dev/generated/examples.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "source": [
    "# Phase Slope Index method: Examples\n",
    "\n",
    "### Purpose\n",
    "This is a walk-through notebook on *Robustly Estimating the Flow Direction of Information in Complex Physical Systems* paper, by *Guido Nolte, Andreas Ziehe, Vadim V. Nikulin, Alois Schlögl, Nicole Krämer, Tom Brismar, and Klaus-Robert Müller*, implemented in Julia-Language (please see http://doc.ml.tu-berlin.de/causality/ and [Nolte et al. 2008](http://link.aps.org/abstract/PRL/v100/e234101)).\n",
    "\n",
    "\n",
    "### Acknowledgement\n",
    "This work was funded by the German Federal Ministry of Education and Research ([BMBF](https://www.bmbf.de/)) in the project ALICE III under grant ref. 01IS18049B.\n",
    "\n",
    "### Load packages"
   ],
   "metadata": {}
  },
  {
   "outputs": [],
   "cell_type": "code",
   "source": [
    "using PhaseSlopeIndex\n",
    "using Plots: plot, heatmap, cgrad\n",
    "using DSP: blackman"
   ],
   "metadata": {},
   "execution_count": 1
  },
  {
   "cell_type": "markdown",
   "source": [
    "### Data\n",
    "`mixed_data` contains four channels, where:\n",
    "- channels 1 and 2 are i.i.d. uniform ``[0, 1]`` noise\n",
    "- channel 3 is delayed (by 1 sample) channel 1\n",
    "- channel 4 is delayed (by 16 samples) channel 1 plus i.i.d. uniform ``[0, 0.2]`` noise"
   ],
   "metadata": {}
  },
  {
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "Plot{Plots.GRBackend() n=4}",
      "image/png": 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OPfZYtVoNoKOjQ0hg3Xzzzdddd111dfWMGTN+85vfzJ07d+/evSaTidkM2263m83mysrK5D2YHIYElgA33ojHHsOZZwqNP/MMSktx//3pnBMfFou4gJIaJ3ISp9dZriunVYQEkWGKizM9gziYOXPmG2+8YTabjUYj+/i33377+eef79mzR6lUejwevV4fDAYBqFQqJqEFwGw2Mxdqamr++9//9vb2vv/++1dfffXatWvLy8sbGxs3bdqU5oeT/VAGSwC7Xdz4dTjQ15e22QhDAutHidPnpBIhQRBxceGFFzY2Nl511VVHjx4FYLPZ/vKXv3z66ac+n8/j8Xi9XgCLFy/2+XzM+ePGjfv0008B9PT0/P3vf2cObt++3el0lpaWXn311RUVFf39/bNmzWpra/vnP//JnNDW1tba2pqBh5d9kMASwOFAf/8QxtMFlQh/fPgCvmAwWKwpJoFFEETsFBQUfPLJJ1VVVePGjauoqBgxYsSmTZsmTJhw2mmnnXbaafX19WPHjrXZbI2NjQqFAsC99977zTff1NTUzJ49+/zzz9fr9QBWrVpVX19/3HHHNTQ0zJ07d8aMGUaj8aOPPlq6dGl9ff3IkSPnzJnT0dGR6ceaFVCJUIAYBFZWVN4tFjjEvmXJwco/nD6nVqnVKXXUpoEgiLgoLi5++eWXX3rpJbPZXMyqb7755psul0smk6nV6sWLFzMH6+vrd+3aFRV4X7hw4cKFC81mc1FRkUwmYw5OnTr122+/dbvdANTC2eUfGySwBHA6xQWW0wlnxvcp8XrhckmWCEUFGJF7OL1OnVKnV+nJwSIIIgFkMlkxJz2m0Wh4T+ZNu0eluBhIWkVBJUIBcqJEaLEAoBJhWnEBmzM8BafPqS3Qagu0YgKrGzgnjXMiCIIgIiGBxUcwCJdL0sHKvMCyWgEJgUUlwiSzEbg5w1Nwep1apVbCwWoHtqdxTgRB/Pjo7Oy0Ml9DBB9UIuTD5UIwmDcOltebpun8KHAAmW4ryDhYOqVOTGD1A7Y0zokgiKznySef/PzzzwFoNJpTTjnl9ttvNxgMQ7nBW2655bzzzruBOlkLQAKLDyZdJdqGwemE2YxgEAMhv0xgtUKrFRFYPh88Hshk8HigUqVzZvmLE+jJ9BS8AyF3kT5YZsAJ+AFFGmdGEEQWs2vXrtra2ltvvbWnp+e+++47cODAK6+8kulJ5TMksPhgYuFSDpbPB5sNAt1u04LFgqoqEYFltYL5feJwkMBKEk7AAvgy+dZhHCy9UrREyDQFtANF6ZoWQRBZT3V19bRp0wCYTKbf/e53zME1a9a88cYbR44cqa+vX7BgAbO780cffWSxWDo7Oz/55JPGxsZHH320tLQUQFdX18MPP3zw4MELL7yQfcurVq16/fXXPR7P+eeff/3118tksubm5uXLl0+fPv25557T6/WPPfaYw+F48skn3W73ggULTjvttLQ/+nRDGSw+nE5otZIZLKlTUo/VKimwiopgMMBG1aJk4QCCQEZ7zIYdLGmBRc87QRB87Ny5s6amhrnc0dFxxRVXPPPMM1OnTj377LNtNhuALVu23HbbbQAee+yxjo6OO+64A0AgEDjnnHP0ev3ixYsPHTr02WefMbfwn//85/rrr7/qqqvuvPPOZ5555o9//COArq6uZ555ZuXKlQ888EBVVdVFF130+9///tZbb50zZ87Pf/5zZ+bX4acccrD4cDhQUwPRVmnMKX19qK1N27Q4WCyorsa+fSLjRUXweKhTQ/JgPhN6gcxtQxnOYIn1wSKBRRCpZ8yyMb3OTKcyObTf3a5W8HdMeOuttzZu3Njd3e1wON555x3m4FVXXWU2m1taWk466aTy8vKNGzfOnj0bwKmnnnrnnXcCuP/++y+55BIAX3/9tdVqXbx4sVwunzRp0sqVK5lbWLZs2cKFCy+44AIAzzzzzHXXXXfvvfcyQ3/96181Gk1jY+PSpUvffPPNSZMmnX766U8++eS+ffumTJmS4r9EhiGBxYfDgYoKtLQIZZeCQbjdqKrKtIMlVSK0WFBYKNkqi4iHsMDK4BRiWUVIAosgUs/mX28OIhtaTkcgpK4AnHnmmTfffPO+ffsWLlxoYZZJAU899dSLL744derU0tLS3t7ezs5O5vioUaOYC8XFxcxehM3NzWPHjpXL5QBkMtkxxxzDnNDc3HzssccylydOnHj06FGXywWgqqqKaa9VVFQEYOTIkcw5RqMxvLlhHkMCiw+HAzodjEaYzajgcSqcTqjVKC3NAoFVXo5AAF4vlEre8aIiyOUksJIHI2kyK7BiXEUIElgEkVqKNbm02TOA6urqE0888cQTT/T7/TfeeOPu3bs9Hs+iRYuOHj1aVlYGYPLkycGBXUpknDVc5eXl3d3d4X92dXWFj4cvd3R0FBUVMboq6ha4N5jfUAaLD6cTOh2Ki4UElNR4umAyVjqdUAmQGdfrSWAlj6xxsKRXEQKg550gCD6uueYauVz++uuvAwgGgyaTCcDKlSt37twpcq0ZM2YcPnx49erVAD777LPvvvuOOX7xxRcvW7bMarX6fL4nn3zy4osvTv0jyAHIweLD4YBWi5ISoU4NUuPpgi2g+DYuYEqEPh8JrOThAhSZFlixrCK0AjpysAiCGGTYsGElJSXMZYVC8cgjj7z00ks33HDDn/70p+nTp+v1+hkzZsybN49pjhU+E4BSqayvrwdQVFT0zjvv3HjjjW63+4QTTrj66quZ2t//+3//r6WlZdy4ccFgcMaMGU8//TQAtVpdOxBSlslkDQ0NTG0RwIgRI7RabfoeeYYggcVHrjhYjIASdqgYAebxkMBKHg6gKhdWEfYBI0hgEQQxyDPPPMP+5+WXX3755ZcD+O1vf3vbbbcFAgGFYrBv3m9/+9vw5dra2rBZddZZZx08eNDv97NPVqlUS5cuXbp0Kfv45MmTmb6mABQKxYEDB8Lnf/zxx0l+bFkJlQj5YBwqYQHFjDMZrUzCZKyEBZaUACPixwkMz3CvUYfXoS3QqhSqQDDgDQj06TcDw0lgEQQREzKZjC2YJBE6Oa4byXtIYPGRKw6W1RoSUMIZLBJYScYBjMiCEqFSC0DMxDIDNSSwCIIgMgYJLD5ic7Ayn8GKwcFixqkPVtJwZoHA8jq1BVoAYjEsxsEiYU0QRAx0dnZ+9913Pp8PQF9f3/bt22kX56FDAosPpk17TjhYogKLVhEmH6ZEmOUOlh9wAlXkYBEEMciDDz44jcWVV17JHL/99tvPOOOM++67z263P//881OmTLn77rsPHjwY4826XK7FixenbNY5DIXc+XA6UV4OtRpHjvCOM32yMi+wpDJW4XGBx0HETzYIrAEHS7CZuwUoBArJwSIIYpCDBw9OnTqV2QAHALOOLxAIvPDCCy0tLcOGDQPw4osvvvrqq2eeeWbsN+twOBYuXHjfffelYs45DQksPpgSYFGRiIMl6nClCymHSqqESMSPIwsE1oCDJdjM3QwYAQM5WARBRFBRUTFp0qTwP51O59VXX+12u2+++eaxY8daLJYffvjhiSeeWL58+RtvvOHxeP74xz9+8cUXRUVFt95661lnncVca+XKlW+//XZnZ+fEiROffvrpBx54AMAvfvELAIsXLw73fydIYPEhVQLMCgfL5YJMBpVKvERIIfck4wRqAAvgBzK0XMbpdeqUOoiUCElgEQTBx+HDh9esWcNcrq6uHjdu3N133/3ee+/dddddZWVlXq/3ww8/vPbaaydOnAiA6Ym1bNmy9vb2+fPnf/jhh1OmTHnppZcWL1783HPP1dXVbdq0yev1XnPNNc8//zzjYFVWVmby4WUZJLD4YASUVKNRoxE2G/x+ZGZdKmNPAeRgpRUnYAAKATNQmqEp+FglQt5m7v1AMaAngUUQqaW8HD0ZbdrCi8sFtcBuhOvXr2eatgM4++yzjz32WGbH5SlTpuh0OgBqtXr8+PFTpkxpampas2ZNV1eXUqk89thjb7311n/84x9Tpkz54x//uHTp0nPOOQfAuHHjAIwfPx7AtGnT0vLgcgkSWHzEFnKXy2EwwGIBq+FtGmHsKQA6HQb27OSeQgIryTgALVAK9GZOYHkHSoRCqwjJwSKItDCgVXKGK6644g9/+EMsZzY1NTmdTkY8MZx77rmBQODQoUMTJkxI2QTzChJYfEiVAJ1O6PUAQqdkRmCxHaz2dqFTCguh05HASh7OAYHVA4zJ0BRYDhYJLIIgUkFVVVVhYeEPP/wQ3t+GobKy8siRI8zOOQzMFs7BYPDHtpezJNSmgY9wHyzREiGQ0RgWY09BsETo8SAQgEZDDlbyCABeQD3gYGWIsIMluIowLLDoeScIgkVfX98PA4g3Ypg4cWJ9ff2DDz7o9XoBNDU1MftAX3fddQ8++GBPTw+A77//3ul0FhcX6/X69evX9/X1+f3+9DyQnIAEFh9MCZDRUC6X0DgyK7AYewqCAiuGjBYRJ05AA8iAsowKLHKwCIKInxEjRnz11VcXDnDNNddgYBvmsPlUW1urVqsBKBSKf//7383NzaNGjaqsrJw3bx4jqh566KGTTz552rRplZWV11xzjcfjkclkTMj9xBNP3LdvXwYfYLaRhBKh1+ttaWnRarU1NTVDv7WsgMlgASETq7paZDyTDpaowJIaJ+KHqQ8iixwsQYFVTgIr2fT3o7hYZNxsRlERqEhCZC1LlixZsmRJ1EG1Ws3ehjm8PTOAmpqat956i3v+4sWLozqLXn311VdffXWy55vzDNXBevnll6urq+fMmXPCCSeceOKJra2tSZlWhgmXAEtKeAUUk9FCxgWWqEMlNU7EjxPQAcikwGI2eFbJVZB0sJSADHCne4Z5y/jx4gvGrr0Wq1albTYEQWQ7QxVYjY2NW7dubWpqamlpqa+vX7hwYVKmlWGkBBRbgGVsO0Lm9zIgtNdgeFyrDeWxiKESdrBKgAw97y6fS1OgYfx8iUajIBMreQQCMJnEf051dWV6c1KCILKJoQqsM844o7a2FkBBQcGsWbNaWlqSMatMI5WxCo8bjTCb0zu3MDGUCBmBJZNBo6H9npOBI/MlwnAACyJ9sNgCi8zLpGCxwO+HTUyu9veLjxNEjtHS0tIusER9KPT19W3durWzsxOA3W7fsWPH4cOHk34v2UDSQu4+n++NN9742c9+Jnmm3+9vbm7eMkDWabJAAB5PqE2bsMDKvIMVg8AyGEKXDQaqEiaDLCgRhgNYkCwRghys5MH8kLJaRU7p7xcfJ4gMc+eddzY2NoYXD27cuHH69Oki5y9ZsuTll19O7L7Wrl07PpLvv/8ewOrVqydOnPjYY49t3ry5qalp3LhxDz744Kp4iuuvvfbad999l9is0kzS+mDdcccdCoXirrvukjzT7Xa/8sor//73v5l/XnjhhQsWLIj9jnwDJDhRKWQOh16jsdntANR6faCz08v5WWqz6QCXzRbQaApMpgKbjWelYapR9/QEGhu9NpsM0Nlsds4ku7uVWq3cZnMD0Gp13d0uvT4DZUK73Z43zVEUvQqVSuW0ORVahapL5bQ50z+HHkuPWq622WwAFH6FxWmxcZ56XZ/OpXQFbAGtVuvp9vhtcSyczqfnK4nI29p0gLO72y9sUvX3G3p7PTabJ22zcrvdcrlcqVSm7R5/nATyJWDR1dXV2dm5aNGif/zjHwBcLpe4wfHwww8rEt2oxGazmc3mr7/+Onykrq4OwD//+c8FCxbceeedAJ555pk5c+YsX748rlt+99135XL51KlTE5iV3+/nfmDyEgwGnU5nMBgUOkGn00V1COOSHIF13333rV+/fs2aNbG81XU63aOPPjp//vzE7otRVxqNJrGrS+NyQaczMObPsGFwONRhI4h1Snm5zmBAVRVsNhg4J6QDpxMVFWqDATIZHA7uHNxulJXBYFACjJWly8g0g8FgZv4+KcIAg8GA4YA5Q8+7HXq1nrnr0sJSd8DNMw0rdNU6GIAiaP1axDUopqgAACAASURBVDPNfHu+koXbDUDr90Pgj+N0wuWCx6MyGFRpm5RSqSSBlQYkv0dziBtvvPG1117btm3b8ccfzz7e39//0EMPbdy4sbq6euHChaeccgqA999/v7i4+LLLLuvt7f3d7363ZcsWpVJ51llnPf74448//vgpp5xy9tlnM1dfsGDBVVddFSV6CgoKxoyJaMf8pz/9afXq1du2bVu/fv2ZZ565fPlyt9v9i1/84q677jrllFPef//9l156qa+v75xzznnggQeYbhF79+59/PHH9+/fX15e/sADD3R1dW3ZsqWrq+ujjz46//zz4xUSCoUixs+3YDAol8v1TEvxREmCwPr973//ySeffP7558Wia5hzhnDCHYDRiF6eUlB2NRrV6eByIRiMWiAeLiGCFhImi3AGK3N9sJzeiAwWlQjTBBMFEC4BMuOUwSKynOLi4jvuuOP3v//9Bx98wD5+8cUXNzQ0/Otf//r2229/8pOfbNu2raGhYfv27czmzb///e9lMtnHH3/sdru3b98OoKamZsmSJYzA2rt37+uvv/7EE09E3ZfL5frwww/D/7zggguuueaaL7744tRTT2W2kd6/f39PT8/DDz9cWVm5YsWKhx9++JVXXqmurr733nvvueeeZcuWtbW1TZ8+/amnnlqyZElbW1swGJw9e/Yxxxxz3nnnXXTRRUajMeV/r6ExVIH17LPPPvXUU4sWLXr33XcBFBYWXnnllcmYWOYIB6wAlJSA1SAkjMuVHQKLEVDhEHuk1rZaMXx46LJeTx/9ySCcwSoB+oFABjr1On2DGSz+VYQ+wIWQa0UCK1kwGSzhd1EMGS0iHykHsm+zZ7gAgc2eAdx1111jxoz56quvwmGApqamDRs2fPjhh3q9fuTIkR988MFrr7326KOPhq9it9sZG6+uro6p9F155ZX33ntvU1PTmDFjXnjhhfnz53PLSna7/ZVXXgn/84ILLqisrDQYDOXl5Q0NDQBKSkp8Ph9z+emnn37yySdPPvlkAH/+858nTJiwbNmyl19++ac//elNN90EYPjA95lOp6uoqGCuleUM9fvBaDT+8pe/bGlpYRLru3btSsq0MgnbwRIQUHZ7FvTBCrdhAKDTcVcJhju5Q7CTAxEn4TYNBYAe4N9iO8VT8EqtIrQAhQDzyUmrCJMF42QLCyypcSJPMQHB7PtPWF0B0Ov1999//4MPPhg+0traWl1dHS6HNTY2RrW0fPTRR81m89ixY0866aQVK1YA0Gq111xzzSuvvOJ0Ov/xj3/ccMMN3DsqKyt7n4X4H/LgwYO/+93vTjjhhBNOOGHu3LkNDQ1Op/PQoUPHHHNMbM9ENjJUB+vaa6+99tprkzKVbIHtYPEJqEAAXq/4KsO0EFUCtNlQUcEeD2+lA3KwkkW4RIiBhYRpr4qzHSz+EmG4PghysJKH2QyNRsShkhoniCzipptuWrp0aXjtXlVVVVdXl9frZfJ8R44cqaqqYp9fW1u7cuVKl8v1wQcfXHvttaeffnp1dfWtt946c+bM0aNHT5w48dhjjx3ilGpqah599NG5c+eyDw4fPpzbwUEmk4lkz7OK/MnuJQ0pB4sRYIy3WlgIpxNeb3pnyMB2qMjBSg9OjsBK/xRYDpZeyVciJIGVCvr6UFsr7mCJjhNEFqFSqRYtWrRs2TLmn+PGjWtsbHz88cd9Pt+33367cuXKK664gn3+xx9/3NXVpdFopkyZIpfLmaWFY8aMOfbYYxcsWPDrX/+a9168Xu82FlbR3x+//vWvH3roof379wPo7u5mImLXXHPNihUr/vvf/wYCAZPJxGx0WFtbu2HDho6ODqczA+u444IEFodwgh38Aos9LpNlrteozSYeYqeQe/LJBoHlc+qUoR8A0g6WnkqESaKvDyNGiAio/n7xcYLIPKNGjaoe2Fr3qquumj179qRJkwDI5fL33ntv27Zt9fX1t9xyyyuvvDJ58mQAI0eOZLYY3rx584wZM+rq6i699NLly5cPGzaMuZH58+crlcpLLrmEe19Go3HEiBG/YrFz504ADQ0NFQPFlpqaGqZROYCbb775N7/5zeWXX15dXT1r1iwmbjR+/Pj333//4Ycfrq2tnTlz5qFDhwDcc889/f39F1544XPPPZfKv1YSSFofrPwh3KYdgg5WeDx8Snl5uqbHYLdDpULBwNPHJ6CiHC4SWEnAyaoJZtDBGigRFsgL5DK52+9WK1iZiyiBlRe7g2ae/n5xh4pxuJqa0jkngoiPxx9/PHxZoVCwl/iNHDky3JwyzD333MNcWLRo0aJFi7g3+MUXX1x//fVMP4UoTj311M2bN3OPP/nkk+HLv/rVr8KXZTLZzTfffPPNN0edP3v27HXr1rGP1NfXc7egzk7IweLAdbAiy73sEiIyFcNi21MQdLDYJUISWEkgysHKxOoh9lY54DWxqESYChgBJVzjYAQYZbCIHwm7du266KKLPvnkk1i6i/9oIYHFge1QqVRQqaK0CTsEj0wJLLY9BUEHi0qESYYbck87bAcLvDEsElipQMrBkhoniLyiqqrq9ttv3717N9Moi+CFBBYHKYeKO56B7QjZ9hT4Q+yUwUo+4T5YAEqBTGxDyXWw7J7IpzZKYNHznhSkHKy+PlRUoKAArgzsm0UQ6aa8vHzWrFklJSWZnkhWQwKLg5RDxS4hAigpyZCDJVoidDqhUEClEhonEiIbQu6RDhaVCNOEVIi9vx/FxTAYqEpIEEQIElgcpAQWb8g93UiVCGNwuIj4yQaBFelg8TRzJ4GVdNxuBAIYNkw85F5SAoOBqoQEQYQggcUhhhIhW4Blpk0DV0BFCiwph4tIiOzLYPE0c49aRUjf90Onrw/FxSgsFA+5M6eQwCIIgoHaNHDglgAjM1ZcB2vv3nTNLQxXQLW1RY1LheCJ+InKYGWBg8VfIgz3kiAHKykw9pROB7cbfj8UCqFTqESYr1it1r4MhG2JZGJL+68fElgcpEqA2ZLBirNESAIrCWRDmwbJVYT9VCJMNow9JZOFGsqx31oAgEAANhuKisjByk/OPffcRHaEczqh0YQ2/fD5EAgMpmIBAG43lErI5QAQCMDjAWe7ZCLJXHrppem8OxJYHKIEVHZmsKT6YFGJMCWwBVYZ0AcEB7ZVTtsU4lpFqAecGZhkvsHYU0BIQHEEltmMwkLI5eRg5ScLFy5cuHBhfNf59lvccgu++y70zxUrsGKFdfnywoHPZbcb5eU4cgQGAwAcOYJTT0UrtQXOLyiDxSFKQHEyVlICLC1ECSxOp/b8c7BsHtsf1/0xw5NgZ7CUgBpI+7ep0+vUFAz+zpUIucsBDUDrG4YI42ABQgIqLMAo5E6E+OYbnHba4D85r4wtWzBuXEhd8Y0T+QAJLA4xZLAyL7CkSoT552C9s/udxWsXZ3gS7AwWMhPDcvriadMAyrkngygHi0NYgFGJkAjxzTeYPn3wnxxpLiXAiHyABBYHqRIgdzwrGo1yBBZ7PA/2Inx166tmd0Z21WbBLhECKMuAwHJ4HeHNngFoC7QRAssHuAE96woUwxo68ThYVCIkAGD9enEBFSWwCgpQUACnM13TI9ICCSwOUiXAqDYO2dloNKqEyLx73e50TS/Z7O/Zf6DvgFKujHZr0okXQGRqMRMOlsvnYpcIDSpDRJsGC1AYmbgigTV02AJL1MEyGHL+lwyRBJqaoFCgrm7wSKS3GQxi/foIhwtkYuUjJLA4xNBolD2u08HvT7t2kQq5R40zp+Tuu/e1ba9dPelqo8ZocVsyNomo+iAyI7CiHSxlpIMVVR8ECaxkwC4B8jlU7HFL5l6hRLawbl2EPYVob7OpCRoNRoyIOEW0z9qPieZmXHyx+Cmnn54brbNJYHGIcy9CvlNSTwwZrKilTjpdbrwiuQSCgTd2vHHt5GuL1EWZrBJG1QeRoQyWV7QPFq/AIk9liEiF2Ht7B8fJwSLwzTc4/fSII5GvnLVro8dBL54wR47gv/9FMCg07vPhm2/Q1JTOOSUICSwOURkrTsg9qoSILBFYkeqJK7ByN+f+6YFPawprJg6baFQbza7MCSxH5gVWMBh0+90Rqwij+mCRg5UKYgi5UwaLGCQqYAVAr4fLhUAgPB5VHwSVCMOYzbDbceSIyDiA779P34wShgQWhyiHymiE1Rp+Y4AjwJARgSUVcuctEeaowHp166u/nPJLAEaNMcMOVlSJsCTdAsvtdyvlSrls8G0b3QeLK7BoFeHQiSeDRd+RP3b6+9HSgkmTIg7KZNBqZQM/g7kCDKTOwzBV9v37Ex3PIkhgReL3w++P6LerUECnY7/weR2stC4kDAZhtw92UAGgVAKA1xs+kDcOVq+zd/XB1ZcfdzmADDtYWVAidPqc7AAWeEuExZHXIQdr6EiVCKUcLuLHxLp1OOkkFHCaeA+8eHp6cPQoJk4UGv/RwzhUwgKKGf/hh3TNZwiQwIokKsHOEOlQcU8pLk7vfs82G7Ta0A4LYSLfnVwHK0cL/G/tfOunY35arCkGUKwp7nelf8XmAFyBlfY2DVFdRgHoVfqIVYT9P8YS4f9s/J///PCfFN6B2QyjERDMIUuNEz8m1q3jqf8BKCyU2WwA1q/HySfzbGhJ6jyExQK1WtzBUqupRJiLcBPsiBZY3FM4Ma0Uw7WnEB1iz5uQ+6vbXr1+yvXM5SJ1USZXEWZBBismB4tbIsxBYR0Xqw+u3ti2MVW3HgjAYgmVAAXW4vb2orQUIBOCgECCHYO/cdeu5akPgl48YcxmTJ4s4lAx41QizF7cfoG2Ctz6H3gcrAxnsHgFVmQJMD9KhDs6d5gcptmjZjP/pDYNPA4WhdyB5v7mo9ajqbp1iwV6fchwkOrkTjGaJPLXTX9dtmFZpmcRJ14vtmzBySfzDBkMjIPF7eEwME4vHgCAxYITTxRxqCwWNDYiEEBPTzqnlQg/UoFV9aeqiMJKGK56QrRDxdVgRmN6BRa3/ocIAcXNaCE3Bdar216dP3l+ONOd+TYNUXvdZ8LBYu+TA27I3QpEvTQK819gHeo7lEKBFVZPoL0I08r3pu8P9h3M9CziZOtWNDSECsZRGAwyu93rxdatOOkknvGhfkRvAjYP4erZg9mM449Hays8HqHxoiKMHZsDVcJ8FFg7AT6DNozL5+p39R/qO8QzlpCDle5m7lIOlsMBtTo6ZJlzAssb8L618635x88PH8l8yD0LHKxESoR5/ZVvcpisHmsKBVZYPUHawdLr4XSy1xwTidNl78pk5jIxeNcHMhQWwmbbsgWNjTyf3xh6ButtYMUQrp49WCwoL0dtLQ7yy2sm8jh2bA5UCfNRYLUCu8TGGe+qqZevTxmvg8USWNxVhkh/iTCqRwMDS0BF7aPDGc8NPtr/0THlx4wuGR0+kuE2DdwMlgZQpDXh5PRFdBkFoFPqXD5XMNyUrw8oibxOvmewmvubawpr2m3tqboDKQfL6YRMBo0GAORyaLU5GXbMQkwOUyYjAYkhIrAMBpndLjo+NIF1NAN9j1OClIBiHIaxY3NgIWE+CqxewCz2UrN5bAAO9B3gGZNysGIIwaceXgHF2s85hoxWDhBufxUmww6WiyOwkG4Ty+mNLhHKZXKlQunyu0L/tgJRT30hkNfBjkP9h04efnKvs9cb8EqfnQBsB4vvO5A9DkrSJI+ccbBMQLhWJRSwQiiDJS6whvTKaQeyPpMUExaLpMAiBytzMC8y4do9k1k50MsnsKQcrBhKiKlHSkBJOVw5QKe9c23L2kuOuYR9MOscLKRdYHEcLETl3HnbNOTO854Ah/oOjS4dPUw/rNPWmZI7YDtYfFUc9jgohpU8uh3dmXy/x86/gD8AAA4dgkyG+nr+0wwG2Gzr16fMwcobgRXOWAk4VJTByijdAAC+hBUDUyIUdLBEBZaUAEsLUiH3PCgR/mP7Py465iKDKiKon3UZLAClaf1Q4zpYYFphhXPu/ZxGo/mewWrub64vrq82VKcqhhXlYHFMhigHi7oZJYVgMNjj6Mnk+z12ugfeYiL2FACD4eBRnUKB2lr+8aG+ctrzrkQoIKDC4wcOZHveMR8FVi9QKOFg1RTWCDpYUiVC7ni6+2DFILB4+2TlkMB6ddurvzz+l1EHM9+mgdfBSuNTz+tgReTcLZwSYb63aTjUf2hU8aiawppUCSy2Q6VWIxiMWtzEdbCoRDh0+t39/qA/NxysXoD5WJISWOsOVs+YITI+BIFlBez54mCFM1aiGSy9HiUlaG1N8+TiIx8FVjcwTczBsnlsE4ZNaLO28YQ2EnKwsm0VoZQAy3Y2tG3w+r2n1UZ/VGW4TYODz8Eqy7yDNSiwfIALiGzP8WMoEY4qSZfAAs/XIDlYqaDb3l1bVJtnDtb61jrR8SFI86NAXV4ILJcLMhnUaowYAas1tO9gJOGNE7I/hpWPAqsHOFHUwfLaSzQlVYaqFnNL9JhQxmrAoeIdV6mgUKRx6ZBQxmpgBrkecmfi7TKZLOq4tkAbCAYEm8SmGiEHK422vMPr4HWwQk3dLEAhEPVny2sHKxgMtphbRhpHVhdWp2ohoZSAIgcrFXQ7umsKawrkBRFdSLKTHsAKWCw4dAiTJwueZjCs6xzDu4nOwPgQpPlRYBRQkPu/psLqSSbD6NG8MazwFxwJrExgkhBYNo9Nr9KPLhnNUyWUcqh4x5HmGJZUxiqnQ+4un2vlnpVXT7qadzSTu+XwCqyStJcIRRwsbgALgAbwAb50TC/9tNvajRqjTqlLq4MVKaC4qwjJwRo63fbuCn1Fhte1xIgJsALr1uHEE6FUCp3VJys94iibNEnwZob0ymkHqtNtqKcEZokgg4CAYjtYWd6pIR8FVg8wDTgi+KVi99j1Sv3o0tE8OXenM9TQhk1kiZDrYCHNAktIQA28O63W6DbuyB2B9d7e904cfmJtEX8QdKg5d7MZPjGt4XIJ/5WyYRWhV3QVIbfLaOiMvDWxmAAWgPQJLM5+zuGPe4FxIhG6Hd0VuooMr2uJERNgA9atw6mnipy1/lDViYY9Uf2f2TDeaLilXXy0AzXpXnOTEpglggzjxvEKrPAX4Lhx2b6QMB8FVi9QDVQCR/jH7V67QWWIw8EqKoLDAb8fAiVCZJmDldMlQt54e5ih/qK9/nq8957I+P/8Dx58UGBMaBVhmts08DlYoVWEQgIrf2NYTAALKRVYfX3iGSxq05AKcsnBYkqE4gEs4Jv9FdPVW0ROUCigUsHpTGgOYQcr1xcSsr+9+BwshwMFBSGjkEqEaccGyAEt0CBYJbR77HqVfkzpGB4HizfkLpOhsBBmMzOu1/PcZloXEgoJKKkMVvY3mD5iObKtY9vccXOFThjqL9rOTvFlJ52dOCKgy3n2IkQmQu4iqwi5SwgZDHnba/RQ/6H64noANYU17daUZbBKSwf/yRFQvb3i40Qi5IyD5QJ8gBzYtBOnnCJy4jc7Ck+XrxO/MYMh0Z/B7UBVvjhYYUO4sZEroNjjo0bh6FG4XMha8k5gmYByAMAoYYHlHSgRch0sKYcqK0qE+buK8JWtr1x+3OWaAq6QCTHUTg0mE9rFvoZNJhwV8kF4HaySzDtYepVeLIOFfHawmvubmRJhubbc6rGmZAFElIMVQ8idBNbQYRysYk1xtjdzNwFlgMaHEeMjhHYkXi++26M52S8tsBKsLx8FavLCwWILKL4SIHu8oAB1dUI7FmYFeSewelgCS6BTA+NgjS4ZfbDvYDCq4i0UYh9wqHgdLqQ/gxV/iVCjgdfL1DmzlGAw+Pr216O2x4nCqDYO6QPXZEJbm/i4oMDizWCl9xPN5XOJrSJMewbrb5v+9tj/PZaSm44NpssoAJlMVqmv7LB1JPkO3G4EAhHveamQO7VpSAo9zp5yXXkOlAiZn/QKB6bMFDlr61Y0jAoa7RJV7MTVefuAwMp1B4v97VVSArUaHR1C48j6KmHeCSzm9wTESoQ2j82gMhhUBr1K32GP/ESWcqh4Q/BIp8Dy++Fy8dQppRwsZL2J9dXhr3RK3bTqaSLnDGkVod+Pvj5hAQUMOFz8OdMs6OTu8Dp4M1hOrxMQzWCl5iv/UP+hvd17U3LTsXGw72BDSQNzubowBc3co+wp8AiodIfc33lHfPzDD3MgDCBJp61zmH5YDpQImZ/0/n4cd7LIWevWYfrpcpnbLf4bN3F1zmSw0hsJTQnsVYTgyblLjWcXeSewegcE1miJEiEAnpx7DCXCDDtYzBJBTo8oSQcLWS+wXt326g1TbhA/Z0i/aPv6EAiIC6yeHrjdMJn4xngzWLqBobTg9Dp1yujXX0QfLKEMVmoEVo+jh6eZXLrwBXzt1vZaY2jB6ZBy7hZgMd/xKHsKMbVpSKHA6urCvHniX9J33IHt21M2gXRhcpgqdLkQcu8BSgFnF8ZMFTmLScAHtVrxj+AEXzwOwAcU5UUGS8qhYq8y5BvPLvJOYHXHWiIEMKZ0TFNvU8SYVAkw8yXCyNefx+8JVTlZW+EICSydLnt/2lo91g+//3DexHnipw3pF213N2prxQWW2Cm8ndyR1l+NLp+LG1DTKwf2Ikx7BqvP1ddqydheFUcsRyoNlUp5qPPQkATWfuBPfMd5BRbrOzIQgM0W8ZM68ZxyLLS2IhBAj+C3aDCItjZ0d6dsAunC5DCV6cpywMEyARorYINxuMhZ33yD00+XLgEmWCJkAljIiwxWf3/E26mxMarVVZRhzJeDzyLyTmD1DDhYlYBzYIuoSGweW8jB4rbCiqFEmOGQe2T971cf/Oq9fe8BsZYIszYdsuqHVafVnTZMP0z8tCH9ou3pQW0tlEqhp8rng92OY47hE1hBwM3nYCGtAktiL8K0lwh7HD1HrUd9gcy0MQ03wWIY0kLCTqAH8HCO85YIWSaDxQK9HnK50HiyYRKEwgKquxtud84LLJvHJpPJ9Ep9DjhYJsDRinK1yELdw4chk2HkSARTJ7CqAeSFgxXV5ZGTc4+yD7K8FVY+Cqzygcv1/CaW3RtysPhLhLxtGLLVwep19nbaOgFAq4XHg0AgEIDDwdNoFNndqWFH544Ta06UPG2oDtawYaipETKxTCaUlmLECL5xN6ASeLukU2Dx7UU4uIow/QLL2eMP+FO1R40U4SZYDENysLqAIMDVJVwHK/JnSlSPBqR6FSHTRERYQEmN5wZMjwYMvS1LGugBXG0oV4u8xZqaMG4cAASlfuMm+OJpHxBYeelgcUqE7PHqarhc6d0LOB7yTmCFQ+4QzLkzIXck5GBlvtFopMC3eWx9rj4AkMmg0cDhsNmg00X8pA6TzRmsXV27jht2nORpQ2rTYDKhvBzDh4sILMFx3iWEDGkUWA6vg5vB0hZopTu5p+Z5NzlM9cX1mYphRTlY1YYhhNy7AADcNYhcgRWZQ+Y6XKnNYEk5WIzA4g8R5g7d9m7GzC7WFOeAg+U6glKliIN15AhqmaCglIBKMOTezioR5rqDFeVQNTbi0CH29htR4zIZxozJ3g1z8k5gsR2sBgEHy2MPCSyug5VoiTB9jUYj6392r73POXDHBgPsdqH6ILK7RLira9eEYRMkTytSFw2pRFhaiupqIYHV04OyMoFx3iWEDGm05XlLhNIOVsraNPQ5+yZXTW41ZyaGlUwHi1EsXIEV9XsZ0SXAGFYZJpW2Nuj1IgKKGc8HB0tfAcCoGVpbljTQA9gPo1wjLrBGjAAYB0tUfQ/VwSoF+oDENtvJEqIElEaDqiocPiw0DmDs2OytEuadwOoFwo69gIMVXkU4TD/MG/BGvIHt9mwPuUcuorB77IPz1+ngcEStYmWTtSF3h9dx1Hp0dMloyTOHVDIwmVBRgeHDhVphdXejokKghMi70zNDafr2e+YNuUuvIixMSSd3i9uiKdCMKR2TKQcr3ASLYaglQk1sDlbkdyB3XKOBzwevN8GJSNDaismTxR0s0fHcoNueUyXC3iZUG0TeYq2tsTpYCf4GZtq4AygAdEB2/8EkMJujf7JEVgm5P3myecvnvBNY3UDFwGW+hYSBYMDtc4dtgIaShsEqIfOhyLsd+oBDJdKmwWxOdJ/OuIgsEdq99lCJEKESIO9Ghazx1M8wfvZ07xlXPq5ALrwP6gBDCr0yJcDqaqFm7sx4IgIrLSVCb8Arg4z7VxoMufcBJTxXTFGJsMfZU6Yrqy2qzdRCwqgSYam21OVzOX0J9czoBI6LWWCxTAjuOFK6kPDIERx/vLjAEh3PDbod3eW6cgx979E0YAK692B4kYhJHBZYqcpghVcRIvdjWFFtGBDd6oorsLJ5IWHeCaweVgaLb7ccplWjbKCPVESVUEg9QdrBKiiARpOWAlykgLJ5bIMlwgGBxdujAVkssHZ3746lPoihO1iCAkpqPAsyWLwJdwB6pd7hdcAHeATqmKlp09Dj6CnTltUZ6zJSInT5XL3O3prCGvbB6sLqBBcSdgGTgE7Ocd6MlWgGCymNYR09Ku5QtbXlhcCyD5QI1UaL2xK930ZWYQLcbajUiztYoRJhqjNYyPGFhIEA7PZohyBSQHFLNNncCiu/BJYTCADhVYANwGEgEHFKuEcDQ0TOXShgBekMFtJWJYzKYLFLhAYDbDabTdDBSm2HniGwu2v3cRXSCXcAeqXe7Xcn2BfAZEJZmUjIncloVVbCZOK0chTPYKVHYPEFsMCUCD12mIEigNOAFkjVKsIeZ0+ptrTWWJuREuFh8+Haolq5LOITLPEqYRcwkc/BkmrTwCuwUtWpob8fCgUaGiQFVs6H3JlVhD5fQQAqhcrhE0w2ZHijXzfgDmJEsXgVvq0tJLAkpXeCr5xwmwbkuINls0V3PUG0g8Ut0TDj2SnC80tgsZcQAtACxUDkD1q7N5RwZ4hwsISWCCLLBNaAQ+UP+t1+92CJUKfL0RJhjEsIAchkskJVYYILCXt6YnGwCgpQVobOKDMj6wPq7wAAIABJREFUC0qEQg5WqEQolHBHygSWo6dMV1ZnrMtIiTAq4c6Q4ELCIGCKWWAxP1MGPs6FHKyUmNlMWLqiQkRAHTmC8ePB9GpJIW43PvlE/JQPP0z8Oy/kYC1ZgoceEtnv+YsvcO65Cd5FcjABRV6MGI5CwbeY3Q6XC2VlQIpKhC7AxeownNMLCbn1QUSH2LklQqMRer14A+mMkV8Ci72EkIGTc7d77OyF7hHN3EVKhAYDPB54PEIlQqRNYLEElN1jl8vkg58+UiVCVrP37CL2EiGGsnKbEVBVVejo4P3sZ8YBPg2WDSVCAQdLW6D1+D2B/oCgwErNKsI+V1+ptrRcW2732EMhsDQSlXBnSNDB6gN0QF1sGSyFAmo1nE6hcaRuIWFbG4YPR0WFkINlNkMuR2EhystTXCXcuBE3iO1q5XTioovQmqjwNjlM5bpy9PZiwwaRVEBvLzZvzugG9j2A1o7aWhEHK7yEEEhNJ3dmCWHYus7p7Qh5l2jV1cFkCv9i4D0la6uE+SWwohws8AiscBMshtGlow/2DZwhop4AGI0wm0VOSVOnBpaAsnlsw/TDbB6bP+gHQo1ExTNYWbiK0OK29Dh6RhpHxnh+gvs9e72w21FcDLUaRUW8HgCzyhDgqyKKO1hp+cnIu9MzAJlMpinQeHo9aXawmG9BmUw2omhE+k2sqIQ7Q3VhdSJdTzuBSqAqNoGFiLVeQiH3lAgsJixdXg6TifcXQjhMLazBksS2bejoEFkquWsX/P5QU64E6LJ3DdMPg9WKLVtEcu5WK+x27M3gbuMmQGlGbS0MggKrpWVgCSHjYEntRRj3K4ddH0TuO1hc9aRQYNQoNDUB8Pv522iTwEoLvRyBxcm5h9u4M9QW1XY7ukMrj8QFVkmJt7tfJkOBwFq39JcImXKnQWUICQ69XrIPVhY6WLu7dx837LioMI0IReqiRHLuTACLWdxQU8PbqUHMwcqSEiGfgwVAp9S5e9yCAku4fjEUehw9pdpSABnJufOWCBN0sJilx0WAH2D/AgkEYLXyfOKzHKq0htwZM0Slgk4HM89bIGyWpFxg7diBQEBoNS4Q2m06YYEVymBZrbBYjL4Cofc780fevDnBe0kCPQB6JR2sCIGV9D5YHZECK6cdLN4SIQZjWEz9RiYDvo4Y5+xYmC3kl8CKwcEKdxllkMvkdca65v5mQDRgBaC42NlpER3PQIlQr9SXaEpCCwkHBJaIg5WFjUZjbDEaJsGV20yCnaGmhve7gWk0CvD1GhURWIWAF3DHPaN4cfr4M1gAdEqdt88rViJMgbDudfaWacsAZCTnzutgJSiwugBmD8woE8tqhU4HhSL6fFYUWSjknpI32tGjqKkBgIoKdHWJj6c2575jBzQaoX5yAHbuFB8Xw+VzefyeQlUhbDYUFhptXqH3O7OgJ8MCy9+JESNiLRFKvTISkebtHIGVuw6WUP1lIIY1OH42sGtwPGt3JMw7gVUReYTTCitqFSHYOXdxB6u42NFlEx1Pl8CKdLBKtCWhnHsMIfcsLBHGvoSQIcFODcxGhAx8DpbLBY8n9Kflz2AJP/UoScevRhEHS6/S+/p8ggKrACgAkr3eiumDBcbBSn+JMIkOFlMiBEdg8db/EOEzZKBECEEBlaYSod+P3btxxhkiGavt23HmmQk6WIx9JZPJYLVi5kxjj13EwZo5M6MCqxtwHQk5WALP+GCXUSCo00kKLNYKithgN8FCjq8i5C0RYtChCo27AQ/wweB41vYazS+BxW7jzjBaokQIYEzpmFCnBpFVhAgJrMw7WOwSoceuV+kHV9nkZh+s2JcQMiToYIXrf+AVUFLjLmEHC2my5cUdLH+/X1BgASIZkYRh+mABqC2qTXOJ0Oqxunwuptk3myGVCAFUxiywWA4Wr8BKSYmQCbkDQiF2qfEk8cMPqKrCMceIOFQ7duDccxMVWANNsGC14swzjR19IhmsmTOxa1fK+uZL0gtYm1FbCxUg47exIwSWlPRWKKBShVdQxEa4jTtD/mWwMJixCiXcmT/hvwfHx4zB4cOZexkIk18Cq5uzirAG6I/IVUSVCMG0wmIcLJFVhACKi509jqxwsAYcKsaNi6tEmIUCK64lhEjYwYoSUJwSoYTAEllFiDT9ahTPYImtIkRKqoRMHyxkokTIu4QQgFFtDAQDNk+c9lHYwaqOFFi89T8MOlROJ4JBaKL3LkpxmwYIOlRpymDt2IHJk0W2nGppgVaLqVMTFFgmhykkna1WzJplbO02O/hXD1mtGDYMDQ3YtYt3PPV0+BDoCklsgbW64S6jQEyvjLhfPFEOVl6XCEMZLStQAzQBAy9AlQo1NWhuTt9MYyS/BBa3TYMMqAOaBw/wlghDnRrEHaySEkePM8MCy+uFzxeeJOPGDZYIpbbKycI2DSaHyel1Di8cHvtVjBpjIqsIh+hgiTQaRfocLHaHETZ6pR5mVi8cLilYSMj0wUImSoS89UGGakP8CwnDGazKyGbuQg7WQJKG175CigSW3Q63O5QjzKzA2r4dkyZhxAghARUeTyyDFd7pGVYrqquLtSX97ZwtzxAaLyzECSdg06ZE7igJHHFh2MB3qEAMK66QOxII8LXnUYlQaCfdykoEAujpCTlcNqAE+Cnw8eAp2bnlc34JLG7IHdE5d26JcLCZu7iDZTQ6+twZLhFGCnzGjYsoEUq1acg2gbW7e/fEyolxXaVIXZRgyL1s4MXBl8FiC6yKClitcLMNf5GQO9IlsAQajQLQKXWyfplEiTCpT70v4LN77Ua1EUBtUbodLN6EO0MiVUK2wIrRwbJaIS3Akkq4/gcxgcWckg4HS1hghR2ujo5EmlSFd3oOhdxHjDZ3HuY9kwm5n3ACtmyJ+16SQ1cA1arQZT6BZbXC72e9iFLkYLFD7sWAFUhoq4vMI7SKEKEqYejbzQYUAnOjY1hZ2KkhvwQW18ECR2B57FEO1qjiUS3mFn/QL72KsN8t2sYh9X2wODs965S6nC4RxptwR7JKhKIOlkyGykp0sL9rxUuE6XKwNAWcchQAQK/Syy1yCYGV1K/8PlefUW1kmmsYVAZNgabHmb7KhFCJEEB1YfzN3IVWEUoJqL4+cQEWTbeju82akKuDyNVofCF3hwNud+hHRDY4WEolSkp4FztKEOoyGgzC4YBeb2w41tLLb0mGHayM5dx7Zagb+Ergy7mzA1gAglot3G5x1RlfgM8D2CJtBTlQBKQhrJIKhDJYCAmoQQfLAJwHrB0UtdnZqSHvBBbXwYpcSMh1sDQFmgpdRau5VTrkbvZm3sGK3IhQr4yjRKjXh1Ij2UO8CXckJeReWYmeHvh8QuPgajDxEmFaVhG6fC6RDFaBtSCdAqvX2cvUBxnSbGKJlAgTcbDYqwjZJUIhB2ug34lQiVDIwfrrxr9Ofm7ymkNr4pseQ5TA4giosH2FlLZp6O+H2YxRo0QcKsbBAkQ0mBjdju5yXTnsdmg0kMuNxxzfb+fX7lYrDAZMnozvv48zGJ4srGqMHniF8K0jiQhgAZDJJH/mxudgtQOVnB1Ic7dKKFJ/aWwcdLCsgAEwAKcAq0PjkTsWZgt5JLA8gBvgaouGSIHFCbkjXCUULxGWlDgt3gxnsKJKhN7oEqHf5nS7BR+EXA6lMtPbo0YSb8IdSXGwFAqUl0dtN8guIYJbRcz6EqGEwEr2bjnhJYQMae41eqj/kJCDVVNY026NJ4PlBpwD8bWq2EqEiTpYR61Hfzb2Z9e8d83Sb5fGMUMGKYHFLiEWF8PhgMcT951Is307Jk6ETCbkUDmdaG3F2LFAwgKLWUU40DHZeNw0s8/O+2CYU9RqjBuHHTsSeDBDwwN4FWgY+FThKxGyA1ghpARUfPXlqCZYDLm7kFDKwRpcRch8h7OqhJTBSjEmoJSj5cGXwYosEYLp1NB7QNrBsgVExo1GWK0IBOKddzxEtmln2jSwS4QWmzzU6FaAbKsS7uraFXeJcOgOFniqhNIOVqZXETq8DsE+WEq9yqZKp4MVXkLIUGusTWfOvbm/OWkZrC6gYuBzg3GwwhavVJuGeEPu7bb2S4+9dP2v1v99+9+v+9/rXL54fuuwBRRfGwa2AJPJUFqKnlR8y27fHrKnwC+gdu7E+PFQKtHr7E3YwQq1cWcEVnGl2VDAu1CQyWABGaoSmgClBXUDAopPYEWVCAHpEmDcDlYN52DuNnMXcbAGSoShDBYjsC4EPg4Fzmpr0deXdZ2080hg8QawMCCwBj40bR5bVIkQTK9RSQeruNhpD4iMy+UwGGCJf31bHES+/pgVkWwHy2qTCb0+GbJKYLXb2gvkBcP0w6RPZZEEBwvSAqu6OrKTQ3ZksEQcLLVNndkSYdocrB5nj0KmKNbwr5msNsSZwQoHsACoAS0rvyLVpiHekHu7tb26sHqkceTa69e6/e4zXjsjjkiWVMg9omN46mJYO3Zg0qTQZT4BxQSwAIxeNrp4mD2BhYQhB2tAPRnVRrNGxrtQkCkRIlMCqweAafCPzpfBinpSgJj2e44jg/XjcbDGjUNTk7k/GHKwGJ9hOFAHrAMAuRyjR2ddDCuPBBbvEkIAhYAWGHCyozZ7ZmgoaQg5WOKd3EUdLqShSsgJuUd0ctfrLY4CoQAWQ1YJrHg3yWFIpE2D0wmfL2KPUM5+zkPKYKWrRCjYpkGuV/gUYjNMtsAKJZEHSGcrLJEAFhJzsNgKn10ljKFNQ1wlwjZrW01hDQCdUvf2JW/Pmzhv2gvTvmz+MqZ5sr+r9XrIZFHvZLYAQ+oElpSDxQgwh9fR7+pXFncm4GAN7vRsMIB5v8u9Qc5CQY8HwSDUaiCDDpavc9Chit3BkhJYQy0R5m4rLKE2DQD0epSUWLrdIQcrbJJEVgmzLYaVRwJLyMFCRAyLu4oQ7AyW+CpCR1BcYKV8ISE35M4uEep0FkeBpIOVPbvlJFAfBFCoKrR77YFgPLVYkwkVkV2/OdsNRgmsaAGWDRksn2Cj0WJ3sVPn5KmPh0l2o9HwTs8M6WyFJdKjAUBNYU18K/WiBFZlpMASFVBSGa0I/EF/r7OX7dfefvLtr1/0+i9W/OLZjc9KzzPKDOFUCaXGk4Hfj717MWHgRxFfr1Em4d5l7wKAoiPxCixfwGfz2Eo0JeESoUKm0BZobNs2RJ3JjktMmIDm5rT/dGx1QtYzKAhiCbkjpu0I43ggRwUEVi6WCD0eBAI8fXvDjB1rNnkjMlgALgT+NzyedwKrpaXlzjvvnDVr1umnn56UCSWOkIOFiBgW4/pEjY8pHdPU2yThYGm1TplOpxJrMJJyB0u4RBgMBlFQYFUUF+rFlEdWOVi7u3bHu4QQgFwm1yl18XXrjlJPiD+DlQ0lQuGQu9FldGhFhXOy+2CFd3pmqDPWpc3BEunRAMCgMhTIC+LwOLsGlhAysB0sqVWCQg5XQQEKCqJXk3TZu8q0ZQpZxNbRc0bPWXfDuhc2v3DTRzd5/MKhdK8X/f2Dm2mCx6FKh4O1fz+qqwedYI6DFQxi505MmoRuRzcAj/5gvALL5DCVaEvkMvlgwAowaorNrU1RCwXZAkupxHHHYevWBB7SEDjQj0JWrzyBEmEGMlg5uopQpAkWw9ixlv5AtMA6HggAe5nxvCsRWiyWwsLC8847b2u6X90cxB2sAYHFm8Eyqo1qhbrLbxEvATpUxdqg2NdYOkqEbAfLa9er9CqFSqVQ2b12ABZVeZFOTAJmlcBKrESIBHqNSgksmw0KRcSTH1/IvQhwAineCUvEwSp0Fdq0op/KKQi5szNYNYU1nbZOXyAd/Q3FS4SIt0rYFblDPLtTQwwhd14HC3xfk0wAi3vmmNIx3/7q22579+zXZ3fYOrgnAEBbG6qqIGd9XHMEVDoyWOEGDAwcgdXSAp0O5eUhB8uq2dvWFl9fmFDCHRGfdUZtsXl8PbZvZ5/JEmAAcOKJaa8SHrajmNWlglMiNJsBcDQDZbCEEAlgMTQ2mu0Fg41Gw/wstC9hFi4kHKrAmjBhwqOPPnrWWWclZTZDgrcJFgOrFZbD6+CWCMGYWAUWMQcLcCqLdEExeZLmDFb4sYRz7lZVWZFW7Hs+ewRWMBjca9qbQIkQrMcbK1ICizteXAyvl/W3Es9gyYBiIMVtZp1ewUajha5Ci07Us0l2m4ZeZy+7RKiUK8t15XHvUZMQ4g4W4s25c0uEjMByuxEI8P/ikgq5g+9rst3WXmWo4j9ZZVj5i5WzR80+5eVTvmv/jucMblg6stWV14u+PnGHKxmEE+wMHIEVHjc5THql/qjzoMEQX0euwWxfOMHOvN8nNkYJKNY4AEyblnaB1ebCMJYfySkRtrairo5zreRmsPKpRCiyhJBh7FiLWx2xipBhIIaVhwIrixApEY4KOVjegDcYDKoUKu4po0tHH1DZJBysgiJdQOy1n44SIetXW9iNC+fcLcqyQrVY95vsEVgtlpYidZHQWjBx4l5IGL/AAjum5Qf8AM+rhkXqg6UiqwgNdoNFIyqwku5gRWawkMZWWOIZLCTgYPGG3EXUk1TIHXxJm3Zre7WBx8FikMvkj5756J/n/Pm8N8/b1cVpScArsFgC6uhRVFZCoYgYT36vUa6DFelQhce77d3HVx3fYm6Jt1NDaAkhIh0stdE8diRXYGXYweryo1o5+E+Og8UTwEJMGaxYBZYP6Oer2+Spg+UcOV4e9KvVA41Gw5wBfA90oLwcCkUimwekjoL036XNZrvuuuuuu+465p833HDD0qVxtN3zDRB1XNul9Rq8PhtPkUJeJdce0Npt9n53v06ps/G9fmv1tQc0TnswGBR+ddvlBoXdZLMJfkrqdKquLthsqWjwBwDavj6PUukfmKHNbZN5ZTabrUhZdLT36CjdKLO8WCuz2mxKoVtQqdS9vQGbLcXVLBZ2u13G15hrc8vmY8qO4X0uJNEX6Dv7O22lsV5X1d6OwkIP+740GoPNZjOZmExla6uipERls0WEPCortQcOeKqr/TK7TKfR2W1iylRr1HraPP7a+Ldeixmb2wYveP9iin5Fv6pf5I+pUChUZpXTJt3uWuj5iqLb3q0Natn3WK2v3t+5f1LJJJFrDZ1gMHi4/3B5QbnIgy1Xlzf3NMf40tJ16FyFroAtlFxUGBWqNpXT5pS3tWmMRgfvjQSDBpfLZjb39hapVA6bjacGptVqu7o8Ntvg66G5p7lcLTZtAD+p/cmSM5ec+8a5/73iv/+fvTePk+Sgrzy/eVXeV92VdVf1rdbR6kZC2EYIg4wRSPIBGDwGDxjYwQbGhmU8a+8Og8deLLMe67MebLE2ZhjwMGDGFhgMAwYBAgsdqLvVkvqq+86syszKOyuv/SMiMyMi48qqrOqWPnp/6KPuiLq6MiNevPd+7zcWaKofjtlZa39/UfKxXYEAKyuZTMZqtTocjitXbENDshewz2dbX1e+pPcI79mz+cOHq5Jvw+v15hYWavWnk6eect17bzmTKS8nl2/uu/nLl758arB89Wr58GGz3vFSfCncFc5kMs5EotrXV8pkAK/dG410Vx//lvTXEYvZ3W57JiMm3UZHWV31rqzkgsEDWlXh3bKUf6qr8Uux2ZVvsZkZx+CgNZNp5rSy2azT4SAe39F+Gdjttu1tU784y4rF0+vJ5pXXJavL6t5061+vrkPYo1G711vQ/peJuvoDpDJbVk8qXLQVK5I3l+vVrsqXK6V3lKan3efO7dxxRweuw7VaLZ/P17Qdbo/HY7UaSFTXgGD5fL7PfOYz73jHO3b34QK7crXOGmxji9hQ5tcBOApRfF2+ZDXpd/p9PpWTjg8e/2dP0dvbi9pRAQWbL2SJqX64gP5+Zmfx+fS1jj0gl3P39ze+w2wp2x/q77J19Xh7ipaiz+fL2MP97rLOdxgKCX0Fzv36DltQq9VUv5+rqas3Dd6k863qoNvbvWPdaeNjUymOHetSnD846MtkBOUqm2VgAMUnHB0lkXD7fKI/aPDl+nDn3eovvw6hWCn2BHpUv41gObjt3Nb7Dvshb/QjANq/LwUShcRY75i0NmKqZyq2o/fu6AhW06sBZ6A/rNedNt4zvri9aPY72cQz7mn+4iYhhs/nY2eH7m7NT+LxeGqWbNYyNORVvcYGg1QqbulHb+1s3TRg/IJ/++m3Z2vZN/3Dm37wr3/Q1Ag3N5mYcCh6RhYXfT6fQLC2thgfl/1+x8aIx039xs0iHied9hw/LisyHh31JhJMTAh/eu45/vAP7T4fyZ3kK8df+enznx4dt2xuutp4p1ZSkWDE5/NRKNDT4/T5gB5vT6G/z7q05KvVGrJVuUw4LPsBb7mFy5e9d93VgZ/VFDJOx9He5i+lH3Ky7ycaZXISn6/5uFur1bq6u4lGldciCfr6yOXM/eLSEFE7cxQSHf3Vt4XPwA3wsvY/sFjUe8fBKgQdC75ojnyPu09+sf1F7P/d7vxN5/HjLC25X/va9r96C2q1mtVq9XpVAkXm8SKyCGPysKoUdhiBBXHsTvWU6fD0TLBiYBHice/oOVMHOUVYqpYAwe5sWIRpS8Bv13v08XiuF4twdyOEAoLONquwVC1AiUtocFw/4S5g/yd3dCxCV8a15dR1BTpa05Av52vUFKVcB9M1Op+c10+405ZFWINY+xYh4PNtr+X8frSeYFUtQqEEyxD/5sy/ef3h19/zt/fkSvWRGiOL0Oh4JyAErBTq5vBwwwLMZlleFpfkRLPRAd9AxB/x9Wy31TW6mdtUsQhdwe1Smhtv5OzZxpmKDBZw5oxqHem+IefhmCSV0pLBUhkhpKMZrFW1EUIgAEXYLx9FFzvw7+Dbu/pYI4swlSLgLnHpEumWnXivh+9D9robJNwrwSqXy7OzsysrK7VabXZ2dnHx4Ba+KhGHbu2jUzBLrpRrHSEUMO0fu9oNdj1JL4/bU9RLMh9kyF0owRL+v1GFlSIQsOndSK+fDNYuthA2EHQF9xpyR7ZuULGIsHFcLHM3Q7D2f99zoVzQCrl35boSdt2MvVpJz66hSLgLOJiuUcMAFm0RrG1wgvQftQ/iUNENWAF+f2I1r0vAlCH39cy6Vsi9FQ+85oGp8NTb//7tYt+bEYFSdDQAPT0kEqq7mHcLRQBLgBDDAuDCBY4fF6+gQlZ9LDjmCLfXNdoMuUtrGoTMpbxOVJHBAs6coaWOtAP41FOf+v7C91UOlIMclzR8qGWwVAhWBzNYa6D1gjqQ9fMq+HuIy3bTtQGjkLtIwC5flhWNCgjCy+Db113Ofa8EKx6Pv/nNb/7Yxz524sSJN7/5zb/1W7/VkW+rbZQhXd/YqopJmFWvcRcwiD/rQF8XyVWc7oLebewgi0alSxWbU4Q1X8Cq9+68TghWpVa5tHnpRN+J3X14wBk4UAUrpztCKKB7f6cIK7VKpVpx2tS9XUfKEe3SzXZ2VMFS1LgLOJiuUcOOBtoiWBvyEizABmGIGStYyfWCLgFT3iZX06smFSzAYrF85v7PpHfS7/va+2A3BMtmIxDo6OVIMUIoQNI1Kj2+kd0Y8A6MBkZrgaW2CJZY406LglXcVgwKKmoa2DcF69uz3/72bIsmE0tSczMq+Q5aerDUQ+5GNQxtLHvWUrC4doOED8G/3i+ClUoR7LZx5YqypkHAvfCV665rdK8Eq7+//0kJvvKVrxh/zH5gC8K6P80kzKlvehZgKRSmUra55JzqUQH5qtOT05vMOUgFS1ro1ZwirPr8ukrFdUKwZhOzA74Brd+FITowRYhs3aCBwmVGwdrnK5pORwNgS9mSzqReDZUXCtChTeStI4TAaOCAFCz9jgYg4o+spc0VRihGCAUILqGhghUtmVewarVaNBsd8A5ofkALHFbH37357x5fefzjP/i/iUYZlIsVRhZhyyl7hpaCVSdQ0i2FgtM3FhwrembaniJs9GDVLUDx/S4fFGy1CA8fJpHo/IrrRCFxeavlpv3MGvaUbHeCE2oyY25lRYNgmWhyN1UeplqCJeCaDBLOwLPwb3dLsIwswu1tAv0uLs5jhdY5rvvgHzkyzexsR4XbveHFksHSaRkVMCUqWFoWIbncdM45E5/R+Ry5ksOdvXYEq1DAYqFLTNBLd/40FKxU2ROo6TGP64Rg7bpiVID4RGsem5vqFmBdwYrF9pzB2m+CVdZcRAiwTd6bb0Z2WmEBd8dELEWNu4A+T192J6v3PXQC88l5Q4vQbXe77K6ErtgsItqiYFHvGtUnWD5fMlbSPS57o23mN/1Ov2pBjA78Xf5v/to3P/3k//eZO9yNN76IYJBCgaI4obbvBKtS4eJFbmgJTcoJlkDAhC0LXod3NDiadj7XHsHKqdU0CO/3Y8dYX29cYVstQouFW2/tfFlDIq9GsC5t4mrhSZIylEQCu135HYIxwbJacToVrfUaUK1xF3BN1hH+BbwTjsDarhJgOosIAYGAjfi5vKo+SzQGEdzn6O3lGiaVFHixECydEiwBUzBHdkdlT46IfH46774av6rzOfIluyejZ8TsL8FS2/Qs/H8jg5UuuQJVve/g+iFYu6sYFdCegpVO43CojC9I1g2qKljN4/p7cgTs8xVNZ08OwDY73h0DctO5bTmKGncBFotlJDCynGp/u287MGMRYt4l3NBWsIwswsRW1byCpV+CpYM+T9/XT33i91+e+8bVb8gOWCz09FjicaBaZWODoZZP30mCdekSw8MqE9Z1glWrceECN94IEptvLDi2tnPVbjfrVFZr1UQ+IXJ3iQUoPkBardxySyNm1WoRsj9bn+P5+OWty8px/Zlt/C0kQpJ0VA9gYcoCNFvmrq9gHbBFuAP/Dd4JdojALiiO0aqcVIpAxEcGPBpS/PXnEr5YCJYZBWuGbCmrKQPkctMl30xCT8HKF63u1IbOCX4/+TwtFV0dQsum58bP0rQId1z+igHBuh6WPT8Xe27XI4S0q2CpsieMM1j1ja1zAAAgAElEQVQeDw4HyaRRjbuA/VewdCxCtikHysK6JE10rmtUNeTO/ufcy9Xyanp1NKB645JhyG+uzH0PFmEyXjWfwVrPrKvuyTGDQwnLl5Ze/o5/eMdTa/IId51AbWwQDisVLjpLsFQDWMDICEtLwMICXq/4JtrMbQo2n7ChUpKDN0CikBBWSYLMAmxmLiUEqlXBYn8I1nZxu0ZNuUF8IUOo5ULvlxEsFX8QUyF2szl31Rp3AQevYP0d3AyHAdluujZgZoowAOM30FVUP+Ne+HuOHn2JYHUchgpWN1gob5b1FKxyQMciLBax2bBt691FLRYCAXEFVechv6JIA/vNkPuO01/S+w693nb2MOwb9moRtlXTsLVFt9p8aZ1g1WokEioWYvOU66CmIV8ysAjL/rKBgtW5bTmbuc1Wi5D9z7kvp5YHfANmjLZh/7CSYJXUynUl3S7N4wOmLEL924HfLxMh2kq4K7Gyckfoxk/f9+k3/O0brsQlM+h9fZbNTdQS7vXjnStzF3Y4t8Lvx24nmTx/XpSvgI3sRkPBaqvMvVnjXquRzcpW5QhTwxIClcmoCGodJ1jVWjVVTN06dKvSJVzdoa/l7ikhWOoBLFpeGRqnGF+lK7Cl9ngg4OAVrIfgvfX/n94VwZJbNK0QCdbwUSwaT5K3QoHbQy8RrI7DUMECJnEtuDSD1bncdC2ko2Dl83g8GIrd+zhIKB+yEDY9i1/UFU7kE6USlarFXbzeFaxStTQTnznWe2zXnyHgDLRhEWopWMEg5TKZzPY2LpeKAECDYJm0CPdZwdLa9AywTcVfMbYIO6dgtVqE7H/O3UxHgwClgvWFL/Ce96icV89gzc5yyy31vzQZck/Z9C1C6T1yNb26O4sQxIDVPYfv+dhdH/v5z/38RrYuovf2CgqVDsHadwUL0SWUJuBj2ZhAsPxdfrvV3jdUNEuwGpueczmczsbqn2YkQK5gtRKsyUkKBdY1VmbvAtvFbV+X73jvcSXB2qgQablkSAYJNS1Ct5udHX2bw5RFGIVu7abwA54ivASX4d76HyXLf9uAkUUoPtIMHKKq8XRtgTdy2/p11NTwIiJY+goWMIV72a0Tch+39axn1ncq6vG8XA6PB7a39Qc89jGGJSdY0q3VgkWYShHwlPUzVtdDBuvy1uWx4JhW44AZtGcRxmKyLbhSRCKsrsZi9GlU1IoxLDMKVhAysE/usH4GqwQlbF5bdufaW4T72jVquOa5AeUg4XPP8dxzKufVM1jPP8+lS+wIb32BYMXj6sKnAK83kbabJ1gb2Q3zJVhK1BPs77713b9606/+whd+QcwD1RUsrXt5nYB1AufOSRioHCMjLC+fPSshWLlYo8VjLDjm7UmYJFiyTc8StT7gDGR2MtValUOHSKWEn0pL7+isiJXIJ0Ku0JGeI5e25DftuIXxFn5nJoOF8VVYMSGhDp0AFgc+RfgQvFMy2bdri1DnkaZBsHon2NEmj/cycf466hp9EREsnZZRAVP4l/06FqHd7R0JjMwn51WP53K4PRa6uvRf+wdGsKQTkV6Ht1wtbyVKfk/l+idYz0ZbKkZ34P+C/2j2MwgWoc6WKBm0FCxEgmV0HAomCJYVgrBvIw56ClYK/HicngNTsFRrGth/i9Bkwp3WkPvVq8yqXfLrFuHMDJVKffjIpIKVcZgPua+mV3edwZKOCH70zo9u5bfObpwFUxZhZwjW1haZDGNj6kfVFCzR6YOx4Jg9tGEyg9X8QHmC3Wqxeru86Z00FgunTgk5d9UMFh0nWIVEt7v7SM8RpYKVdjDZwu8C5giWiaYGYwVrXZdgHWQGqwCfg9+Q/M006IWZ1VCrqY8tSCASrPAIOe1Rs7twXaW8Zm4Mc//xIiJYhhbhFMHVoI5FiNs9FZ7ScglFi9CIQO0jwZJfURQTkUFncHkzFfBVr3+CpQxgPQ6n4SvwPbOfwW61d9m6cmVzZqdqTbsAI4I1NGTaImR/ZXk9BWsbgrjt7gMjWKpFo1xXFqFPbhHOzLC5qfLOrIfcZ2aa/2UA1iGd1stY+XzJvFO/pkFhEe4lg9UgUBaL5b6j9z188WFoEijVjgY6SLBUl+Q0MDKSnYuurnL4sPgX0savseBYzW+2a1TWMir3/5ouYb0NS9UiBEUd6V4hiLVKghWPY+kj0qLB+0yE3OlQmbtOwp2DzWD9HdwK0vflLhSsTAaXq2EKq0JUGAIR0muaPlIX3M3bu+vv5WuNFwvBipnKYPWs9+goWLjd0+FprZx7Po/bfT0RLHlpatgdXt/K+n01fQLV1UWtpp73PTBciF4QRwgL8LvwBng//Pf6DjhzaKOpQbUES0AkwupqPK5/3NwUIftMsHQUrCSE8HZ5D6ymQbUHi3qouTNfQw27V7BmZ4lElCJWCdKi8j07y9BQ/aIcFn7jYb3Lvd+fLLj0pwg7UtMASoXqvmP3/cPFfwDo67NsbbUcb6JjBEsr4S5gePjCBY4da64Zi2ajDQVrNDBa8FxtO4PVImY0UwFnzvDkk6USlQoutbFaeR3pXpHIJ8Ku8HT39HJquZkeWV7GMaSy+laSwdIMudOhMnedGncOVsGSxtsFhMHS5jdgVOPePKXsxlFodESr4F7u5XqJYb1YCJa5kHvfRp9OBguPZ7p7WkvBEjNYRgTqwELuitLUsCu8vpULBDAMsXs81zjnLm4h/BGcgll4Ft5TH90yjTZiWJubmhmrSIS1tWhU7/gLRcHyODwHU9NQq9WShWTYrWKP+bp8Tpsznt+vfwUzNe4CIv7IemZdNJG3tykUuP12JcGKQq94Cbx6lbvvrh+3QHcZ/yG9L+DzJYoe8xmsthYRyrC5iceDp0nw7xi5I5qNziXnGgRKy40SpghNGul6kAasWjEycnbGLz3eFKJgNDi67Xy27SnCFv9PkXPX8geB4WGsVqE7ogNIFBJhd9hhdYwGRmcT9dfP4iL0qtxx6grW1hYuF16tRRUd2fd8nWSwnocZeEPL37crYhl1NDRPyUCvW29Q8B5ujjP3bDtffd/wYiFYhjUNwAR98T6fRU/BOtR9aI8KVjB4QDUN0iZ3IOwOxxIFf9Bq+Na8tk0NhXIhvhU/+idHeRP8IXyxPicfhixo9Ju0og0FS98iXFnRSTO3rWDt20VNT8GqEyzjmoZOKFjbxW2Pw+Owtu6qgP2swipWivF83KTR1mXr8jv9m/lNgJkZDh1ielppG9T9wWqVhQVe8xrJ8e4dPFN6X8DvT5Z9OgqW10s+T7UKkCwknXanXsuGDlZXich+ZKvFes+Rex6++DC9vUIGq+UUEU4nTiepdpZ2qkNfwRoZeWatV3q8KUTBWHBsvfx8qWTqmtP8wFaLsPFANT7Ozk5mNqoT1+lgDEtQsABZzn1lhXJI5Y5Tr2nQMm3rpxlbhMYZLJ0ad8ADFjiAHNJD8C5JvH17m9/+bX70Iy2CVS7zp3/K3/xNywGjGvdqlWwWv6ARDvr0CFaIxCQOtfXcB48XBcGqQgq0nyZFdLEZ2AxvapyXz+PxTIfrCta/U74+cjlTBOsgaxqkdmfIFdpK7vhDNkN56trGsJb/fvnsn5+1Rq1cgF+UHLBAP+guLJYi6DJdhbWHkPvQEOvrkAftjs8m9nPfs56ClYIAXocJi9BMPbQRVGvcG9i/nPtCcmEkMGKz6KU0pGgOEs7MMD3N9LRSwaon3JeX6e7m5EnJ8UAO57jOJy84/LWaynaABqxW3G7xjbb3jgbF39139L6HLz0sKFjxOE6npljSAZewXOb55zmp3Vo3MnI+NSEjWPKQu/kqLK2QO4oHqjNn0j9+TjWAVT/eDsF6DLQjE4KCBchiWAsrlJ208oE6wdILYGFMoEwpWOugL4kegEuYh8/Du+p//OpXOXmSL3+Zxx5TJVjnz3PHHTz4IN/4hvKQYUdDOo3Xi9UKGRgO6ldd5V7L1IW2fpL9wouCYCUgACYuvIvdi/5VjQefXA6PZyo8NZeYqz5W5QH4ofK412tMoPZRwVIQrB1ZK33YFd5KlIPdNkP2dM0swm14D0MfHPrcez/H36gR4oE2YlhBZ1DsHjSETg2DUU2D04nfz872CyCD5XF4DqamQaujQcD+5dzNJ9wFNHPuV68yPc3UlIpFOAB1AiYcFw01bwaHXl98ohIIWw3e543b5O79QdT9v9dMvebs+tktD5bt7eWFqs69vANdo5cuMTqqbXdRC4XPV264aUp8baWKKYfN0XitDvuHo9no8HDNDMHaym+JwxPyrRVIu0aBM2fSP7nSMQXrF0H75GQhGXKFgKO9R5sEayaJd0fl5ikhWFozl2Bcw2CqpkE/5M6BEKwvwctgAhIJ3vtefvu3+a//ld/8TaJRBcEqlfjjP+a1r+Xd7+azn2WjNQ1iosZdPJ6BiZ74rJ4FGPhX3B7r2G77veBFQbDM+IMAzHbP+pb1LEKPwxN2h3f+/Q7H4PnW49dUwWoNuUsyWCFXKJmq+MN2hPynNq6NgvUjuBFsPPCXD5R/TqMtarCNGJbZDFatpldoNDysr2AJpxSTL4AM1oGF3LU6GgTsXxXWXMJsAEtAM+feULAUFuFGc4RweppAAJeLqKChupJqW6CbSJR8YSO5skGw1jJru+9oUEuwu+yun5382X+c+adaILByOatPsPaqYOlUjAIwP0/Alu3JiwRK6g8Cdqu939vfPZAzqWCJBEsn5A6cOZO+sKBDsIScu6nwWRTW9NJCUouwSbDm04TVrrH1kPu+K1g1iBopWAcwSPgpeC986UucOIHLxblzvPrVDAywsSElWP/yL9xyC48+ylNP8Z73iMeVMLHpWZQXMpQne0Zu+KbOA3bfbWxaSH1nLz9bZ/CiIFhmWkYBuBq86l7UuEuJFiC/vPHLtbkaHwV5MeF1MUUoD7lLLcKwO5xK1fz+DrXYdRx/Cf8W/oKnMk9pLslpJ+feXE+mj+1tPB71mnbA7cbp3IpWtDJaQCRCOX3tCVaulNPrwQocXE1DU2ZQw/5ZhHNJsyOEAoYDwzKCNTbG6qpsgDYqI1gg4WCOLapaW0gAtiu+YNWAYDUGCVfTq8N+tTE/M9AYEbzv2H0PX3yYvr61KznVEUIBHSBY+gEsOH+eG4OLjXWDG5mNAZ+Mm44GR909ccMqrFQx1WXrEl/kOjUNwJkzmUsrOhZhXx8+n3rxWct3D+jVjjcMcRnBUt2TQ9OF1xshxJhAGW/T2QQ/6K+M2m8F6wLMVHjoXv7oj/jHf+TBB0WZU0KwMhk++EF++Zf52Mf46lfFfxN1gmVm03OdYC307+TttfktvSaGi93EW43IA8eLhWAZjhBCrVa7HLjsWFQP59anBPmtr/7W4+9+nJuUClY2e617sLSb3IGwK5xOWQIBYwvQ42mbYG3l9/xOvQy3Azwbe/aGPo01z4PtWYSmQu46/p+ASET/lEiEaubaE6xCuWCoYBlMEXZoF+G1sgjnk/PtWoRrmXoG69AhHA4iERYWmmdICNahQ4DERbRGKek9tMXTjm7i9ep3dXTGItTIS99z+J7vzH0nN9C9PFfSuZd3oMxdf4RQ6HiPRBsZq9aOtLHgmD20bqhgSfvfW6cIZQ9UkUjaEgjY9F7tZl3C8xDSU7CShWTQGQQivkhmJ7Nd3KZWI6q2J4emRbi4uCeL0HgOST/hLmBfFaxajQ9cYPtPuekEP/4xp083DwkEaozqCredYm2N8+f5pV9qHg+FyOUoKuaZjGoamhZimsuVWWBuVc8lXBvAer7dn6rzeFEQLDMlWJAv55d7li2zGnV5QpHoPxEqhL5127c4BEuyobZrr2DJcwnZHaVFmM1aAwFjBatdi7BULY386UipurfurCtwlMxOJpaNTYU15rPaUbDMWoT6/h9UIqPbaavOTpRIBHIvjAzW9WARjgXH9skiNL8nR4BoERaLxGIiR1Hk3DdEG1DIaCFVsGrr5PUMi2SSkCNrqEOIFmF6DxahBsHqdnefjpz+9mRtRXdgrQMKlrSjXQ3nznHTdLZBsKQdDQLGgmNV/6IxwZJE4w0sQkiPnvBl9J7GzpwR+t6NcBbugXnN44l8Qni1WyyWw92HL29dZmsLR4QBtcxvhyxC4x4s/RIsAfvX1DAzw6vv4dFRvvoLfPzjSn9gYCC5ln/vb7FS41O/zxe/qJzhtljUXpZGGazm8QwXche6qpa5qF7OfWMI39U2fqZ9wouCYJlTsLKlbHQwqqkG5/O43HyUS++/dGX7Cg6YgCuy49feItQtGs1nHKJFaDQD3BbBimajhXIhkd9DsiwGNejl2dizx3qPWS0ar7r9ULC2tvQ2ykGi51DAtaPTKBmJYDGzKod9rmkwzGAZThF2SMHaym+ptowKGA4Mr2fWKzW9FODuYL5lVIC473l2lrExsTJ0epqrkotuXcGanWVqSjwuEqzyMlltC0ogWF05wySNcHwt07GWUSnuO3rfw/3xlXXbPlqEm5vkcto7X6BhIS6rZ7CA0cBo3n3FjILV/MAWi1AWcofM4CHftp7peOYMTzxh8BUBzsN9uhms+hQhjZz78jKBSfU7jg/S1Gqsrmr90gBjC9C4psEw4c5+Pe996hNvzbzy5Yx8iLsD/KxKV9w/Xxi4Yf2fXS4iP81Pa7BAFZfQSMGSWoRPZ5++K+bTtwi3xwms6M2HHgxeLARLesGvVFRrXjM7mVx3jjyk1GaGczkeG6JM15u6xCqsEzKXUFyVYxRi93opl1v0z46gJYOlKBot5rr2Q8Faz6wDe2qPvAxHoXVJjgL7kcEyUrA2A1O9br1/jkgE2861V7D0MljbEMLtOKgMVk4vg+WwOno9vbJFy51AZieTLWX7PXq5KAVEBasRsALlIGEU+tncxGoVSXjzeHGBbb1feTJJyFUwqWCtpFZ2uScnnaZS0VqJeP+x+7/qWVrZcukTrD1NEZ4/r7ckBzIZVlc5cqtPX8Ha7jLuGo1lY80P1K9pgHTPhD+ml7E6fZqnnxZ7yDRRgsvwOlgHNbO3UqtkdjKCRUgjhrW0hHtEPfXrh3RrNWwL9l40qt8yKmB/nvd+f/OL5//2P3P1Z/nf1F8V/+Uh+0c9Dzz4H+K2w5rMdXcEq2ERPpV66v7EwHxKL4rg6mY7CBd1TjkIvCgIlnSKcH6eu+7iDa3NsmIzZ3WM//jrjI+3LIPMF/mrYf6A6Z56FdZxWc7dZJM7+yRi5XI4HI1tFMVK0WqxSsseQ67QTs5lJuTebgarAwTrEhwBeDb6rLgkRxVtKVgdsgi3fOO9Dr3PE4ngKJtTsMKQ2q/Z4HxZW8FKmlOwOhdy1+nBYn+6RoWOBov2nb4VQ76haDZambnSJFiKQcIY9MsIWPN4eh2bXm1YIkHYUzR5m9z9FKG2fAWMBcdGbN0L2959tAiNRggvXOD4cWyjkUbIXZVgrVcvZDIUCnpfKpaTWIQ6RaMAZAIR/9plnUHB7m56e/XLkuB5mAA/REDtBZssJAPOQENxFy1CYU+O6kXFBVVW5vUlP1Mh9w4QrH3IYBUyyU1XdXuzm2X4efVzFhY41b/CxgaTmgSrv78+rtuAiZoGkYBlyTgyrygPzeX0JMxAgJV+eFr7jH1RQZR4URCshkX4uc9x222cOaP61JYtZVl++XcX6EvT00Nc8eKLvQYfvJ4ed48FSzwf57hSwTJjEbJPBKulBEuxVDHsDpcLblHB0g25t6tgbWQ22CPBugKHobEkRwttZbDMW4T6ClZXpBe9Z/xIBGfVXNGoDXywPwZxvpTXrAJvrMox7MHa/wwW+zNI2G5HA2C32sOucGzuWRmBaihY2+AAt4xgRSKkUmSzkEjQV9Gh+8kkIW/JjNGT2ckA/i7tUgEdGDSC83POnylWrTobe/ZKsIwCWILChaRIVCZEAQLhTi1EIgZdo82OBnRX5QjHy26fp6q/0dc4534eboa/+ivGyqrREaGj4Rvf4NlnoWERLi1Br+bcuo+1K/q/NGOCJVzC9WomzITc90HBWrr8RM3CwOcH+Q3N4snFRcaHdlqrsKRQV7DM1DQUqFqqJ4ZPTDoH5gp6j+OBAPMhOKt9xu/9Hp/4hM5n6AheLATLkeZXfoWPf5z/9b/46EdbXbxymU/+Sf+VTz4wfhfvex39/fJTypD8IP+HKGpNhaeuxq9yQk3BCgZJp/UrVvaFYMn9QUUACwg6g9WCz+Or7JNFmCjsIYN1WVSwDCzCIOyYXe/QKQVr0zbQW9GjdQNhKlAxKZ3sm0uoF3JPg99EyN0JVXUrpC1obXpuYD8GCeeT820FsARE/JG11UvqFmFLRwNgsTAxwewsJJP6tbeJBGGfwf4XQYdoL4AVh3+S/FFXwQJuc78Bvx5t2esUoZGCde4cN98MfX2k04JCJd30LKDH3VOqloYiFf2mBlkGq8UiVGSw0mn80/36BMoUwboRPvIRHEuqVEAIYD34oLjaRbAIa0tLVIKaBMvP5qyRgmWkUFmtuFy6V2nDGnf2RcFanDvr3fEe/fbRZnu7HNksuRy9Iy42Nphuh2AZ1TQ0FhEW3cWbB272+3qcFvtmTvPZOBDgskeXYJnYfrh3vCgI1lKO972FYJDHH+eWW/D7KRSkhTeCbXjuCd+df/ihQ3fDXEuS6jPAIj8nOm6Hug/NJGY4CjNQT+uKPVk2Gx6P/n6vg1GwFFurrRYrRT/OlKEFaKRwKRHNRu1W+14zWEdIFBLZneyIX/fhzrSI1amahmi5u6+gJ7fYdiha1YpbVLFvo9GFcsFlV5PRylAEr4maBjojYunXNACjwdHllLntvqZhfs2zFBF/ZHVzTuxgAFmXaJ1gXb3aPE6Dg8XjDNt0XoqJBOFAxVCHyGRYS6+10dHwCPwHyR8XF/Xv1R7Labt/+UJUcy2I30+1utvNDeUyly7pLclpECyLRVjriVpNAzAaGA0PZvQXMMs+sKXJ3dfly5Vy1ZpowKfT+I+PdIBgDW+SSJC9oEoFhBr3Z57he98DCDqDvi7favQqBZ8ewZozIlgm1sEajCKZDLl3WsFaXr34rgv/6pnDz6BxFV9YYHwcy0C/omtUAXWCZWaKMEO2K3vjwI0EApO1UHP9dgv8fp51wFnQEkNeIljGKBb5yEdYzPLAR3joITFYaLEQCjUI1F//NbfdxpvexEf+8tu9g0XBGO7ulliERfhPUPt9XOINbCo8NROfwQ1DzZeIaBFyjQYJ5Zp5ZiejULAKBSwWctWkmZKVthSstcza4e7Du58irMIMHOZC9MIN/TcYxGh0ZINEgre+tfEnVQXrbW9r0S51Nj0DEC/5u3PLemnYPDs2Vlf1vusm9k3BypVy6hbhNgTAYkLBogMxrFK1lCvlGrFfVQjr5/b0ZVowl5jTbPfQRsQ3tJqPMimRvhqDhJIRwoaCJRyfuVSmWmXYpm8RBkMWw2H7dJrV9GobCfd5kI4HGEyjsVrsmait/8PFf9A5p7d3tzl3YUmOdlq7VuPCBW68ERBdwlqtFsspLUJgLDjmDht0jcrCW9msIoNltVh9Xb7GXEsmg/+WaX0Cdfo0585R1lgbAXAeLM8wOMjS91Qtwng+7quOptNcuiQuQDvcffhydpF0l+bcup/UqpFFaFwkqjtIWIN1cxmshDa92BUWtmbfe+7dn739s5onLDA2Vs9YCU9hatdDlQyWySnCDEl78pbBWwgEJir++eS81vnBIEtFcKun60BpCu0TXsgE6/nnueMOrs5g6+OXXiU7FA6TSCSTvO1t/Of/zLe+xQc+QLaU8XZ5mWpRsD4FN1Tpeor6sP50dz3nLlmYI+4i5Bpty5ErqIo9OUAqhc2dTeQThkWju8hgHe87vmsFy7pspRe8XIhe0KwYbUBnW87MDF/6UqPa0WlzWrAUys3cbK3G//yfPCfv3zdUsGJxW58nq3cLylFyYNhDLWL/LEKtmoYkhAAcVocFy05F1wLcc1NDPB8Pu8P6LHk/LMJ2FxEKiNR8qwOexoMTSFzClhKs5vGLO4TDhhZhdzdmQu7tJdznYb2pmhtmsJa2A7emFx6+9LDOObt3Cc+e5ZZbdI7PzREM1ltQRkZYXk4Wk26722lzKs4cDY5ag2uGGSzRW5QP9DQgfaZKpfCfOao/KOj3MzrK889rHI5BETae5C1vYfssV1SIWDwfr66fOHmS22/nBz8AONp79GolQdamskpVgI/tFd2WUUw15ejFtOLgMZEK7YKuzux3b2ApszK6PfmdgOYOGkHBaipUGiKWUsEqlSiVdPZdUtebStuluD1+vPc4fv/kjkeHYPn9pFJwSjvn/pKCpYlajU99ile+kne8g7/+Mh5Q1LOHw9/+ZuXGG+nr46mnxJimMEXIJCzQHaorWHl4AD6SqctTIFiELU0NTQXLiEAdgILVGnJPpXC484lCYj+mCI/37oFgXbGaGiEUoHNXW1ujUmGu+aQZdAWlTQ1bWxSLXLki/yjDDJZwXEehylNzXXsFSzODtQ31q8QBdI0aJtzZn67RheTCLizCoQxrA/KrdiPnHoV+cjlSKYaG5MevVgmH9TdjJpOEuq2GO6kEi7CNDNYclGkOXRgRrNUN+8sLsYXEvM5Uwe5z7mKCXROygNbICMvLrSOEAkYDoxX/gtkMVksAS4A0FZDJ4B/yMTDApUs6n1OvDess3AzPPMPNN3PHIFdViFoinyisHj55kjvvFF3Cw11Dy+E+wtp3Tj/5qJGC5XZTKulqa7oEy0zCXUCnEwtLpS130Zf35LV2e+ySYBnJV9RD8AvLC1VvtcvWRSAwkevSIViBAKkU3KIdwzJKfXUEL0CClcl03Xcfn/40//IvfPCDrYsISyU+uP7v3/WfJj/7WR58EGf9aSpbyvq6fLghxLijzpH+HF4Oh9JSgjUdVmlquK4swtaQezpNl6eYyCc6XjS6kd043nd81yF364zV1AihAJ27mtBtJiFQQafMJWw5DtUq29voDFkJFnbdYpUAACAASURBVOKAXZ9g4b7GBKtWq+1UdlqFAZARLFP7nvf2RKvfMiqgz9OX2ckY+5WmIZD7kEu9DgogB2p3q6F4aTUsF0IaTQwx6GNmhokJrFb58QU7wSCDcrdOgmqVTIZAb5d+FlMwgtpTsBbABY0Xm1HIfXXVMhLIvH7wZ75y6Sta5+wfwZJtKRweZmVF1sYuwVhwLOe5pJPBEvJV4kNjS0eDgJAr1Hi/ZzL4fMYxK70+92fgRnj2WU6e5O5T7NRoiXQmCon00tjJk9x1F488AnC0EooFB9F5xPBTiuv/0gDjGJZeDn7NRMJdQKdjWMuWrK3o6O3vXUguqJ4g7ghqWIAaBKunh2SSSkOpNcF1hFTewuqCI+gACAYnk5a5pOYWyWDQiGCZYHV7xwuQYHm9lbe+lUcfFbOpLQTrhz/k28kzZ//gq3fdJfv7ZjB8itESiQSk4BPwsUaLqIhh/3CykMyWslIFq76r8BoRLPmrQdEyCqTTuD3lZCHZ2SnCQrmQL+WnwlO7VrAsVywNBcuYYOmE3NfWsFikBCrgDEhz7sJxaVM38TjBIDo17YKCNaKrUOWxeK4xwSpUCk6bU92YkytYBjn3PStY8XxcvwQLsFgsw4HhDubc55JGAawPwydV/jqylln1yDvlp6ZEghUVS7AOycuoJyZYXO+qhHp0uH4qhdeLLWDqHtmegjUPp+vErlgkndY3uFdWLCN9xfuCtz18UdMlvB4UrLHgWMJxQUfB0h8hFBB0BRuDhCIHM+pr1yNg5+BklYsXOXGCV70K60IrFUjkE5vzQydP8rKXiTGsIxlnwh7QWRySs9HrlJnS6jAaJNTLYJkpwRLQWQWrUtm2uvExGtLMAJhUsGw2wmFJLsME1xEMvfXVdXfIDRAITCRq+grW9vZLBGsXsFgqb31r06Fv2ZMzM8NtkeXwjvLq2FR9phgqEI/Dn8HPwfHGiGDjK1gmQhPn1s9xDC6KOcHrSsFSbHoGUik8/vIuLULtabxoNjrgG+h2d+/eIrxq5Qgb2Y0atQHvgMHZOhbh6ionTkgJlGJyWzguU7CM/EHxlAmfXsYqh91/jQmW4Z4cAQfQNWo4Qiigs1VYxktyLsM5lb+OzG2u2uT/IHKLUNrRIMDlos9fWO6a0qm9TSQIh83eI9vY9LwFdjhWV7BWVhga0mlRB5aXGR4s312benzlcel7QYpdlrnHYuTz+mEiWUnWyAjLy6ojhMBYcCzK+XhcOtstg+wDW0qwBDQswnKZUgmPB06f1lewbrmFCxc0VnKfh+4lIhG8Xm65hcoVzin1yGQhuTrTfeONdHWJMazpWKVSClS7NYNfqSrDZu7aeylzb4tgdU7BSi5cCpZClpBlPDSuxWxMEiwULqFRHGpnh2oVt5vN2Ka/xw8QCEzESgvJhZpGZZLHw84O5XFIqF2Tq1WyWdWXWWfxAiRYCmwqFayZGaYHMq0xqabqM0VfmnIU/t/6UHRTnhLxoTs+dP8X7v/84ucJwBK12rUmWEY1DakUPn9VVLDaCrk/AbdpDpusZ9YHvANhV3iPBOvZ6LPGCXd0LcLVVe68U0qwFIOEKyu86lVygmWUcC+VyGYJT4VVdyuJyOMIXGuCpVOCpVCw9LtG9xxyN5PBotM5d+M1z7Og1lQwcGl5q5opVyX2YSTC9jbZrECwFAl3AVPdyVnrIQbqOzRbIBIsE158eyH3eZiASF3BWlrSH/cvFkmnLf3DDu9W+s6JO//p6j+pnrZLBUssYNBEOs3aGocP1/88MsLysuoIITAaHF3JLA0MaL6PZN6iFsGqv99FfxA4dYrz53XCTB4Pk5NiTagMwpKc4k/EGUibjZES31XaXuurdqdTfEa7806+/326FlcO58fSfk2jPV5iSG+JZR17JFgmM1gdvRwtXnnySKaPAOPB8YVtFYuwVCIWIxIBjwerlUxGn2A1BwlNdDQId79ELNHT1wPg93uS2aAruJZRv3RbLPh8pDNwk5qIlU7j9crCAfuDFz7BarEIZ2aYHim2EqxmMHySUJw3PA+/CMLlVW4RAu889c7v/vp3H/jhA+d7zmfOZQoFurrqv47rgGBldjKtIfdAADGD1ZZFGIPLoPEcuJ5ZH/IPdbu7k4Wk1rOCHgpYN6xM8kz0GWN/ECMF65WvVFiE0pD72hrHjuFySR6MWhWs/wckV9vNTbq7sQxH9C1CV/e1JljmFCxTIfc9Eqy83iLCBjqbczcYISzBKjyvQoZsM3O97p6NrISzWyyMjzM3RxQGVBQsYMofmymN4QC/ugBgXsHKZMiVct0uY0oKdYI1VFewlpf1szwrKwwO1ix9vcRi9x29T6usYfcEyyiAdcMNEvt9cJB4fGN7VZVgOW3OoDPYP7SjNUgo8xY1MlgNBatJwAIBIhH9nPutt/KTn7T87UUYg8vnmi1fN/t5WnnVXpvpPXJCXKjyqlfxyCOwtHSoPBnzaP6DbhbpM7NW6wWoYC0uPnOoOEyQ8dC46uPT8jJDQ3VvSVCoxmBVfeNyf7/kQm3k1gkEbDm1HCgFPGEPiBmridCEcc79lBrBOpARQl4kBEt+wZ+dZWqy1rIKh2wpKzYJTRG4xL0b8H/WjzXlqSZu6Lvhsd94bGti68/+5s++P/NEk4BdBxZh82epI5MhFLCZtAiLRcl0cxIs8AX1k4ULn91q9zg8qR0Ty5UVmKE6WsXOTHzmcM9h4/P1Q+533MHaWmOHVMgVUmSwhoY4ckSygGxrqz5EDsDfw/8OksxGPE5PD42ORHXkcYZIp82trjJJsBYXJQlPFWxuyhIYegpWCuqXJlMh9wOxCEeDo521CPUUrEUYghAoHqqjURyOSHBEuXl6eprLs2xDj7IESzzuXZ/JDYEm3RcvzkZtRm43pXJtwD1idoXivFzBMizBWmVoqFbr7SUWe+PRN35r5lvFisprdJc1DbIEu/pxsQFLgNVKf/9mYkWLf48Fx4L9aS2CJbMItTNYgoIlI2CnT6sRqCbUCZawJOfChSbBunOMeeXdMLE4fOIG8UJ5221cvMj2QnKiMrHapfm8Fc3R7dA6KIFexgr02buZllEBHX3eW964Ml4bJch4cFw15C6WYAkQCJZDc8+jzCI02pMjELDzG+fH7eM0uPX29mRoUj/nrhnDOpAAFi8GgqVqER6x6SlYU3TN8cUumnW08gxWA267+66fv+vXHL/2a198T9martQqcI1qGox2EaZShII2MyF3iwWXS7LrOgF3whfVtxQ3EiS7jGFdpnqoCmzmNpshVh34oKZGAioVtrYYHmZ0tLHtpHWKMBLh0CGJiyhVsObg38ArQfKrE49HdBWsHLgZHNRzEZsweUW7+24ee0zn+Ic/zEMPNf9oXsHa75D7Vs54ipCOWoTpnfQTq0+cGjqlecYsTMHJFpdwZobp6SHf0Gpa/sudnuaZdbopVVhZYXxc+fmm7Qsz6X7QpPvJJKGQ8T0ScHsq/Q7T/ajzLQqW7ri/eLyvj83NPk/fyf6T3537butp+6RgqViIIyPR5IqqgoXQNdq9pUOwmtcHIwVLRsBuvVV7UBC0CNg5uAmeeaZJsF4zRbZfkVbLLk+eukmkS0IM69GZoaHa2Jxd86a+miZo5qZqTv5UxzVSsJZSS8O2cQKMh9QtQjGAJaCtpgZze3LObZwbtgwjvDS8XorFicDYLpsaXiJYZiFXsOJxKhV6x72tClbTVhuidoqPlSQbBVsyWE0cZ3x1/OFf/lbFnv6pv/6pmcQMweA1KBptnSJsCbn3hrrEolGjKUFZF2kSXgHd8EOVMxsEa5cxrDrBiuViZqwl0Lirra/T24vNJiVQfqdfahGurKgRLCGDtQO/Av8eXi0jWNEofX0wMEA8rpnkyIPbgIM1ETbRnpxMcvmyfnXpj38sO54r5UxmsPZbwdrMbRpOEdJRi/ChJx+6e/ruYb+2liMQrBtk5i8gjAgOB4aVBGtqiotx+llYYGiIri7l55tidjYRBrRy7vE43d3GLg/gdJf67Kb7UeflCpZhy+gSIyOiggXcd0zdJdwNwSqVuHSJG/RCk+oES2OKEBgLjlkDa1qveqVFqHbzkypYMoKlq2CdOsWFCy1v7vNwfIflZY4cEf9m2oZlnO/9oHFKuVourR277VTzfffKn6l9b/OG3nLkMpfRwGICvxm90sS+5w4QrI4qWAv59SHHBEH6PH35Ur71WW5hgYmJ+h/aJVhGClYwyLn1c4MMigTLYsHnm3AN6hOsdBpugBkoyI+9ZBGahVzBmp3l0CHo7lYPuQukxIrlJ6TckufPlgxWEyfgeTy13kMDkbfe+NY7/uqOz2V+pE+wnE5stt3u/9JCaw9WS01DX7fTjEWIIoYlVIH/irpLKFWwdrMtp06wtnKmsjug0dQgyFPA4cMNAiUtHqzV2NhgcJDDhyUxrYaC9e9gGD5QJ0CK41YrfX2sa4S/8uAxTbAc4AF9K/WJJ6jVdD5dOs3lyzLBLF/uUAZr7yF3Ez1YdG5bTrFS/LPH/uzDr/iw3klzBgqWMgY7NcVMWnWEUMB0+dJM1A+aBKupYBkRLLu7ELbp76WTYB4mYACiUDUmWCsrRCK1BoG6/9j9D196uLGtr4FwmGxWc3xPHRcvMjFhdklOAyMj0Z2EFsEaDY6W/fNaClYsJw+5a/RgCZOSSoJ19qxOn7vPx/BwS5/7eXBe4vDh5jS6G7wlvt7UOraySbaO3HBDky696qb4I9ZXB7KhC1XN5Y/zW3j0zH/Jt6V48fyxbBG75otrGxyg13kuQWcVrFqyr2tCuNqMBlUkaplF2KjCmlQnWLJtOSYyWIEA5zbO9ZR7aLw0AoEJe+9cQlNNFBUsJxxuuTi8pGCZhTzkPjPD1JS6iKQgJbJ1hGoZLBF9YKG8itvNB2//4Hfe8Z0HZv/bm09d1RqKFtB5l1D+VKdqEfZ3u81YhCjevQLBegt8WaWtcSO7IXQr7N0iNKN8gMZdbW2NwUFASqCkU4RbW/j9OJ1ygiUsInwYHoa/BouSYIkZLHRdwrYULEw8NT7xBG63juP45JM4nbIvly+ZmiI8mJoGM79HX5fPYXPsaUE4AJ8999mbB28+NajtD6KrYE1NRfwRFYtwqahDsHpyS1gs8bhmBkskWILLozv5YXVmAxiWTtYxDxPggDDEYHVVfKjQgEiw6grWdHi619P7+MrjitMsFnp62mxqEOo3tbG4SCCgbPCtDQ/Hq1mdDFbWfUmTYGXlPVhGFmHzeDhMb2/LAgcZlCJXFIoQ+4mSIU7WeKTpfJ17PmsPbErXt9w+MH+xesS+1bXsWJZq5w1UqyzG6TIT1lT4y1X4Pfi75l9oBvzMy1d0eorQWeh2jgqJT9UY1uLibi1CE4sIPb7y4vaib8cnJViTlrBxFRZqLuFLBMss5Bah2BwoY08iFN1RMg6mYxECx7FeFI+f7D/52K9+N5wpn/nUmWdjreO/IjpPsBQZrJaQeyrFUI83WUji8ZDP61/3ZRZhAsIwBRPQEuHYyGwM+AaAsHtPFmE8HzejfICGgtWotJZYgFIFS/AHG8fFnz4WozTMe+ELiLvD5AQrFqtntEwQLFMZLEy0Jz/+OHffrcPXWo8XygVNBau+ixAzNQ2dIFhhl14zfgN7r8Kq1Cp/8sM/+d2f/l2D8wSCdQIuSbb4AVevcuiQCsGanGTTSl+ttWVURDw+NVaendXMYIlThDYbXV0UCipnNNCV8WLU/SYgBs76vMIQLFeJxWRLfFog1DjUJCH2+47ep7qXsO2ceyzGgN63rXo8PhT0Ve0Oq3rGezQwmnA8o5PBahJ3DYuwMTUslHo3YeQSKo+fbwlgCTjpZcPboKI/OVvyjcjUka61hdu6r5Y3CAwHLm+puIQbG1iDWMy8xRSPwQmowJ83/0Jz34b5hDudVLCqseiap+qv9giPc6pVWPPze8hgGdU07DhiR3qOWLIWKcEaL3mXU8tiNroFooKFGsF6ySI0i001BcvlwmpVuHSK9vNw2JyCBRzHfqV53NM98NDD1V+/6e2f+NEntD6iwwSrViOble7CFPcqSpBO0x2y2632bLWAw6F/3Ze9uxN18vEWFZdQqmC1vS0nCXlqg7V8OV+ulhWSmya0LELhZqOhYDUsxGAQt7v+1o0l+cMT/C7cVv88qhYhMDysyXhyokVodt+zYXvyE09w3306fE04LlOwdKYIJQTLeIrQu6eQe66Us2BRMHst7D3n/uXnvtzv7f+ZsZ8xOG8GpsADQzAj/fsZpqdVCJbLhXsC17aWgkUyOTVtmZnRtAhFgoVxzr3iSHpq6paZEvMwUf//CFzYoq+vdeGxFKKC5fNRqwnXuvuP3a9a6d52DMuEotB6PNbr6Stqbk0YC46tW36ysaE+PitrcjeyCJVThu0SrLP1EUKFgjVtIfJTfP/7wp+efdYSnpDzwaWlV02t2LMMjQ6pEqylJYIj5p5hFCH3KByC9WZdjuYra9V0CRYQhm316aV2sXHl6XDFYdu2iQQrqGxqqNVYXpYUtxkRrP5+YrH6k7CJDFbasnzTwE2kofGrDwS6Mvk+b99KSv3S3FQBX1KwdokUdMn2ijcvmnKXsFKrlCol6V1KFtMyUrDc85LjFgt+/9sn7//6la+3Jh4EdJhgZTJ4PNKVL6o9WH4/YVdYrMIy3zXauEP/CjwMEn07W8qWq+WAM8DuQu6X4AhY0Op3VoeWRSgQqIkJ1tcF+ihVsKR2SpODrbyfPhsflHyesIz9NAnW0JAm4+msRbiyQqnE7bfrK1h33klXV/MllCvlNGmNxCJ02937uuy5rd/j3nPuD/zwAWP5Kg7V+iOW1CXMZMhkGBwc8rdMEQLeSarrqi2jVKuk09PHHKKCpWMRYhzD2rHFXRUTw7PICdYQXEzpdzRUKkSjDA7WoKlQnR46ndnJXNpS9kK1XeauoSE1oDpWHw05BlKaN/MB70CqFO/prbVmHXcqO9mdbFMZNSoaVRIwEwTr3DlJTEtLwZoE/03iVme49FzX4JT8X215+TXH8ykrh/oOaRGs7jFz6z4Vr5xNGID3wF+oH2/CfMsoYAMfdOJOtDh3dqzia1xtxoJjikHC9XXx4VZEg2AJ782WZ3OHA5+vfgs2qmnY3marMnfL4C1kkCpY+lVYMgXrnJxoGn3FTuEFTrDU9uQ0CZbEJWxd3ic7rlHTIOIE3kX58XB4rOzt9/a3Jh4an7yTg4RKTVw95B4I1B/y2uoabShYQ3ASvtk8bSOz0djysZuQ+2WELYTtESzV4Mvqqqhg2WyMjTE3BwRdwUYSonEcOHSIK1fg4TI79/I5O9KhHi0FS0ehynWUYD3+OLffrvPp1tfJZpmclJ2iWdNQgjLUqdd+TxFu5U3VuAvYYxXWN2e+mSvlXn/49Qbnzda7gpHn3IULgcXS5+nbLmzvVOTbUhzDtfzi/DyTrRN+qRRer1kFy2jYvmDddJRNOarMQeObicBcUT/hvrZGb29d4aorVBaL5d6j97aKWG0rWEZj86rP/1F3tW+7pFXwZrFYRgIjfYPFVpdQ8AebbWEaPVg+h69QLpSrZSUBO3OGp5/WCUWEQvT1SerxzsNkimxWWZQ/CZVxcaszLFz2jx2SB62Wlk4f98SqjLhOqBKs5WX6x6GsXq0p/2HkCtUm9MFvwP+EGOi8strKYNGxdYSLq8+P2ntI0bAIFRksWUcD8hC7Rs696RKaqGlYK1+8eeDmVoKlU4XVJFgh6AXpmloT66U7ghc4wZL7g8Uim5v165J8kLDVU5Md15kiBI4TWJYfD4VIJt945I3/ePkfVT+iwwpWywOlasjd7yfsDre9jlDiMfEW+B/N06Rr1HYTcr8iEqw2RgjRCL5IFap6DCvgDEgtwgbBOnyY2E/gPVbC76NXPjMdlj3PyQiWTgbL/BQhRgTriSd42csIhSiXVX9HTzzB7bdjschSX5oW4XazZZT9Lxo1mXAXsEeL8OOPfvz3Xvl7VovRBUoIYAmQKlh1ecpqsfZ7+9czcqJU7d2Krfl8avfxZJJQaHqamRnogW2Vm6VMwdK2CEvVUskeZ8ecM74AjfvTECyVDUcIm8clBOq+YyoxrLYzWOamuhSIFeP9FekiBSVGA6OBvlQrwZL5g2hahBaLxd/lTxVTSgLW24vPJzx0aeH06XpblrAkp3yekyeVex6nYNPPwgKbm/k8iah3Ylr+u19edvgiRT+5q7dqKVijo+beZQqFKga90Av3w9+oHG9iFwSrEzGspa25Md9w44LTui1HSbCCQYpFMakyJffu65ARLCOLcLnw3I0DN5LdlYJFS5/7SxahKcgVrNlZxsbqTppcRGqVfJQhdx0FawR7kbD0nyoUIpm858g9X738VdWP6DDBalGwFJ5RrSY+9TUtQpMKVg3STY+JN8HXmi6StJxmNwSrrmC1pXyoK1gNi5CmBeh1eEuVUqlaQmERTnLfF+DtGwy1XHOdYG/+gGYJlltkREZT+YBSJFNCIFigVV3aOD401PyOCuWCy+5qPZltCTkGr8NrUDS6t5oGkzXuAvZiEf545ccLyYW33PAW41MVBEuhYAEQ8UeUTQ3F0NxSXD3hnkgQDosroa3QKyoKUiSTphSsjcyGx1vNZNqpcRe/Y4ja9C1CWYeDhGDdOX7nxc2L0WxUevIBZbCysd6uEFo5dhgLjrm6N1UVLNkDmIZFSN0lVDluVDd66hRPPw3A8zAhX5LTwDBswR138YMfPPccoUis2yf/MktLOIYcg8yfHb+8dbl1dZj4S/GbeJcpXjmb9RvZB+CTUBFTHirtE22F3OnYIOFyZnWke6JhEQ4HhmPZmHDtFSAbIRTQELG0Y1iiyKX9GxcQjRddvmKftQ8bNIYo/H7S6cnwpFZTg4xgKWJYL4XcTaGlBKsZqpAPErZKPjKCpa9gWdjqYVwqDYRCJJMvH3n5WnpN9TFdLOnvFOTXs3w577A5bJZmJCuXo6sLu719izAFHmh8pl54OXxN/JNUwdrNFOHl3SpYCoJVLhOPN9c2ixYgCCJWYRs5AXvVN4iV4OcvKhcRij+JSIAKBcrl+vvaiGChG9OSQeeKVqvx1FOcOaPzFR9/XCRY0uO5Uk7dIkxKyLFJizBr1IOqDZM17gJUm3JM4uOPfvxDr/iQ3aoX8RYhddaOwVy9TEhOsJQxrLTr0mpeEcCK5WIgylOjo0SjFIsqr0ZhQtcl0F1dBWstsxYM2EyRcloyWHGXqRp3AZKMVZet68b+G5+LPSc9ueMES/WGGMvF+ty9+gTLElhtteJlm561PjtQj12qKFy33lonUOpoKlitS3IasMIonHwD3/vehQsExxZlA7OVChsbVMLBaf7lUafH4WldMywqWH4TMazWDJZwrToFQ/A1rFZcLrUkbVsZLDqmYC2WNkcjxxoEy2axDfmHpE9QSgULiUI1CWoUSDyezdLVhUNvwVAsXjwaGZL5gzQVLGOLkBaC9ZKCZQotHQ3Ni2argtViEZrNYMFGD8NSOz4UIpm0WWyvO/Q6VZewwxmslhKs1hp34bhJi7B5vBHAakDiEjZGCNnFFGENrsBhaKsEC3BDl7yrc2ODvr5mxl/aNVrPvTYzWF+n7xF+tUytddOzgDrBanY0AD095HLqo5c5kWDpDBrKoFPTcPky4bDIFNUIVq3Gk0+KBEzK5zR7sLaVBMugpsEGXZDXO0UHbSmRI4GR9cy61gS1Dp7ffP6x5cfeeeqdps6WKlhOGAOBe0uuBcqcewrslksbXVKC9Uc/+KOhTwy9/5/en9xcJhy22RgZYX5ehWA15SsMQu5r6bXuQJdZgiW1CCOQDRhuem4elxOo1vTbbgiWiWZtBaLZaH9gSIdgjQZHS745Y4tQoweLPShYp0/XY1qNJTnKmlQApmD4p3nkkQsXcEWuht2Si+P6Oj09bNv7jnPxItOeU60uYdMiNEOwFBmsxrXoN+G/iKeovHjatQgNW2PMYcmWGZs6JR3iU7iEegRLv6nBhJiU3K7dNDZOWoVgTYYmTVmELylYu4Fqy6gAOcdpHbtrQ8GClQCDUnZR/+A3HHmDKsHaV4swW1KqcY0rTtsWYVLmMQH8EnwHtgHW0mu7z2CtgE+8/bcXcqflriZNsCNrahCqcWo1YaIKluFdWL9A0cf6bE6fYMkImMWiuW4wL6bIzcawdBSshv8nfLqWLzc7i9crNqoqMljqU4QtBMtAwWJPg4RtKZEOq6PH06MMP5nAHz/6x++/7f2atRQKSAkWkpy7wiKU7nuOwoDlanVqelD8h/jUU5/69NOffuZ9z1gt1iMXf/PBsdVqrSrGsFoIVjPhjoFFuJpe7Q07TRGsKLgl8+eDsBNiyCCD1SRY8ozVSGBkOSVjMR1XsFQzWNFstL9nTKfOZCw4lnWpdI3K9uQUCtjtWnqGoGCphOCNCFZPD8EgMzN1BUurSXUKbIeZn3/mqR36L8geJwTNcAtbP2fO4N94nYJgCXOdQ0O7VbAaDPPNcB4uqhEs4dOaC/WJ6IhFmM0u+CrjfTdhh/pqKcW2BlmNuwCTBMvEQF8uYz8zdVhVwRoJjGxkNqRmpfx4/Q9jUJK8l19SsExhCyRvAX2LUC+Dpd+DBUt++qRXqLoF+LpDr3t08dHMjvIiapZg6V0TJFDsyWn5WRrHmxah0aIrkWDJ79AAAbgTvgKwkW1OEXod3kq1Uijr1ipKUZevgK18OxYhLVVY0gQ7MD7Oxoa0qWFzE7+fri54B3wIforDh7ly1VKvaZejTrCaNe4CtAhUXuwBkYai9KAzttOQpzQ+nYKAGU8RpmQhd7MEy8wYuRq28lttKJG7WpizlFr62pWvve9l7zN1dhlWJMIPdYK1s8PaWuN6r7QIY9DHrOPotGMRePjSwx995KNf/9WvH+89/uDrHvym+93/w794+1/d7h+MzsyoJAJlj75GFuFAt0d2vFBQ70+Zy+flQwAAIABJREFUF/3BWo1EAmw1SODcpYKlSrDaq2loCX0qoFrjEM1G+wen9S3CuOO8ioKVNd6TI0BQsFQUrkgEh4NFvRebWObwDPSs4narXxwmYd7KK15x4Vyl3HdWlWDRzateRWHm5QqCtbFBdzcOhzmC1ZrBanw7XfAb8Em1Mvd25Ss6M0VYnLuSdNFfHpDeLBSDhIuLLQSrkbGagBWVYZGBAaJR44G+Wo1y3nXb1HFZwh3xLmy32hVmpfy45M83S0SslwiWKZi2CFu3I7dlEc656JHe8uufPOAM3DZ82z/P/bPifFME6/vwMngtKGtrWiC/nqluelZahCZ7sFoVLJqNo+uZdaHGXYD4yU2iHsBCsAhNZ3egRTaQBqwAm43xcWZnqV9wxYR7BX4E7wdB5Fp0tqFgoUuw2rUIdRSs2+qdp2oKlpRgSQmY3hSh5JJnPEXIXhWstn6Po4HRdnPun/jRJ9516l0hV+uLUg1LMNh8pIb6IOH8PCMjDRVESbCi0M9MaWyqfPmR+Ufe89X3fO1Xv3akR3yxnkp5f2h/7/tve/8345/8i//1zWxPVjHTal7BWkuvDfX4ZffIP/kT3vY2lVPnRYL17W9z6hSF5U1sUbacOj+6VsgdNYLV00MiobOvrwW7Dbn3jR7VJ1hrlqfW1pSNCpu5TVnLqDa3C7lC6hksjNuwTp/m8qNQhPg5dX8QmII5Ere/LpO1ZF3PyzJYgv+3Cb3ceSerzxxRECzRH8QcwXK5KJebGyI35X1D74XP0+9ueXHtjmDt2SJcnnl6uOSypqwygiWxCJNJajXl6qSmguWAIWhhv/39dQVL98UWTeRq9vyxPnUFC9BqavD55IMCDZewXGZnR9+z6hRe4ARLQvyrVWTFNvIerFZbrS2LcNGGOwWNm5eEQKm6hKYyWJ+DP4I3ws/A70s+eStaLELVEix2YRG2ZrCAe+FHsCXrwaJdl1BCsNoLudOiYCksQpouYdAZTBVTIgFbgn5wgtDksOrpGMFq1yJMqAXJSyXOn+fWW8U/mlCwZBksVQWrNYOlP0XInpoa2psGbV/B2spvff785z9w+wfMfoDCH6SuYMk72od8QwqCtROiZOlaj33nbV9+25fe9CXZrsNEwtLd/fab3/7JX/twITb8oXMfmr84L50Xa3Y0YKxgDfcEZffIhQW+8pVGlWUT8yLBWlhgYYEHP1HCk0R7okLYFS5TsCQKVSvBstvx+1uXh2mgUMBqxalH71pFh0qtkigkeiZO6BAsr8PrcuH1VRV+pWzTs0YJloCgM5gsJNU52OnThnWjmR9pVIw2MAmzPDP42hvslxLFuCyD1VCwern9dlZng8+vyn7SpaU65TUzRYjcJZRahMAIvJp7tztBsDphES4tXhi1hBR6uVTBUglgId+GM6WSczeZwXp89qLDk7db7aoZLECrqcFqxeuVvEEbBEugdBZz4717wwufYNVflysrhMMSmtTagyUnJcEg2SxlYb2xfpM7ZPJkh6DxxCIhWPcevfdrl7+mGNk1VrAK8GX4V/ABOA+LcBQ+q3GyYhFhy0Rk43onWoSynisVNBUuVYLlhZ+DL8tC7uyCYB0V/7e9kDtqBEux9VZahVXYFhcRzjQ7Jw8d4upmyDDk3ie9qKlagDUotmkRdkEPtAZRnnmGycnmo3eLglWpcPZs00J0u3E6xZewpoIlFyA9Dk++ZJRg30NTQ1s9WLTfNfrgYw++6YY3Rfymp6Qkv3ERh2AFLi5ICZZSwVpny8FIf+L1hb/+89f/+SvHXyn7DHWF6qajPk/m5O/c/zvJ+eSdn7nz/MZ54Xg8TneDZGpujANYS6+N9oVl98jFRX791/nt31aqSfMiwVpc5B3v4BOf6c37y2i/2DY38XolmntfX7PUUY1g0ZZLaKKDsVV02MpthVwh+8gYq6s6nZ9jwbHWrlHZpmddBSvoCibz6WJR7WptQsFyPq+xJKeBKZjlQunoDeWfFMtFn0NymRU8sBj04nRy5gyL58ek0Z+lpbpHZtKFb7x4CrAj4y4Av8n9y2QUn2cV86vDRXRCwVrcuDzqHlA8zkkVLFMEqyWGZZJgPTV31esrA7I9OUgULN2mBhWCdVAto7wYCFb9gq/cLGY0RWixEAjUaZARwcrlyE9AY/ZZQqCmwlNBV/CpNVmcKhRie1t34fJX4TQITzyD8Fn4PDwAb1SbaFVMEbZsem6G3NudIlS1CIG3UPnvFZvFJv1CojxmEpeaClYbm54FtIbcNQiWQCjF4zNNPePwYa6kBgwVLOMMVh6cCF3wZi1C4JC8NViA1B9U+3IXLjA6KnvjN07Jl/KaPViSS5PNYnPYHPmyLsfag4JlftOzgLYswvRO+i+f/MsPv+LDbXxD0o4GAXY4BE9mpNeCHndPtpRtxgdjzBZyC6En/+Dq6C8e/0Xl56wTrKkp5uY4fOLILdzythvf9tr/9trf+ebvVGtV8wrWemZ9or9HRrCWlvjwh/n/2XvPKMnO8mp0n8o5dXWoDtV5ck9PUhjNSBolSyjAlT9ZQiBkm/Vhg+2LvcD+DHiZBR/w2SBYtjDca8D4GiMQSFiATbAJ0kiaoEmanjzTPd3T3dXdlXOO5/44p058z6nqnh6M1mL/mqm3qrrCqffss5/97MdsxvPPi+46zxKsQAB33ol37br8anVYhWCJ6oMAXC4Ui6iwafVdlq5MOSOxS67C596GPUXuS2YbWUwm2O0qf8nv9Ns70xKCJZ30rOzBchgd8VTZZiOpD7t24eRJwmOa6O7GBI1Yr6qC5QK0mDulGRnPOTVmSvhnGIWqaUq564DGsvK2ueSccJ0vEbapYDEHT1Q6jwQADqChhV3yhtamYF1/iTAdGHD6JbuN3+lfyiwxw+IUCZYwzF12XjObodMhGy2pH2/nAwGXiwKw2hIhJD73zcAykPvVtRDiLU+wEjzBEjnc0drkDk7kommUy81kGzKKRVTHgEvN/4sVKnmVUKeDyaRqNH8OeEp8yx3AaeBe4FbgE4Bwe5SUCJVjGniT+/V4sAA8CGqKmqiLrvNWoWBVgQBLd8r1crleZgYatgu5yV1CsJolQqaLkDXBC6amjI/jaqmf7lhNiZBIoIr8IJpVzHtWIlhc/Q+Aw4FGQ3iISNYhELmKtbZKhGg/Cmv1aNCNVCm1qhLhqqKwvnrqq/eM3DPqJo5fVoC8RAhgG3BJC0GKKEVRPbYeLrWoGqw+d+W1mzbYf/8w6YNqEigm5z1MAWG8f8/7L/zRhR9e+eFUaEpKsBR+5A26ES1Eh7q8IgLGjMP9/Ofx0Y+KfqHzPMEaGMAndv37KylfUhRlJYKUYFEUPB7E49z7lVZFVxXm3kZXl5yD8Z2AfX3qNiyjJypcr9P1VCnFX4C18mDFUxUyAfP70WioXwPt1uMs3cD0NDZvVrzTCNJT6L9V5y6LT45LS+gbQJqV/A8cAK4dENqw+C+lfQWLOXhiJIIFHN2B8Z+Jb1ptyijWx+QeKIUHusYku41JZ3KZXOF8GMSUUXAeKwCqYe4rdfXj7fLyitdtAGQEy25HPo9Go90wdy2wGTj7q3O4461NsJjzRPP8J1WwGBGpKcXLYxrA2bSKRRiN6hXZQgH1jasgWLK7iJEAXgceld2uB/4UOA3MARPAfzZvFx8Q8vey9pgGYokQgBHRe6NPXBJFaa+CYM0BfawdatUthGhDweI8WCZnupxmCZhAwbLbYUMuWCPN2W3Oe27Lg9V0uAOwWGA0ttccOkraTbgIUQ7i6FIiwWJekeKw57URrDUpWKlSym6wtxX+2UT7Hqxqo/rFY1/8i9v+YnWviUiwtgKLdskYZ65KWKwVz58/X6b877rv9maWqBgCE/voKK5GgSpQgNfivXfk3sOBw22a3CP5iNvkdjt1/HoyyZqh9u7FTTfhH/6BvZ3mQ7AYguWOzdx60+LMa4rvW9RCyGAdo7BanX6KRWg0MBhEN/IEq79f5UJkwDFA2UVZo4liwmly8sdVKw9WMl1TXN+5U61KWEV/Ea/PJNHXB6v0YpvHCOoz8N5r96QF8yvrdUSjMPrgZGOZb70VhZWhc4F57i6rM7lDcPBIDFhNXNgN3wwwL7hpDQqWEyi0MRtRFQt0yu+f4AYRcuB+4GQFq6MDmQxr5FdJaohQKscbTdPXgom+ThsAaRehRgOLBblcuwQLzSrhbxSstqASggVAp4PFwgn48hIhOAWrlcMdQLEIbCGXCAHsG9h3LXVNcsmoRrCeBx4Ul5OF6AX+Ffgi8CfAE0BZWiIsVAtKJnebwVapVyoWY7sESx7T0MTMvTP3n7xfeMsqughnRPXBVckegFjBqtWQTEqLfX4/IhEUi0xMA2uCF55uS6UxanYmSLrUbY4jXC3BUroLAePNuEsOhQKuXZMWJsSuruPHRSVE4briqJyM1Lph1d+ocYRr+B67LF3ZSrZFyRIA8I2pb2zt3LrLt6vlPUWYk5UIAWylkeqXjHFmorBqjdrjLz7eVegCtoyOa9Dfj4UF6cMFCtXICNikhjAA7BvYd3jxcJslwlAu5LP7dDpotc38Wv4MDDzzDD7/efb6PgJY2TPH0hL6+oDl5Yd/J2VK4PXXye+7JcG6riisNU165sNC+/vVs0Yr1jnhevtzcsB4sDJ1xXWZDatUKz363eaF7GWUunHszapifZD5+16MaYAdblemwomCWFlBZyfSOi4VyGjE0JbYoUO8C2TVBItTsMQnMg4GF6a2AV8V3BQCegj3VAMFuFSHd7VEtbpkLA8MTUomnwIYdA4yzIZMsCgKHR2s9W9UeVpOTKNCd+bT86Z6V6eHpGCBJVC99t5EMUGMEHI4xEkNDMH6jYLVFmQESzL7QthImKvk5CVC1qbVKqMBQKEA3WZgvnkpYLOhWuUuf3Ua3f2j9/945sfCh6gRLHl9UI63AeeBi8ApaYmQGNPArbtMrpSRvl4FCzg7cbYv3AfBCWgVCpawhbAYF8U0twPmlMbsXaEQurr4GHcGzaQGp8mZKWdYhUtQIkQ0Om4KXJXX6aBcImRqdpLzpYxgtVUllJcIT53Ctm3Sq34BXysWMTOD7dtF65zCtZ4K1lpN7qsNwQJAURTRcC1Bg248c+SZj+z/yOpeUAqoki79vWFgq0Si6LX3LmeX//BHfwigr9h3ehljYxyBEkOsYM3N8XrqPv++1xdfb1PBWsmuMG59/i5CgjUygne9C5/5DMDXB+NxmEyw2YClJf2ka8yKP/9zso9TWiLEumaNrimjQVQiVM0azZouCQlWJB9pZ9IzA6fRmck22idYs8nZH1z+AUvxz0K7E6em7YoOdwDAog47nEhU0h5bJw4dYm8VG7AY3Lq/fOEE+/96HbEYGxG8CoKl4sEC7Ha8vAn4Z4FdZLVzchhcpw1raWnBTfk9w/LLuUHXoJqCBYHPvQNoEHhedzfCSYPK8TYVmurRb2TXs2SCpaE0A44ByfBpwbrg/xzB+o2C1RpiZZVAsASNhIVqgahgsSXCNhQssxPwC06c4hQzeZVQManhKnANuFf9DwIATMBeYIpgcpeQReGW5za7k4b69ROsUDk0fec0NzYHgNvU9jhCAcFKlFavYBkBC6szETIaGIyP4+pVp9GZLmWjUfQwmUfc34nFxhyRmRnC47i+5XhcZoKXK1QFvgZNXCeDIVjCU6NcnoKokfD0aWzZIm2N5/5cuVYmK1gyC53VYG0xLce6Rg/WWpRIYMDR2ob10qWXvBavtJuvJeZkLYQMKlcAr+QM57P5/ub1v5mOT7/w2y8gBaZMBDasXYByGY0Gd7nFErAmwRp1jzboRiReaUfBCubYKQj8XYQEC8AnPoEXXsD0NGfV59eXlzHZbclBr8F3vkN4cgLBWkcFa00EK1aIsVELqgqWPGuUfyAD9RKhyZnLUooETEawGBM6m+M/BcteULXqcu9NxEczuFjEmBapUsrVPcgHajDmOTETevi3bMHzbKc0o3DpmDpnmyIxp2BFySVCmw3XdMBO4AUAQAGoKFhm1XF9NqzM3KWGhnKZXPLLOUbBKpWQTqO7m/RgYSPhsEIjYdqkQnfOhc95NEPs8aagYEG5kVBKsCaBC0CClJN7Y/AWJ1jNK+pUCvW67Hwp4DjXr2CZzcBmxSrhA2MPHJw/KKyGKCpY3wTeBbRpZZkEzrQ2uQsJmMvkSulbECydDhSFSkXZ5A6EcqHgQ0EhwfKYPe12EYpbCFftwYIgQVtuwGIwPo6ZGYfREY9pnE7oF8Wn21hs3JtUUbCyWWi1sq9dTqDWViJ0AFaxjUxusILIg6VCwMr1slajFc725iH7+m6cB2u1KaMM/E6/SiNhg25MhaY+/dqn/3LfX676BRENWACuzcIdhtghPuwe7rZ1/8eT/2FOmmt29A9CqwVGRpi4Wh4ieQryaTn7/fsjsWo7swiD2aDP5oOSggXA7caHPoSPflTicEcqBa0Wbjvc+PxH8LGPESZkro1gtRvTsFYFq50SYa+9N6k/J1yP5qOrKBEanfmcRnF9ZAT5PH9GbxIs1rxxFpjETu3ZU/UdSs8P4EQMviISxYR7cCMOHmRvZb4bsYL1yN2dteCmYDwHyXe72hKhgsmdpeZ/DDwLYE0GLAbXp2AFrk356zaAoJczUViLi+jvV/Awt5PUkLOqHG9nwmcc9ABLwHIyX02rRkIpwbICA8C88TcEqw0IDneCfAVRI6E8OwocwWo1J6fRQKUCkwnYouhz95g9O3p2vHLtFZDXm6CBbwHvafnempgEpmiUSsKSBzFolNt03CZ3UlNRJ1jgft3KBCucDzdubyDMv+U1lwhXW1oCgJ6mDSsUairvYoyPY2bGaXKmomafTxaJFI+P+3JkBcsA6JEIkEZlEBWsNRAsyKqEwiE5pKcjrjMeLMVJzxWgLnp5aCdrVEiwvvxlrrefiJde4k1Kq00ZZSBvJKw1aseXj3/h6Bfe/vzbvZ/zvvuld98zcs8jGx5Z7TMrEqzZWfSncUF02+NbHj/xvhMukwsRFDkH/NiYVMESGayaBEvgCLxt4LZMhuKvt61WlErEiPRgLuiz+yBUsOS06IMfxJtv4liIcbiz65zByodb/dixA1/6kvTJCRcdrQjWKroIiXNwBFCKcedN7soES0tpezx2vaHBdXi3P+kZgFVvrZaMFqtCJj1FYccOTPFDfVkFi2kgPQOMF3dVj70ZUiuzvboAWwrpQto9tBmzs+wlOvOliJmQyURZhy5977+CkHy362RyZ0flPARkgeNraiFkcH0K1mLw8oCuAyARLOfgYnpRsT4IwbQckG1Y3d0IF+xqBCt0xlTvaqlgKfncpQQLwA5g3vUbgtUGVEKwGIgVLLUuQtUSYakEkwkUBWxWJFiQVQnJBOsIYAR2ym5XwiRwHrA5hRcI8vciVLjcZndSU25JsKxWFNJAWXF0aDAb7HH24DHgRfaWdglWHkg1I77W1kUIgWwgz2hgMDbGlAgzcaskowEAYrGxodrsrEIUmRuZBVJI1nopWBATrHgc8Tg2bJDeR2ByJypcjIJVqLY16ZnBKmIa4nF88INSCUeMv/orvPxy802sNo4fABOFlQnUGrVTwVPPHnv28Rcf73ym88l/e3I6Pv3YlsfOfuDshT+68IXf+gK1hlRlosMdwOwsNjckBIuiKIPWAABhpIzNvULuwRITrO5uFAooOXkF67b+/ZWCkSdYFMX0MclfRQsPFgOTCZ/5DA7OY5Dm17lzdS+wgr/9W3zuc7zZGkAmA5qWFVVahbnf6BJhOB9uh2ABGHAOdPQUubuIJj2jhQeLoihTvdNgkfV+chBPfZ5NzA65hlayK2C6QdMXdvWF35xSPOvV6zg/DXSBXqI77F247Ta89hogULDEV2WDk9d+/ssq5ATr+nOwuGtgCvgD4Mv/bQrWYnzOb+sDIO8iHHINLaQXyBkNDCQlQpnG1NWFSNmpVCLMVrKhXAgVh7oHC6slWCtdvyFYbSDeBsHiFCxZOCc4j1YbKaPsuirBemTDIz+a/hEX6U4mWM8BT6u/KzHsQFcd5knR65H5yYRbnsvkStHFlgTLYkEpBDjZFE052I3vCaCZieg2t+fBugKM8UdWorTKlFEGnGzAxrTLMD6OmRm7wV5OeHv7aGFGAwDEYvZeu92uwIfcSM+LY9wZyOcDFqUeLNn8QAUIkxqOH8eePdDIfmtNvpZKIRQiRPOYTLBYEIoqGLBIBGsVXYSvvopGQ+VcGAzi8mV+fW0erEHX4AsXXvB81vP+H71/Mb341PanZj84O/vB2a88/JWnJ5/ud/S3fgolKClYV6/iZgvOKzwqggiaIVlMlqiQg4ti2kFRGB5GCDzBGjbvgCGXrQp+2ApVwlAuxHmw2HXCOFzgySdR8uHyT/l1jof1AkFs3IgnnsCnPsU/Qs7TACmB6rZ2J4vJSp2XJ7u6EI2qRh9zaNVFSGxy55sBbTbo9SqTwvxOv93LZ40SughV/7qx7tWZlPtSxTasueTcfv/+YDaIKTbDfddOWiXJYWYGvb2gRmFZtLhMLtxxB2vDWlxkBxGKd7Jde7NTxxyQfLdtKlicE1a5RMju4v8T+A9gak0Od1yvgrWUW+nvGAYg7yJ0GB0UqMtXS20RLKUSYa1DiWCdC5/b0rklk6bYq57Ve7AIA7N3AJHe35jc20BCRLBG5LutwOQu9y2h7RIhv74JmAYYfVpGoDZ5Nxl1xjPhMyCvAxXgewBp2KsaNhSg3S28Qe4nk5YIG4V2SoTliGJGA9Cck3MrUALOAoDL5MpWskx0rxoEGQ24Hg8W88NkU0RlGBhALEaVSoaS39NZlp5u43F0dDTTsmRwo7iiUCKUNEAV2Tk5SuuKECY1EOt/4PnaiRPYtYtAwAD4fFhcrpFTRmVNPWhTwWJ2nIMHodWqvB/J+tpKhAeGDnzv8e8tf3j5xPtOfOG3vvD2jW9fw5OQcU2BYM3N4e4uRYIVxVK5uVcwWaJCyizjDmNjmC/xBKuQ1RutpaNLR/l7ELZwQODBYnUK6fhADhToAXzpL1AusyoIV//zgQlz//jH8a1vgTMUkk2J4hKghtL47L7lLP/lGo0wGlVi5wVopWDJXVK1Ri1VSvFOgFY+d4Mryh1XBJO7soIFQF9za4zKR7iAYDXoxnxqft/AvmAuiLPABHD+/NDNXcWi0KYlwvnz2LYNGIZ9ye42uXHXXawNa3kZ/f3CMw6DA/tNoTlvLicOzjADVaCm8iYACI6cuKoHC4AL+B/A/7P6jAYG1+nBqsb9vZsB8oYz6Bq8PFuQXziwkBAsWc9ud0ct3OhUiiU7Gz472TPJH49yguV0qitY4lY0AMBOID38GwWrDQiUVWmMOwNBiVDuWwLn0WplcufXrYC3mfzGJXwIIKwSdnSIhH0A+DEwAcivPtUxlAYtat+X+MloGvm8OKahlkOjwY9qJ8FqRTWs2EKYLCXNOrNJZwIFPAHG6q6ltHaDPVVqFbV5hZ9CCCBWjN2QEqFWi6EhzM7q8n6ntyD1YMVi8HrHxhQJVinYXolQ3EXo8yEcbk8GGBWUCIn1PwB2O2ga2azSOlhK1yCXCEn+OYve0m4X4cGDuOcelRPhwYO4+24oKg3twag13jdyn92gaFteI+rAEhvOKUIiAZrGhBsFhav2CK7lBXsFm8TQhNjkDmBkBNMZ3oOVTMLlpg8vHubvQVKwaJpmcrDAlQijUdhshH0mBLg0mBzHl74kLRH6wMx77uzEhz+MjzRTLAgOdxBKgGuvEq6+RBgrxDxmD9+HoR6F5RiAY4lbD+fC7ZcIAWhrLo1J+QgfH0c8zhQuVrIrLpNr1DO6kl3BGWAHcO4ctX1CJY6UnVI4DFfQ5TF7sHs3ZmcRjSIWg88nr+Vt7R01+S8cPiyTFdsJQ2GOHFqRYIkyQP4ESP93KFg0vaDL+YcmAfKG43f65+fptjxYQ8CyNPLUQWWrlKFYIpdRpkJTO3p28Iqq3ORutzMEq8vSVagWchXph04oEXYDqKCw+lPSmvBWJlgJvi3/6lW1EmGpVtJSWr1GL19nS4Qqwb6SEiIXNzo4iPl5yT2FBGtwENckmmU78Vdy9MdQFlWPJDlY2SwsFl7/YONALRb1aTkWC2pxtRZCpsABAE8A32FDB9qqEs4A4/z/rlfBUioRgrVhabL9blcOMd71BQDRKEOw5DlHAOBGNdIewSqJPFgGAxyO9s5S42KCdcst5Lv19mJlhdhCKHxFZJO7ggerRbAnYxCJRhEI4OGHVRSsl1/Ge97Dr6920vONRQDoYkcFiMBsBBSwBRIbFgM6jJm0IIVU0khIIljnY7yClUyi22s4HGhBsOLFuM1gM2qN/DpTY5KDyXD/7Gcbn31mZZnu7xd7sJri2p/9GU6eZFOZyCVCrxfJJOp17oa1+9xbpQTJ16U+qlYKVtk6y61LTe6t6J2m4oRBWYjTaDA5idOnAcwl50Y9o0zGLM4BE8C5c5iY2L1baNMSgZ1SOIKuSJfb7IZej7178Z3voLsbWq1cwdrQsaHc/7NXX5WVfx1tVAmZIyMNmAADYd1qFRxZk8DbRPvqKnA9ClY4HHBS/q5xVpOTXegNOgdXlvRDQwoPFypYeqAHkLQUp9Nd2rhgUrkIZ8Jntndv52XlHCA5UTeHOVMUNegalItYZH1ZfwFLvyFYLdEk/uUyolHSptMsERLlK7StYIlM8FwjoTxEB7hj8I7p+HQoF+LWebUjCbwMPNb+22uiawW5MeENkrcjUezbn5ZTVyZY4Vy429YMNtkJ2IBXACapoWWY+7SoRLj2LsIQUK0ilSK5pQCwNqxGtqerXICfHWHBIhaD16tSImzElAmWUKEqStv02vW5uwE9EAEWF0FRpNpQ8+mCQckYaCF8PgSDVJuDCNGmgpUDDh7E7bdjcFDpRLiygnQa99/Pr68tpuFGQcXhzlxpbSUTrOICyk7B3FGJz13egeHlAAAgAElEQVRscgcwOoorC4CJTWVLJuHvsZ9cOcnbm0hZo1wLITiCRaZFzZTRjRsjD7/Xqc0ZjWIFq3mkmUz49KfZ3FFCjDsArRYOh9D5tHYFqw0PlmRdSpJaZY1mjBeZ44qmaekFmGoOFgBU7A1DWu0Ou3czCtVscnbEPeKz+aKpKKaB3iQKBfT379rFEDACzp3DxAQwAl/Ux841v/NOPPcc+93JPFhuk9sydvwn/1VNJMRBUO3YsJgjQ8GABcBqRbEoaFH9CbC31XMScR0KFj0/v2yn+xx9yJBHjww4htIxi9L2hs5OxOP8e5DbsNLpbkOSWLFt0I0LkQsTXRMswSoBWkAikggUKmKVkKBgAaBPY+43JcKWaAq2165hYECa9Q3wJUJiRgMAiwWNBkq5WrseLACb1AiWXqO/d+Ten179KZhxeDaEuDCk7wIPEGrYrWGIgNIJQ5Ukb0fiCmXnPfMOSTKsVtBxQTKnGCIFC8D7gX8E2mwkFBCsSr1SrpcdhtW/bUbBCofR2Ul2J4ElWLV0pydblmZOtvJgUSmSB8tshtks8ucWpBdtq24kVKn/AfD5li+kajWC+5n7c5GQdlUKVltdhAcP4sABFaXh5Zdx553o7EQux+YwrZEo3yDMKqSMtiJYtWUYhR+15FdMIljCKKx0Gl63ftQ9OhVqZgGQskY5Axa4a2hyYQ98yug7/2KgMovZWd5j1csTLADvehdqNbz4ogLBQtPH3sTaCZZqEhXUJz2zf7vFtJyYbopZT5VTZp2ZbfBk0MqDRZetNZ2qS6Fpw5pLzo24Rzxmz2BwkB6kMXMW27aBosSNhjyKRSwvY3wcVX91MDnI7rEHDuD4cfT1sUHksl/A5p3pSxe00mET7aTNMUdGFOgir2s0MJtbmmnbQMfaFazwtXOOht6sMysNVXOUNxkcaQNJgQMAnQ4OB9dqRiBYmUy3KU0kWLPJ2Q5Lh1XrqtVgsQBZEsMTjMIhRmERPFgAaidxpUXy5XrhLUuwSkCN/cTJBizwJUL5bBnhXZIJul0PFgQKlt+PcFgeIySsEooMHmurDwLIZNC5guZ+TtN0qVYSnnHFKaTNEmEbCpZ6ymi3VXBF9h7gl8ByGwQrDGj4bYhxRq+lCb8biAJLCimjDMbGGjOzlazTEa9L/c5NDxY5qcENbYakYEFGoNasYKE9gtXbe+IkpUrAEA3r21ewrIZWXYRmoAwcfB0HDqgoDQcP4q67QFGsr79Sr5RrZZte7cz3K8W1VgrWNhB97lQUDqEcLPFgyQgWo/HRXSzBYkqI+/z7Di02h6goKFhMRgM4AqauYAGBnLt/gwV/+qcoFFju3wNEgWbRT6PBM8/gox/FtWsKBGu9puW0USKUKlj5qMiorkqw3CY35VwOLNGQO9yZ4WOKp2sAaJQtNZ2qiC4mWABuT96e35xvGqwwNoZUSmaQBS5exPg4dDokXAlH2cEypD17YLNhYABJwE4IiN7sGx7aFpZ+t7a2FSyFjAbhXa4XnrUrWIHAeT/lAhSn1mozI1qXauOPelJDOt1lzRNLhGfDZye7J/mzm9zhDt7kDgUFi/l1ik4BpRKoKZz5FTGftyzBapnRgNYlQjAcLKVRj2mQlggvAjSg06GvT27DemjDQ7+c+2W5Xoaw/jAPXAV+q613JkU2i94IR7AKtYJRZ9RQGuG6cL9rv0RIpdVSRvkSIQAb8ATwz21My5kWO9wLMY9pTV1jOsABzMTVCNb4ePRKwmgtGQM6kZ6RyzGD1m02OJ0kCuGGId8ewSpcH8Gaba1gnbhkUyVgSESMq1KwWgSNUoCZRjCDHTvQ1YV0mhupKcQrr+DAAaB5rlw7Ub5BUEkZ5RQsEsEyZeDdIvi/pEQo82AZDPD5kLezBIshYPsG9vE2LCUFS1IiZGatyDEviHG/cwRnz6Kvjw290wFuQNBIc9dd2LoVFy+StbD1CXNnDgaj3N3Gg0CwJCXCVlFY/i5no0FnMojmo9JBhOr1QaBWMpe1qm9j0yasrCCTmUvOjbpHAeyJ7YmPx5stgmwcqdzn3iRgSJaSKx0rbDOTXo99+9iMBtKOMe4Z9245L/1u16NECLVZl6uBDagJBhquBoHwzICpG1AkWLVEX81BNLo2oZ7UkMl0O4pEBetM6Mxkz6TIgCUnWOISoTypQaeD0Sg+E2YycMYQv74B2G3jrUywmiduckYDAIcDhQJqNaUSIRgOlm5BsEQKlguwNqV7UpWww9yxtWvrq/OvQnh5/E3gcVn9uE1kMhhKgw1/IORNSBQsl8nVpoKlzSnGNIRzYVGJEMAHgK/Ba/C2mJYjzmi4LuNONzCdIWc0MBgYCCaMdk/GErBIQrA49kSuErphKrZHsErXR7CmaZw61ULBWuhSMmAxfy4ZMa9nTAMAfQk33w2NhleoxFhYQKHA5nIxIle88OtUH0QbBIs5eCUbdx6NBgaEHSM9PcjneYYkU7AAjIwgYWCfiiFg+/37+UZCksgQzIlKhGoerAVwMe4Dwzr8zd+ILhZ9oiohgM9+Fl1dCoeumGANOAYkQ4raMrm3MmDhukuEAPxOv7ursLyMaCGqNohwodmyLUClYCypEyytFhMTOH16NjHLKFibQ5sDg4Gmgx0gDC0EuIwGIFlKhrpCPBX47Gfx+ONyhzuDjd6N9tu+9dGPim9tn2DJwkvld1kHrFXEWkwvDrj8AHm3AZAMOWr2WbU9R0iwRmVJDel0t6tMJljhM9u7t6tlNEBEsIbdw21ljabTcNqxHdwp9YZiHQjWv/zLvzz44IOPPfbY66+/fv3P1i5azskBQFFwuZBM5quEECwGbjeSWd0qTO4QxI1K6gtNcFVC/vL4udWMx5Egm8V4nlOwiHNyhPud0+TMVXINq6UlwdLlABdw4QIek3rv2RAsAECthh07UN8CDGL3m7tbK1hihzvrFV0DeoD5opqCpdGsdO90OdOOJYcSwRobg3wiIe2CtUI+S/3TQPSzS4L5utepYJ0vobNTmF0pfSW+3pOxIRUC1tODdNxs1rab5G7Vtxr2DKCRxZ4D7L9JVcKDB3HnnayMwpwrk6XkuuVXrQuIBKtQQDLJ18/kNqww4tpmyigDJkuU+xXLFCwAo6MI0iIFy+/0G7SGq4mrAFlkEFoY1UqENLAoHkT47nfj3/+dv0OvlGBt3oxAQGHum1ih6rZ1J4qJaqMqXG9NsFo18RHvIo3wcLlQr6uEbg04B2ze1NISKWVUaMD6GvA56WPLBUORUug647BrV/bNo4VqgdnERhZHZnqnceECq1ApECyOgCWLyXhPnC9mTU7C55M73Bls6NgwX3tjclJ8azsEy2RCo4FIgzgnh8F6Eqw12bCWSpH+rjFAUcEKBCiPL6s20F2Y1EBUsDpqRIJ1LnxO2kKoTrDaHEfIHL47wJ1Sbyiul2B9+9vf/uu//usPfvCDDz744EMPPTRDNhXfALQMwWLgdiOZJE565tYTWf0qFCwICJZ81AYA4OEND//7lX8Hp3AdA2hAbYK7KjIZjNewyMYXydU4iYKlpbRWvTVj07ckWMY84AFOn8aJE5JV4Rlifh5nziAcBt6PPT/c06KL8IqIYEknua4K3cBSTU3BAoKerZ3WhCvkWpWClTPAQ5GdHj+1hy6mBYysKDW5j4zgypX2Xv8ocE2rJl8BM5VBF5UmCxIAAJMJBlMVJRK5SRJizNpSsEoxTNzK/pskNrzyCu66i/03Q8DWFoJ1o5AByiRr8Nwchob4lgi5DSuMlbpM7Rbq0AoK1kKJV7CYdd6GRSoRLmeWhR6sXJZGKERwTgUBJ8vgeQImPC4FSQ0cFB1KYgKlpbTdtm52zjFhXQFrIliipmMGqo2EA44BgzuytESakyPcy+KAuN2v0UC1os3RCjmhHHbtmrtwaMQ9QlEUojDUDdONU7BYuEudZqOhCFyJMFFMZHuzUreQwsTAMc/YfGpeSGSBtkeq22wI1tQJVlvZsC2x1kbCRTo16N8OKBKshQX09tfUCJZQwfICdbYhl0Um0+VtyD1Y6XI6WoiOukf5g41ocmcaBWgagMfsoWlaHtNIIFhO51uGYD377LOf/OQnH3jggfe+972PPfbYV77ylXV5Wa3RVLBoGvPzCiVCsASrRYkwp29pchflZAkJFknBmuia0FCaC9ELrML1TeB323hHSshk4LZjE3u2kBv25Z5Ut9mdtOta5mAZi4ALmJ5GMCgZWCskWNPTALCyAvwOvNNe0xxpbAsHeUbDmkuEPUCIVgw4AAAsW8Y30ZmCpSDKR4lGuWQHooIVrcGj4CY6huVYWnBOkylYW7YgFoNScIsInUCthq13qNzl+GLPLY2jKncAYO3IVFOkPXhtXYTBIBoZ9DRlHBLBYhzuwvVfr4yGWeX6oFCekilY6RnEtTIGxf2KGw1kMnKCNTqKmSxvcmfO0bwNi9SuK41pSNfh9UIvswjMs/IVFOboyEuEapCVACU2rLYIFnEOjgBMS6lJvAdIPVhoHYVFOwJLS7ILMAnBSgJneZs/gFwOZksjXWmVdbxr11zgLFMfxBRSG1Mry5c5+QrAxo0Ih0XtwskkcjmW4yZLycJAQaq1KChYRq2x194rLU61P44wXFc3ua9DFyHWqmBlMov2xkDvJoAwiJDB/DxGh7UL6QXCGgMhwYJMxEqnu3u1cgXrbPgscxptoWDpdDAYuDMdMQqLUCJkFCyFqI71xXURLJqmp6am9u5l0zn27t17SinBbd3RPNyXl+F0KitQHg8SCeIgQgZuN5JFU0uTu1TBYrJGSR4sBg+OP/ij6R/19KCcA/3d1Y/HEYIpATYZd6FaUJmTw8BtcictmpYKlqkEuICZGVSrwq2Xpmlhdw9DsJaXAQOij0fv+JkyY2gA1wDBOS5RTKy9RNgNJPQtFCzdwJZCMdgpvswXlwjlClakCidp3s9CemGlGInqKnwVUKZgaTS45RYcPix/NAm6BXTvU1k/cc50k+40KaqFh8WTKqVICpZCF2ELk/srr6DDiELzhy9TGubnNZUKP5maOVEmigm3ea3f47pjrlVGAwMZwYpdRFl+kuAIViYDq1Ue9yLMGuUUrn3+fawNiyQyCC2MdjtymYa6w71eRzRKOtJ9BAVLEa3C3NdFwSKuS7sI0ZpglcyzBGVU4sFKAgVgmr8hm4XVSqdLqjlYALZunauER2wDAHAGlW2VYDIgJFgaDbZvx5RAw2Dqg0ztNVVKVQYrUgVL2Sy10bvxSkwsa7c5jtBma9lF+N+pYM3PL7k0A44BgDCIkEEggE2j1oXU+hOs7d3bIST8RIKF1lVCkgfLiQlgZo3G/1VB1nW6GiSTyUql4mnqrh0dHWGlIU8CFAqFj3/8488++yzz33e84x0f/vCH2/+jtVqtVqtpw9pGX6Oaq54/rx0aMuRy5PRqk91eCwYTxoQBhhypmm2x6BcKpiJQV651ZzJGp7ORy7EiMDVIWS5Y8rk81dNjmZvLZ7NyT8Q9A/c8c+yZP57843d5rFkPrekstHVBQ4IllSpptdrNZc0JTfnd5VgmZqSMwvcSjxs7O/mXB8Cut8d0tUoiUVF+U1qt1lw25/V58+XLGoOhcPVqoynTxYoxu8FeLpTLKAO4eNFoMOivXSvnctX4k/H7H7w/F8uBJGNpFjRmrznfyHNvNpgODnYPEj/5ltC5dKaMJe9w0MoPXyp7HkyVF3oWBnL8CcwQCsFuZ957by81N2fNZHLCLK3lqG6nxlQO52mrKMLh5ZmXJ7omIuWZ0i9/WXv0UQCWvKXUKDVyIjp2002Ggwep++4jNN+JUKnYSudL1ftryq//jTfMj3YuFK5ebWzYoHQfgzOWi9jln6E1Yy1oCnRO9BboCp2v5FU+cOPPf67t3lOJlWq5GgCd16s7eLAkuP8vflG//fZaLsfuPS4XtbRkCaaDHrNnbd/jukN/Wa/p15Rz0s/fePlyY8OGavNFUsOU5Zwln81z48yT06ZGhyaXEyl82t5eww9+UMzlqJUVi8ORl73Hnh7q1LKFtiGfyyeTVr2+kMvRI9aR5czyfHS+W6czpFJFwaMylYyW0tJlOlfOAaAoKps31np6SrJnNkwb0ItKrrK0RHm9llJJyox1Hp1uUVfKKZ4HyuWyRqPR6/UANFarKRwuCP5Kj7nnauRqbrD5gVCo123RaE5Fr9dFozqzubyUp6JUY5xwFRIKaWw2k/AzrDaquUpOX9MLDw9DVxfm5pT2H6/emzacn5+v1zNBu4Y/tvWxmNZk4j4oc9ysGdCUj5ZrA+xgv0hEY7XqUqVUy0Px6pBzQxK5XM502lSfrC+nIuWxsargURMTxqNHGzfdxG6bJ0/qN27U5HJlAOFM2Nprpedo4cFjDBmZM478bw07hs+tnDvQe4C7RW/Qa+KEQzSfzwtbcS0WCxVG0VKQ7DAcTCZjPC7a29cGg82AICo5aaiQOugrF2PGup2y53I5Y9zY8EnffjxOGY0Wv9v9yuKU0jeisdlMoRB3WBoHjPQlmnslpkTC4qazWSSTOaHCeyJwYkf3jlwuF4sZTCbkchVD0gAD4S1Y7PZSKNSw2wH0WfuuhK/k+kWvxGIxRaN17jPUR6Mas7lczVlGLKWTpcYOxdG6NE0Xi0VaeTKaxWLRKGU0NnFdBMtqtVIUVSyy5Cafz9tbNdkCMBqN733vex9++GHmv52dnTbVZDkJGIKlz+hxM4w248oKNmyA4jN0duoKhSqqbqubeB+fD2cqVnNHh0q6XbUKtxs2W7N12QbUYSvZ0G2DzWbL5eTXng9uefD3f/z7JU3pXXXb7G3UztW8QSlyOUtPD2424iXobfq6tu60OIXvpVhEZ6fg5QFemzdr0xpyNYPy3+3ogK0GfZ8Vs7PYs8eSTHKfwEJxocfWw/2Ja9dw002Ix402m7FzR+fpgdP3/OQePE160iVgo+i7yFQzPqdvVd8vj74aKm6r0FUjQ6hoGE7Tr2+99oDtAf7WdBqTk8x7Z5IaMhmbsLM9k0HBCHfFCrFv5HT09Ds2vePvIp81nTqF97wHAMqwdFgkV053342//EvYbK2aQk+cgDdlijjIF15AtYqLF7FnV8qSSqkcfiZPopzpI3yGGVj7rFKBzagp1opqH/jrr2Pi70w1E/uqRkcRDgvvf+xY9b77dNwtY2OIxZCpFLb0bFnj97juWAa2Qi///BcW8OijRu5F2gAbbCkbN/2ztgKTX7ZXbNuGhQWbzYZyGR0d8vdosyFtAJWAzWJLpdDfb2UIyq0Dt55Lnhvq7ESpJHzUUmzJZ+ePeYsFxQqtGR4lfHorwG4YbIZEAn75CwMwDESVNzdAr9dzBAuDg4jHhXce6hhaTC8Kb/F6USzalCYjAGA+BN1nrIgA/0ZYr9Xgcole0kp2pcPS4bCL9Y3hYZw9q7T/bDBvSBkuhEJaXTk50DHAP1ulArdgo84Ad8N0ycT9gup1uF2NUDnT8lC85jM9Eq3ZbDZcQMcfdYR+kjPu2WMUPOqWW/Dzn/Pb5swMdu5kf9T5et7d76aslC1v4+crZ4A+GG2EAIttPdumQlOil+QFyoRDlKZp0d0cDkzrLX6d0hbhdqNaFe3ta4QPSMBgUwsYk2M+ON1NW5x2JwAUgC7p279yBUND2Niz8bmLzyl+I8PDiEb51Y3AGcEryed1Pd3MYSlsL7mcuPy+m95ns9lKJebsZkAF8JDegtNpqdWY/XND14bZxKzklXg8KJd1/GdYLsPr1dts2AXLtAX7Fd8+TdMajcaqOkavJa6rRGg0Gru6uuaaPqRr1675Fcdq89BqtUNDQ7ubaOchBDRLhHNzygYssFFY+aqiB8vtRrJKGsIqgLREiBYDcwAYtca7h+/+xdQvdsVxSK3G1QaYEuAkcA5oEEzu5BKhkVYvEdp1oAEkgzCbsXWrsDUumA0KMxpmZnDgAFtH8pg9X979Zfy/Ck8qdrgDiBairHfn4x/HP/+zyuv5j//ABz4gvkkXg7ZPhV0BCCUMPXn7jGNadGs8LmwRHB9nq5wcEgmULIQclCOBIw+MPVCl6OIbzX5YWYkQwM0348IFdYcbAODkSWzSQeYA43D+PIaHYet3IahWB9I5ovmETJ2vAFXCazPrzKVaSfGqKxBANot+F6+nyko5hw7pmAQsBloturqwvNL4NfJgKc3Jke8F4iohHYZV/sChISwtoVZTsR8NjqJqRXkJtCCTeN/AvsOLh+XTzlayK5zDHUwet7aS7yK94nm+hZAcbSXrIlSD1ytJz1xL1mg2C00/viFrp2+idUYDg4EBBALSG5swaA3u7vxioCF9rCTGPQncLTIjZ7Nw2DV1us4EDapgzlIevRxGFZiBY7ulSNWL40PCO0gaCbmMBgCJYsJj9mBEnIqp4MECcFPfTceXj4tuaidoFIDVhYJGKYwQ/91dhIvBy4P6JhknebAWFuD3Y9A52G4XIWQlwkwGDoekilin6+cj5ye6JiA83rIKJcJWWaMEkztzvvwS8HuKr3q9cL0m93e+851f/epXAeRyuW9/+9tPPPHEeryqNtDs6ZAYW6VomtyVugg9HiSq9pZdhNL1Vj53AG/f+Pbg14PLm3GpfRcFEcwh5gS6gBnIIyfkW57L5Erpai0IVg1pDXDlCjZskGQPRPIRrieoWEQ4jL172XWTzvSzjT+jgzSIXrtpKcFit6paDV/9Kl57TeX1fOUrePll8U31FUgkJjEaDUQicGqHztvPiRaiUQnBkvjco1HUbOJmFqBQLVyOXd7l2+W1dsYCV9izpmxUDgCzGdu24fhx6e1SHDuGWzuVTlTM+s03tw5+0Doi6Zjs6FVo6qEoyqQzFWoK7I+ZkGNjO1IBwOdDJMINCZ6ZAUVJf1B9fYgE9b9GMQ1ED1athkAAkqmzYoJlSMK9SfZAgwFdXQgEkEgoBWqMjCBvR/aqKMOBbSSUnQOlY6YAm7aY7xS/MAbzLMEiO9whDXNvAZMJBoNwMog8Cqt11mg6jal78BQwy853l69LWGisEJM63NGiixDAUK+tWEQ8U5Sa3Lm9jAZSwD0iMzJzMekwOjJlNdtina4