{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import json\n",
    "from scipy import optimize\n",
    "import umodel as unf\n",
    "\n",
    "import matplotlib as mpl\n",
    "mpl.rcParams['legend.frameon'] = False\n",
    "mpl.rcParams['legend.fontsize'] = 'xx-large'\n",
    "mpl.rcParams['xtick.labelsize'] = 16\n",
    "mpl.rcParams['ytick.labelsize'] = 16\n",
    "mpl.rcParams['axes.titlesize'] = 18\n",
    "mpl.rcParams['axes.labelsize'] = 18\n",
    "mpl.rcParams['lines.linewidth'] = 2.5\n",
    "mpl.rcParams['figure.figsize'] = (10, 7)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plotResult(xEdges, postFitPOIs1, postFitPOIs2):\n",
    "    \n",
    "    '''\n",
    "    This function plot the post-fit unfolded bins \n",
    "    versus the unfolded observables values.\n",
    "    \n",
    "    xEdges: 1D array with edges of observable values\n",
    "    postFitPOIs: 2D array of shape (N, 3) with N POI measurment\n",
    "                 with central value, negative and positive error.\n",
    "    '''\n",
    "    \n",
    "    # Plot the result\n",
    "    plt.figure(figsize=(15, 5))\n",
    "\n",
    "    # x-data for binned-like plotting\n",
    "    xUp, xDown = xEdges[1:], xEdges[:-1]\n",
    "    xCenter = (xUp + xDown) / 2\n",
    "    \n",
    "    # Labels\n",
    "    xlabels = ['cos($\\\\theta^{+}_{n}$)', 'cos($\\\\theta^{-}_{n}$)']\n",
    "    \n",
    "    for i, (distri1, distri2) in enumerate(zip(postFitPOIs1, postFitPOIs2)):\n",
    "    \n",
    "        # y-data\n",
    "        vals1 = distri1[:, 0]\n",
    "        errn1 = distri1[:, 1]\n",
    "        errp1 = distri1[:, 2]\n",
    "        vals2 = distri2[:, 0]\n",
    "        errn2 = distri2[:, 1]\n",
    "        errp2 = distri2[:, 2]\n",
    "\n",
    "        # Plot figure\n",
    "        plt.subplot(1, 2, i+1)\n",
    "        \n",
    "        # Plot data\n",
    "        plt.plot(xCenter-0.05, vals1, 'o', markersize=10)\n",
    "        plt.vlines(x=xCenter-0.05, ymin=vals1-errn1, ymax=vals1+errp1, color='tab:blue', label='w/o corr')\n",
    "        plt.plot(xCenter+0.05, vals2, 'o', markersize=10, color='tab:red')\n",
    "        plt.vlines(x=xCenter+0.05, ymin=vals2-errn2, ymax=vals2+errp2, color='tab:red', label='w/ corr')\n",
    "        \n",
    "        # Plot cosmetics\n",
    "        plt.ylabel('Unfolded Yields')\n",
    "        plt.xlabel(xlabels[i])\n",
    "        #plt.ylim(0, 200)\n",
    "        plt.legend()\n",
    "    \n",
    "\n",
    "    \n",
    "def plotErrorBarRatio(xEdges, postFitPOIs1, postFitPOIs2):\n",
    "    # Plot the result\n",
    "    plt.figure(figsize=(15, 5))\n",
    "\n",
    "    # x-data for binned-like plotting\n",
    "    xUp, xDown = xEdges[1:], xEdges[:-1]\n",
    "    xCenter = (xUp + xDown) / 2\n",
    "    \n",
    "    # Labels\n",
    "    xlabels = ['cos($\\\\theta^{+}_{n}$)', 'cos($\\\\theta^{-}_{n}$)']\n",
    "    \n",
    "    for i, (distri1, distri2) in enumerate(zip(postFitPOIs1, postFitPOIs2)):\n",
    "    \n",
    "        # y-data\n",
    "        bar1 =  distri1[:, 2] + distri1[:, 1]\n",
    "        bar2 =  distri2[:, 2] + distri2[:, 1]\n",
    "\n",
    "        # Plot figure\n",
    "        plt.subplot(1, 2, i+1)\n",
    "        .00001\n",
    "        # Plot data\n",
    "        plt.plot(xCenter-0.05, bar2 / bar1, 'o', markersize=10)\n",
    "        \n",
    "        # Plot cosmetics\n",
    "        plt.ylabel('Error Bar Ratio')\n",
    "        plt.xlabel(xlabels[i])\n",
    "        plt.ylim(0.0, 2.0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Loading data cos(n, +)\n",
    "with open('../data/CosThetaNplus/asimov_spinCorrelation.json', 'r') as read_file:\n",
    "    dp = np.array(json.load(read_file))\n",
    "    \n",
    "with open('../data/CosThetaNplus/resmat_spinCorrelation.json', 'r') as read_file:\n",
    "    rp = np.array(json.load(read_file))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[1. 0.]\n",
      " [0. 1.]]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x504 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "unity = np.diag([1]*2).astype(np.float64)\n",
    "dp = np.array([100])\n",
    "rp = np.array([[1]])\n",
    "\n",
    "Ds = [dp, dp]\n",
    "Rs = [rp, rp]\n",
    "\n",
    "fullCorr = unity.copy()\n",
    "for i in range(0, 1):\n",
    "    for j in range(0, 1):\n",
    "        if i == j:\n",
    "            fullCorr[i+1, j] = 0\n",
    "            fullCorr[i, j+1] = 0\n",
    "\n",
    "plt.matshow(fullCorr)\n",
    "print(fullCorr)\n",
    "plt.colorbar();\n",
    "\n",
    "mCorr = unf.model(Ds, Rs, fullCorr)\n",
    "m = unf.model(Ds, Rs, corr=unity)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Corr - Normal:\n",
      "[0.]\n",
      "[0.]\n",
      "\n",
      "Corr[var1] - Corr[var2]:\n",
      "[0.]\n"
     ]
    }
   ],
   "source": [
    "xc, _ = mCorr.unfold()\n",
    "xn, _ = m.unfold()\n",
    "\n",
    "print('Corr - Normal:')\n",
    "for bc, bn in zip(xc, xn):\n",
    "    print(bc-bn)\n",
    "    \n",
    "print('\\nCorr[var1] - Corr[var2]:')\n",
    "v1, v2 = xc\n",
    "print(v1-v2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "WARNING: chi2=1.28, investigate the profile LH for \n",
      "--> (iPOI, Min, Max, N) = (0, 3.71e+01, 1.63e+02, 10)\n",
      "WARNING: chi2=1.28, investigate the profile LH for \n",
      "--> (iPOI, Min, Max, N) = (1, 3.71e+01, 1.63e+02, 10)\n"
     ]
    }
   ],
   "source": [
    "b3Corr = mCorr.postFitUncerPOIs(iPOI=0)\n",
    "b7Corr = mCorr.postFitUncerPOIs(iPOI=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "97  -7.18  +7.81\n",
      "97  -7.18  +7.81\n"
     ]
    }
   ],
   "source": [
    "def printMeas(m):\n",
    "    m = m\n",
    "    print('{:.0f}  -{:.2f}  +{:.2f}'.format(m[0], m[1], m[2]))\n",
