{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Lecture 30: Chi-Square, Student's t, Multivariate Normal\n",
    "\n",
    "\n",
    "## Stat 110, Prof. Joe Blitzstein, Harvard University\n",
    "\n",
    "----"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## $\\chi^2$ Distribution\n",
    "\n",
    "The Chi-square Distribution is denoted as $\\chi^2(n)$ or sometimes $\\chi_{n}^2$, where $n$ indicates the _degrees of freedom_. It used everywhere (I think you used it before in feature analysis). It is related to Normal distribution.\n",
    "\n",
    "Let $V = Z_1^2 + Z_2^3 + \\dots + Z_n^2$, where the $Z_j$ are i.i.d. $\\mathcal{N}(0,1)$. Then by definition, $V \\sim \\chi^2(n)$.\n",
    "\n",
    "You will find that in a lot of things involving statistics, the sum of squares of $\\mathcal{N}(0,1)$ often pops up."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
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PPyciogULFhAAWrhwIdlsNiIiOnbsGAGgJ554oszP/MEHHxAAWrlypfwM+/fvp9DQULr2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\nEAOc/wf1N+fSH4Gx/wAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x214a4de9ef0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "from matplotlib.ticker import (MultipleLocator, FormatStrFormatter,\n",
    "                               AutoMinorLocator)\n",
    "from scipy.stats import chi2\n",
    "\n",
    "%matplotlib inline  \n",
    "\n",
    "plt.xkcd()\n",
    "\n",
    "dof_values = [1,2,3,4,5,6,7,8]\n",
    "x = np.linspace(0, 10, 1000)\n",
    "\n",
    "# plot the distributions\n",
    "_, ax = plt.subplots(figsize=(12,8))\n",
    "\n",
    "for d in dof_values:\n",
    "    ax.plot(x, chi2.pdf(x, d), lw=3.2, alpha=0.6, label='df={}'.format(d))\n",
    "   \n",
    "# legend styling\n",
    "legend = ax.legend()\n",
    "for label in legend.get_texts():\n",
    "    label.set_fontsize('large')\n",
    "for label in legend.get_lines():\n",
    "    label.set_linewidth(1.5)\n",
    "\n",
    "# y-axis\n",
    "ax.set_ylim([0.0, 0.5])\n",
    "ax.set_ylabel(r'$f(x)$')\n",
    "\n",
    "# x-axis\n",
    "ax.set_xlim([0, 10.0])\n",
    "ax.set_xlabel(r'$x$')\n",
    "\n",
    "# x-axis tick formatting\n",
    "majorLocator = MultipleLocator(2.0)\n",
    "majorFormatter = FormatStrFormatter('%0.1f')\n",
    "minorLocator = MultipleLocator(1.0)\n",
    "ax.xaxis.set_major_locator(majorLocator)\n",
    "ax.xaxis.set_major_formatter(majorFormatter)\n",
    "ax.xaxis.set_minor_locator(minorLocator)\n",
    "\n",
    "ax.grid(color='grey', linestyle='-', linewidth=0.3)\n",
    "    \n",
    "plt.suptitle(r'Examples of $\\chi^2_n$ with varying degrees of freedom')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "### Fact: $\\chi^2(1)$ is $\\operatorname{Gamma}(\\frac{1}{2}, \\frac{1}{2})$\n",
    "\n",
    "#### Proof\n",
    "\n",
    "Let $Y = Z^2$ where $Z \\sim \\mathcal{N}(0,1)$ and $y \\gt 0$.\n",
    "\n",
    "\\begin{align}\n",
    "    P(Y \\le y) &= P(Z^2 \\le y) \\\\\n",
    "    &= P( -y^{\\frac{1}{2}} \\le y \\le y^{\\frac{1}{2}}) \\\\\n",
    "    &= \\Phi(y^{\\frac{1}{2}}) - \\Phi(y^{-\\frac{1}{2}}) \\\\\n",
    "    &= \\Phi(y^{\\frac{1}{2}}) - \\left( 1 - \\Phi(y^{\\frac{1}{2}}) \\right) \\\\\n",
    "    &= 2 \\, \\Phi(y^{\\frac{1}{2}}) - 1 \\\\\n",
    "    \\\\\n",
    "    \\Rightarrow f_{Y}(y) &= y^{-\\frac{1}{2}} \\, \\phi(y^{\\frac{1}{2}}) \\\\\n",
    "    &= \\frac{1}{\\sqrt{2\\pi}} \\, y^{-\\frac{1}{2}} \\, e^{-\\frac{y}{2}} \\\\\n",
    "    \\\\\n",
    "    \\operatorname{Gamma}\\left(\\frac{1}{2}, \\frac{1}{2}\\right) &= \\frac{1}{\\Gamma(\\frac{1}{2})} \\, \\left(\\frac{y}{2}\\right)^{\\frac{1}{2}} \\, e^{-\\frac{y}{2}} \\, \\frac{1}{y} \\\\\n",
    "    &= \\frac{1}{\\sqrt{\\pi}} \\, \\sqrt{\\frac{y}{2}} \\, e^{-\\frac{y}{2}} \\, \\frac{1}{y} \\\\\n",
    "    &= \\frac{1}{\\sqrt{2\\pi}} \\, y^{-\\frac{1}{2}} \\, e^{-\\frac{y}{2}} &\\blacksquare \\\\\n",
    "\\end{align}\n",
    "\n",
    "Here's a quick graph to illustrate."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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i43RaE22ZqDWVLUOhUJxO6TXJhpI2ZeKqtHdiHFPqzTUuS5+XrgKmmrGqMCve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\n13bnmko127nNHYbe05vf7xK0nzLPKaecsvZGm0T7Ke2nWoGkfgrM9VW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SfEGes/qaR5qz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\n9EaeKEQAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x214a5df63c8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from scipy.stats import gamma\n",
    "\n",
    "_, (ax1, ax2) = plt.subplots(1, 2, sharey=True, figsize=(14,6))\n",
    "\n",
    "x = np.linspace(0, 20, 1000)\n",
    "\n",
    "ax1.plot(x, chi2.pdf(x, 1), lw=3.2, alpha=0.6, color='#33AAFF', label='df=1')\n",
    "ax1.set_title('$\\chi^2_1$', y=1.02)\n",
    "ax1.set_xlim((0,20.0))\n",
    "ax1.set_ylim((0,0.5))\n",
    "ax1.legend()\n",
    "ax1.grid(color='grey', linestyle='-', linewidth=0.3)\n",
    "\n",
    "# gamma.pdf API: scale = 1 / beta \n",
    "l = 0.5\n",
    "ax2.plot(x, gamma.pdf(x, 0.5, scale=1/l), lw=3.2, alpha=0.6, color='#FF9933', label=r'$\\alpha$=1/2, $\\lambda$=1/2')\n",
    "ax2.set_title(r'$Gamma(\\frac{1}{2}, \\frac{1}{2})$', y=1.02)\n",
    "ax2.set_xlim((0,20.0))\n",
    "ax2.set_ylim((0,0.5))\n",
    "ax2.legend()\n",
    "ax2.grid(color='grey', linestyle='-', linewidth=0.3)\n",
    "None"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Fact:  $\\chi^2(n)$ is $\\operatorname{Gamma}\\left( \\frac{n}{2}, \\frac{1}{2} \\right)$\n",
    "\n",
    "It follows then that $\\chi^2(n) = \\operatorname{Gamma}\\left( \\frac{n}{2}, \\frac{1}{2} \\right)$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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Hh5PBYCAioujoaFY/PT09qWPHjtSnTx969913XV7z8OHDJJVKSalUEgCqX78+Pfvss9S/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OVtlWodpS5dugDhFY/qbPUyPyJU2JTTpaOj07qoMfHBmfLzzz/7bVuyZAk7duzgjTfe4PDhwyEL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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x214a72049e8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "_, (ax1, ax2) = plt.subplots(1, 2, sharey=True, figsize=(14,6))\n",
    "\n",
    "x = np.linspace(0, 20, 1000)\n",
    "\n",
    "dof_values = [1, 2, 5, 10, 20]\n",
    "col_alph_values = [0.8, 0.6, 0.5, 0.4, 0.3]\n",
    "\n",
    "for df,c_alph in zip(dof_values, col_alph_values):\n",
    "    ax1.plot(x, chi2.pdf(x, df), color='#33AAFF', lw=3.2, alpha=c_alph, label='df={}'.format(df))\n",
    "ax1.set_title('$\\chi^2_n$ for varying degrees of freedom', y=1.02)\n",
    "ax1.set_xlim((0,20.0))\n",
    "ax1.set_ylim((0,0.5))\n",
    "ax1.legend()\n",
    "ax1.grid(color='grey', linestyle='-', linewidth=0.3)\n",
    "\n",
    "# gamma.pdf API: scale = 1 / lambda\n",
    "l = 0.5\n",
    "for alph,c_alph in zip(dof_values, col_alph_values):\n",
    "    ax2.plot(x, gamma.pdf(x, alph/2, scale=1/l), lw=3.2, alpha=c_alph, color='#FF9933', label=r'$\\alpha$={}/2, $\\lambda$=1/2'.format(alph))\n",
    "ax2.set_title(r'$Gamma(\\frac{n}{2}, \\frac{1}{2})$ for varying n', y=1.02)\n",
    "ax2.set_xlim((0,20.0))\n",
    "ax2.set_ylim((0,0.5))\n",
    "ax2.legend()\n",
    "ax2.grid(color='grey', linestyle='-', linewidth=0.3)\n",
    "None"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "----"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Student's $t$-Distribution\n",
    "\n",
    "The Student's $t$-distribution can be described in terms of the standard normal $Z \\sim N(0,1)$ and $X^2$  $V(n)$ distributions, so that means it can be entirely described in terms of the standard normal distribution.\n",
    "\n",
    "Let $T = \\frac{Z}{\\sqrt{V/n}}$, with $Z \\sim \\mathcal{N}(0,1)$ and $V \\sim \\chi^2(n)$, where $Z, V$ are independent.\n",
    "\n",
    "Then we can write $T \\sim t_n$, where $n$ is the degrees of freedom.\n",
    "\n",
    "$t_1$ does not have a $1^{st}$ moment; $t_2$ does not have a $2^{nd}$ moment; $t_3$ does not have a $3^{rd}$ moment; and so on. Odd moments, if they exist, are 0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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icDgcTuPDBVMYs3fvXjKZTKwCr/wRJ0x/9tln1Ub/OnXqFHXq1IlFi/N6vfT8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i5p1OUeU+pg2fOPE9+ndS9ATFp3dGYLfpcTjU6HpNWiNZmDMvIaDcgyfqeTsm3fkjbi\nslN2fqeDaHOYJElCazAEDdBGRXzPFldccQVPPfUUGzZs4NJLLwWCoWl79wbFVurq6hQjImQweTye\nZvvp3bs3zz33HEajEY1Gg9/vx+fzhXmC3n//faZPn87mzZsZPHgwEAytXLZsGQkJCYqIw8SJE3n8\n8cd58cUX+fjjjzEajciyzJNPPklxcTF/+MMfTupcQ8IckdQM1XlPRUVFpW1Ug6kR1fW5IOrEoXK6\nKNu+NWis1EtKa8wWYrp3V8LxYrqlU7Z9q9Lempnd4r4cxQ3eJb01FkOTQpst4alu8C5pDUb0HWDx\n2lHQ6HSYU1IVIQ1vXQ1+V1KrHiNJoyEmPYO6Y8FwPmdxEdaMrFZrYUkaDbbsHCr37wmG5cUn4Kmq\nAASJ/QdQuWcXQpYp+nr9T8Zg6mhMmzaNv//971x55ZXceeedZGRksGjRIrZv3w5AYWGhYjCFcpgi\n5Y7ZbDYefvjhVo81ZswYDAYDY8aM4bbbbiM+Pp7ly5fz3Xff8cILL2CxBMdX7969efTRR3nppZcY\nOHAgv/zlLxXRif79+/Pb3/72pM5VkiTlPjU9B3XeU1FRUWmbjiO11AEoLy8HICkpujwQFZX2UvzN\n10qx2vi+/anLPYLOGjR0TAmJ+Bx2pa0h1oaxhbpIAZ8Xd/14BbCkdY/q+EKWw6TEVe9Sc4wJiWj1\nDWF4rtKSNreJSeuOpIRKCez5ea22B4jNzgEkEAJDfDy+ulr0MTasmfU5a0JQsXtnUDa+A9NZDaYu\nXbqwfv16rrrqKt566y2efPJJKioqmDFjBt27dw9TjQsJMcRG+VCiKd27d+err75i0KBBvP766/z1\nr3+lrKyM1157jccffzys7YwZM1i8eDEej4dXX32V7du389hjj/HVV19hbWfYYWNauk/qvKeioqLS\nNmfNw7Rp0ya2bdtG7969GTt2bJtJzCUlJWzbto3U1FSGDBmitA8EAqxduxaNRoPP58Pr9aLVarHb\n7Vx33XXtSmQNxZGrE4fK6cBnt1Oxc7tSrNaW0xt3WSm+uvraS9k51B45rLRvqQ4PBL0YodpLklaL\nOSU1qj5462qV40tIGGzqU+WmSJKEKSUVR+EJAHxOBz6HHX1My4tVjU6HNT2TutxgOGXQy5TZqmdK\nZzYT0607jsITCECjNyAZ9AiHHZ0lJlifSQ5QsH4tPSfeeErP8VTSVo2fjky/fv1YtmwZdXV1OJ1O\nUoS+qxsAACAASURBVFNTkSSpmRETCAQwm81cdNFFJ32sgQMHsm7dOtxuN9XV1aSkpET0WEmSxIQJ\nE5gwYQJutxuj0XhKRD5CuWZN1fDUeU9FRUWlbc64weR2u7nlllv4+OOP6datGyUlJQwdOpRPP/2U\nhISEZu1lWeavf/0rM2bMUMIiLrzwQlasWEFKSgo1NTWMHTu22ZOz1NRUzj33XKVqezSEnrSdjGyr\nikpblG77JpijIstBaWWdFktaN7y1QY+PKTEJh1LLR2q1WK2rpFj525zaBU2UieChYwHorNaot/u5\nYYyLx11RruR6ucpKWzWYIBhO6TiRH7zHCGqPHSGx/3mtbmPL6YWj8AQBpxNTUjLu0hIkjYbkQRdS\nvClYi6lw3Wpyrp901mXfW0Kn00UUQ+hMxMbGtuo9Sk9Pp66u7pTIuZtMJrp27Rp121NFWx4mdd5T\nUVFRaZkzPgM/8cQTrFmzhrVr11JQUMD+/fspKiri6aefjtj++eef5+WXX2bOnDm4XC6++uorDh8+\nzMyZM4Hgj7zZbGbWrFk4nU68Xi8ul4vi4uJ2GUvQEMsdyXBTUfmxlH63RQnHSxwwkJojh9Cagh5Q\nS9c0XGUNoV8xad1azIHx1tbgdzaoe7WmoteYgM+Lz16nvG4p3E8lSGOvnd/lDAuXjIRGpwvLOXOX\nl+Gtq211G0tqF8UQM8TF4bPXYUhIxJScEmwgBO6KMsp3bj+5kzgDtFUU9adCR6p9dTK0ZDCp856K\niopK25xRg8nj8fCvf/2LZ599ltGjRwPBJNc//vGPvPvuu7hcrmbbTJ06lR07dnDXXXdhMpm45JJL\nSE9PV2LKPR4PDoeDXr16sX37dj744AO+/fbbk+qf0xksHBoToybBt0XPnj3Pdhc6DSkpKcFwvF07\nFHU8a3omeqtN8fjYsnuGSYTberR8fR2N2uksMVGH1TXOXdJodejbKLD6c8cQa0NrbHjC7y4va3Ob\nmG7dFSMYUEL0WiOYyxSUntaZzCDLeCrKseX0Cr4vy5xY83l7u3/GiCQrrtLxCCnlNUWd91RUVFTa\n5ozG42zevBmn08lNN90U9v7QoUNxOp3k5ubSr194ocacnJyw15988gl79+5VYsyLi4OhSffeey+F\nhYXYbDZqa2sZN24cS5YsaddTwZKSEvR6PTbbz2chGQgE8Hq9+P1+AoEAsiw3m1QlSVL+abVatFot\nGo0GIQQajabVAo0qQS/oibWrEAE/CBmNwQCShKVrGt6a6mBYnEFPIBBAyAKNyYjPbKGqqkq5F8o9\nkWWqj+eCHLz25ows/H4/Wq22zXvgra8vBKCPtXW4e3aqcyiEEMiyjCzLyvgO/Ws6xjUajTK2dTod\nBoMBSZIwJ6dgL8gHgrlMflfrNZYkjYbYrB5UH9gHBKXfPVWVrYprWDMyqdy7i4DLhSWtO/aCfIxx\ncehtcdQePYyQZcp3bsdVVhKstXUW75sQgkAggM/nQwiB0WgEWi/2GomONvY6Ku25po2JdH1b8jD9\nHOc9FRUVlfZyRg2m48ePYzAYSE0NT1APLZTKysqaGUwhZFnm1Vdf5fHHH+f6669n8uTJABQVBeV/\nExIS+PLLL+nTpw8bNmxg9OjRfPrpp4wfPz5sP88++yx/+ctfmu3/2LFjlJSUkJqaqghINE2O7UgE\nAgFcLhcejwePx4Pb7VZyvNqDRqPBYDCg0+kUQ6hphfmQESXLsrLgDC1EQ3+fzHFNJhMGgwG9Xo/F\nYjllyc2nE1mWlevt9XoVoZHWrr1er6ds45fBwptAQv/zqDlyiJg+fXE6ndh6n0PR7p3IbjeSJGHL\nyMTpdCqGaOgfgK+8DNkfQAgZXwDqJC0VubltPuGXvF58pY3ynjR6jHIBVqsVq9XaIcKNkpOTw14H\nAgEcDgd2ux2n03lSXozQeNbpdOh0OsUwanxNhRBhBlWojk6oZo2/rBxRf39La2rRJCZHXMjq9Xpi\nYmKIibGiMZmR62tk1eYeJaUVg0lvicGc0gVXWQl6aywBtwt9eibu+tc+ex0iIJO/+nP6TLmVPn36\ntPs6NEYIgc/nw263Y7fbcbvd7VqYh66lVqtVfi9D9yba/ZwKQyCa34qmv2Vng8bnerLn/WOOCSgP\nu1wuFy6Xi5p6b3NOTk7YvKeioqKiEpkzajBZrVa8Xi+BQCCsWnmo2nqoFkVTSktLmTp1KuvWreMv\nf/kLjzzyiLLA69q1KxMmTGD27Nl06xYs3HnppZcydOhQ1q1b18xgioQkSaSlpVFUVKQk4+bn55+U\nAQLBSVqv1yuLipAhEqKp4RG6Ju09htlsxmg0YrVaSUlJ6dAGXlNkWVaMDq/XS0lJCW63u+0NmxDy\nCIQWwo09Xk0XxY2NPL/fryyS20PIwAwZe1arFb1ej16vb3EB5yor4cihH0AIJMCW1QNPbTWSw4HF\nYiGlZy+q9++Fesng7udfgD6CfLAQgtKjh4iJCX5PLF27EZ+dHVW/6/Lz8OmC/dOZLVjSM3G5XNjt\ndkpLS9tl9DYe040NEQhfxIautc/nU4yQ9qDRaIiJicFqtZKamhqVF+104ElJDqt5FZeVhbbesxIi\nZIQ4HA6qq6vxGM04TgQ9U5SXUyNpCbSmmGeJoa62Dq3Hi94Wj7OiDJ+9juTBF1G4YS3IAU58uYrk\ny8fiaWLYncwDi9DYTU5OxmQy/ajFcuh71fj7dippyeA4U8bHqaS9Bt+pJDRnpqSkhIlONJ73VFRU\nVFQic0YNpi5dugDBMLr09HTl/aNHj6LRaMIqo4eora1lxIgRSJLEtm3bOP/888M+z87OZvHixc22\ni42NVfKc2iI2Nhaj0UhpaSnduwfr2TQNBWwPjReJjb0xIXQ6HUajUVl0hjw8nYWioiJiY2N/dE0Q\ni8XSopEcDaHwIL/fH2YMhYyjxguq0OI+ZFg1fkp+OhcutbW1lG5cDwIQAn1sLH6XC1NyKp6Kcgyx\nNkVWHMCS2jWisQTgrakm4G7I84vplh6xXVMC3iZiDwmJ6HS6NpXBIhG65o0Nz5ZCOfV6PUajUTEo\ndTpdh/cgRsIQn4CrvBS5XtjAXVlOTJO6V5IkYTAYMBgMweT59HTKZD++etEHrcdFynnno2nBkxfw\n+8kryMfvcaPp2pXawwexdOsOflnJPfE77NTu/I6Ei4crY1ev159172DonsqyfFq8FKfKyDgVBlZn\nHL8hNBpNRHGOxvOeioqKikpkzugq/YILLsBisbBy5UqmT5+uvL9y5Ur69+8fcQH+0UcfkZ+fz759\n++jRo+W6NI1xuVzs2LGDBx54oNlnzz77LM8++2zE7crKyhg4cGB0J9MKoSfwP1UcDgcpKSlnuxtI\nkqQYPh2VmpoayrZsVsQekgdeiL3gOAlxQQVHW07vRlLiYMtpTeyhQPlbb41t0bBqiqeqUvlbo9X9\nqNpLoWt+qqmursZms3XIsCBJkjAmJCkqht7qaszJqWja8OjacnpRUa9uF/C4cRSeILYFqXitTkds\nRia1x46gj7EiCdCZTFTv30/SeQOp2LUDZEHh6pVkXn51h7pOkiQp+TEdqV8hAylk5HRmY+dU0FIO\n06ma91RUVFR+ypzR2c1isTBx4kRefPFF9u/fDwQNonfeeYcbb4xcmHHTpk3079+f8vJyVq5cyaJF\ni5RCgwDffvsto0aNoqwsqGDl8/l44IEHqKioYMqUKVH3TQhBaWlps/wqleY0DalUaRm5vBT7iTzF\nYDIlJ2NNz8RTVRU0PiwNimo6swVLWuQnvQGPB3dZg0pbS+2aImQZTyOxB2NCQodcOJaUlHSoxXZT\njAmJSFKwfwIRdk1b3CYuHnNKF+W1PS+XgMfTYvtQ3S2/w465SxdcJSWYU1KJzW5Qy6s7cVwxwjoS\nHVEpL5SDphIkkvy7Ou+pqKioRMcZX6HMnDmTjIwMBgwYQEpKCpMnT+YXv/gFjzzyCAAHDx7EZDKx\nadMmIBgut337di6++GKuueYaJk2axHXXXccdd9wBBEPnCgoK6NOnD6NGjSIzM5N33nmH2bNntyus\nrqamBq/Xq04cKqeU2u+31j/pFpiSU3BXVQUV02QZa0YW9vwG71Jcz94tLvAchScIxvWBpNNhTu0S\nsV1TvDXVCDm4kJWQMMarxSlPBo1WizG+oU6Np7oqqhCv2B49kTRBb7OQA9Qdz22xrSkpGb0lBhEI\nYEpKwe+wY0pOxlGYXy89LkAIcpc1D0E+2+j1+pPO+VQ5M0QyatV5T0VFRSU6zriboGvXrnz55Zes\nWLGCvLw8Bg8ezNChQ5XPQ2IGoZC2mTNncvfdd5OQkEB8fDxms5m6ujrlSVlKSgp79uxh3rx57Nix\ngyuvvJJbbrmFzMzMdvWrtLQUaMizUlH5sQR8Xsq++bohHG/QhXiqKvHX1z0xp3ahLu8YAJJWq9Tj\naYocCISF48WkdW8xF6YpniZS4m2Fkam0jDEhEXdVMC9S9vvw1dW2Gd6oM5mI6Z6OPT8PAGdRIdb0\njIjS5JIkEZvVg8r9e5A0GjR6PT67HUnSkHT+BcGaTrJM9cEfqPphHwl9+5/6kzxJfi7FazszkQwm\ndd5TUVFRiY6zElclSRK/+MUvIn7Wq1cvqqoahRAZjQwYMCCsTVxc+CLFaDSG5USdDLW1tRH3raJy\nspR9txWf3Q6yDJKE3mpFb43FW1uDwRaHp6ZaaWvL6oHWYIi4H1dJEUJZjEpRh+P5XS78jUQiGntI\nVNqP1mhEH2PF57ADwdywaPLBrOmZOIoK6u+hoDb3KIn9BkRum5VN5f49+J0OLF3TcBYXY83MwllS\njKVLGo6SIhCCo/9bwIWPP3sKz+7H0RFD8n4M//73v7nuuuua5Wr6/X5WrlzJli1buOCCC5gwYcJZ\n6mH7iVS4Vp33VFRUVKKj4yYNnGFCdSnUiUPlVFHw5SoQQe9Swjn9qcvLQ2s0AcFipQ2FZCXiep0T\ncR9CCOwheWrAnJKKzmSK6vie6gaxB63eELVIhErLNC5A63M6CHi9bW6j0euJzWwQrHGXleKtrYnY\nVm+JwZwcDI8yxCcS8LhBo8FdXkrq0GFAUI2ucu8uao4c+jGnckppSVCgM3LixAmmT5/OsmXLwt73\n+XxccsklXHvttTz33HMR6/l1ZCIZTOq8p6KiohIdqsFUT+hJW3tlllVUIuEsLqJy766gdwmw9e6D\nKSkZd2V5MCyu0brFmp7RojHjLi8NlxJPjy7UVPb78dY0LMqNrRROVYkevTUWTSPBE09ldKULYrp1\nR2tqEPioOXywxRwoa0bwHgufF6MtDnd5GXG9+uCtsweNqfoxlbt8ycmexikn0mK8s1JcHCzw3LTk\nwbx589iyZQuXXHIJR48eZfv2jie+0RqteZjUeU9FRUWldVSDqZ7QxGGz2c5yT1R+CpxY+zlCFgjA\nYIvD73BgSk5GBALEZmbjqmhQvIvvHdm7BFB3PE/525iQiCHKhU1QlCC4sJYkDYa4+JM7EZUwJClc\nOMNTU40cRSiapNFg69GQo+az1+EsLorYNiY9A0mrJeDxYO6ahuxxo7fGUpd3hNSL/g8IKuaVbfsW\nV3lZxH2caX5KHqbq6mCobNO5YNWqVcTFxfHxxx/To0ePH63quGLFCmJjYykvL/9R+4mW1gwmdd5T\nUVFRaR3VYKonFJoQH68uLFV+HAGPh8L1axV1upQLLyLgctUn8EvBhP/6xaUltWuL3h93RTn++nwZ\nCObCRIMQIqz2kiEuPswrovLjMMYnIBFUMxRyAF8L4XVNMad0CbvXdblHlWK4jdHqDcR07Rb82xKD\nkAWeykps2b0QgK5eSU/IMvmrVvz4EzoF/JQMJrs9+J1LTk4Oe3/Xrl0MGTKErl27npLjBAIB7Hb7\nGfPMtRaSp857KioqKq2jrqLqCU0c6pM2lR9L0dfr8drroL4OjD7WhinZiLuigpjuGeHepXP6trif\nxhLU+lhb1GF1Prsd2d8g8ayG451aNHo9+lgb3rrgb4anuirqa2zL6UXZd1sBgezz4igqiFjMNqZ7\nBvaC/PqaTF3xVldhSetG8ZbNpF70fxSuX4OQZQrWfkGPayee9fw0jUbTKUPy3G43b775Jm+99RYF\nBQX07duXYcOCuWLJyckIIfjwww/Zvn07x44do7q6mjFjxuDxeLjrrru4/fbbOXHiBC+//DLOevVL\nCBonmZmZPP3006ekn7t37+aDDz7AarVy3333ERcXx4kTJ3j33XfR6XTcfvvtpKWltbqP1gymjjrv\nCSEoKiqirq6OvLw8pWj6wIEDfzZhhEIIXn75Ze68886zXjD+yJEjfPPNN9x8883t3ra0tJSPP/4Y\nn8/Hvffei6EFkaOOxvz585k4cSJms7ntxj8Rdu3axWeffUb//v257rrrWm17tu/rqlWrOOecc9qt\njH0yqB6meux2OwaDAb0qu6zyIxBCkP/FZ4qUeNJ5g3CWFCPLwYWKIS5OUbwzJSSFFTZtjLuyAl9d\nrfI6NqtHxHaR8FQ2hPjozJaoRSJUoseY0KA46He78LvdUW2nj7Fi7tLgoXDkH4/oZbKkdUNrMIIs\nY0pKIuB24a2pISatO6akZCSdDiHL+F1O8lYua7b9mUaj0XQ6lTxZlpk0aRIPP/wwmZmZ3Hrrrbhc\nLt544w0AEhMTKS8v5/bbb+eVV17B5XJRU1NDSUkJPp9PUXM9dOgQS5cuZcOGDWzcuJENGzawfv16\n1q1bd0r6uX//fq6++mrcbjcff/wxo0ePJi8vj4suuoivv/6aY8eOMWzYsDB12Wjp6PPemjVr6N69\nO3379uXqq69m4sSJjBw5kpSUFObMmRPVPmRZVkIPm1JXV3fax63b7cYd5e9DiH79+nHXXXcBwXv0\n2GOPsWXLltPRPQCefPJJ0tPTw7zEHo+nWb9XrVrFPffc0+795+Xl0adPHx566CEWLlzY4v3oaFRV\nVTF16lR++OGHs92VM8bcuXMZOHAgs2bNYuXKla22PXbsGL1791bua11d3RnqZQMPPvggn3zyyRk5\n1kl7mAKBABqN5idTSd3n83XYSUOl81C5d3ewGG39xBOb1QNJq8VbVYkpITEsfCuh37kt7idUnwmC\nQgOmxKSoju93u/E5HcrraLdTaR/6GCtavYGAL6iS562tidowjc3MxlVSDAhkvw9H4QliM7PD2mi0\nWmKzelB96AeELKMzWwi4XRi7pFH1w166XDyM4k0bEbLM8ZWfkjX22rPqZeqMsuKrV69m+fLlfPTR\nR9x4440AeL1errzySjZs2IDNZkOj0VBUVITf76dLly7cc889zJo1K2w/o0ePJjc3t83jLVy4UAn3\nA9ixYwcA//3vf8M8PDk5OVx22WXK69dff53Zs2czceJE6urquOKKK7jooouYNGkSs2fPRqPR8Le/\n/Y13332XP/7xj+26Bh193nO5goI3ixcv5rzzziM2Npaamhq+//57+vZt2TvfmHfeeYdZs2axf//+\nZp+NGTOGm2++mQcffPCU9rsxv/3tb5EkiX//+99Rb9OvXz969Ag+JAt9r35szlxr9OrVi169eoWt\n5x544AFcLhdz585V3ktNTcXhcCDLcrv6M3v2bPx+P9u2bePcc1ue9zoaZWXBaJCmAjA/ZV544QUu\nvvhi1q9fj6mNOW327NnIssx3331H//5npy5gWVnZGbs/URtMVVVVzJs3j88++4xt27ZRUVGBwWAg\nMzOTkSNHMmXKFC6//PLT+qU+nXg8njYHhwqdMuzmTHJ85TIld8manomrogJrRgYIgTExSZGTNiUl\nY+kaOYTGXVV5SrxLGl0wdKyj01nHlCEuThFd8FZXYU5JjeoBks5srq+xVAiA/cTxYDHiJgvX2Oyg\nwRRwubB0605dXi6+mmoMcfFYuqUHvUyBAAG3i/zVK8i5/oZTf5JR0jTc64e5/8Zx4jgagwGdJQa9\n1YrOZEZniUFjMCg1rXQWCzqzJfh5jBWt0RR1UebWiGZMLVy4kF69enHDDQ3XzWAwMGLECDZv3qzM\nZYmJifh8wRDXHzNHPProoxw7dqzZ+00X61OmTAkzmA4fPsyf//xnIKhm9+qrrzJixAieffZZpY9D\nhw5l4cKF7e5TR5/3Quc3evRoJc+qS5cu9OnTJ+p9+P1+jhw50u7PThV+v5/jx4+3a5vFixcrf4fG\nXiTDtq6uji+++IJLL730R4Xr3XHHHdxxxx1h70W6Nm63G51O1+513rfffstdd93VqYwlQPGYJCZ2\njrD23NxcvvvuOyZMmHBSa/GqqioOHjzI2rVro/pdCN3Xs2UsQfAeRXN/PB4PXq/3R4Xytmkw1dXV\n8dJLL/H//t//o1evXowePZpf/epXJCYm4vV6KSwsZMuWLdxwww2kp6czc+ZMxo4d2+k8Tw6H42f1\nFOFkCQQCaE/BguaniKOokPId3ynheInnDSIQ8OOpKMcQawur2ZN47vkt7qcu96jyt94aiykpucW2\njQn4vGFS4qak5E7xPeysY8oQn6AYTHLAj6+uNqpCtgDWzGycJcUgZITfj/3EcWw9eobvP9YWlKKv\nKA8KPQgZv9NBYlY2lXt2kXrR/1Gy+augl2nFMjKvHofuLMXZRxJ9CPi8+JwOHAX5+BwOAm6X8t1o\nDUmrQ6PXo9Fq0RiNaA1GNAYDGp0OSatFkjRIGg1ClhFCDgpg+APEZvfg3Lt/F3WfDxw40OypOgTH\nY3u9Zbm5uVRWViLLMnq9Hr1eT5cuXUhKavDwHjx4MGyb5cuXc/3111NYWBi22G3an/T0dPbu3Uta\nWhpCCObNm4fZbOYvf/kLs2fPRpIk9uzZQ3p6erv6DB1/3guNKUmS8Pv9eDwezGZz2GJQCMGaNWuY\nN28ebreb8ePHM3nyZFatWsVf//pXamtr8fv9XHbZZQQCAebNm8ff/vY3Dh48yLFjx6iqqmLr1q1c\ndNFFSjjm4cOHmTVrFoWFhfTt25ff/e53ZGRkIMsyjz/+OM888wyffvop8+bNIy4ujv/85z/NfsNe\neeUVli5dSm5uLg6Hg+HDh5OYmMgnn3yCVqulsrKSt99+m82bN9OjRw/uv/9+cnKCSpovvviikpfW\n1GASQrBo0SLeeecd1qxZg9fr5aWXXuLRRx8NO77H4+H+++/nhRdeICUlhR07drB27VrFCzlnzhx6\n9uzJ2LFjWb58OTqdjquvvpq///3vLF68mLy8POrq6hg+fDhxcXEsW7aMQCCAxWLB7/fz73//mx07\ndnD55ZczadKkiPevpKSE9evX88MPP2C1Wnnsscfo2bOnEm4oyzIff/wxH374IUajkauuuorbbrsN\njUbDI488wq233sqAAQMoLCzkjTfeYMaMGUiSxJIlS6isrOTOO+8EYMuWLbzxxhs4HA4uvPBC7r//\nfmw2G+Xl5bz55ps89NBDzJ07l8WLF3PxxRfzwgsvROyvz+djwYIFfPLJJ1gsFgYPHowkSSTUh2AL\nIVi6dClz585Fp9MxZswYpk2bhq5eVEmWZdavX8/nn3+OJElMmTKF888PzvVPPvkkjz76KF9++SXv\nvfceOp2OefPmYTKZ8Pl8vPPOO3z22WfYbDYmTJjAxIkTlX4VFxfzyiuvcPDgQbKzs/nNb36jGCkO\nh4PZs2ezYMECpdTBnj17WjROd+3axT//+U8CgQAPPfSQ8vBh586dfPHFFwB88sknrFy5kmuvvZYR\nI0a0eF8PHDhAXFwcjz32GL169WL69Ok4nU6ee+45/vznP/Phhx/y0Ucf0atXL2bPng0EQ0xff/11\nvvnmG7p06cItt9zCpZdequz74MGDzJo1i5KSEvr168f9999Pt27dlM/XrVvHe++9h9PpZPLkybjd\n7jCBngMHDjBnzhwcDge///3vlev/8ssvs2XLFt5++20eeughdDodL7zwArNnz2bPnj3cd999XHPN\nNRGvWYg2DaZ3332XgoICvv32W84777wW27ndbv73v//x8MMPM2bMGIxGY1u77lC43e4O/aSto+D3\n+5UfB5Vwjn/+KSIQnOD1sTZknxddXAL+ynJMXboq4XiW1K6YkyM/DXSVl4V5l6xNQrVaw1NRgagv\n8CRptBjjE9rYomPQWcdUsBhwLD578Cmkp7oqaoNJZzIRk9YNR+EJAOwn8rGkdW8W1heb1QN3RTk+\nux1zalcCpSX47Hb0sbHEpmdSWm84+Bx2TqxeSfa1E07tSUZJU4Op763TmrURQhDweJB9XgJuFz6H\nA7/LScDlwltXi99hx+/2IHs9yH4/st+H7PUq28h+v6IOiBBIWi0ajT5oYOnaP97NZrNScynSuTQe\nl6EFusfjadZ+48aNYRN+iPPPP5+dO3cqr5uO8dACW6fTtTr+f/vb33LDDTdw3333sWXLFrZu3cqm\nTZsYNWoUdXV19OvXjzlz5rSZ4yLqRWga09HnvZDhOmLECPbv36+kAowfP57FixcjhOC+++7jH//4\nB7/61a+w2WzcfPPNxMfHk52dTf/+/dm1axdCCHr06IHVaiUmJoYLL7wQu93O7t270Wg0DBo0SFk4\n7tixg2HDhnHJJZdw7rnn8umnn7J27Vq2bt1KZWUlL7/8MkuWLKGmpoYrr7yS999/n4cffphBgwaF\n9b1///7s3r2bgoIChBAMGDCApKQkNBoNBw4cYNSoURiNRq677jpWrlzJ6tWr2b17N263myeeeIJ+\n/fpx/fXXK9cgNF7effddpk2bxsiRI3nzzTf573//S2FhYbNr53A4ePvtt7nqqquYNGkSzz//PEuW\nLOGee+7BYrHwwgsv8OCDDzJ27Fj+9a9/ERsby9VXX02/fv3IycmhqKhI6XdCQoIi7CKE4LrrrmPt\n2rX06NGDf/7zn+zcuVNZmDbmkUceYd68eQgh2LlzJ5WVleTm5jJ9+nQkSeIPf/gD77zzDlOnTsXp\ndCrhi7fffjvvvfceNpuNAQMG8Oabb/LSSy8xefJkBg4cyGuvvUZOTg533nknixYt4oYbbuCGTo/F\nswAAIABJREFUG26gW7duvPnmmxw+fJh3332XPXv28MwzzzB//nyEEPTr148XX3yRZ555ppk4gRCC\nG2+8kQ0bNnDNNddQWVnJ73//e+Lj45Xv59NPP82sWbO45ZZbFIPD6/Vy//33Y7fbueaaa9i/fz83\n3ngjdrudYcOGMW/ePK677jpmzJjBxx9/THl5OePHj+fdd9/lvvvuY9SoUdxwww1s2rSJm266idLS\nUm688UZWrVrF6NGjKSgo4IILLiA7O5tLLrmETZs28fHHH3Ps2DEMBgO33HILS5cuZerUqfz5z39m\n8uTJFBUVRTSY5s6dy+23307v3r3xer3Mnz+fvXv3kpGRwZgxY5Q8yFAJhfT09IgG05/+9Cfef/99\n5b5WVFSQl5fHtGnTOHr0KC+99BKLFy/G7XYzdOhQ5syZw1NPPUVCQgLDhw/H5XLxy1/+koMHD3Ll\nlVdy4MABsrOz2bp1KyNHjuSyyy6jb9++/O9//2Pjxo189dVXQPAhxOOPP861115LTEwMt9xyC9Dg\nAVy6dCkTJkwgKysLrVbLvHnz2LFjB/379+fQoUPY7XbGjBkDBA2rxYsXY7FY6NKlCxMmTKC0tLR1\nARzRBn6/v60mzdrLstyubToC48ePF+eff/7Z7kaHp66uTuTn55/tbnQ43JUVYvVtN4qVN44TK28c\nJ3b/8zWx+63ZYvubfxcH5r8nji5fIg4v+lAcXvShcFdWRNyHHAiI4m83iYL1a0TB+jWidPvWqI8f\n8PlE5f69omLfblGxb7dwlhafqlM77XTmMeWprVGuecW+3SLg9Ua9rd/rEYVfrVPud9XB/c3beDzi\nyOIF4vCiD8XRFUvFtldmiN3/fF0cWviB2DrjGbF95vNi5Y3jxOe/vl58+ZvbhM/pOJWnFzU+n08c\nOHDgrBw7ErIsi0Ag0GqbOXPmCED85z//Ud6rrKwUw4cPF4AoLy8P2x8g7r///mb78fl8YtmyZeLz\nzz8Xq1evFitWrBDLli0Tu3fvbvX4y5YtE4AoLS1t83w2bNggpk2bJn7/+9+LvLw8IYQQu3fvFrfe\nequYPn262LFjR5v7CAQCYv/+8DHW0ee9hQsXCkBMmTJF/P3vfxfvvPOOmDVrlliyZIkQQog1a9YI\nQMyfP18IIcSePXsEIPbs2aPsY9GiRQIQbre72f6vuuoqcdttt4W9N27cOHHTTTcJWZbFsWPHxPXX\nXy/69u0rhBCioKBAAGL48OGirq5O2O12IUmS2LdvX4vn8NBDD4nBgwc3O+6AAQNEVVWVEEKIqVOn\nil/+8pdCCCHKysoEIFatWiWEEOLYsWMCEJs3bxZCCHHppZeKiy++WNTW1gohhKiurhYOR/PvvSzL\nIi4uTrz66qvC5XKJmJgYAYhNmzaJw4cPC0Bs3RqcY0aNGiXuvvvusO0fe+wxcd5554W999577wlA\ndOvWTRw8eFB4vV6RkJAg5s2bF/HcZVkWfr9fGI1GsWDBgrDPDh8+LLRarVi3bp2QZVksWrRIdO3a\nVbzxxhtCCCEuvvhicc899wghhDj33HMFIN59913h8XiEyWQS77//vvD7/aJnz57ir3/9qxBCiO3b\nt4uLL75YTJo0SQghxBdffCEAMXXqVOHz+cTWrVuF0WiMOBY2btwozGazyM3NVd579NFHRVZWlhBC\niMLCQmEwGMSnn34qZFkWn376qcjMzBQzZswQQgjx1FNPiYyMDFFR0TC/JyYmildffVU4nU4BiIED\nB4qKigohy7IwGo3i66+/Fhs2bBAGg0EcOHBA+Hw+8fbbbwubzSaWLl0qhBDigQceEMOGDRM+n0+U\nlpaKu+++W9hsNuFyuURtba0AxBNPPCF8Pp8QQoiioqKIa3CHwyFSUlLEnXfeKfx+vygvLxc2m038\n5S9/EUIE1+4rV65s8bsS6b7q9XqxcOHCsM+2b98uADFu3DjhdruV8VtWVibeeust0bVrV1FVVSUc\nDod47rnnhNFoFD/88IMQIvi9uPXWW4Usy+LIkSNi3LhxYuDAgUIIIex2uzCbzeJ///ufcqzQb2h+\nfr7w+XwiJydHTJo0SXi9XmG320XXrl3Fgw8+KIQQ4r777hOAGDlypLDb7SInJ0eMHTtWVFdXi337\n9glAfPPNN62ed5uPdRu7mUPuzNZc/50xtAbA6XT+rGQjT5bO6g043eR+tpRA/dNnrdGIzmRBa43F\nV3gCc2pXvLXBYpiWrmktSlA7iwsJuF3Ka1tOr6iP766sCCtUa0zoPGIPnXlM6a2xSBqtkrfmra2J\nOoRSqzdgTc9UBD6cRUVY07PCwuq0BgMx3dOxnziO1+HElJSM8LgJ+LxBYYjsHEq3fYsIBPDV1ZK7\n7H/0urH9kr8/ls4oK37LLbfwxhtvcNttt/Hee++Rnp7O559/TmlpKQAnTpxQQupCnqVIeSQ6nY5x\n48ad1r6OHDmSkSNHhr03YMAA/vOf//yo/Xb0ec9fryD5n//8J+K1nzt3LkOGDOHXv/410HCfGucp\nhM7P7XY3i3wxm81hSnCBQIDPP/+cuXPncs899/Dee+8xbNiwZipcM2fOxFovsnL06FGyspqXBmjp\nGEVFRXzxxRcsXLhQycvyer3Kk+2Q1HtcXFzYOYU8gddeey1/+tOfSEhI4NJLL+X5559n+PDhzY4r\nSRJ9+/YlPz+fNWvWYDKZ6Nu3L3v37uXAgQPEx8dzwQUXAMECxk2frDftNzTkBs6ZM4fevXsDwWsd\nKvYcqQ+hNWFTj87q1asZNGgQ5eXlDBkyhP379/PHP/6Re++9F0Dp++HDh9m/fz9XXHEFe/fu5bvv\nvsPtdjN69GgOHTpEXl4ew4YNY8KECSxdupRJkybx5ptvhh1r9uzZ6HQ6Bg8ezIEDByJGQC1fvpwx\nY8aE3cuePXsq/f/yyy/p0aMHsiwzfPhwvv/+e373u9/x8MMPA/DBBx