9879HW06_Chen_Weiyi.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#<font color='Blue'> Weiyi Chen"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# MTH9879 Homework 6\n",
    "\n",
    "Assigned: March 10, 2015.\n",
    "Due: March 24, 2015 by 6pm. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Comparison of estimators"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Set up R environment."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "%load_ext rpy2.ipython"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "trying URL 'http://mfe.baruch.cuny.edu/wp-content/uploads/2015/02/tq.zip'\n",
       "Content type 'application/zip' length 695952 bytes (679 Kb)\n",
       "opened URL\n",
       "==================================================\n",
       "downloaded 679 Kb\n",
       "\n",
       "trying URL 'http://mfe.baruch.cuny.edu/wp-content/uploads/2015/03/RvEstimators.R.zip'\n",
       "Content type 'application/zip' length 2406 bytes\n",
       "opened URL\n",
       "==================================================\n",
       "downloaded 2406 bytes\n",
       "\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%%R\n",
    "download.file(url=\"http://mfe.baruch.cuny.edu/wp-content/uploads/2015/02/tq.zip\", destfile=\"tq.zip\")\n",
    "unzip(zipfile=\"tq.zip\")\n",
    "download.file(url=\"http://mfe.baruch.cuny.edu/wp-content/uploads/2015/03/RvEstimators.R.zip\", destfile=\"RvEstimators.R.zip\")\n",
    "unzip(zipfile=\"RvEstimators.R.zip\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 1. (12 points) \n",
    "This assignment uses the *tqBAC* dataset from *tq.rData* and the RV estimators from *RvEstimators.R*."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "trying URL 'http://mfe.baruch.cuny.edu/wp-content/uploads/2015/02/tq.zip'\n",
       "Content type 'application/zip' length 695952 bytes (679 KB)\n",
       "opened URL\n",
       "==================================================\n",
       "downloaded 679 KB\n",
       "\n",
       "trying URL 'http://mfe.baruch.cuny.edu/wp-content/uploads/2015/03/RvEstimators.R.zip'\n",
       "Content type 'application/zip' length 2406 bytes\n",
       "opened URL\n",
       "==================================================\n",
       "downloaded 2406 bytes\n",
       "\n",
       "also installing the dependencies ‘xts’, ‘zoo’\n",
       "\n",
       "trying URL 'http://lib.stat.cmu.edu/R/CRAN/src/contrib/xts_0.9-7.tar.gz'\n",
       "Content type 'application/x-gzip' length 470815 bytes (459 KB)\n",
       "opened URL\n",
       "==================================================\n",
       "downloaded 459 KB\n",
       "\n",
       "trying URL 'http://lib.stat.cmu.edu/R/CRAN/src/contrib/zoo_1.7-12.tar.gz'\n",
       "Content type 'application/x-gzip' length 839181 bytes (819 KB)\n",
       "opened URL\n",
       "==================================================\n",
       "downloaded 819 KB\n",
       "\n",
       "trying URL 'http://lib.stat.cmu.edu/R/CRAN/src/contrib/highfrequency_0.4.tar.gz'\n",
       "Content type 'application/x-gzip' length 1904563 bytes (1.8 MB)\n",
       "opened URL\n",
       "==================================================\n",
       "downloaded 1.8 MB\n",
       "\n",
       "\n",
       "The downloaded source packages are in\n",
       "\t‘/private/var/folders/ry/6kkpl_ys3vl4z09tb97h1wdw0000gn/T/RtmpS9Pl8d/downloaded_packages’\n",
       "Loading required package: xts\n",
       "Loading required package: zoo\n",
       "\n",
       "Attaching package: ‘zoo’\n",
       "\n",
       "The following objects are masked from ‘package:base’:\n",
       "\n",
       "    as.Date, as.Date.numeric\n",
       "\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%%R \n",
    "download.file(url=\"http://mfe.baruch.cuny.edu/wp-content/uploads/2015/02/tq.zip\", destfile=\"tq.zip\")\n",
    "unzip(zipfile=\"tq.zip\")\n",
    "download.file(url=\"http://mfe.baruch.cuny.edu/wp-content/uploads/2015/03/RvEstimators.R.zip\", destfile=\"RvEstimators.R.zip\")\n",
    "unzip(zipfile=\"RvEstimators.R.zip\")\n",
    "load('tq.rData')\n",
    "\n",
    "install.packages('highfrequency')\n",
    "library(highfrequency)\n",
    "source('RvEstimators.R')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "###Problem 1\n",
    "\n",
    "(a) Consider the BAC trade price series.  Superimpose signature plots of the following estimators with subsampling frequency $q$ from 1 to 20: ZHOU, TSRV, MSRV, KRVTH, KRVC.  Express your results as $\\sqrt{RV}$ to make them more intuitive, as in Table 1 of Lecture 6 (recall that volatility estimates should be of the order of $2\\%$!).\n",
    "<br>\n",
    "Pay attention to good aesthetics, addling a proper legend to your plot."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### <font color='blue'> Solution:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAAeAAAAHgCAYAAAB91L6VAAAD8GlDQ1BJQ0MgUHJvZmlsZQAAOI2N\n",
       "Vd1v21QUP4lvXKQWP6Cxjg4Vi69VU1u5GxqtxgZJk6XpQhq5zdgqpMl1bhpT1za2021Vn/YCbwz4\n",
       "A4CyBx6QeEIaDMT2su0BtElTQRXVJKQ9dNpAaJP2gqpwrq9Tu13GuJGvfznndz7v0TVAx1ea45hJ\n",
       "GWDe8l01n5GPn5iWO1YhCc9BJ/RAp6Z7TrpcLgIuxoVH1sNfIcHeNwfa6/9zdVappwMknkJsVz19\n",
       "HvFpgJSpO64PIN5G+fAp30Hc8TziHS4miFhheJbjLMMzHB8POFPqKGKWi6TXtSriJcT9MzH5bAzz\n",
       "HIK1I08t6hq6zHpRdu2aYdJYuk9Q/881bzZa8Xrx6fLmJo/iu4/VXnfH1BB/rmu5ScQvI77m+Bkm\n",
       "fxXxvcZcJY14L0DymZp7pML5yTcW61PvIN6JuGr4halQvmjNlCa4bXJ5zj6qhpxrujeKPYMXEd+q\n",
       "00KR5yNAlWZzrF+Ie+uNsdC/MO4tTOZafhbroyXuR3Df08bLiHsQf+ja6gTPWVimZl7l/oUrjl8O\n",
       "cxDWLbNU5D6JRL2gxkDu16fGuC054OMhclsyXTOOFEL+kmMGs4i5kfNuQ62EnBuam8tzP+Q+tSqh\n",
       "z9SuqpZlvR1EfBiOJTSgYMMM7jpYsAEyqJCHDL4dcFFTAwNMlFDUUpQYiadhDmXteeWAw3HEmA2s\n",
       "15k1RmnP4RHuhBybdBOF7MfnICmSQ2SYjIBM3iRvkcMki9IRcnDTthyLz2Ld2fTzPjTQK+Mdg8y5\n",
       "nkZfFO+se9LQr3/09xZr+5GcaSufeAfAww60mAPx+q8u/bAr8rFCLrx7s+vqEkw8qb+p26n11Aru\n",
       "q6m1iJH6PbWGv1VIY25mkNE8PkaQhxfLIF7DZXx80HD/A3l2jLclYs061xNpWCfoB6WHJTjbH0mV\n",
       "35Q/lRXlC+W8cndbl9t2SfhU+Fb4UfhO+F74GWThknBZ+Em4InwjXIyd1ePnY/Psg3pb1TJNu15T\n",
       "MKWMtFt6ScpKL0ivSMXIn9QtDUlj0h7U7N48t3i8eC0GnMC91dX2sTivgloDTgUVeEGHLTizbf5D\n",
       "a9JLhkhh29QOs1luMcScmBXTIIt7xRFxSBxnuJWfuAd1I7jntkyd/pgKaIwVr3MgmDo2q8x6IdB5\n",
       "QH162mcX7ajtnHGN2bov71OU1+U0fqqoXLD0wX5ZM005UHmySz3qLtDqILDvIL+iH6jB9y2x83ok\n",
       "898GOPQX3lk3Itl0A+BrD6D7tUjWh3fis58BXDigN9yF8M5PJH4B8Gr79/F/XRm8m241mw/wvur4\n",
       "BGDj42bzn+Vmc+NL9L8GcMn8F1kAcXgSteGGAABAAElEQVR4AexdB3wU1fY+symEJPSaUKRJr4oC\n",
       "KiCg2LCLvetfsWL3PdvD9vT57F2x67P33gWxC0iTKlVC75AEErLz/7672WST7CZbs7Obc/kdZnbm\n",
       "zp0730zmzOmWjSbaFAFFQBFQBBQBRaBWEXDV6tn0ZIqAIqAIKAKKgCJgEFAGrA+CIqAIKAKKgCIQ\n",
       "BwSUAccBdD2lIqAIKAKKgCKgDFifAUVAEVAEFAFFIA4IKAOOA+h6SkVAEVAEFAFFQBmwPgOKgCKg\n",
       "CCgCikAcEFAGHAfQ9ZSKgCKgCCgCioAyYH0GFAFFQBFQBBSBOCCgDDgOoOspFQFFQBFQBBQBZcD6\n",
       "DCgCioAioAgoAnFAQBlwHEDXUyoCioAioAgoAsqA9RlQBBQBRUARUATigIAy4DiArqdUBBQBRUAR\n",
       "UASUAeszoAgoAoqAIqAIxAEBZcBxAF1PqQgoAoqAIqAIKAPWZ0ARUAQUAUVAEYgDAsqA4wC6nlIR\n",
       "UAQUAUVAEVAGrM+AIqAIKAKKgCIQBwSUAccBdD2lIqAIKAKKgCKgDFifAUVAEVAEFAFFIA4IKAOO\n",
       "A+h6SkVAEVAEFAFFQBmwPgOKgCKgCCgCikAcEFAGHAfQ9ZSKgCKgCCgCioAyYH0GFAFFQBFQBBSB\n",
       "OCCgDDgOoOspFQFFQBFQBBQBZcD6DCgCioAioAgoAnFAQBlwHEDXUyoCioAioAgoAsqA9RlQBBQB\n",
       "RUARUATigIAy4DiArqdUBBQBRUARUASUAeszoAgoAoqAIqAIxAEBZcBxAF1PqQgoAoqAIqAIKAPW\n",
       "Z0ARUAQUAUVAEYgDAsqA4wC6nlIRUAQUAUVAEVAGrM+AIqAIKAKKgCIQBwSUAccBdD2lIqAIKAKK\n",
       "gCKgDFifAUVAEVAEFAFFIA4IKAOOA+h6SkVAEVAEFAFFQBmwPgOKgCKgCCgCikAcEFAGHAfQ9ZSK\n",
       "gCKgCCgCioAyYH0GFAFFQBFQBBSBOCCgDDgOoOspFQFFQBFQBBQBZcD6DCgCioAioAgoAnFAQBlw\n",
       "HEDXUyoCioAioAgoAsqA9RlQBBQBRUARUATigIAy4DiArqdUBBQBRUARUASUAeszoAgoAoqAIqAI\n",
       "xAEBZcBxAF1PqQgoAoqAIqAIKAPWZ0ARUAQUAUVAEYgDAsqA4wC6nlIRUAQUAUVAEVAGrM+AIqAI\n",
       "KAKKgCIQBwSUAccBdD2lIqAIKAKKgCKgDFifAUVAEVAEFAFFIA4IKAOOA+h6SkVAEVAEFAFFQBmw\n",
       "PgOKgCKgCCgCikAcEFAGHAfQ9ZSKgCKgCCgCioAyYH0GFAFFQBFQBBSBOCCgDDgOoOspFQFFQBFQ\n",
       "BBSB1LoEwdtvvy27d++uS5es16oIKAKKgCJQDQItW7aUkSNHVtMjdrvqDAN+55135P7775ezzjor\n",
       "dmjqyIqAIqAIRBGBCRMmyL/+9a8ojqhDVUbgsccek6ZNm0r//v0r74r57zrDgCn5nnnmmXLhhRfG\n",
       "HFQ9gSKgCCgC0UDgjTfekHHjxkVjKB0jAAILFy4Ut9sdYG9sN6sNOLb46uiKgCKgCCgCioBfBJQB\n",
       "+4VFNyoCioAioAgoArFFQBlwbPHV0RUBRUARUAQUAb8IKAP2C4tuVAQUAUVAEVAEYouAMuDY4quj\n",
       "KwKKgCKgCCgCfhFQBuwXFt2oCCgCioAioAjEFgFlwLHFV0dXBBQBRUARUAT8IqAM2C8sulERUAQU\n",
       "AUUgnggwd8OmTZviOYWYn1sZcMwh1hMoAoqAIlA3ELjyyiulYcOGFSglJUWuuuoqKSwsFMuyZM2a\n",
       "NRXAeOihh+Soo44q27Zs2TI58sgjpVGjRjJ48GDp1auX3HrrrWLbtumzbds2M86GDRvKjuFK5XEq\n",
       "7HToD2XADr0xOi1FQBFQBBINgQceeEDIIL3ENI+ZmZly7rnnBnUp+fn5Mnz4cBk0aJAsXrxYmKVq\n",
       "ypQpMmnSJDnnnHOCGiOROikDDuJubVixMohe2kURUAQUAUXAi8C0adPkvPPOEzLh3r17ezdXu3zy\n",
       "ySelS5cuctNNN0nr1q1NX+Zpfu+99+Tll1+W1atXV3t8ou2sM7mgI7kxz5zxswx+LF0O7H10JMPo\n",
       "sYqAIqAI1AkEduzYISeffLIpfsMc/L6NxSWysrLKNk2fPt2orLlhzpw5su+++5bt8640btzYMGYy\n",
       "9WHDhnk3J/xSGXAQt7CDbck366bIgaIMOAi4tIsioAjUMgL21q1ScvQJMTlryv33iLXXgJDGvuSS\n",
       "SyQ7O1seeeSRKsex8IFv8QOvbZcd169fH1Bazs3Nlby8vCrjJfIGZcBB3L1OGRkyJ6+ezJHp0lv2\n",
       "CuII7aIIKAKKQO0hYMFhKXXSV7V3wmrO9Morr8gHH3wglFYz8O6s3G6//fYy9TL30Xnqm2++Md36\n",
       "9Okjf//9d+VDzO8VK1aYkoGUntPS0oyduXnz5mV9aT+m41YiNbUBB3G3snIs6T+rv3wkbwTRW7so\n",
       "AoqAIlA3EaDjFKXf559/Xjp37hwyCEOGDDH23l27dlU49rfffpOVK1dKv379hF7VHTp0kOXLl1fo\n",
       "s3TpUunYsWOFbU7/oQw4iDuU1S5NWs9vJXmyQpbJX0EcoV0UAUVAEahbCDBu95RTTpGTTjrJeDIz\n",
       "htdLtAkH0xh+NHDgQDnjjDNky5Yt5pDZs2ebWu4PPvhgmUQ9YsQIufHGGw1T5th00HrnnXfk4IMP\n",
       "DuY0jumjDDiIW5HdIUMK1qbI4XICpODXgzhCuygCioAiULcQ2Lhxo/z+++8yceJEadasWQU69dRT\n",
       "gwKDccIvvfSSCV3q2bOntGjRQo4//ngTxnTRRReVjUFmzH3du3cXeknTseu2226ToUOHlvVJhBW1\n",
       "AQdxl7L3bCA7NhaBAR8uH8irsl7WSAvxuMgHcbh2UQQUAUUg6RFo1apVWbKMQBfr63Dl7TN+/Hgh\n",
       "eRttvC+88IIZixI0mXnlVr9+fWNnLikpMVI2mXEiNmXAQdy1el02iQ1fgpT8z2VUVo58IjfJ2XJY\n",
       "EEf669IVG/v426HbFAFFQBFQBEoRoDTsj/n6AkR7cKIyX16HMmDfuxlgfUdaprgy82TpTJcM6NxX\n",
       "bms0UQ7Yuq9k25kBjgi8OStrvDRo8CI6tAvcSfcoAoqAIqAIJD0CyoCDuMVf/zhEpsybJ5/e2El2\n",
       "tK4naw4vkHH59aTF5NODOLpilxUrhsnnn68BE1YGXBEZ/aUIKAKKQN1CQBlwEPf72GNFOvSYLBlj\n",
       "m0iPi1vLWjlRbpHL5OFxJ0s9/AuljR+/BTlOdyCeLZSjtK8ioAgoAopAsiGgXtBB3tGslm7JX1po\n",
       "ereSXOkp/eU7WINDbTk5KchnWhDqYdo/iRFwP/2M2L9PTeIr1EtTBCoisBWZu1gdqa43ZcBBPgFZ\n",
       "uSmyfUVRWe+j5CSw37elBP9CaW3a1JNVq4pDOUT7JjkC9qefi/3VN0l+lXp5yY4A43G9pQjpyexy\n",
       "ucp+H3aYx2mVGa/23HNP6dGjh7Rr187E/M6cOdNA4y0z2KZNG7OP+9u2bSvHQgW5du1ak4YyNTVV\n",
       "WK6wcmP40bPPPlt5s+N/KwMO8hY1aJ8m+avcZb07SlcEIrWRnyEHh9JycrLBgK1QDtG+SY6AvWWr\n",
       "2PMXJPlV6uUlOwLM/ewtQ0hGyzSR3t+fffaZFBUVydixY+Wpp57CO3CVrFu3ziTcIIP1bWTITEdJ\n",
       "YhIOhhrdcMMNQsY8atQoef31irkYyJD/+OMPM7bvOImwrgw4yLuU2TFTClH/2XZ7ikLzsCMhBYea\n",
       "njI3tylU0GlBnlW7JTsCNl5CVgvks928WezSzD/Jfs16fXUTARZgKCgokPT0dAMAJWSmrWTiDmbR\n",
       "8teaNGki+++/f1lWLFZWqsyA//e//8kxxxxTVlHJ3zhO3aZOWEHeGVeLppKRtkPy19qSjdzQbH1l\n",
       "INJyPC0z5XfpJ/sENVJubjpUKa3QF9xcyhOJB3Wwdko+BP5eiYi0tiJILCAzZ4kMT55Sa8l3s5x8\n",
       "RfmY3N0xmuA5GLdTxGOzMAPr/DKN5MiRI+WII46Qo48+2ki1voNPnjzZFFUgU164cKH85z//KVMv\n",
       "U1pmRqx5iEqhGpuNxR/8VV3yHdOp68qAg7wzFrKxZKWtN2ro7JxyxcFRcrJ8iPSUwTJglLWEKiYL\n",
       "Dghr8c5VBhwk/EnbzV7xt1iwdUmbXLFnzBJLGXDS3uvYXhijMY6K0Smi954iAx49erRQan3ggQfk\n",
       "yiuvlHvvvdcsvZO/+eabzepff/1lii98++23pgoSN2ZmZhpVM6XgW2+91VRcYhUkMvREbMqAg71r\n",
       "zZpKljVXdqx2C+VXbxskw1Ej6VlZIgvwjdjNu7naZW5uMaTgrSgwXW033VkXEAADlvbtxOrTW9yf\n",
       "fVEXrlivMSYI8FUenBYuJqcPYlDacun5vO+++xpiGcKPPvrIMFRKw61be9L7fv/998Z+PGvWLCMt\n",
       "0xbc3yduk2ro//u//zMMmNIvCzdQnZ2ILTFnHQ+kIQFnu1dVcMTiNFLw7wgZCyn4jaBnhbrScEKg\n",
       "ykhbXUfAxsvFogp6T3yNoRg5C6trUwSSEQHWCKb62bex+hFrAC9YUNUJsW/fvnLHHXfI2WefLWvW\n",
       "rCk7bNiwYVJcXCzTp0839uCzzjqrbF+irSgDDvKOWQ0bQgJeJ9v/rhpCNBx5oefLLJRoyAtqtNzc\n",
       "NDhiVax3GdSB2in5EKANmBIw8t4KpGBjB06+q9QrUgSMrZc23dtvv10YB0yJ+L333pP58+fLfvvt\n",
       "5xehcePGSadOneT6668v28+/FUrBrIDE+r9duzK/fmI2ZcAh3LesVrbkL9tZ5QhmwzoY9peP5c0q\n",
       "+/xtyMnJhARcHtLkr49uS34EbBYdRwiSoIoMm9W/n9h0xNKmCCQhAo0aNZJJkybJG2+8YVTMjBWm\n",
       "DZiScaCiC2S2jz76qHG0+vnnn8tQodr5448/NtJx2cYEXKHhwFGNnm/bt28Xup87rWW1SZEdi6pK\n",
       "wJznaDlarkKNpLGgRlL93HNzG8mPPzoOeqfBnfzzgfpZ2rbxSL+4WqtfX3Hf+0DyX7deYdIjMHjw\n",
       "YBPnW/lCBwwYIHPmzDG2YDpPMVbY25jEw1+5wkGDBhlp2duPyy5woPHX17dPIqw7QgJmgDYDrZn5\n",
       "hDFiLLDMr6PevXvL888/7xgc6+U2ENlZJEU7ymOBvZNrALZ7gIySz+Rd76aASzLgVaswllSVpgMe\n",
       "pDuSDgF6QJsQJO+Vdd1TYJsQGx+g2hSBZEaA9Xx9mW8yX2t11+YIBnzZZZfJn3/+KZ988onJnMKA\n",
       "bWZKYYD2k08+KU888UR111Br+yx+GDTIlx0B1MeHywnIi/Up2GphtXOis9/69S3E7V5dbT/dmeQI\n",
       "wP5rHLBKL9OiJ2fvXmoHTvLbrpenCHgRcAQD/vLLL016Mnq9MZ0Z9f60FwwZMkToqv7+++975xvf\n",
       "ZXPEAmdskXyEIvlrLZCcsq/sLV/DGlxdS4X2uUkTN1Q0TMahrc4iUBqC5Hv9xg48Y6bvJl1XBBSB\n",
       "JEXAEQyYqubvvvvOL8Q0tLdo0cLvvlrfiFjg7NSNsiPPPwPmfI5AqcLPoYauqUhDbi6lfFU11vo9\n",
       "dNAJbUrA7dtXmBHtwPbM2RW26Q9FIJkRWI/wO2o962JzBAO+7bbbhMQA7VNOOUUuvPBCOfnkk00W\n",
       "FLqp33nnnY64N8yGlYlqwIEkYE6yg3SRtvj/B8jB1bVcVFfSsoTVIVQH9pWGIFW40m4IqcjLExuV\n",
       "ZbQpAomGALNbUYP58MMPV5g6nWtp8x0+fLjZToY7YcIE4+9Dhy36/TCelw64bKxsxNSV9Asi5SJ5\n",
       "AqsoMfsVj2XqSfKLyi0Pfzu0L2/YkBjaRUcwYHrGsZoFc34yTVmHDh3koIMOMjeRHnN77LFHZZzj\n",
       "85sScMmqgDZg76TGQAquKSQpJycDErD/BOTecXSZvAjY+OqXrEyxmAPap1kpKR478CyVgn1g0dUE\n",
       "QoBVi955550KM2Y6Sd9sVayOxCxWS5YskcWLF+ObM8/4/TBG2NtogvRWRaJPELNmkcHTZElBjVWT\n",
       "eKxve+2114SlDxPFwcsxsTD82mGWFCeHISFYTbJ2rqhWAubD0FsGIDK4nkyXX2QvGez7fJSt58Kj\n",
       "esoUJF/QVjcRqOwB7YOCRw2NvND7DfHZqquKQGIgwKQaU6ZMMWFILVu2NJN+8803TcUib8YrhiBR\n",
       "Uk5L81SGY9QLI142btwY8CK7d+9uwo+YxIMMloyWOaFvvPHGsmNefvllo00t2+DwFUdIwIkShmTB\n",
       "MSyzZLUUrHOLu6RqKJLvvR5jShVWrFvpuz83tzG++JhAvfpxfI/R9eRBwNh/WYTBT/M4YmlCDj/Q\n",
       "6KYACNCECmEyJrQzxGjJFGhxxowZY7JccboUqsiQvepnbmPuZzJnajfPOeccIYNm7od+/fpxt2mb\n",
       "UaLz66+/NkRH3EsvvdRIvBybjSpr39KErB28GmF8hx9+uNmfCP85QgJmGBJzfTIMiWnH+DXEQs5z\n",
       "586VK664QnbiCWAJKic0V/MmUh9xywUsS5gbWIIdJMPkNZkoi2Su7Ck9q0w9JycdDwu/DqGKFM9X\n",
       "YpVOuiF5EfDjAV12sd1R1ANJOmxKCfhb0KYI1IQAyuzCV6amXuHtv+YaQem/0I5l2UBGsNCf55tv\n",
       "vjE1fVNTy9kN3/FUS3/4IWrJQYo9//zzzXufTrd77723ORmrITFT1g74QyxbtszUDqbKmceykYmz\n",
       "KAPNlHTkpUr7tNNOK5OqTSeH/1eOSBwnSp0+04x5q2FwKr5hSMz56RQGbNTQBTuNGjo7N7ACwRJL\n",
       "jjRS8BvIkHVrFXQhTOPLMFPy89figVIGXAWgJN/AIgyuwfv6vUpjB+6JNx7twEP8mzD8Hqgb6ywC\n",
       "iN6E45JzLn/UqFGmShGl2LfeekuOP/54w0i9M6RQRRX02LFjDe1CWtZrwOnPO+88mTFjhum2zz77\n",
       "lEXH/Pe//5XHHnvMOG55x2DSJjrr0u5L2/Grr75q7MTe/YmwDMxBanH2CROGREzoiJW5vUZHLHYd\n",
       "JocYCXiVrODPKq1NmyJTlrDKDt2Q/Aj8vbJiFqxKV+y1A1farD8VgYRAoF495Mc/+GCT55khpnSq\n",
       "9W1UO1NC9jb2v/rqq4XFGvylmLz22mulc+fOhkF7j+GSamiqr3/44QeTT9q3bKFvP6euO0ICZgjS\n",
       "qaeeajzcCDJzgtLQPm/ePGM/+PTTTx2DnwXjf9aOwMk4fCeaLunIEX2M8Yi+QKDHqdRyIUGvXr0D\n",
       "1Twq7dCfSY2ADROGbNosUPkEvE7agd2PPRlwv+5QBJyOwHHHHWdSDDPMiAzWtx1zzDHGpkuGOXLk\n",
       "SGNmZBTMgQceaCRj377e9ccff9yULqSa2msHppRM1TYl5LPPPtvbNWGWjpCAqwtDoqu5r2o67sg2\n",
       "bSJZqRuCkoA5VxZp+F1+lM1S1bsvNzcVEjBextrqFgIroBHxKcLg9+J7dBdZvkJsFDDXpggkIgL0\n",
       "Ul65cqWQEVduJ510ktx0002mrCCzH7Ia0qJFi+Sll16q3LXsd7du3WT8+PHGLkyVtbdRCv7888+N\n",
       "EOfdlihLRzBgxnpdcMEFwuLM1OPTLkCjPL3m3n77bWNLcAyglIDtNUEz4CzJhip6NIo0VIyL4/Xk\n",
       "5GRBAq6bGWAccz/jMBF6QFcowuBnDha+6qUnmLDGA/tBRzc5FQE6TdEmy9agQQMj2dL+y0amO3ny\n",
       "ZLPO/8hM6XxLJr1lyxbj7eyN36Ut2F92REq6ZNS+EvU//vEPKS4uNl7VZYMnyIojGDCDq3NycmTq\n",
       "1Kkm//OwYcOMLcCJGFqwAWftXhk0A+Y1sEjDJCSoLJD8CpfkCUVyhBWgwrz0R4wRAAO22vsPQfI9\n",
       "s9qBfdHQ9WRFgEyX2avqYnPE2582XmbC4k2gPbhnz55yyCGHGMO6424KVNDpO9aZabEsYXp24FAk\n",
       "79ybSQuk5hiE5JQfyVFysncz0qs1QCww3KFN9aS6+QCWgVGXVhiCNGifGq+YDNj91DM19tMOioAi\n",
       "kJgIOIIBk+FS+h06dKhBka7lTD1GGwLjyIJtjBFbhngxf+2XX34xuUX97QtpG77WkGgUMcAuU5Sh\n",
       "aTekDgyiMSTpTrlODpPjJQ3/2Fq14lDNUWx6laSkdA5iFO2SDAhQBe06oapdrMq1MRRp6TJjB66c\n",
       "srJKX92gCCgCCYeAIxjwuHHjjN2X9oPrr7/egHjVVVeZxNzcRo+5YNry5ctNPLG/vr/++quxSfjb\n",
       "F8o2q3FjkR35ktVHTCxwsAyYBRo6SVcUafhKRkApzca0v82bl8jatRshDSsDDuU+JHTf6pJw+FyY\n",
       "xTR93fYUmfOnyD4DffboqiKgCCQDAo5gwCzAQOmVibl9GxNw0BGrcsJt3z6+63RnJ/lrzDFKg39U\n",
       "GtTQWQ0LYQf2SLLBjkkpeKLcJwdCDmaiDjaWJVy9ehuWwY6i/RIZAVOEIbO+WJmZQV2Gtz6wpQw4\n",
       "KLy0U3wRuPfee+Wnn36Sd999t2wijO9llkOmlfziiy9MRitvidmSkhKT2er000+Xm2++2STbYD7n\n",
       "3377rex4rrBYQ5cuXeS+++4TOl2x0ROaMcOsI8DGc9M565lnnjGpL83G0v/2339/oaB3xhln+G6O\n",
       "+7ojnLCIAtOL9enTx8T9MnuKtzEujB5xjmpwmc/OCi4Zh++8u0sfRAbXk6WysGwzyxLm5e0s+60r\n",
       "SY5AEB7QvggYBqz1gX0h0fUEQoCaTKacZC7otm3bmplHUuXo4osvNmmKmar4kksuMdEzXCcxkibR\n",
       "miMYcKIUYyi7ucyGVW9zjVWRyvr7rPSU/jIbdZK8LSenPiRgLUvoxSPZl6YIQ/v2wV8m7cCLl4jt\n",
       "E/cY/MHaUxGIHwJkvpRkJ02aJF6J199sAlU58u1LqZjxvsnWHKGCTqRiDHwALEjAma71UEGHnsKq\n",
       "j+xtMmMdLaeYZ4me0N99V7MndbI9eHX2epiEI4gQJC8+FvLdStcuHjvw3nt5N+tSEXAsAlQL03fn\n",
       "0UcfNU6xzOvv27xVjriNhRaomqaZ0Zvdioz2lltuKSszGGqVI5oyyfx929KlS31/OmbdEQw4oYox\n",
       "8NY1BwPeuVoKN9imLKErJXgG2kP6ycNyu+zCv3r4l5vbBB7fDEFiQg5HKCR4hdpihIDxgN635hAk\n",
       "39ObeOAZM8VSBuwLi677ILBdtsrF8DGJRfuH3C29oLkLtjErFc2JBxxwgElF+eKLL1Y4tDaqHLlZ\n",
       "nzEBmiMYsLcYwymneKRCX9yY97M69YVv31pbb9pUXHPnSf3mVo1lCSvPiUy3k3STeTITj/S+YMCp\n",
       "UEGzGhLLEiIuSVtyI0AP6HYeW1iwF2ryQj//UrDdtV8dRKCBNJIX5JOYXHmKIFwjhJYLj9LPPvvM\n",
       "ZLfq27evnHDCCSbLoXeIWFc5YknbBx980Hs6s/z9998r/HbKD0cw4EQqxsAbx2xYbnhVm1jgVW6z\n",
       "DOWGUg09W6YZBswyYpZVD04Ea1GEQhlwKDgmWt+yIgzI+hZS691L5K/FwuONSjqkg7VzXUEgVEYZ\n",
       "K1z69etncjszv/OECRNMLgdKw02aNKlySlY5osRMR9sPPvigbD/V0CzQw4RMHCfRqhyVXUgNK47Q\n",
       "eVZXjIHFlvfYY48aLqOWd0MFLRvKGXCoZ+8jexkG7D0uN3c31NBbvT91mawIIOe5tMkNWO0l0GUb\n",
       "ptuls8cOHKiTblcEHIgAbbFMM0w/n0CNVY4oMVPb6W2JXuXIex01LR0hAXOSjOUaMWJElfkuWLBA\n",
       "CgoKhEzaMQ0qaNm0SbJyXGF5QndEQo4tsslQY2lqYoBXrcqX7si9ry15ETBFGEJwwPJFwurfV+yZ\n",
       "s8Tay0F/B74T1HVFwA8CKcg29OyzzwoZKovs+Gu+VY5YQ9hbaIFSMGODeXyyNscw4EAAv/XWW8IM\n",
       "VxMnTgzUpfa3U5WybbtktbJl04LQjf1MwtEb2aFnyVRTKSknJx124PLyWrV/QXrGWkEA9t9gijD4\n",
       "m4uxA7/0ir9duk0RcAwC11xTte451cesVuRt/vI6sMoRybcx4YY36Ybvdu/6/fff710tW5Jpkyq3\n",
       "H3/8sfImR/x2PANmzUinNcuC13OTxpKVuR0ScHhFFLx2YJYqbNMmS+bOtZ12mTqfaCPAJBz77B3e\n",
       "qLQDL/xL7cDhoadHKQKORMARNmBfZHbv3i2+mbB89zlqndmw0jeFVJbQd/5kwHNKE3Lk5DSCDdjx\n",
       "30K+09f1MBCwKQG3q7kMob+hLaTYk86dROB9r00RUASSAwFHMOCEy4TFew9P6PSdG81TULQ9dOm1\n",
       "OUKO6kumrJAlsAE3gAoaRR4q1Qs2g+t/yYMAQ5DCtAETBKtfH7ERD6xNEVAEkgMBRzBgesj9+eef\n",
       "JmE3c3oyiJrlCGn3ffLJJ+WJJ55wHNrMhmVv3CQN2qAsIUKRwml9ZSDswNOkJcKAN270lCUMZxw9\n",
       "xvkI2ChhKfUzxELO83CbScgBRyxtioAikBwIOIIBMxPWU089JQzazkZgLG2sTF/GpN0PPfSQvP/+\n",
       "+85DGxIwuKbxhA6XAfdGOBLV0C7chZYtd0MK3uS869QZRQcB2n8jkH7NJPr0Fpm/UGwfh5boTE5H\n",
       "UQQSE4HCwkKhBjVRmyMYsDcTlj8QHZkJixOFBCyQgJmMI391eBJwL3hCLwQLLsY/liVctWqbPwh0\n",
       "WxIgYIowhGn/9V6+VR8Ofx07iMyb792kS0XAUQiwJOBxxx1XYU4sR8iCCytXrjQhRQw5bYe/BRKz\n",
       "Zu25555y6623Gs3nI488Ivvuu2+F4/mD5Qjr4/nfQE0SGssassRgz549zdjHHnus0aKanQn0nyM8\n",
       "fxItExbvrzcbVlY3F0KRSsK65bQBt0diygVgwjk59SABa1nCsIBMhINCLMIQ6JJMPDDzQvftE6iL\n",
       "blcEHIMAE3F89913phyhN6UwNZvc5m3z58+XwYMHy6BBg4TpiBnKxOIMnTsj+Uxpe+211+Swww6T\n",
       "5s2bG43ohRdeaDJoMT8Eiz9Qg3r88cfL1KlTjRbVe5zTl45gwN5MWD///LOpnrFmzRqT//miiy6S\n",
       "YcOGhZw5qFZA95GAV3xXHuMW6rk93tDTEIo0ChJweIw81HNq/9pHgB7QroFhhiD5TJd2YPebb/ts\n",
       "0VVFwJkI+JYjrFwRyXfGgcoR3njjjWXdWI6QghobmS3XvcmZaLIcN26ctG7d2tSTLzsoAVYcwYCJ\n",
       "U6BMWI7F0KSj3CBZVEGH6YTFayMDflEelUNyjpE5cxxhEXAs5Ak9MdqAQyzC4Pd6KflOuENshOtZ\n",
       "qY758/U7Vd1Yewjs3mXL4g9jYwttNzxNMlsG/26KdTlCSrleZuyL8DHHHOP7MyHW9S843NvEbFhb\n",
       "t6Eiki2FG0MvS+g9bWfpLmtltTRq64IKOgObKQWneHfrMgkQMEUY4C9gco5GeD3GDrxHe48dmE5Z\n",
       "2hQBIoBIyML1oYdDBgNeSXFo48ayHCEdrpgnomHDhsFM3fF9lAGHeYu82bBcWzdLZot6kr/GjZCk\n",
       "0BknK5j0RI3gzW1mwtGgNWazDhRitZwwr0EPqyUE4HwSThGGQLMz8cDMC60MOBBEdW57aoYl/S/m\n",
       "B3z8WyzLEaanpxunLdYUZg5p38ZtLNyTlpbmu9nR68HrFRx9GXGaXKkd2FOUIbSvRN8ZMxxpYb1p\n",
       "kp6eihqa63136XoyIBAt9XMpFswLrQk5kuHBSM5r8JYjpBPVhAmecoSBshuyHCH7Vc4PzXzOb775\n",
       "pvzwww9VyhHS9ksp27dt3bpVBg4cKJMnT/bd7Ph1ZcCR3KKmUEOjKlJ2BMk4eHpPXujp0FCyLOHm\n",
       "SGakxzoQAZOCMtIYYN/roh0YKSntEnXa84VF152HQCzKEd5+++1Cp6wXXnhBdu3aZUKUxo8fb8KX\n",
       "DjroIOeBUM2MlAFXA05Nuyy4xNuoC2wk4AgcsXKkLeojiTTqvhYMuKCm0+r+REOAKSij4YBVet0m\n",
       "mxZjiucvSDQkdL51DAFvOcI33nhDPvjgA79X71uOkAzV2ygFU9I99dRTvZvMkhIzGTC9oen53KdP\n",
       "H+P9/Nhjj1Xolwg/1AYcyV0qzYaV3dElK+aHH4rEKVAKXtRrERyx2kQyIz3WgQgwCYfr2KOjOrMy\n",
       "O3CvnlEdVwdTBCJBoLbKER555JFC2rFjh7H5emsIRzL3eByrEnAkqPvagCOQgDmFPsgLvb3DQkjA\n",
       "4duSI7kUPTaGCCxfIULP5Sg2tQNHEUwdKmERYOriRGW+BF0ZcASPHrNh2cgHzXSU4eaD9p6ejlgb\n",
       "Wi6SvNV6S7yYJMOSz0ekRRj84kA78Jw/1Q7sFxzdqAgkBgL6to/kPpVKwOnZlliIQNq1Nbyc0JxC\n",
       "tjSQ9ml7yJKU7filOaEjuS2OOjbKHtDea7Pw5Y/0aSILFno36VIRUAQSDAFlwJHcsFIbMIfIzoEU\n",
       "vDoy9fE+GXvLxpy/pbh4dSSz0mMdhIDxgI6wCEOgy/HagQPt1+2KgCLgbASUAUdyf5qiJOHmLSYZ\n",
       "eKQpKTmNvtZAcQ2YrWUJI7knTjs2SkUY/F2WsQNrfWB/0Og2RSAhEFAGHMFtsljItxFSoiE1mkcC\n",
       "Dl8FzWl0lV4ibfNkyRpPya0IpqaHOgQBTxnCtrGZDQozyOw5Yrsje+5iMzkdVRFQBGpCQBlwTQjV\n",
       "tN/rCR1hUQaeJhX/2mzvJtN2zq3prLo/URCgDTiaSTh8rttq0EAQCCmy6C+frbqqCCgCiYKAxgFH\n",
       "eqdKqyJl53SQFd9GFgvMqXQr6i9/uqZHOis93gEI2MV4HpCoBcWeYzabsvrA3brG7Bw6cPwQcEO7\n",
       "wVhXbbFDgAUe4tWUAUeIvAU7sL0JKui9IytL6J3GXmlD5Md0rffqxSOhlyzCkJsjxlQRowsx9YE/\n",
       "+0LkpLExOoMOG08EmkHDdvLJJ8dzCkl/7m3b4hd1ogw40serVALObGlFVJbQO41+zfpK/uYSWS95\n",
       "0kI0K5YXl4RcRjkFpV8MaAe+5z7jCGgqdPntpBsTFYF33nknUaeeMPO++uqr4zZXtQFHCn2pDdhy\n",
       "WShabZmyhJEMmYNwJnvWXjJLvo5kGD3WAQhEvQiDn2uyGjUSadFC7cB+sNFNioDTEVAGHOEd8mbD\n",
       "4jCeogyRxQLXrw/H6hW95LfCXyKcmR4edwRilISj8nVpOFJlRPS3IpAYCCgDjvQ+lUrAHMakpFwd\n",
       "eUhIhx1dZWYx0gzin7bERcCEILVvH/ML8DpixfxEegJFQBGIKgLKgCOF0zcbFnNC50WBATduIunb\n",
       "s2WxzI90dnp8PBFYvjxmIUgVLot24FmzjR24wnb9oQgoAo5GQBlwpLenNBsWhzEq6ChIwLm56dJw\n",
       "RUeZLRqOFOntidfx9qZNgjItYnI2x3gSVuPGItTELF4c4zPp8IqAIhBNBJQBR4imlYIqDA2yxWY2\n",
       "rChUReJ0cnKyJX1BJ5mjDDjCuxPHw40HdLtamwDDkewZs2rtfHoiRUARiBwBZcCRY+iRPqJUlpDT\n",
       "yc1tKrtmdJalslB2SmE0Zqhj1DICteEBXeGS+pMBz6ywSX8oAoqAsxFQBhyN+2PswJskLcsSFyKr\n",
       "IylLyOnk5mbImr9zpIt0krmiL9Vo3KJaH+Pvv0XaxSgHtJ+LoSe0aGEGP8joJkXAuQgoA47CvbGa\n",
       "NxebKQfRoqGGxnCyfXsj6b67vaqho3B/4jGExwO6FlXQTZqIgGy1A8fjdus5FYGwEFAGHBZslQ5q\n",
       "ipcfnW7QyIDzI6wLzHFycoqlxZq2cMSaxp/aEg2BWooB9oXFEw8823eTrisCioCDEVAGHI2b4xML\n",
       "TE/oHasiD0XKzRVJWdFUtskW2SRanjAat6m2xjBFGNbjnvEm1mbr10dsVUPXJuJ6LkUgIgSUAUcE\n",
       "n+dgC/mg7Q0eJumRgKPBgFNl1aqd0lsGqBQchXtUq0OwCENO65gWYfB3PcYOrI5Y/qDRbYqAIxFQ\n",
       "BhyN28JYYFREYouWBJyTkymrV5dIH9kbdmBVQ0fjNtXaGHFQP/PaLGhi7I2bxF6ypNYuVU+kCCgC\n",
       "4SOgDDh87MqPLK2IxA3Rk4AbQgJ2gQEP1IQc5UgnxFqthyD5oGLtP0Tcl1wh7oceFXv2HJ89uqoI\n",
       "KAJOQ0DLEUbjjtAGXCoBR6ssYW5uYzDgbGkmjSVbGsgy+Us6IDBJWwIgQAl4AMKC4tBS/vNvsVev\n",
       "FvvbSeJ+4GFBNXexRo3wUBd9fuJwS/SUikBABFQCDghN8DtMNqzsLLG3bIHdr7QsYYQpKXNzLaig\n",
       "W2ESa0rV0JqWMvg7Et+eJgSpXe2FIFW+WisnR1ynnSIpzz0trnv+LZKaKu6bb5WSM88V94svi52X\n",
       "V/kQ/a0IKAJxQEAZcLRAN57Q0YsFTk9HhssGIhs2rIcj1t7qiBWt+1Qb47AIwx7ta+NMNZ7D6tBB\n",
       "XOedIymvvSyuf17HAHNxX3allFxwsbjfeEvs9etrHEM7KAKKQGwQUAYcLVxLs2FxOE9RhshLCebm\n",
       "lkANvU16SX9ZhJxYRfinzdkImCIMaWm1UoQhVCSsHt3FdenF4nrnDXFdfKHIyjxxnz9OSi6/Stwf\n",
       "fCT21q2hDqn9FQFFIAIElAFHAJ7voV4PVG6LRjYsjpOLpB6rVhVIhtQ39t8FkIO1ORwB4wEdP/Vz\n",
       "MOhYliUMWXJdfYW43n1TXKecKDLnT3GfeqaUXPdPcX/xpdgFBcEMpX0UAUUgAgTUCSsC8CocWqku\n",
       "8IY/iyvsDudHTk492IE9Uq9XDc2wJG3ORSCeHtDhoGL8F4YMFgtkFxWJ/eNPYn/zndgPPyZ2foGk\n",
       "vPqiWLWdUCScC9FjFIEEREAl4GjdNN9sWCYdZeTJONq0yYYE7JlgH9lL7cDRulexHIdFGNo7WwIO\n",
       "dPkWHA9cIw6UlDtuFdebr4rrzNPEfuHlQN11uyKgCESIgDLgCAH0Hm5BArZRkpDNqKDzImfAOTlN\n",
       "wIDhjYXWWbrLellrUlOaDfqfIxHweEDXXhWkWIFgZWWJdfyxYv/0s9i7dsXqNDquIlCnEVAGHK3b\n",
       "zxJGpRWR0jItSQHfjEZZwtWrMS6yQbvwr5empYzW3YrdOCsSVwKuDIrVqJFI715GLV15n/5WBBSB\n",
       "yBFQBhw5hp4RfCoicUM0UlIyw2V+fkPZuXONOYeqoT1QO/V/e/duERZhQBxusjTroJFif/VNslyO\n",
       "Xoci4CgElAFH63b42IA5pMcTOhqhSMVQQ3vyTPeGHXiO/BGtGes40UaARRhatxLj2BTtseM0nnXA\n",
       "/iJIaakhSnG6AUl9WiaE+Smpr7Cmi1MGXBNCQe63EPspmfXLXlRZdMSKUlnCVat2mFm0ljaSgn95\n",
       "gkQP2pyHAEOQEtQBKxCYVkaGx0N60veBuuh2RSBIBBgZMhX0BOhc0PWg10BPg6A9qoNNGXA0b7qp\n",
       "irTJjJjNusARpqPkQLm5LEtYnoCjL4ozzDIPcTQnrmNFA4FEC0EK9pqNGvrrb4Ptrv0UAR8E1mH9\n",
       "E9C/QIg3lzdAsK3JzaBXQPeA2Gc8CB+wdawpA47mDTdVkTye0NGTgD1lCb3TVDW0FwkHLhMgCUdY\n",
       "qA1E7DnCq+w1Hl+EsMbQg+oIAiW4TiYMeg6EbGtyGWgeaCSIIW3/BZ0E6ghiqw+6CTQGdBXoC1Dd\n",
       "acqAo3ivPdmwSkORoiQB5+Q0ggScUjZLMuB5kIFL8E+bsxAwEnC7xA9BqowqbdrWiAPFVim4MjT6\n",
       "2yCwBf9/Bfo3iFLuRBDDJ8lQKfFeAxoOygYFaodhx32gD0B3gjxmN6wkdVMGHM3b65MPmmUJd222\n",
       "xb07MkcsliVcvZoPrkcNnYWHuI20l4XyZzRnrmNFA4EVKxxThCEal+M7hnXwKGXAvoDU+fUFQIAq\n",
       "5MtB54F+B+0Dehb0MOh0UDdQKK0dOj8Eaga6GJT87zhlwLjNUWs+ntDesoSR2oEZ0bJmTSux7dVl\n",
       "02Q6ytkyrey3rsQfAXszPNUpKbKEVRI2q2cPBLbvEvuvv5Lw6vSSgkdgBroeAbofRKHg/0Bvgm4A\n",
       "HQxqDIqkwZlVxoHI2O8AkclHntQIgziyKQOO4m3xzYbFYY0dOEJHLDpXN2pky3rGl5Y2ZcBeJBy0\n",
       "NB7Q7R00oehPxUjBGhMcfWATakRKuGS6T4HOBfUBlZvI8CNKbSDGeRw0F3QtiI5aydeUAUfznvpI\n",
       "wBzWeEKvikwFzXE8ZQnLS8V1RU6sPFkh+XXETkIMnN6S1QPaF3fjDf3tJGhjIn+mfcfV9URBYC0m\n",
       "SqK9tjZaE5yEduUhoMtAU0DJ1ZQBR/N+Gi/ockk1GhIwp+cpS1hYNlPGAveQvkjKMb1sm67EGQEW\n",
       "YUhCByxfVK32kPCb4KU4c5bvZl2vMwh8hCsdDapXy1d8As53J+gF0IOgnaDkaMqAo3kf/UrAkdsv\n",
       "cnMz4IjFIPbyVlfSUu7eb7jYP/9SfuEOXUtWD+jKcGtqysqI1JXfu3ChX4KOjNMFd8F5HwPxfXop\n",
       "aDEo8Zsy4CjeQ5MNK6Oe2Nu3m1GjFQuck9MAoUgVJ1oX7MD2tOlitWgu9izGFTq8JVERhuqQtkaN\n",
       "EHvKD2IXV/wgrO4Y3ZcMCHyDi+gNahXHi8nAuRnadAboRtB7oMRuyoCjff9MVSSPGtqTDzoaEjDL\n",
       "ElZU+7RCMJKILUtkQbSvIMLx8nA8PGZNXGBkQ9kffyrWySeKPcPZKs+yIgx1oHA9Y91lT0gjv/wa\n",
       "2c3VoxMMgQ8w32McMmfGFD8E+h7EJB5bQInZlAFH+76ZqkgISUHzliXcuSUyJpybmw4G3BIjltuX\n",
       "UyVVzoar/qNwUijGP2c05qjmFyq9F9+OaEpM/m//PlWso8aILFsudmG5DTyigWNxcB4+OpKsCEN1\n",
       "MFkHjRK3JuWoDqIk2zcD12OB+jrouiiJ3wfqCmLM8DRQ4jXHMuD169fLbpZ3S7BmQQK2N5Qzymio\n",
       "oRs3RsRdUZYUFlZMBThABiElR2f50CQ0jzdQ9I6kWoh/DCNAlNh/BIXX7C++ElbiYWF46dldxMlq\n",
       "6DqifvbeSWv4ULzvpou9o25kK/Jed91dOkn69b0LZF9ngv4JehAER8gEa45gwGeeeabMnz/fQLdg\n",
       "wQI54ogjpF27dtK6dWu59NJLpTiR7E0+2bB4QZ6iDJGHbbRpUyR5eVVVLWeC4X2J9G2r45rInBI/\n",
       "/whOAVE9xHYa6H9mLZz/jPp5zOHmUKtfX7Ed7HlrIwbYSnIPaN97aGVmiuy9l9jf/+C7udbWGQal\n",
       "oVC1BTc/rJmRamRtnTCM8/SR/LWPS+Emp2gCg78ERzDgOXPmoPB8vpn1XXfdJd27d4fKdZX89NNP\n",
       "smzZMuG2hGnGE3pj2XSz20SnLGFOjgVMPBiVDY6VptJcjgWze87YRHz31NY650TJ92AQM+R426DS\n",
       "ldBthfYc/sFD6dW7l2fZv5+z7cCUgPHBWJeay6SmpGNO7Ta7pETcx50o7sOPFntn8oSj1C6KoZzt\n",
       "Q3Q+FJQeykEx7esusWXTghJZ+M4u+enWAvlw7Hb5Goq3nZv2iOl5YzG4Ixiw74V98cUXMmHCBGmK\n",
       "0n5du3aVO+64QyZNmuTbxdnrkIDtjZvK5pjFogxRqQuchlCkXWXj+q6MhnNEAZJy/CBf+26uhXWm\n",
       "orsF1A9E6bdyC08K9pV+zYg9oILGh5hT7cB1TQI292QwPrD+WlzB3FL57sfit/0+GELXPYVqcPvZ\n",
       "52NxCh2zDAF+4HwFgh9GHFtxvi2rfyuW2c/tlO+uypf3xmyX3+8plO0r3JK7X6qMeiRLjn6ngTTp\n",
       "khLHWYZ36tTwDov+UZR2c+FFOnjwYNm4caM0KM2pO3v2bBkwYED0TxijET0VkcoZMD2hl38ZuWok\n",
       "NzdTFi/278zlEpecL1eisuZNMkAGCws2xL6V4BR3gHJAFwY43f7Y/hJoKoip5WpudkGB2D/8KK6L\n",
       "LijrbMK7undDlbM5IvvuU7bdMSvL4Xy2R3vHTKc2JmKlpoo1DEzwm+/EOmlsbZzS2Jztl14R1yMP\n",
       "IOVwY3Gffb7YBx8kFhiytlggQA0HHa/oAFp7jfnzN8zZLRtml2BZIvn43axnijTrlSLdT06X5r1T\n",
       "jYNr7c0odmdyBAM+7bTT5KOPPpLbb79dtsL7NSMjQ1577TUjCT/22GPyzTe1r+oKG3JjAy5XQUdL\n",
       "AmZZwh9+CHy7OsIbcDDsr6/K08jUSk/kWDd6INIz8soaTnQq9r8KCpIB07sW9WetRo0qjGsZNfRM\n",
       "sRzGgO0tsMuzCEPDhhXmWxd+MCmH+7EnUd61lhjwCy+JNXKEmIxcANjCR5r7nvvE9fTjYrkcp8xL\n",
       "gkfgfVzD5TG9jpJiW7b85WG0ZLYkC7eyRZ8UMNoU6TQmHZKtC9v4rkm+FviNXovXevXVVwuJLQ8h\n",
       "Hdu2bTPrhx56qFxzzTWSnV0bEp05ZeT/mTjgcgZsyhJusYUPWkpa+A9Rbi7rAjfA/KgWyvA7z5OQ\n",
       "HP1qOQelCueCHff02yc6G/HSlfWgO0E1qX2Goc/LoBmg/qDqm/3JZ+L6v3OrdKIjlvupZ6psj/uG\n",
       "v1fWOfuvF3N+FAk+QGyUYfQyRe++aC/tlSvFRiEI18vlamcXpN8SeMvbb71Ta1J49dd1C3ZPAX1X\n",
       "fbeE2PsHZpkG6hOT2W5eBBvu27sk74fdQi1hMzDbtsPSpP/FGZLVqu58TDnuShtDtUSilyPV0QnF\n",
       "fPGoWulwVkhPKwvRsCxLyITz17gjepDhEI6KSC3E7V4dcJwMqQ+n/IvlGZQKK8G/2LTXMOws0AQQ\n",
       "rrXGxo8O2ocpBVffTKk7vNAtSMBVGsvhLXWeHbguFGGoci98NtRWakr340+JddopVTQNrmuuFPvV\n",
       "18Ves8ZnVvFY5d/bQlAuaH48JhDlc1L6PTqqY9puW/6eXCzfXJYvP9xUII06pchRsN2Onpgte4+v\n",
       "L3uMSqtTzJfgOoIBl8Cz8brrrpO2bdsahtuxY0fkfG8iffv2NarpqD4FtTFYJU/oaMQCw+QGxzS3\n",
       "rFu3odorGCTD4BfdSj6NMBGG/5N8gs10yqDki/jcoNsI9OS8q08paX/8mViloUeVh/bYgbt67MCV\n",
       "d8bzN6S/ZC/CUB28tcGA7emQxpZDyj7umCpTsfBlap16srjve7DKvtrd8BtO1w5Edfx7tXvqqJ+N\n",
       "H/n8iODfbeStaIct817bJR+dtEMWvVsk3camy5jXsqX7SfUkNSN8rWDlmSVikS5HMOB//vOfkO7W\n",
       "y1dffSU//vijDBs2TOgN/eyzz5oQpLfeeqsy1s7+baoilauho5WSMifHDTX09hqv/RyU7voYRbLX\n",
       "SzSlgu9xXkq/d4Ga1DiHih34mFUvBdtFRXDo+Vasww6peKjPL68d2GdT3FfrpAe0D+pW584i9euL\n",
       "/Sfrtka/2W63uB99wjjl0fHLX7PGHi+yeQuyc8XTV4QfpgeD+PxOB9FEk6gNnuZRCD3atrxEpt5f\n",
       "KB+fvF22LXfL0LsyZeRDWUbVHA2bLhku00f873/Ivwe3l+mEPcGaIxjwxx9/LA8++KD06NFD9ttv\n",
       "P7n88suFzlf77LOPYcKvv/56QsFqIYTK3rSpbM50xMpfjaclwpabm4JQpIIaR2khrRE4cKI8L4/U\n",
       "2De4DnyymV7yDhBTwIXTRuKgVaB5fg+2J01GrvdewkxigZqHAVP97aBWx7Jg+UPeSMExSk1JnwBp\n",
       "1NBkRfN3bm6jA5br2qvEhpraWwglUN/YbN+KYWeChoLqg0aDyMQSsRVi0vyQGRP25Ff9UiyTrsmX\n",
       "764skPrNLTn8lWwZ9I/6UQkTQnoI+RDQ/utfIkcdJXLPPcYNQU48URAtE/aU43agIxhwr1695Lvv\n",
       "yh0XfvnlF5MJi6gsR4hHo0oesXFDK9gTx0gCZlnCvLzg0nMeLidA6btWfjUJy4OduL9+ZJj/AeGJ\n",
       "lw6gcBudtSgFv+J3AKqfXUcc5ndf2UavHdghCRiYFELWQdJp06ZsinVxxTDgb78Tg0cUATAhac+/\n",
       "KK5LxtU4qtWtq5hKTfTKrvXGd9cQEJkvGziDfAHayR8J1phLoB+oRUjzLi60oV7eJZ+ctl3+fH6X\n",
       "dDgkTY58K1t6nZkhGY3DZzP0xyVruPdekZNPhk/25SJzoWw54ACRF18Uee45kUsuEfgLwZ4a/mlC\n",
       "utZodvav04nmGYIY64orrpAjjzxSHnroIdm1a5f89ddfUCdMl08++UTGjRsnb7/9dhCjOKgLbcA+\n",
       "TiEeCTgyJyxeHcsSTpkSnM0kBd7J5yMc6WG5HZF8A/FqyAwDoOU45jbQtaAeYRxf+RCq6MiA6awC\n",
       "e25ps1nMHl6uMgR/RdU0YwfutqfHDrxPcGFN1QwX+S547EurlmIhDKkuN6tVK5H27UVQPEOYoCNK\n",
       "zX7lVbHwTFhdugQ1onXeOeI+6zyx/5gh1oCaPe6DGjSoTlQ/X+DTE3iY+FluP9JneyKsfoBJXhH0\n",
       "RBmzuwgZqZYh10Hrgaky6Ib60rxX+GwFlihB6geZikdp2jRGxSB2Ardy773FSLl8zJKphY9UFFHY\n",
       "f//9TerJD6FbyESe2UMOOUTS0tIMLVy4ECYm75dlFE8ay6FYEWkuJUdPYzrK6GTD8pYltDFwzYyY\n",
       "oUj9ZV9Yg5+Ts0wRa++MglmuRacbQReCosXsyKjwGWtyRN+KpadRzWgdOjooRua1A1tOYMCqfvbe\n",
       "QrFMakrY8KPEgOnVbELSnp9Ydo6aVizkD3BdNV7c9z4gLhxnIhJqOiji/UsxwnYQpUbfdix+3A9K\n",
       "JAYMjmeKqPT2vZAq6/RmXj+LYURFSJax28TqHvJstmS2CF0EZZr/JUs8zJYMl9Itv7cG4pVDaRdW\n",
       "SYbZJ21zBAMmuky+cSIV+T6tFb+sE7DRjunesLFs5mn1LUmpB4XUZrdkNAn9IfUOlJubhg8VYkIH\n",
       "j5bezdUuT0FajmsQHzwUDiKdpFu1fct3bsHqP0FklgeCotnopPIaaDGos1Fb2p9/Ka7HHw7qJGTA\n",
       "7onPBdU31p1MCFIdKsJQHZ7WgcPE/fQzJl2oFYUPZveTYKBwrqI/RSjNGrSvWN0QG/ziy2L933mh\n",
       "HBpmX0q5B/k5the2ZYN+BQ3ys9+Jmyj9HlPtxJgScsbju0yfrieky5Bb6ktKes3CQOVBab154w2R\n",
       "N9+ESyfkFUq4J5zgkXaj8PhUPp1jf4fPDRx7SQ6YWKVsWJwRPaGZUi2SxmRLbneG7NixLuhhmJby\n",
       "NKjHnkW5LviTBnFcAfrcAOJLZUwQ/UPtkoYDGKrxqufAH34U6dhBrGCL2dMOvGSpMxLx1+EkHJ6b\n",
       "V/6/yQTWt49JI1q+1XcN3jNBNpspR+fNF+tEvJHDaNZlFxvp2V5K6TSWDVxEvgUdHOAklIITJSSJ\n",
       "94emoeF+r4U23qn3Fcq0+3fK3ldkyGEvZEtnZKkKh/nOmCFyzjkiqMFjbLjPPy+oegcLFMzodYn5\n",
       "EmhHSMD33XdftSUHWR3pmGOq/zLz+9TEa6OJA95U4ezelJTNelbYHPKP3NzdkIK3oFBF8IceAGY6\n",
       "GU4hX8r7CC44rpoDYYAxxRX6YnlqNf0C74LPHOz5Iv/4B0YIOMThGACfv7JM3FQ/B4j99XcWo1Z0\n",
       "iB2YErDr8EP9TbNObjPOWMhMJchQ5WlkUPjAQlQ6ZB3QWaArQI1AgRvDjqwLzw9bhWxBpKL06/4v\n",
       "VNGPPSRMhhOb9juGbQvKCTD8UGx/BrQE1ClAH6ds/hATOQyUXmVC62bslt/uLpRWsPEe8ny2UKMX\n",
       "Ttu8GbEUj3tsvJddJgLLY51vjpCAWXKQscCsCfw3HHIqE4szJFKjLUpSXGKXlljk3D0SsB3xZeTm\n",
       "+i9LWNPA5+HF9x5sr5tMQgx/vfmyvBNE1XbNXqf+RiDzvfJKQQiZyJdfQsZ91V8vbuMf+fHIFjZR\n",
       "ZMFCzsinAQAAQABJREFUk9Q/UE9/240d2An1gZmEo307f1Osk9usA/BGRTywvfUvXP+LoNNBZL78\n",
       "4FoEom3xKlDgv2f3l18Zo59r5Aj0C78Zj/q0VDHVk8IfpoYjMdeA0i8PpfESX6P48HV2K8T0vgEd\n",
       "UWGau3fZMv3hQvnlzkLZ+6oM2eea+mExX8brfgDt9tlnw7caztX0Xlbm64HaERLwI488AtUqFKQg\n",
       "xv+G255++mm89P2/9elZ3bFjx3CHDv04bzasrCxzLBnwuplkcpG13NxUSMCUVENrraUNUgQcg9fi\n",
       "Yyif8K9KB/PD4GYQH4erK+0L7ufq1YK83Z6QgKFDRRBZZpwomJmTtp2qDertjQ+IdcxhYrybq3YI\n",
       "uMXYgZ95PuD+2thho2gIRKsqRSNq49zOPIcNiXWGuG7Ey7zgXAi5p2Ga/wVRQvS247HCZ+160D2g\n",
       "ivZdGxEQNuz7rtsqP5/oGkZjbLD7kvFiH7CfWHzzR7Vtw2jQpcLDovpGpnYWCJhI4+q7xm0vPyT2\n",
       "AjUvm8GGP3fLr/8uNAURDoXUm55tle0LZWXBArii3U8fHxG85o2zfCjHJ3tfRzBggvyf//xHLrzw\n",
       "Qtg3d4Sd//mCCy4Qkr92JUSzNT6hQf76RHWbsQNDDV3qN29CkT4vjvgUOTlZsmhRMLbcqqc6CnG4\n",
       "18l5yNPzC/7cvCE//Cjgy3IY6EJQ6C6HVFBQ8j0L75lRozAEGn1nHnhAZPx4pHRPQ1bZoz3bvf/b\n",
       "dj1IJ6hycka+d1PwS9qBFy8xdmCjbQj+yOj1pAd0u3bRGy9hR4Je0cS8UtLFTW96lLj/PVdSHuGz\n",
       "5K/xa4zP3HUgMugmIE+zX3tD+HFl9eju3RTR0kJqW+uE48T94COScudtEY1V9eBJ2ETnqvpVd1XY\n",
       "ko1flOY/BlEj4MT2ISaFP2A0Fo2Z8xzCir4oloFXZ0ib/fHHG0bDa1yeeUbk++9FLroIeoKDwxik\n",
       "Dhzicso1sujC/5BTjN7Qm2ksSPDmqQtcrmqLVjrKNm0aQwIO77spFRIuY4NfQHTwLvwTQ7dg2RNE\n",
       "tXPozJeCIJnvscfCZQtCrW+j0EEmjMqSiOn23YP1334Xe0kfeLkuxo9VlXZW/7PMDjznz+o7xnBv\n",
       "XS/C4CnIcRcQPh+0FkSp9UGRPfG2zVsvdl4efgdqJ2HHQaBrQVtMJ3vDBrHffV+sC84zv6P1H/NE\n",
       "y8o8sb+fEq0hS8eh1BgsVzkGffkHEPkHeOnJo7iYirH4EdFLNi0skS/PzzfOooe+kBU280VGYfMx\n",
       "zkm+9JIyX+IQqDmCARch+vqGG24w2a/SobNsCvEpC6rb3r17y/N0kUvE5pWAS+dev4UlRVs9ZQkj\n",
       "uRwm41i1qhGGgKovjNYT8Yo9QO+gbrDH2xlSi9wECv1RoImbaucR+MA/ie9UP42RZFRBvfACyjjw\n",
       "nVXajPPVaNrH+HJ63bs56KWxA8+YGXT/qHdk8pA6F4IEscZ49ZLpPgbqDXoFNB7UGQStPNIRWSMP\n",
       "RF7v78zvwP8xxG0UiJLwVrGffhbmiKOiripmkhTXdVeL++HHKvhkBJ5XMHuWoRM/HAYE0xl9qIbf\n",
       "E1QTJkEOF9Vu74u75GiZ8/xO+f66fOl1dj3Zb0Km1GsY+vuALhHIqSRM3f/vf3vWE6mSbFRhDXKw\n",
       "0FEOcuBQul0Gl7g///zTZL5iLWDaglch6efEiRPlySeflCeeeCKU4ZzR12sDLp2NKUvYCmUJIwxF\n",
       "IkPbsKGFlJSEJjX6gnI6VNFTkCd6hVH/0eYb+mMAcx0qWHni9hhSUF1jhBEc3eWpp0QmTYIVkBqO\n",
       "6X+YF7Wn5NnPOJxSVPCN9YHtmbODPyDKPetWEQYY8kxSibOwXATCW1ZwM42DEaWnis06aJTYQeWG\n",
       "PgUHDoPT1jix5/1qqhpVHCk6v6xePcXafz+xn4JONCqNX5KU4ENpUBHJu6EcUAt982TLki3y1YX7\n",
       "ymaYtWjrbT8iLeTz8l2AV7XQs3n4cM/febduIQ9TJw8I/c0bA5i+hMvsU3g7s/wgVdFkVsz/PASB\n",
       "YUxP+f7778fgrDEeslI+aJ4tGikpmRWmefPdsnZtuXo7tCtZJw3kVpRqOAYBEqExPe95du+G7HyD\n",
       "SIcOHqcr7/bqljSF/xcmv4cfRsnyB6eLNXyYeBI2ZOEwSsIhSsF4qcpfi4WOO7XdqC4Vxqoi6UNi\n",
       "t0JMH9eCTzFPkYxpWE4BfQ4is4DtwGRQ+w+WuIHIqOaRWCn5Bm5Wd7x9kWnBXkhmXVM7XeyPtojr\n",
       "rt1iZYTuXFjT6N79VG3bP/8idsRmC9qvvwUFq372zoDSsg2a4d0Q1yWzWc393wyZdNVF0nVshgz9\n",
       "d2ZYSYJ+xrczfT/WrRNoKz2mqJhFfcUVsdicPDU2w4Y2KlXNLMZwyin8Iq7YWCmpRdQ9GCueIxa/\n",
       "mMHH7VMRieeIXkpKT1nCYHNXlF/fSqz+EzQWbiFHoUzDFQg++BiKwDHlXWpYYwabCRPg5AotONXP\n",
       "oTQ6obN6yTUjGkv6vceXuYHhzxbDnAs6FdQiqCGNHbhrF0Tz/4k0OnsFdUy0OtmIdbVGHBh2nGq0\n",
       "5uF/HL7g54EKQLARVFmS6VKVzGU9ED+AMkvJu+5dcjvvS+j4mtSUX30tVleqXgM396TJYk/uIK7T\n",
       "B6HTP0Bk9g1A0W0WTFquyy9BbPD94nr2KQlU2rDms05FF6h0DNXcu2KP4/CTHzb9K26u5V/bVpTA\n",
       "w3m7pGVvl9ETWyOFZHrIMyDD5cc0Qw+vvz4xKxGFfNExOMARDPi2225D0oZT4bDzgHRGfdGGSPm0\n",
       "Fd498+bNk90Qtz799NMYXHqMh/QjAWejLOGOVfwKjqyxLOGqVXyBhtLo7ERb7/kg2t4E/tBXoMDg\n",
       "Ncj0vL+sey9Ttq1wS7MeKdJkzxRp0B4l3lIs08/3v7vvNsKN3HijicLx3RXUeucdM+XOfT6Qm16/\n",
       "TW4C/2QKOs8L93As3wBdyg1BNa8d2KptBvzZF+K6iR8yTmyXY1InglqBckBkomSo9UHZpUv+JlW9\n",
       "v9gYlUYG7L7sSrEvHhcwEYZdXCz2kxPFdQPe4NIH5AZ5mTDnGt1mDT0ADttIU/nq62KdeXqYg1P9\n",
       "HKr06z3VSKy8AFoJaguq3WYjIHfhW0Uy73+7pM/5s6TzkcswgWYhTcKbQpJpJMeO9XyMpzqCi4R0\n",
       "GY7p7AjoBqCQ4x9//CE/Q5/BpBwMF6LUexH814cNg6oyEXUa/rJhIRZ4/aziiG9+Tk591AXeHcI4\n",
       "UJfK7aArQEPKjmsrHeRAZL954aEp0nPeSGl3YJqs+W03/kCLJH+NWxp1cEnjLinSGAy5SReXvPhJ\n",
       "CuzPFkLGTK6EsnFCWWGC/R6nDZA7uqPUA5j4rbcijX0/jkDp4DzQKaDgXgomHvi5F9G/9ppJk4i4\n",
       "KqNmrb3TBnmmXehH7M4HZQR5TGy6WSzR2LKlsfUH0lDYb70jwjKCSGHpaZS2yYT/CboLFH0m7Lri\n",
       "MnGfd6HYI4aLFXIY2XbM6Q/QVaBwWhoOOgL0Pij4D81wzlT5mIL1bvn5tkJ8VOPz4alsyWr9Arpc\n",
       "W7lbtb9X4rvhdrxG+GqjP0fr1tV2151BIOAIBsx5MvxoBN1pk6R5E9LbhYWltk68TowEzBdMZK1N\n",
       "mwby7bdWkINMRb//gmC0rVKxBRLo56fIa9MmS8snF0n3zHKvzpIiW7b8VSKb/3Kb5acPFEnBUreM\n",
       "3N+SaXeDKZMxgylTWg62wISN4EDa4VzjL5VeeLdOmOAprE2PyZ49odNGqhD4UILGgYJoPnZgqx7V\n",
       "qbFvNqRf6zDO04mNH1pU+caX+XqRMakp4YzlT0NBRzz7jbfE9cQj3u6lS348TASRCd8NoqQevcZC\n",
       "KdbZZ5qKSSkP3R/iwN+h/yAQtQrhtjE4kB+aZ4PwRxDjtn1liSz5uBhxvUXS4/R60vV4/p38BuK5\n",
       "ewR9dhSqk2efxcwx9aOOCvow7VgDAq4a9sd99wKkUqF0nJDNqKE3lE09KwoFGThYTg7LElKlWBMz\n",
       "/x597gXdBjJiJpblbeP8Evnzyd1yyJ2t5KTMA2QOvu6LS2MVmWS9Wc9U6XJUuixoVV9mdMqW8bMb\n",
       "yPC7MyV3v1Qp2mbLgjeK5POzd8gHx2+X76/Pl1nP7JS/JxXL1qUwFPtp9lffmHJ1VmlsAut83nyz\n",
       "x6GLGXOQMwv0FWgLf9TYjB14zy4eO3CNvSPvYO/cKfaUH0zpvchHi8UI/Dsp/4iKxRlCGdMaNcLg\n",
       "ZbPIa6VmP/uC+ZDxX4Tj/9C7FwgqEmPHrnRwhD8Z7iTFu00e8tCG4rN5cGiHVOndGFv2A8XOrMZk\n",
       "Gsu/LpLvrsiXby8vQGgYjE6PZ5cyX07oA9DRXKmxbcGfIrIEmzh+JilU5lsjZCF1cIwEHGjWbyGo\n",
       "bDks/QxJSrjmjQX2UXVltnLJ0s+LpOOhoTs+eK/fk46SNr71IC79tc+w8RUQ9MWyR5UOhZvc8uPN\n",
       "BbLv9fUlt91eYNMvmLrBK2W5sI5wbzje9MbLfPp7XWCDt0wauYaNIHU3SpGGe6TIHgeVD0n1lpGW\n",
       "F5XIim/BgJeUCD82+o3LkMadUso62h9/Ki5UqvFttAGzcAPp3nubwAeALzhKwXwJ19ys/ghHQjyw\n",
       "Pymr5qND62HDYUgQ/sRk/85s0zGtyxwzNYMTs1pB6yHwevc2GwVg7Z9+FtfLcJsN2MZhzxMgMmGo\n",
       "SCKSOnG4T6NJy3XtleK+4hqx9xsc5P1cjhE2g/DVGHE7FiPcAjoeVP73EemwW5dR2i2SZV8WS9Pu\n",
       "KbLncemSu39qJV+Ov3GaJaBbazwdPZwZuXDEEZDXzw7f7FTjiepwB8cxYDpdbd++HTUiPS+5m266\n",
       "KWFvjzcbFtiWaawiMuKBTPnm0nzZjfJeex4bntqUAmRKShoc1dbCG9kfAyYD+wR0H6iqocZdYstP\n",
       "txQY6TZ3SJqZ2xh4RpMK4TU7V2ZCGp4uN+bdLfPbbZHjn+4vf2QNgEwyAKO1Mf19/2MhbpJ3LO5b\n",
       "9H6RTL6mQFrvkyJ9zsuQ+psWoSDyTpNq0PdYrg8eDKsazGrXwiT1wAMnyR57kPnSkagRd1fbjB34\n",
       "+Zeq7ROtnVQ/u8IskRetOQQeZyt2rQV1C9wlDnuohnZD85Hiw4BNtSOogemZXH27CLshdhnnwTux\n",
       "pNYnOs2CS7511BixkaDD+lcw75ivcGJ+dXr/miOZRyccTCesKaADQeE3Fkz4+7tiw3jz19rS6fA0\n",
       "OeSZbMlsCbHXb4Mu2dihA7/6GdlHafc3aKrhH4uESH4H0o1RQCDQXYrC0MEPkZSZsHj5XgnYBwra\n",
       "S0c8kCXzXy+SpbDLhNtyckrgiMWXbuVGqYIvC9q3qjJf9p7+0E6ph3n0PKPqB0B9SBp7w1Gr4/eX\n",
       "yM7Ln5WXcybKsKwhSL8w13hMj0fe6Ilg7D8jq8+2alTFex6TLof/D84esHt/cf4OmXHjYikeNYan\n",
       "99tYwIGB/Fdd1URWrsQnd7BJC3r3qpV4YBuJYWQFpIfBg/zOP/4bqX7uC3LEn3QZHNYw3FhoKGj/\n",
       "Z6PkK5u3hFCC8hIc1RFEJlkIil6zzjjNxCrbv9ImWl2jqecb0OjqOoW4j1LweyEeU959M/wzpj1Y\n",
       "KB+N3S55U3bDsbGeHPlGtvQ+J6Ma5puPAWjHPrx8oEprNAXRzkurAeN6lflWAijKPwN/BkX5RNUN\n",
       "x0xY9Hz+BAmDO3XqZNJQMiPW3LlzkdrsCghOO41HdHVjOHJfpWxY3jny6/TA+zLl2/EFkpZpSduh\n",
       "HinUuz+YJWOAV63aISiVXNpsLB8FQdI0km+D0u0VF4uholo/q0QOeiKw9MEvX+ZwZvaqTm2aYoCD\n",
       "hDWF2VYhaQOl459lMtIyPIz6KS2NZEyVdQ8wgHo+DkCU+HufnSGdD0GC91FL5bOCk6VH1i5I/v4L\n",
       "edMHD5EpyC19CmIML4OteyzOCHG/mlbBDhzDcCTjfDX6IGFqQ2e2GZjWAMdNjc6I1r77iD3pe5Sb\n",
       "PUTcjz8l9ERmysrgG77M8Kx5KnbdgWVG8IdW05PPjuviC8X99ruSUm1SlakYJQeEPzqfVrDOLduW\n",
       "k0pMCB/XSyCRMt6fud+9S5pjMptXvl5+yD0Fmgvq6TNq4NViaM1WfO2RdndusaXzmHQ55DlIu1XG\n",
       "DjTGl9ixL4h/0xUbkg8iF7/IO+94crszo5W22CPgCAbMTFgMQWrt49fumwnrX//6V4IyYDzoi/7y\n",
       "excbtE2R4fdkyqSr8w0TbrV3aLciNzcdDBjcyrQS/H8vaCOINl//qrqNc3fL7Gd2yqjHsgLW9Zw9\n",
       "G1WBoe1jvC++haq0XGREIo1GJi0UkIQ1aYH8iew+n8Bu+zBCnTrAC3cAPEVdsG2VyG64dBVJ8YYZ\n",
       "Unz3Iineq758/XRH+eJdZDs7d764Ry+TEotuX8WmL3sXjy6Wet13yzGLNsteTcZIWkauGSsdrJ3M\n",
       "nUsotM2SW/g7/aRNkl7wBLaPwm9PD9/+nuM8e1pi9mn4F0pj/KT9+Zfi+u9doRxWy30pAdOm6Lxm\n",
       "1NBvvm1MENK2jVgDYfgPuV2OIx4C0XZ6Gyg6TFj2GQgT83/EhtnLatAA41ZsNNfsyPsZDPZYMNpd\n",
       "htluJ9NFzHwaSvQ1RLx8wz0Qrtc5RdqPTBNXPaSbzStBvL9b1s2ATfaTYrNevMM22iDDmFHT28Oc\n",
       "T4evxJeIjughrlSr4ol9ftFZcslHRfL35GLhe6LP+Rkw7YT2vvBk4foIo17nM7JnlUXi7sB3DQMJ\n",
       "6OlMuUFb7SAQ6l2MyaySMRMWgWLIg5tpCwM0/tEyBdyUfxbIAVg27xX87cjNzYKGgKox6IqgHPao\n",
       "HsE5AzCXwo1wurqlUAbdUF8atPEvxVH9dAvebxMmIEChB4aqoSFVh3SB3Es6GvG7Rfi3QGbj3zQk\n",
       "3bPBglMNs6s3bZ5k7zdU0to2kdTb8qV4rks2PLGPyJtDpM2F26XpvrtNT1ZrInNMaZ8q38wtlM+u\n",
       "/kvuvm1vadAsFXWbdmJ01nDiP+966TIHW36cJAVD86EU31S6Px/LTThmSyltB3vPh5W0MRTz7fCh\n",
       "0AWuaZ1BnmVWdZL21GnM/ylWhw41IBKv3VCPmxJ/7eI1gerPS+mSTG7BInE9RS1NuG08DoRqxlRe\n",
       "IhOuakIJdWSjQQETLv72Z9nRY5SHwYK5eiRbN3K3F0lmqy5gtH3AaG1ptVcqNDhkuinmw9l7Pijp\n",
       "TGzsIiigBg5MMQlmBp5W7rhEW20+mDIZM4kMfNXPA7FtlxSs2yAZTTOM46KHQXuk5+J8Wxa9UyS7\n",
       "d8K2C2n38FeyJaNxZUnaO4OallSzNwR1r9Dx88/h6vaEyBlnBKrbXaG7/ogyAsG/8aN8Yt/hkjIT\n",
       "Fi+waRORTZt9L7XKOkN9htySKT/cWAC1dJb5kq7Syc+GnJzG8vXXZKS0jTUHXQ3yz1jdu23j8Uyv\n",
       "yJx9/Ut/cDQ3nsgssIC8KGE1yph9YEEmeZu9dKkJ93Cd+Q+4r5S+PKhxewRV634sllmPgU2+bhmP\n",
       "6aZdy+d/7qF4XexYIj1y2iDm2SX74h0OjaFPI67rDNnt9oCNcbVYJcuhIqYWYD1oF6gViGpDXlAL\n",
       "UAFk8g3IQ3ScLJO/4O+9GBGRU7BcguSHDQ0zJmP2MudmpWkxnR37i8syySHCvGk8PIataDuchCbD\n",
       "O37T5VKSUl+afdhCmvagl64r4Idg9dO5ErsfAr0OOh1U/szgR1Bt11a3bIJUuWkBaL5btv5yiux8\n",
       "aas0GFlopFlKtO1HpRnptkG7SZBO52DcIwKOTa3RXVCOMKEMSppDmwdjEL4z8vI8xUoGDhTZZx9L\n",
       "2nRMkUag8kZN1Sqx3e+DCZ8HSbucQTOagOFDAy7LkJb9o/Ga/gDnOqrs1BD4EXUg8vffKCL5IKzs\n",
       "Hct26UotIhCNOxvxdJMyExZRCWADrgwY1UoDr6kvk68tkJEPZwrV0zW1nJwsyVvgguqsCVRnVdVK\n",
       "PB45QOApLTL1vzuloMglxU3qyYzXEGWL2D4SixJxybyuq1d7XiKofxHVxsxXTFzhz+bHYt+5Q1Jl\n",
       "6WfF8sMNBdKiLzym/y/DJCzhJE44YSBKU14rb799Pl5wGbLXXktl//1noUjHLyYXNVItoVdLsdJa\n",
       "ijttD7H+6gwn4DOxjcy2Eahyy4eMfTYY7LmgwyrsXCN5hiGTMX8lH5p1qtDbF7WTPZp9Lx0O7gdX\n",
       "oOWwBLbDZ0S4UkiFU0bxxx8YK8o3LoLZ0VaZ90Ox/A0msn52CT76UqXbfUMlFf4OZHx5U4pl9sQS\n",
       "oYTXFKlPm3YDcYnQmfpNg8H2MsxuAghfcSa7GxYBWnGBXcpokVTGMNwSKYI6mOfieTseliaN/y9X\n",
       "Mi6+SlIeRorKzMxKI32F33ymqjY6Kj39tJgKX8yLTm9+tj59PEv+7U2D8mTqVI99le4DHmbsScHq\n",
       "CYdHCUbXxchMBXV06/pQMXuOje7/8zAc1FswEbFxTvxgGDXKE4ef6gguYKZW5/6zYN+i907StytR\n",
       "NZ6OXq+xOnwttpJDjxTX+2+h0ktGjWdd9mURbLS7ZNSjWdV4MnqG2f3JF9L7jF5yy6XbZHubnoaZ\n",
       "8g/ey1TJWBHuKB12FEnL9VAOH5klTVCTuHFjqUCM9kLqbWpYEdpU4xRD6sBcv+4TThbX04+LxTqK\n",
       "1TSq6JinduFbu6T9QWnS60xYeBvxZTwHNE127MiFZNFRfvyxJV5o2bBPu8CMxVDbtkhJ8ixcNhnf\n",
       "ee7Z1ZyFu54B0WZ+IX9U27Yi7nPJpOdkxeapsuLYXkLmvBl2dqbwpPq6n+wD2teozasdKKY7+edL\n",
       "Z7WJINzMODVmTlv9625Z8U2xrJm6W1r2SzVSJJO2pGbgQfTTdm6BJDqvVBLlEsw5BX0NcwSDNHnJ\n",
       "wSTpzFe1UcMBrmdKepxmdnMOmxGLbqTbUgm3cL1tsrVxzCZk9AEk75Ibb0GBjeHiOghcqaytwNoN\n",
       "oJdBFecA/1DjK9ET2pzx4+EqmF12UMAV1sslM/79d5GZMxGdv4eHIQ8c+Cy8jZvj7+/ogMeGt2M3\n",
       "DuP77l+g/8GzeYj5YJg82ZMGlolwtEF3ePXVctppp+EDf69ah0O/fWINuQlF2ijC3Lg1tA6j041U\n",
       "8N2V+YYJV5fi0UI29EfPPVEWLIBaDy8B/jGTuZKhslIRl9sW7ka8L5yu3syGVFnxBVLDVKKym1mj\n",
       "BNVwamK+PFlqPUt6IlVe5yPTZO7Lu+TTM3ZIt7H4fXRPFAfvbV5wBx+MPEQglkOcPl3kp588Hptw\n",
       "tJX92o6SwcvfkH7neD48Al/AsdhF5suXdvVvzUZgaH1fWyL9L7gWr1/PH+dOhMKsgMqa6usvkVHo\n",
       "SaT53AtMYLAcaBhyShgq0cBzDWbPInTC11McmC8dlNZOA9P9dresgjmhCUwIVN1Sm5MOB6WaGu2Z\n",
       "uUMqxo/TPuploLOf3WUSvDB5jS9TbtwZH2ZWOhK+3Ia+E0EzIeV2lh0r3dKwg6cvtUo9Tq1nVMqW\n",
       "q+a5WMOHoirTFDj8+zLgr3AJ/F1+PKXe554Tgd8oXtyeD8CartO7nyU5Sccd5yloMgfflmTITz55\n",
       "HJIN/Q0Vtg0J2YK62tPPe1x4y/k47H4Qvk5lKkL7mpqscx07esKLgvlgCO+8elQoCCgDDgWtcPo2\n",
       "b4aSq8ExYA7P5BzFO8QksRjxUJbfF5n9IzgPkhiMOncPGfHQo5Jy8vAqM2N2qp8mFMrgmzLLVLpV\n",
       "OsV4g1E/HxnYdubv9JR6B1xaX7qeUE9mTdwpX5xXBBt5fWnRp/xRpcqMNmESotRk4UKRHyfnyCMv\n",
       "95MNR7tlv/090jFfZFVTRON+oPqTyEegU/xNoWwb7ddGR7/XgLJt9MDuisAr0sGwqTEW+heEZH2M\n",
       "PGJPwAN9H4xNZsykJbXDjKl+Lp9f2URjtEKFGcPYKOmuhFdug/b0/k2VfhfCQQix5ZE2rxNSK5gn\n",
       "CgqQiBLq4o0L3UJP4JXflsj2iUWyE4VCqFBq3S0NjPlM0HPS+agx8J/oU603cXVzs/YbIjb+lphu\n",
       "1KOtcqP7N6B7yg6bD57GvOVduoi88IJHc1S2M8QVaptoMyadd14TaHjuhmr4DDDk3oLkfyynbBwh\n",
       "GZbHECHqKSsTt7P57ne7qd1ZgG2wLdu3gnLMfmrEaJ/mB6w25yBQ/lZzzpySaiaVs2EFc3FMkEE7\n",
       "1ffX5cuB92dVUeG5X0cS+5Ohduy6p0kO4VvwgeNTFffjTQXS7cR0E7YQzDmj3cckrliyVKwDyOxC\n",
       "b1mtXTLk5kxjv2OeaXpvB3Ig69oVUHRNkzNnfSYbjsmVn7b1lvff97ws+YI74ABYSGEiRYnm0nYC\n",
       "lteCjgell26rurA//VysQ0dDs10uAVXu1RBe1aPhA06ievoXmSTvyEvI33QXlNNDDTPuCdnY8pGi\n",
       "Ko8R2e8ZOJxSfWwbHZbIdFcg61JGY8tIuqMnVpdxqeJ8aHeksxL9ErxEBkvib+/Su06HO5pj60P9\n",
       "XL9+CtZJ+I2Prsx0W6bio6twlyWH5WbLofsdL02b34wT3g3qVPHEQf4y+cl7QZXEpBwmaxdULMbH\n",
       "oK3RuJDhsioq1c2xiJHNzj4c474EusfMmA5cy5Z5zELekGku+ShWpvLtC7DvJVAncblOwjjZWHr6\n",
       "M8KqBiuQOa/+V7sIKAOONd5+smEFc8r+F2XI7/8tNN7RQ1EAISXNwwRsFqDftElk2FD8oWEbi9LP\n",
       "nVehKP3U+wqlQTuXdD+pXjCnikkfw7xGI3FFhB4edJQZehe9xAtlL7z82g1PCzhf5oVusWKaHHtO\n",
       "bzkWPIkv9V9/hXT8o4cZL14sMmsWXqst22GMHiCqGP1L6DZEEPvrb8X1+MMBz1d5RxOUAjwMTJ20\n",
       "ER7aTFbymjyN9fWIjB4GN6kRSBTZu/JhEfyGPlRw701sbATDBDh0O+JZl30OpkuPXEhsjHM98P5M\n",
       "adgOP4Js3vAcJneh9MWPIA9j9Sy96zQjeNe5rOabB2f2/C0wbI5M8ZxzukmvXvfL4Yc/D5+AcbCl\n",
       "tghydhW7WWC8VENz6Xk2DhaGFVHqZTp3ZoaieSc2bSiGfQaEhxT+BbRYBWG1Kp1Kfumx0GcL/khQ\n",
       "4VtbYiCgDDjW9ylIT2h/0xh4TYb8cnuh/Hxroex3a32TVN39+ptinTTWw3xxkNW7l5Ape4sRLHoX\n",
       "drPFbjno8Sx/Q9bKNhs6MTJg14P3RuV8zXqkmsxh9BKn52ynw/1LrSYv9EuvlJ2TL3Jm1yKxostn\n",
       "n8Ft5xq4K02kavpE9KO0cRjIj+qUBQT2aC9WTk7ZeKGsNIP05M2vvU5WgxlPkhfgtbtNtkIqHg5m\n",
       "fKCJnw5lzKp98TGGUQIlXqnaP/gteT8Vy9T7dkqH0Wl49jJRDzp4pus9C22c9LalVzAx5/2IZuvW\n",
       "DU7voEsugclmclt5771T5P7782T06AYoIJBh/CJCOZ91wH7ifuIpsYs2iTtlmrz88lXywQeo3Hup\n",
       "x2M4lLFC78tn8GjQeyA8pEE3fGEab/BBWD4NwpdMkrcCxPOvQTDhWoRwrTHkWR8r58D00z+hrj4g\n",
       "A34M2bgLIEKcccYZFTJUJdTVOWGylIAXLwlrJpRwB91Y30jBv/0HSTRO32CkXeuWG8vGs/r0Nqn0\n",
       "uGHdzN0y95Uiw3xZTjBujcwLn+8WPU6i1Bg/OfLhLJl0FRJ5QD3f7UQ/0j0+RmThX3iBFsFHpyKT\n",
       "ps1tzBj4VIMpPAyh9tpre2BmtAdPAVW1obupfj780KjMviWCl5iohLRK/jZq6qfgvMXEIrQX7ycj\n",
       "jVd16Cf7A4dE3/4754WdJjRs2H/CY7y0WzKj0ldfeT54oh3aVhkn3mpK1wcf3AXhdC9DKl4EB6nj\n",
       "oelwmUo+I0dSlV35qKq/LYq3MOssmfSu3PXmzTi+nrmOctNF1WOiu+UwDHcmCBouP+kiK55rK34+\n",
       "AYIuXq4H4SsnidoO2e7DZPOwnmcYLpkuM+flwrmsFf5vheIwPcF0R0KT1blSkpFEgCMgAx6K7PiP\n",
       "PPII3ON7w342BGqec/ACG4NkCBVfbIlwkfGcI23A7o0bw56CK8WS/W/LNDHC0y79U/Yae3RF5kKm\n",
       "c/u/JX/NbiMpD765PuIJ+TUdv2aY11FHRH0CdNAZiRCtyVcXGBt5n3MzKpzDosdV504elXz/fhX2\n",
       "eX/QaeuCCwTJPURGjhyLzZSYKzJgFouXWbODrJLjHTm4ZS7iiI+TMwz9LUuNZMwUnswcRmZM6bh9\n",
       "0HZMMuBxwZ04iF7ULvxyB5KVFIKZPZUVVtYlOsQxlSnTmFJlyxC32mw5OWfAqel2Offce1HN5zqj\n",
       "omamJ/oBsKyeN0bX35zo+PSK+xR5998Fcgl8DkaP9tcrltuyMPhI0Mfi/rQlou+mi+vmG/yccBK2\n",
       "PQU6CHQVKDHfycxaR1MNP0rJWNeCyXok2jzz98DKa63BZFuD2faFWp3Mlr/pd5EsLSAD7tu3r6nB\n",
       "Syb84YcfyosvviiXX345VHn/hMrnkmS5/thfR5g2YN+JUZo94Lqd8t1+hTJn9BhT88a7n84jJc1y\n",
       "5IfL1yHsopm0GhDwlnoPienSNjFCM8S68R8xOQ8TzzNZyffXUR0Nu/BlFUWbsvrAARgwvWeRWtyE\n",
       "kHTvPkhycyGqIZe1b51X+8uvjR3QMPSYXIVn0HbSEey4IwovngNWvFB+le9RRuNmxBWnw2Y83DBj\n",
       "7vfftmHzKlB3/7tD3MpasszGxsQo/eB/wA+/UBqZ10svCd4VgveER+0fyvHR7Yusa9b1MmjQc6Bz\n",
       "TTIahg3df78nhO0wCJqHHurrlOdxeKK6vFFGO3nm2kOl+ahfojuloEeD84JcKfZbGWIvXSXWDdfD\n",
       "/u5V/0MDZtTNa7G8FdQV5Ny2HeaW9WCp60AbwF7L19dgfS2U5ZlGim0Btkpmy5j60aUMl5np6kKr\n",
       "8W1dgr8slgvkMhUONSRtISAQgQ3Y9yypH78rwy4TmTQ1RdJf3yXdTy5XwU5bP1YaNVuN0J1c30Pi\n",
       "s/7nXJGOHfxkFIredBiqdCBKOk75R4H8+v/tnQecVNXZxp+7lN2ldwREKYJSXFgI0qRYQRHERgRU\n",
       "1BhbBDEmMZYgogk2rCBBP0M0AVSMIiJBDGKhidK7KIIKCCi9l73f+55hdmd3Z3Zndmbu3DvzHH6H\n",
       "ufWU/52d955z3vL4IZzzpwzxJuQTGGYd+N8Ti6yscWNg0CD5CZPfsJde6idKO2/J9XlrR2b9+k/3\n",
       "FllGrE82lB9TzdfiFhPgQk2bnpJg9OnyM+VfM9YgGHlJXxp02tH/45x3JtItdfK/6JlDyB6SidPF\n",
       "jjfSpNZaqqhUU3SfdOrZuSnbUC3VPqiAukdybVGc6oVrZLJDszrQUF2AG2SmVzXkL71Uo4rJyPff\n",
       "PjOdSy99HzmTpCOLhK9EcXI+1YW9vYbEAfxW4iW3MKEc0baNNGOGZJlSMOvEw+Qz+ucuhUSVDmC/\n",
       "CNKtRsCqQP35pLBVQasCV18kawr/GiJe9bOefH9by6ulbqvQDYycFlVDPHxzSGm6SOwGnpWYdBoi\n",
       "sHv37jJtd6t8WS+lAI7wYRvzhmPHYUuU65KOqGxZi1eb2oxXx6F7KQljeJe4VBS3fmf0KYt14jlq\n",
       "r3Uqzm/0jrSsbYSti/3l9uIlsNrkCbPY1+ArUcM4dnu6nPFxPffhQ8ZW2GiK65S8OP0Ptg4c2BbV\n",
       "klbTmJdfPl8ibf1TTn0ruTFs1SgXg0urRfPAyx3dbiS60poH4FZoHGYdGf9N1vnKobyZplYFrjox\n",
       "8P9s59jG85qaFqm5mwYHiSSp/ekbbwDiE0YY+kaVkdwf32srSvEyF26EsAg0+eHXpJ6rNKti1ezZ\n",
       "vraXEXn9f6KAXLOmdEhtfytd6dOGTogAlq/fe6WRdrV8zu0Ae+mHomApgCUAiU9p8HT5jH/SdVad\n",
       "Ht4ponSniFn9DNzfJoJXk0+Y1jGfuibbUn6D9JjqPajNPFPRBEIK4Dlz5hjXXM/IvE2tWrIewVRy\n",
       "AsYZh0wfhW9XkK8ue+o0WBII3pIhhn6l9cdy1uAD4sQdWDtJlK6erIS0R5bnuydRO/bipUi78XpH\n",
       "qjdT8xJFasFjh8xouPNj5cRtYUax68D+xv1ZZsl/85s0+Z7/RqYq35LD95uwg2r765bURFRMNF8n\n",
       "a71fizBWO+NHJfBGZSwXkXKHCOTNZvou0vYe2ZuD+SMOmdsufrkCylb0zSCEW86PP/pGvarc5BNe\n",
       "4d7p5HW1pTIdCavS4qOSz5TsS6ouoNPQmvPSYtmsCaudhNp8+Q7Y9w6VmZW0vNMObNniMcN+T4KK\n",
       "3Cga+JfIKPzbt6XWJyXr1HRkzyhUc1W4qlBV8zi/cA3c1+OHJHBJNRm7VhMe+qmBSeqJqqCuxdYw\n",
       "o9ra8jpYIVQVPB4mgZACeOPGjWK4LW8yFL5hoiziMp2T06hIJRDAuqZqS8DwwFi0qmR1vnjJmj30\n",
       "gHi6EqWrlhVxQk1/tm0Ly+1jES2N6pR6EcI3MpIUzWynkq5VqqcsNZn59A8H0PUJcVzS6mwZOSyD\n",
       "TkcXlWT53LjnGzasq+g7/AvVKv4Ae7ZEv3nt1aJuS9i5piKINd8gKlzrZKp6gZhPPSIjvKryE+lX\n",
       "4NKRR3Fp1zcnjKMWtes9+7fpuSZtxd3nP/+OTLa89hpE0UkmRC/3H3XrZxNp2B8kD5f8rORTJIdK\n",
       "orYt/s0s/c1T87Nl8lKbHf/ZnMDWGO9x3btJgJFfi3dRiSD1j2ykVc+G1TA84asmOrtktKpOYVSQ\n",
       "6qdvXxWetpmRrF6jNutqKucXrqocqFHMfPu1kkrRKZCv27ZDCuDTxbnwl19+adZ+S+UqAbit+d5o\n",
       "jyUjYFviAof3J5S/T/ZHMiXWuJH8ATbMd0I1gnu/pdNsJ5MIPXvFyoQKYNUcxllN82tp+9sXx081\n",
       "12on/oeX/f0wPh4iQnhANtKnTQirRlHyF6cdpSQg+R/w9G1Py9pbC1iJX8Qspu1LZCzXXfJdIox/\n",
       "h7USgVlHxg+LEwad/msp3qk1RrOOnAsqs2z86CiWjjmMX/0+E6d2lbnXCJIGbn/8cZ+bRNUsrusC\n",
       "lYPwmn+OXHaDZNUofk5yMAWfA3L8S8mDJctY86RvaMtBAaxuPu333kfa30ZICxTu27CavyRT0fOR\n",
       "0/A0E+taR6p5QjVPyO4W8arTxBrys5qI1qpm9FrDfPpGru3McR3Rqo9zJncQCCmAM2Vuadq0aWJG\n",
       "UEm8wNQXRRXf+lCPHj1Em/AZd7TeK62IQhPaFscbafcMKbanag+MFasKOJMv9raYXuBb/82OaZmR\n",
       "FNbq9gyUqXgEs/+vEbps34aKQeyBg5V33XUSUXdJI0yYkonre3UOdonLji2R9rQ3bVIXl81kYlDz\n",
       "IBHIa2Rqeg2WSaCIKcYdZiX5uVVhfMaJZuLVKxtHvqhqZk80oHwkSVRBjDON/v2Bfv1EQJXkbTKS\n",
       "CmN+7SVS4jbJD0t+QnJZyYHpU9n5lWSZFpGkAjjnrqHibNwnkM3BOP23z3gUF2G6YjZ2djuEPWd8\n",
       "IUL2AyNwf7l2LX75camMWV83glNHqD7h6hOyGplL93UWRIUr113j9JDiVGxIAdxTFkdaqZpggVRd\n",
       "tXqZIiNgpqB3RnaPXG3Pm288CBQ3laoFq0cstb9NZLKXLEPa4DsT2QQ0H5huAlh8cu9t6Dbra1S+\n",
       "RF5MikkqTB787R7cMvBitO65N5+ZVzG3Jui0rA2aiE75q9c4xeoJKNAb0BaJ3bRml6weP5yJ3RW+\n",
       "wsaXJ2JRufo+oayCWbKu74VKasL+pCxBqjP/558X52DO6ACFak6Ux2+U+1X46pqqrgsHvkXo9PMA\n",
       "yb5k6fBe/m7NrFIJl1SOiKMV/4jVN0L1Twf7poh9I9lfjDZwFRGfVXetQdWLWsrWUWOepmY5Vape\n",
       "iyp33YuqY/+NtKqylMWUVARCCmCdgtbMFAMCqoS1cVPEBeVMktFvfxluhJPOaAxxAwT7wAExXygf\n",
       "zh0xvcbetw8S80xcLJ8V03JLUtgZl5dFqU92YfZD1dDtjBMmHmxx5VT94kPc1ysHj/3tTAk3d1jC\n",
       "H2YUd0uCzq+XenUKMbwX4fTVdXHgYRn1XiYxlgdliC7tpWLm9LVENl6DuaLx+0+MFrGddnLK2ieQ\n",
       "VQO7rPxTLWEVuho+T8KlyixYgroc02p1PVinosdJvv1kyfK9NaPjtif3fR9W13Nhfya+oQMEsETW\n",
       "FuvWnWbMukfGqPsk66dGxdL40Wr7qtrCu+Sa46Ls5B+x6ghVR6q67qovPXrcCF35VNa2/O3mPHMX\n",
       "0t4eLa8FAUsDwjynhXgRmfeFeBK5JF/7uON9AiEFsPe75p4elMQblq32tCeDLoTTE2Osr8JP70uE\n",
       "+YQoPanyVZ7TgHBaHb9rGvSvg9JbZorDjvroJJ7EAsMZBqvVnjET7R8bjvM++kbWOTfKmnDiXySC\n",
       "tVMmy+VwdvBTBY5+O+0oVr56GO3uy0TdDr4fdZ2i1OhMmv1J7TZVIK+XPFH8CX9vf4fdq+tj/w8t\n",
       "cd3YumhSp6oofVWVldPKZhq0ovzv3aRvEToNfY/kd3BC7GoPSFzn3cJjrzhk8QtS9dm9p/cG7Jk9\n",
       "VYTqanNcz52Qf1WERUX5X9dS/UxUuDYQ0VrFrL9WM5+RaAnr2q+6PrXUJqpg6iyhEmfJ2xAFcEEy\n",
       "nt+nAHbiEZZgDThn0pv5gi6E00x9UzdTZgkQwGp+5KTCSrE8hEXdvY+i7CN3GFvhosIZ6tq1+ky0\n",
       "JNDrrQ1t3HnnD+LYv4lRziq2Hscv0Onny4us9cQxG4ufP4xfVp0wrjsr1it66KpOETRrtCadch42\n",
       "4hgqNFyPHnesw870zaKatDJ3lKdCSB0wqBBWQaRuATX7hJF+VjHCKe9cVTPCK7LBJTiprjtVm/eg\n",
       "tEVNZjTr/mHz/3751CMH5H/NvnO+6/QePbZb8lARp09Ke7dL7iBt/8UI1Eon+9WkaieUX7UUVbIv\n",
       "ReWGrUwf47HGqjbr9n8/RNq4MUFJWPL3bI96rljb9qA386CrCVAAO/F4IvSGZX//faGgC+E006wD\n",
       "/3tiOJfG/Bp7idj/xsn9ZEkaa6mBasMGqJX+Nbo83gJz7j+Ajg9bqNW68Fdef/ysS3qYakqVaoLh\n",
       "wyfj9tvPRlZWTajXLPekY9IUmeEQd5Whkj+OdDkJRHDh2MKxpEPdp8eXySTGCFHAvfLKMjLl3FyO\n",
       "aC6cdBSoU63qy1c/derVPx27Vfz6mtFjwDRtaZlSVYGsnpFy5J9tsv6v2/opoR9PHvUf853VPd81\n",
       "/n29TuvXpK4M9Z8Y4hknJfqZaf759jPkqNarn+rExH++nCha6b2ZInjLGl/KqicgnjiCpJy62ySq\n",
       "xGak3Rq/6V81fdOlG+uU4CZSxpnPWWcCXy0COnUM0koe8iqBwr9GXu2Ji9ttaTTsI/KWG6ZWrv2m\n",
       "mB9cUSDoQjj9U+9N6gVK3IY6ORVs61S5ZKvJGeG00rFr/H6hqw/KwrnisOOfzfdgwBeVUOecvGk+\n",
       "42VMojcFKo/VqdNDAq//WwTxPUbzN8M1y8Gi5S7eukKFnFPh+3rr3ThHppyzfhtZo9WbleaHHoI4\n",
       "Jin6EZUSN4i6fqk5nKQjThXUR2Rcqlrber8qQOnas+7rp/7TY3rOf0zP+Ld91+bt+8oIp/airqkq\n",
       "J9+SfFSyLTlQKUt29YhqQz/8qETwuMV3IA7/2+9NQ9r1eQpgwaqwOopXrHkLYFEAB8Pj2WP6rWdy\n",
       "goCZhpb5vWKSCjOj+CECONJkRn2n1pMIZaqo41wyU7gO2kuG2zPVHleHHJo0pvCgFZWxcKRMSv6k\n",
       "Lgd9yf74E7E+aQsrX9ietjj//PUyAv4Bzz3nv9INnzJVHmL9VyMZzb77AM6+JSMi4XvokC84xSeC\n",
       "YZzoJRUnfEtCQUef6qZQozxpcAndUscP6oBfj+v0tyonqTa2CnWdztYp7gryv66j6mhV/QarslIZ\n",
       "+Rcb4evviSosqiAuLHz1Cl2WUNek9rff6m7Mk61/q/oCK57uikqWrgPPE6sIpqQiQAHs1OOsUQP4\n",
       "OQwB/PY7sHqIN54KPnvESJvnXweO9L6orhfzI1et//o7I+vAWPs1bA1QK6lGy9JoJmZK80ccRM4J\n",
       "HfHIb6uYbqWJ8kvh1E+i+rxknPf/73+FzybmiArg1oWqPnHUxmcSmKJ229Jo/+fMQudDHdi0yRea\n",
       "sUoVibHzovpCDnVlah/3O+WIBwWjfNXnsmK9kVnqmUviFdtr1sajGSwzQQQogJ0CX03esvVNt4jk\n",
       "D7pg9bu6iKuKOdWyOeyVOlXpXLIlbqkTARgi7ZF/HRgBP1pNr5axVNU0LH/5CMxa+/btZgRcuOyu\n",
       "SE/fIhGTNmD0aGDz5sJXOHtkv1T3o+Rm+arVgArzHj6ICnUttL4z/GlnNTG6+25fVKB77oEEWclX\n",
       "LHcCCFhdu8is1JyAI7HZtPfvl6APn8EKU7vZ6qTT0BwFx4a+O0qhAHboOagpkv1LMQL4/Q+gGo/G\n",
       "F20J22VsFsUlpVNJ7Rch/qqt005zqsqI6vGvAwfedM79mfhRQvBtHvOlb7YhqMN9/dO4Cg0bTjA+\n",
       "jzV0oYY6TlzS0a8qC+n6aV5a+ORhs9PuT+GNfEU9AGNE2VYDKIwaJZ6PL8ori1vBCViiIAWNSKbK\n",
       "kTFMavqma7uWjGzDSVbnTmYdOJxreY03CFAAO/Wc1BmH+IMOlUzQhcn/gTXg16EuCeu4RkySoRts\n",
       "h4ZsrjM/KkApcB3Yf6psBQsdHkzHV/+qgkPtg00/+6/UcyvRp89m45v/73/3H0/Epwrg7HwVLxt3\n",
       "GPt/PIGOw8tBg1IUl3QCZuhQn78UXe91l4Z3ca1P7HnjlOPTz2PaCDP93LdP+GXqi4A8RA26wpQc\n",
       "BCiAnXqOZgp6V8jaQgVdCHlDESccXQdWG9q2+QVDEU1z/pRZB16Xuw7sb0D1/YvRNGsDFrxcOXc9\n",
       "2H8u71P9BesP5Nv44x8BidCJ+QmbAVwq7cjjvO6tI9gy/7iYWImpUXrxwnf5ct96b3vR9Rk5Ujwe\n",
       "l0zFIA9Nim1Z3bqaGMGx6rYu2+iLciRxpzXoiF8bOlbtYDmJJUAB7BB/S5SwNCJSqGSCLvSPbvSb\n",
       "W7YGpdfADA6kRAdgKK6LZh24QQMErgPrPTli+3vWkPomDu7KV48UUYwK4M9EYO3EsGHAU08VOZFR\n",
       "RDnRnNIRzyHJDUwh3314FOvfOYpuT5czfq/NwSL+mzxZgvENl2jH9wMaeIKpBAT0b0pHn7rkEoOU\n",
       "o56vLu8dcUlmHXjuvIjv4w3uJEAB7NRzKcIbViRBF8JprnV2C+MRK5xro7nG3rgRKFcuqjXraOoP\n",
       "915L4wNrbNeTyd6zB5CRu3VeN+h68Kb/HcPWhT5Naf81eZ8VZfNCyVPQXMysrxb9uMceEwGeZ8mU\n",
       "d2nctvKmn7fMP4bl444Y4VuuRtF/vn4TI9Xi1inntvldHcettclYsBl9dhHf0DGYhrZ37AA0XvVF\n",
       "F0SOqt2vjJMeVdhk8j6Bov+Cvd8/9/SgCG9YEQVdCKdHDRv63tZV0MQxmfXfNnnTonGsKqqiC64D\n",
       "63S/dW5n6Og4vVKaeMjKNPbBB38OJVWvlPpnSD6IAeIvQYMSvP56VE2K8GafAP555XEsfOIQuows\n",
       "h4qn5lfGKlig6gvddpuxXDFKVzQxKkgo8v1YmSPZ06bDuvACWCXw8GLJtDVaZcFe+GXkHeAdriNA\n",
       "AezQIzGOHg4dLrQWaa9eA+OAV0wdYpX0bR3qFSvO5kg+BxytYtXs+JWTdbaMGtZCFd00Bbqe1P0a\n",
       "LUqj6TViH/zIIahZT+FUWw7JyENitGpSb1ESKtu4bjQH4v7fUuz5rrXxad3xL+VQ7cyihe+nn0pY\n",
       "+cG+CEa//z1NjGL2eMSxC7ZsgRnBlrBQ9VJnq7VD38inn/1VGm9Yc+f7d/npYQIUwE4+vCDesHIm\n",
       "vgHr2n7FGuJH2kz1Cx1Pe2BbvAOZaTQvjIDVL3SD0806sL3ua+CwuESUUURgajYgHaXlspXjQ60H\n",
       "XyOXT5F8HFWr+oSwmiapGXF807fiuasOPv1TBtrcnWmcbRRVn7qTVO9dzzwD9OhR1JU8FykBS8zV\n",
       "dOYkqmnoOXOB0+pHZbZn1oG/WCgvi6FmbCLtGa9PFAEKYCfJm2nonbk12j/8YMIHWj0vzj0Wqw2f\n",
       "JnQcFbHUhV6tWrDUjZIHkt8e2NhehuDd4cFMfDfjGH76yjdSzt8tmdYXN4qQGLqaWreW8O0yHa2j\n",
       "YXHxHbd0ZM9yfPqH69H8unTU757nwzpYhR9+CAwaBIwfTxOjYHxiccwXI1jU4UuYcqZMldGvKvaV\n",
       "PKlPAWMX56C9f8lbyzuLIkABXBSdWJ8rMAK235gM68q+sMqquUuMU/NmwLcbTACIGJdsivNpP4sU\n",
       "8kjSEa9GbLI/no1QLzzplWU9+C+Z+OJvh3BoZ7DRRT/pragUn0yqkHW6DKzVoUU80rFD4mLyT1Vw\n",
       "2oUZOOPyor8jK1cCY8cC6+W9yCPvRPFAFv8y27YBvvsOJgBJhLUZRx6bvoclylzRJvqGjpagO+6n\n",
       "AHbwOQR6w4om6EI4TTZCvWEDiY4kU65xSCrMXOn/OVRfZR3Ynv8F0LQJjLOSENfVzCqNJleUxYIR\n",
       "wdaDddq6nOS89Te1D96wAfjPf0IUWMLDOcdtzHlgP6o1X4WWN+rIO3T66SdfQAUdjdevH/o6nome\n",
       "gCU+O40t7ucylRxhsqeI6VHvXjGJVOYzR8r7HkbYFF7uEgIUwE4+iIARsP12dEEXwmm2pX6h4zBN\n",
       "pYokxs5YlVI8kiw1l5KwkOGYfjS7rqz8SMrqwOvB1oN1FPxWbq918kLNkiZMiJ1Slq6vz3/0kPis\n",
       "/hlthnwrdanQD57U1Mhv3/sr1RNjijsB3zT05xHVY4vegf3R/4wAjujGEBebKE2y9hFr95ghquPh\n",
       "OBGgAI4T2KDFGneUvyAmQReCVpD/YNw8Yq2SoPCi1GSVL5+/QpfvlZr5AdIuvqjYVqoWeQeZit4w\n",
       "7Ri2LS64HtxZ7t8rWeZ8T6baoiT9l79AAjcAauIZbVr07GFoeMH2D3wuynmhzbxUD27ECEjYROCK\n",
       "K6KtlfeHTUD8tevMkrEnD/Mm4+kuuzXUIU+sEn1Dx4pk4sqhAHaQvVWtmlk7MmYIUQZdCKvZ6oYx\n",
       "DqZIZv032zuj37BYFbgoo0oaOjwUbD3Ykiuvlpw3CtZbs0VOXntt9EpZK8cfxq51J9D5UfHvXHqx\n",
       "lqzFB03qXOOIDNKHDAl6mgfjRECXdzRoij1nXtg12KJ8lRal8lXByjgNXZCI9/YpgJ18ZjoC3vEz\n",
       "zPRzf53KjG8yGsoaQ3TjxphWZNZ/PWB+FG2na7UujUaXlcEXf5X1YB1u5qbusvWNZNFiD0j95JHW\n",
       "qwc8+2zAwQg21797BN9/fAxdnyyHMpkH5M7vJYsyXZA0Q/yCfC6zoDoCVscgTA4T6CpesT4Lbxra\n",
       "mAPKdLEV678ZGVEbhbA4O9xxmGxKVUcB7OTj1pCE38iaXsMGsBo1cqRmnz2wTBnHKNk65PpahI86\n",
       "t0iB1GKQRJYShejV/wpcD86Unt8h+X7JogEVkO67z6eJ/O67AQfD2FTBu2biUXQfVR6qjQ0sl9xc\n",
       "culCd6vGs0ZmevxxBlUoBMehA1aH9qIHsRL2AX1RKjqZqEcl8PtcdKmAKoRBtLLtBaJcyORJAhTA\n",
       "Dj42E/dTpq3SBl3vXK06DR1LRazlK4AzRZM4HqZTzlEJuyb/evA37x3D9qWB68FdpIyBklUI78ot\n",
       "Tz0FqlLWv/4l2AVVcen4YRs/SGziJaMPo9tT5VCulv9PUqefxeSlQFKNZw0KoWvO1HguAMfBXeNG\n",
       "Uka0xo97EfXqOrE9f0FI07cibg3rlM8caUFY1/Ii9xHw/7W7r2VJ2pn84MMAACWISURBVKLStnhh\n",
       "UjeRDiUTmCGG68CeMz+KAefMarIe/EAmFshU9OHdgfbBl0jpF0t+UHLeSOiUU+SIHBo+vHDkJDUv\n",
       "2rH8OFb+8zBmDT6AiR324IP++3D+i+VQuUHgXPJSKTP/+q9f4/l6eX9jYAXBk+AUjm9o+4P/QkMZ\n",
       "WnGK/2hG4hLa0D52LME0WH1JCFAAl4Sah+6xTjsN2L+/RI4DgnXTXiRRhGK9lhWsIpcdq922NBr2\n",
       "9K0H529af9nV6XhRgUaeSywVkNdcIyPVh2xsX3kCa984Iu4kD+DdPvuwdOxh5MjvZcsb0zFwYWXc\n",
       "vqUaKtYLFL7bpSwV6A0l+5Jf47mV6L5dQY1nP5aEfhqfzOrcRd+MgiTVG7CnTova81WQonMPGR/z\n",
       "upwl7WDyHgEKYO89s8hbrLFMYzANbYsgh7rPVC9bKZha3pSOEyJjV08IXA9WELoeLAp2GCk5B3u/\n",
       "PwFVqKq/+iAafLwPr994CAd35BhvVn0mV8RFYysg67cZxq9zqbKqVV0w6Y+pKNgEJL/GswZZYHIH\n",
       "AWOGJ0s8IddgdW1WLB+sJmfEtcGcho4r3rgWTgEcV7zuKDxm9sASwxQizK0UVbu10ix0HJaJ9f85\n",
       "ih0r8taDVbh+N+NumaJujalXLxX3kQex+5scnNqtDG77tAJWZ1XAj6dnol7nMihTPpjALfg9WSIH\n",
       "8qafqfFckI979i2NYvbZnKANynlPPF9dflnQc7E86DNHCt8kKpZ1s6zoCJSO7nbe7QUCqgmdM3ps\n",
       "1E018X/VF24Kp8zqaWh/f6YRsvXPK4Mdy44bpxk6RV27zYVoefPjqFCngRD6TS4lVcr63e98ARJa\n",
       "yGRE8UlHwDeZy1SRSzWeR4+mxnPx3Jy/wjq3E3Je+rvxuR6omGhv3Wqib1mPDo97oyzVxpPYwvY3\n",
       "38B4yIp7jawgVgQ4Ao4VSTeXc2ZTQJzAGxOiKNqZigpYwXCd0q40LhhdXpSm0nDuY+XQd0olCeJQ\n",
       "Do16lRfhK3ZIWCj57dxb69YFHnjAp728c2fu4RAb38nx8pJrwe/jWTWeTz01xOU8nFACZg1W/74W\n",
       "fpmvHWbt95IesMoUHcEq301R7NApRxTwEngrBXAC4TtVtfkROKOxLF6uKXGV9i4xtfn5ZyDO61kl\n",
       "bqDDN1ZpXApn9ktH5YaBylPaiAqS/yb5fckfSfaldu2Aq67yeco6njd77T8d8KnTz62hej3q4/mG\n",
       "G6jxHADHlZuq5RwYI1g1ku3pM2T6ubdj7aVbSsdQx7QiCuCY4nRvYcYcKQpFLHU/CfVlK36SmYoj\n",
       "4FfIGi8Xzs+9WOMHqyvgF17IPRRkQ0xK7DbGr7TGHO7bN8glPOQqAlaXzsbW1z75ZmV/8qnYyjeF\n",
       "VaeOc+1URUuZMrH1JZnJMwQogD3zqKJrqFHEisYeeLHHwg9GhysGd8u8M0ZIfk6yLOSeTDqq1XXd\n",
       "adP8RwI/dWi8WtZ820DNOu+6K/Act91KwKpaVRb4GwFfLTJN1LCDsfb7XFzfrbQ0WO3PEccgdMpR\n",
       "HCs3nacAdtPTiGdb9A1Zohjl92kcfoU+/88yJGOKgICanzwo+a+SvzX3ZWb6PGW9+qqI2kIeQtdg\n",
       "xoyLMXduhhkBp6iyueHktf9UG9oWbWhVhDJLNR07ON4FnzlS3oyL4w1ghREToACOGJk3b9BYuKhZ\n",
       "U+SATxBE0gt72zZA4plap58eyW281hDIkv81XJFoUkE0YyVpwIY//xl4+GEgUClrxYrvZPR7KX08\n",
       "G0re+s/ECJ47D/a7U2H1uSwxSzUaJlFcxWrsYSZvEKAA9sZzikkrffbAqyIuy3i/SnHzo4ih5buh\n",
       "k+yJNhVEFRo+Nej27YE+fXya0SdOmOU7EcgNxMfzEWo852PnjR1LX27FB2nOtOmwLrs0IY22dHpF\n",
       "3dyenApPSCNYaUQEKIAjwuXxi1vKH2dJ1oHVzZ2GPmOKgkBPuVezTkmLRzFJ6tO5ShXg+edV4/m4\n",
       "aDx/ID6eG5hz/M97BNQmWP1Dm6ArCWq+use053IaOkH4I66WAjhiZN69oaQesWxx9m61zfPM5F0C\n",
       "iW75r6UBylHmnk/6jdZp6P/9D+jWbaNoPKtgdsZuVCpiijGBtOsHotQIfbaJS2YdWKIvlVTXI3Et\n",
       "T82aKYBT6Llb6hFCTCXs7dvD7rW9aZPxsmPVrh32PbywKAK3ykk1TxH3WDgB9dMwfTpw440zZZ8v\n",
       "OQKBKQoCVq1aPlu3KGz+o6iet0ZIwHUC+LgIiF3q9IEpPgTUeXwE9sDG/SSnn2P8LO45Wd5zAeUu\n",
       "lm0K4AAg3CwhAfqGLiG4BNzmCgF89OhRcdX3gAQYr4+yEui9mkQQKV++PFq2bInx48cnAEvyVqnT\n",
       "0FhZyP4lZIfV/AhtuP4bElCJTqj3rIckb5H8iuQdkvdJFm9lTCQQJQF6xYoSoIO3u0IAD5YYa6tW\n",
       "rcIHH3yAvXv3IicnB1u2bMErr7wiZhl/x9ixYx1EktxVRbIObNaRRACnYvzf+H8LykoVj0hW5w3/\n",
       "kcyXHIHAFAMClvqm3rcPtvyGMrmbgCsE8MyZMzFOAp5mZWWhQoUKxoaucuXK6Nixo2iIPo8pU6a4\n",
       "m6KXWqc+oTdvgX3wYPGtXi9OBcR3ovH0U/zVvCJiAuo3epTkGZJPj/hu3kACoQgYbWh6xQqFxzXH\n",
       "XSGAdap59uzZQaFME599NdXGjikmBEws32ZnhmWOxOhHMUFeTCHl5by+YA4o5jqeJoHwCXAdOHxW\n",
       "ibzSFfGAR4wYgQHiqf7ZZ59F48aNUalSJezZswdr1qwRpd3joiUqaqJMMSOg8YFtsQe21HNOEUnN\n",
       "j9LEqw8TCZCAxwio45xH/wZ7/35YMqvI5E4CrhgBZ2dnY8mSJXjiiSfEHrKbUcK64IILJGrMC1i5\n",
       "ciVOpwvEmH57wlkHttU9kzrtaN0qpnWzMBIggfgTsESZFW2yYX+xMP6VsYYSE3DFCPiE/NgPGzYM\n",
       "EydOxObNm5Geno6MjAycdtpp+Otf/4revXuXuIO8MQgBdVe39muokDVT0kEuMbGDRSudb8/B4PAY\n",
       "CbifgK4DQ71iXXC++xuboi10xQj4fonRtmPHDnz00UcSCWYuunbtig8//BCvSsiYkSNHYvLkySn6\n",
       "eOLTbatcOYkIIE45VMkqRNL4v/R+FQIOD5OABwhYHdvD/vIr86LtgeamZBNdIYBV0eq5555Ds2bN\n",
       "0KlTJwwZMgRjxoxBu3btjBB+4403UvLhxLPTZhq6CL/QVMCKJ32WTQLxJ2CsF2QWC8uWx78y1lAi\n",
       "Aq4QwC1atMinBb1gwQLjlEN7tElcIapJElOMCZwtilghPGLZ4hgF69YDWWfHuFIWRwIk4CQBxgh2\n",
       "knbkdbliDXjo0KFmnVdtfo8cOYJvJKj14sWLjWOO22+/HW+//XbkPeMdRRIwmtCjQzg4UcHc5AxY\n",
       "shbPRAIk4F0Cao6U88Aw4K47vduJJG65KwRw586djeerqVOnopysT/bo0UOc1Jcx+euvv0amxrlk\n",
       "iikB47S9dGnjLccEaQgo3UQ/ovvJACLcJAFvErAaNjQNt7/7Dv5tb/YkOVvtCgGsaFXruV+/fvko\n",