    "    \n",
    "printMeas(b3Corr)\n",
    "printMeas(b7Corr)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure()\n",
    "m.plotProfile(0, 80, 125, 20, label='bin0 w/o corr', color='tab:blue')\n",
    "mCorr.plotProfile(0, 80, 125, 20, label='bin0 w/ corr', color='tab:red')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## TO BE DONE\n",
    "\n",
    "  + compare bin 0 profile for different value of the \"secondary diagonal\" correlation value"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [],
   "source": [
    "def addProfileBin(nBins, iPOI, rho, color):\n",
    "    \n",
    "    Ds = [np.array([100]*nBins), np.array([100]*nBins)]\n",
    "    Rs = [np.eye(nBins), np.eye(nBins)]\n",
    "    \n",
    "    unity = np.diag([1]*2*nBins).astype(np.float64)\n",
    "    fullCorr = unity.copy()\n",
    "    for i in range(0, nBins):\n",
    "        for j in range(0, nBins):\n",
    "            if i == j:\n",
    "                fullCorr[i+nBins, j] = rho\n",
    "                fullCorr[i, j+nBins] = rho\n",
    "\n",
    "    mCorr = unf.model(Ds, Rs, fullCorr)\n",
    "    mCorr.plotProfile(iPOI, 80, 125, 20,\n",
    "                      label='Nbins={}, bin{}'.format(nBins, iPOI) + ', $\\\\rho=$' + '{:.3f}'.format(rho), \n",
    "                      color=color)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[ 1.33333333  0.         -0.66666667  0.        ]\n",
      " [ 0.          1.33333333  0.         -0.66666667]\n",
      " [-0.66666667  0.          1.33333333  0.        ]\n",
      " [ 0.         -0.66666667  0.          1.33333333]]\n"
     ]
    }
   ],
   "source": [
    "def showRevert(nBins=2, rho=0):\n",
    "    unity = np.diag([1]*2*nBins).astype(np.float64)\n",
    "    fullCorr = unity.copy()\n",
    "    for i in range(0, nBins):\n",
    "        for j in range(0, nBins):\n",
    "            if i == j:\n",
    "                fullCorr[i+nBins, j] = rho\n",
    "                fullCorr[i, j+nBins] = rho\n",
    "    print(np.linalg.inv(fullCorr))\n",
    "    \n",
    "showRevert(2, 0.5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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12Pbt2y2XWLlzRfBt27aJqVOnCn9/f6HVasUDDzwgDhw4UKJ+cdkzZ86U2mZttWxAJCQkCCGEMBqNYurUqSI8PFz4+voKvV4vQkJCRHx8vMjOznZa/4ODgy19vPO2atUqS7mcnBwBiOHDh1fYpq05ciQ/xfLz84XBYBDBwcFCo9GIkJAQsXDhwlKXZrEn/sDAQBEXFye2bNkiQkNDLe0uWLCgWlwSx9Z9VnwpjjtXkrY1Z64sa010dLTw8PAQkyZNEoA4dOiQXXmpCrb20Rm5t3U/S3+6cjFTvP/0ZpH87C6xLGaduHXjhipxUM6K4Ipw8cUYu3TpItLS0lz6HLf7IOEtbvxWtGqozu9/iX3r9Sp7bkmqrr788kuioqJIT08vcz5PdWZr/FlZWTRq1IgFCxaUWrlZcp21a9cyatQoyxpp7du354MPPrC6FpYkleX95w0UmoqOMnl67eWZeQZV4lAU5aAQoou1xxyfmFDN9H92FG6FRT8LLbhQ/kqzklRX7Nq1i+HDh9fIARPYHn/xfCZnTr6WypeZmcnzzz9PZGQk06dPp23btmi1WrlCtmS3wM7N8cj9CU/jZZ6c8aLa4VhV6+Y0NQoIwt24GbNXR4RnW3KuXcPbyuUSJKkumTdvntohOMTW+IsHTR06dHBlONIfhBCMHTuW/Px81qxZY1nQNDw8nBUrVhAQEMDAgQMJDQ1VOVKpJogaOxbGQuapE9X2c7vWHWkCUBr/DkChhxdb30+poLQkSbVFeno6fn5+lon2kmstXryY1NRU5syZQ0hIiGX77NmzadmyJfHx8Rw/flzFCKWa6O5WFV//Uy21bk4TwMn0g2x/7yoo7rgb9/PcKhsu/SFJkiRJUpXbt20r4T16o71jBX+11Kk5TQCtwyLQ5BZd48pNaUOByaRyRJIkSZIk3enm9ev88HEuH/79M1bHO2c5E1eqlYMmgELvSwCYNH58uXqVytFIkiRJknSnf81cgEnbmHxdM/J+L1A7nArV2kFTp6iiI2uKuZBff7qgcjSSJEmSJN0u9+ZNuFI0F84j/zrR08epHFHFau2gqevfovBq+B8eHe/LswveUDscSZIkSZJus/aNuZh0TQEw647QKCBI5YgqVuuWHLjd02/OUDsESZIkSZLukJ+bB//XGnTgYcpmcMJYtUOySa090iRJkiRJUvW0JnE2+bqipUHMnodp0jxY5YhsUycGTT8d2M+KaUlqhyFJkiRJdV5+bh7mSy0B8DDdYODUUSpHZLtaP2ha+qKBPctzyLvajf/9cqva4UiSJElSnbY2aQ75ugAAzO6HCLintcoR2a7WD5oCOwaCUtTNo18cUjkaSZIkSarbHhoehWL+XzyNV+g/eZja4dilVk8EB/jb6DGs+s9m8rWN8bhV/WfmS5IkSVJt1rpjGK2XhZGXm4dOr1M7HLvU+iNNHp6eFCgnAMjXt+Tw3n+rHJEkSZIkSTVtwAR1YNAE0KTzn1dL3r9xr4qRSJIkSVLdtGPdGo4d2Kd2GA6pE4OmqHHj8Mz/HQD3nGYqRyNJklS7GY1GYmNjCQ4Oxtvbm7CwMLZs2aJ2WJKKCkwmzm03sXvZ77w/zqB2OJVWJwZNGr0OszgOQL6uFT8f3K9yRJIkSbVXQUEBQUFBfP3111y/fp1Zs2bx1FNPcfLkSbVDk1Ty0T/nk69vgdldhxDuaodTaXVi0ATge6+26A/Fjb1rvlI3GEk1q1evRlEUdu7caXPZs2fPuj6wasTWHNXV/EgVq1evHgaDgRYtWuDm5kbfvn0JCQnh4MGDaocmqaDAZCL3uB8AboVGHp7QR+WIKq/ODJoGTngOT2MWnrd+wNu/ntrhSE6yZ88eFEVBURS++qr0YNieQVJNc/bsWUvf77yNG1f9L3wJRUckZs6cScuWLdHpdISGhpKcnIwQQu3QHOKMftnThqvKOsuVK1c4duwY7du3d9lz3M7RPtpa/8aNGxgMBqKiomjWrBmKojBmzBgX9Khm2zh/Efle9xTdKTxIu4j71Q3IEUIIl94iIiJEdXEz+7raIUhOtnv3bgEIQFh7ra1atUoAIjU11er98hQUFIjc3FxhNpudHrcznDlzRgBi4MCBYs2aNSVu+/btq3S7tubIGfkZN26cAERcXJxISUkRQ4cOFYB44403Kt1mdeCMftnThqvKOoPJZBJ9+/YVMTExLmnfGkf7aGv94vdgs2bNxGOPPSaAKu1nTbFs9Psi+dld4r1xX4mj3+5VO5wKAWmijDFNnRo0SbVP8aApPDxcAGLz5s0lHndk0FTdFf/Dnj59ulPbraocHTlyRADipZdeKrE9OjpaaLVacfHiRZc+v6s4o1/2tOGqss5QWFgoRowYIfr06SOMRqNT2y6Lo320p35eXp7IzMwUQhQNDuWgqbSP5s4Xyc/uEsnP7hJLnk5SOxyblDdoqjOn56TaLTY2lubNm5OQkGDTIXiTycSrr75KQEAAer2ehx56iEOHSq4Yb23OTvG27du3k5SURFBQEDqdju7du5Oenl6i/s2bN3nllVdo1aoVOp2Oxo0b061bNzZu3OiUPt8uNzeX3Nxcp7ZZUY4czc+GDRsAmDhxYontEydOxGg08tlnnznch+PHj9O/f398fX3RarVERETw3XffOdxueZzRL3vacFVZaz755BM0Gg2dOnVi//6SP6iZN28eiqKwYsUKoOgLeWxsLJmZmXz66adoNJoK++0MjvbRnvparZbAwEBnhF1rZR8pWovJrTCfrk93Uzkax9X6FcHvdOSbPexb/zXuN/0ZkPgo/sH3qB2S5AQajYbXX3+duLg4NmzYwPDhw8st/9prryGE4OWXXyY7O5vk5GR69uxJWloabdq0qfD54uPjURSFSZMmkZuby5w5cxg0aBAnTpzAw6PobTVhwgTWr1/P+PHj6dixI9nZ2aSnp7Nv3z6GDSu6dIDZbObq1as29VGn01G/fv1S2xcuXMibb74JQOvWrXnxxRf5+9//blOb5XEkR7bkJy0tjaZNmxIcXPLq5pGRkbi5uTk8aXjnzp0MGDCArl27kpiYyKVLl5g/fz79+/fn1KlT+Pr6lqrjjP3hjH7Z04arylrTvn17DAYDM2fOZMqUKezdW7Tu3U8//cT06dOJiooiNjYWgPHjx/Pzzz+TmpqKl5dXhX12Ru7B8T66+nVZl3y6+D3yvUIBUAoO0+nB11SOyHF1b9C04z+YzQ9i1sOXS/9F7Fuvqx2S5CRjxozhnXfewWAwMHToUNzdy/5Za05ODunp6ZZ/vIMHDyY8PJz4+HjLN82KfPvtt5YBQGhoKEOGDGHHjh3069cPgK1btxIXF8fChQvLbOP8+fO0bNnSpueLiYlh9erVlvtubm707t2bQYMGERwczMWLF1m+fDn/+Mc/OHv2LLNnz7ap3bI4mqOK8nPx4kWr39I1Gg0NGzbkwoULlY798uXLREdHM3LkSJYuXYqiKAA0btyYyZMns3XrVkaPHl2qniP7o5gz+mVPG64qa027du1o164dZ8+eZd26dQghMJlMjBw5kvr165OSkgLAuXPnWLp0KVqtlmbN/lwbb9q0aUybNs1q