\nNZbbbNjtdMLdxLfbbfOmDlrVlHSywTh5FUAUKJSK24Fb57+7uoCTy89wjjxBF6YfTTjmNc78wKHL\nKJSV1tHQPN3dSDV43STl2NxXwU6fuyELEe2PyPX1BCrodpNqNPSspUPVRvxToQqRhM/fu0/4O4L7\njIyCxLZhCpAamaIatf1fAUtn+0ktG3VUqsavfVP63Wr+IiAVyNyRjkHuZl+Hq8ANJVOmWk52/YMK\nptX4nfeU100RMNo+W2wggeXiVeB5c53ONV14poqHdQRr1e0Oz0yb/jnA/q233uKNN97Y//7xj3+c\nP/mTPzk45+d+7uf48R//cV577TUuLy/5nd/5nWfeb/kXHzCdmy7XLqabXworueKBf5e+8dTSEm3y\nd+CIdd5tSp6wZEMYIn6d8I8E945kbU15fBvdoUcHzCE8iDAkvB8Is4G7/ozeNXifWPgtJ27Nx/xD\n7tTn1E2f6ZGSK9uVTI+L0LII7X7gp1OQe5DukTcYd+AH41TtIWwTYZPGwT47rBLADS4P8lTo+43g\nzsA9lKwpTPloCxp2Ac1lbpcLEO4J/m6kihGpymbk5znW250L9EJdCVUdkboDn9uQK+MkKW1kXpzZ\nG/LG1ueMJvt08qvpazUrE1N+sKLRrpiFcTWvNc91ksfJs1QAWB5f+8axz6y5j8bQ/jsma4x28+2t\nuacdQ5j7K1DoOFbtXa0w1d4tVTA391ABsmYUEGtGushGvNhVnTXIFti4vAVmcPmdGskA6TLtV60F\n2jSCk7WIHvz/3L1LrC5Zdtf523tHxPc6r/vIzMpHUeUqm3apJYzUtmXEBAYIecKECWoJ0RZIHoAE\njJBgAhMGjJkw6xHIk5ZoJiAZqUZW44Ebi6ZpO21jk6583bz3ntf3isfePdj7/8WKOCfL1dWZF6lC\n2vrOI7547Ii9Hv/1X2sxDWTKY7SCPDAt62yhNA0rZOfH0LCeT8NIoTSZqGnhiA0MFblybCwxLCkG\ny8AZynFVOVWKRDXspRCslycapDUspEDssPu72f+01qxREBkV4g3Zi9PaU9zlv2dSlXOPMWWm2z/9\np/+UP/tn/yzf//73+f3f/33+0l/6S/z2b/825+fnD/b9x//b+PNf+B/y+JE2acqOEwvDDTm4GFJO\n95/z2QO55IFycXsXcNER22yhcp+mbvxca5OtnrBL+Huo6kTlYdEMNM1AU/eZ/ukHfJVr9ZxcOi1y\n6bZZQMgVuMAds5CnKqc2QbAH9MxHIIfTPvO5mn/vyzYrSPpsNfXR0/tSsXLl8cdIFSPVIVLdDCQc\n7bOK7mnhh6889cue5mV/+pQgdoqRyMqx+LKbDcvllkWtzcYcZAmqHouGsjatxyABbsvSYo6tgJqF\nhGAqsCybRnNVm/0UHLTCwZIFbMBQ87E21yCMuS/H3ZNhByXq2GErdQqyUYBSOL+leg45eat/GnJy\n2TrgxVCKkSoOuSTFLaMwUvnufnYsOzDnXJhzy6MTBGXfr7lnYIO+snwFT8nCtZ5OlZWvJ+V184fA\nH4B7laAEfk/Pb8toyNgyBYmR164uWXa96lmptr31oDaMMOPSfLc1x0hmXuSByTBQXEfQnu27rHe2\neBnf/43f5Pv/66/xVW8/VNi///77fPTRR6ffP/roIz744IPJPr/xG7/BP/pH/wiA7373u/zUT/0U\nv/M7v8PP//zPPzjeP/5ffsyrlHVVtHxy0LuKg1ty78644ZJ+disDgRV7jm5BT2Vq01PoAOaYwgFl\nQWqE7M67lLIrf5dgFejSgp3bcFvn9kGX7i4Hb4MfF7ReZEvT0qcJGorO6KocSzhlv8oSlHBozLUu\ngNIDNTaZi54csMrsIzfEErTNhzrpbOGuMFqj1nq2ySyeUvJZB2EiLPXnRHGvozm+fYklnCRQBXvM\ng4ZWuUmQWaFsWTtlxMozbBzx0hMvXWaE3KXswQ0J1xp2k46jZ625tHVbJIB0PXo/ZO2VhT1Uuaxw\nPA8Mlcf1uTtVaAfCMY5ZxlaY2OCqPImabOEpGKs5kuczL6RlU+09uUbMxhHPPfEsZxqLFeMPEX9I\nEFxRpG60SAc3jV1YaubCPEcJq3nNfwUw12T8WRx4q5js+26Yaqd5eMxatoKvLcc8Y1wHnuxpCgLZ\npamHBaORtS/nnMNaFsZ7jKFliQ3zT7s25++4m50rML73Wjey8FUT50sCtH/hl36Rv/A//w20/ZN/\n8k/4KrYfKux//ud/ng8//JA//MM/5L333uPXfu3X+Ff/6l9N9vnZn/1Zfv3Xf50//+f/PJ999hm/\n8zu/w3e+853HD/g//phXqYdSJivh2S7WvKye8QP/Ab/Hd+hmt/KUVwCs2PGUl5nrXkfcKuHOUsZf\nz8w4h1NCiQ20WUv5APuw4lX1lB807/N76Ts84xVNGriI93TxRd7PYo8whR5aSBeQLkrjhoWDKgtm\nHyA1KXcqmr+QxdVNxcqMde5K1DWBrs4smvrZQHU2kN4G2iFnMxa32dkEDgUxYVLN0K2gaiKhiTT9\nkN3NfYa73Brcs0TqE4vY0bzqSde5mJ1rKQXK0phgpkVlLVHh0g0Pa4vY65svHitA9A4ER3seaJ/V\nHN/Ko77taaqexdCx2HaZMWIxdBkN52QhdUG2sl6X82lhKlgsQaNrK5ZZ+6zmcLZg/6zh8GxBlQaW\n+yOrQ8vycKQ+9lPIyUILYu1Y70u1zpP5jhL2LEff/ryA4czTPqlOIy4dzaHPY58/wy7ibyP1p8PJ\no3JNDpSfkrT0fl0wdnjTcpJxYBPNNsA3yniPHAi1rJp7Hjdw9NwtNGM3cdw115ovW4vpseJkFmqZ\nUywF1cgib5h6cnpHbY0avbOy1OW9aK70fCzDR/cnBQMjhGcNQMsOs+/FFJj4WrYfKuyrquKf//N/\nzl/+y3+ZYRj4m3/zb/K9732Pf/Ev/gUAv/qrv8o//If/kF/5lV/h537u54gx8s/+2T/j6dOnjx7v\n/37nTwNMIJfHUIY0+dlRx55Vt2fd71l3exgcd9UFnw7v8XvbP81vH/4MrWuwluC7/mN8Bef1Pd+o\nPhstGDEHzmF/vmR/uWJ3mT9dFVnE42k0Q4dvI75NhC6SOsf94ZzP0jf4g+Gn+U/Hn+Pd46es7nue\nba/pDn+cy80uXLb81vnnIEtrnxNwcpAu4WqHSjfEKgvyWOdGKju3Zu9WuWaNW1O5jtoMJXoln3Ij\ncJfomyo3aV5lwVvvh1MtmHo/4PbGEpJlXuYiic5mEr2crY9SaG8xebqqzoydUBF9oG476rbPDI62\nY1gH+o2nPwsMm4DrcinpikjFgOtTrldzltvj9WeB6m6guhsI9wPVELMCLCnrqcAeTt2ldkCbCJtE\ntRxIFbkBR4rUcSAMxbqWByGmzQLilWe4zCNeZhps6OMpC1alLk5ehKxx4agOQhup77MUDMdICJE6\n9VT0ue6PBISFcuaBUhsLkAcRGNkkYtBoWMZSCfKmc4gXjv480K0zkyZWnn4RcpmIdiB8EQmHnDUc\nXkVS4+ivAsN5oL/ysCJnZ6dMMQ5DzIq/eHdO2LOFpNQ/tTH3psqNaks4D1pbD073a61aWeNiF0lQ\nw6jktL5lGes9tl66nptgkT35eejTGg0atoJnMu+7hLbuQZb6DQ+tchl2mi95SxeM/YNtsH2uNGAi\nv76O7U/k2f/yL/8yv/zLvzz526/+6q+efn7+/Dn/5t/8mx/pZP/Hk/8JGIX9l9WOmdfO2cQdb3df\n8E77gne6F6y6I7ftFR8fv8mHd9/j/+x+kYMiWuXhf2vxX1mvDryz+Zz9ejUNApU07PvzDZ9dPOfF\n5XM+e/Kcqu654ponJbHqvL+nue+p7waa+x53cNwdLvik/YDf2/4s/9H/Aq+7P+Lp/pYPDp9wPCyI\nlaOrAu15Rfc00J976u1As+1ptgN+GzPbYwGuSmMvEO9ysy3nOLqaz/0TPvPv8Ll7m8/8O2zYcsb9\naSw50NBS09LQEhiIwedB7k67DgdWzZHV8ki1jpkDLwxa511nQZ8uIW048fy9DbZq3oC+rtier7g/\nX3N3tqZd1Jxtd5xvd5xtd9T3Pd06sD9bcNg07DcLwjGyXBxZVS1LfyR0keNVzeGqYX+14HjZsHx9\nZNWU//ctbpFKu7qSlOPB34O/A3eXWRj1uqcOfabxCRu1XswwPutcC8XRXQTai4r2vKa9qKj7YgXf\n9/i6GwusKVgmLNlYjk3b0XzRwef7/D9h1RLExXpNgl8CJ8aFk/CWlUh5Hkuy0tX3Pbkey2eMGL6q\nq56R60GdOdIq16iJwTH4QFx42kVe1i4lFm3H8r5j4Tp8F+kXnsNZw+GdmuN7DfECFkOu6bMYOpo2\n5nczZLTzJJzmwciaLHRf5fs6lRqYx2RsQpGFczTHts68tdYlwG1jbm1SCHumnPoFI4NHCkhwmYVY\n5vEiGwOx2fAaA9NaOGqoPqdm6t3pGDtzXTDW4ZnHPmxD9//elv1Xvf0B3zkJ+PnIWyoe2KkcFBHP\nubsjek9dt2z8HcG39FvHcA3xlRur0NmXSwviGSO+ONuOLLjjghc85we8T01HT4UnV8NccsjP0yei\ndwTPwwc2j5wHiNEzpECXKjoCzrlcpc/FvIJCykwCD1HQDAA5ppDbBfas2HPGPS0NC46mzHOPZ0DZ\nt7agXJ610rLQDXif8ftksdHygibnaetA11S0i4p+FWj6nrrvqbueph9y4NkknlQxNxNvXnacv9gy\nDJ66y/vXfZ8zXw8D7nCg2XVs7g+5vv1uoDpGKnKNoMXQEY4Dy/uWIQXC3UC1HwjdcOJ1+2MWjr4s\nKncsMQ0bIC0w0imwJitrUTylK0d84ohPIJ05kstzG7YDq53H32bL1xNzEpCCeLbhhIW/HqunY+EE\nLWLP2C8XprXqZfVLoSr7t8lGwElBSMB4stBQFccS7AuHyNJ1VG5gRUv0rgigdDp3uM104xDz/VU+\nsrxpqbue9edtbjheRUKViQbB5+txHaNise+41pliKybAP4HpLENpfL3H9Wk57VIemL9JgIu/r2ex\nMc/+jIdVLO/I8kBWvWCyc7P/vBGJhLbOp/u0Ht08pvFYEN8qEAWsFe8RNDX3fmB8vtq+Jqn8RoX9\nH/Gtk3BXfXaVEral0SSuBnK7jktuaELLubvlWViwxtG3jvjakf4Y+IjxRZOmVUKFMNpHhH1Lwz1n\nvOIZn/AuTamHs2LHBbd01ASXqN0wttNTCdebMopg0cuWFqVrUMrX31NRkYg6RlmESUNBYzjVnvck\n6tSxSEc2bkdHXZqLHE+jInercmVVSdj78pY6Um7CUuAeSt6A5sd5iM7Rh4pj1bBvGrqmZnBHknN4\nEolhdOWLhevbRHXo8ftIve9JR5dLL6fsT5DAdwPNMVK7PtfoT+TM3li8Ok+GPeQWS6B2jA3Ji4Xk\nLDNDbrd+F8YtgauEn4rSS9SRzh3xDIYzR9pkSC0cY/48pGkMQywSu4hhxIR1vXE2LONEWZxpNizF\n8DHmkK7bBvhsVmfJWzixTCJ53rtIXfDnlHIf2mHpGZbZynf7rAxdCU77IdJsYxY2ui7LaioZ5ifs\n+YKHsIe1Qq3Aqs2nzU6NxaCpXW40vnYnT9HFkjXepbEzmDYLdaW8VuLKkRY5IB+jy7BlFU+fJ0aS\nIJJIVhCK0yzNHHZk4SvPzAp7G5CWAaB7tYlXliYMo4Kz1r7gKckMUZClEDTv1ewYX/H2RoX9x7yX\nhRC5AYfqsk8t/FT+U9FR0VOzc2uuuOYd/xnHtCA6T9o70ktH+gj4XaZMC2nfc0Zr75Gtp2LPijvO\nec1Tluy54oYDK3pqpoWRS9SnJS+UV8ALRmWiRTlProGpS2tH+bvtGesiJCJVyPh2cBkLzsL+wIo9\nK/aEk9+Zt4SfKNBxfnNJhljOp8xGeRDaty6mWTX0hHbAH2MO8FpcsofOV2ybFbunK7bNmq6qWPd7\nNsOeTb9n3e+IjacvY2g8rk05oc1Fqi7Xa48eUg1xkaEL3xfL3ZHbEM6pelagK8A253RLKW3IPU5T\nylVAbxzVXYltlDl26t6l5yWlrd8VBJQAt0HGxzZZuuLd22PDCPMoeC/2iLX4G7O/JSVYISsKqpSB\nqcQ4hMD9cs3d2Yb7tzZsn685e7nl7IstZy93nN9tCcPwMOgrqEL8d82nBJAEpwKXNhYihst8mwUw\n48LTX3j6twL92560dFSvItWrgaofMtffBuwtfXEP3MHgPIcnC/bPFhyuFhwvalbbI8vd8fTpQ8oW\nvCvzLK69ZTzJurYtBgXhiFhxZApBBXNNmne9h9bDn8Mx9nnOk9v0HYvzY/7+FW9vVNh/wXNUJ92O\nSWcqEm1sOMQVh2HJIS7ZpzVv+S+48xcc/SKLs9aR7oCXjvQJo2VmGycrsi5r0E2V5kCgpWHPins2\nDHgOrOioGQiYUGX+goRAyZLlmpGaV/BFtQNUK8CxLWEyAj9fiOigJ4FfShOHBMElgosEPwruhq7A\nOQc8UWANpa3IRHgHSlllF0kuC1d8EaaO053pecSU8ClQ0+fvkt2M5CFWhbYaoHe+/E7uiDWUrlhD\ngiFly7wIOUf2IE5ZsPpU0Nc+D2f+X+VzxqU/BbpxLt9bVyp7dmn8nj6t610Eo2vzvJ4szblF9piV\nbocV2IWN0i8CwyLkzybg+kh1GAiH/On7OD2GsG8bjLSMEqtM7PxYYd8zrdkig+Zoju/zm+pTys+l\nK57dOpFirtrq2lGBn0owizWiZyBPVewbbXaO9D8p25lRMKFaBnCrEqcKaSyC1qfpd3RcZRoLdy8Q\niNM9luFJuPs8uCdnP+u8UhjzQKotMSEF2uRgN2+Ry6UHTrEHJ4Uwh/JkQEZzLPsewZRWOmf6CW60\n78aXKYyvaHujwv6GSzwRldGt6ciodsRapft+w93xgrvjJXfHCw7pnA+Wn3K7uOKwWBKdIw2uNFcm\nC11hmXrR9JJYDTrbEo6BQEfNkQWBgS7b06OAn296MAouCY+zD/xUhz7inT8JeuGoyVEwezdCO7Gs\nt6T+rTK60skbquhOFr4jnWAiXa+fzaPLvv7Yzra8XBZODWkgpYSLA0NyBJ+o6gIPBRi8YwievvIM\nwZGO0NweWN4ceHab8NsMJ7iYyzqTwG8izSaRNsOIsR6zcHE+B4m9IwdWFQjtyjWVhT4sAseLmuN5\nxfG8JjnH4qZjUeVgY5P6qeD2jAvRNpPG3KwNMEpotrPvwcNsSB1Ht3LRsHuyZPd0xe7Jkmrfs3l1\nYP1yz/rlgSbFUXjq/Bb7vzbn1LsjZaXrlHCQMOkYE4xUFyYx4r/3mSV0xj3r2x3Pd570qYN1gnXE\nfSMSvxNJW/Avwb0sn5YGqvPachSiE1qqor0vb67jxgwV/SrwiV9Eapeo7gbYd6TkiqAGtmna3EPH\nFyWyBHD9cWB9d2T1UUt09/mdjynXlVL7THlOCpa78fsn+SClUnD6dAXpPUjfhvRT+e/ultz56pac\nsPWa7M3fl5+tItb12mclD/OyDFFaNW6Yxj+sF/GTAOMItgkluKi3e456ECK+HgiuowpHao6EqiVU\nPd4VD0ABLQVfEg8afz/mUv0wpfkjKVQbhLFwjD3I5EDZQp5Y9sGRvCd6x+B9gVeKgI4pJyhFQTvF\nM0i5gUmVBuqY56FzCU7JYi5HOtKA7VPrXBbyg/OkkAghFaGfGFJgxzIPt+ToatbpwDoeWA8HQn/A\ny0sh4pOjHwLd0NAuGrqnNcNVVc4p+t5AXfXUdRlVjx9mVnixmJ2lrFnucwfex1ygLSSCjyTvqPuB\nyg/4RTmeDfJJSJg6N4nMMEoblz+XxbPxuaeB84yccAkDeKgU9DyLog9xoHEtMSRck5uzL1Yd1abL\ntYEkAB8bc+vPvkc20cxm7pas8XReLNBzSBf5b64jM3xixr1DNJUqe3PqRH6vttladRKA8gzs5s25\ndV26toapRa97nRtBgk0Mxu9sFdOYRoWy5VSy45TYp/lXzokv132IsIcghT6HRq2XEZnei2Cy+TOI\nWbjzcYYSSWQhL4F/x5SHf89UDugZak5E8VQcQPMkho6CwfY7etfgy6HC/5/bGxX2a3aT4KwE0nzU\noWMR9kQSjo5zXrFJdyzSjpouFwyrIn6d4BLcc6ZusMUjv0xLllUwQkjDyRq28YMHmx7sPJjmp7t8\n6fdKYDYL+kDvQ/nXQEwUK5uxaFTZVAStGoqwJ5KCIwWfSxE7f+JLB3qqNJzOm4JjwJGq0QXOnnRg\n6za8cle8cpfcuw1P0zVP+xt8d83qcCS0uZ9qaBPpCKmuuTtfc31xwfX5Obv1iobuRAGtaVkPBzb9\ngfWwx/cRdxyyYLKVDfW8RLOzGYkHct/aGFl03Wj1aU7mUIzF7IWZF+sqrh3xLRjedqQrcseszpVP\nxliALOnThDPi0XLZizCru5bQdSw6iF0uoBdCwi8gnKdp2QILlcgqtgJHyVSKB9jaMAoKlv3TBcSz\nHOOIi/EyJ7Vh9J0CL7pjUaq7ci8Hpk06OnM98ziBfpaFesEIj1hDZ75M9Dd5bsK/lVika3SMAUxV\nEVUAVc/UMVIwV2SvSPejcgjzDGx7bilrK2BnS9u1ZJrrC0a83tasUYE1O0fz7N95AqAV4rpHGaRN\nmUvRwG3JCfjJEPbqQTsPyo6/58+GloYj6yJCnqWXXKXXnKUtTWpzSeA65cSkq5RxNgkNPXBlA6oC\n3zzwVdgMVWG9rNKBFQcWtAVassLfSF29NPIopMkrc/xUcNMUCbhcJtZzwmZOEI7LR3dATA6iexw7\nJmP6foDQQ91nCzWmRCQxlEJuYsXo3NH5fI7yGVwqvWsz8FOlnvN4Rx2PXAzXtH3NKh5ZcmRFi/eJ\ndlVzXDccXcPR1wxDgBbO7+45f3mfrUliacNYGouvesJyIKwG0ioyVOT6+xpazBJsNr1+rjy1cOUi\n27IL88Vlm1yXheZjqaVyl4/lek59A06YtyxAsUFkYVloTscs8JprE37rSCE/INcWq1UCZS4wreC3\nSTdKLvJMmRkLcsP1On+mumDsHbjXUL0g5xQUXNnpvo9MgsTpSRlnEJ+UfX3B7m/L9+behaWSin3U\nMVZpnGc/SyhrLagExFC+0zLmOyhoKgVv2VV6HrKcEw9LB6vjWF2O91iWMUwD6/Y5aP4ti0j3p/Wm\n89i6N9o3mU9dW2KUB4351P/lPVolrjIqUl72mlR/6Cve/rsIe5tUpU9rTcvGFyDxlNc8SddsBBQm\ntAAAIABJREFU4pZFbHPHppCyZX/FKOztJpzM9nacudQhDjSpY8mRDTuW7FlwyN5DtoVP4dlTKz2x\nFFS1TotUL7yBX9SpSt2qnFFGqfRvjfj8XqeYaYrRZRc3TjEnl1IW9l0ezicCGeIIKZ5gnhDz8CnD\nNYP3DC4wuEB0Eedy8DUVJbtMB+p0ZJXuidERUqIiB4fxieg9fRU4VjX7agkdLPsjy+7Icnuk2XVl\nPsvTTEBXrj8kUpOIBdk4FXpL4zxMNhOgpcoCLtVupEC2GapgX9zteQaqBFNhTjhfTnEAbtMoKKyV\nZlPtRbuzFptYNuZ6XVuw7pjGbFiLtzY5HpQK64lUrvcI7liUgt6FyFgvxrxDDOXx15xq7HMH7h78\nTYYXTp6SRmBa46XL0FW6IOdzqHn2Epytjz/LvzglI0lYHs3vSoI6YxSEChaLsQKjgFX2b8M0yKkg\nqJ1/CVAFWvV87LCBX8Nom7xPkgV6bnNDT3Mt7v48sGwhNr2PmGNg9rUZtEtzfL038riOjOU3BPHY\n0hDqT2uv/yve3qiwV72aedasFfS57+koCCOeJ+mGy3jHWb9nNXQ0XaRyibAAf5Fy4tQsiMYlY52W\nL7nLwFA8iC3n3J4SlxpaPPHxL+lByTrRIpNFETm1E8wYZekXeyLR54SqWCzugQpSto5jirnWzInN\nMgZ61cmKPmWh58kNw0NPqhMRlyGcGKmGXAhsCI4YqhyAdg11GiC1OWs3RoiZftq6QBsq+irQxJ5m\n6GlcZuU0x45wP7DqDgxdIHrPsHAMZ47ds4b7ZkFKI0U14fL3Y0czdDS7Dj/EU2bqpBK1rTQpy6vw\n0OMiF3ob1hA3uQZPuMl4e1CRM1n9+j6MQkuCzVpq8BDj1d9kpQrblQKJjAE1YcuCQiQs7f41pKWj\n3ziGtWPY+Fwy4zoSblIeu5itdG0S8KptX4SoW+bhFyXeYILPTorLQlmN+blkuHoHaQ/+FbnUdF++\nW4FTfSgLRThzv/JQNCeySCVoVcnR0k01F7rWnimL5c58X8+8KKCTdW/jJ1YxWwhVghizH4xxA12P\n4DgLj80rYdp4ka5T5RWWjOwbK+B1bl0T5bpfM5ZQ1nU5RsvfNi85MG3IIoveQMJf5fZGhf3bfP7o\n36eWfjqBOxIeF9xxFW84G3Y0XZdrvwdyca4rxsVitzPyhKrrkc5lLLsq9azSgfN0x1NeU3PMDc2L\nwA8MhWkSpxjrmtGKsa7iYAW9fJMirF3OHB0te1+Evc8KLnlSzCwjV/rP+pgKBp8Dr041X46FeuYj\nPkDVJ6IjezxDIhRhn1yg8w37tGTPipoOkqdKiZhyYPGklAr040xrQ44QB0cfA72v6OqKqBKafXlC\nXSp+gnwgX4K1OZBeWu1OF4We13xYdzuQqZwxY+LOgatSLt4lQT5nkcyTfx6jVM6Dn192DRbCsJzs\nwyPHFCNL19GQk5nOCryzyhZ5Doym0SK3AT4Y4wcFPpBQpsBgEwElj2AOp8wpnb54VPKGbLzA1uSx\nnoxq09sA7cKcR0rBPlMpASkN4d23jJ6BpSsKdrHnsc+hZfps7Ryd3o/ZnMAI8QmGksWNuU8L+cy9\nIUFOyhwWHKRaPPqcJY2dPkUXtQF+zYmydW2cCMbsXm0/CZj9N/j0S/9nrX2b/p9wnKUtV/Ga9bCj\nGfpsJVaMVskZD4NEpdYIGx4WNCovVJ061mnHJTc85wU1HVfccMaWJUfq1FEVa9kPEQY3UqokcOSm\nKf26WPYZrwfIyUTeCPtU+rxmVz9DNxL0elFdn3C12DU9IWb+tmsLdOAT3kPwMWPTDsIAfshcfR8d\nMVW0acGODXecsaDF46gZWNJm6muhXVZDR+wdoc2ZpWGXcLvEcdFwt95wv15zt9ngusTZq10er3es\n7myX6/Isz4CLhLsAd57GQKyttzPfxMwowy8SvoXUprGpSXGXXUmaesCIUMVFQQfC9a3lOq+lMu/h\nquvT+6SFaStYyjoUzU8BuHJulxJhkQhLYOlMY5WShyC3fy50JBhsINAqlzlsdQZcQpK1uMzX6Mw8\nTsoCKNA49250LsW95oFlGyRVYNFugQdF2k5JhzBaxo8FMa2CsLi8WEI2i1Y4v94jy7rT8xrM57xi\np+ZYuTF6jmE2FL/RcEwzX2+ZCnkl04mpo9jRPIh7xxRyegq8Q4ah32GEEeeZxF/R9kaF/bf4ox95\nX8tzX6Yjz7rXXBxuafZH3CFRhZblcsdmc8ulf8nCTWfovLpm1WypFy2+LpZnklAFelgMRy7iLV0K\neAaq1HEVb7iMN5yne9ZdLtoV+mIpJ0e16Fg2O9bNLRfNK86216xebWk44ve5oqPvIlWb8MdIPLqT\ntZ98YmhgKLVqki/QVQL6Ak2UYJsnUoWBus4B5HroqLrc9s/tU4FxsiD1AVLMAVzXZ4HiBgjDQLPo\nWLoDQ/A0dDSppYp9Vl49uTTxAcIu5USprqBNIcESatezafdU/cDq/khMjjAMuE3isGzo3g5Uw0AV\nB+qhp4rD1N23+KdNZLLJRAoSqgmJ9ncF0toyWtsaVujqs2WsvigeswSQ4Ld5jXhBDTvGYJmlHUqg\nWJqcSmJrqAaLlEHLKNSPaRQuOq5eVQlYWaCKBcnzuDND1qKtGaPG3vOSwdZ6l3GyJCsEm4Us2EC1\nZ0QZlCVroYjT/ZhnKSEtr0PURClePTexd1TkTWWO556KBLaOL+8Hpjj8HNax2P1cwEr4654FI9n6\n+3oG+pzfX2T0Um4ZaaJWQViF48z/LWtPx7dQkJSkiuPBQ8P1K9reqLD/dvejC3u71W3PZr/j7H5H\nc5/7vC7Oj5ytbnly/gVvn3/M0U/Njed8ygWvWbLLtMYukCKkIUHvoIVFe+SivSW0Hev2nioNrPsd\n62HPpt+x6PK5XJeFTnSOZnFkc37Hk7OXvH3+Mc+uP+d8uGa52+X8gU4CNJG2kMrCVrBuKDHYRMbw\nPQWy6fJ33A445ro2dehY1kdi41i2R+pDR9gNuG0JPjpykxItjK4E7cqLWy17lsOBlBLB5Wbti66l\n6Vp8F/N9HUD19CdJSOUlbo4Zdz/fb+EAfRU4XDTsLxccLhq6VWDZtay6I3S5d+6DAOict50YrUdZ\nnxaOsNayLGabai7KoPbVkGWlhalFK4jjxHJxp6qUp6zLQ8rNxOesCS16zYuDdOmyRX2Z6Zzck+Gv\nPTk2Y61OWX8LczwxcKzHUEpIn5pSL4HPy3xJIWHuQyWpLfsHpnCEgthSdoISbsiKTZ6MtXRXjBRO\nWwpBVEZBDxLYuifrHW2n83XCvq2ClKKdW/IWj7fehdgqc8VgISjRZCXMl7PjKxYw9yys16mAsfUY\nex4WMZszkgQp6T3Xs7Lei10TQgTuGDP+pXzn8cevaHujwv5P/adPfqzv+SFStT11O1Ade2IMXKVr\nvln9Nw7LmgW5WJjdnvCaP8Uf8ZwvqGlpY41rHX6bCNcRXsBi3+Hv7lm/OnD16R0+ZB57NfRUQ58N\nhvLwXMiY8UW45QP/xxxcQ82RZ7ziu/w+b/GCBccMwdwWy+4e0meMOL0+N4l0FonnA+m8NDoXRLNP\n+G1ieWypbgbWzYG+DlT7gWqXK0P6XRwrJ4ru5hkDiOWlbBY9oUksFh39wuOPiXAfCfcRfx9HgXPH\nQ+GmYWlvbaZ3Lm46qk8H1vWB6B1VG0+dmmgZecMac1e5zI291hOPW9X/ZG1LeNgkINHixPKwi1bX\najH5ElBN0dFf5nrv/TrQX3hCH6n3A9V9pKozA2ti1cuiN15Ee1nn7N6LhuNlTfCRxbZlsexY1C1V\nNTycRwl/y9m3XkokC+AjY/MQWcqyjucCWBa3FKrmVrCLYiOqbWOVrLB3nf+a3LfYCr6K3IPWQg86\nn+ANKR/dj+53bp0qmKv7U4B3blXbT2N0TJhKFiPXdYmjP/cAVYOoM/8TL98qN1ty2DGtpNkweju6\nBnvvMk60ac5hVOj6u4XFUjnny7KP7NWOr2V7o8L+2f91/ZUcp68cF80t768+xncDF+maYRKazwlc\nT3nFU16xIMMPsXOknYNbB6+guu+prntYHkcLyQaJKkYBVHj7580d71af4MLAmbvlnHu+4T7jmXvJ\nwh9zkNa4s6cyt2akJwmeR9ww4KuM8VbHXFvF73Otjzr21LF/yNXWYi3uvluSa6BDFpxflPEKwiIS\nFvFhLRW5tLJYbLBNUIo+ZXmX4VPCNz21BKBjmlm4JVtudt4appaSFfb6juXP634t3qz6JBL4sjIf\nc+WtG67Xoii2dHTEg2NoMqXUHWDoci2ZE2pgMWzBK7KQC1NocIGuC7T3NdV2IBwG6m7IcRdrfepd\nkvCxc2DZHZR7u2VUNhaflqBWiETzY2ECm09S7iM6R/QuEwK8yz0UyFRg7wrDSwL4llGBSsgpuKn7\nsB6G5twGswVTPZZnYLN1rddjrXc7dCwJQbs+HwuQStFZYS5r3wpqy7efs3AEX2kNXDAaDfKULCtI\ncaBgjlnPzqNr1HPVdwTtSAnKa/pJoF7yn3/M7xkXnAW4dWRzvuVZ+wVhaDnnmjjjK9V0rNmxZseK\nXQ609rnBstulscSrXr75J+TF/S6nB+MuE6tmx7PFS0LVcuZuWbojl+6Wi3BHHYpK3jJG7VWh0LAA\nwlsJ3/bUcWAZXA463ifcNkMBJwvj1GuThy5h4CQMnYTya3JQ7FNyw4t5FUEJDGs9WaGTGGt5XJIX\ny55s9b0uo2IMKr1Nhh4+K+eUwLDMKC2MuatssWMxL0S7EwxghZ1lmFjKpt3mFDsxSIqH4ZqUC5Zt\nI4uPe+LgsnLdJdw+926dMDB03VrYxb1e3HRULwbW7Z7Y+vzdbcLvImEb835z/vpckD22udnvlvUj\nK9bCYVbJ6Wd7zhr6ZxXH57k5fPu8JhwizRcdzcue5rqnuh7G90zBRRuclKKGUZHIALDBZasgzsw+\n8iosc0b3NmdPpdmQFazfrUej++0Z14iNacgqd4xCfMHUyFHrQ7sGlKx1xdgPozLnEgz2GKtn/mzs\nPVhPQNdoFZ59n+fMwq9oe7PC/v5P3uXRTQutCGdXQ+gHmtiySntUKNluNT1LDiw4ZtaJGzIrpjTz\nmCzAYXr8yaFs1cwAIQzUrmXpDnQEFqFl0RypVn3ubasAjPBBBe/MonSLhDsHDmX/YK7DWoIW17NW\n1tyC0zVLmGuBwfSFwhzfvmS2yJUaeGgB6w2RdVQxta6FP2vubM6BPZ9gGEEwc1qkpfjJLdYilNK0\nrns9O4a1nISLC4vWfA45nkKbxuu3cy4kcK749RyLdZdbVcYp5i7FZGEFG8C0lEJZmVY46FnNGGOT\nYQW7feYacxbJAtwht8Ks9pG07/Glnr8/JtwxTYubCVqQcNP7NBfMMKUVWjxa78E8+9i+hzbAKoEp\nbNwqeMx+FqZKTJ+bHbNyE6nKMZr4rsvFzqLDXSf8dcK9Bn+dpu+Lvr8o16LGSKKQOqY9gwUnymsW\n5q/1M2f52N+1xnvziZmzr3h7s8K+/pN3eXSbp0KT2Tpisuc2HlPL3hNRH6dQ9vJVxC0ibp0y1DC3\nFOc4ow5pXNHcPtDn5iQpMIRAXHrSuRvdSCt4be0RC8VYlspjVprFKudWvX63Voz1fiyXHMbgmlVi\n8/NaISWBqzr9O6aNLVS5MZW/q5R0YAwcKnholYFwzwNTgSWI5CkZI367nPMFU/qgpc5JOMwxZjs3\n1rWWsJ671jq/5gDG90DCa2DK8LELV4JR55UwtAFAXbeeheCcL8Oj9b505m+CNWrzHV2bFaCY/ZZk\nhtTtwKprSTf5OLk1YmGB2eCskgXnDBkpevvs7DMWDVYK2iZZSXno/zouPPQgrIchbr6ejxLeLAxp\nlfV8DspnunL03/b038qf8Ymj+jBSfZioPoz42zTCNYIfh/KsX5bPHdPncl7OYT2EuQKqmAak10xl\njcX0raIw1/5Vb29W2P9i+Zw9kD9xm2Gg0XvuVud82rzNJ+EdPuVt+geY/Z4rXvOE1zzhmkt/y3LV\nsrxqcV1L5dopVQoeWgkVY7ZbDal1bP0Zn1fv8El8m094h3N/z7vNZ7y7/JzlpmVBO9bHeEppjs00\n2eUpY3avrBpL05Jgfcp0cZh5S2eQLspnsTTcE3IRtRrcJdOXb+Dxed8wVTDz0rCOEdJ5i9GyEaYv\nhodNOrGKRILKWnLzVH0JxR2ZgXLDNDXfM1pTFsay0E7LtGCXmjzrGErNt8K+ZxRauu/EVLD1TJkn\nNu3fBoPFprHXZ5WoIKU1I+Rgrby5lW6NBSmzlbnOTdnHxjEEQ9hrhVz6t1S7nBgdEvYSpLrmeawE\nc71SjPN7tIJbHqjdrKJXsNjey4bMzX9V9ldJBft+eKaW8N78T4wje54juNtE+DTiksv04nOHf5Xw\n+1Ju5X1zf5bpZXvqKj6k5/xYcNnCNIExMUsJU2KLxdl5MNevdT61W7+y7Y0K+/YXy9s3f6n/pK1L\n+F3CbSN+l4it53Z9wcfNe3wYvsuHfJd+disX3PIun/Aun9DRgIdhtYcrR+UjrFpS5Yi1J9WO2DiI\nhRXTFypkSlPs9Qh34ZxPqnf5vfgdfpfv8ty/ogtLmnrg6eKac+7zg37Cic/Pviw0DQUuxaKxAZ/C\nP07r0oKtDFegB1fc79RALCVvY2G8uKfgF1nQu3ddjgGcmjCkcYFbDNQGZIVxUj614C4Zscs51c1D\n6krwu3Ok1uVrPOTr9Ic0CnothhrSUs2y88/5vsC9KvCCrsEG2uzCl5Un7F+W1BVZST4t93Fj7kXY\nsfUGpEj0vWH2HQlqNb3eMNZsl4KTwFSDaeGxFo6ZB/TmMI75WawtOnICoaxBKTGNyGgJyxqexYcm\nVrAyaO1W8ZD/LmqmlIlgMwvTiWklpXJq6s6YDWrXtw2AStifzb4nCqnKUWiOMMebe8hl3lX6mR25\n/nzKz8bdQ0iJcJ9yXMkqIsWfLOtLwt1CVjbj2hoxMh5snSa9C/KMJfCVPyIv01I19X5bb/9r2N6o\nsP/dd76df/j/6KbUbc96u2d9v2e93eMOjtvLCz5Zv8eH9c/wH9OfoY1NxvNJ4OAtXtDS0NDmAmyy\nPi44BWH21ZJds2JXL9nWK0IaWPd7VqU8b9O3uSpgD66DdHDchzM+q9/h9+N3+E/pz/Bu/ynLw5Fn\nd69pbxpSx6lwVVqRudx3efjyeWqibClqsppWEGvP4azhcNZwPFtwOGuoYk8V+5xcFXu8H3BVgirh\n6pwQlSpP2nji4Em9p7oeqK8HquuBqirUzrnncmaGXsg5DjzHiuWy9hCd51A3HM4bjs2CQ9Ow2HYs\n744s71oW90fCIU7439F72qua41VFe1XTXtYsbjuam46mfPohTeMnViDaRScF2THt09qaa5VAs8E6\nmMIKNkin+aH8fsuUtTS37CUsNV+yEq23M6daYvZ1kNbkJhoaG3KOxwH8gZwVK6tZlrgs3C1ZQLeM\ngkXP1F6DreRoh2XJWCaM5szGJERdnEMUc5qpMkolSKsskNMFpPcpXd3yPLuU7/Nk7drnIIVzz+gB\n1eQGLs8hPYP4FFIZ7gtwH5ETC6/LvFkq7WN4uM4r2MgGUQUZ7mfDKlFZ9haG09p6q4wnTHtXXzNm\n5Kru0k8Sz/73z7/9Q/77sDdUloOOVXfgaXXN03BNVUWaRce+WfE6PeHT/Xv84fAdjn6RhX2pLnn0\nKy6rW96pPqMNi9zgo3LQlLMEODYN180Fr+pLXjVPcrmEeM3VcA3DgOt6/C7hd+D7ROoch+OSa/+E\nz9K7/FH/U8R9zTdvPub+9pz+Jk9nXGRPYbiAuHGEOuWMVJetjNNLZJEnwRtAitCdVezPlmzP19yf\nrXLRM3JxslNLx9RT01GnDkdiqHN1y95VDCmw9B2RDoaW0EWcAt0ach+FVW54PBg3eybJl2LULjdf\n6ZqKflHRNblVXxUHht4TB5ezyCxMVazOdA7pyhOfeYYnniF4YnKk3o0W+CNW7+nnxzB7BZTlKsO4\niL35nw36PRLEPS16KZZ5bMeZYdtg1uZYCtyJXmpx5Xm8Ri/+ClKfn3+CsUqqxfx1bBgTzhRPkCem\nDF0Fse39ekbl05v/S4HrO8Hcl/UMdA4pOFn4Upq24Nnt+Jm0j+Hnp2M2oibVH1VqwMYtLLffegNn\nWSkKBkpizVnhjjmWha8sBq+5qslrwc2GvW7BrFJilOPOqb8W2rsix6IsXCcixY4p3Pk1bm9U2P83\nvvno36eVcDj9JGG/cVtiCDR1z/liS516hq6iOyw5dGfs+ksOLDPTpUz6drnlcHZGd7akP6tIi7HQ\nWOoctHB0C+79GS/DMz7lHWrf0ruA85GmPlKHltAnqjYXMiPBsK9o90v27px7d8WuveV4WNMfGtK+\nQELR07lAHzzDwlPVA3UdcXXuwOXkZtsXQ08iAMnBwkHtiCEHoo8sJOLpqGloOXP3bNhy5rbUtEw7\n+1Y45/EhUdUDNOUtF3Qh11ysBVmMbVkjWgyzgF2sPf3K060D/Sow1B7fJpbtgc39LuOhpVSEb3Mx\ntDlzxA2RxbGjvu/ZeEfsXWZHXCf8TcLfpdETs3CBhZHEZrAWJ+U8CiormDwrDHay2tzsZ8EciVER\nWvaR7mGePalrk7DX9ciLUMByzqwxwx3AvSB3TPoBE7aRqqA+SFY7kC1EDSkiKygx9ySlIWFjqzlK\n+Nh7kQITK8ybY2muVDRtDs2qIFjxKpyE9h24zxjjCZhrVM6FDWDbZ74hW8nPy+cV+HtyL+ofQJDS\nuy4etDNzZQPBVoF0jPCbxoEcO/qsfO7Jlrlq2TwhB29fkmMMLxnjH4K75ltijEPdMrY4FBtvM87J\nTwRm/zHvGaEuUT7Wi7fF0NR+PJKrXi59y2V1T1fX0O9JO0+6DcTbwHBXM7h6wm4YzupcktcF0sJl\nrW9fxgh9rNilNbdc8kV6zoIDjTuydlsuWND5CvyQy8S6fG3p6IltILaBoa0ZhooYQ4ZOosuYa8x1\neGKpbJlCrouT5uyXOfsGTi9KqsmdqEopZPWh1WdNbrACiVw5M/eiVfdZyDoj9+FjwhPXloIj1o5h\nkZt7x5XL9NSU8H1pb2etT0dOyvG5sibHjCmn5OgJdHVNrDy1G06QU02fr2aOUdcpK5lFKsXCSnyk\neEATzHuAPgUO9ZL9eslhvaBdNCz3B1b7I8vDgdX+gOvTwwCsPqO5hrnSEPSg188m5XRmP+2jujQa\nMApMccvFJhFve86Nt0k9ur6+PH4JonntH0sksFU4BSXMGSkF9594JhY3V/VNxUAKvbffBIZ1oF97\nhk3A30Wql0Pul7AdcrN36ylYJo5NoLKjMJWcvb75s5qXhVCcR0Fv1dNR1nfk1D7wlOOh76sIoowG\nKXXP6HHIM5IXo/Pq+Qgi2zL2Uhb5wjLqMOfVOyJFLEjvC6aF1ARx2XwaeWw/CdTLT/lGkRmjKPcP\nBP/YvETNAg9uxaW7Y+tf0lX16FrfMmpgLU4tjkvGh/gl7lFHxZ4lt5zziics2bPhnituaGkYqE5x\nk0TMVDW9ADYpw7IqrFLJNzV+PibsrYtu9w/qZpVnSM3Z1ahdgl/zORghn78xENyQ8wrG7uUjrpyy\nsO/qQLcItKuKfu1p0kDd9zRuyF2eQpqwO3xK+G6g3g9wk4Xwdr1mv1lzf77ifr1mc3fg7GbLWdwR\n9nu8pJjetsoxbBzdpad/mmGcilyHv2pjDiyLxloWXRdqXoUrXmye8eLpM27Oz3nr5hVv3b7kLV6y\nOLaENEwTsKxy0/nnQt4KLBiVgcV4JailfJaMLBJReAVD3DJCHYI7xLyyLei2TBtQW2qlcioEr5ng\n4yRT2WLNmO/rHGtGfriEjKVzShlV4/nSuaO7rNhfLThcNuwvG5oXPUtaVrsjyyHhj8P4zuqc8iQs\nLGO9Ku13Rg72q0yBZbzoecnrtGtaCkkKThU1LctNUI/iCGpeZJ/3QA7UikN/a+5D+8kb0zXNDI9J\nYF+xLylP3bMC5i8Z4cs5fLQnKx15ZjaW9DVsb1TYf8FbJ8vUFztUQkvi3ZHoqcgdTfM4sOaZu2br\nPqNzxdc5ANcJPgH+iNHt1tCLoQSeR7ZIoKPhyJIdayKOI0s6Kk68/bn7LWqXFqugAFkO1nLRNsfy\nHhvmOwnG5iYu0FNlrD4NucFK2uNdblgSKd4DDl9OHsqqEcbvT41TGC1cyGUaSlZxtRtIweO7UpJ5\nkWvmn6xFlQ+GUUktIITIkiNhP7A6HLh8dU/ddzR9T1N1+Ms4XfwHwCV8D80hUm0T0WeWle9KKr9N\nSCoLpW56roZbmvuWp/01x+uG9X7Pan9gvd/nRt9xvK6TS2znHqYZvMofEDZtGRMW2rCZzMpmthx5\nCQQZF7JK7flNUHtiadvsZRtwrhktcLWB0Du2YIQTLDauIG5ffm+ZlnC2a8EaGrKWt0CfqHc97mWi\naTrWiwPhLhJeD1SvB/whjnVuVN5B75VdK535m7DuNdkIe86ovCw11pbdsPOjOZT3YROgtB51rAXT\neVVMxnpUrxktewloWfkVU8/M0igF43zAaOwpJiOrXdfS8jA/ZkaFTncQb8q4zjEMgCZ+PUjOGxX2\nr3mCI82Q5f4k6NX39ZiWbOOaXdywS2sOw5p3u8+5j+e0qWRmyZV7SdbUDdkK0guttl9zd0uby0wS\nKZYDKxyJjpqBqtjMaQr9WBdVbAMtFr2M9oEm82XFE8oiS/osVqOVDVCCoN4xkK9xkY65AXfqWKdD\nVoouNxXpqRgK1GMhsYoe74Ycb7ABpNO5EiGC7wdC56AdMkZMynEFz+nFT7LYClvBFUvNVSlX0mxb\nNhKi5d6cXGgpsxJ0dRHCkOCY8hwmxmJUNthlBF9V9VwMd1xs78bA2JzhImEpa26+YqS0rLAX+0KL\nGsaOUTPc+WS1KZPYxl3mQU0r/CxsoXdSgUibg2Bxas+UDriF9JYjvQPpIn+6VCCMs4QY6ehGAAAg\nAElEQVS7TSOP3ipna/Vay9kmhim20YPbQRVzyerTsaT4LOQkYa733dJxrVSx0JktzWwbbouqqO8J\n27ZQnN4Ly3ryZl8Fw5dM16CUvq6lJwtlKSspX3H2pRAUN5BisfTU+TlgVJZpdjwj3CfvawfpHuIt\nDHcw7KbC/uvY3izPnjoH7ABOME5ekYJvAI7tgvv9Bdf7p1zvn3Lsz3gVfsC9P6cLi6lwtZimFp+1\nxK2V/Yh1bVsEqmnK2Ah97OI0eWj2+DDl/Q7kcrcp5vZ/UBhCCXw6CfpYZUGfygJxA3hnrjkwgXEY\nHKFL1H1i0eWyD20FrnZQOVyY9vHN0yNw5yHTCbL30FcZxunXgWHjqQ4ZoqkOucImPl9jvCjXSrnW\nnsyLP5D7mzaQ1vm+/IFc7ncPXtaTtZZhKkAkQOU+b8vzkfB9jP4JU0uyZ7R65d3B1KOwFTMtEwVz\nbBuYtjRJQR0SaLKebWKPzdy1mwKiulcLNenYuk/tq2uAk0XbrzzdpqK7CHRXARegXvc0FwP1rifs\n4rRRierXiIUUzHkk7GF8r23w1TJwpHQlnIVJSznb7GUJxHZ2DMUPdmRhawOkttaRYhzwkPIpId+b\n+7OYt5IABaVaRax1K6PFMq+swLfvmJIG9Uw+JhuX/6Vcn11UO8b8AXkTNtGsNtdZ3kPX5RCVD1Dp\nO+Qw29exvVFhnxt5Zwph/Yhlby38ShTD1FGVFnq5RWAaXWa5V0/M74YdkSlYs4bhErrlgTo39Sok\nHEchORP2MLXArLVsXionC9kIYO2bpGQqGIrw8D7/3cWU+41X2bLPte9d5g13ZMjlmIV9WhRQ2ye8\n96XnrRQUVKfm419uKiRdU7kuKPLP4pRz5WkFt3BfLZI5K0PbHMKyVjFMF47Ob2CPhGNYeGKTGU6x\ncoR9noeQIqGLD5WABJdgjD2jpQijBa1zKWBpg526NuvBiVkhL1IKxrKc5vCRLQZmrWxBE/Jk7Ls0\nn0fL5mhKULsn95bVcQRr6J6SOU9tfrfKZD7vEsoSTipXoOHNd2W12/Id8+YssqjVIEbMm/m7ZRWx\n1ridEx3TlkiAh3Nt3x2d28JyOs88pmOhIgXVpSg1H+LEW+i2YZxrFYKTJyIDQnkfUiDn2YtygoEa\nRuU/Nxa+ou2NCvsnvC6YvaraCLO3AduYqxNWHZvNLU/j5zzpr3m3+4ir9hWLdj9yqs/I+J8eqsV6\n18Ai5b6l3nB7HCf+sneRyg3ULiP3KpqmOMIDwWVx1QVjyvo8gPeYsDNbKmVnh+AYKgcVxJi5+C5C\nTDCEYjHL+rLW5pHSg3YghASVI3hX2iHmZiguJkKX8FkXFEhpurmUqPuBqh1YHHIegh8yVu+WZOy8\nJPY44ZHlhXbGivV9cUEjBPHjA7hlmSPBFxqJaebuktF6m3P8i2UXo+e4yolmhycN7XnN8ubI8qZl\neduyTG1WyrLa7hkFjA24WaxdHmEy16VzCpqwwtFaifPr1PEkiPTcbODXClwL+VnBbwP2ep+KkKpe\nR8K+ZfF5zj6myTCaq/MAc6/61KZg55wFhJkHeSU2y1MWvALQ9WxI2GnMFZauX7Eiwa82i1iW9Pza\nbcOTC6Z4uob1UPQcFNi3iVq6X1nwEvaCatRy8ZIxwGvLUnxKjg8Kwp2jBlLy8kyswtQ7+HQ2bsmB\nZg3Bkz8Jwv4ZL0d4pAj4iQVdxuD2bMKWLmT+yVW44Vn8gvN0R9O3Iy68cXnSHnFP3UXCnyX8MhIq\nw0wJkVRl69lVA5VvWbo9Z9yzZM/SNBsvqUPZKI8JCrXyVPhJha8sxCMYJ0b84GDIjcO9rG4nPN4z\neE/vPSk4nI+npt8xBXofGAp1M+LH/IAjsHfZmgcqF3EeUnKZPROzwvBDbmzt+gy7POYZOt1XD7Qp\nJ7nM8NmYXIZxNo64KWyflMqz07wwNnKHqfUMU0hEVltr/qcFZC0uCUQpjiZ372qGDndI1K6n7noa\n1+ea/bawnWCIOXRUPTJsgFLnncN0zP4uZa/rsxCOLMnZOzERsJYRMzckbEB3lrXpDiV43aSpYWPv\nR2tAdXTmikney9yqDeZYlgFjKZAaEvIWotC1S8jaImUSxop3ydK1cQNv7lVemM2dcIzrTorljGn+\nhVWs1nvSvVvFI+VtoSy9O4pV7cgCOTFlyywfGfKIbI6FDTwLUrOK0OZvLJle/9ewvVFh/xZfMKdZ\nPvbzaONn+/8y3fJ0eM2m21Ifu/GBrAscI4zPunPrLPDDMvdyDeQSA4RIItE7hwsDdXVk5Xecu1uW\nHFizo+GY9yfiBB3ZhS487ozRLRQOFzNtMPQJBofrIcSELyhOhkwc0WeB3voqwzfmriOejiAuTf5P\n9Ln2zMHl+h++UCxdynkAkdyDNhbhrgVlWRHzTYu+CONJo+oy4sbRnzv6C09/nt/Cehupygjzcr2y\n0Cyfew4XCL+1i32O8VrLcQm+jixdy3LXjs/fwiYNYznonrHhuI6/5KFwGXm1Iywzn6c51BAZBamy\nOSXkJNwFpdhYwdwjeGyzCtNapprHuSC2uRkSgldkWFPtDa2lLEtfist6FDa4aiEZwTbNDxlimliF\npt91fDufeifnz8MmoYnRIv79HZPM2VN5j4apda8AeGfO4x4ZFk5UgFrwlHoyTMgWZujca/Mpz+fA\nyCrSfeg5vmbsTCXDQM9DwWfM37/i7Y0K+/f4GOAk2LXZ3yXs7ThP9zyNrzgb7mm6rgiKCJsI50Mx\nXzt7QFzT4TcdYdNR1S2V64necagXdKFmW6/ZuhV4WLs9z9wrlmnPZbphk7YsaHOzk64URWsTqSVb\nVasBmgEWPex6uI5wE3N9+p5cSK28cL4H3+W/yWqOg6cbKo6x4ZAaBryJF0QSjgMrjizJdTQb+lgx\nDIHUe1I7QlGu4O30o3V9srItk+ExoTUPXj0ywl1uqhI+T9Q+m7o+Fm/FWkhm7icCzVqH2h6jnlor\nzHLHMfdiBcNcwMoll/JX2rvdrDWlQJkR2uksK8oJl11Cxw5h54IjJMAsXGCHDX7OrUqrKCVsJdSt\n8LV1cSRgrJKSpWwDqUszlxJGsrQ1RzqvVdZzj0FsFFWpVDDRWsaaXz03fW8eVNcmD9lmt6pBDozx\nEDFmrODUM1QFUZscZuNKmvM5XDQX4jI+dD7rYVkY1T4/xX8UQxFEpKA1PHy2A2P8SNdrx9cE32h7\no8L+m3z0Y31vlQ48719x3t5RH1rYJ8J6oFq1LFY7Vus7vGun3wn3LJsti3pPUx2paUne0+PpQqZW\nDnhqWi64IdCzTAeexGvOhy3LeKQuTR78kZOwD8ueetWyuNizurhjebujjgeqfZcDo10W7qkt3yn1\nPzROwj7WHNOCPUuG5Euhs4Eq9ZAy1IPLFrzzBZ7pU6YrFgutJPXmddQw3SQI5uMxCp0EhvBaLYAA\nrkuEA4QujYvKCt0fxeV8zLKaB9PmzBhrAcoLsEP4r/UGFCNQoTlZbVahaYHamjULMtPoLAc7nSxx\n7TcX9NbzqJkudLvYf9j2WLDaWtR19taI5MzsmO/JrVIuIib6n4U+krl/xUPEMNE8ygOQoJ3zv2WN\nS+hrXwl7QScwjWfYe3lszAPx8rbsEMwklo0Evp17K3Atq2keMLYxFqto7PurQPoc4pnDVvN4nPY9\nmMNWkCqXq7mek736+9xi1N2R2XjzeIOldD6mEL/i7U8U9v/23/5b/t7f+3sMw8Df+lt/i3/wD/7B\ng32+//3v8/f//t+n6zqeP3/O97///UeP9V1+78e6yDr2nLV7zrY7FjdH/B2s3I6ny1e8u/iY71z8\nAccwlXbvuk94133CM/+SM3/PwpT2ExGxoWXNlo6Glpom9my6Petux7ptqfcRpzrgO3D7xHJz4El4\nzTeWn/BTF/+Vd+OnvHX9gjN/Tz1kr8MV68PN3DhX3NI0eIYYTgKfHppDz/LQsj4cqPue1bJltzyy\nWx5Yr7Zs+j2b/Y7FXYt/FUdrxFrWFgZITFkoO6bu9cD49PUC29IASkyz/9cCsy+scahOmz2HgudW\nEFjrX4JY/5Ngsfxp1Zax9U1Us8VCJXP8HB5a2nOlV2IG7pac0h4ZrXqde27ZS5BKKGizlqCFRh5j\nHs1/FqmgWO1pBbGUuR5WjrjOwXM/JEL5nBQRkyK29eFtJq0NyGp+JBQFRQry0b6BsUa/hTsi05jB\nYxbpfM4D03r3Op48KSlf0TjPmMY+BPvY81nloGtXPEVZy5HRU9Na0CZhbq/Vrh9d32PEi9k7Ht/y\ndB8Eum8F+m8FUuOo/3ig+mig/mig+njI93hXjm9jJ5qfaM79NWw/VNgPw8Df+Tt/h1//9V/n/fff\n5xd+4Rf4K3/lr/C9733vtM/19TV/+2//bf7dv/t3fPDBB3zxxRdferz3//NnP9ZF+jbS3PbUZaRD\n4Kq+5pub/8aRiuViRxfqyXeepVd8K/0h30w/4Fl/zXo4Tl5od4CYjiPhMnnCEGm6EvjreoI0sYR3\nl7iIN3zAH3OoaprFgaf1K74T/itv8YKFznFdrO49WYDYjMkOeJKxdtck3HkO3tb7geamZ3nbsti1\nhDqyqDrW9YFjVdNcdyyuOxavW/zrNAaHJXDEKJkL4rlVb3FjxxiEkkU5b+ZhrScbdLMBS3t/LQ8X\nxxwj5ZE5sdnPSpyxcEnHNHOyeuT+7Dm8OYYV7HOFaKlxso6/7H4tJDHHf+e/myJzD+CMOUwwj3m0\n0/O5KsOAlHjMBB83OHeiVFt1haK6cYRDwm8zPdX3McdytNmAug1cSknNs5Ax8yhlMGc2WUWsIKu+\nM8fJ50FrQXWiJ84NAmeOb70VZbTfMw3i6l3T8xUsp1iLhoKoyojVHM3hHwvlaC3pPdlzKkntjnly\n3VDyawTDaW7FMrJzq/f1a9x+qLD/zd/8TX76p3+ab3/72wD8tb/21/jX//pfT4T9v/yX/5K/+lf/\nKh988AEAz58//9LjPfvfb7/0fz9sc8kGciHW8Nb6BdVFy1vdp/xs+s/M2xKu0oEn/Q1P+huuhhvO\n9sdMnyrNuN2nxT0uE5ySyzBMLOeLaQxMFWvSLRPP4kt86nmWPudP8/+w4sDTdMOTeMM67kYr8wXj\ng0zT4d9PVH1P07Qsnzi8h3rXUt30+C8S/nVieWhpDh2bw550cBnzH/LwfRoLcMmSGZhW4XvNFGqQ\nQvgyLFnC5Wo27swxX5l9FARckheJrdNtrWuTLHISGLIQbfLO+WwIbpGlaZOQvmyz3oPlz1slN99k\nWek5yetIjMJCgk+CZ46zWiaN7lNWqCzZuSKas4JEF70jd5U6QKgSvs7CItUO16Sxt2xT5k+1dW5y\n4L/9Vs0x1ByfVhyf1Cy2HYvYsdh1LF52uCFNcXJJAF2HqIaPzZHlqltBDNOuTHp+VhkJFrPw32PK\nT3EJPQ8r7C3MB6MQt+VLbI0aUSRtDaKOseTw+2W8INMqP2HMnrYUa3HtLc5vIa8I/nWkOSbqj3rS\nb7mc59NlRhxdGo0VeUo1U69kzj76GrYfKux/8IMf8M1vfvP0+wcffMB/+A//YbLPhx9+SNd1/MW/\n+Be5u7vj7/7dv8tf/+t//fGT/ZcfBcx8ZNNiK0LXbyKb/Q5/7Fm39zwfXpBmaWfV0LPqW1bdkWXX\n4vcpc8U/Bz4i19MZ0vQh2i0xlmBQq7tlYp32uDSwilue9S+ohoFVPLKipXLdSCW0lQVnL3Xle1YL\nqFYDq/URAtSveurXPeF6gNfkdmp3aax7IkFhaWbCOpWxeE1+cT8rn/NSvPAQYpGFLWtS0JDc7vty\n3JeMNVqslbxmDKxpzEvxWszTMlbs0PwIGhAmamuNzF3px3BvO9IjY24tzuuXWAvrsUCqrErNodgf\nEjCaRyVzWaVgh03IUT0bW+iscK71WjvSQ/pja76zzfuEw0DzGvwfR+rfHahelfE64l4xBgbnWeeY\nebNzYlP+LcxgGUe69jum75qeuVWENnA69xAfw/nnMR6ruHumDUFuGGvjWOWuZiN6124ZFayUwOty\nLEGGWmsW4tQ6mXsjUNhvBSDu0+ihHc13bABe96d3TYaRnsPXsP1QYe9+hLzdruv4rd/6Lf79v//3\n7HY7/tyf+3P80i/9Ej/zMz/zcOcfLz47JiqU4VxicThSHY+su3tiP+f3ZJ657zMF8v/l7l1iLUnS\n+75f5OO87qvurap+VXfPcDTQzFAAVxJhUQTFjcEZwyIBSgYIbwyBpGfDBSEQ4FZaWXtxQ8CAFl4Q\n5MIAbUDSQhJkYEiYHGghy6YepKjp6e6a7uqqunWf55WZ4UXk/+Q/457qGQ27S8AkEHVu3ZsnMzIy\n4nv8v//3RdEvxnhDEvhPSRZ+DmtoceuxFTTq08ADMIkbym7Dor2hbVMiUwmUIaYEp8BgcSnbLpvE\n1bSlOugFvVxWCcoLhkp4LkA9qKb67l5ioLTvSTCLouZBVw9W5lhtk64b5yEpNxPMYRUHmGMKcRJS\nHxo9a69MXzCwQHQfWcvuUbjS6YOku40ytLCciies2K0rpwt6fME/XSHA2EvwJCv3CHJIxhOHFMT2\nZ2gYCwKHAVyA+kL3fXwFWwlTdoHyMjzZ8d7+/BAjk/OGyXeacWan91VeRx44davZITWVCSY7V+/n\nhsGydlhnnl3H54A+98VcPM7hSkmC0AWoCrGZd7Nbs24QeAIVDGvsAwaWTB7L0nvWuHudJO2L7HNk\nX+7GljGzy42OjrtbF+oZ/2vw7B89esT77w8S+v3339/BNTreeecdHjx4wHw+Zz6f8zM/8zP8m3/z\nb/YK+7//IbsB/9kz+Nl9iE8++dTLfp9ViuSutqFkU5Rsy5JNVUI1VkyhjJRVRzGJFF1HWUbKo45y\n3lFOImXZjfHufYdXROwDWm1dsK0qNnXJtioppx31QcvkpCUs21QDXi/cMWo/nE6nAlC3wz12k94D\nbJ6KLsEv+ty9/nzBAMK9JZycleAKzRdVm9gE29OK7VsVmy9VbH+sovq4pZ401G3D5LYhFtC8XbJ9\nt2L7bkl7UlB