       "12YEnnw8Yr3jN0cqJICXLEPaHbfGujqWRwIkkAACvmnoBRTACWBfXJWuWAMurpE8HycCGphhhdj6\n",
       "BiT7wAFgo4QgVFMlJhIgAc8TsLqcC3vOPM/3Ixk74IoR8KhRo3Ds2LGQfM866ywJVt435HmeKBkB\n",
       "q2Vz5EyZmv/mpcsAUdAKaR+c/2rukQAJuJ2Avmhv3WrigJulJ7e3N4Xa5woBvHHjRowePRqDBg0y\n",
       "YQgL8qcv6IJEYrQvbj/FABu2RE6xKlY0hdL8KEZsWQwJuISAlZYGE6Lw87mwrrrCJa1iM5SAKwTw\n",
       "iy++aEIQahhCtf8taXrnnXcwY4ZGlimc5s+fz6AOBbBYluWbalZ74I4dzFl78VKk3feHAldylwRI\n",
       "wMsErC6dkfPGWwAFsKseoysEsBJRP9C33XYb9ovzcA1JWJKkfqTPPju47aq6tNwnIz2m/ARyFbFE\n",
       "ANu7dwPbtwNNm+S/iHskQALeJqDBGR4bCVuC3Fj0q+CaZ+kaAaxCd8KECVGBqV69OjQHS1WrVjU2\n",
       "xsHOpfIxtQfO+cdrBoG6n9TgC2ZknMpQ2HcSSDIClph1avQzVcayel2SZL3zbndcpwWt4Qd37drl\n",
       "XaJea3nzZsA338JWJTgxP7IkggoTCZBAEhKQaWh7ztwk7Jh3u+QKAXxUXB8+8MADxv1kWQmjVa1a\n",
       "NaOM1bJlS4wfP967dD3QcuPt6vTTxPWkREfSAAx0wOGBp8YmkkDkBKwO7Y1faPvQochv5h1xIeCK\n",
       "KejBgwfjp59+Mq4nGzVqZITv3r17sXr1aqibysOHD+OOO+6ICwAWCljqF3rRYuDgQVgNGhAJCZBA\n",
       "EhKw1KNgqyzY88Upx/nnJWEPvdclV4yAZ86ciXHjxiErK8soYOkapAZg6NixI9Q/9JQpU7xH1kMt\n",
       "Nn6hFyzk9LOHnhmbSgIlIWB17QKIORKTOwi4QgDrVPPs2bODEtFQhbQDDoomdgfFUF/fisH139gx\n",
       "ZUkk4EICxi3lwi99Oh8ubF+qNckVU9AjRozAgAED8Oyzz6KxOIeoVKkS9oi6/Jo1a6BKWdOnT0+1\n",
       "5+Jofy1Zc7e6dYHVrq2j9bIyEiABZwlY8ttqzAy/WpRr++9sC1hbIAFXCODs7GwsWbIE6ixDvWLp\n",
       "erCOenXdt2vXrjSLCXxicdou9fwzcSqZxZIACbiJgPENrV6xTjrfcVPbUq0trhDACl2jIZ13XmHF\n",
       "gHXr1olu0EGokGYiARIgARKIjoDxivXav2Dn3AN1U8mUOAKupz958mS89NJLiSPEmkmABEggiQhY\n",
       "MruIOnWA5SuSqFfe7IprRsCh8D300EOhTvE4CZAACZBACQhYXSVE4WdzYInnO6bEEXDdCJiesBL3\n",
       "ZWDNJEACqUFAp6Htz+ekRmdd3EtXCGB6wnLxN4RNIwESSDoCVv36EI9HsNeuS7q+ealDrpiCpics\n",
       "L31l2FYSIIFkIOAfBVtnnZkM3fFkH1wxAqYnLE9+d9hoEiABDxPwmyN5uAueb7orBDA9YXn+e8QO\n",
       "kAAJeIyApXG/jxyBvWmTx1qePM11xRQ0PWElzxeKPSEBEvAOATMNrdrQ15/unUYnUUtdIYDpCSuJ\n",
       "vlHsCgmQgGcI6DR0zkvjgOsHeqbNydRQVwhgBRrKE1YywWZfSIAESMBVBLLOhvj+hb19O6xatVzV\n",
       "tFRojCvWgFMBNPtIAiRAAm4joKFfrXPFJlimoZmcJ0AB7Dxz1kgCJEACriFgvGLRKUdCngcFcEKw\n",
       "s1ISIAEScAmBtm2AbzfA3r3bJQ1KnWZQAKfOs2ZPSYAESKAQAat0aVjtz4E9d36hczwQXwIUwPHl\n",
       "y9JJgARIwP0E6Bs6Ic+IAjgh2FkpCZAACbiHgI6AsWIlbIm9zuQcAQpg51izJhIgARJwJQErMxNo\n",
       "lQV7wReubF+yNooCOFmfLPtFAiRAAhEQ8McIjuAWXholAQrgKAHydhIgARJIBgJWp47AV4tgHz2a\n",
       "DN3xRB8ogD3xmNhIEiABEogvAatSJUADNIgQZnKGAAWwM5xZCwmQAAm4ngBDFDr7iCiAneXN2kiA\n",
       "BEjAtQSsczvBnjcfdk6Oa9uYTA2jAE6mp8m+kAAJkEAUBKyaNYG6dYFly6MohbeGS4ACOFxSvI4E\n",
       "SIAEUoCAP0ZwCnQ14V2kAE74I2ADSIAESMA9BIw50py57mlQEreEAjiJHy67RgIkQAKRErBOPRWo\n",
       "UAH2mrWR3srrIyRAARwhMF5OAiRAAslOwChjMURh3B8zBXDcEbMCEiABEvAWAatrF9ifcxo63k+N\n",
       "AjjehFk+CZAACXiMgNXkDODYMdgbN3qs5d5qLgWwt54XW0sCJEACjhAw2tAcBceVNQVwXPGycBIg\n",
       "ARLwJgF6xYr/c6MAjj9j1kACJEAC3iNwdktg+3bY27Z5r+0eaTEFsEceFJtJAiRAAk4SsCwL1rmd\n",
       "qYwVR+gUwHGEy6JJgARIwMsEGCM4vk+PAji+fFk6CZAACXiXQJtsYMMG2Lt3e7cPLm45BbCLHw6b\n",
       "RgIkQAKJJGCVLg2rQ3vYc+YlshlJWzcFcNI+WnaMBEiABKIn4DNHmhN9QSyhEAEK4EJIeIAESIAE\n",
       "SCCXQPtzgBUrYR88mHuIG7EhQAEcG44shQRIgASSkoCVkQFkt4Y9f0FS9i+RnaIATiR91k0CJEAC\n",
       "HiDAGMHxeUgUwPHhylJJgARIIGkIWJ07AV8tgn30aNL0yQ0doQB2w1NgG0iABEjAxQSsihWBs84E\n",
       "vvzKxa30XtMogL33zNhiEiABEnCcAL1ixR45BXDsmbJEEiABEkg6AmYdWBSx7BMnkq5vieoQBXCi\n",
       "yLNeEiABEvAQAatGDaBePWDZcg+12t1NpQB29/Nh60iABEjANQSMb2h6xYrZ86AAjhlKFkQCJEAC\n",
       "yU3AuvhC2LM+hr15c3J31KHeUQA7BJrVkAAJkIDXCVjVqsEa2B85L4zxeldc0X4KYFc8BjaCBEiA\n",
       "BLxBwLrqCmDbdgnQMNcbDXZxKymAXfxw2DQSIAEScBsBq1QppN0zBDkvvkTHHFE+HArgKAHydhIg\n",
       "ARJINQJWqyxYZ7eE/a8Jqdb1mPaXAjimOFkYCZAACaQGAevO22BPnUaFrCgeNwVwFPB4KwmQAAmk\n",
       "KgEqZEX/5CmAo2fIEkiABEggJQlQISu6x04BHB0/3k0CJEACKUvAKGQNHYyc0WOpkFWCbwEFcAmg\n",
       "8RYSIAESIAEfAat1K1gtmsP+90QiiZAABXCEwHg5CZAACZBAfgJGIeu992Fv2ZL/BPeKJEABXCQe\n",
       "niQBEiABEiiOgFW9OqwB19JDVnGgCpynAC4AhLskQAIkQAKRE7CuvhLY+hPsufMivzlF76AATtEH\n",
       "z26TAAmQQCwJ0ENW5DQpgCNnxjtIgARIgASCEDAKWc2bwZ4wKchZHipIgAK4IBHukwAJkAAJlJiA\n",
       "9bvbYU+ZSoWsMAhSAIcBiZeQAAmQAAmERyBXIUuCNTAVTYACuGg+PEsCJEACJBAhAaOQtWUr7Hnz\n",
       "I7wztS53rQDesWMHjh8/nlpPg70lARIggSQgkOsh64Ux9JBVxPN0hQC+4YYbsHbtWtPMdevWoVev\n",
       "Xqhfvz5OOeUU3HXXXTh27FgRXeApEiABEiABtxGwslvDUoWsiW+4rWmuaY8rBPDKlStx4MABA2Xk\n",
       "yJE466yzsEU8qsybNw8bN26EHmMiARIgARLwFgHjIevd92Bv3eqthjvUWlcI4MC+fvjhhxg+fDiq\n",
       "VauGpk2b4rHHHsMnn3wSeAm3SYAESIAEPEDAqlEDVv9f00NWiGflGgGso92t8pbUoUMH/PLLL7nN\n",
       "XbFiBbKzs3P3uUECJEACJOAdAtY1VwGbt8Cev8A7jXaopaUdqqfIagYOHIj3338fjz76KPbs2YOM\n",
       "jAxMmjTJjITHjBmDWbNmFXk/T5IACZAACbiTQK6HrCeeRlrbNrDKlnVnQxPQKleMgO+9917MnDkT\n",
       "27dvx4YNGzBs2DCDomfPnvjuu++QlZWVADSskgRIgARIIBYEjEJWs7OokFUApisEcGCb6tWrh2bN\n",
       "miEnJwctW7ZEhQoVAk9zmwRIgARIwIMEchWyfvrJg62PT5NdIYD37t2Lp59+Gr1798bs2bMxdepU\n",
       "1K5dG3Xr1sWtt96K/fv3x6f3LJUESIAESMARAlbNmrCu7UeFrADarhDAjz/+OBYuXIhLL70Ud999\n",
       "N/785z8bIawmSEePHsXkyZMDmsxNEiABEiABLxKw+l0N/LiZClknH54rlLDee+89I4DLly+Pbdu2\n",
       "4eeff0bHjh1NE++//378/ve/x0033eTF7xvbTAIkQAIkcJJAroesp56hQpYwccUIWNd8P/roI6MB\n",
       "/dlnn2HRokW5X9jly5ejTZs2ufvcIAESIAES8C4Bq002rLPOpEKWPEJXjIBVC/rmm282GtBDhgzB\n",
       "vn37jCJWq1atMGfOHDri8O7fGltOAiRAAoUIqEJWTv8bYPe8GJa4HE7V5AoBrNPNq1evxs6dO1G9\n",
       "enUcOXIE6hFr9+7dGD9+PDIzM1P1+bDfJEACJJB0BIxC1lV9kXPfg0j7y/2wzjgj6foYTodcIYC1\n",
       "oZZlGeGr2+np6ejTp49uMpEACZAACSQhgbQ7ZBQsli4qhHF2S6T95kZYEoQnlZIrBPCoUaOKjHik\n",
       "wRn69u2bSs+FfSUBEiCBpCeQdnlv2Jf0gP3OFOTcNRRWp46wbroBVq1aSd937aArBLCaG40ePRqD\n",
       "Bg2CakIXTDXFfoyJBEiABEgg+Qioa0q1D7b7XAb7zcnI+c1tsC66ENb1A2BVrZp8HQ7okSsE8Isv\n",
       "vmg8X6n3K/X9XNK0fv1647oy2P2bNm3CiRMngp3iMRIgARIggQQTsMqVk9HvINhX9oU9YRJyBv0G\n",
       "Vu9eJpqSlaQeEV0hgPW5P/HEE7jtttuM16uSup/cvHlzPhOmwO/T4cOHcUoKa9sFsuA2CZAACbiV\n",
       "gFW5Mqw7b4ctUZTs1ycgZ+AgaEQl6+orYUmgnmRKrhHAKnQnTJgQFdvu3btDc7DUqFEj7Nq1K9gp\n",
       "HiMBEiABEnAZAaMpfe9Q2NdeA3v868gZIGvDA/vDknVjq7RrRFdU1FzhiCOwB8ePH6egDATCbRIg\n",
       "ARJIYQKWBOhJe+h+pI16AvbiJWI/fD1yps+ALUuWXk+uEMDq7/mBBx5AfVFBLysL8tWqVTPKWBoN\n",
       "Se2AmUiABEiABFKbgNWwIUr9dQTSRjwM+3+zkHPDzciZ/YmnobhiHD948GD8JCGqPvjgA+hUsWpC\n",
       "a4Qkdc4xdOhQ6PrtHXfc4WnQbDwJkAAJkED0BCyJK1zqmad8o+FX/oETE95A2i03werQPvrCHS7B\n",
       "FSPgmTNnYty4ccjKyjLxf9UpR2VZiFcPWc8//zymTJniMBZWRwIkQAIk4GYC6lO61NgXkSZ2wznj\n",
       "/g/26jVubm7QtrlCAOtUs8YBDpamTZsG2gEHI8NjJEACJEACVudOSPvHy8AptT0HwxVT0CNGjMCA\n",
       "AQPw7LPPonHjxqhUqZKJjLRmzRqoUtb06dM9B5YNJgESIAEScIaAzpqK8pAzlcWwFlcI4OzsbCxZ\n",
       "sgTz58+HesXS9WAd9eq6b9euXY2f6Bj2mUWRAAmQAAmQQMIJuEIAK4UMMbA+77zzCgFZt24dDh48\n",
       "CBXSTCRAAiRAAiSQLARcsQZcFMzJkyfjpZdeKuoSniMBEiABEiABzxFwzQg4FLmHHnoo1CkeJwES\n",
       "IAESIAHPEnDdCJiesDz7XWLDSYAESIAEIiDgCgFMT1gRPDFeSgIkQAIkkBQEXDEFTU9YSfFdYidI\n",
       "gARIgAQiIOCKETA9YUXwxHgpCZAACZBAUhBwhQCmJ6yk+C6xEyRAAiRAAhEQcMUUND1hRfDEeCkJ\n",
       "kAAJkEBSELBsSW7oiUY8KugJq0mTJjHzhLV06VL06tWLDj0ceNhz5sxBWloaPZg5wLpgFfp3VFqC\n",
       "lWtmcpaAWnCcOHEC6enpzlbM2uAXY506dYqYxoYNG/DRRx+hnsQddjq5RgA73XHWFz8CvXv3xqRJ\n",
       "k0xkq/jVwpKDEdDZpC5dugT1Khfseh6LHQH1Wb9q1Sr88Y9/jF2hLCksAtu3b4cq87755pthXe+W\n",
       "i1yxBuwWGGwHCZAACZAACThFgALYKdKshwRIgARIgAQCCFAAB8DgJgmQAAmQAAk4RYAC2CnSrIcE\n",
       "SIAESIAEAghQAAfA4CYJkAAJkAAJOEWAAtgp0qyHBEiABEiABAII0AwpAAY3Y0Ng27ZtqFWrFu2A\n",
       "Y4MzolJ2796NjIwMkyO6kRdHTeDQoUPQwDKVK1eOuiwWEBmBnJwc/Pzzz+Z3J7I7E3s1BXBi+bN2\n",
       "EiABEiCBFCXAKegUffDsNgmQAAmQQGIJUAAnlj9rJwESIAESSFECFMAp+uDZbRIgARIggcQSoABO\n",
       "LH/WTgIkQAIkkKIEKIBT9MGz2yRAAiRAAoklQAGcWP6snQRIgARIIEUJUACn6INnt0mABEiABBJL\n",
       "gAI4sfxZOwlETUCDkWsgeKbEEDh27FhiKmatnidAAez5R+ieDnz11Vc47bTT8uXNmze7p4FJ2BL1\n",
       "ANSvXz889dRT+Xo3cuRIZGVloWHDhtBtpvgQmDRpEjp27Jiv8EceeSTf30CfPn3ynedOdARWr16N\n",
       "/v37o1WrVrjgggvw5ptv5hb4ySef4NxzzzXf+yuuuAK7du3KPefKDXl7ZiKBmBAYO3asffPNN9sH\n",
       "DhzIzSIgYlI2CylMQF54bPmxsatWrWqLkM294K233rI7d+5si1tKe+vWrbb8UNnTp0/PPc+N6Ans\n",
       "3LnT/t3vfmfXrFnTbtOmTb4Czz//fHvatGm5fwPiojLfee5ER+Ciiy6yX3vtNVOIvODb4vbW/umn\n",
       "n+wdO3bYderUsZctW2aLS1D7nnvusW+66aboKovz3RwBu/K1yJuNWrp0Kdq3b4/t27dD/hhQrlw5\n",
       "+oOO46OUHyEMGTLEjAYCq5kxYwauu+4645P4lFNOMefffffdwEu4HSWBWbNmme+3PoOCSQQAOnTo\n",
       "gPXr1+P48eP0y10QUBT7OuNz55135n7n69ati4oVK2Lx4sXQGbhmzZqZmZ8yZcpg8ODBeOedd6Ko\n",
       "Lf63UgDHn3HK1KAC+Omnn8bFF1+MBg0a4L777kuZvieioy+88AKuueaaQlV///33kJFA7nEVwhog\n",
       "gyl2BK6++mo8+eSTyMzMzFfoDz/8gL1796Jbt27o1asX6tevj48//jjfNdwpOYG0tDT07dsXKmA1\n",
       "6YuQTjPrMkDB733t2rWxZ88eHDlypOQVxvlOCuA4A06l4tu2bYtXX30VX3/9tXkjffHFF81IOJUY\n",
       "uKGvv/zyC8qXL5/bFJ2JkGWB3H1uxI+ARkQaNGgQ5syZg02bNuHee+/lGnyccOvvzPXXX4/Ro0ej\n",
       "SpUqKPi9978cHTx4ME4tiL5YCuDoGbKEkwTGjBmDLl26mL3s7GzIOqTrp4CS8eHVqFHDjML8fdMR\n",
       "mU7VMcWfQNOmTfHKK68YgVCqVCkzXfrZZ5/xRTTG6NeuXYvu3btj2LBhudPRBb/3+/btM9P/oiMR\n",
       "49pjVxwFcOxYpnRJhw8fhmp/6qc/6ZunKKn4d/npEIFTTz3VjL781W3cuNFMhfr3+Rk/AroM889/\n",
       "/jO3Ap3+LFu2rFmnzD3IjagIbNiwARdeeCEefPBB3H777bll6fdev+v+5IXvPQWw/2nxMyoCGgRe\n",
       "17p0ClrTF198gSVLlpj14KgK5s0RE1CzJBUCW7ZsMT9Ib7zxBtQkgyn+BPSFUxXjdD1SbbN1elSF\n",
       "hf59MMWGgE47Dxw40Ix8RRsdmkXrGaJ9DhXOui6sLz6jRo3CVVddFZtK41QKBXCcwKZisWpvOnHi\n",
       "ROg0XM+ePY0wrlChQiqiSGife/ToAV2Pb9GihVFO0R+rX/3qVwltU6pUXq9ePQwfPtwI3UaNGuG/\n",
       "//1vIRvtVGERj35++eWXmDdvnlGAq169OvxZ7bHT09PNC48qaTVu3BiqEKejZDcnS82c3NxAts17\n",
       "BPSNVJUiVGORKXEEdO1Xf5Q0MzlLQH9W9e9ABQSTswTU9EvXf9289usnQgHsJ8FPEiABEiABEnCQ\n",
       "AIcoDsJmVSRAAiRAAiTgJ0AB7CfBTxIgARIgARJwkAAFsIOwWRUJkAAJkAAJ+AlQAPtJ8JMESIAE\n",
       "SIAEHCRAAewgbFZFAiRAAiRAAn4CFMB+EvwkARIgARIgAQcJUAA7CJtVkQAJkAAJkICfAAWwnwQ/\n",
       "SYAESIAESMBBAhTADsJmVSRAAiRAAiTgJ0AB7CfBTxIgARIgARJwkAAFsIOwWRUJkAAJkAAJ+AlQ\n",
       "APtJ8JMESIAESIAEHCRAAewgbFZFAiRAAiRAAn4CFMB+EvwkARIgARIgAQcJUAA7CJtVkQAJkAAJ\n",
       "kICfAAWwnwQ/SYAESIAESMBBAhTADsJmVSRAAiRAAiTgJ0AB7CfBTxIgARIgARJwkAAFsIOwWRUJ\n",
       "kAAJkAAJ+AlQAPtJ8JMESIAESIAEHCRAAewgbFZFAokm8O6776Jly5Zo1KgRXnjhBVxxxRWJbhLr\n",
       "J4GUJVA6ZXvOjpNAihHYsGEDbrnlFkyYMMEI4F//+tcpRoDdJQF3EeAI2F3Pg60hgbgRmDVrFpo3\n",
       "b46ePXuiadOmuOmmm2DbdtzqY8EkQAJFE6AALpoPz5JA0hDYuHEj2rRpk9ufjh075m5zgwRIwHkC\n",
       "FMDOM2eNJJAQAp07d8aqVaty69YpaSYSIIHEEaAAThx71kwCjhI4//zzsXTpUqxZswZHjhzBm2++\n",
       "6Wj9rIwESCA/AQrg/Dy4RwJJSyAjIwOPPPII2rVrh8aNG2P//v1J21d2jAS8QMASJQxqYXjhSbGN\n",
       "JBAjAjr61bxs2TIMGTIES5YsiVHJLIYESCASAjRDioQWryWBJCCQnp4OzUwkQAKJJcARcGL5s3YS\n",
       "SBiBbdu2YcGCBbj88ssT1gZWTAKpTIACOJWfPvtOAiRAAiSQMAJUwkoYelZMAiRAAiSQygQogFP5\n",
       "6bPvJEACJEACCSNAAZww9KyYBEiABEgglQlQAKfy02ffSYAESIAEEkaAAjhh6FkxCZAACZBAKhOg\n",
       "AE7lp8++kwAJkAAJJIwABXDC0LNiEiABEiCBVCZAAZzKT599JwESIAESSBgBCuCEoWfFJEACJEAC\n",
       "qUyAAjiVnz77TgIkQAIkkDACFMAJQ8+KSYAESIAEUpkABXAqP332nQRIgARIIGEEKIAThp4VkwAJ\n",
       "kAAJpDIBCuBUfvrsOwmQAAmQQMII/D/Gcmv8fZ2DxwAAAABJRU5ErkJggg==\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%%R\n",
    "# write into a function for later use\n",
    "\n",
    "plot_rv <- function(px) {\n",
    "    \n",
    "    # derive log price\n",
    "\n",
    "    p <- log(as.numeric(px))\n",
    "\n",
    "    # Compute RV as function of sampling frequency q\n",
    "\n",
    "    freq     <- 20\n",
    "    rv_ZHOU  <- sapply(1:freq, function(q){sqrt(ZHOU(p, q))})\n",
    "    rv_TSRV  <- sapply(1:freq, function(q){sqrt(TSRV(p, q))})\n",
    "    rv_MS    <- sapply(1:freq, function(q){sqrt(MSRV(p, q))})\n",
    "    rv_KRVTH <- sapply(1:freq, function(q){sqrt(KRVTH(p, q))})\n",
    "    rv_KRVC  <- sapply(1:freq, function(q){sqrt(KRVC(p, q))})\n",
    "\n",
    "    # Plot\n",
    "\n",
    "    plot(1:freq, rv_ZHOU, col=\"red\", type='l', ylab='rv', xlab='q')\n",
    "    lines(rv_TSRV    , col=\"yellow\")\n",
    "    lines(rv_MS      , col=\"blue\")\n",
    "    lines(rv_KRVTH   , col=\"green\")\n",
    "    lines(rv_KRVC    , col=\"purple\")\n",
    "    legend(\"topright\", \n",
    "           c(\"ZHOU\",\"TSRV\",\"MSRV\",\"KRVTH\",\"KRVC\"),\n",
    "           lty = c(1,1,1,1,1), \n",
    "           col=c(\"red\",\"yellow\",\"blue\",\"green\",\"purple\"))\n",
    "}\n",
    "\n",
    "plot_rv(tqBAC$PRICE)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "(b) Repeat part (a) for the BAC mid-quote series."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### <font color='Blue'>Solution:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAAeAAAAHgCAYAAAB91L6VAAAD8GlDQ1BJQ0MgUHJvZmlsZQAAOI2N\n",
       "Vd1v21QUP4lvXKQWP6Cxjg4Vi69VU1u5GxqtxgZJk6XpQhq5zdgqpMl1bhpT1za2021Vn/YCbwz4\n",
       "A4CyBx6QeEIaDMT2su0BtElTQRXVJKQ9dNpAaJP2gqpwrq9Tu13GuJGvfznndz7v0TVAx1ea45hJ\n",
       "GWDe8l01n5GPn5iWO1YhCc9BJ/RAp6Z7TrpcLgIuxoVH1sNfIcHeNwfa6/9zdVappwMknkJsVz19\n",
       "HvFpgJSpO64PIN5G+fAp30Hc8TziHS4miFhheJbjLMMzHB8POFPqKGKWi6TXtSriJcT9MzH5bAzz\n",
       "HIK1I08t6hq6zHpRdu2aYdJYuk9Q/881bzZa8Xrx6fLmJo/iu4/VXnfH1BB/rmu5ScQvI77m+Bkm\n",
       "fxXxvcZcJY14L0DymZp7pML5yTcW61PvIN6JuGr4halQvmjNlCa4bXJ5zj6qhpxrujeKPYMXEd+q\n",
       "00KR5yNAlWZzrF+Ie+uNsdC/MO4tTOZafhbroyXuR3Df08bLiHsQf+ja6gTPWVimZl7l/oUrjl8O\n",
       "cxDWLbNU5D6JRL2gxkDu16fGuC054OMhclsyXTOOFEL+kmMGs4i5kfNuQ62EnBuam8tzP+Q+tSqh\n",
       "z9SuqpZlvR1EfBiOJTSgYMMM7jpYsAEyqJCHDL4dcFFTAwNMlFDUUpQYiadhDmXteeWAw3HEmA2s\n",
       "15k1RmnP4RHuhBybdBOF7MfnICmSQ2SYjIBM3iRvkcMki9IRcnDTthyLz2Ld2fTzPjTQK+Mdg8y5\n",
       "nkZfFO+se9LQr3/09xZr+5GcaSufeAfAww60mAPx+q8u/bAr8rFCLrx7s+vqEkw8qb+p26n11Aru\n",
       "q6m1iJH6PbWGv1VIY25mkNE8PkaQhxfLIF7DZXx80HD/A3l2jLclYs061xNpWCfoB6WHJTjbH0mV\n",
       "35Q/lRXlC+W8cndbl9t2SfhU+Fb4UfhO+F74GWThknBZ+Em4InwjXIyd1ePnY/Psg3pb1TJNu15T\n",
       "MKWMtFt6ScpKL0ivSMXIn9QtDUlj0h7U7N48t3i8eC0GnMC91dX2sTivgloDTgUVeEGHLTizbf5D\n",
       "a9JLhkhh29QOs1luMcScmBXTIIt7xRFxSBxnuJWfuAd1I7jntkyd/pgKaIwVr3MgmDo2q8x6IdB5\n",
       "QH162mcX7ajtnHGN2bov71OU1+U0fqqoXLD0wX5ZM005UHmySz3qLtDqILDvIL+iH6jB9y2x83ok\n",
       "898GOPQX3lk3Itl0A+BrD6D7tUjWh3fis58BXDigN9yF8M5PJH4B8Gr79/F/XRm8m241mw/wvur4\n",
       "BGDj42bzn+Vmc+NL9L8GcMn8F1kAcXgSteGGAABAAElEQVR4AeydB3wUxdvHf3tp9F6VDiIIUkSq\n",
       "AoIKFhDsihURKba/vaCCWLGjIiD6gr0gioJdpFopFjoqXaTXQAgkt+/zzOXCkVySu+TK3uU3fIbb\n",
       "292bmf3u5Z6dZ55i2VLAQgIkQAIkQAIkEFECroj2xs5IgARIgARIgAQMAQpgfhFIgARIgARIIAoE\n",
       "KICjAJ1dkgAJkAAJkAAFML8DJEACJEACJBAFAhTAUYDOLkmABEiABEiAApjfARIgARIgARKIAgEK\n",
       "4ChAZ5ckQAIkQAIkQAHM7wAJkAAJkAAJRIEABXAUoLNLEiABEiABEqAA5neABEiABEiABKJAgAI4\n",
       "CtDZJQmQAAmQAAlQAPM7QAIkQAIkQAJRIEABHAXo7JIESIAESIAEKID5HSABEiABEiCBKBCgAI4C\n",
       "dHZJAiRAAiRAAhTA/A6QAAmQAAmQQBQIUABHATq7JAESIAESIAEKYH4HSIAESIAESCAKBCiAowCd\n",
       "XZIACZAACZAABTC/AyRAAiRAAiQQBQIUwFGAzi5JgARIgARIgAKY3wESIAESIAESiAIBCuAoQGeX\n",
       "JEACJEACJEABzO8ACZAACZAACUSBAAVwFKCzSxIgARIgARKgAOZ3gARIgARIgASiQIACOArQ2SUJ\n",
       "kAAJkAAJUADzO0ACJEACJEACUSBAARwF6OySBEiABEiABCiA+R0gARIgARIggSgQoACOAnR2SQIk\n",
       "QAIkQAIUwPwOkAAJkAAJkEAUCFAARwE6uyQBEiABEiABCmB+B0iABEiABEggCgQogKMAnV2SAAmQ\n",
       "AAmQAAUwvwMkQAIkQAIkEAUCFMBRgM4uSYAESIAESIACmN8BEiABEiABEogCAQrgKEBnlyRAAiRA\n",
       "AiRAAczvAAmQAAmQAAlEgQAFcBSgs0sSIAESIAESoADmd4AESIAESIAEokCAAjgK0NklCZAACZAA\n",
       "CVAA8ztAAiRAAiRAAlEgQAEcBejskgRIgARIgAQogPkdIAESIAESIIEoEKAAjgJ0dkkCJEACJEAC\n",
       "FMD8DpAACZAACZBAFAhQAEcBOrskARIgARIgAQpgfgdIgARIgARIIAoEKICjAJ1dkgAJkAAJkAAF\n",
       "ML8DJEACJEACJBAFAhTAUYDOLkmABEiABEiAApjfARIgARIgARKIAgEK4ChAZ5ckQAIkQAIkQAHM\n",
       "7wAJkAAJkAAJRIEABXAUoLNLEiABEiABEkgsTgg++ugjZGRkFKdL5rWSAAmQAAnkQ6BatWro3r17\n",
       "PmeE71CxEcBTpkzBc889h2uuuSZ8NNkyCZAACYSQwIgRIzB8+PAQtsimchIYM2YMKlWqhFatWuU8\n",
       "FPb3xUYA68z36quvxqBBg8IOlR2QAAmQQCgIfPDBBxg8eHAommIbeRBYtWoV3G53HkfDu5trwOHl\n",
       "y9ZJgARIgARIwC8BCmC/WLiTBEiABEiABMJLgAI4vHzZOgmQAAmQAAn4JUAB7BcLd5IACZAACZBA\n",
       "eAlQAIeXL1snARIgARIgAb8EKID9YuFOEiABEiABEggvAQrg8PJl6yRAAiRAAiTglwAFsF8s3EkC\n",
       "JEACJBBNAhq7YefOndEcQtj7pgAOO2J2QAIkQALFg8Btt92GcuXKHVUTEhJw++23Iy0tDZZlYfPm\n",
       "zUfBGD16NM4777zsfWvXrkXv3r1Rvnx5dOjQAc2aNcPDDz8M27bNOXv37jXtbN++PfszupGznaMO\n",
       "OvQNBbBDbwyHRQIkQAKxRuD555+HCkhv1TCPpUqVwnXXXRfQpezfvx9du3ZF+/bt8c8//0CjVM2d\n",
       "OxezZs1C//79A2ojlk6iAI6lu8WxxiUB9+sTYS9dFpfXxosqvgQWLlyIAQMGQIVw8+bNAwIxbtw4\n",
       "NGrUCA888ABq1KhhPqNxmj/55BO89dZb+O+//wJqJ1ZOKjaxoGPlhnCcxYeAvXs33I+PAlJSYE//\n",
       "AtYVl8N10QXFBwCvNG4JpKam4rLLLjPJbzQGv2/R5BKlS5fO3rVo0SKjstYdS5YsQbt27bKPeTcq\n",
       "VKhgBLMK9S5dunh3x/wrBXDM30JeQCwSsBcugvuJp2Cdcxas/pKha9s2uB8aicw/F8N1712wRG3H\n",
       "QgKBErD37EFmn4sCPT2o8xKek+/pSa2D+syNN96IMmXK4KWXXsr1OU184Jv8wLu2qyduk7+DvGbL\n",
       "xxxzDP79999c7cXyDgrgWL57HHvMEbAzM2FPfAP219/C9cB9sFq19FyD5CR1vfwC7DHj4L5hKFwj\n",
       "H4LVoEHMXR8HHB0ClhgsJc76Njqd5+j17bffxqeffgqdrZYoUSLHUeCRRx7JVi/rQTWemjFjhjnv\n",
       "xBNPxIYNG3J9RnesX7/epAzU2XNSUpJZZ65SpUr2ubp+rIZbsVS4Bhzhu5VxTD3Y8pTHUvwI2Fu2\n",
       "wH3L7bD//geu18YdEb5ZKKzERLhuvQnWddfAffvdcH/1dfGDxCuOaQJqOKWz34kTJ6Jhw4ZBX0vH\n",
       "jh3Nem96evpRn/3111+xceNGtGzZEmpVXa9ePaxbt+6oc9asWYP69esftc/pbyiAI3iHbFWfNGwA\n",
       "+1vP014Eu2ZXUSZgz5kL92ARrqd1QcKTj0FnLHkVV/ducL34HOz3PoT7aXk9dCivU7mfBBxDQP12\n",
       "L7/8clx66aXGkll9eL1V14QDKep+dPLJJ+Oqq67CbrGR0LJ48WKTy/2FF17InlF369YNw4YNM0JZ\n",
       "21YDrSlTpuDMM88MpBvHnEMBHMlbsX4DrJYtYM+cHcle2VcUCajwdD//ItzjX4NLBK/r4gsDGo1V\n",
       "pw5c48cAMhNwD70F9qZNAX2OJ5FAtAjs2LED8+fPx4QJE1C5cuWjar9+/QIalvoJv/nmm8Z16YQT\n",
       "TkDVqlVx4YUXGjemIUOGZLehwliPNWnSBGolrYZdI0eOROfOnbPPiYUNrgFH8C7Za9fBatYU9nff\n",
       "Q2fD1rHHRrB3dhVpArasWblHPCprufU9KueSJYMagiXrZ5asE7s/nWaEsOvO22CdekpQbfBkEogU\n",
       "gerVq2cHy8irT1+DK+85t956K7R6i67xTpo0ybSlM2gV5jlLSflb0nXmTLGp0HNUGMdi4Qw4kndt\n",
       "3XrI4gWsLp1hz54byZ7ZV4QJuL/4Cu6bRWDKjNcYWwUpfH2H6+rTG65Rj8P98li4x70KNeRiIYF4\n",
       "J6CzYX/C1/e6dT04VoWvXgcFsO/dDPO2LQLYqlsHVreuVEOHmXW0mrcPHIB75GOwp3wC10vPw3V2\n",
       "z5AMxTq+sZlFqxbFfdtdsOWpn4UESCC2CVAAR/L+yY8nRADjRIkKIz+gxigrkv2zr7ASsFeugvv6\n",
       "wRBfCLjGvgRdxw1lscSv0hhwtTsZ7oFDYP/2eyibZ1skQAIRJkABHCHgxvWodClYsr6hqhWqoSME\n",
       "PkLduD+YDPc998M1dJDHlSg5OWw9u67sZ9Ta7kefgPud98LWDxsmARIILwEK4PDyPdK6d/abtYdq\n",
       "6CNoYnnLRCC6+z7Yc3+Aa8LYiBlJWa1bmf7sn39F5n0PwA7QzSOWWXPs8UNgj0Tu0uxIxb1QAEfo\n",
       "G2DWf+vVPdIb1dBHWMTolr3oN7gHDIJZnxW/XSvClpiWuF+4XnhGVN21jepbVeAsJBAtAuqP601F\n",
       "qJbMLpcr+/3ZZ59thqURr4477jg0bdoUtWvXNj6/f/zxhznmTTN4rHiH6DGttWrVwvnnn48tEsRG\n",
       "w1AmSrAaTVeYs6j70euvv55zt+PfUwBH6hapBXTdIwLYqKG7doE9a06kRsB+QkjA/X+TTCxn17B7\n",
       "4RrQH5b82ESjWGIF6hoiau+bhhgVuPvb76IxDPZJAib2szcNoQpaDRPpff/ll1/ikPjEX3zxxRg/\n",
       "fjw2iV/71q1bTcANFbC+RQWyhqPUqkE41NXo/vvvhwrm008/He+//77v6UYg//bbb6btow7EwJvo\n",
       "/GrEAJhQD9H4AKsBlk/RqEgUwD5AYmTTuAItWOTx7RVVsBOK+ge7XpGAHz16wf3u0T9QThgfx0AC\n",
       "moDhgHgJJGfZR+gMWcNWauAOjaLlr1SsWBGnnHJKdlQszayUUwC/88476Nu3b3ZGJX/tOHUfA3FE\n",
       "6s5o3FJfFbT266OGZlCOSN2IovXjfvkV2IuXelS/RfDtLdoo/H/akmwxCVsk+Ickc7A7tGMyB/+Y\n",
       "4nTvfrmuJ8N0bf2l3QZFblsTM2ieXw0j2b17d5x77rno06ePmdX6Nj579myTVEGF8qpVqzBq1Khs\n",
       "9bLOljUi1vLly40aWz+nyR/8ZV3ybdOp2xTAEbgz9q5dENPnXPF/fdXQmguWxdkE3C+8BHvVX3Bp\n",
       "ejaHCV8vOUuyKllDbpA8w0+ZUJaqomYpDgRS5CLPC9OFHsk4VNQOVAD36NEDOmt9/vnncdttt+GZ\n",
       "Z54xr962H3zwQbP5999/m+QL33//vcmCpDtLSZpOVWPrLPjhhx82GZc0C5IK9FgsVEFH4q6ZCFhH\n",
       "1n99u6Qa2peGc7fdz0qqwH9Ww/XsKONK5tyRSnSdnj2A6tVgv/GWk4fJsYWUgM6l2oaplgvJSHUt\n",
       "Vw212rVrZ1IQavaiqVOn4r777jMzXW8nc+bMwbJly7BgwQKsXr06V3pCVUO/957H/U5nv5q4QdXZ\n",
       "sVhic9QxRtoTAcu/APZVQ8fYZRWL4WrsWveoZ2CLQYjr6SccO/PNeTM0brQ97XPQMjonGb6PFgGN\n",
       "3azqZ9+i2Y80B/DKlSt9d5vtFi1a4NFHH8W1116LzZs3Zx/v0qULDh8+jEWLFpmZ8DXXXJN9LNY2\n",
       "KIAjccdy+AD7dumrhvbdz+3oE7DFaMR+4iloHl+NxazJEWKlWGK8Yt1yo7HUZjrDWLlr8T1OtWDW\n",
       "Nd1HHnkE6gesM+JPPvkEK1asQKdOnfxe/ODBg9GgQQPcc8892cf1N1NnwZoBSfP/Nm7cOPtYrG1Q\n",
       "AEfgjtligGXlNMDy6ZdqaB8YDtnUhAf2Y09C1+81jaCVomtssVVc3U6DVb8ebHGZYiGBaBMoLyFa\n",
       "Z82ahQ8++MC4KKmvsK4B68w4r6QLKmxffvllY2j1008/ZV+Cqp2nT59uZsfZO2Nwg0ZYkbhpugYs\n",
       "wRLyLLSGzhNNNA6o8HU/8jhw8CBcjz8CKykpGsMISZ/WbbfA3X8gbHFTspo3C0mbbIQECiLQoUMH\n",
       "4+eb87zWrVtjyZIlJgqWGk+pr7C3aBAPf+kK27dvb2bL3vP0tVGjRn7P9T0nFrY5Aw7zXTIhAuWH\n",
       "PL8oSVRDh/kmBNG8La4P7uEjIYtMcD36cEwLX71sS37UXHf8z6OKTk8PggRPJYHwEdB8vr7CN3w9\n",
       "ObtlCuBw3x+z/puHAZZP31RD+8CI0qYtQtf90MNiRuyCa+RwWBL2Lh6K1akjLNGy2OMmxMPl8BpI\n",
       "IG4IUACH+VZ6cwAX2I2qoWW9kSkKCyQVlhPUUMn9gAhdWet1DX8A8eY/a90swTnm/cAUhmH59rBR\n",
       "EigcAQrgwnEL/FP+ImD5+bRRQ3fpHFRoymXvpOOPcQexZWEGMg7aflrlrkAIGOF7/4OwypaF9eD9\n",
       "cSd8lYGmwXTdcyfcTz4Nm1loAvla8JwIEdi2bRs0TGVxLBTAYb7rZgacnwGWT/+BqqHVUGHeAwew\n",
       "dVEGXMnA0jfT8en5+/Dd0FQjkDf9dBiHUimQfdDmuWnL+rzm8bUqV4YliRWilVQhzwGG8IB1chtY\n",
       "7dvBfnlsCFtlUyRwhIBGt9LJxIsvvnhkp2xpWEld8+3atavZrwJ3xIgRqCQZvdRgS1/Vn3ffvn3m\n",
       "uGY20tCV3qxIx0iYVc2ipNGv9LMaelIDeuQsmjFJ15e3b9+e85Aj31MAh/u25BMFK1fXAaqhfx9z\n",
       "EBlpNro8VQonXlcC3UeXRt/PyqLl4BJIKm1h1ZRDmHbJPnx9fSoWvZSGjXMOI31P8XzCzMXYZ4fO\n",
       "BI3wlT9u1313mx8On8NxualhKu2Fi2D/Oj8ur48XFX0CmrVoypQpRw1Ew0n6RqvS7EgaxUojXf3z\n",
       "zz8m1aBmSFIfYW/p2LFjdlYkPTZt2jQTvvKbb77B5ZdfDs2apJ/1LRohS1MfxoqBFwWw790L8bbO\n",
       "rrB7D1CjRkAtB6KGXvVRuqicM3HKyFJwJVjZ7SYkWajaIhEnXJWC054pjfOnlcXJd5RAqWourPny\n",
       "ED6/IhVfXpOKBc+lYd2MwziwvXgLZFuysrjvug+WpIh03XV7Nsd439AY1vqw4X76ORgL/Xi/YF5f\n",
       "xAloUA0NuKHpBr3lww8/NBmLvO/VBUl/75KyXPzUJ3jixIm44oorvKfkem3SpIlxP9IgHipgVdDm\n",
       "zIz01ltvmZl0rg87dEd8mHk6FC509lu7VlAzK6tbV7hHvwz4Sc6wcd5hrPjgEM4YU9rMdPO7bBXO\n",
       "lZsmmtrk0hTjM7f7Hze2/5lhZsS/vZhm2qgiQrtaqwRUapKA8vUS8msybo6p4HHfLWrn4xvDdetN\n",
       "cXNdgV6I1bIFrK5ibyDfM1W7s8Q+AV1CXbs2PNchCiJRBwfedoIkAOnVq5eJcjVo0CCjfp47dy4e\n",
       "euih7JCTmglp9OjRkiK9LjQcpQpT3VerVq3sjnaJUep333nyW2sMad3WGa+2rUVV1trmsGHDzHvN\n",
       "Hfzff//hnHPOMe9j4T8K4DDepYIiYPnrWt1FvNbQvikKdyzPwIJn0tBVZrc6qw226NNmxUYJph53\n",
       "gefTe9dnYtsfmdiyIANLJqaLsE4wauzSNYJvP9jxROt8W9aY3HfKWm+L5nDdOCRaw4h6v9YN18N9\n",
       "naijxTJacwmzxDYBUejgscfCcw133glJ/Rdc25o2UAWsCuAZM2aYnL6JPm59OuNVtfRnn31mZrHX\n",
       "X389dJ9Gt2rTpo3pTLMhaaQsFb5r5elCcwerANbztKjAHjhwoAns0bx5c6PS1hm0d1ZtTnL4fxTA\n",
       "4bxB+cSAzq9bq2sXYw3tTVGY+p8b84alof39JY0Aze+zwRwrVycBWhv2TjYz5OVvH8I3N6Si4XnJ\n",
       "aHpFCpJKHlFxB9OuU881aufb7oLVtg1cgwY6dZgRGZclSdFd999jXK9c8tBnSZhAltglUKYMJGeu\n",
       "c8avcZ81XKTOYidPnowLL7zQCFLvCA9qcCKZFGhqQa3pEiTmTpH0AwYMwO+//25Oa9u2LWbOnGm2\n",
       "n376aYwZM8YYbnnbSJbv8GWXXWYyI+na8bvvvmvWib3HY+E1fqc6DqBvr98ga4x1gh6JqqHtmbPN\n",
       "5w7tszHnrv1ofl0KarYLX0hE/WPQ9eOzJpVB2nYbX1yZijVfHQp67E7+gPv8S2C1blnsha/3Hlkn\n",
       "NIV1Vg+4nxvt3cVXEggJgRTxpz/zzDNNnGcVomecccZR7fbv39/MkL079fw77rjDrB37C0d51113\n",
       "oWHDhkZAez+jr6qG1vXlefPmmXjSrVq18j3s+G3OgMN5iwo7A85SQ2es/Rdzn62AWl2T0LCX+BtF\n",
       "oJSs5EL7e0ti58pMLJJ14r8/OYTWN5dAleaBf1WW4DdkIgOW/JOYUmbUuqXv/f3TE/Q832PiuWr+\n",
       "6bEaqIUU+VeUYs+eY1LzJdw4vSjNxN1nreuuhT1wCNwzxEr19O5xd328oOgRuOCCC3D//fcbNyMV\n",
       "sL6lb9++uOmmm6ACs3v37hJ2/SBGjRqF0047LU+bmVdeecWkLlQ1tXcdWGfJqtrWGbKmLYy1Eviv\n",
       "aqxdWZTHq2ENsXUbICb5hSmqhv75jo0o1aoiWgwMwgKiMJ35+Uyl4xPE2KsM1n9/GD+NTBMB7Fkf\n",
       "zmv9eTP+xRx8g7n4FpVRFWJ/bVqVbLqw/f7zWGG7cxxH1rm6X4sK5n+x3rRZBw1RBw1MrSuvVVDd\n",
       "nFPQfya5wquvI+HjDwo6tdgd13CbrmGiipZ1cbt1K1jij8lCAqEgoIZVmjZQBWvOcumll5ocv3p8\n",
       "9+7dZgmsc+fOuayafT93/PHH49ZbbzXrwjq79gp1nQU/+OCDooJ3kA7ed+D5bFsy3S8WERs0BZau\n",
       "R2h+yUgUW/zb3I88gYSJEwrV3R/DV2PbR8vQ7fdzoS5G0SyZh2yseD8dqz46hEZ9POvDiSUsHMB+\n",
       "/ISZRuhuwX84FaejC3qgNuqHdLgqjP/DBhHDq7EO/8jrGrN9EGmomyWUVSCrcK4lfSfLP9/i/nQa\n",
       "7B9+RMJTT/ju5rYPAfekNz0agice9dnLzWgT0NmhGivFc9GgGWpYpQE0olFuv/12XHnllTjppJMi\n",
       "3j1nwGFCbhdS/azD+WfaIfy7uiq6NfwQrq2tCz2LDtWlJSRbaHZ1CdQ/Jxl/vJqGd69cj103zMSf\n",
       "PT5BS5yMPugnr23NbDVUffq2o7PgY0XUau2IbtmH9mFvlkBejRVYLPPvT81suZoorVUY10Uj1Dp4\n",
       "DGp/8hqqPPhc9ue4kZuAddUVsAffBPeXX8N1ds/cJ3APCYSJQKwEzQjH5VMAh4OqtllIA6xNPx/G\n",
       "kknpxtc3ZXJ7Y4xlXdkvXKMMuN0NMuucU+UbzLt/BmqsaIa6L16Eiz7ug3a3lEXlE6LzNSqLcmiO\n",
       "1qZ6LyRTVp83yfzYM1NejW/+ehfr7luPzIZ3mdlyE5yIE9AKx8n/ifKPxUNAk08YVfStd8Bu0xpW\n",
       "tWpEQwIkEGYC/AUKE2CdAVtdTg2q9V1/ZeLXJ9PQ+cnSUF9c+7SsoBxREsD7sAc/YIZRMe/BbqNe\n",
       "fgjPoWYTcZZ/BVj33SH8MDxNInBlrQ9Xjb5RfQISjApc1eC2LDm4H5AZ3atfY58YcakKWw3E3sME\n",
       "bBQR3RjNjPBuJgK5nohkNfsqzsWqVw/WZZfAPeoZJDz7VHFGwWsngYgQoAAOF2aJgmXVqxtw6we2\n",
       "ujH3/gM4+c6SqCxRqbTkFZQj4EYDPFEiu+GFFwCJ9IZmLTKwv/HP+CHhWyzDH2gjSt/LccNRs0xv\n",
       "s3XPSEatLklY/m46vh6QiuPOT0aTfilITHGGILPfeNu42VjVq8tcGXINJ5mq49f16+VyfSqQx+Ip\n",
       "ebzYiaaiSFdhrLPqY0SJXRyLCmB77g/QdXNXn97FEQGvmQQiRiD6U5aIXWrkOlKrW/y7ScJQ1g6o\n",
       "08P7bcy++wCaXi4C7dSjfX1NhqQsn+CAGgvyJHGfw3XXAdXarMHXNV/CgPRLceNnU7Ho1U7o+M57\n",
       "6Pj7PWh8SNah8yi6Ptz82hLo+XoZpG5y4wuJOa2W09EumlfZnjkLeanvS6G0PFx0wjW4UcTva6a2\n",
       "R2eZF/+NUbgPN8ljx1jZmo2vsQNizV5MivqDu+6/G/b/TYItAfBZSCAYAs888wzU/ci3qH+vxnHe\n",
       "uHGjsVQuSpYjdUUqV66cqWoFrcE4vO9fffVVvPHGG1Br6pzllFNOgcaJdlrhDDgcd0R+/FGtKqys\n",
       "QOP5deHO9KQWrNE2EcddcLSvnH7OCpMaWqK7iSM8sHw5MHjUKgxpdCIexzgRRK+g5HHVIWFV8eef\n",
       "wAQx4taEI5IJDC1aeOqJJwKlPF5G2ZdWStTPHYaVgobM/O3lg1j5YTpaDimBai2j8xVzT/g/WJde\n",
       "bHL8Zg8yn40KqCTiuLupetoWWUleKrPjPzHfqKxLo4zMjlubqmvIuv4cr8WSeLzW1VfC/cTTcL34\n",
       "XJ5+mfF6/byu0BFQC2MNxKGxoKtWrWoa1ixH3ghXumPFihXGV7h9+/Ymy5FGxNKQkxp4w1u8WY6G\n",
       "Dh0KrVq07UOHDuHllyV2flZRARxLJTq/jrFEqDBjFQMsBBgB69dRaUgua6HV0NzCV7sOhxr6p5+A\n",
       "Z58FunUD7pu4FC8lDceXImzUMMkUCbUqKTpN1ffyHcfSpZD0X5CoM5BwcJ7JvVcgt2wJeCMZagII\n",
       "r/+wrmdXaJCAFoNSTMhL03YE/rNXrJQBL4MloRYLW6qLElprd5xrmtD1YxXI6uv8Kp5FTbHJbi5z\n",
       "6FZoZ7jp2nM8FdeF5yPz519gT/kE1kVHz2ji6Tp5LeEjoALy119/xaxZs+T3Ie9Qp3llOfImWdAR\n",
       "6ux15MiR4RtslFqmAA4DeGOAFYAAXjLxIFI3utHthdL5zjK8aui81KmBXoJkAJNE1jCz2+HDgXIn\n",
       "/oMnMULUrfcfEb5+GhMtD1qLFlqrFtWwrxQZpzNkSeuJp56CJNQGVBCrUNYZcp3uSbI+nIi/JJLW\n",
       "97fsN2vFzfunoETF8K96uMeOhzXgWmi841AVbwCQs3GheCW7RRyvFHH8C94WRfVmmS2faIRxW1lF\n",
       "bgedTcdD0UxR7htvhX3m6YwVHdEbKn9gZtlDHuQhqqoYKxpaQpMo6Mx07dq1uYRvuLMcaY5hFf6+\n",
       "Zc2aNb5vHbNNARyOWyEGWJCA//kVjbO87tvDOGNsaeg6an4lFGpoeRCVcG3AqWKYrQFjdpf4FyNF\n",
       "8F6HW7MNk/Ibg+8x8VjBCTJZ1iqx0CWKDSSxtkcg//ADMH48oCnMeve2cFrfFNQ/OxnL3ko3+Ygb\n",
       "X5SM4yU9YrgMteyffgb27oPVs4fvkEO6rX7JjcRkS+vFuFa8kXfjd/wqJl2/4h2ZH2sksFZonz07\n",
       "1vNjsRhVdI8zYL8+Cdbtt8biJTh4zDtlbFukbs6qvts7ZJ8+xNWWGlhRj4WhuDSwk4M86155TFfj\n",
       "xEDLV199ZUJGnio/NhqKMqdaOBJZjtyanzEGCgVwGG6SLQLYlY/absvCDPz5ajq6v1gKKeUL/nEu\n",
       "iho6LQ3yJAosXAjJmwmJvQpjVPQE7pY/1+skfIa6SslJ4mwEmb1B5m/BFrHbkfUaT5UsZKaocZdk\n",
       "GpMMJkDPnhbOO6+ErHEnY/GEg/i8XypOHKCCOSnfmX+w49Anb/f41+AaPDCk7RY0jnLCTCOAadXZ\n",
       "8d8SFuR3mR2/JevpOjtuIbNjnRlrsJJYmx1b11wF91X9YZ9/Hqz69QtCwePZBPRv6j+pKmBVuObc\n",
       "LiX7akitnvUqLgjomrVdDQd3W5K7OxPpe+UPKYBSFuUxCZ8HcGbwpwS7vHKMPH1/KaoxDTHZQlRi\n",
       "F110kcn56+053FmOGjRoIF4d4tbhU+bPn+/zzjmbFMAhvhcmsmc+a8B71mTip0cO4NRHS6FsLZlK\n",
       "BlgKo4ZetAh48knPWu7EiZBQbxB/2D1Q4XuWxK/qKoZFENMrEc9ST5YqU1fzpNsz633BDwdyot+i\n",
       "M22t/8nvzrRpkMDrQIMGLhHEpXDKhZlYPP4gVk0+JIZaocvyZH/1jTw/lIfVob3fMUVip852G8ta\n",
       "utZL0F9o7zKzYzXmeluM3DRKl1cY65q702fHluS5s/pfA/dLryDhOVGhsOQgsEfei/rHVFVzbpS6\n",
       "SaoYThgBq0JWq6iExA3uyL4Ssn2kqCfE1t8zsPW3DGxZmIYD29yo1joRVhB/gsEKyiO9h3arpaxF\n",
       "Va5c2dQRI0aYnMA6G65YsWKujjTLkc6YNQ3hp59+mn1c4zv369dPHt57xmSWo+wLKWCDArgAQEEf\n",
       "3ixPvCoEShz9B6btHEr1uBudMrJUUNmF9LPBqKF11jtuHKDGVvfcA0lwrS3oPHefKJOuRwck4Wx8\n",
       "IHsaS9Wn7lukqjCWD4rjDcTuV2ykpaoaV4Wx/oAUrtSsCdxwA+QPDJgzB5g6VVpel4BzzimNDjUP\n",
       "eyymq6ogLlGkXMe2WIrZE9+A6+GHCjfQMH2qPCoK4Z6m6uz4L+NdPR9vYgy2yuxIZ8eqrm4hD0B6\n",
       "rhOL1esc2J98CnveD7BOPcWJQ4zAmFSlqcLVK2z1VQXuQami/pHQp2IBIbW31OpS89ckaXz17Ysz\n",
       "sWWRCFype9e5TcITFbrt7k1GxcaSHUxUS8k/BCGBpVenFV2Lff/993HzzTfj7bff9ju8eMxy5PdC\n",
       "/ex0nADOyMjAvn37/D4t+Rm/83bp+m8d/2s3+ze7kVTKkshRwWM3amjNGiK+dLo2l1dRS2Wd9Wpc\n",
       "8UmT1F3IllMXy/P4d3ha1icbS7qCi4zA7Sz7c/7gyxRZ5saeukFev5Kqa3+qelRhrOrqZKnBF103\n",
       "VqtrrRukaZ0VD3s1CU2bJOLUSocx+64DqNFWLKYl85O6NAVb1FpXGoMl1alFZ7vHy4q7Vp0da/CP\n",
       "P2RmrOrqN0VdXVV+uFUQnyhVz3FKqEzLJSO/5Ua4n3oWLtEuaAal+C5q+KTC1Stk/5HtdVI1PKf+\n",
       "LaiwVUGr24GF7FR3w53LM2WGK0JXlqA03WfF4xJQ7aQEtJKHz8onSCjQREvai6+SIH/4mqVI1c4X\n",
       "X3yx34uLxyxHfi/Uz05HZENSXy5VVaip+b8aQEHW8kqJo2l9WXNSJ25N3lzUEqlsSO4PJssi6w64\n",
       "hg7ONeQVH6RDhXCbW1XQBV/cL8mCqqhxXH5CU6ane4yf5s4FRKuDdu2WSwezpc6R6MgVxXFmi8xx\n",
       "m4qhxiNBdpwp5/8o9Wupq6TqjFmFdEOpRSvq3jRrlkcYb/nXxumV0lFhwyE0vdCTcSmpdGA/SLY8\n",
       "sLmvvBauV16EVcj0j0W7kqJ/2rt2vBgLxPd4geR+Wit3q4Woqz0CuaY8OEW7ZD4wHFbzZnBJtKz4\n",
       "KWoMtVSqr8DdK+9VyNbP8Zoi7wMvu/4WgZs1w9XZbtlaLqNWVqGrD+GaUaygctpp3eVv5PuCTuPx\n",
       "IhDQWXqxzoak6onNorr9/PPPZZ2wgUlNtXfvXixbtgz/+9//TLLmIUOGFAFxBD+qM+BmYh7sp+j6\n",
       "ToNzCzeD1ObyUkNr0Ayd9Z544g5MnPg5ypSZIWfrj0U3ya77tDjKTJLZVBUMwkPaTJAlQc7X2bLW\n",
       "bVK/lTpSajmpqp7uJrW01OCLegn16OGpa9ZYYrRVAh9sTEZrCeKx6N19OOWWFDTqmyzrYPn/UNlv\n",
       "vwur22kxK3yVnO/a8YW4WgJlpkqYzEUmEMg0SFYsiVPdQoy4dIasAUE0kleki2vIDXAPvQX2WT1g\n",
       "VchfxRrpsQXXnwrdeVlVZ7niP2eE7ZnyqoJX1k0KUTQSnM5uNy/IwDZZz02pIAJXhK3+zXcYlmj8\n",
       "/QtqVh9KlywBfvvN41WwTf/kWOKWgCN0Sd98842sV/6EGjWOrDWq47ZGTBkt4ZqGi9NqrAhg9QF2\n",
       "naMzxKOLqqD0KbjDA4VHnlMNrX+sr722S/KF7hO/t3fQqZN3hjpCOtend2CirOXuFkOgu8XYquhG\n",
       "GlWlxX5ZVX4hjIp6orx2kKrCWNfAClfUwFZybYvBhgszZpTEF+8kY8mwg2jw/CF0u6cEmvZK8tuw\n",
       "vWUL1PjKNek1v8djdadG3movdtVatWiGJ1VXf48vTOxqzX+sqmpdQ24IUb3Lv3AX1S5YkqrQ1ihj\n",
       "d90e7u5C3L5Ksh+kzpW6TmpHqRdKVQOJwv1NZh62RdBm4r9fDkvNwOEDYmrVIRHHnpqIk24pgZKV\n",
       "XdJ2/kV96mWeYQSuCl0JCoVGjTzeCtde6xHC+bfAo7FMoHDfvBBfcfPmzU1osssvvzxXy9OnT88O\n",
       "YZbroBN3rJM/bj9JGHYs86igkssU7YfS6toZ9qw5JsZxp05/iVXxHzLr3YeyZS8QGscfReRDEb8a\n",
       "MOIBUUDnTFJ/1ImFetNaPqV1n1SdcY+Vmi5VBbFMa3OtL8uuAIrarp17rtYErFpVGtPGZWDCjQdR\n",
       "bXg62suMuNs1Rwti46N6fh9YfiwsA+guZk7R5BBaNRDIYfm3Utb1VVX9Gp6XleTtIoxPMrNjnSVX\n",
       "FE/kcBUTolLU/fbff8NSSeHookJXBe48qRulqtDV3xj93iZIDb7oEpIK2/8kbejWP2Rxp1ECarRP\n",
       "RMfhpQIyIlT31FXynKzCVqvOdjVkvNps6M+fBrHxzUtvFe3nIvgL5CciSsARAlhDjKnJ+fPPP2/i\n",
       "f2pw7T2Some5BCpWo6wvvvgiolAK25m9fbtoflOgrhs5i64FVW9TdNxeNfRGWRvavr0MHnroopxd\n",
       "mfef4yMJCzEHw2UGLM/ifs8Jzc6y0kzfrKozcDXcGixVHwZUEOvsuHDX3bgxcMdziUh7rAw+G30Y\n",
       "Mx9Nx1ePH0Kz61Nw3sBElN/xD+wFC+F65w3po/iUJLFi92Z26ieZqrzGXLp+/J6I5DISqbqJiGPN\n",
       "fawZnjQwSKiKJbYZ1oD+Hrek0c+FqtkQtrNF2vIK3U2yrVbbV0htJTV4oevOkFmuCNr/flWhm4FD\n",
       "+2zUaJeIej2T0V7VygE8UGssda/AVSNJSc5losr16QP5+xX/g9w/FzJWluJAoHC/jCEm01piHP4m\n",
       "31BVQ69du9asB2vgblU7d+nSBWqOHxNF13/9zH517FsWZeKEq1KKfBleNfT875dJUHK9fTVztTlL\n",
       "Ijt/g0+M8I1s0gCRmMa1SQWw/ghOl/qi1NOkqjBuJDX4ojOCS+9Ngn1PIua9fhi/vJyGh8a7UKn8\n",
       "vzi3301o6ztlCL75mP+EBvfwujrpxWjc6hUyP16InyQy13jRfqQYgy4VyCqYa0gc66IUS5ZYjFvS\n",
       "bNHEdPWoyIvSXtE/u1mamCN1ntStUjtJvUaqLokEL3TVB1eFrc501W6jfH0XarZPEoFbEpUaF9ze\n",
       "evkZUIGrfvi//+6Jk65hXM+UJea77z4SN10Gx1JEAmnic6mW1poVKRaLIwSwgtMUVd3ERyWW3ZA8\n",
       "MaDr5voeZKTb2LUq0ySuz3WwEDtUDb1g3m6cflmDXJ/+RX6IPsQkEb7Py89ylVzHI7ND/xhOz6o6\n",
       "I1EV9WNSRb8M+RUyx8rLa3BFH8Q6X5+MU65NwrKnV2Hus2Xx0buNMWZeJnpcnICzzzZG4sE1Godn\n",
       "e+NW9zCaCc/68QpRWS8Vh6cpEp9LLa6bZgljFcq1UC8oCiZlobolPT4Kro4dQhpzO/CB/CenqtDV\n",
       "B70dUnWmO0Cq6HDFZC2Y4rXP8KiWM3Bwp9uolTWeebt7ShZoPHXwIKCBljQM64IFou+RX1VVKWsg\n",
       "mltugQSSCGY0sX2upiP88ccf8fHHH2dfiHqyqIHtd999h6+//ho33nhj9rJipiyCly5d2lghP/jg\n",
       "gxI5b4zxhtEkDr5FvWMayZLHBvFhrFKlimlHNaebNm0yEzQN/vHoo4+iWbNmvh9z/LYjBHAk3JAi\n",
       "cifWyaNvg/q5utr2RwYqHS8mUAXEfM71wTx2uDufit8+3I17Tj66r8Uy55koM85hYvmsmXycUTQo\n",
       "Qb+sulhev5V6nVSdnagwbi+14FmFnJRd1F+y6ZrROP7dy/HX1kQsmrgfm95LwnVvpKBlR5eEvTsS\n",
       "fCT7Q8V4w7t+7M3stE0CgCwTky5dR/4ck3FAbK49KuvmRmVdV8y6CjLqslqIoDu+MewPP8oz53J4\n",
       "kC+XZtXwb6NUFbqDpDaXGpyWTANh6Cx3w6zDxmpZXYRUtdxWBG7lJgV/H9U6WRR2RuiqF4KYsYgR\n",
       "JMRl0qNilgGxCAF18QllOkIVvlMlms+gQYNMBC3Vnqrb6ngJQH/hhRfKA9ACUenHjk7fEQI4XtyQ\n",
       "bDHAcnU/Tb52R5eton4Oxfqvt9XlCaVRq9xKlJWkAyjnmUmukp/Ul8XS+U7x862dZQHtPd85rzo7\n",
       "0TpUqs5cpkr1VVE3kPcFF/f3M0VmJyCpR2eTQFFdlVa8m456U1NxYEsyXn0pBfsOWejVC5wV+8FZ\n",
       "VZTQXU3taY7ukhmkqqyXS1Ura32vgUB0/fg4+V8Fsj87AuOWNOhG2KKStjQdVljLOml9klRZUMVV\n",
       "UvXhLbhihK6olTfM9FgtV2qagDrdknDS/0ogpVzBs+a//vIIXJngQYzvTbrOc86BxDA42nAquFHF\n",
       "79kqfMORjlCFrc5+VfhqUY3M4MGDjReNalBjqThCAMeNG5K4IPnLA6yh5k66VdWvoSnz52/DyU32\n",
       "ZVtDr5MfpedF6XyzzH2zc/qGpqswteJVReuPqK7ffSf1YamlpepacTep/lXUtvyBqRuM6z5ZTMsq\n",
       "agjT4gZJ9iCZlpa9mY5yM8Uq/JQU/LYuGVdfbRl14HnncVbs5ZXzVa2mOwpzrVo0XrgK45Xiiaxr\n",
       "yBux1hhy1ZNvl9b65rURSonboAlT+errsO6V6C9hKbqE8ZbUBVIvlXq/1CSpgRV1FVLV8kaZ6W6S\n",
       "Ga9qomp3E6Erf48FJUI5fNizlquqZRW6amqgs1wJWyCqTlF0FyyzAxtkCM7SZa5/PjsUgpZyN1G7\n",
       "axJKVQv8YnVGGs50hDrL9ZcbuG9fNQaNreIIARwPbki2WG1rXr6c7jBqNZn6rxuVAlBrBfrVWbDA\n",
       "jYE968Ke9hE2X9kVo+RHqb+El1TL2NgrNWTIV2bVP+X1G6n6g9tSqgpjVVFbUj3F/nSaMXQzKlDv\n",
       "zqzXkpVcaPO/kibd4ZL/O4jjFqbirMuTsbpksqioLGg+ZP0b1ZlxMbfbykHu6LeaWaedBF7RqkXX\n",
       "jP8V39k1Esl6reR6Wij+tPqqsavrXVsfdcd8iwZrG6J+vdPF/tr/g9PRPQTybrec9J5U0XZI4hCP\n",
       "2lkkYABFhe5msVpW9fKmnzxCt5YIkdY3Fyx09c9YVcsqcDWDmHpaqdAVBw3kEwE2gFGF+RRbIrlv\n",
       "k//CUJRnMCWc6Qh1uVLzCaunTDwURwjguHBDMrPfurm+Ezr7rdpC4rwmHBEiuU4KYkdq6n6sW5eC\n",
       "5j3bYOe0cXh87xBcWm5o9o9lEE058FRdF9aaJlVV1B9JVRW1/AJKHGr7QCNo1CvX80/L+7xLmZou\n",
       "iTxUCpp5avFr6bD+TsV9/VNwqH4SJk+28OabHtW0LBkZl5C8W+IRJaBRunRZQ6umXPSWTRowM+kv\n",
       "rD5zNz5b/QTW1ntTInSVklly4+xZss6Wg0vBeECa1/suD1o4Q+oEqQULdXUXUlchVS+r0NU4yzrT\n",
       "bXVjCZSQiFT5FbVa9s5yNW/7ySdL3Dd59tCQrmXL5vdJ5xzTsJathoZOy1aUKwtnOkK1dj7uuOOg\n",
       "OYU1hrRv0X1169ZFUlLgGhLfz0dj2xECOB7ckDQHsFW3Tq57GCr/X2/DCxeulhyb+5FZwsYo8Yk9\n",
       "f3w6utwmP1SOuJPeURb1VWc6+kOvVVXUc6ROBLb/AuvWmrDqqVqyltT8L7p8/QSc+lgp7Fjmyb98\n",
       "aN8hXHlpMgYOSMLUzywMHOixVr3kEuCEE6Q5lqAIHCMiWWunZt2ROXqo6CkuxvbuTcxMWWfLX8sa\n",
       "/1p5dYmRXUNZVT5WAomocWB12dLXo/2TVX36mdTJUtV3/BWp+fsvq9DdPD8D61Xo/ihCV4JiGKEr\n",
       "gqhExfyFruQ0kYhrkChykqVMuu4gXUoGPJMvW62YWQpPINzpCFVe6Cz7XI3Yk1U0bsTJ8uT00Ucf\n",
       "4YwzzvDudvyrY75qXjeknMTUTF0X1lNSUnIectb7PCJg6Qy4YZ9SIRvrggW75YtWQvLnzEHFasej\n",
       "y55SsN/7ANZVV4SsD2c1pCrqS2DvOB3u+6+RhAsXyPspUp+S2k6qzo71Ne/vR+UTEtHthUQTp1cT\n",
       "YuyWh5bOYrh12YQkfP+jC4895vHN1GQtXbs6a21PLiwmismWNPIxVD11Eqol18wOoamD3yExxFUQ\n",
       "bxQ1tqZjnCtr/lskuOZ+WW3W/Mg1JIJadbFjqCZ+4jXEf7e6RKqqIuLZnwhVl6EtEmt5/cwMbPrh\n",
       "MCo0TECt02SmKxmFChK6W7eKQnumR/Du3OnJzHXvvZJEq2lMII7JQYYjHeEjjzwiKVbbmKrRE7dL\n",
       "AKRhw4ZJApp2MSV89YY6QgCrb5cCVN8xjf88duxY4/OlA5w8ebLZ/+GHH+pbxxYTAzpHInh16Nc1\n",
       "4AoNEkI27vnzk3HBxTXxgqhmbxSjK9etVeG+fjDs07vBOuaYkPXjtIbsiW/C6tIXVjm1gNWia4Sy\n",
       "UGcibz0nr2oReYpUnT2Vlpq7qCW61r3rMrFy8iF8f30qdG3wlceSsXhjgjw9S0DNsRIhWFTT6sok\n",
       "QZ9YAiSgWZK0mofBa7z3yPNhnelqbWMelo40mC7+4VslReYWeXjaLCEi18ta83zMkvfvmPjl+hmd\n",
       "LdeQ2XL5pY1gfVcPaTMrokrtUqjbPVkM78pA1/3zK7JciFmzPDNdVTXrA9bQoWJh0FKtZ/P7JI+F\n",
       "gkA40hE2bNjQ+Ao//vjjxthLraDPEXN09SGOteIIAawhKGtK5na1bnv33XdN9KtZ8lfTWGMRxkpZ\n",
       "vyGXBbRmRql+UugQb9y4GRpLdnWdPyX+VR1ZaTvBaOmsKy6H+/kXkfD0k7FCK6hx2vLLqcngXW9P\n",
       "8vlcBdk+J6umyusvUudJfVlqM6mnSu0oNff6Ybm6CWh7Z0nJPZwilqOHMeuOAzKTcuGefslIrZgE\n",
       "fda7VAxue/YELroI4t4gzbAUSMAaPBDugUM8bkkSyS7vskgOTTQ6i9q4V5TYHncS3/MzkIHVazfj\n",
       "r+/2YZMYyW8smYq0M+Zj67hfsbXGP8bYS6O8lZMV5nJyj8vKqxqA6XbSgQpYtbACFs0uh7V/VkDn\n",
       "1uUk0INnbVe811jCSODOO+/M1XqrVq1wWE3Ks8qAAQO8m9mvTz/9NLT6lntFPaHVX+ktT8haU1NT\n",
       "zZqv4zWk/i5C9oVOOuTRQSC7NdazhqIsKaapapB1gizI9ZRfv3nz9AfV+cU+cAAQ4yirWrWjBqvq\n",
       "51D6/y5YsAEntT0gK2vv4n8+qQWtiy6A/fW3UP9YV/duR40hHt641c2l32V+Y2x7rq+MvJyeVQ/K\n",
       "669SxXfEGPA0kledGauquorUI0XdUDQ8aBOxlF7//WEsnpCOzEPpuEzcma7vn4RPp1vi8O9ZF1T1\n",
       "tAZbYMmbgH7/rT69Yev9Gubvh3OFfHiS1O1Sr5WqD0lHlwNb3Vg34zDWf3dYtEflUfeMKjjl8aQs\n",
       "LVJbOfkqY5W9R7yVtaZir/zbje2HduP3f/bgzzV/Y4OsB1ZpsBuVBu7GsVX3YqkrVWbX5WXh4ojA\n",
       "VsGtAlurxs5OkJ/CJGjKkmTzqvG2dY/u0/89r8nZZx096tC9U4vzI/8yJZd3Zugaj8OWYinohj/8\n",
       "jhDAKnB19ttZTQ+lXHbZZSbE2NkSW1AjngRaXn31VTOD9nf+6tWrjdWcOmyHvBgLaH8GWJlo3j90\n",
       "lokLFqSh4iV/mMAImoLOWyxxSHTdeRvckjDdbt8OloR2i5diL10G/CWZd4Y/EOAlKe8uWVWfusWX\n",
       "xAjjt+S1llSZ1qK71GSpnqKRter1SDZ1q0QtWyXq6e2vH0TH3sm4ZGwyZv3qwhNPSMyTcoB3nZgz\n",
       "KS+9o1/1Qcl9VX/Yy1fAaqrfURUgP0v9SupaqTIVNUE0jqiO0/e6xWVI1nVF6OrygC4LaHCMqif6\n",
       "/3lSq2z1XS5zuDJ+EcWHGlJp5ELNJDRIbu2p4mrm62amAk19m1VQ78sS2J7tPbISvd5EAjuEQ5Jj\n",
       "6pDMuzXXlL47sq379Kjnf8/+I8JZBbRHeKuQTpR/HrGZKb1q9fyzs97pMc+255h327vfkmvz/tMY\n",
       "3ppogyV+Cfj/hkf4elUoXiy/bOq8fc8995jedfF+3759Zl+gDtY33HADtPor2vbmzZv9HSryPmMB\n",
       "nSMJw971mXAJXXWJCUVRY7RFi5NRa/gc8fp9KleT+mNnnXqKJ1fr/27OdTwWd6hDv3vsq7BkTdEq\n",
       "lGtBklx2h6yqgkD9jNXS9v+knilVFnplhdG3VGuZCK2aXH3VlHTMHJSKmpLj9aXhKVixPUFsEoBx\n",
       "48Qs7BJpQZqQtNUsPgQsielu3TAA7jeeQcKTOsP9WmptqWdJ1QdsvSeABo7Y9EMG1n17CNskT3ZN\n",
       "SemnmggNB5mfy57mz1X/XFmhwty5EJcUeZwSoSt/3nm6DKlAU59lraEquQW0R4CruNUwntqn5t/W\n",
       "/70C1bud3/6c4+tuHhZz7uX7eCHgCAHco0cP/CM5u3SW6puMYfjw4WI00dUcczTwtWtzr/+GOPzk\n",
       "smVrkHzODDRNail+lo384rAGXgf3NQNgn9UDVpPj/Z4TSzvtF8WoomIFuCTUYdFLgjSha41a1Y3p\n",
       "c6m3SlVO50k9WeqRUuYYF066uSROHFACq6cfwo8PHUCp6i7cIerptBqJmDLFwqRJkvtJzBTUsEeV\n",
       "N2GPxnhkeA7dEumIH+E683vY1X6Ee3l5uJrqup5qHiSgh7FgPox1MtPdJL66VZoniIo5yeTSVT/W\n",
       "vIouH2qygzlzPAEyxNVTErcA118fPeYeZbVqUeJH25QXf+4PHwFHCGCNbvKY+IK89dZb0KwXOvMp\n",
       "JSao9evXh2bS8LdoHz4kwbdsiwGWq2WLoz6o/r+qSgtV+WnhvzjU83tcJPle8yqah9gaOgjuZ56H\n",
       "69VXoKrpWC3u72bAnr/AXEfor6G6NHmdVFWHzpb6hlQxf0YvqT2kHvlRTSpl4fhLUtBYBO/GuRlY\n",
       "+eEhiTh0EBf1S8HQaxOx+B8XZksTr8ltadDAI4wlg6ZkbJFmik1RzdIXUr+VWkfq2aLh7wf7oceQ\n",
       "/kplbFkiyeslrd/G2YdRto5H6La+Kf+oVOqb+/PPHqGrrzrTVa4DBxav7EICkyWOCThCAMd8MoYc\n",
       "a8D6AKE/OG1uKxGyr86X7tlondJClHn1823TdboERfjiK9gfT4UaZ8VisSUckf3SK3CNfhaaAD58\n",
       "RWcwZ2bV5fKq0ZfekSpTWjMrlqlWVrFcFjQmrtadKzNlnThdomwdRMnKLpx1UgKuvDMRG9ySr/hX\n",
       "C2+IPK9d2yOMdXacwzbP22SMv3pmu5Dc054ECcrxWbgzamL7kkyTYWjzuhux7/Q1qN67HqqfnICm\n",
       "V5RBadEi5FUktasJA6kzXZ3xanAUFbo33QRUUKN3FhKIMwKOEMCxnIzBTk8Hdu4CfHxwd61yo2QV\n",
       "V4GBAQL9Lm1P3Y41TedgdNUJAX3EdfutcA+5GfZpXWDF2FRMLcrdD4yAdcuNsOrVC+h6Q3NSU2lG\n",
       "q9xLI1Tul1dVneo6sVpQHxEcGtC/wwMSAEUetHb95YZqO9Z8LoZbS9LQpp4I5HMTsaOEpEn8JwED\n",
       "37bMV0MFyWmnQdztpKmYLptk9F9J1dmuPqCchb3rO0nsZQmQIW532/7ch3J1XSJwE9Hq6Sao+Mwg\n",
       "JN46NpeHgHzQFHUg0DCQqkXQJPYtRJGkrETxleearvezfCWBWCfgCAEc08kY1P+3di2TEsv7ZfC4\n",
       "H+maY2jKhA2vod7eRqiTmP/s19ubdeyxsC48H25ZQ00YOdy7OyZeNcm7JZbcOpOPTlFDnX5SL5Uq\n",
       "kgGfShWrK5wrVVSr4r7iLRoAoFLjBFObXJYisz8b25dmGoFsz09H/b8z0UaScKRVTsTKPxJw44cJ\n",
       "qFzFMmvGKowdHdzfe5HmNUP+VxYqeNcifc9ZImyfkzCQFcxM15WQboyn6p2VjPbDEqHZqTylBNzr\n",
       "zoc9bgKsh4Zl7ZNsS/uOCN0//vCEA1VNwX33ifL/iPY/+/zivOEWx3/1dWUJHwFdAo1WcYQAjuVk\n",
       "DLYYYFl16xx1/3RG1Oh8VW8WvWiy9BlJX6Ffxp1BNabBOWw1yPpZ4ifniNAVVEMRPNn9/odGm2A9\n",
       "/FAEe82rK32AkqmYqWvkVa2nr5faXqoabeU2clN3Jq8VdfP+Yul70MY2cWvaIgZ5CWsPom66W2bN\n",
       "idj4fQLueScRKTUTjDA+/XQnCuODco0bpc5C5uHvsX1xWwkB2U8Ebl2xEBe1eqtE1GgrauUrk1H2\n",
       "2LwfNq3LLjFuSVtmLcf81KZmprt8uSc1pFqRPyS32tdlSDpk8SFQuXJl45bps4ubISawd+/eELcY\n",
       "eHOOEMAxnYxBZ8A+Atg7C+o0IjRov5TwAYd/aYkzOqv1buDFkojyxjd41DNwvdEKlsNjadu//wH7\n",
       "w4/gGj8GluOcbFXzoBbTA6R+I3WU1MpSW0ptkFVryOvRRS17a7ZPMlWPqL/r1t8yUVdUtccdOoAd\n",
       "62zsnJyIka9LeMwEUdvWtXCsROSq3chCHXmm03VkUWYgvDj06X+DzN7XIm3HFhzcsQ1pO3fj4E43\n",
       "0nfVlhl9c1Gt95FAGCWNWvmkWxKhiezzchXSGMuaUehITcaatS+izIC1aHGtJ8Tno49K5O4UJcJS\n",
       "EIEpXdc/8gAAOMxJREFUU6YUdAqPF5GAGvpGq4RGSoRg9HklYwhB02FtwsSAPuOIulQNUMrLOmBS\n",
       "aa8arvDdp0rYgE/TPkCl2TeizhXySxxksVqL4G1xIuxJEkd50MAgPx250+0dO+Ae+RhcD94PK98Q\n",
       "hpEbk/+eyshuNWw7X6pYCUnaeo+fq86QVU2ogloFsr56t49ImpRyIly7ak2S44DGCtd10/ZSd651\n",
       "Y9cmG/uWSoYfiR++Rtac92VYppaoYKF8dVF3H+tCtToWajQQAX28hYo1LWNnkFw27+/a4f22CFa3\n",
       "CNQMqVtle7sI2T0iZPfL6yHZ55JaGYf3V0WJyjXEqCwFJSqVNVUNzBqel4BOwyXQRI7vs2pFjwjZ\n",
       "I9uilRfvBU9t0sST9rFevUooeffDsrSwE64uMu1lIQESMAQcI4Dzuh8rV67EAbHU0FmyI8u69YBP\n",
       "EI5Qhp+cjg9R+e8maN5If/gLV4xb0rXXw+5xBiz9ZXRYsSWygnv4I8ZiWx8YYqOowGuXVb0jVgG8\n",
       "Oquuktcvpa6TWk2qcvcVzNXlvSR7qOpCfVk31epb1F82fben7t9u49+/Jdftapk9r7exer4bv0+3\n",
       "ofuTM90om2ijZIJUSUpQrpqFynVsuDIPiFA9gPSdh+FKOiBCdYcI1O1Spc8qImArSxTl+jVlu7rs\n",
       "E8FbSdThEpbTXzkomuh/1h4RsLLiYgSvGk95Ba2+quGUvvq3VrZg33cX3DffBrtePViNj/PXFfeR\n",
       "QLEj4HgBrNmQ1kmqvwkTJjju5tiSJhGbtxy1gKfrv80leENRi4bOm4HpKD/tOpzcoWyhm7PkF9G6\n",
       "XgJ0PDsaCS+/UOh2wvVBe+x4CSdVDi4JYRjbRR+S1Bdcq7e4ZWOjVBXMOkvW4B/6mia1odR6UlUw\n",
       "q0DSP0Xdf1DUu2kiNFVwHpQkEWk4tr2ux+oxz3Hv9s6dFtavL4l1a8tiw6pKWPZPZWxdXQ0HDpZG\n",
       "emIyDqeUksCHlWHvbAz39hKy/uwyyTzEeFu2PVVnrN6qbuO67X3VvLhqn6KBL7zCVrLAme1gXass\n",
       "0aebJZEHR8D12jhYsZLpXqizkEC4CDhOAPtGwtKLfuCBB8J17UVvV9IoomaN7DXLw2k2dstMpUqz\n",
       "hCK3/RneRyd3N3z0wzF46Cb9kS58cfU6x/gGuz//Eq5z1ZLXGcU9cxbsH3+Ga8JYZwwo5KPQWWWd\n",
       "rHqaT+tq9OEVyktl+zOp6ldbMqvqA5xue191W6avR+0rJZG3SkgtKUnk9Tz1l9bzgvvuqSDWDFta\n",
       "9NX73iug1UBKhXIoioZKtZYt9yw3PPWEtBuihkMxOLZBAlEg4AgBrGbgI0aMyDMSVv/+/aOApuAu\n",
       "NQa0r/p52+8ZqCwGKgnJRfth0QDssyWG7rUr7hdXlTRJAlC+4MEUcIbrLknWcNtdsE/tBMsBAYxt\n",
       "0WrYL7wE1/NPx1XyiAJuQ9bhcvKq6vboq9xVBnqNvLyvgV1D4c5SbYx9x92wJ74B67prC9cIP0UC\n",
       "cUJAH9GjXjQS1tKlS/H5559DTcLV923Tpk1G7TxOIt+P1SzpTiwigK06YqqaVdTdJBTpBz/FexKL\n",
       "qSdW/HwYbdt6Wy/aqyU6REtiRNuviMo3ysWWkEfuBx+GdeNgWBq/kaXYEDCZu0Y8CPurb2D/9HOx\n",
       "uW5eKAn4I+AIAayRsMaPHy9RcFpA8zuqaqq8zNI6duyI0aNHY+rUqf7GHv19OWbAuv5b7aSiKRV2\n",
       "Sq7UH2T1t7cEgliwwI2TT64asuu0+l8D+7ffoS4/0SzuJ2XWKwZXrh60iI3mfYhW36qBcUmAGP0e\n",
       "2PKgzUICxZWAIwSwNxKWv5swffp0VHWoa4pJQ5jlA5y+x439W9wSFaloSKdKLOLuOAeu1CQxPkuR\n",
       "JPBqrBOaor7ArttuEYOsF2AMyELTbFCtuMXXF1u2wrp5aFCf48nxRUCzdVkD+puwoyaca3xdHq+G\n",
       "BAIiULTpWkBdFHxSLEbCstViZcNGsbGpYy5Q1c8aHUiD9he2bJc0eT/L6u9zkp1n4cLVohHYj0Q1\n",
       "RQ1hsTp2kMQ1kqzh3fdhXX1lCFsuuCl78RLY733gydQU4usquHee4TQCrvN6wb10GWx5ILTuv8dp\n",
       "w+N4SCDsBEL7617I4cZkJCxVnVWtAivZ48Op6ufqkhWnKOUTvC25ec5DGZQV9fNuUT+rdWvoi0sS\n",
       "HbivHwz79G7QuNGRKLaESHI//Chcw+51eLCNSNBgH14C1h3/g3uoaGU++RSu8/t4d/OVBIoFAUcI\n",
       "YCUdc5GwdP33KAMsCS94obqCFK5swSYskGTmOvvVMn9+Mi6+uFbhGivgUxptyrqyH9zPv4iEZ0YV\n",
       "cHbRD2cH2+jTG9bJ4kjKQgJZBPQB1vXoCE/2LgnQYTU7gWxIoNgQKNqCZbHBlPtCzfpvVgQsXfvN\n",
       "kBgJ5esVfgb8Md6SxG4XSCr4Mvj3382QAFGi3Q7f7FSzJWHXbri/n5n74kK8x371NUlzUwquq64I\n",
       "cctsLh4IWDVqwHXf3RIRbSTsXbvi4ZJ4DSQQEAEK4IAw+Tlp7brsJAwaz7d6m8IL300SDP8PiS18\n",
       "tokzrLPfDeJ+lO6n09DtMu4gd90O++WxsPfvD13DOVqyZ8+BPWceXA/cl+MI35LAEQJWu7awep8L\n",
       "94hHoBoTFhIoDgQogAt5lz0W0BKjT4pn/bfw2vyP8abYPV8kcY80khFk/fegrP8WPvykaSSA/4wl\n",
       "audTYU/4vwDODv4UWyKFuZ8bDdcjw2GJexkLCeRHwHXNVboWBaMxye9EHiOBOCFAAVzYG6lpCLNU\n",
       "0MYCupD+vxuxFktl/tsTfc1IMuXp/7ffSokAblDYkQX1OesGyRk8Zy7sFSuD+lxBJ9sSxd89TATv\n",
       "kBtgNWpU0Ok8TgKGgGbEUo2Je9ZsEiGBuCdQ+Glb3KPJ+wLtLVuAMqVhSaDcPWsykSgT19LVC/cs\n",
       "85HMfnvhEkiOGtPhsmVrQhZ+Mu8rOHLEKi3XIRGpMvtehASNyawz1VJiTCZrtuZVti2ZlQRb7Kee\n",
       "NakQXWf1DPajPL8YE1BNiTHKul3CVdavB0szQbCQQJwSoAAuzI31iYBVlPSDa/E3/sIyDMW92aOY\n",
       "P39byMJPZjdawIbr9O6AWkWLfzDSZe15v+Sa03xzujacJpl4NCVOKX3KKJ0lnOW1ZAlPDOccwtqc\n",
       "I/l97Y3/wjVmdAE98zAJ5CZgNWwI66YhRoOiiTr0QZeFBOKRAAVwIe6qLQZYVlYErK0SgKPumUmF\n",
       "aAWYIrPfPrgMyfLPWzT85A03hC78pLfdgl7zM5IyQUe8Atm8egS07bNthLUIXvz1twjnknCNfSk7\n",
       "S1RBffM4CeQk4DrzDAnSIZmTHh+FhEdG5DzM9yQQFwQogAtzG3UGLKH0bLeNrX9koO3dwatoV2Ol\n",
       "ZIb9C7fgwewRpKbuD3n4yezGi7ChFtNGNZ3DkKrwMb+KMBh+tNgQ0HCl9s2SxUujp11+abG5bl5o\n",
       "8SFQuIXL4sPH75V6fYB3rshE6RoupJQPHuNkCbjRF/2QJP+8JVzhJ73t85UEYomAJfkRXSMfgj15\n",
       "ikkiEktj51hJIBACwUuOQFqN93PWrjU+wIVNP6jrvpuwDt3E+ci3hDP8pG8/3CaBWCFgVakC10PD\n",
       "4H7kcdjbtsXKsDlOEgiIAAVwQJiOnKQxjZGUBKtcORgDrELEf56MSRJy4yokyD/fouEn27YNT/hJ\n",
       "3364TQKxRMBq1RLWpRfD/ZBEysrIiKWhc6wkkC8BCuB88fg5mBUBK/OQjZ3LM1GlRXDL6CuwGNuw\n",
       "GadK2gXfEonwk779cZsEYomASwQwqlWF/eKYWBo2x0oC+RKgAM4XT+6D3ghY25dkokKjBCSVDM4U\n",
       "SWe/F+NaP7Pf8IefzH013EMCsUPAde9dZi3Y/fU3sTNojpQE8iFAAZwPHL+HsnyAC6N+fgNj4JJ/\n",
       "7dAlV9ORCj+Zq2PuIIEYIaD+wK7HHob9ynjYf4u7GwsJxDgBCuAgb6AtBljqA6zxn6sFEX5yOiaL\n",
       "6dXvuA0jkCj/fIuGn/z991Jo06aB725ukwAJ5CBg1akD6zbJH/wsg7zkQMO3MUiAAjjYmyYxoA9X\n",
       "qYM9a92o0uxoI6q8mvoJM/E1PsE9eAKlJOFgzqLhJ489Ng3ly5fPeYjvSYAEchBwndYVOHwY9rwf\n",
       "chzhWxKILQIUwEHcL3vvXhOWcduGcqjSXHwUEwte/10miRZU9XwPHkclVPHb24IFWyX5gt9D3EkC\n",
       "JOCHgEuSiLgli5dt236OchcJxAYBCuBg7pNZ/62X5X50tBrZXzMbJNbVS3gUt+Ih1EI9f6eYffPn\n",
       "2+J+FPnwk3kOiAdIwOEENH8wKpSHTYMsh98pDi8/AhTA+dHJccxjAa3rv5kFrv/uEGejpzAMV+NG\n",
       "NEWLHC0deevU8JNHRsgtEnAmAdeggbD/7w3Yoo5mIYFYJEABHMxdEwOsg5UbIG2HGxWPyxvdAezH\n",
       "KNyHs3EhOuK0fHtg+Ml88fAgCeRJwDqhKdD4ONhTP8vzHB4gAScTyFuKOHnUURqbLQZYW/c3RLXW\n",
       "ibAs/+u/GcjAs6JyPhFtJNDkhQWOlOEnC0TEE0ggTwKugdfBfuc92GlpeZ7DAyTgVAIUwMHcGYmC\n",
       "tXVrdVTPx/3oFbF0Lo8KEmhySEAte8JPHhvQuTyJBEjgaAJW3bqwOrSH/f6HRx/gOxKIAQIUwAHe\n",
       "JPOEvS8VW/8qKeu//t2P3sF47MYuEb33BtTqkfCTjP8cEDCeRAJ+CFj9rzZqaHv3bj9HuYsEnEuA\n",
       "AjjQeyMW0KmVT4A7EyhXO7cA/gofS5iNX3AHRh6VYjC/5ufP3yjWz+n5ncJjJEACBRCwqleH1eMM\n",
       "2G++U8CZPEwCziJAARzg/dAIWFutlqjeJrf70S+YA410da+YXpVGmQBbBBYsSBP/37IBn88TSYAE\n",
       "/BOwruwH+7sZsDdv9n8C95KAAwlQAAd6U2QGvPVAQ1n/PXr2uxJLMBEv4m48hsoI3JeX4ScDBc/z\n",
       "SKBgApZEkbMuPN+4JRV8Ns8gAWcQoAAO8D6oD/DWLdWO8v/dhPV4XmI734wHUAcNAmzJcxrDTwaF\n",
       "iyeTQIEErEsugj1/Aew1awo8lyeQgBMIUAAHeBd2LzmAlOolUaqKB9ku7MCTonS+GkPRDK0CbOXI\n",
       "aQw/eYQFt0ggFAQ0W5KqojVEJQsJxAIBCuAA7pJ96BC2riuHaqd41mvTcMAE2uiBvuiE7gG0kPsU\n",
       "hp/MzYR7SKCoBKw+vYHVa2AvWVrUpvh5Egg7AQrgQBCvF/Wz3Rw1Tk5Cpvx7DsNNeMleuCSQT+c6\n",
       "h+EncyHhDhIICQErUYLkXHcN3ONfC0l7bIQEwkmAAjgAupmr12N7WgOz/jtOIjyXEktnjfFc2MLw\n",
       "k4Ulx8+RQMEErDPPAFJTYf/8S8En8wwSiCIBCuAA4O/8eRfKSrCqj8u8LikWNovovQ+W/CtsYfjJ\n",
       "wpLj50igYAIaJlZDVLpffb3gk3kGCUSRAAVwAPC3LMrAji7rMB/zcKekF0yWf0UpDD9ZFHr8LAkU\n",
       "TMDq1BEQoyy3+AazkIBTCVAAB3Bnlmx1Y/4ZM8Xm+UlRPhctcAbDTwYAnKeQQAgIuAZdD/v1SbAz\n",
       "JXwdCwk4kAAFcAA3JeHcNDzYabiE2agRwNn5n8Lwk/nz4VESCBUBq8WJQL26sD+bHqom2Q4JhJQA\n",
       "BXAAOC8Zdh0qJlYK4MyCT2H4yYIZ8QwSCBUBk67wrXdgHzwYqibZDgmEjEDuwMYhazp+GnrrrZ/x\n",
       "f/9XusgXZNtAZmYFPPhg4yK3xQZIgAQKJmA1aACrzUmwJ0+BddUVBX+AZ5BABAlQAAcA+6qrOuCq\n",
       "qwI4kaeQAAk4joDxCx58E2wJ0mGVK+e48XFAxZcAVdDF997zykmgWBCwataE1b0b7HfeKxbXy4uM\n",
       "HQIUwLFzrzhSEiCBQhKwrr4C9pdfw962rZAt8GMkEHoCFMChZ8oWSYAEHEbAqlgRGifanvimw0bG\n",
       "4RRnAhTAxfnu89pJoBgRsC67BPaPP8GW2O4sJOAEAhTATrgLHAMJkEDYCVilS8O6/FK4X5sY9r7Y\n",
       "AQkEQoACOBBKPIcESCAuCFjn9wGWr4C9clVcXA8vIrYJUADH9v3j6EmABIIgYCUnw7r2aklXOCGI\n",
       "T/FUEggPAQrg8HBlqyRAAg4lYJ3dE9i+A/aChQ4dIYdVXAhQABeXO83rJAESMAQslwuu6/szXSG/\n",
       "D1EnQAEc9VvAAZAACUSagNWlMyB5g92zZke6a/ZHAtkEKICzUXCDBEigOBFwDR4Ie8L/MV1hcbrp\n",
       "DrtWCmCH3RAOhwRIIDIErNatgNq1YH/xVWQ6ZC8kkIMABXAOIHxLAiRQfAi4rrjcZEoqPlfMK3US\n",
       "AQpgJ90NjoUESCCiBKwTmwOJibB/+z2i/bIzElACFMD8HpAACRRrAlbf8+Ce+lmxZsCLjw4BCuDo\n",
       "cGevJEACDiFgnXk6sHAR7J07HTIiDqO4EKAALi53mtdJAiTgl4BVsiSsM8+A/dl0v8e5kwTCRYAC\n",
       "OFxk2S4JkEDMELD69II97XPYbnfMjJkDjX0CFMCxfw95BSRAAkUkYNWrB9Q6Fpj3QxFb4sdJIHAC\n",
       "FMCBs+KZJEACcUzA6tMb7k+nxfEV8tKcRoAC2Gl3hOMhARKICgGraxdg9RrYGzdGpX92WvwIUAAX\n",
       "v3vOKyYBEvBDwEpIgNXrHNh0SfJDh7vCQYACOBxU2SYJkEBMErB6nwv72xmw09NjcvwcdGwRoACO\n",
       "rfvF0ZIACYSRgFWtGtC8GewZM8PYC5smAQ8BCmB+E0iABEjAh4BLjLFsGmP5EOFmuAg4VgBv27YN\n",
       "GRkZ4bputksCJEACfglY7doC+/bBXrHS73HuJIFQEXCEAL766quxYsUKc00rV67Eueeei9q1a6NG\n",
       "jRq46aabcPjw4VBdL9shARIggQIJqEsSjbEKxMQTikjAEQJ4yZIl2L9/v7mUJ554Ak2aNMGmTZvw\n",
       "448/Yu3atdB9LCRAAiQQKQLW2T1hS1AOW2bCLCQQLgKOEMC+F/f1119jxIgRqFSpEho3boxHH30U\n",
       "s2bN8j2F2yRAAiQQVgJWuXKwTj0F9hdfhbUfNl68CThGAOts97///kOHDh2wY8eO7LuyePFitG7d\n",
       "Ovs9N0iABEggEgSMGpoJGiKButj2keiEK7/iiiswbdo0PPLII9izZw9KlCiB9957z8yEx4wZgxkz\n",
       "ZjhhmBwDCZBAMSJgNW0ClCoFe8FCWCe3KUZXzkuNFAFHCOA77rgDWrX8+++/2Lt3r9k+66yzcOed\n",
       "d6JMmTLmPf8jARIggUgSsPqeB7dExkqgAI4k9mLTV54qaJ15Pv3009i8eXNEYVSoUAFabds26mgK\n",
       "34jiZ2ckQAI+BKwzugN/LoYtbpEsJBBqAnkK4M6dO2PVqlVo3rw5evfujY8//hiHDh0Kdf+mvczM\n",
       "TNx9992oVauWme3Wr18fFStWRIsWLYxqOiydslESIAESKICAlZICq8cZsLkWXAApHi4MgTwFsAq/\n",
       "CRMmYKNkBrnqqqvwxhtvoEGDBtCZcajLfffdBw288e233+KHH35Aly5doNbQr7/+unFBmjx5cqi7\n",
       "ZHskQAIkEBAB67xesD//ErZMFFhIIJQE8hTA3k50dqozX31NTEw01XssVK/Tp0/HCy+8gKZNm6JT\n",
       "p0645ZZbjKBv27atEcLvv/9+qLpiOyRAAiQQFAGrTh2gfj3Ys+cE9TmeTAIFEchTAC9cuBBXXnml\n",
       "UQtPmTIFN9xwA/7++28MGjSooDaDPt6sWTPMnHkk+PnPP/9sImFpQ+vWrUP58uWDbpMfIAESIIFQ\n",
       "EXDpLJhq6FDhZDtZBPK0gp43bx5OOukkPPfcc6imGULCWP73v/+ZdebRo0cjXdKAqaBftGgRPv/8\n",
       "cwwePBgfffRRGHtn0yRAAiRQAAEJyoEXx8CWCYFVt24BJ/MwCQRGIE8BrCEgq1evHnbhq8M85ZRT\n",
       "TOjJzz77TNzuSqFnz55ISkoyVQ3BSpYsGdjV8CwSIAESCAMBKyEBJlfw1Gmwbr0pDD2wyeJIIE8V\n",
       "dF15ytMoVLr2G4miwTcuueQS9OrVywhe7VMfACh8I0GffZAACRREwAjgb7+DffBgQafyOAkERCDP\n",
       "GbAKPjWOKicxUTUzUYI8AWrR2amqpUNZnn322XwzHmlyhr59+4ayS7ZFAiRAAkERsCpXBtqcBPub\n",
       "76CW0SwkUFQCeQpgjULVsmXLXO1X1i9hiIuqu19++WVcc801KF26dK7Wq1atmmsfd5AACZBApAm4\n",
       "JE2he8w4gAI40ujjsr88BbCqoLVGorz00ktwu92mFsXP+Pfff8fSpUv9Dnn58uVhcaHy2xl3kgAJ\n",
       "xCUB6yRJDCOGovbSZbCanRCX18iLihyBPNeAIzcET0+jRo0yMaBTU1ML3fXhw4eRlpbmt2ZkZJjw\n",
       "loVunB8kARIgASGg8aFtiQ/NQgJFJZDnDLioDQf7eY35/M477wT7saPO18AdWv0VnRlHOq61v3Fw\n",
       "HwmQQGwTsM7qAfekN2FL5jaLMQpi+2ZGefSOmQF7OehMddeuXd63fCUBEiABRxGwZLJgde1iwlM6\n",
       "amAcTMwRcIQA1lCX999/v7G2Tk5ORqVKlYwxliaCmDhxYsxB5YBJgATim4BRQ0tkLM3axkIChSXg\n",
       "CBX0zTffbNTDGvlKEz6oJbTmBF62bBk0StZB8bsbMmRIYa+RnyMBEiCBkBKwjmsEmSkAP/8CdOwQ\n",
       "0rbZWPEh4IgZ8DfffIPx48eb9IO6FmxZlon/3LFjR2h4yqlTpxafO8IrJQESiAkCVp9ecH86LSbG\n",
       "ykE6k4AjBLCqmn2TMfii0mAg9AP2JcJtEiABJxCwup0GLF8Be/NmJwyHY4hBAo5QQY8cORL9+vXD\n",
       "888/j4YNG5roW3vEwlB9d9Uo64svvohBtBwyCZBAPBOwxF5FLaI1S5J1w/XxfKm8tjARcIQAbt26\n",
       "NX777Tf89NNP0KhY6i6ks15d9+3SpYtRSYfp+tksCZAACRSagKWRsYbeArv/NbAkgQwLCQRDwBEC\n",
       "WAesyRi6deuWa+wrV67EgQMHoEKahQRIgAScRMA65hig8XGwZ82GdeYZThoaxxIDBByxBpwfp8mT\n",
       "J+OVV17J7xQeIwESIIGoEdD40Pan06PWPzuOXQKOmQHnhfCBBx7I6xD3kwAJkED0Cagb0uiXYf/z\n",
       "DyyxYWEhgUAJOG4GzEhYgd46nkcCJOAEApbLBZMrmLNgJ9yOmBqDIwQwI2HF1HeGgyUBEshBwOp1\n",
       "DuzvZ8IWexUWEgiUgCMEsEbC0mQJGglLI2BpasJNmzZhwoQJGDduHMaOHRvo9fA8EiABEog4Aati\n",
       "RVgd2sP+5ruI980OY5eAIwQwI2HF7heIIycBEvAQsC7oC3vyFOIggYAJOEIAMxJWwPeLJ5IACTiU\n",
       "gHVCU0BC6dq//OrQEXJYTiPgCCtoRsJy2teC4yEBEigMAeui8+Ge8gkS2rcrzMf5mWJGwBECmJGw\n",
       "itm3jpdLAnFKQOND22Nfhb1hA6zateP0KnlZoSLgCAGsF5NXJKxQXSjbIQESIIFwE7ASE2Gd1wv2\n",
       "x5/CuvWmcHfH9mOcgCPWgGOcIYdPAiRAAtkEjAD+9ju6JGUT4UZeBCiA8yLD/SRAAiRQCAJWpUoe\n",
       "l6QvvirEp/mR4kSAArg43W1eKwmQQEQIGJekTz6FbdsR6Y+dxCYBCuDYvG8cNQmQgIMJGJekcuWA\n",
       "n39x8Cg5tGgToACO9h1g/yRAAnFJwLqgD9wfT43La+NFhYYABXBoOLIVEiABEjiKgLokYfUa2OvX\n",
       "H7Wfb0jAS4AC2EuCryRAAiQQQgLGJan3ucYlKYTNsqk4IkABHEc3k5dCAiTgLALGJWnG97D373fW\n",
       "wDgaRxCgAHbEbeAgSIAE4pEAXZLi8a6G7poogEPHki2RAAmQQC4C1kUXiBp6Kl2ScpHhDgpgfgdI\n",
       "gARIIIwErOMbA5IvGD/9HMZe2HQsEqAAjsW7xjGTAAnEFAHrwr4mS1JMDZqDDTsBCuCwI2YHJEAC\n",
       "xZ2AdVpXYM1auiQV9y9CjuunAM4BhG9JgARIINQErIQEWH3Pg/3RJ6Fumu3FMAEK4Bi+eRw6CZBA\n",
       "7BAwLknfz4Sdmho7g+ZIw0qAAjiseNk4CZAACXgIWBUqwDqlE+zPvyQSEjAEKID5RSABEiCBCBFg\n",
       "lqQIgY6RbiiAY+RGcZgkQAKxT8C4JFWuDPz4U+xfDK+gyAQogIuMkA2QAAmQQOAEjEsSsyQFDiyO\n",
       "z6QAjuOby0sjARJwHgGraxdg3XrYa9c6b3AcUUQJUABHFDc7IwESKO4EjEtSn97MklTcvwhy/RTA\n",
       "/BKQAAmQQIQJWJqmcOYsuiRFmLvTuqMAdtod4XhIgATingBdkuL+Fgd0gRTAAWHiSSRAAiQQWgLZ\n",
       "Lklud2gbZmsxQ4ACOGZuFQdKAiQQTwSsxscBVavSJSmebmqQ10IBHCQwnk4CJEACoSJgXdCHWZJC\n",
       "BTMG26EAjsGbxiGTAAnEBwGrS2dgw0bYa9bExwXxKoIiQAEcFC6eTAIkQAKhI5CdJWnK1NA1ypZi\n",
       "hgAFcMzcKg6UBEggHgkYl6TZc2Dv2xePl8dryocABXA+cHiIBEiABMJNwCpfHtapp8Ce/kW4u2L7\n",
       "DiNAAeywG8LhkAAJFD8CGh/anvoZbLokFaubTwFcrG43L5YESMCJBKxGjYDq1YF5PzhxeBxTmAhQ\n",
       "AIcJLJslARIggWAIGJckZkkKBlnMn0sBHPO3kBdAAiQQDwSszqcC/26CvXp1PFwOryEAAhTAAUDi\n",
       "KSRAAiQQbgJ0SQo3Yee1TwHsvHvCEZEACRRTAlavc2DPmQt7795iSqB4XTYFcPG637xaEiABBxMw\n",
       "LkmiiqZLkoNvUgiHRgEcQphsigRIgASKSkCNseiSVFSKsfF5CuDYuE8cJQmQQDEhYFySatYA5s4r\n",
       "JldcfC+TArj43nteOQmQgEMJuC66AO73PnTo6DisUBGgAA4VSbZDAiRAAiEiYFySSqTAPe3zELXI\n",
       "ZpxIgALYiXeFYyIBEij2BFw3D4U98Q3YqanFnkW8AqAAjtc7y+siARKIaQJWw4aeJA1vvBXT18HB\n",
       "502AAjhvNjxCAiRAAlElYA24Fva3M2CvXx/VcbDz8BCgAA4PV7ZKAiRAAkUmYPyCr+wH95hxRW6L\n",
       "DTiPAAWw8+4JR0QCJEAC2QSs8/sA/22G/cuv2fu4ER8EKIDj4z7yKkiABOKUgMaIdt00BO6Xx8LO\n",
       "zIzTqyyel0UBXDzvO6+aBEgghghY7doCtY6FPeWTGBo1h1oQAQrgggjxOAmQAAk4gIDOgu133oO9\n",
       "Z48DRsMhhIIABXAoKLINEiABEggzAevYY2Gd1QP2axPD3BObjxQBCuBIkWY/JEACJFBEAtbVV8L+\n",
       "4UfYf/9dxJb4cScQoAB2wl34//buBV6rOd/j+HctaZc2KUoqRnV0pGSKhkpRLjUSOS4duTQZQ8UO\n",
       "0ygSKpIQ6bal0+CcU9rykmtuL5dxUA6ny4wtQhNe0kVSSbqtddZ/Nc+edu2y93NZl2d91uv1vJ7b\n",
       "Wv////f+r71/z7r9F21AAAEEKiFg1aol6/f95EycUom5mSXqAiTgqPcQ7UMAAQR2EbDO7i79tFnO\n",
       "W3/Z5VNexlGABBzHXqPNCCCQWAHLsmQPulZu8SNyt25NrEM+BE4CzodeJAYEEEiUgHVcK1ktj5U7\n",
       "i1sWxrnjScBx7j3ajgACiRWw+v9B7lNPy/3uu8QaxD1wEnDce5D2I4BAIgWs+vVlhql0p/5HIuPP\n",
       "h6BJwPnQi8SAAAKJFLD6/LvcxX+VW/pxIuOPe9Ak4Lj3IO1HAIHEClgFBbKuuUrOhMmJNYhz4CTg\n",
       "OPcebUcAgcQL2Kd3lfbfX87LryTeIm4AJOC49RjtRQABBHYT8C9LmvZnuZs37/YNb6MsQAKOcu/Q\n",
       "NgQQQKASAlbzo2Wd9Bu5/zWjEnMzS1QEIpeAt2/frnXr1kXFh3YggAACsRCw/nCl3BdfkrtiRSza\n",
       "SyOlSCTgrd5oLsOGDdMRRxyh6tWrq27duqrljXnaqlUrPfood/5gRUUAAQR+ScCqU0fWJb3lTJn6\n",
       "S7PyfUQEIpGAi4qKVFpaqhdffFEbNmyQ4zha4f2KmzZtmh5++GEVFxdHhItmIIAAAtEVsC78N+nv\n",
       "y+X+34LoNpKWlQlEIgG/+uqrmjp1qlq3bq3CwkKZsU5r166t9u3b66GHHtIzzzxT1mBeIIAAAghU\n",
       "LGBVqyZ74DVyJhXL9TZkmKItEIkEbHY1v/nmmxVKvfDCC6pXr16F3/EhAggggEB5AatjB+mQunKf\n",
       "fb78F7yLnEC1KLRo1KhR6tOnjx588EE1a9ZMBx10kNavX68lS5bInJQ1d+7cKDSTNiCAAAKxELCv\n",
       "GyDnxpvkntFV1oEHxqLNSWxkJBJwmzZttHDhQs2bN0/Lly/XypUr/a3eAQMGqHPnzv4u6SR2DjEj\n",
       "gAAC6QhYRx0lq8tpcv/8uKzrr0unCJYJQCASCdjEWaNGDXXp0kWbNm3yT8Rq0KABiTeAFYAqEEAg\n",
       "PwWsflfIucK7NOm8c2QSMlP0BCJxDHjHjh0aMmSIGjdu7J+E1aRJE9XxTqk3J2U9/zzHMaK32tAi\n",
       "BBCIuoDZ9Wz1vVzOxClRb2pi2xeJBHzLLbdozZo1eu211/Tuu+/6u51feeUVTZ8+XWPGjNHs2bMT\n",
       "20EEjgACCKQrYJ17jvT9OrnvvpduESyXQ4FIJGBzpvP48ePVokULdejQQYMGDdLkyZPVrl07PwnP\n",
       "mjUrhwQUjQACCOSngGXbsq/tL+ehSXLXrs3PIGMcVSQScMuWLctdhjR//nx/VCzj+uWXX/rXBMfY\n",
       "mKYjgAACoQlYJ54g64rL5Fw/WO7GjaG1g4r3FIjESVg33HCDevbs6Q+6sWXLFn3++edasGCBPzJW\n",
       "//799dRTT+3Zcj5BAAEEEKiUgH3O2XK80QWdYbfLfuBeWd7tC5nCF4hEAu7YsaM/9ORzzz2nAw44\n",
       "QN26dfNub7m//1i6dKlq1qwZvhQtQAABBGIsYF99lZyRd8m95z5Ztw2LcST50/RI7II2nOYypIsv\n",
       "vljnnHOOn3jNZ4cddhjJ10AwIYAAAlkQsIYNlbt6jZxp07NQGkVkKhCZBJxpICyPAAIIILBvAbPr\n",
       "2R49Uu5f/keOd+tCpnAFIrELety4cdq2bdteJY455hj16tVrr9/zBQIIIIBA5QQsb6hf+9675Vx3\n",
       "g9z69WS1O7FyCzJX1gUikYDN8JOTJk1S3759/fsA7x4lN2PYXYT3CCCAQPoCVsOGsu8a6Z2UdZvs\n",
       "cWNleWPwMwUvEIkEPHHiRP8ewOY+wOb633SnRx55RDNnzqxw8S+++ELNmzev8Ds+RAABBJImYB3b\n",
       "QvYfr5dz83DZxRNlHXpo0ghCjzcSCdgojB07Vtdcc41+/PFHfzjKdGSuvvpqmUdFU0lJidatW1fR\n",
       "V3yGAAIIJFLA6txJ1rcr5Qy9Vfak8bK44iTQ9SAyJ2EVFhZqxowZ/tnQJMpA1wEqQwCBBAvYvS+S\n",
       "1fJYOSPulOuNy88UnEAkEvDWrVs1bNgwf/Sr6tWrq27duv6x4FatWunRRx8NToOaEEAAgQQKWDcU\n",
       "ybv9nNzxExMYfXghRyIBFxUVqbS01B/5asOGDf7x4BXeqC3Tpk3Tww8/rOLi4vCEqBkBBBDIcwF/\n",
       "zOgRt8n95FM5Mxl7P6jujkQCfvXVVzV16lT/9oNmV7Tl/RKrXbu22rdv7w9P+cwzzwTlQT0IIIBA\n",
       "IgUsbzAke+xouc8+L+eNNxNpEHTQkUjAZlfzm29W3OHmTklchhT0akF9CCCQRAHLO/xn3+MNVzlh\n",
       "sty/fZREgkBjjsRZ0KNGjVKfPn304IMPqpl3PdpB3oXi69ev15IlS7R9+3bNnTs3UBQqQwABBJIq\n",
       "YDVpItsbK9q5Y5TsCQ/Iatw4qRQ5jzsSCbhNmzZauHCh5s2bJzMox8qVK/2t3gEDBqhz587+Lumc\n",
       "S1ABAggggIAvYJ3QVtbVv5czZNjOa4S9Q4JM2ReIRAI2YZmbMXTp0iX7EVIiAggggECVBezu3eSY\n",
       "a4Rv8UbLGn+/LO8KFabsCkTiGPC+Qvr000/9reN9zcN3CCCAAALZF7D79ZXV8HA5o+/JfuGUqMgn\n",
       "4NmzZ2vKlCl0FQIIIIBACALWzTfJOylHTvHUEGrP7yojsws6xWxOutq4caPq1KnjfzR8+PDUVzwj\n",
       "gAACCAQsYFWrtvPGDQMHyTE3cTivZ8AtyN/qIrEFzEhY+buCERkCCMRfwPLGZzC3MHT/87/lzpsf\n",
       "/4AiEkEkEjAjYUVkbaAZCCCAwF4ErAYNZN99p5z7HuAa4b0YVfXjSCRgRsKqarcxPwIIIBC8gPWv\n",
       "zWWPvF3ObSPkflQafAPyrMZIJGBGwsqztYpwEEAgbwWs41rtHKhj+B1yP12at3EGEVgkTsJiJKwg\n",
       "upo6EEAAgewImIE6bO/saOdm7z7C48bKato0OwUnrJRIJGBGwkrYWke4CCAQewHr5JNk//F6OX+6\n",
       "eedAHUceGfuYgg4gEgnYBM1IWEF3PfUhgAACmQlYnU6RtWWLnMFDZT80zhu0o2FmBSZs6UgcA06Y\n",
       "OeEigAACeSNgn3G6rCt/J+fGm+SuWpU3cQURCAk4CGXqQAABBPJYwP5tN1mX9N6ZhNeuzeNIsxsa\n",
       "CTi7npSGAAIIJFLA7nWuLG+ULH9L+IcfEmlQ1aBJwFUVY34EEEAAgQoF7N4XyTqjq5w/DpHrDSnM\n",
       "tG8BEvC+ffgWAQQQQKAKAvYVl8k6+Tf+2dHupk1VWDJ5s5KAk9fnRIwAAgjkVMC++ipZx7WUM/RW\n",
       "uZs357SuOBdOAo5z79F2BBBAIKIC9nUDZR31KznDbpO7dWtEWxlus0jA4fpTOwIIIJC3AvafbpRV\n",
       "r54cM2zltm15G2e6gZGA05VjOQQQQACBXxSwvCErrVq15Iy8S+6OHb84f5JmIAEnqbeJFQEEEAhY\n",
       "wLJtWcNvkRxH7uh75HrPTDsFSMCsCQgggAACORWw9ttP9ihvN7R3aZI79v6c1hWnwknAceot2ooA\n",
       "AgjEVMCqVk326FH+cJXOuPExjSK7zSYBZ9eT0hBAAAEE9iJgVa8ue4x3LHjZ3+VMmrKXuZLzMQk4\n",
       "OX1NpAgggEDoAlbNmrLv944Ff/Sxdgzxjg0neCIBJ7jzCR0BBBAIQyCVhLXmOzkls8NoQiTqJAFH\n",
       "ohtoBAIIIJAsAauwcOeW8Jxn5bz8SrKC/0e0JOBEdjtBI4AAAuELWIccInvcWLmPTJf73rzwGxRw\n",
       "C0jAAYNTHQIIIIDAPwWsRo1k3zNazn0PyP3r3/75RQJekYAT0MmEiAACCERZwGp+tOw7hsu5faTc\n",
       "L76IclOz2jYScFY5KQwBBBBAIB0B69fHyx58g5whw+R++206RcRuGRJw7LqMBiOAAAL5KWB1OkXW\n",
       "lb+TM3io3O+/z88gd4mKBLwLBi8RQAABBMIVsHv8VtbZ3XduCW/aFG5jclw7CTjHwBSPAAIIIFA1\n",
       "AfuyPrJ+3Trv7yVMAq7aesHcCCCAAAIBCNjXDZRVv/7O2xjm6R2USMABrEhUgQACCCBQdQFzL2Ft\n",
       "2ybXu0QpHycScD72KjEhgAACeSDg38bwzhFyv/paztRpeRBR+RBIwOU9eIcAAgggECEBq6BA9tjR\n",
       "cuf/b96NG00CjtCKRlMQQAABBPYUyNdxo0nAe/Y1nyCAAAIIREwgH8eNJgFHbCWjOQgggAACFQv4\n",
       "40aPvVvOvePyYtxoEnDF/cynCCCAAAIRFLCO/hfZI27Li3GjScARXMFoEgIIIIDA3gXyZdxoEvDe\n",
       "+5hvEEAAAQQiKpAP40aTgCO6ctEsBBBAAIF9C8R93Ohq+w6PbxFAAAEEEIiugBk32qlbV/rkU+mE\n",
       "ttFtaAUtIwFXgMJHCCCAAALxEbC9uyfFcWIXdBx7jTYjgAACCMRegAQc+y4kAAQQQACBOAqQgOPY\n",
       "a7QZAQQQQCD2AiTg2HchASCAAAIIxFGABBzHXqPNCCCAAAKxFyABx74LCQABBBBAII4CJOA49hpt\n",
       "RgABBBCIvQAJOPZdSAAIIIAAAnEUIAHHsddoMwIIIIBA7AVIwLHvQgJAAAEEEIijAAk4jr1GmxFA\n",
       "AAEEYi9gud4U+ygqEcCiRYvUo0cPtWnTphJzM0smAu+8845s25ZlWZkUw7JpCPz888+qVq2a/0hj\n",
       "cRbJQGD79u3asWOHCgoKMiiFRdMRSKWxDh06VHnxZcuW6bXXXlOjRo2qvGymCyQmAWcKxfKVF+jZ\n",
       "s6eeeOIJFRYWVn4h5syKwKhRo9SpUyd16dIlK+VRSOUF5s6dq9LSUt10002VX4g5syKwevVqFRUV\n",
       "qaSkJCvlBVUIu6CDkqYeBBBAAAEEdhEgAe+CwUsEEEAAAQSCEiABByVNPQgggAACCOwiQALeBYOX\n",
       "CCCAAAIIBCVAAg5KmnoQQAABBBDYRYAEvAsGLxFAAAEEEAhKgMuQgpJOUD2rVq1S/fr1uQ44hD7/\n",
       "4YcfVKNGDf8RQvWJrnLz5s3aunWrateunWiHMIJ3HEffffed/38njPrTrZMEnK4cyyGAAAIIIJCB\n",
       "ALugM8BjUQQQQAABBNIVIAGnK8dyCCCAAAIIZCBAAs4Aj0URQAABBBBIV4AEnK4cyyGAAAIIIJCB\n",
       "AAk4AzwWRQABBBBAIF0BEnC6ciyHAAIIIIBABgIk4AzwWBQBBBBAAIF0BUjA6cqxHAIRETA3Izc3\n",
       "gmcKR2Dbtm3hVEytsRcgAce+C6MTwIcffqgjjzyy3OObb76JTgPzsCVmBKCLL75Y9913X7noxowZ\n",
       "o9atW6tJkyYyr5lyI/DEE0+offv25QofOXJkub+Bc889t9z3vMlM4OOPP9Yll1yi448/XqeffrpK\n",
       "SkrKCnzrrbd0yimn+Ov9+eefr3Xr1pV9F8kX3q9nJgSyIlBcXOxeeeWV7qZNm8oeXoLIStkUsqeA\n",
       "94PH9f7ZuHXq1HG9JFs2w5NPPul27NjR9YaldL/99lvX+0flzp07t+x7XmQu8P3337vXXnutW69e\n",
       "Pbdt27blCuzatav7wgsvlP0NeENUlvueN5kJnHnmme7jjz/uF+L9wHe9YW/dlStXumvWrHEPP/xw\n",
       "d/Hixa43JKh74403uv369cusshwvzRZwJH8WxbNRixYt0kknnaTVq1fL+2PQAQccwHjQOexK75+Q\n",
       "Bg0a5G8N7FrNyy+/rMsuu8wfk7hBgwb+93PmzNl1Fl5nKPD666/767fpg90nLwHo5JNP1meffabt\n",
       "27czLvfuQBm8N3t8Bg4cWLbON2zYUAceeKAWLFggsweuRYsW/p6f/fffX0VFRXr66aczqC33i5KA\n",
       "c2+cmBpMAr7//vt11lln6aijjtLQoUMTE3sYgU6YMEEXXXTRHlV/9dVX8rYEyj43SdjcIIMpewIX\n",
       "Xnih7r33XtWsWbNcoV9//bU2bNigU089VT169NARRxyhN954o9w8vElfwLZt9erVSybBmsn8EDK7\n",
       "mc1hgN3X+8MOO0zr16/Xli1b0q8wx0uSgHMMnKTiTzjhBE2fPl1Lly71f5FOnDjR3xJOkkEUYl27\n",
       "dq1q1apV1hSzJ8I7LFD2nhe5EzB3ROrbt6/eeecdffnllxo8eDDH4HPEbf7PXH755Zo0aZIOPvhg\n",
       "7b7ep34c/fTTTzlqQebFkoAzN6SEfwhMnjxZnTp18t+1adNG3nHIyO8CysfOO/TQQ/2tsFRsZovM\n",
       "7Kpjyr1A8+bNNW3aND8h7Lfffv7u0rfffpsfolmm/+STT3Taaafp9ttvL9sdvft6v3HjRn/3v3eO\n",
       "RJZrz15xJODsWSa6pJ9//lnm7E/znJrML0/vJJXUW54DEmjcuLG/9ZWqbvny5f6u0NR7nnMnYA7D\n",
       "PPbYY2UVmN2f1atX949Tln3Ii4wEli1bpjPOOEO33nqr+vfvX1aWWe/Nup6a4rDek4BTvcVzRgLm\n",
       "JvDmWJfZBW2m999/XwsXLvSPB2dUMAtXWcBclmSSwIoVK/x/SLNmzZK5JIMp9wLmB6c5Mc4cjzTX\n",
       "ZpvdoyZZmL8PpuwImN3Ol156qb/l652NLvPwznqWd/a5THI2x4XND59x48bpggsuyE6lOSqFBJwj\n",
       "2CQWa643nTlzpsxuuO7du/vJuLCwMIkUocbcrVs3mePxLVu29E9OMf+sTjzxxFDblJTKGzVqpBEj\n",
       "RvhJt2nTpnrppZf2uEY7KRa5iPODDz7Qe++9558Ad8ghhyj1MNdjFxQU+D94zElazZo1kzkhzmwl\n",
       "R3myzGVOUW4gbYufgPlFak6KMGcsMoUnYI79mn9K5sEUrID5t2r+DkyCYApWwFz6ZY7/RvnYb0qE\n",
       "BJyS4BkBBBBAAIEABdhECRCbqhBAAAEEEEgJkIBTEjwjgAACCCAQoAAJOEBsqkIAAQQQQCAlQAJO\n",
       "SfCMAAIIIIBAgAIk4ACxqQoBBBBAAIGUAAk4JcEzAggggAACAQqQgAPEpioEEEAAAQRSAiTglATP\n",
       "CCCAAAIIBChAAg4Qm6oQQAABBBBICZCAUxI8I4AAAgggEKAACThAbKpCAAEEEEAgJUACTknwjAAC\n",
       "CCCAQIACJOAAsakKAQQQQACBlAAJOCXBMwIIIIAAAgEKkIADxKYqBBBAAAEEUgIk4JQEzwgggAAC\n",
       "CAQoQAIOEJuqEEAAAQQQSAmQgFMSPCOAAAIIIBCgAAk4QGyqQgABBBBAICVAAk5J8IwAAggggECA\n",
       "AiTgALGpCoGwBebMmaNWrVqpadOmmjBhgs4///ywm0T9CCRWoFpiIydwBBImsGzZMl111VWaMWOG\n",
       "n4B79+6dMAHCRSBaAmwBR6s/aA0CORN4/fXXdeyxx6p79+5q3ry5+vXrJ9d1c1YfBSOAwL4FSMD7\n",
       "9uFbBPJGYPny5Wrbtm1ZPO3bty97zQsEEAhegAQcvDk1IhCKQMeOHVVaWlpWt9klzYQAAuEJkIDD\n",
       "s6dmBAIV6Nq1qxYtWqQlS5Zoy5YtKikpCbR+KkMAgfICJODyHrxDIG8FatSooZEjR6pdu3Zq1qyZ\n",
       "fvzxx7yNlcAQiIOA5Z2EwVkYcegp2ohAlgTM1q95LF68WIMGDdLChQuzVDLFIIBAVQS4DKkqWsyL\n",