287IvTP66MrXZV3z2Lg41ibNoeB8U/4yrqva4ThFnRs0PTY+ho8TfsTsrqXgQt39Fd3HaRl8cjCz3DL3BtxFQtSfv3b56eJ1Ej//b4Vtb3j2ryXuP7G0/BVgoyPuZmgXx68L6OHhQUJCAqNGjWLt2rXExMSUWXbcuHElvqmGhYXRu3dvtm3bhtlsxs2t/DPXcXFxlgEBQM+ePQE4deqUZZuPjw/79+8nIyODoCDr/fP39yc1NdWm/gUEBJS437x581K/Chw3bhy9evVi3rx5PPfcc7Rq1cqmtq2pKEflsSU/ubm53HXXXVbr63Q6h043vvnmm2g0GubPn28ZMAH06tULgMxM6699R/ZHMWf0y542XFW2PBEREaSkpHD69GlSUlI4cuQImzZtomnTpgAEBwfb/Ws8Z+QeHO+jK1+XdY2n1pOnZ9b8o0u3q3ODpkYBQbgbP8HsFYbwbMvV337Fr6m/2mFVuczfc9l/xrZD4cWycwvsrgNUWKfrPQ3tbrMsI0aM4O233yYxMZERI0aUWa5t27ZWt6WmpnL58mXLP/+y3HnovkGDBgAlTi/Mnj2bmJgYgoOD6dSpE7179+aJJ56gS5culjI6nY5HHnnEpr7Zwt3dnZdffpm9e/eya9cuhwZNFeWoPLbkR6/XYzQardbPy8tDr9fbG7LF5s2bGThwIPXqlfxidOvWLQD8/Pys1nPG/nBGv+xpw1Vly9OxY0cAlixZwvz58xk9ejSPP/64TXXL4qz3gqN9dOXrUqr56tygCcCtWQ5ch0IPPVvfW8mYN6wfLq7N7m6g5/6W1j84it0bUPLb1l16jwrrWFNRnbsbOO+fkJubGwaDgWHDhrFy5Uq0Wq3VcrcffaiMsk793f7teujQofTo0YPPP/+cnTt3snLlSubOnYvBYGDGjBkAFBYWVjgAKabX6/Hx8amwXPGA5cqVKza1WxZHcmRLfgICAvjhhx9KlcnPzycrK6vcownl+eWXX8jIyCA8PLzUY8XzUbp37261rjP2hzP6ZU8bripbno4dO6IoCnPnziUoKIhFixbZVK88znovONpHV70u65Kty5aSn5tL9MQX1Q7F6erkoKn/cyP47K2TmN01GM9a/1Ct7YZ2CbL7lFj7AJ9Sp95sUZk6joiOjiYsLIykpCTi4+Otljl27FipbcePH6d+/fo0btzYabE0adKE2NhYYmNjuXXrFv369SMxMZEpU6ag1+vJyMhwyjyO2xVfqqJJkyaOhO7yHEVERJCamsr58+dp3ry5ZfuBAwcwm81ERERUqt3Dhw8DWD0isH79ekJCQixHSu7kjP3hjH7Z04arypbH29ubu+++m8zMTFavXm3TYL4iznovONpHV70u65Lf/lchX38fy0YvYOyKv+Ph6al2SE5TJ5ccaNayNe7Gog8E4RlK1iU5sa82URSFxMREMjMzWbZsmdUyy5cv5+bNm5b76enp7Nq1i759+1Y4n8kWhYWFXL9+vcQ2Ly8vQkNDSzxWPI/DltvUqVNLtGftl0Z5eXm89dZbeHh40KePY5cqcHWOin9BeOdRikWLFqHRaBg0aFCl2i1e2mD37t0lticnJ7Nv3z4MBkOZdR3ZH5Xpl8lk4tixY1y6dKnSbbiqbHm++OILMjIyaN26tWWemKOckXtwPP+uel3WFevemUO+vjUAZo+btWrABHX0SBOAe2A2pt+LT9F9wNMz694putpswIABREZG8v3331t93Nvbm27dujFmzBiys7N599138fLyYubMmU55/pycHAIDAxk8eDBhYWH4+flx+PBhli9fTq9evfD3L5pH58g8jsmTJ3P+/Hm6d+9OUFAQv/32Gx9++CEnTpwgKSmpxLdkKBpM9ujRgz179tjUvqtz1LlzZ8aOHcu8efPIyckhMjKSHTt2sHHjRhISEkqdBrE1/vT0dNq0acPHH3+MRqOhc+fOfPPNN3z00UeMHTuWJ598ssy6zphXY0+/Lly4QLt27UodObGnDVeVLUtWVhZxcXEAnD59GqPRWOZpcHs4a06To/m3N0fJyclcu3bN8uOIo0ePkpSUBBT9H7rvvvsc7lNNUWAycfO/PqAvWpepe9xDaofkfGWteumsW3VdEfzXc6fEe+O2ieRnd4n3R89WOxypkopXBE9JSSn12Pbt2y2XWLlzRfBt27aJqVOnCn9/f6HVasUDDzwgDhw4UKJ+cdkzZ86U2mZttWxAJCQkCCGEMBqNYurUqSI8PFz4+voKvV4vQkJCRHx8vMjOznZK39etWycefvhh0bRpU+Hp6Sl8fHzEww8/LDZt2lSqbE5OjgDE8OHDK2zX1hw5kp9i+fn5wmAwiODgYKHRaERISIhYuHBhqUuz2BN/YGCgiIuLE1u2bBGhoaGWdhcsWFBll8SxtV/Fq7pbW0Xa1jZcWdaa6Oho4eHhISZNmiQAcejQIduSUoUczb89OQoODrb8n7nztmrVKhf2svr519v/tKz+/d7TM9UOp9IoZ0VwRbjwIo0AXbp0EWlpaS59jsp6f8IMNL4eRE2IodoePuMAACAASURBVPHdwRVXkKQa6ssvvyQqKor09PQy5/NUZ7bGn5WVRaNGjViwYEGpFZ0lx61du5ZRo0ZZ1kJr3749H3zwgdU1r6S6pcBkYlXsB+R73YNboZEHx/rQ4a81cwVwRVEOCiG6WHuszp6eA3juvUS1Q5CkKrFr1y6GDx9eIwdMYHv8xfOZ2rdvX245yX6ZmZk8//zzREZGMn36dBRFQavVcvDgQTloktgwez75Xn+MMwoP0uGv1n+EU9PV6UGTJNUV8+bNUzsEh9gaf/GgqUOHDq4Mp84RQjB27Fjy8/NZs2aNZeHS8PBwVqxYQUBAAAMHDiQ0NFTlSCU1FJhM3DrmB17gVmjk4fG91Q7JZerkr+es+fqzzVyRv6KTpBotPT0dPz8/y0R7yTkWL15Mamoqc+bMISQkxLJ99uzZtGzZkvj4eI4fP65ihJKadm34iHx9i6I75jTa/aVql5mpSnV6ThPA7s2fcHLrTfJ1QegbfsvYN2vnIUVJkiRJcqZlkw1wtQMmTQM8TNdQCrJ48PmONX7QVN6cpjp/pKlD1/sp8CxaqM+UWXevRSdJkiRJtlo22UBh9v2YtH6gKBRoGlCoDeKbj7arHZpL1flBU+OAINzyixa6NGtC+b/z51SOSJIkSZKquasdMLuXXJ/L7K6Fq7V7PmGdHzQBaIKKVj02u2v5/P0PVY5GkiRJkqo3k6aBXdtrCzloAgb8fSzuBbkAFGZ6qxyNJEmSJFVvHvmlL+ME4Jn/exVHUrXkoAlo2CwQxVR0iq5Q25Zfz51WOSJJkiRJqr4KlZ9LbXMrNILfjypEU3XkoOkP2uA8oOgU3Zfvr1U5GkmSJEmqngpMJjwLg4ruCDMIgafxKu537eeZuQZVY3M1ubjlHwb8/Wk2Tj9MoYeegot3qR2OJEmSJFVLa5Nmk6/vCoBb4beMXz7jj0ei1QuqisgjTX/waxqAYvoZ94KbCCVX7XAkSZIkqdrJz83DdPZuANwLbvHo8/1VjqhqySNNt3lwQjeC2rTF2y9K7VAkSZIkqdpZO3M2+fruAAjlIK3DElSOqGpV6kiToij/oyiKUBQlydkBqene+7vh7ddQ7TAkSZIkqdrJvXmTwov3AOBhukH/l4eqHFHVs3vQpCjKk0CYC2KRJEmSJKma+m77V5jdi66cYfY8SPO296ocUdWza9CkKIovMB+Y5JpwqofUj9bzXtxMVr3+ltqhSJIk1ThGo5HY2FiCg4Px9vYmLCyMLVu2qB2W5KCej0cz+I0I3Nz38vi0GLXDUYW9R5r+CfwkhFjvimCqg9ybNzmdqke4d8d0rnavbCpJkuQKBQUFBAUF8fXXX3P9+nVmzZrFU089xcmTJ9UOTXJQk7uDGL/YQNPm96gdiipsHjQpivIAMBqY4Lpw1KevVw9RWLRol0nfhqP7vlU5IsmZVq9ejaIo7Ny50+ayZ8+edX1g1YitOaqr+ZEqVq9ePQwGAy1atMDNzY2+ffsSEhLCwYMH1Q5Nkhxi06BJURRPYCkwRwhx3IbyzyiKkqYoStrly5cdjbHK+d2nK/pDcePbf+1QNxipXHv27EFRFBRF4auvvir1uD2DpJrm7Nmzlr7feRs3bpza4dmkoKCAmTNn0rJlS3Q6HaGhoSQnJyOEUDu0Srtx4wYGg4GoqCiaNWuGoiiMGTPG7nbsyY2ryjrLlStXOHbsGO3bt3fZc9zO0T7aWt9Z+7q6WzoxgaUxs9i//Qu1Q1GdrUeaXgH0wJu2FBZCLBNCdBFCdGncuHGlg1PLoPHj8TQWXVfHPSdI5WgkW73++utObW/UqFHk5uYSHBzs1HadbeDAgaxZs6bErSoGTc7Iz/jx45kxYwaPPvooycnJ3HfffTz//PPMnDnTiZFWrStXrvDGG29w8OBBunTpUul27MmNq8o6Q0FBAaNHj2bYsGF06NDBJc9xJ0f7aGt9Z+3r6uzyxQyUnDAK9JEcXZ9NgcmkdkjqEkKUewOaA7nAU4DvbTcBzP7jb/ey6kdERIia6L2nE0Xys7tE8rO7xH++3Kp2OFIZdu/eLQARHh4uALF58+YSj69atUoAIjU11er9muzMmTMCENOnT3dqu1WVoyNHjghAvPTSSyW2R0dHC61WKy5evOjS53eVvLw8kZmZKYQQwmQyCUDExMTY1YY9uXFVWWcoLCwUI0aMEH369BFGo9GpbZfF0T7aU98Z+7q6e2/8DMtn4fsvJqgdTpUA0kQZYxpbjjTdA+iAtcDvt90AXv7j744OjNuqpaDu/pa/j249pGIkki1iY2Np3rw5CQkJNh2CN5lMvPrqqwQEBKDX63nooYc4dKjkfrY2Z6d42/bt20lKSiIoKAidTkf37t1JT08vUf/mzZu88sortGrVCp1OR+PGjenWrRsbN250Sp9vl5ubS26uc1eyryhHjuZnw4YNAEycOLHE9okTJ2I0Gvnss88c7sPx48fp378/vr6+aLVaIiIi+O677xxutzxarZbAwECH2rAnN64qa80nn3yCRqOhU6dO7N+/v8Rj8+bNQ1EUVqxYARR9IY+NjSUzM5NPP/0UjUZTYb+dwdE+2lPfGfu6Ort05iRuxs4AaPJ+Y6ThJZUjUp8tK4IfAXpa2b6booHUCqDW/STib6PHsOqbj8nX+eORVzd/JVCTaDQaXn/9deLi4tiwYQPDhw8vt/xrr72GEIKXX36Z7OxskpOT6dmzJ2lpabRp06bC54uPj0dRFCZNmkRubi5z5sxh0KBBnDhxAg+PorfVhAkTWL9+PePHj6djx45kZ2eTnp7Ovn37GDZsGABms5mrV6/a1EedTkf9+vVLbV+4cCFvvll05rx169a8+OKL/P3vf7epzfI4kiNb8pOWlkbTpk1Lnd6LjIzEzc3N4UnDO3fuZMCAAXTt2pXExEQuXbrE/Pnz6d+/P6dOncLX17dUHWfsD2ewJzeuKmtN+/btMRgMzJw5kylTprB3714AfvrpJ6ZPn05UVBSxsbFA0Smun3/+mdTUVLy8vCrss7Ny72gfXf26rEk+m7UWs+dDRXcan6Cej4+6AVUDFQ6ahBDXgD13blcUBeCcEKLUY7WBh6cnBZ4nAH/ydYHsWP8v+jz5lNphSeUYM2YM77zzDgaDgaFDh+Lu7l5m2ZycHNLT0y3/eAcPHkx4eDjx8fGWb5oV+fbbby0DgNDQUIYMGcKOHTvo168fAFu3biUuLo6FCxeW2cb58+dp2bKlTc8XExPD6tWrLffd3Nzo3bs3gwYNIjg4mIsXL7J8+XL+8Y9/cPbsWWbPnm1Tu2VxNEcV5efixYtWv6VrNBoaNmzIhQsXKh375cuXiY6OZuTIkSxdurT4/xWNGzdm8uTJbN26ldGjR5eq58j+cCZ7cuOqsta0a9eOdu3acfbsWdatW4cQApPJxMiRI6lfvz4pKSkAnDt3jqVLl6LVamnWrJml/rRp05g2bZrVtp2Ve0f76MrXZU1y9tiPKIUR4AGavIvEzJ+qdkjVgrz2XDnu7Xsvx7Z8j08HD3oMGK92OE712cnP2HKy/MXmQv1CeSXyFcv9Y1eP8c7371TY9qq/rSpx/+n/ebrc8gNbD2RQ60EVtlsRDw8PEhISGDVqFGvXriUmpuzF18aNG1fim2pYWBi9e/dm27ZtmM1m3NzKP3MdFxdnGRAA9OxZdDD21KlTlm0+Pj7s37+fjIwMgoKs/6DA39+f1NRUm/oXEBBQ4n7z5s1L/Spw3Lhx9OrVi3nz5vHcc8/RqlUrm9q2pqIclceW/OTm5nLXXXdZra/T6Rw63fjmm2+i0WiYP3++ZcAE0KtXLwAyMzOt1nNkfziTPblxVdnyREREkJKSwunTp0lJSeHIkSNs2rSJpk2bAhAcHGz3r/GclXtH++jK12VN8tXczZg9HgDAPfAMGr1O5Yiqh0oPmoQQSsWlarYejw+lx+NqR+EaF29cJO23NLvq5OTn2F0HqLDOX/z/YnebZRkxYgRvv/02iYmJjBgxosxybdu2tbotNTWVy5cvW/75l+XOQ/cNGhQthHr76YXZs2cTExNDcHAwnTp1onfv3jzxxBMlfmWj0+l45JFHbOqbLdzd3Xn55ZfZu3cvu3btcmjQVFGOymNLfvR6PUaj0Wr9vLw89Hq9vSFbbN68mYEDB1KvXr0S22/dugWAn5+f1XrO3h+VZU9uXFW2PB07Fk1jXbJkCfPnz2f06NE8/rhj/yydlXtH++jK12VN8cuRAygiAgBNbgajDa+qHFH1IY801VEB9QPo0rT8n8iG+oWWuO+t8a6wjjUV1Qmo77xv7G5ubhgMBoYNG8bKlSvRarVWy91+9KEyyjr1d/u366FDh9KjRw8+//xzdu7cycqVK5k7dy4Gg4EZM2YAUFhYWOEApJher8fHhjkFxQOWK1eu2NRuWRzJkS35CQgI4IcffihVJj8/n6ysrEofyfnll1/IyMggPDy81GPF81G6d+9uta4r9kdl2JMbV5UtT8eOHVEUhblz5xIUFMSiRYtsqlceZ+Xe0T666nVZk1w6ex4301UKPVqhaXkBD09PtUOqNuSgyUYFJhMHd/+b+/v8P7VDcYpBrQfZfUos1C+01Kk3W1SmjiOio6MJCwsjKSmJ+Ph4q2WOHTtWatvx48epX78+zlxbrEmTJsTGxhIbG8utW7fo168fiYmJTJkyBb1eT0ZGhtPn0BRfqqJJkyaOhO7yHEVERJCamsr58+dp3ry5ZfuBAwcwm81ERERUqt3Dhw8DWD0isH79ekJCQixHSu7kiv1RGfbkxlVly+Pt7c3dd99NZmYmq1evdsrg0Vm5d7SPrnpd1iQ9Bg3hwQFmNi9ewqDnpqgdTrUiB002WPrSGyjX7kUoHtzX/Sb6Ow75S9WLoigkJiYycOBAli1bZrXM8uXLeeGFFyynb9LT09m1axdDhgypcD6TLQoLC7lx40aJDxMvLy9CQ0Mt1+PS6/UOzeO4evVqqdNMeXl5vPXWW3h4eNCnTx+H+uDqHA0bNoxZs2axaNEi5syZY9m+aNEiNBoNgwZVbp5b8dIGu3fvLrE6c3JyMvv27WPdunVl1q3qOU0mk4lTp07h4+NTYsK0PblxVdnyfPHFF2RkZNCmTRvLPDFHOSv39vTRWv5d9bqsadzc3Ih+3vFf4dY2ctBki0KBSdsQgE+T32fEK5NVDkiqyIABA4iMjOT777+3+ri3tzfdunVjzJgxZGdn8+677+Ll5eW0VZFzcnIIDAxk8ODBhIWF4efnx+HDh1m+fDm9evXC379oHTBH5nFMnjyZ8+fP0717d4KCgvjtt9/48MMPOXHiBElJSSW+JUPRYLJHjx7s2bPHpvZdnaPOnTszduxY5s2bR05ODpGRkezYsYONGzeSkJBQ6oPR1vjT09Np06YNH3/8MRqNhs6dO/PNN9/w0UcfMXbsWJ588sky6zprXk1ycjLXrl2zTJg/evQoSUlJQNFr87777gPgwoULtGvXrtSRE3ty46qyZcnKyiIuLg6A06dPYzQayzwNbg9n5d6ePlrLv705snVf1wRXLmbg29hfno4rT1mrXjrrVlNXBL/dsYP7xeK47SL52V1iScw7aocj3aZ4RfCUlJRSj23fvl1QtHJ9qRXBt23bJqZOnSr8/f2FVqsVDzzwgDhw4ECJ+sVlz5w5U2qbtdWyAZGQkCCEEMJoNIqpU6eK8PBw4evrK/R6vQgJCRHx8fEiOzvbKX1ft26dePjhh0XTpk2Fp6en8PHxEQ8//LDYtGlTqbI5OTkCEMOHD6+wXVtz5Eh+iuXn5wuDwSCCg4OFRqMRISEhYuHChcJsNlc6/sDAQBEXFye2bNkiQkNDLe0uWLCgVLuuEhwcbHnt3XlbtWqVpVzxqu7WVpG2NTeuLGtNdHS08PDwEJMmTRKAOHTokM15qSq29rGs/NuTI1v3dU2wJOZtsWzUCrFm5ltqh6IqylkRXBEuvjBmly5dRFqa/b+4qm5SYj4gXx8EQuCRfxXF7yeemWtQOyxJssmXX35JVFQU6enpZc7nqc5sjT8rK4tGjRqxYMGCUis6S45bu3Yto0aNsqyF1r59ez744AOra15JNcvezzbx47a7EG7ueN46xjMfTlA7JNUoinJQCGH1F0yOT0yoA5ZNNmDS/nFZFUWhQNuQwuz7WTbZoGpckmSrXbt2MXz48Bo5YALb4y+ez9S+ffuqCKtOyczM5PnnnycyMpLp06fTtm1btFptnVohuzb7+dNzCLeiX736Pyhn7pRFZsYWVzsgtCXP8ZrdtbhfrZordkuSo+bNm6d2CA6xNf7iQVOHDvK96UxCCMaOHUt+fj5r1qyxLFwaHh7OihUrCAgIYODAgYSGhlbQklQdfblyJQW6orlXnrfSGRAnrzFXFnmkyQYmTQO7tkuSpI709HT8/PwsE+0l51i8eDGpqanMmTOHkJAQy/bZs2fTsmVL4uPjOX78uIoRSo648PUtUNxAFNIqqvavQ+UIOafJBsue/gSTtvQKwp7GqzyzKlqFiCRJkiTJcRvnL+Ly8aIjs+55aTy3Wl5jTs5pcpTfj7gVllxWXzGbwO9HlQKSJEmSJMcUmExcP1K0CKxiNhExMkzliKo/OWiywTNzDbjftR9P49WiX88Zs/Dw3id/PSdJkiTVWOvemUu+vuj6lEpBGn95pHZc8cKV5ERwG5UeIA1VIwxJkiRJcorwPg/zzfu7cVPu5aG/q3+h6ppADpokSZIkqQ7qENmVDpFd+S0zg6Z3B6kdTo0gB02VUGAy8el775N15BZ3P9CIx2Jj1Q5JkiRJkipFDphsJ+c0VUL6N3v4v/+2o1D7FzL+85va4UiSJEmSzbYsfZ/zx+UPmSpDDpoqIaLXo2hyTwLg5nYvN69fVzkiSZIkSapY1qUL/La/MV/98xTLXpyhdjg1jhw0VZK54a8AFHjexScLl6gcjSRJkiRVbOPMFEyaBhR4eiOEHALYS2askvo+Nwy3wnwA8k5pVI5GkiRJksqXceI4bsbOAHjm/cbIRHm5FHvJQVMlNW97L27G/wJg1txLxgl5CQFJkiSp+vrinxso8PQGwM3/JPV8fFSOqOaRgyYH6O7JA8DsruGrJR+pHI0kSZIkWffzwf0oIgIATW4GoxOmqBxRzSQHTQ54/MUJeJhyAFCuNFU5GkmSJEmybs/inRR6FF0yRdvqEhq9TuWIaiY5aHKAt68vwlx0ii5f35r0b79ROSJJkiT1GY1GYmNjCQ4Oxtvbm7CwMLZs2aJ2WHXWgZ3bER5F15/V3DrFiNcmqxxRzSUHTQ66+8EmuJn+Q+sHMgnr9qDa4UiSJKmuoKCAoKAgvv76a65fv86sWbN46qmnOHnypNqh1UlpH32PcPMEwDf8Fh6enipHVHPJQZODHhsby/gVM/h/o8aoHYpkg9WrV6MoCjt37rS57NmzZ10fWDVia47qan6kitWrVw+DwUCLFi1wc3Ojb9++hISEcPDgQbVDq5Ni5r+Eh9d/cM87wNAXJ6odTo0mB01SjbZnzx4URUFRFL766qtSj9szSKqJzp8/T2xsLC1btkSv13PPPffw7LPPkpGRoXZoNikoKGDmzJm0bNkSnU5HaGgoycnJCCHUDq3Sbty4gcFgICoqimbNmqEoCmPGjLG7HXty46qyznLlyhWOHTtG+/btXfYct3O0j7bWd9a+djUv7/o8O28Gz61+Re1Qaj4hhEtvERERoq74/fJlsXX5crXDqFN2794tAAEIa6+1VatWCUCkpqZavV+egoICkZubK8xms9PjdoYrV64If39/0aBBAzF9+nSRkpIiJk6cKHQ6nQgMDBTXrl2rVLu25sgZ+Rk3bpwARFxcnEhJSRFDhw4VgHjjjTcq3abazpw5IwDRrFkz8dhjjwlAxMTE2N2OPblxVVlnMJlMom/fvpXKQWU52kdb6ztrX0vVC5AmyhjTyEGTk7z/QoJYMnarWBL7ubhyMVPtcOqM4kFTeHi4AMTmzZtLPO7IoKm6W7x4sQDEli1bSmxfsGCBAMTGjRsr1W5V5ejIkSMCEC+99FKJ7dHR0UKr1YqLFy+69PldJS8vT2RmFv0PMJlMlfogtSc3rirrDIWFhWLEiBGiT58+wmg0OrXtsjjaR3vqO2Nfu4opP1+893Si+OrDlWqHUuOUN2iSp+ecxEOvUOhZj0IPLz5dsELtcOqc2NhYmjdvTkJCgk2H4E0mE6+++ioBAQHo9XoeeughDh06VKKMtTk7xdu2b99OUlISQUFB6HQ6unfvTnp6eon6N2/e5JVXXqFVq1bodDoaN25Mt27d2Lhxo1P6nJ2dDUBAQECJ7cX369Wr51D7FeXI0fxs2LABgIkTS86xmDhxIkajkc8++8yh+AGOHz9O//798fX1RavVEhERwXfffedwu+XRarUEBgY61IY9uXFVWWs++eQTNBoNnTp1Yv/+/SUemzdvHoqisGJF0f8/IQSxsbFkZmby6aefotFUzZUTHO2jPfWdsa9d5cM3/olZ051T/wlixatvqB1OreGhdgC1xaCJ4/j49UMUetTDfKmR2uHUORqNhtdff524uDg2bNjA8OHDyy3/2muvIYTg5ZdfJjs7m+TkZHr27ElaWhpt2rSp8Pni4+NRFIVJkyaRm5vLnDlzGDRoECdOnMDDo+htNWHCBNavX8/48ePp2LEj2dnZpKens2/fPoYNGwaA2Wzm6tWrNvVRp9NRv359y/1evXoB8PzzzzN37lyCg4P573//y/Tp0+natSt9+vSxqd2yOJIjW/KTlpZG06ZNCQ4OLlE3MjISNzc3hycN79y5kwEDBtC1a1cSExO5dOkS8+fPp3///pw6dQpfX99SdRzZH85kT25cVdaa9u3bYzAYmDlzJlOmTGHv3r0A/PTTT0yfPp2oqChiY2MBGD9+PD///DOpqal4eXlV2Gdn5d7RPrr6dVkVbl6/TmFmS9CBe2EuPZ4aoHZItYYcNDlJw2aBUPAheNyPSR/CwX+nEtHrUbXDqlPGjBnDO++8g8FgYOjQobi7u5dZNicnh/T0dMs/3sGDBxMeHk58fLzlm2ZFvv32W8sAIDQ0lCFDhrBjxw769esHwNatW4mLi2PhwoVltnH+/Hlatmxp0/PFxMSwevVqy/3IyEgWL17M9OnT6d69u2X7Y489xvr16y2xVZajOaooPxcvXrT6LV2j0dCwYUMuXLhQ6dgvX75MdHQ0I0eOZOnSpSiKAkDjxo2ZPHkyW7duZfTo0aXqObI/nMme3LiqrDXt2rWjXbt2nD17lnXr1iGEwGQyMXLkSOrXr09KSgoA586dY+nSpWi1Wpo1a2apP23aNKZNm2a1bWfl3tE+uvJ1WVXWvLCUQn3RukwI+PfqLbSe21ndoGoJOWhyIv9IHy4cBRQ3vt/4TbUeNF3b/CnXP/203DLadqH43/YPLu/nn/ntrbcrbDt4zYcl7p8bVfrD6XY+gwfj+/jgCtutiIeHBwkJCYwaNYq1a9cSExNTZtlx48aV+KYaFhZG79692bZtG2azGTe38s9cx8XFlRiU9OzZE4BTp05Ztvn4+LB//34yMjIICgqy2o6/vz+pqak29e/O03DF24qPKrVq1YqjR48ye/ZsoqKi2LZtG3q93qa2rakoR+WxJT+5ubncddddVuvrdDpyc3MrHfubb76JRqNh/vz5lgET/Hl0LjMz02o9R/eHs9iTG1eVLU9ERAQpKSmcPn2alJQUjhw5wqZNm2jatOjKCMHBwXb/Gs9ZuXe0j658XVaFJS/MwKzrYblf6FkPkX0/yyYbeGauQb3Aagk5aHKix+LiWBW3gXxdAB55IRSYTNV2ETHThQvcOnDArjqF2Tl21wEqrOMVGWl3m2UZMWIEb7/9NomJiYwYMaLMcm3btrW6LTU1lcuXL1v++ZflzkP3DRo0AChxemH27NnExMQQHBxMp06d6N27N0888QRdunSxlNHpdDzyyCM29e1Omzdv5oknnuDIkSOWn3IPGDCA8PBw+vfvz/vvv89LL1X+KuYV5ag8tuRHr9djNBqt1s/Ly3NowLd582YGDhxYal7XrVu3APDz87Naz5H94Uz25MZVZcvTsWNHAJYsWcL8+fMZPXo0jz/+uE11y+Ks3DvaR1e+LquCcvMv4KmU2GZ21+J+tYNKEdUuctDkRB6enhToT4IIIF/XlM+WLCX6hX+oHZZVnoGBeP3lL+WW0bYLLXHf/S7vCutYU1EdTydOpHRzc8NgMDBs2DBWrlyJVqu1Wu72ow+VUdapv9u/XQ8dOpQePXrw+eefs3PnTlauXMncuXMxGAzMmDEDgMLCwgoHIMX0ej0+t12VfOHChbRp06bU2jd9+/bFy8uLvXv3OjRociRHtuQnICCAH374oVSZ/Px8srKyKn0k55dffiEjI4Pw8PBSjxXPR7n9dObtHNkfzmRPblxVtjwdO3ZEURTmzp1LUFAQixYtsqleeZyVe0f76KrXZVU4duh7Cj2szx8zaRpUcTS1kxw0Odlfn+rJ/67JB8WdK4duqh1OmXwft/+UmK5du1Kn3mxRmTqOiI6OJiwsjKSkJOLj462WOXbsWKltx48fp379+jRu3NhpsTRp0oTY2FhiY2O5desW/fr1IzExkSlTpqDX68nIyKj0PI5ff/3VajkhBGazGZPJ5FDsrs5RREQEqampnD9/nubNm1u2HzhwALPZTERERKXaPXz4MIDVIwLr168nJCTEcqTkTo7sD2eyJzeuKlseb29v7r77bjIzM1m9erVTBo/Oyr2jfXTV67Iq7EneCZquVh/zzP+9iqOpneSgyck6PdCD75cloyjemH1vqR1OnaQoComJiQwcOJBly5ZZLbN8+XJeeOEFy+mb9PR0du3axZAhQyqcz2SLwsJCbty4UeLDxMvLi9DQUMv1uPR6vUPzOEJDQ/n888/Zv38/999/v2X7xo0bycvLK3EasDJcnaNhw4YxFTVuCQAAIABJREFUa9YsFi1axJw5cyzbFy1ahEajYdCgQZVqt3hpg927d5dYnTk5OZl9+/axbt26MutW9Zwmk8nEqVOn8PHxKTFh2p7cuKpseb744gsyMjJo06aNZZ6Yo5yVe3v6aC3/rnpdulqByQRmXdEdYQblz/eoW6ER/H4EotUJrhaRgyYXiHrjbzRt3hK3cn69JbnWgAEDiIyM5Pvvv7f6uLe3N926dWPMmDFkZ2fz7rvv4uXlxcyZM53y/Dk5OQQGBjJ48GDCwsLw8/Pj8OHDLF++nF69euHv7w84No/jlVde4auvvuLRRx9lwoQJ3HPPPRw9epRly5bRrFkzJkyYUKK8oij06NGDPXv22NS+q3PUuXNnxo4dy7x588jJySEyMpIdO3awceNGEhISSn0w2hp/eno6bdq04eOPP0aj0dC5c2e++eYbPvroI8aOHcuTTz5ZZl1nzatJTk7m2rVrlgnzR48eJSkpCSh6bd53330AXLhwgXbt2pU6cmJPblxVtixZWVnExcUBcPr0aYxGY5mnwe3hrNzb00dr+bc3R7bua1fz8PTkudWT+PT9ZVw8dAHP/I6YNA2KjjD5/SgngTtLWateOutWV1YEl9RRvCJ4SkpKqce2b99uucTKnSuCb9u2TUydOlX4+/sLrVYrHnjgAXHgwIES9YvLnjlzptQ2a6tlAyIhIUEIIYTRaBRTp04V4eHhwtfXV+j1ehESEiLi4+NFdna20/qfnp4uhgwZIpo3by48PT2Fv7+/GD16tDh37lyJcjk5OQIQw4cPr7BNW3PkSH6K5efnC4PBIIKDg4VGoxEhISFi4cKFpS7NYk/8gYGBIi4uTmzZskWEhoZa2l2wYEGVXRInODjY8tq787Zq1SpLueLLcFhbRdrW3LiyrDXR0dHCw8NDTJo0SQDi0KFDNuelqtjax7Lyb0+ObN3XUs1BOSuCK8KFF2kE6NKli0hLS3Ppc0iSVL4vv/ySqKgo0tPTy5zPU53ZGn9WVhaNGjViwYIFpVZ0lhy3du1aRo0aZVkLrX379nzwwQdW17ySqs6Na9eob2WxVqlyFEU5KISwOr9Bnp5zkQKTibVvzsF4ph5mr98ZvyRB7ZCkOmzXrl0MHz68Rg6YwPb4i+cz3fmLQslxmZmZPP/880RGRjJ9+nQURUGr1XLw4EE5aFLRv96eza3jQbg1Ocboma/iqdWpHVKtJgdNLmQ6czcF+kA88y6Tn5uHRi9fzJI65s2bp3YIDrE1/uJBU4cOck0aZxJCMHbsWPLz81mzZo1l4dLw8HBWrFhBQEAAAwcOJDQ0tIKWJGfKz83j1rHG5Oub4Pa7D8cPHaLDX7upHVatJi/Y6yIenp4U1j8JgEnbmE8WLVY5Ikmq/dLT0/Hz87NMtJecY/HixaSmpjJnzhxCQkIs22fPnk3Lli2Jj4/n+PHjKkZYN30w45/k64uXRTggB0xVQM5pcqET6WmkLs5CuHnikXuEZz+YpHZIkiRJUi2QdekCm6Z9i0nbEA9TNv1eCSEo5F61w6oVypvTJI80uVCbsC64G38CoFDbnl8O183BoyRJkuRcG99IwaRtWHTH67AcMFUROWhyMe92hQAIN092Lf9C5WgkSZKkmu7ng/tRCooOhGjyfmVkkjyLUVXkoMnFoic+j8ZYdD0lj5uti1ZtlSRJkqRK+jr535ZrzGlanKWei66BKJUmB00uptHrKPD8GYB8XQBbl6WoHJEkSZJUU/37k48xe/5xlOnWCZ6aPkXliOoWOWiqAl2feghEIYhC/u+/v6kdjiRJklRDdfxrNxS3fbgX3KLpgwoenp5qh1SnyF/PVZEVrxjo3Lc74Q8/qnYokiRJUg138ewpAlq0UjuMWqm8X8/JQZMkSZIkSdIf5JIDkiRJklSDbVr0Lmm7vlI7jDpPDpqq2Llj/2XJC2+wa+MGtUORJEmSaoCsSxfIOuzPgY9gyfgZaodTp8lBUxX65XAa2+aew5z/ICf+55Ta4UiSJEk1wMbEooUsze5a3DwUtcOp0+SgqQqFdO6Ch/E8AIrSgd8vy1/SSZIkSWU7duh7FJNcyLK6kIOmqtb0VwAKPOuzac4ylYORJEmSqrM97+6yLGTpGSwXslSbHDRVsccnjcPddAMAcamJytFIkiQ5n9FoJDY2luDgYLy9vQkLC2PLli1qh1Xj7N5820KWuScYGS8XslRbhYMmRVH+n6Io/1YU5VdFUYyKomQqirJRURR5dcBKaNgsEMw/AJDv1UZOCJckqdYpKCggKCiIr7/+muvXrzNr1iyeeuopTp48qXZoNcqJzy4i3NxBmGnaHbmQZTVgy5EmP+Ag8A+gD/Aa0B747v+3d+fhUVX3H8ffZ7ZsrBEEQVZlUdlBQFxQqQsuWFtExSoKguKv1ioC7kRErQsqKqIBEaoWca220ipSFRdEAQERRRBQUFQgbIYks53fH5NEApMwSWZyM8nn9Tzz4Nw5c+dz54T45dx7zzHGtEpgthrryDPbFP/3N//VL5GqNGvWLIwxvPPOOzG33bhxY+KDVSOxfke19fuRg8vIyCArK4vWrVvjcrkYOHAg7du3Z+nSpU5HSxpzH3qEQHpnADz5yxk06iqHEwnEUDRZa+dYa8daa1+21r5vrX0W+ANQFxic8IQ10O8uHIpv71oAjOnMti0/OJwoeb333nsYYzDG8J//HDiHSXmKpGT0/fffM2LECNq0aUNaWhpt27blqquuYtOmTU5Hi0kwGOSuu+6iTZs2pKam0rFjRx5//HESPeluosXjuMqzj0S1jZdt27bx9ddfc8wxxyTsM/ZV2WOM9f2//vorWVlZnHvuuRx22GEYY7j88svjcgw5q/IAcIX8dPuTTuxUG9bacj+ARoAF/nKwtj179rRyoOnjsuzjVy2wj1+1wGaPyXI6TtJ69913beHPoo32s/bMM89YwM6fPz/q87IEg0Gbl5dnw+Fw3HPHw7Zt22zTpk1tw4YN7a233mqnT59ur7vuOpuammqbN29ud+7cWaH9xvodxeP7ufLKKy1gR44caadPn24vuOACC9g777yzwvusDuJxXOXZR6LaxkMgELADBw60w4YNS8j+o6nsMcb6/g0bNljAHnbYYfacc86xQNyOM+D322cm3Gun/XlCXPYnsQOW2NLqn9JeOKAhuAEf0A54BdgCHHqw96loim7n1q32qUun2OwxE+z2n35wOk7SKiqaevToYQH76quvlni9MkVTdTd16lQL2Ndff73E9kceecQC9sUXX6zQfqvqO1q+fLkF7PXXX19i++DBg21KSor98ccfE/r5iRKP4yrPPhLVNh5CoZAdOnSoPf30021BQUFc912ayh5jed6fn59vN2/ebK2NFIfxLJrEOWUVTeW5e24xUAB8A3QBTrXW/hKtoTFmlDFmiTFmydatW8vxEbVH/UaNGPX3vzDywSwymzRzOk7SGzFiBC1btmTChAkxDcEHAgFuuukmmjVrRlpaGieddBLLli0r0SbaNTtF29566y0mTZpEixYtSE1N5fjjj2fFihUl3p+bm8v48eM54ogjSE1NpXHjxvTr148XX3wxLse8e/duAJo1K/nzU/Q8IyOjUvs/2HdU2e9n7tzITRDXXXddie3XXXcdBQUF/POf/6xUfoA1a9Zw9tln06BBA1JSUujZsyeffPJJpfdblngcV3n2kai20bz88sv4fD66devG4sWLS7z20EMPYYzh6aefBiL/IB8xYgSbN2/mtddew+fzHfS446Gyx1ie96ekpNC8efN4xJYk4SlH20uBekBb4EZgvjHmBGvtxv0bWmuzgWyILNgbh5wiZfL5fNx+++2MHDmSuXPnctFFF5XZ/uabb8Zay4033sju3bt5/PHHOeWUU1iyZAnt2rU76OfddtttGGO44YYbyMvL48EHH+T3v/89a9euxeOJ/LW65pprmDNnDqNHj6Zz587s3r2bFStWsGjRIoYMGQJAOBwmJycnpmNMTU2lTp06xc9PPfVUAK699lomT55Mq1atWL16Nbfeeit9+/bl9NNPj2m/panMdxTL97NkyRKaNGlCq1Yl7yfp3bs3Lper0hcNv/POOwwaNIi+ffsyceJEtmzZwsMPP8zZZ5/Nt99+S4MGDQ54T2X6o0g8jqs8+0hU22iOOeYYsrKyuOuuuxg7diwLFy4E4Msvv+TWW2/l3HPPZcSIEQCMHj2ar776ivnz55Oenn7QY47Hdw+VP8ZE/1yWZdF//sWqOT9Tt8suLrpxTMI+RyqhtCGosh5AA2An8OTB2ur0XGzeeWmu3bLxW6djJJ2i03PTp0+3gUDAHnnkkbZDhw42GAxaa0s/Pde2bVu7Z8+e4v0sX77culwuO2TIkOJtRW03bNhwwLZevXrZQCBQvP2VV16xgH3zzTeLtzVo0MBec801ZeYvuiYilke0Yf+pU6faBg0alGh3zjnnlDi28or1O6rs93PMMcfYHj16RM3QuHFje+aZZ1b4GH755Rdbv359O3LkyBLXXE2ePNkCdvbs2VHfV9n+iNdxlWcfiWpblpEjR9qMjAwbDodtQUGB7datm23UqJH96aefrLXWbty40QI2JSXFZmRkFD/uvvvuUvcZj+8+HsdY0ffH4/Tck5c9VHyt61tznqvwfqRyKOP0XHlGmvYttHYaY9YBR1bk/fKb5R++z6fTvyaQ1o51H/ydq6ZkVcnnfvXxFr5etKXMNo1a1OHEIe2Ln2/dtIcPX1x70H2fP6ZHieevTV5WSsuIjscdxlH9Djvofg/G4/EwYcIELr30Up577jmGDRtWatsrr7yyxL9Uu3btyoABA5g3bx7hcBiXq+wz1yNHjiweMQE45ZRTAPj229/WFKxfvz6LFy9m06ZNtGjRIup+mjZtyvz582M6vv1PwxVtKxpVOuKII1i5ciUPPPAA5557LvPmzSMtLS2mfUdzsO+oLLF8P3l5edSrVy/q+1NTU8nLy6tw9rvvvhufz8fDDz+MMb+t1VU0Ord58+ao76tsf0B8jqs8+0hU27L07NmT6dOns379eqZPn87y5ct55ZVXaNKkCQCtWrUq99148fjuofLHmMify7K89PAUgmldAfDkreD0i65PyOdI5VSoaDLGNAE6As/HN07t075rdz51R677cu1sQzAQqJIJzPZsz+PHtTvL9R7/3mC53wMc9D3N2x94mqSihg4dyr333svEiRMZOnRoqe06dOgQddv8+fPZunVr8S//0uw/dN+wYUOAEqcXHnjgAYYNG0arVq3o1q0bAwYM4MILL6RXr17FbVJTU/nd734X07Ht79VXX+XCCy9k+fLlxbdyDxo0iB49enD22Wfz5JNPcv31Ff/Fe7DvqCyxfD9paWkUFBREfX9+fn6lCr5XX32V884774Druvbu3QtAZmZm1PdVpj+KxOO4yrOPRLUtS+fOkfmDpk2bxsMPP8xll13GH/7wh5jeW5p4fPdQ+WNM5M9lafx5+excXh/SIlMMdLlI4xHV1UGLJmPMa8AyYCWwG2gPXA8EgckJTVcLpNetR8j9JXAi/rQW/Gv6dM6/5pqEf27dQ9Jo1q7sYqVRi5LXDPjSPQd9TzQHe0/dQ+L3S8jlcpGVlcWQIUOYOXMmKSkpUdvtO/pQEW63O+r2ff91fcEFF9C/f3/+9a9/8c477zBz5kwmT55MVlYWd9xxBwChUOigBUiRtLQ06u+z7tSUKVNo167dAXPfDBw4kPT0dBYuXFipoqky31Es30+zZs344osvDmjj9/vZvn17maMJZfnmm2/YtGkTPXr0OOC1outRjj/++KjvrUx/FInHcZVnH4lqW5bOnTtjjGHy5Mm0aNGCRx99NKb3lSUe3z1U/hgT9XNZllm33kcg7cTIE/sZxw28Pe6fIfERy0jTJ8AQYAyRKQc2Ae8B99ooF4FL+fUZ2o9FL4TAuPllcS4kvmbiqH7lPyXWuEXdA069xaIi76mMwYMH07VrVyZNmsRtt90Wtc3XX399wLY1a9ZQp04dGjduHLcshx56KCNGjGDEiBHs3buXs846i4kTJzJ27FjS0tLYtGkTbdq0OfiOgGHDhjFr1qzi5z/99FPUdtZawuEwgUCgUtkT/R317NmT+fPn8/3339OyZcvi7Z999hnhcJiePXtWaL+ff/45QNQRgTlz5tC+ffvikZL9VaY/isTjuMqzj0S1LUvdunU5/PDD2bx5M7NmzSq1gCmPeHz3UPljTNTPZWl+XL8OdnYGH3j8uzj3tovjun+Jr1hmBL/PWtvTWtvAWpture1grb1KBVP89DjlNLx5qwEI+zrz7aqVDidKbsYYJk6cyObNm8nOzo7aZsaMGeTm5hY/X7FiBQsWLGDgwIEHvZ4pFqFQiF27dpXYlp6eTseOHUu8VnQdRyyPcePGldhfx44dWbt27QG3fr/44ovk5+eXOA1YEYn+joruINx/lOLRRx/F5/Px+9//vkL7LZra4N133y2x/fHHH2fRokVkZWWV+t7K9EdFjisQCPD111+zZcuWCu8jUW3L8u9//5tNmzZx5JFHFl8nVlnx+O6h8t9/on4uS/P6Pf8g4IuMxpsGK2nWVqfmqrMKXdMk8ZfePo9dmyHs9vH2tFcZPbWL05GS2qBBg+jduzeffvpp1Nfr1q1Lv379uPzyy9m9ezePPfYY6enp3HXXXXH5/D179tC8eXPOP/98unbtSmZmJp9//jkzZszg1FNPpWnTpkDlruMYP348//nPfzjttNO45ppraNu2LStXriQ7O5vDDjuMa/Y7zWuMoX///rz33nsx7T/R31H37t0ZPnw4Dz30EHv27KF37968/fbbvPjii0yYMOGA0yCx5l+xYgXt2rXjpZdewufz0b17dz744ANeeOEFhg8fzsUXl/4v+XhcV1Oe4/rhhx846qijDhg5Kc8+EtW2NNu3b2fkyJEArF+/noKCglJPg5dHvK5pquz3X97v6PHHH2fnzp3FN0esXLmSSZMmAZHfQ126lP67fNF/54HpDYAv73uGPTy+0scvCVbabXXxemjKgdgU7M2z2Ze/EFlWZdg/bMDvdzpSUth3yoH9vfXWW8W3KO8/5cC8efPsuHHjbNOmTW1KSoo94YQT7GeffVbi/WXdUh9ttmzATpgwwVprbUFBgR03bpzt0aOHbdCggU1LS7Pt27e3t912m929e3fcjn/FihX2j3/8o23ZsqX1er22adOm9rLLLrPfffddiXZ79uyxgL3ooosOus9Yv6PKfD9F/H6/zcrKsq1atbI+n8+2b9/eTpky5YClWcqTv3nz5nbkyJH29ddftx07dize7yOPPFJlS+LEelxFt9lHu0091n0ksm00gwcPth6Px95www0WsMuWLYvtS6lClf3+y/MdtWrVqtSpEZ555pkyc3775Rf2iSvutlNHvm3nPvRIZQ9b4oQyphwwtpy3hZZXr1697JIlSxL6GTXFtNETCNv+ANRvsYQ/3Vr6ELRIebz55puce+65rFixotTreaqzWPNv376dRo0a8cgjjxwwo7NU3nPPPcell15KVlYWF1xwAccccwyzZ8/msssuczpaUlu+8D26nXSy0zGkkDFmqbU26vUNlb8wQeLmd1efizvwK968JRx6hKbml/hZsGABF110UVIWTBB7/qLrmfa/o1Aqb/PmzVx77bX07t2bW2+9lQ4dOpCSkpLQGbJrCxVMyUPXNFUj7br2ouFdm2jUbJDTUaSGeeihh5yOUCmx5i8qmjp16pTIOLWOtZbhw4fj9/t59tlniycu7dGjB08//TTNmjXjvPPOo2PHjg4nTQ6vPj6Vrif15Ygu8b0TTxJPI03VTKNm0WeOFpGDW7FiBZmZmcUX2kt8TJ06lfnz5/Pggw/Svv1vqwQ88MADtGnThttuu401a9Y4mDB5fL9mNVuXNeOdKZuZMTbL6ThSTrqmqRrLy80lGAhQN8rCoiIiknymDZ9E2NcPAG+dDxj14ASHE8n+yrqmSafnqqFpf52A2dOLkCcddzAXV4NljJqc5XQsERGphAUvzsF6iqYY2MAVj93icCIpL52eq2ayx2Rhc/sS8maAMYS8dQju7kP2mCyno4mISAUFAwG+/fcOrMsDNkyT44NVss6oxJeKpuompxPWXXKiOOtOgRxd2Coikqymj7qPQHrkQnlXyM9Pa7Yc5B1SHaloqmYCvobl2i4iItXbtL9OIOw7rvh52JNKSGcQkpKKpmrG698RdbunlO0iIlK9mT3HgjEltoV1BiEpqWiqbjJX4QoVHLg99EPVZxERkUoJBgKEPGlRX9MZhOSjoqmaGTU5C3e9xXgLcsBaTDgYecHTkl3btjkbTkREysXj9eLx50R9rbQzC1J9qWiqhkZNzmLUM4P5v6cG4KnzMQBBX31evO8Jh5OJiEh5mcwvDziD4AoVQOYqhxJJRaloqub+OHYknsAevAU5GBI7EamIiMSHPy+fYCAAHHgGwVuQg7veYs2/l4Q0I3gS+M/fn+HEQedTRzODi4gkhSf/PAH37ia0OrMOpw+9zOk4Ug5lzQiukaYkMPCyK1QwiYgkia+WLob8XvjTO/Ld2178eflOR5I4UdEkIiISR+8/9i4hTwYAnhbf4ktLdTiRxIvWnksib86ezaZ3t2I9eYyecbvTcUREZD+vP/UkoZTImR3v3q+59I7xDieSeNJIUxL5cUEBodQeGLrz4/p1TscREZF9+PPy+eXjFDAuTDhIm7MaaH25GkZFUxLxtPwZgJAnndcnP+dwGhER2dcz4/+GP60VACa0mNMuGupwIok3FU1J5KKbb8BXsBUA996jyMvNdTiRiIgAfPXZImxuDwC8BTmcf8clDieSRFDRlETSMjIIpa8GIJDSmBf+9rDDiUREBOD9qe8T8tYBwNPsK5q2autwIkkEFU1J5tzrL8Ed3AtA8PtDHU4jIiIAxw47Fk/eSrx7v+KyrJucjiMJoqIpyTQ/sj2ElwPgTzuSN7KfcjiRiIj0PGUAV83+K4Mf+KMu/q7BVDQloW5DuoINAbDloz0OpxERkSKZTZo6HUESSEVTEup75rl48yILPbpsqmabFRFxwPIP3+fJURPI+flHp6NIFVHRlKSOOLsJbfquZ+Tf/6zZZkVEHLB4+hJCrv68Mv591q1Y6nQcqQKaETxJDbhQ83+IiDjlH/dPJpjWHQAb3sqRXS92OJFUBY00iYiIlMOenTvJXR25dskVKqDLJUc6nEiqioqmJLd3z6/MGD+J7GGP8euunU7HERGp8Z676RH8qYdFnrgW0/eMs5wNJFVGRVOSe/aOBynY1Y9A2jHMmfSo03FERGq0z955C0J9APDl/8TQu//scCKpSiqaktwfxo7AE9gdefJLa4KBgLOBRERqsM///jVhdwoAGR1/oH6jRg4nkqqkoinJNW7WgrCraLLLw3nhvoccTiQiUjPNmnAPgfTOAHjyVjD0prEOJ5KqpqKpBvjdn8/BFSoAIO+b+g6nERGpmbxpKXj9ObiDe+kzsofTccQBKppqgHZde2GCnwPgT2/P60896XAiEZGa55KbxnBe1rE06rKRbif0dzqOOEBFUw3R7cLOmHBkaZWfPs5zOI2ISM3UpGUrBv9FF3/XViqaaoi+Z56Lu2AFAMHUzix8/TWHE4mIJL+83FxeeXSK0zGkmlDRVIMcfkpDANyhAr799AuH04iIJL9Z4x7gp9WdeWrY/WxYvcLpOOIwFU