/t6F+r6UOLfVVMy5w5RtjO+Mjx/KVt6D9biWIYbDQcg63W/AwFq76/z6KoJ5dlryf\nU2TXkhXu5Yl9vmhRO9MiDyzCOB6h4Lf3L/ZjJWG15e7eqDmG7MJenk+eEOWlG+AuVz8wVn4tY6NC\nXodn0vrzCfrxMdd95oyzX31MZFULI18ztqDluVZ2Lc1jGTkq9CbFr5IVLUOJYb27M7veKmsusH1s\nZWTIk/MA977mlrsHdmU02TjHDalQoOaC1gvwr/7vP+Zf/dvf5bM+PlXY/9W/+lf50z/9U77zne/w\n1ltv8bu/+7v8zu/8zuicX/iFX+DXfu3XaNuW9XrNH/3RH/H3/t7f23u9v//f/wV6ahM2VoFlNeOq\nOuCqWnBdHtCVY2Ffxy3zYsU8rpjFFbPtOmGdcygW7SBk3XrQopPlWDOCceIisJrOuJ6k+16VB0xm\nGw6PbzlsbzmsbpkebNLely+A85hYHm6lbRnTA51P7QrigGEC37fn12LXNfRZ9/1U9UgtALc2dDgE\nEvrv9oGt7n6geVCwfVCxfljTdYlCVl51xCuIRaB9UNC8VrJ5raI9KeAWiqtIedENMI4Em3joEtB+\nX70yca61YByakXBy2t2nBUnJPv16wa7b9tfNFX0uUPdllOaYs8NSmxQLShvXpGBpLAqKWUcx71JG\n97y7m4SUw1KRAW4g3SNOe69rltg6tOwKzrHs2Tl5+YJckXncQIFSVxgeCFd+hJ5PFryzp/wePu5e\nCkPz3N+TWDd61tzLVmxE81PegUp2CMLC+ntsY6oYiBtHp6T1IuhHzytjIg/e+9zQXNJzegXMuf1N\n5+YepNFDYw//xSnDDl5mGPzsT/0kP/u3/6fdrf/BP/gHfBbHpwr7qqr4rd/6LX7u536Otm355V/+\nZb72ta/x27/92wB885vf5Ktf/Spf//rX+Ymf+AmKouBXf/VX+fEf//H9F/zFH7KXa0a4XLsueXrw\ngPenj/hu9Tbv84gmM6HvdRe80zzm7e2HvN085uDmKpUTmEbCKakm9T3GtSrkummyZDhirALnJ2d8\nd/GI9ydv893wiKP5FY9ee8xbp495a/uYe8sLyh5vLy87yss4rtN9TRLeCm7C2FKCQXALulLyyLU1\npYt7cStZUGfAFxjcXVlkOeadwQuhjkzuN1Szlvl6Q/ckEK760gjHHcXbEdrItNxSP2uYLwtiBcV1\nTPXoF126rwtgGDBQualeasAV3YYEQXlVRC1I9RXGFDx3+3N8XoLFz+uylkMlLhBzHH/LWCi7IpFA\nKaGdFiyPZyxPpiyPp2wOaubrdWqrFfP1mrCOQwIP3MWsIQkRgxe7h4H2jYL2jUDzekFoI+XzSPWs\no3zeQ22eYSoIz72hvFJkwwCTykN040S15RW0lGeT8+o9IO9eRWTYalCQpQesVZfmkHGw0jOG5d3S\nfx8GGMk3dzlmiDEJ/lRcRZRHVd30XaM8FhH7/pz043FCmq++L8DS+qzcA/XJmV85i6sfq+Bjox2t\nZHzA4EF8xsf35dl/4xvf4Bvf+Mbod9/85jdH//+N3/gNfuM3fuP73uyjv/Lwv7B76ShvW+pPGiaf\nbKmnW7rLgovDEz6Yvc2/r77Kn4SvstnNgnS8wRO23Yx5s+b1zTPqbZsGXXDBKWxfq9m8UbF9o2bz\nRk1RddTbhnq7pd5uKZs2Ud0aCG2y2C4XRzyePeI/VF/h/wtf5UF8yjZOmHZrHrZPU6G1g6RUuMcQ\nOFU7J01MbXLhGLQHAY8YKyKnhml/TVkWWlyCAY4ZXFljeNzBfRWENXZGcdBRzEkPvCIVYjuBOIP4\nMD1PaCJVA6FpB6aFrLdTxhZajmtrIueF0FywbxmEgpSRoCDHbPMjZ964MJGg8aCwriGPwa1T/R7G\nyssFv6ATT4bqqZJF0VF2LXXTEteB6raluE27cO28rzyom3PXhZ9P2Rkm4UEknAaKo74MdxnTs91j\nSPaq7NOfyeM2wsydQqm54O8sp97qmV3ZZTG1XSEwT0LTmK8YvAGPFblXrb4pOJxb1TCsG3nfr5H2\npb1g4M5r7wKH5/Q+XVHp3m4kuCGicdR98/kswzAvb+EkDYeaxMqRAaO4l+7xQ/JYvt/xfYX9Z3n8\nh5Mv/VDfm9YbjrdXnGyvONleUxYtN4eHfDJ/yHeqL/InfI31rq5qOq445oQr3uIjVkyHCSMhcgDL\nwykXR0dcHB9xeXJEVW85aq85bq44bq6YN23KfO0nbdzC7fyAT+oHvFe+y78LX+XR8jH3X7zg3ReP\nqS4Ci6aBgzjseH9CEgAKqG0YhJhcZJ9kmuBuIUmQT0hKQBZmjlG7lS9h7pM8txg8LpB/SuDMoDtN\ndNeuTm5nuILiEoqrHkLIoZScabOPD++W0wnjQNYNQ2KMLLbAgPFecnc3I3eb5cWUDLsjnZCEolu1\n7j7nLrtT61wYThnooG6BGuup3LQszlfMuzWxuya2SUGGbf+pvXJzxeTsHEFh8uwWUJZp/9/qqoOb\n0Av1mDJrj/pnkHLXBh0OSzpLSHi0QyiycFXRVXMv9yqlIJyPLyquPtWHSwar2D2qds9nXos/kAwz\n97Lzo2aoWHnGoES0kYl4+4pviYcvBSB8PQ/8K7B72d/Xt1AUpVNKSQmL7pl4jobDUoJcZXjsqyGV\nMwM/o+OVCvsPikd7f6+M1rTegv0GApFFuaSpaso6Mp+umU87tt2E5e0hV89POd++xqqYja55zJJr\njlmxoKUaszN6y2dTT7iqjnhWnvFJ8YC62rApnhNLqCZbyqahWMfEtAlJum7bCcvlAVebe5xfvsbR\ncs3t5RHbqynxsiQQiSV0s94qnkCYjtsIHuBuv4CxoC+gmwXiDPo6nInb29DX4Un5AXeEvwSgBFTO\nqlDg26zsbh7SJiTzQLegp/71m6H0df0DpL0C3B2VUOn7tjdo6hamgn6y2rPNl1dHU26P59wu5tye\nzYl1YFEtWYQli3bJvFkNbn6e4CJWTxbYBwZXWdZoHk/Jk45yIeyMCRkOEniWQJUK4sVxUtE+JpI+\nXcE4FdaDh02P8W5J3G31I2cR6dDYYPeRMPPCcJ7foIC6v9N9MRan10rYqjSw4jTYvRzKlEDcB6kp\n6OuJVdcMwlnKpmaAT65J7Dp5TDr/HgM8IgtaJQ7kWct4yuFbGMOfuScmKFLPLuG+svt4gBYGJS4F\nLjaTvMXvl0fyFzxeqbB/zFsv/Ztv8wEwlEGDo3BNVXQsqhX36ktm1YamqdlczVmuDrk+P2UVxsL+\ntjpnPT1gO5nSTcvxRO0Xz6aYcFMccB7O+JjXmYQ1lJGq3DDnhkm5ooodxI7QddBA21RslnNW20Nu\ntve4XV2wXi7YLqd0PYbdbaHrSBuPVFBUUNSpBec3e1DRcWIYhH1vVXZ1YFuVNFXBti4omki16qhX\nHdW6TbVrcpqhlxZwl17NLft+0XaH0B4E2sOC9jBV7Sw2qYU1FOsITarVk3beimMLJg+y5Tg6DIsH\nBnc7w0Q3xYQXm2OexVOeVad0k4L7k3PuV+eUZce8WA3jI4Xj+48K51dSjDwrWfsHdn8X9m7lydJy\nd17QkPPPcwzfBaUvdocPXPFpnCSM1Z/8fWmMxM7J+1uSBI+asjTz6zv8okqZ8n5UydWFG/Z9HxNB\nogcMwpls7D343jEuIJZb+RofVduU1S1mja7d2LUDgyL5nr2rmgTrwHhOuid22P/s1rVTQT3xz5W0\n3qdq26i6qLJ0FfTOhT0Myk/xNo2t4kXY52d8vFJh/5T92bWDRe/oxLDDU0vFSbhiVUxpy2rQ0hsT\nNPmhiajKfvXdU7bU3LLgkmOecZ8pK2asOOSGFRdsuSXQUnQNZV8nfsdIkGByKEFWVAcxBmKArkxW\ncNqdao9A1uHsExixaGIBt8Wcq+KQy+KQy3BIVTQcl9ccV9cctzfMWd21oIus5TxwJQIAACAASURB\nVNCPxkWLa9F7HzWE0BG6wKqYcztdsKwX3C4WlKvI4fUNR/GGw+aG+WY1CA1dN8ff82CesGgPQMuq\n7xfuvFrx8PIZx5tr3vzoYwiB6WrDdLlmttykRejB2X34qrNx9nHo4a5AzZWTCyNt6OGHW9/+KcVW\nvaQpw1Mth9gkjJ2t4jixc8A7O0fwzRPGAWn3vHwclImrpCgJQI3tEYPA9YCtZ61K8HrAOhfkgiwk\nPD0Q/bJ34f1U32VNK3Erz8s4Iimt076pdINvZLKPqKDD37mUluaRGxZSXqt+zAUdqRaWKwgpWScs\n+LgUpDWgufWjIOyfcX/v7/MdUgerXhubBG7Cc9bFjKYs02B4wo1cJsertXGDOKx7hH1DxZL5TtjP\nSJuYnHLOlgktJV2MxK4gtl0qUayXqmh+vvhLdmUYYkgCPwYJ+YBviXjHsteCiaSNyPvFEwtoipJ1\nMeG2mHNdHFLHLZOiYV6uE+3UYRPsZ7/Xy6AVwzADfeniNkEGsQxsy5rbasZleUhZdhRNy2S9Ya53\nkTe9A7dsclhAsIhggCwoWNIw7zqmmzWHXQGRvgJpR7Hpxqnl+wS5B7tdeOWeR5P939+Fxsz55XK1\ncwHl57ti65VQXCR4LM4DcRHgOiWhhRcxtXV2TYdK5EnIolVf5bH42ApHlnB+WV/1szJxb+xdeBnl\nOXc2UdmNh7Ys9H6Q9Un/z+8tReYKYh+On4+r56EUDMlKboHLmxARoiPRHSVce4MiKFPZKZjyeOWp\nqD6UK0wREjyb2uNFDv/4vPJ8DH3XPaXPScjreKXC/oLj/qe7W5fAIPQDHdqysKBjwpYlc7bUdBQD\nG0KC94pxEkNksOjnvJTK1FCxYsYVh5xzjwUTbjhgzZSW8q6WlzWmWjDnDItOE9A1+T42h0/u3OJ2\nwVyw2xc2FlCHNUdcUrHmkEtKWhZhzSKsqENzF6/1gOPLDg8aq2xyy5B13EQO6zVVfcFisuS0eEEg\npk1Eig2TcjNQHmVl5lboyyAexRB0vgdOb6E9LFmdTVg/nLB6OCFWMHu+Yfp8y+x8w+Rie9dq90Un\nRs8JaWEqQKsgo95jTk0UtOU7MO2DZPxwmuaeFifQnhRpA5j+s3waKYuW6raj2naJiun0RXlb3nJh\n4lCZxjiHIl72zvUsGqtrhjk0zZqyR0Wh1Dv062dzd3cvHc4QelkJCXnMmgcy1NTy7yuIKst/0z+H\nWG5L4B7EE2s1hO+SKtk+Tz/vFImaoC0pu4rxBjAr64OXlLhiwN6lvKU8dF1/v742cr7/53C8UmF/\nxXEvD8abk5D9v6SlZos2JD/glg0TGqpB2CsIovKonl0pAabgiWtmG0gJ+2sOecHpDtbZMKGjSOoo\nD5qJmXBBKgwGdzJbg3ap0g5Vu3v2P+QwAtwV/r2Qj73RXncNIS6ZtBsON7cUXaRqErWv7NrR5Xc/\nu/Jzeqf3IYM1YijoykBbpwqKm6piW1U0RUVDSREiXSiIRRi8Dw8w5u57btnr0LjKUs5x0gMS0+Sg\ng7MWpoHdriwx3hXAsmid8pZ7c7Jgc565C3zRAj3ZTR6iBJormRxC8jiC8hcqUpXTdaS46CiXUDyP\nFC8ixTWpJHbDYMGLV54nJelvrjzzmMOccYG5/B0LgnFYIzeUVAZ47HCnQzCcQ0oanzxPIP+eoNVD\niAcQZ4Fu2hMPZoHiSSQ8geJJpLiJw3xVAFzv04PNYkYJ84exAVMwlC04J+0P8SHwmFRD6hljD1CC\n2w0hN+I0N8Qe0u+lCCoGA8ONCM1TGakaX60Lt+z3jftncLxiYZ8iRtqTSRvxjYU91DRM2PRV5res\nmbClpqUkakSkDSXw9dIllBuSoFfgJMfpGIT9DYdccEJLwS0LttREQr95d5eqTW4jrMPYsn/OXbyt\nXzypQmX/c5fk1Pd9hw63ZEK4alrqtk1KpB0rkBD3XCsXhh7E24dDTiBOA828YLso2SxKtouKVdHv\nzBvmLJlT0XIcriFcUxct02J7996Of7s17MFJPec+Hn4DRdNRd1tCbCnjBgJUdUc97ygOu8GKFT7q\nQl5CX8KtX+g7dsq+5pmsYvE6bOBBVbGApORdEbgSqIa/lTcdxbOutxAD3Ma0R4JiP7q+IATxsWu7\ntrNoSu4quA1D0NCFkysnlbTW3qpS1LJuI+OxXDFmkCiTVQFWz53QsW+iiz58n1Rx8izQnoSRt1P9\np47qP3dURUe4JZEAPB+j5G7gVPcXtdEznfvzw3k/zk4C8CZhLjx+TZov/mwOa80ZqKWilyrwvyBV\n0oQBdVAAWVCg73KW1/iHHw3MfsNkJ+Bbyv6zoIslbSxpY0FHyYQN87BkHm6ZB2ip0t/agjhapGEQ\nFnlRL+F5cnfhDr7ZtBXL7ZzLzRHP1mc0oeSmOGBTTKCIlDSUXUfRddDGdD8PZr1gnNU5SdfVPrBF\nIvIkQZ/DOi4UYMBkheWVpAQtkiEbeoEUtn1afA79eFBQz+rBvByCcEu8H8PQRMp1OqnsOibblliV\nbKopsSrYVnXaDL2r0xaJ2zBg5+pPZdfchxVLqMhK1WTXePSLtSgj9UVH2XTUTwOxgGIJxSpSLOOQ\nzJVj8Lo2DFaYB23L7Jw86Kn3oevLc5Ei0LU0vtGeQ4t9MsRcYpm8s3CVGqR3uAuMu7elsRPnOvfO\nXJBpvrgQ83iCrunwkvB5URQFW3l54hkpuKumgKNDpxP73ikDhJYTFVzotwwlhi+AjyLFKVSnHcVp\npLrXpfLeyz5R7CQODBVZ0eqDkyIU29BuT1KyWwZ4N1cQHjeS0eOKouXu+snRhLwAW23n6ZoecM1h\nKxkSqnGl0sew3zP6DI5XKuwb0naADRUt5a5tY822q2m6im1XMwtLuiJQFB11saWNRQqSdoHYhLH7\nKAEmK0MvY8rLo+8S9k3Faj3j+vaIF1en0MJtPWdbJ8ZPGVuKriMoOOu4veAjTZDeogp9MCiYNR1c\n4Otw4QaDoO8XSiiSsI+xv1ZDSu6S5SrXL7c6/Rnl4XgcAcaCzy3rDRR0FF1MAa0tNJOa9bRNAFrZ\n+16xp17qujkklffDWx6/0NjpHelSbaS8jpQqlOVw2sugAy0iLxXr8RT3KqQkcwtf95LFHBkrVD2j\nK069C1nA817IF73Qh50nGlbWH9XmkeJVf1TzJcffPVNX9YIc4xbk4Ph4nqglaEICeUoS2A9JWagn\nDKUJliSYQx6ErNJF/52j/lPlPFzx5GtOwv4i/T9UUN6LlKdx2DvB4wwnjOMvgrpyaNCrwfrzSal5\nXEMxAI295lKOv4uFI0WhT41Dyc5qjwry9gpwVwpBcJCU0T4ig7yWBePtHn8ULPuKho6CgWuTnip2\nga4taJqKbVtTFQ1dWRKrQAikb/R7sAZPUw9xsKhVnU8v15NpHE4wKzDeFnRFTbOdsr1e0B4siYc1\n4bCgPOyoQuKvF5u42092NAE1KYzbHb0PEl5unUnb94Io9pb8Tpk4Q6f3EHZKxheTLD3HiXUvfXpC\nj/dHQkuCXvcF2rqgnRS0hwXNYUFTwqRcclI0LIorihCZ12vmsw1105v1OS/bhXKOCUuoCVPVM+TQ\ngWe+3uufT5aUyj9I+HnA79NYQTk8JgtMVF5XjP4eZTCoyRITx1zP84TE9Y4QyqSwFWIKPaa7gxP8\nXm4B6hkid6teutBWWQP3Zj22YJnioyaYIi/TsOr7/5y0F4JYLtrY3OGsBWMu/2H/swt3z4gWTz4n\nO8jK92Jlaso0hXF2tL+7iqFMsPoimEqFzvQMvlWjxkufc+7SgLXRkd6Vx2qkLGa9ISbvTkUTT9gP\nGeZwq4wPjY3mbM7w+4yOVyrsp6zpKMymbw29j4TQUYSOGSumYc2UdcLt45aqa9O2atr1xbWmcES3\nFGWhSKvmwcOGtJ9n1zLpGmZxzZQNk7il7hqqtqUMLcUWwhrCKhK1m0xuJRgj5U4VO1n0skybBO3E\nEFIC1jRhNYXS6SvLhnVMW1a9Fg+Mhd0+1y/HNSNjpSBF1d8r9os6VtBVgVgFyrKlLFpmIfH4i21M\nDJJVR7npBoHuC3KftZxb+K19FtxNbBEb5phkdUoYuDucs5v0XHkwGntHmcK/wxLa13JuuwtnQQZZ\nslOw/gWxRnycHNbTe3Hr0t+/hKO8Ft1X8IknfClhR809Ab37wABXOCtHCkOlg8v+GsHuoZiCBKfu\nq+bxCylKhyt1jt6RhC4MwlJj4F6P5lbO6pFi8IJk8p6AWAa6k0D3MBBfC8TjVMW1uIoU1x3FlUFq\nvgeAx0oCQ7lmNS+kpno8irPoOxp79wZ9Xmk+uhcJPxrC/oCbOzBOQ0VblrRFQVsn7H7Khnm4ZRGW\nzMOSWVwx6dZUbUPYdgM2KR6sPt3yPiDVynAsLGPW1Pc2HNy74t4bT3n4xmPuzc854TmLcE3NlrDu\nBbCoZ6LqqZwqDAtHblu/qEPTQzqRoZhaf9+uDTShoK1SQDQUCSOvmki57Si1JaL3WVazFodcWE2c\nfcJ+Hw3Pg4cwsnxDS/Jkrlvquhs8D1vooYVwG/vN1OOYYhYYipp5//cxj7wfeSBUilRCT4JBQb7A\nQAmUx+MBejUtQFltE8YbUChJygW/KwnH5r0p4Ov13nN+tePr7jk4pu1jIiHuNEOy85QwpNYyBAEv\n+/+fkua9atR41u0nDAaSmixLn2NbOw/GdMe8Fr6+mxMBfN51DPi0J77lYyJhKZzeDQgpS1nDtV0v\n2PkSlD2s1s0Cm4cVm3dTax+UTC62TF40TC4a6ouGoI3lXzB4Bs8ZWH5T4HXgnb69TfLgHjNsZ6gY\njyDefO7N7Xl8LnX2848S9fIBT3fwzaj1tb9jb+dXPRtn2jNyTuIFB5sbpss11XUz1PmuGadV+8TR\nhgW+A0zmRk67FSflC16ffsQXDr7D0eySh90nHLVXPROkh1cEOdyQJpYCWQ8YB4vcPW3ZMQRpk6CP\nq+TGN7OKZTNlFScsw4RQRuZF4q7Pw4YybAetL8GgzRrE74cxBzsXDrKaBAWoKJYLVLck+0Ucqkio\ngSoOgtiFuU9Ot3Q7+/Tx8GCytxy/zAWqrnPBkAbviyWHjtZ7riHIQbhonZ3vxarUBIFIUDt+6vCX\nlIvwaafZOUQkazGHbRx3ViDYvRUJi5KBQqwmYd8w3jx7y2j/BQ4ZDBAPyOudaj5Ieapstj+LW6Ay\nDDzmgd0jL0Tn9xNLSE2Zrd58zDVG8irkRXgNeSlFQVPC60UaqFPcq7zuqB63sITug45q1VKuOsIq\nDoace2bycKYkGQJDDPAThoQyeaAP7Lv6PtZ3cetz9pfPZUHT2OdnfLxSYf8GHwHsMHv/eSiOEEic\nnHZn/9/rLjjaXDG/WVFdtEnYKUlGEx/Gi0cTQzs2uQvfD/Bsu+K0OefN7nvcMmPBDa/xMcdcMmEz\nROCd6SMXVteWlfcinRPXELcpSBsjiYnRkWrL9AJ7O5twszrgsjnkIh5R0HHMNSdcU5GSyHZ91XPJ\n4nhG2lZRlp4zQvJDVp0sv1yoeMDPA3kSzoIovGmxO3wiRagFkws1F/bYpx85rJFDKS8Jst/5v5/v\nmHwuuHXkQldeYpV9T1RHzxb1dwRjb8WpisoQ9r7l4+qMDR0SalKOgiqEk7cM1qPmgrwND/YZxrwT\n3i5gXQhri0RveQ18ja3PAylbzTlX5LqHb2Q/Y+xlKQ7VZZ/yCKScXNgrINsynnfGXiqajsnjjsl3\nGtikmFrwoL17XTJScs9BMYgPgf/Y/+xQ2SlDhU03VNxoUFzHobx8DvwoWfa/8L/+E4CdoPef0/OF\n/t9B/Bd0TDcbjm+uOL6+4ujminq74S8f/AcOZld87f7/y3/36P+gKSp2F4pwL77gUXzM2/FxUjJL\nksB7Qtp78gO4/+Q55X9qef3kCT9+8u+pyy0n8ZKT7oLjeE3VMqpnX3QdX5r8JyanK75y9if8t/f/\nCScvrnhUfcjbm8ecnj9PO1T9KYTvQfy37CZ1MOuhXm44mN5QnmyZb28IRGY3G2YvNtTPmmHjYw/I\nanE6pu3BT1n+Hhhza9sDw26VDYOfFsAZiQt9xhDMOie5tc/tHLU5gyL8hKEmi090uCuIc+HnLu8B\nA81N13ZPYR+9z9lI2O/cM9n3cx5bkHUoxeBJVlrQLpAcZssX8g13qZ9u9ctqF9Ysj0HvzgWmf0ct\nVxoycry9LEjodE+HdfIdpfJ4ivj1ed9yYamx0aExuiTNk32GhMN7su4dWosMMSEpFE/GU618D/Qq\n0N3vThVuGSs3eU8aB2dPeTxDm56oiR2kMdTYaJ23DAaYlJ3Drk32HQ/Uf07HKxX2P/N7f/jDfdFd\n637g3n34Hu8U79EdQHfGHRgjbKFYJWu60KBqs/HvAd+FEy45KS7vBvj0qQBh7xaHk45HxQe8Nf8g\n1Xh/I1kJxSUU0z4Qew3hOSmZQ4s+gzDqoqE4apmdLmlfD1BDeZF2HSo/iWkxPGWw4pXl58EpCQgJ\ngRWDsNX38zr1uWUrSplc70hKCJEFe8RQVOvDvlUk3LJgKGm7IXkPz/pzxALxJJx9loxbNHqHuqaE\nr1xyx5TVZxc2+372Q1ZqDiO569za/+XVCbNVwHiSneuegRbwnnd+R1ArsGj5GTt4QBhyrpxyC3Qf\nPLav5ddxryyHj3J4T3Rgf3+6tz97fuSEiMCQfOQBXL+GxtezZXODxenEEvpuFDmLy+Ma56Q1ccUQ\nZJWClKcgL0JKRfEIj9kJRs2ZbapHJA9XfXdKbh7X8PLG+xTxZ3y8UmHfozj/5YdnFfb7PYZbUqLK\nOZRPufskDam4lISu0/bc8nUoAMYDLUhDC2EK4RrCJYQZlDWDtbBlR7XbTRBxcDN8OjyNlN+DYhGp\n+gkeLkmFsS7j4DZfkiySZ9zlWIsPLMtHgUTH9vV3p41lY7TLG9AGDIK9ZI2ek5THs74vgncUjDpk\nUDLPGNxphznE+nFBlbNbRC30ye/QwXrP93IBv0/A+Xnu0QT7+z4X3q3jnMefQ0g51bRj3Jf8iIxL\nS0vA5Mk/OVyVQ1s5PJaPRW7AwNjy7YuE7TBqXdO9LF3b2TSBca2YfXXYc1gu7x97nseNGY27v7d8\njPKYjeDWW4YAumAoeYfKLVFw/pa7no2z9/yezrS7tWs/Z+yJbhggOd920eMgzlLT+pRh86OQVPUX\nOtySyC2CPZZFWxQ0dUUTKpq6IsaCatFQzxqqSUNdGiXCrRNnY+SLzT915JxmTSJnDjD+fmhIFFK3\nqPPJK+GxL5jnimnfAskFTD5G+6APNU3EfBGpPzDOIhRVT7TUzq4tK1HX9es7tpr3M4d58u/o+i8L\n9uZCJYd49sE5uTfg/fCf/fxcGAU716/PnufJn0Hf1XxyBekB4H2wHPb9yq5RZd8Tk2zKYPlWjArQ\n7bLPX/Zc+nSlK2Hv8ygPNuewoc8FZ085VVMC2C1uCWp5Qa5oBbnonLwPJ4zfmb9DeZHu2bkRlQea\nReV1NpLeiaicRskeKVS9k5w9pONHwrJ//Yf8niAMs7LiDOIhdPege8gdGGcdaq7DYWrFIZvbmmOu\nOd5cc3xzTf38eiy0XdjrZ0EZximOM4hH6b7xATCDoqGvEkna2cktcE1SV1CHpCDV/X5M1Pc1gwDV\ndYRfe0BJ+KJn3wly8qqObj168M+hBReAYnc4w2PDOHiH/V9QzZJxYFBJN9oUo7N+7YsfKPB2YN9z\nZan35ItFiy+HIDz4JiGVv1PnaeeMCF5yzXzsvdSDCqx5ZcgcWvL7CBrycZW35IolL+yWxz1yGMdJ\nCQpk5slqJ8AbfdPce2rtufVFVnuuLCXsNUcVP3DDJPdc3FrW93MrPR93zQdRTmPfR7HvVHhMyi03\nAjXOBwwMJW1a40aGw03qWx4fErOryq6Rzy+PfwlelcebK0xXdprTMJZLn+HxSoX9t/6H/wbwoOxd\nVg4EcnLmdLPm6Pqa46trjq6vmGw2fDh5xGPe5IP1Wzy+eIumrEYvelHecDZ9ztnsOWfT59yvXzA/\nWTF/c0W1aaCEi9kxL+YnXMzTZ11sOY6XnMQLjuMli26ZrPC+qFnsCj4s3+TD9SM+vHiTD8u3OG6v\neDs85q3TxzyaPubkzUtiLzii3MqrBNOg+iivkSaeAjg5PAHD5HyXYeJ6AFCZgyqgVJFYASVJWL7D\nXVx138T0begKBgF9jyGhRsk1D+07UgiCk4RPSsGpaqMUjIRky9j7kKA6ZLCY3KKGMY7sx8twcQkM\nuCsAHIZxWqgrBx2yJIvs98KKJaB0nsYp9zhl6cqlF2QhfDr3RGTcOBNHAcuXxQv8Hfr1xCjxYmYK\nFCoLmf5vBXczYfd5tbJwBS0Ghr1v9emQmTwOh0vEbnKB6vvcSjhqbmucJBT1znKYzb3SjX03Z8b4\noX7ICs/JEFs7V2Oaw2m5UZDHHwrG+QKKPXTZdeBHQ9j/n//z1/FSCfmnfk60yy01DRVbTi9e8O57\nH/CF73zAu9/5gHsfXfIfp1/hD7c/xbde/DR/UPwNVnE2aMoGvjT5c37q6A/46eM/4M2jP+DLk++k\nl/Q6aR/Yh/Ds/hl/9vBL/NmDL/FnD7/EYnLDj3X/mS/FP+fHuv9MtVxRfBQpPw6UH0e6Twr+PHyZ\nb13/NH+4+Sm+9fSn+cL8PX764Fv81PEfsnjzWxzPLok1qU1ISVUfQvEhhA9IAUyld4tNICvKJ9Z9\nht12Thnwe9E8A0OGsBb2GYnzK2GqhadFKC6vhEXBXd5yXktlzrCXp1sf7opHBsaBaLASwJrIEhCB\nXdxlZIVrscIACTn32K1xLah9CiyHRfYJSAX6csvYBbdDRjl0mAeb3UqX9eeCzIW7QyM69jExpDic\nV+/9V3NhqXwQbzmTSErjnF0BrzgPMIN4DEzDLks9bOL4GfSZb2U4ZUgu+h4Dnq1x7hhyYu73TVsm\nuhL9bt/k4fqm8hLcit/4nPN4nge5pTA0V7YMSYCuEDV2nrjogV+nUXoCpfoveMz7I/jJcweiXV8J\nmq5Ic+/gMz5eqbB/xn0igaHipWXR9p8NVap6yXLXqqJlWS/YzCd0x+VQdpUwUAOlkfsXFhekTNUJ\nbI8C22kgHEDRQiBSFHBzfMDH89f58+pL/D/dT3DcXpA475e8ET6iKwNhGoiLmBaCJoMCQCuSRSTu\n8CmEowT17ASaQwG+85BDFK7VZdU5awHSpPHsUf3O95jNcWstMBisHl+0BXeDUzBMfEFK/h2PaehT\nVr3vRep9Ew1RFpszXLxAlwsyWW4LBkvO4TExWPKWW1x+uCDX8+Twj7jiau5iix7o94NBqOnnfbDN\ny5gxbtG79ay++Fg43CRs2p8tMMSO9Fw5VOKxk5i2u3yyeMiT11I7Pzvh9cunvHbxhNcun/La5SdU\n62Z4Po2Dsk2f9v0XAWLNIFXcGFBAV97EPhjnCQOUpJIHeflnKQ/NXQlRKW+f256VLGNGsCr26dnE\ngYG5pya4SPNEa0sep77vsJyeUfPJmUNOz1Q/co/yczheqbC/5JiOQEu1E+wtJZu+Xr1a2gf2mkOu\n2VKzCEtW9YztrKY9KIZdqCANpgotGTYZ14HuINBuC7ZFwWZSUs4jZYyUJVBHVosZL+b3+Kh6nff4\nAvfiOa/xhItwwrqY0pUlxbQjHgDbOFhEqnj5nPRy88COu7oS2tLyovA5n9eFqAueXNh7aYjcKs0D\njRKOfl1nv3hcQG1fgkkOE7DnnvmR1+lW8o6E2oa7HoUHp2UJ5pj5JGveFwU0XyYMYSwMJPDzBBvR\nSBUkXdl3YXi3uXJ1K7FjDAPkBbzy9ySB5YpKv/OF78l9qqXi/dfcEIymnblkzeeZrR00XcVVdcTH\ni9f4zr13+fjBa6zKGSF2HLS3xHUYxgobN1nIGhONfWRgsbn3p7hGYLCEcy9EyX/ydj1wKg69z1uH\n3jxzFsYeoMdY3CN0aM8NMylrL3/h8GBh39O1dA/FngoGhpuEew4N9QZO9L704/l5xGhfqbBvdhb9\nWNirOVI/svhDlUoqlAWUwdz++NJAWqwDbVWyrWo21YR1PaWatdS0hLKjnLQUk45q1jCZbpnWaybF\nhjK0BGLqU1USZoFw2BGJd61xUawgvcAriFrMsqo9ScUFuS+U3KrfJ+z1f7Fbvh+E4RCKrGb1wwVK\nji16uWG5yjnWqnup/47VKgirRBRZqBJSUmwSGHk8Qk1WvJc60HNKcPXZpNF408ErGvriEmtC1p5T\nUd3Sk5BQiQJZko6P59BBy7iIm+9alAsJtTye4gE7CVZlPcvSzEtEyKBwOu4FY0Xi15SgNCbKIi75\nwuV3efjhU/7K9b9j/cGUxWbJYn3LfLOk3LRjSqPKQ7jS1Tt+Gb1W803U55cpPCkrbOzybQlzuGOT\nNcVFZETsoWQD43XiNac0vv4c+96jP6sEt1hDMLxjQUS+P0L/LHENUcbpilQxFyh/FDB7ZcTGnTgf\ngrP0f0t7zm5Im+C17AopFCQeuwtDx3rj6Eb9lmcFTV2yLSdpQ5KqoZhASYQA5aRlOlmzqG44Li45\nLK6ZsaLsTcKmqAh1SzmPREKqZLgvmCoMb8UgKNza7/s0miy56s4W4R1IpmTYBlBBzH7CBXf3sc/8\nGoX9XffTgpXAyAWQT3QYPIU8+JhBRrsCaqqB0lfqDLK2c0s9e9aRBeWBVMfj+59D6JWse1B6Bg++\nddl9p/a8Hsfwd+Lwl5oUoCATcfn9nVbZ33NGj/DjfRxuzRu3RrF+yor2ua97O1VWlnb+Pg1mq9qG\n4+aK45urxBrxGJCeSdClLO9AUq4yDsT62ec55QLfn8/jQ4IBFyRMnz19z4OyBQMuL2Gvv0lZay64\nB+1rrGSAalQMzRP2tEaq7N7KJNZ91TfN2dp+vy+hMaYxDTIQG1K128/xeKXCfsK2x+xbKlQBZ/zZ\nUVCzZUoqcVyzpQwtZegIZZeseQkSt+YzbDwuoJsXtJOSbVGxCTUFkTJ0zRGuSwAAIABJREFUxKKD\nEupiyyLcchIueMAnHHDNIVdM+hKRbSgpq0g3LYihS8LeM/g0uXW09ne32HNLxhcS2Tn7zisgTiHO\nUzwg9myAcMOuDMPerQnzY989JPxkuefWmdLCXWh6gLFkbIXfS2MfD/rW1wcPH6fGEwjXDAtbOH9O\ngZTFpDR1BXa9AFZDEkBLUtayW8haiE47lFDWrHe8PI+ftPZ9f34JMVm6/e5TI2Em6MDnqAu2CXd3\nO5Kl7sFify9ThriHWsHdtH9VahQc5cJWFEKP0eSCzBWZPgWxiCAgISlsWu+v6ft4wV0FqTH258sD\n1UdZW/X3UxMLTfi4V8j0EsGOpTv1WX93L9a9WZVaxp7RmTX5mHmswIkWLxh7pWLNuYEUk6DnBYQe\nAYiCDOU9f8bHKxX2c1b9uMuGFxtHVe1V9bKlNiR/wpoqbJNK0GauWgx6CR50a4B5oF0UbCc1m3LC\nOk4oiVSxo+saaKEqGqblioN4wwkXzLllzpK6l2odBV0Rhs21lTzlOL2X1t0wlEjoBf6dHaryCZ4f\nYf85y3LGbT3nZjbj9mBO2bQctCsW2yWLYsl0BFj2h8M8brHrPq5w/By3zGAQBLPkXcQpxElIn2Xy\nLNIGLySK6bpXQlck5lO/aMN1Pz7ySiTghHE7TupjpgWnxSP4JA92urXsmH3FUF5CzypIQv/Xp4S6\nrHxh9+41SVBJKUiY5wLCBErsoQh9cg7hCTulvbuXt9wb8KJ/el+5p6mgtvjgebJeyK4duVvqOd/w\nRNCYlH3LUEVVORYOpUihulGh/Aunf67tOwrs6p26ta7YhA4p2232d7FgnFWVQ056Zo1hDqFpzniV\nzgnDmr5iDFPVDEwpXWvFWNm5oeT3dmhnTirQBne9gM/oeMXC/havcum7VqVxSD+XO1Q/fU5JG48n\nWKcbC3tZe1mAK84C7aKkmVZsylQwueo6Jl1LbLfQQFm0TLsNB/GWY66YsWTOipqGQGS3rUoAikAs\n4k7oRBckCsT0iSZB8IomWy7wf4hjWcx5Vp3ytD7j6fSMabHhQfWc++U5VWjvCnufVPsEvVu1ueDY\nZ6VqscyhOwp0h9Aepg1Yyk8i8Umg+CRSPk+wyg52cyEsC1tj53GPvPa+Fq+CXrmgFzbqSlH9FmwU\nGWO+eldeS8XHwxUfjF19NcE4DiVIEc2T96UgfHCrsBf03SydE8oUXwgv0v2CB/VlVeew1T7L91nf\nnjNAO4fWX39W7YPgil6wkKiKqz338OBu1f/fN9HJA/2Cxxy2OSDRgtVm1vdnDB6SvDkFeR06kxB3\nJbC1v2uzFkk1za3cws53qlLmsAw1MX2OSbTnCUMhQBUFdM9HdW+cfaUxaxniN3mczdeliBvwoyHs\nj/o3Ogj7IZHKhb4AHYVuF9zuIJ1CgF8VYRph0cFhP6s6oA3QhWR5LhKM0xSJ5dPGhrbd0PX72FZl\nw6xbcdDdcBJfMGXNATdMWVHRMmyHCGyT5QqkWjZKKNJLlDXaC8yQY5Su1X+I46C7pWhajjZXvLn6\niHLbMdusmW/XTNv1OD6gYx81MbeGc6tVz6TFpkW7JC3uQNqLtoKyjyOEAkIRCSekxeHWmhalLGBZ\nfLnVmgffZFlpoYp9oyCaFL7HbhSEVRxBykSMrXxM8oQmZ63oGRr7m6AB9bMXGN1poJsH2tdT45Cd\nGVMQKWJM3s4KCgVan/WW/fPeC5KV6MysHFtuSUJRlEdZuEruUtG5XHlJoDvLxYP1nrYfGKxm7Rvh\n78hhjzy+40LOD13zuX06NbEk5Yj4+5b3LCUkXroOzROnQgordytegeEbErVTMQhvikXc2nU1d0Sb\n9LgKDMaR5vcBw768R32fPMfFcwb03PKANI8l7D8PKg6vWNgfcwnAPmtev4eUQevcnANumMcVddxS\nxjZZQmVHMW0pD7ZUJ2uqUECXBD0xUJQNzDriNNBWBU2sabsNXVsQtwVsoCxbptWKw/qae1wwYc0h\n18xZpSBxbCjbjqLpKNYR1n12b91S1C0lW8qiodi0FNcdIca7WOU+gf8yWOdTXvK0XTNZrzkOpESt\nJlmGbNLPu0noR94P3deFvN8zt/wlpDWpt2aBps2BoUyYY9BCVcnj0q4pj8GZKHkwtsrGKXfpG+6O\nowsgfV9WpgKrWqQS3DmOngt7nRfte7Iqc4aLFu4cuhjoJoH2sIBjiNsubWm5jcRNH6foM6nDFQOH\nW3x1GFNlnc3hAsjnVz6X9hkTCjx6yQUnALhylWchoaQ8gzxpLC+9AWP4bx/VVIpJmL88NzVZ3V5m\nAQaYb/uS63pgVAaALON9AWIpvdzT1Lya2/VkJASGZC4RIdxYkidwQvJa7vf9+KTvh8M6/s48fqF5\n6WP6GR+vVNifcAHcFfbDIct+nFN7GG+Yx1um3Zqy6QhNpCoaJtMV88MbDk+vqIoNMSZBH2NgHq6Y\nlEvKYgtlTIuxDcRN2LluFQ2zcs3B5JqT+IIJa47iVa9clkzaNVXTUa4jYRlhFSinLfVszWx6w2J2\nwYwrJjdLynpDiN1dDHUfNKIX7lBKTu1ySKElVfDU5zU7CyrIgnarR9/L+yCL14WHC11nengykFm2\ncQbtcdrXsz0KxGmguIyUF5HiIlJ+N46/4xi37umB0pd5O7q/qHrOHJKAlzKCwVKf2Xn6vm/bJyHv\nwbsc8nILVn/XOLv73bdwHamedpQF1OsubUS9jP3m4v0Wjr1y2G0sL2tVlrpb5up/TmnV/NEnjIVO\nLiRcYTlrRPNAglIBb+VCXHM3ECy++KY/XxuoHPVjmcNjuXGTs3MqUvmNkiQkTxkUzKX9nNeIz4kZ\nOS0y2nf3KUTFG3xsVV9KJULMa9vl8Hjf9Y48rqG44TOGueaWvbJwPenQPWdnKX1OxysV9qf9fnr7\nNizxw0GdQMcBSw67a6bNmnLbwDZSdVtmLDmsrrg3fc66nCZhD8QYOOGcw3DFnFvqsKFsWkptWr6J\nsIKq2jJvlhx1V5zFCZNuw0l3yWF7w6JbM9s0FDeR4jZS3EC3jFRsmdVLDspL7s3OOZ5esChvmLCm\naLuxq+YCPrf0h4e9y8yB4eXbJAu5UHrZNXXktTh0XRf4Lii0KF0R7WEQhbbHmwFWaXzCprf6RQt1\nS1ysFl80brHnTBz11e8rQeTwjix7h4f0XG7Ny5PIMHRmjBebW23ecg8po/2GCYRVTDDBZd8Bz5QU\nywLrn9dfWQ3X2gkrsW/yHaK87bMwnbaqT1nPeUwCxlx2Z9coTuMekw6PmYmw4OyuKvu57J9R3ozG\nxT0muLtWnNsvBaLcFc+G3bcePK/AWTf0f5MyWDJ4gjMSTq/xdUzf1557o14fyKEyeZWa8/vmlY8n\n2e8+h+OVCvv7PP+BYOvB7k8/z+Kaw+6aWbui2raETWSy3XDQ3nKvu+ABT9kwIQYFVAP3ecY9XnDI\n1YD5d1vKtiU0HayhnjbM2yUn3SUdgbrbcm97xdFmyXyzZbpuE22wT/OPy56uWd9ysrjgfnjKKecc\nxmtm7XpIQHFhn2vu3LLfJ+Td5VRwM7eMIp8+STyQJQwahsWbW7RaMKLm5UXJ+haWJCt+E6lk6fY4\nZTgiubGCKS77zzXjReiCVUeeVOWBNa/u6VU53UKfMmxSIYqg6Hh6XvcMJIja7JxcoO6zDiXg1GT1\nPmcQ7vsyaGF45359KWrVRn9ZwlfeP+xaDgfklE2nWkqIqm+CLiTsJ4yFuZeycM8nZ73IM3GrX5b/\nEWkufJeh9o1q82xI7+sx4w1vVFlS81ZzXmwj4eN5CQInIijwqeCsePfi3sujcuGtObEvnpV/Om6v\n/7f2eydxqD/uIeYG1Y+SsH+T7/2AZ46FfR0bFu2KxXZFvdkSVjDdbDhqrjjrnvFm/F4S9ob/n/Gc\nBzzllBccc8Ui3jLbrpkst5TXHVzApNhwOL0mLFomcUUV20RlXC2pl01yw+XK9u72pNxwOL3i7PCc\nN+JHPIxPOWkvmG+XlOv2bv13p3XJ2pSF4YEl4XVddq7jh94c934Z9p5v2eZBzXyCO2Y4fhXj1k/Q\noAXvWLcWsFvvYkioLxKeOctFgkjNg1cSULK2LhisMe+/vy8F9HLPRBhs7s1IgOaYroJy3ry8sYSh\nK9U8ECfFtsdL2mHlMMwVIwKMBPU+YQ/Du5cgdNaSn+/K38sKi6Z5wiCkr0jehAKlTmueMJQePu7v\n44wfYd3C6BU8v+z7eY/BM/N3mMdocuhTwV8F2z0HwudMnndT9edc9tdRXoMCuvrblqR4IuNMWmX2\nvmxPYVnvvj6lFKV8Fcvy5ky3HzXM/o3ND7pV1cDRgUi5iVSrlnrVUd22dLcls9WK4+0lD9tPuOKA\nLfVI2N/jBa/xhDOec9QL+8m2ob5tKC9aeAZ12HIw6ZjM1xweXiXFsmyZ3DRUt22aVErxvoRwE5lO\n1xwfXPFg85RH8YizeM695pzF5pZy1d6tf2Ec/N3fRE0TLCGLOoc23MLLU+VhPKkVbPPmwl7f2Ucn\n9Ovkgi2HCrxUrhhJebKPCymv1a5F0Nj1ciaOFJVbScJgc28kPzxoKiaqC5TiJef44R5VDsfpZ7+m\nB6L16c0tcB9Lh6D0/A5jdf34SaAe2fXy2I9+LrnLkfcCdAoy+pxUUb1Jfw9tnj2zazhXXwFrlcE+\nJc0FJb7Jy5GwFxTisYiHjD1MD8rLW3BF6eftg1/0PYdr9LPG1WvTaEz0LiXsJehzxTwlKUAFX+8z\n3vlO9Xyc0ilD55BhHUiJKGYjRe9F1T7H4/sK+3/2z/4Zv/7rv07btvzKr/wKv/mbv7n3vG9/+9v8\n9b/+1/m93/s9fvEXf3HvOcf/drn3959+pEBX8XGk+ChSfBzhKnJwcs3D2yc028A0Lmn6R5HAP+Sa\nBzzlAU855Jq621LdthTnLeGjCO9BedERXkSqZx3TJ4FQJHhCbTQx+sm7OLrhwb2nbLcFdVxz1F3z\n5vYjTtYX1MvNkFV5wVDn41nWCoa64Ura0eSUMO4YLGHVW3F3tWCwMoS1OtSjBeETEO4K+lzY78MW\nvTmN0YNvLgyxv8NgrXodkRxrjtn3ckHmsNXLjpcJWf/Mf5ffR4dj6HmgO09+wq4hSCWPJ+RWfd7f\n3AsJJKHoG43kLKAc03a6qBdAU/NndmH6gkGQnjNAY/eBt/preXltceF1fQmyCUkgnjEIzwsGK9dL\ndk8ZZxCrBn4eeM7HTOtB8KYSyATX6Nnk2eVlKfY13c/HR4aJxsUDv1d2rvZ2UEb0BcOa8CxelV+W\nFa916Oe4x/85HJ8q7Nu25dd+7df45//8n/Po0SP+2l/7a/z8z/88X/va1+6c95u/+Zt8/etfJ8aX\no/Kzb+0zpX6AQ6nf/cQoth2Hpze8dvoJs7MV9188o62TiSXLfsKGw3jNQbzmMN4wvd1SftRRfhgp\n3uvgz6E4iBRHEY66oZJmHiQy9zV0kYOrW167+oTp5YrTF+fMLjacXF1yfH3F5Gab+ln2fb4kTQRN\n+hcMtegV/Rff1u8lKMGtytwFlCWmgJISk5xmty9A67Q7TSq3OHP6m/rjWYBl9v28GFV+5MGzPIYh\nJo1bZbmF3d656t0jp1HCXUs7f/5c2DsU4EI6D8rlVrnYUBJWvpCFg3vbF2z1e+XMrGDX19jICPCE\nqJwFA2NB5u9T70KW6QvSOz+zdswgEBXYlHd5xTiRypv6nwfFFXsRtCcDQlsMKo9B93Pl6Z6eQzve\n8t9JIWonMfcQ8znh3q0XQ9syJgA0DOtDayXH7PWdjnHsaELyisSA8mtIGv/XgHH++I//mC9/+ct8\n8YtfBOCXfumX+P3f//07wv4f/aN/xN/5O3+Hb3/7259+t//9h+xlpuXDNHL05Ib5bMX98py2qYjZ\nk4QuJgZO26bP2xbeg/BdCO/FFCjKrQcdmgQ1o2zCcBw5vLll9nTNWTynva0onneUH7ZUTxuqq3bI\nsHMBkgs5Uc9kjdT9dy4YlJorCLnIPilVbM0TU7yOyAXjZBjHRB2vdmXQMV7oM4ba/cognABv9u2N\nfmwe9+1J/ymIR26sLDZZZW7l6xkekASLMiwVxFOgVYyIXJD54V6KFmdu2Xvaem79w7BA/feaJxpH\nF7zqvys7QRLe8r57TEJQkCv82I/lU+BPSeOeY+4eE3Jl5YoiJwkIQ5ZyLRjTHTUH7jPMgxvGcysv\n+xwYCy1PyBNcGRkoiC/67+WWfa4wNCYwKBAZQYIohcOrPweMM4Bn7GCs+LQ/f0Yq4yGB7XReYfjy\nlvQcuaxwrF5c/cgAWwoyumCI/cireaP/zKG7H8Sg+QscnyrsP/zwQ955553d/99++23+6I/+6M45\nv//7v8+//Jf/km9/+9uE8HK11PzpD9fJ0HOBw7xvB5HqqqF60Yz2hx0d+eISvCLr+jnEBmKXGu1d\n+RGmwBmE+xA6CCVUk4aq6s24jkFAy6pqId5CvOk/l/QZpkPb7dF6TBKGmpBGOYziiH8C8eM+INpb\nUEHBuhlDIBTSNojXwDOIn0AwSl3QFoH5hM0Da4FxcaslxMv+mh+nv4Ve8YSKXTboaB/TQwaoRsIx\nZ6fkAl/Wl2ApVVpUxqzS9fdBLppyL2NU+Dn7YhKuBPVdwTWeI5AfrkDyRZtDEDmmn0Np7mXoPKf8\nwd24jaCtXBC5UeCBVUELDv9JgHpAekN6Fy9IiUGy6L2kQB7T8JIaeakHZ/c49OXZsbfZdcVwcS9Q\ndEYfh7w/c8asrY5xhuyWoYyFj7UzxCS4fT4Ib1dcwj0B9wa1drYkxah5fWXX9PWXF+rDPj/j41OF\n/acJbh2//uu/zj/8h/+QEAIxxk+FcTZXL/3Tpx5FDUXXj1HoBZ+7Z9fcZZLkL8D3Q+21cdxC10Lb\nQtdA3vWwSfcuayiqJOzvuPQSkqT/x7qfmw20S4hXUJRQFOmzLBkw/WcMNEJZaQoGnUMMfb9u0zOH\nNo3DjhEi72M+3DuSniveQIi9HNOCqxlbvb1LGpUW3gvYICGrOtvLXnH1wicECH3ae5izw3Pji/57\nPYQR3JvIISXHnoWxwoAbayF4Ea6cvuqCPDBWBrIo/ZAL7hDdPuG4zX6Xw0O5IZEzMfZZaLnw89/r\n0++37z45XJZDELnnJsGUC3tne4kp43h/y+DRiWLp95Hl7l5NZ9fMKa/ydNzyl0dhc2307nIGkfqW\n/72Hs6IMghvSvPTYRz++AYagLowpkj523g8pe81T3+rQ5YvX3pGSceaQ2Gq3JA9YJA33zjs793M4\nPlXYP3r0iPfff3/3//fff5+33357dM6//tf/ml/6pV8C4OnTp/zTf/pPqeuan//5n79zvf9lOvz8\nNxfwNw/unLL3CEUv7GqzcA9JrtBrwKM9T5JPHFHGFBk/6IVhPwliMCOq/yFUEA77JtxVPOIHJHdM\niqZfnKFI5xZzCAdJ6BaRofpltH6/DfxYf013Z3uMNEyhOGFXHTK425+Xqa3T/cIxxPvsLNPgBapy\na7JXHIH+/1uSt3HAzr0NYmWckAq8demccND/TVjsQVJGI1da1pXgBUFaEhpu8Wm/VcUhtLB0ngcb\nO+4uUA94aQG6UNXLdWXR2fdfZh077JEX+9LPKwbrUV6e31OK1qpg3rFSYWz5+nzWdXJhr+t6cN/P\nz5VFZIAOxagKjOu3aMy95SWP5XX4DkwvY3W5knEWl4weF74yfDRvRAZQkzfjrVciwb0Mh610X7V5\ndo4HrvXpBRZFfsiDuu7ZLLNrShF7nx227fNG4gpim4ytzjz7b/3hH/N//W+/y2d9hPgppnjTNHzl\nK1/hX/yLf8Fbb73FT/7kT/I7v/M7dzB7HX/37/5d/tbf+lt72TghBOJ+ks73P3Lcu4L2L5Wpfbmk\n/UsFsR5WdiAStpFy1VKuOspVS3HZwXuMmwfQ5HrmgsAx7wm075a07xa075S075YU110K/H6vpfio\npTiPd4OpeSnXLwJfAf5y/1kBH1t7yt2U9RzCEBVMdLApQ/VDVefLrbx90IKsMQnyU0Z76u7cecUP\nOu6ygDwAdst4WzwtLk+n31co68TaPcYFqi4Zl+HdB8HkgdVc2MNYCOozP8djI8Lp51nL6Y1KqFLL\n4ZfAeA9Uca6dEimvzjd9zz2KPNdCzywFIfaQz5P8+dR/CdbAeL/VK8bCFAYapgR1ZHjfCgznCsLh\nmC1D7RhtoK44lVg+5/Z3NQWN1cQo82fKvbncy+qh2B1lUswZn7MwNhx8X+l7DJuz7NtCUa1gPEdg\neL+ioboiO0gCvns+NNWzn377Tyi+OshYoSZ/0eNTLfuqqvit3/otfu7nfo62bfnlX/5lvva1r/Hb\nv/3bAHzzm9/8L7vb//hD9nLJgAs/g/a25NmDM549POXpwzOePTyjqwu82s5ic8v923Pu355zdnvO\nMVfpZQv7LUnC7L61grHl5OnsS4jbwPnJCc9OT3l+/5RnD09ZHKy4z3POinPuV+cs7i/HCzAwDnA+\nZwhGFgyTTYtGLtwxaaJJ8OSTTYktXjbgPmnBvMPA6PEmN1HzxhkTuoYEmMNLOc/aKZ6d9VOWXb7Q\nneMvpo0nv+QCVen3ecJM7sLDXUxezyfL15WbMyZyqy6HUxxr1jOo9O4n2fn5NXN4xYOwCv45BVUZ\nnU71VGzHhawrbcVBvJyC6JDuneS0UfcmNI8KkkB80PfR350rFbfaNV9kJOVUU88t2ZA8ttf79gZJ\ngH7UN3n8gpSeMWxW4kZEs2dca/u/vD9/3oohLiY4RlCTmEzy9tWE04tqWjHMy7P+Z8kjBfQD48Qr\nGCAhn2uKq60hLKFYQmigLNiRTH4A9PyHOr4vz/4b3/gG3/jGN0a/e5mQ/8f/+B9/6rWu/obMgrsG\nR374WeEyUr7fUr7fUU5bumcFL+4d88HxI75z9C7fOXyHpq7wejpn6xd8gfdpY8m8XXI8vUoLRhbD\nFro3C9q3U+seFYQyUqw6ytuOYtlR3MSRZRGvAleHh3zv8A3eO3yb9w7f4V59wRebD4ghcFjdMG+W\nxINAPAzEQ4h1IDyOhMdQPI6EOg7YHgxCWIJewZncgty3S5Fb130Qe7QoPaFGvGN3cQvGNEvV1M7Z\nCbJUJERlFd0wFMbyzcO1kGTJuwXqsQanW+bwUsmQtHXEkC6fW3I5VOfuNdylUeaWn6aZC3y3jjvu\nKpI8IJt7FRLaDqtI0OrIvRSs3zI6CobMWWcD6VMF1iQIxeP2YKiMB42bc8/Vt7xcgmddC4bI4wFS\nUPrZ/+b9FQx0aNfP42v6nrxLjYmP89au60ZK7v1ozHQ4DCdh77EE7Psez3LjJpAMGrGZBHMeM0C7\nmrNqzZ7rdin+tfNQOhLxQ+tO/fm+UvmHOz6ny+4/3j97vV8343II+TGUQUv1L6uqZXGzZHG9YnG9\npGgitwcLns3O+KB6xJ+FL9NQ7QR9QeSaJ8zjhtPugk03Gbu1/eLczCtWh1OW9yasHkwpq47Z7ZrZ\nfMP8dk1RN4NmbhK+tprNeFHf4+PyDd7ji9zUzzg8XHLGOU1dE2OgWRQ0ByXNoqCtCqpVS3XVUc07\nqrpNwSNd17NKZRXCmKctYStLUxPSMeTcshLdT5PfqZqe/ORC3QOUOe/crToF1JxGqd2WnL2ihZAn\nfEnYe5/1d3kOEhDyMrwCpQRxzk7xxDPxqR1jL7PzJQhdUDm/3/vqSrGPoewEjeZVx1iJ+JHjxHlA\nFu4Gn5WoI4Wfj5mzmFQVUn3U2LnQFpvE4wJ6ZuHM7tXq070/zStZ81MGL9I9YadQHvXn3vTv5cP+\nng4faW9bfx/OipGC8PmqMfB5rRiSG0I+L10RzbNrK9AcGXsHmnOC6/z6bwJf6p/ZYR156kISihRE\n3rUNhEWKsXGWPoM8HIttfpbHKxX2jydvAowscBf6KnbQUpD2qEp7Vk0nG04nF5xNXlDVLdN6y6qa\ncVGe8KR4jQ94m4ZhV9u0o23kDT5hGRc0sboj6JnAdlJzO5lzOTnkanJAVTcctzfQXlN3DXXTpBe2\noOfUBjazCTeTA16UpzwJrxE6uNx+zGo1p70thmDMLELoUpC3iru2E5ya2E4tw/qYWzCT7BwtNl/8\nOZVP34MB880n8T6LFMaWjym83WIQ5COWk7vX++AWt8qct6xPt4Sxv8HYG+my/0uZaZwkmJVNmSvB\n/MgZPmImSaEp0ScPyirwnPfPFbYOXdctVf0+9x4cqlGAUnztnHnjDJgt4/5fMXiP+SFlv+ZuAFoW\nu4+tGyZ5PELPob95yQz3+CS8NUbOlVemuAL0aqIfK4AsxeOK1qGShoF66Zm6rmQ9+U1UYxfwroRl\nJMkjUEZ9wzi+AIOic4PDmWf9/YONQejXRKgYeP/w/WGPH/J4tcKetwDQ7rPDrrP9jj79zw0VGya7\nNmdFw4QqdBwUSyZFwzpMueKIZ9znMW/SUlLRUNNQsWXBkut4wCpOabtqEDqymCfQ1BW31YLL4pjn\n4R4TtoSioC4bFuVqWAiyrhtoZjXLes5lecQ5Z8y2G25vDlifT+ielIQuUmw6KjrCJNCVUHZQhLhj\nFb3UmoP9AVVnrWDfdQpojk1j36vsezm1r7JzckZFyTh2IctHrrkLWG+a8LLkHD7yrMhc+LtA1gIT\nB9utLXkennErgS6owC1kx98XWfP4giAqh8tET/TxyYOtOeSQxwIid7fCy/nh7u3ofXoOwj5vYZ9i\ndjhKuL83jat7GA7juPKWEs3LMjhmr/elcZOlrrXjsSuf695n+nMekOJNarekxLLv9Z8X2TV8nDWX\n5iQh/xbJ6lbOhsXedmPgc9PHUkpdwdSSAc5VSQTVzVJlz45xTG1PPkLo53nQ2DoFWrER9eFzOF6p\nsH/GfQKxt74bs8I7tBVhQcctC6445IojrjliHlZ0Rcm8WHNaXnBY3dKVBW0oabqKTTOlDSVd39pQ\nsmHKlpqWkk6zPxOkbShpQlIsS+Z0oWQTatpQEYtiLEz71pUFbVkacTb6AAAgAElEQVSxDRNWYcqm\nm7BtarpNSVyFpLHXkaJ3g4spPT++L+TwMmx43wLwQxPDec65NahD14TBwt+nCPZZ9rm1JAvtjAHm\ncTz+xq6beyMqrKVAm5qnmytWkFP1XDE4tp3T6jbszxDWwvHvwCDQpcRz7Fx4tvBZvRMpGQluH7Nc\nQeZZmQriuXfiMRjFPnK2kJcdcOqpUwx1vt55npjkkKHu8WlQnt63w1byFNQ0L9QKButbCl6GghsE\nuQeRs8Pm/bt5nxQAFTx4Y+Ph1nJj3zvofz5imBfaBcy9NxkXinGorr5TmeVhOrFBAfXZnr8/Zazw\nnTPvMQ5nWAmGdeaVvvM5Ha9U2F9zSCBS9dZ3ssKbnbAvRsL+mHNOOeceC5achRfcFguastpN/h2u\n3wW6rqAtBhxAqqQbSbj+6IVBDIE2lGxDzZpJr/Br2qIkFuGu8KogloG2SPdqqGhiRdsUdJsiRdgb\nKITJbSOxScI+RAZhryMPNH6aRncL3YVxDpf4dXWuexIxa/tgHFdAwmWFUSozUAtuX207r39ywNhd\nloWa4+C+SAQxuUWun/U3f04txFx4wFhJuOvuSo3sU033zRPAxKPPn7fPLYgHgWZW0c5LmllJNy0S\nIBnanYETLuKYJnvDWAhHxtjw3PqRc8o1Dnofai3jMdLz7Yvd6CgYs7EOGQt7BfrdshdbzDFq3Vce\nSmBgFR0zeBku/CTcVWzNvRUYYjvBru+FxnwXqK7vb+71+lh5gF0CWfBfntnqnuO+Ovr2TmIPB+2g\nGSkSV/77lJ0bYp/D8UqF/ZS1Wfb9pDdIR61my4KbPr62ZsGSU55zwA01WwiRMrRMii2zcsVBdcum\nrClD7yWEjjpu0x6yXUfo4g8mUPcdmcAPZUdZtFShYcI2VdNsW4ptt5sYobfq80SP4Pd2Qf/9rHoY\nW0iyFJ0RkjMM8nvBXXgoF3Ddnk/xif0cCdCStHDdAyrtHGUKi+omd1pCSIu7ZizEtiQhc0byDM5I\nisODr8usL7JcPSAZGJdaLhl7Jc7b9jhIbrV6nMOFpj5PGGiFr8P6ZMLz2Snn03s8n97jqj7kbPmC\n09tzzm5fcLZ8QVn0UtatcZ+fmZGx65e/Q8+EVfOCY2LneHPWkqxb97rW/djfkoSaMlsl4A9snJUA\n6MJ/wkA99HFSIuJDUkLhAXepweqP4BYpXI2FxkuxBHmPvklK7jXrOzkbSdChSAeqGqpAsRsI8o4d\n7hIc2yue2N8nbpOhRwmhV5bhpA/EuhDXXHOPyuHZz+F4pcL+gOt+niYBL0t+4N2kNmNFQceUDYfc\nMGfJPS5YcEsdt4QOqtgyDWsW4