{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## 多元变量(Multinomial Variables)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 1. 伯努利分布的推广\n", "二元变量可以用来描述两种可能值的随机变量,当遇到K个互斥状态中的某一种离散变量时,我们可以使用多元变量的概率分布来表示。" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "用K维向量x,向量中的一个元素$x_k$等于1,剩余元素等于0。这样的向量满足$\\sum_{k=1}^Kx_k=1$。如果我们用参数$\\mu_k$表示$x_k=1$的概率,那么x的分布就是$$p(\\textbf{x}|\\textbf{$\\mu$})=\\prod_\\limits{k=1}^K\\mu_k^{x_k}$$\n", "\n", "其中$\\textbf{$\\mu$}=(\\mu_1,...,\\mu_K)^T$,参数$\\mu_k$满足$\\mu_k\\ge0,\\sum_k\\mu_k=1$。该概率分布可以看成是伯努利分布对于多个输出的推广。" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "现考虑一个有N个独立观测值$\\textbf{x}_1,...,\\textbf{x}_N$的数据集$\\mathcal{D}$。对应的似然函数的形式为$$p(\\mathcal{D}|\\textbf{$\\mu$})=\\prod_\\limits{n=1}^N\\prod_\\limits{k=1}^K \\mu_k^{x_{nk}}=\\prod_\\limits{k=1}^K \\mu_k^{\\sum_nx_{nk}}=\\prod_\\limits{k=1}^K \\mu_k^{m_k}$$\n" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "### 2. 多项式分布\n", "考虑$m_1,...,m_K$在参数$\\mu$和观测总数N条件下的联合分布,这个分布的形式为$$Mult(m_1,m_2,...,m_K|\\textbf{$\\mu$},N)=\\binom{N}{m_1m_2...m_K}\\prod_\\limits{k=1}^K\\mu_k^{m_k}$$\n", "\n", "这被称为多项式分布($multinomial$ $distribution$),$m_k$满足限制$\\sum_\\limits{k=1}^Km_k=N$" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "### 3. 狄利克雷分布\n", "现在我们介绍多项式分布的参数$\\{\\mu_k\\}$的一组先验分布。通过观察多项式分布的形式,我们可以看到先验分布为$$p(\\textbf{$\\mu$}|\\textbf{$\\alpha$})\\propto\\prod_\\limits{k=1}^K\\mu_k^{\\alpha_k-1}$$\n", "其中$0\\le\\mu_k\\le1$且$\\sum_k\\mu_k=1$。$\\alpha_1,...,\\alpha_K$是分布的参数,$\\textbf{$\\alpha$}$表示$(\\alpha_1,...,\\alpha_K)^T$。由于加和的限制,$\\{\\mu_k\\}$空间上的分布被限制在K-1维单纯形(simplex)中。\n", "\n", "下图表示了$\\mu_1,\\mu_2,\\mu_3$上的狄利克雷分布被限制在一个单纯形中,限制条件是$0\\le\\mu_k\\le1$且$\\sum_k\\mu_k=1$。" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "![](http://research.microsoft.com/en-us/um/people/cmbishop/prml/prmlfigs-jpg/Figure2.4.jpg)" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "狄利克雷分布的形式是$$Dir(\\textbf{$\\mu$}|\\textbf{$\\alpha$})=\\frac{\\Gamma(\\alpha_0)}{\\Gamma(\\alpha_1)...\\Gamma(\\alpha_K)}\\prod_\\limits{k=1}^K\\mu_k^{\\alpha_k-1}$$\n", "其中$\\alpha_0=\\sum_\\limits{k=1}^K\\alpha_k$。\n", "用似然函数乘以先验,得到参数$\\{\\mu_k\\}$的后验分布,形式为$$p(\\textbf{$\\mu$}|\\mathcal{D},\\textbf{$\\alpha$})\\propto p(\\mathcal{D}|\\textbf{$\\mu$})p(\\textbf{$\\mu$}|\\textbf{$\\alpha$})\\propto\\prod_\\limits{k=1}^K\\mu_k^{\\alpha_k+m_k-1}$$\n", "参数的后验分布的形式也是狄利克雷分布,确定归一化系数,得到\n", "$$p(\\textbf{$\\mu$}|\\mathcal{D},\\textbf{$\\alpha$})= Dir(\\textbf{$\\mu$}|\\textbf{$\\alpha$+m})=\\frac{\\Gamma(\\alpha_0+N)}{\\Gamma(\\alpha_1+m_1)...\\Gamma(\\alpha_K+m_k)}\\prod_\\limits{k=1}^K\\mu_k^{\\alpha_k+m_k-1}$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 4. 狄利克雷分布的图像" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "from mpl_toolkits.mplot3d import Axes3D" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [], "source": [ "from scipy.stats import dirichlet\n", "import matplotlib.tri as tri\n", "from matplotlib import cm" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "D:\\Python27_32\\lib\\site-packages\\matplotlib\\tri\\triangulation.py:110: FutureWarning: comparison to `None` will result in an elementwise object comparison in the future.\n", " self._neighbors)\n" ] }, { "data": { "image/png": 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H3CTClQXXWAs4BxiBbwf5JrC4CH8ssLka+EaEg3UisC1+0pDnV7IltTme7ORh4HERzit8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\n+PUEyN4B/SCLGsjs6td8Xfb76aonbrcjfgkqlzD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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "corners = np.array([[0, 0], [1, 0], [0.5, 0.75**0.5]])\n", "triangle = tri.Triangulation(corners[:, 0], corners[:, 1])\n", "\n", "refiner = tri.UniformTriRefiner(triangle)\n", "trimesh = refiner.refine_triangulation(subdiv=4)\n", "\n", "plt.figure(figsize=(8, 4))\n", "for (i, mesh) in enumerate((triangle, trimesh)):\n", " plt.subplot(1, 2, i+ 1)\n", " plt.triplot(mesh)\n", " plt.axis('off')\n", " plt.axis('equal')\n", " " ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# Mid-points of triangle sides opposite of each corner\n", "midpoints = [(corners[(i + 1) % 3] + corners[(i + 2) % 3]) / 2.0 \\\n", " for i in range(3)]\n", "def xy2bc(xy, tol=1.e-3):\n", " '''Converts 2D Cartesian coordinates to barycentric.'''\n", " s = [(corners[i] - midpoints[i]).dot(xy - midpoints[i]) / 0.75 \\\n", " for i in range(3)]\n", " return np.clip(s, tol, 1.0 - tol)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [], "source": [ "def dirichlet_pdf(x, al):\n", " from operator import mul\n", " from math import gamma\n", " alpha = np.array(al)\n", " coef = gamma(np.sum(alpha)) / reduce(mul, [gamma(a) for a in alpha])\n", " \n", " return coef * reduce(mul, [xx ** (aa - 1) for (xx, aa)in zip(x, alpha)])" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def draw_dirichlet(alpha, nlevels=200, subdiv=8, **kwargs):\n", " refiner = tri.UniformTriRefiner(triangle)\n", " trimesh = refiner.refine_triangulation(subdiv=subdiv)\n", " pvals = [dirichlet_pdf(xy2bc(xy) , alpha) for xy in zip(trimesh.x, trimesh.y)]\n", "\n", " fig = plt.figure(figsize=(10,8))\n", " ax = fig.gca(projection='3d')\n", " ax.plot_trisurf(trimesh.x, trimesh.y, pvals, cmap=cm.jet, linewidth=0.01)\n", " plt.axis('equal')\n", " plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**下面是狄利克雷分布的图像,其中两个水平轴是单纯形平面上的坐标轴,垂直轴对应于概率密度的值。**" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$\\{\\alpha_k\\}=10$的情形:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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VVTGZTLa+ni4igkdYitvSzOEqKPn8/Jw0TTk7O2vlADskMRCsXlrra9lph7TGeSzayIMl\nKDSADH8XrIaH6D7Zdw4xCLur91kzlm5VERRcyfPWdnFxwcnJyS6WtHMO684VtkLI1Al1Ippv481u\n5t57Tk9P6ff7rWwgbW9CbVp4VhnLOcfl5SWj0Yher8dwOLzmBuqC5ekuCZtzHMekaUq/32cwGJCm\nKVEUTa2Io9GI8XhMURTX4hwE4VhpCqA0Ten1egwGA3q9HsaYaabsaDRiNBoBV5ldTav8xcXFtVjL\nTXjyySf5G3/jb/DlX/7lfMVXfAU/93M/B8BP/MRP8NKXvpRHH32URx99lN/5nd9p5fM2RSw8wkJu\nSzMPVYCdc2RZNu1F0/Yc9pVm0HabVq9FKKUeqMC8LzTjgay108JryxRJ7LLFoavWA+F59v07uimr\nMriuyrLk7//9v8973/teXv7ylzMej/n3//7f89Vf/dWcnZ2t/dlxHPPmN7+Zr/qqr+Ly8pJXvvKV\nfMu3fAtKKd74xjfyxje+ceP1tYkIHuEBlu1m3kwzDwdSm3TZwgM3i7HZ3mD7FpDcBZYpkniTOV8Q\njpXmC2powPzmN7+Zj3/84/z2b/82/+bf/Bt+7Md+jD/8wz/kJS95Ca985Sv5qZ/6Kb7sy75spc95\n6KGHeOihhwAYDoc88sgjfOpTnwK6+bIqgkeYskw38+C+WifNfFW67OpZdKA2xWC/318paHvf3zTv\nAimSuFsO8R49xDXNwxjDI488wic/+Um01vzDf/gPqeuaj3zkI/zH//gfN7L0ADzxxBM89thjfO3X\nfi3ve9/7+Pmf/3ne9ra38TVf8zW86U1v4t69ey2tZH26awsW7pRwWAQrzewBUVUV5+fnFEXByckJ\ng8Hgmtjpsji5C0L21f379wE4OztbusDiulVehcXxQFmWEUXRNCg6xAPleT61DB3z/SocPouE3OXl\n5TRo2RjDV3zFV/C6172OL/mSL1n7sy4vL/mu7/oufvZnf5bhcMgP/MAP8IlPfILHH3+chx9+mB/5\nkR9Ze+w2EQvPkbOM+2o8HlNV1Y0Wi20Ini6npTfHCgG2h1pzaN+QIonCKhxi5tlNNAVPG1RVxWte\n8xq+53u+h+/4ju8A4EUvetH09294wxv4tm/7ttY+bxNkZz5Slulm3qwXc+/ePTkI5jAajdZyXwl3\nixRJbIdjcf8cAou+q9FodE2QbPoZr3/963n5y1/OD//wD09//vTTT/Pwww8D8M53vpNXvOIVrXze\npojgOUJCccDwRju7oYc4nSiKlg64PSYLT8i+CrQRyyR1Z+4eKZIoHDKL9ro26/C8733v4+1vfztf\n+ZVfyaOPPgrAP/pH/4h3vOMdPP744yileNnLXsYv/MIvtPJ5myKC54gIaeZ1XXNxcfGA1abZrTtY\nLNb5jEM+DJod34HWag61wbHHUbXBqkUSb2uaeujPwyFwyN/RbTE8m/J1X/d1c0thfOu3fmsr47eN\nCJ4jYDZOJ1gjmsUDJ5MJRVEs3a17lm1sGF2y8HjvGY/H11Lxv/CFL7Q2N6Gb3FTjZLbvkaTGC13i\npqDltgoP7hsieA6Ym9LMQ5G6YLGI43hj18whumWaqfhtXKNFiHVmf1glKBqYPn+HEA90aM83HOaa\nbqLtoOV9QgTPgTKvm/ksl5eXwFXBqLBxd4ltVA5eRVSEStLe+7nX6BAFnrAei4Kix+MxgBRJFO6c\nmyw8p6enO5jR7hHBc2AsWyXZe0+SJGRZ1tqG23UrxSoFAIOLL7iv5FASViU8e3EcT3uESZHE7nFs\nLy2j0UgEj7DfLJNmHvo6JUkyLdbW5oPepZibdQhB3ePxGGPM1itJb8oxbdKHwDLxQHVdrxQUfdcc\nmzjYZxbVF6rrupMW/btABM8BcJv7al5fp/Pz805bY7bBTQKqmaE2GAyW2hC2VchQOB6kSKKwLW4S\np8d634jg2WOW6WbeTDOftegcS92cm2gWWFw3Q61LiGjqFutYRKRI4t1yTFar4FY9VkTw7CG3xeks\nk2Z+LA94k1kBtU6BxZvGu2tmN+pj/E6PhS4USTzmg3IfEQvPg4jg2SOW7WY+mUwwxtx4iB9TZeRZ\n2iiwuA1WXeuxblrCFW0XSVyWQ7rvwjN3SGu6iWMXrSJ49oTb4nSaFYCXiUHZB8ED7T+g1lrOz887\n577qQqFHYb/ZtEii3FOHxTwLT3DdHysieDpOM04HFqeZNysAH8rG1eY6QuC2934t99U8du3SEoTb\nWCUo+hjjgQ45fmfe2trso7WPiODpKME0XVUVzz77LPfu3Xvgza2ZZr5qCvU+WHjaGM85x3g8pq5r\nkiShLMtWxI4g7CvzgqIXxQPNxgIdqjg4Fkaj0dG2lQARPJ1k1n01u8k008xPTk4eCGZchkO3TjQF\nYZqmnJ2dTTfzLnLo34fQbW6LBwpFEuHKLSJFErvNXXRK30dE8HSIZdLMJ5MJdV3T6/VIkmSjzeZQ\nLTzz6g5tgy6KlK7N59jZV5fJvHigsP9EUbQXRRKXYV+/n2URl9Z1RPB0gNvSzIFpnE6wVmz6kG7j\nId+1AAjuq6qqptlXs2nbhywIDnnjFnZPs1WGFEnsNtIpfT4ieHbIMmnm4XfW2latFftw+C87x1n3\n1b1792RzFYSWmXeI7nuRxEO18CzaN4+5UzqI4NkZt6WZNzt1a63p9Xqtuma2FbTcdnfz26jrmtFo\ntFQ8U1dcbtseSxB2SReKJArzLb7i0hLulGW7mTfTzC8uLvbmMNzGPOe9hTWv0zz3lSAI3WFXRRJv\n45AtPPPWNRqNePjhh3cwo24ggueOWKabeWh1MJtmvi/xNm3Pc954N12nZcbremFEQegqbYoDKZK4\nG8SlJWydVbqZz3PL7EPNnG2PqZS6Vk163XT8tufW5lginoRjZhdFEo/NwiOCR9gat6WZ35ZVFDj2\nw9B7z2g0aq2a9L5vcs3msBL/0F2O+Zlti3WLJAZLkHAdETxC6yzTzTzPc/I8XyqraN+sMW0Rxjo/\nP1+rmvQs23C53fWh1uzwnmXZ1FU6WxhuH2uiHCpy/dtl2SKJxxwULWnp8xHB0yK3pZnD9QNrlTTz\nrouTQFtjNrPUBoMBaZq2Mu6+0myR0e/3ieOYsiyvZcSEvwmF4WZjIKRFgLAJXbWMLhMPtKhIYvjZ\noXGT4Dk9Pd3BjLqBCJ6WCFlDdV2TpuncNPPxeIy1duq+WpZ9cWm1sRk23TW9Xg/n3FbS8bu2cS/6\njue1yFj0t2FNs4XhwptvEECAmP+Fg2aVeKDwPB1DULQIHmEjmu6ruq6pqoosy679PhzgWZYxHA5X\nfpi2Ud+may6tEO80Ho8xxkzdV0VRtDrHNtm2EA1B2sBGPdOa/90i8/8+twcQhGWYFw80mUym9/qi\nIon7+EIQBNws1tqdJ3vskuNd+YbMSzOfNakG91UcxxvFn2wzhbwL1o5g/XLOMRgMpm9k0O1igdti\n1sq1aZB2k5vM/9vKhBEOgy7sFW0TnoXmnjMbFJ3n+UHFA+3rvNtABM8aLEozD4dpM316OBxee5jW\nYVuHdNvunVXnOWv9yrJsYe2dYyBYuUaj0TUr17a5qT2AVMYVDpl5+19XiySuwrx1HaJgXRURPCtw\nW5p5eCguLi5ar/67D4f+KoInWL9uO9i7nFnVtquxLMtrlaN3SXCFzdv0Z4NApSjcfOSAOQz2sUji\nTXvcMd+TIniWYJk08xBY6r3n3r17rb6Zb+sG3YV7pxm8Peu+WsQ+iL11CfdOSCU/PT1d+vue/btt\nuimbm/4yReEkIPrwOOTncFV2USRxnTk2ke9PBM+NLJNm3qySPBwOuby8bP2G3rZLq83xYLE5NdQe\nWiV4exuH5TZqBa1DM/U+xOnskzhYpihcM/6hi6Z/YTUO7Xtr26XflSKJ89Y1mUyuJdQcIyJ4FrBM\nN/Nmmnkcx1Ozf9vsQ6DtTYS4lFVrD8H2RNkux5oXlFwUBdba1ua2K+bFP9xk+pfaQMIh06Uiicfe\nKR1E8MwlpJfDfPfVbWnmbbsU9sXC0xwzxLc0i+XtOi6lC7QZlLwPMSKLTP831QY61GJwQve462do\nkyKJq4igees69irLIIJnIfOETlmWTCYTjDFzLRVdP3xm2ZbgCZkMoXVGKJbXhTm2HbS87Fgi/p7n\nttpA4c23ruvOZsEcI4tquwibsUo80DJB0Yv2JLHwiOCZy+xN1Ewzvy3Qtu1U7+aY+/BG773n8vJy\nLffVIbKoUvKivz1GZt96mxt7VwJAhcOkq3vqTaUinHM3FklsjtHk2BuHggieuYQbJbSLWKVL97as\nJtugzbkGC4b3/saaOqvSZQvPbTSDkm+rlLxJPFAXN+xNOYTaQIf63Qi7YdYyCouTBOCqzEUURXjv\nMca0KniefPJJXvva1/KXf/mXKKX4e3/v7/GDP/iDfP7zn+dv/a2/xV/8xV/wV/7KX+FXfuVXuHfv\nXiuf2QbyejSHkFF0//59AM7OzpY+wPcx3mYTmteqGaB3DBv9ouvnvWc8Hk+7vJ+enrZezn1RkO++\nB7jfRNjw0zSl1+sxGAzo9XrTTb0oCkajEePxmKIopvFBh3o9hM04hPsi7LfNZyI0Wg7PxHd+53fy\nV//qX+Xtb387H/rQh/jgBz84jVFdlziOefOb38yHP/xh3v/+9/PP/tk/40/+5E/46Z/+ab7lW76F\nj33sY3zzN38zP/3TP93GMltDBM8cgrnw5OSEwWCwktl8mwfONsbdZMy6rjk/P6csS05PT+n3+51P\nyd+2IKiqivv37+OcW0koC6vTrAuUpin9fn+64SulsNYymUwYjUZTS21oBSOszqFarA5pTU33cHgm\nfvVXf5V//s//OS95yUt46qmneO1rX8u9e/f463/9r/NDP/RD5Hm+8uc89NBDfNVXfRUAw+GQRx55\nhE996lP8xm/8Bt/7vd8LwPd+7/fyrne9q9X1bYq4tOYQ3srXYZsWnq6M2XT1zVaUPmQLw01sGpR8\nrNetbVatDdRFV5ggtEmaprzyla/k937v9/imb/omvvu7v5uLiws++MEP8vjjj08tQuvyxBNP8Nhj\nj/HX/tpf45lnnuHFL34xAC9+8Yt55pln2lhCa4jgaZlDdmk1A3CTJLmTXk/bWHfbrSWKomA8Hm+c\nkSZsh9tqA0mbjOPkUC1Wi9Z1cXExfZE/OTnhVa96Fa961as2+qzLy0te85rX8LM/+7MPxAd18fkR\nwTOHrn1JsN0U8mWo65rRaIRS6sYA3K5bKtr8bkPGRJ7ntwYlC93httpAwaUNzBVBx8qhCoRDY9H3\n1HaWVlVVvOY1r+Hv/t2/y3d8x3cAV1adz3zmMzz00EM8/fTTvOhFL2rt89pAYnhaZp8sPMvgnGM0\nGnFxcUGWZUtlG+1TzM06hKDk0FKkraDkrqzTOcfnPvvZXU/jTgkB0UmS0Ov16Pf79Ho9jDHTGlwh\nIDrP82mWWFe+M2F1jk3AjUaj1gSP957Xv/71vPzlL+eHf/iHpz//9m//dt761rcC8Na3vnUqhLqC\nvJIuYN2Ddp+Clm+aa9jkx+Pxnbmv7oJNv59mm4zhcDi1erUxr10zubzkHa99LZ/74Aep65o4TXnZ\nq1/N//AzP7NUk9dD4qaKuMvWBhIxJOyCu7DwvO997+Ptb387X/mVX8mjjz4KwD/+x/+YH/3RH+Vv\n/s2/yVve8pZpWnqXEMHTMvsWtDxvrs1Ci6u6ag7VwjMvKLmrva/WuV5f+PSnedurX031uc+hnSPR\nGvKcP3/Xu3jrxz7G9/zmbx5948FVawM1/6YLgla4zrF9L5eXl2sn48zydV/3dQvDIX73d3+3lc/Y\nBvv/yt4x9tmlFVw1FxcXW6sfs2vWDdQOdYbOzs6mGVhdEWNN1tnAy6Lgba9+NXz+88RKYYCkqtB1\nTaoUoz/+Y/73v/N32p/sAXBbbaDgEj6E2kDHJhD2lUXf02g0OvpeWiJ4FtCV3k/bHLfZsqIoCp59\n9tmN68cckoXHWsvFxcU0KLnf7+9F1etVeef3fR/u059GjceYyYS4LNFAP4qI6xrjPee///v8n//k\nn+xkfvtEszZQHMdEUXRjbaCiKKQ2kNAqi+4la+3BvcCuigieltk3weOcmx7qw+GQ4XC4UaxOF60e\nTZaZ310MVpppAAAgAElEQVRUSm6DNsTXn7z73XzmPe9h2O8zeK5wZOQc2jmc90TGkGlNZC1//pa3\nMLq4aGHmx0VwcSVJQpZlDAYD+v3+NC4qxIWNRiPyPKcsSwmIvgMO2WK1aF2Hut5lEcHTMvsStBys\nOs656aHexcDUuxZQoVKytfZWS1fXxd0y/N6P/zgDwOU59WRCphRRHJN5Tx9IyhIDxM6RjEb8xhve\nsOMZHwbzWgJkWUYURdPaTl1zhR2yQDgk5n1P+75PtUX3Xls7wiYPdpeDlr33VFXFeDye1hVpMxi1\ny4UCb2LTSsn7yHv/6T+lfvJJeloT93pURYGzlqSqMElCVdf4NCWua7zWqKri8n3v4/NPPcULXvrS\nXU//oJDaQHfPMQq4Y1vvLGLhaZkux3hYa7m8vGQ8HjMYDBgMBi3Nbnu0fT1nr2MzKFkpdS0o+S7Z\nhbXoyV/6JYbGECuFm0yI85xMa+LBgEQp0jhmWFVEWhMBKoq4B7z3B3/wTue5r2x6oEptIGEdFll4\nDqGsyKaIhadluhjDEzqa53lOlmUMh8NrActdmeddjNfEWstoNFor/T7MDbr3prjM9fr9t74Vnn6a\nyDkUoIzBWYuuKpI4xgF6PMZlGVopdJ4TaY3q9bj4wAcYj0b090AwHxJt1AZal0MUUV17brfJaDSi\n1+vteho7RwTPAg4lSysUD4yiiNPT02v1QQJtPvhdj2sJgdqTyYQ8z+n1etMMmkNg2XU8+Yu/SOI9\ncRShAG0tKsvIvUdPJvjnOpArrTF1Db0elbXEZUkN/P4/+Ad848/93FbXItzOTbWBnHMP1AbatFnq\noTwnh8y8/fzy8vLoU9JBBE/rdOXAt9YyHo+x1i6MSdmnzastUVbX9bRh5CIBuAvu8r555iMfwT/5\nJH1jUN5fxe4AkfekSkG/T1pVqCjCjce45yxfcRThvGfgPc+8+913MldhdYIrLBAsuUEEhWSFYPkJ\ngqmLzR6F1RHBsxgRPFuibXPpsgfiIvfVbeN21cLT1rxCUHJVVWitWyux3vb1uwv+4Md/nH5V4QFf\nVfSNoa4qqCpMHGONwVsLVYXOMrxzmKIg6vdJoohSa3rPPstHfv3X+a++8zt3vRzhFtZ1hR16QPQx\nxbVcXFy02jh0XxHBs4BNXFrbOASXERLNPk+7tF5sKy5ones52xNsOBwyHo9bnd++4T/0IeLn6u2o\nNEU5R2wMZBmlcwyqijxJiMqS2Dl8WaJ6PXxRYKOIQRxjleKpf/EvRPDsKfNcYc65qQiqqoo8z6d/\n19V4NeE6Ye+dZ+ERwSOCZytssyryPGZTquM4XnpT6qpFpg3mBSVvI4ulCy7MZfnIL/8y5tlnSZ5z\ne1hrcZMJPsuIrYUoIvKe7DkLQOQ9VmvcZEI0GJA4h1OKoTE8+8d/TFEUpGm662UJLRBcXMEdFqxA\nIS0eroJf56XFd+m5X5ZjEm9i4bniOOx5d8xdCZ7gvprt87TKQ7wPWVXr9L+aTCZ3Uil5l67Adczx\nn/pX/4q+MSRKQV0TVRWZMaSjEcZa+tZSG0NaFPR62dWhUNeYSGOeOwz7z1l9ht7z4Te/eeU5HAv7\nfqAG604cAtiVYjAYTPeYuq6ZTCaMx2MmkwllWUqbjB1zUx8tETxi4VnIphvVNqstK6WmxQOVUhu7\nrw5pg+qKW+8uWPV7q+sa+6d/Suo9tbWkWmPiGKzF9XqUUYTBc6KgTlP8aERiHTpNiLMMqpKyqlFp\nylmWkteW0W//Nvzoj25phUJXCPvOooDo4Aory/KBgOjwv7sm/vZdkM5j0ZouLi64d+/eDmbULUTw\nbIFtPERhzJBSXVXVNPtq0+JmbbIrC8+ylZL3waK1CTfN58/+5b/ki8oS6xwDY65S9J9zVSggxWOV\nZlBXTJTC6Aiy7Kri8mgEWUba71FXFWnl0Urhn3iC8/NzTk9P73CVQldoBkTPc4U1A6KbwdBt1AYS\nlmc0GvFSqY4uLq1tsM32Cufn5yiluHfvXiv1Y7Z1YN+VCOhKpeS22OZ1u//Od15ZvqIIbS2+qnDW\n4m1NbBSpUqRxhHKOngKDRZUFcVlCv09sNLGGkyRGJ4ZepBkWBX/2Mz+ztTkL+0fTFRaapTZdYcE6\nHTrG76pZapdeVNriJguPvJSI4FnIplaTNh+muq45Pz8HmG4eh55GPjvmvDlaa6ed3k9OTpa6Ll2z\nyATWvW7LrsU5h/74x4nrmqossM4yxDNwNQPv0dYSGcXQWaosoTceYwYDTJbSV4ozDScK0rrGK0Vm\na1RdkqUJ9b/73bXmLhwPs20yBoPBtTYZzWapoU3GXTRLPTSX1iIkhucKcWndwLqHY1uHanBflWVJ\nv99nPB7vhRl427VpmrWGdl0peVcCKhSWDLVTgptgEZ/85Xdg8gmx9/gkxiiFUaASA5VFK09V1aA1\nQ2Pw/R7kY9LcYk77WFfj0egoIi5yVJYxMBF1VVE++dQdrlzYBdsosyG1gdrnJguPCB6x8GyFTQ/B\nppsG4OzsjDRNtyJ2umrxaNKcY1VV3L9/f1opOcuytevz7CNB7J2fn08PgOYbcl3X1HX9wBvy5Fd/\nhTRSRIkhMxERUE1yTFmg46v2ElmkQUFaVXgsPRMTnfTQgD+fXLUoiDxJluCKnH5doyNNWoz52P/8\nll1eFuEACK6wJEmmrrBQZgOeT0gYjUbkeb6xK+xQg5bncXl5KS4txMKzFTYREXVdT9/cZxtadiHl\ne1djeu8ZjUaUZclgMFip1tDs3LrKbZaxUFcI4PT0FO89dV1PhXAQQ3B1H5VlCVylr08+/GG+SGt6\nWnNR5Ff9s3B4B0wmmNMe8aRmHEeofELcHxBPxlRZhsor9GmP2CjAQxQxyFJUpOjjUbVn/Fvvgte9\nftuXaK/YV1HdJW6qDRRaxISssEOoDdQGkpa+GBE8N7CJS8s5t9J/471nPB5TluVCN80+WGOg3XmG\nDS5USr53714rG1lbb3d38Z0scuGFYnDNuTQDRkPK8DMf+H0Go3OyJGWS5/SzhLS06AT8pKQcZEzG\nBaaXcWYto+GA4WhElaZopehNKrJeShSBigy+KKmjiMR7xr4mSQzFJ/90q9dgXzmUQ7cr1pBmhehg\n+Wn2CZsV+rMiKLAP++g63FSHR3ppieDZGss+ULOtD87Ozha6rvbFGtMWwaLhnCNNU/r9fivjdmHj\nXpa6rqfVbZepK9T8PoMAunj7v6YfK2JXY/oJkfP4zIDTqDimPylR/RRvK2KnSKoc3R9gNZyMc+xZ\nnwhPXTpM7NERqPEFajAg6xmqsiK5uM+zf/5n3PvP/4u7uCyCMGWd2kBhD9invWATnHMHXZNsWSSG\nZwss+xA1s4yGwyGDweDOg5K7KKKalZLjOCaO404Ha7d5/cJYweJ3cXExbQI7u2Ete5+ZD/0RgyyG\nWJEaDZHCFiU+L/F1jRpmZM+OUFWNpWIYx7j8kp5yaB1Bz6DPx+hJgXc1JvJkZwNc4jHeYrKYgfY8\n+Ytvau06CMK6NOsChRelwWBAmqZEUYS1lqIoABiPxxRFMXWN7Ts3WeKORdzdhFh4bmDdG+S2Az8c\n6EVRrJRl1EVxsoh1x5xXKTn0w2qLNtfcduYKPH8NjDE3WvyWoSoK/Oc+icaRGUVe1/jSol2JMwn6\nskAZUF/U54SKiVckdUU+yDjTkA8z9HhC/MUDlC1QxmOTmNhBz5XkeIxWOA3Jhx5v61IIQqvMusKa\nbnLnHFVVXQXlPyeWmpmP+y4UumrB3wUieLbAogPVez8turXOYdZl91OTdTaIZgr+bFDyvm84yxKs\nOtbaG6tFr8KT/+tbOFGQZSlV7YioSGNPbAa4yZhxFuO/UBC/MCYqPL3Y4n3MsG9QeY3TlmE/wlQl\nrm/wSQJlSakcTmuMUdTGYxyY+8+0cBWELtKVGJ42WeQKC/FARVE84ArrekC0WHhuRgTPFpgnTELd\nFOfc9EBvY9xN2fWYy8YwddnC08ZYoeZIqBbd1uZU/Yd3owx4X6NdRdYzaJ2gnEUN+5x5GGlFdHGJ\nf8GAnq0p65zMZYyTmH7iie5b1EmMqyymzLFac+JKxsaQmZgLV+PTjF455hP/9rd5yav+u4N5OxYO\nk3nC4BBqA81bVxBtggieG2nDpdV0X2VZtnbdmDBu237mXVqNQlDyvBT8Jvti2VoH5xyj0QhrLVrr\nje6PecSf+CiDWONqTzpM8bUDW4HzKAU2MgxTg00j6skIow2uZ9AaVAQneC6HCZmvie7nqLMYrS1+\nMCApCzCaOO4RlRPqJOYL7/7fcF//TQ+kCx9j/6RDtIocG01XWKCZFl9VFXmeT/+umRnWle9+NBq1\nlvCx74jg2QLhgA6WiyiKNo7F2CeWiWEKadbLiMC2hV4XBFTz/kjTlOFwOG0f0hbPPvkX6Mv7EBvi\n5/Zr7QHrUHWNUhrvHTaLyS5GFNrgTE2UDXF1RdLX+IkjShW+8EQP97F+TJ0OULXDZIZCe/AlftDD\neId94g/Jsmy6xuAeaMZIdPVg2AaHsrZdPy9ts4kY7XJtoHnrury8lJT05xDBswVChdvxeLy2+2oe\nu3Y/rcKiMUMM07Jp1l1nneu3rGVrXcJ8PvMr/4qHEg/UV5tgDV6Bi0psfCV2BoWirEr8Fw2IJxNK\nlZKVBfezmFNfUyQJkctJXAEqph4MiX1FZQtsNCRTNRceYlVRAKcXn5vO46YYiXkHw23tMYTdciji\nrW3aqg20LUTwPI8InhtY9WZsWi7gqhpumxv4vgieedftpqDkXcxxF2+sy1i2Np3XtWv1R/83Ookx\neLzXOFOT2Qo16ENd47Vi0oP+FwpsT5Nah6fGZ33inkHVjiqxnFiLHaToyGPrEmMiTBZjXQ5xijIR\n1ntSpYiV5cl/9xt86Td9+9y5hRiJeQdDsALB8y8Nx2AFEu6ebbsbl60N1BRLwXK0ybwWWXikyvIV\nInhaYjad+v79+60/UF1wxSzDbAzTsoUV73J+d00oIKiUWmjZante0eeewioLWuPqgjQ2qCTD1xZi\nA1FEzzsmZ570/gT7gj7OOry2RA4qFWFShypiXGxRpUJPclwP3GBI5GGiFGnkmDiHM4ZMKT773l+H\nOYJnHvMOhhATEd6Ojz0WSNh/mmJ/kSssBESve68vOhukcejziODZkFDPoa7ra6nE4dBv+xDbBwtP\noJmZtonrpstCb1s1l5b97EU8+8k/Jxt/nn5qwHliY3AWtLfgPTh3Fb+TxKSpojoxmGpMWkDRj4iV\n4jw2nGGpjIKqQlWW6kTj0j7KO+LIY6oKH6Vkg+SqmWMWU35s/Xo8s+0xQGKBukA4iIX2uM0Vtm5t\noNnfieB5HhE8N3DTTdV0T6Rp+kAq8V25itoYcxtioqqqVjLTtsFdCaim1e+uLVuf+81/zWlq0LHB\nVSVOxxgN1DUoi9UGoyzKlTAwuHKMzqEYJnDSw+cVcV+jSoVLI5xJSesxaRZhEwuuovQpyaBHrSyO\nGrIEo8AUn211LevGAskBLSyiqxl0m9QGWrQmcWk9jwieNQiBt7e5J/bJGtPWBhDSNIHWgpK7bOGB\nB61uzUawq8QrtblO9/E/IDEWpxXKKCLlsd5T2xzVj8AXlC6l5zy1tWT3BhSTEcQRKh9RJBmJKqm0\nwblL+l7hBhqbxOBy6J2Q+hrnFYnRjKoKraDwEFPwF+/7P/jP/tv/vpW1zLJsLNCurUBdPVSF/WGV\n2kBaa7z31HV9LSD68vKSF77whbtaQqeQV6AVcM5xeXnJaDSi1+txcnKy8EDfF8HT1oYc6slcXl6S\nJAnGmM5mYLVdeLBJWZbcv38f7z1nZ2ckSbKTQy995hPEqUFHHp3G1JHHmILspE+WapJBj6gPeQxx\nXeIMWA/JZEKEBm2JgSKBOFG4OML2EnQ1xqsE7WusUlcCykM86FEbRRwrXnjS4wvv+eU7XW94M06S\nhF6vx2AwoNfrEUXR9M14NBpd653UZRHdNQ5NvO3zeoKQT5KELMsYDAb0+/2pZShYlr/7u7+b173u\ndXzoQx/i05/+9LR/2CZ8//d/Py9+8Yt5xSteMf3ZT/zET/DSl76URx99lEcffZTf+Z3f2fhztoUI\nnhsID0RwX92/fx+t9VIH2b4Ink3H9d5TFAX3798H4OzsrLU0/EDXLTzwvBgOpQiGw+HOXCrnn34S\nynNcpCBWWG9JYg9RgsfiVYRHESURKq2pdA35iPi0j39Bn/o0Rg8Mznt0D6KkR51FeO+JC1BVhVOg\nDJgsoogVStU4o7ERRAr0pz68k7UHmhagLMumDSRDjF04FEajEXmeT61CXb/PBGEewcWltZ4K/p/6\nqZ/iG7/xG/nUpz7FL/7iL/KCF7yAr/3ar+WHfuiH+LVf+7W1Puf7vu/7HhA0Sine+MY38thjj/HY\nY4/x6le/uo0lbQVxad1CM7tmlcDbfXA/BdadazMoeTgcti50tkXb301d19y/f3+ahbbLN0elFJ/9\nt/8LX6wdUGF0gotLHBEqNjirwQHeoQDd71FqRf+ypIocWEdtIfGey2xAxgjvAVfj8FRfnFAYjdYW\nrCFOYjQFZe1JeymF9RCBOv/Mzq7BIoIV6LYsma62DRDa41CDsMO9qpTikUce4ZFHHuGjH/0oP/mT\nP8krXvEK/uAP/oD3v//9fOADH+C7vuu7Vh7/67/+63niiSce+Pm+vCiI4LmBEIuRZdnKrokuu582\n5bZ6Mm2vvasWHmvtNIiwjQKCba3Tf+IDJL2YLEqYlDVZnKAxuKpGYXFxjHeOOFJATX+gqJ1DVyWR\nicjiCFVbTJQTa0WdpdQ4+sUYjCZJQMUGS4TzkOiYwmusgkiDMpqkmvCZP/0wD33Zl2+8nm1xU5bM\nvLYBbdVKEYRtcFvQ8mAw4Bu+4Rv4hm/4htY/++d//ud529vextd8zdfwpje9iXv37rX+GW1weBK3\nRUJQ8rqpxF1zP7UxZlVVnJ+fU9c1p6en9Hq9B65NVwVKk03mFwTf+fn5tK5G29WSNyG9/xQ+cihl\niWKLNhq8pSSnzDTOjLGRotaKSIHVETaGSDvsvR51ZqiHCWaY4qOEkhGZHuHiqz5b3oP1ChODcjm1\n96RpjaXGp5oay1lf88x73rrrS7EywQqUpunUNZBlGVEUYa0lz3NGo9G01MCxxALtc8zLPA5tPTdx\ncXHB6enp1sb/gR/4AT7xiU/w+OOP8/DDD/MjP/IjW/usTenOLt1RtNZr9XHa1sO0K8HTrJQc6g3d\n1YbRJYtRaAsBV1lowcqzK2a/gyrPiUafI4k9tVIkJsHXUEclw9iAH0OcUXtLWXqoPAYHpyfUWUlU\njEkmNZPMkFQFpVckmUc7Q52m6LrClpYkAnwEScTEeU60hkwxqUuSNGViJ7g//4PdXJQW2cQKJAh3\nya7S0l/0ohdN//cb3vAGvu3bvm1rn7UpIni2RBcDjNdhnUrJ+2DhWZWmG69ZQDC0QmiDNq7b0//u\nlzhJPFEcEykHtaLWBbFyOK3xKiNSGq0UJq2o6pxERZTOorBQ1KhBiukbdJlTZzFZHFM5jQOiyxKj\nNJV3RNrgdEzPFuRoVKpAG6yyDPoZZvx0OxemYywbC9REYoGEXTEej7faS+vpp5/m4YcfBuCd73zn\ntQyuriGCZ0uE0vjb4K4sPJsEJXfFIrNovFW+mxC4vg8NT6uPvgevoFIVqVZMfEkv0fioD1ic0zgH\nxluIYqIXGooxGJvDSR+XWZy+ajJauZQkrdG2xOoUVVncWYLB4rOICoXyoOMYryy2Bh9ptAZvLNHF\nFygnE5Jeb9eXZasssgKFWl2HEAt0aC6gQ1sPLF5TCMRvg7/9t/82733ve/nc5z7Hl37pl/KTP/mT\nvOc97+Hxxx9HKcXLXvYyfuEXfqGVz9oGInhuYd2HYpsWnm2M2ZzrMk0u73qOYV53XTguxGoscuN1\nzZoVX/w5WapIYqhtRNbzKK+Bq5YSDgdGY1VEohxWO2ozxnhDrRzelsSVRTvHJDUMqLE6w+mYJJoQ\nVTVukII2xEZT2QnKanopjPKKJOlT4dHG0EvH/Ml7fpn/+lu/b9eX5c4JBePiOCaKIskIE7bOXWSe\nveMd73jgZ9///d+/1c9sExE8W2KfXFrNMZdpcnnXc2z7EFhmfqFOizGmEw1PF/GACLz4S5xRRJEm\nr0uGSYJ3QF5QaYVVjgiDMjGVU8RawUmPYuzI7ATfS1BWQVmR9mPwCQUROi2JJjH18Mod5r0jwtJL\nIkaF4gSNGhisrYhUTI0jHcbYP/1d4PgEzyySEdYtDtHCM4+wzx3DWpdBBM+W2CfBA1cPxmg0ajUo\nue1N5S42qRCcXVXVtWawt82rDdb5bpvX4zN/9H9h7BifaJyCfk/hrcVrjUtyepGBSFNpT12UaAV4\nhVMaH1uUjbD9mNob6tKh4giVX2JjzSAyVEajjMJPaiIqiAzWpKRRRRFptPZUHpz2oD3Ke6L7f9bK\ntTlEpC6Q0CbHIuI2QQTPLXTRpdXmuGGTLYpi2gR1U2vGttxubY417xqWZcloNFqpgOCuiww2efYP\nf40v7kE/jShrR2Zi6soT2QtMv4ezFpQh0WB7Nfm4RCuDUQkMe1SVRZU52tb42hP5S4okJu5n4Byu\nZ4gmObquKHsRFk0aeTwaq0p0ben1++RFjsl65FZh8r/c0dXZP+ZZgWYF0KLGkdu+Dw/tMD209Swi\n3C/CFSJ4tkTXYjvmEYKS67omSRIGg0FrY4f1t7WpbPN6hj5g1tq9qhg9i3rmw/g0wuLJUkVde5yZ\nEKcZHnBRhkfhbY2OIuKzHmWuyLzHu5raW4ZY/DAjtSUqr6liTeJzSnooKqp+QhoVJP2EwkTkFrK4\noBfB2IFTHtXLsB6iyKPrSz7/6U/ygv/kP9315dlLgriZtQLNNo5susHECnSczNtvLy4uWt3X9x0R\nPHtGGwf/bFByl7OOtoX3/lrKfZqmDIfDnReY3GQsNXkKY66qJp9EipGv6EcxXl91BvU811XCGBQ1\nsS5hUGELg4lSfJJQFQqMRacptYlI+pqo8hTeE6UR/VGOO8mwJibSiiSbkJcx/TgiM47L8QSiDG08\nCsj68NT/8zZe8D/+WFuXaG/YloU3iJtAV6xA+0LXX0TXZd66Li8vt5qSvm+I4LmFQ3NpzQtKzvO8\n1Xoy0K1igYvGuri4wHu/UVuIXfc0C2911WRMWp+TpB6jFXltGPTB14C3KOtwTqFiUCbGKYMGFJrK\nOWIcOtHkLqJfTlC+wCUQ+QSLwWWWHgqbROjEYKuaKKrxOqGfQVlDGilMalDKYlVElhmS2uI++/7W\nrtG+cRciY9tWoEMVCIcoAGfXNBqNtlp0cN8QwbMlwuG1jUaf69T3ualS8j6439oiWHWstfR6vZVT\n7rtGmPuT7/ufyGKPMxGptlzWE1Kd4HH4uiI3Bh2VKJVhygqVaGqtMCrGDz3FRBG7GlKHriOUtpg0\nJlKeizgmzWp8oXC9GJyHsgDFVc0eXeNsAdZAFuO9wTpQqibpR+jLJ3Z7kY6MbVmB9vk5OQbmnTVi\n4bmOCJ4t0ZXWEt77aYr1spWS26CLFp5g3YKrt+JeCwXxuiIW80/+B85ShVI1pYo4GcZQOkqlMKZk\nkNRoH6FUQZVoXJ6johinYpSKqGNL6jy+36PUIxKjcDpF5xN0XGG0ojQR2tfY8YQ0cuQk4CuiOMbE\njomKiLSmshXKRKhI4Z0icpe7vjxHj8QCPc8hBiwv2oMuLi7EwtNABM8tbPJgtB24uyrLVkreVX+u\nu6JZQLDX6xFFEePxeNfTeoBNqnMn5SeJU+hFEZPKYrzCKk+SjjFRD6c81huUs8S+os4cRWlRscYY\nqKKIuvBgc5zSKFvi60vKXg/Ti/AVkDhcCfqeIdIWFStqF5HoMd70iLEUeYEZ9KmqEp30SHRFXI75\nzJ9+kIe+7KvbvWDC2qxqBQq/l1igbjMvaFkEz/OI4NkiuxISq1ZK7pI4WcS6cwzWrSiKptYta23n\n17sqfvQMOvPUgDEWm4PKQKsErT3Wxlz1/gKvNAmeulfjcrAYtPHk1nFCicsSdOkxBZSxI3IVjhin\nHUm/xuQVrjdAa0vPjKnqDOUi0lRTmgSnHN7EoGo8jjSFz/y/vySCp+MssgLVdQ3AZDI5CCvQIVp4\nFrHtxqH7hgieLbILwbNupeRDs/CEXkZlWTIYDIjj+E7acuyC/+/Jj5KYHG8U1noSraj7mtQ4vI9w\n1qFxOK/AaIjBVglpXFFpBd6TGIWPYtykwqYWm/axWYFODZFzjCODSSoiG1GrBBWVgMPrAXGmGOc5\nidf4SGGtIUqfS1FX+uqz7z+202skrE6wAimlqOuawWAgGWEd5aZO6V/yJV+ygxl1ExE8t9CGS6tN\nFo3ZPOBXrZS8D5vTKtcypJovagvRBZGyiHXm9cwfvZUXxo4k0fjSUbiIQQ+81ShrcUVF5DUo8HGM\nJ8IlBu1BJ1BWnh6KqK8oSYntmBJNlHqs0fjcEQ0KjDLUvsYlKbEvoShBRfioJjOeXKUkpqZSJUrH\nVD4iHcDEKRJ/fAUIu3qPbcJNsUB1XVOW5fTvmpagLu0xh/i93CR4Xvayl+1gRt1EBM8SbHJAbqsN\nRPN/V1XFeDwmjuO1gpIPJYbHOTctpBisOndFG2bytUsgfOGPMFlECfRij/UWryOU89RlQZ2lZJnD\nWYWrPKYq8FlMrQxJBDbW1EVNhKfSJX1iyqIg0gpvL5kkp1dNSEuHTxQ+z9F5ifFQuwKfDFBxjc3H\npCalyHr4uiZyFhVpTKIw5flG12Zf6dJBvy433duLYoGstdMK7sEKNOsG61KV8kPl8vKS09PTXU+j\nM4jg2SLbbrEQgpKttRsd8PsgeG4ar1lAcNm2EG3W9NkVzjmqqoL8kySpx9YOZxS9WOEKi3OW+MzQ\ni0oiF0Hk0VHJ2HtUVUHax6HQ2pJrxVBb4mFGPbmEQR+nI9TFCB0VKKdxKsJ5jU0Urlcxrj3EKdqX\nxK3TxiwAACAASURBVHGfxCQUShPHnsJrvFGoWBGlntiOeeqjv8dL/8v/ZmfXS7gbmoHOsJ9WoH1j\nkSgdjUaSlt5ABM8W2ZaQCDV1QlDyuhWCD4HQFsI5t3QBwUO4VqHvl9aaRD1L5Sr6KTifgPJYWxOf\nKjQGHxmqOiLRHlt6+ngmWUqdO1SSEhuLwuK9xSuosgzjc5xOqU8yzCDCTcAZS41moHKUi8jSGh87\nvO5R5p4k9hhdMikg6xnGZQUqRRkwPcPn/uxXRPAcIbNWoFCfbFdWIAlaPl5E8CzBusJlG4InVESu\nqmqloOSb2EcLj/eeoiiYTCZLZaLNo2sb3zLXrOm2Gw6HPPGH7yYxBbqXgC2J05pi7DH3YhQVHot3\n5rkigQqbZuBz+m7MqG9Q2qA0RLFiMonoRzm5TUidw5YTCm2IfAIKalPRizU+t/jM4HwPHRlU5On1\nK8pKk8Yao6HSirSXUDpHZBzGecqRBC4LTIWMWIHaY9FednFxIS6tBiJ4tkibh34zKBlgOBy2XkCw\nbQGwrRgeay2j0WjtthBtb5p3VW8pWHVCV3uA0ZPv4uGhwTuPHiRQ15i+Jk482ARvLco5nPU4DUpH\nuCilyhVx7KiqGhUlpAlc2glKx5hTQznR6IEnVRHKVUziPnGm0EpRpgalJsSuoK49Sju8MlTeEWNw\nSQS2xsUx2luqQpFkkIyOL3D5ELiLe/surUBde9Fpg5uClsXC8zwieLZIW4JnNuvo2Wefbb1dRdts\nw8LTdOX1ej3SND24jWses1adEKvlvUeVf4JTNVniwRjKEuIBeAfa1dRlja4sGoe1CpMleGOok5RY\nV7hYY2uL1pp40MOWY6wHl/WuMq6cIckrfDLB65jaT/BxgipjoqLA6Zwq6qMzTWag0hFJ7JjkDqoc\n089IY09ZOdLkYsdXUtgXxArUDuPxWGJ4GojgWYK1s2c2qJwLi4OSt2FRaHvMTdc+i3OOsiwxxrTi\nymtzvW1b8prMWnVm52vcM6gswhiNtw49uDokvHWUeQVpDCcKi0bVimQ8odYOb1JqHdOPHSNr0U4R\nxZoivipKWE7GmKqmiAzjtE8yqDHWUTnw9QSfKsqTjLJ01N6TRAatHa6a4HJIhj2c83gs1tcQa5Sq\n+cQfv5eXvfxVrVyrLnOIqc+7pi0r0CF+NzftZXfRSmhfEMGzRdY9CGfjU2aDkvch5qYtmm0hjDEH\nHaDdXFcIxrbWLnTb1WVJHF0QRYpaXVlxkkxjC4tyFeqeIU4skYrAA2WBT0FNKpzV+DjFYNF9ha0r\nEmOwxGhfoc/61OOcXl5xP8uxThHpBKsibOy45wtcVFH3MqLEUJY1vUiTxDF5pVDK4qII7z1JmjAZ\nV/T7EX/5mV8/CsETOIR7tasuoHWtQN77oxABXdzPd40Ini2yjohYplLyPgieNsYLbSGMMfT7feq6\nbtUC1cUNIYjd8XhMmqY3CrynPvobJGlJXtZ80UmKN1fBxdZVJGcpWiugxvkYvMXHEbE3oEtUXkIa\nU/oIYzwTq0h0ge4PqXIFmaegRzqISY2BsiJXBa7v6DlFUWlUnOCUQRnIYk9eKFKtMX1LVSuUcTgF\nOtZoYkzuKL/wobu9oMJRsawVKDz/TWvQPnOTiOuiWN0VIniW4C5umFUqJXf1sG6yyRxDrE5VVdNr\nURRFyzNsj7a+j1C2fzKZLBWMffGZ3+RUw+CsR2ktSVLja405iTBRiVMebzOCZ9EnKfiSONK4NKIe\nl/jhEKMrOImoywQdlRQmo1+PyUmxEfi4RteOKqnpZwnkCtt3eKuugqI1+MiQphZLRJQowEGkUN7h\nqNGJJXIRlr/Y+DoJwrLMswJNJpNprE9d1xRFMf2bfY0F6vp50BVE8GyRZQ/C21oh3AVdEVEhZiVJ\nEk5PT6fXoivz2wbNwonAUoUTAbT/OEnP4DX0Ug14vK0wWYR1GcpVz5n4LZgr8WGVIUoNpihwXzSg\nLiqsVqSxZsKYvhqgYwu1JvY5pq6xKqI0J8T9FKWgUgqUx3gLxRhIKHWE1hFVnTNwBt+L8c6jdIzT\nlqqM8ZFlOJxs92IKwi0EcdMM/g9WoOAKa8YCBQHUdSvQ7J5hre38nO8aETxb5LZDet1KyYfo0mrG\nrDQzkbZFVwRUs3Biv98nz/Ol3yyN+izW1SijcSbGlTXJaQquxPuSqgJtS8CT1P8/e+8SI9mWned9\na7/OIyKz6ta93bevmwQkiCIJCwIHogxBFgeG2DTkgSgOBIgWoLZ6oJnnDQ0swCOODZAiIBhET0SD\nkGlCJCA+BJqWSdlq+tGSTIndlEhJrebt2/dRlZkRcR5777U8yI5k3ryZVVlVkVlZ2fEN67Hj7H0i\nzv7PWmuvXynfNg/V1GBJSLpm1kAJLdF70Ii6gsWGefTI0pGLkoZjVn4kOVCDkhx+EtQq2iaKenCn\npqRtikyW8MGYcyUXI7YBYgaDvpv5+td/m+/+7j97swu7Z2fc1RqeF+XifM5Hgc6LoG0aLOdMrfUs\nXXY+DXZX1uWye3RycrI/oXWBveC5Bi9zSusqo8+nFSW/6LivI+ejG0+rWbnLc36Ra7ts3tumktch\nTxPCEe3SIQbmKxIViYF5TASbwSk5BYzIrJV2XOGLgXlKiLgakIOA1gkISNNScsW5yuQiXRmooWVM\nHanLJAKFBrWZ2kY+JWvWtJSQyDN4HBpOBVcZlXTQIiWjGD451FeCRf7Nv/4fefToP/3E2/Nd2Tz2\n7BGRj6WUX8co0Gq12gueC+wFzw1y2UZ4naLkFxn3ZXkVEZ6XbSD4MrxKAfUidhgX+frX/j4hVnxK\nOCnUWvG9J9cCnJp8ahdpk0NrxUtmPDGcNizywBgDc+zo3chGM7MzmqblOCce+Ir4QqJS8oq5acB3\nUGEyR+g7lowMtaGGFpyn6YRxYzRm+CZQPRQUCQkkM42KSiAtKvH492nb9uw0zTzPmNnZxrHdSF5n\n7qo43/NiEau7HgW6bE77poOfZC94bpDzm+rzFCVfh9dZ8LyILcRdjvDA9e7Hs6JZzzPH46N/xIGD\nqcx0bUDM8CGgpmg0Yu8IZlQLp9EfgbBc4qcVG1sS88gcDvDqyF2HyxFPJvUJVGHZsNlAG2cayWQt\nZHVom/EhUrJQ/QI8iBlqQrOA9SQ8iJUShDobITiqRGJvTLOi1VP0G2fiZrt5bAu2txvIPM+UUu7s\n2/N1uC8Rq/uW0toVdz0KdHJyshc8F9gLnmvwsj/27ea+q6Lk1/nhs4sI1y7YpYC6zv3YRVTnPN79\nO0IS2oUHBUuBMtupL1ZfKSZITWCnD+IiPRYy4hekaYXJArHMHDsO4sjjckK0Awgz0xTwoTCnDnyg\n+kKXBz6Uhr7zpyIpGGqORiesGiVEzAvLZoPaghgMLQV1I0UTPgrRCaUamh5/Yj7bjSCE8LHjwrXW\nT7w979Nge+4irzIKdJkoXa/Xe8Fzgb3guUG2G+owDM9VlPwsXseU1vkGgi9iC3HXIzxXcd0apedF\ny7doDj3VCZ6COEcBQh8QOqiKVkVUMXEIipinSsS1Ds9EWE2M7iFmgvQLshoxBVaz8ChUJiskXTGm\nhlxbUhvBYDajEok2kOoJqh5LniqBKj25KouglEVH1dPTXCpQBcTB8oHy3vu/x9uf+pNXzu9p/VQu\nS4Od76q7Z8/TuM2I1W1Ega56Lu5reD7JXvDcAOdTNnBq9LnL+pRd2zZsx9y1oNiOt20g6L1/Zcfu\nL7Lr+V421vNGda57TePmBElrijmaxhFcSxkNGsWFQs0OMqeGWuIJUpFaMHNYiBTXkEJmfNgj44ZZ\nGhZNZTU4ggiudagJYelwU6ArM4+lRVIG9agL1CmjMRGXB6xyAyiBAB66ZsWsAXxF1VPF46NDa8aK\nZ/mw42u//7O8/an/7trr+7S3560A2pW55J49N8VNRoEuO6W1j/B8nL3guQbP88C8mLI5OTnZ+QP3\npqIdu47wwGlYdRd1S3c5wnNxTjcV1dnyB3/wJWJTSItINcNMydXoFp5aHIYiAcpsmHgqkCgklymq\nVN8wh5aD+QnHEsgx0YnDNwHDoIXN1EBbWNkhvRyTWFO1wyxQENxB5A1/RFFPkxTzgWFtBAzzLdkX\nLFdcLFj1VAcxBaZNxVRYla+89Dps3563QvIqW4G7epT4deG+WTHctZqkl40CPc0p/e233761ebwO\n7AXPNXnWhns+ZXN+c38dxAnsvi4o5wycXuddiercBruu1bmMTflNHi0SEiLOz1Ac6VAoRcEE74yx\nBtKjSHAAlWGjbDYtD8NErTMTHUhP6TtcnakmEGGePKlTxhw4lBVrHxmbQ1QDXR04qoJrPW0zM46J\n4lsqCjjSEtbjyMI5Fn1g9WSihJYQBHXKOnssepx5jD/c+bo8Kw223TjOC6B9GmzPXeNZ0cyLUaDt\nHnNR+KxWK/7En/gTr2oad5LvjF3ohpnnmaOjI1SVBw8efKw+5abqbXbNLu0RVqvVWdfgxWKxE7Hz\nqhsjPmusrU/P0dHRmaP7TR2zH/K/RR3MUjDXMFfBvD+t1fGQk9C+WXFBqCjqIC4OSG/OfOiWtG7C\naSY3PQ/SE4qbGKWn65SR0wiIbyrmHIkVC3lMkZFiCk3FJzATNvRYEJwqWjPVFQ4WjqG2gKN2B+Aj\ngwUsBixAdqDmqBzdyNqc5/ym0bYtfd9/rJZum2rdbDaM40jOGVXdyffirkYjv9N5Xe/LNgrUNA1d\n17FYLGjb9qyNA5xG04dh4Kd+6qf4pV/6JU5OTjg8PHzpz/7CF77A22+/zZ/+03/67M8++ugjPve5\nz/G93/u9/MiP/AhPnjx56c+5DfaC5yVQVU5OTthsNiwWC5bL5Sc299ehwHgXY27rlo6OjhCRM3uE\nm6oLukts5z6OIwcHB3Rd90Ki9LrrZf4jLCriHdUJaekpKohz1FZxjQMiiKBiVOsoTiH2PHhz5ig+\nItZjzDmydFi/oMZKUYfrHXy7m/IsHXXxJjm09JxwwiG+b/ABRg2oC0idSPWIKCOiRrVImz48baLY\nZGopFJfJdlrY7EKC6Chh4vHqwxdY7Zfjso2jaRqcc9RaGYaBzWbDMAzM80yt9YW/c/clcnTXUkC7\n4HWfzza6E2Mkxohz7kzMP3nyhJ/+6Z/mp3/6p/n85z/P3/gbf4O/+3f/Ll/5ylcopTz3Z/3Nv/k3\n+eVf/uWP/dlP/MRP8LnPfY6vfe1r/MW/+Bf5iZ/4iV1N7UbZC55rcv4HYmaM48jR0dFZIe5VJ7Du\nojjZNduoznbDXywWO0/n3cU6qK3QmecZ7/2NRnW2HG0+ou1nQt/goidrZRRFnJGdkfqAeUNVqLUA\nAXGKw2GSKNLTL4+Z4gLPwOB6DsOIWKaKQ2JhrJ62m5mkQePI2rdE7wjpBAFEoBIRGcjVUxaPyAaI\nJ4tQm4aj4nHekK4SmoilSkEpnPYG6t/o+J3f+/s3ulbXYbtxpJRo25bFYkHXdWfH46dpOosCTdNE\nKeVO/fb2PB/39d5tn7chBP723/7b/NIv/RI/+qM/yk/+5E/yF/7CX+DLX/4yf+2v/TV+9Ed/9LnH\n/qEf+iHeeOONj/3ZP/yH/5DPf/7zAHz+85/nF37hF3Yyj5tmX8PznDxvH5nXRfC8qD3C8zYQvC9s\nfdBUlZTSrdWC/Idv/E/46JgmkM4R2xm0IZsSlplZA6YOQTB3+vP2oqcnthAKAZoDSjlhqSMbaUA8\n2i3IKnSd8uEovOUEZcVBmBlr4ol/E+kdnplSE9kq/iDymfAtNqmjTh2rtSOq4lxPWA5Ms6HxIdSC\nScQlTymQDZqm46MP/8WNr9eLcPFY8MVTNFu/s20N0P402OvFfbtPV0XghmHgz/yZP8NnP/tZ/tbf\n+lvAH9VWvizvvffeWUH022+/zXvvvbeTcW+aveC5JttOyReLkp/F61S0/DxjXscW4qbqbnbxwHrR\na7tM5G3bD+yKp83x8fhP6ZYB7QomjtlFGozaQzFHcIJzQjVDxGNaqQYCRCaqGdkC3bLhcemRcc2G\nJW0zcLJqiWakZUK1oAujWCLxGGk9G3uEiLCpnrqEg25kPS+ZJFFdIjwwTiZ4QzzEJbMGnHdk82ip\nSBOxWLACrnEM+o2drttNcdkpmvOdoS/2BPLe36tIwn2ay3cSlx1LvwlT5tdJ7O8FzzXZnrx5kRNH\nr0PR8nXZpvPGcXyhBoK7+PxXxU17f11nHU/yH3DYOUJoKcyIeTYoMQo1B4IziiqTi5gDs4qY0MwB\nA3yYmX1kLQuW3XuU2TFI4iCs8O1pKkzjzFQDLgpHJRFSQxOUZlyTWcDS0cZCVc9AwptnJlNdoD/o\nOdnAkhm3gLye8G1DnT3VAGmozjBrsHjzhcs3wfnozmXWGNM0nRWSTtP02lpjnOd12dCexX2sR3pa\nhGexWNzIZ7799tt885vf5DOf+Qzvvvsun/70p2/kc3bN6/sLvGWWy+WlRcnP4q6kn3YxZimF4+Nj\ncs4cHh4+M4V1ExGeXXLda9uKvOPjY2KMn6jVuc2aKvEbqjqmCq5twQm+T8wFXHCM2TjpHf5RwC8M\nt1TSg5bjZeGxLBDniGyo4pj9ISeHD9E4MtXElDyDemJrDBqJ3cxMRUJl41tSyBxLRFPABNbaMosg\nTEQpeAxTIx1MrCv4YNAmphrxqUUlsBkFxeG8QJgY5/FW1u2m2dpiNE1D3/dnvw0RIefMZrNhvV6f\nnQZ7mWLoPXvO87Tv0U2J7L/8l/8yX/rSlwD40pe+xF/5K3/lRj5n1+wFzzV5mYZ5N8Vtmn1uNhtO\nTk5o25aDg4NreWDd9aPk16HWysnJCdM0vdQJrF3w/pNvUGQ6PfFEYpoDQ23IGhDfMhmUg4bYJ9QM\nFUNYMIoSuyX+EbxXDolRMRkZpedh9yFBRtaup+0LgxqIUZuKWMAlZZGOcW7miT7CHzqqZLQ6siQC\nlYYjGn+EmDGrMllDVkAdc11QzRiyYK49tb6Igayn/Xz+2f/3i69kLW8DESGldHYarOu6M3+wcRzP\njhFvjVL3AujmuY8RHri8+emu+PEf/3H+/J//83z1q1/lu7/7u/mZn/kZvvjFL/Jrv/ZrfO/3fi+/\n/uu/zhe/+MWdfd5Nsk9pXZO71CH4/AmoXf14r7rOba+SXRmfvi48b0H2LoXYVff1d7/+83QLR1p6\nZi14J5CMooIzIJ02+HPF41GseiRUUA8SUeeJb01888kBD7sP2Ghidg8YmkOsQhDQZQt1YGiMhSaG\nTjjOxiJ+xB/Gt/C2JMaRIQeqOxVNU0xs5kBVJXiHWovrE6sccNEzzg2lFmIAJVFVccGT+p5vPvlt\n4K/uZO3uGufv4WXN5C7WAV1mjXEXfm/3VSTcF57WCXsX9+1nf/ZnL/3zf/yP//FLj33b7AXPDXPX\njpA/i+3DTVUZhoGc81mR9vNy1yM8V411vlbnuifxboMn+f/lsGnIxZFiZCoF5z3eF0bLtL7F1FAD\nw4MznCleKiZKUY/6Bg4nxtIgrNnYA1JzxDBEsjZoFFajoz90HB8Hghs5lgcUa2kOA1Oe8WqMEtEm\ncZhWOJdx0lBoOB4cB+KpJphT5mHEdw8wX1FRNjM4b8wzZAKjf/dW1u4uct4hHj5pjTFN01m90N4a\nYzd8J4m312nfuS32gueGuSnBc5P1MfM8s16vSSlxeHh4J94yb4O7fsx+Xb9BL0IVUB8AJXjPZlRi\nH5hViBKodtp2XlAqDlXBe8MolNrg/EOelMTb7bdYGfTBkdMbZDWaxjiZO3orDG7izShsqjL6SNaO\nLp2wPlkwhoaDWMg1obZgoGKloekSJ1OhiwULnhw8lhUIIAGXjJIF5wXfOiZ7/KqX9c7wLGuMnPPZ\nabC9NcaeLZeJuFLKtcoOvtPYC55rcpdSWjc57mq1otbKcrl86SOMr1OE53mjOjd1XXD1m1l2a3zj\nMQ/FoGr4dnO/QC2JGOupn5Zz1Hwa6fGiRIFiAd+AqZJpSIeZ9+dPs/Qjx/khJvU01SRA02Osqf4R\nak/AFQ7aFR8OCfXCShwuQaVyYolQAl3wDApVjdAJqyGy9JBrRCgohmKYCBocdQQhUMN6Z+t233iW\np9L5NNhFAbQXQd/Z7J3SL2cveG6Y10HwbN294TTMvit379chnXfXojpXffb7T/4jqa2YS1TARIkx\nsJkV7zMpedSUKTuK9zQNqFSqRo7niQ6hr4UYYSqVWRfAE/qw4djeYhlP2FgiV5ikEkugxMpRXoIk\njrWj9R/x4fifIE1HYGTOLWaCyhpvE1E6BqtQWlLKZE1IE8gFqB5zBj6ia5hVkORxUfntr/6v/Nnv\n+y9uc5lfW7Y9gZ7lEH/RWftlvtP3KQ10n+ay5bI5rVYrlsvlK7qiu8te8NwwN7np72Lc85ENEXnl\nG/7T2HWEZ+uFBjx3VOe2+Zdf/1/wyTMXRxsdaoJqwQVBJGBW2MwR6YXkQLUgNEwuE7uerHA0Zg7d\niHMTsx6Q4gHv5iWOzJA71rLEz4XQZ45PGtqlMcywaAZWuecwTDhfGLWSvGcwwWtBLTL6lmIjzgKj\nJLCGPGRCGsG/gYoigOIZNSMxUC0gseV3PvjNveB5QZ6VBts6xJ8XQPs02P3iKsGzj/B8kr3guSYv\n+4a0a172gXVZZOP4+PjOpqB2yTaiVWul67qXFnm3Mc8P539FeNRCU8kGIXhW80wTAtEZmxHCAqiO\nYoozT/VGIIE6cAFtPU9G47DfoHVioifah3Rx4vH0aZo4sZqFAxqOHfQI6hUfIE+ZD+vbFBNCGBiK\nY6OO2TzvLGYMY6WPmAZHmxwaAqGv1BIpQC2Q1SHBEdoFeVacBHzbcmR/eKNr9yp4Vd/7Z6XBttYY\n36lpsPsY4bmMfUrrcvaC54bZ/rh2/UN7mU32ef3AXoa7JqC2Ea3tW2/XdTu6ut1w1Rw/nP8j7wRP\nqQHXVgB8asFBqQVpI1oFzIMVDCEYiFW8h6xQCWjbcJQzB6kwFCWkA471EQWjcYaFA0ZWqBxQ68Rk\nCzZZSO6YFCc+zG/TOuFo6JHU8CCOlGpMrkG1wfUtJ3lmYUqVjkkdpVTwDgPMeaYJMoKaUYjMrG55\nlW+Hu7KxPi0Ntq0FgsvTYHfxhWXPx9lHeK7PXvDcMDf10HtRs89hGJim6VJbiLveGfllOB/R2jaA\n22w2r/qyrk06gGoO56BoS7FMih7VzCxKME90CTBUHd4Z1YyqQlXFR6NmT/U9E0qyEdGZdT6gdcd4\nK6xzy0yAvMR1wtEq0fTKYEsGXdDYRJQTxpwYUiJ4pZqw1gNEhCqObEZqGtbrma4xrInkPIImfBRU\nIqPNNKFhnASXhNlen/twH7iYBgPOBJCqnlljbAXQfeJpPWteR656Xu8Fz+XsBc812UXK41VGeLbt\n7Z1zVzYQvMunql5mvG1UB/6oVqeU8sqv67r8+2/9HpWZIh7U4cUo5kjesdk4UrsAB1UFOS1pBlHU\nFMyRNeK94IOQqyekB3y4CXymP+a4errgyPUho0FsJqYh4QIMBFpR6jzTNjNTOaBLK97dHGBNJPqZ\nIScqQl8rgZlqDlOH6yKr2ZGiQ+MhBuQip35evmfMhnrQ4JDe+L1v/C5/8rPff2NruOfpXOUQX+tp\nNHEbEd47xN9N9kXL12MveJ6DF93YbmpDvM6YW1uIeZ6f6fJ+30LYF6M65yNad3muF6/rX/zhrxDe\naPCNRzxUQIJQakWjkIkkFKVAFSYNFBy+OMwyXRTQgHMVJxXVhrZrWRVFbGCtj5ilUnMlNpXsWhaW\nyb6l2obqO7wfmUrmg/ktUtNTzfDVM9VI9BPJD4isydlRqmeyAG6N1Q6VSC2ZUgV8Qr2jaMGKw3cN\nsR/5J7/3K3vBc4fYpsG89+ScWSwWz3SI3zdFvH2eFuF55513bvlq7j57wXMLvCqzz3me2Ww2r8wW\n4lVGeC6L6twkN+nx9c3payQfyOZIzjNppg+eTTWib8GD1cI6R0KqSBAaSUxNwdkBx6PR6kyMDvGK\naSVbxzgpjxZHDAQW8UNObMFUOkaMOAdiKwy1pVTHSXnA0j9mygtWFZpUWE+OaoVx7pglkuub1CyE\n5DCXEDwng8NFQ2KPc2BOKZOi2iIeVD3ExHv16ztZvz27ZRuZPh/deZpD/MU6oLuWPrqPRcuXzWcf\n4bmcveC5BW5K8KjqpX+nqmw2G0opz2ULcRPXedtRlK2z+TiOl9YpbXkVRqQvyrG8z5suklVBFecT\nYy4QIxXD1ZnHg6c/DFgVTKEGIajHzBEbx6iRzbSibyF6ZS6O2HWsckDCyIZDJh6QtdJ1cHJsdMmz\nnmHRFcbSMvEOlirkGVFH1p7ZO97oJ4JNmH9AdomTLPSuUENCmsI4zGjsEVVqDRADWjOlOoo5LEZW\nYV/H87rxNGuMrSP8eaG0/ff3TXC8Sq4ScKvVisPDw1dwRXebveB5Du5SSuuyMbfHrTebDSklHjx4\n8FwPl7tetPw0kQe3H9W5LUpQioALDbkU+iaw2RRSdHhXWQ+BeAClOlQdIg5XBdGKCCAGzqPNknGa\n8W1ByIy1RcrMo3jME97Buw0uR7QRimsxq1jsELdmnjNtX8n2kIN4xNGwZAgtC18pKkz6gCotFUcI\njtUstF4osWOcEmZGLkowwcVA9YKaQwiYi2SfX/Uy75S7mi69SZ7VE+hiGmwbDbpNAXQfIzyXsS9a\nvpy94LklblrwqOrZcetd2ELsgtuqk7luVOemru0mx/rdP/yXyMLANyAeF4Q8g0stXoSxCNoogYBi\ngMOopyaiVTCM4BTzjuISYxOpZU3fCmXypLbnJHtqFLpYGWtPKMrkI61W5iqMGtCmpfEfMNXMoMJa\nQIJDUTa1x1WQBihKNQdNw0kt9B5821Cmmdh2FK0gjrmAYBR1mGuwpvDBkw946+FbO1nHu8B92Fhf\nRiA8jzXGXXOIf114WoRnL3g+yf6bdQvc1INv+wY1jiNHR0d47zk8PHxhsXOXC3nh8uurtXJ87jly\nNgAAIABJREFUfEzOmcPDwzvdKfpF+O13/wkptBTxTBWKCxyPirlAUaGIYqGjWqSaxwRMQAHFUSyQ\nrUHE48zwrmHILVoBZmbrWdGTGDgpSybXM5aetnEcjx0heUbtmGriw/wGvT/iyfSAEA5JGKU4sgZM\njCAbgg0ohQqkKExTJHoHcUHVgNAxFgcpUjSi7lTwpMOGf/SvfuXVLvaeG2dbDN00DX3fs1gszl5Q\nSikMw8B6vWYcx7PmoLv2qbtPz4er2Ke0Lmcf4XkO7pKB6HbMk5MTzIyDg4OzXPrLjPm0lNGLjHdT\nNUEvEtW5ary7/AB8Il+H1mEhMNRCEk9Y9LhgnKxHmn6Br0K1/O30VcEsIypkPN6F04aDCiFCzYZr\nlhxtAsvFwDBDEwvqe47mjkO/YR4CMTpGcSSEeco0C2XKC0YcbetY10qHMJkjaWEErHaIDAhAPRVC\nQxlZRM9QGpxVqnLqp2VClhkfIhkj+sDvHn31la71ntvnutYYe4f4y3lahGdftPxJ9oLnFrgJN+3t\n20/f9y+82d80N1UTVGtltVq9VKfou9L1+lm8O73PWy5QJZLahmEutJ1jnCqub1AXcXVGnTLPkVmE\nNnlqCNTR4dVoQsEISDEcRlZBfaKUGSQz8pC5KF5HLAol9PhaKNKiMjG4AxInOJ14oi2zRpKMlBqZ\ni2eQlofLNSaVJ/oG05hoXUVDQLoFj2ewIAzFEVDEwaQV7xPTZKRlz5P1xJB21xtpz2647YjvTVtj\n3PUXnOflqvkMw0Df96/giu42e8FzC+xyQzxvC7E1+9wVdz2ltX3wHR8fv1RU5y6zvQfbrtikjLKk\nmif4Uz+qiDAqdNKBZbQW1trTdIWEQ8UTRAidQ83xZAzEOuKcpxGjOgVpeLKpPDwceVLhjXiMV2Vd\nHzBKg86OmIT15CB4xrknu5k3woYn+Q2aKHy4apGYCLFS1FPpqZIITWA1VQTFExGv6JwJ6QHqCk4F\nfGQeDaJnLqCSGNP8qpd/zyW86t/Yy1hjfKeyFY17Ps5e8DwHL5PSetlU0XlbiL7vCSFwfHz8UmNe\n5K50Rr6MWivDMGBmOzuBdRMdsHeBqnJ8fMz/9QdfxjUN2gRmrbgacKlhmAqubVARJFeOc6LrPdkE\nJOBMv91suSIBUhvI80OsDFSpxCaQJ4dvW+ZsOJlZ2xJcS62OLk2sp0CbhLVG+igczwlxDavS4eyY\n1dgzpZ5kFRPPMPeUEEGVSYXatlieiSJoaKg1UhWEyKTgXEA6I0+GCwG3aKntCSebE6J79QX3e+4u\nT0uDXWaNcdFG4z5x2fPrLr+0vmr2EvAWeNmNP+fM0dERqsqDBw9uNLLxqjpCP+3/DsPA8fHxWZfo\nu/bw2pWw2z60tw72X53/Nemwx/uGkBYMWfDOkZ1HJKFWeDxEYteSNaDWoRYwi1SNzJrI2YMLWBsY\nwiGzJjCHC0Z1C57MHY3PzKVHZQbLOBGyT6h4lI5sRqiFhR8YLNEmZVMi4gLiHXN2zDVipjgmRAqY\nkVLieBSqMyZLlFKYrGII2TsqkaKeYkKtjti3/Pw//+Ud3JFXz37TuT3Op8DOF0Nv+4/lnFmv12fe\nedu6oPt+j+7ai9xdYB/huQVedENUVYZhYJ7nj/2Az4+5ywjFTfTNeRkuurqbGTnvrl/LXUrhnXdx\nb9uWpmn4wN6HlBiLEZLgm4bVmPFtoqKM64A/8Kg5wKjIaWGwKSgUC3ifcKXioyM5IVtPrRkXjDkb\nvk1MumCF8ZmYWatnmiJFWqrObCQQamZ0DxCO8TLzwfwZStfha0aDp2YDX1kwENPEPBuSA2vnSC1s\naqDGAFlQ9YQIap5hLJgDEYc0LbF1fO0b//5V34qdcR82nLsYAb0Ol6XBaq2M43ivrDHumxnqTbMX\nPM/BbZ7SmueZ9Xp91kDw4pf6Jn6YN3ma7Hmu96oTWLs+orprXmRzuOj3VUrBOYeZ8djWHFQPQbDi\nCc1p/5roA+OwwZKjpUGtghiejElF1Cj+1Gi0qlBcxKvhnOBTw7oIC5lRKVQ65upZ+g95bG9RSXib\nSU3lZIx0XWJYVcpSmfIBnX9MCCsGXRC9UaswV2P6diRI7SHz5IAZkY7BeXSYaJrCRhYgMGZDgsMv\nE3lVMBcY50xB+Mb4+GZuzp7vaLZRoPN1j09ziL+r1hgXueyZk3N+6RO795X9qtwS192oz9tCPKuB\n4K5rUO5CxONiVOcm01e7mu+Lrr+qslqtPlaXtF6vT9N400BegEvpVPB4IU+KaxrMZobsaZuEquEc\nOJvJRVGNrEVo1dEwYu7bbunfdlmvZljoORmFZpFZFWiCIkRybYnuhJI9Ec9gnoUZgws8cMJUYXSf\nppWCqxs0ONZzpPjIossEPLME1BJaD5jrQC8JWmEsDhWgGqUquHjaR6gaimGpow5rpge7K8Lfs+dp\nXOUQr6qvtTXGycnJ/kj6FewFzy1w3eOSW1uIpmmuZQtxFwTKs7juNZ6P6lzl6v46zPc6nL/Xbdue\nNUvcpihzzvzav/3f8YeJUjwxChIjm81E1zhWQ6A5aEAryoxY5cmmJSxmfHD04hCETV4wz4Z3A60u\nAHBemKunSiKVgpHZ+AN0bGl8JnhlSktMC+ZaJmZUlmxsDUwchpkT/RQH6X2+dfIIaVvEG6UWNiyJ\nEpgVxujp/AFTKRQfUREYBrTrkZBw3jMcFWgXWFVcSMw2MDUwTiN917+26ZT7xH34vW151vdpmwY7\n/++f5hD/KqwxLnLZnPY9eK5mL3ieg5tKaW3rN3bVQPBFuSlB8awxt1Ed59yte2DddhfX8xYg5+/1\n9uEaYyTnzO+sv4q8GZkFSja6BNI1GJXJeQRPIjNXmKzBLx3qOtie0LKK80rXeVbzm8w6kHwkmp1G\njGTJR5OnW4xYDmQ74sBPbOZHTLRINSzAPAe0cZTSUNwBC/0QL4Uh99AGTCLeZXLtmAF1iqK06pgF\nTIVUBGk6sjqqJsSMSR3S9eSxIHgsBELbEg4DP/d//yr/9X/2X5Fz/oTlwF4A3T7fqWt+PrpzmUP8\nXbXG2NtKXM1e8NwCVwmJ8/Ub59/0X3bcXV/ny455FdeJ6tzk9e26+eCz2NZlNU3Dcrk8m8/2IQrg\nvSeEwAfNmtC14AEP4+xoOmEzQOwSqjNTNmbXktoA5lATxCrFDPCnBY3RiI1jLofUvAEfiN6hZqet\nl7UyMxO7R6xKPe3zEzdsciLExMko+Bb8xmNt5bg85EHzLT7QB+A6qjd8gQ2RzmWCzJxaVoDQnHaI\nHhx9Y6y1x1smEzGFgiFNZBwUDUINAR88X+MjUkqEED7WcO4+FJnueb15mkN8KYVpms6E0m0I9cte\nsk5OTvaC5wr2gucWuGyj3kWtyk1GZG66Luh8VOeyouz7xFV1WefFzsVOsceWeVg7qhd8dBQzRI2a\nHGYQ55k1HcvGU1UwBe++vc5VUBcRAa2G80oKQtZDpGzIDtQbRTpWk2PZrVlpR60jSUa8MzR1mBVK\n6OmtsBFYOGXKgePyWVxrTIMSojDMgSKVx8VjzSEdE1pnSvC42kAcmKqjJkcZFJGKBI/RMG8q4iNU\nj4YGl5RvzkdnRabnO+6ef7u+qtfKXgDtuYqbSJE+yxrjvFC/CWuMy56t+wjP1ewFz3Pwsl/S7Zdz\n20DwZbsF3+WIx1U8b1TnPNt/t6sH1y7X76qxtj1AYowfq8vaPhS3czn/51//8F2sd4xFCSEhWYh9\nZNxkut5T5yPG0tEetORa8N5OuxlbRUqlOoczReVUDDnxBKeIN8bS0GhBk2NTKo13mAWcVpwbcMGx\nyodkEhtzxCgcVUBarAyIzOALc3lIiCssRza5JTSBfjET2XDkFkybB3Qlk4MnyxKZCs4Vqj+giII6\nLDRUP1ILqAi1OPDKezpf2qjzsrfr80Wml1kOvCohfV+OC+/rqJ6PZ1ljXJUGu641xlWfeZ694Lma\nveB5Tl5kk9x+mXPODMOw06jGXThGfp3x4DsrqmNmbDYbcs4sFosrozrn12DbdPBX/v0/I3yqxfcN\nIUWmOcNcqUEoVana4w4CZmB4RGd8yAQqFk5PS5meNvYbCTjzpAI+eMwHxlFpDHyEtfXY5Oibgcyb\nTOpxqkiYKVPAdw5dRfwisp7AQiTyEaIZcY4P1z2572jDTK6OoAeIdEjwrKSFPNGGgHWBaV0gRupU\nMYUKuGZBLjMuJIoNoJ7yRs84j2drs/39XFyvq4pMt+mFreXA63bKZs/N8KrE29OsMS5+T58nDXbV\ns3+f0rqaveC5BbZhzvV6/dxRjafxOvTi2dpqbDabM1uMl5n/LgXZTaUEt1GdEAKHh4dnm/TTojrz\nPDNNE03T8PvufXzTU1WggF90rNcTTe8oOjD7htaEUk5PVc1louaenBxNzZxOyeMs03llVYXsW1JV\nLAizHZLriDUOnYSCgQhzCcSwpmolukTB4wATDyKU7Ak+c5If0vv3+XDzaWh7kimeQCmJFYoXQauh\nKeFFqCqInbq3SzWqD0gAE8e0KYjz5MmovqPohD98yC/8y/+D/+Y//0tnEZxtxKfWCnC2IVwUQE9L\nL9yXZnN7Xm+e9T19Xof4yyI83/Vd33Xj83gd2QueG2a7+YnIJ7olvyyvwzFtVWUcR7z39zqqsxV2\n0zQxTdPH7vXTojpbMQiwWCzw3vOunRC1wxMwFYI4SowklPXcEZcNVkYgMwzKGN8g9Z4k4EM4tXgQ\nxaThW1PHwq0xixQi0VXEBeYSaXOBYGzsDZgGHAO+dWRaavGY75E8sNbII62sXSQFZZw8TXOIC4WN\nBVpXOBoh+EjDRAgza4EwO/ANk414C9D11HGNqkdCxFykxgKzYt5hKSJTpek8/+e73+QLF/qkbNfw\nogDaipjLBNDF9MK+Duj5uE8prbs6l2elwa5K1141n/V6vT+WfgV7wfOcXFdknC9U7fv+LJX1Kq7l\nVYy59cAqpZBSYrFY3LmozC7H2kbwLgq7p0V1tg+ylNLHarmG4HExIm1zaqUxgI+ROWesDWAwlhmx\nhrlr8OIxhFoK+ICpYmIEX1l2yjge0uiAusCkHo2ObB02zTS9MZgwqXLYVdbzQ0YVchW6MPPRnOib\nxDxOzCTGyQh2wnE9ZNQWJzOYQyySawZTvJ9YSGGtLbUY6iJlI8Te2NghQqUUhzlBNVJlxir40DC5\nDDHwjXryiTW+2Chu64e0Xd+tkNne28s65V5VB3RxY7lLx4xfNXdRJNx3npYGOx+thNPTn9tokfee\n1WrF4eHhzq/pj/2xP3Z2wCbGyJe//OWdf8ZNsxc8O+Z8U7mtLYSIMI7jnRUnux7zfK3O9njxfX1o\nbouwtx5YXdddetz84kY9DAOqehbV2fIb/+b/oTaeXB2+CqFv2QwT0Sq1elKT0LKmSAsxESRSUUpW\nwGEiiARMjYyCKamFaVjiy3BaKGzKaI7gGto64jWj8YDNHME3dP4jag4QGuIGpuiYVo7uEQzjguQT\nKWywoaNvlfVGmGogNJG4HKkOPvhwSRRw0SE1UN0MM1QJ1KynHaIj5AqODvVCVoBAdY4TV5659ts1\n3a7fVgCdj+JsxdB58XNZHdB1jhmfjwDd1+/zfeauR8OfxsU0GJxmD7bCZ5om/tyf+3N8+tOf5q23\n3uKzn/0sf+pP/Sk+9alP7fQafuM3foNHjx7tbMzb5jv71WXHbK0CxnFkuVx+LKrxqpr63SbbQt2T\nkxPatmW5XJ75Qu2KXa/jy4xVa+X4+PisQV6M8ez6trUnF9MsOWdWqxXOOZbL5SfaEfxvT/4Nvl9Q\ncYwV6gwpNViJhLZHTdnMRokHVBIzDjNBzci1UlVRETKOySKzNuQiSBIGO4ACMjmaFBhdw/HQELyn\n1MimtogcgwsUd8hcPdkt8BiDPzgtNNZCQRnHA9SvGQt8MPcMTYcGzzAHhumAEBvmuGAcPEpC3SHr\n+dTh3VKP+RZzEWl6pgwFQc1TmkRFeOyU1bB6rvuxjchsXbNTSsQYzwT3+UjO1jrg4mmw7caSUqLr\nOhaLBV3X4b0/Kypfr9dnpr5X+bvdpd/lnj/iPgnV7bNl6xD/m7/5m3zxi19knmd+/ud/nu/5nu/h\n+77v+/jCF77AL/7iL+7kM1/37/Ve8Dwnl/1gtm/5R0dHeO85PDz8hAfWbTf1e5kxX+Q6SykcHx9T\na+XBgwdnKZqbmPcuU1ov+vnjOHJ8fEzTNBwcHHxM6JRSLk1hbTYbhmGg7/uzSNBF/oPfUFxA+h5L\nDXP1jDkzZId6Tx0ntHuIqQcCmKEUTGe8r5iO4GaqZDJGnWGcGop6JHlWuWWqiTF7puoZSJgaZhVi\nBjHW85tU6zgelhQHjIIkh+aIasA3lVETbSqs1h1909FrxVchzx1aWop5fHVI6lmPAjhcE6nFmGcB\n88yzo9aItD2qieoSdXIInuZTn+FnfvufvvjN5eMCKKVE27aklM7SVNtIzvZN+SoBtK2taNuWxWJB\n3/eEEM7erNfr9VlR/vbeb//v685drXvZ80kODw/54R/+Yfq+5x/8g3/ARx99xM/93M/xgz/4gxwd\nHb30+CLCD//wD/ODP/iD/L2/9/d2cMW3zz6l9ZJc1xbirqafXnbMba3OLk5gXff6XiXn7/fFhpHn\nGwiev85SCpvNhhDCmTi6incls4yHVHUgAskTRyUsW+ZphbolSRoKM4FKzQOdjYzSkGsDIsRgtKwZ\nVRho8RKxDD4qFh15nInO0SVPzi1HKyEtMrU+4IN5gfOORXPCvOnwLrBaQXoQ2KyN4gUZHTGMPDl6\niyl1zOpYeMdm9qScoSkEr5Tcoi7iu0QdMzSRqSxOhaGT01ojD/PsMFPmAnZwwPxkjSw8v/XND/hv\nd3z/LqsDuqwQevtvL0boLhvjsj4r5/9uXwd0N7gvvZG2XCVGtzU83nt+4Ad+gB/4gR/Yyef91m/9\nFu+88w7vv/8+n/vc5/j+7/9+fuiHfmgnY98We8HzgpxvoHedBoJ3QZzsmuv01dmeXtolr6Jo+Xxt\n1kXDz+1Jn81mc5ZnDyHgvWeaJnLOdF33iajfRd47/ojSJGYFb0LKHqKRCQQzRONp5KcWMMh5Qmn4\nKLxBCkJwClLJKDORkh2LsD5NFVmkzoJExzAvcGUmeiOrMooj4cg54GVDkzKGI4YWk4K6HlFlKNAt\nHGUT0IURFgNuOmAZZ0IBQfDBCHFGmkJVw/T06Lu6grOIOoeVCZMeiR7DUa0ALT55pmGG2OALfJ33\nd3CXn85VhdDnRdDFQujt/9tyWR3QMAyIyL4OaM+tM44jTdPsfNx33nkHgE996lP82I/9GF/+8pf3\ngue+s32IPa8txOsieK4z5m1HdS5e323zLMPPbcFy27YfK3bdbpTnj0Q/7Q3zf/53/wL3Zk9tIj55\nNqUQi+D7jmlYI+2SpDCpEuaRITwkhkgQBYWiFSwhTvFRSf3AZnyDzq3BAmOJiKvkFFgNyoE32iSM\nHDIMa1yacHHBXCt58hiJUIUSI1YGMi1JC4qSS4uTQ1QnAI5Hj1ShxpZGFVaPqFMl+kKpLeYS84kS\nl8Jcl4iCqadIAHFYhTobFnrqPAPG6hW8jD+tEHobyYHTKNDTGiKeF0EXC6lfp35Ar3vNxnnuW3ru\nafPZdSRrs9lQa+Xg4ID1es2v/uqv8nf+zt/Z6WfcBnvB85yM48jJyckL2SLsOtIBN9dp+SpKKaxW\nq2v31bmJRoa7jPA8655cZvgJfKze4/zbuvf+rHFY27ZntSLbGpHtm/52Mzy/fv+8fID6gFYoRQiL\nBXk94RSK64ghYfMGNDO4N3ExYVpROzVJRwXxDiuKOqFU8E1hPS7wOuHVw+RpG8fsG4ZxIjkwNYYi\ndJ2jTB3mhXGe6Zcj85HglsLmScQvI9MkOFOafuSjkwWLfkN93JClpes9PhUcDTV6qgXGk0hM4Kwh\ndyMuGyYOnSdmU1zjUXMUq9TqkOAAT/XKE3G8+/g93nnj7Z3c7xfhMgEEf3T/r0qDned8dOe8+N2O\nse0HdFN+Sy/LXbmOPR/nNovl33vvPX7sx34MON0D/vpf/+v8yI/8yI181k2yFzzPyfao+Yso6Neh\naBmu/iG9SFTnVafdXpTzfZSuiupcTEtsT/GIyNkJtS1N05z931IKpRTGcQQ4Ez//QTJmDRXBSSRv\nMjQNeVyjaYlqYZ0LIT4C51B1mCrOjGxCNEUV5mqIE5oSsRrwzcy8WeJ1oFpPFqg4cm3w44xEg9Cd\nRqVQFv1Axwy+o7hINGXjAq0IzLBOPbaKHLYDdU48pqH1kYwRJ2O2DmKA6qHz5JrxVcH1HM+CWMFC\nh5pDvD81WJw8Eh1ahVkcFEUXj/gffuuf8d//l3/pzrQ2uCyldbEO6Px9viwCtP3/z6oDuugJdp/q\nT14Fr+Nz6Flc9pu4iXTpH//jf5yvfOUrOx3zVbAXPM+J9/6FIjV36UTV8475vFGdm+Q2Gg9ua3We\nx/DzvDXEVWLwYi+Niz1fHjvHMiWkTUzOYDRigJme4CMybCC8ScbwVTBfiVbYFCW5ijmjCjgRZBIG\n3xGLgbj/n713ibEkPc/0nu+/RMS5ZFZ1dTeb7AvZ4lDUUANfIEjGYLQQbFjQQoZWXmgx8EaCtNFC\nOw0EcGMvZmkMIMnwzjZgyAK84WIECaJGd5qkRHHYFEWh2SSbfb/UNfOcE5f/8nnxR2Sdzs6sqszK\nrMpu5Qs0sjI7M07EORHxv/F97/e+2Hmmu7NDpQM21vgK+uzp20xdGUJ0uByxV1q6YYFjybAWQva4\noSNJQ86REIXmitLtVSyWt7mzv8SaOUYCqobUe5Iz2JSIRpAgZFOz6gJ+Zqjmntx2pDzDihB7Q841\n4gIhGUxTY4MhothmydfjDfq+Z7PZHBgGThWyi0IAtslISulAy7XdzrqfIeK9/ICmEfpLHdDD4+P0\nfn3cRNiPApeE5xHho6ThmQjddlXntLEYH6UKzzQ6fpLAz8lEUFU/ZCJ4P2wvYH/4ykvoYk6IQu4y\ntjGo96R+gGpGSpkhWppZhQmZTCKngRwClStj5VkTThJ4QZPFWI8OhhArRAO6tGzu1DSimASuErqh\nwYUe4xIRj02Bofdkp0gCrQL92uGWQgiGgQYZenoi3Hka5wRNkWwM0kWieJzpkTpjU0dIDSFZ7KKC\nTSI72KSrmDgQrQcEcRWpV0QtoU8ELSP3rq54O99guVwe6Yi83R583DqYbdI7jb9POMoQ8ajqz/1y\nwbb//saNfdbrwLPP7p6rDujjpnv5uGMYhvsOR/xzxiXheUT4KBGeKfZgCsB82KrORdXwbOM0gZ/H\nRUOcBn+yfg+zMyNhEeOQoEhlCXicWCSswV8hDGBzJqaW2iZSWtCmEhfhbCZ2ARuUedVTzVpyqojJ\nEkJdHJlnFm0DdbaYmSC+YrNR7I6icUa3cvQ+cWVnTVx5nPW0a2hwhDYRlxW+FSrfIVc3tO/uUtct\nGi0aLAMOsgFRpFXEDSCC9kI7S7g+MZgKkwciivOgooTBIBayccSUyeIRZ9hzdxPTpwrIvdqDh/VR\nj2KxvpdzNtxbB3RYCD39/lFC6B/+8BZ/9mc/5NvffoO3317zb//tf8mnP33tQ4GT21qgS7JyFx83\n8nbU8Vwmpd8bl4TnhDjtBXOelY6zvJBVlRjjQZXjYcNOL/INZqpmTaZxJwn8vNcCdxq8ogG1C7Ty\nDM4hQ08VFakaQmwRuUJtMzlFokac8bTpKrYGoxmyolEw1kOV2RhDt1oyr25jsLiuQqOlWhi6XOFy\ni5hExjAYS62ZISa8ROY7A0N3BY0WkwLZzcga6e0cT6ZLQi8LlqtM5TuME/rbjr5aUjURrTPGRpKd\n0e0v8bkH64hhl9D11PNAtnOMseQsDL1i6poYFIPBeIfGAQU21vAX3/keP/evfvxDn91RidMTAZp0\nMNstsPMgAJPHkvee+Xz+QNs/Tge0nQkGsNm0fOUrr/F3f/cW3/ve+9y5E4gxYIxFNfP5zz+N9/7I\nwMlLHdDHH0etJ/v7+5fBoffAJeF5RDivasxZIoRA27YAZ6bVuchTWtuthQcJ/IS779FJFrgHwXsG\nKutIQXAIUjekIWIEJAjMPd3Q4XJA8Qx2hqssxIGYDM4aUkxEHKRMZTLJKxuu0mhPtpkUGnKX0blj\ndTuxFDCNB3Ww35GWCmGJW7UkmaGaMJ0Bn2hbSzbCMAhdMly5ltncrlk8tcf+61eRusEYQdSQWktW\nS5AKb5U+LwibxHwpDDs13V7HIDNMzAgZsRX9kBGTGTaJ2DRESRgErZ7gf3vpOx8iPIcxfU5VVR2Q\n1u32Udd1pJQ+QH4eRgg9uSwPw/BAHkv3w0RGrl9f8eUvv8Lf//0bvPLKdUJQVCOqhhgz3heTRmMM\nn//8B6fXzkMH9HGqinycjmXC4eNZrVaXhOceuCQ8jwjnVeGZtvswF/KkXRmGgbquiTF+rJ8Et00j\np0yrbRPBo8bNJz1TjPEgWuCs8Ldv/YiwXGLxWGcZhoxJAWnmSN8ibpdmGEAzKXuynyMIKSkpQGWF\nhBJyESibqHRa41PGLDP73lKHDRAwQ4VdKF3t6dY9vgLxjk1rcGogOTaxproSMHVHvGExrqJfKXHh\nqdsBNQ39pkdMT7z9FOaKI208zgWG1mCNEDH4JtMnpc8N1aJi0w4YLNnuICGQjMc6QZ0ltj1m8FAX\njRJ4cor4ask/bm6d6n2dSMR2BSTGSErpQ0LobR3Q/TBVBYEPTeOdFKrKt7/9Nn/1Vz/kO995j7fe\nuoUxjpwDKRmsVXK2GANTITHnzBNPLMk5kVK8ZzDqcSL5qQoEfCgZ/uNGCj6uOOq+v1qtLlta98Al\n4TkhLlpL62G3e1irMz0RX5T9O2p7D+NnlFI6CO+cz+cHLrhTVWdqA2x/zieJhjgN/u+3X4drCwIe\nxSKmxzLDRMW4Jckahq6j8pbBNjg1RMmYYcAZJZtIFnBWSSmSrcUqaLLEzqN1YN/t4uNewJ9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Aqai8h5hme4+gT7r22YvwiJTDXMMHcG2qeWzPZXyMYTnaGLu+yse9it0WoBIbHeVNTi0auWtUuY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Fge9JytCKBwEsoqPRwEHVhjhfz5EkMgqLItnwxBUkY5eylEoJydMR9qaqrGcdQqJIH1Mb0kPK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\nDHx+C7NmnYGFCy8c9O+Bo5kJHjx4EPfeey8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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "draw_dirichlet([10,10,10])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$\\{\\alpha_k\\}=1$的情形:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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EHMfYu3cv1tbWSl+SP+sIT5IkuHLlCowx2LdvX2GRLuFq8n2B6vU61tbWsL6+\nngpMrTVarRYajUYaqeVRMML4VFlIV4V8epivif/8z//Ev//7v+PAgQM4f/48HnzwQezfvx+f/OQn\n8bd/+7dot9sDt3nDDTfgjjvuAABsbGzg0KFDuHjx4o7XfP/738eXv/xlAMDdd9+N9957D2+++Wb6\n72W55iTC04NarTbxRNlZRnjKss18qq+7o/Sil9BPyrSm5GU9b0Uzbm+gMqbCBKFI6vU67rzzTjz3\n3HP4oz/6I/z5n/85tra28OKLL+Kll15CvV4feVunT5/GsWPHcPfdd+/4+YULF3DTTTelfz948CAu\nXLiA66+/Hp7n4Y//+I8RBAEefvhh/M3f/E1hxzYuIngKZhFLyEcln74aN9U3KbM47qJHS3Q6HTSb\nzakr0oTZMKw3kIzJWE6qGrHqd1xbW1vpg/yePXvw2c9+Fp/97GdH3u729jbuv/9+PP744z3L2/vd\nVw8fPowbb7wRb7/9Nu655x7ceuut+PSnPz3y+xaJCJ4elPEimGUJ+SgopdBoNOB53kADbtkjFUV+\ntuwdabfbQ03JQnkY1huIU9oAeoqgZaWqAqFq9PucpqnSSpIEX/ziF/GlL30JX/jCF6769wMHDuDc\nuXPp38+fP48DBw4AAG688UYAwHXXXYc//dM/xfPPPz83wSMenoJZpAjPKBhj0Gg0sLW1hZWVlZGq\njRbJczMJ1lo0m810pMjevXsLETtlO85lgg3RtVoNq6urWFtbw+rqKsIwTHtwNRoNNJtNtNvttEpM\nPrPFZdkEXKPRmEjwWGvx0EMP4bbbbsOjjz7a8zX33Xcf/uM//gMAcOTIEezfvx/XX389ms0mtra2\n0vf/7//+b9x+++2TH8SUyCNpHyZdaBfJtDxoX/km32w2dy19tRtM+/nkx2RsbGykUa8i9ksoD4M6\n4o7aG0jEkDAPio7wPPvss/j2t7+Nj33sY2mp+Te+8Q2cPXsWAPDwww/j85//PJ588knccsstWF9f\nxze/+U0AwBtvvIE/+7M/A0BZgr/8y7/En/zJn0x6aFMjgqdgFs203Gtf840Wx03VVDXC08uUXNbZ\nV2U4X1Vk3N5A+deIoC0fy/a5bG9vT1SM86lPfWok68MTTzxx1c9+93d/Fy+99NLY7zkrRPAUzDi+\nmHG3O+uFbDf6x8ybcT+ffKSr25RcFjGWp2qfV9kZ1BuIzdCNRqMShuhlEwiLSr/PqdFoyCytee9A\nWSlbSmvQ/j27AAAgAElEQVSWVVr5RT2KoqnSV1WK8IzTKXlayiiehPHJp8J40VlZWRmaClt2Q7RQ\nHP0Ej9Z66QsrlvvoZ8CiCR5jDLa2tmCtxcbGxsjdN4dts6yMch4XJdIlImkxkN5A5aTKEat+x1XV\n4x0VETwFsyimZe6pY4zBysqKLOqOvCl5WKRLBIcwKYvYG6jKAqFK9Pqc5D5FiODpwzQXdplNy9Za\nJEmCZrOZ3kBXVlYK2TZQ7kaBg5i2U7IgTIP0Btp9llHALdvxdiOCp2Bm9YUqQkhordFsNqG1xvr6\nOoIgwJUrVwraw9lQ9PnsPo+9yu/ncVOQaFH1mHZBZUN0fnt5ERTHMbTWuHKlg/e9b2NHWfyyL2zL\nTL8ITxXaikyLCJ6CKaOHh6e/t9ttrKysYGNjY4dhuSz7uRvbyzOtKZlvKmV7UhThVE04nfXmm9t4\n+ulT+MUvLuDMmSv4v//3JvzN3/x/I/UGmpQqfqfKdt3OkkajgdXV1XnvxtwRwdOHSS+Esgkejl4E\nQYC9e/fuME4yRV74ZY9UsKm61Wqh3W6X2pQ8CVU5DiGj0Wjj8OGzOHbsAn7963dw5UoL1hooZRCG\nHj70offvSMHmo0DdvYGmNUTL96v89Lqfb29vL31JOiCCp3DKsuDn01f9PCmLdPMqSpQppVJTaD8B\nOA/K8r0R5o+1Fi+/fBHPPHMKJ05cxrlzl2AMYEx2DWhtAQQwxuDQofft+P1hqTAuVuDIT74sfpHu\nCUJvRPD0RwTPjCg6XDrqgtgvfTVsu2WN8BS1X2xKTpIEvu9PPESvm6LPn7CcXLhwBYcPn8bLL5/D\n6dOb6HRiaA14ng/AwPcD+L6BUh6CwAIgsVKv13Dw4G8N3PakYzKqboheJl/L1tZWYfe8RUYETx+m\nSWnNYhEcRUjkS6rnGb2YlS9okvPZbUre2NhAs9ksdP8EYVy2t9s4fPgMXnrpIn7967dw5UoMrRMA\nfA+x8P3QCRMPQQBYaxAEPjwP8H0LzzO47rr1iVNT4/QGKqtfTdgJ33t7RXhE8IjgmQmz7Irci+6S\n6iiKRr4plTUiUwS9TMmzmHAtqShhGMYYvPTSRRw+fBInTryHCxcuwRjPpakA6tVp4XkRAA2tPQAa\nxsBFIQy09uD7FoABEAAIcOONxS1ig3oDKaUAoDJjMoDlEm8S4SFE8MyA3RI83Dyw1WpdNedpmu0W\nvZ+7vc18Wm/WpuR5pgJ93y91V+tl5+zZy3juuTN45ZXf4MyZLXQ6iRMw5L0JghC+b6G1hygClPLh\n+xbWkoDQ2sD3Pee/Aaylz9taIAgsrE1w882D01nTkI8CBUGAVquFtbU16Q1UYgbN0RLBI4KnL9Ne\nsLPstux5Xto80PO8qdNXVYpQlCWttxtU6XOrAltbLTz11BkcO3Yex4+/66qpNKz14PuA7wOeF8CY\nBNYC1sKZh0OXwuJ7jkEYBkgSAyACwCIngFLWVRpqeJ6PW29934A9Kg6+7/QzRHMqLI7jqwzRZe0N\nVMUIT79j2trawv79++ewR+VCBM8MmMVFxNvkkuokSdLqq2mbmxXJvCI8o3ZKXoSI1jSUbX+qjDEG\nP//5eTz33GmcOHEZ58+/C8BPq6m0NjCGjMDWGmgNANoJB9+liTz4voHWbKC1UIqiPEHgwfe99O+e\nlzjzseeiQiFuvfW6uZ6DvCG635gMNkTnzdBF9AYSRqfRaODgwYPz3o25I4JnBsxyvMLm5iZqtRr2\n799fiFiZ1QK5W09PZemUXBRVfOqsEqdOXcJzz53BSy9dwIULW2i3KaXjeT6spUXf85I0qhMEIcLQ\nQxzT/2ut3Gup0gqAi/ZYJwrodeTrsTDGIgwBYzx4XogwNADotddeu4GVlfr8TkYfho3JyPcG6hZB\nu/ndr+KDwaAIz969e+ewR+VCBE8fpo2aFHkxKaXQaDQAAOvr64XOeVoE03K/fZykU3JZIyCTnjcR\nSLPlypUmDh8+ixdeOIdTpy7jvfda0JoqpOi0+y5Vpd2ibgBQBMf3FZTSTvT4CAIP1tJnRb9r4Xkh\nlIrheQEAC2PIoEyfawA2MHseYK12YomquG64YX1OZ2V8ytobaFmuHfHwECJ4BjDp4ljUosrpqziO\nsba2hmazuRBh4Fn3ptlNU/Iw5iWguLEk907hJ2RhOrQ2eOGF83j++fP49a/fwoULl11kJoG1vksn\nWfh+BGOS1E9jre++C2wiN66c3E+rsKylcnIym2to7SMMNYKAFnmtFTh6EwSh2xZHgQyMAcLQwvPo\n2jp4cPcWsFm02ZDeQMUzKMIjgkcEz0yYdhHslabxfR/tdrvAvSTKGvHIk9/HokzJixoZyVfm1Wq1\n9EmZn5D5NQAWumR4Nzl58hKefvokfvnLizh3bgtx3IHnkZGYTiV/V3xord3Ca0H+Gw9KUZk4Lc4U\nxTFGA4ATNh58P3BRIEp1GWMQhjVYm09xkUBSSjuBxNEgD0oBYRhAa+X8PQFuvvma+ZywGTFub6Bp\nx2Qs6j1gEP3u5dvb25LSggiemTCNiFBKpU/u3WmaMpR8z2ub1lo0Gg3EcYz19fWxeg1171tZGRYZ\n4xQeAOzduxfWWiil0qdkjnwB6FkyPA+fRBm5dGkbzz57Fi++eB4nTlzG5mYnraaiHjeA72uQAAlg\njIZSBkFADQDpc9LwPEpN+T5FKmgbFiSQABJICkEQwVqDJCERmiQxAA8ARXR833NRIANjAvi+516X\nuO0bBAH5e5IELhpkcfvt18/pDO4eg3oD8YgYToVVoTdQEUhZen9E8AxgmpTWuP1RrLVoNpuI47hv\nmmYRojFAsfvJNziOdhVl1i7q6W43PpN+KTxuBpffF376jaJooE9imRYHpTSOHj2Ln/3sPI4ffxtv\nvtlwJeHaeW2sS0kZ998ASiWpsPA8SkspReXhYagBWASBD2uR/jv/PzUM9FOh4nkWStF552gQQL10\ntGbxZN1nQZEd6sFj4PtUlh6GXmpq9jxgY6OGG2/cvTLjskRDhhmiR+0NtAj30UkY1IdHZmmJ4JkZ\no15Q/dJXvViUaExRcETDGIN6vY61tbVCtluGG/eosGHd9/2RUnj5z3OYT6KqUSBrLV577W0888xp\nvPLK2zh37l3EMXllAD43VCpOx0p+GvLLWASBdQ0C4R5cAniejyBgLw49zNAAT+366FD1FJuR6bU8\n88oiDCklRmkyHgCqXYUWvS8tVgaeF8D3LZSi6A51WfYRBMZ9nsA11xRzLVSBSXoD8fd7kb/n40CN\nLqvbk2xURPDMgFEvonyV0cbGRvrEsptMEo0aZZvTepjyA1DL3rOjSMHI27LWotVqodPp9O23NGlK\nL++TGDUKVObzDwDvvruNZ589hxdfPIWTJ7exvd1yURwLazV8P0KS6LS5n+9rF0nRLkJDwoSmkuej\nAzYd+0CeHZtGcpSiBoFsWjaGqrUoyuO5dFTgBI125zCBMSGCgEzNUeQhSWg4KJdqe55xr/WcaAIA\nz/l/PAAebrpJmsj1Y5TeQJqaIqHZbFaqNxD3O+rFsoi7QYjgGcCkX5BhC35+MRunymiRIjyTbrOX\nKZlFYVEUecxFV64A2TkIw3BgxK+o91zEKFCSaDz33Bn8/OcX8Otfv4lLl9pOuCl4XgDPo6Gb1MOG\nSse1NrA2BJV/k4DhjsfWKidk6HdJbHB5OKWRtAaCgEQIVWtpJ2YAitDkPVjaVWlZAAqex+8Lt30L\nnoROviDrUlueE6EA4LmREha+r5z52YPvK3zwgyJ4xqE7FZZPk5epN9AsKGsEfx6I4JkB/RZUa206\nEmKSxazM6ac8k9wg8iX43abkRb/hjAr7uLTWA7tFz5pxo0C78XRsrcWrr76FZ589hV/96i2cOnUJ\nSlE0hDoZW3dtBKlwoIoppH9830cUUem41pnvhi8prQP4vnEpJ/LWAEAQGCjFnp2sVDwIAoQh+Xyo\nZNxLe+YoRaKJ+vIEAAw8z7hSdJOKJjo2SnfR/gVp1Mn3ef+8HUJOKR+///u7M1Iif/6rdh2WtTfQ\nNAz6nMq6z7uJCJ4Z0EuYcN8UY0y6oBex3WmZ9zZH9TCVOcJTxLa454jneaXrFt0vCtSrc24R5cLM\nO+808MwzZ/Dii6dw7tw2trbaUIrNvgZRFCCONViAUH8bTjnR/lHnYj89txQxYT+DzW3Pc//V8Lya\nGw/hI+uzQ43/jIGr3LKuMot8N7RwctNBpJVXlPaKnHgKXeTJupETym0vdGk3TmEpd0waAJfAk/jU\nWqNer+PDH57vSIlFp5cwqEJvoF7HxaJNEMEzkCJSWvn01crKClZWVqbabtn8NtMwaqfkRYlsTYIx\nBo1Gwy3O/lTfj91k0NNxr3LhUaJA7XaMI0fO4bnnTuHEiXdx+XLLbZtSPzSHih4UwjCEdQM1Kc1E\nKSSuuAIArRMAkdsPFs2U1iJhZEA9cJAudMYECEMPSmmXojIu2uK7jsih2y77aUz6fpkx1Lh/44XR\npo0HKZ3lIz/pnnrrwKXOaP+CAE6EeWl0iozMAa69dgP1+nyif8vGbvcGmgWNRqOwgo9FRwTPDOAF\nmiMXQRDM3ItRJkbxMOVNycMW+aKFXhkEVP77Ua/XsbGxgc3Nzbnu0zTkn46HzU/Ki59XXnkLR4+e\nx69+9QbOnr0MYzwkCQkL+k5w92LqbkyRG66uIs8NfzUyUUBRG+pgDDe0M3BRFDIX0zZIlJBw4sgP\nH5FFFFG34ySxiCLy65AQAajHDpmW2Tvk+/TL5NPx4XnKpavovbP0l0V+YCiJ3ZrzDFF0SKl8Q0Ku\n/iJRdP31u794zft6KZppUnRl7g3U67i2t7elJN0hgmcGsNmx2WxOnL7qxbzTT+PQb5vsYRq1zLrs\nTHL+JpkBNg5lWZx6RYHefHML//M/r+HYsfM4c+YStrY6rmM0VSpxOTiVdZMQACjlBBjXzyaEUpSu\nYuFjLTX+09ogCGqg8QucWqJISafD4x4893qAK7i0Vu69ufkgp8cUoqgGMhdzxMdz6TENY/j7S1Ej\nblDI9wDank7Fi+dphCGlzKKI0mqeFyEIgCShknSK9oSp8CFBZtwiGuC3f3s+HXPLErEoG0X1BpoV\nIngyRPAMYNwvYz5yAVA33CKjOosieHqdt0Gm5Hns4zxEwSiRrWn3qwzRqzytVoyjR8/j6NGTOH78\nCt5+e8uVahuXAqpBa+O8KwmoJDtwXhsNEgvG+WU8hGEE34dr4EfpqkxMsJAxTpgALF7odwOQN4bS\nUNTjhkRHkmSNBOn0+TBGQWsginhCeRZVoqhj4IzKXIpuEEV0S1WKOjVrbdyC6DsvkOfel6JLAG2P\n/596/3DaJDMzUxqNRN3v/q74d6Zl1ibsUXsD5cUSR46m2a9+ER7pskyI4CmI7nLqK1euFH5BlW0x\n60e3h2nUxoq7uX+7DTcQ9Dyvb2SrCk/Q1lq8/PJFHDlyAa+++htcvLiNOFbQWiOKQheV4bQOCQhq\nque5CAYP5aRIDg3UpFRPFAXue+XD88jnwh2MKRrjO+MvmX15gKfvZ9ERz+NIiueEBO0PjY3wXDqC\nuhsDPoLAzwkaFizk/wlD34kS6zohcwm5ca/hiFDgIlKUojNGgZoZ8gJlYC1NVafokUorz7SmKBPA\nacMAt9/+/rl8tsLkjNIbiA3Rk1Y/9lsbZHBohgieKeF+DkqpHaXEvOgXvYgtQoSHyVemTZO6KbPQ\nm1XPpVHfuwxcvPgennnmDF5++Tc4ceIdtNvajW3gJn8UmWHhQqeLqpa4NJtSOtZ5bjwXQeEZVQEA\nhTjm1E4CFgwkFsiMTO/H15xxT9Bh2iCQoi4AeWqM8/FQ+ou+m+z78V05uee266c+obyfjNahBMZ4\n4N46tDjxf5UTYVyZxUbmKF3kKMWm3O8H7hxRSbvnkUg0RsFaqvBaX1/Fddft/uI1qKGdMBnDUmGT\n9gbq/jcRPBkieAYw6EuVT0/U6/WrSol3K1VUxDZnISaSJCmkMm0W7JaAykf9yhDZKopmM8Zzz53F\nz39+DqdOXcLbb28BoOolNvZSZRMNwDTGSwUQNexTsDZIozoU9YCLapCQqNVCZ9z1QF2Ng7QPDo1y\ngCsdD2GtglIKQcAmZC8VWZ6noRSnFDxkX0NKc2mdOOHkIQiMMx5n0+atTaCU50zNvvPuWAChS7l5\n7vtkXINDDWsT+D5Nsiffj3WiKoBSMYzxnE/Hd++h3d+NK1cPUgMzBQK5+aHF+94n1TZFUNa+QtP0\nBup3TJLSyhDBMwFsvB2WnlikaExRNwAu0wRQmCm5zBEe4OqoGxvWx/UrlfU4jTH4xS9+g8OHT+G1\n197BxYtbaYqGhAeljTyP01QmjXAEAd3AlSIPCnl16AadJAmCgF5PnYazGzebkukWFQMI3BgG60zL\nWdrHGB9huAJrFYwJ4HkGSaKcQThwwgPO28Ml7txUkYWMzh1HJq64oaDnkc8nDEl8cPNAY9gTxCkq\nDWtDZ4LmijQACFyqzUMU+UgS5cShRhwbBEEEpeKc2PHc2AraNpuvb7ppPoZlYT6M0xuI+0LxtcH3\nnO3tbVx77bXzOoRSIYJnDLrTV4MWskURPEU95eRNydyuvawVWEU3HszDfqXdGAsxS86fv4xnnz2H\nl146i7NnG2i12siGXGpnLLZpfxuqTqIoDx1ylIofisRQuihfdUTRlBBJ0kkbAVJlle+ebCmVRU+9\nHN3xdnhuaA4VnWNKH/nOX1NzP1MuJaVcBVfWIJBeS3/n+VlKGUSRB6VIhLGh2FrtDMkkuNivE0W+\n69nDwz89936eE2AacczCh5sfeu4c0XcnDAPQYNAg9f0EQYAk0QgCz/mSEmjt47d/ez4jJcoaEZmU\nRT6efr2BuBqMHzr/6q/+Cuvr69i3bx9+//d/H51OB/V6feT3OXfuHB588EG89dZb8DwPX/nKV/DI\nI49c9bpHHnkEP/zhD7G2toZvfetb+PjHPw4A+NGPfoRHH30UWmv89V//Nb7+9a9Pf/BTIoJnAHxB\nWGvR6XTQarV6pq/6/e4iCJ78die5AfQyJSul0Ol0Ct+/MpMXw0W2ItgttrZaOHz4DF544Txef/1d\nbG3FoM7CFjzmgMchcAM9z1PwvBrIj8ON9HzQIM3ERUw8WBsjCGqp14bMudQvJwwpCuN5novqRM5z\n4yGrtgpdBMa6rsQq9TGQ+CFBQ/4aTjP5TnD4LroTIAx5O55LE7Rc6okNzSbnt7FOaHDTQo7kUFk5\n9/Sh6yZIh4ByJRVFarxUSFmrUm8SQP/PFV5BQP4mEktkuKaoFzUhTBKTpjluvfWauXw/hHLDKS7f\n97G6ugprLf7xH/8RR48exQ9+8AM89dRT+Kd/+ifcfvvtuPvuu/HpT38a999//8BtRlGExx57DHfc\ncQe2t7dx55134p577sGhQ4fS1zz55JM4ceIEjh8/jqNHj+KrX/0qjhw5Aq01vva1r+HHP/4xDhw4\ngLvuugv33Xffjt+dByJ4hpCvrhnHeLsI6Sdm0n3Nm5LnNe19Eor+bJRSuHLlSir45vnkOGqTRmMM\njh27iCNHzuDVV9/ChQubCAIfnU6c64fjOfGiwBO/KTpDC3T2hElCxBiVRnOoqomiH2FIk8oB/l3t\nBnH64M7Dnkd/p2GflHLa6Wfx3H4rl+7xXMO+APxRcuqMxItOh23SHKowFWRcIk79erJ5VrRtOCGn\nXMk8p7zMjigWfYeowovKz7msnIQRnT8N6qfDJujACRqkgozOr3bnNkQY+lCKx1oAtZqPODYumhTg\nwx++YdqviIDqmrD5++x5Hg4dOoRDhw7h17/+Nf7hH/4Bt99+O37+85/jyJEj+NnPfjZU8Nxwww24\n4Qb6vm1sbODQoUO4ePHiDtHy/e9/H1/+8pcBAHfffTfee+89vPHGGzh16hRuueUW3HzzzQCABx54\nAN/73vdE8JQZ9mKsrKygVquNtZCVOf00LcP6yRR97GWN8GitUxNhEQ0EZ32cZ8++h2eeOYVf/OIC\nzp69jE6HIjM03ynbBzL/sn/FIEkA3w/cAM0AStGsJxJEVDLNjfa4GosWbPK98BgH3w+RJArZxHHr\ntgnQOAaqhqL0F1yVVZT2rSGTsXb+H47y0O+SIMrGQHB/Hs+j36X0F0WDyIsTuLSUSX0/5JMJUl+S\n1jT2IYrCdPQH+SfYX2PBYyRIsLGniEdIBAB4ICnScRFAZtbOzj31BaLzEQFQTqx5aTrwmmtW0z4/\ngtDNMNPy+vo6PvOZz+Azn/nM2Ns+ffo0jh07hrvvvnvHzy9cuICbbrop/fvBgwdx4cIFXLx48aqf\nHz16dOz3LRq5egbApuRJKVv6adg2R2GUTsllFSh5ptm/fIozDMMdvTXKxJUrLRw5cg4vvHAar7++\nicuXt1MfDi3W2UTwMKSOwORxoXQS9b3hhZ6a79Ef8ptQOoaEA/e+oSiJTZsLBkE2F4rTYfxfEhHU\nNZnSOdYZn9krw4KGokCAcekvQCkP1tLw0CgicaU1CTials7XiOd8OJ4L+XMkh8dAsCFUu/JyPh8R\nsp4/AXyfzgMJrcCl+9igTD15OALGIyb4fNH+sBeIx1iQIKLzSudDKe0EZYxsVpd2ETeLD3xgfpU2\ni+x56UXVjmcQW1tbU61j29vbuP/++/H444/37Nhc9nt9nvLdpUtGfsjfOMzqYpqXNyhvSuZ+Q7t1\nwyhTxIjHQgBUhcZRnnmR/wySROH558/hpz89jddfv4K33952XpWs3JpSQeRL4blU1KtGp+kmjlZw\n0z8y6WpEUeRSVjxgkxZ0Mqj7rmokn0aKXAM+gAQLdxlmj0oAnnXlefkGf1zBxMKCU1EGxoTpcZBw\nMk5weW771KyPBAbP4CKxxGXr+fJ1nqTOkS4uPadqK8+l3bSL/ASu67Lvmgf68H2FJDGwls6d70fO\nwMwmZOMiPnCmaToPdDyem8vlgb1NJET9nIhkbwbwO78j/h2hP7MoS0+SBF/84hfxpS99CV/4wheu\n+vcDBw7g3Llz6d/Pnz+PgwcPIkmSHT8/d+4cDh48ONE+FIkInhkxa4PxbjFJp+RFiPCMSz6Nl28g\nSFGFYpjkvJ08+Q5++tNzePnlN3DmzCW029STJopqLrLARlnj/CJsBI5Srw2VYtN/taaoBaeHOPqQ\ndQ3O/DW87SDg7VjnTWHzLo9Y4CZ9gO9H4OgFCxrfDxAE3D8HaZk2m4t9P3RVVoEz8pKYMEaljQJJ\nlHCVWDYNnSqvlKvu8tPfBeD+nSIwNJncuiiPB619ULUVbycAkDhBR9GxWi2CtQq1mufEI1VixXGc\npucoBcWNCz1w00WOjPLML07Bccl8ENjcPpD5+vd+77em+HYJy0qz2Zxolpa1Fg899BBuu+02PPro\noz1fc9999+GJJ57AAw88gCNHjmD//v24/vrrce211+L48eM4ffo0brzxRnz3u9/Fd77znWkPZWpE\n8MyIUc2jk7BbEZ5pTMllicj02944nw0b18sw8PTKlRaeeuokXnzxNzhx4k1curTtIiXGLdocPaAq\nKIAiNVz2Td4UH76f5Lq2AlxK7ftUzZQkMVi0cKk1jWSA86SwoRig6AinpLw0UsKeFBInHOlR8P0w\nrVziMm/2qdDfA2depsiKUtQJmaqn2Juj3b7btJKMxUMWfcq+NxzF4kooLn9nKH2X+WqoAsy4MvUI\nSaJcOs2mUSUSJ8ZFdbTrfQLUajX4PlyvHevGX5BgpIhagDDkMRUUGSK4QaEPbmpIXqoAnufjIx+Z\n30iJqqWAqnY8QP9j4mt1XJ599ll8+9vfxsc+9rG01Pwb3/gGzp49CwB4+OGH8fnPfx5PPvkkbrnl\nFqyvr+Ob3/wmACogeOKJJ/C5z30OWms89NBDczcsAyJ4hjLpRTHLCM8stpnf12Gm5HnsI+/Xbt6k\n8mMh+qXxZh3NUkrj6NGzeO65kzhx4grOn38H1F1YOz8ORUmU4tJxHonAk8Sz4ZVUKcT9cLTbdzId\nUx8YSqewGKRZUQpcIUV/Z+9N4MQMe3KywZiUUmKvmZ8akKm5Hpd9A1kvHJ2rCss6LlsLhCFcpCpy\nQsVz6R76fRIGvnufzPhMqbPIVW2FLjJlnYBSrjTeOLEXwph82XtW/UUDR43bj3wkBi5yFLhzyFPY\nSUzR50KG5yCgc2hMAJ7SHscsukg0UTqRhSf9jFJilDbcu7eOa6+VbrlCf4quPPvUpz410oPhE088\n0fPn9957L+69997C9qcIRPDMiEVKaeW3OcqQy93ex6JFzij7x2MhdruBoLUWx4+/g8OHX8fLL1/E\n+fObaLcVeIp2EHDKBS4VQpEMAK4RoA+lEic+glyFE5dJ16B1jDCsgXrSkDCKY52WibPJ1hgNra17\nzyxSQb4SuPLsuhNP+f2JnMeFq7aUExI0KJPKx1WaeqL991wDP4BFGTcJ9Dz+DvAcKuq8zBVTlG7S\nrgqLRRAdOzf74yaClDpjkzOXmesdKS/q3WNdxCd0aTRKebEQMYb8OvRfLp3XTkSFaZSIBShFr3h2\nFuB5dRf9SeD7FEEC4FJ9PKaCzeN1XH+9jJQokipGeHqRRTirf6yjIIJnRiyS4AHowmg0GoWakou+\nqezGTYrN2UmS7BgGO2y/puHSpW0cPnwWP/3pcZw8eQXb21SlQ/1deEYUXNqG0j4AlUbTCIXQGVwB\nSrNwpIAiD3TKaEI3D/CkiAVVOgWBSf0zlAqiBT0MQ1dCrpENtLRp40ASFRo7B2z6yAaH+kgS6rzM\nU9K5mzCVcltwSTntA1dgxTCGuizTvwWgCerc9JCjMrFLIylnxM4GhQLG+W1CAArGGIRhHdx5mZoJ\nes44rAFEzjQdOO9R4tJyOo18AexBYiHF3ZUpkqW1cqk348ruATY8E1nHaNpfOpdZU0eO3PH+cwos\nwfvfv3LVyABByLMsIm4aRPAMoYwprSK3y3NZuO14EdGMWaXditxWr3MYxzEajcZYDQQn2a8k0fjp\nT4CAnhAAACAASURBVM/gyJGzOHHiTbzxBlV9KdWB79eckTYrhbbWc71vyDBrjIdaLXDzmnwXxdEI\ngjqMUa5M3iJJKD0UxypNHQGUponjxJmV6y5KQSLG94Eo8hDHlHaiDsbk9aEF2IPvJ25R5shR4KIo\niYtucOM9z/WdCVxPG0rPBAGnoeh4aKE34A7OXILOaStKo1HjPc9LnAdJpZEfEhQhfN+AZ09xZRQ1\nC/RBw02pwR9XbXEvnSAgz1CS8CR3mqLO1VYUWTOpoZkbJXoe9wzynUAMkI3SCKA1H5NxZf8cBTPO\nD6dhDPmRKBJGHaHpD227VqPX/c7vXIM4jtFvcOSsF7qqLaZVO55+8PdFIETwzIhFqFRiU7JSCrVa\nDevr64Vtu+h+QbM8n8YYNBoNaK1n0jHaWovXXnsTzzxzBi+//BucPXsJxgBxrFzahrvvUpVRGAZO\n9FjQJcr9Z7y0tDmOeXgnl51HsDZJzzkZFSkaRAM8PSQJ4HkBksS4FBOXPgNhSO8Xhn6a4iHxwSkn\nnaazuGqLe8Sw2RZgA65GFK24qAwJN0o3hU64caSJUlQ8woKEE9wing1D1Fq7NBhFjkhgcDM/4/Y3\ncp6YzJtD5mUWQCx0wjQFR0LRurQWfbeybVtQVMxPxR57lQAeF2HAPXJ83yAIakgSLutncUj/niTW\nfVZw5edseOau1hzR8p1QY7M3Rev+z/85gLW1tfQBpXtwJIsfFkLLsJgLO+l1v93a2ir0vr7oiOBZ\nMIpY+LtNyWUd8jlLeNgjl9zX63VsbGxMtFD0+jzeeaeBn/zkBH7xi9/g5Ml3sbm57dIh3GeF+sJE\nEVIhopRyKavAzZUi3wf9oUvV90PnAaGfJYkGN+qjaIoPY2JoHaUdkynSAlfCTT+j9BSnW0K3oPuu\nLB05/wwP5ORRC+wPovfj0vHMKAx4Xi1Ng0WR74QUCR+e/M29gVjEUENANgtTmoxSXLTwkwCy7nf4\nqdU60UYjG7gTNAkwL43yUKM/noYOcBNAivhQdZbn8YwvSjWxL4r9Ojwqg46Lo2V+ul9Zyku76JDa\nca6DgCrfaHQEd2cOU3HFpmqCzk0QUKVXrbaKW255n9uf3oMjWQTNMwq0KJT9QXRSeh3X9vb2RCXp\nVUUEzxCqltLqZUput9uF9pMBytUssN+2tra2YK2daiwEfz86ncRVU53C8eOX8NZbm2AvDJmBIxet\nsKnvJQgiVzkFV8mkYG0Ia2N4Hu0PiY8VaJ2AzbycMmEhE0UBkiROUzU0CsJLBRSJIy/1/3gedYam\nqAZ3Xs4iN9b6TnCx5yZxaRbabzbrcg8eElMsXkikkQk4ctVPxjX44yGd1hmq4XxG9XQGVja4k/0s\n3GCQj5nSblRplqQGZJrZFebMvwF8X4F7Bvk+zamiCeS+S6GF4K8UzwyjyA97aCzCkI3WNShFKbsg\n0C6t5uc+U+vSiVH6ufFoC/5cMpGmoDWP4LC55ocU4eJqG5r6HuK669YGPpSwuOHvcNFRoKoKhCoK\nwO5jajQaEzcdrCIieGYEL6qzGAMxSX+fQZ2SFyH9VhQc1dFaY3V1deyS+/x2XnnlTTz99Ov4+c9P\n4913Y7cAB8jKqwFOCWWLt58aaFnE0M+0Ezl+Kgho4rgP34/d9yhLvVCEhRv0aWRiiEZCkCk5cP6f\nGL5fdwZYIIp8N74gq8qiNItOF/Q4pnRTpxMjmxGV7Rf9Tt1FMvh3SSDQwM1s7hXtNx8/dyHmnjuR\nE4D5zs/csyaLUBE8nZyHjsJFTKgHDpXDU7SLoh7kbyJzcJRWtvHIB9o35QzSbAYPoFQC6mXEZnAe\nk8FdqalazvcN4tg48ahTQUPDRwO3bc8JRx62SvtIBnHttpeV93NPoSzNGeADHxgvJTGrKFAVBUKV\n6LXWSIRnJyJ4ZkRZRktYa9MS61E7JRdBGSM8HN0C6Kl4dXV1rN9/660tHD58Gj/72WmcPLnpmjJy\nJ18/9bNwhQ5FRHhulUlTQiRak9R7QtEJ8nCwoZWHStbr2SBMiiyQaEqSxC3i3EAwq9TiEu5sJMRK