{ "metadata": { "name": "", "signature": "sha256:19db31b461c0c11a76875accbb11dd3b1cba469af6903110665b7511796871c4" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "

WACM Formulas: Interpolation

\n", "

Polansky/Kant

\n", "

6/20/15

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(Thanks to Douglas Repetto!)

" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# imports\n", "import random\n", "import math\n", "import matplotlib.pyplot as plt\n", "import pretty_midi\n", "import midi\n", "%matplotlib inline" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 13 }, { "cell_type": "code", "collapsed": false, "input": [ "# first let's generate some random values to work with\n", "# we'll use these for all of the following examples\n", "# this will give us a \"basic shape\" to work with\"\n", "random.seed(1)\n", "\n", "# generate\n", "num_values = 6\n", "values = [random.random() for i in range(num_values)]\n", "\n", "# print\n", "for i,v in enumerate(values):\n", " print('v' + str(i) + ' = ' + str(v))\n", " \n", "# plot\n", "plt.scatter(range(len(values)), values);" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "v0 = 0.134364244112\n", "v1 = 0.847433736937\n", "v2 = 0.763774618977\n", "v3 = 0.255069025739\n", "v4 = 0.495435087092\n", "v5 = 0.449491064789\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 14 }, { "cell_type": "markdown", "metadata": {}, "source": [ "

(1) linear interpolation

\n", "\n", "linear interpolation between two values $v_1$ and $v_2$:

\n", "

     $v_t = v_1 + (v_2 - v_1) t$

\n", "where $t \\in [0,1]$ and $v_t = v_1$ for $t = 0$ and $v_t = v_2$ for $t = 1$" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# linear intepolation between two values\n", "def lin_interp(t, v1, v2): \n", " return (float(v2-v1)*t)+v1\n", "\n", "\n", "\n", "# some examples\n", "print(\"some examples of finding an interpolated value between two points\")\n", "print lin_interp(0.0, 3, 10)\n", "print lin_interp(1.0, 0, 1)\n", "print lin_interp(0.5, 3.7, 4.2)\n", "print lin_interp(0.2, 11, 11.002)\n", "print lin_interp(0.7, 3, 4)\n", "\n", "# plot\n", "\n", "v1 = 0\n", "v2 = 1\n", "num_steps = 40\n", "ts = [i/float(num_steps) for i in range(num_steps+1)]\n", "vs = [lin_interp(t, v1, v2) for t in ts]\n", "print(\"\\n\\n\\nsimple linear interpolation between two points\")\n", "plt.scatter([v1,v2], [0,1])\n", "plt.plot(ts, vs, c = \"R\", linestyle = \"--\");\n", "\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "some examples of finding an interpolated value between two points\n", "3.0\n", "1.0\n", "3.95\n", "11.0004\n", "3.7\n", "\n", "\n", "\n", "simple linear interpolation between two points\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 15 }, { "cell_type": "code", "collapsed": false, "input": [ "# break-point linear interpolation on a list of values (given above)\n", "def lin_interp_breakpoint(t, values):\n", " v1_index = int(math.floor(t))\n", " v2_index = int(math.ceil(t))\n", " return lin_interp(t-math.floor(t), values[v1_index], values[v2_index])\n", "\n", "# plot original\n", "plt.figure(figsize=(12,6))\n", "\n", "\n", "# plot interpolation\n", "# note, the plot program could have done this\n", "num_steps = 40\n", "ts = [i/float(num_steps)*(len(values)-1) for i in range(num_steps+1)]\n", "vs = [lin_interp_breakpoint(t, values) for t in ts]\n", "plt.scatter(ts,vs, c = \"cyan\")\n", "plt.scatter(range(len(values)), values, c = \"magenta\");\n", "# plt.plot(ts,vs);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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AVDKXS6RV6IFYIg0AAABucMVLpAEAAAA1ESUYAAAApkMJBgAAgOlQggEAAGA6lGCY1tat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\npYLx4yWLRbJYdLZ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"text": [ "" ] } ], "prompt_number": 16 }, { "cell_type": "markdown", "metadata": {}, "source": [ "

(2) half cosine interpolation

\n", "\n", "half cosine interpolation between two values $v_1$ and $v_2$:

\n", "

     $v_t = \\frac{v_1+v_2}{2} + \\frac{v_1-v_2}{2} \\cos(\\pi t)$

\n", "

where $t \\in [0,1]$ and $v_t = v_1$ for $t = 0$ and $v_t = v_2$ for $t = 1$

" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# half cosine intepolation between two points\n", "def hcos_interp(t, v1, v2): \n", " return (v1+v2)/2.0 + ((v1-v2)/2.0)*math.cos(math.pi*t)\n", " \n", "# some examples\n", "print hcos_interp(0.0, 3, 10)\n", "print hcos_interp(1.0, 0, 1)\n", "print hcos_interp(0.5, 3.7, 4.2)\n", "print hcos_interp(0.2, 11, 11.002)\n", "print hcos_interp(0.7, 3, 4)\n", "\n", "# plot\n", "v1 = 0\n", "v2 = 1\n", "num_steps = 40\n", "ts = [i/float(num_steps) for i in range(num_steps+1)]\n", "vs = [hcos_interp(t, v1, v2) for t in ts]\n", "plt.scatter([v1,v2], [0,1])\n", "plt.plot(ts, vs);" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "3.0\n", "1.0\n", "3.95\n", "11.000190983\n", "3.79389262615\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 17 }, { "cell_type": "code", "collapsed": false, "input": [ "# break-point half cosine interpolation on a list of values\n", "def hcos_interp_breakpoint(t, values):\n", " v1_index = int(math.floor(t))\n", " v2_index = int(math.ceil(t))\n", " return hcos_interp(t-math.floor(t), values[v1_index], values[v2_index])\n", "\n", "# plot original\n", "plt.figure(figsize=(12,6))\n", "plt.scatter(range(len(values)), values);\n", "\n", "# plot interpolation\n", "num_steps = 80\n", "ts = [i/float(num_steps)*(len(values)-1) for i in range(num_steps+1)]\n", "vs = [hcos_interp_breakpoint(t, values) for t in ts]\n", "plt.plot(ts, vs);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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swJJ5Z69rV+mee8yq8M6d0l//am78TE01N/yNGmVuiP7+e9tpEcxYCYbf6tlT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\nrpT69zc33/bqZTsNAH9Rkd5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"text": [ "" ] } ], "prompt_number": 18 }, { "cell_type": "markdown", "metadata": {}, "source": [ "

(3) exponential interpolation

\n", "\n", "exponential interpolation between two values $v_1$ and $v_2$:

\n", "

     $v_t = v_1 + \\frac{e^{kt}-1}{e^k-1} (v_2-v_1)$

\n", "

where $t \\in [0,1]$ and $v_t = v_1$ for $t = 0$ and $v_t = v_2$ for $t = 1$

" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# exponential intepolation between two points\n", "# implements exponential growth when v1 < v2\n", "# implements exponential decay (negative k) when v1 > v2\n", "def exp_interp(t, v1, v2, k=1):\n", " k = k if v2>v1 else -k\n", " return v1 + (math.e**(float(k)*t)-1)/(math.e**float(k)-1) * (v2-v1)\n", "\n", "# some examples\n", "print exp_interp(0.0, 3, 10)\n", "print exp_interp(1.0, 0, 1)\n", "print exp_interp(0.5, 3.7, 4.2)\n", "print exp_interp(0.2, 11, 11.002)\n", "print exp_interp(0.7, 3, 4)\n", "\n", "# plot\n", "v1 = 0\n", "v2 = 1\n", "num_steps = 100\n", "ts = [i/float(num_steps) for i in range(num_steps+1)]\n", "vs = [exp_interp(t, v1, v2, k=1) for t in ts]\n", "plt.scatter([v1,v2], [0,1])\n", "plt.plot(ts, vs);" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "3.0\n", "1.0\n", "3.8887703344\n", "11.0002577025\n", "3.58998046227\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 19 }, { "cell_type": "code", "collapsed": false, "input": [ "# the exponential functions has an additional parameter, k\n", "\n", "# params\n", "k_min = -20\n", "k_max = 20\n", "k_num = 10\n", "\n", "# plots a curve for a given k\n", "def plot(k):\n", " v1 = 0\n", " v2 = 1\n", " num_steps = 40\n", " ts = [i/float(num_steps) for i in range(num_steps+1)]\n", " vs = [exp_interp(t, v1, v2, k=k) for t in ts]\n", " plt.plot(ts, vs);\n", " \n", "# plot them all\n", "plt.figure(figsize = (9,5))\n", "for i in range(k_num+1):\n", " k = i*(k_max-k_min)/float(k_num) + k_min\n", " if k != 0.0: plot(k) # k=0 is constant (does not interpolate)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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fKDnAh0c+5NgfjplneUWrheXL5Vwd27fDCHugGyWJN5RK/qFU8mJoKPcHBor0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"text": [ "" ] } ], "prompt_number": 20 }, { "cell_type": "code", "collapsed": false, "input": [ "# break-point exponential interpolation on a list of values, k=4\n", "def exp_interp_breakpoint(t, values, k=1):\n", " v1_index = int(math.floor(t))\n", " v2_index = int(math.ceil(t))\n", " return exp_interp(t-math.floor(t), values[v1_index], values[v2_index], k=k)\n", "\n", "# plot original\n", "plt.figure(figsize=(12,6))\n", "plt.scatter(range(len(values)), values);\n", "\n", "# plot interpolation\n", "num_steps = 80\n", "ts = [i/float(num_steps)*(len(values)-1) for i in range(num_steps+1)]\n", "vs = [exp_interp_breakpoint(t, values, k=4) for t in ts]\n", "plt.plot(ts, vs);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 21 }, { "cell_type": "markdown", "metadata": {}, "source": [ "

