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Saddle splitter exploration
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| { | |
| "cells": [ | |
| { | |
| "cell_type": "code", | |
| "execution_count": 1, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "import autograd.numpy as np\n", | |
| "import autograd.numpy.random as rnd\n", | |
| "from autograd import elementwise_grad as egrad\n", | |
| "\n", | |
| "import matplotlib.pyplot as plt\n", | |
| "import matplotlib.cm as cm" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 2, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "x = np.linspace(-2, 2, 1000)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 3, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "def f(x):\n", | |
| " return (x + 1)*(x + 1)*(x-1)*(x-2)\n", | |
| "\n", | |
| "df = egrad(f)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 4, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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\n", | |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x7f97f7078668>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "plt.figure(figsize=(16, 8))\n", | |
| "y = f(x)\n", | |
| "dy = df(x)\n", | |
| "plt.plot(x, y)\n", | |
| "for i in range(0, len(x), 10):\n", | |
| " plt.arrow(x[i], y[i], 1, dy[i], fc='k', ec='k', alpha=0.25)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 5, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "def optimise(iterations, lr=0.01):\n", | |
| " \n", | |
| " x = [None]*iterations\n", | |
| " x[0] = -3.0\n", | |
| " converged = False\n", | |
| " for i in range(iterations-1):\n", | |
| " x[i+1] = x[i] - lr* df(x[i])\n", | |
| " \n", | |
| " if np.abs(df(x[i])) < 1e-6:\n", | |
| " break\n", | |
| " return x" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 6, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/plain": [ | |
| "<matplotlib.collections.PathCollection at 0x7f97ea9843c8>" | |
| ] | |
| }, | |
| "execution_count": 6, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| }, | |
| { | |
| "data": { | |
| "image/png": 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\n", | |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x7f97f40a6ac8>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "x_vals = optimise(100)\n", | |
| "c_map = color=cm.autumn(x_vals[0::5])\n", | |
| "\n", | |
| "plt.figure(figsize=(16, 8))\n", | |
| "plt.plot(x, f(x))\n", | |
| "for i, X in enumerate(x_vals[0::5]):\n", | |
| " if X is None:\n", | |
| " break\n", | |
| " \n", | |
| " plt.arrow(X, f(X), 1, df(X),alpha=0.25, color=c_map[i])\n", | |
| " \n", | |
| "plt.scatter(x_vals[-1], f(x_vals[-1]))" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 7, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "# init two variables in the place of our variable\n", | |
| "# must = the current value\n", | |
| "\n", | |
| "def generate_vars(x):\n", | |
| " a = rnd.random(x.shape)\n", | |
| " b = x / a # additive? mul?\n", | |
| " return a, b\n", | |
| "\n", | |
| "def f_reparam(a, b): # is this still the same fn!?!!?\n", | |
| " x = a * b\n", | |
| " return f(x)\n", | |
| "\n", | |
| "df_a = egrad(f_reparam, argnum=0)\n", | |
| "df_b = egrad(f_reparam, argnum=1)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 8, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "a, b = generate_vars(x)\n", | |
| "dy = df_a(a, b)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 9, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "x = np.linspace(-2, 2, 2000)\n", | |
| "X, Y = np.meshgrid(x, x)\n", | |
| "Z = f_reparam(X, Y)\n", | |
| "Z = np.clip(Z, -10, 10)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 10, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "from mpl_toolkits.mplot3d import axes3d, Axes3D" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 11, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/plain": [ | |
| "Text(0.5,0,'b')" | |
| ] | |
| }, | |
| "execution_count": 11, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| }, | |
| { | |
| "data": { | |
| "image/png": 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rJElCPp/H5uYmJEkyf9/rw6ZYLIZoNNo2dOqmMgto/3hmJ3QygieGTkRENEoYKhERkS29zklSFAXpdBqiKCIQCGBxcRGXLl2y1f4SDAYHFioxSCInDDp06jZkcVMwGMT4+DjGx8ctL1dV1QydZFnGzs4OUqkUZFmGpmkQBMGytW5sbMy1+2sndDKGnVdf1mrnOuMtERGRlzFUIiKitpyYk5TNZpFMJnFwcICFhQWsr683rVhoxwiV+oVBEvXbs3f/h5aXX/jBv/RpJd4hCALi8Tji8bjl5UboZLTX5XI5831VVVGpVPD88883BE/RaNS1gLrVY6RR2aRpGjRNawidjOszdCIiIi9jqERERJaMV9j39/ehqqo5J8XOnKRCoYBkMolsNovDhw9jeXkZU1NTPT8R6leoxDCJ+m36rHVgUs8InboNl7xYqdSrVqFTsVjEL3/5S5w4ccIMmra3tyFJEkqlEnRdRygUsty5LhqNulblVP22HkMnIiIaBgyViIiohqZpNXOS0uk0AoEATpw40dH1ZVlGKpVCOp1GLBZDIpHA6uqqo5UAgiC4FioxSKJ+6zRIou4ZodHExAQmJiYsP6dSqdTMdCoUCpBl2QydwuGwZegUiUQGHjoZlVjVNE1DLpfD/Pw8QyciInINQyUiImo5JykUClm+Ql5NURRkMhmIoghVVZFIJHDnnXciHA67st5gMAhVVR07HoMkCk2FoOwpfb3Ns7+72vCx5E9v9OW2R7FSqZVO7m84HEY4HLbcddKYi2RUOcmyjHw+D1mWUS6Xoes6IpGI5SDxcDg8kNBJURSkUinMzc1Zhk7GdesDp+rgyU8/I0RE1B2GSkREPmXMSTLCJMB6TlKzVjNd15HL5ZBMJlEoFDA/P4+zZ882HbLrJCfa3xgkUWgq1PL/9epDp9k7pju6ney/5mv+bxUmGZY2jvUtWPKTXkO0QCBghk5TU1OWxzcqnYzgaWdnxwydACAajVoOEncrdKoeBN7scuCNSicr9aGTIAg1VU4MnYiIiKESEZGPGHOSVFWForzxBLnVkwNBEGqecOzv7yOZTGJ7exszMzM4fvw4ZmZm+vrkopdQiWEStQuPWl1P2VM6DpMMs3dMNwRLg8ZKJWcFAgFEIhFEIpGmoVO5XDZDp4ODA2SzWciyjEqlYl6/vrVubGwMoVCoq7W32yHTbntds2MwdCIi8jeGSkREPlA/JwnofOC2IAgol8u4du0aUqkUotEoEokEVlZWIAiC20u3ZDdUYpBEvTr/0IWa/7/+g1cGtBLqxqBDtEAggGg0img0iunpxlBS13WUSiUzdCoWi8hms5AkCYqimNevb60zQicr7UKlTtZc/dZqzcbtGKFT/de5vqWOoRMR0ehhqERENKJazUnqhKqqyGQyeP3113FwcIBTp05hY2MDkUjEzWV3pJNB3QySqN7y+441vez6E+m+rKFV6xu5R9M0TwcYgUDArFCamZlpuFzTNDN0kmUZhUIBW1tbkGXZDJ3qK5yqX0Rwa83Vb+sZt21UxloFewydiIiGH0MlIqIR0umcpFbX39nZgSiKyOfzmJubwy233IKtrS2cPHnS7eV3rNWgboZJw2FydRyFfzuwdZ0jdzY+2bay/ZNd8/1WQVIvTt69MtTVSoOu3Ok3Y77QsAoGg4jFYojFYpaXG6GTMc9pb28Pe3t72N/fx5UrVxAMBs3QqX6mk1sVp06HTkaLHUMnIiJvYahERDTkquckddPeBgDFYhGiKCKTyWBqagqJRAJra2sIBAIoFotIp/tTxdGp+vY3BkmDMbESw/4rkq3rTK6OW75frzpw6jRMqv786mCpE8fvWehbtZJX+OkJ+aiHaFahUy6XQzabxenTp6FpWs0Q8d3dXfN9o02uPmwy3ncrjHMrdKoOnEb5e05E5BUMlYiIhlSzOUmdPgEol8tIp9NIpVIQBAGJRAKXL19ueNXaiZ3WnBYMBpF84D/i+eeLg16KJbu7iA2KEerYqRiaWIm1/H+9/VekluFRq7Wd+/AlAMDL33zG9vWdVD9PaRS42RblRaMeKlmprs4KBoMYHx9vujunqqpma50kSdjZ2UEqlTJDJ0EQLEOnaDTqudApk8kgFothcnKyJnCyaq3z288EEZEbGCoREQ2RXuckaZqGra0tiKIIWZaxsLCACxcuYGxsrOl16nd/G7SnL/1P5vvTZ+PIeyRYsrOjWP3n9hIyVVfxdFqdUx/ytAt9dLW7AOLMA29UkL349ee6OgaRE/wYKtkZ1C0IAuLxOOLxuOXliqKYoZMsy+bOdbIsQ9d1hEIhy9a6QYROxWKx5nbbVTq12rnObz8zRETdYKhERORxTsxJyufzEEURuVwOR44cwcrKCiYnJzu6fS+EStVBUr3ps9ZPggD0FDi12za+eov4breoB262XVV77Rs32l6nWTtYqzaxUqFsb2G/cuv96+b7L/zjz7s6hnEcBkvOEx59BOqDD9u+nt9CFr/dX6D33d+qhUIhTExMYGJiwvJyI3QyWuq2t7chSRJKpZIZOlm11kWjUce/L8b97rTSyQic7IROxtfVbz9TRERWGCoREXmQE3OSJEmCKIrY3NxEPB5HIpHArbfeavtJhhfb3zrVbqet57/ybzX/bxckWX3uibecarjsub9qH77Uh0kGq8HSRtBkd7aQ4fR9twEArv7tla6uTzTsvL77mxucDJXaaRU66breEDoVCgVIkoRyuQxd1xEOh2vCJuNtJBKx/X1TVbWj4eOdhE7G2pu1i1a31lUPEWfoRER+wlCJiMhDjBPYbuckKYqCdDoNURQRCASwuLiIS5cuIRTq/uF+WE+Klzba7/p19ndXG4IlJ6x/9HxHwdKwOfPA+Z6qlfqpm2Hdbpq9Y7qmum3Q/Fa5M+y7v3Wjn6FSK4FAAOFwGOFw2LJCVtd1VCqVmplO+XwesiyjVCoBACKRiOVMp3A43PBz3Gmo1Mm6W/2OVIdOlUrF8vrNdq6rrqQiIhp2DJWIiAasuiIpnU5DVVUkEomOq5I0TUM2m0UymcTBwQEWFhawvr7edOtpIr/otrLLLZ1Wwi1tHEPyp+3bIKlzfgvRgJt/G3p5QaFfAoEAIpEIIpEIpqamGi43QiejyskYJC7LMsrlm2290WjUDJokScLBwQHC4TBCoZBr3/dOQidN06BpWkPoZISczXauY+hERMPE+39piIhGULM5SZqmoVQqtT2Z1HUdhUIByWQS2WwWs7OzWF5extTUFE9Eh0Cz1rdmlt93rKNZS1RrcsF6/suouONT93d9Xb+FLH6tVBqF73F16DQ93RjM6rqOcrlsBk6VSgWZTAbXr19HpVJBIBAwQ6f6aqdwOOzqutvNc2oWOhnXZ+hERMOAoRIRUZ90MicpFAq1HIotyzJSqRTS6TRisRgSiQRWV1d992TJSW61wHnRuQ9fGsq5Sqfvuw0vf/MZ12/n+D0LuP5E2rXjz6/ZCxPJOX4L0QDvtL+5zQiNotEopqenkUwmsbq6arbA6bqOUqlkhk77+/vmIHFFUczrWw0Sd6vSq9Mh4gydiGgYMFQiInKZnTlJVjutKYqCTCYDURTN1rg777zT1VdYrfjxSRlRKyfvXsHrP3hl0MvoSrPBw6PKj49ffqzOAm7OVKq+34FAwAyLZmYaW2KNCmEjdCoUCtja2oIkSVBVteb69YPEnZjdZMVO6KSqKiqVCrLZLMrlMhYXF83r1gdO1cGT334fiMg9DJWIiFxQXZFk7JxmnMS1OpEzQiVd15HL5ZBMJlEoFDA/P4+zZ89ifHy8X3ehRiAQ8OWTsl44Pazba/OBunHr/et48evPDXoZ9Ct++n32S9VONT/eZ4Odn+1gMIhYLIZYLIZDhw41XK5pmjlEXJZl5PN5bG5uQpZlM8Cyaq3rd+ikKAqAm+cR9aFTs2NUh06CINRUOfnp8YGIesNQiYjIIc3mJNk5OSuVStjZ2cGPfvQjzMzM4Pjx45iZmRn4yZ0Rdvn1CQq9YZh2gCMy+DEU93Oo5KRgMIjx8fGmL+qoqopSqWQOEt/d3TXfN74HVq11Y2Njjn5/VFU12/XsVjpZYehERJ1iqERE1INO5iS1UyqVkEqlkEqlEAqFEAwGcfnyZU89GTBCpX633BEN2vmHLgx6Ca7wW8jit/sL+DdU6vf3WRCEtqGTUeUkSRJyuRwkSUKpVIKmaRAEoSFsisViiEajtr5/iqIgGo129LndhE71v0NGuMTQiYgYKhERdcHOnCQrqqqac5IqlQoWFxexsbEBAHj22Wc990QgGAyabXyDcMf//j786xe+4drxh2FY9+TCBArp/UEvo2/OffhSz8c4+e7LeP3bTzqwGhp2DJVoUARBQDweRzwet7xcUZSa0CmbzZr/13UdoVCoaehU/TNdXanUK7uhU/V5kKF+jhNDJ6LRxVCJiKhDRnuboii25iRVX39nZweiKCKfz2Nubg6rq6uYmHhj2/Pq1jkvsRogPmpm72jcqnoU2dkB7tb7111eDTlBePQRqA8+bOs6fgtZ/HZ/AX+GSsM4gD4UCmFiYqLmXKCaoihmO50sy9ja2oIsyyiVStB1HeFwGGNjY9jf3zcDnFgshkgk4trPfKehk6qqUBTF8vevPnCq37nOb7+vRMOMoRIRUQtGe5tRlQTYn5NULBYhiiIymQympqaQSCSwtrZmef1BVwQ144dQyQ1OD+um4TZ/zwY2n/jpoJfhSwyV/EFVVdeGYw9KKBTC5OQkJicnGy4zzk9kWcZLL71kVkFLkoRyuWyGTlYznYYxdKoOnPz2+0zkZQyViIjqODEnqVwuI51OI5VKQRAEJBIJXL58ue3JrldPkrwadpF3nXngvKPHO33fbXj5m884ekwvW9o4huRPbzS9/I5P3d/T8f0Wsui67ruAxY+hkt/ucyAQQDgcNv8dP34cY2Nj5uW6rqNSqdS01+XzeTN0AoBIJGIZOoXD4aEInaoDJ4ZORIPBUImI6FeMIMk4gQHszUnSNA1bW1sQRRGyLGNhYQEXLlyoOcEbVqxUIqfcev86Xvz6c4NeRlPH71nA9SfSjh/3/O/f5/gxqXOapvnuSaYf7/MoVip1yuq+BwIBRCIRRCIRTE1NNVxH13WUy+Wa0GlnZweSJKFSqZjXt5rpFAqFPBM6vfrqq5idncX09Btt7NWhk9U8J7/9bhC5iaESEfmaE3OS8vk8RFFELpfDkSNHsLKyYlmmPsy8ECq5Pax7fm0Bm79wPkxw0trH3o5ffPmfB70MnHngPF74R7b1AcDJu1fw+g9eGfQybPNjpZKf7i/gz+osP4dKiqLYvu+BQADRaBTRaLQmkDEYoZMx06lYLJqDxI3QKRqNNg2d3FIfOimKgnA4bN7/TiudWu1c57fHC6JeMFQiIt8x2tskSTJPuO2eREiSBFEUsbm5iXg8jqWlJZw5c8axkxCvPQFi+xsNm3MPvWPQSyAP8dpjaj/4rRUM8Od9rub0fa8Onazouo5SqWSGTvv7++YgcUVREAgEzKCpPnhyMnRSFKXmeJ1UOhnzqJoNd6+ucqoeIl593khENzFUIiJfsJqT9NRTT+Etb3lLxycGiqIgnU5DFEUEAgEkEglcunTJ8VfjjADHS6+2eqFSaVh5cVi3nR3gaHT56UmRH0MlwF/fY8DflUqDUB0aWdE0DaVSyWyt29vbMweJq6qKYDCIaDRqOdPJzvexPlTqZN2tfjeqQ6dKpWL5OQydiN7AUImIRlp1kFTd3tbplrWapiGbzSKZTOLg4AALCwtYX19HLBZzbc1GgOOlE2NBEJqeWLlN/ep/Hsjtes2Jd10a9BKG0sl3X8br335y0MvwnGHcer0XfgyV/PY9Blip5DXBYBCxWAyxWAyHDh1quFzTtIYh4pubm5Bl2Qyd6sOmWCyGaDRac45kN1Rqp5fQyWg7bbZznfGWaJQwVCKikePEnKRCoYBkMolsNovZ2VksLy9jamqqLycCXqwK8kr7m9tzlc7//n34+X/7pmvHH4TT99026CWQB/ktcPBjqORHXntBpl+G9fc5GAxifHwc4+PjlperqmqGTrIsY2dnB6lUCrIsmxXdY2NjkGUZqVSqptXOzXCx1fmk8b3QNA2aplm+IFdsDF+EAAAgAElEQVRd1cTQiUYBQyUiGgnV7W2KogDoLEiqfqJhnJSkUimMj48jkUhgdXW17696ejFU8uKavODEW04Negm+cvq+2/DyN5/p2+2df+hC325rEPz0xMWPFSx++v4a/BoqjerPtyAIiMfjiMfjlpcboVM+n4emacjlcpAkCaVSyQydrFrrotGoa1+vTneuY+hEo4ShEhENLas5SUD7smWDIAgol8tme5umaUgkErh48SLC4bDby2+5Lq8FOF5ck9Pm79kY9BI6Mgo7wN16/zpe/PpzDq9oOMzfs4HNJ37a0zHu+NT9DR8THn0E6oMP93TcUebHSqVhrV7pxaiGK+043f41LARBwPj4OEKhEI4dO9ZwuaIoNe1129vb5v91XUcoFLLcuS4ajbr2eGEndFJVlaETDQX/PfoQ0dBrNSep0+vncjkcHBzg6aefxsLCAtbW1pqWX/ebIAhmtZVXeKX9jfzh3IcHOz/q+D0LuP5EeqBrcJvfQha/3V+/UlUVkUhk0MvoO79WaAE373uzQC0UCmFiYgITExOWl1cqlZrQqVAoQJZllEol6LqOcDhsOdMpEol4JnTK5/O4fv06VldXa45RHzhVB098LCSnMVQioqHQ65wkANjf30cymcT29jZmZmYQj8dx9uzZpicbgxIKhTxXFeSlSiW35yq5gTvAjbaTd6/g9R+84vhxlzaOIfnTG44f14/8Fir57f4a/Bqu+PV+A71VaYXDYYTDYUxOTjZcZgziliTJDJ7y+TxkWUa5XIau64hEIpahUzgc7lvoZLT5Gd//+tCp2TGqQydBEGxtYkNUj6ESEXlWt3OSqpVKJXNOUjQaRSKRwOnTpxEMBnH16lXPBCXVvBTgGLy4JreM4rBuGqzzv3/foJfQwG+hA++vP7D9zT79i5/BlUe+Y3nZXS/8qJdl9YVbrX+BQMAMnaamphou13XdrHQygqfd3V1IkoRyuQwAiEajDaHT2NiYo6FTpVKpGdlgt9LJihEuMXSiTjFUIiLPMf7QdTMnCbj5il0mk4EoiqhUKlhcXMTGxkZDSbxXgxIvrovtb0TeJ8uyq7NAhpnfQha/hit+rdhx634/deYtDR8rbZbN9+/J/cTx27RrUPOkAoEAIpEIIpFI09CpXC6bodPBwYE5SLxSqZjXtxokHgqFOn68qg+VOll39VurdQO1oVP942d9Sx1DJ2KoRESe4MScpJ2dHYiiiHw+j7m5OayurrZsbQuFQp6bXQR4M1Ty4pqG1fF7Fno+hleGdQ+Lk+++jNe//aSt6zjxfeq3l156yZwFYrRlxGKxmrYM48mK30IWv91fP4dKfrzfiqJ0HSo1q1KqVx0mGZ44fGfL6/QjdPLqkPJAIIBoNIpoNIrp6emGy3VdR6lUMlvrisUistksJEmCoijm9a0GiVffX7uhUifrrn5rtW4AZheB1WNrMBjEH//xH+Nzn/ucrx53/cx7v4FE5BtOzEkqFosQRRGZTAZTU1NIJBJYW1vr6PpeDpWM0mmvYKjkP7fev971dc88cN7BldQ6fd9tePmbz7T8nHMPvcO12/ey8+dvft2NtgyjJePg4ADZbBayLJuvkEuShFdeeQXj4+M1T1pGucrDT09u/BoqGfNl/KbVsOpeWAVJdvQjdKpUKp4MldoJBAJmUGRF07Sa0KlQKGBrawuyLJuh09jYGGRZxuTkZM1QcTe/Hp2GTt/61rfwuc99zrV1kLcM328gEQ01qzlJgL32tnK5jHQ6jVQqBUEQkEgkcPnyZdsnkl4NSry4Lq+1v3FYtzeceeA8XvjH7u7Trfev48WvP+fwigiobcuweoVc0zQ8/fTTmJ2dRalUQj6fx+bmJiRJMp+U1w+eNZ6s+CmYGWZ+DZX8WqnU7a53+hc/Y75/+r2nzPevfukFR9bVjhOhk1uB2qAFg0Gz0tSKETq99NJLCIfD2Nvbw+bmJmRZNn8PjMft+sdxN4PXQCBQ80Ix+cPo/QYSkSf1OidJ0zRsbW1BFEXIsoyFhQVcuHCh6Ss8nQiFQiiVSl1f3y2CIHiugspvJwZ+GdbNHeCGzx2fur/nYxhzMA4fPmz5u62qqlnlJEkStre3IUlSzTbb1YGT8b6bOx6RPX4NlfxaqaQoStPwwY5+hUmd6iR0qlQqiMfjfVqRdxihUzAYxOLiIsbHx2su1zTNrHKSJAm7u7vm+8bjg1Vr3djYWM+PHXt7e5YvaNDoYqhERK4xhhSWSiWz39vunKR8Pg9RFJHL5XDkyBGsrKxYbv3ajVAohGKx6MixnBQKhTxXqUTkN2/6xAew8/j3XTn2/D0b2Hzip64c2wmCIGBiYsJyJl39jkeSJGFnZ6dm+Gw0Gm2ocorFYr58sj8omqb5MuDz86DuUazWaac6dHqx7jIvDBHvB0VRLGcqBYNBjI+PN4RNBlVVa0KnnZ0dpFIpyLJcU7Fa/zgejUbbnsdns1kcOXLEkftHw8F/jz5E5CpjTpJRlbS3t4fr16/j3LlzHZ/gSpIEURSxubmJeDyOpaUlnDlzxvETZC+2mQHeXVc/aZqG7e1tJJNJdDOdZ2njmONrIho13TymttvxqHoOiCRJDS0Z9U9UjCcrnTxRoc7puu7LcMWvFVpOhmnHf2Ox4WPXv5Ny5Nj95IUh4v3Q7aByQRAQj8ebVnlVV6zKsmzO5ZNlGbquIxQKmY/l//RP/4STJ09iZWUFt9xyC7a3tzE7O9vrXaMhwlCJiHpWPSepvr0tHA5DVdW2T14URUE6nYYoiggEAkgkErh06ZKrr7x5eVC3X0Ol/f19JJNJbG1tYXZ2FqdOnQJ+Yf25wzhXyckdxbgDnLecvHsFr//gFcePu7RxDMmf3ujoc4VHH4H64MOOr8GO6jkghw4darjceHXceLLC1jp3dPJ3d1T58X73svubX41K6OTWzpatKlaBmz9zsixjf38fu7u7ePbZZ3H9+nVkMhmUy2Xouo6Pf/zjuOWWW7C8vGy+XVxc7Phn9eMf/zi+8Y1v4OjRo7h69SoAIJfL4UMf+hCuXbuGW265BX//939v+beG+ouhEhF1rdmcpOpXCcPhcNPgRtM0ZLNZJJNJHBwcYGFhAevr647MBeiEF2cXAd4Oldw4ealUKkilUhBFEeFwGEtLSzh9+rT5c+TNr0R3Zm45it1rmUEvg/ro/O/fN+gleEqrV8d1XYeiKGZbnSzLlq119YETW+sa6bruy4od41zEb9xofzvIHiD7r3lHjzlMRiV0cksoFDJDpz/6oz+queyv/uqvsLu7i/e+9724du0arl27hqeffhrXrl1DMpmEpmk4cuQI1tfX8ad/+qdNb+Ohhx7CH/7hH+KjH/2o+bHPf/7z+PVf/3V8+tOfxuc//3l8/vOfx5/8yZ+4dj+pMwyViMiW6oqk6t0dmp28hkIhVCqVmusXCgUkk0lks1nMzs5ieXkZU1NTfX910auzi7waKgUCAcdCJV3Xzfa2g4MDLC4u4vbbb0c0GnVgpc7wy7DuXg3LDnAn330Zr3/7yb7cFnXHqG4Nh8OWrXW6rqNUKpmBk9VuR1aznLz0uNIvfm0D86tu29+uPPIdADd3frMa0j17x81hy34Ol5rxQujk1d0Ot7e3cerUKdx+++24/fbbGy7XdR25XA7pdLrlce655x5cu3at5mNf+9rX8L3vfQ8A8LGPfQy/9mu/xlDJAxgqEVFb9XOSgDd2bmsXMASDQei6DlmWkUqlkEqlMD4+jkQigdXV1YH+MfRq+1swGDQDOy8xwq5evmfFYhHJZBKZTAaHDx8eWKBIb/DaDnDnPnyp7eecvu82vPzNZ/qwGvKSQCBgzvCwUt9aVz0DpFgs4mc/+1lD4BSLxUaytY6hkr90EyrpX/xMx59rhEv1GDY114/QqVKpWA7pHrRsNovLly83vTwQCGB2draruUubm5tYXLw592txcRGZDKu/vYChEhFZajUnqdOTb0VRkMlkUCwW8eyzzyKRSODixYue+QPo5YogLzK+Xna/f4qimO1tgiBgaWkJp06dcqRdZRjnKvXT6ftuG/QSiPqmVWvdlStXcO7cOTNwkiQJ+XwekiShXC43tNZVvx3GXbX8GCq5NVtmWDhx362GdFthmOQNzXZ+GzTu/uY/w/dXkohc1cmcpFaMktZkMolCoYD5+XnEYjHcddddbi67K34++eyGnQoq4+fgxo0bKBaLWFhYwIULF5pWGFBrJ95lXb3DYd3+csen7h/0EoaSETbYaa0rFArY2tqCJElmhaZVlZNXd63zY6jkx/vcT4p8s7I7/3xxwCsZbk62xXm1Uml7extHjx515djz8/NIpVJYXFxEKpVy7XbIHoZKRGR7TpIVY9eu7e1tzMzM4Pjx45iZmUEgEMDW1pbvX0EcBZ1Udh0cHJjtbTMzMzh58iSmp6eH9nvvxlylN/2n9+PVL/1/jh6T3nDuoXc4dqxD974NO49/37Hj0WB08ven09Y6o8opl8uZAZSxvbbVrnWRSGQgj3+apg1lhVUvup0rRPZMn7Xegp5hU2tuzFjyaqiUy+Vcq1T6zd/8TXz5y1/Gpz/9aXz5y1/Gb/3Wb7lyO2SPv/7aEJGplzlJhlKpZM5JikajSCQSNbt2GYxd1rz4h8/LvBbECYJgWamkKArS6TREUUQgEMDS0hIuX77Mk3uiFubv2cDmEz8d9DJ8wYnH0latdcDNJ3dG4GTVWheJRCxDJ7eCH03TPPX3ox/8WqnklR3vps/GGSxZcHNgt1dDpXK57Ehl+kc+8hF873vfw/b2No4dO4bPfvaz+PSnP40PfvCD+OIXv4gTJ07g0UcfdWDF1CuGSkQ+4sScJFVVkclkIIoiKpUKFhcXsbGxgUgk0vQ64XDY06GS18Ib4I1WMy8FM8Fg0Awg69scFxYWsL6+jlgsNuBV0iBU7wB35oHzA15N7970iQ90db2Td6/g9R+84vBq3OGVJ6L90I/HeKO1bnJy0vL2y+WyGTjt7+9bttbVB05jY2NdhyR+DFj8WqnkhfvNMKlWP3Z+A26GSuPj4325rU45+bflb/7mbyw//thjjzl2G+QMhkpEPqDrOhRF6WlO0s7ODkRRRD6fx9zcHFZXVzExMdHR9b26yxrg3Soqo9Vs0CeK1QRBwMHBAXK5HDY3NzE9PV3T5jgoHNbdu0HuAHfr/et48evP9eW2Tr77Ml7/9pN9uS3gZvtkvwmPPgL1wYf7frteNugXDowh4NFoFDMzMw2Xa5pWU+XkRGudX0Mlv91n4Ga1cC8Vb6ffe6rhYwfZg7bXW//dt+G5r9xsD2aV0k39CpMMlUrFc22upVIJ0WjUcy/Wkru89VNIRI5pNifJTlVSsViEKIrIZDKYmppCIpHA2tqa7T8UoVAIlUrF9n3oh1Ao1NWOZm4zgrhWFWD9oigKNjc3kUqlIAgClpeXcdddd3nuRIacc+v964NeQlun77sNL3/zmUEvoy+WNo4h+dMbjh7TTyf8gw6V2gkGgxgfH29acVDdWifLMvL5PGRZRqlUAoCaXeuMwMmPAYvXqnv7pdsXoK488h3z/atfeqHl56799tvw7F8+3vJzms1aAka/kqnfYZLBi+1v2WwWs7Ozg14G9RmfERCNECfmJJXLZaTTaTNASCQSPc/H8XKlklfX1slQbDfpuo7d3V0kk0nk83nMz89jcXERExMTSCQSA1vXIDQb1n3iLY2v7nbKyWHd3AGOqDWvh0rtdNNal8vlkM1mEQ6Ha1rrqt+OWujkterefunmfutf/EzDx47/xqJTSzKNcpg0qCCpmhcr7be3txkq+RBDJaIh58ScJE3TsLW1BVEUIcuy49u/ezW4AQYf3jQzqHVJkgRRFJFOpzE5OYljx46Z1Wn//u//7smvFZEfLG0cc/R4fpqpNMqtYM1a61588UUkEglMTEzUVDnt7OwglUpBlmVzh7j6wCkWiw1s17pejPL3uZVe298AZwOl0NjNtWT/Ne/YMb3EC2GSwYuVStvb25ibmxv0MqjPGCoRDanqOUmSJOHFF1/E7bffbmtOUj6fhyiK5tafKysrlq+E9srLoZJX19bPUElVVWxubiKZTELXdSQSCcv2NkEQPNvGyLlKNOrm77590EsYWsNeqdQNI2Bp11qnKIoZOEmShEKhYO5ap+t6TWtd9VuvPZEFWKnkpnatb1Zm75iu+f+wh0xeCpMMXvyZz2azOHLkyKCXQX3GUIloiDSbkxQOh1GpVDo6aTYqUTY3NxGPx7G0tIQzZ864esIdDodxcNB+6OMg+DVUMkLFGzduIJ/P4+jRo1hbW2u5i4ixIx117/C9dw96CU31Oqy7ege4UXLo3rdh5/HvD3oZjvNTyOLnUKmdUCiEycnJlq11RuBULBaRzWYhSRIURUEgELCschpUa50Xn2D3g6IoA7nfxpDuahc+fi9+8dfWj5fVIdMwBUxeDJO8jJVK/sRQicjjOpmTZAybbkZRFKTTaYiiiEAggEQigUuXLvVt0LKXK1z81v4my7LZ3jYxMYGlpaWOh6979WvlhPl7Nlpe3myuEjnD2AHu3IcvDXopNIIYKnWnurVuenq64XJj1zojdKpvrRMEoSZocru1zmjn8xtVVft+v6t3frNjWMKkYQiSvPq4lsvlcPr06UEvg/rMf4+8REPA7pwkq49pmoZsNotkMomDgwMsLCxgfX0dsVjM9fXXC4fDng0j/FCppKoqMpkMkskkVFVFIpHAxYsXbbcvjHKoNAgc1t27bnaAO/nuy3j920+6tCJ75u/ZwOYTPx30MkaeV598uakf84U6aa0zAier1rpIJGJZ5dRta52qqohGo73cpaHUyw62p9/b/YYTdo3PjiMLb4dKwxAmGQZVodbO9vY2jh49OuhlUJ8xVCLyECNIUhSlJkiyMyepUCggmUyaW3ouLy9jampqoCfUoVDIs5VKoVAIkiQNehkNBEHoKezSdR17e3tIJpPI5XI4evQozpw5g3i8+Za/7Xi9/Y1zlQbvzAPnB3r75x56R8/HeNMnPtDT9U/evYLXf/BKz+sg5+i67rsBzpqmDTxIC4VCmJiYwMTERMNl3bTWGbvYNXsi7ef2NzuVSlY7v7Wy9ttv62qmkpVWA8GvfyflyG10Y5jCJIMXh3QDNyuV2P7mPwyViAbMaG9TFKVmTpKd3dtkWUa5XMaPf/xjjI+PI5FIYHV11TMn0V6tBgK8W30TCoVQKpVsX69UKkEURaRSKYyPjzs6M8urXysiLzr/+/cNegn0K36sVPJ6kNZJa12pVDKrnHZ3d82B4tWtddWBU7lc9t33GeguTLvyyHeaXnaQ7f8MzEEESsMYJFVTFMWToRJnKvkTQyWiATDa24zd2wD7QZKiKGZLk3GCdeHChZ4qUdzi5VDJq2uzE+Bommb+LFQqla7b29oJBoN9D5XUr/7nvt4eDc6t968Pegmepp3dQPD5zlrlhEcfgfrgwy6vaHh4oWqn3/rR/uamYDBotsRZqW6tk2UZW1tbyOVyyOfzCAaDDa11xttQKDRyPwu9Vmjlb+w6uBr7+h0oDXuYZPBqpdLe3p5lUEyjjaESUZ/YnZPU7Bi5XA7JZBKFQgHz8/Pmjl3PPGNvrkg/ebnCZZhDJaO9LZvNYm5uDqurq5ZtBk6uycvtb25zY1i3k3OV6p2+7zbb1+l1BzgiL/JjpRIw2jv8WbXWKYqCEydOIB6Po1KpmFVOBwcHyGazkGXZ3CnXaKWrD56GsX3ObvubW1rt/DY+23xn2U5F5yMobZa7vv6ohEkGL4ZKxnObYQ60qTuDfwQiGnG9zkkCgP39fSSTSWxtbeHQoUM4fvw4ZmZmak4Yw+GwZ+cWefnE1quBV7N1lctls71tbGwMx44d61uro1e/VtX8PFfJqWHdvVQMTbznfdj/H/78+lc7efeKo8eb++TvOXo84I2Tfz/wa6jkN0bFTiAQQCQSQSQSadtaJ8sy8vk8Njc3IUmSWfldHzjFYjFEo1FP/hz1e5bU+u++zZXjnvtPZxo+9vK3flnz/+h8pOUx6kOnUQuSqnkxVDIqJL34e0LuYqhE5AIn5iSVSiWkUimkUilEo1EkEgmcPn26aXjg1Yobr/Pq1606wNE0Ddvb27hx4wZKpRISiQQ2NjYQibQ+uXJjTcNQqbS0cWzQS3DUiXddGvQSfO/QvW/DzuP2t88mb2Co5A+dhiudttYZ7XVbW1uQZRmlUgm6riMcDtfsVme8P6jWum5DpU53fnNqSHc/GKHTXS/8aMArcV+lUhnIjs6t5PN5tr75FEMlIodUt7cZIYXdIMnY+l0URVQqFSwuLnYcHni5UsngxRP7XndZc4sgCCiVSnjxxRexvb2NI0eO4PTp05icnBzYmgYxU4mondP33YaXv2mv/ffkuy/j9W8/6dKKhoPXHovd5MW/PeQ8p+ZItdu1rlKpmIGTJEnY2dmBJElma100Gm0InNxsrXNzflaznd+e+4r7IXt9lVIn/BAmGbxYqWScr5L/MFQi6oFTc5J2dnYgiiLy+XzXs3G8HioZlTde6Puv5rXqm3K5jFQqhWQyCVmWccstt+DNb36zJ/rT+aTMnblK5G/z92xg84nOBnBTd/w4qNuP+tEGVt1aNzU11XC50VpnhE6dtNYZ8516+Rnt+Jzzi59pefnKh96On/95/1uYrVrf7PBTmGSoVCqeO6dmqORf3vpJJBoS1UFSdXubnSf+xWIRoigik8lgamoKiUQCa2trXZ9UhEIhSJLU1XX7wWgz89ofQC880TDa24wgaXFxEXfccQd+9rOf4ejRo4Ne3tCZf+tt2PyhdwfX13NzWHc34vc/gOLX/3HQyyCX+W2mkheCeXLfoP+mV7fWHTp0qOFyVVXNWU6SJGF7exuSJDW01tVXOYXD4YHfNzd0s/PbpYd/AwCw94H/A+l0Gqurq04vayh4sVIpm80yVPIpbz27I/IwJ+YklctlpNNppFIpCIKARCKBy5cvO/LKWjgcxt7eXs/HcYtXZxcNUvUA9tnZWZw6darmlU8/PekjZzg1rLsX3Q7rjt//AEr//E8urKhzb/rEBxw5zsRHPgpcfcqRY1Hv/Nb+xr8d3iUIgqOtdWNjY7a/31ce+U7Ty7qtUrrw8XubXnb+D96HV/7Omb9LRqAEeLNSp5+