       "QB4IFBQUyDyYEEAgXAG2gMP1p3YEQhNYtWqV5s+fr/POOy+0NlAxAkkWIAEnufeJHQEEEEAgNAFO\n",
       "wgqNnooRQAABBJIsQAJOcu8TOwIIIIBAaAIk4NDoqRgBBBBAIMkCJOAk9z6xI4AAAgiEJkACDo2e\n",
       "ihFAAAEEkixAAk5y7xM7AggggEBoAiTg0OipGAEEEEAgyQIk4CT3PrEjgAACCIQmQAIOjZ6KEUAA\n",
       "AQSSLEACTnLvEzsCCCCAQGgCJODQ6KkYAQQQQCDJAiTgJPc+sSOAAAIIhCZAAg6NnooRQAABBJIs\n",
       "QAJOcu8TOwIIIIBAaAL/D9++2K4TacfOAAAAAElFTkSuQmCC\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%%R\n",
    "plot_rv((as.numeric(tqBAC$BID)+as.numeric(tqBAC$OFR))/2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "(c) Which of these estimators do you recommend and why?  What sub-sampling frequency do you recommend based on these pictures?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### <font color='Blue'>Solution:\n",
    "\n",
    "<font color='blue'>\n",
    "I recommend KRVTH, because it is the smoothest, robustest and converges fastest.\n",
    "\n",
    "I recommend 13, KRVTH stays stable after $q \\approx 13$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## The Epps effect"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2. (14 points) \n",
    "For this assignment, use the *tqBAC* and  *tqC* datasets from *tq.rData*, the function *getSymbols* from the *quantmod* package, and the function *aggregatets* from the * highfrequency* package."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "also installing the dependency ‘TTR’\n",
       "\n",
       "trying URL 'http://lib.stat.cmu.edu/R/CRAN/src/contrib/TTR_0.22-0.tar.gz'\n",
       "Content type 'application/x-gzip' length 302852 bytes (295 KB)\n",
       "opened URL\n",
       "==================================================\n",
       "downloaded 295 KB\n",
       "\n",
       "trying URL 'http://lib.stat.cmu.edu/R/CRAN/src/contrib/quantmod_0.4-4.tar.gz'\n",
       "Content type 'application/x-gzip' length 133890 bytes (130 KB)\n",
       "opened URL\n",
       "==================================================\n",
       "downloaded 130 KB\n",
       "\n",
       "\n",
       "The downloaded source packages are in\n",
       "\t‘/private/var/folders/ry/6kkpl_ys3vl4z09tb97h1wdw0000gn/T/RtmpS9Pl8d/downloaded_packages’\n",
       "Loading required package: TTR\n",
       "Version 0.4-0 included new data defaults. See ?getSymbols.\n",
       "\n",
       "Attaching package: ‘quantmod’\n",
       "\n",
       "The following objects are masked from ‘package:highfrequency’:\n",
       "\n",
       "    getPrice, has.Qty\n",
       "\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%%R\n",
    "load('tq.rData')\n",
    "library(highfrequency)\n",
    "install.packages('quantmod')\n",
    "library(quantmod)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "(a) Write a function to aggregate a *tq* object (such as *tqBAC*) to the nearest $k$ seconds. <br>\n",
    "(Hint: Use the function *aggregatets(.)*)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### <font color='Blue'>Solution:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "%%R\n",
    "aggregate_tq <- function(tq, k){\n",
    "    return (aggregatets(tq, k=k, on=\"seconds\"))\n",
    "}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "(b) Write a function to compute the correlation between two high-frequency log return series (in *tq* format) where the underlying prices have been aggregated to the nearest $k$ seconds."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### <font color='Blue'>Solution:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "%%R\n",
    "corr_tq <- function(tq1, tq2){\n",
    "    return (cor(tq1, tq2))\n",
    "}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "(c) Plot the correlation between BAC and C returns where these returns are sampled every $k$ seconds, with $ k  \\in \\{2,3,4,. .., 599,600\\} $.  Use a kernel smoothing function such as *ksmooth* to smooth your results.  Make sure the aesthetics are good with nice labels etc."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### <font color='Blue'>Solution:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAAeAAAAHgCAYAAAB91L6VAAAD8GlDQ1BJQ0MgUHJvZmlsZQAAOI2N\n",
       "Vd1v21QUP4lvXKQWP6Cxjg4Vi69VU1u5GxqtxgZJk6XpQhq5zdgqpMl1bhpT1za2021Vn/YCbwz4\n",
       "A4CyBx6QeEIaDMT2su0BtElTQRXVJKQ9dNpAaJP2gqpwrq9Tu13GuJGvfznndz7v0TVAx1ea45hJ\n",
       "GWDe8l01n5GPn5iWO1YhCc9BJ/RAp6Z7TrpcLgIuxoVH1sNfIcHeNwfa6/9zdVappwMknkJsVz19\n",
       "HvFpgJSpO64PIN5G+fAp30Hc8TziHS4miFhheJbjLMMzHB8POFPqKGKWi6TXtSriJcT9MzH5bAzz\n",
       "HIK1I08t6hq6zHpRdu2aYdJYuk9Q/881bzZa8Xrx6fLmJo/iu4/VXnfH1BB/rmu5ScQvI77m+Bkm\n",
       "fxXxvcZcJY14L0DymZp7pML5yTcW61PvIN6JuGr4halQvmjNlCa4bXJ5zj6qhpxrujeKPYMXEd+q\n",
       "00KR5yNAlWZzrF+Ie+uNsdC/MO4tTOZafhbroyXuR3Df08bLiHsQf+ja6gTPWVimZl7l/oUrjl8O\n",
       "cxDWLbNU5D6JRL2gxkDu16fGuC054OMhclsyXTOOFEL+kmMGs4i5kfNuQ62EnBuam8tzP+Q+tSqh\n",
       "z9SuqpZlvR1EfBiOJTSgYMMM7jpYsAEyqJCHDL4dcFFTAwNMlFDUUpQYiadhDmXteeWAw3HEmA2s\n",
       "15k1RmnP4RHuhBybdBOF7MfnICmSQ2SYjIBM3iRvkcMki9IRcnDTthyLz2Ld2fTzPjTQK+Mdg8y5\n",
       "nkZfFO+se9LQr3/09xZr+5GcaSufeAfAww60mAPx+q8u/bAr8rFCLrx7s+vqEkw8qb+p26n11Aru\n",
       "q6m1iJH6PbWGv1VIY25mkNE8PkaQhxfLIF7DZXx80HD/A3l2jLclYs061xNpWCfoB6WHJTjbH0mV\n",
       "35Q/lRXlC+W8cndbl9t2SfhU+Fb4UfhO+F74GWThknBZ+Em4InwjXIyd1ePnY/Psg3pb1TJNu15T\n",
       "MKWMtFt6ScpKL0ivSMXIn9QtDUlj0h7U7N48t3i8eC0GnMC91dX2sTivgloDTgUVeEGHLTizbf5D\n",
       "a9JLhkhh29QOs1luMcScmBXTIIt7xRFxSBxnuJWfuAd1I7jntkyd/pgKaIwVr3MgmDo2q8x6IdB5\n",
       "QH162mcX7ajtnHGN2bov71OU1+U0fqqoXLD0wX5ZM005UHmySz3qLtDqILDvIL+iH6jB9y2x83ok\n",
       "898GOPQX3lk3Itl0A+BrD6D7tUjWh3fis58BXDigN9yF8M5PJH4B8Gr79/F/XRm8m241mw/wvur4\n",
       "BGDj42bzn+Vmc+NL9L8GcMn8F1kAcXgSteGGAABAAElEQVR4AeydB7xTRfr3n8lFuvTeLx2lSlEQ\n",
       "aWLFgijqYkGwgcou2HZXWddFXRf/sojlVUTBigVlUQFXBLEgZQXpIFWa9I4CAjfzPs/cm5CcnJOb\n",
       "5CY3J8nv+XwuOWfOnCnfE/KcmXnmeZRmIQgIgAAIgAAIgEChEvAUam2oDARAAARAAARAwBCAAsYX\n",
       "AQRAAARAAASSQAAKOAnQUSUIgAAIgAAIQAHjOwACIAACIAACSSAABZwE6KgSBEAABEAABKCA8R0A\n",
       "ARAAARAAgSQQgAJOAnRUCQIgAAIgAAJQwPgOgAAIgAAIgEASCEABJwE6qgQBEAABEAABKGB8B0AA\n",
       "BEAABEAgCQSggJMAHVWCAAiAAAiAABQwvgMgAAIgAAIgkAQCUMBJgI4qQQAEQAAEQAAKGN8BEAAB\n",
       "EAABEEgCASjgJEBHlSAAAiAAAiAABYzvAAiAAAiAAAgkgQAUcBKgo0oQAAEQAAEQgALGdwAEQAAE\n",
       "QAAEkkAACjgJ0FElCIAACIAACEAB4zsAAiAAAiAAAkkgAAWcBOioEgRAAARAAASggPEdAAEQAAEQ\n",
       "AIEkEIACTgJ0VAkCIAACIAACUMD4DoAACIAACIBAEghAAScBOqoEARAAARAAAShgfAdAAARAAARA\n",
       "IAkEoICTAB1VggAIgAAIgAAUML4DIAACIAACIJAEAlDASYCOKkEABEAABEAAChjfARAAARAAARBI\n",
       "AgEo4CRAR5UgAAIgAAIgAAWM7wAIgAAIgAAIJIEAFHASoKNKEAABEAABEIACxncABEAABEAABJJA\n",
       "AAo4CdBRJQiAAAiAAAhAAeM7AAIgAAIgAAJJIAAFnAToqBIEQAAEQAAEoIDxHQABEAABEACBJBCA\n",
       "Ak4CdFQJAiAAAiAAAlDA+A6AAAiAAAiAQBIIQAEnATqqBAEQAAEQAAEoYHwHQAAEQAAEQCAJBKCA\n",
       "kwAdVYIACIAACIAAFDC+AyAAAiAAAiCQBAJQwEmAjipBAARAAARAAAoY3wEQAAEQAAEQSAIBKOAk\n",
       "QEeVIAACIAACIAAFjO8ACIAACIAACCSBABRwEqCjShAAARAAARCAAsZ3AARAAARAAASSQAAKOAnQ\n",
       "USUIgAAIgAAIQAHjOwACIAACIAACSSAABZwE6KgSBEAABEAABKCA8R0AARAAARAAgSQQgAJOAnRU\n",
       "CQIgAAIgAAJQwPgOgAAIgAAIgEASCEABJwE6qgQBEAABEACBIpmE4KOPPqJTp05lUpfRVxAAARAA\n",
       "gTAEqlSpQj169AiTI3GXlGZJXPHuKfnjjz+mUaNGUf/+/d3TKLQEBEAABEAgqQSef/55evfdd6l1\n",
       "69aF3o6MGQHLyPfWW2+lu+++u9Aho0IQAAEQAAF3Eli7di15vd6kNA5rwEnBjkpBAARAAAQynQAU\n",
       "cKZ/A9B/EAABEACBpBCAAk4KdlQKAiAAAiCQ6QSggDP9G4D+gwAIgAAIJIUAFHBSsKNSEAABEACB\n",
       "TCcABZzp3wD0HwRAAARAICkEoICTgh2VggAIgAAIZDoBKOBM/wag/yAAAiAAAkkhAAWcFOyoFARA\n",
       "AARAINMJQAFn+jcA/QcBEAABEEgKASjgpGBHpSAAAiDgHgJ6zx7SR464p0EZ0hIo4Ax50OgmCIAA\n",
       "CNgR0CdOkPf6m8j7pwfsLiMtgQSggBMIF0WDAAiAgOsJLFlK1KEd0cGDpPfvd31z06mBUMDp9DTR\n",
       "FxAAARCIkoD+ZTup6tWJGtQnWrc+yruRvSAEoIALQg/3ggAIgECqE9i2jahWTVKNGpJeuy7Ve5NS\n",
       "7YcCTqnHhcaCAAiAQHwJ6K3bSNWpnTsC3rI1voWjtLAEioS9iosgAAIgAALpTWDXbqKaNUjtP0De\n",
       "nbvSu68u6x0UsMseCJoDAiAAAoVKQAyvypYlKlqUaOfOQq060yuDAs70bwD6DwIgkLEEdE4O0bHj\n",
       "pEqXJl2qFFtCHyJJU1lZGcukMDuONeDCpI26QAAEQMBNBHjrEZXj0S+LUoqoUkWi3TwlDSkUAlDA\n",
       "hYIZlYAACICACwkcOMAKuNzphlWtQrRn7+lzHCWUABRwQvGicBAAARBwMQGecqbyAQqYlTGccRTe\n",
       "84ICLjzWqAkEQAAEXEVA8whYBYyAVfnyRAd4WhpSKASggAsFMyoBARAAARcSOMwBGAJHwHIs09KQ\n",
       "QiEABVwomFEJCIAACLiQgERAKlnydMMwAj7NohCOoIALATKqAAEQAAFXEvjtNyLeguQTxSNgmZaG\n",
       "FA4BKODC4YxaQAAEQMB9BH47SiT7f31SqZLZC+w7xWdiCUABJ5YvSgcBEAAB1xLQPAJWpQKmoM/k\n",
       "0TBGwIX2vKCACw01KgIBEACB+BIQBXpKFSfv1OmxFfzrr0FT0HTmmUSSBikUAlDAhYIZlYAACIBA\n",
       "MAGtdXBCwJn3X/9HOfc/FJBif+h99DHyjH2R9OsTSEtYwWjlV14DDpyCNgqY0yCFQgAKuFAwoxIQ\n",
       "AAEQOE3A+8EkyvGUIL1q9enEvCO9+ifSy1cQsYLW33wbct2XoI/y+u2adaRuu5XUpReT/vwL36XI\n",
       "P40R1uk1YOOOsiS3C6PgyBkWICcUcAHg4VYQAAEQiJaAPnmS9PsfUtaP88n71+GkZStQgOiFi0h1\n",
       "Oo9U23NIr1gZcCX4UP/vB6K2bUhxFCN11RWkeRpanzoVnCm/M1HAgSNgyV+mDNHhw/ndietxIAAF\n",
       "HAeIKAIEQAAEIibw0xoOelCJVJvWRGc1I73gf0G3GgV8fidS53YgvWRZ0LWgEx4pK75fRFWvTtS0\n",
       "SdgRc9C9vhOZgg7YhmSSZRr6CNaBfYgS+QkFnEi6KBsEQAAELAT03Hmkul5gUlWPbkTzFvhzyOiY\n",
       "1q43ypTq1iHastWEB/RnCDjQa9aSatLYn+K5rg/pd9/3n+d3YOrisIOqiCUqbRlWwBgB54cvLtdd\n",
       "q4CPHz9OJ+XLCAEBEACBNCKgV6wi1fxs0yMzzfzDQtJeb24PWalSdj1SxYubqWWqVpWV8Bb73q9j\n",
       "RZ03ApYMqn07oiqVyTsxQiUsa8jFioaUrXgEbJ0WD8mUl6D5d/pU+0506oIepI8dc8qGdAcCrlDA\n",
       "W/gLduutt9LChQtpz549dPvtt1O1atU4SlY5GjhwIJ04ccKh+UgGARAAgdQhYNZo12/IHeFys1WF\n",
       "CkQyfSzT0ix66TJSLXKVs5yrRg1Jb/xZDoNES8xediGpSpQISvcM/yvpyVNIr10XlG57Igoz0A2l\n",
       "L5PEB5ap6QhEvzKOPLz+rLp1Ie+fH3UcrUdQVEZmcYUCfuyxx6hOnTp09tln0wsvvECn2JBgxYoV\n",
       "tGzZMjrCBgpPPPFERj4cdBoEQCDNCGzYSFSnthnh+nqm2JDKGFRxgl62nBVwc98lolo1ibbabC/a\n",
       "tJnMFPXpnOZI8XquGtCfvG+9Y7licyoK2KLATS4efUe6F1j/uJjUTTdS1hOPE8ko/vu5NhUhyYmA\n",
       "KxTwt99+S6KES/CX4T//+Y85rlWrFjVo0MAo3++++86p/UgHARAAgZQhYNZtGzYIaq8xtlrwA5k1\n",
       "WdmW1LrV6es1axBt++X0ed6R3ryFVL26IemSYNaXWTHq/GYOjx23V8BiFR3BNiTjM5q9Zqn69U07\n",
       "1FW9yPvfGbZtQqI9AVco4MaNG9Nbb71lWtitWzeaPv20V5epU6dSo0aN7FuPVBAAARCIMwFRXN6P\n",
       "Jse51LziZI03wHBKUlWrlkT79pF+7wOzpiujWJ+o2rVJ242AJa1ePV+2oE9z/9lnEbESDitmBMyj\n",
       "XatI/eIjOj9ZuYpILLnzRHXvRrRkKenff/cl4TMfAq5QwC+99BKNGjWKOnbsSAcPHqQHH3yQ2rRp\n",
       "Q23btqWxY8fSiBEj8ukGLoMACIBAfAjo6f8lb99+lNP/9rivaWpe/1W8Xcgq6q7byfvUv8hzy03B\n",
       "l2rXItq+PTiNzzTbzSgZHTuIWTuWteZw4jQFLb6hZX9wPqLZQlvJFHmeqDPOIJ62JJJRPCQiAhb7\n",
       "84juiXsmmWpetWoVffnll7RmzRqzHlye41LKyLdXr15UpIgrmhn3fqNAEAAB9xEQBZy1bCF5x40n\n",
       "WryEqF3buDTSTAnz1LFYOVvF0/NC8qxh71cWUTId7PGQPnSIVFk2jvKJTEsHKD9fsv+Tp7n1t3P8\n",
       "p3YHYrVsNeKSfIoNs7wRKGCzNh24Xi33tmmVu44dMDK2qxtpuQRco9nEBdrFF19s/vBwQAAEQCAZ\n",
       "BIwLRvGpzNt7VOdOpL/nPbtxUsDkM8CSkWI0UpNHmb/wKDhPAZvtPjxFrCpXdixF8RS0/uQzx+vm\n",
       "wlEHK+gIp6Blatxz+aXBdWTXI/31t8FpOHMk4BoF7NRCGREf5f1qMiWdn7z66qs0ceJE22zr16+n\n",
       "+mwsMGjQINvrSAQBEAABWcOUdU3FDirEzaN3xD/jBkV8PPs8V0VTqKpRnfQvv5y+V6akw41+uXBV\n",
       "tSpPBbNPabZMVjyCthWnNeAIp6CJ2yQW3YEihmFiIAaJjIDrFfCkSZNo8+bNNG7cuHx7dNddd5H8\n",
       "2cmwYcNo586ddpeQBgIgAAKGgLFSbtQwl4ZY9+7da5xSiHOKgorZ49ulc/TFsAKm7Tv898naK4VZ\n",
       "//VnLF+O2LECkShjO3FcA+Zp73ymoI3FtozCA6fFpQ42GpO26pyc3JcYu3qR5ifg8Grkv17oB7IH\n",
       "+ACbtvtk+PDhESlfX358ggAIgECsBMSBhc+9o4kMJNbEYu0bD+EIR6pli+hLMoZYpxWwbEtSkpaf\n",
       "VK9GtCPMoKMAClheTKgiOxGxiHFraeoNaK8lD05PE3CFAhZPV4888gi/PNWmohzZowJ7hynFxgfN\n",
       "mzenCRMmnG4tjkAABEAgkQTEcrhxI38NSoyZxOVjAUUcbFDFimHXbZ2qULwGbEa9vgy89prfFLRk\n",
       "VexNUIeb9XPYB2y2Mcm1cLJ3nwkoYZulciWinbtsLyExmIArFPCQIUNo5cqVNG3aNPYBfpgdqnjZ\n",
       "8n67Gfm+8sor9PLLLwe3GmcgAAIgEGcCYmnMfm9JsaL0C09Hy9ahgooYJqkLzo+tGFlnDfAHrdkg\n",
       "S/YH5ysydb2LXVY6CftxJlnvtZOiZ4T17ax5aluJorURWX/W4eq1uSdTk1yhgGfMmGH2+7Zs2ZIj\n",
       "Y7ErNbaILstrC7IveMyYMTRlypRMfT7oNwiAQGER+HkTbxHKDqpNyWjYxhdzUKZ8TmQUqmd/Terq\n",
       "K/PJaX/ZjEh5ZlDv309a69z2ZNezzxyYyls5ad/+wJSgY7MNicu1FXFRKVPUTrKHp6AdFLAEhCDx\n",
       "VQ3Jl4ArFLBMNc+ePdu2seIJq3IYc3vbm5AIAiAAAlES0KyAVXa94LtqsLOL3Xti9u4kCtP7+JOk\n",
       "Bt0ZarAUXFP4s+x6RGJdLBbQHCzBbv+utQDFa7SaPWw5iihY8ftsJ7wXmLef2F3JTRM7HY5pbCtV\n",
       "q4QfedvelJmJrrCCFk9X/fr1o9GjRxv/z2XKlKFDPB20evVqE5gh0DVlZj4m9BoEQCDhBMS6uL5l\n",
       "BMyzcSQGT6L8AtaGI22LOPWgsmXIc8nFkd5im09G4nrValJindygvm2ekESJtLT/tEFryPXj7DLS\n",
       "LhiDZDQKOMwI+CBP12fXk5whImvP3j2zQtKREErAFQpY9vguXryY5s2bR5s2bTLbhWTUO3jwYOrS\n",
       "pYuZkg5tOlJAAARAIH4E9MaN5Ol6QUiBuXtbN5OZjg65Gj5BfzaNPAP7h88UyVV2X6ln8SwhTymL\n",
       "k42IRKyUw42AZQ24eDH7okrwyDjMCFizy2APh4u1Fdn+JEZakHwJuEIBSyuL81RI9+7d820wMoAA\n",
       "CIBAQghIiD+7CEPZ9dgIikfHUYqJ2ctroapD+yjvDM0uARv0cy+YiEmeF58LzWCXIsZkYdaAySjg\n",
       "MFPQ4daAZQTsqIB57TlgK6ld05CWS8AVa8B4GCAAAiCQTAIyoiP2fqXslAo7vQjaBmRpqDidsBM9\n",
       "dz5JqMF4iGKDKnXTH9gn9GFep86OqEjjzevM0qR5Z4mthFkDljVm4/LS9kZOFF68Fm0nipcQibcx\n",
       "afbpAAlPAAo4PB9cBQEQyAQCstXIbvTLfTcRf8QXs4PoZ0fTKVXcBEwIzCLB6uncgo9+fWWKFXWR\n",
       "OfbGqr48IZ/yQuE0GpURcEHWgO1eVnwNkGlottqGhCcABRyeD66CAAjESECzC9lUEc2BEpSTcVMt\n",
       "NsKS6EM2olesJP3TGvL8vzGkJ7zlz2G2C3EkJRPr159asAPltGUoXLFsAEY8arYVMcJytILmbUgO\n",
       "a8BaFDcbp6liDuvHUplsgTrAo2RIWAJQwGHx4CIIgEAsBDQHNcip14S8H0wyAQFiKaNQ75ERMHu9\n",
       "shMlSqrMmbZbesTDlWp3Dqk+vc1eX/909AYuj7fpyNRxUkV8NYuDEYuY0Igclcm427RcM6cyMnZQ\n",
       "wKY8h+lnf1EVuN8YAftxOB1AATuRQToIgEDMBLyP/YM8//mQ9Mf/CfLiFHOBCb7R+IBmS2NHEf/G\n",
       "4gLSIlr8O7fh6EkS8EBG0D8sNDn0D4tIndPakrvwTyVYgqwbh4hZ/w0zgpVtSE5GWEeOEHtMCiky\n",
       "MEG8iWkx1IKEJQAFHBYPLoIACERLwLh0lDB4V/YidenFudtnoi2kEPMbAyweram6dR1rVeyQQwdE\n",
       "JPJnXLWaqFlTc6q6dfX3Vcv08zlt/NmSdmCmoG0U4e9hpp+lseH2AR9mBcwzAmFFrouhFiQsASjg\n",
       "sHhwEQRAIFoCesH/OJYuT8uKVbFsn1m6PNoiCjc/r+NS87PD12lCAgYbYolrSLMWmjfNrHp0I+/r\n",
       "b7Ci5nwSQSkO24/CNyqCqw5T0GG3IEmx4iNa1nrtJIIRMPsStp36tisuk9OggDP56aPvIJAIAj/y\n",
       "6M+nfESxcTQhs+ZoU5fetYv093NtrhReknfmV6Q65xMoQeLvWkfAP28iyq7nb6j4bPbcOZByLuaR\n",
       "v4z+eY016SJrtXZTwRLtyMkAixst697aISawPvIrma1G4ToXzvgr3H0Zdg0KOMMeOLoLAokmIAZY\n",
       "qmVzU42xlJW1UZuQfpqnqXNad6CcoQ+Sd+L7iW6WbfnGUlvae174/bomJKAltq5m95RWy2nPXx8m\n",
       "z72DyDPoLtv6CjtRjMBs9wHL6LYkG1o5iRhhhVsD5v3F4SR37dlm6jvcTRl4DQo4Ax86ugwCiSIg\n",
       "Yero5MmgcHk+P8bWOvXX35C6pR9lfTGVNCvgsI4frDcX8Fz8Kp86v5ux1PY8OCw4BKFd2WKEtc1i\n",
       "hCXesThWr1U8g++2JiXvnOOqk6zZWkWUa5gRsNkf7BQTWKagz8xnDdhMQdsYf1nbkeHnUMAZ/gVA\n",
       "90EgngTEKpisvorPYiOlNWtDqjExcnv2ICVBA9hgSc+dF5InEQkytZrT9w/k+fujlPUbG1/lN/3M\n",
       "jTBTrhzZSIvyyRO9dSu/aPAeYTeLGEPZeMKSvbxme5VT28UXtNMI2Bhh8f7icOJk/BXungy8BgWc\n",
       "gQ8dXQaBhBFg4yNrsADVpLGJ5BNYp1kTXshbdc7vZJKNy8Z5CwKzJO5Y6mXrbM/FF5ESa99IRUa7\n",
       "gevA4pyjVugIONLiCiWfjFQDXhr8dcoUdL4jYPtoSPISokrzyDqciJcsu3rD3RPjNTGGO1WmEhvA\n",
       "TYixhOTdBgWcPPaoGQTSjoBe9ROpFrnrv77Oqdq1zSjMbE/yJYqbRg6xp2SKlEV1PJf0oh99VxP6\n",
       "aUberICjFXFJaSyc+UbzAiGKiEPvuVpEAf/KIQytko8RVu4UtL0CJjHOEn/PYcQ8V65X1vkTLXry\n",
       "FPI89yx5bh+Q6KriXj4UcNyRokAQSB8C4lIx554/kvf5l/LtlOa1X/p5k71HqbOaEbHLRp/o+f/z\n",
       "j34lzUxD86hJ20xV++6J16cxEuPtUVGLTDdLxCQRiQ/Me4PdLsbTFU8n619/DW6qjIBlmtlJZHQs\n",
       "rirthK2gzT5hu2uBaWKoVQijYM3fOeXgxSywOW48hgJ241NBm0DAJQTEUEqsZfWc70ni5YYVsXSu\n",
       "W4fsfBarli3IBCfIK0DPk0hB7YOKU+3bkubp4USKrNuKFydVpUr01YgCzvOGpbewBXQdHtmngsho\n",
       "1aoI85mCVkVyI9XaRjQSZZ7fFLRwkXpt1p/jjkxe7MJ5MYt7hfErEAo4fixREgikH4G164wzDdXx\n",
       "PNL/Wxi2fzJ6Vc3Y4MpGxF2jXrzUXNGiqNmRv6pTJyinOo+nob9PrCGWBE5QjRoG1RvpibTXH5ZQ\n",
       "RsCpooBlGtpqCZ2PAjZMnAyxjAIOvw3J3G/Wny0j70hhR5jPbLHisIcxvVBFWEcis0EBJ5IuygaB\n",
       "FCcgXqzEpaJZo2X3imFFRiK8rmsrMkLZu5ckSL3+ajapbl1Cs8m08C+/+IMe6N9/J++XM0PzBaTI\n",
       "FLn3//5NXi4zIpEpbjYKi0lE4bKXK1nXNHuAs+vFVEyh3ySW0NYRcH5rwNJIp73AsqbMswj5itRr\n",
       "Ewgi3/uiybBrN1HlytHc4aq8UMCuehxoDAi4jMCmTblxcmVkK+4Vw4iMbFUTBwUs4es4OL1+l/f7\n",
       "fjzFeIqyFmVcV3bvRvqzacbIyTtkGHkff5JybrzZmtV/rllB66XLSI95MaJ9xHott9FhlO4v1OHA\n",
       "OBWRdV+eFaBl7F5T1rVTQMwWKqtXq/zWgKVfNgrYhCLksIjyrPITqTdw21Z++WO6vnMnUbWqMd3q\n",
       "hpuggN3wFNAGEIiSgKxBmiACUd4XTXbj65iNccSiVTwbEe/XdYrxa6yCJWh9vXq2VSiPhxQ7vBBL\n",
       "Z3XNVaQcRi3qjgEkite4c+Q9wkW+/5pIRsL//cK2XFrG0YiuuZqM72H5Mc5PJExg/ez8cjlely1W\n",
       "EmiBeI3UqQ+ONyfrAj8/a0SkfPcBS1tli5bVECvS9V+5X4ywrFPfkh5H0TwCVlDAcSSKokAABMIS\n",
       "MJbJdRuTt2+/sPkKfFE8PYnhUZ6IpalZv/UlBH5u/DnXACvMyEhGTZ43X6dwnqLEn3LWlvWUJdtK\n",
       "rr/O1OD5y0OkP50WWJv/WHP4P5keN4pxRT4jdAmSwOuSUkesorpeQN5+/YMsuGMtq9DuE0VoZwXN\n",
       "L1dhRdaArSNnOc/bOhb2XrkoL22JNsIyI2CXbwULAwoj4DBwcAkEXElg/gJSf7rXTA0bz1MJaqRm\n",
       "RxNBIfrEp/MGe0tozQHtI9kKEtHUJfsvVq1b+XtlnHTs20fGgtmfyntxeU1ZRscSKtCEBHRom/8W\n",
       "eUko4HYVWQ/POsH7f//I/FNFjDHUaQ9eptmxrgFHuv4rlYgCttuDHEdueu8+jsUcg0V7HNtQkKKg\n",
       "gAtCD/eCQBIImGlcthhW7c6hRCpg4khFVLmSv4eKp261k5KTteICKjd/RTYHqnMn0t98F3yF/Tn7\n",
       "1mEVhwu0KujgzKyw5SUhu541OepziXIkU+opIzLityrCCNaAFa8Bh/jnNiPgCL2HyValRBth7dtP\n",
       "JF63UlRS6FuUooTRbBCIMwHjbUoMgGQtU0Z1BZAg71TWcsTCNHB0ISNgnyMKS16j3OrVtaTG71R1\n",
       "7cK+oucHFWi2FPn8TrOXKpI16DCihZX0IcNE8RR0iDEUzxwYI6twLIwRFjvsCBDxo51vKMK8/IpH\n",
       "3iH1BpTldChOQ8SwLiKRmMwVykeU1Y2ZoIDd+FTQJhBwIKBzcnK9TbECVtn1SLwAxSr6m28pp1xV\n",
       "0t9aRpZ5BcqWocD9leaYvSDpo0dDq5R2ZNcLTY9XiihaMTw7cMBfouY1X79FszjW2H+AjDcufw7L\n",
       "AY/ereEDLTnS81RGwNZtSPIMI1kDtgZkEC9YopgjEeOIwzL1HcF93v63mzCV+Tp+kbL4mYtxYKoK\n",
       "FHCqPjm0O+UIGOOpOwaRXrEy9rbLVC9bfRpPRWJxzOu0Um4s4n3h/5FnyiTyjnou17extRDrCFiu\n",
       "yyjXMgo21thsYCWxZxMlZouSOAPJC9hgXkRkO1DeliIzJczT0ORgCW22z7DyNn6pE9VIt5Yra8DW\n",
       "KWhRwGLlHE5E0VpftmQKOhIvWFKuGH9ZFX+4+nzX2ELeM+IxHgXzVq8wYp4pf/dlqjxVBQo4VZ8c\n",
       "2p1yBPRLLxOxovI+Ozrmtss0qqzFihglLM4O9uyJujzNDi9Yc5Pn6itzRxDi2ckqMrqwuGxU2Tzq\n",
       "5pFokMjotzC8QnViBfzdnNyqf2KnH/wyEPTjW6kikbw02Amv/zptkbLLnlZpdoqQtxcFsbPrsJmC\n",
       "tgRkMGvAvLYbicTgitK4vpTvU7u2+e47pxSffhaEUMCRfJGQBwTiQEBGb56H7zeKT8voLRYRI6jA\n",
       "dczqPOrbEcH+V0tdYtCkunc1qYo9UFmNucwe4FIlQx0uiKK1THtrHhErGY0nWMQdpjgDEfeDWizB\n",
       "2QgtUFRVnk53UMBiPJaR088CSBShKM48MYZVxYv5Tp0/jQI+Hnz9Nx45R7gNyWz3OnosuhmabduI\n",
       "atYgxS9XOp81fTp4iKgiv3SlsEABp/DDQ9NTh4Cx0JXpsgYNyAQdiDH0nnGBGOBIQlWvRnrHjqhB\n",
       "6G/nnA5EL+4jrS8Ee3iLj42zDMXBFkThBomcc3qiRQLIq/btSE+dTnrGzNPt91UsFttOswG8nk1n\n",
       "NfXlzKhPf2hA/v4ZkXXdSKZt7XxBy35ifjGLWGS6Oppp6N08myMzGWL8J1b44eTgQX654BmgFBYo\n",
       "4BR+eGh66hDQAYHqcwMT5ONX2alrMvoMnO5lBUw7w/9QSfi9oEhE8gMs7gTz9tqa0YZ1CloUWcAW\n",
       "JH9zZA3YktdEBsqu58+SyAPxpuUd+qCZRVDWCDg8AnaagpZAEKrWaaciiWyjK8sOVISRrP9yJ+y2\n",
       "IRkr6Ggcmche4CgUsObvssRYNuEped06nFGdePcyHtpcCTyyRkEBR8YJuUCgYAQ4UL1vzyrxlG9g\n",
       "bNxIC5bgBHSA3/pl2tknooBl1OAgEkA+p825lNO2Y64LRc6nP5ocPB0ro1fLqFbzCNjO1aKSuvkH\n",
       "1RjA+OqU6EbZ9XxnCf0UpZC1cwtlfTgxpB5xSahtRsDGSE1eXBK4TzmkMW5LCLSE5mnhfA2wpP0F\n",
       "XQOWMqReVpQRi8xUVKmcm11eAOXcSWSPcVmeXk9hgQJO4YeHpqcOAROqL895v1kb43U5J7/Kjr3a\n",
       "wq4hxfCIAxv4RLYGhZuC1uPfJM+nH1PWnK8o57KrzFqvnvAWB0O43FeE8fUsU3lBystpBCx31eVR\n",
       "sBg1sZh7ZDQtI51CEkcnGDJ1abcGLAZnfC1fo6NCan9SqpF1YNlCJCIjYJlezk8c14CjmIIWBclr\n",
       "9hFLoOW9WLXbPU9fYUYBF973zldtPD+hgONJE2WBgA0BY9kp07bZ9fxXje/i1TwqjkJEYSs2UAkS\n",
       "GS04jIBl5Gd8JZ/Xwfgu9rw9nnJatiPV7wa2pK4fVAzJj91WNoDxibGAzhuJ+NLyPsWYye8RS0bO\n",
       "AWvSlqyFeypr1jxyt4o4CQlkb72eEeeBltCRrgHLWq/MugSKWQPmdd0IRV7Mwjp7sZQjL3RiTCei\n",
       "2MOVZhekjiIj60J88XNsRwEuQAEXAB5uBYGICGz8mYg9NSkeKfpF1i9lWjpAJKLQqfMuIEcHBDIC\n",
       "Dlz/lXtlm5CN0jHFimEV/5j5ppI9F/WkrN1byXPHwIBacw9lfVR8P/tERtW++3xp/k+xwpYpXRbN\n",
       "LxHKKQawyVF4/4iRFp1RJNT7klhAu+UlofBwBNUU6JVKrKBVfnuA5W7JY12/FeUt+4ojFTGSsomI\n",
       "FOLi0leevPiVyxvViocrOXcQsYZXMMJyoINkEAABQ8C4aWzSOIiGGBCJK8VA8f59BFv2diLvW+8G\n",
       "Jp8+lhGqRQGLX2JxjGC2DZ3OaY70qtVkNVRyVKr8gkAyVeuTwKlAX1rep2rOIfnYsEsk0Lgs73Jy\n",
       "P8woOHhN3GxByuT1X3kiMgXtU4SRrgGLArY64hCHHpEob9+3wNQbPAWt582nnJLlSZZlQsTs7a2Q\n",
       "myw+nsXS2UkwAnYig3QQAAE/AQlkb1HA1Kghe7Ha5vdAJf5vJci7568PEy1c5E/3l8EHudGJbLb7\n",
       "iGGU3VoZK+BIt97I1LbenrudyRgtiZN7m21Ipj28lYo4EpGZWpQf0TxvVIFtTdqx3ZR8phtgycPg\n",
       "lzT/aFYCMUSylcgoYB7x5olYQMvacaANgu+a46coYIsRlvezaaT+9lfz8hZ4n4kpfeLk6XCR5VkB\n",
       "i9Ghk8jasm+07JTH5emYgnb5A0LzUp+Amaa1KCnjxaohK+HlK0wH9ZzvSUmEI3EsIEZOltGxySRT\n",
       "0DZbaSQcm50hljj78PtKzg+jjKx9ltAS5o9/2JxCB8oPsNmP++Y7uUZhLvLFa5xxBEzJG7/V7LBB\n",
       "trZktMhoUl7yRMR4KQJnGkbRFit2OiKS3C9WzVGIYiOswDVg83LHL5omxKTVBsLi2Upcmwb6/g6p\n",
       "VvoRzXR4SAHJT4hIAeewA/iTJ08mv7VoAQikGAGz1iUOBQK9V+X1QbVmD1S+qVwJtXd+R3NF1lSt\n",
       "nrK0lME/Zop/EEOEt99Y9wKbesU4qzYr1kikJk9B8yja+FgWBWZxQWktQg0dQt4/PUCefjdaLyX3\n",
       "XBw4BDomkfX37HrJbZMbahdrZN96qlhDy8g0EpGRsm8aOgYFnBsTOE/xS33ycsfW1arF2SHf8ZDA\n",
       "CmYKmpWsk0g/0k0ByxvKCy+8QMOHD/d3e8GCBdS6dWuaPXu2Pw0HIJDOBEQRaXGLV1Dh6WRqfrZt\n",
       "/FgZBej3PiQz/SyOOngEbKQZG2jJ3tpAkfXf2g6OJGR0Z3VHmWf567hlJ7BsPjajXVHkMi3+8yZS\n",
       "lrVmS3az7aiIPk6qQ3vrpeSeiwIOcExi+pLp67/yfMWi2LeeKlO3YhUdicg0tM+Npaz/ylR2NCLT\n",
       "yHsDLJnF0E8s+cXS2fqdlUhXvF3ML3Lsa7M/MffA/J+R6XBPRGNIy93uOQ1p/ZNPPkmvvfYa9e7d\n",
       "29/KDh060JAhQ6hv3760cOFCfzoOQCBtCYihSO2G5P10aoG6qBctJtX2HNsyzFak2V+THv08qQs6\n",
       "+y1TVXZo4Hvxi6tkatpGjAMKSxQgY3hkXXe2uTcoSRS8+N+VYAuF4FoyqO44nchUs3hT8gu2IOWi\n",
       "kLVS8Z3MIjF6I43pa6aqxWhLJJYRsETICgwhyS+SEpHKzORYjAc12x3Ii4JfZHTrtAbMfYh4FO8v\n",
       "0H0HIQr4448/pvfff5/atWvnb22RIkVo0KBBNHToUProo4/86Yk82LNnD506dSqRVaBsEHAk4H1/\n",
       "EmV9N4v0G2+xcRIrpQhE9jDK1gifyDSwnvUVqZ49fEkhn1kbfyLv51+Qum/w6Wui/PiHSnu9p9Nk\n",
       "fda6B9h3VdKtowkxjopy5Gcss3lN2gRXSFEFLKEaA70nZXQQBt/3Qz5lv6xvNCnW0JFO3ZYs4R8B\n",
       "y6jTOJEJLDefY6Pojx0nsxde8oqlvVjci8jMTeDLknUNWLbtcfSwIK9ruXfmWnRHOo3uu8eFn0EK\n",
       "WBTexo0bqXHj4C0TvnZ369aNfvjhB99p3D5vvfVW+umnn0x5a9asoV69evHSVW1+PtXovvvuw/pz\n",
       "3EijoEgImPVTiTrE06uq8/kcAu/7sLfJj4v3hZfIO+g+8t7Un3Ie+osJcu/tc0PuyDaMkZKMarOm\n",
       "TQny0mT2C8v0W4DiN/6WnaaFxQqa13uNFWleSzVPYatGbOQVhagWzUkvW5Hr5cpmzTqKopKW1Rix\n",
       "ccQeY3wlrdi0iYzFedJa5JKKZSSaNwI21tCR7p8VYy3/GnAMU9DSfRl9542CzUyOOH1hMTM3gev1\n",
       "skZt/b8ia9dibGUVedGNtA/We110HqSAZaR71llnkaz52omky3R0vGXFihW8zMAPl+Xpp5+mpk2b\n",
       "8m/Pdpo7dy7//9lk0uJdJ8oDAUcCYhjVgtdt+Q1cQvZJ5CAnEeWreVsFnTxFHvZP7PmU/SxfchF5\n",
       "X3/DbAGS4AH5iW0g++x6wUEPxALaQQGbdTAZBW/lPCzGgb1MJUerRLkM0xfuk7i4TFmRgBE8Y2Di\n",
       "FvPIL6NdUOY9RGN1X6woma1EZg2Yp3cjEHHYYe6RvLFMQct9olR9BmAyUyP+y0VEEfOLo09kL7sS\n",
       "5xuBYvYR84jdImYaPdJRvOVeN50WsTZmwIABdPvtt5tp6FatWpnLXp4Kk6lpWR+eNo1/bBIoX3zx\n",
       "Ba1du5ZnSM7k51bB1Hn//ffTY489lsBaUTQInCZgHFjk+W2mli2MYhOXeGZ0xdm8n3xGZtuQGLaI\n",
       "JygeKXvu/5O/ANXzQiL5K4CYsH9swavO75Q7BccvqD4XfXbFqux6pHnaWsIdSsxcUb5O24js7pc0\n",
       "cdJRZIvF+Msps4vTTXSnnzfx9KWHlO85uri9hdY033osTwlHPJVs3FGeyG2iDJJk2jhaMR6t9ufe\n",
       "JXvNxeJepFIl86KUe8L/ynqvtDFQHEfArJRTfA+wdDNEAd999910jNeuZKRbkfckVub/lOvWrTMK\n",
       "ccqUKdSpU6dAPHE7ltFujRo16LzzzqN9/GMnClhk+fLl1KZNm7jVg4JAID8C4qHHc83VJpsoMTGQ\n",
       "0rNmk7r+ulzlO/4N8jzK08z8xi75EvIjL6O4+f/LbapMhzsYYPn7IqNd2VfZjUfs7IBDtWzuv5Rx\n",
       "B2YEvMnMSrjKSUiyHwSPPPXylazkAgyd8muT/A771o5FQUa5rCHFK1a0Wqa/pZyiZ/hnJBQ7TfH+\n",
       "L2BJ07IGbO7lEbBxOWltp4zio9yTbC3CDechClgaJcZWgwcPph9//JE2swP4li1bUpMmTXg9PCsh\n",
       "bb7pppvos88+oyeeeIKn+w9Rcfbp+t5779Hjjz9OL730Es2aNSsh9aJQELAlwA4s/KEDOYPq0Y28\n",
       "z79Emo2a9KuvkWf8q2Y0qmxvjk+iyq5HXt6iJBKJIZGs33pfGZebnxW35+Y/mONM/Me487zrHn5w\n",
       "ijwTcplkIgdrnxUPcMw+XJ8RlDWD3blMAee5KBWHGp5Ygh/IlLPPsj5wXzor4MApaDMCllFxoEh9\n",
       "Fk9a5rIo4MCwnIH3pNCxrQKW9hfjDf8dO3Y0f4nuzwMPPEDyJ/ILP+zDApfl0ksvpQcffJBfdCLc\n",
       "s2buwj8gEDsBE15PRr0BPzSyjUiUsMTUzVq+KOxUcOw1W+6sV48tRHfmGlaJM4n8LJrlOq8BG49Y\n",
       "/NJMrXOXjyylZsSpkilOmcrkmTxH39cZQcLSyeLFTBANw8dyyfFUDJ1W563Bxuh7WdycenkGiWRJ\n",
       "JdC6Xlyd8s4BEeMti9eojW/zwMbINHOePghMNn6to91mF1SAO04cFXCymleT//PIn4hMR4tV9FG2\n",
       "wotkGlostJcuXWrbdJnKlpcKCAiEJSD7Rm2Mlzz9byH5KywxRjOynsvTyXrpMvJcdknYqk10G474\n",
       "k1MjmzwT3wyOvBT2zvS8mPXOG+nZsYL0ii2ava/8kzyjRkZcimwj8vqskOVT1mSjFTEQFKPAn/lF\n",
       "Mrue/27zkvv7idyXTFHEopCtIlPgYoBoEZmW9sjoPMXFdQrYynPSpElmGnzcuPynks7gyDAlJIi0\n",
       "jYiFd1ROxG3KQFL6E3BT5BzVhF1S/riYLUjZOjSCt33PP9hQcUB/Uhk8+k3/b2jsPVQ3/YHUnLmk\n",
       "Lu4ZeSEyE+SLohTjCNh4vWJXqpoVqafjecF1y/S0THHv2csK2DL9LDnDGWHl2QkFF5haZ65XwIEu\n",
       "MfNDK+4y5c9OxIPXTou3ILt8SMtwAmLw1KWzKyCI0VdOnYbk+fczEbXHeBFqHYWBTUSlIlO6EJDt\n",
       "alljX4quOzIFzaNNs8ec3bPGsqVLYhETL6noHxYRPfF4cP2yFYlHx8YLls3WNxkle22noHmZMpbR\n",
       "eHDtST8LUcA9evRgYzW2VnOQiy66iEaOjHwKw6EYx2RxBnKE3YyVt5qjO96BCyAQPwISu9dzW+FN\n",
       "NYdruezFLXI81x4iXD5cA4GEEZBpXlGA4voxGutpS4M8f7rPlKHYwDZQlFhmy95gKV+Msqxi6s9b\n",
       "gw68JvnTYAQc5IhD+vfUU0/RmDFjjAcqUcT9+vWjF198ke65h60KWSJZizUZo/jnxIkT9Mgjjxjv\n",
       "V0XZ+YHs/y3F6xXNmzenCRMmRFESsoJA7ASMyzuZCgu01Iy9ONwJAilPQIknLI7Ra1xGSqjMGEW8\n",
       "sqlz2oTeLfY+YmwontsCDbR8OW2moE1IQwkMkQYKOGQELJbPIrIN6B//+AfdckvuaED2/4qXLFHQ\n",
       "N954ow9PXD4l0INMD4uTj/r16xvlK5bQq1atMluijnMAadkWBQGBghAwFs785qz4O2YrYm3Mhkwy\n",
       "VQcBARDII8Brs3rzFuM6Mt5MFFvve7/4ktj5g72lv90IWDxycTSndLDpcfylEUcY4gYyUMRlZCXr\n",
       "Pq3ADDEez5gxg8aOHWv2G8uWIwFbluf+5WVARuPiAAQCAgUhIIENclq0pZzul7CbSPtZFXHAIT8I\n",
       "EBAAgQACsm9YLJjzfDgHXCn4YbOmxpucRLCSSFZWMVPWvPYc6Ofc+JVOAwto6WvICNgHYODAgWYf\n",
       "7n//+1/jFWvRokUmUMPUqVN9WeL2KVPNEmv4D38IdR4g9Yk3LggIFISA/nImqTsGkOeP95L37ntJ\n",
       "39A31B2fRBBq0bwg1eBeEEg7AorDVGrZw9uje9z7JtvtPL2vYscTHPnISWTtWdZ8fVPgsVpjO5Wf\n",
       "xHRHBSyeryT4wieffGJcUd588810xRVXGHeR8W7viBEjzFrz6NGjqQHvfSzDbzfiEWv16tUmJOH0\n",
       "6dPjXSXKyzQCC34gxVsgxLBJtWtLmqe91LXXBFHQa9eRp2+foDScgEDGE+BZIT3kfvLcclNCUKh7\n",
       "B4Xfty5boSSYg18B837kNPADLTAdFbBcrMI/VnfeeaccJlTEsGvx4sU0b948M+0t68Ey6pV13y5d\n",
       "uqTFXH9CAaLwfAnoRT+SscTknOqqK4xrSQpQwCaO7+7dvAbssD6cbw3IAALpScBz6SWkNrJ/8ezs\n",
       "hHTQhN8MV3JAOEPJJn6lzZa7cPekyDVHBSwW0GL5LB6kxErZJ5dddhk999xzvtO4fYr/5+7d4z/F\n",
       "EbcGoqCUJaAlTB+HVfO5lxS/yRJjVLONg+L9iUbY4xQ15xCEbH8AAQEQCCaQKOUbXIv9mShbcVXp\n",
       "/58Zq0cu++KTmuqogJ955hkzDfz8888H+WKWLUIQEEglAiZkICvXQJGYvXrmV7wuPNAka5mibtM6\n",
       "MAuOQQAE3EBA1oAlEpNPxE9F1aq+s5T+dFTAEhRBRsAYlab080XjhcDqNUQWV47qogvJ+8CfiXwK\n",
       "eP4C8ox8CrxAAATcRoBHwP6QiNI2cY1p+f/stiZH2h7HbUh9+vSht99+m3bLuhgEBFKYgHi3EkcA\n",
       "gaLq1CHi7RXeWV+RXsgu8tjhgEkLzIRjEACB5BMwCpgNr/JE791LKk08JToq4O3bt5NYH1fnmIuN\n",
       "GjWipk2bmj+JFQwBgcIioJctJ+OhKsYKjdecDRzhyGZ/r2fgbeTteTnlPPcCqT5Xx1gDbgMBEEgk\n",
       "AcVT0MZI0leJWERXKO87S+lPxylo2XLUrl27kM6VZGMWCAgUBgHN1vA5V19HqlsX8rw0hkzIvWgr\n",
       "5hdJiQ1rXOpZ7hVjrKxvZxKxCzyMfi1wcAoCbiFQiV1gsqMOv/AImD1C+U9T+cBRAUtYPwm6sG7d\n",
       "OsphTyRe9iQkLiElRu/EiRNTuc9oe4oQ0K9NIM+YUUTLV+Tu270m+lGqeLeyG/36EKgL3BH5yNce\n",
       "fIIACFgIiCMmiRfMYjxicQxhE2HJki0VTx2noMUpxtGjR80+4Fq1apE4yxAHGRI0AQIChUFAYuGq\n",
       "Du1IcTB6PWt2bFWKk/fGjWK7F3eBAAgknYDZPnj0GOmTJ3N9RldMn504jgp4A6+bPfDAA3Tbbbdx\n",
       "vORf6LrrrjORiUaN4hEJBAQSTECL71l+4TP+YVu2ML5otThhj1LEu1UkweyjLBbZQQAECpMAB4Qw\n",
       "o2BZ/00j18SOCrgmh4nasmWL2QMsjjj2cbQK2QMsaRAQSDQBzVuHfIpT/MVS61ZEi5dEVa3mpRNa\n",
       "9RPR2WdFdR8ygwAIuIyAUcB7SW/blpCoTMnqreMa8O23326iETVs2JCuuuoq4wdaFHHfvn2T1VbU\n",
       "m0kEeOqYArYOKVbA+sclFNWaraz/8lYjxfYMEBAAgdQloHg3jhhl0tZtHK+7Vup2xNJyRwUssX/X\n",
       "rFlDWVlZRhG/8sorVI73Y11//fWWInAKAvEnIAG6PT17+AtWrVqSd/p//edOB95RzxFbDJK6/0+k\n",
       "P51qLKid8iIdBEAgRQhk1yPi3wS9h/cAd++aIo3Ov5mOClhurRYQn/G+++7LvzTkAIF4Edi4kahe\n",
       "3dOlyWiYl0FkP6DitWGryH5f/fQzZNZ8O3ci7+AhpMeNp6x9vA0JAgIgkNIEVIP65F3wP6JffyNV\n",
       "o0ZK9yWw8WEVcGBGHINAYREwU02lSwft3TVBEtgYS6Iaqe7dQpuyZCmJ0w7PG6+RBPH21s8mz4jH\n",
       "SMF3eSgrpIBAqhGoXo2IDSrpjDPCbitMtW5BAafaE8uE9m7aHDz6zeuzansOG2ItJbIoYM2GgTlD\n",
       "H6Qs9uUsylfE06N73l34AAEQSHUCio2CTfzu33gE7HG0HU65bkbUE3HEcVL2YEFAoBAI6C1bSfEI\n",
       "1iqq03mkv/2ONK/x+sT71juUU7cxZT3xd1LnnetLxicIgECaEfAM6E+e++5Jq16FKGBZS3vhhRdo\n",
       "+PDh/o4uWLCAWrduTbNnx+gMwV8SDtKVgP5+LmmJqRsP+XkTWzrWDilJSQgy2ZL0w0JzzTvmRdJT\n",
       "p1OWBAvvckFIfiSAAAiAgJsJhCjgJ598kl577TXq3bu3v90dOnSgIUOGmC1ICxfm/vj5L+Ig4wl4\n",
       "Rz5LOX+4lXLObkPer78J4aF//530sWMh6U4JevMWUoEGWAEZPX+6j3K6XEg5PS8j7wv/jzzvvEHJ\n",
       "DBYe0DQcggAIgEBUBEIU8Mcff0zvv/9+UCCGIjzqGDRoEEkkpI8++iiqCpA5vQnoOd+Tnv0NZf3M\n",
       "W9a28jaBF18mzbF1faIPHCDv3fca5WyMq3wXwn3KCNhBAcs+YM/bE0hd2YuKrF9FqmjRcCXhGgiA\n",
       "AAi4lkCQAj516hRt5O0fjRs3tm1wt27d6IcffrC9hsTMJOAd/yZ5nvoHKd4vrthnuOfhByinY1cS\n",
       "xSt/OXUa8tpsB/KM/j/K6dWbxGAqnOhdHPWkzJlBFtDW/J7rryMZCUNAAARAIJUJBFlBy0hXHHDI\n",
       "mm+nTp1C+iXpMh0NAQEhYEa6bHVsrJPzkKgO7cnz+Sfkvese0h/9hzxPP0GeQXflXmXrxZzOPShr\n",
       "2UJSEmTbTjbw/t/senZXkAYCIAACaUUgaAQsPRswYACJG8qlS3m7R55IKMJJkyaRrA9feeWVvmR8\n",
       "ZjgBr3iauuaqEAqeSy8hz0P3U9aS/5HnLw/5r3t42tgzaiTldO1Jcq/ev99/zXegWQHbWUD7ruMT\n",
       "BEAABNKFQNAIWDp199130zE2mJGRbsWKFTnwRGUTE/jMM8+kKVOm2I6M0wUG+hE5AX3wIBE7vlCP\n",
       "/832JhkJ24mn77Wk2Jer96PJ5L36Ol47/olUvXqns27kKEhdEKP3NBAcgQAIpCuBEAUsHRVjq8GD\n",
       "B9OPP/5ImzdvppYtW1KTJk2MX+h0BYF+RUdADK/EICoWIyjZr5vFf/qaq8n7pwfI89IYs34sLdAc\n",
       "8chzz93RNQa5QQAEQCAFCYRMQfv6UKxYMROE4cYbbzTrwj9zfNaHHnqI7rknvTZC+/qLz2AC+QU+\n",
       "EOtndX7H4JuiPFPndyJ10x/I+8o4c6fmuNPEkYtUGsX7jBIJsoMACGQQAUcFLAzEA5ZMO19yySXU\n",
       "tGlTWrZsGfXp0yeD8GRmV70vvERetljOGWRvaWz29Eqov3MLbpCneBQsPl718hWkv5wFb1aZ+ZVD\n",
       "r0EgIwnYTkFv376dxo0bZ/5kJLx7925avnw5NWvWLCMhZVKnNcd89n4xk7IO7CTvjbeQZkWrmli2\n",
       "pXFABDqrGSlxjF5AkTI8w/9K3mEPkTjsyBr/agFLxO0gAAIgkBoEQkbAN998s3E7uXXrVpo4cSKt\n",
       "X7+eqrILwOocEBmS/gT0B5NMHF7ZJqT63UB65qyQTuuFHJEoDqNfX8GKoxx5Hh9OWS+MJiVhByEg\n",
       "AAIgkAEEQhSwjHSbN2/uN7wyYeAyAAS6mEtAf/Ele5m63JxI4Gs9Z24IGr1wEalzWoekFyRBdT6f\n",
       "VOtWBSkC94IACIBAShEIUcBLliyhRx99lObPn08NGzY0+34PsEejEzw1CUlvAnrdemJTd1INGpiO\n",
       "qryACJot4X2i9+wh3qcG/8s+IPgEARAAgRgJhChgGfFeeOGFZvpZpqEvu+wyqsf7NMU95R133EEI\n",
       "xhAj6RS4Tc/+mqMKBe/Blalm/cMif+vlWLWJ7+jXXzgOQAAEQCCDCIQo4MC+l+N1QNl2tGjRIvrm\n",
       "m2+oVKlS9PrrrwdmwXEaEdDfziGZdg4U1b5tUHAF4ulnandOYBYcgwAIgAAIxEDA1graWs66deto\n",
       "x44dxhWleMSCpB8BvWEDe8HQ7AayfnDn2rUlevoZ0sePE7HFsmYLaM8Q7AUPhoQzEAABEIieQIgC\n",
       "li1H4g96zZo19PDDD5u9wPfffz9VqFCBf3/PoLlz51KNGjWirwl3uJqAGFtZp5+lwYq3oREbRxnP\n",
       "V+XKmjCBqnx5V/cFjQMBEACBVCAQMgX9xz/+0Ww7Gj9+PL311lv0xBNPmK1Iv7CXoo4dO2IKOhWe\n",
       "agxt1N/PI9XJ3rOVsYb+5DPy/v0JE4c3huJxCwiAAAiAgIVAiAKW9V5xOdmlSxe68847qVGjRlSz\n",
       "Zk1z2+WXX26UsaUMnKY4Ab1vHxFbN6sWzW174rmwBylZ961Zg/cIX2ibB4kgAAIgAALREQiZgpYt\n",
       "R+XzphjLli1LZcqU8ZcoU9ASKQmSXgT0gh+CYvra9c5zx0Ai+YOAAAiAAAjEhUCIApZSJf7vqVOn\n",
       "zKdmwxw5FhHf0JA0JCCWzR3PTcOOoUsgAAIg4F4CtgrYN+Xsa7aMfH3St29f3yE+04SA/nExeQbf\n",
       "lSa9QTdAAARAIDUIhChg8YQlI2AnKVmypNOluKYf520v4n0rcAo8rhWgMENAc5hJKl0aIQDxfQAB\n",
       "EACBQiYQooBr1apVyE2wr+7jjz+m2bNn02uvvWafAalxIaCXr2S/zm3iUhYKAQEQAAEQiJxAiAKO\n",
       "/Nb45RRL67179wYVKKNfWXsWRdy7d2+aMGFC0HWcxIkAx+GltlDAcaKJYkAABEAgYgKuUMCiXAcO\n",
       "HEgSCrF///6m8VOmTKF58+bRyJEjjQvMiHuUQRk1LxXoCW8S7dpN6ro+pBo3irr3euUq8tx2S9T3\n",
       "4QYQAAEQAIGCEQjZB1yw4mK7u3PnzibIg8QeFq9b4nO6UqVKvDRZmurWrWuOYys5ve/yDh5C3rE8\n",
       "Rd+qJXn/8ih5Z3wZVYf1/v1Ev/1GKm+fd1Q3IzMIgAAIgECBCDiOgA8ePGgCMUh84MBQhBId6bnn\n",
       "nitQpXY3i7GVeN768MMPjROQc889lyPjZdllRRoT0N9znN5ff6Ws+d+R8nhIc9AE75Bh5N34M6mB\n",
       "t5EqWjR/TitWEp19Vv75kAMEQAAEQCDuBBwV8DPPPEOHDh2i559/3oxEfTWLT+hEyvXXX0+dOnWi\n",
       "wYMHU6tWCNDuxNr71rvkuW+wUb6SR1WpQp7XXiH9/8aSt/d1RE2bkBKf3WXLkOraxXZ6Wq9a7ej9\n",
       "yqlepIMACIAACMSHgKMCFt/PEoqwe/fu8akpilLEEvuzzz6L4o7MyqpX/0TskoxUx/OCOq44UpX6\n",
       "84OkSBLGawAALAVJREFU7x1ExMpV7+Mp5i1bKKdJC8qay7F+Lfn10uXkuefuoDJwAgIgAAIgUDgE\n",
       "HBVwnz596O2336b27dtTFR5dJUskKtPRo0epTZv8LXVfffVVmjhxom1TZX05Ozvb9lqqJeovZ5G6\n",
       "5CLHZiteO6cO7Unl5VAX9yTv/Q+TZ/T/kapXz6Sa8IKbNpuRcl42fIAACIAACBQiAUcFvH37dpo+\n",
       "fTpNmjSJ6nOMWN967KWXXpqQNWCnPkv9mzdvpnHjxjll8affddddJH92MmzYMNq5c6fdpZRKE9eg\n",
       "evbX5Hn5hYjbrfjFQ930B/K+/gZlPfF47n1Ll/H6bzNSAV7OIi4QGUEABEAABApMwFEBX3HFFdSu\n",
       "XbuQChK9Bix7f48cOeIPCDF8+PCQNmR0wrLlRNWqkeK/aERdfSXp9z8kzS8zii3LTfjBcztEUwTy\n",
       "ggAIgAAIxJGA4zak2rVrm+lnmYKWY5kCluMGDRrEsfrcosTK+pFHHjH1FGXrXVHyshWpefPmcMBh\n",
       "oa2/m0PqfPu4vZasQacy0lU39DWjYM289fT/kurSOSgPTkAABEAABAqPgKMCFn/QTz75JLVs2ZIu\n",
       "uugimjVrlvFItYfjxsZbhgwZQitXrqRp06bR4cOHjS9qmQKXaedXXnmFXn755XhXmbLl6bnzSV1w\n",
       "fkztV9dcTXriB5TTjhW4TD9XrRpTObgJBEAABECg4AQcFbAYNH311Vc0efJkU0uPHj1IoiRJerxl\n",
       "xowZNHbsWKPsxfmGUookFnHHjh1pzJgxJF6xILz3d8MG3m+kzBRyLDxUkSKUtXgBeW69mbLG/DuW\n",
       "InAPCIAACIBAnAg4KuDvvvuOHnzwQaohe0lZJCTh0KFDjVKOU93+YmSqWQIv2MnUqVOpcuXKdpcy\n",
       "Lk3PW0Cqc6cC9Vu2KnkeHFagMnAzCIAACIBAwQk4GmHJuq8o4W7duvlr+eSTT6h69er+83gdjBgx\n",
       "gvr160ejR482a8ziFUucgKxevdoEZBBrbAiPgL+dY5xvgAUIgAAIgEDqE3BUwLJtR4yuvvzyS9qx\n",
       "Y4eZDt60aRPNnDkz7r0WA6/Fixeb4AtSh2wXklGveMPq0oW9OPG0a6aL3r2bOGQUqZYtMh0F+g8C\n",
       "IAACaUHAUQFXZQOdVatW0QcffMDOlLZQ165dzZ9vP3C8e1+8ePGkeN2Kdz8SVZ7+ij1ZdY7N+CpR\n",
       "bUK5IAACIAACsRNwVMBSpBhE3X777WZEKtGJEqV8Y29+5typv/6WPIPtnYxkDgX0FARAAATSh4Cj\n",
       "EVZhbkNKH5yJ6Yk4zyCOTqU47CAEBEAABEAgPQg4KuDC3IaUHijj0wu9cWNIQfqzaST+nCEgAAIg\n",
       "AALpQ8BRARfmNqT0wVmwnuQ8+hjlNGtFOfc/ROLzWUSCJuhZs0ldcXnBCsfdIAACIAACriLgqIB9\n",
       "25ACW5uobUiBdWTqsZcDLOh/PkNZxw4R7dxF3suvNij0m2+TatfWxPvNVDboNwiAAAikIwFHI6zC\n",
       "3IaUjmCj6ZPm2L76xZcpa9USUh4Ped6eQDnndqacv3IgigU/kOej96IpDnlBAARAAARSgICjAl62\n",
       "bJlxO7l161batm1bwrchpQCrhDVRv/cBKYnf26ypqUNlZVHW7Bmkx75G6rPJpDgwBQQEQAAEQCC9\n",
       "CDgq4N9//53+9a9/0Qb2P3z55ZfTb7/9RhK1qESJEulFIMm90bt2kf50KnnGB/vYFpeRCi4jk/x0\n",
       "UD0IgAAIJI6A4xqwxAOeM2cOrVixgiQQwzvvvGPcUEqEJEj8CHh56lnCBCoOwQgBARAAARDIHAKO\n",
       "I2BBsGbNGhN8QaIiiVV0s2bNTMzezMGT2J7qJUuJNm0m9fjfElsRSgcBEAABEHAdAccR8F//+ldq\n",
       "2rQpff7553TzzTcbZTxv3jzq37+/6zqRqg3yvvo6ee4cSLLmCwEBEAABEMgsAo4j4Ntuu41Klixp\n",
       "gjE89NBDJijChRdeSPJXpUqVzKKUgN7qpcuI2PpZdbkgAaWjSBAAARAAAbcTcBwBN2nShP72t7/R\n",
       "t99+S/Pnz6cKvEYpfqHvu+8+t/cpJdonhlfqmty9vinRYDQSBEAABEAgrgQcR8Cy9ejTTz+lL774\n",
       "gr7//ntq27YtPfvss3T11VAaBX0C+tdfSS/4H3keGFrQonA/CIAACIBAihJwVMATJkww676y/isW\n",
       "0GfythhIfAjo2d+Q6ngeKZ7ih4AACIAACGQmAUcFPHToUCpWrBgVLVrUT+Y4+yXesWMHZWdn+9Nw\n",
       "ED0BzW4nPddeE/2NuAMEQAAEQCBtCISsAYuzDVG0w4cPp1mzZpljOZe/KVOmYA24gI9eHz5MtIEj\n",
       "Hp3boYAl4XYQAAEQAIFUJhAyAh4/fjwNHjzY9On5558P6ptMQ4t3LEjsBPT380id04ZUkRD0sReK\n",
       "O0EABEAABFKOQMgIeNCgQXTy5EkaNWoUyb5fORZ/0DICPsyjt3vuuSflOummBut584kuON9NTUJb\n",
       "QAAEQAAEkkAgRAFLG4rw6EzWgGfOnEnnnHMOXXbZZfT1119T7969ac+ePUloZnpUqU+dIlr0I6n2\n",
       "7dKjQ+gFCIAACIBAzARsFbCU9uqrrxo3lJMnTzaFiz/omjVrmvSYa8v0G5ctJ2rYgCTQAgQEQAAE\n",
       "QCCzCTgqYPH9/OCDD1KNGjUMoTPOOMOMisUvNCQ2AvqHhWb9N7a7cRcIgAAIgEA6EXBUwLVr1zYB\n",
       "GAI7+8knn5iISIFpOI6cgF60mBSsnyMHhpwgAAIgkMYEHE1xhw0bRu3btze+oGXvb8eOHWnTpk1m\n",
       "XTiNeSSsa/rIEaLt24kaNUxYHSgYBEAABEAgdQg4KuCqVavSqlWr6IMPPqAtW7ZQ165dzV8WIvfE\n",
       "9nQl+MLZZyHyUWz0cBcIgAAIpB0BRwUsPS1dujTdeOONtG/fPqpTp07adb4wO6RXriLVulVhVom6\n",
       "QAAEQAAEXEzAcQ1Y9v8OGDCAypQpQ82aNSOJjiQxgmU/MCR6Anr5SlLNmkZ/I+4AARAAARBISwKO\n",
       "CnjMmDFm6nnJkiX0K0fvETeUq1evpn/84x9pCSKRndI5ObnuJ3kKGgICIAACIAACQsBRAYvivf/+\n",
       "+6lFixaklDKj4Keeesp4xwK6KAms30BUswYp3soFAQEQAAEQAAEh4KiAxfvV66+/TocOHfKTmjp1\n",
       "KvXs2dN/joPICOg1a0k1aRxZZuQCARAAARDICAIhRlidOnWiAwcOmM6vW7eOKlWqRM2bNzdbkEQZ\n",
       "P/rooxkBJq6dXLuOqGmTuBaJwkAABEAABFKbQIgCfvHFF+mU+Cx2kAoVKjhcQbITAb1uPXkuv9Tp\n",
       "MtJBAARAAAQykECIApbgC5D4EdBeL9GmzUQN6sevUJQEAiAAAiCQ8gQc14BTvmdu6QCHcqQqlUkV\n",
       "K+aWFqEdIAACIAACLiAABZzgh6A3/kwK7icTTBnFgwAIgEDqEYACTvQz+3kTUZ3aia4F5YMACIAA\n",
       "CKQYAUcFfPDgQerXr5/ZByxesHx/Q4cOTbEuJre5mhWwyq6X3EagdhAAARAAAdcRCDHC8rXwmWee\n",
       "MXuAn3/+eeMT2pcOK2gfiQg/N28hqp8dYWZkAwEQAAEQyBQCjgr4l19+oXvuuYe6d++eKSzi3k/N\n",
       "/rRp5y6iGjXiXjYKBAEQAAEQSG0CjlPQffr0obfffpt2796dlB7msP/kw4cPJ6XuuFW6bRsr3+oI\n",
       "QRg3oCgIBEAABNKHgKMC3s7B46dPn07Vq1enRo0aUdOmTc1fItaAJfLS008/TQMHDqQff/yR3n//\n",
       "fZJ4xOXKlSN5Efj9999TkriW6ee6COOYkg8PjQYBEACBBBNwnIK+4oorqF27diHVJ2IN+KGHHjKR\n",
       "lsQJyA033EBFihShjz/+mGrVqkXDhg0zkZgkPeVk6zZSUMAp99jQYBAAARAoDAKOCrh27dokf/v2\n",
       "7aNtPJUqo+CSJUsmpE0y0l64cKGJPVyiRAkz7d21a1dT15NPPknDhw83ijkhlSeyUBkBn9s+kTWg\n",
       "bBAAARAAgRQl4DgFLWuwAwYMMMEYevToQWeeeSZde+21CZkOrl+/Pv30008G4R133EG33nqrH+fy\n",
       "5cupYcOG/vNUOtAyAuaXGAgIgAAIgAAIWAk4KuCxY8fS+vXradWqVWYULJGRtNY0cuRIaxkFPpe4\n",
       "w1dffTV98sknbDBcgzp06GDKfOSRR+iBBx4wa8MFriQZBWANOBnUUScIgAAIpAQBRwU8f/58krXZ\n",
       "Zs2amY7IKPWxxx6jb775Ju4du/jii2nNmjV+xeur4Morr6SNGzeacIi+tFT51Dx1T2eWJsVT6hAQ\n",
       "AAEQAAEQsBJwXAOWuMDfffcdXXXVVf575Lxy5cr+83gelClTxqwBB5bZsWNHo5iPHj1Kbdq0Cbxk\n",
       "eyx7l3fs2GF7befOnXT8+HHbawlJ5Olnqon9vwlhi0JBAARAIA0IOCrgvn37GjeUMuLt3LkzLVq0\n",
       "iJYsWZKQEXA4jpMmTaLNmzfTuHHjwmUz15YuXUqzZ8+2zbd27VpKhAW3bWWcqLf9QqpmTafLSAcB\n",
       "EAABEMhwAo4KuGLFiiQGUO+++66ZBu7Vqxe98847xjK6MJmJBXSkcvnll5P82YlsZ5JRcKGJhCGs\n",
       "XavQqkNFIAACIAACqUUgRAGfe+65JH6g586dSxMmTAjqzWuvvUaXXXYZjRkzJig9nienTp2iI0eO\n",
       "UPny5eNZbKGXpbfvIE+rloVeLyoEARAAARBIDQIhCvjVV1+levXqUYMGDUiMo6ySCMV44sQJevzx\n",
       "x43rS1nHFWtr2XOcnZ1trKBlO1TKiawBV6+Wcs1Gg0EABEAABAqHQIgCbtWqlanZ4/FQlSpVqGjR\n",
       "ov6WiBGTk5GTP1MMB0OGDDHTw9OmTSOxti5VqpTxAy1boMT1pdQ7ePDgGEpOzi3yAkE8AiasASfn\n",
       "AaBWEAABEEgBAiHbkGQ0KgpP1l5nzZpljuVc/qZMmUL33Xdf3Ls1Y8YMkn3HLVu2NKEPlVJUtmxZ\n",
       "Eitome6WelNKJIBFubKkAl5eUqr9aCwIgAAIgEDCCYQo4PHjx5O4g5Q4wGLQJMe+v7vuuovEGCve\n",
       "0rx5c0fr5alTpyZs61O8++EvT0a/MMDy48ABCIAACIBAKIGQKehBgwaRuIMUBSx7gX0BGWRUmpWV\n",
       "RceOHQstpYApI0aMoH79+tHo0aPN2rPsCT506JAJ0CBGWeIrOpXEbEHiKFIQEAABEAABEHAiEKKA\n",
       "JaNEIxJ/zKKMxQWl+IX2er1mGvq8886jiRMnOpUXU7o42Vi8eDHNmzePNm3aZNaDxeGHrPt26dKF\n",
       "RPmnlLAhGZxwpNQTQ2NBAARAoNAJ2CpgaYWMRsUD1Z133kkyDSyjYolMJP6ZEyHFixen7t27J6Lo\n",
       "Qi/TbEFq1rTQ60WFIAACIAACqUMgZA3Y1/QNGzaYLUC33XYbydag6667zuwLHjVqlC8LPp0I/LId\n",
       "I2AnNkgHARAAARAwBBwVcE3eQrNlyxZjlSyW0RIXWFw5ShokHwJihFULXrDyoYTLIAACIJDRBByn\n",
       "oG+//XazDUhi8UpAhiuuuIJEEYuPaIgzAb1/P1HxYqR4Sh0CAiAAAiAAAk4EHBXwWWedZSIRieWz\n",
       "7Md95ZVXqFy5cnT99dc7lYV0ISCjX45pDAEBEAABEACBcAQcFbDcVK3aaVeKiXDAEa5hqXpNb99O\n",
       "qga2IKXq80O7QQAEQKCwCIQoYNn2c/DgQcf6xT/0s88+63g94y/s4IhLtRCGMOO/BwAAAiAAAvkQ\n",
       "CFHAolxPnjzpeFulSpUcr+ECExAL6LZtgAIEQAAEQAAEwhIIUcAdOnQIuUHi6IriFQcdkPAENI+A\n",
       "PVgDDg8JV0EABEAABMhxG5J4vhLHGxIg4aKLLjKBGXr37k179uwBtnAExAsW1oDDEcI1EAABEAAB\n",
       "JuCogCUu8FdffUWTJ082oHr06MHR9WqSpEPsCWjepkXHjpOqWNE+A1JBAARAAARAII+AowL+7rvv\n",
       "6MEHH+QdNblbas444wwTm1eUMsSBgIx+q1ZxuIhkEAABEAABEDhNwFEB165dm0QJB8onn3xC1RHl\n",
       "JxBJ8LFYQFc/vXUr+CLOQAAEQAAEQOA0AUerqmHDhlH79u3pyy+/pB07dhhnHBKpaObMmafvxlEQ\n",
       "AQnCgD3AQUhwAgIgAAIg4EDAUQFLTN5Vq1bRBx98YPw/d+3aleRPPGNBHAjwiwpPEThcRDIIgAAI\n",
       "gAAInCbgqIAl7GDVqlXpL3/5y+ncOApLQO/aTZ52bcPmwUUQAAEQAAEQEAKOa8B169al5cuXU05O\n",
       "DkhFSmAbG2FVqxppbuQDARAAARDIYAKOI+ASJUrQ1KlTSaaixSDLN/V8ySWX0L///e8MRham6wjE\n",
       "EAYOLoEACIAACAQScFTA3bp1oy+++CIwrzmuiD2uIUwkwYQhLF2KVLFitteRCAIgAAIgAAKBBBwV\n",
       "sIQfxBpwIKp8jmX0CwOsfCDhMgiAAAiAgI8A1oB9JAr4qXftIlUTcYALiBG3gwAIgEDGEHAcAWMN\n",
       "OMrvgERBghesKKEhOwiAAAhkLgFHBXzppZdSq1at6NChQ7R7925jiFW8eHHCGrDDl0W8YLVo7nAR\n",
       "ySAAAiAAAiAQTMBRAdeqVYsef/xxeuONN6hChQp08OBBkmhIEydODC4BZ4aAZiccnot7ggYIgAAI\n",
       "gAAIRETAcQ147NixtH79euMNa9++fbRu3TrSWtPIkSMjKjjjMrETDoQhzLinjg6DAAiAQMwEHBXw\n",
       "/Pnz6aGHHqJmzZqZwuvXr0+PPfYYffPNNzFXlq43anFWsmcvUeXK6dpF9AsEQAAEQCDOBBwVcKdO\n",
       "nUKiIUl0pMpQMqGPYM8eokoVSXkccYbegxQQAAEQAIGMJuC4Bty3b19q0aKFGfF27tyZFi1aREuW\n",
       "LMEI2O7rsnMXXFDacUEaCIAACICAIwHHIZtYO4sv6Jtvvpm8Xi/16tWLVqxYQa1bt3YsLFMv6J07\n",
       "SVVDHOBMff7oNwiAAAjEQsBRAYvB1YwZM4zCfe6556h06dImFjCCM9hg3s1T0DUQhtCGDJJAAARA\n",
       "AAQcCDgq4MmTJ9Po0aOpWt7IrkuXLvTee+/Rm2++6VBUBieLG8oqMMDK4G8Aug4CIAACURNwVMCf\n",
       "f/45PfXUU9S4cWNTaPPmzY1C/uijj6KuJN1v0OyoRFWpku7dRP9AAARAAATiSMBRAUs8YGs0JNmC\n",
       "JOEJIRYCsgcYbigtUHAKAiAAAiAQjoCjFfTAgQOpZ8+eNG3aNDrvvPNo2bJltIsDDsjIGGIhIHuA\n",
       "MQK2QMEpCIAACIBAOAKOCrhmzZokzjhmzpxpvGDdcccd1LFjR/Jgr2sQTxMHuGwZUmecEZSOExAA\n",
       "ARAAARAIR8BRActNZcuWpWuvvTbc/bgm08+VKoEDCIAACIAACERFwHENOKpSMjkzG2DBAjqTvwDo\n",
       "OwiAAAjERgAKODZu/rs0r/+qyhgB+4HgAARAAARAICICUMARYQqTyYyAsQUpDCFcAgEQAAEQsCEA\n",
       "BWwDJZokLV6w4IQjGmTICwIgAAIgwARcr4DF9eXvv//u3oe1bz+pqlXd2z60DARAAARAwJUEXKGA\n",
       "t27dSrfeeqvxN33RRRfR+vXr/bAmTZpEt9xyi//cdQcyBV2hvOuahQaBAAiAAAi4m4ArFLD4nK5e\n",
       "vTotXLjQ7DUWv9Nr1651Nzlf63gEjG1IPhj4BAEQAAEQiJRA2H3AkRZS0HzTp0+nxYsXU4kSJWjE\n",
       "iBF01lln0SWXXEJz5swpaNEJvd844ShzJqmsrITWg8JBAARAAATSj4ArRsCicGX065Mbb7yRhgwZ\n",
       "Qpdddhnt27fPl+y+z73cNjjhcN9zQYtAAARAIAUIuEIBDxo0iPr27UsjR470I7v//vuNF65hw4b5\n",
       "01x3IC8HsIB23WNBg0AABEAgFQi4Ygr64osvpg0bNtDGjRuDmP3973+nrl27mmtBF1xyYpxwVKjg\n",
       "ktagGSAAAiAAAqlEwBUKWICVKlWKWrRoEcJOjLPEJ3UkMnnyZMdoTfPmzeOARXF2mCEj4IpQwJE8\n",
       "G+QBARAAARAIJuAaBRzcrNNnsg1p8+bNNG7cuNOJDkcyWm7ZsqXt1aeeeooOHz5sey3mRLGAbtok\n",
       "5ttxIwiAAAiAQOYScL0CHj58eMRPp2LFiiR/dlKuXDk6fvy43aWY0zSPgD0YAcfMDzeCAAiAQCYT\n",
       "cIURVuADOHXqFB04cCAwyb3HMgJ2UPjubTRaBgIgAAIg4AYCrlDAJ06coEceeYRq165NRYsWpQps\n",
       "2CRrws2bN6cJEya4gZN9G/azAkYkJHs2SAUBEAABEAhLwBVT0LLnd+fOnTRt2jSqX7++Ub6yXrtq\n",
       "1SoaOnSomToePHhw2I4U9kWtNdGBg0Q8tQ0BARAAARAAgWgJuGIEPGPGDBo7dqwxoCpdujQppYzl\n",
       "c8eOHWnMmDE0ZcqUaPuV+PwyTV62jGlr4itDDSAAAiAAAulGwBUKWKaaZ8+ebct26tSpVLlyZdtr\n",
       "SU2U6WfsAU7qI0DlIAACIJDKBFwxBS3+n/v160cSlKFBgwZUpkwZOnToEK1evZrEKEt8RbtO9vMI\n",
       "GFGQXPdY0CAQAAEQSBUCrlDAbdq0McEYxFnGpk2bzHqwjHpl3VciI8mUtNtEAjEojIDd9ljQHhAA\n",
       "ARBIGQKuUMBCq3jx4tS9e/eUAUcYAafOs0JLQQAEQMCFBFyxBuxCLvk3SYywEAkpf07IAQIgAAIg\n",
       "YEsACtgWSwSJ4oSjXNkIMiILCIAACIAACIQSgAIOZRJRiuYRsCpfPqK8yAQCIAACIAACVgJQwFYi\n",
       "kZ5jDThSUsgHAiAAAiBgQwAK2AZKREmyBowRcESokAkEQAAEQCCUABRwKJN8U3RODtHRY6R4vzIE\n",
       "BEAABEAABGIhAAUcC7WD7AMaTjhiIYd7QAAEQAAE8ghAAcfyVTAW0AjCEAs63AMCIAACIJBLAAo4\n",
       "lm+CjICxBSkWcrgHBEAABEAgjwAUcAxfBbihjAEabgEBEAABEAgiAAUchCPCE4kDXB5T0BHSQjYQ\n",
       "AAEQAAEbAlDANlDyTTJT0FDA+XJCBhAAARAAAUcCUMCOaMJcgBOOMHBwCQRAAARAIBICUMCRULLk\n",
       "0TwCRihCCxScggAIgAAIREUACjgqXHmZZQ24LJxwxIIO94AACIAACOQSgAKO5ZuwnyMhVagQy524\n",
       "BwRAAARAAAQMASjgKL8IWmuiQ4d5HzCMsKJEh+wgAAIgAAIBBKCAA2BEdHiYlW/pUqQ8QBcRL2QC\n",
       "ARAAARCwJQAtYoslTCKmn8PAwSUQAAEQAIFICUABR0rKlw9OOHwk8AkCIAACIFAAAlDAUcLDFqQo\n",
       "gSE7CIAACICALQEoYFssYRLFCQcCMYQBhEsgAAIgAAKREIACjoRSYB6sAQfSwDEIgAAIgECMBKCA\n",
       "owVn1oDLR3sX8oMACIAACIBAEAEo4CAc+Z/oAwdIIRJS/qCQAwRAAARAICwBKOCweGwumkAM8IJl\n",
       "QwZJIAACIAACURCAAo4ClsnKI2DEAo4WGvKDAAiAAAhYCUABW4nkdy5uKCtWzC8XroMACIAACIBA\n",
       "WAJQwGHxBF/Uhw4RlSgON5TBWHAGAiAAAiAQAwEo4GigYQtSNLSQFwRAAARAIAwBKOAwcEIu7eMw\n",
       "hBVhgBXCBQkgAAIgAAJRE4ACjgKZ5hGwQhzgKIghKwiAAAiAgBMBKGAnMnbpZgsSnHDYoUEaCIAA\n",
       "CIBAdASggKPhJVuQKleO5g7kBQEQAAEQAAFbAlDAtlgcEvfsxR5gBzRIBgEQAAEQiI4AFHAUvPTe\n",
       "faQqVYriDmQFARAAARAAAXsCUMD2XOxT9/IIuBKccNjDQSoIgAAIgEA0BKCAo6HFI2DCCDgaYsgL\n",
       "AiAAAiDgQAAK2AGMNVkfOUJUrCipokWtl3AOAiAAAiAAAlETgAKOFNk+Hv1WqRJpbuQDARAAARAA\n",
       "gbAEioS9WkgXR40aRSdPnnSsrWnTptS7d2/H64VyYddurP8WCmhUAgIgAAKZQcAVCnjTpk304osv\n",
       "Uv/+/alUqVIh5Cu7YO+t3r2HFEbAIc8GCSAAAiAAArERcIUCfuGFF8jr9Zq/l156KbaeJPqu3TwC\n",
       "rgInHInGjPJBAARAIFMIuGYNeOTIkXT48GH69ddf3cmeR8BQwO58NGgVCIAACKQiAVeMgAVc6dKl\n",
       "6d1333UtQ817gD1Vq7q2fWgYCIAACIBAahFwjQKOBzattZnGtitLprjlesyyYyf7gYYXrJj54UYQ\n",
       "AAEQAIEgAq5XwGvWrKGjR49SmzZtghpud/L666/T+++/b3eJNmzYQGJNHYtoVt4kfqCrVYvldtwD\n",
       "AiAAAiAAAiEEXK+AJ02aRJs3b6Zx48aFNN6acMcdd5D82ckHH3xABySaUSwiBlgVypPKyorlbtwD\n",
       "AiAAAiAAAiEEXKeAT506RUfY61T58rlxd4cPHx7S6EJP2LmLqDpGv4XOHRWCAAiAQBoTcIUV9IkT\n",
       "J+iRRx6h2rVrU1F29VihQgWzH7h58+Y0YcKEpOPXu3aRql496e1AA0AABEAABNKHgCtGwEOGDKGd\n",
       "O3fStGnTqH79+kb5ypakVatW0dChQ+n48eM0ePDg5FHfspWoZo3k1Y+aQQAEQAAE0o6AK0bAM2bM\n",
       "oLFjx1LLli3NdiSlFJUtW5Y6duxIY8aMoSlTpiQVvN72C1GtmkltAyoHARAAARBILwKuUMAy1Tx7\n",
       "9mxbslOnTqWku6JkBayggG2fDxJBAARAAARiI+CKKegRI0ZQv379aPTo0dSgQQMqU6YMHTp0iFav\n",
       "Xk1ilDV9+vTYehenu1TdOkR1+A8CAiAAAiAAAnEi4AoFLHt8Fy9eTPPmzSMJzCDrwTLqlXXfLl26\n",
       "kExJJ1M8jz2azOpRNwiAAAiAQBoScIUCFq7Fixen7t27pyFidAkEQAAEQAAEQgm4Yg04tFlIAQEQ\n",
       "AAEQAIH0JgAFnN7PF70DARAAARBwKQEoYJc+GDQLBEAABEAgvQlAAaf380XvQAAEQAAEXEoACtil\n",
       "DwbNAgEQAAEQSG8CUMDp/XzROxAAARAAAZcSgAJ26YNBs0AABEAABNKbABRwej9f9A4EQAAEQMCl\n",
       "BKCAXfpg0CwQAAEQAIH0JgAFnN7PF70DARAAARBwKQGlWVzatrg2a8mSJdSrVy8Sv9ORisQh/v77\n",
       "76lkyZKR3pLy+Y4dO0ZFixalrKyslO9LJB2Qr7/0Gc84ElqpmQfPODWfWzSt9qmxTp06RXObybtx\n",
       "40b68ssvqWbNJISc5YZDHAjs27dP9+nTx+Fqeibfd999evny5enZOZte7d27V1977bU2V9I36d57\n",
       "79UrVqxI3w5aerZnzx7dt29fS2p6n95zzz165cqV6d3JgN7t2rVLX3/99QEpqXGIKeio35dwAwiA\n",
       "AAiAAAgUnAAUcMEZogQQAAEQAAEQiJoAFHDUyHADCIAACIAACBScABRwwRmiBBAAARAAARCImgAU\n",
       "cNTIcAMIgAAIgAAIFJwAFHDBGaIEEAABEAABEIiaQMbsA46aDN/g9XqJtzBQ1apVY7k9Je/hrVdU\n",
       "pkwZOuOMM1Ky/dE2Wp4xb0WiKlWqRHtryubHM07ZRxdxw/GMI0aV1IxQwEnFj8pBAARAAAQylQCm\n",
       "oDP1yaPfIAACIAACSSUABZxU/KgcBEAABEAgUwlAAWfqk0e/QQAEQAAEkkoACjip+FE5CIAACIBA\n",
       "phKAAs7UJ49+gwAIgAAIJJUAFHBS8aNyEAABEACBTCUABZypTx79BgEQAAEQSCoBKOCk4k9e5adO\n",
       "nSKOmJm8BqBmEAABEMhwAlDADl+Ap59+mlq2bEnZ2dkkx+kkW7dupbp169LGjRv93Tpw4ABxQGtq\n",
       "1KgRtWjRgubOneu/9vXXX1Pnzp0Ni2uuuYYkb6rIe++9Rz169KBWrVrRzTffTKtXr/Y33ekZh2Ph\n",
       "v9mlBzk5OTRs2DBq06YNnXXWWTR69Gh/S8P1K5Wfsa+DM2bMoAoVKvhOzWc6PmPpWPv27alOnTr+\n",
       "v7Fjx5r+puszXrBgAbVr147OPvtsuuKKK9Ln/zGPgiAWAh9++KE+//zz9cGDB/WOHTs0/3jr6dOn\n",
       "W3Kl5ulrr72mGzRooNnVpF6/fr2/E3379tVPPPGEZteMevbs2Zrdb+qjR49qdsWpq1evrpcuXapP\n",
       "nDih+cddDxgwwH+fmw/k2Uk/du7caZo5fvx4ffHFF5vjcM/YiYWb++pr25gxY3SfPn00K2L966+/\n",
       "6ho1auh58+aZy079SuVn7Ov3/v37Nb846nLlyvmSdLo+Y3adqsuXL2+e72+//abl7+TJk2n7jI8f\n",
       "P67r16/v/x7zS7W+9tprTX9T/RnLNCTEQmDgwIH65Zdf9qf+61//0nfeeaf/PFUPfv/9d6OA1qxZ\n",
       "oytXrhykgM8880zN/mP9XWvbtq3mEYX+/PPPNY8g/ek8atZly5b1n7v54JdfftHffPONv4mLFi3S\n",
       "pUuXNufhnrETC39BLj6QH6vDhw+bFsoLVKVKlfScOXPMuVO/UvkZ+x7FTTfdpOUFSxSTT9L1Gc+c\n",
       "OVP37NlTHzlyRC9ZssSvfKXf6fiMJ0+e7H9xlkFRoKT6M8YUtJm4Cf5ny5YtxKM+f2K1atVo165d\n",
       "/vNUPShatCh98cUX1Lhx46AuyLQVK+eg6Tvp8+7du8nKQgJTHDp0yOQPKsSFJzz6oy5duvhb9uqr\n",
       "r1KvXr3MubVfvmccjoW/IBcfFCtWjPhHmN5//3264IILTH87duxolg3S8RnLo5g0aRIVL16cLrzw\n",
       "wqAnk67PmJUurVy50kzJdurUiTp06ECsmNL2GW/evNn8Nsn/ZR44EM/gmf7Lw071ZwwFHPRfNvdE\n",
       "IomUKlXKf6VkyZLE0zz+83Q7sPZX+leiRAniKUyyXpN0ER5dmc9U+Yen3umzzz6jZ5991jTZ2i/f\n",
       "M7amS2Yfi1Tpq7RTKWXWgBcuXGjWy8L1y3otlZ4xLy/QiBEj/M818BlZ+5Uuz1heFocOHUo//fQT\n",
       "iT2H9IunYkP+rwoL33fXyiKVnrFEpJP+DRo0yPTx0ksvpZEjR5pHbe1Xqj1jKODA/7F5xzxtRzyN\n",
       "578ixzKaSlex9lf66euz9RpPe5nRBk/1pQwOMVAZPnw48dQd1apVy7Tb2i+n/gaySJkOc0NvuOEG\n",
       "euutt4htGejFF18ka38D+2W9lkrP+N577zUGgjzNbp4v2ynQ1KlTzQyNtV/p8ox5up0efvhh83UU\n",
       "o7Nbb73VKChrf9PlGfO6vjG+6tevn5nd+fOf/0yffvopybO29jnVnjEUsPkaB/8jP9Iy7eGTTZs2\n",
       "Ue3atX2nafcpX3B5I962bZu/b9JnsbIUFnLsk1Rj8eabb9Ljjz9ufpybNWvm64bpl90zDsfCf7OL\n",
       "D3gdlMRi1CdiNbpu3ToK169UfsayrMIGgvTPf/6TXnrpJeI1cHMsM1ZO/4/DsfBxc/Pnu+++Sz/8\n",
       "8IO/iceOHTNTs+H6lcrPWNouyyo+kVjl0meJ5Z3yzzhwQRvHuQTEKIW3IGkx4vn55591w4YNNX/h\n",
       "0wqP1QhLjBmGDBliDDo++ugj3bRpU2P1LEY9HKxei+GHHPPbtv7LX/6SEizEYIyXEjRvsTEGZjxd\n",
       "5Tc0C/eMnVikQqfFeFAsvcUqlteztRjTiXW7iFO/UvkZBz4TfqH6/+3csS40URQH8CvZgkSn1Gk0\n",
       "XsJbeAVRWjrR6BUqrUKv4ylEPIIoxSOMORObcO1u597Zvb9JhFlfvjPnd9j/zO4dvxZhreuMb25u\n",
       "hkVYcVdCrIiOGd/f36/tjPur2m5nZ6frTyyHHq+urrr+/eDh61WfsVXQP3+Dv7+OW3HiVpv+jLLr\n",
       "32/pLi8v5/yr1X4oD+A40Tg4OBhuW4nblOJWpNkWS/1j9fDu7m53eHg4rL6cfW/Mn6fTafylkT8f\n",
       "cdvGshkvsxhzv3Fs0Vv/Ut1w0hgnjv1LlV1/tTAc9rK+VnXGP+eRB/C6zjhWPx8dHQ23E8ZzVJxY\n",
       "xR0Osa3rjB8eHobn4nhu2t/f7+LkOrZVn/FGNDG7tPf5t0C8nxCrSuOjlS0WPMRKw3yLv5wV7w2u\n",
       "0nu/eQ/z9pfNeJHFvP9nbI/FS7DxczuZTP4c2qK+zPgP1agfmC2EjIVH+baOM46o6q/45z4/rerv\n",
       "sQDOf3LtEyBAgACBAgIWYRVAVoIAAQIECOQCAjgXsU+AAAECBAoICOACyEoQIECAAIFcQADnIvYJ\n",
       "ECBAgEABAQFcAFkJAgQIECCQCwjgXMQ+AQIECBAoICCACyArQYAAAQIEcgEBnIvYJ0CAAAECBQQE\n",
       "cAFkJQgQIECAQC4ggHMR+wQIECBAoICAAC6ArAQBAgQIEMgFBHAuYp8AAQIECBQQEMAFkJUgQIAA\n",
       "AQK5gADORewTIECAAIECAgK4ALISBAgQIEAgFxDAuYh9AgQIECBQQEAAF0BWggABAgQI5AICOBex\n",
       "T4AAAQIECggI4ALIShAYi8De3l56eXkZy+E4DgJNCwjgpseveQIECBCoJSCAa8mrS6CywMnJSZpO\n",
       "p5WPQnkC7QpM2m1d5wTaFbi4uEivr6/p6empXQSdE6gsIIArD0B5AqUFbm9v0+PjY3p+fk5bW1ul\n",
       "y6tHgMC3gJeg/SgQaEwgrno/Pj7S+/t7Y51rl8C4BATwuObhaAj8u8Dd3V06PT1Nx8fH/15LAQIE\n",
       "FgsI4MU2vkNgLQW2t7fT+fl5ent7SxHGNgIE6ggI4DruqhKoKrC5uZmur6/T2dlZ+vz8rHosihNo\n",
       "VWCj67dWm9c3AQIECBCoJeAKuJa8ugQIECDQtIAAbnr8midAgACBWgICuJa8ugQIECDQtIAAbnr8\n",
       "midAgACBWgICuJa8ugQIECDQtIAAbnr8midAgACBWgICuJa8ugQIECDQtIAAbnr8midAgACBWgIC\n",
       "uJa8ugQIECDQtIAAbnr8midAgACBWgICuJa8ugQIECDQtIAAbnr8midAgACBWgICuJa8ugQIECDQ\n",
       "tIAAbnr8midAgACBWgICuJa8ugQIECDQtIAAbnr8midAgACBWgICuJa8ugQIECDQtMAXCiY55FR7\n",
       "BiYAAAAASUVORK5CYII=\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%%R\n",
    "logCor <- function (k, tq1 = tqBAC, tq2 = tqC){\n",
    "    tq_p1 <- diff(log(as.numeric(aggregate_tq(tq1, k)$PRICE)))\n",
    "    tq_p2 <- diff(log(as.numeric(aggregate_tq(tq2, k)$PRICE)))\n",
    "    return (corr_tq(tq_p1, tq_p2))\n",
    "}\n",
    "\n",
    "plot(2:600, ksmooth(2:600, sapply(2:600, function(k){logCor(k)}), \"normal\", bandwidth = 10)$y,\n",
    "     col=\"red\", type = \"l\", ylab=\"correlation between BAC and C\",xlab=\"k\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "(d) Is your plot consistent with the Epps effect?  What was the intraday correlation between BAC and C returns on 04-May-2012?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### <font color='Blue'>Solution:\n",
    "\n",
    "<font color='Blue'>\n",
    "Yes, it is consistent, because the larger of $k$, the larger the estimator. The introday correlation between BAC and C returns on 04-May-2012 is $0.04299153$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[1] 0.04299153\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%%R\n",
    "logCor(2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "(e) Use the function *getSymbols* from *quantmod* to download daily data for BAC and C from 01-Jan-2012 to 31-Dec-2012.  What was the historical correlation of daily BAC and C returns over that period?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### <font color='Blue'>Solution:</font>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[1] 0.7996545\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%%R\n",
    "\n",
    "# get symbols\n",
    "\n",
    "getSymbols(\"BAC\", src = \"yahoo\", from = \"2012-01-01\", to = \"2012-12-31\")\n",
    "getSymbols(\"C\"  , src = \"yahoo\", from = \"2012-01-01\", to = \"2012-12-31\")\n",
    "\n",
    "# Calculate historical correlation of daily BAC and C returns\n",
    "\n",
    "tq_BAC_adj <- diff(log(as.numeric(BAC$BAC.Adjusted)))\n",
    "tq_C_adj   <- diff(log(as.numeric(C$C.Adjusted)))\n",
    "cor(tq_BAC_adj, tq_C_adj)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## The Hayashi-Yoshida estimator"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 3. (2 points) \n",
    "Show that when two time series $p^{(1)}$ and $p^{(2)}$ are synchronous, the Hayashi-Yoshida estimator coincides with the realized covariance estimator."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### <font color='Blue'>Solution:\n",
    "\n",
    "<font color='Blue'>\n",
    "The Hayashi-Yoshida estimator is\n",
    "\\begin{equation}\n",
    "HY_t=\\sum_{i \\leq t}\\,\\sum_{j \\leq t}\\,(p^{(1)}_i-p^{(1)}_{i-1})\\,(p^{(2)}_j-p^{(2)}_{j-1})\\,v_{ij}\n",
    "\\end{equation}\n",
    "where\n",
    "$$v_{ij}={\\bf 1}_{[t_{i-1},t_i] \\cap [t_{j-1},t_j] \\neq \\emptyset}$$\n",
    "\n",
    "When two time series $p^{(1)}$ and $p^{(2)}$ are synchronous, then $v_{ij} = 1$ for any $i,j$.\n",
    "\n",
    "\\begin{equation}\n",
    "HY_t = \\sum_{i \\leq t}\\,\\sum_{j \\leq t}\\,(p^{(1)}_i-p^{(1)}_{i-1})\\,(p^{(2)}_j-p^{(2)}_{j-1})\\,v_{ij}\n",
    "= \\sum_{i=j}^t(p^{(1)}_i-p^{(1)}_{i-1})\\,(p^{(2)}_j-p^{(2)}_{j-1})\\times 1 \n",
    "= \\sum_{i=1}^t\\Delta p^{(1)}_i \\Delta p^{(2)}_i\n",
    "\\end{equation}\n",
    "\n",
    "Assign $t=T$, and take the average, we derive the realized covariance estimator \n",
    "\n",
    "\\begin{equation}\n",
    "HY_t = \\frac1T\\sum_{i=1}^T\\Delta p^{(1)}_i \\Delta p^{(2)}_i\n",
    "\\end{equation}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Fulvio Corsi's HAR-RV model"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The following code loads the data of SPX realized volatility required for this problem. Data were downloaded from the Oxford-Man website"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "trying URL 'http://mfe.baruch.cuny.edu/wp-content/uploads/2015/03/spx_krv.rData_.zip'\n",
       "Content type 'application/zip' length 39431 bytes (38 KB)\n",
       "opened URL\n",
       "==================================================\n",
       "downloaded 38 KB\n",
       "\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%%R\n",
    "download.file(url=\"http://mfe.baruch.cuny.edu/wp-content/uploads/2015/03/spx_krv.rData_.zip\", destfile=\"spx_krv.zip\")\n",
    "unzip(zipfile=\"spx_krv.zip\")\n",
    "load(\"spx_krv.rData\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 4. (12 points)\n",
    "\n",
    "(a) Rerun the HAR-RV example code using the 2008 *DJI_RV* sample from the *highfrequency* package."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### <font color='Blue'>Solution:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\n",
       "Call:\n",
       "\"RV1 = beta0  +  beta1 * RV1 +  beta2 * RV5 +  beta3 * RV22\"\n",
       "\n",
       "Residuals:\n",
       "       Min         1Q     Median         3Q        Max \n",
       "-0.0017683 -0.0000626 -0.0000427 -0.0000087  0.0044331 \n",
       "\n",
       "Coefficients:\n",
       "       Estimate Std. Error t value Pr(>|t|)    \n",
       "beta0 4.432e-05  3.695e-05   1.200   0.2315    \n",
       "beta1 1.586e-01  8.089e-02   1.960   0.0512 .  \n",
       "beta2 6.213e-01  1.362e-01   4.560 8.36e-06 ***\n",
       "beta3 8.721e-02  1.217e-01   0.716   0.4745    \n",
       "---\n",
       "Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n",
       "\n",
       "Residual standard error: 0.0004344 on 227 degrees of freedom\n",
       "Multiple R-squared:  0.4679,\tAdjusted R-squared:  0.4608 \n",
       "F-statistic: 66.53 on 3 and 227 DF,  p-value: < 2.2e-16\n",
       "\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAAeAAAAHgCAYAAAB91L6VAAAD8GlDQ1BJQ0MgUHJvZmlsZQAAOI2N\n",
       "Vd1v21QUP4lvXKQWP6Cxjg4Vi69VU1u5GxqtxgZJk6XpQhq5zdgqpMl1bhpT1za2021Vn/YCbwz4\n",
       "A4CyBx6QeEIaDMT2su0BtElTQRXVJKQ9dNpAaJP2gqpwrq9Tu13GuJGvfznndz7v0TVAx1ea45hJ\n",
       "GWDe8l01n5GPn5iWO1YhCc9BJ/RAp6Z7TrpcLgIuxoVH1sNfIcHeNwfa6/9zdVappwMknkJsVz19\n",
       "HvFpgJSpO64PIN5G+fAp30Hc8TziHS4miFhheJbjLMMzHB8POFPqKGKWi6TXtSriJcT9MzH5bAzz\n",
       "HIK1I08t6hq6zHpRdu2aYdJYuk9Q/881bzZa8Xrx6fLmJo/iu4/VXnfH1BB/rmu5ScQvI77m+Bkm\n",
       "fxXxvcZcJY14L0DymZp7pML5yTcW61PvIN6JuGr4halQvmjNlCa4bXJ5zj6qhpxrujeKPYMXEd+q\n",
       "00KR5yNAlWZzrF+Ie+uNsdC/MO4tTOZafhbroyXuR3Df08bLiHsQf+ja6gTPWVimZl7l/oUrjl8O\n",
       "cxDWLbNU5D6JRL2gxkDu16fGuC054OMhclsyXTOOFEL+kmMGs4i5kfNuQ62EnBuam8tzP+Q+tSqh\n",
       "z9SuqpZlvR1EfBiOJTSgYMMM7jpYsAEyqJCHDL4dcFFTAwNMlFDUUpQYiadhDmXteeWAw3HEmA2s\n",
       "15k1RmnP4RHuhBybdBOF7MfnICmSQ2SYjIBM3iRvkcMki9IRcnDTthyLz2Ld2fTzPjTQK+Mdg8y5\n",
       "nkZfFO+se9LQr3/09xZr+5GcaSufeAfAww60mAPx+q8u/bAr8rFCLrx7s+vqEkw8qb+p26n11Aru\n",
       "q6m1iJH6PbWGv1VIY25mkNE8PkaQhxfLIF7DZXx80HD/A3l2jLclYs061xNpWCfoB6WHJTjbH0mV\n",
       "35Q/lRXlC+W8cndbl9t2SfhU+Fb4UfhO+F74GWThknBZ+Em4InwjXIyd1ePnY/Psg3pb1TJNu15T\n",
       "MKWMtFt6ScpKL0ivSMXIn9QtDUlj0h7U7N48t3i8eC0GnMC91dX2sTivgloDTgUVeEGHLTizbf5D\n",
       "a9JLhkhh29QOs1luMcScmBXTIIt7xRFxSBxnuJWfuAd1I7jntkyd/pgKaIwVr3MgmDo2q8x6IdB5\n",
       "QH162mcX7ajtnHGN2bov71OU1+U0fqqoXLD0wX5ZM005UHmySz3qLtDqILDvIL+iH6jB9y2x83ok\n",
       "898GOPQX3lk3Itl0A+BrD6D7tUjWh3fis58BXDigN9yF8M5PJH4B8Gr79/F/XRm8m241mw/wvur4\n",
       "BGDj42bzn+Vmc+NL9L8GcMn8F1kAcXgSteGGAABAAElEQVR4AeydB7gU1fnGv71UqYL0otJUFEE0\n",
       "iqhBEXslotgblogtKJZI+FuwGw1BI4omIWqsRMUIxGBDMaIGgyJSRBRRihSBS5F65/+9Z/cMs7uz\n",
       "e/feO7s7u/c9z3Pvzk45c85vZued7zvnfCfiaBImEiABEiABEiCBnBIoyenZeDISIAESIAESIAFD\n",
       "gALMG4EESIAESIAE8kCAApwH6DwlCZAACZAACVCAeQ+QAAmQAAmQQB4IUIDzAJ2nJAESIAESIAEK\n",
       "MO8BEiABEiABEsgDAQpwHqDzlCRAAiRAAiRAAeY9QAIkQAIkQAJ5IEABzgN0npIESIAESIAEKMC8\n",
       "B0iABEiABEggDwQowHmAzlOSAAmQAAmQAAWY9wAJkAAJkAAJ5IEABTgP0HlKEiABEiABEqAA8x4g\n",
       "ARIgARIggTwQoADnATpPSQIkQAIkQAIUYN4DJEACJEACJJAHAhTgPEDnKUmABEiABEiAAsx7gARI\n",
       "gARIgATyQIACnAfoPCUJkAAJkAAJUIB5D5AACZAACZBAHghQgPMAnackARIgARIgAQow7wESIAES\n",
       "IAESyAMBCnAeoPOUJEACJEACJFCzmBHMnTtXPv/8c/nxxx+la9eucuCBB8rOO+/sVnnbtm0yadIk\n",
       "qV27thx33HHu+kJd+M9//iOrVq2SPn36xNUzm/XZvHmz/Pvf/5addtpJjj76aN9TbdiwQd544w1Z\n",
       "vHixdOvWTY488kjf/QppZVlZmZSUVO79tTxmK1askGnTpsXhqFWrljRp0kS6d+8u9erVM9tw7+Ie\n",
       "7tWrl7Rs2TJu/+nTp8uSJUukc+fOsvfee8dtW7RokXz22Wey++67m/ziNubxSz7uX1TXcjzqqKNc\n",
       "tlg/depUWb16tS/fjz76SJYvXy677rqr7LffftjdTZleP/cAz8Lrr78ujuOYNX379pWGDRua5dLS\n",
       "UpkyZYpZxn130kknmeXK/Cvv/kvME8/Pjz/+WFq3bm2eoYnb/b7j/sJ9hnsP96BNCxYskC+//FLa\n",
       "t28vPXv2tKvN5/bt22XixIlmuXfv3tK8efO47TZP70o8d9q0aWOe7/b3mCl/e90r+vvxnr/Ky3qx\n",
       "iy6tXLnSOfXUU3EXx/3tsssuznPPPefWd926dWY71hdD+uUvf2nqow+HnFVn2bJl5pz6IEp5zmOO\n",
       "Oca9DvpQSblfIWzQFzrniCOOcH744YdKF7c8Zvqy4vJKvIdbtGjhfPDBB+bc+tJo9rvllluSyoLr\n",
       "gWP1gZ607S9/+YvZdsUVVyRty+eKfNy/qG+jRo0MDxWHuOofdNBBZv2ECRPi1v/888+OvsibbR07\n",
       "dnT0ZSxue6bXL+6g2Bd90TL54tp5n1V///vf3fVqMPgdmvG68u6/xIxwD6E8p512WuKmlN8vueQS\n",
       "c8y9994bt8+DDz5o1l944YVx6/HFngfnuvHGG5O22zyxPfFPX+odNT7MMZnyr+zvJ6lgVVhRuVd4\n",
       "rX2Y0/nnny+vvfaaeTPSCy56I8vll18uP/30k5xzzjny5ptvhrn4RVU2WGjvvPOO1KxZU77++mt5\n",
       "+eWXC7p++mLnWiLZrki7du3kj3/8o/nDfXzooYcaq+viiy82pz733HPN54svvhhXFFgrsD6aNWsm\n",
       "xx57bNw2fqk6AdzDa9asMRl988038tZbb/lmWt718z3Is9Kbr3fZs0tRLf75z3926/O3v/1NtmzZ\n",
       "4n73LsD6x+9i5MiRcttttxnvD54xf/jDH7y7SXn8w/D7KToXNC7Ev/71L6lfv7588skn0rZtW3NR\n",
       "zj77bONyGzZsmFx77bUyZ86cuIuFB5ZaBrJ+/XrBQxZuXJv++9//yquvvmp+dHA3HX744bLnnnva\n",
       "zaJvxObY2bNnS4cOHQQXFm4RpC+++MK4uOBO+vTTT82DEa6Xb7/9Vg444ACB28sm3FC46X7zm99I\n",
       "3bp15auvvpLnn39e1KI3++LFokaNGnZ3mTVrltm+detWc053Q5oF1OX9998XPDjgGsLN3KVLF3ME\n",
       "3F+ow0UXXWRERi0t4ypSS0nUSnBzxQMI7jC4kcAqVYI7/JFHHjFu0gYNGsg//vEPOeGEE4wrFceg\n",
       "HO+99555MVJrQ84880zXrTtu3DhTxjPOOEPGjBlj3F9XXXWVwBULNxUeSHDFHn/88XLYYYfFFQEC\n",
       "pFaLuS5wd6vF6roWN27caMoO9yK4oWkCL2VwZSHBfTV27FhzbrhoDz74YHMvwL31zDPPyNq1a81+\n",
       "jz76qPTv319QbqTyypQpM5NZ7J9au+ZesOtw/eFqnj9/vmH2q1/9ytznuJa4rmhiQQJnpIEDBxpe\n",
       "5kuKf2+//bbguqsXSNTCcO9b7J7uXoG78IUXXjD74JqAE+7xpk2bumfKxv2rXivT5AF3dePGjc39\n",
       "ZK8BTvz73//erD/99NMFD3H8ztSyNizcglVxAc8JJPx2cJ/h/vRrfinv+nlZeYuEZxeayryii+uE\n",
       "3xt+U3ip9SZcfzQD4XmA3/R5552X5L4t7/5L9wzznssuP/zww+b3dd1115kmPLu+sp9qlZvfEF4a\n",
       "UQe4+PHMxTMhMeFFFM9Im+Cqvvrqq5OabcrjH8Tvx5ah0p9VsJ5Deaj+AI17QkUkqXwqrk4kEjHb\n",
       "tf3GsS7oOnXqOHBDq+iZbdgHbjokuBwVrqMPe2evvfZyVAAd7K/CarZr24yj7RxmH32Im0/kheOQ\n",
       "rLtvjz32MNuQl4qqWUZ+NukDxazT9gizSn9w5pzY3+arLwWO/vjMdhVAt7wot60D9k/lgh4/frw5\n",
       "B+qggmiW9SHmqGVq8lQhMuv0Bjf5WXeYLRN2Gjp0qNkH58F59UXDfPdzQWtbj7sv9sef5XrzzTcn\n",
       "bVMhdVQgTVmse8hywyfS9ddfb45Ti9rBH66VvvmabfinDwZHxdLdB+eEe8omfTky21B/cMB26xaH\n",
       "K1EF2RyP81nX5D333GMOBwdbD3w+8MADZn15ZaoIM2RoXWj777+/yR//ULZnn33WnF/b0d319pqh\n",
       "DDbpi4PZD/eUX7L3pLbpGX72vteHn6OCZQ4p7175v//7P3OOVq1aOdbdrS8Ajr7UmOOzcf9qe6wD\n",
       "Jt5rgGttrw9OjHtWH8iOvlQ62n7q7gvXZ6pkrzP4vvvuu+4f7gWcy+uCxm8F9xzYwZWL8+Fv6dKl\n",
       "bvYVuX7uQbEF5IV7096n+hLj4A/l0Bcw80zwuqD1BdZ9TlguuI76EupmXd79V94zzLqGvS5onAPn\n",
       "0xdS9zzeBesuvuyyy1yeYDt48GBzXKIL+r777jPr9SXbUUvYLHt/t8jb5ul1a6M5QF80zf4jRoww\n",
       "RagI/8r8frz1rOoyGvyLKuEmxY1x1113+dYLDwxsRzuaFWB8xwNl06ZNzmOPPWa2Q0TVGnUuvfRS\n",
       "8x0PJCTcRGpBO2ppm+/Dhw8323Fe3AxWXPXt2Gy3DzuIhbrF3Ta5X/ziF+Y4tdLNfuoiN9+tQKmF\n",
       "bb6rJWjyVQvefH/qqafM/tpJwXy/4YYbzHa12sx31CWVAOMm1zd157vvvnPUgnH0DdAc89e//tXk\n",
       "aW9GCDDYYD8r/toRw1m4cKERLTz08AKAH669+f0EGC8L9uGBhyLyACP7cIdQ4AGiVrcD8UXZ1UNh\n",
       "ymIFWL0FjnZIcj788ENHO2GYh59aAo56LJzvv//ewfVUi8FRy9U8EFFeCCvKp52/HHXBOmppmOum\n",
       "TRAOfvh4KKBs+I5jcV7Ud/LkyWYZ1xJ8UL9f//rXzp/+9CdTJry0qVvL7KPWoTmmvDJVlBlOZB8g\n",
       "4AwRQRlx/6Cc4Ih7wibtSGLWo1wQadxP2A9tk6mSvSfxsAdbdac6as2b4/CQQ0p3r4CNdghz0B4N\n",
       "UUTCy8itt97qto1n4/61oqTWrbk3cR9BPMFJvUumHKgT6g9RBg/1VJjveHlNlawA4zi/P68Ao70d\n",
       "+0DUkCw370tARa5fYpmsAFsRGj16tIM/nBO/UxgCVoDxW7Jlxz2KFwL7Ygv+uE6Z3H/lPcP8BBj3\n",
       "h31mJtYB361Y+vHEOvwOvQkvTFiPZxdEHb9jvOjg+WGTzRPGBn4Xdh8ch+cpnglIFeFfmd+PLU8Q\n",
       "n0UnwIMGDTIX0q9jCoDZt+L//e9/rgDjQkMckCC6uMlxUXHx8cPCMv5gFeEN7V0VYZvww8Y2WCDq\n",
       "8jI/EtwgeGgi2YcdhMCbnnzySXMc8sMPCZYofkyw0lEW5AnLBMKKfNXlYtbBsseDBefAPvamg6Ag\n",
       "D6xLJcA4P0REXakOOuDgLR77q5vYFM0KMKxIm2ClYx/tUe4Kp7ob7WbH3sB+AoydIHI4Xl2n7jH2\n",
       "LRgPbJvU3WT2016+ZpUVYDyIbEI5kRc664AJ/g455BCzTl3AbllgidmkPT7tovsJ7wWsZrzR42GG\n",
       "PMEcLwJW6CDaAwYMMPxxfWyy1qXthFVemezLRkWY2QcIridemKy1oU0W5v6wZcEnLE6IMuqgbnXn\n",
       "pptuMst4OKZK9p5U17y7i+Xfo0cPd126ewUvRjgnBAMvT3jhxcMeKRv3L+55W0/rfcK57IvpnXfe\n",
       "ia+mPCgXxAgJ++K7va/MyoR/VsSGDBni3HHHHe6fNl+ZY60A4zdmfzPqHjYvfRBF5K9NT+Z3iawr\n",
       "cv0SimLKDwsYljbyxT2K+xDL6mqOE2AYAVgPS90mGBHWuzVv3ryMfrPlPcP8BNieL9WnFUttYnN5\n",
       "gi2egyizV4Dxsox1u+22m2GKl2n7YuPtjGXzRH1xz1kPVuK9XhH+lfn9pKpzZdYXXRuwbZtF+29i\n",
       "0htS1NIRFVxRMcXLh9lFHyLusB0s649M0F0e7cH6Rmn214eWaZNVURa0/91///2iDzuzDzLRB61p\n",