/wm9/8RvF21NbWUllZqVwn\ngBkzZiif//DDD2RlZfHkk09yzTXX8NVXXzFu3DjKysp47rnnlN+Uzz77jPvvv58nnniCf/zjH+Tk\n5PDFF19gMpkwGo2MGjWKGTNm8MYbb3DDDTfwwgsvRAzF37p1K2VlZTz22GNotVqSkpKYOHGiIoai\n1WqV7dqSBm98X1uKJnvttdcwGo1kZWVx9OhRkpOTWbFiBTfddBNvv/02r776Kjqdjv/+97+cc845\neL1eVq1axYIFC5g+fTpz587l0ksvZdGiRUAwFM9oNDJ+/Piw+xPq+/79+zl69CgffPCBEhY9ZcoU\n9u3bBwRLJ6SkpLBkyRJiYmKIjY1lxIgRxMXFYbPZsFgsHD16lKFDh7Z43u3KCisrK2PEiBEcPny4\n2Wd79uyhpKSkPbvrUHR0taCOgizLndYoPl1462o5sXqlsmhOHToc2e/HVV6K0RaH39sw6ST0jRxX\nLPv91OU2JISbkpIxxkVXTFL2+/FUViivjQmJnapQbWceU5IkYWi00AgartEbDjH14g1BBPb8vGZt\nbD2CeQ2y14MxMQnh9+OrrSE2O4faI4fpMnQ41IfKHP98Ob5GSmxnks5mMMXGxrJx40YefvhhDh8+\nzLJly7jgggtYvHgxY8aMCYuLD6llncoCr1lZWdx7771nLCRORAjJ6+jzXshgaun3oby8PGxBGro/\njc8zZDCFFPcaYzabw94vLS3F5/Nx8803k5+fz+rVq1m/fn0zkYmQMQOQnZ3daq5o02NUVgaLikfq\nNzSIPIQeIoXqe4XGycMPP0xubi5vv/02drudq666KmJoKQSNjqNHj7JgwQKmTZvG+eefz969e9mw\nYQNXX321cl0jjYOm/YbgGDIYDGGLViFEiwZTiFAOWmPy8/PZvn0706ZNY+zYseTm5vL8888rfQr1\nfeHChYwbN04xmDZs2MDAgQPp1q0b+fn5BAIBxo4di9VqZefOnXz00UdhuYPQcL80Gk2Lxm1NTQ0x\nMTHN3g/dj/z8fA4ePMivf/1rRowYwdGjR3nllVfQ6/UIIcjLyyM7O1vZ7vvvvwdQ8tIgvN5ZaNzk\n5+ezdOlSnnjiCaZPn05eXh4PPPCAMqby8/N58MEH2bBhA++//z7ff/+9sqiXJIk1a9awdetWnn76\naZYuXcqUKVMi/haHfsMa1yvSarVh9z10zKb3qiUkSVKuT1NC5ypJkqL4mJ+fz+uvv87bb7/N888/\nz5EjR5RcrcLCQoQQ3HTTTRQXF/Pll1+yZs0axSiqqanBYrFE/K75fD7lQVdGRkbE83M4HOTk5CgG\na3JyMuXl5Uof09PT2xSAaZfBdPfdd3PTTTcxYsQIdu3aBQSfltx1110MHDiwUxtMcHplO38qRJp0\nf+7kLf+EgCdoFGn0Bgyx8RiTkgn4vBiTkpHrn9LFdEtvUebbUZDfqNisRGx2TsR2kWjqXepsUuKd\nfUw19ubJfp+S0xQNGr0ea3rDBOYsKW5W08mUnIrObEGI4BNwXf2kLmQZSashJiOrQTHP4yZ/9Yof\neUYnR2czmCA4ac6cOZPjx49TVVXFypUrmTBhglL/J4TJZOK8885T4t9PBeeddx5vvvnmGSvA2tL3\nrCPPe36/H0mSWuxjRkYGBw4cUF6npqYCQe9giJChEakWkslkCns/MTGR+Ph4XnzxRVasWKHkpq1f\nv56PPvpIadeesd70GKEInab9DvU5tMALLVpDBpPRaESWZY4fP05WVhZ33HEHa9euxe12s2JF5O/8\noEGD2L9/P0uWLOG2225TcrpWr17NL3/5S6WdXq9vtvBt2m8ILkyNRmPYOEpJSaGoqKjVa6DRaPA2\nEj2CoHcgNjaWvXv38sILL5CamkogEOD555+nuLiYQYMGcezYMT744ANuv/12pe9r1qxR+p6Tk4MQ\ngk8++YR58+YxYMAAICjVH8p7geju19ChQ1m1alXY2Dly5AgOh0Ppr8lkYseOHcycOZNu3bohyzJ/\n+9vfOH78OD169FC8NT6fj+effx4g7MFLpH707NmTrKwsDh06xCOPPILNZsPlcvHUU0/hdDrp2bMn\n99xzD5s3b2b8+PFoNBr27NnDnDlzqKmpobq6miFDhvCnP/2Jf/zjH6xbt46KiopmxwnlNIWui8Ph\nYNWqVQwZMiTsPgHN7lVLRLqvbZ3ryJEj2bdvH9OmTcNgMFBWVsYzzzxDSkoKVquVWbNmsXz5ciV3\nas2aNSxatIiLL76YwsJCRZgCUAwch8NBv3790Gg0fP3118o5fPbZZ8r5VVRUhN2L1NRU8vPzldfp\n6eltlodo12NoSZL429/+RmJiIqNGjeK2227jrbfe4pxzzmHFihWtikJ0dDrjZK9y9vG7nOSvXoGo\nT8xNvej/kH1ePJXl6C0xwXAzACQSz438/Qj4vNhPNMjOWtLS0MdEV1MnonepAz8x/imiM5nQW2KU\n+leeygoM7ZBzj+kWDLkTfj8IGfvxXOL7NNSYkSQJa0YWjqoq/C4nMSmp2POP462pxprVg5rDB0m9\naBglmzcqXqbMsdee0YLFndngjYaUlBTlIWFnJZLB1NHnvbYUNKdOnco///lPbrvtNgYNGsSCBQsA\nWLRoEcOGDVP20fj/pvtvLFZiNBp55JFHeOKJJ/j+++/Jyclh7969LF++nNdee01p157r1lR1MS4u\njmuvvZYHH3yQ3NxcKioqmDNnDm63m6KiIiXEKWTANA7J27hxI1dccQXXXXcdGRkZ7NixA1mWGTx4\ncMRjX3nllfzhD39gyJAh9O/fn+rqap544gmAMEUwg8HQzGCKpBZZWVnZzHvTq1cvDh061OL5CyHw\n+XzN7uPkyZOZMWMGw4cPZ+LEiUiSxBdffEFFRQXTp09XQlALCgr4xS9+QW1tLYWFhZSWljJjxgwg\nuAC/+eabmTx5MjfddBMpKSl8++23bNy4sc2iq0254YYbmDlzJoMHD2b8+PHk5eWxatUqIOidHD9+\n/P9n77zj46iuPf6d2d7Uq1UsW5I7xrhh02LiAA9C4mcwBhMgGEggBF7oPEqIMYEXDCGQEIpDNwEn\nsSnGMT00YxvLGNtgcMNFvdddbZ2Z98dqR7valbSSmyTP9/PRR9rZmZ2Zu1dz77nnnN+hqKiI0047\njfPPPx+DwcCHH35IeXk5F154IXfffTe/+MUvKC8v5+uvv1YN3qSkpB5VN6+++mqeeOIJTjzxRH78\n4x/j8XhYvXo1FouFO++8k9/+9rcsWLCA8vJyjjvuOPbv38+bb77Jtddey3333ceyZcs499xzsVgs\nrFmzhsLCwpie8LFjx3LmmWdywQUXcP7557N27VokSVKVBqGzz8UT8dHd99oTt9xyC6eccgqnnXYa\nP/jBD6ivr+eNN95gypQp2Gw2brnlFm699VZKSkoYPnw433zzDW+//TZPPfUURUVFXHrppZx77rlc\ncMEFKIqillKoqKhg7NixXHDBBSxcuJB33nmHTZs2UV1dzbXXXgsEPbbhCwAZGRkRQjk5OTm9yv/3\neWkpEAiQnp6OJEk8+uij/OY3v2HTpk2ceeaZQ37Q1NDoSvkH7xLoWAEUdDrMKamYUlKQvF4smdkE\nOibR9ty8bifRzrJS1eBCELHnFcR9fk9D/aD2Lg0VTGHt7m93qfls8SDq9ZFepuqqKC9TQpjHUdAb\nEDtizBVJQqc3YM/LB0FQc5mqPvuov7eiMURRFGVAe5NiYbVae1StOvnkk1m1ahXNzc288cYbnHfe\neTz33HNqeA4E6zadfvrpEaFIIcaNG8dPfvKTiG3/+7//y5o1a7BYLHz11Vfk5OTw0Ucfce2115KU\nlMS0adPIzMyM+x6KioqiZLeff/55rrjiCt58801KS0t5/fXXOeecc9izZw/Dhg3jmWeeUVX3Ro8e\nzZVXXklGRgannHIKjz/+OK2trXz00Uc4HA5WrVrF8ccfH/Pc48aN49xzz+Wuu+4CYObMmcyePZvb\nb789YrX997//PVdddVXEsYWFhRE1ygB+9KMfcd9990VsmzdvXsy2DdHc3Izf74+qlWOxWNi8eTPX\nXnstZWVl7N27l8suu4ytW7eSlZWF3W7nmmuu4a677sJkMpGens6vf/1r5s6dG+EVefHFF3nyySfx\neDxs27aNadOmqXLneXl5MRUsY2G1Wvnss8+48cYbKSsrY9iwYXzyySfccccdak7M+vXrufnmm6mu\nrmbPnj1ccMEFbNu2jYKCAi677DLeffdd0tPT+dnPfsb//d//4XA4MBqNGI1GZs6cGeG1DpGdnc32\n7duZN28eu3btorq6mltuuYUNGzZgtVq56KKL2LhxIzk5OWzZsgWr1co///lPlixZwh133MHChQvZ\nvn0769ev5/TTT1cl4mOxcuVKrrjiCrZt28aMGTNYu3atmosHQblwi8USl8p1U1MTkiRFfa+ZmZlM\nnz49pud86tSpbN++nRkzZvD111/T3t7OI488wqpVqwC45557ePPNNzEajWzZsoXhw4fz6aefcuWV\nQdXV5557jqeffpq2tjZ8Ph+vvPIKS5YsUUNmX3jhBW644Qa++eYbxo0bx7p169SSDZdeeikzZsxQ\nryUpKSki5HTGjBm9Gn+C0oelkg0bNrBw4UIqKyu588470el03HfffaxatSqi0N5g5PTTTycQCPDZ\nZ58d7UsZ0DQ2NiJJ0kEVyRsqSD4fa2/8FZ764OCcMW0GxsRkRIMBQRQRExLwt7djsVjJO+NsDPZo\nr1HA7aZ20xfQYfTYcvJILCyO2i8Wst9Py/e7VYPJnJqONSP+gXygMBT6lKIotOzZpYZVmlPSsGZm\nxX28HAhQs3Fd0MsEWLOHkVQ8JmKfvR+8g7u2BrPZjN5mU3PezKmptO7fhyJJ1G8uQdDrsWUN46SH\n/oJwhCbIiqKwY8cOxo4de0TO1xtKR07XYDMQDicej4fKysqInIqBPu7JskxjY2PE5F5jcBEIBHj8\n8ce5+uqrB7TAyKFmyZIlvPzyy4PKM71//37Wrl3LJZdc0uu+gUCAv/zlL1xzzTWD8nttbm6mrq4u\nIpewN/o0mqxdu5YzzjiDPXv2cPvtt3PLLbfw6KOP8uMf/1i1EAcrsQovasRmoIdxHCnK3luDt6kz\nHM6anYM5PZ1AuwtTaiqS2w2KgqNgRExjCaB1//eqsSTo9djzu1db6spQ8i4N9j4lCAKmsDAIb3NT\nXEVaQ4h6PfaczmTV9urqKC+VLW84dLSTIIjojMFVQDkgIQiCamgrkkR7TRU1X6zr9/1oDD1iheQN\n9HFPFEXNWBrk6PV6brjhhkE5qe4LVVVVar5ZSUkJjz76aJT3cqBTUFAQl7EEwe/1xhtvHLTfa1JS\nUp+MJeijwXTjjTfy5z//OWIleOHChbz00kssWLCgV4WJgcxAHzgGCoIgDPrJ7aFA8vs48PZbaqHa\ntElTkP1+vE1N6MxmBDHo2hUMBlLGxc5d8rW14qnrDB1x5I9AZ+hZzlM9v9eLt6lRfW1KSR1Uynjh\nDJU+ZUxKRiA4IVVkCW9Lz8pRXYlQzFPkKMU8U0YWuo68JL/TiWN4AQC+lmYcwwtor64ksXh0UDFP\nlvl+5fI+GW0Hw1D4/oY6sixHedy0cU9D4+BRFIXJkyerctXTp09n7Nix3H777Uf70jQOIX2aYXUX\n33feeefhcDh6TGwb6Oj1+rilFI9ltAE2SNVnn3R4lxRAwJ5fgN5mo72yAkdBIZK7HQQBe0Ehuhjx\nwKEQrhA6kxnbsOj45u5or6lCIThJFXX6uGv/DESGSp/SGYwYEhLwtQbrqHgbGzB3U3MrFqLBEBSA\nKN0PBHOZ7MMLVCNaEEUsucMJVJQCCggieouVgLsdyedDkRXSJk2hZfdOFFmmvbqS2k1fkDl95qG+\n1ZhoOawDm1gGkzbuaWgcPIIgsGPHDrZt24bP52P48OEUFcVfR1FjcNCrh6msrCwuicEzzjiDUaNG\nsX///kFpOGkDR3wMlcntwSD7/ex781+qUEPK+OOQ/X58zc0YHA4UJbhdbzJjGBa7yLO7tgZ/W6v6\n2jGiMO58E19bG35XZ60dc3oG4iCtYwRDq0+Fh0VKPm+fayLZcnJV76QiS7gqOiVuRVHEkJWtvvY2\nNZBYHEx29be1Yc/No726KszLpLB/9eua90cDiK04p417GhqHhsTERE499VRmz56tGUtDlF5naB98\n8AFjxozhsccei1CeCUdRFNatW8dVV13FtGnTNINpCDOUJrf9peKTD3F3hNIpQELRKIxJSfidbVjS\nM5A7ck8SikcTiDFZlQMBWvd2Fn82JiTGLdagKAru2s4ihTqTGVNS8kHczdFnKPUpvcWK3twZ0+1p\niq6H0RM6gxFr9jD1tauyHLnjuSSKIrJOjzXMaBI6vEwAfrcbFJnU44LqWoos0bp3D007tvf7fvqK\nZpwNXAKBgGYwaWhoaPSTXkPyFi5cSH5+Pvfccw833ngj48aNY/z48aSkpODz+aisrKSkpASPx8MV\nV1zBt99+i9EYXx7GQCJW4TaNaHQ63aA0iA8Vkt/HvjdXqN6l1PETQZbxNjViTEhUt+stVhJHFlEd\nY5HBWV6K7A95bQUSi0bHfX5vUyOSr1MMwJqZNehDoYZanzKlpBKoDHqG/M42JK83Zlhmd9hy8jo8\nSwpKIEB7TRX2nDx0Oh2BQICUwlG0VwcLRboqK0gsHkXDti0EnG3YhuXiaWzENiwHV2UFiqKw/63X\nSRk74XDcqoooipjNZvbs2UNhYeGAUKeL9/9ClmVkWUaSJAKBAIFAAEmSUBRFrdMTqkkTUt8L/5Fl\nOeJ3b9fU9QeC/wM6nQ5BENDpdIiiiCiK6jZRFNXfoffDj+ntXr1eL83NzWRnZ0ds18Y9DQ0NjfiI\nK4dp9uzZzJ49Wy0itWnTJnbu3InZbGb48OFccskl/OQnP+mxXsJAJ1ZVa41ohtrktq9Ur/sMT0M9\nEPQuJRaNQm+14i0rJbF4lFqTKXnseHQGQ1RbSV4vrvLO6tLW7OxuFfS6IksSnvo69bXRkRh3gduB\nzFDrU8aERNy1NarEuKexHlt2/PlperMZS0am6kl0VZRjG5artpM1Mwuj3YHP2QYo6C1WRIMB2e9H\n8vvxtbWQPnUGrlUrUSSZhm1f0VZ2AEde/AqM/WH48OHs3LmTXbt2RU3sQ5P9WBP+0PZwIyLcQIBo\n4ydkrECnwRMyWsINoNB+IcNHlmXVKAoEAupxoWvR6/Xo9fqIazYajVHGSddrDb/+EKG/Q9cZ/jv8\nBzqLhIZff+haQ9cYur9wIy60nyAI6PX6mO0uSRLt7e2kpaVhtVoj2lEb9zQ0NDTio0+iDxMmTGDC\nhMO7Unm0MJlMakVtje45lkM4FFlm/1uvq8p4qeMnInm9SD4fxsRE5EBw0m+0O3DkF4AgRLVV24F9\nKHJwP0HU4cgfEff5PfV1yFLw8wQELOkZh+Cujj5DrU8JgoApOQV3XQ0AvuZmLOmZfVIxtOfmqwaT\n5HHjqa/DnJautlNC0Sjqt3wJQOv+fSSNGkvj9m34Wpqx5+YRaHdjSk7B29SIooiUvv0W43953SG+\n00gEQWD06NFRE/uuP6Htfr8/Yp9YXpuuhkX4uUIGSbjBEv63oigYjUbVaxMyKEJGUeh1PB6ag22X\n8N+HmlD7hIyrcIMqVIsqKysrZjFLbdzT0NDQiI+4RvBvvvmGK6+8kq1bt1JQUMBvfvMbrrnmmn4P\nAIqisHr1ajZt2kRRUREXXXQRBoOhx2N2797N+vXrycjIYPbs2VH7NzY28tJLL9Ha2sqcOXO6rXzd\nHUajMS5xi2OdwR7+dTDUbvoCV2VHqBSQMLIIg81OW9kBkkePVYUYUiZMjCng4Gtro726Un1ty82L\nO1Qr4PHgbezMhzEmJfcpzGsgMxT7lCk5BU99HYoio6DgbWrAkh5/UWGD3Y4xKRlfcxMQDOMMN5Ad\n+QU0fftNMDxTljCnpqAzmYK1mwSR9upKMqbPpOzdf6NIElWff0rhvAWHvVZXuNelu2oO14MtAAAg\nAElEQVTzR4r6+vpjooZPqM37EwqvjXsaGhoa8RFXoPnVV19NQ0MDt99+O9OmTeO6667jySef7NcJ\n29ramD17NnPnzuX111/n6quv5vjjj6e6ujrm/n6/n+uvv55Ro0Zx7bXXcvbZZzNu3DjKyzvVo9as\nWUNxcTEPPPAAf//73znhhBO4++67+3RdVqsVt9vdr3vSGPoossze1/6pepcSC4uDE+GWJkzJyUgd\nkw5TUgq2bpTxWvd1Cj2IRhP23Py4z++uq4mQER8q3qWhiqjTRYhxeBobkfsYdhjeP/xtrRF1t0S9\nnoSRherrlj27SZ14AhCUM08YWYTOYkVntoCiIAf8lH/wTn9vZ1DS0NA3wY1jEW3c09DQ0IiPXg0m\nWZbZtGkTL774Ivfeey/Lli3jscce429/+1u/TnjLLbfw3XffUVJSwrZt29i7dy8Ad911V8z9Fy1a\nxMsvv8zKlStpa2tj+/btNDc38/DDDwNQV1fHggULOPfcc9m/fz87duzg5Zdf5v777+err76K+7pC\nA8dQUevSOLTUfbmRttJ9hLxLKeOPw2Cz42ttxZKZpYo4pIyPXaTW01CvegsAEgpGxh2i5Xc68Tvb\n1NeW9IxBW6T2WMKUmhpZyDbM4IkHc0oq+rAcNWd5aYQ3LmFkserJlP1+DA6HqpiHAK7yUjKmzew4\nv0z5f95TDXsNDRic495QUGK8/PLLWb58+dG+jCgURWHx4sUcOBBZNNvj8fD+++/z6aef9ivfVFEU\nKioq2L9/f9R7O3fuZMmSJf295ENGa2srN9xwA1VVVeo2p9PJ3/72N2677TZ1zqlx7NKrwRQIBPD5\nfOTnd652zpkzhy1btuByufp0MrfbrRpeJ5wQXA3Nysrihhtu4O9//3vMz7v++uvZvn075513HoIg\nMHbsWFJSUmjvSK5fvnw5giDw5JNPYrVaEQSBBQsWMHHixD4ZdaFkWC0BtneOtRoDiqKw941/oXRM\nKhJHFKIoCr7WFkwpKaqMuCUtA2tmVsSxaWlpKIoSISOut9mxdNmvp3O313Q+wHVGE8ZBLiN+rKAz\nGDEmJamvvU0Nah+KF0d+p1CDt6kRXaBT0UxvNuMY3pkD1/zdt6SdMDm4b2Mj9tx8LBmZIAggy/jb\n2qj+/NP+3o7GEGSwjXuyLHPxxRfz+9///mhfykHx/fff8/HHHx+x83m9XpqammLmikqSpOax/etf\n/2LlypXk5eWp73/yyScUFxfzy1/+kgsvvJDjjz+eHTt2xH3u+fPnk5aWRm5uLlOnTo16f+TIkTz9\n9NO89957/bizQ8fmzZt5/PHHSep4ZiuKwjnnnMNzzz2HzWYjNzd25IjGsUPcy9ThD9TExEQA2tvb\nsdlscZ/s888/x+v1ct5550VsnzJlCl6vl/379zN+/PiI97KyIieWy5YtY9euXTzwwAMAfPjhh5x9\n9tkR6j+CIDB58uQ+/VM7HA4gGDLYVUloKCNJEj6fT5XSjSWNG64IFa5s1VXhaqhS/9UmWvd9HywG\nCiRPOB6D1YqzrJSkMeMJuILen5QJE6OOTU1NxVlRRsDdrm5LHFkU0V6hhO1YSln+5kY8jQ3Q8Z1Y\ncpJoamqKSl4PKWINVpKTD70RGK6aFt6+oWT4cMJV2/R6vSoWcLCYU9PxdngW5UAAb3NTn/KIzGkZ\n6EzfI3mDz1+pMTLMLGn0WNr270NRZOSAH73ZgtGRgK+tFdFoom3f96RNPIH6rZuRZYmy999m2KzZ\nB5V/KkkSfr8/StghvE27k8COVwb7UGCPU31yIKMoCn6/H5/PF9HWIcLbOdTWRqMxbln3wTbuPf30\n0yxfvpyZM2f2Oex+IGGz2Y6oMuj//d//YbFYEEWRW2+9NeK9//znP+j1embNmsXixYu56aab1P7j\n8XhYsGABc+bM4fHHH8fr9TJv3jx+/vOf88UXX8R17kmTJjFv3jw2btzICy+8EPW+wWDg17/+NYsX\nL+bMM8886HvtL19++SVjx47FYgnW0du2bRufffYZ1dXVZGbGn3/aX+69914mTpzI3LlzD/u5NPpH\n3AbT6NGjKS4uZvLkyYwZMwaAlpYW0tPT4z5ZZWUlRqOR1NTICUNostRTzLnf7+eee+7hwQcfZOHC\nharRVVlZyWmnnRa1f3JyMl9++WXU9kWLFnHvvfdGbHv22WfVwdXpdJKQkIBer+9ViOJoIkkSbrcb\nr9eL1+vF4/H0q55GaIANTbpDBlA44ZK9XSf1ob/7c16z2YzRaMRgMGC1WjGZTANu0q8oCntf7/Qu\nOfILkAMBPC0tGJKScTY1EvB6MKSmU9bQiFxXH3G8ThBw7/gGpWNlz5CUgrOuHqW2LmK/UPuHfwei\nLOOuq0XomIfq7XYEkznCyA2vG9MXdDodFosFu92O3W6PKmh5pMnIiM7JkiQJl8uF0+mkvb29XxOM\nUFuGq6J1nbR3NVgDgQB+v7/PoT8GgwGbzYbNZsNisQS/T6MRY0IivtYWIBiaaUpOibufC4KALSeP\n1r27AXCgIPv9iB3PJoPVhqNgRNCgB5q+207apClUfvYRnoY6rFlZCHo99Vs3gyzTdmAfTTu+xV5Y\njNPpxOl04vF4+nSvXdtS7a9hz42u0tddnxt9xWg0qs8Lq9WK2WzutQ1zcuKXcj+cBAIB9fnsdrtx\nu919UoU0GAyqtHnXBapY7RsyZnsjKysrYtw7EpPCg2H//v3ceuut5OXlsXXrViRJUp9bdXV1lJSU\ncM4558Q8ds2aNUyfPr1XERBFUaiuriYtLS1q/FcUpds+5/V61cWWWNdtMBgi+qPb7Y7LQA1F+MTa\nV5IkNmzYwIoVK1AUhUcffbTbz/n888/57W9/y3vvvUdra2tECZjPP/+cO+64gw0bNrBr1y7mzZun\nvrd+/Xqqqqq444470Ol0WK1Wbr75Zn70ox9RUVER1//YnXfeCRCRd96VBQsWcPPNN/Ptt98ybty4\nHj9PlmW8Xq9q2IRTWVnJm2++yTvvvMMf/vAHxo4d2+1nPPfcc7z22muYzWZuueUWNm/ezOTJQQ/9\ns88+y6uvvorFYmHx4sWkpKRw33339XqvkiRRX1/fr/+lkpISdQFDY2DSq8FkMBjYsWMHmzdv5quv\nvmLz5s28++67ABQXFzN8+HAmT57M5MmTufbaa0lJSen2sxISEtSJXvjDyOkMqot1tyJ44MABLrjg\nAr799luefPJJfvnLX6oProSEhJihfE6nM+4VRo/Hoz5IQ0ZIZWVlv6WORVHEYDBETYJDdB3gQquH\nfT2HxWLBZDJht9tJT08f0AZeV2RZxuPx4PP58Pl81NTU9CssJFwuuLuaLhDpbehaoLInjPU1NO/Z\nFZxQKpA68QQEoxFXRTlJo8fidzoxWq3knXwq5uTovt+8eyftaliWQMa0EzvzTHrBWVaKoeMBKog6\nEkcWqRPlgyUQCOB2u3E6ndTW1vZpEhvep8MnzxCpeBdqa7/frxohfUEURWw2G3a7nYyMjAHtRQt5\nAlwuF83NzVRVValtKsoSvsrOsMpaVztKlz4QXrA0fPFCp9MhGE24PV5kSUJRZALfbUdISVPbVGe1\n0+Z0qkWT5dRGZKsNT30dNkcCgYYGrNk5uKoqkGWJA+/+m5S5F2