Yaj4pJNMdldS9eYxA1lbAhdN37h/WeIkSJ2lLHdeRmClXYsIQ/Y\n1FBUXdr/NmyYsWIa19TtlnLbEtZxBwMEp4zlVlgulPO27/eCbzThRLmT0HzZdfxwa7mw/8NdT0De\nDzCE09NzFJt+G8JNTAGnfUeR/SxrTB5J7uH4+GSB9B0skgd+XdA7719QjZ7Ln8mph0vGyk99zgPk\nMAgdD2CqDx4odyWh54qM54IrDglOWb+6p+O6LvC8v+wZS8WkJEw8LiKjIIfL8nH0kr7azcmVj57H\ng6wzu2cuVVxouzfl71kKPycv+PzS+IvhJc9RHsMBd5XZ/8/dm8Nak2T3nb+IzLzbe99aXdVkd5Fq\ncno4agikMaBG4GCcAQQIkCFDljwZ2iBAhjx5A0imbAGCDAkYQIJAU14bBIQhRhqpxyMwNEQJILub\n3dW1fMtb7pJLxBgn/jdPxr3V3SpVfYPpBAJ537s3t8iI/znnf5YQWPtx7zVsWQt6Fxp/3rflrWJ/\n/io0NHtLySsOopnq8VsL9OiO/Qq2dwr2z4qKuFxjlurvzETDhuNZ/99y5Fl+yy4daNMIKdPmgU0+\ncJsfeM4b+uK9FEjf8MgmH1nlgZjSJeWRIOZEm0dWGHCv6OnoaRjtPJ5GKC+kaZJZFOHILviFyUfT\n7n3Y2n8N4GtfCyV9FtirFIEiOgQSkzvHTwN7uA72OqbKKk63gfE2Mt1GxicBDtD+KNH+KNP8KNG8\nvnIhaVrPy95XsBSgiB5Sq60LhUl+jFEdelYPmJ4GEKdd9580RiUc6T0EDDQ8J+7j4r0zz+cDeCsk\nu99q4Ys9rDc97+fPeMkb/kw2KrFpJto40TQTMaYlBSCHnsDd89o+RFJ01ej2Psqnprhw5/bF5GoL\nTr+vy1rLCquTjjQnfFKVKEBpzTVFIQ5deznSvTXgAVlWmLcIGyxx8EnZP+fSb6L34qlAL4RhtiCU\nr/J5IOyd1Ik56CBz9rlk+V4S5xpUoYztoPcmAVH7nPw79GD/FXH37xTsX55nbT5jzLV4+zko03T/\nTT7xJN2zSQfaaSRM0E0j23TkSQH7gW5xrafZ1p5d5RNNnpbgWVqTJla5Z5sP3NLR5YFNPtGl0RYP\nl1bmQLINI+tw4iY88ow7bvM92+nAauyJfbqMU/Ze+RqMaqrFA17dBHB1DLS/BlxO9mvmrOf4ayev\naIUy2MM9NOsM60RYBxiwNWjfZoK4zFA1bxrrnhVC6J2uElSeHtK+3urfZC4jgWAOCZUlUJvOcrBJ\nm6qff2C5JsDofu+fzVsuer4iVEKX6eJAF4dLy0FA4rOq5QOplztsq+ZB2/s4vF+iHlN1ElmtDKww\n0FSpCq2/4JsUA299tMyhh7JgvBCqrUxFKR2Ys1J9SKuc5XoeL8g1/vWeFCPvw191f6IMJaw9eOs5\nfP0iWcneuvHav47ruVTgeqNmczcD/MU7lAD3FKX2dZSXt9a+gu2dgv17fPZz/W7W8e3zioHb/Mgm\nHcuC4ZluGtikA7f5nhe8Yage5Slvucl71qmnSdNVCqDJM9iPRFpGNulANw0G9rU2jjmXNxy55YFn\nvOFpvmOXCtgP6bIOjkx0f65rvoNrnLinCgRCuL8VlujLLPjtmhZXT3YP0jBrc+V+45SJY6bV/zTZ\n1LRSkB+4enbFRnuBJypBmqgiNurJ4K2Ouo907/XiEYqE8c6uWoCoGJbM/9qCemSuA+QBte4vv8ly\nUEE0H3ZYx67reqXM9rmeUc9lcbu6XxUCKX+DAFD3dU3Af97mwf4DrCDft7BSBj/E1nv4ITPQCdAP\nXJbVWLHk/RU94/tK2rSnZrwg89q3X/CF6lxe829ZChjdn/fL+Gtem4Pb6jsJGh9dJaHpQ1AluFfF\nESuLW7kCK5aUnVfUZK14pUMOW/jF0Oy/xqc/1++k6+tzmye2uWcz9XTjAAN0U89N2vMsv+VrfHKh\n2b/kFU/SnVkD43QZgZCgTSPbdCBgC47HlNiMPZtTb4udKIysDJxwhG43sOv3PB3f8rX8KS/yG27T\nPevpRBzTdaeZBztRGJ6f9sBUc7lH5kGtqAjxjD4CYnDn8Ty8b9dAoNY6xYkKYDwfXnOViviotdda\nqPhj/aTyFEw9MXYsi6O1LOPUlRDkJwtXru1BGmaHorhoLwhF+/gyE+L2Py8XwTvLa+ef54q9VaLr\neCrHC/WaU1ZT30WW2r+/J1iOKR/pIeCu6yXtMaHTMSdwjRgQfp1llUdRDqoVI+EpwNO49Ty6Mnl9\nfSgV99Mz7zGglPB+xqwIwBwQ4KNv5ISW1eDHeO3I1nV8eKQ++/vUWgx+DMhCSMzlO+qyIt4JDjMl\n6sMtH7D5q/HilbtrSsSXvL1bGufw5mf/6MoWDpn2kOiOE+0pkfrIeui5GR94mV6zZ8NUubCf5Tue\n5Tu2k1E/F2AyQtuPbPpMexzYHA+EkGkfE+1DIt5P9nJ8KNsJVrc9N/0DL6Y3POYtT/M9T6c7NsOB\npp+WktuDsddwpenB/JJr548mjUzJo/s97rcC45qy0G8+z8T3lIvnKD3oX4vekJNzcs9V0zg1wPj7\n8Jy5/11tzUhLf4JF46yZMzPrmHp/vL/GNe3Wa/qeplOT81bv7xoPXtcC8o5K1d6nOm993Rr8cX2t\n766NE7+Kk3hzCTsfolqH8qkdmGus69lOWBSK6Ab1izKk/RyQVlv7FfQ/9b2qW2p/ZC5IprFVJ5qJ\nt5dTU1ai+HpY+hMUQeMBXNaO7kfKhvq29qfJV6Lrqvifr1l1YPZbqP/9fKmduf5d+ZDQV8xUoYSd\nDwf1/rOvYHunYH/7x3Vt259ze4Dw40z8NBPeAA+ZzeHIs/4t/dQS8si0IFHhlj0v8ytusy02vgCt\noq0195n42Ui7CuQQIEDcZ8KjtQV3e4IwZNZPTjw93tGPLeSJm2nPi+E1N8c97eM4r7akEr8NS7rl\nyFwrxmsgAgQP9D6CoaKgLraa79cg9yBYWxLeHNbg3bME/1qr95qyp1DqWOGar/WOs4GZA1fUgq4p\n7WnEtM075iUk68iR+jp+0ktz8ua4Jppvvj+80K3B2Gv/TdXq+6D63gs03PdrLoWWtsilUPGht+qz\nz/PR1H1/jVpU/+i59DsJWj8m/AJBEkDSyEXN+SZN3vPROt83MIvBlzhWv3qB6/1SAvKPMe34Ryzj\n6r3QkeUjmk/3qmeshWZmrmnzfS6FssqJ+wq5fv0JhSb7ZLENc9jwi3KOH5TryZLzVogfS1+Rhv9O\nwb77gy/oeThwLm/MZxAeM7s3e967D6wfTjw/vCGNS7BfH3tuhz230yMrEdoy38syeyFnwgnifbZz\nB5YLFPhMvaIFbZ8cePnwhtVjz9PDHavDwJPHR24e93T340yz6HqKNVdNeKV8KwLhii/hzM9PzGGE\nnuKR07Ae5HWKtgdGzwNe08LrMDDPiXptSOap/522a8ADsybmKadaM6q1mZ9FQV377KNTBGa1A8z3\noSyVuj98v+D+viaca5rI+w4EOCt3T7Vzrg670/N47VkgUq/R6jlqRd1cE14SqP7+vODwGvhT9zv/\ne29R1lZKLSS94FX/yL+zY1YQpDV7waV3qBXgBBmiFPV+75lBu65b5CkWH5ILlxq45o2f915JkJVb\nC+7GXUd+Iv++JCxHTAEcmAuk6V3pmJblguNLKPvStncK9vxfX/C4noXzJ06J25d7du8d+drXXpFe\nx5mzLVvos5UpHjMxJOtAmU+fYpX3XmOLhfiFsWvawwFAaDM3Tw5s3xx57/Y16TYS3mTi20S8y8T7\nNPOdZXm08/qyvtSw+OYtNsFqGkMauWLF4TKqQrU7xDO2LGt/+wW6rzmE600AU9eVV0q5THhxp7W2\n7LX/2g9wzcqowbw2h3VPtcVSH+MF1TVq5Nq91IKidgbXXPlPEwb+nOpnJfuo7biMoqqFdVOdO7C8\n18ylpu/XN9WCN3Xpg5pPFmAK2FqWyWtPuUw8q52vGiu6b9El3vqp+8s7O+sYfYGxj6bRb9WfO2aL\n2FN1XsCFK88b3O+lcdeOX/ld9Hc178nMCWSfcSlQ3r/S55l5aUfNR19y4shSSOyYLY1fBLB//Pdf\n7LgANNnhQQfx40RcJ3uRXpvW5jXSE+QHSH8K6YfznhZyeTlZIYQOYEILzROIT8v+CcT7RPwRcJhs\ngr3CTL8fYTXv38D0BlKAKdg+DhAGiKPtwwihsRallb/mLPnzI6QjTEdIB9s3AWKY90Gldssz5gbS\nW5jeQnoD0x3ntXOb1q5TL4qQE7YO72j7nCG8gPgcW7JxXa7/BtJrmF6XOfAUmmfY0otru27al/1b\niCuIm7kFuHD05gFSSUTJoz1P1ILy3lfwec0LHW8d+KaJ3FTf15FJ5w5hadFcA2FPu3iKrfZHPDKv\n4SqQ9b+ptWvPt/sx7FttDSjk0y/bVzsOa5qupgikJGhd1DqKREpHDfY+xHDFz97kf1FTcpaooLfM\nzvAHZlC+JuSd0qCxq33obEzGte0zMA0w9bZPE7SdzY1mZXtgKVhkXXuroLZ4a2vCvz/dd+1PkHUs\nweOVGl1Tf38F2zsF+4f/+4sdFztY7aArZmC8wVYLmjCA/DFLOgEuBgUHmH4M40cw/hiGjwrYYSB3\nbdWvuIXul6D7ZVhFiLfMq9R/jPXePWd6ibeQ72Hcw3CAfg/jEZoGmuj22UA4FsAPHbPEL9r5+BqG\nN9C/huE1dCvoNrBa2z7cuGdLkAOMn0D/KQyfwPDK+kv9ttpVfRQMZKeDtfFgE6YZoA3QbA3wpx6G\nOxg+hv7HJgC7AKun0N2aEJyOME4w3sHwI2hvoXtalOJVETIuGiL3kHpIJ5hOBvoNkNelX3ZYhUC/\nFKGyFD0dUoA4eED2m39e7wjzNEQtICKXES61Rl/6b+EcrkNL6y1U+xqEa21OjlOvhVf3mq8JtyI8\ngi+r4ZuirdRq+k/RYl4QiUP3tW98NFJtPdW0TsIshl8qz6ZwTViCvYqSeWqy9mdU1l46wLSfx3Bs\noVlDu4ZmAymXuVjaOML6BlY3NifijesrNQG1T3jz1mw9PnRMHRzgz+mVDdzzSeDpOnB9/HwJ2zsF\n+2uh4D/P1mSIkwFRlgns+V8fMbE4kNkM7zCgVrgas0D1VKPfYoJwgOYNZPG93vm6ZdYGS+hZTjbA\nxhGGptCzGdry/xQN6NqjnTvvIShWvRSIyk8ht5CSacwT0CQD4xTKmNkW7f4F5uzq7B7zAOkepjwf\nk3v77jyonTaZBrNAxgxT0WICEAV6GqjeyXhwfXkAXhfL6VTuOVs796fXXFQ3aDRAb4AQsUXZBwjH\nAt5y8nnrpVgB2dEFIbg9XHLwnmuGJdDXjle9S1kK/njvEK7P78HeR0bVml4NzLWVUAOmCxMGA/c0\nlTFWAEXPHUo/Bub7D7JQdG3vMhNtEt11fIhiLdx0zxv32Z9LfVhuJpfz6Z2RbZyHbRnvoqEkHP11\nZNXVwrumisoYyb2N4zTZ+JsmGE4QH+wcabKxtoqw6kyZaSdo+tJ/NR3oqSgVMNP1Bc4eLK4JN2GO\ncGLNZSKkqwG0UDb7y0f/MrZ3CvbNky92XIyFhmhLJ2hwKERLNaf9Vr/EU6FhbqG5MbCcymT5PLdx\nbK0FAZwiRyUwxJX7l+wu3QQD9yYzV73MhaZQYs8T5roZZWKHEtMfD9A8Qntv1E1syoT2WtwNxvuv\nIdxDvLNnbG9mGieGoinrOPHFjZm6odBMIRcz2IU2hli0pWJZUAA6nux6DBAe7fhIMY1ltXhtzJng\nIc3vNXfFumnLvtbgrr3TVISXB0tYTtgaPD137M5z0Ty9IudZvdWCRWa5v/daq6sjiWrnsyin+hkE\nGMkJOwegF/4EJfnUDkrvT/EaqfpkYqYwvFCaWFYnFb3i/UdjdQzMwrncdyhWTy4gF9T/nrOurZ3M\n0tdT95nGU5nHwWnPeTQlJkQbW02xGkNT8CQUhaZ+Xm+1eOuifnf1cp7e5yA/gvd/STGSYBiLonWc\nWypho7vxEs6+jO2dgv17v/EFD8ymZcfJ9jSYM+kbwLeAX+XCQbvQtgogNY8GoFkDMUIuLzYLBPJ8\nTULxD7QFAJVa/suuie/8GIg2gFYbozG2fbFEBKZqH0L470v7DWwgKG3+ld1rt4b2GaynAogFJGMq\nnxW2NwIH+38XjEJZf2CWQSh+jrOg0QAuEyo00O6MXlptTRsLz037ihFCXzBnA93zIsumwocWLj4M\nRk3FjVE7uTNhFjYmOKLXZHX9sMRLAmdHsyoFniOnXI5DKNpi8FEgOAFxLQyv3moB4Ll0UUPXojp8\nq60Gmfx+OURFnihWvc6srksfwJID9yVxS4ujvZM8mFbqNeyzhqqx+nk0jt6D12J/mm9kxKzH95mr\nVkbm0EMt5OHBcCwKyx5bc3U/90fwC7/cMgO+f171ue9XX/PfAXNT/F7tulgTesdO+LEr1sRNUbR6\n5kKFdXKeF7g1faR9Zl4JS02+Q+8/qceJD3+OcMrw2MN+gscj9GUc/A/pFwDs17/zX3mAOklRNKUz\n8xgYvt7Sf9gx/FrH8O2W3IVyiL2Vpp/o9qO1x4F2NZ21V1qWpW81+ODznYFFog/POvqvtwy/2jL8\nWkdzn+i2A1030jHQbBKNN9Ezs2NLETm/hE2cFyzX53SRH/HG/m6elN/7RJ8Ts0XjFriIT2y/OMaD\nCyy4xxDKJNBADixLxt4ym93PTVheOKuigdCiv2peXA5JOf/KOwhek6tXS+qZAUtab7GQgEsOzmvl\nnkuuze3a2Ur1vad9RvfZOwfrrebq/Tk8VaLvBUIK0fQg7HnhWtjsiqYqsPZO7IHl9dVqR6L6zY/t\nyvK6yEVQpI7AvmWuS/+cOQrML8lXnnNhxfpYdWnytWOz7lOfga73od82rj9qn4vGgco9qzzGmmUG\nsa98qr3CXKW1KwvW/8bjhvq1Kdd5yVKwe5+LAkf25m8YjnDs4XGEvjzfV0TZv+PQy7/4c/6ufvl7\n4CMsTPIjyPeBx1/ecvcrT7j71i13374ldaEcYm99czzx9O0jT98+8OTukbY7zBqEVlCqs/wySw3N\nA/QD5EPg8HzN3Qe33H94y92v37C+73naPvAkPvI0PdA87ZdlV1fMDly1F8w1OVQ/W4XCBIyqE6+B\nK41B2oPC+26ZB56vIw7LUC9pX36Tr8HXJPETQ9mEXgPVoPZakJ+kgVnjU6s1ssiSFqirT8bSFx40\na1qk4aIo1QLYBV419+y585pH/zxOVs+lfc3zexpF+0eW47huAhP5f0QHefBWeKLO+wwD1xdln5jf\n7T3LfAwBucIpX2IgO1THqI98QlJdTkCVLZVpqxBBv7SjavwoEVHPqGd7htXgUVPVS1lX3iH6eUv7\n1T4VP17Urz4fwRdZU38L8SQUlAOhPpdG/rT083vls7ey/Hx8wLBJeQQ35d3AMuFK9au0dOMbjKrt\nIQ7QTLM2/1Xw9fCOwf7054oIPvPX17yqZQuBXF5guDdaIMZMHDKJwOF2x+vtcz5ev8/H3dcK2M8l\n1G6nB97vXhFWgXXXs1sdlnU1biC/gPQB5A8C+X0gQXwL4W0m3EHQWpp6CxGO2w1v10/5dP0en3Qv\nudkdGF98RhxgF46sT/0y/l28ukxqJZFocqsMgo831qD1mm5dJqCpvtP3Hgx9WJ+0Sw9anrKoi1DJ\nSRpYaqGaeCoLoHN6asQXZlNquQdHabY+xV9aj7bEDAiaPHVcugckabafx+3qcx1CVztsa22s7rNQ\n/a2t5n2901P96PvIh/bpGnVUjLdiYE7Qe4WNLXHnXujVtI3PGfH3WlNXeh69n8Yd49/RxIXjnCMz\nrXOHjXHve2jKvY8YVfn98p0HTK3U5R3FXphKWNegW/e7EpokRK9lHsvvoPMequaVCYWE1vNEVowv\nj+EFUyrP9Rr4DPIrGB9guJ/bNJnfcJOgE5XsXseXvb1TsN//mhHrIWdCFuhfAn6GAvbWwhtoh0S7\nT3RvE/kYOWw2vFm94KPm6/yAD5mI+EVRXvCWGGEXjzxr7uYX7pIu0m1gehmYvh6YPgyECZpdplll\nmphthSs3eXMOnNYr7runfBrf40fhGzzt7mlvJ3bjkTG+gQnyLeTbYEvUdRCSSXHuskXEiF7QxIHl\nBBdt4TVt55A689UyM6vnOgN/bZ7rOGcGX0weCaI6YaVx55T5q9pBXqsN1XU9neJBpwYQWIJbywz2\n/pk82H8O1XZuskoEiBNLp5mveKj+v5b8UlM/3gqRUPSctQ9VlACpfQV6Tt0jXNInNXC/5bIEsr+v\n2sLSOXUvWj7PF5MbmN+rNn32z6n3JAvKW4yySn0dqNrS0dq11+g+NU9Zid5SX6jP/PN3LIXDyDJo\n4wkzzenfW73+sXwCehb1vQS/lC/vy6mpS9xvFYn0KfAx5I8hfQqnIxyPcCj7FosQ2kTbN+WdtV+R\nav9Owf7H8Zdn7TsvFywB1bjPaPnxCVs8vI0TN/HILh64aQ40MdOHNQ/hllfhJR/xdRIRv9whIfAs\n3HMMG1ub1nOhBTTGruXYrjh1Hae2I4bEuhvYdAPrVU9cTxcOurHpODRb7uNTXvGCNEWe9285HVak\n+4aUAtMqMtIwriJpG2g2iXaVaFtb0jB4kPO8sI9mqM3+mseVmey1ca8p6xwa4N5M9+dsqmMEmANL\n8PAgreJkMsNPVZMw8Guh+ufTfUjL8tyoLwXgnZr31X34ftImrU5OUe8088JHQlQVDr2W7a0QURzX\nonr837VVJHrF507UTkDvc3DhlWdr61rsvgeheqH3a1SR3s0dFkAg/4z35cDSX6LIEj8WJRTumIHf\n95neg78fL2gF7DVtprEpOuUlM930krm+jha+OXFZK74GXS2aI6przVJg6rqKsPN5A8p2lvD3llYq\nfX7HpVJxxXJLveXHDCVfZnwLIUAM8GQFT3VfRVClCVLp781PITz+W7Z3CvYfhw9Kn0zEsFyWUAvf\nBTIjHT2rc+vCyMvwhhfxLV2c2LQnhqZjH7bch6e85iWJgJYVbBlZ03NkSx9XpNhcSvcGpqahb1bs\n45bHZkvDRGoOxBa6drJg3CoufWwaTnHFY9hxxxPaNHLstwyHjvQYIEG6CUxTYAyRqYvQQmwyqbHI\nlbNG67XdGhCvORYF2gJZr2n4MDG41M58lMG1VvokrQKpi7ZfBWLOxGRWTkyZEPPSkpAZ7DX1enJ5\ns3xiyZdeW/BB0StD+b00xppbr7cdM/9ca7w1FaNnhktgr5SCC4CvOXqVrlB2aMOydMXBnU/nVrao\nvhcVoK225LxW7AEUlvRXfW/qvzvmNP7aca7zeeXD93Otkdd9XwsQvTvPhXshr/dfv3sBtCJc6oXd\nT1xq5XWEk0oVy5/gwb4OGhCIayyqImeqziurSHSTBK0bF3mEdIJ8sn06WjLXsIexJFeuOmhXpsWv\nOywnIJSuzwb4X+X2TsH+E94nkmgZz01rvvp2YMsjNzxwyyM3dGFkjCuaJnPbHti0PVMTGZuOU1hx\nCNsz2LdYVEzPiiG0TKEhlYqWNcBNITKE1s7BhpaJLkxs4kCOYekAKp9TjIyhZaDjxJo+rRnGlunU\nkPeBMFlNnvaUCcNkWakp0+Syzu41uqOmW2qtwUdxeACqExuBznMAACAASURBVJ7gMkoFZi2+ph+q\n/shdYPig5fRBR/9BS/9BZ8s29iPrYWA1jDR32bKXP8aq+L2+8hyyFnYY+Mn81+TJLK2Rlrn4le5d\nIKEGl5z9tTDGvTt3zYOrb0RtCOi8k9dzsUpt/2mOVo0raZmKS38Pi4gSyOs9aBP/7p3Y/nyRJaht\nmB3fKqonh76nsGrLp6bLNMZ0r56y0+LvtbXgBczApWLi3m/Wu4hYlIynCn0wgMonqC7VzXwOPsXK\nj3iF4ZZ5JS0Buq8PJOGquSFrUO/ZW/ai9DQWvIUmhcHPx1O5p8zsOJavrLyj6dEia4Y7GD6D9DhP\nsy3QbDjH9zfFSgu5TOHW+Hq5MKMoqy95e7cOWtZE0plsSdjqUDXYC0gF+isGjmwY6ZiKHalFC6XJ\nT47GOVsKAUIoAFub4QFyCKRgR40lUD+V+8qL1ETOE+B8zlDWz82ZMNoC3Kp/3hwT4RhojpDWmMd9\nZPYB1OCoCeM1uJqDhqVGJA22zg9w8eeLuF7RE3UUQ0UFhCHT7ifyGxOQTUq040QcsiXGaGKJ5lHa\nuwcZrz16kPCg6y2cVP1O2qXub+ue20dV+FC/wFIjozqH+k4+h5F5KcFr93bLXAGyvrfaKSjhpIVm\nwMDIBwRo80LZ8+nXrJYNpulq2cB75qUCVV7ACzuv4fvNvxs/PrBj8hHynnP5kKBciY7ZxwSz4Boh\nH9xxJwOukGxPLkDvrTUJfjX1ieaWaBVfMFBIqdBNBQqMLJ26em9SfjSuRmbaCff/eq6JylFEkD9G\n59GYKlZcSvb8aW+fx0cY3hpdM9yZpr+6gXhjZUW6LaSDtb7UvFKy6Ll2lfr5K/LQvtvQSwTTIm0i\nyzr0mVD+n/2ILAMol4kVEjR5oss9m3xkxyMTzdlKaEh0YaAJIzEkox58PO95073Eck2RSuevL7St\nEDNNSLRMrMJAl0aaaSIOyVL9S0JJPOR50QPPXcp0rqmO2lSuAR9mLUn3JtDG/cZv16IZPkfwAYQp\ns/pspHs1sdXoLqAdUp4pGE1gaa819+yTba6FXkrjVuEumc6+SQOssxCl7So3QU41Hz/tw/98LHTH\n7KD0Tlvf3ztmzvi9cqx3RD5w+Z6k/WpFozqqRr4Ab1HVwrw+p/pZYX/Kx1hjgugFywqnSjqqBfi1\ncE7dXzRtMu1NE532BmCx1IyJN9BoJSrXcm8Ox+lgx+Y7A6tYCovF2gm+xQTW15hj9ZVI6JdmlI9H\n71D16lvmqpdeGOzdOPFVLq85raX4wHIuJuaQ1an63bWtjKf0qfHx4ycwforVeErGu6dkfRBeQPx6\naS9h/An0pZ1eQ9tZrav1Fla31n/ALwbYP+fNQiOPRb+f4X2G24aJNSdueWDFwEtelc+GHF0e2Za1\nYJ/zhonGHZ+44ZENRzoGokdCp5HFlGjyRMvAihMdEx0jTU4Gbh4sywBqwkQXBjbBhMw271mPPW0/\nEk9pDkXzwOOTQq5RNJ5H9MDjTWWBu8xsWA7k2oT3TjT/HFTHwnJwtxC6vAxtqyNcFC/8ujq/5+gF\nWE+4FGBwGWfv78H3eXDPodh1TeJroCvtb1vdz105t0Bhx0y9eHCWlvmmPGPg0gFd87+tO48Em/hi\nxcZf49Lv3HPdsxQO2hQhpDVx/djaV63QJxdg786raqPnSqdF0w9Ao0KDJeEt6N4Gd73CgYdT0UjL\nUoIhzm3xfiRYJWRfY4ULV1f6VFRKYBZsUgRkwXgB72k/uAR4zQNRn407r9/q9yv6zlt8FWU4PcB4\nD6d7i7IJGB/fdbAtQi8A4bUJ0fQDGB6sTQ/W76q0m53P7Kvc3inYv+A1wBnQvXMWZj17Rc+WAyMt\nEw0dI8+455YHujwQErQMbPKBJzzwIr9hLGAv2+GGB7b5wIqeyHRpdk8G9m0aWOeesVgGXe5p8mih\noTXYFrBfhZ4NB254YJf2rKcT7TAQTnl2vKlJs9cA+jywrwG/5mE1eetQxprX9xq012BqME3uPNoE\nlqrHsuXyOpq8B0xrf+Ry8/yoQNfz4jA7Z3UdXV97P9lEu9Ta8DUns0I0Ze5L692Xv58z1xN6zhKk\nxdnr2QSgvg9qThyW700csCJ9BFz++WCmDx6YaRn/7vUb1URX8pK/1zrqSdf2mu24PG8eDeynEabB\n+qm5cZr8tjpG41bjumGuYSRLSxSaF4DqMx2nks9XouIWAQY+01e/S8xhrIqgqZ3UUoY8hePfk8uV\nWTjKG2ZBpuNFK5bxkAt1mR9Ke4Rpwiq9TjA2pqXHrWnp640FYowHGN+Yo3Y6Fids0f7JzEXsvGLz\nFW7vFOxf8hnAWYv3QA+cP8+iwMRBmxO76chuPNINA6HPrIaB3XTgabrjJZ8xr0FrBNDTfM8Nj6xz\nT5Om5eAtk6Q5TayHHqZMzAMNmbW5dk1AcD7leRC3eWSTjiZkeMuTfM9u3LMaeuIxLUMP/d5rj94B\nVF/j8zR9D2jSDBVN4KMkrkVRaK+B7DVMv/noDWXp1hyn7q9h5pP9BG5YUgtvmZ163kwWP6ookfrZ\n/eaFnW+a1Hpev/C1isvdMfsrRBtV5R7OIaByrgokVefGgzzVs3ptTPfzthwrDbYOe43lvlw9pLNW\n7p9TFlS53zwYP45qLo2FJxe9KYC8RtMViiBM0AwQB2jLecNTCM+scculUPF+BGnKSlqShVQ7ymvq\naJz/nwsQh7rAmt6Nr0Hkx7HGhxIVvR/gadl7oPZhqxLkGje1UuR/v4d8X4D93iiusYehh/Fk+2Zj\nltB2A7dbiI3FyTeYEzaPRU/JcJrgNC6ZvC5YPH0TZn/HVSr2S9zeLdgf3iIw9tr8xRa8jg7NKdP1\nI10/0fYTDNCNPbvpkWf5LX1xzfrtlkdu0wPrdKSZphkcXThVc5xYH3uaw8Tq0BNypj0l2n4ijvkC\nLMOY6aaBbdrzJN/xMq+4SXtupgfW/YnmNC3D6RQd4AF/ZM7crB19usc6M7TnchJ74aXz1pNyqpp1\n+LLBEvSH6vtaY9PvPTDh/g9LTVA0QG2B6N4FmLVAEQh7DdDHsiuqwjeBS88cZgizhaEQO1FDfiUw\nbQILf/+1Nq/356/hBWHtmJavw7c69FICtBZEfq+IFz1jrr6vNWYvkEoLg/mUzlRQw1zjRiVEalrD\nU3BSPESHKEa/dvx7S0wRLQd3jtH8BcH3V1107poyIktJYb8Ce0Xp6P5gOXY1H3DP44WQa2lv0TXT\nA6SHopVjmvkE5MYEVbszrr27NbD3Y3zsrZ1iecUJNg2so2XLrqPRPk0REleVnC95e7dg/9n9xf+u\nWS65BqM7iPeZsLc1Y9MYWE09N+mRIRtSpAXqwDYfeZrv2E4H2mlcAmMZeM1jJt6NdG8n8qtyyTts\nsfFjvozh7aEbBm6mPUMytXeTTzwZH9gMJ9PsNYF9RIFC+XzGYk29aMDLMqgrAF7j6WsnYL158Lw2\nkGrAv8bpe2EkzdUnO9Xx4TqmPtZPPH8N7zjWXtqjj75RspQvaHVXtYE5WsXTAJ07nvI7hTDW2959\n94brAqEG2LrvBG6nWRMnVOZ66Y/s340HP58IV+gplevNI2cLZLFGgc9bUMhmncwla+otc92Wp8ya\nsRYW8a3W8mHpkK5AnMQMyOorRXLtITwyJ3TBsu6StuyeR8/kQ3X1vBK8crLqWDnna0FdK0O6/lvI\nJQx2OkDfw6mHfoApwWoF3QY2K3OqhjXniKUz8jifWu7MLzKeoG+gD9C1ENd2rp1KLss/IiXD3+OX\nvL1TsO/+5L9CdHkQ0mryHwOvIdzD5vHEs8Md3enE7XBPrsRGNwxs+xO704nuOMy8pnNohbfZFgBp\n8syvit/1y7DJ83/MrE8nnvZ3tP2Jm+Ge7jSyPZ7Y7Y+0D+McGeLTqhWZImet0ry9T2BippjEH3pT\n3DtBU/V3rs6lVvG150GkrvKA5WOivSntKaWJBfhccKbaX9O4PS0lMPfcaf18PvZeE1vlAjTJvQUl\nzrqOaPFp7gKGmi7yk+tUnfcaCFXhqhfgL5pqMNoki5/1mnoB/UBRbmCu6Kl+rJPNpJ3X78yftxa0\n/rMoPL2/bTnmGXP00TOW41795CmhOuJFtCQs36F8L6KRPmBZE/++apVitQhsGJmFhx83PrHQC5f6\nnXjKTe+4XHf07cF8GgR7L90GVg1Wcnw97xdWk57fzZPQQ/MIqyNsR3vcbWecfleinKKf19f8DF/y\n9m5DL//zFzxONeN/AnwC8SGzvTuwfjjw9ADpFC5qqsUThGOmOUCsEy/UpNmJG60jL3xEzcFM4M3x\nyOp45MkJUh8IJ4j7THyAKA3Tm+E98/qycvjVQKkXLXBT1Ik2z8v7OHQ/oPU7r8kPVZPGo6ZJX6f7\ney1a1zy5c9QcfT25xEOr1SCcrhz3eXSR39fCrd5qjljA7MG5FojXWi1QM8slAOutCMfgHY26tv9/\nnRRWnv8cX107aGst/ZZlEpJ8KuqbARtn925fCwQpFZk50ekZcxjtS+ydeQd3vXkqRfWLlCug9+up\nnwkLufxV4L8r7SmWlOebKnEK+DXOxbnXlKF3EmvvlRWfpeupn9flGh9ZGw5w6GF/shYj7Law28B2\nC2tFBXmaqRZ8J8yJK0XyCKsyHrsRdsEyaLstrJ5AeO7ehfDmmvLxJW4/F9h/97vf5e///b/PNE38\nzb/5N/kH/+AfLL7/V//qX/GP//E/JufMkydP+Kf/9J/yW7/1W5cn+r0veJc+madEVYQ/wZaye4Tm\no3z5JKN1eBBgP0L+CVaY6CeQP8YWUthBuMFqtksTqcHCOfLCxwU/7iD/MMNnEP64tB8zh4WpFsma\nhUWR9+YQO1sLcgKq/odiuo+YMNLA9RqAN5N9tui1OHMPmDWYwRIMG5ap5jssI/KAJdEcyumUdFO0\nZYXypRLpEQcskaw3DSd4bToZcKY0RydM2aIXYlP2kYvF0clYuJrOkcqcyOWx8lLZvghuyKapXSTY\nUfWL+kT0jADZa4fX/B7+PLW2X1sCgWV5BSVveatSVsWRGfzkEFVr3DVlHXpFxTukvWNaC4d4C05F\n337ARWnvRYEzFfvyIKvcD/UB5Tc6t+bRfTn/vhwrqkyKVr2pHLkoJiXS+Sxn/a2u10IrL22fA6Q3\nkH4E+bV9XvTxo42dVYamhZvGqJVuA+2maPF6Rt+PlSY/lfII4x6GR5s3Wg1rvYZtNH4+jhAfTHHM\nhbo5rzxWxl/M17vjv3X7mWA/TRN/7+/9PX7v936Pb37zm/z5P//n+St/5a/wne985/ybX//1X+f3\nf//3efbsGd/97nf523/7b/Mf/sN/uDjX4d9/sZsMWAdE7cvkC0csIeNPWEZFwAWw5ROkj2EqLZUF\nw6V1he7yuNBCvC3txvbh08I5/phzCnv+GPgE0ieQHyG/gtRAilgM7YDFLJd9eAbxaC2UGF2vkeXH\nEqLlmooonfdFq9LiIjmYMyk9QLq3c8SOc7JLLAIjOzoll3NnB55hhyXVbG2fj8VZVVoA4sZC9Jqt\n9dH4aIN83FstkDZapEfXQtvYPXtlJSUYxrmNI7agemf71apQG5nzerN+/dVzy65hEys2xoU25bq1\nJZCLRaJ9Hb4aKqA+r1BWBNxZsDrgzsWKyqWdAd+DQ2WVhIjFp6uonMCxWDlZUSEPkN9CvrNrZw+y\ncaZ+zpmreo4SnZNri2LDec3jUGiPrHWEBeoqe/A5+5DnORM0h9yzhq6M+9JyLHP1YwhvIfxp+X8/\nN/qiFR/L/wbOGbxhawpSaMs4Uh/3plxkt2fAonyeWR+nBNMbGL8P459A+nEZJ3FWLJpoY3VTPofW\n+i23Ng4nvTtRveUe8jjv+wOcDnDcW9x9HmHTwqaz/brcu2rnTKGMWzemNUk26f8jsP/e977Ht7/9\nbb71rW8B8Nf+2l/j3/ybf7MA+9/5nd85f/4Lf+Ev8MMf/vDquf7oJ1/sJrtoEnfX2H7bYVpwj2kG\nH3G9d5yJm0c4voXDWzjcweEAKZRWBmT2x2Cxszcj7DLcRNh1zBp3mVxpD+nOAHa6t/oYZ+U6l9Ic\nGZo079cBNgE2I2wOxRvvNP90hMcJ9uO8X5Vj1qFYpSvTPJqthYGlCPv93A4H2K3snm8667NYAFOg\nOUxwSnAs+wHYprntsqV27/dw2MP+YBNotzJNZVfAue/hEGGf4TBa1ME2mOkay3vJGVuEPMOYoJ8s\nJK2foE+wmez5QiiDMlss85Rs77MTtaD5+TWXz01ctiCnqBseeajwv6JnQtHGQpyVitiasAydfYbl\nMWmEcbA29XbP3mISTeMNgbi29xZLC6EIi37e+1C/sTfgyQ3n5TS9XDrT02HZcmnioPUsagRnlSkG\nf5rHybnvkz2XFI+uRJW0sQj0chNKrEp652UfGptPTWkhlj7rXd+N5Z2P1poH6O6g+xGsSux6dqCe\nhhLWqJYg/Ajia2j+syksCdO0+6KIpAS3G7jZwe0OtjvmpT4nE5JpLPe1N0UkTe7ZiqCf0rIN7j76\n4h/bjLCbLCJnE4oREGa27jx283IcfyPNVUi+zO1ngv2f/umf8iu/8ivnvz/88EP+43/8j5/7+3/+\nz/85f/kv/+Wr3729loDzc2xdNE05y3s92AuKo3HzUTXV681RGHmyUKr+AMcT7IfLyMSaKuuKptUE\nWIuP9BqaeFJxoKvyrwGOAzz0BtSe3m6AXaFGmqbUsVbYVkmLz1sbaMe9nePuUFbqK0A/BFgnWLVm\nfoaiqY6xUIeTHZdS0ZBKvzWakEXrzI0ByXGCh9EmS1qbUOiiaTfTaNc7ZDtvyBAnaFPphiIwhwx9\nthCzULT6aW2aaM7zxJ6KJj8kO2YUeFNArKBWTuXao/XnNM2/U4mhM5PiAD2EmTJX9Mt5D2caaMHJ\nV+8+lWNyMMAXjdb4cEvP5xeQH3oYTnav3hJb3GP522u9Odr/JMxyLmF+CUZ9zsWl0c9/C+zPLpQw\nW1ShNVpC9yrtMQUD3nPWJgXUC9COErDZ0WxVl2nZTQnELKHmLZ5UBEYR1jHOVkBsi3BwFEYe7Hoa\nR0OGpof1ofRPM7/7Kc/7U2nHZHt6CPfzbcDSdUC0Pl2MoYqWy7kIvROMRxu75/dW9kMurrByv3Us\nhMZgYu7DIRe/c3k+DQPfbV/l9jPBPlyQp5+//dt/+2/5F//iX/Dv/t2/u/r9/+4+/4+l/TxbUwDh\nVDjJsSn+krZY2N7Jdb5xlj0pD3lr2ojPc1G7APsJc/BOEB4hF448uHracQthUyZbNkE03EP/AN2D\nOWc0jjIuCMdpXD6xJBQtL3wCzSfQfgrdwUB2KpbClGFsId1CeB/arxWq5hObfG1v12YyjWM/wBhM\nO+p21lbFR9E+Qnwspnlvz3ReWu0FhIcC8APEPXPBKzmAQxG+kwnghqK57SA8gXBrk354sNTyvmiq\n53ebi/uhKXHHGzPb02jANElQpAW+mp+4AHtTgLVtTUC3bcloFL/ODLYKdTzvy6TXXpTRwsoTMMqh\nmZctx9kknwp10MrCKH4I5luZh2j5xxng0wyOKRtAdhHWhZIakrW+NHIFEkVzV9TIam1AmsZCF4xl\nbMlqcdas6IppmrVx+UO8q4LS3600+9JCM2v1sTHhEYuGrmfVNbWGboP93RZF7li061ysipg501Op\n0HBSEgYJwjIfYMmWaZ5JIMon3mTYyHm6h6Et1F+caUCclh/D/P78lphjKpRkXZg5c+8Fi6VfxxLN\nUwTgVCi2NC2HVVuOA/j9732P//N3f/fyov+N288E+29+85v84Ac/OP/9gx/8gA8//PDid3/wB3/A\n3/pbf4vvfve7vHjx4uq5/rdfm+fP2az+Of6Ok0n5dij7DM0LaN+H+IEB3lXO3r31eILVKwgrm0C7\nCVILqTMNNnU24EM5NmcbGGdcl3b4jLnedkm3D8XRE/YGzLsnBlqbpwXYBgNE7bsPYP0hrL4J8UOW\nRbyOdp7Njf12FeBJd+UcXamPLU5+DesbE2jrCZ5E00SbqfTfVEAwziAZgG1rNMI6mMa93sJ6ZYPU\nylLAroVmDduyYtZ6Y/W422iTYVWierqN9Wu3sv+tipDIxRIQjdCtlhpvDHb+VjVFGpvoTcs5yzOy\npIJytuNimMFez3VutfTWuJKgLbNL5nMuwC2N+8zb19x0tcW2KBzlflO254nrQtMo/d9bBLVZOUHj\ngTmbwIw3EHf2uZtmy2gqGnEo7zdMpQ920G5tH8pKXE3x1eQCNBQQDeV+mjKu4gCtNO1pbrVvS1Zi\nbGagDHmeO6H0SSiUUVOiYs6UVVFoeAvNW4hvIN/Zoh0tZkWP2NzSGq2xd8KqXEMlgtsw0x5axF7W\n7Jm2UpG26HCk7GMov1fcfLD5ElJRNGXSuGgxlZ0YR5uPzcqqXK531rqVHduW/m+SPUc3wGYwizWW\nedWsbB8Khv2v/8v/xF/863/9PL7+4T/8h5eD7gtsPxPsf/u3f5s/+qM/4o//+I/5xje+we/+7u/y\nr//1v1785vvf/z5/9a/+Vf7lv/yXfPvb3/7cc/3qn/uCd9kD9zYgzpEJvwR8C/j1su+qYwaWAPpg\nYLhW+NXEvOSfQtkUmuZfrs9mnYBvAN8s7UPmHICPbN9E2N0Wfl/iuo5u+BD4LeA3S2swJ/P3bR/f\nGghvn2Ia/0vM8VqcpOmRszkcowmlECx1e/us9MUty8QeLa/XOC0+Gq++k0SD5XJvB9OAVtF4zrME\n9uGaTREOUm30zMVMlxa9Gk27yZ3RR+LFz8WzWtfirPHF1oRAiiwc1opd962JRYgVtWtBLzjtwfOk\nwIJiUZTT2Rnrn0cS0p8vzDz0StFRkWU53x0XYLGIJVdsuQ+TBQuH/Jrbj9Vx/liplz4082YJwOfQ\nSJedHQYTMo2PQqvj3VViWOddl+dXn8AyY3jECqQ9g0blmX2maylrEMp4D98Hvm9W0NpxnvKHTXeQ\n3ppW3OTZIo4S7mFu7dqEXbc1n1bUHFdbMdci0l5Jd8X5HVoTIAuT37+bQsOmA4wH4+i7Hdy8D7tf\ngpuvF8vZL9V4tJj7RaTUjjmh7RnzHPQlsb/E7WeCfdu2/JN/8k/4S3/pLzFNE3/jb/wNvvOd7/DP\n/tk/A+Dv/J2/wz/6R/+I169f83f/7t8FoOs6vve9712e7H/+gne5Bz6BUKJe8iNM34pMfzaSvhOY\n/my0qAO3xUOmeZ1pXiea14n4mSPWNNGVSKIJFViGLl6pKjh9LZD+TGD6jUD6jUh4k2meZeIm06RM\nuM/LeOg1l3HnKpL1Cvhj7C2oguS23E+lCYa3lMXQIb8pWoisi2fMYXmacC5cNShs1dvk3rPnB3Yd\nQ6+YewFVxzL8b3PlfamKYwkjDSWGOCjELHCmwoImmd5J2Yeec7RSLIXQFhE4aYG3ti9AKjM5MGt6\nFKdgKhEzaXCaYpgtDMV055G5Xo0u4jhdUT2paOlnWqhEbMSjva9YMi0Vcqp9KItih1sIH5Tn9kl/\nyrRWxJmWNtTzKIHINzmGR+as1lj9RlaFQN3nbBQL7aJI2QssIUpNK0TVmdS+KSQ4MS/K/dr1pbKd\nlXAYTSk5R9f0hTMXb34yq6eJZinI16Xa+7I6VJ75HE7tE6DE86hukhSUQhGdy1H4YIDi66izwKXR\ndwPsklkJqz20r8t4VEG5mswP7t2F8l6P2OIoGsg+u/hL3ELOdTrSV3ShEMjfvfLFtavX5Kbic38A\n/BDy68DptzpOv9ly+s2O/jc749MBZdK29xPrnwysPxpY/2Sk+3i0FZY+Le0T4JeZtfRvlmtp5SCl\nlCtBpSRF9b/ZltbQ/2ZL8yqx+k8jq/80sfpPI819mtfSfIENrJ9wTuDgI0ySeyHTcVlEqg6zUN1v\ntZa5cuNzDHh9f2aWafFaO9Of12vUmgwCNa/F4j6L0/fx+A1LzfxV6WPdq1LZ/YDfVefwmm9y/SEt\naLxyL75/IraYxgFbUGNv5zmH7xV6KJUwvVQAJYirLW2RhyBAqKRKckCfiuA5x/9P9htRS2oL30DG\nCo+9hPie7UODxXxLMB+X9BJgoba7uQFLgBW4+37R4imqYaNEKbWxOiawrMk0YOP0lzGr9peZc0d8\n/fk661WbfCUj57DDXMIrQwHDUFou2rJyOsaRc2XJoQiy9cZ8T2oXyWqyQGRF+BwVEe3eytY6AO6Z\n02DCZernoAJ/igQLCzFnsyZWT+bW+OUQzwdVWxG4Cj09J1X9H39I+I052jGEwJcB0z9Ts/9St18v\new9IPw3sNanfMA/SN5D3gWO35r654T7ecM8tfiVbgA09T3jgKQ9EHukYl5NAA+MF8HUsuy8xF3US\n4Ch7dA15DJzaFQ/Njoe44yHsWLUDt9s9t0/3NO/tabZpBvH3yjUyczlbmfmiUnxNboGpBq7XsEbO\nyWFnb5N+5+kDPZ/6UFSUMhw9MDfVdTzoe22xBmq9i0Kv1Q7LBRBI29RA1qAfmBPKBFIC8IaZTtqy\n1Ij881YVD8Nr4CcQfmJ7X8TsHI/uOH5575QwFRrXzwKxgSUYSiho3zAXJhNtJuAt/bbImSjCId5D\nHK3/mo/sfOewy2J1LBy2iXNuQ7M1cAleOGke1dq+qoC+hyUbnZiTmRrOCUkLBat159P7flOe5w1z\nroE2jW8vnKuCgNMJToOF6fa9AXmTi/8N+3yOe2+g3RU/T3HW5tGuG4uAjC8xZaemsjzwi4rznn3N\nNW16PjfG88Fo0/HBwL4fL2vDbYKFH2+i7bt18TsVn8S5ppCngqvtnJehkNtyX81XpH6/U7B/+KCQ\nURmCXP36zLzPIVjD9qGF5rOJ5ibRrCdoAn2z5iHe8iq84BXPmWgWYL/jQKKlJbGTXVRpg2kdSLeR\n9CKQ3g+EEeKYicdEfMiEVb5Ikx7ajkOz4y485Q3P2MQjoYt024nd7QlWA+llIL8P+QPgSSAcsyWT\nbLMl6YguEFVQe6W9qa4mzUwg2LjvdI81UGvSyaTOJE3lqQAAIABJREFULBN9roG77iG5vQRRrPaO\nB1/w0aM7/hrfrf97qsBp6GffyXDl3J4zr/nrXEz6W2ZKTKZ0OVco/aj94nyh9Jmv1+LDesXtl/vU\n/pyWfzvf5xm0SwsZcxhLs4+z32JRFkB+g1DojLFomKdCOxVHai5WiU8yU2SQH+Oh0GfhVOi0kWU2\n+sBSOEgwi99XGn8pFrYoRta6ey3LFFL2aW8tl/3QW5nf0wTH0YTeKs4RK2006kXJfFH+hvL+8mDX\nDbJmn5b+li9K/VeP75alWi5LzdNZEszCo8botxY7VzpZKHU/WGTb42A+pAYLoFDETpQjW/NNmxc0\nvnma5/O0/y9xe6dg/8mT54BAPdv6rWiFqnmxwkTDdF4btqU5JbbbE9v1iU13om0SfejYhx1vwzM+\n5WuMBewpZ3nKA2tGbtgz+lAdB1ZT19BvGvpdy/C0JY6Z7mFktRnpViNtm5eDpoWpaTnFtV2bJ4yx\nZdP23HR70jqSW0jPAtPLwPT1QHoGzdtM83E2z7uEnOdNq/s6b94KqTWWa1q5twRqYSBtzZ9Hk7se\n/HK2iU7y59Y5/XJ/fiJllqsJaWD77yMGxN7c9u8Hln4TpexXvP5Fv7TV3ztmQaBnfMJMfak+iZ98\nsgYEdD1LUBCd5JuvJVRq1gRFT4n/9+9Vwj4z1zEvPohzqOFo2n+6h/DAPE4cl5DTTEtNill3dBFA\n/GSO9mhWmLLhhaqsJ9E98hPIEn0o160os4WAwOiXtOe8zuqoHInRwn8VKjlge0JxwJeospsW80GV\nFl6UfnIRaBbk7+6xZ0n/XVNg9I68D6xnLoQmi8UpFDGWjO4t5JVFlU13cLqDcG99PVEsr/l1WG6G\n+lSWtuarrOvD/Dl4AaM+/gq3dwv28WvMy5JoyXEtUeIXHF9xYs2RDSfWtHHiWbznebyjiYk2nEix\nYQi2MPmeLWNRMSQyOkZOecWYW9I5PbZsBVinGBlix6lZcYwrmpjIsbdY9SZhmVssJnYKgSk0jKFj\nYMXAyERLKqPeFjEPjG3D2EamLtC2FnsVYiKG6TyhzwN1cvclIGgxYFEST57ve5lJw3KQewC/1urI\nlxqEfEkAbXXfef5T3/umQRzcPXkLwb2D833VWpbn6r0jzV9HdEn/Of1S31vAwGvAfBg/gQttq+eS\nxvFamIDb37usKPX9jjlyZVfMes+t11SRVuLy3TyVKCuMdmqDab2NtN6dPVM4YTWIToUKKPeqshgB\no4vihJUsqBzwuTGBkmJpAUKhREIRlLGFsIZYhEXOVgdmGObs1zMdIUsmGGi2JdRWyXdqtBaiuCot\nahEUgaP6We9eSoU2P2/0m8AS5GFZ5E+BAD8sY0mrkfm51ZZh0Fv2+JCNxpl66E7wPMFt5/SlbMKM\nk4Vd0xaKUNfyVgXl/kQVy1ehMfGLpNm/4iWBTMtIy0jDRMt4Bn+B/ZENj9zywA2P3NKFkYmONiR2\n4cgmnmbQpS2guwT7IXcGwrkh57DkNcuLTTEyhpY+dBxZ04ZEEzJdmMhKxay1bQI5SzQ1pNyQciSn\nQE4BpkDKkZSjPWFoCGEsgRB5qZ16D78fyH5CTtX3nwf4NQ3zef6Q2jG7fLQlbaVJ5511Oq/AaXT/\nUx/XIH3RhywFXR1SqOP13Ap/rDf/jDXtICCoKSs5JfVctefNU32eHvAtur36QHRc0cDze4H8jUD+\nEPh6IDxkeMyWpPaY50AALUcowCnXV4x344Wm/BPPOBdPWyxEIm3XR8l4R7PTgmVtpFTKMQzzPkbO\nRbxCLH6C1qiKdmUa7fEA+wfY38Fpv5R9Edisrfb7em0hwU0dwrpiDjtUoTMfmqilL2qKqR5r9YVr\npWfFMi9GCs4jFiwhGshZw2NvpUEeHqwNJyvVsm3gaWPPM00G8lMyBzI9hEcTqulkglHPuliXV/N1\ny6xYOEvPXipfyfZOwX6kPVM4FFieFx0Rbw8TLT0dJzbs2dHlkSMbhtyRUiwTYWKVezYcueGRkfbM\n12cCO/as85E2D8SULiesTOEMORcxkzMphwLcLE3EMsBCMqopZiOZmjwSx4kwJOPmx0x7mAiHRHMc\nScdAc8o0Q6YZ07w4hdcWYTmIvYk9shwIfkB7CsYPfu9InVhOisrZuABLAbX3I+ilaC8qx/sPfPyx\n59mvxYWLjqjpI/2tmO5amxb1o6ayur75NQi0Zqk0O2/CezDUc6ntmKOcnpVjH6rmrQV/fBE4Y27Z\n7zbs399w+LUtp2+t2L0+sH19ZPf6yPb1gUjhNHwJYc/3ChhSud9U7u2XsDyNb5Y+8f4FrZngo2TG\nZVtEmpyMbulTqemSTJPdrmGzK+V9d44NyZwXRhdHn6fCrgRHlwdLMFq9gFaUjCgil0txngcDFh1X\nV9cUKOpYOdC9FVhTeH6pQlGE8s14ZULKgA9HLcIyl+dLQ3GqR3svscTur7ZmRa0UxttzDgee9hZ7\nH6IJuLYklZ2FnRdMou/K+c+a/S8C2Etzb0qLizbz9vNvJjoGWibaPBFzKguBZ9psYL/LB255ODto\nwcD+lkc2+cgqDTRTujTX1dGZhe8gLIKouaAoAokm232t6OnSQDuOxD7BMROGTHPIxD20e8hrM59D\nX3hHDTJ/L7AULNKwNfmvafZeRnouWb+RlllbDR7Y6k3asXcceStCA7a+l5ry8YLSn6s2vev78laK\nBJYXgOoPxffXQk80TFMdK4EqZ6gX4HX0yg2z9vySOU7787R8x7vqefMpMPYN/bDiMK45TBtCTDSr\nifWuNx7jlOfYefWHNs+P160W1q7lugXO5RFCY2N9GkrJhd7qRPUDjKGwS6FQOUWgx41FxcQSNkkJ\nnUwlbLIZSi5jawlzXbDs9FWAphzb3EC4Le/Mgz2YQJJV5IHeR9b4+SewV/MObe+j8hFtYA/34K6n\nMseTHZuGGdinyfwMKvewwoB6vTa6qbuB9oal0nAya2Ao1tEwmAM6tpwT7mKhd0JlNZ3fjadUfxHA\n/hlvCWTM9WrN6JtceHsBvYHpLQ/G2TPxPN/xLN2xTr2l8aeRTT5xwyPP6JgqO3+XD9ykR1bTiWac\nrnq+Y040eaSjZ02gIdEy0OSJeK7OVU5YgK0JiVUY2HDihj3bdGQ99nSnkXjIxnWW+N3wgA24Urr1\n7GQKLAEDlvcH86D1zlJ/Px7IFB5Yg640GQ/cC48Sl1QILM1a/c87b+Xg8o5fqv01zdeD+S2z9vyM\npUb3wBIAjiwFz+ftRR2tOZeyON+3rBWBgrTF2rGrPtT6ArIGfCx2rQhUn9vXI0/+yyO7+yMv/+QN\n6f1Is5todxPNzUTYpdm5LUGie1X0j39/sjjugT+C/F+YtX4fMigOvZ/3TYl0aYJ9HkYLgTwOVvhu\nCvb9LhpQtxErrfEI7Qmr6JrMYZwmzqUcWuA2wm3Jpj2XTWjsc2gh7IuS8xmXfqRrgQfXxrdqz2vz\nAs6HD3urVuHMomi8YB6w3I9X5XeNCbzjYAUSD8Ui7IJFCd125ndo17OWfh5vGvt5tnxCMipnKlFH\n/WQ00BhMCK5DcSEEsxKaXTnvjrmiqosn+TK3dwr2X8ufnjXomItjNs9ALw07hebMd0+hIabMLh3Z\njSe6oSf0mXYc2EwHblNDWtBBtm3yiZv0yCadbMFxD5pK6R4mVuMAYyaOI3HMrKaRLk0EBb36CZ2g\nzSPrfOSGlgSsc892PNCdeuI+nVesCVp1p2VeaMFnLFb00AJMRacoU7F3v4clBeIjerx2mN01PTet\n6wjIr1gvi6124PqBrlZFM1xkU+q59XcsfeIthZqSqakfT3dpq/0Luh9f8sEv6DIxm/ZqnuNtyrVE\n1yj00lNvEzPAqC8q0A0p03020j2M5gxcQ76dW7qBfA/5M8glWS4dOC/qIuNS8eex7KfB6Jept8+4\n+IFYxoOSkNQ6Fe9bcS7K1pX7jq11p9YRaDv7zMgiZFNugxixaJPGtP5Y6v+EjjnoQE3v+2h9mSaW\nJaoDto6rKywYi6UdExam6gVDqJq2yV1Hf9e0Z+WAT6XkiNZ+OLky0qk3YdWsLYFrs7EyGGftW3PT\nX6cIuaZYEjFY36UyLqZCkcVoFFcKxfKqlcmvCOS1vVOw/yB9jOLrQ85zA8j5TKnkEEgxkGMkhWCa\n/Jhoh0R7zHDMdKeB3XAwSof+TOFo6xjZ5SPr6Thr9h6ATtD2E7FPtKeeTR8IU7bIhQTNOYYNx7Fn\n2mlgmyy9saWnSyPb4cT61BMPaV5WUIDRMXPIAi3vkKk1ZznVvKa7ZtZaZbbCPKk0+OoJd2BeTtDz\n+Fd4wzPw1xOqdgRLK1a4XscygcZnvgpkPUfeu3vza8r6CalnTdW+3hKzIBuZy1PI4QfLbMkRS/d/\n3zXv0AaL0lGWtQRVZgkwdR/ofbnEKq17cKY/1NXFYFS9eNWRVzljVXJMWJ0Y3xSjfhytQiS5KMWF\nQok6f56vk0toZSyUSptnrjkXwRtKNnMQPeZLbKiUgRfwW2xxEDmKdyz9BH5ltvI+p5NZFf1Uolsm\nziuSySHcrcwB3JbaRLovH9K6KM0gBUAO/T1zKQTdZ1WELrcwNoVuuYPh42KtYH3TZgP67gZWz6B7\napTUgrZRMqAbN7GxZ2mLsjGOWJG1AWIPbTLNfhXtXXaxCF+KRSCh5cfil7y9U7Df/dhU0FkLENBT\n/q8PlMSqZLzjKzMF410mHjMMgXU/EI+Z1b7n9rG1geu25jHRHia640h7mq4Wjwp7iG8z4RXkj4uw\nucMiHGoufTCTdHUaCccjq/3AzeOB+JhoHyfa/UTzmOb43Tts4IXyuV6GUKFZAlYBl5xqdVy9W0Xo\nIuZa2qYXHskd4yeG1+5rWucaPeHNZk34Ot5f5/eavPpZgkbPKu2lzgvYsaRUJMS8w7hea7TmeHvT\nlPMbFrTBeRGTlllb/7GdQ4411UNR9mQuml8+zL85F2ArHKzKMEjzliaeRzPdh2PZ95cgrCSrpuzP\nC31gn9XfoZ016FXRtrsRtqVPz1mn5Rn9ykc5Q/sMmtLCM85F8IL6DS4d3+KPNSazccsXfhD1e+Cy\njlQLPMcq0q6gKclq4Q7ae6ychac/Sh+PJ6NV8t4ETryzZ28U+rniXMUyCNi9o1f03M6uf1a2JHzu\nYXgLx0c4nExotitzuq62VoKhLZFHTcDWylCNJNGPES4sz/IsUoyCt5xjebd6zwkrcT7YnlQEb5kb\nQRb8l7y9U7Bff7+iRnB7v0kCqJbpa2xN1zc2CTll2sNI9zjOiRFddQ7Vg5FWXec7F249vMEiAZ5g\nL1HH+IQNx1W3h4n2YbLfKe1c1xKg37HU+t5U9yLT0muMci5KO/bJIdKevfbkTWX9ttbs62eGZcZk\nuHJMTcmc3weXpvQ101rWQ+WcPWd4CoDLswU93w1k1cq5weqFFOsoKwLmKbaM39PSvyV0MdzZc2WZ\n56qNE7FCY6WufliXd+Fq0GiBjfO+OOm0MpMSZ5yrZyH7ItC1nEtOh86eUdmWh6FkjDLP/URxZMZS\nCrpo5QJ9WVjtuoQ97so+wcrfjH8nYjH9u0vMYYdqNWUmIarxKk1YwlZ0GG58aJxKIPhxqfaCeSHz\nl0XD/Qw61Uu6n8eacgJOfcm0PZpfgVz8CMWv0KyheT63uMX8YLlQTl6pUTy7FJq9XTe/gukVnB5s\nkfGHbAuLt88tcmj3ooBibRGK9lMOhb6TVaeB4YMWXPBAqJQmpf6kcs/5yLn6ajMtDckva3unYM//\nU/3908wV97T5DvL3If0J5B9B/gzCcyy5ZG2azQXY75mrTJYJftFeYxpeZAZND476nQayUsY/xiZH\nYK5c+afl/34SjNig/rhc65GlpgvzYJQZesfML3sfgxxVGmSBi1LDF5EiNQ+u63mnpndSNpjm7Gkb\n79zyFsA1K0B/e037VGiKyUzbSSbzCprVvJ+Ca5HzEnnKDgW7z3NRsxaaEjGhEr3jYJEQvSIiMCst\nvrFjiMyLeajVwq401dLxhpA3iHxgzCpbLfaYzFyPAbpsSzO2TRkqjrIIEVvX+Ck0TyE+K3L30QRb\nLkqBQvai3q0qm2ovoPGJWd468v4IKR0CalEtDQbIOudTNxYDF/6SnG08Bm+JyuJ6zmx5aex+hiWv\nKbzwJRY+Kv9Izzl5K7yGqPbGzq/VtcYEUy6W2wOknwBaN6GBruyDHLSvsMKJmXlt5xKiGg/QHmBV\nVoBbZXtfjbdmlVksx7/wxZePEMUna7XMk5xsLKwn+2rTwdQYHeTb1FuY5qmUSk6ln1+mrwaY3ynY\nP3z+aoY/dQsHbKHvTwul8wj8BFJj3+VPuHRu9LP2poWbxweYylqx00OZdD1WPvjHnMEtF2ALPTR7\n146QPy0D/s4ET7qD6aO5ZYVYPti9cmO/DU77j6lM/NGunydIpXRxemvOurOwKXRQPNog1V7hmVpQ\nOjecC2eptRO0Y4mucNqqlrpLkXlRCl8mtvwdujLZxC2XfjkvxlCav+6UWExggUVKjmLAKI6zudtw\nXrRDRa8yLKyG81J9xQxOnsIobcycV3Maym90Gm21nPKGSa2xNxhw51gAt1zPT2r1Z1/+N2HmvwRG\nh2mn58qaAvyuWBqlzPH5Jp1gnbDz98UpG6O9m2