       "e8ayWh/4EAy/sQl5ehPapPUt2rSjqYiYtkUVJtOmpw8ws6s+dEQtC/cwvfFMmx6GEeBPb0C3rQfL\n",
       "aO+2bZTuQZ4FfWuV3/3ud6I/UNM5R8VV1HXmtrvaXfVBZxfd9h2wUovQrFer092uPxp3OdMFfbCb\n",
       "XW3bM7506tTJrEMblzd5ueF6IKH9HvxtAhd98Jg2Kazztq2pwNrdzLU65ZRTRF+gzPlU5E17Idp9\n",
       "cU8gH7TlqotL0P6NdjP84XqjPdQvlVcmew9UhhmYqFVu2ntxj6APAToTqqvULYq+MMhZZ51l2trR\n",
       "JouhFUjoh1Be8l5nex1tfcq7V9DJER1g0E4HVvhTETTDmyzzIO9f9I1Axyfc5+hnYZMd4pJ43+hL\n",
       "i9nFWxZ7TKrPa665xv3tYh/cCxg6ZxPY4veC5O27ge/falszOndqj398NSmT62f3TfzEsehEhHsV\n",
       "9yauj7fe2N/+jiwDrNMXc/McwLMOfUcy+c3aa17eMwz5VzT169dPfvvb37qHPfTQQ6a92l2hC7bz\n",
       "lXrc3OeZ3a4v2aIvd+5zCOsvuOACkyfayPEbViPJDKdDu783ZcK/Kr8f77kqvVwZ1Q7zMXjrs1YN\n",
       "2nRssu5IBeWcfPLJZrXXBQ2XNJL+4MzbGPaDe03HUzoYAmBdsnoDme2whJCsxWHduLCW8MasP0iz\n",
       "3VobcGUmJmsJ4s0P54NVbhPyh3WhDxazCvXSTkuuy8+2vdp2Przxw5JHPn4WMMqP/GBV2XabK6+8\n",
       "0uwPNx2StYC9Lk5YDshTRc+47bEMaxfWABJcX3adWZHwz88ChrsSx8B6sUkF1ayD5YtkLWBYGjbB\n",
       "7YvjtOOVXWVczXADw3OBemM7LBq435BQPgyDwjWB5Y/t2rHLbINVBTcq1uGtG94ENBMgP7ifsWyv\n",
       "Dc6NBNcu9rfWXnllwn2F/SvCzL7Be9uAcR9a6xz3lDfZetu2XLjj0iV7T6JMts1We5WacsLiLu9e\n",
       "0Qe2aYIBH3CG29s2Z1iLJej7F/WBZwMsX3nlFbd68ApgnWWCexy/A5vwu8F2b7u53WY/rQVc3jAk\n",
       "fXkzecHrop2D3D/bLg1LFami18+WA58oPyxYJNuchvJbi9HrgsYzBtuwv/XSwErGOliHeH5lcv+V\n",
       "9wyrigXsba9FnRKHIaGM1pWM5iwvV+vx0BdLHOq6tb15qkFh6othYdYbWFH+Ff39mMIE9A9WYNEl\n",
       "uDpwE+IP7Zm4sLbtDgKEmxTJCjB+sLiJ8fCwgmM7HMAthXzgEtHepQ7aXPFde0KbPKz7BO2ScGuq\n",
       "NWK2W8G1Dzu/MZd40NtyJj404ZrGNnRE0F6WpgMYyol2SiS4XbAdDw/8gPbZZ5+0AgyBQnsp8nj8\n",
       "8ceN29m62u0NXZ4AQ3RxHpwXDzSwsG7virigtRevcauiLBBTfaM1L01oy0NbL5IVYHTmsQmCCVc2\n",
       "hAguefyYsQz3H9oxIQa2bR2faKdDWyWurQalcJAXyo6mBDzEbXMF1uHhCxcuygCRHauuf3DHQwAv\n",
       "dGhvRoKLFvvjWDyYyitTZZj5PUBwbrjscW5cc7woepNaQWYbtkNM0yV7T4I/3Hm47+24VjzsyrtX\n",
       "8DKLNjscD9fvSy+9ZDqy4dz2ZS7o+xf1eeKJJ0wdcT3x8mr7QeB6WgHKlgDj/sG9BmHDsjfZzobY\n",
       "js5Ylbl+Nj+vANvrBK5obkHyCjC+44UJ23E9tEey6yK3bdSZ3H/lPcP8BBgGAH4XeFH1S9ZdbJ8t\n",
       "dp9EAcb9gvLb56ndD5+333672WY7SfrliXvVPrPty3tl+Ffk9+MtY1WXi1KAAQUPBfuQwAXGjYs3\n",
       "WPuWhH2sAOPNWt0kruWMC27bkPDD1nGXroDbm8WKOPJBxy086LEND0cIvu3Na39EfgKMY23PWjxc\n",
       "vAllg4VorXmIjA5TcndB/hAuPAQhGtgXfyiDnwWMA9GBC0KJffDCYDtf2JeN8gQYeaCd1Iow2rnR\n",
       "RosHYkUEGPngoYV2UTy0UB5YmratDdv9BBjr0bsc4o9j8DDEQ9jb4xNWAa6f5YJz6DhZHGoS2tBt\n",
       "xytYxqg78kLnOSR0eEH7JphiPdoB1Q1ttuEfxA15YxtefJDKK1NFmaV6gOBhY18ArLVlCqD/1B3s\n",
       "MrH3rt2W+GnvSZTftv/hwQ9rAi8USOXdK7DI0Z5nWeI+xUuR9Txk4/5FufA7wW8B/HGNcA2tNwLb\n",
       "syXAEBKcE+fzS7jPsB19Ripz/WyeXgHGSyHyxJ+tY6IA4/l0oXZosi/CsCbRkdHb9yGT+y/dM8xP\n",
       "gG2/BOtNs+W3n35iiW2JAmz7Enj7etg8UGdcY/ze0B8nVZ4zZsww1x2c8AJZGf4V+f3Y8gXxaXw1\n",
       "WvCiTWiDQxufCkRSW2dipfVmNu2E3rYx7z5qBZm2Yu3I5V3tLqO9COM0VVTcdVVdUBehKb8dV5yY\n",
       "H9p49KHptmEnbk/8rjeNacdKlV/i/qm+qxUgGGdX1bri+qANCtwqkmwgBIyX9EsqAGZMNca3JiaM\n",
       "BUabsbetOHEfdY2ZdnaUSx8AcZuxTS2LpPaq8soUFLO4wgTwBW2J+uJoxp57s8vkXsH9ifse/Q9U\n",
       "PLyHm+Wg7197An3JMGEa9QXArqrWn3gG4Drgd412cr+Uyf2XjWeYX1m4Lkqg6AWYF5oESIAESIAE\n",
       "wkigKENRhhE0y0QCJEACJEACXgIUYC8NLpMACZAACZBAjghQgHMEmqchARIgARIgAS8BCrCXBpdJ\n",
       "gARIgARIIEcEKMA5As3TkAAJkAAJkICXAAXYS4PLJEACJEACJJAjAhTgHIHmaUiABEiABEjAS4AC\n",
       "7KXBZRIgARIgARLIEQEKcI5A8zQkQAIkQAIk4CVAAfbS4DIJkAAJkAAJ5IgABThHoHkaEiABEiAB\n",
       "EvASoAB7aXCZBEiABEiABHJEgAKcI9A8DQmQAAmQAAl4CVCAvTS4TAIkQAIkQAI5IhBaAcZ8rZhL\n",
       "lIkESIAESIAEipFAKAR40aJFcsEFF8j06dPN5POXXHKJtGrVykwyP2jQIDOxejHCZ51IgARIgASq\n",
       "L4FQCPCtt94qu+66q+yzzz7yyCOPyLZt22TWrFkyc+ZMWbdundx5553V9wqx5iRAAiRAAkVJIOJo\n",
       "ynfNOnbsKHPnzpXatWvLvvvuK+PHj5dOnTqZYmH9FVdcIVOmTMl3MXl+EiABEiABEgiMQCgs4D32\n",
       "2EOefvppU6kjjjhCJk2a5FZwwoQJ0qVLF/c7F0iABEiABEigGAiEwgJesGCBnHTSSabNt3PnzvLS\n",
       "Sy/J3nvvLSUlJVJaWirvv/++tG7duhh4sw4kQAIkQAIkYAiEQoBREnjC33zzTZk9e7agU1abNm2M\n",
       "5XviiSdKzZo1eblIgARIgARIoKgIhELZtmzZIrfffrs888wzsnjxYiPG9erVkw4dOshPP/0kF198\n",
       "cSDQhw4dyqFNgZBkJiRAAiRQHAR22203gTbkI4VCgK+55hpZtmyZTJw4UdAhq379+sb1DGt4yJAh\n",
       "gjHBgwcPrhKfG2+8UZ544gk55ZRTqpQPDyYBEiABEigeAmPGjJF27drJmWeemfNKhUKAJ0+eLNOm\n",
       "TTNjfy2Bxo0bS+/evWXUqFFy2223VVmAYWWffPLJ8uyzz9pT8JMESIAESKCaE8BIGwx9zUcKRS/o\n",
       "bt26ybvvvutbf/SCbt68ue82riQBEiABEiCBQiUQCgt4xIgRcs4558jIkSPN+N9GjRrJ2rVrZc6c\n",
       "OebNxDssqVBBs9wkQAIkQAIk4CUQCgHu2bOnzJgxw7ihFy5caNqDYfWi3bdPnz4SiUS8ZeYyCZAA\n",
       "CZAACRQ8gVAIMCjWrVtX+vbtayxehJ9s0qRJwcNlBUiABEiABEggFYFQCHC6YUjoHp7pMCT0cn7u\n",
       "ued864rY0mxL9kXDlSRAAiRAAnkgEAoBDmoY0uWXXy7480snnHCCmWnJbxvXkQAJkAAJkECuCYSi\n",
       "FzSGIWEsVvfu3aVBgwamzdc7DAmTMzCRAAmQAAmQQDERCIUAcxhSMd1SrAsJkAAJkEAmBELhguYw\n",
       "pEwuFfchARIgARIoJgKhEGAOQ6rYLYXILf/+978FQ7YOOuggOfLII6Vly5ZuJv/9739lyZIlcuqp\n",
       "p7rrwryAIWjffvutnHbaaUnFfOONN8wEHXZDjRo1TNi4/fff38QKX7FihYkhftFFF0nTpk3tbuaz\n",
       "rKxMHn74Yenfv7/svvvucdv4hQRIgATyTSAULmhAsMOQ0OP5lltukUsvvVQOP/xw+eqrr8wY4XyD\n",
       "Csv5EazkgAMOkA8//NDEzP7zn/9sxOXVV191i/j222/L2LFj3e9hX5g6daqJ0+1XzhdeeMFsw32A\n",
       "v5kzZ8rvfvc72Weffcy80RDdP/zhD4L9EhOiq916663SrFmzxE38TgIkQAJ5JxAKCzgdhXHjxsl3\n",
       "330nTz75ZLrdqsW2Dz74QG6++WaZMmWKHHLIIW6dwejcc8810zkeeuih7vpiWUBM8McffzyuOued\n",
       "d5488MADgt7tF154ofz973+XK6+8Mm6fp556Ss466yzTsS9uA7+QAAmQQAgIhMYCTsVi+PDhFN8Y\n",
       "nLvuuksuueSSOPHFpjPOOMO4Wf/yl7+4GFevXi0DBgyQnXfeWQ4++GCZPn26uw0eBrisd9llFzn+\n",
       "+OON+9dufPrpp6Vr166CXuj9+vUz4UCxDXM0IyoZrM8WLVrIb3/7W7PdHofPe+65x2zHMmaywvHI\n",
       "Z6+99jICifVICLSCFwbkAxc6xmhXNO29996C8eNIgwYNko8++ki++eYbN5v169fLK6+8Yjwp7kou\n",
       "kAAJkECICIROgDErBcQj32n7ldfKto57Ze+v895SNuW9ClUTQgXB8ksQWYiQTe+//77Zd/78+XLE\n",
       "EUcYS3HDhg2m7RjWItqJ0e6KiGMQVSS0K1911VXy+9//XhYsWGCOP+644+Tnn382Yge399dffy0Q\n",
       "abwIIA/8IaG9dfTo0SaaGcTv6KOPNsdDFPHicN111xnLHftCMNesWSOffPKJOfc//vEPrE6ZMEc0\n",
       "yoa/1157Te69916577775Ne//rU5plOnTqaO3pmukCemtkzFK+XJuIEESIAEckQgFC7ooCJhBcks\n",
       "sv9+IipYWUvamSjSpk3G2TuOIytXrkwZzatt27am45XNEPNbwl2NhOkc//jHPxoBg9UL8cPcy+ik\n",
       "BTFFxyYkjMVGhyWIORJEE23Mb775psDi3L59u9x5552yxx57mO2YPxOid+CBB8o777xj8kGHsBdf\n",
       "fFE2b94s1157raDceAHAVJCw0JE32qsx9hsdo/AHK3zVqlUmT79///vf/2TYsGGyceNGQQe0o446\n",
       "yrxsoEw24YUAZfu///s/swruZ/QjYCIBEiCBsBIIhQAHFQkrSMgllw4SwV9IEiakQM9f9Hz2S7Bm\n",
       "f/GLX7ibDjvsMHd5p512kh49esgPP/xgehrDwn300UeNtQsLERYqRA15YB+0NduEwCg//fST/Sq7\n",
       "7babu4wOc+i5/NBDD5meyBdccIGUlJSYfCCW3nZqHITywSKGkHstU5QVlm2qBPG2ncrw4gCXO/Lx\n",
       "CjDKcfXVVxtXOzpdffzxx/Lyyy+nypLrSYAESCDvBEryXgItACNhZXYVYEn+9a9/Ne5e7xFw22O9\n",
       "V3TRcc0meBi+/PJLM3wH7a8nnXSSfPHFF6ZX8X777Senn366mQQD7cKwaiHE9g89qtGRySZrLeM7\n",
       "BBZtzBBFWLUYCoSEfLAe7mqbD9zj6EgFixd5fPbZZ2Zf/Js3b567XN7CiSeeaNqfMX0l3OQ24SUD\n",
       "6xALHC72X/3qV0nDkuy+/CQBEiCBMBAIhQAzElZmtwI6pGG4FgQRlioSOkfBIkRb7o033uhmhLG1\n",
       "n3/+uRHrxx57zBwH9/B7771n3MBoZ+/cubOxfGvVqmXCf8KKxHAeHIeEFyOM0cZY21QJVvCQIUPM\n",
       "fmiLRTr22GOltLTUtAnbNn30ZEanqHr16plxyygT2ophyaazfv3OC3c0zmXbgO0+cEPjHOgVTvez\n",
       "pcJPEiCBsBIIhQuakbAyuz0gXhMmTJAbbrjBiCjachs1amQ6PP3tb38z44JtTrCGzz77bNPei3bY\n",
       "l156yVilsH7R9otxtLVr1zYdrNBeCqsUooVOW3APo4cyejBjhqn27dsba9bm7f2E2xmduDDe1ia0\n",
       "P0PIMTEG3Ns1a9Y0FqkVRVipsFDhzkbnLVi1aN/ONCE/DEtDezLqbS1vuOjxIgIrH94CJhIgARII\n",
       "M4GIPpydMBRw06ZNMm3aNNPGuWzZMtPZqEuXLmboC9o/q5rsbEi2125V8wvD8eDUqlWrtEVZunSp\n",
       "2SeRIS77jz/+6Hv81q1bTU90iHBVE8qIfNA2nJjQtowXCAgqEwmQAAnkgwACG11//fVmaGSuzx+a\n",
       "J5+NhJVrAIV8vvLEF3Vr3bq1bxUhyKmOh0s6CPHFiVOdA9sSQ0diHRMJkAAJVBcCyWZJdak560kC\n",
       "JEACJEACeSRAAc4jfJ6aBEiABEig+hKgAFffa8+akwAJkAAJ5JEABTiP8HlqEiABEiCB6ksgNJ2w\n",
       "qu8lyLzmCIphx+h6j0JHJwShCHtCz2v0dkfQjIomDGvCeHH8JSbM+YvxxjZhuFaHDh1MoJCGDRua\n",
       "cczPPPOMGa6U2PGLcwZbavzMFoGyF8dJpF9fiXBazGwhLth8aQEX0KVDkAnMB4yoUt6/yswmlI9q\n",
       "I9zlp59+WqlT/+lPfzLhJf0OxsxMb731lonshTmDEZcaLyQYJ7x8+XLT25pzBvuR47psE3B0fHvZ\n",
       "WeeL8/yL2T4V8y9AArSAC+yiIaIUgmoUYkL4y2wlxBPHpA42YeYnBBDBrEiYJ5hzBlsy/MwpAY17\n",
       "btLm6NSZOT03TxZ6ArSAU1wihCfRCX2y9qexLgJPiIyFqfr23XdfM/538ODBJioUToSIVrAUYRUi\n",
       "wAksQ4gUph/EWGH8YTIDTKJgE2IqY6YjuLghYDb8JaYFRLQsRMpC1CvkYV3AkyZNMlG24Prt3r27\n",
       "jB8/3mQHixSBNzAPMGZLQko19zC2YepDRLPC7E04N6ZErEiqX7++7LrrrmZWJhzHOYMrQo/7BkbA\n",
       "xjmyQhxYxsyoKAggElZ1SGodOTobT8ZV1d1VgrP79+qrGRfH7KiWnKPhFh2Noxz3p0Jqtg8YMMA5\n",
       "/PDDHW0ndtTV66jYOuedd57Zds899zgaccpRV66jEyeYdRo72dGQlY5O1ODMnDnTHItzIKnIOhrW\n",
       "0VEL0lFhd7CvTtTgaPQsp06dOo5a4Y6KoqPzDjsa0tJ5/fXXHZ3lyNFJGByNxezodISOtrs6GunK\n",
       "UVF3NO6zo7MUOW+88Yajk0OYT51pyRynsaYdfTlwVDDNvho9y9FAII7O+WvOd8sttyBam6NTI5qy\n",
       "Jf7TNmVHpyI0eSJ/DXXpaIhMB/mjvDb17dvX0bCn9qujMyw5+rLifucCCQRNoGzxYmer1HG2331f\n",
       "0Fkzv4AI4JmqxkZAuVUsG7qgU7xGaWQyDYOZYmMAq2voFLw6mVCFE0JLqtjFHTdw4EBjgWL6PRUg\n",
       "Y3lih5tuuklUlM08v/iO+M+wVpEwXy/iKKNzk416hUkVED8a7a2Y0KBfv37meOz/4IMPioq0YHpC\n",
       "tD9jFiXkgQ5PiOm8ePFiM6GDirNpj+3YsaOo+JvZlRBZCwnRt2CZ4nu6uYdhmaNzFMqPY26//XZB\n",
       "R6t0CXVBGzn4IPwlYlN///33Jv61PQ6TNXDOYEuDnzkhQAs4J5gL9SQU4BRXTvsL6UxBKTbmcTUm\n",
       "WfBrA8b0fhAr75SEv/zlL9WGd2TJkiWmxHDJ2gRxwry8Q4cOjYvTDHczZj+aPXu2mabQ7o/pBfvE\n",
       "3kjQyQniinwxAQJmNYJg4vyYLAKzNqGtGtMSYsYitWDjzoE80809jKkU4fpGfkiYNMI7f7BZmfDv\n",
       "kUceMW3AKAdc788++6xxqXt345zBXhpczgmBmACreygnp+NJCosABbiwrlfK0kI4IbYQ4kMPPdTs\n",
       "N336dIFFurvOwYvkncvXWr1oh1W3tdmOdlZM0NC8eXPBpPbeTlOYXhBzDqOtWN3Z8s9//lN69epl\n",
       "8uzatasRYLQDY3IFWOFr16417b+YEQki7e0ghZNBnFFOWNs2YWrCNm3amI5TsJC9KdM5gzHpA/JE\n",
       "2TC3MYZuWSH3zhmM4UicM9hLmMtZIaAvhCZRgLOCt9AzZSesQr+CsfJDgA9RnzbEB52xVq1aJY8/\n",
       "/rgRV7/ZhiCUGBYE1zL2heV43XXXmSkEIVj9+/cXdLaaO3euEXYMf4LlC5HGsbBIIegQYgz90XZd\n",
       "sw1W98SJE00HrZNPPlnQGcu6oLEMgce50s09jBcCWNWwYvFSAYvfWvGZXC6cDy7pqVOnuu53exzc\n",
       "0Jwz2NLgZ9YJxCxgdTdl/VQ8QeERoAVceNcsZYkRbAKuYQy/gTiix7Ptcex3ECza888/3+yPeXT3\n",
       "3ntvM88u9kXPY1jAPXr0MBYxtqEdFu29mM8X54AQo8c12qDhsobAwhV84403mrZmCDss4COPPNKc\n",
       "HlNCnnHGGXLHHXeYOYRTzT2MnVFuuK/xUgCrGHWpSEIPbJQDPb9POeUUkweOhzXOOYMrQpL7VokA\n",
       "BbhK+Ir94NDMB5xt0MU4H3AqZqtXrzbtpujwlEmCexlWLwQ0MaGjFTpFJUaQgpWNtll0wvJLaEdG\n",
       "u7G1fu0+GOYEt7h1h5c39zCGS1l3uc2DnyRQKAQcbVbZ3mlviQz9jdR48P5CKXa1KifnA65Wlzv7\n",
       "lYWFV5EESzZVgljiLzFBXNMltCP7pUTBhkCnE9h02/zy5zoSCBUBWsChuhxhKwzbgMN2RVgeEiCB\n",
       "4iHgCnCsM1bx1Iw1CYAABTgAiMyCBEiABHwJlCGGjCZ2wopy4P84AhTgOBz8QgIkQAIBErAWsGe2\n",
       "rgBzZ1YFToACXOAXkMUnARIIMQErwLSAQ3yR8lc0CnD+2PPMJEACxU6AgTiK/QpXqX4U4Crh48Ek\n",
       "QAIkkIYALeA0cLiJAsx7gARIgASyRYACnC2yRZEvBbgoLiMrQQIkEEoCFOBQXpawFCq0AoxISnaS\n",
       "97DAYjlIgARIoEIE2AZcIVzVbedQCLBOnm6C/gM+Zr058cQTTaxhTDBw9dVXC8IVMpEACZBAwRGg\n",
       "BVxwlyyXBQ6FAM+aNcvEG0bF7733Xtlrr73M7DcffvihLFy40KzLJRSeiwRIgAQCIUABDgRjsWYS\n",
       "CgH2wsUUeLfffrsJ/r/HHnvIXXfdJVOmTPHuwmUSIAESKAwCdEEXxnXKUylDI8CwdpcuXWqmncM0\n",
       "djZhSryePXvar/wkARIggcIh4FrAjAVdOBctdyUNxXzA5557rrz++uty5513ytq1a6Vu3bry/PPP\n",
       "G0v40Ucflbfffjt3RHgmEiABEgiKgCvA24PKkfkUEYFQCPDQoUMFf0jfffedsYSxfNxxx8kNN9wg\n",
       "DRo0wFcmEiABEigsAnRBF9b1ynFpQ+GC3rJliwwbNsz0fO7QoYP07t1bMJn8pZdeKuPGjcsxEp6O\n",
       "BEiABAIiELOAHcaCDghocWUTCgv4mmuukWXLlsnEiROlY8eORnxLS0tl9uzZMmTIENm0aZMMHjy4\n",
       "uMizNiRAAsVPgC7o4r/GVahhKCzgyZMny5gxY6R79+7G3RyJRKRx48bGEh41apSMHz++ClXkoSRA\n",
       "AiSQJwJ0QecJfGGcNhQC3K1bN3n33Xd9iU2YMEGaN2/uu40rSYAESCDUBKwFzPmAQ32Z8lW4ULig\n",
       "R4wYIeecc46MHDlSOnXqJI0aNTK9oefMmWPCUU6aNClffHheEiABEqg8ASvAbAOuPMMiPjIUAoxx\n",
       "vjNmzJBp06aZyFdoD4bVi3bfPn36CFzSTCRAAiRQcATogi64S5bLAodCgFFhjP3t27evsXjXrVsn\n",
       "TZo0ySUHnosESIAEAifg0AIOnGkxZRgKAcYwJISffOaZZ2Tx4sWCm7ZevXqCIUkYH3zxxRdnxPyJ\n",
       "J56Q5557znffmTNnmvCWvhu5kgRIgASyQYACnA2qRZNnKAQ4qGFIl19+ueDPL51wwgmCKQ6ZSIAE\n",
       "SCBnBCjAOUNdiCcKRS9oDkMqxFuHZSYBEiiXgNsGzFjQ5bKqhjuEQoA5DKka3nmsMglUBwK0gKvD\n",
       "Va50HUPhguYwpEpfPx5IAiQQZgIU4DBfnbyXLRQCzGFIeb8PWAASIIFsEHBd0JwNKRt4Cz3PUAgw\n",
       "INphSIlA582bJxs3buScwIlg+J0ESCD8BJxYERmII/zXKg8lDEUbcLp6Yzak0aNHp9uF20iABEgg\n",
       "nATogg7ndQlJqUJjAafiMXz48FSbuJ4ESIAEwk2ALuhwX588ly50FvA2DVq+evXqPGPh6UmABEgg\n",
       "AAK0gAOAWLxZhEKAEQlr2LBh0r59e6ldu7aJWFW/fn3B8KSxY8cWL33WjARIoLgJUICL+/pWsXah\n",
       "cEEHFQmriix4OAmQAAkES4Au6GB5FlluobCAGQmryO4qVocESCBKwFrAnA+Yd4QPgVAIMCNh+VwZ\n",
       "riIBEih8AlaAOQyp8K9lFmoQChc0I2Fl4coySxIggfwTsC5oOx44/yViCUJEIBQCzEhYIbojWBQS\n",
       "IIHgCFgLWHN01A0dqRmKR25w9WNOVSIQmrshVSSsKtWOB5MACZBAPgl4BFjghqYA5/NqhO7coWgD\n",
       "Dh0VFogESIAEgiCQKMBB5Mk8ioYABbhoLiUrQgIkEDoCtg0YBWNHrNBdnnwXiAKc7yvA85MACRQv\n",
       "AVrAxXttA6gZBTgAiMyCBEiABHwJUIB9sXBllAAFmHcCCZAACWSLAF3Q2SJbFPlSgIviMrISJEAC\n",
       "oSRACziUlyUshaIAh+VKsBwkQALFR4ACXHzXNMAaUYADhMmsSIAESCCOAF3QcTj4JZ4ABTieB7+R\n",
       "AAmQQHAEaAEHx7IIc6IAF+FFZZVIgARCQiBOgMtCUigWIywEKMBhuRIsBwmQQPERoAu6+K5pgDWi\n",
       "AAcIk1mRAAmQQBwBrwXMOYHj0PCLCAWYdwEJkAAJZIuAV4AZijJblAs2XwpwwV46FpwESCD0BOiC\n",
       "Dv0lymcBKcD5pM9zkwAJFDcBWsDFfX2rWDsKcBUB8nASIAESSEmAApwSDTewDZj3AAmQAAlkjwAF\n",
       "OHtsiyBnWsBFcBFZBRIggZASKHN2FIydsHaw4JIhQAHmjUACJEAC2SLgsYAdCnC2KBdsvhTggr10\n",
       "LDgJkEDoCXgEWCjAob9cuS4gBTjXxHk+EiCB6kOAw5Cqz7WuRE0pwJWAxkNIgARIICMCcRYwY0Fn\n",
       "xKwa7UQBrkYXm1UlARLIMYE4Ad6e45PzdGEnQAEO+xVi+UiABAqXAF3QhXvtclDy0Arwpk2bpLS0\n",
       "NAcIeAoSIAESyBIBWsBZAlsc2YZWgF9++WW5/vrri4Mya0ECJFA9CVCAq+d1z7DWNTPcL6u7denS\n",
       "RVauXBl3ji1btsg2nb4LQty/f38ZO3Zs3HZ+IQESIIHQE6ALOvSXKJ8FDIUAQ1wHDRok5513nlx4\n",
       "4YWGx/jx42XatGly//33S/369fPJiOcmARIggcoR8FrAnA+4cgyL+KhQuKAPO+wwmT59unz99dfG\n",
       "7QzBbdasmTRo0EB22203s1zE14BVIwESKFYCXgFmII5ivcqVrlcoLGCUvlGjRvL000/LSy+9JH36\n",
       "9JFevXpJjRo1Kl0xHkgCJEACeSdAF3TeL0GYCxAKC9gL6LTTTjMijDbhVq1aeTdxmQRIgAQKiwAt\n",
       "4MK6XjkubSgsYHS4uv322+WZZ56RxYsXi6M3bb169eTbb7+VTp06ycUXX5xjLDwdCZAACVSdAJ5l\n",
       "bqIL2kXBhSiBUAjwNddcI8uWLZOJEydKx44dTacrjAGePXu2DBkyRDAmePDgwbxmJEACJFBYBCjA\n",
       "hXW9clzaULigJ0+eLGPGjJHu3bubjleRSEQaN24svXv3llGjRgl6RDORAAmQQMERiGsDZizogrt+\n",
       "WS5wKAS4W7du8u677/pWdcKECdK8eXPfbVxJAiRAAqEmQAs41Jcn34ULhQt6xIgRcs4558jIkSNN\n",
       "my96RK9du1bmzJljgnFMmjQp35x4fhIgARKoOAEKcMWZVaMjQiHAPXv2lBkzZpjAGwsXLjTtwbB6\n",
       "0e6LIUlwSTORAAmQQMERiHNBczakgrt+WS5wKAQYdaxbt6707dvXWLzr1q2TJk2aVLjq6HEY1+vQ\n",
       "k0Oq9Z5duEgCJEACwRKABVxT4xlsU/FlL+hg2RZBbqEQ4FTDkDp06CBDhw7NeBjSX/7yF3n++ed9\n",
       "L8tnn31WKVH3zYwrSYAESCATAhDgEnS1oQBngqu67RMKAQ5qGNKll14q+PNLJ5xwgqxYscJvE9eR\n",
       "AAmQQHYIwAVdq5bI1q3i0ALODuMCzjUUvaA5DKmA7yAWnQRIIDUBWMDow4KwuhTg1Jyq6ZZQCDCH\n",
       "IVXTu4/VJoFiJ0ABLvYrXKX6hcIFzWFIVbqGPJgESCCsBOCCRhswLeCwXqG8lisUAsxhSHm9B3hy\n",
       "EiCBbBHwWsCcDzhblAs231AIMOjZYUiJJOfNmycbN24UiDQTCZAACRQUASvANfVRyzbggrp0uShs\n",
       "KNqA01V03LhxMnr06HS7cBsJkAAJhJNAWWwYknFBMxZ0OC9S/koVGgs4FYLhw4en2sT1JEACJBBu\n",
       "AtYCZhtwuK9TnkoXOgt4m7aTrF69Ok84eFoSIAESCJAABThAmMWXVSgEGJGwhg0bJu3bt5fatWtL\n",
       "06ZNzZzAGJ40duzY4qPOGpEACVQPAhTg6nGdK1nLlC7oP/7xj2ZGogsuuEAQEjKbKahIWNksI/Mm\n",
       "ARIggQoT4DCkCiOrTgektIBPPPFEwaQIhx12mBxxxBHyt7/9TdavX58VNoyElRWszJQESCDfBGgB\n",
       "5/sKhPr8KQW4S5cu8uCDD8qiRYvklltukffff1+6du0qF110kXz00UeBVoqRsALFycxIgATCQsAV\n",
       "YH3UchhSWK5KaMqR0gVtS/jTTz/JV199Zf5q6li2XXbZRYYMGSK77767vPDCC3a3Kn0yElaV8PFg\n",
       "EiCBsBKgCzqsVyYU5UopwFOnTpX77rtP8HnSSSfJbbfdJv369dOoaiVSpjdV27ZtZeHChUaIq1oT\n",
       "RsKqKkEeTwIkEEoCrgXMyRhCeX3yXKiUAjxz5kw5/vjj5bnnnpPGjRubYm7atEmWLl1qOmWhdzJE\n",
       "OKiUKhJWUPkzHxIgARLIOQEKcM6RF9IJk9qAMSQIQgu3c6dOnaROnTrmO9aNHz9err76alO/4447\n",
       "Tqe51HkumUiABEiABPwJ0AXtz4VrDYEkC/ivf/2rDB482Gx8+OGH4zA1bNjQuKXjVvILCZAACZCA\n",
       "PwFawP5cuNYQSLKAr7jiCtm6das89NBDMm3aNLOM74hQVVpaKldeeSXRkQAJkAAJZEIgToAZCzoT\n",
       "ZNVpnyQLGJVHb+frr7++OnFgXUmABEggeAJ0QQfPtIhyTBLgXr16yQMPPCAffvihbxhIdMwaNWpU\n",
       "ESFgVUiABEggSwSMBax5YzIGzgecJciFm22SAD/xxBNmaBE6YB1zzDFJNWvSpEnSOq4gARIgARLw\n",
       "IRBzQUfUq+hoUx4TCXgJJAlwjx49zHYMPWrXrp13Xy6TAAmQAAlUhIDXBa0jSZhIwEsgSYD79Okj\n",
       "a9as8e4TtwyrGCEqmUiABEiABMohENcJa3s5O3NzdSOQJMAQV/R6TpWaNWuWahPXkwAJkAAJeAm4\n",
       "AsxY0F4sXI4SSBJgTA3ITli8PUiABEggAAKuADMUZQA0iy6LJAFmJ6yiu8asEAmQQL4IeNuAORtS\n",
       "vq5CaM+bJMC2ExYmXWjRooXUrl3bLbyNBe2u4AIJkAAJkEBqArSAU7PhFkmKhGVjQQ8fPlzefvtt\n",
       "Nw50YixosiMBEiABEiiHAAW4HEDVe3OSBcxY0NX7hmDtSYAEAiRAF3SAMIsvqyQLuLxY0BdffHHx\n",
       "UWCNSIAESCAbBOIsYMaCzgbiQs4zyQJGZRAL+oILLhCI8fz582W7dh4o0zc5uKEPPvhgM0dwIVea\n",
       "ZScBEiCBnBCIE2COA84J8wI6SZIFbMs+cuRI2bhxo1x22WUmItaIESOkUaNGMmzYMLsLP0mABEiA\n",
       "BNIRoAs6HZ1qvy2lAC9YsECGDh0qF110kSxevFhOP/10MzkDpilkIgESIAESyIAALeAMIFXfXVIK\n",
       "cNu2bWXRokXSoEEDQc/oVatWSdOmTc266ouLNScBEiCBChBwdN9IJDobEscBVwBc9djVtw0YVb/k\n",
       "kkukd+/e0rlzZznllFPkpJNOMkJ8xhlnVA8yrCUJkAAJVJUAXdBVJVjUx6cU4L333lvmzZun01jW\n",
       "MEL8+OOPy8477ywDBw4saiCsHAmQAAkERsB1QauzkfMBB4a1WDJKKcCoYKtWrdx6Xn311e4yF0iA\n",
       "BEiABDIgYAVYR5bocJIMDuAu1YlAkgBzOsLqdPlZVxIggawSoAs6q3gLPfMkAQ7LdIQYe7xhwwYz\n",
       "9KnQIbP8JEAC1ZSAtYC1KY8WcDW9B9JUO0mADzrooLjd0fv5hx9+kC5duki9evXitgX1BfMPQ/gR\n",
       "9AOu7q+++sp8/vTTT9K/f395/vnnpU6dOkGdjvmQAAmQQG4IUIBzw7lAz5JyGBIsUISdbNasmRx5\n",
       "5JHSsGFDGTBggGzevDnwqt54440yZcoUadmypZx55plyxx13yMsvv2wEeZt2XBg/fnzg52SGJEAC\n",
       "JJBtAo4KcMQOQ4I7mokEPARSCvCYMWPk66+/ltmzZ5sxwLBOcTPdf//9nsODWZw0aZKMGzdO7r33\n",
       "Xjn//POlX79+cvjhh0unTp3krrvukmeffTaYEzEXEiABEsglgVgbcAQuaB0T7FCEc0k/9OdKKcAf\n",
       "ffSRwDLt2rWrqUTHjh3l1ltvlffeey/wSiHvuXPnmnwvvfRSE4fanuSLL74wY5Htd36SAAmQQMEQ\n",
       "8LqgUWj2hC6YS5eLgqYU4EMOOUSmTp0aVwZ8b968edy6IL5cf/31cuqpp8prr70mbdq0EdsOjbjT\n",
       "CIc5aNCgIE7DPEiABEggtwQowLnlXWBnS+qEZcuPiFf77ruvsXgPO+ww+fTTT+Wzzz7LigV8zDHH\n",
       "mKAf6PXsTSeffLIMHz48a52/vOfiMgmQAAkETsA7DAmZ0wIOHHEhZ5jSAt5ll10E7t/zzjvPTEV4\n",
       "4oknyqxZs2S//fbLSn0x01Lr1q01WMw2Wb16tTkHQmFmq+d1VirBTEmABEjAS4AWsJcGlxMIJFnA\n",
       "mPXotNNOM38Q4WuvvTbhkOC/YrKH22+/XZ555hkz8xI6e0F4O3ToYFzQ6I3NRAIkQAIFR4ACXHCX\n",
       "LJcFTrKAjz/+eHnkkUcEsyH95je/MVZwtgt0zTXXyJdffikTJ06U0tJSY3EvWbJEnnzySUEM6sce\n",
       "eyzbRWD+JEACJBA8AeOCxmxIsUctXdDBMy7gHJMEGLMgTZs2TT788EMzFSFcz7169TJiuG7duqxU\n",
       "dfLkyYJhT927dzfnxLi5xo0bm0kgRo0axXHAWaHOTEmABLJOgBZw1hEX8gmSBNhWZs8995S7775b\n",
       "Fi5caD7/85//CGZIeuihh+wugX1269ZN3n33Xd/8JkyYkJWe174n40oSIAESCJIABThImkWXV1Ib\n",
       "cGINS0pKpH79+iYmc02d0WP9+vWJu1T5+4gRI+Scc86RkSNHmuAb6JC1du1amTNnjumUhUAdTCRA\n",
       "AiRQcATYC7rgLlkuC5xSgBGPGRGo8AfhhWsawTkQLjLo1LNnT5kxY4ZxfcPiXrZsmbF6Bw8eLJid\n",
       "yYRyC/qkzI8ESIAEsk0g0QLmnMDZJl5Q+ScJMDo8jR071oSgHDhwoDz11FNy6KGHZr1SdevWlb59\n",
       "+xqLF23NTZo0qfA50YErVTv1pk2bdAge5+OsMFQeQAIkUHkCVoDViDGJz6DKsyzCI5MEGG2ul112\n",
       "mZx11llmAoZc1DmoYUj/+te/5PXXX/ctMkJdNmjQwHcbV5IACZBAVggkuaA5IUNWOBdopkkCjKFA\n",
       "uU4YhgS3M86NuNBoc4Y1i4kghgwZIrBe4Y4uL2EmJfz5pRNOOEFWrFjht4nrSIAESCA7BKwFjMkY\n",
       "kGgBRznwvyGQshd0LvlwGFIuafNcJEACOSNAAc4Z6kI8USgEmMOQCvHWYZlJgATKJUABLhdRdd4h\n",
       "yQWdDxgchpQP6jwnCZBA1gkktQGzI2jWmRfQCZIE+Mgjj5Q1a9akrMLRRx8t999/f8rtldnAYUiV\n",
       "ocZjSIAEQk+AFnDoL1E+C5gkwIh+hRmJ5s+fL3fddZdceeWVgrmB0SFq9OjRArHMRrLDkBLznjdv\n",
       "nmzcuDFr5008H7+TAAmQQGAEXAGOtfaxE1ZgaIshoyQBxhSASM8//7zccccdcv7555vvEGGEooRA\n",
       "Y4hSrtK4cePku+++M7Goc3VOnocESIAEAiFQ5ohoNEFhL+hAcBZbJkkCbCvYsGFDEwfafscn5gNu\n",
       "1qyZd1XWl4cPH571c/AEJEACJJAVAq4FzGFIWeFb4JmmFOBBgwbJcccdJ2+88YYcdNBB8umnn8o3\n",
       "33wjCNSRzQT3d2UjYWWzXMybBEiABCpMICbAkZgF7KgLWicnZCIBQyDlMCTMhvTxxx/LRRddJJs3\n",
       "b5azzz5bPvnkE9lvv/0CR4dIWMOGDZP27dtL7dq1pWnTpiYYB4YnISwmEwmQAAkUJAH2gi7Iy5ar\n",
       "QqcU4DK9cZ544gl55JFHZOrUqSZCFTpkZSOaFCJhffnllyYSFiJg4dxLliwx7b6PP/64ID41EwmQ\n",
       "AAkUHAG6oAvukuWywCkFGOL7zjvvyCuvvGLKg+FJbdu2NaIcdAEZCStoosyPBEggFASSBJixoENx\n",
       "XUJSiJQCDKv3hhtukDZt2pii1qpVy8RlhigHnRgJK2iizI8ESCAUBOiCDsVlCGshUnbCQnssRPiI\n",
       "I45wy/7aa69J69at3e9BLTASVlAkmQ8JkECoCCRawJwPOFSXJ9+FSSnA1113nRx44IHy5ptvytKl\n",
       "SwXjgxcuXChvvfVW4GVmJKzAkTJDEiCBMBCwAsz5gMNwNUJXhpQC3LJlSxP96sUXX5RFixbJ4Ycf\n",
       "bv5qlrMkRAAAQABJREFU2AHlAVclVSSsgE/D7EiABEggdwTogs4d6wI8U0oB/uc//2kmsL/kkkvc\n",
       "an3xxRfy6quvyq233uqu4wIJkAAJkEAKAtYCRjQsJE8oyrJHH5OyP/5Jas7/MrqN/6sdgZSdsKZM\n",
       "mSInn3xyXAhITNKAaFhMJEACJEACGRCwAlwzORKWs/A7kW+/zSAT7lKsBFIKMCo8cuRIMw74pptu\n",
       "MmNzixUC60UCJEACWSFgBdg23XksYGMNb+ewpKxwL5BM0wowhiB98MEHMmPGDDn99NNNRKwCqReL\n",
       "SQIkQAL5J5CuDTgmxs7Wrb7lLPvDKCl749++27iyOAikFWBUsVGjRjJp0iRp3LixID40EwmQAAmQ\n",
       "QIYE0lrAMes3xdCkspEPi/PsCxmeiLsVIoGUnbD69esnnTp1MnVCEA7EZL7nnntk06ZNhVhPlpkE\n",
       "SIAEck/ACLCeNpULGiVKIcDGRc3nbe6vWQ7PmFKATzzxxKRiYMIEJhIgARIggQwJZOCCpgBnyLII\n",
       "d0sS4F69eskDDzwgH374oe9MRMcff7yMGjWqCFGwSiRAAiQQMIEkF7Sn05W1fFO0ARsLePOWgAvE\n",
       "7MJEIEmAMQnD7rvvbtzPxxxzTFJZmzRpkrSOK0iABEiABHwIJAnw9h072R7RVoh3bIku6XqHLuhE\n",
       "KkX1PUmAe/ToYSqITlft2rUrqsqyMiRAAiSQUwJ0QecUd6GdLEmA+/TpIwi4kSrBKn7wwQdTbeZ6\n",
       "EiABEiABS6AqFjAs5M2bbU78LEICSQIMcd2aqk1CATRo0KAIMbBKJEACJJAFAhkJsMct7S0CBJgu\n",
       "aC+RoltOEuCDDjrIVHLlypVyxRVXyPz587UvwHYTCQtDkA4++GB57rnnig4EK0QCJEACgROwLmif\n",
       "WNCmkxVOmMrgQdvwJlrAgV+TEGWYMhAHwlBu3LhRLrvsMtMWjDl7EZSDQ5FCdPVYFBIggXATiFnA\n",
       "kUhEpCQijrfDVXmdsMocWsDhvrpVLl1KAV6wYIEMHTpULrroIlm8eLEJRYlgHA899FCVT8oMSIAE\n",
       "SKBaELAuaFRW5wR+6YuuMnlyrOZpBNix29gGXNS3SUoBbtu2rZkHGG2+W7ZskVWrVknTpk3NuqIm\n",
       "wsqRAAmQQFAErAsa+Wk0rBFT++oEN7HMt8Xafr1WsT2vFWC2AVsiRfmZ1AZsa4l5gHv37i2dO3eW\n",
       "U045RU466SQjxGeccYbdhZ8kQAIkQALpCHgtYBXgdVtq7+jYbEXWT4DtOjV+mIqXQEoB3nvvvWXe\n",
       "vHn60lbDCPHjjz8uO++8swwcOLB4abBmJEACJBAkgQQBXr+pjhoysROkE2C7TZuBHXVDR+rUCbJU\n",
       "zCskBFIKMMrXqlUrU8xly5aZHtE1tQ2DiQRIgARIIEMCKqCCDlhIasxs3FrLFWDbzovpCGN7RPfD\n",
       "fyvAWIYbmgIMEkWXUrYBl2nbxV133SXdu3eXo48+Wt5++23p37+/rFixouggsEIkQAIkEDQBB9av\n",
       "pkhsCNKmknqytaymK8CuyFp3s7cAiQLs3cbloiGQUoARE/qdd96RV155xVT2yCOPFHTMwnomEiAB\n",
       "EiCBcgjEBNhawOtLGpoDkl3QPoE4vKLMntDlgC7czSkFeOrUqXLDDTdImzZtTO0wJ/CQIUOMKBdu\n",
       "dVlyEiABEsgRgUQBjqQSYA24kZjiLGAG40jEUyzfUwpw+/btBSLsTa+99pq0bt3au4rLJEACJEAC\n",
       "fgQwBAkp5oJeHxNgN/CVFVmvtRs9IrkN2K7nZ1ERSNmr6rrrrpMDDzxQ3nzzTVm6dKnpCb1w4UJ5\n",
       "6623cgoAYTC36Q1ah50QcsqdJyMBEqgigfIsYCu8riJ7zmfFGavogvaAKa7FlBZwy5YtZfbs2TJ4\n",
       "8GC56qqr5O6775YffvhB9tlnn8AJfP/993LBBReYiR7Q4evrr792zzFu3Dg5//zz3e9cIAESIIGC\n",
       "IJAgwBsi0YlsktuAfVzQVpxRUQbjKIjLXZlCprSAkRmiYCEgh03o1ffpp5/KAQccYFcF8om403Bt\n",
       "T58+3Uz0gCkRp0yZInvssUcg+TMTEiABEsg5gQQX9DqpSBtwzH2thXZUgJOGKeW8MjxhNggkCTAm\n",
       "YLj11ltl1qxZMmDAALn00ku1E19E5s6dayZmQKesF198MdCyTJo0SWbMmCE77bSTYNIHBAE59thj\n",
       "5YMPPgj0PMyMBEiABHJGIMECXi/1zakzsoDjXNA2ckfOSs4T5YhAkgsabb8YfgRXMOYGRhvwSy+9\n",
       "JPvvv78ZhvTwww8HXjQILqxfm8466yy55ppr5PjjjzcxqO16fpIACZBAwRBIEuBEF3TMyvW6m23l\n",
       "vAJMF7SlUnSfSRbwtGnTZMyYMabTFdp7b7zxRlm+fLk8++yz8qtf/SorADDvMGJMQ/xvvvlmc47r\n",
       "r79e1q1bZ9YhAAgTCZAACRQUgQQX9HonagFDb402W5HdyjbggrquARY2SYDR47lnz57mFJ06dTId\n",
       "seAe7tatW4Cnjc/qmGOOEUx/+M0338RtuO222+Twww832+I28AsJkAAJhJ1AggW8IeaCRrHhhq5h\n",
       "BZgWcNivZNbKl+SCRkerkti4NcR+3nXXXbMqvrZm9evXl3333dcMOVq9erVdLUcccURcRzB3AxdI\n",
       "gARIIMwErAUciwW9rizqgkaRTTuwFV776a2Ld13CMCTni1myrXcfcRgW2EusIJeTBBi1WLlypfn7\n",
       "6aefTKXsd3zCLRx0wnzDw4YNEwT/qF27tpl3GIIMq3vs2LFBn475kQAJkED2CVgL2AbicOq55zQC\n",
       "nM4CtuKNIzbFR8Jyvpwt8tEnIt8tcvPjQmESSHJBoxqI+exNzZs3d7+irRadsoJM6HCFGZcmTpwo\n",
       "HTt2FIhvaWmpcX8j/OUm7YSA8chMJEACJFAwBKwAx8YQ2TZglL9cAfZawImdsH7+OYrAu0/BQGFB\n",
       "vQSSBPjbb7/VDgLRWTy8O9plxIQOOk2ePFnQ+ctOf4j8GzdubDqCjRo1StAWTAEOmjrzIwESyCoB\n",
       "+xyNuaA3lO3kns4rwI6PkNqpCnEA5gOOS1aA/SJoxe3IL2EnkOSCbtiwoTRq1CjlH8bqBp3gan73\n",
       "3Xd9s50wYYJ4LXDfnbiSBEiABMJGIEGA15elcEH7Cal1T6NOSRawzg+syU+4zYYq/kPgj7JnnxfM\n",
       "U8yUXQJJFnB2T+efO4JvnHPOOYKIWOh5jReAtWvXypw5c0ynLATqYCIBEiCBgiJg23FjbcDrtqcQ\n",
       "YB8L2J0rGBVOaAN2BdnvuAAAOe9PlbLzLpaSFs0lcvRRAeTILFIRCIUAY9gThjrBDY0JH9AeDKsX\n",
       "bmeEpUQkLiYSIAESKCgCiRbw9p2kZmSbbHNqZtAG7JkjOMEF7VgX9DbPPkGC2RyLvDVzlggFOEiy\n",
       "SXmFQoBRqrp160rfvn2NxYue1k2aNEkqbHkrFi9ebGZu8ttvzZo1spUuFT80XEcCJJANAkkCXFea\n",
       "1iiV5duaugL8g7SVf312kCR1MU3rgo51wsrW8yxmWWO4E1N2CYRCgDEM6fbbb5dnnnlGIKLoBFav\n",
       "Xj3p0KGDDB06VC6++OKMKHz++ecp25IRYAQiz0QCJEACOSGQ4IJev20naV1juRFgo50qsuNkgNw0\n",
       "ZaAMWC7SooWnVGkFONoGrNaK54AAFynAAcJMn1UoBDioYUgnnHCC4M8vffnll7KCA9f90HAdCZBA\n",
       "NggkWMAbtteRprXXmjNt3qRxoHWwyTppZL7/+GMKAa6lj+gEF3S224BdYZ89R9AbO1KjRjboME8l\n",
       "kNQLOh9UMAwJ8ae7d+9upkBEm693GNL48ePzUSyekwRIgAQqT8AjwNBQtP02KYkK8BYIsKbSmAAn\n",
       "2QbWutXhmLJ+Q3wZbBtwtlzQNl90/vp6Qfy5+S1QAqEQYA5DCvSaMjMSIIEwEPC4oG0AwV1KomF2\n",
       "rQCvk2h4Sp3vJj5ZF3TLFskhJ60AW5GOP7Lq3zz5OnPmVj0/5pCSQChc0ByGlPL6cAMJkEChEvBY\n",
       "wOvXRyvRtGSNWdghwA3N91QCHGnVSpJE8OfctAGbgmnnVabsEQiFAHMYUvYuMHMmARLIEwEfAW4S\n",
       "qZgAi1rAMvWDuAogUIZJ1lUctzWALx4LWIP/B5Ahs0hFIBQCjMLZYUiJBZ03b55s3LjRnSIxcTu/\n",
       "kwAJkEAoCXhc0K4FLDEX9OZouN91ErWAU7YBt2qpgaO3iqOx8SMaoMikrLugPeOLSynA2by3QtEG\n",
       "nK6C48aNk9GjR6fbhdtIgARIIHwEfCzgphKdYW5LggCnc0GbinkV2hVgj1AGWXtrAWv8I4cWcJBk\n",
       "k/IKjQWcVLLYiuHDh6faxPUkQAIkEF4CHgG2OraLs8qUd0cbcDmdsGABI63U4zRMr0m2DTjbLmhY\n",
       "3OtijdfRM/N/wARCZwFv07ev1aujbpqA68rsSIAESCB3BMpis8ppLGjrgm4iMQEu1wKODlMybcBa\n",
       "YmfFyh3ltm3A1lLdsSWYJZsvohHaN4dgcmYuCQRCIcCIhDVs2DBp37691K5dW5o2bWrmBMbwpLFj\n",
       "xyYUmV9JgARIIH8E3FjM5RTBmTsvuofGNbAC3LQs3gVd3jhg9II2aaVHgF0XdJYiYVnLusnOOlC5\n",
       "tJxacnNVCIRCgBEJC5GqJk6cqNe7VMq088KSJUvkySeflMcff1wee+yxqtSRx5IACZBAIAScVatk\n",
       "+84tpOyV8Wnzc957X8pOPT26j1eAnaiQfjKjlrwgA2WL1JF6JT/r7G8JAa+sFYpe0EheC1g7pSJV\n",
       "ZbrA7ZdfKWX/eMXkk/jPTHNYo0QiCAJCF3QinkC/h0KAGQkr0GvKzEiABLJFAG2x2itZknpNxZ/Q\n",
       "8fYeVgGOenIdabh9rSCy4/jJ9WWQ/Nkc1LHOEvPp7WelVkg0w53VCq1bRxyvBWxDU1qRjj91Rt+c\n",
       "cS+L8+bb/vsi35raPahhA3bC8icU2NpQCDAjYQV2PZkRCZBANgnErM+4+Xr9zmdFEttibcD1am2V\n",
       "SNl2bWaLHrBVogsda39vVsRpuo2EBbVu1sy1gB3kG2tadmM2R7Or2H/kb9uSE490Bbgh24AT2QT8\n",
       "PRS9oBkJK+CryuxIgASyQ8C2v26PWaipzqL9WtwUc0E3rK3iuUUFuJ6IzQb7dK61yOwaZwFb6xYC\n",
       "3FwF2FrA3gPtPu6JKrCAY70vCd5DvQLsteS9+3A5EAKhEGBGwgrkWjITEiCBLBNwrAVcnvh5Bbhx\n",
       "I9MJq0FtdV3/vMMCtkXtWDMqwF4LGLMQSUlEMDFNRC1gtxe0V4C3VqETVloB1nPDBd2IFrC9Rtn6\n",
       "DIUAo3KpImFlq+LMlwRIgAQqTGDjz9FDrIs4VQYx67LGzOkS2bebrH9YpEEdtYp1aJJ1QdtDO5Z8\n",
       "Zxa9Amxc3HYaQFjA3y6M7h4T4E3aeWvsZ73l4vWab3Qosc0us8+0AhxtA440bCjOhg1mfna8CDAF\n",
       "TyAUbcDBV4s5kgAJkEAWCFgLtDwBthZw2zamEBiGZCxg/Varlm3EjZavjSxRAyShXxfytwLcbBdt\n",
       "A14R3RlTBGr6WHrJtR8MlKlTo6sr8t9BgBAUIZZX0rFeFzTGMqsIM2WHAAU4O1yZKwmQQDESyNgF\n",
       "re5mpJi5CwFuWDe6LtECblhWKi10tJHVWHOcFUH9EmneXGRtaXTYUewF4EeJDk+q1DBd5K3JdOgy\n",
       "Swn/MA441gvabKnUSRLy5FdfAhRgXyxcSQIkQAI+BCpqAcfUFsOQGtSJCXDMAq4vqsqaGpatNQKc\n",
       "0gUNCxgJHbESBDg6vCm6OeP/MQFO2wmrVi0tmLYBI3EscJRDFv5TgLMAlVmSAAkUKYFYG7AJVpGm\n",
       "iq51CSHTZFzQdaOWZ+2YAB8g/zPbGm5fIzBy4wVYe1lbFzQ2IukYZBuFa0XMAq6SAKcdhqS9r9EJ\n",
       "C6lSJ4keyv/pCVCA0/PhVhIgARLYQcC6oDNpA65dy/RixsF+Any0vCm71loqNbdvTmsBR2IWsAMf\n",
       "dazd1rqgK6WNtuybPUOldtRQzPhidUGjExYSZ0Tywgl2mQIcLE/mRgIkUMQErAVabiAOdMLyNPbG\n",
       "tQGrBdyo/jb5rfxe5vc8U0TbXNO1ARvzGEwRhSvmgl4eic6SVKnm2Uxc0KYNOGYBcyxw1u5oCnDW\n",
       "0DJjEiCBoiNgLWArYqkqCOuyTh2zFSOSsHv9nbRnsya4oFs1ifZmLtlJ99GNEGBk7XY4TuwFjQNh\n",
       "AccEeEWN6CQNlbKAbdnTuqB1hKqGojSpUieJHsr/6QmEZhxw+mJyKwmQAAmEgECm44A9FrDVrwYx\n",
       "AT5023uyT9kaU5mIijTak20zL9qBO3TQTRBJ2wa8i3bCwjBcWMAa1hKpSi5oK8ApI2HFAnG4nbC0\n",
       "BxlTVghQgLOClZmSAAkUJQG3F3QGoSg9Q5DAwgrw8JXXiyyZH8VTR+NBa1hLWMBIrgBjMoaYAEfw\n",
       "qXPzIhpWZKedovuVNTOfVtzNl0z/uW3AUSs86TAItNcFzV7QSYiCWkEXdFAkmQ8JkEDxE8jYBa3i\n",
       "pp2wkND+i9SwXtQFLT9viq7Af0Tg0NS8abSHtDsW2IigCq9NsXjQjs5buLFmQ9lYFhXiSgmwtYBt\n",
       "sBB7jtgnpjmMoBMWXOi1aopTqYbmhEz51ZcABdgXC1eSAAmQgA8BK57WivTZxayCuMXagK0AN6gX\n",
       "s5qtFY0dY/u0iAmwOxTJ2waM/eyMSBqQ48eGnbDGpMoJcOxFAAGx/NzQEOjY8Clp1IjDkCzsLHxS\n",
       "gLMAlVmSAAkUJ4EKTcaQ6IK2Auzt/BQT4OY7R4N0pBLgiFrAZk5gtYB/rLe7gdu4xrrKDdG1FjBy\n",
       "SSXANWPWN9qB6YI2vLPxjwKcDarMkwRIoDgJWBd0eRYwekF7omABRoN6CMCsyWsBx3oa1y3baAJP\n",
       "pRJg1wJes0aW12lvsums8whXzgKOurtNJt6XAbNC/xn3d6x7EMpXqZPYzPiZjgAFOB0dbiMBEiAB\n",
       "LwErnuUJsI8LumH9mAt6W8wFrPlGWkWHE6GHc9xYYK8I4vxoA16lkbDUBb24xm6mRHvV+UYq1Tzr\n",
       "LXtKC9gKsFrAHAdseGfjHwU4G1SZJwmQQHESsMOQvG5cn5o6KsCRRBd0/ZgF7N2/VTSgBuI8Q4BT\n",
       "WcCYE1i2qJt60ffyvbST2iVbpWONRWbsMDpMVyh5y16OAEe0DZiRsCpEt0I7U4ArhIs7kwAJVGsC\n",
       "Gbugk3tBN/AT4JbR8UcYYhQXD1qHJtlhSIY3LGCk77+XRdtaS7t6q6WRlJpVFfYQxwmwusoTk9f6\n",
       "pgs6kU6g3ynAgeJkZiRAAkVNoJIuaMTPqFcvmYzrgtbxR34W8KRJIq+8osfBAkbS+Xl/2NRcdm3w\n",
       "kzR0ogEyKizAXhe0bxuwusgxDhiJnbCiHLL0nwKcJbDMlgRIoAgJWAH2WpF+1UQbsKcTVv362t5b\n",
       "0+dx20JnOopFufK2ASM6Fsbi/u53IgMGiBx3R29ZIB3NmRZt2EXaNVijAlw5CzhuJic/F7SdDxhn\n",
       "gwVcqYZmPyhcl0jA545I3IXfSYAESIAEjHBtjfUg9lqRfmjQXutpA26AsMo2tKR3fwxDikW5ggBD\n",
       "+7Sjs0bHUitU90dgjq5dRT6e3UB66PSFv5frZcn6hrJrozXSKBbOssIWsOflodxxwMYCZihK7yUL\n",
       "cpkCHCRN5kUCJFC8BGz7L2ro6cnsW2FYlp5AHCkFGKIci3LljQdtBVj7Zskpp4jMmbFJjpK3ZZjc\n",
       "o5ErS6R941JpUFY5Cziu7LHpDePq4GkDRics7O/4uarjDuKXyhCgAFeGGo8hARKofgS8AlyuBbzD\n",
       "BW3mAlYL2MR0TqQGAY5FuYIFjGR6Qmv+65z6Jk4GNrfpVE8eq3OdlEh0CFM7FeCG26MTOlTYAvaW\n",
       "3c8FbQTYBuKA6a6pwieJHsb/6QlQgNPz4VYSIAESiBKw7b/45hUxPz6mDTgaCxraZSYW8nNB6zob\n",
       "5coK8I8/aoYqgivLmpicrWXcukWZHC1vmXW7NlknTbereaxJO0ZXLHlc0KkjYXk6YWnuW1eViuMz\n",
       "iqpiJ+beiQQowIlE+J0ESIAE/AjYMcC6La4jk9++FXFBxyzgzp2jsw3Onq0ZqsCv2BYVYNsBWprt\n",
       "Ir+RR6RHl43Sqfk6aV/2nWkffvVVvwKkWecVYD/XsrGAdwjwOmkgex3VTm67LU2e3FQpAhTgSmHj\n",
       "QSRAAtWOQBVd0L6dsDxtwBimBBGeOVPJqgCv3NrYILYWcEQXYAHPeP2H6CRKKpQDB4q8/77ODwyr\n",
       "OdPkFeCULmgrwA3kZrlXvl1cR2bNyvQE3C9TAhTgTElxPxIggepNwLqg62rP5TQuaEwZKOqu9UbC\n",
       "Mp2w7NhaL0W4oGHiauxoRJzq3l3k8891BxXJVduiAuy1gM2hjRuZIUo4xxkDtpuivPyyN9Nylr1l\n",
       "L0eAp8xrI0/KpZqhI0uXlpMvN1eYQOw1p8LHBXrAQw89pN3vtf99irTXXntJ//79U2zlahIgARLI\n",
       "PgF3JiSoqdeK9Jy6bMyTUjbkhugazzAk0waMaBzeVBKRSCQijo1ypWOOevRoaAJvbOhQW1Zs3dns\n",
       "bS1g01saaxqrMMemC9x7j22yzz415KWXRK680pt5mmVv2RN6QTsQZ7w86MvChg0il97dQbrI19Kj\n",
       "V13579L2aTLlpsoQSLgjKpNF1Y9ZuHCh3HLLLTJ37lztUKCxThP+VmkQciYSIAESyCsB2wYMNfVa\n",
       "kZ5COXPmilhRK28Yku2UZU1cnZABFjBiO8/6uZOs3NLIDCU24q3niBywv0iPfSWy0047IlWp4QI3\n",
       "9NSpkrmF6hXgRAvYblOBHzZMZOHimvKE/Fo67Lxali3zVJSLgRAIhQX8yCOP6E1XZv4effTRQCrG\n",
       "TEiABEggUALWBd1IBdgKVeIJfli8Y03tWqaTMXb1dUHHBBi9oJEQD7pHj+jhMzftIStUgF3rV1eX\n",
       "nH+u+TN7xCxglAMCjA5ScENffXX0+LT/PWVPCsQR2/bduibypz+JXHX5VjlszIfyv7qrTV1WrzZx\n",
       "Q9Jmz42ZEwiFBYzi3n///RrxrFTWY9AcEwmQAAmEjYDthJXOAo4T4NpuFEdjxVqL19bLfrcuaI26\n",
       "seuuUbGeu6WDrNrc0A0BbQ9xP2vGxumqYGoLney7rxg3tLs93YLXek/sBR0T4G/WNDWW+ICzdCiV\n",
       "hspsXWuVyZHtwOnAVnxbaAS4gb4iPvvss/qmGBv4XfG68AgSIAESyB6BnzeZvCOIj+wVMe8ZvQKs\n",
       "LuglS6IbW7fWzxoJj1srwNYFrRawNgnLnnuKzN3SUVZsbpRGgGPOy5hgwgr+4ANxz+ctUtKyjeKF\n",
       "GNTa+SsuxfJbvjH6HG7RQnfSZ3LLyHKzG93QcbSq/CXhjqhyflXOYJveAKvh52AiARIggTAR8FrA\n",
       "VsQ85TMdmLwKpZ2wFi2K7gDLNmkYknVBY6YG7VntIO6kJli087Z1kuU/N4xzQZuN9p91Qcc6r0KA\n",
       "ESjjH/+wO6T5jImsmZ4pRRvw8o1aJk0mOIiGo2wt0QZgWsBpuFZiUygEeItGjRmmLf7t27fXTge1\n",
       "pWnTplJfb8pu3brJ2LFjK1EtHkICJEACwRIwvaBhNWLArp8FDHMX8/jalKEAm93R2KsWMBIE+Luy\n",
       "drKgtJnplGVWJv6zQ5piYrrHHiJdukQ7YyXumvTdCjCEP4UAr9hQ37wv7LKLHq0Wf+uyaNu29/0i\n",
       "KV+uqDCBUHTCuuaaa7SH3TKZOHGidOzY0Ygv2oNna0iYIUOGyCZtpxg8eHCFK8cDSIAESCAwAuiE\n",
       "BfGF+PkJsNf9jJPWiVrAdevqfAuqr7I01m6LbQ1U/KwLGt/RDoypjzRBgE3Dq/4/7jgs+yRXgKOx\n",
       "obGH2i+Z9YS2AqzPVeczRP3wpJhFvWJDPeP+hksccTQbblphqk4L2MMqgMVQWMCTJ0+WMWPG6Nte\n",
       "d9MGjLFxjXWsW+/evWXUqFEyfvz4AKrKLEiABEigCgQwDAkCDOG0IubJzvn+h+i3+roPUswChjAa\n",
       "IfMK7s46xteKqO6KYByODkNCigqwSMt662S//cyq5H8JLmjs0KpVhhGx7MtD505qan8nxnVuzxCr\n",
       "1/J1O0Xdz7o+ogLslK4TtGN/8UV0mJTdnZ9VIxAKAYar+d133/WtyYQJE/TtEa+PTCRAAiSQRwJo\n",
       "A7ZjcK2IeYtjLeAeOphXEyJhoQ3YtP9ihVeAm2qcZ48ARy3gqAsarmTMenRMx/lR4caxicke63kR\n",
       "aNlSMhqra+JYq2Vb8rvf6uTDa8WZ8t6O3GNt214BhgsasyENGCCitpJccsmO3blUNQKhcEGPGDFC\n",
       "zjnnHBk5cqR06tRJGmmj/1oN5zZnzhx90dwmkyZNqloteTQJkAAJ+BBA2Mjthx8lNUY/LJFDevvs\n",
       "4VkFAa6nQTDQm9kjfHYPB9MSqWs50qWzOB9+ZOYDhgAfdVRsD48Alwy7WfRBZw/VKQm1sTXWCat2\n",
       "rTJ5Ts6TA486VLdr8A2/5CPAsIAxihMRrNC8mzKh7Hp85AT1b6u4Oi+ME+l3ZHT3WL2Wl9aVA1vE\n",
       "ckA5163XoaIi8MI/9pjIAw/E3OopT8INmRDQOyn/qWfPnjJjxgwzFviYY46R3XffXW/ao+Thhx/W\n",
       "AOCzZLfddst/IVkCEiCB4iOwRAMcf/6FOLPnlF83qE86C3ixdsJq11a7Dkc9dttKaps2WT8LONJz\n",
       "Pyk5/lj3nJhowVijaINVBR0gr8ru7Xe077o72oVaMdsp1maL1RBgpHInZoD1ri8DEW2cjvQ/RZxX\n",
       "xotj83EFuI7rgjZzKaoFjHT55dF3D4S+ZKo6gVBYwKhGXb0Z+vbtayzedXqxmzSJTsVVkSrCYp4/\n",
       "f77vIT/qXZku3rTvQVxJAiRQ3ATs0KLE3sB+tcY4YNsG7OOCRhtwRBt8Izp2R0cEyeLV9UxfLT8B\n",
       "Fo2SFZdsMA6E3bUT76KjVqqUwgLG7uiprH1ZU6eYBYwdImcNFOeZ58SZ/JZETjzeqOsWqSWlG2vt\n",
       "GAIFF7R2ikXS1kLTM1tDNshVV5lV/FcFAqGwgIMahoSY0QsWLPD926g/tO0+P5oqsOOhJEAChU7A\n",
       "CrCN35ymPhiGFLECHLMU43ZHGzAs4NZRU/RHHceLZIJwYMHjgjZBnrHOJk8wDlmvPmSkNEGJIrYT\n",
       "lqccaANGKneokFeAj+4nou3Rzgsxk1a3LZeo79mMAdb80AkL8a3tHMjnnisybZrIN9+Y0/FfFQiE\n",
       "wgIOahjSYYcdJvjzS2+++ab28l/ht4nrSIAEqikBB25lpEwsYIg12mphfSa8zJuexBijowIcGXi6\n",
       "1Oi6l6xdGVVEdHg2ySvAVkBjm3bEg14hEev9SyPAtgMXXMcYKYSUsQsaHa1iFjSEPDLgV0aAnQ/+\n",
       "I2V33qsCHHWhWwE2LmicAG5oLdvZZ4v89rcizz0nMnw4NjBVlkAoLGAOQ6rs5eNxJEACVSIQm+Eo\n",
       "aVICv0wh1tYC9gbcwL4QX10Xad9OjKjt31PWrIlm4gqwdRtjtfaQjkt2pAeGItl4+Olc0F6LOZYR\n",
       "ssCMh+VawLE2YHv+yFlnmE5W208ZYFzRk0Rd0ZrcrjdwQSPF2oExrKpPn6gARzfwf2UJhEKAOQyp\n",
       "spePx5EACVSJgOuC1vbd8hLEWjthYa5cpLjxs3YIUrt2bi6JAoz4Bq65mmABG8saR6qXzom5oCPp\n",
       "LOCYm1vQiSyWIL4Q4XIF2OOCxqGRIw5X81mt9dVr5AvZR+6WYXLWUSt2jEG2vbV1LLBNp5wiOkrF\n",
       "jR1iV/OzggRC4YLmMKQKXjXuTgIkEAyBirigvRYwzu6xJJ2YAEfQBhxLNqS99Sib1XBDwwWcaAFr\n",
       "+F0pUYGGBWx9v2kEOAJR1IAfTkJoKrihKyzAqtyRc84U54m/yGPrr5DaskUevVmHVMVc0WYcMAof\n",
       "s4CxeMAB+C/yv/+JHHtsdJn/K04gFAJshyFN05b9hQsX6g20zATfQPjJPurrMG+OFa8bjyABEiCB\n",
       "9ARcC3hz+v2wFfuaccAqokiwJK2Qfv9DdJ26oG2CBYzNGLnkJgiwCre1ou36CMxXFWHMCRzJxAWN\n",
       "A9toaCqPBWxWtdHe19oXLG1KsICxb8l9d8uW626Qf7SvJf3lNWnStKubhemEpd8cFWDb3owIXTDo\n",
       "dfQoBdglVfGFUAgwim2HISVWYd68eXrfbxSINBMJkAAJBEog1gacUScszJ1rxwGjEJ6OWM4PKsBq\n",
       "kUbcBl8d1qsC7PkaLTYEONH9bCuEoUgIxuEKcKzt1W5P/NTu1U6CAGPI0/TpiTsmfDeWe4lxV+MF\n",
       "4a23RLp2rSUTPm4hmIfuXHleO2nds+MgM5mxftVgHDZppGAz1AkWMFPlCYSiDThd8ceNGyejR49O\n",
       "twu3kQAJkEClCLi9oBMnpk/IzcH2MmfHMCRs9wiw2CFInuNSCrC1mj37mkV0rFILOJNhSNg/Yizg\n",
       "JXG5QIAx2CNtdWIWMCxYDDuGbXP33dEezZ0bLJV+8rbbS9pkbjthxcYC2xPur0G6KMCWRuU+Q2MB\n",
       "pyr+cPZzT4WG60mABKpKwLqgyxuGZPeDCxruYiQIWSzZIBz2Oz7RBhzX/ouVsIDt8fjuSRiK5Hy9\n",
       "IGoB19RIVamE2h4DAZ6gUTc8yQb9QAhMTFHom2ICjI/zz4827drH7D/PeEtqjCtLEGAdB6zJ+W6R\n",
       "dhBbL7ZzGAQY8w9rNE+dPCd6prLJb0rkoAPjPAHRLfzvRyB0FjBiP6+2vRf8Ssx1JEACJBAUAeuC\n",
       "Tmsy6smsAMMFDRFFqqwFnMoF7VrA6uq1bt/omXz/RxDhQ3tMo23WJq8A23VJnzEBhkGLTlsvvCDy\n",
       "2mvR+M4nnhRr5cWLhk2xsjh33C1lv94R/goCjKBdn30W3dFRc7rs2JNNZy54FpwyFXKmtARCIcBB\n",
       "RcJKW1NuJAESIIFEAm4v6C2JW+K/Iwwlkh0HjOWYABuhiQXhwGqbKuyCtm3AaGtN0wPa5m86YeGL\n",
       "px3YCjDmhUiZtNwbpL4pvh1hhGFFN96obu2zz5Qan/9XIp7hVCbqls5tbNLSHRa37ZbjuqFj5UBc\n",
       "7e0H/1LKtFMXU3oCoXBBBxUJK31VuZUESIAEEgjELNtyA3F4LWDrroYliQTx1aFFCMLhTSkFOIUF\n",
       "jAkZnK2aJyZ1SBeEw54ELmhNzpIlEtkz6m9uq6Og4OGGCzpl0rKWRnQYkyYrwHZfI7bd97Vfd3yi\n",
       "N9mPy+OsbYw5hk5bAXZi45+cD6eJzFdXOoZWMaUlEAoLmJGw0l4jbiQBEsgWASus5bmgraXsHYZk\n",
       "XdA+QThQXAiwbxtw4kQMtm7NdjFLjg7FzMQCjrTRMUdIHgsY2g7PdHoB3ialEhVg23YbzSj1/5Ix\n",
       "j4oc9Iu4scDYO64jlgq0SRBfTc4335pP/ktNIBQCzEhYqS8Qt5AACQRPwPnvdNnWvpM487+OZm6t\n",
       "2hSnwkQMSO5kDPiCgBqa0AELyRuEA3qNLH2HIaXqXBUTYNHOTrajk8k41b+YBWwsZs8+cEOnE2BM\n",
       "qrAuJsCJFrAnm7jFklNPlkiP7jor0o72ZuwAAdaRotEm8mU/xh0jOjTLneYwfgu/xQiEwgXNSFi8\n",
       "H0mABHJJwPlqvpihQzayRHmzIdnOWn7jgF0LeEcULFi/SL4CnMYFbQ7arO3RGbigjUg3biROQuQN\n",
       "xGr+/HOTk/8/FeBSJzrGOFMBNhk10t7Qng5fWAcBhiNg5kyRAxNDcOmwLVn4nUiXzv7l4FoJhQAz\n",
       "EhbvRBIggZwSsEKiGmFSORawuC7oeqYX9LnytFz+YR3pt5dawAjCoa7piKfN0w7kSHZBq9MxlQXc\n",
       "qaOa0VoalCmTTlgoeFuEvtI2Y0+CC/qNNzwrEhdVMdeW+bcBJ+7q/Y6IWM4G7XWtXZ9tdEJvR6wD\n",
       "YQFjzDA6kbVsEW0z1jkLIxRgL8a45VAIMEqUKhJWXGn5hQRIgASCIGDn3LV5ldcGbNuKVWg3bq8j\n",
       "L8lp0uGD5dJvkGaQIggHsva1gFMIcAQNsuhMNferjAU4or2ubBxqWxUIMIYYocjotJ2U4IJ26pvV\n",
       "FbKAMRwJLweI1BUbmoROWOiMZTpiQYD37WaigJT0P0XKbh0h8u3CpNNzxQ4C+jrGRAIkQALVi4B3\n",
       "7KypeXkWsBVgdUFv2FrbHLLip+jj04HwQPU8CTGSkdwp/aJfjfVsehrb7wmfkV4HRddk4II2O/pY\n",
       "wHZe4ESPsHsquKDLKuGCthGxrPcglqHtiOX8+KNEdFalmp9+JJHht6hVVYcdsVzo/gsUYH8uXEsC\n",
       "JFDMBBJEpNxY0J5xwFaAV66OBeRQczOC9lFPeuopMdP57bmnZyUWa6rTMVUvaN0cQU9jpExd0Jh9\n",
       "SZXWG/TCvgtgdJRvUhd06fZKWsDI0Kcj1pdfimxZ+lM0sofuYlzUHXYX0Z7Q6KT1r3/pylhCx7dt\n",
       "zdVy/1wbjqt5ogBX8xuA1SeBakkA7ZTepB2f0LaZMnkt4C3RlruVq2MteBAkjy8XHZL++1+RCy9M\n",
       "zs2M1+2qDccpEsI4ImXUCxr7oSc0emOr9WmTFeDFV91rV8V/bt0qa7c3MO5pvA9knGwdE15e0A68\n",
       "RfuNzV7VQiJo+42lSMcOsn3BQhk4UGTAAHGb0c0wK512ET3Rq3uiAFf3O4D1J4HqSMArItYihYqk\n",
       "SGYYUq2aZhrB9VvrmL1WrImpF/KKtYkiAtWpp0ZjUJx3XnJmNV58Vmo8eH/yBrtmvx4SOfE4iRxy\n",
       "sF2T/tNGrPJ0xLIu6KWfa+CMhAkUTGbby4wFbPU0/Ql2bI3EXNCJ7vu9Yu8TC6STWsAtdxzQsaM8\n",
       "Pa+X6SGNPmyYdcmk2MuPOwRsxxHVbokCXO0uOStMAiTgTvkHFLarcrqOWFCQWI+mDVs02oWmlV4B\n",
       "jrmgEc4RMwpCbJo1M7tV6B/mCa4xYbxEDjs0o+MiaAPW5HgEGOetEdkuy6SVyCz1DScmtAFvq+c1\n",
       "2hP38P8ee8nwTkuIHTHsCel70R5ZLXZYwJvadZbbfr5JDtx/m5ms4Z//jO7nDmX6ekFsRfX9oABX\n",
       "32vPmpNAtSXgeFzQW3duJh3lK/nT6DSPQ4wDxhhgTRu3RgV49bqasm3zNvWtbhIM0Zk7V0RnT5Vr\n",
       "r41O8ZcTuDEBRtALmzDNYMtaq1WAW4rzxSy7esentgGv27ZTJQQ42nHLFdBYjujp3WCnbSrAu0qk\n",
       "iX6JpT/MPFKWSFv5w5Vfy3HHRSd80FFJ7lhiWsAaNtTC4icJkAAJVBsCHhf04npdjHjcdEd9+eqr\n",
       "FAQ8Y3o2bI4KsLbAyqrvYm3J6s/FnLrQ6OuuS5FHNlbD4lTXuNcCxmla11guS6W1CvAOCxht3GWP\n",
       "P2EEsFQFONMwlG6xXQs4PhoWtrffZWPUAo6Nu1quUSkfeLWLnCqvySENZ5mJHjA5Uq9eGqJz+dZo\n",
       "lgu+Sd/u7p64eBcowEV0bdETEgPlmUiABMoh4LGAF9fpYHbevDkigwaJ+M6iZ1zQUQt4w+YdPZdW\n",
       "Ltpojp2/sbU8/7zIlVdWzvVcTmlTbja9jRET2uOCxs4tnWWCNtkpUz2P+AULpGywmudr1krp1spY\n",
       "wLGe3gm9oHG+9o3XqQCrLzpmAQ8bpo6BzSVyj/zO9IQ+4ACRiROj7vlx03fDIepKUK+CTiRRnZPn\n",
       "6lRnDMVR97IbbpbtB2TYeaM4qsxakEDlCCCYBKb/0/RDjagg3HzJSvnPf0QeecQnS1jAMRe0bQPG\n",
       "Xit/2Gx2vvffB0gd7Zt1ww0+x2Z7lc9Y4Dbbf5CvpbMcNfMPMnx4rAAq0tukhhwlb8j/t3cd8FEU\n",
       "3//tBULv0kQg9F4UREDpRTqKPwVEKYKIKKIgSFVsWAHBP4iiSFeKUgQRkCpV6VU6UqUr0u9u5/++\n",
       "s7fHJQQlIZC9zXv5XG5vy+zMd3bnzby686/scRZBG2h/sohoGZHspuVJe8ZaAbM+vUULoq++giTA\n",
       "oMLZzwV9gbH6LVaMaOKmUvZl12JxB/ckrQ1hwG7qb8Rd3bmb1MZ/CwTrpgZLWwSBeCIAEXThQvri\n",
       "wx7Liqj304epUSMirN54sRid4AccMMI6f/naCvjkkau0n6JowrLc9Nxz0WyQol9/G3/BECs0HrRi\n",
       "HW8X72AalvVtak9fadF4u3ZE3j+O0jyqS0upOnn9HkLqwjgTxNAh4nv7+ntSnKTjrHMe+106mjyZ\n",
       "6M03iT76iI/mi9IrYPs8WIb/cjQ/HU4eWAUncUMsYcD2k+GCb3XmrG6FmjXbBa2RJggCtwcBHbTi\n",
       "wkUyatekiBWL6UjmUpSOE/SlS3aJPv+cVaqs4n355ej3hhuSgVSETBeuBAJw8PaKdSnoWRqp42vA\n",
       "AjpRKOYK+O+/qTj9Ti90T0UjM/SmN8rMoDFj2D1q4AM0gjpRVjpBhzu/RwMGxKO2mgGz9CAG5U72\n",
       "J+8xqGtXovLlifr3t06AL3BoWsJHH8V+gxZkbUmUIlKvgKEvZtfkJEnCgN3U7Wc4Eg2TKQzYTb0q\n",
       "bUloBAJ2EgYbThmVK9Hhs2lZe8mp89gNCerUbt0sfeX+/SE3hg7YFkHzCjgl8W+mT6ZH0ToqR0Ne\n",
       "Ox4zGmXIxbd304AvMOu0gz6/diYIDtJhtGxO/Xa3oy+GXaIFu/LQfHqYWtJkyp7hsp5oxLlmOtlC\n",
       "LEZYdFAXBZhGjGAWawRKZgZM7ByNFIggiKBzRp6mhVcfIuJjn80roMN12gw7cFWS+RIG7KauPs0M\n",
       "mHU0tG5DNJGUm5oobREEbhkBW4QaCCxx6GRKdpZhNx6kAWTq0EGHbKbhw0PuBIMh2w/4socy0VnK\n",
       "kPoq5cx4kTbTvdSpQyIu4WxXJNsQi42sNLE+1tOhnTZ2ap98PG2v241NogbSK/SJFRIzpHk3vYkV\n",
       "cCxGWEXV75Tc8NLQoZyW8P5rpWEFrCN1hSQorpFuLS06V54eP/sFddnUXqczXLDg2jVJaUsYsJt6\n",
       "m2e+Rv2HdYtEDO2mjpW2JCgCtgV0IN7y4ZORHELiiM7ig/tgFfy//xENGkTUunXgzqFGWJcjKA1d\n",
       "pPHPraBFnb/Xq+c4WzQlYIOuBePgNjCpwArYyJiBjHL3EZUpReZXYyj/X+tpwN2jdFuNiGti9LhU\n",
       "BVKD4Eo75MKcl/bRmZrN6fnnQ3bypmbA/B0qhq6ZYgWdvJqR5pwoRx8l70O9eyvauJGIJedJjoQB\n",
       "u6TLFWQ/CAjwYGVOgF2A1Cy2+RcSBASB6xEIroDTESSjx08nsxhwSEakr78meuEFovHjOcbxdi5C\n",
       "+wEHdMCXPMyAL1DDUgepcEpL9GqHorz+ZndgT8wV8Nm/rJsGInx52rclWrueiI0zjWpVdJaieE8Y\n",
       "cuZg16Fj1zeKmX6qLBY+0Q5iBcykvviK/C2eIsUr4cY0h1oVWEUres6il9lYrHrJU9r1C0Zba9ZE\n",
       "u9r1P4QBu6WLA/pfypyJjCaNSC1eQgquFkKCgCAQDQE7lvHlyPTUti0zB2VwDCdmpCGhKFOYF6l/\n",
       "l7OEheKkSXw5Jri2CJoZcFrid4u5ty6LjbPiu6KMVrH4/sCSHYS8xKC/AgyYV8Ag46knLaYLEXuB\n",
       "/BSxdwcZL/HsIj6Um/XN7Lsbmn1JFwOxtx3SM7RcmFpzrG019XtSk6eRv2wFynx2L41tOJXK1bLq\n",
       "VzHD74QUyQhkgjjaSWnYEgYc+rCE8zb0v6DMmcnDDBj6LDUviSpWLCTkvyAQOwLnL+j9S3floIkT\n",
       "iTo+fZEep2n8zlg+vThodnqRsrSsR3XqsN/qRMXpfryk/WD52AVmwKl5BayVl9CHQi+aiGSkTEmU\n",
       "JfO1aFgxVsAGM0bjUeZsTBBXG8yw4zthMJD+ENmXYiYbhtg7JAylDYfhYRYTFXA5KlaECHWDSxdj\n",
       "ZhQqqE9LcXA3dc0xmdqXXUuwiG7VimjUKLsEd38LA3ZJ/yp7BcwvIkEMjRdSrKFd0rvSjARFICCC\n",
       "3n08vS72rf5erdO1jbCwU8Gnfsfv7Bes6MABg020mPGErIChA9YMGGUlMgPWjdCuSNYKWGEFzKtO\n",
       "I1BfHPc8x5ZloIIFrO/4/rczL9irbS5HZ4rCBCW2FTAfNzgrEsjTq4f+xj/EztZZHOCKtGs3DTz5\n",
       "HI2M6EJPP02EpA0dOxK9807wdNduCAN2S9cGfIANXgFjdms0qEdqzlyCU76QICAIhCAQsBbefSyt\n",
       "VoVmi0pt+aSG+h0dY7/Wy1eoTK5T+sItVJIZcEAHfNHQOmDz8y9J/bKCcwEn7goYFbSCcQTCOmKV\n",
       "GYjJbLfaqFaVIrZtIKNWTXtXvL71CpivVIcOX7s+YPRFAZH3tQOBrfJsCMarX6P542xeHmA5jJle\n",
       "HbOOWC39xVoVb9tOY0b7tU8wcinDNen//u+60ly1QxiwW7rTXgGzDhgEBkwQS8eWjswtbZZ2CAJx\n",
       "RAC6SzBOeuB+2n04NRUuzO8KR94w6tUl9d2Ma8kBAiLWkpG79R00A7b9gAMMmJDoAIzICStg+ALb\n",
       "bkg3EgcXL8b+uUYcEYtxOnTAoJAVMGJLa7rBCjji7QEUsXkdGYjVGRVlnRvATIuh166z9vGEh3g1\n",
       "nCyZFcoSQTuQWQqGcG4lYcBu6VlbB5wli26RUZT1LUwqiYd60yAksX+KRafmuAlJrNU311z13XSO\n",
       "M7mPPD27027mrYUKWdcZT7DfEZjKylVWQpOAnjj9n7sod04vbdUrYF4pM52/gBUwi6ADZDhkBQwF\n",
       "qvJ6tcuPkTegd7UrmUDfWszMkgDFwTWChATIoMDk3/oR/T/yHIOMwgWtA/akBSJxk3XsAVKbt+gt\n",
       "GL8huUWtWqQTZCDNoxtJGLBLelXrgFOmCBqKIMrMKcpCau9+l7RQmnGzCJgDPyCzbQetW8M1inPF\n",
       "+rLdQ2rNrzdbhKvOUywFsnPPmh8O4hjQBcnboAn9wWreIAOG4WKqlGSypS4dOxZsv2JmXarARYsB\n",
       "B1bAl5j3wg2JKlYgo39vMv7XLHh+om1ABwxGhrr/vpOoKC/tbxfBECtkBaxWse8QL6yN0qX++46B\n",
       "+NsUCIJiG2IhpSI+5pBhZH7yqS4HC+YZM4gqVSJ6kg25f/75v4sPtzOEAYdbj92ovtABs/7XptFT\n",
       "03M20COUqd/z1KsXUWW2y2rblmjePMt2xD5Pvt2HgNZL8lhsfjpCN06t30h08hSpJcvc19hYWqSu\n",
       "XiX/4y1JrbacSv1tONrSk63JXLxE+8N6Xn2F9h/waBsqiKBBRtq0OoiNmvb9NVEuDoAB5z3HkZWL\n",
       "0PK9ObSHj2JukzpTJHk6tqeIt94gT+uncGbiUiCzgvp1rQ5LaUvAbkelDDbECtUBq4WLiUqVJCNr\n",
       "1v+8nRFgwNoIC2fbRmFYsRcryo7Av5H5Wh+yjUrTpCH68UeeT/AhJHKIaXz9nzd0+AmOY8A+9q07\n",
       "ayv1HQ6eo6p3+rS2fEadjrAkrXt3VnOl2UpVM2yhDz6wHtyZM4nqsWoYboMvvsjq4a2OaoFUJgEQ\n",
       "0KLBPw4SZeCIRWPGWVGLdu7SJWMlmBRIfTOZ1LTpZE781vJXZZE8AlGY3V/jRLnZyGCG+csvFhJF\n",
       "ilxDRBsJsfGVyddq4ljKWAHXKHGCTPJQtVfK6XcHxzK804M87dpY5zngf9A4CswQFFBBWT8S+H/I\n",
       "Clix65ZavoKNu2rc1E2M6tXIqFld+yPjAiPAgPEdMWwweT75WLt8qUnf4rAmnhvRlCkcAfOclW/Z\n",
       "3u+Gb0cw4Ks8Y+3DOcBy88wqkj2yM/NKLg1PfUqWLElfIySN0H8ioFgkZOTMqc9DBB9WBdH4ml/T\n",
       "jAxtacMGzlK4kyP+HLdEOjX4XQGscHoXchcCevXLTfIM/hDKSlKjx5JiBvw3pacK3/XU0Z2g+3Qz\n",
       "QYwJUqzP1XJm9js9QnfTtA0FaHL14TTu2xQ65SCkQkgUb5PRqIG2dMbEBaSjRrE4t07UHvqT3ZC+\n",
       "H7xfx4muUMHK+GNf54hviKCZ1M+L9LeB1eTtopBgHBpjNp4yat4kA2ZDsIiFPxG8NTTlyWMFCWEG\n",
       "DEttT1deGdxXlsyRoyz3pkAbkMQBKQ6n89zoexZSuIaUA6hjx46qSZMmatOmTRxY5h82VDTZle0v\n",
       "tXLlSlWhQgU1YsSIW65l/fr1Vfny5W+5HKcW4M2aS/mee0FNnqwUv4bq44+V8vV9XXmTpVamz3dd\n",
       "tUeOtM7bseO6Q7IjjBHwdXpReTNkVabfry5Wrq36Z/pUZUt+WjWlGfq5SJ4cikKlnnxSccjgMG7o\n",
       "DaruX7hIeSmF8hYsrp99/5Rp+ve9xgbdbrQdn1SplNq27fpCfE88aV2fPI3yL16it331G+tvc+eu\n",
       "6y9w0B5vyvRW3bn/byf5R35h4XHkiPL1e8MaY86di/ct/T8vVOahQ8Hr/TN/UN6IVMpXvY4yz58P\n",
       "7scwdt99SuXMqZg/BHff8sZ9XOiECRNuuZz4FOCIFfD8+fM5D+fnVLp0aUrL8gaYymfIkIGV75U4\n",
       "u8ZQVsSzJt4hxA8FmWPHO6Q2VjV0yMmTp+hs9qLUpYuVjQT5TO1MJGr+zzzk8LgTQvXrWz9++ilk\n",
       "p2w6FgH0sVrPooxYSK1aTSpgOIRzEID/t7Ueuv/QNHr77IscxMmgmdSU6tNcOrhwD/XrRwSr0jJl\n",
       "ODl6QBQbS7FhuUsNHqrFzJ4P3qUFvho0f9AW+paeoA2qLH3U4XctCdq3T0dTpOLFr2+i8fhj1s5s\n",
       "LKrmFRlCN6qf5vPLxLtv5Od6fTGJsycQd/m2ip/RMjsYB7tgaf3v/eWtwBrxbLWHfZN1SsXA9Yjk\n",
       "55kwhn2sl5O/QVNSGzaSv04D8hzcT19+STpaVp06HNqaTRvCnRzBgCFqXrx4caxYzp49m7LehHI/\n",
       "1osTeKeCBQA7jTsuwtT+A7qlr6+uz/pzy4cOZvwGi3tAJh5i1ouFEiQ/GIDmzg3dK9tORUCxWNVf\n",
       "sQrpKEchlTSnzyR/lZpkvvyqpe9kPe9ozzPa6O4vMz3NytKeVtJDVD7LfhpAb1K25dPp7bc5kfwK\n",
       "jj3BVqZQR7z1VkiBYbwJUbv68SfydH6OjhSqRo142lF/zQB6msYRnveuI4pqv998+a6LUxFstdGQ\n",
       "Z6Zp2fKHkw5gIeDp9CybPKchz8SxZDBTdjJF/DiTPF8Mp4hBH9zWagb1zdt3EM/0blr/G5dKeVo8\n",
       "QZ5JrApgNYK/fCUtWlfLltO99xJ9y+phzulA5csTYaEB3XDYUnyWzQl9zfr161XRokXV/fffr1q0\n",
       "aKEgkm7evLniFbEqXry4OnDgwC3f8lZE0KtXKxaLK+X/aZ4WvYzO9poaNUqp48dvuVpxKsBkmaGv\n",
       "Ry9l7t6tr9u71xKjXZw2Rx2nHCpVCp/q0CF6kebyFcqbM6/yNW8V/QD/6ttXKY9Hsaj/ukOyw2EI\n",
       "+Jo+pp+9q3PmBWtmLlmqvCnSqQvJMqpankUqd44rqi19rdKmvKpq1lScNY6f2fc+1Nf5Z8xS3vsr\n",
       "W9tDhukyWNujWre2RLKdO1vPeLDwMNzQ4ncWw5onTqgBA5Biwa8mUiv1aaGhat26m28QMPMPHhq8\n",
       "wLx4MbgtG/ycnDmjnyNfrXrW88Si+ttF/mnfK2/eQsprpFD+N98J3gYi6BdesMavHDmUGj5cqVOn\n",
       "gofjtJGYImiIJh1Bly5dUosWLVKjR49WAwcOZAY3Si1ZskTrgxOigvFlwFu3WgNU1apKZU97XpWm\n",
       "TUFdEpjXgw8q1b27Uj17KtZVx003YR47pnw9e6tLZy7csInmho3K/8HHCoOA/4sv1QVKq8Ynf0Y9\n",
       "FHUoWI80kVdUCdqqf2/Zcn1RvnbPKm+m7NfpgjEA582rVOHCihf3118ne5yDgDeqsPqSOqhUya6q\n",
       "Pn2UGtrzsHo7xduq112jVJ0yx7nvTdU4528qgrwqRaRfYXIGMrmT/UHh0wgAAB+kSURBVAM/UCa/\n",
       "X9ALe4uWUr4GTayDgf94dqEXbdZMqS+/ZKbtj3b4uh+XL7N9wfVmBdeddyd2+MeOV746DZR59Ki6\n",
       "kiqTWvvoO2oo887s2ZV6uLZXectVjDZw34k6JYV7eFNnVF5PSuVNlUGZeCBuM3lz5VMYx2LS2rXW\n",
       "GIznN2PG/352Y16P34nJgA1UwEnLd7ghsSEWZ7bKlKDVatCgAZ08eZJ+++23OJf7KfuFd+vGDuGZ\n",
       "d9LRExHUhGZT6zE1aNYfZbSj+O/s5QBCxjKEYGW1NTVufH12rgvsu88xEQjBqtJEXKLk9erQlF+j\n",
       "qE3EOCpewqOTfzdqRFpcFvD5J3/DprT4x8v0ZqqBtP5qCTJMP11QaagA7aFn7/6R8nRqQMumHaeF\n",
       "W7JTueYFdfQYqzbX/ptTvyPziVYUsWIxGZUrXTvAW9ABwjUJcNesya5LD1g+w6yO16nYEEoaCU1Y\n",
       "GicUAwH/AJblcm5UT5fOdD6qJC1fzvH7WSrHj5mOTogUsiCoA/CBuLdKFWtfXP7/ufsc7SzclJoh\n",
       "Yw+HTTzjTR+8PFkyxXYTLIrzDaK+F/rRJk9ZOvfjMqpRNzJ4TuiGv0MnUjNmUbJTR0N309vdztBb\n",
       "QzOQz4zQkYdQ1wMHLFEfm2NQ9q0Lad7OKFp+rEAwax+eC3ZaIDyrePafe87y1YQFPpKrQzQIY9eq\n",
       "rErduxdZhYigf4WxPuLzQ5W4iz2k8BtW+ng/EPmoQAEiuIWmTGn5rAO72EjxTfwFitGw0y1peMRL\n",
       "dNyfhcNjMBhMEDOPHRs/vGO7l+yLjoCvaCnutN1k1K5JEQvYUfc2k++hGmTwwxaxaF6sd4I+GO6X\n",
       "DRvGevhfd5ZjU/huPMC3QhqmO0yOYMBwQxowYADH/BzPIB7BqpwTj6Tmlygf+7N2p3bt2t0yLLfC\n",
       "gHFzDKaRFdlnAfOVrdvJ89kw1g91jFYvuPsgdikGYhAGEAwu+uM7SEu2Z6PT53lngDgUgPYvLJd+\n",
       "D0WWKESr2GvCJjA8ttSkTBeP0jHKQXnpD2rARjT+4qWo2SdVqeY/M0l1YQUIkmMjFF7ePJSM463G\n",
       "RtAb+u/hES9HDoqYOY2MEtGtT1bPOEZvvXaBNv5TgAPp8I2ZGH4dkxXJXjDIspqejeSuMWIcf/BB\n",
       "orp1o8X/iO32t7QPA3PBghYDu6WCEvjiE39cpKtFy9KGy8VoArWiWZ6mdNlMoe/CPFK7gUVEcMgG\n",
       "7kgOP6w/OMjzQLr/fotJ4zzuEv2BbzaYDoLPIyXb1Z376c+/UtKOs9np73PM6ZiSkZfWpq5OWe9S\n",
       "FHH+HGVc8j2lKFVYHzN/mENmsyc4ylMhSraNR6MbkDnqKzI7vkARu7eyDyYDGyBf1Vpk/rKS+rfa\n",
       "Qx9OzKX34hmE2vPvvxUzXYOfwmPUovB6yl6rJPly5iavz6Mz+OHdgO0BGGxs03mDFP9x/T0m5c7r\n",
       "YXc4Q79P9r3xzShRZAqrPP2b741ohWDieI+AGSanYNxgyB7vZZ7pDqOvVhajHzjFezVaSmWqZaQH\n",
       "OpbRDB+hkYVuHwL+2vW1AZbnvbejZTm6XXf0P9WW3cpWU7J9gdVOyI38/QdoQ7mIIR+R8RAPSnGk\n",
       "xGTAyeJY19tyehc23f2TDZzmzJnDL1h+7QN8jt+87du3s5L9ZX75L9Pzzz9/W+59M4XC+CryYX77\n",
       "OVuHwTFk4XNrDvyQ1DZObF29KunoLmy4ce+9+WjJEiK2GyMkVoFhKueupqOH/bR5tZfKm0upZZ98\n",
       "9Pf6PfTPTyvpUq3GzNkvUPffnqSMP2yjPWeyaOMYDMAY1C78vJpOrNhN6Vo2pHdP9aI0C2aR590p\n",
       "5KmDWrNh1cO1SX08hEy2/DRKlrhhUwxelkf8zMy7WXNtyOMZ/zV5HmkSPP/+Gf1p1q4J5PlmHB2q\n",
       "9ISeCEBQAMaBlTESZK9ZEz0UHDKe2ZlKUlh8Rw+UWC2l5wUarrO3YQCTPbu2ZdGMHdFtwMyxato4\n",
       "4wB99UNW2rY/TXCliIG3fOkrdH7Ndpp+4F7NgLEqwmCMD5gCGBfqoAdj5k/gJQiqgMhGWBHifhiE\n",
       "Y1u5/3XGT+Ne30PDfiqijZVQHuqCfOz48HxQX4dJBlZwqA/KxOfCBUVjR12lrbv4IPHyjSlz6kvU\n",
       "1jOV/nd+HJU2tlDmnh3JmyM3JXu1mw5T6OEAA5dTZaZBg4hGjCCC5TmkILgPVooxKUPyi5THe54y\n",
       "86SrpfEDFc16kvKd/I0K9Hqciry/jiuXhyJ+mkRGgPniek9jnvrP+h6c7F/JeKCCPq5W/xpkwOa3\n",
       "U1gUsoJDTXBS9B2PUWNPSspctQTlG/gspapUlvxfjaWzHV7Tz2HErBlEn13UlsYG39OoWV2DZTz2\n",
       "KPV+dC/teepNZqTsxfB4XcrQ7hHaeyIdrX1pPKU6uJPamuMoa4tnyOB0mcemraQ/lu6nqCalaN/Q\n",
       "OZSVA6fm/Og12lqujX539u016dTBi5QlT1qN0bJlRK+9pqse+IeJbE9KkcxHHw+4RC+XvUQRDauF\n",
       "niDbtxMBBONgutkAHLdcFeQUnjxVZ3cLzWXs79GLx8BPdOAZP4/REf+ctrIs3fIN71ABEEEnNkVF\n",
       "RbEXxbFYq7Fq1SpVt27dWI/FZWd8dcC4h69rN+3r5uvQSRtA+b+ZrHx1GypvmkzaCEH7HbIxjH/O\n",
       "XOX/5FOtdwutm3/MOOu8zDmUNzKtZcDwTEd9irlxk6VLYQMZc7OlwPXP/Ul5KzxoXVOFrWmYzC1b\n",
       "FXwUTeYAMQm+cjejhzGPHLHKhUHDgLeV//9GKF/rZ7Qhj25D8TIKfpMwfPCPn6h8j/xP+T8cpMyT\n",
       "J5W5br2ug31v6AnXrFHq/feV6tVLqd69leraVal27ZR67DGlatRQqlw5pQoUUCoyEuuiG39yGUdU\n",
       "xyfOsPGdUu3bK9W0Kfv6pT+vktFV1bnEElWtyDH1QJmLqk4dq2yUmz+/UuXL+fU92FZPpU59ffmZ\n",
       "Mys24lOqSBHrw3Z+KndunGf5wt6b76zCOWnTKnXXXdaxQoWUKlHCug768XTpLEOP0Przule97+mt\n",
       "hqXqqWZO93HkQ+4fr1djpPEk9kPFp0RZ5WV/Um+OPMo/faaGzvvWe+pCgTLaIMr/3XR18fQFtX+/\n",
       "Ukt/uqBGFXhfraRK1rUPVrf6/LU+ynt3lIIOGASd7q0QfMK96bIob6Hiuo/x3HiLlFTe0uWUbeil\n",
       "jV7wrHIb9D4cZ79akMmWXfr5b/GU9jfW7cR5rdpY9cxTUPkaNtVGM1pPWKy0Lkc/TzjHxgbvTu4C\n",
       "1m+8E9VqK5xvrlip/O++r9ur78/6at+LLyv44B7jIWJz32/VuuQV1a9ZG6g1I9fqfbeCh1wbPwT8\n",
       "gz5RXu7r2GIMxK/Ef78K9i94Hsw//gieCPsZ/Yzg+eBxEWNkfCgxdcAQ9yY6NeKs15MmTYq1Hn3Z\n",
       "VJdl87Eei8vO+DJgk62T4ODuaxvDvJhvbvLIa65cpQckWBoHB5fCJZSvSTPlrVpLecuUV970dykv\n",
       "78PD4+vyijYmwLU2YXDWgyIGJzaW0uXwgOsf9ZUe2O3zEuIbxji+p9tdqyszY1gY+l5/89o+1AMf\n",
       "1Nvetr+ZmYDJYBA2WTbpn/iNNurx9e5nMW+2iDS3blPm4cPKZLNEky3YMck4e8qrmP8rGHDDcGJk\n",
       "jz1qXK7eal266upSNmYwPCD7+r2hzICHPbC7QmzkYd+XA4r4Or+kLVx1Gxo9Yh1jJgerTFip491c\n",
       "uFCp2bOVtlJv/4yfJwMmW9Yrtqo31RONL6jWlXaptz2vq4XEfVOpqvLPmq3bgHboz4RJyv/laIvx\n",
       "YFLEhaLsf85cUUcf76oOJc9vYcUTLt9TbWPtEnPbdl0WmJueYOEZQDuYqepvMBsEisA+lFOjrvI+\n",
       "8JAVOGLqdwqGd2B0NmGQi23iZR+P67d+3krea90/wGj1pIuxwATRXPOr1bdsderNmE3BAMbPuMQk\n",
       "/fxv2qy09THakj237nucBwwwYcVE1f/5KH0prPi1hfGCn5V55Yoy9+2z+p0ZM54XBBDRmOB5rPmw\n",
       "8r36mh7kNSPHpKG8NTmBERkmhUKJi8CdYr5opZ+fGTwb5tJlutEYb/AbY8KtUmIyYAOVv0OL7Rve\n",
       "ZgMrT5/kdBfpWNZXgGWN6VmG+TfL5nawRQuMsn7kaNx5oSC7BYqvDpi5BpntOmr/OiMq6oY1UEuX\n",
       "kfnRYDIebUrmUFbksWwUol/E5IVlltG6FXlq1rjx9ZzPV42bSEglZ5S/j4y2rXWe0htecIsHzJFf\n",
       "sAz3b4LoUG3fQZ6mjTmNGVvIcFi5oMKySGFSc+ayJc4htphheS73iQ7qgXB3J09Z4k48PQiDhziX\n",
       "PrbYuhGxiN6oVJGMKqyjYasds1dfLUf2fDWSkBHF7N2fFBuLQXZtsB+nGviBjtmr1q0nz7PPkPqd\n",
       "fTy/+NJSTkMuzKlsjGfbk/p6rA6Dh3yuWiHJz4sO8J4pI5mduliWPdmy6qD6xCEJNd1XVudLVu+8\n",
       "f6PaslyZZeiwQINMGq/IVa8+13j1ZYr46H0ru85dWUinZ7txKfqIThEXUBUQY6oNSVg2rhYvIbVg\n",
       "oRU+kNUbnlGfkafN0/9RWsIcxmsPn1mdHYh1DRHLFmp9tWJZvGFbAPKtcN5/5ZBFPGDzrXfJg2eW\n",
       "+zIupPbs0ToFg995c+48UitWagxCy0E2J7NHb1L7D5Cn+eNkvNzlP+sUlzrIuc5HgM36yV+Q1Wxs\n",
       "6wKVH94bg320PSOG3fKzkJg6YEcwYHQ/9LwsbmZryb3sZH2QLYHzcKqwQmxQwTrW2BR5cXxm4suA\n",
       "43ibJHE6LwlJLVqsB3Cj/sNsCVnLUs6yblzBBBjMGcpNMC9Y0LDyFAYUatkvRFu2WhLgalUoYvZ0\n",
       "nYXGBg0Rb8y+r5OaO18z94hN7ORfqqR9mJnwTjL7vaEVtgYbwEHviUmP2bNP8JxoGwimULO6pcRG\n",
       "rFl8ypTWEwEwGvPd98mo+hAZ+fJZl9n6Uyi1oUTG/UaP0Uwf2XLAlA1mkKEMyrrw5v6z7w63y6BQ\n",
       "HZZ9Jfv+xLrfPi7fgkBSR8D8nONDc1Qybb/ACwfPp0MShDckeQacUFbQv/76KyceYFPkWOhT+BIx\n",
       "bZUUQLGgc+d2wSIbjFavhsGcYyHNxM+cJYNXizdDOnUZrLEiI9kaiU2JEBFp9x6+xwNkwLxYSBAQ\n",
       "BASBGyCQmAzYVVbQKXlARwzp2Oiuu+7isRl2nkKJiQDE8kaN6v9aBZ1XNA7hR4OZVexSOTH4TSUH\n",
       "t8+Xb0FAEBAEEgEBRzBgJGOA+DkHfEsCFJqM4Y033rgpNyQkc8AnNkL5CMQhJAgIAoKAICAIOAEB\n",
       "RywJwyUZgxM6TOogCAgCgoAg4A4EHLECfovTscAKesiQITe0gnYH3NIKQUAQEAQEAUHAQsARDPhe\n",
       "zjEF4ymIiQ8cOKCjYiEFIaJfJZQVtHS4ICAICAKCgCDgJAQcwYABCAyoaiACvJAgIAgIAoKAIJAE\n",
       "EHCEDvjfcN7J0fhv5Fr0b9fJMUFAEBAEBAFBwMkIOJ4BT506lQPYcwR7IUFAEBAEBAFBwEUIOEYE\n",
       "bWMaMx9wv3797EPyLQgIAoKAICAIuAYBR6yAEQmrT58+nKA7NwcziuQUcJl1SkK4J3399deuAVsa\n",
       "IggIAoKAICAI2Ag4YgXs9HzANljyLQgIAoKAICAIJBQCjkjGkI+D4ceMhGU3cPXq1YRIWPPmzbN3\n",
       "xet78uTJ2tcYISmdTv/88w8na78qoTO5o/ycpCACcZ6TOCErkYmsRYKFfhKABUjCy8o7oh+EwD+o\n",
       "MOHCGhf6i+PTr1ixgsqXLx+XyxLkXEesgO1IWC1btryuUbNnz44zoNcVwjuaN2+uP7Edc9q+wYMH\n",
       "60xQjRs3dlrV7nh9qlevTkuWLLnj93XaDY8ePUo9evSgiRMnOq1qiVKfKVOm0OnTp28qRG2iVPAO\n",
       "3vSJJ56g4cOHJ8g4eQerfVtulZFjzR9HatQwIUcwYImEFSZPi1RTEBAEBAFBIMEQcAQDlkhYCdaf\n",
       "UpAgIAgIAoJAmCDgCAYMrCQSVpg8MVJNQUAQEAQEgQRBwBFuSAnSEilEEBAEBAFBQBAIIwSEAYdR\n",
       "Z0lVBQFBQBAQBNyDgDBg9/SltEQQEAQEAUEgjBBwhB9wGOF1R6r6999/U/LkySl16tR35H5Ovsmx\n",
       "Y8coZ86cTq7iHakb/KHhdpMtW7Y7cj+n3+TChQvaRzx9+vROr+ptr9+JEycI8Q3EJ5po48aNVLZs\n",
       "2duOeULdQBhwQiEp5QgCgoAgIAgIAnFAQETQcQBLThUEBAFBQBAQBBIKAWHACYWklCMICAKCgCAg\n",
       "CMQBAWHAcQBLThUEBAFBQBAQBBIKAWHACYWklCMICAKCgCAgCMQBAWHAcQBLThUEBAFBQBAQBBIK\n",
       "AWHACYWklCMICAKCgCAgCMQBAWHAcQBLThUEBAFBQBAQBBIKAWHACYWklCMICAIJioDX66UzZ84k\n",
       "aJlSmCDgJASEAd/h3qhcubKOWIME66E0f/58MgxDJ9YO3e/G7SNHjui2VqlS5brmPfvss/oYovsk\n",
       "dapduzZ98cUX/wrDihUrqHTp0v96Trgd/PPPP6lhw4Y6wTxSlebIkeM/cQi3Nt5MfU+ePKnfhZjP\n",
       "wMiRI6lZs2Y3U4RrzwEmeD/CnYQBJ0IP3n333TR9+vRod546daoecKLtdPEPhM3bv38/YbC1yefz\n",
       "0fLly+2f8p1EEejVqxcVKFCATp06RX/88QctW7aMXn75ZVq7dm2SROSNN96gmBP2JAmECxstDDgR\n",
       "OvWRRx6h7777Lnhnm/FgdWzT9u3bqUaNGpQhQwbKmzcvDRkyRB/atGkTtW3blho0aEBFixYlxMQN\n",
       "R8Jqv3HjxtEmIosWLaKYq+KxY8dSsWLFKG3atHTffffRb7/9RleuXCGsjA4fPhxsOgbtSZMmBX+7\n",
       "baNq1ap6wmK366GHHtLMyf7tpm8803g+kiWz0pUXLlyYfvnlF7rnnnt0M7EyxAowY8aMVKZMGc2g\n",
       "cWDLli3UsmVL/X4gZnbTpk3JDZKUF154gTp37hxrF5umqaVmeB9y5cpFb775JmHfzJkz6Zlnngle\n",
       "A0xxzj///BPc55aNixcvUqdOnXT7M2fOTI8//niwnbVq1aIxY8ZQwYIFdUz5ESNGOKrZwoAToTuq\n",
       "VatG27ZtIwwkoIULFxIGVHvAwb6nnnpKM1nMfMF8e/ToofVhly5dogkTJlCFChXo448/pjRp0uD0\n",
       "sKRHH3002kRkypQp0URru3fvJgw+YKyHDh2i8uXLU79+/ShFihSUP39++v7773W7MYEZPXo0gUm5\n",
       "lfbs2UNXr14NNi/m7+ABF2zgWcfEq2TJktSnTx+CmB2TL4iiQWAsmJj+/vvvemXcrl07vf/y5cv0\n",
       "7bffUvbs2fUxnA+VRrgT8Ni5cydBShaTwFA+++wz+vzzz/XxiRMn6ncBE1mcj8QuoB9//FFL2NKl\n",
       "SxeziLD/PXToUNq7dy9t2LCBVq1aRZs3b6bJkyfrdmE/xo/Zs2fTqFGj6JVXXgli4oSGCwNOhF4A\n",
       "o8UKFrNUEF6Uxx57LFpNoOPo1q2bZjZRUVGUKlWqIMNOmTIlDRgwgBo1ahTtmnD7gRU+VvTI8gMm\n",
       "unTpUr3qt9uBgXTNmjV65g6RdfHixQnZkUAtWrQIMu8lS5ZQkSJFgisk+3r5Dk8EMLncsWMHgbEu\n",
       "XrxYT6zwvmD1BqMsMJOePXvqbGF4b6DSwaALwruFSRpWQmBcc+bM0RKT8ETCqjUmnGC0L730Ep09\n",
       "ezZaU8BcOnTooCfkkKBBOjZ+/Hjdfkz0wXhA06ZN0+9MtItd8uPJJ5+kcePG6UxhGBsLFSoUTbWF\n",
       "5wDSQoyXmLg5SZwvDDiRHkJ79QfGg0GmZs2a0WqC1TFmsRClvfrqqzr1GkRLIFsUF+2CMPyBlIsP\n",
       "P/ywnohACvDggw9SZGRksCWYrWMmC+aKFwhiexsDvExg3sePH9cTmObNmwevk43wRgCrNqSg7N69\n",
       "u17RYBWDidewYcO02gHiabwveC7wgTRg5cqVutElSpQge5UHsSNSekKPHO6EySqMjjApDyW0rVKl\n",
       "SsFd2LYZDMTxeGcgNfv5558JY44bKSIigrp27aolHzDeg+QM6TttwkTeJkgMYV3vFBIGnEg9Ubdu\n",
       "Xb26mzVrFmHmGsp4MMvHzB4DEF4mMCellP6gunjg3ELQ5c2YMUOLk2NadmJWi5k7BhEMwJjJAgcQ\n",
       "JAJgwsAPs3zofcKdIFINFZlCt5UpUybdLPQ5dN8gDC5udc9BG7GihYGeTZAAtWrVSouVMRHDKgb6\n",
       "XjwT+GD1a+s7cZ09+B48eJCAYe7cue2iwvp70KBBerIKZmoT8gBDnWUTcIF6BgQdOAzYIGnD5NZ+\n",
       "luxzw+0bUi/b7gM6bUg5QND/Yhtt37p1q5YG2OMEjmPC5lQSBpxIPQNRCWbxEKXFFD+fP39e1woz\n",
       "Xpz3zTffEPRbTpq5JRRs9erV06sXSAEwKQklMBmIk6ALxAsFY4pQDPBCDh48WK+OQ2e5oWWE03ae\n",
       "PHl0X2NFB503DPFggARC+1avXq23MSkJxUHvdMk/iFvxTLRv35727dunW4UVDSZjeF8wUYVhzfDh\n",
       "w7U0BFb0UE1g8gI6d+6cntDZzwsYDyZrbiBIwwYOHBhUvaBNkCBhfIDUAO8L1FloMwiGi8Csb9++\n",
       "rhA/45mHjh/fMNjE2ACCCgs2NMAHDHrBggVh834IA9ZdmDj/sOLDAIKXKJQwELdp00ZbeJYrV47m\n",
       "zp1LFStWpF27doWe5optiAjx8sDIBpONUIJuBy8ULF0hWoQRFlY8WNWAwLAhgnaL+BlYQOoBMSIG\n",
       "l9atW+u2o629e/fW4sd8+fLpQRaTErcSDLCwoilVqpQWIaPfsZpry/pNELCAsRGwgPQIKhrbFxoT\n",
       "FVgC4x0CM4LBopuoY8eO9MADDwSbBCM1TFqABaQD8JjAPpswScU706RJE3tX2H4///zz2sAMEwtM\n",
       "UG1xPCRj0PtjjMRiBqJ2TNrCgQyeKVoyvXCobRKro+2OgYE5KRNmuBCfwRArlKDbAqOC6CncxWuh\n",
       "7YIYFrYBMS3cMfOHdMRNbQ1td8xt6PsxwYI1c2xiRNhJQARrH4OL2tNPP61Xw1gN2iLKmOW68TdW\n",
       "/rCpcMtq/9/6KLa+BRvDOIHnIZzIcrQLpxonobrGHICTUNOjNTVLlizRfuMHVjaw9oTu120MCSsa\n",
       "fGISBli3tTVmG0N/Y8IFY6wbUdasWW90KEkxX4CQPn36G2LhtgOxTawwCQs35ot+EQbstqczibQH\n",
       "+h6ImqArFBIEgADEsO+++66AIQiEDQIigg6brpKKCgKCgCAgCLgJgehKNTe1TNoiCAgCgoAgIAg4\n",
       "GAFhwA7uHKmaICAICAKCgHsREAbs3r6VlgkCgoAgIAg4GAFhwA7uHKmaICAICAKCgHsREAbs3r6V\n",
       "lgkCgoAgIAg4GAFhwA7uHKmaICAICAKCgHsREAbs3r6VlgkCgoAgIAg4GAFhwA7uHKmaICAICAKC\n",
       "gHsREAbs3r6VlgkCgoAgIAg4GAFhwA7uHKmaICAICAKCgHsREAbs3r6VlgkCgoAgIAg4GAFhwA7u\n",
       "HKmaICAICAKCgHsREAbs3r6VlgkCgoAgIAg4GAFhwA7uHKmaICAICAKCgHsREAbs3r6VlgkCgoAg\n",
       "IAg4GAFhwA7uHKmaICAICAKCgHsREAbs3r6VliURBB577DFKnz69/ng8HkqTJk3w98mTJyl//vy0\n",
       "adOmJIKGNFMQCB8EDMUUPtWVmgoCgsC/IZA7d26aMGECVatWLXja0aNHKWvWrJQ8efLgPtkQBASB\n",
       "xEdAVsCJ3wdSA0HgtiLQunVr2rdvH23ZsoXatGlDnTt3pixZslC9evX0/urVqxMY95AhQ4L1WLp0\n",
       "KZUpU4YyZsxIzZo1o1OnTgWPyYYgIAgkDALCgBMGRylFEHAsAmC+ly9f1p/x48dTVFQUrV+/no4f\n",
       "P04VK1ak/v370w8//EDvvPMOXblyhSC2bty4MfXo0YN27NhBGTJkoPfee8+x7ZOKCQLhikCycK24\n",
       "1FsQEATijkCqVKmoZ8+e+sJatWrRrl27CN+gu+66izZv3qyZc4kSJahJkyZ6f9++fTVDHjRokP4t\n",
       "/wQBQSBhEBAGnDA4SimCQFggcPfddwfrmTp1aipatGjwd2RkJPn9fjp8+LAWVxcpUiR4DBtHjhyh\n",
       "XLlyRdsnPwQBQSD+CAgDjj92cqUgEHYIRERE/GedK1SoQJUrV6b58+cHz4UhV86cOYO/ZUMQEARu\n",
       "HQHRAd86hlKCIOAqBGrXrk1r1qyhDRs26HbBqhoGW6Zpuqqd0hhBILERkBVwYveA3F8QcBgC0BMP\n",
       "HDiQqlSpokXO+D1y5Ei6mdWzw5oi1REEHI2A+AE7unukcoJA4iEAffBff/2lXZYSrxZyZ0HAvQgI\n",
       "A3Zv30rLBAFBQBAQBByMgOiAHdw5UjVBQBAQBAQB9yIgDNi9fSstEwQEAUFAEHAwAsKAHdw5UjVB\n",
       "QBAQBAQB9yIgDNi9fSstEwQEAUFAEHAwAsKAHdw5UjVBQBAQBAQB9yIgDNi9fSstEwQEAUFAEHAw\n",
       "AsKAHdw5UjVBQBAQBAQB9yIgDNi9fSstEwQEAUFAEHAwAsKAHdw5UjVBQBAQBAQB9yIgDNi9fSst\n",
       "EwQEAUFAEHAwAsKAHdw5UjVBQBAQBAQB9yIgDNi9fSstEwQEAUFAEHAwAsKAHdw5UjVBQBAQBAQB\n",
       "9yIgDNi9fSstEwQEAUFAEHAwAsKAHdw5UjVBQBAQBAQB9yIgDNi9fSstEwQEAUFAEHAwAv8PG2z0\n",
       "tw4Z0hAAAAAASUVORK5CYII=\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%%R \n",
    "# write into function for later fast-use\n",
    "\n",
    "HAR_RV <- function(RV) {\n",
    "    RV <- RV[!is.na(RV)]\n",
    "    RV <- RV['2008']\n",
    "\n",
    "    x <- harModel(data=RV , periods = c(1,5,22), RVest = c(\"rCov\"), type=\"HARRV\",h=1, transform=NULL)\n",
    "    plot(x)\n",
    "    print(summary(x))  \n",
    "}\n",
    "\n",
    "# apply function\n",
    "\n",
    "data(realized_library);\n",
    "DJI_RV <- realized_library$Dow.Jones.Industrials.Realized.Variance; \n",
    "HAR_RV(DJI_RV)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "(b) Repeat the analysis of part (a) with *spx.krv* restricted to 2008."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### <font color='Blue'>Solution:</font>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\n",
       "Call:\n",
       "\"RV1 = beta0  +  beta1 * RV1 +  beta2 * RV5 +  beta3 * RV22\"\n",
       "\n",
       "Residuals:\n",
       "       Min         1Q     Median         3Q        Max \n",
       "-0.0022396 -0.0001219 -0.0000725 -0.0000176  0.0079141 \n",
       "\n",
       "Coefficients:\n",
       "       Estimate Std. Error t value Pr(>|t|)    \n",
       "beta0 7.164e-05  5.960e-05   1.202  0.23067    \n",
       "beta1 1.523e-01  8.218e-02   1.853  0.06526 .  \n",
       "beta2 5.512e-01  1.415e-01   3.896  0.00013 ***\n",
       "beta3 1.501e-01  1.324e-01   1.134  0.25801    \n",
       "---\n",
       "Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n",
       "\n",
       "Residual standard error: 0.0006787 on 220 degrees of freedom\n",
       "Multiple R-squared:  0.4096,\tAdjusted R-squared:  0.4015 \n",
       "F-statistic: 50.87 on 3 and 220 DF,  p-value: < 2.2e-16\n",
       "\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAAeAAAAHgCAYAAAB91L6VAAAD8GlDQ1BJQ0MgUHJvZmlsZQAAOI2N\n",
       "Vd1v21QUP4lvXKQWP6Cxjg4Vi69VU1u5GxqtxgZJk6XpQhq5zdgqpMl1bhpT1za2021Vn/YCbwz4\n",
       "A4CyBx6QeEIaDMT2su0BtElTQRXVJKQ9dNpAaJP2gqpwrq9Tu13GuJGvfznndz7v0TVAx1ea45hJ\n",
       "GWDe8l01n5GPn5iWO1YhCc9BJ/RAp6Z7TrpcLgIuxoVH1sNfIcHeNwfa6/9zdVappwMknkJsVz19\n",
       "HvFpgJSpO64PIN5G+fAp30Hc8TziHS4miFhheJbjLMMzHB8POFPqKGKWi6TXtSriJcT9MzH5bAzz\n",
       "HIK1I08t6hq6zHpRdu2aYdJYuk9Q/881bzZa8Xrx6fLmJo/iu4/VXnfH1BB/rmu5ScQvI77m+Bkm\n",
       "fxXxvcZcJY14L0DymZp7pML5yTcW61PvIN6JuGr4halQvmjNlCa4bXJ5zj6qhpxrujeKPYMXEd+q\n",
       "00KR5yNAlWZzrF+Ie+uNsdC/MO4tTOZafhbroyXuR3Df08bLiHsQf+ja6gTPWVimZl7l/oUrjl8O\n",
       "cxDWLbNU5D6JRL2gxkDu16fGuC054OMhclsyXTOOFEL+kmMGs4i5kfNuQ62EnBuam8tzP+Q+tSqh\n",
       "z9SuqpZlvR1EfBiOJTSgYMMM7jpYsAEyqJCHDL4dcFFTAwNMlFDUUpQYiadhDmXteeWAw3HEmA2s\n",
       "15k1RmnP4RHuhBybdBOF7MfnICmSQ2SYjIBM3iRvkcMki9IRcnDTthyLz2Ld2fTzPjTQK+Mdg8y5\n",
       "nkZfFO+se9LQr3/09xZr+5GcaSufeAfAww60mAPx+q8u/bAr8rFCLrx7s+vqEkw8qb+p26n11Aru\n",
       "q6m1iJH6PbWGv1VIY25mkNE8PkaQhxfLIF7DZXx80HD/A3l2jLclYs061xNpWCfoB6WHJTjbH0mV\n",
       "35Q/lRXlC+W8cndbl9t2SfhU+Fb4UfhO+F74GWThknBZ+Em4InwjXIyd1ePnY/Psg3pb1TJNu15T\n",
       "MKWMtFt6ScpKL0ivSMXIn9QtDUlj0h7U7N48t3i8eC0GnMC91dX2sTivgloDTgUVeEGHLTizbf5D\n",
       "a9JLhkhh29QOs1luMcScmBXTIIt7xRFxSBxnuJWfuAd1I7jntkyd/pgKaIwVr3MgmDo2q8x6IdB5\n",
       "QH162mcX7ajtnHGN2bov71OU1+U0fqqoXLD0wX5ZM005UHmySz3qLtDqILDvIL+iH6jB9y2x83ok\n",
       "898GOPQX3lk3Itl0A+BrD6D7tUjWh3fis58BXDigN9yF8M5PJH4B8Gr79/F/XRm8m241mw/wvur4\n",
       "BGDj42bzn+Vmc+NL9L8GcMn8F1kAcXgSteGGAABAAElEQVR4AeydB5wUVdbFbwOSsyBZkqAgC2LG\n",
       "gIIJEbMYMKyIsuKKYlyzmEVlUVEUcGVdV1bkU1GBVWFFRUVdWRSQICAIEpQgWdJMffe87ldUp5me\n",
       "mQ7V3ef9YLq6wgv/V12n7n0p4GgQBhIgARIgARIggbQSKJfW1JgYCZAACZAACZCAIUAB5o1AAiRA\n",
       "AiRAAhkgQAHOAHQmSQIkQAIkQAIUYN4DJEACJEACJJABAhTgDEBnkiRAAiRAAiRAAeY9QAIkQAIk\n",