H6NTQyas4A4wDSzM9ZX2oIXrIli3s5QYDroUQQKqUcplc0thxhS5CADt6dswmZ0UvqU2Tu94HW0XlJCya93w9WJMHKxCf67c1LxVSZII1NIR+R38oF6o1auRnMZlgNPKH5TDoOfrQ4qH/vPqfL1588WvdS38XfCmrv/p/fvr1P/zRHz75b08+/O2H7/z/7vTZfQ6jA0Aq1cqDZbere7CkV0DcEez4VcSAXu9f+NjHPjY9Pb1ly5YNGzbs2bPn0UcfXZeX1RoJNmhUMWWUgdvNmNzVcrDqjlUrWJzPnZnGQsK7t7/7zkN3/nLPCYX19lCtotYclTgJnIGcLBIULLM7qauqEyxbDWkKmJnB+LhkNxTOybl6FcPD8Pv5dZfFlfndDL5KetIZKcFik9x//nPU6zh7VunFRKM4cgRLS2JZqBRA3alydolE4HZDXx+85Lgs0mzECpbc5x6Po+6U7jgnV05OdE+YdKZOW1d0chzHjgFACUS32f79OHSIcLv4GU/iviEo55acPIk9e9h5zypPQzmCqaiM5SkQLABWvfK0HI5gcbu2TgevlxuZefAg9u+XbpT9/YiHzb8uQaN1IMCGc4qwuAifTxpBLk5qsOTRMwECmF+xsoI1OoqEAYU5UYvhrf23ToWmyhaDRMESthAysCObdciaYRv8G1leVlCwmDD3dubbMGgjzL2FghVp4PR2fAIwy2JaAZB2m0g+InW4g1FG1Vpt/U6/w5ujM72inVmoYGUBM9AHGIAAv263w2l0qvvclzJLndYu45VZHK7iZuDcOZ/GIUysAKDTYds2nDkDAIEAzGZ+OCnbmjMs1lqUJ7fqNfrdvt3Hlo/xN7Vpctd2wUp2D7NPI5VH14o1KViB3MpAR1N5JQWNMgqWTqPrtnUvZ5X5tFChGkJjsfG+77/v79/4+xcvvHjckV2sxiyunKbYs9u3++0b3/7+Pe//9N2f/uXTv2T/rHrQKForWNJxhG0EkawjrpdgdXV1nTp16vvf//6JEyeee+45LWHk8o2BoESoGIIFtkSonoOVbKh0IQLyHCy0jsICoD+jn0xMftL555emV2ctFEF4SbcDmGpbwdJUWnQRVpGkgZkZuYIVzvM9UPJ1j9mz/DvLeBGQb3HiEmGtUctX8k6jE889h498BFeuoEa+yvnOd/DII9i4EeeFwUXhFRgLUL7gDgYx3g00TGlLLFcVXOjFYsJJznIFKxYD5ZGWCI8Ejuzt3wug09IZ27kRhw+jBjQAkm9h375WjYTZLBYWcOcmlKVSGQd2iI7Pp65g0bblZETG8pQJllpSAzMBRxLSI6gSvvIK7rhDSmn7+pCKWH9dSoRLgJfEeolxw4KBOdksOuro2Cy9C9D8FZNSRhkwWaOVRRHBsuqtmzs3n8xNS0QG4aRnBrZ6OmuX5eUGATf7RpRi3oHraiTssfVEC1GhtNCaYJ24Dbcsorc5SVOG1nNyGHi9iJ9CWNGe73f69a6wvSz+PoT0jYt5E3TUM0GkTpMzXVYjWLOJ2RHPKDZswM/SuAU4f77X0h3MSj9HbuqzUL4CkCwm3Wa3qERIkyc9c9g7sPdI4Aj//zZLhFQnzKqXwetVIlybglWLD/iaki+pRLi4iMFBAPA7/e02EhoQsUf+dc+//udT//nC77zwte/X/+7BL94/uWOP46E/2P0HT2578uENDx8YOuB3soquiGARDd6Cec8Oo8OoNUYLUck6IWgUaFllXhesg0ZGUdTGjRv7VPOK1hlVoAC4kEqhUoGaZ5MrESooWB5XI0m7aIOai5BQItyiXCJcAf4euAV4ENpPaf/2XR9YWkKm2NKwowDhfrYDOAM5WZRveW6TO4mSOsEyl5GkgelpbNiAvj7hOT6UC3ElQqaE2AdCY20AACAASURBVNGBYhFMM4Pb7I7YIrgf+FfxMxaBMJ/rAyBejLtMLm2xhJ/+FL/3exgYUMrofO45PPUUJifFItfyMpwlhBTfwvIydjqBrpyjoeOvaGlarmDJS4S6TinBOrp0dO/AXgBeize6sR+HD8snPXPYvx9Hj3KFNRJOncKOHdDplE5UhQLm5rB9e2sFq25dSkQNUleVKsEih7kvLqJUwqZNsCoSrFdfJRCs/n7k4+5flxKh0pCcq1fJBOsy0ACAuRl4AEoeT4rmr1iZYI2MYLGM2pK0hLhvYN+h4DE0Gqjy3VVSBatSsdXTOZOsF3+e/7EwSgAZq7JhiUuAOo2uy9oVzPFHV4tpORngygE8sQCQppoAIJUIyR6sEAW6BxcVL48GnANl87y1LP7KhAQr0SRYO0UEy26Hy+RSV7DYMc+7duGUDrcA5875PIMSBQvArl04fRoAzp0TE6xSUqpgpQCL2qyz2wZuExGsNhUs2guj2v3WLQerY/UKVrkcMJT8A01jGimmYX6eJViDzsEWUVhNG9a11LU599zu4m4AKBaZICuJB0uIdLp5VaMS0yBQ+eQTCZVKhPf96338yPYbhrfkLEIqQcENUMpDcjg0c7CUTO76WtFIVXJ5tSm20lE5APxAEsgKTO5J4J+Ae4AJ4CzwaWAJeD+e3vVOqzv7B9/61KreIA9hTPskMEWYRSgZlQOmREgX1G3Y+hziDdSnZzE+LhlIJ0zxYUqIAHw+lgZ4zJ5kKYkPAP8ofsarwDAgUDDjhbjX4tX94Ae48050dGD7dlaRlzzuKpaWcPfd2L5dTLCCQXRUiXUKBisr2GIEhhrOEs1f0aZSsFiEcddjY5ibEwWpxmIwdIsIFk3Tbyy9cdvAbQA6rZ2xgQ688QayNSWC5fWip0est0lw/Dib4a5AsE6exMQE9PrWHqwSnbHaGnHJ/qhSIjQolAhffhkHDoCipApWs0B8+TJ0Ovj90r7lju4Slek36VQDZn9laDmFUAg70MHOswtMoaBXaJtmEoFVFayZLOiQNIV0n3/fkcARic4gVbCWl23Gaq4g22nneYK1bgrWdWaNfhnwHMMGPaBIsOS7DSEEC2Ar43OKiaB+pz+lv2wsimu9wlE5CgoWUyKUB3YLMZecG/WMYtNeJE3YDJw/39u/WUg0GQgVLM7hXq6Xa42azWATKVhxtbQqAHv79x5bOtagm7+dNj1YdTf0akxx3XKw1jCLcHFx0atnBxHSQJZcImQJlmtQTcHq6uII1A8u/4AeoTXXNAA/+FKdYLUoEQo8WCBNJCQmuR8JHAnmgswV9Q3FW5JgcZlvrQlWc1SOEsFCoeCmUskkebF5FxnBooCNwCXA0YP02/BQDcPAz4A/AZaBfwbu46nGrq2uI2fDz59/vr33JoZQnhoEitDGtML3Uq+jVJK+PJfJlWoU1K99qDRyOhTnwxgbQ2cnslmUWck0mAsKY9yZhCaOg3nMnkQxgTsACnhV8Iwyh3u0EPVavLrvfhfvfjcAbN+Oc2I3OgDgm9/Ek09Cq5URrJUV9FAqBCsYxCgFbDE68jXeYSpIGWVgtcLlEjluYzGYe0UE62ryqlln7rP3gVGw6Dz8fpy+rESw0NKGxdb/FAkWt96SYBWqhW5fXXqXHyoOXzLrzGSCxdQHAZHJHTzBeuUV3HOP+CEZoAGbN6XNyU1P/024thqCBd6GFTmPolKGDFMiJM3JYdDXh2tFICQlYLf7bz+0eIgWnwZXsit9QsdVIGC3kaLc5lmCVS4jnUYXUVrD6hUsGcES+tzVCFYB+CLg+Sq74Sgct/Jh0JF8hLNs8mAI1oLyOELHQM28rCuK6x6SEiGjF+7kGwkZD1ZLk/tscnbEPQL9PhjPo1zA8rJvcKu8RLhtG+bmUCgIx0ALspEHgBDA+DtiLQiW1+LtsfWcjzQvucxABVCwffOoOqFTO/esW4nQBGjb43wcFhYWbfVB5yAAZAGL6OIZQC7HJB4AaNVIKCBQL116qWuii5UGm2KSpNFQCH5OiVIXoZhAyW1YAo9W8486HM8ceebDez+spW64o+ktSbCoBMUc7m0RrERCxYOFYtGtzSRU2T3B5A5gC/DHQD8F/f/E3hUEgBeARwnukA1j2t/zf+pD//Uh4ijKFpB4Snege6Zb+F6YSz5J0Knb5E7Wci3E5RQKejrf4YfZDIpCdzfndJYoWAzB4qqILMEC8H6I8hpkBCteiHs1Nu3p03joIQBKCtbzz+OppwBgchJnzoCvha2soF+nUiIMBtFXAibtznw9nWoSMRnBgngiYb2OdBqWPhHBOhI4wl3NdFo6Y4UY9u/HkSkVgtXChtU+wbJYoNeLfZgiFGtFqU1rBvgJ8Mfk+ysqWK++yk7AUfBgMQ54EZ4AXoLZE6czv0IDgDpUFCxiO3GzkTA9g7qSh4YxuSsrWBoN6G40VqQErMfW4zQ6L/fqRQpWTqxgBQI2h4agQ8yzBGtpCb29ymkk1xfmPuAYaFfB+idgP1CeYgmUgoJFjGkgKFhMMMqyooPb7/TDFqazYmZG9GCNAilWgGG2O5fJ1VrBco8iPobSqzh9Gps2+Zz98hKhwYBNm/Dmm5iexuamGSxZbM411wF9AEMblDMaOIiqhBSkhXgiKg5QaqU70iTxtWKVNqzc/HRZB/ajUM5oYDDoalUiDIcBRPKR85Hzw9uGwRySzYNJRcHij4g2ktxBIlhyBWuajr2x9Mbv7rieAXbt4q1JsOJUWyFYAKPt5MvS+X08ikWPPquuYJEJ1vuA9wLTwD2fx5aTZP8dAGB0FKVI3//a97/e+b13SmeCtoSEYE2i71qf8L3IFXswJcJqpiXBKulqucGt7H+bClWdridLSaZ3OpVCsYieHuE63CZ3spgEgKeBn4MnQDKCFSvEOpYTtXe8o9kFOSlvJDxyBAYDduwAAK8XZrMgPScUwrBFXcHqzAJjlFNvSy82o67icaHDnYGQYCWTcDig6RARrKOBo4zDHUCntTNaiGLfPpw4r65gKRKsSATZLMv9WxIstPC5F6vFvj5KZNP6FPCnqh4s+bScuTnUamy5l0SwaBqvviomWA3gKDADjTNUS3cqBxpfN5TJJWGdSLBoWnEvaCpYhXloegjrAOByQafD7KzKGD7LCIxJwvp+//7D/TSnYBWqhVqjxnSYs1hasru0KgrW0pJyfRDXq2D1OfqE7V2KMQ0V4PPARwUbTtsmd7IHawaw5RBS7O/ptHQanIlqRmxqE3YRcgSLArazVUK2i7Adk7t7BG/q4VvEd7+Lbdt67b1yggVg1y688AJ6e/lps8lSkp8KxdmwlOfkcLht4LajS4K5ou3YsIo20GpNB+tWIsSqGwkXA+f9VPN6gmTA4hzuYDxYbZjcf3jlh28be5vepwejVzXlKSWClc9Dr2/O8GyjixCkpAaBCR6gaWSznz/7j3900x+ZdWrRAeuFtyTBEoZgtVCwALjdKh4sFApuQ15dwSJ0EQK4HfgA0Kk2kZABs/5nt/xZt7X7kwc/2erliiHZz3ZgaH5I+F6EHi0ObpM7VWlFsJIoasr5/o3sf5uFqmg+6jF7GO2UMWAx8hhXyHKb3ayC5QAeA77efEK5glWMey/OV7loNL8f+bwkC5Gxt3Pgq4SVCtJpjFhVFKyVFTgiwCicZnd6uelHJSlYQp87u+4WE6ylo4wBC0yJMB/Fvn04fUUegsVhfBzlMhaJuviJE9izh/3gSEpAPI5Egp/3p14lLNaK/b1afn0G+C/g/1Z8YeQuQq4+CMBKKBFevAibTWy1vgikgWvI1qN6c6n1GLu1oVhEfz8qap22997LhmYACpOeQyFYrYRfAngFq74CMzGelMHICGZmlBQsAM4N8FQI6/v8+w53lTidYSW7ImkhRCBg85pUFCw1AxZWr2CJCZTEg6Vocv8GMAHsEpRkOoEaIYy33S7CaWA0iohiGwhFUb4eTSkllgSFswgTgliEZpWQ7SJUjWlIlVK1Rs1r9uI4cDPw/PMMwZJ7sADs3o3nn5e1EJoEBIs5WUcVQ7A43DZwGzuekoGtDQUrb0FDbbjcupUIsWoFKxC96jc3r0hIjk/OgAXA7/QvphcV842bJcDvX/r+o5sfRVczeaRZb/Z6kUiIbLIM+PogVBUswRVYCwWrUIi4DS9d+cEH9khSrW8U3pIEi0pSXAiWWsooAKDhcZdrZUW6Wih4jHkVBateR60mnR4vgnLWqHCdoqivv+Pr3zjzjVfmX2nxioWQEayxxTHh4GpiqIdBa9BpdPlGCSqyQwpVFAu+Jj9tGnGE16NMCyEDjgPwJUIAHwC+1gxClBOswLQnVa7fxhIXUBQmJoQiVqWC730P73wn/xBe5AqF0N0Nn5oHK7IMQwzww+noTEeaTCcalbeVCqOw2HUBwcpWsnPJucmeSea/bIlwZASUGVBLqdm3T8GGdfw4br6Z/XcvkJVeyx4/zhMwQK2RkOmx7+/T8OufBP6MPHiVATkH65VX2PogZD3k/f1YXn7lZZpbZ3EM6ANmkSgm7J1p5dG914dQCLmcNGtfjKWl5lGRBYqA3K6kcqW1GZhBpQBDGrYh5b8xMoJGQ4VgdW+GFeiQUbh9A/sOuTLcaTCUC0lCsLC4aOu2Si92GsAS4GfWb6CCJcka9XiQywlbHgEAdeBzwMeAchmNBr/Zka4NROc8oFwvl2olp1F8+m0Ac8DWApJqzUND/aZcQlxYEF4vpsBHnDcbCRnB3mlyqniwWIf7LGAB9o8gFsPEhNvkLlQLpZo0NmLXLmadv4VNGWXA+dwTrRWszd7NyVIynG9uWO0oWDkjaspXkIDVilKJwDzWglU2Ei6lFvudzeNSoUTIESyL3mIz2CIFBSNVdzfC4Uw5czhw+IGxB9AJVsFqerB0OjidkPbxCA1/JUCn0MUp7hIccg0tpBaEVM9ggFbLtsAjnX72Ns2TE0+K4m1vJN6SBIupiJfLiERU9yYAQMHrNGkMlGweM4ti0W0qqhAscn1QCKYFSXWdUbg6LZ3/8n/9y9PffzpWUE9TFkBCoDajN95ra9iU1jm4TK6Uw9A8rEhIoVLP8AHTzXO8MIeaM2BBkMzMdhEy2AH0Aj8GEkAFEJdg4pdOeXfuE7lLxDasn/wE27aJwrd5BWtlBb296IaSglWvwxIDfIABDo8vk2gSEIUSoYqCdWzp2M6enXoN+/P1WrxsksqGHSio7UmKNixh/Y8CRqXVFiEBA9QUrGKtaNaZ+RLiJeAXavIVlGIaDh4UESzhuskEm+3gzypSgnUUeAKYQ6KYcHcWVHO5rwOMu/XCBaX1RgOxWHOdGZIj/ymrECwz0IeV1zBshVZlaBXzcGWCNTqG88CQbPrLls4tcV01nGLpp9SABSAQsPnsUgVrBfC0EYIFoBuIskkTrUEyuQsVLIqCxyM7k30X6AP2yXYTUpVQYnKP5qNei1e6uwaADmDUgIzarNtvP/33ubSRZw+VCmiaj4rlSoTgGwk5BUvFg8U63I8BtwC7dgHAxARFUT22HrmItX079Hre4Q6lEmEbHiyKom7tv/VooFklbIdgZQwoq/2uKApm8zolNayykTBQDA90jbP/IZUIhQQL6o2E3d0Ih38y85Pb/bfbDXZWwaJFmR/EKiG/riRfQeqxsugtTpNT8kVzd8nFg1/bXPzQ3g8pPNf64y1JsKg4hU7Mz6O/Hy2TTfMddptGWYAqFt3mkkqJsC2CpVoidLlgMLDnkXuG73lq+1NPf/9plRndIgg1cwAGzHpnnTP81YQ8WJmB2+ROukxq+nIC9Wos39GsCTU9VsIWQi6jAUoKFsDmNUwDGyFCoxFbueq9822iG8WNgt/6FttfSFgPBtHTgx5ynDSASASTNlBjAODs8qfTzYsncQgWA2FSQyKBjg4RwToSOMLVBwF0WDpSpVSdrmNsAhm160uyDYumcfKkwGBFIFhshjsHLgNDhmK1aNabeQL2v4EPKe81AIglwpkZaLW8RUlmv6X7+l87rL3zTvETHQXeCQSRzCQ7feUbpWAxhEA58SKRQK3WXJ8lDclBK6/AViQPwW9UHbw0OgqDQeWnPjqKrwHDP5XerqE0t9V8h5PsUS0ZRAgAS0v2PoeUYF3jxykqxrgz0K8mzF1WAuy194bz4TrNl+qkHIwG/hb4KwAygkVSsCQbDtmANQ2MA34b8mr5gr2ObpdLUNKU7HXC5PStwDxQYD1a6h6s2cTsqHsUbwC3Art24Y47mM+3194rbyQ0mfDII6Ifa7wQ5yPfuBJhqy5CBnv7BXGj7ZQIkzqUFCc2Mli3MPdVKVj1+oI26+9vOnRJJULJfCemSkh+NpsNjcb3L3zvtzf/NgAYAROQFh1vRILVehAh5EntGHQOKlUJv3bxm/ckXcMuFa/AOuMtS7A62jNgATm31aqSEFcoeGwVFQWLbMASYnCQHRarDKHI9am7PpUqpf7h+D+oPmkTMo/V6Z7T1gsikzuRYLlMrqTLqHbtk6Qb1Vie2xybXYLCFsLpaZ5gcV2EbpNbRLAeB94EfiytD+K112I2TcfGnaIbBT73VAq/+AUee0y0vmkTFhZQLALBIHp74QXSAKkxIBjEpI093Tr7RtLF5ldI8mBZLPB4WPs8u24A9KyQw0WMMtBSWqfRmSgmMLgZcTVasXMn5uZkFu3Dh9HTA59AxhgXEaxMBocOie3kyiZ3RsFi5cWLwMtAK/OARW8p1sTKpdCABcAAUM3+cwDAOcc+t6UsigpOAQFgJ+ADAvD1Nm6UghUOw+VSUbAiEcG6Ugvh5cvYuJG0AADYhtJJ+LSqBGtkRCmjgcHwML5Nwf4mIDsi9lH+w4XLzL+DWXHKaLGIfN7ea5de6cy3F4LFwNd2ldBuR70uDMDTaXReizeU468TpATrh4AJuA9AWwRLUiJUdLhvAEZcKKlNyIDktCoMwYJYwdIDG4FzfA6WigeLTRllFCyrFa+yWTI+m4/oc/+3fxOJ6GzKKIOR1REsUSNhSwUry0QntODO6znvuX0FKxgMeHT+juaPrZUHC62yRsu9XT+f+8UjGx9h/98FRETHGzGpQaRgKbWRSbsEFaOwao3as9e+8+fhNkjD+uEtSbAY/2ObBCvvslobykp1sei2qhEsQsqoBAYDfD4sKPdQiAfq6DS6b/2Pb33m9c9MzR7Go4/iy19Wmb/6B7984n//fC9X3mrQjamuKcN5PkVTqUToNrtTDoMqwWpQ1lq+1BQAmwqWcMcUlgiZ8M5kEh6zJ1kUfF5G4Gng74FxiPDcc4kOi3SA3bZtuHSJIaPf+x7uu0/alqXXY3wcFy4AKyvw+UABXvLl+8oKNujZ062zZyhNVdh9iESwIKgS8useIAGapo8vH7+1/1bhnTutndF8FF1+FOJQljf1euzZgyNHxLd+4xt4z3tEt4hLLS++iLvvFhejVEqE1aJZb+7pQTgM+hPAXyhvNE1YDdZcRbwlC+uDDMQ2rIP12+8aER/AJ4BdgA4YhWXRMtBP3SgFKxLBHXeoE6zt21EqIR4XCT8i/P/svXd8HPd9LXpmey8AdrHoRGEBQYJdYlOXrGbJkmyHkm1Jznt25MS2krznfHITx9f5JHm2k6d3byJf38RKbmTJVLNqIsuyTEmUJbEDpEgCRO9tUbZge9/3x8xO/c3MggSZ2JfnL3JnASyJ3Zkz55zv+Z47h85O2R/RAd0AKvOKOeXNm/GZzyi8TLMZ934BxQeBfxYf2mdoO5JhPt58ARgApqdRV2ezU+Jr5AS3TlGdYF1CmTtUc+7fA/689OfS2WQ+Pn92/qzUIsxkBBktAEuJJUKcZQhYC9SbgQplduDzseUwkptFfgYLTM69nCnCsfBYm7UNFwDhzZ1czl2EcCrMWYQeIAMsl5XBAnBt/bVn588yO1hUCRZdXqrGnlZzW075CtbExJSLqneUlFXJIsJsFouLqOVptXT4Se77vbvRtNnazA1D0C5h+QpWDJCpARBmrACZQcJIBC/1vtSq9+7QqoWKVhW/kQSLWqLgUdtCWELcYbLl5X3ERMLtyCtYhISWUSnKjmHRaHY1P3nnkw+9+lB8tB9Hj6KtDZ/+NJ5/XsSHolG8OLk3kLHv34/du/HkkxifSfbV97G1e5CpaQBtEdp0sgSrAMQ0VKWGO166xrMZLL8fRqOAB9BPcRqd8WxcsDv9a0BCqGClUnj99SV9VrzAzmpFXR0dOH/uOcH8IAvGJaQVLADVZJdwbg4thZKCZXYtu0wcgZJksMBrauAIlgsIoT/Q7za5RU2JTM49pUGNU0KgBBC7hMkkXntNbHwKlYBnn8WjogYW+ZA7rWAZDNhlQfED4GsKr4WB2CIsFgkNV8IY1uHQ1hurhCbdUYB2TVtgm7GtadJfRoK1bx+mp5Ei761bWIDXi44O9PbKKFiJBKameDOZEnSg0g9rTFHBqqrCU8QF5hwOHoTuceCfxZLqLvv6HizQ/+fiGvepKTQ0EIbtxxkFK5FAMkl8w/JQe9nK3H8FxIF7S38tXdCe+eSZr/77V6UKFrFlVNYirACoSh6BIkBwWRVZhCJOsw3F00gkYLWqKFgjwZENUxuwHqIR4Bo7WcESQTBFiJJLuFiWgmXVW9dVrjs9dxooo8x9EfBSKBaVR2j/QxSs4vj4tDnbwIbcJQrW1BRqagT5HOUqrNcbE/dbdnB/p3Pu5Wewooo3luVVYT1x9Ik/Md96JTc94zeUYNEKFnH5mBRxm9Gakx9mSSQqnHlli1CdYJU3SMjHgY4DezPVf3SPHs89h7k5PPooXngBtbW45x68/DI959PdjS2WoX/41tTsLJ54Ar292LbJ3P2rv8l0I1KKeBJrGkCH3C0a2W05UUCXMXl5w0302y4anY/P02yD7XBnQbuEFEW5TC4u5w6gBfhjgK8BvflmfteOSDZGWGDX2YmzZycn0dODO+4gvDSGYM3MMATLR865z8ygJllSsIzOZZueIVikKULwmhoWF3kKVkhQMcqCybkngUav8lZncc79jTdwzTWCOzsAa0vF1sD4OAYGcKcwmaaqYAH4rwX4H1FJX9EQTxH298NkErggEARECgV8PNV0o/GY4Am0wwKgBRVzFevWWC6jRVhXh9ZW9PcTj/v98PkUCVZvL9avL7XlEJBrRW0KmqK6+KeOdmA98IbgMbPVtTnrPjlzEtJFhJOTaGwkXCPHGYJFjxDKTeAwKN8ixArL3L8HfJt3EShd0Lpmu07NnhqxjCAkIOLldjTQCpYbKNgxp1RDIKtgFYCo8KK+DYVumM3QaJQUrGwhOxudremrYd69PBAzWFIIQu4AWoARXq28GjiXUFXBooPzagTqP0TBCkz0mSkDV7goUbBE/iAU9z3ni/k3Kxbvy/EG/r0rJFhxxVOfMKfW7G4WrSN0OHB0uKdQLNyeqlfoursc+A0kWHlQUQruMlpGAQAxm8Galk+UJ5NuV/GSpggBtLaK9wlLjktz8H/bW/sz4zAAmM34/Ofx5psYHsYdd+Dv/x719fjGN06/Nr7d0AOHQ6PB/v348Y9xtG8cN/8kTOHGRjz4IP793xEIyFqEIatGVsEKA/q41WcXHK+txcwMq2DxE+684wC/a5TFE0Lv5uDB4EP3OY1ODSV5g3V24ty555/H5z/PXxjIgYlpzc0xMSYZBcvvR+VyiWCZnBEjMDSEQgHLy+KVvAB4ChYXgncDIUHFKAuP1bOUWEISWFunuBAHu3ejq4t3C/rss3jkEfGT6Nb4OAA88wwOHJCQAbMZRiNI70JawcI5bE+hZ7/CC+EgVrAIBe0CgnX2LDwVeV+AZ9IVgRMlxtyC6vnq9lb7RSpYQ8D/CShsxVxcZBQqmZw7TZg7OnChB5gUbBNnIFrVK30JE5gykModLg5/IFxgAMBu3x+rODJ1BFIFa3oa9fWEPu5xrmVUKeFOY0UKVhll7oyFeASYAQ7wnlrSw7vnuj/V+qmXLrwkWHhMJFjxRbGClQWmgFZAC+hSGFOSTWQzWBHAKtzN0glNH9x2ADDrzMVikXHihJhcnqy112pPaqUESy6DJQJBwfoEMAOkk5UUHMGylUGwqtTL2letzH0lCtakf6BBz9MPJQoWv2WUhkIG68jkkTrKuWaJZ3p4xBYhMYOlXuNOQ5hzJypY/3bu8Lf2fouSc3wuG34DCVYQRUexqMH4eFkEK27WWtPyU87JpNutELMpm2CpWYTS45UnzqeRF1SzeDz4+tdx5AiOHYPP1/VM786lX/Kzt3lNrPqaD7yfwodP4qab8MQTePppcjbXbXKHTFAiWMWQtd4tJlizs/Ox+Wobo2BJCRZ5kFCEQAAffhi4aTe5a2TLFpw7J+oX5YOzCGmCJaNgxcdQ1DMpDYfRsazLYXgYwSAcDuJkKatgcRYiTbB4FaMsmK7RJLC2Hp98wm5plMLpRFsbTp8GAMzN4eRJ3Hef+Eka5j64WMRPf0ogYICsS8goWH+JQ1sxXd75UVzTQCRYViCG7330vVgm9sEHuGlfBnwCNQA4GUOtsKbQsNTQ4HFpNKqN6yQcA14C7gDkvnZhAR4PNm2Si2GxFuHCGaAShG79c+eUCda5c1j0rh7Bug8YAPp4j9jt+0L2I5NH0vl0LBMT2OJEizAPzDAlWOoBLKyCgkW2CP8f4E+FJGZ5GQ5HIBkIJoN/cf1fvNjzosglLGtPzhhQW6Ij5iTGlZYG8hZ0CS1CfsKdhh1ZLzpLU4lOE7mpgelwPwFcIz5UZgZLrGA1A6fK8gdprEzB8qiXta9amftKFKypwGijjTfzIunBkipYFeaKfCFPVBZf73/9fusOgULFhtzLtwgVCJbQImxyNk1HpvmTs0nt/Hwg+eCmB2Uzy5cNv3kEiwpSqMTsLJxObr+BAuImrS0hP+KXSLgqNLEY8jKdw+VahIpNDbW1CIWEfl0gQIVCVfRWFuI3/Iu/6Kq+e+evvsd/WNVZnQAAIABJREFUIzOV9FthG8Fjj+HDDzE1hQceIHwDl8kVNhaVCFZ20dpYKTheV5ebmVpOL9NXCDmLEKoE62c/w113LSEhTrjT6Ow805VPpbBHZpF5dTV02uLMso1x+mQULN0ksqUhYafRuVxMYWhILuEOoLUVY2NMqRKrYCUXk9OR6c3V4suzx+JhLEKXEevXo6tL9h/Lj2E99xweeIDMx9uAYRw5ArMZO3YQjssNEiZzyfbpdpzE4E3KK6E5CHYR0gEsccMVYEMilPjO4e/8j5P/4/Bh3Hi7UUCwjgOl3064LtwSbtFS2tLGQiHOn8epUwovJvkJBu4BtgI3y3QNzM+jurpkARLAEqx0n8wI4fnzSgl34Nw5pNeuHsHSA18Rilg2216//tj0sdnobLWtWlAKNTWFhgaxCDELVAJG9rjaT7wcZe6ngR5AxPWjUTgc3bPd23zb9jfsD6fCgbqAaABW3SIc4s272DKYVCpxoqc3uJ+uQLCA+Douti4XwxoNjXZqOxGQtMZcdAarBThVVsKdRpOzSUtpR0Oj6hksWsG6Yhahm76vLuu5U7HZhkreh03Sg8VfRMiiyUVe+fxG/xv319wsUKjokDsv0ycXclfvwYKYYBm0Bo/VMxPhMg2nAx9sr7hRr9FfJVhlIIBiZXFkpCz5CkDcSFnj8hsAEwmNxWS3y96dr4qCpdFgzRrhU7q7sX271+pdiJPbb8NhzM9j/S0C/yCeiVsNVmzh1svX1ZGNNrfZHdLnZAnWTAL5JWudS6RgLcwMVlmqaF+PP0JYOl6yCM1uJYJ18CC+9KVAMkBWsNasORi6+4sPJBVyJ53r02ed1zPJFJmuUds8NCVPn26uT4wNEkuwaFgsqKzE6Cji8VJy342ZiZmdtTulO9WrLFVLiSUkALPy0kGAH8N65hkZeYohWArH5WJYyWzywVcexJ+iqqFcgiWwCC9cgMNBuIbbMDY91uRs+vujP/zo4+INd1oAcCep41yibsm0pIEGQZAJ1tNP4yc/UXgxgWN4+jjwJHA3cIOk46BQQDCIqipVguXzoTGHJLEpVHmEEDh/HtQdwN0KT1khvgo8zwsn2WzeUMZr9R4aOSRtGUVDg8mEXI7Xnz4u6GgoyyIsX8EqM+T+PeBbEttreRkOR/dc987anRRFHdh04LjhuKqCJbYIh3jzLq4CZsmzCzRkLUISwQo1YVPpTlkuhjUaGt0zuwe7CFe2ClMFscydj1QuVSgW+Ksy0AwEV6BggRWxVBWsxStLsPSARV5IFmIqH2yo3cD9XWIRShUsyGwkPOM/o9foNzUIFSxJyJ22CEXtkBwBWwnBgnCQcDw8PpI402rdBkhaRi4/fgMJ1iJQVW5HA4CYvmiLylo8dA2DgksYj5ehYDmdMBjk99QD0pz7yZPYtUuBYHV3Y9s2QQs6gFgmZtVbsRX8QUIi3CZ3SJuVDbkPLMBZsNoowfHa2rnFUTqAVShgdFS8hohvEQpC7nyMjGBkBLfdRlc8S48XitRLOPCFTtliSQBbGoLnzKUMBalrNJ+HJwJTB/eIw+SMZKIYGSEm3Gm0teH4cVRUlDLFbgRmA1J/EGxNQxKwKPS1M7juOnz0EYrdpxGLYb9MTqoV+UG89hoeekjmu8hYhJbzltbhVnxFYdBQ8iV8gsXfkMOHDRMzE5/b+LnO4qMmd8DrhYBAHeMUrEAyMOeZwxhX5S9Ab6/ymJhhFN305eGvgD8AruPy/gCwtASnE3o9WlowP0+8H6AVLgA7K+CXfhJnZkBRzEJyGZw9i8bPAX+g8JQVoh64AXiu9FebDbHY/sb9L194WdwyWmpjtNl4/zhe2YQ0y0KAD1gsLaRSBWnfsz/mZx0TjwcuP3AE+IrkayMROBxds107a3cCONBx4NXMq3yCxbsgMliIL9CJAg6DPAWrElhQKgiUDbkHCaHyhTq0l9iRnII1EhrZNLpJMHBTAl3mzq8EkyKYDIrncujNAWqLCPlgtj6rFo0ulixCNYK1Ok3uKDuGtbQ04USjlxcQWRZWZgATE+KxGdA5d0kM67W+1+5vv1+sUNEWYSLBUmqjEWazWOYoqwcLBILFj2H9t2P/7eYNO1NxPfMdrypYyqBCVLGiWD7BimsL1qj8Vr5EAhZLRQUxYQyU04NFQ80lFItc3d3YsUOBYInLvgEA8WzcarBiDRADFNftuEyusDYr+9EcC6JSZ7VCZBEuhKbpEcKJCXg84n84f1uOrIJ18CAeegg6XTAZFHc0AADefRf17vj64DHpIRabK2fPFUu2HckinJ9HuxEU7w3gMrnCbfU4cUJOwQKwdi2OHeMddyM+Hxc1YNFgahqSgBm47jp8/LHCPrC6OlitGHrybXz5y7LzYGuxdAzXXCMvV8iUuW//8fZ3H3oXZoUuUjGsems8W/q9iipGWdjg9/t31e3qTP5hpPbf4tk4+9ulYhRGAWYxI4LJ4KJvESMyCtaFC0oEqwBnACdDJf/9G8C3gZsAll3T8hQArRbr1qGvT/o9WILVbsSw9Jdw7hy2bJE8yiEcRiiE5lWvbv59nktotyMW29uw94PxDwQjhNEoikX6EiFI0qyoBAuAbiVl7hKCpdfo3WY3e56pqsLDIRS/Lm4xABiC1T3bvaN2B4CdtTsnPZPpgTT/OJ9gJXPJbD5rNwgvfXwFq1qPgJIpVVWFcLhU0swnWGHxFR3AnA8tpcuogoJV11cnDWDRUM25h1IhbhEhDTPgK3eEkAaz9dkOKMXPSj1YV0zBQtkxrMnJ6Up9g4P3vowI+E2xSF4/QNyW80b/G/dtuE9MsDzAQhE2G19CkLqEZa3KAblrlB4kDCaDz51/7v6ttzDHpbcIlxm/eQSr8OVC9slsmSVYAGK5hLWolw0KJpMwmxUUrLIsQgBtbaoESzBoqEawTp9m9mjxEc/EbQYbKKATOEv6shLcZneISsl+NCejqDGJCVZtLdtDLR0hBODzYXER+TxpipDF88/TLVCLCbKCdfAgvnTjNH9hjhRbbCPn4qXfLinkPjeHNo1ga4rD6Ii01OHECYVOobVrcfw4d7zgKuSDeekIIfg1DWbA54PLJVciQGP/3sLHbyyJ+0X5aINmVN4fhIxF2IWqwapz95yTO06EWW9mFKxiER9+SCZYVgQWAtfWXdt3qnrrteF/6vonlkBpujXYyu1VXUosLdcuY5SkYC0vY2ZGSVibREiDaIEXCvoK8P8BtwEnAQg7NUguYTKJbJa552zM4RPpJbWnRznh3tODjg61HoSLwC1AAqAr0mw2RKP7G/fnCjmBRTg5yV6FBIPk45xFODMDQYG+HMofJJQQLAhXPut0uANYJsmaiEQWzYVIOtLiYuIX+6/br53TsqX/Ze3J4WewaowIK11iNBpUVpZeL70Hh0aQYBEuUsjpgAlAXsEaC47Zz9qlI4Q0au21KgQrGSI0y7SsIIMFYFvNtpHQSNQYLSuDVcYU4eqE3FG2gjUxMeEoNDpLGStaNeS1y/r9cDgIl8UmpziDNRwcDiaD19ZdC5cLiQQ3bu0BgoBDwGWlBEtQNLoSgsVuy/nRqR99tv2zTV43o41dzWCVBSNWkMGig+FyClUiAbNZWcEqi2CtSMFaWEAigeZmxooigahgMRYhoOoSuk3uEFKyFqE/hQa7lGDNpwNsCZaUYOl0qKjAwoK8gnXiBDQa+nUHEoQMVjyOn/8cBx41KROs9kLvaNTDFE+6gbhgrwuA2Vk05QSRZ6fJGWnw4uxZZQXr3Dnu+ChGvWkv4XzKWoSJ0syaagzL2XPEfKvCO3JOB0ca95F6vxgQFarv4tdf+LXerEeJ3crraBy4Hqzz51FZKS7lAgCEdWFLxlJrbTxyBH/3e3f/3ZG/i9V7aYKlPaXlOyyBRCDeEMcoScHq60NHh4KCletFXx7r1ws52AHgfwH3AIeBhQVGngKITQ2swgWgIowjUpJRxgihYkDrYkHxRCybDfH4uop1XqtXYBHy5CmBDjHOECz6pF/WHXX5g4SSkDtEMaxRWDTwEyWZSKSrME0HsOgHDmw7MOOYKY4xKpTIYCEQrCQwz+lzaLAiplJvwF1W1ULusRjmfMzWZ6KCtZRY2hDcQFVQco6e6iBhMBkUjBDSaFOsqJVAr9Fvr9l+Onq63AzWlZkiRLkKVm5ibFGX4d7J5QWwQOoafa3vtc+s/4yG0oCi4PFwOXcdYCvAKsjJV1eLmxoummDR23JSudQ/nvrHP97zx9zxqwSrTAwPixNCcohn4haTXVahSiToDJYCASvLIlTLuQsI2KlT2LkTFCWnYAWDCAYJFCeRTVgNJYKlqGBZ9dZMMZdNyHw0A3m0VFgsEoJViHotHpBGCGnQg4SyBIvXvhBIBqTc5Y03sG8fPNe348IF2blNwDA/1VYdZfwiCvCKXcKFCdhzAO/W32l0hmvcyOUUCFZbG3I5TjHpSnZVZ8knTrPOrNPoCokCY6OoxbD2Df3kYyi1VB18ASEnzArXSKlCdQLoxZFPHTHpTAD0ejidyjE/BiadKZvP5ot5WX8QGM+NN+uau7uxZg32rdtwfdP1T7lGaIVKe1JAsEKpUKYpQ85g9fZi504YDHITIktHMOfAmjUSDnYX8DLwIPCeRUCwLlwQfQfWH0QMujQ+GoIYahbh2bOXh2ABeBR4C1gEdDrodFQq9Tsdv9Ph5QUDp6bYUSsiwRKty1VC+QqW241YjJeoB0QE6z2cdmORGDBYXu5OjdH+II32qvYZ70zfCca6FV2eCHtyRoBmXvVDtR5UpXK9BxfDEhEsCQWMRLBYXyJYJAVrNDR6Z+BOOfkKQI29RrlrNJwKC0YIaTwJPEp6tjz2Nuw9Gj6qRLAKQLisolHxbfCloDwFa27qgkdj02lK++XK6GigIQ25M/4gDZFC5czALHj3e72C4/k8UqmSpqlc0yBR+eiQ+zNnn7mm7pr2qnaOYF21CMvB8jKyWYU0swDxbNxmcihnrBQsQvVlzzTUFKzmZkxOlkhFSZ7yWr3EmoZTp7BjB8HXiGfjjIK1RUXBoijKpbWGSFUxALCswXqv+KNrMMy7dL6iFfIEix4kJE8R5nJ45RV84Qv034gKFkPArFb4fErVrLOznetSZ1kGKYlhpfuw7Ba8eZ0m57LHDkCBYLW2QqPhjh+NHXUmZT9sHqsnH89zCpZC3WgwuKn7maWMQyGMdPAgDO2E1bkc6BA7Pyn4XeDPES1G6SZ3KC3UEYPJucsl3IGh9FC9tp49/p3rv/NE+nBydgJFaLvEChbdNklQsC5cwMaNwqCyAPHTSDXJHL8e+AXw/I2YuY15ZNMmooLFEKxRUC3QG4QsNJvF0BDa22X/I9Q7HC4BbuAB4F8BMEbPD+/84bV1vMs7T8HijKCVlmDRKF/BoihUVCg1NbyLgQYZph6JdEcHdtQIekSM6429x3tLxwUEi9AyOijcSVoBGHyE+XseyAoWKeQeiyG8RknBGgmN7JnZQ0y40ygng0VQsBzltoyy2Nuw98OFD5GWH00IAE5Aq06gVq1oFOUqWJMLQw0m3p1n2QqWz+YLpULsnOZcbG4gMHBTc+kUJOoStSdhEMS4RASMXlLCXARXGHKvd9TPx+afOPrEt/Z+izteKPBj9VcGv5EEa2xMU6Y/CNpWs7qUM1arEHInlrXzYDLB4yldokoBK4/FQ1SwiAEs0P8WWsHqAIYB+eFIAC69PZwhxSwXFgAXwSIE5tx6X4LpaJDqZyjpLOQpwnfeQVsbGyeWZrDm53HyJO6lF58xdaIy8PsFxyUxrOIIEsK5MYfREXFbACWCZTajro7LYL0bftcUM8k9ucpSVUwWGYLV3o5wWJbdvPii5s7bd++hjskE90+fRiyGimuEA3QimEwwm7l34TFgAPgyktkkOzRefs7drDcn0jF89BFuuIH4hPOJ8z742ArSzurO3ZVbfmw4jxEUTUW+NLiUWDK0GjCDSiezOI+DGsGihqBTOL4DuPMJHL4J/wQAaGpCMCg6UXJ7jUaBZomL2N+PNWsUboCKRfT2KluIl4bfB34MFGSSMryads7omQE8zAW7rBp3GpdW5s4RrAJwGDMbZPbLRyKnFs/uqtvFf2zNzjXhnjC9e1REsObj84SOBhHB0npV1xEyx/kZLFLIPRZDfB1zY0lUsEaCIx3jHXIJd5RnERIzAyvFnvo9x2YUBwkDpeoHtYzValqE5SlYk5GpRhePQElKsORGXzWUps5ex1L5N/rfuHvt3XpNKc4pIlDWOHSCThPRcYEfrbDsGeImdwA6ja7GXlNprtzfuB8swYpGYbWKJ/MvM34jCdboKFVmwh10d5RNnkAlEnTIXfF4GT+mthbhsGzmCQBf5OIpWESCRQxggf630AqWEVjLm8YiwW10hrIkgjU4CL0HLlit4te7YEV1JJ9OY3aWPHhF+0Rki1DYzh5MBkVFoy++iHvvLf1ndnbirLzHOTu7ZY+FI1gSBcs4jbzwE+40OpcNRVitCgQLwNq1zPHFxOJceo7SU3JnQI/Fw2WwKAp798q6hM8+i0cfVXARn30WDz/MVGEpga9QfR/4M8CAZC5JW4RYSc7dqrfG+8+jqorYX5Av5nsTve5cxfHjXK3Ef73+O/9vy1zmSKZwjSDnFUqFXHYXakBNcUVoDHp70dEBn0+Oejr9cO9WIGBA9iy+dwRPAD8ANBq0t4tcQs4iHAVaJH3vagGssTG4XORVB6uDHYAHeFvmMkhUsMYFJVirr2BBsWv0LFAB3RqSgpXJzJvz6UKmySn4aFVuqtywvOHXE79GORbhkHDpewVQdCsrWFzXqHKTOxCNotAERIElsoI1szBTPVWNrbI/S7VrNJwKi6cILwpVlqpqW3XWkpV1CRd5BOvKrMpBuQrWdGqhoVrY0SBRsOSs7SZXE9uPIPAHISFQpqio/FeqYAkI1koyWAA6qzu/ff236T+bzcjnkQlEr7A/iP8dCFYsE7PZKy/aIixXwdJo0Nxc1sKc2VnkcvQ7VIFgEfu+mcA+jS0qMSyX0RnOk8TnoSFQbrig1UKvF2gSc8aMbyk1OorGRvLyXE7BSoaKfD8rEsEvf4nPf57+W6FYCKfContBAQFjNg6SkE4jGu3c7xAQLOEV2r4InbCp2WlyLmciePFF5dmHv/kb3H47ABydOrq7fje9LYcIj9WjSWm4xSxyBKq/H1NTuPXWffvILmI2ixdfxCOPAG2KFiF4CtUIcAJ4GIBAwVqRRZjsl93Q17vQa3aZC2GdzcbpeVs33LhrBv3/diG/S+BqMBfRFolLGIkgFEKTnAUIxGFLofE6RYK1sIDNNnwEPAf8KdAhXpjDhdzHgBbJoGEZHe6Xyx9kQa8mJCZpiCH3ca4EawUEa7UUrPeAW6RdpACASORUi4luwBKgDR3LHS/1vASpglVaq8VBahHmHKoKFmcRKhaNRqOwO5h0hMvkkq7K0Z7RJtYlIKtKq+97Xi0FC8C+hn1xY1yWYC2VCNZ/tpqGeHzSlG708U6vZWx6ZsEOEoZT4RPTJ25vu507JiJQ+hCKgpSPyEIUxKVWaBEC+LcH/+2edfcInjJzpRcR4n8HghXPxq3OKuUQu4JFWG7IHdIuUZnjdMIdAGDRW3QaXTQj+BQuLiIWI/MEziKEOsFym9whIsEaHETWTkccLBZOxErn0ylNwTUbGhggB7BQIlh6jd6oM8ayvM/9q6/i5pvZLcvBZNBhdPAb0vv7MTvLi1wrWIRzc/D5amopiirxCUnXqGcZVuGF02l0RtIRfPrTxEWELPbsYS7YzI5neYJVZanSprVcV5AcgXr2WXzpS9Bqr7kGPT0EBfPtt7FuHVpaylOwaIL1JPAVRjxjlj0DWIlFaNFb4sN92LSJePTkzMnW+tZ0UHicor47WKM5oU3sFPwbAolApbmSEMO6cAHt7UzJJ+kKmu/HMLC+XZFg+f3w+VADfAh8DJz/v3FeUIXFKVgjJIKllmA/e1Y5Ab8aeBDoArRtZIIltQjHOAVrBSH3FSlYEgJV56ibjc4WigW8C9xKbHIAIpGuRp0ogAUALXDPu9+48EYmnxFFhMl7ckQKVtoMP7mJhoYg5M5e/wKEDBaT0doGnCFbhL4eH7VHqZCjwlQRz8YVytzFe3IuAXsa9oR0IVmLcLEk31itV45gyex1FWBiYrLa1ODkvS9JCpa0ZZQGO0j488Gf39R8E+O30BBNCWqDyAn+q6UWoYBgKStYajaqw4GIP3FVwSoLY2Mrswht7mqyQpXPI5+HwaBgEZZb0wD1GBZThXX6NF+eksawaPmK2NzDWYQoo6nBWhlCknCgfwR5HW1p82uC52PzXq2DmpuTC2BBoWv0Zz9j4+0geQcvvYQvfIFHfpqbEQwiTMrgl9Y8b95c4mBCizCXQ30GTmFGzWki9+LIgdnxLE+wfHpfXpvnPh+7dqGvT3yqKxRw8CBdb2U2o7MTJ0+Kv8+zz5bqr9YAc+K+CQFohSoKPAf8PvMYs+yZd7wcWA3WxNggOjqIR0/OnFy3Zl1+WXx8m6mjbantGc0z/AeZadAWiAcJ6QAWgJoaIoHy/xrTFphMChYirwfLDfwKKFbjhQf4yUKuJ2uUIVgXLvAmAc7LqnQ0enrkSObqwQg8DCzcLz7FBwIwmVhJhmgRlluChUstczdqjU6TczG0iGPAjbIEq7s6zx8hZGAGVUldr73+0OghkYIlrmmIAlGA3wqiA4w5TCl9MJnLajaLXA4mEwDkgbj4og42o0UTLIlFmM6nN45utO5XWk9LUVS1tVqhzJ1c03BR2Nuwd56aVyJY5WWwLBakUgoj1ytBTRkEa3JyyqVplCdY4TAoSpaosIOEr/e/fv+G+wXHRFOCmiWkBd9F1iJMAjpAB1k4HKqL6B0ORBZSVxWssjAysjKL0OquJhOokjxVUaFc41DeTypTwRIGrKQu4alT2LVL8sUA2CZ3GjTBku9JdlkrQxQpBt/vhz0PChAqWP6Y32eqwsyMdAshC/62HAHBOnOGv71ZuohQeBzQaLBpE86fJ/yM2Vn6srNlSymmJbzxmp9DI6AVvgEcRgex2ZmIbCF7eu70rrpdSgSL8mUMPDZkNGLbNpw4IXjS++8zi4gBkESuYBDvvYfPfQ4AoAPqgTH5l0UrVE8DtwGl7PNFK1iJqVEFBWtTyyZNQnLcdF2+Ifh3Z/4umWN4eSqXyhVyNoONtgjJBEtGoVo+iVgd87LJClYigXyeO+VZgZ8lEQ3hLi4azChYBWASWAOXCzYbpujKzGAQsZjyopnL2NHAx9eAiZsREt7MCP0/TqcYZwhWsbgSi/DSytwBNDgawofD2AC4ZQjW8nK3O0WwCAG04kvWL73wyav5vOBuczG+6LHyFKxBoA0Q3Rk6cpgh3eaVwLx9+AGsZcBOuDQxV9ytZAVrLDS2e2a3ZrfKFU25azSUIhWNXhQ2Vm0M68OhRZnzS4BnESpOEVKU4Cx9SfACQUBpdxEwMTFpzjQ4hTXuTv5xpc8cvS0nmUu+O/ruXWvvEhwTEai8HymB7We1AuD+M8rdkwM2Y6Vw81oiWFcVLFWk01hYoMo8MWULWQCGCg+ZQJXkqVUIuaMsBWtkRJ1gdXeTA1hgm9xpVAJOpQu22+4NayTvuUIBE8uoYH7v/EFCf8xfbfNhdlauowFAZSUSCaRScJt4TQ3hMJJJWnaisZRYEu3J6e/Hhg0QQC7nPjurrGAtfYKoHhD+UuSanYn4xP9Ji7vFaXQqECyv1psyCK0EKYF69lk8+ij/uCim9eKLuPNOXsha2SWsrcWcH/8T+EPuMZGCVS7B0hjjkSWiDpnIJoaDwxvWbNBnJApXZoe1drbT0/n0mafpBwLJAPN7lGaw6IQ7ZAlWoQ9YDwAOB3LEtePz81yLKI2WehgeQW0atzBhEYZgzQBuZrULl3On2ZN8R3sigelp2XfyaqIV8E7jY+E8gZA9SRWspSVYrWXfvGGFZe6krlG8B9wqdxwzgbGcBoIFKSzacEvhlrfOf2R3CO7nFhPCmgaRP0ijAphTmnauqEAshkwwphzAAsvBNgKTcOVcohuqmcEZW9YGtely5UHCVbQIKYoyuUyjEzK33Is8gqVmb63aIKEGqFSh6YmJ4YQmX2Xm3R4LpwiVCRa9Leed4Xd21e4SD0CICFZuFjHxu5//FG4vk7I/SEPNJXQ4EAlkrypY6piYoOrrizoFwZAHJrQkl7EqyVM2G7JZpEnngXJD7lCvwqqsBAqFICr45dpSgiU3Qgh+DxYNRZfQbasKmSGqHMTUFOyNqCQQrPn4vK+iETMzxBp3GnTkhs25M4/29WHDBv6lTlSClc1iclKy2qizk6xglSxCLgcvVLBiZ7EguaGR201GBBPAApRC7pQnqRPeeYsIVDyOt97Cgw+yD+zfj2PHBGK+kICpEayaGvSugQ38Ip9ENsEqWD4flpbKMgusiVyizgvSh6Rrtmtz9Wa9zWjMo11EeUPrYev59r5v/+DjH6TzafBHQaUEi69gEddUT8FWuk/wEbuQ+DXuNCgK7evwe6dwHXADCtMIBlFVxfiDNLgYllqCvacH7e3E/4PLgF1d+PVGwSOTk3yCxVwjc8Ac0ACsKOFOY0Vl7hKFqt5R7/zYiVvkjqN76fyujMwEbivsU/ZNzr16CyekxDIxAILTkSjhTqNKgyWldYQUhaoqLEwklUcIwYbgdUA7DH0GDaVhpVYA6SPpqfYpsX4mgfIg4WpNEdJwVDkmZybJx8oOuZf3lLJRo0LTp+b6G/SVFP++ZXkFClaDo2E2OvvKhVfub79ffEyweBLITCMinkfgEyyupkG5ZZQGKecuPh7KX1Ww1DE6ipYWpU8sH0xoSW5KkCdPuVzkRNAKFKyWFl6XqMxTqiIjG+7mPyLaluP3I5uVjb7GM3F2pgxQ6XN3mVxhq1YsHQwOonYj2zHDJ1gL8QVvZWN0ubC8rBQNYQdbE7FvAAAgAElEQVQJOQWrv19U9igaxhkeRmMjjEbhN+IsQCFmZ2kCunEjhoeRTgNOIAM2TpYdQETSMbsiBev49PE9DSoEqxKVcZ3wv27/fhw/zp0gXn4Z113Hr7utqkJNDVfUNDhIzxfyvkOrmoI1/hn8X4LHUrkUW9Og08HlKqvM3bKciDcQChoAnJo9tat218gYMhTsonmAqVrg+Fbv1s3Vm//1zL+C/3usAnJodJQIViyGQIA50Xo8gvNmCd5l1N3I/JnMwaQKFoBNm3ChF08AD6O4H5ut0OtlCJZaAOtKjBCy2DqNsAWneY8ICRRzjZwGqpk9jysmWJe2jrBF1+IecWMPAJhM0Eu2s3ZH+ncUa0BEKzCCm2vvT2u5b7uUWCIk3KUEy2dAWCNo0JU+xYf5qYygZVRCsIpFJBKMi0TMuRu7jeEtMr3KPNTYZMvcE9mEhtKwH7dLR1V11Zxc/HAJzD6fK0ywfGoEKzBWbxMu15IQLIXJDIPWUGWpojfkiI9pNHC7ESjNMSamkdRBePvPz8GXuyeHhloMy+FAJFwQrNK8IvjNI1g+Hx5+uNzIH9NrIKdg8eQpuRjWCkLuRiOqqiR11wK0GqdHvILtwiIFS66ggUYsE+MsQqj0ubtN7pBFQyBYVWv5BIv96M5F53z2miHXrramrEIZG2FbzsAA1gtaE0Qto5LjAIDOTvT2Erbrzc3RBMtoREtLackyb1uOdhwpyXq9FSlYR6aO7G3YCygRrApUxLTCs5rbjYYGbvhRLE8BQhfxmWfwxS8KhxrXKhKs5TqkWvBZwaUokU3wKXWZLqElGE34yPtpT0yfuLb+2t5eZAzCFsQxQKdB4BMAf3XTX/3g4x9k8hnBsEILvDEEAshmgd5etLczlX10O75wi1huCski2kqVj2QXkb9okAVLoP4UCw/jFzGgBxjjqg24vnc1AnX+/OVPuLOwW7HxKH7Me0RiEUajgoT7ClpGaZSvYJFqGLb3bx9aO8Qa61IO1pUc2WlYAyLagGFc67k1hrlImtEJyC2jUovQo4FeJgJbQnU1/NM55T058ThMptKniZRz9/Z4qWvVd3orWISrmHCn4fP5lpeWaTFYDNYipO87FfNDq7nvWS3nPhmfbawSeg3CDJZcyyiLRmfj5urN9Q7Sm1ugUIXgKkBoVfNz8CsmWKoK1nLxqoKljq1bi5//fNkEKxO3GqxwOBCPE7QlHnsixrByORSLMJS/J6GtTSWGleodMQvO+lKCJecP5ov5XCEnuMFStAhdJlfIQonvfYaG4GqSU7CqbdVDjh3rapQ+zey2HK7MXRKwErWMEgJYAOx2eDyE/66SRQh+mQOvqcE0C2nSwqwzF4oF8rlMiNnobCKbaHO3AUoEy5azxXXxTF544mN35kxMoKcHd98t+irWReTNF/KgbBH+kwGmnyAmoPl8BQtlDxJaF0IJL/lSQStYPT3Im4UE6ziwK0+H2HfU7Njo2fj0J08Hk0EuktICzRiqqzE3B/T1CTRLCYGaPYxJEzMTBrmcOzciyANvYc7ALfhfrcCngF9xv/GNG9Hfj0KuwKyalsdlXJIjhd2OpkN4BTgGdAPdQL8ViXbmz93wTKJpCTh6US2jNMpXsKqqEAqJbl3azrQdXXuU/auUYHXnp3dYZEaH2oARFFK2SrfuzcE36cfILaNSBcsNWBuUq7B8Psz7i6o17pz6sA04A5fJxSlYBTSPNjuuU0/YKFiE5EWElwCD29CoaTwzd4ZwLACwJ8gy9j1fIYswm52mog3VQpocEWTMlRUsAC3uFvH8IAt+1VU0Ck9RFAgTWYQMHYqvEsGKUlczWKuMWCZm1Vuh0cBBWkfI8/+ICtYK/EEaajGs1sXjoznB29Nj8fDXESooWAxZFPw4ICy7/cBtdoeNRYKCZasnEix/zO+z+Qb1HetcSr01ZItQSKBEIXcywYJMG1Yp5A5+Dp7XNeoKQk/6bkwVlhqOTR/bXb+bCRnIEywqReWN+UBSWMzHEqiDB/E7vyOl3iwBO3wYVVUSBaUZmIZIFWcQBF4Gmn7JV6gKxUK2kDVqOW+1zEFCy9xSvJIghi/EFyLpyNqKtb290DgkBOtGIxYXabPvuzd89/sffd8f83NEmT9IyCbcaUgIVuAoQl6F4/SrUVSwgIUFfNIJ/CNwFihtdrfbUVmJ8Q8n4fEony6vqEVosyE/i98Dvgk8BjwG9D6OH25i/vwY6v4K/3UGOAiUNrNdxgyWTge7XXS68x73/qLpF+xfRSLXdGSaKhbriKoDACdgRGYKrTWeF3tepB8TdzQsAYWS7cVHJWCqLWsdoVqNO7dErhO4gApdBds1WrxQ9Fv9Tc2K0goAxa5R8iLCS4ENzdrmo1NHxY+ngCwvOW6znZ/q2vHUjn848Q/0SiLxt7liVVh+/5TX2OAW/jcKLcKZGZX37X+/47//4e4/JB8TEahqDRZkj3MK1mplsOLaqwRrlcH1GhAVKl4HA/H4ChLuNJSbGkZHW8xzo3MCyiZSsLq7ZTsaGLLIBwV0ysaw3CZ3SJ8XD/gODsLgZQkWfwB4Pj5fba0ezLeuNSu5nLRF6Da5mZA7KcEuCrnTIXgCpH3u6TTicbZfnKhgeaNwbiN8M4fRUU4M69jUMcYfhBLBQhJ5c54fjwN4BOqnP5X6gwDWrkUuh8lJPPMM6bgBqAEmpF8H/AtwL9Bo4itU9J4cfuC0LIswFrMsJxIWQhP/yZmTu2p3URTV0wO9W0Kw9mrg9VJ+P4Dd9bvXV63/cdePOaLcAoyVcu4XLogJllBYS59HrlVwnECwuBZRHmpqkMvRF3+/H9XVwGeAQUHwv6MDvb+aUa4QnZ6GXk/49pcL9DXw+0AX0AWcLAA7mT93AV2I/xo3WIELwJeZr1hByyiNFZW5iwjUHPQL+ned77LbF0QKVtds185UhdLlpw3UCDY21H008REtXYs7Goj+IOh1hB71dYSLWlWCxSlYVqARGwMbWYsw8mHkTOMZu0E9YaOw73kVRwgZ2FFH1REIFptwBwAcW6O97ZdffHTLo28Pvb31n7a+N/ae6OlXTsGam5us1IknSXkEq1DA4qLKx8pj8bBzOWKwBCqVAgCfEsFaXi7NX6+SRRhNaK9ahKsMLrREjGHxCBQxB7+CEiwayk0N3d2t252i43yCRRf8yAXMBSVYLNqBQfLznSZnVJcvxHkfzUwGMzOAm6hgzUXnauw1g4n6dRqlxnHaIuQUrKEhNDWJtBxpBotMsDZvFufcZ2fh87EDiVu24BPaA2UVrDA0BXiEA1s0HEZHOQrW0amjZRIsmMAXFwGgpQUUheefR7EoR4T37ME77+DNN3HgAOkw0SXMAT8CHhcTKP6eHBo1NWVYhD09lqqaJKmu+sTMiWvrr81mMTICswdgxc0U0AvsAOrqNKUf8Jc3/uVMdEakYDEEq7eXGSFkX5bwCmoch5nHf1agYAHYuJHeSMgdbxCcqDo60NuVVF2Scxl3PEshugbOz8Pl4o91SGM0l1HBgoRAvQfqRspisrDvZwLBitiUCFYrDFOodOk/1fqpVy+8CjpRYOVdaYn+IIAKgKpUX0cY1K+AYAHYho7pDvaGKnkkOdFOvHERo9JcKVfmvop7chjY4S14P56UbIBY5AjW4fHD9++b/snm7zx+7eO//NIvv3/r9x9787F7XrhnLMwV8KzmOkLlkPvc3KQt38Tf9JwHUhy/WVyE230Jk7ksgaI7GDzizgi+hchNEa5WBitluEqwVhmJbIJRfYgEipfBkiNgK7MI1QhW/b6mxUWGvtPwWD2BRKBQLADo7pYNYEFU486iSUYRAbSU1lrQRZZ59wijo6ivx7KGzZCyLXfJXDJXyNkN9qFg5doUqT2hBLFFSEqw8zNYfj9lMsFNvDOUKli8ABaAujoUCpif5xSs/CBGQIjuAOT1ZCKk8+lz8+e4NkW3/Hr5BCgrtZSQ9AXt3YtvfQu/+7tyP2LfPnz3u7j+epn7PCLBeh1oBraJLUD+pmcaZSlYvb1WX2M8S2gvPDVzalftrsFBNDZCY+cpWF1AB2AG6uupUpfonvo99224r9lVipc3lyzC8SyWlgTLMiQEqmoJnusUjgOQJ1ilGBYxowWaYA3qlRPsPT1XlmCJCNT0tIg96XTQ6bi9n4UC/H5+W0sZuJQy93eBW3kbCSVVWN1z3TuWDMoEyzwLux0HNh14qfclSG6iyB0NACqAgkuVYPmXzZwFGCSE3AUZLABb0TbZxipYplOmckYIoVjmvrodDQBggzll1mq0fLYEAIuMl/pq36sPvfLQq/2ddxgZPfiedff0/EHP7vrd1/zzNX/5wV8msglcSQXL7582pgX59Ahg48pj6dVWFw+WQNHsyYuyLELVolGoEyynE8tp09UpwlUGt7yPSKDULMIVK1jKFmFXl/aaHQ0NGB/nHtNr9DaDjVbdFRLukFOw5AkWAFfBEI7zUkR0hSgvQ2qxMASLDmAtLgIU5QkOyH7H0rYct7lUNCrKOwPFYjGU5AqRBwY0wuM8tLZiaUnwwSjVuLNgXMJS12i4G7Mm8r7BcgYJT8+dXl+1nuOpbiAs04afhMaiEVuEAPbtw/w8vvhFuR+xfz/m5oj+IQBm4l2MfyiViwoVqmQ2KRLbywq59/RYGlriGTHBKhaLp2ZPXVN3DbNAxsYjWMdLHlx9vYbH4F4/8PrNzTczf1kDTKPeh+m+KNavB3/QVEigcgl4MmC/Dgo1DUQSWophKR1f8ChbhFeow52F6BooLMFin8LlHf2oqFjJ9AxWXubOJ1DviwmWyELsnu3eMQel+/tWOBbhcOCutXd1z3bPx+fFGSwFizBjU9/3HDEr1zRIFazG0UZGsY7DMm3RbS1XV5EbJFz9DJYdiGFvw16xS7gEePCvZ/718bcff+fhd/YV6vlJWZPO9O3rvn3msTMDgYGNP9r4yoVX1NYVrgSKU4SzswMmSi9wWoUBrFKFzsVCTcG6+KJRtUlLux2RrPmqgrXK4FQfuYyV4hThihUsOjwUCBAOFYv0FkLpoCHrEip0uENU485CkWC5KXMozjvP0lsGeQSLPenPx+arbdVDQ1jXkuPtQyHAaoVeD226kpkilChY4XTYarDqNfrSz9QQOhpoaDTYuFFQNzo3J7pFYghWKZuZ7MGSzGeknCosQQALgAEw8JwyPhLQW/UEBevOO/G1rym4O9u24frbg5L5whLWAkPCR04D08C9ACQWYY6rcadRVsi9t9favI6+9+VjKDjkMDq8Vi+TUCcSrLo6Su4HGIBqtBowM5ET+IMQE6ypDzCnh5n3a6quxuKicKytUEAohCpSs2VHh7KCtbExNpBek1+jtC1LrSRrtaGmYImesuKOBhoXV4U1AFDAWrGCxR6fWJ4waA01i4qb2trgDsDhgFlnvnvd3a9ceIWwJ0dOwUqaVUPu/rhd0OROUrBs/JPfdtSM1ESSEQA4hYmmiSaPesKdhtwgoWBmdlVgB6IkgrWIM7kzf/3hX3/w5Q+2VG8hThHWO+pf+OwLz97/7N98+Dc/6fvhxIKc0r5CmAATICP2vb/8yQ0mYZhDSLAuVcFiCZSMguV0IpVCOo1kEhpN6Q6knJC706ncg+V0IpK3Xg25rzKYHizITwkq9mCtWMGCvIg1PAyXC1VV0kFDPsFSUbBWYhECcMMcSvD+VbSCxYs4iBSsgQGs26hTvYbX1iKyZEvn0pl8RppgF40QDgxoyAEsGqKFOZJbJJGClR9CXCZiqapgxbPx584/d33T9YJH5WJYSehtenEGC8C6dfjRjxR+SrIQ+WhP1WR8iHxYahH+PfANgNbkhAqVNINVVpl7T4+lrV1KsE7OnLym7hqwK5BtPGbJI1gahd9+CxqymJ7Xi/sRhARr/kMEhCVcej2cTuF9x9ISnE5ymmPzZlrBkjubW4bP+Yyh0QmSjAkAyGQwMiImgZcXUgVLkmDn6xArTrjTuLgqrHeZDTlyBKt7tntH7Q5e5oWEVnhKisKDmx58sedFwZ6cIjAiT7CieviVCJbbjXRel2LtOVIGKxIRKliVyFlyukkdAJzA6abTre5y19PKDRKGkqs/RUgkWIe7Dx9JHPnodz9aW7EWULIAr2+6vvux7t0tm944d+jxtx+XfqgvBvIu4aHC0K3e3YKHIpdHwaI7GCQEi6Lg8WBhgdfRgFVSsMy5SMFWaqq9cvgtJ1icRXhRCtaKaxogH8Mq+X9SAkYTrPFxGI1K9wfcv4WPOmARkKmpc2mtglgSvcaZp2BZrcwUIT1CODSEtRv1KBSUJWlmkJB2CSUKlmiEcHBQjWDxFSwSwTp7llOwdBPIyIhHyjUNyVzy3hfu3ebb9rn2zwkOyBMso8NIULDUMB4eL6LITrOL0QpM8JI0C8BbwP9R+qskgyWyCLVaVFSISj2FCIWQSFjq1kgzWCdnTl5bdy2A3l5s2gRYSwRrEsiWmjzr62UVLAAtqIpgLmortAsJltDZTJxBSqImiGNYcgEsAFVV0Grh98s+5dy5juoltjFfir4+NDdzLVxXAlYrUilOoyMl2PlR5RUn3GlcnIL1HugNOXIEq2u2a2ftTl7mhYRq6ArMCtNPtX6qf6l/NjrLNbnPARbBlZgDvTZ0TmmfMQCPPryQL7FyEsESZ7CA6MZo1WAVAJzAYe/hFrfaGsIS5AYJV3HTMwM7EMU237bh4HA0EwVQKBa+8YtvBCeDX771y1zUSTFjpaW092y66baG+8/Nn3v+/POr8Kpkcu7FYvGQdf62tk8JHhUuIhRGZFcOrxeLiygWmTebxCJEiYNx/iDKI1hOp0rIHZEIdaX9QfzWEywVi1CYwSKG4FesYLW2khWskv8nJWD0thzlABbkQu5aoAaQ6VVw62yhDE/UoRWsZUinCJkSLHrNs1qUmh0kDE30w2oVJdiXEkv8ltGhIa1sBgsSBatU486iowODg8gYgCIQh3UeVJv4e9BQmCLM5DOffemzNbaap+55ihKtB5YnWGa7mZDBUsN4eLzWXitLsIyAF2AXlP1P4ADPEKmthd/P7hXhb3oG7ylKv5zz57Fpk9Vgk1OwUilMT2PtWp5FeBxgXVNeyJ2AZuim4KQiiz6h/Wa1gqLYO0jtMHSSBlAxwZILWNHo6Eie7svlZK74589vWpcptWURcEUbsGhQFMxmLklDIlB8I+giCdZFrCPMA79myrfqHfVTkSnRcdAJd88W5HLKJ7tpA6qWAUCv0d+/4X6j1sjJq3L+II1KCoEiYWcDDz59wJ92My84QQg1C3qwAADJzcm64ToAxRPFD6o/qLWXK63IZrBWvabBCqRggGGbb9uJ6RPZQvb33v69noWeeyvvtdXy/jFqIXabDemE4as7vvrW0Fur8KpkYli9i73mTKG1RXgRElqEkgTHCqHXw2ZDKCSnYKFEsARy6mqE3K3ZcBpGyUKvy47fdoLF78Fa+RThxShYcl2jJQIlJVi0gqUcwIJcyB1KLqFb7whlSm+7eByhECrqoQFK8+MsweIyWOtKBEoe3LacwbPSAoZAklOw4nEEg4rXElrBYk++vJZRGmYz1qzBwABQDUzBFoNNhq7J9WDlCrkDrxywGqw/ue8nGkryhpcnWBaHhWARqmE8PH7/hvsT2cS5eUmHKg3WJcwATwHf5B0yGGC3s16adIoQqjn3nh50dFj0FhHByuQzPQs922u2X7iAtjbodEKCxdoCdXUaHsMTowUYytcXp6Y1En+L19Tg9KNyr/i4OOeuoGAB2LRp/sS47PHz5zuusSoQrCsdwKKhplCtgoKltqmXA0uguoE6oAYAGpwNrILlcCCbRSqFYrHYPdu9075eNZ4ypoG7dAY9sOmAz8a70sol3GlUArZGcjK1hGpqwZ9wAEAIcBCuS+KQO1DYUmgab8IU8pk8tYYifLRlUGMnryNc/ZA7BViAOPY27H1/7P0HXnogmom+/aW39UG9oJG1DIIVi+GOtjsOjx0uZ1mFCmTeRYdGfnXbcFH8qZQQrEtSsCBUqFxAGhA2ZtCDhitWsNQIFhWN2DSJVds4VDZ+2wlWJq7Ug7XqRaOQsQgLBZw5g23bALS0YHxccDtHE6yLVLCgRLBcRmc4V/roDg6itRXLGr78zlewvJbq4WG0tZUIlDxoEcVtcgfHCRWi/AxWfz/a2goKmw3hcqGyEmOlMWaSyc/l3I9h0QifXN00KYOVL+Yffv3hXCH33APP6TSkxI8cwUrA5rRdnEXY7G5+cNODL/S8QH4GS7BeAjoBEV/kuYTSDBZUc+69vTTBEk0Rnp0/u7ZyrUVvYfxBANYSwTrGI1hGY9Ful10o3QpcSNXZIzNzkt9oSaHK59GQRP0t4uPiqixlgtXRsXDOT1a4ikX09HTcVvufS8ECT6HK5bC0JL3TXwUFq3YlChY9Rfgu4w8CqLPXzURm2K7RqiosLWEsPGbRW7xZxY4GAMBQEbbSb/DmNTe//+j7vGOKClYF4GxWaWoozs3HbQA54Q6SRajbrls3sQ4nsNS5VH4ACwoW4aorWOAGCX/w8Q+cRufBew+adWZ+DxagTrBoal5prtxcvfmD8Q8u9SXJWISH+t66bdEOvbCgOLLaBIsmUKxCVUUeJBQoWGU2uSuG3BGJOHQJRQ52WfBbTrC49nO5ItGSQmU0QqcT75W5mJA70SIcGIDXi4oKABYLXC7B3bzX6l2ML50+ra5gEaYIAayRV7DM7lCh9E+SdDSAr2DF5zWRJpcLdru6gsVZhDMj0hIsfgarvx/r1ilZAwDPJUylkExKK7O4nPsxjGtlU5bSKcJCsfCVf/9KIBF4+fMvG7QyM/HyCpbNZQskAkU5OUcG4+HxNa41D2568KWel8hfyzY1/LDUzsAHzwKUZrCgahH29GDTJqmCdWL6BJ1w55bc0ApWGjgP8N54hdpa2YXlLcCkrr46SzheIljjp2GgYF4jPs4fwAbUCdZ8f4h8fHISFsuG3a7hYWSJS4f+AwkWfZmcnYXXK83v8y+jVy6D9R5HsCx6i0VvYbc/0U/pnuveWbtTJeEOAOjLwFx641EU1ejkqZjKFmEFYG9SaWoozPkjFoAcwAJJwbKstRiyBvw7RteNlh/AwpWsaQCTc7+5+eYf3vXDZ+9/lpmtFja5qxaJsu+cu9be9dbgJbuEJIswnU8fmTtxc07yphRmsObnL80iBE/Bot9vMlVYKw65qylYWF52GFJXCdYqQ73JnWcBSgcJk8mVR2Xr6yHqEgUgZE+trRjmjZJ5LJ6JcS29+1gB5JA7gCZgnPwlLktFqFC60A4PY+1akeTLEqy56FzcX7uWPkuqZbA4i3BxkqhgsQRrYABr15ZBsOi6UdrhF2Wk+Dn3oxjMyX7CRQpWsVj85tvfHAwMvnbgNanRxkGeYOksOoveEk6XVWDIgiZYW6q3WPSWEzMnCM+gmxqOAMvA7ZKjvMA4MYOlUube24uODoPWUEQxW+AIyImZE3TCvaenRLDootFPgHWC81dRgV57gAxa60wKBGvmffhJV2rxy5brYKDR0bE4kSAfP38emzebTGhsxBBpUnNpCcnkRZUgXCLYOSaZDgb2eC6HQOCiLlTlZ7BMJuj1mI/gFHAD97A0584k3KX8RYhsFkNF6MZlDqsqWOY6FQUrOzUfNgLkTc+Q1jQALrPrbPVZvIIzDWdWRLAqzZXRdFRU5h7LxPQaPX/v5+rAAURgM9i+vuvrjIlZBIK8Tc9Qn4BjtM9U6tPrPv3zwZ/LPS2XQ1kZI5JFeHTqaLux3l0h2SIS4QhWOAyjceWZGRGkBIukYAkmLspZ9my1Ip1W+vdHIk5T+irBWmWo7CIUWoDSp1yMRajVorGR87xoCP0/kcjltXpnB2qU5SvI9WBBMYNlrQqzFjfb0UBSsBbiC4HpynV0kKIMi5DuGg0t+5UJVl9feQoWS7BI8hSnYPWhLyMrfIgUrP/y3n/pnu3+5Zd+Sf5PYyFPsGBh5g9UXr8QY+Exuv38wKYDZJeQtgifBL5J+vxdioLl90OjocPjIhGL7WgQW4THBGv+ABTr6mQVLACm2fXVlQQCVspYLZ9EjLTriTBFqBByr6hY0Nd5zaSrTilgxdsKTTguYemXH6wOISNPiRQuYlmuCugyd7XPEwOPB7+Ko1MQEJZ2jXIjhIodjJEI5m2kjlwAeWCM28ZNQAVgIHb5s98hX52fnQ/oACUFS0Sw9Br9udpzSOND74etFSuwCCmK8tl883EB4bss8hVKtzF8LAMWgK+nl2cRYt++zU++VESxb6mP+LQ/+iPcfbdahwvIFuGhkUO36dYR/D+eRXipCXcaIoXKI1awLjKDRVHEOjEOkYjDnL1KsFYZHCmxWpHLiYUlYYhd6iJeTMgdpBhWVxdfwRLl4L1Wb2CkWTmABbkeLCgSLLsnpC1VOAwOMi2jvNOI0Yh8HqFEVENpJkYNDMFSswh9PiwswA1bEElpnw9/irAsi5BdmCNJuNNobEQqhagVKCDghFyiy2niahq+/f633xl+5xdf/IX6/lcFgmWGx+JZUQxrOb2cL+TpYe8vbP7Cy70v54uSEx5tEb4HENveeSF2uSlCWQWLk6dg1VtZghVOhf0xf7unPRrF4iKa6UYG2iI8DuwRfA8lixBAfqjJ4yUcL2WsigOgSK0cK6hpoI+713uzpDdhyf+TI1j/Mf4geBkrGYKlRsDKAF3mrlDSwYfHg3eLEIbhRIOECwvF03Ont9dsV+loACIRxFxAEJA2MU0CVYDCjWgFoKlSUrCi0WrTMvP2KNsiBDDYOJhblzuXPrciBQukrtHLEsACYxEKIApgQZ1gmc1Ip4r5cBTPP38ntY4oYkWjeOEFJJP4kz9Re0kki/DQ6KHb4j7C6ZdnEfr9lxzAAo9AKVqE3PsxCeiAclr6lV3C5WWHNX+VYK0yBKREqlAJM1ZSF/FiMliQVF3l8zh7Ftu3s5oUcvsAACAASURBVA+IFKwKc0V6snPrDhV5N56RmSJsAGbJ97VuR3VIwyNYkgwWAIsF44sLXEcD1C1CvR5uN3Tj2qDXLtUK2CnCfB6jo2hrUyNYbW3w+xGJYGZGbtN1ZyfGEgCQlJ/FdhgdtEX41x/+9ZsDb777yLtltdooEqwqS9WKBgnHQmPNbmZ5X6u7tc5RRwilWoAq4BGZ2WNeiD2RTUgVLKWQO28DH1/BOjlzckfNDi2l7e1Fe3uJobIES6RgKdDrRAKZ/mqDi6xg+f0ArNNwkrZgi6cI/X4lBQuYN6+pjpPqTkpLcP4zEiz6MinTIsoWjV5kyyiN8mNYVVU4ZpESrJkI88vzeDA0HXKb3FWWKmHmhYDlZdidwBpA+jtR9gdBryN0KylY0ajPHmcIGGlPDoBolMAAT24/Of230xPhCW5jZnmQdo1eRgVLRLCWJARLbRUORcGiTcd/9xt44427f3r8rW5CBczBg7j5Zvz853jnHfzLvyi+JDeQFMzuBZKBwcDgtfM6goHAi5RcassoDVbBcrkAyG3LCYdXsieHhjLBikTs1sJVgrXKiGfi3ByWlEBdDosQEgLV14e6Ov75S6RgUdDAv7Vpg9IYMxQULCNQQQ5nuBzesD4PgOn/9nqJBGtyMeC1emmFCyiJJIrh7ro65AepoIsQWQgkAjSzGRuDz1eGBKjVYuNG9PYqzKh0duJCAAAKa2S/jU1vS+VSf3vkb58799yhRw4JNtEqQH6KEOYVW4QTyxNNTq5kk+68Jjzv66R4Ow0eu03lUlIFq7oagYBM2IBLsMNqsLKDhKdmT+2q2wW+PwjABswBcbG5o6Rg9fWhOl6xrJHLYOXzqI3CdwPhS91uZgMGA1UFi6r2BiRWSDqNiQnalf7PS7Aun4KFlcSwHGswbRWxZ5GCNTgZ2lG7A0A5CpbDIbNJU7mjAUAFkHMoKVixmM+ZVFWwbJILrcal6Wrrcplc0mFbZUgHCUPJ0CpveqYhtQiXAFG4UC3kjnDYng/HPvNFdHbe/GdPnZn/JDwljh/+8z/jscfgcOC11/Dnf46PPlJ8VT6BiPX+2PvXNV5nnF0gK1g8i3AVFCzRlKBEwaqsxPIygsGVbHqmoUaw1LpILwt+mwlWsVhMZBOc6kNUsBRD7hdpEYoIlKSAQWQhDg5Cb4tkjUpTNlBQsCDrErorasOGAgAMDTHjfpLzl9WK6UDIa66bmkILLbQbjfw2JiJqa5EeQcgqDpIUi8VgMkjXNPT3SwNaMqBz7DIZLPp41xwSTrjkr0wURdkN9qe6n3r3kXerrUrqiADKGawVWoR0wp3964GOA6/3vZ7JS4r2/wyQ25zGtwhJGSytFpWVMmXuPIvQorewZe6EEUIANiADXAsIJUglBau3F2u1uknodAiLov8+H/z+0SE0F2GW4TfcIGEigUJBOVU9n3FXz54hvIC2NnpF2fr1GB9HWtgKlM+jr0+8yOcKoYwMlqKFWB7KV7CS16JxCsLZWX4VlseDybnkjpoSwVL8dTAES7roCWojhAAqgZRFWcGyOzWFAuJxck1DsYh4nECwnCbnGf/KEu40pIOEodSVsgilCpZyeAjA00/bbIgZKwGYHzhwvb7tnT/6NP+tf/w4IhHcfDMArF+Pn/4UDz2k5POLcu6HRg7d1nobmUBFLhvBYjNYwhtYjQYVFRgZWW0Fa3nZ7qCu9mCtJpK5pEFr0FIlEkCcEhRmsKQK1ipksE6f5vuDALxeZDLcJaq7G+7mUXodoQJkFSzIEiyj3a0pFBPZBLPmGYQhHZsNM0vL5tjG2loYWUGqjK7RxBgVNIgDRsvpZbPeTHci9PdLOxxkQOfY5VOUnZ14fxj/8FWVT/jXdn7tvUfe43ZQlINVtQhFBKveUd/h7Xhn5J0VvB6fD/PztHxIzGBBzsItFnHhAjGDdWr2FLuFkCMfJkAnDmBBOeTe14etDoyivl7yFK8XgcDEB4WoSTaOw8WwFhZUJmaBxZjZM35KLKPyKkT1ejQ3Y2BAcHx4GD6fMlW4bGAvk9PTRKdbbcqwPJSvYM1vRs0F0WOikPvCYnFn7U7g8itYcaNyBgs2Gx3OISpYySSMRsJYgNPoPDN3ZkUJdxrEDNYq78mhIbUIpRksZQWrWMRTT9l8NpYc3H3XH73VkMLjj7NP+fGP8dhjXDj19tvxzW/is58VR445CHPuh0YP3dZyG9m1F2awFF398uD1Yn4e8TjzKZUpcx8e5ilYq2QROiu0ylVZlwO/zQRLXH1OVLB42x/VMlplQ9QleuoUdoljKfyYVlcXatbPqBIs2ZoGyOfczWZ3CqFEAGzASnL+sljgD0WowHoBGSpjkDA6pQsiKXo8kAzwW0aVluTwQRMs+QzW5s0YGEDfvEoI4Hu3fI/Pb8oCTbCkdmiCmSK8FAULCi6hHAwGOBx0SyRRwYIcwZqchMPBtoixGayJ5QkKVIOjAeyaZxZWEsGy2aDVShQqAEBvL/bUYgqNUg6m1cLtDhxOh+VPwRzBklvjXEKhgECQ8riymBC+rYX+X0cHLggpRCmg9R8Bmw3xONJphMPECxF9HJeYwSq/zH2sFY6Tosf4BKuyqhANmbbXbAfKIlhOpwzBUlWwKoCIDqGQ7BR9NAq7nXl7BAkKllyJhNPkPD13+v9v78zj5CrrdP+c2vfqrq7qrup9yR6SEMKmgAIDBAhchBBlURZHkcsd1BkuIOo4CI53HEHREWUYBXW8nysEUISogaiAIBDCmj0k6e50eu+qrqqurn25f7xV1afOVts5Vd2d9/sHH7rf011vp7anfr/nfX4VVrBq48Gy8FqEk7wWoVYLhuEWY/O89BIYxuK25DXYpuWX/bE1nHrjb/jxjwH4/Xj2WdxYeGLm7ruxZAk+/3mRXbF87h/6PkykEqtcqwQqVJmCCpY8HiyTCRoNTKasHhQRWLOzuQrWjEwtwkDA6tDSFqGccHMNOKcESUwhKw+Qf4qwwgqWyYTGxux7YDKJPXtw8smcS9hFrrffRu/q6VIElmjiQLeIwGKYhrjKPz2KvMFKqII1Ph1KTHYvZb9KFs0adae9k6ZAMpTOFHjYp8JTLnP29aO8Ctbu3RI1aKMRHR145RU5atQcdICO9yKYBhKADk6TsywPFl9gbVm1ZduhbfzRy1LkBFQ4ERasYAlHYRX0/+YE1pvH3zyz/UwAPh/C4cLayS3AGUIbaGsTvvf37cO6FWjGmgahdY8nvieTEj+uPyewpEOwAJ8PViu0a1aAM9K5cAjOSSdx11ku/5pjtWYParS2Cp50laeCVWKY+zEgqkeK22M1a816td4X8QEIao4wYVe2bFOCwLJahVqEcWA4NylcDAdp/Dmy4fJ8QiFYLNkOslAOlqABC4Bdbx+fHS8rxp3A92D5Ij5FKlg2XgXLy6tgQbKI9Z//idtuY6932Do8ttad/3Uv7r8fL730i1/g0ksFDI0//Sn278cDDwj9TpZMz/YHAwHodNxyQhjQz53gkyFllNDSMudIFpr3TP6WuQqWSFWBi7TAmpmxO6nAkpW5GHcCx+TOK0/JdooQrArV3r3o6uK/POR98Ok03nsPq9ZGi76Ri47KAdApntQQV0/7x6QrWJP+8MyIp0BgFatgtanHxnQ9Zq2ZM1+ZHYJVRgXL4YDdjkiEhN0LsnYtBgfl+AjFpxHg1GsigBFg4DK5ym0R5k8REpwm50c6PiIRDyhA7qBgJCFawRIQWIXlqbzA2jm8kzjcSX+w4NDnv4u8eAm0AIFwGKOj6OtDL1bqhbqIbrfxuMZ8Cu/7c+s5gSU96Tn/Uk6OPrB5/32sW5f/SnC9zhUs8fIUMcFHowgGpf39kpTowdoBnB7CpMBntnwR63B4ZyZqzRaVip0izAqwbmAYYFsKjwLt4Di9uJDPMK5e0S7hzAxstsoqWADk8WApF9NQtIIF8aSGyUm88AKuv56zvmnppm2hd/Hkk7j22v96OP6FLwj8qNGI557DD3+Ibfzsd1aLMNsfFCxPFaZSk88OMtDcPPdgI2+MhX86eW2opIIl4bEKBKzNRiqw5IQ7W4bTAuQdERSsYFUusEiFSmTEYH59/3643ehssUm/kZNUbtF5L93iAiulnQ6O48iRbAWr8DkDwGyGLxidHGpcxjZSFJl4h9bQoWFNl8PoIJ+G8+QHEU5OIpMp6rRhsXat9NOXvHEqJbA4U5SIwEJ5LcLp6HQ6k+a/TF970rX/b7fIXEJBchWsSFJgFiHE7hxeBYucItw5vDOf4V7QH5RAUGAdOIClS6FWoxe9EKhgpVs8rpDWdZboby3wYElKjPFxNDfzDgqOjSGZZD8CTjqJK7B2766rwJqZkXCwk3Vi0Ko8B9UDHAdEZgTN8WfgvLTgTMm8wHpnfJfRGsseZSnRg6UF2gpfag4X6w8SHEBjn6jPfWamaAVLWGDpKxRYJMydPThZwZgGzpv6VGGMO0FMYP30p9i8GY2NXIG1bNPzh57HOee89Mkfp48dP3utsHDwePDEE7j5Zm4nPd8iTGVSrwy+cn7P+cL+V5YBKxJBMiktwkumpaXgwSYU5q5S5YoSszJVsAIBWwsVWLLCPXbHEVC8I4JyVrDyLcC33xYcMZivYL39Nk49FS6TS7pFKHWEEDkPllCuQkNa5z92CFZr9jHNe/0ymzEdjA/3mwsElliTKEerb89IwtVobOQIrPwgwjLKV4R166T7f2vXQquFs7TshfLg+9xzAqusFuGAf0Awj+fKlVe+NPAS5x9KilyFqjyTe6GAMuvM4UQ4lUm9N/YeMTIXCjBJBO/9/M/3oi0mIMCOGlYtR8awjvv9PHNRWEUzGsg6R0Dt3s0uXwFYsgTDw3PRDyRGta/sfpFMkPdAcYFlNiMSweBgFUcIAXiAFYAH+HtgOyBoasoAfwIuMwoKrA57B0lqeHvkbacrk+3alejBAs+GVdSARXAAtm7RClYoBKu1pQWTo0C4YPgda13g50hAQxlHhnMwDNNiaRkLzQk+pSpYgjEN/BcxwYOEmQweewxf+AJ//cz2M4dnhgcDg/85ceX/3LCTuenGOctvIR/5CB54AFddVWiqzLUI3zz+Zqe9021xC9szAnLHuBPYLUIIhLm3tMBqzbXZ5YtpsLlNVGDJSZEWIc9gJXiKsOxZhIQSBBZ7vdncLC2wuH8LBzNgBIRKLY0Zw/TAgWz5Kg0EBQRW0GfwT6sLOhvFskadx98LJQ0N2pbpaME/mTfiJTHuZRiwCGeeiaVSL9UbNmDFCtEY96rgtwjDWYFl1VlTmRRncLIYfAMWwaqz/l3v3z178NlS95NvEYqb3LktwlQKBw+yJa1RYwwnwrvHd3fYO2x6GzghWNIIVrD278/+/h40BQXWD8ZWNWYAcfWQC3sv7sHKrq9ahYMH52Z/FBqwAGg0WLIEBw7Mra9apcwjpBSIx0rcYKVSwWjEwYPVzUlUA38G3gfWAvdD16lT36zGc4U1rb2AGVhjQSLBP0jWZm0bDg6nM+n3x99vd+uzGkwwx5PFXIwDX2BJHyEkOABzp3QFy+1GaAho4OaGQMKDZbD3NfYxFdUDOT53X8SnlMmdf4qQ/+FC0IO1fTvsdtIA4ayrGfXFSy7euvPl7dvxmd9chakp3Hef2BZuuAEbN+L661lTdHItwmx/ECLnTpQTWJwKFk9gza2XdYpQ7JRgNAqGsbt0VGDJSZFThLz+X0MDgsGCTwKVtwhJhSoex969fIc7gM5OjI4iHi9VYBUEegkiFoXFGKfH+rPaJQiYgcLTzmp9lBk/ube38J2pmAeLObDf3ZQwRvr4FSziFS0jBItw+eV4/HGJ9ba27EAd+RFsEebud6fJWWKXcNA/2NUgHG9VXpcwJ6CiyajgmGqBFuHRo2huZr8LWXSW2cTsWyNvndaaPcEqYwXLMiGwPjG61KcLSbyilO7BylawzGY0N8+dtv3gA76DffXqOZ+70HoNIe+BkiFXFgv276+ugkVoA74EvIrEzkTmlAy+A3iAG4DngCSwA7gAQG7cYCGkgnXQe7DF3OJp0WTX88GPIohWsIrGuBOaAJ27aAUrOiqcMipWwVrXsu7zG8ROyhWB43MPxAK1CBqNA2GuSQMQaRE+8ghuvVVsfdPSTY89nrnySjQ06/DUU/j5z/HMM2K7ePBBxGL46ldzX7cAXiCFHUd3XNB7ASAyByco95wcQltbQSeC1yIsWJ+RI6YhGITdLl3hUohSZvwsVLiucE4OFq9FqFbDYkEgkD3qHo+DYdinDMuBeKz27EFfn6BG02jQ3o4jR7JDdDK66ipYALqBAYBn92qF9cuO3b/QjFofeWtZaNmPNT++/anb7Qa7XW+36q02vW339Dpm7JSlHOtMczOmp5FIQKsVvrkDB1r71JrZTq7Aisy1CM89V2q/8wjxFiGQzRrttBc/WC9WwQKwadmmW567ZXx2vKR2BtvkLtQibG6Gz4dkkvXg5JWniMk9P+N5bAwMU3KMjWAFa98+rFoFAH3QDCIa5TbQI6MtMd2IQIMnBzHZZDJgSmgRrl8PINclJB8Pdu/GbbdxrmR3EetpwEJxDxYAqxX792PzZtluM9OeSd+eVv+TGgPAk8A3gVsAHfBdAIDLhclJzn6IB4vMeLYTAZZMIh6X/ig510JcArzCWihRYDmAeHPRClZiAhDKaRGrYHU3dN9++u0l3LwAHJ+7gi1CVgWL8TFwCJToBFqEx4/jr3/F//2/+fWhoYL1C3s3Xr898F/b4oAOLS145hlccgmWLRMsU2s0eOIJnHEGTj4Z114LqIFGzAzPvD/2/jld5wDA6KhAIUD2GHfCzTcXZFLwWoQnnYS//CX3RekVLImk9kAANhs5hZJO17TIvcgrWGWZ3DmXVF6+Qi5L9E9/EuwPEvr68Pzz6OiA1Qqb3pZMJyNJbqxUHm41jo9IBeuW8KqR7zE7Vnz7l1f+8p419xichk+s+MQGzwanyRlPxY9OHw2kRxJTncs4dX6VCi6X6AvixARUqrZurWqmfTpSoE3yJveyK1h1RFJglZ41KiGwjBrjpmWbtu7dWtJ+8h4skRahWg2Xq7AcUBAhCuRM7juHd57RfobQuiT8rNFIBCMjWX9TMxDDCg/3EvWYSacqTE0oRK+H2Yzp6ZJM7lktmPe5J5M4cID/5sH2wddtSA6hmAeLXLJvnxwVLD7dwF3ALuBV4E7gUgCAy8VPRiAC6+2Rtze0biACLNv/k2y0zVW42EkNYWAKKCXTywEwTVKnCK3WlhakvWVMeq4SdtboTHxGr9GLHiGqBo7A8jICBiwIVah++lNce20+ppEvwHb9tdFkjQeadmS/PuUU3HYbfv5zsY00NeHhh/Hww7mvPXjnnXfOaD8j+wpTmxh3gkbDjp/kV7AAlkdLlqDRYBA2m0pVdOqj/CxmgcUNjuIILKE5OGwffIVzcvL09eGJJwSPEBJ6e/HEE3MCTNrnzs304tMFHBP4NmM2N86me1efva5l3Sm6U6we6zUnXXPLhlvuOuuu+8+7/wcX/+DzZ16XyYArsCDZJTxwACtWtLYiGWjhnyJ0mV3RKEZHc4N35j98gRVmVbBKHkcoIbAAXHvStaUmjrrdmJjIpFJiLULwu4S8I4ImrWkqPHV0+uia5jUoy4AFoKkJkQhrcCBw4ACWLJmrmPXilMaCLmE6jSavxhF7uehfNjqchs8n7cGaE2B5AXXoENrb+Z948uuZDN+jVVsMBqTTiEbRxD8klsViweioMgIrTx/wD7n3JKEWYbutfSgwRHrHcwJLsj8I9iW9QH9utPxhoIdrORCmEUjZRT+whUKwWs1mOICEkJASaxFWA9uDpVT5CoAJiOT+uQBmihEwYIEnsJJJ/OxnYKUv8AXYI49g46f6f//h7+e+tWoVBgYk9lKw7sG+3fuyBiyIeKxYpwjlFFgceBWsAmQxuedSSGrfJVzMAqtg0jMAnQ56/dwHAaEKFdsHX1UFC0Bvb/aIoAh9fQXr0jYsqTk5hC5gQOj7ZjPUaixZAggfgSafJQQElkTWaE5gJQIuQQ/WoUPo7RUYbTFPcQhVsMr3YEkLrAv7LjzkPTQYEInTYKPVwm6PjQ/r1DoVI/wM5R5C4Akos8782tBra5rXkM/l5VWwGIZbxMr3Bwm9OMlUsN7fjxVqGPA+wlIHAtxujH04A5tNuvUuILBE1FNvLyYmEAphcBAWi4S2qQkWi7SDnagEZQUWm6yAKtyDzqpRad4Zfedk98nZCldZAssEOADywlCiwx1AExC3SFWwLBYAnVaEBcbHi7YIq4HtwVIqowGACjACuZhhZqq0Ctbzz6Ori/2A56wPD+OVV3D3/+wsCNjr6UF/v8ReWlvh9ea6c24cP3j8wj6WwKrZKUIOQmHuc8hXwYKkD14hFrXASvCqPuwillAGQ7H1cujrg1Yr0bQgBZ78EB1pgSU1J4cgNi3HZEJnZ3bKoNCcL/I3VlDBamtD2NfAP0XoNDnzB84WBsU8WKW0CInQlPgcrFVpr1p51RN7nihpS62tkeEBwf5gbp11kDCRwJEjnI6sUWP0R/2kP4iyQrAIHJ87xyHfi6XqAoG1dw/60oB7RigCdQ6PB2MfzhR9qZ5rEa5cicOHkUyKRYiqVFi2DPv344MPOBkO9cBikR6CY7HAbJYI05UbIYEFoN3W3tPQY9PbsuvFUkaJR2uuq5P3uZdowALgAMIGBIPZ+RkccmcY20wICn0qK3bGsRLYHiylYtwJLJ+7VItwljXs4T//M29vF1z/r//CtdfitO6VGpVmz0SuL9/dLV3BUqvR1oZjxwBgxjFj8prWtawDgEgEsVh+ytYcAbnn5AgiFOY+R+km97zHik/uEZ6fplAzFrPAEhAlJQgs2VqEvb1Ys0Yi5qGvD2r13LtCkQpWKS1CQYFlNs+pJ5EKltUqZH+WyBrNVbCCk1Z2BSsQC+jVer1av5AMWCjeIiylgsXPcOdTxlxCjycyckzQ4Z5bZymZgwfR1cWa1A0A5JFPHO6ZDPbvL6hAFYfjc+dUsHrQkSwQYENvIqkH2syibSAApILVH5E2YIXDSCZzb6gGA9racPiwhMGK+NzrbMAiWCzS5ali63Ij5MEC0GHvINFoJbYIuUcM8zassgSWD3C5MCH0EpfzWLXohAevK1LBYnmwFGwRosCGxXgZgRh3FHqs+vvx9tu4+mqx9VQKjz+Oz30OAC5Zesm2D3NJ7U4nEgnpEk2+yLVHvec05rRsgVys/6eQB4uDXBUslQomk7DHKncIVsIHrxCLWWCFE2FuW419kFAo5IrTIqxKYG3ciK99TWJ95Uo89NDc50Jpr89sYlYw1HsOB5AG+E+ulpa5dx4hgeVyCeZISGaN5ipY05NGtsDyRXwkBOvgwQUusApbhKV4sAYDg1124YyGPB/r+tjE7MSBqQPSlwFAa2tkZFC6gjWnf4QCGMgjn2Q0DA3BYimzcCItsHrRHCpYn9mFcDs7iUEYtxtjw6lSDVgEMnFQfMogSWrYvbvMEp0SWK1FW4RVhWCVi0gFq7uhmyjvrEermMDieszzFazSW4REYGXD2nmEQkRAOdWYSgmvy+7BchqdM7GZeCoOwB/1K5LRQLAUCizBLja7tPLoo/jMZzjvTewcrOefR3t79kV709JN2w6xRuEUK2LlBdabqTeXJXJ3ntjw9ZwHK5lEIKBMyDNyJnehlGygHIEFcQGVi3FbkC3CI0eOPPnkk4899lj1v0peilSwFD1FCKCnB1ddJbGu0+Ef/mHuy6IVrCIeLIhMJPz85/Hv/579fyGBtXYtXnmF+01APGs0EsH4OLq7W1sxNaZjnyJckEcIUVJMQ9HfIW3AIqgY1SdXf7KkItYFF0R+94xEBeu88/Dcc7nXZCEHu1VvdZlcZA5ueQYsAlteR6M4fjxr4yP0wu4tlN8HoVpZmsAaQ0kx7nlWr8Zrr8HnEzs0QSpYdc5oIMy3CpaQyR3Agxc9eOupt5J1rxeZQMkx7oTKKlhekYdHKoVolLzUOoDxuMBPK1HBImHupEuooAcLBRUslU8lWsEiAioex+OPgzdckF3BYsVj4dzucz8Y/2DuU253t7QNiwiwdCa9I7LDE8qVpMTKU7kW4fg4XC7F0g30gEGoNEAo3eQOcRsWy4O1wCpYL7zwwumnn/7d73739tsrzCNRDoG2WrEWoJwtwjIpanIv0iKEeJcwj5DAEkXMg3XoEOluWixQqeGdnpvWQebkpNP48MMyY9zrC0lyZ3+EKj+moRSBhdK7hFu2RAJTxojgJBQA6OvDRRfhxz8GICyguuxd7936Hgm5Lu8IIYFdweIcIQTQA/04RnPr6TRso7CdVpLAGp3Sli2wnnwSJ50kliOwejXefRcDA/NA0599tsShFgAnn1zbcDiRCpZJa9KoNAB0OpjN8E/ESxpEmIdUsALALFBi26hJvIIVCsFsJneuLYURoaQaJSpYYB0krF2LsKjJ/Te/werVfEtsfp30D7dsyX7foDF8vPvjfzz8x+zXPT2lVLDeG3sv3hzXT+RMBcUEloIOd4JEl7D0WYQQF1AL9xTh+eef7/V6H3nkEVl2Iy8C4ZzsFqCQB4uzbi79rq0aaTN1cZM7ShBYQiZ3UcROEbIc7G2tTGbGk4/vmgxPOk3OoSE0Nsr/iVNBtIBu7qQPUFjBKi2moUSBdXrb6elM+p3Rd4pcp1aHb7jWOCxy6goA8LWv4XvfQygk6mBvtWZdqWU73FFYwdq3jyvg9GBcMPoQjwPAwABWa6BfW1oFK2CUDjzlxryvXo2REQkHe1cXwmEsXy6aiVs7vvnNXECqMFdfjRtuqNluRAUWG6cTk+PpSjxYpD9Y4pQaPaAFHELTcljqyRzHMRELjRICK3+QcF6Y3ImAYpenWBiNiMeRTOLRR3HDDQX9w01LN83ZsIq1CMn6C0deWLt+LfJ3xciIqAfLBgCjo4o5DqWxugAAIABJREFU3AlCUVgAEAG05aShW62iFawFKrA0FSad14IipwiLtQjnVwWrlBahvBWshgYkkwKeQVb/r60N5uiyfJeQVLD2758HtYRy4XQJWSZ3h9ERiAWSadFiEqFEgQWgxC5h5NyzjTNRvPaa2AUrV+Kcc/DTR5IYHpYe41hJi5Bdwdq3T+BQaC82NGSN9nv3YjkDLC8usDwejM1aS00ZJSxfDo1GIuGKYbBixTzoD85DHA7MzCAp9dDNarCyWoQNgA54reT+YHYzgKVToILFcngZIhgQahUpETQK1kFCpQYREiylmdxDIRw4gAMH8IlP8NcZJhvS+/Of45ZbCpYuW3bZ9sPbsy9QpQmsF4++eO6Kc6HJNeZKqGAp5XAniEVhlX6EkCBRwbLZUI9ThHWQR7FY7LHHHvvrX/9Kvjz77LOvueaa0n88mUwmJV8y8szEZjQZTZQ17lRtsaj6+xPRKABtKJTWaFKFw1DNZpXXq41GYwBmZtQ6nSoaFTpXrAB2jX08NB7lDWclBKNBPaMXWyWoW9WqN1UJ8Q3rp/VxYzwTFfMT8q73eOIDAxm2+QbQ7tuX3rSJ/Lu1tGiN4b5R/6hD6wAwPjNu19n3vJNYunTu3y0ajWrrX1sogr5BHx+LZ1zZfxltSJvWplPRrOHWrreP+kddJilr9qB/0G1wS99BhKuXX335E5ffe/a9YhlXhGAirO9Zmv7Xf42Ljxi76y7VlZfhC72rmGRS7H00ncbBg4be3lK2BuTvL7vd4PNFZ2ag1Wo/+CB93XWcZ4q2S7v2uOro0URLS3rvO5pL4pqoO6qaatIMD8fFb8lkQiihD1kcGvFrxsY07e2IRuf+HP3y5YmVK9PiP7J6tXbFigz7R04QYrGYSqVKpYSc4QAAfUNDfGQkI65om5p045NIGI0p8X9er1dtMhW8Eup6dNiG9KnpZMn/5vpGfUrbwgwPJwpvSOX1akwm8pjRzRg+nMqQl182s7MGjabUB3DpuIyuoemhaDTqDXstaov8NwAA0Bg1mAb5h9JP6aOWKHi3w+h0upmZ1MMP44YbkqkUhO5Qi0X/+OOpFStUnZ0FzzCH1tFubX/l6Csfbf+oqq1Ne/RoTPwPaWhAcEa/s3/v6VecnnFn4oPxzLKMbnQ06XBwn19xGFKGKBNFFMePa5xOKPf80jZp08Nzr7d5GC+jM+tivMeD6O+xWNJeL/+RrPP7kwZDOho1mdQ+X6nv6ZlMJhqNqsXjHHU6naqYMa24wHrllVcuvvhi/vfffvvtlRWFHalUqu7u7g25CPOuri6Jv4FPJpPJZDKl/EgkGbHqrewrVU4n4/eT7zCRiIqEcLJwOpnpaZALolGV2cyUtbdqaLG2TIWnxG4ukoyYdWbpzTA9jOqYSuoaP9RN6oy6VIGF1lb12Fim0E6lOnQo87//N7mV9nZGe6QrEA+QL6ej06tdq/d8qD7ppLk7SK1W1+zfsHIcUAfm/mWYKKMyqfIR1S6Tazo27baK2hB8ER/DME3mkmIuVzevthvsb4299dH2j0pcFk/Hjb3LmYf/pvngg4xI42n9epzSNva4+tbPi/8LDwwwLlfGbi/1LsjeX2p1xuXSTE5mOjpUBw5kVq/m3om9WPEWxsbUajXj36WadcJkUDOtrcz4uPTd3ayemtS0tYtfMzmp2rCh4Ame3LGDaWqS+KXf+15aq8UCeJjJjVqtVqkkn/JOp9rny4jXH1wueIe1qoYGiVzgUEhltxe+Ei6B6reqzHUlvQ5ncYDRe1STk5wfYcJhxmZTq9VIQJXEwCT3JTcSgVYLvV7+O7fV2vra0GtqtToQCzQaGxV6/KjsKsxCrVZjBtBAbRa6FZuN8fs1v/518vXXxbZhseBHP1L/+7+n+RdsWrZpe//2c7rOQW8vMzAg/Yc4PbMu9UWNpkZ4oJ5QZ1ZmmLExVVsbw/mpEGDPPqfGx1Vr15ZzX5cJ08yovCr+SAAmysBSxvOasdtVoRD/kczMzKgaGhi1uqFBNTNT6ns6kRkSFzOS06UIxQXWOeecExA62lhxWUKr1Z533nk33nhjZT/OMAzDMKXceigeajQ3ajWsK51OBAIq8rPRKKxWdeHvcbkwPZ3902IxmM3QamuUZKHVanVqXTgdtusFQv9mE7MNpoYif3UfMCR5v/ihcWlQ+v3W3q6ZmCjwtqTTOHxYs2oV+WZ7O5j324KJILlRX9TXYm155pDqU5+CVqvO/13zv4KFRmhmWP8yMcAKde5PcJld0/Fpib/i+NTxnoae0v/MLau3/PbQbz/e83GJa2LpmNloZe68U/Od7+Dpp8Uu++c1z2557obPZbQ6kUFq+/djzZoynq1z91dHh2ZsjES6a1as4FqclqA7g5dG1VqtOr0f6aXQarVoa8PUlFatljhx5E6PTGJlj/h+JifR2jr3+AFQ1GHLj0g8QUin0yqVSurObW7W+P0S9rSWFkwF9WqHQy1+zewsGhoKXwmXAlGoV6jV2pLfdJug1rRgfJy720gENptWq4UPaIAujtlZbQPLyTA9Dau18rcbCToaOsYPjmu12unodIutRamXKRswBpVWBT/SzrTwrTQ2IhTCxz+uKWwXsCH+os2b1Vrev/nlyy+/5blbvnPhd+B0Qq3WBoMSMw00jiOrtJdqtVp4oJnUQAuMjmo6O7kPkghgz/6zj41h0ybwb1c23MBRCDyWIoCtnLu+oQGzswKP5GBQ09QErbahAbOzpb6nZzKZ6t+8it8SUTN8qrnVGpDKpBKpBHeUGycHi+exsloRi2XThquNaSgfCRtW8WHPAFqAICA2qiQBxMo5kQGhpIZjx9DUlHewt7YiHfTkw9ynwlNNpqYFltFAcIh6sFBC1mjpBizC1auufmrfU5mMVCkxkoiYtCbccgtefx17RIcon+7744qe2K9+Jfp7hEKySoP43A8ezM4k4NALTwTDw0inYRqC+RQAgEYDux1er+jvDIfdGBsLSj2vJielc7Io5VDM5+50YnLWVN4pQgB9AEoOwSI0AZlGYQ8WeT2ZBhxwu7mXKJHRQMhnjdboFOEUMk6Rp7xWC72en87AxmLBZz8rLJVPbzt9YnZiwD8AAL290kkNQdP7LYkzAcADjALJJPx+gZAr1iDCsTHpcylVI+bBKisEC8VjGuz2hZaDNTU1deGFF952222xWOzCCy/8zGc+I8u2qmc2LqRIipncGQYNDdlLqg0aLR8pgVWKyZ0BOoRHPgM5x2KJp34I/IOEheqprQ1xvzOfwjIVntInWsJhhY+cKAHH5B4tFFimIgcJyxVYq12rrTrrWyNvSVwTSUaMGiOMRvzjP+Lb3xa9bs+er98V/z//R9C2AVSW0UAgPve9e4Uz4Pvg8OP4cQwOYrUWuvxNSPvcJyY8poCkD54X00CphmICy+XCZNhctsBaAjggnJkpRiMQMWansrDJnyL0Aw1oaeE+fBTKaEAupiGTyQRiAQWDRvMCy4uMQ/wz1aOP4tJLJX7NnXfii18UXlIxqo1LNmYHP0v63Mdnx8PmfRl/FwB4gDFgfBxOp0DJmTUnZ2xMYZO7WExDqMyKgKDAymTys5Zqf4qwWpO71Wq9++67818aayxJxBHIaAAv50qoQkU0WHNz1bMIy0e6glU8Bwu5g4SCBaSyMhoIra14442C7xROGWxtRdjbOHeKMOL1DbUsvPIVpE4RooQorEH/YJ+jr6wb3Lxq89P7nyaB2oJEEpFs0Ohtt6GvDwcPCmSLzcxgauqcT3raHsGvf43rrxf4PXv24CtfKWtrOUgFy+cTFljN0CQwfQx79+IkLZDfGhniI3bob2zMbY9ICKx0Gl4vrWDJh0jWaB6XC5MxW9GYBu6swlOAh8vciQOYZNDcjPHxgomN+QyGaaARbptABUshgeU0OoOx4GR4Mh8Mpgh5gTWJTJO4wCoW4LFpk+Tq0k2/eP8Xt512m7TAevHIi2uX2wYHGABwAx+IZzDk5uRkMhgfr1MOVlkpoxCJaZidhV5PYvwW3ixCvV5/AYuzzjpLlm1Vj3BPraEBoVD2w76IgMp3EWsc04CiFayiLUIAXeIVrAoEFj9r9MAB9tu8x4PZaYs3PBfTMDpgX0hjnvPwBRbroeE0OeVtEQLYvHLz1r1bJS7IVrAAmM34X/8L//ZvAheR8pJK9fWv41//VWDOKRkDLTDJuxTyFSzBFiODVAfUg9i3D10xlsAqVsFyO+IS614v7PZ5kGi1aCihgjWVsJddwTICZZz8BiA+LSc3Jwc+wCFQwVJOYJEw9/1T+xXsD4KVgzWJ/Dll2bl4ycWvHns1nAgXEVhHXzxvfXe2hUgqWMUyGqamYLVCzOIpD2LznmfKFFiCFSpWysjCy8Gatwj31FQqWK3ZNqxICzDfRay9B0si07L4LEKCRBRWWSFYBMEWIUtAabUw2+Kj40kAoXhIrVL3f6hbSBnueTgCK8L1YMnbIgRwsvtkFaN6d+xdsQuiyeicg/CLX8S2bQLWilzC1QUXwOEAP8/h0CF0dVX6OYEILM4UQhaaZbBNYWAXNAyQb+oVFVjNaYn18XHaH5SVogLLkZpMN0lHKhebVVgaRGDxHx55AeUDGgUEmHIeLAAei2f/5H4F+4Ng5WBNSbYIq8Omt23wbPj5ez8/4NFOHD+YSAskEWQymR1Hd1x15ilZAUY8WBICK5cyqmx/EIAL8AJ8k4MsHixWTq7NhpkZSHpfZWb+xoRWiWhPjXQJHQ4JgUUqWHXxYB3xHeF/P5aKqRiVVlXC5/ouYLvIUmUtwtFRZDJzU0p4jSpnS3xsRA3AG/E6Tc4DO1Hp8dC6whdYLDVbdBxhBQILpEu47+n1buEIhnAiPDeL0G7HF76A73wHnJEJrPLSPffga1/D5s0FE2Uqd7gDaGvD0aPw+8VSTFVLsOplvP8y4j2Y+3zrdmNoSPR3Tk66PfYxgcd4fp32B2XF5cKU1EPXqZ+ZZJrFxhAR5BFYZFrOMvEKVs7k/vrrwutK0Gpt3Tu5V8GUURSa3Ncq+N5+22m3Pfj6gz8IjE2vHJr+V5NBY2g0NDqMjkZjY6OhsdHYqFPr9Gr9aUt7EgkEArATgSUx6dkOiK/LiQawAdPgxtyX68ESNLGzHr4aDfR6zM7WbtDI4hVYYj21/DQckRYge732Hqw3jr/B/77AUEUx5K1gGQwwm+HzZQ/9+nyIxTgfZ9ye9PiEHrlJzwvyCCGKVLCkPVjeiFej0giGa0izeeXmG39747fO/5bgaiSRaxESvvxlLFuGr361wL+yZw82biT/u2kT7r0Xzz+Pyy8vWK/Q4Q6grQ3j41i5UrRj14uVBgxNQnc+65tuN94SN++Pj7u7W0ZflVhX+LzSiUaxCpY54WfQMjsrVcPiJrlXhkQFi7z/TQOdUutK4LF69k3uq12LUMKDVTVXr7r66lVXY3YWzc0IhWYSIV/ENx2Zno5Ok//6Ir4fXfoj5Hzw69YCYWBoEhuEPoQFs3JH8Tk5BGLD4gusTuHLhRH0WBVaCMklNRNYi7ZFGIqHRCtY09OIxaBWQ2jOT75FWHuB5TK5BD1Ys4kSjhAS5BVYKOwSCqmnjnaVf8IMYCo85TR4jh1DX3lu7/lBFS3C/un+nsaeCm7ztNbTIonIngnhCIZIMlLQFG5qwt//PR58sOCiwiOC99yDe+8tKIBXMiQnj04Hl0usPwgAvViiwgYLdGxHe9FThH0m6RYhFVhyUnQcYTDo1PilL+HOIqwMMQ8WO6ZBpEWokAcLgMfi2TOxR8FBhCisYCkpsLKYzTCbMTFh1Vm77F0nu08+r/u8q1Ze9ffr//7Oj9556dJLkT9oSDr7g9E6z8khCPrcyzW5i3mwWA9fu72mNqxFK7BERQlpAYobrNgCa56Y3Et1uANoByYAwUkAFQusvM9dSGB1tWtDPisAb9ir9a/q7FTYDqkQbIGVAJiC2q60yX0wMNhl76rgNhmGuWrlVU/vFw4RjSQi3BS3O+7Ar36Vnf8HwOdDOIy2tvz6lVcikcCLL879ROUZDYS2NmmB1RbDySaWwx2A2z23Qz4TE4Z2p8EAv194nbYIZcbphNcr5ToJBl36oITASiYRj8vxUbMJ8ELKxE5OEQpVsBRtEU7MTijbIjQDYSAtmYMlLz090lFYc+seYDg1XwQW/0FYgQeL77EqrGDV2Oe+aAVWKB6SahGKG6zypwjnTw6WcOSEIGrADRwXWqrAg4XCg4SFRwgJvZ2G+LQrlUlNhicxtXxB9gcBNAJ+gDwxC8tXAIwao1atnYkLH/CtuIKFnA1LcIlbwQLQ0oJPfxrf/372S1KeYrlnGAb33IP7789+GY1iaAji0dAl0NcHkSk9ANCDphCWJAoFlscjXcGCyyVR5KIhWDKj1cJsFtWzAGZmXMaQhMAi+qaEoSDFMAAqoKFVyoPViOZmTE4WvEUq6sHyWD0AlK1gqQADEFa8RThHWQJrUiPssQrW0IMFkazRcoc95z1WBb+koMdss9U0a3TRCixR3xKpUImXp+p7itAX8aUy3NMUpYZgEbpFuoSs4LgyKNYibG9n1LMd/qjfG/bGxnsWqsDSAvqcVYInsEBsWCJdwoorWAA+0v4Rb8R7YOoAf2kuB4vNnXfisceyUelCBqtPfhITE3jpJQDYvx9LllQXefCrX+GKK0RXDdC0wBXI5XoTGhoQjUJs3OzEBJqbqcCqKdJdwkDAZQ5LrMtjwCI4AB1PfxcGjep0WdtnHkVbhK3WVgDKerAA2AA/EESmoSYCSzKpoWDdDUwbRAVWzU4RQqSCNVumwIJQhaqww00rWPIgWvUhLUJxg1X+FGHtPVhqRm3X2/PB6HnKaBEC6BQRWJVVsDgtQl7IVWsrVDMdvojPG/GGhtsXqsAC0JDrEhaGYBFcJpeYz72yI4QEFaO6auVVz+zn5Suwc7DYtLfj6qvx0EOAcP9PrcY99+Bb3wKAPXtE8z5LpWi7txfo4OlRMQGVSpEUUYkuIvVgyY901mgw6LLFJA4aymPAIjQBWp7HKh806gUcALjTcmohsBRtEQKwAINAA/jzjBWhdIFlD0Mn4urwZz+Qj4zUxOQuSwULQj73Qg8WFVjyIDq8L98iFFFP+VOEkQgMBsFLFESwS1hGixDiFawqW4TxOI4fR28vfz0VbPFFfFPhqaljrgUssPLjCIUqWBLjCKsRWAA2r9wsaMMSrmAB+OpX8cgj8PvFjghefz2OHsVrr1WX0VAivYX9QYKYgPJ60dAAjUaii0grWPJTrILltCekK1iyCSwHEDMjmUSYNTCV7cFyADyblqICy2l06tQ6xStYVuAoUDNzYektQsM0DCL2hlrGNEDcg1XuXc83sVMPlhKIDu/LtwglK1jRKLRaqGvzgYOFoMAqadJzni5gQOj7VbYIP/wQ3d38hpPTiXTUPBEIeMPe0QHbgkwZJTRKCSypFqF/sKuhwhYhgI91fWx0ZvTINDcbKpwIC1SwAHR24rLL8KMfiQkorRZ3341vf7u6I4QlshTgB/eLCahceYp/UizPxAStYMmNtMCamXE1JmvXIuQcJEynEY3CZEIMSGUrx5wKlnKzCEHC3M0tilewrMBAmaMbq6FYBctuh0YDrxdQTUDdLnxRELAhGIRKJR1DKxOCFaxyc7AgJKBoBUsJREVJ/hShpAer9gYsQrO5mf9GHk6Ey6hgiSU1VHmKUCThimFgbAgeHYqMjaqMpkyjwq9UCiIpsMRahFPhKa1aW0EIVh4Vo7p8+eW/2f8bzvcLktw53HMPHnwQKpVYteemm7B7N15+ubojhKVwB8CP8RJrEeaOCJJxhXzCYSSTCr6bnqBIZ40Gg9ICLN/BkwG+wJqdhckElQrTc69OHP2tqMkdwH3n3bfCqXDh3Qr080KelKOrC0NDApOzWGSLWJkRpIVeQ9LALGBVfsxzHrGYhgo8WBwTOxVYSiBqci92itBohEqFqalaHyEkiLUIyzC5SwisCtRPSwu8XiSTYgILgLVp5thQcmLQsWyZ1FN6vtMo5cESS2ro9/f3NFR4hDCPYJcwnAiLDkdatgyXXCKhnvR63Hkn0mn0VLu1YhiEPmKKCaxc/6/YOkVWigkoVzMjKcBkbRF6C+9+dghW7iQf5+GhdCzkTSffZNUpLOotwFHWOCmlMRjgcHDHyBaSFVjxQcSFCmszgBlQYXS0Jv1ByCqw+BUs2iKUnYpN7uSSkZH6VLBcZoFKSdkm9+MAR+rMAmpAX/6G1Gq4XBgbkxBYjS3h48MZ/3H36lU1b6nKiHQFSyRrtEoDFuH8nvOP+I4cCxSM6ZaqYAH49rfx9a9L/M7PfQ4//SlUdXl+U4E1ryhqcvdoaufBmi6sUBUOIiRwKliKerBqRI0rWChuw8p2EWcOI2zmvlmg5iFYABzATGGCYxjQlT9rhp4irA2i0QakglVMYB0/XieBJRTmXkaSOwA94AA4LZjKDFgE0iUUF1jO5vjQcCozufykVQt58lKxFqFgBUsWgaVRaS5bdtlvDsx1CeOpuIpRaVTi/57d3Tj/fNFVwGjEtddWua9KERNQOQ+WmAmeHiFUhKIxDe362nmw+BWsfEYDS2DVzOReI6zAcA09WCj5IOHYcViS4L+wBecEVi2OEAJQAQ4U7KSCjAaICCzeqJyasXgFlljVx2JBIoHpaYkWoMOB4eH51SIso4IFoAs4Vvidyo4QEtraMDyMQ4f4KaMEtyc9PJzR+NYs4COEKGwRCprchTxYVTrc83ASRwVSRhcQxSpUTicCASR48waowFKEYi1Cu8cUiSAWE1tXsoKVd7D7ClqE+fVoFBpNdVlu8wELkKrhKUIA3d0lVbBGR+FMcj+NAwjUNgSL4Co8SDhT/hFC0JiGWiEVbdDQgNHR+dkiFD5FKHYiUgz+QcJqBFZrK3buhMUi9km2vZ2ZHNemJpcuEoEVEcrBUrJFCOCivov2Tu4dmcnaJkQzGhYEYhWq3BFBlQouFyZ4lgvaIlSEYgKLsduamrLhtXzkzMFy5Kbl8FuErBcoQY/WwoYIhRq3CCUrWNkW4ugoWhnwPw3VvkUIng2rAgMWeAIqnUY4zH4MUYElD1LRBsUqVPOtghVOhMuuYHF87pUdISS0tuJPfxLrDwLo7tBFxjrSYXtHR6U3MR8oFtOgXIsQgFalvXTppb898FvyZSTJG0S4gHC7MTEhMP9ufDwvoASLXHQQoSIUPSVos0nYtGSuYPnETe45geVywevNnoFbDP1B5IRCjStYxVqEg4PIjI2jUytcwaq7wKogZRQ8ARUMwmJhe1GpwJIH0VOEABobpQVUsXUFkeEUIeQWWG1teOcdCYHV12XA6AZb61h9LNVyIdkibNA3RJKReCrO+f5gYFAWgYXCs4SRxEJuEep0sFgKxp0QWAJKUGDRCpYikByEUEh4NRiEzSahweQUWE28mIbCQYQEjQZ2ezZZQtEQrNpRlwqWZIvQbIbFnBln3OgQElg1HkRI4GSNVlbBstsLYhp4D1/OutIs6LdEKWYTs6JvUURASbYIJdcVpNHQGE6EOW/k5ZncISSwqmwRplISAmt5rwVptatL/Kj3gkCygsUwjMPo4BSxJmYn9Gq9XGe8L15y8buj7xJ5LTwnZwEhKKBYHivBLiL1YCmFWBRWKoVIBBZLjQSWoMmd/PbCF6i8DWuRVLBqL7A6OjA6imRS4pJuT2zAcQo8EG4R2oCazckhuOQQWBwPVqHDHYDNRk3uVRNLxdSMWqsS8UY6HBgdlW4RSq4rCMMwTcYmjp+6EpO7vBUsQEJgdTgboZ9p7anhw1YJGgFScxHyYEEoa3TAP9DTKFvSlEFjuLDvwmcPPouF7sGCkMAKh5FK5d8tOWndBNoiVAoxAUU6dAxTI4FFnlYqMxgmW1HLV7B8BQIrX+RaPB4sQ0VyoWK0WrjdGBqSuKTHOdNvWg0P78g5si3CWAyRCBoqfuMoFxfPg1WBti5WwdLpoFIhEqlwj+WyOAVWEUXS2IhEQrqCJbmuLPwuYdkm9265PViQElh6tV5lG+1ZInIMaaHQCPiBjHAFC0LjCOUyYOXZvDJ7lnDBV7D4Ye3j4+xmg1iFq3b9iBMKMY9V7vO9RNg7rwRQHRwbVj4nnhU0Ctb64qlg1f6TQ1EblmVqQLcMbiGBFQTsGB1FSwsYRrEdcpDF5M6pYAmljNSyiLU4BZaUAQsAmeci6cGSXFcWAYElluklhgUwFGaKVJOD1diIO+5Au8jIKgCA9SNPbDizVh8KFEILGICQqMDijyOUXWBdtuyyN4ff9EV8C76CxckyAjAxwS5P8QVYOg2fD021zAo6cZCoYNlsEuuQXeJwpuXkK1j+ghco/vrCpgf4bO1vtNjIZ/1If7pLuEUYBGw1nJND4AusCmYgFqtgQWiajnIsUoElbVpyOABIVKiKrSuLcAWrrBYhgM7CIlY1HiwADzwg/UGm65KnlnbVYCKowhAblpDJHUItwsHAYJddhhCsPCat6bzu85479NyCr2DxK1SFBiv++tQU7PaFn3g0PxETULkMBrEKV86jJd9OODYsdpI7S1uzW4SyNSjrSBNwb81vtGgFK9M/EPMItwj9gB0jI7UVWLJ4sDjlKaGUEVrBqpYiioRUqCRbhJLrysKPXJIaSydGl6wCqxhf2PCFtS1rFbyB2kAElogHi5/UIHsFC7nE0QVfwfJ4BCpYrCOCfIFFjxAqiFgLMPf5XkyAkQ6enE0izkFCoRwsFAqwxVDBqgvFBFZP/GB/sInMHARHcASyLcI6V7AqKJ0Sj1U0mv1SqMNNK1jVUiTXgFSoJE3ukuvK0mxuZldKIsmIVq1VM2WO+esuFFjVeLBK4LbTbnNbFr59Ji+wRDxYSrcIAfyP5f/jlcFXxmfHF3cFi98ipAJLQSQEVM6DJbYucwGJ3yK0WhEFMgVPunyHeZHENNSFYi3Crpk9x6fN6TQEbFideyHVAAAdpklEQVR1aRE2ADEgJ40qrGChMOpKpEVYsyisxSmwirQIi1WoGhrAMPWrYBWOIyziJxOjq6YCa5FQrEXIqWDJNSeHjVVnPafrnK17ty7sChZfYBUeETSZoFYXFOppRoOCFGsR1lpgcVqEvgKHOxZfTENdKFbB0o8fczSkR0YgYMOqSwULgJPVJawsaBRUYClPSS1C8QqVRgOrdb6Y3MsOwSLUtkW4SJCsYHHGEU7MThi1RrlCsNhsXrn57dG3F3wFq1iFinMJrWApiJjHKvf209QEvx+plMC6nEcIkQtD4cQw8F6d8hUs2iKsnLY2TE2JzpgEMDqaLXLxbVj1EljsLmE1Fax8C1DkFCEVWFUhNYgQJZnYGxvni8m97BAsAnscYRoIZYPjKFJIerA4LcJ+f39Pg2whWGw+seITOrVuYVewHA6EwwUv7rwKFcemRUOwFETiFKHVCkCtht2O6WnuupyDCAlNQhUsnsByueD3I5mkFawqUKvR1oZjx4RXYzFEIt1LNMICKwjY6iGw2D53WVqEIiZ3KrCqQmoQIUqKYXA45ksFK5wIV1vBCgJmoEwT14lIsQoWu0WoRH+Q0GBoOLf73IVdwWIYNDcXZIkKVbDYAou2CBWkhBag4CUKerDYHiuewFKp4HBgaop6sKpDwoY1OoqWluxIaHdhizACaADdPKhgVXbXF2sRcqKyFGWRCizpZE69Hv/8z9IVqs99DitXyr+xUpCngtUEJAHyMJumBqzSkPRgOU1OX8SXyc0wVsLhnud7G7+3ZfUWhX55jeAIKF6Fqtg6RT7sdkSjAt2iYgJL/gJSXmBNTCCdRjgMs1nQwEAeHoskB6teSAissTG43cItwgBgQyoFnw/OWo73gXwtQkmBVctxhItTYBWfjnzffdKHj2+7rYYzmAohO59NzJIvKzS5A+gESHnYTw1YpSHZItSqtGadeTqa7aMoKrBWu1Z32DoU+uU1gi2gyKu1pMCiFSwFYRg0NQkkNbAOsQvatGSOcUdOYBmN0OkwMgKjESoVZ04Ogdi08knvlEro6sLgoPDSyAhaW7M+eDdPYNkxMYGmJmg0tdjmHC65Te5Cj2BawaqWIi3CeQ/7IGGFJnewbFj0CGGJEAduDNALr7MPEioqsBYDbBO71wu7nfNqzRFYExNUYClJsRagWAVL/hahFwDgduPw4Wx5SryCRT1YVSFdwfJ4sgKLc4qwXg53AM0KeLCoyV12Kq/6zA/YXcIKW4Rg2bDoEcISaQRGAJ3o08JlngtzpwKrCGwTu1B5il/BoqcIFUQwa7SYwJLf5O7IjVRvacHhw4KDCJFbHx+nHqzq6O6W8mB5PJ2dGB1FwllYwcoNIqzDYND8vOcMMFvRqBwUVqhoTIMSFDlFOO9hC6yyJz3nyQssWsEqESKwxL15+XGEmUxG9jk5iw32OEKhDAZ2hSscRjpN30qVpIQKlqQAkwkLkAKiuQqWUIw7IS+wqAercrImdiFGR+HxaDRwu3E8AswA8dxSoE5HCMHyYEUAHVBZgzIvoBIJJJN8szUVWNWy0FuEzebmfCJA2ZOe83TnBFY1k55PKEiLUPz0Xr5FOBGeMGvNC7pKqjjsCpaQwOJUuGj5SlkEPVa1P0UIls89L7CEPgG63Vn7kE4n9wZOHNxuzMxgdlZgKSegenrQPwA0A/kjv/OhRVhxfxAsASXy8LXbqcCqjoXeInSZXQUVrMrEYidtEZYJ+VcSF1j5rNH+6f6eRkVCsBYP7BagkMHK5YLPlw23pCmjiiMmoHIOlToIrA8/zJaneEnuyK3TomZVMAw6O4V97jkBJeBzDwD2ms/JIeRbhBVnNIAlsEQ63LSCVS0LvUXoMs15fSo3uXfTFmGZaAGzZAXLnK1gUQNWcdgCa3KSf+BbrYbDkX1TpxkNisMXUPmUBADFK1zykZ+Wc/SoRIuQvU6pHDGf+9gY+cwzl9SQN0QGswKrDh4sUhUJVXGEEKwYBpGHLx32XC2LoEUog8ndDfiBCK1glUNjSR4sKrCKQ1qAJDZMJIMhb8Oqz6v5CQVfYAWDsFigUomtQ4mYBrAqWHkHu0hMA3W4y4DgRMJUCl4veUrOHSRkV7BsJMahhvvMQ5IaqmwREpO7yMPXaEQ6jXicvyI/i1RgLfAWoTwmdwZoB4ZoBascGot4sEhlkTrci6PXw2CA3w+ICqy8DYu2CBWHb2Iv/HxP1nMxuoKXyARJaiCCmrQIhYL6mpqg1VKHe9UICiwScqVWI1/BYrcIg/XzYCHnc1fSgwXAaq1Rl3BxCqyF3iIsEFjVVOPIQUIqsEpHWmDRFmFZFBNQ+S4iFViKI1jBYr396PXQ67nvOooIrKZcBQuA1YowoAIM3KvIsCVawaoWwaQGlnoSiMIKIGOtX/BvXmBV48HKtwhFCrA1s2EtToG1mFqEVVXjuoFB2iIsB0mBRVuE5VFMQFGBVTv4HiueeuJosFQKkYgCNSQyL6GlBQwjOIgwT0sLFVhVI5jUwAq5amuD14t4U0GLMKSGyQQDT/XWAllahJImd1CBVQ3pTDqWjJk0UqMG5znN5uap8BQZe1e5yR20glU+kh4s0iLMZDLHAscUmvS8qKACa/7Q1AS/P3tok8D7fM/pIs7MwGKRnihWEcSDpdOhsREWi4TAcrupwKoaQZM7q4KlUqG9HWMoEFiT8Tr1B5GrYFVjcs97rGgFqzL+PPBnb8QrthpOhA0aAyP/C0Pt0Kl1Ro3RH/MDmI3PmrSVikUyLYcKrNKRrGBZdJZ0Jt3v77foLAu6B10jiIl9dlYsRZQtsOicHGVRq2G3w+eb+06xCpYi/UGwpuWQCpWQwx25derBqhanE4kE99RcocGquxsDsYJThOPR+gms6itYyHmsxCdZUoElSiaTeeSdR3p/0Hvqo6fe86d7/tT/p2gyyr6g8mTO+US+S1jVn9MFHAbilc4cOAGRFFgAXCbXrpFdtD9YEkRAiZen8qcIJyZoTIPy8AVU4dtPjQRWU25ajscDq1ViFD2tYMkD3+c+Ps4+tdvTg4N+YAIgRxyCGAnV71QvqWDNViewiIASfwTXTGDVeFi2DDAM8+RVT2r12vfG3ttxdMe/vfpvbw2/dVrbaRf0XnBB7wXr3esrzzWYTxCBtbxpeVV/ThewG7ADC7icV1s2AyGpdafJuXN4Z08DTRktAbcbe/ZIC6yxMaTT8PmowFKeYgKKY9NSsIJFBNaDD2LJEjwtKrBuvZV7qpFSCURgrVs3953RUZx/fv6rnh4cGQKsgBdwAgEcD9ZVYE0CTqCpil9CBJR4yggVWEVQM+oNng0bPBvuPuvuQCzw0sBLLx558fqnr/dFfOvc6xZB+yY/LSecCFf+57QDMaAucSYLlJVF1l1m166RXWe0n1GT3SxwyClC8fNIZH1qCnY7NAv1pWjhUExguVwYH5/7UpEQLLAE1sknA8Ix7oTOTgVu/QSEX8EqDLnq7sazz+aisBqAGI550d5R413mIGHu7TJVsKjAqh673n7F8iuuWH4FgKHg0ItHXlzQBiwCmZaTyWTCiXDlHiwN0EoNWHLiMrl+d/B3nzrpU/XeyEKgWIvQakU6jaNHqcO9JnBM7MEgOjo463v2FKwrW8Ei0DPOSsP3ufM9WAO5KKxWwIaRUZx2eo13maP6HCywKlj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      ]
     },
     "metadata": {},
     "execution_count": 2
    }
   ],
   "cell_type": "code",
   "source": [
    "# data generation\n",
    "T = Float64\n",
    "n_channels = 4  # number of channels\n",
    "n_samples = 2^16  # number of data points measured in each channel\n",
    "fs = 128  # sampling frequency\n",
    "time_array = Array{T}(range(1; step=1 / fs, length=n_samples))\n",
    "\n",
    "# mixed data\n",
    "range_c4 = 1:n_samples\n",
    "range_c1 = range_c4 .+ 16\n",
    "range_c3 = range_c1 .- 1\n",
    "\n",
    "rand_data = randn(T, (n_samples + 16, 1)) # uniform noise\n",
    "cause_source = rand_data[range_c1]  # channel 1\n",
    "random_source = randn(T, n_samples)  # channel 2, uniform noise\n",
    "effect_source = rand_data[range_c3]  # channel 3\n",
    "weak_effect = rand_data[range_c4] .- (randn(T, (n_samples, 1)) / 5) # channel 4\n",
    "mixed_data = hcat(cause_source, random_source, effect_source, weak_effect)\n",
    "\n",
    "p1 = plot(\n",
    "    time_array[1:64],\n",
    "    mixed_data[1:64, :];\n",
    "    title=\"Mixed data\",\n",
    "    label=[\"Cause\" \"Random\" \"Effect\" \"Noisy Effect\"],\n",
    "    linecolor=[\"red\" \"green\" \"blue\" \"magenta\"],\n",
    ")\n",
    "\n",
    "plot(p1; layout=(1, 1), size=(800, 450))"
   ],
   "metadata": {},
   "execution_count": 2
  },
  {
   "cell_type": "markdown",
   "source": [
    "### PSI"
   ],
   "metadata": {}
  },
  {
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "\u001b[36m  data2psi(data, seglen ; segshift, eplen, freqlist, method,\u001b[39m\n\u001b[36m                          nboot, segave, subave, detrend)\u001b[39m\n\n  calculates phase slope index (PSI)\n\n\u001b[1m  Arguments\u001b[22m\n\u001b[1m  –––––––––––\u001b[22m\n\n    •  \u001b[36mdata::AbstractArray\u001b[39m: NxM array for N data points in M channels\n\n    •  \u001b[36mseglen::Integer\u001b[39m: segment length (determines the frequency\n       resolution). If defining \u001b[36mfreqlist\u001b[39m, \u001b[36mseglen\u001b[39m must be the same as\n       sampling frequency.\n\n  \u001b[4moptional arguments\u001b[24m\n\n    •  \u001b[36msegshift::Integer\u001b[39m: number of bins by which neighboring segments\n       are shifted (default is \u001b[36mseglen / 2\u001b[39m)\n\n    •  \u001b[36meplen::Integer\u001b[39m: length of epochs (default is number of samples)\n\n    •  \u001b[36mfreqlist::AbstractArray\u001b[39m: a UnitRange or 2D-Array where each column\n       is a frequency band (default is full range). Note that the DC\n       component (0th frequency of FFT) is discarded, and \u001b[36mfreqlist\u001b[39m shall\n       only include integer values.\n\n    •  \u001b[36mmethod::String\u001b[39m: standard deviation estimation method (default is\n       \u001b[36m\"jackknife\"\u001b[39m)\n\n    •  \u001b[36msubave::Bool\u001b[39m: if \u001b[36mtrue\u001b[39m, subtract average across Cross Spectra\n       segments (default is \u001b[36mfalse\u001b[39m)\n\n    •  \u001b[36msegave::Bool\u001b[39m: if \u001b[36mtrue\u001b[39m, average across Cross Spectra segments\n       (default is \u001b[36mtrue\u001b[39m)\n\n    •  \u001b[36mnboot::Integer\u001b[39m: number of bootstrap resampling iterations (default\n       is \u001b[36m100\u001b[39m)\n\n    •  \u001b[36mdetrend::Bool\u001b[39m: if \u001b[36mtrue\u001b[39m, performs a 0th-order detrend across raw\n       segments (default is \u001b[36mfalse\u001b[39m)\n\n    •  \u001b[36mwindow::Function\u001b[39m: window function with interval length as sole\n       necessary argument (default is \u001b[36mHanning\u001b[39m)\n\n    •  \u001b[36mverbose::Bool\u001b[39m: if \u001b[36mtrue\u001b[39m, warnings and info logs would be echoed.\n       (default is \u001b[36mfalse\u001b[39m)\n\n\u001b[1m  Returns\u001b[22m\n\u001b[1m  –––––––––\u001b[22m\n\n    •  \u001b[36mpsi::AbstractArray\u001b[39m: Phase Slope Index with shape \u001b[36m(channel,\n       channel, frequency bands)\u001b[39m\n\n    •  \u001b[36mpsi_std::AbstractArray\u001b[39m: PSI estimated standard deviation with\n       shape \u001b[36m(channel, channel, frequency bands)\u001b[39m",
      "text/markdown": "```\ndata2psi(data, seglen ; segshift, eplen, freqlist, method,\n                        nboot, segave, subave, detrend)\n```\n\ncalculates phase slope index (PSI)\n\n### Arguments\n\n  * `data::AbstractArray`: NxM array for N data points in M channels\n  * `seglen::Integer`: segment length (determines the frequency resolution). If defining `freqlist`, `seglen` must be the same as sampling frequency.\n\n*optional arguments*\n\n  * `segshift::Integer`: number of bins by which neighboring segments are shifted (default is `seglen / 2`)\n  * `eplen::Integer`: length of epochs (default is number of samples)\n  * `freqlist::AbstractArray`: a UnitRange or 2D-Array where each column is a frequency band (default is full range). Note that the DC component (0th frequency of FFT) is discarded, and `freqlist` shall only include integer values.\n  * `method::String`: standard deviation estimation method (default is `\"jackknife\"`)\n  * `subave::Bool`: if `true`, subtract average across Cross Spectra segments (default is `false`)\n  * `segave::Bool`: if `true`, average across Cross Spectra segments (default is `true`)\n  * `nboot::Integer`: number of bootstrap resampling iterations (default is `100`)\n  * `detrend::Bool`: if `true`, performs a 0th-order detrend across raw segments (default is `false`)\n  * `window::Function`: window function with interval length as sole necessary argument (default is `Hanning`)\n  * `verbose::Bool`: if `true`, warnings and info logs would be echoed. (default is `false`)\n\n### Returns\n\n  * `psi::AbstractArray`: Phase Slope Index with shape `(channel, channel, frequency bands)`\n  * `psi_std::AbstractArray`: PSI estimated standard deviation with shape `(channel, channel, frequency bands)`\n"
     },
     "metadata": {},
     "execution_count": 3
    }
   ],
   "cell_type": "code",
   "source": [
    "@doc data2psi"
   ],
   "metadata": {},
   "execution_count": 3
  },
  {
   "cell_type": "markdown",
   "source": [
    "## Example 1\n",
    "PSI is calculated over all frequencies for segmented (`seglen = 100`) but continuous data (single epoch, `nep = 1`) and estimation of error using Bootstrap method for 256 resampling iterations (`nboot=256`). The default window function ([Hanning window](https://en.wikipedia.org/wiki/Hann_function)) is used."
   ],
   "metadata": {}
  },
  {
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "Plot{Plots.GRBackend() n=2}",
      "image/png": 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       "  \"/>\n",
       "</svg>\n"
      ]
     },
     "metadata": {},
     "execution_count": 4
    }
   ],
   "cell_type": "code",
   "source": [
    "seglen = 100  # segment length\n",
    "nboot = 256  # number of bootstrap iterations\n",
    "method = \"bootstrap\"  # standard deviation estimation method\n",
    "\n",
    "psi, psi_std = data2psi(mixed_data, seglen; nboot=nboot, method=method)\n",
    "\n",
    "p1 = heatmap(\n",
    "    psi;\n",
    "    ticks=false,\n",
    "    yflip=true,\n",
    "    yticks=([1, 2, 3, 4], [\"Ch1\", \"Ch2\", \"Ch3\", \"Ch4\"]),\n",
    "    xticks=([1, 2, 3, 4], [\"Ch1\", \"Ch2\", \"Ch3\", \"Ch4\"]),\n",
    "    color=cgrad(:bwr),\n",
    "    title=\"Phase Slope Index\",\n",
    ")\n",
    "\n",
    "p2 = heatmap(\n",
    "    replace!(psi_std, NaN => 0);\n",
    "    ticks=false,\n",
    "    yflip=true,\n",
    "    yticks=([1, 2, 3, 4], [\"Ch1\", \"Ch2\", \"Ch3\", \"Ch4\"]),\n",
    "    xticks=([1, 2, 3, 4], [\"Ch1\", \"Ch2\", \"Ch3\", \"Ch4\"]),\n",
    "    color=cgrad(:grays; rev=true),\n",
    "    title=\"PSI standard deviation\",\n",
    ")\n",
    "\n",
    "plot(p1, p2; layout=(1, 2), size=(720, 300))"
   ],
   "metadata": {},
   "execution_count": 4
  },
  {
   "cell_type": "markdown",
   "source": [
    "## Example 2\n",
    "PSI is calculated over 3 frequency bands, for partitioned data to segments (`seglen = 100`) and epochs (`eplen = 200`), estimation of error using [Jackknife method](https://en.wikipedia.org/wiki/Jackknife_resampling) (default). The window function is set to `blackman` (imported from [DSP.jl](https://github.com/JuliaDSP/DSP.jl)). The plots are for only one of the frequency ranges.\n",
    "\n",
    "We normalize the PSI by dividing it by estimated standard deviation."
   ],
   "metadata": {}
  },
  {
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "Plot{Plots.GRBackend() n=3}",
      "image/png": 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      ]
     },
     "metadata": {},
     "execution_count": 5
    }
   ],
   "cell_type": "code",
   "source": [
    "seglen = 100  # segment length\n",
    "eplen = 200  # epoch length\n",
    "method = \"jackknife\"  # standard deviation estimation method\n",
    "\n",
    "# three frequency bands\n",
    "freqlist = [[5:1:10;] [6:1:11;] [7:1:12;]]\n",
    "\n",
    "segave = true  # average across CS segments\n",
    "subave = true  # subtract average across CS segments\n",
    "detrend = true  # performs a 0th-order detrend across raw segments\n",
    "window = blackman  # blackman window function\n",
    "\n",
    "psi, psi_std = data2psi(\n",
    "    mixed_data,\n",
    "    seglen;\n",
    "    subave=subave,\n",
    "    segave=segave,\n",
    "    detrend=detrend,\n",
    "    freqlist=freqlist,\n",
    "    eplen=eplen,\n",
    "    method=method,\n",
    "    window=blackman,\n",
    ")\n",
    "\n",
    "psi_normed = psi ./ (psi_std .+ eps())\n",
    "\n",
    "p1 = heatmap(\n",
    "    psi[:, :, 1];\n",
    "    ticks=false,\n",
    "    yflip=true,\n",
    "    yticks=([1, 2, 3, 4], [\"Ch1\", \"Ch2\", \"Ch3\", \"Ch4\"]),\n",
    "    xticks=([1, 2, 3, 4], [\"Ch1\", \"Ch2\", \"Ch3\", \"Ch4\"]),\n",
    "    color=cgrad(:bwr),\n",
    "    title=\"Phase Slope Index\",\n",
    ")\n",
    "\n",
    "p2 = heatmap(\n",
    "    psi_std[:, :, 1];\n",
    "    ticks=false,\n",
    "    yflip=true,\n",
    "    yticks=([1, 2, 3, 4], [\"Ch1\", \"Ch2\", \"Ch3\", \"Ch4\"]),\n",
    "    xticks=([1, 2, 3, 4], [\"Ch1\", \"Ch2\", \"Ch3\", \"Ch4\"]),\n",
    "    color=cgrad(:grays; rev=true),\n",
    "    title=\"PSI standard deviation\",\n",
    ")\n",
    "\n",
    "p3 = heatmap(\n",
    "    psi_normed[:, :, 1];\n",
    "    ticks=false,\n",
    "    yflip=true,\n",
    "    yticks=([1, 2, 3, 4], [\"Ch1\", \"Ch2\", \"Ch3\", \"Ch4\"]),\n",
    "    xticks=([1, 2, 3, 4], [\"Ch1\", \"Ch2\", \"Ch3\", \"Ch4\"]),\n",
    "    color=cgrad(:bwr),\n",
    "    title=\"Normalized PSI\",\n",
    ")\n",
    "\n",
    "plot(p1, p2, p3; layout=(1, 3), size=(1110, 270))"
   ],
   "metadata": {},
   "execution_count": 5
  },
  {
   "cell_type": "markdown",
   "source": [
    "---\n",
    "\n",
    "*This notebook was generated using [Literate.jl](https://github.com/fredrikekre/Literate.jl).*"
   ],
   "metadata": {}
  }
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