ZT7oNCPU1FQyyZq+c1b6XEFOUhl/EWetvH3oRm\nbm0sZIxOmF6Xcf0Ak8IVYV7UPNo5ZJWFFVaITkC5gXjClge8t31YcV79TOPWLy+YEgxNaXGmr5vy\nm4idP4/FcgvWxhWcyphtOgt3bt6as7ldFWdp0Z5DUZxyX85TxuI02Xg8lkSu2LBcwKW8k8U48t97\n61WWsQRjnsdyigX0i3N8GItemcySkVLzjK8GmN9pieM//KUvdqzPrdhmqziXGuu4VFq95bR8GdME\njyM8lP3jWMzvYoJ3rU0UX1a2CfMi57vWPnsrecJCtg4na/ujaSDnFXIKmJ0jG4pquGqwJRVLy9jL\nPo3WBnHwQpzG1pxdZzPj16logsWzn0K5l7wMZnmyhSe7ed/38PAID3vb90prd04ymcxtcfr1QJ85\nr/UZmZXLLQZmx2xr1GpfR1WswlwdcFM03PsED2ner3Jp2H7d2GpY6w42rT3rwzC3/VgmPPP+zP8y\na+a1K8KzTbB0Sai7F9GYDXSlnG63hW5duPijaWPD0cA+YVaJ1q9ViN0qWNOYQvchzl/7wLzcYxm7\n+2T9uU+2tu+6gXVrC7pvWjvfMM0tlTF7XhKxjGffusboJo29GA1spQAM2eiN/WD7w2DHqX9C5rwq\nmJpCLiW8Q2OacpesrVIRTs5PM0U4TNaOkz2fqn1qFaguL43XLrBcUD7CfS5sX7a2ifCkKS1aJm9T\nVvtqbkzI3L2F+zvb3721/pKFsGqKEMlLh3nNVvo+mwToDtzPK3e54xTa2paIqOnK+wP47T/8Q3bf\n+f95ieP//NEXO66LBrg3rbVNnHlW8avX+sKvJToCj7kwIWWANP2SGj8fV/ZttOvddnBTijVN/297\n5xaryVXd+d/eVfVdzzndbtvdbXdDDO0bYKfdGoNfZqQJxLFyoZMIaeREQpEgEoqUC3mIUB7zEBsS\n5SEZXqJISRgegKdRUGRbEBELFMBMHFAmsTIxoQntW7vd3ef23eq252GtVbW/OqfbxO7TBM5Z0lZ9\n5zv11WXXrrXX/q//Wkst3ErhgFyV3EK3RVDogtaKjK1GT6sEmnKH0BQjtkLGVaf1EQUy0K2PL1QH\nZBc6Xa1gtYS1AlZzsSSmM5mUZuYI61xnl82Ys4wEebS6lW4zRCHNUGXP0hwltHanCkrhDoco+LgZ\nKce2vSDL4J5rYeSpKsCJnsecmub07Frm5pKIuwqWLbQYYjWYNR4TaYCsEqdothAFVCxo6uIW0CT4\nsmeHPV+3u7KPMXGz+uIyjYYCzoMowZluu2OA6JyFjoEYuTGmYDwWU1P22jwylq2VZfs87ZnutgKK\n+8hsrVgZWj6fJq9Pp6/t/uIWj8VAO+HGufx80Fa342hSi6Kf1GIIrjhY1dZfKNynKxky2JrA9gy2\nCtUDuvK1ucgeT+Ry2uGW6r6fu6niuL+cnqeLkMbHMDfM6V2OdT3khir7//cGf5fWUg1mWLbBk80g\nDrt3dFcMZotjdbqDqytJDaMchkVrzdq+8bnjlykmkVgerS57MUMtH916lo8TX6s127en2/ilNt9c\n1w89nEsbbLSVzmpVClVoCQzGZqvoKFwalmpzbIesMAa6NTdHTMBJOy0J+sLZtbpIQdJCxLECsbqq\nrmj7p9TrthcwfnY1O1+u7iTreP1nvuP3NU16YFPGMSs3hGXFEMMPDUOHZWVp1xG7V2BZoRAdL/bD\npzpuUr14UxTGVu1OePHYDNqvaS3sGNsnHs/1Luft9pkp+9gt0BVbSUA7WcRj1u4vPlfX5dSF1pwe\n06DAWClbH/RCND6RidrN20kUp5NZUJZoaCd5O1f32djzWbo/lsfebhKPo66BYcfoPh9oSVLXW26o\nsl95/V12FXsYddjph4qZYrv9zrYKJS+x9WKfYzw729b8NF5fAosHsqV+giyF+z21lHpynI0CNnLZ\nbkeUUNc5rpEgjH9rzTnYqGGzbrfd+4BlunfCTsKOFdwu9PqHPRj3tQ3kPjcW2uawnS8f03I1aaBh\nM6lYAkHLWBAP5oASFlyb+DGwbCkWofXXjWiVRzM50E5EZrmaMjNlEyuCrlJPomP2XMQSdXK8Mjpu\nV5HFL51tLbDJR30aS8w6Ndq/jc/YWrRj2kveJT11J6Z4Mixo7yNO9xOfN7BzZVZ2movuJ/Yrxu+B\nxaXFxkf3GDYG7Fq6fd9lOtuqMWbsxo7vLh/BHOHxpGLjP77WsrO1jBqm7JOo4+33Mbs3jo2LV/hX\nGxdXMxJ2+3/cHzbxxrBifB919LvddNn1kBsbVDV6/X12lcASNS4EZTkkbTa6bgc1uG1oLYKiFkda\nHmRbO8EOrTUYMC3uZk5Ic0j2EsFODd8bZTDuwagnoeMVcGkOlxdwaQHreeu4rCvZDhSOGqXye4NF\nxkGr/AW4XLdtWMu1l9bUuhs5WPNwyAmeaRaLtdiCL7XPVgdw6yrcsiLK77UJXNzW1UKl12EwDars\nQxQiEJahloRoNRFke8hpungnrQDWA1yJrOD4hYzT3JhytIwMRhrZTbpQwm4rKIM8BgickOt15k62\nV3sBYyXcPXbXWouYuULQcNEE7gSGjI9rCrRp+pYnbvkcRTRWiwiz7ycCiwWn41lbMKu2FrisHyD3\nUDjd+vZ9aCau0I4Rc5gCS7NTiRzDcug4J1DqwGnxEWgDknQbGx5TBF/v6bX3UnkW5rS3ALNcDQG7\n58S3LJteIr6Cbr/lEeadVzQ5+oZOri9RS8ByBVVOfQmVEg2q5XGXQlNKsqlPjPrGomcYRwy7msZh\nbM3GjQ/ttuvvi40OM8jgR0TZv+fMG/tdtYDFFuSb0so5DI/A8Oa2ue5askJYIVHEbDVRhoHysYNF\n6KkJGuIlgkOcRVvCTAhbECaQHoHsiHBy0yPCOvCb4Deg3JDfrA7l+o4Oocyg3IJiS7bllvy+fwL6\nt0vLgPQiJBdl6zbhiE4ixzLIM5hOYTaF6UQ+Zw7WhqK814byElWF0hvVs2+RlrbtFTDegnQOxbq8\nACuIYjieQXWodSAl6qStgvhFqlq2lg3U8oAEVURFNJma1Wc5xAItBJaxbKXaVru86X5L/GhV9Uzx\nXku61qWtBi1kwocWeokt7li/dRV+YKfF3V2Sxy9vhTjmh5o1cjiSkHtTAI1BEZYb0CTGspq1+RTy\nCSwm8rl3E/Rvgf6t0hzCTIljC5KFjMlkLhh1PZJxXmsj0FIdFb9rmCXqj4ojXYtKnKtpguSISZFi\nKENlBQ3lb7dQuETP37XaWQN/FJKjsnVD4AqEK0jKiCtQL+Rdr7W5EVKG8AgkR2QQLQXBlbB9CSaX\ndHtZxvJKBquptN4Aid/QVvVgax22NrSty1he8jElsgoe9mBoKSSiCQMvOqhYyLacyzNPe0hsRE8d\nyLVCkdoJS3WIgUkFWxVs6nah42CvlPINVfYn36iyn0B+ARYXIE+h3ITecei/FXraXJdnn7Ncfm0b\nwroOrnVR7O4IuJvb1uR5UfMzzKC6pJSpCsmbcRMkb4Xkx8C/FcIG1Oeh+p68dFQSap3cghSTXoXy\nIpSvyuqhzMGPkSCOo5CeVHjE1nkaoDEcSbMCGNN1GcxTYLIQ+tZ4BONVGK0JlLSEUy2ETTG3bS7K\nLqvEsvE5JKnAT0mPJjvf0rrTrikCRht6ZB05yQNNAFIVaBgZXilmSQ2+gH4B41L2W5pUbFWlmrSB\nOlQRWoHvLpWmwZlDpARsQqoUsojYG961k1RjkYXIsg/ssOzjpfVuFlf8f8N7E1pWU6YtdsIuOQ/s\nWlyr7K22bO616Yqkl0nK4f5hUfYJCDU3iY6p2GawgilDpHiKBU3FTK8GH22vJ9SSK2Y+120tTLV+\nX5gt/T6klobaWiaGkAXAhRphGSnG4zKET3grUp/5VmQWN1zFlkWmTPU6GCC01EPyfoYRS8Xiq0W0\nWtAVxjBTBtoY1kbQW6XNZX8TVH0YvgjDlyQKebjBDnKHUexHThhkfRs/0VgqEnkuha52EhdBukN5\nPy0lRY3cz5IzNrTO+6FCngbP/kgoe96gsveb0D8PvTHUmQxk/xZwp8DdJW3XoKory80pJziY2Xkc\n3G2ANWijYTXCz0cDNmRIMNft4O4E9w5wl+SYSS2WFTNwx6JjH5aXI0l0ACulxU3AvaIrD08bxm8v\nxupyy1IYVZDOZAnvU+j1pU8SiyjtAKXZDPwMelOBZnzQQZvQ1szstS9lA2DGIHgHsHWVwFnGtw81\nSwoaR+OMsDqvdUEb37AFIZd+tRD4xEDchCbRlmEdFl25w/voov/pfsVCoy9VUbkgyqnfE0WVpbLi\niUv5GTe/iT1oD9k4DWF5BdCVHZh2JYU9+lM+WjISAAAgAElEQVRRFD2vl+46q4PogJ5lBotHrOpS\nIYoygJ9DqiuyJkguDhIsaEB0Z5WfbGW7geT70Ztq+k6XTy6qT+C3IdNyhL4UIyAbQboCfoU2rUI0\nZpoSiTOklKIGPZpl7lI998tIsFMc3KUtlLT0y0ru0V3Wd0SraeXbEv2ab8uqp1KaZk/jSQYrMDwM\nvVvEmONmRNEfQcodZjL5DhfgrsgKOfZ7FEgOonwOm7lMwqlrYaGhNlvpLjEBbfIuaVI/FIt22y1O\n5hWO7QUYhdYn1lVl10turLK/8439zOlSizkkm0hiqZsc9TFH9RYIb3eEXrQ/SCDHKODTgA/gjJtW\n09b9vBlR8m/VViKpEzwSoKKKxysAHPoQVh31LY5wu5zXrSDFya8E/AUtKL5GG0Bykyp2y5Uz1OMb\nBSWJ/oa2tqulBdDmZpBsCc/bKYc/zVRhWvRjzFXriSXikJcgK9Wqjfn/cRESO2/sBTQvVoduEwdM\nucgBDdBQL4L+VvexOAOnVnrM0U5ioN1a7PFtHirL2rLjwcwy4cL3LVYhtJZ15gSKqG+Cut+2qmQp\nk2S1gHouMEKY0xawCO3WJzR5yL1XCmaEHdeGBSv2ZHNVHV2+LZhsonDaJzFu3HUm9zXisz+HwRVd\nSeTSDKtK4pVar72OpAKvCr7Byms5mbcxpZQzF0TJ+4U+p6C/NWoWbZ+TizVebkM5hWImsEY6FVgj\nS2ny6gStURumOi5cC1u5nijQEpngyly+T3uQLmQbHJQTgXRnGxIEZaunvu6brUB2M2THIVFjq6GY\nlTJ2e7ncYy8VqK0stY+DTv7qNzCfSREE6zca8kRXiI1dFBQiVCgM9adUGtFthdZjplyOWPWJ+j+G\nTsYotEr/esuNVfZve4O/ew0hxF4GLgh0Uq04yiOe8rinfIsXaz2SZD2QUpPmNem0JrGizfEUfhhZ\nVt4G/BhtrhDLyOhpgl5MAZZ23mOe8qTHZ4H0Yk32So1blVTNTR4Ns8wt54vlHjHL1dIg2FQeK7xO\ntR03RtLKZqIcLeWqixV8TF/IxAIPqnATe0k1kKfJHTLqNKPQWFuwbIHFGT3jqk0x/mGj2ZRyKQrJ\nlt+hFuXv7W3R61oynWPFbyuOWMzSt9/XqhgyWco3x4sTpTnwt0njdn3udk/WNmjTbFyGsEWT5qHS\nbdJJ9VCWspLIdVVR1juxf9dp+lgaS69GnZs6DFxYpsUWQDYXRd+70vo0uueIHd99J0FpvazdEtr7\nqNTASFAIb6iWe0zBQi/Wago0POC2BS9Q62Ib5lPJcdPbgkEpfZpc0vMqJl8uxBpOrBDIWD6XXjN7\nzgR+TJ3EWgycjPvgxQeWJzBzcknjRCaUcQorKfhDwC26qn4rMqbNpN4Uwyu7JKteHLCiq7y6JYHM\nKuXu63auyr+hRIZlJlJPn11t75tCklXZThgLWqaW167rOXW2eyGaNMp+jzy0N1TZb940fP2ddhFf\nBpJDNclqTTKu8aNAMegxy3rMkj4z12dHimNXMvQLhumCQZaT9IplzmAO1chTriaUhzzVYY+bQXql\nIhnUpFmNT+ol/Dp4KHzGzPWZuR4z1ydzFcNkwSBdMOzl+F65PArMQo65i7CsIA1rtTfdvJLmPF6l\nKVztewJ1xEUilgpvxHj7QieqmAwd79+nLQOo58DRmh9XaBVll8RvXk/Di6HVZIYRW5vL6sybv2Qu\n9+HifYiOY6sCdbLvsOjN2anXFOYQFkj6gXE0QduEasepEbjMVjCO1lyL77HS82mVMG+pCLxavArL\nWFrapG4ty4GHOoWwqm0FwlgmNzPjXSUQxFwhicW2KAmL5M509TXTSOFpKZ9jW8DsBUW7GqaH6WWL\nb3ClTPrOLPWgk0ot2yxAf1tfjVxWoHOtvTqZi8JLkCjYXgG9uTgws0yctVkqK6YkCMustwbVqk6I\n6qz0fbk/NxVr3lcC1/iSNsPsHHHwzqS/k1pWV7N1Uf7usq6mSsgKQWXcWNg6xtjxqQ6NOTJpX6DN\nPIs+8xXESLGaB16YNlXQFUUhcO1gBXojuGkERQqzidbcnchnG1L2ek1rua5eBZmudiwI0MpcDNWC\nH+m2pytOW3kmHZ/U9ZYbq+xX3hj3MpnV9MYl/VFBf1TihjVFP2OajdjyY7YYs6N4iVtQJRNc6sh6\nlXgHO8q+HCYsRhmLccZiJcP7mv6woN8rcEkhlmesZLyjcBkzN2TLjdlkTN/l1MkEn0I/20XRWyBA\n7BQLUYspH2ahdx1gmmvc9dXCiWCEpcyRBgfZ9aa7nDvmJdr1DaIWeydtRMe56S0xVjeKJ8bT41XN\nCg130uXgJ/KiO+VFNjnLY9yTqF/ia+lyH9GlcyHKPkCT68WUfcM8Weg1W0EZaMnpMXXEYCklmzt1\nOHvXLtmdp6HlurK9nMRHz+9WxHdzDMGOO5FKxQaMrkB+GQqdVHtqpfYSUYrbM2m9mcJwCnlZq2kp\nuYU6ya0LG4RLoQmL+DUOfdMCDCdihZdTUeIbucRerOcS55EGcWYOCvXzeo2I1ufhUhmbvZ6OUTNw\n4lYiVZx0fIVUlbPBPOZkjx57WSiMtq2P38MwlTZKpaA5KUupGpoJfEvHyoLlrJ5m4KjRhKNJO1yp\nj4RMWTWrwrqr++IrcV72KxUGMjq35UZydTsWzD3XpC9xcLNStUcZHFH6qaV37qZX2Au5ocp+g0NX\n/V9cP7YrmSsZ+TkkM5I04NOaIklZ+AETN2aDQzuUfeFmJD7QTwvqbN7idn1kAPSgyhIWSZ+pHzBx\nQxIqajfH+xmZV5CzY02WJCzoM2HMJmsM3YLM1fR9QZ3MlhVpHHmSsrtlb8rNIBgbjB3r2Gm1Ia/K\n2ynE5GOlHSt62ElAt/PEStOsaFuex8W2DyMW0iUESrtEm5XTmlnC5slEjzdBoJAMmupPW7Rr4Xhy\nMEgp9h3ULGMYIepThcKcOtJt29QSvYRkRVTlYnESzot12eD929GziRWT3U98TzYh7CJ1HUE9CtAn\nM4HOklyxe0+bKdVDeos66IL4ATAK75ZswxZkW7roKYUum1pBDW0OJP++Ff/eJfRyewGTXNq2xnzU\nRIF3tVxjWso1e99ao5aaYqyPyRZE/SD9ad1SBF1pVJAY9pQutwabXxElGlJZ2bkok2d1ERYXYXIR\nJnqczCk7Rh2lGbIqCZVy/pVo4M0HZePaWD6FjhmbiBM5d3BqKOQ0SfiMFVXmsLgsdOniFdnfhuhK\nKj6BRS7pRnLdLuplMlxMelpBrPZDI1hbhdEq9FdVvUQrZmfja49A+xtr2bN21f+1Jb+hO7f1XY7z\njiyp6acFZCVVmoqidmO2WKXqBG3XLmHgC4pkRpX6nZZGD0o9xsSN2WSFzJV458hcxcDnsp70y5dT\nkTKnz4QRm6xRuRkDnzNOZtS7nSeGcOLb2s2yN2UfWyL2ud9CMnER6SaMuN85h0EsXfjDdz6b4rf1\naHcbTxhdK96z877ss60KFJwOC8VGjRqpVpDxlpcmOkvfa3RSs7bjBDrJ8ulAYYKpWvFaHAO1NncU\nojaFbyCq3l+odJUQwUPmBDWmiNEobVsHlvI0WepfN1FCQZ/Wd6MrHldAIvZLm7nOJl9VZl6hlp5a\nvL0+9Negdyv0j8pkwSZNXn/MMtaxFQL0DosFPOxL3EaxELZMtSXbekFDo7WEXrUyiJJELOg0CF23\nDJK4bo58l6rVnzq91oKmFm3Wh2zQQhRWeGSJ+RUbIspqsXQYRmf0ei0GezQponXsOVtJdaHDWPE3\nSwU9j1Eiy3bbsGrUys9LgY8WQfpjpS+8+5U+rPY0J08l0K5F49s8p+zpxkVnlzbuwXAF+jdBcjOS\nq8d8RZ7WEPpRgHG2r5IwIVb0u1n2BQsyXzFIc+rME3pQpgmLpMfUD9l2KzuUvQPGbkbuM1HCHUuD\nFKokYeH7TJ0o7h65KvoFdQPMtk2M4JQFfaaq7GuXMPZTOU9Mp4hbV9lfDcaJFV7cIlrcEozRhWSI\njhnv11XGsaI3/8AaYoLUtJa8mYAWqzCh9TQZbS+OlbfWuf8wVTRmIVCCpYR1pVg3RAoSaCOout7H\nGGZRxlTTdz2abJuW+ZEEnJYodKssJzeyforDPGei3K3Wq9Ezm8pP1vTnplwdNNGW3okS9nPwG3qt\nBUIAOAqc0M8vAP8K4XnZok7MJjLTnKHW30Gflym3Fd1n2p4jzGhTXFcyCaV3wqE74dAp4E6or0D1\nr1D+K1TPQ/VqC0UUtRyyl4pD19KAbJZwuYBLBbyUC2TRCzSZPVPUKlWoC6eR3WOxZg9poZElaBNk\ngrLCPhsySSdzWcVkpTzDQdLCNj19j6wQiDPIcEVWDE1ZynhCSbXvLM9KjcTGTGWia6Lb46ar7eZV\nCWqFq+UdahkXeSnO3G11wBpV114BU/KWNHCQSJ8m9vzyaBzaqhz4EVP2sUoPkbL3kXXfSu1Shi6n\ncFPqJIHEUSUphe8xd0O2EWUfH9U5WPPbFEkmv4ktVf1cp54iyZj7ARM3oiRlxJySjNr5nZZ47ahC\nQh56zMKQCWM8gYXrUyYp4SqTyq6WvR3TtIVh9jGU0dAq2mve1ZLezVKPrfHu/r6zbzxhdH+/RWsJ\nR8FVzSAtonPY1hR4pLiMdul2s+TH0W+LzvFjZR+vOjzLxVyUZ97kLrf+tcQsJaLUYytQ662yRbP0\nb3Bl3x6jCG3KgkLvy/4XK3r7nNStNe6cYvmmwHVSqydQbUD9GlSvAJdpi5XoczZFZBlRXQ1JCWlO\nSwvVCNpqIt+5UdvSEVKKsAb3qjhowybUrwgOXjuoBuqYrFteP4hCm+eqzGqYlfI/m3P6SLpx0+FL\nof/A1lwiyqcFrE/EUdtg66qAQ1TGMEx1ZVTJPVuK6sLOHZCAQHMKe1lRLMGQ1s9mCBllKTIoQkwl\nrnQ10bn2kAg7aayNRK7L+uLlqQSbzSvdRkM0Hp6Jnnqm91FMkSDNBbChr6eixb5mZxaA6yw3VNlP\nGANENry0Gk/AU6vC3ymeFTel8BmV91KowyfkrsfMDZgwpiRdwv0TauZ+IMrelLAt4fVzlSQUPmPu\nxFKvScjpU5JSmykvB2yUV1V7ipCxYMAkjMlcRe5F2dcNqMj3p+xNbHDGDJlY0V+N0bPbcWIcfDcY\nJ95vN4vcnKu2VborPVpnqeHpBtXE54flvs6QQheFKlLkZfKZWHvOoI0qakX02c5pyt40S0JLldzS\nbc1yH9uxNvXvDInePIqsZG6mBaINIutDMhU4AqeHUGUzUxx7B4qlkIlJWgkvm0QYOgz0H3PEkk2h\nfhWKS+KoLXTF1AsR7JEIfFB6zeODWJbpQhR80FKMxaZgy/mWQBLZTZAdlQjz7Lg+vytINTUNUEpq\nmrw4YaRUzEK2pVeIolD6Yb2c9sBqGKy6doj0aRd+06BVPbUC0+XL7WvUHYbxIguW+RN9xMKe17BQ\nIyBNNPstwmxJA611XCBa1VanXg/S8Y05w1o08An1mZS0uZ2SVKLXR2ONYk/h0hQuTeDyRD6b2L3Y\n0IxtJjvVFIGnVrckGKxC4MveANIhZEOdoPdYG/9AlL2nIqFW9V5Tk1BFDWgmAkcgoaZwGZVPCBpm\nWPqEhe8xU8u+JI0Q/0Du5s1vGngltlgd1N5TuIy5GzBlTE3CwvUpXEpwO2EcgJqEkowFfeYMmbuc\n3PWofEow6CfmyMVKVw7Qbq0ZFBFb9rGSvxruH0vXwr8Wph7/D5YszgYauKznN0W6rt8bCye2nPwu\nx41aKMWKNNZDXclLV8/AT6L7jh2wNpFYc7TxC7ZcfxUJgrM3i6jPM1pKhMIhoYhedmtB97X0m2qW\nOe0XV4oTdagWf6aOxsQgG0dTwMKS1DXm3EanP1+gYVf5LehdhnQGfY1K9SMk6lQVjNsAvw7Jujp7\nS/BT+d4F2txNM5pkYsmWKJIw0b6xMaE03mImE8NCFU/IlfLZg2wkUEOZC7ZfLCBb6HzoI5pgIgnZ\neqlsUy9MnZVSnZalTBTToDUkwrJvO1zjs1nHPSDNNEq8J9vUt5ZwKDUFSBo1i1fRmAGgtfZtclMf\nS6lO9TKXFU2l//dBvt+YwJVc/BqllyJFc6XAwjJS1KNlKA2VpeSd5heq2mRtI7+cvDFJFCLKaZKp\nAY0/63rLDYZxBPZIKEmpSChJqCjJKEgpySg1GsbrZOCpyVxJ6VJV9mrZJ6ni7WO2WKPC43Xa8NTk\nZNFvdlH2CVTeU7hUVggMwEFORuVS6mZdvnwPNY6ShIKMhaD8ch7nJYy9C490oZcYL+4qexvlu1n1\ndv1dC323tpuSv9r+XYzdrCSzlAwqMczTIBaie4238bk711IjL1pcRayBhgy2MnPRYBejfDrEGj+k\nbUiLdVrgV5BVQ5NyQT19zpb7qiSc0Umn0TMwbCKeZDJRIqk+L1epM9LT5EqxSk+WCK7Q1UWag1Nl\nWivds3Gwa8Cbt/tPaeu/aqvtmevE4Yiu1e6raldLFi3t5wrbKBuqHov1XmtB90UJc6dVorTgwkhj\nHnorYmVm29Db1rk3l24ZJaKsRqng+L7fNlIJ9qpmGjg1a9NzU4tibWr66phccp2E9pUwu2MBDdMm\n7UMYynnModokcIOmrrCfi3XsxtoHNrbjFTpQJepIraU/yrolW5WIcp5XEthlNSni4dxFAo2OOkzb\n5GkemSAWhWZZrWSytCyoVlbSks+FRfu6ejMIr7PccMveU5NRkFHQU9t9QY8FfRYMWNDHU5NSkuoU\nMCCl9Cl14tVKd4q1D9lyK1zhMIAeMyejoHIJtfMEM792wahD4qmThNKlFK5HRqkQzuub0K2PwROW\nvHPs3q6G19uDjXHsLl7fVfjtZSwr6/iN+X7ElMxNCLxxZJdrvoI4ax2tUo3597sFPcWOuO5E0MXs\nRyxHGSvzCE9LyzDrzCKOoZ0IzGq9pcWu6035TBGdPig0Y1FH29FxTYmaUzRm6ZjCjZ5h87hV6Sf6\nEltGS/SwVAK5zBGllWTttsHw1elLheSnifwTIYHgFVt3UPeRQC1NKOZLiaZNM4kytVq53qtyLaFY\nh3xdFQ40uWTqAtKCJu9NchOSuO8QJK+J9T4oBdu3spL9TKz5TMeo00ZKE4eQoPdTipN1DNxUyz34\nqOGilAS0qSHix4NCf8wEz+734fCKOn5XJLtsrfWkjWHkhwiNFPV/WMI1bXUBiyFMerCdyHmKToth\nK0MQ41rvQ0Rxp7TU0MxrkJQpcieTcawSqkqgwLk6Y41IkDo1InR8DcNOdXE95IYq+1c4TkrJmAkr\nTBrFX5IxZcQWq2yzSkbBkCkjpmKpuxrnapwLuCQQEqgTR+USSpeR02smiHgySZ1Y+c4iFjpWp/MB\n5wLexR6DGEXcKbZ6SJuJJZfzOk2VcDVrezeJwcyYaWE5dGI4p2vZ2/3EE1istF7v/K6z7V5X2OXz\nblBNEn3vOp/DLo3OsWyicrSTiKeFlYx6GaL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       "text": [
        "<matplotlib.figure.Figure at 0x10974e750>"
       ]
      }
     ],
     "prompt_number": 28
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "With very high modulation, the biquad can actually become unstable, while the state variable formulation performs fine."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "r = 0.9\n",
      "specgram(eval_mod(0.25 + 0.185 * sign(sweep(n, 0.1)), res, saw(0.05, n), svf_lp))\n",
      "show()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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Ro2ADmHkxV94nKY/KOqk4pgn0Vc24vuAubGj7kfX2wGZ7YL09Ynd9BOie6dpU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\nBzIKxctp3mhlAAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x1094a4550>"
       ]
      }
     ],
     "prompt_number": 29
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "specgram(eval_mod(0.25 + 0.185 * sign(sweep(n, 0.1)), res, saw(0.05, n), rbj_lpf_mat))\n",
      "show()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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ICE/1FU/0FU/0JX2+JeRyfU4NHKqDtoA6sBZKqzysiFWs9HbtxiNDTQubabhj\nzy17bjgwO8++H9iFgd1uYPd0wMvGPotG9dXyCam8Ua5U5DTOXphKGd/Z2RbAaaadI900W2JaMD+V\nBiG5sJSN9tnKFmdNtCiZhOpEciOzO5bjWnZON81000Q3zjCY4zXvyjYIQ+i4CwcrnhYOIMLVfMf1\nfMe1u+PgjudCKlldn5gDY24YCRizY9LDEfEP0WpbB6fau5F31TIw3l9KgpwrFTIdRWMvRrI4JTiL\nQAp3RcUYFZlKeKds7nmhWCSxVK+VGnGzzYgvwsBl06y5LZp9YwIolwAN8SxZ0BI5L9/iLK9ARiXE\nRDpFS7BLisvZsowrpbR1Gl8oADmbg7YGO22DmD6P9oWC/XM+PCMOPh6urHWMPOcjnvGCJ7yil5G+\nO9E+mfFvJeQd1nTq2n4MeAP0ANpcnKtoH61OXIlpn2/zHjMNV9wuVkTPsOyTMLN57lridSC/5eDH\nMSbnOeaj3RaEqg68CwFTT38f5L8Xi39Ot/gCxJftXCtfz7GNcV+onCqIxMIkjZFu8Zsome99d1ba\nA0wrl5I6D0bD1YJiIIRiKTWle8z5KKKLY3Pr+DTQPfCC57zPW8Ux62jzxHW+IeRo4CB6RkksDlpX\nZG0tYbt1NHqrAZ+d4LKQRXHFQZtxTDSc2HHLgUkacuMNSPqM10iYE03EolVmO1cutfhTAETI3jRW\nV3LNondMLjD4ltG1tDHSzRPtNNPPEyLK1BmlM3kLS21K/KbPFNBXyNGSyQqHHxtHDI7YODLgVfGq\nZQ6NHtKNFTL6hlvZ81Ke8UKeouqYaUGE4BJtmJDJNG6JiouKeiGmwJRbRm3NAmBc4v3rc5TdGn0m\nFfiyHScjxGwO2zk4cuOW9Q/q7xC1oAnJJXkS0/wTaCrWQ3ns1Rdrpy1hp60jt2LHm9Wyf6NaTs/W\nV1MoNaJx8ohp+WlfjlNiHl0A15il5uJqudRnyiXFjZt3sPo0LqNytq/L1hDfXE7Uc7D/oaBxfpLv\nAFwA3ycD+yeLnveK4CLvX32Jw5fuaH9qgknXuKXavgS8gwFxcbpULa/WQ98x8Exe8BX9T4xiPHLH\nuIQJelJZpqNWYW+Y94H0lke/6uAkFn35FWzbrNe05eErrQEWXz2Ws4zF/K5p2Q9p8pc0iwHmRCCd\nnaNaCanwGCWdhkCk51QsJLu2hhn3wCNlCsh6vEg4i4xfhUbcjLnwwMVis2tM7OXEcz7CkUvlyxLZ\ngl/GTS7QWr4xAAAgAElEQVT12lN5DmpWJY5A4oo7gEXo1howLdNCDSQxTXHR4GGt1XOZrPeA43bl\n7Esopswc5BYvEwe5Iamj29Qy79JsQBZ1SSRCCihVf0Gx7rKzDoJLkX7M9HFCo+B0DWX15FIbp+Uo\nPUc6Zgl0bqILI70f6ZrqSLVsVqdKlMBJWk6+5+Q7Zu/xIRF2CZ8SPltdmiaVhLBT5JkcOfiZL/sX\nzK6xhB8HeGXsPd+VZ7R3c7nWSDtYyIs2gnZCVlcKx63vbRbH0LacGgsBPbUd/TjRjyP9OLEbR5J3\nnNqeY9hx53sm1+Al4bVYnZrpJqsF1OWJXme7adVSKz2XMhq59Mm1jL5jci2Ta2ndTO9Gds3Irh8J\nYzqvaV/xeVPoLQdHbDyxdcytBwe+Sbjekrf8nK1g2wncUXGnB0Dqwi9Q6b8loWvjFK90kgZz7ke3\navefZ/tCwf5f8H99X/tVZ19f2El1juunr9j9xB1tGHDPIy6di1N5kuDtDG8r7KrWW97z8pzuOfIl\n3qf6BaojsQKbIsvqUkf2OMl0Twbad0a8n3DPZmSX4M2MvJlhZ9FDQSKdjESsRo0t4nFcVqaypHiz\nIRQxLbe8+BWFWoy77RiXOHVbt+pIw1yuZiV8qhbkNRFy4d9LdUgnGS+ZnmmJZhFyUaQirU7sOXEZ\nJVQzX6t10DFurIPEwutnXYSoZKV1kZ2MRHcki6eVaTlewtMws9MTnU4WaZKMv3XZttkpDTMH7ggS\n2WHcb68DvQw4l0nq1wVO0LKKUwF5xMA/l/dPbW6KXLJ5yhmN9lkRkocsJdHLWyaq+TnEHI85GmjG\naDHmIsTgUL96MCQbCIOeOYCRstjGlMvCG2stldwIsWmYQ2AKwY7pVk5LNklaqrYiVQ7Gs8/eFgOJ\nNS7f2zY2VdQru2GEwerA+xmrZ6+JTsaS/GbadiyJb0ndatGVmH2nmSZFdBIk2P9142yRRbNaglep\nN59bS7ayVcdkU05aSJ0nNoHZ2coGDRHR2eiqbAJU5tUxqk4s0qkuDOIfUAw3IZPZb3zjHks424Q7\nLgpAbfVz8ck4BT+X/Wqdm84RmxIlNCiSMgx6nh1d/YRbqqfSN1V/25ZZ2Fiw25yvTUn9z6V9oWD/\nr/iL72u/qmlWrv/o9+zfvKU/3NG8cyKMJ1I+11RdMyL9DH220CqxUDUtPXvhILc0MvOGfMBP8feL\ntlI16rmEstX+Qp5x88Y1H+2fs3vnljCccDLi/AwhWURGSPT+hHMTvRx5Ul6ibX/BMz7gTRyZWBzI\nvoQQaHlKdhzpFvEwbURVtUZl+W0FsCZF+jTRp4EuTYy+Y/CRwUe8N0qlKdEQLpup3unINUrQkR23\nxepYLY+aINUxsOeuCMEqZDxZvZUQiMlCYmMih4kpzAxNwoVMI/NZNFCnE9f5jqt0R59mc65WZBO1\nN9ZNhQaa2cmJ6lD3JFSNW6/FtnxOSC4WRi2i5sxq8M6cnDIXYSQZr+YQdJoM8Jxj9oHsHDMNg3S2\n7Ip0lszFiSRHS6N381lETPQeF9VS4adEM6d1VaLta1sTrGp9+8YztoGpD0y7QArFKS2RHRFBaWOk\nnWpPha7xTK0nNp7sLHyklROtnMi4C0u0xYvSuEz2sWiSjqm11bGmLlhyU0w0MbKfRkJMBriqVotq\nr1ahUTO7cbQlBhVbeWvGiphlpXUT4iNtOHHIDi+2cEeDFT8T5wgh0oSJzjmCzvTzyG4e6aeJ3TyW\nKqC6RLaktlBUzjN3DrxYkbc5W2nomGmaka6djc7CWTE2n/BtBpdJnqUidrXuzzh0BT9km6cSJJB6\nIV575ifeKNsGsk+0LuEceJdWlN5G6yxZ/9yvn3Ppz8v2mCdd/cE/VNE4b6YPvq/9Mo5JWiaxBzhK\noGvNxO12A10ekIsp6mSwWio+o86iQF7KU+7cgffkSwRNyyqvvQ480Vf3ePCZZl1KEeOjr5sbDv6W\n/e6OPp1odSTkGacJzVYVUB0lbDSXe66LpVDpEdPT97RMC/Wyvqyd8dqa6BkWq2MmEMVWfz0PwHQ2\n9qJdh2SJK0mSpYK7i9DLUorYkWnyDCnj40QngTs5IA5SWa0Jts7W1Zsgm28cK+/qU8a7bLVF1LJo\nA7LQQSY4JvYM9IwEjevSgLlo9znhMAdqPUuUsFgcWSyxqtfR1qSNI00aUCcFgA2MRSBogpysDgsl\nPBM7jz1bYqtT4UtBsKb4L3y5L0J0jlk8k/P4HLCbjAFOoQRriWOpPoSL0E7zG+jitFSf8SFZ4cMp\nk5Jb4+dLLZWtdl+pR6eZkIGcmSWUPGWb2SR+IRBrBnPrI9IlZi+c2rp6htFI3TAX/t3uYwqg3uF8\nqWLpFO9ZQJgBymNmJRMCaCeljr3inVEe7asy3hrSmUxwuC4TJNL6ieQ87TzRnGba00xzivdUWslW\nVVRywk2K+jVfBDI5KJIzYcj4k9BRrLvyzonqmsUM6xoamzIHzFUQ6PpMR7EitqIEzWgj+GMpFV35\nezgb79Q0DIee075j2HdocPRxWAqqddN4rvFfOLA/nsz+9O2LDb2Mw8f/6IGWxC9SUZ3xuY2faSun\nyXCPgzaQibhyp2cabuRJSfIwUuTL+Z95W9/j7fweV3pLr+fj85KYpGV2DdGZVn7lbzm4OxMSDHRp\nJKQZSQlNJR5aZBMD7asOvLyIa+kAC/Gs7oZIYKQ3ENaJvpjUQWM5XmCk4yS7haPfFluoVQRRW5Ba\nVBa/1KXDF0x7CzniUqIRbLZcYPYtzmUzy4tFFQt8WGTNGvPv6xiWNH2Lpqp0WFvcTtVesKUKJ9qS\nYOVJmwVQdKFfoJjxskYyVatjKmGbT/MNmm5oohLmsRSc8iQfmCSU5yVaHfZcOPWNludKdE52jqR+\n8Uzk8rCZP0KM18Uxq8cTCINplmE0oBEx/rVqdtmzZN2mQmGsa/RWp2OmibaOqxvtGR/allPbMree\nGDxOwEsmO6sm6SQTcsbHEmWYhZML3Porbtw1szS2qLvesStKgi2w4oyPpiXM2SyQKdGMEYGFq54b\nT2wczZRpfLJIGFcKgc1YfPjJnKPpqYVExqfntXH8mPGjrou2VLBtCs0lGdcko+3mjDspcqOWYLSt\nHBqwNYeHtICjujXxKfeQGnCD4oZ1ay8uK0de7jXVOV9Xs4I1AeuiOVfq3FA0+MAaI19Xv6rHKxr7\neNXy0fMnfPjGMz56/ozUOp7fvuSNmxe8cfuCLo2rZl/4m2rIFuNzGe7nBfxfKNi/F97+vvZb0tfF\n5HrUwDj2DNOB4/iEu/E545IeZ+3gJ4buwNx15Nbjm8RTXvDWhlBpZKYVi4R4oc/OdGVB7QWkZ5K2\ncOsJRkccO8bpwN34jKN8xOD3RN+i3lkI4KLB+0LTbCNbtICVLxpyLr6cloRnLAt2RKlxK1Z+9o4r\nbrjiRq655RpBS86B8fgCHEPP7ALHsCNosnhs8UTnieLpmAmSaZ3x+cl5xtAwhJahaRmajlu54lau\nuBHzKXSMHLhbqIGOccO+lwDSuqhMUFynDK7n6HpOrmOWZgH/JeBWfOF+MxqUlEsYqCsAX6JzHHlZ\nEtDsGYN8m6vAoeREWCz+faazOl2TF2YRNG9iOykamssGomJWndkuCVvJ1cIZ+zjSz5MtthFni4HP\nZr3R1ZDLNeGocuG1q4gt4pFtMY+Q0iYs06id5B2jdhzZc8OekZaDuyOFI6B4N68CFduvkchebCGX\nHSdy9nTzRDfbeLt53jx1JvazGLc+e890Za+/ZAPedkz0Ka5RMqWM9JLhWbNQS+hkahzJe/MjtHb/\npbf93GActx/MVzFLy016wkf5CS/0CRMNz/UVz/IrnqVXdPO8gnSL5S9kLImtRs+UOHiznG2RjyVD\nuQL6FugrutXHo1IvsAK/XOyzcaAumblc7D/CUqWlCJ+2n3jWv6DfHXmDD9BR6AdbuH13mtaaODXz\nt1gXC+DzupTMz659oWD/t/5r39d+5iCsUSCzhYHddowvesaP9pxeHJjyeZ24cX/D/KwnPW/Izzyu\nyRw4cs3N0u/kYM5SubJiWwXQ1+QjPXMsOs3oUUgfBeYXPcNHB8Z2T7zuSNcNeu0sRhpfMkXNxGbR\npa2d2DEVcAd73mpE+4zx0QJE8Yy0ZwXB7kqKWcNchIWZ7EkiWRyzC4uwWp2tJVtXBoIkOplNa1dh\n8i1Hv+c2WD+VlaGO7BnpjCvfOI635YoDM1nSGnZW574k+oxFQGyqzCxWwOK4021RCha1JkvdY80q\n8KQl4U2RC4czsKHcSvEG1ClJgGyRPssC6bnEeS90myHClrASMqjYIhlJSDEQJ1nVsGWlLMhelwJs\n2VnUSlZPUodmhy8xdm42zZxSSCxhTt7Bd5x8z53suZMrBtpSFyrRuIku1DBOXQAi5MxORhoXLWJJ\noYmZZkyEIVsFxs2cAlbTpvOkJjB1HhWhHSNhhmYwjf+Mptg6GEvavzalTHJjOQPR2UIqaxxXJviM\nSjbAjkJ0npPruZUrPpLnjHTlkDNXHJfoKuoaE3VRIyeLNixgtMuoa0mHagk8VOR2y89ve72eAvhW\nAkEsG7oUQRRYKD9qUpzbbOuiR3vgAE2YCW7mkO6sLn0RTJYTsHm2NyGaUoTWpWz6odDs/xd+5bXf\nLdRC2W514RpnX2Pt2zQxfrdj/puG9DcO/lZWiV093W+Cfg30p0td6av79WduuOb/5ceWnnFUkqf2\nduMk9ZrgA+BvgL8t/SnwU6X/JKSdY6TbROvv7l3dUAB1KoVMq2DZWhbmHH7GS55i/p1YwihHrrhb\nOdlN4td50lVmxDMXsmgqvg7vlM7PJB0Iqkt1xSQmEGoEUN1WOsacyR5HWCgzE8Lp7Nq2mmQVelvn\ncv2N0VIzTRWkFdbVrIVJA0cpkVCy39ybE7sSldVKonEJ7xLqzRZ2kvACDdlK+BaUyM4oriWuu4I+\nxoNTfAYIhToSshiPPzQ7kvfk3pGzNyqiCC1HNmpKRzod6OJIl2ckCSQpC4Sva7K6nJGsTKFhbBvG\npmVsGobQMThzCs/OL85mowXNB0HVuFWXyCd15W+1dWzFZSsg2Oga8lf8SAiIz4RiVblsQOpRgreq\nlA+ql1vQV6NxYhcYu5bBd8xFAajdkdGGkswFaQe4RNOM7NojT7zZaVf+lq4d8X0ymmZXEq9qXoCI\nRdKp2LVEy2B2pSqnDHpeF2dbG6eWIa7gXoH2Aa4k74TUO4si2jnAfAVhyviawBVYK7Bcr3Mid1id\nnDrHDlyd63I+eVL2qTV5Ko1zA34HobG1aJv7Q/tM2xcK9n/Fzy6f17iS1UG0cM+bvzKOA3d8hf/E\nWMDxOt8wveyI7zbkv/Lwv7OWHK39HSxu+wnwY/LAWYQjez7gTd7lJ/hbvkbCc826pmfNpN1zXEHh\nFnhP0L8B/g8snt+BXIG8DaJC1sCsTYGm/QKAdt2yUCKVG95muFbg38b2T7RFrz+WOj53tCVWvgqI\nbcXKrWZfE4RsHVdPLzOzO5KcqRiTazm6Ha/keilattVtt+NOC/VUqY6IFqd2xYJ6/+oVzcsjfP9O\nC1b7yJNsLrRQdqpMdCWx6YobrhcN35OKECpWQq1+WbhwwZasUy3hmACbCpyQi0gstfFldaRWiqRa\nc3WlIdQcdl4zQbIl/aDLFjKpWGSKECTSaCLkbLRNvIivKHHtZiFkJCScjwTxNDIVLPB0OtGohUpK\nLiGiYvVxqKUTvCfW6pLiycEW1FPvyY0/U1x2DFZnpyyUXoWJhpJjEMxqcLoRKno+dqXQKGUhoSbP\nEPNSjqOuQDbTcAwtk28tERGLdhKXeepeIApdM+H2kcE3fLh7incR5wvdNyakrhlQa+CEMoK65nB4\noFdNvi4Sni++39ZLLIdTin+lFWIvJpxHKwHtbhVG0/i1Be3NApAJixwqyzNS6ulUSkm9EHfeLKCd\nJzVuKWzns+VAyCvwe2ha6NzqPvihAPt/4seBqrWvPOIKLaYpXeaTXnGLoAt/3OTIeNcxf9CQvuPg\n/8FmauMkQ7Es2husst0F0GRMA3/FE97nLf6JH1+A2CbGwg0baoVGZ6b54NCXAt8VeNdusHwF5BaL\nYMhmnqHreT6ubR2a24QnRQrnX60/I2RCIX3qLF5eW22JUEBzX3h+YS8nJmlIzqEKd7LjBU/5Ll/i\nQ57fE4lhjQOiIW6oJ6WWUdjeP/NB1MXF1/LE9X5X28VCOuNy7VXbN9+MFP29XxyyiltsrLm4tUUj\nXiOaFbI5Sl1Wcs647BbwVkCkwHKpu5P9ZeiHLCA7E5gKDafq2Ser1LiPJ/ZpKMsn6uITmF1jyT1F\ncKLCXkZ2MiCMhJIERo3MEQvf612i1bEUw2oYfcfoTMNPBPo8sEsDXZppY2L2Zd3a0mfXsI3SGum4\nDVfchivu1KjJL6fv8nb6Z76cvsuX0z/jxY5j3ZPdxotZqJI2Wj6BbasKW+ZSAEk0ZEKe6RU0rSVO\n6vbGXfO+e4v3/Vt8171FIPIGH/IGH/GGfsieI2PXMXYdH11dM9FxGE4cxqNthxPOpRVky3IRAlYK\nwWHlqOrLUbfFAjiriV/9DZRtvOiVlqncfsQ49o+AD0BHyM+E/AzSE/vsJsVPYhm2k96rxZ/EMbiW\nU9dxuuoZ9w27NFrPIzsdcC+U5gBdBzt3boR8Hu0LBfuXPLUXviwgnLVqaxkvqST/JFIKzKlhjg0x\nNTzhFXt/4nl4weB743IzaMwwRXSYYBLj91whwm6wG1YS8Wrbgv2Mad+3XPGCZwCLQIk0bKtTLnAW\nxepQ3wEvsXIMJ9AZVDlfdYnz89a2ljOzbf2mJi/V+Ps10WqrE28Lot0/fv2FoGxXiJoooasSzHGr\nxll7iTRii4wcNk7uerzLipmXRS50EUMVzkvd+dV9u4jxVfuvV3R+T+r/2rs3lVLDyRLpcAttpYg5\n5EUsPE7ypo69rMXuZCu2VuViXf5QOBduVVD5kqdsmb+NzCYcvYlfcyK7UnLBleUYtayZG00IBGV0\ngRSEU1fmtQgUBFy20sU+J0I0T90cIDeeWRom1xQe3CwJ51IRKgbykzQlNFWXjOaaSLcGMwhdHGz9\nhylZNcZlpS9H9IEkbr1DUsJya8hiNA3Wrse01Vy0bfMVZ3xJVKP4EShO510zcR3uyE2w/AhJPMlW\n22ifzbHupIRrukTjZno30epkEWLRngNN9m5tKZAaTUWJrjoD+7rdOlw71qUIG9a6BCXO3g0WYulG\nIdyoJVndqfVYrnVU3I3RcvmoJVGPNVtbWa2PHUhQ/D7R7GdyC+IircwEnXExIROEGboIhwxPdV2d\n6rXrJn3K9oWC/S1XZLWiSjEHknpiDrbUYOleEjE1jEPPeOoZh56BPW/0H3HbXzP19gKqKqoJ1Qh5\nspzjZZq8mXATMMsC9pdwWcHeIiAswuWamyW078GqNUnQSaxUwq2YQKmLUcDFeqrn562fz8uduQWK\nqiMzbMB12845+QeiTx4QCRXwKy0Ua5aoCCKZ4CZ2cuS6lIi+zKC9nAEbV4XP+9cHbK6ghp7WZLEa\nClr3P7dGZHPcDiWQ6DlxVYTG9hcTLR4lSSL5aAvIlwVCajRMlnq29ejnNohbrtQtd6KSVKtjPjrP\njGN2jqnE8C9LLzq/YE4gErTkU3ijW6YmbO5WOb4KXZyXCJ9mruf2RNcw+Y6BdhOiYc9HvZdxmQ8W\nseqKoFoS0ThxxS3P8iuexBt200gYleyLleNWZau4iVc6sRRgk0mt9m6tQ1OijZCaLV0YlVLIrNbs\nkQSHPOJ5wcEdecN/gKC0OtKmiTZPRk15sxw7P2CZ1Rbu2BS/BuVYyypUWzAvn23RESk+CQFRq3be\nrj4YdsC+OH2rVWAPKhTN3I1qNebrdFdnbokOcgm4U3vf7Wavvdn04kOQVglNhDbjwkyLEFKmmS1k\nl6PiB2gn2Eerj/NDBfaRQFZnWvtcNPfYEMJM00RSmGmamTg2pBeB/GFAP7IQB33u0ecOfcNZmjkB\nXWa3LvwtZ31LHWz14bpNOGKJr57VHIlRDKhqQS8eOMY51F22LZyd/74C3nYpwnWPczCX5dfnPPx9\n30bVpysddjnue4GSZ4LnIRB8SDhtfQKetNTN2ULkFqwr5z0UW3vl+vOyfyi00ENUV60QWsv3Ztwm\nyn6kkwnvTSNOHsbgyYXHTq4kXhVVsF6Jo9JeNsNVfGzvlyfTcyIwc+BoYZNEgrekn9HbK6lFvfSk\nEiFTnL65anp1taqN5K88SNGKTWPPxF6JThEf6fyJ7JS2zE+l9er8VW68ZdrMkfVIWKyfZ7zgy/yz\n1YnxE7tmNP7dCd5nGm/r7Cak1M4vtfTVciecZKveGCy0NAbPXDpgPgnMMnFJrRxCEQpm8SheJnZE\n2jgs8+/E6t1E8SWrXdZ3betErVRs1dLrd7p2BebQMLXBMoLbYCGuY6QdI81UnMUty+Iy6oxqdZll\ngfSq4S+UT/URVHhxrDkDdbsN16xC2bSQpQ6P9uXd8bbgjEuJPIEOCkchn5Q0rfXsf6iqXi6pONmR\nsyNFT4reHnqvSHnocnbk6NBZyhqOasXO6lJpUKS4p5Sns+22if1mWSbvDIC34G8p/1WLvXRMQp38\n1QRfVjzapkM/+Pv7MHj//wy212Gf/5rN4S+v4DxVio2NcA7Ul2BvYZi2X8IWAqmLilyO7ZIE8aR7\nIZGX49Ryr+tv7N4/YCVtVLRLATOVkNPbUkdIMd8N3Kz1eSSZw1Gw5CWkaPSmda93LW+OXEez2ht1\nduuvqpemLS4zYY2AQUtZZMyOFym0R82ELOGRtd6LV4vA2YKJZIurT8Hq66TQlFwIhzqj1kyQ5GWU\nC62nq1MeWEJ4R+mIBDqdLCM833CtN/hkFIUvq7+JdziXDEtVcVoc8mpeI4BWUklGi/igRo/WBz85\nex+jIHPpWchNScwqyVleazG2SBsTKlLyPgLRteY7QZfwRinzaZqyLYsoNt3nQegl89WStqSE7pZq\nmhJQL7hWyZKhrBhWK2RqLl3tUqoFsGjxtdfIm561dHmtVFa3W72yAn0VGgX0pYzTJcUHcEeQk/Va\n017LWrSldNMGPz779gUvS2ix4EvxKFfS633Eh4T3Jolzn5A3IrJzyJsgOuF20Xpf6ro4tfKlDUtV\nyw0+rs7aDRhvwXYBG8Fe2hrVIff19rMa8qK4Uut6OcfFeT5J2wqfSyHwvdoWKqu+93HnyJizNJWI\njeRW8mJyLSfZccs1r3hi9+VCNNayx+YUPrcB7Dz2tKfNeT1WU6dnAGQB6PuWygpoW0EwlmicIwdu\nuUYxp24tENCVvAdf1jP1OZeYd7G6OEqhcWB9Gy/PfV/4LtRNgXwU+jiVPtPFqfgHtCSBmZYaXWOl\nFhpbjKfN81JALeimFEDZRme17SsHXzO0E34pDeHPxHQiaKltlK0Uhce47oPcFUe4o1vGOtHFaJZG\nTd7KgNQQ0GSht2rO8JNYet4kHVdlgfUrPRL0zuruR6WZI6pTiZ1fyyGoCvOu5Sgdp9Bxch1tmugZ\n6XXE55EsnpOUHA7ZMUuglzUjo2M0ha/R5ZZl2FS7tLlzo/kRXLQxtDkShkTvRtQ5tm+3lUwo2dNV\nUSwx82IPwrpU4fb+VCFQV7Fym302JQ42L9q6Ld2hhDHhb21xdVWQDxX5ENxRrQRFhqDQqJ3u3Kf1\n2bcvGOzN7HfeHDbRB1KecS7ZghCuOGmDx+8zoYs0V4EdR1o/EILVumFSA9sW6NUy2bYhVcrDqxJe\naL7VtRhINDJTHaTr8n15s0fpTu0ObZw+Wh6KtS77OZTd19cdK2Gz1n9h88t1tJydf23nmv+5bXBO\nPd2jcWqoITXCJxFkXpyf27Y6gldaauX01/Fvx7ylr1aK5r61tI5R7l2/5RQMC8hnHDtO1BpDE63V\nAcoJlwSf7N6oV9OQ3LlP4CE6rM7aOpbVl1O74lDxZCk8vbfENXOiGmBbfHtRFJxRFaMTYvaMbnWy\nby2X5bMUIabxbJoeAvsqLFXWMFgwa6teSKszIUejV3JxOHux+jWILUTina0DLY65KAGK2Hq0WjwC\nWa18c6x0h64rNum5dWvhkbZAeqOOnKBJRdBlqx+UBXMO12dSfLFWmkV5UElooctErCrrtgQ1ulr2\nSlG4JCMitgCNq6G4lOqnumTeMpmQIGFJW2WpQy3sb60Xtb5F5f9L9nCtgX8G9A8B/uZvN6lVO6sR\nQq9Y15wFvBhEHcouterlDwVn3zCDmKnduJmkZbUm2UJDtiQo58iNff+EV7ZCFSO+pLUTMMDdYwkL\nVTTWfsUK+K+JfpSitVpxrhEhl1rxcYGyFfBLq3xeDxywpc0K4OcSr5yd1VnPso1X3wqAc9Csmu2l\nRg2cn/tjWgVPuUedPEQdGcjURb1rZuxD/P6W/FgLQNvLuiaEraKtCphKDW0thBXwzh3I55aEjaBn\nuDeWei2jdqaZ5oSkSIiUMsUlqaXwvZfW0jkVtloUW82+RjCNdLawSwicfEdgRyBxt2Qz7zlyoGXk\niayZ2Z5k+/nmgfHbts1Gt+z0RJ8HBDVtXxpmF8hyH+xr1dat5XHuCAfEId4WK/ewgru3ejtpU844\nSlieu1pC3JNp80wXZ7op4ga1+PFaKiAVpaYrSk4H2qqVtXATOz2iU+XFdXHgqlNajfRqCkUtsw1r\n3kknI8lNqJ8QHlrfgf+Pu3f5lSTJzvx+x8zcPR73lZlVXd3V3WTzBZIbcQYgBQlcaDDCYMAN11wQ\nEgmS4IYLLihQmNmIGxKgtr3hHyAMOLvBbGbBxQACKAx3nJUaHD5rmqx35n1FhLub2dHimJl73Mx+\nqNRVAugN78jKvDfCwx/HzvnOd77PTGRKoqdapCqKXEXyziCTaHuIGBieaaw8jWVwa4B0Cfmi1HdF\nRwo1ETgZaabjNeBTobh6ME/zmHX8WVsZVkrmiTN9++CMchnEwslaav/z2L7QYL/n8SzYVZrYeQiy\nbJ1+M+4AACAASURBVERleTguuW/OUT2mleJCQjYZuVDkhoLts6y8NdiX8WeA83Bi9mo1g9zziKDF\n37YGfG2hGoDahS+BnmtsofkOi8q6LFvY8IvH7pugm3UgenOYXmAcPbu7Xi/+6nuEVYh2dRDIWcP8\nUfa8FHODesXNWXBaSyPU8S6Da85JmEtlUVuJy1nuS77y1M/3fGGrQXf52wrj1L02aPvSpB1kBKfk\nANGJuTsVf9bZmxbQ04V2uQuW+qdeH1b/WmGvah9p/YHckgKHGcJclbMSSO24ekZT/MyzpaOZgkGc\nQ0ZGNU6Gz7siDyGVMmlnz5EbJODVJnYzWl7d2XlszC2fSSJG+9SKPSgqis/GI8wi5T6wAbOlBqw8\npNzUXqkN05rkKGS/wueHQOqc/V6ZLHaSIBqEoqU6cM70h3o3oSiheDI4ze3V/AJMJjrEArOVark+\nW67CUWW3fyrXUZN52RbPgGZqVKfrS5WvPWhv1U4OdharRaIoHGXDo7/gYXPBY7okzYHL8YGr0z2X\n4z1X48N507j2FJ4OblVzcWHpBaz6D95BH8D30G+MVAiW8X8e2xce7GF5oNaBbv3wn5W5SAn2D2w4\nWiCW2Jxk5ELN+3sd7DNvDMLrUFmHlboS7C+5L8H+UEw6lux+HXRbsL9QuFHzn93xhmC/DuFP/7zA\nB09bhW+mOi7ASQ3DBm2c+/U+3RZRr9gWMC+pfV4kcJINd3LFpzznI94+a+IupikHdhwB43Q/bbJW\n6ZB1suNYgmPN5PyTbK0GekdmkUmzjPWBPbdcc8c1t1yRcVwXAQnPLTsS4oxfP6tDgi8yB771Jl5n\nHtVPPT9HdZlxq3tvCX+LimfP1ExknvYblmXLAsda9MynlXR2xeyL8cgcAie3IbplpiOVSKJV42CF\nAyOKaj5boVrlVRrT2dnktGCqpqH0DUKyBbcGHBXI4q1n1e7J8uxVqM9hPbbWD4HZhyacdwo9Uwgt\nGaiJgZJt0A21V1XzVFBQVTw2Ueo1F38F06f3k7YdsWCcQznTYtm8UxrryU6FFvkLkElbRt4kE9Z9\nvEKlNONzMaMYtC0cAGPoednd8KH7Eh+6txnThi/ff8iX+RA/J67Sw+IvW3+pUC61Vv3l3Em95pHz\nxaD0/UIJ9jrQuJdvMn3/QWxfaLC/5hY4z3Cewhd1Wwf8PY9c8sCuBnsSrsu4XUauFJ6zGI7X/Tln\nRuDrh74+xHX0fs9jOTblkodVwD+35PMkW2R2GbnWxX/2ArtQ1eSauvAbo+L1TVsYrrIJNVOrfYM3\n76m9Ljn069IGdauiBecetEuG7UnsOPCcTxFMRfMpxr/AKrFgw9rAr7FkhmeKllT1yGWRgWU46zst\nTkt+6gqP3BSt6jk0T4DF2NCVp7NBRtIt50KW33uauy932XIky3m0W8dsJE9NcK2K8Ckw0Z2FZFfO\nQVzaqLYA6IzoTMiKz6+Liz2w51N3w6f5GZ/4GzKuydyZotIRBJI6kKpVr+0GE5RIaFIYVVzvKUx1\noY/s8yP79EifklUUTulcbJo7NnthsE4k4AQbVBNnFaD3TCEwd4Gp65h8aNLfk+tIOIZivWGLfFwe\ngkJkUCmSBEWJNakzg+6UCUnpUyq6+bTm5ew9o+sYQ8c49AbTFHqo00IVldSqCU82u8fZgr+PuhiL\nrLKRamYiOSNZWgO3vl5zpPfv88zd8kPu70jq2emJnT+xG06LHENl5kxY1VOlE6p0S1W4rAtDTRRL\ndpRvIQYzHY8nyAe7vJf584FyvtBg/5xPAZ48bJUTcZ5zrYPzrgTjCuV0MhP6iN9n3I2aPs3M+QP1\nFgaz7Gjf8ikY4jCxrwvuecZLQLl6AhnVbCUw4yXi+4S7yMgzhXewquIaW1RasF+HrjcF+wUqmOgb\nVg4WJNdGH+tAHVYLj7TM3j155+Vb1gEbw2OPDHKyBl6RKajff88jtSE4nQESi5JoYV9jVb0tSPZ3\ncXUctTIr0EP5/LqwvlYlra51/Zv6t55YJmftdxUp/Hc7VyMbVCdEKfzwEkdrNlWmVetdVLcKjRhO\nqyvYxDWzlMp6kfIzayVNocgklJ+XsnBntTMKBgUoUrjnpYpcafigSnKeScwV68iOjDT2kpY7BCjz\nAnZu16h/bVqv+wumJLlUfnWeIYrJKczSoUK7myY6kpZGryzPXCK1RROK1n4YOHQbDv2GyS8JSk1S\n5kJrMeXWjk4inS9DUq401UORaSi9gpyzwS5RCXNeoJnabynVRFVATeJLNbJQ39fps4A5pvlE7yIi\nRvxYB3rapDXt+y2QsqUXgrLTI9t8AKwqcVgvyNVeYUUR1vLJNcgr57IMNQTUxa8wCLXDPGiBmCDF\n+jx8PtsXGuy/xAdv+NtzLsmbtg0nnvNpC/iDnOiHmXAVkbfzUq6ttxvgBZZ1NyPwpYmZcHgiWw5c\nc9sCWxU+M3OScRXwC+Y9JNxVRt5WKxUvsSqiMILehEm/aVsPHQUikYBCCZDm0Gn/WwJ9PQZfgrVl\n3vrkM2ugrdTHES0LW/1e39lw3MThDD654pbrBl/UvYrCmW7QxIbjk/eonY6nuHxe5b4FTmBpkFKO\n27J3Y+PsyriiYo3TqWh9ntjwyJ6rdM91eqCLIxdpJDrHFEw/Zi5N/nUub45aiaBGY/Q5EV0oMhKW\nPTtVumyG212Z9NRVZqhIkSvoCyOnx2mi15mu0C09yXpOQTiFwFG6s4zUkfEy8kw+Yese+JK83xbb\ndXX0FM6s7fwlzOVm3FOb2U+rQZwxhZIX7nTPQZbreydXJHwRzX7gQh64UOurqUrjpEf1jDrwqHvu\nuGAmnCUiDpP3eOSiNX8HNzG4kU0wNVCHFpNw+xauNNdzdoWzvzrHRWc+SMKJWWxenqRIYGiBl+z9\njm7DyW04ui0nt2HjJ/bhyL474ocDvlqS1eKuwFI5uDIRvFSyJklt1WzQ2HafkjG9HAVDYoFtOyzR\n0+X4183syl5qASgv/14nkEPpi9RRoc8Jxfnewf4//If/wG//9m+TUuLXf/3X+d3f/d2zf//444/5\n5V/+Zd5//31ijPzO7/wOv/Irv/LG9/pR/vozHWTP2JgOV9ybiNTFge7tEe9nuCxUjPW2T/AswzNt\ngknK2nXJLrEN6mBlM3IW2PoVBhmYTctjn3BvJ8QnuEiwyXCj6I0aM8FRNH5iw3jXWb4jM9GhmK79\nS54V2ODQYK6O2LBuKVn0vowXbTk0SmINglKgg8p4qRWAFRvGuDH7xZGLbI5cnUZEM52LDDIxu4X5\nUqG1CilVZ62l2rGANtNxYPdagDEIJ5DKWYYFxqnv2elErzO9TnQ621CQBEYxmV8pgd+fLXALLJXV\nsc0mKdzHSJjNelCRAhlQgJYlY60LoQVdC/iqQodh1JWP6rBeQMaTlOZ1W20BxQt4Z6bUUs6aFrhM\nLfhZs9UvGjo1pbQDKucksieyz4/mRYBp3kzSt8Bdv29o2YyslgQ7OxXGc2Q6nYvcsu2pTKrW+Qpf\n7i2D7IREYMOpvf9MoCeQiQbjQKtslj5SbPdZdRvr1GjVST25lFeKcBQzsjnvapRr6zLeZ0IXCW2K\nVlvQlGKg4nI2w3Ugd0LqzA2OYM9acJFeJrt8Hk6bntkF7ocLuikyxIm+mLmEOJuxSs5IdLgx4z1k\np2SXSWYaYA1s0eLz66DYK2rCjGPX1cJTvfo3sXNqYyvS6JeSMNvHAdwFrQKQz4mO812DfUqJ3/qt\n3+JP/uRP+OpXv8rP/dzP8Yu/+Iv89E8vUsXf/OY3+af/9J/yB3/wB3z88cf85E/+JL/8y79MCK+/\n9U/yrc90kPUG3ZRiNTnH9vJA3x8Jz0bk6/PyILVvFqFPMGQYlgzSaH65ZdEmZ/zQAsI6KJ93Fqzk\n9xcR10XkJsJXZ/AR7TLaKdpZfenEePuDWMBecH97PbBFgEd2fMiXSjB/5DkvUZxRVLFJzvpg1qy8\n/rk2UisUVI+9ZltDqUY2jC0wdDqz1RObdKLLsxmO+9GGkMSMwbccW6UzMjRooQb7jFuxZHbcExoR\nsS4q69CwXjha21eTDR2lkg2nSPKeR7fn3l9w664R0ZWN4dgWmCqOFogMOrPJs1n7zYoqBBfBZ5zG\nUj+s4Ya1pSLtnC19hmyZp5cCc/RIVoZpZkgzYYoMc0L6hOsnM9V20UzMn/QkXHvCtVVhVYojSjCo\nKMdWDSR8qxge3Z5J+na9B0a2HEuPJ5Bajbe29OnK5G4yq8yc2CSzaszOkb3JSAxiidNaVHs9V2B7\nLIuEgDPmTr2fdwjxDRVEUGsEd+X1we15kEvunaVpWdzZz/dMSMiIS/jgcbn07qqchBp+7xK4qTRc\nEfLOkbwQi9Wiw/STas/g0O146C54ub3ikQvcpDx7uOPm4Zab6Y7L02wNYOOEWqbftG0EOltQYidm\nYh6Mtiopk0uPgaznQR0WTN6v9srYqZiTYFDPA6bJk0s2v8N6f1UN/P+PYP9nf/Zn/PiP/zjf+MY3\nAPilX/ol/t2/+3dnwf4rX/kK//k//2cA7u7uePHixRsDPcCP3/3NZzpIEUVCNu1vnxl9z7PuU95x\n7/P1/u94la5bwKvbc/mEd/z73PhXbPyJoJFdOnKZHrmID1ykxxWAtFy1ihwLNoE5+p4p9Iy+4+g3\nbMKJG3nJu923ud9e8FX5Ni/cx+z8oTgveZvqmx+5SCc0uTYs5ooF3oO74co9cOkP7N0BkXwW0Lwm\nC2BJjaEQzZbO+yIW52Ym11uZ66qJhtLPkW2c2McDu3hiDp7YeWIIzMETNDLkmSHPdNEyVT+PDJK4\n4MRMx3244N7vUe+YQk+XI7t84jI9cJEfcChHb5aDJ7dhdp6Nns72VIy7Y2n6wVo90/TZuxTp5kQX\nlS4q+zBCd09HZO/Mim8dHLymohJpeuDtz2rnNXdGJ3VkQsq4SQhVARNpomhikcQWb2fOVUETIWVU\nq11jMf8uJiLOJQiZjBIdaMg4B0EVKUDrAtOoYR8ibagpizOBMzH/4KPbMuSRfTri0wGfZrxkkp/J\nfgQRC65lwXalL+A0G1yk1ixWPV/MGuTjhAfZ8+D3dKlIFY8zmxzJTpmDmKBbAJzS60SvY1NvzOIZ\nu8DRP+PDzVu2QJcK5tl0awYpFdJwdi67VNhHMdHFhPgTXVC2fuQq3BVIrYByJXMORLxLJGeWjKMO\nS02tPZ1E9pzYyZE9pwKRZSQK4aTkuOD8dQ/hSB8y227ksntERNm5E3t/ovPzOSPmCTtGixaQAm5W\nulkJJTEUbAHSoMQAcsKkD6L9mcLyqW5eLbhUXL8MdrXG7lpiOa12WGCfH/D2XYP9t7/9bb7+9a+3\n//7a177Gf/pP/+nsZ37jN36Df/7P/znvvvsu9/f3/Nt/+2+/4/t9/f79z3SQ2Quxd8TBEUUQn7n0\n97zwn/Bl/oFbrjg3yYAr7niLj7jk3rj5ObONI1fTPS/GVzyfXn1HPL1uVgruue/3pN4yvt5PXPlb\n3uZDDmz5Eh9xzSt6Jsu0U6CbE9txasbOdZWvRgzX4YHr8MAV91zJHSoGI1XXKafZXOmnie04sh1H\no6B1RkNLHSRv0rGCvScZfMwMp5n9OHI5HpgGz7wJTBvjnnuUTqM9mMmkKkxhcIZcYI9eiH3g2G/J\n3iFZ6ePMfj5yEx+MwdRN9GGg7yZmDQx5ZJNP9ppGw7G9mYNEF5qjky85aYdNVnYpE+ZMmGHDjHOZ\njbeGOVA42AU6yHlZ/JL9GQodzwtz8GUK0hgVPi5cujaBKTRVTPXWQHUlW6vMkCwlmwueKOZ25bwJ\ntSRvAKsWV3QnmQYJFyrgMom5bkArJ481Zf1QjGQcvSaSTpCNy9+Jjf2LarsXarWQcUZTLNOxvtAZ\n7cPtJYnjJIZhn9yGUTZs8wlJJ1NbnGayz+YX25fFUaxHYbstqvfugodwyYO74N5dsE1HruYHruI9\nl/HBJuF9wbu9Q52Y7EksTJgollAQ2fFoAnUsMwRVaFALLcZgqYGD7jjqloOaO9nGT8TuHsURXEaS\n1Wc+KzJmZNQlSBYsPHSZYTOxzwdbJlWsAgsZGZRZPNIBQcvr0rDNxcxGsgV7Pytutoa+ludPO0ih\nVBtaZBtOlMVCUGVZSIq+D9lYQU+H0yjyzVq194sSWkWyftDbdw328n0QPn//93+ff/JP/gn/8T/+\nR/7yL/+Sf/Ev/gV//ud/zuXl5Ws/+7/978uf/9l/B//sv/8+j1LLkVYhKSqHvGK4icqEqFul6a2b\ngJoFopg+dp1Nliev681jksYrwaXaeKzDSrVEn+jNz5Y927KEe0YgLVhcWel7Zvbugef5U97hgoxw\nzS1bjlTOecaTs322EUiKPV2wEtNYDV1jWtiD5K0xWIwt6+h+WQsaZfG1xvEKW7Tvet60ysmh0cEE\ns3TcyxWfuBs+yc84ug3P0yueTy95Pr+in09op8ROcR1mNFG0h2rV4rN9Q3EZKZmUyU0sU8dSFCRt\n3D5asI+0CUnJ0lQY584qF58zXSyDOUUuYH1dVexBFY/50rrywOYCF0RaI04LPl+55UmE7Dwp2MSM\ntDhrxymCMW6qt+369hWll5mdHK0BrBPeJUI3k7zw2A0GIZUGZJAJv2rMVn5NlyN9tAWvj3ZOGxde\nDL92cmKQmQs5EMXaudIpqYPH7dBYLk4SGzGdKZ+ssgmlL7H1kRwKlVISQ5rYTUeGcSacMkEVDRBC\nQkNuC2d2jmkjJLdAd0LB3FVJTpusxMIZWvZNHNnOEy/iLa7MpKkXNMDdsONBt/TRsPc+zvQxLvAJ\n9RwoHZkwZfJshjjReU7bgbgr+v1FnsWXirvec6k2j2OmVxNw63MkxFSSKQvM3gGnEuSLS1UusE/a\nOuKFQ4e6AGZLJuYMB5AeJNhh5whxhPQI6Ra0SCz/2f/1Z/yf/8cfvyEg/X/bvmuw/+pXv8p7773X\n/vu9997ja1/72tnP/Omf/in/+l//awB+7Md+jB/5kR/hW9/6Fj/7sz/72vv9L//r5uy/H7/Pg9Qy\nDp29QSuxBNdq+/fAxWuZvSdxYstcVAGVktV5sew4gZaJRW2SuOdUveg8Y2euQNGFhm+Oq8/dcOK4\n4jlP0ptQWmeBwPDwAg0V+ECDFrOGI1fckXCNVZHwTDLgnCKhDI4AqTOMMnama3JyQ+ELDcwEFM/k\nO07dYDo/Plkl0IlpfgtN7U8dppeCBVj1jpyLVEDnUV/6DswEsYybYmdnQa/AIsZxLBhryYiS9bPE\nY4MuvL5TGl8avGmmeAyD9a5QJ5dA0dqrjS5p1zdjUMWtv+LWX/IqXLJPR671nut8z3W+YxBb0asO\nUBbHLB1j2Sfp6MUa1L3MDDKTRYx/JV0brfOSCLKaNaiZ1yrg17mKSq88O3YAZ+5UQWYGKXRjySRn\n7cr1IlyZUjUYtsa5eERc04JBigibBOY6SLaS6cgI3mULbq5AfmgT/WuLfIGaUqmAREw2ZIviiU3m\noEuzaRBV/NlZMqKFP2+DYo4YvDW1szXCfTYoZD2Zve6MVTJpSBObaWYYZzanmeQdp6FjHMyrtyqb\nZi0JmCtJj+9sdwGfE32KdNF6Ql6iGaT3anh8EEQtA2/etrVBX15VHckFps4SHxfMBa0uVIiaheOg\nODEoq+L+KgJJTJZBBA0O6SB1gtsqbgDXK74zIb2sRrmcT5hROfA//Nx/y//4P/3PLZb93u/93vcZ\nKb/79l2D/c/+7M/yF3/xF/zN3/wN7777Ln/8x3/Mv/k3/+bsZ37qp36KP/mTP+Hnf/7n+eCDD/jW\nt77Fj/7oj77x/T548fyzHWXJWqR0yEd67rjkU17wD3yZ9/j6a5j9Cz5hYOSaW1sIRMideZzMvTDt\npVHnZumZXNeaiZVTncVxki1H2TCKGZoc2POSGz7gHf4rX2Om4wWfcGRrzBMHc+/RrmdSvwhLrW71\nUTyzWBbnJLWwEPGMDDzKlrkPjKHnoBt6ncpU6GKY0dynik2fOuHQb8mdMGrgQbc2F1BG8r3YA6+a\nrCT1Fvkrrl73kwRUMhs5ImKwSi9HCJFJBUdi5+4IcuKZ+9QWKjcZxY6R5JQc1MTivC4+rVImTUVI\n6pidL+YZ9ioVFiETpHDcnS0KMx6XHT4q2Vu2lLPnw/A2f+1/mL9xP8zf8A3edh/yDf+3fIO/xbsJ\np1PjUmsJjHfugjt3yZ274l4uufAPRkSUO67dHUk8935vEIZYErErKjh1rzIfTfBOpIzIV27/uRSc\noGUBWXheroG5JSl4Ulra/XA+ZRFdZO4DfRcYNZT7sRydWMKxbtpGAtdyyzWvuCmvQi5m7ybupmpS\nBr5QQp0uK3fPSC8ngst0PtP1BjEqQuw9sXPMvSN2ZVCK4oWLx5Wqsp6L+n1qg9pIpMuCKChdzuSY\nzBzoBN4nNloXngMayuCTKNIpMQh3Yc8rf22LfrhiNx95Nt5xk265SXdF8nmiz7O5zDkxgbcEktRY\nPmXhoix2NkTWMW06Hvcd0RdabGvEZ8JsvYkwm7yDi4okMybRxzJjsXXErSNuA2nrCJtMt02ETcZt\nkuH7Vc7l8+JbrrbvGuxDCHzzm9/kX/7Lf0lKiV/7tV/jp3/6p/mjP/ojAH7zN3+Tf/Wv/hW/+qu/\nys/8zM+Qc+YP//APef78zUH9/+5+8jMdZBXFqrtm4f5wxd3hhtvDC14e3mLKwxkkEzrlsPuYcbch\n7Tw60AZZjn6g1501seSSe7nkQcxse5H4MjnfSjYzWllgOg4cDxfcH655dXiLfXdi3O3Iu4Df2YSt\nBc0Nddb1KXfingvGYnlXmSAJx8iGe8xsHFHELw8C7avZn2t5X0OKIkzS8yD7Bm8tRtNHG0ZjJrhI\nksVRaZSh7D2TDCz5qz2Qk3So2zO5ngfdL4yVGuxUiN6+r/cJH5KpQhbp3rlkrWs6q4ieyeoe2RRJ\nsSWgCnmljySIAxfUmtxeyeqZnMe7xM498kxsDmPrDniZSc4YNTWrV7HMsjpYVbx4vZs6QanAyoNt\nVaEjlopOMfnmypevgSzj7AHHiKcLcbcvdMYieczMVo+NhlpFADNSuxltX5aKwh8Sy2yjeHzR7ake\nvzYNfqLDsVndF1WurWeiDmKNjVs1cJKN/VlqldhxjS0M9nprWjdBUVXL/hHm4Jg7g9Ci91SiQ8vX\nVdviIWrX+1aubccIFZVOfckdl9zTiZnEOJ9N094LqaumKdZnCZJapSWZhfvul2ZxxciZaBLP5kUA\n6mmWi2dN0RI3wKryjKEJPoAGT9A1OaAYlkrGBW2sm2ZRmKxvId4SFucEX2S4vc+4jcIlyB7cFlwP\noQxYrQ7jB759T579L/zCL/ALv/ALZ3/3m7/5m+3Pb731Fv/+3//77+vD/pyf+X95eLYNjNzwqu1d\nnnl4dc39+9c8vH/Dw/vPXgv2+6uR0zt75ncG8jseHaTxuA/scGQ+4S0+4i0+5m0+5i0SvmlrV9rf\nOrcSVaa7gdP7O44fXPHwwTOOF7fEdwZ4R+i/HAld5MiWBxtT4cj2Ne6+jbhviXgcqZS4oUFBUKcc\nl70eR319qogInC0pCV/mEu7a6yAjnSzvWoeo6n4qwWw9yFPP59nrehOatK/957m1YV1A14uOIrzk\nWdtfccNbfMILPuYFn7TFav0Nszh7ePx64cs84xM2HPgK/8BODlz4ey55AJTpye1t2aQNm23LcNiW\nIwMjQZapYqOQWuZZ4UFFWroxaLlHdLRFU6Tw3W0RGenb93rFMx7Z85Z+bHeafsS13uJkce1VqcqP\nNpj0yJ4TmzPK7jIZ4lff34bnzLjz8No94Vn7D9QZj77cnxZmX3HDR7zd9juu+BH+ih/lr/hR/poL\nHlA329yCWLDMCLN3TM4MQ6pY3NnnaplnyEuwf+Vu+Dv5If7W/TCPsufrvMfXea+4FjwSfCZ0maDm\nTRCdZxx6Tv3Ase/JTkynP42g9YzFMlBm13ajE9t0oJ8n3GnF1ikYrbD677pV1kwzlzFKLSHj+5kM\nhKiEmNv+pueASrN0tsiEpISp/OyI4fuCZfRXIFfgduC3tsBoQaL/UWjj/D3vfsd/W0+BrktaRdhy\npAqXeRJbPTIee+KrjvS+g7+VRX+iclufY0JHezErw5btLK3dkYEHLnnJMz7gHTLurFw3/m7VeLdB\nkHxy6J2gHwH/FZvU7RW5VCQud9HCge8aLFQR2Cp0VSdG5+LKVLOtmf41TPOiTjny0IZg6jlbDw9Z\nAFjG5euxVN2Ueo5rUK7TqPdctkVw/dCuw/by37WFvDTB10vEEp6Me9Okq1fH0TFzxR09U5mMfuCC\nRwZGy6pWmfFUzsfTGQgbKDM+fiizGD3Vxs+tdIfqTIJfLTn2msW1rJCykNTpWBNTO/fNbf2EEsSc\nZibpOcgiezxJj4CxrbjHkdnKka0e2crRXLSy9TSaoxWKc9C5xMadmF139pmU71sHqV4P6zZNvVvp\n65hs94LRi5ZGMQccmUFG9jzwnE/4If6WY+lxPeMlz/QlN7y0IbGsC6W03U9dS1om+sb2D6/VJ7EM\n+B35Mu+z4cSX+JCRnivumjxJIpA8TENpYG4gipm7TN4qRTDiRWDR8q+zJT0zsVz/jkX/qfaoNFgw\n1adS6LpEnwrL1TjiJeNPGTlR9P2NINB6FqskKDshbRxpK+15dLKaL1FFBpBd+RWPTd/vMCjnyZjQ\n57F9ocH+fb782t89DUB1W7f0qvxwHfBxWZmOPfFVIH/g4G+xYF+1JxzGtrkAXgg6r5H4JWRUBs0r\nbviYt8iYnHItoeu2BDpFJ0HvBT4R+AdM7/pKkbfKtB/rAa5q0LBusy0G1Gs8c2IoBe1VoeadI5oZ\nG2TZcWjZfS3z1xxrC/ax3K+10bdoz68DZmURVdP1By6aPEQPjfa3XgAWmGsRhzu/jrTqpJ6HenVT\nuUBVN8fopmOjx5qXwEztX9S+xMhQssclzLlybPVcAG2JsYVgOesNKyZwMoHkJoBhDVvTlKln5P27\nkAAAIABJREFUewlbYbXILGlC/W7mYRyaHPOj2KKZcYsEAQ9lOpsWHGIhYktOhvNGW44k2DnvZSKW\ngKars7sYqixNzbqw1kU0sCiNygpGqf64WhrSiN0fvYxtcrs+JZ3OBXYqxuDlPUpvslQyXblv9pwY\nVt2jCS1Ut5p4oCZ58kI/4Zpb3s3ftgVv1eM/sTHmjRe0W+7rvLqOvvQL1tvCyLOAb4SCMk3dYyy6\nXki9kAb7c1v8atJQ+mDReaILuKw2mzAnuhgtk38irdyCfYUAy2RvLD2M7LDrmpQQBYnaKJlS3fVW\nTlg2N/FaePyBbl9osP+UBct/U5BfZ5zrwHxiw4Yjl9wz0rNVTzp58q2gHwq8h12Awpttr/eY9HEz\n8jkP+lWb5oELXnHTAnB9YAZOVMndjLOG4uzQo6D3wKdYE/IRZLQGzfr7aAnS60HzddioN27F1xWb\ntt3z2MTI1oJkNYupmWwsd09tgy2Z5zmrowZPj8eV/1806ZcjdauAvgTOxZDEMm6P0J1l2Ovzap+1\nTHXaYpfKt1kWEDv/Sx5Yg1NXKpbqSGXfw4TQVsZ9VHG0paaQFhbApA4ox13vrQrROGrT79gWsYRN\nBitytkDUa1LPhaeqRW7s512xMhRPx8y13CJomzqu2jFPs/BOlhF/56romdFro9TgtkgxeJKFtdII\nzVXCuWamupwrL+YElwiQU6FUZkJKJOmY/WB67WVSd6kfbd9yJHNEMB/eyjyqjCsjrhTmyures4A7\nsi2Vp03VGtZN8fDtmNkUosFJBka34eQGRjes4oK2ZKWesQrZDKXeq/f2a1uAvDWKbdxa1TuFztQ6\nQ0fyodhFWg8l6MxRNjy4i7YHEpfugStvYNeOU+PMCzS/YVav0il+sMXb5YQ6E3hzUfER3IzRDx9B\nyqveQX4wxcs4QS4OVpvPKeh/ocH+Jc8AnoSGZYWtQSphgkSR0DKnCzFlykkG09+YHPnRwSuBj7ET\n3y+7XoIesUw8Pf00V4JSzcoMygDYMDIxlKxuTRErwTmJsQUOYovJDjgpMi/l8rKdB6Pz4LRsFnxq\ndmqj5BVSqcGzBuEKbCxiWW71aWsmSG4PREZYeATrpu5ylHUpsrmExWnq6WK8vO8iMbD+jnBu/jHR\nt6rIE0umXG1Xzu+AqrpScfK1Ts/Te2VdSbRqvPyNLU++nJ8K19bFz7fvt67g6r+vqwH79/OJDnPb\ncmdNalY/Va9NaHASZ0G+SiEjirhg57vcDq2pXXDwen7t29R0cvmerpzX9bVuTCGsDxAkoZJaUzqV\nOQyHLQgdc5l9KDRJbPBNxPpIJ9kQKvVUEuKSHU9ZrLacLFnJJ7Zqw3XbfGpnXjHWGwLrKqXCY04z\nIcei3V+u8UqLxxcJYy+lqhRjxeDsHhKpdogj5MLo6jLJC+Ng13d2xrabXG/KmRk7/2VILUpgdAMH\n2fEgFzhnswNaaMazC4TJZje6aNPbrKdeE0hUfHl1Rf2ysDKLCT3LFO0JOBjVMo4wTTBFqLYHF+3u\n/cFuX2iwv+X6DQH+PJw6sgX4PLQR6lEHbtwrDmKskIyzAD4KesC8HZXFFzYBJwvKGqVwyJ/mL8tD\nPRvJDKBlozUwvhacM4uOdXGIr4MV3ynZ+F5bLXfXgW3NSY6E18TZLNNzDbe2Tc/O6TqcLxXFAjZa\n9nQO01Sse6bjyFrmoAaC+WzRqYvUekGoXY8KlS3n2xDX+umGiM8tBOYSoGqQX3cJeMOxrNvI66rQ\ngvY5EFaDzzL8Zo3QXWkOmob8qf1GXezrorXenjLFLahXCm39rIVNE1cVVr3WItaArEYjVlGEhRaJ\na5lzliU5WYtfKzYd6siNtvo0kZjdKmAW0xNP5IIHdvKIUyWkSChyBz5nJt+1/d5tTGiMicFNaJ4s\n43cjziU2cjSJkDLk1M8mzzAH08CfQmDqAsnVO61UAqp0OTLkExfpgZBtQGpRGJVFJdMt9wCi1iQW\nIWWxoS8yfR5RlWZcE71nkm2rgBLLIldPkSJkX/F10//pmcjimHzHnb/k0G0Y0sSeI/t0ZC9HQjqe\n2w4mY/jIzCKdUKQYZC3JUC9NYd3mCFOCY4Jjhtr3ffHdw8Vn3r7QYG+F/Lkut5zlz3abT/PAadxy\nOu04nbYE4DTsmTcDaVMO2UnRhRbLrhNv4KyuMe3XTAZfC/oV69WSLy5F6rJMCLkNVqyS2fOGzZPt\naR3zdK+fsbbuqw/10ihdUOg3OmjxhibiWf5ew90abim8fvbccrPC7Oe2sKxx/oUm6ltQXhtm1L2y\ngWppv15Mnh5jDYF1Err+3Hr5TwWqsoViuW+egoFdqyXs1QTvXPvUavZxz2UhFV4X56tUIB3ToVm+\n7bKQrc/nunldvxNnZ1moxjR1KXra68g4kvTt/luqiQXWGjiVsblTu17xLNg74pNrz2tnZeG7izxN\nrpJlt8kmj/vZpo+DT/Q+MvuZ6IJRGosu/Oxt/LPCSfVZYY31kEl0jNJzkA0H2TCVOZX6/QTlKj9w\nGe/p5wd2cSIX+WEt0iKzD2byrp5JLBnrdEYyJheRTZywGbA4X3x6pVBrq2psJpyXf2ScUY5LP6jT\nmat8x4U+glaPhGIHWZrxc99x6wN3mwu6OsU7227zCSxMmsLKeS021OPImIR0kZFeauXPb/tCg/3C\nGqkhztC+elvaJsQ5EB8GprsN492eURPz1UC86lDnFlx+g9U81yyONG7ZTf9abFL2DL54U8APq8yo\nBqO0Wi5qoM9GAQy69AZqU/i7bE8hpPUxrINJDSLV1GQJtucPaq2Mzjlkb4LIzmElVseR8BzZNEbS\nLdeN+1z5KusKob6uIRBlrSRpx9gmPksQrxDUeoGqkEn1eqiGKLVqqM3RhLIExPOtLn31rFQKoiOX\nKYbcPrVCdrURfVdMDgOpeCO7ttis+ytVW//p91gvwNrukEWJdF4tPZFQWe2NSVWrnvU+N16+sYhq\nxZEx5lYq7125UOe1xeJ09hTGW29nTXaNoELIiqaERMHNypAiQ/HGRSAWWYopmJWiWSiavEDCW4wv\nvQfnbZmffODkBh4LNHJku9JO3eBUmdMnuFnYjTNhfCjaT1qsCAERkgQmNajVehMnfFaIEZdtQZhc\nz+h6Tn5YDT6tFmRNTahO0DZTYHLaGzb5xKaI/W3zkZDSIqGRDc667/bcdXvud3seuh2X02Pbw5Rw\nT9zIWoVSA/7qCWTd6F39zue9faHB3rw7Xw9I6wDmyAbHXIPfRvpn5g+77+8Y+iO+i3aSmhcsRn8s\nzY22iu5YJtS+QyCuwbVJrrJY372WHVHs8YqMAT1mWrDhe07Bfa+M++nf2yBWT2Cg6rivzQLrMcaz\nrL9iuMv+FN9+utVm3FVhY1QxtspoGRmeVAZSmmVL9l910Nfn6xU33HHVuOaBWBjnL7nhVWkArmu5\n84qrwjH1+vSF/vq0yjlfAi2zH1ZQV20s18EoEDoi+2KK0jNxxV1jOFV0vC5UdR8ZWHcLns5iAGd1\nSYWS1v9ev9dUqLV1M2DLuP5zq0k6jH01o9AG8J7m7NVPoFoTKsK13nKtt1zoA9d62zLd+upzJuRE\nSCaIVwOgeGXeCVG7JgrXGoyzVbNBMllik+WIXWAKA3MIJHcidY4cBLIZnPdu5FJsDqAyvurxKo6t\nO9L7Cd8ZBJaDIxZDkdi5ou3fmRREuUdmH3CuB2+mKrMz56vK7lk/T625nYp0Q85oFia/4ZW74aW7\n4ZW/4UrveKYvea6vGPKEy8lgmZJuK2WqVntOuuGBPUEzg85EHU0yovrlFjmW7GgVhhavBH/MeG90\nXT/lRf3y807p2732BW4XTQ1nwVmBVaCz1xAiXZiZd0e2dFxyzwV3bDkQmI350imypRh/swT75cMs\nGBeN+Tdtbw72M+sCtQb6FlJ8+eyNwl7tM6qs6Rs+500Qy5sy73Xo81QN/NeHp6oP7QKNPM3vzvfX\nP2sJ3rUxvOVExr8Gs9Rs8WkgXmPPoQTVpzBChUzuuKJaI1Yd/vqe5xVWZfoscxbrgC/o2ZBRZess\nbX1ZnT+7fjVAro9vKNKClfttbPsjjtQokYsZZdcqjPWZrPfMukpbQyyZ6jq1xvTPJ57X0Fbt19jg\n1FJHrM96LM3y9Xsu/QnL+FWNVtjniX1+5DrfEl1o+yydJS054YsxiCBE74tuuyM5YZgi/WjY+5Bi\n0zhqnr7eeisqjtl31u9yFSS0KylAULuHUdjpkY1YtVilRS7cI0M4IRJNUtqbjWPyri1O9XPNHMW0\nf07SM/nu7F5pz7MuTmSdxmJmrmaEktUWCOk4isF5L3mGIvQys5WRvRzwoib3UO6ujICU986RPpoH\ng08JlzKipjg6hcDUe6Y+mF8uBgU5zbiUy4R2aU2vIJzqh/I5Kxx/scG+ZpB1WxpsevZALuwReyQu\nueea2zLodCJINOPvbV4Mx58Ee70BvQDdFPEzXodP6kNbzSGAxsB++rA2zDNYoJcKH11iAb/alLGu\nBirc8t0z7AULrt96oRkur0v57Vuwjy3AZZab83x/M/RTg3ltQlaK55o/Xwe33rRY1NwWlPMFyd71\nhpdtkKZSS7dFuu4pxGDvakdY/VTX5wVsYaqLwXIV7bVi/1CZRwsffR2gB0Zqk3lgpM4eWOD2JQiF\nVd5uGfVaqmMo7JN1H6OK7Y30jGyITx6rusisdzvWcwimK0mHW12fNfT3dM4h43ixapkrwlaPbNQY\nMS4rkY5H2ZlssO5QMWEv5zO+s2sQV7pLinDJI5fyyKV7pJdH1JsInnob6Z+8EL1lsurXtIC64OWy\noFTfgVSE5kYu5Z7oglUZLpltYEgchtCkDUJKdHNkYCbLqTCfpBm7PLg9j27P0W2fjMid6HNpFJeG\nsaBtEZk6Zz0HlEFGrsSktLfuiJfI5AO3eslJ+2bCEjTiNbPJB/o88nx8RT56a2pnq468Jo6y4Y4L\nbuWCO9mT8FzOj1zOD1zOj1xMJ+RRkUmNoVMmZucAk4OjNIXjfxzB3ky9X9+esirWN3hGuOCRK+6a\nG1KQhOsSbp+Ra10Mx+umwDOBC0E3gobX8fqaMdZAX+0J64LSFYhi2e2R8l3E7coi8wKrKi5ABjVV\nvPYpeRUQ8llwWMNE9Xjqv1V2y8DExMjAwFTCyNqEvE7frnHmNU55HuDXU67fedGx87IMqXRMsLoW\nNdiuG3xrg+u61+Zoz9xw/3B27JnzeqGyaGoOrGdnsX72Qgddt2/XPZXzpGF9fut7jQ0533Bks0KR\nT2xZbBNr9aKIgQ96KPOix4axH2RX2Ea+LaH1Pqm3IeV92oKh9tpaybIwwQz2SWWOYuYp+rw0sS0B\nMM5PKlMPhaYqSpLAo9vzKDvmtb+uGGcoiWtsnuVK2nug0EtkK5Pp/gfIzjN1xqyZg2f0venmy4ZR\nhsZWWl+npUle+1CJjkyQFQ/PlXkX8UyEIrdscIvHpJFdVoJaA7STRPKBOfSMEqlw5bqf0uVIl8ym\nMkwGP2nnyEKpvpWekQu5JzCz47GZqShSJoK7omM0NbMYM2aZCXkkaLLv7ze88nY/zc6y+YQnpMwQ\nI9t5NBXPKdKNafHKth4+Rb2cWMJXDWH/KIL9Cz79vn92HZZ2HLgs2OrAaCqOQ7Zg/0yNAllPYt2v\nQS+lZfb1/dYBryvB6IIHbniFImXi8VAGYmoxv7z6PuL3CbnJ5lRziU3QbhTx54/OOtDXm9GGocJZ\nMFrDInXoZ62LEwmtvVXHwZ9m1G+CDr53YD/Px/rXvu/c2BN1yMuTCk3x2F7Pw7aUgLpo9dSQoiz6\nMwsp0v7Gjnlux77m6df3WTOrMvIEwqrGKAs1dFk0lqqh6vF8Wl6f82lRhfmYS+7L9OnSRhaKkxPT\nyi93w4Nc8qk+56U8o2NeeSTfMXBigSlLv6d41IYCLWRZGuT3comgXPCA2ezlAuksFUu9irWvUJfc\n9bRvUy91gVRUMTec2IgtMCan7Vt9MdGXe28Z/ROUIBHnE1LEw2bf8Ri2PIYdj2HLyQ9naVDCBsrW\nGk6DjGydmZQ4Xwbjmkoo7fuvp5vNyW05ji6mMskaCTEyaOaiO+Ils3FHRnr86igaoaEY3UgqVaFT\naxxnbVz8arGZxLeqtiYCghYNqY5JZgv4vjDU3IymxKfuko/c23zk3+ZD9za7fOLt9Alvp4/5yvgB\nl+kBV8xPJOq5O1WlaRcY5ykb5x9FsP8y73POQXrTtoSnmhltOPKCT7nhlTFF5MSwORGuZ3Mk8rx+\npnbAW6AXgvZLZl8/oTbQ9jzasFa58avv57a1vQ4FfjjRy0Q/zISraA42TmGryI0iO7WbWpcsI0h9\nFOczZo0dpqwyVTvo2juwQnjxb/Uka1LzyKY0URWIhbWyVj5c49av4/1VrcYejlwWvIGJWEbsXQkn\nC9e9BLzVIFckFFWTy1aNrPfUfmduAXn97xWjXmfdFb6p38f6J3bOKsNmuSPO74/6XjbmbwG5V8sq\nK+86YVitjWNY4PsSH3Gp91zprckc661l9dXnAAEppiCaUbEBobrgiWhr7tZaYcuxZPbnXQwRJau0\nZmLGoLodj62SsEXb81gE9BaS8jn8WP9Uz1ndaxIhWNBclrkKcbly/erAViKwhpOkEBwUdUryRTzS\neY5+4MHtuJPL1aDcMpH8Gh1VDI61YNqdd0hkS6Rrfama0piQ3PKsDm5m647s3Ann1CZymdnmTBcn\ntsXYXEQL68UmmNQruVei0CiRPpYJXhFUcnGnElSEk0t0LhGK7n+SOvhn92U1jteidZ+9ECRyxS1e\nIpd6RyeRnTuykQPJwzH3SG+NbsnW6HYp408mXeHHTJ5gjnDK8FhyVrtOn8/2hQb7d/n7z/R7VZf+\nmluuuKWTyHZzYHN9ovcjYTebo/1q80NC9hkuzAi8BXqtnPbEtmY74huAUIlw9RFaCn6jzPXDSHc1\n0fmZsI0t0/c7M4fwOROkYJQ6EssYfSXWLTDGIpZWH8YKK204nWX6G04tc6zVjQ3r2DJS9WTW8syv\nvy6Zz5rrPTCdYcJrYGamLwGhNoot4670RRPO6or81yN7Naqgw+Rfu9X3eEqHg5LZq+W+MwYNVLXQ\ngbFJ314UKqjHmm+1YopPvlUoY/C9TvTZ9F9m6ZrkciSw47DACLiWsfd5YtCCpRczm+xWQFXJAOvi\nZ8NYD69BScu1fYNBhyxwj0CrpoT7lnHXoa8lcC8B+2mTt2ry1D1xrtpa75PaNLaZiNfnBdYDfLbA\nZbJTkxwQYXSek+s5yJYHuWifs2nV5nRWMUOZrBZLaKrS5lrpdGQ4U2S95L5VsfVJ2chYbCEznU7W\n7JREpxmfZvpiYKKlJ5e9mAdCp0RnrBizqDQXMjdmXLI+A5We7cF7JYSED5Egkx2HLGZFE+VztMQR\nrwx6YpsPfEk/xKl5BNQJ6FE6jtKdJ10p0Z0y4S7RkXCTkCdlnuGU4KBwKLHrH0Vm/9/w55/p9wLp\nfMBEhLe2H/Hl8Pd8bf+CVy8umfXcvOTav+Kt8AH77h7XRZKabd2QJy7zI8/TKzZ+5NLd87b7mEe3\ns6YRaz7EIhFbb97LzT0vwkd8Zf8eL59d8a77Ni/Ch1yEe0KYWyZqTckjM33JSErjUy0TjmJBM8ky\nGF2Du2XwJ664paL81cx7W15rxhGlY5KESmzMktqsWjZp7191VqqefScm9zvLm7QKlwZmXahqtrNQ\nBB2bPDJkk/zd5FMRljI+dhJvtD3Oz0G1HbRX6NxkpbMrOzMXPLDnwfooOjY9cV/s85ast1ZB+Szw\nZufMTUkdWT1Jwllgq5muiFpGp7bo1+y2kgXuikDdXdGxrJVffV36OwtTan1csEYY7QhdC/tL4K3Q\nUw3A512LzHooKRIIxHavVDGzBY6rFeL59zUpulUPikXIrh2LyzgxI/AHv+co2yZ5EMTGuExLaMNI\nfwZX1r12RhYSxIkdj1Q21kxXqqo7LvWeS70vjlsmFxHFIKGNO5XeUWYmMElvLmOut58Rc6OyKjoW\nJ7VgFYI6nGhp2Bpu7uZELoJoOWB/FhtP22iin0dGGXh0e06y4dHZwnuZHwg5E/KJbRqbXaUKJG8N\nbrAqsJ6jN/XO1vXsar6KL8Bv/IsN9j9+/KvP9HsiWvC8jHOZ2QWehZd8KbzPu7sb7os063rb88hz\nPuWCe2t6KviUGeLMNo5czAc2buTSPzK7wFQYAm5101NG2mMJXLPr2HWPPOs+5Z3t3/NQDMef68ds\n1fBWFPpkTZ19PqK5wisr9oYbeOUj2XmObmsZKFXCdWajp8ILTiXAVc7MkqmfJDO5geCSMSs0F8rd\nkct8z0V+sIlC50jOslQp2HHdRRVV1zIWVcfoBsYypDK53nxP82TBPBtnfK5UPhfIIgxpYohlTyOz\n7xlDxxR6xlDUGEsJHjRadl5Mw33KZi7hFR+KXK1MeFkV/nqi17l5elZz66dbk7Mtr1nrgNw5Q6o+\nTU4rFzufyQADeFUUxYsHMVR7FlMI9ZJW8NWEV49qRrRoAKmx+rXg1MDqHNt5rq5rBrlYVRnUYJys\nFqjOOWSZM9cqujIlWv69GK7YeV7uk5kSQMvvNkitGKkELcyuci7MK7ZMpIpZXSYcXg2qcmpyJrTv\nshAMXJNuSHQa6Yn0OjPohJdMlgOI4CS3AHqRHrhM91zkRyZvmfHkOybXWeB0M0KyZmZxOJulazLU\nqib5ITkRSoada5YtAaeKyoyoEKKiczKTcYrkgq8Vf7IpW0DVMTHTy8xERBSbMC77EKNJGnurJrIX\ncFZ1eFGUZPBSvXZlCjdg97gMCnuWWaBqev6ZouP3v32hwf6tD+4+0++px+RKe0V7kL43YTT5lHfc\n+xxk24Jl3TaMXKymQYNaKeXnjB8VP1Ky7Izq1GCgdUMzVw/MjcIgzMOC977NR4wMPOMl1/KKQUbz\nrsyBMGb8KRFOM2E0bF+cLibgvSP2A4/9BS/75+C1KF32gBB0pp8i/anwnceIeJPArdO7KagNaARF\nHKBKGJV+TGxOkd0UiUMmDY64ccShBI/qDVqbWHPGzSARNDkYPLHv0MExD71hjSfox8xuLLLKm47T\n0HMYtswhkOMRfxKGMdGNQJ/RTYJhbt89ZOMo+xxNhTGp+dVGe930M6IHOiIbbwweUyW0XNYWPcUn\nUxH0sd4cy569eYxqoBlxe8n2sIsFubUOfTPY0GLLV/4OytS/Cp0YnnvjbnnX/73pzKs2sS4RJahJ\n4fbJmCA+Z1twoAV7mkSuNIcldabzokVHX5LYnoFk/Zp6O4pq6yO0RqcTsi/vURybDKas31FtoRdj\nviQxTRqvhelSzEXcys1JFOYuM3VKLFPigSN7Pdh3KJWY/TyLyFfB+bVURTa8ldsQ1+wyEhw+KF2I\nRPHs4on9fGQ7R4ZZyZ0wd57UdUz90CAx50y2wKvJPwciWz2iKpZtN8P0xORAgzdqqK/e08ky8VCO\nV9SOPSputOc8OUd0juyt5trlA1s98tb8CSTopkQ3Rbop4SfTqg+uXGexvqEGwIsF79L+oLpX1XO3\nBXnLXhlBPgX3Pnj/+YifrbcvNNgP49PJp+9vM3ccSE7MMSclOhfp3cRGR7ZybJTFulV6YnWACiSu\nuGfWnqy+9HLsRrfOeHptaU3eNK7nzn5GqYYjJrVqJfyMUiwF5dJaUXlkmyb6ONLN8UzCAYeVyb4Y\nVzwpoxt3PCshZeMbj7MZL0CRgGARiZKVXHEWM1iImEOOx+zkklrmCS24uTJU45LiIsiECTo5UO+J\n2nNiwGUlpQlmwY9FSMtn42pryZrLDe0yy+RhtgxWcagqqskMO3Kl1JWAoWUeJ5vt41yYEV6NDRJy\nsoZWgW5qMFahmY+fjdUUpcJUMi4ttDpjLxUZ5HYOVq2wIrwlpY9QpV6Ahutj6gIGN7iuDCpZmmhG\nJOZm5NWMxC3Q2vv6srCEnHExL2JeWhk2tewvRu1Kk9KtwYK1xkqtYtSGc7K3e2N9X8zOl4WsyBzX\ne6wtIO2srd66jkVVlorBkH2a6fNEn2Z8TitFR3s/FTsOC3407fsqIbVWAOqYTdbARfBKVpjFmdG9\ns4pJ86IXVYfqDC63vo2U4OlKslCnfe0/ZpyHzpt0tWQYO5NRdhuDWTpXwLB5RlXIwaqBSUz7p0k0\nV+jTqQ1byeoy6OpGMWzLJKezPedZZIF7nCAdZkmYCytwldmLO7u0n8v2hQZ7Pqsby9rjMdsNJgBS\nmyaFI7zaIsIR41V7Eie27OXIM3fH7Dv75tXdqm5P66iqr1ODyBkKZ59ZXaZuuTbFPDxX/gEND4Qu\nMei03B1l9y4ZNU0OXHKPApuycFScuFLUKF6p6iAFIXeQ+uIBKo7ZFZNnNdwwO3to7AZS0yxB8U3W\nVdtDfnZcRaQmlzJ5LE01J8pGJpKcUGcluMnbzkROeMwMo/MzLmTz7wyO5H1pVtWmYNXjX53w8tnq\nxDxuZc+tXPGKSwaduEp3uATbNNGtFmN1ZpHn1gHR1IvJZYAmBiuxl4+qC+laDZSyOLi2SDx91EQL\ni6JATi7ZkI56xxw6TjJgfsWCR41VIubLW1Ufo3dWqbkEc6RXNZipjNanzo7IO23Zvitm2HVkX55e\nr+XWMCgjQVIhhsDozd1pCh1dmkvFMRPibLxzsXH+dn5aYDYceXSBg99w9FsOsmUo8GCIio8zXbaf\no1Yvbn2+KAYnBUorPxcdJL+C2QRS55iCSUQmrIfjdWKnI/u0rOTVL1jUzss6UZHI2d4RCZLYyWgW\nkaHjod9z3+243+8ZQ2/DTvGRq/mRIUZmcUTXMerAiQEV6PyKgpzsqYSVCGLT31rdMisp46zFzKRz\npN4RvRCwBC5M5/fgF7V9ocH+vRevO1V9P5s4xbuI97ZH73kl13wo7/Ce+zp/wU+8BuP0TGcWg0Fm\njmHgUTbcdTtebfbkbIp6da8GEDXTyU5M+KkIQI303HHFR7zNf+Vr/DU/0lgEQvEzdSPPqax6AAAg\nAElEQVT0kJxj6gOHNBQZ2lSw3szJd8y+ZjKWXdrFr0MmHbkPnNwG1ytup+a9GrKZpQTlJANH2TKJ\naXRn5xj7jge3RfpEjM40fHz5HV8CnZRFQLXIsAoMgiYhq+PoO4OIgtnXdX4ib+AYetheIKJmBhEC\nc+hIYqX36DoIGd0o0TuSBxcivZRv5SxiRfVm+lxwDilPfnaZwR25domNPhI00buRXiayh1Ffv1Vb\ndleev9kFC3IF81XWwl9FSk2k6cdn59rkaN0r3XVNdsx1fN95cnBllQEcDDKWKdDMLJ7sB0CKfrrt\nswTrR7iE9xnf5wJ7lGy85ikOs6srsgcu51YReM1L6/lMS58WbLI4xqLbPjrTldk5s0LcuSM7fwSU\n3CZmF2ZP7dlklspAnTJwopOI+EQSsXsXvzqW2llYDkQxOYVTUZUcxSaRpfTdRLT9zCSLcPe1WBv8\nWm+5UmPJHdhxkC1HMe2fCz2wTwcu5gO7eGyaNFoWTCkCZpIUF03NcycHvEQ2cmLWYJm6z5xcx9xf\n2aLrBPGZQU7UxjkYzTg5j+sKX79T3HZFbxV7zYiRALT0XIrdpfoVLTRbg1hPwKMiB4OR/GyP9nkE\n+8FvX2iw/6vnP/SZfq/qmNSxaEV4mZ/zvr7D38Uf5r/oTzA9YePs5MAz9ynP5KUZFcuRQ9hwF/a8\n4oId16W9NrRyFRYFx5q7r/nNCc+rfMOH+g7v5R/iv+hP8Ew+JUjkwj3wlnzE7AIHtyF2niMDPfsn\nA0szhyIhlsvngT0muRAdJxlInSd2y9DKUy5zwhfim0m0ZnGcugE6mPA8smnsl6eUzxrMKtdjkRer\nhbZ5WQ2ccCETg3Cwxx5gedBLyXUKkIJjHDzHleQxWPleS/A6OzxTrRmXKsmraTpe6MhV0V2vlc0s\njrlIM6y3palqf57EIKCTWIABzmiIxu9nSZPFKJKVBVKVPJcQaLZMk/TW8CtXsJqND4yNz69OiN68\nACoEMtMxq+3i1GC17ilkpyWjtgrDMONzeYS6WFUq4GKsIu16wuI1XIfRJnounJFZZ981uGhNwH3K\nTsq4s6G6DSe8S4jLJGAsn7u+X9YTxPXbVSfcBy541AvAJArWchFluoFbrrnnkq/wD3xF/wGnyoU+\nFprvnpd6wyu5Iavjub5Cs2fIEckmvtYy6CD42TjsYVQkZnxKbCWxkdP/w937/FqSZPd9nxMRmXnv\nfb+qq6p7RjM9EgVRIoeCuZJkCgYEcUVxQy64IWAQXpDELERAJEGY8M76C7zRRisDXkjgkjsKkIDZ\nGMZwIYOGbYigbVEaD4czU1VdVe+9e2/+iAgvTpzIyFs1M1R7ugUwgez7qt99+SMy8pwT3/M938Nt\nhpiEMQyMvtc97Dfj3GNsI3sXgja7Dxpk6VTe9nmuz0ZWknVGGuabSkbkOZPHRD6Jdqw6QhihW2BY\n0bVPDYD8sO1zNfZ/zE98qr8bGMuU0KnRpYU3xye8fnzGq+NHvHz8ImMeNn9z6B9Jh0C+cnAAv7My\ndMXyM64pg9FdyJviH/3uOqXJ8Ob0hE8en/Lq+CEvH79I12eWw0B3Fbk93HPXv63EtjM7lMs+brj7\nD1zXlYhxlK3QaCqw0KrGsqtVfa0jgpa4p/ZrQZtAG793q+kyVuzTjqE1q23N6bvdudrqX/v7Nu5N\nOI5FU8ZY/lvyZrz4t75Mq1LOXkUhxHjbWvFZHVP1tStlzT6V/VHGpTA8JpSSpw6yvVZjXdhqoFA/\n3WqiqHisuSFl1xhN1Rg1IS9KAS34cZaWmy8EcfRpqmyVnEsytdFab5PDksuzkL6yTBYJmxWJGpS1\nEtiUOC/rF6ya2nJYGhi4qmMEZsj06NuVjBWypTrXvv9m1FJz+tuSt6v8yCEf+TB/DzIl0leJhZPs\nGUWDFKtfecJrnqeXPFtec7Mc2S2RPQuDe8kTuWd03yGJqpaGboEuci9DqRheGXP9opo6Q5pxi3bh\nouQ2UoGWRKJ2t5LtW5SxpjWtCIM6si4ruaDLCyHPmzETconydb660pG8WzRh3y8q3+COpahqzMic\nCRF2CW7LQtH0UT+rRO3nauz/lB/7VH+358RzXhSPCft85vF4xeMn1zy+vOHh1S1TLMbeYMiDp382\n0ceJLsz0u7GuDszoPqINoh8Kb0fIjXHU1tRrJ9UZR+bhfMPD61seXt3y8PKW8fCG/DQQcuTQn9j3\nJ44calOQkaEe09yIReNWgWgTxgprElL6J2npzpFDubV1cr2vUKmdfkBzhEcSDhM2M1NukaAV86zi\nYfaqr+bV9jZpZqsFEzw2lNNkCy4d52rsNfI7aikWJ/YcOKqZkdX4tBxxM0q26RiU2FT0s1WeXAjN\nXeQGaGjuRvKmhlMdsPH113G6dFYpW+eojikPGtVmY8moMwlZdVrMMeRcII/iFNZEtTJWongmNzP6\nmdH1LKK9e30uI5BjwcjL8ym87jXyX4qjSiXy9vVzoWMk1xFo66wV6lpj+0ykNdt1/EoxoitNv+38\nbRvEdldJOC1UG/LIRMdDKQ0UUUcHKAZeznNX+Pb7NOJjqknSgztqtO1ESRPeE70Wel3WhWSZcQJB\nEtktJQ9ViB1BIR8cSg9Fn0FlN5X7yjrQa8BRnmfIa+C3XQ1tA4qAKoUGYnEOka4QDgzyBzXquzLa\nHlhk/f+fxfa5Gvvv8tGn+jutyoxYk2iXM9O5Y3kTSN918G3ZJlsF8l1pfDD0jLcWQe7Q/rJqDKzZ\nuFX1CYkDJw48cigFSlbG0jEjOXMcD0z3A/FF0PPeZMUi9wl/txpdW3KbJnwbIZsRNc6zReczgRM7\nJrpiDFdz3R6jXT62MgybpWcTcRknPLHVz0m4OhZm7FrYCqgG2dr4ORLX5bW9LgVP5rR2nGtEvDqi\n9nUoTBqkMJpGBJVi2MpUnFCt9q6KVkyljqK9vnbF1DMSLwy3OqK1KUjPVKK89Ri1vEhCHbd2DeVI\n7OW0aszkM2ev7nvMGhZkpHLMvUS6rJpLh3xin450aSbnjIhU4+JSVgZJBB8zWSK+mzRX0Y1EikOw\n6D8lBpk4uFDFzezZmtmJON5ySyRU3XgzxDrfzIm2PYgtZW1FVyoV4Iuh07qBVJ1WyEvNF0Tnq4F8\nR5zD8h9FF8cTucn3HHjkw/y9CnVNmCBcx0FODHLGeR2vRYxeWhhWTs/ZSmDYDKvzQqvGFADPJSXf\niyZJe02aqsFVZlSX55rzsgJHdW6p0lOBuiqLshIYWgg4EDVsEp2PThayZKWA9p45NhDTkPEh4z10\nXq83FNKB3cJnsX2uxv4Fz4EVY7Rt/bc+sjYGA2p0fMOD/pxH0uhJbx35hcCfoca+oTfKkvFXke6D\nhX6ZSpQe62Sf6Tiz45ED99zwuvTHXbSYuS7iV9OhxmOcB+ZjIL7x5BeFBXCTkbOyNjQaWLsrmTjU\nNgY3Tr9+y5bDS+Wq5Ea0Vc2fxc1mWK3y0fDFFdm1hbgvDTFMsNlXKCCXv1M2kZWEK8brGuOsUe2M\ntcWztn12ZR3zBlKy61BIain31Xb/zSXydBXysXOrps4awatDs5yDaQGFGmevR9u6l0tj30abNRpr\nOpetx9GzXqoLSbmD1ojZWGfR1UWLVS/llXKSEKfMl0U6NYh2XnFadORnLTxi1pxG4cLbPMli1NCM\nL0yoIEutSK5GqUhIWGLQfj/IyOUKC1o82sa7zSNQn8sD12SEfT5zFR+5Wo70MeIkM3nH4ntGv+Ms\nQx1Nk4+2GeXrajIjsuDzOvMtqk+i8zY5YQoB53Ykr6vItlK10m0zCqOhpIcooRaB4WDstDjrobvS\n4wetv0gekEyfZoY4K500zqoB5AHvyD6Xd0OKTk+BK0vSuu5lVdTi94L9rRI/QoxIFGVzzRk/aZ2I\n5Iw4SMXAT6yCmPCXRBvnFU+B1bi/k6gCwFgpK5wwow1MTqVSNmdHHh35XsgvgW+zdq8qbQKdS3RP\nZ/bnE9dR9TcsUs/lmGesTd0Vb7ktD8sMsf43MqHCsiqFMM8dyymQ7h18oq5JnmXcqNGXXBi/d8GW\nVpCNYg51clnSLSObFm5GH90VHF7lmHMTla/JtjbaWadgi3a3hs9tDK7p2Rvs4olc88gND/WvNjgl\nK6uidRiXieEVzV81eUwvxfhSGVNfXOhrxK/OZCgQmOH8Z3ZYD1xbjbTG3u7pMkdhxth+r851S6Zd\nn50h9oIwlLmwOm8TP7P7aVdIFgGe3B7r0dtqviwE9u6sWkJJdydJOzOVyuWFoBIAsrpw28zASNZG\nJGvNwIKXxMGdWOQ1i4TmLcp19VfllVG5i/Z9zEiFNU2n6C695aPlBW5+yc086lh2HVO305aDbrdh\nvh04loT7WrimyIirsM/qNNcdB9H5Mod279gHn6Pq1aeZLk50eVFJDl9wex8Y/U5po+w55z0Lvvbg\ndSRCjtykR/LySDcf6eeJJWRyB0mxm8rSSu+8r02+iMhALCqp0tiu0n41hVK8GRnOkWFcVPzmRA1M\no4OzwAPwkGEuVv4Ln97E/sDtczX2b7gD2Ey+S4bIGhW3bd48T3lVhbdSFtJZyPcCLwS+hVrOAQXB\nBpCrrFWs88yQphJtzDUitnMo1KKTY4Ujuhplbh90RmLWAqRzhsdyPnPLf2GX3Do4u+9VaNZEyNqY\nzDRFPGt3KFsgr6Z3vdZ2od4i1faz/WuNizUmTwinklhWGMPgoliMp8U6W6cNYPIBbcsNaJ3M+vLY\nuVtNmHXFtS8rljbNq87SjL+qLW7dmyW9WwO23v0KgSnL5ATF6a/ck1Xy1wxqKC90K/zVrhXs/lpX\naAZ1dSHvjn+QyCQ9QWaCU0NuyUtzZqsqpLqKtQ18WYVJYnAjQz6XKH4pEfB6njbUaGeCEQIyUmWX\nQ15wWWG6p7yq59nFket04ooTQfRZHXjE5YV9fGQi4CWWGowiZVyota7oGS0SNEHrdpzcvuatbOZZ\nsrZdIdj1mENrC+qmoMGJCt11VRLC7qljJshcx9yekx57qvkmMsz0PLKv+1gCCdshMzDVPF6/mQN5\nM883b7YTrajtRG3DcGEj9iA9uABOVvhmC6T+6LbP19jnuzrRPLE2B4Zt4mzJQSlrqWfO2o/zXr7H\n2e1ZJGhkPwk8CvkN8AIdqcO6yznjp6jZ8MbYm3NJBUpYo9odjlhhj0uP7iiNi1NCloSMwCmrLqlV\nn/4n1Em0EeclnBALq2RqDL5BP/YiABVmABoDaiBNbO5gnYBSJ7+5mILLllj2UrBYz7fGX450cR+p\n5jQsPdr+FlZnsP6/VbrZcgmhJBgNzjKHZ8lfYwY5LtsybnMDrbFtAwozK/rzaoZ1VXFVDanlE1pQ\nrGvMrEVyl+66XYlewkmaLN6SHKPofU4y1BWSscIsR7Emt/XzkeuSKbmp8tJX8siVPFRBtPYcvnma\nNt7tfDZj1+eZPo30aaJL82psymOzOgYRcCV7OMhIn0ZuKMVcRSvJ2h9mRIukiixHEs/Z7Xkjt7zJ\ndxzlXdJBO7cDC12ea8crn/RaF++rZv/swmaOrKvKdfRdgQ3N6QrKgFNHUiS7s6+EijfccGar1y/k\nQiTVfEZfqKPtm7TFKhxJSgV+KPOtFDRqdXTWZG0HEsA5NcSfdZnV52rsH0YtygluoXOzLlPdcvHq\nwLT0jOOecdxzHvdIDhyHW8ZhTxxK6YE0u2H1YGA0JCtGWR9+Sx18v8KjGhszRm1Stb62JVHlUqpN\nCMQe4MZsm9F9/9YCKrDi7vZqn4ui4MpJt9hfm3SASkEo8toRiZhZ9cVstnBMS6Uz49TG9Ioea4/S\nPWcOnJDmXlo4YLsisT6gW8z+Ul65TS4DmyMLxoI6VUKmGniPNfQzdk2L0PfMSMnFGJxyyRQyMzCU\nBHK7vjBHu0JIseDYrs4Rc5ltcLBmdNaV6eVm92vR5Ba0UMeaUZlic+b2W4s+NUmq0KLJfrzljlc8\nrZBolZfmWJrurAlrXY2MdYxbKMhGUsi1xN/0cVrNG5dMpsRpsVyvpdY+qiH3s2oWpeDIpQH52Q30\nTEoxlYzzOq4np5Iir+SpNu1u5kj73Ox9i+I0Mi7V3UIugm+53o+tEANrlzdD2iOBNmtjtAVrNahS\nKcq02aUzMYNj4VzeBXO1GanEgb7MN9u2Tr/BLMSRgmN2Hcdexfv6vNDP2gylnxdkVp2nLm26mvKX\nIkGrxToFO8yKpdmEW41jXiVpkyfGMg2SJ+UmRvToCO3R5uKgy6QBLVwpuL2XtYORvZgaNYYyGdoo\nvoVs1oiwjRaCLFpkUoXJ0ISwWJq1NYbv37aERsXrjZdvGL1FhJGAJYJWo6HR17JB6t075/AXhv4y\nwr682hXeacudtvuloYfVcNgIKHnP8gHbCNNeyEucfZXjtVFZ71clbldJY3uiRpM0brndVWvsLV+w\njgPN+d0757JYIdb78SXpmmvUbo5f55R6fKMt2jxqx9GS4+s1GHWvBbxW1Fcd9rpqsWe848wVj00A\nIBVisvqR1hmqrksxooUCWIvKhFrJCkUmoxg2FRVLhCVpkx4v0GmiUwpMlO15KLFcNaSa3I8Zeu9W\nOW0Rex913bKCtCUFbo3C00KfF0RSZd4szoHIRQBh+a6ySmoIBtss2eqcVwrDooFWGfAWZDMXr4yx\ntXlPXzg4tkKiEc2zsVBDr4R7XQ0Z9CRVHM9+8AK9B+nADxB3elj3GeE4n68QWj9WpoDCOPqQV7Oj\nUzgHR5IzuctwSOx4oPcngp9xPmmLrwE18h+gGY3IJkEru4z0iRAiwV02DfElkm2j5lxfxHc5HsXP\ny0RwMz5EXJ9hl2HISJdxPlX63aX+yg/bEp6JgceSEDuxB1b4w6AHXyermtPLpGe7qdFbDfT7ttYg\n2cthL43d+RoZj1hXoksM2o6hbKdFC2gKumlL6zZ550ic2W149i1sFQl1HC2iWghNrDrUxGfrVNto\ntS1IUpjETHLryqTBwPWY7Ti2zs2ck/1/Y3YZqtvmIEJxw2aWjKFjM0pd17uG3m3mXsLoqRatX/PA\nR3wXS3e31QP2PC8T4l1eSkJzVgqoCNGp5IjRGJPT4Gf0PTkJuzQzzBO7ecafJ5UXnzLBRW0UEiCV\nitVp8CzBc5KOM6qFZEbXDHXKuuK6kQeCRK4Lq85MsAFct/GBm/jIzaKfis13jL5jDB1RHCbUYHPa\n4BejBg+MdZ6tc3YrMd7VEG/tyjay45Er3nJNy8Iz1tnlirHNJbikMhwqfFbgokxRaFXH6eeMjEXP\nh4z4jO9ht4fhGvId5LLw8p8R0f5zNfZ37m151dZuQ2bs2zizk5nej+xcx9x13OU33MhbDvJIJ6M6\niT4hVwl5kuE571IvrzN+n/CdKmReSgbkxkh15aXScumWrNjCOPq7EBbckJBDglu02fge6KHUmdQI\n4V1E9zLqXyNjY6fcc8NjkVhoGS0r4GK4uLFx7MVecSw7djtJVwhlNY7t6qWdyG0sb78zg7fNY1gc\nul2raBJVcyTWps9ePFthGfZtSXGLUM2h6PG2MRlIgW+mek0RX8Gf7f1Tx9bw+zVGXt14rq88NX9w\naYTXZ6r3PRWn086jFYo0o7/U+1bK6zbDIJuzvFvC5srz6/OaPt747Kyrj0VCoR5q4NI+78ACouqL\no++ZpKMK68k6WouE1dE6T3Rn8EIIiVz+JAWKHLNKY8zBM/tQP1vm2MigUX3j+JxJTJPpZarjsGYY\nHId85rCc2c9nhnleu0MJ5Fya0pskNSqMF6TAwKIUzpwFnxJ9njkkS6inCv0ISVVWXSb2QvaO7BM+\njOy9gKg6qzpIdZQhR3CpyJRn8BlfZJV92VMt+MpVJlmKplEoMs/2/MRs1AHkGfBxsV9WhrRVfvmR\nbZ+rsf+ATzbR5Lv4b0l2yFqokXDc8YYnvOaKB3aUhuNdxB0ujH2L499m3CHhh6U2C27hCLBk51KZ\nFmrsJ9qSccPIKwwRFsIu4q4Tcoca/D1axOHeTTi1+LA5uNi83MLKQjmxK72ZrmvVrSMW9NpwybWZ\n9oI1eY6kxmmamVz73+p+iS+3cIFRUtvnYgnPrVlaGTpmcC9TpZfGu6VAmtMIqN7RCkKtmL5j23Dc\nmBt2hn3JJ1iEb9G+PSuLboVcGBquGtjVZYZ6zJYiuuZzVrzW5oqtqkz3xXZb5hv5dM+JGx7oSzpV\noZeVmrmUXMuafp8aZ+rq6qJKMaPkAHKTH8pZjbTrmUS1eZD1Om2fpWPxLdV0W31teQOj+s4ExAld\niOzyrBFrqT6NnbAEp5CNNRBhpdy2jcwdqXaP6mQNtGwdpfNv6+L6tNBFbTIuU8Z5dDURgZBIWdaI\nuiRsRzfQy1RygHPh0I+qlR+1w1mmOLfi5JITcnDMTiPxLJEdjwxy5IkILmbClOruUiZ2jqUTYi9E\nEXzMhFkL4/ycWLwndWV0XUcSXfNqjZdZ+Wb3aAOTj9RucM3al9Dilh/x9vk2L+HFOwa+hRjs50sD\nc8M9d7zhqizNgkT8kHA3GXmaYcprT68SscgtyF3G7RMuWAlJG0uo0NehYKD24l/z0CRiljo5q4xC\nNxGuZvyTpPTLG+A2I/usOH7jyNqlY4v7a8S8rjJ6Jp7wmoGRp3xSl7jtUS4jcLHIj6kay0vOS0te\nNYez3YS4iePfvf53n9c2aWsJxNYZ2HO0aLFNvFmS0HBWM0LqwBIBY2RkFjzSTFE7PoBDMJGGm1J3\ncCzyF5/wQWWrPOF13a94bI6l999GlgbT2HNv8f82uXrHG5Zc/pW94t82XpLocmSXRnZxZFdYLlHm\n2nsgiipniuQiQ51Zi3rXxLFx0TOidMrmAUvOtYp0KZF9xDHR1SDCxrkFJS+dQUbqM0h6I2rcszCL\nMHll2oy+Z/Jd7WA2MjDJUEgEXXXUNnZ27DO7urJqN/tuu1vyFbFVciYshS6b1kpa3T2xVLV6iRXm\n2hXXb/ImZuitD0QuhWupdG+LztdmPiFpxL72edBktT6WXBPWORU+vc+lLaHmLEbfqbia9CpzHRZm\ntzCFha6bNcqfE15UIkNOwCu0KPT/Bay308Rnsn2uxv4LfGcTwbef7dZ6e1DGwQd8wg33aohlIuxm\n/O2CW1TCl3RxnENCPoj4q0joSrejDYoaWThW42STtbbCazR0zNAf5MgwnOluZtxcJuc+IXdJ5RJ8\n3Bjk9ud1n0uiesUdA0ttKN5CE+1uUbLt9r0Nq+Ji3Ax++n60ycg2Edji1RbhbpNc70/YtoZ+6wpa\n47zWU1jScnXu7bOnfs+ibsXLA5eOZ0u6m3jFUyY63nLLkQOOxFV+RFBOz01+QC6uXzHmVYrXnOhG\n1yeXOVOaWRjzyrpCZZoKSxSv1Q5KqS71k0Q1UkLReS86+rlJ7G32tdF5fc7vrfx9FwjS8VufY7u/\nL9BqXbpDaTgxwOKFMXlGGTi5PUc5cJQDJ9nOzRltOm+rmF2puDaHfjk3bL7ae2b8+kQmu7VqVtCu\nWr7UsCTnmDpfGo0ofGQrzQEt9upLT9rshClrTU4dnVzshDcwWXMKktEuaEukW2LtJVCGQnuUZGUq\n5ZhxlkEtjhGvjnF2nskFxiI7voga+8BCl4L2NAgLvVPOF1OGe+AlWiv0SXlon67H0w/dfqix/4M/\n+AN+8zd/kxgjv/Zrv8bv/u7vvvOdr3/96/zWb/0W8zzz/Plzvv71r7/3WH+V/1h/fp+Rv9xs8h44\n8pzv8YwX3PFGtUr2R7oPzvhhQu5mNh0UAOkX3GHGH2a6fisxbPWDhqleceSWt9WA2Hd3nLi+mMTD\n7kz35IzvJ7idkW7BH2bCXht49GmqUq57UZjCysdbBn8bVQIboyXkwrfeV42TJ3zCHW+45e0mQrUX\n6jJBC2yc1Z5TNbj2mqvB3Sal26IdK1JpjYPh8LZ3zEwl2W1/tx5hLDIVlnNIFdIxLRtbc9lYmJ6Q\nRX633L8nl6BX0+Y0DI77gE/4a/xHzuxwObFPJw5JNWp2eeQylNg7z+K60n0qbKJ0S8SFFAtGGxV7\nFf17gCyZ7JxG6C5rSOqEiEafc/aQqY5Ao3sp0HmuvWgjoRImp8LGaiuWHbnI861qoWY0za16UmWM\n2L4FE9k8X1XCZGN0d5zonPZdnQmcnJ7vQZQ88CDXRV7kCW+44w13nBl4xkue8YpnvKxOo4UDF0LF\n9M/syEgFwq55YCGwcyPJT+Qw6mywRjtZqaAZYUmBMQ+cMFlyfRb2XmdxZQUy8ElwhLSwXxTW2S9n\n+jSxdNpkRzpUu0e0xVp2WRuslPM5fUmUhlrmiyXjLzdvvQhQ560NyH11brH0MnaSCb50kbNXNqIG\n3iL6z4hw/wONfYyR3/iN3+Bf/+t/zZe//GX+7t/9u/zCL/wCX/3qV+t3Xr9+zT/+x/+Yf/Wv/hUf\nf/wxL168+L7H++n0v32qi+yZVHhLtIjbE/mg/4SP3Hf48u6bvLp98o6e/RP/mi+Gb/O0e8l1eCjC\nVMe6X3EsSHYx7UVYyqI4i8h7Ka+GTDiJ3Pavee6+x5d23+L1zR1fdt/iQ/9dbsMbBtHJdIVFkxO3\nvFUUM2uybcgTTmB2A+fS0AOhGtFDUbvXwrLAkjU2v85WSvPAbX5gKY2VTYs9i6jCXlFaDFm1Uczx\n9DI2GDyAkLJjV84Vs5pMbRSx5+i0xF2y9Y9VOd+Omc5NhZmk5flD0k5SuzyT0knZT2Lf0/oGn2Nt\nwmH67ZWRkp02OZeiRe98cQjafN2SvCm7QsvVxJ01hdHGMEn1k+ReDVuBPapwhKjhNjst5PL7SJCF\nKJ6Bd1PoQMXNzYBVrksZf2RlcplDjW5dMyX85rjWx2CN39fGJOXJVJjP8HqD6YzDHcsx29/X1aOs\nGYJa6FdaSE70nESrxbOsDCNlCek7lPDVOSGycR9WE9Axc80DHtV9ui3y43uONadkY/husjvXcQ1G\nt2RWRU0pHax8WLuqFapixDOGvjSEKfBfmlVdNCplc3Gl2XhpXJ4RjdDnjDvrKhh0pFMAACAASURB\nVCEOjpxVFnkKgVASfq7w76HAPUUhU3KJJQu05EorxsbnI15Ko/O+5j56Zii5MocmeCUAXV5p4pe7\nDtBnsv1AY/+Hf/iH/PiP/zg/9mM/BsAv//Iv8/u///sbY/8v/sW/4Jd+6Zf4+OOPAXj+/Pn3Pd5/\ntfzPn+oihVw73DjRsvi/4r/Nye9xQ+KWN1ipvG17TjyR1zyR14r350eepldl/4Sn8VUpLXe6jC7G\nYW2IodH34gKz97Uy8Hl4wV8P/56QF+7ya57nl/wN/i++kL/DPp9UUjnP3HJftcytUbZL2qd08JHU\ndZzDDtelauyNR32VH+lMA8T6ftZEnb7cZ7dTTRDfMXlNPl/Hx7pfxUfW9mllHXo5iTI461ubIGfH\ngz/wGA48hAMP/sAuTlwtJ67mE1eLdjoau45z6Bm7jsV5DsuJ3TKxmyd2y0gMnjk4lk4/HVlfRmvI\nHVujC2ThFHYcw0znF+3oJZEha3MQXQbPpQtRLr2DNarWCaIHsh6suSbeip3wwiIeyb4YkFT72Vri\nTsQ4Oa4xyq4m07JTJkrKokqksu6WbN7Lsa6g1nrbNWH5bvJ+Swlc8e5iHJq5aBj9IkHzBaKvrs+x\nNslQR9RQPkVzIV2a6bKuOhcJ2uTF6XWdZY3pH7hmoq9tR7RiNFUnZNd4xxu+yJ/Xel9rRrK+rTTr\n5646EVt1XHNPyJGr9Mh10rl6lR4Lhu5I3nFyw8XawKAXV2SI0YBmntlNU91TgKX3zL1j6bUvYr9E\nunMkHCN50tXB2Q2cuoETA0Oe2MeRsIz4udRBhJKM9QopvdOYHWrhmbbGdCzSc3Z7HvINM4ErHuvq\nc8+JzkVCiNqpLKLV/jfAHfCU9f38z0G9/Na3vsVXvvKV+u+PP/6Yb3zjG5vv/Mmf/AnzPPOzP/uz\n3N/f80/+yT/hV37lV957vA++e//prtKhbccC5A5cyFy7R566T3h032VyfY1Q1htb6X4Jx5gG0hxw\nEwzTwvV0rkURIPVHtR/quZN3jEOPGzrohWUI7OXMLW94Ljsinrv8hrv8Rid8hhQ9bkqEKeKmwq9l\nm4inhzl3nOTA23BHQsqEOCIkXQFME7txZDdODOO4Fm8VSdQllHhJcm1W7KdENy7sxonDNKq4Uyek\nTsctXxh7SeBm8HPGzUB0jMNCGEodhE/4uNCNM8N5ZD+qIfO7HreLOBdZxLOLE7ux7OeJpXf4wbNk\nh8drbUVMhBgrVU2bklM/Q7/QZc8iMz2OkCJD1CYUQ1SWRu0/XD6RNeIyFC9boZCktZClfrK+sMVp\n6P+3zlipCHUJuTYaMfO/8rt7N5Pdea0ZSZFdHBmWiV2clfonmUUWFiYW8SAG89gupS2hXp8jEdJC\nl6KuzlIsY5PrGLXa8UmcOusCNZluTPKeWBKP0Xt8jPi06NinSGZmkZnozlWud5K+sHp6ZgllNTvS\nyUQvI5EzB1HZ6Vk6JOeafN7FkT7P1RjbimAurSEnXyJsEVr+jc86Zrt51CBhXliCI9reKU9fcyEg\n4gBdCWi0n3EZ+mmhOy/0p4VwjqReyCmTxUHnKkPJgkUBhXYmCC4xFIplt2iTETdnNba5BApdSe4u\nGSZ9X5y1la6BgjY3ueaIT5FDPBGdY4gTfRoZ0kSfZu1Li+e470g7h3+dCLuFzitE6KaSU/vPAeOI\nyA/6NQDzPPNv/+2/5d/8m3/D8Xjk7//9v8/P/MzP8Df/5t9857v9dz7dXeQAeZfJe8g7YBfZ+5Hr\n8Mgdbzi6faGVle+zzQnMdBzzFeN8Tzp1yNERjquhIeX3ipjFAMs1uGvVr5AhE4qXvuWemZ5reWAn\nZ2pBUuo1yXOM+AcIx6iTxzA6T4ksdtyHGz7JH5ChUbNEJR6mSHhMhIdM94Byb5vlnhNBnFqwjCMl\ngVmQk+AewR8h7YB9hr3KqcoFrC+xTNwzKuY2Q45F28UHpr4jpEicPensyI+l/J1I8At9Dz47umXB\nTwtySnAEWbQEXURwbkFcrrrtVo7PguKhsXySteLZl2rPFPUFnCPDHOliKs+qPODSYDw340q25XU2\nf10NarIX0zDYsprZvFlZj5WFtaG0XO7C3p/p/cQhPBK9UxremAjnRDcm3JJ1YK0ZtdNEnjUZz65o\nvARtxLF4TT53Ue+5WyJhiYiNUflkLWlYr7fdBXK31OLC3DV/a8eyB288e4Mnyjhmb/RE3VtHaf17\nJa0Bgp8zbmmuq3zOvS+7Y3Z+Y+yh0J4XpTZ250QYQfqE7zKpj0S0cXzVry/a+b60+PMFWnRTxp/B\nnUCOGRYQJ1rd3tCxsxdyEEjaFL5bFjiPipWXnrUs+pmC3oQ4xfVB79WV8/hTmXulh3P2pi80cefK\nWOvyBmaQGfIinPYD077jtB847Qf6FzP7fmSfRtwp4R7KGH5GGsc/0Nh/+ctf5pvf/Gb99ze/+c0K\n19j2la98hefPn7Pf79nv9/yDf/AP+KM/+qP3Gvv//n9cf/6Hf0/3v9BWpBFyrwOcnDb0niUwSVe1\nU7Z/si3RP4g2Xu7chPfx/cpD+eLTg/RZ+086Y88ootomEh+4rkVZSTx7P3LoR9z+TJAVl7fd+YR3\nkU7mUlzEpgDKUSh5HdqcMpYIY9AxSAMsQZ1RMuME28YNfRmzMhntJW43yUAoiaqk9Q3nbs9r/4Tv\nuWd8V55zJ2+J/iWhS1wNJ5I43nY3vPa3vJYbzjLwxN3zxL3lzr+lD/ek4JiC14KbEGoE3BHpiJBT\nSWbZhQiz7zm6K966K+65opeZa/9AzI+IRGSJaqPiaquqnWvGVoqRl6yGKnpRjnih7bmYlFaXlF5X\nx6H5XJdgBbt1UuGFtYGGNSp3BEn0bkHCjE8Z57M+F9u9NkNfChy4eDV+lQ4oounToBzwJXilAi5F\nB31O+CVtuOK5DIDBCPV+O9G+rEF7s+pKKK/iW2Xlaknqzf2WPZZuWrHQE+2lkJItdSmTJONdIoWy\nSro43BKE2Ss7ZWLtEWHwmCOz8xO7MMEw4WUqEicZSYKbdUWTvfb2jeJr0xeJaW3+klnflV0RFZsT\n7iHTnZOOg3OMwXO88yqJbHCYC5qrmSf2s64y9ktJDovelz+Lzqsl4wSk0xXl0nnmztdPJ7m2qfRZ\nV7BtrCw5008zLiV254mb+0fci0x4HQkPEXdOGBr29f/lD/n6//R7/Ki3H2js/87f+Tv8yZ/8CX/6\np3/Kl770JX7v936Pf/kv/+XmO7/4i7/Ib/zGbxBjZBxHvvGNb/Dbv/3b7z3eb/53d5t/v/6LXqVL\nuJCQLiIhsnjP0e956255Kc/4c774jrEfGGs3JWsz2PkZ1yVSUp2eVHTHI5rsNASnSqk6YRmc4n9O\n8/Ajfe1u9R2+sGk3ONNxlj3X3ZHr/Mi1OzJ3pw0fwpFYek/snEYb5S0xzroUIDsGz7kXlhwYXYIu\nIV35DInRh1Ly7soxRCsbh8CZgeAWcp/VQXa5Nm5o7b2IwvkRfUliDJyHgVO/59ErTyL4yLE/csx7\nzm4AyTz2ex66K+7dDSd2BJfoOlUX3XPWMRv0JZiD9YItJxSNsqVAUq5E60vnNNJ1obTkS0WrXNkr\n0a6XRvPOl4i57AIrewM1iDGUQqDgtCFGdLUdoOH2ajDzauzLtaojkRJ9r/tWecUT3YIENdjOZXJS\nGp7t1h81+mJsnMkurORJPed6c5IzvS8NTsLCMC8sopHuImtXJZ+Vs+2yGpelVLcuwbMEt8X9G/xf\nf6aBMnVFZHksK2zMhWbYzk/ndBXm/DqOOdsqUz9NX352hURA2GL4Ilz7R667I8kdcb6hs2Z1xDmr\n2pAzCKzQH13M+Ah+Kfo8Qd/l3AliubE5I2NSx7t3xL1j3AemQUkPc+4095G1sYyTRHALyYk2WBEd\nH7eUMUFIQbTiFuHc9c0+qNZ+nAr0ONHJoteRU2EVqeZOmCOljESF7B9R5dyRysb5h//l3+Mf/tf/\nTX0u//Sf/tMfaB7/otsPNPYhBP7ZP/tn/NzP/RwxRn71V3+Vr371q/zzf/7PAfja177GT/7kT/KP\n/tE/4qd/+qdxzvHrv/7r/NRP/dR7j/e/Pvvbn+oiO5k5yCNX8shBjjiX+C4f8f/IX+f/4G/zf/JT\nNQlk2x1v+BJ/xpf4MzyRW7ln6R1jCBz3A2/TjqOYXqCmpEwvXUuqM15UV6dzWqHnSLziKf+Rv8of\n8xP8MX+LAye+yJ/X/al7xVX/yFV35Gp/5JCOlbNvn6/dFW/cNa/lhjfuFkfihvtVk0Ycx/7AFAbG\n/Y4xDapbLmd27sROziziObFjti5IOE79jhgcp/3A63SNdxHnSsLTLRdck+LQgiPtHCmpATtJwLuJ\nO/caLzM7P9LtRsbe8yLdarWuy9y4N1y5ezLge008TXvPi/QEcVGNQVm9aNSaiVlIISA5bIyNOriF\nvbunkxN38kpfnlruozrt+NI02lMZEsmVlUtVRqQe1wpeLFJNOLLLJCdIVkO49oItLAtoinCUCz+X\noqXZhUpzXV23K92RMjlkUs6k7HlbKIr3csNjSeJaRam5iZb3k3CbKtskjkM4cXBH9t2Jw057Gz+W\nOWuVuwMju3wuhURLbXpuzTcqzl805qUyh3JhJ20DDaHMezRJ7lGMxr6Z0A5Tzilt1Hl9jpvyqBxw\nJckeSnPvkYF7brnnhrfcsEjHE/+aJ+4Nd/k1Y/Y1gd8VHB1R1dohRcKi5HMfE37RHJCLojTLbs0N\nhHlhGGf6cWaYZqU6iuIqeiyn3eUWQWb9bKVRvI86x8TyKWW15YLOg+K8j3Lg6PR5WJJ+F87s/Yl9\nPrPrzgxhZphn+n6mX5ZNjgprtlTmbYXaPsPth/Lsf/7nf56f//mf3/y/r33ta5t//87v/A6/8zu/\n80NP9u92f+s/8fJ023EuXWJ17/PEq/kDvjt/gW/NX+FP57/BmIfN3zz3L+i6yE33wNS9IAfFSSff\ncWKgZ8/rIhf7CR/wiqeY8JdpiA+l9H2VN515O9/xYv6Ib88f8x/mv8Gte8PQzTzp3iBdxvvI4gOP\nHBjpueeqUiptP7JnoqsUvFZ7JqJJs5PX6LoVeBoqb+IMbGWakzhG3zN7jey3xVwGEbUUwgQoJLGW\nmlnTDSEwa+9fp5S/0fcspcr4sjAneY1+GzJls5ppyn2alcWWQb42+a5ieOKYpGdxHWfZNTQ8qqMQ\nl0rFZaN90kSwubQCrIJfuMK6KdEiCSe5GKbUJGql4NNaGm8tBY1KCeUaCu0ziLFhEllyJUmaymNg\nqdTbLisNV6SJ5oUCbaTaVSmiHm32gcyemcBjqRC2DlL2bti+KoragbcVtEnWSuyABgFSVl0rjYAL\nHo0BPts+ZYbfU55YW2R1ZseeU61PueKxwKpaiW5zbSfn2gwl4rTMrlhaiegYFbqsKw3XXeG/6ypE\nmHzgFHY8dnuOYcfgZ67kBJzoyhOTIo5o1EkTFQySynOX2uN2ka7MU2Vtrbk/ZQK6sgoQMZ0pCxCK\nMywJ/uhKJzjn8EGIS7mnUrAlkS1p3xzA+gB/5NvnWkH77/nrn+rvzEDO5XIP+cjb4x1v7j/gzdtn\nvL7/kDFtjX2/yxxvXjDe7ok3gRykRk8jAyf2vOGOFzznO3yB7/AFEm5j3A8cqyHMCEueOJ6uuX97\nx9v7D3j99kOGIRJuM3c393z59s/40H+30SnsObOrx7D9XAi1AyO3vMUTS+OJSMJXrZdWWEq1c/Yb\nAMEMoxnUVWBL91apr40obQfqb0xO+X0Vmq2uijmkVUhMGv10ZXGsUnerJs1WjG3tc2qqQ22BlAl4\nKeVxBZ7WCgG9v8tK15akt17rWoWazaA2u5dYqJqr/swG63rPtgI4Rc+nUUD0SfV5vItcyZHFvSKK\nLwybskc1XLmU/tsKoso2lOttC6COHKr0QFtAZ99TB91tnt5aV7HeUGvsbczsWVo4oBXOCY+1MU9l\nPrWNf0KdWRN9Ydnf8bYw7j/gE57zAkfkqjSm33HmKa/q9ZjWkM3NLkW6GFVSwKpIgzp2S3BDWdGV\nz8kHjk6Lvt5yzcGdES90fWTPiJNE7DxLCEw+sDhHDLrSjV0kpEJpdV4F5ZzHpUxfGTqlxkQiSSIZ\n1envfFR4zeuK20muTrLqa7kFJBIdTF7zEF6KXk7O1dGXSf2Zb5+rsf/Op+yueM1DYcEoYyXkhXns\nWd52LC8D8YUnxS31Ml470uIUY9u5jZHSCDZwYle1VL5bJOeueXhv5SiUisJxz3g/ML/siS88HASX\nEl2Y2R3O7IYzqlGiVaWtQNdUXjCrfFxVERPWEKGtRG07HeWL2dAKeFljlsvtfca+3e18rb5m2+fV\n2uOtqj5d0aLRV/qGe654JLMa78x1fYlbE9JG+3r9iYw1o74Qm0MF3s5oM+uRHSo7u2ycgjkjE8B4\nZ8WB29yfau0AzWhaj1crrqrQhqzH0LrSHWfZcy5J+XaV5FkIRbfdjudkq8PkrG1fcTCSMxJFGSAl\nuZrM6JfP1gkvKBlhkr5SJclF7qJo1VuhlFJHy8qkWbXF5nVPuFpBa/O7lfmA1ZFYi8C2H0Gdn7I2\ndjeRulveYuqmxt3f5zOHVAoa05Ehj4rNl1WYI1dHu/ROc1oGpTSsKMtQl1Qxo3RE58AlOpkRl4id\ncPYdrtvjWYiVjmpjKzhxzDnhfF8CglATtyFHYCoIS1pzOjp1yGR80H9ncUQfkLRoDU1c2KeJPk/q\nnIpI3eI9fsrImJFjIh9B3qJ4fSFK/GctqvpRby/4/gVXP2izQo873nJmzz6fWcZAevDklw7+XN7F\nu+5EE6AHId+1CvWrcVhbkd3xkmcAdZm+Co5ZtyCYc+A07ZgfOpZXHv5ckNuM6xL+aiFEU/fLBYZz\nTay6jYbV2MdGjVN5YiYZsDYv8Ruc2MyHOgqLpFU6AFbkVWEePbOdtzX+Zu5anHgqyWeLzt5yW/Xm\nDYS65oGv8E2+wjd5wuvaCL51ECbPYNCXXVvrOK0tiK0gzJCYizuVXqALHY8cmOk2OiqBhTXCXNsQ\ntucwY2VrDms72O6myljZULJGshrh+qq7r/mdwwYKc6i6Y8daubrq/6/Knx0zSebKwDHs2cdMiGq6\nkoPki4aOgx0NlZRSleudGq9cYLNUErSpOG/LLUinOLONrKxzqnWZNtfb3c5nd2mFW0Oe2OcTQmaU\nWZ0OPaEIkd3ylpRdWb1qTkxX0E/Y5zPP4kt2cWKICzfxWI2noHpCc2VwaYLZ2GMtjfp9q061lVrY\nJi4THRzpGdlqUNVPyYUpkzcrm4rcS0Tbx2aCFGjNDH4y5poa+Tn1jHkgJ8d+nghz4jCrsY9BlHjQ\nqaNxSyafEvmtwJsMb1Bjb704TO3yM2pV9Tk3HL8tP61Ly8uI1X67fur+yKH2hkylB21qe9BeGvuI\nyobaYNYjrR2VZlRD/oHr2gzdIuYd51r5aHvCMc89yzGQ3jjySyBm5EZLsbWyzojga0Lrsp2Jki7U\nbFsTDMNOI64CLuaYbIwu4RBH2zx97bhle9f8TTvWdl06TL4aexM+u+KRjpkb7qsxtXN4THQq8oJn\n3HNd4+ZWv96u0RxV+0xtlWWuZ5sr0eMoHXXhjtfcFDnANpFmz6N1gO2cEVTe+NhkTEaGDdRjEan9\nHFibjtjVJHx9iia1/Y5aY2OM7HnMdNxzy6uCHPelQGkQNf47N7LzI7s8MqQRR1b5BacyDFGcygCk\nhZBVEmB9sjqikrU1YFhSrWEIstBLJJnKpnOFAaS5i0tjGVGhswldMYwM7+hI7eLEbpkY5pHdrBBb\nDonUZeYAEhK7NGvxVqmRmCUwO3U4k6gM915O7OVM50Z9J8oKJhcVyrk4qlk65sLIatc29o6k8o4k\nVl0pW3EYRHsqIUdCmvzDVhvL3J/JjuuujUjGoEyi+26PT4khzvRxqoybpVOVy7Pb8ShXREZ2eWZJ\nZ1JySGEMyay5gYwgR7UTmo/gHcrrZ719rsb+npsadbZG6XLb/lYhjlN5Wedi7NPsyCeBt6IyoYbx\nte/dB6ixX9Yj61f0yCrONJQONbcYu2HPqcZjbcSTEeY5EE+efO/0vIA8y6ULzWpu2/Pk5om28FAr\nDCYYh79Vi1+N7PqS66e9tnae1tjbp+GzlgS9vKb2hbdVjykImuG252Gf2/Srr4qc1sbtMtlsGLAZ\nVDOwrVG9XLnotWu9geHKl/vl80xl0a2jrCT0FWRZNezbvMX7ktg27ppv2RPxNTFuWZRWbdMcU0vH\ntK5XJkFwZE8nJZYuq4hr98hNvte9OGQzuJModNanqVRfTiSZSsXresU6PtZYR42W4gwlnMkLXkTb\nAmaVeuAiWl5y4Jx3nLLmBKY8FC2osa5Qunmhnxf6KdJNUaGiLpLzXFZHkS7PZZ8Ieda5nMrTagjn\n4tRgj8URrPs6320uapBiTrnQaVll++pqNW/hJ6276TjKQcexrOvmcj+gMKJh66tWUcTjqt7U4srq\nJwv7eGafzuzimRjPjD6QvEpVm0CFK/pPYkWaUrAnY0IVDf4qY+KbveUUf0bb52rsH7mu0XXLxrjc\n5OLV3zHWJKUlEXMUGIV8RGVCJ7bVlYGVw/ounA2sy3ztEHWNI3HgsWp0r7Fb6QWVM2kJpNGRHwTe\niBYkHbMKLaVW2f19bszubzV8BnEY1zrTpv62RirU1cCCdYlSXHnrTC63vPl56zbWNYi9VMZr9+91\nIIGlaPg8sOdMYK7giyW9V0hmjRBbI9s6jXYculVsmFYF8rJ5yTZJvTKAtq5VDaE1Ge+ZmQnNU10B\ntnZftdctT9OVqNLmSwd17I3V1Ip9yTsjLWTGMs8stfuE1yo9IIldPpOBSbqqbDmj+PzoZzqns/HE\nTkXqOFQxs0M4VbrfkMfSGnNd+VU7K9vktrA64KvlxPVyVjqiVTMXxomTrEVMZeWgLCJRnf555iqe\nVGe+qXmYfVD9oqwBkArfrU1Pls6zlGJIW03U3ECTt2l7zRr901y55Xp8jlX7x3rdZic4UWM+y/Z5\npnqc1hJZ4tqYYWDi4Gf2avyLkmYfdgxZk7SehTt5za28oc8LO0b2eSSkhYwWFk5dYOoCS/D0Dwud\nLPS5NGjpshZAWhHkXybM/hgPOs2yFPVC3S83JxFfmoV7F+sy08ydEqiFPKPG3Iy6dorWfSj/f+T7\nG/vkmVPPKe15TNc4SZzdvWrtlBLvWM2ryjEs0RNHTzqKNhvYZeSccVNSz05sjMD351BtI12gMYBA\nBSxSnYCWyJyrDPLWaLdTej1Ha8i3UfHlt2yF4BpMd01UU67R8NiJjseSjG3vxSqJWwpr2yTaoq/L\n3MEKBa15hoVQYbaFUJfdq1FYmuO/W0dgypEdc72CrbPYOg67F3sGjlRwfjWfc8ldrNLRI0uBtNr1\n6uqul/q8thwgR1/GScja6ILAVAz9I1cqFd0ori7MPFC4+2V3khSgkmNlu7SOq8Xf67vVrEF8MZZ9\njnRJZRq6pcE8KTVXxjsXSL1BioW+mCAnYUFlERYK3TAnJCk7yUdNxc9h4OR3HGXP6IYNjLdNZ+ts\neB/TymGUx1SDD6WQrs4rlLxJFFeCqZWMKk2AZSs4R8JlWzGvq3JEx2shXOR1lqrx5IvekxXoIZlx\n0NXKMex5DHuOYc/Z9dx0R27CIzf+kU4ei1YSq6zGZwzlfK7G/rTstVlDcsToSdGR0rvG3vuID9p0\nJMjCKEOdwjVyNQ3oETX0x/LvpXzuy/+b+P7GPnqmuec073mYtQjp3O2Yu45UKlwtTrJzz0sgjp58\ndOR7kEPGnRNujvi0pmHfb1hta6Mr5bvb/72MpO3/q9HSpKxFq+2q4/utIy4N/eU1bd2Bvmhzk9R0\n9dWzyDfwhtvC/78m4ouW+Uue84JnvMQ451t0eKUDtucFaw+59tpt6ZkTA6eSoB0YSaXMUMgl36GO\noy/sjzZToj9NGMp/uYpsDYid1xhSdk2GAVuC+sT+oq3MqV67Obl1pTIXTXmp88KMsCWxd4xoMl0j\nXUsGW6LbchHmeMz5veYJQn4nMX5JR70ca8tJdRWKmlFTDUatpDTuoGgIpaBGPhZhPYSidWSCcmrw\nc17dp+SIL4JzYUlFbXPPvdzy2t1ybGjENnbGEDK9+56JQ8m6bJ1yM4+FWrPQiI2UMdu2YGypvwLM\nhQDQ5TJeecbnpdZG7DgXhc3SDrEwnnyO+Cnjzxk/ZsI5sQTPOASmXce4Cxy7fdH7f8IbueMxXfER\nL/iIF3jgmhMuN8Jnhkh8htvnauynSbvXp+jJiyctnrQ0L6BFEyHCMEMUGIQYVP0OKAUPa8rTMvos\nrIb/jPZ3tMj++w3iIuSzJ5860rHH+QUOHrcXXVn42BinElMsjnwW8iOaTT8AR3ANjHNpVC+jPnfx\naUbIcG6NoN3GGK4R2VIjk9VQJ9bUZC7RuDWQ2NIev58TsgjeErA22ddr1rGwFo0f8LpGwBbpBpZK\n52vTwUY9NaNoydOWJdM2O5mZSAgDE0/4hGseisHcxoJrtiG9c09rPmJbR7A6Uv0rG1c7lq2w9Or1\n2zNdZW294a5QT/XVCQWi2mZp2sbuNoLrdSkyvKVvWlxpz8DwcjPlZvAOHHnKK85ooVnPVKWguzw3\n91OOa7IH5dNnE5rTZCpZJUDuwzWz61lyx2E66T6eOCynSo2UJKSYid4zSafKlkGblPtSKevSwjCN\npcVfwiVlsgRRtkxG+ehn+ndWOys0p0+ohQJXuMxC4TVezxfPXJoVZpsjq3mKi3xRJ0UCWkrfirra\nLk+wVFr7mEstwIKcwJ1yEUfLqqEFqqOVIUjkiiOeVFqf9tzOD9yd7tnfn5BPksLPBjMX/a/mtD/y\n7XM19vPUQRLS7MlzIM9q9KtnswrJfiEWFEScGr7kRCV+xVDl8vBMpz2hEb3BOkfU0JeWZu+/ICE/\nevJbT37TQQeyOBzg+8TKQ2kMpFJw4Sj6sG5BzorZS7rkw7TTMG+mdmv4NAudYgAAIABJREFUbWpt\nJ7L9tYEIBijFauzX710mX201sIUs1iXwasouE5+2KvFEjEVz+fu2m1eb1LQcyHrt+tmxkBnr3+sw\nrmJyZ3YXsb8rL/rIgUdNfpW/a416+31LYlPcgiZofb3SqURx7zMwbYTZOjYz0bayO5cov2diZGTH\nymGncp+kGHTt6dqO6Wr81xVjyr5G74LSOM1QHTiyz6ca3V6XDmVZv6yGPcWijRNrpFjnQzHwyZW7\nEq84uv1NTExYV6cnvHFPeJArnslrnqZPYBF2jPgUq/icZIjBce53PPgDD/0VY+g4RJUGOaQju2Up\n58mlhkDnsDY2GbnK98w5NGV4+rm65aZegRXMzO/MxjZTszpvXVk14yEt9VqPZnUcI0M9X7tCM6fo\ns0pOS9HiCTHRxYSMal9Ksa5SMruM7FSGwlZWGqjouPXLzHBeGB5m3OusMPCJVSvnLxOMU7ck21Zc\nbWI1Q04oHzkIKWphFKIe1udihEX11sVnCHlNchiU07NqTzQMhNboyjEjLxLy5xm+jeLvfyXpy7CL\nhP0WH76EG7Zp0fW4Ldq+/pzemao/bGsdQijRsUV86gSsdV3CEaqpKzFGqeZb+evrEnblUed6F7o9\n1gJ3lWowWMP44v7C6DpSA0mcOPDYOLPVQayrEmVY2HFrdHUBP6RiYLV6VCUcWmTXsNQVGLmcyrkk\njQ8VcDGD0u4tJrw6zfUOhMwt9+w58yHf47J4KxJ4W4rPzLE4cgF9dCSf8+KdHIFF10avzJRuXW4o\n/RkCu3TWPY7s0hkK/97K+4VW18c6ZLkqCVyplk2P2yxSZKFFe6cSOImyjnyJvvsw4nczuEjqtCgo\neSEVMbnRdxxdz8kNHJ0aTG0cU4TafFhlqsunBmYJXxxAiApJrtkSV+iIWWEZV6gDpZDK5AhWE69b\nWxseCaUjmsIxXWELjTLUfZJ1RWE5JstDPRRYcogTt8s9t8sDh0XbWio3X2U5lgCuyEdLr5AWXcaF\nXHONkLficynTNT0dWLIGow8oQvCSteH494Gd//9un6ux9z5qUwEfSQ5wspbDJ6OFlf6c5aGr6FLp\nyC6G70WFWHxC+qzJ2H05iYK4yrHfo0bfEKBNHKhe26XUaFmDixotGTvEXuGhGLq9P9N3M34X4ZBh\nr0s4F8o11qXoJedopfq1LJQ1Bt7yadaYdU2omWEy+li7ilhoS+P1czWeK5bcbgbDrNAD1SBenrut\n1L3MK5hB1/qEsbm3tLmPFo9fn0ckEJpFtZ5nZUMrhbFNrlp8tnUpsjnu+zJe7XVWWuGFk7kcIyFz\nyA1mnBXWWXL5i9xxlqFEnkrbExKDjKUQ8A233G/kbwNLlR22xiMRr8SEgg1HKZTBgif7HGv7SKNf\nQq5CY8Gp1MNYqmvNaVzmMayloUkyGChmq5wdZ4JX2CR6YewDONYqVO9KMVVXVjQAmVkCWfYlcX9g\nyGsNwS6fteUgrraUJMsagReYJiPKuUe/k8sn9lmrsHJlNTocUuZxqj+V+80q+pBEixstkm/ntiXv\nawCWqb0UhmlmP03soxZIpa7IZXdBYR1UEC77TA6oHr+DLmX8UhyTrCFYkIx3GQmp2qUcIZ+Be8hF\nBti6lf6ot8/V2HfDTE5CdIEYErHPMKfSKUHKJzAk3C4R9gthmOm6uSgGaud4LwvOR1yfkF1Wwy5o\nBdoBXS08R9t97fUubcIbftwzE64W/IcJ12fkSUa6jLtL+LtYm5TvG8y0Y+aqe2C4OhOeLMhHyrF3\ntxm3U4y/xUttayeW8rKFme4i0s4b02UlTAEt9XhfJGqbOYfWAGfknSj2fca+dUQG0TzhdY1BzUBu\nwY/t3oI2qYnl1+jfTIpUSKOt2p3pCvdCDb5dsUk1vK/mwFZZrWjXSke1a1krbI3Lf5mwu2TnwDay\nB9YlfYqrfo5JI6ZGKK1E1dmVArCi/OiJhbmhOHZIWQXThKqPY60xW816VVt0SA7knCvt8lHWSt4d\nZ3b+XCtbH6WszOSaRw61ibjNY517qy5RxFXDElCFUuciyTnG3CEcSKxS4PqpM8ZyCMphV+Lso7U2\nFG0kfu0f6tyY6Zjy2sd2rTSeCmNJjb3NY6sO1mi4MKW8NjVJZbXRzt+MFCE5Xf1YH+Blc92urrBs\nlX6VVajN2jt2KdKnhT5q96ocheQ9s5QK397hXSL0Eb8v15YT4orzXRS50EY1ZTWGKPpwQNGHBOkT\nyEMxfVMx+kCf/xIY+9vuLTmLRgmdV1ndeNEOKElh4syEbsaHmWtnOn86ga7kkX13ptvP+JuIfIAa\n9aXZn6FFVVfoILNm542atRtOHJ48crV/y80Hr+nczGF4YNidCP1cv7fnxBWPDIwcdkeG25Hw4YJ8\nnJGn4J4kwl61VUIsVLDCELAOPTYhjYZn+LmZJ+P6rpWC69og4DAOutWD0hhh2y6NvUWwVk9oiUDb\nzBiuRTpxY+jMGbQGtEU+21VMC01dwlWVwWDU1JKwW6SjR/uitsczmKPPMym52mi8TfoKpaAorxRM\nl5vzZ7PJrigRqtaKRVuOopSZy4jlXCPfxaRsJZBEVNcGbTjj86Kcc/JWFtmVtKwTYtbo12oPFgna\nfxTlWXdpKWqdmVxaFcbaC1nvz6LlhcBJtI5+1U09cOSqwhA7zrVbmq1Fl5IE1ue8ykmA5iBsRbbO\nn/VJL6KUxCiKbbcg3GVyc6lufEu/9Wh4upSIeiHoGyxXlUqrqpjru71dDyttcsgTkidCUt2iJB5E\nSM6ItSuJwRKyqp/fUZn0WejSwg33kB/ecfKhaAvpykufrwhIB8of0d4AS+c0wnfafIWkUI6b0JWG\nda8qej7WK9lnIGUlcWRwHmSHNiIKhfwUIZXC0P6HI7yfavtcjf2ToOuU1DWLy/fx7ElVNMqRCgfC\ndlVtueqO7K5GwpMIz3P1lnV/ghr8axpjv1X82w8nroc33OWXPOM7eBauec1ejhWyUFlWxaL3cmI/\nHBnuRsIXFhizauM8jfh90ViJsxp7l4o6X8tLVmhoLoZ15XuYQ7A4RFO2LZfGWDB7jrV94am+zOt4\nGkCUkfo3Zh5aY69JxFWHZ6JD0KI1IzVa4rBN/QqumJFIxJVcwipzoFDIypJR416w5ZyRpHcbxWvi\nsGnEoeNUVgMpEQqPOSypYtLtZglD3TONnVyZXWXRqMqW+oW1zR6GCtS/jS6QvWPxQbsciXVFKX+L\nVl+C8sjriZotopXFD3LNg7vmJHsGZyDCuSZgW4NjjtrGQMgNiLhylfQoGq8LsC1CWs3xgMJI7bM+\ncahwjq2MMq3cxipbp4V8+r1lc5aVImpU1IXAE15vdpuRGeHMjkeueMkzXvGUlzxjZOApr+q+ZUrp\n58BE4oiDkjPLzVuiZXE2X0xMUMepXyGbnDjkJnls4XNrbwxSq7o32gho6V1dRWSxcKfYkSXhT5lw\nhHAEvLAchLTXRuU5QJjUwPuyV8IIaNvIoPOz+AJsin9Gtv7zNfb/7ev/AWiZJlus1bbLyHAvJ565\nFzyTlzx1Lzlw5OPrb3L6yp7h2Zkv/vi3mFO3jlKG6+GeD2++x4c33+HD6+9ylR+5nh+5mY/czo/c\nLUd+gv+bZ+4t/4X8O74nX8eRuM4l0sgP7OSElM5QEiLZw195+m3G7n/n6qMHvvy3vslH4Tv85NUf\n89cO/4Gb7oH9NPJReslNPvGl9D2mPDCU5hL6eaYLmRwCS9czdgPR+U2Dkz5P+CXpRFkybkkMMjHI\nWJqYjKof753mPbzgRUvatYepLj+DmwluIXj9NKuWoTazyNGRoyNFXWkdux2nsOMYdpyCo49zaQo9\nsls0VzCXqsA5dCQvhDmym2f2y5n9fCYFyJ1inClI6fgj+CURlqxdiFjZFQnHHAJTCMxdzxQCXiKD\nTPQy49ykjqJtS1jKE0qaZ9MCzra6YPRSRMZYG4kXQbK185FG6RlNsnVEUl7ZHWa4/j/u3h12kiU7\n7/ydiMjMqvo/uvveOzOcJx8iCQyJxTrkrujJk2iIhiBgx9qFIAF0ZIwjjCt5BNYkHVrCGrsE6Y1F\nGgQhawFyQGcXklYUOaJmOJzHfXT3/1FVmRkRZ40TkRlZ/75X1ODeS4A5yKm+3VVZWZmRJ0585zvf\nl3HMrifXIqgGQo702TxIhzizIyH+RO8Th3BidsXMo0I7pCXjrXCKQgNYRTo1GEHSaaknRWd6LbO3\nph0VGu53gQ5dqXVVc/PmSQKWOkGtPygUeMY0ebJ4C6flPV6TceRZVS4T3lZb9dgqqzGLbOUo3MXk\n8pxXfIG/JmNy4gc1ptFeTw1UVCYf5ziy58Fdo97SmJ6iL6Qj+3jCRcVFzDYwwuQTXVf3GcnKfhzZ\nnyd2Y2SYc3FvW/csjuhM/sD0dtbVn0s2Zskg2cayJHCjLrtEa4xTLemNKz2/OSNTxp0ynHXtAaoM\nwWyYfc6Q8hrsP6lo/6kG+//15f/1433QlVmw7HMIfH7/Q+RGuQ2v+FL4yyYLta1lkQwYm2E3jxyO\nZ65OZ65PZ27ke/yk+14FvTeTBQrJO867gdO+57zrOYWBd27fJdzOvM17/DR/zm2+53Pph3wu/YhD\nOtHHyG664635tS3v5uakarY5dJz3M90+4byibm3mqQP/MI3szyP708jhfN7qaHgYu57UBWIXmFxE\nVLmaT1yfTlydbV8GdDGfrlKxFRMmF1/s2V41Oe52V/hdJu+FOXQMceTm/MjN6YHb0yMIPO73POz3\nPO73zK6jmxPDaWZ/mrg6nUk7x7zzxL11VVZ7tzBBKCbVJtbCsh93jrizDHTyA75kcjXrLVEJmSkP\nN+t9q3sN+NLsFZ4QFtlfy9QMNhGynYtms0hUUzo0qoUWTLtZD6kw45lkYHSlR0Aj5BNhVtxs0FLo\nErtw5jrbhGfFx5LkiHDCMTnPKKYOCcJODVvvdWaXJ7qp6tFE+imaJEEQW/oHoWJVdWVTf1v2rkgY\n2A1vV3M12NcdKF66Bl0ZF7/k+oXOaZo8Jk42mwN30cGx3+rJRddnlWBe1wlrHesZdw1YVCadei5l\nBWEyw4axn9hzdGVdGg6gcJvvuE3KLp3Zp9EC7mTB14/Q9Ylul+h3kV5HyDCcZobHyPCY6EYl7yHv\nQPdl+HmDZsxGsUNU6fJsgb7UDIy8UWCb6ipVA3cCvEAEjYLOJQs5i+2Fnklq9gwaC3yTIKW/Y5k9\nL3/Mz3mQARjs1aP0MnPIZ270gbMOa9MVANIAIEWtUntSCqTo0cmtOtJtgG9fwQq7OZvFXmcZ11Bg\nkVgu3UGODP6MuMQcHKMLhGISzVHxJ12DUnmNzjP2A4/5itf6bMFQa0MTig2i2jPwwGIgXvfszZ92\noueseyKeLmbiOJOPDo5GC6vXDFjs+7QJ9jJjnOEzMJd2cx/p+5lBbZUR0oyfMnJWcOBCousjvU7G\nKc4zIUXcnJHJmFTBJcSbLaJgHOVKuwNWaYvy6pNpnOwUAx1yNl7yHOlmJZSHSkqWS2adoNt7J+vf\niZYlemwmOerqxlypqmRtlbD1AhITwWd6Hwv2ytpRqnCQmSSnUg9wpUs04edEiFaT8F5xHoJXozoW\nDfZ6riFA30cO3YmxuweBPs22Z1uduUnLnqHgwt4pzoEvkFT7W1XU4AGf0CAQ0pPvhcJ0g2alp6ik\nJVNvPWpFlewyycfCxrGJw2dT3PQFAuklk5nI5bpcrs5Zalj1LBropPjOZlGyxKVgvXcj1/6RyfVM\n3lbu+3liN43sppF+UmQ2CFcmYIYQEy4q3RQ5nMu5Toqby8on2Kn4CHqyVy+Jvny3MoHWczNaq5Qx\nuoyDVK5nRfHUmiq7nPCnjL4qcE/SMjmUxKatKc6go+H0MUIs2f1lCPo4t78dnv2PuTXMq4059NMV\nfIUIVhlUEFuCFqwYx1MbsIurvBYlEwGhQwpVbGXb1IKetbLvcJrpfaJ3ESlsjE2mWTLMBXeUbpmW\noBaa1iYoefNJgaxnp2IFzEsK4pu2Ncu1Y4joEiNZj8jCoNG1q3E9wIccvPmN1Z4t01JpM87pGqTf\n2Oymm8Nt7rc2/1D3JrOvgUSbS6BvuhzNpKCCQWGqSMWCinGJr+eYLwK+yzhX7o6sxXVXeNjKyq6p\n18E6UEtBWNXMrctKov6wUK75pTds/c1S3l4npuWfy/lV45IsbtGdkiVztu8Gy2JT4cUj6z2XZlxT\n6xj1WapUSBpZMil+tOU7fFklCbrlxwv2+eWaF0ipTLS+FLqdpPWeCQRf6jzBYClVoUszYU740eQK\n2kwZLLC6ydylmDG4DltdxbBCeBQYT12VQlBCaU5Ddb36tadBKfo5dhPUlRVb8UGWjJmdJ0WmvMan\nOk4D6yRRe4waSCdnw+0/ye3TDfYvfszP1YtVqt3qhLl4kz5wzUueP4FxWnaAI5NkZAw981DE1OpC\noL3Al1miU9w+E4ZkS+gy/E0n/cBrnpVC2co6QRy5H+Ew4d0Iu/RkMpFB8V0i+FW7feXzF0wyzPid\nMRAW+KbAWHSYXZvPeFfs5SQTQsQNxtvGXUA4BcbJpVCpDsiCqh1aXcEUd+X41R+zSrH2QCqDvzfc\neJKeWTqCz8QukocZzZAGzzSEslvj1+CiTYDRJsEFZy978r7c04ETA0ES6hwStBS8Wb07Ww9PR2kS\nWlcteUPwkgW20iYAq7MHvza8VGnaujB405xZGT7RVQlc47yHZRVixtIOZQ7eahDBE70nJGsuCjni\nU2L2poc++oFRetSJ0fZCYYbkaLhzb7LCbk4bE+zFYL25Joow9h3j0HPue8a+M55+NunhLpvG/ewM\ncpldh0oRE2u4NRS/XynZ99w6ZImJ4y1WKGr1haUrt4ifmQGLs93Lyp8v0woKIdlKKCTbF4/hsoLK\nBEbZc+8OPOgVWYUbPXKtR3x+ZMiz3af6fLTPb4FaNAjz3jPvbI9DiQiyVmOMYjkzpMgQ5zIeHTEY\nzVOx1UGYcnlVUi/E3miYsfe4WQnnRDhnunNC4sWKvo6p2umf19/pyjPYhrtPYvtUg/3/+eJ/ASpi\nty0ctdv6L5aR7Dnxlnuft+V93nYfsNcT3z99jj87/Tx/dvx5/uz081agbZZV++HI85tXPL95yfPr\nl7zYf8BjOHC3u6bvJvxu5iXPedlwArwm0xNU0xc8yJEQZnw3E8KMaOL9+3f49t3f49v3P8tf3P8s\nV8MDX7j5Hp+/+Wu+cPs9nnevTcDN2YMaUrQGE0YGNT7FK3/D++EF73Zv80P3uSWjqsJXKnDsdzzI\nFbkL5IOnk5neTXRuonczswuMvuKsdoRTN5DEce4GXh9ujCroIt6bJ+qybF8gjRL0OodGR86OMfSc\nu54xGAM6B0feeSbfcxwOqMDU9Yxdx+Q7kjimrsORIGTyDpIXUudM08gJDsuqcJ7swXeuZMpliawQ\ng5CD4rpEJ0US2SUIxkdPTsr9lTXLr7/Dra81k8wLZk/JUnU7vhp2j9TsuqRjroFsoEyQXki+YOLl\nqXWS6FCTFfYJRUkeEsLsHdE7ordgn50Q1eNyhzQ4eHSGU2tJ3SunfZbAhOJ9xncZl0wmeZTBrBrF\nmCaDTgzZmpcC0RhEwZG9Q0ImqZC1Y1aP06EIkvWLy1QSv0mKXMHag660xFo4rZi6YmydU5Pk9LkY\nqueZXue1flCgrlH6wt4xDD5psPqUnDj4E/t8MmLBbNozXYyElOh14kow7j/CXkcGmfA+QQfRu8bB\ny1lTZFx3vBaCBbgAzuu6KsHsCb1GvLNiLLqupGoikb1x9sfOwWCEBkKB54KiwbpncxDioEyHYBl+\nk3CKKuJYiQYzuAG6HbgrCDfGtQfYINIf4/apBvv//fnXMRrYdnitmz2dW/uOxGf5Eb/Af+AX+ff8\nIv+BL8a/5jvvf5n/53v/I3/8vb/Pn3zv7zNOuw0G/Paz9/jpr/w5P/OVv+Cnv/znHA6PPHYHQjeT\nUUYcf8bP8x/5Kv+ffpX/yFfpmfiyfJev8B2+zHf5PN8vNsq2H/KRH3zwef7Df/0f+NP/+st86zv/\nM8+fv+Tnv/Kf+Lmf/E88dle8PbxH7ld1FUF5zite8HJ5/RFv8X0+w1/xRf6KLy0NT3tOvOAlWRz3\n3TX3nUnZPnDNFY+LuG2lXhrNzDoZZwJT35H7lXpZ+fW1KazlxINR7uau1UDsFtLkonUTBo4h4/Zb\nLv16x5SxC+RuYMZxopper7CAoGQnTNYWt4Eo6p9rAO2YqAxq7xIiiSwwlxSpzdYvt9pSX99j8E/F\nXSv1s9QOsuH5LQ1TS83TlWKcy/YL5w6iWMEzBmv2CRpxed5SQj0kT6GTrisMsDqNYuylFg6pfPd6\nP5bnQSwrpblKdSS+4jmveYYnbWjJ1WGs0i975sVXdaUrdhs6Z202a6mfAyO9rKvMDfaOTUilLXH5\n/N4VUQp/JhfTm7bn45Fr3uUzvM/bvMtnOMuOZ/4Vz739ome85up04iqeuUony5L9zLVG9jzyTKQ0\nq6kpPQS7x7EPjH3g3HeMfSELTDPDaLsn44K5RbmcCHFd4dXdZy00X8PYcSCuBGeXyc4zhY4p9Iw7\nm2gv/RpSEEtY9qWHQXXR1amrOS+KVzHF0Ki4Pbhr6G6Bt5qBvAUpPrbtUw32L/MLVIWYAil5YrTX\nTVOVCsHPdN1ke5jY+xMP3PBQw51ec4p7pqknnQI8yiooVAo1RNBnjnx0pFiCYeHfdsWh5v78jNen\nt3h5fof3T59j78+8tbtj3O9Je2/0weUh6ZlIzGNHuvfk9z38teDHTHc7sfvMietotM1WJ6V+3gKz\nMfYrh3nPiWe8xkSv7EEFlkaVRteTqu0OLA0yrQZkbkJs/cxcGgyqQNmllEPN0NrmGBbMvsrf2gPe\nPuwtdbb+dzWWGYs8bRtAKg2vauNUXLidNtYFfi3oFbxVZX2V9ftWrHlNG1qcVZGVPuesVnDJ/vBa\n1CZlDag+Zzox6mVX5DRcBh/LddO0nrFAdqUYWQqNqBIKBtznjOoM6jZc/8VYvFgFJucKrJEXnXSn\nuqwK6goBWLxeq7poy8QHiib+Kiz3NGtfHZrqSvLS3L5O9nX8vGmCV6xJsS9SB1V7KZexsC69WM7z\nBS8ZGHnBS2bCpu+grny7PFtHaimIVrVNTSZJkMXglak3iGhyZiwyFWgNF/FeCV0iFXpxCs4MU4Jd\nx2piP2KrpKGb2PuRXXdmvzPzEZeN+tyNJi3uO+i6RB9mdt3ZJBUqNFe7exeY0H6zLwmGic6VMeIU\n12NNoIdm37OVfPkEtk/XljDfoNkRp0CcOnudw4VcgtANE/3uTL8/07szR1/Nnq+WpeA5D8yxI1Vm\nzQlrWijMEg1CPglpcsRsLT8jPR27hdb3MN7wcHfL/evn3L16i9Q/cnp2xfR8IIdQgr2VKid600WZ\ne+IpkO8dvAQXMt1xZjeeOeQjVzxSpQuqSEGrtNPqvOw5ccsdgbh4typVl9uKyzUIRUwlMOOK4YJu\nwjCsAav+GUr2zmqv2PKfgc0aqg0Ol9257fEvlX/sLNbtTcds23JMTG17rpddjYlK9+uaiWi7tRz4\nGuzr39RVlZdcOO75yTWotM52N4GumR0zg04EScb7FiGpkNKWp68ipb5TirhoyRQTXUr0MeHzZO+v\nbk5OFp2ZpJ6kDlHoCpunmxM+KVPnS0+DZ5LAwMSNPpSJdC3f18ktl47XRXNRuqXZrf5mQQnN+Ej4\nzVioE3dNLuz9W+G4y3EBskwQDmWmLfjamZoM88wtdwuZQNClk9hkic03wUgNzWRRzIqyiDU6BU/s\nbZV12dErDqZgx8ze+iQqxJO9Y3ah9uEvPfkHf+TaP3DdPZAQdvNIPxqk5M9FqnlQupSIvZmi1J4R\nX2AjavgqPR2IrQwrm8fV4mxlFgprkB+wmli3XM5PZPtUg32avRmXTIE8BXTqYAqF5bBisipFYS+t\n3XK1Y67NQutQWgpqtZhYCpOWPa06K4FdGajWiXdMB87TQDwFsxnsQXtBD0LO6wCug8mRmV0geU/u\nBO1BeiuM9n5iJ+clW2q7+7R5GGrQcqTFnKE6Ggm5fPbDNWGMfOFolf/arQ346wO4DeA10MHTwHxZ\nQ2mzePvuVVU+2qK6ERGeS4apy6+135qXjtFWMbRuNVi359fCDLVL83KyMvey9fzXPt6wZKVrkFol\nc9sJYgtRKL2b2XXFDLw3Aa9RDCuvmDmFJlTJOxljviRvzUZdmLlN99ymO56Fe67zg+H93rL57P1S\nGA4p0cW5NHYVNklSyIpPlt46HJ1Ohb0iS4OPihQ7wNI0VjFyrPO3UiDrKghZ73erGdTee4Ncrpbu\n2CMHbrlbjGluuCcQl/ccOTDRXxi6lM5eLROFRstuF7FBKwAvdobBXoPLhN5YTXRYPSjYhDcHw+WX\n59zpZqzX+xnFyAMP7gCdLJNV1du3O1cPU8fAVt9p/Q6KrhaEXFg+UdBzWlZyUplQXqxBq9R2cKDJ\nvslXCpXH6NCV8HAor7W4/EZ22se3fbpsnAK1Lh1+Li8GxEvPuoJZ3OjSStyWaxdBgUKh1MJSKemK\nbQ7YCdpbsSq6Fatsw9rkemIXSL2DfWGsDLYqMK2T7WTjJZVA79Cdg4Mge8X3iRCisWiYGBmeZMbt\nbwBr764KljUISpmE2laU+rmadVlQWwdpm+NdZvWGha+c58ts1qCgsAmYl1sb6LeT1gobmVG5x6yb\nw5NAXjPKFWp5ul92XNbfWx/WNkC317WuXFosukprwQpzpKLT2F6f9ZetMFUnM5NY1+uMGVpvfZ2q\nQuJ6pJpV17pxUsfZDeBvmHPgXg/2784tLJUuz9YVjRVYcUpCiOKsQUfF6JG+vOIWambQbNRCBzYv\nCFUxvzI8rIitbMGxQvmtTVTi6SUSJBGKsqwTg7k6LU1+euI23/NWfsWL/Jrn+R5X2FF407lSJ/Ra\nrr4a1h9yXOSNO42LdZ9NZpSxZyumqGX6D5BEyMEz94HkDHaZvTdT48uCAAAgAElEQVQigpMFhvM5\nL+M7l2L3JP1SEG7HeFvHqPpPrsBZADs9s1ODkzq1rttRes6dJzuPJIzVpKUIHec631tdXyow4co5\nu8UHN4uSnHVlWz3ICrRu0m1TVssk+oS2T1fiOCTUWYu2Ooo8aC5YPZbVq0AXkSEiIRUVu7wEmyUw\nVUpXJ7YM0vJrOoyGdhDyYAOnZveXexo8+cZZIeyqfH5fPhtKhrTsJQvynjw4dC9wA3JlipfGwFk1\nSt7IkS9bG3hbLZk2c7/0lKpBdh3E1Vyl4uArlgwtYrqeg8cU8LeF0W05fNW1WfH9y2x/GyLr0ewB\nm9k6EBlEs+1m9gu0te5toG8z+IGxCL+tBcy2RmFBMG4mouohIOhi47jjXIL+NrNtM9oFt2/Ort4j\n8/19YJ0q1ut6KeOcJHCUA0c58Mo/58yuvLOuBpSDO3IjD1z7e24Qgsb1Xqid11pYteA8FF37fTqz\nyyNCLt2yxptHhDBn61aeMz4qaN6w1LQUOimw0uyD+cKGHacwMPreGDVF/qHLM90c6aZEmDPdbLBW\nt0schjM3u3vm3tOXQNhnC/i+SFD4Io/hdCHu25Wo9Yui+pmKTlL25e7rylCq181rtkkkxQVXj4WR\ndnIH7v31ZpVYk4x6n9uJut7fKx4t2OeRoVzXiZ5Hd+C1f8Zr94yZjufp9WZH1/yUskpJwRODZ3be\nFDmd4kJeGrRCzIRZCQ8ZuVPkJdYw+RE+2R/n9qkG+96ZK7uTTPLGKU59ySYLFqOK8c/DbIVaV2fl\n1VRYETNfCAKdQDFBpm2wOIAOjty5Req0hSsyRp9y+0QIE/3uSO9O+G5CugSeJqA0wcU7g3r2wDXI\nQZFBkaJn/2HNULKExAuKG6070voZbT6xYtHboueaE5sn0uVmz7dbzmDJhFiZQpeWKm0gb89jDezb\nNcWa227f2U4UNayue9q871IUrBUGqxDctsy4vRY1+4cVMhqKM1YrodtKQ9dfs66N1mtiV9RdGJ6s\nOo+6+YV1ctDlSBkrnp9lV7hTN5szr3ezl6m4XTmcSJN/rnWKJdhj8MRZdtw7U2g0CqH1VEhtBPPF\nV8EpPqxqo74oO1qi5TaSET4nDuOJ3Wk0nRuiad2IqXRKXOGKpblotpXSPp9JkzeyeNmj68jlfyoZ\n7zITwbT2i8xEEr/Qgp0znn+URlJPAg5bYRgUNK+/pVxDZFX0PIuJs/kCj7b1me2zL41eZwH9NJWC\nq7lQIYmeyOBH9u5ksurO5CqmHHjMO+seLnLVvnTahtm6dwMG946h5+iNxjy5wIEzV+nMYT5zNZ2R\nuUzENvusmP0ntH36wR4huGgZMu6NqpdVLKoOuL4U9Wq2RovPF0kAakdswb70IOhOSrB3TwK9IkjI\nBDfRdyd2+sDAkc6NOImo0+axbIKtL7z0XVkN7EEG49k69zRPBJCLv1vzU3uU2yDQThK1GFrhnKdm\nHS2Z/Om2ht66GtgGS1sx1bC3fqYVvm3PvM2s28y4fXA88cl5VKnodjmtDZxU39Nm1CO9FeLZcSyG\n4+37gc2vqcduz7FmeJcFxq0jlmwm8xYOqqyWfgFxJqofQTvZ+Oa46wRlPJNzQbEvJ7NYmFoV1msn\nt3p2l6uYWXqSX6/9