K1WklLS8NsNg+IQrPdEWpbt9uN\nz+ejtra2X8+KWM/lWN6urrWbwp8X/cmf0el0mM1mDAbDgOvLZrMZYFAIP/zP//wPaWlpLF26lLPO\nOoudO3eqk+u//e1vPPHEE5x//vm8+uqrGI1GHnzwQX72s58RCASYM2cOl19+Odu2beObb77hrLPO\n4umnnyY9PZ01a9bw2GOPcdVVV3Hvvfeyfft25syZwxtvvAHAyy+/zKJFi9i/fz/z58/nqaeeUg2O\nbdu2cccdd7BmzRrMZjOXXnopTzzxhFoq4X/+539UgayZM2eyYsUKhg0bhqIomEwmnnjiCR588EG8\nXi9LlizhsssuA4LP53vuuYfHHnuM9vZ2ioqKWLp0KaeffjoQjLS57bbbqK6uJiEhAa/Xy8MPPxzT\nYGtqamL27Nn885//5LbbbuPpp5+O8DJ5vV5MJhPvvvsukyZNijCm1q1bR3Z2dkRKxsyZM9X3Lrjg\ngkPy3WZnZ1NUVMR7773XrcHkdru59957Wbp0KU1NTUydOpVnn32WiRMnUlFRweWXX84HH3yA2Rxc\nVDzjjDNiGkyKovCLX/yCzz77jDvuuANRFFm4cCFtbW3cfvvtAGRmZtLW1sYJJ5zApEmT4nYMPP/8\n89x///18/PHHDB9++Ore1dXV8dvf/paamhruvPNOpkyZwsMPP8yGDRuYM2cOP//5zw/buY9lejWY\nQrU1Ro8ezYIFC4Bghztw4ACbN29Wfx5//HF+8pOf9GgwhazuiooKCgoK1O27d+9Gp9OpnqtwGhsb\nOfnkk8nMzOTrr79mxIjIujWZmZkxVy52797NccfFTsDvitvtVlcr3G43SUlJahxrfwifJMZaVdXr\n9ZhMpogQiqMtwdsX9uzZc9B5TKIoYrVaDyoMJDSpCdUfCa890jVEKDQRDU1C4wllUxSFkldfAEVG\nICgDDqD4fNgyMhEkCb1Bjy07J6ax5Hc5qd+7B2tH37Ll5sVtLPldTnzOVvW1JS39kBlLEOyDDoej\nzytasSaS3YVyGgwGTCYTBoNBnagOhEni4SAk62w0GmOGFzodDnxtQS+TqNeTWFgcIT3f1ZjvGupm\nTs/AXVuNiB6poZ70kUXoOrzgOp2OBr+P5l3fBa+ltoaC035I6TtvgbMNo81O2qQptFdVgCxTv3kj\n435+FaYYfXYgEt62B0NocSrcmxjLAAotuJhMpqjnxUA2LPtD+Lg3kPn3v//NW2+9xerVqznllFPQ\n6XR88cUX6uRaFEUqKip46623uPnmm9m+fTuXXXYZJ598MsOHD0dRFJ555hl+/vOfc9FFF/GHP/yB\nu+66i6VLl1JWVsb7779PSUkJd999N/X19Wro2IoVK7j00ku57LLLuPbaa7nrrrvIy8vjwQcfZNeu\nXZxyyilMmjSJDz74gI0bN3LnnXdy//33k56ezkMPPcTLL7/M+++/T3p6Oo8++igVFRWqwbR8+XKq\nqqq47rrr2LFjB/fcc49qMD3wwAM888wzvPjii+Tm5vLII49w2223UVJSwu7du7niiis455xzuO++\n+3A4HFx99dXdLnp99NFH/OhHP2Lnzp2UlpbS3NxMW1sbDoeD2tpadbF469atjB49OuLYysrKKK9c\nyMNbWVnJoWTs2LHdCnUpisL8+fP57LPPeOihhzj++OOZPXs2a9asYeLEiVx//fVs27aNZcuWMXfu\nXO6+++5uvV8rV67ktdde49tvvyU7OxsIGqhXXXWV6mE699xz+d3vfsf555/PL37xi7jvYeHChXz0\n0UfMmjXrsBpNv/rVr9Qoq5/+9KdcfPHFbN26lcWLF/PnP/+ZrKwszjrrrMNy7mOZfs3SBUGgoKCA\ngoKCiHyk3lbfJk+ejMPhYM2aNVx77bXq9tWrVzNhwoSYk+dXX32V5uZmNm7cyLBhw6LenzVrFjfc\ncAPt7e3q8fX19axfv56f/exnUfsvWrSIRYsWRW3/4IMPgEMzcIRWL4cqRzL2uidC1e0Pl7HZvOPb\n4CS0I3cp7YSp6G122ssPkDR2PP62YO5S0pjYK2Kte7+n3eXCarEg6g048uJ7eCqKQnt1pNCD6TDX\nz4mXUJsfahobG3tcbBnsmNPSVYMpVi5TeOigKUZ9rYDVQm1bK4oiB70izjbMWdnq+0mjxtC6dw9y\nwI+iyHjr67Dn5uEsL8OYlIS/pQWd2YLkcaP4A1R8/CEj5x6a1eGBSmhSGCIUBqzRyWAwmHw+Hzff\nfDM5OTn8+9//ZvHixciyzBdffMHChQsBSEpKwmg08uWXX5KcnEwgEGDVqlX8+9//5te//jVJSUn8\n8pe/VHOffT6fGsIWGs9Wr17NSSedxNq1a6moqADg/vvvZ968ebz44osAVFdXs3LlSh588EEefvhh\nMjMzee+99zCbzezduxeHw0F6ejpOp5OHHnqIJUuW8KMf/QgIeh9CKIpCWVkZ//jHP5g/fz7vvPMO\nP/7xj9V8yz/96U888cQTzJ49mz/96U+sXr2aG264AYB9+/YRCAQYM2YMTU1NTJgwoUfBhK+++oo5\nc+Zwwgkn8Jvf/IZbb72VpUuXcvPNN/Phhx8ye/ZsIDhvChd7ANQC0OGEPLCHevErOTm527SMkpIS\nVq9ezTvvvMNZZ52FJEk4nU5GjhwJwI4dO1TjxOVy8ac//anb8zz66KP84he/UI0lQPWghep3+nw+\nvv76ax588MGo45cvX85NN93U7edLkkRtbS3nn38+mzZt6na/JUuWRIRRNjQ08Omnn0ao8a1YsYKT\nTjop4rhQH7n44ouBoJbAokWL2LNnD2azmaysLP785z9rBtNh4JAul/X2D2QymViwYAH3338/GzZs\nQJZlnnjiCZYtW8all14a85iNGzdSVFTEtm3b+Pvf/87SpUt54YUXqK2tBeC///u/0el0XHPNNbS2\ntlJbW8v8+fMxGAz893//d9zXHhKv6Kvyn8bQJVwZz5aZDYKI5HJiTssg0DHBsGUNi+ld8jQ24G3q\nfPg7RoyM20PkaagPFiTtwJqZPWQ9MyHq6up632kQozebMSYkqq899XV9qsukt1gxp6aqE4rwAsgA\nOqOR5LGdgjmtB/aSMva4znMpCulTpgFBifOKjz/os2LfYONQr4APRQbDuHfZZZexc+dOKioqWLNm\nDXl5eUybNo2NGzeq+zgcDgKBgBoZotfrKSgoUA0fh8MREaJfWFhIdXW1GnZfWFioTkxPOeUUXnzx\nRfx+P9u2bYtIwj/ppJNU2em3336biy66SDXCDQaD+veGDRtwu93dhkYpisIPf/hD5s+fr76WZRm3\n282BAwdoaWnhiy++YPjw4axcuVIN9QI4/fTTuf7663nhhReYNWsW48ePZ8+ePTHPA8EJdmgR98QT\nT6SiooKGhgba2trYunUrEycGxYpsNluU4ZyTk0N9fWRersvlwuv1HvIcwZ5ExNasWUN2drZqBIQ8\nvyGD/9FHH0VRFC677DLy8/P54x//GPNzAoEA69ev5wc/+EHE9l27dlFcXKyGI27fvh2/36+qOYdz\n2mmn8dJLL3X7c+GFFyIIAtdff32P93v++edHHDdp0iQuvvjiiG2xQgoFQVBVDSEoh97Y2KiW6Glq\naoqZ36Vx8BzxOLA//OEP1NXVMXPmTHQ6HbIsc8UVV/Cb3/wGgK+//lp1cZ9++ulkZGSwdetWzj77\nbEwmEzabDY/Hw9lnn82KFStIT0/nX//6F1deeSXJycnIskx2djb/+Mc/+lTlPfSP0tbW1sueGscC\nLd/vpuHrrap3KX3qdAxWC87yMpJGjyXgCubdhU9SQyiKoibhA+itNqxZ0d7RWMh+P576TuPBaE/A\nMATUvjSCsvP+1lYUFGQpgLexHkt6/MnB1uwc2BlU/vS1tuBra8MY5kFJGFlEy55dqiKju6EWR14+\nbWWlmFPT0YeFtLnramj67htSxkcrO2ocOwz0cU+WZTZv3sw555zDCy+8oOaSPPvss1x99dW4XC5s\nNhsmk0kNadXr9SiKQlNTk2pAmUwmfGE1yJqamnoVuwmFxYbv09jYqHomQmJFIdLT09U8zcrKSlJS\nUrqduMqyHKEIHPIq19fX09TUhKIorF+/nmXLlvGTn/wkIhTUYDDw5z//mccee4wtW7Ywb948/vd/\n/5cVK1ZEnWffvn0R6Q8LFizgpptu4qabbmLp0qXIsqx+9siRI9VJd4iTTjqJO++8k3379qnpEOvW\nrVPfO5SUlZWpOVpd6drWgiCQlpamfqdnnnkmZ555Js3Nzdx7773cfvvtzJ07V/VAhfB4PMiyHBEl\noSgKL730khqOB0GJ8fz8/CiBMoBhw4bFjHaCoGG3dOlSnn/++V7ziAoLCyks7Cw+/uijjzJq1CjV\nI9kdgiAwfvx4rr76aux2O++88w7Lli3jjDPO4MYbb2TFihU8++yzPX6GRv844gHZycnJvPbaa6xf\nv55XXnmF7777jmeeeUbtwElJSeTk5KjhOQ8++CCVlZW43W48Hg8NDQ00NTXx0ksvqZ951lln8e23\n3/Laa6/x5ptvsmfPnm7VcrpjMKy0aRw5DqxZhSIHPQCWtHREvZFAezvmlFTkDu+PNTMrZh6Iu7ZG\nNagAEgqL4/YQtddWoyjBlX9BELFkxVevSWPgozOZIuoyeerr+1RI1pScgs7cOQFzlZdGvC/qdBEG\nvLOslMRRwRVKb3MjiCL2jrBQRZap+PjDft2HxtBhoI97q1evZvfu3dx2220RifcnnXQSkiTx1ltv\nAahGzYYNG6isrOShhx6itLRUDTfT6/Xs2rWLAwcOsGXLFv74xz9yxhlnRIgCdcVsNjNr1iyeeuop\nXC4X1dXV/PGPf+THP/4xAOPHj2fNmjWql6qhoYHm5mZKS0s55ZRTqKqqYuXKlUDQ+Hr55ZfZtm0b\n0Cm0ECLkrSkvL+f4448nIyODM844g//6r/9CFEU1cuahhx7iueeeo6SkBICJEydy8skn891338Vs\nvw8++IAzzjhDfa3X65k6dSo1NTWUlZVF5CzNmjWLjRs3RuRCzZgxg9zcXBYvXozP56O1tZUlS5Zw\nyimnRIS0LViwQBXJ6EpTUxM1NTW0tbUhyzI1NTXU1NREiAB5vV62bNkS5fkJMX78ePbu3cs333wD\nBCMSBEFg69at7N69m7/+9a94vV6SkpK45JJLkCSJ77//Pupz7HY7ubm5vPLKK2qO6H333cfGjRuj\nDKbw1/Eybtw4XnzxxcMuurBkyRJmz55NQUEBn3zyCeeffz7Lly9HkiSeeuqpqPI8GoeGo5bBOmPG\nDObPnx+VZJiXl0dpaakaSyqKItnZ2RGx5yFp2XASEhKYM2cOP/3pT/slJBBy1w/UgUPjyOGuq6Hm\ni3Wd3qUp0xENejyNDZjT05E7HvRJo6Nzl5QO6eYQekdizJC9WPjbXar8NIA5NQ2d4eAS3TUGFpa0\nDAQxOLlTUHDXVMd9rCAIGDM6DWh3Xa0aGhrCkV+AwdbpkfTU12HLHobs86EzmUgeOyH4hqJQs3Fd\nRH0wjWOPgT7uvfXWW8yYMSOqdMiYMWOYMWOGmnsc4tRTTyUnJ4c777yTu+66iylTpqjvvfrqqxQU\nFHDCCScgSVJErkh3PPDAA3z11VekpqaSk5OD1+tVZbLvvPNOSkpKKCoq4rjjjuO6667Dbrfz4osv\nMnLkSO6++24uuOACRo0aRV5eHldffTXV1cH/98bGxgjvx4gRIzCZTOzYsQOTycTSpUt58sknSU1N\nJT8/n6ysLL777jvmz5/P22+/zfTp00lOTsbhcLBs2bJuw78OHDgQ4WECuPjii3n88cepqamJ8GaE\ncqg+/bSzuLXJZOJf//oXn3/+Ofn5+QwfPpzW1lY1pwuC+T7//Oc/1XvryqWXXkpWVhaLFi2iqamJ\nrKwssrKyIupkvvPOO6SkpKgGblfOPfdcpk6dyoknnsj06dMZOXIkgiCwbNkyysvLufHGG3E4HKSl\npTF16lQmTJjQrfH1yCOP8OqrrzJy5EhGjhxJa2srRqPxkBhMBQUFXHjhhX0+rq+Iosj8+fO5/vrr\n1UiqU089ldtvv51JkyYd9vMfqwweabbDTFJSkrqSo3FsU/re28hSR90kqw2d2Yosy5gSEtV6SuaU\nVCxp0VKjrqoKJE/nJNY4LL447yihB4MRc2r8IaUagwPRYMCSlk57bXBy4XO24mtrxehI6OXIIEJi\nIqLPgxzwAwrO8lKSijsXnQRRJHncBGpLNgDgqiwnedwEXFWVBNpdmFKSEfR6lEAAyeul5ot15Mzq\nOQREY+gy0Me9P/zhDzEFBgRB4I033lA9Q6HfGzdupLa2luOOOy5CCltRFK677jp++tOfYjAYOPXU\nU1Wv1Nlnnx0z9AqCEtrbt29n9erVWCwWLrzwQtUzNHPmTMrKyli9ejWiKPLTn/6UPXv2qMbn4sWL\nOe+88/jkk08wmUzMnTtXVQr+5JNPIjw0RqORZcuWMXXqVADmzJnDvn37WL9+PfX19YwZM4bJkycj\nCAL/+Mc/+PDDD9m6dSsWi4XTTjutW0XgkHEXjl6v58knn8Tr9Ubct81m45prruFvf/sbs2bNUrfP\nmDGDb7/9lo0bN2IymdTrCFFSUkJqaiqXXHJJzGt45ZVXYpaUSEzszOl85plnuP7667stjaLX61m3\nbh3vv/8+e/fu5dRTT6WwsJAXX3yRWbNmsWvXLt577z1aWlooKiri7LPP7lZV84ILLuDUU09l9+7d\nFBcXk5GRwR133BFxPWvWrDnieUCvvPLKoCoNcywiKP0pLDFEyczMZO7cuTz11FNH+1IGNDt37mTU\nqFFDUogg4Hbz6fVX4W8LSnoPO+2HmNIz8NTWkDCiEMkbrP+SNeNkbMNyI46VAwFqN67vmMwGldHq\n9SaKi3sPyfM01KuTaAB7bn7ck+ihwFDuU10J5biF+pKoN0TJjHfHzp07yTYbcXZ4MQVRR+aJJ0UI\niiiKQsVH7+NtbgLAlJSM5PfTtn8v1qxsGr/ZRsO2oHxv0uhxnLg4WglqKHAs9amDYSiMeytXrmTe\nvHkEAoGYeUljx47loosu4ne/+91RuLrBQ0tLC9OnT+fdd9+N8kx1x+uvv05bW5sqid5Xtm/fzoUX\nXkhJSYkmVqAxoBlaRSUOErvdPmCTXwcSBoOhz0VIBwtVaz9W848EUcSYkoqo0yMajaAL/rsYbPZg\nAn4XXJXlqrEEAo6Ckej1+l7bSvb7cdd1rvAa7I5jyliCod2nuiIIArbszqRhOeDHXR+fSqDBYMCY\nlgFCsC8qskR7l7A+QRBIndip7uRtbsKePxxBEJD9fhwjCgmtkrXs3oGrquLgbtzHUbIAACAASURB\nVGiAciz1qYNhKIx7obyb7oxjWZY1wzkOEhMT2blzZ9zGEsDcuXP7bSxBMD/pm2++0YwljQGPZjCF\nYbPZBmws90DCaDQOyYmIIsuUvrdGlVtOnXgCAgLuuhqsGZlI7cF8j8Ti0VGDr+z34wxLwrdmZWOw\n2uJqq/aaSKEHa2Z2j/sPRYZqn+oOvcWKKamzwK23oR4pTCq2O4xGIxJgyehU13OWl0ZJhFvS0rHn\ndNZUadu3F0fByGAeXnIKpg6Jc0WWqfzkPwd5NwOTY61P9ZehMO6lpKSQkpLSrVGUkpLSJ9VcDQ0N\nja5oBlMYNpuN9nYtCbo3DAZDhETrUKFx+zZcFWUAKIA9vwCdxYzi96PvSKTvrgCts6JMzW9CELHn\nFwC9t5Xf6VQLmkKH0EM3sddDmaHap3rCkp4ZIQDRtbZSLELtZM/rzM+QfV48DfVR+6aMn6iG+Uke\nN5bMTAQg4PWSOmmK6mWqXPvxkKzJdCz2qf4wFMa92bNnU1tb263BtHbtWn71q18d4avS0NAYSmgG\nUxgOh2PQhyYcCYxG45CciIR7lxz5QaPI29iIJSMTvzMYppcwsiiqAK3s96uGFgS9S/oOVcee2kpR\nFNprwoQejCbMMYQkjgWGap/qCVGvj/AU+dtdeJsaezwm1E4Gqy1C0t5VWR61r8FuJ7GoUxCibf8B\nHCMK8bU2B71PHemrnvo6Wvd2X/hysHIs9qn+MFTGvZ5qKul0Oi0kT0ND46DQDKYwEhMTaWlp6X3H\nYxyz2YzH4znal3FIcdfVUr95kyolnjJ+InqzGX9rS3BiqsgIgkhiYXHUsa7KchQpWLMJQcTR4V2C\nntvK29SI5OsMw7JmZh+zg/pQ7FPxYE5OQR9WW6m9tkaVrY+5f1g7hefR+Vqa8bY0R+2fPHqsarwr\nkh+91Yrs8aC32bBmZge9TIpC5dqPD8n9DCSO1T7VV7RxT0NDQ6N3NIMpjISEBG3giIOuVdOHAhUf\nvY/cUajWYLUhmi0EvF5MySmqmpljeAH6Lompst+Ps4t3SRdWkLC7tpIDgQihB6M9AYPdHrXfscJQ\n7FPxYhuWi0BHAU1ZwtVDaF54O5lT09BbOmvOOUsPRO0vGgykTuysJ+Kpr8eWk4e3pZnU445XvUxV\naz9B8g+t9j+W+1Rf0MY9DQ0Njd7RDKYwkpOTaW6OXqXViEQUxYhq4IMdORCg4uMPoeOe0iZPRQQ8\n9bWYMzLVFf/EolFRx7oqyyNzl7rkN3XXVp76OpQOA01AwJKZFbXPscRQ61N9QWeKDMX0O9tUSfCu\nhLeTIAhqrhyAt6lBDR0Nx56bh7WjfylSAIPNhq+pEUdBIYIoogD+tlYatmw+dDc1ADiW+1Rf0MY9\nDQ0Njd7RDKYw7HY77e3t2iB7jFG3uUTNHVGUoMKYaDShM5qgIzXekp6JMSEx4jg5EOjiXcpSw596\nIuDxROSqmFJSj0mhB41OzGnpEaF57toa5JAh3gOW9Ax0ps4+11a6L+Z+KROOV//2tjQHlRgFSCwc\npXqZyj96v7+XrzGI0cY9DQ0Njd7RDKYwzB2TXS3u/dii/MN3VbGHpFGjQaejvaYKS1Y2ktsNdONd\nqqro9C4hYM8riOt87tpqlA5DTNTpj1mhB41OBEHAmp2jhubJUoD26qpejgrWCrPnd3o1PfV1+F3R\nXiZTYhKO4SMAUCQJvc2Gq7KclAkTg9uA+q2bY3qoNIY22rinoaGh0TuawRSGvSOHZLDXpNCIH3dd\nDQ1fb4UOEyZp1Bh0BiOSx4PBZgPAaHdgzYqsjSQHArjKIusuxeNd8judERNaS3oGYg/qThrHDnqz\nGXNYrRhfWwu+1t5zS6yZ2YjGzrw5Z3lZzP2Sx45H6Ch463c5MSYkYhuWi85gCIqdBAJUb1h7kHeh\nMdjQxj0NDQ2N3tEMpjBSU1MBqKurO8pXonGkqPysswaN0W5HZzLjb2vFmpFJoGMCkVBYHKVe115V\niRwIqZkJUblL3eGuq1H/1pnMGMOKl2pomNMiQ+zaq6t6VM2DDi9TWJFad001AXd0XR2D1UbCiJEA\nKIEABrsdd2M9yeOPC24Daks2HIK70BhMaOOehoaGRu9oBlMYoYGjqSl2wrXG0EKRZSo//QiUoMGU\nevwUEATc9XWY0tJRZBmdwaiGMoWQJQlnWacimSUzK0o9LxbelmYCHnfncemZx6yMuEZsBEHAlj0s\nIjTPVVXR63HW7GGI+lB9MAVnmPcznKQx49X9JI8Xye0msXhMx2EK9du+wtNLLSiNoYU27mloaGj0\njmYwhREKTXBqcfzHBE3ffYO7thoIFpG1pKUj6HQYbA4UKZib5BhRiKjXRxzX1bvkyO/du6QoCp4w\nGXGD1YbR4Tg0N6IxpNBbrJGqeS5nrwVtRb0eW16++rq9phrJ643aT282kzJuAgCy34c5JRVLeqYq\nOKHIMhX/0cQfjiW0cU9DQ0OjdzSDKQxHxwR2KFQ91+idik8/UsPxHHnDEY1GXJXl2IYNQ/J4OgrV\nFkUcE+VdSs+IqIXTHd6mxog6N5aMzEN0FxpDka6qee21Nb3WSbJl5yCEjHtFjuin4SQUFmPqCAVV\nJAlPfS1pJ0ztOE6htmT9wd+AxqBBG/c0NDQ0ekczmMJISUkBoL6+/ihficbhxu9yUrtxfTDZHUge\nNwEEESUgqTkk9ty8KGOovaoSWZ24CjgKIsP1YiFCVJHaeIwsjWMXQRCiCtr2ppon6vXYsnPU166q\nypheJkEQSJ14AgCS14POYiGxqFh9v3Xf9zgryg/FbWgMArRxT0NDQ6N3NIMpjPT0YBiMlvw69Kn8\n9CM1n0jU6TElJRNwtmHLzVOllbtKicuBQKR3KSMzLsNHbmuJLFKreZc04kBnMmFOz1Bf+51teFt6\nLjBqz81HCKkuKnK3dZksaenYhuUCQUPLYHdgsAc9DYoClZ/+5xDcgcZgQBv3NDQ0NHpHM5jCMBqN\n2O12Ghu1pOehjKIolH3wDsgyCpA2aTKyAu762o5QJQVTUgqm5JSI41wVZRHeJXscuUuSz0cgTBra\nlJKKzmTq4QgNjU7MqWmRBW1rqnt8aIsGA7Ywxbz2qqqYinkAqROORxBEAi4X/vZ20kNheShUre1U\nj9QY2mjjnoaGhkbvaAZTF+x2u5b8GieKohztS+gXzTu+pb2yQ3lMUYKr8ihYMrNVKfHE4i7eJb8/\nQnnMmpWNwWrr9VzuupqgXrOiIIg6rUhtLwzWPnW4iFXQVmqs77Gd7Ln5EYp5rXv3xNzPYLeTWDwa\nAJ3RSNKoMep77vo66rduPjQ3cZTR+lTvaOOehoaGRs9oBlMXjEYjPl/PydUaoNPpkCTpaF9Gvyj7\n8B2UDilxe24+osWCs7wMc2oaiiyhM5ki6toAuKoqOsPqRF2U1HgsAm43vtYWRFFEkmQsaelakdoe\nGMx96nDStaCt4vHQ3tjQ7f6iXo99eIH62tNQ320oX9LoMeiMJvwuJ3qrDUeonpiiDAm1PK1PxYc2\n7mloaGj0jGYwdcFsNuPxeI72ZQx49Ho9gUDgaF9Gn/G1tXWKPSgdYUkK6AwGdZ+EgpEIYue/hhwI\n4CovU19bMrPiCqsLFanV6UTQiVEhfhqRDNY+dSQwp2WooXk6nYirqhK5h7ayZeegCwvla9v3fcz9\ndAYjyWPGgSwT8HhInzJdfa/2y414esmZGuhofSo+tHFPQ0NDo2c0g6kL2sARH4N1IlK36Qskf7CG\nks5oRG+34WtrwTosB6kj18NRMDLiGFdVRUTdJXtupPcpFn6XE78rGOIiijr0SSkRRphGNIO1Tx0J\nwkPzRFFHwO+jvaqy+/1FkYQRnf3Y19oSodQYTsLIIgx2B5K7HceIQnTG4GKAHPBT/v7bh/ZGjjBa\nn4oPbdzT0NDQ6BltBtcFLTQhPgZrqEvVuk9VsYeUDilxT12tqhBmzcrGYLOr+yuyjCtMYtmald2r\nMp6iKLhra9TXepMJIY58p2OdwdqnjhR6sxlTahqiKCBLMj5na4+qeZb0TAyOBPV1677vYwo5CKJI\n6oSJyAE/st9H+pRp6nuVH384qMUftD4VH9q4p6GhodEzmsHUBW1FMj5EUUQeZBMpd10Njdu3BV8o\nCrbcfARRxJyariqJJYwojDimvaYa2ddZy8YWh3fJ29ykSpYDmNIztMTzOBiMfepIEyqUHOpP7ppq\nZL+/2/0TRnYWXpY8bpzlpTH3sw3LxZKeid/ZRsr449Tt7XU11G358hBd/ZFH61PxoY17GhoaGj2j\nP9oX8NFHH/HGG2/gcDi45ppryM3N7XH/jz/+mM2bN3PTTTcB4PV6eeaZZxBFEb/fj8/nQ6fT4XQ6\n+dWvfkVaWLJ0PGgrkvEhiuKgMwJqNqxDkYPXbOyoO+OqKCNhZBGS14PBZseaNUzdX1GUiLpL5rT0\nXpXxZEnCExb6ZLDZkSy2QddWR4PB2KeONIIgYM7MxlsRzKmTpQDt1VXY8/Jj7m9KTMKSnqnm0zlL\nD2DNzI6Zg5c6cRLlH76LOW84CQUjad2/Nyj+8OG7ZEyeFrX/YEDrU/GhjXsaGhoaPXPUPEyyLHP5\n5Zfzwx/+kI0bN7J8+XKKi4tZvXp1zP0VReGRRx5h9uzZrFixQt0eCAS46aabuPXWW3nooYf461//\nyp/+9CfeffddWlpaYn5WT+h0Om1FMg4EQRh0E5GqdZ+C0hGOd9zxyAE/ks+HoA+uGySMLEIQBHV/\nd001UpinyJ4be1IajqeuFlkKrtQKCFgzswdlWx0NtHaKD9FoxBAmIOJztuJr7f5ZlzCyCEEMqjMq\nskTL97ti7mdKTMKRX4C/pZk0tSYT1H5Zgqeh/hBd/ZFF61PxoY17GhoaGj1z1Aym5557jldeeYW3\n336b9evXs3PnTi677DJ+/etfxwwNWLVqFbfeeiu5ubmIYcnzNpsNg8HAww8/TFlZGfv27aO0tJS1\na9dSWFgY9TkaxyauqgraDuwLvlAULJlZyF4fjrx8Ai4XOpMpIhxPkeXO/QFTcgrGhMQezyH5fXib\nOos/mpJTtCK1GocFQ3IKOpNZfd1eXdWtap7OZIoosuypr+vWAEoeNwG/s42EomL01mCuniJLlL63\n5hBevYaGhoaGxuDiqBlMzz//PJdccgn/9V//BQRXuO644w5KS0v54IMPovY/66yz2LlzJ2eeeWbE\nSpjb7cblcpGamsrzzz/P3XffzdKlS/ut+CPLcoSXQSM2KSkpJCUlHe3LiJuqtZ+gdIg9mBKTMNhs\nuKoqMCalAApJo8Yg6jsjVNurK5G8nX2oq3JeLDz1dSgEV7NFnR5zegYAVqsVm00TfegNzRMQH6F2\nsmV3ho/KUgB3bXW3x9hz8yPESlr27IppYBmsNhILi5G9PjKmnqhur/jPez3KmA9UtD4VH9q4p6Gh\nodEzRyWHyeVy8cUXX3DrrbdGbC8oKMDhcLB7927VkAphNpspKiqiubmZxMTOlf7q6uAk4dJLL8Vo\nNDJ69Gi+++47/vKXv1BSUoLZbKYvSJKE6RjyCkiShM/nIxAIIEkSsixHTTIEQVB/dDodOp0OURTR\ndRRhFUVxQA+2iixT+dnHoCigKKROnITf7cGalU3A097hXepMjpf9ftr2d3qXzGnpGMPUxmIR8Hjw\nNjepr00pqWqRWqu1d1W9UPuHvoPQT+i7CP9OBEFAFEX0er36o9PpBvR3EA9Wq1XtU4cCRVHUdgxv\nX0mSovp4qD/rdDr0ej1Go3HAtqeiKMHv32LFnJKGpzHoLfK2NGNwJGJ0OKKOEUSRxFFjaNi6GQDJ\n66Ft/14Si0ZF7Zs0aixlH7xNyoRJVH76kfrZVes+ZdippyNJEn6/H1mWI/prrD4a/qwI/YSeJUcC\nvV4fEZEw2FAURc3NDW/rEOHtHGpro9HY53s+1sY9DQ0Njb5yVAymhoYGJEkiKysr6r2kpCSamppi\nHNV5bF5ep1JZyGA6+eSTee2110hMTOT7779nwoQJLF++nMsvvzzi+EWLFnHvvfdGfa7JZMLj8SBJ\nEjqdDkVRBuyECYIDnNvtxuv14vV68Xg8+HtQy+qO0AAbmnSLohg12IYmQ6EJUvjAHfq7P+c1m80Y\njUYMBgNWqxWTyXRY2rxx+9e4a2sITecsWdl4GhtJHFGI39lG0pjxEd4lZ3lpRN2lcO+SLMtqe/t8\nPvx+P36/H291JVJ7UGlP0Okw6AzIDZ3heb0Rav/w7yBkiHadYMqyrBq5oZ++JmzrdDosFgt2ux27\n3X5IDZX+0tULJ0kSLpcLp9NJe3t7v5LSQ+0YMixDk8vwNu1qsAYCAfx+f5+9EwaDAZvNhs1mw2Kx\nHLY2zcjIUP+2pGfgb2tF8gclodurK9Bbi1VjPRxTYhLW7GG4KiuQJJm673fTqoBbifbECI5EdHod\nyWPG07RjOwAH/v0mvrwRyLIc0Zbh/TVE6LkQ/jvWhD9ejEaj+rywWq2Yzea4nhXJycl9PtehJhAI\nqM9nt9uN2+3ukyKdwWDAaDRGtHXo3mO1b8iYjQdBEBg1apQ67mloaGhoxOaoGEyhUK7W1tao91pb\nW3HEWCENUV9fz7RpnYpNRUVF3Hbbbdx9993qcYWFhZx00kls3LgxymDqjtBgIcuyqqy0a1fs5Oje\nEEURg8EQNQkO0XWAC60e9vUcFosFk8mE3W4nPT0dg8HQr+s9GsiyrBodPp+PmpqafoVRhjwCXSdv\n4R6x0vfXoCgyKAqO4SMQDSYQRVrq65FREEQ9NTt3Bj9PkWnfsR06JhymjCyc5RXqhDJkYIYmb3a7\nHbwevG4nJAU9n9asYZjDkvIHIoFAALfbjdPppLa2tk+T2PA+HW6IAFGGXcgbETJC+oIoithsNux2\nOxkZGQPaixbyBLhcLpqbm6mqqupTm4b6aqhNwz0z4YZd+EKF2qY+P77qKvWzappaEJKSYxp8OkHE\n09aGIEkYjSaE2moKp89E1+XZIY0YQcXHH5I+ZZpqMLXt38tot5PUccdFfe7hJNS2brcbn89HbW1t\nv54VsZ7LsbxdiqKgKEqEMRJamOhPiJ9Op8NsNmMwGAZsXw6NexoaGhoasTkqBpPD4cBqtVJWVhax\nvaqqipaWFiZNmtTtsS6XKyIkLz09nQcffDBqP51OR1tbW9zXFDI2/H4/BoMBURQZPXp03MeHEz5J\njLWqqtfrMZlMESEUev1RV3jvE1VVVSQkJPQ7N0cURaxWa6/haj0RmtQEAoGIiWRoYqkoCric1G3a\nqB6TMv44PPV12HPzCbicpE08geSiznC8xu++wZoSNHYEvZ6MaTPQGYw9XkNrVQV0TH50JjOmpMhV\n7ZaWFsxm84AKedHr9Tgcjh4XJ2IRayLZXSinwWDAZDJhMBjUiepAmiQeSgRBwGg0YjQa++XV6GoI\nxQp1CxlT4UaVwWBAp9PRnpqCp6lB/TzHsGEY7PaY5/KkpnTWI5MCOEv3k1hYHLGPzmjEkZePt60N\na9Yw2qsrURSF/ateO+IGU3jbHgzhntnuQjOhM8TYZDKpRmvXhYGhRmjc09DQ0NCIzVGZpQuCwOzZ\ns1m1ahVXXnmlun3VqlUIgsCUKVO6PdZoNEatVHcNn2tqaqKkpITf/e53UccvWrSIRYsWdfv5h2Lg\nCK1eDmX8fv9Rn/wKgqBOZLpj17urUaQAKAoGqw1LVjbOslIEWcZgtpAYVtjT29wUUUPJnje8R2MJ\nwNvUqIZDAVizsqPapaWlZchMRkJtfjhoaWnBYrEc9MR4MBIeOtibYR1K0A/vZ5aMYNHZztC8yg45\n8egJvjk1DUtGlioS4aoow5SSGuUVTSwaRdUXn5M18xT2vv5PAOq/2kRb6X4c+QUHc7tHDI/HoxqV\noTBgjWg0g0lDQ0OjZ47actkVV1zBqlWr+OMf/0hzczOvv/46t912G/PnzychIZhgHx6mJssy69ev\nR6fTsXXrVrZs2QIEC9nm5OSwbVtwxbS+vp6LL74Yn8/HRRdd1OfrCgQC2sARB4MhhEPy+6j4uFNx\nMX3KdDx19dhz8pC8nghlPEWWadm9U91XZ7Zgz8mL+sxwZEnCU1+nvjbaE2IWth0MbTUQaGpq0mrB\nxEFpaSlerzdimyCKWMNU8yS/D3eY8d+VxMJiRGOnYda841ukLp8pGgzYMrJwjCzClBgMo1YURTWe\nBgPV1dX9yu081tDGPQ0NDY2eOWqzuDlz5vDII49wzz33kJyczHnnnccPf/hD/vrXvwLBSabJZOLS\nSy8FYOXKlZx00kls376d119/nfPPPx+A6dOnM2HCBCZNmsSwYcP+n737jpLsqg99/z2xcnWO090z\nPdOTZzTSSEiAJAQoYUAChIQQsvCDZ5MkX1n4LhDJFsvX12sZ+y3eXc/4muBngSXgSYBkhNAoIxQn\np5483T2dQ3V35XjC+6O6aqqmU/WkrpnZn7V6SXX6VNWuX5+pvX9nJ+rr69m6dSu//OUvZ1xUYj6J\nRELchSyBYRhlP4xw+PXXSIdC+R5IX/sKzGQMyO5N4y/oXYoNDmAk4vnHFR2rZrw7XygZGCvapNbV\nMPP1diHEqhyIOJVmtjhpHm8+sQFITgSKrulCsqZRtXpt/rGVSTN5cP+0IWr+5R1I2DRe+778seG3\n3yA2NHCmH+O8ENdUaUS9JwiCMLdFq0kkSeKhhx7iM5/5DJ2dnTQ3N7NmzZr872VZ5sYbb+Smm24C\n4K677ipaHCFXCbrdbrZs2cLrr7/Orl27aGxs5LbbbsPlcp1WuRKJxGk/91JS7qsq2bbNied+C1Nr\n41WvvwwzmcDd2IyZTFB3xVX53iUzlSJyoiv/XGdtHc7qmjlf30ylSE2cnDPiqKpGmWUoWbnHqlyI\nOJVmrji5GprIxKL5PZNigwP421fMmPw7qqrxti0j2tsDQDocItrbg29pe/4cWVVx1TdipTNoXh+Z\naATbNDn+5C+47C//+ux/uLNMXFOlEfWeIAjC3Bb91ltDQwMNDQ0z/m7Lli1Fj3OTx08lSRLXX389\n119//RmXJ51OX5JzKE7HYs9hmsvkoU4iJ7rzd8yr1m0gOTmOr3UZqtNV1CgMdx3Dzg3/lOSiPZlm\nYts2saGB4k1qa+vmfE45x6qciDiVZrY4yYqCu7GZaH8vAGY6RWJ0BHdj04zn+5a2k4mESU1ml8CP\nnOjBUVWN7j+5sI5/aTuxkRGarr2B3i3PADD85h9Zcec9RZvnlitxTc1P1HuCIAhzExMrCti2TSwW\nyy4VLVzQ+p5/NrtRLeBpbkFxunA3NGPEY9RsvDx/xz05OUFibCT/PF/bUtR57rSmJsaLhjo56+qL\n9nEShMWk+/zFQ/Mmx8nEojOeK0kSlavWIqu5G1E2k4cO5HuoIDs/ytfcjH/FSjRvdlVFyzQ4/qtf\nnLPPIJw/ot4TBEGYn0iYCiQSCUzTXPBSy0J5SY4HGNn6Vr53qe7yK0lOBFB0DXdjU/5uu2Wa0xd6\naF0652ubqewd+xzN7Sn7PZeES4+roakgCYL40CD2LAtqKA4HFatODoc2k4mifxcA3pY2FIdOU+Fc\npjdeIzbYf5ZLLpxvot4TBEGYn0iYCuQ20s2t0idcmHqefRp76g656nbjWrIEZ3UtZiJJzcYr8ueF\nu45hJhP5xxUrV8+50MOpQ/EkWcHdvOQcfQpBOH25oXk5ZiZNcnxs1vNdtXVF5yfGRoj0ncg/lmQZ\nT2Mz/vaOol6mY088fg5KL5xPot4TBEGYn0iYCgSDQQAqKyvnOVMoV5lolP6XtuR7lxqufi+ZUBBJ\nlqnoWIU+dRc1OTFOvGClL3dj87w9RacOxXPXN8y7T5MgLBbd5yuai5QMBDASiVnP969Yieo5OSwr\n0n2c5NTcJsjOd1IcOs3XvT9/bPit14sSK+HCI+o9QRCE+YmEqUAoFAKgoqJinjOFctXzu6fyjUJZ\n1fB3rELzeJGwqVqzDsjebQ8ePph/juJw4m9fMefrThuK5/HiEEPxhDLnrm9EVqb2GsMmNtA369A8\nWVGoXrexaCjf5MH9+X9PkizjbWvHu3TZyX2ZLItj/99j5/hTCOeSqPcEQRDmJxKmArmhCaLiuDBl\n4rHsKl5TvUv1V78bK5XCMi1qNl6BPLXCYujIIaxMOv+8ytVr87+biW3bxAb7i4fiXQCrgwmCrGlF\nK+SZmTTxkaFZz1ddLqrWrgeyK8vZhsHEgX1YU6tIeltaUV1uGq+9If+c0W1vEzp+9Nx8AOGcE/We\nIAjC/ETCVCAWy25q6vF4Frkkwuno+a9fk5n6G0qKQs36TSgOHVd1Dd7WNgBiQwMkxwP553hbl+Ko\nrJrzdZOBUYyCuU5iKJ5wIdH9FUXXeCo4OeuqeZDdn6mwx9WIRQkdOQRkV9XzLVuOt21pfq8y27I4\n/LN/n7bprXBhEPWeIAjC/ETCVGB8PLsRaVXV3A1oofykIxF6nzvZu9Rw9XswzQxWJkPtFVcC2flN\noWMn74RrXl/RfkwzycRjJAInJ8uLoXjChci9gFXzALytbbjqTu6PlxgbIdqX3dvJ09SMrOs0ve+D\n+d9PHtzPyNuvn4OSC+eaqPcEQRDmJxKmAqOjowCzbqQrlK/up58gE8/eKZVVlZpNm5EUhaq1G1Bd\nbizDYPLgfrCzjcTs79bPuSqeZRjEBvryj2VFxdMkVsUTLjySLBddu9mhecNzPqdi1ZqiRSDC3cdI\njI0gSRL+pctx1dXja1sGZIetHvn5zzALhroKFwZR7wmCIMxPJEwFgsEgDocD1zwblwrlJTE+nt2o\ndkrDNe/FlkDVHfmhRaGjh4tWuKtYuQbV5Z7zdWOD/UUbeHqaW+ac6yQI5Uzzeos2tE0FJ0hHwrOe\nn10EYkNRz1Tw8CEy0Wh2LpPbRWPBvkyJkSF6nnnq3BReOGdEvScIgjA/kTAVCIfDYi+KEpTbXIXj\nTzyGkUwC2UnuNZe/CzuToW7z1UiSRHSgj8TYyRXuXA1NuOvnvpuaGBspHGq+mQAAIABJREFUmufh\nrK5F83rneMbMyi1W5UrEqTRnGidXQ1PR/Lv40CBWJjPr+arLTfXGTSBlqwrbMpno3IuVyVC5ej2q\n203tps35snX/5omiIayLSVxTpRH1niAIwvxEwlQgEAhQXS3mp8wnlUrhdDoXuxgARHpPMPDqi/nH\nzdd/ELCo7FiN7vORCk4SPn4s/3vV46WiY9Wcr5mOhIsafarLjWueBGs25RSrcibiVJozjZOsKHiW\ntCBNrYJnmQax4cE5n6P7/FSuXpt/bKaSTB7cj6u6Bt1XQc2mzSgOR/53Rx77j9Mu39kkrqnSiHpP\nEARhfiJhKjAxMUFNTc1iF6PsxePxshm+ceTx/8hPXtc8XmqvuBLV4aBieQdGIs7EgX2QWw5cVbND\njBRl1tczkkliA/35x7Kq4l3SiiRJp1W+copVORNxKs3ZiJPqcuOsrcs/zkQjRStHzsRd34C3dWn+\ncToUJNx1LDsPEJum6z8AZHt1ht/6I+Ode8+ojGeDuKZKI+o9QRCE+YmEqUAsFhNLq5Ygk8mg64u/\nrPbozm2M7dyWf9xy4y1Y6TS1l1+FlckwsX8vdn4OkkTVmvVzzluyMhmifSewcwtDIOFZ0npG85bK\nJVblTsSpNGcrTs7aOlTnyWQiMTqSH9Y6G9+y5UUrRMYG+zFTSVyNzXiaW3BNJWG2ZXPksf+YcxW+\n80FcU6UR9Z4gCML8RMJUIBqN4j2NeSqXmnQ6vegNEcswOPrzn+Yfu+oaqFq/iao165A1jYkD+4oW\nefAv78jvGzPj65km0f5eLOPkfA53UzOa+8waEuUQqwuBiFNpzlacJEnC09KKJGd7W22mNmeeI8mR\npOxNB6Ug0QodOYRnSQvIUr6XCWzCx48y8NrLZ1zOMyGuqdKIek8QBGF+ImEqMD4+LsZylyCZTC76\n3IDu3/6ayInu/OO2D30U3evDWVtH8PAB0qFg/nfupma8La2zvpZt28QG+oo2p3XW1M27oW0pyiFW\nFwIRp9KczTgpmo67oTH/2Ewlic8zn0nWNKrXbURS1fyx8PFj+FqWolVW4l/eAUwtM/6f/04qOHlW\nyno6xDVVGlHvCYIgzE8kTAWCwaCoOEpgWRbyHPsXnWvRwQF6nv5V/nHl6rX4OlZRuXIVoaOHSRYs\n2OCorqVixdyLPMSHB4tWxNN9FfOuoleqxY7VhULEqTRnO06Oyip0X0X+cSoUJDkxPudzNK+Xmg0n\nV87DMjHTKRRFoem6G/J7m6UjEfb/7/+1aKvViWuqNKLeEwRBmJ+oTaZkMhmSySQ+n2+xiyLMwbIs\njv780fwmtZKi0H77J6lctpxIb0/RHXLN5593c9rE2EjRXXDN7ckOMRKES4S7qRnFcbInJjEyXHQD\nYSa6v4KqNevyj814DM1fiW3aLHn/TdmDtk1g9w6G33r9nJRbOHOi3hMEQSiNSJimhEIhACoqKuY5\nU1hMQ6+9wsg7b+Yft9x4K/4VK0lOBIj0dOWPq24PNRs2zbkiXnI8ULR8uKI78LS0nfaKeIJwIZIV\nBW9LW/F8poF+zEx6zue56urxt3fkH0u2heJ04m1bhrelLftals3hn/07RiIx28sIi0jUe4IgCKUR\nCdOUWCzbYyFWCypfsbExjj3xeP6xs6aOtg99FDuTIXz8aP64rOlUr79sztXtkuMB4qPDJ5+janjb\nls6ZYAnCxUrRdbxLTs7zs0yDWH/fvCvdeVvbcDctyT4nk0Gv8JOJx2m6/v1TNx5sUhMBjj3x2Lks\nvnCaRL0nCIJQGpEwTUlOLakrJgmXJ8s06f7Vz0mMjeSPrfr0fahOF8HDB/PHJFWlZuPlqHPsvzIt\nWVJUfG3LUDSxopZw6dK8Xlx1J+fuGckEsaGBeZ9X0bEqv9y4ncngqq0FG+qvfk/2mG3T+/tnCHUf\nPzcFF06bqPcEQRBKIxKmKaLiKG8jb7/BwKsv5h83XPNeqjZcxuTBTvIb0yoKNRsvR5tjidxEYGxa\nsuRtW4bicJyzsgvChcJVW4fu9ecfp8OhopsUM5Ekiaq1G9C8PrBtVKcLSZapXndZ9hjZGx4Hf/yD\nRVsAQpiZqPcEQRBKIxKmKWIsd/maPH6UY08+nh8epHm8dNz9WSY790Fuk1lZoXr9Zeg+/6yvEx8Z\nLmr85ZIlVTQWBCHPs6SleFPbwBipgmX6ZyKrKtUbNqE4XVjpFM7aOtKREK03f2jqDJvQsSP0vfD7\nc1hyYaFEvScIglAakTBNCQazDYLKyspFLolQKB4YY+CF3xMb6M8f6/jUvUS6j5HrWUKSqVq/cdZ9\nk2zbJjrQR3IikD8mqyJZEoSZSLKMt6UNuWCvpfjgQH5lytkouk7Nxk3IqoYkgbO6CtXrp6Jwb6bH\n/oPY8NC5LL6wAKLeEwRBKI1ImKaIya/lx0ilCOzYWjQUr27zu3DWN+R7lpBkqjdchrNq5n1EbMsi\n1t9HOhzKH1M0Hd/S5SJZEoRZyJqGt2Up0tReSzY2sf4+zFRqzuepLjfVGzeBDZrXj53JsOTGW5CV\nbPJlJBIc+OH/I4bmlQlR7wmCIJRmURMm27Z58skn+dM//VO+/OUvc/DgwXmf85vf/Ia//du/nXb8\n0KFDfOUrX+Hee+/lySefXHCFnBuaIO60lQfbthnbvZ2eZ36TH4qn+/0s/egnMHN7xMyTLFmGQaS3\nh3Q0nD+mOJz4lraj6GKBB0GYi+pyFe1JZpnZf0/zLTeu+/xUrl6LlU7jqq8nFQzReuuHp35rM9G5\nl94tvzuHJRdKJeo9QRCE0ixawmQYBh/72Me4++67CQaDbN++nQ0bNvDzn/98xvMty+Jb3/oWd9xx\nBy+99FLR7374wx+yYcMG3n77bcLhMPfccw+f+tSnFpQ0RSIRALGBX5kY37+XsW3vEB+ZWqBBklh5\nz5+Rzg2rmydZMpJJIj1dGIl4/pjqcuNb2j7ncuOCIJyk+/y4G5ryjy0jQ/RED1YmM+fzXHX1+Jev\nRJIkHJWVuBub8C1tB7I3Q4794mckJsbPadmF+Yl6TxAEoTSLljD94Ac/4IUXXuCNN97gmWeeYevW\nrXz1q1/lq1/9KqkZhn089dRT/PM//zOrVq0qSoR6enp44IEH+OY3v8n27dv57W9/yxtvvMGTTz7J\nyy+/XHJ5wuEwsizjdrvPyue7mHV0dMx/0hmI9PcSPdHN0Ouv5o81XnMtuj+3oINE1dr1syZL6UiY\nSE9X0Z1wzevD17bsvO+zVFtbe17fTxDONmd1Dc6auvxjM5Mm0tuDZRhzPs/b0oqnuQXd68NKp2m7\n5cP5oXmZeIzD//HDc1puYX6i3hMEQSiNOv8p58Z//ud/8vnPf553v/vdQHZp2oceeoh/+qd/4vnn\nn+e2224rOv/222+nt7eXb37zmxw4cCB//IknnqCmpobvfOc7yHI2/7v66qu57rrrePTRR7nxxhtL\nKs/ExASVlZX517hUmKZJOp3GMAxM08SyrGk9c5Ik5X8URUFRFGRZzv9XluWpTSrPXDoaJXj0cPFQ\nvIpKWm76EOngRLZnad0GnDUzJyKJsRESgbGiY86qGlwNjWetjAtRU1Mz7zm2befjn/sb5H5yf4vC\nv4kkSciyjKqq+R9FURbl850Ntm1TVTXzgh1n+rq5OBbG1zTNadd47npWFAVVVdF1veziadv2opXJ\nXd8AlkVyIoB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SoDpddNx1D1Y6O25e0R34lrXjqq1b3MILgrAonNU1+Fd0oHv9Rccz0Qjt\nd3wKzePJrnpnZAjs3kUqOIGs6Qy+9hKThw8sUqkvDqLeEwRBKI1ImKaIIRxnxkjECezdxdiunaia\nTjIwhqxqWJk00b4TSIAkK6y48x6kqV4kR2U1/vYVRcNyBEG49Ciajre1DV/bMlSnK39cQmLFJ+9B\nUhQkSSJyogvV6SI1OU46HGZs+1bG9uxYxJJf2ES9JwiCUBqRME3JVRxiE7+FS06ME9i3h/E9O9H9\nfoLHD+NZ0oLm9TH42sv5oXg1m66gcs06ZFnB29KGp6k5P9xGEAQhO49xBZ7mFmRFBWwqVq+hau0G\nkGWQJAZeeRF3YzOq00W4p4vJA50Mvf4HLLEq3oKJek8QBKE0orU6xeFwYNu2WFlpgSK9PUwePshk\n5z40r5/g4YP421dgJBMMv/katm0jAbq/guWfuCs7b6F9BbrPP+9rC4JwaXJUVOJf3oGzqgY7nWH5\nnZ9GdbmzQ/NMg7GdWzFSCbxtSwkePkB0oJfe536LkUwudtEvKKLeEwRBKI1ImKb4fD4AwuHwIpfk\nwmAZBhMH9hEb6Cd4+ACqy03kRDfOmlqS4wGMaIT46Eh2KJ6isPKeP8Pd0ISvdekFvbeSIAjnh6yq\nuBub8C/vQPd46bj7XiRZQQKiA/3Iikq46zjetmVMHuzEiMfoevpJkgUb4QpzE/WeIAhCaUTCNKWm\npgaAycnJRS5J+VNsi8DuHaRCIYJHDiGrGonACLYkYdkWrroGht9+E8guIdxwzbU0Xfc+HJVVi1xy\nQRAuNIrDga9tGU3Xvp/ayzcjKdmlxodef5XKVWuIDw+hV9cwcWA/sizT9dSTRPr7FrnUFwZR7wmC\nIJRGJExTqqqyjfmJCXF3ci6pyQmSRw9jGRlCxw5jWRZmKklqchJPYxOa20P/S1tAAkmScDU0su7P\nv4yi6YtddEEQLmC618v6L/4lur8CSZaxbZvhN/+Io7IKRdORNI2JA/vRvT5OPPs02tjwYhe57Il6\nTxAEoTQiYZpSUVEBQCgUWuSSlCfbsgh3H2d8325UTSV07ChWKoXicBDt76WiY1V208njR8nEokiA\nrOlsvP+hi2YjWkEQFpejopK1n/8S8tSqefHRYWzTJD48gH9pO7ZlMnFgL46KSiZ2bKX/5RcwM5nF\nLnbZEvWeIAhCaUTCNMXj8QCIXc9nYCSTBPbszC4Prmuk+npJx6Jo/kpCRw/hW7qccNcxnJXVTB4+\nmJ23pKos//idVK5cs9jFFwThItJw9XtouPq9yKqKhMTQ669Svf4yxvftoWrdRizDZPLwAby1dYx3\n7qXrqSdIjI0tdrHLkqj3BEEQSiMSpiniTtvMEoExxnZuJRMJI+s6oSNHMBJxXHX1BA914qxrIDUx\njr+jg76Xnssv8lC5cg3tH79rsYsvCMJFaM3nvoijqhpJzc5n6n/hOao3biJ4sJOqNeuwTYvw0cO4\nauuJDfTR9dQTBPbvxRKrwRUR9Z4gCEJpRMI0JTf5NRAILHJJyoNlmgSPHmLywD5sw0DSdCY695OJ\nhvE1L2HywH5UnxfV4UCvqmLwlZewDQNkGdXpYv0X/xJ5anK2IAjC2aT7fGz48oNIsoykKKTDIcLH\nj+KorSUxOoK3bSm2JBE6dgh3QxOZWISBl59n8NWXSAREb1OOqPcEQRBKIxKmKRUVFTidToaGhha7\nKIsuFQoytmMr8aFBAGwkxvfuwjIyeJa0Ejx0AFnX8Ta1kAxOEj3RTWpyAiQJWVFY9xf342lqXuRP\nIQjCxax63UaWfvhj2c2vZTm7F5zLjZGIo6gaenUtkqoROn4Ed0MztmUS2L+b/pefZ2THVjJiGJqo\n9wRBEEokEqYpkiTR1NTE8PClu7KSbVmEuo4xvmcnZjKBaZhkkkkm9u9GUlVc9Q2Ejh0BScK/fCWT\nhw7g8PmZPNgJSMiKStuHbqPxPdct9kcpG5qmkRGTzucl4lQaEadiHXfeg3/5ymxvtiTR98LvqVy9\njlDXUdwN9ehV1aguD+Guo7gbm0GSiA32M7F3N0Ov/4HxfXsu6UUhRL0nCIJQGpEwFaiqqiIYDC52\nMRZFOhImsHsHsf5eTNMkHY1gxKNEuo+hutw4q6qJ9vZgmyaVq9cyvncnVes30v/y8wBIqkLFqtWs\n/PR9i/xJyovT6SSRSCx2McqeiFNpRJyKyZrGZf/tv6N5fciKCrZN33O/pWbDJoIHOnE3NKJ5vegV\nFUR6uvA0LgFJIhWaJHT8CJG+E/S/tIVQ1zEs01zsj7MoLuV6TxAEoVQiYSrg9/svucmvViZD8Ohh\nAru2kwoFyUQjGOEwtmWRGBlG0R3oFZVE+3qxTQtf+wpChw9SvW6wWxtBAAAgAElEQVQjvc8+DbaN\npCjo/gou+8v/jqyqi/2RyorD4SCVSi12McqeiFNpRJymc9XWseHLD2b3flNV0uEQgd078SxpIXj4\nIK6GRmRNR6+oJDbQi6+tHUmSMdMpgkcOkYlFGe/cl02cuo9fconTpVjvCYIgLJRImAr4/X4ikchi\nF+O8SU6MM7pjK9H+XjLRCKmJcSzbxrItkmOjSLKMXllFbHAQJHDW15McG8Xd2Mzwm3/EiMeRZAVZ\nVdnwpf+Gs7pmsT9S2REN3NKIOJVGxGlmtZs20377J5EkCUlRsptqZzJIikqsrxdHTS2SLKO6PcT6\ne6lYuRrV4wVson0nst99psnYzm30v/w84Z6uSyZxutTqPUEQhNOxKN0BwWCQf/zHf2T79u10dHTw\n8MMP09bWNuv54XCY733ve7zzzju0t7fz8MMP097eDkAkEuHb3/42siyTyWRIp9MoikI0GuXv//7v\n53zdU9XU1LBt27Yz/nzlzsykiXR3ER3sx0zEMRIJbNtGr6ggHQySiYQBCWdNLbHBfrAt9IoqME0y\nsRh2OER8ZGhqhSqZlZ/+LLWbNi/2xypLLpdLTKgugYhTaUScZrf8k58mdPwoE517wYahP7zEsk/c\nTaTrGJovguavIBMOIes6kZ4uKjpWk5oIkJwcJzU5jhGP4Vu6jEwsyuiOrYS7juNb0YGvuQVZ0xb7\n450zl0q9JwiCcCbOew9TV1cXa9as4dFHH6W9vZ3XX3+dNWvWsGvXrhnP7+3tZd26dfzoRz+ivb2d\nrVu3snbtWt555x0AdF3n3/7t33j66ac5ePAgJ06c4OjRo+i6jsPhWFDZGhsbGR0dxbbtM/6c5ci2\nLKJ9vQy//QahY0dITUyQicexbRtPc8tUshRB1h24m5YQHxnGMk1UjwdZ1wh1deFpaiawazsS2RXx\nmq57P21/cttif7SypSgKlmUtdjHKnohTaUScZicrChvvfwhHdQ2Skl05r/+531K5ei2xgX4UTZ3q\nVcruFRfuPoqzvgFPcwuuunqwbYJHDmFlMigOJ8nJcca2v0P/Ky8QPHIII31x9uxd7PWeIAjC2XDe\ne5juv/9+mpubeeWVV6ioqMCyLG699Va+9a1v8eyzz047/8EHH6SqqorXXnuNqqoqLMvi9ttv5xvf\n+AYvv/xyPin69re/zec///kzKltDQwOmaTI+Pk5tbe0ZvVa5SYyNEDxyiOTkBFYqRa5qVF0eXPUN\nBA8fAEDz+dArKgl3H8M2LRSHA91fQWDPTmo3babrV78AJGRVxbOklbWf/xKSJC3a57oQ1NXVLXYR\nBOGSoPsruOyBv2b7//g2MmAkEwy99hIN11xL8PAhai+/kqRpYiQTgETo6GGq1q7PDtdzujCSCZJj\nIyhOF+7mFoxYLLsgzr7dBI8ewrd8BRXtK1GdzsX+qGfNxVzvCYIgnC3nNWEaHx9ny5YtPPXUU/kd\nxmVZ5otf/CJ33XUXExMTVFdX58+PRCI888wzPPbYY1RVVeXP/9KXvsRtt93G0NAQXq+XVCqFaZo8\n/PDDdHV10dbWxle/+lWamxe2F1BDQwMAY2NjF03FkZqcYOJgJ8mxUUzj5PK5kizjbW4lk0oycWAv\nkq5jI6G5PUweOYhtA7KMo6qasZ3bqbvyXXQ/9QS2ZSGpKrLTyfr7HwJFwbZtkTTNofCanolt2xiG\ngWmamKaJZVn5n9xd38K7v5IkIcsyqqrmfxRFueD/BrlNNM8W27bzcSyMr2ma0+6my7KMoigoioKq\nqui6XrbxXMxy2baNaZpkMhksyyq6Xme6RhVFKYpt7jo9l5+hctUaVv3p5zn80x8jKQrxkWGCRw7h\naW0jsHsHSz54M8FDBzDTaQAmD3ZSs2ET6VgEJAnV4SKTiBE70YO7qRlbAiudxkgmmTzQSfjoEbyt\nS/EtW46zau5/22fKtu38UPPCWOcUxjkXa13XkeXSB49cjPWeIAjC2XZeE6Y33ngD27a58cYbi46v\nWrUKgJ6enqLG5VtvvYVhGLOe393dnW9kfeELX2DNmjVs3ryZX/3qVzz++OMcOnQIv99f9NxHHnmE\n7373u9PK9r3vfY81a9YAEI1GMU0TRVHO8BOfO6ZpkkgkSKVSpFIpkslkfn8WVVUhHCI10Et6YhxO\naRzqldW4GpuYGBkmNRFAlmWkjImruppI1zEsAEnC29jE+K4d1G7aTO/vf4uZSmWX7pVlVv75Vxg3\nLEa7uk5riJAsyzidTnRdR9M03G43DoejbBupOZZl5eOdTqfzjZkz3Rsnl/TkGj25n1zjsjAulmWR\nTqcxDCP/Yy5wgrqiKLhcLrxeL16vtyyu9VMba6ZpEovFiEajxOPxBX9GIB/HXGKZa1wWxvTUhNUw\nDDKZzIKHKGmahsfjwePx4HK5zllMc99/pyvXCI9Go0SjUZLJ5II+66mxLLxec3KN+8L/ztTgL5Wu\n6/nvC7fbjdPpnPO7ovXmPyHcfZyhP76CpKhMHuzEWVOLXlHJ4B9eZumHb2dsx3bMdBKA8f17qFqz\nHmdlFdH+PjSPF83tIR0JozidaB4vmVg0+9kyGUJdxwh1HcNRVUVF+0q8bUuze0HNwDCM/PdzIpEg\nkUhgGEbJn13TNHRdL4p17rPPFN9cMluKuro6vN7sMMVoNFpymQRBEC415zVhCgaDOBwOPB5P0fHc\nF3bslJ3Xc3tD5HqXZjo/14j63Oc+x49+9CMURSEQCLBixQp+9rOfcf/995dUtmg0mk+uwuEw4XCY\n0dHRBX7CLFmW0TRtWiM459QKLnf3cKHv4XK5cDgceL1e6urqkEyT2EAfoa4jpMMhdEAviLXm9eFf\n2o7m9zPZuQ/dSKP7/UiyjObzEe7uQtE0FEnC3dDI+J5dVK9Zx8jbr2cnSysqkiyx7s+/wpIz3JzW\nsqx80pFOpxkZGSGZTC74dXI9Aqc23k5NNAp7G3KN4tNJNHJ3cHONN6/Xi6ZpaJpW9sleIcMwSCQS\nRKNRRkdHF9SILbymCxvPwLTELtcbkUtCFkKWZTweD16vl/r6+rLuRcslIbFYjGAwyNDQ0IJiKklS\nUUwLe2bmuoYX0jgulLt2a2trcTqdC+qRON9ysU0kEqTTaUZHR0v6rvDd/BEiA32Ejx0FRWbw9Vdp\n+9BHScWidD3zFEtv+wQjW9/CnNrXanTfbrxL2/GuXMPE/j3Ypoltgx2PI6dSuOobiY+OYGbS+feI\nRqOM9/WhOBw4mltQ6xowVa3ob6IoCk6nE03TyvJaLqz3BEEQhJmd14SppqaGVCpFIpHA5XLlj09O\nTgLTE6Nc71EoFCr6XeH5q1ev5ic/+Qmf/exn83d0a2trueaaa9i3b1/JZQsGg0UVR1VV1bTylKqw\nkTjTXVVVVXE4HEVDKNTT3L/ISCbJhEMEu44SG+zHmGFTS83lwtfegbd1KfHBfka3voU9VR5Z01B0\nB6FjR8huZJJNlib278XbtozJQ53EBvqQFAVJllj+iU+x5IYbOXbsGB0dHadVZsg2ht1uN263+7Rf\nIzc8yDCMooZkrmFZeNc81xDNNULP51C20dFR6uvrz+l7LJSqqvh8Pnw+34Kel4t5YaM99/jUXgpN\n03A4HPmEUlXVsmkknm2SJKHrOrqun9b3xqmJ0ExD3Qqv4dy1q2laWfQOnkuFsV2oxr/+JtseeZjE\n2Cg2En1bfsfyT97N5JHD9P7uaZZ+7E7Gtr9NemofouiJbqxkgsbrbiC4bw+ZSDi7wI0sYQcnqVvR\nge73E+7uwkjEi99sbAQ7MIq7phbf0na8S1oviNX1RMIkCIIwv/OaMLW0tABw/PhxNmzYkD++d+9e\nXC5XfkjcTOdfddVVRedrmsaGDRtwOp0zLvaQTCZn3K/kkUce4ZFHHpmxfEeOHAGm93QtVO4O/Llg\n2zZGPEYmGiUVCpIYGyEZGMOaYYiHw1+Bf8VKvC1tWOk0ozveITkeyP9edjiQkAh3HwdJQpJlXHUN\njO/bg6epmdhAH8Ejh6aSJZnG91zP8jvuBjit4VFnmyRJ+cSnnE1OTpZdwnS6cjE/FwKBwCU7h6Jw\n6OB8q3tallXWPULlxFA1rvja37DtkYenhtTJ9PzXb1hxx6eYONDJwLNP0/Gpexnd9g6JsREAMhPj\nBF57hdabPpRfLCcnNtBHasJN3eZ3YZsmoa6jJMdGi+YaJgJjJAJjjO/bjae5BW9LK666BqQy/Zvl\nblqdab0nCIJwMTuv3+AbN26kubmZJ554In/Mtm1++ctf8q53vWtaQ2zVqlW0t7fPeP4VV1yB0+nE\nsqxpQ+d6e3vZtm0bN9xww4LKl7vTVm6b+JmZNKnJCaJ9vQSPHSF45CDj+3czvm838eGhomRJUmTc\nDY00vvd9tN78J/iXLSdyopu+l54rSpY0b3YoXrS/FyQJZBlXfSPj+3bjqm8gGRhjfO+ufLJUvf4y\n1n3h/ou2h0BYfOPj44tdhAvC0aNHF7sIF4z+/n48Tc1s+quvI8nZ7zLbNOj53dNUrV2PmUxy/InH\naXzPdfiXLc8/LxON0PPMb1Bdbprf90FU18mecCMRZ/jN10iMDNH0nutpfv9N+Ns7UE9JdM10mnBP\nF0Ov/4ETv3+GsV3bSQTGym757nKt9wRBEMrJeb01L8sy999/P3/3d39HZWUl733ve/mXf/kXtmzZ\nwq9+9av8eZ2dnaxbtw5JknjggQf4xje+QU1NDe9///v54Q9/yNNPP81jjz0GwPPPP88dd9zB448/\nzk033cS+ffv44he/SEVFBXfccceCypcbnrTYFYeZSpGJxzCmfmzbxkylSIeCJCfGsU6ZCyIpMqrD\nhbuxGf/yFTgqKgGydzn37CQVChad721pJTYwQHx0eOr5Cu7GZib27cZZV48RizG2c1s+WfIv72DT\nX30dRVv4kBhBEITFVrV2Peu/8AD7//f/jSTLGPEYfc//jtabP8zkoU6O/uJnrPz0fegVlQT27ATA\nMgz6XnyOuiuuYskHb2bywP5sb/yUcE8XibFR6ja/i/rNV2Fu3ERscIBobw+JwGh+2LMNGMk4oa5j\nhLu70DwevC1teFrbcPgrFiMcRcql3hMEQShn530s09e+9jV0Xefb3/428XicpqYmfvKTn+STm5de\neombbrqJ73//+zz44IM8+OCDKIrCt771Lb7+9a/T0NDAv/7rv/KZz3wGgJtvvpnPfe5z3HXXXfmV\nh6644gqee+65aSvkzSc3ryoej89z5tljmSZmIoGRiGMkE5iJBJZpIClKNnEKh0lOTmCmiic5K6qG\nrOtoHi/e1jbcTUvye4Nk4jEm9u/N9h4VkHUdX9syAnt2Ykx9RlnXcdXWMb5nJ46aWqxkkpG3X88n\nS962ZWz+2t+gFsw5EwRBuNA0XXcDifExjj/xOJIskw6H6Hvx97Te/CdMHuzk6M8fZeU9n8VZU8vg\nH17Cmhp2PLZrO4mxEVpu/BDellbGdmwjE88OX8vEogz+8RV8bcuo2Xg5/qXL8C9dRioSItrXS3xw\ngHQ4VDBkzyIdjTBxqJPJIwfRPF7cjc14W1pxVFUvSg/+YtR7giAIFxrJXqTxAfF4nPHxcRobG9EK\nJsbGYjG+8pWv8A//8A9F+yglEgkCgQANDQ0zTv7t6+ujs7OTpqYmLrvsstOueFwuFw888ADf+973\nTuv5c7EtCzOVyiZHiThmInFyxSVJQpIVjGScTDhMKjiJWTAHS5Ll7AINmgNZ13DW1OJpasZZU5cf\nG29lMgSPHSZ45BD2KXOMvK1tYNkE9uzMV96Ky4XD62fiwD6c9Q0Y0Qgj77yZT5bcjc1c9Z3/ke+x\nKnT48GFWr1591mN0MRKxKo2IU2lEnEp3aqxs2+bYL/+Tnmd+k31sWWg+P223fpTJg53ImkbHXfeg\nerz0bfldPjGC7Ka4bbd+BN3nZ3zfbsI9XUXvpegOqtdvxLds+cmVDS2LVHCSaH8f8eFB0pGZF1aQ\nANXtwd3YjLt5Ce76hvOaPJ3Lek8QBOFisGiz5WdbIc3j8fDoo49OO+5yuWhtbZ319VpbW+f8/ULK\nlZhhpbmFsi0r22OUTGImExjJJFYqhU3B5o6Kgk12vHwmHCYTCefvakqKjOJwIGs6sqajqAqqy42r\nvgFXfWNRj49lGER6upg8dAAzXbzQhebxUrVmLeN79xAd7M8fV90edJ+fif17cDY0kgkFGd32NtLU\n0uHuxmau/OZ3Z0yWBEEQLkSSJNFx959i2zYnfvcUkiyTiYQ58ezTLP3IxwkeOsDRn/+Utg99lOWf\n/DT9Lz5HbGgAgHQ4RNevf0nzDR+kbvO78DS3ENi9I59UmekUY7u2E+7uovbyzTira5BkGWd1Dc7q\nGqy160mMjxMb6CM+Mli0oqlNdmRAqOsooa6jKA4Hrrp63PVNuJuaUJ3ntof/bNV7giAIF6vyXl5s\nEXi93gVv4GeZJmYyke89stJpzGSyKDkCpnqCZIxYFCMWJR0OYSSTSICsaii6jqpqSKqGomZX2VNd\nbpy1dbjqGtCm9p8qfN9ITxfBwwcwTtmXRFZVKtdtxEwk6Hvp+aJ5T+6GRmzbZqJzL54lrcRHhgjs\n2o40teyzp7mFzd94ZM5d7BVFwTCMsl+hrhyIWJVGxKk0Ik6lmylWkiSx8tP3ISsK3f/1q/ycpu7f\n/JJlt3+SSE83J37/WxKjI7R96KOMvPMmEweyW1RYpkn/yy8Q6++n8dr30XLTh5g8dIDQ0cPYdnbO\nUio4wcCrL+JtaaNm46b8ghGypuFpbMTT2IiZSZMcHyc+PEBieJh0rLjOMVMpov19RPv7kGQFR1UV\nroZG3HUNaB4vyjwb9y7U6dR7giAIlxJR457C4/HMWnHYtp3vMTLTacx0CjOZxDJm2ZBTkpFkMOLJ\nbIIUCWHE40iyjKSqyJqOo9KV3xA2R/P5cdbU4qypRfN4p72slckQ7jlO6OgRjOSpdwUl/O3L8ba0\nMfL2G0W9SgCVq9cSPn6M+PAg3rZlhI8dYfLQAWRVBUnCs6S1pJ4lXddJp9Oi0VYCEavSiDiVRsSp\ndLPFSpIkVtz1GWSHIz+nyTJMjv/qFyz98O2kg0FGd2wlMTbK8js+hau+gaHXX82vSDp55CCx4UFa\nPnAzNRsuw9e2lMDunSQCJ1dsjfb3Ehvsp2r1OipWrUEu2GpC0XQ8jU14GpuwTJNkcIL44ACJ4SFS\n4VBRWW3LJDkeIDkeICgfQPP5cfgrcNbWobo9qE4nitOF4nCcdhI1V70nCIIgLOIcpnK1adMmli1b\nxlNPPZVNjJJJjFySNEOvURFZRpJkzFSSTCxKJhLBSGQTJFnVkFU1myidsh+HrGo4ampxVFXjqKxC\nmWWDxkw8RrjrOOGuYzMmad6WNipXryF05DCBPTvzw/sAVKeTyjXrGX7jDxiJBP7lHdlx+F3HkBUV\nJPAtbWfz1/8GvYSVm/r7+6msrMTrnZ7QCcVErEoj4lQaEafSlRKrwdde4cCPf4BtmWDbWKZJ43uu\nQ6+oIjbQh+7z0/6Ju1Bdbvpf2kIqOJl/riRJ1F15NXVXXDW1TUMf4/t2T9vUVnN7qN6wCc+SlnmT\nmnQ4TGx4kMTIEMnxcSxz+h57+df1eNErK9F9vuzwbVlBcTiRHQ4UhwNFdyDrelGyNpNcvff000/P\neZ4gCMKlStyiPEXujiS2PW1S76kkWcn3OhmJGEYigZVKgiQjqyqypuF0VM30RPSKinyCpHl9s1ai\ntm2TGB0h3H2c2OAAzJCweZe0Url2PYmRYXp++9TUBo0n+Zd3IKsa/S89hyQrVK3byMDLz5MYG832\nLAFVazdw+VcfLtpvZC6KopTF5rUXAhGr0og4lUbEqXSlxKr5fR/AUV3D3v/1PYx4DFlVGX7rdfzt\nK6jdfDWhI4c4/LOf0HTtDbR/7E5Gt77JxMFOIPv9PLr9HaJ9J1jy/pvwtrTibmwiNLVfXq5HKhOP\nMbL1TRyVVVSvvwx3Q+Os5dH9fnS/n6pVazAzaWLDQySGh0iMjWCl00U3wjKxKJlYlBigulw4KqpQ\nfT4UpxMKzpNkBUXXkXV96r+O7H81HVlVT9Z7giAIwoxED9Mp3vve9+J2u3nhhReYPNR58hdTm7va\n6QxmKoGVOTlvSVKVacPqikloPh+OyqpsguSvmPeOXyYWJdp7gkhvz7QEKFscGW9rG5Wr15KJRhl5\n5w3iI8NF5ygOJ/VXXcPYrm1Ee0+gejx4mpZw4ndPYRlGfnW92k2buezBr83aszWT0dFRVFWlunr2\neU5ClohVaUScSiPiVLqFxCra38fu/+t/khgdAcA2TVSPl6Ufvp1w13HMVBJP0xLaP34n6XCIwdde\nLlq4QVYU6q+6huqNlyMrCkYiwfi+3dO2dwBw1dZTtW4Drtq6kj+LZRikgpMkxkaIDw9jppJYmQyW\nmcE2raJzZU3DUVmJ5qtAc3uy86tmrOolqteuz9d7L774YsnlEQRBuJSIhOkU119/Paqq8sorrzB5\n5ACWYWKn02SSCcx4AmRp2pC6maguN3plVb4XSS5hvoGZThMb7CfW35ffVPZUiu7At2w5FSs6SIdC\njO3cSqRveoVcs+kKJFlm8NWXsTJpXI1N2Ok0A6++mF/cAWDJ+29izf/xhZLKVygQCCBJEjU1NQt6\n3qVIxKo0Ik6lEXEq3UJjlYlG2feD7zO+N7t5rW3Z2LZFywduRlJU4sODyJpOywdvpnLtegZfeZHo\nQF/Razira2i67v14mrLbYiQCY0we2EciMDbt/Vy19VStXY+rrn5Bn8u27exG5uMBkoExMok4tmlg\nGya2aWCZJpZpYJsWsqKgV1Si+ytQPd7sGubWyQSreu2GonpPEARBmE4kTKe44YYbkCSJV199lf5X\nX0KetdeogCSjeb3o/op8xVRqb42RTBIfHvz/27vzKCnLO9Hj37f2fe29gQZEWRQUNEZlgnE0IuIY\nr8YlN2pyznijdyYzSvQaZ4aY0ZxxYs5kmZlMJvFkZhgSE4wLajKKgCuowQVkadm7m4beu6uqa9/f\n+0fxvlbT3VCooSrx9zmnDlBVVD/14+V9nt+zkug5TGpwUN9p6Vi2QBDPjNNwTplGemiQwXe3ED9y\neNz7nK1TqFuwkN5XXyLW3YViMOI9fTbD773D6IF9+nolg8nM7Fv/nNZLPvehFgpLo61yEqvKSJwq\nI3Gq3IeJlVos0rH213Ss/fXRJ0q747mnz6Dx/Av1c+6crVNoW3Y16dAI/W9uGrMTKYB35iwazr9Q\n30An0ddD+P1dZEYj437mh02cNNlYlPTwEOnQCPmyGQlqsbQmSy0efRSKmOx2zC4PJocdg9mM/4y5\nY+o9IYQQ48kapmMUi0V9R6XJkiWjzY7F7cHscmN2uzG7PSecYlcun06T7OshfvjQhL2O+s+xWnFN\nbcPdNgOL20O0q4Ou3zw1buodgNXnp+GCi4h1dLDvl/+NWiiUpgAG6uj6zVMUc1l9FMnqD7Dgr/8f\nvtPl8EshhCinGAycdt1NeGbOov2n/0ouHsNgMhLv7iLZ28OUzy0jn0qS6DnC7v/4dxovWMxp197E\nwO82Ez3UqX/OaMcBop0H8c89i/pF5+FsbsXR1EL8SDeR3e1k4zH9vanhQVKbBrHX1eM9fQ6OpuaT\n6siyuD1Y3B48M04jn0od3VVviOzoKEaDwrFVfSGVIJ+IYzCb4Yy5Y+o9IYQQ48kd8hiFQgGr1Tpm\npMfkcJZGjrw+rF4fRqv1pD5TVVUyoRGS/b0kB/rH7LJ0LMVoxNnUgnPKVJzNreTTKcK72wnvbp9w\nLZPV66Ph/IvIxUbpeuZJcrEYisGA94zZRA/sp3fTyxiMRn29kn/Omcz/2tex+ibYjOIkFItFzGbz\nR/qMTwqJVWUkTpWROFXuo8SqfuF5XPCPP6D9p/9KaNd2FIMBtZDn0P88jWfmLBrO+zTRjgP0v7mZ\n0Pu7aL34UvxnLaDvtZfJxqJA6d4fen8nkb3vEzhzAcEF5+Ce2oZryjQSPUcIv7/zmMRpiNTwEGan\nC8+M03BNm47JZjupcpvsdlxTpuKaMrV03tNwaUvybCRc2gnwKMWg6H/W6j0hhBATk4TpGPohhyoE\n5p+Dxe056fU9AIVcltTgAMm+XpL9fRSymUnfazCZcDQ245wyFUdjM4rRSKLnCEc2riPa1cFEsyat\nPj8N510ACvS+slE/jd7e1IzRYqH7ud9QyKT1sitGE7Ou/9+0XXm1njx9FFLBVk5iVRmJU2UkTpX7\nqLGy+QMsuvebHF7/HPsf+4U+Uh/r6iDW2UHzZy7B2TqVaOdBOp99EkdTM82fuYRiLsfg229SyJTu\n+8VCgeEd2xjZtR3fGXOoW7AQ15SpOFunlBKn3bv0JAtKm/6M7NpOqH0nzpZW3G0zsDc2nfT0aaPZ\ngrO5BWdzC8VC4ei6p6HSduXZjP55chCyEEIcn9whj5HJZLBarSgGAzZ/5btQFfN50qERUoMDpAYH\nyI5GJl2PBKU1RI6mZlxT20pbzCoKqaFBBt56g2jHwQlHk6C0hXjwnEUUs1n6Nr2sr2MyOZ24