example: interpolation between morphologies

" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# example: interpolation between morphologies\n", "\n", "# generate melodies\n", "random.seed(6)\n", "num_points = 6\n", "source = zip(sorted([0] + [random.random() for i in range(num_points-2)] + [1]), [random.random() for i in range(num_points)])\n", "target = zip(sorted([0] + [random.random() for i in range(num_points-2)] + [1]), [random.random() for i in range(num_points)])\n", "\n", "# plot source and target\n", "plt.figure()\n", "plt.title('source (green) and target (blue)')\n", "plt.plot([p[0] for p in source], [p[1] for p in source], c='g');\n", "plt.plot([p[0] for p in target], [p[1] for p in target], c='b');\n", "\n", "# general contour interpolate\n", "def interp_contour(source, target, func, i):\n", " return [(func(i, node[0][0], node[1][0]), func(i, node[0][1], node[1][1])) for node in zip(source, target)]\n", "\n", "# linear interpolate!\n", "lin_interpolated = [interp_contour(source, target, lin_interp, step/10.0) for step in range(1,10)]\n", "plt.figure()\n", "plt.title('linear')\n", "plt.plot([p[0] for p in source], [p[1] for p in source], c='g');\n", "plt.plot([p[0] for p in target], [p[1] for p in target], c='b');\n", "for inter in lin_interpolated:\n", " plt.plot([p[0] for p in inter], [p[1] for p in inter], c='r');\n", "\n", "# hcos interpolate!\n", "hcos_interpolated = [interp_contour(source, target, hcos_interp, step/10.0) for step in range(1,10)]\n", "plt.figure()\n", "plt.title('half cosine')\n", "plt.plot([p[0] for p in source], [p[1] for p in source], c='g');\n", "plt.plot([p[0] for p in target], [p[1] for p in target], c='b');\n", "for inter in hcos_interpolated:\n", " plt.plot([p[0] for p in inter], [p[1] for p in inter], c='r');\n", " \n", "# exp interpolate!\n", "exp_interpolated = [interp_contour(source, target, exp_interp, step/10.0) for step in range(1,10)]\n", "plt.figure()\n", "plt.title('exponential')\n", "plt.plot([p[0] for p in source], [p[1] for p in source], c='g');\n", "plt.plot([p[0] for p in target], [p[1] for p in target], c='b');\n", "for inter in exp_interpolated:\n", " plt.plot([p[0] for p in inter], [p[1] for p in inter], c='r');\n", "\n", "# # compare all three\n", "for i in range(9):\n", " step = (i+1)/10.0\n", " plt.figure()\n", " plt.title('i = ' + str(step))\n", " plt.plot([p[0] for p in lin_interpolated[i]], [p[1] for p in lin_interpolated[i]], c='g');\n", " plt.plot([p[0] for p in hcos_interpolated[i]], [p[1] for p in hcos_interpolated[i]], c='b');\n", " plt.plot([p[0] for p in exp_interpolated[i]], [p[1] for p in exp_interpolated[i]], c='r');" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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J4ZMoIydDbf1268YleEWkZ6dTpfmVeEuODx8SmZgQJSfz0pxcL1Nfkqm/Kd19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\nX7u5ucHNzU2J0IVz/PFxxKfEw7uFt9C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U+pEjk1IRT78/FGHFyig1ZIoUYU67uTmnrpaWTNk1M2PmTIECnLUWLMiO4+aG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lHDTffQds2sR2dtEUAwB9+rAT9ZdfAEND1tAdHJDQuhmmtbHQLPfwYR5M1q3L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6X2goC+jBg4HEDH0hMZHjCN3dNbNDBYHt5hIJsGWL6vi5c6x8/PYbIJNh6oRU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\nYMx2dDqEQlxcVMN76BCMmva6h4fDmz11KuuXnDmD65RdjrqiwEDXq2e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2PuPiRWYnJwcx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mzeLvQV3Jufb/WUpsSiNdjbxKZyuY0FzbzaoO5eskJxO1aUPUuTMFPgqgSksr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\nf179E/VM6qHq2n14M2ASfE4Ux8iRqo6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9SCzzrl0Tb/DTpilWwKUyKU05NYWqrKySPNxOLhcTDipWJLpwQTUB5xa5nKh0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\n40Eyxhj7Mekmd5lMhrFjx8LLywtBQUFwdXVFcHC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NNLOCe1xyHH31z89U2uQRDf/rsnqGYM6fF0X8bGzE8FS2Kauc3HXImUdnqNaS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\nrAAZY4x9uCI9xOTn54exY8dCKpVi6NChmDRpEnx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3XLpUDMTv2QNoK39Wh1x8U8CjUSPxlnLr40dg/nwxQWjDBmD6dODxYzGkn28W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\njYnl0seP4p5ISEiWTbweeVG1VdVSS+J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jmKkVPVgV2jHRfWZU4zkLuPJItiAnh7GWLRnbuVOQuDRCLGZs+3bGrK0ZGzGC\nsfh4oSN6JxKJlH23+Sqr1iiKVWsUzRZsvlLq3xMldwFJJFJm5hDBpq9+q9V+6xbv0shX/bhXjZJK\nGWvenLFgPvpHIpGyKtb32Zq9YQIHZrhevMpmVazvs7GLFSzX+803jA0erFPdFuWWmcnY99/zUV0L\nFvCx8TpEIpGyeZuusKq2d1n1xpFs0RYFo50YPVAV1Oo9YcjPqo41MzsWHXyz+qOpqXCBqUKxTTyM\njY0wcMQTbNisg6vk6QnPkaGo1+Q5tn1fbJPrc+eAP/7gDyG1fRaqKpiZ8SUVwsOBx4+BZs34+k1i\nLRhjrgRjYyOs+KojMuOcMHXWK6xeVhsWDlFYtu2aatZyquinj7I0eCmNkkikzNwxnE1dcanoYGoq\nH/747JlwgalSTAwfUvffw7m45JfMqGo6u/NIT/59OmTRlqusUu1EFpf8UrbgxQv+8P70aWEC0wbX\nrzPWsydjbm46eR8KxBI2c81lVqVBDDOzj2DLd15nEomUumWEsmr3DVa53kPZvvaVK/nEJX3SoQNj\nAQGFvzr1CWLeUy4IF48Bunk/hRmbPWW/HAmXLZBK+XIRX38tTGDaRCpl7M8/+cStfv0KR3rpkrx8\nMZu++jKrXO8hM3cMp+QuBIlEyiycbrEpy99qtRcUMNaoEX8QqU/Wr2fsiy8Kf/3txG1mUjfunYZ0\nkfIrEEuYpet11nP0BfnC3bsZc3VlLDtb43Fprbw8/p61smJs8mS+l4KOycsXsynLL1FyF8Lq3TeY\nab1Hsq32o0f5+GJ9k5zMu5pev2aM8Q+2qjZ32erdevYhpqU+mHaBmTuGs5y8YuPWY2P5sMdbtNet\nQi9eMDZrFl/GYMUKPppIx5Q3d9ID1XKSShl+/LESxs1IQmXTt7bM27SJL9Skbxo0ANq3B/7+GwB/\nGPTRyBRs3Kz9MwZ13d6AaJza5Qr/o5aoWtmkqEAiAUaNAnx8AA8P4QLUZpaWwP/+x9eGDw3lm5Qc\nOKAVG4GoXVnZ39/fnzVv3pw5OjqylStXypVfuHCBWVhYsFatWrFWrVqxH374QaWfPtpq7b4wZmr1\nSLYlFR7Ox97q+vDHkuzcydhHHxX+Gp/CH6zefkgPVtUl+UUmM7V6JDs57o3ly/mWdBLqGlNaYCBj\nbdsy1rEjY5cV3FMtVN7cWeqrxGIxc3BwYLGxsSw/P595eHiwqKgomToXLlxgAwcOVFuA2qpm85ts\nwg8XZQ/lzXbrAAAgAElEQVROmMDYsmXCBKQJL18yZmHBWFpa4SGnPkHMa9IF4WLSc059gphTHwXj\n2a9f5/3J/63aSd6BRMKfU9ja8gfRWj6Tt7y5s9RumdDQUDg6OsLOzg6mpqYYNmwYTpw4oaj1r5Zv\nFdpq/cFbyE6rhY1zOxUdTEsDDh8GJk4ULjB1q1kT6NsXOHKk8ND8mZY4d6SpZhdEMhCz1gYjLsIW\nQYdayxZkZ/O5Bxs3Ao0aCROcLjM25t1Z9+7xndHatwfmzgVevhQ6MpUqNbknJSWh0VtvHltbWyQl\nJcnUMTIyQnBwMDw8PNC/f39ERUWpJ1ItsnQpwxdfPZbt/9y+HRg4kO9Rqc/emtAEAKP7t4Bp9Rys\n2XtTwKD0z+WIx9iw2Anbfs9BA0sz2cI5c4B27YBhw4QJTl9Urw589x1w5w5vnDk7A7/8wvc71gOl\nJncjJWa5tWnTBomJiQgPD8f06dMxaNAglQWnjTYdCkdWqiV8573VapdI+JtCFza/rihv76IZgfjv\nwerwZ/D9VXs3CtY1uflieA9Og/foSHzh3UK28NQp4J9/tH6HIp3SsCFfmvv0aeD4cd6a/+cfnX/o\nalJaoY2NDRITEwt/T0xMhK2trUwdc3Pzwv/29vbG1KlTkZaWBktLS7nzLVmypPC/PT094enpWc6w\nhbN4qQSjpiWgauUmRQdPnuRvkPbthQtMU6pWBT7+mE9z//ZbAMDPs1uh8UYpIh4+g7tDPYED1H3e\nky7BpLIFTmzsIVvw7Bnw5Zd8tEetWsIEp888PIAzZ/gH6OzZfIPutWs1PhJJJBJBJBJV/ESldcgX\nFBQwe3t7Fhsby/Ly8hQ+UE1JSWHS/xYpunr1KmvSpIlKHwpok02HbjGTOvHym+D27s3Yvn3CBCWE\ns2cZa91a5lDzvoHs/YkXhIlHj2w+Es6MzZ6yG/eSZQukUsY+/JAxHx9hAjM0+fmM/fILX3Zj/HjG\nnjwRLJTy5s4yX3Xq1CnWrFkz5uDgwJYvX84YY2zLli1sy5YtjDHGfH19maurK/Pw8GCdO3dmISEh\nKg1Qm9RucYONXlRs5MKdO4w1bMhnxBkKsZj/m9/6oP/9VCQzqRNPM1YrIC75JatUO5F9t1nBOuVb\ntzLWqpVhvc+0QXo6Y3Pm8ElQy5YVTuLTpPLmTqP/Xqx2RkZGOj2q5tejEZgxsTZeJTVA9apvrfQ4\neTLvklm8WLjghPDNN3xVvmXLAPBJXWZ2d7Fw6WssHNtO4OB0j1TKYNc9BLUsCxBxsqdsYUwM0KUL\nEBgItGih+AREvWJjgXnzgOBgYPlyPrDAWDNzQMubOym5K6lOyxsYMCgbv//Qvehgejpgbw9ER/MZ\nnIbk+nU+WiMmpnB52ZELgiA6VxlJVzuV8WJS3JfLLmGvX308ibaFpUW1ooKCAqBbNz5076uvhAuQ\ncMHBvGEjFvP++J49y35NBZU3d9LyA0rwO34br5Lq45cFHWULdu4EPvjA8BI7ALRty1su164VHvr5\nm9ZIjnDGrZinAgame86ExmHHamcc2A/ZxA4AP/7Ip9BPmyZMcERWly58KYPZs4HRo4FPPuENHC1E\nyV0JCxfnYcTURzCrVrnooETCh6MZwvBHRd5s4rFvX+Eh67rmaN4jAnNWRwsYmG7JysnHoE+zMWRK\nJD7u6SRbGBLCN97YudMwNt/QFUZG/FtrdDTQoQPQuTMwaxYfK69FKLmXYeuft/HycQNsXlisq+HU\nKcDKCujYUfELDcHw4XxI5Fs73yycZYULRx2RXyARMDDd0WdMMMzrZuLgqmLDHjMzgc8/B7ZsMcxv\nhrqgWjXeDx8VBeTm8klQGzYA+dox54OSexkWfJ+HzyYXa7UDfOq3obba32jWjE9/v3Ch8NDn/VxQ\nxTwDq/fQjNWyrN4ThuunmyPwuCOMjYu1zGfOBHr3BvR8UqBeqFcP+PVX/ncQEAC4ugJ//in4JChK\n7qXYfvIOXiY2hN+iYq326Gjg9m3g00+FCUybjBghsxwBAAwelYrNW3RjH0uhRMelYv70hlixKRnN\nG9eRLTx2DAgK4pNoiO5wdQX8/Xl37XffAb16AWFhgoVDo2VKUa/VNbznnYP9K4p9ZZ42Dahbl2/O\na+iSk/nwvCdP+NdUAE9SM2HbWIzrt/LQphl1KRQnlTJYtw9FY4cchB7ylC188gRo04a3/DrRqCOd\nJRYDO3bwIdLvvw/89BNQbHa/smi0jIrt/DsSafHW2PJdsT71V6/49O9Jk4QJTNs0bMhHzvzzT+Eh\n67rmcO55G3NW3RUwMO01Yn4QMlPNcf73LrIFUikwdiwwZQoldl1nYsJXiL1/nyd1Dw+e6LOyNBYC\nJfcS+CzKxpCJD2BRo4pswc6dgJcXYG0tTGDaSEHXzKJZ9RB4nB6sFnc8MAaHfnHFsUPV5J/j+Pry\nxsPChcIER1TP3Jy32m/eBB4+BJo35y16iQb+LlQwO1YpGrxUhe36O5JVqpXEXmXlyhZIJIw5ODAW\nHCxMYNoqPZ1v4pGeLnO4ht0dtmRrqEBBaZ8Xr7JZFev7bOxiBZtv3LnD90KNidF8YERzrl5lrGtX\nxjw8+BpNSihv7qSWuwJzF2Xhky9j5Fvt/v58NT76yiyrVi2gTx/g6FGZw4M/T8MWP9rE4w3PkaGo\nZ/cc277vJluQl8fnDKxcCTg6ChMc0YwOHYCLF4FFi3i3zcCBwF31dF9Sci9mb0A0Uh81wtbFCsav\nv9n8miaUyCu2iQcArJrVGk+jmuH63WSBgtIei34NRdRlB1w86io/7HHRIqBpU2DcOGGCI5plZAQM\nHszHx3t6At2786UlUlNVehlK7sXMXpiBj8ffRy2zqrIF9+7xfrPPPhMmMG3Xvz8f9vXkSeGhBpZm\naNHrNuauvidgYMILu5+C5XPtsOm3NDRpUFO28MIFPsv3t9+o0WBoqlTheyJER/OlPFxcgDVr+Dc5\nFaDk/pZ9p6Px/EFjbFuqoNXu6wtMmMD/hxB51arxCTd//CFz+Ptv6iPouJPBPlgVS6To+0kSegyJ\nwpTB7rKF6el8fZLt2/nQWmKY6tblkyIvXuTzG1xc+H7MFRw6TuPc39Kw/VV06Z6Lo/8rttJbRgZg\nZ8cnLtnYCBKbTjhzBliwQGYxMQAws7+Db3yysWxSB4ECE84H00S4+K8lnkW2kN1zF+CjjOrU4d19\nhLxx/jxv0VevDvzvfzDq1InGuVfEgX/v4tn9xvhtiYIEtGsX0LcvJfay9O7N91a9f1/m8Kej0rF1\nq3Z/sKvDbv8o+P/uCv+jlvKJff9+4NYtYNUqYYIj2qt3b76k9pdf8lUny4la7v+x7nAFHbvk4fj6\nYq12qZQvCLRzJ9C1qzDB6ZKZM/nombf2y32W/hoNbPIRci0HHV0NY35ASloWGjs/xzSfZKz7tthk\npfh4vt9uQACfjUpISV6/hpGZGW3WUV6Hzt3D8I9r4fljC/n1tP39+aSSGzfogZcyQkP5aob37snc\nr5YDAlGnLoNol6dwsWlQs/cuAgDun+0uWyCR8GGj3t6Aj48AkRFdQ8sPVMCsBekYODZaPrEDvD90\n+nRK7Mpq355/27lxQ+bw4m8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lcnAQTmBhvH5NpKdHN65JSb9hLA34d4DQijhKQiwVUwvPFrTz7k66fJlIX58o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\n1M3Mokxsjd+K3b67AUiwcCHwj39UL3H700/A/v3Ap58a7jU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tovfvsx6TSCQ0wGcAufq6Zl0PffNm7qmrpm3UuHgxXbH5k4b8+YqabGvCdzSM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\n1apFJiYmZGJiQmXLliUDAwPy8/PLtd9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S21+1kH2FKg2W3OVYWho3usDfH7h+Q4gDHyaheswrrDrwEkonTnB/EOJYWEC9uip0P0Th\n2TPWNcPwy9ub25RDRQVYf3U9fun8C1SU/9tKIjERWLOGa7UXtTmQqiq32lghrfcFXRfg6P2jeJ3+\nGrVrAyNGAIcPiy1aabDkLqeePAE6dgS0tYHQCyL8eXsK0t68xP59b6G0ciXQs+CGBrmUlFDVfjgc\n6+3Ebve4wssxjAx87ZKJSonC5VeXManNN8s3LlzIjWf/uh5BUcaPB2JiuGb5dxrWbogJFhOw7gr3\n/GnaNGDfPm4tm8qKJXc55OsL9OgBLFgA7PhHhNnnpiPuXSy8vKtCedAg7je3GEr29hgjCoeX3xcZ\nRMww4iUlAQ8eAP36ARuvbcRP7X9Craq1uJOXLwNhYcDixSW72dfWeyGzVhd2XQjXe65ITE+ElRVQ\npw5w4YJkvg9FxJK7HBEKuedGc+YAp08DEyeJMPPUTES9i8KZuy2golwF2LChZDfr0QMGn1OQdV8Z\nnz6xrhmGH35+wMCBwIecN/CI9MD/2v+POyEUcuvHbNgA1K5d8huOH8/NUhLTem9UpxGcWjth/dX1\nUFJiD1ZZcpcT798DgwdzM61v3gSsrAizA2fjQfIDBGeMQNXzocCJE1zHZUmoqkJlsC2Gqe/FPi82\nZY/hx9cumb9v/I2xLcdCq9Z/m6bu3g1oaHBPP0ujmL7337r9hkMRh5D0KQk//AAEBQEpKeX7HhQV\nS+5yICKC2+C3VStuyKOWFmHe2Xm4nXgbwY2XoPqKVdy+ZHXrluq+SnZ2GFctFK6elfS3m+HVx49c\nY6Vr73Tsvr0b8zvP506kpHDJedu2oh+iFsbJiRt+c/FigVM6dXTwQ6sfsP7qemhocANwjh4t17eh\nuCQ8mapQMqxKoRw5QqSpSeTuzr0WiUQ0P2g+We2xotTIu0Ta2kTBwUXfpDCpqZRdsxbVrRtFQqFI\nckEzTAkcOUJkZ0e06eomGukxMu/E9OlEc+aU7+YHDhD17i32VFxqHGms0aCkT0kUFkZkbk4kUuBf\n/7LmTpbceZKdTfTzz0TGxtyUaSIusS88t5Asd1nSuzex3G/l9u3lqkdkbUOjav9DHqFPyh80w5SC\nvT3R/oM5pL9Jn24m3OQO3rpF1LAh0YcP5bt5Tg6RkRFRWJjY0z+d+okWnFtAIhGRiQnR1avlq45P\nZc2drFuGB2/ecIvexcRw/estWwJEhCWhSxAUE4TgsUGoN2UWN9zxf/8rV11K9nZwUvfFP24vJRQ9\nwxTv82cgNBTINvKCSX0TWOlYceMSZ80CXFxK3cVYgIpKsX3v++7sQ0rGW0ydWjkfrLLkLmPXrgHt\n2wN9+nCTk77+ji//dzn8o/1x3uk86q9YD2RkAFu3lr/CoUPR9+MN3AqtU6Yd1BmmLIKCgE6dCDse\nrsTCLgu5g0eOcFOuJ0yQTCXjxgFxcdxwyu80Vm+MkS1GYuO1jZgwgXuwm5YmmWoVBUvuMkLEDRCw\nswN27uQaHMr//fRXXlwJj0gPhIwPgZbHaW6gu4cHNzKgvHR1odrcBO3j3uHq08flvx/DlIC3N9Cs\n2yMoKynD2sgaSE0Ffv+d24RDWUJpR0UFWLq00Nb7791+x57be1ClTgr69gXc3SVTraJgyV0GMjOB\nqVO53+srV/IvobHm8hocvX8UIeND0CDiKTdjz98fqF+/8BuWUhUHO4yrdwKbjz6U2D0ZpjBZWUBg\nIHBb7U8s7PLfAmHLl3Njfdu3l2xlP/zALSIjpvXepG4TOJo7YvO1zZWza0aiPf9FkGFVcuXlSyIr\nK6KRI4nS0/OfW39lPZlsM6GEtASiFy+IGjUiCgyUfBD379O7urqk3t5H8vdmmO8EBhJZdEijxpsb\nU7Ygm+jhQyItLaLkZOlUePgwUY8eYofExH6IpXpr61Fy+jvS1ye6e1c6IUhTWXMna7lLUWgotz7M\nqFHcR8JvJ+Jtub4Fu27tQuiEUOgoqXErKy1YwE3nk7SWLVGnTlU0fVgXD5MiJX9/hvmGtzdApl6Y\n12keVJVVgNmzgT//BLS0pFPh2LHcAmRiWu8GdQ3gYOqAbeGbMXkyt95MpSHhN5lCybAq3olERBs2\ncCO+QkIKnv/7xt/UdEtTevnxJbc1jb090ZQp0h2MO3curVb/labu2Cu9OphKLyeHqJ5mDmkssqT0\nrHSikyeJWreW/tZIrq5E3buL/RuKeR9D9dbWo3tPPlK9ekQZGdINRdLKmjtZy13CPn0CRo/mWuo3\nbnCjYr618+ZObLi6AaETQtFYvTHXonn3Dvjnn7LN1ispOzuMUj0Lv1MC6dXBVHqXLwPK6q/xU/9B\nqJ2jBPzyC7fhb0mXzSirMWO4McZiVgoz1DCEXXM7eL3ehA4dAC8v6YYiNyT8JlMoGVbFm+hoopYt\niSZNIvrypeD5Pbf2kP4mfYp5H8MdOHaMqGlT6fVFfisnh7LU6lPThkH0+O1j6dfHVEpTZnym6tZ/\n0Zv0N0R//EE0dqzsKj9yhKhbN7Gt92fvnlH9tfXpsNsn6tFDdiFJQllzZ7Et96CgIJiamsLExARr\n164VWyYsLAyWlpZo2bIlevXqJdl3HwVx6hS3v+msWcD+/QV3Czt49yBWXFyB0AmhMNQwBMLDgblz\nuWXzpNUX+S0VFagMGYQh7yNx8FKQ9OtjKh2RCDjpmYOh9jnQfpMO7NoFrF8vuwBGjwaSk7mHXd8x\nqmcE22a2eKq5CU+eANHRsguLN0VlfoFAQEZGRhQbG0vZ2dlkYWFBkZGR+cp8+PCBzM3NKS4ujoiI\n3r59K9F3H3knFBItW8bt7F7YFGfXCFfS3ahLUSlR3IG4OO4CPz+ZxUlERJ6edFOzJ+k5LZVtvUyl\ncOHyZ6rS4AlFp0QT2doSrV0r+yCKaL1Hp0RT/bX16ed5mbRggexDK6uy5s4iW+7h4eEwNjaGgYEB\nVFVVMXr0aPj5+eUr4+bmhuHDh0NPTw8AoKmpKa33Ibnz8SM3yCU0FLh1i9vA+ntuD9zw2/nfEOwU\njGb1m3EzT+3tuREEQ4fKNmAbG7T+dAdZt1sg+l1laLowsrRydyRMuj6AyfVormk8d67sgxgzhmu9\nh4QUOGVS3wSDTAYBlvtx+DC3L3dFVmRyT0hIgL6+fu5rPT09JHy36+zTp0/x/v179O7dG1ZWVjhy\n5Ih0IpUzDx9y8zGMjLjfo4YNC5Y58fAEfjn3C4KdgmGmZcZNU504ETA35yYryVrt2qBuPWAdkwn3\ne96yr5+psLIFOfj3TH0snmDA7TazbRtQtarsA6lShRuk4OzM/b19Z0mPJXB7swwmzQQ4dUr24clS\nkY+wlUoweiMnJwd37txBSEgIMjIy0LlzZ3Tq1AkmYvZEdP5mmnCvXr0Utn/+xAmub33zZm55C3G8\nIr0wJ2gOzjmdQ4sGLbiDf/3FrYVx4YJ0R8YUodpIO4y96Y85p+rjzz7Fl2eYktjkdw5VqC3GPTzH\nbUxgY8NfMKNHc39r588D/fvnO9WsfjPYGNkgs8dp7N1rh2HDeIqxCGFhYQgTM2a/1Irqs7l27RrZ\n2NjkvnZxcaE1a9bkK7NmzRpatmxZ7uspU6aQh4eHxPqN5ElODtEvv3ADXIqa6eb72Je012vT3cRv\nCp08SdS4MVFiovQDLUpiImVUr0vq3bbRs3fP+I2FqRCyBdmkPXgHTRlxiah+faLnz/kOiRuJ1qWL\n2L73yORIqr9SnzTqiejlSx5iK6Wy5s4iu2WsrKzw9OlTvHjxAtnZ2Thx4gSGftdPbGdnh8uXL0Mo\nFCIjIwM3btyAubl5+d915Mzbt4C1Ndcdc+sW0KaN+HKnok9h+qnpOD32NNo0/K/QnTvATz9xC4KJ\n67+RpYYNITQ2Rd8oTXhEevAbC1MhzD87HxkPBsAlZRv3kbZpU75D4qaFv38PBAcXOGWmZYb+pl3R\nvOcdHDjAQ2yyUlz2DwwMpGbNmpGRkRG5uLgQEdGuXbto165duWXWr19P5ubm1LJlS9q6datE333k\nQXg41+hevJhIICi8XGB0IGmt06Ib8TfyDr5+TaSvT+TpKf1AS0jospr2VvuRWq4awncojILbe3sv\nNf2zPw3TCCaRgYF8Tf90cyPq3Fls6/1R8iPSmNub9PSFRf5Ny4Oy5k42iakY+/Zx2+B5exdd7uyz\ns6S1TouuxV3LO/jlC1HHjkQrVkg3yNKKjKSUmnpUe+jCvAlVDFNKl15eIq11WvTbknhK0GhR/B+J\nrAkERGZmREFBYk+P9BhJeqav6cwZGcdVSmXNnWz5gUJkZQEzZgAbNgCXLgEODoWXDXkegnHe4+Az\nyged9DpxB4m4dX4NDLgdY+SJqSmqqtdAj+i28IqsLHOxGUl6lfoKIz1G4rD9YTQ84oGqhrrcEF95\nUszImaU9liLVfBN27q6YS3Kw5C5GQgLQqxc3XPbGDcDUtPCyYS/CMMZrDDxHeqJr4655J9auBaKi\ngIMHeRsZUyglJagOt0O3mAdwv+vPdzSMgsnIyYC9uz3mdZqHNp/bYtyrVVA/uFX+fs8BYMQIbqOQ\nc+cKnGrZoCX6DE3CufMCJCXxEJuUseT+nYsXufHrQ4dyCwypqRVe9tLLSxjpMRInR5xEjyY98k74\n+XGLJfn6AjVqSD/oMqg+yg4jqgbg2R19vPzI9ldlSoaIMNlvMlo0aIFfO81H1rgpuG4+BaqtimgB\n8alKFWDZMu5LTOv9rwELADMf7D1Q8WY0seT+HyJu3sWIEcChQ9yOYEU1RK7GXcXwk8PhNtwNvQx6\n5Z24f5/rjvHxAXR1pR122XXujEZIRIfntvCM9OQ7GkZBrL68GjEfYrDHdg+Uli1Danw6RMv/4jus\nojk6AunpwNmzBU610m6FjkMeYOvOz+Jyv2KTbNd/4WRYVal9/kz0ww9EbdqUbIju9bjrpLVOi4Ke\nfvegJimJyMCA6Phx6QQqYe/tJ9Ef6uupw56OfIfCKAD/J/6ks1GH4lPjiTw8KEe3MRnWTpKrATKF\nOnGCqEMHsSNn7r6OIBXtJ3Q2RMxSrnKgrLmz0rfcnz8HunThWulXrhQ/RPdmwk0MOT4Eh+wPwcb4\nm1l4WVnAsGHclNXRo6UbtITUnWCHQZmBiHpcBa9SX/EdDiPHIt9GYrL/ZHiN9ILuy/egmTMxo4EP\nxs1vIK89j/k5OgKfPwNBBVdEbdPIAqbWV7B4fSwPgUmRhN9kCiXDqkrszBmiBg2Itm0r2SZIt1/f\npgbrG5D/E//8J0QibhF3BwdumUhF8fkzZajWoT6jDtCmq5v4joaRU+8y3pHRViM6ePcg0bt3RIaG\ndLD/MRo8WLF+3enkSaL27cX+sYc8uEdK1T9SQpL8fQwpa+6slMldKCRatYpIR4fo4sWSXXM38S5p\nr9cm70gxY3k3biSysCD69EmygcpAYsehtMjwH+qyvwvfoTByKEeYQ/1c+9HcM3O59Tf696cHA36l\nZs2IPnzgO7pSEgqJWrQgOn1a7Gmdzhdp+C8XZBtTCZQ1d1a6bpm0NGD4cCAggNsvo3v34q95kPQA\nA48NxPZB2+Fg9t2A98BAbjC8vz9Qq5Z0gpYijQl26PAqFJFxrxGfFs93OIycWXBuAZSghPXW64FF\ni5CaCvS/tRq+vkDdunxHV0rKytyomULGvf/xszb83BrgS06m7GOTBgm/yRRKhlUVKjKSqHlzohkz\niDIzS3bNo+RH1GhDI3J/4C7m5CMiLa3Cd+lQBElJlK6iTv3mbqat18UvHcFUTgfvHiTjbcb0LuMd\n0dGjlNPEkFrqvCNfX74jKwehkNsL89QpsadqaiXSgkMneAiscGXNnZUmuXt5ccsI7N9f8msev31M\nOht16Oi9owVPpqQQGRoSHT4suSB5kmDYlRZ1PkzdDnTjOxRGTlx9dZW01mlRZHIk0a1bJNLUpPGW\n9+nPP/mOTAI8PIisrMT2vc9YGEc1Ox2hzJwStv5kgCX3QggERIsWcQt/3bxZ8uuiUqJId6MuHbp7\nqODJrCyiXr2IFi6UXKA8erdoHR2qPp3qutSjhLQEvsNheBafGk86G3UoICqAG97buDHtsfGkIUMU\n7AFqYYRColatiAICCpxKSCBSqZlGm8L28BCYeGXNnRW6z/3dO2DgQK5v/dYtwMqqZNc9e/8MfV37\nYkXvFZhC5bPQAAAgAElEQVTQZkL+k0TcFnm1awMuLpIPmgf1JtlhoCAAXZT+B+/HbIemyuxLzhfY\nn7DHrPazYNvUBhgxAhGtx2Pji+E4coTrtlZ4RfS96+gAnboI8NfOKGQJsviJT0Iqwn+VWHfvcsnc\nwoKbmKalVbLrnn94jr6ufbG0x1JMtpxcsMCOHcDVq4CbGze1uSJo1gykpg7L263YGu+VGBFhWsA0\nGNczxqJui4B58/BBqAab68vh6wuoq/MdoQQ5OAA5ORC3196C2Rqg25NxKOKQ7OOSJMl+gCicDKsi\nV1euf/1EKZ+LvPjwgppsbkL/hP8jvsC5c0QNG8rHTjMS9mL0b7S/4e9Ud01dSkznebcohhfrLq+j\ntrvb0ufsz0T79lGOUXMy0/lIfn58RyYlXl5EbdsW6HvPySHSbJBFjRb2oyxBFk/B5Slr7qxQyT0r\ni2jWLCJjY6IHD0p37auPr8hwqyFtu75NfIEnT7gZT//+W/5A5VD2v1fpkXILGrZ/Ju0I38F3OIyM\nBUYHUqMNjejVx1dE166RSEuLRls+IWdnviOTIqGQm58i5t1r8WKixjZetOcW/33vlT65v35N1K0b\nka1t6SdXxKfGk/E248Jnab5/T9SsGbdzR0UlFNL76g1p+S8+1PtQb76jYWToydsnpLVOiy6/vMw9\nUdTVpe0DA8jOroI8QC2KtzeRpWWB1ntMDFHdetnUZEMzyhZk8xQcp6y5s0L0uV+9yi3T278/t9pu\naSZXJKYnoo9rH0xvOx3zOs8rWEAgAEaOBAYNAqZMkVzQ8kZZGckdhqDxuae4k3gHyZ+T+Y6IkYGP\nmR8x1H0oXPq6oKu2FTB8OG61n4ntsbZwda0gD1CLYmcHiETcrMZvGBoC7SxVUTvGCa73XHkKrpwk\n/CZTKGlUJRIR7djBzSMSMyehWInpiWS63ZRcLroUXmj2bCIbG64jroJ7f+QUXanSnUa6/0C7bu4q\n/gJGoQmEAhpwdADNOj2L+2OaMoVSeg8nLU0RPXnCd3Qy5OMjtvV+/DhRu67vqemWpry23suaOxX2\nffnLF2DyZGDnTq7lPnhw6a5P/pyMvq59MbblWPze/XfxhXbv5nZPP3ECUFEpf9ByTsOxL1rTPbRP\nGclGzVQCi84vQpYgC5tsNgE7dyLnyg10fnIIBw4qoXlzvqOTITs7bkikf/5dyRwcgJdRGtDO7oyj\n94/yFFzZKWRyf/mSWxPmyxfg2jXA2Lh016dkpKCfaz84mjliac+l4gtduMDtv+jvX8HGgBWhenW8\nbNYPOgFvcfP1Tbz9/JbviBgpOXLvCLwee8FjhAdUr1wDLV+OsTV84TSzNmxt+Y5OxpSUuDHv3417\nr1aNW8Hb+IULVl1aBYFIsfZaVbjkfv480LEjMHYscPw4N5eoNN5/eY9+rv1g28wWzr2cxReKiQHG\njOEqMDEpd8yKpPpIO2hfPYUBxgPg+8SX73AYKQhPCMf8c/PhN9oP9VM+A6NGYavVUQiaGOGPP/iO\njidDh3JJ3s8v3+GpU4EQnybQrdUEx+4f4ym4MpJw91ChyluVSES0di03zDw0tGz3eJ/xntrubksL\nzi0gUWELuKemEpmZEf1TyFj3Ck6QlEKpSmq0+5Q39Xftz3c4jIS9TntNepv0uKWrMzKI2ralq44b\nyMyMKC2N7+h45ufHDY38bohQ585Ef+25R8bbjClHKPtnb2XNnQrRck9P5waseHpySwn07l36e3zM\n/Ajro9bo2aQn1vZbCyVxG6QKhVyLvXdvYObM8geugKo0qI+EBpbQ9iPcSLiBdxnv+A6JkZBMQSYc\nTjhgWttpcDC1B6ZNw9v6prALmw9fX6BOHb4j5NmQIdzwIDGt9/CAVmhUuxGOPzjOU3ClJ/fJPToa\n6NSJ6/a+eBHQ1y/9PdKy0jDg6AB01uuMjdYbxSd2APjtN267vC1byhe0gsu0tkP1oEBYG1mzrpkK\ngogw49QM6KvrY0mPJcDmzci+F4nOD/fi4CElNGvGd4Ry4Gvf+/Ll3PDI/4wcCVy6pIT/NXfByksr\nIRQJ+YuxFOQ6ufv7A926AXPmAHv3AtWrl/4e6VnpGHhsINo2aoutA7YWntgPHuTesU+eBFRVyxe4\ngjOcZwfL+ADYNXaE52NPvsNhJGDL9S2IeBOBQ3aHoHw+BLR+PUaq+mLS/2qWeqRZhTZkCLdmlG9e\no6Z2bS7BPw3tCs2amjjx6ASPAZaCZHuHCleaqoRCoj//JNLTI7p2rex1fsr6RN0PdKdp/tNIKCpi\nqt3ly9xg+cePy15ZBRNTsyVdWBNKaqvVuM0aGIV19tlZarihIb348IIoJoZEDRrQusFhNGxYyfYO\nrnT8/Ylat87X937zJlHTpkRnos+S6XZTEggFMgunrGla7lruHz5wb55hYdwyvZ06le0+GTkZsD1u\nC+N6xthluwvKSoV8qy9ecDuju7oCpqZlDbvCSexoh5wTQejbtC/8o/yLv4CRS0/fPYWTjxNOOJ5A\nE5X6gL09Lvf+E4die+LQIa4ngvmOrS336d3HJ/dQu3aAmhpQ5UV/1K1eVzHmgRSX/c+cOUPNmzcn\nY2NjWrNmTYHzFy5cIDU1NWrTpg21adOG/vrrrzK/+9y7R2RkRDR3LlF2OSaEZWRnUN/DfWm8z/ii\n32HT07lF+zdvLntlFdRTt3B6ptKcjt1zo0HHBvEdDlMGqZmpZLbdjHbe3Mk10R0d6c3gyaSlKaLo\naL6jk3MBAVxu+Kb1/vffRKNGEZ15eobMd5gX3RsgQSXJnWKvK+qkQCAgIyMjio2NpezsbLKwsKDI\nyMh8ZS5cuEBDhgwpd4BubtwyvUfF7GhXGl9yvpD1EWsa6zW26MQuFBLZ2RFNnco+m4ohEggpsYoO\n3fe9Q3Vc6tCHL4q21X3lJhAKyNbNlmYEzOAOrFpFWZYdyaBRJgUG8hubQhCJuK34PDxyD71/T6Su\nTpScLKIOezvQiYey2Wu1rMm9yG6Z8PBwGBsbw8DAAKqqqhg9ejT8vhsm9F/rv8yfHHJygPnzgT/+\n4Gb6//BDmW+FLEEWhp0YBo3qGjhsfxhVlIvYTGPJEuD9e27zDfbZtAClKsqIaj4U7/cEo0/TPqxr\nRsEsvbAUaVlp2DpwK3D6NOiffzAM3pg+uxoGDuQ7OgUgZuSMhgbXZXz0qBKW9VyGFf+ugIhERd+H\nR0Um94SEBOh/M/ZQT08PCQkJ+cooKSnh6tWrsLCwwKBBgxAZGVniypOTuZUcIyO5/vU2bUoZ/Tey\nhdlw9HBEraq1cHTYUagoF7EWzLFjgLs74OUFVK1a9koruGoj7FD/sh9GmI9QjD5GBgDg/tAdxx8e\nh+cIT1R9FguaNAmrLT1Qw0gHixbxHZ0CGTQIqFGDyxP/mTYN2LcPGGA0EDVUa8j1tpRFroZV6LDB\nb7Rt2xZxcXGoWbMmzpw5A3t7e0RHR4st6+zsnPtvbe1eWL26F8aP594cy7NjXY4wB6M8R0FFWQVu\nw9yKTuw3bgDz5gGhoSXfe6+SavVzb+QsH426yh0w88VMpGamQr16JVlnR0HdSbyD2Wdm47zTeWgJ\nqgJ2dgjr74Lj9zvj2jX2IbVUvrbeFy4Ehg8HlJXRvTvX23D9Otd6XxyyGMPMhhU+YKMMwsLCEBYW\nVv4bFdVnc+3aNbKxscl97eLiIvah6rcMDAzo3buCQ+e+rWrvXm7koY9PKTuRxMgWZNPwE8NpiNuQ\n4rfEevWKSEeHG+rElMi/2iPo1sx9NMRtCB25d4TvcJgivEl/Q403NyaPRx7cM6UhQyjB/idq0IDo\n2TO+o1NQIhFRhw5EJ0/mHlq7lmjSJCKRSETtdrcjr0gvqYZQTJou/LqiTubk5JChoSHFxsZSVlaW\n2Aeqb968yV2n5caNG9SkSZNCA8zMJJo2jcjUVDJDynOEOTTKYxQNOjaIMnMyiy786RO3ZvPateWv\nuBIJcjpKd/SH0OGIw2R33I7vcJhCZOZkUpf9XWhp6FLuwNKllNmhOzVumEVnzvAbm8ILDCRq0SJ3\n5MybN9yD1dRUIr8nfmSx00KqI2ekktyJiAIDA6lZs2ZkZGRELi7cpha7du2iXbu4zRy2b99OLVq0\nIAsLC+rcuTNdK2TWEQDq0IFo2DDJLFAkEAporNdYsj5iTV9yvhRdWCgkcnQkGj+ejYwppee331Oa\nUh16lxxPdVzqUGpmKt8hMd8RiUQ0xW8K2bvbc0nGy4tE+o3Juk0SFfNBmykJkYioY0eiE3mjY4YN\nI9q1i/vZW+6yJJ/HEuiGKITUkrukAKDVqyWTWwVCATl5O1Hfw30pIzuj+AuWLeOWdvtSzJsAI9bV\nmn3o6QYfGnRsEB27f4zvcJjvbLu+jVrsaEFpmWlEDx6QSFOTnIfcopEjWVtGYs6cITI3JxIIcl9a\nWXGnfB77kOUuy8JXmi2nsiZ3mc5QXbSo/A90RCTCtIBpiEuLg/8Yf9RQrVH0BSdPcuvG+PiUbXEa\nBm862OHTUW7UjGckW2tGnoQ8D8HKSyvhP8YfdT7nAPb2OD9oM7xetMOBA+wBqsTY2HDLZnpyv//9\n+3Oj/SIiALvmdhCRCAHRAcXcRMYk/CZTKElUJRQJaZr/NOp+oDt9yvpU/AW3bnEzo+7eLXfdldnl\nYy/ovYomvUtPJrXVapSelc53SAwRxbyPoQbrG1DI8xBuj19ra4obOZ8aNCCKieE7ugooKIjb6+G/\n1ruzM9H//sed8or0ona720ml9V7W3Cl3a8sUhogwK3AWHr19hNNjT6NW1VpFX5CYCNjbc/uglmcA\nPYP2jk0QJ9KF8oUn6KLfBaejT/MdUqWXnpWOoceHYkn3JejTtA+weDEyM0TofHEtjhwBDA35jrAC\nsrbm1h734OZ8TJrEbdb25Qtgb2qPbGE2Ap8G8hxkHoVI7kSEOUFzcCfxDs78cAZ1qhWzq8CXL9ym\ntz/+CAwbJpsgK7CqVYHHzeyR8I8vm9AkB0QkgpOPEzrrdcasDrMANzeIPDxh+8kdP89XgbU13xFW\nUEpK3KSc5csBoRCNGwMdOnA9NcpKyljaYymW/7u8XDP2JUnukzsRYf7Z+bgefx1nx52FWjW14i7g\ntk4xMkLl3RBS8qqN5Gar2jUbiuDnwfic/ZnvkCot5zBnpGSkYMfgHVC6exc0Zw7+bOULLdP6+PVX\nvqOr4Pr359YhOHkSQN6MVQAYbj4cGTkZCHoWxGOA35Bg11CRylKVSCSiX8/+Sm13t6X3Ge9LdtGq\nVdxj7IwSjKJhSiwhXkSvlBtTTsRDsj5iTScfniz+IkbiTj48SY03N6Y36W+IkpOJmjSh05M8qHVr\nbioHIwNnz3KTdQQCysoi0tYmioriTrk/cKeOeztKtO+9rGlablvuRITFIYtxPvY8gp2CoVFDo/iL\nfHyAnTu5HZVqFDOKhikVHV0lXKk3FPE7/OBoxnZo4kPEmwj8FPgTfEb5QLtaPWDECLzs9gMmBzrC\n1xeoVcxjKEZC+vcH6tUDTpxA1arAhAl5rXdHc0ekZaXhXMw5fmME5LflvjR0KbX6pxW9/fy2ZBdE\nRHAjY27eLEN0TEkcGBtMLxt1oLef35LaajX6nP2Z75AqjeRPydRkcxNyf+DOHZg9mzJ6DyIdbQEF\nB/MbW6V07hxR8+ZEAgFFRRE1aECU9d/qJ2733ajzvs4Sa72XNU3LZct9xb8r4PXYC+fHn4dmTc3i\nL0hK4h6gbt8OWFlJP8BKymxGT6gnP4Xmx2y012mPM0/P8B1SpfB1xdOxrcZiVMtRwMGDEAWdxYB3\nxzDv1yro14/vCCuhfv0ATU3A3R3NmnGbuAX8N8x9ZIuR+JD5Aeefn+c1RLlL7i6XXHD84XGEjg9F\ng1oNir8gK4sbETN+PDBqlPQDrMTad1HFeZUBeH84gJvQxLpmZGLOmTlQq6aGlX1WAjdugH77DYvN\nfKHboi5++YXv6CqprytGrlgBCIX5HqxWUa6CJd2X8D5yRq6S+7or63D43mGEjg+Fdm3t4i8gAmbM\nABo14n7QjFRVqQK8trLDp2N+cDBzwJmnZ/Al5wvfYVVou27twr8v/8WxYceg/CYJcHREgN1+nH1l\nhn372AxUXvXtCzRoABw/juHDgfBw4NUr7tTolqPxNuMtQmND+YtPIp1CJVBcVRuvbiTjbcYUnxpf\n8puuX0/Upg0bJiBDJ/el0meVOkRpadT7UG+pLphU2YXFhlGD9Q0oOiWaKDOTqHNnipm0grS1iWJj\n+Y6OISKi8+eJmjUjysmhWbO4Zay+co1wpe4Hupe7772saVouWu7bbmzDjps7EDo+FLpquiW76PRp\nYPNmwN+fDROQob4OarhGnZEdcJZNaJKiFx9fYLTXaBxxOAKTesbArFnIUGuIrqf/wLFjgIEB3xEy\nAIA+fbjWu7s7pk4FDhwAhELu1JhWY5D4KRFhL8L4ia1cbymlUFhVO8J3kMEWA3rx4UXJb/bwIbfb\nRyHLCzPStcFwByX0GUeJ6YlUd03d4pdcZkolPSudWu9sTZuubuIO/PMPCc1aUNfWabRxI7+xMWKE\nhBCZmBDl5JCVFeXbgPzQ3UPU82DPct2+rGma15b7ntt7sPbKWoSMD0GTuk1KdlFKCjB0KLBxI9Cp\nk3QDZMSq6jgU6lcD0bBafVhoW8jHmN4KQkQiTPSdCMuGlpjbaS5w6RLI2RkLTHxh0KoO5s3jO0Km\ngN69gYYNgePH8z1YBYAfWv+A+LR4/PviX9nHVa63lFL4vqr9d/aT3iY9evruaclvkpVF1LMn0W+/\nSTY4plQiIojuV21HopBQ+vvG3zTOexzfIVUYy8OWU8e9HblPQ69eETVqRF7Tg8jSkugzm1Ygv0JD\niYyNKfVdDtWty+3W9NWBOweoz+E+Zb51WdM0Ly33wxGH8eeFPxEyPgTG9YxLdhERMGsWoKYGrFol\n3QCZIrVuDQRVs8OHw34YZjYMp6JPIUuQxXdYCs/nsQ/23tkLn1E+qJ5DgIMDng2Zh//528DHB6hZ\nk+8ImUL16gXo6EDtlBuGDQMOH847Na71OMR+iMXlV5dlG1OZ305K6WtVR+4dIZ2NOvT4bSk3Ud26\nlahlS8ns0ceUm/Owe/SxngGRSETdDnSjgKgAvkNSaPff3CfNdZoUHh/ObZ80bhylDx1D2g1EFBrK\nd3RMiVy4QGRsTFcv5pCJSf5dsPbd3kf9XPuV6bZlTdMybbm7P3THwuCFCHYKhqmmackvPHcOWL2a\nGxlTp5jlfhmZaOPUChkZAB48YDs0lVNKRgrs3O2w2WYz2uu2B7Zsgej+Q/R/sQ+LfldC7958R8iU\nSK9egK4uOsUcg6oqcPFi3iknCyc8ffcUV+Ouyi6eMr0llAEA0l6vTfff3C/dhU+ecCNjLl6UTmBM\nmaSnE21XnUOZf6yg+NR40lijQVmCLL7DUjjZgmzqfag3LTi3gDsQHEyihg1p9tAXNG4c2wNV4Vy4\nQGRkRFs25NC47x5F7b61m6yPWJf6lmVN0zJtuZ8ddxattFuV/IIPH4AhQ7hWe/fu0guMKbXatYEX\nre2Q4e4HXTVdmGmZIeR5CN9hKZz5Z+ejukp1rO67GoiNBcaNw0n747gS3wR79rAZqAqnVy9AXx+T\nqx5FQACXwr6a2GYinqQ8wfX46zIJRabJ3aKhRckL5+QAI0cCtrbAlCnSC4opM/2x3aEaHwvEx7MJ\nTWWw784+BD8PhttwN1T5kgnY2yPK8Q/M9e0FHx+2arXCcnZGna0rMdhGgGPH8g5XrVIVv3f7Hcv/\nXS6TMORihqpY8+cDKirAunV8R8IUYuAQFQQpDwL5+WO42XD4RfkhR5jDd1gK4fKry1gcshh+o/1Q\nt5o6MGkS0k3aoqfHLBw/DjRuzHeETJn17Ak0bow/Gh/B3r3cQL+vJrWZhEfJjxCeEC71MOQzue/a\nBZw/D7i7cwmekUsmJsC/6nZIP+oHfXV9NKvfjN+FkhTEq9RXGOkxEoftD6O5ZnNgzRoIY1+iT9RO\nLP5DCb168R0hU27OzjDzXokvaTm4dSvvcDWValjUbZFMWu/yl9wvXACWLeMWR1ZX5zsaphg1HWxQ\n7e41IDUVjmaOrGumGBk5GbB3t8e8TvMw0GQgEBgI2r4dsxp5w7xtdcyezXeEjET06AElAwNssjyS\nb8YqAEyxnIL7SfdxM+GmVENQ+u9prNQpKSkVv7bxs2dAt26Amxu3IA8j94KDgVojB6HLzvF4OaAz\n2u1ph8RfEqFaRZXv0OQOEWGM1xioVlGFq70rlJ4+Bbp1w7ERvtgS3gUXL7J+9grl0iUIxk2ATloU\nnseponbtvFPbw7fjbMxZBIwJKPY2JcqdYshPyz01lVszxtmZJXYF0qMHcCLTHlkn/dCkbhMYahjy\ntwqenFtzeQ1iPsRgj+0eKKWnA/b2iPxhFRb4dIG3N0vsFU737lAxMcTSJq44eTL/qaltp+Ju4l3c\nfn1batXLR3IXCoExY7ikPmMG39EwpVCtGpDWcwhwNgjIzmYTmgoREBWA7Te3w3eUL2pUqQY4OSHN\nsid6u02Duzugr893hIxULFuGKYkrcXBP/oEG1VWqY2HXhfjr4l9Sq7rY5B4UFARTU1OYmJhg7dq1\nhZa7efMmVFRU4O3tXfooFi4EsrO59dkZhdNleCO8qtEc+PdfOJo7wueJDwQiAd9hyY3It5GY4j8F\nXiO9uP0Kli+H8O179Lq3FUuXcp9+mAqqe3dUb2mEDk9c8ehR/lPT2k7Dzdc3EfEmQjp1FzXDSSAQ\nkJGREcXGxlJ2djZZWFhQZGSk2HK9e/emwYMHk6enZ+lmWe3fz62F/P59qWZfMfIjLo5oRQ0XEs78\nHxERtdvdjkKeh/AclXx4l/GOjLcZ08G7B7kD3t4k0tenaUPf0MSJbAZqpXDpEr1XN6BfZhecwb35\n2mZycHco8vJi0nShimy5h4eHw9jYGAYGBlBVVcXo0aPh5+dXoNzff/8NR0dHaGlple6d5dIlYNEi\nbs0YDY3SXcvIDT094G5jO+R4+QNE3ISmR2zUjEAkwCjPUbA1scXENhOBR4+A6dPhaueNiERt7NzJ\nZqBWCt26oVpLYwgPuiLru8VTf2z3I67HX8f9pPsSr7bI5J6QkAD9bzoD9fT0kJCQUKCMn58fZs6c\nCYB7slsiL15wM1CPHgVMS7GIGCOXTB3MkJ5TDbh7F47mjvB+4g2hSMh3WLxacG4BlKCE9dbruXno\n9vZ4MHEjfveygrc3UL063xEyslJzrTN+E6yEn0d2vuM1VGvg1y6/YsW/KyReZ5EzhEqSqOfOnYs1\na9bkDtehIobsODs7c//IykKvEyfQ6/ffAWvrUgXMyKfBtko4vd8OE/z8YLR8OXTr6OLSq0voZdCL\n79B4cSjiEE49PYUbU29AhZSAMWPwsZst+rmOh6cn92mHqUS6dgVMmiF+1WFg3LR8p35s9yPWXVmH\nB0kP0Eq7FcLCwhAWFlb+Oovqs7l27RrZ2NjkvnZxcaE1a9bkK9O0aVMyMDAgAwMDql27NjVo0ID8\n/PwK7zcSComGDiWaNo11OFYgAgHRoDoXKcvcgoiIVl1cRT+d+onnqPhx9dVV0lqnRY+SH3EHFi6k\nnJ59yKJFDu3YwW9sDH+yLlyhl8pN6Flkwb73dZfX0YiTI8ReV0yaLlSRV+Xk5JChoSHFxsZSVlZW\noQ9Uv5o4cSJ5eXkVHeCiRdxWeVlsediKZuwoAWXU1iSKjaXolGhquKEhCYQCvsOSqfjUeNLZqJO3\necnx4yRq2pQmDXlLkyez9kxl97iJNfkM3F3g+KesT9RgfQN6mPSwwLmyJvci+9xVVFSwfft22NjY\nwNzcHKNGjYKZmRl2796N3bt3l/5jwtGjwMmTgKcnULVqWT5oMHJs0JAquKphC/j7w6S+CbRraeNK\n3BW+w5KZLzlfYH/CHrPaz4JtM1sgIgKYPRsHbH3wKEkTO3awB6iVXTUXZ1idWwVBRv6+91pVa2F+\np/kSHfcu2+UHtLS4tWNatJBFlYyMpaQAPzf2xdGOf0P5QghWXlyJ5M/J2DZwG9+hSR0RwcnHCUIS\nwm2YG5RSUoAOHXB39FrYuo5EeDigq8t3lIw8uK4xADXGOMDinx/zHf+U/QmGWw0RNjEM5lrmuccV\nY/mBAwdYYq/ANDWBN636QxR+E/jwASPMR8DrsRdEJOI7NKnbcHUDHqc8xv6h+6EkEACjRuGDzWgM\nODASJ0+yxM7kSfmfMxodcuEmbn6jdtXamNdpHlZeXCmRemSb3G1tZVodI3t9h9bCE+1eQGAgmms2\nR70a9XAt7hrfYUnVmadnsPn6ZviO8kVN1ZrAr79CoFIdPS+txPLl3EAJhvmq9++dcD/HHB82HShw\nblaHWTj//DyepDwpdz3ysbYMU2EMGgQc+2wH/DfZraLv0BSVEoUJvhPgMcID+ur6wKFDoDNnMLm6\nGzp2qYIffyz+HkzlUqsWcMvWGcprXPD9rKY61epgTsc5Emm9s+TOSFSbNsBp2EIYdA7IyoKjuSM8\nIz0rZNfMx8yPGOo+FC59XdC1cVcgPBxYuBB7Bvnh6du62L6dPUBlxOv3R0fczW4J0b6CrffZHWfj\nbMxZRL+LLlcdLLkzEqWkBHQYoo2k+i2ACxdgrmUO9erquBF/g+/QJEooEmKM1xhYG1pjatupwJs3\nwPDhuPXjXqzwMIOXF7diJsOI064dsE/PGdnLVxdovatVU8PPHX7GqkurylUHS+6MxA0eDJxWzeua\nqYg7NP0e8juyBFnYZLOJezA2fDjeOUzFoN128PAAdHT4jpCRZ0pKQOc5HRCp0grYv7/A+Z87/ozA\np4F49v5Z2euQ6VBI2VTF8Cw9HejZMAq31PtAOT4OD1MiMejYILyc+7Lkaw/JsaP3j+LPC3/i5rSb\nqF+zPvDjj8h5nQzLGC/8PFcZ06fzHSGjCD5+BIbphSNYfTiqPH9W4KPe8rDleJH6AofsDynAUEim\nUp2wluMAABRlSURBVKhTB6jXuTk+K9cBbt9GC60WqFW1lkx2fJe2mwk3Me/sPPiN9uMS++7doMuX\nMQGu6NqdJXam5OrWBfSGdcBL9dZiW+9zOs1BQFTx2/AVhiV3RioGDwau1Oe6ZpSUlOBo5qjwOzQl\npidi2Mlh2GO7B620WwGXLwN//ol/rP3w4l0dbKv4c7UYCZs6Ffg90xm0ejWQmZnvXN3qdXHE4UiZ\n782SOyMVgwYBO1/bgb4OiWzBDYlU1K65TEEmHE44YFrbaXAwcwDi44GRI3Hjp8NY7WHMHqAyZdK9\nOxCh2h4fGluIbb0PNBlY5nuz5M5IRbNmwGO1jhC8TgZiYtCqQStUrVIVt17f4ju0UiMizDg1A3pq\neljSYwnXwnJwwNuxczBkxwB4egKNGvEdJaOIlJS41vv2+s6AmNZ7ebDkzkiFkhIwYHAVPGo6JLdr\nRlE3z95yfQvuvrmLQ/aHoAwl7gFqYyP0OLUQLi5Ap058R8gosgkTgM2XrJDTyhLYt09i92XJnZGa\nwYMBtwz7vCGR5o4K1zVzLuYc1l1dB7/RfqhdtTawbRvo3j2My9qPXr2VMHUq3xEyiq5BA6BvX8Df\n0hlYs0ZirXeW3Bmp6dkTOBTXF6K7EUBKCto0bANlJWXcfXOX79BK5Om7p3DyccIJxxMwqGsAhIQA\nq1djW29fJHysha1b+Y6QqSimTgXWBLcD2rYF9u6VyD1Zcmekpnp1oFPvGkho3hc4fZobNWPuqBCb\nZ6dlpcHO3Q7Ley1HjyY9gNhY4IcfcHWWGzZ4GrAtCRiJ6t8fSE4GosY4c633L1/KfU+W3BmpGjwY\nCFTNv5CY52NPue6aEYqE+MH7B/Rs0hMzrGYAnz8DDg5Imvw77Lf1gacn0LAh31EyFUmVKsDkycDf\nV9oCVlYSab2zGaqMVL16BfRrk4IooRGU3rwBVa8Oo21G8B7ljTYN2/AdnliLQxbjStwVBDsFo6qy\nKjBmDLKVq6P17YNY+JsSJk/mO0KmIoqL4xbei/e/gxojhwDPngE1aijIZh1MpdO4MVBdTxPphm2A\nkJDcrhl5HTXj/tAdxx8eh+cIT1StUhVYtw70/DnGpO5C334ssTPSo68PdOwIeD5vC7RvD+zZU677\nseTOSN3gwcBlzYJrvMvbJ7k7iXcw+8xs+I7yhVYtLeDMGWDbNmzu5o3ktOrYvJnvCJmKbtq0/0ZD\nLlsGrF1brr53ltwZqRs0CNiZYAcEBAAiEax0rJAlyMKD5Ad8h5Yr6VMSHE44YOfgnbBoaAE8fQpM\nmIBLs09ii6cee4DKyIStLRAVBUTVtOSa8bt3l/leLLkzUte5M3DljRFy6moCN27IXddMliALw08O\nxwSLCXA0d+SWtbSzQ+JPf2H4pq7w9AS0tfmOkqkMVFW5SU3794Nrva9bV+Z7seTOSJ2KCmBtDTwy\nspO7CU1EhFmBs6BVSwvOvZwBkQhwckJWpx7odfxHrF0LdOjAa4hMJTN1KnD4MJBt3gZwcCjzfVhy\nZ2Ri8GDA7Zu9VTvqdsTn7M+IfBvJa1w7bu7AtfhrcLV3hbKSMvDXX6CUFIxO2gZra2DSJF7DYyoh\nExPAzIzrxcSOHWW+D0vujEwMGADsuWMFSk0FoqPzJjTxuENTaGwoVl5cCf8x/qhTrQ7g6wvs34/1\nHTzx/lNVbNrEW2hMJZf7YLUcWHJnZEJLCzA1V0ZCu6H5umb46nd//uE5xnqNhdtwNxhqGAKRkcC0\nabgwyws7vBrCw4Pr/2QYPgwbBty8Cbx8WfZ7sOTOyMzgwUCgSl7XTCe9TviY+RGP3z6WaRzpWekY\nenwo/uj+B/o07cPtd2Zvj4R5GzBqQ3t4eXGLOTEMX2rUAMaMAQ4eLPs9WHJnZGbQIGDbwz7Aw4dA\ncjKUlZQx3Gy4TFvvIhLByccJnfQ6YVaHWYBQCIwZg6y+g9D70ASsX8/N/mYYvk2bBhw4UPbrWXJn\nZMbSEnj3qRo+de4PnDoFIG+HJllxDnNGSkYKdgzawW3WvWQJKDMLI16sx8CB3DA0hpEHrVuXbxOY\nYpN7UFAQTE1NYWJigrVr1xY47+fnBwsLC1haWqJdu3YIDQ0tezRMhaasDAwcCFz5ZrZqF/0uSMlI\nQVRKlNTr93jkgcP3DsNrpBeqqfy/vbuPjvHMGzj+zct4WQeL0CeSFDNSSYShVYKNJ14jiSVpnCS2\nq1WkrWe1ard9Vr0cb2lEtbtUzll0S5eWVCWCIlazwiI2Hqy0kioRRKoI0lSikkmu549bk9WSjJg3\n4/c5Z87JzNy579/9O5Pf3Lmu+7qupvDJJ5CSwqLeGym7qeOdd6weghD3JSvrAX5Z1cNkMimDwaAK\nCwtVZWWlMhqNKi8v745tbty4Uftzbm6uMhgMd91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PXmdxfsBcteOk3LlzQhQtKkRMjAh/8VpocjwTu05fUzvVe1JaO9P1nfvNm9Cx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\nlbSi1/NSeF3xQiu0asf6bJuvbmbcvnE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"text": [ "" ] } ], "prompt_number": 22 }, { "cell_type": "code", "collapsed": false, "input": [ "# now let's hear it\n", "\n", "def melody_2_midi(interpolated, filename):\n", " \n", " # create a pm object\n", " pm = pretty_midi.PrettyMIDI()\n", " pm.instruments.append(pretty_midi.Instrument(0))\n", "\n", " # midi parameteres\n", " pitch_low = 48\n", " pitch_hi = 72\n", " time_scale = 1 # melody length\n", " dur = 0.3\n", " velocity = 100\n", "\n", " # stuff the pm object\n", " for i,inter in enumerate(interpolated):\n", " for note in inter:\n", " raw_time, raw_pitch = note\n", " pitch = int(round((pitch_hi-pitch_low)*raw_pitch+pitch_low))\n", " note_on = i*(time_scale+.2) + raw_time*time_scale\n", " note_off = note_on+dur\n", " pm.instruments[0].events.append(pretty_midi.Note(velocity, pitch, note_on, note_off))\n", "\n", " # and write it\n", " pm.write(filename)\n", " \n", "melody_2_midi(lin_interpolated, 'fomulas_interpolation_linear_melodies.mid')\n", "melody_2_midi(hcos_interpolated, 'fomulas_interpolation_hcos_melodies.mid')\n", "melody_2_midi(exp_interpolated, 'fomulas_interpolation_exp_melodies.mid')" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 23 }, { "cell_type": "markdown", "metadata": {}, "source": [ "