       "QAIZIEABzgB0JkkCJEACJEACFGDeAyRAAiRAAiSQAQIU4AxAZ5IkQAIkQAIkQAHmPUACJEACJEAC\n",
       "GSBAAc4AdCZJAiRAAiRAAhRg3gMkQAIkQAIkkAECFOAMQGeSJEACJEACJEAB5j1AAiRAAiRAAhkg\n",
       "QAHOAHQmSQIkQAIkQAIUYN4DJEACJEACJJABAhTgDEBnkiRAAiRAAiRAAeY9QAIkQAIkQAIZIEAB\n",
       "zgB0JkkCJEACJEACFGDeAyRAAiRAAiSQAQIU4AxAZ5IkQAIkQAIkQAHmPUACJEACJEACGSBAAc4A\n",
       "dCZJAiRAAiRAAhVyGcGCBQvku+++k19++UXatWsnRxxxhNSuXdst8p49e2Ty5MlSsWJF6dGjh7s/\n",
       "Wzc+//xzWb9+vXTt2jWsnKksz86dO+WDDz6QKlWqyCmnnBIzqW3btsn7778vK1eulA4dOkj37t1j\n",
       "npdNOwsLC6VcudK9vxbHbO3atTJjxowwHPvss4/UqVNHOnbsKFWrVjXHcO/iHj7qqKOkQYMGYed/\n",
       "8803smrVKjnggAOkffv2YceWL18u3377rbRo0cLEF3Ywg18ycf+iuJbjySef7LLF/unTp8tvv/0W\n",
       "k++XX34pv/76q+y///5yyCGH4HQ3JFp/7gWejffee08cxzF7unXrJjVq1DDbmzdvlo8//ths477r\n",
       "1auX2S7Nn+Luv8g48fz86quvpFGjRuYZGnk81nfcX7jPcO/hHrRhyZIl8v3330uzZs2kc+fOdrf5\n",
       "LCgokEmTJpntLl26SP369cOO2zi9O/Hcady4sXm+299jovxtvZf09+NNv8zbWtk5F9atW+ecffbZ\n",
       "uIvD/u+7777O2LFj3fJu2bLFHMf+XAjHH3+8KY8+HNJWnDVr1pg09UEUN81TTz3VrQd9qMQ9LxsO\n",
       "6Audc+KJJzo///xzqbNbHDN9WXF5Rd7D++23n/PZZ5+ZtPWl0Zx35513RuUF9YFr9YEedexvf/ub\n",
       "OXbttddGHcvkjkzcvyhvzZo1DQ8Vh7DiH3nkkWb/xIkTw/b//vvvjr7Im2OtWrVy9GUs7Hii9Rd2\n",
       "UeiLvmiZeFF33mfVP//5T3e/GgyxLk14X3H3X2REuIeQn/POOy/yUNzv/fr1M9c89thjYec89dRT\n",
       "Zv8f//jHsP34YtNBWrfddlvUcRsnjkf+15d6R40Pc02i/Ev7+4nKWBl2lO4VXkvv53D55ZfLO++8\n",
       "Y96MtMJFb2Tp37+/bNiwQfr06SNTpkzxc/ZzKm+w0D766COpUKGCLF68WN58882sLp++2LmWSKoL\n",
       "0rRpU3n66afNf9zHxx57rLG6+vbta5K+9NJLzee4cePCsgJrBdZHvXr15LTTTgs7xi9lJ4B7eOPG\n",
       "jSaiH3/8UaZOnRoz0uLqL+ZFnp3eeL3bnlNyavOll15yy/P3v/9ddu3a5X73bsD6x+9i2LBhcv/9\n",
       "9xvvD54xf/3rX72nSXH8/fD7yTkXNCri3//+t1SrVk2+/vpradKkiamUSy65xLjc7rrrLrnhhhtk\n",
       "/vz5YZWFB5ZaBrJ161bBQxZuXBv++9//yttvv21+dHA3nXDCCXLggQfaw6JvxObaefPmScuWLQUV\n",
       "C7cIwpw5c4yLC+6kmTNnmgcjXC9Lly6Vww47TOD2sgE3FG66G2+8USpXriw//PCD/Otf/xK16M25\n",
       "eLEoX768PV3mzp1rju/evduk6R4oYgNl+fTTTwUPDriGcDO3adPGXAH3F8pw5ZVXGpFRS8u4itRS\n",
       "ErUS3FjxAII7DG4ksIoX4A4fPny4cZNWr15d/u///k969uxpXKm4Bvn45JNPzIuRWhty0UUXuW7d\n",
       "8ePHmzz27t1bRo4cadxff/7znwWuWLip8ECCK/b000+X4447LiwLECC1Wky9wN2tFqvrWty+fbvJ\n",
       "O9yL4IamCbyUwZWFAPfVmDFjTNpw0R599NHmXoB769VXX5VNmzaZ855//nk555xzBPlGKC5PiTIz\n",
       "kYX+qLVr7gW7D/UPV/OiRYsMs3PPPdfc56hL1CuaWBDAGeHCCy80vMyXOH/+85//COpdvUCiFoZ7\n",
       "3+L0ou4VuAtff/11cw7qBJxwj9etW9dNKRX3r3qtTJMH3NW1atUy95OtAyT85JNPmv0XXHCB4CGO\n",
       "35la1oaFm7EybuA5gYDfDu4z3J+xml+Kqz8vK2+W8OxCU5lXdFFP+L3hN4WXWm9A/aMZCM8D/KYv\n",
       "u+yyKPdtcfdfUc8wb1p2+9lnnzW/r5tuusk04dn9pf1Uq9z8hvDSiDLAxY9nLp4JkQEvonhG2gBX\n",
       "9fXXXx/VbFMc/2T8fmweSv1ZBuvZl5fqD9C4J1REovKn4uoEAgFzXNtvHOuCrlSpkgM3tIqeOYZz\n",
       "4KZDgMtR4Tr6sHcOOuggRwXQwfkqrOa4ts042s5hztGHuPlEXLgOwbr72rZta44hLhVVs434bNAH\n",
       "itmn7RFml/7gTJo438arLwWO/vjMcRVAN7/Ity0Dzo/ngp4wYYJJA2VQQTTb+hBz1DI1caoQmX16\n",
       "g5v4rDvM5gkn3XLLLeYcpIN09UXDfI/lgta2HvdcnI//lutf/vKXqGMqpI4KpMmLdQ9ZbvhEuPnm\n",
       "m811alE7+I+60jdfcwx/9MHgqFi65yBNuKds0JcjcwzlBwcct25xuBJVkM31SM+6Jh999FFzOTjY\n",
       "cuDziSeeMPuLy1NJmCFC60I79NBDTfz4g7y99tprJn1tR3f32zpDHmzQFwdzHu6pWMHek9qmZ/jZ\n",
       "+14ffo4KlrmkuHvl3nvvNWk0bNjQse5ufQFw9KXGXJ+K+1fbYx0w8dYB6trWDxLGPasPZEdfKh1t\n",
       "P3XPheszXrD1DL7Tpk1z/+NeQFpeFzR+K7jnwA6uXKSH/6tXr3ajL0n9uReFNhAX7k17n+pLjIP/\n",
       "yIe+gJlngtcFrS+w7nPCckE96kuoG3Vx919xzzDrGva6oJEG0tMXUjcd74Z1F19zzTUuT7AdMGCA\n",
       "uS7SBf3444+b/fqS7aglbLa9v1vEbeP0urXRHKAvmub8Bx980GShJPxL8/vxlrOs22jwz6mAmxQ3\n",
       "xsMPPxyzXHhg4Dja0awA4zseKDt27HBeeOEFcxwiqtaoc/XVV5vveCAh4CZSC9pRS9t8v+eee8xx\n",
       "pIubwYqrvh2b4/ZhB7FQt7jbJnf44Yeb69RKN+epi9x8twKlFrb5rpagiVctePP9lVdeMedrJwXz\n",
       "/dZbbzXH1Woz31GWeAKMm1zf1J2ffvrJUQvG0TdAc83LL79s4rQ3IwQYbHCeFX/tiOEsW7bMiBYe\n",
       "engBwA/X3vyxBBgvC/bhgYci4gAj+3CHUOABola3A/FF3tVDYfJiBVi9BY52SHK++OILRzthmIef\n",
       "WgKOeiycFStWOKhPtRgctVzNAxH5hbAif9r5y1EXrKOWhqk3bYJw8MPHQwF5w3dci3RR3g8//NBs\n",
       "oy7BB+X705/+5Dz33HMmT3hpU7eWOUetQ3NNcXkqKTMkZB8g4AwRQR5x/yCf4Ih7wgbtSGL2I18Q\n",
       "adxPOA9tk/GCvSfxsAdbdac6as2b6/CQQyjqXgEb7RDmoD0aooiAl5H77rvPbRtPxf1rRUmtW3Nv\n",
       "4j6CeIKTepdMPlAmlB+iDB7qqTDf8fIaL1gBxnWx/nsFGO3tOAeihmC5eV8CSlJ/kXmyAmxFaMSI\n",
       "EQ7+I038TmEIWAHGb8nmHfcoXgjsiy34o54Suf+Ke4bFEmDcH/aZGVkGfLdiGYsn9uF36A14YcJ+\n",
       "PLsg6vgd40UHzw8bbJwwNvC7sOfgOjxP8UxAKAn/0vx+bH6S8ZlzAnzVVVeZiozVMQXA7Fvx//73\n",
       "P1eAUdEQBwSILm5yVCoqHz8sbOM/rCK8oU1TEbYBP2wcgwWiLi/zI8ENgocmgn3YQQi8YfTo0eY6\n",
       "xIcfEixR/JhgpSMviBOWCYQV8arLxeyDZY8HC9LAOfamg6AgDuyLJ8BIHyKirlQHHXDwFo/z1U1s\n",
       "smYFGFakDbDScY72KHeFU92N9rBjb+BYAoyTIHK4Xl2n7jX2LRgPbBvU3WTO016+ZpcVYDyIbEA+\n",
       "ERc664AJ/h9zzDFmn7qA3bzAErNBe3zaTfcT3gtYzXijx8MMcYI5XgSs0EG0zz//fMMf9WODtS5t\n",
       "J6zi8mRfNkrCzD5AUJ94YbLWhjZZmPvD5gWfsDghyiiDutWd22+/3Wzj4Rgv2HtSXfPuKZZ/p06d\n",
       "3H1F3St4MUKaEAy8POGFFw97hFTcv7jnbTmt9wlp2RfThx56CF9NfpAviBECzsV3e1+ZnRF/rIgN\n",
       "GjTIeeCBB9z/2nxlrrUCjN+Y/c2oe9i89EEUEb82PZnfJaIuSf1FZMXkHxYwLG3Ei3sU9yG21dUc\n",
       "JsAwArAflroNMCKsd2vhwoUJ/WaLe4bFEmCbXrxPK5baxObyBFs8B5FnrwDjZRn7mjdvbpjiZdq+\n",
       "2Hg7Y9k4UV7cc9aDFXmvl4R/aX4/8cpcmv051wZs22bR/hsZ9IYUtXREBVdUTPHyYU7Rh4g7bAfb\n",
       "+iMTdJdHe7C+UZrz9aFl2mRVlAXtf0OGDBF92JlzEIk+aE3bM7bV+sCHYPiNDYjTG9AmrW/Rph1N\n",
       "RcS0LaowmTY9fYCZU/WhI2pZuJfpjWfa9DCMAP/1BnTberCN9m7bRule5NnQt1a5++67RX+gpnOO\n",
       "iquo68xtd7Wn6oPObrrtO2ClFqHZr1ane1x/NO52ohv6YDen2rZnfGndurXZhzYub/ByQ30goP0e\n",
       "/G0AF33wmDYp7PO2ranA2tNMXZ111lmiL1AmPRV5016Idl/cE4gHbbnq4hK0f6PdDP9R32gPjRWK\n",
       "y5O9B0rDDEzUKjftvbhH0IcAnQnVVepmRV8Y5OKLLzZt7WiTxdAKBPRDKC5469nWoy1PcfcKOjmi\n",
       "Awza6cAK/1UEzfAmyzyZ9y/6RqDjE+5z9LOwwQ5xibxv9KXFnOLNi70m3ufAgQPd3y7Owb2AoXM2\n",
       "gC1+Lwjevhv4vlTbmtG5U3v846sJidSfPTfyE9eiExHuVdybqB9vuXG+/R1ZBtinL+bmOYBnHfqO\n",
       "JPKbtXVe3DMM8Zc0nHTSSXLHHXe4lw0dOtS0V7s7dMN2vlKPm/s8s8f1JVv05c59DmH/FVdcYeJE\n",
       "Gzl+w2okmeF0aPf3hkT4l+X3402r1NulUW0/X4O3PmvVoE3HBuuOVFDOmWeeaXZ7XdBwSSPoD868\n",
       "jeE8uNd0PKWDIQDWJas3kDkOSwjBWhzWjQtrCW/M+oM0x621AVdmZLCWIN78kB6schsQP6wLfbCY\n",
       "XSiXdlpyXX627dW28+GNH5Y84ollASP/iA9WlW23ue6668z5cNMhWAvY6+KE5YA4VfSM2x7bsHZh\n",
       "DSDA9WX3mR0Rf2JZwHBX4hpYLzaooJp9sHwRrAUMS8MGuH1xnXa8sruMqxluYHguUG4ch0UD9xsC\n",
       "8odhUKgTWP44rh27zDFYVXCjYh/euuFNQDMB4oP7Gdu2bpA2Aly7ON9ae8XlCfcVzi8JM/sG720D\n",
       "xn1orXPcU95gy23bcuGOKyrYexJ5sm222qvU5BMWd3H3ij6wTRMM+IAz3N62OcNaLMm+f1EeeDbA\n",
       "8q233nKLB68A9lkmuMfxO7ABvxsc97ab22P201rAxQ1D0pc3Exe8Lto5yP1v26VhqSKUtP5sPvCJ\n",
       "/MOCRbDNaci/tRi9Lmg8Y3AM51svDaxk7IN1iOdXIvdfcc+wsljA3vZalClyGBLyaF3JaM7ycrUe\n",
       "D32xxKWuW9sbpxoUprwYFma9gSXlX9Lfj8lMkv7ACsy5AFcHbkL8R3smKta23UGAcJMiWAHGDxY3\n",
       "MR4eVnBshwO4pRAPXCLau9RBmyu+a09oE4d1n6BdEm5NtUbMcSu49mEXa8wlHvQ2n5EPTbimcQwd\n",
       "EbSXpekAhnyinRIBbhccx8MDP6CDDz64SAGGQKG9FHG8+OKLxu1sXe32hi5OgCG6SAfp4oEGFtbt\n",
       "XRIXtPbiNW5V5AViqm+05qUJbXlo60WwAozOPDZAMOHKhhDBJY8fM7bh/kM7JsTAtq3jE+10aKtE\n",
       "3eqkFA7iQt7RlICHuG2uwD48fOHCRR4gsmPU9Q/ueAjghQ7tzQhw0eJ8XIsHU3F5Kg2zWA8QpA2X\n",
       "PdJGneNF0RvUCjLHcBxiWlSw9yT4w52H+96Oa8XDrrh7BS+zaLPD9XD9vvHGG6YjG9K2L3PJvn9R\n",
       "nlGjRpkyoj7x8mr7QaA+rQClSoBx/+Beg7Bh2xtsZ0McR2es0tSfjc8rwLaewBXNLQheAcZ3vDDh\n",
       "OOpDeyS7LnLbRp3I/VfcMyyWAMMAwO8CL6qxgnUX22eLPSdSgHG/IP/2eWrPw+fgwYPNMdtJMlac\n",
       "uFftM9u+vJeGf0l+P948lnU7JwUYUPBQsA8JVDBuXLzB2rcknGMFGG/W6iZxLWdUuG1Dwg9bx126\n",
       "Am5vFiviiAcdt/CgxzE8HCH4tjev/RHFEmBca3vW4uHiDcgbLERrzUNkdJiSewrih3DhIQjRwLn4\n",
       "jzzEsoBxITpwQShxDl4YbOcL+7JRnAAjDrSTWhFGOzfaaPFALIkAIx48tNAuiocW8gNL07a14Xgs\n",
       "AcZ+9C6H+OMaPAzxEPb2+IRVgPqzXJCGjpPFpSagDd12vIJljLIjLnSeQ0CHF7Rvgin2ox1Q3dDm\n",
       "GP5A3BA3juHFB6G4PJWUWbwHCB429gXAWlsmA/pH3cEuE3vv2mORn/aeRP5t+x8e/LAm8EKBUNy9\n",
       "Aosc7XmWJe5TvBRZz0Mq7l/kC78T/BbAH3WEOrTeCBxPlQBDSJAm0osVcJ/hOPqMlKb+bJxeAcZL\n",
       "IeLEf1vGSAHG8+mP2qHJvgjDmkRHRm/fh0Tuv6KeYbEE2PZLsN40m3/7GUsscSxSgG1fAm9fDxsH\n",
       "yow6xu8N/XHixTlr1ixT7+CEF8jS8C/J78fmLxmfxlejGc/ZgDY4tPGpQES1dUYWWm9m007obRvz\n",
       "nqNWkGkr1o5c3t3uNtqLME5TRcXdV9YNdRGa/NtxxZHxoY1HH5puG3bk8cjvetOYdqx48UWeH++7\n",
       "WgGCcXZlLSvqB21Q4FaSYCdCwHjJWEEFwIypxvjWyICxwGgz9rYVR56jrjHTzo586QMg7DCOqWUR\n",
       "1V5VXJ6SxSwsM0n4grZEfXE0Y8+90SVyr+D+xH2P/gcqHt7LzXay71+bgL5kmGka9QXA7srrTzwD\n",
       "UA/4XaOdPFZI5P5LxTMsVl64L0gg5wWYFU0CJEACJEACfiSQk1NR+hE080QCJEACJEACXgIUYC8N\n",
       "bpMACZAACZBAmghQgNMEmsmQAAmQAAmQgJcABdhLg9skQAIkQAIkkCYCFOA0gWYyJEACJEACJOAl\n",
       "QAH20uA2CZAACZAACaSJAAU4TaCZDAmQAAmQAAl4CVCAvTS4TQIkQAIkQAJpIkABThNoJkMCJEAC\n",
       "JEACXgIUYC8NbpMACZAACZBAmghQgNMEmsmQAAmQAAmQgJcABdhLg9skQAIkQAIkkCYCFOA0gWYy\n",
       "JEACJEACJOAl4DsBxjJvWO6NgQRIgARIgARymYAvBFgXGhddRFp0kXjRhb3NOq1Y51MXXpcxY8bk\n",
       "Mn+WjQRIgARIIE8JJG/l+DIAHDhwoGCB7UmTJkmrVq0E4ouF5ufNmyeDBg0yi6cPGDCgDCnwUhIg\n",
       "ARIgARLwF4GAoyHTWWrZsqXMmDFDGjZsGJWVL7/8Uu6//3754IMPoo5xBwmQAAmQAAlkKwFfuKDh\n",
       "ap42bVpMhhMnTpT69evHPMadJEACJEACJJCtBHxhAc+aNUv69OkjNWrUkNatW0vNmjVl06ZNMn/+\n",
       "fEGnrMmTJ0vz5s2zlTHzTQIkQAIkQAJRBHwhwMjVjh07jBt62bJlpj0YVm+bNm2ka9euEggEojLO\n",
       "HSRAAiRAAiSQzQR8I8DZDJF5JwESIAESIIGSEvBFL+ihQ4fK7t274+b9oIMOknPOOSfu8UQP3HLL\n",
       "LUWmk2g8PI8ESIAESCA3CKB5E9qQieALAYbb+bnnnpM//vGPZghSJIhkdMK67bbbZNSoUXLWWWdF\n",
       "Rs/vJEACJEACeUpg5MiR0rRpU7nooovSTsAXAjx8+HApLCw0/59//vmUQMBkH2eeeaa89tprKYmf\n",
       "kZIACZAACWQfgQULFpjOvpnIuS+GIaHgQ4YMMZNvbN26NRMcmCYJkAAJkAAJpJWALyxglLh69eq0\n",
       "TtNa9UyMBEiABEggkwR8YwFbCFyMwZLgJwmQAAmQQC4T8IUFjPbZwYMHy6uvviorV64UzI5ZtWpV\n",
       "wRSV6J3Wt2/fhOoAnazGjh0b89y5c+dKgwYNYh7jThIgARIgARJINwFfCHCyFmPo37+/4H+s0LNn\n",
       "T1m7dm2sQ9xHAiRAAiRAAmkn4AsX9IcffijoCt6xY0fTFoyZr2rVqiVdunSRZ555RiZMmJB2MEyQ\n",
       "BEiABEiABFJJwBcCzMUYUlnFjJsESIAESMCPBHzhgn7wwQfNYgzDhg2LuxiDH+ExTyRAAiRAAiRQ\n",
       "WgK+EODOnTsLVkTCmsDexRgGDBjAxRhKW7O8jgRIgARIwNcEfCHAIFS5cmXp1q1bFKyFCxfK9u3b\n",
       "BSLNECSAmVs++OAD87Jy5JFHSvfu3cN6eP/3v/+VVatWydlnn50VyPDytXTpUjnvvPOi8vv+++/L\n",
       "vHnz3P3ly5c308Ydeuihppc8Otah9/yVV14pdevWdc/DBmZXe/bZZ8084i1atAg7xi8kQAIkkGkC\n",
       "vmgDLgrC+PHjZcSIEUWdklfH4KY/7LDD5IsvvjDzZr/00ksCcXn77bddDv/5z39kzJgx7ne/b0yf\n",
       "Pt3M0x0rn6+//ro59sMPPwj+z549W+6++245+OCDzTrREN2//vWvgvMiw7Rp0+S+++6TevXqRR7i\n",
       "dxIgARLIOAHfWMDxSNxzzz3xDuXd/s8++0z+8pe/yMcffyzHHHOMW368pFx66aUyZcoUOfbYY939\n",
       "ubKB3vAvvvhiWHEuu+wyeeKJJwTDy7CIxz//+U+57rrrws555ZVX5OKLLzY968MO8AsJkAAJ+ICA\n",
       "7yxgzoQV/654+OGHpV+/fmHii7N79+5t3Kx/+9vf3It/++03Of/886V27dpy9NFHyzfffOMeu/PO\n",
       "O43Let9995XTTz/duH/twX/84x/Srl07MwzspJNOkvnz55tDy5cvN+3xsD73228/ueOOOwTHveHR\n",
       "Rx811in2wW2M4xhOhuUkIZA2bNmyxbwwIB640DFJSklD+/btBRO4IFx11VXy5Zdfyo8//uhGgznF\n",
       "33rrLbn66qvdfdwgARIgAT8R8IUA40F61113SbNmzaRixYqmLa9atWqC4UmZcqUWXHeD7Gl1UOr+\n",
       "H9BeCj/+pET3AoQKghUrQGQhQjZ8+umn5txFixbJiSeeaCzFbdu2mbZjiCHaidHuWqdOHVc00a78\n",
       "5z//WZ588klZsmSJub5Hjx7y+++/G7GD23vx4sUCkcaLAOLAfwS0t6KpAO34EL9TTjnFXA9RxIvD\n",
       "TTfdZCx3nAvB3Lhxo3z99dcm7f/7v//D7rgBs6Mhb/j/zjvvyGOPPSaPP/64/OlPfzLXtG7d2pTR\n",
       "u9IV4mzVqlVcXnET4wESIAESSBMBX7igkzUTVjKZBQ49REQFK2VBOxMFGjdOOHpMz7lu3TqJtzZy\n",
       "kyZNTMcrGyHWt4S7GuH++++Xp59+2ggYrF6I36RJk0wnLYgpOjYhYDKUc845x1jM+A7RRBszXNuw\n",
       "OAsKCuShhx6Stm3b4rBZPxOid8QRR8hHH31k4kGHsHHjxsnOnTvlhhtuMNOK4gUAS0HCQseLAtqr\n",
       "MfkK2q7xH1b4+vXrTZyx/vzvf/8zL2jojIcOaCeffLJ52UCebMALAfJ27733ml1wP9P6tXT4SQIk\n",
       "4EcCvhBgPIwxBKlhw4YuI+9MWBAQDElKZyh39VUi+O+TgNnB0PMXw7RiBVizhx9+uHvouOOOc7er\n",
       "VKkinTp1kp9//tn0NIaFi3WXYe3CooaFClFDHDgHbc02YJWqDRs22K/SvHlzdxtzdKPn8tChQ01P\n",
       "5CuuuELKlStn4oFYetupcRHyB4sYQu615JFXWLbxAsTbekLw4gCXO+LxCjDycf311xtXOzpdffXV\n",
       "V/Lmm2/Gi5L7SYAESCDjBMplPAeaAc6ElVgtwJJ8+eWXjbvXewXazbHfK7o//fSTewpc/N9//70Z\n",
       "voP21169esmcOXNMr+JDDjlELrjgArMgNRaruOiii4yAQozxHz2q0ZHJBmst4zsEFm3MEEVYtRgK\n",
       "hIB4sB/uahsP3OPoSAWLF3F8++235lz8wVCzRMMZZ5xh2p/79Olj3OT2OrxkYB8W44CL/dxzz40a\n",
       "lmTP5ScJkAAJ+IGALwQYM2HhP6yiSy65xLTt4aEPqw0P9kceecQPrDKeB/QIx3hpsIGlioDOUbAI\n",
       "0ZZ72223uXnE2NrvvvvOiPULL7xgroN7+JNPPjFuYHTSOuCAA4zlu88++wgsbFiRGM6D6xDgmcD4\n",
       "66IWsYAVPGjQIHMe2mIRTjvtNNm8ebNpE7ad6tCTGZ2isMoV8oE8oa0YlmxR1q+JMOIP+gsgLdsG\n",
       "bA/DDY000Cuc7mdLhZ8kQAJ+JeALFzRnwkrs9oB4TZw4UW699VYjomjLrVmzpunw9Pe//92MC7Yx\n",
       "wRrGywzOQfvxG2+8YaxSWL+YoAPjaNHhDR2s0F4KqxSihU5beBFCD2U0A2CJR3SOgzUbK8DtjJ7R\n",
       "GG9rA9qfIeRYmQru7QoVKhiL1IoirFRYqHBno/MWrFq0bycaEN/o0aMNA5TbWt5w0eNFBFY+vAUM\n",
       "JEACJOBnAgF9ODt+zmCy8maXI7S9dpMVbybjWbNmTVi7eay8rF692pwDC9cbUO2//PJLzOt3794t\n",
       "sJAhwmUNyCPiQdtwZEDbMl4gIKgMJEACJJAJApjY6OabbzZDI9OdPp986SaexPS8ndbiRduoUaOY\n",
       "hyDI8a6HSzoZ4ouE46WBY5FTR2IfAwmQAAnkC4FosyRfSs5ykgAJkAAJkEAGCVCAMwifSZMACZAA\n",
       "CeQvAQpw/tY9S04CJEACJJBBAhTgDMJn0iRAAiRAAvlLgJ2wsqjuMSmGHaPrzTY6OmESCr8H9Lze\n",
       "sWOHYNKMkgYMa8KELfgfGbDmL8Yb24DhWi1btjQThdSoUcOMY+aawZYOP9NJAPe88+prEjjzDAno\n",
       "EDkGEvASoAXspeHzbUwygfWAMauU939pVhPKRFEx3eXMmTNLlfRzzz1nppeMdTFWZpo6daqZ2Qtr\n",
       "BmNearyQYN7pX3/91fS25prBschxX8oJ6KImhX+8Wpw3967XnfI0mUDWEKAFnDVVFcwoZpTCpBrZ\n",
       "GDD9ZaoCFvTAog42YOUnTCCCVZGwTjDXDLZk+JlWAnsKgsnp4iQMJBBJgBZwJJHQd0xPgt9Mqv7r\n",
       "XBdJD5j1Ckv1/eEPfxCM/8UCFpgVCgEzWsFShFXYpk0bYxlCpLAgA87FfyxmgEUUbMCcyljpCC5u\n",
       "CJid/hLLAmK2LMyUhVmvEId1AU+ePNnMsgXXb8eOHWXChAkmOlikmHjj0ksvNaslYWe8tYdxDEsf\n",
       "YjYrrN6EtDFjV0kClrPcf//9zapMuI5rBpeEHs9NGgE8SBAKCoOf/EsCXgLaRpEXQa0jR1fjSbis\n",
       "err+clL7/+23E86OOVEtOUenW3R0HuWw/yqk5vj555/vnHDCCY62Ezvq6nVUbJ3LLrvMHHv00Ucd\n",
       "nXHKUVeuo/Nrm306d7KjU1Y6ulCDM3v2bHMt0kBQkXV0WkdHLUhHhd3BubpQg6OzZzmVKlVy1Ap3\n",
       "VBQdXXfY0Sktnffee8/RVY4cXYTB0bmYHV2O0NF2V0dnunJU1B2d99nRVYqc999/39HFIcynrrRk\n",
       "rtO5ph19OXBUMM25OnuWoxOBOLrmr0nvzjvvxFPM0aURTd4i/2ibsqNLEZo4Eb9OdenoFJkO4kd+\n",
       "bdC1ih2dc9x+dXSFJUdfVtzv3CCBZBMo/H6es1sqOQVDn0521IwvSQTwTFVjI0mxlSwauqC9byOe\n",
       "bZ2ZTLp29exI8qZOvaydhEoeKaaWVLELu/DCCy80FiiW31MBMpYnTrj99ttFRdms84vvmP8Z1ioC\n",
       "1uvFPMro3GRnvcKiCpg/Gu2tWNDgpJNOMtfj/KeeekpUpAXLE6L9GasoIQ50eMKczitXrjQLOqg4\n",
       "m/bYVq1aiYq/WV0JM2shYPYtWKb4XtTaw7DMMUc08o9rBg8eLOhoVVRAWdBGDj6Y/hJzU69YscLM\n",
       "f22vw2INXDPY0uBnWgi4FnDIFZ2WRJlIthCgAMepKe0vpCsFxTmYwd1YZCFWGzCW94NYeZckPP74\n",
       "481CDKtWrTI5hkvWBogT1uW95ZZbwuZphrsZqx/NmzfPLFNoz8fygl1DbyTo5ARxRbxYAAGrGkEw\n",
       "kT4Wi8CqTWirxrKEWLFILdiwNBBnUWsPYylFuL4RHwIWjfCuH2x2RvwZPny4aQNGPuB6f+2114xL\n",
       "3Xsa1wz20uB2WghQgNOCOVsToQBna81F5BvCqc4Ps87usccea45+8803Aou0ha7Bi+Bdy9davWiH\n",
       "Vbe1OY52VizQUL9+fcGi9t5OU1heEGsOo61Y3dny7rvvylFHHWXibNeunRFgtANjcQVY4Zs2bTLt\n",
       "v1gRCSLt7SCFxCDOyCesbRuwNGHjxo1NxylYyN6Q6JrBWPQBcSJvWNsYQ7eskHvXDMY81Fwz2EuY\n",
       "2ykhQAFOCdZciZSdsHKkJiHAx6hPG+KDzljr16+XF1980YhrrNWGIJQYFgTXMs6F5XjTTTeZJQQh\n",
       "WOecc46gs9WCBQuMsGP4EyxfiDSuhUUKQYcQY+iPtuuaY7C6J02aZDponXnmmYLOWNYFjW0IPNIq\n",
       "au1hvBDAqoYVi5cKWPzWik+kupAeXNLTp0933e/2OrihuWawpcHPlBPQe90E9TYxkEAkAVrAkUSy\n",
       "+Dsmm4BrGMNvII7o8Txu3Li4JYJFe/nll5vzsY5u+/btzTq7uAA9j2EBd+rUyVjEOIZ2WLT3Yj1f\n",
       "pAEhRo9rtEHDZQ2BhSv4tttuM23NEHZYwN27dzd5wJKQvXv3lgceeMCsIRxv7WGcjHzDfY2XAljF\n",
       "KEtJAnpgIx/o+X3WWWeZOHA9rHGuGVwSkjy3TARCFrD2UCxTNLw4NwlwPeAcrFes5Yt2U3R4SiTA\n",
       "vQyrFwIaGdDRCp2iIpcOhJWNNNAJK1ZAOzLaja31a8/BMCe4xa07vLi1hzGRhnWX2zj4SQLZQsCZ\n",
       "9a0UHHq0BO7+i5R/+IFsyXZe5ZPrAedVdae+sLDwShJgycYLEEv8jwwQ16IC2pFjhUjBhkAXJbBF\n",
       "HYsVP/eRgK8IsA3YV9Xht8ywDdhvNcL8kAAJ5A4BK8Ceucpzp3AsSVkJUIDLSpDXkwAJkEA8AlaA\n",
       "2QYcj1Be76cA53X1s/AkQAIpJUABTinebI+cApztNcj8kwAJ+JeAK8CcC9q/lZS5nFGAM8eeKZMA\n",
       "CeQ6AY4DzvUaLlP5KMBlwseLSYAESKAIAq4FzHHARVDK20MU4LytehacBEgg5QQowClHnM0JUICz\n",
       "ufaYdxIgAX8ToAD7u34ynDsKcIYrgMmTAAnkMAErwBwHnMOVXPqiUYBLz45XkgAJkEDRBKwAcxxw\n",
       "0Zzy9CgFOE8rnsUmARJIAwEKcBogZ28SFODsrTvmnARIwO8EKMB+r6GM5o8CnFH8TJwESCCXCTgc\n",
       "B5zL1VvmslGAy4yQEZAACZBAHAK0gOOA4W4QoADzPiABEiCBVBGgAKeKbE7ESwHOiWpkIUiABHxJ\n",
       "wBVgzgXty/rJcKYowBmuACZPAiSQwwSsAHMccA5XcumLRgEuPTteSQIkQAJFEwgJsMNxwEVzytOj\n",
       "vhXgQu09uHXr1jytFhabBEggJwhYC5gCnBPVmexC+EKAN2/eLE899ZSceeaZMm3aNHn33XelQYMG\n",
       "0rhxY+nfvz+FONm1zvhIgATSQ4ACnB7OWZqKLwT48ccfl6+//lp69uwpN954o9xxxx1GhJctWya7\n",
       "du2S8ePHZyleZpsESCCvCRQ6weLTAs7r2yBe4SvEO5DO/e+8844R4GrVqskvv/wi69atky5dupgs\n",
       "3HnnnXLzzTdL375905klpkUCJEACZSdAC7jsDHM4Bl9YwO3atZMpU6bIpk2b5NNPP5WZM2e6yGfP\n",
       "ni2HHnqo+50bJEACJJA1BCjAWVNVmcioLyzgW265Ra666ir58ccf5YYbbpAtW7YIRLlTp07y2Wef\n",
       "yccff5wJNkyTBEiABMpGgAJcNn45frUvBBju5nnz5smGDRukVq1axgWNNuGNGzfKmDFjpEqVKjle\n",
       "DSweCZBAThKwAsxxwDlZvWUtlC8EGB2tBg8eLK+++qqsXLlSHL1pq1atKi1btpQC7bzA9t+yVjOv\n",
       "JwESyAgBK8DshJUR/H5P1BcCPHDgQFmzZo1MmjRJWrVqJeiMhaFJsIoHDRokO3bskAEDBvidJfNH\n",
       "AiRAAuEEXAHmVJThYPgNBHzRCevDDz+UkSNHSseOHaV69eoSCASMKxqu6WeeeUYmTJjA2iIBEiCB\n",
       "7CPgCnBB9uWdOU45AV8IcIcOHcwEHLFKO3HiRKlfv36sQ9xHAiRAAv4mwPWA/V0/Gc6dL1zQDz74\n",
       "oPTp00eGDRsmrVu3lpo1a5ohSfPnz5c92nlh8uTJGcbE5EmABEigFARoAZcCWv5c4gsB7ty5s8ya\n",
       "NUtmzJghmP0K7cGwetHu27VrV+OSzp8qYUlJgARyhgAFOGeqMhUF8YUAo2CVK1eWbt26GYsX44Dr\n",
       "1KmTivIyThIgARJIHwEKcPpYZ2FKvhDgooYhYZKORIchjRo1SsaOHRuzGjCjVt26dWMe404SIAES\n",
       "SAkBK8AcB5wSvNkeqS8EOFnDkLByEv7HCljoYe3atbEOcR8JkAAJpIaAFWCOA04N3yyP1Re9oDkM\n",
       "KcvvImafBEggNgEKcGwu3GsI+EKAOQyJdyMJkEBOEqAA52S1JqtQvnBBcxhSsqqT8ZAACfiKAMcB\n",
       "+6o6/JYZXwgwhyH57bZgfkiABJJCwFrASYmMkeQaAV8IMKDaYUiRgBcuXCjbt28XiDQDCZAACWQV\n",
       "ASvAewrMIjOYZpeBBCwBX7QB28zE+hw/fryMGDEi1iHuIwESIAF/E7ACjFyyJ7S/6yoDufONBRyv\n",
       "7Pfcc0+8Q9xPAiRAAv4m4BVgjAWu4PtHrr955ljufGcBY+7n3377LccwszgkQAJ5ScArwLSA8/IW\n",
       "KKrQvhBgzIR11113SbNmzaRixYpmxiqsCYzhSWPGjCkq/zxGAiRAAv4lQAH2b934IGe+8IckayYs\n",
       "H/BkFkiABEhgLwEK8F4W3Ioi4AsLmDNhRdULd5AACeQCATsOGGWhCzoXajSpZfCFAHMmrKTWKSMj\n",
       "ARLwCwFawH6pCV/mwxcuaM6E5ct7g5kiARIoKwEKcFkJ5vT1vhBgzoSV0/cYC0cC+UuAApy/dZ9A\n",
       "yX0hwMhnvJmwEigDTyEBEiABfxLwCjDXBPZnHWUwV75oA85g+Zk0CZAACaSOgFeA2QkrdZyzNGYK\n",
       "cJZWHLNNAiSQBQTCBLgwCzLMLKaTAAU4nbSZFgmQQH4RCBPggvwqO0tbLAEKcLGIeAIJkAAJlJJA\n",
       "obP3Qrqg97LgliFAAeaNQAIkQAKpIkALOFVkcyJeCnBOVCMLQQIk4EsCFGBfVotfMkUB9ktNMB8k\n",
       "QAK5R4ACnHt1msQSUYCTCJNRkQAJkEAYAa8AcxxwGBp+EaEA8y4gARIggVQR8AowO2GlinLWxksB\n",
       "ztqqY8ZJgAR8T8AjwA4F2PfVle4MUoDTTZzpkQAJ5A8BjwBzOcL8qfZES0oBTpQUzyMBEiCBkhLg\n",
       "esAlJZZX51OA86q6WVgSIIG0EgizgDkVZVrZZ0FiFOAsqCRmkQRIIEsJhAkwp6LM0lpMWbYpwClD\n",
       "y4hJgATyngAFOO9vgaIAUICLosNjJEACJFAWAl4B5jjgspDMyWspwDlZrSwUCZCALwh4BZjDkHxR\n",
       "JX7KBAXYT7XBvJAACeQWAQpwbtVnkktDAU4yUEZHAiRAAi4BCrCLghvRBCjA0Uy4hwRIgASSQsDh\n",
       "OOCkcMzVSCjAuVqzLBcJkEDmCdACznwd+DgHFGAfVw6zRgIkkOUEKMBZXoGpzT4FOLV8GTsJkEA+\n",
       "E6AA53PtF1t2CnCxiHgCCZAACZSSgFeAOQ64lBBz9zIKcO7WLUtGAiSQaQJeAS7gXNCZrg6/pU8B\n",
       "9luNMD8kQAK5QyBMgDkXdO5UbHJKQgFODkfGQgIkQALRBCjA0Uy4xyVAAXZRcIMESIAEkkwA44AD\n",
       "oTg5FWWS4WZ/dBTg7K9DloAESMCvBGABV6gQzB0F2K+1lLF8UYAzhp4JkwAJ5DwBCHC50GOWApzz\n",
       "1V3SAlKAS0qM55MACZBAogQgwPvsY9zQDgU4UWp5cx4FOG+qmgUlARJIOwEIcEAbgcuXF+E44LTj\n",
       "93uCFGC/1xDzRwIkkL0ErACjHZgWcPbWY4pyTgFOEVhGSwIkQAJiBRgWMAWYN0QEAQpwBBB+JQES\n",
       "IIGkEaAAJw1lLkbkWwHesWOH7N69OxeZs0wkQAL5QqDQ0wZMCzhfaj3hcvpCgJcvXy5XXHGFfPPN\n",
       "N7J27Vrp16+fNGzYUGrXri1XXXWV7Nq1K+EC8UQSIAES8A0BWMAYhmRc0JwL2jf14pOM+EKA77vv\n",
       "Ptl///3l4IMPluHDh2tnwT0yd+5cmT17tmzZskUeeughn+BiNkiABEigBATogi4BrPw7NTRFS2YL\n",
       "/umnn8qCBQukYsWK8vbbb8uECROkadOmJlMQ32uvvTazGWTqJEACJFAaAhTg0lDLm2viWsBPP/20\n",
       "PPDAA7J06dKUw2jbtq384x//MOmceOKJMnnyZDfNiRMnSps2bdzv3CABEiCBrCHgFWCOA86aaktX\n",
       "RuMK8BlnnGHcv8cdd5xAFP/+97/L1q1bU5Kv559/XoYOHSpdunSRjRs3yq233iqdO3eWww47TEaO\n",
       "HCkPPvhgStJlpCRAAiSQUgJWgDkOOKWYszXyuC5oWJ1PPfWUDBkyRKZOnSrjxo2Te++9V0466STj\n",
       "Ej766KOTVubWrVvLvHnzZMqUKeazfv360rhxY2P54kWggp3MPGkpMiISIAESSAMBK8AcB5wG2NmX\n",
       "RFwBtkXZsGGD/PDDD+Y/hHDfffeVQYMGSYsWLeT111+3p5XpE72cBw8eLK+++qqsXLlSx647UrVq\n",
       "VWnZsqUg/b59+5Ypfl5MAiRAAhkh4AqwOhs5DCkjVeDnROMK8PTp0+Xxxx8XfPbq1Uvuv/9+Y/2W\n",
       "0y71hbrGZZMmTWTZsmVGiMtawIEDB8qaNWtk0qRJ0qpVK6lWrZps3rzZWMMQe4wJHjBgQFmT4fUk\n",
       "QAIkkF4CZj3g0FzQFOD0ss+C1OK2AWMI0Omnny4rVqyQsWPHyimnnGLG46JTFkR4zJgxRoSTUcYP\n",
       "P/zQtPV27NhRqlevrnOXB6RWrVqmTfiZZ54xvaKTkQ7jIAESIIG0EoAFrM/L4DjggrQmzcT8TyBK\n",
       "gOEOhsUJtzPaZitVqmS+Yx+GB11//fWmVD169NBVtnSZrSSEDh06yLRp02LGhF7QaBNmIAESIIGs\n",
       "I+C6oDkXdNbVXRoyHOWCfvnll11377PPPhuWhRo1ahi3dNjOJHxBL+c+ffrIsGHDjOjXrFlTNm3a\n",
       "JPPnzzeTcniHJSUhOUZBAiRAAukhQAFOD+csTSVKgDHpxdVXXy0Q32OOOUYOP/xwUzS4hcujJ18K\n",
       "AoYczZo1S2bMmGHaldEeDKsX7b5du3Y1LukUJMsoSYAESCC1BLwCvIcu6NTCzr7YowQYRUBv55tv\n",
       "vjmtpalcubJ069bNWLyYfrJOnTppTZ+JkQAJkEDSCVgB1mcqe0EnnW7WRxglwEcddZQ88cQT8sUX\n",
       "X5iOVpElRMcsdIxKZihqGNItt9yS8DCkUaNGmQ5jsfKGTmV169aNdYj7SIAESCA1BKwAcxxwavhm\n",
       "eaxRAgwRa6FjfNEB69RTT40qXios02QNQ+rfv7/gf6zQs2dPs9JSrGPcRwIkQAIpIRAS4IAKsMNh\n",
       "SClBnM2RRglwp06dTHkwDMguiJDqAmIYEtp/sQShDd5hSBiDzHHAlgw/SYAEsoaAdxzwzp1Zk21m\n",
       "ND0EogQYnZ4wH3O8AKsYU1QmM9hhSJdccklUtByGFIWEO0iABLKFACzgcpyII1uqK935jBJgiOvu\n",
       "3bvj5qNevXpxj5X2AIchlZYcryMBEvA1AbcNmFNR+rqeMpS5KAFGe2y6O2FxGFKGap/JkgAJpJaA\n",
       "K8CciCO1oLMz9igBzkQnLKCzw5AiMS5cuFC2b99ulieMPMbvJEACJOBrAl4B5nrAvq6qTGQuSoBt\n",
       "JyzM97zffvtJxYoV3XxhOsrVq1e739OxMX78ePnpp59k9OjR6UiOaZAACZBA8ghYAeY44OQxzaGY\n",
       "ogQYY3Kx2tE999wjmO8Zk2PYgLmgsWQgVi1KV0A+GEiABEggKwlYAeY44KysvlRnOkqAMzEXtLeQ\n",
       "e9RNw5mwvES4TQIkkLUEKMBZW3XpyHjUakiYCxq9oIcOHWrG5mIb/yGMWKO3b9++Sc8XrO677rpL\n",
       "mjVrZlzemLEKawJjeBKWPWQgARIggawk4B0HXFCYlUVgplNHIMoCRlKYC/qKK64QiPGiRYt0CtMC\n",
       "45ZGG/DRRx8dd7rH0mYzWTNhlTZ9XkcCJEACKSEAC5jrAacEbS5EGmUB20JhaUD0Pr7mmmvMjFgY\n",
       "q4tlAmGpJjtgJqyRI0dKx44dpXr16mb1I+9MWGh7ZiABEiCBrCNAF3TWVVk6MxxXgJcsWSJYCOHK\n",
       "K6+UlStXygUXXGDcwXBNJzvYmbBixcuZsGJR4T4SIIGsIEABzopqylQmY7qgkZkmTZrI8uXL5aST\n",
       "ThK00a5fv96sJoR9yQ6cCSvZRBkfCZCALwh4BZjjgH1RJX7KRFwB7tevn3Tp0kUOOOAAOeuss6RX\n",
       "r15GiHv37p30/HMmrKQjZYQkQAJ+IGAFmOOA/VAbvstDXAFu3769YBaq8jp+DUL84osvSu3ateXC\n",
       "Cy9MSSHizYSVksQYKQmQAAmkg4AV4PLa2sflCNNBPKvSiCvAKIV3ecDrr78+qwrGzJIACZBAxgm4\n",
       "Asy5oDNeFz7MQJQAZ2I5Qh9yYZZIgARIoOwEwsYBF5Q9PsaQUwSiBDgTyxHmFFEWhgRIgAQsAR0G\n",
       "zHHAFgY/IwlECfCRRx4Zdg56P//888/Spk0bqVq1atgxfiEBEiABEiiCAF3QRcDhobjjgDH7Faad\n",
       "rFevnnTv3l1q1Kgh559/vuzcuZPUSIAESIAEEiHgFWBsM5CAh0BcAcbMVIsXL5Z58+aZMcCYktLR\n",
       "G2jIkCGey7lJAiRAAiQQl0BIgANmNaRCcdAmzEACIQJxBfjLL7+U2267Tdq1a2dObdWqldx3333y\n",
       "ySefEB4JkAAJkEAiBKwFjHHACByKFOTAv4ZAXAE+5phjZPr06WGY8L1+/fph+/iFBEiABEggDgEr\n",
       "wLCAESjAQQ78awhEdcKyXDDj1R/+8Adj8R533HEyc+ZM+fbbb2kBW0D8JAESIIHiCFCAiyOU18fj\n",
       "WsD77ruvzJkzRy677DKzFOEZZ5whc+fOlUMOOSSvgbHwJEACJJAwAe84YFxECzhhdPlwYpQFjFWP\n",
       "zjvvPPMfInzDDTfkAweWkQRIgASSTgAdVwN2PWDETgFOOuNsjjDKAj799NNl+PDhZjWkG2+80VjB\n",
       "2VxA5p0ESIAEMkbAdUGHHrUU4IxVhR8TjhJgrII0Y8YM+eKLL6R69eoC1/NRRx0lo0ePli1btvix\n",
       "DMwTCZAACfiTgCvA7ITlzwrKbK6iBNhm58ADD5RHHnlEli1bZj4///xzwQpJQ4cOtafwkwRIgARI\n",
       "oCgCkQLMNYGLopV3x+IKsCVRTtsvqlWrJjVr1pQKOpZt69at9hA/SYAESIAEiiJgBZjjgIuilLfH\n",
       "ojphWRI//PCDvPbaa+Y/hBeuaUzO0aBBA3sKP0mABEiABIoiYAWY44CLopS3x6IE+IUXXpAxY8aY\n",
       "KSgvvPBCeeWVV+TYY4/NW0AsOAmQAAmUmgAFuNTo8uHCKAGeOHGiXHPNNXLxxRebBRjyAQLLSAIk\n",
       "QAIpIRA1DphzQaeEc5ZGGiXAkyZNytKiMNskQAIk4DMCsIDLBUTogvZZxfgjO8V2wvJHNpkLEiAB\n",
       "EshCAnRBZ2GlpS/LFOD0sWZKJEAC+UaAApxvNV6i8lKAS4SLJ5MACZBACQhECjDHAZcAXu6fGtUG\n",
       "3L17d9m4cWPckp9yyikyZMiQuMd5gARIgARIIETACnAFzoTFeyKaQJQAY/arPfqWtmjRInn44Yfl\n",
       "uuuuE6wNPG/ePBkxYoR07tw5OhbuIQESIAESiCZgBZidsKLZcI9ECXCXLl0Mln/961/ywAMPyOWX\n",
       "X26+Q4QxFSUEGkOUGEiABEiABIohQAEuBlB+H47bBlyjRg0zD7QXD9YDrlevnncXt0mABEiABOIR\n",
       "CI0DDoQsYIerIcUjlZf7oyxgS+Gqq66SHj16yPvvvy9HHnmkzJw5U3788UfBRB0MJEACJEACCRCA\n",
       "Bcz1gBMAlZ+nxLWAsRrSV199JVdeeaXs3LlTLrnkEvn666/lkEMOyU9SLDUJkAAJlJQAXdAlJZZX\n",
       "58cV4EJ1nYwaNUqGDx8u06dPl1atWpkOWWvXrs0rQCwsCZAACZSaQJQAcyrKUrPMwQvjCjDE96OP\n",
       "PpK33nrLFBvDk5o0aWJEOQc5sEgkQAIkkHwCkQLMccDJZ5zFMcYVYFi9t956qzRu3NgUb5999pFB\n",
       "gwYZUc7i8jLrJEACJJA+AlaAuR5w+phnUUpxBbhZs2bG9ewtyzvvvCONGjXy7uI2CZAACZBAPAJW\n",
       "gDkOOB6hvN4ftxf0TTfdJEcccYRMmTJFVq9eLRgfvGzZMpk6dWpeA2PhSYAESCBhAhTghFHl44lx\n",
       "BbhBgwZm9qtx48bJ8uXL5YQTTjD/y9s3uXykxTKTAAmQQEkIRK0HXFCSq3lujhOIK8DvvvuuVK9e\n",
       "Xfr16+cimDNnjrz99tty3333ufu4QQIkQAIkEIeADgMOjgMOtfZxIo44oPJzd9w24I8//ljOPPNM\n",
       "GT16tEsGizRgNqx0hB07dsjmzZvTkRTTIAESIIHUEKALOjVccyTWuAKM8g0bNsyMA7799tsF44LT\n",
       "Gd588025+eab05kk0yIBEiCB5BKgACeXZ47FVqQAYwjSZ599JrNmzZILLrjAzIiVivK3adNG6tSp\n",
       "E/a/f//+8uqrr5p9ffv2TUWyjJMESIAEUksgUoA5Dji1vLMs9iIFGGWpWbOmTJ48WWrVqiWYHzoV\n",
       "YcyYMVK/fn1Bz+tvv/3W/H/00Ufl3HPPNdtPPvlkKpJlnCRAAiSQWgJWgDkOOLWcszT2uAJ80kkn\n",
       "yQEHHGCKhUk4IJLXXnutHHTQQUkv6nHHHSfffPONLF682Lidq1WrZlZdQiew5s2bcwWmpBNnhCRA\n",
       "AmkhYAXYjh5hJ6y0YM+WROL2gj7jjDOiynDXXXdF7UvWDlja//jHP+SNN96Qrl27ylFHHSUc8pQs\n",
       "uoyHBEggIwSiBDi9fWkyUmYmmjCBKAsYwvfJJ5/IY489Jm3bto36f+ONNyYceWlOPO+884wIr1u3\n",
       "Tho2bFiaKHgNCZAACfiDAMcB+6MefJqLKAsYizC0aNFCWrduLaeeempUttFZKtlh165dMnjwYNPp\n",
       "auXK2Gw29wAAQABJREFUleLoW2PVqlVl6dKlJh/shJVs4oyPBEggLQRgAXM94LSgzsZEogS4U6dO\n",
       "phzodNW0adO0lGngwIGyZs0amTRpkln2EG3AGAM8b948swAExgQPGDAgLXlhIiRAAiSQNAJRLmjO\n",
       "hJU0tjkQUZQAo/0VE27EC7CKn3rqqXiHS7X/ww8/lBkzZoS5nPECgPmnn3nmGbn//vspwKUiy4tI\n",
       "gAQySoACnFH8fk88SoAhrrt3746bb/RMTnbo0KGDTJs2TS655JKoqCdOnGiGKEUd4A4SIAES8DsB\n",
       "K8BwQyNwHHCQA/8aAlECfOSRR5oD6ASFYUeLFi2SAu06j5mw4Ao++uijZezYsUnF9+CDD0qfPn3M\n",
       "zFtoe0aP6E2bNsn8+fP1ft1jxiEnNUFGRgIkQALpIBAS4AAEuFxAHA5DSgf1rEkjSoBtzjEN5fbt\n",
       "2+Waa64RWKFXX321PPzww5KKoUidO3c2s23BDY0lD9EejIk50O4Ll3ggELDZ4icJkAAJZA8BawEj\n",
       "xxgLTAHOnrpLQ07jCvCSJUvklltuMeNxR44caaaihHU6dOhQMylHsvNWuXJl6datm7F4t2zZYqag\n",
       "THYajI8ESIAE0kqAApxW3NmWWFwBbtKkiVkHGDNiYZjQ+vXrpW7dumZfsgsZbxhSy5YtzUtAosOQ\n",
       "MIQqnnt89uzZJv/JzjvjIwESIIG4BOw4YJxACzgupnw9EFeAsQ4weiFjOsqzzjpLevXqZYS4d+/e\n",
       "SWeVrGFIWMAB/2OFnj17ytq1a2Md4j4SIAESSA0BWMC2AxYFODWMszjWuALcvn17WbhwoZkOEkL8\n",
       "4osvSu3ateXCCy9MenE5DCnpSBkhCZCAHwgYF3QoIxRgP9SIr/IQV4CRSzsVJDpFoUd0BbuiR5KL\n",
       "wGFISQbK6EiABPxBIKoNmHNB+6Ni/JGLuAKMYUdYEhCLI2BqSIwPfuGFF2T06NFJH5fLYUj+uBmY\n",
       "CxIggSQTiBRgjgNOMuDsji5qMQZbHHRo+uijj+Stt94yu7p37y7omIX9yQ52GNKQIUPM/NOYi/rk\n",
       "k0+WZ599VubOnWuWJEx2moyPBEiABFJOwCvA8CByGFLKkWdTAnEt4OnTp8utt94qjRs3NuXBmsCD\n",
       "Bg0yrui777476WW0w5AiI0Y7NMYjQ6QZSIAESCCrCHgFmG3AWVV16chsXAu4WbNmAhH2hnfeeUca\n",
       "NWrk3ZXy7fHjx8uIESNSng4TIAESIIGkE6AAJx1pLkUY1wK+6aab5IgjjpApU6bI6tWrzZAkzFI1\n",
       "derUtJb/nnvuSWt6TIwESIAEkkaA44CThjIXI4orwA0aNDDLAY4bN85MvnHCCScI/peHGyWFAXM/\n",
       "cyasFAJm1CRAAukjAAvYHQesDke2AaePfRakFNcFjbxj5SNMyPHAAw8IOmGV0xtp5syZSS8WZsLC\n",
       "HNNwe1esWNHMWIU1gTE8acyYMUlPjxGSAAmQQFoI0AWdFszZmkiUAKPDEzpf9ejRwww5whAkhAUL\n",
       "FpiFEZ544omklxUzYX3//fcyadIk2bx5s1l5adWqVSZ9TACC4U8MJEACJJB1BCjAWVdl6cxwlACj\n",
       "7RfDj0455RQz9hdtwBgLfOihh5phSBgalOyAmbCw4EPHjh2N1Y3Vj2rVqmXanZ955hmZMGFCspNk\n",
       "fCRAAiSQegKRAsxxwKlnnkUpRLUBY0lAiCGmnzz44IPltttuk19//VVee+01Offcc1NSNM6ElRKs\n",
       "jJQESCDTBLwCzHHAma4N36UfJcDo8WzH3GL5wXnz5pm1eiGSqQqcCStVZBkvCZBARgl4BdiMA+ZU\n",
       "lBmtD58lHiXAaPNFZysEzP28//77m85Qqcy3nQkL1jeGOmHu6fr168uAAQNMuzNc0gwkQAIkkHUE\n",
       "ogS4IOuKwAynjkCUACOpdevWmd7IGzZsMCnjuw2VKlWSGjVq2K9J+4w3E1bSEmBEJEACJJBuAhHj\n",
       "gK+fd638QecVuu66dGeE6fmRQEwBxpzP3gBr1AasB4xOWQwkQAIkQALFEMAgkpBHMaAu6InrjpL1\n",
       "H1OAi6GWN4ejBHjp0qVm9aN4BDAnNAMJkAAJkEBiBNwmNBXgrQVVZOfOxK7jWblPIEqAU+Fezn2M\n",
       "LCEJkAAJhBOwcyiI7cNCAQ4HxG8SNQ6YTEiABEiABJJAAB2wEEICvCtQUfY4FUQn/mMgAUOAAswb\n",
       "gQRIgARSQSBCgLdKdZMKXdCpgJ2dcVKAs7PemGsSIAG/E4gUYKeayTEF2O8Vl778UYDTx5opkQAJ\n",
       "5BOBKAGuakpPF3Q+3QRFl5UCXDQfHiUBEiCB0hHAGGCEUBvw1sKgANMCDmLhXx2hRggkQAIkQAIp\n",
       "IGAt4NA4YCvAtIBTwDpLo6QAZ2nFMdskQAI+J2AFmBawzysqc9mjAGeOPVMmARLIZQIRArytFC5o\n",
       "R1eic7ZsyWVKeV02CnBeVz8LTwIkkDICEQKMWbAQSuKCLjitlxRee33KssiIM0sgaiaszGaHqZMA\n",
       "CZBAjhCIFODCoACXqBPW4iUitWvnCBAWI5IALeBIIvxOAiRAAskgECnAIQt4927R+fZFCv/9gRTc\n",
       "cXfclJzffhPZuk3MZ9yzeCCbCVCAs7n2mHcSIAH/EogYhrRlT2U3r3BDOxMni/PCKHdf1MbyFcFd\n",
       "v22MOsQduUGAApwb9chSkAAJ+I1ApAXsEWDjhoYKF+GPdqwAb6QA+61qk5UfCnCySDIeEiABEvAS\n",
       "sAJsxwF7BNh0xIIvuqgeWcuXB2PTXtCOtaa98XM76wlQgLO+ClkAEiABXxKwAhwI5m7b7kpuNl0L\n",
       "WNuCnTgi7FrAWFQJ7cEMOUeAApxzVcoCkQAJ+IKAK8BBBd66J0KAYQEjxHNDWxc0zqEAg0LOBQpw\n",
       "zlUpC0QCJOALApEC7LGAjdFrLd84Auys+FknCw6Zz+yI5YsqTXYmKMDJJsr4SIAESAAEIgV4VyWd\n",
       "fL/AsDGam4gFfEBrcz6HIhkMOfeHApxzVcoCkQAJ+IJApADvrih1JNiWGxTgPcFsxrGAZdMmCbRs\n",
       "GTwnzRaws2ChLxDmeiYowLlewywfCZBAZghECvCuirKvbDB5gffZ7Xy1U7/ECjipwX7BI2lsA3Y+\n",
       "+1wK2nWSwjGvxMoV9yWRAAU4iTAZFQmQAAm4BOzQIbsakhHg9eZwmAvatgW7F4Y2sH+/+sEvGzdF\n",
       "Hk3ZdydkbRcOulWcVatSlg4j5nrAvAdIgARIIDUErAWs44ALtOl3554KUtdjAbtjgGO4oB1cUOhI\n",
       "oGZNkcqV0jsdpW2b3qzjjz+Znho2jNUQoAXMG4EESIAEUkHACrBawFu3BhOwAmwt4InSU7pf28bt\n",
       "r+Vmw4pgxYoideroMKQ0zoZl00Zm1q1zs8SN5BOgACefKWMkARIggbBe0FaAbRuwEWB1MX8mx8nH\n",
       "s2qLLvsbHqxb2giwroaUxjZg8Qiwsz7YZh2eOX5LFgEKcLJIMh4SIAES8BKIaQEH24CNvu7eI79K\n",
       "sI139WrvhbrtCvA+mbWAKcARFZPcrxTg5PJkbCRAAiQQJBBTgL3DkHbLLxLs5RzV18kV4IoSqFM7\n",
       "M23A1avRBZ3ie5kCnGLAjJ4ESCBPCcQQ4H3F0wtaRXZtSICjLGDrBt4ngxZww4YitIBTevNWSGns\n",
       "jJwESIAE8pWAR4B1QSMT6oYm4njwQZH3fxtVhAs6NE90RtqAQxOENGoozvrgC0O+VmGqy00LONWE\n",
       "GT8JkEB+EvCMA7adsOqGLGB0uvp49zEqwMW7oE0v6M2btac0lkVKQwhZ34GGDdQFTQFOJXEKcCrp\n",
       "Mm4SIIH8JWAFU8cBWwG2vaABZavUkN2iw4w0RLmgvW3AtbUXtI4JxtSUaQnW/W1c0BTgVDKnAKeS\n",
       "LuMmARLIXwJWgD3jgGvIFqlQvjCKSXwBRhuwCjBCuoYieS3gbdvFiTFRSDBD/FtWAhTgshLk9SRA\n",
       "AiQQi4D1GHsEuLravZUKfg87u0nNzRK3F7TthIUr0jQZhwMBLq/SUL9eMJ+cjCOsvpL5xfcCXKBT\n",
       "su3kG1gy65xxkQAJpINAhAVcsUKBVNDlCCvKzrDUO+23Rtas2TtvBw7ahRoC2gkLw5DMvpAF7Hz1\n",
       "tew56jhxtF04JQECDOHfd99g9OwJnRLMiNQXArxixQq54oorpHr16nLKKafI4sWL3QKPHz9eLr/8\n",
       "cvc7N0iABEggKwjYttSQBVy9SnAt4EqRAlzvZzP5VJihaa+1U1GiwCEL2Pnya5GvvxFZFTl7R5Ko\n",
       "hAQ4UC8owOwJnSSuMaLxhQAPGzZMGjVqJN9884106dJFunbtKj/88EOM7HIXCZAACfifgDP9Myk4\n",
       "5IhgRq0AVw4KcEUJLj/YVFZIQAqlY+0V5rywduBdnmFItWsF47EWsPVXp8ozqDN0hVnA7AmdshvO\n",
       "F+OAJ0+eLLNmzZIqVarIgzpArn379nLaaafJZ599lrKCM2ISIAESSBUBZ6Uu47cnKLgSEuAaVYPj\n",
       "ayuFBPhUmSL/ke7StFJwwQMIcMeOoRx5ekFL3brBnbYNGHEjlEGAnS+/Etm/mQQaNw7G5f3ruqBD\n",
       "6XIssJdOUrd9YQFDcGH92nDxxRfLwIED5fTTT5f1rHyLhZ8kQALZQsArjtYCrhLs/QwXdAUdgDRC\n",
       "rpfv5FBptE9QgK1ha4roEeBA1apqkVYQZ+PGYOmt69mbRgm5FJx1vhQ++kTsq1wBZhtwbEDJ2+sL\n",
       "Ab722muld+/eMmTIELdkN998s5x//vly0003ufu4QQIkQAJZQcArjqFxwNWr7nVBN5Q1Ul7dz9Vk\n",
       "uzQqr7NyaAhzQds2YBVeEzxLEjohpXZ27AgeK81fXBvW6OyJxLYBoyNWzRqcDcuDJtmbvnBBn3rq\n",
       "qbJkyRL58ccfZc+ePbJF522rozfc/fffLyeccII5luyCMz4SIAESSBkBrwCHLOB6NfZawI1UgG2o\n",
       "tGeb8TKHCbDHAjbnoSe0HQfsuqCDbck2nhJ9In7r0o680AhwSBrQE5ptwJGEkvbdFxbwLr0ZHnnk\n",
       "EenZs6dU1F5/dbXNo1q1atKhQwdZunSp9OvXL2kFZkQkQAIkkHICOz3iqAKMuaCrVw0K8GXymlwt\n",
       "f9ubBRVr7YMaPhY4SoDrGMF0ENHWbcFrvSK/N7bEtlRknQ1x1voNWcAmon21HZjNgIkxLcVZvrCA\n",
       "0d67RgfCTZo0SVq1amXEd7OOcZs3b54MGjRIdqi7ZMCAAaUoHi8hARIggQwQ8IqjCvA21czqVYMz\n",
       "c/SXl8IzpGKNvlDhFrCnF7SebZYkhCVq238RQyld0A7mqMbUlhuCSyOGZ0a/eQQ4UK+euqDjCHXU\n",
       "hdxRUgK+sIA//PBDGTlypPYA7GjGAgf0hq1Vq5YZkvTMM8/IhAkTSlounk8CJEACGSMQNn1jyAVd\n",
       "vZqdGis8Wzg3YQt45cq9F3tFfu/e4rcgsAjWpR38tvevR4AFFjBd0HvZJHnLFwIMV/O0adNiFm3i\n",
       "xIlSv379mMe4kwRIgAR8ScAjjo6O9t2+XS3gWAJcSRdjCAkwZsNygxVJdIRCMJ2w1GL1WsCeNIIn\n",
       "JfjXxq2LOxhrOPIyOw4Y++mCjqST1O++cEFj7G+fPn0EE3K0bt1aatasqQt/bJL58+ebTlkYJ8xA\n",
       "AiRAAllDwOMe3rpDhxCp8Vu9egwLWGf/swIMPUWzLIb9mqkoywUkUL58sMjohIVhSCEBXiBtpdfd\n",
       "l8i0HiItW5aQim1ftissQdw9wcwFHRJ+44KGUGvn2EAFX8iFJ6fZv+kLop07dzYTccyYMUOWLVtm\n",
       "2oNh9aLdF7NiwSXNQAIkQAJZQ8DTCWvrzqAVW71ajNyHBNjOh4ERRmbeDYgkpqEMhYCKpFNQKM7S\n",
       "ZWahhCkFJ8tPv9WU778vhQBbCxhxQ/EjBBhtwGbsMY7DAsZ7A87bL7h2MXYzJIeALwQYRalcubJ0\n",
       "69YtbBhScorIWEiABEggzQQ87mFXgNXYjQo1dOf2300bMI6hI5a2yIlECLDY6SgXLxFp0EBmrjrM\n",
       "RBXmtjZ7EvjjFeBYQ5Fw3I4/9i7IQAFOAG7JTvGFAGMY0uDBg+XVV1+VldrJwFF/TVWd/aWl+lZu\n",
       "ueUW6du3b0KlGjVqlIwdOzbmubNnzzbDm2Ie5E4SIAESSCaBMAEOPmZh7EYF7FQR9FrA5hzMBe2x\n",
       "gK2V6kCAdZGEmasPN5ZpWM/pqMjj7PAIMIYiRfkXjQCH2p41LRM4FCkOzLLt9oUAJ2sYUv/+/QX/\n",
       "YwWMMV67dm2sQ9xHAiRAAskl4BXgHcF23Oo1opMIqADbXtA46goqLGDbAQsHQksSyvLlsvXY02Sh\n",
       "0wZ7zTKGZqMkf9DJyoZYQ5E8AhwIWcCO9oSOEmobBz9LTcAXvaA5DKnU9ccLSYAE/EggTIBDbcCx\n",
       "LGC4oPVcXYdGams/K1eAIYIeCxhtwCZox6n/lTtUm2WDj+5SuaAh7jbEGorkEWDTBoxzaQFbYkn9\n",
       "9IUAcxhSUuuUkZEACWSaADphod1WzcZt5Wqa3FSvEcOGDHXCwglhY4FNG3DIDYyD1gLWzbl72mGP\n",
       "HFx75V7BNnsS/AOBtSGmBRxajhDneNuA7TX8TBoBX7igOQwpafXJiEiABFJIAEN0nEeHSKB/PwlA\n",
       "MeMEuJUDh3aWcm+/IdveDAlwrdCQIu81EODQ2r+IzrWAjQDv7QVt24Bx6Q87m0mNwFbpVPsnmbGm\n",
       "iTe2xLY9AuwUYwGb3tBVKosTb+GGxFLkWXEI+EKAOQwpTu1wNwmQgL8IzF8ghYMflnIHtJbApZfE\n",
       "zxtc0DruKKBzGmzdGjytRs0YFjCG+WhwdOrdxo1ryhdfBM+N6gWtQr1FLemVhQ1l0ZZG0rbST9Kw\n",
       "4gZZsyJ0fkk+PAIcczpKHPe2P8MK5nSUJSGc8Lm+EGDk1g5Disz5woULdRaZ7QKRZiABEiCBTBJw\n",
       "FzDwtPHGzA+OV6pkDlkBrl4zusUv0KypGWYra35RF3RNjwUc0QascyEMqDBSJu06WWr+Wl66Vlkg\n",
       "jSqsld9/F520SHTq3pi5iLnTTLSBI+U1Pz8tjz4nSoD1JYFtwNGckrAn+o5IQqTJjGL8+PEyYsSI\n",
       "ZEbJuEiABEigdATsuFlvRyZPTM68+VL4nD6vIgQYBmXFKjFc0M2aBa/+BQIsRlAx4ZV3QQScsGiR\n",
       "yBu7zpatUkNW/VZV2lRfJQ3LBUd1lLgjls17+3bifDc7mL73rxHgvbYZF2Twwknutu8F+J577pHR\n",
       "o0cnt9SMjQRIgARKQ8C2mXpmuvJGU/jy36Vw4M3BJQM9FjCaesVOK+m5INC0ifnmqAVsxwKjHRhT\n",
       "UQY8vaAffVS9hOV2SQXZbc4/sMYaaRD41WyXWIBDw5ACR+hYYnUtOz//7MmRbkZYwJtqNJGT//e4\n",
       "PP98+Gn8VnYCvhPgPTrn6G/2Ji97+RgDCZAACSSPQDEWsGCqSATMORASYLMWcKQAY6apCmoRN2oY\n",
       "PD9kAeMLpqP0tgHr7Lzyz3+KXNP0fTlKvsYpckCttdKiXNB9PGeO2ZX4HwishsDhh5pP59sIK9gj\n",
       "wFhE4swv75JPth8p775rTuefJBLwhQBjJqy77rpLmqk7pqK+9dXVyVCrVaumU7J1kDFjxiSxuIyK\n",
       "BEiABEpPwO01bN24EVE5y34K7oGFXJQFjEG/sHDRwUmFGBZwixbBS5foZFdBAQ4OQxoyJGg833rI\n",
       "VDlNPpAKFRw5sO5aaSlL5aCDRN57L3hdwn+tAB+mAqwLPkikG1rnnA6ozxxFPPdckS9/aSEHykKZ\n",
       "MyfGYhIJJ8oTYxHwhQBjJqzvdVbxSZMmyWbtDVioC0av0tdAuJ5ffPFFeeGFF2LlnftIgARIIL0E\n",
       "QhawWa0oVspWgHEMSw1qQCcs44L2riaEMcIqcmahGcyx/MuvaoCImZDjhx/0IqifCjSsYdggmI23\n",
       "ceOA3BR4VheuEamBlZW0nfmss0Q+/lj0uYmUEgwhATZDm1q3Eufb79wLbbmcCvvIJdrJe8oUkZcu\n",
       "+Uj6yhjtIBaIu4SwGwE3SkTAFwLMmbBKVGc8mQRIIFMEsCoQQoxe0A58zd6JLSIt4HKhxy16H0OR\n",
       "YQEjNFAB1oZcLPp2wAHBDldGgFWgn3pKpKBA5C9/UZdxtxOkSu8z1DOoJyJutbIhwNDq998PRpXQ\n",
       "X2u9qxs80KljeEeskDh/u7axvPWWyEMPifzx9F+lg8wzUc+dm1AKPClBAr4QYM6ElWBt8TQSIIGk\n",
       "E4i5KH28VIpqA/Zav3p9IEKAjbULly/2Y+5JdI3GeQ0biKMWMELbtjrRBixgdJRSgX7zTZFzzhHj\n",
       "ni534QVSftxr5jwdtymiaw536SKiK7fKO+8Edyf011rAGn/gkE4iusCDY8dKhY6t2FrHRNVD1xvG\n",
       "4g8Hi657qIECbDAk7Y/2BMh84ExYma8D5oAE8pGAs2KFFLTrJOX//a4Ejj+uWAR724CDHZm8F7jt\n",
       "v3ZnhACb3egJrfsDKsCOawE3UGULWpgQYHR2Kqi3R3aVqyaaPV1gxkbo+UTcaoXDqO7VS2TCBNGl\n",
       "XLU5OZEnuhVgvACoBWwGIs/WnlzHqJqHjq3eFlw5Aj2zA4X7SlNZKVUr7ZF//7uCrtPuyUecTUfN\n",
       "9kCMXt9xTs/b3b6wgO1MWEO0t8Gpp56qb3st5OSTT5Znn31W37jmSvPmzfO2glhwEiCBFBL4eaVO\n",
       "1rxdzDJ/iSRjR2jEcEELuit7A6xUDW4bML6EBFh0ekd3zV21gOXXvRYwNHDZjgbywzadpEObeg88\n",
       "EBdGBLQvh/IANzSyNX16xDnxvtrVkNAGfYgKsAZ3PHBIgFdtqWGyapYADs3WtW+1nTJ1anDij8io\n",
       "MblH4WNPiBOasKPg6OOl4PY7I0/j9wgCibwvRVySmq/xZsJKTWqMlQRIgASCU0AaDt6226LAFOGC\n",
       "NhYwhhbt0UZbhMhOWNhnBRh+41+DE2kEGqgLWttzYV23bRt0/S7asb9s2doIV5iezmbD+wcWsLqg\n",
       "EdRmMR5tuKG7dfOeFGc7JLKmE1jTptoTu652xJodPDl0bPXm6gLxRXad0IIME/q+I0cM6yMYk4ye\n",
       "2WFhwUIpvOs+KacmeOC2m41bW4ezhJ3CL9EEfGEBR2eLe0iABEggDQQ2a8cpDe4Uk8Ulaaap0pNs\n",
       "Rybv+WgDbqO9qNDOiwCR1LBtW6gXNL4YAa4o5V4YLuWn/ht7RGABI2g7sLV25+9uJQs2NTQu5jZt\n",
       "goe9fwOwrnW4EFy9VauKnHRS0HXtPSfutkeAcU5YR6zQsVWbq7kTgwQwz6V22OpUaYFceqnozIQx\n",
       "el2HuDjvfyimTV3nx3R+Uh4MRRKgABeJhwdJgARymgB6LiNYyzb4LeZf08vZWrcxXNCwgAMtW4jo\n",
       "AgwmqABjIgsdVRkchoSdIQsYHbQCNYLtrKYXtB5ytCc0jE20u84paC8LNzYwna9COm6idP/YnaF8\n",
       "nH22yNKlep025RYb7MtDqBOYwA09Z25QOEPu6VUb9wqwia9ePWOxDxoUdKm/8kp4Ks7GTWaH89nn\n",
       "wZlE1HUuK34OP4nfoghQgKOQcAcJkEDeEAhZwGKHFxVVcNv+i3OsiHnPhwXcokWYANvOxWYcMM5F\n",
       "LykrnqFrAw3tbFjBduAOHRyZ6xwsCzfUdy3i0Kl7P2wcITc0OmIFAolZwWYxBnWVm17ZGiMsYNn+\n",
       "u45/Wux2wlr1WxXXAjaJtmpp3MqHHiqm5zWsYLRPu8H1DOhyjW+pLxxB4+QyhkEU8f5SgOOR4X4S\n",
       "IIHcJ2BnsEjAAg6zkkNr+FpAdgxwoEVzFeCQZasiaadZDjWjuhawvc58Yhwwgs6GhfCHA3fpoJ/2\n",
       "8v2v9aVjsI+U2R/2p3LQvW07YkHDdeJAmTEj7KzYX+BmttavnmGGIumnmZBDj+3WGafXbq4YJsCB\n",
       "tm3E+WGRie/PfxZZsEDkP//xRG8FGPF88uneA8tX7N3mVhQBCnAUEu4gARLIFwJYhxchkTZg9xyd\n",
       "SMOJdEHbMcBGgK0LuqJMnKhNwvqUdTtHqQvajg+2jAPorFRxHx0LHBTgjq23yS6pJLsLyssFF9iz\n",
       "Ij6tBezJB9qPF6sRW2yIEGBpd1Aw/a++FkeHI60RWOSBcAFG2/aq1eJog3bv3mI6aD33nCelkAta\n",
       "qlUVZyEGMgeDQwG2KGJ+UoBjYuFOEiCBvCDguqB1HE9xwVrJ6MEc4YK2Y4BhAQdCbcAQWozPPeaY\n",
       "oGCZ6EOdsKKSQpfjkAXccf9ge2rbRlvk8MOjzgzucAV4l3sCZtFCOzBmzioywHr3WsDYVhF2hg2X\n",
       "wqv+ZKxvXG9XZzJxqQVsgrqpMXwZU2Pi5cI6EBxYwNWr6UXacxuubBtirTdsj/FTKMC8CUiABPKX\n",
       "gFUQb/tuPBr2HLiMIwRYli0LXuVxQS//rYaZtxkdpNwQ6oTlfrcb6AkdsoAPqr9easom6dtjlT0a\n",
       "/RkaY2yHIuEECDCytXx59OlheyItYD24o8PhskoaySQ5Xc6X8bJfnV3SufPeq+CCRrBu6NNPDwr9\n",
       "J5+EzoEFjAUmdEiVeNzzTrGZCV2fpx8U4DyteBabBEhACVgBVguu2CkpQxaw6TTlcf2Co7GAq1aR\n",
       "AKzjkAW8YFWwLRjTRboB44SteLo71eGroo4VkRAq7tik6xwdILdftd5zRsSmawHvdA/Y4UrFuqEh\n",
       "wKFZuDBECvNNt5o8XFqXWyyXyqs67/P3Mve12dIoOAw5GP8BreGV1nkyg+3AKBOGP7ntwLCAdYEJ\n",
       "lMMN+zfTtwG2Abs8YmxQgGNA4S4SIIH8IOBs2RosKHr0ejoSxSq9mYZSx8NK3ToxLOCftAe0dsBC\n",
       "CHXCWrulivkKTbah3EODpdz1A+zXvZ/oRRWaD1pn4FALeIu6skOdufae5W4FalQ327YNG19gASMk\n",
       "JMDqdsZQopYtRW67TaTzERWk90XlpG7gN3lDLpZ69aG2ewOmzhQdNlX43mSzE/p93HFeAfZYwDhD\n",
       "27QDBx0oaANGT3BMqckQTYACHM2Ee0iABPKFgLWAUV7rYo5XdljAcLPC+vS4WXG6GQMcEmDbBoye\n",
       "xAhhAnxRbwkcq43CkQGWo7qgHYztsWOTQyIbear5bmeZ8szghTZbXUY9QQGuYFY6Qt7Qc/qDD0TG\n",
       "jg3Ij517S3NRH7anjdhNv46+ePy+3f2KyT+wOAM8545OvBHwWsA4t/n+xgLGXNZoB2eIJkABjmbC\n",
       "PSRAAvlCAJ2wQnMdhy0lGKv8EOg6KsAw/6LagGEBtwheFXJBr1MBxrBfaHZxASsimSksMR7ZCnAo\n",
       "npjXwgpHiBi/3Fo9xWY1peDR2H9DbcDr1omccorI0UfvPS3Qvl3wSwwBDhzY1jOjSHD2LZz80Uf6\n",
       "x20DDrmglVNAXdCr1wRk/HjHDMdic3AQrfcvBdhLg9skQAL5RQAWMCw1De5KR/EIwNo0Q4ZUgD1t\n",
       "wGFjgPXawJGHS+CkbrJ2ezXBBFKYIKPYgM5LCGgHtj2z7UxZwSPhf2NYwDihUyeRmTPDT436pi8P\n",
       "uytUFjVaTf68x4sSYONa93gM0EkLhm5QgEPeAVsOvHWoAI+WfrpKUxDAf//rTYnbIEAB5n1AAiSQ\n",
       "vwRUUAIhAS7OAoZAB2ABY5EFrwXsHQOsJOFixjzP6zaUD3M/FwXZWMB6AsYCG0FHG2qoo1Ss68wx\n",
       "jLmNsICPOkpk9epi2lx1usl1gaClihcEbwj0OFUCp54cHE7kPYBtWOT25UC/YnzziSeG2oGh5rVq\n",
       "up2wwGlPk2bykgpw984bjNeeAgyI4YECHM6D30iABPKEgINpHDG3M6ZZRFi7NvgZ7y/agGHyRbig\n",
       "vWOAvZciOm/7r/dY1La1HK0FXJT72V6M6bU8bcDYDQFG+Oqr4GfMv+qCXid6rYbI/AU6HyLlP5go\n",
       "ATQmRwZ0CvNYwDiMdmCMPV66p5m2AevLie0FrZzeWXCQrJbGMuiEWcYy/+abyAj5nQLMe4AESCDv\n",
       "CMDKdF562ZQ7AAHW9XmLnbXJtAFbAdahPDYsWxbcsr2gQ/tLJMCeFZFMG3BR7mebLtqBIyxguKAx\n",
       "yqkoAcZc0OsdnX1LQ6QFbKOO+Yk82fbp0AkQYISPpJsZhmTGAWOHCvDzb9SXFrJMTq/1pZlQBAK8\n",
       "Z49a+drbvOC6G8QJrYGM0/M1UIDzteZZbhLIYwLO2NelcODNQQKwNuGGtq7keFwwTAmdi0JjcJ2Q\n",
       "GzpsDLDnWghwogJnlvzT+Z2xIlJQgIPDjDzRRW1iCksnwgJG3yksmFCUAAsEuLDkAmx6dxc6ZjpK\n",
       "m5mDdBbLRvV3hwRY2cBybt1K5tc+Wj75tJz0r/EvCfy8Qnr0ENPmjPZi53+zxHlhlDhTvJNJ2xjz\n",
       "65MCnF/1zdKSAAkoAWe2jp+xQQU40Ly5rl+73O6J+jTjbXX93YB1QeMM2w4M4Y6wfjEdJAzmSBdv\n",
       "VMTeHXBDYyww2lkTcUHHsIARHaavnDVLy4ixzREB4oeBuesK1HrWkOgLgjnZjkuOcEN37/ybfCwn\n",
       "GAt46lSRx/44T2766mJjiV/V9nMR5XraadpEXEtk3DiNyS5d+P08E20+/6EA53Pts+wkkKcEHF3/\n",
       "1g0QFljARQiw6+pFJyztIGVCqCe08/NKHXKj13vC+vVBASyZAGvHKG0DhtjbiTY8UUZvoid0hAWM\n",
       "kw45JLhmb+SEHM7KlVJwmE5hNXeeCrBaqwEdgRVsCo6OO9Ye+1Lg6YiF07q3/kl+lQYyfvaBcuqp\n",
       "IvffLwIhvuIKFfjWtdS1v9w0m2NKzrff1hUP128Oxj5vfqxU8mofBTivqpuFJQESMATU+gr0Pk8C\n",
       "g66XwOGHSQAW7K9rxfn999iA7Go/sIDtNJDWAoapa8flhq62/blKIsDoCW1WREI7aynbgJE8BBjh\n",
       "22+Dn+7fFT+7m2v31DYWKcYpJxxcAQ4JaOjCXg2+0bWbdsg1g5uYntGY9Qre+hde0BMwHWUo3XPP\n",
       "DXoFvppdxVzpfE8BpgAnfPfxRBIggVwg4KxaZSzHwAnHS/lhT0mgenUpaNZcPpcucueN202P3Xvu\n",
       "CS+pHSMcgNDa4UFWgO0kFKFL0M6JxQoQSiLApgOTWsCYijIRF7RZxnDnLnG2bw8mFvp78MHBiawi\n",
       "BdhZre3LobBud62S5U2vs1Njeqe/RHT7rl8kl1R8S5uuA2ZijyZNgu5mDFMyQ7x+3yGOvpGceGJw\n",
       "6NJHc0Jzc2r3adMTHZHkaaAA52nFs9gkkK8EnLnfm6IHOqhSaYDR2/rWc+REmSZDX64jP2mTLpYR\n",
       "DAvW1ettA1bxMwFjYHUaRhtee02XzlWNh063amX3JvCJntAwnWE+FjUNpY3KWt0RPaGRLjpHRQqw\n",
       "yZReu0wnm1z1e92Stf8iTWsB4wXBG9TFfEOLdwULPfXr5z2g29Y1r3NCY5QSOoh9tEitYgRtU5cF\n",
       "C4PbefqXApynFc9ik0DeEtA2UBNCArxggXpJf6kk98pDsvapf8j114ssVF2wBq45F25mBLQBe1zQ\n",
       "xmWt80KbXszBM2TKFBG4W7EIgdWf0KEiP8xKQhClbWrRJuKCtg249uXAEztmqUJPaK82wwKeIwdL\n",
       "e/07/Ze2JRdg+1IQ0QkLw7c6HrjLzAl9wQWeTOgmpqNEsB3cuncX+XJNc9leTntLY3+etwNTgM1t\n",
       "wD8kQAL5QsA89HXCiEBIwJYsCZb87AqTpMavS6Rjx+B41XkhnTZHQ0sR2ok4Not23IJCw1pFCFnA\n",
       "Rsy1DRSdkWJMpxw8N95frIgUCoEEBNi4w/X8yNmwEMWNNwZfANDx6aWXRL7+WueInl8gfeVlKQxN\n",
       "gFiiHtCI1FrAEQJslhzUNw37PoBT3RASYLssYa9e2gmrsIKMqn+nAqogcz9eK889l8D81W6EubVB\n",
       "Ac6t+mRpSIAEiiHgzF8ggXbqow0F21u4dVOdXEOHFEGAEWbPDn7ir12KEONctxVW1vmdVsjoN9Tt\n",
       "bDtnwb+q4Z13zIdpCw1uJf43bC1d614u6vL99gseXan+7ogAV++IEcEyXHNNcIas9m89LPPlIBkv\n",
       "F8mfOn5hrPSIy4r+6gqwdhILBdP+vH6DBJo1tbvCPk07NabMDK3EcPzxIqfV/VoGr/uzNHeWSKfR\n",
       "A2XgQJEHHgi7LG++UIBzqKrRucRZ+EMOlYhFIYEUEFABFo8AwwLGENwareobVykWtsfyt14BFjsN\n",
       "pWZnzZZqslMqy3+/15M8FrCO8pFHHw2uMNSiRSnyjd7Yd90u5YY9qT20zy8+gjYHBGfwmvVt1LmF\n",
       "/xonV7x0gqy/7l5ZsnC3adMe1vhJWVi+g5wpk+T5HhPlzDOjLityRwAmPSYL8VrA6n42wVq6sWLA\n",
       "EC97nh4fWv8JaVn1Vzm20Y8yar97BFY63Paxxi3Hii6X9pWkE3oulTsny1J46x3i/GealF++2J2t\n",
       "JycLykIVScD5brY4ixZLuQvOK/K8fDxohvmomAbaHegWHxawWcweQvHhVNOZCD2JP/ssKApmNSM0\n",
       "pqL9V8P634Ptl3MWq2UXsoAxD/K112q/ogKRkSPdqEu0EdA5JMs/8mDC1wTQ6+kPHXTWje+irikc\n",
       "+rTIkh91sd+vpLn6xVu+MVYKdum+jmqpzlLRLLF/PJQErGBPJyxr2dq23qiM6A6MkfZO83ngjtny\n",
       "7XkPmclLnIf/KlXOvk89BxXN5CGw3PMp0ALOodo2NznGMr7+Rg6VikUpKYHCZ5+XwiuuEgcT7zKE\n",
       "EYD72YSDogXYjAVevVowxSR686ITkzscCUKLHtAa1m5Vy1fD9z9VU9f0RrM99tOmMnGiyCOPiLRs\n",
       "aXal5U/g0M7iRFjAzs8/65qEs6TcnWpNPzdMnAnvSeH5F+mbw3oJHHWkyZexZkuTQ7RNl9QChqWu\n",
       "M3AVPvJ4MEV4DbTNPHBwe9MT+pQWi8ykIPAefPFFaTKVvddQgLO37qJzHhrnhwcwQx4TwFAWHXsp\n",
       "s+fkMYQ4RQ8JsG0DxoJIcB1jIXszG5bOdSw6kwSs2csuU3fp0ODUzOjoZDs9rdtayUS+9fcKsvzH\n",
       "PbJW6smNjzUwC9ujPTOdIdC5k85usVFd5zp2KhScCe+arcC5Z0u5Pw8IivB7k9WcV2sU5x/UVuRA\n",
       "/V+agFnDPAJsXvrLq4w0bhw3tnKPPCCBXj2l8N7BwbZ0XK8eA7v2cP3Vc6RnT5E33xQ59liRPn20\n",
       "o5Y2x+dDoADnUi1jIneMJfzft+J8nmevkrlUj2Usi6OdYhCcr/9bxphy73IH4051OE2gqbpiNczR\n",
       "dxS0PaLd1wiwftjlBf/0JxHMNjlZtcvbBrx2c2XdEQzvfb2f9JFXdfrmgPztb8GJJuyxdHxi+UAE\n",
       "R3/zNphFDg5sIwFYnhqMCD//tKqv/tO27wrzZ0u5iy+0p5fsEy7ozXs7YZlZrnTmDeMOjxMTenQH\n",
       "BvTXTOq/T+HX13yg01pbhV6hvBmKBO8BdHnwYJF//UvkQs0eXo5yPVCAc6SGTceI7b9Luev0qaFt\n",
       "VYXDR+RIyViMEhP4//auBN6m6vuvc+97hofMMtZDZZ6HzEMhQyQUGlCi0N+QCCVC/Pop0q9kKBIR\n",
       "IkVknucyhsxUZI4M7/HePfu/vvu8c7v3vUdvdIe31ufdd+8Z9jl7f/c5ew177bUuXNBF1Na0y4AR\n",
       "eSleOsAM2MP8PHkyUVgY6Ww92gSNQjExoWvUYHk2L9H8+bwP64BjTNAX/g4lJ1nm/V4LG9I2qsrz\n",
       "vgaVZIvqXSfMAYOJeZihFc8JG1Uqe1XF0f0Vcl44TUbtWl77E7th5M5lZWyyC8K56k4OWDHnuQWF\n",
       "1WusPVk5AQbmoSEkcFhQxc9sZucNHUf6Ezbgfc9KPFIdxjzK9t2C7lsYcLB0qR1mjlOBGZ07kZr3\n",
       "LSH4ulAaRODCRd3otKoBK57HdRUsQianHIxNnkuQwFMRterZZ7VFlAhaMZtT7aARCKUID90fflAU\n",
       "/RdrfTFOWOcvh1JeOkODmu6i4VW+p/2569MLL8S+093ZhuOWFihiGLBeE/z7H2SUZ1NzLNJLgmLt\n",
       "S/Qmjy90/AQpkwOGMAGrOzlg2dc3sGQqX15Sa9ZZu6ABM2EeGOuyXbXqk9mWO4Kpe3eib76xMjpV\n",
       "r050+LDeHZT/+BETCgoEYH4G8UPu6PEKEb8gJufcFEpbCOiBEU4uYewoxOZWryUjaQQKtXY9B8mI\n",
       "0ozCs8kKoamQuYjNsKCFC4kQRhmmZpAREkKEQMYeeYEbNuTAVNcN2qHKW6kI+bwLl0MoN12g4U03\n",
       "08Aic6hAjghd3lf/LEcsyxNa7YrxiC5fNlWqYzzAk+UIwcnz5Aq2ezh83WYNcOwK6Pln2y+BnbA0\n",
       "wRGLPfbp4GFSi5aQ2rxF70YksdWrLbM0mPAvv8S+WnBsCwMOjn4kO9C6wTYzIzycjBaPk5r0ebxR\n",
       "coKkydKM+BDAchl2JDIera+/1U8/x3dWUO9T6zfq9ikkNvAk2wM6hgGvXGklS/Ba+sJLkWwNGEVr\n",
       "xVhsN1BNLw04l+MSqd08gRwrEYPn7e7Wb23e5WAc6tw5DgC9R9/WKJc6DJigATMpLHE6y/gyM06I\n",
       "BqwLQStnng2ytXHtiBWzjzJnInPke9YJ/P/hhzlsJfNjKPnNmllhst0Hg+SHMOAg6UjkEdXEGjDI\n",
       "MegN7b7patDk9inW9JnyL6gQiDE/G00e41GOW7btp6BqXkIao9ZvsE6zrUIxhbQDFv+2NWAwYMQm\n",
       "1ut8Y87R2Xs88gIjQMcDhW7SBmJOHDMHfPGSg3IVzkLqq1nssHXCciiKKe+LL61Z8o0xD6w14AL5\n",
       "yUh0nMmE1VxrwDj1yFF3msGEBrx2PN2GjCdbkGPMf631y3wZvRQJ12PnUePll0jxOmyFdIwxhCVd\n",
       "cNBCV77BQ1qwkTDgIOlRzHshSo32LuQ2wQnDMXUy/b3zGP02b1uQtFKa8a8I2F4rMBWyg4vamrb6\n",
       "XoeMjMl2pM6yRuhBOgZ0ulBOUVRYJ1uAiwQcfbwIwTjYrGqO/YjMEaP0odqlLnKqwhr0d2hOvQ3/\n",
       "rjwPh7P9OkKbTsk2p3pd6C5uQLOEsMXOVwjCYpQrk3o3xzw5omExA7aDayRUA4ZW7pw/hxx9epKB\n",
       "CXYQPKE5JrTxSD1y8LIpTB2oJUv1Iftf+fJEffoQffGFFdPa3h8M337HgKM5eMBf8I4QShACrjbt\n",
       "yJwxkwhOWB7B3OFFWKhPa8rJqxTDn6+rvTyX8nPtleElQXeQkwIJAXsJEjQgBF1QaUwDVhs3W2ZO\n",
       "1gK12uTZeViCxIIJ5nqh/YJiM2DtCR3tIvOdEWR+MkGf82T5E3SZslHxDlXoyy+JkH0wd4nc5Bg1\n",
       "nIzHGurpHn2ij/7pTEysKqrtbO1AKNqYLE+pUR0D5oLC4VaULXhAgxLgBW2dGPc/PKEdX04hx5C3\n",
       "iKpXY8mGw4F+A7dzb0JAFEzPd+XVTMEUX8YvGPAt5gqDBg2iQoUKcQ7NdJQjRw7KxEHPS5cuTVOn\n",
       "TvXuCdlyI6B4kaKav8CSGMGAY8zPSAiOdXR58ztpVMZhNLzqQp0NpXFja86rbVtrrZ2Hpcd9TfkR\n",
       "4AjYGnDOHGRUrUy3Tl+gRdMukG1+DfDW/Wv1tfmZtVwEfnBPy8SU8vSAhoPP/ffHk68XGjDoCi9K\n",
       "5WkdzKs2K3KAtrAGfF8hRR07Wodzc055x4B+5PxxITmeaWft9OF/o2J5Uj8us+ZkU5EBo4kwQ1sa\n",
       "8G/WmuoYj+akNh9rkg3WhKEVGx2eJTV3Ppkf/s/rcpkzk86atJt9zBAcJVjILxjw/3H4mH379rG7\n",
       "/w+8GPtvduA1OXf0aZrMi/QmTJhAn376abDgnbLtwFyV4j/22lTHTxDmr7bz0k8snXjoIaIVK4he\n",
       "r7CKBmb6mGChZnipHY8V69ZZ0WaQMk0oyBCImQNGslejahV6jd6n5p1y0ewS79C0Afv1cxBkLfZq\n",
       "jnbA4ukXo3C4jlmMbD2u3n3JHD3G0trYAQvOu2vWENWvT3HICOdyHqTjam//mSpkOUqbtxg6wxAY\n",
       "N8yi/kTaEQsmcSb3vGpqVRDTG3DCwviTDO03vuo5Ro3gRBStyOzTj8zhI71OwbjWurWVOSloliax\n",
       "K7nPKTw8nKcw/4y3Hps3b1aNGjWK91hidjZp0kRVrlw5MUXiPdc19iNl7tgZ77G7vdP141IVRelV\n",
       "VO4CKiokTO195X8qZ06lihRRjKdVm+gXuqiofPd7Vc00lRo5EsOQUtu3ex2SjQBHILrfABWVMatu\n",
       "xdxZt3QfOylKhdE1/Tt7dqVefVWpffsCvKHxVN+MiFBR6TKr6DcGKdfUaeoS5VSug4dVVFg2tTVD\n",
       "HTWRXlaL31itFiywnv1p0+JexIyMVFEGv1N4r/jj+s9o/X5Ft38+7sl+tMe1+Eerzo4MyrxxI1Vr\n",
       "5vp4vHWvgkVUdJPmKX4vMzpa6XGL8Y/u9RqvrOMBK4ZOn1YqWzalMmVSqm9fpc6csY8k/btixYpq\n",
       "xowZSb9AMkr6hQYMU/Nq2ITioUXsApcb9h4f098H/qB6taNpVp9t9PfoSRRhCZt3vVaIGOMm1npB\n",
       "s8/Xp7XRNemFpe10khNovvZ0sIGoP2ye9lwPimmcHj2IzfzE1gV9CfkXLAhAA2bt98QJoi7dQqlq\n",
       "pn00jvrQDcpErQttI+RjxawOlnjAuzSoCA5n7MSDaE8R2fNRYTpCvV+JpHM3MlOTyPn0Mk2gpu/V\n",
       "o5YtWUvkdwAe0LHJSJ/eenmw3KZgATInfsbrXy6Q0ZoXpvox2Z7QVIQD8SCXYmoSNGAQr6lOqAe0\n",
       "VSBh/xHW0vH5RDL69iI1jhOLdOysE2SgdL58pK180IQ//JCnowsT9e/Poc99NB4nrEV3OCsZzDvF\n",
       "iu7YsUMVL15cValSRbVr10517dpVtW3bVpUtW1aVLFmSPf1PJPteSdWAjx5VKk+uaFWb1mkNIoRu\n",
       "qQxGhEqXTqk6dZQaOlSpZcsUp+JNdhX/9QLmho1aOnd9NkWfG9V/kNpPJRXqFEo3df0+/9z7Mq7v\n",
       "Fmpp1dy6zfsAb0ETcjqVWrMmziHZEaAIRDdooiIq1VLVqimVlRXhIx3eUZGUUU2n59W1klV1q/Cs\n",
       "whjkcCg1ZkyANjSearuGj1RR0AD/+kv9+MkR/T7AylOUDqt0FKlW0qNq/YoINWuW0lpwPJfQu6Kf\n",
       "aq+i+/ZX0U1bWJpelpzKvH79dqf7zf6o/OEqutXTqV4f88gRCxdYCEaMStX7uUa+Z92rak1lXrzo\n",
       "dS+uhurUSSnDsKx+M2d6HU7whi81YH48/YMi2Hy0atUqxfO+avDgwfp7DXMGT/NDcmqaVAYMa06j\n",
       "8mf1y9zBMV01o0Wqs/G56tfnFgsMFgPDS44PTL9vv6044E7iauphYYlT0DV3nn6ptFlmyDDFicDV\n",
       "Umcz9VyjMyrMGaGy00WVia6qXHROFb4vSkVFeV/C/O03/QC7Rscdaa9eVSz4KJUvX8qYcrzvLFsp\n",
       "jQCegdhk/rxDRVWoqqI+nsDZB011657cqkvJ9fp5nDNHKdeMmdYAVrOeigrNpMybN/Ul8Fy3aWM9\n",
       "t126KPbni33lwNuObtRMRZWtpCv+ererWiht4Vioqju3qSmZe6qo8IcS1SjXsuUquv9AZR48lKhy\n",
       "vjrZ3LhJmYcPp/rtTR5kMOWlTfRfpr7p1vXVLOte/B0frV6tVCXudgicLld8Z9x5ny8ZMMde8z3B\n",
       "C3rYsGE0ffp0Tg12CkIBB0gPY/NCYerbty/HWX3BZ5WENWdRm2k0f9cOamwuZUMex67j4c3ZpgQZ\n",
       "Y6rrJQm7dhHBO2/JEqIRI4hmzLAcPGAuQZYumIMP8eqAjRst0xccOM6dU3T6WCQdO+6gA8fSU4MG\n",
       "RE2aWFlZ2DNfLxfCkqFsI9bT6t1laFzmaMpo9iCXswddcOWgrMuv0JOZltLOqFLU9eYn1ChsA4Wu\n",
       "3E6IpudJBnuWU+WKZLJrv+P1Pp6HCJ6Fc+aQTqMGBweYpVG3EiU4vjtfB8MzMsHk5OWP1ap5FZWN\n",
       "u4wAEqwff38efd1tNeW6N4Ty5FF075q5lPvTYRQZ5aSWPR+jEz3ZKdU8RFf2Z6OBA4meeor78FZr\n",
       "cmTNqoOymLxEB5GGHC+/RBn54UTfDx5s5bDFMwzv0goVSD8Xd7l5yb4dj7ykNm0mo+Pz+lorNmei\n",
       "GiGbaF40B39o+Cg/wFV5/crTibqPoyG/lPgECBk1qt+VmuqQnfBEY0eshK4BTk7FjDatiJDfGkus\n",
       "4qF69WCWVnT990vkcPBgFUAUa7j2Tc3hBX2GQ53AC7oIz2FgCRK8offv30+9e/fmtFSR1K1bN99U\n",
       "ju/qOLCPWtO31v0RY5XDvamfdxAeeIxtbIqmOpWuU8+embWHMa+o0swYkdp4XIghRcULXqPImw7O\n",
       "9BHG63MvUX46TQXpFNVrWYoW7ixEWKcbl8bqXU1dyym/OkW3HipJTbvdT82GVqMMl/4k46UXSE2b\n",
       "zpy7BIU8ELc09jh4/socNJgUx2/VDNnjtDK8Zn/KFCsebocO1gFeCUbFi/NKjHORdPJMBr3zPl6d\n",
       "gZRtYMz4sHykz2ne3GLaEBo437deegmPa/D9Yjz9jDV7V79bSVn6v0q3liyjbacLEQZ7LJO6QwpR\n",
       "jxoG1k+EG4aHJoSWY+woCiwQIRDBGypVsjzU0SLkO8V0Y2zC0rAdO4jmziVekke8JM/C0PVZNppy\n",
       "5ms6PcR+ZXkSk8BQLKaSw7xI/bNOpEtXHFRmcEt6dVgefWmDL4IlOfYyJPXOu2Re+oucH43R86AQ\n",
       "GFEvBMCvU8eq04svWvdFW65fJ0IGutBQxc+2QUeO8PPkYAHUaX3DjwACG+bgEKMB3vd4J3AcHzwH\n",
       "YOoQ5jDvimN4fmITjoNwTmIIOQF+/ZXzz39zktZf+w8dW9uCjhcF9gYN78WV2VWbjLZtyNHZd0J8\n",
       "YtoTKOcaPEeuw1GmsBd0fO3HM0zh4dYa5/hO4H1mj16UYfpXpK6c/yfIx23O9afdbD23H33fVQua\n",
       "Lns7s6bIqmIs2sLBQIcMGcLMKV7uFOvs22825YzP53kU3I51Oomk6ApV9ZIGLfG9PYjU5Cl6RHEM\n",
       "7E9G185kDniT1BfTybljCxksQNiEwQGD7+m5GyhPnw6UN+MV7fkUfU92Cm3ZlIzC4WQOG6kzlziX\n",
       "fM/MS9HxwVPIxZlX0hfOT6GXz9GhzzbQja496blZLXQdHHO+IsdTrTmv5npyNWxKjv+O4oABnxKW\n",
       "IThnf2Xf2utbcbBzV7HS2oPB0be3rrMB9TeGEE7PtXgZHarXVWvy0Ob3bbtG6VYvoxY1L1FUp5do\n",
       "+XIrcTkECs1UmVEcPWr9xoAMQns9CUwbTDnihkkl1AE6aBSjaJ6xBsGvrizLMni3eAWazgXKjwF8\n",
       "SOiBBzhSHQsGOIYlUxjgcW1emaYZGiwLSK6Ca+McECwVEArAEMAESpWyGId1NO5/MEAM3LgWrg1m\n",
       "A+aHb8SeRdRBMEh847o2IT/sTz8RC4cW07EZEb7XLY+kOd+lZ+Yal4uAseBNs5dMIl8C6grs8MG9\n",
       "IOBs3WJStIt3xCGlBbbvSr9Fec7to7OX09P5l96gc1Ue18y92S/v0UNfDmHOmZ1CLv4ZpzR2mAt/\n",
       "IMXrK9Whw+T87Qgzu3/qCWFr2bfXacnWnDrYBM7HI4I6Xrmi6OYNF5XM9BvVaMccNSRUC5bADe04\n",
       "cMA6j+W7OLEvcJ3YhD7DdfFBv7HPmLYQgdkj9CP24QNC0AsIIRga0Odg4KhXWLooyrhuKU3bVpJ2\n",
       "Ximiz81Gf9FDFTJR0eLp9DPQs6dVVh+UfymKgIsZnpowiZyRf5NOK5iiV497MVezJ0id/pNCdm7z\n",
       "OginVPPd//Bz/TEZA14nJy9jSixVYgn0tdde46xYzya2aLLP9wsG3JzVqGeeeYbat28fp0FvcQiU\n",
       "E8wg2E08zrHE7EgqA4Zpy5WZgxpwQmmk+DIaNdBZVlwD3uIRdwOPCiBSewMAABldSURBVMxJoN5A\n",
       "gi9bmhxtnyKjZw+t4qhZs8lkxky8jpCKM1fA2rmoaHKuW6E9NVF/rHUz3x7GakgFHaBcJ9POzCPT\n",
       "NR6NQBxcw3nquE4vaPYfRM7tG8mAesXEnl/WiIVsIsivCW5yGzJXrSY1gh/U1Wv1IG38X3euQ01d\n",
       "T/P1AcwFD5BjwVxyPNFcTwGYz3UiNXM2c4Z05Pz9KBnxeKIjYBnkol9/ukrR02ZSrjL5KP9LTShv\n",
       "wVDtqbh76RnKGnGGwnZuoh1sKq94i71wXy5B93Z+XHsuwsR+8+JVKpjXRYXKZNMaI7TG48d5PzM6\n",
       "EDu7sTneYhTQsjFAw7IABgqm94+FwTrf8z+YHQZ5lMMHmhc+ECDALMBsE0K4DwZ9MIXz5xXf8x/G\n",
       "5Vk+jK7Ti/QF1WqRnS6t3UtFr+yiAkVCKd9HA+mex6prr+Ml07jyzOkL5r5JV85HkVmC07GFpKMr\n",
       "l6Jp78KTVOuvRdSAVlIp+oVyOy+zoNaYnIXy6wFG4flDtpsSxcj59QwyyrKUEkOKrUSuaqztcUAD\n",
       "55yZ9u443+aXM9ir9CVybl2v1wnjBHPB92R26aalIMf0qeQ6eYpC6lQn4nXEYNJ2GX2xgpx8nU26\n",
       "Rv26ZNSrY5kx+P00ihbVh//e/ztdd95DZuasGmcIKtCagSEYNhiqrVmD4UI4O7v6AOXPdZPyNi5P\n",
       "iLMMbRofCCycy52QXwJ9jg8bxri84mNWH+RxXKChGf9L1SrdonLjXiRHKmUB0o2Tf24E1J69Wglw\n",
       "vNrdvS81f7he66eTyzivXnQLjrBCup5oo6U+o1MHckwanyTtN80z4J07d2oGnIXftqL8It/DNq8r\n",
       "/KYeYNEaoSkX80Tk/ZhzSAYlmQHz6OF6kBnr5PHkeOlFrxqoteu0Bos0Z0gBaPZ9w1LLEDMNTBlp\n",
       "uzguq4MfDuOFDiwxTtZmGyc/KDYhdq3ZlR9iNgsiio/R+QVyfspaCkabQ4e1emAHj7fLJOcbsYEx\n",
       "D6hYG9JCAy7mZI0L6gVUsUIFOffXPi0AGE0fI7WYOSxHVDLKlLYYN1SRe/lcFjx0wHc+33yOzeAr\n",
       "VzFnY/W4VAly8iBOHInJVb4qJzJnFYkJ+Kl5HLWLMXPu2q6vAauByS+Wzt7TpBEZvV5lAaehZnCH\n",
       "RsyhS+98TJXvv0CnT0ZRBoqkPK1rkXP8OPo7IpQiV2yk3NdOkOniUZrrHdmgKUXcW1gP0NDIMPAj\n",
       "1i/SzYFZ4wPGi4/z5FG699gWeviNunThxDUKzZyesoTnpCz579EDPsqAUYA5XGaTLjRjfG4cOEm5\n",
       "139LlSPWU7kSNylL6E1y7dlPJjnIVbIUZX+yPmVYsYjVWG5flUrc789zAIixHLDgJPd/Rw5E/wSZ\n",
       "7Z5juy7fwCbGydH7/3Q2KzV+IjlGDiOj/dNkLl3OqWC2WdGNkGiDBSznT5s0hlp48lTLY66FyGjA\n",
       "4k4aCfLFuvLep+3FiDrkaNqYXE2f0EtuNFiH2axhU/58ZDR4hNT33KYHHyDHO2+T+nyqldP1InNF\n",
       "ENIe3oggx4ihPMXxB1uHPrc4Z6mSZNSqqZ0ZFCdc1xyVTQuaaUO4ZOFRnWNzIav+WijEtao/rKdL\n",
       "YC7XZRh0B+NGpflaeP5Y8DSHDCPFQTUi8hamiA/HU7YWdd1WEFxCKDgRMFnbNrv1ZGWALTc812HO\n",
       "nkvmC120RO5kxSE52Z/SPAPGI4N5Xpihoe1iPhhrfx9km1wdnpjyNJUl9fFKMgM+dJhcNeqScy1r\n",
       "rTyo/BuZy1cQNFWjTi2L8bJpOKGkWOxP9TV8MZWBQ4MCh8KAzTZBxeqI2fkV1mSKaE1ea/uszWtm\n",
       "vfhHtqWzQAFVJCIy3uY4PvmQsCjPfOkVS/iA6gKux1lOiAd150l2oGD101W6osXAOX0aXb2mLQpG\n",
       "3dpk/m88S7LMaIo9qAUdHbkI3JIFE2PIm3qgRnxerYpiP0IFxiZ2NnM8zU43j9QjBfv0AR7ImfkR\n",
       "UrWx+Qrf2oYdCUbFGhTUYghJNt3DdUb7oXrBWsEqtGPoW5xhhuf8lzFD5JylsFTgHiYzIjAER6uW\n",
       "ZLR6guypB8U2WbViFRktW+iYw4jEZA57lxQ7UWkBhZmaY9pnuj3Awxz1XxaGFusaYDrDOfETuzb6\n",
       "W+f3ZcGMXwJ+pmp7HUvqhvntd6Q4zrFavUYLPxDAnDu2amZqfjaVHM+2J63h4Lyly7WvA/rXwNwA\n",
       "k5612vuLZpwISYh8rjiPQpxkdH9ZW0sQk1nndsXzVaWyvjYYLm3h+8CuzzjobxYIjRc7kVGzOpn9\n",
       "BnL/nOH5iVz6XdMCxWY+36YYZm907qQz6hiYnBZKEwiY/KyajzQmgxUdCHNqyjSi2jXJOe/reK1z\n",
       "iQFFGLAHWtB4r7Lkmx0vaQpSUhlwClYhKC6loBqePaeZrGZqzMh1QHoMskzQsPRAyowH882YUFUr\n",
       "V5ODtVuQ+fUcMtt30J7Zzg/e44SrNbXZSLE9Ws2dR+ZHzIC2/aQZpHPTWh64w3RweQhhiOVrdu/J\n",
       "k7tZyPHG62yKLc7nsdbOVgRo1+acb6yy+k4x/2DO58HegFUCAfrZpI/gJBA0XJ26sGc41zE8XDNc\n",
       "hUltMBS+Fxix+oEFDzBiHvghJCDFn9GlMxncpsQS5tnVzztZUi/jZmT2NZBCTn23kAMP8Px85sz2\n",
       "7lT/RgYtNWeetlY4nnsmyfeDkKHGfUwGT1/o/K4xV7LdSzwFaOzz2uZ+1042XEYzXH73PVPpaQEK\n",
       "mjVS7e35hQNitCRH48eSXFcpGJgIKLYougoUZqGehW+eFoPQ5hj3wR2tPQltaZpnwFiGNHTo0GQv\n",
       "Q5o0aRLNnBn//NeePXt0kocjmJAS8ikCOmA+M+zbMTIwBsyBGw9aGldiKqs4lZzatIUMmMlhBs2V\n",
       "KzHFvc7VeUn37GVhoZKlsXodlQ1BQBC4mwhoq1YIpy6EJ14Kki8ZcEgKtiPJl0qpZUgcQYvTVXWN\n",
       "tx69evXiaVk2gQn5HAGECrwT3cmZ7E7lcAzzQ8bTbf7ttAQdN2BGr1kjQefKSYKAIJC6CNjOp6l7\n",
       "l7t7dbbf+Z6WLVtGEydO5GUpZXmKL7M2UWVlKad69eo0btw4WrBgge8rKTUQBAQBQUAQEARSEAG/\n",
       "YMCBkIwhBTGXSwkCgoAgIAgIAuQXJmiEocQ64LFjx952GZL0lSAgCAgCgoAgEEwI+AUDrsCx6rAW\n",
       "OPYyJISfTKllSMHUadIWQUAQEAQEgcBHwC8YMGDMwEs76tevHwfRgwcPcnyAGxxPtkKcY7JDEBAE\n",
       "BAFBQBAIVAT8Yg74TuDN5aj048dzkAYhQUAQEAQEAUEgiBDwGw34dpgiFrSQICAICAKCgCAQbAj4\n",
       "nQaMSFh/Icq/kCAgCAgCgoAgEMQI+AUDRiSsQZxEtxAnD03HcYlzcP4x5ATG8qSpUznmrpAgIAgI\n",
       "AoKAIBBkCPiFCTqlImEFWd9IcwQBQUAQEASCGAG/yAdcmLPoYAlSXqS6i0VbtmyhIUOGcN7ZpbGO\n",
       "JG5z9uzZeq1xrmTEBk7cHZN+NpJRwCrgQKKBNE4uTvjrRDLZNE5IYmByQl3BwnoQgAVI3hHkxJZ3\n",
       "xHoqkG40WmfSs7cT8n2ZM5ht3LiRKle2EsokpExKneMXGrAdCat9+/Zx2rVo0aJEAxrnIryjbdu2\n",
       "+hPfMX/bN2bMGJ2KsXnz5v5Wtbten3r16tGaNWvu+n397YaHDx+m0aNHExKOCJGemoIw0qEDZ9ZK\n",
       "49SsWTPCapEwZA5L45SNU4ieRS71ACG/YMASCStAnhappiAgCAgCgkCKIeAXDFgiYaVYf8qFBAFB\n",
       "QBAQBAIEAb9gwMDqdpGwAgRHqaYgIAgIAoKAIJAoBMTLJ1FwycmCgCAgCAgCgkDKICAMOGVwlKsI\n",
       "AoKAICAICAKJQkAYcKLgkpMFAUFAEBAEBIGUQcAv1gGnTFOC5ypXrlyh0NBQWVbAXfrnn39Svnz5\n",
       "gqdzk9gSrG/EesVAWMeexCYmqti1a9f0+ZkzZ05UuWA8+cyZM3TvvfeSYRjB2LxEtWnXrl1Uvnz5\n",
       "RJXx5cnCgH2JvtxbEBAEBAFBIM0iICboNNv10nBBQBAQBAQBXyIgDNiX6Mu9BQFBQBAQBNIsAsKA\n",
       "02zXS8MFAUFAEBAEfImAMGBfoi/3FgQEAUFAEEizCAgDTrNdLw0XBAQBQUAQ8CUCwoB9ib7cWxAQ\n",
       "BAQBQSDNIiAMOM12vTRcEBAEBAFBwJcICAP2Jfpyb0FAELgtAghIExERcdvjckAQCHQEhAHf5R6s\n",
       "UaMGORwOOn36tNedly1bpiPZfPLJJ177g3Hj1KlTuq21a9eO07wuXbroY+fOnYtzLK3taNCgAU2a\n",
       "NOmOzd64cSOVLVv2jucE2sGVK1fSgw8+SCVKlKBChQpR5cqVaffu3YHWjGTXF2NBlixZ6LfffvO6\n",
       "1qOPPkqzZs3y2pfWNvBe4P0IdBIG7IMezJ8/P3377bded547dy7lzp3ba18wb0AIOX78OCGMnk0I\n",
       "t7hhwwZ7U77TIAK3bt2ip556iiZOnKiFVAhizz//PD355JNpEA0ivBOvvPJKmmx7Wmi0MGAf9HLL\n",
       "li1p3rx57jvbjAfasU379++n+vXrU9asWen++++nsWPH6kPQBDp16kRNmzal4sWL0/Xr1+0iAfWN\n",
       "uLXNmzf3EkRWrVpFsbXiadOmaU0IMX8rVqxI27dvp5s3b1KFChXojz/+cLd5wIABNHPmTPd2sP2o\n",
       "U6eOFljsdtWqVYtOnjxpbwbNt2madOPGDUqXLp1uEwS1Hj160OTJkzUzws61a9dSuXLlKFu2bNSq\n",
       "VSu6cOGCPnf06NH0zjvvUKVKlei+++6jwYMH6/2B/K9JkyZ09uxZ+uqrr+JtBqxJr7/+OkGohyUE\n",
       "7xDou+++oxdffNFdBuME3pmrV6+69wXLDzwvEFIKFChAOXLk0AKc3U5YC7744gt64IEHdEz58ePH\n",
       "+1WzhQH7oDvq1q1L+/bto/Pnz+u7w+SGATUkJMRdm+eee04zWZiqwXz79etHly5d0nNiM2bMoKpV\n",
       "q9L7779PmTJlcpcJtB/QajwFkTlz5ugB1W7H4cOH9eALxvr7779rU+Rbb71F6dOnpyJFitD8+fP1\n",
       "qRBgpkyZQmBSwUpHjhwhaIc2xd629wf6d4YMGQh9DOHzscceo48++ojAZDCQ4v3AOwPBDe/DgQMH\n",
       "tIA6atQo3Wwcwzvx7rvvEt6pBQsWEN6VQCan00kTJkyg1157zS1oeLbnmWeeoYsXL2rB9NVXX6Un\n",
       "nnhCWw4gyMKqhnl00OLFi7WFDSbtYKNx48bR0aNHaefOnbR582bas2cPzZ49WzcT+zF+LFq0SAtx\n",
       "ffr0cWPiDzgIA/ZBL2AggQYLKRWEF6V169ZeNcEcB146MJvw8HDKmDGjm2FjkBo6dCg9/vjjXmUC\n",
       "bQODLDR6DCBgotBssM8mZHjZunWrltyhCZUsWVJnR8Lxdu3auZn3mjVrqFixYlSwYEG7qHwHMAJg\n",
       "wJjbhoUHwieELdsCBKGrVKlS1KJFCy18vvnmm5q52M2FcNu4cWM9h9y+fXu3kGYfD8TvKlWqUJs2\n",
       "bah3795e1YcFaN26dTRixAit/XXt2lVrepjegiYILMB4QN98841+Z7wuECQbEEK+/PJLypMnD2Fs\n",
       "hP+A59QWhDU8SxgvYVGM7X/jSxiEAfsIfVv7A+NZvXo1PfLII141gTQPKRYPFUxMLpeLYJ4DBQuj\n",
       "QcpFaDkQRKCx1KxZ0216RDshrUOSBXPFCwRt2cYALxOYN8xzEGDatm2LIkIBjgCec6QahIUHmg38\n",
       "BKDJDhw4kA4dOqSnHfbu3aufCTwXeEeQphFaMqh69epuBGCKPnbsmHs7kH9Aq1+xYgUtWbLE3QxM\n",
       "QcBJDaZXm6pVq+ZmMBBA8M7Akxxlg3UeHVaCXr166ZSMzZo1I1jO8BzZBEHeJlgMo6Ki7E2ffwsD\n",
       "9lEXNGrUSGt333//PWHu157zQnVgaoZG3LdvX/0ygTkppfQHx/HABQthDg8DLDQb/PYkSLWQ3DGI\n",
       "IC8wJFngAIJFAEwY+EHKh+NOoNOvv/5K8AK3CXNb2bNn15voc8x9gzC44BkJRoIw5mkFQRthci5T\n",
       "pgwdPHhQM2a8L3ge7M/PP/+s50BxLkzzNv3yyy/aemRvB/I35rvHjBmj5zrt+U04bUKbgwBiE9pc\n",
       "uHBhvQlzNDRkYArh1n6W7HMD7RtWL9vvA3Pa0PJBmP/FbwhmaD+EN3ucwHF/zpMsDBg95AOCqQRa\n",
       "b//+/eOYn+1k43Czx3lYchAZGelXkltKQQZz4aZNm7QVAEKJJ4HJwJxUunRp/ULBmcJTesULiUEJ\n",
       "2rGnlOt5jUD6Dcch9DWYCOa84Yj30EMP6SagfVu2bNG/IZR44hBIbfy3umKuF5ru8OHD9VwdhA2Y\n",
       "VCGcgPHincC0BOb7QJjjxTNkW0ag6YEpYe4TQl3Dhg3/7ZYBcxymVjgTwRERVLRoUc1sP/vsM/1+\n",
       "IBk9hBFowSA4LmKMgZke70qgE575r7/+Wj/7cDbD2ADCFBZ8aGAtBINevnx5wLwfwoB9+FRC48Nc\n",
       "BcywnoSBuGPHjtrTE2Y0mJ3wUmFgCjYKCwvTLw88nCFseBIGHLxQ8HjFvB/Wg0LrgWYIAsOGCTpY\n",
       "zM/AAlYPmFExuHTo0EG3HW2FCRY+AdBuYHKHUBKMhDk6zOlj6iFXrlx6nheOM9DicubMqS0fI0eO\n",
       "1KZnmKDhdAUnJdsqBJMsvH0hlAHD7t27BxVMn376qdtahjbDSoT1wlgpgfcBvz2fDTBevDOYMw90\n",
       "6tatm3a2hGABARXvAwiWMfgNYIyE5RCmdpihA4EMVtUtm14g1DaN1RFmFphPMDCnZYKEC/MZHLE8\n",
       "CXNbGGRhegp085pnu2Bqhm9AbA93aACwjgRTWz3bHfs3+hfvABhxbIJmDNMrmLJNsCbBaRHLj4Bh\n",
       "MHr82m2N/Y310jBJ+7O5NXadk7oNy5htfravATaGcSK+Z8U+xx+//1n34o+1S+N1ij0Ap1U4PAdZ\n",
       "GwOYHqdPn67nfoONIYGJ4BOb4LQWbG2N3UbPbczz4xMfQfuL77nAufCn8PSpiK98sO2D+TWtUGzm\n",
       "i3ZD8Ag05ot6CwMGCkIBhwAGHJiaOnfuHHB1lwqnDgJwxLNN0alzB7mqIJCyCIgJOmXxlKsJAoKA\n",
       "ICAICAIJQsB7Ui1BReQkQUAQEAQEAUFAEEguAsKAk4uglBcEBAFBQBAQBJKAgDDgJIAmRQQBQUAQ\n",
       "EAQEgeQiIAw4uQhKeUFAEBAEBAFBIAkICANOAmhSRBAQBAQBQUAQSC4CwoCTi6CUFwQEAUFAEBAE\n",
       "koCAMOAkgCZFBAFBQBAQBASB5CIgDDi5CEp5QUAQEAQEAUEgCQgIA04CaFJEEBAEBAFBQBBILgLC\n",
       "gJOLoJQXBAQBQUAQEASSgIAw4CSAJkUEAUFAEBAEBIHkIiAMOLkISnlBQBAQBAQBQSAJCAgDTgJo\n",
       "UkQQEAQEAUFAEEguAsKAk4uglBcEBAFBQBAQBJKAgDDgJIAmRQQBQUAQEAQEgeQiIAw4uQhKeUFA\n",
       "EBAEBAFBIAkICANOAmhSRBDwJwRat25N99xzj/44HA7KlCmTe/v8+fNUpEgR2r17tz9VWeoiCAgC\n",
       "jIChmAQJQUAQCA4EChUqRDNmzKC6deu6G3T69GnKnTs3hYaGuvfJD0FAEPA9AqIB+74PpAaCQKoi\n",
       "0KFDBzp27Bjt3buXOnbsSN27d6ecOXNS48aN9f569eoRGPfYsWPd9Vi7di2VK1eOsmXLRq1ataIL\n",
       "Fy64j8kPQUAQSBkEhAGnDI5yFUHAbxEA842MjNSf6dOnU3h4OO3YsYPOnj1L1apVo8GDB9PChQtp\n",
       "xIgRdPPmTYLZunnz5tSvXz86cOAAZc2alUaNGuW37ZOKCQKBikBIoFZc6i0ICAKJRyBjxozUv39/\n",
       "XfDRRx+lQ4cOEb5BuXLloj179mjmXKpUKWrRooXe/+abb2qG/MEHH+ht+ScICAIpg4Aw4JTBUa4i\n",
       "CAQEAvnz53fXMywsjIoXL+7eTpcuHblcLvrjjz+0ubpYsWLuY/hx6tQpKlCggNc+2RAEBIGkIyAM\n",
       "OOnYSUlBIOAQcDqd/1rnqlWrUo0aNWjZsmXuc+HIlS9fPve2/BAEBIHkIyBzwMnHUK4gCAQVAg0a\n",
       "NKCtW7fSzp07dbvgVQ2HLdM0g6qd0hhBwNcIiAbs6x6Q+wsCfoYA5olHjhxJtWvX1iZnbE+YMIES\n",
       "oj37WVOkOoKAXyMg64D9unukcoKA7xDAfPDly5f1kiXf1ULuLAgELwLCgIO3b6VlgoAgIAgIAn6M\n",
       "gMwB+3HnSNUEAUFAEBAEghcBYcDB27fSMkFAEBAEBAE/RkAYsB93jlRNEBAEBAFBIHgREAYcvH0r\n",
       "LRMEBAFBQBDwYwSEAftx50jVBAFBQBAQBIIXAWHAwdu30jJBQBAQBAQBP0ZAGLAfd45UTRAQBAQB\n",
       "QSB4ERAGHLx9Ky0TBAQBQUAQ8GMEhAH7cedI1QQBQUAQEASCFwFhwMHbt9IyQUAQEAQEAT9GQBiw\n",
       "H3eOVE0QEAQEAUEgeBEQBhy8fSstEwQEAUFAEPBjBIQB+3HnSNUEAUFAEBAEghcBYcDB27fSMkFA\n",
       "EBAEBAE/RkAYsB93jlRNEBAEBAFBIHgREAYcvH0rLRMEBAFBQBDwYwT+H5kVuCR5tKENAAAAAElF\n",
       "TkSuQmCC\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%%R \n",
    "HAR_RV(spx.krv)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "(c) Tabulate the HAR-RV coefficients for the two 2008 datasets.  Are they similar or do they differ?  Is most weight on the 1-day, 5-day, or 22-day RV?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### <font color='Blue'>Solution:</font>\n",
    "\n",
    "<font color='Blue'>\n",
    "\n",
    "|   Coef     |  DJI RV   |  SPX KRV  |\n",
    "|------------|-----------|-----------|\n",
    "| $\\beta_0$  | 4.432e-05 | 7.164e-05 |\n",
    "| $\\beta_1$  | 1.586e-01 | 1.523e-01 |\n",
    "| $\\beta_2$  | 6.213e-01 | 5.512e-01 |\n",
    "| $\\beta_3$  | 8.721e-02 | 1.501e-01 |\n",
    "\n",
