{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "首先,我们对一个线性回归函数(linear regression function)进行梯度下降(gradient descent)。残差(residulas)给出如下:\n",
    "\n",
    "\\\\[\n",
    "\\sum_{i=1}^{N} (y_i - (\\beta_0 + \\beta_1x))^2\n",
    "\\\\]\n",
    "\n",
    "这样我们就有两个参数了,分别是$\\beta_0$和$\\beta_1$,我们需要优化得到它们两个。用矩阵形式,可以将残差函数(residual function)$f$写成下面的形式:\n",
    "\n",
    "\\begin{align}\n",
    "& (y - X\\beta)^2 \\\\ \n",
    "&= (y - X\\beta)^T(y - X\\beta) \\\\\n",
    "&= y^Ty -2\\beta^TX^Ty + \\beta^TX^TX\\beta\n",
    "\\end{align}\n",
    "\n",
    "对于$\\beta$求导数,得到了:\n",
    "\n",
    "\\begin{align}\n",
    "-2X^Ty + 2(X^TX)\\beta\n",
    "\\end{align}\n",
    "\n",
    "这里当然就可以设导数为零,然后得到了看上去很正常的方程:\n",
    "\\begin{align}\n",
    "\\beta = (X^TX)^{-1}X^Ty \n",
    "\\end{align}\n",
    "\n",
    "不过对于展示梯度下降优化的过程,只要求导就可以了。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "u'%.4f'"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import os\n",
    "import sys\n",
    "import glob\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "%matplotlib inline\n",
    "%precision 4"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "主要思路\n",
    "----\n",
    "\n",
    "给定了已有的测试数据$x$和$y$,残差(residual)就是对向量$\\beta$的一个函数。在这个简单的例子中,$\\beta$有两个部分组成,所以$r(\\beta)$ 是一个曲面(surface),随着$\\beta_0$和$\\beta_1$而变化。在本章中我们绘制出残差函数的曲面,然后会发现,优化的过程就是试图去找到在这个曲面最底部位置上的$\\beta$值,这一点的残差(residual)应该是最小的。可以从任意一个点开始,梯度下降法每次都朝着没一点上梯度方向的相反方向展开一个步长,因此类似『下山(donwhill)』。在最底部的位置,梯度就是0了,所以就不用再下降了。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "def resid(y, x, b0, b1):\n",
    "    b = np.array([b0, b1])\n",
    "    x = np.vstack([np.ones_like(x), x]).T\n",
    "    return np.sum((y - np.dot(x, b))**2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "b0, b1 = [100, 5]\n",
    "xs = np.linspace(0, 1, 101)\n",
    "ys = b0 + b1*xs + np.random.randn(len(xs))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "intervals = 10\n",
    "us = np.linspace(0, 10, intervals)\n",
    "vs = np.linspace(0, 10, intervals)\n",
    "U, V = np.meshgrid(us, vs)\n",
    "Z = np.array([resid(ys, xs, u, v) for u, v in zip(U.ravel(), V.ravel())])\n",
    "Z = Z.reshape((intervals, intervals))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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325GTkyNUeBIJDuUfLjIN/pjiETxiqm4RsUECh8goYvG2SVRkjI+PJ50AnqkVHBI4mUM6\n56P44NCSkpKQ4NAzZ84ISem84Ik1ODQbhAEJHiISJHCIjCFWb5t4W1Q+nw+nTp1KSQJ4ulZREdlD\npgjNSMGhTqcTFotFCA7lk9Jzc3OhUqku+c5l6zD7QoKnu7sbK1euRE5ODgkekUMCh0g78XrbxNOi\nstls6OzsxMqVK1FWVpb0xZoqOEQsZKIoYBgGGo0GGo1GCA51OBywWCzo7++Hy+WCTqcTZnhUKlXW\nCpxwggWPy+USqsBU4RE3JHCItBLekorlYhrLzTw4Aby2thZarTYlx5sJAkcMNxwxky2iIDgpfcWK\nFSFJ6b29vXC73VCr1cLKJbEEh/Lp6MEChuO4iIIn3HiQyC5I4BBpI9jbJp4VD4tVcMITwFNpjpYJ\nAieRfyeIxYiUlH7+/HkMDQ3h1KlT8Hg80Ov1QksrW4NDWZa9RKxEytHiOA5utzuiDw8JnuyABA6x\n7ETytomHhW7mkRLAU0m6VlEBC892kMDJHLKlgrMYEokEWq0WGo0GmzZtAsuymJubE5al+3y+EMGT\nLcGhsbw/sQoehUIBqVRKgidDIYFDLCvRvG3iIVIFh08An56eviQBPJVkqtEfkTmIReAAoecikUhg\nNBphNBoBBKwceMHDJ6Xz/57pSenxvj/RBM/8/LzwM6lUKszv8E7LRHohgUMsG4m2pMIJFzjBCeAt\nLS1L+iRFWVTE5cRCPjjBsREAIial8wPLBoNBdEnp4YKHZdmIgodvaZHgWX7E84kjMpZYvG3iIfhm\nHksCeCpJ9wwOy7Lo6+uD0+mEyWQSVrsAmbM8+XJHbBWcWL+vkZLSrVYrLBaLEBwaLHjEFhxKgifz\nIIFDLCmpaEmFI5FI4Pf70dfXF1MCeCpJp8Bxu904cuQI8vPzsXLlSlitVmG1i1QqhUajQX5+ftYO\nf4oFsQmcRM8lluBQXvDo9XoSPCL5zGQSJHCIJSFeb5t48Pv96O/vR0lJSUwJ4KkkXQLH4XBgfHwc\ntbW10Ov18Hq90Ov1wmqXgYEBOJ1OdHV1CbMQubm5MBqNomoNEMtLKqMaIgWHWq1WTE9Po7+/HzKZ\nLETwiGlolwRPeqArH5FyEvG2iZXp6WmMjY2hrKwMVVVVKdturCSTg5UILMuiv78fc3NzWLNmDXJz\nc+H3+y85pmDHWr/fL7QGhoeHwTCMMCthMBhEdePIRMRWwVmqz4tCoUBhYSEKCwsBBGbprFYrJicn\n0dvbC4VCIXxutVqtqD63JHiWBxI4REqJNW4hke3yCeAVFRVpW6GxnEPG8/Pz6OjoQF5eHkpLSxes\nxAQfl1QqRV5eHvLy8gAEWgMWiwXT09Po6+sTbhwmkwlarZYunERUllOsKZXKkKT0+fl5WCwWjI2N\nCUnpwYInkePK1Dm1aILH5XKFuDCT4IkPEjhESkjW22YhwhPAR0dH03ahWq4WFT88XV1djby8PAwO\nDia8X7lcHvKkzN84zp49KwQwBg8s04UzObIloDIW0lmNysnJQUlJCUpKSgBACA7lP7cqlSrupPRI\nJn+ZCC94+GMlwZMYJHCIpOE4Dl6vF36/P+UtqUgJ4BKJRJjtWW6WWuBwHIeBgQGYzeaQ4elULhMP\nvnHwAYxmszkkj4gXPGKx519OxNaiypRz4ZPSS0tLQ5LSh4eH4XA4oNFohBmeaEnp2SJwwllM8JjN\nZuEBhQTPRUjgEEmRKm+bcBZKAE+n58tS7tvj8aCjowN6vR7Nzc1RL8SRfseJHldwAOOKFSvAsizs\ndjvMZjO6u7vh8/lgMBiEJ2UaWL68SOWQcSphmMWT0rVarTBoz1cms1XghBMueCYnJwVzU/79YlkW\nb731Fm6//fa0HWe6oasVkRCp9rYJZrEE8OUe9A3f91IIHIvFgu7u7qh+Pssl6iQSCfR6PfR6PVat\nWnWJeRsA0XqZpIpMqnokS7a02yIlpdvtdlitVvT392N+fl6IncjUOZxk8Pv9QrsKCLxv58+fx7PP\nPksChyDiYSm8bfjtxpIAnk6Bk+oh4+CIicbGRsG0L9J+0+FkHG7eFu5lIpPJhIFlnU4nmht7Mojp\nBpqtYi04OJRPSrfZbJiamoLdbsfhw4eh0+mEymS2t2LDK1MMw8DpdC5ZZE22QAKHiAufz4fh4WFh\nMDVVFz+v14uuri4oFIpFE8DF0qLyer3o7OyESqVaNGIiU6Iawr1M3G63kEVks9mEwU+TyRR1DuJy\nQCznnaktqnhhGEbw1vH5fFi/fj1sNptQOfV6vUIr1mg0Zp1Zpt/vv+Sa6XK5SOCk+wCI7CC4JeXx\neCCXy1N24Ys3ATzdFZxUCInZ2Vl0dXWhqqpKWBabjSiVShQXF6O4uDhk8DN4DoIfWF4ut+l0k61V\nj0hkS4sqVvhKh0QigcFggMFgwKpVq8CyLGZnZ2G1WoXg0GDBk8nBoTzhnzkSOCRwiBgI97ZJlcBI\nNAF8qeZgYiFZgcNxHM6ePYvx8fG4zjlTKjgLEWnwkx9Y7unpgcfjCRlYzoabRiKk+31IJWISa0D0\nipREIhE+l5WVlcLsmdVqFYJDgwVPNgzbOxwOEjjpPgAicwmPW+Cf5FIhcJJJAE9Xoje/70RvYD6f\nD11dXZDL5Yu24SLtN13nnCjBcxAVFRXCU7LFYsHIyEhI2rTRaEz34aYUsYgCMQqcWK41kYJD+c/u\n8PAwAIR8djNx2J5mcEjgEFFYyNsmWYGTbAJ4uldRJbJvfmXYqlWrUFpaGvf/z4YKzmIEPyUDF9Om\nzWYzBgcH4fP5oNFooFarodPpsrY1IiZRIJZl1TyJno9MJgtxBw/+7PJJ6bzYyZTVhS6XCxqNJt2H\nkVZI4BCXsJi3TaJGe3woZLIJ4Nk2ZDw6OoqzZ88uuDIslv2m+rjSTXja9NDQEDweDyYmJnD69GnB\nmt9kMsXsVEukFjGJNSB1gi2WpHRezC91cGi07z1VcEjgEEHE6m2TSBXD5XKhs7MTeXl5SSeAZ8uQ\nsd/vR3d3NziOu8SsMBGyTcDEi0wmE1yWAUR0quUFT7Tl9JmAmESBmM4FWLqKVLSk9KmpKfT19Ql2\nCrm5uSmvTkZ7j0jgkMAhLhCPt41UKr0k0Xoh+JDHmpoaoaedDNlQwbHb7ejs7MSKFSsimhUmu9/w\n7WVjBWcxwq35HQ4HLBYLent74Xa7QyIlMmlZr5jeBxI4iREpKd1isWB8fFwIDuVneJL1j4q0RBwI\nCJxUXG+zGRI4hFC1iTVuIdaB1+AE8JaWlpTdhDK9gsPnZ23atAl6vX7Z9itmGIaBVquFVqsVIiVs\nNhvMZjPGxsbg9/tDhj7TvcpFLKJALD44POmaKQq2UwAuBt6Ojo7CbrcjJydH+OzGm5TOsmxEgTM/\nP08zOOk+ACJ9JBq3EIvACE8AT+VFMlMFjt/vR09PD7xeb0paUuH7TfS4xEiwjwm/rNdqtQotLX7o\nk4+UWM6bmpiqHmL0wUm3+AUuDbx1uVzCknS73Q61Wi18fhczzPT7/RHfI2pRkcC5bAn3tonngryY\nD02kBPBUks6beTRx5XQ60dHRgZKSEqxcuXJJbnDZvopqKZFKpSGrXLxeLywWi9AeVSgUwvxOvE/I\nlzNiEmtAZq4KC/aP4tuxfHDo0NBQyPwZnxge/J4s1KIigUNcVkTztomHaDM4CyWAp5JMq+BMTU2h\nv78fmzZtWhJBF22/RHTkcnnIDATfEhgZGYHNZhOekPmB5VTexMUkCqhFtfxECg7l58/44NBgwRPt\nnMjJmATOZcVC3jbxEElgLJYAnkoyxcmYZVn09vbC6XSitbV1SZ15wwVO+E2UBNDChLcE+Cfk/v5+\nuFyukIHlZIMXxSRwxNiiyrbzCZ8/4x3C+YF7h8MBqVSKiYmJkEgUp9N52c/gZNc7TSQMy7Jwu91J\nixsgVODw0QNdXV2ora1FeXn5kl/cM2EVlcvlwpEjR6BUKtHQ0LDksQOxrKIiYoN/Qi4vL0dtbS1a\nW1tRXl6O+fl5dHd348iRI+jt7cW5c+cS8nsSE2ISa4A4zod3CF+5ciXq6uqwdu1a6PV6eDwe7Ny5\nEyaTCWVlZbBYLHA6nTCbzdiyZQvWrl2LLVu2wGKxAADefvttGAwG1NfXo76+Ht/+9reFfbzxxhtY\nv349qqqq8MQTTwg/HxoawhVXXIGqqirceeed8Hg8AAKrxO68805UVVXhiiuuENyeAeB73/seqqqq\nsH79evz+979fnl/SBUjgiBy+auN2uwEExEmyX3Be4Hi9Xhw/fhw2mw2tra0Jm9hlEwzDwOPxoL29\nHevWrUNlZeWyXzCj7Y8qOInBJ02vWrUKDQ0NaGxsRH5+Pubm5tDR0YGjR49iYGAAZrM5JnsEMdxE\necR0LkD0FUfZDMuyUKvVqKiowCOPPII33ngDRqMRZrMZX/3qV1FTUwO73Y4nnngCH/jAB0IEy9VX\nX43jx4/j+PHj+Na3vgUgMNPz8MMP4/XXX0d3dzdeeukldHd3AwAee+wxPProo+jv70dubi52794N\nANi9ezdyc3PR39+PRx99FI899hgAoLu7GwcPHsTJkyfxxhtv4KGHHorLYiRZSOCIGN7bhl8llaoL\nlUQigdvtxuHDh1FSUoKNGzeK7qIRCd6JeX5+Hi0tLULkwHIghqiGbIHPIVqzZg2amppQX18PvV6P\n8+fPo729HceOHcPw8DBmZ2cjzoKJSRSIcQZHTOcDhA4Zf/CDH0RRURG0Wi0UCgXeeOMNGAwGfO1r\nX0NHRwfy8vLw2muvLbi9w4cPo6qqCqtXr4ZCocDWrVtx6NAhcByHP/zhD7jtttsAADt37hS2dejQ\nIezcuRMAcNttt+Gtt94Cx3E4dOgQtm7dCqVSicrKSlRVVeHw4cNL+NsIhWZwRAo/SByrt02s8C0p\np9OJq6666rIZYpufn0dHR4ewimG5jeVIwKQPmUwW4lIbbtrGe5iYTCbRfR9oBifziXZO8/PzyMnJ\nwfT0NG699Vbceuut4DgOjz/+uPCad999F3V1dSgtLcUPfvADbNy4EWNjY1ixYoXwmvLycrz//vuY\nmZkJ8ZgqLy/H2NgYAIT8H5lMBoPBgJmZGYyNjeHKK68M2Rb/f5YDEjgiI1Fvm1jgE8C1Wq2wrPFy\ngA8Hra6uRl5eHs6dO7fsx0AVnMwh2LSNn8cKXtLr9/uRk5MDuVyecN5apiCmahQgToHj9/ujzgCG\nn2vww25jYyPOnDkDrVaL//7v/8Ytt9yCvr6+JT/e5URc7/RlDh+SmeqWFBC4yR89ehQVFRVYv359\nyrabyXAch4GBAQwMDKCpqUnwWMlUSOAsP7yHSVlZGTZt2oTW1lao1Wr4fD709PTg8OHDOH36NKan\np7NyYJkETuaz2DkVFRVhYmICADAxMSFYJ+j1emFu8uMf/zi8Xi/Onz+PsrIyjIyMCP9/dHQUZWVl\nyMvLg9Vqhc/nC/k5gJD/4/P5MDs7i7y8vKjbWi7E9U5fpvBVG7fbnZBx30LwS6EHBwfR1NSEgoIC\nUV3wouHxeNDW1ga/34/m5ua0P4nHUsEh0g/DMJDL5SgtLUV9fT2am5tRVFQEu90uDCz39/djZmZm\nWYctE0VsMytiFDjRjP6AwOfxpptuwr59+wAA+/btw8033wwAmJycFK4phw8fBsuyyMvLQ0tLC/r6\n+jA0NASPx4ODBw/ipptuAsMwuPbaa/Hqq69esq3gfbz66qu47rrrhH0fPHgQbrcbQ0ND6OvrQ2tr\n65L+PoKhFlWWE96SSuXFKJUJ4NmExWJBd3c31q5dKzztpBtqUWUPwVUPiUQCo9EIo9EIIPB0a7Va\nYTabMTg4CKlUKhi26fX6jLv50gxO5hO8Muzee+/FO++8g5mZGTAMg927d+PrX/867rjjDuzevRsV\nFRV45ZVXAASEyDPPPAOZTAaVSoWDBw+CYRjIZDL8+Mc/xg033AC/34/77rsPGzduBAA8+eST2Lp1\nK775zW+ioaEB999/PwDg/vvvx/bt21FVVQWTyYSDBw8CADZu3Ig77rgDGzZsgEwmw9NPP72sC1KY\nOC+KdAXNIPiWVKoHiYHFE8D/+te/4qqrrkrZ/uJlKfbPcRyGh4cxPT2N2tpaqFSqZdv3YszNzeHM\nmTPYvHnEvY2lAAAgAElEQVSzsDou+P12Op0YHBzEpk2blvW4UsnIyAhkMhlKSkrSfShJ0dXVhdWr\nV8c0o+bxeGCxWGCxWDA3NwelUikInkyIlDhy5IioHm7Edj4AcOrUKZSXl0On0wk/8/l8uO6663Ds\n2LE0HtmSEtMbSBWcLCQ4biHVg8RLlQCeaviKRaouVF6vF52dnVCpVGhpacm4pzyq4GQP8XwuFQoF\nioqKUFRUBADCwDIfushb8vOREulATGIAEN/5RGpRuVyuy97FGCCBk3XwT++pnrUBljYBPNUwDJMy\n067Z2Vl0dXVhzZo1KC4uTsHREZczyQhNlUoFlUolhC7yGUS9vb1wu93Q6XSC4MnUhw9ieYnUdnM6\nnWkTxJkECZwsgmVZmM1mnD17Fhs2bEipAFnqBPBUw7spJyNwOI7DyMgIxsbGUF9fn9FPPFTByS5S\n8d0MzyBiWRY2mw1msxldXV3w+/0wGo3Izc0N8SchLi8iVXAcDsdlY+OxEPSNyALCB4n51lQqSCYB\nPJ1LSJO9oft8PnR1dUEmk6G1tTXjnZhJ4GQPS/W9kEgkMBgMMBgMqKyshN/vx+zsLMxmM4aHh8Ew\njDC/YzAYMq7NSiwNkSo41KIKQAInw+Ezn/iWlFQqjWgPnwjJJICnooKSDJESzWOFP+9Vq1ahtLQ0\nxUe2NJCAyS6WQ/jzkRL8IgCv1wuLxSIsEFAoFILg0el0Gd1yJhInmsChFhUJnIwleJAYuOhAKZVK\nk/bPCG7N1NbWJhSSma0CZ3R0FGfPnk34vDON4BV0JIAyg3S9D3K5HIWFhYK1wfz8PCwWC0ZHR2Gz\n2aBWqwXBo1arSfCIiPD3klpUAUjgZCALedskU7kAAk95XV1dUCgUSbVmkj2OZIn3hu73+9Hd3Q2O\n4+JuxWUCHIAJmw9TJ6dwasKG7ok59Eza8eG1JtxcW4yNRSoSOBlCprj/5uTkoKSkBCUlJeA4Dk6n\nExaLBYODg3A6nSEDy0qlMt2Hu+RcTt8Pp9NJAgckcDKO8JZU+IUymQqO1WrFyZMnU7JaKN0CJ579\n2+12dHZ2ory8HOXl5Sm5+SzlTczjY9E3bcepSRtOTdhwatKOnkkbHB4/gE5IGQaV+So0rjTgz/1m\n/PfJc/jRrdUQ/y2KSBSGYaDRaKDRaFBeXg6O44SB5e7ubvh8Puj1ephMJhiNxqjZRtlMpgjP5cDl\ncomiQp0sJHAyhFi9bRL5gnIch6GhIZw7dw4NDQ0pUfbpFjixVnAmJiYwNDSETZs2Qa/Xp3TfqbhY\nWp1e9EzZ0HNByHRP2jB4zgEfGzg3tUKK6mItPrm5EFqvFX9z5WasLVCD4fxgGAbTNjc+82IHvvjL\nU/higwINSR8RkSzZcCNlGAZ6vR56vR6rVq2C3+/H3NycsEqT4zjk5ubC5/MtGAWQTYjRxTgaNIMT\ngAROBrCU3jZ8ArhOp0upgV26Bc5i+2dZFj09PfB4PClvSUkkkrjL3SzL4azFhZ5JG3om7QFRM2nD\nxKxbeE2hTomaYi2uW5eP6hIdNhTrsCJXBYmEgcfjwYkTJ7C5TH/h8+IX/s+e7XX47Isd+GGbExWV\nM/jI2swOBRU72SBwwgmOjAAuRkqMj4+jvb0dMpksZGA5G4WCGAVOtOsQzeAEIIGTZpYybmFmZgY9\nPT1Yt24dCgoKUrZdIDMETrQvt9PpREdHB0pKSlBTU5Pym81i1SOH24feaTt6JgNtptOTdvRO2+G8\nIEqkEgaVeWqsylNjcs6N1flqPHNXPSryErsg5WkUeG7bJuzccxRffrUb//qpGnysOj+hbREEAMhk\nMuTl5SEnJwctLS1wu92wWCwYHx+HzWZDTk6OIHg0Gk1WCDoxChy/3x/xnFwuV8qv+dkICZw0ET5I\nnOq4hf7+fszOzqKpqWlJkrDTLXB4J+Nwpqam0N/fj40bNwoBh0u1b47jMD47H6jITNpweirw91mL\nC7z+0eXIUFOsxa0Npagu1qK6WIe1BRoo5YGS/++7p/CVX3bhq7/qwu7tDTCoIs8+BIsqjuOEEjR/\nYzGqFfi7ZiV+dlqOr/26G9+9uRof35gZQaGXG9lYwYlE8HkolUoUFxejuLhY+PxZLBYMDw/D4XBA\nq9UKgidTWyNiFDjRVrJSiyoACZw0sJQtqeVKAE+lH08ihAsslmXR29sLh8OxJBlaDrcP/eccOD1p\nx5+7XJg5cRynphxCVQYAKkwqVBfrcHNdCaqLdagu1qLUkLPge3DDhiI8tVWCR17uwM69bXh+RyNM\nmkuPnRc4Pp8PJ0+ehMvlgtfrhUajEQZD1XIGz961CV945SS+/loPPD4Wt9RR9MRyI5bVOvz1KRyG\nYaBWq6FWq1FWVgaO42C320MiJYIHljMlUkKMAifafJTD4SCjP5DAWXZ8Pt8l3jaJEOkpcbEE8FQi\nkUiS9uNJhuCKxvz8PE6cOIGCggKsX78+KVHHshxGLC70TttxetKO01OBykxwVSZHCqwvVkIqYZAj\nk+CbH1+Pj28qgkaZ2NfpuvUFeGZbPR5+6QR27m3Dnp2NyNeGroliGAY+nw9HjhxBeXm54HXicDhg\nNpvR29sLu92O0eEBfPtjxfjOHxj80+964fGxuKMpO8wMxYRYKjixCAKGYaDT6aDT6bBy5UqwLCsM\nLI+OjoJlWRgMBphMJhgMhrRZNIhR4EQ7J5fLRTM4IIGzbCzkbRMv4SZ76UgAT3eLit//uXPn0Nvb\nm5Com3V50Ttlx2nhjw190xerMgwDVJjUQlVmfbEW64t0mB46hQ01NTC7gZ172/G93/diTYEGjSsT\nb4ldXZWHZ++ux4O/OI579rRh385GFOkvthbPnTsHh8OBK664Anq9Hh6P55KsoiNHjqCwsBBmsxn3\nVrnhckjxnTf6YbU78Jmr14ju4p7JiEXgJHIeEokERqNRaBH7fD4hUmJoaAgSiURoZ+n1+mX7XMYq\n2LKJaBUcimoIQAJnGVjM2yZeeC8cqVQKh8MhDNQuZwJ4ugUOwzAYHx+H3+9Hc3PzgkZlHh+LwfMO\n9E7b0TsV+NM1bsOMwyO8xqiSY11RYFZmfZEW64u1WFughUpx6cVj5kxgwLnMqMaL9zVhx9523H/g\nGH52dz1aVuUmfE4fWG3Cc9sb8cCLxy6InCaUGJTo6+vD3NwcNBoNDAZDxBsP/7nibxxr1qxBXZ0b\nX/t1N556ZwJjk+dwa40WJpOJnGyJmEjVLBE/sJyXF1jd5/F4YLVaMTk5id7eXiiVSuFzq9Vql+xz\nGa3lls1EGzImo78AJHCWkPC4hVQv0U5nAng6BY7b7cbo6Ci0Wm3InBHLchizutA77QgImQuCZnjG\nKfjKyKUMKvM08PpZKGQSfO1jVfibjUUo1ClivvgFDzgX6XNw4N4m3LuvHZ954Rh+uq0eH1ideHuw\nucKIPTsacf+BY7jn+SP4WrMCa0tMaGxsxHvvvRfXttQ5Svzn1np887en8euuaeTmqXBrLofBwUG4\nXC7odDpB8GTKnASROSyVIFAoFCGREvzA8tmzZ2G326HRaEIGllN1DGJtUUWq4DidTqrggATOksFx\nHLxeL/x+f8oHiRmGwalTpyCRSNIWO5AugcMvfZdrczHqlaPr/RFBzAS3lwCgzJiDdUVafKy6AOuK\ntFhXpMWqPDXkUgnGrfPYsbcNP/rfAWwu06NIH7sPcPgy8UKdEvt3NWHX/nZ87sXj+PHWWnx4beLL\ntOvKDXj61nV48JVufO99FgfuK0v4wiyTMPi/n1wPpVSC3e9PgGXK8eh1m0KcbMfGxsCyLIxGozAn\nIQZjNyI5lqulo1KpoFKpUFpaCo7j4HA4YLFY0N/fj/n5+ZBIiWSEuBgFzkLLxEngkMBZEpbS28Zm\ns8FisaCiogJr1qxJW8lVIpEIlamlxD4fWL3UO2VDW/84+s45cMYG2N1TwmuMajnWFQbaS+sKtVhb\npMHaQi20Cwz9lhpzQtpLP7+nHs0VsbWXIvng5GkV2L+rEfftP4aHXjqB/7yzFtetj9+HguO4wGDm\nzCiev6cOD77SjXueP4q9Oxvj3haPVMLg8b9dC7mMwZ73RuH2sXjs+jUwGAwwGAyorKwUjN3Onz+P\ngYEByGQyIal6KdsGROaSjuXu4XNlLMsK17yTJ0/C5/MJA8tGozGuhzsxChyq4CwMCZwUspTeNsEJ\n4Hl5ecjPz0/rTSfVFZx5rx8D5xzoO+dA35QdfRcqMuOz88JrFFIGq/LUcLgdKNbK8EBrPrY0rkWB\nNvb2UjB8e2nn3jZ85sAx/PTuelxZuXh7KZrRX65agb07A+2lLx7swH/cvhnXb4jdiyY8EFQqleKF\ne5uxc18btu9tw5frEq+qSBgG/3hDFXJkUux7PyByvvXxtZBc+L3JZDLk5+cjPz9QeeKTqPm2Ae9z\nYjKZlsRXSUyIZZl4Jvj5SCQSQYjzkRL8wPLw8DAYhgmpPC50zRWjwIk2ZDw/P39ZBKguBgmcFLGU\n3jbhCeC9vb1pHfAFEhc4Xj+L4Rkn+qbt6J1yoP9cQMicNTtxYUwGcimD1fkaNK404CadCXLneXxo\nUyVq15RDImHw++4pPPrLTrzSacFNV0iT+l0X6pQ4cG8Tdu1rxwMvHMcz2+rwwTULRx0s5KJsUMmx\nZ0cjPvvCMXz5l534wa0b8fFNi3vROJ1OnDhxAmVlZVixYoVwTmsKNAGRs7cNTx6Zx6bNc9hQokvo\n5sMwDL760UooZAx+/pcRePwsvv2J9ZBJLt1OeBI173PS09MDr9eb8FM0kT1k4lCuVCoVKotA4Npo\ntVoxPT2N/v5+ofLIR0oEH78YBQ7LslG/f2I710SgK1MK4Ks2S9GSipQAnm4PGv4YFhI4Xj+Ls2YX\n+qbt6D/nQP+0A90TcxizzgsDvxIGqMhTY32RFp/YXISqQi3WFWqx0qSCTMLgzJkzmJycRO3VzSEr\nAm7YUIRvXz+Lx988i3v3t+P57Q3QR3EAjoV87YUZmn3t+PwvTuDHW2vxkQVmaBaLatDlyPDc9gZ8\n/sXj+OqrXfD6OdxcVxL19fxS92juy6vy1HjhvmZsffav2LmvHc/dU4+awsRcShmGwSPXVEIpk+DH\nfzwDj4/D925eD7k0+sUw3Ock/CmaX/ZrMpmyNqcolWSaKEiUbFhWLZfLUVBQIMQSuN1uwX/HZrNB\nrVYLA8t+v190Kel+v/+SSk0mVN4yBRI4SbDULaloCeDpdhEGLgqcECEz7QiImXOBlUtef0AEMAxQ\nblRh1uWFhAG+eO1qfKy6AJV5aiGyIBiv14vjHV3IyclBa2trxN/rh9cY8Q8fduGJP5/Hrv3teH57\nI4zqxC9eJo0C+y7M0Dy8yAxNtJiIYLRKGX52TwMe/MVxPPabk/CxHG5tCDXc4zgOAwMDsFgsi/oX\nrchV4estSjzVxeDe/cfw9B0b0VyRuO/O5z5UgRyZFD94axAeP4sffKoGCllsn9/wp2iPx3NJThH/\n76lcBUMsL9l4o1QqlSGVR6fTCYvFgsHBQczOzgrxBSaTSRQtnGhDxtn43i0FJHASJNXeNsEslgDO\n++AsJ14/izMzzovVmDELeqdsmHSMXSJkqgo1uGZdPqoKtVhboMHqfA1UCqmwcmnPX8/gg2tMEcXN\n7OwsTp48idWrVwsVq0gwDIPWMhWe3lqHL7zcgV37Ag7AuerEV1kEz9A88nJghmZLzaUzNItVcHjU\nCimevbseDx/swDde64bXx2JrSzmAgIjr6OiAVqtFU1NTTOI4TyW50E5rw4Mvd+HHd2zEFUn47uy8\nshwKmQTf/X0/HvnlSfzwtg3IifCeLIZCoUBRURGKiopCbir8Khjetj83N1d0T9BiJhNbVPHAMAw0\nGg00Gg3Ky8sxODgImUwGj8eD7u7uS1qt2fjZjDZkTAQggRMnS+VtwxNLAvhSLtF2e/0YmnFi4JwD\nA+cCFZlTkzaMB7WWGAYo1StRopHixtpyrCnUhAiZaJQac/DCvU3YvrcN9x84hufuaRDcf4OHqOvq\n6hZdAcD/Dj5SnY+f3FWHh146gZ1727F3Z+Qsp1jhZ2g+c+AYvvRKJ/7ttk24cWNRyGtiFTgAkCOX\n4idba/GlVzrx+O964PWzuHmDEZ2dnaiqqkJRUdHiGwmiSK/E/l2N2LWvHQ+/fBI/um0DPrgmcd+d\nu5pLoZQx+Of/rw9feOUk/vP2jVAv8B4uRvhNJdi2f2RkBBzHCe2sxYZCifSSDS2qeOA4DhqNBnl5\neaioqADLspidnRWG6TmOyzqrhEhDxj6fj+biLkC/hThYSm+beBLAU1HBsbt9GDzvwOAFEcMLmhGL\nSxj2lTCB1ojF6YVUAjz8kdX4yLp8rM7XwOd2YmhoCLW1VXHtt9gQEDkXl2c3oL5Mi5MnT0IqlQqr\nhxYjWORdXZWHZ7fV4fO/OIEde9uwN0KWUzzocmTYvb0Bn33xGL76ahf8LIdPbL5YTYpH4ACAUi7F\nf95Zi6+82ol/eb0XfYMKPHZzU8LLOAt0OXj+njo88IsOfPGXJ/Hvn96Aa9YtPBi9EJ+uL4FcKsE3\nf3san3+pEz/ZumnBJfbxEMm232KxCLlpCoVCaGeJZfWRWBBbmyN8yDg4MgLAJVYJUqk042fLIg1O\nUw7VRUjgxAjvHJyXl7ckCeAdHR3Iz8+PKQE8Hg8aq9OL/nO8kLFj4LwTA+fsmJh1C6+RX1h+XV2s\nwyc2F2NNgQZrCjTCjMyIxRUIgXz3LD68Lh8qhRQOb+JVpCJ9DvbvasLOfW34zIF2fKlejusbVqOs\nrCzmbYSLjKvWXMxy2rG3Hft2NqJAl7jI0ebI8Nw9Dfj8L47j737VBR/L4ZYLg8ILraKKhkwCfHaj\nFPY5JV4+7UZZ2zQ+9+HKhI8vVy3Hc9s248GXT+LRX3Xj+5+qRuITOcAnNxdBKZPgsdd68MAvOvHM\n1k0wJDG4HQ2ZTBYyFDo/Py8MK1utVkHYZ/OMhFiEmtgEzmIVqXCrBI/HA7PZHDJbxgsijUaTEb+b\nSBUch8MhzBpd7pDAWYTgQeK+vr6obaNEmZqaQn9/f1xhkeEVHI7jMDHrxuD5QBVm8HzgT/eEDXb3\nxdflyCVYna9Bc0Uu1uRrUFUYEDIrclULrqJZkavC/l1N2LG3Dffua8fzOxpRZZIn1SYr0ivx/b8p\nxSO/GcAPj3mxYaMKscubyG26D6w24Wf3NOBzLx7H9r2BLKd4HIrD0Shl+NndDXjwpRP4+m9Owudn\ncVtjWUxDxsHwAraoqAg/v68G3zh0Cv/+1gC8fg4PX1OZ8IVSr5LjZ9s246GDXfi7X5/C/ZvkaElo\nSwGurymAQirBV37djc+82IFn79qcVLsvFnJyclBaWorS0lKcPXsWPp9PmJHw+XwwGo3CTSUbWgZi\nQmwCJ9pAbjQUCgWKi4tRXFwMjuOESInh4WE4HA7BG4qPlEgHkWZwyMX4IiRwFiDc2yaVsCyLnp4e\nzM/Px5wA7vGxOGN24vjgHHrGrZg90YXBcw4MzThDIgr0OTKUGHJgd/uxOl+Nr36sCuuLdSgz5EAS\nwfMkFspzVThwbxO272nDvfvb8ezWTeASFDh+vx+nTp0C5/fj4AMfwP0vnMADLx6PK8cpWpuodVUu\nfn5PAz77wjHs2BtI5S42JG5Mp1JI8dNtdXj4YAf+8dAp+FkOrXmxt6j4maoNGzYIpfAnPrURMimD\np94ehNfP4ssfTdyRWquU4ad3bcYXXunCzztnsaJiErfULe67E41r1uXhqds34kuvduO+Fzrw3N21\nyNcuT04VwzBQqVQoKSlBRUUF/H4/rFarcFORSCRCOyvc4ySTyNTjihex+cYkI9gYhoFarYZarUZZ\nWVmIN1Rvby/cbjf0er0geJYr2y2SaHM6nVTBuQAJnAXgOO6SVVKpeKoJTgCvqam5ZHtzLi8GzzvD\nKjJOjFhc8LMXb6ylBjdW56vRVFGK1fkarM5XY02BBnmagLPvwSOjePx3PXilbQxP3VmbsLjhKTMG\nRM6Ove144KVOfK05B80Jnnt5eTnKy8vBMIzQrvrci8fx0211uGoRoz1g4UHr5gojnt/REAis3NOG\n/buaUGpMXOTwg8KPvNKJb/22Bw9fmY9baxeu5PHL/M+fP39J2rlUwuD/3rQBcokEP/3zMDx+Dn9/\nfVXCnyu1Qoqn79yEe3e/i3/6XS+8fg63N0b33VmMD64x4Zmtm/Dwy12498AJ/PzuWhQnUQlLFKlU\nekkKdbjHSfBydCK1iK2Ck0rBFu4NxQ/TWywWjI2Nwe/3hwwsL9XQbzSBQzM4AUjgLEC4tw3fGkrm\nw8ongFfXbIADSvypfwZDF8TM0HkneiZtmJv3Ca/n52PWF2lx48YirC5Qo1DJQuYyo7l+84L72tpS\nDoYBvvXbHnzx5Q48dWdtxKXZ8VBmVOHAribs2HsUT77vwIYNs6grjy3JfGJiAkNDQ9i0aRP0er3w\n80COUxN2XjDa+8lddfhQVeJuwgDQsCIolXvPUezf1YTy3MRvgkq5FE/dWYsv/7ITT793Dhwk+FKU\nmSGv14vOzk6o1Wo0NzdHvKhKJAz+zyerIZcyeP6vZ+D1s/jHG9clfENRyaV4pF6BF8+o8e3X++Dx\ns7i7JZ6mXygtFUb8bNtmPHiwC7sOnMDuu2tRloRITAXhLQOn0wmz2RzyBE3L0VMHCZzYCR6mr6ys\nDKk+Dg0NCf9uMpmg1+tTehwkcKJDAmcBwr/ciQgc+7wPgzMODEzZcOT0CMZsXsx45DjzVjs8vosV\nCKNKjpUmFea9fhhVMjx2w1o0rsxFuTEHsrD5GJvNhqGhmZj2f2dzwHcllSKn1BgYEr7jp3+94CTc\niPoV0UUO345zu91oaWmJePMxaRTYt7MR9+5vx4MvncDTiyRyxzIHU1duwJ4djbhvfzu272nD/l2N\nWGFK/IuvkEnww9s346EDh/GT96ah0Q3jMx9aFfIam82Gzs5OVFZWoqRk4SoKwzD45scDLsJ73j0L\nr5/F439bnXClTS5l8MPbNuDvfnMKT7w5AK+fxa4rVyS0LQCoLzfguW21eOClTuzcfxy776lDhSkz\nKiXBy9H5UMbg5egAYs4oIiKT7T444Sxnyy1S9dFqtWJychK9vb3C6sHc3NyUh9lS0OZFSODEQbTl\n2X6Ww/jsPIYutJKEv2ccOGfzCK/jl12vLlDh6rX5WJ2vRuWF1hI/zHl8ZBb3HWjHT/80jAP35l0i\nboD4fXCCRc4XXu7Aj1MiclT4eqsSP+pkcN+Bduze3oCGFZeu43E6nejo6EBxcXHEdlwwJk3AaO/e\nfe146KUTeHprHT6yLrLIifV3sLlMj707Aw7F/OBxRV5yIuebHy3Dd/8whn/9//vhYzl8/sJqKL46\nV1tbC61WG9P2GIbBYzeshUImwbN/HobXz+E7N9VAmrDIkeBfP1WDb/zXafzbW0Nw+1h87kMVCW1r\nxuHBObsHW6rzcahjCtv2HMP+HXVYU5B5F8/w5ejBGUV9fX1QKpXCDSVTVsBkOhzHiWqwO50zRQqF\nAoWFhSgsDBiH8qsH+TBbjUYTMrCczOeTlolfhATOIgQPs0YSOCzLoum7b8PlvXizNahkWJ2vwYfW\n5MEk80Ltt+EjDdVYX5a3qB1+/QoDdm8PzI/s2NuO/bsaUaQPbQ0k4oOzFCLHlCPBC/c2YvueNty3\n/xh2b79o3AdAuLlEy1iKRMBNuAn37W/HwwdP4Kk7a3FthMiEeJZqbyzVY9+uRuzc135B5DSiMj/x\nm7RcKsFjHy6CXqfFf7w1AK+PxUeL3XC73WhtbY27hckwDB796BrIpQx+/PYQvH4W37tlQ0RxG+vx\nPXFzNRRSRsib+sJHKha8aM57/Tg1aUfHuA1d4zZ0js1h7IKVgJQBVppUmHF4ce8LgdVVNcWxCbh0\nEZ5R5HK5YDabMTQ0BKfTCZ1OJ8zvpHoglJaJZyaZNDQdvHowuN3Ku3/rdDpB8MRrl0AtqouQwImD\nSMLi1KQd814Wq0wqfOsT1agp1iFXLYfP5xMSwKurr4rrSahhhRHP3dOAz7wQWeQk6mR8Z3M5GDD4\np9+ewsMHO/D01uRFTpE+Rxg8vv/AMTy3vQEN5Xr09fXBbrfHvEIsGKNajj0Xqi5ffLkDP7qjFh+t\nDhU58S7Vri7WXQjUbBMqOYlWIhiGgYQBnvzURjAcix//cQjna414/FONCV9AGYbBF69dA7lUgv94\nawA+lsP3P71xweX7CyGVMPjOJwPtr5/9JdD+evS6wJJ0luMwPONC5/gcOsds6Bi3oW/aIThVF+uV\n2Fyqw9bmUmwu1aOmWAu1QoqzZhc+82IH7n+xAz/dugm1ZfpFjiJzUKlUKCsrE1bA2Gw2mM1mdHV1\nhQyEGo1GUVUtkkFsAidTzydSu9Vms8FisQh2CQaDQRA8/ANUNCHtdDpjriCLHek///M/x/P6uF4s\nBoIFjdlshkqlClHHhTolVuWr8Wr7OMZn3fhUfSmc9jkcP34cK1euxOrVqxO66ZUYctBSkYuXjozi\nzVPncH1NYYi77OjoKMrLy+Pe7sZSPYp0Sux97yy6xm24YUNhwpWCkZERrFixAlqlDNfXFOLNU9P4\nxeERaJwTqCw0YMOGDQkPZOfIpbhxYyH+OmjGgfdHsK5Qi9VBgoRhGGH/sZKvVeCatfn4zfEJ/Ob4\nBD6yNi8hnxe73Q6v1wsGgMk1Ck5lwK+7LHD7WFy12pTURbS5IhdqhRR73z2L/mk7PlZdKLSrRkZG\nhJVn/OcyeF/j4+MhZokMw+DDa02YmHXjYNsE/tRvxu+7z+HJNwew7/0x/KF3BsMzLqzIVeGGmgLs\nvKIcf/+x1fj81RW4YUMB6ssNKDXkCCLLoJLjo9X5ePPUObzcPoH6cn1KB4/n5uYgkUig0+lSts1I\nMAwDpVIJo9GIkpISFBcXg2EYocIzPT0Nt9sNiUQChUIR1/vJcRwmJibiMq3MVCwWCxQKhWjmOcK/\nH9JzaCIAACAASURBVJkKwzDIyckJ+XxKpVLMzs5ieHgYExMTcLlc4DgOFovlknN65513UFhYiLq6\nujSdwbLwf2J5UWbU67KEaK2hT2wuxvc/vQlHz1iwa/e76OjuQUNDw4JhkbHQuNKI3dsbMG1zY8fe\nNkzNBVoGyWZR3dFchn+5qQZ/7p/Bwwc74PYmH9xZpFfiRzdXwiDn8O9tbpiluUk/LelVcjy/oxEb\nSnT40iud+H33lPBviW67qlCL/buawDDA9r1t6J2yJ7Qds9mMvr4+tDQ34/u31eOulnI895czeOL3\nfUm3KO7/YAX+8cZ1ePPUOTzySkfIMPpi2Oe9OHLGiuffHcFXftWNG358GIc6Ar+3kxN2nJqy4/qa\nAnz7b9fhNw804S9fvQrP3V2LL11bievW5y/q/lxqyMG+7XUo0Svx4MEu/GXAnNS5ZgL8QOjatWvR\n0tKCDRs2QKlUYnR0FIcPH0ZXVxfGx8fhcrkW3ZZY2lOA+LKoshWpVAqTyYQ1a9agubkZtbW10Ov1\nmJ6ehtPpxLFjx7Bjxw5UVFSgtbVV8MExm83YsmUL1q5diy1btsBisQAIvK+PPPIIqqqqUFtbi/b2\ndmFf+/btw9q1a7F27Vrs27dP+HlbWxs2b96MqqoqPPLII8LnPJF9LCdUwVkElmWFN3N2dhZSqTTi\nE+Yqoxywn8d/D7gw7dfgk3XlCbcXgikx5KBlFV/JmcYNGwKVnHirF+FsLNWjWK/E3ncTr+Twx8Bx\nHPr7+zE3M42dH63D//aZ8dKRMTSuNKLMmNyqG6VMghs3FuH9YQv2vzeC1QUarC3Uhuw/XkwaBa5d\nl49DJybxq2Pj+FBVXszZVT6fD6dOnYLP58MVV1wBuVwOhmHwkbV5mHX5sP+9Ecy6fLi6Ki8pgVdX\nbkC+VnHh/ZnD9RsKMTkReALl23Menx89kw78b+8MDraN44UTs/jRH0dwqGMK7w1Z4fGxqCvT45a6\nYjzwwRUwqmV4f3gWVQVqfP7qCuRrFZAkcIwapQzX1+TjnQEzXjw6jrUFGlTmJ9/zX64KzmLIZDLo\ndDoUFBSgrKwMGo0GDocDY2NjwlAox3FQKpWXCACO4zA5OYnS0tI0HX3qiFSxzmaypYKzGFKpFBqN\nBnq9Hna7HTU1NVAqlXA4HDh8+DBmZ2fh8/nw+uuvo6mpCa+88grGx8fxP//zP9iyZQtef/11vP76\n63j//ffR2NiIL3zhC/jsZz8Ls9mMu+++G0eOHMEDDzyAbdu2YceOHVCpVLjlllvwzDPP4Mknn8RT\nTz0lPBA8/vjj2LhxY8z7SCExVXBoBicOolVweLfabR9ch4pKH77+m5N48KUT+Om2OuQkOeMCAE0r\njYI77/Y9bThwb1PS2wSA25sCX/Zv/tcpPHSwAz9JYCZnfn4enZ2dMBqNQo4W72nzwAvH8Ozd9bii\nMvG0a+BCLtT2wPl/9dUucByHj29KrjpWma+5EPrZhp1727FnZwM2lCw8U2K329HR0QGTyQSJRBJy\nc2MYBv9447oLvjbJL/kGgLtayiGXMvjmf53C5148jo+Xspg8MYGTE3acGLXi1KQdXn9AfJvUcqzQ\nMLi5cQVqy/TYWBKYBQumaaUROqUcT/1xGPNeFk/eUp2wCDdpFHju7lo8dLALX/lVN753czVu3FiY\n8LlmKgzDQKvVQqvVCoZus7OzMJvNOHPmDBiGEQIZ9Xp9xs55JIKYzkWM8DlUSqUSN910E+rq6tDb\n24tNmzYhJycHBw4cQHl5Obq7u7Flyxbs2bMHTz75JA4dOoQdO3aAYRhceeWVsFqtmJiYwNtvv40t\nW7YIkUFbtmzBG2+8gWuuuQZzc3O48sorAQA7duzAa6+9hhtvvBGHDh3C22+/DQDYuXMnrrnmmgX3\nsZh1RqohgRMH4QInUgL4LQWBC8M/vNaNh14KmNalQuQ0VxhDIgge2ZSaUngyIodlWRw9ehTV1dVC\nQB0AFOiU2L+rETv3tgfcie+ux5XJihylDD+/kDP11Ve7wHJAclsEKvLUQrL5rgsZW5tKI4ucyclJ\nDA4OYvPmzXC73ZiZudSHiGEY/P31ayGTSPCzd4bhYzl855M1cYscjgvYDnSOzWF4xonV+Rq8N2TB\ne0MAcApqhRQbirXY1lyKzWV6bC7VoUSvRHt7O+rrVyw4JPvAh1YiRy7Bv/7PILy/6sYPPr0BykVW\n9kXDcCEL6wuvnMRjr/Vg3sfiU0nERGQD4QnUXq8XFotF8DdRKpVwu91wOBxQq9VZLRDE5oMjNqKt\nCmMYBtu2bcPzzz+PkydP4vjx47BarZiaCrSqx8bGQirf5eXlGBsbW/DnwfOe/M+BQJYiL1qKi4sX\n3QcJnAwj+AsulUrh8QR8bRZKAP9UfSk4DvjGoW48fEHkJLtaCQgVOd8/wqKl2Z1UYjYPL3L+6bex\niRw+hmB+fh5XXHFFxJZCvlaJfbsasWvfBZETR85UNLRKGX52d72Q8H3/JgWuSmqLwAqT+sIqsLaA\nyNnegNogZ2aWZdHX1weHwyGYFHo8nqizFgzD4CsfWwOZlMFP/jgEn5/Dd2/ZsKCvzbTNja7xOXSO\nzaFrPPDH7AikxculDNYX6XDVahPeHTRjXZEG+3c1QyNP/Aa044pyKGUS/Msb/Xjklyfxw9s2QJXg\n51OjlOEnWzfhy69241u/68W8l8VdzdnfnokVuVwe4m9is9nQ1dWFwcFBuFwuYbnvUixHX2poBiez\niZQkDkAQ10BAkDc2NgJY+oy04EijTIE+vXHAV3CmpqbQ3t6OdevWYc2ayEGJn24oxb/cVIN3Bswp\nG+QFeJFTD/M8hx1723DO5k7Jdm9vCgwe/2VgBg+9dALzUY7X4/Ggvb0dXq8XBoNhwYt2vlaJfTub\nsDJXhc//4jjeHUx+IFWjlOHZuxvQsioXz3V68Nrx8aS3yQeJGlVy3Lu/HcdHZgEAbrcbbW1tkMlk\naGhoEByYowV98jAMgy9dtwaPXLsar52YwN//OpBEDgAWpwfv9M/gmT8O4eGXTuDD//ZnXP2DP+PB\nX5zAT/80hMk5N65Zl4/H/7Yav3ygBe3fuBa/+lwr9uxsxCNNKgycc+K+A+2wOr0R9xvrkOudTaX4\nzifW4b0hCx462AWH27f4f4qCSi7FU7dvxLXr8vDd3/djz7sjCW8r28nJyYFSqcTmzZvR3NyM0tJS\nuFwudHV14ejRo+jv74fZbI7bxyodiKlFJabhb55oAsflckGr1aKoqAgTExMAAjE5vAgvKysT3L6B\nwIpc3kIh2s9HR0cv+TmAuPex3JDAiQOGYTA9PY2xsTG0tLQIZepo3NZ4cbXSF16ObzXMQjRX5OLR\nRiUmZ93Yua89ZSKHP96/DJrxcASRY7VaceTIEaxYsQLr16+HVCpddDVXnlaBfbuasNKkxudePI6/\nDsQWMbEQaoUUz26rR41Jgq+/1o1fHUte5PBBonkaBe470I63T47g6NGjqKysvETExiokdly5Erc3\nluJ3nZP46A//go/+8B1c+eSfcP+BY/jhHwbQf86B1lW5+Ie/WYdf3N+Mtm9ci98+dCW+d8tGbGst\nR22ZIcQYsqVEgR/dvhF90w7c98IJzDg8C+x9cW6pK8YTN1fj2MgsHnipMyQDLV4UMgn+7dM1uHFD\nAf79D0P4yZ+GRXlTiQX+syKRSGAwGFBZWYnGxkbU19fDaDTi/PnzaG9vx7Fjx3DmzBnYbLaM/F2J\nqUWVSSZ/qSLaOfFOxjfddJOwEmrfvn24+eabAQA33XQT9u/fD47j8N5778FgMKCkpAQ33HAD3nzz\nTVgsFlgsFrz55pu44YYbUFJSAr1ej/feew8cx2H//v0h24pnH8sNtahixOFw4PTp08LTfKxf/Nub\nysByXEgW1GJuxrGwoUCBZ+6qwedf6sDOfQEzwFhXAi3EbY0XZ3IefukEnr6rDkqZBGfOnMHk5CQa\nGhpCyp+xLFfnc6b4MM1nttXhgzEkhi+ESiHFlxqV2D+kwj8e6gbLckKrLVH+H3tnHtfWeabt62gD\ngdDOvu+bDXhfEsfxbidNmjaTpkmTJk6btkk706bLpJNpO/2mM5O2M+3MdE3apDbe4uxJk2bfN2Mw\nGGMb2xjMIoQAgUBikYS27w9ZChgwIOEFxvfvlz+C4XAkjs57nee9n/tJVEWy6+7FfOmxSv7h2VP8\n4dYFY7xFAU30ugccbupNNo51DHD87DZTq+XTtuJOm5O4GBnfWZ9NWaqKBUlKYiJnnni8JlvDo7eX\nct++I3xlTx1//lIJcWe3KWdSwQloW3EcMomI7z93gq/uqePR2xeOMydPV1KxiIc/W0CERMQfP2zD\n7vLy3bPhgv9XdL6qh0QiQa/XB68ph8NBX19fsDNLoVAEt7MiIy/tYFOYX1tU8xFwRldwtm/fzkcf\nfURvby+NjY08/fTT/PCHP+QLX/gCjz/+OOnp6Tz11FMAXHfddbzyyivk5OQQFRXFjh07ANBqtfz4\nxz9m2bJlAPzkJz8JGo7/8Ic/cPfdd2O329m2bRvbtm0DmPHvuNgSZnhDvPweMy6wPB4PbW1ttLS0\nkJmZidlspqSkZMbH2V/Vzr+8fJJ1eXp+MwuQU1VVRWlpKUc6hrh3z2GS1PJZgxyAZ2qM/OivJ1iZ\noeG+BQIxUZEUFBSMuUnU1dWRmZk57bZey9AId5fX0Nw7zB+nMTF8Kn3yyScsXraCb+6v46PGXn52\nQyFfWBo65Hg8Ho4fP47V6eM/KoYwWR0TdoF1mPv44OgZhiP0HD8LNS29w8F/T1JFsiAphuIkpf+/\nxBj+drSTf3u1gbW5upAHnlZXV1NcXExkZCQHGs3c/+Qx9NFSHr+jhARlJLW1tRQVFYXk9fiw0cID\nz9aTqonkz7eXoFeE7hfx+nw8/HoT+6s7uHVJIg9tyZlWO7rBYEAikVySJ73Z0sjICCdOnJhxyJrP\n52NwcJC+vj4sFktwCziQrhxqYGY4OnbsGFlZWfOiTdzpdHLy5Ml5FX5nMplwu93jojKuvvpqampq\n5nsi97Semq7k4EyhtrY2zGZz0INhNptDugEvSFYGc01OdQ2wuTAu5IGK4Hev63Q60mNjWJymZl+l\ngbdP9rClKI4oWfg3w6JEJWqZj32HTBiGRdy9oRSpZOwHxmw2o1Qqp/20KZeJ2Vocxwene9hd2c7C\nZCXpYUz3bm9vJyMtla1FcRw3DbDzQBt6hYyFIYwQGBoaoqamhoSEBBYW5rG1OI63T/awp9KAXCrm\nsMHKnoPt/PqtRv73/Tbea3XwcZOFAaebgvgYbixJ5CtXpfPQ1jzuW5vJdQsSWJquIV0bhVwmpjRF\nRVyMjJ0HDNQZbWwujJtxi3Zgj1sikZAQI2NpmpJnD3fy6nEz1+bpGO7vJTY2NqQbW7pWTmlKDE9W\nm3jrZA/r8/VjkrNnokClyeH2sqeyA5PVydpc3ZSQc7nk4IQjt9tNT0/PjEM+A+nKKpWKhISEYHpt\nX18fLS0tdHZ24nA4QkpXDlWBe0zAezaXFeh2i4+Pv9SnMmuaLJdtx44d3HffffO9cjqtHJwrgDOF\noqOjiYuLC/pNwgnxWpisRBstZecBAw3dg2wKA3K6urqCnRnJajmLUlXsq2rn7ZM9bC2KJ0oWOr37\nfD7a29uRDJgozU1j/+Eu6oy2cWGAPT09KBQK5PLph/nJpWK2FMfxYWMvuw8aWJAUE/J0b6PRSFJS\nElKJmK1F8Zzo9EOONko6phNqKnV3d1NfX09qdj7tDhlv1Hfz3OEOTFYHlmEXHzVZ+KjJgs3hIj8h\nhq0FWjalwC+/uIL712Zx/cIElmVoSNf5YWYyLUjyjzbYWdFGTZuVLUVxM6rkdXZ2otfrkUqleL1e\n4mNkrMrS8NyRTl4+2k2JXkRGUmzIT/spajlL01Q8VWPitRNm1uXpUM5wGy0gQRBYmaFGEAT2VBpp\nsdhZl6c77/U+XwDHYrGEvZCKRCLkcjlarZakpCR0Oh0ej4fu7m5aWlro7e3F5XIhkUiQSCQXZDHr\n6upCr9dfkurRbGtkZASr1Ro0wc4H9ff3I5FIxsyd8vl87Nixg2984xtXAIcrgDMtjd7GOzcTYKYq\nSVahiZL6Zw2ZQ4ec7u5u1Gp1cNJsisYPOXur2nnnlJktIUKO2+3m+PHjjIyMUFZWRmmaliSVf1E+\n0m5ja/GnkNPb20tUVNSMS9hyqR9IApBTnKgkIwTI6ejoCD7pikUCW4riONk1QHmFAbVcQul5IMcy\nNMKh1j72vH+cfYdM/LVV4HcftvPCERMfN1kYcnooSIhhQ0Es3TYnwyNufvn5BXzr2iwWJsiROa1k\npc18O6wwMYZ0bRS7DhqobOlja1H8tCGns7Mz+EQdSNiOi4ngqiwNL9Z18UGbk6uzNcQqQ0+PTlRF\nsjJTw7O1nbx8rIu1uTrU8tCe4AVBYFm6miiZiN2VRk51DbEhX49kkut9PgCOy+WaFcA5V2KxGIVC\nQWxsLElJSSiVSux2ezBd2Waz4fV6iYiImLWtiUDFcD5sdTidTgYGBoLT5eeDLBYLkZGR42aFBSo4\n81xXAGe2FDCUCoJAW1tbWCMSAEpSVKjkEnYeMNBkHmJjYeyMISdQPRm9PRSEnMrQIGdwcJCamhoS\nExPJyckJ+m0KE2P8M4jOgZzJPmDTUeRZyPmoyQ85RSFATkdHB/Hx8cEbsFgksLkwjobuQcorDCgj\nJZSlqjAPODnU2s/fjnZSfqCN/3zzNP/zzhn+WtfJkS4nImkExUlKbipN5KtXpfNPZ7eZrl+YwOps\nHZ8tTeSTM33BoZ9p6gh6enpC9orkxyvIjo1md4WBT85Y2FIUN60wyNFVuwDgCIKAXiFjba6OF2pN\nvFTfy+pMTVgemriYCK7O9kPTi3VdXJ2tCWkoaUBlKSq0UVJ2Vxo52mFjY4F+wu25+QA4brf7gm+F\nCIKAVCpFqVQSHx9PYmIiERER2Gw2WlpaxszNioiICPlJ3mQyjfl8zWU5HA6GhoYmbBqYq+rt7SU6\nOnpcBT1QwZnnugI4syGfzzcGcMKdARVQaYqKmEgJOw+0hQQ5k1VPRkPOu6fMbC2OP++2SUBGo5GG\nhgYWLlw44U3gXMjZUhTHoM2KTCYbUyKdiSKlYrYWx/Nxk4XdB9soTIghUz99WOrs7CQ29tMtGZ/P\nR6fNiSpSQkPXIC8d7WTngVYe+bCFl452crClD68PiuKiWKJzce/VGfzr50r42poMti2IZ0m6mjTt\n+G2mSKmY6xbEU3Hm7DwsfTQx3sGw5g3lxCkoSIhh90EDHzb2sqUobsqwvc7OziDg+Hy+MR07migp\nqUIfFZ0enq3tZEWGOthdFYoC0PTS0S6eP9LFykwNsWFA04KkGBJVEeytMlJtsLGpQD+ucjUfAMfl\nctHf339Rt0IC06c1Gg1JSUnExcXh8/no7e2lubkZs9nMyMgIYrE4ODttOjKZTCQkJMyL7iO73Y7d\nbkenC6+x4XLSRA+5LpeLffv28bWvfe0SntlF0RXAmQ2NBhwIfcDjRCpLVRETIWZnhYEzPUNsKoid\ndqx/X1/fpNWTFI2cshT/dtVUkOPxeKivr2doaIhFixad109TmBgT9JDUtdtYmRJBpEwa1oIUKRWz\nrTiOj89Y2H3QQME0Icft8VLT2EF9H7x0tJs/fdTCz19v4E8ftfJ6fTc2h4voCDGDTg/X5un5txsL\n+edt+WxOE5Eu7uPvrl1CUdr0Kifw6dDPqtZ+dle2ExclYmVBeNdBlj6aBUlK9lS2825DD1sK485b\ncRtdwQlcl6MXq+F+M59fns1bp/t4+rCJJakqElWhtxtroqSsy9PxyvFunqntZFm6inhl6NBUmKAg\nQytnb6WRipZ+Nhbox7z/8wVw+vr6LqnXQyQSER0djV6vJzk5GbVajdPpxGQy0dLSgtVqxePxIJPJ\nzuuvCUTrzwfAGR4exuFwBNue54POtSmAP0n7pZdeYvv27ZfwzC6KrgDObGl06uhsAg5AWaqaaJmY\n8goDLb3DbJwm5ExkMBut1LOQE1g8txbFjYOcQOdQbGwseXl50ypFFyZ8CjknzU6uyYpBq56+oXci\nRUjFbC2K45OzkJMXryBrFOQ4XR7qOwd4r6GHp6uN/PGDZv7jtQZebXLwToOF+s4BVHIpqzK13LIk\nmfvXZvLQ1ny+viaD1t5h3jxhJkUdicphwm63s2jRojE3helKJhGxtTiO6rY+/npykGRNJIUJ4S3G\n6bqosxU3A2+dNLOpMI7oSbqXRt/QRm9RBWQ2m0lL0LNtYSJvn+xhf3UHZSl+Y3OoUsmlbCjQ83q9\nmadqTCxKVZIUBjTlxkWTFxfNvkMdfNRkYWO+PnhdzgfAuRzNrIHp6HFxcSQnJyOXyxkcHKStrY32\n9naGh4cnnI5uNBqD0+vnuoaHhxkZGZkynHUuqbu7G41GMyYWwmKx8Pbbb3PHHXdcwjO7KLoCOLOl\nCwk4AIvS1MilIsorDLT2DrNhGpAzWYvgaKVq5JSlqthz0DAOcjo7Ozl58iTFxcXEx8fP6CYWgJy9\nVSbqu+xcX5IU8lTqgCKkYrYVx/PRWeOxsd/OG/VmfvPuGR5+/TRPHjLybkMPLb3DJKoiuTZPz5oE\nH9/dlM+PbyjmtmUprMuPZWGykgRlJFKxCJFIYENBLK09g+ypMhIREcHNa0rC8hTIJCI25uv4+JSR\n/Ye7iY/x+3fCUapGztI0NU9UtfNGfTebCmJRTNC91N3djUqlOi/gqNVqtDFyNhfG8m5DL08c6mBB\nkoJUTejG45hICZsK9LzT0MP+QyYWJseEdbxMfRQLEmPYX23inYZeNuTriI6QXAGci6BAO7parSYx\nMZGEhAQEQaC/vz/Yju50OhGJRPT09ITVUHE5aXBwELfbjVqtvtSnMms6d4se/PeITz75hFtvvfUS\nntlF0RXAmS2dCzgpKSmz/lSzOE1NhMQPOW0Wu7+Sc57fEYh3V6nOXz05F3K2FOppaWygv79/TCrx\nTFWYEEOUz86zx/qobbeytSh+RpDj8/kwWZ1UtvTxyrEuyg+08dv3ztBkHsbngxOdgxitDnLjotla\nFMedK1P53sYcvr8xl5sXJ7MmV0+0q5/MRD1R8skrCr29PcSOdOCJVPHMUQsen4+VmZqw/n5iAVJ8\nZvqFGHYcaEMbLaUkObwqVrJazopMDfsPtfPK8W425MeiPKd7aXTu0PkARyaTESUTs7lQz0dNFvZW\ndVAQrwipUy0gRYSEzYWxfNBoYV+VMezjpWnlLE5T8lSNiTfOtqT7nMPzAnBsNtuc6dYRiURERUWN\naUd3uVx0dXXR39/PwMAAbrcbqVQ6p/NwBgYG8Hq9U94v55JGd5EGZDQaOXz4MDfffPMlPLOLoiuA\nM1saDTiBi+pC7EsvSQ9AThuGPru/kjPJQhz4wE7niSRVI6c0RcneynZePWJgY76O0gWFYXdHxEe4\n0csFnj7aS61hcshxebw0mof4qKmX52tN/PmsX+bRD1v427Euqlr95t8FSUpuLEngtmUpGPrsmKxO\nvrMhmztXppETp0All45b0GNiYiYMGvT5fDQ1NdHZ2cmSJUvYujCZ7gEnuyoMOFxeVmdpw4Ick7Gd\nr25Z4m9LP2Ag5mzHVjhKVEWyKkvL09VG/na0i3V5etSjxiYEKjiRkZFYrVYcDseY0Leenp4xA1Dl\nMjFbCmOpaO5nT5WR7Ngosmdg4j5XUTIxW4ti+fhMH3urOsI+XpIqkhUZap6p7eRvx7pZmhSJWh6e\np+tSa663I49uR+/u7iY/P5/h4WHa29tpa2sL3ndkMtmc6q6y2WwAKJXhVVsvJ3V0dIzzSLW0tNDQ\n0MCNN954Cc/sougK4MyGBEEYAzgTlQVnU0vS1UjFAuUVBtr77azPnxhyBgcHcblc095TjnAPonRb\neNfgobbb5TcehzAuYLSGhoZIUUBJdjLlFW3UGqxcna3jROcAb5808+QhI79/7wz/8VoDeyvbeeuE\nmROj/DJ/tziZ+9Zm8NDWPO65Kp2txfEsTdeQE6fg+oUJVLX0s6vCQIYuirz48V6j3t7eCYMGXS4X\ntbW1SKVSFixYEAxCuzZPj2XYxa4KA4NOD1dnhw45BoOBjPQ0NhfG0WT2t6XLpSIWp4VXAo9XRrIm\nR8fThzt48Ugna3P1wRZts9mMQqHAbDbT3NzM0NAQLS0t2Gw2PB4PQ0NDwQpOQJFSP+RUtVnZU2kk\nVSMnLy50KPG39396vBRNJHlxoXXR+V+vP8fnhbou3mwcYFlKFKmxc3cbYa5VcM6njo4OMjIygunK\niYmJSKVSrFYrra2tmEx+T1tg2+ty9upYrdY5Xx08VxN5pE6fPo3RaGTr1q2X8Mwuiq4AzmxpNOAE\nOlkuZLl2aboGsQjKKwx0WB2smwByhoeHcTqdU3YFeL1eGhoa6OnpYctVSyhL07Knsp33T/ewtXjq\n1uTJ5PP5aOqycqjNitkhYnDEzWGDlb980sZzh0180NhLp81BqlbOhoI4vrQ8le9syObBzbl8cZRf\nJlEVOWHQXdDQ29pPeUUbaVo5+fFjb04TtcrbbDZqa2vJyMggPT193BTwtbk6rHY3uyoMWO1u1uTo\nZnxjHh0XIBYJbCqMo6V3mPIKAxKRwLKM8IyMsTERrM3V83ytiReOmFiTo0OnkGE2mzGbzbjdbhYs\nWEBsbCwpKSlERkZis9kwm8309vbidDrHLDoREhFbi2I53G5j90EjCcoIChNCh5JzjxevlIVlttYr\nZFyTo+WvdZ281mBjdZY2rJb0Symn08ng4OC8yFvp6OggOfnTMMtz29FjY2Px+Xz09PTQ3NxMT08P\nLpdrxu3oF0NTNWXMRZ379wGor6/HYrGwYcOGS3RWF01XAGe2NLpN3Gw2B42eF1LLMjQIgh9yTDYH\n6/Nix9ww7HY7w8PD572ROhwODh8+jEKhoKioCIlEQpo2ipJk5Ywgxz7i4YRpgPcbenn2cAePj58n\njwAAIABJREFUftjCw681sK/GzIetw1S19hElk5CmldM94CQvTsG+ryzlextzuKksiauydeTHK9BG\ny6bdBg8ByInnsMFK+YE2UtSRFIxaSM8NGjQajTQ2NlJaWjppZUsQBNbk6BhyeiivMNAzOMLaXP2M\nb8ajzeZikcDGglja++yUVxjw+XwszwjP56NTyLg2T88LR0w8e7iDZakKetqb0Wg0FBUVAZ9OSI6I\niECj0TA0NERaWhoymSxY5QlE+ssjZFxfksRx0yC7Ko3ooqUsSAodSqRiEVsKY4PHU8slIc0AC0gb\nLaNI6eb9liGere1kabqahDBa0i+V5lOg3EQL6GiJxeIx7egqlQqHw0FnZ+eYyqJUKr3k4x76+vqQ\nyWQhhZJerpro73PkyBEcDgfXXHPNJTqri6ZpAc7cHzJykSUWi8dUdC6kvnVtFj6fj9+914xIEPjZ\nDYVBQAjMxppMPT09nDp1ioKCgnHhVlfn6PjjbaXc98QRtpfXsOOuxWii/Nkq3QNOTnYOcqJzgJOd\ng5zsGqC1dxjv2WkV0RFi8uMV3FiSSJpShFZkZ9PyBcH8lr/WmXjwueP86MV6Hv1S2aQtz9NVlEzM\no7eXcf8TR/jhC/V4fHDzIn/AniAIwTyYEydO4Ha7WbZs2ZQ3U0EQeHBLLhKxwJ8/asXj9fGvo97b\nUCQRi/j554qRiAV+/34zbq+PBzZkhwU52bHR7N2+lDt3VLF9Vy0PXaWiJC5u0mMKgoBEIkGr1Qaf\nru12OxaLhdOnT+N0OvlWqRKfW8G/vdaI0+3lyytC75KJlIr5zS3FfP/5Ezz8RhNOt5ftq0LrMBxx\ne+lzeFibpeClEzbu2X2ER25byLL0ubtd9X9Ncrmc5ORkkpOT8fl8DAwMYLFYOH78OB6Px9/hd3Y6\n+sX27wQeBua77Hb7vIK4cHUFcGYokUh00QAH/JDj9cEf3m9GgOBCPBlo+Xw+Ghsb6e/vZ+nSpZNW\nmpalq3lwcy7/8VoD1/3uAFn6aBrNQ/QPu4Lfk3y2YnJdcTyFiTEUxCtIVsuDIGC1WjEYDGPC6W4s\nSUQkCPzg2WPcu6eWP91RFvJU6oDkMjF/vL2Ubz5xhIdeqMfr9XHLkmREIhEOh4Oqqiri4+PHbUmd\nT4Ig8L2NOYhFAo980ILH6+PfPlsU1oR3sUjg328sQioS8eiHLbg8Xv5xc27IkOPz+RCGevjBYin/\nXSvi3z+xoY8b4tpJ0lgDwDf6/wNbeCkpKXi9XqxWKw8s78HltPOfb52hy9zL16/JJCYmJqTzlElE\n/OrzhTz011P8+p1mHC4v31iTNuWxhkc8HDHaqG6zUt1m5WjHAE63H9jTNZHYXV7u23+MX99cxDU5\ncyec7dzOtv+rEgQBpVKJUqkkIyMDj8dDf38/FouFM2fOIJFI0Gg0aLXakK+9mej/CuAMDw/PKyN1\nuLoCONPQ6IVDIpFcVMARBIF/WJeF1+fjkQ9aEAkCP/1MASKRaFwFx+l0UldXh1qtZunSpcHzNlmd\nnOoa4FTXYPC/lt5hPGfLMpYhF8MjNjYXxlGaoqIgQUF+fAwxU0ySnugcAD6zMAGRAN9/9jj37jnM\nn7+0aMJcl5koUirmD7eV8q0n6/jRX0/g8fpYILdjMBjOuyV1PgmCwHfWZyMVifjte2dwe308fFPR\nmInpM5VIJPD/bihAKhb4yydtuDw+/nlb3oxv4F6vl/r6erxeL9etXcHSJS5u/3MF33mhkT8rYliU\nMvPtJZFIhEajQaPR8OfcHP7phXp2HellyHGKrSkeYmJi0Gq1aLXaGW3BSsUifv7ZAmQSEX/4sBWH\n28t31mWMec1Wu4sag40agx9o6k0DeHwgEqAgXsEXFieSHuWiJDGawqxU+oZdfP2Jo3z76eP84qYC\nNhfODdPuFcCZWGKxGJ1OF6wmO51OLBYL7e3tDAwMEB0dHQSe86Wph6r5BjijH2RGy263hzwjbz7q\nCuDMUJMt6hdSgYXY54NHP2xBEOAH69PGgJbFYqHmaD1iTQpN/RL2/e0UDd1+mBlwuIPfl6KRkx+v\nYEtRHPnxCvLjFbRZ7HzryTpOdw/y0LY8NFHTM3gKgjDpe3HdAn+A2PeeOcZX9xzmsTvCh5wIqZjf\nf7GUv3+yjn95+SS354m566rMsNJJBUHgW+uyEIsE/uedJjxeH7/8fHFYkCMIAj+6Lh+JWMTOA224\nPF7+5fqCaW+BORwOjhw5QkJCAmlp/mpIokrMw5vi+cm7Pdy75zC/u3UhS1PHQs65FZzzSSIS+PlN\nRchlDTx7pAulJoWvFunHbCkEFhy1Wj3l4iAWCfzsM3lESkT85YCBvqERVmZpOGywUW2wcrp7CACp\nWGBhUgz3rEplSZqK0hRlsMJnMBiC24uaKCmPf6mEbz55jB88fwK7y8NnSxKm9dqu6PJXREQEiYmJ\nJCYm4vP5GBoawmKx0NDQgNPpRKVSodVq0Wg0s+Lf8fl88wpwJgO24eHhCwKIc1VXAGeGEovFuN3u\nqb9xliUIAg9s8EPOnz5qYcgxQlaEnQ/6mjh8poumXjvdwz6gEfjUK/OZhQlBkMmLU0wIGZn6aP5w\nWyn3P3GEu8tr2PHlxdOaHi0Wi8+7oG4rjkckwHefPsZXdh/msTsXTVkVmkqCz8NX8r3YhyLZ1+BA\no7XxDxlhHRKA+9ZmIhEL/Nebjbi9Pn71dwvCSmcWBIEfbslFetbn4/L4+NmNhVNugfX19VFfX09h\nYeG4DjldlITf3pTN919p4/79R/nvzxeyJvfT7aqZAA74oeSn1+chE4vYUdHOiMfLg5uyycjIwO12\n09/fT09PD42NjURERASrO1FRUWOqFD6fjxaLncMGKw6XB0WEmOfruni+rgu5VERZipIta9NZkqZi\nYZKSiAm65iZSTKSER