01yNmXjyCl3kLOuKEFV9x9h9NxRESS2tL/zccUHAuAcbUmo04DhxOJ07T2XA1z5f1ZTkcQEakRls5aTahwioHUtus5tOUQhxOJ0zTSJCIisp/952S67PabHE4k1YFGmmqoVYsX8UH2Akx6kKsfy3I6johI0vhx/Tr837eHFDQnk5SgkaYaatETawh7+2Fyu7J9yw9OxxERSRqvT5pLICUz8iT9M83JJMVUNNVQ9pCNAAR99Xnp7mxnw4iIJIk3pmcT9vYGwJe3geH33exwIqlOVDTVUEPv+Cvegm0AuHI7s2fnTocTiYhUfz+u2gKACYdofqoLX1qqw4mkOlHRVEPVadAAW/dLAAIpmfzjTk3OJiJyMFdPmUDLPptwpX7EWcOucDqOVDO6ELwGG3L7Nbw0/kMCvoaYnR3Iy80lLSPD6VgiItXaucOHOx1BqimNNNVgDRs3IZQamRk8kHIoz0+c7HAiEZHqJxgI8PXST52OIUlARVMNd/74y/AE9gBgf25LIN/vcCIRkerl6bGTeO+Jn8i+YQLBQMDpOFKNqWiq4Zq2akvY/XnkiQ3z5WcfORtIRKQa+fz9/2F/PZaQtw7s7MLP321wOpJUY7qmqRY464bBvPePfzL01hvxpuhOEBERgOwxWYR29yHsSQcgZL+i+ZF/dDiVVGfGWpvQD+jVq5ddsmRJQj9DRESkPLLHZBHcfRzW7S3e5goV4K63mFGTs5wLJo4zxiy11vaK9ppOz4mISK1jczqVKJgAwu4UyOnkUCJJBjo9V8u88vgTbP/MkNEhl0tuudHpOCIijgj6GkbdHihluwjEMNJkjBlsjHnFGPOdMSbPGLPGGHOvMaZuVQSU+Pnu69X8sqINgbQO7F3TUHeJiEit9Pw994MxUV/z+ndUcRpJJrGcnrsRCAG3AGcC04DRwHxjjE7vJZFWHY+GcOT6Mn9aG164/2GHE4mIVL1f1xSeZNnvml5XqAAyVzmQSJJFLEXPudbaIdba562171trHwH+AvQBTk5oOom7k685HVcoH4C8bw7RaJOI1DpXPHkNLu8HuPOX4i3IAWvxFuToInA5qArdPWeMOQpYDVxmrX22rLa6e676mTbiLsLe4wGod/hnXHrbeIcTiYiIVA+JuHuuf+GfX1Xw/eKgU645A3cwD4D8tY012iQiNd7OrT9TkJvrdAxJcuUumowxzYGJwDvW2qhDSMaYUcaYJcaYJVu3bq1sRokmuSGIAAAgAElEQVSzjj17Y+1SAPxprfnH37QmnYjUbHPGz+DZ0f/g3ZfnOB1Fkli5iiZjTB3gdSAIXFFaO2tttrW2l7W2V+PGjSsZURJhwLUDi0ebCtYdqtEmEamxXnp4CmFvHwrSj2DdG7ucjiNJLOaiyRiTCrwBtAXOsNZuTlgqSbj23Y7FshRsiDDbyNnyo9ORRETi7pfvv2PnyiZgXJhwgNZn1XM6kiSxmIomY4wXeAXoDZxlrf0ioamkSpz+13PBLMS42vLS3evIvuJlssdkOR1LRCRuXs16Hn/KoQAY9yJOu2iow4kkmcUyuaULeB4YAJxnrf0k4amkSix45nVcoX4EUjLBGAIpmYR291HhJCI1wtyHHiHk7Q2AL28Dlz841uFEkuxiWUZlKnABcDeQa4zpu89rm3WaLonldCKcklJiU9idgltrL4lIkvvl++/Y9UVTSHHhCvlpe3Y6aRkZTseSJBfL6bmBhX/eCiza73FlgnJJFShtjSWtvSQiye7VCc8TKDwth+cTBgy52NlAUiMcdKTJWtu6CnKIA7z+HZFTc/vx+HMcSCMiEh/frloJrsiIuS9vA396QqflJD60dlxtlrkqstbSfsLhjVWfRUQkTo7o1IW+VzTAk7dSp+Ukriq0jEp5aBmV6i17TBbkdIqckrNhcLnx+Hfxh0m9aNyshdPxREREqlQillGRGmLU5CxGPTOY/3tqAN46HwEQ9NXn5buedjiZiEj5/Pz9eqcjSA2nokmKXXrXWHz5PwFg/D347uvVDicSEYnNui8+5/UJS3lyxJ3sydnudBypoVQ0SbG0jAzczb4FIOStw7wHX3E4kYhIbBY8+C6BlEMIeU9k7n2POx1HaigVTVLCZXfehC/v+8gT04tVixc5G0hE5CBmjJtIMK0bAN69q7l80i0OJ5KaSkWTlODxeklr/wse/25c3kU0a93K6UgiIqVa+r/5BHO6A+AJ/ErvUZ3xeL0Op5KaKpYZwaWWuWjc9Wz/aRNNWvze6SgiIqUKBgIsm7WWUHpHALxNVtDthNsdTiU1mUaa5AAer5cmLdo6HUNEpEwzrp+Ev7Bg8uQtY/g9KpgksVQ0yUG9/89XeXvO807HEBEptuClOdiC4wDwFuRwxs1nOpxIagMVTVKmacPv5st5dfnuP3sJBgJOxxERAeCbd78h7PaBDVPnqO9o3VELjUviqWiSMhnAutz404/gubsecDqOiAgAo5+YQJ3mn+GyHzF03Bin40gtoQvBpUwDrjuDBY/9RMiTTuD71uTu2kVG/fpOxxIRYdjt452OILWMRpqkTO269sJ6I2sH+lOb8uxtDzucSERqq01r17BuxVKnY0gtpqJJDmrIHSPxFkSWJTB7u7Fp7RqHE4lIbTRv0hv875ENvPDAg05HkVpKRZMc1CGHNcccElmHLuitx7/vn+twIhGpbaaPnUgwrSeBlEx2f5FOOBRyOpLUQiqaJCbD7hr/2/IqHMuy9xY4mkdEao+P3nyD0I6eAHgCe+g98ihcbrfDqaQ2UtEkMfGlpZJx9DYAwu4UPn15ocOJRKQ2yN21i9VzfyHkSQMgpfmXdDvxFIdTSW2lokliNnT8jbj8H5HZdhlXP36n03FEpBb4+5hH8KdHVihw53/K5RO1GK84R1MOSLmMnqllCkSkarz08BTC7uMB8OVv4ff3XOJwIqntNNIkIiLVzvovV7JjZTMwLkw4QLOTCmjcrIXTsaSWU9EkFRIOh5mV9Teyhz3FT9+tdzqOiNQwm9dvAFsAgPEu4uzhwx1OJKLTc1JBz951P7k/9YY0eG3S84yertN2IlJ52WOyIKcTAV9DPMaPK28pI2fc6nQsEUAjTVJBF4/7a4kpCBb9d56jeUQk+WWPySK0uw+BlEwwhmDKIeDrxMyb7nY6mgigokkqyJeWSr2uOwEIu32snPONw4lEJNnZnGMIu1NKbAu7UyCnk0OJREpS0SQVduENf8WzdzkAwbQuzJ2sdelEpOKCvsyo2wO+hlWcRCQ6FU1SKV0v6Ygr5Adg98pM8nJzHU4kIslo+pgsMCbqa17/jqoNI1IKFU1SKX3POAv4FAB/Wgtmj7/f2UAiknTemfsPgrv7RJ5YW+I1V6gAMlc5kErkQCqapNIG33kF3oLIEivkH8uKjz9wNpCIJI2tP25iw7xQ8bVMJvAx3oIcsBZvQQ7ueosZNTnL2ZAihTTlgFRa42YtSGn5LKEf6wFLaN56hNORRCRJvHLL84TSegPgCnwUZdWBwVUfSqQUKpokLobdeQufv/8/uvfPcjqKiCSJGeMmEko9AQBf3nqGPvoXhxOJlE2n5yRuuvc/1ekIIpIkln/wHsGcngC4A7/S5U/NyKhf3+FUImVT0SQJsXzhe8ye+DenY4hINdWp7/GQsQQTDpDWYhV9TjvL6UgiB2XsfncqxFuvXr3skiVLEvoZUr1Mv3EioZ09scbQ+2IvPU89zelIIlJNLX1vAT1PHuB0DJFixpil1tpe0V7TSJPEXVrDVEKeNMLuVJbM1q3CIvKbQEF+iecqmCSZqGiSuPvTrePw7l0BQDCtK8/drbmbRARenTqV2aNe4H8vz3E6ikiFqGiShOgx7Ghcoci/KPeua8Uvmzc5nEhEnPTV0sVsW9qEgrSWrP1POt+vWe10JJFyU9EkCdFrwBkY72IAAimNeWXCbIcTiYhT8nJz+XDKMgKFa8uFU5fRssPRDqcSKT8VTZIwwx4Yhy9vIwBhTx/emJ7tbCARccSs6ybjT+8AgCdvBSMfuc3hRCIVo6JJEiYtI4Pmp1hMOATGzc8fppC7a5fTsUSkCs3Ouoewp3ACy/yfOHfCuXi8XodTiVSMiiZJqLMuH4EJfRJ5Yveyad0aZwOJSJX58I3XyNvcBQBXKJ/WZ0Kztkc6nEqk4lQ0ScJdcNflpNRdyBVPX0nHnr2djiMiVWDLhnV89cqvhDzpAPgaLeG0i4Y6nEqkcrT2nCRco2YtCIdh5qjXCfga4vXvgMxVWrlcpAZb/dlSrDtSMLn8ixhx7x0OJxKpPI00ScJlj8kitLsPgZRMMIZASibB3X3JHpPldDQRSZABQy7kuKua4Qp8zGUP/9npOCJxoZEmSbycToRTUkpssm4fNqeTQ4FEpCp07nMcnfsc53QMkbjRSJMkXMDXMOr2oK8hwUCgitOISKIseHEOM2++0+kYIgmjokkSzuvfEf0FY5h1271VG0ZEEmLj16tYPw/ydpzItCvvJBwKOR1JJO5UNEniZa7CFSoouc1aAILburP84w8cCCUi8VKQm8vb97yHP7VJ4RaDy+12MpJIQqhokoQbNTkLd73FeAtywFq8BTm4CiJzN4W8GXz65Oc6TSeSxGZe9xCB9MiyKN69qxnx2DiHE4kkhrGF/+JPlF69etklS5Yk9DMkOWVf9jCB9K4A+Op+wMgHJjicSETKa/rYO/HvORGIzPh9xs3dtK6cJDVjzFJrba9or2mkSRxz4nX98AR2AxDa0YPlH7zrcCIRKY+XpzxGYFdfANzBvbQ9262CSWo0FU3imKN69sHb9AsATDjE2iXLHU4kIrFaNO8Ntq9sgXV5wYaoe8RXDLjgQqdjiSSUiiZx1PC7b8fjeZ/+o5twwfXXOx1HRGK0/OVVBL31APCkfsQlN491OJFI4umaJhERKbe83FxmXTsFg+Xqmbc6HUckbsq6pkkzgku188rUJzjzT5eQUb++01FEpBRpGRmMnnmL7nyVWkVFk1QbO7dtY874pwh7+vD3G6cweroW+BSpLrLHZBHe0ZWQt16JRbc9Xq/T0USqTEzXNBljDjfGPGaMWWSM2WuMscaY1omNJrVN0J+HJ9QKjIuwqx8vT3nM6UgiQqRgCu7uS8hXv3jR7dDuPlp0W2qdWC8EPxIYAuwANH2zJESjZi047KQCTDgAxkXO8kPZtHaN07FEaj27owvW7SuxLexOAS26LbVMrEXTQmttE2vtWcBLiQwktds5w0fgcn8MQCClMfMmveFwIpHabfH8eQS90a8vLG0xbpGaKqaiyVobTnQQkSLDH7oZ395vAAim9WTG+IkOJxKpndZ/uZKVz+eAMVFfL3UxbpEaSvM0SbXjS0ul+7A2uAO/AhDc3pP3//mKw6lEapcdW39mwX2f4E9tFtkQDpZ43RUqgMxVDiQTcU5CiiZjzChjzBJjzJKtW7cm4iOkhus14AzSDo/MFh7ypPHNa7+yY+vPDqcSqR38efm8eOPz+NOPBMC7dxXujI9KLLrtrreYUZOznA0qUsUSMuWAtTYbyIbI5JaJ+Ayp+YbdeStPDr+bkO84Qu5NeNyaIUOkKrwx42mCqV0A8OVt4Pd/O5/GzVrs12pw1QcTcZhOz0m1dvH9V5HZZilXz7yNupmHOB1HpFYYfO3/kdHkM3z5P3DCXzpFKZhEaqdyL6NijLkSmA60sdZuPFh7LaMiIpKc8vPySU1LdTqGSJUqaxkVjTRJUlnz+RKmjZjErm3bnI4iUqO88MBkFr72YoltKphESoq5aDLGDDbGDAZ6Fm4aWLitf2KiiZS04MW5vP/Yd4S9/