\nuj3PC11lV+YTorEM3IcmqzACDKLIB1dvkRGXB29yVROXT3NUgtJfYQhn2uXJ5Fn0hsQAm4DZZ8Qj\nF+hYScT4zjiNNNJEJl82Avu5snkWKnBREh4CSpGcOKZUHc284gGgVB0VRVRhxc0SqYFjkHqZ2Czu\neTVQqT3cvnLFWhYdVSpBENTS88kNDfMjK6gyi/oEZY0Ts9lkLEwBIAg0brxx8jlIzKyjQItEFQ3L\n/e6NW1tbEuHJIYJnCNNcGEUbd8dl1E7Js+7tM2/yDQRXV1cRBAGazebQ32u1Onj22TN4/vlzeO21\nd3DpUgNaq3TxoEhF6BZfnptERmNKnYTus+cogQZXJXGUh0QMpT+ocipyvhw/TRMBSNMebCamWVLG\n9a7JD/K0aUSHBAIbmnluFKdRuElhkKaE2MPDUSeuwKJ+NGwCTqAUpXz4e037y34VrjiybjvZzZiq\nwkK3j9ypOcl5hkhAaW1dRIUrmchvRD1sAidOPBdxYSN11scmH5VhuPEh/S7SbsYUBbKgzs2BM0hT\ndIauXe6ynJ07NldTB2ia4s6l8CQSDHiQKQlF7sPDhm3rpsZTywMey8HRO/rMAvBzya23XjfuV34o\n40aB+N/FC1RuepmWRfBkiOCZIfMSEuN2Si6TOOnHpPvI0a0gCNLoFqVXrt6WtRYvv3wBR46cxy9/\neRHnz78HpTjN4rtFky4ZEgvU/VdrjVqt7gyrlFLhsmIefElRB07vKJfe0WlkBKCIDUUtqLdOHLMH\nh/04QdoXh1M3YVhzRtzMtxOGtVy0h9NNnvPn8CgH8vbwAEtKjXHKBy56A1DTQB7tQCbnWi1w/XVC\nF83JKr7CMModXwiqluJz4jmhoJ2hOotY0bZ5CKhGFNVgDHdbpugXNwGkiBJNLo+iIBWhtHjz0E9O\nh9VdFCx0ApEEhrVwx82CjMQHR3RIZIUuJUY+ojhO0gorMmTzuAvkPgPf/X/kUpJw+6CQTVE34DYA\n5BuqwZgkFTmULvOdAPFw2227M1KiXxSIKuuAVqtViShQFSM8/ZhmcGgVEcEzQ+YheCbtlFy1CI+1\nFs1mE3EcY3193aWJrr7J/eY3V/CTn5zEL35xAadOXUKjkYC76WbRFD9Ns/AkcPaVKAWEYS0VUex9\nzuZC0f/nGwRS5MR3Cwmlqih9FILLyeljoygBRSqCnEE2dP4fzx0rXJqI39s6cUNpFzbQUuQEoH45\n1B+HOwHTIk0Tzilakr0fiSuO/ITImup57g9XLWXpGxqlwD1sPGQdiAEqs2chkqXMOKJDkRFuEOjD\nmMQdF9y5C8GNEYH8vCuNrJxdufQXR5q89DyS0PTAIzbC0LvKsJxFpwx43hUt8gG4N1GSkBmcxRun\n2yhSVQM1Rgzh+8pF4vxcJRrSSjWeKJ9F4AKw0Xz//jX81m/Np6yYo0AsuNfX16UirKT0E3Hb29u4\n7rriI4SLigieIRSR0iqSftvML/DjdkpehJvTOOeSS817jYVotWI8/fRJHD58Ar/5TQtvv33FVSjx\nQmPTqAN7QmhcAfXMof+HS49QR2RKg6y4xnyZ6ZR8N8GOFAW9Tw3WJk5IeK5Si8WQRa3GfhyeLE4G\nYaXIw8LdkoMgRBx3XBUYL9KBS6tZF43i3i7WRagC102Zq7eyaiNucsgpLe4JBNg0MkILNkVBMhFj\n0mPMhoFyg0BK1VGai300NSf2bLrvdG651J3Lwn0XQfEQRXwe4Y6VRYV10TXrulJHTmRxpRWX+gOA\nQa1G86y05q7RcIILOeOzBY+roCq4rPggCDhix2Iwm81F4lI7L1DixFKY8+1kCxP9G0+iz4tFjTCs\nOeHr4brryjVSYpAXSCmFOI7T1+UjQWW6x5Q9mj0JgwTPBz/4wTnsUTkRwTMC0wiXWY2ByP9/kiRo\nNpuIomgiU3JVPDzGmLSRIkd1rLU4duwCnn76dbz22rs4d+4yjAGSJEat5sPayC20NhUztIgn6SJP\n0QaKcnC1FEUiqONxp9NJo0GUCrGuqSANy+SxCtQxGAhD8vrwYEw22HIkJkkoYmGMclENLu+2qVcm\nCCKXQvPAYw14hpUxBvU6RWqsZbGQuPOh3aJl3SLvuz5A1kUnuM8O+zW4ZxDNl0oSLz0nNLxUpR4W\nFgE8v4r2LSvLJp9R5Do/Z5PCs9Jz5aI8JhUanU6CMKwhjhVqtdCl2qhHD/W/yXr30O9ys0SKovAw\nVIqihak/KJt3FTpTtefOCUeoyP/Dc7K05iGoNvU1scjhoaxZ76Qs6pafqJ5Nis8aLZJpmMvVrav4\nUk5E13DjjfNPRwxKAfXzAmlN7Qg6nU4aBepOg81TBJVJgM2S7e1t7N07vem9KojgmSGzHrHApmSt\ndbrAT7rNsgueQdvLNxCs1WrY3gZ++MNX8OKLZ3D+/BYajRZoFEIWdSBhsAogQZJkVTlUNsy9cShC\nwn4LalXEk8Zpn7ROnNdEpxEUGvgYucgBz3jilIjnIgORS2tY9zsaeYMwV+/wosgjELKFODORZo39\nskgEGYm5wZ5KhRZ5buppJIFKpymdRL4cEidUeRa5yIl2BluFrJ8Om6bZDMxCKkBWOk6Ch6MzYchR\nDopysfeGxB5Fm6hKjLxAVOXEozbI/5OVbVsXvYlc+sqkkRESD2zOJhGjdf78ZDPFaH8ATuGR+Vyn\nP+NKtCBgP1YA7rnD4iyK6uBJ7pQmI+8NCVzjUnAKbDrnSBx9llQtRub0MPUt8bZ/7/euLewa2i3y\nRmdgMaNAi0Y/UdpoNKQsPYcInhkyKyHBPXXYlDxph+AqYIzBm2++i6NHz+PYsYs4dWob7767nS5k\n2SwoSkXUan5q0g1DnjoeusZ3dDlwqoeiOAY8/JFuytw0kLwsPLaAxEnkokEsTGnhJoEAN95Bgwd7\nUgqN5lrR9il6U6vVc9VCAPduSRIWCJRuIjFl3WJK6a8sJcXDQE26wLM4odJp2j82oXoeR12y8Qfc\nSNBa9gyxt8hz0R0gisiXQ75WNlz7buHmSBZHYiInCmvgwZsAnADkii+eRq6c0GDzMfmEPA8u0mSc\nWZqHj5Ko4LJ5gj+30J0nMnuTuOKUGQ9Y1WnkJ5/ao4WE9zFIF2/ax6xppNYkngDl9pHGf3he5FJe\nPtjrxINa6bvmg6u7ALgoUZj6xD7ykcX3X3RHgbg/2byiQGJaXl5E8IzApMJlFoKHOyInSTKWKXkQ\nixbh0VrjxRcv4JlnTuJ///cC3nqrDYAreniYJnkwWMRQk74QSUILNz3hZ2KABAlcesEDD7Pk3jm0\nHRpBQCZmgLvkxnECz1txT+m0kPLCT1PAeRHjDsSc/mJBELn/5/EHZEjmaAmnoDi11Omwt4hnT4Xg\nIZfco4ZSN9xgT4OmhNfTSBOAVKiRILFptVUQZJ2RjfHcfnPZPQ8aNU5AROl54KhUEASpOONUFldi\ncVSDzn0E8gFROpHL6an6KnI/owqhKMrKtanyy3fRMu3EYHZuqaqOPtcs6sYN/6xrGVBD1mmauxuH\n7j08ZD4brsSz7neVq0RjPxGn9yjSQ9VkfHwstPh1ZJDOJtln1y6JKT4GqvxbXd3AzTdfU9g1VBZY\nyEgUqDj6ibitrS1JaeUQwTNDilz086ZkANjY2BjbqzPKexR5QylS8Jw58y6OHr2I//3fN3Hy5CVs\nb7dBrffrIJ8Ep0N44QI4EkPmY14AueTX5iZpwy2KJGL43+nySNL0DGnNEMYkCAJ6iueUBQkhCypB\n7oA9JPluyFyBReeFy6gVuMkf+03IBxS4snTeNxJxJCQsarWVNKJB+0VCKzMn+87rkhmXacI4iTKK\nDrGRGtA6Mx8jnbPFBmHyIXGFGAs1XqQpYkFRNBJf2lVm8afnuyosTidqULk2iQOKgpFJm6JuJMCS\nhP0/Xpryof3g6BjtA33u3AWZK7L4u+elqUoWPixi2P9EPXHCNF3GYidrKcBRMP5340QkpfKous53\nJvbAnTe46BRXOvFMtMilC0nskDil4a3kJaJ9C8M6rrlm8EiJ3WI3IiK7GQWqYoRnkGlZIjwZInhm\nSFGCp7vq6L333iv0gp2V12iaY9/aauGpp07hxRcv4rXX3sbly9tg3wWnpqytuafvrPqIm9lRVKSW\nWxxJzIQhRRWUIr9JksQIgjp4/hOVU7OfBOnTOVdpUaQkgLUBOp0EbM5lkyqXi3PvGKV80CwqpFEe\nuklbcO8dPib6mYLnrSAItHsfuKgUlcPXauEOTwiJCJ4ZpcDjJFg0UcM+30WlssGlfBx8frhxH/W/\niV0lF/l+yHDLRmbrFvwgNWhTJRVVkJHx2zhhwwu/D27kx54minxQR2FrqdqN+9pwBIyaNHKnaZoc\nziMjSBgloH43PGfLpJ2UqWIrcBV39PlkVXcRuHs1vZ+PMKTp9dlA1iAVdDSclLplc5qRGg6aNG2X\njySxOCXBqUDDRLX77vHxeW6YaOhED0elbCqiP/CB5V2oJApUDM1mUzw8OUTwjMCkF9Ckc6+Yfqbk\nWXRwLnqb4x67MQbPP38WP/vZefzqV2/i/PnLoMhADN+vQSmuduEoRpD6SdgnE4Y0STxJ6Of05M6L\nFQ3IZA8Op4nIuMtdboP0KdLztIswUCk6eTRoG/SeNo1stNtxGg3hXi4kPrgHTdZxmUcoZJVfKo0g\nsBjKSt/p+KnDMFwkgSMRHtjsS76UrPkgRWIo7Ub7HbrzSBEd+i89SVN1UgClYtDQ0BZ4DAJFwXwA\nsTuOCGwgpnUoge/XXBSIIz8UoaJya+OiYAr5HjzkLeI0IZehw4ku7pzMpeE8bZy8PLRvxh0vzfIi\nYe2lwoir3VgUWRulKSua0aWd6KKGj2RONghDMponCUe9+LtAPiGKkmUmbt9XqYBmozYfK5W0J6jV\n6iC/Ei/i3BKAo3DcddpznjA2OSe46ablFTy9KCoKtExl6QAKzwQsMiJ4ZsikUQ5rLTqdDlqtVk9T\n8iJ4bkbh5Mm38fTTp/HLX76Bkycvuyds6rFCT9iUIqHOvTHCcMXd7GhhiWNOJ+hUXLDfJOsVY91C\n6ju/igdjAijVgudFrioHaXdiiipYlxohgy89hXPjQR4dkHlvgiBwiyunObinj8k10PNclIciEFHE\nT/O+S6vQME9Ku1F0J0liWJugXl914oaiLElCqRbaRzJXG2NRr0dO7GSjEziVxX6R7Bio9wt3DqaF\ngSeLR1CqAy5JJ/O3D8+L04WEUoMhuCdOGNadUZmNz8r124nB/Ws4BQXALVyeS++E4LJ8EqodcENC\nFnLsSaKJ59YJEm4A6bttR+6Yjfts4IQJRQHJaE1CkIQZfzaUtiPRROeHqru4Eo9L9j2XKg2dkMrM\nxhQ14oifdX1+6LvAkUffZ1+YD2s78Dwqo6cePTZXqWVhrY8Pf7gchuWypoAmjQJl3c2rTRWF3bSI\n4Jkhk4iIUTolL4Lg6bW9zc02nn76dRw7dhGvv/4O3n13E2x6pYnV3MCuhjiOwd2Iw9CmpdS0QCE1\nx/JTOKWnEhfloDJkjqbQ/4ewNoYxNXAnYYAqaWgxUumCTKXUETgNRlVInLKgGz+NQEjcAk4mVG5W\nx31lKCpFwosqiQIX2SB/EKdG6HdJnHU6xi3IFDWKohVkHiUy5EYRNS7k/jNJQtEQEoyclkvS36Go\nAQ8upegVD+7k3+E+NBQts+7vkevvE0Lr2M2FCt3gUo4WWSdKNdi8TOkk7m/DzRV51EXW34a/Hlxi\nT76nxJ1HFhocYeG0FkdnKLVG0SuO/GQl5lklGoup/JDTwAmx7H3o+5GkPhpKRVGfIPqc4CrsSKha\n66fz01jkkWjKqvLY60QGaZMutDQ41kcU+e54a+7zDpxYIm/abbe9r7DrcVkYNQrE96d8NGiRGSTi\nyihW54UInhHYjS/MOJ2S5z22YRSoHb3G0aNncPjwSRw/fhnnz192goEiLlz5RD1WjHsyp34vmXfD\nA1B3lVIkHvjJnidok18icSkCXjw9Vz3Dgxu5MR2JqlrNd5EQWqyThCM22kUVeNQANZcLAi+NSLCx\nFSDhY4yG1hTl4deSSKE5UCwaSJDx2AWuluKuyJGLGFBZPL1flPMlGWeK5enc3LEXqQdFKaTCj/rm\nkO+ETbpsgOaGglnnY540HqZenlqt5ozFvou2hDkfEN02Oh3+HFic1VzkgwRf5pPhrtL5MRcJuJwc\noKgHm4Y5akUeI5Om6LhBIEVxbCqa2CCtFAtQuPfznbfIyw3/zPrfUMqQPEyU8uOS9ATW8nnWTmxn\n6VGq8grcd8Zz3qIE1gYu1clpxsSdewNOx5HwQe78ZM0Xo8hPReL+/TXs3TufkRJVolcUqNVqpV4f\npRQ6nU76mkX1ApV9PSgLInhmyKjCZNAohN2iKBF18uQlPPXU63jxxbM4c+Zy2hclMxsDceyBW/Jz\nczyAZh9ZGztBE6FeD51/xaLT4QGOOh13QMbb0D1N84gE6vdCzejYSKxA1UraiZwInQ6FusOQqru4\nOkYpukFyxIbFE6Ws2KNDVUy+X0tTUex54UorEgCc7uAZS0hfxx4aKhMPkSQdt7Czedd3AsUgK7/O\nIlo8ioIjHrQwhzmRyKbgEDyFm1/HaR2AhA1HZOhJmERnp6PAfqIkIXFCRl3uLUSiijwx3PxRp9EN\nWvT5s0V6/igtpNznGro0Dok3KtkOnHcqS1HS+wE8H8xa5VJGgO9T5ROfe/4dniDPTSOpuo3TSga1\nWuQ+YxppkSRZTyD+TpIwihAE2h0PRQepySNF/8gkzhHDrJs0fd+tEzEk/MhfxsI6QZZCA3g6PYkh\ni/e/f3Xqa1HoDYsb9kTmo0CcCst7gVgAlT0K1C3QuB2EkCGCZ4YMExGTdkouU0rrvfdaeOaZU/jZ\nz07j9OktXL685aIeCkoZ1Ot114ANbhK4BQ9MBOAqoQyMCaF1B8b4iCKKTpBHhcc+cIdf3zXw64D6\nyij39A7wVHBa1KxL/ajU4Ezel9D1zaFUStZQj9NpIbjrcTYqIUSno1wkwcu9juZBcWSHy5Ep/VVD\nknApuoXvK3BPIEoDkUfH9yPn1aE0hlKJqyADKCoVuoXXd+eAzMVs8CWfSAxr2VDMKR+APDpsEI7S\nKeVcuk5PvwrcFJDFDA/XpHQRV7zZHSZwFkDcpNDzVG4xV2k0g4QY+Z+42zJ5cerQOnYRHUpVJYmF\n5yXgzs8cbaPRH9pFupSL7JD4ogoqDeoCXcul0Qy4IzT7sXh7HGHLomw8qiPrVM3Va9nUeY7E5Lsk\n03FztRxF48I0Csj+KOrGHDmxxF6fTFRROpfeh9NkN9ywf/yLeEaU1cMzKd3Hk48C5UUQp8GSJMkV\nFGRm6DJFgXp9RltbW1Kh1YUInhGYpkqr36DPQabkSbe7Gyil8fzz5/D00ydx4sS7eOutLWQN4cj8\nSYsIlWYHAc8rMq7cl6IMxtDN3RjjFiCFIKD+MuSvyNJTtPDQQhhFvntyqQPgaqEsIgPwvCOulDGp\naAiCCNQI0Hdm0qxBHS3wNO8oExp2R4oN8FP/CnXPpQonSrf54Oouihbx73hpJIunlPO0bxqsGSMI\nLKJoDUrFIOHEIi9yaRqeSp6ViAOUGkqSjvuZTY3ESRK7iBdHtWqg1BZF2+JYgweGUhVXlEayePQD\nVV9xh2D20wRp9CqLOtlUvEYRRT6UCnOCtuZSelyqTmMuPC8GoBFF0Y5UFH/eJBq8NM1IactMVBpD\n6T2u0OJRFUyW8uTZXjxyInBC1ziBZNzP2evEfYR4vplNBQmJdvaaZdPUecp7lqIlUaWURhQhPW7+\nTnO5PX9vyKidTXz3fQ8f+tBvFXrdCuNB371seVzEKND29rYIni5E8MyQXsJkFFPyJNudlkHi7LXX\n3sGzz57B//t/53D+/CY6HeX8ED6yTrfKPemzRyd0T+vG3ei55b913pAQrVYMNnfWaiE8bwVZaTf3\nOcmmetPiw/urXfqHq6I8F0EiLwqZZMm0SlUvXFbOBtUmPK/mfofehxdZKoMnkRIEWY8U39duP+Eq\neHjOVb5EPHALLEDVZDwpXLmeMJG7WdLTfRT5YH+L59GgT1rYPfD4Ce7tkiQ8NoKb6CFNlbDBl1M3\nVMWVlVWzEZvmVNEiy9Vg+dlgJC5C+D53KWaxxFEe8vBQx2HuvsyVVuzDoigPVb4lbp95dhalJilq\nQ9thMUF/OC1Jopl9T3ROtRMk5FWiyBGVnWcNIKm8XSnfRd7oc6DPnc8VN3HkNgGB+65Syiu/H9yY\nkifaU7UYz+CikR7s0YmiwKUPI/h+7K6n0EWi2GRtXMrLgkeAcIqNP0/PC3DrrWJYnhWTRKzKHgXq\ndUzSdPBqRPDMkLyIGMeUPAqzFDyXLjXwzDNn8cILJ/H661ewudlyN2PrbtxcZcOLDD0hU9pIISsl\nZ3HB1UoAD06kVAk3pvv/2fu2GL3O8tznW8d/ZhynEOIkNk5IQjg5IQrQTaCJKGygW5Fg73RftKgS\ngvRAtyiid416U3HDfaWqN2zSSr2ouAH1gqraQqjsphCcw3bORxw7sZP4EMfJeGb+dfz2xfM+37fG\nnrFnPAePJ/8nVSXjmX/WWv+a/3vW8z4HumiYriv2gYAly9R2naHrFuBciSRhJxWBBkdS/BmVO0o8\nnBtrIjcORzYcG9F5IyErc1DkpKqDjoPgLLeNNQkbqtiTCE7IgKgJnOOn6L6i1oNiaHVUEXToOvb2\n1M8Qvji+SSDHldgM76WHkfZDuTsS0SrPJbHrrmb0zjZnjVBiN9YwhJAALzEGhGM7jnRqY36acN80\njd4buqso0vVhlMdNgowXbfex+oGiXmeW9s7uHQq1xbzEfKjUdDoqV9V/R1s52aUoTieDpxFeh5jA\nTZG33fmmYYot7dFt10OZOmL6NOLkKDWza+ZtLMf7Jc97G/mxGV3nrVEfz03jLQnLsxAZUJYZx0kK\n1wAAIABJREFUbrppa1jSge030lqvtdVZoNnZ2QngOWtNAM8K1lr/2DW+Wi9R8np/+NR1jf/8z8N4\n5JGj+M1vTuHkyfnwx7t4lKKNd9ivFJ0+GgURxPDDnx/i6haCbTgV1IRNDQ9HMtRrZPbkzY1Grd3c\n9JVhotwYZpxQ09Pa07g3obRSkeXGiS4ksgz5QGBK8EQmgECLLhqKncmESFTKJ32en7fjZJUEx2Wx\neVwuLHVSUazboCimA0hMEo+6jvbqCNh4zVXmSeBHbQ1HdcrLqQMjFsFMDwmOyV7JopuAwYk1vM8M\naPbhfYQ1d6t3q67lfBMblBm4cKZJ6WxsCTDuROO7KDiWBkfaIrqdHKKoOUFd83iHLIfYIyYSt6hr\n2de9MSkNVBMCKN+IYmdZuwkqEXQ9FFhrbKVxJkXDBLcUO0tIHNlXgkaFXEYgKrZHLI5+pjegPByT\n1fb/vb1eamnWHnGMRjbufe8rJwDjMlyXkgVaCpTOzc1NAM9ZawJ4NnCJMVlYWFiVKPlCa60jLe89\nnnnmDTz00Kt48skjOHz4DOp6jK7rUBQj1LUi7/n0ObTOinlg91JnzIwLVl0FB2ZZjrqukGXOGIAa\nbetQ1zXyPDP9jj789SSeQOFyzNJRP1Jt/5YMPjCYIlyW0TLMMYmSg9sw9oluBW9aoSk0zfzAmeTD\npq+n9Zj0iwCgFJKnkk+OgxrTc4j94nWJVunWmJ8aZZmbvicm72ozVoZN27aWdwM416DrnI2gBKbI\n8Kj2gLZ3VRvkxqz1dq/5wHYRDAlo8D4kI5EgTTsDf6Vt9oWNzfiecFzGYx5u0GIpyMrlyLLeBMIU\nhquMVCWjQxu8nFpkyRIDNnRsEVTqeDi+y7I0iKbpChPz0wSGjmAngxrQKdhWJIBKX52NRtX15YMG\nRz1YBCIai/rBfS0WsYdyhpTtozEbAT5AVicGVerJvuvoRhQYk52eIzveo9ddd+VF/21P1oXXZjJW\nm8ECLbcXTDQ8564J4NmANRQlAyz6HN70a10XU1lx4sQ7+I//OIyHHz6CQ4dOYXa2Dm6RqL0gq5Ln\nOZKkN3FrZuOIYctzHAmQVentQ7y3zZEJu03Dp/umGdtIxWE0yiBBbAwbVEEmNxhuLIDEttoQydIw\nQVdjHFqmG8tKkTC5Q1Up6l85PWQwuIk2YezEkVQJ56ixAQTKSgMB8QOLH0oagxVhtGWZejYOkVZH\nLAJBY1lK4EwWQboaiWgVopckGg15AwQO43GLokghXQ9AC310izUGKHpjgDIoH0isl0TBZLe8jWJy\n2/wTA1uVXSNt5pndb33IK2JtRGfvpxgbsV8t0rQ0IBarJhjGJ2ZNCdAugAVm8DRQEzqzdzJj2xSG\nqCqG2JpO8TP/FhjACAD1gJFEGLnaX46NvJJwrxGA9gHU9n1jdRFtcF1xfOhtJChGxxuTyXGeermk\nuSKgi+WmUYvFUSoF1jkksOd5MWbhhhu2jkNrstZ3bSQLtJRLa8LwLF4TwLOCtZqngbNFybOzs+v+\nNLEShmc81pjqCF588QROnpwHNTIsrBy6mvi0nKKqWpSlcm282cO7AcNRB4aDPxuD6hRkx6flJmgs\nqmoM71PkuTqoVMjobJwV6xH4BOyDcJaATGMsbgzU2tTwvjCBqAPt6TqmzrJ6JLaVK4ebT9PE0VrT\nNMjzEkkiizLFr+rX4rVJLCsmjogoQpb9PDNmIrfN19nP1CYQzk0nMwJFt7F5vO+T8HTHvifqe6am\nlMDLAtI8V3GmepqkfYllpHIMFUWOuqbWKf67KiJ8ACex26oBUNi5CADFagwxLBKflyUDB6mFIntF\ngTPBjtxQCvhj2WaHYdUCK0OUQUPBNqCYADGFqgYhSCHgycJ7GkW/qYGPLFxbZS4xDkGCZ43g+Loa\nYUqozoTomFHkHGxD6oxRc6ZXSmzkF19T1SFiPHWvquC1bVVEq/eCDwUUgXdQqSxBWr/lHFrbrYph\nq2mS1soCLXc+Z86cwTXXXLNp53E5rAngWeG6EMjw3mNhYQFVVS0SJW+Uhfzs1/Te48knX8NDD72C\np59+HYcPv4O+762igW3gHBelpheAfcjXSFMyMtTh6ElVm2VvQXgtYss1fyfj+xP7bzExAkDONpoC\nRZEGFxGrHMgKqZyT+SdKn9WIQ+JUOXlg4xFqesgoeAMcTXjqVk2AWsu5sSptuIf0PxQO58a4cDPm\nWAmQuypNC6QpwwgBb8cuIOYg4TbdPxzPAAW6rjKQWBiIA9K0DWMPfUBR88McFtmWOUphkJ26pBSY\n13VFYEAI3mTDduh75hJx9MJxFMc5YkAkFo8aJVrHS+izklUeTEWW7giAMRiyr0vg29nPwJgWvnaW\niQHpEW37Q1s+R5OyxotFI8BSojKDKGMpagIFOkY3WIss4/mSrSMz530Rvk9Amde/R0x8pp4r6qjU\nkC7XlATqZKjUs6a8p1iuqntdgvQUMUHZWeWFnGNRMxTdbywhJfsFqNrk1luvW9uHw2Rd1ut8LBBT\n4RezQNpjzgY+Z86cwc0333ypTmNLrgngWYd1vqTkjbKQA8Abb5zGv//7IRw48BpefvktzM3VxrgI\nSLCLKU07Gy+lps+RhoNMiA5PTh/eFq0de4aqouWWIX5kftq2N32OeonUu8SNiW4joCwzKNCOm5sS\nZ5n1IqYpjsukWWltxBDFyFXVI8tGBorkjGnt+3U+eQj06/verNlKw9UIQ5ofgGxEYjbrxEZCTdDa\nSNhMh1dmX6PomaMvaZE62wQZUz89Xdr1kEuI4E2sldxWEmcDGv91xvZ0BgJSGyEpT6i1zVI5P0oR\nzu09QxhJ8TXFSGQY2tzJWCgQkYBC+TPK2FEzu0YucpfpuhWF7OAEB23bo+8V8Bd7tRRLID2MwgzJ\ntNHBFqsmpFcSKyIGTHlNAlqlCZe9jR9rpCnZOt7Pfeg/i0GUU6CoXfk3Ndo2QdeNDQjJ4eagfKHo\nOOwx7G6LFnIKk6W1kjhbDwh5jsAA8r7lfaBwwiyDAVKyO1deWWBmZrR+HxaTtWhdrhUMYoHEBImJ\n5Wccgffc3BzSNMU//MM/4Prrr8fs7Cx27ty56t9133334ac//Sl27dqFJ5988px/f+utt3Dffffh\n4MGDGI1GeOCBB7Bv3z4AwAc+8IEQt5LnOfbv37+Gs17/NQE8a1h932Nubg7nS0peT8AzHjf4j/84\niIcffgXPPnsMp0+PwwZCep16FY4/ZEtuIPeT9x5FUYYnV+eK0Iek3iHnCuR5tOfSspuYJgHg+KOD\n8lSkp7ArYhtTi6IoUVUtmqZBUYxsDCXLr4Si2iydFTMigAwxP/xe/n5qi+RQkjBWtm6NEfrALkVb\nMcseJdpVuzbb05Xrws2WziQyXgQjGaLFm5lAEuDy6Sq6daglSlEUmQEGb0/uHeQ0E0tCFoniXI36\ndC2VYJwkKaoqMm8UTScGYGPJZWzb9pDIW23jkc3gmCbLyK7o3mxbZiCxrmE4PiwgBx7vdWUM6d7K\n7J6IWT1ktDoDmZmB6yKwVxEIABLwKnmZWpcEqqqQW0w6Lt7DCmosjIGj00x2ejXSK8yQ10DXJbWN\nQQ3ntIjr94vVk36M5+yQJIo9iPeBc2o2TwOoIuDTcciWL41SCjW2c3zVB0aH96N0RB2uu27r6Xe2\n2ghoPdblfj5id4YMz9TUFLquw+nTp/Gv//qvePTRR/GjH/0In//85/GZz3wGn/nMZ3DrrbdeUE/6\nzW9+E9/5znfw9a9/fcl///73v49PfOIT+MlPfoLnn38e3/72t/Gzn/0sHNe///u/473vfe+6n/N6\nrAngWeE6O1NHouSyLM+blLwWwOO9xxNPvI6HHnoVTz31Oo4cOYW2Beqa45o8d6Eokr8+NQDkIaEu\nhbgxkE4iWuoyONrSKIPiUm8W4DRoFQhsvD1Bs+kZQAAHfKKvbfTCSH2Cjs4YGdq2NV7pOrqwIkvT\n2eYkW3NhbpZoFafQdwznckTrewK5h7zPUNdK5yUrQuDRh01HQIrUcEy7BVKoXJKgVfZuWJaLQEBj\nQGyobeHGmSQEIKqhiOOPaEfm3B3GCEl/lMF7Wq9dSPaVGLoJG6NC8uisivUGFHw7e0/VBI9w7Koy\n6PtskBujhGoJlzVC81Df1TBEMIrSvbE8CpqMQmoWdOpaK7smh4o+eQ/2YG9ZBHca0alkNSZxJ4gj\nUh+AK1vsJdj3Bjj4/tCZp5JQb0xXGwAJx51F0O046+LiNWBStEak1FfxOACg62pIN8Fx8HAU1Zk7\nLR1cv3hvxEwmsnD8b/0tIHwty3Ls2TN9UZ8Vk7WydbkyPBdaGoNlWYa//uu/BgD8+Z//Of7gD/4A\nb7zxBn71q1/hb//2b3HzzTfjpz/96Xlf6+6778ahQ4eW/fdnn30W999/PwDgwx/+MA4dOoQTJ07g\n6quZHbWVr/EE8KxyrTYpebWA58iRt/B//+/LePzxN/Dyy29ifr42MCO2QqMePbnHoDxuHurx4bHm\n+ZQ9DQ8dUXmgQSUY1thG+g7pLkSd8sO6NpcLn7rzvATQoK47lGURkn1p3fWQ3ZoCZQflyHDE4IyN\nkB5GYXmqQ4hBckzSlZBZycvR3izXF0AQpN4rAqAUal7n++GRJAo3bAEUAAhCWDcQHVPcYBVASFty\ntKQ7NE0N5sckiKxVY2MxjUd4bLLbc+zmbCNt4FyJvq8NdHrbCFPbiKW58kZnw5iFyBJwoxdg7CGr\nukS+BBzcqDlagQl3o0iZ70V0P3H8FsMIOeoq4ZxGoE14zRhhEHVCgBxrvKc5rukMdDoTjkuvI9Ds\n7d6jBZ7MmdgTZ/euHipierdGpBQoK1W7t3tD4YoC7Br7JQZUnAG41o51yLJFsbrGkWRxGktx9oga\nHF1zZw8UiivoUZZp+LvSKJB5SK09SDgbTfAcb775qhV/VkzWxa3Lnd05ey3HwC0sLOCTn/wk9uzZ\ngz/7sz8DQKPGWtftt9+OH//4x7jrrruwf/9+HD58GEeOHMHVV18N5xy++MUvIk1TfOtb38Kf/umf\nrvn3reeaAJ4VLiUlny1KvtC6EOCZn6/x4IMv45FHXsNLLx3HiRNnAt1Pca5+XoyLkns7pOkUWOPA\ncYA+oMmOpOEp1DkJggE1XSv5mJu8RlY9iqIw8WliGx71OdK4UCzb2HiCfUijUQkJZTmS4qZR1y1G\nI1Gu0n+k9tSt0YsSav3gNZPA0iSJXE7MR1GgHEc0/He6YzRm4eaTJL3VP0ifQxARxddkvxhiF0Pj\nNKJRmzU35qiLoaDbYzxujNFx4TVjIKC0NjmShE/5ZHGYBcPr04exETdlimn5xE8Hl7QnHDvlYXRD\nRiA1RqwxRqyDogVoUxfIRPgawYjybKQ34WhTLjllA3mfGpAC2FNFwXGWccNWB5mawxkemIdryfGS\ncmic/Q25AFZVfUG3F51b6uriz7BbTdUg/FvykAMqdn4lUFKyrOTUcfUGnJR5pM40jzx3YSSl/Cf1\ntTmrBFEekdKgea0dZACI46k2gG6NyQigUnsYgYGrJIwF+Z7DAKBGpzz/ffu2nmB5Kz+xT9byaylb\n+npkwd1///347ne/izvuuAO33XYb7rjjjvDg/+CDD2L37t04ceIEvvSlL+EjH/kI7r777jX/zvVa\nE8CzwjU3N4e+7y8qKXn4gdH3PZ544nU8+OAhPPvsMRw58jaUSMwxiA+AgNQ8O4lUsOh9b4m8meWm\nJGFz4WiDG0uWZab/UApsLDmMVnC+TtyoE9R1GzZ+5xpjaaShSK3bKAbLZZk2Q9UzqFfJQ03Y6kNi\ndL9HnsteDHuCJ1ulXCCCA2l6ND7i+XKcoOLK1I6DfUgKtmNWjg9sBK+LEo1z26TiWI9ZL0OQyRGc\nNimyMao6ALzvUJalbZwUnPIci8AMqbZBYzmJjDWGInMgJ5lGaxo1dTZ6IdhSlQHBi4pOlXZNUNU0