    "They are similar and most weight is on the 5-day RV ($\\beta_2$)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "(d) Using *quantmod* download daily VIX data.  Subset this data to 2008 and plot ${\\rm VIX}^2$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### <font color='Blue'>Solution:</font>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAAeAAAAHgCAYAAAB91L6VAAAD8GlDQ1BJQ0MgUHJvZmlsZQAAOI2N\n",
       "Vd1v21QUP4lvXKQWP6Cxjg4Vi69VU1u5GxqtxgZJk6XpQhq5zdgqpMl1bhpT1za2021Vn/YCbwz4\n",
       "A4CyBx6QeEIaDMT2su0BtElTQRXVJKQ9dNpAaJP2gqpwrq9Tu13GuJGvfznndz7v0TVAx1ea45hJ\n",
       "GWDe8l01n5GPn5iWO1YhCc9BJ/RAp6Z7TrpcLgIuxoVH1sNfIcHeNwfa6/9zdVappwMknkJsVz19\n",
       "HvFpgJSpO64PIN5G+fAp30Hc8TziHS4miFhheJbjLMMzHB8POFPqKGKWi6TXtSriJcT9MzH5bAzz\n",
       "HIK1I08t6hq6zHpRdu2aYdJYuk9Q/881bzZa8Xrx6fLmJo/iu4/VXnfH1BB/rmu5ScQvI77m+Bkm\n",
       "fxXxvcZcJY14L0DymZp7pML5yTcW61PvIN6JuGr4halQvmjNlCa4bXJ5zj6qhpxrujeKPYMXEd+q\n",
       "00KR5yNAlWZzrF+Ie+uNsdC/MO4tTOZafhbroyXuR3Df08bLiHsQf+ja6gTPWVimZl7l/oUrjl8O\n",
       "cxDWLbNU5D6JRL2gxkDu16fGuC054OMhclsyXTOOFEL+kmMGs4i5kfNuQ62EnBuam8tzP+Q+tSqh\n",
       "z9SuqpZlvR1EfBiOJTSgYMMM7jpYsAEyqJCHDL4dcFFTAwNMlFDUUpQYiadhDmXteeWAw3HEmA2s\n",
       "15k1RmnP4RHuhBybdBOF7MfnICmSQ2SYjIBM3iRvkcMki9IRcnDTthyLz2Ld2fTzPjTQK+Mdg8y5\n",
       "nkZfFO+se9LQr3/09xZr+5GcaSufeAfAww60mAPx+q8u/bAr8rFCLrx7s+vqEkw8qb+p26n11Aru\n",
       "q6m1iJH6PbWGv1VIY25mkNE8PkaQhxfLIF7DZXx80HD/A3l2jLclYs061xNpWCfoB6WHJTjbH0mV\n",
       "35Q/lRXlC+W8cndbl9t2SfhU+Fb4UfhO+F74GWThknBZ+Em4InwjXIyd1ePnY/Psg3pb1TJNu15T\n",
       "MKWMtFt6ScpKL0ivSMXIn9QtDUlj0h7U7N48t3i8eC0GnMC91dX2sTivgloDTgUVeEGHLTizbf5D\n",
       "a9JLhkhh29QOs1luMcScmBXTIIt7xRFxSBxnuJWfuAd1I7jntkyd/pgKaIwVr3MgmDo2q8x6IdB5\n",
       "QH162mcX7ajtnHGN2bov71OU1+U0fqqoXLD0wX5ZM005UHmySz3qLtDqILDvIL+iH6jB9y2x83ok\n",
       "898GOPQX3lk3Itl0A+BrD6D7tUjWh3fis58BXDigN9yF8M5PJH4B8Gr79/F/XRm8m241mw/wvur4\n",
       "BGDj42bzn+Vmc+NL9L8GcMn8F1kAcXgSteGGAABAAElEQVR4AeydB7glRZn3i/QJAqICyyIDzJLj\n",
       "EJQBhhxEAUGSCkMUJAwsCEOQoCADI44SJGcREEEyOMQBBoYcRhSGHIQFdkDGlYyuu3u/8yt8L3X7\n",
       "dp9Tnar63PPW89x7zumu+O/qeuuNNVNfKxlNioAioAgoAoqAIhAUgZmDtqaNKQKKgCKgCCgCioBF\n",
       "QAmwTgRFQBFQBBQBRSACAkqAI4CuTSoCioAioAgoAkqAdQ4oAoqAIqAIKAIREFACHAF0bVIRUAQU\n",
       "AUVAEVACrHNAEVAEFAFFQBGIgIAS4Aiga5OKgCKgCCgCioASYJ0DioAioAgoAopABASUAEcAXZtU\n",
       "BBQBRUARUASUAOscUAQUAUVAEVAEIiCgBDgC6NqkIqAIKAKKgCKgBFjngCKgCCgCioAiEAEBJcAR\n",
       "QNcmFQFFQBFQBBQBJcA6BxQBRUARUAQUgQgIKAGOALo2qQgoAoqAIqAIKAHWOaAIKAKKgCKgCERA\n",
       "QAlwBNC1SUVAEVAEFAFFQAmwzgFFQBFQBBQBRSACAkqAI4CuTSoCioAioAgoAkqAdQ4oAoqAIqAI\n",
       "KAIREFACHAF0bVIRUAQUAUVAEVACrHNAEVAEFAFFQBGIgIAS4Aiga5OKgCKgCCgCisCsCoEioAh0\n",
       "PwJ//vOfzUMPPWRmnnlm841vfGPAgPr6+szEiRMNn+utt555/vnnzfTp081KK61k5p57bnPffffZ\n",
       "/NybZ555+svedttt5u9//7tZeuml7V//Df2iCCgClSAwU+ul7KukJq1EEVAEoiHwl7/8xSy44ILm\n",
       "H//4h/n9739vVllllf6+PPzww2aNNdYwn//8582bb75pdthhB3PdddeZc8891+yxxx5m9dVXN1On\n",
       "TjV77bWXvUbBG2+80Xzzm980c845p5k2bZoZPnx4f336RRFQBKpBQEXQ1eCotSgCURGYd955zaab\n",
       "bmr78Nvf/nZAX6666ir7e7vttjOf+cxnBtybZZZZzIUXXmhmnXVWc/7555v777/ffPTRR+aAAw6w\n",
       "+Y477jglvgMQ0x+KQHUIKAGuDkutSRGIisCOO+5o208S4Kuvvtpel/vJTiKK/sEPfmBF1Pvss485\n",
       "+uijzauvvmpWW221fkKcLKO/FQFFoDwCSoDLY6g1KAKNQGDLLbc0n/vc58wrr7xiEDuTHn30UUtM\n",
       "F154Yav/zeroj370I7PMMstYcfNJJ51kZpttNnPBBRcYOGRNioAiUA8CSoDrwVVrVQSCIzD77LOb\n",
       "bbbZxrZ7xRVX2E8RP6P3nWmmmTL7hGj6hBNO6L+PPnjEiBH9v/WLIqAIVI+AEuDqMdUaFYFoCOy0\n",
       "0062bQjv//3f/xkRP8v1dh3DKEsSVtPvv/++/NRPRUARqAEBJcA1gKpVKgKxENhggw3Ml770JfPG\n",
       "G2+YX/ziF+ZPf/qT5WRXXHHFtl26+OKLza233mqtnhFFowM+7LDD2pbRm4qAIlAOASXA5fDT0opA\n",
       "oxDADxhxM+moo46yn1nGV/Zm6x+uSQcddJD9OX78eHPJJZdY3S8c8V133SXZ9FMRUAQqRkAJcMWA\n",
       "anWKQGwEhOD+7W9/s4E5Ro8e3bZLY8aMMX/961+tP/D+++/fb/1MiAD8hD/44IO25fWmIqAIFENA\n",
       "CXAx3LSUItBYBAjCsdxyy9n+Ed1q2LBhmX298sorzfXXX99v9QwHTRL/XyyqcVHSpAgoAtUjoJGw\n",
       "qsdUa1QEFAFFQBFQBDoioBxwR4g0gyKgCCgCioAiUD0CSoCrx1RrVAQUAUVAEVAEOiKgBLgjRJpB\n",
       "EVAEFAFFQBGoHgElwNVjqjUqAoqAIqAIKAIdEVAC3BEizaAIKAKKgCKgCFSPgBLg6jHVGhUBRUAR\n",
       "UAQUgY4IKAHuCJFmUAQUAUVAEVAEqkdACXD1mGqNioAioAgoAopARwSUAHeESDMoAoqAIqAIKALV\n",
       "I6AEuHpMtUZFQBFQBBQBRaAjAkqAO0KkGRQBRUARUAQUgeoRUAJcPaZaoyKgCCgCioAi0BEBJcAd\n",
       "IdIMioAioAgoAopA9QgoAa4eU61REVAEFAFFQBHoiIAS4I4QaQZFQBFQBBQBRaB6BJQAV4+p1qgI\n",
       "KAKKgCKgCHREQAlwR4g0gyKgCCgCioAiUD0CSoCrx1RrVAQUAUVAEVAEOiKgBLgjRJpBEVAEFAFF\n",
       "QBGoHgElwNVjqjUqAoqAIqAIKAIdEVAC3BEizaAIKAKKgCKgCFSPgBLg6jHVGhUBRUARUAQUgY4I\n",
       "zNoxxxDKcPXVV5v/+Z//GUIj0qEoAoqAIqAIlEHgX/7lX8yGG25YporCZWfqa6XCpbuo4DXXXGNO\n",
       "Oukks+uuu+bu9Z/+9Cfzb//2b7nLlSnw3//93+btt982Cy20UJlqCpX94IMPzMcff2zmn3/+QuWL\n",
       "FPqv//ovM8sss5h55pmnSPHCZd58803zuc99znz2s58tXEeZgv/xH/9hFllkkTJV5C4bo006+dFH\n",
       "H5n33nvP/Ou//mvuPldR4J133jH/93//Z774xS9WUZ1XHX/+85/t3Jprrrm88teR6bXXXrOYzzbb\n",
       "bHVUP6jOV155xQwfPnzQ9Tov/O1vfzOsIV/60pdyN3PaaaeZyy67zKy88sq5y5Yt0DMcMJzvLrvs\n",
       "Yvbee+/cmN1///1mrbXWyl2uTIEPP/zQPPfcc2bVVVctU02hsiwaf/3rX83SSy9dqHyRQry0s846\n",
       "qxk2bFiR4oXLPPXUU/al/cIXvlC4jjIFH374YbP66quXqSJ32UceecSMHDkyd7myBZhT//mf/2mW\n",
       "X375slUVKg8hggAvuuiihcoXKcQ7DMEPuZlN9nPq1KlmueWWM3PMMUfyVi2/H3jgATNq1Kha6s6q\n",
       "9P333zcvv/yyWWmllbKyZF5//vnn7bzIzFDjjZ4hwGUwLLKrKtMeZdmtIhqJkWJwg3ChM88c3iRh\n",
       "3nnnNZ/5zGdiwGzbjMENxmiTwYIzeMdKc889d/CFlo1dKMKXhSvrCJvbUGnBBRcM1VR/O//v//0/\n",
       "M9988/X/7pYv4Z5KtyCS0s/Q4me6wIQKzQ3K0BGXhRaZhRQLyjj5jEWMpA8huTFpM7TIW9plYxdj\n",
       "cyftf/7zn5evwT5jbaLdAS688MLuz9q/x1gv2dzFUNeVBTM8y1G2x1peEVAEFAFFQBEYAggoAfZ4\n",
       "iOitQqd//OMfBl1sjISxDPq6kAnjHPQ4odNf/vIXgwFHrIQRWOgUo03GCM7gHSsxv5hnIRPvEQaN\n",
       "MRPrSEjvjxjrpRitxsS5SNsqgvZA7e9//7tHrmqzYJzOpIqRMFRhAxAysUDE0AEzTsYbK8WYW700\n",
       "r9zn+r//+7/BnzXzK5T1sTtW9ztzLKSzS4w5HXO9dLHO+10JsAdiMXQaqgP2eDAVZFEdcAUgelah\n",
       "OmBPoCrOpjrgigGtsDoVQVcIplalCCgCioAioAj4IqAE2AOpGDoN1QF7PJgKsqgOuAIQPatQHbAn\n",
       "UBVnUx1wxYBWWJ0SYA8wiYQVOqGne/3110M3a9sjElZoAzCi2Lz77rvBx4tBUkwjmVdffTX4mImE\n",
       "FSOBcywDMMZLJKzQxoW8R7xPMRMBSELadBBUJ3RC7xyDUSo7zsYRYIxxQr8kZUHU8oqAIqAIKAKK\n",
       "QF4EGkGA4faOPPJIg7EAxkcEZZhzzjnNCiusYC666KK8Y9L8ioAioAgoAhUiEEtqUuEQGllVI6yg\n",
       "999/fyuauummm8xiiy1miS/+ek8//bQ58MADrf/gmDFjogGooSjrh15DUdaPsbQQy/JbQ1HKEwj7\n",
       "WUUoSmKHv/DCC4Zwnp2ShqLshNCn9xtxGhJuPg8++GBqWMCHHnrIHHPMMea22277tNcFvv32t7+1\n",
       "ou199tmnQGktoggoAopA7yLAYRIQ4BjhPOtG/eCDDzY77rhjlINvGiGCRtQ8efLkVJwnTpwY9SSR\n",
       "1E7pRUVAEVAEegQBVIRIL0IacvUItKYRBHjcuHGGP8QcO+ywgz0ycPvtt7dHS1133XVm/PjxXs8D\n",
       "C8snn3wy9Y9jwbAqdiPCYJ3o81us63zzS2fL5GeyY73o078q2qMO6a+EopTfVdefVh8qByxGQ493\n",
       "xowZ/aEoQ45X8J4+fbrA0Y+/XKirP2KJXFf9Wf3H0h28JYVun/nlWtqHaJ8xi5V9ne298cYbme8P\n",
       "48a4tWj7EODZZ5/du3yM9ZI+ll0vZV6G/GwEAV5llVXM448/biZMmGA22WQTe5jzhhtuaH7605+a\n",
       "adOmeZ/f+eijj5rzzz8/9e/aa681d9999wBs3ZeRG1m/JbRa1n2ptMr7ECJeGDdVWT/1ZtUnoSiz\n",
       "7kufqrzPApGMBV1l/VnjZaMjoShDtCfYSX9kbsnv5P06frNYhWxPxsAmy+WiQuPN/GKeSQrRPuMl\n",
       "BCaprvY4U3qrrbYyEGE3SXvMMdYT+S15fH8LBywbiU7lZU771t+pPp/7VayX0k7Iz0bogHkxzzvv\n",
       "PHPPPfeYsWPH2oV4jz32MDxIOOGTTz659PF4Bx10kDX0uvzyy0Piq20pAoqAIlAbAhDFXXfd1Rqu\n",
       "snauuOKKlbeFxGTTTTc1V199tVl88cUrrz92hT2vA4bTfeSRR8xmm21mvv/975vDDz/c3HjjjQaH\n",
       "bnZfV111VexnpO0rAoqAItA4BGBcUN3NM888/ZKcqjspHLArPai6jV6trxEi6BtuuMH6++JqtM02\n",
       "2xjEz2uuuab1Bz7iiCPszivmAxKdRsg+ILpCdxMjiQ44ZNtIQZIi6BDtayjKECh/0oaGoqwW66ee\n",
       "esrce++9Bs+OWWaZpV/UnWxFdMDJ676/hQC76oN2ZWOsl/Tx7bffbtetRt5rBAFedtllzaRJk6yO\n",
       "YsqUKWbq1Kn9YD3xxBNRzMP7O9D6oqEoXTTq+a6hKOvBNa3WWEEVNBRl2tModg27hVNOOcUGMJpr\n",
       "rrnaEuCyoSiFAPtywBqK0v+ZNiIQBzL43Xff3bz88svmgAMOsJwQRHmllVYy99133yDjKf/haU5F\n",
       "QBFQBIYeAnJ2NgFsSO044LKjh/PFDQlCrKlaBBpBgBE3E/UKLmjeeee1xlcE3iB4OqEo55hjjmpH\n",
       "rbUpAoqAItDlCGBdPeusnyzhdRJgCC9uSL4ccJfDGrT7jSDAjHimmWayxJfv7La23HJLvjYiaSjK\n",
       "+h+DhqKsH2NpQUNRChL1f37hC1+ojYGAAEN4Se0IcNlQlCKC9tUBayhK/3nVGALs3+XwOQmVGTpx\n",
       "KMWwYcNCN2vbQ6fEX8jEARwxUixiJGNddNFF5Wuwz0UWWSRYW25Dn/3sZw1/sVKMMIoQv7oSHKlw\n",
       "wIikxZ892R6H3JRJQoB9OeAY6yVM20ILLVRmmFHKNsIIK8rItVFFQBFQBLoYAV8OuOwQ4XxhCHw5\n",
       "4LLt9VJ5JcAeTzuGWT2TXd2QPB5OySzqhlQSwBzF1Q0pB1geWV0OuJ0IWt2QPMCMlEVF0B7AS2g1\n",
       "j6yVZSG0WiyrQwlFWdlgPCpiMRHLTo/slWVho5MluquskTYVxZhbvTSvXOjhGEM/a+bXbLPN5naj\n",
       "su++HDBzjPWkaMorgo4xp2Oul0VxpZwSYA/0Yug0VAfs8WAqyKI64ApA9KxCdcCeQHlmY9PqY4RV\n",
       "hQ44jwg6xnqpOmDPSaPZFAFFQBFQBMoj4HLA7YywyrYkXLyvEVbZ9nqpvOqAPZ626oA9QCqZRUNR\n",
       "lgQwR3E5jjBHkUqyqg64Ehj7K4EAixW06oA1FGX/xBhqXzQUZf1PVENR1o+xtKChKAWJ+j8xgEoe\n",
       "K1pVqy4H3I4AVxGKMo8IWkNR+j9h5YD9sdKcioAioAg0BgEMysRwsR0BLtthjLDyEOCy7fVSeSXA\n",
       "vfS0dayKgCIwJBBwXZAYUAgCrDrg6qeOWkF7YKqhKD1AKplFQ1GWBDBH8ViW31iqEus9Vpp77rmD\n",
       "uyHVFYoySYDhhBFJp6UqQlHCAfseF6qhKNOeQvo1JcDpuAy4GsOsngmvoSgHPIZafsQiRjIYDUUp\n",
       "SNT/OZRCUbr6X5BrxwFX5YbkywHHWC/VDan+90dbUAQUAUVAEWghADGE6EpqR4AlT9FP1QEXRa5z\n",
       "OdUBd8bIqBuSB0gls6gbUkkAcxRXN6QcYJXM+te//tV8/PHHJWsZXDwPB1w2FCV+wHCYfPqkGOsl\n",
       "m4S3337bp3uNyqMiaI/H0Wuh1TQUpcekqChLjLnFYhUjxZhX7jghWkMlFCVjER9gxtiOA64iFCUq\n",
       "MV8RdIw5raEo3Zk+xL7H0GmoDjjMJFIdcBicaUVDUVaHdR4OuCodsC8HHGO9VB1wdXNLa1IEFAFF\n",
       "QBFog0DSChoOuC7uXnTAvhxwm27rrQQCqgNOAJL2M4ZOg92mHkeY9jSqvabHEVaLZ7vaNBRlO3Ty\n",
       "3cvDAVehA0Yi58sBx1gvu1UHrATYY95rKEoPkEpm0VCUJQHMUVxDUeYAq2TWukJRpnHAEOW0pKEo\n",
       "01BpxjUlwM14DtoLRUARUAS8EcjDAXtXmpFRRNC+HHBGNXo5BQElwCmg6CVFQBFQBJqMABxwKD9g\n",
       "2sLISXXA1c8IdUPywFRDUXqAVDKLhqIsCWCO4rEsv1nENRRljgfVJmuSA253HnDZUJTo7mebbTZv\n",
       "HbCGomzz4BK3lAAnAEn7GcOsXt2Q0p5E9ddiESMZiYaiFCTq/xxqoSh9/YDLuiHB+ebxA46xXqob\n",
       "Uv3vj7agCCgCioAi0EIgyQG3C8RRBjDR/+bhgMu012tlVQfs8cRjmNWrG5LHg6kgi7ohVQCiZxXq\n",
       "huQJlEc2uFJfDriMG1IRAhxjvexWNyQVQXtM9l4LrRYjZCALihwu7vFIKsvCRqeuAAY+nYwxt1is\n",
       "YqQY88odJ1xj6GfN/IJ7rDrl4YDLhKIUAgyx9zXCijGnNRRl1TOsQfXF0GmoDjjMBFAdcBicaUVD\n",
       "UVaHdZIDbmeEVUYHLAQ4jwg6xnqpOuDq5pbWpAgoAoqAItAGgTwccJtqOt6CAEN869Ixd+zAEM+g\n",
       "OmCPBxxDp6E6YI8HU0EW1QFXAKJnFaoD9gTKIxscsK8fcBU6YLoElwnh75RirJdsFLrxOEIlwJ1m\n",
       "U+u+hqL0AKlkFg1FWRLAHMU1FGUOsEpmrSsUZR4OuEwoShFBA8Pcc89tON+4U3rllVc6Zan8Pnrn\n",
       "GIS/7ECUAJdFUMsrAoqAIhAYAQiwrxV0ma4hicMehUSwnPfee69MdVo2gYAS4AQg+lMRUAQUgaYj\n",
       "kIcDLjMWlwNWAlwGyfSy6oaUjsuAqxqKcgActfzQUJS1wJpaaSzLbw1Fmfo4Cl1Ms4LO0s+WCUWZ\n",
       "JMDvvvtux/5qKMqOEPVnUALcD0X2lxhm9eqGlP08qrwTixjJGDQUpSBR/+dQC0Xpa4RVxg3J9WOe\n",
       "Z555vETQMdZLdUOq//3RFhQBRUARUARaCCQ54LrchJIcsOqAq51+qgP2wDOGdZ26IXk8mAqyqBtS\n",
       "BSB6VqFuSJ5AeWTLowOuyg3JVwccY71ko6BuSB4Tp1MWdnY+pu6d6qnyfq+FVosRMpDnnqXDqvJZ\n",
       "JutioxM6PKHbhxhzi8UqRooxr9xxMr+YZyET86uOec04fEXQzDFCNRZJrggaAuyjA44xp7s1FGUj\n",
       "OGAWhCOPPNKgq0D3+cUvftHMOeecZoUVVjAXXXRRkXlTaZkYOo3YOmAMN0ImnnkMHR06YEIkxkq9\n",
       "pgOOqXNnfjHPQibeo7nmmqvyJtM44KyNJOtq0XjUrggaHbAPAY6xXnarDrgRRlj777+/efPNN81N\n",
       "N91kFltsMUt80TU8/fTT5sADDzSIrsaMGVP5JNYKFQFFQBHoRgQgwCH8gJMEWHXA1c6WRnDAt99+\n",
       "uzn33HPNiBEj7G5xpplmMuy21lxzTXPqqaea66+/vtpR56wthk5DdcA5H1LB7KoDLghcgWKqAy4A\n",
       "WkaRNA44S9RdVgcs3LPqgDMeRonLjSDAiJonT56cOoyJEyea+eefP/VeqIsairJ+pDUUZf0YSwsa\n",
       "ilKQqP+zbCjK7bbbzjzwwAODOooO2JcDrioUpS8B1lCUgx5X5oVGEOBx48YZ/kaOHGl22GEHs/fe\n",
       "e5vtt9/erLTSSua6664z48ePzxyAe+PJJ580V111Verf888/b1jkXWOEpv9Gp9NN/S2L58cff9xT\n",
       "4wUvN5XFr+nl33///ajPtxvn14wZMwz9JrnPF24XOxlZHzDIWnrppft/J/MX/e2KoJHKffjhh/1t\n",
       "uP0pWr/0v4ryYFKmPvoQOjVCB7zAAguYxx57zDzyyCOG3RP6YLhe9L7rrruuQSTtk5gcWaboTOJk\n",
       "PUmRTdN+J8fctP5V3R/35WHsVdev9Q08ySY0HkkjodDtN3V+bbjhhuaAAw4wa6211oBXHnzYtAhO\n",
       "8kmmJAfMecCIiuebbz5zxx13mFVWWaW/nFTqlueaz2+XAPP8MCijT3DDPuWlbd/2yuR3yxZpL1k+\n",
       "yO/WpIyeVl555b5Ro0b1vfTSS7X1pWXM1dfiqgvV//LLLxcqV6ZQy5S/ryU6KlNF4bKtF6zvrbfe\n",
       "Kly+SMGWLrav5X5WpGipMtOnT+9rbdxK1VGmcGvDWaZ4obKvvvpqoXJlC4EzeMdKzC/mWcjEe8T7\n",
       "1C5ttdVWfS07l9QsSy65ZN/NN9884N5dd93Vd/zxx/fdcsst/ddb3Gnfxhtv3Lf88sv3PfHEE/3X\n",
       "+dJSOfS1COmAa74/WtLHvpaNTn/2nXbaqeO6FGO9bNkX9L3++uv9/czzZezYsX1Tp07NU6SyvI0Q\n",
       "QbPTWHHFFU2LCJuTTz7Zy9Q9yO7kn43EMKtXN6QwT1jdkMLgTCu4e6kb0mC84WbhNJPpo48+MnPM\n",
       "MYdB9Oumn/zkJzZWQpof8AcffDDIr70qNyT64KMHjrFedqsbUmMI8J577mnuu+8+09rVmWHDhpl9\n",
       "9tnH/lazd/fV0++KgCIw1BCAwCaDV7AW4n2BN0jyHuJmLMpdAox6DZEwG3cIelXJFUFTp68vcFXt\n",
       "D/V6GkOAAXqJJZYwkyZNMo8++qjVNey8887mC1/4goE4x0zqhlQ/+my00C2FTuqGFA5xdUNKxxqC\n",
       "meRyDz30UNMSPdvgNEkCDOEFS9cKmpohwuhok9x0ETckiDn1YTsjbki0AQfcKRhHjPWSMWfZ/9Dv\n",
       "pqZGGGElwVlmmWXMiSeeaP8wrGKRjJmSL0CIvrSUDINepBDt0gbGFskFoe62WYTY2YdOjDNpHBSy\n",
       "DzHmVnKBDjXeGPPKHRtEJfSzZn65BMztj3xn7ifnAaJnLKCJ3pW8B+FNcsBSFwQy+Xwpz3qSJ734\n",
       "4otmnXXWsZtiuGpJcMCdpJLJ/krZOj9jrpdlxtUIAnzYYYfZMJRpA8HUnr+YKYZOI7YOuI7wee2e\n",
       "YegQgdKXmDpJ+tBroShjhv2MEerUJ6QrBDO54YUAw7lC8JIEFQ74nXfeGcQBs7lgjMm6ihxH+Mwz\n",
       "z5hll13WcrsuAVYdsKwc1XyGZzlS+o3vr89ETSmqlxQBRUAR6GoE0jhgjIoQqUJQkwQYSRHE2dUB\n",
       "CwBzzz33IAIs9/J8Pvvss2bxxRe3fr8uB9+JADOWpDtVnnZ7LW8jCHDTQY+h02AXy0sWI2F9GfpE\n",
       "KtUBh3vS+NnHSKoDTkeddz1JZCHAvP/YwCRFuhBexNNJHTC1pxFg6oEw5klwwBBg7DKSHHA7HTAq\n",
       "Q6RnoUX94NeNOmAlwB6zUkNReoBUMgtRddq92CWrzywOMZJIQ5mZarzR8smtsfb0qjUUZToudVyF\n",
       "+OEalJXQS8PRJoksBLjlQ2yNnpL3MI6CoPKZTBDgJDHPG4qSDTj95mAc+u4S4E46YDZZBBZJ9jnZ\n",
       "z6p/014MRqnsOJQAl0VQyysCioAiUBABiCX63iTBgrjC4aZZNcNdEikQ4p1MafmTeTr9Rvy81FJL\n",
       "mS996UuWA84jgmYzC4eeHE+nNnv1fiOMsHoVfB23IqAI9DYCEODZZ5/dWjW7SEBcEQMjAk4SM+7h\n",
       "rpk0XIQwpwXucOv1+Q4BxhOFEMHE0E9ywO0kVXDAaRy9T7u9mEcJsMdTZycYOrHrjGWYFsNSFeOO\n",
       "GG5I8847r0HcFyvFsMKO0Sb4gjN4x0qIZ0PrJtHhQhSzUjsC3AqtaHW9Tz311IDijCHNAItMEPOk\n",
       "FTTrSJq+eEClzg8I/0YbbWSvJN2XOgXigAPGhSm5aXCqr+UrmwTiYHdbUgLs8cTUDckDpJJZkrv5\n",
       "ktV5F49FjKSD6oYkSNT/2UQ3JAhVmggaLhciy6YlScwgwFmb1TQCnNcNCQ54v/32S30gEHL+ILRp\n",
       "Gwuuv/DCC4P6nFpZhRfBaaGFFqqwxjBVqQ44DM7aiiKgCCgCgxDI4oCFy4WzI4+b2hFgiGIyv1u2\n",
       "03esqzHwarcxbWeIhQg6bUPRqd1eva8E2OPJx7CuUzckjwdTQRYNRVkBiJ5VqBvSYKCKcMDCHSdr\n",
       "mzBhQmrgjjxuSKL/Tdbt/m7nCwwHTEjhJNfulq/jO5sOdUOqA9kG1Bl6MjHkmKHV2GEn9Uh1PwZ2\n",
       "3SwsoRPjZLyxUoy5VYZDKoNTjHnl9pf5ldcf1i1f5Dvzq9285llkGWEhgoYDTs4R6ksTQRMAA+4z\n",
       "+e5SPqnLzRqLRMDKus/1TgSY+6HnWMz1sh1Wne4pB9wJodb9XtQBhzYAQwccQ0eHqC2G0ZlMu17T\n",
       "AbcTbQomdX0yv0LbGvAetQvrCnFsp+flXpKYsZHJMsLCeDNJgH2OIzzjjDMM/r++HHCWJTQcML71\n",
       "yU1DXc9U6lUdsCChn4qAIqAIKAJeCEBcIR4QVJfQwuUKB+xep1IIcBoHzL00Asz1Tolz2Il+hwXz\n",
       "csst1za7jw4YdYOmzggoB9wZoygRVtjForuJkTQUZTjUY4SFjNEmiKoOePC8EgKMGNrlGoUAp3HH\n",
       "iFvTomBROwQ4SbB9dMA8G9qkbCeXpXauSHDAWCMn+zB45NVeoT3VAVeLaWNq01CU9T8KDUVZP8bS\n",
       "goaiFCTq/4T4tQtFCeFAzwuhdblG4XIlIpaIlbP0vzKSNKvpTqEohdjThvRH6kv7bKcDZgyoGdzN\n",
       "RFodVV+jvRjGsmXHoRxwWQS1vCKgCCgCBREQgpfFAVOta4jVTv8reYVY+3YJoum6L2WJt6W+dgQY\n",
       "DhjReWgCLH3rtk8lwN32xLS/ioAiMGQQgFDB/WZxwAzU5WqFM84CoIgOGAKMISJ9oa1OCQLczggL\n",
       "Aq4EuBOKn9zXSFgeOGkoSg+QSmbhpe608y7ZRGpxDUWZCkstFyEyGopyILTCAcOBigg6KWYGN/KR\n",
       "ihDgTqEoaVdcoXwIcCcjLPofmgDTbw1FOXBuDZlfveiG1M51oo4HG9o9RMYQ0y2GPvSaG1JMl68Y\n",
       "bm6d3PlcDliIluhkZY5CgN177TaqaUZYnUJRUreIoH0IcCcRdAwOGIw0FKXMGP1UBBQBRUAR6IiA\n",
       "cMDCgVIgqed1CXDyXrIBCKhwy8l7Wb9FB8xnFQQ4qc/OalevG6M6YI9ZEMO6Tt2QPB5MBVk0FGUF\n",
       "IHpWwQIP3rESR/u99957QZvHtxbDpKwE9wnRc4lskgN2iWonETR5k0ZYndyQhAOWvmT1Va7POeec\n",
       "lsjTl2RirIwl7yYgWU/e37Snbkh5UeuS/EzM0ClmaDVerORLXPf4NRRl3Qh/Wn/oxVFajjGvpG0+\n",
       "IWxNDEUJ0XQ54DQCLGtQJwKcZoRF2XahKNkYoRrw5YDBEpF1mnsVdeBHLP0lb4gUc70sMz41wvJA\n",
       "T3XAHiCVzKI64JIA5ii+yCKL5MhdXVYWedUBD8STzVCSACeJrMtRQpw76YCTm+dOOmCIJgQVoklf\n",
       "fBL5CdiDPthNXOMM5NAEGIxUB+w+Cf2uCCgCioAi0BYBCDDEgz8IISnJAXNPCBrEOSsONGXTOGCu\n",
       "t0vUnZcAI4aG2LoJwk/fVAfsotL+u+qA2+Nj76oO2AOkklnQzaGjC51UBxwOcQiM6oAH4o1IHILl\n",
       "Eq0kBwxXKmqD5L2BtX3yK2kJ3UkHXIQDRpKRJMDUI+OQDUNa/+q4Bj6qA64D2QbUqaEo638IGoqy\n",
       "foylBQ1FKUjU/9kpFCVEC52pLwec5I7TRgDBdsXQbijKffbZZ1CMeeGA6UteEbTbPgZYcNIE6aBO\n",
       "NguXXHKJm6W277QXg1EqOyDlgMsiqOUVAUVAESiIgKsDFq4xSWQhinLPlwN2CbDbtfvuu2+QpEkI\n",
       "p/TFzZ/1PU0ELRww8avp7zvvvGMOPfTQrCr0egsBJcA6DRQBRUARiISAEL0kB+waWnGPfKRORljk\n",
       "aacHxlo4aQkOsYRzzcMBp4mghZDTd/qLSomAPklRNX3U9AkCagXtMRM0FKUHSCWzaCjKkgDmKB4r\n",
       "+heERENRDnxQQoCFAHI3jQMWAgwH3M4Ii/JJHbAbihLimyTAEF44WggxFsw+KYsAowNecMEFLTHH\n",
       "rmPuuec2H374Ye3W70gJNBSlz5PrwjzqhlT/Q1M3pPoxlhbUDUmQqP+zUyhKIcBsTkTMnCTA3JPD\n",
       "D3xE0BBBl8i6bkjU7d4DAdqFePHpqwPOIsBsJJZaaimrg4YDhgDDGdedwEjdkOpGWetXBBQBRWAI\n",
       "ISAEGKIJJ0pKcrkucfYhwIh9hWAnoaJ8kgDTLoQTAgz37JPSCLDUQ3kkWhhWcnADHLCmdARUB5yO\n",
       "y4CrMazrMKLAgjJGQmdDCL2QSd2QwqH95ptvhmvMaYkFWt2QHEBaX4UAu0Q2yQG7Rljcc/XDA2v7\n",
       "5Bdcp+vS57ohZXHA0n4VHDDrJaJs1hD6EkIHDI7d6IakOuC0GZy4JqKhxOVaf8YMrcYuOcuKsq5B\n",
       "syvvtLDU0TbjZLyxUoy5xWIVI8WYV+44IT6hnzXzqx1XKQQ4yQG77wJEUZ4Z/e+kA4YDdgkwc0yM\n",
       "r9IMtNgYSftVEGDaC02AY66X7hzL+10JsAdiqgP2AKlkFtUBlwQwR3HVAecAq2TWTjpgiBXcpxBA\n",
       "mktywNx3CbBLnNO6B9fpxmkWHTCEth0Bpi9lCLAQctZLCDAiaETRIUTQYKQ64LTZoNcUAUVAEVAE\n",
       "BiEg4mT8ZiEgEDBSGgGGOJLggH0IsMsB24Ktf0iZILBJ6RZ1swEoS4DFDYn2hAOGAIcQQcsYu+1T\n",
       "dcAeT0x1wB4glcyiOuCSAOYorjrgHGCVzNruOEIRP9OEEEC+J4ksxFkIsBBt8mWlLB0wBDgEB6w6\n",
       "4KwnM/i6EuDBmAy6oqEoB0FS+QUNRVk5pJkVaijKTGgqv9EuFGWSAGdxwEV0wK4IWkJRij46yQHz\n",
       "W0TgeUTQSdGycMCvvPKK+fznP29F0KGMsNigxGCUyk6YxhFgdmmhLXDLgqjlFQFFQBHIi4BLgBEr\n",
       "88f6lxRBQxSFA05yx2ltJo2wJE+aCJprbH5xK3L7I2WyPsmf9O/lN4SchE0H67i6IWUh+Mn1RhBg\n",
       "HvyRRx5pMBZgsvHwiMyywgormIsuuqj9CPSuIqAIKAJdiECS4AkXmhQzlzXCEmjSCDBcI5HRWHfF\n",
       "SEvyt/tM8wMWDphywgFrKMp2KBrTCCvo/fff36CXuummm8xiiy1miS86waefftoceOCBdmKMGTOm\n",
       "/UhqvKuhKGsE959VayjK+jGWFjQUpSBR/yfGSAS5SEvtCLDralRWByyhKCHASR0wBJj1jevJ/qT1\n",
       "Wa7RJzYKuP9gREYSAgzXC+GFAw5lhMUGQkNRytPJ+Xn77bebBx980O7EpCgPcc011zSnnnqqOeaY\n",
       "Y0xMAqxuSPJU6vtUN6T6sE3WrG5ISUTq+93ODSlJ8ITQJn19IS7kJSXvpfU8aYQlbkjoeqnL1QEL\n",
       "ARYOmE/fBNGGa5YNhnxnvYQ4s24jyUzqin3rz5MP7NQNKQ9iTl5EzZMnT3aufPp14sSJZv755//0\n",
       "gn5TBBQBRWAIIJAkwK4Iuh0H7N5LgyFJgCUPHDBnDycJMIQLwpvHDYk6KSMbA34LB8x3+gjTlHZs\n",
       "Ifc1fYJAI0TQ48aNM6NHjzannHKKWXzxxa3YglimzzzzjDVKuPnmm6M+L9klhuwELwkinHY76Lr6\n",
       "g98eLyPis1AJlQOiLBaPkInQiCwSYjwSsm3aQvUSWiQco03GCocENxTrRCR8YxGZIhYNlXiHmVvC\n",
       "JbrtJgmwcMBJIyy5TlkfIyw4U94lqR9LbCRMEGDqcgnwG2+8YVZddVVrAEbdlPVNbr8ow/NlrO56\n",
       "maYr9q0/Tz7GCs3oNmatEUZYq6yyinn88cfNhAkTzCabbGKGDx9uNt54Y3PaaaeZadOmmUUXXdTr\n",
       "Wdx5550GYp7299BDD9mJwQsoafr06faF7PRbLBB983eqz+c+/cQ6sUh/feonT9Z4eBF5SbPul60/\n",
       "rTyLw4wZM4KPlxeX8ZJCjlfaY9GSFKp9xizth5xfEAJpO0b7zC+X+ITAm/FCUNPGS18gYpJGjBhh\n",
       "uUghstI/rKMhqBA2uZdWn+TnHhtZ3I94vqxffNIXuFbBgPxsxkR0u/XWW1sOWfrj1pfW3siRI/ut\n",
       "s7lP/yHA7nrJxkMCcXSqr8x9xsdmusx8lnGH/GwEB8yAeXAbbLBB/9hZmBBjiIK//0abL+gesqLE\n",
       "PPHEE4PM5tmduSnrt+iAs+5LHVXe50XhXE03VVk/9WbVhwEFf8kTVbLySx/L3GeHnhStlamv3fjc\n",
       "/sINyRwL0Z60Lf1zud9Q7YsOOFR7MmbsOlzuM3T7zLHQ7bebXxBCl+NEhAvxEg7YxYf1APEx92SN\n",
       "c+/LfBKsaVc2lqID5rcrgoY4QtRlnZk6deqAd7Bd/bSD1EqILb9ff/11u4676yXrOpvrd955J3O9\n",
       "oSypU3vt7rORkXF8Ulv++qRcyM9GEGACA/zwhz80BxxwgOV2Dz/8cHPNNdfYndp3vvMdc84559id\n",
       "WydgsKDmLy3deOONdrcniy15WBDcpL8VD50PnyKg70O97wNMBoRVEgSNa0KAXfwhMOSFiMpG1b1P\n",
       "He5v1Eei1pH6IfjUIRwwnCn5pA9ICd3k1sf15G9OH5K66PPzzz/fX5ebH6km6/kee+zhVj+ovmT9\n",
       "oX8P6FygH40QQR999NGGXfnyyy9vTj/9dLtjQvQM14re5rjjjgsER3oz7BJDJyY2IrsYiRcT3VXI\n",
       "xGKRFr+27j4gtnLFwHW3l6wfEWDoFKNNxgjOehzhp09bRMJyRcS3rphZ7om+Ne2e5HE/0bML1qwj\n",
       "cKH8wXEL0URELdIQt6zvdwi3cMCuAVZyvdxqq62siynt15XAshuPI2wEAZ4yZYqBCCMSue666+z3\n",
       "YcOGWYMsiO+9995b13PzqldDUXrBVCqThqIsBV+uwhqKMhdcpTJD/NywkG5lSQIMkXU5YDevELsi\n",
       "BFhCUUIAXQ6YeVCWADMGkkuAX2mFonQTazliadb5uhIbgSThr6utKuttBAFeaqmlzCWXXGLHtf76\n",
       "6xvX6hk3pCWXXLLKMWtdioAioAhERyBJgIUDdvW80kkIJ/nT7kke9xN9N5taN8H5Jjlg0Q+7+Xy/\n",
       "s2FII8Bp5THwgrnSNBCBRhDgM88805x00kk28AbK+kMOOcRgGf3lL3/ZnHvuudaqeWC39ZcioAgo\n",
       "At2NQBoBzuKAhdi5OuB2o3dF0JIP4u0S4Co5YPqd5molbY8aNcra4OCpQt9ca2XJ04ufjTDCwveX\n",
       "sJOTJk0yzz33nBWLYBwA57v55psPMI2P8ZA0FGX9qGO1Kdad9bf2aQssBixusZJrBR2qDzHaZGzg\n",
       "DN6xEq45ELCQiXUsizBBgN25BweM7QVGVmJoJX0lH2JWXxG0ywFLKEo4YOoRHTAEuCwHnKYDTloj\n",
       "Mwbe7S233NJKOnF7co1hZYxlPpEQaCjKEgjyQLCW469pSczqQ/aLCYXuJEYSN6SQbbNgxEixiJGM\n",
       "1dfHXfJX8VlG71emfdxIkq4kZerLW5YDAkKndoF0IMBu4BkhshDsKgmwEFl0wOKGREAU9LZliJaI\n",
       "xcEUDpgNBClrvYSZIt4D/UEvzjpTVQI78Weuqs4Q9TRCBB1ioNqGIqAIKAJNQiCPCFqIna8OOE0E\n",
       "7RphlRU/g6NsGPjuGmHxOy2xyT755JPtpiPLMC2t3FC+pgTY4+nGsK5DTKRuSB4Pp2QWdUMqCWCO\n",
       "4nBJ4hqTo1hlWXFzw90tZEKkDHFKS0kCLAQNIpvkgCHAIoJO3kurm/CqrCG0IW5I/BYdcBUEWDYF\n",
       "tO9ywJ3WSzjfqgkw4+xGN6RG6IDTJlCTromeI2SfJHRcyDalLfRMoieSa3V/sjuPoQNmnKH1gi6W\n",
       "MeYWi1WMFGNeueOEsIV+1kL03H7I9yQBRoQLsaaPyXcB4kz+tHtSX/IT8TLhNxk36wmfQjTL+gDT\n",
       "lmwK+O5ywJ3mdB0EOOZ6yfiLJiXAHshl6TQ8ihbOwuRWHXBh+LwLqg7YG6rSGVUHPBDCNAIM8Urj\n",
       "gIU7zkOARQy94oor2obZDFAPm1044I022mhgh3L+Yo0STtYlwJ3WyzoIMONSHXDOB6jZFQFFQBHo\n",
       "VQQgwK6FNEQEUW4akRXOFeKc5I6z8HMtockD4RURNBywGGdlle90nf4yBhIEWIywOpWrgwB3arOp\n",
       "91UH7PFkOuk0PKrInYXdquqAc8OWu4DqgHNDVriA6oAHQgf36BItvnfigNO444G1fvpLCLDogIUA\n",
       "0wbHEJYlwLIpoEWXA+60XtZBgNkIdKMOWAnwp/M185uGosyEprIbGoqyMig7VoT4MUZikY4Vh5rx\n",
       "EuQndIxziJ+IaZOYg4frliUccBqRhdhBOOGOfYywaEtE0BKKkk099ciZzHDDZRL9pU8kNlfCzb+S\n",
       "CEWZbKMOAkw/OhH+ZD+a8FsJcBOegvZBEVAEeg4BCCHWypJcDjgpZhZxb5p4WsonP4UDlusQdvyA\n",
       "4YTLcr/UmcUBS3tZn3UQ4Ky2mn5dCXDTn5D2TxFQBIYkApw6JlwjA4QAw0lmccCIWfMQYOGABTyx\n",
       "yKb+Kgw8kxywK06XNtM+0wjw/fffX3l0rLS2m3ZNraA9noiGovQAqWQWDUVZEsAcxWNZfrNgQxRi\n",
       "paaFokyKoNsRYCF2iJ+T3HEWnsIBSyhKOF84YIh4nRxwWihKt49pBPill14yYq3t5vX9DjdeJqqX\n",
       "bztV5/MiwOhtGBwPrxdTJ7P6OjBhQlWxSy3SN14Q/kImFosYKRYxkrFqKEpBov7PJoWihBjiu+rq\n",
       "YSGu4q+b1PMKAYZIJ+9lISccsBBblwBXsbawRrk6YOGAO62XaQSY89/L0BfwGVJuSOySjj/+eDNi\n",
       "xAjz1a9+1XCKBQcrd6OlWdYE1euKgCKgCMRAAP2va4AlfUAkjag4SWSF2OURQXMQxLvvvtt/8hD1\n",
       "QuT22msvs+yyy0qThT/pk+uG5IrT21WaJMCMCQI8//zzW2vqdmWH2r1MHfB5551n7rrrLnPttdfa\n",
       "MW+44YZ2h8H1XksxrOt4WdQNqf6Zpm5I9WMsLagbkiDxidtOGgGGk4NTTYqZhdjlIcAccDPPPPOY\n",
       "l19+2dZJvXDc++23XyUSLvqaRoA7rZcQ4Icfftjce++9FpAXXnjBIInCIA2xfJE05NyQAIdzeUX/\n",
       "yYM78MADLVEuAlA3lxExS8gxxAytxkvOBiBkYnHAOCR0YpyMN1aKMbdk0Qw95hjzyh0j84t5FjIx\n",
       "v9LmNQZYaQQYMS5lkhywEDvqShLnduNBDI3rFesJYy8j5k22I5sCrkM4RQTdaU4vsMAC5oADDjBH\n",
       "HnmkffeeeOIJs9JKK1mDtKIEOOZ6mcQlz+9MDhi9gexQpMIbbrjBdFKwS96h9NlJp1HHWJncVehp\n",
       "ivSNHWq7Y9SK1NmpDDrgGDo6dt5pC2Gn/lZ1v9d0wDF17syv0LYGvEe8T8lUhABD2NjEJIlzsm73\n",
       "NwRYON+qCTCbAiG2+FiLCLrTeglnvueee1qJKlK+P/7xj1bVSXmkJEUSfelGHXCmVdVBBx1kVltt\n",
       "NTNp0iQzffp0s+aaa5pXWg7Wd9xxRxF8tIwioAgoAorAPxHIIsAQEk5tSnK5QuwgwMl77UAVS2jy\n",
       "VE2AhQO+5ZZbzJQpU6xfcLu+JO/BzCGufvLJJ83YsWOturMoB5ysu1t+Z3LAiAmefvppM2bMGKsz\n",
       "GD9+vHn99dfN8ssv3y1jq6yfnXQalTXkVIQYSnXADiA1fVUdcE3AplSrOuBPQckiwBC1iy66yBok\n",
       "fZr706AXeQkwHDDcKcSXNaVKETSbgqlTp5pLLrlkwDGPvusl6k2iDCIhYKMAB1yUAA85HTAPHwu6\n",
       "XXbZxeqC2aXceOON7pzome8airL+R62hKOvHWFrQUJSCRP2fWaEoswjwoYcearg3fPjwAZ2DMCPu\n",
       "zasDhrChH4X4iih6QMUlfiAKp79nnnmmwcdaEpJSnwQH/Pzzz1v9L/nRIRcVQYONL+H36VuoPJki\n",
       "6AceeMC6Hz333HNm3Lhx5rHHHrMWbyyUe+yxR6j+aTuKgCKgCAw5BCCyojN1B5elx4TbhMvLqwOG\n",
       "AMMBkyhbJQdMnd///vcL1wkHPHnyZPOtb32LqkpxwLaCLvyXKYL+9a9/bS644AKDKPrKK6+0Ygau\n",
       "XX311V04TO2yIqAIKALNQQAC7MaB7tSzojpgRNBiKAUBr5oAl6kPDhjGDgtoUhkOuBN+Tb2fSYAR\n",
       "P+MYjSU0lnwrrLCCfZCEDOy1JK5YIceN21doS2QZH1bBOPGHTMyrNGvRuvvAAsXiFivFsAqO0Sb4\n",
       "gjN4x0qISV1RaYh+8B6lcbpZIuisPkHoED/n1QHDAb/66quW8EKAEWXXnXw9ZVhXN998837PmjI6\n",
       "YMY1pEJRAgx+vzz03XbbzRpk7brrruaoo46q+/k1rv5OZvV1dJgJFdMNKTQxZKGIkWIRIxlrr7kh\n",
       "xXT5iuHmlrWJhgDn3dizgUnzEZa5lPYJUcJQig09BJjPupPvekmQkJ/85Cf93YEDLmqEBTZZ4vv+\n",
       "Bhr4JVMHPHr0aLujQH+w3Xbb2WgqZ599ttlggw0aOAztkiKgCCgC3YMAhCbvZoRNOQQ4jxsSZfjj\n",
       "TOJQHHDRpwAHjI1RL6VMETQgbLLJJmajjTayflrs1nqV+MawruNFUzek+l9FdUOqH2NpQd2QBAlj\n",
       "iAWdVxwOl4dEMk8gDlpcbrnlzIwZMyzxhhjXnYqulxDgolbQbC668ZyCTALMg/7ud79ruWDiQDNZ\n",
       "tt12236Fft0PsUn1ixFDyD7FDK2GnokNQMiEiwRzLnRinIw3Vooxt1isYqQY88odJ/OLeRYyMb/S\n",
       "5jXBjbLE01n9g3jS/zwcMHXBaUPYQoifaa/onC6jA465XjLmoimTAJ977rnmxRdftLpfuAQCZjPI\n",
       "CRMmFG2ra8v56jSqHCAvW0wdcN7FoezY0QHH0NGhA84rCiw7Vrd8r+mAY+rcmxSKkiNe82IBB4wo\n",
       "OS8BhjNkIxCKABddL8sQ4G7VAWcS4Iceesg6WcuxVYsttpg5+uijzT333OOuH/pdEVAEFAFFIAcC\n",
       "eJiwwYbg5ElwsZdddpnJ64kCcaJsCPFznvEk86obkoPIqFGjBh3GgEsSrkm9lorqNMrgxI5VdcBl\n",
       "EPQrqzpgP5yqyAURAO9YiRjL7733XtDmOYkoadn71ltv2fgKeTtCQCR0x4ssskiuoqzZIUXQRdfL\n",
       "Mhxwt+qAM62giU6y4oorWo537bXXtqbsf/jDH3qSAyYUZV6XgVxvSEpmJhSxt0OLgukKYi4WjpC+\n",
       "wFg/4uuY1zAlBbpclxAF8mzZfcdI+GjmFUWW7SehKEO3SZ8hROAdyxcYjw700Hk5yDJ4s4lGveJy\n",
       "u0UJ8OKLL16oKzxr3J5CccCvtEJRFlkvy3DA6J0h/N3GIGaKoHlJiP+800472UmLX/C0adPMyiuv\n",
       "XGgSaCFFQBFQBBQBYzchITdA6IzZ0IfSARd9xmIsVrR8N5YbxAGvu+66/bFDkwMiFCWuSSeeeGLy\n",
       "lv5WBBQBRUAR8EAADjg0Ae4GHTDBf0KrCDweV61ZBhFgiCv6x6zUjeG+ssbie72IOMW37qx87FZj\n",
       "iJ/pTwyrYMSCea07s7DLc11DUeZBq1xejIFiiZ/pOeqN0C5naaEoEUuHlCQinp1pppmCiaB9Q1Em\n",
       "ZxPPBx03zyjvWoB4vRtp0yACPHLkSIsLLkdXXHGFDe8FV3zWWWdZPcYaa6yRxG3I/y5qVl8GGCZU\n",
       "TDckDUVZ5un5l+01N6QYmzt5GjHc3NI20dhXEIYxVMJ3OCQHXGa9ZCMOF5z3WQ05N6Rrr73WnHLK\n",
       "Kf2iEojw5Zdfbi6++OJQ80bbUQQUAUVgyCEQ2sCRzTxccNN1wDxoNia4afVKyjTCuuWWW8z48ePN\n",
       "UkstZbHgNCQIci8eR1jUrL7MJFI3pDLo+ZdVNyR/rMrmVDekTxDEGjsvh1cGe6QOEOBQVtBl1ktw\n",
       "kfOL84y5W92QMgkworHbbrttAAYE4ajbhB9xCTvEJiUmb+gUM7RajJCBPPe0kH11485GJ7Re0B1T\n",
       "jLnFYhUjxZhX7jibEIqS+cYzD6nigfOlzVAccJk5XZQDjrleunMs7/dBOmCpYPfddzcbb7yxuemm\n",
       "mwx63yeeeMJgvQdnXHViQfjxj39sLr30UvPGG2/YkJfs2tAlHHzwwTYmddVt5qmvjE4jTztuXtUB\n",
       "u2jU9z2kNWraKFQHnIZKPddCcp0ygqQOOLT4mX5AePEDDkX0y6yXRQlwt+qAMwkwZysSjvKOO+6w\n",
       "caC/973vmTXXXDO3dZpMxHaf+++/v/WNg9gT8nLOOee0ivinn37ankmM6GrMmDHtqtB7ioAioAg0\n",
       "HoEYBJjNPGtoyMA6RR9EUQJctL3Y5TJF0HQMMDgB6fDDDzdrrbVWLcSXdm6//XbD4Q8jRoywuzRM\n",
       "5mkbgn/qqaea66+/nmzRUhmdRtFOqw64KHL5yqkOOB9eZXKrDthY/WZoThyXHtaTbtABFyXAQ04H\n",
       "XOZFy1sWA6/JkyenFps4cWL08GKEogydmFCEooyRCEUZOg41oShjWD8SGjEZqzck5oSiDJ0IRRkj\n",
       "SSjKGG3TJsY9oe1LeI94nyTF4IDRffMXigATirJoKkqA0TvHYJSKjlPKZYqgJUOIT4KMjx492lpZ\n",
       "E+8UQy8W42eeecaef3nzzTeH6Ia2oQgoAopArQiEtoBmMLPMMktQK+gyABYlwGXajFm2rQg6VMdW\n",
       "WWUV8/jjj9uzhgl1OXz4cGsAdtppp9n4076GKvgp77DDDql/EHF2Zq7FK9xHk3+za21y/6rGj01X\n",
       "6PFiPSmp6vH41Cdt8+mTPzQ+VbbHubQx8WZ+hW4/2R4EWHSxoZ63xIImQlWVz7OO/gvzVeR9wJOi\n",
       "zPjcdzHU90Ec8IYbbtjWD+urX/2qJZRVd5CTMDbYYIP+anlZmajog33TFltsMaAOtxxnGc+YMWNA\n",
       "fVgouvVn/ZZQlFn3pZ0q72O5yMkePv2run2JVkRouFDt8+LRbqj2wIznhVgOC0r5Hbp9d4Gucv60\n",
       "G49Yfodqz4Lb+ifH4snv0O3THtygpBDtE9VJTkKiPVQtGJqSQrTPfObd4ihGLKFDzG8JRVlkfGyS\n",
       "JB50nvK8x4Q5LTM+mRdBP1sLwID0wAMP9E2ZMqXvwgsv7GuZk/f9/Oc/77v//vv7zj///L4Wp9rX\n",
       "4jIH5K/ix84779zXEjfbqp599tm+zTbbrK+1KPa1AO3bb7/9+lr60NLNHHjggX3bb7996Xq0AkVA\n",
       "EVAEiiJw6KGH9j388MNFixcq99JLL/W1JIt91113XaHyIQu1Ngl9X//610M22Td27Ni+qVOnBm1T\n",
       "GhskgsbyeJ111jGPPfaYOfbYY80hhxxiRo0aZXBDOuOMM6yvbtU7BI45JAg36YQTTjDLLLOMVai3\n",
       "NgNWbMw1TYqAIqAIdDsCMYywkPBggR7KCKvMM0JagOoNI9ReSIMIsAwa8eMrCWs2CGXdJ04QfYug\n",
       "HBxiTRjM448/3tx9993SrSifMazr1A0pzKNWN6QwONOKuiHFcUOCuYGohYqEVXa9xE0LUXSe1K1u\n",
       "SIN0omiq/gAAQABJREFUwDJoImG1RAHm1ltvNZyQ1GLRzcsvv2xwC6ojwe2iayXqFosiGwDSk08+\n",
       "aTDSipnKhFYr2u+WiCLaLhBDBjYAIRMGFHmPIKuif4zTNdyoos48dcSYW7G4ixjzyn0WSaNG915d\n",
       "35lfLuFDBwxzETrxzENxwGXntFhCYzPgm2Kul759TMuXSYCXXnpp09JVmBtuuMFGwtppp53MN77x\n",
       "DUsk0yoqc23HHXc0v/vd78xxxx1ndz4YZGHRDCd85plnmjvvvLNM9aXLlgmtVrRxXhY9jrAoev7l\n",
       "xCDJv0S1OX0t/KtsdZFFFqmyOu+6MLITAz/vQhVmDB0Ag65jSCQJQyjG7xqCyb06PxdeeGG7roYi\n",
       "wGXXS55T3gMZhlwoSiYEk2fPPfe0YSIRPc86aya9LjV/iPfMH4lY0GIFBweODjpUDNNSg9DCioAi\n",
       "oAi0QSCG/pfuwNB0iw6Y/goHzPehnjJ1wIiL0L8SHhLXI7jQrbbayuAeVGciBvWyyy5rm0Ac3QTi\n",
       "W1anUQQv1QEXQS1/GdUB58esaIle1wHHCMLBs2LNhkOsi4FKzoey62URAtytOuBMAnzeeeeZu+66\n",
       "y1x77bUWX/yDIY5c77WkoSjrf+IairJ+jKUFDUUpSNT/6YaijMUBv/baa9amJhQBThrv5kW5iAi6\n",
       "W0NRZhLge++914p/JQgFhgQtX1pLlPMCqvkVAUVAEeh1BGJxwODO+h2KAJd9zkU44LJtxiqfSYBR\n",
       "3EOE3YRBlkQ5ca/rd0VAEVAEFIH2CMTigOkVxLebCHBeI6z2yDf3bqZV1UEHHWRWW201M2nSJDN9\n",
       "+nR7NCCiBc4H7rUkUoCQ42bH6lpQhmw7hqUq4fJiuCERvg79WKwUwwo7RpvgC87gHSvh2hja5Yxw\n",
       "uhKKEgIsYShDYsA6wlnrcJYhUlkmrQgHjIV33TEq6sAukwCzCP/hD38wrfBlBp3ReuutZ1ZfffXg\n",
       "x9TVMei8dZY1q8/bHvnVDakIavnLxCJG0lN1QxIk6v+M7YYUSwSNNDNkKrte8pzEE8a330PGDQlr\n",
       "MnaJP/zhD20gDnx0JV1//fU2FCW7KU2KgCKgCCgC/gjEFEH79zJ+TggwWPVCGqQD/uUvf2lFJhwF\n",
       "2DoUwX5HhMLfXnvtZTbffPNewGXAGMua1Q+ozPOHuiF5AlUym7ohlQQwR3F1Q3rHxODCscQm0lyo\n",
       "VHa9RAQNB0x0K980ZNyQ9tlnHxuG8KSTTjIPPvig/Q4x4AECyr777uuLyZDJVza0WhEgYoZWixEy\n",
       "kPlFqMDQibkdWi/ojjHG3GKxipFizCt3nMyvkISItplfMq9jhaFkjuUhZi5mRb6XndMcKUj8hzxi\n",
       "6JjrZRGMpMwgDpgbWMu1jmgy6A4Y2Mcff2xPQkIf3IuprE6jCGaxdcChDcCIjxuDO0AHHMPoTOZE\n",
       "r+mAY+rcmV+h4jDzXDlNjvcIYgLhRwIQI7AQ67gbj1rmXl2fVayXPKs8BzIMGR2wPBQORyAC1nPP\n",
       "PWfGjRtnjydk58wubo899pBs+qkIKAKKgCKQQIAjXRdffPH+q6r/7YfC6wsEGKO1WHHLvTpZQaZU\n",
       "Dph6f/3rX5sLLrjALLDAAubKK680l1xyib129dVXV9Bsd1VRVqdRZLSqAy6CWv4yqgPOj1nREr2k\n",
       "A2asiJ4hvEgQY1lA86y6TQdMn4UA890nDRkdsAwW9p/joAjGgRhlhRVWMMj28dfstaShKOt/4hqK\n",
       "sn6MpQUNRSlI1PcJ0UXnLaEoY3LAhKJkQx8qlQ1FST8xxMoTjAPaFINRKotpph8w1s6EnmQXt9tu\n",
       "u5mnn37a7Lrrruaoo44q26aWVwQUAUVgSCMAARbjKwYakwPuRqDz6oC7cYz0OZMAjx492kYWYeJs\n",
       "t9125uWXXzZnn3222WCDDbp1rNpvRUARUASCIABH5hLgmBxwkAFX3AgRxODch3rKJMAMfJNNNukf\n",
       "/xJLLGH468WkoSjrf+oairJ+jKWFWJbIvRSKUnTAEBI8SWISYFSIIeNAlw1FyTxFBP3kk0/KlO34\n",
       "OeRCUeIHfOmllw4aOET5Zz/72aDrQ/lCFWb1efGJ7YYU2l0ilHtI8jnEIkbSj15zQ4rp8oVYM0QS\n",
       "n1Q4YIjfueeea8aMGRMtjn63haLkGRG3u6fdkLbeemszcuRIO1+ZUCi4Tz31VBsdK8Qk1jYUAUVA\n",
       "EehGBD766CPr7yuGTxglnX766WajjTbqxuFE6TN+088++6zBuhlmBMPBCRMmmDPPPDNKf+pqNFME\n",
       "zakdyZM7+H3iiSea9ddfv67+NLJeNh+hxdC8vIit2EGHTiwg6LAQn4VKRL0hAg4735AJN6Q555zT\n",
       "zD777CGb7W/rzTffNKG58BhtMmDEsh9++GG0E5Hef/99Kw6u25OD9wdOX95hxj5q1Cg+oiQssZEw\n",
       "hRJDV7FecvAPDCAGwASFuvPOO20siixRPoRaPHeigFyw0UwCnFYf7jh5xAJpdXTjNYhR6CRirNDt\n",
       "0l6MkIHseGMcR8giqaEow8yyGPPKHRki4RDPGgtoNnXMLf6Y2+i/YyXWL9aTUKmK9ZK14JhjjjGP\n",
       "PvqojSjG5gkD4CeeeMKezJccS8z1MtmXPL8zCTCcLsE3JDGpsEq7/PLL5VLPfKoOuP5HrTrg+jGW\n",
       "FmJFF4Ir7AUdMGulcMBIsODaYhLgbtQBy1zlTPprrrnGvPHGG5YYc0QuR+Mm05ALRbntttuaNddc\n",
       "s3+ciC8QQROcQ5MioAgoAopAOgKiA0YsSuIzJgFO72X3XEUHDBMErrfddlv3dNyjp5mhKBnwWmut\n",
       "1f+HTL5XiW+MCCuIrtDdxEhMdHbtIRM6YMRMoZOGogyHeK+EouT9ERE07xG2DbFsDHi63RiKMm1W\n",
       "Lr/88nYjM2XKlP7bzCnOK2CT8/bbb/df75YvgwgwxgJ33323tThbdtllTdofsnjOC+6VpKEo63/S\n",
       "GoqyfoylBQ1FKUjU8wkBFhE0xI+z1OHiYqVuDEWZhdXOO+/c7x7L5oYgUYcffrg1Go3BKGX10/f6\n",
       "IB3wGWecYUXNiJuzol7NmDHDHHDAAWb77bePYqXrOzjNpwgoAopAaATQAeNHLwarSLNUBF3NU0At\n",
       "ev7555ubbrrJ2iihKr3++uurqTxCLYMI8CGHHNI2CDZHFOKPxeSKuauLgJU2qQgoAopARwTECMvV\n",
       "AccUQXfscJdl4IyCLbfc0lx44YXWt5qT+0JYt9cB0yACPH78eGs2/8ILL5jjjz/e7LvvvtaHjcMY\n",
       "zjrrLLPKKqvYfuywww519KeRdYb2AQYEDtCO4QNM2zEsVTUUJciHSaH9jmVUcIHzzjuv/Az+iY95\n",
       "iIVadMC4H9EmesqYiXUklA8w46wiFGU7vEaMGGHuueceI1HkiHAG5vPNN1+7Yo28N4gAi+Uz7kbH\n",
       "HnusQeZOQje83HLLGQg0oudeSuqGVP/TVjek+jGWFtQNSZCo5xNiAFFA9MzGMjYB7mY3pKwnJMSX\n",
       "+wQMIsBLN55VMMgISwbMzo0Qam6aNm1aV+4y3DHod0VAEVAE6kRAOGBE0BBfFT/XifYnBDi010ZV\n",
       "IxrEAUvFu+++u/n6179ubr31VhsSbOrUqfZIwokTJ0qWnvmsIrRaXrDYPTOpYoihWUA0FGXeJ1Ys\n",
       "f4ywkDHaBB2IUS+EokQHLG5IuLlxsk/M1I2hKPPgBQeMFwVuSN3mKpvJAS+99NLm4YcftrE40Ufu\n",
       "tNNO5pFHHjErr7xyHmyGRN4qQqvlBSJmaLUYIQPRl7nnp+bFq2h+Njoh9IJZ/Ysxt8Q4KKtPdV2P\n",
       "Ma/csTC/mGd1J+GAmVtsOmLYVLhjZI51WyhKt/+dvkOAObc+1rzu1L929zM5YArBfe255562/Isv\n",
       "vmhOOeUUu4PFGKuXkuqA63/aqgOuH2NpQXXAgkQ9ny4HjKdICKLfbiRDUQfsjhd9OwR4oYUWci93\n",
       "xfdMDpjes2PEx+prX/uaWWaZZWwg7G222aYrBqadVAQUAUUgBgIuBwz3qe6a9T4FOOAhpQNG54mz\n",
       "M3+4DqBDePLJJ21UrHqhbGbtqgOu/7nocYT1YywtqA74cwJFLZ8QYKJfobojvGrdxx92GkQv6IBZ\n",
       "P4aEDhhdL3pewpf95je/MYieF1hggdp9uzpNopj3NRRl/ehrKMr6MZYWNBSlIFHPpwTiwPcWo7PQ\n",
       "Z1wnRzWUQlEmx8Zv1Ffo2rsxFOUgETSc7gorrGBwdsYQi0DimhQBRUARUAT8EIADxvAKDhj9L5+a\n",
       "6kMAWyXCI3djGkSAOW/xqKOOMg899JB1bN5iiy2sfD2UhRkTtlvl+d04AbTPioAiUB0C4r2A6g7d\n",
       "L5bQqgOuDt+0mnDzAufYxm5pfet0bRABhuPdaKONrPgZ0cWmm25qhg8fbpZaainzve99zzz22GOd\n",
       "6sx9H+J+5JFHGqz1mKyIFPCjgxO/6KKLctdXdYFeDEWJYUPIhJ6MAPahE6ERYwbKjxEWMkabPNcm\n",
       "hKKsWxws3C/jhfNlbZt55kHLLLeDpaEWijINuFihbNP6kuda25mBeTexoAnCQexNiCIBsKtO+++/\n",
       "v3nqqafsCRco0/EXFEOwc845x5x99tlVN5mrvl50QwodAIRNF/MtdIIYxfTTdEPqhRp7TDekWMQf\n",
       "bJlfdbu7iQEW7UGA0QHPMsss/IyWYGxCisFjrJcwDDF86ss+1LZ+wG7lK620kjn11FPdS5V9v/32\n",
       "282DDz5o3JcTsQJxqWnzmGOOMWPGjKmsPa1IEVAEFIE6EBADLOqG6GEcFEOyU8fYmlwnhsJvvfVW\n",
       "k7uY2re2HHBqiRouImqePHlyas2EvowdXiyGdR06DdwHYiR28aH18Eg+cNkInQgVyCIZK+ESFDrF\n",
       "aJMxgjN4x0rML+ZZnckVQaNOQyccU8XBWFlHQupHY6yXMG94UnRb8uaA6xzYuHHjzOjRo22krcUX\n",
       "X9z6zXHe8DPPPGMnzs0331xn8x3rjiHaEGOOjp2rIUOMkIEsEDF0ZWx0NBRlDZMopcoY88rtBoGF\n",
       "6n7WcMD4AJPggJlfsQnwUA9FCdYwaagxuy01ggPmjOHHH3/cTJgwwWyyySbW6GvjjTc2p512muEE\n",
       "Jl892XnnnWfWX3/91L+rrrrK+jS7LyBnHvv8Fp2Gb36ZBGXys3vmZfbpXxXtUYf0F5EZOmD5XXX9\n",
       "afWhm8ORPvR4GafogEOOV/B2wwSGal90wKHak+f9xhtvDDhcJHT7zC/XzqCO9l0OeN1117VcmRDg\n",
       "OtrzeV9EBxyq/RjrJVJU1KQ+eMh8TOIh10N+ztTitPpCNujbFuIqLAiriiJz0EEHGURvnHOsSRFQ\n",
       "BBSBOhCYNGmSPbQGV84jjjjCMhZjx461jEUd7Wmd5RE4+OCDzY477mhWXXXV8pXlrKERHHBan6+5\n",
       "5hrDxG1CiqHTUB1wmCevOuAwONNKL+iAXSMs1Cq4ua2xxhrhQE5pqRd0wDBrSDi6LTWCAC+55JIG\n",
       "M3L3b6+99jKXXnqpvfbd7343Kq4airJ++DUUZf0YSwsailKQqP7TFUHjgrTVVltFd48Z6qEoeYro\n",
       "uWMwSmVnUCOMsAi2sfvuu9szh3fddVc7Jk5hwjUJvTD+x5oUAUVAEWg6Ai4B5tjW5557ruld1v5F\n",
       "RKARHPDaa69tI2xx8ANiZwjufPPNZ/3nMMDiuyZFQBFQBJqOgGsF3fS+av/iI9AIDhgYMLa65JJL\n",
       "zJVXXmmwHlx99dWjR5CRx9OLoShl7KE+Y4WS01CUoZ5wM0JRulaydYwcDljckKgftZr7u442O9XZ\n",
       "C6Eo8RrpRkatERywO4G+/e1vGyJjcbqFGxnLzRP6u5jVh2yXCTVs2LCQTfa3JW5I/RcCfNFQlAFA\n",
       "/mcT4oYUrsVPWsLdK+Y7HSIUpWuExaghfrEjYYkbUqjnHWO9xNVroYUWCjXEytppDAfsjgjC87vf\n",
       "/c69pN8VAUVAEWg8Aq4OuPGd1Q5GR6BxHHB0RFI6EMO6Tt2QUh5EDZfUDakGUDOq7AU3pCQBJqQr\n",
       "XHHMpG5IMdFv33YjOeD2XQ5/V0NR1o+5hqKsH2NpAZ/JGAn9KxvLWCl0KErGyXhDnkSUhm0vhKKM\n",
       "Gbo3DXPfa0qAPZCKodOIrQMOrbeq+5i4rMccUydJn3zDrGb1v8j1mDpgCftZpN9ly7hhKMvWlVU+\n",
       "aYSFDjh2csOdhuhLjPWyW3XAKoIOMSO1DUVAEegJBJJGWD0xaB1kYQSUAHtApzpgD5BKZtHjCEsC\n",
       "mKO4HkeYA6ycWVUHbKJEpNJQlDknajdl11CU9T8tDUVZP8bSgoaiFCSq/RQdt5x+RO0YQH3wwQfV\n",
       "NpSzNg1FmROwgNmVAw4ItjalCCgCQxcBjYI1dJ9tXSNTAlwXslqvIqAI9BQCSQOsnhq8DrYQAmoF\n",
       "7QGbhqL0AKlkFg1FWRLAHMVjWX4jmiX0Z6w099xzDziwvep+pBlgaSjKqlFOr69bQ1EqAU5/ngOu\n",
       "xjCrVzekAY+gth+xiJEMSN2QBIn6P+t2Q0oaYDEidUOq/7nSgrohhcFZW1EEFAFFIDgCxx57rPnl\n",
       "L3/Ztt00Aty2gN7seQRUB+wxBdQNyQOkklnUDakkgDmKqxtSDrD+mfX99983hJVsl9J0wBqKsh1i\n",
       "1d1TN6TqsGxcTRqKsv5HQihKQgWGToQKrPuIunZjijG3ejkUJfOsSKIcBDaZpk+fbiDOpDQraOZX\n",
       "jHnt9lNDUbpoNOu76oA9nofqgD1AKplFQ1GWBDBHcQ1FmQOsf2aFiH744YeDCh5//PFW/3jyySdb\n",
       "ApwMtak64EGQ1XJBdcC1wKqVKgKKgCIQH4EsAsz1xx9/3AbbUB1w/OfUbT1QHbDHE1MdsAdIJbOo\n",
       "DrgkgDmKqw44B1j/zJolgiaC28orr2ymTJliRdRJDlh1wPmxLlJCdcBFUOuSMhqKsv4HpaEo68dY\n",
       "WtBQlIKE/2caB8wReMzbZZZZxrzzzjuWAM8xxxwDKtVQlAPgqO0Heu4YjFLZASkHXBZBLa8IKAJD\n",
       "HoE0Agx3SwAZ7BcgwHBhc84555DHQgdYHQJKgKvDUmtSBBSBIYpAGgF+++23zfzzz28I8AEB5nfd\n",
       "wT6GKLw9Oyy1gvZ49BqK0gOkklk0FGVJAHMUjxX9q5tDUeJOJC5rM8/8Cd+SJMAQ4WSoTQ1FmWNi\n",
       "lsiqoShLgNf0ouqGVP8TUjek+jGWFtQNSZDw/0S8zCYRn9955pnHFpwxY4aZb775+jlg+e3Wqm5I\n",
       "Lhr1fVc3pPqw1ZoVAUVAEYiKAASYwxzcs31dDhhjLCz54Xg1KQK+CKgO2AOpGNZ1iLuwoIyR8Gfs\n",
       "FHav6n6pG1LViGbXp25I2dhk3cHKFg7YJcCvvvqqQT0F0YUYI8WZaaaZBlShbkgD4Kjth7oh1QZt\n",
       "/IpjhAvExYFJFSMRmpENQMikoSjDod1L88pFFUOqIqEoeRcp6xJgRNEE4Bg1apSZddZZDXrhNO6X\n",
       "94iyMZOGooyJfvu21QirPT72ruqAPUAqmUV1wCUBzFFcdcA5wGplhYChY5xrrrn6OWACb6y++ur2\n",
       "OrURgCPNAlp1wPmwLppbdcBFkdNyioAioAg0GAEIMFa26IAlHvTkyZPN+uuv399riHMaAe7PoF8U\n",
       "gRQEVAecAkrykuqAk4hU/1t1wNVjmlWj6oCzkEm/jsgeAoz71muvvWbeffdd8+yzz5o11lijvwAB\n",
       "ONIIsOqA+yGq9YvqgGuFN27lGoqyfvw1FGX9GEsLGopSkPD7ZHFHxLnkkkuaF154wcZ9RvwMUZa0\n",
       "xRZbWJG0/JZPDUUpSNT7iZQiBqNUdlSqAy6LoJZXBBSBIY2A6ICFAGOUtfXWWw8Yc/L3gJv6QxHI\n",
       "QEBF0BnA6GVFQBFQBEBARNBYOeNm9OSTT6Zyu4qWIpAXAeWAPRDTUJQeILWyfPe73zWcBnPWWWf5\n",
       "FXByaShKB4yav2ooynwACwdMKWI/Q4hnm202r0rImzwhyatghZmwxMZVKlRacMEFQzXV346GouyH\n",
       "Yuh9UTekzs/0mWeeMQQm2GyzzTpnTsmhbkgpoNR0Sd2Q8gErVtCUOuGEE8zss8/uXYG6IXlDVSqj\n",
       "uiGVgk8LdzsCcL177rlnoUAH3T527f/QRYCAGx9//HG/wRWxn3E50qQIVIGA6oA9UIxhXddNoSjv\n",
       "vfdeu0gh2kRfViSpG1IR1IqVUTckf9yOPfZYc/PNN/cH3PAv+UlOdUPKi1ix/OqGVAy3riiFCCp0\n",
       "6pZQlITZO/fcc82YMWMsl1CUAGsoynAzrOgzKtvDGCFO3T4XCUVJ7Gc2LK7LkVtnp+8airITQtXc\n",
       "j7lelhlB4zhgFuLQBwF0ArAXdcC+uqsbb7zRLL300ubLX/5yKQKMDjgtkEGnZ1P2Plw7YQRjpUUX\n",
       "XTR40zF1wLEMwACZ+ZXX1gARNAQYHWORxHsUW2S98MILexuNFRljskyM9VJ1wMmnkOM3O/IjjzzS\n",
       "MFHYafKSEFlmhRVWMBdddFGOmpqf9fXXX7fjan5P/XqIfkwWVZ5dLO7Kr7eaSxHIhwChJ6dPn16Y\n",
       "AOdrTXP3GgKN4ID3339/89RTT5mbbrrJnqmJqAq96/nnn2/OOeccc/bZZ0d9LlXqgAlhB9FijO1S\n",
       "t+iAObpQOEhcM4oSYNUBt5sN1d5THbAfnoisEUETAzp5zKBfDcZK83jfYyaicRU5Bapon6tcL337\n",
       "wLrDkZDdlhpBgG+//XarRxwxYoQV1zDZ55lnHrPmmmuaU0891Vx//fVRca0yFCUEeNiwYeYvf/lL\n",
       "2zExoeCWYyQWHd+ziOEQhACX4YA1FGW4J62hKP2wZk7ix1vGr1VDUfphXTYXdjoxCH/ZfjeCACNq\n",
       "5nSRtDRx4kTr/J52rxuvCQHm5R4Kid19FQR4KGChYxhaCPCOog575ZVX7OELQ2t0OpomIBAuPEqb\n",
       "0Y4bN86MHj3anHLKKWbxxRe3B19z4gjBHRCd4AYwFBIirZdeesmsvPLKZsaMGdZ4qdvH5Yqgy3DA\n",
       "3Y6D9n/oIcA7it/vY489NvQGpyNqBAKN4IBXWWUV8/jjj5sJEyaYTTbZxAwfPtxsvPHG5rTTTjPT\n",
       "pk0zvpai5513nj2jk3M6k39XXXWVefHFFwfoXiGGri4267eEosy6L0+y031iyFIX4ewQQbfLjz6V\n",
       "P5/++bbfrj3qkPtwtIje5He7+v/2t7/1c8BwDK6uyae8jI9QlFicym+3P+3aL5sfDkcsXPP0t6r+\n",
       "LbDAAjI8L7zLjpfyYjQXeryIY10r5NDto1pxLZI7tc9chgBL6pQ/7T6W1xKKMu1+Fc+zU/8kFGWo\n",
       "9kVkH6o9xs/mf+aZZy61fgiOIT9navlP9YVs0LctuEX0iyzMVaSDDjrIuhNcfvnlVVRXqA7E6Rib\n",
       "sQDy4hE7udvTvvvua/793//dLLfcctZgZfvttzfLL7+81V9fdtll3T487X8PI/CrX/3Kjn633Xbr\n",
       "YRSG/tAPPvhgs+OOO5pVV101+GAbwQFj8UuM1d133938/ve/N1dccYWBM2D3uM0225gYgTDqeBLo\n",
       "f5dZZhkz77zzdjTCqqP9OupEBI3LGElE0HANvn7EdfRJ61QEqkBARNBV1KV1KAJpCDSCAB966KHm\n",
       "7rvvtkT3O9/5jiH82zXXXGMPv0YMFNsKuirrujwEuKluSDfccIM58cQT++dSUgdMv9kwcT1PUjek\n",
       "PGiVy6tuSH74oSZis1wmaSjKMuj5l+1WN6RGGGFhZIWhA+Jm9CXoitZbbz2L/vHHH29++MMfGghz\n",
       "rFQFBy5uRRiZoatgd90uxQythngcQpqW2AyhH5YEoRUdF9fQW6MXzuv7yEYLXEInxunq4UK3X8Xc\n",
       "yttn5mKM1G5ehegPaq08z1qsoMv0jfnFOxEzMcdCahpjzOmY62WZZxt+xUvp7WKLLdZv5v+9733P\n",
       "7LLLLv25MFxaYokl+n/H+FJFaLXnn3/eUA/nciKiZXeNPhgXrDS/TMS5+Au7CSMy9BV1JwxV0kTI\n",
       "cKkYVrjJdUPiOv0uQoAxztFQlC6y9X3XUJR+2FYhgtZQlH5Yl82loShLIDh27FjzzW9+0yDexEp4\n",
       "5MiRtjbCU0Jw0A13exLxM+OAg4Tj4/zcDTfc0Pz2t7/1Gt79999vJk2a5JW3jkwPPPCAWWONNaxx\n",
       "HPWz02V373KuQoDziqDr6K/WqQgURQBOGVdIV9pTtC4tpwhkIdAIDhjXo+eee66f8Epnt9hiC/Py\n",
       "yy9Hj51chQ7YJcCMD9eqF154weCCNWXKFJMMzIHoKhmNClctdtSdxNeCX9FPiGfagRgcO7j++utb\n",
       "a2fqdqNgSVtCgPOKoFUHLAjW/5lXB8yzRBXEqVdlEpKRThHgytTfqSxubswzn8T8Jxqfu7n0KZfM\n",
       "ozrgJCL1/O5WHXAjCDCPBP2v+I/JIyIUpURZkmsxPouGoiQ2KWE12U2nEWDE0vg8f+1rXzNXX331\n",
       "gKGJzlgusgiyScHd57XXXpPLtXymhaJk8WQDMGrUKOuvS8NJ8TPXIMBwxuTPk9iAwHGEThCjvJuF\n",
       "KvuIFCR0SlN5tOsDxJfnc+edd7bL1vEeOOcl/h0rzZHhnXfeSd1YplVRhQEW9WooyjR0q7/GmlMF\n",
       "o1R9z9rX2BgC3L6b3XmXSQGHC8FkJ+zq3oQD5tq3v/1tg49wO0KA7nXJJZe0dVBfkjuuG6GHH37Y\n",
       "SiLgCuB8SXDKyQ0SBFgCHki+uvum9deHAHYHRKQ7+uijc2+q6utV/TVXRYDr76m20M0IKAGu8elB\n",
       "oHBjgPtdaqmlBpyoAgGGqHIEI2Ll1Vdf3XC2blZi946UgPzkQ09OdK9Q1o333XefWWeddewYsHqG\n",
       "yGYRYK5zgowS4Kyn2T3XCQ+LYSRzr5eepxLg7pmj3dxTJcAeT09CUXpkHZAFjhYjDqydCcDhJkTP\n",
       "6FPhGEnEwsb3WdwkMG5yLZHhoKkLy+ipU6da4otOdu+99678GC4JRSn9xX3jwQcfNGuvvba9hJW0\n",
       "EGDXBYmbwgGzYJPHN5HfDRPoW65sPjZIEoqybF1FyktYyCJli5bxbfOWW26xG7zNNtvM6kJ5tu2k\n",
       "NJ36A85l/Wo7tdHuPptC/nxSVQSYdzb5jvi0X2Ue1hG8L0KlpCoxRLvMTTdsaIg2q2hDCbAHikXd\n",
       "kOAEca35wx/+MIgA81JceOGF/a3TxkILLWQISsIEZkK5bkhCgL/yla+Yu+66y6y22mo2VvZaa61l\n",
       "DjzwwP56qvjiuiG98cYbBjcx/JfFIpRFDOLKYpwUQfOiY0CWlwCrG1IVT86vDlcVklWC58v8POyw\n",
       "w/qzMC/KcMHMFV/i399ohV94F91Y1O2qrooA857H2Fi6Y0NqFtIXueh66fY573d1Q8qLWA/kh0Dx\n",
       "0v/xj38cRIDThr/VVluZM8880+aFiLlJCDATTQgh97fbbrtaraLhfDfffHMzfvz4/u5AgFmgOKZt\n",
       "9tln77/OFwgwfWTRycMBD6hEf0RHAEMtiAeSGkkQUDaVvZCqIsC9gJWOsTgCygF7YFfUug4CDCfL\n",
       "8YPuqTdZTRL9C+thdqyvv/76AEMrIcDJssRhhthhcV1VYpGlPRKuG/j+urt4CPB+++1n/ba//vWv\n",
       "D2gWAozILS8BVjekATDW+sPHEjktCAVzrcymqpvckKoiwLxHZcT2VUwEDDaJOxAqFV0vy/RP3ZDK\n",
       "oNfwslgzF0m8eIiTL7744lzFEUUzid2QgVkEmIoRKeZ1LWnXIfTQwoFDgJN6M4jriiuuaMWTfLpp\n",
       "lllmsRwwi3UecSULBLrm0Ilxit49dNu0V3RulemrO6+y6kkjwDz3PM80Wbc7r5L3QvxmfvkSoqoI\n",
       "MPMrxrx28WSOhTLWpN0Yc7pbQ1GG08y7M6LLvhfVacBJJnWkPkOHAE+fPt2g35XkQ4C//OUvS/ZS\n",
       "nyy0/JEgwPJdKuW3hNGUa/JZlAP21c1JO1V9xtRJMgbfs66rGi/1+OiA0whw3k1Vss+8C0Xeh2Q9\n",
       "RX/nCXVaRRxo+okYP3ZCohYyFV0vy/RRdcBl0BuiZeGAi1hAQoAxfnJTOwLMIl6WA0aEvdNOOxnc\n",
       "jdzdMgQYgyo3QWTxB+YvmeCA0Qtj7frII4/0jM4wiUO3/04jwBDPMhxwt2DCu8acZy5rUgTqREB1\n",
       "wB7oFtVpFOWAcXtCTyfBNhCbQcyTomDpOgS4bHSshx56yIrnLr/8cuuTfPvtt9vq00TQGIHJaVXS\n",
       "B/mEOEOAie2N7vuQQw7xEkmpDlgQrP+zqA4YyUcZAtwtOuCqxM88SYi56oDrn9OqA64f42gtFA1F\n",
       "WZQDxv2IFxdDLFI77pf7EGzJy+8iCULLwRBYYZ900knm97//va0mTQSN5TVHRKYlCDDiINIee+xh\n",
       "Raw//vGPrR4MzhojniR3T14NRQkKYZKPtCSNAy4rguZ98CH+daHgG4qySgKsoSjrepoD60XvXJRR\n",
       "GlhT2F/KAdeINxxwERE0uioWC0kshu10pFhYQ8B8DUykXvcTwigcNiEvIbxc4zMpgnbLJb8TvN4d\n",
       "MxwwhPfkk0+2xk4bbbSR9W8+55xzkkX1dyAEMArqdAIXKon5559/QI/KEuABlTX4R5UEuMHD1K41\n",
       "AAElwDU+hKIcMAuda517991320MQsroK0cPYA8OttAQH3SlBbMXYivqw3oYLhgALYe5UB/dHjBgx\n",
       "wHgMPRrB/BkDovK99trLukwR2P+EE04wiLx/97vfqa7YB9yK8iAK/sEPfjBANMq521/96letGxxi\n",
       "5uRGiqaVAFf0ALQaReCfCCgB9pgKZUJRFrX6ZLETTpJzeF2L6LQu00eIHCJkSXDRO+ywgznvvPPk\n",
       "UuanS2jpM/UR8pIIOnmMURBjo/91E2Lp3/zmN+aOO+6wYmlCxp111ln2oAr6eP3119toYbIBcMvW\n",
       "/b0XQ1HyTIlsJqoVPo866igrQUF/zxGgcL+uMR7PoSwBRjXR1FCUjFXG+9Zbbw06ma3oPNRQlEWR\n",
       "y1dOQ1Hmw6urcqeZ1cPdctRgO7FvUQ4YcCBG1I++Dv3GEkss0RYzLKfJi88xeicskHfffXez/vrr\n",
       "G04y6pRcAkzbHHvI8YN5xM/t2sBi2o2HzQJPEI8xY8bY4xg5ijCPm0i7tvLcww2p6CYpTztZeWO4\n",
       "IWGwwpyG8CL5QJ///e9/3262kLygLkBSwfxzE8S5jBEWOMd0+2J+ZalyjjvuOHPkkUfa4RLhrSrX\n",
       "HQ1F6c6g+r6rG1J92DayZgyJOK+4nUFLUStoBszOGdExoSA5g7dTEg542223NXvuuac1pDr22GPt\n",
       "YQ0sqtOmTTM333xzZjUQYJcDheBzVi1cT90JIu97UHrdfemF+pE6oGLgNC7mCKdcoZvnOTz22GOW\n",
       "EKfNOYgv8/2FF14YcjCxkeZ8bhLz3sdXesiBoAMKjoCKoD0gT7OuQ0w1vBUnt537TxkOGFEdxiD3\n",
       "33+/FwFmB4iIl4MZVlhhBfPLX/7SRqtiePQTPSvWzVnJNcJi4wBBphy6wLoThJ8FkDZDJzBGJxor\n",
       "xbAK5llDgPH5JsHtkpBSYKCVpfPH9Yy44AcffLDNn/dfk92QmH9sqjFmZM6n+bjnHS/52USzDsRM\n",
       "GooyJvrt265/dW3fflfcTQutxsIJgWrHAcMxFBVvwgHDFaKPW2WVVTritOWWW1odFoSYgxNczhVx\n",
       "46OPPmoNu7IWA1cELSEDOcM4j/63YyczMsB5sTjHCNnnGrtldK/Wy2lzq9YGW5XLHGCjhiGcbLJ4\n",
       "DizWWXpaRNK77babtWYvIrGQeVX3+LLqZ35lqYyY/4inObu7Su6X+RVjXrsYMMdEv+1er+t7jDnN\n",
       "+HxCrNY15qL1zlq0YC+VS9MBwwHzomZxwLx4EK+iBAx9FccYEl6y7FFi+BWj7+NQhRdffLGfM3af\n",
       "IZsFEUHzyR/GVGwA6k5wXHAfsXTAdY+vXf0xdMBsGjnjN2nYJwQ4S08q41h66aUtoRo5cqRc8vpk\n",
       "M1p0Q+rVQIdM7eYXBBh3vwkTJvSfe92hOq/bGorSC6bSmVQHXBrC7qqgEwF2CVqRkbEIYgySpovL\n",
       "W9+qq65qjjjiCANHCwFOJkSSWFwnjW7gkOCs604Q+xji57rH1dT6swK7IHZlXmdxwDIeCPBzzz0n\n",
       "P4fEJxw91vhInr797W8PiTHpIJqPgIqgPZ5Rmg4YETTuNFkRqBBldbJcbtc0iyH6SQy9yib6waLC\n",
       "ZxYBdvV+6IB9fIfL9kvKw3nB5ccgwk3XASO2xY2sKjEm1uZYM0Nokok5RwCOThww1uzM707pjDPO\n",
       "GHDYRJN1wBBgAtr86le/GtDnTmPsdF91wJ0Qqua+hqKsBsdG1iL+krj14K6AQRNEGY6Sl5aTgZIJ\n",
       "S9EyBBjR1b777luZGxD9Q2SIURdEx00QPpcAwxGjCwyVEB8xXgxg8qS0kJZ5ypOXjZToRPOWrSI/\n",
       "FrftEvPs3HPPtVbs7fKl3eO5IlKVBIeHyxEuNmkEmI2QDweMTcIzzzyTqX6hPTYMxBNH+iIJnGMY\n",
       "nUn7WH9DEHmvvvWtb8ll+/zxIy2qLuqvKOUL7xHvU8yEmgyVWKiE5C50Qu+cxiiF7kfe9pQD9kSM\n",
       "hYOXabXVVjNEDVpsscWszhIOdfLkyVaH6VrTwmkS0rFoghup2meSzQIi5WQYyCQBLtrnMuXgynwJ\n",
       "IfkYw/LLL2/uuuuuMs02riwcqpsgdMw57AHyJiQZV111lbn33nttxLHLLrvM+v+CH3gnky8HzGZt\n",
       "l112sf7CyTrkN8+FYB/uOyH3Yn9iAY5kQRLcL5sPTYpAaASUAHsiDrcFx0vwCBz2Tz31VFsSw6Zr\n",
       "rrnGHHrooTYIhlQHB1yGAEs9VX/uuOOOdjF/+umn+6tmoXatpvtvBPwCQfBZrPHVZPGHUEFQOMVp\n",
       "KCW4s2uvvbZ/SEKACYqSN0FYMCD86U9/ajcqbFrGjh1r1l133VSRtq8RFv3AQI+NG5vPtHTFFVeY\n",
       "0aNHW+vbtOdKWeagSwjT6qnjGuJK3mexiG7CBrSOcWqdzUdACbDHMyLIBeINPpMJonzLLbdYMSGL\n",
       "ESJeRE681GU4WHSidVhQIu7dZ599+jcQjAeOHsMaSViqpoko5X4dnyyG+JeyoQG7rIT1Lq4wxDKm\n",
       "z2WDQmBwBCaxUnKOIL679dZbragYQoF6A5EvRk959cAQYCz1CUd6+umn9xtXcS1N3Apny2ZMrOHb\n",
       "YYLBHsSckKIiuYDr5TrBPCCscO7iz05d4Mxv7uF7zMZAXKDatVXVPcbHH+8n7zKBSEh1csC8RxJS\n",
       "tqpx5K2HdYRwsKESEobQSUNRhkY8YHssLBhbpRFgCCXcGy82UYV+/vOfm0suucQGti8z6ZlQuA/V\n",
       "kYh6RL/ZOJCeeOIJe4iCtMUCXAfxl/rTPoUT4qjDCy64IJMzIta06Nbh7jiAooz/HwQwpmuM64YE\n",
       "gWUunX322YbQotgcYICFNTrPJK+OnI0MXO1OO+00QOSc5eeKmw5t+SbCleImx3wnsYnaZpttbJ+/\n",
       "853v2GsQIDHoA2fwhjsmFGnS6t4WqPEf48PADOkJ8dXZKJDq5IB5j3w2NDUO2+r8ed9DpTS3zbrb\n",
       "ZnPHO9NtSTlgjyfGThmrz04PGI5sv/32s3+yAHlUHyUL4SoJTYl4EK7LjdMco0NsVuAUvva1r1lu\n",
       "L4szQhIhzwEuDmISwlc5BCY8CzBgXMTIlqMc2YxBONoRYDaJSWlAXs4OXCdOnJhrqIiZRQ1A/9gM\n",
       "sbHbZJNNbD1CgDlZ65RTTrEbWY5CRIKBUVSMBC6cxnXDDTcYLLUhyKoDjvEktE0lwB5zYPXVV7dW\n",
       "n7LwtyvCkW5EZcHgqUzCarFOS2SieEF40TEiRnd3yKHdkMAJwgq3AFeF1WbScpQFnWMN4ZpcjoK+\n",
       "iyixCN5NckOCALvGUSuvvHL/kNoRYObJ3nvvbX70ox9Zw7TrrrvOlssiwFVaItMvXJdIEOCdd97Z\n",
       "Pj/ZQAkBps1JkyZZIowKgXeJZyySD1tBzf/gdMEEgstmmXCt9Pn8888f4AVQZTfUDalKNLPrYuMn\n",
       "8zA7V/PuhFMMNG/s3j3CmpPFoy6RcFpH6g6thsUrRJdTkzjD100siiHdFmj7Zz/7mdUHwv3hUgCX\n",
       "hC4JjhDCDOHFcCapBkCsKCJOdwy+3xlnSCKQ7Jcbtg8CnKWPbkeAiWyFdTuxvjlC8sQTT7REBt1s\n",
       "WlCNMiL7ZP/ZDCE6py2IGRsiN7n95j1CBL311lvbLMxBuGDyhEjSTyQKSFzo+9FHH21uuukms/HG\n",
       "G9fSBeaXu7mtpZEOlTLHNBRlB5Ai3VYO2AN49GJMYJc78ShWKkudOmDpGLoadGEup8U9FqbQOmAW\n",
       "YQkViK81XDgGSBi1EUQEooIrTtLAgzJlRJlN0gGzUGbNMZeQyfOTTyQGcnye6GRxP4IgpolWs3TA\n",
       "Ul/eT/S5cB+0lySmwgFzHw8CvAUkca/Ms5N6fD+ZK2zkkphwwETWxse37qx8qgPOQqba692qA1YO\n",
       "uNp50FW1IYa+++67U2NDxxwIvtVuBDCCR5CIPCZEWvrHgu+6VMn1bvxMiqDdMTDO5MEfiFLBA+kB\n",
       "3KUkOC443ywCLPmq+uS5EEcZSQRE1U1CgNlQbbDBBu4t2/eQBJjGwQzOW5Mi0AQElAP2eAoxIqzU\n",
       "rQNm2Fhuw9nDbbsphg4Y3Vw79yP6h37xK1/5ittVu+CXEUE3WQfsDjSNA8boCqtx3MiEA5Yy/Ibr\n",
       "5BknU5U6YOoWApzGAaPrRXWAnhpi7EZhKyu9SI6r0282cvhChyTAqgPu9FSqud+tOmAlwB7PX0JR\n",
       "emStLAsTKivOdFWNYAyDdWoyYRxTpwFYsj1+s3jDnbRLiKLXXnvtAVnKLuIQI/FjHVBxoB9uKEpE\n",
       "0Fmi0DQCjPEZ6oNp06YNOkIPMTMEOCluZVhJTrrsUCHAtMXGLUnciBhHeEs2sQR7cYm/cMdl2/cp\n",
       "TyAT8EXKkLYp8amjSB7eo6RBYZF6ypTRUJRl0Ku3rBLgevHV2mtGII0w1dxkbdWzEcijA8b9asUV\n",
       "V7SuWxBBN7UjwG6+Kr6jA8YfO0l8qRudK5btbCiTmwvytxNBY/iIPUDZhPEVkevQQdNXTYpAUxBQ\n",
       "AtyUJ6H9KIQAi3hod5ZCHfUo1MkI6ze/+c0A63TCcuJOc8IJJwyKbAUBhvtK44A9upIrC0SNA0qS\n",
       "BFYqgQCnhTqFA84iwBBs/IbTTl1CWpJHKkVoT9wCsdDGP3+PPfaQrumnIhAVgcYRYKLplNHp1YFm\n",
       "0vWljjaSdWJIE9oSWfoQIxQlhML175W++Hx24qTa1YGxUhbhaFeuqntYYUtqZ4SFOxY6cAjIpZde\n",
       "akW6WIVnRR0iwhZEJy3kpNumtF3mEzc2VAE//vGPU6v5xje+YeOng7PrFiXqg3vuuce6A7mFb7vt\n",
       "NhuWFOMu14UGjHbdddfMttw6+A6x/vWvf20OOOAAK3rGij5pSZ8sU+VvNhk8u5iJdaRMVL68fQ+J\n",
       "r/QNO5akFEjuNfmzEQSY3S4HHGA4ApCIFdkx4/5z0UUXRccva5Grs2Mh3JCy+h/bDSmrX1nXs8TQ\n",
       "6CU76d+a5IbUjgAzdkI+/uIXv7B6VOJ58ztpQCcY8QwfffRR+Tngs2o3JDZPHHWYdfgIC+M666xj\n",
       "Q366xB/uHVcz/i6//PIB+mF049zn2bpGkEgB1ltvPcvdJ33VCWF6xBFHDBgrRldbbLGFDfwBwae+\n",
       "kEndkMKgzebOJ1BSmN74t9IIArz//vvblxCHeKxhCYzAS0eEGl4gYuNqUgSyEMDIJynKhPOB8yLa\n",
       "UVYaNWqUPfgg636o6+h+0ZWyWejEjUM88aU988wzG+U+Rv/zJkTXRMwiFjlEHE5VkhzniaucGKqh\n",
       "y2WNwPIbDp8DKtz0xz/+0fqNy1zAOA0pAbGwNSkCTUSgEQSYg7s5dBxRFjt3XmbEiviCYjzB7jpm\n",
       "cnfgofoRwg0payxNdUPK6i8EDA5KEtbUnLTDKUAEGklL6BCZZ2IZm5YnxDWsgolLzAEZuGFlGWEl\n",
       "+5J0O0reb/fbtURul6/qe3D4rhsS9aMfhkiCAQT0wgsvtM1CgDl0AwJMyFQSomoIL9eQjkFgJTEH\n",
       "sApn0wWRJvHst9pqq35MJRSllAnxqW5IIVA21sgPiVe3pUYQYF6mrHNFCQ4f23KRRTp0Qu+FaD5G\n",
       "ihGKEt0/HE6RxByBqGC0w0EAHBAAJ8nZuhC05CEFtMGmj6MNIdaxQ1Fi7QuxgQP2JcBFcJIyTZpX\n",
       "uCnB/SIehqvnhKLx48dbFRTXIbjiNkWMa05bIq266qo27KaMCTcjiDkhJR988EF7mU0W5SUxv5hn\n",
       "IRMb6aLzuqp+sn65evSq6s2qp9fWyywcfK43ggCPGzfO8Ddy5EjLtRBYfvvttzcrrbSS4aXjhfRJ\n",
       "7DbZLaf9sdCyS3YnIpyez2/RAfvml76WyS+6cJ/+VdEedUh/RQcsv6uuP60+dHOMuch4IVrYCmDs\n",
       "go7wtNNOs+4rLLYc6Yd9AYu4Ox42fEhccJ+R4wjd+y4eaf2t6j4LNJsHCAUGU64Iuq7+iA64rvqz\n",
       "8OK6e0gJ7X/rW98yF198sS2CoRCbKHTX66+/vn1erAHEK2cTxdyQCGmcNQw3LeJmyqBSYDOPe9aH\n",
       "H35o/1wCzPzCKEpSiPHDPPA+kUK0l/b+IC3BqDNU+zHWS94bnm3a+H2ft+QL+dkIAsyB4+xgJ0yY\n",
       "YI8xQ8TETpaFFLGUa7jRDhzEWJzJm/ZHPez83QfEC6y/+/oh7WY8WFw5MYnFXMIyMh4Cd3BQwdVX\n",
       "X20XbJ43oSsh1hAD8kiKMX4MqdhssgFhnrsWszH6E/p9YLxiNct4eY7XXHONtfbmN8+IDdZll11m\n",
       "n6PomiEoHF05ZcoU+/gg0hiBQcTxjYaTZqPhrh29gGfo5zeU2pN1IOhnC8DoqcWd9LVcLPpals99\n",
       "LcLb19rt9veppdvra+2S+38X/dI6BLyvZcxVqHgrlF6hcmUKtTYLfS3jojJVFC7b4h76WkZMhcsX\n",
       "KdiSUPS1DPCKFO1YpiUZ6WsdE9n38MMP97U2aX0tiUpfi2Pua3FKfWPHju1rSUYG1NESGfa1JDJ9\n",
       "LR/UAdfz/mj54fa1LHz77r777r4WhzaoeIt762uJyftaXHDflVdead+Blvh0UL6qL7S4/qqr9KoP\n",
       "nFtuRV553UwtP+e+NdZYY9D8aEkx+lpHMPYxntYJS/1FeNe53pJ+9F/jC/OLeRYy8R61OM+QTQ5q\n",
       "i3WEORYqxVgvW2LvPt63Iok1oHWKWJGipcs0ggNG7MQumF0rIqZ1113XEGSgKSmP039VfYZbrzsU\n",
       "ZVZf0UUSxCFkwmoZNUEdCf3iUUcdZf1nOV0Jbumb3/xm/+EOqCbchGUuesSDDjrIxll27/l+xyd2\n",
       "zz33tAe+33XXXVYfLbpJqYN+IEqFa0N8lscIS+oo8ik61SJly5QB5yIGYJyxfcghhwwKIQnHyzoB\n",
       "jqivJKEnZi1Juhwhrg4dY4D3qJMrnPS7rk8NRVkXsuXrbcRpSDfffLMVQSOOQheMMQXipfvuu6/8\n",
       "CLUGRaCFAL6j/CUTemL0sG7CaIZrhx12mPUhxcJadI9uvqzvGHVhgcu8lgAIEFqMrdx6IMhyFCTE\n",
       "IpQRVla/m3qdIxb5Syb8Ptm0gCNEWhLi6ZZEwcZ9lmv6qQg0EYFGcMAQXHasktCJ4Ru86aabDtDR\n",
       "yX39VASqQgADrCRXBJdGAAUWdXxTWczzJLgeOFohvpTlKD44NbEQhcjzW7g08kOAXSOsPG32al6s\n",
       "x5FqJE/JwvCpGyMj9epz7NVxN4IAE9UHa0iMsCS15PJm2223tWJAuRbrU0NR1o88LidiLVp/a5+2\n",
       "gG8q1qGSbrzxRutPKsY7Ld2jjTtMsA/fhGW1GBZJGSK74XIjZxfLEYLizwshJuyia4QlZav+lLFV\n",
       "XW+n+thcuKEoO+X3uQ8XDKFl/nRKnIIU8iQk+sPGKsQzbTd2DUXZDp249xohgsZ6FSd63AfcdMwx\n",
       "x1ixIfdiJjGrD9kHrEGHDRsWssn+tiCEoYmhcIL9nQj0hcWJgA5Y4p933nk2IATiYtl0wcXCveI3\n",
       "TCxmn0TgFinv5l922WXNM888Y9tCRI3bjLjJEHiGKHA897qTuCHV3U6yfqQN4vKVvFf0Nz7fBNvw\n",
       "SdgChE7Mr9hJNnmh+hFjvWRzp6EoSzxhOATcB5IJf0A9vSSJiv6uCgGMd1rW0ZbAEmkJvS+2By4H\n",
       "iz0CBNgnwV1iGOSWl3JCgPkNAXb1wVwjIhQckyZ/BNikcsqRJkWgGxFohAi66cBpKMr6nxDcHwY1\n",
       "oRPcARKW008/3R7rh1EUYRDd6GvLLLOMjVks4uOsPqJLRswMR92OA8YqFV0w+kvXKhiiLX6uWW1U\n",
       "cd1ts4r6fOtIC0XpW7aKfBqKsgoUO9cRY73Ea0RDUXZ+Nl2ZQwxnQna+5WCmoSgDAM6LS8xoXOEQ\n",
       "zRKNimhaSaMeuGCOyGvnwsPhAETX4gCINJG6cLdE4UL8TIoxtxhzjBQjxKk7TgzfNBSli0g932PM\n",
       "6ZjrZRkUlQP2QC+GTiO2Dji07gqCFUNHhwhzl112sdyoTAWIqBBLuYZFNIfOr7XWWpnH/BEukRjF\n",
       "LAbolJOJZ4rBIQQa4y6S6ICTeev8HVMHHMsADDyZX2kbozqx5j0KbU+RHI+Eokxer+t3jPWyW3XA\n",
       "jTDCqmsiaL2KQFUIIJIeM2aMPSQAa32OykwSaThg1x81rW1CrEKcfax208rrNUVAERg6CCgH7PEs\n",
       "Y+g0CAQROhqVQIFbTtI3Vu7V9RlLB0x8YHSTPonTk/hDz5uM1AbXCwFGX9wp4YpDsAhSDH1sjDYZ\n",
       "q+qAQSF8Yh0JKXqPsV6qDjj8vArWooairB/qOkNRtus9xCgZijIrP5b6JER6GFK5idN4EDe6p/24\n",
       "97O+y2HzWffruN5Oj11He1Jn0VCUUr7sp4aiLIugX3lOowud0DvHIPxlx6kccFkEtXzPIYDeuBVw\n",
       "fsC4b7jhBnuC14CL+kMRUAQUgTYIKAFuA47eUgTSEIAAuxww4So5BhFLaU2KgCKgCPgioEZYHkil\n",
       "+XR6FCuVBR1haEtk6XDV0Yqk3nafGCVxClHohD42b/xlCLCcVHXGGWfYg0RaRxcWivIUwyo4Rps8\n",
       "1zpCUeaZL4ShxBUqZMJQT0NR1o84HgbdGPtbCbDH3IhhVh/bDSm060Ro9xB57EWIEWUw3iJ0JUE7\n",
       "TjvtNGsdLXXm+ew1N6QYmzt5HjHc3GJtomXMfGooSheNZn1XAtys56G96QIEiFY1fPhwG/HqpJNO\n",
       "6rdo7oKuaxcVAUWgQQiEl/k1aPC+XYlhXaduSL5Pp1y+PG5IbktHH3205XzFnci9l+d7DJegGG2C\n",
       "iboh5ZkZ1eVVN6TqsKy6JuWAPRDttdBqMUIG4qcYQwfMRqeIXrAqsV6MudXLoSiLPGuPJSIzC/Or\n",
       "7CYts3LPG8wx/NRDpRhzultDUSoB9piVqgP2AKlklm7SAZcc6oDiqgMeAEetP1QHXCu8/7+98wyW\n",
       "olri+HmFHywtxBIxS2EAMYMRBQED5pwzxjKVARQFxYRZzDmVCTNiFnPOCohixPRELaW0ikIRP1nz\n",
       "+te+HufO3Zm93A1390531e7OzpkT+n96Tp/YHSfeEe1ls5qi9CnoWGz8whFwBBwBR8ARqB8CroDb\n",
       "gLWvAbcBpAofaQZTlBWyWDJ6R6zHdkSeMO9rwCVFoOY3fQ245hC3OwNXwG2Azk1RtgGkCh9pBlOU\n",
       "FbJYMrqboiwJS01uuinKmsDaKlE3RdkKkswbroAzofEAR8ARcAQcAUegdgi4Aq4dtp6yI+AIOAKO\n",
       "gCOQiYDvgs6E5t8AN0X5Lxa1umomU5TVxKA9lrgqzb8j8qTMboqy0pprX3yscS20UP2a+mWXXbZ9\n",
       "Ba0glpuirAC8Ro/aEdvq3RRlfaSio5SRcefHkAyJ2v/6MaTaY0wOHehfXpIAABxwSURBVNFe+jGk\n",
       "+tSt5+IIOAKOgCPgCHQKBHwNuA3V6MeQ2gBShY/4MaQKAVyA6H4MaQHAqvDROXPmhL/++qvCVCqL\n",
       "7seQKsOvlrH/Iya86mejrJaclEl7+vTpYYcddgj9+/cv82Tr4BdffDE2J4chfqgUbG0JKxU3Kx4m\n",
       "3RZeeOGq5md55ZXj77//DnySJvTaEi+dZjJOOoz/yXBM9vG/S5cuBLUIS2OdjFdpGGYZ4dPMYKbT\n",
       "S5alvWGkkY5rPHA2lumzJFlYOg7PVCMMubI8LT3SrlV+pA2RPvVseafzyytLNcIwd0qeth5ajTTL\n",
       "8QC/yDTyVWl+6bzA1NLMC6u1jFEG8rey0OGwdosyQhaWV862hqXzS8YbMmTIPxkuwPe3334bXnjh\n",
       "hbD88ssvQKzqPFoYBVwJXP369VPD+6QxePBgTer1119vlWRbwohkcU1oiYeN2rfeekvTRMD+/PPP\n",
       "MG7cOL2Hkvjggw9UiC0OL/XGG2+svWs6F5AJOQpl/fXX13t//PFH+Oyzz+Jw1pbhhzORM2fOjO9z\n",
       "gd/StdZaKzz11FPh0UcfDcccc0z8Yi266KJh9dVXD7Nnz27hjJ482UDVu3fv8NNPPwUbXVFOzEuu\n",
       "vPLKmsesWbPCr7/+qtf21aNHj9CzZ8/AC3DrrbeGbt26hWHDhmkwa7O8EF999VVgdJx8ybDDvPTS\n",
       "S4fPP/9ccbL0eIb88PE7Y8YMNfxgePHbp0+fwDogeIEp9y6++OKw3377he233z7ggnHq1KmqJEiT\n",
       "cAi8wOa9997TjonelC/CN9poI1Xgb7/9dmxT2uINHDgwVuxW5xbXZCUpW+mwdBzCLV4lYSeccEIr\n",
       "eabMpGkyxC+fQYMGBRTXu+++q8Wz+yiUAQMGKMbTpk2L4/EQCm7DDTfUuqEeIOJxnn7SpElh4sSJ\n",
       "Ye7cueHLL7+Mw8ifRnudddZRV4/IRJKQvzXWWCMwmkOWINIkHvJH3f7888+B2SruWRj+eFdZZRV9\n",
       "/tprr1X53W233fQ//mNZg+fcKk45koR84fcZd5O8K5Yez3Af+aT8vF9JIj3k+tNPPw3z588P119/\n",
       "vdbZ2muvreXgnfj4448Vt2S8vn37Kh9gidKGByMwwY3j+++/H8ufhfOe06F55513VP7sPnE32WQT\n",
       "Vf4bbLBBGD9+fNy5JawackQ6EGkhO5ZmpTJtPCBjm222mfLM+0UdcA/ZmjJlivJnbSN1dOWVVwYG\n",
       "S81EPgXdTLXlZXUEHAFHwBHoNAi4Au40VemMOAKOgCPgCDQTAq6Am6m2vKyOgCPgCDgCnQYBV8Cd\n",
       "piqdEUfAEXAEHIFmQsAVcDPVlpfVEXAEHAFHoNMg4Aq401SlM+IIOAKOgCPQTAj4MaQ21BZHIsy+\n",
       "KcdRoFKH69sSViquxeO8nm3B55djOxxr4JqwJLEln2MbhHGu0+LxDFv17awlx5sIN7Iw7rOFH7K4\n",
       "HG3imBJHoDgmwhEOIwvjfDDxkscyOHbC0SeOq3CEwsju89/CiGdEOB/i4I6QPDhuApGehREXsriE\n",
       "8SzlgA8rP89QfgujrJDFIwz+DS/i/fbbb3r8iSNIFkaayXhgSRpWB8n8qAMLS97nXvIsZFperM6T\n",
       "sqWZypeFpeMQXo0wjuuk5Zm0LT/Di3smY8Y79yDjD56TYdznA2Zp2aOeObbD8bJ0GHHAnzoyGfsn\n",
       "p3++0/KXDDM5MxkrFcY9jqogM127dtVHkjJmskIAPCXDTP40knwlZcxkxeIlw0gTuUamwcPCTP4s\n",
       "PX4JS8ufhROXsCTOyTCwIywpf4SbbP5XjllxrCpJ1ZAjS4+0kB1Ls5YybbIFhknZpB44SsaxxmYi\n",
       "V8DNVFteVkfAEXAEHIFOg4BPQXeaqnRGHAFHwBFwBJoJAVfAzVRbXlZHwBFwBByBToOAK+BOU5XO\n",
       "iCPgCDgCjkAzIeAKuJlqy8vqCDgCjoAj0GkQcAXcaarSGXEEHAFHwBFoJgRcATdTbXlZHQFHwBFw\n",
       "BDoNAq6AO01VOiOOgCPgCDgCzYSAK+Bmqi0va0MigKGGtBGEhixoBYVqFB4xEGMGQypgx6M6Aq0Q\n",
       "SBoRahVYoxuFUsBbbbVVuOWWW6oG5auvvqoOy1daaaWAk+85c+Zo2lTkqFGjAo6w+YwZMya2OlW1\n",
       "zDMS2nTTTdVqDo7Jk/T888+rhSIchFdC8Lj33nuH3r17B5yM4yjb6IEHHlA8cJyOk3say1rQTz/9\n",
       "pLzgrDtNRx55pIbhuL0alFXHlvYPP/yg1srSDuQtvB6/bZHrt956S53dlypPM/D40ksvqcytvvrq\n",
       "YcUVV9T36qOPPirFTrvvXXTRRYoR7zPXRp999pnK87rrrhu23HLL8OCDD1pQTX+HDh0ahg0b1iIP\n",
       "rD1hDSppuavFAwv4J6vuSX/EiBGhf//+gfcZZ/e1ICyFwc9iiy2mn27duoX1118/PPTQQ1XLri28\n",
       "3H///WGTTTapWp5tTkh67oUheXmim2++uSr8ipnISMz5RdIIRGLeLhJhjQ499FBN+9Zbb41EIet9\n",
       "wnbeeeeIe/UgEaJITP1F1113XYvsjjjiiKhHjx6t7rd4qA1/9tprr+i8886LxPRb9Morr0Ri4i6a\n",
       "P39+9M0330TLLLNMJIpPUyG/kSNHtiHFBX/kxx9/jMQ0n/IpZhXjBKTjE/Xt2zcS4Y9mz54d32/v\n",
       "RV4dk+Ztt90WrbLKKpGYLYy+/vrr9mZTcby2yPWbb74ZSYepVV7NwKOYHYzELGokSljLLw1qdNVV\n",
       "V0WiKFvx094b0uBHAwcOjMRcZYRMibKNJk+erMmJEozuuusuvZbOX7TUUktFv/zyS3uzanO8IUOG\n",
       "RGJuMbr99tvjOGI6VeVbZiTie+29yKv7q6++Otp9990jsJ43b1603HLLRe+88057s8qMJx0K5Qfc\n",
       "Id7hF198UduSxx57LDPeggTk8SIdgOi4447TtnG99dZbkGSr8myhRsDJXgm92s0331ztAGNv2Xp4\n",
       "M2bMCMOHDw8nnnhi6N69e+jXr1/4+OOPk1H1esqUKYHe+DrrrKN2Y48//vjwyCOPaBg95fHjx+t9\n",
       "bMrSg2QEUi/addddw6RJk+LsmD6UBjgwOjbK4p9RxSGHHBK23377IMpM7UJbHH6fffbZcOyxx2qv\n",
       "lR76CiusoGkzavjkk0+CKHl9nDzpedaK6DXvtNNO4dFHH42zePnll0N6VCwNp9YTtp7lBQsffPCB\n",
       "2oKmZy+KPI47evTocN9998X/ucirY2wK00uXRjosvvjiLeJ15J/BgweH7777Li7CoEGDwvfffx//\n",
       "T180A4/Y+ZVOntpLpvzYRZZGM0inVm2Mc++1114LvHfUhSgOtfHNfd7Dc889V0dV2Ak+88wzud2K\n",
       "kOsDDzxQ2wPpSOqIF9kib+SdGR1IFJHakp42bVqrNGpx49RTT9UZNOlQlkwevuF3iSWWCLz30jEI\n",
       "ojAVC2xfG8GDtU92L6/ujzrqqHDnnXcq1uCNvNfyfbYyYdebWQbaU+oOEk0Xzj//fG1rsCN+wQUX\n",
       "xEs+zLLJoCBIpyjsuOOOYfr06ZZU/JvHCzMriyyySKCd6AgqrALmZUPJMFWL8mXKmOkQjJrfc889\n",
       "KtAoFKYlTj/99FZ1M2vWrNigPYEYO0cYMBK+4YYbBhkZaRwcG9CwIxz1Iuk5h08//VSdOZAnQkZD\n",
       "jHAbZfHP+hr8b7TRRuGyyy6LnSMQj+ln+ONlN6KxYroXhUiH5YsvvtAX4r333gsnn3yyPVaTX6b9\n",
       "kx0NFCKNkdFXX32lDTX4M1XMcsDYsWPVMP7KK68cN0h0FmSUEVBeScqrY4znP/fcc6FPnz7JKB1+\n",
       "LSPxFssd6f/pAjYDjxjdp97oMG+zzTbhmmuuCSxD0FAj0zKS084Y7/Dnn3+uStSmkAlDjmm0eQ9k\n",
       "VKXyXQ4H5Bqlh/JBsdGRhkiD96Be05VrrrmmdohRSGmioyWza/phkIAzBAYPdDbpKDz55JMahc7L\n",
       "vffeu0DyjQMInFawrESndocddqgbzxSazvLMmTO1/BMmTNA6gx/qj+ni999/X8PgF77hf7vtttP3\n",
       "XQMSX3m87LnnnuHSSy+NHUkkotXlsrAKmLVgmSLVxrhXr15aAbysEOsRZ599tirYfffdN+BNJE2s\n",
       "xZjnHsLMEwjCbkSvkfgo5D322MNu1/yXRonOxeOPP655TZw4sVX+efzT4J1zzjmtOg1pnkkcvulx\n",
       "G6HAUUp0ZFBQtSQaZEbslAslymiAe0Z0iugIMNqlIWUmAk9AEPViypt1sNVWW0172BaX3zS/peo4\n",
       "+XwzXjcLjyhgZpGYlaHDTAfKZq0Y2aGoUEa8k2eccYbOTFh90CHddtttdQ2ZkWx6JMhzaRwYFdF5\n",
       "ThIK4aCDDgqyvFPXWY+zzjpLFY69z1YmlNFaa62lCpqZKFkaCuz1oEMMnybfzNLQYVhyySUtqv6m\n",
       "eS4l33SseW8YLdO5qRfhrYuODqNfRqeyvKeDGt7Tww47TDsXtK9PP/20DpDoMDHKB6uskXpH8ZKH\n",
       "WWEVMMqWnh1TF6eccopWGtNNEPeMeKFp3NOEMP/+++/xbdysobjMhR/CwWgMYUhPbcaRanhho0PK\n",
       "Lmu1YYsttmiRWx7/vMylKM0zz4ABvW0jlB2jDaYH2XzGC1QrYlTCiIiGiZGJrOHF05TkSQ+eDTO8\n",
       "tDTcNEhWx8xIoLwZ5dBB2WeffVoVM81vuo5bRWjCG83AI+8QnTxmZWQ9T6fYUT7IF0qRpQSWjqhn\n",
       "PrzXTL8ySoaSo1U2+JTaMJfGIS3XzOwMHTpUG3ibjq5XddMZuPbaa1XBJDc2srQwYMCAuBirrrqq\n",
       "zkIxq8eonQ4puD388MPa4Ywf/P9FmudS8s17cffdd+u7RcejXsTMDNPNKE3qkeloq1+uP/zwQ5UD\n",
       "Og282xDP0h7gurIUdRQvpcpi9zq1AualYVesEaNTFCRTzYxImSJFWGm8URSmLKjIcoSSSo6MuWZ3\n",
       "JoTSY4RFw0Fvm+nKetPWW2+to78nnnhC136TZSjHf5YAs76GwCfXTuGbtbWpU6cG2eAWs0mvGV+7\n",
       "yXWoOLCKF3RyaIzBOTn9TBY0HDQ+KF5GvkxRWh3DB0oYfJ566imdNk8XK6+O08/W83+WXFMG6o5l\n",
       "Agj5o67zqFF5TJaZDlZyZoMw1v/Zhf/ll1+qYmZ/A3VsH+TROoZMwxuxrNRLZrzSBA7JtfLk+4zC\n",
       "Zqc5I+ujjz46HbUu/+GXmTTWhI1QoOzlMIJ36pv9GMzi0em2zikd8jTl1T1LMsweGTHDwJJOvYjp\n",
       "Zus4wTdLCla3lINBDW05nQbuG1Fu7iWpo3lJliV93akVMIqB9QJeQNYAEVamR23KlJeKUSvPMGW6\n",
       "IOfAEG5eTJQ3Dd7ll18eT/PSU5RdwbquiNLnpbA80xVQq//wRRl5YdPT31aW9vDPESTWTOhkoNhs\n",
       "apfG7rTTTlPlzCgTDNigZjMCteKTqUWOQjHKp9ORJHDnuBTTdCheNpUk65hO0hVXXKE96LTDctLJ\n",
       "q+NkPvW+zpJrygEf7777rhaJzkeS31LlbFQek2VlrZeRLlOsjADpWLBBio4Iihc5RlkwKoLYw4Bc\n",
       "2GyH7KrVjjZx6ailj/YQB7lGPuiQo3xZ+zSlxbTzAQccoNO6yBQfZrjqTax9s1nMiNHeG2+8ofs9\n",
       "4JVZJxQlR3kg5JspWfZ/2D2Ly29e3cMfcXnP6UTTmWUGoFbEdDO4Us/wSR3aHpJddtkl3HHHHfGU\n",
       "NPtXWH5gppI2hjVi3m+w4H1mDTxJ9eYlmXfZayl4pyYRokh6ipEsxEeykSHmVXqykex+jth6LhUa\n",
       "yVROxFEEWdyPZKojfk52zbb4HwfIBc9LZetxGOmhR9Lz0mDSFeBbfGRNNhm1ZtfSa4ykkdH0ZeNF\n",
       "JFPoekyIG6KI42NIWfxz1EBGr5nlk40fkSg0PZbAERxRfPGzbPcXhacfjivJaCMOq+YFx5BkpBcn\n",
       "KS9oJNNL+l8aIsWdY0gcFaF+5SWNZMd6JFPjWl+ytqfPSsdJj7fkHU3LquM4c7ngeJd08pK3an6d\n",
       "JdeidLXOZZSn9U1dSaMWZR1DoqCNymMSRNl1HIlyiWR/g77LvGPS+Y0fkQ6f8i0dbD1CJOvFGiaz\n",
       "HhHvhDTWerRFNu3oEbo44v8vkBuOEcosjz4ne0A0hPYg/S7zX5R1Oomq/+cYkiyhtEhXOr9aHlGM\n",
       "ev+SSy6JZIo6ktk3fS9ldBg/L51/lXfpTMT30hdZdc87sv/++0cyra0f6chHsr8jHb3i/7IO3QJf\n",
       "2lNZaohkVipOm7JIZyiSUb0e+5OZq7hNo33mOBryzjE72XcSx7OLtvBCO0ZbUW/6DxmW1dJN/gAj\n",
       "VHpyyU1TsCQVo+sGrLG0l0iXKY9aj/TaW768eJXwzxqyHTlK5oE4gQdTYI1CbDahfhitJ4kNY4yQ\n",
       "WT/Mq79GreMsuWbUyyxHHk9JHLhuVB7T5aTOkFumX9PEyJjRGrvxjZgBYhcsx4/Ai30BecTaL8/z\n",
       "aRai7hjdJ/lekLLn1T1Yg0XyBMWCpF3NZykLlG7HucdyVymZIMyokXixMhVCARuz/usIGAJMcTF1\n",
       "xVq17aa1MP/tPAiYAmb62skRaDQE/j0Y2mgl8/I4AjVEgPUj1vgOP/zwGubiSXc0AhhpyNpU2NFl\n",
       "8/wdAR8Buww4Ao6AI+AIOAIdgEDLRbEOKIBn6Qg4Ao6AI+AIFBGBQipgjh2xBR/bsWxpT1p4yfKI\n",
       "wjb5LC9AzzzzjB6FwAiFOCGITUA2ikCxKYczsKW8M+XxleUpBb6wr8v5PAwBYOqvUYijZhhKoG45\n",
       "vpL0XJPHT1a9c+aZYyjYBMfUHcYNGo2KJs+Gf5Hk2njmtwj1XZi6rfe2647OTw5tqwcf82Yih7Qj\n",
       "OT+qxWJLfpZHlCwvQGz1x/uQKHFNg+36tfIC1F7s8MTENn45D6efpHemLL5kl3Omtye2+ovy1bTk\n",
       "/LR6IKqFp5T28JvluSaPn7x6x6vThRdeqEXhyIOYQFSPLe0pWy3iFFGeDcciybXxXJT6LkrdFm4E\n",
       "zIF1aXDVYAG9SUZK5tM2yyMKz2V5ASI9tsCbHVWOOXCYv5EIHjHfhunGtHemLL7yPKXAL0d6SIsj\n",
       "CljZagSeqYsszzV5/OTVO8etzIoYdYu3GY67NAoVUZ4N+6LItfHLb1Hquyh1W7hd0FhsMhN1CDRO\n",
       "CfD0AWF/FIPuRhj4RjkzTcsZwlJegDiThp1WDL5jZ5Yp0KSLPEurI3+ZKjbiLBxm3LAYk8cXz2EQ\n",
       "3Sjp7cncHWJzF2WELVbD0J7viF86BZTNCCtl8IhJOzpdWfxk1Tvp4AYNjykywleD+DfccENDnREt\n",
       "ojxb/RZFro1ffotS30Wp28KNgJPCLA7V1auGrWGmvYOYR5T0fdJgxIuxA0xY4oEE+6sYC2ftwkzi\n",
       "JfNqhGtMsmGeDuHGPGUeX+kwG+FjWhPTnpiM4wwthiy4xtRnIxFlSnquyeMnHWb1Dj944JHpP/Up\n",
       "jHF41pExXNCIVDR5tjooklwbz/wWob47e90WbgRsAozjAFwOYkMYo+QQllSSHo7MI0r6Ps9aGKMs\n",