25byLefOc6PXmrAPuLli0tDH3B6MTRfKjgzuY7ClSAIKBQKFAoFaWlpwa1U\ni8VCa2srgiAEYVupVIYEKh6PZ14BjsfjmdDHNDw8PK86xcLVFcCZoSQSyUWv4AQkCALf3ZiN1+fj\nsY9b/V+jmWSlhMWZsRTEx5Cf4IeZJFXkjG60a84ajwOQs/OuqSFnOn6kLUXx/M8XBL7z1FHu2VXD\n43cuGpfQO10NDAxw9OhRMjMzeawsnvt2V/L7im6UqlbuXp0e0jFH696rM5CKBB5+/TSep47y37cs\nnLCFfboK+HykYhF/eL8Zt9fLwzcVTwo5BoMBo9HI4sWLJ30K00RJ2HX3YraX1/DtZ+v59eeLuDYv\n9AnJIkHgn7fmIJOI2F1pxOn28uNtuUgkEvR6fbAbKGBWbmpqYmjYTq83ija7lFMWN7XtA1jOerc0\nUVKWp6sZcro52Gplba6Whz9biCREb1OUTMzvvrCA7z93gn9/vZFhl4d7QjQyX9H0dSlBbfRWKnw6\nwLSzs5OGhoZgq/pEsD2Z5gt4BjRZBcdut4ecTj8fdaVNfBry+XzBJ5qZBuzNtgRBYHWWlg7LACe6\nhrmhSMOer65i24IElmVoyNRHo4wMLYMiTRtFydnE48kGdI6Wz+fDZDKdt5UU/N1A+QkK9hw08FGT\nha3F05/iHVBHRwcNDQ2UlJSg0+kQiwTK9NBisbO3unNWQvbAP/xULZews8LAya4BNhfGTQgk051J\nJggCKzO1wVyjlglmjQX8NsPDw5SVlY0J6hutQKurXqNic6GeT86OYQgkCvf19SGXy2dcovZfUxrc\nHh97qjrosDq5NlcXzF4aHvFQZxri/RY7L5x2Un7MzmtNdg61DzE47KBAI/DZQhXfuTaDf9ySx3UL\n4rmxJAGpWGBvVQeN5iHW5+mnrF5NNotKIhLYVKCnzWJnd6URj9fH8nTVZblgTTef6nKX1+ulq6uL\npKRLXzE7tx09JiYGp9NJR0cHra2twXb086Urd3V1odPp5vS4idFyOp3YbLZxM8+ef/55rrnmmsvi\n73aBdSUHZ7YUmPsDfkK22+3jWq8vlnw+H21tbSTRh8Pl5ZXGYSxDLtbmzjywbiKlaaOCYx2mAzlG\no3FaA/my9NEUJMSchZxethTFTwtyvF4vJ0+exGq1snjx4jFjGezDQ6xIisDqkbGzwkCERMSSWWgr\nLk1RoYuWsfNAG8dNNrYUxo3z5Mx06OqyDA2RZweqNpmH2FgYi1gk4HA4qKmpQaPRkJeXd94yel9f\nH1KpFIVCgUwssDFfS3WbjT2VRtK0cnQSZ0iAA37IWZGpQSTAnkojB1v6aege5A8ftPKLN5t4sa6L\nQ21WFBFi1uXpuWtFCg9uyuab12axuTieDJUYh62X5uZm+vv7cbvdrMqJRauIZHelkeOmATYU6M+7\n7Xe+YZtikcD6fD3mwRH2VBkZcHi4Kiu8rKELofkytdrr9dLd3X1ZGlalUilKpZL4+HgSExOJiIhg\nYGCAtrY2jEYjw8PDAMhksuDn6UIn0F9sTTYS5Omnn2bbtm3zIodpCl0BnNnSuYAzVcDehZLL5aKu\nrg6v10tZWRkquwl9QjK7KgyzCjmp2ijKUlXsrTTw7ikzW4rix7SCBzQ60Xc6ytRHU5SoZPdBAx82\n9rJ1CsgJLP4qlYqCgoJxT2dDQ0O4XCPcsiqPNoud8oo2xCLCThIGWJisJD4mgvKKNuqM/g6z0Ytz\nKFPll6SpiYmUsPNAG6e6BlmWKOPY0Try8vJISkqa8m8XSGONiYnB5/MhEWBrcZw/UbjSSFy02D8E\ndQYlap/PR3OvnXcbethX1cEHjRasdjedNifHTAMkqyO5rjiOe69K46EtOdyxPIU1OVpyYqOD5uDR\n84uSk5OJjo5maGiItrY2NF4ryZponj/eT02blU0F+km3/aaaJi4SBNbmahlweNhTZaTLNsI1Odrz\nDqW92ApUcOY64Ljdbsxm82UJOKM1Ol05MTExWNHo7e2lpaWF7u7u4PiMcwdTzmVN9qC9b98+br75\n5nk1VHQSXQn6uxC6mEF/o2Wz2Th27BiZmZnBm44gCPxgUw4Aj5/15Pzk+vxZgZxVWVoeub2Mb+yr\n5a7yasrvWoLunPj8UH7PtXl6fn9bKd/aX8fd5dXBkMFzZbFYOHHixIRBhQEFOtokYhG//HwxYhH8\n7ztn8HrhW+uyZnxu5+oLS5ORiAUeerGer++r5ZHbyyYEvZno7lVpSEUC//rKKcy9Fv5813LUMdML\n5pro/Y6Sifn9rQv49tPH+e3BfqQRcu5eM3l1ccTtpb5zgBqDjcMGG0eMNvrO+mfUcgllKSpuLkvA\nPDjC7kojcqmYe69Om/ZIj3MNox6Ph6z+fmRi+E2lldsfq+A/NieTnhhLdHR0SGMy/nFTFlEyMX/6\nuA27y8O/35gfliF8NjVfvB5ztevoXO+Yw+Ggr68vmOoeHR0dNMtPNKR3rmgyk/EVD85YXangTEOB\ntFz41PAWHx9/0X53e3s7TU1NQf9JQAaDgbS0NFZnabG7vLNfydHIKUtRsa+qnbdPmtlSFEeUbCwT\nh1LJyNBFsXDUuIgto7bBfD4fra2ttLW1sWjRovOGVg0PDweraSJBYH1+LCarg/IKA16fjxVhjksA\nKEyMIVUjZ1dFG9Wt/WwpikMmEWEwGEhJSQkp30ZiM6KSwatNTuq7hsdVhyZTf38/YrE4WMHxer0I\ngoBULGJzYSzVzd08e6wfTZSUhWfHMPQPu6ho7uf5I1388YNWHn6jkWcOd1LR3I8PWJmh5ralSXx3\nQxYPrM/kugVxLEpVcVW2lgSljN2VRmrbbWzMn7zycj6JRCKioqJYnJVAflw0zxwxc6jDTnbEAJ3t\nrcHp1BEREQwODk5rIKIgCKzIUBMp9RujT3UNsSFfH7KReTblrypeOo/ebMntdmOxWC7afe5CKVDx\n7O7uZunSpURFRTE8PIzBYKCtrY2hoaHg9TeXgG6y6+yxxx7j61//+rzZijuPrmxRzZZGA47b7aan\np4eEhAufyeF2uzl+/DhOp5OysrJxTxwBuAgYjy8U5CxODUBOzzjICQVwANLPzsQa7fWRinwcPXoU\nr9dLaWnplIbAc+f+BCCne8BJeYUBl8fHyszwIacgIYZMXRS7DhqobOlja1E83Z0d4yb5TiWn08nh\nw4fRaDRsW1FMslrOzoo2DhusbCmKnxJyAhORlUrlGMABvxG3UOGgsd/DU4e7+KjJwq5KI79+p5lX\n680c7RhAr5CxqSCW7StT+OGWbL66Oo31+XoKE2LQRI03phcmxJCmlbO30khlq5WNBfppt3hPpEx9\nFAsSY3j6cBd1FoE71i1EGxMVnE5tsVhwu91ERkYik8mmfG8XparQRknZXWnkiNHGxik8PhdDQ0ND\nuN1u1Oq5PWJiZGTkoj7IXWh1dHSQkpJCREREcDp6YMuqv7+flpYWTCYTTqcTkUg0revvUmpgYACf\nzzduK+qxxx7j/vvvv6zPfZZ0BXBmS6MB52J1FwwODlJTU0NCQgK5ubkTPl2MhosLCTkpGjmL09Ts\nqzTw1skeNhfGBWdMhQo4MNbQ/NaJLmIdRrLSU8jKyprWeU9ktBMEgWvz9PQMjVBeYcDh8rI6Sxv2\n+5AXryA7NprdFQYqmvso0/lIT0ma9lNff38/R44cGeO3KUz0A0T5gTYOjaoOTSar1RqMwPf5fAw7\nXdR1DPLqcTM7DrTzSKWZlr4RALoHRlBGSrh7RQrfWOP3z9y6JInVWRqy9FHT3mrLi4smNzaavVVG\nPj7Tx8YCfcgT6AHStHIWpyl5qqaT10/0sHVhEumJcSQlJQW3fm02G83NzfT19eF2u5FKpZPC7oKk\nGJLVEeytMnJoFiAsXA0ODgbnLs1ljYyMYLVax3XpzFVNNJhSJBIhl8vRarUkJSWh1+vxeDx0d3fT\n3NyMxWLB5XIhkUiQSCSXFTTYbDaAcRXuHTt28I1vfOOyOtcLpCuAM5sKAI7P55tyym646ujo4NSp\nUyxcuHCcS3602tvbx1QRLiTkJKtHQ46ZzUV+yAkHcMBvaE6P9vBsXQ8nbFJuWZkzbhtsMk3WKikI\nAmtz9fQNuyivMDDk9HBVdviQkxPnzxjafdDAUbOb60uSiIqYuu00sMVYVlY27okrPz6GLH00uyoM\nHGzuY0tR/KQL9BmThUPGIf52oo/fvtfML948w3NHOqlo6QdgQZyMzy3Q8b3NeQyPuKlqtVKSHMNN\nJQlhVTay9FEUJ8awv7qD9073sjFfH5YXKUkVycoMNc/WdvK3Y92sydGiiZIyMDCAXC4nMzOT5ORk\nFArFuO0En883bjuhIF5Btj6KvVUdfDQLEBaO5hPg2Gy2895/5pKmc88+1yyvVCqx2+0YjUba2tqw\n2WzB7axLbVYe3XAQkM/nuwI45+gK4ExDoys4M+0cmok8Hg/19fUMDAywaNGiKdt9Ozo6SExMHHOz\nv9CQsyRNzROHjLx5opvNRXFYuk0hvxder5eGhgYi3INsXZrHkzUd4ypE59PIyAj9/f0TltH9kKPD\nandTXmHA5nCzJif89yEr1t/uvr+mk48a+9hSHDfpYhqYcj44OMiiRYsmne+UG6cg7yw4fdxkYUtR\nHBKRwMmuAd6o76a8wsAvXm9gxyEz7zcPcKJzgERVBJsL9NyzKpUfbs7mK6vTKFS6KExQkB6v9bdU\nD4ywp6qDoREPq8PcqkvXyilNieHJahNvnuxhfb4urCGq8coIrs7W8GJdFy/UdbE6U4PU4wh6cARB\nQCaTjdtOsFgsNDc3B7tjxGIxMpmMnNhois5C2LsNvazP14U9yT4UDQ4O4vV653wXy2RtyHNVM30o\nFQRhwnZ0m81GS0sLHR0d2O12wD924mIDRV9fHxEREeMmh+/YsYP77rvvop7LJdIVwJktXQzAGRoa\noqamhtjYWPLy8qb1hGAymYiPjx/3vRcacpamq3miyg85pTofORmpMz620+mktraW6OhoioqKSNNF\nszhNzRNV7UF4mmqBmsrwLQgCa3J0DDo9lFcY6Bt2cc0svA+Z+mgihrp4tWmY9xp6x5ikR7++w4cP\no1KpyM/Pn3IrSxctQyISeOVYF3sr2/nTh61nTdi99NlHKE1RsSkrii8v1vHwLUv4u8VJLEvzV38C\nv9tqtSKRSFAoFGcBT4vN4WZPZQeWIRdX54RXxUpRy1mWruLpwyZeO25mba4OVYip1AB6hYy1uTr+\ndrSbZ2s7KYmPJFYhm9BkHNhO0Ol0JCcno9VqGRkZwWQy0dLSgs1mI0UlY2VOLM8c6eaNE2auzdWh\nDHM0yEw1mTdirulcf9tcV7hV99Ht6ElJScTFxeHz+YLAbTabg8AtlYYWtDoTWSwWIiMjx3VMBSo4\n/wd0BXBmS6MBB8LznUykzs5OTp48SXFxMfHx8dP+cJwvnfNCQk6SWs7SdA1PVLVzyORi28JEFJHT\nX+j6+vo4cuQIOTk5YzqRRsPTG/XdbC6MO2+VwOVy0dvbe17DtyAIXJ2tZXjE/z70DI6wNlcf9vvg\nG+hmXWkW+6tN47KCrFYrtbW15ObmTmhE9np9nO4e4q2T3ew9aOC/3mrkP99spKq1HwRweXxERYj5\n4ZZcfnJ9Ad9en811CxJIlbvRycXotBp8Ph8ej2fMsW02W7DMHnjtV2VpcLp97Kky0ml1snZUQnEo\nSlBGsipTw3NHOnn5WDdrsv3bS6FKEyVlfb6O1+vNvHzKysJ4OdmJU3cgBcrzcXFxJCcnExkZic1m\nw23tIl8N77aO8PLRbtZka9BMY67abGm+VHAcDgfDw8OXLNB0tjXbtgKRSER0dHQQuNVqNU6nMwjc\nVqs1mK58ITqaenp6UCgUY6r8LpeLJ554gq997Wuz/vsuQ10BnNnU6Oyb2QKcQEpvX18fixYtmnF+\nQVdXFxqNZtJo/wsLOZEsy9DwZHUHb57sYXPR+WEEPk1hbmlpYdGiRRMuAgF42n+onTdOdLO5MHbS\n43o8Hnp6eqYMIxMEgauytYy4fZRXGDAPjnBtmJDT1dXFotwUlmXq2VfVzlsnzWwqjKO/p4vGxsYx\nfhur3UVlSx8vHjHx6Ict/OyVU5RXGHi3oQeTzUlhfAyfK0vkvrWZ/Pi6fFZlafnrERNNPcPcvCgp\nCI8DAwNBf8dkgHNum7UgCKzMUCMgsLvKSGufnWtzdVOOTTif4mIiuDpby4t1Xbx4dntJrwgdIlRy\nKRsLYnn9eBcvnbCyIElJqmb6acyCIBAREREMeytIS6AkVsIrJy08X2si3mchSuRBIpFc8Kj+gYEB\nYLz5c67pUie2z6Yuhm/yXOCWy+UMDg7S1tZGe3t70D82Ol05HPX09BATEzOms9Zms/HSSy+xffv2\nsI8/B3QFcGZTsw04drs9uIVRWFgYkmnNbDajUqkm9XbABYYcVSRKRxdvtTh544R5Shg5duwYLpeL\n0tLSSaEM/PC0PMMPOa8f72ZTYdyEU9ADHQ/T6WgTBIFVWRrcXj/kmGwO1uXFhlzNCFTPsuKUfl9S\nZTsvH2mnUDlCfEYBHzXb2FvZzq/eauSXb5zmpbpOqtv6iZKJuSZXz50rUvnB5ly+vzGHG0oSWZqu\nIUUjRyYRkar5tJL1Wn03GwviiImUBDNjZgI4gde+LP3T3JhGsz83JhzI0UXLuDZXx8vH/NtLKzPU\nxMVMfh1OJUWEhBKNhyqjnf01neTHKcjQhRZYJhKJSNGrWJ8fyyv1PbzXOkJJfCSOvk7a2toYHByc\n0Kw8G5qsu2WuyW6343A45vxMLfADTmdn50WbzxQAbrVaTWJiIgkJCYhEIvr7+2lubqarqwuHw+83\nC9W/093dPe7h1mKx8M4773DHHXfM5su5XHUFcGZT5wJOKCFvAXV3d3P8+HEKCgpITEwM+Ti9vb1E\nR0dPaUa+kJDjsnazbUkOTx82TQojAX9RQkICOTk501pUElWRrMjQsv9QO68e/3SRHy2v10tnZ+e0\nn8z8gy/92x/lFQaM/Q7W54cGOYHq2bBboNlso89iob7XzStNDp441ME7p3owWR3kxyu4qTSRb1yT\nyY+uy+eulWmsy4+lICEG9QTZMwElqeWszNTyVLWRvx3rZH2+HpHHidvtRqOZeItqYGAAQRAmDcpb\nlKpCJZewu9JIvWmQjQXhheNpoqRsOLu99PRhE0tSVSSqQk+HHRkeYF2OimPdbvZWGcnQycmJnV7K\n8/nO740TPbx8ysaWJbksLcxEIpHQ19dHS0sLnZ2dOJ3OoFk53M9E4G8w1wFnaGhoXgwNhU8fhC7V\n2IlA2KVWqyU5ORmdTofb7Q62owfiEGZSYezs7BxnT+ju7ubAgQPceuutF+qlXE66AjizqdGAYzQa\nSUqafgZKQIGuIbPZzOLFi4NeiVDV29tLVFTUtLa2LhTkdHV1UZyZxFW5cew/5K84bB4FOd3d3dTX\n11NcXDzjTI0EVSQrM7U8GYScWJSjvD6B0vN0hn0G5B8qqUUQYFeFgbY+ux8eprHQuz1eTnYN8OYJ\nM0/XdvNIRSe/equJV46bMQx4SdXIGRrxoJRLeeT2Mn76mQJuKElkWYaG1LPVmZm+/tXZWp6p6eDF\nuk5WpimIEvsmBRybzXZewAEoSVYSFyObtXA8ZaR/e+ntkz3sr+6gJDmGFPXMh32C//zlMgl/tyKT\n6jYreyqNJCgjKEwI/XOijJSyqUDPu6d7eeJQB8VJMeQnaYPZJzqdjpGRETo7O2lubg7bOzHVPK25\novmSyAwXN5x1Ojq3HT0QhxBoRw9Uas83Hb2zs5O4uLgx16jBYKCuro7Pf/7zF+ulXEpdAZzZkiAI\nYwDHZDIRFxc3o22lwCwUhUJBcXHxrBjP+vr6kMlk41oFJ9OFgJxAqTQ9VsmKDD+M+LdVYjG1+dt5\nFy9ePO1zPFcJykhWZfkrGa8c62JDQSzKs507Pp9v2tPMz9XyDA1SsUB5hYHW3mE2FMSOg5zuASef\nnLHw3OEO/vh+M//26qngeIl+h5cstYSVCQIPbC7kpzcU85WrMliTo+fFIyY+ON3D+vxZyFfrAAAg\nAElEQVRY1GEYcMHvd1mTo+O52g5eO9nPkqRIMpNiJ63gwNTbI0WJMaRoItlTaaR6igGY05EiQsLm\nwljeO93LvqoOChNiSNfOHHICcKBTq9hSGMuxjgF2VxrHjJ4I9fy2FOr5uKmPPVVGsmOjyNb7r8fA\n6IvR3onAZOr29vYZtwJPBzLnguZLIjP4zbeX69iJc+MQEhMTkUqlwXRvk8mE3W4PbnsFrsGJIkJa\nWlo4ffo0N9xww6V6ORdTVwBnNjUacM7XvTSRent7OXr0KHl5eTOO9z+f+vv7kUqlM6oEzTbkjPYB\nBSou+w+182KNgdXp0axYVBI2zMWfhZynz0LO+oJYVHJp2C37S9M1REpFlFcYON09SKwigjfru9l5\nwMAvXj/Nb949wyvHujjaYUMbLWN9QSx3rUzjB5uyWSHvZnVKBLdtXE5mnCoICP58Fx3PHu7ghSMm\n1ubq0YbZxaNXRLAuL5bnazt4/fQAa3L06BWycYAT8JZMZ3skP15B1tlwvIrmfjYW6M872X0qRcnE\nbC2M5eMzfew9ByKmq9HVD6lYxJbCWE6bh9hdaSRSKmJRauidSXKZmC1FsVS1+itDKepI8uPHfm7O\n9U4EFsSenh6am5vp6ekJJttO1gpstVqD0DSXNdrQPtcVyMuaC6nM57ajx8b6H2bOvQatVivJyclj\nAKehoQGj0cjWrVsv4Su4aJoW4Myd6WKXWKNvZtOdKO7z+WhsbOTMmTMsXbp01jsSAtO0Z6rAFPKv\nXJXOvqp2/vVvp/D5fCGdg1gsHnMOGTHw7VIJQ274yXsWTFZnSMc9VwuTley8azGDTjdf3lGNwTIc\nMpR5vT7O9AzxwhETJquDBGUEb54wc8eOah5+/TR1RiuLUlU8tDWPp+5dRs1D63jq3uX887Z8NuVr\n6WyqRyKRkJOTMyG8FSbGsOvuJfh8cOeOahq6BsN9+WTHRvPbz2URIRa4q7yao0Zb2MfcUhjLr28u\n4mTXIF/dW4dlaCSs46mjpDz2pRKKE2P4wXMnePlYV1jHk0lE/OrzhWwriuW/32nmd++3hHydAigj\nJfzp9oUsS1fz0F9P8VR1x3m/PzCZOj8/n+XLl5OXl4dIJKKpqYmqqipOnjxJd3c3brc7+DNXpolf\nfvJ6vXP2tUilUmJjY8ddg06nk0OHDlFfX09lZSVtbW08++yz7Nmzh+LiYv7nf/4HgJ/+9KckJydT\nVlZGWVkZr7zySvDYDz/8MDk5OeTn5/P6668Hv/7aa6+Rn59PTk4OP//5z4Nfb25uZsWKFeTk5HDr\nrbcyMuK/XzidTm699VZycnJYsWIFLS0tF+fNmYbm5l/9Ems6gDMyMkJ1dTVer5clS5act9PpQp7H\nZJotyBEEIQg4BoOB+vp6/m7dEnbetQSr3cWdO6sx9ttDOsdzVZzkh5zhEQ937qymzTI8rZ+zDI3w\nXkMP//tOE1/ZVcOKX7zPtt8e4MHnjvN8rYl0XRSrzpqPr8rW8trfr+bXtyzkrlVplKZ8Wp2x2WxU\nVVWRkZEx5ZNtXryCXXcvQSSCO3dWc8I0EN6LB1LVkfx8cwIxkVLu2X2Y2vaxkCMIwoz/huvydPz2\nlmKae+3cs6eOnsHwICcAEYvTVDz04imePWwK63hSsYiHP1vA50rjefSjNv7r7TNhQU6UTMzvb13A\n2hwtP3utkR0HDNP+WblcTnJyMiUlJSxdupSEhAQGBgaora2lurqa5uZmHA5HWOd3uWi+gBrMbcA5\nV4FrUC6Xs3z5clJSUqivr+eWW25h//795Obm8stf/pIXX3yRxsZGAB544AFqa2upra3luuuuA6C+\nvp79+/dz/PhxXnvtNe6//348Hg8ej4dvfvObvPrqq9TX1/PEE09QX18PwIMPPsgDDzxAY2MjGo2G\nxx9/HIDHH38cjUZDY2MjDzzwAA8++OCleXMm0JUtqmlqNEgEzL2TdS8Fguyys7NJS0u7YDeKcMvI\ns7FdZbFYkMlkNDc3Y7fbgyMJ4pWRrMzSTOidCUexZz0pT9d08Ne6ThZqoTA7LfjvTpeHox02Xq/v\nZvfBNv7zjUZ+/XYTLx/1t2nLZWKuytZx27IUHtiQww+35HHzoiRuKktCGy1lz8F2jptsbCmMQzLK\nfNvR0cHp06cpLS1FrVZPy+CtjZaxIT+Wl4928nSNkZWZWuKVoYPu8PAwYo+T264u5PX6bp6sMVGW\noiRZ7e9cCjVkLk0rZ1GqMphpFO4YhsD20nHTILsrjajkEkqSp942m8ygKzo7dsNmd7OnqoOeQRdr\nwkhllogENhXqabXY2V1pxOP1sjxdPaPjBbYSJhrU2NPT4w8ddLsvWNDbhVbASzTXu8HA3/I+n0IL\n4dPgwoiICMrKytDr9RgMBkpLSzEajXzwwQfs378fu91OVlYWq1evHvPzjz32GAsWLODaa69Fo9Hw\nyiuvkJubi9FopK6ujn/4h38ITlo/deoUV199Nffffz9/+ctf/D45nY5HHnmEO++8kx/96Ed85zvf\nITU1lYKCAr75zW/ygx/84EID8rS2qObeJ+8SafTT8WSVE5/PR0tLS9BYO1X7drgSi8XBMmGoClRy\nAB7/uBWAn1yfP+2L0+Px0NDQQHp6OqmpY0c2lCSr2PHlxdyzq4Yv76xm191LSJlBgNtkKkiIofyu\nxdy1s5p/P+imR96CyergSLuNU10DuDz+v1OCMoLSFBVfXJpMaYqK4iTleYdEfml5KlKRiJ+8fIL7\nnjjC779YSoREoKGhAbvdzrJly4KL1XSrJem6KPZsX8qXd1Zzd3k1j9+5mLIwvCQ+n49EVSS77l7M\n9vIa7t9/jP+9pZjVWZqQKjgBLUtX86fbF3Lf/mPcvesIj91REnI3FECkVMxvbinmH184wc/faMLu\n8vDV1WlT/+AkEgkCP9ycjVwm5vFPDDjcHv71M/khtbkPOf2DSDVyKYoIMX/62MCwy8s/bpzeFPuJ\nJJPJiI+Px263I5fLiY6OxmKxUF9fHzTrarVa1Gr1JR/UOB1d2aKaWyoqKuLMmTN88Ytf5Otf/zqf\nfPIJRUVFuN1ufve737Fr1y6WLl3Kr371KzQaDUajkZUrVwZ/PiUlBaPRCDDG05iSksLBgwfp7e1F\nrVYH73+jv99oNAZ/RiKRoFKp6O3tvSzGfFwBnBA0EeC4XC6OHj1KVFQUy5YtuygfqHC2qEYrVMgx\nm810dXWRlpZGWtrEi9fCZCU77vIvxuFCTpfNyVGjlaNGG3VGGy6PjyEX/NebjcilIkpSVGxflU5p\nipKFyaqQqiVfWJqMRCzw0Iv1fG1PDV8r9JEUpyM/f+z7MROYSNHI2XvPUu7aWc32XTX8+Y4ylqbP\nvP129O+Pi4ng8TtK+PoTx/j7p47x3zcXkRdDWNsjZSkqHru9hK89cdQPOV8qCTlsD/wemv/8XCH/\n/NIp/vfdFhwuL9+8Jj1kiBAEge+syyRKKua37/uP94ubCqZsc3d5vBw3DXDgTD8Hmvs42jGA2+sj\nUiJicZoKn8/Hnkojw04PP7kuN6wAxMB5KhQKFAoFaWlpeDwe+vv76e3t5cyZM0ilUrRaLTqdjqio\nqMtyK8jr9c4JEJuOvF7vZfkez6by8/NZtWoVv/nNb3j++ecpKysjIiKCf/qnf0Kv96e2//jHP+Z7\n3/sef/nLXy716V40XQGcEHQuWFitVo4dO0ZOTs5FbUUM1WQ8kWYCOT6fj6amJvr6+khNTZ2yUrUg\nyQ859+yq4c4d1ezavmTKKP4Bh5tjHTbq2q0c7fADTZfNb1iWiATy4xXcUJKAs7+Ld40gFgn85Lp8\ncuLCyxYC+PyiJFwjDv7llTM4R6L5y/bxi/JMqyWJqkh2b1/K3eXVfHX3Yf54exmrsmYWonbu79RF\ny/jLHSV8bd9Rvv1MPT9an8jShPC2AYuTYoLHvHu3H3LCCduTikU8fGMBkRIRj37UhsPl5XsbMsNa\ncL52dRpymYhfvnkGx9P1/PrmwjEdYD6fjxaLnQNn+jjQ3E9Vaz9DIx4EoChRwd0rU1iVqaE0RUmE\nRITP5+P3H7Ty6EdtDI14ePiz+SFnA03kXRGLxeh0uuAWicPhwGKxcObMGYaHh1EqlWi1/myeCz1K\nYrqaTxWc+fRaYHJgKyws5J577uGmm27ioYceIiUlZcx6dO+99/KZz3wGgOTkZAyGT/1n7e3twcDU\nib6u0+no7+8PBhKO/v7AsVJSUnC73Vit1stmO/AK4ISgAOAEZiuZTKaQZknN1nnMlqYDOS6Xi7q6\nOhQKBUuWLKG9vX1a57AgScmOLy9m+64avryjml13LyZV63+/RtxeTnYOUGe0UWe0Ume00dzzqYE4\nQxfF8gwNJclKFiYrKUyICS5on3zSx71bS7mrvJo7d1az864l49p/ZyqTyUSqp5P/uCGXH/2tka/u\nPsyf71g0JklZJBLNuFoSr4xg9/YlbC+v4et7a/n9baWsyZn+jWAiqFLJ/Z1L9+0/xr++3cH3Vuv4\ncvqMTmuc8uMV7LizlK/ureOePXU8etvCsML2xCKBn16fR6RUTPnBdhwuDw9tzQlr6Oedy1OIlIj5\n2aun+eaTx/h/1+dR1zHAgTN9VLT003kWhpPVkWwrjmVVpoYVGeoJp58LgsC31magiBDzq7ebGRpx\n8983F4XUNj+dayIyMpKkpCSSkpLwer0MDAzQ29tLe3s7ABqNBp1OR0xMzCVbmOeTydjj8cw7wJno\n9fT09BAVFUVbWxvPPfccFRUVmEymYILz888/z4IFCwC48cYbuf322/nud78b9BcuX74cn8/H6dOn\naW5uJjk5mf3797Nv3z4EQWDdunU888wzfPGLX6S8vJzPfvazwWOVl5ezatUqnnnmGdavX3/ZXDvC\nDG/Sc789IES53e7gQt7R0cHw8DCDg4NIpVIKCgouSTnXarViMBiCF+1syefz8Z9vNvL4x63cviwl\nCDk2m41jx46RnZ0dfDIIAE56+vRW1bp2K9t31SAWCVyTq6e5Z3iMbyZWIWNhspKSZBUlKUoWJCkn\nXJQC+uSTT1i9ejX/n733jm+rvvf/n0fDtrwkS/Lee88MIIQwkpBAy2qZCQQKZV1a2gvtbW+5vffb\nvSgXyqVltJDJXgUKBcoecZzEO4ntxPGUPDUs25Ks+ftDkfCObDmxk19e/0WP+JzPR+fofF7n/Xm9\nX6+2wVFu3lbNmMPFtpsryIubuw+Jy+Xi8OHDmM1miouLkUgkvHewn39/qYGC+Aj+elO5byxHjx5F\nJpPNy/5dP2rj1u3VHBkY5dHrSrgwN9qvvzMYDPT09FBQUIDL5cJms/kedKNjDu7YVUtjr5mffz2H\nK0oCd23t1Fv49q56RmxOHr++yC+h8Gxwu93870dtPLO7mytKYvnZ13ImbAd1dXUhkUj8+k7NNif7\nO4d4dq+Gz48afJ9Hhkg4K03B2ekKzkmPmlNoJ8BL1T384p3DLEuR8+i1hXMWWx89epTIyMh56w/s\ndjsGgwGdTsfw8DAymcxX3TnRmr7xOHr0KBEREURH+3dvLmX09PTgcDgWJCB5KWBsbIympiZKS0sn\nfJ6dnU1ISAhyuZyHHnqItWvXctNNN1FbW4sgCKSlpfHEE0/4fl+/+tWvePrpp5FIJDz88MNccskl\nALz99tt8//vfx+l0cuutt/LAAw8A+DQ+er2e8vJydu7cSXBwMFarlZtuuomamhqUSiXPP/88GRkZ\nJ/pr8ItBnSE4fmI8wWlra6O9vZ3c3NyTFuA2HUZGRmhtbZ1yoy8EJpOc28rC6erqoqSkZIIrsVar\nZWxsjPT09GmP0am30Kg10aAx0aA1cbBnGLPN8z0KQElS5LHqjJySxEhiI+cWPvfll19yzjnnIAgC\nnXozW7bux2Jz8fSWcgoT/F+QbTYb9fX1KBQKMjMzJ4zhg6YBvvdiPTkx4fxtSzlRoZ6useDg4Hlf\nf6PZzm07amjuG+Z/rylmff7xTcgmExy73T5hnF09ffzn2+3U947x00uyuaYi8Owd7ZCV23bWYzDb\neey6IpalzF8gDZ574vHPO/nzpx1sLIjm15d/tR00G8GxO100aoepbDNS2W6gXuPR0UjFAmlKGa2D\nZpKjQnj6xtKAQj8B3j7QzwNvNJMbG8bj1xfPyY26tbUVhUKxICV6t9uN2WxGr9ej0+mw2Ww+sXJU\nVNQJfalayHksNrxi2BOZJn4yYTabOXr06JQX2zvvvJMf/vCHlJeXL9LITir8WiTObFHNAd5ogK6u\nLtRq9aKSG1hYDc5keLer3G43T3/ZyaAuhIc2nTVFI+Adg9vt9oiAtSYaj5GZRq2JIYvHBC1IIqIg\nLoJvlidQlBBBWLCEB/5+kF7TGN8sTyB9jq6348fpLaenKEPZ8S2PmPeWbdX8bUs5JYnHX5CHh4dp\naGggKytrWrfTtXnRPHZ9Kd95oZ5btlXzzJaKgDqWwGOKt/XmCm7fWcP3XmzgwW8WcmnR7FWX8eec\njgTKpGL+a42aP+238PN3DmNzuti8IrCHeoI8hK03lXL7s/Xc/XwDf7qm0BdYOh8IgsDd56USIhHx\n0IdtjDlcPHhV/pSoCLfbzeEBM5VtBva0G9nXOYT5mI4mPy6cLWclcVaagvLkSGRSMV+06vn+ywf5\n9q56ntxUQlwA7fiXFsYQFiTmvlcO8q2ddTx5QzHRAZKm+UAQBMLCwggLCyM5ORmn08nQ0BA6nY62\ntjYkEolPrBwWFrag2wKn0xaVy+U6JVv1Z8JMW1QWi+WkyySWOs5UcPyE1WqloaEBQRCIj4+nv7+f\ngoKCRR/TgQMHWLZs2Qk5vsVioa6ujre6JLzUaJywXaUftdGgNVHZ0kODxkT7kJOBYyZxYpFATkwY\nxYlyihM8upmsmLApws2m3mFu2VaNRCyw7eZlZM5DzFpZWcmKFSsmvM1qjBa2bK3GaLYdty27p6eH\ntrY2SkpKjht58UWrjrufrSNFKeOXa2NQhwfPKwdrPEbGHNy1q5b9nUZ+c1UhV5bOXHUZvyXpdrux\n2WwTFiGv/0pSSho/fO0QH7bouH9tOrecHXhpfnDExh3PNdChM/O/VxeyJivwlOnn9mn59btHWJUR\nxcNXF3DgSAf1/TaaDG72tBvRj9oBSFXKODtNwVnpClamTq+jAdjfOcQ9LzSikEl4anPJnLenJqOq\n3ch3XzqAMlTKU5uL/WqbP3LkiG9L6URjbGzMV90ZHR0lIiLCd+6goMDiQQ4fPoxarT4twjY7OjoI\nCQlZkllU88HQ0BC9vb3k5uZO+Pzqq6/mb3/7W8DPpFMEZ7aoFhJtbW24XC6SkpIwmUx0dHRQXFy8\nqGOy2+3U1NSwcuXKBT+2TqejqamJgoICFAqFb7sqQx2K1e5CO2QFPHdZUqSEZenRFCVEUJwoJy8u\n3G+BZkvfCLdsq/ake98yd5JTVVVFeXn5lMpSz5CVLVv3oxu18dSN5SxLmWiG6Ha7aWlpYXR0lJIS\n//OyKtv03LWrFnWohAe/lkxZ7tStubnCbHNy97O17Gk38MvL87m6Yvqqy/j7bjqCo9PpMBqNZGZm\nYne6+Mkbzfzz4ADfOT+VO1cHqDzGs61253MNtPSP8uBV+azNC8znQjdq47FPOnippodgiYgxh6ca\nqQ4L4qx0hUdLk6YgXh7i9zEPaIe56/kGpGIRT20qnhdpHo96jYm7n28kRCriqU0lZKhnf0M+fPgw\nKpXqpBCc8XC73T6xssFgwOVyERUVhVKpRC6Xz1lk29zcTFxc3JxNI5ci2trafOndpwMMBgODg4Nk\nZ2dP+PzSSy/ljTfeOC1IqR84Q3AWEk6n05c5Mzo6yuHDhykrK1vUMblcLvbs2cM555yzYMd0u92+\nULfS0lJfxITb7ebB94/w1y86SImScd3yREqS5MQHOxgxDpKfnz/vcx7pH+HmbdW43bDtlgqy59Dq\nvW/fPkpKSqZ9Y+0zWdmytZr+4TGe3FzGijTPD382vY1f5+ww8O0dNShlYp799lnEzWEBnglWu5N7\nnq/n8yM6/t/X87hhxdS3sOHhYV+16XgEB8DpcvPfbzXzRkM/t5+bzHfPTwt428FkdfBvzzfSqDXx\n6yvyuLTQ/wDDYauD/Z1D7OkwsqfdyOH+UQBCJCKsDhfRYWJ+ckE8a0sDayM/MjDK7bsacLhcPHFD\nMQXxgQVftvSPcsez9bjc8Pj1RbMeb6lUPhwOh0+sbDKZfK7LKpXKL7FyU1MTCQkJp4WT8emkJ4Kv\nKrWThbwXXnghX3zxxQmJBVqC8OsBcfr0zp1ELHR79nwRqA5kMux2O7W1tdhsNpYvXz7hhyIIAj9Y\nn8Xtq1PpNFjoNFhYnqIgQiYNWAeUFfNVbtOWrftpnkM45fgsrMmIjQxhx7eWERcZzO07a6hs0zM8\nPMy+fftISUkhKytrXgvp8tQofndJMgaLkxufWZisrRCpmD9fX8KFOWr+31tNbK/snPMxJt8PYpHA\nLy7L5ZtlcTz1RRd//KAt4PslMkTCEzcUUZ4s58evN/FaXe+M/9dqd1LZZuCRj9rY/EwN5z30Jd99\n6QAvVfegDJXyvQvS2HVLGbt/eC6PXF2AweLk0S/70ZvtAY0xKzqMbVtKCQ0Sc9uuemq6hgI6Xk5M\nGNu2lBEiEXHbrnqqZzneUtGuSCQSoqOjycvLY8WKFWRleewfWlpaqKqqorm5mYGBgQlBoeOxVOax\nEDjdnIxnmo83GuQMvsKZLKo5wLuQut1uXxbIYkIQBLq6uhak/XF4eJiamhqSk5NJT5/+DVoQBM7J\nUGJ3utlW2cXAiI1VaZEMGY0B728rw4K4MEfN3+t6eaVGy+osFerw47+J9PX1oVKpZjRICwuWsLEw\nhg+bB9m5p4sw6wDrzi4L+A07lDGKo6W802LiH419XJSrnrWd3R9IxCIuLoihdWCErbu7kElFVIzb\nWrPb7ej1euLiPGJkp9M54TpZrdYpmTuCILAmW8mQxcHOvRoMZgerM6MCWryCJCI2FHiyprbv0aAK\nk1KUEIHd6aJBa+Lv9X38+dMOfvXuEV6v76Ou20ScPITLimO55/xUfrIhi2+UxVGR4nGbFgkC6epQ\n4oPGeKvZxActOi7KUQeUhyWXSVmfp+aDJh3P79dSGB8RkCZHIZOyPv/Y8fZpKUoIn/Z4Op2O8PBw\nQkICr+otFARBQCqVEhkZSVxcHPHx8UgkEgwGA+3t7fT29jI2NoZYLCYoKAhBEBgYGEChUJwWC+bg\n4CARERFL6poEApPJE7I7efvwmWee4a677jptiOlx4FcW1RmC4yfcbreP4CwksQgUCzEOrVZLS0sL\nJSUlxy3jCoLA2elROFxekmOnMMpFfFzgvitRoZ5wyjfre3m5Wsu5mcrjdq/09fUdV1Qpk4rJCRmh\nsnOUD7scVKSpSQ0gggA8LfryIDdfX57Jy8eCPy/KjZ5TS/F0EIsE1ufH0KEzs7WyC7EI39aa3W5H\np9MRFxeH2+3GYrFM0A5NR3DAc81WZ0ZhtrnYtVfDwLCNNdnzD6sEj0Px2lw1NV1DvFDdwz8P9vPo\nJx28WN3D3o4hIkOkbCyI4Y7VKfzXxiyuW5bAWWkKEhUhM+ZHhbnNlCaE8Y+mIf55sJ/zs1UBkcbw\nYAkX50fz2RE9u/ZpyIoOO66Gxp/jfd6qZ9c+LZnqqccbHBxccgRnMgRB8PnrJCQkoFKpsNls9Pb2\n0tbWxtDQEGazGYVCcVK9d04UBgYGkMvlp83WzdDQEGKxeEIordvtPkNwpsEZguMnxhMcWBhisRAI\nZBwul4umpiaGhoaoqKjw+6HsJTkuN+ys0jBodvK1soVJTVeESlmb503g1nJOhnJWX5P+/n4UCsWM\nDy/vtps8XMbNFxbx2REdO/Z0URgfGVDO0ujoKDabjdzUeM7LUvFKjZbX63o4P1uNMiywt16xSGBd\nfgzdRgvbKrtwud2clRaFw+FgcHCQ6Ohoamtr6e3tpbu7m9HRUd/fzpSaLAgC56QrcLjc7NyrRWO0\ncn62ak5uwq5jrdv/PDjAX7/s4rfvt9Ku92zPGS0OcmPD+NH6TP5rYzY3nZXEqowoUpWyKS3gM8Fk\nMhEfGczFxcm8WtfLWw39nJelJCoA0hgaJGZDQTRV7UZ2VmlIigohJ4A4D+/x9nYMsaOqm0R5yATn\n7MHBQSIjI0+pxdS7WMbExJCYmIhMJqO/vx+j0YhGo8Fi8Vzj4OC5eVQtFfT39xMVFXVaVKMAjEYj\nEolkStfnM888w913371IozrpOENwFhKnWwXHarVSXV2NXC6flxOzh+QocTjsvNygRztk5cLc6IDs\n972Qy6SszYvh7cY+Xtyv4eyMKGIjpydfs72debfd0tLSSElJQRYkYWNhLJ+3ekhObmwEGfP03zGb\nzVitVlQqz1bammw1r9X28HpdD2uyVagCJDkiQeCi3Gj6hsfYVtmF1e5iRXIEfX19dHd3k5SURGZm\nJvHx8YjFYvR6/QSyI5VKp2zbCYLAWWlRiEWws0pLh97ChTmqGcMl3W43bToL7x4c4OndXfz63Va2\n7enm81YDDqebNZlKtpydyH+sz2TIYufzVgPJUTLOn2d1yGQyIRKJyEhQcV6mkr839PFaXR/npEeh\nDp//9xkiFbOxIJo6jYkdezSowqUUBiA89h6vXjPM9ioNUaFSihM8xxsYGDjlCM54CIJAcHAwer2e\n/Px83zb84OCgr/nAbrcjlUqRSCSnBOHp7+9fUjlfgUKv1xMSEjLBcNXtdrN161buuuuuRRzZScUZ\ngrPQGC8sPpUJjl6vp76+npycHBISEgJ6SC1LjqSvr5fXDhjpNlq4aEFJTvQxkqPlrPQo4qYhOQMD\nA9Pur/f29tLc3ExJScmElt0QqZhLCmP58qie7ZVd5MSGz6uV2Gw2Y7FYfNUSVXgQF+Soeb2uh1dr\ntKzO9E9DNBtEgsCFOWr0ZjvbK7sYNJmJx0hZWRlqtdqXsSOTyXzZRTabDZlMhhhsyGUAACAASURB\nVEajoaOjg5ERj2A7ODjYJ0xcnqIgNEjEjioNh/tHWZurRizyCJS7DFbebxpk655ufvNuK0/v7uKz\nVj1mm5NV6QpuXJnIjy/O5O7zUrkwR0VOTDgRIRIuzFGhH7Wzs0rDkMXBufPQ+XgJTkREBKpjmqy3\nD/Tzcm0vy1PlAZn3BUlEbMiPpqlvlB1VGmRSEeWz+CMdD1KxR4d0eMBzvCCxQEWKnMHBwdNiO6S3\nt5fo6GiCgoIIDQ1FrVaTmJiIXC7HarWi0Wjo7OxkeHgYl8s14f5aaujt7UWtVp82Zn96vR6ZTDbB\n1G9sbIwXXniB22+/fRFHdlJxhuAsNJYiwfGmuvqzmLjdbjo6Oujs7KS8vHxBWkDdbjfysX6Sk5LY\nXtlFp8HC2ryFITmRMinr82N450AfL+zrZmVa1BRPFJ1OR1hYmE8r4A2LGxwcpKKiYloNQfAxkrOn\n3cC2yi4yosPm1JoOHhNEs9k8IXNIGRbEReM0RKuOs73mDwRB4PxsFdoBA682GhhDylVn5SAIU0XG\nNpuN0dFRMjIyiI2N9VV3DAYDbW1tDAwMYLPZkEgkrEhXoZBJ2VGl4aOWQWq6hvjd+608+UUXnxzW\nYzQ7WJkmZ/MKT4XmnjWprM2LJi8ufELo6PhxrslSMmpzsnOvln6TjTVZyjndB+MJDniEvevy1Lx/\naIDn92spTYwkUTF/bYtELOLifDUdegs7qjS43G5WpMrnTfAlIoF1eWo0Ris7qjSMOVxkhNlOC3Fu\nT08PsbGxUyq7XrGy9/6SSqUYjUba29vp6emZIlZeCujp6SEmJmZR8gJPBKYTTZtMJv7xj39wyy23\nLN7ATi7OEJyFxmSCk5SUtOg/Yq1WS3x8/HHfnhwOBw0NDbhcLkpLSxe0XNvd3c03zitBIhLYXtlF\nh97C2lw1ohm2PuaCiBAJF+fH8O7Bfp7bq2FFWhQJ40iOTqcjNDSU0NBQn94mJCSEwsLCWR9owRIR\nGwtj2dtuZHtlF6mqUHLmkEJusVgYHR2dEqqoCJWyLi+atxqOv73mD1wuF4cOHaJAKRAWGcVrB430\nDY9xQbYal8s14f4bGxtjeHjYN6bxYtLExEQUCgUdgyO8Vd3B01+0868WA6N2N3qznTadhZVpCjav\nSOT+tRl8/8I01udHUxAfgVwm9es+FwSBVV5t1l4NHQYLF2TPvAU2GZMJDhy7/nlqPjmi57l9WvLi\nwklVzl/4KhYJrM1V0zc8xs69WobHnJybMf+uMrFI4KJcFYZROzv3ahgac3N+jvqUr+D09PQQFxc3\n63NFEASfv05CQgJqtRqHw0FfXx9tbW0YjUZf6/JiVk+0Wu1x53IqYTrdoU6n46OPPmLz5s2LOLKT\nijMEZ6ExnuDMpXJyIuEtJc/2ABkZGaG6uprExEQyMjIWdMzj9Ugr0qIIEgtsq+yiQ2f2VHIWgOSE\nh0i4uCCG9w4N8NzebpanKkg4Zpvv3Y92u93U1NSQmppKamqqX3MMkojYWBhDdaeRbbs7SY6S+Z1C\nbrVaGRkZmdYdVS7zkJx3DvTPWHnyBzabjZqaGuRyObm5uaxMjaS3t49Xj20Hnp+lnPD92mw2TCbT\nhDFpjFY+ahlkZ5WGhz7qYHuNjn29doYdYoriw7g4PYT0cCcHdC5CxS7uPieBJFX4vO8RQRBYmaYg\nWCJiZ5WGlnFbYMfDdAQHPK3+G/Kj+eKogV17NWSoQwNyKBYdq4qNWJ3s3Kuhf9jGeXOsNo2HIAic\nl6VkzOHmlQY9miEbF/o556UKf1+cxkMsFvscgxMTEwkLC2N0dJTOzk66u7sxm80AJ307S6PRBLwV\nv5QwnWi6r6+PyspKrr322kUc2UnFGYKzkBAEYQLB6e3tnbaEe7LhbZOeqSLT29tLU1MTxcXFU6oN\nC4Xx23XLU6MIkYrYVtlF26CZdQtFcoIlbCiI4f1DnkpORYqCRIUMg8GAxWKhra2N4uLiObuVBh2r\n5NR2DbG1spMEeQj5fghQrVYrw8PDM9q/R8qkEypPy1OjSJjD9opXIJ2Zmekj0i6XC6VDR0pSkodE\nThIJ2+12Dmv11Onc7KzS8Pv3W/nLZ5182KKjzzRGWZKc6yriue+iDO5bm8HXiuM5KzuOCwqTSVVI\nebF2gM+PDBJr72HMPILb7Z73YlSRLEchk7CjSsOBnmHW5qmnZJFNxkwEBzyt/hsLotnXOcSOKg0J\n8mDy5lBxmwxBEDg3w1Nt2lGlof04gmt/jndOehSGwX7+3jRMS/8oF+WqZ2yJX+oIlBQIgkBQUBBy\nuZz4+Hji4uIQBAGdTkd7e/uE7VKp1L8K4Xyh0WiWxMvoQmG6l9quri4aGxu56qqrFnFkJxVnCM5C\nYzLBWQrCtZlaIF0uFy0tLej1esrLy0+on8VkPdKyFAWhQWK2VXZydHCUdXnRC/I2G3aM5PyraYBd\nVV2UJUYyptcyMjLCihUr5j1HqVjExoJYGjQmtlZ2EhsRTGHC7Pokm83G0NDQtOnjXkSESLi4IJb3\nm/p5tqqL8mQ5SX6YzfX399PU1ERpaekEQ0KXy0VPTw9XnluETCpi+55uGrXD2Jwudu3V8tDHnbx4\ncHRGQrOxIIbixEhUYVP1ETmxEeTFhvNiXT+HR4O4tDgB66jJZwQ3n8WoODGS+MhgdlRpqO4ysT5P\nPWvL+GwEBzzbihsKomnQDrN9jwZlqMdgcL7wVptkUo/guql3hLV5gZESpdNARmI0u/b1Uqcxsc4P\nYrcU4TUyXShSIBKJCA0NRaVS+bZLrVYrWq2Wjo4OTCYTbreboKCgBX9pXAqmrAuJ6TRFbW1tHDly\nhK9//euLOLKTijMEZ6Ex3gdnqXgrTCc4Gxsbo7a2lrCwMAoKCk54lWk6wXVFioLwYDFbd3fROjDK\nuvyFIzkbC2L5oKmfHXu6yIwSsyw3FYVCcfw/ngUekhNDo3aYrbs7UYcHUZw4M8mx2WwY/XBw9lae\nPmweZNfebkoTI0lWTu+/43a7OXr0KH19fdMKpF0uF7VHNNTrRTRoTPQMWTkyYObjw3p6TWMUxYdx\nQaKIn15Rwv3HITTTIU0VSnFCJC/s7+HzjmGuOSeb7PQUlEolNpuNnp4e2tvbGR4e9ru6kx8XTqpK\nxq4qDXvajazLU88YxHo8ggPHupfyo2np93QvhQTYDQVQnixHHeYRXAdKSvr6+jivIIX06Ihjcx5i\nba7K7/DZpYITTQokEskEsXJwcDBDQ0N0dHTQ09OD1WpFJBItiFj5dCM43ura+N9eS0sLWq2WDRs2\nLOLITirOEJyFxvgKzlLxu/A6p3oXQ4PBQF1dHVlZWSdNBD1TR1l5soKIEAlbd3dyuH+EdXkxC0Jy\nXDYL8Y5eDg2Jea9tjNyYEPKSAt9+k4g921VNvR6SExUqpSRp+sXTZrNhMBj8iqgIC5ZwSWEsH7cM\nsqOqm6KEiClOyk6nk4aGBgCKi4uRSCQewjNo5t2D/Wzd3cGv3z3M6y1WPmweZGB4jBWpCrKjQ2kd\nNFOeFMEvL8kgTmImP33+b97JUTIqUiJ5sbqX9w4NcGGOiqiwkAlGcEFBQQwNDdHW1jatzf9kZMeE\nkRMTxrP7tHzeqmddrhpZ0NQF3x+CA57upfV5nm6onQvQDQVQmBBBUlQIu6o0VLYbWZc7MxGbDV7P\nlcJEBdnRYTy7T8NnR/RclKsmdJo5L1WcTFLgFStHRUWRkJBAdHQ0LpeL/v5+2traMBgMAYmVT0eC\nM7m6duDAAYaGhrjooosWcWQnFWcIzkJjPMGZ3J68WPB2EclkMjo7O2lvb6e8vHxKTsmJxGwt82XJ\ncuQyCVt3d3G4f4T1+YGRnP7+fg4dOsTyshKuXJbKvw728voBA0UJkQHHL4CnK+bighha+kfYuruT\niGAxZclTq0OTc6GOB1mQmI2FMT4n5by4CNKPmQx6TRejY2JwRsTx7sF+/vpFB798u4W/ftHBxy2D\nGCx2VqQqWBXt4DfXreT+dZmsy1WyoSCGBHkwu/ZqqdOOUK4WkRgfWC5YgjyEs9IUvFzbyz8a+7lg\nXGTC5MVIpVJht9t9Nv8mk8nnizK+cpiuDqUoPoLn9/fwYYuOtbkqwiZlTflLcGBqN9TImJNVAXRD\nAeTGhh8jJVo+O6Jnbd7cSUlfX59v6zpDfawiVq3lX02DXJijmrbFfiliMUmBWCwmLCzMJ1YODw/H\nbDbT1dVFV1cXo6Ojc9KHnW4EZ7r51NbWYrfbOe+88xZpVCcdZwjOQsPlcvnSmL3dO+PNlhYDBoMB\niURCW1sbdrud0tLSk75tdjxPoNIkOVGhUrbu7qS5b5iL50Fy3G43ra2t9PX1UV5e7iF1QWLK1bC3\na4Rn92kpCDB+wQsvyWkdGGVrZRehQeIJoZcwMRfKX8jGmQzu2NNFpjoMndHEMx/U8+lAMP+3e4Bn\nvuzk08M6zDYHZ6cruemsZH60IYd/X5vJxfkxSId7KMnNAL7ywcmLCydNKWPXXi0HBu1cWpxAsJ/x\nCDMhNjKYVRlRvFbXy5sN/azOjJo2gsLbOeOt7oSEhGAymab1RUlRhh6rDvXw7kFPdShy3II/F4ID\nX3VDDVsd7NyrZWDExnmZ8++GAo6REg8R+1fz4JxDPycLQJOjZCxPkfNyTQ9vHxhgTbbHf2ipY6mQ\ngvFi5bi4OOLi4nzO3W1tbfT39x9XH7ZU5rJQmG4++/btQyKRcPbZZy/SqE46zhCchcZ4gmM0GpFK\npVPyQE42+vv76erqIiEhgaysrEXxevCnZb4kSY4yVMrWyi6a5khyHA4HdXV1SCQS3/aNF3bLKOem\nyGgYdEypjAQCTx5UNO06M1t3dxIkFlie+pXg15sLFR8f7/cxbQ4Xh/tHEYkEDmiHeb2ul9caBmjU\nuXAhYnWWki1np/CfG3O498IMLi6IpTAhEkXoVw/u8WRyvNFfdkwYKXIpL9fr+PKogfWzaF38RXR4\nEGuylLxR389r9cePTPDa/I/farDb7T5fFJPJRGy4lDW5sbzWMMDbBzyBmt4Ff64Ex3vOczOicDg9\nGVtdRisX5MwtY2sykqNkLE/1kJJ/Hphb6Of4Co4X8fIQVmUoebWul1dqelidqQwoeuJkYKmSgvHO\n3YmJiSiVSsbGxnz6MJPJhNPpnCBWXqpzmS+mm8+XX36JXC6noqJikUZ10nGG4Cw0xhOcoaGhOT+M\nFxrePeqkpCTS0tIWbRz+emaUJMlRhQWxdXcnh3qH2VBwfJIzOjpKdXU1ycnJpKWlTSFRo6OjCC4H\nm1bn8cWxykhOTDgZAfikeCEWCazLi6ZT7wm9FAmw8liyt9PppL+/n4SEhBn/3mJzsr/TyOu1PTz2\nyVF+8XYzz+/TUNVuQCUTIRLc2Jzwk405PHRNMevyYsifxVhvcgbaZCfjZLmUSIeRd46Y+eSInnXz\n2GKZDGVYEBfmqHyRCStT5cT6GZkw2RfFW92x6HsoVAp82mXn7/V9nJsRhSo8aF4EB45lbKV7PJgm\nx0/MF/HyEM5J91Sw3mjo59wZKliT0dvb6+twcbndHOwZ4eWaHrZVdtNttGJ3uvnHgX6WpygCip44\n0ThVSIFEIpmgD/PeY52dnWg0GsxmMyMjI6dVm/h01+aTTz4hISGB4uLiRRrVSccZgrPQGE9wvJ0k\nJ1Pr4oU3jqC/v99nl74Y4/BiJlv36VCcGEl0uIfkHOwxcXF+DJIZOla8epuioqIZPXy8qd7xMWou\nKYxl97GMqayYMLKiA6+uiY6RHI3RyrbKLtxuNyvTonC5XPT19U0gOMNWB5VH9bxcreFPHx3lV+80\n80pND3s7DESGSFmXF8O3zknmyiQbNy6L4buXlFHXPcTz+zV+tabDzBUc77+lVgPrK7J5YZ+WD5oH\nWZurnqJ1mSsUMilrc9W8e2iAl6p7KE+WT3CT9geTqztZSTGURot5r8XIKzVa4jASKtgDupcrUjx6\nrx1VGhp7hgNu0Y6JCGZNlpI3G/p5tbaXs9IUx43eaOvS0jwsYUeVll+8c4TtVRr2dw6RqAjhuop4\nbj47iX0dRl6o7qEwPoJkP2wDFgOnCsEZj/H3WHx8PDExMTidTgYHB+nr60On0/mCQk/V4E232z3t\ntfnggw/IzMwkLy9vkUZ20nGG4Cw03G63j+CMjIzgcDgCbk+eK2w2my+OoKioCIvFgtPpPOnjGA9/\n3JTHoygxktiIYJ7Z3Umj1lPJGU9yxrdLe/U2M2F8qnewROTLmNo+z4yp6eBN9u41eZK9HU5P105L\nZw+HR6Q8v1fDQ/86wm/ebeHN+l4aNCZiIoK5tCiWu85L578vzeXmc1JYliBjqLOJnMw0UlNTCTo2\nXm9rujJMSkni7Iv78QjO4OAgy/PSWJYi58XqHt47NMBFCyBujQyRsD5PzQctg7ywX0tRQmCLs1gs\nJlEtZ11+NO826Xi/zUK2XECwGOnt7fW1CQcHB8/pzbvkmPfOzr0a9nUOHdd753jw5Iup+OfBAV6q\n6aEiWT7FlbrbaOGthn4e+7SDJ6tN/POQji6jhbPSorhtVTL/fUk2m1ckUpEiJ0UpY0NBDJ8e0fPs\nPg2Z6jAy1Iur45sOpyLBmQzv/WM0Glm2bBmRkZFYLBa6u7vp7Oz0BdEGBQWdMjEO071YAbz77rsU\nFRWRmZm5SCM76ThDcBYa4ys4ZrOZsbGxCUnVJxpDQ0PU1taSkZFBSkoKgiAsyjgmo6+vD5VKNae3\nosKESOIig9lW2UmDxuQjOQ6Hg/r6ekQiEUVFRcclTZNDL4MmZUylq0MXhOQIQE5MOM19I/y9vpdn\n92p5tcXKOwf6aekfIU0VylWlCdxzQTo/vTSPG1YksSpTRZoqlGCpGJ1OR2Nj4xS3ZV9ret8w23Z3\nzdi15cVsBMflcjEwMEBcXBwJ8hBWpil4paaHdw4OTOiEmi/CgyVcnBftyYXaqyE/NjzgzjW5TMq6\nXDUfNOt476iFs7PjOLcsz7cFePToUYxGo09X4Q+Jzo8LJ10l49m9WnYfNQasR/JGb3zQPMjz+7Tk\nx4WjG7Xx/P4efv9+K49+3MHnrQbEIoGVsQI/uiSfBzZmc0lhDLmx4VNa4kODPK7MezuG2FHVTXxk\nMHlxi6vlm4zTgeCARyvnbQbwBoXGxcURHx+PRCLBYDD4zCyXYlDoZDidTgYGBqZo/9544w3OPvvs\nJREAfZLgF8E5NXoWlyDEYvGEtvETja6uLrq7u6dUNEQi0QQDwsXAfMdwzbJEBAH+641D/Ntzdfzh\n8iyaDzaSlpY2q7ZlPARB8JFOL8KDJTx1Yxl37qrl/pcbcbrgshL/u50AnC43h/tH2N9hZF+nkX0d\nRvqHxwCQigWGrA6yo0T84hsVFCZEzlglcLvddHZ20tvby/Lly6f1TQqSiPjTtSX84JVGfvPuYWxO\nN3ecl+bX3GdDaWIkf91cwp3PNXDL9jr+emMJ6QESEnV4EE8fO+b3Xj7I767M4+L86eMq/EW8PISt\nN5Vyy7b9/Nf7WsLlUazJiiEmJga3283o6Cg6nY4DBw7gcrmIiopCpVIRGRk545v3xoIYQiRi7n/1\nIN/aWc+TNxQHJOwNlojYvCKRP33Uxr+90Ah4/HiWpcj5Rlkca7JUpCplVFdXU5Iin3Hb1Qu5TMqT\nm4r591cO8tO3Whgec3DTyqR5j28hMfn3dCrD5XJNe4+IRCKioqJ8TuFjY2Po9XpfZSc8PBylUolK\npVp0M9fxcDqd00oBLBbLonf0LkWcqeDMAeMrON7k5pmyiBYKTqeTAwcOYLFYKC8vn7JAWq3WaVOt\nTyYGBgaQy+XzMj0siI8kQR7C1t2d7G7p4eaLiomLnTn+YDJmug7eSk515xDbKjtJOk6Qps3hoqZr\niDfre3jys3Z+8XYz2yq7+OSwDpPVwYpUBTcsT+K+dVk8sDGHYauDj44MIZWIuDBHPS3ZcLlcHDx4\nkLGxMcrKymatcIlFAuvzvYLmTsCj9Zl83PEVnMmk0muONv7tLjoimPMylbze0HdM0KtE5YdYdjaE\nHMuF2ts5xM4qDUmKEHIDyIUCT1WjNMpJdY+V5/f3khkdSqY6zNcmrFAofLoKt9vNwMAAbW1t6PX6\nGas7aapQShMjeWG/lvebBrkoV+V3y7fb7aapb5TXanv53w/b+P37rXx6RE9YsASZVIzN7uInG7L4\nzw1ZlCZG+jrB5hJS6XVlbtOZ2VGlwb0AhoULAbfbTU9Pz2lRwfEnUgWmipVlMhnDw8N0dHT4xMrA\nnLdMFxpjY2OYTKYp83nxxRf52te+NucsvlMYZyo4C43xN/bJqOCYzWbq6+tJSEggOTl52h+WSCQ6\nqZWk6RBIFcntdlMaaeGOMhlP1lr44ZtHeXxT2bROtzOde6Y3ztAgMU9uLuPu5+r48WsHcLncfKPc\nUxkatjqo7jKyv8PI/k4j9RoTNodnDpnRYVxSGMuyVAXLUxQkKkKmfPf/uTGbgb4entvbjd3p4heX\n5U9J9q6trSUmJsbvdHOJWMTvv1FIkFjg/z5uw+Zwc9+6TL8fqNNVs8DTQv7MjaXcvqueW3fW8cQN\nxRT4ESg6GyJCJDxxQzHffbGRB95oZszh4upy/1vmp0NkiJg/XJLIzz4e5AevHuKXl7m4rHiiaaFE\nIiE6Opro6GjcbjdmsxmdTsfBgwdxOBy+6o5cLkckEnF2ehRP3FDMv73QyM3b63hqUwkpyum1Q6Nj\nDirbjHzWquezI3r6R2wAFMaHc+fqFNZkqSiID8dqd/G9lw/wi38eweFys2nFV0RgrtWPIImI31+V\nz8/fbuHxzzsZHnPwH+szA2pzDxRut/uU0aQcDzNVcGaDIAhEREQQERFBWloaDocDo9HIwMAAR44c\nITg42FfdkclkJ5XwzDSf0dHRMxWcaXCG4MwTJ5rgDAwM0NLSQmFh4awC4lN5i8rhcNDQ0IBMJuP7\nV5xDZkYfP37tAHc+W8vjm8r8anH2pmzPBFmQmMc3lXLbjhr+8/WD/L2uB6PFTnPfCG63Z5uhID6C\nG1cmsSxFQUWKwq92YJFIxDU5UtJTk/nzJ204nG5+fWUBYpHA8PAw9fX15OTkzLnCJxYJ/OqKAqQS\nEU9+3o7N6eLHG7IDfohmqEPZuqWU23bW8+1d9fzlhmJKZ8na8gehQWIeu66I7798kJ+9fZgxh4vN\nKwJ76w8LEvPEDcXc+9IBHnijGavdxTUV0xMnQRAICwsjLCyMlJQU30LU39/P4cOHkclkKJVK8qNV\n/M27Vbejjqc2FZN5zEagXWfms1Y9nx7Rs69jCIfLTXiwmHPSo1iTpZzWsyY0SMz/XVvEf7x2iN+8\n18rImJPbz/3qBWSu10oiEvjZ13KICJGwfY+G4TEnP/tazqIlkbvd7kWvIi0U5kNwJkMikaBWq31V\ncovFgl6v58iRI1itViIjI1GpVERFRZ3w8OXZtqgW25NtKeIMwZknThTB8Tr2GgwGVqxYcdz935Ot\nBZoO8yE4o6Oj1NfXk5qa6tPbXFEajyDAj149wJ27anhic/lxSc50FRyXy83hgVH2dxip7jJS3WlE\nY7QCUNlmIEMdynfOz2BZqoLSJPm8vWIEQeB7F2UiEQn86aOj2J0u7l8dTUfbUUpLS+f9wBGJBH72\n9TyCJSK27u5kzOHivy/NnVAhgqkL0UwVHC+So2Rs21LKbbvquePZBh67rpDlKYF134VIxfzpmkL+\n4/VD/Pa9Vqx2F7etCkzo6CEQhdz3yiF+/s5hrA6nX/qU8QuRt7qj1+tpamrCbrfzs/Oj+NknejZv\nrWFNlooDPcN0Gjz3RYY6lBtXJrImS0lZUuRx28uDJSL++M0C/vutZh79pJ3hMQf3XZQ+b3IgCAI/\nWJtBZIiE//ukgxGrg99flR+wI/V8cIbgzA6ZTEZiYiKJiYm4XC5MJhM6nY6Ojg6ftkelUhEREbHg\n3+NM87FYLIseG7QUcYbgzAEneovKbrdTX19PeHg4y5Yt8+uHeSpWcLzVqaKioimeJ5eXxCMSBH74\nSiN37Kzhic1ls/q4CIKA1e6kqt1Adadnu6m2awiT1QF43HgrUhRsOTuFkoQI/vJZO58e1hEVKuWc\njIXpPLvnggyCxCIe/NcR+nV6nrzlbEJDAjNxEwSBn2zMIUgs4q9fdGB3uvj5ZfkBj9Ur6P32rnru\nfq6RP11byDnpUcf/w1kQJBHxh6vyeeDNZh7+qA2r3cm/rfFvW24mhEjFPHJNAT96vYnfv38Ui83F\nHatT/P778dUdUUQ0nxwe5OOD/YzYnNic8M7BAfKig/nhRSlclB9LkmLui4NEJPDLy3IJD5awtbKb\nYauDjer5/xYFQeDO1alEBEv4zXut3PNCI3+6pvCkh3SeCFKwWDjRcxGJRCgUCl+V3Wazodfr6e7u\nZnh4mLCwMN921kIEM89UwXE6naest8+JxBmCM08sNMExmUw0NjaSmZnpV0L1iRrHfOAvwXG73bS1\ntaHT6WatTn29OA6RAD945QC376zlyRvLJohD9aM2H5nZ127gQM8wTrcOgKzoMDYWxrIsRc6yFAVJ\nURP3yB9LlPP9lxr4+dvN2J0ublmVGuDsPQ+XFRFGbi2X83TNEPe/eohHri0JyH8Fjr3Vr88iSCLi\nz5+0YXO4uDx25grN8So4XsREBPPMTaXc/mwD33mhkf/9ZgFrsgMTJ0rFIn5zeR7BYhGPf96J1eHi\nvovSAyI5UrFHn/LTNz1VEovdyb0XTHWzngybw0V11xCfter5vNXA0UGPQDRREcI3yhIoSgjn8c/a\naTPYEI0O0nN4AItCgUqlQqFQzGlBFAkC/3lxJuHBYp76oovOWBHLlruRiuc/700rEokIkfDTN5u5\nfVc9f76+KOAW/7ngdKvgnMy5BAUF+TKzvB2Aer3epxFTHLvP5HK5X8aokzETwTmD6XGG4MwTC1k5\n0Wg0dHZ2UlpaSljY3CIGThWC43A4aGxsJDg42K/q1KVFcYDAD15p5Fvb3LpmMgAAIABJREFU9nNl\nWQKNWhPVnUO06zwLllQsUBQfwaWZwXxtZR5lyXKiQmff0guSiHjk2mLuf9nTkm13ubl9ddpcpjsB\nFouFuro6kpKS+FFZEkkJXfz8H83c83wdj15XEnAelHcbLEgs4uEPW+mJFXP2Oa6A9RmqsInt3g9e\nlc/avMA68cQigZ99PYcQqZitld1Y7E5+siErIMGsRCTwq8tzkUnF/PXLLix257Qi3J4hq4/QVLYZ\nsNhdSMUCy1PkXF0ex+pMJWnKr8juuRlK7nqugYf2mfnd5blkKMUMDg76RKQqlconIj0eBEHg3gvS\niQiW8NCHbXz/5YP88Rv5AV37y4pjCQsS84PXDnHLjjqevKGY6OO4KC8UTieCs5iCaUEQCA8PJzw8\nnJSUFJxOJ0ajkcHBQVpbW5FKpb7qTmhoqF/f+XQVqdOprX+hcaZNfA5wu92+hXxyLtB84G0jHhkZ\noaysjJCQudnfe9Hd3b2oBk8mkwlBEIiMnF60ajabqa6uJiEhgYyMDL8fntkx4WRGh7FjTxcft+jQ\nGq0UJERwdUUC370wg59emsdVpTGonTrOLclG5ueCMj5Ic1tlFxKRwIq0uW/TtLW10dfXR35+vq/q\nVpIoJy4ymK2VndR1ewwMA4kL8GJFWhRhQWJerB+kuW+E9XnR4P7qXvRiLgZtIVIxG44Zzu2s6iZF\nKSM7JrAML0EQOC8zCovdxa69WnqHxjg/27/wy5myqARBYE2WkpExpyc1fNjG2ekKqrtMPL9fyx/+\n1cojH7fz6RE9NoeLi/OiuWt1Kj+9JJtvlMVTmhhJVOjEfK/QIM/cqzqM7NqrJTtByaqCVBITE5HL\n5RMcb0dHRwFPi/Bsi2V5spzRQQ1vtoxS3WViXYAuyunqUMqSInlhfw/vHhrkghwlkSEnvpJjs9kw\nGo3Hba0+FWAymRYtUmcyRCIRoaGhvqBQhUKB1WpFq9XS0dHhG+v4oNDJMBqNvpb28XjmmWe4++67\nT8Y0lgrOtIkvNBbyrcZqtVJXV0dsbKzfbcTTYbY26ZOF2So4g4ODNDc3T6u38QcbC2Nxu+H+lxtI\nUcr4/VWFRI4r1zsc86ukScUi/vCNQiQigYc/bMXpcnPPBf5vqWg0GsbGxli9evWUt/xrliUiEQv8\n5PWD3LGrlsc3lQacBwVw67mpdHe2s6tpgO+8UM8fr8qbIEKdzz0UGSLhiRuKuOfFA/z49SZsDhdX\nls7NFHEyBEHgvovSCZF4tqvGHC5+dXluQERPEARuXJFAu87CK7W9vF7fh9Pl9pntXVkSx3lZStJV\n/rftymVSntpUwr0vHeAnbzQzOubk+uUJyGQykpKSSEpKwul0MjQ0hE6n4+jRowQFBU14656M85Mk\nFOVm8ZM3mj3datcXExU6f1JyVloUf9tcwt0vNLJlWx1PbiomawGCZGfD6dQmvpTnEhISMkGsPDw8\njE6no6urC2CCWNk7hzMVnLnhDMFZBOh0OpqamigoKPA5aZ7KEIlE2O32CZ+53W7a29sZGBiY0cHX\nX1xSFItUIvD9Fxu4ZXs1T99UgeLYouGv7mQ6SMQifnuVh+Q8+vFR7C4X379odt8Zt9tNc3MzVquV\n0NDQGbcwripLQCIS8aPXDvDtnTU8tbmc8ADzoADWpUrJzc7kf95q4rsvHeDhbxYETJ7CgiX85foi\nvvfSAX76Vgs2h4trl/nnJD0TBEHgnvPTCJaKeOSjdsYcLv5wVf6cKho2h4v9XUN83qrni1YDrce0\nNBHBYobHnBQlRPDYtYV+tfXPBG+r+w9ePciv3j3CiM3Bt1d9JWYWi8UolUpfFMrkFmGFQoFSqSQq\nKsr31n1JYQxhQWLue/UQ39rhISXHC+mcDcWJkTxzY6mvzf3x64spSgjMx2g2nE5bVKeKYFokEiGX\ny30vgXa7HYPBgFarxWQyERoailKpZGxsbIqMYWxsbN7V/9MdS//Kn0bwhki2trayfPny04LcwNQK\njsPhoK6uDovFEjC58WJdXgyPXldCS98I39pejcFsm/bcc4XXd+baZYk8/mk7D75/ZEbCZLfbqa6u\nRiKRUFpaetxF4LKSOB66uoj6bhO37qjGZLHP+v/9xXXLk/jNlQVUtRu554VGRsccAR9TJhXz6LVF\nnJ+l5Bf/PMKOqu4FGCl8e1UKP744kw9bdNz70gGs9tn1YlqTjef2abnnhUZWP/QldzzbwHP7tERH\nBPGDdRm8fscyvrh/FT/ZkEWjdpgf/b0Jsy0wDVqwRMRD3yzg0sJoHvmonUc+apvxHvC2CJeUlLB8\n+XLUajVGo5Hq6mpqa2ux2WyMjo5yXpaSv1xfRI9pjC3b6+gyWAIaY3ZMGNu2lBIeLOG2XfVUtRsD\nOt5sOENwFh9SqZSYmBjy8/NZuXIlGRkZuFwuBgcHOXz4MC0tLWg0GoaHh3nsscdoaGigsLCQhx9+\nGAC9Xs/69evJzs5m/fr1GAwGwHNt7733XrKysigpKaG6utp3zm3btpGdnU12djbbtm3zfb5//36K\ni4vJysri3nvv9f02ZjrHUsIZDc4cIAjCBEFvd3c3iYmJfj0MxodIFhcXL2hLX6BaoEAxPvBzvN4m\nM9N/F15/kK4OozAhkp1V3XzcMsiGghhCgyQBz18QBC7IVqM329le2cWw1cHqLNWEsY+OjlJdXU1q\naqov6NSf82bFhJMbF86OPV18dkTHhoLYgMSn3nPmx0WQLA9i114NVR2e1OxgiSigkESJSGB9vpqj\ng57ogCCxQEVK4NqFksRIYiKC2FmlobbbxPq8aN92lcXuZHebkWf3avjT5z3sqDXwWasep8vNxfnR\n3HVeCj+9JJtvlsVTlhSJMswThFicEEGCPJhdezXs6xhi3bH5zxdikcBFOWoGR23s3KvFYHawOnNq\nVMZ4CILgMxP0aip6enowm810dHQglzg4N1PFO01G3mzo59zMqICqTXKZlIvz1XxyWMezezXkxIQH\nnC02HZZC/MtCwWAwEBQUNOfmjaUEb1yJXC7HbDaTmppKaGgoe/bs4cYbb+Tdd98lJyeHbdu28dhj\nj7Fq1SoeeeQRCgsLefHFF9FqtfzrX/9i/fr1vPPOO7zzzjvs2bOHiooKvvOd73D77bej1+vZvHkz\ne/fu5Y477mDTpk1s2bIFmUzGlVdeyV/+8hd+97vf8eijj6JSqcjOzuZ//ud/pj3HScKZNPETgfEE\np6enh9jY2OO27Q0PD1NTU0NycjLp6YG1zk6HxSY4FosFi8WC2+2msbGRwsLCE5bRlaYKpSQxkl1V\n3XzUPMCGglh0fdqA5y8IAudnqzBZHWyv7MJotrMm20NyBgcHOXDgwJQkcH+/9wx1GIXxE4mZv1EU\nkzH+nBmqELKiQ9m1V8uXbQbW56nR9fcGlCEkFgmszVPTZbCwc692wfKRCuIjSIoKYUeVhs9a9QxZ\nHDz5RSe/fOcwbzb0c7h/lCxVEFcWRvE/lxVyz/lprMlSkqYKnVG7kxcXTqbaM//PjxpYl6f2W2g+\nHUSCwPlZSix2Fzv3atAYrX4LpMFjNNjb20tFRYUvrVpsGyE7fIzPu228VtdLSWwwCVFh8/4+w4Il\nbMyPZk+7kZ1V3SQuQA7YZHh/z6dDrpFeryckJOS0iTHo7+9HqVQil8vJzc0lLi4Oo9Hoa1jZs2cP\n77//Pl988QWPPPIIcrmczMxMfvzjH/Pd736XBx98kCuuuILi4mKSkpJ48MEHufrqq/nggw8Qi8Vc\ne+21yGQyX1u7Wq3mySef5Le//S2CICAWi/nnP//JZZddxne+8x0efvhhIiIiJpzjJMEvgnPq1e4W\nGXM1++vp6aGhoYGSkpIpEfcLicUUmgmCgMFg4OjRoyxfvvyEdyyszlLxxOYyOg0Wtmzdz9DYwszd\na65366pUdlZ18z9vNnG0rc03r5m6xPzB+TlqHt9USofezE3P7GfgWDL5fDD+Wq/NVfPw1QW09I9y\n2856TLbAvwuJSODXl+dxVWksj3/eyf9+OPOWjT8wWR283zTA/s4hFDIJTX2j/OnjdrqNVq5blsAT\nNxTx2X3n8LO1cVxZoCB1hqyo6XBxfjSPXFPI0UEz39pR50t8ny+8AunvnJ/Kmw39/ODVg76MMn//\nHr5Kq87KyuKKC1ay9aYSQqUi7nm5mZ3v7qGpqYmBgQEcjrlvLypCpTy1qZjlqQp+8kYzz+7VzPkY\ns+HMFtXSxeT5FBQU0NTURFpaGn/7299IT08nIyMDg8FAUpLH/TsuLo6+vj7A0xwx/qUsKSkJjUYz\n6+fe44z/HKCvr8+3po0/x1LC6XPlFwGzERyXy8WhQ4fo7e1l5cqVJzQnJBChbaBwOp20tbVht9sX\nTG/jD87JUPLk5jI0Rgu/3WulzxTYwuaFIAj8x8VZ3LE6lRf2a/jDx1rKK5bNOK+5fO/nZqp4cnMZ\n2iErN23dv2BjPj9bxf9dW0i73sLv944xeCwkMhCIRQL/72s5XFcRzzOV3fz2vVZcfs7V6XLToDHx\n+GcdbNlWy5qHvuS+Vw7x7qEBKlLkXL8sHqkIgsQC3zo7iVUZyoC27daM07vcvL3OF8sxX3gdhX98\ncSYfNOv47ksH/Nb5zHQ/ZMbK2fmtZSQoQnmkzsFRaygmk4na2lqqq6vp6OhgZGTE7/spLFjCY9cV\ncWGOit+818qTn3cu2DPgDMFZuphs9Jebm+urwGzcuJHy8nISEhImWBoIgnDCr+fJOMd8cPpc+UXA\nTATHarWyb98+QkJCKCsrO+EBbItl9mc2m6mqqvJZlZ/sB8lZ6Ur+elM5BqubLVv302cKbGHzwmaz\nsTpSz41lSj5st/DAG4dwuqYuHvMhlmelK3nqxnL6h8e46Zl99AzNbcwznXNVhmeR11ndfGtH3YKQ\nJ5Eg8MDGLLaclciz+7T8/O3DM5Kc/uExXqvr5YevHeL8h3ezaWstf/60A5vTxa2rktl6Uymf/vs5\nPHx1IQ9szOYvNxSjMVq5ZUfdnL+D6bAiVcFTm4oxWR1s2V7rcy8OBJtXJPLzr+dQ2WbgrucaGLYG\nJuaOjfQ4SGeqQ3ngnQ5arBEsX76cwsJCgoKCaG9vp6qqikOHDtHf33/c6o5XHH15cQyPftLOHz8I\nrNLmxcl2/z2RON0IznTzOe+889iyZQuffvopUVFR5OTkEBsbS09PD+DZRfB6GiUmJvra0OErHels\nn3d3d0/5HJjxHEsJp8+VXwRMRyz0ej379+8nMzPzhOht/B3HiYZOp6Ompob8/Hzi4+MXLQ9reWoU\n9y8LZmBkjBuf2R/wYmkymdi3bx+ZmZn89KoK7r0wg7/X9fIfrzbicE6c43w9iJanKnj6pgr0Zjub\nn95H9xw6bGYjVStSFdxXEcTAiI1bdtShXQDi4A2BvP3cZF6p7eW/3mzG4XJjc7jY3Wbgjx8c5RtP\n7Wftn/bw32+1sK9jiPOzlPzuyjw+/v7ZPH9rBfdekM6yFPkELc1ZaVE8uakYg9nOzdvr6NAH1mUE\nHjHz0zeW4HB5SF5z30jAx7yqNI7fX5VPg3aY23bWox8NrDoWFSrlbzeWUJoUyY9eb+Kl6h6Cg4OJ\nj4+nqKiIFStWkJCQwMjIiK+6097ezvDw8LTXXSIS+MVluWxansC2Pd38v38cnpaMzwVL2Ttmrjjd\nCM50UQ29vb2EhYXR2dnJq6++yqZNm7j88st9nVDbtm3jiiuuAODyyy9n+/btuN1uKisrkcvlxMfH\ns2HDBt577z0MBgMGg4H33nuPDRs2EB8fT2RkJJWVlbjdbrZv3z7hWNOdYylBmOMD+v/3jkJ2u923\nmDc3N6NSqXzpxR0dHfT19VFaWnpSfQlqamrIzc09KUK68fMsKysjODgYs9lMS0sLZWVlJ/z80+HL\nL78kLKWQW7dXowgNYvstFSTOIzyxt7eXo0ePTonMePKzdv74ryNsLIzhwW8W+RbqqqoqKioq5l2h\na9SauHV7NaFBYrbdvIxUPzpi9uzZw7Jly5BIJNhstinbCXv37iUkIZc7n28kPEjM324sITkq8JRh\nt9vN795vZddeLeowKSM2J9ZjcQgVyXJWZURxbkYUOTFzE9Ae7BnmzucakIhE/GJtNJnq0IC1am06\nM7fvqsdsd/GX64soTZy/dsqLz47o+fdXDpIgD+apTSXERk6/ZVlVVcXKlSuPezyr3cl9rxzis1Y9\n969N55azpxere8MbdTodIyMjREREoFKpUCqVEzox3W43f/60g8c////YO++4tu57/b+PFggQQ4M9\nbPYwxuARO8OOt52kSdo0SZtmtk3qtml7e9t7b2/TmdvbpLe57W17f01nHG/HGc2qndns2AZjzLTN\nXkICIQnEkITW7w9ZChiBBQLj5Pr5k5d9dI7O0fk+38/n+TxPJ5vz1Tx6U/6sXZR7e3ux2WxkZISe\n07bQqKurIzMz8xMjMq6oqGDFihUTfmNlZWVYLBYSExP51a9+xcaNGzEajdx22210dnaSkZHBoUOH\nUCqVeDweHnzwQV555RUiIiLYuXMnK1asAOCJJ57g5z//OQAPPfQQ9913HwAnTpzg3nvvxWq1sn37\ndn73u98hCMKUn3GRENRL5jLBmSHGE5zm5maio6NRKpXU1dUhk8nIz8+/6DuG6upqsrKy5lXnA97d\nQ319PWKxmIKCAv912mw26uvrWb58+bx+/lT48MMPufLKK6nRDvKl3VUowiXsund50Au7x+OhpaWF\nwcFBli5dGnCEf+eHHTz6ahObCzT86rPFyCQiKioqKCkpmTI0NBic0Q9x766TSMUidt1bRqZ6+nHW\nYAjOypUr/cRBJhbxlzuXzmqceGDUwbH2AY62mvmwzYx+XNsrJSaM727K4srMuJDTrlsMI9y/vxa7\nw8nPt6awrnhxSMcD0A7YuH9/Df3DY/zvbUtYtSg25GNWdAzwjUP1fpFvoOcrWIID4HC5+f6LZ3ml\nwcD9V6XxjXXTB4l6PB6/263JZALwuyorFAoEQWD38W5++UYrV2bG8etbCmd1b/R6PWNjY6SnB5/e\nfqmitraW7OzsoDLFPg4I9Hzt3LkTgG9+85sLcUoLhaAIziendrcAEIvFDA8PU15eTnx8PIWFhQtS\nDr0YLSqr1UpFRQVxcXEUFRVNuM65DB6dLTweD0tTYnjynjKG7U7u2nmCTtOFdRg+U0Kn00lZWdmU\n/kT3XZnBQ9tzef20gW8eqmHM6Z4TcXd+ooLd9y7H7fFw185Kmvqmb6sE+5mFSQr+emcJTo+3XdNs\nGLng/3G43JzoHOC3b7fx+SeqWPvro/zL307z+tl+ipMV/Gh7Dke+vpKHtmajHbRz6GQPc9GBzdJE\n8uRdJYRJBP71iJaqrsGQj5kSG86uu0pIiQ3na0/V8W6TMeRjrsyI5a9fWMqw3ck9u6tpCeI7nQ5S\nsYhHb8rnlmWJ/PmDLh65gJDbl/e2ePFili9fztKlS5HL5XR3d1NeXk5DQwNbMiT8aFsWx9rMfOVA\nLZZZ6IY+SW2dT9K1TIWRkZF539x+XPHJvvPzjJGRETo7OykuLiY5OTRr+1Aw3wTDaDRy8uRJ8vPz\nA/q+LDTBGb/oFyVHs+ue5Vgdbu7cWelPHg8EH2nTaDTk5+dfsLVy9+p0fnx9Pm+d7efrB6txuOdm\nPD83IYrd9y5HEOCunZWc0Q9N+W/HX+uFzjc3PpKdd5YgEgS+uLeGM/qJ5Mnj8dBuHGV/hZZvHKrj\n6l8d5b49NTzxYRdSscBX12aw995lvPvtNfzqlkJuLUsiNVbO51Yk8x835HK8fYAdB2oZngMn5XSl\nnF9uTSZOLuYrB2o51ha6K6pGEcYTd3pFvd96poFXTxtCPmZRsoKdd5bg8cC9e6qp1028VzPV3IlF\nAj++Lod7V6dy4EQPPzyncQoGUqmUxMRECgsLWbVqFampqVitViJGeliVKOZUt2VWlgSXp6g+XrBa\nrZ+YFtxc47LR3wzh8XhwuVw0NjZiNptJSUkhMTG0cMJQMV9mVj69TVdXF6WlpdPuEhYy0bynp4fk\n5GT/i0yjCGNtjprnqnp4vlrHtblq4iImtpHMZjM1NTUUFhbOSP1fnBLtTwtvMbvYtiQRedjsW1Q+\nKCNlbMjT8FKNnmdO9nBlpjJgfpFvWkEikeB2uyctRuc7GcdFSFmfq+Lv9X08e0pPUVIUDfph9pRr\nefS1Fv70QRfvt5hxeTxsylNz/1Ve5+DPrUhmZUYsidFhAY3u8hOjWKySs7+ih6OtA2zOV4c06g3g\nsg1zbWY0J3R2DpzoIT8hikUhOvXKpWK2FWqo7BpkT7mWxOgwChJD2+2qImVsyFXxSoOBQyd1lKbF\nkBzj1dxptdoZGy0KgsCaxbFIRCL2lGtp6hthY54asSg4kuHxeGjpH+X5OhOPVxg5dHqU7mEPaTFS\neixjvFytJV08iFw8fVK1D1Olun8c0dPTQ1JS0ieG5AR6vt544w2ys7PJy8tboLNaEFw2+psP2O12\nKisrkUgkZGZmLvTpAPNTQXG5XNTW1jIyMsLKlSunFU0vpA+P7/PPv/68c1URt9tbFWke1/rp7u7m\n7NmzLF++nNjYmWszbl2ewiM3F1JncPDNpxtCzkLyYZEqgr1fXEFkmJh7dp2kuntyq2am37XD5aZ3\nyM61OSqsDhf376/lO895PWkKEqP44bZsDn9tJYe/toofbM9hY54aRZChoNsK4/n1LYWc7Rvmi3tr\nMIY4YQSgjJCw884SsjWR/NMcVV0U4RIe/1wxVyyK5UcvN7JvDozx0pVydt29DI1Cxo4DtbzfYgrp\neIIg8MDVH+V2ff1Q3bTPlcfj4bR+mN++1caNfzzBp/9UyePvdaAIE/Nvm7N4/RurOPzgGnbevQy7\nR8LDH45wVm+hrq6OEydO0NrayuDgYMBn6XIF59LEVNditVo/1lEU84nLFZwZorOzE41GQ2pqKjab\n7ZKwNB8cHEQsFs/ZjstqtXLy5Eni4+PJzs6+4Msu2Fym+cJUkRmqSBnX5qp5/pSO507puCorDkNX\nK0NDQ5SWloYkDi5IVMCwgRfODHGiY4CthfGznloZjxi5lM0F8bzS0MuBE92syIjzVwdgot9EY2Mj\nFosFiUSCTObNaNJqtYxKY/l7XR9/eL+Dn73SzLOn9JzWD5EbH8WY01v1+c1ni7j/qnSKkhXEyGef\ni7ZIFUFxcjRPVfbw5tl+NuSqiZplurmvcqBRxkyouiRFh5EfYtVFKhaxtUBDs2FkznK2osIkbC3Q\n8H6LiX0VPWRpIgi3D4QUlbE0JZrU2HD2lmspbx9kY57KXxlzezzU9Ayxr0LLw0eaeeJoF6e6LeTG\nR3Hf6lR+cl0OX1iVytKUaP89SIwOY222kpfr+ni9dYRPXZHPkqxU3G43fX19tLa2MjAwgMvlQiaT\nIZFIGBgYQCKRfCJ0HaFks11qcLlc9PX1TZoyfPHFF1m9evWCxvUsAC5nUc0HYmJi/NUMm83G0NDQ\nvOUuBYvBwUG/ADFUmEwmamtrKSgoICEhIej/t9AER6PRBBzXVkbKuDZPzQvVOg5VdHFFuoI1pUvm\nZFcXbjexLDOJ/ZU6jreZ2VaYMCckRxEuYWthPK81GDhQ0U1Zeqx/7F2v16NQKKipqfGPCp9u7+Fv\n5S3sqdCxu97G7godH7aaEQneXClf2+kLq1K4cWkC7zabOFipozApivQZxCJMhbQ4OWXp0Rw6qefV\n0wbW56qIDrIKNB7jWyNhEi8hqe0ZYk+5FmWElCXJoRF4sUhgU76a7gEbe8q1jLncXLEoNqRqRYRM\nzLbCeE50esmYKlxgTX5ov4O8hChyNZHsP6Hl3SYj6igZh0728NPDTewp11LXM8SSJAVfvjKNn16f\nx+3Lk1mSrCByCmKpipSxMV/Fa6f7OVjZw9LUWPJT1Wg0GlJSUoiMjGR4eJiOjg60Wi02mw2JREJM\nTOgZZAuNTxLBcTgcmEymSZKI5557jg0bNiy4VOIi4zLBmQ94PB5/O8ThcDA4OLjgDo4+E7BQMqA8\nHg+dnZ10dnZSWlo642rQQhKc3t5eVCrVlBNQUvcYCY5eKvoEXm8Z4apsJZoA+paZoq+vj7KsJIrS\nlOw51sWHrSa2FcYTFqIWBbzVgW2F8bx5xsC+8i5KUqJJU0bQ1dVFW5eWoYgUXm+z8ofjfeypGaLK\n4GbA7iE72sPWRVLuXiLnnpUJbCxIIC8pxp+0HSETT6g65MRHkqkOXbuVHBPO6kWxPHNKz+H6Ptbl\nqIidYWXofO2Hr+rS2OetuoRLRZSmhVZ1EYsENuSpMA472FuhZcDq5KoLpIZfCGESEdsKNdRqh3ip\naZRYuYTiELx3HC43fcN2zKNOTnZbeKXBwJneYcrSYnng6nR+cn0ut5QmUZCoCDpcNDpcytYCDe82\nm9hXoSVTHUGWJtKfVB0bG0tSUhLx8fGYzWasVitdXV2YTKYJ1Z2PGz5pBMdsNk/aeB46dIgbbrjh\nYnrQXAq4THDmA+cTHJPJNKNKx3xgZGQEp9M5Kz0JfORvMzY2xrJly6YkCtNhoQmOUqkM2HIyGAw0\nNDSwZnkJNyxL5eXaXp4+qWXNFCLemcBgMBAdHU1Rmoq8xCj2Hu/ivRYjWwsTQhbcgjdvaHtRAm+d\nNbD7eBdnu008f3qQA41ujpwxcVo/TKY6kltLk/j2hsX8y+YsUj0GPrvxClI0Smw2G1qtlo6ODkZG\nvCPN4eHhRMi8rZXy9gH2lmtZpJKTrQm9h58QHcZVmXE8X9PLCzV6rspUoooMvg0YSNwqEQlszlfT\nYbKyt1yLew7SzQVBYG22ktExb2q4btDO2hmkhgeCVCxiS4GaE41anq41nTNAjA76PK0OF+82m/jL\nh5385HATz57S0zdkZ3l6NMYRBzHhEh65KZ/Vi+P8ZHWmiJCJ2V4UT+W5alN8lIzCpIkbGZFIxNDQ\nkL89HRkZ6Z8W7e7uxmq1IggCYWFhH4vqzieJ4Njt9oAdgz179nDjo0TwAAAgAElEQVT77bd/IkTh\nM0BQBOfjR8kvISxUBtT5EIlEsz4Pm83GqVOnSE5OJi0t7WPx0jofgUTWHo+H9vZ2DAYDK1euRCaT\noQD23Lecu5+s5N5dJ3nirlKWps6+IjA+qmFTfjz/+7kSHjxYzT27Ktl5dxnKGSzuk87dOMqHrSaO\ntprQDdpxujy82jiAJkLEHcsTuLYgkaVJkcjEgUPuwsPD/VkybrebgYEB+vv7aWlpITw8HJVKxW9v\nyeU7LzTzb8+fweZwc3NJ6CXu/MQonryrhC/vq+GLe6v54+eLJy2iM4XPL0YuFfHH9zsZHXPxL5sy\nQyY539m4mMgwMb9/t4PRMRe/uDl/QpzETCETC3xtWRjP6xT89u12huxOvr1+6riWIZuTd5tNvHm2\nn/dbTFgdbqLDJazPVbEpT82axbGES8Wc7R3mKwdquXdPNY9/bglFIXyf0eES/nhHMf/8bAM/OdzE\noM3JF9dM3Jj4ohoEQSAqKoqoqCjS09NxOp2YzWb6+vpoampCLpf7jQYvpnP7/1W43e6AE3CXRcZT\n4zLBmSHGv6wkEsklQ3BmM0VlNptpaGigsLCQuLi4eTizi4Pzr9/tdlNfX49IJGLFihUT9DapcXL2\n3Lece548yX27T/LXu8pYNsu2x/kTTdfmqnn8jmV8/UA19+w6yZN3l6GKCo7kGIbsHG0zcbTFxIet\nJr9rcHJMOCuTJBRoInmry8XZ3mEKk6K4Kks1wVV7OohEIpRKpb+EPTo6itFopKu1iS/njPEHexg/\nfLkRm8PF51aEvtvNVEew624vyfnyvhp+/7lilqWGpg/zpZvLpWL2lGuxOlz8cHtOSFUXQRD46jUZ\nRMjEPPZGK9an6/n1LYWzrr55PB4kIoGf35hHpEzMzqPdjNhdPLQt23+eppEx3m4y8sYZI8fazThc\nHtSRMm4sTmBjvpoV52V2wbmJwLuX8cD+Gr60t4bf3VbEyozZOzPLpWJ+e2sRD714ll//o40Bq2MC\nEZtqikoikaDRaNBoNHg8Hv9zdObMGRwOB3FxcSiVygUJ3v2/AJfLNeUU1SfFqXmucZnghIBQKidz\niZlWkjweD11dXeh0OpYvXz5nu6+FGi8dTzTsdjunTp0iMTGR9PT0gOeTEusjOZV8cc9J/nxnKcvT\nZ75gBBpPvyZbxR+/sIwd+09x95OVPHlPWUC9z7DdSUW7maPnqjSNfd4WUqxcyhWL4/hqppKV6Qr6\n28+QmJhIRkYGX7Q7ufNPH/D9l5oQSWRcV6gOeF4Xug8RERFERESQlpaG0+lkcYaRhw638Z+vttCp\n1XHXqhRUKlVIU2ZpcXJ/JeeB/TVzEpcgEgS+tyWLCJmYv3zYhc3h5j8+lYckSL+YqXDPFalESMX8\nx5EmvvZUHb+7tWhKwe6FIAgCIkHgB9uyiQqT8MTRLvpHxliRFsNbTUYqOwdxe7xOy3esSGFTvoql\nKdEXJGq+sfQHDtTy1YN1/PdnCliXM/vpTalYxCM35RMdLmHn0W4sVic/3J6DWCQE9TsWBIHIyEgi\nIyNJT0/H5XJhNpvp7++nubnZXyVUKpULtvgupHXFfCBQ0CZ4N3QfR33UxcBlDc4MMV6DIwgCnZ2d\nCz6eN1VvNhDcbjcNDQ3YbLaQc5TGQ6vVTjDbu5gwGo1ERkYyNjbGqVOnyM3NJSkpadqXtCJcwpZx\nk0rLx00qzeRz5XL5JIPFtDg5y9NjOVDRzasNfWwp0BAmEVHVNcizVVr+5x8t/OfhRl6s0XNGP0xO\nfBS3r0jhu5uz+d7WXK4rTmRRjIjWM3VkZ2f7XbJlEhFZMgudo2J2H+8mXuE1rTvf6C85OTlooikS\niYhWRHF9STKt/aP8rWEQ3C6irL309PRgt9snjKHPBIpwCVvy1bzdZOJAZc8Fp7aCMZgTBIHVi+OQ\nigX2lGtpNoywITd4U7ypUJSkIF0pZ1+5lmPtA2yahXGhb/Q6KSmJNqMV7YCNNuModT3DfNBqJlwq\n5tayJL63OYtvrV/EVVlKEqPDg/5evcJzDcfaBthT3k1qXDi58bMf5RYJAtdkK3G5YW+Flpb+Udbn\nqjCbjCgUihltfEQiEREREahUKlJSUlAoFIyOjtLd3U1XVxejo6MXXbvjdrvR6/UL6jI/lxgeHg6o\ntdy5cyc7duz4WMoLQsBlkfF84HyCs5DiWh+mUtefD5vNxsmTJ1Gr1eTk5MwpGenp6SExMfGCLqnz\nAZPJhM1mo729ndLS0qCnyaLCvOPYb5zuY39FN6VpMaTOIHnb5yAdqP+dFB1OvCKMF2t07Cvv5k/v\nt3OoUsuJjgHUUWHcVJLEg+sz+fH1edxSlsLy9FjiFd6Xf39/P/X19SxdunRS69BsNPDpFYtoMY2x\n61g3cXLphIkdnU53QXIXCGKRd6RcO2DjmVoTmoQErl+RjdPpRK/X09bW5p/WCwsLC/rZiQyTsLVQ\nwwctZvZWaMnRTD21NRMH3eXpMUSHS9hTrqVeN8TGfHVI+hnwRlvkxkey/0QP7zab2JinDjqs0u3x\nUKu18FRVL7/5QM8f3uvkePsAmeoIChMVtJus5MZH8u9bskiODZ7UnA+5VMz2Qg3VWgu7j2uJi5BS\nHML4vCAIXLEoFkW4t/VX02NhmVpAFRdLWNjsRfhSqZSYmBgSExNJTEz0p0+3tbXR39+P0+lEKpXO\naqAhWIwnnJ8EWCwWgAnvN4/Hc5ngTIPLda0Z4lJ8iIJplfn0NgUFBfMyTrhQeVQejwez2YzH42HV\nqlUzLtXGK8L8mpwH9p3iD3csY01mcN/P+NaYx+Ohw2TlWKuJo20mjreZMY86AHC6PURIxfzkhnyu\nW5IwrbFeZ2cnOp2OFStWTLnAhEtF/L/PlfCtp6r5+WstjLk83LM6dUbXHQgSkcB/3phHmETEnz/o\nwu50892NmSQmJuLxeLBYLBiNRjo7OxGLxahUKlQqFREREdP+LuIipPzlzqV87WAd33mugf+8MZ/r\nl4RurXDnqhTkUhE/PdzE1w7W8b+3zb615MOGPDX/e9sS/umZeu7bU82fv1BMYnTgSobD5aayc5A3\nzxr5R2M/fUNjiARYmRHJHStSWJ+rIjHaew9fqu3lhy+d5f79tTz+uSUhmStGhkn4/eeK+Ze/nebn\nrzZjsTl44KrA7dhgcdeqVKLDJfz45UYeHpDwv4nJzNVQzvhnBbyaEaPRSGNjI3a7ndjYWFQqFbGx\nsXO6QfokuRjD9NdzKa5LlwIuV3BmgfFk4lKo4LhcLgwGw5Q7lc7OTn91Yy7MAANBr9ejVqvndUd2\nPpxOJzU1NbhcLjIzM2d9bREyCdsKE3irsZ+9x7soTokmXXlhb5iWnn6OdVs5eLKXnx05y+PvtvN2\nYz9DdidXZ6m478p0fnhdHtcXJ/JyrZ4a7SDbihKIjZj8HXk8Hs6cOcPIyMi0o/oGgwGFQkFkhJxN\n+Wra+r0eMWIRrEiPRafTkZiYOOsXuyAIrM1RYrE62VvRg2nEwdXZSkSCQHh4OHFxcSQnJ6NUKrHb\n7fT09NDR0cHw8LC/BRHos31eMVXdFvYc1xKvmDyiPJsMpMIkBRkqb2vp+CxbS+cjLU7OivQYnq7S\ncaTewLpslZ+Q+Ma5/3punPuZKj3NhhFWZMRw76pkbs1w8I3tyyhOVkxwdM5LiPJXh95uMrIxVxUS\nGZOIBDYXaNAN2thT3sOw3cWazND8fPLPnePTp3p5r3WQDXmzd6WeDlKplOjoaH91RywWYzKZ/NUd\nh8MxJ9WdS8XGY64wMDCAVCqd4DDt8XjYtWsXO3bsWMAzWxBcblHNFy41guPxeAL2mn3TRFarlWXL\nls2Z3iYQpvOimQ+Mjo5y8uRJUlJSkMlkk374M4XPkfadpn72lndTlKSYFPQ4MOrg3SYj+8q7ePTV\nRp44YeS9Ngs6i53l6bHcuSqNf9+Ww7c3ZrG5MJ78RAVR4RISosO4JlvFMye94Z/rctQTRsidTien\nTp0iMjKS/Pz8aclJf38/UVFRXuGmx8O1OUp6Bm3sLe/B6XaTJhsNOVxQEASuzorD5nSzt6IH3aCd\ndef5xEgkEhQKBQkJCSQlJU1apAK1IHzGffU6b9hnjFzC0nHttdmGPOaMay2912xiY37wraWpkBQT\nzprFcfytWs/z1b043R72lHfz8OEmXq7rQ2exc22Okq+uzeBH1+XwqeIEslThWMz9UzrKLlZHUJIS\nzaGTOl493c+1uUqiw2e/iIsEgfW5KoZsTv99CtXPZ7E6glinkTfabbzSYOCa7JkbNs4EIpEIuVzu\n1+7ExMRM8m+aaVvUh7GxMQYGBhbciHWuEKglbrVaeeaZZ/jyl7+8gGe2ILhMcOYDgiBMIjipqakL\nWiL0eDxotVpSUz9qU/j0NiqVitzc3Hkv1fb19REbG1rfPlj44iQKCwvRaDRzlsUll4nZXpTA+81G\n9hzvYrE6Ar3FzlMntPz3G8088mojh+t6aTGMkJ+oYEtmBDvWJPLwp5dxXXEixSnRxEUEFuOqo8JY\n58vFqtJxTbYKVZTMT9TS0tKmnPoaj/7+fiIjI5HL5bjdbgQ8bMhTYxgaY29FD3Y3bChMCrnULwgC\nqxfFIiCwt0JLu8nK+lxVQDGvIAiTFimfE25XV9cEczipRMyWAg0t5ypPMolA2bkx/VBSrBerIyhO\nVnCwUhdyJhaAbtDG0bYBeofG6DBZOd4+wKDVyfVLEvjW+kV8f2s2mws0ZKoj/Nofp9OJ0Wic1jI/\nNU7OFYtiee6Unpdr+7g6K27Wfkng/e6vOle52VuupcUwyoYp7lOwcA8ZuH55Ji/V9/N8jZ41i+JQ\nB2l3ECp81R0fcRaJRJjNZtra2jAYDIyNjSGRSJBKpRf8rdjtdiwWy4JH6cwVTCbTpKGGwcFBDh8+\nzD333LOAZ7YguExw5gvjCY5PXLvQvd7u7m5/JclsNlNTU0NeXt6sBKezgc/Vd74Nv7q6umhvb6es\nrMxfsRkcHPROA81B+y1cKmZbUQIftJjYe7yLF6r11PVYSIuT85nSZP5pYxYPbc/j08uSSQ6zo4kK\nIyYmuM9VRcpYn6fmhWo9z1T1UKyR0tN6xk/UgsH4Co7b7Q3OFJ1rKw1anTzfMIh51ME12aqQ77sg\nCKzMiCVcKmJvuZamvhE25l14Yun8FoTvvNva2jCbzeBxc93SZLSWMfaW9/jdiUMhOOCbXovh6ZM6\nXjltmFGFxOPx0Ng3wtNVOn75eiu/fquN91vMKMK8k2B9FjtWh4tvrl/EqkVxAb8Dl8tFf//UFRwf\nEs4FYL5Y28dz1XquyIgNyVXbd59i5BJ2l2up1lrYFILoWq/XU7AomY358Ryu6+OZKh2laTEkxVxc\nMz8fcVYqlaSkpBAbG4vNZpvQFp2uumOz2RgeHkatDmyn8HFDf3//pOk2g8HAu+++yx133LGAZ7Yg\nuExw5gvjxbR6vX7KoMeLhfHTXF1dXbS1tc2r3iYQJrRO5gFut5vTp08zMjIyKQk80HRBKAiXei3t\n32k0Yh4d45Gbi/j+9jxWLfIme/sWt9mEnMZFyNiUr+HFUz08V93LTWsKyUoO3s/EaDT6fWx8BEcQ\nBH9bqb1bxwunLRiGxrjmnHYmVJSmxRAr/2hiaVO+GkmQi6dvfFitVpOcnOwPduzq7CQ/ys6oR8bT\n1f2M2F0UqUQhV+KSY8JZvTiOZ0/pebmuj2uylMQF0DyBV/xd2TnI3gotPzvSxF+PdnOiY5DUuHDu\nWJHM97dms+OaDNbmqNhWGM9bTSYOnOghPzGKjADj7k6nM2jNhypSxsY8Fa+c7ufQSR0lqdGkxIZG\nIHxJ5PsqtBxrm70eyZdYr1aEszlfzZuNRg5Oc90XCxKJZEJ1RyKR+Ks7fX19OBwOxGKxv7pjtVoZ\nHR31i5s/7vBtIsdXyfV6PRUVFdx6660LeGYLgssEZ74wvoLj055cTHFtIHR2djI0NMTo6Oi8620C\nYfzCO9cYGxujqqqK6OjogBqVoaEh3G73rLO4AiFMKuZTSxM50THA3uNdZCgjyEuYqPGZDbHyeDwY\ntB0Ux7k42S/wzCk9KzK8xCkYjPfecbvd3jbVORIjCAJqZz8qtYZ9J3R0D9i4Njc0TYYPxSnRJChk\n7C3XcqrbwuZ8zYwrBIGCHUsTpBgGR3i2zkyPaYhitYjYmJiQWmzxijCuzorjhdpeXqju5crMj1os\nfpHw0S5+eriRQyd1nNEPszQlmvtWp/Lj63L5wqoUL6kbR4yiwiRsLVDzQauZfRWB87uCtWvwIUYu\nZXO+mrebjOyv0JKfEDVJ9zVT+MTMB0708FaTkQ2zEDOPF6orwiVsK9D4rzstTk5u/MLHApxf3Tlf\n9D40NMTY2Bhut/sTQ3AC6Rw7Ozupr6/n5ptvXsAzWxBcJjjzhfEEx2AwEBMTc1G0J1PBbrfT3NxM\nYmLiRdHbBILZbCYsLGzOM1GGh4epqqoiMzNzSq3T0NAQLpdrTgkOeI31thXFc7JrkF3HOkmJDacg\n8aPqwkyJlcvloqamBrFYzBWlS9lamMBrp71Gg8F68IwXGp5PcMCrhdq+PItwmbfi0mYMXZPhQ2GS\ngjRlOPvKtZR3DLI5Xz3r4Efwjg8roqLYvCSZMaebvzUMoh8aI8HZR19v74z0FudDHSVjfY6Kv9f1\n8XSVDuuYi73lPTx8pIm/1/XRM2hnbbaSHdek8+Prcrm5JJHCJMW04mS5TMy2Qg2VXYMBJ8FmSnDA\n58Wk4WibmX0VPXNCIBarIyhNjeHQSR2vNBhYl6Oc0Vh6T0/PBKG6V5umoarLwp5yLbEheu/MB84X\nvUulUoxGI0ajkf7+/pCepUsFvb29qFSqCZvplpYWWltbuf766xfwzBYElwnOfGE8wfG1ZhYqbG5g\nYIDq6mpEIhElJSUL9uMNNMIYKgwGA6dPn6a4uHha756RkRF/Fs5cQyYRsb0ogepuC08e6yRBEUZR\nsrclNRNiZbfbOXnyJAkJCWRlZXmDDMO9RoP/OGNgX0U3JSnRpF1gPP1CBKe3txe1Ws2qxSoiw7zm\nbWd7R9gUhHYmGOTGR5GliWBfRQ8ftpnZPAdj2T6zueEhCy81jmILi+XWNbk4HQ50Op1fbwEEPU3T\nbhzlrUYjOosd7YCdyi4LFpuTG4s/EglvKdCQpY6cUSXKN+7ecG4SLDJM7M/Zcjgcs5rakUu9xMlH\nIJSRUpaESCBSYj+aAnuhpo8rM+OCTnYP5IYtO3fdjX2j7CnXIhK8ZouXIlkQzlkagDd0Nisri7Gx\nMXQ6He3t7bMyrLwUoNPpSEhImFDdPHPmDH19fWzZsmUBz2xBcJngzBd82gcIrGy/WOju7qalpYXS\n0lL6+voWdFx9riaZ4KMk8J6eHsrKyi743Y6OjjI2NjYvBobgHW/eXhRPvW6InUc7UUZKWZoS47dO\nvxCxGhoaoqqqitzc3EkC1MiwcR48U4ynj4fJZPJXyqaq4KhUKiQSCctSo1FGSGelnZkOWepIChOj\n2H+ih3eaTWyag7FsQRBIl48RGSbhUHU/TQYrN69YTHLiZL2FwWDA4XD47QEAXG4P1d0WDlT28PNX\nm3n8vU6Otg2gipSyvSge04gD86iD+6/O4KpMZUhkTyoWsbVQQ2v/KHvLtXjOiaQdDgeDg4OzGkv2\nEYizvZOny2aLeEUY67KVvFzfx7NVelZkxPiNB6eDVqslJSVlEnmRiEVsOee9s7eihyGbiytD9N6Z\nT/iIjEqlQqFQEB8fT3JyMmFhYQwODtLW1oZer8dutyMWi2cVR3IxESgOp66ujqGhIdavX7+AZ7Yg\nuExw5gvjCY7ZbEYmk13UuHqf4HZ4eNgvuF3ocfXZCG4DweVyUVdXh9vtZunSpUGJt0dHR7HZbPPa\na5eIRWwrTOBM7xC7jnahCJeQHSe+YOWor6+PM2fOsGzZsim1OhEyr6jZN56eGx9Fpibw8+R73qKi\noqas4PgIDsCSZAWJ0TL2hKCdCYQMVQRLU6I5eKKHN8/2szFPHbKLsMViYUliJBkJSn9swKY8NTKJ\neILewjeG3tLRxd9PtrO7Qscjb7RzoFJHXc8QuQmR3LUqhR9uz+FLV6ZzVZaS65fE+3Uki9URk/Qz\nM4VYJLApX03vkN2/2K9Ii5w1wQHvM7a5QE2X2cre8h7sTrd3VD+E37QyUsamPDWvnzFwsLKHoiQF\naRdohfb09JCSEjhV3ue9M2x3sbdCi3bAxtrs0AjjfMFiseDxeCb87nzVHZ9hpUqlwuFw+ONILBYL\nbrebsLCwBYmdmQ6BiGdVVRUul4urr756Ac9sQXCZ4MwXxhOcuaxcBAO73U5VVRWxsbHk5eX52fxC\nhl3CR7ulUCaZbDYbVVVVaDQasrOzg36x+6Yl5nscVCwS2FIQT4thmF3HugiXiMhTSQNWjjweDx0d\nHf4q1IWmy+RSrwfP0TYTu491kamJJCdAkKLZbPa3Aqeq4Jwvei9IVJAaF87eCi0nOgbZXKBGFoJ2\nxoe0ODll6dEcOqnntdMG1ueqUITPnuT4xsRX5yaTEhvG3nItlZ1erY/vfPuHx3izyczeU2b+WGnh\nwx4nfaNuSuJlbMsQ+EqZgpuWqFm+WE1c5EdtY18bqLJrkD3lWhLPBZWGApEgsC7no8VePzTGUhUh\nGcuJRQIb89SYRhzsrdDSP+zg6qzQpuGiwyVsLdDwbrOJ/Se0ZKmnzgOD6QkOfOS9IxYJ7C3v4Wzv\nMBtyVXNSHZxLWCyWC266xGIxUVFRxMfHk5KSQnh4OBaLhfb2dnQ63SVV3Ql0X44fP054eDirVq1a\noLNaMFwmOPMFj8fjJzi+SZqLMZLt09vk5uZO6pEvZNgleMXAoQh9BwcH/dc203A8q9XKyMjIRfG7\nEIsENhfE024c5cDJXkTA2oLJDtINDQ2MjY1RUlIStIVA2DmSU9ExwK6jnaTFyclPnEicx2udAhEc\ng8FAXFzcpKm+vIQoMtUR7K/oCWmE+Hwkx4RzxaJYnjml53BdH+tyVLPOWRrvg5OfEMViVQT7yrW8\n1Wikf2SM377dzn+93sJbTSbsTjfXFcXzjWsX8YNtOdxYmsqq3FTiYhSMjIzQ2dmJVqvFZrMhEokI\nCwsjTCr2OynvDuCkPBv4FnuA/ZV6ui0uti9NDqmiIQgCa7OVOFwe9lZo6TBZuTZEobivSljRMcie\n8u5pCd6FCI7vHFekx6KMkLK3XMvJLgsb80ITnc81Zrr59JlR+qo7arUap9NJb2+vv7rjcrkWrLoT\n6L588MEHKJVKSktLL/r5LDAuE5z5wvgKTqgLe7Dw6W2manX4sqAWyo8nFKGvTqejqalp2jbOdLDb\n7QwNDV00x1Jve0JDi36A5+oHvEGfi7xaBIfD4a+wzWaizTe5VdXtndxKjA6jMOmjRXhgYMA/MeJL\ntj+/ghOI4ABkayLJS4hi/wkt77eY2JyvQT4HJCchOowrM72C1pdq+7gme2rvmengIzjhEZFUdg5y\nvH2A7gE73YM2KjsHiZZLuH15Mv+2OYt/Wr+Ya7JVpMXJ/Qu/bww9JibGP4bucrno6+ujtbXVu+AJ\nHm5clkqbycaeci0SkUBZWnRIu3Of0Z4UJ8/VD1DXE3q6uSAIrF4cR5hExN4KLaf1w2zMC61KMl4g\nvfs8gfR4BENwfFiSrCAlNoz951qVWwo0Ieux5gqhDj74qjsajeaSqO4Eui/vvPMOKSkpLFmyZN4/\n/xLDZYIzXxhPcEZGRhgbG5uXCR7fZ43X20w1jh5ohPBiYnR0FLvdPiOhr8fjoampCZPJRFlZ2axH\n7cfGxrBYLBc1c0YkEihLkNJpHOapU304XB6K42UXHGkPBl7BaQJ1WgtPHu1CHSWj+FylYWBgwL8r\nDURwDAYDsbGxU/ogLVZFUJTkjTR4u8nIprzQBcIAmigZa7OVvFDTy/Pnec8EA4vNyav1ep6qNfPz\n19t5ukrHaf0wJSnRXJOtpLFvmAipmH/dnMki1fTp5T6IRCIiIyP9C5RcLsdisdDV2UFxrBOLW8pT\npwxYHW7WLA5N6wKQEydB5hzh+YZBKjsH2TQHFY2ytBjUUd4qSWWX16E4lPaiTyDdZvROQzndblZl\nxE6qBl+I4Lg9Hk50DvLnDzrZVa7F7nQzZHPyj0Yj14bYqpwrzKV1xfnVHY1GM6G6Mzg4iNvtRiaT\nzVt1J9B9eeONN8jNzSU3N3dePvMSxmWCM18YT3CsVitWq3VeBK4+vU1MTMwEvU0gLLQfz0y/B6fT\nSXV1NTKZjKKiopBeCr5QvYudGmy32SiKdUFYNLuOddGh1XP7uqVz8ixIxSK2FcZzWj/Mk0c7iQ6X\nsCwtZkIsxWwIDkC6Uk5JqoKnKnW8caZ/zlKjlZEyrj3nPfPsKT1XLJo+gqDLbOXF2l5++1Ybj7za\nwnsdI5itLjbkqtlxdQY/vi6XTy9L5JosJSszYgOmeweLSQuUWk1ZgoRe8wjP1Zlp7jawLEFKeAij\nw3a7HY3Exsr8dPZX9PB+q5lN+eqQq2RF5xLT91f08EFL6McUiwQ25akxDHvzy0yjXp2P7zmaiuD4\n4ix2H+/mRy83sv9ED+3GUdbnqvj2hsV8Zlkiz1X38lJNL1eFmLE1F5jPCdfzqztyuZyhoSE6Ojom\ntUbnorrj8XgC3pcjR45QUlLC4sWLQ/6MjxkuE5z5gm9hgfnLOxkcHOTUqVPk5OQEHNk8HxcrC2oq\n2Gy2oHUw4wMmFy1aFPILwOFwYDKZLpgBNNfwXfOajCh6jBZe73Bic4vnJAcKvFM1WwvjafaJmqUi\nsmMEv3AyEMHp7+8nJibmgk7WqbETc5vW56qInoNdd2yElA15Kl49F0FQlv5RhpFvlPtgpY5fvNbC\n/77TwQetZuQyMTeVJHLnkki+ujqem1csnhBiCRPTvV+ag5BKXxVsS3EKNoebZ+tMdBhHUNt1GAx9\nAdPQLwTf87C6IJ3CJAUHK3v4R6PXTThUApkT7x3NP1ipmwEqLgAAACAASURBVJNjegXSSm9ifHkP\nnSYr1+Z4dT7nL6Q9gzaequzhZ68084f3O6nrGaI0LYavrc3gJ9fnsr0onnSlnOTYcK7JVvJyXR/P\nVOlZnh7cWPp8wWg0+oNp5xM+8uxz6NZoNLjdbn9rdGBgIGTtjtvtpre3l+TkiXq/F198kTVr1kwI\nWv4/gssEZ74wnuCMjY2FNBoaCFqtlubm5hlpUnxRCfP9Y54KwepgjEYjdXV1FBUVzRkpdDgcF0xx\nng/4ErOdTif3bF7BqMPN7mNd9A+PsS5HPSckxydq7jCOsutYFyJBoCQ5kujoaFwuF06n059FBV6C\nc35ezVRIOicQfvaUnsP1fVwbgkB4PKLDpWzKV/Pm2X4OntDidHt4vqaXh480ceBED7U9Q2RrvKPc\n39+azQNXZ7B6cRwy5yiSaUSh8QpvSOVLtX08d0rP6kWxaEIIqQTv4rQmMw6ZWOCp6n5GJDHcckU2\njjE7Wq2Wjo4ORkZGAK9p3HT31Gaz+bOPMpRyStOi/QRypm7CgZChivjomA19rJ1FJWs8BEFgzTmd\nz55yr85nQ56KPr2OyLh4Xqzp5b/eaOGXb7RyvH2AdKWcL61J4z8+lcctpUnkxE82SVRFytiYr+L1\nM/08VdlDQWIU6QuUXxUonPJiQCwWT2iN+vLXfNUdq9WKSCSakXbH5XJhMBgmDWA899xzbNy48aJX\nry8BXCY484XxBMdXPZiLB8ztdnPmzBksFsu0eptAGO9wuxAIhuh1dnbS2dlJaWnpnDoeT/Xjn084\nnU6/X8/KlSsRi8VcnaVkzOlh17Eu9BY71+aq5yQHSiwS2FQQT/eAladOGXC63azNS8DlcvnbpS6X\nC4/Hg9FonFGrcq4EwuPRPWDlrUYjeoudTrONE52DdJm9fikPXJXGj6/L5dayJJamRE9YoINJE1dG\nylifq+JIvYGnq3Qsn6OU67L0jwJFT/eN8umVmaQmJ5GUlIQgCBiNRlpbWzEajTidTmQy2SRBv6+C\n42tR+tyEnzv33c5F2yYlNpw1mT6H4l6uzFQG7VA8FcrSYtBEydhdruX1M/1U6uz899vdvN1kIkIm\n5q5VKfzk+hzuXZ3GkmTFBdtj0eFSthZoeL/FxL6KHtKVcnIWIL9qodv2EDh/zePxYDAYaGtrw2w2\nT/k8jcdUMSAHDx7kpptumjcN6CWMywRnvjCe4MzV4uoLlFQoFOTn58+4lDkwMOA3gFsITJfD4xNK\nz1cQqK8cfH75dr5gs9morKxEo9EgEon81+yrBng8sOtYF11mKxvy1IjmwARNJAhsyNPQqjPyt/oB\nRuwOrsryispFIhGCIOB0Ounu7kapVCIWixEEwZ82Ph00UTKuyVLyYm0vz9f0ctUMF02n28Opca2n\n373TwfstZv/UjsXuwjwyxleuSWdrQfyUwttgCA6cC6ksUPPmGSMHK3tYknxh87pgUJwSTXJMmN8v\naOO5UfqIiAhUKhUpKSkoFApGR0fp7Oyku7vbr7WQyWTYbLZJOrTxVadnT+lZlTG9LikY+ByKfVqn\nYB2KA8HhcvNBq5n3mk20G0cxjjgw2jx8tiyJn1yXy9fXZbA8PZbo8JmR3giZmO2F8VR1W9hz3DuS\nXxziSP5M4ZsovNjBw9PBJ3xXq9UkJycTGRnptzXo7u7GarX6W17jf7c+neH5G8i9e/dy++23L9h7\nfwFxmeDMJ3wEx+12o9frQ1pcfXqbrKysWU/fXGzDwfPhdDoDtol8xC0YofRs4bsHwY62hgKfX09B\nQQEKhWISqRMEgSsWKxGLYPexLjqMo2zI18yJ06sAFKsEug0D/K1+APPIGGtzVIhEIpxOJ7W1taSm\npvoXWF91x/es+s4vEFSRMtblqHi5ztv+uZBA2GJz8o+z/fz1aBcPH2niYKXO33r6wspkvr81mx3X\nZLA2W8WNxQmc6PQa7KXGhk9KZfcfM0iCA96Qyi0FGt5pNrG/QktuvNc3J1TkJ0aRpfZmbX3QYmZj\nngr5uCkzqVTqH0NPSEjw78ZbW1uxWCw4nU4/wfRBGSnz65KeOqljWWo0KbGhVZ2U57WCipMVQYW1\ngncC6mSXhSc+7OJHLzfy3Ck9eoud7UXxbMlXc6JjgEGbi1tKk4gOoQUWJvFGnDQZvPETvkiLi2WY\nt9CTpRfC+bYGvuepv7+ftrY2TCaTv7rjdDoZHh6eJAHYuXMnX/ziFxe0SrVACIrgCL5poCAxo3/8\nSYXb7cbhcADehb2yspIrrrhiVsfq6emho6ODkpKSkNT+HR0diMXiBRObWa1WTp8+TVlZmf9vQ0ND\n1NbWkpOTM68eNaHeg2Dhs3P33avh4WFaWlooKSkJ+O///H47j73ezNbCeB67ZUlI470+ouJyuRge\nHubRV5t44cwQ16ZJeHC1GpPRSEFBwYTqwXiCMz4gVhAERCJRQLLZZbby5X01DNmcPP75YkrG7brb\njKO822TinWYjJzsHcXkgLkLKNVlxrM1RceXiuCnHg0fHXHzz6XrK2wf4wfZsbiubvCHo6upCIpHM\nqBo6aHXw1YN1NOiGeOSmfLYXzY0W7r1mE99+toGU2HD+9PliEi5QIfFNuej1ev/flEolarWaqKgo\nBEGg12LnKwdq6R6w8avPFLA2J/RpO8OQnQcO1NJhsvLLTxewMS+wrs3j8XC2d4TDDX0cqTegt9gJ\nl4hYn6viuqJ4rsqKQyoW4XK5OPSPE/yuxoVcKuJPny8mK8RYC6fbw0//3sjzNb3cvjyJf9+SfVGi\nHaqrq8nPz/9YLv4ej4fR0VGMRiMmk8lfKczOziY2Ntb/2123bh3l5eUL5n+2gAjqAbpMcGaB8QTH\n4/Fw9OhRrrzyyhkf4+zZs9jtdpYsWRLyA9rV1YXH4yE9PT2k48wWdrud2tpaVqxYAXjLw83NzSxd\nunTey6dut5vy8nJWr149L8f3eDy0trZiNpspKSnx7whHRkb8BoVT4cmjnTzySiMb8tT85ralsyI5\n4zU2PkGxx+Ph1/9o5S8fdLImUeCryxU4zvkxqdVq4uLiJrU5fUTn/KqOr8Xle2nqBm18aV8N/cNj\nPLhuEXqLnXebTXSYrIB3omddtpJ1OSqKkxVBL1Z2p5t/fraBd5tNfHdTJvdcMZGMz4bgAIzYnXz9\nUD0nOwf5yfU5fGbZ3GixTnQO8OBT9cRGSPnzHcUXbIMZjUYGBgbIysryC9+NRiPDw8NER0ejUqkQ\nwhU8+PRpGvtGeOSmPLYVhk7IBq0OvnawjnrdEA/fkMeNSz+qKHaZrRyu7+NwvYHW/lEkIoErM+O4\nriie9bmqSR5ITqeTmpoaolLz2HGgljGXm9/fviRkx2fv89rGzmPdbCvU8PMb8+YkE206VFVVUVRU\ndEm1qGYLg8GAXq9HJpPR39/PL37xC9atW8cTTzyBQqFAEASKi4vZuXMnO3bs4J133vEPqDz55JMs\nW7YMj8fDt771LQ4fPkxERARPPvmkf0O6a9cufvaznwHwgx/8gHvuuQeAyspK7r33XqxWK9dddx2/\n+c1vEAQBk8nE7bffTnt7O4sWLeLQoUMXWwcU1EvncotqlvDtiAVBoKura0ZJ3qHqbQIhFCfhuYDH\n40Gn05GcnExbWxs6nS6oDKa5wkzvQbBwu93U1dXh8XgoLi6eQESdTif9/f3TLsjL0mJQRkh58lgX\n9ToLWwviZ+RGG4jcgPe5S5WOMDw8zBudLsbCYrlzQwlSiYT+/n5aWlro7++fIGAUBAGxWIxYLJ5Q\nwRlf6TGOjPFh2wCmEQetRisftJpp0A1TmBjFXatS+cH2bL58ZTqrF8eRGB02IxG1RCSwpUDtN5kT\nBFiR/lHLYiYtqvGQSbzmdT6H3ujw0CMYwBtDsfqcSPjlIEbTrVYrNpvN36Ian3Ekk8kYHBxE393J\nyniB1iGB/ZW9qKOkFCWF1lYOl3pjGKq1Q+wu1yIWwRn9CI++1sKv/9FGeccgmeoIvnxlGg/f4J2A\nyg0wAQUfaQqXZKezIc/bAgs2pHM6+PRpcql3Yqu2Z4iNeaG5PV8IOp2OxMTEBcvnm0uMjo4CkJ2d\nTWpqKkuXLqW8vJy33nqL5ORkNm/ezNmzZwHvu/DBBx/kt7/9LTt27PDLBo4cOcKRI0c4fvw4ZWVl\nPPjgg9x///2YTCa+8IUvUFFRwQMPPMAdd9zB3XffjVwu5+abb+bxxx/nF7/4Bb/73e9QqVTk5OTw\n4x//mKKiIg4dOkRPTw9vvPEGmzdvvphfyWUNznxifMl/JourxWKhqqoqJL1NIPgclWfiJDzX6O7u\nxmQy4fF4gk4CnwvMhmQGg7GxMSorK1Gr1eTk5Ey6V74YgAvpr5amxpCgCGPXsU5qtBa2FMQH9WL3\neDw4nU7goyqL7+9NTU0MDw9z+/oywqRi9hzvprV/lBtK04jXaEhNTUWh8OYydXR0+AWxYrGYsHNm\ndiKRCEEk4qzBynPVvfz6rXYee7Odt5tMWB0u1mYrGbE7GR1z8d2NWXyqOCFkh1pfmKTOYmdvuRbb\nuMTs2RIc8BojbinQ0No/OmcRDOAV9HoF2H38raaXK6YZTR8dHQ3oan5+gnW8WsnKRDEN+iEOVfcz\nOmgiTy3z35fZYHTMhccDNVoL7zab+aDVjDJCyj2rU3n4hlzuXJVKUdKFJ6BcLhf9/f0kJiYSI5f6\nQzrnKoW9NC2GpBhvkOrxtgE25s1NJlog+AKIFzokcy4wPhJIEATi4+PJz8/nD3/4A+Xl5cjlcg4c\nOMCHH36IQqGgpKSEwsLCCcd47LHHuOmmmyguLiY1NZXHHnuMz372s7z55puIxWJuu+025HI5DQ0N\nOJ1O1Go1f/rTn3j00Uf9m6NXXnmFT33qUzz44IP8z//8DwqFgqysLL73ve/xjW9842J+JUERnP9z\njbuFhE9vs2zZsjkf5xaLxRNI18XG2NgYw8PDpKamzksl5WJjeHiYmpqaafVDvlZRMLhtRQoSs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h4WFuvvnmDVzZhuEywVlPhJbdR0ZGmJiYoKamZsOchAUCASMjI2teQQkkgTscDmpqapYMrgtM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\nYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10ecedb50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "fig = plt.figure(figsize=(8,8))\n",
    "ax = fig.add_subplot(111, projection='3d')\n",
    "ax.plot_wireframe(U, V, Z, )\n",
    "plt.xlabel('b0', fontsize=16)\n",
    "plt.ylabel('b1', fontsize=16)\n",
    "plt.xlim([0,10])\n",
    "plt.ylim([0,10])\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "梯度下降算法(gradient descent algorithm)\n",
    "----"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "def grad(xs, ys, b0, b1):\n",
    "    b = np.array([b0, b1])\n",
    "    x = np.vstack([np.ones_like(xs), xs]).T\n",
    "    return -np.dot(x.T, ys) + np.dot(np.dot(x.T, x), b)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "def gradient_descent(xs, ys, b0_, b1_, f, fprime, learn_rate=0.001, tol=1e-6, max_iter=1000):\n",
    "    b = np.array([b0_, b1_], 'float')\n",
    "    delta = np.zeros_like(b)\n",
    "\n",
    "    bs = [[b[0], b[1], f(ys, xs, b[0], b[1])]]\n",
    "    for i in range(max_iter):\n",
    "        delta = learn_rate*fprime(xs, ys, b[0], b[1])\n",
    "        b -= delta\n",
    "        bs.append([b[0], b[1], f(ys, xs, b[0], b[1])])\n",
    "        if np.sqrt(np.sum(delta*delta)) < tol:\n",
    "            break\n",
    "    return np.array(bs)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "bs = gradient_descent(xs, ys, 10, 10, resid, grad, learn_rate=0.001)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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CM9HE5yWTyRgaGpry9e58IQKO4BKLxUJDQwOBgYFEREQsyIufs1NUJpOJ06dP\nExAQQFFR0aQvbIYRC7/bX8+uQ1oCfRU8eG02txdoplyAO5vpMX8fBbfla7h1rZqDdT3sOqTliY/q\neOqfDdyQE8dd65NYFjv99vSpHremc/RgzONN/ayI9uN/bl5FRvTU64omEx3ixzcuSeErFyTxdnkH\nzx7V8dC+ah79qJ5b18Rze76aOA8s+j1Yp+fHb1ej6x3mlrw4tmb5ogryG/czJZfJ2JgWwca0CLQ9\nRp4raeGVU23sK+9ktTqEHYUarlweNeeCQndb7KHAmdLBsLAwbDbbkjhSwlneuu3darWeM+VuNBpF\nwFnoCxCWhrFTUiaTCR8fnwV7EXdmBMf+Qp2Zmek4+XksSZJ450wHP3+nivb+EW5Zo+Y/rxg/HTWZ\nuRwTIZPJuCA9kgvSIx2HaL56qpWXjrewMS2CuzckcVFGpFNNyEazlT8dbGTX4WaC/BT858VxXJTg\nQ5qL4WYsP6Wcm3LjuDEnlhJtH88e1fHng03sOtzMFdlR7CjSkOuGURP9kJlffVDL62UdpEQE8PTO\nHAqTw2lqapr23yVFBPC9K9P5xiXJvFbaznMlLdz/WgW/+sCXrfnx3LYmnignR8Q8aSmOesjlcsLC\nwggLCyMlJQWr1Up/fz+NjY2Osr+FLh10B28dwYFzQ7UIOCLgCE6Y2G0zH4ddTkcul08ZMiRJor6+\nns7OTtauXTvpu8+x01HL44J5bOtq1iSGO/XY7joHy36I5rcuS+fFEh3PHm3mq3tOkhoVyF3rk7gx\nN37ckQZjH/eT6m5+vK8CXe8IN+bEct9laVgMvQwODs75uuyPVZgcPho69J+Pmrx9ppMcdQg7ijRc\nke36qIkkSbxV3sEv3q9jYNjCVy9I4qsXJuHn4nqkID8l2ws13FGg5mCdnj3FOn73SSN//FTL1Sui\n2VGgYaU6ZOZP5CGLcYrKVfaOncHBQZRKJdHR0Y6W5YUqHXQHb1s0PR2DwSACzkJfgLB4TTxuwf7O\nZ6EDzlTrYEwmE2VlZQQHB1NYWHjOOzXDiIXff1LPMwe1WG0Sl2RG8j83rnBp0aq7D/pUBfrytYtT\nuWdjMu+caWfXIS0PvVnBbz6s4fb8BHauSyA21B+ZTEbHgIlfvVDKu2c6SIv8fOQDoNPgtksaJ1EV\nwHevSOfrF4+Omuwp1vG9Vyv4dYgvd+SruXVNPKoZTh0H0PUO85O3q/m0Tk+OOoQHr13GspjZjzbB\n6PTVhemPLg5zAAAgAElEQVQRXJgeQUP3EM+VtPBqaTtvlHWQqwllR6Gay2cRxNzBW26i9tEopVJJ\nZGQkkZGRwOelg11dXdTW1s5L6aA7ePMIzkRiDY4IOMIUpuu2WeiAM9nj9/T0cPbsWZYtW0Z0dPS4\nv7NPRz38zmjh3WXZ0QyNWNhf3c3mRz/lxpw47t6QREbM9Otgpnpsdxg90iCe61fHcUzbx+5Djfzp\n0waePtjIVStiCJSZeatCj1WS8aWCKC5PgGi/YUwmE76+vh4/YX3sqMmBmh7+Wqzj8Y8beOqAlutW\nxbCjUEPmJIHFYpPYU6zjt/tH3/Xff2U6d+Sr3V4ymBIZyH9dlcF/bErhtdJ29hbr+O6rFcQEj05f\n3bpm9LiK+bAUp6imMlUg8PHxITo62vG7ZjKZ0Ov1tLW1UVVV5ZHSQXc4nwKO0WictufrfCACjnCO\nmbpt5HK5Y1RnIYy9mUuSRG1tLT09PeTn5+PvP/4Ax9pOAz/dV8nBuh6WxwXzm9tWszYp3PF3uw9r\nefVkK3873sJFGZHcszGJjWlTL572dJCQyWQUJIdT8Nn00G8+qOHt8nZsEgT5yrhzVRCXJYBGHU9f\nXx+nT5/GarXi5+eHXC7HYrF4dH2EXCbj4sxILs6MpKbTwJ5iHW+UdfD3k22sSwlnZ6GGizMjkMtk\nVLQN8uBbVZxpG+SSjAh+eE0GcaH+Mz/IHAT7KdlRqGFbgZoDtXr2Fut4cn8jTx3Qcs3KGHYUqFkR\nv3DTV0uNs2HN19eX2NhYYmNjARwdPM3NzQwODrqldNAdvDHgTPV6JEZwRA+OMIaz3Tatra2TtvnO\nF4PBQHV1NcuXL6e0tJTw8HDS09PHvXDZp6N2HdLi76PgW5vTuaNAM+k5UT0GE8+XNLP3aDOdgyaW\nxQRx14Ykrl8dh9+EbdIDAwPU19eTk5Pj0ec4MGzh0Q9r2FPcTGSQL7kxvpzUDdI9Auowf+7Ij+OW\nNWpC/ZVYrVaampro6uoCxh/aOB/TBb1DZl462cpzJS10DJjQhPuRGB5AcWMvYYE+/NeV6Vy1PHrG\nm5qnGoDrukanr14rbcNotrEmIZTthRouy4r0yPRVbW0t4eHhjumcpayuro7Q0FCioqJm/TkkScJo\nNDo6eAwGw6xKB93B23p9YDS0HT9+nIKCgnF//sc//hE/Pz++/vWvL9CVeZQ4qkFwnivdNh0dHfT1\n9ZGZmTmPV/i5oaEhSktLsVqtZGVljXvxlSSJdz/bHdXWP8IX8uL5zysyneqbMVlsvHW6jWcOaqls\nHyQyyJfthQlsK/y8r2ZwcJDa2lpyc3M98tzsZYM/e7uKLoOJnUWJbFsVQlNdFZFR0bQrotl1SEtx\nYy8BPnJuzo1jR6GGYIz09PSQkZHhOKOop6eH/v5+/Pz8iIiI8Pi7Z7PVxv/9c3Rnl8kqoZTLuDk3\njns2JJComnmrsaePOOgftvBaaRt7i1to7h0m9rN1RLc4uY7IWTU1NahUKq8IOJ4Ia1OVDtoDz8RR\nWHea6sy2pWyq4ycee+wxEhISuPvuuxfmwjxLFP0JzrGP2jh73IIrZXfuZrPZaGxsxGAwcOGFFzoK\nyWD66Shn+Crl3Jyn5qbc0XK5XYe0PPFxHU8daODGnDju2pCEOshzU1TaniF+9FYlB2q6WakO4Xfb\ncvAdbKO3s5WMjAxGRka4PD2GzVlRnGoanX558fjoyMmG5BCuTvUlPV3C19eXmJgYx/Z4+7vnhoYG\nDAaD42YSERHhtptJ75CZX35Yx+ul7SSp/LmzSMOJ5n5eOdXGSydauSQzgh2FC9OSbBfqr+TOogS2\nF2g4UNvDnmIdj33cwG8/aWDLyhjuLEogO27mdVjOWCxrTubKE7uOpisdrKysZGRkhNDQUEfgsbfz\nuoM3TlHZbLZJd7ENDw+LNTgLfQHCwpk4JeXsL/5CLTIeHh6mtLSUsLAwQkJCHOFmyGTl9/vreeZQ\nI/4+Cv57S9aU01HOkMlkbEiLYENaxLi+mr8db2FjajiXxFvJdeNCUpPFxp8+beD3nzTgo5Dx31uy\nuHl1FOWnywiOiiIrK4uOjg5GRkYc/2ZFXDD/c0M237p0tIX4+RIdBxsHePbMcXYWadiyMsax/Tog\nIICAgADUavW4m0lFRQUmk8nRb6JSqfDxcW0kQ5Ik9pV38ov3a+kftvAvGxP52oVJ+PsouKNAw32X\njfDCsVZeOtHKx9WjLck7PmtJnqlp2VMUchmXZEaSHh3I/a9WcEo3wNtnOnm9rIO1ifbpqyiUs1wI\n7U2LjOejGG+60sGWlhZH6aC9g8fVn9GxbDbbku3wmYrVap30eyTW4IgpqvPWxG4bV16Q9Xo9ra2t\nrFixwoNXOF5nZydVVVUsX76ckJAQTpw4QWFh4TnTUfddkUFUsPtbd3sMJl4o0fHsES1dBjOZMUHc\ntT6JG3LOXafjisP1PTz0ZgX1XUNcszKW/7p6GUrzIBUVFWRnZzumBtrb2xkYGCAjI8PxvRv7PWvv\n6uHlY1re11qp7jAQEeTD7Wvj2bpWPW35nc1mc/Sb6PV6JElyhJ2Z+k3Gbv1erQ7hwS2ZZE3RyDxi\nsbGvvIM9R3VUdhgIC1ByS1482wriHQuP5+sUbpsk8VxJC499VI9cJuP/XZbKFdlRvF7WwXMlLeg+\nm766PV/NLXlxM5Y/TlRdXU1UVBQqlcpDz2D+VFZWEhcXR1jYuceWzBd76eDYn9GxHTyuBBZ7C/tk\n5Z9L1cDAAM3NzSxfvnzcn3/nO9/h9ttv59JLL12gK/MosQZHONdU3TausDeczseBdTabjerqagYG\nBsjJycHX1xer1cprHx3hDZ0/B+t6yI4L5oFrs8l3YTpqtgYMRv703gk+bpNT0TZIRJAP2wsT2F6Y\n6PS5UgDdgyYeea+K1061kagK4IFrs7goI5K6ujq6u7vJyckZN300dt3TZAGnt7eXjo4OMjMzOdLQ\ny7NHdeyv6cFHIeOalTHcWahxavrFYrE41u/09fWhVCod01n27b7Wz7Z+P7m/AYBvXprq9NZvSZI4\n1tTHnqMt/KOqCxlwWXYUOws1REp9+Pj4eDTgNHQP8eBbVRxv6ueCNBUPbskkPuzzr7PVJvHPmh72\nlOg4XN+L72dfvx2FGpY7OX1VVVVFTEwM4eGe/3n0tLNnz6LRaAgNXTznflksFkco7+3tdal00B2L\nphebvr4+2trayMrKGvfn3/jGN/j3f/931q1bt0BX5lFiDY4w3nTdNq6Yrykqo9FIaWkp0dHR5Ofn\njx4gZ7Lyu/11PP3pEIF+pjlPR7nKz0fBhQk+fOumAo406Nl1UMuTH9fzhwON3PBZn07mNH06NpvE\nS8db+NUH1QyZrPzrxSn828WpyCUrx48fJzg4mIKCgnOC58Tt6ROnQex/L5PJWJ+qYn2qiobuIfYU\nj+4eer20ncLkMHYWargkM3LKMKJUKomKinLcAEZGRhzbfQcGBugw+/LMaRPV3SNcnBHBD6/OGBcQ\nZiKTyShICqcgKRxd7zDPH2vh7yfbeO9sFxmRvnxhpYrbo2NdPm19JhabxF+ONPPb/Q34+Sj46fXL\nuGF17Dm/Awq5jE3LItm0bPQ4jedKWni9rJ3XSttZmxjKtoKZd1+JKSrPmql0UKlUEh4e7gjlY6/f\nG9fgTHYOFYxOUZ3va3DECM55YqZuG1cMDQ1RWVl5zqp9d+ro6KC6upoVK1agUqkcu6N+/FYF3QYz\n6+IU/O+dGz0yHTUds9nMiRMnKCoqcvxZXZeB3YdG1+kMm21cmB7B3RuTuTB9fJ9ORdsAD71ZwYmm\nPopSwnnouuWkRwfR29tLeXn5lOdmAXR1ddHd3U1WVtakIzj9/f20trae8y4OoM9o5uWTbewtaaGt\nf4RElT87CjXclBNLkJ9z73GMZiu//6SRvxxpJsRPwc4VfuRFWB2LQSMiIma9GHTIZOWNsnZ2H2qk\nqc9MZJAPt69Vc9ta95wtVdVh4IE3KylvHeSyrEh+cFWGS+3V/cMWXj3VxnMlo7uvYkJ8uX2tmlvX\nTD59tRimddylvLyclJSUJXWjtJcO6vV6+vv7x5UOtrW1ER0d7RXTh3ZdXV309/efU9txxx138OST\nT5KamrpAV+ZRYopKcL7bxhXDw8OUl5eTn5/vhiscz2azUVlZidFoZNWqVfj6+o7bHRUZ5Eu3wYSv\nHG7NT+CuDUmkRM7fQjqLxcKxY8cmHfbVD322TudoE50DJsc6ncuzo/jDAS27D2sJ9Vdy/1WZ3Jg7\nOg3T1NRES0sLOTk50y4IHBtw7Fv6JwaclpYWsrOzp752m8SHlV08e1THyeZ+gv0U3Jwbx/ZCNQnh\nU2/jPlw/eup3k36Ym3NHz74KC/AZtxhUr9djsVgcUwWzOZCxUaultN3E27XD/LP2s+m1FdHsKNTM\nqpzPbLXxp0+b+MOno1/371+dwZXZUbP+HbDaJMfuq0OfTV9dPUl5YEVFBWq1elFN68zW6dOnSUtL\nW9KLVe2lg3q9nq6uLoKDgx0hZyFLB92lvb2d4eFhkpOTx/35jTfeyHPPPecoX/QyIuCc71zptnGF\nyWTi1KlTFBYWuuXz2dn7beLi4khOTh7dHTVJWV9d1xC/eK2Yw202LDaJzVnR3LMhiYJkz29Bttls\nHDlyhA0bNkz5MSaLjX3l7ew62MjZtkHkMrBJcH1OHD+4ZhmqQF8sFgvl5eUolUqys7NnPKywu7ub\nzs5OsrOzJw04Uy00nEqZrp+/Fut4/2wXNkli87IodhZpWJsY6vi8E7d+P7hlGUUpU68rsVqt9Pb2\nOtZGyOVyx1SBM4WDYxcZN3QPsbekhVdPjZbzrU0MZUehhs1O7m4qbx3gv9+sorrDwJaV0dx/ZYZb\nu27quobYW6Lj9dL2MeWBai7LiqKmqpKEhARCQpZ+Y3JpaSmZmZmTHlq7FJ05c4bo6GjHKM9Clg66\ny1TdPldccQUffvjhkhp9c4FYg3M+sy8kdseU1ESeWIPT1tZGbW0tK1euJCwsbNzZURPL+pbFBvOl\nVX78fFs+e4ub2VvczIcVnaxSh3LPxiSuWhHjsQMWnTmqwVcppzA5nHfL2znbNkiAjwKDyco75e34\nyGVszY3C2FZLcnIyGo3GbY/ritWaUH6hCaVt8wjPH2vhb8db+aCyixVxwewoVAPw6w/r6R+28JWN\niXz1s63f01EoFOPWRtgLB+3nE/n5+Tmms2Z655wSGcj3r8rgPy5J4ZVTo9Nr9718lvhQP+4oGN3d\nFBZwbmAZsdj43SeN7D7cRESQL4/ftpJLl7m/cC8tKpAfXp3JvZtSHeWB33ll9OyrS5OU3Blhxgvy\nzaJcgzMXkiQRGBhIdHQ0Go0GSZIwGAzo9XpqamoYHh6et9JBd5lqXdHw8PCSuH5PEiM4XsYTU1IT\nOTOK4Syr1eoo91q1ahXaXhM/2VfJoc/K+h64NnvSsr6DBw+yceNGAIwmK6+eamXXIS0N3UPEh/nx\nxXVJ3JavIcTf/Rl+7GNPZLba2H1Iy5Mf1wHwjU1p3LUhiWa9kb8cbuLlEzqGLRJFSaF8+aI0Ls6I\nRO7EiMTYrfmTjeAMDg6i1WpnvXXfaB5dB/PMoSaae0f7dmJDfPn5DVkUprhnvYK9cLCnp2fSwsHp\ntolbbRL7q7vZU6zjaGMf/ko5160e3d2UET36DvVEUx8PvFVFQ7eRL+TGcd/laYR64Ps/GZskcaCm\nhz0lLRys0zt2r20vULNyCZ99dfLkSVasWOHWsr2FVFZWRkZGxpQjUpIkOaZde3t7PVo66C6NjY34\n+/ufMxV10UUXceLEiSU3IuUkMYJzvplLt40r3DWaYDAYKC0tRa1Wk5SWyaMfNbDrkJZAXwUPbMni\njsIEp7YeB/gq2FaYwO35Gj6u7uKZg1oeea+aJ/fXcdtaDXeuSyTBiaMC5uqYtpeH3jhLVYeBzVlR\n/HBLFprP1rYkRwRwa6qVy2JUnDaGs7dEx9f2nCQ1KpAvrkviprx4An3nVnw3l++Jj0KO0Wyjy2DG\nTylHHeZHfbeRf33+NNd+dlr4VB03zpqqcNAecBUKBcHBwURFRZ1T5qaQy9icFcXmrCgq2wd5rqSF\nN8o6eOlEG4XJYQT5Kthf3UN8mB9PbVvNxrT5XUQ69hDS9w6XcrDTh7cruni9tJ28hFC2F6i5PDvK\nYyOLnuJNO8Jg5l1UMpmM0NBQQkNDSU5Odqwz6+npcXvpoLtM9pw8eSDwUiICjheY2G3jyXBj//xz\n1dLSQkNDAytXruTTpmEefukw7f0j3LJGzX2XZ7jUKWMnl8vYnBXN5qxoTrf0s+uQlmePNPGXw1qu\nWhHLlzYmkZPg/p0t+iETv36/hr8dbyE+zI/fbsvh8uzPd0PZ1xbFx8ezYsUKLpTJ+PKFKbx7poNn\nDmr50VsVPPqPGu4oSGBHUQKxk5y4PVOonMv35GzbIA+NOfX7B59t/a7rGmJP8eg6k1dOtZ9zWvhc\nTNZea58iKC0tdZS5RUREnNNtkhUbzEPXLuObl6bym3/U8Vrp6GnrwX4Ktq5Vk6NZ2BETTYiC76xO\n4r4rMnmttJ29JTq+++ro9NVta+O5dY17dofNB08c1bCQXN0mLpfLCQsLc+yIG1s6qNVq51Q66C5T\nbRMH7zkyZLbEFNUSNx9TUpOZbppmOlarlbNnz2KxWAiITeVn79ZwuF7PivgQHrg2izWJzpWjOfv4\nrX3D/PVIEy8e0zEwbGFtUhhf2pjM5qxop0aHpntsSZJ45WQrv3ivmv5hC3dvSOLrl6SO23pt3+6+\ncuXKSYvfJEnimLaP3Yca+aCiE7lMxjWrYrl7QxKr1J/vwunr66OpqYlVq1ZNOkU1NDREXV0dq1at\ncvp5jN36HR7ow/1XZnDV8nN3GfUZzbx0oo3nSnS0D5hIUvmz3cVt5s4YO0U1U+Hg4IiVX39Yx99P\ntpGo8ue6VTEcqu/lZHM/gb4KbsqJZXuhhuSI+V8cO3HnkU2SOFA7enbYp3V6FDK4ZmU0OwoTWKVe\n3NNXJSUlrF271mvW4Rw7doy8vLwZF/U7a7LSQft0VmhoqNseZzpVVVXExsaOqyWQJImLLrqIU6dO\nefzxF4iYovJ27uy2mQ+Dg4OUlZUREaPmrZoR/vJayeh01LVZ3FHg3HSUq+LD/PnulZn8+yWp/P14\nC7sPa/nG86UkRQRw1/okbs6Ln9VNuqZjkIferKC4sZc1iWE8dF022XGf36zsIxL9/f0UFhZOOXcv\nk8koSA6nIDmcJr2Rvx7W8tKJFt4obaMgOZy7NySxOSva7YuMD9aNbv3W9Q5zS14c396cOumiXYCw\nAB++vDGRL67T8GFlN88e1fHwe7U8ub/BqW3mszFd4eCBul72VFrpHZHYmR/LvZvTCfBV8u8XQ3nL\nAHtKRg8h3VvSwkXpEewsUrMhVbVgvx9ymYyLMyKIDPKhSW9Eqx/m/Ypu3jzdSY46hG2Faq5aHr0o\np6/OtykqV01VOtjZ2UlNTc20pYPuMtlZVFOdT3W+ESM4S9DYKamFCjaujuDodDoaGhpo9dXw2P4m\nOgZGp6P+84oMl8/6ATh06BDr1693+blbrDY+qOjkmYNaTjb3ERag5Pb8BHauSyQ2dObyN6PJyg/2\n/pN3G60E+Sn4zhWZ3LJGPW6h8MjICKWlpahUKtLT012+xoFhCy8d1/HXI03oeodJVAWwNS+G3BAD\n6/LzJh3BMRqN1NTUzHh8hn7IzC8/qOWNsg5SIgJ4YEsmhcmuHylQquvn2THbzC9dFsmOQg0FSWGz\n/nmc6Syq3iEzD79fy1unO0iL9Ofe9RHEKIwYjUZCQkIc75z9/PzoGjTxt+OtvHC8hW6DmdTIALYX\naLghJ3bOa51mMnEhq9lq4w8HtPzxUy2RQb48eO0y1iaG8lppO8+XtNDQYyQyyIfb1sSzdW28SyWE\nnlZcXOz2OoiFNN/PZ2RkxFGd0N/f79hJqFKpCA4Odstr92RdRQMDA2zdupUDBw7M+fMvUqIHxxt5\nqtvGVc4GHIvFwpkzZ2jqt/DXCgsnmvpZGR/CA9dmk5c4+/Uwhw8fprCwcE5DwCeaennmoJb3z3ag\nkMvYsiqWezYks3yKXS8fV3Xx47cq0PUOc3NePN+9MvOccNbT08PZs2fJysqa83k39jC265CWE019\nBChlbCtKZEdRAtGBCpcCjiRJvHm6g1+8X8vgiJUvbRjd+u03xyMR2vtHeOFYCy+eaKXPaCE7Noid\nRRquWRHj8nELUwUcSZJ4r6KLn71bQ79x9MTyr1yQ5Pj8NpuNwcFBenp6zikcDAoJ5YMqPXuKdZS3\nDhLip+DmvDi2Fbh/1MlubHdMZfsgP3yjkop2A9evjuF7V6SPGymzSRIH6/TsLW7hQG0PCrmMK7Kj\n2F6oJlcTuuCjJyLguNfY0sHBwUECAgI+/1mdZelgaWkpy5YtG7clvL29nX/7t3/j/fffd+flLyYi\n4Hgbm81GT0+PYzvwQr74ORNwBgYGOHqilI86A3j5tB6rTSI9OojvX5XJBRmRc7r+o0ePsmbNGrfs\nYmjqGWL34Sb+fqKFIZOV9akqvrQxmYs+28Ld1jfM/7xdyXtnO0mPDuLWFAtfuu6icZ9DkiTq6+vp\n7OwkNzfX7f0Th6vbeOrjao60mECCy7IiuXNdAnkJo+t0hoeHqaqqIicn59znpzfyk7erOVTfS64m\nlAe3ZJIZ497yL6PZylunO3j2qI7ariGnTzMfd52TBJyuQRM/faeaDyu7WREXzI+vWzbjbi6r1Upf\nXx89PT3jDmNsNfvz2pk+PqjsxmqT2LQskh2FaorcXBBZWlpKWnoGe0508n//1BIaoOTBazLZnDV9\n4NX2GHnu2Gi54eCIleVxwWwvUHPNypg5B9HZWuhA4G6L6flIkuSoTphL6eCJEydYtWrVuNfCuro6\nHnjgAV577TVPPoWFJAKOtxi7kHhoaIiamhry8vIW9JoOHjzIhg0bJv0FlCSJpqYmXipu5O+1o1uP\nb8yNIzbEn5dPttA1aCI7Lph7NiazZeXsDlYsLi4mNzfXrb0U/UYzLxwbnRpq7x8hLSqQrJhg9teM\n3hC/fkkq92xMpuTo4XHhzmw2U1ZWRmBgIMuWLfPI3LfBYKC6upqYlGyePaIdXTQ9YiVHHcKd6zRc\nlBpKTVUlubm5jn9jP2Dy9580opDL+NalqWzNj5/zDqjpSJLEofpe9hTr+GTMaeY7nTiNe2zAkSSJ\n18va+cX7dQybrfz7xSnctT7BqRbjicxms6N/p7+/H4PNh0/b5bxba6DXaCEjOpAdhRquXRVDwAxl\nhs5468BxdldInG03cM2KaP7rKtdalO1ncz1X0kJt1xCqQB9uzYtja76aOCemUd1pMQUCd1jMz2ds\n6aBer3e6dHCyhdPl5eU8/vjj7N27d74uf76JRcbeYGK3jUKhmJeTvGdibzOeOEVksVh4++Apnikd\npLzTzEp1CL/bnkfuZ9uz/+PSNF4vbeWZg1q+93I5//tBDXeuS+T2fA2hUyxyne7x3Sk0wIevXJjC\nXeuTeOqf9fzxQCN1XUMo5TLuKNBwy1r1OWGsr6+P8vJy0tLSiIuLc+v1jGVfZKwO9+c7V2bylY0J\nvFbazp5iHd95pYK4EF8uTZCTmmUh1F9JecsAD+2roqLdwKXLIvn+VRnzcnOUyWRsTFOxMe3c08wL\nkkZPM9+0bOrTzGF059uP9lXzaZ2eNQmh/Oi6ZaTO4bwxHx8fYmJiHAeZGo1GsvR6tqTI+ahugI+a\nR/jRvmp+8486bl2j5o78eJdOSLez2iR2HW7myX8OEuyn5FdfWM5Vy6Nd/jyBvgpuz1ezdW08Rxp6\n2VvSwp8PNfH0oSY2Z41OX+Unzn6tk7A4yWQygoODCQ4OJjExcVzpYEVFBSaTadLSwckWThuNRq85\nXmMuxAjOIjVVt42nzoFy1WRTRC2dPfz8jVI+0FoI9ffh25elc1u+ZtKbmSRJfFLTzTMHtRyq6yHQ\nV8Fta9V8cX2SU6V8J06cICsry+2HAPYZzfz6gxpePKYjOtiPrflqTrf083FVNz4KGTfkxJMX0MNt\nV15Ac3Mzzc3N5OTkePy8l7EnuI9dZGxv+P3LkSaONQ3gr5SRHBlIdYeByCBfvn9VBpdnz20t0Fz1\nD1t45WQbe0t0tPSNoAn3Z3uBmptz48Y1TTdqtbxXa+BPJT1IksQ3L01lW4Ha4yNOg4OD/LOilZdK\nuyhpsyCTwYUpIXxxfRJFqRFOBYn67iF++EYlpboBCuKU/PwLucSp3Pczoesd5oVjLfz9ZBv9wxaW\nxQSxvUDNFjeNOk1lMY94zMZSfj42m83RwaPX67FarYSFhdHV1UVhYeG41+L9+/fz7rvv8sQTTyzg\nFXuUmKJaqqbrtpnuNOv5VFJSwurVq/Hz88Nms/HMR+X83+EOBkwSW/M1fPvydFSBzk0fnW0d4OmD\njew73Y5Nkrh6ZSz3bEwiRzP1IuSTJ0+SmZnptmAhSRKvl7bxyLvV6IdM3LkukXs3pxP82Rby+i4D\nuw838crJFobNNnJjfbk+M5Btl+bNS7mX0Wjk7NmzrF27dtJdVGazmf998zh/rzZjNI+ObF2UruKe\nDYlz2tnkThabxEdVo6eZH28a7au5OTeW7QWj53Hd/3IZZe3DrEsJ56FrMz22CHg6zfoh/nqokdfL\nuxg0SSSFyLhxeRjX56qJiVSdM2JptUnsKdbx+McN+Cnl/ODqDOJGmlm9erVHWm6NZiv7Tnewt6SF\nqg4Dof5KbsmL4/Z8NZpw9587tJQDwUSSJFFSUuI1z8e+1uzMmTMEBATwyCOP8OmnnxIaGsrPfvYz\nysvL+d73vsftt99OQ0MDKSkpvPjii6hUqtE3EN/8Jvv27SMwMJBdu3axdu1aAHbv3s1Pf/pTAH74\nwx9y1113AaNTYXfffTdGo5EtW7bw2GOPIZPJ6Onpcfkx3EAEnKVopuMWJEni0KFDsyrZc6fjx4+z\nfKlcHWkAACAASURBVPlyaruH+cHLp6jotrBaHcID12VPG0ym09Y3zF+ONPFCSTODI1YKk8O5Z2My\nly6LOue8ptLSUlJTU91yYnNtp4EfvVXBkXo9uQmhPHRdNiviQyf92OZOPb95vZiDnT70GK1kxgRx\n94Ykrl8dh58H30kPDw9TXl5Ofn7+OQGna9DEw+9W825FN2lRgdy7KYXy1gH+dryV3s92Nt1ZlMDV\nK6Jntd7JE8pbB9hTrGPf6Q6sEshl4KOQ8W/rovjSJdkLHsiMZitvlnWwp7iZ2i4joX5yLtbIuSLF\nj7T4SCIiItCblTzwVhXHm/q5JCOCB7dkEh3iN+miT3eTJIljTX3sLW7hH5VdSMAlmZFsL1CzLsV9\ni6a9KeDYbDaOHz9OQUHBQl+KW9m/R5988gkVFRX85Cc/ISYmBpPJhFqtZtWqVTz++OM8+uij6PV6\nHnnkEfbt28cTTzzBvn37OHLkCN/85jc5cuQIPT09FBQUUFJSgkwmIz8/n2PHjqFSqSgqKuLxxx9n\n3bp1bNmyhXvvvZdrrrmG7373u0RERHD//ffz8MMPz/gYbiICzlLiSrfNbFuE3enTo8d5SyvjldPd\nhPgp+M6Vy87pg5mtwc96YHYfbqKlb5iUyEDu2TB6XpP9ROuysjKSk5MJDZ08iDhj2Gzl95/U8+dP\nGwnwUXDf5RlszddM+RxaW1upr6/HZrNRULSed8508PRBLZXtg0QG+bK9KIHthQmz6vWZycjICGVl\nZRQUFDgCDsCrp9r51Yd1GM1Wrkv14Ye3FDlCzLDZyptjdjZFBflye/5o14onrtFVNZ0Gvv9aBWfb\nDfjIZZhtEikqX+7ekMy1q2JmPL18PkiSxJGGXvYUt7C/uhu5XMaFyUEEKyy8XzeMUi7jX9dFsbUw\nicDAQGQyGcePHycnJ2feavvb+od58VgrL51sQz9kJj0qkG0Faq5fPffOH28KOBaLhdLSUneOIiwK\nY79HjY2NbN26lXvvvZeOjg6eeuoprrrqKkpLS4mMjKShoYHKykq+9rWvsWnTJrZt2wZAVlYWH3/8\nseO/p556CsDxcZs2beLSSy+loqICgOeee87xcfZ/Gx8fT2trK5s2bZr2MabquXKRWGS8VCyWbhtn\n2GwSr55q5efv9zBgglvXxPKfV2YT7sIukZkE+yu5e2MyO9cl8u6ZDv58sJEH36zg0X/UsqMoge2F\niXNeZPxJdRc/fquSJr2RG3Pj+O6VmUQFT74I12azUVlZyfDwMIWFhRw/fhwfhYyb8tTcmBvP4Xo9\nuw5peeKjOv7wzwZuzI3n7g1JpEe7bw3GxCbjhu4hfvJODcWNfaxNDOWHV6UxoKsZN0Lj76Pg1jXx\n3JIXx8E6PX89quO3nzTyx0+1XLcqlp1FGrdvF3eG2WrjzwebeOqAlmA/BY/clM3mZZHsOVDJ6xX9\nPLSvmkc/qufWNfHcvgA7h8aSyWSsT1WxPlVFk97IHz/V8nppO9bPzr76ygY1lyQoqaurw2g0Ehwc\nzMjICGazed4CTlyoP/demsrXLkrmnTMd7Clu4afv1PDYR/XcmBvHtnw1SQtwZMVi4+4W48VgqgEK\ng8FAVFQUBoOBp59+GgC9Xk9qaiowWryamJjo+PiEhAR0Ot20f56QkHDOn8No5449tMTFxdHe3j7t\nY7gp4DhFBJwFtpSOWzjbOsBDb57lZHM/aWEyHr81mw1ZGo89nlIh59rVcWxZFUtxYy9PH2zkyY9H\ndzddkuzPl/0jyJvkfKfptPcP8z9vV/HumQ5SowLZffda1qdGTPnxRqOR0tJSYmNjyc7OdnyP7C8s\nMpmMDWkRbEiLoLbTwO7DWl492cqLx3RcnBnJlzYms96NxwSYLDb+/GkDv9tfj59SzoNbMvlCXhyS\nzcbJ5slf7GQyGRekR3BB+ug17ilu4Y2ydl4+1caG1HB2FiVwYbrKo4t57cpbB3jgzSqqOgxcvSKa\n+69MJ/Kz0aQrM0K4JiscnTmQZ4/q+PPBJnYdbuaK7Ch2FGnI1cx+tG6uRre/63n3bBd+PgouyYjg\nTNsAv/m4ib8E+bB1bTy3rlmGvzR6pMTZs2cdi0AjIiIIDw/3eODxU8q5MSeOG1bHckrXz97iFp4r\n1vHsUR0XpKnYWaTh/7N33uFt1ufe/8h7D3lL3tuxY8fxyCQQkgBJCKtAICGs0vO2pYMuutgFunvo\noYvTUzYZkDBDGGEEsj3ieM94a3hItmRbW3rePxQJO962nABXvn9xGUXPT8+8n/v+jpXJMz/OX7dE\n6q9jgTNZJINeryciYqyCLzR04eNKvmzPsIsFzgXCuUTiL/OFp9Gb+esnZ9hV2o2fB/zi8liKwq1I\nI12rYJoMIpGI4sRQihND7UXE8U5er5Dx4Zla1mb0cPfKBIqmMWuzWG28UtLNU5+cwWoTuO/yFL65\nKmFKTkpfXx9NTU0sWrSI0NDQMeuZqHuUEuHPY1uyuO/yFHaXdfNKSTd3vnCKjKgA7loZz+ac6Dlz\nYEQiEU1qM489c5Km3hGuzArn5xtSnLb+thlmVaVE+PPQpjR+cFkir1Uo2FUm5949NSSG+bKjSMrV\nLhhrTASjxcY/D3fw/PEuxP5e/PXGRRMa34lEIooSQihKCKF7UM+uMjmvn1byXl0fiyWBbC+SckVW\n+HnNbVJoDDz8bhPH2wZZlhjCY1enIwn2wSYInGgb4JVSOf883Mm/j3Zx5aIIlvp7cOMKe6SGw3Cw\nvb3dGcQoFosJCgpasGteJBKxJDYYsZ8XHWo9dcphKmVaju4eIEHsyy0FEq7NjRqjYJsIF3OovvyY\nyKoDvpCJR0VFoVAonOMjh1WCVCqlq6vL+fnu7m6kUilSqZRDhw6N+ftll12GVCqlu7t73OeBWW/j\nfML9kUcemc3nZ/Xhi5gYjpGU1WqdU8Xb1dU1pvW3ULDZBPZVyPnWyxWc6tSwLsGT/729iNWZUgYG\nBvD19XW5THs6iP29WJsRQaHYSEiAH4daBtlZ2s2hJhWBPu4khfmN49BUdmv47q5K3jitYHmSmP/d\nvoR1WZGTerEIgkBLSwtKpZL8/HwCAsYa1Dku4sneyH293ClKDOW24ljixH6c7hpkT7mcvadkGC02\nUiP9ZyXtHTZY+P2HzfzjpBovDzf+cEM296yIHRMSKggCCoUCiUQyo+/08XSnID6YbUUSEsN8qVcM\ns++0kldPKRgyWkgK83MqyOaLii4N39lTw6dNKq7Li+KvN2WTFT2eHK7VanFzc3MSx4N8PFmVLObW\nAgkRAV6UdWrYd1rJG6eVGC02ksJ88V3AXClBEHijUskPXqtDoTXyyytS+MUVKQT52MexIpGIuFBf\nNudEsjnHflN/v66PjzrNHG0dwNfLnUWxYUSEhyGRSIiIiMBms9Hf309bWxv9/f2YTCbc3d3x9PR0\nWTEhCAKvVSi4b28dwyYrv7k6nce3ZJAU5kdz3wivn5Xs92jtkv3J+FhWq5Wenp4Zn1NfdhiNRrRa\n7bjOxlcZJpOJwcFBoqKiALsv12uvvUZ8fDxZWVl4e3vT1NTE6tWr+fvf/05CQgIbNmzAzc2Nf//7\n32zfvp2TJ0/y6aef8uMf/xipVMrPf/5z7rjjDgwGA/fffz9/+MMfiIyM5MUXX2Tx4sVIpVLuv/9+\nbr/9dtLS0ujs7JzVNlyER2fyoYsk4/MMi8UyzttmtpjKRdhVqJFr+c27jZzu1jjZXFcvjuLuVQks\nigmiubmZ4OBgZ7V+vuHYflBoGG+eVvDc8U7aVTqkIT7cviyOGwuk2GwCf/n4DLvLuokI8ObXG9O5\nclHklPvN4TMUEhJCamrqhJ8tLy8nOzt7xnEMgiBwrFXNc8c6OdyiwsfTjevyYrhjRTzJ4VNzYD5q\n6OWxdxvp1RrZkODJb7evwt/LfZxMfL4SWEEQONWl5eUSGZ809eMmErEhK5zbi2PJkcxNqaYzWfnr\np23sKpMTE+zNw5vSWJk8+ThwurBNmyBw5Iw9V+pY6wBe7iKuzolie7GUdBdziZRaI4+828TR1gGK\nEoJ57Or0GcnWR4wWnt5fypFeDzrUesL9vbh5aQw3LY0ZF1kx2qZ/eHgYf39/xGKx06Z/LugbMvLw\nu80cPqNmeVIIv7k6YxyHqVY+xM5yOe/X9mKyCixLDOHWQgmXpY01YDSbzdTU1JCfnz+ntXzZoNVq\nkcvlZGZmXuiluAwjIyO0t7eTnZ3NXXfdxZEjR1CpVHh7e/Od73yHX/ziF9x88810dnaSkJDAq6++\nilgsRhAEvve97/H+++/j5+fHc88951SXPfvsszz55JMA/PrXv+auu+4C7NYgDpn4xo0befrppxGJ\nRKhUqllvwwW4qKL6MmEqb5vZwhVBk5NhUGfmvz9uYU+5jBAfD25IFnHl0hQOtOh4tVyGzmRlRbKY\nTUmeXJIWfl4JY6Nx5swZ/P39ne7BtrMeK88d66C0YxAfT3sr2mSx2T1t1qYQME1LfmBggLq6OtLT\n06d8y6uoqCAzM3NOD6Hm3mFeON7JW1VKTBYba9PDuXNlPMsSx87He7RGHj/QwIf1fWREBfDYlkz0\n3fWsWLFiQh8cV3p8dA/qeaVUzhunlYyYrCyJDWJHsZTLM8JnHJVwvG2AR99tQqYxcmuhhPvWJk07\n+pquwBmN0Vwig8VGcUIw24ukXJo2tUvydHBERPz+wzNYbAL3rU3illmaDZaWllJQWMixVnsxduTM\nAB5uIq5aFMH2IumEBaPDpt8RGGo0GgkKCnIWPDORnB9s6OOxA83ozTZ+dPn0JonqEROvn1ay55QC\npdZITJA3WwskfGNJNCF+nphMJurq6i54LIyroNFo6OnpIT09/UIvxWWYrGi79957+f73v/+1UcBN\ngBldkBdHVOcBDm+buY6kzoVjROLKAsdqE3itXMa9u6uo6NSwJSOQb+d6cuPaAmIjxVySGsa2oliC\nfDz5tKmP/Q1aPm/VEuDjSXK4/7weKnOBRqPB3d3dOc4QiUQkh/uTFxvM6W4NCo0Ri03ATQSxYj+S\nI/ycfJVzIQgCHR0ddHZ2smTJEoKDp/bx6enpISwsbE4+J2H+XlyeGcHWAil+Xu4cbOhlV6mMTxr7\n8fV0JzHMj9dOybl3dyWt/TruuzyF316/iJgg7zGqhHM5QCKRCLlc7pIZd5CPJ6tTxNxSKCHM35MT\n7YPsrVDyTnUPNgFSwv0mDX/UGiw88X4zf/yolTB/L/56UzY3L5XMiDNz7ohqKoj9vbg0LYytBTEE\n+Xhy5IyavaeV7K/pRUAgJdxv1nynviEjP3+zgedOdJMjCeRftyxmderMnIxHQy6XEyuVEi/25eqc\nKDZl24vl9+v62FUu52ir+uyx9nVeNyKRCC8vL4KDg4mOjiYmJgZPT080Gg0dHR3I5XJ0Oh0AXl5e\nY7gkQwYLjx1o4n8OdZAc7sczty7m0rTpw2x9vdxZGh/MtiIpmVEBdA7o2Xdayc4yOV0DeiIDPBEZ\ntAsaQXI+odfr0ev1hIWFXeiluAw6nW7C37R3716uuOKKC9ZhPw+4OKK60Dg3bsFVBLfZjkimQ1W3\nhkffbaRGrmVpXBA3JtnIjQ8jJSVlwjWbLDZeOFTL3poB2gdMRAZ6c/vyOG4pjJ2WuOgqtLe34+np\n6Xygn+tp8+P1qaxMFvNKSRevnbKnhC87mxK+5mxKOHzRhvfx8SEjI2NGx6iyspKUlJRx3Jy5wGi2\n8naVkuePd9LSN4KnuwizVaAoIYQnrl1EwtkMptEGj4IgOM+p0VgozxKrTeBQk4oXS7rHOBBvL5IS\nNypW45PGfh5/vwX1iIk7lsfxnUviZ+VlM5sOzrmw2AQ+brS7JJ/utq/xutwothVJSZhGIi0IAgdq\n+3jygxaMFhs/XJvItsKJI0ZmgsmOw7DRwltV9hDNDrWeiACvs+qr8eOrcb/PYmFwcJCBgQEGBwfx\n8PAgNDSUNp0nv/24m94hI99aFc9/rY6fFwG7uXeE3eX2zpjebCMt1J1vXZrG+szzS+xeCKhUKgYH\nB0lJSbnQS3EZJvtNW7du5R//+AeJiYkXZmELj4sjqgsJx0PIVV2b0XBVTIF6xMRfPmphb4WccH8v\nvrMymgShl8zMTMLDp84v6urqwmaz0WHy5z9HOzjRNoC/tzs3L5Vyx4r4OYUVzgadnZ12kmdcHJ81\n9/ObKTxttHozr55NCVeeTQm/a0UCa5P9aW6oIykpaVYPVVe6KIO9yPnX5208c6QDEfaHtY+HiOvz\npdyxPI6kszwdh8Hj+S5wRqNWMcTLJTLer+vDahNYmx7GNblRvF/Xx/t1faRH+vPY1elkx8x+38yn\nwBmzRvkQL5d+scY1qWK2F0tZPoHDb/+wicffb+bjRhV50iB+s2V+wZ4w/XGwCQJHz3KJjrYO4Ol+\ndnxVKCV7hnwn7YievxxsZl/tIFF+Ir671J/ilEhCQ0OdhoPzgdZg4bWyLnaVyegZsRER4MVN+RNz\nib4q6OvrY3h42OkF83VAb28vIyMj437TNddcw6uvvvq1IlSfg4sFzoXCQnvbzPcBa7UJ7CmT8dQn\nLQwbrewojmVTPJh0WnJzc/H2nt5YTSaTYTabnW8ItXItzx7r4L3aXkTAxpwovrkygaw5POhmgq6u\nLnqHTbxQNcIHdb0kh/vx8NWZU3ramK023qvt4bljndQphgj0gm2Fsdy5OnlWzr6ucFF2oKR9gAff\nrqddpePavGh+cWU6/cMmXjjRydvn8HSs8npWrVp1QQscB3qHjOwqlfFKmdyZfbUuI4wntmSMUXfN\nBq4qcBzoGzKy55SC104pUOvMpEb4sb1IyuazAZXv1/XxxPvN6ExWvn9ZIjuKY10yap3NcWhT6dhV\nJuetqh50Jit50iC2F0mm7JjUK4f51dsNtPTp2FoQw4/WJiGympz8HZ1OR2BgoJO/M5PreSKMjIzQ\n2tbGgI+EXWVfcIk2ZIWzrVBKnjTwKyUj7+npwWAwkJCQcKGX4jIolUpMJhPx8fFj/r5+/Xo+/fTT\n865yPY+4WOCcb7iSSDwVamtrkUqlhMzS5A6gomuQx95tpE4xxLKkUO5fl4hOcQaxWExKSsqM16xQ\nKNDr9SQnJ4/5u2xQz4snupyE5JXJYu5elcDqlNlzGSaDxWrjbx/W8HxZHzZEfPfSJO5eObWnjQNW\nq5Xa2lpqek0cUrrxWbMab48vVE0zcR+uqakhLi5uWq7OVBjUmfnjwWb2npITF+rLo1syWZUydo6u\nGjaxq7SbV0q7UI+YiQ8Uce/6LDZmRyESrOO+83wWOD1aI795r5nPWtRIgr1xE4noHjQQ5u/J1gIJ\nNy+NcRr4zRSuLnAcMFpsvFdrj6xo7B0h0MedcH8v2lR6cmICeXxLuktdp0tKSiguLp7Vv3GMr3aW\nyugcMBAZ4MXNBfbxlWM/WmwCzx3v4h+fdxDq58lvrk5nVcr4gl4QBIaGhpwFj8VimZPh4PDwMJ2d\nnSxatAiADrWe3eVy3qxUMmy0khUdwLZCCRuzIyflZH2ZoFAosFgs58Vi43zB4SZ8Lvdu9erVnDp1\nakGEKF8SXCxwzifOZ9xCfX09UVFRiMWTdyvOhWrYxJ8ONvP6aQVRQd784so0CiPdaG5uJisra1bf\nBfa3oaGhIVJTUyf8/xq9mT1lMl482UnfkIn0qAC+uTKeTfMwuwM43aXh4f31NCiHKYr147ffWEKc\neGZvKSMjI1RVVREbG0tsbCwikYgzfSM8f7yTNysVzm7JXSvjKU6c3PWzrq4OiUQypwJTEAQO1PTw\nxHtNDOrN3L0ynnsvTZ7Sz8XB0/nnJw3IhgUiAhyZUhJCR0VknI8CRxAE9p1W8uePW7FYBb53aSK3\nFUtxE9mVUy+V2N/0vdxFbMqO5LZiKRlRM+MqLVSBM3rtzxzp5H+PdmK2CoiA9Znh3L7M7pLsqmt2\nLgWOAw4p/M5R46uN2ZFcnh7Gc8e7qZRpuTIrggeuSp1xPIojddohSXcYDoaGhhIcHDwp70yr1SKT\nycjKyhrzd53Jyv7qHnaVy2np0xHi68E38mPYujRmwUfT88FkxcBXGZNdM6tXr+b06dNfqQ7bLHGx\nwDlfcHRtzlfcQmNjI2KxeEbzVYvVxq7Sbv76aSsGs5U7lsfz7TUJyDvaGBoaIjc3Fy+v2c/U+/r6\nGBgYmFZyabLY2F+t5NljHTT3jhAV5M3ty+LYOktC8qDOzF8+auHVUzIiA7353opIlka6T1pgnYue\nnh5aWlrIycmZsPOiGjaxs7SLV0q6GdCZyY4J5K6VCVyVHTluVFBfX090dPQYd+OZoHtAz6PvNvB5\ns4rF0iAevyaLzAkM7ybD0aNHEaIyef643U/H28ONaxbbM6WSw/0WvMDpGtDz6IFmTrYPUpQQzCOb\n0ifMOGrt17GzVMZbVXYJ97LEEG4rkrImTTylbHkhC5xBnZknP2zhvdo+sqID+P5lCZxs0/D6aQVD\nRiuLogO4rVjKlVnzT1x31XFw7MfXK5WYrQLuIthaEMNP1iXj5TH3N3Oz2ewsdjQaDd7e3s6CJyAg\nwHn/0mg0KJVKMjIyJvweQRAo7dCws0zGp00qANamh7GtUEpRQvCX7uG60AX0hUB7ezt+fn5j1FKC\nILBmzRoqKiq+dMfAhbhY4Cw0ztdI6ly0tLQQGBjodK+cDGUdAzz2biONPcOsShHz640ZSALcqKqq\nIiIigqSkpDmvWaVS0dfXN2PTLEEQONyiGkNI3log5fblUxOSBUHgrUoFv/+wGY3ewu3L4vje2mR0\nGjUajYa0tLQpt2uz2WhqakKn07F48eJppd0Gs5W3K5U8d7yD1n4d0UHe3L48npsLpM6CrKGhgYiI\niBnLTS1WGy+d7OKvn5xBJBLxo3UpbC+OmzXfYzTJuE424PSBMVkFLkkRUxwyzB1XLnP5eWi1Cews\nk/H0oXbcRCJ+vC6JG/NjpvWG0ejN7K1Q2omqQybiQ33YViTlutyoCXk6C/UA+qSxn8fes58/374k\nnrtXxDmLVp3JyjvVPbxSKqNNpbeP2JZK5kWmdVWB0z9s4uF3m/i8RU2C2BeT1YZCY5xwfDUfGAwG\n5zhrtOGgu7s7Go1mRr4xCo2BPacU7KtQMKi3EBfqw53LYhcs+mMu6OjowMfHZ9r75lcJZ86cITg4\neIwoRBAELrnkEiorKy/gyhYcFwuchYTD2+ZCJIC3tbXh7e09qYV675CRP37YzNtVSiICvHhwcwZX\nZEXS19dHc3PzuGyluWBgYACFQuGcz88GMyUkn+kb4ZH9DZS0D7AkNphHt2Q6Ox4z6SAZDAYqKyvn\nVMzZbAKft6h49lgHJ88WZDctlXL78jiGezoJCwubVmnm+K0Pvl1PrWKItenhPLQ5E0nI3Nr4owsc\nh9GfasTEq6cU7C6Xox4xkxbpz45iKZuzI+fdiQD7MXjo3SaqZENckiLmoU2pRAfNbv1mq42PG/t5\nqURGlWyIQG93blgSw62FEqSj9oWrCxyN3szvD57hnepeMiL9eeKajEnHZTZB4HjrAC+fNeZzKpuK\npLNWhLmiwJnItA/gSIuanWXyL8ZXiyLYNgv11XRwGA4ODAzQ09PjDG2cieGg2Wrj6c/aef54N/7e\n7gwbrQR4u3NdbjRbC2JInKc6bb5oa2sjICDga6Usam5uJjw8fMz9/GKBM+pDFwuc2WGhvG1mg46O\nDtzd3cfE14P9BvPyyS6ePtSK0WxDQMBqg7Xp4ayPhUR/y5xHUudCo9HQ1dVFTk7OnL9jMkJyQVww\n/zrczrPHOvDzcuen69O4calkTMbUdB0klUpFQ0PDnPhF56JWruW54528V9ODAKyI9eX2ZVIuzZlc\njaEzWXn60zO8cKILsZ8nD2zKmDYmYjqcW+AAzu8zWmz8ff9JjvR50dw7Qpi/J7ecJfvORiHmgNlq\n49njXTxzpBM/L3d+cUUKm7Pnt36ASpk9DuJgfR8CsC4jnNuKpeTHBtHd3e2yAuezZhWPHmhmQGfm\nW6vi+NaqmfvDOJRNb1Yq0Ztt5McGsb1YyroZOjnPp8AZMlj47YctvFPdy6LoAH57bSbJ4eMLg3PV\nV7lSexDpBhf61ahUKgYGBggPD3eOtGw2GyEhIYSGhhISEuIksXao9fz8zXpqFcPckBfN/RuSaem3\nr/GDuj4sNoFVyaHcWihhdYr4vBuDgr3bERIS8rUy+mtoaEAikYxRdJrNZjZs2EB5efkFXNmC42KB\n42ospLfNbNDd3Y3Vah0jdzzRpubxA400946wJi2MX2/MIMjHgxeOtvFySRfDZsiTBnHP6kTWZUbM\n+wYzNDREW1sbubm58/054wjJHm4iLDaBa3LtsumwCUYFk3WQBEGgtbUVtVo9Y8n7TKHUGHjxZBe7\nSzoZMQsUxIdw98p41maM3Z+fN/fzyP4GZIMGthZK+en6VIJ8Z+96fC4cBU5vby8NDQ14e3sTFhaG\nWCzG39+fsrIyCgsLOdE+yIsnuzlyZgBvDzeuzolkR7F0xkqhOsUQD+1vorF3hCuzIvjllSkuGYWM\nhlJrYFeZgr0VCrQGC4uiA9iU6svalGDiY+ce7qg1WPjDwTO8VdVDWqQ/j1+dzqI5WhUMGSy8UWl3\n9pUNGogK9OKWQgk3LomZkuA71wLnZPsAD7zTRN8sTPvONQ8M97ePr26agXngdOjv70er1Y5RSp5r\nOOju7k75gBf/Lh/E092NRzansSFzbIekf9jEvtMKXi1X0DtsQhriwy0FMVyfF02wC66LmWKibsdX\nHXV1dcTHx48xHdVqtdxyyy0cPnz4Aq5swXExqsGVsNlsyOVyfHx8LmhxA3b5psViITQ0FKXGwIPv\n1PPHD1vw9XTn99dn84O1yYT6eaFR9+E3LON7Vy4mPiKY460D7C6Tsb9aiYe7G2mR/njM8W3PYrGg\nUqlcYuPu4+mOJMSHRuUwbSodHm4irAIM6Mx4ebiRFuGP9zmOuI5k4NHkOkdQpqenJzk5OXOKkYuz\nNgAAIABJREFUUpgKAT4erEoJY2WklchgP8q6h537081NhNjXi0ffbeDPH50hMtCbv92Sx/biuHFr\nnys6OzsxGo309vaSm5uLWCzGZDKhUChob2/HYDDg7e1NcmQQ1y6RcNWiCAwWK/trenmlVE6VTIvY\n35PYEJ8Jz1+jxcbfPmvnwXcaERDx5LUZfPuShAXhUAR4e7Aiyf5GHxPkTXmXhgONGt5v0mC2QnK4\n36wS1wGOnFHz7d3VVHZruWdVHL+7NpPoeah6vD3cyIsN4tZCCVnRAXQNGth3WsmuMjlyjQFpiM+E\nhZ9MJpuVUsdgtvLnT9p4/P0Wwv29+PvWHK5eHDWjlxAvDzdypUHcUighTxqEQmtf4yulMtrVeqIC\nvYgKmrsPjtlsHlMQuLm54efnR1hYGAHiSJ46McDuqgEywjz4YZ47MZ4GzGbzmIR0Py93CuND2FYk\nIT3Sn3aV/uwa7YVjTJD3eTEPVKlUBAYGuswB/ssApVJJeHj4mHudWq3m4MGD7Nix4wKubMFxMarB\nFRhNJD5x4gQrV6680Euip6cH9aCWw72e/PPzNqw2gf9ancg9qxPw8XTHarXS2NiI0Wgc86C32gQ+\nrO/lP0c7qD77sLutOI5txbGE+s3uBqPX66mvr2fp0qXz+i1mq40XT3Txt0Ot2ASBey9N5o7lcZxs\nH+DZY50cb1Xj5+XOzQV2/ov0bKKzVqulo6ODxYsXAzA4OEhtbS1paWkLnr/S2tqKr68vEZFRfFjf\nx7NH26mWDyECRCK4a0U8961LdQkHxgGTycTnn39OfHw8aWlpmM1mp2oP7OfpyZMniYmJQa1WY7FY\nCAkJQSwWY/Py5/VK+1u+asRueLejWMrmnCinf8mpLg0P72+iXa3nutwofro++by+XdsEgbdONvF2\nwxBlMp2z87S9SEraNEnhQwYLf/qoldcrlaSE+/H4low5J6BPh6beEXaWythf04vxrEJse5GUNalf\njF1mIxOvUwzxq7cbOdOv45YCCT9elzTrwu5ctKt0Z/1qehgxWVksCWRbkYQrsyJmNb7q7e1Fp9NN\naPd/sn2AX73diHrEzA8uS+SO5bGI+CIhXa1WOw0HQ0NDEYvFY7qpTb0j7C6Ts7+mxzkGvLVwaoPD\n+aK+vp7Y2FiXOZB/GVBZWUlWVtYY2kFrayuPPPIIb7zxxgVc2YLj4ohqvjjX28aRBXSh8W55K3/+\ntBPZkIXLM8L51cYMZyaQw+tFIpEQHx8/4Zu6IAiUtA/wn6MdfNaswtfTjW/kS7hzZcKYbKGpYDQa\nqa6uprCwcM6/o7xzkEfeqaepd4S1GeE8sDGD2HO2X6fQ8uyxTg7U9ABw1aJI7l6VQEKgiLa2NhYv\nXkxnZycKhYLc3Nzz4tw5muTd1j/CQ+/UU9I+SIivJ4N6M57uIrYsjubOlQkz9oCZClqtlurqaiwW\nC5deeinAGKdsB0aPRqxWK4ODg6jVamd2UWBwKGV98FqViqbeEcR+ntywJArViJk3K3uICfbm4U3p\nrEy+MC18B8lY5xHEy6Uy3qm2FxErkkK4rTiW1Smh45Rbx1oHePjdJnqHjNy1Io7vXJJwXkznBnVm\n9p5WsLtMTs+QidgQH7YVSbguN5qG6oppR1QWm8Czx7r45+EOxH6e/GZLOiuT58cVOxcjRgtvV/ey\ns0xG+1mF2E35Mdy8NGbS4NnRmMgldzSROEHsy++uy5yUhD2Z4aBDku7h4YFGb+atqh52l8vpGjA4\nIyFuzI+e0Rpng4nGOV91nDp1itzc3DHmjTU1NTz99NPs3LnzAq5swXGxwJkvbDYbRqPROZI6duwY\nK1asuGDjKdmgnt+938SH9X3EBLjz6LWLuTT9CyWPXC6nvb2d7OzsGbvsNvcO8+zRDt6pVmK1CVyV\nHcU3VyWQI5k6hsBsNlNRUTEnQzP1iIk/HWxhX4WcmGBvHtiUwfrMqbsuCo2BF090sqdcxojRSmFc\nEGslNpbGeOPt5UVmZuZ5c+1sb28HNw/ebTXxr8Pt+Hi4cf8VaXwjX0LXgJ4XT3Syr8IeYbAqRcxd\nK+fu5Ow4pnl5eVRWVjoL7OkKnHNhNBpRq9Wo1WqGhoZoN/iwt8lIY58RgOQwXx7bkkGedP7xE3PF\nuSqqQZ2ZvRUKdpXJ6R02kSj2ZXuRlGtyoxAEgT9/3MZrFQoSw3x5YksGuRdg7XaFmIpXSr8I+VwR\nBfdtzp9UNdSp1vPLtxuokg2xcVEEv74qdUG7ZTZB4ESb3VbgcIsa97NxC9uLpORKJo9bONf5t02l\n4+dvNlCvHOam/Bh+uj55VuPLqQwHA4OCON6mYVeZnCNnzq4xM5xbCyUsiXWNCWNNTQ3Jyclfq/iC\n0tJSCgoKxohdSkpK2LVrF//3f/93AVe24LhY4MwXo9UqACdPnqSgoGDGVueugtFs5T/HOnjmcDsA\ndxXHcFm0lSW5dgWT1Wqlvr4ei8VCTk7OnNbXozXwwoku9pR1M2y0sjwplG+uSuCS1LAJby5Wq5XS\n0lKWL18+423YbAL7KuT86WALw0YLd66I597LZneTHDJYeK1cxnPH2ukdNpMQ4sW31qRwTW60y7gu\n0+FASQNPHe2lY9DEppwofnVV+ri3zUHdFwGfvUNG0iL9uWN5/IzXabPZaGhowGQyOY+pg2QMsy9w\nRkOjM/Hk+00cqFcT4StCGiCiTm3DZIVlicHcvixuwm7JQmMymbjZauNgQz8vnZRRoxjC19MNd5GI\nEZOVO5bHcu+ahFmlli8UauVDvFIm40BNL1YBLkkRc1uxhBVJdldsQRB47ZSCP33cioe7Gw9elcrG\n7IUdp56LTrWeXaPiFrJjAthWKOWqReMNDuVyOTabDalUyr7TSv5w8AzeHm48sjmddRnTWyRMh3MN\nB728vBCLxYyI/NjfoOGNqh6GDBYyo/y59WwkxHzGd1VVVaSnp3+tODgTXfOHDh3i4MGD/M///M8F\nWtV5wUWS8XwhEomwWr/I/FEqlURERJzXAudQUz/f2VXJh3V9rMuM4F/blrA8PgDN4ABRUVEMDw9T\nUVFBZGQk6enpc+5iBHjbCbTbiuII9vXgUJOK3WUyPqzvw8/LnZQI/zGkR5FIRFdX14xzXRqUQ3x/\nTxU7S7vJkQbxz21LuCYvZtbzdm8PN6I8dOT5DRIb5Inc6Mmr5XJeOyXHZLGRGuk/bw7DZNDqzTzx\nfhN//kyGj4eI/74pl/+3JmlC0zofT3cKEkK4rTiOxHA/Krs1vFou59VyOXqzldQI/0njGQwGAxUV\nFQQHB4/pTI3e347zcnSBI5fLpyW3ftTQz717aqlRDPPNlXE8dfNiblgayxUpfrhbTRzv0PJ6ZS/v\nVMqxWsykRwcuGCfiXGi1Wtzc3MZxJNzdRKRF+rNxUQRtKj1NvSOYrAJuQHiAF5JgH6KDvC+4a2tk\noDfrMsJJFfWQHC/h02YVr51S8kF9PyNGC88c6eKVMjnFiSE8c8tilsTNPctsrgj29WR1iphthVKi\ng7yp6Nay77SSvacVDBusJIp9CTh7Pms0GrRGG098LOP5E90UJgTzzK2LWTxNd3emcHd3x9/fn/Dw\ncGe2ntFoRK/pJ0Y0yOa0ABIjAmnsN/J6ZQ97yhUM6s3EhfrMqeOlUCiIjIz8WuUzTXTN19XVoVar\nWb9+/QVa1XnBRZKxK2A0Gp3/XVFRQUZGxnlpcXapdTzxXhOfNvWTHO7HA5synGGMIyMjNDc3ExER\n4STaupo4d27EQnSQN3ecdfQNOOvoO7qjMBlGjBb+dqiVF050EeTjwf1XpHH9kpg5PYysVisNDQ1Y\nLBbS0tKora21y6Lb7Hyiwy12PtEN+RLuXBFP/AwzqqaDIAi8X9fLEwcaUY2YuCEnlB1LxGSmJs3q\nO060DfDcMTvvabKAz4GBAerq6sjMzBzn1zGfDk7/sIknP2jhYEM/mVH+PLp5Yvm02Wrj3SoFL5Z0\n09xvxN8T1if6cHN+NOlxkQv69juV0V9pxyAP7m9CPmjgtmIpN+VH80ZVD3srlAwZLGTHfBG1cL4K\nssngOA4mi40P6vv4+2ftyDT2+8iyxBAe2ZQ2jmt2oSAIAifaB9lZKuOzZvtoaH1mONuLJHTIlPzl\naD9DJhs/XJvEjmLpeevqjTYcVKlUVPcYOKwUcVJmRBBgTaqYWwslrEieeadxIr7KVx0TXfP79u2j\nq6uLBx988AKt6rxgRgf963OkFwiO1jLY3zhGd3QWAnqTlX8faeffRzvwcBNx/xVp7FgWN659PDAw\ngJubG8XFxQtywXp52AuF65fE8Hmziv872sHvP2zmH5+3cUuhlB3L4qf894IgcLC+jyfea0SpNXLT\nUgk/2ZA6a7WWAzqdzkmejouLw2q1Oh/wK5LFrEgW09QzzHPHO3i1XMbO0m6uyIrk7pUJ83pTlg8a\neOzdBj5t6ic7JpB/bV9CqDDkNHqcKUav80zfCC+cDfjcUy7jsvRw7lwRR4zbEEqlkqVLl+Lr65oH\noCAIvFPdy+8PnsFgtvLDs4qXyYoAT3c3rsuXcu0SCae6tLx0spu3m1Tsb2lnWYyM9fFu5MWFzjqZ\neq7Qmaz89dM2dpbJiQv14bkdeRTE24/njy9P5turE9hf3cPLpTJ++VYjf/m4ja1nfWDmYnDoCjju\nF3qzlSNn1Mg0RpLD/ZAEeXO8bYDN/yzlsrQwthdd+MwmkUjEiqRQViSF0jWgZ0+5gn0Vct6v6wNA\n7OvO8zvyzju/SSQSERAQQEBAAHFxceTabGzRammR9fFmdT+fdqr5rEVNbLAXtxZKuX5JzLTZdjab\n7YIYs55v6HS6rxXPaD642MGZBo43ZYDa2lpnK9XVEASBjxv6eOidBlQjJjbnRPHzK9OIOscWf2ho\niKqqKmw2G5dcconL1zEVqmQa/nO0gw/renF3E7Es2o1fXldEauRYVUKXWsdvDjTyWbOKjKgAHrk6\nk6Xxc99nvb29NDc3k52d7dz3U3GAerRGXinpYldpN1qDhaXxwXxzZcI4Q76pYLUJvHyyi6c+OYMg\nCPzw8hR2LIvDw90NuVyO0WgkKWnmHZyJoB4xsbO0m50lXahGzCSFePDttemTJq7PtoOj0Bh49EAz\nR1sHWBIbxKOb0yd0xZ0OXQN6dpbKeb1SaXfNjfFjY7I36f4GPNzdEYvFiMViAgMnJ6zOaDvndHDK\nOgd5aH8TXQMGthdJ+MFlSZPytWyCwLHWAV4usadwe7mL2HxWZu4KJdtsUFJSgiU8jQf322XU/291\nPPesisfDTYRSa7SPVM9mNqVF+rO9UMKmnPnxS1yFM30j/OyNBpr7RgjwcmPYZCPUz5NvLInm5i9R\nWrjOYOLtii72VvbSqDLjIYL1Kf5sK5KSlxg5YSFTWlpKYWHhBR9lugqCIFBWVjaug/PMM88QEBDA\nt7/97Qu0svOCixwcV2B0x0atVuPr6+vy6ritf4Sfvl7Lvz5vx91NhMlqw2C2EezrSVpEAJ7ubgiC\nQHd3Ny0tLWRnZ6NWq8dFNSw0ooJ82JgdxTW50ZgsAgebNLxU0k2tXEt0sDdh/l78+0gHP9pbg0Jr\n5CfrU3ny2kVI59iOdwRl9vf3k5+fj7//F6OcqThAAd4erEgWs704lvAAL46eUbO7TMa7NT14uIlI\njfCfcoxRp9Dy3V1V7KuQsyJZzP9uz+fS9HBnVMTw8PA4A7S5wNfLnZxIb7I8+kiXimkasPFquZx9\nFXIsVoHUSP8x5Nmuri5iY2PHcMMm4uDYBIE95Qru21eHQmPgp+uTeXBj2pw7Gg7exi0FEkL9PDnR\nruH9lmFOqTyIiIwgPtgLdX8vbW1tDA4OYrFY8PDwmLXRooOD4+Hjx18+buPx91oI9PHgqRsXsbVA\nMuUxE4lExIt9uXpxFFctisBsFXi3ppedZXLKOwcJ8vEkPtR3wUcsOpOFpw518j9HlUQGevGPrTls\nyol0bjfA24NlSaFsK5QQF+JLtXyIfaeVvHpKgUZvISnsCw7M+YRw9pz58ev1WGwCf7w+i7uyvSiM\nD2bY4sYblUpeLpXR1GOPAZEEX1jOk6eHOzlxYi5Ji6CkY5C+YTNtg2Zer1bxaW0XGlUfYV5WPM+e\nhyKRaEYcta8SBEFAqVSOyyQ8cuQIkZGR5OXlXaCVnRdc5OC4AqM7OM3NzQQHB7vMSG7EaOFfn7fz\n3PEOvD3c+MHaFG4plHK4RcW/j3RwultDqJ8n24qkLA0YIsTPk6ysLNzc3L4UnjwfHDpKsxDDSyVd\nDOrMeHu4YbTYuCIrgl9vzJiXi6zRaKSyspKwsDCSk5MnvJnOhAME9jTvD+v7ePaY3eDQvk9j2V4c\nNyYGQmey8rdDrTx/vJMQX08e2JTOxuyocdtWKpWMjIyQkpIy598H9sDQpqYmcnJyCA4OdiauP3+8\nk6Nn7AaH38iXcPvyOOLFfmNsCibr4IQnLeKRA82c6tKyIimEhzeljwm0dAUsNsEennlSRqVMS4C3\nOzcsiWZboYRgD6vT6M1oNDpzixy+J1Ohq6uLhn4zTx3vp3PAwK2FEu5bO3nXZjpo9Gb2nVays9Se\nZh4X6sO2QinX5UUtSBFRIx/iF2810KHWc1uxlB9eljituksQBMo6NewslfNJUz8i4PIMu4R7aZxr\n5NHTQTVi4qH99tTyVcmhPL4lg/AAL1pbWwkKCiI8PBy5xmAfX522F2Jpkf7cWiBhc07kBUsL/7ix\nn4f2N2G1CTy4MY1VyaG8Ualkd7kcucZImJ87a+M8WRFpIzY8iMHBQQoKClwa33IhYTabqampIT8/\nf8zfn3zySQoKCrjxxhsv0MrOCy7KxF0BR2I4fOFgO98wQEEQeK+2h9990EyP1sgNS2L4yYZUwgO8\nx3ymvHOQfx46w5HWQXw8RNxUEMudK+KJDfWd8cN9IXHs2DHScwt44r0mDtT04O4mwmoTSBD7cueK\nBK5fEjOpUmgqqNVq6uvrJyTanrv92ewDQRAo6xjk2WMdfNLYj5eHG9fnxXDnynhkgwYefqce2aCB\nmwuk/HTD5N4kvb29aDQa0tLSZv3bHOtw5GXl5eVNGH7aoBzi+eOd7K9WYrEJrM+MoDhoiO1XrsDd\n3X1Mkj3Yi44n9x7n7TYbXh5u3L8+mWtzxxdnrkaVTMtLo8Iz12eGs6M4liWxQdhsNjQajdPozc3N\nzelqGxQ09uFtMFt5cn81b9ZpkQR789jVGRQnumYUfK5Xjb+XO9efLchmamw53ff/+2gn/3ukk4hA\nb3akw+1XLpv198g1BnaXy9lXoURrsJAVFcC2Irs8eqHMCw+3qHlgfyPDBgs/XpfMtkKJ87hMFE5p\nMFt5r7aPnWUyGnpGCPTx4IY8e1q4K/blTGC02PjTR63sLpezKDqAP16fRbz4i21bbQKHW9TsLren\nrnu4iVibGkyen4bFMf5YrdZxhoNfRRiNRhoaGsZ1ah544AGuuuoqNm7ceIFWdl5wscBxBUYXOJOl\neM8GTT3D/OZAIyXtA2THBPLg5gzy48bfyAVBoKurC5lMhr8klZ2nenmnSokAbMyOoihgkFuuWj3n\ndcwXVpvAb1/9nDdbBQwWK/esSuRbqxM43KLiP0c7qDrbKdlebO+UzGQ8IggCbW1t9Pf3k5ubO61i\nZz5FnoPo+/ppOWar/bSOCfbmD9dnU5w0taNsX18fAwMDpKenz3q7ZrOZ6upq/P39SUtLm5b02Dtk\n5xPtLpUxqDezWBLI3asSWZsWihv2Dk5jzzAP7W+iTjnM5elhPHBVqstdYKeDQmNgV5mcvRUKhoxW\nciWB7FgmZX1mhDOB22QyObs7Wq0WPz8/xGIx3QYvHv+wnXa1nqszg3lwS86CdQWqZVpeLpXxYX0/\nVpvAZelh7CiWUhg/N7Jva7+OX73dQK1imC2LI/nZuiRaG2ooKCiY8xr1Ziv7zzoQt/TpEPt5cmN+\nDFsLYoh00XE1mK389yd28nZapD+/vzZzXCRGS0uLk191LgRBoKJby85SOR819GE7q2zaVvSF789C\noLVfx8/esLuf37Eslh+uTZxydNmu0rHnlIK3KpUMGa1kRvmzdWkMK6Ve6Ic14wwHg4ODvzJEZJ1O\nR2trKzk5OWP+/pOf/ITbbruNNWvWXKCVnRdcLHBcgdEFzkQp3jPFkMEul37pZBcB3u78aF0qNxdI\nJyS9OlqP3t7eZGRkOH0blBoDL5zoZHeZDJ3JyuoUMfesTmT5At5QJkK1TMsj+xuokWtZnhTKw1dn\nkhz+xc3R0Sn5z9EOPm3qx/usIuuuFfEkTOLu6njw+/n5kZ6ePqObzHwKHEEQ2HtKzu8/bGbEaMHT\n3T5eWywN4u6V8VyRFTlpEGl/fz8qlYqMjIxZbXNoaIjq6mqSk5NnHVKqM1l56s1jHFK40aHWIwn2\nZmuBhAGdmZdLZAT5enBrmhv3XHn+jSjPXeeblfawx84BA9FB3mwrlPCN/BiCRqlcBEFArR3m6U9a\neb1OQ6gP3LPYh2WJISQnJy/4b+gdMrK7XM7eCiUDOjPpkf7cVixl0wy7JTZBYGepnKc+bcPX042H\nNtlTtK1WK6dPn55XgeOAIAiUdAzySqmcQ00qp7vvtiIpedK5E7qbekf4+Zv1tPTpuK1Yyn1rkyb8\nzU1NTUREREzLNevRGnn1lIK9pxWoR8wkhvlya4GEa3OjJvSImgsEQeDNqh5++0ELPp7uPL4lgzWp\nM4+20Jms/P3dEo73e9HcO0KQjwfXn+08RQd4OGNNRhsOhoaGEhAQ8KUlJQ8PD9PZ2cmiRYvG/P27\n3/0uP/zhD+cVo/MVwMUCxxWwWCxOQqdCoUCv15OcnDzjfy8IAm9VKvjjwRZUIyZuLpBy3+Upk3Y0\nNBoNNTU1pKSkTPoQ1OrN/G7fMT5TiOgfNpEtCeSeVYlcuShyxiqhuUCrN/PUJ2fYWdpNuL8XN6W6\n853NRROOWBxo6R3mueOdvFWpwGITJpRuO35zamoqUVFRM17PXAuc1v4RHj6bH1WYEMJjW7KQBPvw\nZqWC54930q7SIQ3x4fbl8dy4VDKOr6FSqejr6yMzM3PG21QoFLS1tZGbmzvnLJyTJ0+Sv3Qph88M\n8j+ftNDQMwJAcrgvv782kxFZE0uWLPlSGJlZbQKft6h5qaSb0g4Nvp5uXJcXzW1FUuLFvlTJtDzw\nTiNtKj035kfzo7WJKDrbMBjsadQikWiMOmuh3qoNZisHant5qeSLbsnNS2PYWiCZNOFaqTXwwDtN\nnGwfZE2qmEc3pzs/a7FYqKqqmncI7bnoGtCzu1zOG6ftnYicmC8CNGca6moTBF4plfHfn7QR7OPJ\n41vSWZUyeZHQ2NhIdHT0jGNfHL4/O0vl1CiG8Pdy59rcKG4tlEwaWzETDBstPPZeM+/V9rEsMYQn\nr8mYUyfLoaI61aVlV5mcjxvtXbzVKWJuKZQ43bsNBoOz0zg8PIy/v79ztOoq+wZXQKPRoFQqx71o\n3XHHHTz++OPjCp+vGS4WOK7A6AJnttyLesUQjx1o4FSnhrzYIB7clMniSfwkBEGgo6MDpVI5o9DI\nY8eOUVC0jLcqlfznWAftKh1xob7cvTKBG/JjXGpdLwgC+6t7+N0HTahHTGwriuW+dak01pxm8eLF\nMyLt9Q4ZefnkF9LtgvgQvrkynhQ/PQq5nLy8vFmr02Zb4JgsNv73SDv/+rwNX093Z36U26ii0GYT\n+KSpj+eOdVLWMUigjwdbC6TsWBbnJE2r1Wp6enrIysqadpsOJZher2fx4sXz6kyUlJSQkZ3L3z7v\n4KUTXYj9PUkK8+V09xCCIFAQ5cH3NmSRH39hwjInQ71ymJdLujlQ24fFJhAX6kP3oIGoQG8e3Zzm\nDJkcLRN32PirVCqGhobw8fFxFjwL4fHh6Ja8XPKF4d3G7Ai2F0mdYZKCILC/ppffftCCxSZw/4YU\nvrEkeswbvqMT6eoCxwGdycrbVT28MipAc+tSCTctjZm0IAPoGzLywP4mjrUOcFlaGI9unl5V19DQ\ngEQiISho9h441TItO8vsfjoWm8CqZLtybHWqeFZKthr5EPe/WY980MB31yTyzZVxc3qJm0hS3Ttk\nZG+FgtdOKekfsZPQty6VcF1elJN/N9pw0EGcDwoKco60pnq5W2g4suVSU1PH/P3mm2/mmWeeGROS\n+jXExQLHFRhd4Mz0zX1QZ+avn5xhd1k3IX6e/HRDGtfnxYx5kI6GyWSipqYGX19fMjIyZjyecShq\nrDa7h86/j7RTJdMi9vdkx7I4thXFEeI3vxC/M30jPPZuAyfaBsiRBPHolkxnEOepU6fIysqa1VvN\nsNHC3lNynj/egUJjRBLozv+7NJXrl0hmnSU1mwKnrGOAB9+up7Vfx+acKH45QX7Uuajq1vDssU4+\nqOvBTSRiU04Ud69MINrHgkKhmPYNyWg0UlVVRVhYGElJSfNudT934DgvNViQaYzcWijhB5cmEODj\niVJrYGeZnD2l3egssCQ2iNuXSbk8PXxBO3qzxeEWFb9+u4kBvd0kMS3CjzuWx7JxUSReHm6TOhkL\ngoBer3fe0A0GA0FBQc4xwmzl6NOhU61nZ5mMNyp70JmsLI0L4rq8KD5rVvNxo4r82CCeuCZjQlLt\nZMoWV2N0gObnLWo83ERctSiC24qkZEvGOlR/0tjPw+82YTDb+NmGZG7Kn5mTeF1dHXFxcfNySe8f\nNp0tIhT0DttT128plHB9XvSYkeVEv++lkzKe+rSN8AAv/nBdJvnzMOycanRoJ6H3s6tMzqkuLT4e\nbmzOieSWAgmZ0WO7rTabbUxCus1mcyoFQ0JCzmv3tL+/H61WO26isGXLFvbu3Ut4+Pzzwr7EuFjg\nuAKjC5zBwUFkMhnZ2dkTftYRJvnnj1rQ6M1sL47j+2uTp8xNcVjzz3Y8M1Hwp4P78n9HOzjU1I+f\nlzs3LrXHFkhDZtdaNZit/PPzNv5ztAMfT3d+vC6VrYVjOUOnT58mLS1tjD/NTDA8PExZxfFDAAAg\nAElEQVRFZRVt5hDeaBiiTjFEeIAXtxXHcWtR7IyLspkUOBq9mT8fbGFPuQxpiA8PX53JpWmzu/Ad\nCeF7T8nRmawUxQdxZYI7t61bOumDYnBwkNraWjIyMuZ9o9Hqzfzug2b2VchJEPvy5HWLyJMEjFFR\nARwvPUWLNZyd5Uq6Bw1IQ3y4rUjK9Xmu40LMBSaLjX8e7uDZ411EBHjxqytTUZ/lDp3p19m7EAUS\nVkcJhAd6T6tStNlsaLVa50MGGKPOctU4a8hg4Y1KJc8etxsxAqxOCeWJLRmTdj9MJhN1dXUsWbLE\nJWuYCTrUenaVyXizsocRk5U8aRDbiySsSg7lqU/bea1CQVZUAL+7LnNWRo+1tbUkJibO+vqeCI4i\nYmepnIpuLb6eblydYx9fnUtuVo2YeOCdRo6cGWBdRhiPbk6fd9r6TAvPxp5hdpXJOVDbi95sIz82\niFsKJWzIDJ+QzGyxWJxKwcHBQdzd3Z3n4kKOVgF6enowGAzjOKHr1q3js88++1KN0xYAFwscV8Bq\ntWKxWAA7SdTBozgXVd0aHjvQSLVMS2FCCA9uyiAzevI3H4diqK+vj9zc3FmfjKWlpZNKjMF+oT57\ntIP91Xbl1aacKO5ZlTDlmhz4rKmfxw400j2g59q8aO6/Im2MhN2BqqoqkpKSZvWG5+CiOPKzHBlN\no7Okblwq5Y4V8dPKTqcqcBxS/Cfea2JAZ+aO5fF8f+3sksvPhVZvZk+5jBeOd9A3bCYt0p87V8Rz\nTW6MkwfhUL/J5fIZjRqnw0f1vTzybgPqETObk7359XX5hAT6j5OJg73gXLRoEe4enhxqUvFiSTen\nuuw+NTfmx7CtUHLenWhr5UM8sL+Rlj4d1+dF8bP1KU5LfUEQON42wEslMo6cGcDTTcTlKYH812Vp\npEfO/KHqGGc51Fmjx1m+vr5z7pyNGC388aNW9p1WEhPsjdjPk1rFML6eblyzOIptRdJxBYPJZKK+\nvv6CmKwNGy28VdXDzrMEb3cRWAW4tSCGn21ImXVGV01NDcnJyS4fCdYrh9lZKuNAbS8mq0BxQjDb\nCqVcmh5GWccgv3yrEa3BzP0bUrh56dxy687FZJLqyaDRm3mrqoc95XI6BwyE+duVbDflxxAVNHnn\nd7RS0DFadRQ8fn5+LiUsKxQKLBbLOLPT1atXc+rUqS8FF28BcbHAcQVGFzg6nY7GxsZxbwF/PtjM\nv490EB7oxc+vSOfqxVP7j5hMJqqrqwkICJiRVHgizHQ8pNAYeP54J6+W25VXl6SGcc/qBJYljlde\nKTQGnnyvkQ/r+0iJ8OfhzRksm0IyXVNTQ1xc3IxIiDabjYaGBoxG46RclNFFmU0QuCo7im+uSnCO\nxM7F8ePHWb58+bjfIRvU8+j+Bj5rVpEtCeTxa7JYFOO6LB31oIZXDjfwUbdAg3KYiAAvthfHcfPS\nGOTtzQD2QmMeN5j+YSO/OdDI+7W9ZEUH8MS1izAo7HEVPj4+UxY4o4veGvkQL5Z08+HZbKErsiLY\nUSydlAvmKpgsNv51tmsT5u/FI5vTuWQK1Utrv45/fdrIJ2eGMVoFlieFsKNIOmvOhqvGWae6NPzq\n7UbkgwbuWhHHvWsS8PJwo7FnmJdLvng4r0oOZXuRlFVnCaqzfZC6GlabwPMnunj6sw7cRWCyCni6\ni9iYHcm2QomTTzQTVFdXk5qaumCdgAGdmddPK9lTLkehNeLv5c6IyUq82Je/3JDl0ogNvV5PS0sL\nixcvntW/c0SA7CqTc7hFjZvIbsR4a6FkWmsBx7noKHh0Oh2BgYHOgme+hoPd3d24ubmNczK+5JJL\nqKio+NKqv1yEiwWOKzC6wDEajVRXV4+T3/1kbzX7q3tYlhTKd9YkTSnbdpjYpaenExERMed1zXY8\npNGb2VXazYsnulCNmFgsDeKeVQlsyIq0z7tPdPH0oVZsgsB31yRx18qEadUZdXV1xMTETCsj1ev1\nVFZWEh0dTUJCwrQXnl0O38We8m5GjFaWJYXyzVUJrEkNG/NvT5w4QVFRkbOQsFhtvHSyi79+cgaR\nSMR9l6dw27K5kRKnwvDwMGfOnCE3N5fjrWqePdbJ4RYVXu5wVXow39uwiISwubX1BUHgrSolv32v\niRGThe9dlsw3VyXg6e42pqidqMCprKwkMzNzwhvnuT41+bFB3L4slrXpYS7fP3WKIX79jr1rc21u\nFPdvSJmSb+FAV1cXOouIw3Ibu8rk9A6bSBT7sr1IyjW5UXPqvjk4EyqVioGBAQRBcD5gJvI8MVls\n/O3zdp4/3o00xIcnrslg6QTcD/WIidcqFOwpV9A3bCIxzJdthVKuTA+mu/3MhF3ehYZSa+BXbzdS\n2qFhQ2Y4D29KQzViZleZnLer7XyiJbH28dW6jIlHLqNRVVVFenr6gibIA3QO6PnenhraVHoAPN3s\nHedthZIJE+/ngpGREdrb2yelF8wEXQN6Xj2l4PXTdiPG2BBv7loex9WLZ3ZuCoLA8PCws/i2WCzz\nMhzs7OzEy8trjNpWEATWrFlzscBxfOhigTM1Rhc4FouF8vJyli0b61Kq1ZvZXSbjhROd9A+byJEE\n8a3V9uLB8fBwuNeqVKoZmdhNh7mMhwCMZitvnFbw7LEOOtR6ogK9EBDRO2RkbUY4D2zMIHaGjqQN\nDQ1ERERM6TbsiCNYtGjRrLObhgwWXi2379cerZG0SH/uXpnA1YvtYZQlJSXk5+fj6elJjVzLQ2/X\nU6sYYm16OA9tzkTi4ogCB0ZGRmhubnbyLPr7+/m4rJ4SbQAfNKix2AQ2ZEZw18qEWYWMygcNPPRO\nPYdbVOTHBfPEtYtIifiiUKqoqCAjIwM/P78JC5yqqioyMjKmfDMcMVp4o7KHl0u6kWmMxIb4cFux\nlOtc4Flittr41+FO/nOsE7G/F49sSmNN2uTnxrkYo6Ky2viwvt+edaYYJtDHgxvz7e7D0UFzP65m\ns3mM54m3t7dznNU1ZONX7zTR3DvCjfnR/HRd8rT7xLHOV0plVMuHCPB2Z43Ugx9szHN5RMZU+KC+\nj0cPNGP5/+ydd3xbhbn+v957b8kz3nbsxPHIZpNBIAkJgWzK6Lr39rZwfy2zQFmFjkvbezsoENok\nZDBCNoRAgBBn2I733ku2LG9bHlrn/P6QJbwt23JC7yfPX5CPZB1J9jnPed9n6ASeWh3BxlEp1r2D\nQ+urLBkNnYP4OtvyQLKE+5L8J9QTjTcRNDfOlrby/KkKBEHk+bsiifR14mBWEycKWhjQCCyQurI9\ndWINjKno7e2lsbHRJOfjVChtUfKT94tQ9KoQRHC2s2J9gh8PJEumpXHS6XQjtGQWFha4u7tPSL5H\no6amBmdn5xE3ygaCk5ubO+P39y+CGwTHHBAEAY1GLzAURXHSDiiVRsfRvGbeSdeTh1AvRx5eFsza\nWC/Kigtxd3cnPDzcLMKz2TabtylV/NeHhVyu0Ys0ne2seGR5yLScV+Xl5Xh4eIw7iRJFkcrKSrq7\nu0lMTJzVSVKtFThdKOedi/WUtyjxdbFj95IgoiwVLEhM4G8XGvjn5Xq8nGx59q5oVsf5zundi2FV\nuXDhQmPy8oIFC7Czs9MnD19p4GBWI90DWhYGuvHw8mDuiJk4o0gQRA5mNvK7zysBePz2cHakBY1x\n3Q2f2k1EcEy949YJIufK29h7RV9f4GLQ6aTOjECUyJU8e6KMckUf6xN8+cWd4dMWho7nohJFkdxG\nfR3EF2X6rqY7h9ZsiWZYsw0MDNDa1s6+zGY+KB3A2daCn98sYe2CoGn/zubJevjnpXq+KO8A4NYo\nL3akzjwl2RT0qbT8+rMqjuW3kCBx4bUNMSNqC0ZDEEUuVHbwXlYTF4da19fE+7JjnGlJTk4O8+fP\nN7tLDfQmht+creaDnGbmB7jwm3tjRmjuega1HMuXcyhLr4HxdrJlyyJ/7kuaWZrzRJkx08WnxQqe\nP1WBjZUFr9wTjbujDQezmvispBWNTmRxqDvbkiXcHOVlTPA2FaPJt62trXHaOF7g4HhJ0zcIzqgH\n3SA4k2M4wQHTnDs6QeRsiYK3LtRR2NSDmy1sTwngkZujjQLL2aKkpARfX99JpyfjweD0+t3ZSpQq\nLQ8tDSYt1J39GY18XfGtyNfQeTUZKisrcXFxGeP+Mtij3d3diYiIMNvJ3VBGuediPZeqO7C11LcK\n96l1bE2R8l93ROA6S7eFKRgcHKSgoABra2scHBzGTV7uV+s4ktPEPy7V09A5QJCHAw8uCWJTkmTE\nVKC6rY9nj5Vwtb6L5eGevHhP7ISfe25uLhERETg7OxvdfcM/25lqJvJkPey7IuNsaSsWwKo4Hx5M\nCxxjNx4PGp3A3y/U8/bFBjwcbXhubSS3RE3vd9KAiWziBsi6BjmQJeNIrhylSu8W2pkm5Y4Y72lf\nTIyv2TnAM8fLyGns4c4YL3663B9hoMdoAZ5snTUe+vv7ySyqJFfpwoc5zXQNaIkeSkk2d6dUnqyH\nJ4+W0tQ9yPeXB/PDFcHTmnJUt/VzMKuJY/lyo2No+7D1VXZ2NomJiWZPla5s7ePnH+uTlB9aEshP\nbpm4bsGggTmQ2cSFKn0+0R0x3mxPkbAw0PQy0s7OTtra2mbcH6fSCvz2bBWHs5tZIHXlt/fGjBDs\nt/epOTLUCi/vUeHvaseWpAA2LfSfNJ9oMkwVOFheXo6vr++Im1y1Ws3q1avJysqa0Wv+C+EGwTEH\nZkJwDM+rrKzkYlU7X8ptuFzbhbOdFVtTAnlwafCsO2Umm55MhFJ5Ly+cLCWnoZu0UHeeXxdDhO+3\nQr7Rzqu18XrnVewEe/DxykcNtndz2KMngqJXxRNHirhYrb9TtrKAdQn+PLxs4mM1Jzo6OsjOziY+\nP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6feq+HIl/XwzPEyajsG2JUm5T9vCUXeo+K9TL0t+nh+CynBbuxMk07oEpsJRk/VQP+9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\ngC9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SEpuujMfjoba2Fnw+f1d1RywW01VBtld30o3gBKrgWK3WDMEJgQzBiRHpQHAoisLi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\nERFZHQYcIiIisjoMOERERGR1/gWRECliKcKnEQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10ed6f5d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "fig = plt.figure(figsize=(8,8))\n",
    "\n",
    "ax = fig.add_subplot(111, projection='3d')\n",
    "ax.plot_wireframe(U, V, Z, )\n",
    "ax.scatter(bs[:, 0], bs[:, 1], bs[:,2], c='red')\n",
    "plt.xlabel('b0', fontsize=16)\n",
    "plt.ylabel('b1', fontsize=16)\n",
    "plt.xlim([0,10])\n",
    "plt.ylim([0,10])\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x10ef62910>]"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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eTVDan0yqt7kQEUjoResR1ds8iJt3dcHOnVoEFWIZSOhF85iYKPQ2LxXtrVvV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\nqQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10ef49bd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(xs, ys)\n",
    "for i, b in enumerate(bs[[0,1,2,4,8,16,32]]):\n",
    "    plt.plot(xs, b[0] + b[1]*xs, c='red', linewidth=0.2);\n",
    "plt.plot(xs, bs[-1,0] + bs[-1,1]*xs, c='red', linewidth=2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Solution from gradient descent [ 100.3065    4.3883]\n",
      "Solution from normal equations [ 100.3317    4.3413]\n",
      "Soluiton using numpy leastsq [ 100.3317    4.3413]\n"
     ]
    }
   ],
   "source": [
    "x = np.vstack([np.ones_like(xs), xs]).T\n",
    "\n",
    "print \"Solution from gradient descent\", bs[-1, :2]\n",
    "print \"Solution from normal equations\", np.dot(np.dot(np.linalg.pinv(np.dot(x.T, x)), x.T), ys)\n",
    "print \"Soluiton using numpy leastsq\", np.linalg.lstsq(x, ys)[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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  "kernelspec": {
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