\namDvwmvyd2Z2T3n7mqzRAtKFjTM1cvNQc7q0NWL7VACr3BwAxvx1QV9FMToZRI6peiRJC+eKMIrK\n8zTYsdXJ5pwqJ8QMuXBvei83WB/AHe8jlXLqnnAB0Os1Caw6pCn1Uvz53n4mPh2TqVJhKEXI/Bk3\nYB1j1hTrMMjm5XkJ6Z2oKRIzpOtGVlMhm8PCUYnn67rH1NQIu3dvzdyU7cKKbEc90vkYnpmZmXX/\nfVdccQUeeOCB8N833ngjbrrpJgDA7t27AQBXX3017r33Xuzfv38CeC7HtWPHjjAWWc1yzuGVV97E\nww8/jyeeeC2MqcgY1GHDEDtCQbCe5hVlr94kiSALjMfzZsuN7eDcmBSgxg/wNJVbJbcRTGpP+hzR\nEMyotbqyJ2Vt1HKTqB27tafTHkWRWLszX9M5jhVYOSBAoZFFbsfhjflpoDyYrtNGw3PkU696l6JL\nqmn4mnQw+fA7s4wjGul3opCUjImcaGSvmMocizapW5J2hoJiWs/V9yWQqVGJsl80AiLIiMwbRySR\nTdDTO6wfi4WTGZyTs42ZPDx3bpJlOQ0+8fcG9ChK52hM4lxVPDhjNTK71tQocRRYGph0yHNprRRC\nWEEiYoJrWv4poFZxaNTApKkPQFtMFVdrjA5FxkUxha5rg3tNmTN8T9Wt1gWwoftEzBjBN8dwWSa3\nV24/I/2OkpCpgclzgkcBKG9pzupzk/2dQIz3r44jiuh5PtJsSf9GJi2213NkOUyNzhcBRjJipb0/\nZCrregx2psEEo2TXFGzIcytw9dUzFxyRT9Zknb3Ox8BtRH7S22+/jampKRRFgR/84Af43Oc+hx07\ndmB+fh5d1+GKK67A3Nwc/s//+T/4m7/5m3X//WtZE8CzwrWap4K5uQoPPvgyHn30KJ555nWcOjWP\nohih6yqwRFJ23WjR5Wzfh6dFaQ6apgLfJo2xUjB4DmED7Tr1RgHei1Fx9qEdg/KSBCgKWDpxjpiP\nIq2HQ57rtfjEzgwaYH5+DGab8PdKIxFHJ23YIDkKytH3tYllIziQvVdPukAOVSMUhXqr1A3Voe/V\nf6Uslg7KiQE0olsseiZI6Ow1pOuQdkh6pRqxY8qhbWWdVtgdz4OMWG0gFJbCSzapbR2yjBULAg1i\nxJRN0zRNcEUosFHWaW6sGp2lYVMmSxLb6BVIR70KWTgyezAmLIN0UZH5KWyj5tfqWjlAHmlaA8ih\nvjNm9hCAMe+DzAhZJx+ABFAYwwQQWEqQLVA8MqEuQrSAhPAKEpRgmH9TtJKTOaMNvG0lWJb2i/e7\nwitlrY/MjwvZTrxPNJKkBmrIBopNItBujR0j0GNQZQexMNTtpOF4KYAXgAIoys7gfWVATeJmQO3p\nMglk2ZSdW2vj2x7ah3S90rTH7t3r/zQ+WYvXdmR4gHP3p7WMIb/2ta/hF7/4BU6ePIm9e/fie9/7\nXtD+fOtb38IzzzyDb3zjG3DO4dZbb8UPf/hDAMCxY8dw7733AqB+9I/+6I/w5S9/+aKPYyOWu8CF\nmQxvbSnxcqnV9z0effQoHnroFTz77Bs4cuQ0lLarlFtuVoWxBa3l0vCDlU+6nek02O5NcKAnf+bW\naBPiE2tvDA4ZBIlU+16x/z4E+9FKrWROAQZVE4jJyKzvqbRRjuy4MOCSg5H4HEU0TYuioBsr1gRE\nBkEjGLEQ3HBa+15uhqpYUFYOtTa5sQWqJ9CIr0BVzSNmraQ2lpFlnBuNNBLS5DQNWSsGyImZ8cYW\nRZEpe7ikdeoDGGXZ5whq3M7zMmiYeNwKBWvDfJw6lTycI9vd46gQICsl0MbXIotT12PkeRkYJLmJ\n2M+VQ+nSUdAtDYsKLvn+KyU4y0Zo23EAd7pvCBwohFcuEAFWi9jcrdfkiE7vvwAFbf69aWxSqLJD\nQmuuYTZNDzm2dK/EAESBKgKXtuW15qjXGbghw8R7jswhARKAUBrrDJD5ADj6no5F3pvqY1PlBs+b\no6hY1SFRObVUGvGpj8vb9fThPAVmKUiWQLu1ESH1PX2fhYcQ/Q2pMNR7j3vv/Sj+4A9ux9mVApd6\nzc3NYWpqakscy1pX2zIqY2pq6lIfyrqt8ZjxJEN9jvce99xzDx588MFLeGSXbC2LaCcMz0WuV189\nhZ///GU89RTdVAsLshBHXYxcSuNxgySZtmRcH4Sy3HyoD3GODBA3ILlHFMImCl6CzQRtO48kKVDX\ndHtItCwLtvd1GOHow1muFT6RLxae8gmVT8C0hnPDlxA2y2hVJlPVIc+5USr0jiCAjhhZwslEdEiS\nkW3oGlOJjdB4obBrJ1aCTqSqaoJQWiBRgKUossBkSaOSZamNF6LomT9DkOC9Q1VVxgrx6booRuAT\nfQ/1PwFA0yyg7xPkeRlEszE8ke9FlvF60SEktqiHsmMoCI8CZucoyJZjSmMhpganAeAUhbN8pBgS\nSDcX759YdJogSVrIpq6IArahewN6tV1rhGOXxiSGRRKE0lqvGIDe7jMKchlwJut1TLGm9Z4iYwJp\nD7WAAwB1YOzCYnhjapqvof3f2/+GgUO5weT6UxBiFO5rZEX9FbVCZCd9AHAEJGRP+DdUGDgkEGoa\nb+9pY/qoxT1ffK/yAMSi5kt5TLrGyo0CVDDbtjzfssxN+J+ArfE98pzaMmrZJAIHPv7xPSjLMjxc\nVVWFjWjWfjev7crwLLUmYvNz1wTwrHDNzo7x85+/iMceO4qXXjqBU6fmwMyO1lgWQK3bosYlcM2y\n0hiEDhKg8kk1sc0qOqdUohndWA5Ajqqq7QMPxvKoKwoWVKcNR+La2HOlxFqVTrJt2tvTs5rBOxu9\n9AMmhtk7smR7n6BpKigkjqwUremx8VoN2u2AHVFRo7NNSh/0fCJWDgxt9XGEQ2eaWIEMTVMjTelY\nUngfr5e6u6R1YUaQRLjcOHMbL+RQwKBz6QBUJaYJid1KZTkCn8wpJte5qXKDbACC/orvWxHGlGRk\n+Hs41qPuiVqbYZO7mucBRQsQhMLAoXrM0gCWxIwQ6OUGmpRhw/tG1RMxAC8J91WS6Dj1HnTGcHkk\nSR+0WDEJWuemMaYHtVoS+gJ5nqFpKgPYbqADEhDPoGJP3oceUQBP5iRm8Xj73iLovJi7Aygrh+ch\nkXiG6ADLDPwxbFIMFcFMZyaA1sBDPfgZObskMh4ee7SXy7avChMyOiOoiV7ZQfx3hHub/87j1CiR\n9zFHxPv2XQuFyQHndipxFO0xBEDRtj9Z79a1FIjjaH+iBzt7TQDPBdb8fIUf/vBh/PznL2BurgpZ\nM3yaa6BQM4BZNF3XmH1VhZVFYGOGybgxJl86AfXs8H/nOSzfJgvCXTaMO6PyF+BcFlxYfMKUS0sa\nBDIq/D+m4EpLQ0BBESg3yBx1XdnIxBujk0PjE1mCqTXp7SmaGzpZICbqKhiu6xI4R6BWluyUkrCU\njhwgzxNjqCQ0dmEUIK0NbfZKF+7tNZtw3mItqGHRCE6Be8zMoZNMmz+v82LmBWgajhL5PQmGLdrU\nuES7OkGD3E0wVqw2sbHAbgyF7PsWdS0GSayEuqEKMJhR16VC2xIgxVwbZcMo7FH1DdHBRU0Xryvv\nSRWNwsZTsvKrXqJHtFvXdhydgTuHmILN6+XcCLJo09Uky3mPyLI0UMaNxN8SEet/86HAh3um6wR2\ndI3JShGcluE4yeypokR/LwLySRgtaqSZ52RxCGxLO7cOaqxXhYnCJsmE8e+STkiPGH2g910jUTry\n1KIu8bdyhFS7Udd0UcZj5cgxsrBkX9MU2LlzhNGoWPTZc6FOpbquoUT1swHQBAS9u9ekKX3pNQE8\nF1jT0yW+85278L/+15147LFX8PDDR/H888dx+PApLCx0izJr6ABJzKGiMYXYizQAFz7FKoFVCb2y\nm+fhCV4bLRkV2VqVsyIrrzYwZe9IM0QQQFGrRk7ONlCKefmUTodPXVeBQWAWy5AdUSUDGSZAzeNN\nGDkMxcR6mtcmwURZ6UU8pGniRu0MPMVyS50bM29Scw35MJ7SqJCbO7VHPB9lv/CY9L3cnF1gVKir\nYpVCWTrT6niUJYWyeq84auD3skA1isnlcpMGi6LmJmxQGqcRiAFAZi3uAhSqSOihlN/I9uh7XGC/\nVGpJhsqjaQi0GCOQ2CZN5o+sRRz7EGjxfpZgl5uzwF8RWBrnhunSCpAUGGfScXzNHir2rOvK2CAF\n7PEaSbNT121gE9tWYx2CNmrX9PDAcSaAwMLxnuwCkyrhMAFHYg8WkUGSUJ8AvDD2TDoynWdv11b3\nbGJ/b7w/lIbNLJ7W7j9q4LKshHMtuo5dc/z9YoUasK2dF7wocrRtbWym+uqAqGGim/C663as6PNo\nuU4ljcHqmozV2c3aawFA22kMtJ3ORWupczpz5gx27FjZPfVuWhPAs8KVJAluv30Pbr99DwDeZC+9\ndBK/+tVhPPPMG3jllXcwO1sFPUDUWSiyXsWKlYEAPZ0CadpACcgCA/pQZFBcbZqZKOwsSz6FKzSO\nT6cwXUJ0O3FjEXsStRBip6iZWICAGgGNLNAuHKc2Om4ssT2awKSB9xqR6OmyDa+pniWJeKOeIzc9\nCIJtetjRRccZAw9pu6/ArqrUmAEmTwvEqUWcOo/WdCDd4NwbxNwZboBs2HYYjUr7/XkYOfBpug+j\nKdmQuVHKQVSj67ihF0UedDfUEal1PR+MW6RhEkCCXdvoKuK1L+y95obF780M7Kix3BurJ0YvD04g\n2dlVO0EmJg9Ud98THMoRRW0Lx6Qq8GzbCHD6HigKjQ2dMTkCfW0ATX3foWkSu9/lVOqR5xTn1nVv\nDGXsx2rbGlET1AeWjiyIC0wdR3ixrV1AiCWouT0wREt6rNDQWI9gRg46AswujKI0ntTfLf/2Ovu7\nIODkmJXiZwV2clzm4H1qf/s+PIgMgzJjaWsXROXes+H9+utXX/IILO5U0ufSkAXi/dAvAkCTMdj2\nWssBngnDc+6aAJ4VrrNvKOccbrnlatxyy9Xha4cPv4mHHnoVTz/9Bg4ePIW3367Rtqp6ehsCAAAg\nAElEQVRjUGu5nrzVy8QPc+bexAZsagkU0CerdAN1ClE4LJFv1APwQ7cz9oevyddSZ5Us0nzSraoK\nSVJi2AzOp3lnriY+BXPU5uB9YvoYFYGqL6sOGxhHOXRYNY1KP9twnHTOxDEAkGA8riBruVwufKom\nY8Kn/QR974zVyJGmHbouCUwan6xbY0fS8DN04DRIkhIxAwaoqjGKYspAWx/eDwbYyXWkOgJuZsNS\nUI54cmPzmNpMfRaf5jmq5PWkqDY3oCZQxY2yqjpobEVWYsrYE4UJqtSSP0Nw0ZobS7ZwOZG4IStd\nmpu7UoM1xhKASo1tSYyhkhNJbjOmOivIsGl6KASQLevqKqOOjEGYeWBM1PelsEmOmiLjQuDN+5O/\nrzEA30C1EWQspC1LDZCoFsXZsTFCgSuxe06hh2RdJWDmz5ANlb1ebjT1o/F4pF2i+4uskcbHdKWp\ncmQoZiaDpI40RTSQxWGNSWtOMj/IT2px003rUylxoTFY0zQYj8fv2jHYdmR4llqTkdbSawJ41nHd\ncMNVuOGG+MF18uQsfvnLw3jooZfx2mtzePPNsQEUxfxTXMqRBLNx9CFJQBBHExSlcqTDygS6mAh6\nlNeSoigIdBjmxg2ST5tyj7S2mSoobhSePr13NnpQBo/ayHk+cujwqb0zIEfmxfvEmBeyObQ8x2oH\nCUiHLhmFKHZdZeOILmziBCsO7J2iBZ5gYjiik+24DZurNmyyY1HEmySF6XS8nQ+/T5sPN9/Yhi1t\nUHRb5fY0rowYdZI1g7Ei3VrMt4mdSrFVXQWS+nkBNYBMiQdHmrU9uecBzETbfBKyYcR4xJRpb+BY\n7jAxJsqQIYNFS7dEvj4wXdz8FH3AcZzGWGSGnI1xvLFJvJ5isPgz3MiZbaT3Gsb+5ZDQWteLACax\n94CAkCOzYQhkZ4W2CGCXIyFeT14bMXFisGB/RwmUpj0MG3SuRdPEBG6KonuwJLSw+yTeSxrNKr2Z\nQE/CdTkye0u8TjAe14i9ZMPsqB5KTo86rgQf+9iuDftcOt8YTFog/n2fOwabOH22/powPCtfE8Cz\nget977sCX/3qrbjrrt14z3veg9nZMX7961fx2GOv4YUXTuDNN8+AjqnOnmwVwFYYu7DYyRNrEFLL\n+NFGyM2GYGVxESTZHSBNSxu3+aDnoNuJG6VGF/yw6yH3GJu/+cQYW7r5QVgUitcneFNZJ1khF55e\nOfpCcKc1jX6nwuJocScTUNimww2CWUICh2JhYtEkqw4KyynqBpuagAvFr21bhzGVD4m3LWIPk0IH\nOxPPlhiPmaOS5wScclZxw87CRkg2jZu3urWc0zgtVmrE0lZv7FkU/pKxKzEeL4AJ2j44iSTI5ebb\nB0aibQHvqSuhUFbsnjarJuiECN4ECjMDLz2ybLTo3CjWzUzLEoXWaiRPEoVWUuQtsTFZH7nGqHth\nJg03TLqtmnDuETwAMacnJmiTlZADESgK9VrF5nOyUtysNY5TKajCBtXrRk2N3FGJjehKUEuVhPuC\nQZXqlRPYkaVcTGlvgFPMp+6BGlk2hajfk+5OgZmAYgE4guJrTk+PsGfPb23gJ9HidfYYDEAAQH3f\no6qqRWOw7bSUvL1d1nKAdAJ4ll4TwLPCtRYaVE9KO3dO4Utf+hC+9KUPAQAWFio88shRPProa3jx\nxRN4/fVZdB0Q+4HE3JRo2woSXTZND/U7aYPRhkvgwPENf9YHK7SYFgIQASg+BROE6IOgX7S5pims\ngVzBVkqZ5WhCACxJykDtx/Og3oNPyyNI7OlcYl1fHLWwmFJalwSyqNMN09lGpuyVDHK5sLG9xVAc\ny1Rciac5mhKIAgT+Whu7ZJDugWJjIM9HABrwgZhMGoW1fEIneNAIRC6nPGzuckHFMEgxO9EpRlZB\nImtpSFo7TzEiAgGAtDJkBDX6yg1wkj1j/g2MVWjAFOPYAK+MGOmIJCyPLrsGfS9wAAPRsYuMLfOR\nZWQjfR1GYDF3SGJkArCu43vA99WZM4+aozSVlbuHRNDMdiohgbNchRSW03KuERndbbpeAEMk2wHI\n0bnTZs7XVF5Ra6PbLDCX1AzxXlJulvKSCD5VSuvM/aZ7gX9zAp8Skuv+UuaVHHUMISQY27Vr+qI/\nW9ZracSlNRyDAQwfHAKld9MY7HJYE9HyytYE8KxiXSzFu9zPTU2VuPvum3D33Sxea9sOBw68hocf\nPoIXXjiJo0dPYzxm35QLBYmdUeUEG8ocAaKmhpQ8wU6aZpifX4D3KYoisQ+2CHayLDMRrxKK2dyt\ncQU3VbaokxFRyN3ww14bacwf0ZMvgRgGT+Od2Y1bSxRWcalqEiTwpq06BrxlFuCYBeZgqI/hmKMJ\nYlAVTdZ1DaUgc+OXJZuARddT2UTUx3SQK4zpytF1o1yYIYMlABXD5xBAiqouqA3y5tqRjkNi49I2\nbw81y1PkLYZAm2u6CLhQC9MZOCCg6HuNDUsDSGry9gZMeijplyNRgRWNnKTjKcEm7+h467oECoZk\najiPk+fG+0+VHGka7fAUNxMEcAwq1kCp4H04To3dqJvivarU7qJIAgAi0ybQ5iEHIAGWils7AzZx\nPMmlShdt2lE7p4qUGI4pMXxk73juTWBpBPQIojWCjiNXATP9vRLgewNbCXbv3nobk8Zg0pDNzMyg\n7/vABFHs7xcBoEko4uav8zE811133SYfzdZfE8CzCWulQCnLUnzqU3vxqU/tBcCb+ZlnjuGRR47i\n6aeP4ciR05ifr8MHMB1QDnIGyebKzUPi1QUkSWoiTo5A6royNqVH11X21D6088YRgzYyunPU36VQ\nwNY+7EsDPRJPKydHDpE0bAbOZQbgchtXRG2FQvE0puLvlPi1gdqqOfZTQ3kajk/sA9mFAlW1AGqL\nSsjBJWE4N0gJpZn0q3oNJTrTYUWrtUpQGQmgCo/WxiCdva7GKqp+kK5EYZCJgQU+SYtdIHhUpo6a\nvNXuXdq5cazSNMqqkbVcuTXOrk0sS+V9lxuwom1a/64xFsGhh/rF6C47O7SSLkDlL2nsE11NBEh6\nvzRSUr4SLeUEXXLhyWlGQJiAZaCx+Zznk4XRLlkRsUh0gRGMd5CeiT+f233bhlEkQYiz90EOryx8\nH+McnF2b3DZyAVL+DAEOIDGyzp1uw8Wgi+JvF16TomVVcfgA8Mk2tbjxxvURLG/Eiknfkd0RSB4C\noLPHYAJAW218tB1Fy0udz4ThWXpNAM8mrLUwQ/v2XYt9+64FwD/Wl19+E7/+9RE8/vgRHD78FsZj\nOqraVrkuFLFWVRNYCmplfHD0sO1ZHUi5fVBxpKN2bD2ZUuyrkYyaqhN7TSXMNuGPTqLSKKKlxkTs\nBDeoIuh52MFEPVKeU2DNxu0qjBhYwJmDRZuAurFUZir3WhSSetT1PJxLUZZkpggMmMTMCo4Gfe9s\nUyRYYggdrc60T4vJisJx6pgAJUXL0RYBgQt2dFrt1b8W7cgELVFkKzeWbOqxbiCDAhNVQSKHljKA\nmPHCzZcaIjWOw45DY5/e9EypsUEIIzEeZ8yPqaroEON9m9r4RVlJDYAM6jyTU42v6QbjMjEjArxy\ngHVQZxXzcAiMlKasyINhqJ5ABO+n6GrUSJfvcQnn6qDvoWaLgEiM4bDCgiNHMVxDPZXAlNxYtb3H\nsQtNvWh6TSVv83fyGretcoCY6SP9Dv/OBN5y3HLLe1b92bAVlt6bpcTQTdPYSNqdA4C2G+C4lGs5\nAHfmzBns3HlxUQfbeU0AzyrWeo+0LuZ1brrpfbjppvfh93//o2iaBu+80+Ghh17BU0+9jpdffgsn\nT56xUQJFmXQRwTbUftHTLp+6OQqhg0ozebEoSq2NXUzc2FukKRkL/rw2gMba3mVPdmEDIRsRXS1R\nyNyDeqPGwI7YhcSOuYZSemWlVw1DLBkt4H0NOnJ6AxYal3FEwRwahzyPxaUEC0xvjoGJSdDHcEOV\n5kYWeg/nJKqGbcIpFhbmoXA5gj5pTLzZ1TuraxBDlJuuxUHJxGSrGrtuDrFcEsHen2VRQ1LX8wbU\n6IrqOpiYXaCQAC9NmamjSgaNmQgqqTshiKM9n2BD1RCqSomOJWUAcfPPDED2YeQTtUe8R8jYxboJ\npUYzNbwILI90Ixrh8e9G+p8MWRYLcRl9EJOPY+qzCwJ83dcEPIBqUzTmIhtFxkX5OmoyV2o0GS4X\nAJyMBHwtBwUYaqwpgXPXqT29hfRMehihADrmWH3sY9es+bNhK6wLZQKdPQYTG7SZAGg7MjxLrYlo\neek1ATybtNbb3ikQtXv3lfj9378N/+N/7MPc3BxOnpzFU0+dwtNPn8DBgydw/PgCKJZsEDNS4ujL\ne4qYYwid8kKS8DTKUVjUNpBtkDBXBacNpLnRawpsUaxKNokBfok5v5jYy99JrQo3x8Q2nzqwOc7x\niZJ6JXVxSZPTWu0EW+LTdASWanJUotFTDKSTNoibNNkmblDU10SAVRSyiSfGUDkAZWB7OPLiz+S5\nBLeFsVJy77QBIGk8IHE37w11PnFEoKwaMh50Fg1zcgCg6xZQFCUonqUrSLoqPlmrfDYm+nKUqI6u\naKvnmEnJ2ImxTAQ2annn/VZDBaG0vhf2tcTuHWdMjdhBgkbVrxAETVlej8CD+tyYa5RlJZqmQrTv\na0zizMo9MpG4NDfeRMctyIDl9rsRrr3ycQj0qHdisnJ03LFw1UEhghzrerCKg6NKPQzwmDQq9EHP\nxHtUqeNJYJWyjPcFnXYuAFGgw1VXTaEoYsv1VltrAQirqcbYag3xl8s6H8MzATznrgng2YS1UU8U\neoKqqgoLCwsoyxIf+MB1uPHG3fjKV/g977yzgEceOYrHH38Nzz9/HMeOzRnlrBqDPmzyFKwmBgw6\nSKvirRGb1m9vtDRZkiyTdTy3ck81mos54igkCqE1tvA2QukCcCCAipsKAZK6mhxU60Bmh9qi8biG\n8mf4gSkw5Iz5qUDnEUJuEDekyFTQViyXUBbqGgAEJoGsQx8cPWq1j+GJ3jbkwlgOAjiOV7IA2qSB\nihs29VDK6wFSY6Wkf1BoIMcqvNYOaTqCxj8S5HK8ACwsyDEk15jHsAGd4vLcxM8cG6rPjeC3NdFy\nA1ngY4N5Y/eAcomibsv7AqrwUAeX94mNKpVFs2CgSs30KvfsIPE2gUNMfyYzGUMxef55AEYCNVE0\nnUBZUUO9E4BBUalYHAq1Od7Mws/zb9YFsCMBtETNPDdl6rSQ44rvsyIHJHrW/RIjJMgMdbjuunfX\n2GGl1Rgb1RD/bmJ4JiOtc9cE8KxireVJZ6MYntnZWXjvccUVV4QPkeHauXMKX/jCB/GFL3wQAFBV\nDR5++FUcOPA6XnjhBI4enUVVNWga2k+pLWhMvOwhAbPySPg1buLcKNqwySsYsesIZrxvw1O5Xkel\nqkkCKwF1QRdCZgPougpFMQJzW5w9cev/tzb6ydA0Y8T8GY5POF7xtgkrq0g/l9u4z6HrGOzYdcz1\nEZji96kyg++3fkb9TPE86G7rOsYEyKovQTmFriX6nsGM1COJYaMgWEwb2SBvoDKzey2WpNLB5pDn\ngGoQeB+ofyyWWCrHRyMlpimzo4vC5dLExB5Ai6Yhi8H3rrHvVbZPZgLgAtFaLqYNA/0MwyaZ7AwD\n1CmYlRSBhZgW3U+KEyAgoctPqdBpWhoLyQqVYft731cB6FGQjcBG8T6O5anOASoqJXuYQEWisSYk\nWtMJXgnsaWdXmnJkwLync1EhkBRLC7T2kP6NfXQS2yfQKDVNCch3755Zp0+Ey3OttBpj0hC/9Dof\nwzMRLZ+7JoBnE9Z6Ax7vvdmtO0xPT6MsyxV/AJRljrvuugl33UUrfNf1OHDgKB555CieeuooXnnl\nNNpW9RGKyI/hfzwfpTenUADf0KKujBM2psuZFIWtYjeKgsBCjh3mC8kpFm2/ZGT0JJ+i69S/xFRm\nPvEr7M7bKEP2+A4K+COwkAOI7hydh9rcCSqcbbIct3E0FgXMsVJAYY1ksnQe3Pgl3lbDPTd56Xxi\n4nNMSFbGj4piWdDqwwiH7qQ0jFLEOimlWQnKZM0601MpedjbvSP3m5rYCaCYPMxrt7AwtrbxBG1b\nQTEHbDDPDHyJ4dL/FjDgORPw9UGnw3GagwpCmYHkoQJQJhQz9JJjsjSMiMQ2SShMwExxOUEc76fI\nWCqMsrGf5ziPAKwPbJaCNGktVy5TYteRbBIziPh7pR/T34W63/h3RIBFPVAEnwLcquCIqcwOVVXh\nllvet7o//k1em520vNHVGNuN4VnufBYWFjA9fenznbbamgCeTVjrCXjatg0hYM45jEajNb1emib4\n5Cf34pOf3IuqqlDXNQ4dmsX+/Ufx3HPH8OqrpzE31w7cRPygp+4iZrpQuyKXEJmPLIPZdqfQ9xUk\nsKVdW+nNHfJ8BO9jgSR7oCiGVXWBRJ5d16JpyAApIE7sgDJQtNEA7GGi0FoiWNj4oYD380jTKQAe\nVVXbuMwHxxB1QA5FkaKuu/A+OqvMkChZmTN5PrINlxsehc5yWEnHo40zCaxNrJ3IkCQ1uo6Fs3Vd\nhXNSizq1WA3SdAR1jlGADABkQfq+x2gkXQnBgMTbBB7qU+N7l2V0dbFAtbbRjYda0/newVKwo0CY\ngvPc3GkdFAbJY1VMgsBrbq/JKAGFLsa8HxdeU31gPM8saKCYIRQzhsi2cATHkRSb0wn0JM6OOVUS\nGwtIy+2lkS7Zoqjh8l7hn6oOiUWgQzu/XH4qzAUy1HUFQCXCPZSbpHtWo63bbrt2TX+/m7EuNUBY\nSzXGu3UJNE7W4jUBPKtYaxlpyc56sct7j4WFBVRVhenpaWRZhnfeeWdNr3n20vnddttu3Hbb7vD1\ngwffxC9/+QqeffY4Dh9+E2+/XdkxxURmbmBAbPKWY0Uf9EBR+GBxF/AhQKnCh5U0KdQ48OmawEAO\nng5TUzMGNgBAX9cogSOhNPVoW1nE+e8CK97DNlnYyAHWKdajquimqmtpbhJztKlrSd1UEbh0Xcxg\nYVIzM22Uz9K2XdhE7UpDzega8XmfoW1jEWxdV0GXpNoLOX7UJaa2e7FRvI6Z6aV80GJxfKbqErJb\n0hapTkCOOI5/Yu8XR0sSJMtVJhu2LPJio/g6GtmI/VMQIXN+mGvEa5KDRaEwloxsEUdgWWD/BDTT\n1IfQSjmmqLeK9RwK32QMQ2o/Hx1THJtGTY4CBCnaFxvU2t+DQK3a3zuw66wzjRVAUXYWGDQFFSoc\nkcBN59+bfocM144dBXbtmghLV7vONwZbqhrj7BqN7bSWYngm/WfLrwng2YS1VoanaRrMzc0hyzJc\neeWVxoysDUAtt5Y6zptuumpRm/Mbb8ziV786jKefPoaDB0/i1KmxjWt6FEUJOb7YBN7ahzw33zwv\ngo1Zzep8evY2aqH9OIKV1pgN9T3FTjGNI+S6YrUCwwWbBhjmCkXLcWrMUQIm8sZgOO89yjKWa1LM\nK1FwTK6mHsMhy9g95X0SCj8J/GSzJjBQmGO0tZOR4dijNsaitmuEkNdDDU4HuubUxaSNM7XxCUXE\nAJkbBky2BoAApQnz/JwBrwYUCDeg1d9BFQIEUGKbVPSZhDoGia95zZRLJDCUDgAhhch8zRRKpFbp\nLEMWxQJFZxOzfii0jtee4zLmHlHErtBBMo0+ADyOnjgCVWaSdGURqPYGTFrbPNW6ng6E3AyjZBEv\n9TsEWw1UhKtroXGbhNgEs97YKoLGum7CmI95SAl27Xp363fWaw3HYFpLjcEEDGKp7fauxtjO53ax\nawJ4NmFdLODp+x4LCwuo6xozMzNW77D4NddzJr3S17n22itw77234t57bwUAnD69gF/+8hCeeuoE\nXnrpBE6cOGOaEgmaObphp5JSavkkrmqCpvFh/MC2dgIg4roORUFNyXhcG4PijWnIjKWhy4Y6IWW6\n9MZ2iEWQy0dajh5AETZBjp6Uh8MNUWJXgieOTxiSKDDEpGOxMXRRyV0FyH3GJOUYzMjfKa2IusBa\nOCftDSA3k5rhpfMh89IaiCNrJSE1mQsBLDqGYodWb7qTwtioBGpHVwEsWQmJkmPVBktGaxsL5ZDD\nSoCC5Z7KXALqWkyd7OZqX2+R5yMTQKeQNZ+i8VgJwp/R6EyFpkpilitNx9zZCLQ3fU1uY7DUWLbG\ngDat5y50k8V2eY4+1d7eBwaKbFKNotC9BRt76n2Ufk2urzSMDqXn6nsek4pjOSbs8f73X3lxf6ib\nuC5XzctSY7Cu6zAej8MYbDtUY2y3MtSNXhPAs4q1mS6tuq4xNzeHoigCq7Mex3K+dbHA7Ld+awr3\n3PNR3HPPRwEAc3MV9u9/BU88cQyPP34Yp0+TCdDGHcdBpPeVbKu2dqCz3ixuaFmmks/GNlFvI5Xc\nMnZ0bZowvuBoJgfD9YoAgFidQGYmz9XdxNGZknE52tGGqpBFBNt93/cYj2NqsXOqWIhjIOXdxPEH\nWYyimDKABAAJqooCYvaVOdOEqPDThdLWrutNn5INRjJ0QSkbRyGJ6kGLfVc51ALPCocOChjk+UUA\nI6eb0pUp9i2QJKwRkSNPtm1u5mKi+pAuTTG5N6F3YUJTpmlLHB77tgq0bY++J4MnPVdk6Aow7Vjx\nAB2iULk15kkCY2moqCcSS9R1FZTFxPqQAmpUl8CYQJyuOQI4aXIIABUyqaoM55Qw7lHXuh+Avlem\njyomEvv9KVTYCmTYu3fzGtLf7UsM0FD3eL6G+K1ajXH2WgqQ8qFxsrUvtSZXZZPWSoFE3/eYn59H\n27bYsWNHcCostaKIdv0YnvWY/87MlPj852/B5z9/C956ax+mpmZw4MDreOyx1/Dcc8fw2mu0wtd1\nDeXNyA3EWofGNkyA2hsyAHRL1TaayW3DAlTvAGQ2ekgDwFBuj3qWaHUVG7OAJCmCdijPSwNIHMlE\nMSs3/6JgjQbAXKKqalGWahlvUBQ7wLwbbn7jcQ05pKLAVdZqCYgTxIqDFE0zDiwFU645BqLOpgju\nvCxLkGU+MDd829REHgFWzBjqgvhbbI6Sq9NUpa+FMUCwa5aAouQGamknC8VNnmLdUQAgEvhSx8Rr\nWpbT6Lox2NzuAtvGn9c4LwIHOfGSpLd06cyuL8eFdKyRTSJDkyOKx6mnIhujDiw5sBQSqTwfsS0a\nu3pj9ZiiTRDH+5m6MzFoSgsXK1iaNkhuLbKN1PS0yPNpeF8jVn6wWqWuG3zkI1vbobXd13IN8Uxr\nv3yrMWZnZyeW9GXWBPBswlqpXbKua8zPz6MsS1x55ZUX/LmNyPdZ76VMmjvvvAF33nkDAG4ajz9+\nFI888jqee+4NHDnyDubmaIXvug6jURaeyGL2TmFPZEnIw6GYlDoY1UtovOC9ro02xsjmsJahA1Ci\n7zW+SAc6ktiKzQ2Oolzl0EgIPRoVAVQA1CaROaGOpihKG9dJO1RberJD21Y2UvI2upLAOLfRUGsJ\nvL1t4gQ7FIKT3YiJ03JDdchzZd+wR41VE842+cg8sTA1RduyOoGFno2NATieYTVJZeJiB7m+qCNq\nkSQjG/HxWleVwiy7AVtGXRat2a29d3TV6T2hLiczLYyYlzyMFamvkSaqQJr2aBqKw5VBJIu83GAq\n54xCZgSdD63vwGg0spyoJABG3m9AdMLFxGxFERC0qXB1CCojG8d7nw419X9x7FqibWuMRiU++tGt\nXymx1T9fVrMu9HCoMdjw+8/XEH8pqjHOXkud0ySDZ/k1ATyrWBs10uq6DnNzczhfgOBmrI0CUGe/\nZpIkuOOOvbjjDrbCN02DAwcO4+GHX8fLL7+NV199G3NzbRACq5cqy2BP2dR/SABaFNK0JLaxNjYa