       "nECboXI26qDcUHRtcepAWvUgBBlnBUxhmXemPL4YTeJj0wjrVubtacSIEWoMX9ZGNfiEE07QETWj\n",
       "w0YgbASzyQ5btua5Bl6z+EnjYHWLosWQA0qXDXZsPMPhhph1DEOHDm0EVuMyFE2ejfEiybXxzG8R\n",
       "6rsIdVvIETD+JfF3i5F2sREcy3WWR5Q8L0CM/JIuwXAkTQPOp1EIRUKHgOnipHemPL7yPKUwZZvk\n",
       "mRH1f8WAfSNQlueaPH6y6p3pazBjPQqiU8IyA47QG4mKJs+GfZHk2njmtwj1XZi6td11RfmVBlqN\n",
       "tsuoJpKpx/gD/3KcSA33i//JSBpZNULOzldInECrMweZYo4weC/rnroLWJxfqyF02YSkz8l6cISx\n",
       "8EYiMbWofFFG49kcR2Txxe5mDNhLJyXi+uCDD45Gjx6tbMm6eSTromrUnl3g4pUlkkahIVgW7zgR\n",
       "O9GNT35l/V55yOInr97F005kxuyRHbGvHInXlobglUIUUZ4N/CLJtfFclPouSt2yvlUoOuWUU1p4\n",
       "35AOpf6XTUeqUEp5RAEgFHKWF6Abb7wxkjO2qpRlM1KE55ZGIjzHGJ/2a96Z8vjieE4pb08yuo/w\n",
       "poSXIbwfyc7jCPw6msp5rsniR6blS3rCgR/SBCt45SPrbh3NZov8iyjPBkBR5Nr45bco9V2UunVT\n",
       "lKKR0sT0cZZHlCwvQKRBvEbyApTmK+9/Fl9MBWV5e2JnOOvcdkwnL/1GCcvjJ6/em7lu8/jKqnfq\n",
       "q5l5NnnL4i9PDppRro1fq7citF+doW5dAScl168dAUfAEXAEHIE6IVDITVh1wtazcQQcAUfAEXAE\n",
       "MhFwBZwJjQc4Ao6AI+AIOAK1Q8AVcO2w9ZQdAUfAEXAEHIFMBFwBZ0LjAY6AI+AIOAKOQO0QcAVc\n",
       "O2w9ZUegbgjcdNNNYaGFFtJd+OzEx7oXls+SrjbzCoNVOCwPOTkCjkD9EHAFXD+sPSdHoKYIYH6T\n",
       "o0N8vv/++4BVNkyjirGY3Hyx9jVu3Dg1U5r7oAc6Ao5AVRFwBVxVOD0xR6AxEMBL19ixY4NY7lIH\n",
       "7pQKT12bb7556NatWxBDB0GsDWlhMVMKYXITV5Ocr2T0jKlS7r3++usa7l+OgCNQXQRcAVcXT0/N\n",
       "EWgoBHAigWco6MADDwxi1Ut9N6N8R40aFcSsZhDn5xr+2muvhe7duwcxT6pKGqcWJ510UhDrcBru\n",
       "X46AI1BdBFwBVxdPT80RaCgE8IGMkoXwfT1y5Ei18tarVy91qclot2vXrhrOiBcHFJMnT1YvULhl\n",
       "xLMXPmiTnqT0Yf9yBByBihEorDvCipHzBByBJkAAb114e4JQtptttllgZNuvXz/19IR7yiT9+OOP\n",
       "al6U9eQkvf3220FsYSdv+bUj4AhUiIAr4AoB9OiOQKMi8Ndff6nLzeuvv15HwYxmJ0yYEMRhiI6C\n",
       "GeGKff8WxRcvXzr9PGPGDN1JTSCKm3VjJ0fAEaguAj4FXV08PTVHoMMQEFeZqmhRmOKRKwwfPlw3\n",
       "Uu28885h3rx5Wi5xrxgWXnhh3ZglbiYDcbp06aIKee7cuepYY8sttwwobUbHv/zyS1hjjTV01Nxh\n",
       "jHnGjkAnRcBHwJ20Yp2t4iEgPq51ExUeqjgHPGTIkPDss8+qgu3Zs6cqZHY1s9EKpTpgwADdoMU9\n",
       "dkczVT19+vQwZsyYsM8++4Tbb79d44oLPJ9+Lp44Ocd1QMC9IdUBZM/CEWgUBMRvs67xMv2cJsI4\n",
       "vmTESBpFjkJ3cgQcgeoj4Aq4+ph6io6AI+AIOAKOQFkEfA24LET+gCPgCDgCjoAjUH0EXAFXH1NP\n",
       "0RFwBBwBR8ARKIuAK+CyEPkDjoAj4Ag4Ao5A9RFwBVx9TD1FR8ARcAQcAUegLAKugMtC5A84Ao6A\n",
       "I+AIOALVR8AVcPUx9RQdAUfAEXAEHIGyCLgCLguRP+AIOAKOgCPgCFQfAVfA1cfUU3QEHAFHwBFw\n",
       "BMoi4Aq4LET+gCPgCDgCjoAjUH0EXAFXH1NP0RFwBBwBR8ARKIuAK+CyEPkDjoAj4Ag4Ao5A9RFw\n",
       "BVx9TD1FR8ARcAQcAUegLAKugMtC5A84Ao6AI+AIOALVR8AVcPUx9RQdAUfAEXAEHIGyCLgCLguR\n",
       "P+AIOAKOgCPgCFQfAVfA1cfUU3QEHAFHwBFwBMoi8D9x9gZVGZpJjQAAAABJRU5ErkJggg==\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%%R\n",
    "getSymbols(\"^VIX\", src = \"yahoo\", from = \"2008-01-01\", to = \"2008-12-31\")\n",
    "plot(VIX$VIX.Adjusted, main = \"VIX\", ylab=\"Adjusted close\", xlab=\"Date\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "###Problem 4.e\n",
    "Plot SPX RV and superimpose DJI RV for 2008. Superimpose a plot of $\\text{VIX}^2$, adding a scale on the right hand axis (see how this is done in the lecture iPython notebook). Comment on the resulting plot."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### <font color='DarkBlue'>Answer:</font>\n",
    "<font color='darkblue'>\n",
    "Plot as below:\n",
    "</font>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 83,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAAeAAAAHgCAYAAAB91L6VAAAD8GlDQ1BJQ0MgUHJvZmlsZQAAOI2N\n",
       "Vd1v21QUP4lvXKQWP6Cxjg4Vi69VU1u5GxqtxgZJk6XpQhq5zdgqpMl1bhpT1za2021Vn/YCbwz4\n",
       "A4CyBx6QeEIaDMT2su0BtElTQRXVJKQ9dNpAaJP2gqpwrq9Tu13GuJGvfznndz7v0TVAx1ea45hJ\n",
       "GWDe8l01n5GPn5iWO1YhCc9BJ/RAp6Z7TrpcLgIuxoVH1sNfIcHeNwfa6/9zdVappwMknkJsVz19\n",
       "HvFpgJSpO64PIN5G+fAp30Hc8TziHS4miFhheJbjLMMzHB8POFPqKGKWi6TXtSriJcT9MzH5bAzz\n",
       "HIK1I08t6hq6zHpRdu2aYdJYuk9Q/881bzZa8Xrx6fLmJo/iu4/VXnfH1BB/rmu5ScQvI77m+Bkm\n",
       "fxXxvcZcJY14L0DymZp7pML5yTcW61PvIN6JuGr4halQvmjNlCa4bXJ5zj6qhpxrujeKPYMXEd+q\n",
       "00KR5yNAlWZzrF+Ie+uNsdC/MO4tTOZafhbroyXuR3Df08bLiHsQf+ja6gTPWVimZl7l/oUrjl8O\n",
       "cxDWLbNU5D6JRL2gxkDu16fGuC054OMhclsyXTOOFEL+kmMGs4i5kfNuQ62EnBuam8tzP+Q+tSqh\n",
       "z9SuqpZlvR1EfBiOJTSgYMMM7jpYsAEyqJCHDL4dcFFTAwNMlFDUUpQYiadhDmXteeWAw3HEmA2s\n",
       "15k1RmnP4RHuhBybdBOF7MfnICmSQ2SYjIBM3iRvkcMki9IRcnDTthyLz2Ld2fTzPjTQK+Mdg8y5\n",
       "nkZfFO+se9LQr3/09xZr+5GcaSufeAfAww60mAPx+q8u/bAr8rFCLrx7s+vqEkw8qb+p26n11Aru\n",
       "q6m1iJH6PbWGv1VIY25mkNE8PkaQhxfLIF7DZXx80HD/A3l2jLclYs061xNpWCfoB6WHJTjbH0mV\n",
       "35Q/lRXlC+W8cndbl9t2SfhU+Fb4UfhO+F74GWThknBZ+Em4InwjXIyd1ePnY/Psg3pb1TJNu15T\n",
       "MKWMtFt6ScpKL0ivSMXIn9QtDUlj0h7U7N48t3i8eC0GnMC91dX2sTivgloDTgUVeEGHLTizbf5D\n",
       "a9JLhkhh29QOs1luMcScmBXTIIt7xRFxSBxnuJWfuAd1I7jntkyd/pgKaIwVr3MgmDo2q8x6IdB5\n",
       "QH162mcX7ajtnHGN2bov71OU1+U0fqqoXLD0wX5ZM005UHmySz3qLtDqILDvIL+iH6jB9y2x83ok\n",
       "898GOPQX3lk3Itl0A+BrD6D7tUjWh3fis58BXDigN9yF8M5PJH4B8Gr79/F/XRm8m241mw/wvur4\n",
       "BGDj42bzn+Vmc+NL9L8GcMn8F1kAcXgSteGGAABAAElEQVR4AeydB7hkRZX465GjQxTJA0sSlRx0\n",
       "AB0QBBEQQUAkr8uSBRFhQYQVEXBXZRFkBRYliBIMIEEBUVQyoiAgwb/DDDBkhpyGmel//arndFdX\n",
       "37q3ql/q7nfO973X99Y9lU7VvafqpBqoWTAKSgGlgFJAKaAUUAqMKAXmGNHatDKlgFJAKaAUUAoo\n",
       "BRwFlAHrRFAKKAWUAkoBpcAoUEAZ8CgQXatUCigFlAJKAaWAMmCdA0oBpYBSQCmgFBgFCigDHgWi\n",
       "a5VKAaWAUkApoBRQBqxzQCmgFFAKKAWUAqNAgblGoU6tUinQlRR49tlnzV/+8hcz33zzmU033dTM\n",
       "Pffcrp1vvvmmufvuu931wMCAmWeeeczKK69s3vve97q0P/3pT2aOOeYwm2yySaNft912m5k5c6Yr\n",
       "hzxFEJa7yCKLmPHjx5v3vOc9ReiuDXPOOadZb731zKRJk8wTTzxhPvzhD5t55523EH8wibfeeqtZ\n",
       "fPHFzRprrNEoZtq0aeb+++83K664omunPKAdtOdDH/qQ+cc//uHos+6665pO6SLl6q9SoO8pgB+w\n",
       "glJgrFPgyiuvrM0///z4xLs/ywRr3//+9x1Z/v73vzfS5Tm4559/vnt+8MEHu+eXXnqpu7/qqqvc\n",
       "/f77719K1gcffLCt3IUXXrj2gx/8oDDfqquuWrOMzT076qijXN4pU6YU4g42kf7vueeeLcXYBUpt\n",
       "rrnmqm299dYt6TvvvLNL5/kKK6xQ22ijjdzzTunSUrjeKAX6mAKmj/umXVMKJFPA7t5qa621Vu2f\n",
       "//xnze7oahtssEFtqaWWqr311ls1YcCHHnpo7aGHHqr99re/rS2//PI1uwOu2V1u7dVXX3X373vf\n",
       "+2pTp06t2R1ibemll669/PLLpfULAz7ssMNqXP/ud7+rTZgwoWZ3ubW//vWvbXlzGLC0q62Q2Qm0\n",
       "uQjeeOMNl1zEgHnwyU9+0jHb559/3uG9/vrrbuFCOuAz4E7p4grSf0qBMUAB1QH3vYxDO5hCgX/5\n",
       "l38xdjdprr32WjNr1iz3e8sttxhEvgIikv34xz9uNttsM/Pcc8+ZF154wdhdq7G7VvPMM88Yy7hd\n",
       "OWeddZYZN26cZC39pdw111zTbL755uacc85xoutLLrmkNE/ZQ7vzNosuuqgTZa+00krmnnvucegf\n",
       "/OAHzfbbb28sk3fPEKMjMgbuvPNOV/9CCy1kPv3pT5sZM2a49PDfHnvs4Z79/Oc/d4+uu+46Yxcp\n",
       "xu6WQ9RB06WtQE1QCvQZBZQB99mAanc6o8AJJ5zgdJ5f/OIXnY5zu+22M48++mhDD0ypv//9782x\n",
       "xx7rmM1ll13mmKbogbfddltDnqefftpYEa3ZaaedOmrIaqutZtAZ2514R/kfeeQR1+7/+7//M3fc\n",
       "cYdrz4UXXujKevfdd80NN9xgjjnmGGPF5eaxxx4z8uz44493Cwf6uMoqqxj000Ww4447mgUXXNDl\n",
       "5/kVV1zh7mHaRTBUdCkqW9OUAr1OAWXAvT6C2v4hoQBGQ+wGr776avNv//ZvBka2ww47GCtybpR/\n",
       "7733Gnam9913n/nMZz5jfvWrXzWePfXUU87oiAR2nOyOOwGYpJW8Gatr7SS7WX311c3ZZ5/tmPBx\n",
       "xx3ndqssCgQwlIJZ0n7gxRdfNFZUbv7whz+YXXfd1XzsYx8z5IsZjsF8YcJ//OMf3SIBiQFlkV4E\n",
       "Q0WXorI1TSnQ6xRQBtzrI6jtHzQFXnrpJTNx4kRz2mmnuV3seeedZ370ox85UfDtt9/eKP9LX/qS\n",
       "efzxx50lMDs/xNYCBx54oHnllVfM0Ucf7cTS1gBJHmX9Wt2vw0ckzQ72c5/7nJk8ebJLg1liKV0G\n",
       "119/vVl77bXdwsEaapkllljCWWhLHkTTAJbcIl7HghuGC+MHuI4xYJ4jbkZM/4UvfMHtlBFLx2Co\n",
       "6BIrX9OVAr1Mgc6W2b3cY227UiCgAEwJxnbKKac4ZrXccsuZM88802Gtv/76AXb77U9/+lO3c95n\n",
       "n33Mt771LSf2vfjii83ll1/udpWIt5dZZhkDMyoCXJ8QGePmgw6Y9hxyyCHGGkQZRN3oYzfeeGP3\n",
       "3BqKFRXRSMNdCvenL3/5y8YaQbkd7jvvvNN4HjJWmC5uT1tssYUTK3/0ox81MHEYbAy23HJL54LF\n",
       "rtkaqpmtttqqELWKLoWZNFEpMJYoMAYMzbSLSoFKCmDdvPvuu9cs83PuPXbnWLNM0eUTK+gTTzyx\n",
       "rRwraq6Bi0W03aG659Ywq7bkkku6P55jGWzFvm15xQrafm9cnXYRULM78Zo1iGrgWnGwK8f6JNes\n",
       "8ZezuOZhzA3J7pZr1tjKlYdl94YbblizYmlXntUv1yyzbJSNtfUBBxzg7q3PrquHtlgRc83u7tvc\n",
       "kBoZ7YXVlbs6Dj/8cD+5YQWdQpeWjHqjFBiDFBigz2NpwaF9VQqUUYDdJiJpy0DL0LKeoSe1rkvm\n",
       "9NNPz8onyLTp7bffNlgopwK76cUWWywV3eGx60WMLmLqrMyKrBRQCmRTQBlwNsk0g1IgjwJYVmNl\n",
       "LBbTebkVWymgFOhXCigD7teR1X4pBZQCSgGlQFdTQK2gu3p4tHFKAaWAUkAp0K8UUAbcryOr/VIK\n",
       "KAWUAkqBrqaAMuCuHh5tnFJAKaAUUAr0KwXGhB+wDXJv7Gk3/TqG2i+lgFJAKdBXFCDaGr7p/Q5j\n",
       "wgiL80sJL5jrltHvgx/rH8EkOFTAHrkXQ9F0pYBSQCkwLBQgHOs111wTjUc+LJWOUqFjYgfMqTSE\n",
       "BuTUGYVqCnCY/H//93+76E3V2IqhFFAKKAWGjgIcRHLrrbcOXYFdXJLqgLt4cLq5af/v//2/5OZx\n",
       "sg4HGLCyTQGCTjz55JMpqA6H4BH2fNoW/LLThAjx6B9Q0JKx4MYeNO/COhY8akmyZ+O6IwkJgsFf\n",
       "KnBgAW1KBfA5+jDscyx/GS2K8sTwqZM++kCYS3t+sp9Ues0c4NjHVCCcJnMnFXLnDodmUIfApEmT\n",
       "5LLwlyAtxOROBWjjhwKN5ZM5zLzMmQsSJzxWbphuo7q5WOVhetH99OnTXezzomdFaRxLac/DbnkU\n",
       "0rflod6YMbED1nEeegrkRGUi6D9n5hL0PwXAzxF/2zCNbYcHlLWPk4bmm2++lKY4HHCpowqk3NyT\n",
       "jOhrTh6hjRymUNWu2ElFsXwxfOgQtpMxXWCBBWJFtaXn4lMfsapTIXfuhH2K9V3qZx7kBA9krFLm\n",
       "vcxh+ps6rrSpqr3SbvnlveAgjhTIHasi2s8777xJ705Ke/oRZ0zogAlgzzmnKoJOm8KcbqMi6DRa\n",
       "KZZSQCkwtBRAAsOhIOFuemhr6Y7S0rYk3dFWbYVSQCmgFFAKKAX6hgLKgPtmKEe2I6oDbqe36oDb\n",
       "aRKmqA44pEj9XnXAxXTp91RlwP0+wsPUPwyTUgEjFHtEnzunNiUPxh85hi4YrfiGNNRR1j7agzFN\n",
       "KvBxxLinCsB5+eWXnaFSaKxUlpe2pBjqSBng09+wz/I8/MV4Kgdi+PQNQxsfYKiMbSpwVnGq8Rhl\n",
       "YsCXg5/bHmhIHQJl8wYcxjVnbKENp1lVAXP4tddec/MnZa5JeTm0IQ/toZ4UoN05Ywvtw/eWd8en\n",
       "b0q9YwlHGXDGaPOS7Lvvvsaet2rsWavmpJNOcgYZHONmz0816667rvv78Ic/bC688ELHcD71qU8Z\n",
       "e75ro5ZDDz3U/PrXv27cc/G9733PrLfeek7vsckmmzgHdHs+q7n55pvbDnHHRYjTdRSUAkoBpYBS\n",
       "oLcpoFbQGeN3/vnnm6WXXto88MADhl3aJz/5STNhwgTHMNkZiPsGpvfrr7+++cQnPmFOPvlks+ee\n",
       "ezom/POf/9ytPsnnAzuL/fff3xx00EEuGSa7zz77GHtIvPnXf/1XlwcrYuCHP/yh2Wmnndy1/lMK\n",
       "KAWUAkqB3qWAMuCMseOgcg5Xxy9x7bXXduEtQ7cMiuPcV2GY7Ir3228/s/feezufuj/84Q+VNS6y\n",
       "yCLO9YKyd9llFwPjZucNk7/jjjvMOeecU1nGcCOw408F3FRWWmmlZHcEXDeWW2651OIN9Ardjsra\n",
       "h+sGC6lUWGqppZJcN2gDY1Y0J8rqWmaZZbJcecAHUt1VymhR1K4Y/vve97429y3cTFZYYYWiYgrT\n",
       "cLchMl0q4IIUa09RGbgVLb/88kWPCtN4V/3xWnnllQvxJJFvQI4bEm1JcfthDiPyRUQvbmZSZ9nv\n",
       "+PHjyx63PQOfulKAdueMLbQP31vom9L/lPb0JY6dTH0PVlxcs7qMIennj370o9rEiRNr9iNSO+qo\n",
       "o2pWX1OzL03NMpma3cXWLLOtUZ8Nfdmoz4qua5Yh1/7nf/6nkeZffP3rX3fl2fCPNfsBqH3mM5+p\n",
       "/eUvf3EoDz/8cG3LLbd015dccknta1/7mp91WK4///nP16wLwLCUrYUqBZQCSoEyClgDz5pdZJah\n",
       "9M0z1QFnLKv++te/GsucnE/x/fffbzAwwF8WYJf37//+7wYd7/XXX2/OO++8RslHHHGE09ueccYZ\n",
       "0cgyxxxzjLn77rtdeUTDWX311V1+fjFuIO3iiy82X/jCFxrl6oVSQCmgFFAK9C4FlAFnjN3//u//\n",
       "mosuusjlQMS80UYbNaxjEa1xgAHGVL5489JLL3UO5d/4xjfMqaeeavbaay+D0VYM0O9uuumm5ktf\n",
       "+lIDBfHzmWee6aI92Z13I300L9QNqZ366obUTpMwhcWkhqIMqWLcYh6LZg1F2U6bfk5RBpwxujDR\n",
       "yy67zDFeIrX87Gc/M+xuYwCTOuGEE4wVWzvmudtuuzn9F4y4DLCu5ghF0RejB0bviy65WyDUuZa1\n",
       "C10lC5aUkHyUUxTSrqx8Fj/oIn0oax86P/RVqQAudVSBlIvOK0fvhc7P10NW1QM+/Q37HMuXG64w\n",
       "hg8dwnaWhSucfNPvzLP3tsZxLsMvaj/1dVsoytyxTZn3MoehcapuH3rJWFl7TeuuVUTB1jTei9T2\n",
       "545V0XvLHE15d1pbOXbuNBRlB2ONzyYGEzL5Oyiiq7NoKMquHp6eadzv1t/IzPn+95uP/fjCnmlz\n",
       "rzbUOkuYbbYxZtdde7UHzXYPJhQlPs6nnXaaUxPik7zkkks6l9ETTzzRYETYbaBW0B2MSM7uo4Pi\n",
       "NYtSQCmgFMiigDWethbUWVn6EvnAAw80H/nIR9x5wlh7EwTk9ttvNzvssIO56667uq7PKoLuuiHp\n",
       "jQapDrh9nFQH3E6TMEV1wCFF6veDDUVpwxIkMeB+P44QHTpMeLHFFnMqL0TuW221ldv9hlHcikdi\n",
       "ZFOVAY8svfumtqqQfX5HNRSlT432aw1F2U4TSdFQlEKJ4l8JRcnut1YrxvFT+z0UJTvd3Xff3ViX\n",
       "TRdxEDudr3zlK84/Oce/2qfZcF6PCQacYgQxnETutbKx0vZjJaNX8Q+Y535gYKDRraLnPj4rT994\n",
       "JwWfgAQCVfgweD+WclX7aI8fn7eqfHAJQypQhU+UND+ebxU+ffXjC6fgU4dAFT5j5Y/HUOMzX3LK\n",
       "t06cWfgY9+SUn9se5k5O+dA+B59FBPh22tkIecY88UT7++THS2bu5JTPeK6yyrTGDrhqfJFC5JY/\n",
       "GPxc+vJ+srAgCmD4B0MtA4xijzzySPPUU0+Z3/zmN+Zvf/ubi1aIF0k3wpjQAZe5/eQMyumnn27+\n",
       "7//+z1kR8hH52Mc+5kJNStQrymJnaINwmKuvvtocd9xxLkylDaTRqIa4zxdccIGL3MSHF32yDcTh\n",
       "ImttvfXW5tZbb21YC/NSbrvtts4ieiQXEXywfQMzsbqVTnBP/wWKnvsWulhd+gw1Bd/vbxU+VpZ8\n",
       "VASq2kd7csoH1+9PrD1yOAKLjRz6UL5vlR0rX/oHvr+gqcKnLb5VeKf4hFgFwvzMl5zyKSMHn7mT\n",
       "g5/bHmiZU34uPvMNmhEaAGP6+eab39bXtNrnGTiyKGQ+57SH/FOmzGsjhkHZ9vEJx4sFTUr50p4w\n",
       "f+xeFp3h807oRT9s0CF+WiAlihc6YP56AcYEAx6qgWBXePjhh7uAG6yCYZyHHXaYucAyVAE+Fqy+\n",
       "AMQ9od4hFvf5H//4hyHEIO5HwrB/8YtfOJcnn1lIPcP5yweMD4KA/7EnjXs/PGDRc8nLLwuU8TYE\n",
       "nrgjVOHzcfDDCVbho+/xXVWq2geuX6Z/TXvDe/y6q+hBPtpN3jB/1f2yyy7bEooyBZ/6xF2lCp+x\n",
       "Smk/ZQIxfAlF6dfHwgTf9Fj5MH8fnznAXIjhU7+PL6EoU/FZyBA+MRVfQlEKPqEo/frD9kgoSsEP\n",
       "n4f3zGOC9Lz88tw2QI+xMQIchm0fv3WgviWWWKIlFGVq+dCS/DacfGMHXNZ+8GFiKeXz3YGWZeXR\n",
       "A/85oSj9ewlFmVLfbHK4ec03iPC1ucD39dxzz3XfnC222MJ9q6E/7qDdyJSVAeeO8Gx8JhQMePHF\n",
       "F3dRr4S55BbHyyDMg53zj3/84wYDJujHWWedlVvkiODnmPTzka6Kses3GlpC11TgBQuB+M0xoD3+\n",
       "jjaGJ+njxo2Ty9JfPv7+TrYU2XvIRz0HcvFzxop2xPCLdh+5Y8WiAdeQVGBscz7Eue2Rd0/aUzZv\n",
       "wPF3jpKn7BfGCtjD0cynP23MjTcaG4inPUfRHG7Hak8RWlotSWG5YY6c2M4wUml/WE7RPd9EFsM+\n",
       "pL47fp7BXH/1q191bkccmIO0EZE1tGXj9Ktf/WowRQ9L3jGhAx4WytlCmaAwlieeeCKrim9961tm\n",
       "ww03dDuN448/3om1KYDTkzCVZ9f85JNPOrHqaqutllW2IisFlALdRYGpU42xp4saG4fHqj7SGGVu\n",
       "D1IZcG65vYb/+OOPOytoJJNIrj7wgQ+4BRyLx1Aa2Q19UwY8yFFA58uqWXScvu4vVnQs7jO7g513\n",
       "3tmt1Ij7jAFCt4K6IbWPjLohtdMkTBmLbkjnnjvD2GiydvccZ8CDdUOCAVvtVyX0uxsSdjmftqKG\n",
       "fS3BUX3913/9l4siiD4b3XS3gYqgBzEihJhcZ511nMESO9o/2WXuM888Y9DppQBxn3ESJ+6zHDFI\n",
       "uEnM5mHsNyKv6lLIEcWxsBjuUJTojHwoax+SixxRMbgpKgYpl98c4MOQk0c+JKIDrqrLN6irwuV5\n",
       "DB86hO1ET5gjPs3Fp75QTFzWB2gi9CnDk2dhn2J9F3zmQcoiW/BpyxtvDNhvQj3FNq+QUVIuc5j+\n",
       "po4rJUp7Yb4pDJj3wtfHSjuLfnPHqoj2qHpS3p2i+jtJsyfUuXPaGVfE8+iDGS9+uxHyvhTd2IMR\n",
       "btPJJ59sOJSBlTy6qR/+8IeuBZxSxOqLlaw9djC5VcR9XmuttVzcZ/Ij0sblhfOGcz4kyRUOEWJM\n",
       "T1hUvOqAi6jSTMvV6ebi54wVrYrhqw64cx0wjBdABF3EKHMWMfWS6v9VB+xTo36N2FkAhtzNoAw4\n",
       "Y3RglvwVAdFX2L2yCpRdQtGqC2s8H2CyWED7gP+aglKg5ynQ9FTr+a4MpgMYXcF4ARhxkRFW/Wnn\n",
       "/1NF0J3XoDmHgwKzp8VwFD32ymSnJ8y333uvOuD2EVYdcDtNwpSxqAN+550ZjvFCi5gR1mB1wLjB\n",
       "pzD2ftcBh/Ot2++VAXf7CHVp+zQUZfvAEIgAP0QYsR/Zqh2zNUVDUbbSw7/rj1CUtUoGjNqJCFbM\n",
       "Hwlo4dMhdk3EKBgvO2t2wVXQ76Eoq/rfbc+VAXfbiGh7lAJKgb6igC+CjumAB9Nhdr8E9ijSLQ+m\n",
       "XM07/BRQBjz8NNYalAJKgTFMARijGGENhw4YBmyNqJN2wGN4GLqy68qAE4eFOL+EMvPjSiMemzhx\n",
       "okvbwoY9Q+yIkRURWASIbMVh0LnAEVqAhKVMzf/QQw+Z2267LQn9/PPPN5deemkSbojkh6IMn4X3\n",
       "WHhiMZ7qjoBhGiHtUgHrXLEGlTxl7cN1Ayf9VMDP24/3HcuHiwcWxEQDCiMCxfKQTghScScpw5Nn\n",
       "4NPfsM/yPPwto0WIy30Mn76FdMDuISe6EnOA0JWpIKEoU/FxP/HDmFblI1Si7+ZUFbENC/Scsa23\n",
       "Zc4GA47pgJnDRJ2CxjlzgdCSiJ7ZAaeIoMFPjTKHu1LO2EL78L2FviMdDatqzLvpuVpBJ44GL2lZ\n",
       "rGYiV+Fvhg/vxhtv7FyS+NicccYZ5uabby6sBb0PzAZ/OwFODuGjNpXwORY4VqsMWBAQ4UVeWg6B\n",
       "YNJPmDChkQ0n9NA4jHpYVPgLikaGhIuYq0pRVnVDKqJKMy3XrSgXP2esaFUMX92QOnNDsp+FFivo\n",
       "IlHxYNyQrBo4eQecw1D5ZvRaKMrmW9UbV8qAM8YpJVYzOwR8g/ELZgITrEOYo1TFodF77bWXC4pO\n",
       "zNJTTz3VfOYznzEHH3ywefjhhx1DluPm2AHff//9zsXpkEMOMRtssIFj6pT5oQ99yMU4JfAHBhzs\n",
       "Zn/yk584Br7JJpuYxx57zAX4IErXeuut53bn9913n9lnn33ci4XxD+5TCkoBpcDwUcAXQcd2wIOp\n",
       "XXXAg6He6OZtbr1Gtx09UXtqrOYPf/jDjrki5vzgBz/Y1jdOSyJoOIHCTzvtNPeL2Hjy5MnuNCRE\n",
       "2BK3VI4Eg4lKBB52rfzdcMMNZptttnG75KOPPtqKueY0n//8581BBx1kVl11VVf2hTYK/JVXXmn+\n",
       "+c9/upjV7NDxT/7tb38bFTW2NbggQd2Q2omibkjtNAlTxqIb0vTpM1tE0EU74MG4ISF6TtUBqxtS\n",
       "OCNH9153wBn0h8FJrOZJkyZFYzWzC0VcB6NFJLz99tu31IJYh13vf//3f7swfpRLMI71Oa3bwppr\n",
       "rlmqNxGx8aGHHmo4zIGdMDtjyU8ZuDOw291jjz24tfqhGYaXj3YTPhMYzPFcZaEeXeHeP/qnoSg9\n",
       "ggSXqCFCFUGA0nILPgBdUyCUwFTlieGHYRspJzdcYS4+dPF1tFVthyZCnypcnod9ivVdykKtJAth\n",
       "SSv7pS2zZg00GDBDhlV0CJTbaShKG3wvWQfc76EoQ7p2+73ugDNHiGhXl19+ubn22mvNZz/72bbc\n",
       "MFLCVbLL5EAFjsFC5OzDd77zHbPDDjuY6667zpXB7naNNdZwJyGBh+iYFbEP6FGnTZvmkh599FH3\n",
       "i26Z3e4jjzzixNyUxwcIBs0CYJVVVnHHG1511VVu4cCumL977rnH5b/33nv9KrKuY3rCokJEB5zK\n",
       "MPgYpRqKUB/6s/AjXXasHO3J0aNiRJLyUedjDt35yOUsUGgLbUoF8PkL+xzLnzNWlBHDp2/00YfK\n",
       "sUIB6gFzINV4jGxiwOcVUXpZ2Z4gNzT09a9l84asjGtoiBYU2XJb16HO0WDAMRG0zGHGNaRxS4HB\n",
       "DbRkB2ztpZKMsNABp86bodIBp7w7QbfGzK3ugDOHuixWM4ZNu+++u/n+97/fsIRlh4rO9Xp7Grcc\n",
       "GADzJaQlDBRLQxg0hlurr766wfoZJhlaWn7uc58z7HjZHSOeZrcLg+XYLT6YHALxzW9+08BUSUP0\n",
       "jZib9rCq58PE4uHb3/622xUTf/rFF1/M7L2iKwWUArkUGAkdsH291Q84d2C6Ad+KU/oerIi2ZiPA\n",
       "dFU/rUi4Zq2g29pkmWtLmmW4jXvL4Gvhcx7a3XIDhwvw7C64kWbdpRrXcmGj7chl26/VI9esFXZb\n",
       "up9gd/r+bek1/bQLg5o1LCvFk4f00Z6xLLeVv1bcXnvuueda8KyOuuXev7G62ppVD/hJpdd2cdNG\n",
       "46IM1hCuZhdTNbuwcX9FOEVp0Jo2pQL41BP2OZa/jBZFeWL41EkffWAe2TNY/aTG9U3rblj7/e57\n",
       "Nu65YA5YW4eWtLIb5jZzJxVy546N6NYyttZWorQqK4XK+pZAm+22m1GzU9TBCSfUajff3F6FzGHm\n",
       "Zc5csNKy2j331GoHH1yr7bNPe7lhyoMPPliz0bPC5MJ7viNTpkwpfFaUyHfGeoO0PArp2/IwcsP8\n",
       "sxuTyNP+SlYR9CitghDF+aIvaYYvfkJ/u/XWW8sjt1v2n8uDUKTErlp22+AUiYByRJ5Sj/+roSh9\n",
       "atSvNRRlO03CFNQthE9MhX4IRTlzZq3FDalIBzyYUJQ5RlgaijJ15o0MnoqgR4bOHdVS5QPcUaGa\n",
       "SSmgFBhRCvgiaIywuB9KEDckGLFCb1FAd8C9NV7aWqWAUqDHKOAz4JgR1mC6JAx4qBn7YNqkedMo\n",
       "oDvgNDopVkCBWLjCAM3diiUrhmApgMg8DGlXlk8sj32csvZhlJYbihKxfhVgIYvlaI5LEWUSYa1I\n",
       "HRGrD3wg1aq8jBZFdcTwMfYLVSCoMmLRlQYCC2jqYg50WyhKf7xSQlFaLWQR2QrT6qEo52iIoGMM\n",
       "mDmMqyAi+iKVUWHhNpHQkjgz8Gql7IDBp64UYM7HxrYoP3MjfG+Jypfy7hSVNxbSlAGPhVEehj7G\n",
       "XFWKquIjXfVh8/PlupIUMa8ydxLak6MDT41lywcoZFB+v2LXuJ7kQC5+zljRjhh+0Yc7d6y60Q3J\n",
       "p33ZvAEvx70MfNyQ4NeIngEYcNFOtWgO13OU/+/EDam8xObToXJDapaoVyEFxgQDZsV66623utV3\n",
       "SAC9b6fA3/72t/ZETVEKZFKgNjBginbBmcX0PDpGVzBeAEZcZIRVf9rZfz0NqTO6dUOuMcGAiXl8\n",
       "yy23ZAUWJ7Yy8ZhTA0LgA4wIqSqSjgw6Vo/sBmTHhLUnlssx8RMHJ7BK9sVlUlbRbwo+ONTHLgYa\n",
       "yc7qmGOOMVU7Aesq4PyQi+oO0+gbAUrwYaauKsCaGGvNUJwVy0fQEsbKD/BA6M2YKBXa0/dUMTQW\n",
       "39AptDYP20MoSv5E5Bb6cof4ck/ENHbZqXMHfCJKpe4my2ghbfB/Y/j4mrMD9HeBzHvrDpV8AhGh\n",
       "KGl/qhiacSIwzdprr+03MXqdO3doO++gjC2R4sqkNbwnBLpJ/S5MnvyEbeuy9q/OgWMiaJnDfENo\n",
       "S+pcsC5d5t13x1uJTvHOOiQU0fAQC6ccssA7xZiniqGtC5gLFkRseoGQvpKuv3UKjAkGTFf3339/\n",
       "F+AideB50WAc/mQqywuuvDxlePKMDwvMVERPMHw+qrEXj6AZvJgpDIw6UvB9HF4UXsxU8D/CVXlg\n",
       "FBqKMk4lmHvqwopSZJEGXVMgNqdieWP4MKqwnbmhJXPxqU+YY6y9fjo0Efr46bHrsE+xvkt+3r8c\n",
       "HfA888zfED9TRowBU26noSjR/bKuZSdcBby3skCsws0dqyLao+pJ/WZVtacfn48ZBpw7eOwGZUeY\n",
       "klcYaQouOOFHpSq8XeqKW+pPwfdxcpgvdcT0hFK//6s6YJ8a7dc584zcufg5Y0X5MXzVAefrgBdd\n",
       "dAnHHKErAAMeah2wiKCFufMbg9TdLPlZ/KTslKUuGHso9Um1n5AyxtpvyVCNNVJof5UCSgGlwNBS\n",
       "AH2vL6jguogBD6ZWYcCUnWIJPZi6NO/QUkAZcISe6Knk0IMISksyImXEuKlANCD0PgLoPDnBKAY2\n",
       "NKNB35YKKfg2bJxBZwagZ8sBdMCpgHiek5nQ/6UAbaJtqQAdw+hK6DFjgA7YhlWMPW5LRwfM+FYB\n",
       "+l90ZhyaIQdnVOXhOXONNqUC+NQT9jmWv4wWRXli+NRJH31gTjLXUmGsHUc4ZQrzuBl5AyZZZIQl\n",
       "c5h5mTMX6jpgdqv1vyrmrscRps7UkcFTBhyhMx9cdKSpAJNJ+UhLebxw5BFAB1z24tGWVAZGmSn4\n",
       "4GBoAeQsHsDXUJRQoRVYOLCIEmOs1qfxO+wNchZX4DPXUucbjDMHYvj0DUMbH5iTLB5TYayFonz+\n",
       "+WlW7Nz0GxYxcUgv3n2+AdBYFsUhTtE9izDRAcOEq3bAGoqyiIqjl6YMePRorzUrBZQCfU4BdqS+\n",
       "CDrGgAdDBpguVtApDHgw9WjeoaeAMuChp6mWqBRQCggFagWnz8uzMfBbqw04wyvpKgy4SkwsuKm/\n",
       "CLFg8qoDTqVY9+BZoYVCEQXwg62yTPbzYdWcYwmN1bHv0oG1IWb/MSCkXU70phR8/GzFZWOllVaK\n",
       "VV2YHvOxLUKGLpSf6o5Am1J9gKkP69zQLaqsfbiapPoAUz5zIcV1gzYwpv64kr8K+jUUZVG/mQOp\n",
       "PsDk570qG8uwDtyK6uEfwyfF9+F7WOYDTAlYoOe4IS211DJ23jffa5hkkSkEc7jTUJS//W3dDYkd\n",
       "cBVz11CUxfNgtFKVAUcoz4uW4+6Rw3ypUt2QIoS3yXykfRepOGb9SRHtywKJsJDJWcykulLw8ecv\n",
       "F3LmGWXn4sfcimLtjOGrG1K+G9Iiiyze5oZUZIRVNIdj4+OnE3wGhg7zTRFBqxuST73Rv24uzUa/\n",
       "LY0WYGF77LHHmhtvvNFceeWVZr311jNf+MIXsixjG4XphVJAKaAUGCUKwGx9wdZw6YAJxJHCgEeJ\n",
       "DFpthAJdyYAPOuggs84665gzzjjDnHvuueY3v/mN2W233cx3v/vdSDeGPlndkMppqm5I7fRRN6R2\n",
       "moQpY80N6YknnrIkaHVDKhITD4UbUooOWN2Qwhk5uvddJ4JmIiI+hOFiko+7C3qaT3ziE+a8884b\n",
       "MWqhh8zR9aD3yxE/IgL1dYXcl+mAEVGVPQ8Jk4JPHyWcYVUIvrD8UOcaPvfvqUNDUfoUab1mHPy5\n",
       "0Pq0/Q58QMauHaM1JXdsY/jM77CdueEKc/GpL1TXtPau9a4oHGIrRutd2KdY3yUX6pGc78Lcc0Oz\n",
       "AcnudsNFDJhyOw1FiQia0zLZAReV3ajcXmgoSp8ao3/ddQwYfRs+kXvvvbdz8OcF+dGPfmQeeugh\n",
       "M2HChBGjmOqAy0kd0xMW5WJxUWXc4udTHbBPjfZr1QG300RScudOyNzLbAeoI2fhCf64cYs5xsg1\n",
       "wC51qHXAuCHBfPmr8gNWHXB9HLrlf9cxYAhz+eWXm9tuu82sscYabhd84YUXmk033dRst9123UI3\n",
       "bYdSQCmgFKikADtSmK7AcOiA2QGrDlgo3Fu/XakDJhTeD3/4Q7P11lubT33qU44Zc0YtZvojBaoD\n",
       "Lqe06oDb6aM64HaahCljTQc8dSpRyJo64BgDHowOWHbAMOGi3bU/BqoD9qkx+tddx4A5a3OHHXYw\n",
       "e+21l7n55psNE+ayyy5zPrZHHnnkiFFMQ1GWk1pDUbbTR0NRttMkTBlroSinTXvZ6nabwUhgwEV6\n",
       "2sGEoiQQB8zXmonYcJYhxVvvNRRlKz1G+67rGDCGV6uvvrqZOHGi07dgtIFP6MEHH2ymTJky2vTS\n",
       "+pUCSgGlQDIFQhF0TAecXGABIjtgGLCNA2PjkBcgaFLXUqDrdMCcJ4kl4zHHHGM23HBDx4Q5WYZd\n",
       "8J577tm1hNSGKQWUAkqBkAKzZhGKsvowhjBfzr0E4lAGnEO17sDtOgYMWa644grzy1/+0jz44IPu\n",
       "yDXckI477jiz8cYbjxjVsIbUUJRxcueEB8QlSkNRxmmpoSjjtOn1UJRLLrmU3Z02rbDYAReJoAcT\n",
       "ilJ2wDbCqj1RLU5LnmgoynL6jPTTrmTAGGFde+217gxZDFskLvC6665bGpP3rrvuMvfee28bDRFr\n",
       "U44AR6ph0CUMtuge/8Nll13WZSl6HuZHtyUuDSn4+PxJ+DnwAfFBLMpPLGJcLICi52F7UvAl3CPl\n",
       "iW9pavnS1hR89PqEzBO/1ar20xc/9nIVPrTkTwB8oW1R+2iP789aVT5toU0CZfi4zcnzFHxwyMOx\n",
       "kBIeU/LH5if44XiX3ePax1F3sfLC+mL4EorSx2dOQuui8ov6zxzAlacIv6h9lI3LWyp+WXuKyued\n",
       "pT9SPgtvv3/0wb+n7T5++Dy8X3jhRezcfNeW/+ZsX3hj3Sy5f7tlPMLvh7QnLC+85716++2Z9u9N\n",
       "S9eFzdSpre0N8XFDymk/Mer9/oflhfdIMH185lJOfVIev2MBuk4HPBgjLD5gvGThH37F/gc6/GDr\n",
       "fSsDU3ooPfR9aS7oBvM+sNslEIfQEyMsxNJyD5MZTPnkrwfiGLAL+PoOeLDldUN++jUmwEZ16Sqw\n",
       "h8TXdtxxx7Y22VVUzfoBt6WnJNgdTO3RRx9NQW3gTJ06tfbII4807qsurBtBzVoGV6E1nj/33HM1\n",
       "uzNv3NuDtWv2oPXGfXjx+OOP16yVbZgcvU/Bf+KJJ2rQFZg0aVK0rKIH//jHP4qSC9OshWfNSiZq\n",
       "dpdX+DxMpE20LRWgI/T0wbpJ+bct11YaUrNuZi1pZTf2gPoa41sFdtdSe/rpp2vMYf5SgblGm1IB\n",
       "fOoJ+xzLX0aLojwxfOqkjz4wJ5lrRXDTuhvWfr/b7i2PmAOTJ09uSSu7ge7MnVTInTu8s/7YWulb\n",
       "aVXWHqVmLYlLcfyHl132bO34499tJP3pTzV737htXMgcZl7mzIXHHnusttVWNftu1Wq33FKrffWr\n",
       "jSILL6xar8a3JgXsxqVmDV9TUB3Om2++WXvyySdb8EP6tjyM3DD/+GaPBeg6EXS3GGEhkrUTIHkR\n",
       "hkgT0WAqsFv3xaDcl4WaRBRX9jysNwWfPopY2Bcph2UV3edEBKIOpBKp7QffF4kX1e+nIXb0dxQ8\n",
       "K2tf7lgxriL+9+sNr6Vcf1xDnKJ7+pqTR2gjY1dUpp+WO7YxfOgQtpMxZa5FYVbrO1SJHxREfaLa\n",
       "CR4V3ubOnbBPsb5LZcyDnO/C3HPPa9+x5m66vgOW0pq/Mofpb+q4kpv2SiAOdsCepq1ZuHfFe+Gr\n",
       "d7xHbZe5Y1VEe75rKe9OW+VjJKHrGDB07wYjLA1FWf4GaCjKdvrwMecvF3JDS+bi54wVbY/hiw7Y\n",
       "7x8fV7El8NNj13yk0VumAsw956zq3PaEzH2oQ1EutNA4F6dZ+htjwKWLGMlc8LvookvaRVH9QYoV\n",
       "tIaiLCDiKCZ1JQNmN7PTTju5v1GkjVatFFAKKAUGRYHQDxgGXGQF3Wkl4oJEfhhwlRV0p/VovuGh\n",
       "QNcZYcW6+cADD5j99tsv9njI0zUUZTlJrZ6mHMF7anVDzqKdMIQpQEQpq0tKQXU4Vofn3NX8DFjS\n",
       "x4CoQ1afGXvclk7ULyKjVQGW9lZfbPBb5y8VmGu0KRXApx6ry0vKUkaLogJi+NRJH33AwNHq6/2k\n",
       "0uuxForymWeet0ZXTQt6KwAoDBcpc5h5mTMX/vnPKVbEWyd5yg5YQ1GWTs8Rf9gzDHi11VYzp556\n",
       "6ogRSENRlpMappQKfKQJgYerRQrgkmONmFJQHQ4frJBBlrWP9liDt+Ty+TiyKKgCcMTlLWRUZXlp\n",
       "C21KBfDpb9jnWH4YZw7E8OmbNXJqKQqGytimwlgLRfnSSyzcmvMeBlz0GjCHcT2CxilzTej9zDMv\n",
       "NkTQ6IDtWrcU+j0UJTT86le/6k7OI6Iih/hwvnxsTpcSawQedqUImt0VzPa+++5zK278gCdOnGiO\n",
       "PvroESCJVqEUUAooBYaGArgcwXQFYjpgeZ77O2PGQEPHjCs8Jggw4TK7uNw6egn/wAMPNB/5yEfM\n",
       "NddcY7BZQPp2++23u/MFiBPRbdB1O+DB+AF3G3G1PUqBsUyBAbwI5mhaAPczLX73O/x523vI6UTD\n",
       "yYBnzhxo7ICpPUUM3d7K/klBhA8TxpsGK26svrfaaitnWBhKb7qh1123A0YEI4cxCIHkMIZddtlF\n",
       "krJ+sbz0RXyIeIgcJK4qRfdEcJHIOUXPw/y4DxAyE0jBl2Ahgo87gbhAFOXHchSTfsEP6w/vU/CR\n",
       "LODSQn2EQxQoqj8sX6KTpbQH+oMv7ghV5fPiEIFHoAqfPlCHAPhl7WOsfEviqvLBpU0CZfiUzSLS\n",
       "F7eX4VMmffXdqFLwqaNsvvjjheUrIvGy+Z6Cj3U0Vt5++5iTSy+9dGH5RfRiDjDXUtuDlfL48eOT\n",
       "8Wkf7Uwtn3eWsRL8lVdeuaV/9MHvL3OBb4ngy/O5555hNtnEWkG14S9h3Zaa5TONFljgbZu/9fuD\n",
       "axDjQ1uYa2H5/vj47Xnf+5a3VujN8hBDv/rq27aO1vIlP7TE4jqlfGjJ3PHrC/vn34PPe+fjQ1/c\n",
       "tlLqk/mJWoP5Tfz/EN7//vebtdZaK0xu3HOS3u67725sLAnHhBHt33nnna5d4r7XQO6Ci65jwMPl\n",
       "B+z77nFddc9kEAacgs+HKAefl0BcDyifySEf1KL6+BAJAyt6TpoA1yn44j7Cy+m7mKSUzzgJVOHL\n",
       "R1eYZBU+eL57SBU+Lz6MTwB8n8GG+WmPvOzkCZ+H9+BCI4HwudzTDv5YaafgS3n0tRP81PkGg88p\n",
       "P4Yvc4T+0WcAWrJYjZZv/YCFPuAztoxNFN/i+Pi8I4SETcWvbE9QPrT3x0tCUUr/aLPfnt13X8gc\n",
       "cMCc5mMfa50PNmZFQ7fr4y+44HtsmNEmvVgn2rgxVjdZs2FzKb1evv/98Nsjz2PtGTducTsGzfLt\n",
       "VLVGXPHvm4SiTKEn7xRzwR/vsvawiOC74ONLKMqU+igbEPoV2WlQdhkcccQR7syAW265xSBypv4J\n",
       "EyY4EXRZvtF61vxqjVYLCuodaj9gVpV8GAXClZDezy+kcb9KD6WHPyF0PjTnA0Ko6dPnt4vtJoWg\n",
       "j7XTa1g3+/RCBP3uu018dsBvvjm/tZJvzd+8M21BaPzywPPvOQuY8qQ9dUOs5n2I3wv3MHIWaoiS\n",
       "c2H77bc3m222mTnqqKNapFa55YwUflOuNlI1JtQjfsBf+9rXzPe+9z1z/PHHj+hJSDRR3ZDKB0rd\n",
       "kNrpg5gNa0t1Q2qnjaT0uhvSW29Ntxb07afeY/gUWjdzeNvZZ79tGXPT/Q4GDB6M2YdO3ZCmTJlq\n",
       "d8DNktgBB55izYf2qt/dkHDNg5Zbbrmluf76691uuoUAXXbTlTvgbqARq0xf7FPVJsQ1/i67Ch+R\n",
       "ky825d7XM4b5EcWVPe8Enz6KWFjE32E5sXtfhBvDkXTqQFya2n7w/VW+lBP7Rezo61DBK2tf7lgx\n",
       "rtRRBVKuP65VeXhOX3PyCG1k7KrqyB3bGD50CNvJmIoqpaodPM/Fpz5fHVFVR+7cCfsU67vUO2vW\n",
       "HPa70P7ZhAGHTNXyAOvPXrM0a1pnwYBxh+cXKb4Ybskcpr+p40qb5p57AVu+tK7aCIv3ot9DUZ5w\n",
       "wgnmoYceMqeddpr58pe/bLbddlvzwQ9+0Oy9995NQnXJlTd0XdKiLmkGeipfj1jVrJyPEGWFHxXR\n",
       "58XqEX1t7HmYnoLv44gBWVhO7D4WrrAIn8UFxi2pwMfIb1tVviLal4UUpD38pQJ6pBTgY85fLuTM\n",
       "M8rOxc8ZK8qP4YsOGByB3LGCufRyKMqBgblaFiHW3s98+tPGbLNN+w4YJvvWW/M33ISgme2+Y8BM\n",
       "PxixlbY6KJrD9Sfx/4i955tv0bYdcFlMl7ESinKdddYxl156qfNRv+mmmxxDjlNy9J4oAx492mvN\n",
       "SgGlQI9RAKbJnwDxUzCmsnY+jrmyC4bxAvxapw6XXk9pMmDWaT4Dluc5v2edZcykScZalTdzIYLO\n",
       "iDHTzNgnV3vssUfLAgkjst12261rezd7qnRt+0atYaoDLie96oDb6aM64HaahCm9rgN+++13LVNt\n",
       "huOE4bKbZTdqNQnWQKvZY0TDzzwzvU0HDOMlj2dY7/SW6C9zQlESrfXpp99o2QFjhFW2A+53HfBh\n",
       "hx2WJcJvjtboXCkDjtBdQ1FGCDM7uSzUY5gTv0kNRRlSpXmvoSibtAiviGSUGvOavLmhMXnPqUOg\n",
       "al5Pnz7LMrgmlxUGzK5TdrVSFvpde8S3vW2GomRXDONF9Owz4E5CUcKAX3ppRpYOuN9DUQrte+VX\n",
       "GXCvjJS2UynQixSY7S/ci00vajMWzL4IWhgwouaQAcNsX399zoZImvJIY5csOuCiOlLSsHSmnFdf\n",
       "nTNrB/zIIwuYP/85pQbFGQkKKAMeCSprHUoBpUBfUAAGTPxlAWHAsgP2RdCsPRZccKazdhZ8jLDY\n",
       "+YYiaHme+vvYY8asskrdkhqmLlDlhvTcc3Nby2zB1t/RpsBco92Abq0fK9oqy2S/7Vg151gyYnXs\n",
       "u3RgLFDmprP88svblzbdcjcFn7Bx4tKSc+g5/f6Xf/kXv/ul19CF8lNceSiINvmhJEsLtw+xzg3d\n",
       "jsrah6sJ4RNTgbmQ4rpBGxhTf1xT6iA0Y87ckbChqe4qZbQoal8MH+vo0MqbOZljWcscWHHFFYuq\n",
       "LUzjvYq1pygD7WPup0L4HlZb689l5/ECjeJhwOx80QHbgF1tu+PFF5+zxQgLZik6YH8nzRwmWhRB\n",
       "g+SdbFRScAEDtq+UefjhuVsYPDrgMj/gmTOXsWLrtO8Icz5nbKF9+N5C35R3p6CLYyJJGXBkmNUN\n",
       "KUKY2ckxV5WiXHykqz9szZy5ri1FzEvdkJr0zBkrcsXw1Q0Jv11EynYbOxuEAXM6ZyiC5tl73ztX\n",
       "mwgaxguurwMumsNSR9Hv5MnGjB+PBXQrM63aAQ8MLGnF1kUltqexkGRjkAowWj9ELflSXfhS6+g3\n",
       "PE940W9d0/4oBZQCSoGhowDiZYynfDEzImmYKRbPxGrxd7Uw4ClTWusXP+DQCKsVq/pOdsDwR1/N\n",
       "XsWAabvP+KtrUozhpIAy4Ah11Q0pQpjZyeqG1E4fdUNqp0mY0stuSDDXOefEDal5IABMFs2Q9SBy\n",
       "DNhnzjw79dRn7UEA1ll4NvhGWD4jzA1FKQx4kUVetLtMKb0Z2MNfCDSfGnuS05M2CNALflL0errt\n",
       "zOOPPx59Hj7goISpU6e2JD/33HN2x5245W7JOTZuVAQdGWf0MBqKMkIcmxzqXOOYfLQ0FGUZfZhr\n",
       "OXpj0RGm6oCrwiuGbYvho+ML21kaWtLfms2upBQ/bIi9p74walwBWiMJmgh9GoklF2GfYn2nCJja\n",
       "vPMOWD1tqwjaBs0zL75obNjD1t0x3Z9vvtYQs74Rls8kUbsQTpX+Vo0rBl+UzYFkBx88y0YWa+2g\n",
       "7IJpVwgcDDF9enVYVfLljlUR7VE/pdp+hG0dC/fKgCOjrDrgCGFmJ8f0hEW5VAdcRJVmWm5oyVz8\n",
       "nLGiVTH8sa4DhmEuuGDrJ5NdrlghI1b2mSri6cUWW8TtjGW0fSMsfwecowOW3S9lFoX1lGAcRQx4\n",
       "xozFzWvtZ0lI81p+WQyoDriFJEN+oyLoISepFqgUUAo4CshJA31CDphrkQ5YGHCoA2aXKs+EBMKA\n",
       "Q4MteZ7y6zPgInzZARc9I3QmCwOF7qCAMuDIOKgOOEKY2cmqA26nj+qA22kSpvS6DnhgYLrVaTZ1\n",
       "uuyAESsDIQPm2fPPP2v1rk18GPDHP17H9XfAOTpgLKBxQQImcxOA7ICD5Nm3U+2uXHXAxbQZ+VRl\n",
       "wBGaayjKCGFmJ1eF7PNzayhKnxrt1xqKsp0mktJNoSjZAQ8MvGtPOGpuIX0RNAw4NMJ65ZWXnH+v\n",
       "9Idfe0iPY9Y+A84JRenvgIvCdJbtgOeZ5zUrRk+TQeOXTOjKVGBx9SLKcA9YWPihPr1HemkpoAxY\n",
       "p4FSQCmgFEigAMx1nnlqbUxWxMyhDthnzmHxuC35+uLwedm9z4CL8MoYMFG8aJdCd1BAGXB3jIO2\n",
       "QimgFOhyCtR1wDXLOAcaLUWfKgy4SAQdU4OD6++AGwVGLthYLrywMdarx0ZNwwshgmiTy6JhzZyp\n",
       "DDhOuZF/0mrSN/L1d22NGoqyfGhywgNi4amhKOP01FCUcdp0UyhKGPB73kPkqea+hd1kmQ54mWWK\n",
       "w5iGO+CqUJTsvrFqJuIWIS8FxhMOK4CyHfALLyxpT3NqulEFWVtuNRRlCzmG5UYZcISs6oYUIczs\n",
       "5JirSlEudUMqokozLdetKBc/Z6xoVQxf3ZDYXc7jdqB1cbRx4lzZAYcW0nVf3UVb3JBk1MMdcJUb\n",
       "EsyfHTO/wvApq8gNCQb8xBNSU+vva68tWhor2sdWNySfGsNz3VzKDU/5WqpSQCmgFOgLCsB0YZw+\n",
       "o/X1vDwDR8AXT0ua/LIDzhFBw3gB8pC3DMp2wLQpp96yevTZ4CmgDDhCQ3VDihBmdrK6IbXTR92Q\n",
       "2mkSRpPrZTckGNeMGW/ZKFTvNBitz2RDIyx2wM8++3SLG5JQKGTAVW5IsuN+++36IkDKyXFDIu8S\n",
       "SzxjTzh6IYkJayhKofLw/VaspYav4m4vWUNRlo+QhqJspw8iuzC0YTtWe0rfhqJs72p2eENo2l2h\n",
       "KOewoS7nsEy13jk/2AY7YNmp8pTd8fzzt4aiFJKEuFWhKKnPRnV05ZNXoCh0ZmwHXG/zvLaMOV05\n",
       "VTtpDUUpVB6+X2XAEdqqDjhCmNnJMT1hUS7VARdRpZmWq9PNxc8ZK1oVwx/rOmB2oQstNK+zMhZR\n",
       "cyiCDhnwEkssVqgDhvnZswsaUKUDlh0wvz7jLNIBxwJxkHdgYFFrhFUXldsQ5KWgOuBS8gzJQ2XA\n",
       "Q0JGLUQpoBTodwrAXBEz+zpgXwQd6oB95hzSJtwBh8/De5gnO2BhxOFz/z62A0YETQhMdu2UozD6\n",
       "FFAdcGQMVAccIczsZNUBt9NHdcDtNAlTelkHDAOePv0NK1p+u8HAYLJilRzqgHn29NNPFeqAyeMb\n",
       "Q6XogIVp+zvgIh1wjAEjgl5wwanWjemFFlF5OEZyrzpgocTw/SoDjtBWQ1FGCDM7WUNRttPnbbvF\n",
       "ePnll62bx+vurx2jOEVDURbThdRuC0U5a9Y7Vow7vaED9ne5wiClNzx75ZVpltFa660AwPWTq0JR\n",
       "+jtg8goUhaJEBI14m52uD3UG/Ir1J36tsYDwn4fXGooypMjQ3ysDHnqaaolKAaUAFAg5QI9TBSY4\n",
       "11w1q9NthqP0GbAvmpbuxyJhsYv19cVVpBHRM78+A47lEybsP4cB03523zl1+2Xo9dBSQBnw0NJT\n",
       "S1MKKAX6lAIwLZivz4BDHbDP2PxnIUnCHXD4PLwXBlxnouHT9nv0xW++2ZpO3jnnrDkjLspTGH0K\n",
       "qBFWZAw0FGWEMLOTNRRlO31wzcJylL8c6OtQlMEuGHebFVdcMZk83RSKEpHxIossaMaNm6MhwmUH\n",
       "LDpgmKrP2Oj6sssubY22rOVWAOEOOCUUpRhhEQtaoCgUJc8wtsLoygcY8MDAUua113BF8p8UX2so\n",
       "ymK6DGVq3pdiKGvu8rLUDal8gGKuKkW51A2piCrNtFy3olz8nLGiVTF8dUMiFvT87lAEmBkQiqB9\n",
       "xsazJZdcvFBkDANmhyxQ5YZEfTB4yvfXd0VuSJQZY8ALLbSkmTatdaEgbQh/1Q0ppMjQ36sIeuhp\n",
       "qiUqBZQCfUgBdsAwNl/X6zNgYZDSdf+ZpMlviCvpsV921rIDJm8V0E7fzxh8mDht99tfVY4+H14K\n",
       "KAOO0FfdkCKEmZ2sbkjt9FE3pHaahCm97ob0xhtYEL/eEDX7et6QqcKAn356aqEbErtY3wo61Q0J\n",
       "Ruwz4CI3JGgOA5ZduowB97NmTbFW0OqGJDQZ7V9lwJERIDxgUZi3CLrT+xGGMBUQy6IPEwjvJV1+\n",
       "EVERGi4VUvDp45yzFVg5faUN3RaKEvr5UNY+RGs5YwWuP1Z+Pf61lIvurEjv5+P6152EoqS/YZ/9\n",
       "Mv3r3LGN4ReF2cwNV5iLD027JRQlzG+++ea0pyHN1WDAMNmYDphn888/X+F7GzJr5hfjCY23224+\n",
       "84Mf+CNYFxkzxWmDL4KOj1WxDnjeeeezeuB5XDnHHmvMTTe11uPf5Y4V3xLmsg/0KeXd8fOMpWvV\n",
       "AUdGW3XAEcLMTo7pCYty8RKuvPLKRY8K03hhF1988cJnRYlF+jOM6GJAe/hLhXHjxiWh8vHkLxdy\n",
       "dbq5+DljRdtj+GNdB8yOddy4Bexfc3fpi5kR7YY64Pe+N64D9nfA/hzmVXnPe1pnEbtXpmy4Ay7T\n",
       "AReJoBdddCl3pjDtfOwxY158sbUe/051wD41huc6fUs1PPVrqUoBpYBSoCcoANNi5+rrUEMGDIMU\n",
       "wAo65gcc7oAlD7+ItX0DLdIoV+olbxWwES2ygoaJSzkwaL+9VWXq86GngDLgCE1VBxwhzOxk1QG3\n",
       "00d1Rn7SjgAAQABJREFUwO00CVN6XQf81luvWsb2aoNxlemAefbUU08W6oARW/s7YF8H/M47M5x1\n",
       "tU+7GAOePHmyj9a4RhBTxIBff/2fVrVW1wFXMWANRdkg57BdKAOOkFZDUUYIMztZQ1G200dDUbbT\n",
       "JIyGNdNypaLwiQU5XVK3haKsx4J+q8GAfR2w7CylL+yAp03j7N32UJTg+rtcPxTljBkzW5gz5cUY\n",
       "cIyWMQY8c+Y0q6eth6KEQZftgDUUpYzk8P0qAx4+2mrJSgGlQB9RQHxwYZ5iYeyLmRE38yeM1RdP\n",
       "h2RARGxDhhcC+UOeTX3C4H0jrMICbCIMuEgHTChKntmQ5W6HXMaAY2Vr+tBRQBnw0NFSS1IKKAX6\n",
       "mAJ1HXA8FCVdh0mCB5QxYKJZhQyynqueT5i4pMV2wPI8/I3pgAlFiR741Vfriwhpa5hf70eGAmoF\n",
       "HaGzhqKMEGZ2soaibKePhqJsp0mYgoV7L4eiXHzxcW73KztHmKxvFCXGVewyebbCCstZpmy5cgA8\n",
       "Z1crO2g/FOUcc8zV2EVLNuorsoKOhaIEV3bpUgb3Sy21vNUBL2ReeomjCdv1xILLr4ai9KkxPNfK\n",
       "gCN0VTekCGFmJ8dcVYpyqRtSEVWaabluRbn4OWNFq2L4Y90NCSZILGjfeCnc5QoDho48W3LJJRp+\n",
       "wqT5AAN84w186o31LfYCPFukoh0wZdMGn+HnuiEtu+wy1i+ZYxKNC6kZ24XTTnVD8kdreK5VBD08\n",
       "dNVSlQJKgT6jAHpZmJ+/uyxiwP7uWIJ0FJECnhueWAQeZRYxYOoVPXRReX5akQgaoyvKwMeYHfDC\n",
       "C5fvgP3y9Hp4KKAMOEJXdUOKEGZ2srohtdNH3ZDaaRKm9Lob0uuvv2R3rS81rIdhlH6AOjGUkn4/\n",
       "8cQTVhRsZb8FAANmBwyEbkhFDBjmT1H+Dnjy5Mkuf/gPEXfohsTCYOrURyxzf8ExYHbeIY5fjroh\n",
       "+dQYnmsVQUfoSki1GgqaRJAwhInodiU6rxPxCD73ZaEmU0JLSln8puD3UyjKgSDiwWiGomQu5EAn\n",
       "oSgpX8KIVtUVC1cYyxfDH+uhKNl9LrDA3E53GtvlihGWMGbGNvZeI4KWHTC6ceYwc6dWG2izgqY+\n",
       "dq+0wWfA8bFqZ64wbyJ5LbLIPPZIwmoRtIaijL0hQ5ee96UYunq7viTVAZcPUUxPWJRLdcBFVGmm\n",
       "5ep0c/FzxopWxfDHug4Y5rfoogs58bDPgP0dMMwRPNbupC+xxBLNgQ6ufBG0rwP2XZkkC8wTBky9\n",
       "PgPO0QGz211ppeWdCJodMmJqjiaMgeqAY5QZunQVQQ8dLbUkpYBSoI8pgA4Y4Qa7XJEqF+mAYcBh\n",
       "ehFZfAbsP2f37PsBs0tmtwzjDUXQfj7/ukgHLLto8CgPnDIjLL88vR4eCigDjtBVdcARwsxOVh1w\n",
       "O31UB9xOkzClV3XAIvp9yVovvfbai1EdMEwSRicMuEwHLFbQ0MjXAb/77kyXX2j33HPGHk5SZ/60\n",
       "w9dwTM7QAbMDnjTp7+aFF15wltfUrzpgofLo/CoDjtBdQ1FGCDM7WUNRttNHQ1G20yRM6dVQlLL7\n",
       "ZZHlnwcMo/UtnUUHLAwYZlcUihK6+DtgPxTlu+/OatkBw4Df+97iHXAsFCXiap+5iuia9rxmFcDU\n",
       "XWSo5Y+XhqL0qTE818qAh4euWqpSQCnQRxQQBkaXhMlyLYyWa0B0wKQHdoF1BO+/z4C9ZFembwX9\n",
       "/PP4E9d3vqT7DN/P518jXqbNAlzDlAXY/cKAZccu6fo7shRQBjyy9NbalAJKgR6kgPgAS9NhwjC1\n",
       "MgZcxShhwOKGJOXyC5MtYsCU54uf/TxF1+AjsgbYDcNwBb74RWO23bY4ZrTg9OIvu/uvfvWrZsKE\n",
       "CWb11Vc3m266qTnooIPMM88805XdUSvoyLBoKMoIYWYnayjKdvpoKMp2moQpvRqKUnTAWKDjnigM\n",
       "GEbpW0FLuoSYXH755V1Ix5AO3LMLffLJ+hM/FOXAwJwtImh2wGuuWWe+7Fh9GD9+vH/bci27cX4x\n",
       "3qJt4FMXwTgAMdYaN65+7//vxVCUBx54oPnIRz5irrnmGtdPTtO6/fbbzQ477GDuuusuv3tdca0M\n",
       "ODIM6oYUIczs5JirSlEudUMqokozLdetKBc/Z6xoVQx/LLshCQMW/3JhtOyA/Z2uiHSFMXfihsQY\n",
       "+DtgdMATJ9br8Zk9eDE3JJ4JA+ZaRNArrLACtw0o0wP3ohvS008/bWDC4ovPeG211VbmzDPPtBbf\n",
       "b9kFh5XNdxGMCQaMgzvGHwJcz7JvDqtxQO+VHjofhv59cEpQuxXsh/frnXda6TNu3CzL1OaeLYKe\n",
       "aUW99ecw5vp5vrPszrj8+0JQD1yMQvrMO+9My0AsZzf1/C+/PNNaQc+yYuS5nQg6xC+7Z+HA8zff\n",
       "nGVF0O3tgR+9+Waz/d3wPeRdRMrwMmcmBkAwGP5iwE539913NzvuuKNZbLHFrIj/DXPnnXea5ZZb\n",
       "ruuYL30YEzpgGC2rHwHEEpj9CxTdY97/6KOPOpSi52F+dAzPsVS1kIL/pJU9SRngcy8Trij/pEmT\n",
       "rBjJypESy0/Bp04sd6nPdysqql/aKvULbeQ+fO7fT7Pe/vfff7/9SNUVUlXl4+rx2GOPUbSDKnzo\n",
       "Tl8EwP/HP/4ht23j8eKLL5opU6ZEn4f1UbavQwqfy724IYGLG5uAPI/dP/744425A04KPnnEArYK\n",
       "H1r449EpPv2ij35+5iTvSmr5zAHmZio+3gh/+9vfkvGZzzntYe5AR2kPbfP7J+Px1luvOObH3GSX\n",
       "tcoqrzixbn0H3PyesKafY4437Yf/FSeaxg2J91rKl/K4JxQknyXqo0za8cQTT1tm8ZpZeunm92mu\n",
       "ud60TOcVt9NGB+y3j7769375sgPm+dtvv+JE0H//+9/d3JT2gPPOO832+/klFGWsfHABec43durU\n",
       "qY17noX09fG5BiR//Y72vOMWDfvtt58J/6644gpBK/w94ogjzJFHHun6+Jvf/MbNHfTB7IC7EuxK\n",
       "o+vglltuqf3whz+sWYV67bjjjquttdZatc9//vM1a0LfUVutLqNmGUZWXss0avbDm5zHrrRqdlIn\n",
       "44NLHgH7oanZj5vctv3Sd/tCtKXHElLwfRzrVhQrqjDdfjAK04sS7Uex9s9//rNm3RqKHrel0c+c\n",
       "sS6ivWUWbeVKAu1hfFPBfkBr9iNRiW4/QDX7gXbzlrmbCrSFNqUC+PylzrecsaINMXz6Rh99KBur\n",
       "362zQe13O+7so7s5YD/KLWllN4ytZYplKC3PytrTgjj7JnwPY/Pm/vtrtUMPrbmx5V3df/+a/abU\n",
       "ascfX6v96U/Nks8/v1a76KJajem32261mmWq0ff2scdqtX33reeVOfzUU9Nqm202o5HOJ2W77eo4\n",
       "dhrWLrmkWRdXZbTce+9abcqUOv6dd9ZqRx/N/ZSWeXPBBbXaWWe1lil3drHk2i/3Vb+Wcdbs4rYF\n",
       "LfXd8TPZzUCNb3YnYBcktZNOOsll/cEPflD78Ic/XLMi6No999zTSXHDnqfrRNCIS/7jP/7DXHzx\n",
       "xeb88893MZMtQzbXX3+9OfTQQ81Pf/rTEVnIqA64nMwxPWFRLtUBF1GlmZar083FzxkrWhXDH8s6\n",
       "YPEDLtIB+3pZdpS+dXSZDhjDJxHESShK9MnzztuMhIXx7vveV58r4H/+8815w1WVDpi2AGIFHeqA\n",
       "N9/cmC9/2ZhDDqnj+f97UQcM70AHfN9995nrrrvOXHXVVU66wE7aMmEXb9vv42hfd50IGhHSBz7w\n",
       "AWeth9hyl112scdmLWw++9nPjjattH6lgFJgjFIARgZzFfCNsHwGTDqaFkTT1vSkFLBEthL2FhBG\n",
       "P1tbY1UfTQbcgphwI20BVaygw2zYZHEs4QMPhE968x5140c/+lGn8tpmm21sAJP3mrXXXtuss846\n",
       "Tt3Wbb3qOgbM6R6s8A8//HDnx3XAAQcYK0pwDNiKoUeMfhqKspzUvs64HLOu42FFKjrgKnwWYb5O\n",
       "twrfihEb+lDBtSJvuWz7teI+typuexBJIOoXusgqEB2wFQ/bIPclUe6DgphrtCkVwEcfKzrgqnxl\n",
       "tCjKG8MXHbCfB30des5UYA74+veqfNCduZMKuXMHHaU/tuiAi0D8gNEBY0PALhWmhm2nz4Bh0sKA\n",
       "2c2WhaLkOUZQVq3udMSM59Sp+KvOcOXSjioGjA44BtIWntNWbJfQAVv1TksWdsG//31Lkrux4nyD\n",
       "rUEqiA7Yxw/p6z8bjuvPfe5zZrvttrNSiOnmRz/6kfnud79rjj76aHcoRrdZQNP/rmPANOqUU04x\n",
       "W265pfuIrbbaaoZJdvDBB5vtt9+exyMCvJS8aKmAIYH/Ilflg2mQRwAH8rKPMG1JZWCUmYIPDhMV\n",
       "4EXJAQ1F2U4tPv4Y3MCI+UsFPuowslQAn7mWOt9gnDkQw6dvfGR9YE6GH/TGc5xhA0DFlLpwICvv\n",
       "SA5+aXuCtnALDf33MDavYaowNBlbfwfsuyFJuvgBQ5tYKErqFzE07z7fgJdeetUy9JkNP+AqBlxG\n",
       "m5ABs2igPdTjwxZbGHPzzfUTnPz0XgxFua2NLnLyySe7hQO7XhZAH/rQh8w3v/lNv2tdc911OmAo\n",
       "g9sQzHYkGW7XjIg2RCmgFOg6CggDloYJo0XUXLQDDnfGki/8FQZsY2M4IB+WztQHwIDXX79+nfsf\n",
       "Bjx7fR0VQVPmsssa67JjzN13G3PWWcba3rSK23PrHW38dddd1/DXC9CVO2DEm1/4whfMBhtsYNZY\n",
       "Yw23G2ZVI7u1XiCstlEpoBSwFCjYBfciXXIYMEyPbvuMOdZnYcDyfObMAbfThhEDVTvgOlbxfxgw\n",
       "onNARND1u/b/iKGvvtqYO+6o1l2359aUTinQdTtgnLBxpj777LPNGWecYU/tWMCKZV4yF154ofPv\n",
       "Oosl2giAhqIsJ7KGomynj4aibKdJmNLLoSjZmWKfYn1TnE9tkQ6YnTHMWnbGZaEooY0wYAlFab3X\n",
       "rF54LqvKqFPOugdbn+CQis378ePHN2+Cq1AEbZvujFuLrNkRQ++xhzH8ohnDQKwXQ1EGJOj6265j\n",
       "wOiZCKI9ceLEBvEWt4dhogPGInqkgBctx91D3AhS2/ceCcY6OwOW3mUADXIgBd/HwVowB2KuKkVl\n",
       "qBtSEVWaaTnzjFy5+DljRfkx/KIPNwzVn0fkL4M5rcK0zHUmzMt7tdJKK4XJ0fvc9oTvIQvvIoCp\n",
       "wlyL3JB8HbAwPWHAZW5I1CMMWL4fBOdAV8sO2KqnnTiaQxtiUEZL2hKKoEM3JCkXVyd27daGqcGA\n",
       "e9ENSfrTK79dx4AJH8ZLeswxx5gNN9zQTXgsSi+77DKz55579gpdtZ1KAaVAH1FA3IOkS1U6YGHA\n",
       "gh/7FQYsz6kHhs5um2BqZbtfyRP7ld04z6tE0FIGzD6ws5NH+jsMFOhKHTDhxjbeeGPz0EMPOWdq\n",
       "XANsRCyz2267DQMJiotUN6RiukiquiEJJZq/6obUpEXsqlfdkNhJsqMUN6QyBgwuDBg/4DI3JGgk\n",
       "DFhc6Z555nmb913HgBE/SxCOGD3xEImB7MZ5DgNmZ13khuTnhwGLc0YvuiH5femF665kwPghXnvt\n",
       "tS6KyQ033GButjbyN954Y6UR1rnnnutE14iv/b/QNYHJ7rvdFN3jUoJPMlD0PMyPO4MECU/Bx/UB\n",
       "cZmUz8fbvw/Lpw9zzFEfrpTyU/Dxi0PaQHno3gVSykcPJlCFT19pe2r7ccnwDe6qyseFx3clAd93\n",
       "/Qjz40rju/2Ez8N7XGd8l5/wudwjsmMO0HbfpUyex+gF7cERSMGnD4j2gSp86B7Op7L7GD59o49+\n",
       "fTKmZeWF+Hg5pOJTH7rIVHzmM3MzFZ8+8a4LPu+8316h77RprzoGzDvK+BJbGUaLqPiNN15r5Icx\n",
       "v/76O9Z16kW3k+Ud492W8qU8uYcBP/vs265OxnOuuRhT/IDfsb7qdQZc1B7JH2svz4UBk3/atDcc\n",
       "A0aETvslf9geGPBzz9Xby9giGi+r388P7emvj0+fmKux+vz8XAOhm1Q9tT//DxDsspu6xsfogx/8\n",
       "oDPCwgqaCSBGWOyEOzHCYhI8YEO9rLrqqt3UVW2LUqCvKfD7dTawVj8rms2v/HnP99Ou7V3EKHvQ\n",
       "joMrrzQ2oIixQUKM+drXjNVT19M5Q+Qb3zDmS18y5rzzjPne98q7TgSqc84x9rCAOt699xprcGrM\n",
       "5MnGHiZfL3enncrLiD3FnYgFwV57GfOVrxgrQTTWsySGXU8/8cS6IdbHPlaON5xP2YCtaQ9A9hfJ\n",
       "w1nfaJbddTtg3wiL1RqrMIw8MMLKiaAzmkTVupUCSoH+ogA7XZiZANfsgBEc2U9UA2TXCb6f3kAI\n",
       "LkQELcmia0YHLDtgeZb7SxsxHgNEBF2/i/9nB6w64Dh9hvqJN3WGuujOyvONsH72s58ZjpT6yU9+\n",
       "4vS/I2mEpTrg8vFTHXA7fVQH3E4TM6tVwNarOmAihRLKMUUHDNNDrggDztcBv2CZ+vQh0QHDxH0/\n",
       "YCsIVB1wwRQdzaSuY8AQoxuMsND5aSjK+NSMhewryoEoiRB46FJTAB1VDu3Rt/o6Wuooax/t4UOa\n",
       "Cui00BNWgYairKJQ/XD4svCJYQno9nPwQ3uPsLzwnnnj2w/E5g3DDwNmkcUfzIxdZdEO2N8ZV4Wi\n",
       "xPsQ5v766/VQlK+88rpl3jMaDLjKCrqMNuzGaQsgO+CiUJR1jPp/dsBihNWLoSj9vgznNd8PviO+\n",
       "rUkn9XWdGxKdwEhjJ6v44E9BKaAUUAqMNgVgwDBdgZgIWsS+IWOWfOEvltL4/iL2ZcdMJCzckAB2\n",
       "sBzW0ClIW8gvDLiqLOqz6wuFCAUwDj7TKux/b0+v4JCQ3a1RwPeson+zzTaL5ChP7sodcFGTMaLi\n",
       "TEcFpYBSQCkw0hSAAfvMMMaARQecyoDpB3pg2XUiJIIBkz8SEyS569IWMqQy4CIdMIcnTZ2aXG3f\n",
       "InJC2z777GO+/vWvu/DIdJSDg4444oiO+9yVO+Ci3nAq0qmnnlr0aFjSNBRlOVk1FGU7fTQUZTtN\n",
       "whTceFZcccUwOXpPpKqcuYZbEeEfU4EIcLg6Cay88spy2fIrImiikOE4wi4R8W5obOUzZna3VaEo\n",
       "qQQGPGPGIvbIvBn2esAy+rmdDjmFAY8fP76lnf5NEQMGvyiimeTzRdASivL00+uLgpNOEqziX2i/\n",
       "3HLLtTyEvpTTD3DPPfe4ow6JUSHwyU9+0hx77LFOZZYTEU7yN2eepHTBLwY+MFu2+OhbGNSJEye6\n",
       "cx1Hqnm8aDkh/ySUXGr7whB4GoqySTk+0jmTuYj2sZCC1IJbGn+pMI4vZALwAeIvF3LmGWXn4sdC\n",
       "S8baGcMv+nDnjhW+omXhE8M2MbbdEIpSGLCEovR1wCIypu0wXf5kJ1sVipI89R3wAi7+MgyQKUT+\n",
       "FAZcRksYsOiARYQeC0VJOwCfAbMwof32c2ze//7687L/MFqMaH1IfXf8PN16zWLqzjvvbDkWFtdY\n",
       "3KaK3o2UfnSdCFoOY9jLOq/dfPPNzmqPMJS8iEceeWRKnxRHKaAU6AYKOFNgy436AIQBS1fY1PnG\n",
       "VpLOL88QIcOIUwAGLHFYxA1pKETQtAOLbJg5bfEXCrF2IWYXcTg4tGPy5LS8sTL7JX299dazR0Ou\n",
       "7yQ491qH7UMPPdSQxkl9LCw7ga5jwN3iB6xuSOXTSd2Q2umjbkjtNAlTetUNSRhwlRsS/RXGl+KG\n",
       "BD4M+LXXXnHW3s8/P82Ko99xjLMqDCV5J8MdIyAiaF//mxKKUvyA8Ua47bapLh617KQjVblkIl5N\n",
       "DZTFRMAKPRTKyuj2Zz/+8Y/tecnnmwMOOMDsvffeLjbF4Ycf3nGzu04E7fsBj+ZhDIRUywkShrgm\n",
       "R/yICNTXPXEvYf2KRhMJQNnzME8KvoSiJK+E3QzLid2LKC723E9ndYiIPbX9EtLOL6PsGjEolvM+\n",
       "lLUvd6wYV+qoAinXH9eqPDxnHHLygA+krrpzxzaGDx3CdjKmzLVUyMWnvlBdU1ZX7twJ+xTruzDg\n",
       "Wg39bM3tKGFKoQ6YtjFV2DnCgBmrqnkPA3755bmtWmTA4c4zzxyGSFspEGsveVFtswMW8TNpvBdl\n",
       "OlkRQdM32j116kL2dLq6ERf5y6CI9nzXUt6dsnK76Rmuhuuuu65B93ulHaSLLrrIRhrbq2MRdNcx\n",
       "YIiNH/Avf/lL8+CDD7pVIYp8DmPwld/DPSiqAy6ncExPWJSLlzBm3FKEn6tXLGIAqgNuUjZnrMgV\n",
       "wy/Sc+WOFR/pMr1ls9X1K8Z2JYnzGD4suM9tT8jcY/OGXSHrnjnmsD5DFjDCYmcJow2ljzBgYcyp\n",
       "OuBJk+o6YPS//KVCGS1lJw4zta+ggyodMIsB62ljv7fGfPvbc9kYzuPMGmvUQ25WtanfdcDs8GG+\n",
       "hx12mMEoGK+cTW28UFyTCBjVCXQlA1Y/4E6GUvMoBZQCw0EB9LLsZvkTgLnVd4mt6TyHAUsewS/7\n",
       "9XXAMO6QoZflLXtGO9gB+yLoMnyeLbKIMXffbcwhh9QxH33UWF9XY42PqnL2//M77rjDGqO939Lm\n",
       "ELPvvvs6RnySNQ3n/HrE7OFiLoUi3pRKQR87OKoDLh9r1QG300d1wO00CVN6UQcs4mf64uuAYW4i\n",
       "avb7CXOWHXBVKErywYBnzarrgF988WWb126tE2Fygg7YF0FX6YCpdvz4er9eeWW6PcTmLWMFkI6J\n",
       "VzWp33XAMFmksRgKX3fddWbnnXd2JGHDWCbWL6ObMuAIdSB2TjhEwtnlGBsQ3tAPgccRXP4RdmGz\n",
       "aAsfr1RIwQcHQwvAPy4spY5YyL6ivBqKsogqzTQJa9dMKb8Cn7mWOt+eeeaZ8gKDpzF8DCT5yPqQ\n",
       "G/qRcKRl4RP9srnuhlCUdFnEwiyy+APYYWK97O+MJR0GjFlCVShK8GHAtVo9FOVrr71pP/Dp73kZ\n",
       "LWkfr7fV5DkRNG2qCkVJe4All8TAa6bt91vWPiSNATMXwm9m+J2rl96b/zfZZBPHeNH/Lrvssmbt\n",
       "tdc2n/3sZ504Osf+x+99V4qg/QbqtVJAKdCbFPjjTtPMe99dyGzem81vtJod5Gy7t0YaF4QTt0a+\n",
       "bSJjGB/MLlWUDAMW1596KMrWAyxaKs24YSf+1FPG/OpXxh7jmt4eqoABP/TQHNbl5m3HvBFjj3VA\n",
       "n08Iyj/84Q8uIAf02H777V04yk5pMygGfM0117jDk3fccUdn7ddpIzSfUkAp0H8UeHPhmWb6G5YT\n",
       "9TjEdKic9bvhhu2dExF0YJjfjjg7hR2miLNzGHe0wNkP2Khbt1Xrp9rcwVflked1BjxgVljhHedW\n",
       "pQy4TplVVlnFBYZCBYc1PKEpBwODEkHjhEwUkI/Z05vxi7rtttsG05auyos1ZJXFoN9gFPDoB1IB\n",
       "XD9KDKurIitTKY8oLFgTp0IKPhHGxKUlx9KUNuSEBxRL1lR3BNoUhrQr6zd0C61By9qH68bSVcfM\n",
       "eBUyF6oilYGOiwcWxLjShRGBvOLaLpdZZpksNzDw6W/Y57aCZyeU0aIoTwyfvoV0YE7mvCfMgW4L\n",
       "RekbzxRZ6/siaLwjZGw/8pG6q09IQ3bAYoSVEoqS/G+9tYh9v5ew82Cc/Ut/z8ejsI0AxuPf/nYr\n",
       "8wU/JcocDPiRR+aynieLOvF7CgNGDBu+t+F3LtLUnkm+5JJLbISypcyECRNcmFHelYceeqjj9g9q\n",
       "B8yH4Pjjj3d/l19+uVNK8zEkQsjBBx/c5pvZcStHIaO6IZUTPeaqUpRL3ZCKqNJMyw0tmYufM1a0\n",
       "KoZftECsdPshGpYHveiG5Iugy/zLpZuyA0Y3nOKGRL655lrAMW10zeyIUyF1ESblpS6W7H7APPzw\n",
       "HHaHv4jzJ2ZnzlCW7er73Q2JwxjgbZxTP3HiRGefcPHFF5tddtnFGqs9ICTO+h3UDnjatGnm7LPP\n",
       "dkcxXXDBBeaMM85wsTLZnp933nlZDVFkpYBSQCnQjRTwraBT2ic64NA4qyyvuCJhNJWqOy4rb7DP\n",
       "rEDPiZ75BRC+QYexDH/961+d7nerrbZywUWQYMKQc88v92k4KAaMKTZWbpdeeqmzDtt1112dLxTi\n",
       "aKJY9TKoG1L56KkbUjt91A2pnSZhSq+6IYn2R9yQwn759z4DTnFDIu/73veKtVB+3loRv2p3wumc\n",
       "bnKJG5LfJrlOcUMC18aXMFddNd08/vjjLis78yoxdL+7IREI6q677rIGdk27Bsb36aef7sgHGMIO\n",
       "SgSNvmTrrbdu6KIYrPvvv9986lOfcoPWy//QQ2ooyvgIpojiJDdiRw1FKdRo/2WuhSEe27GaKaK3\n",
       "h64pUBausCh/DD8M20je3NCSufjdEIrSF0Ejcq/6LsCARQfMWFWFooSOCywwt3VDHLAiXkJSpu+L\n",
       "YmNFmUVQFYpS8tCHJZecw4bIrIcZZQFSxYCZjzI3pRzUT6m2H5KnW3/RZ3MYA/YyuCLhlnfDDTeY\n",
       "//iP/+i4jx0xYFY6BKD+85//7BTRopN67LHHDBbR/cCAVQdc/hrE9IRFuVQHXESVZpq8P82U8qtc\n",
       "/JyxouYYfkc64KArvaoDFj/glIWn6IBZH6XqgBdccAHr11036soIrd3Y/ARkjt6m6oApgMWPtD+F\n",
       "Afe7DhiaYISFvdNf/vIXZ3R70EEHOX0wzzqBjhgwq5wjjjjCiZ7XWWedhuUbk3MNAocqKAWUAkoB\n",
       "S4GB2kDP04Gdn/3kJQO7R3bNMOJUsMbVzmeXnTP5uw1SGHC3tXk42kPUq9122839DUX56bIOrzbE\n",
       "zFOmTDHbbLONM8G+8cYbDX8coHDrrbd6mL17qTrg8rFTHXA7fVQH3E6TMKUXdcAvvGAMDBJI0QHD\n",
       "eDGmwmI4VQc855yvWPznbfmvW5/g1mhj9ZqL/08eJh0wtWFcJDrgFAbcrzrgk60j9VprrVX6Vzw6\n",
       "1akd7YDRO+ALx2/o0+f7tlZX370YhPnjZUsFQubxAU71BcZ4DfoJvQhFiQinSMxHGwjxhugRcW4K\n",
       "pOCDgw8kuj1CUaLbSAVCUeKUngJ+KMoUfZBYFYY+hbG6COHJy++7ZNC+mD8r7WFsU32BGStWvr6/\n",
       "aFFbOKoMvZCcziT+okW4fhptYQxS9XngQ8dUcS6hJWO08Nsh1zF8+kadvhhWQlHi75oCEooy/G7E\n",
       "8nYaijJ17vCeE9tXxpZ5E/oCw4A32KDeQt5x8Mt8adnBElgDK2hCPzIPqt7bOed8w9L2basHnsOW\n",
       "j24/bctNKMrx1rc3FWgPEkwRLZflm2G34+Ajtk5hwBKKkjCNArw7Pn0lvZd+d7enUWy++ebD0uSO\n",
       "dsB87P74xz+aX//6184CDCsw+WOCKigFlAJKAUeBwA+4F6livS0tE01vOQzYqgnbYkSXlcDZvRjX\n",
       "zpgx4Pxuy3BH41kKAx6Ndo1EnSxeiQPNHxsm3JHk+he/+IWLBd1pOzpiwKzmWAEW/YVWcJ02TPMp\n",
       "BZQCSoFuoAA7YAJTpII9sc5uSIxV0aXmqBtfwYCJBT3XXK3BS9JLGT7MscyAhapsPFG7ipQTyQDS\n",
       "rr333ltQsn87EkHTEMR3rAYITu3Dqquu6t/27HVq+EHpICIsET1KWtkvg+i7niASKnNXSAkt6deX\n",
       "go+YThZMOeJn6skRaY5EKEpfLFrVPkS9qeJnymIupBw3RhsYU39cyV8FRJTLmTvgA4iDUyBnrCgv\n",
       "ho91NKJyH1iM51jWIjpPFT9TD+9VrD1+O+Sa9qWKw8kTvoeh+BkcdsB2v+EANVCVG5JVF1obmXoI\n",
       "yLnnXj5p7sw33yJWLTLDqhbmtX2u15XyP0f8THngx9RcYX3MeRnbFAYM7UPRP/RNeXfCurvx/k9/\n",
       "+pNzPyLeBcDc/MY3vuF0w4jaRZ2Y0/aOGDAfsH7XAfOi5bh75HxAZfD8gQpj7PrPuC7TOYW4qfh+\n",
       "mbKqKyqrKC3mqlKEy0e66MNWhEsaH2m/bTE8SS+iPUwzBrSHv1RIfbH4AIUMKqWOnHlGebn4OWNF\n",
       "+TH8og937lil6q1pByCLt/pd9f/c9ojuV0oO541Ve1uddzM6VbjQk3zhr6xTUnSt5J1vvgXc0Yas\n",
       "qagvFXy7h5Q8wlBTcNUNqZVK0O53v/udC8Qhi9+pU6eaydYQrugb1Jq7+K4jBszHlD8OXygKxIHF\n",
       "mIJSQCmgFOh1Clg7xcbudzj7guU0hlv8oUPuNmC9OtZDUeJiO3HiRCcR+/jHP+7O47777rvN17/+\n",
       "dbdp6GTMOtIBI4L+93//dxcH89/+7d/Mvvvu6/722msv8+ijj3bSjq7Lo25I5UOibkjt9FE3pIAm\n",
       "A8G9ve01N6SQAWOBHh46397LZkqqG9LMma/YaHHP24/6W9b9541mARVX7L5yIDUUJWX6bkjsyqsi\n",
       "YcEX2BH6gHcFlub9Aueff7654oorzEYbbeR4HvT/0pe+1HH3OtoBj4VAHPSxStfjUx1xTY74ERGo\n",
       "ryvkvkwHjIij7LnfFq5T8OmjiFJSXWCknlRRHPjUoaEohXLtv4yDPxfaMVpTwAdk7Fqftt/ljm0M\n",
       "n/kdtpM5mSN+y8WnvlBM3N7DZgo0Efo0U+NXYZ/CvqP/5Wg+AUTcOd8F2pLy3s47bz0UZa02p1WP\n",
       "FKxcpAHBb9je4HHbLe9tqk7WHyurdbTMta24loQi2vNdg2b9BLgkDZVb0oCdTB2b3OEXeOKJJxr8\n",
       "BikG/0pE0hxF2E3AJOC4qH4xEOsm2mpblAIxChxz+gpm2VeWN1/8z1tjKF2fbs+ZcbpZe77MsAJn\n",
       "HtiTXa0hljE//WmeHnhYGza7cBvy2NxzjzHHHjv8tXHG/Jprrun4yfDXNro1dCSCliafc845DWMW\n",
       "xM+srpCRKygFlAJKASgwiPV9VxAQ6enCCw9/U0QHTChKfIK7DRBBa4iHoR+VQTFgoqTgA8V2nBft\n",
       "m9/8prnooouGvpWjUKLqgMuJrjrgdvqoDridJmFKr+mAbYC6Freg4dIBv/POK9az5HnL5N7pSh0w\n",
       "ixBoUQZjQQdc1v9Ong2KAX/0ox91ImjO/j3vvPPMxRdfHHVh6KRxo5kHw4EcYwtC5uUYG+A3Rh4B\n",
       "QlESUjEGtIWPVyqk4IODoQWAsUQOELIvFfxQlCl5JBRlCi440C2kfVn7JBRlavmMFWEmq0BCUcKI\n",
       "cyLC8VGnTakAPv0N+xzLj4ooB2L4qJz4yPrAnGQhngoSijIVv9NQlKnlQ0P/PQznTbgDzh1baENI\n",
       "xyp499037E77NTsPZtj3vHquSXmEoswB2sO3JgUkFCW4KTtg5kL4zQy/cyn1dhvOqaeeatZbb73S\n",
       "v07bPChhx/bbb+9i5HJG4qc//WkXeHy//fbrtC2aTymgFFAKdBUFwh3wcDUOsTORsLoxChZ9TmHA\n",
       "w0Wb0S53l112MZtuuqlbSB1gjQHge5/4xCfchuhSaySQsjiP9aEjBvzggw+a6667rlHmQw895K7R\n",
       "AfNswoQJjWd6oRRQCigFepUC4Q54uPphjbdnM+DhqmFw5cKAEzfOg6uoC3Nz6Ax/N998sztu9zvf\n",
       "+U6jlZ/85CedcS9ShapgSo1M3kVHDBir4likohwXAK8dXXepoSjLhyQnPCBuKoS6THVHYA6FIe3K\n",
       "WkOEptAtqqx9uG5oKMo4RWO0yw1FyVHAA4GPBXOgl0JRhjtgopDlGJYRFjPF7WfxxRcxkybNsCdi\n",
       "zWP/0j/LIxWKEs83tFXs0lksFAEuXeF720+hKPnGcAwv48/paACqO1QYOS6oPu0G5YZEQaeddppz\n",
       "TGYFwGrgu9/9brJ/ot+Q4bxWN6ThpK6WrRQopsDR/7OCWW7acuaLJ91WjNADqfaTZuyBN9a3ePgb\n",
       "y4l3di1pz1Uf/ro6qcFqGa2RrbExjzvJnZ5nMG5I8CF4EmcUoI8mVOeHPvQhZ6sUC7Ga2jIYL+Ln\n",
       "Rx55xGyxxRbuSNObbrrJuo8d33EwjkEZYbElx1qY33uskxhO8xdccEFqfxRPKaAUUAp0LQWwneJv\n",
       "JJgvRCBeRTe6IMkAYQnd7a5IBx54oJNuXXPNNQbV6G9+8xuz0047mR122EG60fEvu95f/epX5lvf\n",
       "+pYTN6+99trufjCRsAbFgDkdYrfddnONQf7NwcWTM0OjdUyNYc6obkjlBFY3pHb6qBtSO03ClF5y\n",
       "QyrS/w6XGxLWwius8LwV875V6g0R0jP3e9tpKErqrTLE6gY3JM6lhwlzWBCRvBAbb7XVVs47J7Tg\n",
       "D2mZcv/rX//anHvuuebMM880O++8swvHDB/sFNKVDQU1YPl8yCGHmC9+8YtOJk6jCM7RD4AeMkfX\n",
       "w+4/Rw+AWNwP68d9Wci6lNCSPt1T8OmjhDPsJKSdX1/ZNXVoKMo4hRgHfy7EMetPwAdk7Oqp8f+5\n",
       "YxvDD8M2UqMfrjDeguaTXHzoMlqhKEP9L70YrlCUlDt9+oDVF89hx7WuX2xSLX4VG6tYDhhSik6a\n",
       "/OFYVTHgbghFyU6XjeCOO+7omDAuinfeeafTTct7E6NNVfqTTz5p9tlnH3Pttdc23r1TTjnFHHHE\n",
       "EU4CXJW/6PmgdsCcevTjH//YPPzww+bee+91qwJOjOg2YML5PpOsNn1/v6J7fFGXXXZZ15Wi52F+\n",
       "dA/yoUjBZzUmMXTBR5EvL1NRfnzyxIip6HnYnhR8DOkok/L8xUZK+WKEAIGq8DHTp2/CMKrwoYXv\n",
       "O1mFz67KX92C70OYn/aI/3NK+8FJmT8wKAzC8HX1fbrD+sN7PnT42AqEz8N78Gl/6nzjwxPOj7L7\n",
       "GD59o49+e5g/MMmy8nx85gDvYyo+7wi7mVT83PZAQ+aPlI/xpbRXdsByz/jAwGbNmtXAJ81/Ht5z\n",
       "HCHzWcoPn8s934/XX3+PFXfP63zCq/DlOTrOsvqlfMHnSD3edbkPn/v3jCvtl/IlGIfcgwvIPePK\n",
       "WMk9zzjKk7maUh/4APRiTCZOnNj2x+6zDGCGRx55pFONIn7+29/+5rxy2BwOFlCzbrfddmbjjTdu\n",
       "FIXdE+976P/cQKi6sIPRMdjteO0Xv/hFzRK44zJGIqOdGDV7StNIVKV1KAWUArMp8JXTl6+d8bWP\n",
       "9Cw9br21VjvuuJFr/q671mr77Tdy9eXW9N3v1mpXX52bKx/fqrdqfLM7gZNOOqlmmXfNLpJq//mf\n",
       "/1l7//vfX7Oi4pplnp0U15KHMuwG0/G7bbfdtmZ1zDVrMFazi7Ka3TC04KbeDGoHzG73jjvucCsC\n",
       "FNGsNvoFVAdcPpKqA26nj+qA22kSprCzwZUjFZA83HfffanoLigCosJUCI/LmzRpUiOr7IAbCfZi\n",
       "OHXASy+NDvjNFumJX3fR9UjqgDkRCZrEoBt0wMSnYEd64403WreuSeb222+3B0gca/a1R+YOFoiG\n",
       "RdAp3OiQ+B566KEuOtbJJ5/ckO7l1jEoBowPGhZhf/7zn935iFtuuaVzQ8ptRDfi8+LniBUQm/hi\n",
       "yqo+IaYhjwAiKF9sKenyS1v4eKVCCj44IorVUJRxyjJWKdFuwEGUnBuusG9DURaoMnspFGWRDjh3\n",
       "bFNDUfLuL7roa/YdfydprslsHalQlNRXpQPm+xR+M8PvnLR7uH8xNuOAIETgME02i4zdYAGVK2cC\n",
       "ExGLcxBYTB5++OEdFzsoIywmzS+t09oll1zidHZECMEyTEEpoBRQCvQ6BYp2wMPZJ6vatzupIHLJ\n",
       "cFaYWTY64Myw4pk1DB6dQCCcUYDP71133WXYFJ511llOr47+fjDAAoNdPnpf/gSwgerU9mlQDPiK\n",
       "K64wjz32mDn77LNdpCNpkP4qBZQCSoFepwA7YBvAbcTA2qdZBjxi1WVXVLUDzi5wGDLAk2CSqENF\n",
       "OoCh2k9+8pOOa0NqA/PFmpoDh2DoAkgxN9poI4P7kxjRyrOU30Ex4KGQq6c0cjRwNBRlOdVj4QqL\n",
       "cmHJqqEoiyhTT1tmmWUaFvFxrOYT8AGxKm8+Kb7KGStKiOHnhqKst6Z1R4eVcq+EoizaAQ9XKEos\n",
       "zF9+eYZ11yMUZfE4FqWOVChK6hYr6KJ2kIaFfDeEosSK37dUJlbFYGDq1KnGGnM1VIaIoAWYz0TF\n",
       "6oT5UsagGLA0oh9/edH4SwVxKUrFFxcSwa8K5B2LvS35w98UfB+HmK05kBPWDR/nlVdeObl4JrXf\n",
       "tqqMRbRnARUD2sNfKqBHSgE+QPzlQs48o+xc/JyxovwYPkwihNyxYtHAjiQVZPGWip/bnvA99OdN\n",
       "kQ44V4yJG08K0E9OpIT55kyhHFrSDtyQUkHckAS/agcsbkiCz2/qu+Pn6bZraIZ9z/333+8OITr6\n",
       "6KMbTWQ++y6ZjQeJF8qAEwmlaEoBpcDYokDRDng4KWDdbrs+FCWLkrEIMNp11lnH6XoxrGOReuWV\n",
       "V7ojeDH2KlqcptCpIytoQm/tsccehX/WLzil3q7HUTek8iFSN6R2+qgbUjtNwhR0ab3ihlS0Ax5O\n",
       "N6TFFnveijnLvSFCeo6kG1LVDrgb3JBC+gzlPf2DCf/85z93bk777befueGGG8znPve5jqvpiAF/\n",
       "4AMfMEcddZT5+Mc/bqZNm+bCcxF/k5dr9dVX77gx3ZQRPUKOXB9xTY74EREo4jKB8F7S5RcRFRGQ\n",
       "UiEFnz6KHjGnr7QhRxRHHcMdijIUKZe1L3esGFd/rGJjIOUiiuMvFRgH8qYC+PQ37HMsf+7YxvCh\n",
       "Q9jOMFxhrA2SnotPfaGYWMoq+mWuQZ9UCPvk971oB8w8yB3blPeWcmfNYkznaryTKX3w25uCz3uR\n",
       "2v5wrGDAZTvgItpXfddS2twtOMS8QBdM+GU8fw477DBz9dVXO0PkHBdUvz/pb72Xi3Bj/GFxxlFM\n",
       "m2yyiXvKxL/88svN17/+dQ+7Ny9VB1w+bjE9YVEuXkLVARdRpp6Wq9PNxc8ZK1oUwy8Ss8E4yvT1\n",
       "AxwK7AEf6Ry95WjpgG20SWtNW/d99ZqftfAkX44O2O5fnK9tt+qA7dBZ5l2nS9EaB8YOX/ChH3TA\n",
       "0h+YLLYyhCIl4AfBPgB0wKmLGilLftO3VJLD+yVW5wknnGB+9rOfub9jjjnGbLrpph6GXioFlAJj\n",
       "lgI25nCvAjs9dnwjCQjEMgQhI9m0Rl1YQg9BPItGeb10wUYTxosPMOcEcBzhZz/7WbPaaqtlST/9\n",
       "Pg+KAX/iE58wxx13nPnDH/5g/vjHP7rdMEc/9QOoDrh8FFUH3E4f1QG30yRM6RUdcJH+l74Mpw54\n",
       "iSWet2EUXymNiBfScyR1wNRdpgfudx0w0ozf//73Ztddd3XnDEOP7bff3m0+ue4EBsWAqRA9MCdN\n",
       "fO973zObb755J23oyjyIG8KwamUN1VCUceq8Y/0rsBzEoT0FCI+ZQ3sisoU6GP/0lbBO2sOHNBU0\n",
       "FGWdUoTZ5CPrAwyVsY1CsAvulVCURfpf+jicoSi33vo1u6N6qmtDUdL/Ml9g5kL43o5WKEraOtRA\n",
       "cA92vPC7rbfe2hlknX766S4QR6d1daQD9is744wznN73G9/4htMJf/vb384yXvLL0mulgFJAKdAN\n",
       "FIjtgLuhbaPZBhiwF8J+NJsy4nUTTMg/1pDFxVVXXZVlJBg2elAMGNHzE088YbbZZhsnAyeCDkZY\n",
       "mGcrKAWUAkqBXqVAbAfcq/0ZqnYjgvaOrh6qYnuiHDw5Nttss5a2cj4wcaBPOeWUZK8Ev4BBMeDb\n",
       "brvNbclhxABGWddee61ffs9eayjK8qGLhSssyiWWrCmuPOTHmj4MaVdUrqRhnRu6HZW1D9eNpZde\n",
       "WrJX/jIXUqwcaQNuM6GrTlUF/R2KsrX3zIFeCEUZ2wFjgW7Pem3tVMnd8ssvnzR3mMP2TFmnpslx\n",
       "oxrJUJR0s8wIC5eu8L3Fajjl3SkhYVc/QuROzGlOQkt1C/Q7NMDBwX5CzjW739133919zPCPwimZ\n",
       "45pWWWWVnGKGHRfCPPDAA2bVVVcd9rq0AqWAUqBOgaP/Z3mz/AvLmcNOvr3nSHLBBfUmD8Exsj3X\n",
       "97IGX3SRsYsEY6WcZViDe2YPuTdrrrmmO8FocCUNbW50wHvuuWejUBZMnD39mc98xlx44YWN9JyL\n",
       "Qe2AOQECn9977rnHrQDQA3M0U7cx4ByCKK5SQCkwNBRwLsAdL++Hpg2ppRA/6NZb8dut52AHbD1N\n",
       "FAIKsAO2+64xCeiA//d//7fRd/x/sYzGDalTGJQV9G9/+1t3MPGGG27o/IERwcGM+wHUDal8FNUN\n",
       "qZ0+6obUTpMwpVvdkDDuJhDGpEmTXJNjOuDhdENClMmmBqv+VBgNNyQWJ0XQ725I6IDxBZa/CRMm\n",
       "DIr5QsNB7YApgLOA2fkyETo9lJhyug3Qw+RI59H7oQNJBcTivq6Q+7KQdSmhJf26U/DpI5GJgE5C\n",
       "2vn1lV1Tx3CHogxPJAl1wn77cseKcU3RX0u5/rj69cauGYecPKIjlLGLlSvpuWMbww/DNlJ+GK5Q\n",
       "6oz95uJDl5EIRQnzJfqV9D2mA2Ye5HwXGKuy91roRLnMYfqbOq7klfZKOVW/vBepOtmisXrPe+Lh\n",
       "KGm3zE1pB9+1lHdH8Lvx96STTnJHEaJujcV9ZhzWWmstd1Yw395UGDQDJvTYr3/9axcPmriYNKIf\n",
       "QENRlo9iLFxhUS5eQg1FWUSZelpuaMlc/JyxokUx/E5CUYa95iPdbaEoOQbQTlFrBIXYeSnX5NgO\n",
       "uGxhF/aV+5xQlEX5q9JyaElZgzmOkPyIoGM7YBh7P4ai3HvvvV34SQzKYrpedv/f//73XYzo/fff\n",
       "H1IlwaAYMMyWOLB8YH/605+6SFixlzepNYqkFFAKKAVGmALWgNXu3OoiaKk6tgOW52P1FzekGAPu\n",
       "V5r4luYbbbRRtJssUHPUBxQ0KB0wPlAopgHEJ9/85jcNpyINNXD6RFlko6Guj/JUB1xOVdUBt9NH\n",
       "dcDtNAlTulEH/PzzrzkGjHWv6oCbI0ZEuscff7yZYK/K3JD6VQd86qmnmvXWW6/0DyIRGxq9cA50\n",
       "tAO+//77nfk1J10QG9OHj370o23Oyv7zquvnnnvOHfmEzlB0qjDD66+/3nXuIuzgRwAIbZgTrpBQ\n",
       "lHyAEVOkAFFU0BvIaSGv2WUlIpwiMR/l4W+G6BFpQwqk4IODfg06Q3dZTKWUz4Io1drdD0WZog+S\n",
       "UJShT2GsXaw6efl9cRzti/kCSyjKVF9gxooFZpUuEl9AwjWKDigUx8XazzxjDFL1eeBDx1Rx7jPP\n",
       "PBOlRVGbYvj0jTp9MayEosTfNQUkFGWqLzDvFcZJqSDtSZ07vOcElphvvoWdEda0ac86dQkHDqDv\n",
       "DIF3nNNwyk6A8vMQppN5UPXeMoeZP8xNvgOpcwHa+Ds0v+6ia9qDnjZFNI6bDfi+2BqaIJ4vAmjP\n",
       "N4WDCgR4d6BX1bsj+N34u8suu7hDhqDHAQcc4OI/cw4C/b300kuzQoeG/euIATM5mFT8hi+SMJSw\n",
       "otR7GBj+xF/72tfcQQ+crgQBCHlJwAIFpYBSQCkwlBR4++0BtwNGBwzAfBFJ2zWXQkABu/6yiz9j\n",
       "mQ6LluBhn96y0eDv5ptvdobG3/nOdxo95WQk4kuwgWLTmAsdMWB2G5x+VAQ5xjZF+Ulbf/31G8cb\n",
       "cvwTOyIFpYBSoLcogB/wQA/4AU+f3mTAhCWyJ6yO+FGEvTSyogceKwxYxgbJz5QpU5wVvHhdIDlE\n",
       "SiPSWsFN/e2IASNOiYlgQjP01IaEeIjxCHxNaMsrr7wyyzQ/LKuTew1FWU61mHi3KBdjiXg7RfxM\n",
       "fuZQqggRfMT2vliUtLL2IblJFT9TloaihAp16+jwQ8O3wBdR1jFn/y8IssccCKVmLXmCG0SXZWMZ\n",
       "oLsPYao4nLxI3J56ah6348UVady4lc1PfmLMV74Slly/Rw2U44bUb6EooQIHiSElWHLJVhoxN8L3\n",
       "Fvqmuj21ltZ9d2wMGU8Cb2yxxRZORXnTTTc54+PUb1vYq0GFokQndOKJJxp0RkxK9Bcc03TwwQeH\n",
       "9WTdY+CD4vu+++5zelUGlTjTRx99dEeDyUdCQ1FmDYEiKwUGTYGjzljOjH92eXPoKbcPuqzhLABh\n",
       "3nnnGavfq0e/smEN7PGquguO0ZxIw9DIusWaxx4zVmdePyEJsf1QQLeGoqRv6LPZEP71r391i374\n",
       "Et5AnW485xgMwc4555yGccFee+3VaNBgyqSDO+ywg6G8/8/emcDZVVQJ/3R39p0sbAnQSdj3TURG\n",
       "9tUBAWVEUBkFEYEZRwZ13B1kcEcdwcHlG1FGFhEQVBRQwajsi+whJBCSkJCN7Okk3enu953/va/e\n",
       "q1fv3vvqvu7X6SR18uu8u5zaTtWtU3W2QuY+ffp0ufXWWyPDlssvv7wnWYe0gQKBAn1Jgc1EiYof\n",
       "8KBBsRsS2i6uEbMGSKbAE0+Izs2imy/RGBCiB/KIvPxyMu6W9vSqq66KvH3uvPNOwSAYH2Ffw9sk\n",
       "WvSIAWMhRwWOPfbYaAeMG1JPrZTZVe+hgVlZWSBWJBoL4m521cjf+wqCG1I2pYMbUjV9ghtSNU3c\n",
       "J1iO5vmOsVJGEuYLWBITIN8X0OEtW7YuYroYYS1dOju6Tku/tYeihC4qhdegE6KGuKKRn0S9U2IG\n",
       "vKW6IZmxwDj84Q9/KJ/97Gcjf9+rr746Ckv5yU9+0qDk/q1LB2xKweUIEfTnPvc5ueKKKwQn5Z4G\n",
       "4sC6GleHT3/600KMaZjw8uXLo12wfRKFqUOjfhEp5NH1EELO1Y9l1Q2xuB1+kPuskHXoUbPeu2X5\n",
       "4NNGaA34uj2Yclydq3me9EsZIRRlEmXiZ/SDPRbSMcv4XJm+q4Wft2/T8Bnfbj2TwhVm1ScvPuXl\n",
       "cWGBJnnEgbSps7OlxICbmoZHVr5pbUDXl2deoC4+3y35bg6hKA1dtFvk4x8XdckRUY2hPPZYPB5d\n",
       "2jOv1asfNWX1l182He/UBv+Tbvl/psdlYftw/fXXR0bDeO349LPblh4xYCrDoEE5fcYZZ+gpGa/r\n",
       "MVXnu2Xkvr/tttuELf6LL74Y+QCyxYfJv/Wtb82dV70JMLbIE/IPhpcH3Emllgl7mtFbWpk++DZO\n",
       "XjFKnoUWH2Ee63g+WLtuaW00z5Noj+FUGlAf/nzB17WOyTzPIsyUn2eckSYvfp6+Iv80/CQf9bx9\n",
       "BYO0/bUpLwvo2zz+6Xnrw3eIrZgRQTc3c/Zzeo3yLDzJxcffFrykMczzWpCHluSVajCXUBCLn1r1\n",
       "R/8L/TBc21JDURrS4N8MjwMIuvHggw/KPvvsEy1KkYzkmbNMnj1iwGSCwpzTITiQgZOQ3BWyKSjP\n",
       "L3li/WwbYZH+oIMOijo5LS9iUk9DOeEADtSIsgzg9I4ozEwo4T7QI4yH3v8eNpfvbdWqdjWuKeg5\n",
       "t0OiYBwiHRqcY12YH9S7AKg1P26/PUFEBqq9ziA9x7c2fq38cOvpj4BEFmkstkhnn322vPvd745i\n",
       "VhBcph7mSxt7pAP+y1/+Eq0ITjnllGjlj7vAL3/5yx7RridGWPvtt5+cddZZVX+IBmxTeFbJ9g4o\n",
       "6Z4ILjNnzozakvTeTQ+TR58E+OAzyCjD4DMo0X+bezd/VlhYmae9rwcfXRk6M+prRxvyqb8dGrQW\n",
       "PrQhxB9Mzqf+jAFDCx982mB/tNQHy3wDbv2oh70gc9+799SFNhhw35t7owOmL6mTAfM+7Z6PmjYb\n",
       "8MGn/qbPauFjz+COj6z7NHxoShvt8hiT1CMxv2IgCxsf2jN2EvGLBLDxaSffoS8+dMc2xRefb7at\n",
       "rVN3oC0R821rm61zWXNqer5DaOCbPzsmRNa18A0dOY4QGtXCN+/nzJlT0R+Q0Kafe49RKzQ16d33\n",
       "9r0JRZmVn8E/9VRR6+CNsmDBgqj8X/ximPz3f4v29ZLoW/Apj7yA3tjExTn17v9Ib4h/cdFFF8nh\n",
       "hx8eHcyAVJZDiOqFHu2AH3744UgeDiMGMJxi59oTsI2wTD6sLjDCIsvsDmoAAEAASURBVCJWFuCu\n",
       "5PqhgQ8DtkWDNjPmfdI9BgV8bGnvoxfF/0jPBM2HmeT3lpQ/DAPxPeJN3ptgI+zKk/Bh1oibGMhJ\n",
       "7936+OCbUJSI4WACBnzyZ5LDWA6ohQ9zgZasFPmYa+EzYZnFiU/+TF70lwHyz2oP9aGvDNSqDwyV\n",
       "ehtIw4cmjF9XnJiGb/JjQrT1rj741IeJmjFRCx8mQ7QeA/XiYzzFJGSLYakDfdva2mqyz6wPY4C+\n",
       "sVUSWfXhO2Gc2rrFLHxTH9vXOAsf2re1DVX6D4xOQ9q4cbH23xQtrzw12ukZN4wfW8Vhv4cI9j1j\n",
       "AruWWvWHLowzxjLpa+EbYieForTLT6oPefvkD+2pvyu2TsofXfA552yUE05YrurDifLII4hpCVu5\n",
       "KrL/8CnPtMnN3zzvD7/UzRy7e+KJJwp/PYHyKKsjF4yiOCORoAYMHkJI3njjjXXkVE7SX4ywyjUK\n",
       "V4ECgQJbMgUQLCFtRciBPtNaa23Jze7VtkG/Aw/sVgnoOF2EinAi3wMP9GoRW2RmPRJBExUEtyNk\n",
       "44gNfvazn3kH6M+iJkZYbO1feuklIRQl4kuMsN773vdmJQvvAgUCBfobBeBo/Rza25t01xn7AaMJ\n",
       "4DpAfgq87W2omoZErkkwZBUuBKhBgbp3wIh6Zs2aFZ1cRIQq4JlnnpE77rgj0sHWKDfzNaJZFNz8\n",
       "bSoIoSizKZ8nPKCxZLXFuFm5I65KUiWkpQmhKNMoEz/P01ekSMPHOtpW5YCLSsQVUfI8DRgDtng4\n",
       "Dc88Rz2SVh+DY/9Sv7yhKAsFrOLjHXB7+5RMBowFeh43pC0xFKVNb/v6He8YqCfhtesYiU+S4tzg\n",
       "JJWcnWZrv65rB4x+jvBbF1xwQXRME/qLK6+8MvKRqmW2Xi/BCSXZGy5OvuXzodnHatVKB5NxXYuy\n",
       "0oBr6wpxQ7L1gG5a9OC+DIy0Pvg2Tl+4IaE/9AHaSd18IYn2to7OzQemkceVBz29rcNy8zP3TP5m\n",
       "MWDrSc37tF/qYhuppOGZ5+Dz5zve0tyKTH7ubxo+bXMZcN6+6o9uSN3d2CXEDHjDhu0yRdD0ay2X\n",
       "QZuezIc+360Zw/SrS2M7P/e6Hjck33Hj44Zk1wf9KCpEgIOB2AH7fjt2Pv3tmqNwUbEmAUZ/H8ch\n",
       "uk6oiwE/+uijqmw/Qfg9/vjjI0U0u2HOCT766KPrrEp2MgJgEx86QKBAoECgQG9SAIN1w4BNKMre\n",
       "zH9rzEv3F3pE35bRcjZ/qFn5tYE4FQSf+tvf/mY/znVdFwPGjQBHZGCvvfaKjLB+/vOfl/zmctUg\n",
       "AZmIIx/+8Ifl0EMPjSzOYPbf/OY3S6urhCS9/iiEoswmaQhFWU0fLGRx1cHK17bCrsasfMJYS1th\n",
       "V2LGd+BTjnFDSsKxn+FXnwfS8I0bkp0XVrsmOIH9PO0a1VV/C0W5enVHiQEPGjQ7cweMxTdW2b4A\n",
       "baBRLUCqSH/ihpRnLMyZM6dW1hXvcUPCstkHjBuSDy44dihKRPro0994Y0nk9uSbR3/E+8QnPiGf\n",
       "+cxnopDLP/nJT6Iq/o/G4oT5ch4wG9F6oS4dMDoQ9LQAIqWDDz643vKr0mHiz2EM1113nXzve9+L\n",
       "xLQM+htuuCFygP4+wUf7ABA55tH1IK7JIzpC5Gj7u3GfFcoMEVXWe5ckPvi00YiFs8Tfbt7c5xGx\n",
       "UkYIRZlExfgZ/WCPhXTMMj5Xpu9q4eft2zR8xrdbT8YkY80X8uJTnq/IlDpAEx91gakvberoIE5A\n",
       "bIS1fv3wKMaxee/+Ik7OMy9QF5/vlnyZU2mvb79St7S+cutt7vlufd188vaVS3vV3Kir3JYRipIz\n",
       "D9gQvu9975Ovf/3rkQsgLre43vYE6mLAFEhQamTjrPBY+TxGMFAFfHVr+etGiCn/9cQPOCXLuh4b\n",
       "PZtv4jyTEHm6k0otvVIenSj5++DbOH2hA6ZePpBXr5hE+1o64Dw61xCKMu41dMAuZPZVggU0k3Qe\n",
       "vSV92+hQlLgfsWPjd9Wq7bQ8t5Xl+zwLT1L52sQkjeFyqelXeWhJLnkM5lgM+NafvG0dMPfogbu7\n",
       "sZ/gbvMHAhch2YIm+I8z9nsKdTFgIl+lfRR5LByTKh/8gJOoEp4FCgQKNIoCSIiNDpg1A9cBek4B\n",
       "9MBbgisShlYcDoTLLaJndsG33HJLZHSMAdYXvvCFXFILm7J16YDZXXASUtJfTxkwlesPfsBBB2wP\n",
       "k+rroAOupknQAVfTRBw34P6mA160aInqaDsjvS874DFjwnGEphd7ogMmD3bAy5Zt/jpgjh/knIOn\n",
       "n346Yr60jQBUjz/+uPz617/ukRi6LgZMBRoJxg+YI56uueaaaIXRlych0TZEDHmMLQjbRhpfwOiC\n",
       "NAbWqMlglvEFdWHy8gUffHBMCEwTx9o3fzsWdK00GKFg+IG7mg9Qpzy0h24u7bPqR32wK/AF+sqO\n",
       "7ZyWDhxUKDBi/nyBuvgY6pj8wKe9bpvNe/cX46k8kIZP2+yQn+TJmPQ16gGfMeBrPAY+30ge/Lz1\n",
       "Wbp0jTJfQqTGOuCRIxdn7oDz9i20seOI06YkYAwzB0Bjn7Fm8shDG9JQH8rxAeqdp2+hvf3dsgNu\n",
       "a6uc53zK7W84RHwk3HKrFW6VOu66664acvMRjQB2YN1VrksEXXdpIWGgQKBAoEA/okAcBaugIsRY\n",
       "B4zlbi+o9vpRCzddVTDC8jAA33QV9CwZ+xwOYUiDngSMCgw4jarheaBAoMAWT4GOjiY1wCqURNAh\n",
       "FGXvdTkxOVLiV/ReIX2QE7pf3GyzII9rnZ1PYMA2NazrEIrSIkbCZZ7wgMaS1ddqENeNEIoygejF\n",
       "RzvuuGN05euukqevyDgNf0sMRTlixHjVVQ5U9594B/zaa1PUtqVI6IQfvCPyuCFtTaEocemyv1sY\n",
       "8OzZ22o0rM3bqu2qq64S/hoBgQGnUDW4IaUQpvg4LVxhUipcfuzj55Jw7GeZri02YvE6yYUjuCGV\n",
       "CZWnr0iVhp/XDamgoQKaHCOs/uaGNHDgSPVp5wzamAG/8cZ2mTrg4IZUHlfuleuGpN46Mn/+5u+G\n",
       "9I1vfCPS43/oQx/KFZ7YpU/Sfb80wkqqaHgWKBAoECjQ2xQgDKVu3EpGWCEUZe9RmHDuOYKG9V7B\n",
       "vZzTscceG4Wh5Bzgd+rBx1g++xjW+VQjMOAUKgU3pBTCFB8HN6Rq+gQ3pGqauE+wlM2jL8PS+9ln\n",
       "n3WzSb3HgpiACb7wxhvLFbW9ZITV2hpCURra9dQNCQY8dGjfuiFh4f35z39ejjjiCNljjz2iw4Iu\n",
       "ueSSKHSraVfeX0JO4vfLuIIBExYZd1uOyE0L2+pbRmDAKZRCD5knzBtRY/KGorR1oohp7Xu3WohZ\n",
       "fULamXQ++LTR6BHztJUy8ojiKKPRoSjdyFZZ9cvbV/RrVt8Ympt8EcX5hvsjLf1AWl8An/a6bU5L\n",
       "n7dv0/Chg1vPmuEKnWhYNfGdRlCeGzXOQam4ZaxBH38YrPhNJSOsFSuGZ4qgGQd5+9bnuyVf+hMa\n",
       "m2/Spw1pfZWWlu/Ct/55+8qlPZKF9vbB6qrW84hRae1xn1988cXR2QR33313dJ78vffeGx1rS3jj\n",
       "ngIR8S666CJ56KGHZNq0aVE/nXrqqXLcccfVnbX/V193EZtnwqADzu63ND1hUiomlqADTqJM/Iyx\n",
       "lgfy4ufpK+qRhp9XB5zUJibpPOETjQFfUl5Jz2BkdojVJBz7WUvLcGXwsQ4YN/vXXgs6YEMfFj89\n",
       "CUVJPk1NoyNL6Byni5ri6/rlMAuYsFkosuA48cQT5dprr4182PMtztKrQD4sDGHKeWIKuDkGBuxS\n",
       "JNwHCgQKbDUUMDpgBBDEiYEJh1CUvdf9Rg+88869l2dWTux0iVJ15plnRqfnEeCEcwqwzu4p8yUg\n",
       "z+233y433XSTPPPMM3LOOedEhwYdcsghWVXKfLdVMGBWQ3bUKToFXZRZ0SfdEw2IqD2cQ5z03k1P\n",
       "51AOhxr44BNhhvJZQYFPBBlWVDxLSo9OmkDq7CaT3rv18cFHZ8kKl3ZyqAZGBoBP/ujx9t57by98\n",
       "2gb+fvvtF4lya+XPipI0RJrxqQ9Rr9D9mTCo5D9v3rzoqMyk9NAe3aLZldeqD7Rh52bcf9Lw6X9o\n",
       "ipsKRhq4oCSV76afo0fKIXo0O0/3vXsPPmWwumc36b53719++WXBKjxrvNvjJw0fGlMmkeoMPhG8\n",
       "FixYEE12bv5R4/U/uz6kYyww7lz8pHv6CT0bseeT3rv0pY7sgpAS+OAvWbJKJ+YuHT/N2qYxOkZn\n",
       "6/V2pfa5+TM2iQbGztwnf8aOOWglC58IWIiGGTfs4hlLWfiG/owFxoC5d+vr3nMcIXMOouta+dNG\n",
       "5kEkCj75MzdxWAH5Gvx99lmi34RohK9BNcsz9WFMMSd96UtfovoVcOSRR0Y72oqH1s1ll10mRE18\n",
       "8MEHo1CRtBV9cE9E0A8//LB85zvfEU4/Ovzww6Ojcs8666weM3SqvVUwYI44ZEAbYIDbepmkez5k\n",
       "E+ov6b2bngEDk4cB++CTP/gMEPAZdExUDMKk9EzsDGoGedJ7tz4++EyEMH0mfxYQBnzyt8UutfCh\n",
       "P/lDI3B98O1webXwMRaxQzmCn1U/6mMvyGrlT7/AeAyk4YPHREof2b6iafgmP9pKHxjwwWc80w4m\n",
       "31r4LDjsU3DqxWcyZiHCmDXjjTFJm3fYYQdT/cz6MAbom4kTJ3rh009M6mZxSKKs+pv6mMVMLfwV\n",
       "KzboN9Ci9B+qY0J0UbZY859Uap+b3nxXthogqz7QHgbMmDCQhA/jZQzzx4E0tm43Cd/Qn1CULAzN\n",
       "vVtf9576wOgpw0Ba/tQJfGjpkz+0Z+HMmDT4Rx/NAgebBQ0MXYS08sx7xhiLPETHLphFrfvcvn/b\n",