p01n\nYMvrxLoPYTB8MKrkbJ3KWf/3TjzTZ55EJI6vUChgPIlpiJ9kEqvKSJwqI3Gq3McRK8VgYNoVVxGY\nfzbv/+zHjO7fW7q3qtC76SUsbg/Nf/JZAOKHD3Hw8V/injadls9cQjYWZWjr2/r6JrVYJLznfcJ7\n3sfTNoPggnNwtk4pJU69Rxjdv5d0aET/2apaJN5zmHjPYUw2O66p03C2TsUWOPn1awajEVsgWPq7\np5c2uEiHQ8AH9Z4QQoiJScJ0jHQ6ja2CKRCFTIZMOEQ6NExqaJBMKHTcBAnA4vHiaGrB0diELVgH\nikJ6eJChrW8zemDfhIuBobQznu+M2QTOXECyv48jG9eR6DkCgMFixTPzNKIdBzj4+C/BYNDXUylG\nE9OXf54Z/+t6jObKtwyvhPRIVk5iVRmJU2UkTpX7OGPlaihDvWIAACAASURBVJ3Kp775D/S++hL7\n16wml4hjMBrJJeIceu4ZbHX1NF34GYq5HLHuLmLdXTibW2n41AVQVBl69y0KuQ/OOooe6iR6qBOb\nP4B/7ll4T5+Nq3UqmXCIaFcH8cOH9HOcAPLpFJH9e4ns34vJ7iiNULVMwRoIfqiNe8wuF+ajB/pW\nWu8JIcQnldS6x0gmkzgc4w9v1eeCDw+SGhyYNLkppxgM2OsacDS34GhuKZ2HUSweHUl6k2jHfrKx\n2KR/39HQhH/eWThbpxDZ3c7+X63Wex8NJjOembNI9vfQ+dSvUVUVpawn1T/3LOZ8+f/gmjL1Q0Th\nxHK5nKyjqJDEqjISp8pInCr3ccdKMRhoveQy6s/9FPvX/JzeTS+jAIrJRCYUous3T+FobKLhUxcC\nEOs+ROLZp7C4PdSdez5Wn49Q+04yR0d2ANLhEH1vvMbAltfxzDgN35x51J1zLsGzzibec5hYV8eY\nUSeAfCr5QfJks+FoasHe2IS9ofFDdY5NVu8JIYQokYTpGFrFoRYKxI90kw6NlBbMRkcr+NsKNn8A\ne0MDtvpGbIEgBpOpdAjt4W7ihw8RP9x93PVMVn8A36wz8MycRS4RZ3jbu3Q+84Q+pcNoteJum0lq\nqL+0+10+j2JQ9B5Gq8/P6TfdStPiJR+q17FSxWJRpgVVSGJVGYlTZSROlft9xcri8XLmV79G27Kr\n2f/rXzC87Z3SfdhgIjU0SNdv12LxeGn89EWYXS6inR30vrIRRVHwnjGH+kWfIj0yTKxsV71ioUDk\nwD4iB/Yd3fRhJp4Zp9Gy5E/JJRIkjnQTP9I9Zq0TlHZdjXZ1EO3qABRsgQD2hkbsDU3YAsGK1qxK\nwiSEEMcnCdMxstksFouFbCzK4LtvHfe9isGA1evHGgxir2/EXlePwWymWCiQHhlmZMc2ol2dpIYG\njvs5Vp8f99Q2fLPnoBhNRPbt4cDjv9RPnNfeY29sJt7dSeezT6IWCkcr6FJSZLI7aLvqGtqu+LOT\n3sVPCCHEyXNNncbCu/+WyP49HHxiDaH2HSgGA4rBQC4e5/CG5zHZ7TSevxh7QwOJ3h4ie3cT2bsb\nayBIYN5ZmGwOIgf2kivbLa+06cMORnbtwGSz4ZlxGu62GbQs+VMKuSyJw93Eew5P0JGnljr5QiOE\n97yPwWTC6g9i9QewBQJY/UFMdvu476HVe0IIISYmCdMxtMWvanH8eiRFMWDVeu+OjiApBgPFXI7k\nQD/D27eWdsUb6KNYKEzw6R+w+gN4Z5yG9/TZKAYD4T3v0/Xbp8ccRquYTLintqEC4fd30bv5lVJl\nrHyQKBktVqZefiVty6/B4nZ/rLEQQghxYr7T53Du3/w94d3tHHr+WYa2vq2POBWzWXpeexFUFf+c\nefjmzKOQyZLoOUzf5ldBAfe0GfjnzKNYKBLrOjjmENx8Ok1odzuh3e0oioK9vhFn6xT8c8/E7PaS\nGhog1ddLanhwXL1VzOdLr5d12hmtVmyBOqyBILZgHfa6etn0QQghTkASpjL5fJ5cLleakpfPY7RY\nsQXrsAVLlYvVHyj1HMaiJPp6Ce3aXtrwIRyacOvvckaLFVfrFJzT2nBNnU4+HiO8excHfv0oqaHB\nsncq2BsasPoDJPt6OfLyevKJBErZZg4ARquNKZcupe3Kqz/ymUpCCCE+Ov/cM/HPPZN4z2EO/c8z\n9G1+FbVY0O/dkX17CO95H1uwjuCChVj9QQrpFPHD3cQOdWIwW3C3TT+6KZCB9MhQab3s0URIVVWS\ng/0kB/sZ2vYOBrMZZ3MrzuYW3DNmYjCbSY8Mk+ztmXSdbSGTIdHXQ6KvB3t9A+YLP6PXe0IIISYm\nCVOZRCIBgNPpxBoIMP2qayjmcqUKqK+H4ffeJdnfN+mW38ey+vy4pk7Dc9rpmGx24t1dRPfv48j6\n58fOQ1cMOJqasbg9ZCIhwnveJ9F7pGw06YM56NZAkGlLl9N68WX6DkdCCCFqh6t1Kmd+9WvMvPZG\nDm94nr5Nr5CNRvTpeplImJ5XNkKxiMXrI3j2IhwNDeRTaWLdhxg9sA8As9uDa8pUTA4nhWyGfCJe\n2ijoaAdd+Y58cHSjofqG0rl+rVPBYAC1SHY0QnJwgGI2O6acisk0pt4TQggxMUmYyoRCpZ2L/H4/\n6ZER+ja/Qnpk+ISjRwCKomCrq8fR3IJryjQsHi+pgX6iXR10Pv0E6eGhMe83OZw4WlpAhUw4xPDW\nt0mNDKEoBhSDMmY0CSA4/xymXLqUuoXnjXtNCCFE7bHX1XPGF29l1he+yOA7Wzi84Xki+3aXOsKM\nRjAaycXj9G16BdQiFo8X7+mz8UyfiWIqbSAR3v0+oIJaxOoPYm9swmi1oRYLFNJpsvEY6tHtx9Vi\nkeRAP8mBfr0MiqJg8fqweH1Y/QHMTieKYqCQzWByOMfUe0IIISYmCVMZreKoq6sjOdhP6pgkp5zJ\nbsfRMgVX6xSsvgBqPk96ZIj4kcOEdm4nNTwIZXmW0WrF3tiMyWYjl0gQ7+6i+3/eoZjLwtGRpGMT\nIXt9Ay0XX0rz4iXY6xt/L99ZCCHE75fBbKbpwj+h6cI/IXaok743NjH41hukhgaPrnUyglo602lo\n2zsMvfsWBrMZ17TpuKdOx+L1ophNpIeHiezdA6ioxSImpxObP4DJH0AxGlGMBvLJFPlkAvXoOlpV\nVclEwmQi4bFlMhqpP+/TY+o9IYQQE5OEqUw0Wpom5/F4xkxdUBQFa7AO95RpWAJBKBTIRMIkB/ro\n2/wq6aHBcaNQZpcbe30DitFELh4jNdhP76svkovHP9gGXOtlLGOra6Dh3PNpOO/T+GbPrWhLWCGE\nEH8Y3G0zcLfN4PSbbiHZ10P/m5vpe/1VUoMDpRkGAEYjqqoS6+wg2nEAVBXFYCglUG0zsHi9GK1W\n8qk0qcEBCr09pYPTiypmjxeLx4PJ4cRgNmMwmSlmM+SSiTH1WrFQQC0UiEZLU/I8Hk91AiKEEH8A\nJGEqMzpa2qLV6/Vi9XlovGAxaj5PNhYjPTzI4DtbxvXSKUYT1kAQi8+PwWikkEmTi8VJDvQytPUt\nCpkMimKAo0mSwXTMdDpFwd02g+CChTSefyHuthm/1/OThBBCVJ+iKDhbpnDadTcx89obSfb3Emrf\nydDWtwnt2gHFAhgVFEqdZqqqEu8+VDq76WgHncXrw902A3tTE2aHC4PZRD6ZIjU8SCHVi6oWUQsF\nzC4XFq8fi8dbWkdlMoFBwex0MXq4FyjVe0IIISYmCVOZcLiUDPn9fsLv72R429v6a0arFYvXh3fW\nGaAoFDJp8skk2egoowf2lbYSz+ZKo0aGo6NHioLBND7EFq+fwJnzqTt7IcEFC7G4pWdPCCE+qRRF\nObrbXStTL7uCXDxOeE87kf17iezbTfTggQkTqFw8xsiu7bDzvTFJlGtaG47GZkxOF0aLmUImSyYc\nKp3tVyyiFosoBgPBefPH1HtCCCEmJglTmXi8tPudy+Ui5/PhOW0WhUyGfDJJJhwi1L6T1GB/aW64\n8kFSpCdH5onD6WhqwXfGHLyzZuOfeyaOpmYZRRJCCDEhs8tFw3mfpuG8TwOQT6WI7NtNeHc7ox37\niXYcpJBOleqesr+nJVGh9p2lUaqjSZTR7sDZ0oqzqQWz14fJZgeDobR7a1m9J4QQYmKSMJVJpVIA\n2O12Dr32EsPb3im9cExyZDCbJ/0Ms8uNe9p0nFOm4Tt9Nv4587D6A6ei+EIIIf4Imex26s5eRN3Z\ni4DSbniJ3h5GD+5jdP9eoh0HSfQeoZjPTZhEFbMZYp0H9fVQmsDceWPqPSGEEBOrSsLU29vLAw88\nwDvvvMOsWbO4//77OfPMMyd9/8DAAA888ABbtmxhxowZfPOb3+Tss8/WX1dVleeee47vf//7RKNR\nrr32Wu68886TPohvdHQUo9GIw+GgmM1iMJlhkoEgq8+Ps3Uq9sYmHA1NuKZMxTW1DWsgKKNHQggh\nfm8Ug6FU50yZSuvFlwJQzOdJ9B4h2nmQaMdBop0HiB/pLm30cLRO0msmtVRvGi3WMfWeEEKIiZ3y\nhKm9vZ2LLrqIpqYmrrvuOl5//XXOOeccXnnlFRYvXjzu/fv27eOCCy4gEAhwww03sGXLFhYtWsTG\njRu55JJLALjvvvv47ne/y4033sjChQv53ve+x7PPPsvmzZsxnsSZRbFYDLfbjaIo5NMpFKMBe0MT\n9oYmHE1NOJtacLRMwT2tDYtHFsgKIYSoDQaTCfe06binTdeTKLVYJDU4QKy7i/iRbmJdHcQPHypt\nZ64oGO32MfWeEEKIiSlqJaeyfow++9nPks/n2bhxIzabDVVVueaaa4jFYrz00kvj3n/FFVcQCoV4\n5ZVX9B6wG264gSNHjvDGG2+wY8cOzj77bFatWsWXv/xlADo6OjjjjDP49a9/zbXXXltx2b785S/z\n2muv0dnZSXKwH1ugbsJNGz7ptEtGKtgTKxaLZLNZbDZbtYtS03K5HN3d3Zx22mnVLkpNkzhVTmI1\nuUI2S3pkCFuwnm/87d/y1ltv8dprr1W7WEIIUbNOacI0MDBAU1MT69atY+nSpfrzzzzzDNdccw1D\nQ0NjDs8Lh8PU1dXx1FNP8fnPf15//oUXXuCKK67g8OHDPPLII6xZs4a9e/eOacB/7nOfIxgMsmbN\nmpMqY6FQOKlRqVqiqiqjo6OMjIwwOjpKIpFgdHSUcDjMyMgIsViMTCZDNpslm82Sy+VIJpMkEglS\nqRTZbJZ8Pk/h6IGHGkVRMBqNmEwmLBYLZrMZk8mE2WzGbDbjcDgIBAJ4PB7cbjderxen04nP58Pr\n9WKz2bDZbDidTrxeL+bjrAH7Q5bP54lEIsTjcRKJBNFoVI9tKpUinU4Tj8eJxWIkk0n9kc1myWQy\npNNpcrkc+XxefxSLRYrF4rgkVYt7eWytVitmsxmXy4XX68Xr9eLxePB4PPrvGxoa8Hq9NZfs5nI5\nisUiVqv1uO+LxWKEQiESiYT+SCaTxGIxYrGYHl/t91pM0+k0mUyGXC5HNpsdc40riqJf2xaLBbvd\njtvt1h/l8fP5fPh8Pv33fr//lF7P0WiUZDJJU1PTx/q5mUyG3t5ewuEwoVCIgYEB/fpNp9P6tZrJ\nZPRrWrtWtV/LY2owGDCbzVgsFj22VqsVk8mE3W7H5XLhdDr161eLpRbvYDBIU1PTCa+HE32nTCZT\ns+cLqapKNpvVr+GhoSH6+voYGhpieHiYoaEhRkdHiUajxONx/f6cz+f1+0F5nLVfXS6Xfi/WrleH\nw4HL5SIQCOjPNTY2YpBz/oQQoiKndPjkjTfeAGDJkiVjnp85cyYAXV1dYxKm3/3udxSLRS6++OJJ\n3//666+zZMmScQ3AmTNnsn379nFl+Pu//3seeOCBcc8Xi0Xuuusudu3ahd1ux+fzEQgE9ARAq+T9\nfr/eeAoEAgQCAZxOJ6aPaSSqWCySSqWIxWJ64ygajeqV5sDAAAMDA/T39zMyMqK/Fg6H6evrI51O\nH/fzFUXRG4Za49DpdGK327FarRiNRoxGI8rRTS5UVaVQKJDJZMjn83qipTWUtKQrEolQLBYr+o5a\nAykYDOoNp0AgQF1dnd4QbWhoIBgM4nQ69Qar1lC12+0fe4M/m80yNDREKBTSG9sjIyOMjIzoDe94\nPE44HCYajTI6OkosFtMb7fF4nOHh4YpjAKVF1na7XW9M2mw2PRnVHgaDQX/A0QXcR6+RgYEBPRFL\nJpN6cpAtO5xyIhaLhYaGBurr62loaKC5uZnGxkYaGxtxOBz4fD7q6urw+/3U1dXh8/lwuVwfW+NK\nVVUymYyerGsNRi3Z7+vro7+/X/+1v7+fUCik/1tUwmq14nK5sNvtmEwmbDabnlBaLBb9GodSJ0k6\nndY7EtLptP7/T1sQfzxaY9TtdusxDQaDBAIBHA4H9fX11NXV6de61+vF7/frDdeTiauWAE8U02w2\nSzKZJB6PE41GGRoaIhwO63/WvpPWiaI1zgcHBxkaGjruz9XWuFitVv1+Ud5xYjKZMBqNGAwGisUi\n+XyeRCKhN/K1ToF8Pk8qlSKRSJDJZE74fbV/x/KEKhAI0NjYqN+Dg8HgmHu2Fmct+fq4qao6pgNk\naGhIvzZTqRShUIhwOKwnmaOjo3oH1sjICKFQiFQqxejo6HFjYDab8fl8uN1uXC6Xnnxq9wVAT7i0\n+3I2m9X/vROJxHG/h8lkwufzYTabWbx4MY8//vjHGichhPhjckoTpng8rjfSy2lT7Y5t7GuNo2Mr\nvfL3x+NxfD7fuJ/lcDhOmDxobDab3nhKp9NEIhHa29uJRCLEYrFxIy4TMZvNWK1WLBYLDodD7/3X\nelXLGxOFQkGv3HK5nN7g1hq9J2I0GmloaKChoQG3201zczNz586lqamJ5uZm6urq9FEer9dLIBDA\n7/fj8XgwmUy/l9GFYrGo9/RHIhESiQSRSITR0VHS6TTpdFof8dJGCUKhkD4as3PnTkKhENFo9IQN\nKaPRiNPp1K8lrVGsjXgZDAY98dMaFoVCgUKhoDfetDJpDYxKGuJaMqGN3rjdbhobG/XGmfZv4nQ6\n9ee0xqX20BrWNpvt99a7m8vliEajRCIRvaGsNdoGBgYYHBxkcHCQ4eFh+vr62LVrF4ODg+RyuUk/\nU1EUPVkt79HWrnEtATEYDCiKoo+MZbNZUqmU3pDXRidONLBtMBhoaGigpaWF5uZm5s+fTyAQoKWl\nhWAwiMPh0OPscDj0HnWXy4XL5frYRn0KhcKYBDkSiehxjUQihMNh/T4Ri8UYHBzk0KFDvPPOO0Qi\nEZLJ5HE/X4ur0+nU46rdR8oTEa0s2jWsjZ6kUil9VLOSyQImk0nvfGhsbGT27NksXryY1tZWWltb\n9US5sbERr9er38fMZvPHft/I5/P6/8PyuEajUYaHh/VRLq2jQkv+2tvbeeWVV4hGo8e9ZjV2u13/\nHi6XS/8+2r1Cu2YBfTS3WCzqHULaCKX2iMViFf1crS7QOoGcTifNzc2cddZZ2O12/T6iXcfa9V1f\nX099fT0ej+cjxbxYLOqdaVrnhDb7YGRkhCNHjjA6Oko+n2fWrFmoqlpzI89CCFErTmnCVFdXp/eC\nlu/IEwqFAAgGg+PeDxCJRAgEAhO+PxgM6gfvlQuFQuM+bzIejwdVVfnhD384rsJQVZVkMkkqldIr\nbm2axPDwMOFwWO8h16a7aT2L2jQgbbqKqqqYTKYxPd3aFCqtN1xrAGrTgbQRFo/Hg8vlor6+nmCw\nujvx1dfX6wlKd3c3UGrgat+jubn5I31+MplkcHBQj63W2C9PALQpKlpPb3njRktKtZgD+qiCNj1I\nmwqkTWEJBAL6SIDW8Pb7/dTX1+tThz5MgvPNb35TL+OPfvSjjxSXSpnNZv3/RqW0xlUikdCnZWkj\nbOXx16Ziacm+do1rsdYeWi+4NjpbPg3L4XDo17r2Z+06DwaDeuJZC9OFjEYjfr//Qx/qWSwWGR4e\n1kcgyqfJRiIRQqGQ3sFQ3jgvH8nVRi3Lr2Gr1YrVatWTeC0R0O4dWiy1ERctofx9jM5+WCaTSb9n\nlM8sqJSqqnpCkEqlxiSvWieUdq8uv4eX3y+0xL68TFriryVVWseA9tBGvLUErK6ujvr6ev0ero10\nfVyzDj4sg8Ggj2Iej5YoFYvFmrk2hBCi1pzSNUzt7e2cddZZbN26lYULF+rPP/LII9x9991EIpEx\n64cOHjzIrFmzeOONN7jwwgv151evXs1Xv/pVotEof/3Xf83OnTt5/fXXx/ysBQsWsGzZMh5++OGK\ny6coClarFb/fT19f30f4pn/cyivVU7xnyB8ciVVlfvCDH+jTGv/5n/+52sWpWVoSlclkTtgQ/qRb\nu3atntycd9551S5OzdLWqNpstoqnvAohxCfNKU2YVFVl5syZ3HDDDXoiUywWueSSSzCbzWzcuHHc\n++fOncvSpUv1RlSxWOSKK64gmUyyefNmfvOb3/D5z3+ezs5O2traANi2bRuLFi1i7dq1XHPNNRWX\nTxq3lZE4VU5iVRmJU2UkTpWTWFVG4iSEECd2SucMKIrCXXfdxT333IPZbOaiiy7ixz/+Ma+99hrr\n1q0DSjfsDRs2cOmll2I0GlmxYgV/+Zd/ic1m47Of/SyPPPIIGzZs4JlnngFg6dKlzJkzh8svv5wH\nH3yQVCrF3Xffzbx581i+fPmp/HpCCCGEEEKIPzKn/BwmVVVZtWoV9957L8PDw8yePZvvfOc7+kjQ\n888/z5VXXsnDDz/Mvffei6qqPProo9x9990MDg4ya9YsHnroIa6//nr9MwcGBlixYgVr1qxBURS+\n9KUv8dBDDzFlypSTKpv0tFVG4lQ5iVVlJE6VkThVTmJVGYmTEEKc2ClPmDTa1qzlmz9AaZvU+++/\nn3vvvXfMRg/a+4+3aDmbzaIoyofeIUsqjspInConsaqMxKkyEqfKSawqI3ESQogTq1rCVIuk4qiM\nxKlyEqvKSJwqI3GqnMSqMhInIYQ4serue1pjvvWtb1W7CH8QJE6Vk1hVRuJUGYlT5SRWlZE4CSHE\nickIkxBCCCGEEEJMovonQwohhBBCCCFEjZKESQghhBBCCCEmIWuYjpFIJFi9ejXvvfcera2t3HLL\nLcyYMaPaxapJ+/bt4yc/+QlHjhzhnHPO4S/+4i/w+XzVLlZNyufzfOtb3yKZTPKDH/yg2sWpGaqq\n8txzz/H973+faDTKddddx5133ondbq920WpSOp3mnnvuoampiZUrV1a7ODXrhRdeYM2aNeTzea64\n4gpuuukmjEZjtYtVc7Zu3cqjjz5KPp/nwgsv5Atf+AImkzQLhBDiWDLCVCaTybBw4UK+8Y1v0N3d\nzS9+8QvmzJnDu+++W+2i1ZxHH32UBQsWsGHDBhRF4R//8R+56KKLyGaz1S5azYlEIixbtoyHHnqI\nw4cPV7s4NeW+++7jqquuor6+niVLlvBP//RPXHrppRQKhWoXreb09fWxZMkS/u3f/o3+/v5qF6cm\n5fN5vvrVr7Js2TJ6enoYGhri5ptv5utf/3q1i1Zz/uu//otzzz2XF198kfb2dr7yla9w4403VrtY\nQghRkyRhKmMymbjjjjvYt28fzz//PHv27OHiiy/mxz/+cbWLVlNUVeXb3/42K1euZPv27Tz22GM8\n99xz7N69m02bNlW7eDXn8ccfp6Ojg/nz55PP56tdnJqxY8cOvvvd77Jq1SrWrFnD9773Pd566y22\nbNnCM888U+3i1Zyf/exnpNNpZs6cKdfRJHbu3Mn69ev1x7p16/jGN77BT3/602oXrebMnTuXxx9/\nnG3btrFx40ZefvllnnrqKQ4dOlTtogkhRM2RhKmM0Wjk61//Ok1NTQD6IbiykeBYiqKwZ88eVq5c\nicFQuoTC4TAAwWCwmkWrSbfddhv79+9n2rRperwEPPHEE5xxxhnceuut+nMzZ87kkksu4fHHH69i\nyWrTypUree+99/D7/XIdTWLhwoV0dXVx2WWX6c+Fw2G5L03gggsu4Atf+IJ+DpN24LvUd0IIMZ5M\nVp7Ajh07WLVqFevXr6ezs5O333672kWqafv37+fOO+9k0aJFnH322dUuTs1RFAVFUQiFQsybN6/a\nxakZmzdvZsmSJWMOzoRS0rRz584qlap2lV9HgUCg2sX5g/DEE0/wH//xH/zN3/xNtYtSk/L5PD/7\n2c/YsGED69at49Zbb2X69OnVLpYQQtQc6aacwHPPPcd//ud/0t7ezvLly6UCmYSqqvz85z9n0aJF\nuFwunn766XGNX/GBkZERGhsbq12MmhGPx/F6veOedzgcpNPpKpToD4NcRyeWSqX4q7/6K66//npu\nvvlm7r///moXqSYNDw/zk5/8hLVr12Iymbj55purXSQhhKhJn8gRpj179rB+/XrS6TTJZJLp06fz\nla98RX/9vvvu49577+XJJ5/k5ptvZsWKFZ/IOfCpVIrVq1cTj8dJJpOoqspdd92Fx+Mhm81y++23\ns3r1au6++24efPBBbDZbtYtcVW+99RZvvvkmqVSKVCrFueeey9VXX62/HgqFpKFbpq6uTp/KWS4U\nCskUqknk83mi0ahcR8dx6NAhrr76anp6evjVr37FTTfdVO0i1aympibee+89+vv7+fM//3OWL1/O\n3r17ZWdYIYQ4xicyYeru7mbLli0YjUZsNhsNDQ3j3mMwGLj++ut59dVXefbZZ6tQyupLJpO8+eab\nFAoFzGYzgUCAYrEIwD/8wz/wy1/+kvXr13PppZdWuaS1Ye/evbz99tsYjcYJR0lSqRQul6tKpas9\n06ZNm3Dq3bZt27jyyiurUKLap11Tch1NTFVVrrvuOnK5HDt27KClpaXaRfqD0NTUxH//939TX1/P\niy++yG233VbtIgkhRE35RCZMl19+OZdffvm457dv387vfvc7br/9dv05p9OJw+E4lcWrGcFgkFWr\nVk342urVq/na174myVKZW265hVtuuWXS151OJ8lk8hSWqLYtX76cRx55hEOHDtHW1gaUzoXZtWsX\n3/72t6tcutpkt9tRFEWuo0ns3r2bd999lxdffFGSpRN4+OGHufHGG/Up5zabDZPJhNPprG7BhBCi\nBn0iE6bJ9PT0cMcdd9Df38/nPvc5tm7dyr/8y79I4+0YqqrS1dXFnj17uO2224hEIqTTaVpbW3ng\ngQf0XQZFyZEjR/jVr35FoVBg7dq11NXVyTQhYOnSpcyZM4elS5fywAMPkEqluPvuu5k3bx7Lly+v\ndvFqzv79+1m7di1ms5mf//zn2Gw2rrrqqmoXq6Z0dnYC8OSTT7Jq1SpisRj5fJ7zzz+flStXyhrL\nMmvXruXRRx/loYcewm63853vfAefzzdmGrEQQogS2fShzLJly/jhD3/Ij370IxYvXszf/d3fsWLF\nClasWFHtotUURVH40pe+xODgIAMDA5hMJhoaGti3n4XOGQAAAtpJREFUbx8dHR3VLl7NefPNN3ns\nsceYNm0a4XCYl156qdpFqgkWi4WXX36ZRYsW8cUvflFfQ/HCCy/oWxyLD7z44os89thjnHnmmRw+\nfJjXX3+92kWqOfPnz2fx4sVs376dWCyG0+kkEAjw8ssvk0qlql28mvLYY4/R2NjIn/3Zn3HZZZcR\njUZZt26djDAJIcQEFFUOXRinWCwyPDyM1+vFarVWuzhC/NHLZrP6uWdCiFMnkUiQSqWoq6urdlGE\nEKJmScIkhBBCCCGEEJOQKXlCCCGEEEIIMQlJmIQQQgghhBBiEpIwCSGEEEIIIcQkJGESQgghhBBC\niElIwiSEEEIIIYQQk5CESQghhBBCCCEmIQmTEEIIIYQQQkxCEiYhhBBCCCGEmIQkTEIIIYQQQggx\nCUmYhBBVcfPNN/PFL35R/3M0GuXiiy9mxYoVqKpaxZIJIYQQQnxAUaVlIoSogq1bt3LeeeexadMm\nzj33XJYtW4bdbufpp5/GYrFUu3hCCCGEEIAkTEKIKrr11lvp7OwkGAwSCoVYt24dDoej2sUSQggh\nhNBJwiSEqJoDBw5w+umnM3/+fDZt2oTX6612kYQQQgghxpA1TEKIqsjn89x333243W6SySR2u73a\nRRJCCCGEGEcSJiHEKaeqKrfffjt79uxh586djI6O8u///u/VLpYQQgghxDiSMAkhTilVVbnnnnt4\n6aWXWL9+PW1tbaxcuZIHH3yQSCRS7eIJIYQQQowhCZMQ4pR64YUXeO+999iwYQMtLS0A3HHHHVxw\nwQX89re/rXLphBBCCCHGkk0fhBBCCCGEEGISMsIkhBBCCCGEEJOQhEkIIYQQQgghJiEJkxBCCCGE\nEEJMQhImIYQQQgghhJiEJExCCCGEEEIIMQlJmIQQQgghhBBiEpIwCSGEEEIIIcQkJGESQgghhBBC\niElIwiSEEEIIIYQQk5CESQghhBBCCCEm8f8BG/zbz08y7lAAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x214a76d19e8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from scipy.stats import t\n",