\nwUDb0wXtEEcWOep6bABAXVmJOZQ6C+9rgzW7rrWZexPwypkj0W0NYAqs4ughd5oa6KkF4ehpPFYj\nu7cPULnaHNjDxPTl+fkKgLNjYus9Q/d6Y6so4BWzEsdAdRDYSnvU9zAgEOsSdE3pWiPoYGKyQCXZ\nII4AVdDKcZcybySEJljJB445h6oaI7bdE8RQr8QRILU5sYhTQmTZw6l3kquKGUB57lHXZL40xur7\nxMBRZ79Hqc3KLwKUy7QYrKgHDjZuLdG2QJbBrm8Trq/Sp9VFJtEyz0XMDwES+9j6AIaos2oMtDdI\nEuCqq6YM/G79tdUZjY1aQ3ZnqYb4rVqNMamVWH5NAM8mrOWAxLAWYjQaYTQarerDZb0BykYlQi+3\nuPmPMR6P8fGP78WnPnVz+P7Dh0/hV796FU8/fcys8NR1tG1jTrAWKjuta3VyyZpMMAHAmAsVWrZQ\nzgqFqtTESDtEUBAF1QpMlPU4ClALcyUJQPF3khnhEyBt49R/KOE3TT3qeoyyHEGZQKxtIIvAUtfW\nMoZqG2v5wUy+R9uOkWUlnGsMACUWBcBjIssjnQg1K+pRo4CYVRqy9RNMyi7eGnhIzUnnjP3QyE1C\nZY7opONR7QPZLY12xHypWiHqiAhseijUTwBIri6CQeqheM50eNFpk9i4jGwbhdC9AVy5bhQ4yWsq\nhxiFxLKL0ylH51SLNOW4UoWe/J2ZfR/BClktF+4pAjugafqQrE2AFPvTVF6qVnUBu2uvnTyBX47r\nfA3xbduiqqoAlDaiGuPstRTDMzs7OwE8y6wJ4NmEtRSQGAYI7ty5ExeTE7GRjMxG64J0/kmSLCnK\nvuGG9+KGG94b/vv48TP41a8O45FHDuO112Zx6tQYdHJp9FTB+wx0JTWDkZiC8Br74EkW9WM1TW0O\nJIXnJeYwYroy9SV0ktFtlRsYiToOgokmjDzkECJDQqHr/PwYzgFTU1NQcrRzrYmSC8sakvh5uJl7\njEZTxmBlBoIasI1bbfAjMINHoxuAYluF98VjApSVRAaqaepQVgo4FEVm2TWqWKDol5qa3pixOoir\nJZbmdY7ZO7K1U7Q9ZaABAUwJkHL0lVvNSAaK2smgkQGhULppKuR5acdfQ31udPvxotsAACAASURB\nVOuRzWE8gWz7ArLR9aVEbDJwSgOP14I2fmcaKZWkKtywGWjHGuR5fB/opFNwpkIF5c6T6FnidR7X\n9de/Z13+viZr5WsjHGcXqsag2N0vAkDrOQZb6rN1wvAsvyaAZxVrrTepbk4FCE5NTa2qFmKp41lv\nhmej15DVmZ6eRlEUK/q9u3btwH//7/tw993X4T3veQ9mZys89NBhPPHEMbz00nEcP86RDTfDzJ76\nvYEVj67TaEglmKp8KMLoQpoTOqG82YhjK7ZGY3Hc5SHbuPcpus7ZGIl2awUCVtUYScKMHI7IIoPE\n0Yw6nlzICOLrAFk2ApkVtbl3SJLSRLldcJpxE3c2clHIYBJ0JGJR5EDqOrqekoTaKeoXFDiYIjqs\nqEeibdzZuExdXmS2htk1HCPlNkbqMBqNzN2mYs1hY3wdOtOU/0Mgl0Gt63wvu0ESsjeGy9vXEzDQ\nUHk7qh9ReS31XnRoZcbmKB3Z2ftH0bOKUwVGpY2qa4U8etBhJ1echNr6GsKxKiuKlSm1acRg5wDc\ndNPWt6QDl68t/VKtC1VjLDcGW0sm0FIangngWXpNAM8q18WADN3MTdNgYWFhWVbjYtZGlZJuBMNz\nIVZnNWvnzhG+/OUP48tf/jAAYGGhxq9//Qoef/wYXnjhGF5/fRZN05nehpQyRbPKU/G2wTdhs6qq\n2kSt3p7yC3uyp9OLOS+yGNOhQ4aJdmhtsBwh9bYpzyPL6ASjgDi35nEHOYykc6GdOYF6uJSRQ1Es\nRz5kq1q7djHxmSDEoyyn0HVt+Pr8fIUsK2yc1Aw2fepQ6I4jgKE2RhlICvdTLUQXRL9yOMXKD2d6\nJcA56Vy8ZePUBixU6FkYOAPY6N6aRsIZsEoDqOCIsYZ0VtTB5GBejwINAWqKlPxdBFcW0IUkZo6x\n6jDOjIJ4gc00ZOtQR+VNoEy9V993YYxHDZRiD2Rt79A0MDaqRtf1VmpbG0Mm7Rm73z7+8esu+t6f\nrItblwq8na8aYy0N8ct99k9GWsuvCeDZhCWac25ublWsxoXWVsriOd/ryWqvWoy1nP9ygGxqqsDv\n/u4H8bu/q1b4GgcOvI5HHjmC5547bq3wHapKm5XGXNwsORrJTS+jRmwmFqtfi6BFVQscWSnJuGkq\nlKVSjNMQMpdlZRAVc4zS2eaMEFJIhoa9WWkKG+0ktllnttH2BjZUP5EGsEJwkxhQUbN7adqaURAi\n973DwkIFFreq5Vy2fbE1TIeWDkUaJXVQMePG2b9T+0PApyoLBe55Oz8XwCY701pjc5R4K4t7jb7P\nAyhJkgxVVYW8HKAOOqoYKCkdTXRQybHFJvParh+1Qd4nWFiokGUuFKsSTCqFuzCdlw86rghme9Nm\ndfZE7qFeMl4LWLihAHRnwFY6otqYwQbT01O46qqJhufdui40BlttQ/xSDM/73//+DT+Py3FNAM8G\nL9VCOOfOSUte67ocbOkM6RsjTdN1Y7VWssqywKc/fQM+/Wla4du2xdNPH8P+/UfxzDPH8Nprb2N2\nNrafi02hIFaC1hyxX4obf54TDHHjy1HXrW2y6qJS27Yz105t4mqKY6WTiYWU1IZQs+OgpGNpkwjK\nKA5uW5geIDFmgg4mhjhSvB0daTFPRuWjYjD6XqMxskbKlpFtnpZ+6l36nqMmsl0ULRN0JfY9UdxM\nvVMKBgpKx+TNqRaTigmMKnOC9faBnyJN6T7T91Kzo/NIoXRpjs8aY35aG1dqNNWH68OfUzp1amOy\nHAwKrBBb3lVFIVFzaiOpJDAzHCOqHsIFgEwdUxyDUdTqTaeU2Zi1CmxY3/e45prLB+xsp5HWVj2X\nC43BlmuIX+585ubmJrb0ZdYE8KxyrRRkDAMEp6enwyjrUhzLpXhNlZ1yJFBgZmZm3Vitizm+LMtw\n++17cPvte8LxPf74Kzhw4BheeOEUDh9+E3NzqutgQzrFu5lZUTv7QGKvlBKZNS7hGMXZKCeFAvvU\nCN806uHqTNSb2JioQ1GooyrmDtEVxWoNFVqyqBSBgRja3tUrxdf3SNORMTAeSqmOVnKOfgh2fHAj\n0V7d2ugqD6JbVn7U5jRLgwZBrfTssiKAklA8TUsDcxo9KQ/JwbnGXFMN1DHGD32VyrZG6bNkk/1g\njTEwXRhNUpOkwESyRW07tIt3BpDIZskJ1vcpVAlC239puUi89hxTlYHl4/Wl640jTWX7CADKFeZM\nq9MYaFNad2LnxDHmnj2X12a0FUHCdl/nG4MNM4EAmImAbFGapjhz5gx27ty5qt9333334ac//Sl2\n7dqFJ5988px/f+utt3Dffffh4MGDGI1GeOCBB7Bv3z4AwL/927/hL//yL9F1Hf7kT/4Ef/VXf7WW\nU9/QNQE867yGAYKqhXDOYTweb1lwst6vOdTqFEVh46Ot9aHpnMMtt7wPH/nINSFq/tVX38L+/bTC\nHzp0Cm++OQZt0eqk6mwTdIg1FxyfKZtFVmwKZRWY11rIXQUKar0JhWEsBkP4kqRF26qBvTOw4BAt\n6urkSsJohaMhjUv6AJAUOKhiUOpIPGI6scY5aqUnGHOuxWhUgomzDl1XBTaHDE9nDiWFOHI0p4we\nghGBFQway1OkKZvDCRAb0xTxuOmIE9BJTXysgtjWGKDWtEUc00U3FYXSdJpRSM7ry/cEqAY6KTJA\nHD0p2JHAtixTY85m0PdjO29nidnO3heFIyodWmxPYqPFyl6XbFOSKKJAgZINbr55krB8KdZWZ8PP\nt84egwGcHgj4VFWFO++8E7t27cL73vc+7NmzB/v27cPVV1+9otf/5je/ie985zv4+te/vuS/f//7\n38cnPvEJ/OQnP8Hzzz+Pb3/72/jZz36GruvwF3/xF/jZz36GPXv24Ld/+7fx1a9+FR/96EfX5bzX\ne00Azzquvu8xNzeHvu/PqYXYrFC/S7nE6gy1OgsLC+uuCVrP1xu+1t6978Heve/B//yf/O8TJ2bx\n0EOv4PHHX8ehQ6dw4sR8GNEAMJEt2ZosUxmnM4t5EkZY7LRisCHHHWOk6cjAUw/nStC1pdycaGum\ntTxm2HAkox6t3pxhOZqGYEp2bVnJuw7wPjP3l7ecnC64qghy8iDI5rEyqZgZRR7e59bPxURiVjGo\naqJB7NpyBlb68Bqx0Vw6KYq/o2WbYIxMEwxANVBYIa8b05UJcJinw2utcERefwYR8t/zPAMzkDr0\nfWLaH4KRmH7cmh4qM2arhuo1gARFoaBCjsFYNZKaBd0boOLoClBGC983Mpul3R8KxiTz98EPTjq0\nLtXaag9ea1kag5Ul4xoefPBB7N+/H3//93+PH//4x/je976Ha6+9Fr/zO7+De++9F1/5yleWfa27\n774bhw4dWvbfn332Wdx///0AgA9/+MM4dOgQjh8/jt/85jf44Ac/iA984AMAgD/8wz/Ev/zLv0wA\nz3ZZS/3BDAMEy7LEjh07zvm+zQ71W8trXsxxLufA2ojzXq/Xu9D1u/rqK/CVr+zDV75C6vadd+bx\n0ENH8OijR/Dii8dx7NicjWKoiRmNVB8hgMM/r7pWrg4zZIpiCuy/UllnbWMlNn9LMMsQRFnNE2MY\n1OvkzaItgKTk5R7ey2nUDwCCbOPORi3K6JG4mYC9bREACDU5BE5FkYGJ0zXkLiNLksD7sY3zWNJJ\nBsQHhknnkmU56noBZJOcsTKqj+gD2OCDQhcs6mSIeqiLLPZSqVfLo6oaq+KQqDgxzZKCITMDocpG\nSswNlhtbQ6cWQyoRdEIEgBRn5/kU6rqye0fsGDVbfc+vkXmTZks/30Np0Gma4EMf2rUu9+9mrK2q\ne5msc9fOnTvxxS9+Ef/4j/+If/qnf8LVV1+Np556Cv/5n/+Jt99+e02vffvtt+PHP/4x7rrrLuzf\nvx+HDx/GkSNHcPToUezduzd83/vf/378+te/XuupbNiaAJ41rpXWQmzV8dNaX3MpVmcjPyAv5Yfv\nzp3T+K//9Wbceee1YEFojsceewMPP8wx2JtvzkNdShQtJ7ZZJ+YoSixFWeJdbubS4DC0T8GDPVi4\n2ZmjqDZxbqxE0OiLTrEedFPFZnWWsqpegenA3jP9l/1Zw04yhyRp4X2BrqvgXAFlCWkMxjLMeCwC\nS2qop6Ynt84vZ2MuWeA9quoMsmwEhvsRnBEYUQhO5oVsihKrFSI41O4oXDDLptB1YwMzGVS1Ieeb\nbPUETi6AkSTx8L5Hnk8baEvhHG35uqaqLImVHR5tW0GBlWJulFek2gnVSpDRIgPE0RZHfrt2zSz7\nGTFZG7vIOm7t9vPVrOXAqDQ8aZri9ttvx+23377m33X//ffju9/9Lu644w7cdtttuOOOO87rHNuq\na/KXd5FrGKC3kgDBrQBO1nutJFdHtvT1XOvJ8Kz0tYbarGENyF133YjPfvYGLCwsYH5+AU8/fQJP\nPnkSL754EseOzaNtuzAKSdMs5MIA8esxkE/2dwUnqq1depjERiyJASNZV1mJwRGKEocd6rq2n49C\naFm0ZcXX6I16IwqlOYLyoV6BeiIBl96OJYOKQQGNrkZIkh6qVKD4N0HT8P1XY7ocaHxNMjBkswqo\nOFUgh2OizgAhW8azzNlxSZvj7LwS0zR55HliFnNWOTQNLe6xQd4hdmnRlVUUpX2N149dbgCF652x\nXSyDZZWHLPwxT4i9Y3TUEXhShwUwCfu663bY+33xQXOTNVnnW+PxOIy51mtdccUVeOCBB8J/33jj\njbj55puxsLCAV199NXz91Vdf3dKW+AngWeVSz85qayEuF8CzktfcbFbn7OPb7DXUZg1ZvGGbskDQ\nZz+7E//lv9yAtm3Rti2eeeYYnnnmLbz44kkcPTqLM2cS26jzwabK0lKAnUwc18QUZzaUq0CVmzMZ\nmhR13SDPnR1PPxDiepTlyACXnmwptFbDOsXNrTE9HiwwTYLQminOdWA1uMHDwIjGNQ2YOExxLgAw\np4juL42j2Nze20jJw7kFy82JwYkcJyWQBV0t7X1fhxRsHhvQNGx7T1O/6Fi6Tm33KkvNzAJfQBlF\nAFBVrIcgsyTNVR20SUxXLhH71xgBQB1VYeM+1kYw3FJjxBZZNkLfj+089DfFh4Frr50OujaJUDe6\nb2ktaytpBNe6ttt47nzns95M1ttvv42pqSkURYEf/OAH+NznPocdO3bgU5/6FF588UUcOnQIu3fv\nxo9+9CP88z//87r+7vVcE8CzyjUejzE7O7vqjX4jmA5g45KWl1tt2+LMmTMrztXZiCDD9WR4LvSe\n1HWNubm5c7RZFMP24XX0dYbzkVmYmprCb//2TfjkJ/sAgF5++U0cOHAcL7zwJl555W288w71MCyg\nVPYNrNNKbA5AkWxkg1QQynGYWts5OiPrUBgQkH0dSJIiJB/T/aR+J5hQV06r3lgeNcgz44fanZir\nw3EXzPVUm4jYm27H27jIIc+nDDQwsI/i3cSE0LSwN808+HFEC39ZjlBVNYA+lMXqOqs+gqOvzsAg\nRcF5rkqQ1O6TaHeP4YgtyrIAW8w9yAyxE4wONBWHNsZW6fV9sNsr3ZnASGWyKqOt4ByQpj7Uj0jT\nc9tt78fMzEywGPd9j6qqsJqguc1eW+U4JmvxWq6Q+mLW1772NfziF7/AyZMnsXfvXnzve98LDzDf\n+ta38Mwzz+Ab3/gGnHO49dZb8cMf/hAAx/J/93d/h9/7vd9D13X44z/+4y0rWAYAd4ELtH3g/Tqt\npmlCTshq1ng8Rtu26xoIJabpyivXr5dnfn4eADA9Pb3o6xfL6tR1jaqq1i3q/MyZM8jzfF0o2/F4\njK7rMDMzc86/DXOUduzYsSSrc/ZYous6LCwswDmHqampc+4R/WzbMuulbVscPXoajz56HM89dxKv\nvnoap09XUC1CZC0UPNiZ+4i6ELJEgBKf1QqvJnhZ5antyaBgQFq1extjOZDZKS2XhonMfA3l47AS\nou8b9P3Qiq3fQZ0Rreb8ubpu7B7xoB5JgWoUDatgk/oWgTlAVRpMkS5Alxv/Xb1ZSaKModTeK2bg\nULvTIE2nwDLZxLQ00c7P65pb3s4wkFDXVZUZ3sTOqZXJqhTV2xjPm34pM7AjYKqRIa9rkkyj7ytw\nTJbgf//vr+Kqq879WxgGzQkIDcGPQuc2e83Pz6MsyxWx2Ft9KSpku2io1Mw+DLP13uOee+7Bgw8+\neAmP7JKvZTem7fHOb+JS8Npq11ZyVK32NVfL6mzkWm+GZ6nXklYnz/OQowTETUlU8vDrAnZlWS4L\nBpeKlP/Qh2Zw883XBgborbcW8Mgjr+G5507h8OG3cPIkjBXpwOC92hgSJQ8juKayTPZ1jXJijQaD\n+4YAQZZuOrAYrKf3tQFAPU10ONH+TTeXRms6x9TADr8nSTqU5SiMimhV78DmcvWPcZxFSVFhwYbS\nIbVIkik416NpWnQdhdpN41EUKbpuDAKIHqqUoKust8DEOFpTvUPX9fae5FDYYZ4Xxjwpl0hOuCHw\nUct8Z+OpwnRSDgRcalv3Zscv0LZjG9Nl8H4MgqEOV1yR48orpwKYOfveWC5ormka00PF+2ethZPv\n1rWdrtd2E2FvxpoAnk1al5OGR4BuyOpcbC3GpRZWr2Z57zE/P4+maTAzM7Mo5n3I6gw/ZPq+D5qM\nmZmZVT0JDzcwXdsdO3bguuveg3vuIQP0zjtjHDjwBp555k0cPHgKx49zpKMwOwYcdqFSglb1LAiG\nvXeoqiYkE3ddg6IoLZ01MbbFQSnIBE6sUSB4SQNrw1PzA1dZEsTN6rPKcx96vFTZIW0Oc3rULC5r\nPFkbjn2AWMZJTRLHYbGhnU4zjzzvDSSV8L6C95mNyTxUv+F9N6jxYE0G2TAEnZIs7i2Nc+bkAsiM\n6d97O5cMdV0Z2IS52njcZLEyVNUCsqwMDE/fZwbSalxzDfN3xO4NKwWAxbqLpcCx7kEl7epnNlIH\ntN10L9t91XW9KP9tshavCeDZpHU5AR7vfegAy7JszazOVtXwDNfwfHfu3BnO93ysjjpuiqK4oEtv\npUvp1FozMzPYteu38IUvcAw2P1/h8ceP4emnT+LgwTdx9Ogcmoat4NyUFQbIjZphfDm6TnqXNOTn\nqBSVrIZDksiRRLYjz2FOshxKfvae4yoViAoYOeeR54UJhltjjkoT9IohcnBOBZs9ALmbcmNzejvW\nxsBODucaeJ8GHRHFy7B6j5GBPIDaH2UESZQt2z2snqKHOogo+la4owssGBkWfk1t7bwuYoPkoGMg\nI3VOMPaHGUzDMlbnGtQ1mae9e69AWZbhgUL3lZxz0UGXnAOshwBIG9qwamBYODnUAk3ASlzbDbwt\ndT6TpvTzrwngWeW62D+YjWQ61vMPWU/sYjnWWna6lT9gxGapyX14vithdfq+XzWrs9ol7YY2uZmZ\nGfzu7+7E3XffhLZtMR5XeO65U3jssTfwm9+cxuuvv4OqQhix5HmOtu0sHwYAxAJwnMUG99pGtc7G\nVQoWbJEkJZxr7Wed5eNIaE1tSlHQMQXAsnCYq0NBrzKCqGshM6VcnWqweQtYVUEozGtPtoc1FCP0\nfYU0zQIIcy61ktcGaToNtc4LmLE3TIxSYeMuFcC2Ji4mSARoO+86QFk/ys8hmMkHf8MplPLMER3B\nogpZyb7Jts8U6Jtvfm94T4f/n+ffBwB0NiAScDn7oePse2OoA6rresvogCZrY9ZS+8ns7OykOPQ8\nawJ4NmldDknLTdNgYWEBANZNq7OVXVrD0cLwfJdjdYB4jfI8x/T09KYDOucc8jxfBIDuvPNKfOpT\ne4Pe48UXT+Hxx4/jpZdO4ejRdzA7W0NCZwqK1UGVgkWembE5QwbIwfsUBEP8d27EmYmuVSzKFOEs\n00hLwYhMO1bpJgGVGt5bAwalsTmwAtXOxM09mqYJQmjZ2r2vDQDFjB+lLOc5nVRFkZtQuYP3mb2X\n1Dq17UJgptSJRdbKw7nczkUZO2qO9wbAdP69MUOtMUASgksfpeJXOsXI9lA79LGPLZ+wfDYYEdgW\nmySxu4DPUgBoI3RA24kV2U7nonX2+Zw5c2YCeM6zJoBnk9ZGMTx63bX8IUu7Utc1yrK8KBfa5bSG\noZFJkgS7+ZDVARbbzaVnatsW09PTW8bpsdQmd8cdO/Dxj+8JbrBXXjmN//f/3sDzz58yK3wF9oDF\nUY9zPoxgZA+nxTwzl5I3ZqY2DY1D23pQ3MyxjZKNVSrKDVojoC5k4dDKLr0Ox1kCYQQdHkVRoG2r\nACZ4jKmNzJiRwzJWMhjq73LOQ7Z8ZgTRlh5dVWkITNTPJ0lqIM2ba60Z1IN4Y4taG7Ex8LHvYc6v\nzDKIOqj+IzanCwAVyHPgxhvfu+L3dSkANLw/h4zQ8HtXogMaskAAFo3Atmoe0GSdu5b63D9z5sxk\npHWetTU+tS+jtdVGWmt93bO1OmI9tsrxLfV6a8kz6roOZ86cQZIkmJ6eDtZOsToaAwzf57ZtMT8/\njyzLcMUVV2zpDWEIgMqyhPceH/3oDG655Zrw3r7++ts4cOCEtcK/g9OnK9uka6iU1HtvWUB9cCYy\nwydDng+rGwhq0pSC5753yPPUhMYlum5sQIUhhMqqiZ1hrWUEpXbfsSHduSa4zhjCmNtGL7F2be4x\nH8pWJXqmTkevlRjIoluMou4CzDXKkaYafQk0Jbb5N8b2lADY00Ww4A28ORuHlRZsSGaqbR2Yc+TN\nbVYAaPHe9/7WmkCygIzAyxAAna0DElA/nw4IQNA6CQA1TRNGaAI/22VdLsaJta4J4Dn/mgCei1hr\n2cQ3gla9mGMZsjpD7Yo+QNdrbRWXFkcfLHhVFchQNCoQNQQ7YoKapsHU1NRl6X5YapObmZnBjTde\ng6985SPoug6nTp3BY4+dwLPPnsTLL5/CqVMLBgDkUqpR1x1GI1rGu86HYEJatsl4kI3pLf1ZGhYK\njlmAmqHvYVZx9nQJWLGBPQXLTRvTCcUUZmXdOJejaQSGegNeYoMyMHvHGwNDB1iWjeBcHcCM7kf+\ne4eynAriagDoOqY087wWjPlqQ9I0xdcMPiSjJYG4D1Uh/P2Z/XuKPXvWdxNaCgDx2M/VAen7lwJA\n+tpyOiAAWFhYOGcMdrmuy/nYz14Thmf1awJ4Nmlt1B/axbzu+RxYWwWgLLcu5vhU8ApgURWINgZ1\nTg2vAx1R82HktV2edpeyws/MzOC6667Cf/tvZIBmZ8d44oljeOqpk3jxxRM4frzF9HTsznLOhUoK\n53zQvZBV4QhJACXLEvR9ZfbyJoAFipvZHk53FEtJmQVEYERNUQbnGtPYdAGYaAxHZoWlo1nmUdc9\nWJCqmofYsK7jZgqz2CAFB8aqDQYcpsgyhTR21nGWWCBibv/toDwgOsAoAO/7NDCRvFV77NmzsbqK\n5YTQw/8Dzg+AgMUMofcec3Nzpq/qgytxkgd06ddyn4ETl9b51wTwbOJaD73Ncq+5krUcq3Oxr7fS\n49Pv3uwPxSGrMyz8HI4C8jwP36MPcFnOxeps9w/zpazwV121E5/97PVgqGKLJ588gSefPIaDB9/C\nkSNn0LZsPO/7DmWp0VZqGpw2CIbrurVxUGNsTRLs4xT9dsasqNQzQdOM4X1uDElvIKuDqh/ipp2G\nglNqhmKKMt8zJk3r/7quQppOQaWj3qfG5NBWL52R9zzWvlfOEMMLk8RjNJqG96zfaFsHpiiL2Rkj\nywpkWW/HmII5Qz0+9rFrN/ldXbkOCMAi8HM2CBqO4oY6oLZtLxsd0HYULAPnPvDOzc3h+uuvv0RH\ns/XXBPBcxLpYUHAps3jWM1fnUq6Vnu9KCj+TJMHU1FT4utKS9fp1XaPruvDEux0/MM9eiiUYpkYD\nwN1378RnP/uB8G/PPfcmHnvsOH7zm7fw2mvvoKocohW+tIC+DAw2lGW7R9c1KMspNM0YrGug1Z3M\nkIf3tJ+rAJXvN9C2vfVU0QWVJA3UYN62fD+Lgn1VHI0xLJBW+x5J0pmehmyQerBUnNr33aABnsCs\nriuwnysLTi663Zxl/DDMkFoY1VTwnikKZgQlSYokyXHrrddcsvdUa7U6oKXWanVAWxUAXe5rOQA3\nOzu7ZFXOZHFNAM8mrksBeFbC6mzWMW7Wh15VVaEDaFj4eb4QwbOrIYBoW9frJUkSwM92E3UC0Ymm\nfrFhvtDZVvhPf/pKfPKT14dN7uDB0zhw4BheeukUXnnlNLpOTi+APWAUEWeZbO+0gTcN83Gi5Tsx\nsS/se5XYzK4wCZ77HjaCagxUCAylprNByPuhc8qZoylFmjLXpyhGaJoxmJXDnCKO3ICqGiPLpsA0\n5WFcAVOa1XWWpuo6y+0cEhNtNwbm2D2Xpj6MTrfKCOh8OiDZ4AGEEsmV6oCG7JGKUYd5QJdCB7Rd\nGZ6z15kzZ7Bz585LfRhbdk0AzyaujdLHLPeaa2F11vMDYj3P+3yvNSz8XI7VWS5EUGLe4SZ/tt17\nSOPLui/wc7YG6HJbcqLleb4IJC61lrLCf/zjO7Bv33XBCn/48Ck88cRJPPfcCRw+/DbefruBikNp\nW/dW2lmibevBiIluL7aLt5a8TMGxtDtycrEtvrB/p56GfV7etEMas0WnF0dRygsiC5UktMUzcbpH\nVTUYjagZ4jjNm84nh2ztPPfGtDsZ2nZsDBKPN88LpCkLWt///vdavlGL8XgMAOfcN1thM9b965wL\nwZrKmjpbB7SSQMSz/3aGOiB9z3Z0hP3/9s48Pqrq7v+fO5nsCfsiCSB7AEEEgRCBEKyUR5+Cir4s\nWkW2gGAewKUqrYq0Vmldagti6wZaQKS2iFYS6gxhUdkKCig7lB+EJRAw+zLb/f0xOZebmzv7XWe+\n739cCMmZk5l7Pue7fbTA1/O5pqaGanj8QIInDIzUmi63llCjOoG+n9GQ20OHwyEUWAZr+BmKNYTc\nIS8O44uLOdnXmeEhzuqcHA5H2J1ocq3w/funok+fToJILC2twL59l/HD8HtCsAAAIABJREFUD2U4\nffpHVFbWw+tX5Wis4fGmlbwFy94OKW+0x9mYGuMbW9EThOiBd/6OA94hhhyY07o3ssIc0D0A4pCQ\nYIHb7Y1YeGuD3I1RJr5RACXB4agDYEFiYlJjh1pco9hxIT4+CS5XHbzTmNlARA7MYNRqTYHH4xRS\nbt6iam+UKTMzDYmJicJ+S2tgvKan1yKHenZCsWL9uLg4WeErTn+JXwtwrQ7IVyE0w18dkHgitJJ7\nEEsRHhI8viHBoyFapLSUqNVROgWldIRHDBN3TqcTaWlpIRl+RmINIXfIszQAE0AAIE2BGemh63a7\nUVdXB47jFO1Ek6vzSEtLw/XXd8SECd4IUHl5Lfbu9Q5DPH26HJcv18DtZgKHrYNrjMCgsXA4STSM\n0Gt86o0IAd4UUyI8nnrwfFxjfZC3Doh5flksCYiLczXWDHkLlr0DAzm4XNWwWBIaO728osUbLXIL\n0SCOS2hMh3k71LwH/bV5Ql6bC76xBoZNpHaiT5/2snsjHgUhFUBMOLN/avG+cTgcqK+vR1JSks9i\nfX91QOKhhqEORJS2w1MdkH98PZ8ppeUfEjwaoqbgER/8KSkpEXlgqbFOJb8f+15M3MXHxwcV1WF/\nRw1rCPFDXCqAjJbKEEe3WM2Smutgv4OEhIQmrfAdO7bG+PHeg76mpgEHDlzEDz9cwfHjV3DpUh0c\nDlejqOAbu+e883m80SA2fNLSeLhy8LquJ8JqdTdOTrY2FlK7GiMMLng8rB6oAd4pz3xjYXoS4uK8\n83uSkqxC+7p3CjOzi3A3ToROaPxZFlgsVqFV3rsGZ6Mwq298PySgb9+2fvdHzhOLpQZZ/Rh7b6lR\nP8bmTblcrpAvAKEUQrOv16MOyMijNsLB1+shweMfEjxhEMnhoIbgcblcqKioaOb0bRTUaMOvqalp\nlrIT3zSBprdKVpCrlTWEr1ssE0ANDQ0A0CwFprYA0tL41B9yrfBjx7bE6NHMFb4OP/xQhu++uySY\nojqdHnCct0vKW8/DokE8vL5gbMKxd0Iyz3tn4gAQusG8tTT1sFgS4XTWw2tNkSC0kXMc4PXZYn/f\n0hitccNi8TrCew1JvQKooaGhsfjZAY7jG1vw64WuNKvVgh492svsgG84rqlfmq/6MfF7J9xC6EAp\nrFCRCiAgMmNUfylkcRt8MCIw2iJEcq+H2QMR8pDg0RClP3Csu8jlciEtLS1iZ3OGGrN4lPp+7EHJ\n83zQhp9GsIaQi3KwCBA7dNSu5dDb+NQfcq7wo0a1Qk5OdyFNePToFRw4cBnHjl3B+fNVqK9HYyTH\nIrSIe+txLPDO0vHOzvHaQXg9sVwu7xBDj8dbO2S1eru/vLN8rkWDWGrNOyX6Wu2Qt5Da2lgQjUbv\nOQfYxGmHwzvskNUGdeoU+ftNrn7MV/o0lOghez+oHeXzZ4wazkBEoHkdELOIUbMOyEj4SmnFSq1S\nuJDg0RAlD36WzmGHhFJiBzDmtGUWoWGREeYILI3qSAuTjWwNIY1y+CpmFacywnmYiffBSMan/pCL\ncgwdmo6bbuosaoW/ioMHL+PQoUs4d64WVVUNcLs5eDx8Y6v6NWsKbwTG2jgs0IHERJbCcje6sjvg\n8XCN0R7vxGhmKuqtDWLt7/GNBc2Ad2Kzd/r0NXd0S2OrPGC1JiAjI0mVvZFLn4rfOyx6Iiee9X4/\nKDEQMdQ6oEj898yC0Z7ZRsT4Tz4DEkmXVqQfPGmtDgBBBCiJkSI83hoPr7hr0aIFKioqADQvTBb/\nXsxoDSGNcogPsfr6eqEzSRwFCvReNOM+yCF3wx80KB033CB2hf8R3357qdEVvhzl5Q2NER5vvQ7P\nu8BxHiQkJDZGR10izy8rLBZXo5hJgNPpBMcxGwtHY8eWN2VgsSQ0tqk7Gn9XrDCea/xzVjDtDDmd\nFe7eyBVCs30RF0Kz9nilC9UjQSljVLk6INYOz6K/4nooM/uC+YvkmPU1aQEJHg2J9OB3OBzCrBRW\npMsmmyqJ0h+YcF83u4nW19c3K8QWG35Kozqszdpft4kZ8FfMKhVA0m4e8TBFs++DHHJRDq8r/HWC\nSLxypRb79l3EoUOXceJEGSoqeHCctfHws8Bi8RqUeiMz3qnM3vk+jsbDl4Pb7W1f96a7nEhMTGxM\ncbFOMV5UR+RsnMDsnenD80DPnq102R9p9JB9Lljqh82sUqsQOhICDUQMNg0m1yLvHWVwTQSGWgdE\nmBsSPBoS7sHPCk2dTidSU1ObpGa0aHXXA1+Gn+xhV19f3yzKoVabtVHwV8wq7uZhLuAAdC1M1hK5\nFEdqairat0/Dbbd1B8dxqKysw7ffXsShQ1dw6tSPKC2thcdjgdfGwjtBmXWCcZwbbjcHr1GoAxyH\nxiGJLniNUp1wufjGP3fDYnEhLi4R3vZ0C7zDE60YOLCTrvsCNL0EpKamCsaggQqhjfL5CcUY1V8h\ndKh1QEY2Rr0mtK/BJsUTviHBEwaRpLRCFRJyUR210bNomT2c6+rqkJycLAwEFKevkpKShFQNcO0m\n6HK5kJiYGHCIYLQg9wAX3+JZCD+a7TB8IY5gpKamCiK4Q4fWuO027wFXXV2Lgwe9hdAnT/6IS5eq\n4PEkguddjdEeizCNmec9cLkcELvCx8fHwelkgxGt8HgcAKyIi/MWUbdqlYzUVOVreMLZB+klQK1C\naK3wVQfkayCinECQE8niGiIjzwOSS2mRU3pgSPBoSCgHv9gmQRrVCfd7Gh2Px4Pq6mrwPN8kqiOt\n1RHfYlwul2ANwXFcM8NPozyg1EZciCq9xbOHt5Fv8UohTeWJ0zpyrfDt2rXB6NHdG+e9OPDDD5fw\nww9XcOTIFVy6VI26Oq5R4FjgHVbotbmIj2fzd+KFadDer/HaUFitibjuuhStX34TWHdisJPEIymE\n1ht/dUAsDczwVwfEXpdcHRCbByROgRlpD6qqqoRmDkIeEjwaE4w4CSWqY4aUVqDvxw6p2tpaJCUl\nISkpqUktSijWEOJhf9KHdLQKIPEsFXHbvfgWb9Zp0KHgzxdNjuat8DxuuaUFhg/vJuzRkSOXceDA\nFZw4UYYzZ6rQ0BAHp7MeDocDCQkJ8NpheA9Np9MNr02GBx5PA7p2baPyK5ZHnMIKtwsrlELoUIro\ntYIJGebflZCQ0FigHlo7vDSSJL1ESAciytUNqYFchIdsJQJDgicMIklp+SPYqI70e5pB8PjqTvN4\nPKipqYHH4wnZ8FNueB67xes160ZL/EUz5PB1izfiNOhQEZufigVzKMileYYNS8fgwddc4U+fLsf+\n/Zdx5MgVlJSUo7rag7g4rjGqGN9YSO4tZr7+eu0n3opFn9J1bHKF0OL3DiuiN0IhtC/RF+lARH91\nQE6nU+gk06MOiCI8gSHBEybhiAJ/f8eX+WWwmHHgFHvNiYmJTaa8+hsiGOrwvGBn3ZhNADFxDCDs\ng81XDYO4iBPQfhp0KIgPNqVnLckdbgMHpqNfv2uu8BcvVuHbb0tx+PAVnDnzI65ebWgsYo7DwIHX\nKbaWYAglhaUE/oroxSlUqYBWG1a7Fkj0hVoH5MsYNVAdEPtZStYBUYQnPEjwaAgTPOI3qziqIza/\nDOV7qrFOJQd1SYWer9fsL6rDBg9Gag3hb9aNksP+1ISJPqUPNn9pDCPWcSgh+kJBLkKWmpqKbt3a\nY8IE7x5dvlyF/fsv4/DhK+jUKV2Ti4g40qfngE05gSi1gwDUjSCySK7Vag050qe0Mar0GcOeM+KZ\nSEwIKXHBrampIcETABI8GiJ9g0Ya1RF/XyUfrGoWQodj+KmmNYQ/AcTSZkapU2Ciz+12azYh11+K\nUE+BqJboCwU5gZiWloYuXdrjf/7HJXQbqhlBVDOFFSm+ash8RRAj3R+x27sSk+eVGIjIvo90npYa\ndUDUpRUYEjxhEq4o4DhOGBwXblRHqbVo+f1YrY7UzV18gwKaG35qbQ3ha9hfJNOOlYAJsLg4ZUwe\nw8VfilALgSh+TxjRJkNOIEojiErtjxJ1S1qiViE0e0+E4/YeClIBxNYvVwfEvl6NOiBfz+aamhq0\nb6/+ZG8zY6ynRYxQVVUVcVRHjNFb09lDjVlDBGP4aRRLBLk6BV/TjtU64NWqUVGCSKZBh4oZB0uG\nIqCD3R+jpLCUwJ+ADqYQWjpnSGvRJ1cHFGonmL9aOrk6IPEsJTEU4QkMCR6NYB9MnueRkpKCpCRl\nB5IZMcLDUjANDQ2CcGH/X/xAkN5ejGwNEYoAivSA17pGRQn8FbKKp0GLRWIw+8PSFWo7e6tNMPvD\nCn3lDnhxWjMap2j7Sv/IFUJzHCdMFzbKsFFfhdBKGqM6nU4AECK+R44cQa9evcIqWp4+fTq++OIL\ndOjQAQcPHmz25xUVFXjwwQdx9uxZuFwuPPnkk5g6dSoAoFu3bsK8tPj4eOzevTukn60HXICDzbhh\nA52RDrPyh7hWhxXdKnkrq6ysVPSmx8w6W7ZsGfH3sFgsSExMRF1dHVq2bNmsMFka1WE3+OTkZFMc\n8FLED2j2Hgn1gBfPGDL7AS9FvD/sn8Ee8CkpKVF3wEsRH2zsPSQ+4B0Oh2lSWGrA9qehoQEulwtA\n0xSR0WdJSeuAxM0h/uqAxLDnJJs4f99992Hnzp3o1q0bhg4dinvvvRcjR45E27ZtA65n+/btSEtL\nw5QpU2QFz0svvYSqqiq8/PLLKCsrQ1ZWFkpLS2G1WtG9e3fs3bsXbdroM2/KDz5/+RThURG5bqTK\nykrDz82JBJZPFxt+srSVP8NPFqI3+wHvq1Ml2AhHtN/g/XXyyN3gHQ4HrFarrnVLWiJX6Mv2hqU2\nmGGwGQ54NWC1PizqKU2DAcoVQiuNXCE0EJ4xKnufbNiwATU1NZgzZw7atGmDN998Ew899BAyMzNR\nUFCAuXPn+lzP6NGjcfr0ab/rraysBOC9WLdt27ZJ3ZxRzp1gIcGjEr46sNRqIzdCSsvtdqO6uhoc\nxzWxhgCuiRrpLI5Qp+OaDX8CiE2XloboExISYv6AF9/g2Y1WLBBjYW8YzC4lmAPeiLOSlEI8UVz8\n+QimENqooybCMUZl0XExqampcLlc+NWvfoUOHTrA5XLhwIEDEZ8LBQUFmDBhAjIyMlBVVYV169YJ\nf8ZxHG677TbExcVh9uzZyM/Pj+hnaQEJnjDx9YEJNFdHjWiM3oKH1d1IDT/Zn3k8HsTHx8PhcAh5\nZyZsHA6HoXLwaiMngFj0h93q2EGm97RaPWDvJXGbta9p0NEe4Qj1gDf7ME1/sDEEwUSAQy2EjqTO\nTg38DURkv2uW9mbRH4vFgurqarRo4Z3ubbVaMWTIkIjXUlRUhCFDhqC4uBgnT57EuHHjsH//fqSn\np+Prr79Gp06dcPnyZYwbNw59+/bF6NGjI/6ZakKCR0HEk4N9dWCplX7SK7TodrtRU1MDnvdt+Gmx\nWJCcnCz8f1afwtbMbvJGu31pATMl5DhOmDHkK8Wj5bRaPfDVZu1vGrSZ7TD8EcpMGS1b4bXGl0VE\nKPgrhJYWihvxMyaOArFoOGt6Ebezl5SUKP57XblyJRYuXAgA6NmzJ7p3746jR49i6NCh6NSpEwCg\nffv2uPvuu7F7924SPLFAKNOS1YrwKP39Aq2RpahCMfwErkUv2KHG/p9Wbd5GwV9hsj/Dz7q6OkM/\nnMMhlNZ7f7NcosEwVomZMsGOCjBqhIMRrEVEqPirIzOqqS6bYyY3h6u8vByzZs3CuHHjFJ9L1bVr\nV9hsNowcORKlpaU4evQoevTogdraWrjdbqSnp6Ompgb//ve/sWjRIkV/thpQl1aYMBdecVQnOTk5\n4IeCKfSUlBTF1qL09+R5Hj/++CNat24t+3rEhp+pqanNBmjJdWAFaw0hfjiLu5yiSQCJzU9D7TwS\nCyC2P0wEiA94syBuvU9JSVFk7eIaDjbK36g1HGLEKaxgniXhItdJ6K9TTg8isYiIFPFnjO0ToF+d\nFIt8yqXzjh07htmzZ+O5557D//7v/4a8pvvvvx9bt25FWVkZOnbsiMWLFwtt77Nnz8aFCxcwdepU\nXLhwATzPY+HChXjggQdw6tQpTJo0SVjfL37xCyESZAB8bgIJnjBxuVwoLy8XummCbQlnN6zU1FTF\n1qLG97x69aqs4PEl8IK1hgj1QR5tAkhsfqrEg1xOAAHXbqdGFkBa2UOIUzxiLyMjvYdCqVFRGl+t\n8HqJaKUtIpRALxHN9kIa+eR5Hna7Hb/73e+wYsUK9O/fX/GfbWKoLV1p2EMz1G4aMxQti78ne23i\ntF16erpsVAdQ3hoilEF/Rjm85FDLEkGc4pGmwIxa5Ku1PYQa046VwghWGXKdcnq8h7SyiAiHYAuh\nlXoP+dsLj8eDZcuWYfv27SgsLDTiHBzDQoInTOLj48NKIRlpZo4/xOtktTqhGH6qZQ1hRgGkpU2G\n3JRWX0W+egggI1iG+HsPRTINOlTEtghKm+JGQrDvISVTPHpbRISKmoXQ/vaivr4e8+fPR4cOHbBh\nwwZdBLKZoZRWmLCi3VBhA/aU9DxR43tWVFQgJSUFDocDTqezSdrOyNYQRkqBiQcqGsUmQ3p4STvk\n1KxPMIs9hBY1LnqmsJRAyRQPS3mrndrUEmmaUFpr5+uiwbpe5fbi4sWLmD59OqZOnYqHH344KvZJ\nJaiGR2nCFTzsQcfmJSiBGt+zvLwcPM8LkSyp4SdrN5dGdYxmDaGXABIPVExOTjZUeF4M8+lhh7sa\nBZpmt4fwZ4cR6u1diTZrIxJOnZT4QmB2E9RABFMIzaLUcrVL//nPf/DEE0/gz3/+M3JycvR4CWaC\nBI8aNDQ0hPx3lPCpUvN7ssOJffBY2i5QVMcs1hBaCCCtinHVQloEHUmbt1adR1oSbqecOFVhlAuB\nWvj6nIkjHOJmi2jeCznkLhriz9nBgwcxYMAAJCUlYe3atfjggw/w0UcfITMzU++lmwEqWlaDcOpx\njDx4UGz4KZ1T4avd3GzWEGrWABmhAFUJ5AbZsT1ic1ECCSBpOs8o3TZKEE6hOPucmFUEh4rc50xc\n48K6CePj4+FyuQzdTagG7DkaHx8Pp9MJi8WCpKQk4Rny+OOP48iRI+jWrRs4jsOLL76ItLQ0vZdt\neijCEwFsyFkoeDweVFRUoHXr1oqtw+12o6qqCq1atQrr77MPmdjws7q6GgkJCbBarT6jOmxIVzQ9\nxMONAEVjJMMXvuo3xPvDJmkbOZ2nFtI6KTbXJC4uDvHx8aYbhqgk4ugnS+P4ipJJL1fRhr9nRnl5\nOWbPno3u3bujZcuW+Oqrr7Bnzx707t0bTz75JH7xi1/ouHLDQxEeo2C0tnRm+GmxWNCyZUvhlsVx\nXMCoDhs8GE0HWqgRIIvFAqfTGZWRDF/4a9FlPlgcxyEhIUEI3UfzwSWFHdwcxwm39+TkZEEomn0a\ndDj4ql0KphU+mixDGP6GCR49ehSPPPIIFi1ahNtvv134M4fDgb179yo6by3WoAhPBDidTiH6ESyB\nphiHA/ueocxjYA8gX4afrI5HOlvC5XIpOjjPbIgFkPj3n5CQgPj4eEO0weuBtDuP47gmBaxmmHSs\nJIE6jwJFyaJpj8Rp72CnafvqJjS7SBSneqVpb57nYbPZ8PLLL2PlypXo27evjis1NRThMQosWqLG\nrTfY78laHwH4NPxkNRzS2RIAmkRAYg0WAQK8Ny5xaN6oc4DURmwPIZ6tE8ygv2jbo2A7j/xFycSO\n52YXiexZE+oFSVwn5auWzGx7JO5WlM6g8ng8WLp0Kb7++msUFhYqWvJAXIMETxQgjsz4+8CLozrB\nGn6yG4jD4YDVahVEULQfXL6Qtliz/THTIEQlCaYjzVeaMNoEkDiSEepQxVCmQZtlj5S2iNB62rGS\n+BsmWFdXh3nz5qFTp0749NNPTdvsYAYopRUBYu+iUCgvL0d6erqitS8//vhjkxocKeEafvqzhhA/\nlNmQLbM9lEOBpfNCKUw20iBEJVGyI83fHhnt4PIFS2Gpleo10x6JbRG0nLsUTCu8Hp1g/tKb58+f\nx/Tp0zFz5kw89NBDhvkdmhyaw6MG4QqeioqKJqJDCfyJKJaOCsXwU2wBEOzMEOlcCbOFnH0hrk+J\ndEBaNAgg8XsjJSUl5g93PYbnaTENOhzEkQw13huhoOTAyHDxZf4JAHv27MGTTz6JpUuXYsSIEaqu\nI8YgwaMG4QqeyspKxR+OciJKbPiZlpYmG9UBmht+KmUNITd91WyFmeL6lGALLkPBbAJID3sIucNd\nC6+rYNbFakn0Hp5nhMPd6BYRgewelGyF9xfl4nkea9aswerVq7FmzRpkZGRE/POIJpDgUQPxiPBQ\nqKqqEg4MpZCKKIfDIXiyiG9agaI6alpD+BNARuu6EM8Z0vpwN2Ka0Ej2EIGiG1oIIBblslqthuxW\nDOZwV+rzbVaLCF92D5G2wjMhDKDZc9TlcuH555/H1atX8fbbbyMpKUm5F0QwSPCoQbiCp7q6GvHx\n8UhMTFRsLZWVlUJEpra2NmTDTz2sIaQPG6PMJjHa4a63ADL6UEV/0Q2l0ztiIWymuUtydhgAmu1R\nOIc7+6zoHeWKFGkrvNRWJZiotD8h/OOPPyI/Px8/+clP8Nhjj5l6rwwOCR41CFfw1NTUIC4uTlF1\nX1VVhbi4ODgcDsHwUyxogrGG0HsqrpIeTuGidvFppGgpgMxqD6GWADKSEI4UJaIbRhfCShCKKzzr\nWJT7rBw5cgRz5szBCy+8gNtvv12PlxJLkOBRA4/HI4yNDwWxgaAS8DyPiooKwc+KfdgCRXWMbg0h\nFkBKhZt9oWRhspaoJYCMJIQjRZreCae+JdoPdzkzS8D3oD92uBvdLFhppBEg9nkDIAhh8bOD53ls\n2rQJr7zyClauXImsrCy9lh5LkOBRg0gEDwDBiTwSXC4XqqurAUDowgKCi+p4PB5T3VR9CaBIQvKA\n+rVLWqKEADJ6lCtS5NI7/upblJ4nYxZ8RTeYgJQe7rEIa2rweDywWCxwu91Ys2YNTpw4gZEjR+Lo\n0aPYv38/Pvzww7C9DomQIcGjBuEKHvGY9XBh4XU2opzdWpOTk+F2u2WjOsC1m5nZDzNfN1JpEXSg\n76FHYbKWhCKAzBrlihR/AohdGqLNMy4c2Bwq1vAQLWMnwoXNNhNH/Xiex3fffYcvvvgCNpsNBw4c\nQM+ePZGbm4vc3FyMHj0anTt31nvp0Q4JHjVgNQ6hwqaChmsC53K5UFNTA4vFIhQKsqhRYmKizyGC\ndXV1QptktE3z9OW940sAmTXKFSm+BFBcXJywZ2YvPo0UsRAWI+0Ci6XDXc4iwld6R++OQi1gUVC5\nixIbJjhr1iz8/Oc/x4EDB7Bt2zZs374d+/btw/Hjx2PmMqETJHjUIFzB09DQAKfTibS0tJB/Xn19\nvTDISlx3U1dXB4fDgcTExGZFmezDabVao7L+QA65okx2a+c4TvDBMnOUSwlYVKehoUG4ocbKoeUL\naX0K0Dy9AyiTTjUDwab0zDQwMhLY50UuCrpr1y489dRTePPNNzF8+PBmf1cND0WiGSR41CBcwcM6\nX9LT04P+O2LDT3F4XXywO53OZp0E7OET6/l2VnfAomsANB/MZjTk7CGM0AavF8FaIviLJqpRUK8X\nkVpEBBoYqdc06HAJNExw1apVWLt2LdasWYNOnTpptq6ioiIsWLAAbrcbM2fOxNNPP93kzysqKvDg\ngw/i7NmzcLlcePLJJzF16lTN1qcDJHjUoqGhIeS/w26QLVq0CPi1YsNPaVTH1xBBj8cjiCoAsgWZ\nZn8Yh4rUKoOF5MU1QEYYza8VwdpDxIoAisQSIRoFkBoWEVrOS1Iaf/vhdDrx7LPPorq6Gm+99Zam\nwwTdbjeysrJgs9mQmZmJYcOG4aOPPkK/fv2Er3nppZdQVVWFl19+GWVlZcjKykJpaWnUlTWI8Plm\njdpXrBUsDaDG3xEbfrZo0aJZVIfV6kitIRwOR5PCU/GhxURQrNQjSGfJiK0y2G0zMTGxSaTM4XCY\n6mEcKqHYQ3Bc9DudR9pizS4UcXFxzVJg4s+cWS4dallEcBwnvH6g6bgA6WfOSFFXFl2X24+rV69i\n5syZGD9+PObPn6/5enfv3o1evXqhW7duAIDJkydjw4YNTQSPxWJBZWUlAO+A2rZt20az2PFLbL5q\nnQkkeNghXVtbi6SkpCZ1JsFaQ6SlpQkfPo7jkJCQIPswZoWZoXQ3mQXxLJlAXTbiQ4sJIF8PYz39\nmyJBOhU3nELtaBJAcik9pbBYLD4/cw6HwzBTxcVobREhFkDSSwcrGlfL6ypY/Jl/Hj58GHPmzMFv\nf/tbjB8/XrM1iTl37hy6dOki/Hfnzp2xa9euJl9TUFCACRMmICMjA1VVVVi3bp3WyzQMJHh0wJ/g\nEUd10tPTm9yGlLKGED+MfT1kjHbLChV2aw/3lir3MGZheCZGzSSAxIPz0tLSFL21m1EAiVMU4suB\nWvgSQOz3orexrlgMa7EfcshdOnxdztROFYpHNEgvBzzPo7CwEK+99hpWrVqFPn36KP7zgyWY115U\nVIQhQ4aguLgYJ0+exLhx47B///6QakijBRI8ERJOSguA7N9hhp+JiYlNDiV/UZ1Qohi+1u/rIcNE\ng5kOdrVu7b7C8SxlwcSE3g7eUrS2hzCDAIpUDCsBE0AMsQByOByaCiC1xHCkiJ9NQPNaKbVShcz8\nk+f5ZuLP4/Hgj3/8I/7zn/+gqKgILVu2jOhnRUpmZibOnj0r/PfZs2ebzflZuXIlFi5cCADo2bMn\nunfvjqNHj2Lo0KGartUIkODRAbGQYcWztbW1cLlcSEtLC9rwUw1riECpHSNHNsQP7vT0dFXXFawA\n0rMlN1IxrARGEkDiW7vRZlHJCSBxRFGtIX9msogIVCslTRWGIxT9mX/W1taioKAA3bt3xz//+U9D\nzO4aOnQojh8/jtOnTyMjIwMff/wxPvrooyZf07VrV9hsNowcORLnWLe6AAAgAElEQVSlpaU4evQo\nevToodOK9YW6tCLE6XQKgiQUrl69itatWwtDBMMx/NRjaJ6vVlM9b+xGNLnUe5/MYg+hVRcYu1QA\nXksXs6VppV1gkQogI4u/SAjF7FOKWPwlJiY2+bOSkhLMmDEDc+fOxeTJkw31eSosLBTa0mfMmIGF\nCxfir3/9KwBg9uzZuHDhAqZOnYoLFy6A53ksXLgQDzzwgM6rVhVqS1cL9uEKlatXryIhIUGY6RCM\n4SdgPGsIvQ92sxxk/oayKblPZreHUEMAqdV1pCeR7JM48mfkz4wSyAlF6T4B12ajyYm/nTt34umn\nn8by5csxbNgwPV4GERokeNQiHMHjcrlQWVmJ+Pj4JmP8/UV1zGINIfcgViMUDxijFiNc1DjYzSL+\nQiGSfTK7+AuFYPdJziIilpDbJ1aHyd4j4ij73/72N6xbtw5r1qzBddddp/PqiSAhwaMWoQgeseEn\n6w4R14CwgWVSsWNmawipwae4GDPcIkNxR0lycrJhxV8o+NqnYIWimcVfKAR7sMdSFEMOuYiixWKB\nx+MhS5VGWEcsqw1yu934y1/+gvXr1+OWW27BpUuXkJCQgPfff79ZioswNCR41ELsreMPqeFndXW1\ncFj7i+qwjqNouaFKQ8yhziNxubyOzWKH4mjEV82GtBhTzVkyZkBOALGDnV0QYk3sSBFHh9nzRmrz\nYKTmAy3wleasq6vD5s2b8cEHH+DUqVM4e/YsevXqhdzcXIwZMwb/8z//g5SUFJ1XTwSABI9aBBI8\nYsNPVqvDcRyqqqqQmJgIi8Xic4ig2AohWh/aUnsHQN6UMZbSE3L4qkXweDyCPUS0vkeCRWyEarVa\nhfoyvYvq9cSXJUIgn6toFkD+hgkeOnQIc+fOxe9+9zuMGzcODocD+/btw7Zt27B161asXLkS7du3\n12nlRJCQ4FELf4LH7XajuroaHMc1M/ysrq4Gz/NCy674QcQOdqkVQiwgJ4BYuJkO9ms0NDSgvr4e\ncXFx4HnekJN7tUQ8O0X8HokVLzA5QinWlhNA0WatEsj884svvsAbb7yBDz/8EL169dJsXYHMP199\n9VWsXr0agPd3evjwYZSVlaFVq1aardFkkOBRC4/HA6fT2eT/BWP4KTXRYw8UVkRHB3tTE1RxJMzs\nU6AjQVy/JH5oi4UiG1IZKwLI3+wUKbEggJSwiDCz0acc/sw/PR4PXnvtNXz33XdYuXKlpsMEgzH/\nFPOvf/0Lb7zxBmw2m2ZrNCFkHqoVrAuC53mfhp/AtbQN4P3AsToM8SDCaHoIhwq7jbFR9yyS4W8K\ntNkewqHibyKuP+8msWGsWd275Qhn/pKRBiGqARPEHo8nIosIX4M1fXnLGfmz508Q19TU4NFHH0Xv\n3r3xySefaD5MMBjzTzFr1qzB/fffr+EKowsSPAoRruGnuJtEfLCzhzB7eEXa2WQmxEPzxAd7oCnQ\n0WDwKUc4B3uwAkhaK2UWlDBCBaJLAIkFcWpqqqLr9OUtZ3Snc3YxkvvclJSUYPr06SgoKMDPf/5z\nXX6vwZh/Mmpra7Fp0yYsX75cq+VFHSR4IoRFZMIx/PRlDSF9CIsLVlmdQjSmK0ItTPb1EJazdzD6\nYeULqSAO9xCRGsZKD3YAzUS1UVHT+8msAkh8sGtR9yf32QvkdK7leyrQJOlvvvkGCxcuxF/+8hfc\nfPPNmq1LSii/p88//xyjRo2i2p0IIMETIW63GxUVFbKGn0yoSAWJ2BoimNupxWKBxWJpIoB83daN\nflj5wu12o66uTphPFM5r8OdvZeTDyhdq2UMw4S0WQGJRbWQBxDpstLIQMboAMopFhFz0VS8B5M/8\nk+d5fPDBB/jHP/6Bf/3rX+jYsaMqawiWYMw/GWvXrqV0VoRQ0XKEsPobX7U6altDiB8s7MASH/xG\nzq0DTSNdahsYajkFOtJ16tmC7+s9pddtna1Jrlhbb/QsgjbTcEW59xTQVFRLn5XhwKLtcnO6nE4n\nnnnmGbhcLixbtswQwwRdLheysrJgt9uRkZGB4cOHyxYtV1RUoEePHigpKUFycrJOqzUNVLSsFhaL\nRVbsaGUNIb5ZidfgcrkMX9cSaqQrUvzd1o1SKyW2h4gkhRUJ/t5T4tu6VvUaaqawIkWvCJDZLCL8\nvafkoorh1JWxiKjcxenKlSuYMWMGJkyYgIKCAsPsl9VqxbJlyzB+/HjB/LNfv35NzD8B4NNPP8X4\n8eNJ7EQIRXgUoL6+3m9UR09rCL3NPX1hNBNUIPIp0JFiFnsI6WHFRimoEVVkKSy1o39qoUYEyN/g\nPLMiTauKI0CBOgvFRf1yl8kffvgBjz76KF5++WX85Cc/0eT1ELpCc3jUorq6GqdOnUK3bt2aPbyc\nTqdwKzbKw0lvAWQmK4Rgp0BHipn2RA6pAFKiZdnfkDgzE6kZajTuiRzSwnpfAghAk249ab2OXsME\nCV0hwaMWZ8+exVNPPYWTJ0+iT58+GDNmDMaOHYvz589j1qxZeOONNzBq1CjD5tfVMPf0hdntMvwJ\noHDTOuI9kQ5EMyvS4ZqhplX9DYmLNkIxQ42VPfGF3HBNnueF54lYLHo8Hrzyyis4ePAgVq5ciRYt\nWui8ekJDSPCojcfjwaFDh7Bp0ya8++67OHfuHCZNmoSf/vSnGDNmDFq1amWKh5S0sJDn+YgH1knn\nyESDXYYShb1mT9cES6CpvWIBxNJ60b4nvvBnhspSnWa7KKiBy+U1Y2bvHbfbjaeffhqlpaXIycnB\nN998g5tvvhm/+c1vojoSRshCgkcLjh07hilTpiA9PR1vv/02Ll68CLvdjq1bt6K+vh7Z2dnIy8vD\niBEjTOO4G2lUQ9xJwm5h0UgodS1G7TjSCl++TYD3/ZKSkmKI9K/eiM1Q4+Pjm7ic612Dpye+apjO\nnTuHL774Ap9++imOHz+O2tpajBo1CmPGjEFeXh5uvvnmmNurGIUEj9p4PB5kZ2fj4Ycfxty5c5sJ\ngdraWnzzzTew2WzYsWMHrFYrRo0ahby8PAwZMsQUD/hQi1XNUoSrBr7qWuLi4gTvtFhNTUhhaT2W\nnhAf6uyfsbZPYosIMkP1Iq51k+vq/Oqrr/DrX/8ab7/9NgYPHoyLFy8KLucHDhzA1q1bKToWG5Dg\n0QKXyxVUwSnP86ioqEBxcTHsdjv27duHNm3aCDeRfv36meKD6a9Ylf3/1NRU0xXhqoHH4xFm67AU\nRawf6oC8KNa7sF5vxG34gbo6Y0UAiYcJSmcO8TyPFStW4NNPP8WaNWvQoUMHzdYVyOkcALZs2YLH\nHnsMTqcT7dq1w5YtWzRbX4xCgsfI8DyPCxcuwG63w2634/Dhw7j++uuRl5eHvLw8XH/99aZ4aImH\nCLL/jsaHb6jIDYiL9UM9lAnB7FAX1wFF6175834KhmgUQP7MPx0OB5555hnwPI+lS5dqMn1bvK5A\nTufl5eUYOXIkNm3ahM6dO6OsrAzt2rXTbI0xCgkeM8HzPE6cOAGbzYbNmzfjzJkzuOGGGzBmzBiM\nGTMG7du3N9xDS87gUu5QN+JkYzUJ1h4ilg518XDFcCYER+OhrpZFhNn3yp8ALCsrw4wZM3DXXXdh\n7ty5mr+OHTt2YPHixSgqKgIALFmyBADwzDPPCF+zfPlyXLx4Eb/5zW80XVuMQ5OWzQTHcejduzd6\n9+6NOXPmwO1248CBA7DZbHj00UdRXl6OIUOGIC8vD6NGjdJ9+qyv6cBy3lZGm2ysFuEYoRp9CrQS\nMAEYSV1XsHtlFmGtlEGsHEb3AvNFoGGC33//PQoKCrBkyRLceuutuqwxGKfz48ePw+l0YuzYsaiq\nqsL8+fPx0EMPab1UohESPCYgLi4OgwcPxuDBg/HLX/4SDocDO3fuhN1ux5tvvgmPx4MRI0YgLy8P\n2dnZmnrEhFKYLOcCzx6+DodDaIHXy69JKZSwh5DbKxb9YbUMWk6BjhQ1/cFCEYvM3sAoexVsBFAp\nzCCAxAXbcuafn3/+Of785z9j7dq16NGjh6ZrExPMvjidTuzbtw92ux21tbXIycnBiBEj0Lt3bw1W\nSEghwWNCEhISkJubi9zcXPA8j+rqamzfvh3//ve/8eKLLyIlJQW5ubnIy8vDoEGDVGl7lrZWhxOC\nt1gsgmM30FQAGdmx2x9qdaZZLBZYLJagxKKSU6CVQM0Ihhz+xKLD4TBMtMwIFhFGE0Bi88/U1NQm\nP8vj8eD3v/89Dh8+jE2bNiE9PV21dQRDME7nXbp0Qbt27ZCcnIzk5GTk5uZi//79JHh0gmp4ogye\n53HlyhWhAPrAgQO47rrrhA6w3r17R3zgsJtzMF0k4RKoBd5oXU1620OoMQVaCbSOYASD3HBNLaNl\nZprDpGUNkD/zz+rqasyZMwcDBgzAokWLDHH5cbkCO50fOXIEBQUF2LRpExoaGpCdnY2PP/4Y/fv3\n13HlUQ8VLccqPM/jzJkzsNlssNvtOHHiBHr37i1YYGRkZAT9wFIzLRHMz5Ye6iw9obcAMpo9hBJT\noJVYA6vBMIqPnC/kLAvUEkBmt4hQSwD5i3adPn0a+fn5WLBgAe69915D7VlhYaHQlj5jxgwsXLiw\nmdP5q6++ihUrVsBisSA/Px/z5s3Tc8mxAAkewovH48Hhw4dhs9lQXFyMixcvYtCgQRgzZgxyc3PR\nunVr2QeK+EFtBB8so7R1m8EeQkt3c/bzfM1MMQO+omWR2KsA/iMYZiVSARTIEHX79u147rnn8M47\n72DQoEFqvxwiOiDBQ8jjcrnwn//8R7DAqK2txfDhw5GXl4dbbrkFiYmJWL16Nb7//nv89re/NeyD\nWu7Bq2adhpnSElICuZtHEi1zu92oqakxVAorUvylC4OplwrUcRRNhCKA/EW7eJ7He++9h88//xxr\n1qxB+/bt9XpJhPkgwUMER11dnWCBsW3bNpSWlgIAnn32Wdx9992GTk2IkbrAK5mmCGUSrhnwFy0L\ndgq0mVJYkcAcuv3VS3EcJ+yX2aNdkeJLAMXFxcHhcCAhIUF2mOAvf/lLWK1W/OlPf9J0mCARFZDg\nIUJj69atmDJlCsaPH4/bbrsN27dvx969e9G6dWuhALp///6meYArUdQrN1wxGgk1XWjmaFeksGiZ\neL8ACO8ph8MBq9UaFcJYCcSGqMxGpKysDGvWrEFubi569uyJOXPm4J577sGcOXNoz4hwIMFDBM8/\n//lPFBQU4N1338Udd9wh/H9mgbF582bY7XYcOnQIXbt2FSwwunXrZpoHlFQABSrqlbOHiBX8TYG2\nWCyor6+nQ70RJoAaGhrgdDoBQDCN1btjTm/ETQ/M/JPnefy///f/sHz5cmzfvh1HjhzBDTfcgLvv\nvht5eXkYPny4pnPFiKiABA8RPFVVVairqwtowsfzPE6ePCl0gJ05cwb9+/cXIkBGtMCQI1BNC+BN\n9UVTXUokMAHU0NAAt9sNoHm0LFb3SGoRERcX57NgXCwao51A5p8bNmzAm2++ieXLl6OkpARbtmzB\nli1bcOTIEfzxj3/EzJkzdVw9YTJI8BDq4/F4BAuM4uJi/Pjjj00sMNLT001xEIpTOmyoHxv6F8vO\n5gxpCovjuCYpHbNNgVaKYDzCtO6YMwL+zD/dbjeWLFmCY8eOYcWKFUhLS2vydysqKgSXcYIIEhI8\nhPaILTC2b98Ot9uNESNGYOzYsRg+fDiSkpL0XqJPxB0kSUlJzYov9R6/rxfBFGzLzbVRoq3byITr\nERYoumh2AeSvFb+qqgpz5szBTTfdhGeffVbz11lUVCTM0Jk5cyaefvrpJn++ZcsW3HnnnYJ9xT33\n3INnn31W0zUSYUGCh9AXnudRU1OD7du3w2azYdeuXUhJScHo0aMFCwyjtOsGsoeQdukYxapAbdjM\noaSkJMTHxwf9Go06BVoplLSIYNFFccRMqZEBWhKoFf+///0v8vPz8cQTT2DSpEmavya3242srCzY\nbDZkZmZi2LBhzaYkb9myBa+//jo+++wzTddGRAy5pYdDoBsAAMybNw+FhYVISUnBypUrMXjwYB1W\nanw4jkNaWhpuv/123H777YIFxubNm7Fq1Sr88pe/RMeOHYX6nz59+mh+EAZrDxFtxp6BEA+HY8Wm\noSD2TJN2NZnVMw1omtoLZ1/kEKe3EhMTm6VX2URvIwsg8b7Ieadt27YNz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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "draw_dirichlet([1,1,1])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$\\{\\alpha_k\\}=0.1$的情形:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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+6IqCcsg39aDwc8bcIo1GY0MwLcUD5Z9Go4G7774bJ0+exAMPPIB3vvOdkGUZ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\nL+l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