       "294m/PUW3H///dFGjGMIzaagt/Iuc6XeyrEf5sNEZRse2NdUN+meQWAg6b15xy/vGVSGCfjgu/nb\n",
       "C4Sk9AxIA0nvzTt+eZ8X303fm/eGWZg8a9Xf/UBr4UNLl56mLH7d9NTHTBBJ7118cO1n9rWdHgYM\n",
       "2HWx30cv9T83vW/+Jj34dhlufu496Wzxm/vevc+Lz1hLzB8/YM3MzT8Vn4IVXHwWM4n5x+hV+Hny\n",
       "JxJWU9MAZZJDo52abvqq8nPrA+3z1IfxXAsfHBYnAOOzFn6x6dGPW79a9771N4vUWvmZ9zBgwNxH\n",
       "N/pf3vaY75Pdbk+BCFZsMs4444y6s+JMgkbBVsGAG0W8kG+gQKBALQqUF461MDfFe2JBE4oSAZlq\n",
       "MnT3tilqEcrsLQqw8zWSPfJEOsOCleMEZ8yY0VvF9Fo+gQGnkDKEokwhTPFxWrjCpFTGkpVVvg+w\n",
       "+rdD2tVKg9jeFhGDn1U/xHu2yLRW/owFd1WflIY6sHrnLw8gQoRGvmB00fYuOCttFi2S0qXhI4q0\n",
       "ReWkRbRqi7eT8rOfMQaMrt5+nnbN7iWtPklpqJ+PmNKkJRIWRugE4PjgB0UOO2yKeZX4i+jZVi8k\n",
       "IlkPt+ZQlJABlZzPt2ORrEeXd911l3BG7/HHHy8f+chHovN76TPO8O2P0KSDyQkW1x+r2bM6MUm8\n",
       "8MILsttuu/Uso5A6UCBQwJsCn/j+JJk6b5Jc+s1HvdP0NeKVV4og6dRgRwH6CQUwusPA06j06qnW\n",
       "D37wA5mmvroE48B+oL8y4BCIo57eDWkCBQIFtggKqEGz7uq3iKaERlgUIPrVlbq64hxf26DNQukX\n",
       "l4EBp3RDCEWZQpji4xCKspo+WMhiKYzVLn++wFgzBlw+acCnHN/D2POGy0vDp0zaaAO7FFxtfAFD\n",
       "HXR0vtDoUJQrVqxT159ym2bPnp1ZNSy4sfT1BWjjs5PDS4D+xIUqz1iYo25IeQA3JCybfaCnoSgp\n",
       "Y8mSvg1FabeL3S8MuCcGWHZ+jbjOp6xqRA36aZ7oIfNI59H7ufqxrKYhFrd1hdxjLJAG6Aiz3rvp\n",
       "fPBpo9Ej5l0lujpXt3z7njIaHYrStvqm7Kz65e0r+tVHf23ytfvVpkPaNf2QJw34gOm7tHzN87x9\n",
       "m4YPHdx6Mibz6K/z4lMeemBfgCaGPj5pOjsHaP1j62Pw09pu8mIc5JkXqIvPd0u+jGHa69uvPvU1\n",
       "9Ta/fBe+Otm8fZVEe+Y1n2/H1G9r+w064K2tx0N7AwX6iAKbgw74ggtE8DLROB8B+gkFekMH3E+a\n",
       "UrMa6VuumkkDQqBAoECgQDoFOA+4v4NK0NWSu7/XMtRvS6VAYMApPRt0wCmEKT4OOuBq+gQdcDVN\n",
       "9n/qaXnqm1eXXvQ3HfDKle3qgrS6VL+gAy6RQunSEYV0LT/JviJEJ2FJbdiUOmC7Hv31OjDglJ7B\n",
       "+COPsQVRY0zoypQsKx5jdGEizfCCcIRZxhfUxUSaqcgo5cYHHxw+MoAPJQ8Qf9kXMELB8MNE+qmV\n",
       "jjrloT10c2mfVT/qY4eqrFUf+orQobUAHBz/YcSusVJWWuriY6hj8gCf9rptNu/dX4yn8kAaPm1j\n",
       "krWBMZll1DNbdaCdOrYNMAZ8jcdIwzeSB79WfUw9zG9bW6eG9NQYlEXIGjeg5O1baENIx1rAGGYO\n",
       "gMY+Y83kl4c2pKE+dphXk0/SrwlFmfQu6Rm0d79bd55LSrc1PwsMeGvu/dD2QIEGU0CNTBpcQs+y\n",
       "JxJWcEPqGQ1D6vopEKyg66ddSBkoECiQQYEhq1bL5A3tUujun0yY0MVqNK1WyhmNCK8CBRpIgcCA\n",
       "U4gbQlGmEKb4OE94QNxUOE7O1x0B140QijKd/ptLKMqOyLpJrZwsYAz0l1CUGGCNGDGwws3JHFFp\n",
       "VbniMoSirCBHxQ1uau5329ehKCsqtBncBDekzaCTQhUDBTZHCnzy2xPkzN+vlgGHf1oO/8qV/a4J\n",
       "xKPQgEly2239rmpbdYWCG9JW3f2h8YECgQK9SoFCd69m11uZYVcX9L+9Rc2QTz0UCNqPFKoFN6QU\n",
       "whQfBzekavoEN6Rqmoij/sVStr+EooQBd3evr7AmD25I5T4MbkhlWjTqKuiAUyiLHjJPyDlCyIVQ\n",
       "lMnEJERdCEWZTBueMtbcEI/p2DE+731DFtYKr+iWlYafPxRlkfs2ldf5ecMbNjIUJQx4xIgWpX15\n",
       "lZDWdkMjdNh55oUQijKEojRjJ+k36ICTqBKeBQoECvSYAp/89ng583drVAf8KTn8q1f1OL/ezuCp\n",
       "p0RuuUXk6nKckN4uIuRXBwWCDrgOooUkgQKBAoECSRTIs2NMSt+oZ0EH3CjKhnx9KVCWDfmm2Erw\n",
       "gg44u6ODDriaPkEHXE0T90lf6YAJ8HbmmW7plfcwYI4itCOKBR1wmUZBB1ymRaOuAgNOoSwfpRtW\n",
       "LQU1ehxCUaZTJ4SiTKcNb7bkUJRRy7vLVtB9FYoS5vrww6L62nTag1MobKgICRtCUZbpFUJRlmnR\n",
       "qKvAgBtF2ZBvoECgQIkCDxx3onRojOy+AqJcDR9OLOn0EuOTkDI4dHrS8CZQoFcoEBhwr5AxZBIo\n",
       "EChQTYHieYS6DZ38t4dl9evzq1Ea9AQGrAHYqhjwVz67WC487sGoVHbAgwcHBtygLgjZelAguCGl\n",
       "ECmEokwhTPFxCEVZTZ8RI0ZE7kR5XIrIhdCShOv0hc0lFKUo/21S/oYR1k6dXfL6/Pmyze679Uko\n",
       "Sj1cKHEH/ObLc+TpB+N9Bwx4woSRGoqyzIRDKMryKBw0aJDsvPPO5Qc1rkIoyhoESngdGHACUXhE\n",
       "zFf+fCHPBEqeo0aNqsgaP9ksGDduXNbrqnc++DYOMVvzwPbbb++NPlhjAtea2OzM8LW062a/S7pO\n",
       "oj0LqDSgPvz5wujRo71QmYDy+IKbTPOMM9Lkxc/TV+Sfhj9mzBheV4BPXzU1Ncm8AS0ycOiQyHd5\n",
       "woQJFXlk3Zg44lk49jtTHz3VL4py5YqgN2xskaGyWl55RfTYPxjw0GinbPLIGjfgsMjKA+PHj/dC\n",
       "TxrDPgnz0JL88jBUFpK+9SdvGPbYsWO5LIHvt1NKsJVdBBH0VtbhobmBAn1NAXbACKP78lQkRNCE\n",
       "mXQZ8Op1g2W75gXy+OMxA86xDutrsoXytgIKBAac0snBDSmFMMXHwQ2pmj7BDamaJuaJEfL2lRsS\n",
       "DBjmun69qUH8u6ZtkOw14FlBRI0R1oYNK4MbUiWJSnfBDalEioZdBAacQlpCyNUKS2cnRVyTR/yI\n",
       "CBRxmQH33jw3v4ioCOPnCz74tNGEM8zTVuqQRxTXF6EoXZFyVv3y9hX9avdVWh+YfBHF8ecL9YSi\n",
       "pL1um9PKy9u3afjQgTbakBVacsnOnXLR7xXbckPKwrfzNdeU56przLukX8Ya9MQPmB0wjNYGdsAj\n",
       "mlbLmjUS4YwaNbCiTWltN3kwDvL2rc93S770JzQ236QpM+u3Vn3dtHwXvvXP21eG9naZtMnn27HT\n",
       "bE3XlV/T1tTyGm0NOuBsAqXpCZNS8REGHXASZeJneXW6efHz9BU1SsPPqwMeoExw6nSr3cqImaTz\n",
       "6C3r1QHPmlUtgmYdsK5dz/9tXilvqkeUuvrLttsODzpgq4vsSxY/QQdsU6T3r/23VL1fdsgxUCBQ\n",
       "YAunwDK17Vu6jVpEKRSsnXCjm210wLYIGsOskUM7ZHgT0a9EuE+wK2t01UL+gQIlCgQGXCJF5UXQ\n",
       "AVfSw70LOmCXIiJBB5xAEzUgXzliXfQCY6y+1gHbRlgrVigDHtYuQ5vaIhE09xs3Lg064Opui54E\n",
       "HXAKYXrxcWDAKcQMoShTCFN8XCtkn506hKK0qVF9vaWGoixEps+015hgifRVKMokHXC0A1YGPLxp\n",
       "TcSAV61SP+WmVSEUZfWQjJ6EUJQphOnFx4EB9yIxQ1aBAoECFgXKfFcK6gu8qUXQ7HhHDeuQYSqC\n",
       "5hqX3hx2jVbDwmWgQO9QIDDg3qFjyCVQIFAghQKRH7CKn21r6BTUXntsdMC2CHruXJHtxqzVHfC6\n",
       "SAcc9L+9Ru6QUZ0UCFbQKYQLoShTCFN8HEJRVtMHFw8sR11XnWrMyidbbChKmqli6EJRBE0gDlxS\n",
       "dtlll0oCZNzhgpRnrOHGs9NOO8nLL8d+wIidDTz6qMgpuyyNbtUwX92bsILetqK/alnrY4HOgsIX\n",
       "qIuP2w8W5oh8EdHjRuULra2tvqgRHvhJ1uxJmVDvPJGzoP2kSZMqsoK+Pu2vSLQV3QQGnNLZwQ0p\n",
       "hTDFx2muKkmpghtSElXKz/K6FeXFz9NX1CoNP2nihqHWChtakPJxhH3lhmR0wGYHDCNeuFBkyoEr\n",
       "RGN0KJOLY0W7PsYhFGV5XAY3pDItGnUVRNCNomzIN1BgK6fAtob7bQI6uCLoJ58UOfjgss4XBuyE\n",
       "Y98EtQxFbu0UCAw4ZQQEN6QUwhQfBzekavoEN6RKmqzSoBtA1+NPRbGgue5LNyR2wWYNAAM+9FCt\n",
       "QCHejcOAOf9kyZIlwQ2JjkmA4IaUQJRefhRE0CkERQ+TR9eDuAYdiC8glrV1hdxnhazzCS1pl+2D\n",
       "TxtN2Lt6QtrZ5WVdUwanPWW1z04Pfh49GGJQTtyxYVOGorT71a5T2jVtzZPG0Mb0XVq+5nnevk3D\n",
       "Z3y79cwKVxi5IWklBrWti7TABWV+WfimvvYv5bliYvu9e23GDjvgHXbANzv+e+IJkQ9+UBnu/DjF\n",
       "H//ISUhEy6psU1rbTTmMtTzzAn3lM+7NGKa9vv1KnWrV19Tb/IZQlIYS/eM3MOCUfgg64BTCFB+n\n",
       "6QmTUgUdcBJVys/y6nTz4ufpK2qVhp9fBxwbK3UXF0e4IcFc+iIUJbtf5ZVq8CUyc2YclhKGvKRI\n",
       "9kWLDP0rjwUNOmBDF4kWWyEUZZkejbgKIuhGUDXkGSgQKCCju4rGV5tglmEHzHkYnCfP0YNveUvo\n",
       "kECB/keBTfBp9D8iJNUo6ICTqFJ+FnTAZVqYq6ADNpRwftVtpyXyA+7bUJTsgGHADz5Y1P+aallu\n",
       "REEHbIhS/Rt0wNU06e0ngQGnUDSEoqwmjLooyq67ijz1lEgIRVlNnw0bNmiA/5VRTGiYsS9sqaEo\n",
       "jeXV0HVtMlF3w+iA+yoUJTtgw4CNBTT9gS+yGgyUuobvfJ2x1NKntcY1/Zqnb998883Iv7dUYMpF\n",
       "m56buEbPSGT8MI58YenS2K/ZF5/6UI4PhFCUPlTqGU6/ZMAP6pL19NNPlw996EPqu6fOewoM+vPP\n",
       "P79nrQ2pe0QBDFf22gvdUI+yCYm3MgrEmuC+bbTRAe+xh8iVV0rFkYN9W5NQWqBAOgX6JQO+Ur+Y\n",
       "r371q3LiiSfKKaecIovUYoKV85w5c9JbEt40nAK33ioycSKuJA0vKhSwRVEg3nH2dSxodMAaiEnO\n",
       "PnuLImZozBZEgX63l0EEQ/iyfffdN/rbQU0XzzzzTPnlL3/Zp2QPoSgryY0Yj8D1GokvYsB5wgOa\n",
       "Q9VxtfABXDfckHZZ6bDOdd2OsuqH6wbjyhcYCz7h9EIoymSK2jtgxkCjQ1Gef/6+cvjhsQg6uUbl\n",
       "pyEUZZkW7lUIRelSpPfv+x0DZjKFCX/nO9+Ryy+/XI477jj54he/KO9+97sjX9LeJ0FyjsENqZIu\n",
       "7H7f+97YoEVD1qa6qlSmiu+CG1ISVcrP8roV5cVPcysq16DyKg0/vxtS8SBCo3JV/WtfuCEtXx4H\n",
       "4PBZ77k+xsENqTwW8EkObkhlejTiqt8xYBp5++23yz333FNq76mnnhr5Dv7pT38qPQsXfUeB114T\n",
       "4e/440UeeyyIoPuO8ltGSYWiogsjrEYD9kWjR8fBN3wYcKPrE/IPFMiiQL/UAc+fP1/uvvtuDR13\n",
       "qOy5555ywgknyB/+8Af55Cc/mdWWXn0X3JDK5LzrLpFzzhHdvcRiPXTAwQ2pTB9zhaEg9grLdQvG\n",
       "ny8w1rCC9QXwKcfXAvbVV1/1zTrCS8OnTNcCuL29XV5//XWv/NEBNzoU5eLFG1RStiEKQYkOuAqc\n",
       "RUBwQ6qiUOlBcEMqkaJhF/2OAXfrR4oF9HnnnSfTpk2T6dOny60q/0SPiEi6rwA9ZJ4wb4hr0kJR\n",
       "HnKIyIwZlTVHLGvrRN37SmysOId5hbQz6XzwaaMJe5fVVixKObwcYFcBA3Z1rvHb5P8po9GhKKGf\n",
       "DVn1y+orOw9zTb/afWWeu78mX3RnPjpjk55+IK0vgE973Tanpc/q26Q0afhu2EbS1got2anN+u2/\n",
       "lK32auG79YEurpjYxbHv16xpURuSJl3QpOiAmyqnPLdNaW03ZTAO8vatbyhK+pP6mG/SlJn1W6u+\n",
       "blq+C9/65+0r6s3YtIE2+Xw7dpqt6dr/q+8jqqD/3UN9B4455phSiRx3dumll8p73vOe0rNGX/SW\n",
       "DhjmtWpVLBKz6+xOKjCoLKh15Jub1gffxsEYJQ10k6OTffwWPgEDTtMTJuXBR1jrnFU7HR+sXTf7\n",
       "XdI1iw0XsnR51Ic/XxiNTNMDmDz5ywt5dbp58fP0FXVPw69HB4wv8DAcyKODgRuvA25rG6gGfKK7\n",
       "8hQG7HSO+x1mjRuSZi3snKyjW18datIYTsrPfZYnrCdp85zvy+LHt/7kDWMfO3YslyXw/XZKCbay\n",
       "i37HgOlAVlKf/vSnNXzcW6IBjziPXfAHPvCBza578JyaPFn0xJXNruqlCq9fH8fS5QE7YIywAgQK\n",
       "+FJgHboL60xg33T14LHYHT8+6IDrod2WkIYgI1//+tflz3/+syxbtiyyHdpvv/3kP//zP1MXlpuy\n",
       "3ZXymE1ZE6vs2267Td761rfKSy+9JL///e9l9uzZ8rnPfU6tcNUMt4+gt3TAMODddhO17K6sOPq7\n",
       "VcwWRSBCDbv/NEDPhr7NF3zw0bWbqDuvYWWVAgTmMZIlI4IOOuBqYgUdcDVNoie6C95Twz/2hQ54\n",
       "6dIOXSSuSNcBO1UMOmCHINbt5qgDvvjiiyMXQ2yI4B/33ntv5EGDWrM/Qr9kwBwth9sR7kfXXHON\n",
       "fOELX4gYci0CsvqBcbp/HB/GYDJAiLVa94QHZAUF+OAT0o4/Fx++tvPOXZpXedtIfuRvQuCZe2OI\n",
       "k1QeDBoDFjf/tHsffNoHHSiPiciAW/769d0avS+mHwx4w4auipB9Lr57TztZcBBMJa2+dn+s1y03\n",
       "9Tfg5ufemxB+Nr6JoJZUHvUxfZv03s2fvrKNj9z35t6EomQc2Isr896un91eJDym733qAz51Shpv\n",
       "SekxnrLLq1WfNHwWiPSNnZ4xSd9m5U/ox+3ma826C9EYYKxl4dv5m7Hji79iBScurVTDzS4VicYU\n",
       "t/PjCbpNkx80pG/NPaEoXXz7HlzSGHzys9+794xjFs618BkvZhwzFmrhm/fQPqv8pPpQlknvvrfv\n",
       "yZf6++bPWOC7svFNu3zKo2yA9PUC3z1MGEkq/YzKgIBOqFUYu/0N+iUDZnf14Q9/uMIK+qqrrqoY\n",
       "NEmE/N3vfief+tSnqv5gwGayIh3X9gScdG8PmKT3bnp7ArXx2QFvt12bfuRlGTTv7d0s9/bgsNOb\n",
       "+hrmZe7d8t37vPjka8Atv1Bg0l0RvUYH3Nm5TudU49xZm560zTZEcfN376FlnvrD+Fx6YsxnwM2f\n",
       "+pjFDDjue/eeCSGtf5PSM3Zq9afdX7SVydeAW757D76RXCSV7+LTV3Z57nv3Pi8+tE7Kv1Bs0IiW\n",
       "CbLtxl1M86LzdJPwDYJbH5774q9a1aTBYjrkK19Zoow4ztHNb+D221XkBy198ydH+jcPPmOnFr69\n",
       "wMtbH7d9te4bnb9bPt9Crfbb76EXY4qQxO7fHCbUDGCne+6558pNN90UubLi0gpPILCPayCWkU2f\n",
       "vep3OmBjBX3dddfJ9773vcj6l9X+DTfcEFlBf//7308lzjnqK8OfC3epH41tLYgBjs0Qku4xBDKT\n",
       "XNJ7Nz0GCIZp2PjsgE84oUUn8DJD4L1t6cg9fwbs9Dzri3tTdnJ5oivKuH7sgAcNqly31aoftHTp\n",
       "lXUPLbPeu+VhLOLS07a8dPF55+Jnlce7rPxM/mblTt72AsW8NzR278G1LVPd9+59XnwWoPbk4+bn\n",
       "3qfhm129iw99EvPXNVqHGsUOGDRKxnWOiQ5jgAbUPxG/SCDv/BPw0eLss09XZv7taihnl8/4se/d\n",
       "8t17+jcPPmOHMgy4+XFvG+/lrU9SflnjmbGWp/5583fx85YHLRiD9913nyFZ6feoo46S1tbW0r17\n",
       "cdlll0XSUhj343oOJUZgRxxxRORZ4+L2i3ttaL8CXQkVNPRkVZ10FVU47bTTqp77PNABUJg5c6YP\n",
       "aglHxXwF1ZGW7mtd6KqtoBNUBdq6dYXCyScXCs88Uyh8/OMVryJc0hjQVWNBV8HmtupXRUEFXXlX\n",
       "PU974INv46joLS0r7Y9CYcWK+PUddxQK11yjX4d+IosWpSapeKELmYL6lhaUQVU8T7uhndTNF5Jo\n",
       "r2LU1OTUh/71BRW9FlQUWhOdMaqLxYLuZqO/mgmKCNSFOvkC+Py54y0tvYrl0l4lPk/Dp2200Yas\n",
       "vvrk9YMK+60eVPjnXw4rTC0MKrxww8+jMaAiaDuLzGv6Vm1AMnHslxde2Fl45JH0vn362v8pPDZu\n",
       "+1ISaGh/h1njhkT0Ld+qL6iI2Ou7NWOYfnVpnFVWHlqSz9y5c73HjUqJCtTfF1QKVWD+tsH327HT\n",
       "qAS0wJxdDzCHXn311YVf/OIXheeee65w5JFHFs466yydg3US7odQXpb1i+UAO63+YQXdG25ISEt2\n",
       "UckbXiyWvVVEadf9oT+7IWGEZTbo7IBjNyRE0X6DhhVxcENKp1Vet6K8+GluRWk1SsOvyw1JCyno\n",
       "Tvjt93KBfrYlskxNK9t9jnvOZNwIPAE/4NZWDVieBawfi+B+h8ENyVCGU882Pzekj33sY7L77rvL\n",
       "nXfeKV/+8pfllltuiSST2BP95je/KTeun1z1OwYMXbCChoAvvvhiZOCBjypW0FhGb04AA2bu0PDW\n",
       "VVbQ/bkd1FulN6VTZFwraIyxMXDphzYN/ZmsW13d1jYr55Uis+OyD4CFLt9bKjiRsFLxwovNkgIY\n",
       "EF5//fWRESTi6AMOOCBqByJ3DPrq9bduFDEqlXmNKiVnvuiIXCtodLh9eR5wb7ghwchaW+MdsNpZ\n",
       "qdC2TAisF41Ojacqcu03bkgsFNV2IQI7CAcPUGWxAx44sCNy9Yixsv9n4D/77LMVhk9ZKdC94yLl\n",
       "C9ARetqQFk4RHBX3lc6ZttOkXWMZi2FJLcCQhglAxYhbfSjKBY88KsPV6pkh32SNe4zfVAxai5Sl\n",
       "99CdseMDODp0dHTpt+Q/drDItvsWl8cswB7FNhjKwuWdjzsgeGYMq/i/wuCPd1kwh0kmBxBZkLnG\n",
       "BzA2mzdvng9qhKOic1mwYEEFvkvfipcNuCF88b/8y79Eut+f/vSnUQnXXnttNPf0N+ZL5folA07q\n",
       "F8QKX/va15JeNeQZKybbcKtWIYhrbEMK8DHAYges6wkNxSjqHoWBCJMEIt3KEG3uvVseg8c2rHDf\n",
       "u/c++LTRGCPZbX3uubjO5GmLn7lHBM2z4cObvBkwZYRQlFAvGegH20gnGav8FHzGC38+YPdtT/AZ\n",
       "3249GZNJE9v8399TKqqlaJGOH3AafgnZuaA8V0zsoJRuMcAaO7bSwKv0MuXCbVMtWmFQhVGRL9BX\n",
       "Pt8t+dKf1Md8kz5l1Kqvm8eWHoqSs+Tf9a53VTSbaF433nhjxbP+cqP7mc0DGPRpuqlGtKA3dMAw\n",
       "YHbAAJEe2aTp0bJ6sITIaaeNil8U/3d1wDGTFt0t4EcsuUIzkqVPKEcbx4SihLlS7wkT4opxr3NI\n",
       "CWDA1G306IHeImgmlqADLpGw6iKvTjcvft7vJg2/Xh1wlzJpaYq9ABqpA0b8vM02zV5j33SCy9yD\n",
       "DthQZvPUAVN7Du+xAbek/gr9cgdcrx9wfyKySjnV9zdmuNSL89+R5uy9t2h0lto11SAucvLJogEv\n",
       "auP2Jga73732Kut3YcC6KC8BImjE0oRfVslygM2MAsXNaMNrvXz4Gnn+LbEBVvuwgrRxmIeKpBsJ\n",
       "7IAz9b+NLDzkHShQBwX6HQM2fsCb+jSkenXA7A75M+Jn0ycwYNQ1hKVETfLcc8sydcBqf6ZHMZYZ\n",
       "sK8uyZTng58UivLpp0VjcFcyYFvSifQNBtzdvdZ7Bxx0wKZXkn8Za+ilfQF8dM2u3jstPfrwWbNE\n",
       "A9uI/PWvaVjl52n6c8q0A0aQggAojDUXloxdKUsm6lNVv6zctiCLuVZopA4YBjxs2MZc9gOujjLo\n",
       "gON+4v/NUQdcrv3mcdXvGDDh7sxpSOgr0J8gKuU0pDzGGz0lP4YZeYwtYDKk0fgh8tnPxswW/a8B\n",
       "GDDiZH5POkn0vOPOyCrPvCcSkj0Jq62ETJ0qOtHGGNTFjt5k0qX9+uCDw0cGMBEBf/+7yMEHxwZj\n",
       "uBm5Imh2wCRpalrnvQNmksbwwwQqiQrK+I865aE9dLMNacgaw6k0oD4Y0/gCBjIYhtUCcBi/MCmX\n",
       "UWWlpS7UyRfAp71um9PSwzjVO0M++tHYuj0NzzwHPwloG4Y2NjAmE416EqyNC/qMMeC7cKAcvitf\n",
       "fETQI0ZghJVuZFRwduHQkDIMZI0bcPL2LXUxAVpMGUm/jGHmAGjsM9ZMHr60MfjUh3J8gHpn0dLN\n",
       "g7Hgfrd8OzZ93TRb+32/Y8C2HzBhxAimffPNN0cHMWwOpyEh4mPuZ7fb2loeXkYErSFJ5ZRTREOs\n",
       "Da+wii5jxlcYY06ZEjNgnSP6BBCZs5lBTK5G57ogiBmwLYI2RliDB3d7M+A+qXwoJJUCs2cPU+Mk\n",
       "kV13LUs2UpF76YXGPJDOYihIBM/4ArvMr5eKKmUDAx49uraYW6sSIFCgX1Cg3zFgqNIfTkOqt3dw\n",
       "NWIzmSaChgGzMx41qkuef14tmlIAZjhRxXYwck5hfPnloSmYvfcYb4999xW1wizreNn42SJoY4Q1\n",
       "ZEi3twi692oYcqqHAvfcM0He//64T50NbD3Z+aXRD2F7VbVge1VieAm7Yr/M/LB08+jFgP1yC1iB\n",
       "Ao2ngAoU+x8YP2B8gTcVYA3pWiZn1QVrStwx2AGrZDdiwK2t5RQ77ijy5JMi/AKnnz5QHn10aGRo\n",
       "xT2m8sZdASbO7hMGjDHWcceJ/N//Tdb8m+Wd7wS7Nuy000413VTsAOWTdVXwy1+KHHRQnDdGVmYH\n",
       "bFtBGyOsSZNGee+AoQv52/GUs1qA6wZ18wWsc92D0qciv08BXDd2QCThCYwFH9cT6oDbjOuqU6uY\n",
       "HXVQJLnypKUDH/BxV5kxA7HpuEjqgl2BDwNOox3W0a6rHRbuSYe8276/9p6UMbAL4eE8ge8qrT5u\n",
       "FuyADz54kDD2fQHrf7u/alnrY4HO7t4XqIvP2GEMI/JFRM/494VWe5LxSAR+kjV7UlLqndS3Sbg8\n",
       "Y2y43y309Wl/Wp5b+vN+yYD7A9HrdUNClYfPL8yLg8ENsKu0v9tTTx0W7UpmziQIh2jAcE1UBFQ0\n",
       "Opfral53D7p9+I//4MSeQRqcJPYlRpdXC2wXozRcG2ft2m3lqadEPvOZGBsRNKoxdsC2CNoYYW23\n",
       "3QivyZzcghtSWg/Ez/O6FeXB1zNM5MIL8feO3cl8GHBvuyEVNCKWDuMIGumGxA54/PgBwQ2pSOuk\n",
       "nzwMlYUJGwNfgNGiQrSBwxACpFOgX4qg06vb/9/AsBiD7F6zgHFJUI7zz0fkXokJA4aJw+z0UI/o\n",
       "mvyYTP/2t0rc3rhj137kkfHuaI894hyNm5ErgjZGWOZ9b5Qf8mgMBTD64++00+L82Vj5MOBer41u\n",
       "GNkz9o0OuEbtGywGr1F6eB0oUEGBwIAryFG+qdcNiR2wDwPGevHww9vksMPiSRFrQywgAURpKnmr\n",
       "AFw9JkxoV5yKx6k3edyQ2K3vtdc6FXOXs4PBEg1y2rTqQBy0ce3aJd4iaKwgQyjKMm3dq0a5IWG8\n",
       "pw4Eqg55NSrSlwH3hhtShbinqdhiZX6NdkMaPDhfGNPghuSOxvJ9cEMq06JRV4EBp1AWPUyeMG+I\n",
       "a9CBsGM85BDRcGgpGRcfI5Y9+eQm0UM6IqMt7o2OlB2wy4DREY4aFXcXBlq1AHyjU07DpY2IBGHA\n",
       "I0Y0Rztug4sI+iMfiY3AzjrLPI1DUeKGNHr0IG8GTBkhFGWZhu4V/WDrId337j34jBf+soCFHIEp\n",
       "zDjWZF47YIPv5s34duvJGHP1121qhbjXLWpQYIMyYXbASfg2mntNeW60KheHe9Q7fBfbbFN5Vm8S\n",
       "rv3MbVNa200avtE8Ok36qtZ3SN7kS39SHx/dvqlPrfoaPPO7pYeiNO3cXH6DDjilp3qiAyYSGgE3\n",
       "ssBMKuw0YbhDh47UyS1Owc7FZcBGX4sV9cKFtfM3+Fl1MDjoeseNG1KBymTNIuLCC2MRuHlJHVlk\n",
       "TJw4xlsczsRSy7jF5M8vk5Gpm/087dplAOBlhRT0YV52Wb56LCZP/vJCHp0uefvi4+qsNkOlEK6+\n",
       "DLhXdMAwRFWzrC+bNsi+H7tc2s85uyHHEfLNxGqbfGPHfIemz7LGDTiusZ9Jl/ZrdKiPf/m/ZPC3\n",
       "visHrF2eiJo0hhMRnYcTTMxY53nabdABp1Fm0zwPO+BeprurM/XJnm+oGAcjQk9iwCYfjHdhwL0J\n",
       "7IBZCNjADhgDMXxHbUAvzQ4Y/E2iT7QrE64zKYC6wg7NiEEf/Zcj5kdm/rVetmxUS20dKzZ0dejD\n",
       "BoDb1swibGvITMTee9miH0zbSLWsDBAoYFEgMGCLGPZlvTpgGDA7jVqADpgoMQAHNcybV9YBJzFg\n",
       "o9NlB5wSqKiiSINf8VBv2G0/9FD81ISiZAe8cWOlcpmJmufUzQUm8rlzF0YuV9S1FgQdcDaFGqUD\n",
       "NjtgW6frswu28e2a+4aibOLwBaCk+42NsHi0UVdveSLaEanK5zhCw4C9jrJkABehr3TATViCZzD+\n",
       "cByh6ZGt6zcw4JT+5sN3w6qloEaPYTKkYXdRQzUX4dsh2tgBL19eDkUJU0OcZgN1wYDFdwds8O08\n",
       "uP7hD0W+9S2JQhO++mocipIdMLGdbdDwwUJc6CTApaWpaameuyly+eXx+cBJeOZZCEVpKJH826hQ\n",
       "lIYp2aElfRiwjW/X2DcUJccOGijoDGPxO+nq3OgdWpI8+K58wi2ylsWzIDU0pqmQ8xtCUToEsW5D\n",
       "KEqLGA26DAy4lwnLDjivGpBdrW1YlWSEZaoJA3bOnjevvH6p37/9G4FARB5+WKIg/ex0hwzpqkj/\n",
       "+c/Hhi0VD4s3MOCBA7vl1FNFHe9FfvSjJKzwbFNTwDBgux4+DNjG78k1wTgGa+hoXJDKu+HorifZ\n",
       "Jqalrf3Z5bTRLliJRAkP+z0FAgPu5S5CP4r4Ng9gKMMu1AA7YNcIy7zDLz7jnAGDlvoLs2USPvFE\n",
       "0YhBIux0KZvQko9N2FEeOOKo1LTmBRLGgQPjifSTn4x9lR99NH6LT/P11xvM8LspKYAI2tYBU5e+\n",
       "YMDsgO1IWH1BA7MD7ouy6ioD8XOGCLquPEOizZ4CRbvbzb4dvd6AekJRNjcP89792iHwYLazZ4/X\n",
       "yTJeD+lpc5Go2W6UCS2JTtY22LJx7GuDbz/jGgaMgRUwYcIkeeKJoVF4zF12GSdtk1uluXWX6F3W\n",
       "f+yAp0yJQ0USsetLXxL5whdEfvxjkZtuEj1pKN6NGPclLDwnh1CUqSStNxTlPfe0yCOPxLHCkzJn\n",
       "V8jibujQqaXXPgw4LfSjbyjKqt0evKdYg2aVRzciFCUMGOkQVuj9MhSltjtLBxxCUZaG6FZ1ERhw\n",
       "SnfX44bE7tdX/Gy7P8CAlywZGTFGdrcwSTcUsnHLQcyG9XHSThvGbIymDL7bPNvied99x8lPfxrv\n",
       "knbYQSuBso4zCGvAFVeIHHCAKq6LwOlJuF7xy1GMH/6wRAFGiNpFoJFttx0sRx01JQqHaNJk/QY3\n",
       "pCzqlN2QXnkljjvOYR0ADJczpDnzFzc4JCmMlzFjVMdRBB8G3CtuSJRnbJ34LV7DhPK4zpjFW7H6\n",
       "qT8wYMZf3rFjf4dk3ig3pFq73+CGlNq1W/SLIILuxe6txwWJ4pkkmSyBZ54ROfDA+Drtf4y27ryz\n",
       "MiwlcZwRK3MQRBbYO2DCW1JnJq9oV+wpJsM/mJ2vDcSnJtg/+mUWFI89JnLGGXHe//M/IjCLAL1L\n",
       "AfrOVkf813+JvP3t8RoKS3kisrlSTx8G3NNaYvELRLtevewLcTR2EU4Y4sRmVO3OE7Ea8zBrB9yY\n",
       "EkOu/Z0CgQGn9FCaGxKrbJikC1hTLljwpvcO2HZDwuJ58ODYDYkjAZMYsO1WxC73vvtEYGyAHpks\n",
       "X/lKvAvl9BvAxo+fxP/DgI3PL25Ie+65IWLaq1bFzsW2Baudzr1+xeGoiKVZGPALsKg49liRSy4R\n",
       "FTluVBH7C5GFavw2+38vVxIrC+PCYT1S3bYqt1OAw88X5nCm5pB2+rcWcFg7FsTLly+P/mrhm/f1\n",
       "uiENGbK05BP+u9/FunyV9EcGfYQVZaGEvt6mhQ8DtvFNHfn1dUPKYnId6ibQW25IBIk55pi4hiw4\n",
       "MGbMO3b6yg2p1ndlxjDjkvHpC3PmzPFFjfCmT5+uh7+86ZUmhKL0IlOPkAIDTiEfIeSSwrwxoen8\n",
       "WgVxiL4hXi5IJCYaE+IygB3jsmXxPQz4gAOixxX/IaIyIe1gdBxTCE/4yU84qlDkmmtE9azxaUkk\n",
       "tPHtjPi2jQ6YNu60U0t0GtPYsYPj7ZIeh+YDeSICDR/epDuxkaX618qfUHzUzRegI/S0Iat+9FWe\n",
       "iFXgmr6yy3CvTb6EKswbrjAeP26OyffQhvauWTM4ip7GLhj9+6c/HbuvIQWZNk3kPe+J09vjmCMx\n",
       "ifGdBeD/9cKL5JXf3F2BBh3ceiaFlsxkNrolzyNupTxXTGwqxcEhLEYZsvAUrvOOHbdNNq1MOfYv\n",
       "4yBv30KjyDfaFUdYGZsxTH1CKEqLMFv45YAtvH11Ny9JB4zete2VV2XGCVfIcd0/r8ibSQV+Wo8O\n",
       "GHHuwoUjI90v7khJx6XaOl12zFi3IvblDN/rrovvOSb2hRdiVe6aNeOi+tiVVDfiSM1rQl6SJ0z7\n",
       "nnvQOY+VwgvTZflC3Up4QJqeMCnp6NGckbtLaXechGM/YzKy22u/S7pOmtCzdHlbSihKNvGMFaQf\n",
       "GLzRl4wlRNOMQ8YjYPfVBReIHH885+aKvO1t8Xv3f/Bn3v9nWaZWTbueflrpddI5srX6Kja+iv8n\n",
       "owEDBsp4VpCeQN9OpmEJAOPltCcWIGTJ4ri5Od/YcZl71rihClkLu4Qqlo7za5vxshyxbEUSSvQs\n",
       "aQynIlsv8ujTSRZCUVrE6weXOmQD+FKAVfa4cR0yffuELapmYiY+3/xsPHbB6HGTxM82HtdTpsT6\n",
       "1VNOiXfAxtUEBowF9ckni8yZ46aKjbuM+Nm8JS/axa540b57y8aDaiigTcIcv5SZQ6qWI+etGxV/\n",
       "cZUoyt26UX3/+2NawICzfGKPO07kxhtF/v73bNr1RF9Z2gE3xWUUrEgc3V2d2QXneMv3xncDE8YC\n",
       "uj/DsN12lb+P1VVzgEABiwKBAVvEsC+TdMCI9sYNXy3LO8fZqNE1OsKFC1d474BtHTAZTJ78phox\n",
       "rUxlwLZOlwAYF1+MGLtyxw0DnjWLowWZYJdqVK72inra+l9eoAPecUeOb8MKe64sHP+yrBypW3AP\n",
       "cHXAWUkGDGhXQ6/pQQecQqR6dMALVVIxZszSyA1p9uyy7p2FlOsT6+p0sZBOWqCZ6kX4Ki51dbm+\n",
       "OmCTzxpljs3duhPvKHJifdGpsaB7SwfMeEZiRFvQ/wI1dcDOecB9pQOOa5f+f9ABp9NmS34TGHBK\n",
       "78JQ3VCUEQMetkpWdI6tSkXIvBUr1kVMseplwgM7FCWvt9tujRpxtaUy4LTQknbWMGBsj3BFmTVr\n",
       "QxXDYxdq74Dj9nVEu6HOzkUy/dh1smxb3VZ4AIZJvjBw4EYVDS5TXZ2ffhnjD5f2WWVhtOIaSWXV\n",
       "j4UJ4R99gb5iYq8F4BCuEWMs/nyhnlCUS5as1l3f6kilYJfDDhgGzM7QgBtasrU1mwGDzw640F3Z\n",
       "X76hKE25/GIBbR/I0KU7YJ/QkiaPrFCUkBi97w03lHfA/TYUJX7AplEJv4zhNSrSgMY+Y81kkYeW\n",
       "pMEAi3J8IISi9KFSz3ACA85BP8OAl2+s3gGTTXt7c8nAKUe2ESr6Or6LFHVXYnZ/Pf9CefDSfy29\n",
       "Q7eLZTQ74IULiwrA0tvKIBzW42gSQ0oYuYs0wGcEpuDhXmxXKVzXoMD69U2J0pZaImiyhWmxGKu5\n",
       "RrBiOteoTsXrgrXLjLS/OrYKhvtkGCJVZOJxQxu+9z2Rgw6SKCyqR5JNh9KL7d50jQgl9zYFAgPO\n",
       "QVEY8DZD1khLU1fi5PX66wOi8I45siyhYkBCaMg80Pn669IxZ25FEsTTO++My0h1PEwmLHsHXJFQ\n",
       "b5p1ttR9j/u4x/dDhxb0sAczA/c4u802A+ZgrJPr5GsV7U6zN0gSQVckLN60tmbvghkGP/zrSZE9\n",
       "QVL6rGfogFnHlUZS6UKfdVs3WZl4vEMEzYLja1/z8wH2yLJhKCW9eMNKCBlvjhQIDDil17CGxGIQ\n",
       "SeX/+3/x2bgw4FGD2+Sta56RG8/9akVKrClXrhwVMb+KFyk3hKK0D3rfaafx8g//kG6kkRRacvpB\n",
       "y2XW3surSiDARqEwQuuuSmILiKBlM+BJGm7LuPtElqb2pGmlS7pMC1eYhIuL08KFk71ceUhPncaP\n",
       "n5SUVeIzrHNda9Cs+uFqskMOqx3Gwkj3eKqEmmAhiwXxWI0IwZ8LGLtdeik+2pVvCEWZ5f6C5N5O\n",
       "s3HjJBW5T9CIaBMqM9I7GJKrA06iBVISXJKSAPwm3cW+vHhHwdXHAG1z6YBFeZplbUmYomuvjgGx\n",
       "g3i9oSgXLqyODscOngWHDbjxZIaibNIpz9qN8h3altBTsErMALwjkvo2LQl1idyWrDKTcBnD4zXQ\n",
       "OzTOGgtu2lZWUjkAfF8PA+qd1rfYfvnLAABAAElEQVRJRUJ75hQb3HnOfheuddMTiJBMAT60icrJ\n",
       "8LNl4rzqqtjdZ8eRS2SH5ukyf+hhFQlxI1i8mMmo4nHqDR+97Xpw1lkj1T3EmU2s1Hw0uHzY8KYa\n",
       "UK0Yp1zVAdDOOWeQ3HxzJT47YHvCsvPkQ7n5swW5+/1q0eMBTBS+MGbMINXpTvT2b5w1a6B86EPj\n",
       "osWPTxnQ0Z5ESZPlTgLToH99gYWSWahkpWECYiKFEfPn7nRfe01kn31EXn65MhfqQp3SAKvmk06K\n",
       "mTBBYL7whdHy5S+zWLMUvcXEMGDXCjqpr849V+RXvypHYLPLBn9Wx94yasj66HhN84620UYbktyQ\n",
       "7N0eomcYcXOXXig0KVHcxZKdn3tN37I4NLtdo7qHtrgFuu7iSfWpyNMSj/Pc/Q6zxg349Ku7COF5\n",
       "GsBUS99tBhM2Y5ix4NI4LW+e56El+DBU91vheRLgg039fQGG7S5OfL8d3zK2NLzAgGv0KPGV8Zsk\n",
       "2AWuG5NGL5U9m5+X+/6+exSv2exM2F0ao5AaWfbeaz7olI+aKEgPPVR5dCGTmM5nmTB6ebXoOjOB\n",
       "x0uYPszfB37xi/hgh0MOqe0q45PfpsRBYmLGB/UwDNhEK/OtG7RDqkG0qyuuEPmqCl84hSppUw6t\n",
       "XQacVA7z6jHHiNx+e9JbDSW64Sg5onV6FOwlGaP20y7d9K7XNYIawVdYQtdOWY3Bt7XrrmWxuc9Y\n",
       "rs5l0z3p+OGPZajjlbDpahNK7i8UCAw4pSeMGxIxZk3cgOhXV9CT5RV5bfFY+c53RL75zTiD6dPX\n",
       "6mqxejeakn1kCYp1rQGsE7GATAPbDcngRIYtyoOTYMWK13XXtFFuvbX8lt2DvfHDDclYXL6m3OEt\n",
       "94nsOFdncA/I44ak5l+6c3hFfvObjVpeeubEMr7/fgxrNijNl1cwr/RUiFxXVVnWuq43dvq+CkX5\n",
       "gx+I/PM/x1HLKB8GTChTdwdcyw0J5kP0tS9+UeRb3xIdZ29omM9F8sEP6uB0IGkHnEaL971P5Ne/\n",
       "jo3zyIZyOEpy+vRXZe6aA+SA9t9WMGDjhkRAl6OPjv1vsShnbNrwxoyn5RLNd6DuUHfUNscGWPEO\n",
       "+M1TTqvLDYm6sWiYMycuiXtbmmPKZzwzrn2hr9yQOvTD60L8nQJmDIdQlCkE2kIfp4+ILbTBvs1C\n",
       "5IguxmbApF0xep28uWeb3PPpa+Tss2ODGnYmr702UKZOjScZnzIQOZZEU5rAvXfzQERlQlFWvEvZ\n",
       "AYNPKEJiRhs+z84LH1ADtNGEvaOt+GyWLWcMVvIvojhfGDWqReswXJlHs4pO01P9+c8xw9p++xYV\n",
       "O7bIvHnpuPYb6OiKcLPqh2gtj5gPXLuv7LLta5Mvojj+0N1efnl8QhTuYYQPRacKI7aBfiBtGrAD\n",
       "5rQpxiL9Bz7tddtMen0VnZZluyGl6RTRIhAN64474pIZJ9dei254rPq7z5Zt998xEkEb7zHoQD0J\n",
       "5IEkhQ1dUijKzg59oVBhiBUXIcsOPKBC9VJ8nPpDeYhMYbioVgwDZgecxID7ayjKXV96WfZp00qn\n",
       "gBnD0Nh8kymoFY/T+rYCybrhu2Bs+kBS32alS6J9rXktK7+t4V36V781tD6jjXPnbqMiZ1216iRq\n",
       "85oX93lDlrd2y9nL9YUCosB//3esMAfLxz6WkaHzytXD1NIrJRpOKL8vGbo4+Rt8DkRA13f++XGQ\n",
       "jt13LyMaHJ6gA+azHO7J9ZL0iuWcK6+22WawhsjcQd7xjvjEJHZzCTZKEXPRakTMbr/9Rsvvf1+Z\n",
       "T9odiw0XsnR5aczLzcPc28Zy5lnSL5MnfwbQUbJrw0r3P/4jZsDsgHHJ4p2ZB2vpo13dfS18joNU\n",
       "k4ESZPUVO/R//VeJFpMwYGwY/vSnbeStg/6iq8tJyvziBRz9hQ4YHE7iYiGA2xyMwx5HFNpdiL+N\n",
       "SXNVxzw6rkaT4eJN+fSW9C06YNQ/qIPIhj+XJqaxSfUx75J+3e8wa9yQPmthl5S/0aG+cto7ZP4j\n",
       "j4mudxIhaQwnIjoP69EBO1mk3rL4MfVPRbJepOmALZRw6VAg7IAdgphbXIIQ36oBbAUQVg+RWqE4\n",
       "oeC3i4HMb34T+yNWIPfFTcoO2BT9j/8o8sQTokE+Yp2hvZgwOOZ3pe6q2nbXmbWXARcrmA67P/7Y\n",
       "CSaBLW2A/o5kMylJv34Gk1WSRn7Z7CwJG8kujpOijFTCbQB6Y0KS2gCzSVhj2CgV14jyrXVAxTv3\n",
       "huAtqCWQ2lInbBlYsB048LEIFQYMo/3f/xV54AGRn/88Hu8sLNIOiOpYqboO/UbGztEdsvZ7k3TK\n",
       "ktYuFa4UUm0W3Hq599DgzDPj75FDJ6hr0g7YTddv7nXeUJIECBSooEBgwBXkKN+0t7+hhi8LEg1d\n",
       "IiyL8eFaMnv2al2h6xLdE9xQlHXpgCnLqoddtNEZM8HCyDg90BY/g+vqgKPdtOcskUcHTDSj/fef\n",
       "reVvjKJ0uUZIHCaAFIGJnp0Werw335wfXfsE3DL6M7v9aXpPcPpKB2zvcukHA/b5zzyzdcAwT+jx\n",
       "7neLIJIHYD72wgl89LG+UZCyaEH+MGDsA2CoxIp+9tlXpUV0m6nn+sKAeU6f3XLLInn00bVy3nlx\n",
       "feivJB3w8J12rtBkdKucrVCcaRhe9YSiRAQNDTBAY5d+9dXJDLi/6oDTvlPoD5gxHHTAMT22lv8D\n",
       "A07paUIb7rbbsoRVdneUotsJ7QSTccMhpmQdPX712v+RmT/6cQmF8HAwhjRIDUWZwoANPhMowK7K\n",
       "9unkGTiEfQRKiwfdpPhAVqhHNz2T9LnnztFjFrsiBsyRi+y0AKr/4IOxeNGITU0oSqx803ZZcer4\n",
       "f+jm0j6rfn0VihIdKTtgF9wdsB2Kkp0dzOUTnxD57/8WueuuanEr+LTXbbNbjrl3Q1Ga5+bXMGDK\n",
       "pm4mFKXKkksiaNrS3b1SLafXRzhmZ5wU+rG7a2MsJSou5lqUl6v7fAQ88l04kMCEojQMWDeS8m//\n",
       "Fh84QtAZF5Lq4+IUqxU9hoaUYSBr3ICTN8woC2tCOkaQ8q3yjjEcQlHGZNqa/g864IzePvTQ9VW7\n",
       "xhK66+RZeuF58dTT0j5MLWZ6BAX1q6ydAb7xM2eKvP3t2bg9OQEnO2cYkdZVZz500IigOT6PSZ0d\n",
       "7pFHxscouucg+zLgWmVvqvf2Dtiug9lV2s/MNQfLEyOEeBCIez/4wZg+SUdUmjQ9/VXVbuS6xGLH\n",
       "LNjMWDC7dfT2l10m0toal0bfGJ/cqvKVcccAq1PBc/FW+TAK4uhVZ9MQmf7Da2T/j14U3df6zzBg\n",
       "g3fJJaKxzs1d+A0U2DwpEBhwRr+NGNFdmnBKaMXZxA42UHqX98LMTHnTlfB1gjNzXelZ9QUMGIMm\n",
       "DmnIggPuHyyFnRs7JBAx//GPcS1Yw2DzhT6R4/Rcv1Yz+WfVuT+/890B04Z778WSOzbMwpIZgBni\n",
       "+oZ3GsZbjQKzA0ak7MZXMYsFdNOmXtSDvkqz1+vqLu744L8KLLyAaK1YHPMvjBwuQ43II36d+b/L\n",
       "gEFGn77ZgC48Dl26TB79/Jfk8K9cudlUO1S0sRRo7Gzb2Lo3NHesIbMskwtGrFSsBdaUeSwZO9o3\n",
       "SGFQeQbB2jDRzaiYf1IoykKSn0cCPgwOi1uzuzGEc0NRDlE9W0eXn1YiKbyhydf9NZasrisPxlmt\n",
       "rTE2v0bPiZsNdWOShynUAhN9ysbLqh+uG3lDUfq4bmAhi+Uof0DaDtgVQROK8oYbhkbuSS4D5J6d\n",
       "pqEN+YIP+LqrZNGCfNgBY4SFBoQxAv68IqM0DBgmOmnS9iUrb9M3WJS74QrdM39ZI7YP12A2uoPe\n",
       "/dEu2UW3829o/t26he3S7+iRybvL21+fTVWqgO+K+iQx4CpkfYAVelYoynWvzpbDV6isvQhY/5v+\n",
       "4pFPKMpCjoWzHYoSrUtTS/L3xRhGVM2JYYx/X2g1H5BnAvApywcY827fZqWD9kmhKH2+nax8t+R3\n",
       "gQGn9C6uHmnuHrYVtEmeh/mSplMnn6bOSCgXZZHF7EFwXT2iRMxsKTtgG59v9IgjohQV/9k4TESI\n",
       "s+OgCRVoiTdZri1uAibpWhMboT4NGFcSM/mb52m/SbTPcifpSzck42pk1512EdvYAOMMBkOADix9\n",
       "bUAcPVt5k23xmzYu7XT2da2+Mjtg9PIsDsCfV8wAa3Ssoo0bkskXBozI2vSVeR79dkV73egyHp5N\n",
       "sqta4l/93YL8+PBCFD7xDX3bvbFT5vzhj7L/fO6SYdasYXpE5+SILvYiJBk7pT4W8rCpU+S50SPl\n",
       "4OKzvnJDKlUhhXknjeFSmoyL4IaUQZzN4FXycmwzqPgmr6I1ydRTl8ePWyrPH1JpNf33b38nV1Zv\n",
       "TGmTzoFlJp6W+OSTY8vatPc871AOMIXtZgpDz0rbG++Y0PmzwZcB22n60zUi6CQG7O6AqTNuYpMn\n",
       "V0spzA7YZsC93UajA8YIC5oDkQ5YraAx3HvxxWq/bfDSpBOoZ6JFqubDCr9ZB9WQtiayxZIr+tln\n",
       "7Tppe+01mfs/P5Bh+mSjZQgVIRT/IwQsluFq+F0hBbBxcl1rNKrmntpv5CowRuaIxiIFZN60v8iL\n",
       "/3djHbmEJFsaBQIDTulRE4rSfY0vYzS5OIeVY01ZsiR2EyXcL57aLkt3KpoC63usJUf98H9lQ0o4\n",
       "SuNWZGe1clw7tbEfla6T8Esvixe2G9JcnQwB4y5SREn9yeuG9KyaPmOh6gPGlcTssmqlMS4cNl6W\n",
       "601fuSHRXB8GPGvWQnW96pQLLxQ57DC7FbFOFhG0zYAb5YZkrKBLtFO9JTpowofSFyYUJTXkHgac\n",
       "5IaEDnjZre+X2X87Wy3KdpHD7m6WgboYARBl44b04ohhMpioKzxQWDXX7Lmj2+g//KbnzNkoBx/8\n",
       "fCQxsGlQxqq8MmOn8mn5rkkXFTYD7qtQlNTAMOA5ynyXf+kKWT1fV11FMGM4uCEZimwdv4EBp/Qz\n",
       "epi0MG9z9y7IkjErK1KiR7KjIFW8TLhBj2QzT8SiA9a26XmpZfGdnQwRVZWOWCcvO4+a+DaCXtNG\n",
       "9IjrlPkP8GSOJos8EYEoAxF7Vf1NZs6vCWmXtcuykyAGhX42ZNUvb1/Rr67+2i7LXJt8Y50X4SjN\n",
       "m8pfpJBK8hIsXz5M9ZZN8s53ihx1VOlxdJG0A6bf8ojR08axKQnxMtboyhcjETT4xgoanPEtc2Th\n",
       "XbdG49voSw0DTgpXuGDgCll800dk7ZLJ0tXcJRPbOB+4uFBUyZERt3arkvyo390XVWP2kcea6pR+\n",
       "sQI/55xu3YWPkO9/XxeHyWvNEj4XZuxUPLRvoh1wOSP61rQJtFq0Yhzk0WnSV2bc87VGoA0ZowZZ\n",
       "z331a/LawOHywk9+Go0v+pT60AZfqFVfNx++C9/6J/Wtm599n0R72uTz7dj5bE3XSIgCJFAgSwe8\n",
       "ZmxBNpglfTGtmVQSskp81K0iqW6L2cKg2hYvSWXAtr62lCEzUsqslIhfShhfGJxHPvM56XrsCWk6\n",
       "0EHQ25l33iWtJ54ggxwFXC29op0TH2EtHbCNzwdL3XxF0Em039Q6YHS6aQwYUTNuYRx1yYEIbW2j\n",
       "o+ASdGVxQ1giB/ZWBMGA4RnobR0w9WT9ddppMLBYBzyfyuhuEdh3rMqgn35YjXfea6qgjCKWJm/c\n",
       "OFBuv+gGOWDPlSXr3r8/1SpD3/6QtL80TpYNWRFJVbo1q47pe8lxTz0qbxSNpAudlkTEGccEjpk1\n",
       "C/GzLkwHTFZDrFLRmRdm7KQhsQNusb67PtMBF9tXUKkCYJjx8hHDZZgSM2kMp7XBfh50wDY1Nr/r\n",
       "sAOuo8+wXe56fX4dKctJkmI4x9NdGaf2lYa3cyau2mkSMJgUUvKZ8u5z5MGTEyIeJGTT2498GXBv\n",
       "l9sb+aW5IJE3Yl0CbBB6kx0vp2oRVMJlvuCysadrcmyKSJYbOAbSPigjGldFZvHOQ16Qk4fcWZUn\n",
       "YVpZHHzzvjNk7pPqwFyERQtHy6ADn5UFg3ZQ/W88xQzoKsigz1wqp4+7TTiYgs1g4aqvRymWynhZ\n",
       "2KW+chbEu1/VITdgi9CcMtat4nv/0nSuLrwjK+qYD0floB8OsHVSIDDglH5P0wGjyOnQvwGTJlak\n",
       "zNIBPz5+B/nzvpXby2adUVus48nQAa+dOrkiT/smSacbMXHrQ66Fb7/n2tYBRyLblLxaEurVFzrg\n",
       "NAZ8883x4QamPUZ/Zu7j3ROzfDI0Wgf8wgsrdPe2MnUHTK1wDfvMZwjvyGENi9RHuy25sglPe1sH\n",
       "TBH4ihtAB+wuBtGb2jpgcAkW8uyzqqPVHfIzS8qOykuXjpKBU2dL86KxGgs6drVbuXKytK0dL9tO\n",
       "flYeeUTl71pAu4pngRvlffKVtrIBIv7Fzz8vkUie7wr7AV+opQMW/eZaLAbcZzpgLVND0cTNKDLc\n",
       "mBEToKY5hKL07eAtDC8w4JQO5cMnVKMLxgfQXbRmhaJcu8fu0rTXnhVZNeMPWBTx8YIwdJ3bbyeP\n",
       "nPehCjxzY0JLmnvz21TcpZh785uGb97za4ei3GHBQt1N667E2Zq/dGBBVr78FztZdF0rZJ+dAEMd\n",
       "Fhj4OPqAHYqSnaINSA9hWkzQBuxQlEzeiFLfeEOVminQ6FCUX/3qQD2yrymTAZuqcch8c/OyyJjJ\n",
       "PKv129uhKN3yotCVFpPiPacZcV71ehNDVJ8hFn7xxYIMHNAkz765d3RKEbhvvjlaBuz8ugwZvVT2\n",
       "f+kU+fq31cp7xvEy8u3TpHnPWTL9xXbBCtpIXeZIq2zbuUae+MNrJI+OO/zAB+LdvwlFGb3w+K9W\n",
       "KMpIBG21je+8T0JRapmRxYZVNs2BJbMDDqEoPTrXA4V59POf/7y6XR6htgN7aPS/t8slGjYtGtMe\n",
       "6fsaJTDgnBTHAhpocjlw/Dj5f+ejKyE5O046o+nNaqZfwncvovROJi6Oz73Wr3NwbDG0w9PPyTPX\n",
       "qsWLQqeav/7iYg0deY46o24CQOyK5O6RR+LC4d/f+AaBKOId5OzZ1ZUCl7CNTpyUasQGPWGB8PLL\n",
       "A1W/3xSJjxtUTMOzddZhFZbDpvDJkwkr2iz/OPEvMnXU7Ch+Nfx5XZvqbbdfLIPHL5Kz/v7vMkpF\n",
       "7cuePFa2OfzPMn70HHl9phJJ4bBFS/ScpBZ5RabKKXKf/P4X8aKJw0NqRW0zdcj9q7vNnSz/+9zp\n",
       "eylBNI2kLJ57qYitMpuLL744CrJz991369h8SSPM3asHm7xbTj/99H5Jj8CA83ZLGjOtkY/ZORu0\n",
       "yHrZneX0ZZpVs0lX8atfcZNZEVS8yH8zbGUcHWj58CGyvuge8cajj0UZFRyXq/y5158Cy1xEtY8/\n",
       "LvLxj8fWw1jEHnSQyDPPVOcLA+a0nJxG3dUZ1fmEWM6trRs1sIbfDrjOYupK1qandS1pHuKV9rF3\n",
       "bpS5E5VzFiFJb8oOeMaMZpk4bJG8a6ffRsE6/vM/9XSlkbF/++BtF8jS5YNl3Wu7aS5NMnLKTJmy\n",
       "+nnpbGuX3+90gMwb0CIzZTfZSebLofKkzJoXW5rh81sM9mWK79Xf+VqubQDZq5mnZbZsuZ63rR8s\n",
       "K7RoDtGFc1ECZgyz0pKG5/4UwI0LJjxWTfux4ka1duKJJ0bBZWzpjX+OjcVsgIlDYyvcV7lnhaKE\n",
       "57mHIGSFopykBy8sUPGyDYhju60VMKEo22ap3nIn3d4lQFIoyggtZSeeim/lbUJRsjh4fkqXfOom\n",
       "kYsuK++ou5SL0dY9EjhdrfCGVjGRhedk3S75uiPgumFC2hGJCSMlDiX43Odiq2Hyfte74sMB9t+f\n",
       "yXpM9KHhr4rl7FvfilhXuUMK4LrRqFCUzz8/QE4+eYAeat8SGVulVKHiMaEl81jB1huKEhe3TmMM\n",
       "VFGDyhv69uZjOmXqoHhRxlt0wFi+2652uEjdc0+XLLlkiXSouEIlf/Kv/6q63Vd0FaIwvHWmzJw+\n",
       "XJZ3Hyuj/+EvrC41n4Lss8syWffcDmpY9rxMl73133TZS2bInEWjo3CYhPA00RJNKMooQ4//qF9W\n",
       "KEqyYIRH7n46QfdZKMpxY0W/JpGf/lwmqigfepmDKbQyUXjIEIrSo4NroLDTPffcczVy2pkRE0a0\n",
       "/9hjj0XzCfNKf4OtYgeM3xu6HgMY7dg6zKR79JATJ8aGVrx/YvEjcobozK6wa/ehMqq1bFTFe3QP\n",
       "xqXBzW/8gQfIAP0zwPupo47V7y8WxXGPHmqouiGh03XTc8/HaRiYeT9zv+UydOUSb3y7fNqPqw95\n",
       "NqtB2eADTpDJL4lMXK9cbNsJEX2I1fvM4WqsddKhVfRqsiZyUx83f3OPYQxMz/g31sKHFqUj3DST\n",
       "XXddJXfcsThy2SFP0g8btlguuijWB6P3Y3X79NOx6HKXXVYZ9WJUBbc86mOOYTT5ZY0HcHzGT1fX\n",
       "ED1oYoyeqdsue+2lO55Yqp/YP3Z5rNTRrxpw6+veg0/908abi8/EY8prUR7gvnfvwT+k6XQZuiFu\n",
       "wMqdBsm8y0+KmAQMzuAzBHbffaB0tbbKgLccGllq/+AHIp8684dy/OIzZJvWGfLKnGHS+ubJ8o5j\n",
       "YxMkrKvfdthKmf+BcyP7aBjwAYe1y7p3nSjjRrZFYTff8pby98nChN2MqT80MuUn0YvxjF9vKr5+\n",
       "cx1vOaQUNAcaMn4MPgvvrPzZUbF7Nvi16sPCmvE84NCDVdiuixMNg7nkxONk4+lqqMBOWP86ld5m\n",
       "/sDFDBsF3/xxQ8qqr1s/Yjuz4PbJHzpSf9/8mWfpKxt/tIZ9Y6z6lGf6E3qxQTnmmGOq/n784x8b\n",
       "tMTfy/TIrssvvzw6Yxvx83PPPRfpg6+99tpE/E39cKvYAduTFQRnUPBnwOd+wOhmGSPjNMkaeaXl\n",
       "SVn1qvqSFKFW+lGPPymdO+p2wcKftfJPMkL/ASa9WSKY+yJ66X3V/eoWWbrL2PT3xQS18utWkfPf\n",
       "trtLVo9R4yXVBU/RhQAT0RqdaAZuVOaz9Mnovqp8z/xrlV/ve45XZMIfOjTuz1/+UuTQQ9H/jlYL\n",
       "7+r+ZWcF06i3PLv9I0dW58+JU297G8cJjpb77x8tJ5wQp+iN8sjDQL35rVX5+DidfAd4jP/X5/xW\n",
       "Jkw6OSry9ZVPyrIBd5jiq+jXhVPza6+V3ndN/7v8ZcxaFeY0yfxFg2T24BXSMv4W9b9V8bQuMLcZ\n",
       "OE9+dJcG6fiPbnngZ3vL0c/fKBMenyO7vPMytXhGSjtax1vP22sq5NJr6iOPy9zW3Ym/GqG47xtx\n",
       "3/nEUwigpVkDkXQ/+7wMVJG0/PP7o2cDdPE4+9vfle2++fU+qw9tNNCI9vYkfxZdzD/Tpk0zVfT+\n",
       "Jcra9ddfr6FdF8gVV1yhkeUOi9L+0z/9k9x+++3e+fQV4laxA66HmEluSOhnC8qsWLXwawM7pMxQ\n",
       "lKx2LcANiZ2MAQ4pX427TyWaeS1Jbki8TFAjR2nS8EsZ6kXJDUl3BYNbBsVhKHWWMPpqdsCIoLtZ\n",
       "ujvQF25ITpFVt8whRx/NUYYdavncHh3U/pa36CS/DW1Qcb4D110XW0iv1Yhj6Ip8gdX74sWrI1H4\n",
       "Jz5BdKb4cAtOD7Jhxoy1su++i3QHs1x3NEgs7Lfp14w1RGW+UK8bErrGJap3TIu7bMqP3JAYh8Xh\n",
       "OWDMaFnZ1FLlhgQ+u7UhiPas8d2ii7bhupokBvTqtQNk2B4v6kDVkJZa9pIBA2VI82rp1sXQgqHb\n",
       "y8ZBTTJsVNz2g4c8oKdCxechm7rwXfWqG1Ix4130IAigz9yQtCz12o91wHq9+waNzVmkGd/ZhDvu\n",
       "Ur/wpdG4zDMW5syZo7n5w3SN74lHgg+wcZmXduZkQgZIoWB8Nrj0td814vorX/mKvOc975HPfvaz\n",
       "8tGPflT++te/RsWUwqs2otAe5FnmAD3IZEtMihjODfPWdv80jaIwTtarZG78kucqmo24xtaPVbzk\n",
       "Ric/Aw+ceroMiaJelZ8hvpk/ca3qil+XOfc/YFBLv6wKbYbNC8TVaUZbSfilzIoXtDESC+tEYALo\n",
       "79CuM2MRNpx3vszax9xV/kZ+w5WPUu8oo55QlKkZWi84JP7zn+/SUIUdkX0Lbj3oD1esiKULFmoU\n",
       "01il12qUMVR3yX7GSKSnX7/1raFRelUvyXe/K3LGGaK7XDt3kRdeGKCuD0NU9DxI29vkHUSCfrDD\n",
       "IVbmWn0Hfj2hKOljjgTormEibsa9WYhhhDdWLYehg1tPxmSUn8WAcbdhYhmsw/svd+nO9iPf1cWd\n",
       "WoVrMI7tlNkoG5L1B70mry89WCZuM122Xx4zhA/c9l+6u66MIEZ5RtReTYnqJ0nhEKuxyk/cNpm2\n",
       "lzEqrxBx07++QF/Z320TBo1GfVM8mrCg4tZtdVG4ZvbsiMZGVeNTRq36unnw3frWn3ozj/hCEu37\n",
       "OhQli9OTTjpJjjzySMES+uNquZlnAefb1t7CCww4hZLoYowOGJSI1TFzKGzQuX2WGv/YwED1mSge\n",
       "OFzlpjoRbtQJyWaeI1RH+vr2S+SGry+XH0+/xM46ujb6WvvFoI1d0qwTWhIk4bt4BueG8x+XWz6x\n",
       "QQYq742MqrV+s++5T5ZNnRLdj0lYMNcTitJ3YmGSo24+wC7zwAOHSmvryNK8BgOeN2+7quREnkIV\n",
       "dMklzXLTTbpN9gTEaevWDYyOxEPEzRGBSLawzDbApmLZsiHqPhMbhI0ejYTDvM3+ZawxUfkC+Pz5\n",
       "jDfyNH0VMWAdw13I4jMAfIylNmKCrtA0cICsUvcdzpF1F5n0VQdjEB8xAyzo9LpDWW2zWhwvnqhq\n",
       "jNHt0rJ+sLyiOkJ8ilsmz5Ulcw+S5y6eLv/7Rf2gioCU8CMfMXdSMuArP8m+8hk7nVHt4nygoc1k\n",
       "EH1mAQys1tGhdnp0qNTJwKB169kKR9DU3CL7rV4rY/7lMhm2ZKkwB9CvLo1N2qTfekJR+o4bFj/U\n",
       "3xdg7OiAbeDbYRHSV3CofqD4/SI5Yf7+lZ6lecEFF0Q64b6qQ55yPKeIPFlumbiGAfML0dg/caxY\n",
       "LcBgY092B8UdwtDX5ujMxAQY5Rglf/q/vyePT5osn71V9ZMrCzJ8YfYEacokvm5BP5KewpRXxsrO\n",
       "LwyUYaoSO7y4+X7zAx+U8W9Ml05d7A9SadnmBDqHRYfYu3WGATO/nnKKyKOPlrrERUu8Jy0hJA0c\n",
       "rsZpGIdr90aA7vLAA83bOHYzhq6NhpfkOdlV/Jj3oxedL9/9qVrf19gBU+cWZcC7PP9CVP0Nv7pT\n",
       "hmQdv8nYtiQ8GFqhGtmozK1Jx+dOL4uc8Lup8urB7fL6nqrW0PKHqqRn0Rw1TDpgui784gE2fXjf\n",
       "TdQ0rM9dkbTMA9H9FoHDKNbp9dIRw6MnkWW2eRl+66LAFar3PUPFU0Z6M3nyZPntb38rZ511Vl35\n",
       "NTpRYMApFE7SAZuVa8RPlfkN1NWwgTQdMJMdO8g3Jq6Wx7/8X2qEoTsFzWBAywDdIcUzNLq5zika\n",
       "cH7BlOLqmP1DJSTpdKOFdLRlrcTlLgnfxUIHvEx1PF1qgduiOxWiBn5MbW3O/8Y1Mkh3NXN2jjnO\n",
       "UGYJB/qDDthUCatL9GcGEGPuvPOr5jayrL3zTvR9MRMdPrxNdz3rhOPufGDhwsWqN+vU1X0ZWzcr\n",
       "ka5ZSRgBDHj//ddGetLly5frrkd3fJ4MuCc64OFqyLeXOOKYcjWjK/RfXToOB814QR4/lh1wstRk\n",
       "ueKh/gCfHXB3UVQ6YGO7DNMh6YaiJHN0wEOHqpiSj8KADsxVSqv1A9qkmXGuQ35g5wC12G+WJ05d\n",
       "J49OfV4WnzRXVizeTQbtPlPHXbxDjO2kTSbxbyN0wMU1U7QQcXWUs1UMnAVEIXMj5HU2DZGXbrol\n",
       "MVnpOyzSsjmaRJqkq7gLNwLeVZN3kVVq/YttQtABJ5LS++EpusK2jcBw27sOA5B+CIEBp3QKH777\n",
       "ocHwCvohmalm0UMPywOHvDXKAdN50lSBbpE26MJ+xv7LZMTXr5YBMGB9RihKwuIBbTNelh2Va4zb\n",
       "sH1s8GRPZsUMk0JLsstwQ0cW0aO61zp/lzxf+e3vZIdZr8iw9g2ySneO83QNsJ0ylX3XtMmDZ2+I\n",
       "smvWGev5638mf/vopTJtj32iZ7ZbgSmTiWi5/r1ww/+ZR9Evk3Q9oSgrMsm4YcKyac+6aOedF0dn\n",
       "yGLbhJ4Y7wUYItIw6rPXXitLEbYyso5ezZ27Ru0BNGaTw1B1cV0y/lVvB3WX2hC5E63Vo5AGD273\n",
       "FkEzqVMnX7BDUcZyFDMik3OAcT54wYUaA1mnfR1y3V2xAZKL/dL3r5M5l34sYrSMzO7i7LB+xx2k\n",
       "TRmHG4qS9Iyx3R57Uo5Sy2ID+y9dL0N00dY8MNazbz9PZPLscTJ4fbMM6NAa6/jvPni6HHbJ5Spe\n",
       "6dSjMOP67NO2Tub99W8mm+iX78peXFW8TLihPrWMjEqMXuvBuKEMA0nj2rzjl77lz4YZQ4fIEHXd\n",
       "SwLqErnU6XePHzB0HajltURX5RTrVDSzXhdG0Bg3OV/IQxvypD64PPkA9a5FSzsfaO/OmSyObfra\n",
       "+OG6ZOcYSOFDASY7ZXnRLpWJbN3s1+Sov+vWJwPYAYO7zYyZkeVjk370FbsFTTt8zz1k0aCBUXAP\n",
       "ePJuhFPyhCFrVstqZXqzfv0bDbIQT3ieSSO0JuUqw5WTrx82VDaqJLNDl+QDihukERqIYZDOBdR/\n",
       "8CUfkzE33ix7zkreITz0cZ1MFdbowqJztd8HHiVo0H8w4RdUgorOF3cgyM7O2MABB6yThx82d+m/\n",
       "N97IyUWjVBdWzeSm6GKFDROGXeiA7ehNp5++Tv2B0/PtrTeMye7nnvfKDpUF0O3sgJ/65tXRDg7R\n",
       "cARPPiWD2AHHd7oTLsjTR2tJCQtDUBbutbu8rEzIwI5Kk6kv6Y5ZjQqbVQTN+GlW8g3YqItXHeCj\n",
       "Vw2SqXPXyXaH/zFKsm7i9tEvbdnx6BOj86kfu+JKmfHL20yWvfpbapdpbw9zh6wFNVLLBF0J6hce\n",
       "oQwy9C8Ua1LcHWemDy+3SAoU17hbZNt61KhVuitt+8Of5KlvfVuWzZop75VjKtes+i0VNtbW1UZ6\n",
       "HcUdY4dz1NXw6LVrZBsiXxXBhPqbP1nkt2eNM49r/rarZer8IYNlkB4YO6sYz7lmIhtBd3Udqucd\n",
       "qi4EZsdjGsrEyXqD3ynFSYNHSbDjdT+KHvMevd+mBhjwQw/FhzaoN4LsvTfWzOVa7bprh6ikWN2L\n",
       "ys+Srjhu7w9/GKlGYWbaLmNNnhzvgBE/77efttsizoEHdsg+sbCgnKABV8t0nAKImLOgW3eX++pi\n",
       "jT52dcCrbv+VLP7d70uGVEPUZ3W4MuAx2vkPHH9SlO1y1Z2n6SjnTNGd6x7l8tndFYrSAoywcGMb\n",
       "9+YI2W4urm5Nssuv7pJha9RJSem1XkX5qybGhIvcdLS0QRMmyTqt09L7/5zVpIp3f528mzz2pSsq\n",
       "nqXdNGLSq3mkoA4+PYgwqtJ+a4o7aKWxDWkLHBsnXG9ZFGjEWNwiKFR45VUZ/vt7ZeO3viOz7/6t\n",
       "DNNdDn6Nu6oTvSFaN1GjioBlIWHtXIgmLf3OitJm3QkUZNjMV2S9msiuHqqcTwFR9J56CMIbI1+R\n",
       "0StUBDzP4hTFDN3Qkuw4V6jUa8UO3dEB412W+xBJDD674g5HZFbMMgrPtmzUCvnNeTr36iTJLmXC\n",
       "PH1bnBf4adF59eTbNeDFZwpy7wXlSdYNRblmm265//TY+IZdjw1YmU5WbmVbg9rv3WusJk0oSvdd\n",
       "0j3Wua416KRJU6PzbTnjFgPj3XdX0V/RGBXXDUJR6oEpNXfBsWoZq+y4r+zyYcDsgBE/H3CAROEw\n",
       "sSDGEtS1BrXTudfoqPK4k4BPe/nbSN8q/0pjjpRFX2HJbKBKBI1IWG0BulUUjGvbet2tzd4rXngN\n",
       "0lMRmlQ9QRnbaXmuBTDW23ef/oZ8/wflsfHtr6n/r0obTv7fbZTZd8kA/WCG6Cpvwe7t8sZunbJo\n",
       "hLrUdTXJw/B2zfcjR/1AHr3kQlM9Wc1jJEdaL74rd6yVEPXitT/+SR76909ERl/402JBnBWKEnsL\n",
       "HQ4RPLXrXvKmnnX9xm3lICNTEGtkAFbK1X2re/eUHTB1idx+9LuP9b8Jmeu70bNfk5FqRcz4yTMW\n",
       "WltbEzJMfwS+r4cB9SZyli9Ae/e7ZU609bG+eW0teIaX9Kv2YuDz4Q9/WKMaHapuHXuqCPEEueqq\n",
       "qyrCB/ZWhafJPfKMPC73y90VWbagh5k7Tz/sgrSvWB5F8dFT1yJA9wqTOuJnN5bSpLkhdXXrpAZ6\n",
       "MS261RadXIaq+KlQtCxdv3GtbOicL+ualsiuLzInNckDp50hWEcbMC5D5r751tvk+Lt05zVNxXm6\n",
       "O123SI8TNC/11+Av021Z0uS8QXVNI3XybBqgwRl2FHnySGXCmm7VeNVzFUW1RME64DF1r9Hdzx/P\n",
       "Evnb2Z1RJCWsv5konrjqq/LAO06LSl03RuSB09VFB1mv43/DJM3E1gg3JApPov2hh24XSfrxCwbU\n",
       "M0F+FG/SI5cfJlKiVnF4g3ZxKhCHgNjO225b5N4WJpFKUemTBzGpmYBYDOCqksdPmrrU64aEJW80\n",
       "tqB7CtBXWCk/fILqv4dWi6AhwM6PPyVdjz8RMcQOXXU8cXQ8ZruV+e4+b34UfGaUtst1kWFRtVHP\n",
       "NLIH30yVBszbTWSfUy6Ukao/lnecqN9Rk1z4+Z1l4szBstOqldI5TAWyRZ49fvROsu2JWrkijNLf\n",
       "EeonD3HN4s28c38X3HmXdP2abxcmGIdrrcVgjMb3LYuXyqGz50rHf321lG29bkhVi5pijiU3pIRB\n",
       "doTGhQZatO9wQxqmtAxuSEXCbSU//Y4BM6EQUPu8886TadOmqaXqdLn11lujD5EYn/XCkuY3ZLmo\n",
       "os6B/yff0aeLZY4eimZDtxrFwHyBjrWrpF2XzetUrDlDdzorVEJc8KAcp88sfOKJSLdLmMfzpsX5\n",
       "rdl1qnTq5cSi8ceLj18jX74uLl0PkFFDrWZpVsOotld1e5UCt1z5pszRSW6vN1WOqrDh8v9IxGTX\n",
       "nsSAHz7uJHn0Y5fJ5C/+p4zVuW6oGivtN2Nn2WbA9tKmYsGbLy7Iop3Qmx4mP/60ukroPDokWnko\n",
       "Q35Wt3wK63/yUznqXhXTqw5xu07dRRmxo7XbSqxUP3mo6zs9NCF2S7qjvAkq1Q5VvEr25WtfE7nw\n",
       "wtLj0gVGWbpOlJtvbuDxeaXSki8QfcKAk/rYTrFBnbwvv1WZr+KyU3z2uh+UJCOTXtBgGBhCTW7V\n",
       "jHRgKiPoMONbGbcaMouqb6PjKe08zfWEtrUqQVGkIkw/WGSUDsvdJh0WPenSpV2LfjBTnx0m779q\n",
       "h/jbUXyzKG1VRyoXDlypfpw33uI+rrrvXPqmirt1b6n1LOmwFQtrbqQ/rz/4YFUaNXMowQpt1/qj\n",
       "3l66f+Ct/yDT3nde6d7nYo/17bJerZddmHb2uTJzsA4ghaP+/Df3demeRTlQU4xdShEuthQKmM+s\n",
       "37QHK0AOUj7mmGOiXQTRWFjRXnrppUKcz3rhV4N/Ln+U31QkZ2JYKAv0SLQXNWhAe8W7jSp+kf32\n",
       "kUOUwY38vxtl5BoNndeqi/LlQyIxMTvgDUN197hDzFSxpnRDUb5y+x3S9p73Rvl26mS9Uhn30u0L\n",
       "cvizT8mCyU3ysjJzgIlo1IC9ZGzHFLnx42pNO3ueDF6l+jrC1RWh5M5QvP+TzhELVTr0jW9pZKar\n",
       "CsKEZfTIoIC/QfW6b2NiStgdYQzWrvGp3xg1JlogrNNtxwFP7SgXL/+3SJx3pS4IBqoQYJuObeSB\n",
       "U2O3kmLR0qlWlI9/979lw9jh8sIhBTng01+QL/1Iz4YttsfeAXOmMFaQRKP567/+m/x9jMrNi7Dg\n",
       "kUfl4R13MbelX6xAcZHyBdcNiXRZoeewmsbdA5H0fffF8aRhoq4ald0vZwtjGWtbWdv1wsALnsWm\n",
       "H+tYLI5xQ+LPF3rihkTf1mLA0OLnZ/85FnHoWGO3NuyyT8nymbOiKl4wo0m++qOCbH+frkYU5u25\n",
       "UI3yRG79/+1dB3gVRdd+qUHphBpaQhOQpvSmYsGCimJB/VCq+IkdK2IBexdFpArqr4CK8iFiASki\n",
       "Hem9hdBCDb2EEu5/3rmZuNns3uzeJBrCHB5yt8zOnn3nzJyZM2fO3C/HlQ+oeeOttYI42D2A13w3\n",
       "Dkl5JU9LS3KlVLMTMtJegvkqv+ISQz2XAJRH5jkOlz6LfSVo4xFGpE6oX0mVKIrUTiWkU7B+8hRM\n",
       "Hz7CfivlPCBTL1S+xcULrvwnQ5QHMWUnNwtXyO5wlvJg8kFeWQqYJznt7ArROMVNU6z+GrYHnJYh\n",
       "rRcfjAiHwDER0ZVxuGYN5eF+1JaP/ZTLkNY/3QezZaVBVi5DWvTrb9iTnuNDMnPnYihKO67Z/dxS\n",
       "bbIHq5xfoany2WefVcGzuaPFaGkdO3bsiE6dOoXNpLSRaYgK+BAOYBy+gH0EfDjffqyvthfjusnu\n",
       "ROVPQZYx4pAo0ONVRCsJcTC4SRqlgU9JIyUmWUaNsZvnON9U9YwoUUk7+GVZh1oOeOproN8QUZ4x\n",
       "4uSSEGTprGxRkyjxcRNKBKtpXDUqZTEdy0iFxF503KNPSCP/d3G1+6wsInfLPWkvhvYVZ6PGqb+Q\n",
       "pju6/hYVPbCwcQs12jlo7cDIvdwS/u6vW09htYwECx2QudKl66UTUEKNZLnd4oQushVhnStl6Ygo\n",
       "mCRpJKXBJJ2Rzka1Z17AuoaH0f8T4LvuARwpGuxI8P6+fq/yR9HWwpHYv2q1mjvMK/N5R4uLKSCZ\n",
       "ODdd7MBBfZry6xTSLuWmwwHNoHYTrtUEzDWa05rIhG8y6bLiVDWDa3Daj9DKaqBUJHoLMTFB07KX\n",
       "+WudL+fO1LxfqtzSnix+/wNMu6yNihTEZ72SNRSldK/UY3bHKmtenFOsvF8+RMrvVITIbY8HUTx5\n",
       "jnWVLBlrO+Ekai8WDEQm2Js4Xmwjzki6vy6Tsl4zSfkHlIgXy4xEw5rXtbs1aywutQz/6wLEXhqU\n",
       "Vd7cF1EQNx6/Hd3xuEr7Eb6SzqEALDp38RU78OHbAeSrIb1HoQIIjkfr9eyBZcWkF2ghjh13Syf2\n",
       "oiEjXONXt574s5iyTyNRpjmOieUlRXb4LUJ2x6aDg6TyWaiwmLlbjB2n6kelXXtQTxzQECLoCOXA\n",
       "Wra7Fi9BWeko06pgJ76bUcdYb8V4lopmtmia6jyfOMnllo5tYMlSHBLrV3q0Y/4CFUgkvfliru22\n",
       "1vsi/30Yx2RqzQutH/stTqxZ6yWpSpOCveUJ1ksvdcfyyHl1KLUi+9F3330ne7o2xZo1a/CzbDHD\n",
       "xfHPy2awVMLhEhuqs6Jw/4fRYvCKUP95hf+phCNUbKu/c99XOwmTbl6HLx+VLTz7ncWxoCUJsReJ\n",
       "IhIfqXfeF+eRn0X59JYGTUy5eh6SZq/Nv01WGTHGK52bqKwjxMp0VNqX/aLET8rgmqMWXp/WvDWi\n",
       "dh3F71ftwP6Ce1BYBgLT2svIS+aEAipiVtADOSDzhHtkeYimZv8riMg9wbPC+4GOc6SD0PCUMr1R\n",
       "sdFqkEeU+FHhe8rjm7HwojpY2fpK9cCvB8fijGxNk3tHPCZ2PI4Komg431tEgphXPXsRTsnohe1l\n",
       "QXE8u7loZxwTnXlaeOaYglG9ag39EEWkAS+SfwdWNAN+6CKj+xLAugZArwkBLL0t2KjyZfKZ0uqf\n",
       "UnPADEGozfq8zA4C57/sxAqb3jze/FJRKeY9jb01H+tc3nGJD1vAMqJmo8C5NitxmtS++ovLlLi3\n",
       "sNdwen7mgDf++BMWxo3BpsZzFC/2DoSVN/sxeed/Oihp64b+taflOeeAk04eRy7pREVJ29tq3Qbk\n",
       "F9mjyXP3kOGqkP68TuayxdKxuvlxxEYWRAHpC+aR9NIdw+y20kET+T1evxHqfz9BNfz6PUWOX4hC\n",
       "0oeqMzMXqMxJxXblwbUn2sm4929rx9nFSxG1ai0KHiyIvWVyoWBkKRQVP+uH8bzOCkmPPyKzycEO\n",
       "hb5YY8QXKC3PrisZhS15L8TscpWwrFAJ/NG5K6bf3EHWJ4vcJvzdc6LsnNm2HVFtrlVZbBGFY/UQ\n",
       "PxuZutz1e5ZGV1cWpNJLluGsjKbdyB6K8rB0atltcFLAlO+TYs2xKqC5lco7Zs054BaypLGgLFfc\n",
       "9r8Jjml4cWa3+zGtcXMkSl2Ol31uD86Zi435C7kuQVzauRuW9H46Jb8I2UTmQlr3PND+l/tj70+T\n",
       "PKQMJmHHxO6g5rXueH5JDksozWz2I5rMJk2ahAkTJsgSkMmYMWOG7LM6JXwnLDEVn8qVKJX7DH7A\n",
       "/6kPFsMT7kcHMT0nilqWlkaoG27GU+iqjgvWrIIiYqrjCHPBTQGUileXEVtTAmeIQiJRudE7OlC0\n",
       "COb1fQn7N2xQ17d+PVr9Hho2IjhfrM5kBCEjyT0VpBJJQ7e5evBiHqnsCUUL4ZQo9dyiBPPnK4bd\n",
       "kuZIDdmke8oPKb3XfWsnYPDSyzHyySvx8FcxeHv0BkiwJTVypTJnuMghfaUhuO4mbCkh2kSIo6L8\n",
       "8s580kCeKprAFlddf2V/Zzy4ZA1aS2PK8JPHpHseFSebFDT+Ly7IU1ApXibkUhLp7+OsaF7yziUj\n",
       "JGJAU/rKS4Pna0Xx7ogOHnOuPEIawN10DRaiAubuO/NKl8eywAd4au42dZ1/ton5srReE5ly1flg\n",
       "zpNPY9PPv4AjDhKnBvbJJudeiB0hmilDER3YGSlLE52Lpd+nnKv0tcz83bHoTxxLWqs6LxnJ96wE\n",
       "19hUW8opMipkNmo9t5QnxYD0yM9i2ZGOZ7mlyzG+M7BMpmvn3HcKo1/fLTUjUTZOkPKXdItbyBz3\n",
       "Q1L+IptRUlanpFN3UqaJSCPfuAXHP3xdsJW6UDqAcet6Y48svv7+ucO4usI9Ko3+02bFEtRMPCy7\n",
       "JB0Vmc2F+miMXugjy/u66SSo/8Rj2DhyaMo5D7h9IqmmrDgoLyPTCJlWOViuLKp9NRYc/VIkK8ro\n",
       "kbLNDq0iveRATirFbcGmiT+py1w5cNns+ZCixdLiRdU1/edSUeJlkmUkV3LIs1kPPaqcIXUap1/K\n",
       "FulksgmdVo0/o6vhj2o1kSRyn/tMkrKQMc0iUf4N5s7ioQz9paI4UJ4Q5m8mZ6ecHuKcboqfMhWF\n",
       "OnTEznJlVE4J69anzZGYJPPIm/mIpwUf/QDrK6eLrNQi7u+6ar1ujjMPgWyngLPCCSu3BFGg8k3A\n",
       "XmzFJjXalRkpGfNGSFMjm7PL/O9vGM+twRGDoGaMKCYNWql6KCBdbCqxndEyGhCTL0eH3G6NRHPe\n",
       "canHrNSlBgzElmkzxNNUzE6b49T9hOLb1Dwa4ykXENlmoAuOpI+IAq+yBmj8h0RoGhqLzfVPoOXi\n",
       "WrJxeXW0Kdoer7TPg+97cOR6Bgt79BCFF0CFXIewURra6NWzUW1jPE6LxbL6ShmlSmN2VDr1idIS\n",
       "LW8sDY5UeBbqPAlksFdMWYzCNf5hGa2vPoVau3ZgTYEiEJ8V9S1bL2+B3dWKqZF5h3yvIKZgbVnL\n",
       "mhvRkm+RAxHK6exCaeIu+a0AkkQJr6+nPguvfizOR7+I8j8s/w/KDanTHDGTZl8rO+D0PISHjzRG\n",
       "/48iMOkp+YbR7cQTth5Oy/KiEntlG8TFC9Uoaku+L/DIZN1qBp/nXz0HPKvXw5jz9LNqBFP7g4Go\n",
       "3O5WxLZrj8UfDFAj8Qm9pWCE9Bzwgc2b1Uhg2eChqeaAVSOZ3JAzvZ4D5rEmxojm1Nh2iW624JXX\n",
       "ZBuz4NIl0TeIl1HO9hUrdNKU35WjPse0q+WDk8nLHPBeMcfTSrJzxUeYd7dYLGoIZtffiKNi1vdK\n",
       "nDPmXDOjICVKhC5Sy11pcdT5sUObp5AInVCMyB1pq7z35NkT+PirRKVoj4tcbqsi+UyWjlb5JJwU\n",
       "ZU2/gN9vCaYvIDr3p76XoKCMprWy/63ZL1h902kckX5QfCXg6/5H0KJOQ3TuUzL4kMPfrbUiUES8\n",
       "GRuipTJRF5MxtqYIGdHX6doFeQOJiB03Rl/G5nYyPE+mBoeOIK/M4WtlycscgUZI54Bb/B0XM24C\n",
       "PaiTqYCMQvXo9OTCv9RV6W+KZUo+0IHibgiW567cFyBJljgxnBrlkGXG0ad1DpjBQqre8R+Vy0kp\n",
       "i2nXtUPSG+9Ih+QsWm6KQ/Mhn6HZ9ng1Gl9Sohia7tupvML/vK09Im+/LdXbOQe8r87FKEznNAcT\n",
       "+F9vvq14qPTNOLReugIVpZ5Xffk1lJJOA5U8aS+Dk1uIa6PLiEk78ndxSBPFPePuTsgfE42Deh2y\n",
       "Je3xhs2xooz0/IXm9umLlZ+Nwk5Zw50nf4QlVfBw7Tffprl2WEbWC8pHq+0IGTFvm1grSPZQn2ke\n",
       "PM8vJDeb2QeFLHHCkro2ucB4HJE+/17xeOaojiOzGaJ288k/joapnMdiBGbhdwzBu/g86RNUOBQN\n",
       "cUhWVOBYHhSS0W7j6aJsRINFJZZXc2p1ZuTFjcsDuClBeuEjHoYMCFBzznyMH/Ekxvc/huF9g4o3\n",
       "MUK25NsnivgI3yxmwXgZhfwgDYco5nKJp3BB7kqom3AJ+sq7z37/AUY9GZzbLXRyJm5dBNwzW+bk\n",
       "Lgf6DwI+eUk8qLcAN71cDLOT56SL7YlQipQm4opJp3HRgNdRuklzVN4gQSjkedJ78uy4N06CHtkM\n",
       "rDBkQC1U2CpLZi4oiUpJjYKJ5Hl6RV8/tAg6vBusfBEnTqHuuhiU2xuJmGUSYepSGfHGBDsTTYtd\n",
       "J3OH0hE4ImbI0w1UHkuaiwNOS+D/HgM+egV4/SPg10fqYmSfCGyW0fNXv7XClDql1TPltss8ozRu\n",
       "nAvl74za9bCnWGnsk+FoxS9GoMHAAdi9ZAle+VKiMTUPoInM031d8ln1nrMl9qtfKtRt29ei696a\n",
       "SJCRGJfOWEMKqhFw8OvUX4Z9ZENqJSrgWf2HYez0NuhWdQ56DPgOHeqOk7l9UcoSOCLh+ptTmV75\n",
       "bOy+v7Cy+QwkFI/ACXG6YseB8ntEQmPxv9v667gLc2HRjTKCqRzkoN7UafijWylMq1FCYcBOQCiy\n",
       "hqIscqqwslgUkY4NzbJWmtmjJ+a3jsCPX9VG9QWLUXZXMayvVUS85wUjketd3XuqOOXHpfPGaREu\n",
       "UfrlTrHOXCRrh0Vuigi8u0SxNkcbxCwugp31q+DV4cVR70QAtyyIwKIrpXPXRTbwmBWllunRUkKK\n",
       "WicC4UJltuRFj69aoDWudkkRvBzVsjnmiFIi7WkkAmehphKb204cIZOOiCI8Jkp4icwnMzoXFVSA\n",
       "Ht5CRVcn9z7kuPToL8EQknbac2kDtP7hR5SUetBSor5dtng56g8eoZIxZjo7WdoRTU8R8Wbi8hXI\n",
       "t3Y9jsqyq+rbd9qzxSX7D6ZcazPuG9R/8AHMvu9ude2E/GUoyiOVK6KiRJFr9NpbSg5oVVteqDim\n",
       "N2iEwyKDJCpeTXoM3zR+l7p0Wr6bdYj/2XGtvG0H6KFd+9gJLBLlWP1bcQqVDtSJ5ABCG8W8zM7m\n",
       "rEpVpdMTUDszUfYav/U+aoqfQDl5l1oDnvxCKnHmXeru+zQLKb8nRd7LyUYTDEWZJJ3JctKJYAd1\n",
       "sayQMKEoU2BKcyDNS/YiqxNWY9ldnXMu9CjlUqSwnbDEBE1j6GgMkzWLHO8GK6tsloYyKI/tiENN\n",
       "1MVarJA1wX9hIWajVaAtGJVKpkpR8AJpHHOvRUKNPSgmjSQ9N/cXSMCduAw7WifhQC5pqaRBu2Nh\n",
       "0Iw8+KOzaDj1E6wfEMS2Z64nMazQ+yieALQu2xkTT4/FrPa55OYJzLwBWCXtS+MTRdE+f1cUlpmx\n",
       "VnmvRvTpKojLF4t7ZwbzKCj1N1E6lTuqSMMoipwNaCXxfCZtlC9qFFkGp/OIHVroUlGGFxyVUa4o\n",
       "AZRJvAAAJshJREFU0qqrgam3AhXWROC7nsH7TFN8h2QgLCRJw7tQPMHnJ83nZUSVqoHeJz9D3T6d\n",
       "1Dn/vHrLMpREWfwy4CnEjP0Cd88T5Su1/4fufPc4PBfognHFxkjn4X3cjauUA0/52ELidCahCKXt\n",
       "O1YkJSvIJjgY0Uc6BW2PKAvCxjpyvDiAG8bOweheovgHr8e6unVwpk9zPLpClLPw90j/VvhxOFTA\n",
       "kK7vBjAhuf7PuFG2uSskgSDuKYAjFROx8kXgqs1A3+7PSHjNF7Dmyuuw5dqTeHIM8PTyPNjepjqq\n",
       "r94hlogyqJAYjzN7c+HPeheLVWEttlzUCTtOXowpLRsi/uMHUGpEbywZHImTP8Qh36545Jce05d3\n",
       "VEPzu9/Fyxd0R+W4UthbaytmCg8/dJGOkQSDKN2lM05KSM9j4qhUShq/U0nHZf70RpRqfxMi64p8\n",
       "LfsNYy/sj1WiB6jYZHpVyU3LvTLiFOVXMfYYPpJyG3DgOI7KCPekeMKv/2wkKt3WAeWbNsGsqyJQ\n",
       "9rHvgef6YteDPVH+huvEunhGzLKyNKychMy8ZjRq5Bkr3uh1sbjZRox/WfaYlXKiR3NJ0Vk3v5MH\n",
       "Ex87oTp0LPtvXgrI2m7pBErf8aSk4dpdTmtw+8CSNdqgRqFTUhtmoy3aY93DVbF9wUHEi7LmdMnG\n",
       "i5P5l5/2GzsiculA5Ik4g1XNCktwGLnoQqX3ywjWwfHOnryQKIrLYtfhr48G4nDhQlj3+TBc1KWn\n",
       "PVma88P1GsrC7WvUBg/lkuvHzhGfoXqnrmLdCtJcUXStr7ka06+9Gqe3bENpiSZWJlmBp8lQLkjR\n",
       "KGo9fiIWVq+GEv83GmekE3D6/q7Jd6Q+zZ2PusnLiVIupnMQ070bFsXEoGm/lzC34z0IVI1BzKRf\n",
       "U55qJKNpruOvvWxlyrVQB8c2b1G3xWiHJu9Jr9dCnLJhpDwpPjXC5hLJ7U8+g1brN6lUwZZEBgat\n",
       "rrQ8BTQaNAzTZDlkbmmHW40LdgKKSnNKRUxKWDIfZcRzfKcs39LTBa3EqY2UKJaIglulwhtyRUB8\n",
       "YqTrk82ILI2X7WtWrVqlzGyMpnLNNdcox6xwWC1QKj8arIpCUulTeBvDMUmUxnJpWvLKvyhURAM0\n",
       "xRW4Du/hJcRinawX3ov68c3QefvjuLbJ9Uph2520NB8J2COLLWYi9sAGDM7fDyV3FsKOakeV6Top\n",
       "Xx6MyT9D8m+C6ZvG4NtcozC4ymT16KLYhShQMALPlukub9uFoZt/RKn8pVPtQdx/SFPsuaMcyg+L\n",
       "w96o9WiUcDtmdk5A5CpxYtkbQN/bJmk2xIwYwFVrSqDJD2LyvfkUoqQTXmhHITwkDe6xw79iy58z\n",
       "8XyLV/HS2Q/wSr7e+PTI11gcuxxtYtqiaZFWmC8OHXR880LPvlUcNXApuj43RfodoshtxA5O0MrA\n",
       "rkouNdpctPgv7GoZi/X/NxKj71+qlE/ZHaKIKspaW+m/UEmfZXdQlNJdQ7l5hczTyShakUgozf5c\n",
       "7sLIXOw01D5SG6sLr1YjOCoZmsgjZSBwWn4PR0rgjT9fwA8xryFKFHLcRcEROtdvc/7+lpGirLpJ\n",
       "zpJvh8+ASXfLHObOaOy+7wvkLbsLDe/oh/g714gZXszbJYPp+F4qKk45kDg6PFxCrBdx0giVZihP\n",
       "4IZptZFQtzY2nwouzYmtrZIqHkoJb8uaB8+tfwsezCs8nVH57Csr/Eu79tBL4tXeRDBoICvhFgT5\n",
       "pzNfXE3ghYcFswqiMKs0kdFMJGqN/QWD+osTXKlgrncOEetDC9mvuk5wioBBVS6dJXO5rWU986GB\n",
       "SFwch2HRn4oX/glUk3Y9XvKqsiQX7mozCC/IrGxVsZa0ngZ0enolZMxkZRV/rp2B0Vuewcrqy6Sz\n",
       "Jz4TnzTDPS9PwoYNG3DJJZekSut0wumleQPeQq6addH8hpuckqS5RlP7SplXZjCeQ9KYL33hRdTp\n",
       "+zwiL6ohexQXwKKrr0BlmTs+e8sdiEke6epM1okF5aLOPfRpyu/hjatQompVrPryKxyVEXPpq6/C\n",
       "MXFwLC+jvrnDPkHbngKyD9qfSzq7HlpRmtbdiNMKKz75FFe9+Z5bkpTri15+HtEdbsGGG29FM+no\n",
       "+aF4sSyclg5N5V+n+Hks7LSbbrkJu5o3weXPPO05D06ZXHaZDG52+Ps2zy/IRgmzpQJmJKw3JfoB\n",
       "147S3MPwZldccQWeeeaZVEsA7Dh+/fXXSnHbr3NT5rkSrkgrGO4GQjMko9TQAev4keMp53yW97kL\n",
       "CL36uKmzNb2+r5/X50zD0To9UzcmrMb8rRNwzyXPKQXk9DxNlfT0pQcv79OsyHMuK3BKH3cgFlXK\n",
       "VUPBfM73rfwsHjkEp8V8VvuJp7Dk2edxyccfpvk+ps8lvWvyS9Mp5xN1GD6n91vz533O7egQgeml\n",
       "p1lqp8yl1apVS8zDYgKXbw2IJ3JEyXxqxH/wyEE8lb8LrvyyDBLznsTU0hPQaGdjPNhjAg4e34Nx\n",
       "C95Enn1H0aTDQ9i6czlaFrkFuTlJWTIJ/Vd0QsEV+1Apd03UjGqDy1t0w6Dn6yKpTn0cWj1VnMtO\n",
       "4trHp2DNhCHYlSDLrDrfhp/j+6B+bBMcvf5iLIwfhXIRDbGzcnUsbDsETzS9H50Hfozj4jU8aGhN\n",
       "RBVrg8OlTqDi5HWY2vYYKjVvjwq7ZPS7aDLubjYI0Y1bYs2Gubiv6BWotbIY6s4vgck3xyJqbxTa\n",
       "LG+JTQn/w4FG0aLJd6Ll+KNo3PUHjAy8g03F1+OzVutleUphrBgrgWYkZGGelqXw7rxu2FxggSx7\n",
       "y48Ky8TiUf8U6h+/BisKTEG55fnFdH0Kdf6Sjkj+ithbOYB9Bbaj6/JuqNzkGkwc/yBm33ZQ+RZE\n",
       "HqmOyLxVUK9GO6ya8ilKxOfGXR/8KSOgQkq+NpxegxfjbsLzEYNQr9K1KfKxbfdq7JVIVZVK1EjZ\n",
       "jF2Xr15mxV1vtDzwmOZ+eoDrzdt1eqfzJHEIorLhUiqn+7o+6fxpvtwqC7KZNlT6fatXo5zED1hR\n",
       "42IE7umI6GeeQunk3THIzwn5v/aFlxHd5T4Uv6RBCv9c363rAvPnt7BO6vdrfvbJYKBi8yt4iqVN\n",
       "GyHqy5GIb9YaR69qg0uGDcY6sUqclR2RGr32NvbHrkVuUXLMj+0Il+fwu0PxTz+GPDIK3yDOhhX7\n",
       "9pG3BBBZvgLi58xBtY73Ys3wQajbo7t6vxXfeS/1Q8y9/8HWgYNwycAhWFmoII5fdQViPnwfW2T9\n",
       "dCMZXW+bNx95xWt+x5ixOCmj0nqTp6KwzNmS5lWMQvn9h5D45WfIJ/Mt0e1vxyH5DeyMU1HdFjzb\n",
       "B03E/4K0RBzXSouJnM5wezauRulqyT1MdTf1nyUPdMfROXNRQPCOvuM25PNY3syF7f7111+v5CR1\n",
       "rjnvLNspYPaS69Spo/ZvZChKVgYqpy+++EItR/rkk09cS4GV9YR4SdrpYomKP23aNAnIHxQYbrPF\n",
       "UbZeHmDODR5GHkx9MO1BPtV0/tvt4bp162QnsSvNCNiuyP6Jc873du/ePc1IlqO0O2Sd6sSJE32z\n",
       "wRH09OnTUb16dd/PmgcMAgYBg4BB4J9D4HwyQaedwPvncHZ8k9UJa9y4ccisSFiOLwtxkWay9evX\n",
       "h0iR+pZTKMrUKVKf0eRLs5MmmqpolnYjeyhKt3T6upf0DNnHjg1p82aZLPVBnCbwSjoUJc2VXog8\n",
       "/ROhKL3wwjShQlFa8+B0yT8ditL6frdjNmh+yC09v017AOv8aKqlrHklyoCfkLKsVzRJeiW/smNf\n",
       "JsOgP6GI1jj7pvOh0nuph3xeL6XjVE1WhqJkbH22NV7IhKL0glLG0tDtJdsRI2HZnbAYCUvP4f4T\n",
       "DHOOyo9/mp4f88obIx9Zww/y3Bpq0p4PTfGh7oeTnt/I+SlSeiHt7PlbQz3a79nP+Q5uY+eVf6Yn\n",
       "b16JpkPOZ1spFH9+y4rzm9o8aX2H/Vjnay1Xexqnc36rn2c0NrrsnPK0XvNbtm7piYOdT5YpZdMr\n",
       "+U3P99FPwSv5lR37N7l9u34/5cBPu8Cy8iL3Wob5vV7LlTylx6/mW/+yXlhDaerrTr9+y8oJe7Zr\n",
       "XuqO0/vPh2vZbg44K0A3JuisQNXkaRAwCBgEMh8BY4LOfEwznCOXInTt2jXD+ZgMDAIGAYOAQcAg\n",
       "kB0QyHZzwG6g1KhRQy1Ncruf2dfNHHBoRM0ccFp8zBxwWkzsV8wcsB2R4LmZA3bGJadfzZYKmI07\n",
       "PaG5DKlmzZpqEf4777yTZqeNrCwcOn/4cbagoxGf8UqscHxGE9f2hXK+IC9enZiYp5f0TENHC5J9\n",
       "L2N1McQfa6jHEMnULTrq0PGDayG9EHnygz1xs2Mfij/yQ2car8Sy0s5qoZ5hGjrSURHbnZVCPUde\n",
       "yJNXYnp+r/2b3Z6n85QfckvPb7Mv86NMenXqIQ+UATogeiXWET/p/fJDDK31MJTckGe/ZUtsuKwn\n",
       "PaIMsw0gxl5kTefnBxs+Q374Hi9Evv2ULbG311t7O+flvedTmmyngLNiM4bzqUDNtxoEDAIGAYPA\n",
       "uYFAtlPA7AFeJBFtGPmKHnv0xGOEqF69evlavnBuwG+4NAgYBAwCBoHzFYFstwzJug440zZjCKN0\n",
       "uaE7l854JS6V8LMcg/GtrUs6GKYu1HKFihKq0M+m7V7S0ztcL2mJkaDwfkiHofTyDHFh/l6XI5An\n",
       "8uaVihUrpjpr1vSh+OPSjXLlylmThzymLHhZusEOI8vUWq4hM06+GSUhE/3IDtOTvC5XCYVFMgup\n",
       "ftzSl5UNErhsx0qUyUqVKlkvhTymDFSuXDlkGutN1is3fqzp9DH5o+x7JXs91OFY3Z4vLiEd/SxD\n",
       "Ii9eZIcyTJMvTfS6TrrxYL0eHR1tPU33mOn5Li9Evv2ULbG311vi6+X7vfCTE9Nky2VIFHD7OuCM\n",
       "bMZgliHlRNE132QQMAjkRATOp2VI2W4ETIFiUIUOHTqo/zlRwMw3GQQMAgYBg4BBIFsq4MwuFjp2\n",
       "0XuT26Z5JXr/0TvSqwmG3pH0XtQ7nqT3HnoL0jSjzdz0xqRJ0S2yDUPU0Tzv1QztJT2/kSY+8sGQ\n",
       "eX5Md3FxcfBq/iL23FqM6b2YZ7WXMk2eXohenfScpq+AJn6/m5mZ5cryonnMCxEnmtdCRddiPix/\n",
       "fquOyuXV1EfPW8qBVzM001NWaM4tWjR5f8QQH8LQj37Mvm7p6X1N86jVDM2yYvx2N6ztbNFTlh73\n",
       "3GXMC7Gc+L1ezdB+ZcdetvQADyV39Ople0JTtBfyUg+ZD72gaYIm/5Qzr7LAkK12s28ovhhylvXE\n",
       "S3Qx1inio6c8QuXLe5R/4sMpG0306WH74vV7+BzrkB8zv37Xufh7XihgKlGasL3OQbIg2aj7EQRW\n",
       "SlKoeVyVIPmPPT0bVAqdvm5Ny2PODTFv3bjb79vPvaSnMmQ6vpeV34ty1O/xk57563fp50P9ahy8\n",
       "znFqzKzYs6zZ2DuR3/y9YMn3sGzIs17aZeXHiQ99zWv+1vTEk/nz2fTIT1kxL7f0ugyJnya/WIbK\n",
       "X+dp/WXZsgEnT17ILz/Mn+Wm61UoueH7nWQtFF9ey1bXbcqOPg6Vr77nVlb6vv2X+OhytN9zOif/\n",
       "Xuuhlgtrp5Dfwuf5Tq/Eb/LTYfSab3ZMly3ngLMDUCNGjMDUqVPVDkxe+GHAeK5fvu2227wkB/co\n",
       "pmOSl43MmSHXQT/44IMpI+b0XvL222/joYceSnfUpvN58cUX8eqrr+rTdH/9pGcvfdKkSXjggQfS\n",
       "zZcJONIaNWoUevfu7Sn9X3/9pUbY7du395Se+8tOnjwZPXr08JR+zJgxqF+/fsp2luk9xK0v2fBc\n",
       "IZ78XmjYsGG44YYbPI9khg4dinbt2nlO76esyK+f9ByhDho0CM8++6yXT1WdvX79+qF///6e0i9d\n",
       "uhScE/RarzgCGz58OJ566ilP+XPDF+6SxvL1QjNnzlQdrKuvvtpLchU86LHHHvM8Ahw5cqTaio/W\n",
       "Ii/kp6yYn5/0HI2/99576Nu3rxdW1Brgr776CvxeK3EbWMZzMJQWgWy3DCkti+aKQcAgYBAwCBgE\n",
       "ch4CRgHnvDI1X2QQMAgYBAwC5wACRgGfA4VkWDQIGAQMAgaBnIeAUcA5r0zNFxkEDAIGAYPAOYBA\n",
       "HnGI6HcO8PmPs8ilKvSEtrrUh2KCHoBcouE1Pb0LS5Uq5dmpSnsGevUmZP70JPSanvl7XepBHPyk\n",
       "156XfpZL0CvVqyckPVO5dIN4eiHyQ29Xr0thmD/L1W2JmP2dTM8lSF6XqhBL8mJd3mPP03rOsvWT\n",
       "3k9Z8T1+0mvPV69OQyxXP/kTS+LudcmYxsmr7Pith+SHXr5cEuiFmD+x8epJzPRc0uU1GpYfLMmv\n",
       "3/T8XjqLeiU6H9qXbtLJLb0lfF7zz2npjBd0TitR8z0GAYOAQcAgcE4gYEzQ50QxGSYNAgYBg4BB\n",
       "IKchYBRwTitR8z0GAYOAQcAgcE4gYBTwOVFMhkmDgEHAIGAQyGkIGAWc00rUfI9BwCBgEDAInBMI\n",
       "GAV8ThSTYdIgYBAwCBgEchoCRgHntBI132MQMAgYBAwC5wQCRgGfE8VkmDQIGAQMAgaBnIbAeaWA\n",
       "J0yYgNdffz3sMuRWYdzR57LLLoM1fslLL72kdrPp1q2b2tfTzwu41+lNN93k+si3334L7pZjJTc+\n",
       "yNONN96Inj17gnu6+qUrr7xS7ZPr9zmdfsCAAWonl3vuuUcFMeF17lTEc+5UxJ1e/NLzzz+P33//\n",
       "3fEx7mrUvXv3NPec+GAi4nbttdeq3ZbSPJTOhYzKTmxsrNrRhzskcScsTRmRnfR4evLJJ7F8+XL9\n",
       "KvXrxAf35+VOW5Qd4k2c/FB6MuwlL6cyGzt2LG699VZ07NgR3IXIL4WSZ6d6xfyd+OB17n/tdbct\n",
       "prdSKBm2pnM7dioz7idO2ac8v/nmm26Pul5PT3acdnviDmLctYv31q5dmypvfiN3PDPkD4HzSgFz\n",
       "02tuHq6JUV54zU7cB9iJPvjgA9SqVUttU7hu3TpMmTJFKQdWhp9//hk1atTAkCFDnB51vcbIN/Hx\n",
       "8a73ud0bt1izkhMfv/76q9q4/KeffsLtt9+O1157zfqIp2NuG6gjG/EBRgKzE/fYZTQdO82dOxez\n",
       "Z89W2/y1aNECb731lkryxBNPgFsjUulwqzIqTT/EDcHdyoN8cAN1K7nxsWHDBrUn9MKFC1P2dLU+\n",
       "l96xXXaopLhdm50YQc2JuDXkCy+8gO+//16VDTcqZ8ciI7Jj58n+3r1796bh0YkPytPll18Oyg7p\n",
       "u+++s2cV8txJhjMqO8Tlo48+wjfffINPP/1UbU1plc2QDCXftMuz9RmneuUmO6xbrFNUhOGQXYZZ\n",
       "bmx77ORHdthRuO666/Dbb7+pzsmiRYvs2YU8T092duzYkep5lie3JRw9ejTef/991clnAuJ43333\n",
       "4fPPP0diYmKqZ8xJ+gicVwrYCgcrN3tyHTp0UPu2shHhyJG9bVa2OnXqpFEWf/75J+68804VxvCO\n",
       "O+7A9OnTVR7cD5VKknuX+gm3aOWHx3Xr1k25xP1PqTScyImP5s2bK0XH9AxjZ69ATvm4Xfvjjz/Q\n",
       "qlUrdO7cGRdffLHaj/Xrr79WvV+OksgnOxxWmjVrlhqtMPQlR7zEhsQKW7FiRRWKj2EI7QrTmkeo\n",
       "Y1ZwKgoScWaldyI3Pvhedo64N2lGiErgP//5j5KTli1bpuyDy04Hy4wjtquuuipNA7tz506193Nk\n",
       "ZKTCdsGCBf+K7Djxwf1bKfOk7CI7DF3IUVr+/PlViE7y7aS0vJRl165dlSWGaVnvude3E7nJDpVM\n",
       "Zozu+A1sc1ivKIfjx49XbIQjO9y7m23Qtm3bVAeechUOsVNhHdlb2yBrfhzxcu9yhljl3sls79gJ\n",
       "5YCG9Z3WP0P+EThvFTAbUppUJk6cCPY8KYhUwg0bNlSVjYqYPV8rsUetY8Ayzi97tpoef/xxZe7j\n",
       "CDlcso4seezW43fig/FpixQpohTvo48+6nnDcydeOXKiwuVojSYubjCvGz/2uGkS52jWSlaeWEk5\n",
       "giFR+ZK4sTcxa9KkiTr3+4fvZ/mQiIsVK2tebny0bt1aWS+sacM5ZoPDRpSN5y+//KJGaMyHZlhu\n",
       "Sk98SBs3blS//HPgwIFUcZ7/Ldlx44Oxh9lxmjFjBrhBPadZwqXMkp2IiAgV/5mNPDtbzz33nOd4\n",
       "ynbeKTe6LlGOtCzb07nJDjsn4So46zto6eIokhjTQsRfUriyw04lFR/jZBcuXNj6Kl/H1rpkPbZm\n",
       "YsWG11nH2f4x7jNH4obCQyBveI+dW0+xAtqDobPBuf7665VSYMNE0yqJvVESK5zdxEglx94wg+bT\n",
       "hGMNED9q1CgsW7YMDz/8sKf5Ks2Tbhj4TuuxWyPBdG58bN68WY3o2ctv3Lgxk6ZLfA9HpvyviZ0M\n",
       "NsJsBIkNg6mTvGDDdOzQWDdG6N+/P1atWqVGw7zvhTQ+Tmm9YMPn7Hw45ZXeNTsfbOg4r835SSou\n",
       "zQvlSWNulx0+YzUvZpbsWHn3Ijuh+GBn88UXX1SWDcqXF9LYWN+dmbLDqQeO8mhReOSRR7ywpMrD\n",
       "Ls/WB3V5Wa/pY12veJ4VslOyZEk1X/vuu+/iwgsvTGmTwpWdsmXLqmkw1nf+f+WVV/SnuP7qMnNL\n",
       "4IaPFRs+y7Lh9xjKGAI5fgRMB5NrrrlGoUQTEHeR4Sjm448/ViPcMWPGKDOXFjy7orbCSxPM/Pnz\n",
       "1SXOF9WrVw98nnmRKNxWpawuuvxp1qyZmjNhL1bvysOGjIJNXqwjKHsWTnywd82eOk21dBLzShwt\n",
       "0+TMni9HG2ykOZrnKJcmQJrK+F0kv9jwGSpflgEVFs2JXogjA5rYSLrM2BnQ8/fr1693zcYJG9fE\n",
       "6dxwkh3Ok7KMONKl8wuPSdwFxtqJsWbNBpamXVoFWMacr6OlJBzZceKJ7/IiO2580JeBIzJahLQs\n",
       "Wvl3O3aS4cySHdaBW265BXfffTfoR+CVnOT535AdJxnm3OnNN9+sOjmsq7pehSM77JDoeV+v7Y6T\n",
       "7FixYRviNHdP7DkVxakfyhnNzywfr/XZa9mdj+ly/AiYCrFKlSrgfB2Fiw0oe+kUKM4NUelwxBLK\n",
       "EUoLxtNPPw3Ol3HOlz1YOjqxAe7UqZNyQOKxVhz6GbdfejDS8YXCTIcKEueG6CXLre9CjUKc+KBz\n",
       "Dc1EXbp0UXlxa0Ft4lIXXP6QdzZaVMD6Wc7p9OrVS+HEET+xCcUPs2bDwoacv+xU/Pjjj+o5YkQl\n",
       "TtM+6Z133knpEKkLDn/YYRo4cKDKj+/lvFRUVJRSEnR+I/Zu5MSHW9r0rjvJDhUpRzAsP1pNaE7m\n",
       "iDY94ndz7piOKvQkpaLj3Jtf2XHiie/2KjtOfBBvWnvoNUzi9AtNvumRkwxnluxQdjknS6XB6QsS\n",
       "p0KIdyhykue77rpLWaYoh6yjWhbt+WSm7DjJMPPnKJWmfiovdi69kFOZ9ejRQ5URO8zsGNtXSjjl\n",
       "6yQ7lEOak9u1a6e2DKRVx4nYJlF+6QPCMqFjpaGMI3DebEfIRtK+nysVMgXYL7ESsyG2Ek1WoRSD\n",
       "Na0+ZqPHysORiSYqPObDXnF65MRHes843dejJyv/zJt75lp5c3rWfi2zeGK+xMK6jyj55DUvZZaZ\n",
       "fDjJzuHDh9Wcu/370zunArbv+xuO7Djx5Ed2nPhIj3en+04y/G/LjpM8s6PNUZsde6dvykzZscsw\n",
       "R6vEzFrXnHhwuuZUZpklO17lmTiyTfDSPjl9g7mWGoHzRgGn/mxzZhAwCBgEDAIGgX8XgfSHWf8u\n",
       "f+btBgGDgEHAIGAQyJEIGAWcI4vVfJRBwCBgEDAIZHcEzksF7BTijnMbTmEmnULThQrJFk6B9+uX\n",
       "NoSk0zucQtLp93E9MyMtZZToYOEUltArDvT0pXNOuCHy7Pw7lZUbDk48Mj/tUculUBklr/y4ydPK\n",
       "lSvVkho65NCpKCPkp6ycMKMTIj2Z9f+XX345I+y4hh11Khcn+aaXLZ24iI19DX44jDnVKyccdN72\n",
       "cIpOfOu04fw68eOEg87bzo/T8zqt31+nELFuMsu842yhOOmBzaBErOc6gppfHkx6QUAcFs4rksXj\n",
       "AWlwAuIIEeCxeEQGpIEOyJKSwIcffhgQIQyI12RAKkZgzpw5AVkuEBBv14B45QakQgTEWSHQqFGj\n",
       "gKyPDUiDEZAADxnCT4I5BP773/+qPGRpS0C8G13fIQveA4sXL1Z8y3IbxQMfFI/EQExMTEDWIGeI\n",
       "Fz4swSQCsjxG5dOnT5+ABNzwhYN0AgISZ1c9T36loqvjcP64lZUTDk5lpd8pXqQB8eIMSKOhL4X1\n",
       "64cfJ3kS5x4lb8xHllQp2QqLkeSHvJYVkzthRlkXx54A+WrTpk1AQolmhJ2ARE8LSKjRgHjUq/wk\n",
       "Hrkv2ZHlcwHpJAXEsUjVUfESDpsfp3rlhoM4YwbuvffegHgAB8T7Wr0zlDyFw5QTP25tiRM/Ts+H\n",
       "w4d+xqmsnGSW6flutpMSHVA/HhCP+YBE4QqIM6Bqe1jmhvwj8Lf77XnSHXELccfwjsOHD08VZpJL\n",
       "HhhakF5/7JnTBZ9rE7nWlK77/K9DsoW7Jo4hJHWACx0G0Br2zfoOLlvgu0kMFclwhm3btlXLqBgv\n",
       "NzPC5XGZlQ6iofnhMiSvOOhlWBkNkcdvdCsrJxwYBMXOI/PgqGr16tUqmAPPM0J++HGSJ3qVS+cN\n",
       "8+bNU16k3BAgI+S1rPgOJ8woOyTKDkfBWg7VxTD+6LCjfJRrorkczR7e0a0OcUUCo2hxqRCJoWBZ\n",
       "pgw2EQ451Svm44RDzZo1Vf1mVCdNTnzre+H8OvHjVs+53p3tjZUfp+fD4UM/41RWTjLL5VT05Gbb\n",
       "wghwmqZOnaoOiRPrRagYAfoZ85sWgfPOBM2F51wPR3OLNcSdNdSaDhVovUZFSPOq9Rrh5HUZ0aRF\n",
       "1uMVrnO1h5B0egcDc1iXUGge+RqafP0uF3JjzyksoZUfLzhkVog8p7LicgknHJx45LINrmcVy4bb\n",
       "5/q6Hi4/uqzYkZHRhFIsDH7CRjYj5LWs3EJQ8t1cFkNTK9eWZ5Scwo46lYv1Gt9JmaICFisOvvji\n",
       "C6W0uVGFl7X5bjw71Ss3HJzCKVp51DLv9i4v1534sb6Deei2xIkfp+e9vNctTXplpWWWz7uF4uS6\n",
       "/969e6vOrQ4q4vY+c90ZgfNOARMGrvPjJgwcReoQdxRw9vRIXGNJJW29xvV2HBlarzEt88poSDaG\n",
       "kOTIQIeQdHpHdHR0yHCG5CWziPNvbJC54QJ5sfLjBQcdIk9/U0b4spcV1wCTB02hyuqNN95QgRsY\n",
       "15rRszjiZEOfEQqHH80j16EzkD3n9hh5ikFF2KHICHkpKzfM+F6WMSOnscHNDGLkM1pmOMIi+ZEd\n",
       "RnGjUuI3MQRlRjY24bvt9SoUDkxvJSe+rffDObbzY30H80uvLbE/Hw4P1mdClZWWWWt6+zFHxyxr\n",
       "zg+zQ2nIPwLnnQLWDjn2EHdOIQydrmV2SDb28u0hJJ3ewYX7NAnbwxn6L/LQTziFJfSDQzgh8tw4\n",
       "ciorjvSdcHDikbG+udcylQunCNgAZySAQEb5ofLV5ccRA4/5LeGS17Jyw4zvpQJmZzQzyCnsqFO5\n",
       "OMk3y4cR5tjx4zSG+DooM3S4fDnVq1A42N/jxLc9jZ9zJ37ccHDK1+l5p3Rer3ktK6f8WA84fcEO\n",
       "A4myrKetnNKbayEQ8D9tfG4/IfuLBkSZBRo0aJDynw4xdCiQhiggjXZAtpVTjll0LBCP4IA04gEJ\n",
       "tB+Q+SP18TJnFpBwgsoZS0xlGQKE+ctoO4UXvpvk9A4JYRcQr8OAhLBUjlfWF0tjnClOWBKjOCCh\n",
       "O1P4oWOGHxzomEaHHxnBKGc2OpqES25l5YSDG4/63WLuzbATlh9+nOSJvIifQUDCRgZkTi8g2+Jp\n",
       "9sL69VNWTpjxpZQlOktllGT7y4AouIDER0+RHToyupWLk3zLCDggVpOA+FkonDLCk1u9csOB75Kd\n",
       "ilKcsNz4DpcnN36ccNDvsPLj9rxO6+fXrazcZJZ50xHV6oRF50y2geJ3EaCzpqHwEDCRsGydE/bq\n",
       "7KMSp2ucQ2aPOiMjKtur05y6vcMpJF2ah7Pggh8caCYOJ9yeH7adcHDi0U+eGUnrlR+OGPg/XMc9\n",
       "Lzy64eDEo5f8MprGiR8n+eY11inWrawkrzg48Z3ZfDnhkNnv8JOf12/mSJjx0OkbYSg8BIwCDg83\n",
       "85RBwCBgEDAIGAQyhMB5NwecIbTMwwYBg4BBwCBgEMgkBIwCziQgTTYGAYOAQcAgYBDwg4BRwH7Q\n",
       "MmkNAgYBg4BBwCCQSQgYBZxJQJpsDAKZiQCDh3CZCpfDiMc+GPUq1BpmrifmJvaGDAIGgXMHAaOA\n",
       "z52yMpyeRwgwahOV7pIlS1SwA4b700FjNAxWhcywhvag+PRQNWQQMAhkXwSMAs6+ZWM4MwgoBLhc\n",
       "iYETxo8fr5Z9MOoQo7jJemI1St60aROGDBmiohFNmDABPO/UqRNkUxFwxyOrojaQGgQMAtkHAaOA\n",
       "s09ZGE4MAq4IcF2sBEgBN7ngpgUMr/n999+r7eC4raHsqAUJqoH27dtj8ODB6Nmzp7pPRf3jjz+6\n",
       "5mtuGAQMAv8eAlm72v3f+y7zZoNAjkNg9+7dkG0VUaJECbV3NQMg0FRdvXr1VN/KjQwYZ/r9999X\n",
       "eyEz1rMhg4BBIPshYBRw9isTw5FBIA0Co0aNUs5Y3NDh8ccfV/O93DWHI19G1eJ2cIxMRJI9qtXW\n",
       "jLJnK2bOnAlGfTJkEDAIZD8EjALOfmViODIIKARee+01ZU6mMxW36hs5cqS6zm0Me/XqpUbC3MGL\n",
       "gforV66stvHjntYPPfQQJI4whg4dCu4tK3F7DaIGAYNANkTAhKLMhoViWDIIpIcA4/Xmy5cvVcxk\n",
       "joQlJHzKNa8xfdN7l7lvEDAIZA0CRgFnDa4mV4OAQcAgYBAwCIREwHhBh4TH3DQIGAQMAgYBg0DW\n",
       "IGAUcNbganI1CBgEDAIGAYNASASMAg4Jj7lpEDAIGAQMAgaBrEHAKOCswdXkahAwCBgEDAIGgZAI\n",
       "GAUcEh5z0yBgEDAIGAQMAlmDgFHAWYOrydUgYBAwCBgEDAIhETAKOCQ85qZBwCBgEDAIGASyBgGj\n",
       "gLMGV5OrQcAgYBAwCBgEQiJgFHBIeMxNg4BBwCBgEDAIZA0CRgFnDa4mV4OAQcAgYBAwCIREwCjg\n",
       "kPCYmwYBg4BBwCBgEMgaBP4f7wKltthxh30AAAAASUVORK5CYII=\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%%R\n",
    "par(mar = c(5,5,2,5),cex=0.8)\n",
    "plot(spx.krv, main=\"SPX, DJI and VIX\", ylab=\"Realized volatility\", xlab=\"Date\")\n",
    "lines(spx.krv, col=\"red\")\n",
    "lines(DJI_RV, col=\"green\")\n",
    "\n",
    "par(new = T)\n",
    "plot(VIX$VIX.Adjusted, col=\"blue\", axes=F, main=NA, xlab=NA, ylab=NA)\n",
    "\n",
    "\n",
    "# adding a scale on the right hand axis\n",
    "\n",
    "axis(side = 4)\n",
    "mtext(side = 4, line = 3, \"VIX adjusted close\")\n",
    "legend(\"topleft\",legend=c(\"SPX RV \",\"DJI RV\", \"VIX adjusted\"),col=c(\"red\", \"green\", \"blue\"))\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<font color='blue'>\n",
    "Comment: VIX is a good indicator as the volatility of SPX and DJI are highly correlated."
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}