example: 2D interpolation between points

" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# example: 2D interpolation between points\n", "\n", "# first some random points\n", "random.seed(3)\n", "num_points = 6\n", "xs = sorted([0] + [random.random() for i in range(num_points-2)] + [1])\n", "ys = [random.random() for i in range(num_points)]\n", "points2D = zip(xs, ys)\n", "\n", "# interpolation parameters\n", "num_steps = 80\n", "xfunc = exp_interp # we can have different interp funcs for x and y dims\n", "yfunc = hcos_interp # we can have different interp funcs for x and y dims\n", "\n", "# function def\n", "def interp_breakpoint_2D(t, points, xfunc, yfunc):\n", "\n", " p1_index = int(math.floor(t))\n", " p2_index = int(math.ceil(t))\n", "\n", " def interp_2D(t, p1, p2, xfun, yfun):\n", " xt = xfun(t, 0.0, 1.0)\n", " x = xfun(t, p1[0], p2[0])\n", " y = yfun(xt, p1[1], p2[1])\n", " return (x, y)\n", "\n", " return points[p1_index] if p1_index is p2_index else interp_2D(t-math.floor(t), points[p1_index], points[p2_index], xfunc, yfunc)\n", "\n", "# plot original\n", "plt.scatter([p[0] for p in points2D], [p[1] for p in points2D]); \n", "\n", "# plot interpolation\n", "ilist = [i/float(num_steps)*(len(points2D)-1) for i in range(num_steps+1)]\n", "interped = [interp_breakpoint_2D(i, points2D, xfunc, yfunc) for i in ilist]\n", "plt.figure(figsize=(12,6))\n", "plt.scatter([p[0] for p in interped], [p[1] for p in interped], s=5);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 24 }, { "cell_type": "code", "collapsed": false, "input": [ "# now let's hear it\n", "\n", "# create a pm object\n", "pm = pretty_midi.PrettyMIDI()\n", "pm.instruments.append(pretty_midi.Instrument(0))\n", "\n", "# midi parameteres\n", "pitch_low = 36\n", "pitch_hi = 104\n", "time_scale = 30\n", "dur = 0.4\n", "velocity = 100\n", "\n", "# stuff the pm object\n", "for note in interped:\n", " \n", " raw_time, raw_pitch = note\n", " pitch = int(round((pitch_hi-pitch_low)*raw_pitch+pitch_low))\n", " note_on = raw_time*time_scale\n", " note_off = note_on+dur\n", " pm.instruments[0].events.append(pretty_midi.Note(velocity, pitch, note_on, note_off))\n", " \n", " # print pitch, note_on, note_off\n", " \n", "# and write it\n", "pm.write(\"fomulas_interpolation_ex2.mid\")" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 26 }, { "cell_type": "code", "collapsed": false, "input": [], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 25 } ], "metadata": {} } ] }