    "\n",
    "dof_values   = [1,2,5,10,30,1E10]\n",
    "col_alph_values = [0.2, 0.3, 0.4, 0.5, 0.6, 0.8]\n",
    "x = np.linspace(-5, 5, 1000)\n",
    "\n",
    "# plot the distributions\n",
    "fig, ax = plt.subplots(figsize=(8, 6))\n",
    "\n",
    "for df,c_alph in zip(dof_values, col_alph_values):\n",
    "    if df > 30:\n",
    "        dl = r'$+\\infty$'\n",
    "    else:\n",
    "        dl = df        \n",
    "    ax.plot(x, t.pdf(x, df), lw=3.2, color='#A93226', alpha=c_alph, label=r'df={}'.format(dl))\n",
    "   \n",
    "# legend styling\n",
    "legend = ax.legend()\n",
    "for label in legend.get_texts():\n",
    "    label.set_fontsize('large')\n",
    "for label in legend.get_lines():\n",
    "    label.set_linewidth(1.5)\n",
    "\n",
    "# y-axis\n",
    "ax.set_ylim([0, .43])\n",
    "ax.set_ylabel(r'$P(x)$')\n",
    "\n",
    "# x-axis\n",
    "ax.set_xlim([-3.0, 3.0])\n",
    "ax.set_xlabel(r'$x$')\n",
    "\n",
    "ax.grid(color='grey', linestyle='-', linewidth=0.3)\n",
    "    \n",
    "plt.title(r'Examples of $t_n$ with varying degrees of freedom', y=1.02)\n",
    "plt.text(x=3.5, y=0.22, s=r'Fatter tails with fewer degrees of freedom')\n",
    "plt.text(x=3.5, y=0.19, s=r'Approaches $\\mathbb{N}(0,1)$ as $df \\rightarrow +\\infty$')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Properties\n",
    "\n",
    "1. symmetric, i.e., $-T \\sim t_n$ <p/>\n",
    "1. $n=1 \\, \\Rightarrow $ Cauchy, so $t_1$ does not have a mean<p/>\n",
    "1. $n \\ge 2 \\Rightarrow \\mathbb{E}(T) = \\mathbb{E}(Z)\\,\\mathbb{E}\\left(\\frac{1}{\\sqrt{V/n}}\\right) = 0$ <p/>\n",
    "1. heavier-tailed than Normal <p/>\n",
    "1. for $n$ large, $t_n$ looks very much like Normal <p/>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "### Brief interlude: even moments of $Z$ and the Gamma distribution\n",
    "\n",
    "It was proved earlier that for $Z \\sim \\mathcal{N}(0,1)$, the *even* moments are such that\n",
    "\n",
    "\\begin{align}\n",
    "  \\mathbb{E}(Z^2) &= 1 \\\\\n",
    "  \\mathbb{E}(Z^4) &= 1 \\times 3 = 3 \\\\\n",
    "  \\mathbb{E}(Z^6) &= 1 \\times 3 \\times 5 = 15 &\\quad \\text{ skip factorial} \\\\\n",
    "\\end{align}\n",
    "\n",
    "Now, this was proven using moment-generating functions, but we can also relate this to the Gamma distribution.\n",
    "\n",
    "\\begin{align}\n",
    "  \\mathbb{E}(Z^{2n}) &= \\mathbb{E}\\left( (Z^2)^n \\right) \\\\\n",
    "  &= \\mathbb{E}\\left( \\chi^2_1 )^n \\right) &\\text{ but by definition } Z^2 \\text{ is } \\chi^2_1 \\\\\n",
    "  &= \\mathbb{E}\\left( \\operatorname{Gamma}(\\frac{1}{2}, \\frac{1}{2})^n \\right)\n",
    "\\end{align}\n",
    "\n",
    "... and after this point, we can use our knowledge of the Gamma distribution and LOTUS.\n",
    "\n",
    "#### Finding $\\mathbb{E}(Z^8)$ with $\\operatorname{Gamma}(\\frac{1}{2}, \\frac{1}{2})$\n",
    "\n",
    "\\begin{align}\n",
    "  \\mathbb{E}(Z^8) &= \\mathbb{E}\\left( (Z^2)^4 \\right) \\\\\n",
    "  &= \\mathbb{E}\\left( \\operatorname{Gamma}(\\frac{1}{2}, \\frac{1}{2})^4 \\right) \\\\\n",
    "  &= \\frac{\\Gamma(\\alpha + 4)}{\\Gamma(\\alpha) \\, \\lambda^4} \\\\\n",
    "  &= \\frac{(\\alpha + 3) \\, \\Gamma(\\alpha + 3)}{\\Gamma(\\alpha) \\, \\lambda^4} \\\\\n",
    "  &= \\frac{(\\alpha + 3) \\, (\\alpha + 2) \\, \\Gamma(\\alpha + 2)}{\\Gamma(\\alpha) \\, \\lambda^4} \\\\\n",
    "  &= \\frac{(\\alpha + 3) \\, (\\alpha + 2) \\, (\\alpha + 1) \\, \\Gamma(\\alpha + 1)}{\\Gamma(\\alpha) \\, \\lambda^4} \\\\\n",
    "  &= \\frac{(\\alpha + 3) \\, (\\alpha + 2) \\, (\\alpha + 1) \\, \\alpha \\, \\Gamma(\\alpha)}{\\Gamma(\\alpha) \\, \\lambda^4} \\\\\n",
    "  &= \\frac{\\frac{7}{2} \\, \\frac{5}{2} \\, \\frac{3}{2} \\, \\frac{1}{2}}{\\frac{1}{2^4}} \\\\\n",
    "  &= 1 \\times 3 \\times 5 \\times 7 \\\\\n",
    "  &= 105\n",
    "\\end{align}\n",
    "\n",
    "You can [double-check this answer on WolframAlpha](http://www.wolframalpha.com/input/?i=expected+value+of+Z%5E8)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Proof of property 5: Student's $t$ when $n$ get large\n",
    "\n",
    "Let's prove property 5 above, but use the Law of Large Numbers (c.f. Lesson 29).\n",
    "\n",
    "* Let $T_n = \\frac{Z}{\\sqrt{V/n}}$ with $Z_1, Z_2, \\dots , Z_n$ i.i.d. $\\mathcal{N}(0,1)$\n",
    "* $V = Z_1^2 + Z_2^2 + \\dots + Z_n^2$\n",
    "* $Z$ is independent of the $Z_j^2$\n",
    "\n",
    "Now we can choose any distribution for this case as long as it is $\\mathcal{N}(0,1)$, and so there is nothing wrong in choosing the same distribution $Z$ for the numerator and all elements of the denominator as well.\n",
    "\n",
    "Then $\\frac{V_n}{n} \\rightarrow 1$ with probability 1 by the Law of Large Numbers, since the average $\\frac{V_n}{n}$ will approach the true average $Z_1^2$ as $n$ gets large. We know that $Z_1^2 = 1$.\n",
    "\n",
    "Now, the Law of Large Numbers is with regards to point-wise estimates, so we can further state that $\\sqrt{\\frac{V_n}{n}} \\rightarrow 1$ with probability 1.\n",
    "\n",
    "So $T_n \\rightarrow Z$ with probability 1, since the denominator goes to 1 when you have a large number of degrees of freedom; only the $Z$ in the numerator will be of importance.\n",
    "\n",
    "\\begin{align}\n",
    "\\end{align}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "----"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Multivariate Normal\n",
    "\n",
    "### Definition\n",
    "\n",
    "Random vector $(X_1, X_2, \\cdots , X_k) = \\vec{X}$ is Multivariate Normal if every linear combination $t_1 X_1 + t_2 X_2 + \\cdots + t_k X_k$ is Normal. \n",
    "\n",
    "\n",
    "### An example that is multivariate Normal\n",
    "\n",
    "Let $Z, W$ be i.i.d. $\\mathcal{N}(0,1)$. Then $( Z + 2W, 3 \\, Z + 5W)$ is multivariate Normal (MVN).\n",
    "\n",
    "Given constants $s,t$\n",
    "\n",
    "\\begin{align}\n",
    "  s (Z + 2 \\, W) + t (3 \\, Z + 5 \\, W) &= (s + 3t) Z + (2s + 5t) W \\\\\n",
    "\\end{align}\n",
    "\n",
    "But since this is $(s + 3t)$ and $(2s + 5t)$ are just scaling independent Normal random variables $Z$ and $W$ respectively; and since we know that the sum of Normal random variables is also Normal, we know that $(s + 3t) Z + (2s + 5t) W$ is also necessarily a Normal r.v. \n",
    "\n",
    "### A non-example (NOT multivariate Normal)\n",
    "\n",
    "Let $Z \\sim \\mathcal{N}(0,1)$, and let $S$ be a random sign that is independent of $Z$.\n",
    "\n",
    "Then $Z,SZ$ are marginally $\\mathcal{N}(0,1)$ (consider both individually on their own).\n",
    "\n",
    "But $(Z, SZ)$ is _not_ multivariate normal! Just test this by considering $(Z + SZ)$. \n",
    "\n",
    "$Z + SZ$ cannot be Normal, since:\n",
    "* half the time, the sum of $Z$ and $SZ$ will be zero when $S$ is negative\n",
    "* the other times, the sum will be $2Z$\n",
    "* this is some mixture of discrete and continuous"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "## MGF of $\\vec{X}$\n",
    "\n",
    "Now with $X \\sim \\mathcal{N}(\\mu, \\sigma^2)$, the moment generating function $M(X)$ is\n",
    "\n",
    "\\begin{align}\n",
    "  M(X) &= \\mathbb{E}(e^{tX}) \\\\\n",
    "  &= e^{t\\mu + \\frac{1}{2} \\, t^2 \\sigma^2} \\\\\\\\\n",
    "\\end{align}\n",
    "\n",
    "Extending this one-dimensional case to the multidimensional $\\vec{X}$:\n",
    "\n",
    "\\begin{align}\n",
    "  M(\\vec{X}) &= \\mathbb{E}(e^{\\vec{t} \\, \\vec{X}}) \\\\\n",
    "  &= \\mathbb{E}(e^{t_1 \\, X_1 + t_2 \\, X_2 + \\cdots + t_n \\, X_n}) \\\\\n",
    "  &= \\mathbb{E}(e^{t_1 \\, \\mu_1 + t_2 \\, \\mu_2 + \\cdots + t_n \\, \\mu_n + \\frac{1}{2} Var(t_1 \\, X_1 + t_2 \\, X_2 + \\cdots + t_n \\, X_n)}\n",
    "\\end{align}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Theorem: Within an MVN, uncorrelated implies independent\n",
    "\n",
    "Recall that in general, independence implies uncorrelation, but the vice versa is not always true. In the case of an MVN, however, it **is** true.\n",
    "\n",
    "In other words, consider vector\n",
    "\n",
    "\\begin{align}\n",
    "\\vec{X} &= \\begin{bmatrix}\n",
    "              \\vec{X_1} \\\\\n",
    "              \\vec{X_2} \\\\\n",
    "            \\end{bmatrix}\n",
    "\\end{align}\n",
    "\n",
    "If every component of $\\vec{X_1}$ is uncorrelated with every component of $\\vec{X_2}$, then $\\vec{X_1}$ is independent of $\\vec{X_2}$.\n",
    "\n",
    "### Example\n",
    "\n",
    "Let $X,Y$ be i.i.d. $\\mathcal{N}(0,1)$. Then $(X+Y, X-Y)$ is MVN (_bivariate Normal_ to be precise). \n",
    "\n",
    "It is easy enough to show that $X+Y$ and $X-Y$ are uncorrelated:\n",
    "\n",
    "\\begin{align}\n",
    "  \\operatorname{Cov}(X+Y, X-Y) &= \\operatorname{Var}(X) + \\operatorname{Cov}(X,Y) - \\operatorname{Cov}(X,Y) - \\operatorname{Var}(Y) \\\\\n",
    "  &= \\operatorname{Var}(X) - \\operatorname{Var}(Y) \\\\\n",
    "  &= 1 - 1 \\\\\n",
    "  &= 0\n",
    "\\end{align}\n",
    "\n",
    "But can we show that $X+Y$ and $X-Y$ are _independent_?\n",
    "\n",
    "### Proof\n",
    "\n",
    "Let's try for something a bit more abstract.\n",
    "\n",
    "We suppose that $X,Y$ are _independent_, zero-mean normal random variables with variances $\\sigma_U, \\sigma_V$.\n",
    "\n",
    "Let $U = aX + bY$, and $V = cX + dY$ so that $U,V$ are jointly normal; this is a more general represention of the above example, where $a = 1, b=1, c=1, d=-1$.\n",
    "\n",
    "Say we have some scalars $t_1, t_2$, and let $Z = t_{1}U + t_{2}V$. Then\n",
    "\n",
    "\\begin{align}\n",
    "  M_{U,V}(t_1, t_2) &= \\mathbb{E}(e^{t_1 \\, U + t_2 \\, V}) \\\\\n",
    "  &= \\mathbb{E}(e^{Z}) \\\\\n",
    "  &= \\mathbb{E}(e^{t_1 \\, \\mu_U + t_2 \\, \\mu_V + \\frac{1}{2} Var(t_1 \\, U + t_2 \\, V)} \\\\\n",
    "  &= \\mathbb{E}(e^{\\frac{1}{2} Var(t_1 \\, U + t_2 \\, V}) \\\\\n",
    "  &= \\mathbb{E}(e^{\\frac{t_U^2 \\, \\sigma_U^2 + t_V^2 \\, \\sigma_V^2}{2}}) \n",
    "\\end{align}\n",
    "\n",
    "Now let $U\\prime, V\\prime$ be independent zero-mean normal random variables with the same variances $\\sigma_U, \\sigma_V$. Since $U\\prime, V\\prime$ are independent, they are also _uncorrelated_, and so the moment generating function of their bivariate normal distribution is given by $M_{U\\prime,V\\prime}(t_1, t_2) = \\mathbb{E}(e^{\\frac{t_U^2 \\, \\sigma_U^2 + t_V^2 \\, \\sigma_V^2}{2}}) $.\n",
    "\n",
    "Since both $U,V$ and $U\\prime,V\\prime$ have the same moment generating function, they are boht associated with the same bivariate Normal distribution (they share the same joint PDF). \n",
    "\n",
    "Thereforce, since $U\\prime,V\\prime$ are _independent_, we conclude that $U,V$ are also independent. QED.\n",
    "\n",
    "----"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "View [Lecture 30: Chi-Square, Student-t, Multivariate Normal | Statistics 110](http://bit.ly/2Qfy1vJ) on YouTube."
   ]
  }
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