gkcvFZSEC9spsdep9HeYTy1ULRw7E0nQnyO7caI/R7oxLrCotvCoFv63t3Js\nnzN9Yb6pM5OTqe4hmPa/T6QcCVkZpePeXXMnt9y7GybpueJxI9p8qfIZNCKcTGuo6PAAi1Z9Vsfk\nOia3rhtbn+P6Wq/pyEAkLIKDdZRLaeRy2UzUkcxORpMyVmVygSARcZmRjsQ1Q5zp5wjRNHQMnkpI\nSpBgFOU8HHjc3fCKW+66a17oa1J+jU9wiOOazZus598tD9p9acPI0mSHb+ggWJZhYvBEfcjqsgxY\nA/0OC7qRFffKINdqLlKd4tzTrLpmgL0b2YvJBldeeiczTvImWC4B3ws6iK0cbkCuMd/JbnXSarMK\n16xI2kBew3a7fzjss16XysH5sAniv3dbM+y1QlShq+23r1sNnC2ksQ3DW6DnEpS6nDyeAiM04XnN\nbC9x/fYItR7Q5s/1gQ9sYZkKeV1OzfW3Ve9QuxZFkIs9r3nGiR37JYSbFWO1rFynSCkTkK0wIqsT\n0qb2UCQGXDH0dotmzXqde6bl2KvE8bBJXhx5qUfVYvkyAelcuN51NWAdyfbsGcYfcraViVi2XFfI\nUtWAS6FyqY9dtMaoULq5E0Eq/SEtrlsum6lHz8TBGSQ30xUKqBmwtgG5/saeCa/WWEW2MXHHLfdy\nw5275YFro9eKXdNrHpb757AmLIujFjv2hf+/nfSjNWiJMnlP6gdOHPjAveB9eYsP3AtO7Jv7bff+\nJj1yMz2i45FuTKBWQ8lV094ndt2RFyGxc0de0HPQMwc15y7JeSMEuOyf4PapBvsDx/VBl3XoX25b\nqCMveGt9WEUwR4AB2Ctc67bIoRjEslekz2ZreJFZeaxTc8fIQY5cc1+Uwk9lcLRBtJyrGL6vA+iV\nmNn4lUkquK6YWyyBftW3WYPyFoRY/20b6NesfQum1BywXqPLMu5Hbe2aoF0nXO713es3XQbx7YRZ\noZrtimPdLv+urRW0Oxefqn9XJ+Va51hBtdQcby1G1/O2vt2nv60GyNh8pp18LtVSK0w1MjATeCym\nIT2GmfdNJtmuj2qdoqU2tldz0HHJWBf9oeq/isEy1cDFrAknzuzomTkVdsllQd3Oa2LQqn4/0uVo\nuHvhhAtaaKOpiOHZMtm6njtExETDYsbNhVZYs/sCN6iXRZnStKYE9QbhiCp9mpEikuYKx1wlsdcR\np9DnyOzC0u0cJRQIZ7U6dLpCUFWYLann0V3xnrzDj9xn+UDeWpoMb7hfmspWWPTNz5svE1/IBm9V\nOGvygSw9j3IoRzMX4TN7KPCV12ymOnMgR49GgdmKszGYk1XsPbmoku5cCe5zdSnLBG0Qisv9E9w+\n1WB/xePFo/c0ONS/bZHhA4/sOC1YnJBNHKlX5ADc8jTYHxRXM27fan+sS/g6S19x5IYHqg3hsHRx\nPs1GNcgK4TzDVg+FkWPBvuail6bjK2xjS/8tDbA+TW2eX4PY2l61vv8per0NzTVI1c2w820LlaDl\nssmyYnizqcY2J63XohpO1HvWflcbRIHlWOtd39JS7Vz8cuYOZeBMz8gN95tjtq9PoaX1F9r3ruh3\nxeLfhP3X4w3l+655oMJDVxzxJK554LO8u4yfUHZprjpY0B2KF29fMvt2lQiw1xNX+ZFdPtNlY3dU\nkbjKBHNJ6VNknyb28cxBJpJ7IIonFl3+zXNT3LaWxrEiuuaLqqTT0jGcdTF1ieIZu4GxG5gOA7P2\n7Mdz0YAf2Y/nwoU3qIMZJu146A48dFfcd1eMvudKjxzyI1fxyGE+mrdzgfFFbaLudeRQoK5ZAo/h\nwEM48Fh2Y8ScudKjrbB1Xlb4HtPVR2wirNDV9jl+XLL4NeHSJ9eomxN9kY3upsjY9Zz6ntibplAS\nxy2vueGOr/AdRNVgmzgvr4uzVRdxPnP2A/fdFffhmvvuiiSO62j+GVfxkat4Qo6Ki2UkVNjmcrcH\n5BPZPtVgf8M9sM0VPyzYt/sVj+w5LQbRXhKuS8ghmS6oGC95DfaCDCDXGT+sgmOVPNcaTh+K89Mt\nd/RMVp3nvGRsNUgswazDGiFuyrkOilxnZMg4v4VvLsNKnQDSxb8BG0ChvQbrZ9NmwmjBh8sJqf65\nPRawwXYrB16RJRC3n22ZP2twXVcbbfi/vHeX97Rmy1s4rk7mvvwvbQJzLufw1AJjvSLt1DUTlvfW\nz9lv3hJZL9d3bxqLlcAZCVS63sBEwAy5L6ebFeYrx1MIaj6mTh8tyNYrVRqgujwzpJEhTwypFE79\njDhTe4zi2aVihpIm+hTXJvNWpvpiq1mqUlgueKKWvLaadhcFUkSJzgrJZ2f7RE/yUgT3FNmtq44a\naEcXuO+u+KB7wfvhBcew51m645m8toCcTIOGohIpakwaX5zHhmQ5vKoUKRq7gtUnd1fgEmDpGxjd\nYI2Nkrni0SSQF6Ud2/c0xvCsvrQbarEKLo+QihTynJglg3ekHBh1QLKyS+Oimd/nybxwF1nnbCyi\nYlE4ucDJ9Zz8wNHveHR7VJ3JVaQRN0E3mQrnBqevImmfcEZft0812D/j9Y/1uWseOHBi4Gx4pER8\nn3CHhLgEQ3EAWBW+kJBNsXJvHPhqSt3u1W7whrsiozCX7zouE8slBi+dGgNH1MwiO4OL3GC1gZrJ\nbzkeF8vICxhkm7XXiaIlCV6GtUgb4NuMsQ3aa7XhkgVUYZD122vwNx5/98ZgCCy4cN0rC6b9/qdh\nec3CKvuo/bX1+1tcfaIvS+iBI1cLb75uijwp6G3/lRJ+3eb+XQb7dVKt4bhe19Ykcitdcbnl5W4V\nGqlmDvHEIZ25iid2cdwEZy1ZsivuWAZzQO/OZD+apo6TxePWVSZMPUZhcFwGexVhrn0lFVJomsyq\nzEbbUqVYx+wkq05O7Dxj1yGHRK7sl0Ym+Sg9d3LgpdzyvrzNHTeMfsforMdhpGNV/rGr1sWZ/TSx\nZ2SXRroUuRJbsT9XIWVZICwKnDUXZc4q3BbFJl+zPny53LdLWLH9c32CKjCXxZPliDgh+FTUdMW6\nmkv/gU8Jf4b+nNmfZ3ZxQgIGHZfCdQyuXOPA7D1nZ7iDkgkyIwmTfsgRSbry6VtsvpbJqhnKU27D\nx7p9qsH+Hd77sT53xQPPeM31knVP7LoTB3ngpn/N88MHjGo9yFoC/o17xVW4Yx8e2fnymVKFPxTo\nZuRhqdBnPJ7IM+6WYm1L2+uZ8JLYd0cO8sBV/5rbw0uu/SuuwgO7cKT345K5OtZicsWba8CrkMr6\nPpYctjbOdEQy85KjbB/ZuWTQTwuMW3z8KWDR1hDqO9pc6CmKv818LyeOywB4Cc/Uv7s8Vm6C6Vp8\nXVdEqfn7HecNbbI9Rgv4rdsa7NvJVcjLyk+XQ8maXYk5MA15NN61GuatJVJrttfttLraFdZdVOkX\nq8KZkNNGmriqc+auMK2KJn7Vgq9uUtk5Zu+XbD1jXbEJt3THel1Xawqc/J6T23H0e05SdYq2k7qx\nhmqPMSRWPn/Em+Qy1Xi8o/oa1CnyXALnuWjLjAzWsiZhuQ+Gi8elOFx59mPXMQXTznGSEWd+zeIq\nB5EFnspFLz9IMWhHeeSaR654KFj6Vvjgwc67TFotRCfoSseVkd7NeJfBmb/tVTrRTZHrdLT7FwsK\nECJ4C+4xeFJXXhdto7KLW1aAdSXU9SO4zNR5HnaDSS+cMj5knM8mm1C7ZyOUHi8uhvnHtn2qwf4z\n/OjH+tyBI895yQ33HDixk5FDOHIb7njBB7zNu0z0m4Byyx23vOLAQ8F+K2xj2N41D0u4hbUovA6l\ndWJp4YdDeOQmvOY5H/AWP+I573HDKw76aCsPLfTCCy/OGuh7tSxvJuCLBIMseeSaH276ARBW9sAq\netWG7zdlne1ytjKZLuGXNbxa9vo0033KuXkTDHJZCK1bxhX7u7UGISXSWuCyK8Pm8+v3m07NuNzZ\n+u+lrGi/vhpn2Iks23bVVINoETfTdTmuRZis6tsvnrSFUle1TSRZlt3OE/Z/uvxl/frl10jRnKkQ\nDPZqbfVukVEQdBFB8zHjMsSihT/7YMW/DYfEeOiD2qTUMyGqPMiee7kp4e/qYrJPy6RZx0Wt1mhz\n52uNwcZo6TOQtQNgLOtku/9P+Go4Mp3O7OJojWDJCtWnsOMU9pzCjtmFhtJq4/pyq8c1tZ8JBV7S\n8ZIX/JDP8QFv8Rne5TO8i9X2VqZPrc5B6X4tzCTrgo30hb8vTos887xm1gtcJjCYtv3kjVI6ho4p\nrLWqNikSlFDox6aYmYidGOVDHd0x0neRPkR6p7AzZIDKgKoWpn9bwf4P/uAP+PrXv05KiX/xL/4F\n3/jGN974vm9961v8yq/8Cr/3e7/HP/kn/+SN7/kZvv1jneSOMy/yK17oS16oKee9I+/xE/IDXssz\njnJYgj3YDbjikbd5n+e8Yl8YNntOXPOwSA0PJcu/4YHnBWJqmRgVpmi5u1Un5I5bzuz4XP4hn83v\n8iK/5iqdGZjZ+5G9O3NwR7JzZnauZmJ+ow8EEkk8k/Q4l8tAoQlMeWntr0XC+lDX1u6MMC+GEj1R\nPG35srJYQhnUnRYBq1Iwq0F54VyLsyVuE+pr4fRygrhcRVQVScEy0hrM62vFOUNKxQ1IV/OIQsOt\nWztZXNYc2iLocgbFQm75nLB53Z7pmjnXTBq0SCZXBcyCdYtn6i1Y+GhYc1WlzEXGIJfmJNE6OZgI\nWlZh9H3ZOybXGVYvLAyUxblLMiIWeDtn96sLZlqTnBCdI7oKRfRlbWq7Q+llHa9BrPi/E0tSnvOq\nKcfbMXwZF/0i1VFlO6ZllbVd1dUJ3la/c9Ej2nHis7zLc14TCU13wlwmidIn46xWMNFxJ7e8lOe8\n5AUj/SLZbXtbh9omDfWOByJv8wEHTnyOHzLRX3RmF6E3jcsHXc6EOZtJypwIMRs0psYWqpBYi6Fn\nJzbRBreIqNm9UzqZCHleXMG0rMxGBk7sSuVgT8ZvPbAZyX7C9WJTpE9Lnw4DxZDoQ0Pgx7J95OFT\nSvzLf/kv+cM//EO++MUv8su//Mv82q/9Gl/96lefvO8b3/gG/+gf/SNUP3xa+rmHHy/Yd8xcySOm\nfflIkMg77n0e/V8zuw7v05KN1Md6YCzLu7LrPTf5nmfpjuf5jhfpNXtGbjjygtcc9QCwya6dFPMD\nr4VDK9xyx+f4IZW58Y6+z5fS93g7fsAhntnpzLUcyeLxolzLcRPor/QE3jGFgTHYJKLOLYCGaZ9E\nfE70yaFJ0OTWgVMe7iSOs9/hfUKcWpEzmWaKL84/tSmt7kuwL5moImZfV9YV5mIUSgt6IPrysJTj\n+RRBZH2PN+OUUIpufRoZ0rRaBBbBKslmMu6j4mdTAqxb/dMiElbUIKXQ3Fw2donJB198qLDXNplQ\nNTJpg37JqGsSLpfHaQ6QvGPqAjmYAXV2QpBo3rti9NcUTDY3VX37pHRzNvAgV1tCR3SOuWSD9i1r\n8BTyYmMoYvr4CNZij5loKBT9fQN2OxKZRNJIpjYOVeDEISL0EnEuWV1LErP2TNoza8eshYsvplff\ny4QjmQql2lhYWv7ELbBRXaHU6d6TCtvorlj1rZ3YGUGLaXnGmbOVF86y4+QM15+LDERtqDS2Tl4s\nG6snbZWQzgXGcmJkjWt9WMYwucBr9VXUmr9KN69PShgT3SmbRv6YF4ez5bWMC7L9d530k7MaSPZS\n2Ey5yBaviUEN9oKQ1ACyqQwnp+ALG8qrIlmIziN9hwbBX2fcIeN3iuutHriM2U9g+8hg/yd/8if8\n7M/+LD/1Uz8FwNe+9jW++c1vPgn2v/mbv8k//af/lG9961sf+WW/8J0//7FOUnzGd8kce/qEdvBO\neAWd4yoc+Zz74TIo62aBc130Dnrm2fmeZ6d7np0euD6NXOlM0kdTLMQvgbDuOTjGQ8e478przy13\nODLPecVX+A43+sg7+j7v5A84pJFhngnzPbfzkTi/R45uoY75IrUbd4lhP7M7jEz7M9kJu9JvaTzp\n0QbnMRGOie5UOiODIl3GhUzsQLsIvSCdiW/1p5n+GBmOkf4ckS4bPbWznWplB/aHLOicC1d4Nqeq\nfc95r7AX4t7jp8xwjAzHieE0MUnPaX/Fy8NzXh6ece4GXoyveev0irdOrxiOZ3Or2jvSXkh7x4Kf\nJ0VjXmzZqIqBCtOu47QbOHUDp91Ap4ndPLKfR/bRCnpLcastcrVshjrBCEjFxqsFY5mANtZ3b2pi\nUZZO0XaxsHRZKjg1ueNajtec0Qg6KpxtJbPrznTdxFU8mlfpxRMcnSf6wOytwPdkzKvSxcSQEhJn\nJELOR5ucszN/WUBKQ5ErPEfttNhQKjlgxcUoEMVeRSGoiQ36bP7ARY1SkiCJRbcGZ4XLasKSS80B\nKEbhRTqhJA4tTDW6gbMbePTXnN2wyKS84CXvyHvWLJWLlk7R4XHJJrdqHmMTrzAHyF0VQksrBz8l\n3AjuDG4EOcPcB3tedz3T3kzKd/PE/jjh7iY4Z8umd1ZorbJF1TGNItLmi6C+k0RWS1B8Yima15FR\nk4i9zjzLR5J+QMoezWK9Csl2yco0dExDx+OwZ9p3dFeR3WFitx/ZDRNhSOuA+wS2jwz23/ve9/jy\nl7+8/PeXvvQl/viP//jJe775zW/yR3/0R3zrW99aTZvfsN2+vv/xztJjN2XAzHnVsWfk1t2Dh47x\nokD3dAtqVmfdOdI9JrqH0vXWiERdbqlzOLUCEn1e3hSIixb9TkZu5Z6dP4EmNIHPkTDO7E42AC+X\niU4V58H1FeqomvkDijPLtvlsfpaPicPdecvFHSBmR6Tj7HY8hj1JPVfziXA+4R4nhodpvWZVKK6l\negkmmTgDZ4URNCqzZsQVmQm11QITuJPS3Zuf2o6JQzgxDYEQIod4YhhHumPE32sxv7ZgI/0aKMlq\nTkCVmVDYCZJBvGU3nkRw5gDlSUjOxmaoE0TLaJCL3bFZlktz3bX89xLkG5Pq9uFyahr4BqUqOUnx\nSjVhMUn2ni5be7yPag0zY8aPioxFwzypNSRNJaiw/a7ofcHkDY9XjK5p7kYGMcisJgs8K66ZIJ+c\ne2vL2GHy2x3kQPk8uGjHqO+p3sS0wb68LuOknSjrXualRV1zfSw2bCPvFefVjES8ok4LrDMTZDZg\nKaWlRuFjXg1Liq+ueNAci0ewkh2LJo1PyQLp2YK9nBV3AunsmXMD+J3BNP1pJhwTMus67soKT7UZ\nD7Vz2CluViQIrmT/onWC00ZqX9exlzOS4/Ye1T2yBv/SrCazWiJ3jvg5rwbyn+D2kcH+owJ33b7+\n9a/zG7/xG4gIqvqRMA7nD/+nj9wC66Au5sLOJ7oc6fPIHv8k2G8bbTyqxqPNyZOjoFMNQKxLuItN\nkuKHRJdm0C13vsI9vZvwYUZdInqYEdykOBX8rBbs63KxnL8mQXM1rgiLuVldUQSNPMsPEB8IY0bP\n4zoYyuWNEjiGA6/yLS/VlPle5NeQXtPPCabz5juZWU3b2+BYB/sMOkOeHSmZ4ctEZ45JKZZrJnRu\n5jbesctHXuj7RBxDjvQx0s8zMinSYYF7FoqE+CJtS9ZtwC57yJF9TnR5ZK9GOwypGEfEQl17U7B3\n29+yPnz2KmVfAvqb7nkzYYja9XcKXRZ70DdFWnOUQnK5jgLRJiOZWc2ki8/o5hyb3flE7xMa5tXc\nvUJMNaBEVhncdoJsg33z+8VZwHaT2n12JXg3nxdvAZGu/J27OGZqrlX9o7fPUeUS6vW9SJTaaLF3\nEzs/o+4BfJFqLtr1yds7DdbL+FkJM0/ujcuZHoMmtZyXREyYrUxiMmEslrJ3UyQcE3sZl1XIyujU\nrX58Kp9vgjLFN8W78sHLlWN9bcedW4/3ZIwuK1ilP8/0YwQ5WfH3R4q8Ah5ARv3bLdB+8Ytf5Lvf\n/e7y39/97nf50pe+tHnPn/7pn/K1r30NgPfee4/f//3fp+s6fu3Xfu3J8f71761//ge/bPvfaCva\nHHVXZ8XJIwfu5BkvebawaurWFhUd2YwLvN1s2bE2N1zeSFgvdgB3yIQhol7RrIxizR33YmWlgZHZ\ndSTxlgHpmXAwBoGEhNvn7bEFdCek3swuZteRcAyNGvtOJg7dmd3hTNC5LLvZ7M4nBjdyJUcyQpTA\ndf/AsD8b/ttcLzqWh3/JAOuD0LEEDpnB7Qwy6/xMjzPV0T7id5Zhi4DsMq7Lhg2jOG//LQOmGbQT\nUwYNVucQtYxQg5b2/BLwPcuDoZ1po0fvmMXjnRotz2My2PniCagrlcuHrv1z23xUX9tVnK7P8wJv\nVTONIOTOinVaOJOK/TnhF0w7icenZDLAcaaLVm/Rwt1eZHzFrTvOdOMbFy2RthnNTlaSWmArTKDN\nJKWl2FsCqX1f+fTSAFVq0JnyGzDdd98zOdsRTCwtT/TZ3KRKQWfBxUc3cPY7Tm7P2RvuMRQbQXOg\nmhacXbD6Sv3tWqCg5MxEfXaBWQJZrOmoc5E+zPR9tJNdVgtNoHW6Tob1CjX3aylw7lgCaz1OduVZ\nK3sOYjRnXZscL2s+KmW8LrtYDUs8yXmiC1hzHKuPbeM3G7KZtUiBpaSd/OeaGBjktwT4wNJB++/+\n+E/4d//H7/Jxbx8Z7H/pl36J//yf/zN/+Zd/yRe+8AV+93d/l9/5nd/ZvOfb316Lrv/sn/0z/vE/\n/sdvDPQA/+pfHzb//fg3PMlLbncW4eh3vHLP+KF8lh/yGS51QgJxaaPecSZIMqvCXTE891YMVCfL\nn+t31aWaOiV3oD04nwmqzHQ8yDXv6Tu8J+8wiHlqToWbnCTQkehCotuZzZzLimguy9HM1HWMQ8+p\n23GUAwoL/eyaB67kSNcnOjIahGnfbyYvQZGgdGFm708gmeQ8u97YQ7kTpn23yN7WV6pQUw323n6x\nOEwqOgl550zoLVAK1JAGz6g9eGt8iTtHHIpJgwgpKHHw9gA6yD2knZD7GuztfOu54NlkQJohDmZY\nMfnA5Iw1go84DxrKbFSz0Mts+TLIl5XUltfOdtKtWwmcFY5QJzZOSgaavRSmUt190/EQiNrR5Zl9\nP7JLmOqhyuJYZGPLJuMkhcsuAa+2Mg060+ViXFOM1LUsRaRpunK5laMubCkndj9rwHcsBdPKUkJW\nPB3gxMCjXC/UzKiBPtdgX3YpzmMy0cnMUQ7cyQ337pY7uQGBm4b8cICFzlpftbCaao/ALN3CIhrZ\nkXDs5cwunNnriaTnovuuxSSepSgvKosrlLa3USxJqH0LdXzIbCtBiYp6YT44pqvAfAikwdFNkX4y\nyQQ/NZTdAgOqF1InxM6Reika9YHoOquxuG6JRpUi3WlhzPCHcFQAACAASURBVDX9GT6vDC2XFHnE\nsvizItVGtQo4Foc9gH/wK/8T/+Br/9syRP/Nv/k3f5Mw+d/cPjLYhxD4rd/6Lf7hP/yHpJT45//8\nn/PVr36V3/7t3wbg13/91/+7vuz/fvY3TeW3W9UrqXvHxA/cO/yF+2n+wv09/kJ+pmkRsa1SL98u\ndmpvyQfIkJGQYZchJR7lYAO/DP6a5axythO9m+icvXoXeZ+3+S/y0/wXbL/ikc/zfT7P9/kCf82N\nPJA6bw95b5jJXotanp7Y64mX/jnvus/wrnuHd907ODKf4UcLw2cvZx67nuQ74hCI2fxH11aWkSyO\nk+s4u47RW/fj2A3c+Wvr5s3KoOcN9QvRYogspmmujrRz5BwKpOQ5u4GzHxj9wFl6chdsUuwd+crh\nJdO7kd6fGfxoCqG9Ij7j9iUweZO39S7hfIG+XIF3dmqZF6xZtmKm0d5YPpN0piRZpAM0mFQAYfuZ\nN63KWqZNW4x9ktnrxXvqZ0Tx0XRqQtWp8Xn1F/XCTo1OqBiLxfRnSuORWvDIIuRCaU2u9EuIyWJU\nsxkrrpYJBlmyxFwYHvaPNvmgLMHyXNIYRBdWTSfTIiWyiEYU16k2iPqibJnF9Gk+SG/z/eMX+MHp\nC/zg+AU+GN/ip/Z/yU/tv81PltfOzUWe4MhOTjjykpwsstLiFlhruQXVIF6EMzvuueWeG+64Yabj\nVu650XtuxPYuGhzYxUg3xyewXy2oV3RZHcyLT29g7kxaOcRIF+0VZ7W31JvrlbmqKeY6IOswqmPI\n2Vh8CHseuwMP3Z6p6+w6M9HLyBWPhZhtDZkT1t0bCUy+56T74sNRajBVdG3OhFBWFCkbxHkJ+XyC\n23+T2fmrv/qr/Oqv/urm7z4syP/bf/tvP/JY/+/uF/47Tm3dDhz5DO/yWX5ELP/9nr7FX+kX+bP8\nc/z79ItMYmug2nL9XF7yJf6KKJ5OjLp59jt6X+USBl7yjPcWd813lu/6sH1g5JU+4wf6E3xbf4Z/\nr7/Irdxx5GDZmiROsmf0gy2Vi+nGDXc8444b7rnlNa+54RU3vOIZr3hOdcwZuTc+szhGP3DydW2y\nb3RAAoeS2dVugMo5MlPltV/0oMWeXU0MwaELa8kamlpBhuq12zccJmtXjy4wd/Z3nsgBzx6ojTQL\nXFS2rbtpsWd062p5jdG6vNYMqa7QrHvUNOxnCVago+0k2FoZWjFXF+qe5FxjpX1D+dK6arOssRbF\nZD0pLdlxycZASZ0gRcUQJ0hOKxOlTlw1yDkL9CCFvaOQrINai9aBlt8ssmrOIOvqwlMcy8QtNobJ\nWZPTSM+ZgRNDgVmsIS8UmCaKXfn6exaZDa2y1JUOMC+Cf7N23OVbfpg/xw/yF0xtkzM7OXHlHji4\nhwVmHBgXyQsLmuYAVTV/tKwk7FKud9r0+w3cDgWAD2VyNFojRsudFD8pfi7X/yIQaqirr5KBh9KY\nFurqxqE+oH1hTImUbNyYTxmHOLE6Qmcrrc1qCLXVZddZt2/XM/uu1HEyfY7s9QQCqQizVW+AOlHX\n/65NXFWgTsp5ukq0qLWDCTgClb/yCQX9T7WD9jt8Bdg+5B+2tQPmmgcyboFmROF1esZ78R1+EH+C\n76SvMIvBFs7ZAzS5nmv3yFvuA8PYHFSh4doafmTPHbe8z9t8n59AUJ5x1ygmtto01nl41Cte5We8\nl9/hB+knOMrB3OndA8/ca1SkQd8HG1xYk1QV12q11mvjVn2ArM6zaq3UwNsKstVrc9lRuV1aijVt\nYbSJ+p0XiurLxFD/bC3faRWiagKs/XtmdW2yruI3b6sUQ+Vf13Yvg9u38g31rOp1SOI5h47oD2Wi\n2VqIRELJb9dcNzCXoLaKxVUi7cpGL9NK0XxZR6JFXJfMcSjM1oxjLBCDrObOEztXmsSMDeJLupkL\nNq1iQddHo066UkxssXbL1rGaQHlFjHnjUmHQKMTOLXtydu0HztyWXyiqq159aSQ6yd52t+MsOwax\nVd3gV8nmjpkbuWfPmSv/yFvXH/Bz+z/j7sUzHvI1vbeVbO8mHt2BiG9U5jtaK811XG4lszdwE9YQ\n9UJf8ra+j2AroS4luhSXVzcXVcjZ2DDl1qzEBgepN4gl9xY4pbhLDeOMHI3lNAdP7DznrrdeELb1\nkhg6Tr5O+kUZVddnHQEvE9cSOcgDqNCluZxrpMuR5CKzT0w+470V69tx7NT6U/oUGdLEkErQ78Bd\nYVo775dYdwTeLTtQTuFj3z7VYP99Pt+gjuuFudza7K1mxjvO3HDPC16y48Q07TifDhzP1xxPt0zS\nI14RZ01Q+27i3B+Y+4Hc+2WpnJsQPjLwyBWvecYHvNUEnHlxs1n7Z03aYIwD5+mK43zNw/Sczmdi\n3yMd9P3E4I0GWieMrfBWWJq/rHNxKkp91XDBlpbbz6ysotq+LmXqr/Z1rWvUqgdSQ+n6vQBbtZit\nts7aybpOtO3EXDsUFwVBhuWerUzy9Zvrfa7H0otj63Kv7Ym231VMzKU+pDWMVEkJWy+FEnAibtFD\nXaWH4yIL0OrvtIJmq4x0O9qU3k/s3cjen9mFkaCJUzBo6+yNOx6whiUvqz2g6bxYtu7UeO/e2atz\nRde96LtLMQuXoonjCpTkymqhEkFCKiM2OzQKSlGKrPCDskgZS2n08SJ0ogwuMsmEc8kK6c60dkTU\nRo1GKJBgcJHeTezkzBX3hIsRu3X3mparqGV8K86CYbYiZZctWuUGmpKsNimlZC5Wue3VtvGjzvSC\ncnDoroygquIpzupMQSGYd7V4WwWEbKpOPudSF+l4lB1Ht2d22xAnGAW0dvj62sRYtH9c0c/3tQu3\nXGcf88Ic8jEzdBHtT7gu08mEQEObLU2NySCpECMhZqT0AjDanu9s1+YVoE9/B4L9j/jsEjRaJcLL\nrWaEdR8ZeFZkCkYGknbEsSM99KTXA+luR5RhoRYSYNo9MB92pKsOdc5YPE22WXntR/Y8cF3gFBMy\nOnBi5qEBI6qaYSLGnvk8MB0PjMcrcvdAOMDhcOZ5uOOFf0l1carwiEHF9buNu1YduPYcCeXPjirJ\nuj5urTyYBfyEK/WJVguzFTGr2zaQGzzSXtc22Nf3v0kVshUZVqQJp3aelzINNf9eBOTKJNGG2jVk\ntZngquBTt9UVi2UCqZPdWo0YCsDVSllP5VxriLK/rflp3f0yZdqvunKP3HZ33IY7nukdHTP3Yr3Y\nVXMmuBIk/FOPhEVaw7P+TtWNUbYF8ZUWtNQZCgskl0KhqBKiGi+74bMvH73MkwT2ckQ5GrDtYCp4\n9tRZ4Rto6guJicRZdiDCpB1n2XGF6TxdceSKh6XGUFOHNmlKeJIKQ1KGeeYwjxzmMyq6KZCTwBV6\nqhSapTV/UXoDIHpnpt2+4OsFkqrG63VVslxzjSY34gQtXgDRBU6y554bXsuN0YeXFMfO+KBHejUj\n+oNW7f1S18i6yHw0AQk3bffdbjK6MCeiF4OhCpU0xMKiammzMwbVPJbXI+QfQHwP4iuYHyGfypi3\nn/Kxb59qsH+ft5dg0O6XWy16VNmvhOczvMsR08DJRYHQOj/FKEwOu6iBwtgQw8UStPeuXdan8qhX\nyCURF4Gn/IagmXHle51972i0QtfbTN7ptISV0OSTa2CzzVYPadEkqXl71Vxvt/pM10y8CmDRBObc\nBO56vvB00gRoA/26erpcb214P1SNnHruVqAzV69VynYNbvX7axhcdHpY/QGewke52Z8mBDUpqOdR\ncW+boM2XYKtymcoKKpbrbEe74nEzSdr7V6mKvk4fMpXs1ODDA0eCWG1lXW81UIau/53VmUY8BqWM\nMhTLvoTPZoO3euKumLoV8+LSXNVe1XYcotsJcbk32eQBam+Cn42jLkW3fedNbKyqagpKj+L9S678\nibf9B4yuX4TBBi2draVJrO5ZhNh5Ym9yyOqdsXnijJ8jMuoqx1wDfjnXXEw7sghzKOyW8tpCYerW\ncbwkHKp0caZPheaa06I3NHWBsRfOLhCdgM90MjfphE38SYNJeiRHl5RdSiRxzK6zz4YCj+Vo35Mi\nPhWossBuyQpWBhnPQqgNaZPiJmMDiVmhbR/kKnZ2xoL+CcPrq/HSJ7x9qsH+nht8yWKrZdubOl9X\nU7WafSWOHBY54sqCUDXaHm3WUy9w7cLTJnO6eGgsW14DviLE5Zy27112FTRjTR4R6/xMGV8Mkfsl\n89gGqvYoNcvoCmZf/7y1Qtz+nJp1O3SZHrfhcRsU6msb8O2ybMPq1oWqhTdYgjKspuc1AHcNwHW5\nteXZGlDX26PNe9aQXq8ZmFnIm7bLe2EEHSNCrpDM+s71ak/L71reUQLmm64GWLCq6YiySlLvOD8J\n9gsAVgTWJkyL5kGueaXPeZBrnJhHsXd2B7a8mpOxwHSmy46sM0FZqYtuW1CvKz+AdlL0OeOnTJhs\nnRdyLmykEviTFaQVltqBk4x3R67csVgLVkmAAinlMs6bBq8sQtx55sERd44cXDm+KYrmVmi/ZCvZ\nF9u+iqmXHpPZd1Y8dR3t81FXgl6thuMLo6WfozlNzZEQE1MfmPuiLd8HRjFHYClQn8IG5lRAs0Oi\nFPOSTA6eHDyz7zmH3lRa58naclLCZ1tt5dI3kp3VVVw0vScXseasEQveIxaT2l6XtvFqtvfIXCYJ\nq/tb4xrbOeLj3D7VYF/Nk2sR7sMKtG2O2WZ3S4YsrLzUajgO207VXs1px5tutmcbdO17foytKRgR\nLNh7nwkS6WRdrfg3hNXL0mjFRC8R+rbgVUN3hYBq0G8z6Pa6vWmzlYGlWZdndIkGXCrDtxk9rBPI\nRM+JHcpTr9f6m6pl3Lb6sGrpr7+OJRuvmXIkcGbHI1fNJL/NZltDl265juuKys43LysIKI5JeYUx\n6rHq75ulW4qcZ9ktRe52r99XPQasCL6mBxVWehTjTz1ytVnZrDWFXKC8E72M9nmvRC21nVqvKMqg\njwuwYq+etAr98cAgI1PXk7wn7zw524ppoWMWonp7t1xSumk2i75HozxKgUTEYz0YdYCUTl9RJUwJ\nN2X6O7HsusMYML0Qr/yTh+vo9ryS57xyz3jlnnOWHTs5sZO1F6bGhmVKq0bpxT/X58LjR8GrqYJ2\njqkoi44NWaFOhhVJqPCToHRuwoWIkpkFcIngJ/aS6NQIIIFEcAl8JlXabVU79WJwQSqQTzUnqRNi\n6UujNkH2Fis4s6pbOnAeuh78AP2BpcHKfRIYDn8LhuOXQe5NmWHd6vKttSRcMP4ADAqHktpr3jTa\nSF9EwHwpnDVDvB675rHrpLLmyJfb8unazdsr7DLSJVwX8d6UJVdMMX5owG8nsaeBfgVW2jBsOuOC\n4JnhyfEuYaL2tQbobVir/75da+blLNwSIC8nlcsr0x6jTkbtqqLe48rJqQ9e+5n2N7SrkRbwu/yN\n27tqcMtlbcAe8LXQ3NJCL122gLJ62l7TywJ4ZaaYeB3rmCyHMSiwsn/W5GZzfVRwmDRD1aNfZKYL\nc6QV5zCKo60b63+vcFjxNhNXVCKFSlGn4L9PVEwa/L9KQfhoBc//n7t3CbVmye47fysi8rEf53yP\ne6tcUpWMWhS0q5sWNMgWmjQNPTDSwAOPNPNAtoVAA89M05O2hxoLhKCkkYTQpMGzGhgEagxSDTVq\nI9qWVXrV437fd1575yti9WBFZMbe51xVqVR1GyohyPPYO3fuzMgV6/Ff/395htZx1bQmCrLoRmOh\nuYlOcjOag43S2d67iMn3DdJxEhNWkXxtyv0v17+kK1Udbplw80I7R7wmZhdyusWglDGzpBYBkXVR\np9SJ4sU8EVG8yzU1cYy+qRrA7AZGMdhvyh2zJGjKs51yE9yUOXlGzIgXY1+MvE22S4bNDjjm/zVY\nKucTzGF9zoX3A9/+f5AlvMwMX+eogbXAVm78K+5y0cg4qxHz2ulzH3KTGZ5qmxQWkyts0kW1ow4T\n61xyWxnp8v8tZ50hm+JsZW8TqhGVBfyCtAsuRKOVXc3UcjWKMbe2jsvXXaYQrreSs6/PvHgsG+b5\neaG7Nva6XoRNaam8pv6eC81FCm1LSGXsMPOqDlS0gS+XF6nScG0G681ZMMaEYYqRKvc3rjP9Muay\nnLIVea9TNMDFMUpTXV1ErK/JOgUE1DsWrTE4l6NhppGJW+5YaNZ2vntueOSGQ4YCFy//petuesYn\nPIkd54vUVsSa7Yy+OHfSsiAuMDsHa9rmsmPBE7nlgVfcP5vHgtUK6pb9EOOK8CmY/7XQmzBLnHQV\nBZdGNx6lic1LLZQbBR9ejFdZABKGOooKZ0HnXGjOQz30fuC13tG4maN7YJJ2Td3VUpR1rW6XRm6X\nB2R6pBsjmoRTd+C+PXLfHHls96aRJUUra8rP03UqsxYCAnFKFMfk2/W5qt2ygZ6Ts4jsSQ9ocrxd\nPvB2fs/b+QM38wdD1ZwVBqwbtmQbCu1BbeTB0jeFmPCt3YMELO9h+QYsM2imFLhJPxzb/5ka+1vu\nqAt5n552KMbHLv4t96tyVAnJmjDT9iN9c2bXn3BXEULvzrR+IIQZ5+LFw1Eb+lqdvtQTSmhep1NK\nFOD9QtPNdH5g1z2xcyd6P9CFwbptL1qSrqUjYjZEjmX9X6gWgeceejHxNWR0prlAqNhrnxv764x+\nOWbt99e5bEHWVFtJL1zHJIKu9yDiObO7MsS2lWtY0PG7TOFc0i3XEdZlxSDffd0cg4tFMDdKXeoc\nteuCtSVz6nKtv/geBdpZ5ll5b8tsnc7pzE5PeCIPcsMoHfe84hP5qMrjRzqGZ1FGuU6lHtMzXCxs\nCcchnbiZn9jNE+0SaTQRfcQHJfpIdB7V2c5NHUndCrPc4JZaXflsb9IGbVzTVDnFJLkvbDP2VsOZ\nfMvYtEzO8uftONNN07pfKS4sn0jyuUDrzPON4qxLVIseQ0TTthaoQp8WvJzoZeZWniwVKfl+ZzqP\nhbCmsBYNNHFhFwd2OhCcSTuKT1bg9gYXDWvXRXHUtshY1kh1i+VSdrScbPCAGbc+VzMNMQV8StzE\nJ45xwC2J4/TEcXyiHyfcqNs1dMAe47lqA3Nre/WyYvKbnIaiJrNbIJ5gHGAYYZxhySZsz4+AsX/F\n/ff82tp81Ma+aME2YaIPA3tOHHmgqTDfYLq1O85r09J1vrwYe9OmHdjzhCdlTvlNmaoIiBdT0YSF\nLozsu9Pq4e44PZMw3NI58dkehEDImemlMkmbsaxNhyfleeJXr7kY05AThC979ulqXCN97HEoV0UR\ndpwvrtF1Ese6OPuVuMEavi6XhKL3W4uSX6NrykNXjON1TttlFam12xVWlSdV83wdHQXWWvoIChq/\n6L3VMNECCB1zP2hpetuiN1MVe5ve8Vbf0aXR4LYucHY77uWW74h1WhvN9ZDvjl54hiWqKBHqs+hV\noYsTu3lkPwx0Q8SrEsJinaHBvOGNVpeNobVmVnzJV9JqwOZtlvyxXL4vOs9js+e+PXLX3vAUdrya\nHrmdHridHmmmBZfiRUQQ1TE2LefOtAfmxrObp6w/MOWGqIIQsh/bmGh1RHRcC9l2T9nSRflt64JU\n0Dxit3PxnjZM7IMgEunyXN2W9foubPNsSwHap244PINmFDdrpuHMjiZFbqandezG0YquBSM/sFGH\nZ2997jxPXc9Tt+Op7VER9sPAYTxzGAbCELdO2RNwhuVbMHyApxM8zlBoer7wwm39QWyfqbF/w/u/\n0+vLlDjyyC337HmiZcSansxA33DPa94zFcq4vN3m1I91Vi4Xxqh47CF79QeeuOUBh2nQ1mLj18XW\ngo0v8oa33HHk8SLqqEdtwEqHXkG1XJ7TltYpC0PDwsJCZL5aCqw42a1my/zbOgViqcPLc3nJ2Nun\nb2mRSxyRr165LUDmrZ7XlMz1ElU/fJde++WDWccbNfbbabR0krRM0jFKRxS/+c2yeW3Fhyv1HMkL\n1Ia8uYTv9YVbaL2e2ytB6XXkGE8clhOHOOJT4sfCtzn6E1/w3+SJ/5y7Ug1J08lgDUKFbTFlA53Z\nDo2ThoscOYqpiS0Rv0Tckuw1mRmxcMjnAGbdr8fIKYOVnbEieysInsKBlCST/eV8/ioPGW0vojR+\npncDUQQvM02YWZzjsdkx7oKlmeJCk6xbd5bAQ7Pnvrnhzt1wkj3BR7wkQoj4LtodLggicXQ6caMP\nHHnkRh/YpcE6ZjNnv5t1I7CrFya271wW9TGDA870FxDuT0tl+uxgWQTm8LoRhDg1IfKgC3vOpuEw\nJbrzQneeCefFjHS5hy3QQOwNiRTzGEPL4FsmHyzPjxgTaRC0y2tXoZQG47iPECPMae2zWqfID2P7\nTI39R6U/+O+47Tk98+6Lnuwr7njLO+YrY/+KDxx5oM/6szUOpRi/zXA/8JoPOBI3PFx8Tu2ll/cc\n8vm84R2v+cBRH4w7RzMeoKBy5NKvLMiRxAZhrEtwBVRXEjWReQ37yZM2ZG+kGK7SItRk+CHUCJfv\nbuy39EZaC6IpP1Rz9o63lJuuIbMtMOVz65Lmc3ROeeC8xmfFSs2cMkZhkDbGUax+MEjPWXbMslFG\neL1cKEvSpkQBwnaMiEn3WdE5p+eyZq5hza+QNhne12ZSLp8iTbjjlb83OUIvXNDbIpmZ0sitCkNl\nEUlZxVL0cihgeHkz1JFcS1GMzriIiFSMnaWIWIx5zDQOpQkpeQGnBkjIsnyKZLlByTn9RLsIGhck\n2ok5v9C6kSSWYCwsmqemQ+lp00yXBvokdDExi+fkeu7dkffuDQ/cZPK7bTGvK1KRQK8DJzoGNbN8\njMGEv2cjLWvHxcRUmm0BK4RnlzKSlyneeqmG4rB4tNKktvut1oRVz5s8j3yKSJzzAq240YRQ3Bn8\nWdFZiI0jNd5I1RpP7ITYi+07o0AubiEYC6g4zWyv+Z6HCt2UtZNiMtbjQsm/fs0fwvaZGvvP863v\n6307zrzhXfbuT6s3/op73vKOz/PttUBXtptcyNpzosl56JrnpmVmz5lbHnIO1ozUnhMHnthn6eAt\n6Lfiz54TN9nQf55v87F+wpt0xzE9sksDHRO9M63Y3o0sLqweePHCiyG7NPYbJK/NnnyNzi8doWVs\n32cz5mUrRv179eyvc9ub772Vump0S3ndE0fq5rOybQtcrluojUIM5TS3tbt8ZuJZJOFcLpfl1v8S\nXd3q/foEXCwildi4qK4CKS4a/hmViggtB/IJyN62ZLhKvURaJ2WuF+SFx4+Kk0xQtnrYBa/P+r5V\neMQuvnnnBb1V5clJWcQjOGJjXC/ASqfgIxs9cZXKmF3IefWWyRtE1JhbDzzJnog3rWZ5yoDPpxW+\n6HPR1pVr5ZQomhlQFfFGH6BsndklzkTA5aawIJnXXdxK/WzP6LBqRB/ZNGIlp+OsY71lkoZv8g/4\npoNX/pHb8Mir5oE2Pa4qW6m15quSxnJZDtBrok0TB1U8C7uM7qvTsyf2tfI0oolX6Z5X6Y5X6Y59\nJjFDWPUdZLZ77EfFDRllVBbqYBxFj/2Bh/7AYx6tG2ndSOdGWhnX563LmQeP0mdnce0bUTZlrAwg\nTJoF4/RHzNj/JH/2fb2v1YlX6Z7bdM9teqLTidfuwUTH3YHFNWvOtmw7zjnNcm8oHs1eW5rZpYl9\nGknuAeegcxNH9wTChSJ8MfBl6guJI4+85R1ndkQCb9M7Prd8h9fLA7tlpGdmH87E4BHB2s7TiUM8\nsU8n9mnEO1AXiC6wuBmRZIaQ2fjN8213JBqxdM3qtRbx7RXaZnsRLgSRndYYhJSpd3PSJM+mrZS1\nPTIrhM1l8q1i/Io0nBo3+yzNKhy9Gt18jiv+XSrGxRizqENENBFF8ZjBiUV4m61YZ0ZpK9LW2EGp\nnoZ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XvJc3OBIjHzA+zAwRC4EYMi5CA/tlYL+cOSxnDrNJscXGs4TA5KxZRYPbjCrCfjmz\nj2d28cx+OSNuww4nbx2YEWuSKQ3kRk+Q5WWkxYeEDwuhtyhJFPPwKpBqwopt5W9HfeKYHrjRR476\ngCdm6t2NvncrnWegYKH0FXtEGrfQy0jvJrxTJMU1LVQMSTEMruCX4dLAw/NcbLV/KVXgyB6plIPV\nb7Kt1QnVKRuLnObxbHUcgZYzNzKs6UTJYWPZq8NYIYOwdKyIjvJJiwQ+yC3v3Rveyxs+yGsWqWQq\nxXPQJz7ST/gofcJOz+z1tEUuWBohiUfFsahnkZDx89tCe6bnHR/xjre84y333FqUKltrUuGbL2Mh\ncM8td7zinlsG7dfz+Ch+wiGdLK3l7Xurt4awU7PnQ3jNO/eKUVpeccfi7kGgcTNhUmRO6Emt2FqM\nfV0LqAry6iHuHfPesew8897oqX0WUfEpR0w+IR58UJyIIft8QppUpe7I4iQwe8fkg/U0YIbbh0gI\npW8kWsugVH3xUhQOmrXBs1A4FJ6kRgxS7XIIM0a4H+D+Hu4/gSkTDPzP8YdjmD9bz15+Iv902bV4\nvZWJWH7ey5lJWtQJIWOz7+SWd7zlb+Qf8Bd86cLYC8qRR4pKUqFXmKShoaURC6VP7NYJ+4HX+IwD\nPlC6ED2Fm72c7SkLlH/Cx/wNX2DPiZpZ78ATkxSihZaI41aMIFcxmbxp1eoyb8oRKW0fhXJ1kbCp\nuEpL8qa+42Wm8TaFZu+YfZl0TSXSbf+XkHPIIeKbBRHdOh+dW432gifKxt5TRFI2RkJWA+KINBrp\nauZFycyRmTa4ZbLOQrVCQWmgsc7LsHZdXnb0XlL2qhMT+nZ9zsXmSGTFt4NvM5w1Q1sVWYU+Ei6j\nOTZOIkcyBkkcSe11Zhu3ZEg5VuGPcSldcM+UPeTfixftsNqGZKnKwvsyJevmvU4jeUwcxIMrqa3q\nAfBEXsmJRpQbOfM53q+yfSmrV3U6sY9WwN+ngU4jMbjcnZvrQtkLtznZrvWrwvXpiatjVHDwZSG+\n59aMf6YlueV+NWc3+mBOmH4gqeOQz+MQzzSlQ7kMgUZnbudHmnnh5vzIgqdPI50Otk/RFu0i7VeQ\nUiUlJ+aoLE3I+HdvkoiN5eRTYwZbUMSHSy3Zqh9DgCl4Ey0JgnTZAZKSb69+FmdQb2ZrKMvPClI5\nKfmGFlNfypIuJZo500FMNsLdQnMXCY8LcoY4wDjBaYb7COf8nV/Wafv7b5+psf9rfoxi4Gto5PWm\nV/898ASiNDKtrIwP3PCeN3w7G93CbFeO94o7jJnwzA0P1O0pZRQlpA+85jt8jPGF31Moaq9bsQHO\n7KrP/tx6PuVz95xWXpmirmQNJdZxuON80Y6+CX14NoLfwnDZrP6Ud5GGicY1dMnlzkfP7Lx1a1K0\nczdKteAWvJsJNIR8q59LphRWHk8RLQFWb+SaQM5rrBrAbNTbej+zUbMFJrP6567bxHPNWaGm6xVm\n11jEkgkrlpyXqR2Bmi4isFTIcNuX9vXSXNcwX9z/mUDNZu5JNMtMP8308wTTTBMTMcjqhSdfp7Hy\nz2AGv1AyLFivw5IIyQwYpciZ9+IAr3iPoY3qIEKhIdLzyGt93J6Lqr6kxmRhdaxSE0KQTlnabIyc\nrFFAVCOvsKu75IyXRZGOe3oGXskdI11WHdgoBxTJDVYmJdrpyI0+GBWDZhqGCD431vlYPdMlD51m\n2mXmVXx4npKpUjN1L4O6XCDNqcelCQxdu46xbZ7NZkUyBURZzLV6Kmy+xeCNqmKd/5ez0XGpguZI\nK/VyqQKudkxs/gQWGs19FDrTLAvhlGw8Kf6U4BETLMmi42m09M0QIQcz9SX7gW+fueB4bcZrI1lv\nxe8oY6DPPDb3jHTMBAY6HjlmL9s4xms2GWB9ffGYixFYMk9HMfbFsy/eX+G4vyTltVEMcHlfOdci\n6nHkkRN7Ei6fa7O20hTDLtmjKp9TPrPw22yEx5sPFvEszni+J2ckTxY6mmd/beivr2EJ32v+zZcm\nevF0Q46dr+U9FrFFcvYNi9oxLnKT2cBa7cH2a6wmiUAk5t+LmTXY/QWbDsB6Vv1Ku7x1hhba4Hr+\nmGi8z/NjBzknXWaF5adrQoyuMgZ29Xo3cgwnIk8gJlIz+yyMnWs8nrhK/a2cQ6kkpezrild0p8RG\nSQerD23DE9Ta6RtdDNK6dm+tl2ujNS4AhQwvLM1edaHdUF9qfRpjJPiEeqGXSJKs9yy5cdDliE+U\n6ByD79bhXWSnZz7mO5fnkgu6g/Qskvme/EirIwiElAu0izUCXhRWX/pZeYZVt8XUip7RC7Nv1oLn\n6LqVb3/xNiLuoks+sKzPdkmjCqxxdFnwi3sheY6t0WT+zZMy5YR1tHtN+dwFiQJJLmp9szf++3ZJ\ndMtCt8w044LLfTKuGPlap7byieqWix/m9pka+3e8XS9sbUKvt0uqXeNwv+WetxxyHjwwacdZdzzq\nkXu9NWMvaR0tE2fZMeXXb4/zc4NfyJOK8T3wdGEINxNjxrLorz5xoGUkZc+nkEDZomCo2ZcN6mbs\ni/rWRqVcDOEW4QBrqiTm/HoxXlvuvBx/8441T6WytG4Lx6YPVDNWXn7f4uWki/uV8iIzY234kdJx\nucUHW3LOvoVDLz5jO5dt2d/4QZucfou0xWNaNQmujL1mY58fHIe180csDWZpJ7simufVtQiMFSnr\nb63MMhnqxFv9I+W2fXvAmxXV4jStnng5jyIoMoWGGHxeELN8nvPrPsSUqS1yET3FZ9daVgZNQwNd\nGM38nWRdXexvooos2bsW2LrnyhvYct7ORDeCTzQh0oSF3o8EKYyttp+1YdKOSTvGZPhAn2PA3Exs\n/RATyCwWydQe+8YDlucyhn5pxIqiDdBY8TTmgmsMwsn1PIgphD3IDRNdVSmyWVzme+2QlGdjyZDs\n6/9tvyfC+rzJepKFHHDWHU84HNDrmNNNE32cmDQwJdO+nWKDnxPdONONC+0YCUO6aPbizGVE48A5\nCAKtbP1f8AxL8APbPnPPvnixNTPi9VYMcS1T9pZPOLFjpiWpY4mBeWkYY8952bG4gMsqNt5HZmee\n55JzxHXCoDb8xfMe6XKAu3m8L21m8IuyTSYCw9q2OkZ2nBnpVnrkEnHUUYfkMLEY+1JXMIMWX/DJ\ntwhom6ZunZT1dyO/anvPxlR57e0XoY/6epiodeFMPOTKQ2HtLDzulhoz3v+pOis7g/ozzuyvYoNq\nAaumtaCrB7alzrZF5PJ7ZJ6UnEJo0kwTF1o307mRg3tidC0qcrEQlUW2iKvMVeBczsTy4AP9MtPM\niUYVQsQxEtzCnBlUa5FIqoIoChMt92L57nu55ZGDzWIpdNlzxmU7UvAkNURPL5kjX3PaKTNVlu9Z\nn6kimaFTkSTbokA+jcrWS92tbG/O1xy8S+zcSOdnjv6EeocGXQdB8YtxUjGdkElyQ+s2L52mDRVV\n6JnLiRRYozejnsK2L0CB5EvPgmw9BCKcxWpq3+HjNXp/xYdVpvSWe+rkSnE0ish90S0o86s82+Ue\nNBiduCF47KIJ8MSB91mV7B1vmaTlYz7hc/JtPue+w8f+E4iJbjaorURBBnCnlKlF1Dz4enEuUOAy\nIvgG+gDHDDwo+f4fiaaqgR6HcV0bZe/L+aliXgpbe8PMSM+SUyFFZ81w3wkfohVTfOYWkTwR5bIm\nUBsauDRKdf7u5bLx5VZeYZ5YoU3e2DI/TXi8jmyavNR4jD7BX7x2831h8/Q3EygUefJro7mZg8uo\nqTa2l9ny7f11eglsEWsr1akitWfeeHtxjGJqXIEialxJrqx4KisS5/q8rpeushDNOW22pWO2oljH\nQC8jKoLLSJhGZpykzBx66dXZ9zOepKILC2yFPLVOXi+J2XseOYDCErxBHsUz481o67yKUJe5ZPli\nS989iYF+B+mzI1HPNZfx7WSIpMUd1mwVDSOvEXxaue7XzLCENXVXNGRXAjFl5bHxGfPuY6y49tPG\n71ImVTKYox8jYVHrY6mKnoVquIizuPw+yZQXUjpWa0OWaR9McUsMjRMCQ9MxhI5z6FiCN2SKS3lf\nVohtQSuolpaRA48ojtusCHzMGsgru2sGDJSFN4rDiV/vfJnzdQ0urVFoqbts1yZIrvfJI7OGCw1s\nxYrv/gzubNz3K9FZUbJKWONmxyp4wnA5gkCfAV1esKIxPyLGvqBjHJGIy9ne5x508ZxLqF1SMTUy\npuhQdrrl6wRdDX0txv1SXaBsz73dS+N3vdXGulaUKmpRzdV4yeBviYRlLYK+tChcnndJIxVxhkuD\nXc6tfCvYUBfXC95zoUI7gidmf34rCpbUTCl7Flz2mZ73vGHKBr+OEG65X2GyR30ksKzohrK/9vCv\njXLJqZ8yNLakxcqrBGXvDDm1+E1bdLs/y9U1sa3RfJScciHvSxpmpmHwPafQM8iOQbo1ZVVSTAee\n2MuG2ioR4fWcBdbIrf5ukZCjuoLZmgwvrxNtsn2jcy40ikEnXcjF+gKE3Fltw+drklNJW9UjayPo\nnAuHdtyS/lpn1aT4B8XfK/4R/KPiGqBVfBETabeReixaOFnahiHvM2cTLbAzQx+DLRgxCE++512G\nkb5zbxhcn+/sOe9PXG/FS28Zecs7HKkSlLSYfyVgS5uxXySgzlKDpnBW5oHm4EtyRL51YpXiuuYW\n5lfcZ2H3byBobohbCDpbd/wAcm+De1ZuqTWCCsAB9BZ4DRyBDyAf8uN5Bq/QqRn6TjA6bX5EjP0N\n91ile6YWCb7eSthdIJO33HPDPbusOuVy+NUxshNTrKrROIKuMoFlEYDLvF5tFDZsxrx6l5+2mWHe\n8u1l8hWK12bVob1WuVqujNHW4euzsb/E6Fxm+8nfoBjW2uj5OjG6brrWAGqDV7L3hU8orX+17bIO\nsC2u9fdv1Ra2A6cVCltHDIEFL2bg77kxn1zUuM1Fn31Oupre5nBmRBHLKiTzUnRUrmkRHK89OUda\nEUONznhNF57x4oJx5hfPMEcUSawxbCcnuotCvd2Rltx0lA1ozB5kxK/qVXVdBlij1IKuukkPvNX3\nvEnvuUlP7NMZn0ys2+f8/doT4ZTkhZ4RY1MdWHhEk9uQOJle2mnC5YJv0Tbw+Zheo+V31jpDft9i\n3r1rFG6rG5GAwu+UjVjpZxAFOoOOErlsZJvtnPysuNGirl2YeN3e0zYzx+aRyTXPUjA1mGGixeo2\nc36ezjQX0IKFa8eo1iquZ4lQ4Alldj3fatdjRdrkn31Swmhsss2ghAHk6XJQd3A3mBThHtJe0B1o\nD9LlruiguAzhjQKT2ljyY/7qxTP8+2+fseD43foQFGP3aQXarvIWb3jglnt2mQt7K24O7DIu/trY\nFx3ZWgbv0shvXnnDVh2oPWzbLg1lMcxFqLxf9WpH2oupOmeD3xCq4/pcDqw95rKA1KLkmxncjL0Z\nU58hdJaZLx75S9FLMdkvLXIuh7CCJXvqnH7JaJrXvsUbEU/PyC137PXEq7wv51aW1AIFXcTUlMzj\njOuCZkVRT+0N23OaHzk1xkOX8647OVfmdhsr1FKrWEm2Y3qNuaPzbNw9mphdYJDsIUu/RoL+4j6Y\nF9dpCdvzlSuGvFLHMkc5FwRlu3vl+hcpxoLGOotBd0OKxOWBZo4clxPH+HSBTQfz9JJXkjd0ionV\nj+v9dTFTEWR6ZVd3nF43I6VP2Yt57DTAzhAxa/dqzU4KuExZsPLGdGJd046VTsJFtZ+Xzbh6Bd9M\ntN3CTf+YK1PPwQAn2a8iKoMUfVl7bnZZJrSuWlx3zVP6MFaXpkS82/Nb1xm2lOH1/QUK/YNiXDZP\nin9U/BOERzZUTeGnL2yWhW20Bz0KaYcpbwXBZ04il9NdSSryWTW1qkuL84PdPnPB8QLtqxs7rrct\nRWEXv+To9pzXQmZX6dDecsdyZexvyLqwlcHfDPy8euY9A3vOHHnCBE/GChmzTceSzd/Ezk279ph7\ncA0CNl35JjPTmtIp6Zwlh/3mtRY8+HOQ5yVGBlhz2GATtxjY8rrrrTan5gkVXEr2WEiVB2R3pBSa\ny1Kz+cmV35wbTN7xlk/kowujvRDYaW6w0SfepA9m4B2QW+63B3KbCYV8SzKBHLmByXjj2Qp+bHuv\nkaBL5rdRzrLjJHsTBpEeJNdlvDP9VWbzrGW3pqIuS63OMOTpgZv0SKcTnRoyZ8ncMKZCVSXqpNli\nu9x5LCSO6YmDPnLUJ3Z65vPyrfV9k7TsppH9+czhdGZ3HvEVpbLk72ukaYZ2CS9ZAKUiGqtubb2V\nImnDRvxWGXz1mZOoN3pp7Vj1BlYDnj36MmJyDG3H0HUMfcvcBPplpJ8n2y/jpj9QFW7DkPCz0JxS\n1TG8zYWujfTNxL49M7SPiCtpmykLnqQ1WTrl8mqTkUOl+L3k1A2Al60oXztboRS+c5/ASXac3J4n\nZ/KOYUkcxyeOwxO74cRuHEyXdlRkzMVXj9GG37DWKYqh1/yzBMUHS9NoZm+VivCtrmH/yEEv3/Ke\nOkT6brn08oojjxn9ccpYWTNIpgdrYuELoQq9WAs4RTi8mKLymBbkR4kMbrC2/pcWiM0Lt0VmX4md\n33LPEXugzcPPx5bSJ9tcpXUsDg7Z1JdwtHDxrHvJnrBs6Z81VYBcLQYbZLO+gqufqRtSoRhK867T\nhaErxr6+B9c4HlVnnrQGa9TRgFRTVnF4JXvGE4d0Mm3TrAdbkBblPEqO1K3IEtsnsdrEIhm+KJd1\nAUUuUjRNmi18zzWBcp18bsUsBqCkjKyus+Q7W5JehqGWxRgKmznSpoXojcgreiU6BTyqSgREJdvS\nBBpxTHiNHNOJm/TEjT5wTE+buhW2d4Pm4p7iT9lgX/H6lMIomYFytQ7lcteby7Y+d9iqM3TLKj5e\nhG80G5xke/VC7B3LzjH3jti7jRwuSy36KRvqMRHUDPUSPFMTOHctU9ugiyKN4paIXyIaQZOg0biX\nrICc02VLzq/XZGcJfJ9oupk+DsypIQXMQchCMbEsltn8L4R1/lhzU6KO/Uq/Ro3EMunPZRspP2dL\nJKj1l4Qx0Zwi7SnSnRa6cal9JDPq13z2xaMv3n3FHqsuP0terVu6VaRXyGkd7yE4NsbTT7GJf9/t\nMzX2H2HkD9c59OtNr16x58QtDxxyGsc88IF0Hn6dAAAgAElEQVRjFh3/iHfrjS1bWQhqg99cDcPU\nnxi4X9NA5fV1cXXz4yyaOGRD/5Z3vOYDN/rAQU8rEqeMTkYWQiU2PlH0ZZfs25uhT6uX2iRbLBax\nlETrphUzrpVpLwieBl29lnoTMjSRrH2aw1X7TyyAJjR796uHne9Aufpb4ieLpGtiF0e65ZE2zjSx\nSnPkIS4as6IzIrm1LJZYF6VSfMSVBcDSFpIfjknCxhzpeiZpLx5iRVaB60OOylomHKX9/wNb8X/z\nIvtc3qyvZ91j0MSF3TCyO4/054VmURofUZ/QMBuBXDob7UISM2iFVTKRFZjY8uTJiod2CtVjHFlh\nilJDIgu74+Wpb95jMS6VNgGFTtqJ6d56zxyCkaWtS2Tex4SfFT9LJnsTYmeGewoNkwSSr6I9dbQy\n0zPRy4QT03UN7UIbRpIoQWZCWFCfGBtPVLtXpcdg0bCSGbZxoosTzbKs2HwW2zca8Uuin2a0GZja\nwNg2jI11y85+e8avARArHQayIrhOGcxY7nd5RsqCGJ3pJ3fjTDfc8WZ8QAZBBlOX8kM0lamFDVVT\n9iXFVbj0m/y/BaSHpEJsnZHWtSZtGGJeUPKz4W7BH6DpyGRxl7f8B719psb+C/zN+vPf5tWXreTc\ndjrwUXrHq/TAMZ3Zp4kbd+K1v+cj946T2z8z9j1DLuw+rPn7fh1DNvSPzNlwFGBfrRNqxGVnK8Yl\n89p3cuJWHngj7/i8HHmdPvAm3nETn9jFiZ6ZnR+Z/ZnFNziXOOiTYSh0oNUZxNAbswSCLDhVQow0\nMZosoUaiX0h+sgSSv/S+zbOPFD6O4sFf1xeaVDRpjaJYBZIkkovGjyNFYNyzFKKyK+Nnx4Ktqqck\nsSYjMOTDRhVny1pfrp+e2Mfzmmohi5KjbHwz2WuT+v9JaSWBzHgRWkksTCTNuV71qGIlTx3omWnU\nAJktCWW266TZaGm5dpf52zLH6kSVn82zC2MkjNHy4D7nUkq8fZ0Hvx71VhvrQs6fKQ/I8Mt0lZ6S\nHAEtzl903SaXU1LerbzpJbUUxYODRiYamXJj1IRLpjVQ0CqigBeiU1Jr4vHnYOijs+85S3dxxxFh\n5wbwgg+JLlMzGpGeX8nAzI+wi+IQUKu52D01IrzBt5y1Q5PDRaUL0zbaCVxmDS3o6qQGCyURNBKd\nyykQXdFUdSOlI+LXZqVI6yaiuHWxs9qQ0M5TFhlPhFnxw5IVwSzSuiZg0wa0F9LBZDt1j70+R2Yu\n05iv70mQ1CC4Z+k4u47Bt+zDyK4Z2TUDvk0WCQXwRaHsR8nY/xh/DRSP8tMM/vOaea8jr5d7Xs/3\nvJqf2C0Dr5tHnpoPnJsdc7Pl6coxGqYV0lVSM6WgussAtmLMmhwpAGtbdctkzJdpoIsjfZpo4szB\nn3nl7jn5d0yu41V84M30gdv5xGGc6FlY2pHUntBWCG7moE/s9USfBtpk+muLCzSuYSbiNdFEE/Vu\nZ6WLSmoXtLHUBF5XY2TXRihwzToXeR0xNTEad/eUjLcb3Sh0vfGjzz4wh4CjYfalezCslYfLflsj\npZ9Cw0BHwjqFP6zcom94z2u+sHyLH1/+hh9f/pr98k2aOF+E60DOxW/Gbw3pVyM6s2cGTuu3elZ0\nRDOLZB4vteZ/mhH+tK1+f9nXn1G2v+24NdXytSeeh5YHvMgQlrRNHgnhFFpOfsc57Dj5Phe9r2PN\nLZb0mvh4+YSP4yd8tHzCzXJaaaAlWUE3eWFpjLM/Nkbl+yA7HuSGx0y0fdkRkECExiU6P5O8mKyr\nD0yu4yw7RtqMMyopk1zjSslSc6oM9Ny7WxvNLQsNr9o7Xsd7Xi13hDht3z9fXyvMRnbLeKEQVs8V\nrZPeDpYwsw9nluBYxDFLTZ/QMWqHDEJzUvzjTP+Utjx8GcJlWqYX4lGYbxzLjWM5OsJDovGW1pLJ\n0kj1HEl4BnbcYXobj+x5JQ+85gEn0MuUWVJtcfKlVgM/NGv/PRn7r33ta/ybf/NviDHyL//lv+Tf\n/tt/e/H/3/3d3+XXfu3XUFVubm74jd/4DX76p3/62XH+0Sf/7/d1kl4zn33mtHeauOkf+AKw8098\nzLe4Fi/xpAu8e5cm+nFgN470w8BunGn9I0c/MbsHZt+A5PBbL3PnXiLeRbwor8IjhG+ylxOfc9+m\nTyOvpgdenx9oTxM+RQ7NmaZZODZPxBAIMRMj5bSHb2dcf6bpFnb9GVHoc5eiHxZkVtphwbtE5yaO\n7rymOyjsfc6KnU6S/ayp6pQ078QlXXPh5O5KypzMiBfvIo1LJLesnmP0fvUgJaMrXLRcK+RcZGFg\nxPNRvGdcvskYO8alWwveB32iZd4EYfLnV0HC9nv90F4VY00YSZ9zq7C95sXtJe/bXY2XvPJirDMM\ne+U7L52gJQ8rRrolMSNiMtMlQOocsRNSZzzr6/fL+yiS2UeNQsFOTVcBEMku/24Z6aeZ1+lxYyst\nXr06UvR5OFxSdplTvtcBX65rLnbHxlA9S+NYfEXdwMKRR1qZuOV+hWmWVFQ7L3TTRDfNJtwBdP2I\nkGjcyOxM+UewWstAT9BIkxYkLoS40Il16HqX6GVkcZ7ej7RuRD2cU2cMpoua0Ho00ZTFWwqkRJJ+\nSYQ5EjI76bU0ZOwDw67jvO847zpSEsI50g2Rw/BAMyyE2Xjpm9meNWBL0QirStk2LKoLLuEHpZ0i\nbgIX1XQJjvmhKos54GNkH5+QuLBbHplo6M8T/cNE/2HCvVeWT2C5h+kE0wQxp/N2+sMp1n5XYx9j\n5Fd/9Vf5j//xP/LFL36Rf/yP/zH/7J/9M77yla+sr/mpn/op/vAP/5BXr17xta99jX/9r/81f/RH\nf/TsWP/wW3/19z/jHOIeeKJh5FY+8A9kK9RsL7sk8fJLIjxGmjIeIn1YIAxbLrR4h5UB0pyj006g\nxShcmbnVO+YU8EOiPS+0TzPN04JfEt6P9G7ccqq1RukCbr/gj4nuOLGI5cn9mAiD4s8JmXIKpjZC\n/uVRxCFQDBNdOvhGnnuVyrogGFqiFK22a7sWmIogdRElLyROcClo7bj0ior2Zz2ui4kVbnt9UMs9\nyMWt1TCW81Kee90vzI2LBYPq+pWIonogL45bQREvFoNi9IsByJznGwZecLPAoMiwBhykNotl9Gb0\nr7e1/qCeGC2ns3rUYhh5U0aKNKPt19RXue+ZHG0dBQJYLSzPFyrQJae4kkMca00JnkwfOSV8Wozq\nOUVkVtyIUQ9PgAjdMhOWhS4OpuxV9y/g0agQBRcFH8HJgvNn2jBx8CeidxcyjQseZkHmiM4Ck8E7\nU5OhwFmztk2LqZhFxZe5Web7CNo74k1gmjuGuENUaR/O9A8zh4cTu9P4/P5WSJoaUaPBOogRLJ20\n2D1289Xc7Ku5hs1rlyI9iVZHbpJFVO5RcXfg3inyCei7zdiPMyxXHEI/6O27Gvuvf/3rfPnLX+Yn\nf/InAfjFX/xF/sN/+A8Xxv7nfu7n1p9/9md/lr/4i794+WD/5fs8Sw/sWLv0pFOaMRr50NNsmo9X\nb7ksNOb835PxVsiT8qxhT9iuct5rC+mVEN8IaWf5OmalGReaeYFZDJI1pbzXDXdbG7LthEAsN9iM\niTAkmrOFxTJrLljppYEtow4rW1YDLsV4KUa2NFT7fTWK5m75ngXgW+OpU77OZaTqeIXQyWHdgDf5\nNaVYFfNrH6/O9SWvuxQhi/Zt+exynYrHzdX+Or1yHS1cGbpnqZf6s8v/rj378v5qoZKsASzZQDjR\njK7JalYRU1eaMbC0gn8E5yMakuXnrzblshmtfHeL2HIqblbcoivuvQify/U5w6Z1fJU+uioHWDQn\nkdYl1C0rN391YpsiV+GEL0Xk0lQlim8U1wihAQ1C0lwryfURSSlHlbZHwIeF1keSn8HltNyqN2z0\nyDXk07uEZDnDFCzEswa4fF71/MxzvvUz7n1i3w4srQeFMEb8uBDGaHPnkMc+78ucmO04ohkLL3lf\nruHfFiFepRAFcEFNwjPLTMo7hfcg74E77Fk5s4mk/5C372rs//Iv/5Kf+ImfWH//0pe+xB//8R9/\n6ut/67d+i1/4hV94+Z8f/u4nCJjhqI2CYgWZ+uH+tK1M5jIxKi+gLqi8mH9tsQemGNjGvAk3JWti\nmezBVgRthaUVWwCesvE+K3Lm2cQQco4PYw/UkKkQvDOscyPW/Tgqbky4J33ufbQ56ujYjFuy6yQD\n22JWjFr2ChFbxLQRe3hPuSBVvLaC+tjqdBvqYGBrHpm5NL5lgZuLVyRoD3rIh6nk5mSu3lOueW1k\ni3D0S3J09f3ihXtWujjL/tra1e/5tJx+HQnkn+vawEVVqY44yqKnbBz1FyraPN+u01H1a66/c9Ut\ne+FE1NFImR9VHUMujFAuVb+0ENbnVI+rc0Dyvczi5jh9vvBeH8eBq0XQhYto9yJSKwuYU7xT/HW0\nVr+ufp4Hw9b7IV5GlPU8FZ47C8XYF8dKt/stLzkO5RjXc7A+P2fXvdBSI7p9zzy3RGzNy5T96/t/\nSCn7727sRb73j/6DP/gDfvu3f5v/9J/+04v//z//r+3n//V/sPE9bYpdqHPeD1xCocrkuTjxal8M\nYVm9S6rgegJcHUMUM7h3SpgFfcyTICMzxENshNg5lk5YOgczhHeKf2fFG19ygrVHfV2598LYNUx9\nYOoMU96+W2yo0aZeTLAC++3zuLVrIHmCMWWDX7zt3HipewxRcLC9Kvj34D5gHmQx9rkDkH3+vJLC\nKR5qXlRWwqcCP8sPdeqF+EpIb4T42lgS/b1dR38GOVfGphj3Ln9m2Zf7XMPbylyo73HtyV8viC85\nAdcdpC94yc+ig9rYOJ4btHqTT/nbS/vr43ya4/FSLaM+dp2SWB2TvL+OMr+XHMG1sb6+DnCZonvp\nOl9f1/ocyzwqHnF9Xa6Na/17sQPxhb2yOQnlea/vZ5kb5TxmzLMucgv1vCivKanF63MSLlObE5dz\nuK8+q150amOvIEfwO2jabEvy6/7w61/n//7933/hov79tu9q7L/4xS/yjW98Y/39G9/4Bl/60pee\nve5P/uRP+Ff/6l/xta99jTdv3rx4rP/jf7+cqfOLr3q+SfZO1m5BFaa2Ydo3zPvAtG8uGnVsZc7c\nMAWSlRK+SYQQ1/2m+mMKRFLeWwiyBCTfcPGKBJgaEyEue+cT3uXmp2Q8N7JT5K2SdsBbVo+s5FWX\n3jMfAvPeRurEWiSDIsEglWFvKB3XKHrMHkKJbmbWOkLsIe0EmrwGecV1ihxeuI5Y0ZZFDIEg+Tt2\nitzYMdfQtsUmaZd/l/w3ZTMk5aH12ATPC4XsMBbKmcwbolbQQpGgW9RQP9B1rv6lE3/J57h+APP9\ne1bEvX7/S15o2erooj6f6v1b3lysN6AgXqKucnrlf6WYe/H5UuaDrrw0UjsA5dyvah+JLJknjphr\nPcbtY4V4FViahrkJzE1gaQIpWVOTicrXNB3WVORIOZUjOUplTZUU2Um3FuntXFXElJ6CW1WfNH+x\nwvW/Nr+pmARkRYKXxNgn+2mkmybbz9PzhbU4aC8Z9zKE5wuI52JhKcgnLfezPI8lUrpaVJYmMHYt\nY9cwdi2x9RtYo1RbnqwGGIiEOSPhrmsAZd6UOVme3Rwl6whxhjkaXUIR+Ppf/sk/4X/7F/9inS7/\n7t/9O34Q23c19j/zMz/Dn/7pn/Jnf/Zn/PiP/zi///u/z+/93u9dvObP//zP+ef//J/zO7/zO3z5\ny1/+1GON/9Pflm/59E1mjJviCfwTMArnY8fDzYGHmyP3x8Pafl22mkK4ZaaNE3030XczfTcR2kja\nCXFn/BVxLzn0Ulzp+EusnYYuAUkY2o779sBDe+ChPdItEzfjEzfTI7fnhTYtRg37Rkifg8UJbsAK\nXIMVuqau4enQ87Tf8bTfIV7ZxTO7NFjDUhqRTnAtuFegSSwt86TwaAZUW2tvj51FFtqB94rfKdxa\nkddyyNjkmrNhj+DOSmYA3ox3YV+q8+3FCB+x/Hzx3tedGYjVk9lhDxJqE6tordUeXkk9XW/1A1uF\nuquHVbZrA31t6Mt7S2PSdR7/07z52gMtXlqpjVxFA6mF1AqxhdTkAvuiVoxc7ICxiHHk8ezrToof\nFD8qfmDN26588LAVCxtbzGPrmFvP3FqjDhTkiunlahJOoePJ7zmFHSe/WwvBpa2q0FeX0ZSeBDbg\nrs/NeCE3+vlF8VPGpM+QxDG1DUPTMLYNUxPYOrEtUVRzH9ViMeVvLilvhjteD/e8Ge7oxunyPpXC\nf8nHR2zOXgEorusrJbLRFmjF6m7VUGc2xD2Ce1JzRuqow8HcBx4OBz4cbrg73DD03QrH7hiNaffD\nxM4bPNtPRvR30fRWR/JlPp4xxaoH4B7iI0xnGEY4LTDnOf/5Z7PlB7N9V2MfQuDXf/3X+af/9J8S\nY+SXfumX+MpXvsJv/uZvAvDLv/zL/Pt//+95//49v/IrvwJA0zR8/etff3as/yf8o+/rJFtmjv2J\nIyeO/kQ7z5x2B77Tf8y3wuf4pnxMXC2FbUan8JS5a544yhOxOcPuTHAJbSfObc9ju+ex2/PY7MGR\nqWbndd/ETRzDp8hD2PGd8JZvu4/5Nh+z92c+7j7ho+YT6BOdOgbXMUrL6DpmaejDSN8P9EfjDTn7\nhqem5zEceHRHy5S4zK3iGlqdLLOquTsT62JsZaZzM12YSQGWvaV9phAM3dAaFMz15o2FORJmw9hf\neB+OXGAkUxjk5yd7SepkRW9cpzySurW7d5FAlPDMeDZp3oQ34oLkilVNI2seXm7tF5dxygYnFZf5\nwnNdxE+5SPlpBrr++ToNUnt+JRX2EqKn2OOSotK8r9M2ebgzdo5OrFcAW+Dq9LwXy4373B18nfZZ\nQmBoWqamYX7dWCfnPGeI40RI0aLXrrF73DZ2P5yiXvM6K6TgTAglGP9Pct6oJZxbeY5qKo6i8SAo\nIomaTKwUiidpGXS3euFtmOlkomtMrCPhePL7dQx0q1mvye5KB0A5dq1Y4FQ56JmDnk3HuFz36wi2\nLuSXxVjYKAvayzG3FtVMeV86iRdne1VhPw/supH9MrBbRpt71aLh24VdOIGPdHJm0UCzzLRxoV0W\nmmUmnBN+iQQXkU63KLiumdRIoQF4B3yS9++AD6CPkCZI6bJM9MPYviec/c///M/z8z//8xd/++Vf\n/uX1569+9at89atf/a7H+S/+p/6Op2fbjoGPu3dEeUcIkbBETs2O9+0b/ir8GH/Ol16kS7BWn/e8\nJiACPij/H3dvtyQ7kmznfR4R+MnMqr13d88MSYkmmXSh+/MCehpe03jH1+FbkK+hK93JZCaJ55yZ\n6em9qyozAcSP68IjACSqeuZwrKdpNrBGY1dVJhKJHw+P5cvX6kgkP1N6uIeRr+ELfwzf82P4HkQf\nGrHOemMozY5soivKmzvxJ/cd/+j+Nf+f/I88yRvJeaDQMzHgqzmhmRROjDyHV56HV571FaVwp+cu\nIzdOvMkFRcwUGhNC7lnWbKhlZpdy50ktzekkoV5IQ2DpeqbqzdmeW3tk1YSpYkTjgov2WFsTiqxB\nvjiqdEHd1rUg7+isYBozLdBH6Q7NbPZQD9kxZGHIBZdqvGywhqtQhLPvvE7rK9XBgpCu2aSPii4F\nlytdcF0xyGAvU1BZHA1OERTThFGD4RzoXskxATv4TxusRYW4qo7MR9i6QSjGxmlw2B5bbrCHT/ph\nfaBchPLkiE8dt9Nox4bginnTaipk51hcYHI9kxssTFb5BUcGEfKO8lhck/O1fQwsNZ+uqySMXLPX\n+dx5C4jBLybwtgmODW7mLHdUDWYseG4y8ipPvMgn7pzWzvMW5ENJlcKZ8Tmvdo3U6yZF6edEPye6\nOb2n7868i3qNipk7R+kdpRPcUHB9se1QSJ1jCj23buDejcxuc5lY6KEIn7tXSv9KiIVTnGtviUFS\nxdt+JSgnJsY0QVFCLISlcvyXsg1EDd7c6+O0JKnNRm5sGf3btuoNdIGSDMJ5L/b+yy6/agftP/Fv\n2ACA9nC/X/avAOEiV2vGCBNPvDI64R56Xv0TP8kXfs/v3gX7J97WG+/CzbIKEbITkher//mOV3fm\nq3zmD/wGofCM6XoI1rCEM/xffEEVbnLiRZ75ie/4Pb/lzomme2i2Endeea7Sbc/cOT34oZrr1mBG\nylUxp8kfNKGCwmbe0qwonEAvmVGWVUumZchNy/OoYKlyR5zgfKZToYjxw7XxxN2WXReqfIK817N/\n17lbRaQu5Yonr4NCq5t4tfZ2rx+rmgq6aq2vv6nCXetg4AUdHLmDeDKNlqR71f9A1uowViWOm75Q\nw6O9JoJsGLWTsgYbtQOu56kdlVTpig0aceX98RfZBq/ieOh8bR6wcge9s9IyDzc3/RzxkjmnmS/T\nq523WPDR9GEkFwa/EELi4u82c1sHIqNnWu1AzEqwyQ6vsg666uVYP4Bjcd1Kqwya6NW0ZJIEouuq\n2YdBMptwGKvQXFOLTAg4k0tYXM8sw+riNDLxzKvJTdwK4W5b2bG3tHX0qq4UzXdMq4av73ovcu+5\njiO38cR1PDENPSeZ1oHmxET0wuId0YVVg7bdM61jvnhBg6x05Hs3cK0z/Gt/xlE4xzvn5c7lemNI\ni9VXqnTzu6jcAnzr1TnOLPcwUYNIB4OaSrDCbJSthvnfNbP/pZY/8BugPVY2sdtLJrSQsldiLAjP\ncuIsdz65FxYfKAKL77m6E9/kM3+S71dnoLYs9OuN14SztGaUzaVpcYG7swzlK59pCth7Kz7roDXR\nMkFX96RXnvjGZwqeZ1658sKNMwXHG8+88IlvfObOCdOxWRhlWnHLo4Lj3r9KgL0Bd6RjrOJoxbnK\n1cKm77KZkG/TZAvSQTKdS3TekzA+f3vwi5c1qy641dC8aA3PaoW6dt5a5mfPpVvPaa4k8kYlbde2\nIBuwJq2wuPmMGuYq653dNHn203xXNeiltM7STW66YTBSd+OqOYq4gjolO1BxNZMVkloAS1JDf93u\njxqgK4kxWaf2mGb6bNSnVrynHbars4BdNq/2Pwtm9eGWKpC1fz+AuELwhSBpE0JrzJQ6Q/NYl+gK\nNx2jQIOodnjz2nhV95O8N+Nz723AaOdQcy3OCnMADY4SPNm3hr64qm5awTaTCdzkTNYAGU55RvQb\nn/TKuVy5lCuXcjMjlnvB37Su5ZFu+zMF6DW47wqdugv2pYc8Gustjla/6LIjZ0fJgmagdpV7yQQx\nCfEmJ3HnVOsWljQld7fZnLNkzvuMDwlXTIqky4kuWkPbw2AEj3RqOfzcruW+rhAwY5geq4/9a5CL\n1QLDFfo/bEjiRwnwL7H86obj+0C/t82zZ8bu5k2ZwwJgpOeLfOMuI9EFcgvUcqqB+gtzrfq1h7Zg\n9njNv7Rhxg2nLt4ymllM3+ONZ1azDG6rbUJib0CoNKfZe60IeErNKcyJSFDunLhy4ZVnrlwYmLlw\nqxrcj95RLaC2Y9/MHB6tOkoVvNIg1slZM7ZVyMxCw3rubCbjSM4GgOxqsBe/ttvv/WDXYKexuh1Z\nQGiSAOqq8mU9ZxMjsw40PX4n2xEPxSSekWbJZ0W97D2piXix72/e+ReIbbuSGeaIXyLDUgg5o8SH\nY90kg+ssJ1ivQ27aL7vBLFbVzKleq7Ye55YnJvM5lVdcDRhiN9TmxQoPvrUqbF2tlalTzpg9X91v\na8jZb6W0wj+PgXxff/io1+CjprL2ObBK5SrQ+4y6Aj6iVdeGqkkkosakGQs6ZsqYKA76Yti0rZHZ\nD9z8uBZ9KXBeJr6fv3Ga/5lxWawBbCnbNmENZq0R69gr0QbJFsz32HvrWve7wcuB+kIIkTHcEJfM\nOKjV10rCFSVQGFy0TmBNiOiqiPUT3zFxwqkwlMRzvkEWxjjTSeSZV0plE/lUBeScvicI2IP7GOQP\nMB3bpHWrLXzCTE0qRdP/nzAE4Ar+/9kmDH8LqQT4lYP9T3y3Tg/3YMFjuIFm0rG3/fgNf+QupxWu\nKbhqAN2tIkf7IWRkWqdwq9RtCwrOrYXGKF1VpzvhycwMRHoy4SF47geRZmLYRIv3/rjtGBr7oAmx\n2t/bsP9oiajIg1xrc2F6UGZcWSdbcDoODpuv7G7waJBPo8TJ3rT8PTsqSmff1xllbm8nKFIqlKN0\nddZjGoePmpzOmX5KdCaXK+gK0VhtYK+Qb8FdaFQ/KyR3mumwYOtcnerXzLl+ucfpMlCyEFKdvTkh\ne6MIrpisc3Qlc84TuXSkHLZ91W2nibFMDGWm12zBmEO2JbufHWTnVlPy6E2hcnPrsivqKavUtNkD\n1llNsRrEKh2wn9MWME15oxw3zRq3Sic3DwDW7ToItGYqahJVu1WPWajLSh8z7qp0LpO9JRR0WIGz\nt+fHUTinmSFF/FLor5HhFumvC92U3nc3t5PWGDLusHrQnQwFnTGbSucovTUWtlmgJRxWL1pcR3Qd\ni3Q10YCgBTRV0xulaCZUqK75XqTdzPyzfuNcbnQlQlarBUhtauxs9oMWpAgu6zZj8tt2vf71XogS\nWKqRzSI9moThdaFPC0OJ9HM0nObK1qj1jyA/grti9Z13T+Mvu/yqwf4rX1bcuoEUH3nQ7gN4C+Kv\nPDMxVvigco7XzL+ryu5bAGmDxD5QA+vNo2oFwki3ZqqevA4QR7x6fT9bsNzEhQ+fsR7H3kl2n803\ne8PNo/TRr9aC/Z7Mdlz2OPOWJbv1d23Zv3c/OLTjOu4/ip2PVUlxx7AI1cEr1BnQZt+41VeUFtSF\nqHaOtk+uwUybW1WL12Ka/pXuZ1Z+llW5YCl1KVaUbZVlVSq8A9StZCUsG/6r3vRpmk6NBswXtYqW\n+YXHAUN352llDvnKXqoF3jbo7hy0YghMYeAeeqYwMLlhne3dGVnoH0T5+kp33MtJtySoERX9+pcN\n1Oy03nFaza+L1RWacJjPWjn7tW7QqiVAtv4AACAASURBVH6tGL2Hi+r3daq4JdFVmq5mYfrUM33q\nmT/33M+DDYBp4RzvjGkh3DO8aDXcVis+HoP5sdu7USE7WW0QmxOZQZJK8lX/vcJOay1pd8/uKZwF\nh1dLDFQ9TgWK4tVcGkpNoi5ccRQGzF/iE1cuvNGXGSmYOqYPzF1gGayu0avRqMl2T5pOjto27CCX\nes/MLvDmzrz5C2/+gi6O53jl+XZF8pV+ilsHf1v/X1v1JyvU/q2w+rb8qsF+ZniALdplPC57CCc/\nBMxNk9ztHo728OzXxovdLPmyNaDs1iZLagmW1EcOWrjeP47CFir3jSkdaXOn2mnlm03hRCQ85P9H\nkKZl9mE3F2g+tfvz0KASqUFnnQbvxqJ29O0c70Pwv2QRlF6XjXtdZwMrU0ZskG0SyKlel0djv7Lq\n6PfZHhjRRr3UDUZzG/1SpdYJpLKSxBPFtM1ddTgq6lfD7lkHq2NoPdc6MehEiOWBrsnaEISJVxWQ\nGetB2Au77c7hEjpuw4l7P3IbRmLoas0m12Jv2mY72HaRnns1WbnLafVIgE1kbM+tanaUdmfZVQel\nJ9b7Gh7DnK0v8syrPvMqn3iVZ7wUntwbT/6NZzXMfMwTY5ltmyfTW4qYiFltKKLxvlsmvtNhkqR0\nOeFm0516+nYn9Z7UB67dia/jM84p47Iw3BcGt9BLfBTcC6AjBmPVLu/Yd0zdYINhGMne2XGWiZNa\nb4k6T9SeWXumCpe2p6klfe3ZOlUTmoHIUJ8bWaPDtiQCbzzxE9/xlS/cOfE7+ZHs/0jfZZ6Hm80i\nvNFWUx3cy+CInWc+dfiUV7VNfzMHs9JbElE6UzWVXLhMN8Z54bvlBZmFbop090SnadOQ2mH6pVgz\n1a2Ol61A+1u2nqxfcvlVg728C8n6YbBvwTBgtnGrAbcWVgl0NVZIx8LAhLAZBwPVnWo2uGEXZBse\nLUVxrqxSwSYk9dHxbYXBffjt1kC/rIH+ozXS0e+CuDlG5YeAD6wDRzvexoZpgWHN8lc+uqzHu0e/\n91l9O2fNIBuwCqs8Xov9tWm6+M2QeQ36FQpKlXKQ1a/fQGnwTh1AC1bkKtkCB8UYLMLKCJLiq373\nVgBeV7GBSrWgorXI6lkwHX3TUB/IXtAqQOLEVUVKE9BSsaSRypZxrVlpp69U9gNmhbti75mHjus4\n8HY6M3cdndZSudqV2PJxC/iRUGEbK/w22GO/pnWADBvbq17TxiDqqPhzTQ72iYmjcNMLuXTc9MJX\n/R6nxYrMau7CUopltiXTZYfWoC4JtGHnxw7UD3jtYcoEzRAtG51OPfeTEE8Ge1KLtsFntBfD2Pd6\n/QHL5ptEcA2KMXhm33H3A9l5Yz5JopRo8jrqKOorTXJ4qK3cOa3JSCBx0oknfSWUKkti/FsE2YTc\n6r2f60zf6M5nJvdG9B25c5YABEssvBZCyhTvLOB7x9Kbcmd/z7iqfOknVoJBdnZjh5Rx94S/TgbL\nLC1tZGXeIHbOpSYZWWFRY2a+suUe7yPiL7P8dzAcb96oGz79/qDsxm+v+qJfedY3TjrRacJl6CTT\n68JJpyp3/Ci+0AzKh5rdG7tj03d3xR62INkeZolrOfYRPtln+XmFXpqt4TG4jw+36ERaM/v4MOjs\n4RFBH6b5gbwOdfuAsQEfQA3yFnItCB2X5rfptazYo3M1U64BCXgI+i3wFiN+b0FJa61FrQCreq1w\nSqWiNGZK+7czo5SpArQGUW/7XuhXs+5IVw2jl3VgDDlb1+ZSalPVwjMTmZdasBakK0goSJehs9mD\ndbY6eBJzaWoPaLZz0Nrmy7khQhvsZLhtofN3PrmFs39F1a3Wgs1m8LHGpGQXiK7SF11X3Zu2btGZ\ngT/xPX/kN/zID/zID3zPn/g3+o/8D/pf+R2/55O+1KK4MV98Kbgq5etqZ+2neOffpt8TY8cSe4Ot\nKh3SeO1506IvpXaA8744qrut3QC2DlgX9F4uAujnhI83zq8TWV4BVvcrfykmsXGsF0T7bJ2BNxh8\nIoQrz2Eih29oELwrOJ/xPtugfLinW79Luze9Zvqy0JdIXxa6EvHZZm++yR/U+zXUue3J3fksL4hT\nBiZmGfnOfeOzf2HsZqOhip2vYYlcYqWqeijBtipVy77T1WLSZp3gZ0Vbh/qMCSAWO4daxQp1qDj/\nH+szEkHeNhr+3U5RtU/6Own2X/i6Zo/7to7jcpzAfubFgn2e6FLCZ2uOGmXm4m4866tlHLvlidfV\noaqrQXyzZ9O1ct9JpJeFkTueYnTL3XG1wplhyhboB5k4c+cimwfqSe8PwX+ULdiPTGvG1moUgUSS\n8PBzp4bnevLaKBPpVginwTgtsNrvbFg4nkXBio2d5sobr7RASq1ZZAuY9Tu+w/Zb5ydUs/AW2Cs7\nZzcktq5MJxWJVjUzFVXLrtllOWhF+TMOo2d2FONyEyseHQ2Djrqukrfja1+wJHsgNRqOWrzUB1SM\nv4wV+ZKXqj0jtcAXWLwFZ6OuulW7xZPppTK0ZSHoXCmWbUopPDqfBhrdz9X7py8LJXlboyelrhIy\nCicWnrjzpXzjd/rP/E5/5IfylYteayFWqxaUrjIdzWlqTBHS7VGSeh+4j+ychmrs17CdPwQb5Lpt\n1a5ez/2aFL8kQlUuzeJZho751LMMHbnz1ZindZvHqrFv30GmSiN1BXx6r1/Tip6jImOdPftHLZo1\nXtRzTS3YUu85VbXaDYoTTE9fqgudm8iVerswrXBXiBFmKjis+FrRjiEwDZ3BSa4nOUffJTpJ9CHR\nDRFfqqFPNfZpxfCVeaO7c12v36qAiX3n4iA5WGRThYC/k2DfMvstVDzy7PfLHpz4rC885zfOeaKP\nGZ+UnsTJzVzclU98q7jntjzzynlnNr7eNE2nO1efSo2MasbjUos4K/6nNdiXZgieGWTm5Cae5I1P\n8sInXlbbwYYj7rdZvGHKzFWCYTHKWz2iJMYS6GqQa9l4C/QdkShbwJdqZYazmz6Q6MShh/No+6xF\nvFLossEhlTiNBd025WX9vtogDbVg35qtjIvvSHRWDdF+hSW21q9IkMSwxOq8tTDGBV8eb1870mkH\nOclaZF23TYxue8PxBrHu3KyWPQqmSdQpueKpyXuSD6Swdfy+ceEqT6tV+dqkVXsVTtz4bjVY/MpF\nrpuIV/XAvXHhxplr3XbEx4E/TQy3me6a6N8y4Z75n/S/1h4G248rBZe3GYPUwXifgb/TrT8G83rq\n9qdxLZA2yt9HJuU7yEU7SINnGT1x8KTery5Vrs0S7k1LBnxWogu8nJ749vzMt+dnpvPAU3nlubzV\nrWHb7ipVh0YfA90H30MA+aS4z3XW2yeD+yo02XpB1u9Y79l+sbpQT8aXOhMvFvAprM9IL5EkCw6l\nT5EwJdy1PPpa1HOZhsBVn/jqnvnWPzP7npO7c+runKsvdb8k+pjolkS/qMk9C4/G4wvIjc2f4lrX\nxNpD0BqqZtky+79VofZXDfa/4Y8f4vbH5RFFlrUfdSwToSSkmP7Kqdz5xAvf89NKyWzLhWsN+Let\nUFvZCz4qPkGvyXjV7o0v+hVEudTX+0oJtSmi0mVlyIXRR578nefwxhf5agNReeOS74wlMpIY3cLZ\nTcz+hopwLnfOZeKUF4aSEedIztgm4uvMISuhFPqc6arheHbRvGp9KzQ3T1CtSWZtHqlp3iMfyDL7\nkM09S6IV6HxRJBdctgzfsnrWDtA1EdcNxNLWaapCIZKZzWGJYIFrzbwsuzWWSDZoIdcBfZddSsXu\nqZS24rbBr61OFV82do4iph0kHYuzQWYo0awqi1lWuqLIhHWvKma52CulK+QukX1kTIlP+U5M31hy\nb3oyVGVGHJ3afdXs/TpdDner40Tik95ZeCHS49Wa5la8PSX8XB7WtTPqo4B9DORtXZk/PAbyv7S2\nQO7hFs5cw8k48uGM+EIvC72LdG5BnDKHfl2jD2birs3MfaZLmdBZE5jzjSRQcK5m4K4lFZkuK10y\nE/lyNunv8tnZwJyKObnFgku7GkqtH4QlI68QUma8RTTUonLVrineEUNg6QIxdMbY0Rnygk8LGhPq\nrbckdo4UqseydGTnbTZcas2udcMuWAF68MQhkAZjA6lXnvyNMc1okQe2XEdcCR7aK0tnlpDNfMVl\ntSYyZRMP3NdI6qoZcoGk1pKwfHBr/JLLrxrsf8fvgY0d8vPBfscTR7hw47m8cip3Qk5IUnofuZQb\nn/WFH/iRoxDaiTufeeFSs/tOE13V6fCVdtdr4iJ3PvkXpipb0MpBoRbIfFFCtLWLyqmPXLo7n+WV\nq/+JZ33lU7pyiRNjSgyaOHWRubuzSG8DSLmZl2iMDCmj3hOC4rqapdcCYohKnwpdyaSQSF20rNT7\nWri1Y1qxdM0ErYFN3e6M2Ywk5EyXCy6WaidnZhDOsxpC7GB2+3eBRm1c55OHYPSYgf/MxZbDv3cM\notbmnz0rNrrUzLuJwYWS6fNSMdqCquPme97chau7MLuB53jjKV0hKb1E3GzB3k1ajaMVxoKOyZQ5\nA8Y4aRose+plW8sH6/sb9MPz8vC7I1Z+3IUDvKxby1Z3sywsWK/d0h4IRh+lmsNIFUYTb8FQ2uvq\nVoPw4i/8IfzAH8MP/CH8QJDEE69VzOONQKpiA1YEXeh5kisXMXUnxVFCRH1CfMJ7u8eCM7jrxB1H\nZizWbRyWgovW35AGR+o8qfNQ1LRl5laHacqsWtlRlY68FIaIVSx3AxcOUue5jSN5DMyDZ+l7E/qL\nmbIILFYITp1RfhcfSMFbxy+YVk+258L8a41MkJ0V5aennumpR7wy5MgpTfQ50i1WV1vlMFRNzbTC\nhikIUgSfLYkkW0c3yWAvjn4b9d7QbIycpJs47f5W+qWXXzXY/1ve2xX+PIyznZ2hLHxZXrjcrnTX\niEzK+DTxSV9YvEf6ZAXF3dKz7OTI3jhxpy+RLibcUszCjIVn90oOEDRSkB3/PzKwMJaZLkd8zMii\nDDLz7F6IwYNmzvnOl/gT5+lGmC0Y9+PMRT3qYPAmYHbOd8Myo2El6gQtTRqgoElWMwSXlDBkBjUH\nek+kL5Exm++nWyziBs1IKXitU16tzZE1aLhJ11Xmep49ptFfA8Jqa1h/zsHa6lM1o364OmrNO+1h\nMe2YDyJZY34cLQe1XXPqrIZaHFVCiZSSKbpQiqsS02UtjqKKlztniSQx8+3OGY7auYw43ZyGWjBX\n4Fa/Y2vD39sw7mv6+4fxeEseg/pxIDtm3bJ7z7EIWtc8eJZTII6eeDLidh/N7rKLdn5T78i9I/WO\n1HtypQZmZ41brtacmsiZJ5OrgXkRR3KBH+ULf3A/8M/yO/5ZfsdFbwRNfFaDH0cma1yTsvag2CXs\nuHOm4Dlh0KX42bJ7KfR+4ezASWKUDhcK2Qlv3citDDazS4lwz/SvMxnPHAauoWcaBoo4hjwx5pkh\nGVW0dRS3ovSaDRe7Vm4pnO4znbMkLTtnMswYxCpqs90uJpzPBL+g0XASjQLRIRGjUEbTPxJvhJFT\nLvRz5EkmYmcqmXc38hKeUBWjmi6zQZPLsloOalBCJ6DVm6Bq/q+wVWDzemgZfr1Hc4DFw+Q2nTT4\nOL/4JZZfN9j/+NcZjncpcZonztNEv0QkK+My8cV9I2jkKb2ZZsxuCZoemTJ5IUyZ7p7x9wx36MeF\n5/GNMCYu481MgSvzxGFiXkNarGswZcgwlpkv6YUwJ87dlT5Gnu43nu43uinhizKOCzJCGCOpD7aP\nGOmjFa58KHRdYuxnK4gVZZgWujlbYE7Q9QkGxQ+ZflgIlecbUqmWd2pZVs3S1bGyL9q6PigZo+EV\nLLOtmae0gl2lyEk1eSjBMpbsW4WWbVugFMEV2fZ5zI53Gvo0f81DX0CTC2jYPCXbqofXr8FTCXmB\nvGzf64A/H6fJD4G2LUdWyv7vH8EmR0x8v692Tj56/345Fkkd6CjoaFBHPtsUKy8OvzjU27320FUa\nTP7B6jyepEbHdcUw7qKC6KZBlGutRSj0RC7c+cwbF73ySY2X/7wGe+ue7SUx1WY5T2UFUROGu+HP\nMuk6yEgpdGkhTZtefqmgnl8MOgxLYVgS0UHqtdp3elII+JJIJdKx0W3rf7Vprl7TmjS4rLhaH3q3\n1GvpBmDJuAVCdV5r/sCu+QQf4CNfDF5iBm7WazEFyJ2nhCpHEjNddHXQqH0b0+ZFjLIZ0ByVUuHR\nsareh6pGv4y65Scc3vZLLr9qsP+f/4+/LthLUNxY8INt3VPhEu+Mt5kv317IsbU27t6Dbk1UGE4t\ns+ImLMudYOgiXZ+5dHfj3LbCT73bxBnU4npF+oJ0yuk60ZeFz+WVXJw18EwZPxfcZNnFEBb6LnIJ\n1nq+Ov7U1vc+RELIXMKNEozr65dSvW0LkpTgjb2gzuSMm1OWbbdinj/qs+ftptNn0Ke6fcbw7Beg\nrtKsBncZfueK6f1XOuIaGFdnIIOexBt8IMLHFnH7QaCZgTTbNuGdUTT+sDYaYG3OATap2PpQvhtk\njkG3Zdjw+AR9lKXvA/Ve/76JWO3Xw0C67q+do+MxsNvWf4eYcbfC8C1SvBUe2/3RDLVDpWJqSRsj\nym1b0AfmkxUzzXqp1Vs+MfFv+f06X/VS6MQaoTpZcBRG3vjEjcJXijpWiQY1DFoazh4VF+3Cdp3h\n+FoNxx/BWaq8RmVoOeuaf5bCmTs/8I2iUumwtVCdjTjQTN0fJurt+h6vhav3QVvvID24E0YHPbPZ\nAwqrON2DKUrziN71CHTOJDpGmfnsBPWC6yr1sivGtqnvlbaPj+hw+74D4VHi+Frft7f0/Bsvv2qw\nP//f019+0UdLYLt4Z2AAv2T8nGGJ25C4X44PeZ0K7jNO5wrOle1iH9/rePRGHbBuupzNT2yfRe4M\nFvwKgucPA5BzBRcKod0MrZCzC5gNI1wz32bb11rQ2WUS+2C8D/7PIE+25bl+9zfgFeSNza2qHaPj\nge2D7Pbdju/I8nCHvyfeB7ij0JWw6ZY37fIjU6Rn8xpuzlZ3HtvN91l65n0h85iF/7lldw4+KnY+\nrEdM/yMM/+cC/forxTc658/MGBr9kqLvv59sr3vMIndYGdAfs+DjLAPwJLrjd9ivh2QCbLCnGYg3\niGJ/CIdzaDWmSqPY73d/v+4pmW3dH/MBw8ex3RNtG0D2iUU4vAce76E77665iHHvV49Jx3tv3/th\nH8fvvB+Y2me3AF/jRFAY1YzgvmPrmv27EELjr0vs35/sjveNIn9p2d9cH021PhpZHdvFbZ/7UfFu\n/979Q9Hw6n3w+YBj/A7jPQbYzMc3OjxmsIeMU17tmGU3QDycg49gmOPx7b9Ly1r3gdnx/rweA+4e\nDmlB6ngejw8KPAbL/bnZ/3vPNd+fj4+y/P+W4N+Wv+Y9v9Tyl2Yux9fs//bXft+fO4bjeT5e27/0\nLH00+O2v4RHq+7nrePyc/WC/HzD2z8pxX+8MbD74Ph8d/35fx+Sqfe5+cDk+5y3RLPa6LsCThx/c\nNm7B3y4o/7rBfvwr39dOdMuAy+53zQLs597Xtscb6xjs9kEEtoerDbOFxxujTfP32XZX37fPNj6a\ndRyzlHD4uWW+y249DgTHz23Fx2MWDtvNvYdG2rXYTYFXOGWnIf6OMgaPN/P+QWqDwd7Htp2Tht+3\n69eyd/fBfvYziiOjZf/QBt4HAw77OWaKx+vNn9n+3N8+CkZ/LtD93HJ8z0fB8Bjsj3WEY+Kxn5G4\nD/bxLznW4/c7Bjb4OPHYL/vzfKzB7AeI43O3f5Z/7jwfE6P9dv8ZHyVFx/3ywes/SlKOSUb77oEN\nqtzPXvfNa+24mz5ORQH8CwwnuHTGt2+P5N9FZl9++1emGjUrl8LafNLU87QX0+c4LpWLvplqYNWQ\nwoZpF1hphvVm25QVqYp2um0xfFJD/fwgyKBIj22Hemw34Ca2nernVV6x5LqPvnYs9gKBWt03PF5E\n12CvrXLTiksNitrj2mfsSh5hpf3MoDZycMHMEz7Xk/IKfMNw/DaD2sMuHxU9jw/FcRayh77G+rs9\nRqq7z2jG3sflqNnyUeb+0QN6/PtxQP1oVgMfB8SfgzaOcBG717Xlo0xWDuPI2qL8wXcD08zffe4e\nr1dX79FmxVjstdKglRqMirqHVcpmCuNK2XT598flgOpopk7M/7fef7JYk1O7/0snVSd/11Mt+lg/\nyvb0qGd11EJ47BZuSqj20G4lOGHrGgeDtHbnRPaD0D4J3A1E2mw4Xd3pwiqGJ4u+n81W2mprfGr3\njeny62ZVuR8AerYkqsJHilBqjwqKfd68UU1lBN+DD9DJ423wt1h+1WD/+r8P7xKh4/LR311U/Fsh\nvCn+WnCTEp8Dy7MnPgWW57BdyLoP0cLm4Go4u6sFWl/piGUwLnCua6n7WNUesxKmQpgKfsqEuRBP\nnngORps7BXwptYvOuumcKvk31UCjanL7u9p6K/i7EofAdOmZzj3zuUdEGaJ1mw5xoc9mIqGNL+1A\nXuv6Au4Fu3LPu3WfNbR1PzOIbNlHmzm0AeM3wA/1pH+ETx8fqGPwO9YOPmLJtM7Cy8+85rgci6D7\nYH9cjsHymJntp+bHjOu4j49+/kvB/iOcfz87Cqx+v82IY+3KFTOgAWOjrAqrutVsBNvG2oOwSE90\nPUIxeQKN9Gqd1/s+C1De5MKre+JNbO1L5FN65VN64zm9MZb5YVBTjIWSQuPIO/xU8LdiNoM386C9\nnwem88D9PBCHwKDVq1nNr/nIDEviWELH4juW0JHFMcyRfokMi21T78wwvPfEPtQBpHoAUEX9mlZQ\nbV7iztpIJ3e2GWNdc+fW/aXOzNi7l0T3kum+ZbqX9JgUeCgnIV8c6eLITw7txZrBcm0Kq8wdabPv\nmQ1lqGvuHUvfMQ8dS98RQ2D4Y6Sv6/ASmV+Vrzf4wwJ/0K2Z939j4yT8ksuvGuz/8L/88Fe9LyyZ\n8WVhfFk4vcx098z0qef66cT104m35xN6oF56EkPtaBx0tuaISr3knnH3TDwF7qfBVP3OvVXd2VR5\nfDKZ1/6aGN4UvSvLpeftcuJ6OfF2OdMvkafrjcv1ztPbHTSzPHXMl8ByMR71cE0Mb4n+GnFviXxy\nxEtgvnTcnszdirvi74X+ntDEOgClwboQw0+K/6kQhmJsnKDwSdDPoJ+xbKLy21ee7x4K2sv57oPV\nvh5R4SDdB7IaxOWYEf8c5l8z0ObTqk6sySTuGmj2GZjbfaawZXTKSr2T/RSd3fYvHAfwPuAf178E\n2bTtEU75aAaxDxqH86r77/qwCs0A3rLXbRRSFJEmGCCrd3D2Ve9HHE4Fr1J9SWTVV7djd0RxRPEs\nzrOIR3ImZUdKYkbXZW8iUwefUKmenZCDEO4Cr+DeFN6gIMTnwPTUc306MZ87UnHkAqUUKHltYPLZ\n5EnU2X5j55mDObbJ3ZKoche41yB7EtLJsYwOcUpQNd0bFTRjXao1y9aEyRHcsUg5YuygUVZ55TzY\n90i9EDsbSt1J8J01tKlS3bt21/AEWokN+mz70Wyft85i22fed/dB/7iavLOgQ9VseqvPQzUxiTe4\nLfA1we/LxrP/gFj6iyy/arD/v/hf/6r3jW7my/jCF15w/QthuXMfT/w0fseP/Xf8KN9x7KDtWTjL\njQtXznIzTYt+ZpQZupkwZqZu5Fv/ia/dJ36ST/ZZVcxsZLLXesEF6IYMmpn6ka/dF3703/GjfM/Z\n3/mh+wkdf2LUCArTOPLWnXn1ZyYZePI3noYbz+VGLwnXF/yQ6DrHIGYV13UJr9k8VLMQ+46565j6\nnrnrGMbIcI7W0JEiEiB/EsqzkJ8FHbEHK1kXn8v6CP3soZB90Npj62EXhKTOKFrQLbugy24/bWnT\nUIHkxXxPgyN5ZzpEs82MwlwzowN+22YxpW4pVNVHLODv8NjVQOQ4CM2Htc1U/hyGfZyOf4QDfzSI\nfPD91+2xSOjByXbcXqjSzIpKtmjjgGoW3uiH2/vt96GPDF0id3dyb7hGU3IVNfgkN3/hYDOHvsx8\nrwvf5T+hxVUIJ+NdRrrCgmN2PUtdozP9/iDJdPwl4SWbHLgvxqwRkwf3LhMkGnriCkUc0Xeg0CWT\n/aCYxo7DmgB7NSpKRhgwY3hrmqPKlmcL7uRNl6quLlXjmbpt97bASkDQQchnW8vZNJIUcw3wRCSD\nV8X7Yh3sp91zUa+pi0p3KyZfsoiRHBoE3BzB9rDkxFabqrNVFwqjRvo5obEKBr4o7q0gd2ty1Agx\nwZzhvsvs/yV8k79m+VWD/T/xr/+bXm/PknCWGxq8ceK5U7qJuRt47Z/50f/AP/Kv3gX7oXqJzlWs\nyzxKnRkMh4IbMm9u5Kt75o/+e/4o5o/7xBtPvFqckELnM7lPhr05YR563rpn/uS/55/4VzzLlRAy\n534i4XGaiX3HvRt5c0/cOCFeCJ11xBYn1sDUK86baqUI4AvaK7l21i7N/cgP3N1IcTPihOALg09o\nUEpwpM7W0ondwKFmVKXURhJdtw8MpFIz8EGqEYM170TxVTTMtNlNlqRJ75pWeijWsRhKMku4w+Ic\nqCtWd222eVQtoKDvs2Jh5fk7bzip0pqDVmACKh68KtVEm8WsD34bvE4YTix7FUyznYvakTQQtSNq\nt4p+tTXkjE/WvBZS5X+3wH8c7PaY43GGcZx9NMx5xeNhpdVWj4EP4aHdzxIKzkPYY8m6HYqKBZni\nHSWANh2b1VbSBo3ScGxHtWsU05Nxnug8qD1NomXVN2qDSsPQg6Qq8w1ea+dvah3AaQ3Qvl1/b6Y2\nkgshJ9RVaEQL3hfowDsFzbhYCGtPATRTm+KxRKFove67e7oWS3PnWLrA0ttaOql2kNs1bpTRfff4\nw8zPYxTkjDVOVfmHHCrkGxw+WB+MF/sOa60Eu/dkASnmv7FCkd/YKMM1uWrSJdUJ8uG2+qWXXzXY\n/5Hf/Itfu5dJe5Irg4s8hStRvZDKhgAAIABJREFUA+qFJfRc/YWf5Au/57fvhNCa76TdBwUvqeqG\ntDOfeGPkG8/8ie/4Pb+lmYZY1+FCYiZ7R+nNk1U77HO7M1/9F34vv2VxPU/hyhf9RhazMkwhsHgz\n2bhyofeRsZuIzpOrwYZ6g2Jcc2/yagp4HkSF2XkmZ4YLd04VEsxk4joIFqk+vBLIXizb0ozrCk6F\n4E0Lx1MsQz9ktuohjc5a9gdbTSelrSOmDb5p7w9l4RRnzmninCZ8Nj+1JqSGYthmgYeO2I+CYc3O\nkccZBBlS1ThJnSd2Vk9p6qNNzMoXxSeDifxSH7Y6lbfuU4jBEavV3RKq6uVu7Xe+BCMTY1wY55nT\nYts+lve1g8Os5KGI3To0P6o37Jf2+30j2rGoe5hRmNTy7nUfwkkKIW91gwO0UDqQTsgdNgjWom8L\n4m1g95pXcTNLHnbaMKIGkwJCpldHP2VT+bza9mF24kACuJgJXbZz1OpB2N9wmHxx0bXG1OoGsd4D\nqkKX7OS6ko30cIDssvNmkO5Gbm6kOFkNhnoWOongi82gfaHZIj7UWNp9Wa+PqhBHz/TUMT91zJeO\n4TUyvkSG14jrqsRxQ5KPHeTt58bOE+AE7gRdb6bjJ9mITh+Rm36J5VcN9j/x3X/T67eg5vnsX7jJ\nyN11TOq5uZ6rO/Hmn3iRz++CfSKYljUzJ+4s9ARSdQBNRBIz5lzzxhMvfFqdp07VrLxZ5BURsgjF\nQXSeSQauXHjlE14KVzkx+54FR1Ah+polVRPiKMGm11pNEaohdmttVxHEWRWvOGdQkIzMMqzWbJ1k\nkixm1u0Ecazm4U0P00mmIDT1SZzd1C4A1cVo/3CoE5IPLK5jko4F8/Ft6n4X3mxfunkPBEzpUFwm\nBiFrV9kGmzLkoiaBPKt5eIWcOKeJU5w4J9Mo2meyus+q6upQumweBF2u0+AGV6haoW4CmUz8jDuk\n0a+BPZ68QXBqsFG/ZDoK6j0Ej3prhW/fSxGTyfZQBiEFzzwEQmmCeJvLmRlgu5UZk4s5LOXiKMWj\nRXZ6/gqqbKLeVV1zSWuBsp9Nv/9dsD8OGP+SGsVxADjUEsRj8EUQfFBCl+n7hdwncj9TOmeNgzGv\nKpWmp18zXUfVkzFZZr8kw8FFkVEpoRCfxLJ5ZevE3R9LG8hWhguQMMiyH5i7nqk3QTLvTDbbY/o9\nqXck77mdHCTo5kyYM91i26KOXDxRu2plWOGhioS7eh2bNAPYbCBdPPnsSGdzPFuhMbVESRN0cyLc\nMpc04+/F1luxwnAr0DZ2mfAY9PedsnUWEgKMHj45kzhuRdm/C+rlNz7/dW8UeHMXbm5k8j0zgYme\nq5x4rYH6GOwLjrE6yy8MtV28BXrzRGp2Zy1wd0RGJiauxAr/JKyCX5wVwaIEC/Zy5oVPBBI3d2Iy\n4VMS+2Df7RyLvA0YlVamsvlfKY5UA0gzOj8aHI4sJAkm+CZidn3i1gEp4XAIXgpKNTpxGe9Bi25t\n/odgX7yrsI35ae39BjybPWHbCgV1at8FZwVE3d6lCHcGapWEG2f6FEnxFfFKvyz0OVa1x12N4KFI\naFMQhz1wLtlD18xTVKvlXq1RkIylUbKQi2cpHTMBUehjJKRMH21GoL2H3kGviMsVXmmps2Hes+uI\nnWeqxjFB02pNGDRtRth1m2Rvyd7Zean7tNi9Bfs2IA7zwmlaOE0zOgtdSjzShStEkeV9Y9tqXqKr\nsYkU/bhv5KDsKa0m0GCHTmEsG2Ww531mKhw6Ua3w6mOxj8r1GgajQ2cn9bqAS0bdVAw2Ko16aVfS\nBoVkhfvsAnPoeZMTV3/G+cwoU013LFKW4MghkHtvdFJnM12XtOL9wt4HrllaqlqyYA5etc5RH4Tc\n2ex2eQ4snwLaV9ixJgI+FsJLIXzLhBclfCuPfSNtptKWFtDbjA0+ZG15B4MYc/oTGwP57yLYX7n8\ni163PSK2dRRucmZiXIPwzMBUPSVfeX5nXqIYlDMxVFPAQFcfxoUeT2auQcmC/fOqlDlVC+MW6Fuw\nLyprZn+TE688M8jM3Z2YZSCJvSc5k+u1YG/HW0PnemxbcLRbSmvgF8wy0LyStjWKGWwU50ytcp0Z\nVHEsPOZv2ySpBI+SxRx4dJ9RtcWB+K3QlpBqyHFZjTlENhtJT2bEbCAv+lYduqbHzFLNdevMbSW+\n+lwYSjVmd8kCROVcFw/ZC3c52erO3OTE6vpUV4dR/rJaLq7qGPuFsZ8Zx4VxXgiacVnpXyOXF2cz\nhIpXOwriYWDGETlx5TNVIbKqRJpa5GYNPtEh2HtgrjObtFo0thmB01KdqjJOMpvB4mbwsn2X2b5P\nZ/WZ6zhyy8OafZqxuW212j6qGoSxN3YxX91CqLo1Ie004veDQzys+yJ0YTPWeOMdA2udVbS2/wpz\nSGeYtPb2b9fVorrXVWJZqudvUx1IOy36pQ8UEXpJ9FrN6UkMcSaUxGW+kd++VhMaG0BK7yni8bEw\npEiI86bXs1gAX6U+ZEdhhVo7qJaNMW+MHm3Ywa4OhPlCNE2t1QPY1X6ak76H5eRwrhvzrWfT5wlY\nL8u3el5vPLqN/QrLrxrs33gCWEfUj5ZjoAdWze2Zgblmy3PNzFuwPgZ7T2ZiZKmBe0Odt3U57CMR\nVk3vFqDLLtCbjVhgkX6dEZzkbscmgxU1CWumt5pQt9mBuK1pBHZG2478MLT5NUu0QceOvw0K1JmB\nyt4C3dpdt3xFyGIFpOKtn8ztArJghbrstllIC1B7/9T1WlW2TSKQNNjAph1xRRrfL5vfrmG8m4/u\nehh1lmPQVisSLi6AKAlhwRPoamDdsmNLxKtVpCQrTibFpbxmwIqQOyuoLV1HCYKEAt7EwDpVtAil\n2HXWCoklrIhrmaHYWVFzQwoPHXi2SU7B2yxJWkMSsrs2nrJeXYNAzLSlWZbbTCDgCPWM+t1727pf\nBJOaHmJkjBGJC5JzbRY0RVItgkZMqTHZv6UytaTOih5mBPvB4Ljm+vcGCVWV1Jbxy0Onsq7KqRqM\nPBA7z9z3LJ2xzIoIJS4gFoxJ1KJ/ZqhwUVLPLKZLnzWYF6yqeR2kRF+VaPfZs5NCkFS19s1wsGtm\nRFIbt+rFUxUbOJPiF6M9O28sGWk2oM4YQQ7FNahm5M9DarIdz1o3aTTcdp7YlVl4sPz9my2/emb/\nqI1n22OA3wd6gJ652ncPrczy4D5/5/Qu2PcszPX1aRe8jsF+YQvcGc/MQDSTs22q3gJ+LYjO0jPJ\nyFUuNnuQcTXQbjnwandHeMD+izcu874JzL5zc8KUmqnX96778etMoKXoFlC2YKC0KaCF/CyVaYFY\nwnYopCZxzNJz48QbF25YRn3izoUr21CybaVBRGgd3C4VxtlsJI8ewj2Jc7lzYcKViSEv9UbXtTA7\netMIH2ThwnX1eY0EJk4osp5Z8wK2mUJYBxEe+wYUcnDc+4Gp75mGnhjCamzenId8VkIVt7PgV4Nk\nM1PXmvnpjjKwGzRRmDvrhdA+EAejL1KPtw3jLWsHJeHX+9/X9LlBZ4AlGfjdvMbW4/MxsPAkN9Td\njBlCNsP1ysUvTtbhtmAdtD4VwpLpKs7tF33ffPdRoG9Nescu6iZ18Xgzkz87lu8C8Utg+exJfWN4\n2UqGLhdKMmoiC9vsYRf9xKuZe1e9ffGV+tiz601gna14lxncjIi5hxUxJpB3Vs9apCOEWs/C6il+\nKfirogn0LrbvTo2zX3tPDEo0phmBzWKwre3e22t4tUJvE/27785fsMHSO+uebba17Tb+Wyy/arC/\n1xLE47RJDz9td057IGbGQ9Zpj2vL7vfBvr1nZKrBvmXH/mHN+DpDGNZ92GcNa2a/Bnyq/6WyepXO\nDNw5YcZt23vSihfuthJq4PWbVG0zihDWANm2tp8D3r8CB7KLNRvun3HwwXkt6yyCzXYQK5jVWLbO\nEBrWuWdC+XU42YLsGihrsDXPWjv7wJaNSoVxXKpZUrGpvkDxjuytaadUsxR1IK4QqqfbvhKgyO7K\n2TBo0/JiZi5NUHVPYRQ1iMpHegeEQsaz6GXd00BkkIXBLYx+Mbplag1BNgC8K5LayV+Xrs9otoGj\n18jUDdzciZsMXN2JyY0b/lu3Y5k468Sp3DmXmUCq2b6sHbbtDtJ1cHcPV9hLRqoJvdVRHIvvmH3Y\nulWlXxORhZ4hL1y6G0/DlUu8McZllUGQhc1Ob7+2prxp97sjbXFfTM7gbrWIO4N7LZQuU1xcO4cp\n0E/Jip5Thgmmy8Dc90z9wHzpoVNCLdCGVOfIRY3qiFI8a9GYylRyWFex5IxPZki0SqbIbtA2rMag\nTDCILNqFLa2+0EmtMYCbFR9BborcdGuoalvPltW3aH2soTSF18rccQ6Cg74WZ9vc7e+CetkC6r5U\n5SpGvQ94wC7cbAG4BXrL+Po1u2/B/uP39GuWeFwbttoCd3tfg0+2jHkbhAruYZBowb45VG6Z+C6z\nx1Oc3zRKZAfH7LLh1YScsNYZ4rof93B+trLilkkfB9Hy8NNuhlmx+420sYWRmb6SEK0w7Cn1TKW1\ngH3hjSfe6refNoYMhoMm2Qa6JAFPoXcR7xOihVJaN6Uz5kzwD/dA+y4N+gnVUmo/d/CquFyNXKb6\n8NVCogaMiVOUrkRcSfRlZimBb3yy4rp85kWeObsbZj/+xhNXxjTTz9kkMEqdbx2x7wNrplEUm5nL\nvTuRu46X0PMSvvCj+253z9v2O/3Kb9JPnOPCJc0MMhPruYjBo14MesBqJv367bfzZLObGS8JpJAR\nJtfbQONOXN1WJG/bi7vyQ/cj0Xtcl3A54pPiklSfWN0y5ba2oNaiUeOJ1wxWPY/NexFzgvpa4Ke0\nBrfHIi/v2Eb3buTr5RM/jZ/4+ukTvVv4kl/4nF8Y48SpPKoKlhbgGyUVkFIIGVzKhGiz2Qabmvkx\nVqAFczdr/QrtOye7fzLWEJh6R/HQ3RSWgrwV3NfDbKghmW32AxsF91hU36nHtlMyyFYaab//Wyy/\narCfGNcA31YLSo8POvDw9xYAW7b9GKgfg317z+MAsUEie2gkPswORoSyZuhHKKktLfO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       "text": [
        "<matplotlib.figure.Figure at 0x109484bd0>"
       ]
      }
     ],
     "prompt_number": 30
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Conclusion"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Evaluating IIR filters in matrix form yields an especially fast implementation, especially on modern SIMD processors.\n",
      "The technique is general to many different filter design strategies.\n",
      "\n",
      "Given freedom of filter design strategy, a trapezoidal integrated State Variable Filter has many advantages over\n",
      "the traditional biquad formulas. It is both more numerically robust and far more conducive to modulation, even up to\n",
      "audio rate. It is as versatile as the traditional biquad element, and yields the same menu of \"EQ cookbook\" responses\n",
      "without especially difficult math."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 30
    }
   ],
   "metadata": {}
  }
 ]
}