8+ELt9vY25ubmBr0MGgBv/SQSeUx1e9u1a9ewsLBgvlrU6QmqpmnY2tqCKIqQZRkLCwu4cOECxsbGHF2r19vfGCrdVKlUkEqlIIoiwuEwlpaWWg5gJ/u0tTuBIapUImece+gdg16C67SzGwg+33urnB9DFt5f8rp2rXW6rtcMEN/b20M6nYYkSbhy5YpZJVXfXheNRpueY+Rv7Npao1s7v3VDURTPVer0kxcrMLPZrG8rx/yOoRJRnWZzknK5HGZnZzsamq3rOvL5PERRRC6Xw5EjR7CysuLqkGWvhzZeXl8gEHB10KWu62Z728HBARYXF3H77bcjGo26cntu8/sTFs5Vck/07e8aeLWS18x98ve6up7w6CNQH3zY4dUMJ789Zrn594wGJxAINLTWVSoVXL16FbfffjtUVTUDJ1mWkc1mG1rrbhvwfXCSFyt1/C6bzbJSyaf4m0j0K+3mJHVSCSRJEkRRxObmJuLxOJaWlnDmzJm+nMx6vVIpHA57NlQyhog7fRJeLBaRTCaRyWRw+PBhLC8vY2pqaqif3AQCgaF4gjb3yd/D1n//C9eOf+ItnW3FTP1x+j73nyoduvdt2Hnc/R2P+sFv7VFefEXfTX4MlYwXBP2mOlgRBAHxeBzxeLzh83Rdv3kO9q835+Wdfm/7v2Frv22vKukXf93d42O3Q7oVRcH4+HhX1x12Xv0dZ6jkXwyVyNfszElqFtooioJ0Og1RFBEIBJBIJHDp0qW+v3ri5Uog4Ob6vBp6GV87J8qoK5WK+fMQCoWwtLSEU6dOdT03y2sBjlsBnN95bVi3H5x892W8/u0nB72MgfHS44rbjF23/MKrTzjd5Mf7DHS+410gEEA4HMYgYjen5inV83OlkheHdAOcqeRn/nv0Jd8zgiRjGGK5XDa3Gw4Gg03nJYXDYZTLZQBvzEl65plncOXKFZTLZayvr+PixYtYWloayB+5YDDY1at0P1y9iPJ//z9dWFEtL4deva5N13Vks1k8++yzePrpp1GpVHDhwgVsbGxgYWGh6yczRoDjJV5cE9Va+9jbez5G/P4HHFgJkTewUmn0+S04NKiq2vE5p/7Fz7S8fOVDjX87nv3Lx9set9WQbidVD+kGGCp58b4bIz/If7z300jkEk3TGuYk2Rm4HQ6HUSgU8MILLyCbzWJ2dnZo25l+uHqx5v9P/5d/Av7LzTkmb/23p125zVAohGKx6Mqxe9VtUHJwcGC2t83MzODkyZOYnp527OfBWJeXThyCwaBZ1Uf2HL737r7dVj/awVrpdge4UaKeuwtChzvAzd+zgc0neh/A3SmvVUC6zW/314+hUqcVO6NGUZS+3+/nvtJ5m1u3O7+9/K1ftrw88InPQrl61VPnR/3kxUolo8Wyk9mzNHr8+ZtIvtFuTlInZFlGKpXC9evXEQgEsLq6itXVVc+esDU7ea4PkvptVCqV6tsdl5aWcPnyZVdO6rxYFeTFNTXj5lylyf/lYyj8P1925djDauI97xv0Eogs+TFU8tP9BfwZpAH9DdO8tPMb4O9KJS/vfOe3xx66yZ+/iTTS7MxJakZRFGQyGSSTSWiahkQigTNnzmBrawtHjx51c/k9qa9s+e7E+bbXiS017kBWHUA5Vbk0zKGSruvI5XJIJpMoFApYWFjA+vo6YrGYq+vyYoAjCAIrlVzCuUo3DfsOcBMf+eigl9CW30IWP95fv1Xt+LlSyU6wcuWR77i4Gvu6HdJdKpU82wLWD16sVJIkCWNjY4NeBg2IP38TaeQYu36oqloTDtgJkuqDg6iaeSoAACAASURBVPn5eaytrZk7S+zv75szlbzKGCb+vZk7Or6OlCzV/L86iLIKnLrl5VCpWXhzcHBg7uY3PT2N48ePY2Zmpm9PTrwYKgWDQc+ticgJb/rEBwa9hAZzn/y9QS9hJPgtVFJV1Vf3F+BMJSf8/M/faFm2u/Nbv73wwgsoFov4yU9+gmg0ilgshrGxsZq3oxw4VSoVzwU429vbnKfkY6P720a+0OucJAAoFAoQRRFbW1s4dOhQ0+AgEol4dvcy4I0w6IcOHlNKlhqqnd6x//OujhUOhz0bKlUHXoqiYHNzE8lk0tzN76677hrIyYkXQyUvrokahd7zfij/o7eqp/j9D6D49X90aEXuUy/+GoSnv+fqbRy6923Yeby7bbOdop3dQPD53uYv+S1k8VtrlN8GkwPw7a6kqqoiGrX3AuDp954CAORv7LqxJFfUD+m+7bbbcOXKFVy8eBHlchmSJEGSJOzv72NrawuSJJk/E2NjYw2B09jY2FD/vFQqFUxOTg56GTWy2Sx3fvMxhko0dJyYk1QqlZBKpZBKpRCNRpFIJHD69OmWx/BipU0n7W1u3GY3wZIXv34GQRCwu7uLq1evIp/PY35+HufOnTOr1Aa5Lq8FOMPW/tbJXKX5eza6OvYozlWKvv1djh3LzrDuXnebC723uyqjk+++jNe//WRPt+1lwqOPQH3w4UEvY+AYoo0+tr/1ZuVDb6+pVOpUq53fzv+Be3P2ql9IjkajiEajmJmZafg8TdMgyzIkSYIsy9jZ2YEoiiiVStA0DaFQyAyaqkOnSCTi6ccML7a/bW9vY3Z2dtDLoAFhqERDwZiTZIRJgP05SaqqIpPJQBRFVCoVLC4uYmNjo+NdCoLBoPlHbNAGESb1KhAIeObrZ5AkCaIo4saNGxAEAWfPnsXa2ppnTiS8GMSx/a2/Trzr0qCXQCPIa4/FbmOoNPr8Gip1er/1L37G1XX84q/7W8HZabtjMBjE+Ph40xcJFUUxq5xkWUY+n4csyyiVbo6GiEajlqHToFvrvDhPant7m5VKPuatn0aiKtVzkrptb9N13XxVIp/PY25uDqurq5iYmHBz6a4YxiDJi1RVNdvbdF1HIpHA2toaMpkMDh8+POjl1fBqpZLX1jRKOKyb+sVPIQtDpdHnx/sM2A/TjNY3u7rd+e2Vv/vnppdNH2usLOqUUxVaoVAIk5OTlq1kuq6brXWyLJutdbIsQ1EUBINBc55Tv1vrvFiplM1mPb2ZEbmLoRJ5TrM5SXYeoIvFIkRRRCaTwdTUlBkcOHFS2c8TF68GSfXrOnrXIZx/7F8GtJr2dF1HPp/HjRs3kM/ncfTo0Zoh7Ht7e56rCAJuBjhem+MVDAY9+bVqpZMWOPKWYd8BzqCeuwvC1ac6+tz5ezaw+URvs5KsXLt2zXzSE4vFzCcifgpZGCqNPicHVg8Tp8IVK8/+5eOuHNcJbt5vQ3VrnRWr1rpUKgVZlhta66qrnZxorfNiZV42m8Xa2tqgl0ED4r9HX/IkJ+YklctlpNNppFIpCIKARCKBy5cvO/qgawyb7rRlrhteDZKaOXrXoY4/NxAI9PVkV5ZliKKIdDqNiYkJLC0tWYaLoVDIk9U3giBAluVBL6OGIAie3wWxn7w8V8mPw7qpUSwWgyRJyOVykCTJDIXL5TJeeeWVmsApGo2OZBjhx1DJbwGLH4M0wJ1wodXOb899pf8bFdQP6Qb6Eyq102lrnRE8FQoFSJKEcrkMXdcRiUQsq5w6rUDy2mNaNpvl7m8+5q+/OOQp1XOSFEXBM888gzvuuMNWe5umadja2oIoipBlGQsLC7jtttts74TRqXA4jHK57EqoNOxh0s9//T+0rVYyZgS5GcoZs7OSySRUVUUikcDFixdb/pH24uwiwJutZl5cE5GhHzvAtTLxkY86dqy5T/6eI8eZn59v+JgkSXjhhRdw6NAhSJKEbDYLWZYhyzJ0XUc4HK4Jm4x/g34S1y2/BQ6apnnuCafbvFi50Q927vfO86+6vJo39DKk++Vv/bLl5YFPfBZKNuv5x6NOWuuMwKlYLCKbzZrBfyAQsNyxzsu71rH9zd+8/dtII6fZnKRgMIhSqdTRSZDRyiSKInK5HI4cOYKVlZW+bK0ZiUQcbUcatiCpWuapnZr/V4dMzQImtyq9dF3H3t4ekskkcrkcjh49ijNnziAej3d0fUEQGCp1aNh2fxtGozRXyc4OcMPi0L1vw87j/X+13kmBQAChUMhypx5d11GpVMzhtfVPdowtuqvDJuPJjleDDD9WKvktYDG2j/cbXdd7vt9u7PzmNi9UKvWiurVuenq64XKjtc4InXZ3d82qJ03TIEkSnn/++YYh4tFodGCPddvb2wyVfGx4fxtpqHQ6J6nVid/BwQFSqRQ2NzcRj8extLSEM2fO9PXBMxwO9xwqDXOQ1ErmqR3zvs2cm8BPLr8Fdz75o5rPCYVCjoZypVIJoigilUphfHwcx44d6+pnwks7+1XzYqg0rLu/ca4SNXPy3ZchLB0b9DJs0c5uIPi88/OXgJt/myORCCKRiOWTHVVVa+aIbG9vQ5IklEqlhpYOr+yW5MdQyU/3F/BnkNYpq53f8jd2B7AS5wx7qNROq9Y6SZLw0ksv4cSJE+bjcCaTsWytq692cnO4d7FYHMqNkMgZo/vbSANnd06S8QS6+o+EoihIp9MQRRGBQACJRAKXLl0a2B+SXkKlUQ2Tqs2cq/1jUh8sOdFmpmma2d5WqVQ6am9rx6sn316soPJi0DVoXp6r1C8T7+m+1YHcJTz6CNQHH675WC8hiyAIiMfjlpWg9VVOxm5JkiSZlST1YZMxy8nNx2G/hUpOVK8MG7+2v/VDtzu/tdLLzm/Azd3PYrGYQ6sZLpVKBZFIBBMTE5YhTv3j8MHBgWVrXX2V09jYWNe/Q9UFA+RPDJXIUdVzkownnsaMpHYPNJFIBOVyGcFgENlsFslkEgcHB1hYWMD6+ron/njYDZX8ECQBjWFSM72ESnt7e7hx4wZyuRzm5uawuro68q+IeHGAeD8qlXRdRzabxaFv/9+u3o4fDPOw7k53gAu99wN9WA11wk6VkyRJZuBUKpUAwNyeu769rtewwG+hkt9mSAH+vM9erLB2mtWQbmD0K5VaqVQqLV9Ibfc4rGkaSqWSWeVU31onCEJD4NQu/DdeNPDT4yzV8udvIzmq2ZwkOwO3jWO8/PLLKBQKmJ2dxfLyMqampjz1ABUOh1EsFlt+jl+CpGq7V/ebXvaTy28BANz55I9sh0rlctlsbxsbG8OxY8dw6623+ubE0YtVQW7OVJIkCclkEpubm5iZmUHn+wrSMIvf/8Cgl+Aq9dxdEK4+1dHnzt+zgc0n3GlrqzaokKVdlVO5XDYDp0KhgEwmA1mWzSqU+rCp0+25/dYO5seAxY+VSm58n1vt/NbML/66/zPmFEVxtZXLy9qFSu1UV4xaURSlpsV5a2sLsizXtDj/wz/8AwRBwPLyMk6dOoUjR45gZqa36jMrf/Znf4a/+Iu/QCAQwPr6Or70pS9hbGzM8duh3jFUoq7pug5FUdrOSWpFlmWkUimkUimoqmpWJXn1ZKjVoG4/hkmd2L26b85YWviHv28bKhk7+iWTSZRKJSQSCWxsbLi6Yxxw82fXayfiXg2VnFyT0c5448YNaJqGpaUlXL58+ebt/MzZ6phhmqvUy7Bu7eKvObuYHvV7WPegd4Cj7lQPrrV6cqKqqhk4Vc8Qqa9yqp/nJAiC79rBvPa3rB/8GCrVj4xw0rN/+XjLy1sN6TZ2fnvl7/7Z0TVV83OlktuBWigUatta9573vAcvvPACXn75ZTz22GO4du0abty4gTvvvBMnTpzA8vIylpeX8aY3vQnLy8u45ZZbbHecJJNJfOELX8Dzzz+PWCyGD37wg/jbv/1bPPTQQw7dU3KSP38bqWvN5iTZqUpSFMWciaNpmjkTJ5lMIhwOe/pEqL79jUFSc1YtcXNf/6+48U7rbbILhQJu3LiBbDaLI0eO4PTp033Z0c9gVFG5HV7Z4cUB4k5VKlV/v+fm5mzt1udF7eYqHb73btvHPPGuS70sybbo29/V19uj5uY+af046ZRhbAcTBKHlE53qdo69vT1sbm5CkiRzp6QXX3wR4+PjGBsbM992UuU0jPwYKvnxPiuK0nOQtvKhtzu0mv7yc6hUqVQGNv7BaK1761vfire+9a3mx7///e/jG9/4Br7whS/g+vXreO211/Dqq6/ihz/8Ib761a/itddegyzLOHToEB577DFbzxklSUI4HMbBwQESiYRbd4165M/fRuqKoihmoGI3SNJ1HblcDslkEoVCAfPz81hbW6vZ1cCYqeRl4XAY23d/FN8d9EKG1HNf/hdMvv0h8//lchmpVAqiKGJsbAxLS0tYXV0dyImhF0MlL+plppKiKEilUmaAfOzYMce/39ranY4dqxn13F2u34aTnJirNOrypy5h+pdXOv78Q/e+DTuP17Z8THzko04vizpUPXjWypUrV3DixAmzpSOdTps7JRkVUvWznHoZWjtofgxY/FaNBtirztp5/lXz/fn/eD/y/9dXOrpe9ZDu577iTJvbmz/1u9j8f7/e9vOazVMCGCp5rfXPeIEwFAqZVUpvf3tjYClJUsfPHZeWlvDwww/jxIkTiMVieOc734l3vvOdTi+dHOLP30bqmp0gCbhZjSCKIra2tnDo0CEcP34cMzMzlscIh8PY328+m2eQWJFkX7M5S5E/+CR+UqxA+G//FbIsY3FxsS/tbe14sdXMi+y+qq/rOnZ3d3Hjxg0UCgUsLCzgtttuY0/8kPH6sG6yx2sVkG4LBAKYnJy0rH6trnKSJAn5fB7pdNocWhsKhSxnOYXDYc9WOfkxVPKjToIV/Yuf6dNqnPHyt37Z8vLAJz4LwJ8hoqFSqXguUNve3saRI0fafp6dFridnR187Wtfw2uvvYaZmRk8+OCD+OpXv4rf+Z3f6WWp5BJv/USSp3UaKJVKJXNOUjQaRSKRwOnTp9s++HuxUolhkjsi8TBuOXUKU1NTg16KqZed6ahRqVQyh6xPTEzg2LFjOHTo0MCfhA3TXKVQ4hgU8caglzHy9u95/6CXUGP+ng100mCqnd1A8Pnuh3oP+nfRK6qrnA4datwewGi/qA6drKqc6mc5DfIJr98Gk/tVt3OkXqqrUvr5n/dv5p1T/BaMV/NqpdL6+rqjx/zud7+L5eVlzM3NAQDe//7340c/+hFDJY9iqEQda3WCoqoqMpkMRFFEpVLpqvrEa6ESAyXnHL2r8UT92v98P84/9i8DWI01L4dKwzL/RNM0bG9v1wxZv3jxoudOftzSbq6SXXsrd2GcoRI5YDOzjfmj7V9FpkahUKhplVP11tySJGF3dxepVKqmyskqcHK7ysnPVRx+4vRw8m52fqtnDOlupZPWN2rOizvf5XK5jiqV7Dhx4gSefPJJHBwcIBaL4bHHHsOdd7o/4oC6w1CJOlZ/AqTrOnZ2diCKIvL5PObm5rC6utr18Lj6IdiD9o79n1t+/Mc//jGKv/G/9nk1wy3z1A7+f/beNDiO+zz3fWYfDFZiJ2ZAigBBEARXgSRISqYlOQ4lS/KqnEh2EsXHihKnTlnWTe6HW3bVsRJXxZUb21F8bnyO4mNZRzmW7MRHsRYvpViWGVPURsoUFy3cJEzPYHbMAIPpWXq67we4m7Ovvfwb/f9VoQqY6el+BzM90/308z4vUFlcIgVS29/EukizOheSSqXAMAxCoRD6+/sxSZgLjaI9Rp8Al985D8u5V7QuQ0IvQjXp1BvNncvlpBwnlmWxtLQElmWRy+Ukh1Sh2CSXy4m2vxkDrXKFak1+U4N8Pm/o9zeJ+3ckEpEcRXIxPz+Pu+66C9dffz2sViv27duH+++/X9ZtUOSD3LMUCrGsrq7C7/cjFAqhp6cHY2NjmJ2dbfsA1Wq1EnlSX4rNZsMHoq/B4XBUvJ86nKojiksi/961G7c8ei/Mv/cXGlV0DVKdSqSKSvl8HsFgED6fDwDg8XgwOTmpi2BbPbXAycV6Deu2fuQurUugUKpis9lgs9kacjmJF+nS6TQEQYDNZqua5dQIRhINjdrul8/n28qj1GLymxwh3SQeExmdWCyG4eFh2df70EMP4aGHHpJ9vRT5oXskpWEEQcCrr74Ks9mMsbExHDp0SBcnkHIjOqqqiUrVHE4AFZxK2XRsDJeefB7bCBGVSHLKiZDmoFpeXkY6ncbJkycrTnGkyEvq6KfgOv4jrcsAUD2su+u2+u0OekCOCXByEPzAZzAUviD7eguhTiXtqeVyEgShLMspFouBZVlwHFfmchJ/HA4HcQ4GNTCqc6WV9rdWJ79V4/z35f8MrAeJQdVqQaqAGovFMDAwoHUZFA0x5h5JaQmz2SxZEJWE9IPddtr0qOC0JiSRiMViQTqd1rqMMkgQlXK5HPx+P/x+P5xOJ+x2Ow4ePKj5xD45GDk6J+v65M5VWu903vnxusvoYQJc1z1/pHUJlHWEyWSSXE6VWol5ni9qqxMFJ9HlxLIs3n777TLRab2eiPM8b8iLnPXa31qd/Hbmu79stSSJSz94oe11VIPETCG1IPG5C4JA3WMUKipRmsNmsyk6cUEUbEg+WbXZbIoEihtFcFr4ub/ob1JEJlLb37SqSxAExGIxMAyD1dXVovD9U6dOGXryCoWiJ/wf/OOy20i/eEOpjdlshsvlqugSFV3lGzduBMuySKVSiEajksvJbDZXzXLS63tC7sBqvdDo8166cEWFahoL6ZYDrbKkSIBkl5ZePz8o8kDmu5JCLCaTSdGTSXECHMmikt1uV71NqpbgBOhbdFr4uR8LXbvrPkelsVgsRIpKajuV0uk0fD4fAoEAent7sXnzZvT29hYdLJjNZs3dU+1Cc5XUR+2wbiPA75iD+cIprcugEITJZILZbEZvby96e3vL7ud5XnI1sSwrCU6ZTAaCIMBut5cJTqS7nEgMLlYDOcW0epPfzj6+1uamdUg3QEUl0pxKq6ur6Ozs1LoMisYYc4+kEIsoKpGMzWZDJpPRuowiCgWZbDaLM2fO4MCBAwD0LTipCalB8WqISjzPIxwOg2EYcBwHt9uN+fn5qgdtJLTkGQmScpX0RCMT4JJHP6lOMYRBnUrGxWw2o7Ozs+JJoCAIyOVyUlvd6uoqIpEIWJaVcotKxSYxy0nL95NRnUqtiCvvluQpvfmP6gn92x74w5r3X/zJZQC1Q7oBKiqRJipFIhGap0ShohKlOZQ+aNDCBdQsNpsNyWRS6zKqUpr5RGJbXYfbAdaXwe4/2Yn4QqysJU4LSG1/U1LASSaTYBgGkUgEg4ODmJ6eRldXV93Hmc1m8DyvSE3rAS1zlfgDN7X0OMctxxparlpYN6U++Z3zsJx7RbPtB0MRjAwParZ9ijq04yY3mUyw2+2w2+0VXU75fL4oyykcDiOdTksuJ4fDUSY4OZ1OxQUAo4pK7TxvLSa/tYvpc2tTwDiOg9Pp1LgabSBRVIpGoxgcpN8tRoeKShSiUCqvSE5Ir7EZ4e+m+GlpLLzJZMLY2BhGRkbAf/crOP5/Pa1glWvC0sWfXJR+PzF9ADe885qi26wFqe4bueviOA6BQAA+nw9WqxVutxvbtm1rqnWA1P9Vswzdfx/w9htal0FpALXCupudACc3wQ98BgAQHtqh6AQ4IzmVjJb/puRra7FYarqcstmsJDitrKwgHA6XuZxKf+x2e9v10va3xpB78lsrBH/0TNvrMLJTieM44iJCwuEwhoaGtC6DojHG3CMpLaOGU2l1dVXRbbSLHtxUtRAEAfF4HAzDYHl5GSMjI9i5c2dR4GcWwNFvfFT6+7Wvr53MTX1kCgDw5j+da3q7HW5He4UrDMlOpXbfb4IgIJFIgGEYJBIJjI6OYs+ePS1f6VsvohKF0i4bbv4Aln6p/kjtRqkU0m00jCSgAdoJLCaTCQ6HAw6HA319fWX35/P5oiynUCgkZTkBgMPhKHM4dXR0NCSaGNWpBJATjqxWSDdgbFEpl8sRl19EnUoUgIpKFMKw2+1YWlrSuoyalLaXkUrpgTTLsvD7/QgEAujp6YHb7cbOnTtbOiDZ/Sc7pd/jC7Gi+wpb2UgXkgoxm81EXtG2WCxIp9MtPTabzcLv98Pv96OzsxMejwezs7NtH4RaLBba/qZT1lNYt/Ujd8mynnbpuuePtC6haUj8rFMKKiqRgcViQVdXV8UW61KX0/LyMoLBINLptCQYVcpyEl1OohOKcg3hf/7XhpetF9JNGkYXlUhrf4tEIvB4PFqXQdEYY+6RlJZR+sBMD4INqY6WQsQazWaz1N4mCALGxsZqBjDLwaZjY0jH2aLbZu45ijPf+QUyS2S/tiTS7FQ6QRAQiUTg8/nAsizGxsawf/9+We3S62H6m9IU5ir133xj2+sjKayb5iqtD4witFBRiXzquZw4jivKclpeXpaynEwmE3iel77jCp1ORnUvFbJ04UpTy5/57i+r3lc6+e389xt3adYL6RapF9INUFGJtOcei8Wwd+9ercugaAxZ70oK8ajR/kZyXhFA/oG4IAgQBAEXLlxAMpnE8PAwZmdni9rbWuXiTy5KLXC12PlnH8W5/16eyeTYUHx1xd659rezrwPhc9G261uPNDqVLpVKwefzIRQKoa+vD1u2bKkYtCoHarW/Ld78x9j4y+8puo3Qjfdg+NdPKLqN9UzXbeq1PLRCIxPgKOsbKirpH6vVWtPldOXKFZhMJlgsFiQSCQSDQbAsC57nJZdT6Y/NZtP1+4Jkt+GlH7yg6PpJFFbUgkSnUjQapZlKFCoqUchCD04lUkmn01J7Wy6Xw9jYGHbv3k30QVN2NScJS6RA2glILQGH53kEg0EwDANBEODxeHDo0CHFr86azWbi3XpKkd85r8p2lreqsx0t6bzz400tr1ZYt5IoMQGO3zEH84VTTT2GtM85JVmPIkstjPZ8TSYTzGYzurq6Kp7YchwnOZzS6TQSiQRYlkU2m5UcUpWynEj/Hyo5+a00pPvs42TlxolioREh0aUVjUYxPDysdRkUjSHrXUkhHqUPQknNtSlF7OHX+kstn88jFArB5/Mhn89jbGwMBw8exKVLl+ByuWR7vQ78xTEprLsV3nrieEPLaT0Bzmw2E3ewUklUWllZAcMw0hf5jh07VA1utFgsxDsKSaCwBY4ktM5VIoXk0U9WvF3rCXBKEgxFMDJsrEBVIwlowNoJt5GeL1BbYLFareju7kZ3d3fZfTzPI5PJSIJTPB6Xfud5HlartUhscrlccDqdRLic8vl8U+LCyKfuxLslk9/e/Ed58u0o6qL1e6+USCRCnUoUKipRmsdkMulC+FEScQKcFuKDIAhYXl6Gz+dDLBbD8PAwZmZmikQFNXOf+jb1l4V1X3ry+ZqP2XXvB3H2sV8V3cb6MpoHe4v/NxJFJY7jpNBtu90Oj8eD6elpTa6mqtH+xvh8AGgLXCEk5Sq1g5xh3SSwuGEHNi5daHs9wQ98pujv8NAODIVbX2+tyW9GElqM9FwBY7o4Wn3OZrNZEo0qkcvlirKcRNEpl8vBZDJJrqbCAHGn06nK97JSxyqlLqVGkGvyWyN5SkaG1HMvlmWJm0hHUR8qKlGIQwwBJvmgSGzTa3UkeytkMhn4/X4sLi7C5XLB4/FgZmam4sFyu22E9vu/iuwjX26n3DL23PchnPnOLyreVxrsrRWiqORwkDG1ThQQE4kEXn31VYyOjmLfvn2a10fq9Dd+dr/WJRgGGtZN0QtGFJWM9HwBKDb9zWazwWaz1XU5sSyLpaUl+P1+pNNpCIIAm81WNq2uo6MDVqtVlten1nGyEpPfSkO6m6HRkO5amD73EADjtXcWQqJgTKrQRVEfKipRmkZpp5IY1l3tyhEJqJX9xPO81N4m5iQdOHCgbkifzWZDJpNRvL5WKXUpAWtT47QO61YrgLoemUwGPp8PgUAAXV1dsNlsOHz4MDEnCnT6W+PIMfltPdJ12x1Q61BUybDuhZnbFVmv0hhJaDHScwXWnq/RTrq1uBDZiMtJFJxYlkUsFkM6nS5zORX+OByOhl87ErN16hH80TNtr0OPz1suSAzpFh1zRvqMpVTGmHslhWiMLioJgiBl5sRiMQwNDWF6erri1JNqWK1WrK6uKlJfo1SbAEcyarYNlsLzPCKRCBiGQTabhdvtxsGDB2G1WvHSSy8R9YVNivimB3Jjk7D5L2tdRhmFuUqOW461tI7OOz8OGDSwnaIfjObcMaKTg0QHh+hy6unpKbuP53mprS6dTiMWi0m/iy6nUsFJzHISId3RrxRGF5VIe+6xWAz9/f1al0EhALLemRRdoPTBmR4mwNlsNtmDirPZrNTe1tHRAbfbje3bt7d0cKjE/7DdsO5qkDQBTgtRaXV1FQzDIBwOY2BgAFNTUxWt9iQhBpqrBc1VukatXCX+wE3qFqMB4gQ460fu0roUXWOklgWjOXeMKCop1f6mFGazGS6XCy6Xq+w+QRCKspxSqRSi0ShYlgXHcTCbzXA6ndJzjsViVV1OSxeulK2/cPKbGq1vcmN0UYk0pxIN6aaIGHOvpBCN6FQiGZvNhnQ63fZ6eJ5HOByGz+dDNpvFxo0bMTc3B7vd3nZ9SglzF39yEVMfmSq6rVJYtx5Ry4GTz+cRCATg8/lgNpvhdrsxNTWlm4Ni6lSirHeUnACX3zkPy7lXZF0nv2MO5gunmnqMUdw7Rmt/M6qotF5cOyaTCXa7HXa7vabLyev1guM4SXDKZDIQBAF2ux17Sh4z8qk7G9o2n2v8otr57/8HgPoh3Y3mKW3YMdHQclRUIktUikajGBw01kRRSmWMuVdS2kLpgzM9iEp2ux0rKystP75wJPzg4KDs7hQt27gapdIEOAA4MX0AN7zzmgYVKft/VDC6AAAAIABJREFUE0O3GYZBPB7H8PAwdu3aRXSbZzXWi6gUGdyudQmUdUK7E+BKJ7+JtDoBrtbkN6NBRaX1j5FeY9Hl5HQ64XQ6MTIyIt0nupxw6qmyx7378OOq1HfpBy8oun4qKpElKlGnEkXEWN86FFmg7W+t1ZjNZvH+++/j5MmTuHTpEgYGBnDkyBFs375d9nYnEv+Hbz1xHHvu+1DNZViftuHiFotFdlFJfN1ffvllXL16FSMjIzhy5AimpqaaEpRIaldRu/0NWGuBU5rQjfcost6F2cauEjdK6uinZF1fqzAjB1p+7IL7SMuPbSUDKl/SGpg8+smWt693gqGIoU7CjfRcAWOKSoBxnHciYkByISaTCaF4Yy76fDzR0HJmG1kCDom5QmrBcRyRohJ1KlEA6lSiEIgenEqNijZi+LLP50M6nZatva0eJIx8v/Tk802FdafjrMIV1cdqtYJl269DEATEYjEwDIPV1VWMjY219bqLziBSDqTWi1PJ6BSGdVOMBUkitdIYUVQy0vMFjPV+Fql2TOB+5usaVKMeHMfB4XBoXYYmkOhUisVi2Lt3r9ZlUAiAjDMUiq6g7W/1g7qTySR8Pp8Uvjw5OVmxN55k7Pd/FdlHvlx0m1Jh3SKbjo0hfC6q2Prr0W77G8uy8Pl8CAaD6O3txebNm9Hb29v2PiPWRYqoZLQTlvVMq5Pf5MA7chDjQWVyi9RgYeZ2rUtoC6Psx0Zz7pA4CY0iP63kSBWGdOsVjuOamoa8niBRVKLtbxQR43zLUnSDHkQlq9Va5tTI5XJYWFjAyy+/jHfeeQd9fX04cuQIZmZmdCcotcLUA/c2tXylPCWtacWBw/M8AoEAXn/9dbz55ptwOp2Yn5/Hzp070dfXJ8uJG3UGraHHFrjFDTsAyN8CRwpe92GtS1CMxORBrUugyAB1Kq1/jPZ8gcrtb2qjVki36XMPSb+TdIFNbUgUlWhQN0XEmHslpS2U/vLWwwm0+D8QBEFqb0ulUti4cSP27dtHhDXXbDbrZiJKdjUHe6f2X5TNOJWSySQYhpGu0mzfvl2xq2d62Cco8rG8db7uMqmjn4Lr+I9UqIaiBEpOgGskpNtIQouRniuw9nyN5swyIvVa4pcuXAHQ+OQ3pQn+6BlZ1mN0UYm05x6NRjE8PKx1GRQCIOudSdENJpNJsR52PRz8JZNJpNNpnDhxAv39/diyZQt6enqIql0USEgWlapNgNOKeqISx3EIBALw+XywWq3weDzYtm2b4gfwVFSiKEXe0QlLZlXrMpri6vARbFo+q3UZZbQ6Aa7a5DeKPBhNVKLtfsZALxcN5eDChQvo6OhAR0cHWJYFz/OG268BMt/r8Xgc/f39WpdBIQAqKlGIhbQvjFwuh0AgAL/fD6vVCqvVivn5eeKsqCJimLgSrqmLP7mIqY9MFd0Wfqqxq1B77vsQznznFzWXOTF9ADe881rL9bVKJfFGEATE43EwDIPl5WWMjo5iz549cDqdmtZlVBZv/mNs/OX3FN1G6MZ7MPzrJ8puz++s7yCikEv+wE2wvPai1mU0TXhoB4bCzYtVtSDt+1VJjPRcASoqGYVKrzMTWoa71fXlGs+TPP/9/2hxK60xPj6OdDoNlmWRTqdx6dIl5HI5mEwmOBwOSXDq6OiA0+lER0eHofYBrRAEwbD7H6UcKipRWkJJpxJwTRBRekpaPQRBQDQahc/nw+rqapGgcOrUKeTzeeJFJbk58BfHEH/rSsPLNzsBbmjngGZh3YVOpUwmA7/fj8XFRXR1dcHtdmPnzp2anJyQKCqZTCbDnby0y8Lsndh0Xp4WALlY6N2DLaGX2lqH130Y476TrT22xbDuhZ5dLbuVkkc/2dLj9AC/Y66h5SxWO/hsY6PH9Q4VldY3+XzeUM+3kEbf1+8+/LjClbRO759/EXix9jFid3c3uru7AQDBYBB79+6VzkPS6bQkOMXjcUl44nkeVqu1SGgSf2w2m+4+E0j8HBPPA0mri6INVFSiEInWotLq6ir8fj9CoRD6+voqTvESa1TTsdIM7U4yU4K3njiOmXuOal1GTXK5HN544w2k02m43W4cOHBAc+GQRFFJrMmoB/MkoNdcpQX3Ea1LoMA4JwJGE1mM9nyN1AZWD/czX696X+Hkt3w80dD6zLbKp4nVArov/eAF6fdGQ7pbQfzsMplMklC0YcOGsuVyuZwkOBWKTqLLyel0lglOTqeTyP2HxCypZDIpiX0UClnvTopuUPpgVJwA19nZqeh2CinMy7FYLBgbG8OhQ4eqHqzYbDaip9Qp5VSqxdQD9+Liw49Jf1968nlsvfvDqtbQCqlUCj6fD8FgEBzHYXJykqiJfRaLhTiB0GKxaBaQqkYLnN7gD9zU8mOvDh9p262kF/JN/p8SkwfRe7ncSbUwc7tMFclLYGiX1iUQhxGDq432fKmoVAx/00eBC38v/V0oKBkJm80Gm81WUfjgeR6ZTEYSnJaWlrC4uFjmcir9sVqtmgjyJE5+i0QidPIbRYKKShQiEUUlpREEAbFYDD6fDysrK03l5djtdtVFm2aQQ1Sy3/9VZB/5skwV1WbmnqN464njqmwLWLu6GQwG4fP5AAButxuHDx/GK6+8QpSgBKy5zjKZjNZlFCFOF1yvVMtVahcSW+BagRk5oHUJRNJMWLfWGV3xeLzo6vx6dS6R2DaiJEYTlYzomOV5vqH3NCmT3+Si0efdCGazWfr8q0Qul5MEJ1F0KnU5lTqclHQ5kSgqRaNRKipRJKioRGkJpQ/QlHbZpFIp+P1+BINB9Pb2Ynx8HH19fU09Ly2cQM1AohBRytnHfiVNgDvznV/A3qn8F+by8jIYhkEsFsPIyAhmZ2fhcrmKliHtJITk9jetoG6l9YMWuUqkENmwVdb1BTNDGHGEG14+Go2CZVlkMhkIglAWeiueLOnZCULa57nSyHnirQeM2P5mxOcMQNWJxqLLqdJFRp7ni4LDY7GY9LsgCLDZbBXDw9sRhXK5HHHtb+FwmIpKFAmy3p0U3aBG+xvLsrKuk+M4yZliMpngdrsxPz/f8oe0zWaTvUY5UVL06puZaCusu5EJcHKSy+WwuLgIv98Ph8MBj8eDmZmZiu9jUSwh6ctbawGnEmazWbP2t0rws/u1LkETSMlVaiesuxmuDhszj0mJCXAbNmzA2NiY9LcgCMhms9KV+eXlZQSDQWmEd2E7iMvlKmoHIRkjikpGcu4Y7fkClfN1Cie/Jf7x78sfRCC9f/5FmOuEdJs+95D0O8dxRLh1zGYzXC5X2QVJYO3zhuM46XM0lUpJ4j3HcUU5UIVuJ4fDUfN9TKpTaWhoSOsyKIRA9pEAxbDY7XYkEo0FCdZCEAQsLS3B5/NheXkZIyMj2LVrV1W7azPYbDZZalQKm81GXA5PM5yYPoAb3nmt5ceLrz3DMEgmk9i4cSP27dsHh8NR83FiwDlJJ0okikpK1sT8tiVRa5RqgSMRI+UqUdawWIsHYYjjuR0OB/r6+sqWL2wHKT1RKmwlKfyx2+2aCzpGE5WMliFlRNeO3M85eewP4Xr2UdnWVxrSHfyRPC3fpB2bVcJkMjXscmJZtswtarPZ4HK5ytrrSBHUColGo9i8ebPWZVAIgew9k0IsagV1twrLsvD7/QgEAujp6VFkHDzpmUpWq1X1+sJPPVMW1t0s6TiLoZ0DCJ+Ltvb4dBo+n0967ZttbSQ1FNtIolKj6LUFTu5cpXZCuo3GO50HsIm/3NRjqoV1k8aZHmXDeGudKOXz+aITpVAohFQqhWw2K4lVpS6nelfm5cJoThajiWhGe30B+UWlSoJS6o7Pouvnj8u2DTnQg6hUj3oup0LxfnV1VRKdUqkUrFYrotFomXjvcDg02ecjkQj27zemS5xSjr73TMq6pZXWrcLgZUEQMDY21lZ7mxI1qgmp9b31xHHM3HNU1nXyPI9wOAyGYcBxXFuvvdVq1VwsKYUEAacULae/yUFkcLvWJchGumMATrY1EZbSPHJOflvMjmCjPSjb+rTCYrGgs7Oz4sRWQRCKBKfS/BG73V7R5STXSbMeRZbkV/4UXV/5H2W3n/+dD2H235tvHT/evx9HY69LvwOQ/q5F5IHPYPDh/9309tQkn8/DbrfXX3AdUUlccT/zdQDXJr+JId18QF7nr6WvV9b1NcN6EJVqYTKZYLfbYbfb0dtb/H9+5513MDw8LMWDpNNpRCKRIpdTpc9Sp9Op2P8sFovRTCWKxPrdMymKQopTSRAExONx+Hw+JBIJDA8PVwxeVgJSRRsRsY1LTzQ7AW51dRUMw0hhgdu2bas4OrYZqFOpMdb79DeRdlrgFjfsaPoxy1u1nQjWDu3kKqkZ1r1gnmzardQMjU6AO9t5g2I1kERhhkgphVfmU6kUVlZWEAqFpBwni8VSMcepmTaQWqJS7uG/hO2Bv2v6OYnCTDWqCTYvXXdI+v3Iey/XXuZ715bllq99JxUKRJUofK616qx1X++Oa+Jgo6eMZ278oPT7nl//qsFHtQ9tf2vysXEyYht6//yLTT9mvYtKtcjlcnA4HHC5XFXF+2w2Kwn4yWQS4XAYLMtKExKrZTm1ek4XiUQwPDzc7lOjrBOMuWdSZMFkMkEQBEXWbTaba647nU5L7W1dXV1wu92YnZ1V9WokiSf6hSj9v2g0rPvSk89j690frrmMOAGuEcTAdYZhYLFY4PF4MDU1JZv9nUSnEokCoRLv/5WVFTAMg+4K7TXVoC1wbdTQu6fobzVylRbcxgzaVpNmJ8BpSa0r8wCKAm9Lx3rv+vfH8PYzZ9Hzz4/WbAUpFZXeOHwUK++krm3koWJxpZpgU09IanRZa09jh96FQlKztVS7NBN54DMNbTtxYbXqtnp3dBaJRoVikhYYsf1NjSlozba+XfrBCwDK85TkhOM4w7nSROoFdRdm4lX6LC1tURYFp2w2WzT5szTLqdb7jAZ1UwqhohJFN+TzeYRCIfh8PuTzeYyNjeHgwYOaXbXQm52+Vez3fxXZR77c9nqqTYA7+9ivsOvetYPSM9/5Beyd5V+agiAgkUiAYRgkEgmMjIxg9+7dsgSul2IUAadd5HIq5fN5BAIBMAwDq9WK8fFxZAl2AFIoWqHEBDgtOX3wAwCA61/9j6rLWK1WdHd3Sw7U0wc/gOSltamr4hiHlQO/Ly3f+8v/KbmcxZOklZUV2O12nJ2sfXFDpBnxqBVEsajSdqw91ppiUjvI9bwSF1aL1lXoatICozqVCo99Cye/NYvcId1KwnGcKp0IJNKuS6tei3Lh5E/RMZpOp6X96+WXX8bVq1cxMTGBrVu3Ynp6GtlsVvbj8Hg8jvvuuw/nzp2DyWTCd7/7XRw+fFjWbVCUgYpKlJZR0qkkrj+fzyOZTIJhGCwtLWF4eBgzMzMVPxS1gvS8Bi3qazesWySbzcLv92NxcREdHR3weDyKO9JIbH8j8f1lsVjaCtNfWVmB1+vF0tISRkZGsGfPHjidTgDNT3/jZ5U9CQzdeA8G4vVdeVqxYJkEuiaxLalOmDQzckCV7ZAE6WHdSod0y8Ebh9ey9IpcQmg846cRUSRx8+ek31kA8d/+nmy8TE1RSlBSAq3FJBGjikrVJtkm/vHv214/iSHdAIicgKYWSh7L15v8mc/n0dnZiTfeeANXrlzBD3/4QywsLMDr9WJubg5utxsTExOYmJjA5OQkJiYmsGXLlpYEpwceeAC33nor/vVf/xXZbBapVKr+gyhEQEUlCpFkMhlwHIeTJ0+iu7sbbrcbO3bsIO7kWnSQkNrjLbpu9PYlnI7/9kr0rhvg/vm/YG5uTjXLs9VqRSaTUWVbeqYV9xTHcQgEAvD5fLDZbBgfH8fMzEzb+3VweCdGQufaWocWkNACV0q7LXBK5ipdHaatc3ITDEUwMtx40OqF3/0dRF6Pl91eTxAqazmrgNIOIYo8kCImidD2N+OQy+WIPd5ez1gsFmzfvh3bt18bcJLNZnHs2DG8+uqr8Pv9uHLlCq5cuYJXXnkFTzzxBK5evQqWZdHV1YWnnnqqoUDv5eVlHD9+HN/73vcAQGqNpugDumdSWkZugYfneam9Tewd3rZtG/r7+2XdjpyIYd2kfsmJ9akpKoWfegZDn7iz7fUM7RxA+FwU1113XftFNYHVasXq6mr9BQ2O2WxuePrb8vKy5DYcHR0tciVRKO3SaFj3O53XHFathnU3Ovmt0bBuQN0JcO9sv7XstpEGpoDVzfChgtC6hzQxScSoTqVKx52lk99KCd/w++h/7hGlyysi+KPyCydiSLf5xafL7ivE9LmHiv42alA3icJpJBLBwMAAzGYzPB4PPB4Pjh4tn+y8srLScHfJlStXMDQ0hM9+9rM4c+YM5ubm8PDDDxPVnUKpjvH2TIpsyCEqCYIghfPGYjEMDQ1henoaXV1dePvttxVtr5MDUbRRIttHDpSeUNdoWLeeILH9jUTqOZVEVxLDMHA4HPB4PLK4krTibOcN2LV6QusyavJu10HVWuAo7aH25LdKYpIIFYQo1SBVSCpEnGxlJEqFNPczX6+4HB+o30reTJ5S7Pb7MXTiB1XvVzKkGzCuqKT2xeFGiEajGBgYqLtcMxOZOY7D6dOn8a1vfQvz8/N44IEH8LWvfQ1//dd/3U6pFJUw3p5JIYJMJoPFxUUpK8ftdmP79u1FBwZ2u72tzBY1UFq0aRfSQqfFsO63njiOmXuOSmHdwLUJcDP3HMVbT1SbXaM8JE5/A9ZEXJKuVlUTlZaXl+H1ehGPxzE6Ooq9e/eq4ko603ML9iy/oPh2KMYlMXlQ6xLKOHH7/1Px9iT0lc9DIYsdfzgNAPCdYjSupD48zxvOqSRX+1uzId21BCU1MKKACJApKkUiEdknv4mOp/n5eQDAXXfdha997WuyboOiHFRUorRMs44DnucRDofh8/mQzWaxcePGmlk5ehGVSK5RS9GrMKz70pPPY+vdjU3e0RrShDgRUcQh5YCqsP2N4zgsLi7C5/PB4XBgfHycyAw0EqG5SiWPrZOrtJ4JfvrT0u+bjkzi7P96s+j+ba/+uKEJcFRMorSKKCbpCZIutqhFYftbM5PfGml9S93x2TYqUx4jHleQKCpFo1HZRaXR0VGMj4/jnXfewfT0NH7xi19gx44dsm6DohxUVKIojtjeFo1GMTg4iKmpqYbskHa7HYlEQoUKW8dutxPtVLLZbEQKJCTTSgC1Goh1kXJgYbFYkE6nce7cOSQSCWzcuBH79u2rOpFGDZR2K+mhBY5kFtzKBW03mqtU9JgWc5WUJno6gejp02W3X9h+Lc/pg//x/5bdT8UkSqvoUUwqxGhCg9I5Us1Ofrv0g8a/d8U8JUrjkJjdGolEGgrfbpZvfetb+MxnPoNsNouJiQk8+mjjTjqKtpD1DqXoilpf4tlsFouLi/D7/XA6nXC73Zienm7qahLprWXAWo0khzrLNcnMfv9XkX3kyzJUVJmzj/0Ku+79IADgzHd+AXunTZoApzakO5W0huM4+P1+MAyDdDqNrVu3YnZ21nAH9aTSaK7SQu8eFaoxHhe3rzkyp95+HscPP1B2/8D1vZj9//6q7PZCwagRfvWB/7u1AimU36J3IcnICIJQ8XjaGbwMZ5WQbqVROk+J53nDHmeQ6lSamJiQfb179+7F66/XHx5BIQ8qKlFkg+d5RCIR+Hw+pNPpuu1t9dBL+xvJwpfNZkMymVR0G52ffxCr3/6mYus/MX0AN7zzmmLrL4UU8aYULesSBAGJRAIMwyCRSGBsbAx79+7F2bNnGwpqpNRGbIFb3jqvdSl1YUYO1F9IAa4Ot+dyKpz81irnuFmM20MV7xPFpHpETycqik0UilpQMWl9wt/0USBY3XnZ7uS3WiHdW3//lpbX2yjVJt4ZARIHAinR/kbRN8bcOymyIF4xSCaT8Pl8CIfDGBgYwOTkJHp6etpePxWV2odU102jDO0cQPhcVNVtknolTAtRKZfLSVlJLpcLHo9HciUJgkCM+BZID0u/k9ICt7hB3zkAWuYqkYrjD46gVFJKXCDXqUqhFKKWmHT9A3eCjG8GY1Bt8ls9kseUdRbJDYktYGrBcRyRTiUqKlEKMVayHUV2Tp8+jXfffRd9fX04cuQIZmZmZBGUAH0IIjSoG7C9+OOy28JPrQUPTz1wb9l9O//so0V/77nvQ9LvYgvczD1H5SxxXWCxWFTZHwRBQDwex9mzZ/Haa68hn89jbm4Oe/bswcDAgCS6KSW+Mb76I5DbJTK4XfFtNEurLqUFy2TZbe92kTelrBm8I63Vv9Czq+nHXLz7T3Dx7j9p6jGJC6vST9X1NuhcolCUZOD6XulnPSIIgtYlqI6Sz1npkO7CPCXzi0839VijO5VIFJWGh4frL0gxDMbcOymysXfvXsWmbpDqGClED0HdpNb31hPHqXjUBFarVVFnUC6Xg9/vh9/vh8vlwvj4ODZs2KCL/XA9EHcMoy9TubWKojy1hKWpJ/8JAHUlUfTDehWRSjHi5LfC51xr8hsfqH+BxvWssiHIwR+1PtnU9LmHiv4mUVhRCxKfeyKRQF9fn9ZlUAjCWJ/EFNlR46oByVeiCseqk4gcolIul8P7779fc5nOzz/Y1jZIw2QyEfe6KtH+JggClpaW8Oabb+K1116DIAiSK6m/v1+3gtKZHmXzHc523qDo+kmh3Ryj9cLFu/8Er+/+tNZlUCh1IcWVdOHCBVy9ehWBQACJRALZbFaRYzmlp6CRSKvPWak8JQAwj1aTtuSD4zjqVCIEQRCqhsVTjIsx906KbhBb4Ej6MC2E9JNus9nc0oGcIAiIxWJgGAarq6sYGxtru5ZLTz6PrXfroyVEFHBI+sKUU1TKZrOSK6mrqwvj4+Po6+sj/v1M0ReFuUoLbn0LVL07OgEA7jmPdNuFx9/RqhwKRaIREWn3529H8PgpxWu5/oG1yWObNm0Cy7JIpVKIx+NgWRa5XA4mkwlOpxMulwsdHR3Sj8PhaOn7x4iiUiVxhb/po1WWXqPdkG4SMLKoRNrxqCAIMJlM9JiRUoQx906KbCj9gSI6bUgVlUTED1i9k06n4fP5EAgE0Nvbi82bN6O3txcmkwlKJ0edfexXUqbSme/8AvZOG9JxFgAQevDTGP7m9xWu4BokipkWiwWZTKblx4uuJIZhkEwm4Xa7ceDAAaKeo5zIGdjtz22UZT31OJ+fxazlvCzrerfrILYlX5VlXVrgHTmI8aA89csx+a0StYKPqeBEURoSHEnV6OrqQldXV9ntPM8jnU6DZVmwLItIJAKWZZHJZCAIAhwOR5HYJP5UO6E2YvtbNSHNWWPyWym1Qrq7fv54S3UpDcdxLU+TXg+QdI6RSCRky8+lrB+oqERpC6U/5MQJcC6XS9HttIPoINHrFRSe5xEOh8EwDDiOg9vtxvz8fNnzsd//VWQf+XLT65964F5cfPixott2/tlHce6/Xwtp3HPfh3DmO7+o+PihnQO4+JOLGP5m05tuGS0mrdWj1ZoKXUnd3d2yupLENkGjHdQDjU+Bo7RPM214Cz27sGn5bEPLZv6Tsm2S1U76o6cTim6Xsr4hWUyqh9lshsvlqnhMJwgCstksUqkUWJZFIpFAIBBAOp0Gz/OwWq3o6OgocjlxHGdIp5ISz1nNkO5W4DiO6HMBpSDxonU0GsXg4KDWZVAIQ59nwRTDIIpKJCPWSKqoZDabK17ZSiaTYBgGkUgEg4ODmJ6ernhlUW123ftBnH3sV5i55yjeeuI4gDVhSU1InDzYjKgkupK8Xi9SqRTGxsYUcSVZLBbDikp6ZqF3T8PLXh0+gi2hlwAAzEjzjp/CFjjKGtVEgU1H1ib5vfHfTqtZDkUnXP+FOQDA+7++pHElymAymeBwOOBwOLBhw4ay+3O5nORwSqVSiEajWFlZQSaTQTKZLHI2icKTzWYj7oS8XcSLmExoGe5nvl5xmSuTt+G6wHdUqUeNPCXAuO1vJLZ4iucNFEohxts7KbKiRvsb6aISyRPWgGv1iSPpA4EAfD4frFYr3G43tm3bJoso0Pn5B7H6bWXsROFzUWxTZM2V0atTKZvNwufzYXFxEd3d3UXti0rWROqBnpwtcJVQwq1EW+CuIWcLnJ7Y91+ur3j72f/1JrhlssRuirKIQlI77P787TJUUh8xT0kpbDYbbDZbUdtNNBpFPB7HddddJwlOLMsiEAiAZVlks1kpx6m0pc7hcOjygojaIkPs9vtV25aI786/gKfkNqOKSiRGgEQiEQwNDWldBoUwjLd3UnSF3W5vK0dGDUgXlaxWK2KxGGKxGBKJBEZHR7Fnzx44nU7ZtmF78cfI3fSxotvCTz2DoU80fpAp5ilVgjqVqtckhqp7vV6wLKtqVpLogqO0jy+1fg/QvO7DWpdQkeu/cAdO/8OzDS9fGNJdD6ValKw9xYdt40dHpd+vPssosk2K+sghJmmJ5V/+Dvnf+0vFtyMKLBaLpWaOUyaTkQSnWCyGVCol5TjZ7fYyl5PT6STOHSLSSPvbdSeuuZTCN/y+0iWpAhWVyIG2v1EqYby9kyIramQqraysKLqNdiFVVBKzdKLRKLLZLCYmJjA7O0uUFfytJ45j5p6jWpdRBomiUqlTKZPJSK6k3t5ebNmyBT09Paq+viQ6ukpR2q1kBApb4NTGO3IQaHKAZTO5SuuJLXdUF72o4KQP9C4mqU0j7ddms1kSjEoRc5xEwWllZQWhUAgsyxblOJX+aHmSn8/nYbfbIR6h1Jv8VooY0u169lGZK6tOaZ6S+cWnqyxZnVwuR0UlQohEIpiamtK6DAphGG/vpOgKPWQqkSQqCYKASCQChmGQTqcxNjaGsbEx9Pf3Y2BAXbdPIWJY96Unn8fWuz8MoDysuxrpOAtnX/nBoJKQKJaI7Yvi6yu6kiqFqquF2WwGz/OabJsUKrXALW7Y0dZ5os0uAAAgAElEQVQ6G22BW7BM1l2GhBa4K8uj2NIT1GTbSk1+I4FCl1I9CgWnTccO4vxj14TWyOtxWeuiNIe1x4rdf9x4zhnlGu22ghXmOPX19ZXdz3FcUY5TLBYDy7LgOA5ms7morU7McbLb7Ype3BGfM9eE2N7/3CM171cipDv4o2dafqxnuHyyGM/zxLrHlIREUSkajeLwYTIdyBTtoKISpS3Umv5GMjabDclkUtMaUqkUfD4fgsEg+vv7MTExgd7etfaLq1evyua68d72IMZ/qkxuktlmBZ9bq3PPfR8quz/04Kcx/M3vK7LtUqxWK1iWVWVbjZDJZOD1ehGPxxEMBrFlyxbp9dUSEsU3ijK0EtItB5cSo7iuJ6LJto3C4P7yk2kRKjgpR2kroxK0m6fknvPAd6q+y03pPKVqiG4ipbBareju7kZ3d3fZffl8Hul0WhKdRIdTJpORxKpSh5PT6Ww7x0lqfys4rHMGL0u/KxHSPXTiBxVvf++G+zBx+aeybqtSnpIISU57tSDRoRWNRmmmEqUMst6lFF1iMpkgCE32JzQISS6gatjtdk1qzOfzCIVCYJi1Az63243Dhw+XXcmR8384OT6AWhJfs2Hd1Vrf+BwHs81aNAFOTUhofxMEAdFoFF6vF5lMBm63Gy6XC7Ozs5rWVQgJolIgPVx3mcIWuMjgdqVLolAwMjuK4PmA1mWUsenYwaaWFwWnqdv3Vrz/5EMvtluS4RBdY97ja+8P6lJqnXw+D4fDocm2LRYLOjs70dnZWXafIAhFgtPS0hL8fj/S6TQEQYDNZpOcTYU/jThx8vk8Upy16uS3duj6+eNFf2sR0k0pJpfLyZqBKgdUVKJUgopKFKIRR5aTjNrC18rKChiGQTQaxfDwMGZnZ+FyuWrWl06nVatPKeILMdSXD+RBS7EknU7D5/MhEAigr68Pk5OT0rQbr9erSU3VoO1vaxhhClxOsMFmav1z7uryiKotcFrnKo0cnUPw/HMNL7/pSP1WRhLpnq7+3bPyTkrFSsimVt4VpXVIHLcOrF1srZXjlMvlJMEpmUwiHA6DZVnp+VTLcTKZTE0dmygd0t2IS6k0T6kVlLpwrQc4jiOu/S0Wi1FRiVIGFZUobaOkU0kPqCEq5XI5LC4uwu/3w263w+PxYHp6uiEbNQmuG72h9v9MzMLyer3IZrPweDyaZiU1CglOpUahgd1rLPS25op4b3kQU72LMlejLAs9uwB9vD1VZ/beW4pylZRAFJy237mr7L7X/u4VRbdNClRMUpZGgrpJw2QywW63w263V2xjL8xxYlkW8XgcLMsil8vBbDYjnU6jd2gcQOsh3YUokackN0ad/AaQl6kkiqJaOQQp5GLMPZQiK0r3OJtMJqIPHJQSlQRBwNLSEhiGQTKZxMaNG7Fv376mP8i1bCEMP/UMhj6xlrUghnUXYuntQz5BXmaHWqJSOp0GwzAIBoPYsGEDtm7dKrmS9IDcohLj88m2Lrnw5zY2tJwSbiXKGu8tD8qeqzT762/Iuj6jsvPugzj3ZPMuuAN/OV/091v/9qb0e/ISOXl2rWIkMUmrPCWAXKdSO9TKceJ5HqdOnar5+OtOyJunVA2l8pQqQUUlckQlESPmW1FqQ+ZZOoVSAOm5SnK36GUyGVy5cgUnT56Ez+fD+Pg4Dh8+jC1btrR0ZUDu/5/3tgcrb+fFHwNYy1VqFbOt8kFDOq7uSYaSDhxBEBAKhXD69GmcOXMGHR0dOHToEHbs2KErQQnQX/ub3vKUzufly896t6u5LJ1KXEw0JrCRApuvn0Nx/RfuUKESedj1R7u1LkEVurZ2SD8H/nK+6Id0ttzhaUpQUjJPqd2Qbj2wHkWlWtS7uHpl8raG1uN69tG6y5CUp2R0UYmk557JZGC327Uug0Ig5LxLKbpFrQlw69lqyfO8NCo+m83C7Xbj4MGDsnyR2Gw2otrfLj35PLbe/eG6y4lh3YWoNQFOCacSy7JFE/qmpqYqXomsBWmuPYvFQvx0xkJ82TG47X6tyyjDl1q/2QRXlq+NvVc7V8mb6MF477Is63LPGcd5IieVWt/aoZqw9PYzZzXLcDKSK4k0SPo+VIuNm6ebWr7/uUcUqqQ+lfKUzC8+3fR6jCwqCYJA1Hs8EolgYGBA6zIoBGLMPZSiK2w2my5OXAVBaFpgW11dBcMwCIfDGBgYaEloqIfFYiFKVGoWLSbAyeXAEcVCr9cLjuPg8Xhw6NChlq+sig4qUg4w9JSppAZnO2/AoH1JlW0tWJoPdm41T0krLiVG6y9kUMaPqve/qTb5jTSqhYbvvPugIlPqbvpvdwEA3v/Zyy09Xs3XUCm0bH0DjOdUqoQzeLni7aUh3ZXylJQi+KNnWn6sZ7jcsW1kUYm0NrNIJEJDuikVMeYeSpEVNZxKJLe/AdecLY30PefzeQQCAfh8PpjNZng8HkxNTSkmFJD2haQH2v2fsSwLhmEQCoXQ39+P6elpdHV1tV2XKOKQ0l+vt/Y3AHgjNol9/ZUPwklEzilw6bwDTkumrXVcTGzUJLBbiVwlo7HpWPstkHrl8H+9qeb9zYhOophE0R4jOpUAYOPKxaZDuivRSEj30IkflN323g33tb3tUqrlKQHktYCpBYnHV9FoFIODg1qXQSEQ4+2hFN0htr+RjJhbVO1kXxAELC8vg2EYxONxjIyMYNeuXRXHzZLO5PgALt/2IMZ/+s2mH1sprLsZ4gsxDLf8aGXheR7hcBgMwyCfz7ftSqoEaa4z6lSiNIueW+CaZffnb8eb335Ok21TmmNwf1/V+yKvxzG4vw87//h3VKyoPYyQpwQYz6mk5KTlrp8/rti626XRi7brDRKfdyQSoaISpSJUVKK0jRpOpZWVFUW30S7VwrCz2SwWFxfh9/vR0dEBj8eDHTt2qO4eMplMLbXntUrn5x/E6rcbE51InQDXKKlUSnIlDQ4OyuZKqoTVaiVKxJE7pF4tlHQrnYt6sHOAkXWdcrqVWuG9ZXoASTEutQSndtgwMaLIeo2GkdzYtb7/Gw3pboRGQrrrTX6rlKfUCJWOVTmOg8tVub11PUPi5LdIJILhYVIv71K0hIpKFOLRi1NJrFEQBESjUTAMA5ZlsXHjRszNzWk6LcFqtSKXy2lSQ/ipZzD0icZzF8w2K/hcuRtn690fxqUnn5eztJrUCsXmeR6hUAgMw4DneXg8HkxOTip+xZQ0Z5DZbCaqHkptFhK9AIBt/aG21qOHFrh3Y9od9I4cnWtq+U1Hms/HMgIzH29/2t3Ou43b8qc0WucpGZF637fXnfiOSpUox2uvvQaTyQSHw4GOjg50dHQgmUyis7PTcO2OJIpKsVgM27fra5IuRR2oqERpG6WvElVzAZGE3W7H6uoqEokEgsEgent7sWXLFvT09BBxFU3MfFJaVLK9+GPkbvpYzWUamfwmIk6Am7nnaLulNU2l/1mhK2loaAgzMzPo7OxUrSbSRCW563ktsAUHRq/Ktj6tUMKtRFGO679wB07/w7Nal7HukHvyG4VidMKJxjLxtAzpboXCPKWDBw9CEASk02mwLCv9+P1+LCwsQBAE2O12SXAq/FlvrZAkiko0qJtSDSoqUWRBbK9SApKdSqJjxefzged5TE5OYn5+nrhAQSWEOW+LuUrtEnrw0xj+5vcV344omIivsdfrBQB4PB5s3bpVk6tl611UapZAujk3Sih5LcPMyIHdanFlufJ0q0ZyleSc/KZlrhJlfUBSntLmG7fi/V9fqnq/UfKUKNUnv4n0P/dI2W2uZx8F0FhIdyUaCeke+dSdSLe09jVMJpMkFAFr4dDbtm2D0+mEIAjI5XKS2LSysoJQKIR0Oi1lbBUKTS6XCx0dHbBarURc5G0GEkWlWCxGM5UoFSHrzJeiW5QUlUh0KiWTSTAMIyn24+PjyOVycLvdWpdWES3+h9VylUwjYxCCflVraZVLly4hkUhgaGgIO3bsUNWVVAmtRZxSlJj+RpJbyZ/bqHUJivBubFi3LXBGZ9cf7Ub8vfZeO5HZe2/B+cdeqLnM1O17ZdkWhSI3SoZWk8zGlYuKrr+RPKV6pEfkbenlOE66WGsymWC322G329Hb21tx2UKHUzweB8uyyOVyMJvNcDqdZQ4nh8NBpOCUy+XgcDi0LqOISCSCkRGaB0cph4pKFOIh5YOe4zgpdNtqtcLj8WDbtm0wm82IxWIIBtWbaNQsYisXqTQT1q3kBDie5xEMBsEwDFZXV+HxeDA7O0tMDz9pohJp9TQLCYHdvlTzNvIFi3EzeJrJVarG7K+/IVM1+mHTsfWdLbT9zl14+5mzWpfRMBOfuwtLv/wPrctoGRLylIyWr1MLOUO6lcT84tMtPa6ZKX9WqxXd3d3o7u4uu4/neamtLpVKIRwOg2VZqRtCbKsT3U0dHR1wOp2avc9yuZxig19aJZlMoqenR+syKARCRSWKLKgh/Kg5vaxwm/F4HAzDYHl5GaOjo9izZw+cTmfRcoVB3SQit1NpcnwAl71R2dZXSrWwbqVYXV2F1+uVplrMzs7C6/Wir6+PqINWi8WCTKaxTAU1kHN/fOrUtewqktxKJKHHFrhqNNIC1ypyh3S75zyyrm+9sfPugzj35KuyrtMIId0bbv6AroUlraGiUmVK85Qaoevnj1e8fejED9otpy6FeUqe4cpihVzH/2azGS6XCy6XCwMDA2XbyGQyRQ6nxcVFsCwLQRBgs9kq5jgpGXdBWvub6A4k5WI/hSyoqETRBaIjQq2sokwmA7/fj8XFRXR1dcHj8WDnzp1VP0jtdjtxLXqF2Gw2pNPtdLhXRu1cJTknwPE8j0AgAIZhYDabi5xnAJnuLqvVitXVVa3LWFeQ4FbSgkZb4N5brp6doKcWOJqrRDYzH9+Nt/7tTa3L0D1GylNqxr2yHmBCrX1+VQrpVjJPSa+YTCY4nU44nU5s2LCh6D5BEKS2ulQqhdXVVUQiEbAsK70Pxba6QpeTzWZrS4DhOI4oUYnneZhMJioqUSpCRSWKLCj9ASOGdSspKgmCgEgkAoZhkE6n4Xa7ceDAgYY+0EnMfSrEarUSXV8txAlw+UQclt6+ttdXmIc1MjKCnTt3wuVylS1nsViIE5X03m7WDHp0KwVWlM/cOp+fRbeleYF4IVGePUEq9UK65WiBU4vdn78db377Oa3LUJ31NPmNpJDudhg5Oofg8VNalyEbRhOVSjlv3485XLsgct2J77S9zkbzlCYu/7TqfXLnKWnRpVCKyWSCzWaDzWar2PqVz+eLcpwSiQRSqRRyuZwkVpU6nJxOZ93nRZpTKR6PV8yxolAAKipRdIKSok0qlYLP50MwGER/fz8mJyeb7hc2m81Eh0aqKXrZXvwxcjd9DMC1sO7wU89g6BPXMhjaDetudgJcPp+XspIsFkuZK6kSVquVOAHHSKKSmhjVraQk1Sa/FaJkC5xe2HTEuPlYRmXic3dpXUJbkJCnBND2N6PAcRzx4qHFYkFXV1fF/KPCHCeWZRGNRsGyLDKZDARBgMPhqCg4iRc2SXru4nAiCqUSVFSiyIJaTiW5EEUGn88HAHC73Th8+DBRH95yQrqTCmgurLtRkskkvF4vYrEYhoeHsWvXLmlEbT2sVitR+UWA8UQlPbqV9ITRpsDVaoG7/gt34PQ/PNv2NkaOzrW9DlKgk98oJGNEp1Lh5Lc571reUbWQ7v7nHim7zfXso8oU1iKFeUrVIK0FrFkKc5xKEQQB2WxWEpyWl5cRDAbBsix4ngfLsnj77bfLRCet/h+RSKQsi4pCEaGiEkUXyCUqLS8vg2EYLC0tSYHMlT7oW4UEm24lSMwHqkerYd35fF7KSrJarRgfH8f09HTTVzRp+1tjmEymdXHFWEm3kty8HerD9mF5BVi9Ua0FTu6Qboo+IT2kWwmMlKcEUKdSJUpDutdDnhLHcarlqaqNyWSCw+GAw+FAX19xvIMgCHj11Vfhdrsl0SkWi4FlWXAcB7PZXDE43G63K3YeEo1GqVOJUpX1uZdSVEcNp1KrrpFcLofFxUX4fD44nU54PB7MzMzIXrPoBrLb7fUXVhklnUpqh3UDQHwhhtJTx5WVFTAMg1gshpGREezevbthV1IlaPtbY1gsFkUP7teDW4nkFjg53ErtQFvgmqP/5hsRf/T/NPWYTcf0JbDIMfmNogyktL4BxnIqtRLS3ayg1GieUi1Ojf8+ZrOvt72eQtazqFQLcThRT09P1Rynwra6UCiEVCqFbDYriVWFYpPL5YLD4WjrWI2KSpRaGG8vpegSm82GZDLZ8PKCICAWi8Hn8yGZTGLjxo24/vrr4XA4FK2RVFFJicynyfEBXPZG6y4n5iqV0kyukhjWDQDXHduP936+dtCSz+clwdBms8Hj8WD79u2yCIYkurtIFJXMZnPbkxlTqRQAZfebULJ1gVEpfKnmD858cScAddxKtSa/FaK3FrhZrYtok4nPfhJXmhSWKK0hd0i33vOUSMJIolIppSHdSjB04gdNP6aWoGR+8emivxtpfQOMKyrVC+m2WCzo7OxEZ2f5gBBBEIoEp6WlJfj9fqTTaQiCALvdXtHlVG9/ikQimJmZafu5UdYnxttLKYpASqZSOp2Gz+dDIBBAT08PxsfH0dfXp0pLmh5yi/ROPhGH9bejXi9cuIClpSWMjIxgz549cDqdsm6LRAFnPdXE8zzC4TC8Xu+a4Gm+oeqyldxKgbT8bU6FLXD+3EZZ102yW4kk6k1+K0RPU+BIZfbeW3D+sRdkXaceJ79N3b4XF5/7jdZlUJqAtr9do53Jb10/f1zGSlrHM1x5QI5RRaV2sqRMJpMkFJUiCAJyuRxYlkUqlcLKygpCoZCU42SxWNDR0YF0Oo3Tp09jamoKMzMzGB4epk4lSk2Mt5dSFMNkMik2Aa2WqCSenDIMA47j4Ha7MT8/r/qXkB5EJVIzn0TCt96PoZ+Vh0tWYvCfvoqZb/xvxZ4PiU4lEl+7ZkWldDoNhmEQCAQwMDCA7du3o6urC0ydSdfroQ1OKxYStUcAy90C18jkt0LUbIG79exXmlrePedRphDKumHzrYfw/s9e1rQGo+UpAWjbIbseqBbSLTda5SkBxhWV6jmVWsVkMsFut8Nut6O3t/zYgOM4sCyLhYUFLCws4Pjx41hYWEAikUAul8OlS5fwwgsvYOvWrZicnMTk5CTGxsbaEnjz+Tz2798Pt9uNZ59tf2AGRRuMt5dSFENJUamSYJNMJuHz+RAOhzE4OIjp6emK4zzVgnRRSTz5V+LLuZFcpfBTz2DoE7XzGEZP/hCF8sTKRz6L7p9Un1aipMhCoqhEImazGTzP11xGEAREo1F4vV5kMhl4PB5ipy22GtgdWCm3oJcit1uJpMBuElrgSA3p3v352/Hmt5/TugzDYMSQbjUgKU8JWDsRVTLSgDQqTX4rpDSkWykmLv+04u1K5CkBayKH3E50PaCUqFQPq9WK7u5uzM7O4q/+6q+K7vvYxz6GL33pS0gmk7h8+TKeeuopXLp0CX7/WpSFx+PB5OQk/vRP/xTbt29veJsPP/wwZmZmsLzcfHYYhRyoqETRBWJoMsdxCAQC8Pl8sFqtcLvdmJqaIsICbbPZZJlQpxSiSKLGFR/biz9G7qaPKb4dJVEih2o9UsuplM1m4fP54Pf70dvbi4mJiYpXxp461VieklpuJblb3yjKIWcL3PVfuAOn/0G9q6Sbjkyqtq1mmbp9b1PL77z7IM49+Wrb2yUppFvuPCWKvBil/a00pLtSnlKpoGTn2Ka2IUdIdzM0mqcEUKcSSSQSCRw6dKhidizP8/D5fLh06VLZJLtaMAyD5557Dl/60pfwjW98Q85yKSpjvL2UohhKuUYEQUAikQDLsnjllVdkmeylBHa7HSzb3Be5mohOKi2u+LQa1t37/OMQPTCFYd1A5QlwFPUpFZUEQUA8HofX60UymYTb7cbBgweJOziqRXDFhZHulNZlNIRcbiUSpsDpnZGjc1qXoGtIEpSUgIZ0y4uRg7qNRC6XM6yopGX3RSmCICCfz1c9ljObzRgfH8f4+HhT6/3iF7+Iv/3bv8XKyoocZVI0ZP1L/BTdks1m8d577+HkyZN4//33YbPZcPjwYWzdupU4QQkgv/3NZrNp2s5Vr/VNJHxr7Stm+UQc1x3bL0dJusRkMtVtN1MTsf2N4zgsLCzg5ZdfxsLCAsbHx3H48GFs3rxZVkHptcAW2dalBeei6zej52JiIy4mWnd55QXyMsNIov/mG5t+zKZjxmkF02NAuByokadEWusbYBynUjXkylOq51LSMk8JMLZTibTnLXcu67PPPovh4WHMzdELMusB434aU2RHjg8aQRAQiUTwm9/8BqdOnYLJZML+/fuxZ88edHR0EJ1xQ7qoZLVaFa3Pe9uDiq27FHECnBqQ1gJHWtZTLpfD+++/j1deeQUcx2Fubg579uzBhg0bFHMvKjH5rZTzvm7Ft9Esvnhll+Hbocat5rUozCR6b3mwpXVYTOrvL63WSpEfowo76xlSw+qpU4kcTo0rl+fUzhQ0PUNa+1sqlZL9gv6JEyfw9NNP47rrrsPdd9+NF154AX/wB38g6zYo6kFFJQoRsCyLixcv4qWXXkIwGMSWLVtw6NAhbN68WerdrTUBjgRIF5WUqG9yfEDW9TVD36Z+hB78tKLbaCSEWm2anbamBPl8Hj6fD6+88gpisRi6u7tx5MgRTExMVOy1lxtvvH4oNsmci3rgS63PsbwL4dYPgplw61dlSQ3ppqgLDek2DlRUWqMTrbcNZa2VRYKhE+VB4PWoFdJtfvFp6fdm8pQA477OpIlpkUgEg4PyXsD5m7/5GzAMg/feew9PPvkkbrnlFvzzP/+zrNugqAcVlSiy0awrged5LC4u4vXXX8fZs2fhcrlw6NAhzM7Oore3t2x9VFRqD6WdSvVIjW6tePvlQ/+55uNWPvLZirf3zUy0XVM9SBBwStGyptXVVbz99ts4efIkUqkUdu/ejc2bN8Plcik6ia9dQsnmrq5FltcOYEl0KzXLQqI8GJ2ifyY++0mtS1jXyB3STfOU5McI7W9iSLc4+e28fX/FyW96xzPcU/U+uVuu9AJpTqVoNCq7qERZX5DVrEkxBCsrK2AYBtFoFMPDw5iZmUFnZ33nAemiEunTwmw2G9LptNZl1GX05A9Biowjtpqp4b5pFLVFJZ7nEQqF4PV6AQDj4+PYtm2bdDBvsVg02S/fXOjC7k1J1bcrF+/4OzA9Jl+wv5yB3XYrWe68RliMmrFxQH91k0izk99E2m1967rtDiR/qt70vfWAGnlKQ/ffB1w4pfh2msWoDhY1aSRPScnWN0C5IUCkIwgCUaKpEk6lQm666SbcdNNNiq2fojzkvFspuqfWBz/HcfB6vXj55Zdx8eJFDAwM4MiRI9i2bVtDghJAvhOIdNT4/xXmKtle/HHL6ykM6+59/nHpdz6nbpYQaflFgHqiUjqdllpS4/E4duzYgQMHDmB0dLToQEcL59TS8tpnzZsLyk9GacStFFjRdzue3LTSAvd+aO0x7bTA1ePWs1+pu8z1X7hD+l3OLBk1Tv5bZfbeW7QugUJpGiM4lapRK6Tbzik3hXji8k/benyzrW8kX6hVGtKeezQaxdDQ+mzbp8gDdSpRFEMcLc4wDFZWVjA6Oop9+/bB4XC0tD673Y7V1VWZq5QfUg90SBXltl79GZr96swn2ndkNILR2t/EoHyv14tcLgePx4PDhw/XvBpMYu6UXiDVrfR+0IrNI2SJqbV4P6i/Q5lNRya1LoFC0TWkOTko8mNUNxqJLX+RSASjo6Nal0EhGPppTJEN8QMwk8ngypUrOHnyJLxeL9xuNw4fPoyJiYmWBSWA/PY3YE24Ic3ZIiK360YQBCwtLTX1mGq5SqRiFKdSNpvFlStX8NJLLyEUCmHr1q2Yn5+H2+2ue0CntfBGiluJAvgi18QdLQK7F6P0kKaQTceMFVrdeefHtS6hIrXylDbc/IGW1rn5xq3YfKPy36dD97c+Tt7yL3+HaDQKlmXphQdKS3AcB6tVfxcN2iWXyxH3vKlTiVIPst6xFN1z7tw5JJNJjI2N4cCBA7KGzJHqtCnEZrMhm80SlcEjItf/L5vNwu/3w+/3o6urC50b3G2v8/Kh/4zJl79b9f6Vj3wW3T95tOg264YNAIDQg5/G8De/33YNlSBVVJKjJtFJuLCwgFQqBbfbjfn5+aYPZCwWS1snDE+dIm9fqcR5Xzdm3a1P2alGo24lX9zZ0PqM6lbSmpGjc4quv//mGxVdvxx03vlxrD7zb1qX0TZyh3QrRe+uaa1LqMvS0hL8fj/S6TQEQYDD4UBHR4f043K54HQ6qeOoAmJIt8h5+34Axa1v7Ux+qwcJeUpGFpVICukGaFA3pT7G21MpijI9Pa3YB6EenEp2u51Y4asdR4noSvJ6vUilUmWi4WVvVFrWe9uDGP/pN2WpuR59MxOIv3VFsfVr7cKphNVqbasmjuPg8/ng8/nQ1dWFTZs2oa+vr2Wrtdls1vx/pLfQ7tCSOidQdPIbRS903XZH/YUUZur2vbj43G+0LmNdsXXrNTeVIAjIZrNgWRapVAqJRAKBQAAsy0IQBNjt9iKxqaOjA06n05DtT4WIk98AYIN9ucaSlXllZRfmu8+W3Z61Vp6KOnRCmelyzeYpAWQ6dtSA4zgiRaXh4WGty6AQjPH2VIqiOBwOxWzOenEqkVpjK6JBNpuFz+fD4uIiuru7sXnzZvT29ire6z168ocI3Ho/hn72SNl9iQ//YVF4t5JYrVbiXs9Wp60tLy9jYWEBiUQCY2Nj2L9/vyyOOhKFN6XQ2q3UKHK5ldplIWzDpqH6+48Y0l0IE7bCM1TfKVWap0SnwLVHq5PfKJR6mEwmOBwOOBwO9PX1Fd0nCAJyuZwkOC0vLxjDICAAACAASURBVCMQCCCdToPnedhstjKxibQgYxI4FZvC4Z43Vd/ubPb1qveZX3y65fVSpxI50PY3Sj2Mt6dSFEVJscFsNhN/EEGyqNQogiAgFovB6/WCZVm43W7ZWxnbofsnjwI2dT66rFYrWFa5SSqt0IyIk8/nEQgE4PV64XA4MD4+jtnZWVn3U1JEpWpupVCy8tXYakSW18dVcTlcSrQFjmwmPvtJXHn0/2hdxrpCblGtVp5SO3Td80fAuVcUWbdIO3lKzWIymWC322G329HbW/zZJQgCOI5DKpUCy7JIJpMIhUJgWRavvvoqrFZrkeAk/hhRjFhvkOjYUQMSRaVUKoWuLuUzLCn6hX7iUigyQrqoZDKZqk6ny2Qy8Pv9WFxcRE9PD6677rq2XUm2F3+M3E0fK7otNboVrsClotu2Xv0ZLtXIVep9/nGUeg/UmABHimBSSCM1JZNJeL1eRKNRjI6OYu/evXA6G8vkaRaSpr+p0QZX6lYKrHTKsl653UqpjAkuR/MifKth14Uh3YU06laqRKNuJbm5/gt34PQ/PCv7end//na8+e3nZF8vCThuOSbLerpuuwPJnzb/v5crpNsxRDNDSMNkMsFms6G3t1cSnHK5HLLZLPbt2yc5nFiWxerqKiKRCFiWlSaHFYpN4u+kC07ffbELv7vjWqubmKdUj0oupUqtb/WolKc0cfmnRX83k6dUq/XNM9xT9T4jO5VIymYVL+iTNpGOQhbG21MpiqL0B46Y30Jqj73NZkMqldK6jKqIwdPil1UlV9LBgwfb/hJXIlepUli30pAa1F1JVOJ5HqFQCF6vFyaTCePj45ienlY8AFVt4W1pmR7UqIke3UpytMC55zwyVVPOpiOTiq1b2obBJr+JOG45hswLP1d9u5tvPYT3f/ay6ts1KoUXx2w2G2w2G3p6ysUJjuMkwSmVSiEWi4FlWXAcB4vFUhYa3tHRQYRD5Hd3+GVZT7U8pVqEb5A3fJu/6aMtP5bjOMUuiJFMLpeDy+XSugyJfD4Ps9lMRSVKTaioRNEVYlh3R0dzLS1qIU5/IxXRSSUIgpSV1Nvbiy1btpRZzvWAdcMG9M1MQDj+BExH75F//ToQlViWBcMwCAaDGBoawuzsrKoHI6QdZGjhVpKLam6lRie/FRJZAjaNylGVslTKU1KCW89+RZXt6JXZe2/B+cde0GTbJIR0G4WRo3MIHj9Vdzk1W99aodGLi1arFd3d3eju7q64DlFsYlkW8XgcqVQKHMfBbDZXFZzU/M47H9mIjY6LFe/7TWAjbhi99j3UTJ7SyeXdmOuvvF6SMLJTiQRxUyQWi2HDbycuUyjVMN6eSlEUpb9sSReVSJ7+JuYSnD9/HjzPtzxCXk3CDYZ1h596BsMKiEqktr9xHIdwOIyFhQVwHIfx8XEcPnyYWAef2pA8DU6tyW8AsBAwYdNo+zl07bqVlGqBKw3pLmQ9BXb333yjKtuhId3yomieksGRw7FusVjQ1dVVMScmn88jnU5LglMgEEAqlUIul4PJZCoTm1wulyKC0+84jku/l05+u2H0XVm3JbKKcgGulGZa39qBikpkEI1GMThIW4MptTHenkrRNaRnFpFYXyaTAcMwCAQCAACPx4PNmzfLuo3J8QFc9kYbXv7Vsd/DQf+/yFqDEpDmVBJfy2g0CqfTiW3btlW8AqsXnjpFTmZAs5z3dWOgR37RQu5sJTWolqdkFEaOzjW8rBqtb5TWsH7kLuC1F7Uug9IA1bIh5cJisaCzsxOdneWZeTzPSy11LMsiGAyCZVlks1mYTCY4nc6yHCe73U6cq1ctFrunWn6sUUUl0gLKw+EwFZUodTHenkpRFLWcSqRCiqgkCAIikQgYhkEmk4HH48H8/DwWFhZUC/+rlau0k3+j4u2XC8K6R0/+EIHD/6nicuIEODGsu29mQoaKyyHBqSQIApaWlrCwsACWZTE2Noauri7s2LFD07pI582FLoz2K/vaRZfNighLctKMW6lWSDepbiUKRa6Qbop+0DJb02w21xSc0um0JDiFw2GwLItMJiMJTqVtdQ6Ho+jYudWQ7lJeWdlV9T49tL4BxhaVSHresVgMQ0NDWpdBIRxy3rEUSgOQLippfSUqnU7D5/MhEAhgw4YNmJz8/9l78xg58vvK80XeWSeLRdbFqmoexWKziqSqmzcttY5dqaVeS6NVjxaWhbHVbUEYjY3RytrFGtCsdzDrAXbG9srwGvBA8LmCLXssG9Zq4JZbtq6x2N1stshuHj282ZVZd2ZVZVbeR8T+kR1ZkZFxxy8ifpH5+wAJsvKI/FVWHpEv3nvfIy3llaFQyHXRS2kCnBUGv/cNZFTKurfffogR2/fQTiAQaE69cJtqtYrl5WUsLS2hr6+vOY0PAJaWljxZk9+4u8hhdtr43y+VpSM+6Ee3khXs9ClpRd9E7ETg9n/h89j4+h9Yum23QWryG4MOaO9TApx3KlklEAigp6dHsdeQ53mUy+Vmj1M6nUYymUSpVAKApuAEPAXAP31K85WrxLYlhzZxxU28/j4hJZVKMacSQ5fufKUyHIPjOHAc59gXcdqnq3mB6EpKJBKoVquaXUnhcBjFIp1fVmcefRf3D3207Xy1XiWRUIeVB2YyGSQSCWSzWUxMTODMmTNUjZZVguM4anfynWQrw2MrA8xMkd+2KCxZKemW0+ndSgx66P34J5H/zt8avn6nlnSzPiVnoXkKsBrS8u+9e/e2XCYIAsrlMgqFAj4ySGbyGwDTk99I9ynZib4BjceFJnHFLbw6mKlGOp3GqVOnvF4Gg3K66xsAw/fQ7lQCdr9gO02pVML9+/dx+fJlbGxs4OjRozh//jwmJydVj+y4Hc9LfOzLqpddmfi0rW1nPvwvmv/fc/ww1r/887a25yX1eh3JZBKvvvoqHj16hPHxcVy8eBEHDx6kXlACGjFBN57zVri72H07pKmt9vMWV7vvcQC0I31esOc9TxLd3uEXPtV23vSz54jeB4NBG34UlbQQo3FSsUla0u01hx+85Mh2J0cG9K/UZdTrdeoO0LGiboYR6HrWMjoCJ48q+EFUclK44Xke6+vreOONN/Dmm28iHo/jwoULmJubM1TYHA6HqSqeVuLBhRe9XkIbTh01yuVyePvtt/Hqq6+iXC5jYWEBCwsLGB4e9tXRuUAg4Er31FbW2mPitLB0P2HsemYnv91Zpm/KpTx2Zrake3GDnvJRL6ifOG/q+m5Nfut2Qs854yzyG36IvgH0xt/s8kc/bJ1EJ/YpmZ38ptan9ErWP24T2tw6bkHb5DegEX9jnUoMPTrvHZnR0XSrqFQsFnHv3j288sorSKfTmJ2dxfnz53HgwAFTR+uc7FQ6MjWseD6JPiUpO8+90PKzWNbtFKTLunmex8rKCq5cuYI7d+5geHgYly5dwpEjRxCLGY860bTDRUOhudcYFZa8RMut5Lajx0qfUnKjIWAZ6VOSYvZ34+etFeP6Gf7sB7xegiW6qaSbRd926TSnkpxbqXHVgu7rq+MtP7+xaS9i5hT/UH7G1u3r9XpX9inRKCqxom6GEZioxCCOkw4LP3x5JSUq8TyPtbU1vPHGG7hx4wZ6e3tx4cIFHD9+3PIYeVqm0zkB7RPgCoUC7t69i8uXLyObzeLEiRM4ffo0RkZGTL9mAoEAVXEzmuNvIn6NwSVW6HtczYo6cuy4lURhyQwvLP+65fvrJkIfa4/SeYGXPUt1AuKaU31KjF06XVRyErWS7p+szure1kyfkl26taS7VqtRJyptbW1heFj5wDGDIcJEJYav8EMkyK5wUygUcO/ePVy+fBmbm5s4duwYzp07h4mJCds7UaFQyPX422pcWew5wV/T7VUae+U/A2iUdctRmgLnBHYeM0EQmnHFmzdvor+/H5cuXcKxY8cUp8MYhTZx1Ur87T98K4i7j9z9HbSEJRKT32hwKyn1KUnp1m4lpxh95rTXS/AUO5PfOrWk2yxDH3yf10sA4J/oG9C58bePzJEr6TbLwtiKZ/etRLeKSrQ5lQRBAM/zXfm3YJij896RGZ7jhvBDU/RHTjgcNh3RE11JV69exc2bN9Hb24uLFy/i+PHj6Ovr09+AQQKBANWPnYhar9Lg977R8rNY1u3kBDgrolK5XMaDBw9w+fJlpFKppjA4Pj5OZEeYNlGJtvUAQDbnrMNnK6O8fZLC0lam8ZjS6lYy26ckZWOT7m43wF9fshnWYX1K/oM5lVq5OPBW8/9u9inNV64S36YIE5XoQBCErp3CxzAHE5UYvoP2CFckEjG8PmkkamtrC08++SQxV5IfmXn0XVu3F378TUIr2cWoYCIIAtLpNK5fv45r164hGo3i/PnzmJubIyoMmlmTW9hZD01uJScxW9Ith6SwJHcrud2ntJ62Liitp2pI+0CQ8opumvym1qdkxz1FK6xPqZVOdCpJS7rH+wvN/99IqO8/aPUpne+/Yfi+SUff/qH8DOb36TufKpWK6oFOJirRQT6fJ74Py+hMuu/VynAcp9VsUVSiddR6OBxGLpdTvVyc4JZMJiEIAiYnJzEzM+PqDpLfjzrsPPeCYvyt+t9uIWKvG7INPadStVrF0tISlpeX0d/fj0OHDmFwcJDsImTQJirZ7Xi6+6iO2UPaIqrVyW+K97fIYXbaOcfe/QQwM+XY5qlhPV3DyLA9t9L+vd23G9L/2V/Ezp/9KbHtHX7hU3j4x39DbHsMazzx0QsIHph07f7qJ84jePM11+6PJjrZqXQrNd4iKj1zZDcSd311XHfyG2kOP3jJke3mt1Zwe7mISqUCjuMQj8ebp56eHhSLxY79G2tRrVapEtNSqRTrU2IYgp5nLYNhEHECXG9vr9dLUUTNSVUoFJBIJLCxsYH9+/fj+PHjnvwOoiDh5ofWavwwxooPFS+7MvFpnFv+K91tbHz0C9j/3a8rXubkBDglUUkQBGQyGSQSCezs7GBiYgJnz5517ehSMBh0vRtLCxIilxFhiSR+FJYSKzymxsmIz4urHKbH6I/CqpHerGHYZ4JU/cR5U9ff+8H3OrSSVkhPfuv9+CeR/87fEt0mw1n8FvXkeb4rBYdO4tixY83/8zyPUqmEQqGAYrGI9fV1bG5uol6vY319HbFYrEVwisfjiEajvj44qgZtTqV0Oo19+/Z5vQyGD/DXHhnDFzj9Ji+KSrQiFZVEV1Ii0ShamZqawtGjRz21bYvrc0JUOjI1jAeJNPHteolUMKnValhZWUEymUQ8Hsf09DSGhoZc37EJhUJUOZVITX9zW1iiGbFPSY6WsKRX0i3HjrC0ud0QNd10K62n6BFSGZ1R0s36lPxJvV7vuPgbiZJup/qUzEbfzBIIBNDT09MywOTRo0fo6+vD8PAwyuVyU3BKpVIoFAool8vgOA7RaLRFbIrH44jFYr4VnGib/pZKpZioxDAEE5UYvsMPnUrFYhF37txpvhnPz8/bmvZFEi8mwFnhwYUXceTVP8LYK/8Zqxf/J8Xr9P/dHyPz3AsY/N43EBoaQm3L5LdqA4RCIWSzWdy+fRtbW1sYGxvD008/jWg0Svy+jEJj/M3Mev7Dt9SFIzeFJdGtZHbym1pJtxw/xOD81Kckx49uJQbDLDT0KfFzpxG4/YbXy2jSafG3P/phHz4yl9W8zvXV8ZaftfqU1Di9917beUb6lLygVqshGAwiEAg0xSI5giCgVCqhWCyiWCwinU6jWCyiXC5DEAREo9EWsUkUnGgWJGl0Ku3fv9/rZTB8ANsbYxCH4zhwHOfYlDFRtKENcYJbIpFALpfDoUOHPHclKUGTKHeCv4abgadM3Wbwe99oTn1TQvjxN8E98xm7SwPP81hdXcXDhw/B8zyOHz+O48ePU3H0izZRKRgMUuUeNDP57e4ih717nFvL/QQw0Ef2PYBkDG59o4qR/fZ2YDupW4mfP9Py8/4vfB4bX/8DxeuOPnPajSUxFFAr6faS3DOfwuCDK14vwzR+i74B/u+FVEPep3Qj0YdnjmiLTdLJb1ZZGFMv1X545GOABx/vRhw70i4mOYIgoFwuNwWnra0tLC8vo1QqNQUneY8TDYITbdHOdDqNyUn3uuIY/oWOvTgGwwSRSASZTMbrZTTJ5XJIJpNIpVIYGRnBiRMncP36dYyNjXm9NEW8EpWM9irNPPou7h/6qO721Mq67SLtvhoZGcHhw4eRzWapOlJDo6hEcj1ux+ASSxVMHaCz+F8NksISCewKS7rbV4m+6bmVXlj+daeWRB0kJr+FPvYp1F5ipd8M+ulEUYkU0slvdqNvZrASfVPD7vQ3juMQi8UQi8UwNDTUcpkgCKhUKigWiygUCshkMlhdXUWxWIQgCIhEIm0dTrFYzBWxx6kD8lZJpVJYWFjwehkMH8BEJYYjOO1U8toVUa/Xsba2hmQyiUAggKmpKczOznp+hMMIfom/KWGkrNvKBDie57GxsYFEIgFBEFq6rzKZDDY3N+0unSi0OYPsTn9TQioskZz85gXLqxVMjDkrWpntU5Ji1q0k9imZvh+N6BtNbiU/QkJQ6jb80KdEQ/SN4R3SyW8ANCe/qfUpaWEk+rZVGVA8f75yVfU28/vUnU9GsSsqaSF2MUWjUezZ02pVFgQB1Wq1KThls1msra2hWCyC53mEw+G2Dqd4PE5EcKLRgcfibwyjsD04hu/wMr6Vy+WQSCSwubmJkZERnDx5UtF2y3EceJ6nUmSiKf6mh9ir5BSlUgnJZBJra2vYu3cvnnzySfT19bVch7ZJa0DnO5VE3HQsOe1WMiMsqZV0y7HrVtqSiEM0xOCs4sdupf7P/iJ2/uxPvV6G5clvTpd0933sZ5F76b9Yvg+GMfwYfes0Gn1K7SXd0ugbiT4lvyF2KrkNx3GIRCKIRCIYHBxsu7xarTZLw3O5HNbX15uCUygUanM4xeNxw+KYV7+zFkxUYhjFX3thDN/gpNLutlOpXq9jdXUVS0tLCAaDmJqawrFjxzQFI3GNsVjMtXUaJRwOo1Ao6F/RAf4xfwn/Xe9lW9tQ6lPKfPhfYPB73zB0e0EQkE6nkUgkUC6XMTk5iQsXLqh+kNM2aQ2gT+giNf1NibuP6tjvoFCRz+8+jkaEJaMl3Uo44ViiLQZnBzW3kpGpb7QLS/UT501df+8H32vq+qGJSdSWk6Zu41do7VNiMOxwKzWufyWKMRN9mxxRdj9JEQSB2gOzg4ODqoKT2OGUz+eRSqVQLBabxfJSsUn8Vyo40VbSDTTib0xUYhiB3j0wBkOFQCDgSuZ4Z2cHyWQS6XQao6Ojqq4kJUQ3EI2iktPxtyNTw3iQSJu+nbRXSY7aBLid515o+VlrAlylUsHS0hJWVlYwMDCAw4cPK+4UyPEiLvhXV/SEh3EA4zjuRXumAmamv2lNflMjsVTG1AFj0/bMlHQr3xdZx1Iu5/xzx070TYoRt5Je9E3NrWR06huLwTG8pn72Awi+/kOvl+FY9G30mdNY+zE9k9zMwvM8dREhUkhLus2gFn2z26ekFn1jKBMOhxEOhzEw0P641Wq1puBUKBSwubmJYrHYdCfF43EEAgFUq1Vks1nE43EqBKZSqYTe3l6vl8HwAWzPjeEIfv3AF11JyWQSoVDIkCtJCZojZrStzewEuEowjkhde/qfOAFOEARsb283J/IdOHAAZ8+eNfVB7WbUTF9MMn79T59zT3By4zEyIyzZvy/nonBOuJXWNyoY2U9mmywG147WBDgGnUQ/9CzK3/97r5dBNW5E34J/9Vuof/p/IbpNWqsF3EIafTMz+e303nstPxvpU/IKGruF7BIKhdDf34/+/v62y+r1OorFItbX11EoFLC8vIxCoYBarYZAINA2pU4UnJx+jDrx78BwDiYqMXwJ6c6inZ0dJBIJbG1tYXR0FO95z3tsuYxoE26keLm2+X2rgLYeBKB1ApyZXqVHFz6HqZe+BgBYXFzE0tISenp6MDU1haGhIUsfjm59oJoVlKxur1bn8JmLZaL35WT8TUo3CEtG+5TkmBWWtiyWbbuB1K1kJPpGCn7+jGv3RZrszHn0UBR/6/34J5H/zt96vQxVSJZ0s+ibu4hRok7gj37YhwMjQlv0rdGn1OhZkvcpkWZhzH6pNmm6TTgMBoPo6+tDLpdDKBTC9PR087J6vY5SqdTscVpdXUWhUEC1WkUgEEAsFmvrcIpEIkT2XavVKoLBIBOWGIZgohLDEZx+AyLRWVSr1ZpdSeFwGFNTUzh+/DiRtdMsKnk9/Y1Er5Ia03//OxDQmABXmzyP06dPIxKhe1Q8aTFJj1BQUL1Pq+4mM/E3s5RKrdvtBmHJKqQcS6TdSkajb1KsxuCkbqX1Defeg0efOe3Ytt2C1pJuBkOLbhMcRLQmv0k5338DgP3o248fTODkVM7Qdc30KRmhVqtREf1yG6VOpWAwiN7eXsUIGs/zzUid1OlUqVTAcRxisViL2NTT02NKcNrc3MTevXuJ/G6MzoeJSgxHoFlUymazSCaT2NrawtjYmG1XkhLhcBjlMlk3CClomxwmRa1XSalPSY68rPvw4cNE1+YEbgtKeliN07n9nCIlLElLuo1gtqRbr0/JCWGJFErCkl6fUts2bMbgNjatid+0l3aL0DIBTk7oY59C7aW/8XoZitBY0k2CoQ++D1s/+K/Nn53qUxLx89S3TnIqkUCtT0kLu9G3+cpVW7fXo1qtGp6Y1klUq1XD3a1A44CeluBUKpWagtPGxgaKxSLK5TI4jkM0GlUUnKSCLSvpZpih+16xjI7ArBNIdCUlk0lEo1FMTk4ScyWprW9nZ8eRbdul022sWmXddnAiW16tKW8vHHK+iN4sJPqbrJR0q6EkLNkt6Va+H+fcSiTY2WkVXoy4lYxG30g5lqyyk6mir9/a/a9vVPG/Vf9Py/ftJWYnvzEY3QTP8x0pKhkp6Zb2KTmNUZeSnPl99uN0tVqta0UlUg6tQCCAnp4e9PT0tF3G8zzK5XKzNDydTiOZTOKrX/0qlpaWMDo6ioMHD6K/vx/FYhGPHj3C1NSU7b9JIpHAL/zCL2B1dRWBQABf+MIX8KUvfcnWNhn00H2vWIYruOVU0iOTySCZTGJ7extjY2NYWFhwZSJbJBKhNv7mBnoT4MxG4PJCH3q53R0cM2XdJBCdOCR3cv78srrTRio2Kb2UQkG6RKe/uhIBQh/AX11pPb9W5/BzF0rY3t7GO++8A4BsZMitKFxiqYK+Pmc+LqVuJat9SnJIFnfbZSdTRf+g9Z3k3I41YSmfrwJ0PASonzjv9RIYEpzsU8ocOYfBB1dUrs0gQb1e74j42x/9sE/x/BuJ3fOd7lNSw8voG9DdopIbv7e0/Fsab/vOd76Der2Ox48f4+2338Y//uM/IpVK4Stf+QoWFxdRr9cxMTGBmZkZzMzM4OjRo5iZmcETTzxhSAwLhUL47d/+bTz99NPY2dnB6dOn8eEPfxhzc3NO/roMl+i+VyzDNTiOgyA48+VXS1Sq1WpYWVlBMplEPB7H5OQk5ubmXHXo0NypBJAvOreLdAKcWgTOCBsf/QKKQk+zrJsUYg8VqQ97LUFJitpTtlbXfi7TIjqFggK+9XoUwCiAURze7Z7Ew0V9AUXep6SEW8JSLldzVFiKx8keeSfdr2Q2+ibFirC0k7H+/pnNkp986IcJcIVnnkfPj//a62UwbOJ09G3tfZ/F/o3bjt6Hk3RS/O3AiPJntVjSLUXuUgpwgmr0TatPyeupb5MjA7rX6WZRyesuqWAwiCNHjuDIkSNYXl7G6dOn8cUvfhFAw7G/srKC+/fv4/79+/jRj36EP/zDP8SFCxfwla98RXfb4+PjGB9vCKX9/f04fvw4lpaWmKjUIXTfK5bREUQiEWQymebPgiAgm80ikUggk8lgfHwcTz/9NKJRdwp95dAuKoXDYdRqNU9KrOf3reJWakz3etIJcGaIc/oWcrOQLDe3KygZQU10Crx7diDgveh0eFr9S0GtzmFxyfjjnVgqY9CkaGG2T6lQqKFQqGFkxJjTUa9PSU6xWDctLMmjb3KUhCUrU9/WN6oIhe2J8nYcS1bdSt1CdsY9J5SbJd19H/tZ5F76L82fO7VPyQ71E+cRvPma18twFZoOiLlFLGLvM/v03nuEVuIO3Soq0VZQnk6nWybRcRyHiYkJTExM4Jln7DnUHj9+jGvXruH8eebk7RS67xXLcA0nnUqiaFOr1bC8vIylpSXE43FMTU1hfn7e894gryes6REKhVCtVqmfjGaWSL2ISrBRclj9b7cQIeTKprnc3CgByUuC57VfH16LTqGg8K7o1C6y3L6r7EJZXy9iZMR4waVV1tdLhoUlM4ii1fCwN0K4Fvl8QyAf3GPu/cKO20gOE5bIYnXym98hGX1j6LP8/s9hlPA2O8mpJHL3sYBxmenISvRNnPxmlIUxe/1HTkTfgIa4otQF1Ok40d1ph1QqhZGREeLbzeVyeP755/E7v/M7GBjQd64x/AETlRi+QxAElMtlbGxsYHt7G+Pj49SNjqfpQ0EJGpxUTvYqkS7rJiUSuuFSUiJgcns0i05zs8qv81o9ihu3874WlgAgnS4TFZZI9itltiumhSUpRt1KamKUEWHJavSNnz9j+Lqjz5DtBmP4E3mfEgnciL75nU4QleR9Su8/2diXkfYpWUEr9gYYi779+MGErTWQoFudSrSRTqexb98+otusVqt4/vnn8dnPfhaf+hT591CGd3SXf5ThKsQnZVWrWFxcxKuvvoqVlRWEQiFcvHgRhw4dokpQ8gNuiEov37ZeMHll4tMEV2IfEqKSXwQlIwgCp3nyglBQwFMne3BglGs7je4LYHSf9Y+7QqH9b7++XrKzXE3S6bLudfSib1LWNxpCi5XoG2lIupc6gf7P/mLLz500+Y3F1bqb5fd/zpHtdmP8jSbmK1cdvw+3CqtpgsbndTqdxIRLXQAAIABJREFUJupUEgQBv/RLv4Tjx4/jV3/1V4ltl0EHdD17GQwZgiBga2sLN27cwOuvvw6e53H69GksLCyA4ziqHUGBQIDayJQb8bwvPku+LNcojy58DkBjAhwJ/Bp/c0JQMvKSo010CgUFhIJCi9A0eziM2cNhHH7CuiCtJiyZ7VNSwoiwZAZRWDKLGH0TyWwb246WeGT1MqDhVlLDiYJuu/h18lvoY2SPIJvtU5JjRaCy0/9U9yAeOPTB97l+n36kE5xKgHpJN+Dd1DcRI5PflKJv8/u043Qv3zbmgiI9bdcP0FDSLSeTyWBoaIjY9n7yk5/gG9/4Br7//e9jYWEBCwsL+Lu/+zti22d4S3e9YhmuYkfwqVarWF5exvLyMnp7ezE5OYmhoSGqRSQ5ohuIxp0fGuJvQGsETjoBjjbsinBeuZRIQ2p9WsISx5GP1oniGq+w6VBQwOxh5R05sfD85tvqf3tRWLITh1NyQgHko3DZbBkDA/a3ZzcGBzhf3P3vIv+XpW1r4YcJcE5iR6ShAZJ9Sk5E35ymE6JvgP9FJXn0TexTEqNvA736n4EBBz4nATqibwCdAovT0ObOEgQBgiAQfa29973vdaxrl+E99Dx7GR2HWQFIEARsb28jkUggl8thYmJCtyuJtlI7KaJwE4s5071ih3A4jHw+7/j9vHx7HB+Zaz9yZWQCnNLkNyO9SpF6sdnvTKqsOxQKoVhU7m8yQkEjKdXz7tOjZNCYouSOjiq8REi7lNx6makJTlbEJvljoPWYqAlOALBworWnSd459dbtgmM9S0rCkpnom0ix2BCR3RCWjEbc5MKSmWicXFii0aXkBvLJb4VnnkfPj/9a8zbdWtJNO9WxQ14vgRhORd8AOmNCTkJq8puRPiWnefED+g4ooNGp5Gfh0Aq0CWmi+EPrdywGfTBRieE5lUql6Urq6+vD1NQU9uzZo/tGJrpHaHoTlhIOh1Gp0PlFx+n4G8/zWF9fBzCte101Nsv92BvdsXx7kmXdduJvf/B97S/wouBkRARS248uV4xdT07U4EvH630KM4KSVTFN7XZKYpO8qFwqOvE8B+xrFVvuP7b3PuCVY0kefZPjB8cSaVhJN4PhLX53KskRS7rtwpuMltuZ/GZl6tvLtyfw4ogxUQlAVwmHAKj7PrOzs4P+/n6vl8HwEUxUYjiGligkdiUlk0nkcjkcOHAAZ8+eNfWGKjqBaHoTlhKJRKiImCnhVPytWCwimUxibW0N+/fvJ759r3BahCPpKjK6H8ZxQMXAryRfW9jFTw0r7iQlEQggJzapbb95fYXJeGK8Tm2q3lu39f8QfonCWSni3slUUShU0NNjXqDK7TRuCwCxOJ2fBQzr9H3sZyFQFAnxKySib/zcaQRuv2H6dlevXkVPTw/i8XjLv1ajPp3gVBL7lMToGw3QEn0D0JURKdq+z6RSKeKT3xidDfukZriK1JXU399v2JWkRCQSQaVSQU9PjwMrtQ8tvUVKkFybIAhIpVJYXFxErVbD1NQULl68iGAwiO8/Vo/AiUh7lUjy6MLnMPXS1yD8+JvgnvmMrW2FQiFLTiU9l5IZSO5DG325KQkxVQX9Q2t7IYsHlEl3K2mJQXqCk56QZBQlwQloOJ3UBCegEa8DGsJSJGL+ARWjb3K0hCU9l5IUEo4lAJaEJVFQAoBSsepLYan/s7+InT/7046a/CbFbkk3CWjvU1o8/j9gfOs28e16gTz69tRTT6FYLKJQKKBQKGBzcxOFQqHpOBJFJlFwisfjmoKTn51K8j4lEbFPyQg37tbxnmPmdghIRt+supSM0o2CEgDq6jLS6TSGh4e9XgbDRzBRieEYolAkupISiQQKhQImJiZMu5KUEEUlWgmHw7Z6eJyEhPOmXC5jaWkJKysrGBoawuzsbJtV9ovPVvD7f2/9y6ZSBE7eq3R5cx6X9t5quU6kXkQxQE5sDAaDjjmVvHApkURPoKoZ1OKk4pMTZd1akBKN7KAmOPE8h1Nz2s/lOr/7/3sPzU2NI+lYKr0rXtkRhsT/W3EtAdaEJX7+jKX76iaslnT3fvyTgMOTRhnm2dg/h/0b7ohYwWAQfX196OtrF05qtVqL4JRKpVAsFpvTv+Tupng87mtRSQ8jJd2dDs/zHfv31aJarVIVN9vY2OioxAHDeZioxHCUd955B0tLSxgYGMATTzyBwcFBYqVvNHcWAY31ZbNZr5ehiFWnkigQLi4uolgsYnJyEufPnyc2scLKBLgz+x8C1uqODGNFhOtEl5KTiOJTY33qdy6WZ3cLamITsBunC0qeH0/OtD/v6rzyc/GtWw1xNpttCFGiuGTGpaSE1Sib2W1IxSgppWIVsG+cUmT9vZ/ByD9909B16yfO61/JBvKSbiOwkm7nyRw5h8EHV0zfbmVozhG3kptT38wWdIdCIfT39yt+ma7Vak2xKZ/PY2NjA8ViEblcDjdu3GhxN4n/+j0WJ0eppNsJl5I0+nZyynjvkZT5fdY7mqTUajWqpqC5BW3xt83NTRZ/Y5ii+161DFfp7e3FuXPnHPmAiEQiKJfNHZV3E5pFL7PCXrVaxfLyMpaWltDX14eDBw+aEgiVInDSCXBORODiXAGJj30ZUy99zfYEODtF3VrQ6lIyui7SBd5GtlercwZLzTtPfJJPxtN6vKQJgqDKc+Opkw3ngNTp1KB1x1Z+ea0G3H9YaDmvJIvYGXUcqQlD4mVWxKn/OPjbpm/jNTRG30If+xRqL/2Np2tYPHAJU2vmBRqncCr6xmgnFAphYGAAAwMDLee//vrrOHHiBIrFIorFInZ2drC+vo5isQie5xEOh9vEJhoEJzH6Ju1T2rsnaCr6psabd3icnG1395QqZD+kV3bMO8DNRN+A7haVaPq9U6kUDh3qnImUDOeh59nL6EhGRkbA823fWIgQiUSws2N9OpjT0FzUbZRMJoNEIoFsNouJiQmcOXMGkYhDFgCHCD85b3sbZkUlt11KZsq5dbdFsaAEGF+fVkdRc1suCk/iuu1E7aSxQLnA1H5d9cvklRVqopPatkJB4MTx9i8XZt7qd4WquNbV2m9XB3aTESq3fcfUJjuOwjPPo+fHf+31MgAAydGzmFp6xbP7j37oWdRj9ERKGGSIRCKIRCIYHBxsOV8QBFSr1WakLpPJYHV1FcViEYIgIBKJtAlOsVjMc8HJKGp9SkqCEm28+AFjDqhuFpVociqlUimcO3fO62UwfET3vWoZHYMfOpVoF5UEQWhzG9XrdaysrCCZTCIajWJ6ehrz8/PEYotmUepV+qelGbz3wP3mz0q9SlLslnU78bu7HS8j+SvQLigZhec53fu20++ktF6t38GM4KS1LquCk1o/qtE1G/1exvPqQpbe3yMUVHJWta5x5YOfw/gP/sTYYhiMDobm6JsTcBynKThVKpWm4LS9vY3l5WWUSiUIgoBoNKooOHm173PrbgWnTzgjMiyM7TrHaZr6BtDn2HEL2rqkWPyNYZbue9UyXMXJD2PaRSWnIlOkENcnfnjncjkkEglsbm5ibGwMCwsLRCdRuD0FTizrLozNoGf1vv4NKISkS8nQ/Xmw7+xlx5OR+9YXaNqVGKtrVbudWXeTmuBE0t0kYmVyntHnrNp96jmrnCK170nHtr04/3FM3/qOY9u3g9WSbr9TP/sBBF//oaP3waJv7sFxHKLRKKLRKPbs2dNymSg4ySfUiRUL0Wi0rTQ8Go1a3se9+7j9zc1qSbda9I00P7oRx+xBc7cxG30DGk4lmhw7bqF0kNdLUqkURkZGvF4Gw0cwUYnhW2h3AtH04aBEOBxGuVzGxsYGEokEgsEgpqamcOzYMaJWcLsT4JR4amK15Wc3yrqNYiT65rZ4Uyob21kNGFiY2lViFhJ/tAtKRmjvORJa3TsE7sdpd5Oe2NS4rfplWhOgrYhO0vs08vgpOZecxExZt1O4VdLtpaC0eOCS7W08GrmE6ewNAqtxpk+JBPUT5xG8+Zqna9ByKa2tpzA6QrfjQSo4DQ0NtVwmCALK5TIKhQKKxSLS6TSSyWRTcIrFYm2CUyQSadkHlPcpAcDePdpCkNylpBZ9swNtLiWgO+NvgtaHqEdsbm6y6W8MU3TXq5bhOk4KK8Fg0LG+JpLQdvQBQPNo3BtvvIHR0VGcOHECPT3mCxidQGkC3I/ujeH9R1uFJHkETo3V+GEchn2nEsdx4Hneke6FnXz78zgY1H/OGHVsGHFU2xGUAKAk6cw3+hAZuZ7SSydi45PLqZeimmCjJZo4KTi5FaVr3F79Mr19ZRKPgR3nEj9/xv4CFHB68psfSI6e9XoJXY2b0Te38OLLN8dxiMViis5tQRBQKpWagpM4oa5cLjdv19i3eo+p+3Qy+qaF1uS32YPm3qytuJSAhqhEy/6oW0hTA7RQqVSIphUYnQ9dz2BGx0GbmOI28oiZlwiC0HQl1et1xGIxPPHEE64eiZBH4KQT4LQ4OZ3XvY5Sr1KcK6AokNk5Ef+WWqLS//3tEIxYpowIRqQgJSgZxWlBCQAqtdafjYoKHAdAIB+fstq7pCf82Pmz0OBuatxe+Xy73w05TnsbrFepc0iMnqNqAhwpuin69uXfLeNr/9r+AAunDuxYheO45nQ5OTzPNwUnJHbPV4q+3XuQx+lT5vdV3ryjfmCV5OQ3vejb/D71agOzdKNTibaSbhqdUwz6oeedmcGwgOgeoRUaInrlchkPHjzA5cuXkUqlMDs7i3PnzmHPnj3UPXb/mLcfdwCAK9tzABq9SiLCj+3FVUKhEGq1mv4VdTDkQCLoUiKFEYGDpKBkFFOC0rvUee2TILSflLcp2Cry1oMX1E92CHDKJzOIv7v8ZPz26icjt9HaBqMxAY4Ej0bsvycnDlwksBJvoTX6pkanFnTX63Wqyoy1CAQC6Onpwb/944bgtJgoqF5XT1C6cVf9YJXVPiUao29A94pKNP3OlUoF4XC4640BDHMwUYnhKE6/IdEg2mjh1foEQUA6ncb169fx05/+FNFoFOfPn8fc3Bz6+/s9XZse8uibFc7tud3yc2FsxvY2SYlKbuK2S8kIRgUlI28dVgQlLbTEFSWhiec51ZPTkBCX5DgpNpEQnIxwafKhuQUzqIRUnxKDHr78u2X9K+ngJ1FJ5OmzowCAi6d33UxafUq37jo7gEY6+c0p5NG3Fz+gHquT062iEk1OpVQqheHhYa+XwfAZTFRi+BraJ8C5LdxUq1U8fvwYr7zyCpaXl3Ho0CFcvHgRk5OTbR/S4XDYE5Hk5dvjlm73o3utMbmnJlbxT0v2xSKj6E3za0Tf9LbBXEpGIKlFe1UGzvMcBEH7ZAcrgo8VSApXdsWmTmVlqOGsXJz/uGP3YaWkm+EcnRJ9c9OlBNAXfzPD3ceCavRNjlKfkrykWyv69sZNcvudP7rRHu1zEiYqeU86nWaiEsM0/nxnZvgGN5xK3S4qCYKA7e1t3LhxA6+//joA4OzZszh58iQGBwdVbxcKhVwTvL74rPG/0dqOtR2YM/sf4vLmvOJlq/HDlrYpxW9OJTfKuc1ip0dJjhFhjfbpclbEJTfEJFIxO6P4QWxK7Xuy5ef1937Go5VYm/zmNp1U0s2ib+Sw61bym1PpV35Tvw9SD63om1Vojb4B3Skq1Wo1qkSlVCrFJr8xTMNEJYbjOCksRSIRKiNcIk6KXrVaDYlEAq+++ioeP36MiYkJXLx4EQcPHjT04URr/E0NI2XdUsRepTin3mNgBruiEimXEo0YEYu6RVAyE9WyIp6Q7ldSwk78jSR2xaaVD37OucVpwCa/dQ51iw6vzJFzZBfSQdgRlvwmKonRN60+JSlGo292XEpmBCXRpWRm8pvVqW8ifnajWYVGp9K+ffu8XgbDZ3TXq5bRcdAef3NC9NrZ2cHt27fx2muvoVKp4Omnn8bCwgKGh4dNCXhexd+A1gjc/L5Vw7eTR+CMQKqsWyv+ZiT6RgojgoqbLiW7glKpLDRP5Qp0T7WagevUgWpN/8TzjeuqnczipJikhVahNwnRiUTXEklIOZv4+TMOrK5zWBw0Nwad2P0S7lNaHDhpe3sk0Yq+iVFIP+B29A3wr+AwPKw8mt3q1DcRtZLu+dmI+W1NGe89YpCFNlGJOZUYVugufyHDEziOc2w8ZSQSwc7OjiPbJgEpNxDP81hdXUUikUAoFML09DSOHz9uywXmZvzNLGs7cYz2F/WvCOCflmbw3gP3285XKuvuWW2/nlH8Fn9zi2JJ/7VNSuQi2SVlZFu1uhmhCIDOQxEMwJNYl5KwREIUUtuGW7E5ObRF5hj+pxjf6/USTEFr9C0UCqImUeq//LtlfO1fR01vx09OpV/5zTyePtvXdr5WSbccJ6JvpJnft1v8bdel1K3QJiptbm5iZsa9zlJGZ+A/uZ/BkEC7U8muqFQoFHDnzh1cvnwZuVwOp06dwunTp7F//37bsUK/xd+UeGqi3eWk1qtkl1AopOhUoq2gm5SAUyq3f0EvlISWU7ninqBkFCP3R3pqnNHr6U2ME08kC73luOEy8srFRPqxcgMnnSmFZ54HYL+k2+wUtU7qU1oMHPF6CY6xsd/8c4+fOw3AG5cS4C9RScRs9E2ppFuKnehbNm/8PZJkQXexWDR0cNmPf18S0CYqMacSwwpMVGI4jpOdSrQLI1bWx/M81tbWcPXqVdy8eRMDAwO4dOkSZmdnEY+T+5APBALgefWdE6exOgVOizP7W8eJi71KgP2y7mAw2DFOpXyB1z0B7SKSl5AS1EgKSkb7k8wIOUrbIzE9zs1pcV45lS5NPtS/EkGcKOvWmwDnh5JuJRIHLtq7/ajxjiKzIpibODn1jVaXkkgo1PoGbaVbyU/xN7FPSQ2lqW9SpC4l+eQ3P/HM5HXcu3cPV69exZUrV/DWW2/h3r17WFpawubmJkqlUlNw6saSboC+3zudTjNRiWEaep7BDIYF/OBUMrq+UqmEZDKJ1dVVDA8P48knn0RfX7t1mhROT+aT88VnK/j9vzee81eLwP3o3hjef7TVoaQWgRMZ5NPIBOyNR3Uy/mbEpZTP1zHQr6yaZHcaO5+hkP52jFyHNtcUrYKSEeyISerXtdAfJJhbT6ew8sHPYfwHf2JrG/LJb37CqkvJz31KpLjT6x/HlZvl8CRdSmZjcPV6HZGI+b4gtxGjb4uJQkuf0uLjLPYuDHm4MmNYcSmpRd+kMSpBEFAqlVAsFlEoFJBOp5FIJFAul8FxHEKhEMrlMpaXlxGPx9HT04NIJOL6/qrb0CaWMlGJYQUmKjEcp5udSsFgUNMNJAhCy4fq5OQkLl682HX23/l9q7iV0i/hPjmdx43FXsv3UxibwXJiC0enzO/UyYu6BUHA1/4/fbuy3YlumUzj+R0KBZrikdcwQcnYtkgLSiQ6g9RcRKTEJtp6ltyGTX5jMNSRdyuZhbYv32ZZkAlKYkm3G1PfaIDjOMTjccTjcezd29pXxvM8UqkUVlZWwPM8NjY2UCwWm4KTeLuenp7mv+FwuOMFJy/IZrPYs2eP18tg+AwmKjEcx8k3fNo/TNTWV6lUsLS0hOXlZQwODuLw4cMYHBx0eXWN9Xm5k/by7XF8ZG5F/4omubw5j0t7b7WVdQPARPE+APNHoEWnUq1Ww/LyMpaWlgC8z9Y6RcHIrvDUWJ97LiW/UtHZ5zYqThmZO8BxQN1AcTegvj3p24dTJdTd5lwSYZPfnMHrPqVujb7d6P0ZjGPNse3bZWsji6H9AwCAna08+od2Dw6ZcSv5oXOn4VJqj75JXUpmom9qmJ389sZbBRw9onxQTmvy2+xB/Q8JEgXdgUAAwWAQfX19mJycbLmM53mUSiUUCgUUi0Wsra2hWCyiUqkgEAggFou1iE2i4OQHeJ6n6ruMIAgQBMHX4i3DG5ioxOgIBEGg6k1ZjpgX397eRiKRQC6Xw4EDB3Du3DlPP/hEp1c0an4Kixv81xsxvO9kqe18pQicGle25xTFJbNUKhVkMhm89tprGB8fx+nTp/HKS+rX395uHHkMhbQ/mI2IOHrbcBOvXUrycvBQiENdpxosGAAUOtZbr0PI7WT0bcjItgRhd3tGOpTMCE9uiUnd4lCygp/Gx7sBTdE3hjJvDnwIo9iwdNutjazt+/eTU8lsQTegX9KtBkmXkpnom3TyGwnUuoUCgUBTLJLD8zyKxWIzUre6uopCoYBqtYpAINDmborH41QJTrVajar1iN+naP5OxaATJioxHMfpNyYxlkRTyZ2UQCCAd955BysrK+jp6cHU1BSGhoaoeMOmXVQywlMTq7i2PNbsVTqz/yGubiiXcq/GD2OsaLzMVxAEbGxs4J133gHQeK5dunQJHMfh1/+UB6BtWadJDKLJpSQXlJQmzYWCgF6DlaHfycX4HElBycz2WMeSNiR6ldRYf+9nMPJP33Rk23KslHTf7TuH2dwVU7fxqk+JJvzUp3Sj92e8XoIu0XgE5eLu5+XOVh716q7S/8K/Af74N/Q7XPzgVAJ2BSVpn5JVxJJureibHlouJbuQcCmJWCmsDgQC6O3tRW9v++9Xr9dbBKft7W0UCgXUajUEg8GWSJ0oOLn9XYK2yW/b29ueJCcY/ofOb+EMhgnEsm7aRKWdnR0sLi4il8uhXC7j6aefpk68CYfDrk40Uyrr1orAGbFdqyFG4KxQqVSQTCaxsrKCvXv34vjx4+jt7cUrr7ziuhhoRJgyIq6QwKpAU5RNjiPxncCPghINYpIc1rFEH4vzH8f0re94vYwWHo1cwqH1y5rX8Tr6psXiwElMZ2+4ep+ZI+cw+KAh6DkZfXOLNwc+ZOv2cmEpGA7KhKUNXWGJdlHpV34zj31j/W3nLz7ONvuUxOib2Kckx0j0zSnMFnTfSpGd4lutVolOORbjdEpDb0TBqVAooFAoYHNzE4VCofkck7ubenp6HHnu0SYqpdNp7Nu3z+tlMHwIXd/CGR2J01/CaSrrrtfrWF1dRTKZRDgcxtTUFHiex9jYGHWCEtDoCaLlsVNDHoETy7rNROCA1glw91TKure3t7G4uIh8Po8DBw7g/PnzlsVKI2KQW84gN11KcgHJyv2ECOy3MUHJGn51Ll088MiR7ZqZ/MZKurVJHLiIqaVXHNs+zX1KDDL4Kf5mBHlBt5qg5NeC7hc/oN7VpIQVp5JVtASnWq3WFJzy+TxSqRSKxWIzFSF3N8XjccuCU7VapeqgeCqVYqISwxL0PIsZHQ3Hcc1eIdKITiUvyefzSCQSSKVSGB0dxalTp5pHWzY3N6kVbmgR5F6+PY4DI/afH2IETsq5PbfbepWkZd31eh0rKytIJpOIxWKYnp7WjSc2om90QINLKV9oPB7hMIHCcQP7ZSR+ZzOCUlXDzBcMAjBQyG2k9wnQLwFnHUsMoywGj3i9BMMY6VNKjJ7D1Jq5KJ8V5NG3xcARTPMPLG/P6YJuN7DrUvr1z5Xw7/4kZtutRLNT6Vd+s7V8Wyn6Ji3oNjrxTQkzJd1vvGWs28kKS+tkPzho6RcKhULo7+9Hf3+766xarTYFp1wuh/X1dRSLRfA8j3A4rNjhpCWE0uZUYqISwypMVGL4Hq9EJZ7nsb6+jkQiAQCYmprC7Oxs24cHLcKNEuJEs25C7FUqFApIJBLY2NjA2NgYFhYWEIvZ7z8giVudTEbcQ6JwpIYRQcmtKXd6rqBgUH8SXCgI8HpCECGnEw0uJqnYQ1pgYkKSf2B9St6zMjSH8S37wyU6EZpFJTUWHxsrKI9ElD8InHYpiZPflKJvdioIrOCmU8kq4XAY4XAYAwMDbZdVq9VmnG5nZwdra2solUpNwUnqburp6UEsFkOtVkMkojyxzwvS6TT279fvN2Mw5ND9ymV0DE47lcrlsiPbVqJUKiGRSGBtbQ379u3D3NycYkGgCM2iUjgcRj6vPdqWBvSmwIll3SJiWbdWr9LNmzcxPT2No0ePGrbTcxwHXk9pgHvRNyMCi1lXTy7XLjKSELfcjr3Jp8S13I/OY2JkHW4KSm5H4pREICtCE01ikrSsm58/Q3TbVsq6zU5+s1LSLWKlrNssXvcp0Rp9yxw559i2/VDQrYQdtxLt8TelPiUAzT4lkVjMna9fokvJiZLuV94oYnpKuRfKKn4QlbQIh8MYHBxsK7oWBKEpOBWLRWQyGayurqJYLKJcLiMajSKbzbYJTl4M9Emn05idnXX9fhn+x7+vXAbjXcLhMHI5c7ltswiCgFQqhUQigWq1isnJSVy8eNHQETOahRsvBC+lsm6gYaNWisDNHuRw9zH5b6dD40cxNtbeq6RFKBTCv/0G8aWo3JezO87ZnYZ4FCYQJfMq9iafGkdiYhwJQYm0O0mqxyvtYzrVrwT4Q0wyEgV0GtJ9SjSWdTuFkeibW5Ce+paJ+P+Iv93omxJ2hCUaJufKkUff1pYyGB6ONV1K0tgbjZgt6AZAXFAC/C8qqcFxHCKRCCKRCPbs2dNy2dtvv439+/cjGAyiWCxia2sLy8vLKJVKEAQB0Wi0LU7npODEiroZVum8Vy6DSpzcCXAy/lapVLC0tITl5WXs2bMHMzMzipZXLcLhsOedT2r4Nf4mlnUrodSrBKDZqySWdUt7lYxCamfHrYLuQtH+FBm3XEpalMoCQiEOtbo9tcItQclIf5LVjiX5zw3RiWy/EmAvAie/rVMiEw1iEq040adkZAIcg6FGOBJCteK//Q0rzJ0adfw+SBV030j0ATC3r+CESwloHMCl2YnmBLVaDb29vYjH4xgaaj3QKQgCyuVys8NJnFAnpjOUBKdoNGrrO1cqlWLxN4YlmKjEcAU/iUqCIDSngBUKBdtTwCKRCNXxN1rXJkcvAifl6sbh5v+vbJuLmWhhxJnmVg+SXCDJZNpfA+GI9nppcynJnUdWtqF6OSFBSUuDDYWMi0V2r+NUJM6Jwm6lbdoRmtwSk8ynupRCAAAgAElEQVRMfusE/NqnRCr6Rtql5CSkom8b++ewf0O9v8kJl5KI3dJuWhBdSmL0TXQpifT26/flqPUpKWG0pNtoQffmtv2DT0qYnfzWrWgVdXMch1gshlgspig4lUqlpuCUSqVQKBSa34disVhbaXgkEtH9PsY6lRhWYaISw/eQEkZqtRqWl5eRTCbR19eH6elp7Nmzx7YgRrNwQ9va1CJwdqjxHEKB1m2KZd1m+da1E6SWpYmeMJXJlHWvoycokViHEYy4lPTEJLuCkJleqWpNeS2hIKcrKOmhWyDukZjk1uQ3wLqYpCUkXZo09lqW9ir5CTt9Sm5gpk8pceAippZecXA16iwOnMR09oZr93ezNo+pyLpr9+cHCtkiegZ2o1adIiwpoVbQTaJPiZRLyQqvvFF0bNtOda/SjNXyeY7jEI/HEY/HsXfv3pbLeJ5HuVxudjhtbGw0BSfp7TKZDNLpNObm5jA+Po5AIIDNzU0mKjEswUQlhis46VQKhUKo160faclms1hcXEQmk8HExATOnDlDdBIDbcKNFL/G35SQlnWXKgHEIvqF2l5gNgqWybSX0JMQe7x2KYnRvEhY+3ch4TBSolrd3XkNhYCqlmCk8zfTE5SMupOMuJyM7HMHAsZ2zN0Sk2hyJZEu6Ra50fszOJn/iaHrmi3p7mTM9iklRs9has3Z0nHaUXMprVRGMR5ZI3Y/ai6ltfJ+jEY3TG8vk9oB0C4sGYVGwUHJpeR09M2IoGTUpaSF25Pf6vV610XfgMbzmvR3pEAg0BSO5PA8j1KphEKhgPv37+Mv//Iv8fjxY2xtbSEcDqNYLOI3fuM3MDs7i6NHj+Lo0aMYHh62tZ7vfve7+NKXvoR6vY7Pf/7z+LVf+zVb22PQCROVGF1JvV7H6uoqEokEotEopqamMD8/74j4FQwGDU0M8wKvCi/VyroB4PLVAi6dac3qi2XdZiJwSlzZnsOxvbs73fcSWzg6Za6sWwu7Ys/WVuN3ixBwGdmFhHBVrvDoiQdVu530BCUShEJci4DUfrnO7W0KSoD9jiWjpd5GxSQRPbHHruhEk5jkR0iWdbsxAc4LaI2+3azNAwAShRFM9TC3kpxMqtXFE+vdjYupuZVon/wmouZQUiPxaBNHjjlXjKw1+c2p6JsV6vV6R5Z0a+GFUBoIBNDT04Oenh48++yzePbZZ5uXFQoFfPjDH8bZs2dx7949/OQnP8G9e/ewubmJWCyGI0eO4OjRo5ibm8OnP/1pQ/dXr9fxy7/8y/je976HyclJnD17Fp/4xCcwN8cOrnQa3fXqZXiGG+KFEbU/l8shkUggnU5jbGwMCwsLiMVimrdhuMsT070A9D9otcq65UgjcLdSY5jf1xCgrJR1k0IUkOSQEJRIRN9070PFpZTP7+6khsKcrbJwKy6lcmX3uRMJuyMoqZn9SDmY9DArJjmNExE3hnGslHT7tU/JLRYDRzDNP/B6Ga7hRJdSOBpCtfzu1NFIGNXKruOmlC+hWq6gf29jEEphJ4+e/t3P9xf+zQa+/n/soUpUev5f3cf4oXHN68j7lFYWt3BotjVapCQoPbybxuFZa+4QEi4lNcTomxMl3dVqtetEJZ7nLUXfnEKMxn3iE59ou6xYLOLBgwe4d+8e1teNC+VXrlzBzMwMDh9udJ3+3M/9HL797W8zUakD6a5XL6NjESNmSrE1nuexvr6ORCIBjuMwNTWFY8eOub5z4oTFlRQ0r02OmltJjL6J6EXgzPYq/fqfWnebbaYbO2IhAs4cWqJvIlIRSUpIJxpHKvYmFZFat2/PYaQkKEmnz9ntWLLTrySKNrsT4pR/V7Ml3SJWHEpeuZLMHuh9c+BDeE/2+5bvT4nlqvYXSzvQ1qcknwBnpk9JjtnoG4NcQTcNyIWlcDSCnU11l4/V7hmnEAUlafStTyfWJxeUzLqUKhVyrvfr17cwfdDcNGMnqdVqqoXVnYpWSbcXpFIp1ahbPB7HiRMncOKEuW7RpaUlTE1NNX+enJzEa6+9ZmudDDqhR/JndDROCxZKE+CKxSLu3buHy5cvI5PJYH5+HmfOnMHo6KjrghLN3UU0ru3yVfNH2rJ5BxZi5v7f7T7aTBfbTm7idEF3Pl9DpcIjn6+rCkpOUSrxzVO5IqgKSnoYEZRqdaHtJL3czvZ3xSDlE8c1RBq1k3QbJAlw5gUl6ZrMIgicZUFJfKycwsrkt076wu8HaI++2cHL3i0nJ76Fo61vjuGI+hfqwk4emdRW8/Tz//MiNaLS8//qvunbrCxuGbqeFZeSfPKbEzhZ0A00RKVucyrRKCqRLulWivj55SA2wxzd9epleArHcY7lh0VRSRAEpFIpLC4uolarYWpqChcvXvR8R0R0UtH04SFC89qcQD4Jzm6vUnqjoWaFIyHbApIbXUpmXEr5vDWxkZRLqVRSPiqrVxCu51JSQjxgHgm3OpLa1mZSUJLOEAi/e5na26ARrdvYhDhz77N+dib9zJT5KY5ewkq6vZ0A52f8Llo+97PTzf9/+6+VX7fhaATVckX15//9/wnjb/6Tc2s0iuhSyqSy2DfWj7WlTNt15NE3OYlHm8TXZTT65rRL6cUP5EzfholK3pNOp22XcsuZnJxEIpFo/pxMJjExMUH0Phh00F2vXkbHEggEkEgk8Pbbb2NoaAizs7Po7+/3ellN2AS4drTKuoH2wm6xrBtQj8BpIe1VkmKkV+mXf2sHw/t7mwKSFWiJvmmxs1NFJBJEuaxusQ+7UK6tJiY17t+eoCTus1YUXo4aB80bt9UQlEKhhoCkNogyrPNpqycokRaT/CQkNW5v6+a+5VZ9HvPBW4av72afEou+tUPCpeQlTrqUpO9Pn/znh9reE771zTsA9IWlT/3Lu/ib/zTr2Dr1kHYpHTlxoHm+VvRNzaUkj749vJtW3caDOylMHdqrerkSWiXdWsgnvzntUgK6V1Si6Xd2wqkkln4/evQIBw4cwF/8xV/gz//8z4neB4MO6HkmMzoe0k4lQRCwtbWFxcVFZDIZ7NmzB+fPn6fqDVokHA63xfNogUbB64npXryzqC/gyMu6s3lgQLIPpdarJJZ1m+lVsiMoGcGNgu5SsYZw/65ysrND/u9u16VUqzmjHpQrAsJhTlFMMoJcUJK6mcIhTlVMalyufplUTFJ7ewwG9EUVo2XdfhKTSAtJq6URAM70KvmBTpkAlxg9h5pg7XN+ceAkprM3mj+Tjr45hd9dSkrIRfBP/3xDKJK+Z3zzT26AJqSCUiaVRV1lbGdqeQu9x0ZbzpP2KVlxKekJSmZcSjRSq9W6bnAOjU4l0qJSKBTC7/3e7+HZZ59FvV7Hiy++iPl5f4vvDGXo+/bN6FhIZWir1SqWl5extLSEvr4+HDx4EMViEYVCgUpBCWjE82gTbkTcFpUEQcDGxgYWFxcBeHO0WsmxZIdwxPnnHSmXkpaQpCds2XUpKQlKhcKuGhOJaG/fjEtJ3rekf1v1y8SOJcU16cQJ5YKS9DtIKKgtnJCc/OammNRNriQnS7qXCmR37hkMLZx0KZlBKjb9/Au7pcA833hf+cbX3/DcrQQAfUN9hq5ntEtJRKlPSculVCrV8MZbzrnN5S4lJya/Ad3pVKrVaujpcebxtEI6ncbx48eJb/e5557Dc889R3y7DLrorlcvw9dkMhkkEglks1lMTEzgzJkzzWlvPM9je3vb4xWqQ6MbSMSt+FulUsHS0hKWl5cxNDSEJ598Eq//RPs28gicFFIRuOX4DKDRq/TLv7Vj6j6UIBF900PJpZTZbn18olFn3/L1XEoiUiGJFIKgPglODyVByUjHkpagFA41BCSVA9nN6XVKeCkmsYibtZJukRu9P4OTeeU3tk7pU3o0cglhjs7PMy9xKvrWKS6lCxOP8eryQcu3F9/zfvFfPg0A+Pb1xvn/bMF8f48V5C4lqagkjb6llrfwhMylJEXNpaQVfSMFrS4loDtFpW5wKjG6h+569TI8xYpTqV6vY2VlBclkEtFoFNPT05ifn2/bFs2iDdBYX6lkTgBxi3A4jHK57Nj2M5kMFhcXsbOzg8nJyZaI4rWra3jqjPrOlx7S6JuI0QicSAA8eI8HYZIs6JYLSSJ6gpKTLqV8roZoNIhaVV1MsuJSEruXolHrDidRUDLbsSQXlGqSXy0StiYmAfqCkvjWpyfgiEf71UQiudhkR0wysh7t29q7b0YDN/uU7PAwO4ZDA2uWb38/M4aDAynb63Ar+pYojGCqZ92V+7LCxv45LJfHvF6GZb59vd0xxPMc/sen7R8QEpFOe8uksoZvJ7qUpNE3EXmfkhoP7th/rlvFjS4lESYqeQ8TlRh26K5XL8M35HI5JBIJbG5uYmxsDAsLC5pZa3H6G63QLHqFw2HkcmSP9PE8j5WVFSQSiaYYuHfv3jYx8OtfHcLv/732tqRuJWlZNwBsZ+rYM2hNkHn59jg+Mrdi6bZSvI6+ZbYaIlI46u2EQ7lLKZ8j536TikJaJd56t1VCrWNJT1Cqqehj2jG6xr9KIoqe2GRUkzda1m1XRNK6XyMCEwkhyc7kNz/1Kpkt62Y4w2LgCKb5B4qX0VLQvVIZxXjEumDXKQQCgqLY9PFTWQSMjNlUoKd/92iV1KW0vb7ddCqllrWdQG66lOQl3VKXktbkN3lJt1msTH4DmKhEA6lUCiMjI14vg+FTuuvVy/AUPacSz/NYW1tDIpFAIBDA9PQ0jh07ZmgHgOYibIBuUYlk/K1YLCKRSGB9fR2jo6O6YiCg7lYyWtZtFjEC98SYvjhBY/RNFJGk6AlKTsfeAG0RKaqzPj2XkpaQpOVSUhKUxMl2WrdTE4ZqtcY2zQhKYoF3JKwupGgJSqTFJDeQr0UqMpEQk9RcYJ2EU31KtJR1P8qO2nIr2cUPBd0rQ3NIVZRj2SS5lj6M0T5jJc9+5ztvKYspHz/VcB8p7W/quZQmZ1p71cTom9kuJaC9T0l0KZmd+kYCN11KAH2T0NyAtt85l8tRNTmb4S/oeSYzupZCoYBkMon19XXs378fJ06cMF1cZ/XIk1vQLHrZFbwEQUA6ncbi4iKq1Sqmp6cxMzND9G+i1a2kxE/fyuHpU7tHEq/dquKpee2jQX/w/Sg+/yHnYoBqGIm+KQlJbq5BLfqWy1Xevdy6S0pNUCoUGiKVliClF3sTEYUkQ+uRPU2kequRGJ18CpwR5xKg7Bwy0q1Ek5ikBscJzZJdO9gRk8TJbyRRK+nW6lXqBB5n9+HooDWX58OsvZjV/Yz9mNbiwEmAfK1bV7FW3o/R6IbXyyCGmtj0/369UdxEq0upVDJ2QJDmLiURnucRDHrruHYbmn5nQRDAcRyxoUqM7oOJSgzXkL5RiRPAEokE6vU6JicniQsRNEH79DcrTqVqtdos3h4YGMDMzAwGBtQt1VrY6VZSisDNHGm1vR8/GgWg/Y30/UdXAZg7KuxU9G07vXvUWO8+3I69iUKSUfRcSlJEIcnKbeXwvIByWVlw0ROjlF4OaoJSJNwQkuRikniZEuLbnFoErVPEJACei0lmsVPSrYXTJd1u9yndy4xbFpZI8Di7j0ivEgmcir7dTE9irJ+8W1fKtfRhR7cvp1bffT8IBel/D/uFLyy0nVerc/iH7y1je327zaUkInUpafUpaQlKNHYpOTX5jeE9PM8zUYlhCyYqMVylXC4jmUxidXUVQ0NDmJ2dJWa1DAQCqNfr1Kj+UgKBAARK22hDoZApwWtnZweLi4vY3t7GgQMHcPbsWVuZ8K9/dQhf+PfGj6LJe5XsIPYqOVXWbTT6JhWRSGO3oLtcrkGrx92uS0kuJBlFSRgqlerN7Zq5HQBUqwKiEc6QoFSrNZ5/0QinKCYBEueSTBAJa/w5OkVMIiEkAc6LSaxXqTu5uzmCqUHjZcsMZ5AKTHJoFpxCQQEf/eg4gFZB6W+/pT71Tc2lZIdHdzcwPq1/IMysS4nU/hVDG9EZRAtbW1vYs2eP18tg+BgmKjFc5caNGxgdHW2ZAEYKsaw7Ho/rX5nRJBgMgue1v71J+66CwSCmp6cxNzdH9ANRya0k7VUiGYETe5W0INGnpEUmnUc4EgKtTRbZTCNyF41Zf53qOY20BCUzsTdRTALMCUrV6u5zIBpRfi6LgpIoJOldX9S0jYpJgrArJmnpzgGd52vLdQlPdjOKX8QkhnUeZ41NrFKChugbaZx0KTmN2y4lM6gJTjSLTZ/854ea/3/q5O6+yssvrypeX+5SkvYpSV1KVvqU5CXdUrRKugEgnbYet//p62t48QPq960Gz/Mdm1RQg7Zi8lQqxSa/MWxBz7OZ0fFwHIezZ8865tjxg6hE25EJPUqlUtNZZrXvyg2sToEzUtathtnoWyZtPsZgN/pm1qUkCknN2+sISnZcSrWaPeVAKiQZQRSUpEJS8zINQUkuJildXxRB1OJuoqCk9Nan504yKibJhSS9y0gKTV6ISc88YX3ymxvY6VUyW9JtNvp2t+8cYkH3++No4O4mm2zkZ/zobvrIR3bF0GqNww++bz82+uiusT4rt7uUfu9/NS8oAfQJLG5A4+S34eFh/SsyGCp0lyzM6GhonrAG0L8+EUEQsLm5ievXr+P69euIx+O4ePEijh075rigdO2q9jSgy1eN+3qUe5Xaefn2roX9XoLcDlg+W0QmnW+eaCSbKbWcSKLkNMrnq82T2dsCDSFJEARVQUnLpVStCoYFpUpVAMe1u5Ok16/zuydAffJbKNgQk+SCUjCgLSgFAoIhQSnAaQtKTsLznG1BSf44OoGbJd1KON2n5FceZa316HnJYmBXwGMuJbqo1TnVkxdUa1zbCQA++KFxTB9QFxP0upREQclI9M0sdl1KVmGikvek02nmVGLYgolKDFdx0qUjOpVohWZRKRAIoFwuY3FxEa+++iqSySQOHjyICxcu4MCBA1T2VMl56832zoKfvpVr+fnard3H/9rbrcJEQFLkbTX6tr2RbZ700HUhOVQCDgCZrSIyW9rjgkm5lJSEJO1oW/tlpVIdpVJds2BbSVCqVHhUKjwCKqqLVFCqVIXmSc25FApxbQJIJNw6+U08hYJANNK+Da/FJF6w51IShSS7YlKtTkfM7c2BD3m9hK6gE6NvZkgUmEPq9dWDnt23m2LTTp7DTp5DQUef+cAHnX1Om3Up3X5LWxRysqSbiUrek0qlsG+f9Xgzg8FEJYarMFGJPlEpl8uhXC7jypUrqNVqOH36NE6dOuVqYd/Xv7p7xE3uVnpiutVOreZWmj44aOo+Tx6zvgOTzzTWIBWRjAhJJDEbfROFJFFMstOVpEetxhtyJGkhCklmY27ArpgEALGY8uMkCkeikCQ/X0qt3hCU5Egnv0kLu6ViktSJ0wlikl1q9cYJ2HVw0TLDwKnJb6S4VXfGGWMUeZ/SvYxxt5YTmO138kP0rVNdSl4KSlqQdjft5HdvF+CAQqn1JEcUlsQ+JblLSd6nRGvszY5LCeheUYmm3zmdTmNkhP73SAa90PNsZjBsEg6HUSjQWntMl6gkCALW19exuLgIjuMQi8UwNzdHbBKfV7z15iZOvad1J0xe2G2X7fUswtGQpogUjnp/9EnPiaSFVZdSPt8QdbW6nPRcSmoikhGXkigkiWgJShWdKFxNsoxYtP0LRjCAtslv0YhylEvLdGangFsPEr1JpPqSajraoCgsGTnuoLctWrDSq+R0nxIALGYaAvzs3nXTt/UCJ1xKicyArQlwTkXfSLBSGcV4xN6XfIb5/iapoCQS4Frfh+XCUk8MOHdxDKl0VTf2ZpT8jvrBVbWSbj2XkhZ2BSWgO0WlWq1GlVNpc3OTxd8YtmBOJYarMKeSt6JSpVLBgwcPcPnyZWxubmJubg5nzpxBf38/akqz1D1Cr1splTImmCj1KskjcE+M8Zq9Stvr2ZYTCexG37RcStnNAkoFnc4iwi6lfL5iSFDSw4orCWh1JulRLvOagpLUSQO0Ckq1moBaTWhzHNV5IBRSFpMioV2XkPRk1JkkRWk7Sg4ku64kwBlnkhG0nEtmt2UUsxE41qdkDrvRNxKQdClJe5VI4qVLaS3nXLRJ6lKKhgWUK2g5+RG5o0lJUDKCKDLtG9YXF6QuJSf6lEYPmHN7y7Fa0g3Q59pxAxZ/Y3Qa3fUKZnQ0fhCVvFifIAjIZDJYXFxEPp/H5OQkzp8/3/IBToPgRQNvp0Yw2l/E9rq6qBW2IZo4RXbTPYdepVJHOBxsikhm0HIpaUWglFxKxWJDXYjHlbcpdSmVy7zk/PZtRSOcolghCkrSwm6pm6nON9xJ8meEIDQmvikJO05NKCI1zc0tZ5IeUueSfFsfOmx88pvRkm7ao29eYzZqZpRH2VEcGvCXqyZbibl2X6s7vRjrp3PQAynUhCWlTjoaWUsDddkRhf7e3c8ZuVtJjfOXxvHaZfuT4czitUsJaLh2olHlYSqdCm2iEou/MezCnEoMV+lmp1IkEnFVuKnX60gmk3jttdfw+PFjTE5O4sKFC5iammo7IhQKhTx3Kkl7lYBWt5K8VwlQditNHxw0Vdgt71Wa37dqfMEq6EXfSBRwZzcLLScz6LmUtC7PbjcOq6oJSlZib4VC1ZSgVCzWDQtK5TKvKyhVq4KiABIK7jqTgIaYFI1wLR1J0i89osMmFGwISu3bazicBIFTPXmF9Ki7XZcTSTdRtQZUqgBPQaE3LdjtVRKjb27R7QXdRmFdSu3IHU00OpvS2403y2Cw9f17J883T4C1Hjxpn5LRLqV37pgTeewISnJ4ngdv8c2atiiYG9AmKm1ubmJ4eNjrZTB8DBOVGB1DMBhEXV5yQhFuuYEKhQLu3LmDV155BaVSCQsLC1hYWMDevXtVRb1udirJp8ABwD973rtxy1qiU3Yrj2K+rHn7SIz8Tkp2u4TsdgmxHnLbLhSqKOjE9KRIxSRAW1CSi0mN81s/7qpVAdWq0HZ+rSYgJNu0VEzaPa+1aDoc2hWTpOeL0960RCOOE8Bx7rdVaxXSqkXr1KjUGicSjqlqrXFqWQ/vT3HJjFjgRp8Sabwu6zYCyejbnfVBrGz7z1HhhKC0VtZ+vjpRzi0IQKmsfHIbUVASkQtLIqK4lN3R3z89f6n99WRGUNo3QT4WByhPfpO7lOr1Our1OqrVKqrVKiqVCmq1Gur1uq7g1I2dSjSJSoIgoF6vU7Mehj9hohLDVZx0Kjm5bRI4KdwIgoCNjQ288cYbuHnzJgYHB3Hp0iXMzMwgFtO36ofDYc+dSkrodSupIXUrib1Kolvp+NH2LwTyXqUnhpXjBl5E37Jb+ebJaaQuJVFIEt1JurfVeGyk0QC5mBSPq+/ERKOBNjFJCyUxCWgVlEQxSX6+6EqSl3KHQlyLmBQJN05Sd1Uo2D7JLBREmzglh0YxSQktcUkUk4xeXw+5mNS2FoeEpWub3gs0bmNUbHEq+qaHEZeSV2uzQqKg/Hi74VLqBmgQmrQIBjlkd+rNkxpKwpIUq31K8pJu0rG3WCyGSCSCcDiMYDCIUCgEjuPA83yb4FStVlsEp24UlWj8nWn/HsWgG7qezQwGAQRBoPKN0QlRqVqtIplMYnl5GXv27MHs7KylCW6hUIgKp9LXvzqEL/x746NwU6ki9u2LW7qva7eqeGq+XdBY24ljtN/a5DS70bdivoxwJKQqIOndXs+lpBd90xKQ7LqUzLiSAIDnBVUxSe5SEoUktWlvAJpCkogoKEn7klpKueutP/O8IPu5IS7J0ROSAHgmJNlFFIoCXLuQpHd9PSrvPj0ofOtuwUxJ9+qO9eJaJ/Bb9I0EWsKZ2Qlwd9bdffxI4bfYmxpaMWk11ISlmE2z2cN3Gjm8wcHWD4FgkEO9rr5Q6eVSYWmgX/mDw6nYmxy7Jd0igUDjczUYbP99eJ6HIAjNf8X/ZzIZZLNZcByHarUKjuOaJ+k2Ow2avqsUCgX09DhX1s/oDjrzlcqgFqffQGmOcZFcWzabxc2bN/H6668jEAjg3LlzmJ+ftyQokV4baUS3klKvkhLTBxs7R0rdSkqcPBZqicCR6FWyQia1AwCuOJLk7GwXUS5Zd6qpuZTyuUpbgakUJZeSXixOKihJnUlqglIwyCkKStK+JEBSyl1vFZR4XmgRlMQYlllBSXQluS0omXUl6W/PmKAkRcu1VKnuCkqA9vQ3APjvZ8iXdDuNESeKmejbrfo8FdE3UjzKjnq9BM/oRJcSLYKSFlI3U7G0ezLC4tLuG2AmU0UmY3/fSe5gOn5yxLCgZAXSLqXf/7UBhWu2EggEEAwGEQ6HEYlEUCgUcOvWLayuruLkyZPo6elBMBgEx3HNOJaWu8lqfxOjHTb5jUEC5lRiuI74geEEojgSidA3NiQQCNj6vXmex+rqKhKJBMLhMJ544gnMz88TEepoKOq2yu03VzH3HmNHxH/6Vg5Pn+ozdN0PfvQwfvDd3S+wTkTfRCHJDZRcSjvbxhxZZl1K+Zz5NlWpkBTTcVS19yW1qznlch09Pe3bEQWllvOirdPfYlEO/LtKSOP/u7ErK2KSF5AUkhrbs3d7uWupovM9TDr9zWnWcw2347XNI3hq7wPn79BHGImX3cuM4+gg2alVJAq6SXcp+REvXEp+Qr5LpiQsxQ0M+5MKS4ODYcNuJSWMdC9JcbOc2+60N0EQsLW1hYcPHyISieDYsWPo69vdJ5M7nEThSOpuEh1OAJo9qoIgIBAI+MbhxPM8VetLp9NMVGLYholKDNdxUlQSJ8D19tIVO7BDqVRCIpHA2toaRkZGcOrUKcTj1iJfatDsVAIabqW9I8bEICVmjvTh/oPdCXDHj0bx9r1yWwTu5dvj+Mhc48vRyek8fmDiPvSib4VsEYP7+lWFpEhcWwi1G30TURKS7JR7S11KcjEpFldfs+hSMhOLi8eDip1JUsrlxk6mkqAUCnFtglIotCsoicw7K0kAACAASURBVGKSKChFwhwTkwjPPjDbteSmuNTJqEXf7m6OYHbvOvH7oyH6RjtGXUqrO70Y6zfnYF2peOP+8oNLySxSoWkj3Tj4FgoFUKspfxZlMlXUagL27LEXGT/59Dhu/LRVrJX3KUkFJa2SbnmfkhmUSrrNIggCNjc38ejRI0SjUTz55JMtYpIaovCiJMDIhSap2CSNlskFJxrEHJpKugFgY2ODiUoM23j/ymIwCCKKSjRjxLIrCALS6TSuXbuGN998E729vbh06RJmZ2eJC0oAXU6lr39Vecdocz2neP7IgUHcfrM1sqYVgRMLu9u2v7UrbqztkH2MM6nsu/+650ySUilVsbNdNOxMkqLnUsrnKs2TGdRibmoupUCAUynhlsbhlAWlSoVHKNSqSlSqredFwmiKSfV6Q1AC2qNugqBdwu1lxI10zI20oCRSrerH3OSYvb4T+LlPyU+YdSkpuamYS8n8c3AtZ088cEJQchKz7yeioGSEUIjD9na1eZKjNinODFZ6lNx2KYn7slevXsXKygqOHz+OkydPGhKU9BDjdKFQqBmpi8ViiMViiEajzcJwMVInFoZLp9NVq9VmzM7NOB1tohJzKjFIwJxKDNdxsleJdseNOGVNLZ5Xq9WwtLSEpaUl9Pf34/DhwxgcdH6HlpayQDuYicG9fW+3vfPGnfYdxfl9q0iVdx93vehbYaeIQYlTSRSR3ELNaZTbzr97Ofk4aD5TQrRHfbtaLiW1nXklQan0btdTj4K4JQpKopgkp1Lh373trgJUqb573rvdTPW6gHiMe/f/aPw/3BCTxDJXcb1hjaeBX8u327dJfJNNlN6au8WJdDM9iRPDScXLzPQpAcDSdgxADE+ObBNYmTpWJ6t1g0tpZTuK8T3Wx4s53aV0a6kfwwP+75zxWkiWksmUMTi42/Ct5VaSIwpLZt1LSm4lq6gJSkZKus0KSqKY9OjRI/T09GBubs7VBIFaYbjUySR3OgG7cToAjhaG0yYqpVIpTExMeL0Mhs9hotL/z96bRzlyl/feX+1rt3pfprvV3bN6POOxPV7G5kLew014gUPAxA6JCbwOx7xhCSSGhNwACZicFy8sdiAGHHa4SSAJcS5cHBMcbkLYx8bYHhzb45npRWq1utWL9tJS2/uH5ieVSrWrSktPfc7pM9NqqVStlmr51Pd5Hps9hdfrRalkbHJXJ/B4PKhWqy1SqVAoIBaLIZ1OY9++fbj22mt7si9Ut9lNFXSXwZ15ehcnrhxpKYEjMAzflFh59NlpzEzwmBwo4Q/fMom/+py2gyklkeSRqp0S0G7pmxgik7Sgt/StmNXYzVQGrScJZUHjcCmhBEjLJJJS0iOUyHFkwN8od/N5W2WS1Lo7nbZMUkOL5+d5c8WS0Sbde7GvUqenvhlhOTeJxcH2+rUYQW0CnNkppTg1gWxp7+3b9aSUBkM8Nnca3xOp30n0yqrzS7V9ajZbE4lCuSSHVLm1UC6p9VZSopN9lGJxSvHnwibdPM9je3sby8vLCIVCOHbsWE9NFROKIa3CSdy/CWhfONE0Dbe7d07Bd3d3ceWVV3Z7NWz6nN55R9tcMliZivF6vchms5Ytv128Xm89ScVxHFKpFOLxOJxOJ6LRKI4ePdrV1FCvjDj93J8N4y13pTXff2ImglQiqzmtVCrRkpPHhGzmA5gcUBaU2e3ae83j6/5JgpxIaielJCx9E8skIyklqlBFICT9OJJSKoum0EkJpVKJlrw9GHTXZZIQIpOAmlAiB/JCoeTz1oSS8E/J8YDXvbdlEi0K6pn98dcTHFVLLQ0NmP+akybdlzJSfZX0ppTMatbdaw26+5H/ShibAmuEzco4Yun2EiilcvPnmkgmq1JKZixXKJe0ppWEELnE0ByGR5T30SStRPopSQklpX5KhVx7F1q3N9TL9nmex9bWFlZWVhAOh3HFFVdY0qrBStSEk7h3k7BcTq5huJxs6rWkkl3+ZmMGtlSy2VP0ek8lj8cDiqKwu7uLZDKJsbGxnrmSQ0rzemlHJ4XWtFJ0IYLYSk36kLSSHCSttJumMTLc/PsLS9+IRGr+uVrKyNqUUrVcRbVs7D2vllJqN5VEoC72W5ITSgSxUJJCj1AKBl1NQsnnddaFktdTE0o+78XeSTwQ8DUaScu97J2WSVaIJKBVJhHMSgy1U4UstQ400906GDP6KSmVwGmlVvrWu7RT+rac605zaTms6KV0bt2PiWHrytI6KZSsolTmWxr6B7uQZiKsxOSlTDZbQbXKYnhY+nMplVZq+rnHifRubf+oJpcAY32U2kGLUNrc3MTq6ioGBgb6UiZpQSmJRIQT+ZfcBjTLJqFkqlarPXHcT9je3sbExKUt423ax27UbdNxLsWeSmSM6tbWFs6fPw+fz4cbb7wRl112Wc/sWNxud0++dlIsP7su+zNx026CuPStVJL/XROpxnv0xS+NIrudlRRK3SKfKdS/lGgnpcTS8vVQWlNKVKFaF0pqSAkloTwqlWhZoeR2O1uEktvjaBFKBNKE2+d1gONr6SSft5FMkhJKTiffUaFkduNtAs3ICyVCO02xabo9oSReB5rhm4TS4xuL7S9chSd3D1j+HAS9/ZSEPJ8aUr1PJ0vfzmW1izcpWN74+50kqy71lFKnORNrv+GyFqgy3/RlFKPbNbdb/nTJ63UhnS4jnW7vIkx6t1r/ksKIUFo7r5we1NJPSY3z588jEolgeHgYNE33zNCXTkEahpNm4aRhOPm/x+OB2+2G0+lsOhcg5yvkNSPNwjvZMJyws7OD8XHj+yIbG8BOKtnsMXotqcSyLNbX17G2toZgMIixsTF4PB7MzlrbpNMIvSrkzIIqVBEM65csV0SL+BcL1kcvUgLJ14Y0kkopFQUxeb9KgkoOOYmkllISIxZKUpCeSuIDfrencXLK0DxCoVqUnaZ5hIJOsFztyjcRSkQmSbFXkklG0NNEu1IFnCavepVuvPY9MAX6ksFog25XF5rVCzG63lJYlVKyEnFKaSfntLRZt1VCSZxSkkIolsh2KhQwf9v59NNpRGRSSFIQsSRMLmlJKzF0899JnF664uQ0nvjxqub1ANSFkhoXnkkgMjaoer8rr7wSxWIRFEVhZ2cHFEWBZVm43W4Eg0EEg0GEQiEEg0EEAgFTG173MuJyukwmgwsXLsDj8eDYsWMIh8Md6d+kBYqiTJnIZ3NpY0slm45jZVKJXAnoNsViEbFYDLu7u5iamsLJkyfh8/mQSqV6tueT2+3uqStMSn2VImODWH52HYuXN6ZVkL5KQGMSnLAETgphbyVxw26g1lcplZbfgVtd+lamyigr98iUX7YO4VQU9VxQEkpKKSWONfcERiyThKKJCKVQqPm2ULixW5MTSn6fA6TKk+cBweA+cDzgdu2NfklC1NJJSiiVxFUEDpGcDLYrl4QyiTAuaBny+MYirptaln281ibdVvRT0jvGXQ9Wlr5J9VXSS2zLg+i4sQsTq6nah3B23PgbtcoYO9lSa9YtR7sT4PSwkQ9hakB+AEOny946lVBSQ3i4Vyw1bzfEksnooWE2XUZk2K847c3rdaFabYgAKblkBLnUkhClfkpGufBMQtP9SJNuKSFB0zQoigJFUchms0gmkyiVSuA4Dn6/vy6ciHTy+Xw90dPTbDKZDJaWluByuXDkyJGW10pL/yYp4aS1f5MavXDOZLM3sKWSjY1JkEaFsVgMPM8jGo3iyJEjTRv6Xk4D9fK6ySEWS2poSStJ9VV61euuwL9845eG1tEIuZ3aCY6SdGonpURXGXj9nhaZZBQqXzuA9ssIJ6mUUqko37Tb4ZAXSsKJb1qEEpFJLpcDHo8DHjQmu/k8NRFCZIjbxXe0JtxKkVSp1n7PdmSSEKnUUkXmfIfjjYslKaHUDYRT4PT0U1JD2FepndI3wvOpIVw2kZH8WT9MfetF+jGlZBabhSAmwwavZJiAlpSSVsSSiedq+wKtPP1046JW9qIkCg3o2+8K5ZLetJKY/UensfSctvQRSSkNTaiXyIohQklLSkkJj8eDSCSCSKT588TzPCqVSl04bW9vIxaLoVKpwOFwIBAItAinXu/1KUU2m8WFCxfgcrlw6NAhDAxoE79a+zcBkE03Ac0JJ6VlsiwLl8u1J4WeTWexpZJNx7F6w+VwOMBxXMcittVqFWtra0gmkxgeHsZll10mGyP1eDw9VZ4npBelUnI5ielFYyd0zz69gXBEXxJBmFZKpByYmeAxMcxJppXanfgmFkZEJMn93GzkhJKelBKRSYB2oVQqKr//lTYPUkKpnli6KJSYi1JCKJRIOonIJPfFC4NCmdRJOlXiVqmaXzZWrmibEKk3tVSq8HBdGlURPY3RErLEtvHDSZJSaofVTTemRzvfi0QLYqGUSjtNbdZtp5Q03PfiBqlINb/ueiQTABTztf2XlFwSp5WEpNNl0BUWI2PW99Bsp+xNa0KpHRwOB/x+P/x+P0ZGmgeocByHUqlUF07JZBLFYhE0TcPlcjWV0pEvcdKn22SzWSwtLcHhcOiSSVog5zVS6SYAhsrpdnd3W/4ONjZGsKWSTVdwOByWRS5JXyW/39org9lsFrFYDPl8HrOzszh16hTcbuWPlNfr7TlxQ3C73ahUOhPl18q3v3A5Xv3/PispliJjg8hu55rSSsISODnEaSVhCZyZqJW+iSWSmUiVvhWzjavP7QoroUwC5IWSGKFQkpNNUkkyl8vZJJQI4tuIUPJ6naBpHn5/TSh5PbUvt+jYcy/KJHF6iPT8NEMuVaq114tMstGCltRSqVJbLstBs1hSK4Hba3Ri6puZPYm6QXLH2bZYsiKlZCV7SSiZmVLSilgyATXR9OzzOXh8LtAS+x2gJpfoKoOhUe2SyONzYXe7th82KpfEaSVx6ZseoWRGk26zcTqdCIVCCIVay4gZhkGpVEKxWESxWMTW1la9f5PX620RTn6/v6P9m3K5HJaWlgAABw4cwOBge0kvPYj7NwlREk4cx+HrX/86dnd3O7auNnsXWyrZdIV+lUosy2JjYwPxeBw+nw/RaBQjIyOaT7B6ecKax+NBoaA8TaxbqCWW5MrgCtmSobSSleQzNZnk8cqLGDXpo6f0TSiT1JatlFJiWa5FJmlFnE7SK5TEuN3NksnnczUJJQA1ocTyGI44wXGAR7C3uxRkkhiOMy6WiEwSQrbf7aSWiEwSQtpyGU0tmdlP6cndA5gc0F4KpLWf0jM7sxgOWCvwjZS+rW66MT+pv15SmFJqp68SAKxtuXX3VVrdNOdQ9lIue9OCmUJpchTY3DH+eCMpJa0UKQ65XQqDI+riJ7NDNYklpbSSECm5pKUETgmxUNJb+taJlFI7uN1uDAwMtCR/eJ5v6t+UTqeRSCRQKtXS2FL9m7xer2lVE/l8HhcuXADP89i/f39LuV+3kRJOHMfh29/+Nu677z5cc801+PznP9+t1bPZQ9hSyWbPYUUZV6lUQiwWw9bWFiYnJ3HVVVcZkla9PPWiF8vfAOCv/yKCt91pvLm5lFhSSyuRvkrCEjhhXyW9DbqJSGr83LrSNrrCwOv3tsikdijmS/AHfZI/U0spKZW7CX8mJZTKJQYh0e3iSW8+X+OqnFAo+X0OuF2OrsmkTpa4aUWPWKqVuanfz0hqSUomiRGmliZHNS3+kkWpr1KvY0bpmxnEs8ZSBUrNujs97a1bZPIODA20t23tRkpJjl8+VWtYn9ulEAhJ7/cAwON1g64yyOzU9rVaUkvi9FO7ySWCGZPehGjpp0SadHcbh8MBr9cLr9eLoaFmkcbzPMrlcl04pVIpUBSFarUKh8PRJJvIl9b+Tfl8HktLS2BZFgcOHOg5mSQFx3H47ne/i49+9KM4ceIEHnroIczPz3d7tWz2CLZUsukKVvZVIkmlduF5Hjs7O4jFYqBpGtFoFIcOHeppMdQOvZqiIiWFUmklUgIHNNJKWkrgrEYskcxES0pJTijpTSkV8xev9MkIJSMEQl7VvkrlUi2poFcoMQyHcNgNlxMIXfSIPA943Je2TBKipxxOaepb8/20p5aosjZZBaiXw10qJXCdKH0zSju9lMzArJRSbMOBMfOHaJmKcAKcVqG0k3NidLD9/k290kcJsDalJKZUrAlDJblEEMolLWklIUK5pLdht9lCaS9BGn8HAgGMjjZfneA4ri6bKIrC7u4uKIoCwzBwu92S/ZucTicKhQIuXLgAlmWxf//+FpHVi3Ach//4j//Avffei4MHD+JrX/saDhw40O3Vstlj2FLJZs/RrlSiaRqJRALr6+sYHBzEwYMHTa2N7nQjca14PB4wjEmjokxE2KfKzDK4+LkU5g41SmWWz25i8cgkAOUSOLmUUiFdE1lu1RST8s+N9DvKp2tli/6gOSefRCapIZVSUjsIlxJKwpSSlFCqVGq3ud2122iaRThM/s8hFHKDYTgEAi6MDjnA87ZMUkMutVQWpYi0iqXafeVTS8LlSk2Sk4Ptcu/l/0oM4NhMXvV+WkvfgFqj5lQ6gCP7zJm+KMZI6Vtyp/ZmMFoCZ4R2U0pmCSUrUEspmd2s20qsEkpFikMo6EQuzyIc7o1myySlJCa7k0dktFXkkbSSECKXggP6L8bsblNgGBYjo+rbkzJVNiyUSD+lvSyU1HA6nQiHw5KDdYTldPl8HpubmygUCiiXy3A4HBgeHsb4+DhYlkWpVILf7+/J6Wk8z+OHP/wh7r77bszOzuKLX/wiLrvssm6vls0epXf3yDZ7GquTStms/qRKPp9HLBZDNpvFvn37cN1111kyxpSUmfl85qU/zKDXyt9II0Gfz4c//708Pvz52gGdWCwJ00oAZFNKiQsbmDkwVf9+dLr56tJUVHr6BSmBA4BXve4KPPq/zwJoSKROIk4pEZmkBSVZxTK1q6pSMklrSonIJEBaKJWKFcWrvUQmiSFCKRRqCCWCUChNTXjg9dgySQ9CsSSWSUL0SCApsSS3bD3CSg4jaSUt/ZT6jV4qgetGXyWCkWbdsQ1zP8NWlr1t5EPYyXXugpTVCSXSKLtQqG3X1eRSJ1NKQrx+L7I7NbksJZekoPIVSbGk1ACcsLtTS6RpkUtSqPVTupRlkhY8Hg8ikQgikQiKxSKWlpbg9Xpx5MgRhEIhUBSFYrGInZ0dxONxlMu1fpOBQKCpdxMpp+u0cOJ5Hj/72c9w1113YWRkBJ/5zGdw7NixnhRfNnsHWyrZ7Dn0yBGO47C5uYl4PA6Xy4VoNIrLL7/c0g1vr0olp9NpWfN0rZDnJ1MpgFqTxWuvvRb4/Nn6/ZQSS8VsEaFI64FYZKz16r1SWknMxDCHVNrZlkxqN6WkJJHaTSlpTScRyN9KKJPkUBJKwbC3RSiRlJKcUAqHvU1CKTrTkL9CoXTA/bN6s05ysEcmy/yf8w3BqBeaqW0fOnF8ZoVMEkKVaq+X2eVwDodDUVTpXaYWtDbp1sp2rnaCqzWtZAV6S9/aSSnppZ3St15JKZktlKymE0JpsxDEZJjqSMkbyzZvI4hcInQywfTEz9YAAJVyFQND8r+7OLUklVZq3LcmhyI65JDb7QJz8UKPnFzaf3Qazz7RvdLfXumnZCVEJlUqFezfvx8jI40Ljz6fD8PDzfWyHMc19W9KJpOgKAo0TcPpdLY0Cw8Ggy2T2tqF53k88cQTuOuuu+D3+3H//ffjyiuvtGWSTUewpZJNV+h2T6VyuYx4PI7NzU2Mj4/j+PHjCAbba5SolV5LBPUCwhGnwv4swvfJNz97BK99a3tiSZxWAlrFEiG1VcXEuL5SNLXSN6MUszWZZLTBt5ysonIUfApJJLWUkpRQEsojNeHkdDklhRKRSYCyUNo36QLQOCj77VPiXlJXAqi9v8goYoqikEgkMMe9AIZh4PF4EAwG8XzpGsV1BRoyiaAnwaMXq2US0Jwg0trEW6sEKpVqUtghHvkms0xAern7xtWfq59IpRsv8tl1c0vgjAglmwbbaRjqqyRs1m1lSul8HBju0J94s9CZ4yE1hJKJ53mEw9pOW9pJKfn8XuQzhRax5PV7US3XNsxaU0tEOInlkpa0kpB2k0tCCioJZy1NuvcyFEVhaWkJ5XIZ+/fvx/DwsKZzFqE4EsOybFP/pu3tbVAUBZZl68cgwv5NgUBAV4sMnudx5swZfPjDHwbP8/jwhz+Ma6+91pZJNh3Flko2ew45qcTzPNLpNGKxGMrlMubm5nDjjTeafqVAjV6XSnqmOZnxXMJUEhFJWp+fiCVxCRwgLZYiY5EmsTQ6PYSdZKNkZCo6IplWEpbA3fy71+Ofv/qYvl9UA1Lih8gkwNyJcVSuvclwcok2OaEklVIqU1UEB5pPwMRCCWgud/P53KAvNjGtCaUarTKpGeGUFzE0TaNYLGKIuoBisVi7Osne2HwfRvn9aKZcKgs8nFUfQ7kEkRliqVwW9WTieE1iSW25SnS7YbeefkpWQlUcCPr0nUxLpZS09FVSSykplcDt1ZSS1dPeOsnmrvWJKHFKSQuFQuN9qVUwaYGklAhELAFQTS0BQHBAW0mt1uSSMK0kRCiXphYmsLHS2gNKqfRtcyWJUKQ3pgb2GhRFYXl5GRRF1ZNJZh0Lu1wuDAwMYGCg9bWvVqt12ZTNZpFMJlEqlcDzPHw+X1045XI5+P1+LCws1IUTz/N49tlncffdd6NQKODOO+/Ef/tv/82WSTZdwZZKNl3Byg2e2+1uajjNMAzW19eRSCQQCoWwuLjY1dGfHo/HlOl0VuB0OsFxnKWiTarETatIEqeVAOXEUiq2gYmoepmTXFpJTCbLYigi/dq026CbIBRJWlEqfRPKKrFM0ptSoi6WyAXC8s+npRxOSigBaBFKXm/jtfb5arurQ/tr60WVa3Lk7f93e0kPj8eDoaGhpgkuV6EEjuPwzSdDqkJJSDulXGWJl83M0rDac6ifxOkRS0Dz+omFUv2+HRBLWkvftPZTIqVvhG6UwOktfdtOAxo2d11Fq1DqdF+ldklm9Jez62nWfT5e+zed5TAcsVb4nIsBgx0Y9nZowYVzK9rSOlIXMoSCCWhIplyOwYDOsrlKuYpqqYqB4dZfXJhaEqaVhFD5kqxYkiqPy+4UERkN6UorCSFySQ+bK+1NidurlEolLC0tgaIoLC4uYnR0tKNSxuv1wuv1tkyR43kelUql3r/phz/8If7pn/4JqVQKLpcLU1NTKBQKKBaL+MM//EPceuutLSV5NjadxJZKNnsOsjMoFAqIx+PY3d3F9PQ0rrnmGnhNTHsYxev1olJRP/HuBiRFZYVU0lLiZpTkchLBgdYrf3JX5JTSSkCjt5K4BO7wggOpdNur2wJdrYJWEI3tpJTaTSUBDZkEyAulQMinWg5Xpmq/o5RQcnuaT5TEQonIJKAmYMwQSko4nU7cfE1t+f9wWnspiF4pIiWT2lmeFCWR7FFb3kXXq0kuFSkeLi0SyoBYqlQ4ANpOoM/EwjgR1S9kO4mw9I1gdglcJ2inl1K79GpKqUBZdxJKhJJRdnJOjA5qk1fnYsaeI5N3YGiguz0ZxZJJKz/5/lL9//l0oS6WfH4vKhcFkpbUEpUvga4wiIxpSwKR1FJQ4SKNWWgVSlpK3/ZKP6VSqYTl5WUUi8WuyCQ1HA4H/H4//H4/RkZG8Na3vhVvfetbceHCBdx7771IJpN4zWteg2AwiKeeegr/+I//iEwmg1AohMOHD9e/rrjiChw6dKjbv47NJYAtlWy6ApEJZjeG5jgOW1tbKBaLeO655zA/P4/LLrusp3YUHo8HhUJvnvwQqeT3m3eQ026JmxiptBIAUPmipFgSp5UiYxFkt7Mt/ZVIWmkqOoKN2G7LcpRK4IyklEr5xnugnV5MSiklhpY/yNaSUqJ0NO9WSygRoSSmQlURijT/DkKhVCkz2L8YAlUbrgKnA6hUrRVKYkh5nVa5pKUcTk0miZdn5OMilkl6l6eWWiJNvlkOmsUSoN5nqVyubSsORDs35UoLUmklq0rfjKSUgJosiU5p268qNejWUgKnl34oezPSVyme5DAsk2Btl3aFkh6MCiWrMXKcmBc1/FZKLpVyFAKDjW07GYghl1oST2EVk92+2G9pTFszb6pQRqVUxfB4s6yRK4ETIlcCJ0QolNotfUsuJwH0t1QiMqlQKGBxcRFHjx7tqXMEOVZXV/GRj3wEZ8+exZ//+Z/jla98pWTfpXw+j/Pnz+Ps2bN45plnEIvF8K53vasLa2xzqWFLJZs9QaVSwdraGjY2NjAyMoJwOIyrrroKHk97B7FW0Ms9lcSlg0Zpp8RNC3rEUigyYKgMTm4SnFIJnBJCiSTErLI5grB8zmdwIpycTFIqe5O8f8jXIpOEKaWKhGgqU3RdKu1fbP5bFikOXo8Db/m17iQ7fvsU1XZqSY9MUluWEnJCSe/y5MQSEUoErWIJUE4tEaF0KdFPaSU9KSWlvkpaaKcErlPEk7X3azrLmi6WuimUcgUOg+Hekrpa4GQ2H3KS6dH/9TRcLhdKFxO9Lk/j/Z1PFyR7HZL0kpRc8vjcoC+WcWe385pTSwCQ3qr1hRTLJT0I+ymZXe5WE0r9S7lcxvLyMvL5PBYWFvpGJiUSCXz0ox/F008/jfe973246aabFJt4DwwM4Oqrr8bVV1/dwbW0sdGaK7exsYB2N+Y8zyOTyeDMmTP4xS9+Aa/Xi1OnTuHo0aPw+/09K256WSq1u24klcSyLBiGAcdxcDgccDqdpu+8v/nZI5K3U3npXgOp2Eb9/5GxWk+txIXabaPTjQMxYUpp+exmy3IOL9R+DyKp5KRQOU+hnKfAVKqyQqldhCmlYragWSgppZQ4Vt9JPZWTEVASQkkIEUokpVSmaJQpGoNDte+FQsnpqJW7lctc14QS4bdPUaqNwYWQi+y1kr32npvnG8uTo1jiUSxpu7KvNQAgPFGjSnyLUCLoPHK3kwAAIABJREFUeetITWdqVyipjUA32k/JDKRK37qJUkrJCjqdUpL7/cwue7MKO6FUw+w0OyFfYJEvsPjmZ4/goc8cBMvWpBMrSvdWS7VeS5LLUJmiBtTEEkkuebzy72GfQF6lt3J1weR2q2+LphZa+8nZQqlBuVzG888/jzNnzmB0dBTXXXcdJiYmel4obWxs4E/+5E9w66234mUvexl++tOf4jd+4zd0TYWzsekk9jvTpu9gWRZra2s4ffo0VlZWMDc3hxtuuAFzc3Nwu2s7bbkJcL3AXpRKPM/XRRI5OLNKJgn55mePgMrkWm4XiyUS+RaKJQIRSwRa1Cz656cbB1OJVON3efFLo2AEcXYikciXFtpNKRGRZKS5txgqT4FSWG+plBKVKyE4KH2iLiWUggN+VKiqpFACICmUihQHqsyjWGTxnt/onc+0VrFUrgClsnaBowWpZYllktaJ2lrXq1DkZGWSEJbTLpeIWCqXubaEUjrXuZOD/0o0kge9VvpGMEuciEVON3spmYHZQomklNrBiGxMZ81L8/WyUNKLXEpJC0QuATWxJCWXxHgDXuTThRa55PG1fk6y23nZ8jc5iFjSSoUqYXMlKSuU1Erf5PopCYUSeY36gUqlgrNnz+Lpp5/G8PBw38ikra0tvP/978ctt9yCG2+8EY899hh+67d+q+OTqm1s9NLfRwg2fY3eDTtFUYjFYtje3sbU1BSuuuoq2d4/tlQyhp7yN6tL3LTy6D9cV/+/sCSOyhdRKZYwPDUGoHZAVczm66VwpLcSUBNLwtQPXWHqB4big8sXVngAjRI4JYHkVrgy2Q7lAgWPgpDSk1ISiiS5/kxioSSXTgKAUqEsOQWHCCUxRCgBtf5JR482JjMWKQ4ul6PnhBJBqRzO6mluZFlKqSSOr6W8tC5LDqpU+3xzHA+nxmbbWsvhikUWLlfrMo32U+qHht1SdLIErpMppdiWpy2hurbl1pWAk10PHUJJS18lM4SSHFaklKSadXdbKKlNfrMqpUT4099sPQ4j0uSW3z8PlmaayuGqpdpAjVCkkYj0BryolqqKfZgIZL8pdyHGF/CiIpJX6a0cWJrF0ETn+xhJpZOeeOIJsCwLr9eLYDBYH3cfDAYRCAR6QthUKhWsrKwgk8lgYWEBhw8f7on1UmN3dxef/OQn8eijj+Jd73oXPvaxj/VkCw8bGzlsqWTT0/A8j+3tbcRiMbAsi2g0isOHD6vGPz0eT89KpV7euXk8HpTLZcX7CCe4mT3FrV1ISRyRS75QAOmN7bpYIqRiG/AFtZXCKHHyv5/AL/79jOTP1ISS3pRSudD+FDchSqkk2ceIZJL44LhUkH/viIVSKOJvEko+v7uvhBJBLJY6Mc2NoKXMrV2xRIRSfXkmiSXhclm29ntIySWzMLP07b8SA5qnaQH60ijtppQIehp2a8FoSim1w2B8xPihZmqbwajBxyd3nJgeNV/+yAklM/oqdarszQqhpGcCnJpQ0ks7KSUpHvrMQbz69meAi7u0wEBNFnm8XhSzhSaxJIRMjxP2VhKT3a4lkLRMWgMAl8eFTKr2GDm5NLUwgdVnVzUtTwty5W7XX389AKBarYKiKFAUhXQ6jUQigVKpdnzg9/vroolIJ4/HY/kxYrVaxcrKCnZ3d/tKJmUyGXzqU5/Cww8/jHe84x246667emJStY2NXmypZNM1lDb2NE1jbW0N6+vrGBoawuHDhzEwoL3hodfrRaXSZgOTSxClFJXZU9ysRCyXiFgiaSWgFhUXiqUyVZZNKwnZ3i5hbKz2uIMHwvjFv5u33sLUk2fUKyuSjKaUWJaVlUlyKSWe4yWTSUKhJJRJ4pRSmaogJLpNSSjl8rXkSj8IJQIphfvqD7RPh2vnY0OpNOEWQ0rh1FyQcL3EMqlpeRcXqEUuSYkluWWzLK9bLEmVvvVzWikctDadoTelRErgNLR26UmSO07QtHmvab8llKTo9YQS0J2Ukphvf+k4AODVtz+DUr5QF0tAYyBGKBKup5UIJLUkt0/1eD2gqzSy27kWsSSVVhKiJpfk0FP6pqV/ktfrhdfrxdDQUNPtPM+jXC6jWCyCoihsbm6iWCyiWq3C5XK1pJuCwWDbZV3VahWrq6vY2dnB/Pw8Dh061JPHpWLy+TwefPBBPPTQQ3jLW96Cxx9/HD6ffL9LG5tex5ZKNj1FLpdDLBZDLpfDzMwMTp06Ve+TpAev14t8Pq9+xy7hcDjAcVzPNdwTl7/1SombESqVCu77H26kUiVMTEzgnXdug6VpBAYbB4ZaxdLpH8Vx6sVzAID5aAhFilOcAqcnpSRVPufxGRNKSlD5oqxwkjv41YJeoVQuVeHyNF63fhdKQn73VyhLxZJemSRGS2qJ52vSR9tkOG2pJaFYUpJVgDGx1A3Ox4GDc+r3s7JBt1xKyWyMCqXUTm1fsrVrLK2U2m5/8puZQskqUmkncgV9siqd5TAc0ffe2sk5sZvR/jxWTICTEkrFYk3whELGSn3MTimJEcoloHn/XcwWZHsfio8npNCaWnJ5XGDpxmuXSeVMLYnTIpLkhqMIcTgcCAQCCARak6Esy9bTTcViEVtbW6AoqqmcjsimUCgEv9+veKwplkkHDx7si2PTYrGIz3/+8/ja176G22+/HY899pjk62Vj02/YUsmma5CNP8dx2NjYQDweh9frRTQaxbFjx9raOfRyTyWgUZ4n1xOqW5CkUi+XuKmRzWYRj8dBURRmZ2dx6tQpOJ1OfOdvG/e56feeq/9fTSxJQdJKmSzbUgKnJJSqpVp6jlFo2GlUGgHSKSXStFwpwSRFqVCSfR2CgwHFUjegJpRabitVERIknKplGvsPDiGXrx0su1wOFAoM3G5n3wmlarWKeDyOw54UXqB/VdNjtIqldmWSECWxJBQ+WtdNq1jKF6R7J0lhtJ+SEGFayeypb2Y2Sm5eLot0FpibNudEXlwCZ6SX0m6mtq2aGO3s4aJQKO3sGiuBS23VZMXwkP7HSvVVsiqltL5RRThs/eurRyhZgVpCicglluUxMGBdLxktKSUphHKJqTLwD9QuINDVKphKtSnJRChTZdDVKgaGmgUQSSsR9JbEAa2ppfnL500tgTMbl8uFgYGBlqoDnudB03RdNqXTaaytrdVbMQQCgZZSumQyie3tbUSjURw4cKDnLtBKUSqV8KUvfQlf/epX8cY3vhGnT59GKGTNsAcAiMfjuO2227CxsQGn04m3vOUtuOOOO5ruw/M87rjjDjzyyCMIBoP4yle+gpMnT1q2TjZ7G1sq2XQNmqbxwgsvIJVKYWJiAidOnDDN1ve6VPJ6vaBpuuekktvtBkVRyGQy9VhyP8gkjuOQSqWaxOTQ0JDsen/r80cBNOSSklgiaaUnf76Jq6+dbFkWVWh9nxF5JIWzjai3knAqU6W6OBJPv1NCLI5KBfVmwVJCiaSUhDJJmFKSEkqXHR+vf9+vQqlQKCAWiyGfz9cl5o1O8xJLpG+SmR9BKbEklSAySyxR1MVx3X2SQtKK1rSSFXQqpWQUklIi6EkrmZFQMhutQklvX6X1jc5s6+KJixM3Q50/7DfSPymfbwgXJcFkdUpJCiKXXvnGpwAA/oEg3D4vSvmaxBbLJY/Xi/zFKbViuSQmu52DPyR9XChOKxGIXJJDqfQtvbENX6i7KRmHw6FYTlcqlUBRFPL5fP2Codvtht/vx+7uLiqVSl06mVFOZzaVSgVf/epX8cUvfhGve93r8OMf/xiRSET9gW3idrtx33334eTJk8jn87jmmmvwspe9DJdffnn9Pt/5zndw7tw5nDt3DqdPn8bb3/52nD592vJ1s9mb2FLJpms4nU6Ew2EcPHjQ9KsMvTxhDeit9ROWuPE8j+npaayuroKiKPA8D5/Ph3A4XL9KRK4U9QLVahWJRAIbGxsYGxvD8ePHdYlJoVyqUDWZQuSSWCx5/Q2hQ0rgCCf/+wk8/t0n4HA6US3JH0CrCSW9KaUy1RBAHp9XViZpTSkJhZJUSqlMlREIy7++SkJJiJRQymZp+HyuvhBKPM8jnU5jdXUVPM8jGo3i6NGjTRKz3VI4cRNuMxt8Aw2xpFaO1q5YIkKJYGZTbql+SkK63VtJT+lbOmtu42ICSSu1k1LSi1godQOSUjIDKxNKnYAIpU4gbtatVyiR7YMQoWAClCWTGkZTSlJ852+vAlCTS0QsMZVqS/8lIflMri6WxGml+n12LwqoEf3lbZGxYWQ1GOf0xrau5WopfbMCh8MBj8eDbDaLVCqFubk57Nu3D06ns15OVywWW8rpfD5fS/8mtXI6s6lWq/i7v/s7fPazn8VNN92EH/zgBxgeVhkraSLT09OYnp4GAAwMDODo0aNIJBJNUulb3/oWbrvtNjgcDtxwww3IZDJIJpP1x9nY6MGWSjZdw+12Y9++fZYs2+Vy1XsA9SK9IJWkStycTicWFhaa7kOaLhaLRayvr6NYLIJhGHg8nrpkIl8+n68jO+18Po9YLIZCoYCZmRlcf/31bV2dEsql/E4GA6O1q2VCsZRcTjYllUgJXHQhgthKFg6L49dC4SSUSUYpFyj4ggFNyaTac8oLpeBAQLLcDWgIJZJSkhNKLpej54USx3HY3NxEPB5HMBjEwYMHFQcIGBFLShPdzBZL+SILl4bSNSNiSSyTxHQqtWR16ZsVaaV4klMsgdObUjIilMSkdpiOlMDJpZT0lMCJhVI6wxgugSuVOyOUCgVGdwmclr5K7QqldvoqaRVKoZCnXvqmBSKZeJ5HONz9KVlELgHAb7z9hbpYApqnxtEX0/NqqSWPzwu6UpWUS3JpJTnEKSW9MqmbMAyDWCyGzc1NzM3N1VsZENTK6Uiz8J2dHcTj8ZZyOmH/JjMvlDIMg7//+7/Hpz/9abziFa/Av//7v2NsbEz9gRaysrKCJ598EqdOnWq6PZFIYG6usQObnZ1FIpGwpZKNIWypZNM1SFmV1VM+epFuSiU9U9yETRfFO0UyUrZQKGB7exuxWAzlcrk+4UMomwKBQNtpNJ7nsbW1hXg8DqfTiWg0ipGREVMlFpFLr3zjUy1iaXAkIlsCBwAvec31+OH/fkx22e2klCpUCSwrfyCpZxqcXANwIcKUUplS7p3kdDlbhFJoINCUTpITSgDqQumPX1sC0BsJODE0TSORSCCZTGJ8fBwnTpzQXLqqVSyR5JtDRfKYIZaKAuHDcrypYqlYZDR/JqXE0uFFc0sXXog5cDja+X1ML6SUCKktGhPj+j5bVqSU1ErgzCh7MzOhlNqqYmBA/2GyWglcJxJKnUwniTFS7gZIp5TUKAjKz9UE02uveAbxeEMmWHER7H89eBhAo6m3XEkcUJNLTKWK8LByKVQ7ySWCnEzqdumbFEKZJOyLqRVhOZ04GcRxXNN0umQyiWKxCJqm4XK5mqbSkWNXrRcsWZbFQw89hE9+8pN46UtfikcffRSTk9LHi52kUCjglltuwSc+8QkMDja/h6TOv3q93YVN72JLJZs9S69OWANqUqlSke+7YzZWTHGTq4EXRpLz+Tw2NjZAUTWREQgEmmRTMBhUne5H0zTW19exvr6OkZERHD16FMGgtvSHUYRXHsk44eHJ1itNJK0EAKWS/MmMXqFUESWR3ArSSKtQEsskYQ8pIUQoiWWSVEqpTJURHGj+W4iFElCTSQBahFKhwMDlcuCm47/E00/XEnBut7vlPdLp2DqhVCohFoshnU63lYhTE0vCUkqe4y0VS0WJBJHZYonn+bbEkhbUSt86SSfTSnpTSmkDckhOKKmlldope9MilNTSSmYLJSvotlAqFhlL+yrFExX4/db3tJE6GVYTTOPj46Aoql4mValU4HA4WsqkQqGQ4eRzoVDA0tISPvQOGouLi/jd96wDqMklulJtmj5bf0w62yKWSFpJSH43p0kskRK4Uq6g2N9RK50qfWMYBvF4HBsbG4ZkkhacTmf97y31/GQ6XaFQQCqVAkVR4DiuXk63srKCcrmMY8eOYf/+/fWqiG9961v4y7/8S9xwww34l3/5F8uqMPRC0zRuueUWvOENb8DNN9/c8vPZ2VnE4/H692traz2z7jb9hy2VbLqKlUklkgby+XyWLL8dPB4P8vm85c/TjSluSpHkUqlUL6Xb3d1FsVhsqn8XygSaprG2toZMJoN9+/bhuuuuUxVQVvDtLx3Hq29/BunNbeR2a1f7r752EvPREFZjtR5GpAQuPBxBIZ1teryaUOJYtkUiCVESSlqQSibJCaX6Y1TSSeTnYqEEtPZP8lychicnlN77OgbA0frtJLZO3iMktk4O/oWyyaqmnJlMBqurq6BpGtFoFIcPH277MyMlloQySYgVYklKJglpVyyVRL3EOiGWtKKWVurm1DerU0oEI2klXcvXKJSk0kqdSCjpKYETCqV8njGUVhKjRSYZKYET082EUjxhXGAYSSkpURAN0Pj/3uQAMIKRkZGm2zmOaxpzv7OzU+/L4/F4NI+5z+fzWF5eBk3XZBJ5nm9/qfbvq29/Bh6fF6XcxeTSRblE+jCR4watqaXggPLUsFKuAFeP9L5Ug2VZxONxJJNJU9oZGMXtdmNwcFAyzVOtVlEsFvHss8/i3/7t3/CZz3wGm5ub4HkelUoF4+PjuO2223DjjTdaftFTKzzP481vfjOOHj2KP/qjP5K8z2te8xp86lOfwq233orTp08jEonYpW82hnHoPKG/9OqUbCyFpmnLeh+dOXMGi4uLij1PugUZe3/8+HFLli9V4ib8t5cQ7rDJQV0mkwHHcfD7/YhEIi2ldN36PV59+zOYPRytl8Ctxor1pFJsJYtg2IvHv/uErmWq9WIyklKqFEvwBuRlqppUEiNMKSkJJZe7+UCQCCWgWSo1CyVtkIN/Elsn/5KriMID/1AoBK9Xn4zjeR6pVAqxWAw+nw/z8/OWTGj56g+CsjJJjJpYArSJpUKBhUPjBV8tYkn8vGKh1Hw/7Z/Vowe1n1BrSSrlCs2vs5xYMksqkbSSmaVvwrRSuyklLVJJS9mbVFpJT0qpXakkTitpTShpkUpSCSWjUomUwOlJJxmRSsMRpy6ZpDeppNZTSUom6U0r5XLa19/IhciaVNIHKfEX7nOEfXlCoRCcTid2d3cBAAcOHNDUiPkVb/hFbRmC1BIjSiURuSROKxHI7ZEx+efbim8orofW0jerkkpimTQzM9Nzk9uk4DgO3/ve9/CRj3wER44cwRvf+EaUy2W88MILeOGFF3D27FlkMhmEw2EcPnwYR44cwTXXXINf/dVf7eh6/uhHP8JLXvISXHHFFfXE1913341YLAYAeNvb3gae5/HOd74T//qv/4pgMIgvf/nLuPbaazu6njZ9gaYNqC2VbLoKwzCKvWLa4bnnnsPExARGR0ctWX47UBSFs2fP4uqrrzZtmVaUuHUKhmGQTCaRSCQwODiIaDSKcDgMhmHqsokc1JVKtVSPONnUqVGyb7831ySVADSJpdjza8jvaDv7M1MoVYrNaSc5qSQllMST74RICSWgWSpVLvZUCg42bquWqghFat8ToZTJVOF2O3ULJSXIlULhe0SqR4KclGRZFolEAuvr6xgeHkY0GtU1QdAIn/lXbf2YgPbEUqHQvG21QiwpCaXG/bQtrxtSycyUkl6ppDWlRMSSGaVvSmJJax8lsVQyUvZGxJKRlJJQKukteVMSS0olb0bFkpbPhxAjUqlQ0PcaGil/kxNLcukkIyVwWsWSXqlkRCgpwXEctre3sby8DIZhEAqFwDAMGIZp6ikp7MsjVcYllktisQQoXwASCicpuWSGVLJCKLEsi7W1Nayvr2Pfvn2YnZ3tC5nE8zz+8z//E/fccw8WFhbwgQ98AIcPH5a9fz6fx7lz53D27FnwPI/f+Z3f6eDa2tiYii2VbHofK6XShQsXEAqFMDU1Zcny24GmaTz55JO4/vrr215WN0rczIL0rNnd3cX09DRmZmY0TeHgOK6plI4IBZZl4ff7W6bSmTnZA2gVS0bSSu0IJaAmlcQiiaA1pSQsu5M7eA2EAy3lcO0IJQAolxnTD/SlUJKSPp8PNE2jXC5jYmICCwsLmptvm4HVYkkslBrL0vacamKpWKydyOopW1PbJmmVSkaEEkEslswufdMzKUurVAr49fcVkeulJCeV9DbmJmKpnT5KvMGQMpFKRnooSUklLf2TjEglvUKJoEcspVJlBIP6163dtJJaqZtVUqlTKSU5stkslpaWAAD79+9vSbOSfY4w4VQqlcDzfEuiNhgMwuv1wuFw4BVv+AUCg2FJscRUGYSGpBP34iSTWC7JiaVupJTIBRwyXWxubq5vZNKPf/xj3HPPPZiYmMCdd96Jyy+/vNurZWPTSTRtRO2eSjZdxUrx4fV6Ua325ohyt9sNhmkvqaFnilsvwfM80uk0YrEYGIbB3NwcDh06pKsho9PprAsj8bJJaqVYLDZN9iANoMPhsGp/BL0IG3YDwMKJQ1g5c072/u0IJbpUhsvjQYUxLpTEPZzkhJLD6TBNKBFyuQo+8pbO7HrcbjcikUjTgX8+n8fKygoKhQJGRkbqzVvPnDkDjuPg9XolS+nM/lz9/ivKmsWSnh5LcjKpsSxtYkmpxxIRSoC+fkh6+iz1Et3upZTaqmJiXHs5p1JzbrN6K7UjkwAgn6URHjC2Hju7jGk9eKxoyL2z0xAuRoSPFlKpxnaZohjLnkdMO32TuoFZQonIJIfDISmTCFL7HKA1Ubu5uQmKolCtVuF0OvHx9wURDLoRCkXw//xhrEn6uL1uFDN5WbHUtJ7bacWSuG4glElTU1Nd64+pF57n8fjjj+Ouu+5COBzGJz7xCZw4caIv92E2Np2g9z/VNjYG8Xq9HWmGbQSjO6V+LnFjWRYbGxtYW1tDOBzG/v37WxoitovD4YDf74ff728pe5RqAC2c/iIupVOTXE/+fLOeViKQht3j04NYfab58TzHqcokoFko0aXWhtlGm2/6ggHFhuBiKlQJ/rB0w0kik4RULzboJkJpajbSJJPcbmdHhZIQnuexs7ODWCwGh8OB+fl5DA8Pt3xuhP29yJSglZWV+oG/VCldO9NpzBZL+TyjaVtgVCwJZVLT/UwQS3pK39pB2LRba0pJK4UCg0IB2DfVXnP9TqM3pQTUpNBAxNi2KJ9tb0pbLldFKGTsuYUNu/UIJa0Nu4VCyQqEMqmT5Aocsjr+buUyqzutVCpWEQjJf3asGuqiRCaTwdLSEpxOJw4cOGD4mEXp2IRMzCXppvs/EABFUfjz+xx1uUTEEoAmuSQ1JS57sU42MjYMb8DXMgFOS0qJyuTw6D9cp/8XFcBxHBKJBNbW1vpOJj311FO466674HK5cO+99+LkyZN9cZxtY9NNev/TbbOnuVSTSnrp5xK3crmMtbU1bG1tYXJyEldffbXuJspm4PF4MDQ0hKGhoabbhQd0hUIBm5ub9bi6VCmd+KCITIETp5Vmj8xj7ewqgJpQEv6rhJRIIqgJJbmUktJYYXFKiYgnKaEUHAi2CKXgYLAulOrPV27+vltCieM4JJNJrK2tYWBgAIcPH0Y43DrSmeBwOODz+eDz+VqmBJH3SaFQQD6fx8bGRv19Qpq2CoWTFQfPcmJJ2FNFaxpIr1iSE0r1+xkUSyWKLNf60jeC2jS4dlnfqCqKJT0ppXy+9vpoTSsppZQIwrSSUaFE/tUrloRCqZDXn1YiJVLFIt2WWKJpc9NncjLJSIpIbgqcmUKpWGQ0l8ClUqRk2Nrt9+R0GJvJQv17JcGkhXZSSul0GktLS3C73Th06JClA1/kJuZ+9+/5erPw2/44AbfXDabKSMolKYhcYmmxDGze51OZXHu/gAiO47C+vo54PI7Jycm+kknPPPMM7rrrLlQqFXzoQx/CDTfc0BfH2TY2vYDdU8mmq3AcB7plh2cOhUIBFy5cwJVXXmnJ8tvlZz/7Ga677jrFmvJ+muImhOd5ZLNZxGIxVCoVzM7OYnJysq1UR6fheR7lcrmpb1OxWATDMPB6vfjCvx0CAFx97WS9YXcqcXEscCSAYNiLJ/7PU+AY83qGKUklsVASiiQtTbuFKSYpoVShyi1jjMVCKRQJolquInqwMemtG0KpWq1ibW0Nm5ubmJiYwNzcnGUik+f5en8vYaNw8j4Ryyafz9fy+W2nv5Jck16t2wgtYql4cVqfFrTej6IYOAXrePKEttfADKkEACNDWptpa5MP4r+D2VKJoCSWtAglIW6P/v2IOGWkRypJJZT0SCWpnjt6xVIuV9suBgLGhJRUWkktnWSkNE0olbTKJL3PoyaViEwi6JVKRvoqCaVS07KC+v9eRqTS7u4ulpeX4fF4sH//fsWLEN3ilW98qun70NCA7JQ4Qikn/brKYSSlJJRJExMTiEajpveztIrnnnsOd999NzKZDO6880685CUv6fnjbBubDmL3VLLpfS7lpJLH46lPqBLSzyVuHMdhc3MT8Xgcfr8f0Wi0JRnULzgcDgQCAQQCAYyNjTX9rFqtAv+mfqA/cyiKxLlY/ft2BJMWoSSVSFLqsURQK4uTEkq151MXSrs7Jdz3js4k04rFImKxGLLZLGZnZ3H99ddb3giUlE8Gg60iTjiSmpTfVSoVOJ3O+mNCoRBue3EI//NHYxJLb4WkldQmPpmRWCoW9PdO0pNY4ngeTocD4QEPXlhmcXhR+W+lRShpJZ6oYm7GuvelXFqpHaGkhF6hVCzSiAy1//trTSvJlbxpSSvpGTevvJzG9rFUog2LJYLWUjejaSWKMmdCpl7EMolQqTCWp5Wk4HiAKja/f4IqMlGPUCJ9HpeWluDz+XDkyJGelEmE7/ztVQAacokklziWlS1ZDwyGdYslrZBEcCwWw8TEBK699tq+kUnnzp3Dvffei/X1ddx555146Utf2hfH2jY2vYidVLLpKqSHiVXHo7gxAAAgAElEQVTL/ulPf4oXvehFliy/Xc6cOYPFxcV65LmfS9wqlQrW1taQSqUwPj6O2dnZjk7S6gZvv7cRGR+ZaByAphJZhCO1BNBOMgN/2I+VM+fgdDefMOsRTHJCicTa9SSYCHI9lsQHpXJCye1pPrnw+NxNQgkActmK5UKJ53lkMhmsrq6CZVlEo1GMjY319OeGZVnJ6YVPpP8vTY/P5bUnh4wmlooy0sqMxJL4ZHlwsPEeURJLZqWUgEZ/KCWxZDSlJEQolswSSlJpJSNSCYBmsaTWB0lOLGntnyQnlrQIJbW0klAmCTEqlapV/RcH9EilbKa2vh6vfiFuNK0kJ5LEdCOtxGk48xBLJi1Sief5ejLJ7/djcXGxZfhHv0AEE3dxmrKUXNIqlf72gfn6RQ+ldDnHcdjY2EAsFsPY2Bjm5+f7RiatrKzg3nvvxfnz5/GBD3wAL3/5y/sqSW9j02HspJJN70OkiRUNGHv5pBKoJZWq1WrfTnEDgFwuh1gshmKx2LFkSK/w4HsHm8SSkEK2VBdLLM0gMjmKwm5OoreBOi6PR/FxRoQSIJ1OEh6IVijpJFaFKiMUab6K65E40chlK3B7rDtI4zgOqVQKsVgMwWDQksbvVuFyuRAOh1uuhl/Pl/Dgd+WbqOby+pNDRhJLckJJz/NK3a9byQsxav2hzEStv5IRxP2VjAolAMhmqqpiyWhj7XYacutJJ8n1V5KTSQS9aaV8vrE8vXJFS1qJyCQCXWUNiSU9aJVJ3UKLUAKak0xqFzLI4Ibl5WUEAgEcPXq0b2USgaSXAODlr38C5QIFoHmfriWt9D8/OYd8Pl+fTsfzPHw+Xz1VGwwGEQgE6sNOxsbGcPLkya70yTTC2toaPvrRj+KXv/wl3v/+9+PVr361pTLp9ttvx8MPP4yJiQk888wzLT///ve/j5tuugmLi4sAgJtvvhkf/OAHLVsfGxsrsaWSzZ6nF8dY8zwPj8eDTCaDQCAAj8fTNyKJ4zhsbW0hHo/D4/Fgbm5OcpLWpcRuqtCUViKMTg9hJ5nB4EhNdhR2axJKj1wySyhp6bEEtMokYUpJLJTKVBkDw7XvhSklIpSs6KPEMAzW1taQTCYxNjaGEydO7JlUnMPhkJwIl5NJrZgtlgp5WtP9jIglOaEkTCkBkC2DMzOlJESuDM6MlFJjWfqSLVrK3ohYakcoEZTEklYxJC6D0yuUhGVwZpS7qQklghaxJJRJZiMWSe2iRV6l083beK8OcaW3BE7PFLitLarpe61CSSs8z2N7exsrKysIBoM4duyYZNlyv/Pdr1/T9P3LX/9EXS4FBsN14SQ1OGRqaqrpe57nUalU6mXcKysryGQycLlc8Pl8KJVKiMfjTZNze/HCYjKZxMc+9jH8/Oc/x3vf+1587nOf60gy6U1vehPe+c534rbbbpO9z0te8hI8/PDDlq+LjY3V2FLJputYlVQCaokAlmV7ZvKEsMRtbGwM8Xgcv/zlL8EwDNxud8ukMammvt2CpmkkEgkkk0mMjo7i2LFjCATUR9NeakzMRJBKZJvSSgDAMRzCI4Mo7ObqMshIcomgVSiJ+yzJCSV/OKgqlISUBd93QiiVSiXEYjHs7u5iZmambybKGEEoluSEEsEssURkg1YBpUcsURQNl0v7AbyW/kpGkUopGe2vpEUoAbXeO6Oj6r3NAH19lFZjRQwOalsuIC2UCFJiSa8YaieZBACpzSL8BkvSyO/GsvrFopxYUpJJRvoLEeGjRySZlVYSi6ReQSySAMDpdoJjjE3nk0op8TyPra0trKysIBwO4/jx45fUsYtQMr389U/U/+8QSBWe4ySbc5OJqOl0GolEAiMjIzh+/Di8Xi84jqvLJoqisL29DYqiwHEcPB5PXTKRlJPf7+/48WwqlcL999+PH/3oR3jPe96DT3/60x2VXr/yK7+ClZWVjj2fjU03sXsq2XQdmqbrpV9m8+STT+LIkSNdvxqlZYobTdMtk8aETX2FsikYDHZs51woFBCLxZDL5TAzM4Pp6ek9ezJvBKneSsIpcECtt5LH50YmlUGpUJsUx4suw+oRTEpCSQk5oeSQuGJHhJJQJpGUEhFKA8PhJqG0s1WEx+s2tY9SNpvF6uoqKpUKotEoxsfHL5neB/d+Q/vnrJ0eS1KyQev2Re15KaqxbLFYEqeUxAjFkllJJaXSNyKWzEwpAY2UlppY0iOUSqXG66pFLCkJJSFELBkRRBRVSxgFg/o+/+RxBL1iqVRsPN7rN75vCgQ8ulNJWsWScB3dHv0ntUbEUqWi/f2kJ60E6Cv/EyaVpCSSFAyt/5hQvN8Ry6TFxcVLSiap8fLXP9GSahLC8zw2NzexsrKC4eFhLCwswOfTJrGFQyrIv+Vy7bghEAg0TUUNBoOm92La2dnBJz/5SXzve9/Du9/9brzhDW/o2nHrysoKfv3Xf122/O2WW27B7Ows9u3bh49//OM4duxYF9bSxkYRu6eSTX9gpRwhE9a6gd4pbh6PB0NDQy3T0liWBUVRKBQKyOVySCaTKJVqfRCkZJMZV2FITDwWi8HpdGJubg5Hjx7tmdRUryOXVgJq43+LmTwcTgcYlTHAUoiFklhGyQknKaFULVXgC8kfZKsJpUq5sf5mCiVyMhCLxeDxeDA/P49IJGK//xTQM3WNoCQa2k0sCWVS476cocRSJ4QSUEssCUe5K6FXKAHKiSWjQgmolXrJiSWtMomwmSy2LYUoqqppGeLHEcoXfz8luSSUNEKq5drrqFUulUtM0//19oGTSyzJrR8AMDSrWyxpSSwVC83Pqed3qVZZ3WJJK5vJApxufa+r2+M0JJaA2rYrlUphZWUFg4ODe6pE2kzkhJLw9RsaGsLVV1+tWSYRvF4vvF5vy/Esx3EolUp10ZTJZEBRFBiGgcvlapFNgUBA10WkdDqNBx54AN/5znfwB3/wB7jnnnt6unn4yZMnsbq6inA4jEceeQSvfe1rce7cuW6vlo2NIeykkk3XYRgGLGt81LoSL7zwAoaHhzE+Pq5+Z5Po1BQ3snMWT5BiWRZ+vx/hcLhJOGm5SsMwDNbX17G+vo6hoSHMzc31fQNLqxE369aSViIH2GQUsBG5JIWRkjgpqSQlJkORcItQOnR8BoB5QollWayvryORSGBoaAjRaLTrKcNuoyetBGhLLDkcDs2ywUhiSUooNd+39v5XSyoRxkfVXwMzpBJQk0ATE8onoEaEkhCxWGpHKAkRiyW9QqksWHY7UkiIeDlaHiNEKJaURI0cQrkkFEhqaBUywjLfP/mM/vUzklrSM31Oj1gyI62UTcs3/tYrlvRIpfve4a0na1ZXVxGJRLCwsGDLJB0IZVIkEsHi4qJumdQONE2DoqimhFOpVALP8/D7/QgGg/B6vXj++edxxRVXYHp6ui6ccrkcHnzwQfzzP/8z3v72t+PNb35zR9ddCaWkkpiFhQX8/Oc/x9jYWAfWzMZGM5oOBG2pZNN1WJYFw1gzjWdlZQUejwczMzOWLF+IlhK3TsDzPMrlckspHcuy9Tp34ZfX6wVFUYjH40in09i3bx/27dvX01d3eg2pEjigJpaEUgmArFgC2pNLakJJ3FsJ0C6UXJ7mkwdvwNsilIq5Ev76fRG9qw0AqFQqiMfj2NrawtTUFGZnZ+33nwAzxVI+T6veR4wesaQmlAjDw9pO9splFnMzyicHZgolgpJY0iKV1CbdCcWSVqmkJJQIRCzpEUplheVKySW9YoihOd0JoI++7dL5/HMch2QyiXg8jpGREczPz6ueEP/xpxt/AyLzhbcJMVssFfON59GzHdErlYBG8sypkHD8+O97sLGxgdXVVQwPD2N+ft6WSToQlgkODg72nIwjx7QURWFjYwP33XcfLly4gHQ6Da/Xi0gkgqWlJbzyla/EO9/5Thw/fryn1l9JKm1sbGBychIOhwOPPfYYfvM3fxOrq6t2Ktum17Clkk1/YKVUWl9fR6VSqY/rNBu9JW7dplqt1iVToVCoR48dDgcGBwcxOjpaTzh1o6liv0H6/Tz4yELT7WpppZ3kDlwuF5xuJwq7ObA0DbevcfKmVy4Z6bEkFkr0xef0B5tvlxJKAHDo+Ax2tmr9oYymlAqFAlZXV1EoFDA3N4epqalLpl+SXszor0SEktr9pFDbFpQuyiSnxmXqkUoAFMWSFVIJkBZL7aaUxGhNh2gRSkDjJDwQUv88KsmkdpATQsL9D0kjVCoVOByOplJu0ty3F6dImQlJZq6trWF8fBzRaLRnRrP/0QPNFyHu/4PWzx+5T6fEUsuyXE78wavWkUwmMTIyoqvnj02jzcHy8jIGBgawuLjYUzJGiVKphC984Qv4+te/jpe97GU4ceIEVlZWcPbsWZw/fx7lchlTU1M4cuQIjhw5gsOHD+P666/H4OBgR9fz9a9/Pb7//e9je3sbk5OT+Iu/+It6S463ve1t+NSnPoUHH3wQbrcbgUAA999/P170ohd1dB1tbDRgSyWb/oDjOMv6Hm1tbSGdTuPw4cOmLrdTJW5WwLIskskk1tbWMDg4iLm5OQQCgZZkU7lcbjnYJwf8l/KJP8dx9X4/Pp8P0WgU7/vr5tcju53D4uX76lIpu1371x+8ONFrN1s/YaJyBQDGJsFJySThcuRkk1Ao0QKBpVUojUw2+iR4vG785skn6v0QhF+BQKDlM8HzPHZ3d7G6ugoAmJ+fx8jISF98drpNO2JJLJTk7qeE3N+oJEonqYklvUKJICWWrBJKBKFYMlMoCZsoDwzInwhrlUmA9Mm3lFzSIpOUkkLVahWxWAxbW1uYmZnBzMxMWwJIPEVKWMrt8/ma9j0kXdvP2wuWZbG2tob19fU9ncyUKwc0Syy99srTcLvdcDqdcDgc8Pv9Le+Vvfi6totQJvVbA/NyuYyvfOUr+PKXv4xbb70Vd9xxB8LhcMv9SCnk2bNn619vetObcMUVV3RhrW1s+h5bKtn0BzzPo1o1p6eMmGw2i3g8juPHj5uyvF4pcTNCqVRCPB7Hzs4OpqamMDMzo3pVVHiwL7zCzPN8fYKH8GsvX1mmaRqJRALJZBKjo6N1GUdQ662kRSwBxuSSFErpJV8o0CSTauvVKpr84UY/IzmhRBJKDMO0vFeEDeWDwSBomkY6na5H7KUOBm2k4XkeOzs7+MJ/TGl+jMvlkJVJ4vtpRbytEwslIXJyyahUIgjlkppUakcoESYm/JYJJSFiuaQ3naTEx36//QRMuVzG6uoq0uk0otGo5clCcmwg3v9Uq9WWqahkG9PLFzwYhkE8HsfGxgb27duHmZkZe5KqBt79V+Wm73/7+qcwOjqK+fn5+jGMuOyf7IvMagC9FyD7kOXlZYRCob6SSdVqFX/zN3+Dz33uc7j55pvx7ne/u6UJuI2NjWXYUsmmP7BSKpVKJTz33HM4efKk4WX0W4mbEJ7nkclkEIvFUK1WMTc3h4mJibYPpnieb2kSTvo2Ca8sC/s29SsURSEWiyGTydT7TUmdCIilkpa0EgBJsQS0J5eUhJLT3Sr+lIQSffGzGYqEUS1VMbUwAUB7yVulUsHKygpSqRQCgQA8Hg8qlUq9oTw50A+Hw/VGnDYNOI7DxsYG4vE4BgYGMD8/jwce0da7qlikDTXaVsPhcCjKJCFSYqldqQTUxJLVKSUhdJVFZEi5tKYdoSTErSHJoSSSzBBIQorFIlZWVlAsFjE/P4+JiYmu7//IVFSxxCZNfYUSoduJFZqmEYvFkEql6qPD9/IFGLPhOA7r6+uIx+OGygQZhmlJwVEUBQA9916xApIOXlpaQjAYxOLiYt8MwKBpGl//+tfx4IMP4lWvehXe8573YGRkpNurZWNzqWFLJZv+oVJpbSJsBgzD4IknnsCpU6d0P7bfS9w2NzextraGYDCIubk5RCLGmijrQerKcrFYRLVahdvtbplI5/P5evL15Hke6XQasVgMLMtibm4O4+PjqusqFEvZ7cb/Q5HQxduUxRLQvlxSKonzBKRP5v3B5uSSmlACgL96t/JBqVDGzczMtJxI8TyPSqXS8l6haRput7tFTF5qPb4YhsHa2hqSySTGx8cxNzfX1C9ErRRO2KjZbLFEUTScOv4WQrFkhlAiRCLKJ39mCqWm55WQS2YIJbVpV+1OV9RLLpfDysoKaJrGwsJCX5SpCpv6ClMrNE23JFbIdsWqxEqlUkEsFsPOzg7m5uaaplXZqMNxHBKJBNbW1jAxMYFoNGqq8BGmm4TvF5JuEifh+i3dJJRJgUAA+/fv7xuZxDAMvvGNb+CBBx7Ar/3ar+FP//RPOzrF2cbGpglbKtn0D9VqFTrfi5r5yU9+oqvxXT+XuAmnaE1MTGB2drZnGlfSNN0iECqVSksZA+nF042DN5IKITJufn4eAwMDmh8vlVYCGlKpdpu0WCoXio31YLSPjBZChJKUiJITSuIr5lqEUjFL4Ysfkh55m8lksLq6CpqmEY1GNck4MeS9Qg70C4WCZEPfvdjjq1wuIx6PY3t7uy7j5EpkpMSS3NQvs8SScLqbEbGkRSppEUpE0ExMSJdvWCWUhBC5pLYcNZkkHEvfC6TTaSwvL8PhcGBxcXHPlJmIEyvCEl1Szi3cvhgtTSuXy1hZWUEmk8H8/DwmJyf31DbKaoQNzK2QSVoQl3OLx9uLy+l6LWFLZJLf78fi4iJCoZD6g3oAlmXxzW9+E5/4xCfw4he/GO9973sxPT3d7dWysbnUsaWSTf/QbanUzyVuQK13VCwWQ6lUwuzsbF9N0RKWMRQKhZZePGKBYEXZQLVaxdraGjY3NyVTIVqRk0qAfFoJkBZLgHG5JEZKKDGVKnzB1hNyl7dxIqVVKImbl8/Pz1uSjFPq8SVs0kreK/1UxkAm4RWLRczNzWk6ERVLJbUx8u2IJUqm3E2PWBod09a/Q00qSUkasVxSk0rtCiUAYOjGz6UaYivJpF4TSaR57+rqKnw+HxYWFnQJ9X5GXM5NtjEsy7akJoPBoGxqkqIorKysoFAo9EyZYD/BsiwSiQQSiQQmJycxNzfXc9twqXSTMAknFE3duEC2u7uL5eVleL1e7N+/v29kEsdxePjhh/Hxj38c1113Hf7sz/4Ms7Oz3V4tGxubGrZUsukfaJquyxyz+clPfoIbb7xR8uCun0vcOI5DKpVCPB6vTyGLRCJ9se5a4DiupW8TRVHgOE6yb5ORg89CoYBYLIZ8Pl+Xce1Kq3bSSoD5YkkslJiLZW5qQgkAPBevvhKpJBZKDMNgfX0diUQCIyMjiEajXWn8KW7SKixj8Hq9LROBeqXskpRZrq6ugud5Q5Pw7v2GW1UmCdGzbCKX5IQSQatY0iKV9KSUpJiYCHRcKIkxu6eRlZApSbFYDOFwGAsLC31TItMJhAlbIhHIZFSSbnK73djd3QVN01hcXMTY2FhPbF/6BfE0vLm5ub5sYC5MN5F/O5VuSqfTWFpagsfjwf79+/tmCAbHcXj00UfxkY98BMePH8cHPvABLCwsdHu1bGxsmrGlkk3/YKVUevzxx3HllVc27cD7ucRNmKoZGxvD3Nwc/H5tfUr2AuJePCTdJBYIwibhwr8rmYASi8XgcDgQjUZN7RWiJ60EAKV8rYeSsBeSWCwR9AomoVBiBD2TxEKJrlThHwg23TcwUDsoleqjJCzRmp6exszMTM9dUSZI9fiqVCotPTM6eVWZCOFYLGaozFLMB76ib9es9b1eKlZ1jf9WkktWppSEVC/KILkyOzWhZFQm9ZNIAmrvwWQyiXg8XhfCl9J+pF04jsP29jZWVlZQrVYRCATAsmx9WIW4H0+viOxegmVZxONxJJNJTE9PY3Z2ti9lkhpqfb7aSTdlMhksLS3B7Xb3nUz6/ve/j3vuuQcHDhzABz/4QRw8eLDbq2VjYyONLZVs+geGYcCy5pT6iHn66adx4MCBegy4X0vc8vk8YrEYCoUCZmZmMD09bU+QEaEmEFiWRT6fRyQSsbS8Q04sFbN5TESnLt5WE0tEKgGtTbal5JJWseSQOShtRyjl83msrq6CoihEo1FTJgl2C1J2SaSkcCIQSSAIv8z4rJHyjvX1ddNP5M0WS6ViQ0KaIZbMSClpFUpChHKpHaHE0Cz+x+uyTSeFvZ6Ek0KYCpmYmMDc3FzP9YPpdbLZLJaXl8FxHBYXFzE8PFz/GRlWIS7TrVar9f6BYuHUr9tQowiHEExPT2Nubu6SPZZRSjcJE9nkPUM+q0QmuVwu7N+/v29KVXmexw9/+EPcc889mJmZwQc/+EFcdtlllj7n7bffjocffhgTExN45plnJNfpjjvuwCOPPIJgMIivfOUrbU2MtrHZg9hSyaZ/sFIqPfvss5iYmMDQ0FDflbjxPF/vVeNyuUxP1VwKlMtlrK6uYmtrCwMDA/D5fCiXy/USBisaPyulldTEUrVUQWCwJnVKuQJ4Awk+LUKJTHuTE0p0tYq5w7MX15nC7796FS6XC/Pz8xgaGtqz70GO4yRL6UgCQarsUu21qFariMVi2NrasjTZZZZYEgolQjtiqRMpJSmhJIRMVguFWwWKlEy65/e0neSKRTZFUZIDCIhM6JZAoGka8Xgcm5ubezoVYiWkgbnT6cTi4qLuvnFEZIsTK0KBIB5tv5e2swzDIB6PY2NjA/v27cPs7OwlK5PUEKebhKWXZJru+Pg4RkZGujrcRCs8z+P06dO46667MDw8jA996EM4duxYR97fP/jBDxAOh3HbbbdJSqVHHnkEDzzwAB555BGcPn0ad9xxB06fPm35etnY9BG2VLLpH1iWBcOo97nQAylxSyaTWFlZqTfcFI6179UryjRNI5FIIJlMYmRkBHNzc3afC53kcjmsrq6iVPr/2Xvz6LbKO4/7K0u2LFle5V3blRxkKRC2xBCGpYGGMmdKS3tKS2mhtJASykBJh0KTMoXkfSdNSGloG0rzDgxLoQQINBPachJS2kzLYUlDmSnj2MZEu2V5kRdZu+7y/pG5t1eLbcmLNj+fc3QSy9f24+vnLs/3/n7fb2RW4+NsjZ/5OZPtDfDnNg+gw5icWCKuVuIRizypwlIq2YhLs4lJ4p+VELXBZSsoffeGMej1+pIx/VwO+AqEVLGJv8EXLwhVKhWqq6sRDofhdDoxMzMDnU6XFwP9xQpLmQQlnlyEJeCMuFRMglIqP/7n5avQEQcQiCvhUs8t/JxZrvZRcay9VqslFa45wsey8+bHRqNxyatCxC3d4jlTLObPi0UsaGo0Gmg0GjIHcyQQCOD06dOQSCQwGAyQSqVzVjcVizjJcRz++te/YufOnaiqqsKOHTtw/vnn5308DocD1157bUZRafPmzdiwYQNuvPFGAEB3dzeOHz9OUucIhL9DRCVC6cCyLBIZYtBzZa4Ut0QikdTuIo60T60+UCgUBbkIh0IhuFwuTE9Po7Ozc844cUI6HMcJ5uWVlZXQ6/ULqqrhnxKK5wrf7pKpWiVT+0iqsJRarcQzm7AE5CYuzSUoVcxyA19dq0zyWpLJz/wevKA0NRrAkzuaSHvMPPBR5fxramoKwWAQHMehtrZWeJq8nAmGYhYiLM0lJqWSrbiUiDHo1M6/AF8uQSmTmLScQlI2pKZHBYNB4dwiThrjF4WzJY3NRyQSgcPhQCAQgF6vJ7H2OcKn4TkcDiiVSlAUVRBRPRvz53yIkwshkUjA5XJhdHQUWq0WnZ2dREzKkUAgAJvNBo7j0NXVhbq6ulm3TfWb5OdLIpEQ7nPFAuVyVk5yHIcPP/wQ//Zv/waWZbF9+3b09PQUTNyaS1S69tprsXXrVlx22WUAgE9+8pN4+OGHsW7dunwPk0AoVrI6cMlqlVAWZJPiVllZifr6+rSSdYZhhIvw9PQ0vF4vIpFIWmuUSqValieEYuNoANDpdLBYLEVZQVWs0DSd5FVz9tlnLyqFjE/2USgUaGlpEd5PrVYZGRlJq1bhq5oAYNg+LAhL9c11oiS4WkFYioUjgrCkqFUlCUtVCnmasDSXeASki06pPk08sipZRkGptuHMTevUaAC/3NU+588inEEmk6Gurg6xWAxTU1OQy+Uwm82ora1NWhCOj48jFAql+WUsJsEwE//v1yU5CUuh4Jl5UJHlKYel2XmFpUSMQaVcirGxMz5VLS2ZKy2XQ1B6+PbivbURn1tSESeNTU5OwuPxJLXpKpVKqFQq4f+ZFujBYBAOhwORSAQURZFrSY7wDyacTidqa2txzjnnFCTRkoc/t6SKCamJl16vN0mcTG3rXqg4uRBSxaSLL76YCJo5MjMzg9OnT4PjOJhMpqxaLSUSCaqrq1FdXQ21Wp30Of4+NxwOY2ZmBj6fb1mqmziOQ19fH374wx9iZmYGDz30EC699NKiPgdlKq4o5vESCMUKqVQiFAX8Yn0hX7dcKW7i1ii+YoW/CPNGvryAsJDqAz6O3ev1or6+HjqdrmSSO4qFSCQCl8uFiYkJdHZ2QqPRFKyyS7wg5F879p9ZSPPC0mzVSvFIDLXqBuHjxVQsiZlLUEr6+P8EpWqlApVVZ76GCErZwTAMhoeH4fF40NDQAL1eP2+rauoTZXG7S2VlZZrYtNA23WyEpXAouUI0W2FJ2D5FXErE/i70VMrTz4mp4tJcolKuglIxi0mLQXwtEv/LMIxQrSKRSDA1NQWJRAKTyYTGxkayMMoBlmUxMjICp9OJxsZGGAyGkk3D46uyxRUrkUgEADIahS/VNVPsHafT6dDZ2UnEpByZmZmBzWYDwzAwmUxoaGiY/4sWwVytl7n6wg0MDGD37t0YGRnB9u3b8YlPfKJozkGk/Y1AWBSk/Y1QOuQiKs3V4pYPOI5DJBJJa41iWRZyuTzJs6mmpibthi0cDsPtdmNiYqLo49iLEY7jMDU1BZfLhUQiAZ1Oh9bW1qK5eRHzuc0Dwv+zEZbEpAo/ABALRbL+2amCEvt/RlxtwEoAACAASURBVPhVCnnyz/k/QYmOxdHY1gyACErZkEgk4PF44PP5ljRFK5M4mWr8LP53vkXbbMJSqpgkJhdhiaZZVFWfmavzCUqpsDSL+sbMVSCzCUq8mFSuAlIuiIUQjuOgVCpB03RGn69CtnUXM7zvotvthlqthl6vh1wun/8LSxCWZRGJRNIEJ3GKoXi+ZCtmx+NxOJ1O+P1+6HQ6dHR0EDEpR4LBIGw2G2iazouYlA2ZfOE++ugj7NixA21tbTCZTOju7kZrayuOHj0Kn8+Hhx56CBs3biy6v/9cotLvfvc7PPbYY4JR97e//W2cOHGiAKMkEIoWIioRSotYLL0aQ0w2LW6FJLUcnX/xPjxSqRThcBgSiYTceC0AfgHldruhUCig1+tzTt8pBKnCklhUAuYWlpgF+ozxghKbkqgoFpToOC0YdRNBKXv46rjJyUloNJq8+YSk3uDP5q2SScxOFZbmEpTEzCcu0XRytRx/Ls5WUMoEw6TfZuy9uzwX+QuFTwV1Op1QKBSgKCqtylXs8yX24gHSq1VyCSEoFxiGwdDQEIaGhtDa2gq9Xr+iH+7wbd3ic0wsFkuyARD/K5VKEY/H4XA4MDExAb1en5cggnKDF5MSiYRQYVjssCwLu92Ot956C7/97W/hdrshk8nAsiyUSiXMZjO6u7vR3d0Ni8WCrq6uggq1N954I44fP47x8XG0tbVhx44dgofrHXfcAY7jcNddd+HIkSNQKpV4+umniZ8SgZAMEZUIpUU8Hs/Y27ycLW7LDcMw8Hq98Hg8kMvlqK2tBcMwCAaDScas4uqmqqqqkvjd8oW4IqS5uRk6na6k2hLEohKPsvbvhq9iUQlYnLA0l98SLyjR8TMVIJkEJYCISrPBpwlGo1Ho9fqiqY5LNZXnF4Xi6gP+tfNA7u21mYSlVDFJDF+1NBezCUo/upMYws8FL6y7XC7U19fDYDDk7PfDV6ukCggMw2T0Vim36xFN0/B4PBgeHkZ7ezt0Oh0Jw5iDTK2XwWAQ0WgULMuioaEBzc3Nwj1Muc2X5SIUCsFmsyEej5eMmMTj9XqxZ88efPDBB9i2bRs+97nPCWJiOBzG4OAg+vv7MTAwgIGBAXz88ceIx+PYv38/Lr744gKPnkAgLAAiKhFKC7GoVOgWt8USjUbhdruFJyNarTZjawzf6pKaSCdOASqE0WYxIE7CK/Uo7MUKS8D84tJCBSW5UiGMhQhKyfAm+k6nE1KpFAaDYUFpgoWA47iMrXS/euecBX2/CsncYhKwcEGJiElzI3440dzcvCwtWuIQArHYFI/H05KjSj3WvrOzE1qttmSvJ4UiFovB4XBgcnISer0eTU1NaYITP19y8eJZSYRCIdjtdkSjUZhMJjQ1NRV6SFnj8/mwd+9evPPOO7j//vtx/fXXZ30M8Q+HyTFHIJQkRFQilBaJRAIMwxR1i9tccByH6elpuFwuxGIxaLXaBcc4p0aUh0IhRKPRtJs1/oatFPZPNnAch4mJCbhcLnAcB71eD7VaXfK/XyZRKRaKoLH97xVC2QhLQLq4NF8aXEXKTVx1rVJIfSOCUmZYloXP54Pb7UZtbS0MBkNB4sSXi3t/nnsoAsssTlBiaZaIRzmSWlWj1WoL0qLFt14Gg8G0WHuFQpF2TSqmyh+xeTSJtV8Y0WgUDocD09PTMBgMaGtrm/OanMmLJxwOZ0y9VCqVS+JFV+yEw2HYbDZEIhFBTCqV+5qxsTH85Cc/wR//+Efce++9uPHGG4vqGCcQCMsOEZUIpcWzzz4Lg8GA7u5u1NbWloyYxC9APR7Psnv9pN6sBYPBJJ+M1ES6UnkyyDCMsA9ra2uh1+vLLglvPmFp0jeeZqI9n7A0m6DEsWzG5LfZBKV9WxVFtxgsBOJFfEtLC3Q6Xdma9gLZiUvziUnA3ILSv32DW9FeNQtBLIRoNBpoNJqiFEL40IrU6qbFGj8vBbFYDE6nk/j9LIJoNAq73Y5AIACKohbd8su36qYKTolEAlKpNG2+VFdXl/zfLBwOw263IxwOl5yYNDExgZ/97Gc4evQo7rnnHtx8883kXE4grEyIqEQoHViWxY9//GOcOnUKAwMDCAaDaG9vF4z++FcxtZ7EYjF4PB6Mjo6ipaUFWq22YF4/Yp8MsbcK/yQ5tZWuWBYosVgMbrcbY2Njc7YJlgOZRCUgPdEtVVgCgEggmNPPyiQoidPkxILS/7M5mpQClPokmffJKGfE7aq8+fZKEdhmE5YWIyb98z96i1YIKWai0SicTqfQXlTKQkg8Hk8zlhenGKa2Ry3V75lrVQ0hnUgkArvdjmAwCIqi0NLSsuz7kK/OFs8Z/oEZfw8jnjPFfn6ORCKw2WwIh8MwGo0lVXE9PT2Nxx57DK+99hr++Z//GbfeemvZ3wMQCIQ5IaISoXThY357e3vR29uLvr4+nDp1CjMzM1Cr1bBYLEK6hNVqRXNzc94u2IFAAC6XC6FQCFqtFu3t7UW7eEo18eVfLMtmFA/y9RRqZmYGTqcToVAIOp2upBdPuTBbtVIqC019A9IFJZZhkoSquVrexL4q4pf4STL/UqlUea08WA6CwWDSPFxou2o5IBaXchWUvtzzIUKhEFQqFTiOS0uNWg7xoJwIhUJwOBwIhUIwGAxFYwK/HPDVtqnVKplao3K5JoXDYTgcjrwKIeVGIcSk+ZitGo5hmCTvSf5cU2jvSfE+NBqNeb03XSwzMzPYv38/Dh48iNtvvx233357SYWiEAiEZYOISoTyg+M4jI6O4tSpU+jt7cWpU6fQ19cHv9+P+vp6QWyyWq2wWq1obW1dkkUMy7IYGxuDy+VCVVUV9Hp9UVVN5Qq/8BO30WVKjBInuizFzxwbG4Pb7YZUKoVer0djY2PJ7sOFspzCklhQYhkGQLJJd01D7YI9lBKJRFrrpbjyQLwQLGYTX47jMDk5CafTCY7jYDAYSqolIR9852fRebd56GtnKkIYhgFFUWn7UJwalUk8ELfp5lPQLiZmZmZgt9sRj8dBUVRJVTMsNZlao3hBe67gimAwCIfDgUgkUnIVIcUC36IVCoVKSggRBxHw8yYajUIikaRVaCuVymV9+Me3Cs7MzJTUPgTO/P2feOIJvPDCC/j617+OO++8M+dUSQKBUNYQUYmwcuAXirzQxItNIyMjUCqVSVVNVqsVGo0mq0VvKBTC6OgofD4f1Go1dDpd2V9s+UoVcXVTPB4Xbuz5xWC2Hhk0TcPr9cLr9aKhoQE6na6sTI9zJds2OCB7YWk2b6VUQSkRi6O+uXFJTblTfb74G3wASTf2KpVq2W/s54JlWYyOjsLlckGpVMJgMKC2trYgYylV+DQ8h8OByspKUBSVs38cLx6kVsMxDIPKyso0gbLUq+EyMTk5CYfDAQAwGo1oaGgo7ICKnFRBOzWZTq1WQ61WF/wcU2rwSWTlJsiJ7QDEghPDMJDL5Wmtl4s5x/DtlrzvVDFUd2VLNBrFU089hWeffRZf/epXcffdd6/oezMCgTArRFQiEDiOQyAQQF9fX1Jl09DQEORyOcxms1DdZLFYQFEUpFIpTp48iZ/85CdwOp341a9+RfxBgIzx5HylSupTZIVCIfjU+P1+dHR0QKPRrMhqhEzkIiwBs4tLcyW/VSnkoON00scAcPgJa7bDXBSpN/b8zT3DMKiurs5b6yUfxz40NISmpibo9XpS0p8jLMtiZGQELpdrWdPweB8esS9cKVbDZUIsyFVVVcFoNBJRcwFMT0/DZrMBAAwGA+RyecZzzGytdKWy4F9OxGJSqZlHLwaO49LuY1LPMdl6fYm9u4xGY0mJSbFYDL/85S/x5JNP4otf/CLuueeeZQuXIRAIZQERlQiE2eA4DuFwGP39/UnVTR9++CEikQhaWlqwfv16XHnllbBarTCZTJDJZCVz05BPGIZJukmbnJxEMBgEx3Gora1FU1MTamtrS3IhuJwsRliaS0wCgIoUATTfgtJcpLZeihOjMlXDVVVVLei4i8fjcLvdGB0dJaLmAmEYBkNDQxgaGkJzczP0en1B0vAyVcOJI+2LNYgAODPfeUFOpVKBoigolcpCD6vkmJychN1uh1QqhdFoRF1d3azb8ueY1DkTj8fTvOHKJWUsG4LBIOx2O2KxGEwm04psP5+NbLy+lEolqqqqMD4+jkAgAKPRWFL+Z4lEAi+88AJ+8Ytf4LOf/SzuvfdeNDY25uVnHzlyBPfccw8YhsGmTZuwdevWpM8/88wzuO+++6DRaAAAd911FzZt2pSXsREIhHkhohKBkA2BQABPP/00nnnmGVx66aW4/fbbwXFcUhsd/2TUaDQKbXQWiwWrVq1a8KK3nOBbi9xuN+RyudBaxN+giSsPgDNtUWLhYCW2LMwmKgHZtcKlCksce8ZcOdVXqVr19wVsMYhKc5HJJJxvcclUDZfpuAuHw3A6nZienoZOp0NHR8eKWDAuJWJBrr29HVqttigFObGJb2ornbhSRalUQqVS5bVShQ+bcLvdaGxshMFgIBVyOcJxHCYmJmC32yGXy2E0GqFSqRb1PWmazihQAsjow1PsKWPZEAwGYbPZkEgkYDQa0dTUVOghlQy8QDk1NQWPx4NgMCgI62KBkq9wKsYHZzRN46WXXsLPf/5zXHPNNbjvvvvQ3Nyct5/PMAzMZjOOHTsGrVaLnp4eHDhwAKtXrxa2eeaZZ3Dy5Ek89thjeRsXgUDImqxunEr/akkgLBCn04kf//jH+NOf/oRbbrkFx48fTyoBPu+884T/cxwHmqYxODgoVDb99re/xenTp0HTNAwGQ5Jvk9lsnnXRW04kEgkMDQ1heHgYzc3NOOecc5I8p1QqFVQqFdra2oT3UtuixsfHEQ6HwbJsxraocripz8R//n/dswpL8hoFwlOBOb+eF5F4MqW+8YJSsYtJPFVVVaiqqkp7eiquhpuenobX60UkEkkyZJVIJJicnBTMty0WS9kff0uNONJeq9XioosuKmqxl0+YUyqVaGlpEd5PTTEcHR0VDLFlMlnGVrqlmivi6q7W1lZceOGFJI47R/hQB4fDgZqaGlit1iVrt5TJZKirq0urdOKvS7zgNDExgXA4nBZesdgKynwyMzMDm80GmqaFyiRCbiQSCbhcLkxMTMBgMKC9vV34u4uvSzMzM/D5fEIFpfheplBhBAzD4Ne//jV++tOf4hOf+ASOHj2adC+WL06cOIFVq1bBZDIBAL785S/j8OHDSaISgUAofUilEmHF8te//hUejwef/vSnF7VwomkadrtdSKTr6+vDwMAAotEotFptUiJdd3c3VCpV0d+Mzkc4HIbL5cLU1BQ0Gg06OjoWLf7MZuBL03RS1QFf4VSMlRO5QNM0hoaG8M37Rxf9vUq5Omkx8At4j8cDAKiurkYikUi7qS93gXKx8Ala4XC47CPtaZpOM/DlK1VSxaZcKigTiQTcbjdGRkbQ0dEBrVZL5luO8K2CTqcTdXV1oCiq4MEYmXx4eD9BqVRalF5fgUAANpsNLMvCZDIRI/gFEI/H4XQ64ff708Sk+RDfy4ir4jIlGSqVyiV/AMmyLF577TXs3bsXF198MR544AF0dnYu2ffPlVdeeQVHjhzBk08+CQB47rnn8N577yVVJT3zzDPYtm0bWlpaYDab8eijj0Kn0xVqyAQCIRnS/kYgFBKWZeF0OpNMwgcGBhAMBtHe3i6Yg/OvhoaGol7IiaPYWZaFXq/PS2xuatUB30qXSCRQWVm5ZB48+SIajcLlcsHv96OzsxMajQb/9NUPFvz9pJWVYBlG+HglCEoMw2B4eBgejwcNDQ3Q6/VJPjXZCpTiObMSmZqagt1uF6q7VophbyYWaiwfi8WE41mr1aKjo6Ooq7uKEZZl4fP54HK5SqpVcC6vr9Q5o1Qql/1BSCAQwOnTpwGQVMGFIhaT9Ho92tvbl1QkTE0yDIfDSaJ2qlF4LsI0y7I4cuQI9uzZgwsuuAAPPPAA9Hr9ko19oRw8eBBHjx5NEpVOnDiBffv2Cdv4/X6oVCrI5XLs378fL7/8Mv7whz8UasgEAiEZIioRCMUI77XR29srVDadOnUKMzMzUKvVQmUTX92UD+FmvvH6fD54PB7U1NRAr9cXTWoR/wSZF5r4J8ipTwN5M9ZC7sdAIACn04loNAqdTofW1takm9VP3fCXnL5fJrPucheUEokEPB4PfD4fWltbodPpchKEUgVK8RPk2Qx8y01k4TgO4+PjcDqdqKqqAkVRc5oer3RmM5aPx+NCVZxarUZ7eztUKlVZzpnlgmVZeL1eeDwewQi+HATeuURt/kGI+LWYSHsgORHPZDKRJK8FkEgk4HQ6MT4+vixi0nyktl/ygpO4/VKpVMJms0Gn08FoNArjY1kWf/jDH7B7926YzWb84Ac/QFdXV97GPh/vvPMOtm/fjqNHjwIAdu3aBQDYtm1bxu0ZhkFTUxOmp6fzNkYCgTAnRFQiEEoJjuMwOjoqtNHxJuF+vx/19fVJbXRWqzVNlFhqxGa9ra2t0Gq1BUl+WgjiFhdedMoUTa5SqZbV+4pfwLtcLshkMuj1+jkr0rIVlmZLf6tWKctSTIpEInC5XJicnIRGo0FnZ+eSV4OkPkHm54xEIsloEl7oFpdc4cVht9uNuro6GAwGkkK2APhWwUgkAo1GA4VCkTRv+DmTqZWu1ObMciH2nWpra4NOpyv5duZsicfjadVNC50zU1NTsNlsqKiogMlkIuLwAuA9k0ZHR6HX64sy2EE8Z/bt24f3338fo6OjkEqlaGtrg9frRXt7O+677z5cffXVBW8ZTYWmaZjNZrz55pvQaDTo6enBCy+8gLPPPlvYZnh4GB0dHQCAQ4cO4eGHH8a7775bqCETCIRkiKhEIJQDfNsZLzTxYtPIyAiUSmVSVZPVaoVGo1nUTVEwGITT6UQwGIRWq0V7e3vZtHOI2xX46qZUPxW+lW4xi0CGYeD1ejE0NJSxPWs+ZhOXZhOTeI4eWJvTOIsdcXWXXq8viNdPtnH2KpWqKFMMxQt4vhqkVMThYmJ6ehp2ux0sy4KiqDnj2BmGEVrpxOeZle71RdM0PB6PsIAkvlN/h2XZtPNMaqQ9/+L9u6RSKUwmU9FUDpcSYjFJp9Ohs7Oz6MSk2eA4Du+88w527dqFhoYGXHbZZYhEIujv78dHH32EaDSKjo4OwVqhu7sbq1evRmtra8HG/Prrr2PLli1gGAa33norHnjgATz44INYt24dPvvZz2Lbtm147bXXIJPJ0NTUhF/84hewWCwFGy+BQEiCiEoEQjnDcRwCgUCSZ1NfXx+GhoYgl8thNpuFGwqLxQKKomZd8DIMg9deew06nQ5SqRR6vX5F+avwpefiNjr+hj41ZrqmpmbW/RiLxeB2uzE2NrYkUey8uLSSxCQ+RtzhcEAqlcJgMBSl31hqnH0wGBRSDDP5NuW7EkNcaUgW8AuDF/TtdjtkMhkoilpUa9FcbVGlmjCWDeIFvEajgUajKTrxtVgRt1+OjY1hdHQUHMdBJpNlnDOk/XJuaJqGy+XCyMhISYpJf/nLX/DDH/4QSqUSO3bswLnnnpv29+Y4Dj6fD/39/ejv78fAwADq6+uxY8eOAo2cQCCUOERUIhBWIhzHIRwOo7+/P0lscjqdkMlk6OrqEp5g6XQ6HDt2DAcOHMC5556LH/3oRwWJnC1WUoUD/pVq3ltRUYHx8XGEw2HodLq8+zGUAyzLYmRkBC6XC7W1tTAYDEsWI55PZvPgERvLL6WfSiqRSAROpxNTU1PQ6XRF2c5R7PCR9k6nEwqFAhRFQaVSLevPzOT1xSeMpUaTl0r7JW96PD4+XnIL+GJBLGxWVlbCZDIJczG1ZTcUCiEajQJYXJJhOULTNNxuN3w+H7Ra7aIruvMJx3H4n//5H+zcuRMSiQTbt2/H2rVriXhIIBDyBRGVCATC3+Gfkn/00Ud466238MILL+DUqVOwWq1IJBLQ6/VCG53FYsGqVavK5kn5UsPvS5/Ph+HhYcGAFUDS02O+la4czGeXC5qmMTQ0BK/Xi5aWFuh0urJtz8pkLB+Px1FRUZHRtymXY29mZgZOpxORSAQGgwEtLS3k2M0RsbBZX18Pg8FQcH8ShmHSxCa+ZTeXKsp8Eo1G4XQ6MTk5WRDT43KAr9i02+2Qy+UwGo1ZC5tzJRmKqyh54amcr/NiManUquQ4jkNvby927tyJaDSKhx56CJdccknZ/q0IBELRQkQlAoGQzMmTJ/Hoo4/Cbrfjrrvuwhe/+EXIZDLQNI3BwcGkyqaPP/4YNE3DYDAk+TaZzeZlNbcudsSGxyqVCgaDIelmPx6PJ4kGvHDAJ9LxQtNyVKmUEtFoFG63G+Pj4+js7IRGo1mx7VmzCQcSiUQQDjJ5fXEch6mpKTgcDnAcN6/XDyEzvAeaOIWs2IVNsXAgrlZJFQ7ErXTLTSQSgcPhQCAQgMFgQFtbG5mLOcJxHPx+P+x2OxQKBYxG45JVbGZKvwyHwyVfEZcJhmHgdrsxPDxccmISAPT39+OHP/whJiYm8NBDD+GKK64gxxKBQCgURFQiEADgvvvuw29+8xtUVVWhq6sLTz/9NBoaGtK2O3LkCO655x4wDINNmzZh69atBRjt8jA8PIwbb7wRzc3N+M53voN/+Id/yOoGhaZp2O12IZGur68PAwMDiEaj0Gq1SYl03d3dUKlUZXvjI46zX0hFDV+lktreklqlUu6x5LwRfCgUgk6nQ1tbW8kuXJabuby+JBIJYrEYqqurodPp0NLSsmJFuYUiNo4ulxSyTMJBqrC91B48oVAIDocDoVAIFEWRKrkFwCeFOhwOKJVKGI3GvKYz0jSdMZAASK6I4wWnYj3XiMWkzs5OaLXakhKTPv74Y+zevRsejwcPPfQQrrrqKnIsEQiEQkNEJQIBAN544w1cddVVkMlk+N73vgcAePjhh5O2YRgGZrMZx44dg1arRU9PDw4cOIDVq1cXYshLDn+jRVHUknw/lmXhdDqTTMIHBgYQDAbR3t4umIPzr2I0Ws6WcDgMl8uFqampZYmzT61SCQaDiEajSRHTfJVKqT455n1BnE4nOI6DwWBYUUbwSwVfJed0OqFSqdDU1ASapuc0fFapVKisrCT7WkQ8HofL5cLY2FhJVjEsFPFcEXvw8OcapVKZU/plMBiE3W5HLBaD0Wgkx/QC4MUku92OmpqavItJ85HJVzAcDqeda/hrVaGqbxmGgcfjgdfrRUdHhxA6Uio4nU7s3r0bg4OD+MEPfoBrrrmmJK/1BAKhLCGiEoGQyqFDh/DKK6/gV7/6VdL777zzDrZv346jR48CAHbt2gUA2LZtW97HWMqwLIvh4WH09vYKlU19fX0IBAJQq9WwWCxCKp3VakVzc3PRLkKmpqbgdDoFv6l8P30XR0zzlSrhcBjAmSfH4ja6YjVh5TgOo6OjcDqdUCqVMBgMJP56AaT6Tun1+oztTBzHIZFIzNl+uZKTosReP8TE/O/kEmdfU1ODSCQCu90OhmFgNBrR2NhY6F+h5ODN4B0OB1QqFYxGY8H9u3IlUytdNBqFVCoVRCbxv8txrDEMg6GhIQwNDZWkmDQ0NISHH34YH374Ib7//e/jM5/5DDknEQiEYoOISgRCKp/5zGdwww034Kabbkp6/5VXXsGRI0fw5JNPAgCee+45vPfee3jssccKMcyygxcX+DY63rfJ7/ejvr4+qY3OarWitbW1IDdW/DhdLhfkcjkMBsOiIsSXg9lMWFmWTUqk41+FaFPgPWqGhobQ2NgIg8GA6urqvI+j1BFX1CzWd2quKpVMJuHltLARt2cZDAa0trauKDFtofCBBLzgNDExgcnJSXAcB6VSifr6+mVNMixH+GuMw+FAXV0dKIoqOTFpPhiGydhKx3Fc0jWKF5wW0nLKsiyGhobg8XjQ3t4OnU5XtC15mfD5fHjkkUdw4sQJfO9738MXvvCFsjrnEgiEsiKrC3vpnIEJhDnYuHEjfD5f2vs7d+7EddddJ/xfJpPhq1/9atp2mcRVcnO8dEgkErS1taGtrQ1XXnml8D7fFsULTW+88QZ++tOfwufzoaamJskg3Gq1LlsMME3TggjS1NSEc845p2hv9MUeTGL4BSB/E+/xeIQ2BXG1AV/htBzeMfF4HG63G6Ojo2hvb8fatWtL3qOmEEQiETidTkxNTUGv1+Piiy9e9LyXyWSor69PE0nFC8CZmRn4fD5hAVis6WLZMjMzA7vdjng8DoqioFaryXk9ByQSCaqrqxGJRDA2NobKykqsW7cOtbW1SR5xfr8fLpdL8IhLjbMvN5FyIYjFpPr6epx33nllK7RLpVLU1tamVaWmXqO8Xi/C4TASiQQqKyvTxKZMlZSpYlJPT09JiUmjo6N49NFH8ec//xnf/e53sW/fvmU/p87nFxqLxfC1r30N77//PtRqNV566aUls0ogEAgrB1KpRFgRPPvss9i/fz/efPPNjH4FpP2tuOA4DoFAIMmzqb+/Hx6PB3K5HGazOcm3iaKoBd2YiRPIOjo6oNFoyk4EERv3ituiaJqGTCZLaqNbaLx0OByG0+lEIBCAVqslbUULZGZmBg6HA9FoFAaDoaCGx5m8VDKliy2nSLlQpqamYLfbAUBIxCPkRmoKGUVRWUXaz1WlUkqGz0sFx3EYGRmBw+FAQ0MDKIoqWzFpMYhFSn7+iP2+FAoF4vE4JiYm0N7eDoqiSmru+P1+/OxnP8OxY8ewZcsW3HTTTXkZfzZ+oY8//jj+9re/Yf/+/XjxxRdx6NAhvPTSS8s+NgKBUDKQ9jcCATjzlOZf/uVf8F//9V9oaWnJuA1N0zCbzXjzzTeh0WjQ09ODF154AWeffXaeR0uYC47jEA6H0d/fn9RG53Q6IZPJ0NXVlWQQbjKZIJPJ0hbm7777Ln7zm9/guuuuW9EJZJlSomKxeA4ceQAAIABJREFUWNb+O9PT03A4HKBpGnq9vqg9sooVvlrP4XBAIpGAoqiiNrbnOA6xWCxt3vAiZeq8yVdLFC+COBwOVFVVwWg0Ev+uBZDq9UNR1JIYR2dr+LwYcbuY4DhOMNVvbGwERVE5pYUSzkDTNJxOJ7xeLxQKBaqqqhCJRIR279SquExec4VkamoK+/btw+9+9zvcdddd+MY3vpFXAT6bB6bXXHMNtm/fjksuuQQ0TaO9vR1jY2MlffwRCIQlhbS/EQgAcNdddyEWi+Hqq68GAKxfvx779++H1+vFpk2b8Prrr0Mmk+Gxxx7DNddcA4ZhcOuttxJBqQjh/V/Wrl2LtWvXCu/zZfWDg4OC2PTqq6/CZrMBAIxGI8xmMxiGwe9//3soFAps2bIFPT09K/rGqaqqClVVVWmVHGL/ncnJSbjd7qTWFgAIBAKQy+Xo6upCQ0NDIYZf0vCLd6fTCYVCgbPOOqskRBC+Jaq6uhpqtTrpc6ktUU6nE7FYDFKpNKNv01Ice2IzeJVKBavVmtYaSpgfXgRxuVyor6/HmjVrlrQFWJwwJ364k2ouzwtayz1vlgs+odHlcqGpqQkXXHABEZMWAB/64Xa70dzcjPXr1yeJMani9sjISFoogVhwyve8mZmZweOPP45f//rXuOOOO/CXv/ylIPNgaGgIOp1O+Fir1eK9996bdRu+Tdrv96O5uTmvYyUQCKUNqVQiEAhlC8dxCAaDePTRR/Hss8+iubkZer0edrsdNE3DYDAk+TaZzeaiX7QUCt7LwuVyCU+I4/E4IpEIJBKJ0NqSSyT5SkS8WGpoaIDBYCha/66lgmGYtMqmSCQCAGmVBjU1NVnNG/F+JGbwC0e8H5uammAwGIpGBKFpOmMrHZA+bwqdgCnej2q1GgaDoeiqZkoBsSjX3NwMg8GQc2WP+KEIP3/E8yZ17izlvAmFQvj3f/93vPjii7j11ltxxx13FPT8fvDgQRw9ejQphObEiRPYt2+fsM3ZZ5+No0ePQqvVAgC6urpw4sSJtIcGBAJhxUIqlQgEwsplfHwcjz/+OF555RVcf/31ePfdd5OekNM0DbvdLiTSHT9+HAMDA4hGo9BqtUmJdN3d3VCpVCtSbEokEvB4PPD5fGhtbUVPT0/aYik1knx0dFSIJC91s+elgqZpeDweDA8Po7W1FRdeeOGKWXRKpVLU1dWhrq4u6f3UJMPx8XEhyVAul6f5fclksqQI8ZW2H5cSPqHR4/GgpaWlKPejTCbLad4wDCOkiymVyrz4ffFiksvlKtr9WAqIxSS1Wr2o/ThbKIF43oTDYUxMTCT5xGVqpcv2mh+JRPAf//EfeO6553DzzTfj3XffLYqKSa1WC7fbLXzs8XjQ2dmZcRutVguapjE9PY2mpqZ8D5VAIJQ4pFKJQCgjDh48iO3bt6Ovrw8nTpzAunXrMm5HURRqa2shlUohk8lw8uTJPI90eTl+/Di++93v4o477sBNN92UUwUDy7JwOp1JJuEDAwMIBoNob29PMgi3WCxF7X+zGCKRCFwuFyYnJ6HRaNDZ2ZmzGDSb2TMvGqSaPZeS8Wq2xGIxuFwujI+PC/uxHH/PpSQ1JYo3mY9EImAYBiqVCm1tbaitrYVKpUJlZWVZHoPLAcMw8Hg88Hq9aGtrg06nKyqT9cUwm99XIpHI2icuW1iWhdfrhdvtRktLy4IqagjJ3lOFqvASh1mIq5vELZhKpRLvvvsuVq9eDYvFIlTzxWIxPPPMM3jqqadwww034Nvf/naaCFpIsvEL/fnPf44PP/xQMOr+9a9/jZdffnnO7+twOHDttdfif//3f5f7VyAQCIWHGHUTCCuNvr4+VFRUYPPmzXjkkUfmFJVOnjxZtj3ziUQCUql0Sduv+CfSvb296O3tRV9fH/r6+hAIBKBWq2GxWGA2m2GxWGC1WkvWtFqcQKbX69Ha2rrkv0fq4o/3UxGb9oqrVErxyb84EU+n06G9vZ20Ay4AsSin1WrR3NyMaDSalGTIH+9LKRqUGzRNw+12w+fzoaOjA1qtdkWJm7zfFy8YBINBxGIxwesptZVutmNVHGnf2toKvV5PxKQFIE7Fa2pqAkVRRXme51t3p6en8eijj+Ljjz+Gx+MBwzBobGyE0+nE+vXrcc8992DdunVFJSjxvP7669iyZYvgF/rAAw/gwQcfxLp16/DZz34W0WgUN998Mz744AM0NTXhxRdfhMlkmvN7ElGJQFhREFGJQFipbNiwYUWLSvmENwrm2+j4RDq/34/6+vqkNjqr1YrW1taiExc4jsPExAScTicqKipgMBgKVoEVj8eTBAOx+WpqO1S+ksVyIRAICEbDFEWVrLhYaCKRCJxOJ6anp6HX6+dNaBT7qPAvcSR5tqJBuZFIJOByuTA6OgqtVrugisNyJrV1lxeeOI4TWul4o+epqSn4fL6yq/DKJ7yY5HQ60dDQUHKpeIlEAi+++CIef/xxbNiwAZdccgm8Xi/6+/vR39+f9JDJarXCYrFgzZo1aGtrK/TQlxSHw4F//Md/xMUXX4wPPvgAZrMZv/zlL5ckKZJAIBQdRFQiEFYq84lKRqMRjY2NkEgk2Lx5M26//fY8j7D84aPieaGJF5t8Ph9qamqSDMKtVis0Gk3eF7osy2JkZAQulwsqlQoGgwEqlSqvY8gWcbKYuNIgtUJFpVLlvUIlVZSjKIok4i2QYDAIh8OBSCQCg8GAlpaWRf0txaIBL1ZGIpGy9/uKx+NwOp3w+/3Q6XTo6OhYMULaUsC3YM7MzMDr9WJychIymQwymUyophSLlMUocBcT/MMXh8NRkmISwzA4ePAg9u3bh09+8pO4//770dramnHb8fFxDAwMCEKTyWTCt771rTyPeHlxOBwwGo146623cOmll+LWW2/F6tWr8d3vfrfQQyMQCEsPEZUIhHJk48aN8Pl8ae/v3LkT1113HYD5RSWv14vOzk6Mjo7i6quvxr59+3DFFVcs67gJZ+A4DoFAIMmzqb+/Hx6PB3K5HGazOcm3iaKoJV/o0jSNoaEheL1eIRGvlG7wxYiTxXjRQFyhIq5uUigUS7qwFsfZK5VKUBRVtKJcsTM9PQ2HwwGappNE7+ViNr8v3rQ31e+rVKpSotEonE4nJicnYTAY5q3wImRG7D3V3t4OnU4ntAuK/XfE1ZQVFRVpVXFLfc4pNTiOw9jYGOx2O+rr60FRVEmlNDIMg9deew179+7FpZdeim3btqGjo6PQwyo4DocDV1xxBVwuFwDgD3/4A372s5/hP//zPws8MgKBsAyQ9DcCoRz5/e9/v+jvwad/tLa24vOf/zxOnDhBRKU8IZFIUF9fj/Xr12P9+vXC+xzHIRwOo7+/H729vXj//ffx/PPPw+l0QiaToaurK8kg3GQyQSaT5bTwFvvTdHZ2oqenp+R9VeZKFguHwwgGg5iZmYHP50M4HAaw8Bh78ffmk7MaGxuxZs2agsZGlyp8NZ/D4YBUKgVFUWmJTcsFLzoqlcqkVEjetJcXKIeHhwW/r0xmz8VSoRKJRGC32zEzMwOKomA2m4tiXKUGwzBwu90YHh5GR0cHLrroojRRv6qqClVVVWhsbEz7Wv6cEwgEks455VwVlwleTHI4HKitrcV5551XUmISy7L43e9+h0ceeQRr167F4cOHodVqCz2soiL1/ELONwTCyqa0VxMEAiFn+PSt2tpahEIhvPHGG3jwwQcLPawVj0QiQU1NDdauXYu1a9cK7/NtGIODg0Jl06uvvgqbzQbgTCsj30ZnsViwatWqtCjkv/71r/jRj36Em266CRdeeCG6urrK/ul5RUUFVCpVWuVQpjjyUCiU5qEijrHnSSQS8Hg88Pl8JM5+EfALTqfTCYVCAbPZXDQVXhKJBHK5HHK5HGq1Oulz4hZMv98Pl8uFWCyWVqGiUqmgUCjyssgKhUKw2+2IRCKgKApWq5Us7haA2Mi8s7Mzo5g0H1KpFLW1taitrU16n2XZpDTD1Cj71HNOKZ9TOI7D+Pg47HY7amtrce6555acmHTs2DE8/PDDOPvss3Hw4EFQFFXoYRUlLpcL77zzDi655BIcOHAAl112WaGHRCAQCghpfyMQyohDhw7h7rvvxtjYGBoaGnD++efj6NGj8Hq92LRpE15//XXYbDZ8/vOfB3DmRvorX/kKHnjggQKPnJArHMeBpmkMDg4KJuH9/f0YHBwETdPQ6/Wora3FwMAAOI7D3XffjS984Qtl/XR8MYhj7PkqlXA4DJqmUVlZCYZhEIvF0NbWBoPBUFILpWJB7OFVV1cHiqLKosJLXKHCCweRSARAelWcUqlckmNwZmYGdrsd8XgcRqMRTU1NRExaAGIxSaPRQKPR5O0cmRplnxpMIJ4zhfCKywWxmKRSqWA0Gkvq2OY4DsePH8euXbtgNBrx4IMP4qyzzir0sIoWh8OBf/qnf8IVV1yBt99+G2eddRaee+45YtRNIJQnxFOJQCAQVhoMw+CVV17Bnj17UFtbiwsuuEAwDo1Go9BqtUmJdN3d3VCpVEW7WCkkoVAIDocDgUAAzc3NqKqqEkyfE4lEmmEvX2VA9mUyDMNgeHgYHo8HarW6pD28ciG1Ko5/cRwHuVyelmaYTSvq9PQ07HY7WJYVvKcIuZNIJOB2uzEyMlKUqXhzpRmmttItlVC5EDiOg9/vh91uh1KphMlkKjkx6a233sKuXbvQ0dGBBx98EFartdDDIhAIhGKCiEoEAqG8OXjwILZv346+vj6cOHFiVmPyI0eO4J577gHDMNi0aRO2bt2a55EuP+FwGM888wyeeOIJXHnlldiyZQv0en3SNizLwuVyCZVNp06dwsDAAILBINrb25MMwi0WCxoaGlakQMKbRicSCRgMBjQ3N2fcD5mqDGKxWJr3jkqlKhrvnXxC0zQ8Hg+Gh4dJDLsIcVWc+EXT9KxC5fT0NGw2GyoqKmA0GvPmPVVuJBIJuFwujI6OQqvVFiR1czHwXnG8uM1XVLIsm7GVbrmONz7x0mazQalUwmg0llSVCsdxOHHiBHbu3In6+nps374d55xzzoo7RxMIBEIWEFGJQCCUN319faioqMDmzZtnTbtjGAZmsxnHjh2DVqtFT08PDhw4gNWrVxdgxMsDy7LYuHEjPvWpT2Hz5s05Vy+wLIvh4WH09vYKbXSnTp1CIBCAWq2GxWKB2WyGxWKB1WqdVWQpZfhFktg0uqGhYUHfK7XKIBgMpnnv8FUq+fLeySfxeBxutxujo6N5bykqdcRCZTAYxNTUFMLhMCoqKtDQ0IDGxkZBMCjmdqhiI5FIwOl0YmxsDDqdDp2dnSUlJs0Hx3GIxWIZhcqlNJjnz5N2ux3V1dUwmUwlJyZ98MEH2LlzJ2QyGXbs2IELLriAHEcEAoEwO0RUIhAIK4MNGzbMKiq988472L59O44ePQoA2LVrFwBg27ZteR3jcsNx3JLfGHMch9HR0aTKpr6+Pvj9ftTX1ye10VmtVrS2tpbcQo3jOMHnp6amBgaDYdlMo2fz3uFbWsTtUEqlsuT2pTjOXqfToaOjo+R+h2KA96dxOBxQKBQwGo2Qy+WztkNl8m0i+/0M8XgcTqcT4+Pj0Ov1K3JOig3mxRWVqQbzvMg92/7hK5Oqq6thNBpRU1OT599k4XAchw8//BA7d+4ETdPYsWMHenp68iYmTUxM4IYbboDD4QBFUXj55ZczPvyRSqVYs2YNAECv1+O1117Ly/gIBAJhDrI6UZL0NwKBUNYMDQ1Bp9MJH2u1Wrz33nsFHNHysBw3xxKJBG1tbWhra8OVV14pvM9HwfNC0xtvvIGf/vSn8Pl8qKmpQXd3d5LYVIwtJgzDwOv1YmhoCI2NjXlJKZorHUrczjI6OopwOAyO45L8U1QqVUH9U2YjHA7D4XAgGAzCYDCQOPsFwou4TqcTKpUK55xzTpI/TX19fVrbm3juBINBjIyMIBKJpM2dlRBjL4YXk/x+P/R6/YpIvJyNyspKNDQ0pFVe8iJ3KBTCzMwMfD5f0tzhBSeWZeHz+SCXy2G1WktOTOrr68OuXbswPT2Nhx56CJdddlnez0+7d+/GJz/5SWzduhW7d+/G7t278fDDD6dtp1Ao8N///d95HRuBQCAsBURUIhAIRc3GjRvh8/nS3t+5cyeuu+66eb8+UzUmWfAuDolEgqamJlx++eW4/PLLhfc5jkMgEEBfXx96e3vx5z//GU888QQ8Hg/kcjnMZnOSbxNFUXlf5CYSCXg8Hvh8PrS1tWHt2rUF9/mpqKiASqVKq5DiOC7J6Nnv9yMcDoNhGFRXVye10WVr9LyUiBPISJz9wuFT8ZxOJxoaGnISOMVzp62tTXg/de7wMfYsy87q21QOxGIxOJ1OTExMrHgxaT5mE7l5zy+fzwebzQYAkMlkSCQS6O/vL5lwgo8++gi7d+/G8PAwtm/fjg0bNhRsnIcPH8bx48cBALfccgs2bNiQUVQiEAiEUoWISgQCoaj5/e9/v6iv12q1cLvdwscejwednZ2LHRYhAxKJBPX19Vi/fj3Wr18vvM9xHMLhMPr7+9Hb24v3338fzz//PJxOJ2QyGbq6upIMwk0mE2Qy2ZIuAKLRKFwuF/x+P7RaLS666KKir9rgW5uUSiVaWlqE98X+KcFgEENDQ0lGz6mpYkstGExNTcFutwMAKIoiCWQLhPcyc7vdUKvVuOCCC5YsFW+uuSP2bRoZGRFi7CsrK5fMeyffxGIxOBwOTE5OwmAw4KyzziqJcRcjvCm8VCrF+eefL4jdHMcltdKNjY3B4XAgHo+joqIibe4Uyi/Obrdj9+7dsNlsePDBB3H11VcXXFgcGRlBR0cHAKCjowOjo6MZt4tGo1i3bh1kMhm2bt2Kz33uc/kcJoFAICwYIioRCISypqenB4ODg7Db7dBoNHjxxRfxwgsvFHpYKwqJRIKamhqsXbsWa9euFd7nn4gPDg4KrXSvvvqq8HTcaDQKbXQWiwWrVq3K+al4KBRKas1atWpVwRcYi0UikaC6uhrV1dVQq9XC+/yij/dsWkrBgI8OdzgcqKqqQldXF+rq6pbrVyxr+NZLj8eD1tZWXHjhhXmrFJJIJJDL5ZDL5Whqakr6nFgw8Pv9cLlcC/LeySfRaBQOhwNTU1OgKIq0Xi6C6elpnD59GlKpFGeddVZaBZNEIkFVVRWqqqrShGSGYYS5Mz09Da/Xi0gkAgAZPb+WQ9B3u93Ys2cPTp06he9///v49Kc/ndc5OldVdba4XC50dnbCZrPhqquuwpo1a9DV1bWUwyQQCIRlgRh1EwiEkuXQoUO4++67MTY2hoaGBpx//vk4evQovF4vNm3ahNdffx0A8Prrr2PLli1gGAa33norHnjggQKPnDAXHMeBpmkMDg4KJuH9/f0YHBwETdMwGAxJvk1mszntqfjx48exd+9efOc738GaNWugVqtX9GIz1aw3GAxmrDBQqVRJqWJin5+amhpQFFVSnirFBE3T8Hg8GB4eRnt7O7RabcFbL7NhNoN5IH+CQSq8mDQ9PQ2KotDa2rqij+/FwFcmSSQSdHV1pYlJi4Fl2aQ2zFAoJLTwyuXyJWnDHB4exp49e/DBBx8I1T3FIHiK6e7uxvHjx9HR0YHh4WFs2LABAwMDc37N17/+dVx77bW4/vrr8zRKAoFAyAhJfyMQCARCeUHTNOx2uyA29fX1YWBgANFoFBqNBjU1NRgYGEBdXR3uvfdeXHPNNWSxOQd8hYFYMOBTxSQSCSKRCOrq6mAwGNDQ0FB0i7VSIJFIwO12Y2RkBJ2dndBqtUXfepkNswkGLMtmFAyWQkCLRCJwOBwIBAJETFokgUAAp0+fhkQigclkymvlobiFVxxSkEgkIJVKk+ZNLBZDe3t72jEzMjKCvXv34u2338Z9992HL37xi0V7XN13331Qq9WCUffExAT27NmTtM3k5CSUSiXkcjnGx8dxySWX4PDhw1i9enWBRk0gEAgAiKhEIBAIhJUATdN4+eWX8aMf/UhoJ/L5fBgYGEAwGER7e3uSQbjFYkFDQwNZjGaAYRgMDQ3B4/GgoaEBdXV1SYs/IL06paamhohNGYjH43C5XBgbG4NWq0VnZ2fRLnqXErFgIBYsGYbJ2IaZTUtrJBKB3W5HMBgERVFoaWkhx+8CCQQCsNls4DgOJpMpLVGw0CQSiSShaffu3Th58iSkUikMBgMoisLY2BhOnTqF+++/H1/72tfyHlKQK36/H1/60pfgcrmg1+tx8OBBNDU14eTJk9i/fz+efPJJvP3229i8eTMqKirAsiy2bNmC2267rdBDJxAIBCIqEQgEQjkxMTGBG264AQ6HAxRF4eWXX85okiyVSrFmzRoAgF6vx2uvvZbvoeaFSCSCp59+Gk888QSuvvpqbNmyJc2EnTdD7u3tFdroTp06hUAgALVaDYvFArPZDIvFAqvViubm5hW5WBWn4nV0dECr1WZcqGWqTgmFQuA4TkikE6fSrQQRJRVxAplOp0NHRwcR3f4PsUk4/4rFYpDJZEliJd+GyYtJoVAIRqNxxR6fS8HMzAxsNhsYhkFXV1fRiUnz4fV6sXfvXvztb39Da2sr5HI5Tp8+jUQiAZ1OB6vVKvjvWa3Wkvv9CAQCoUghohKBQCCUE/fffz+ampqEEvrJycmMscQqlQrBYLAAI8wfHMfhU5/6FK666ip861vfQkNDQ85fPzo6KrTRnTp1Cn19ffD7/aivr4fFYhE8m6xWK1pbW8tSGIjFYnC5XBgfH19UNQ1vup7aSif2ThGn0pWCl1CuiH1+9Ho92traynLOLAc0TScJTYFAADMzM2BZFnV1dWhsbBTmj1KpJPs1B4LBIE6fPg2GYWAymXI+Vxaa6elp/PznP8fhw4dx55134rbbbkvyXmJZFm63G/39/ejr60NfXx/6+/vBcRz+9Kc/FXDkBAKBUBYQUYlAIBDKiWzNPleCqAScETKWumqB4zhMTk4KQhMvNvl8PtTU1CQZhFutVmg0mpJc4EYiETidTkxNTcFgMCybAMJH2IuFplAoBJqm01qhVCoVKisrS64SJRwOCwmDpDVrcYRCIdjtdkQiEUEAyeTbJK6ME4uVK7EybjaCwSBsNhsSiQS6urpKTkwKBoPYv38/Dh48iG9+85u4/fbbUV1dXehhEQgEwkqDiEoEAoFQTjQ0NGBqakr4uLGxEZOTk2nbyWQynH/++ZDJZEIaDmFxcByHQCCAvr4+wSC8r68PHo8HcrkcZrM5ybeJoqiiXOAGg0E4HA5EIhEYDIaCCiBztUKlttHJ5fKiE2rE+9JoNK74hMHFEAwGYbfbEYvFYDQa0dTUNOe+5CvjxGJlOBwGTdNLlipWqojFJJPJlLFFupgJh8N48skn8atf/Qq33HIL7rzzTiiVykIPi0AgEFYqRFQiEAiEUmPjxo3w+Xxp7+/cuRO33HJLVqKS1+tFZ2cnbDYbrrrqKrz55pvo6upa1nGvVDiOQzgcRn9/f1IbndPphEwmQ1dXV5JBuMlkgkwmy7v4MD09DYfDAZqmQVHUvIv2QiJuheJFg1gshoqKCiiVyqTKFIVCkfffY2ZmBna7HYlEAkajEY2NjUW7L4sdsQCyFPuSr4xLFSvFqWLi+VOMYuVCCYVCsNlsiMViMJlMaGpqKvSQciIajeKpp57Cs88+i6985Su4++67oVKpCj0sAoFAWOkQUYlAIBDKiWzb38R8/etfx7XXXovrr78+T6MkAH+vpBgcHEwSm2w2GwDAaDQKbXQWiwWrVq3KKgUr1zFMTk7C4XCgoqICRqOxpM1rGYZBOBxOqk6JRCKQSCRpiXTL4bszPT2d9PcrtXaiYoI3jaZpWqhMWm4SiUTGyjherBTPH4VCUTJtrXzLYDQaFSqTSkkoi8fj+OUvf4knnngC119/PbZs2VLS5ykCgUAoM4ioRCAQCOXEfffdB7VaLRh1T0xMYM+ePUnbTE5OQqlUQi6XY3x8HJdccgkOHz6M1atXF2jUBDEcx4GmaQwODgom4f39/RgcHARN0zAYDEm+TWazOedqHI7jMD4+DofDAYVCAYqiyvqJP8uySRHkYt8dhUKR1EqnVCpzbkucnJyE3W6HVCqF0WhEXV3dMv0m5Y84gYyvTCo0vFiZOn8AZBQri6WtNRwOw2azCf5TxVx9mIlEIoEDBw7gF7/4Ba699lrce++9JVddRSAQCCsAIioRCARCOeH3+/GlL30JLpcLer0eBw8eRFNTE06ePIn9+/fjySefxNtvv43NmzejoqICLMtiy5YtuO222wo9dEIW0DQNu90uiE19fX0YGBhANBqFVqtNSqTr7u6GSqVKWkTG43E8/fTTGBwcxG233QaKoqBQKAr4GxUWjuMEk2e+uikcDoNlWcjl8qQ2qJqaGshksqSvnZiYgN1uh1wuh9FoLGthbrkJBAKw2WxgWbZkEshYls1oEs7Pn1TfpnwlGkYiEdhsNoTD4ZL08qJpGi+//DIee+wxfOpTn8L999+P5ubmQg+LQCAQCJkhohKBQCAQCKUOy7JwuVyC2HTq1CkMDAwgGAyivb0dq1atQjAYxFtvvYVLL70U27ZtA0VRhR520cJxHGKxWMZEuqqqKlRUVCAUCkGpVJaMAFKsiFsGTSZTWbQ18fMn1feLYZi0REPeJHwpRJ9IJAK73Y5gMAiTyVRyYhLDMDh06BB+8pOf4IorrsDWrVvR3t5e6GERCAQCYW6IqEQgEAgEQrkSCATwyCOP4Pnnn4fVakV7ezs++ugjBAIBqNVqWCwWmM1mWCwWWK1WNDc3l9QiNJ9wHIeRkRHY7XZUV1ejvr5eMHyOx+NpYoFKpVpyD6xygheTJBJJyXt55UImk/B4PI6Kioo0sSnbtlaxmGQ0GkvuOGZZFr/5zW+wd+9e9PT04IEHHoBGoyn0sAgEAoGQHURUIhAIBEK/tuWxAAAetElEQVRpcuTIEdxzzz1gGAabNm3C1q1bkz4fi8Xwta99De+//z7UajVeeumlFVOd4/f7sW/fPhw6dAjf+MY38M1vfhM1NTXC5zmOw+joaFJlU19fH/x+P+rr65Pa6KxWK1pbW0vGlHipYVkWPp8PLpcLjY2NMBgMqK6uTttObPIsTqTjE8XEqWLV1dUltehfSqampmCz2Yj/VAo0TSf5NgWDQUSj0TlN5qPRKOx2O2ZmZkBRFFpaWkpqXrEsi6NHj2LPnj0477zz8K//+q/Q6/V5H8fBgwexfft29PX14cSJE1i3bl3G7ea75hAIBMIKhYhKBAKBQCg9GIaB2WzGsWPHoNVq0dPTgwMHDiSZjT/++OP429/+hv379+PFF1/EoUOH8NJLLxVw1Pnh5MmTuP3223HnnXfi5ptvhlwuz/pr+TQ4XmjixSafz4eampokg3Cr1QqNRlO2YhPLsvB6vfB4PFCr1TAYDKiqqsr5+/BigbiVjhcLMlWmlOv+nJychM1mg0wmg8lkQm1tbaGHVBJkMpkPBoOIxWLgOA5NTU1oaWnJ6PtVrLAsiz/+8Y/YvXs3zjrrLPzgBz9AV1dXwcbT19eHiooKbN68GY888khGUSmbaw6BQCCsULISlYr/6kQgEAiEFcWJEyewatUqmEwmAMCXv/zltAS7w4cPY/v27QCA66+/HnfddRc4jiupJ/kL4fzzz8df/vKXBSVQSSQSNDU14fLLL8fll18uvM9xHAKBAPr6+tDb24u33noLTzzxBDweD+RyOcxmM7q7u2GxWGCxWEBRVNEkYOUKwzAYGhrC0NAQWltbsXbt2kUZLMtkMtTV1aVV5IgTxWZmZuDz+TImivGJdKUqNvFm5pWVlYJ5PCF7KioqoFKpoFKpEIvFYLfbUVFRAYvFgrq6OkFompycRDgcBk3TGU3CFyKILjUcx+HPf/4zdu3aBa1Wi6eeegrd3d2FHhasVuu822RzzSEQCATC7BBRiUAgEAhFxdDQEHQ6nfCxVqvFe++9N+s2MpkM9fX18Pv9ZZ8itByVChKJBPX19Vi/fj3Wr18vvM9xHMLhMPr7+9Hb24v3338fzz//PJxOJ2QyGbq6ugShqbu7G11dXZDJZEUp7NE0DY/Hg+HhYXR0dKCnp2dZqz6kUilqa2vTKnZSE8XGxsYQDofBcRyqq6uT2uhqamqKUrxLTcYjYtLiiMVicDgcmJqaAkVR6O7uFo4hpVKJlpYWYVuO45J8m0ZGRhAKhZBIJDK2Ysrl8mU/HjmOw7vvvoudO3dCrVbj8ccfx9lnn72sP3OpyeaaQyAQCITZIaISgUAgEIqKTG3ZqQujbLYhLA6+hWvt2rVYu3at8D7HcYhGoxgcHBRa6V599VXYbDZwHAeTySS00VksFqxatapgptaJRAJutxsjIyPQaDS46KKLCirUiA2bxfD7lG+jm5iYQCgUAsuyqKqqShKa8hlfnzpGXkyqrq6G1WpN+z0I2ROPx+FwODAxMQGKomA2m+c9RiQSCeRyOeRyOZqampI+l0gkhFZMv98Pl8uFWCyGioqKNN+mpWjF5DgO77//Pnbu3AmFQoG9e/fivPPOK8hxvnHjRvh8vrT3d+7cieuuu27eryfXEwKBQFgcRFQiEAgEQlGh1WrhdruFjz0eDzo7OzNuo9VqQdM0pqen0xZZhOVBIpFAoVDg3HPPxbnnniu8z3EcaJrG4OCg4Nn0+uuvY3BwEDRNw2AwJKXRmc3mrBOwciUej8PlcmFsbAw6nQ4XX3xxUbeY8ftUoVCkVaaI4+uHh4eFypSqqqq0RLrKysol358cx8Hv98Nut0OhUBAxaZGIxaT/v717j626vv84/jrt6e202Np2bekFKq1tTzuQteCQOYLXEXUoujAvGzpGlCWVGjM3WTfAmDJBFudEcTHxFifEyRCHZ6A4q2HTIsrGaE/t2Wx7etqeFhAovdGec76/P37pCcdW6JHS0wPPR9LEnu+37fsU8KSvft7v99SpU3XppZeOyZ9ZVFSUEhMTh23aO10rZlxc3LBWzDOFroZh6N///rfWrl0rwzBUVVWlsrKykIYwu3fvPquPH81rDgDgqxEqAQAmlNmzZ8vhcKixsVFZWVnasmWLXn311YB7Fi5cqJdeeklXXHGFXn/9dV199dX8ZjnETCaToqKiVFxcPGwWicfjUWNjo38jXXV1tRoaGtTf36+srKyAjXRD7VRf589zqJXo6NGjmjJlyoQPk87EZDIpNjZWsbGxSklJCbh2ahvUoUOH1NjYqIGBAZnN5mFtdF+nDcowDB0+fFhNTU2yWCwqKSmRxWIZy6d3QRkYGFBzc7OOHDkypmHSmYy2FfPIkSPq7e2V1+vVwMCAtmzZoqKiIpWUlOiyyy5Tamqq6urqVFVVpd7eXq1evVpz5849L/6/O5rXHADAV2P7GwBgwrHZbHrggQfk9Xq1dOlSVVZWatWqVZo1a5YWLlyo/v5+/fjHP9b+/fuVnJysLVu2+IesInz4fD45nU5/2FRXV6fPPvtM3d3dysjICBgQXlRUpKSkpBF/iG1oaNDWrVt19dVXa+rUqUpPTz8vftj9OobaoIY2ifX09PjboEbaSDdSa+mhQ4fU1NSkhIQEXXLJJYqLiwvRswl/g4ODam5u1uHDhzVlyhRlZGRM6KDTMAwdP35c7733nv/fY0NDg44dO6YTJ05o/vz5uuaaa1RcXCyr1aqMjIwJ/W9t27Ztuv/++3Xo0CElJSVp5syZ2rVrl9ra2rRs2TLZbDZJI7/mAABGt/2NUAkAAEwoPp9P7e3tqq2tVW1trerr61VXV6euri6lpKSosLBQhYWFmjRpkv7yl7+oublZFRUVuvPOOyf0D7ihNNQGNRQ09fT0qK+vTyaTSRaLRRaLRV6vV0eOHFFiYiJh0lk6NUzKycnR5MmTJ3SYNJL//ve/WrdunVpaWrRq1SrNnDlT9fX1stvt/je32y2LxeI/afid73xHc+fODXXpAICxQagEAADOH4ZhqLOzUzabTc8884zcbreKiorkdruVlJQU0EZntVqVlpYWdj/Ijzev1yuXy6WWlhZFRUUpJiZGJ0+elGEYX2vmzoVucHBQTqdTnZ2dmjJlSliGSc3NzVq3bp0aGhr061//WgsWLDjtc+jp6dFnn30mu90ui8WiRYsWjWO1AIBziFAJADDx3XLLLWppaVF/f78qKip07733hrokTFD79+9XVVWVurq6VFlZqXnz5slkMskwDB09etTfQldXV+c/RREfH+8/2TQUNmVlZYXdD/pjzTAMdXR0qLm5WYmJicrNzVVsbGzA9aGZO0Onm4Zm7sTGxg7bSGc2X9hjOk8Nk3JycpSZmRl2f8daW1u1fv16HThwQCtXrtTChQvD7jkAAMYUoRIAYOL74osvlJycrL6+Ps2ePVvvv//+sKHEF4qdO3eqoqJCXq9Xy5Yt08MPPxxw/cUXX9RDDz2krKwsSVJ5ebmWLVsWilLHVV9fnxYvXixJqqys1Jw5c0b1cYZhqKurS3a7XbW1tf6WHZfLpZiYGBUUFATMbcrNzT3vT+IYhiG3263m5mZdfPHFys3NVUxMTFAff/LkyYA2up6eHnk8HsXExIy4ke585vF45HQ61dHRoezs7LAMLN1ut373u9+ppqZGv/jFL/SDH/wg7J4DAOCcIFQCAEx8a9as0bZt2yRJTU1N2rVr16hDg/OJ1+tVQUGB3nnnHWVnZ2v27NnavHlzwCa1F198Ufv27dPGjRtDWGloNDQ0qKCgYEw+l2EY6u3tVX19vf90k91uV3Nzs8xms/Ly8vxBU2FhofLy8mQ2m8N6XpPP5/OfTEpOTtbUqVODCpPOxDCMgI10Q28DAwOKiooKCJri4+MVHR0d1t9Pj8ejlpYWud3usA2TDh06pCeeeELvv/++fv7zn+v2228/70NVAEBQRvVCfWGfVQYAhFR1dbV2796tDz/8UBaLRfPnz1d/f3+oywqJvXv3Kj8/37/F7vbbb9f27dsDQqUL2VgFSpJkMpkUHx+vsrIylZWV+R83DEP9/f1yOBz+sGnr1q36/PPPZRiGpk2b5m+jKyoqUn5+/oQPR3w+n9xut5xOp1JSUlRaWqro6Ogx/zomk0kxMTGKiYlRcnJywLXBwUF/G93QZrmBgQH/RrpTW+liY2Mn9Pfz1DApKytLl19+edgFMV988YWefPJJvfPOO6qoqNCGDRsu+PZFAMDXxysIACBkjh8/rosvvlgWi0X19fX66KOPQl1SyLS2tionJ8f/fnZ2tmpqaobdt3XrVn3wwQcqKCjQE088EfAxODsmk0lxcXGaMWOGZsyY4X/cMAx5PB45HA7/zCabzSaHwyGPx6OpU6eqoKBARUVFslqtKigoUFxcXEjDkaENei0tLec0TBqNqKgoJSUlKSkpKeBxj8fjP9F09OhRuVwu9ff3+0O/U9/i4uJCehLI6/WqpaVF7e3tYRsmHTt2TBs3btSOHTtUXl6utWvXnvftiQCAc49QCQAQMgsWLNCzzz6rGTNmqLCw8IJsexsyUjv6l0OJ73//+7rjjjsUExOjZ599Vnfffbf+/ve/j1eJFyyTyaSoqCgVFxcPOznm8XjU2Niouro61dbWqrq6Wg0NDerv71dWVlbARrrCwkIlJCSc07DJ5/Opra1NLS0t+sY3vhHSMOlMzGazEhMTlZiYGPC41+tVb2+venp6dOLECbndbvX29kqSLBZLwOkmi8VyTsOmoe14bW1tyszMDMsw6cSJE9q0aZO2bt2q++67Tx9//PGYtj4CAC5szFQCAGAC+PDDD7VmzRrt2rVLkvTb3/5WkrRy5coR7/d6vUpOTtbx48fHrUaMns/nk9Pp9IdNdrtd9fX16u7uVkZGRsCA8KKiIiUlJZ1V2OTz+dTa2iqXy6W0tDRNmTLlvDuF4vP5/Bvphtrpent7ZRjGiBvpzib88Xq9am1tVWtrqyZPnqycnJywC5N6enr03HPPafPmzVq6dKmWL1+uuLi4UJcFAAgfDOoGACBceDweFRQU6N1331VWVpZmz56tV199VSUlJf572tvbNXnyZEnStm3btG7dugu6ZTAcDbWl1dbWqra2VvX19aqrq1NXV5dSUlJUWFjoD5ysVqtSU1NPGzb19PRo//79ioyMPG/DpDMZmoX15Y10Xq9XsbGxw1rpTvf9OTVMysjIUE5OTtjNG+rr69Pzzz+vl19+WT/60Y9UXl6u+Pj4ca3hz3/+s9asWSO73a69e/dq1qxZI96Xm5urSZMmKTIyUmazWfv27RvXOgEAp0WoBABAOLHZbHrggQfk9Xq1dOlSVVZWatWqVZo1a5YWLlyolStX6s0335TZbFZycrI2bdqkoqKiUJeNMWAYhjo7O/0nm4Y20h05ckSJiYkBbXRFRUVKSEjQU089pc2bN+uee+5RRUVF2IUf55phGDp58mRA0NTd3S2v1xuwkW6oje7QoUNyuVxhGyadPHlSL730kp5//nktXrxYK1as0EUXXRSSWux2uyIiInTfffdpw4YNpw2V9u3bp9TU1HGuEAAwCoRKAAAA4cwwDB09etQfNB04cEC7d+9WZ2enSkpKNG3aNFmtVv9bOK62D4WBgQH/zKbOzk51dXUpMjJScXFxSkhICGili4mJmdAb6QYGBvSnP/1Jf/zjH3XLLbfowQcfHDYUPVTmz59PqAQA4WtUL37h9SsYAACAC4jJZFJycrJKS0v18ccfa8+ePVq2bJmWL18un88nu92uuro67dmzR88995xcLpdiYmJ06aWXBsxsys3NDbuZQOeS2WxWT0+PWltblZaWpssuu0xRUVEaHBxUb2+vuru7deTIETmdTp08eVIREREjbqQLZdjk8Xi0ZcsWPfPMM1qwYIHee+89paSkhKyer8NkMun666+XyWTSfffdp3vvvTfUJQEAgkSoBAAAQmbp0qXasWOH0tLSdPDgwWHXDcNQRUWFbDabLBaLXnzxRZWWloag0tDo7e3V008/rVdeeUV33323/vnPfwbMx5kzZ07A1kTDMNTb26v6+nrV1tbqk08+0SuvvCKn06nIyEjl5eX5g6bCwkLl5eXJbDZP6JM4Y2loppXT6VRaWppmzZoVMGMpKirqKzfSDbXQHT9+XG1tberr65PJZPJvpBvaShcXF3fON9Jt3bpVf/jDH3TVVVfp7bffVlpa2jn7el/l2muvldvtHvZ4VVWVbr755lF9jn/84x/KzMxUZ2enrrvuOhUVFWnevHljXSoA4BwiVAIAACFzzz33qLy8XEuWLBnx+t/+9jc5HA45HA7V1NToZz/7mWpqasa5ytAZGBhQTEyMPvzwQ1ksljPebzKZFB8fr7KyMpWVlfkfH5ov1NDQ4G+l27p1qz7//HMZhqFp06YFzGzKz89XdHT0eRM2DYVJLS0tSk1NHRYmnUlkZKQuuuiiYTOKfD6fent7/fOaOjo61NfXJ8MwFBcX5w+ahuY2nc1pMZ/Pp+3bt+uJJ57QFVdcobfeess/uD8Udu/efdafIzMzU5KUlpamRYsWae/evYRKABBmCJUAAEDIzJs3T01NTV95ffv27VqyZIlMJpPmzJmjY8eOBWzBO98lJSVpxYoVZ/15TCaTYmNjNWPGDM2YMcP/uGEY8ng8cjgcqqurU11dnWw2mxwOhzwej6ZOnaqCggL/NrqCgoKQt30Fw+fzye12y+l0KjU1VaWlpYqOjh6zzx8REeGfwZSenu5/3DAM9fX1+TfSHT58WL29vfL5fIqJiQmY2RQfH3/aoeA+n082m02PP/64ysrKtG3bNuXk5IzZcwiVnp4e+Xw+TZo0ST09PXr77be1atWqUJcFAAgSoRIAAJiwWltbA36Azs7OVmtr6wUTKp1rJpNJUVFRKi4uVnFxccA1j8ejxsZG/0a66upqNTQ0qL+/X1lZWQEb6QoLC5WQkDBhwibDMOR2u9Xc3KyUlJQxD5POZKgt7sunywzDUH9/v7+VrrW11d9SV1VV5Z+FNX36dE2fPl0HDhzQunXrZLVa9dprr+mSSy4Zt+dwNrZt26b7779fhw4d0o033qiZM2dq165damtr07Jly2Sz2dTR0aFFixZJ+v+/a3feeacWLFgQ4soBAMFi+xsAAAippqYm3XTTTSPOVLrxxhu1cuVKXXnllZKka665RuvXrw9o7cL48vl8cjqd/rDJbrervr5e3d3dysjIUGFhYcCQ8KSkpHELm04Nk5KTk5WbmzuuYdLX5fP55HK5dODAAf3nP//Rp59+KofDocOHD6uwsFClpaUqLi6W1WpVcXGx0tPTJ0yABwA4b7H9DQAAhLfs7Gy1tLT433e5XP45LAiNiIgI5ebmKjc3VzfccIP/8aG5RbW1taqtrdVrr72muro6dXV1KSUlRYWFhf7AyWq1KjU1dcyCEcMw1NHRoaamJv+2vHAIk4ZEREQoJydHTqdTe/bsUXp6ut544w0VFxfriy++8G/527Fjh9avX6+Ojg7Fx8fLarVq7ty5+slPfhLqpwAAuEBxUgkAAITU6U4qvfXWW9q4caNsNptqamq0YsUK7d27NwRV4usyDEOdnZ3+k011dXWy2+06cuSIEhMTA9roioqKlJ6ePurtaUOfu6mpSUlJScrNzVVMTMw5fkZjyzAMffzxx1q7dq0SEhK0Zs0aTZ8+/YyBW3d3t+rr63X06FFdd91141QtAOACMqrf/BAqAQCAkLnjjjtUXV2tw4cPKz09XY888ogGBwclScuXL5dhGCovL9fOnTtlsVj0wgsvaNasWSGuGmPBMAwdPXrUHzQNhU1ut1vx8fH+k01Wq1VWq1VZWVn+sMnr9eqVV17Rpk2b9PTTT+ub3/xmWIZJ//rXv1RVVSWz2aw1a9boW9/6Fm1tAICJglAJAAAA4cUwDHV1dflbvobCJpfLpejoaMXHx8vlcunSSy/VAw88oLlz5yoyMjLUZY+aYRg6ePCgqqqqNDAwoEceeUSXX345YRIAYKIhVAIAAED4MwxDb775ptauXaspU6Zo7ty56ujokN1ul9PpVGRkpPLy8vzDwQsLC5WXlyez2Tyhwhq73a61a9fq+PHjWr16ta688soJVR8AAKcgVAIAAJioli5dqh07digtLW3EeVLV1dW6+eab/Wvkb731Vq1atWq8ywwpwzBks9lUVVWl6dOn61e/+pWmTp067J6TJ0+qoaEhYGbT559/LsMwNG3atICZTfn5+YqOjh7XMMfhcOixxx5TW1ubVq9erauuuoowCQAw0REqAQAATFQffPCBEhIStGTJkq8MlTZs2KAdO3aEoLqJobKyUp2dnaqsrFRubm5QH2sYhjwejxwOR0AbncPhkMfj0ZQpUwK20RUUFCguLm5Mw56mpiY99thj+t///qff/OY3uv7660c9hBwAgBAb1Qui+VxXAQAAgOHmzZunpqamUJcxoT366KNfO4QxmUyKiopScXGxiouLA655PB41Njb6N9JVV1eroaFB/f39ysrK8rfQDbXTJSQkBBU2uVwurV+/XgcPHlRlZaVuvPFGwiQAwHmJk0oAAAAh0tTUpJtuuukrTyrddtttys7OVmZmpjZs2KCSkpIQVHnh8Pl8cjqd/rDJbrervr5e3d3dysjICAiaioqKlJSUFBA2tbe36/HHH9cnn3yihx9+WIsWLSJMAgCEK9rfAAAAJrLThUpdXV2KiIhQQkKCbDabKioq5HA4QlAlfD6f2tvbA8Kmuro6dXV1KTk5Wfn5+XK5XOro6NBDDz2kxYsXj/tGuoceekh//etfFR0drby8PL3wwgtKSkoadt/OnTtVUVEhr9erZcuW6eGHHx7XOgEAYYNQCQAAYCI7Xaj0Zbm5udq3b59SU1PHoTKMhmEY6uzs1MGDB1VdXa3Vq1fLbA7NdIm3335bV199tcxms375y19KktatWxdwj9frVUFBgd555x1lZ2dr9uzZ2rx587D2QAAANMpQifO4AAAAE5Db7dbQL//27t0rn8+nlJSUEFeFU5lMJqWnp+uaa67Ro48+GrJASZKuv/56/9efM2eOXC7XsHv27t2r/Px8TZs2TdHR0br99tu1ffv28S4VAHAeYVA3AABACNxxxx2qrq7W4cOHlZ2drUceeUSDg4OSpOXLl+v111/Xpk2bZDabFRcXpy1btrCGHqPy/PPP64c//OGwx1tbW5WTk+N/Pzs7WzU1NeNZGgDgPEOoBAAAEAKbN28+7fXy8nKVl5ePUzUIB9dee63cbvewx6uqqnTzzTf7/9tsNuuuu+4adt9IYy8IKgEAZ4NQCQAAAAgDu3fvPu31l156STt27NC77747YliUnZ2tlpYW//sul0uZmZljXicA4MLBTCUAAAAgzO3cuVPr1q3Tm2++KYvFMuI9s2fPlsPhUGNjowYGBrRlyxYtXLhwnCsFAJxPCJUAAAAwrlpaWnTVVVfJarWqpKRETz755LB7DMPQihUrlJ+frxkzZujTTz8NQaXho7y8XCdOnNB1112nmTNnavny5ZKktrY23XDDDZIks9msjRs36nvf+56sVqsWL16skpKSUJYNAAhzppF6q08jqJsBAACAL2tvb1d7e7tKS0t14sQJlZWV6Y033ghYbW+z2fTUU0/JZrOppqZGFRUVDJUGAGD8jGroHieVAAAAMK4mT56s0tJSSdKkSZNktVrV2toacM/27du1ZMkSmUwmzZkzR8eOHVN7e3soygUAAF+BUAkAAAAh09TUpP379+vb3/52wOOtra3Kycnxv5+dnT0seAIAAKFFqAQAAICQ6O7u1m233abf//73uuiiiwKujTSiYaSNZgAAIHQIlQAAADDuBgcHddttt+muu+7SrbfeOux6dna2Wlpa/O+7XC5lZmaOZ4kAAOAMCJUAAAAwrgzD0E9/+lNZrVY9+OCDI96zcOFCvfzyyzIMQx999JESExM1efLkca4UAACcDtvfAAAAMK727Nmj7373u5o+fboiIv7/d5xr166V0+mUJC1fvlyGYai8vFw7d+6UxWLRCy+8oFmzZoWybAAALiSj6jknVAIAAAAAAMCpRhUq0f4GAAAAAACAoBEqAQAAAAAAIGiESgAAAAAAAAgaoRIAAAAAAACCRqgEAAAAAACAoBEqAQAAAAAAIGiESgAAAAAAAAgaoRIAAAAAAACCRqgEAAAAAACAoBEqAQAAAAAAIGiESgAAAAAAAAgaoRIAAAAAAACCRqgEAAAAAACAoBEqAQAAAAAAIGiESgAAAAAAAAgaoRIAAAAAAACCRqgEAAAAAACAoBEqAQAAAAAAIGiESgAAAAAAAAgaoRIAAAAAAACCZg7yftM5qQIAAAAAAABhhZNKAAAAAAAACBqhEgAAAAAAAIJGqAQAAAAAAICgESoBAAAAAAAgaIRKAAAAAAAACBqhEgAAAAAAAIJGqAQAAAAAAICgESoBAAAAAAAgaIRKAAAAAAAACBqhEgAAAAAAAIL2f0mdA4mPWttjAAAAAElFTkSuQmCC\n", | |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x7f97ea8fa6d8>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "fig = plt.figure(figsize=(16,8))\n", | |
| "ax = Axes3D(fig)\n", | |
| "surf = ax.plot_surface(X, Y, Z, cmap=cm.coolwarm,\n", | |
| " linewidth=0, antialiased=False)\n", | |
| "plt.xlabel('a')\n", | |
| "plt.ylabel('b')" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "http://geoffboeing.com/2015/04/animated-3d-plots-python/" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 12, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "def optimise(iterations, lr=0.001):\n", | |
| " x = np.zeros((iterations, 2))\n", | |
| " x[0, ...] = [-2.0, 1.0] # init at the same place x = a*b\n", | |
| " converged = False\n", | |
| " for i in range(iterations-1):\n", | |
| " a, b = (x[i, 0], x[i, 1])\n", | |
| " grad = np.array([df_a(a, b), df_b(a, b)])\n", | |
| " x[i+1, ...] = x[i, ...] - lr*grad\n", | |
| " \n", | |
| " if (np.abs(df_a(a, b)) < 1e-6) and (np.abs(df_b(a, b)) < 1e-6):\n", | |
| " break\n", | |
| " return x" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 13, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "-3.2946798420855234\n" | |
| ] | |
| } | |
| ], | |
| "source": [ | |
| "x_vals = optimise(200)\n", | |
| "x_vals = np.array([val for val in x_vals if (val!=0).all()])\n", | |
| "print(x_vals[-1, 0]/x_vals[-1, 1])" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 15, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/plain": [ | |
| "<matplotlib.legend.Legend at 0x7f97f4093e80>" | |
| ] | |
| }, | |
| "execution_count": 15, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| }, | |
| { | |
| "data": { | |
| "image/png": 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\n", | |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x7f97ea8c8198>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "# now the minima become level sets.\n", | |
| "# for all possible a,b that = some x value\n", | |
| "a = np.linspace(-1, -1e-2, 100)\n", | |
| "plt.plot(a, -1/a, c='r')\n", | |
| "plt.plot(a, 1.9/a, c='b')\n", | |
| "\n", | |
| "a = np.linspace(1e-2, 1, 100)\n", | |
| "plt.plot(a, -1/a, c='r', label='Local minima at x=-1')\n", | |
| "plt.plot(a, 1.9/a, c='b', label='Local minima at x=1.9')\n", | |
| "\n", | |
| "plt.xlabel('a')\n", | |
| "plt.ylabel('b')\n", | |
| "plt.title('Level sets reparameterisation')\n", | |
| "plt.legend()" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": null, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [] | |
| } | |
| ], | |
| "metadata": { | |
| "kernelspec": { | |
| "display_name": "Python 3", | |
| "language": "python", | |
| "name": "python3" | |
| }, | |
| "language_info": { | |
| "codemirror_mode": { | |
| "name": "ipython", | |
| "version": 3 | |
| }, | |
| "file_extension": ".py", | |
| "mimetype": "text/x-python", | |
| "name": "python", | |
| "nbconvert_exporter": "python", | |
| "pygments_lexer": "ipython3", | |
| "version": "3.6.4" | |
| } | |
| }, | |
| "nbformat": 4, | |
| "nbformat_minor": 2 | |
| } |
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