ZgzdrrTcURqjNeeeIId3xzFV//y8uZM/d0SKU15RppeKnxcXfj8icLnd8Y7lEg03U48ARPaA0AopQ/Tx+pHT6Sy3p7zPL8sPZywO5Wgty4/rd3idCSRaivmoslaa0p5nJzAfCLFDjmsOZ0uzMRTNH/Tzj68OXOmw6lEktcnb81j4/xUgt46ALh9HzLiXi2ULVIaXdMkSeW4swaR0WY12DBht48fPshg/ZcrnY4lknS+/ORjvpizq3gpFFf4A65+LMvZUCLVnIomSTp/uu0mXPZDILI+3Tv3LcSfl+9wKpHk8d3Xq/h42lr8qU0AcPk/YeTUWxxOJVL9qWiSpDRiyk1490aWcAikH83Tf7nP4UQiyeHH9et4+55P8KdF5l7y5C1jxNQb8Hi9DicTqf5UNElS8qWlcvotp+LLjyytYsLdWffF5w6nEqn+1n+1GuuJnJLz7l3Fnx4diU9TC4jEREWTJK3WHTvRYkABvrzvaXf6rxzZubvTkUSqvRPOHsTRf/Tizv+MCyZfSEb9+k5HEkka5Z4RvLw0I7gkWqAgH2+K/qUsUppwKITL7XY6hkhS0IzgUqPtXzC9np2tGcNFCuXu2sWMK6bw9Lgsp6OIJD0VTVKjPHXDRH5Y0po5Nz5DMBBwOo6Io/Jyc3nuL08TSO9G/q4TmH3HJKcjiSQ1j9MBROIld9cuXNsPJ5jmIZTak6f+vBCvfwdkrmLU5Cyn44lUqdxdu3juLzMIpkWu9fPl/8CJFw5yOJVIctNIk9QYGfXr48/YAEXX6RlDICWT0O4+ZI/JcjSbSFXas3Mnz1379D4F04+cdN1RtD2mi8PJRJKbiiapUbx5XcGYEtvC7hTI6eRQIpGqtWvbNub8ZTbB9G4A+PI2c8K17ejQo7fDyUSSn07PSY1StCRErNtFapIdW3/mpTFzCaR3BsCX9z0n39CJdl2j3ggkIuWkkSapUbz+HVG3Gxvmq6WLqziNSNV64danCKRHRlV9eRsZMK6HCiaRONJIk9Qsmatw7e4TOSW3D+ty8/5jCzhqVh+HgonEX/aYLMjpRMDXMPIPhvohvDu+weDljFuOo2WHo52OKFKjaKRJapRRk7Nw11uMtyAHrMVTsB3f3vV4965k8D2XOh1PJG6yx2QR2t2HQEpm8U0P5PYl1HALA+84SQWTSAJopElqnP2nF9iTsx1fSiopGRnOBBJJhJxOhFNKjqiG3Sl4d3Xm8CPaORRKpGbTSJPUeHUzDylRMPnz8nnm9ns0+aUkNd30IFL1VDRJrZK7axfPXD2VvVv7Mv3/7nE6jkiFzH/hH0A46mul3QwhIpWnoklqlW9WLMW4WwMQdp3ItP/LcjSPSHm9/uQ01s/PAHPgAryuUAFkrnIglUjtoKJJapXuJ51Km9ML8AT2ABAOncRTN9zpcCqR2Pzjbw+wZUlLgt66AHj2rsRTsB2sxVuQg7veYi0ZJJJAxhYtOZEgvXr1skuWLEnoZ4iU1xvTs/lxcTNCnnSwYVIzFzHi3tudjiVSquk3ZhHY3Q/r8oAN4/Z9yNWPZTkdS6TGMcYstdZGneBMI01SKw0aOYpDjvk2cjrDuMjP6cuMm+5yOpZIVP997ln8v56EdXkw4QAp9T9WwSTiABVNUmtdcP111Gu7ClfID8ZNwY6+zBg/0elYIgc480+XYsIf4Q7upWG7VVx5/x1ORxKplVQ0Sa12yc1jqdf2i+LCKbgr6HQkkahGTb2JXhencPHYMU5HEam1VDRJrXfJzWOpf8QXuMx7XP2kRprEeUsWvEX2ZY/wxaIPird5vF56DTjNwVQiohnBRYChN409YNuOrT/TsHETB9JIbfbqY1PZ+nkzguld+OTJdRzavDlNWrZ1OpaIoKJJJKqvl33KB4+uJZixltFTs5yOI7XE9BvvJLC7L9bnBSBkfqZO/UMcTiUiRXR6TiSKhY8sw596GOHQSUwbOVFLrkhC5eXmMm34Xfh/PRHr8oIN4fYu5OpZN5FRv77T8USkkIomkSianuj6bQJM9wnMGPUg/rx8h1NJTfT9mtU8O/oZwr7jAXAHc2nQZqWmFBCphlQ0iUQxaOQojjwzH29BDgChlD48c/VUduVoXS+JnwUvzeWte5cTSD8aAF/+Txx1jp9LbtIdciLVkYomkVIMuOBCug5Nx5f/EwDBtO68+Ne5bPxaa3tJfKTVqUvIE1kSxbv3K06/qRv9f/9Hh1OJSGlUNImUoc9pZ3H8NW3w5X0HgD+9PfP/tpxP3prncDKpCfoNPIu0Vl/hCn7EpdMup1XHo52OJCJl0N1zIgdxdO/jyGzShDdu/zeB9E6EPA3J2bLF6ViShJa9O5/P//sxI+6bULxt2O3jHEwkIuWhBXtFYpSXm8vsa6dQ9wgXl9x6EwDZY7IgpxMBX0O8/h2QuUqrzEtUz99zH7+u60DIk0Gj9l8w5MYbnI4kIlGUtWCvRppEYpSWkcHVM28pfp49JovQ7j6EU1IACKRk4trdh+wxWSqcarH9C+lw/S9gt5eQrx/4Im22f5XraEYRqRgVTSIVldOpuGAqEnan4M7p5FAgcVq0Qpq8E8EXuXzUFSrAVfdTrnpoQlm7EZFqSkWTSAUFfA3LtV1qgSiFNCZSMPnyNtH27FQGDFHBJJKsVDSJVJDXvyMykrAfT3CPA2mkOii1YLaWCyafTYNGjao2kIjElaYcEKmozFW4QgUHbA566zFtxF3s2bnTgVDiJK8/+uSnXv8OFUwiNYCKJpEKGjU5C3e9xZFZw63FHdiDCUXWqAt7j+eF615h8XzN51QbFK9NGKWQdoUKIFMToorUBJpyQCSOFrw0l/X/LsCfdjgA7vxFXD3rVodTSSLNzroX//omDBjfnbbHdNc0FCJJrqwpB1Q0icTZ1h838cotz+O2zfn93SfR+PBWTkeSBFj+wbt8On05gfSuAHjzljBqtiaqFEl2mqdJpAo1btaCq2fdxA/rvilRMK37YgWfv/MeF1x/nYPppLL8efk8M+5ebN6xhAoLJncwD9twr8PJRCTRVDSJJEjzI9uXeL7gwf8RTO3MtOGTGHL3FRxyWHOHkklF/Xvm02x53xBM61/829OTt5JeV3Sm58lZjmYTkcRT0SRSBd5//TXCvqPAuAj7+vHqzQvJOPpHho4b43Q0iUHRKddQSi9Ii9w/4y3IwddqLZdn3exwOhGpKrp7TqQK9D/vfI44ZSu+vO8B8Kc2Ycf67jw17AHWrtA1f9Vdg0Oa4rZNIhNV2hAu/8cMyuqhgkmkllHRJFJFTh96KUMfPR+XWVh8W3owrSf/e/QHpt9452+3rYvjgoEAP6z7pvi5N8VL5rF5+Pauoe3xPzJ65m00bdXWwYQi4gTdPSfigI/efIPVczfhTz+qeJvb/zFXz7zNwVQC8NIjU9i5LA2AK56+Ao/X63AiEalKZd09p5EmEQccf/Ygrnh6FCn1P8Tj34UJhzjidy2djlWr/WvGdLIve5xfvu6MP/1I/OlHMvuOe5yOJSLViC4EF3GIx+vlyvvuYNPaNSx47mVOG/rbJJi7cnbwj5un8LtrzqFd16j/4JFyKm3SyXmzn2HT/3YSTOsK6ZG2JhzABJdw3B/PdDSziFQvOj0nUg09ed2dhApOjMz/Y5Zw9o0X8N/sFzXTdAVlj8kitLsPYXdK8TYT8uP1/4w/rcVvDW0Id8Eyev6pG8f+7gwHkoqI03R6TiTJmJ0NAAh50gi7T+TNBzcS3NOPQEomGEMgJZPQ7j6R0RM5uJxOJQomAOv2/VYw2TCevOUcc8ZOrp41XgWTiESlokmkGhox4xrqNP0EX94mAMLuVKyr5Nn0sDsFcjo5ES/pBHwNo79gLe78z+g0cBdXzb6Bk/9wQdUGE5GkomuaRKohj9fLsKxb8Ofl89xdD5C3vR8Yc0C7UosBAeDtF55n/X+/h5RjgQO/P48/h6tmja/6YCKSlFQ0iVRjvrRUht9zO09d8RLBlEMOeN3r31H839u3/KClWYANq1fy9pOv4NrVEn9aG0g9LGo7V6gAk/kloNElEYmNiiaRJGAyv8S134XMrlABZK4CBvPO3BdYN78OBJ+lYZdUzh99Nb60VOcCO+DZiX8jb52PUMrRhN39Ie2317x5awi6t+O2HQj6MnUhvYhUSExFkzGmBfAwcBqRMe53gL9aa79PYDYRKTRqchbZY7Jwl3L33Nq31hP29QVPb7Z9A7P+79+E+JrmfRtz1hXDa8UEjXnrGhBI/22RZI9/J2Gzmg4DO3Dq4NFR3jG46sKJSI1w0KLJGJMO/A8oAIYBFpgEvGuM6WKtzU1sRBEBooyK/PY//Tpt3eR98xWBtA5gXAR8mUA/Ni2DmYv+Sdh+S4NOPi668YaDfk5p8xklQnk+KxgIsPD1V/nm3dW49jTGNNrKyIfuLH493PBnXHtb4/KvJqNdgD9e/2fSMv6QkNwiUjsddJ4mY8x1wENAB2vtusJtbYC1wDhr7UNlvV/zNIlUnVWLPubD59/CvacF/rSSa6Ptv0zL6iWLOaxVaxo2blK8Ldp8Rq5QAe56i+NeOB3ss4KBAB/865+s/fBLwjlpuExbAvtc1+Xb+xUj//5/xc9/3PgtoUCQFu06xDWniNQuZc3TFMvpuUHAJ0UFE4C1doMx5iPgPCIFlYhUA52O60en4/oBsHj+PJa99imeX5sSSG1L/Q4lr3Fa+PgHWO8OPAWbCHl+xp0ZxO7oQthXcj6jsDsFdyKmNsjpRDgl+mc99dc7YU83gt5DgJMgFUL7tPP4dxFy/UowECg+9dis9RHxzygiso9YiqZjgNejbNdtJyLVWJ/TzqLPaWcB8P3aNRxyaJ8Sr7vM4QTcPvzpRwBHEPoV8EXfV9HUBpu/XUvd+g2p36hRubLs2raNDV99wY/rN5Kz6Rd+/WUvId9JpX5WSpqbgvy6v2UNFeAu+I5Qxk+0Pq4Np108tFZcpyUi1UssRVMmsCPK9hwg6iQxxphRwCiAli21CKmI01rud8oqGAjgOvQb3D9vxE1zAr6mWJe71PcXTW3w5sQ3CKZ1xx3MwxXai7EBsEEi40AhsBCqu4mrp/52rdG0UXcSdp1Y+KxV4YNo0yYVf1bPM0/g05nLsHV306xrMwYMuZCM+gMrdvAiInES65QD0S58KuVXHlhrs4FsiFzTVIFcIpJARYsFF9mx9Wc+euPfbFq4lXBKD9hn9vF9pzYwRE7xhTxphDxp++8WAPfen0tu8FLy3FoRGwZMiUk7iz6re/8suvc/uWIHJyKSILEUTTuIjDbtryHRR6BEJMk0bNyEc0aMgBFl39HmOXwHoV8+wAS9mLAPYz2AC4MbcINxEarjL7Hvw7ocxpYlH2JSw3jruEhrmEGrY9rR7YT+PD/xYS1CLCJJI5a75/4H+Ky1J+y3/b3C9/cv6/26e05ERESSRVl3z8WyYO8bQF9jTPH9y8aY1sDxha+JiIiI1HixFE3TgY3A68aY84wxg4jcTbcJeCqB2URERESqjYMWTYUzfp8KfAM8CzwPbABOtdb+mth4IiIiItVDTHfPFa4x98cEZxERERGptmI5PSciIiJS66loEhEREYmBiiYRERGRGKhoEhEREYmBiiYRERGRGKhoEhEREYmBiiYRERGRGKhoEhEREYmBiiYRERGRGKhoEhEREYmBiiYRERGRGBhrbWI/wJitwHcJ/ZCIRsC2KvgcSQz1X/JTHyY/9WHyUx9WXitrbeNoLyS8aKoqxpgl1tpeTueQilH/JT/1YfJTHyY/9WFi6fSciIiISAxUNImIiIjEoCYVTdlOB5BKUf8lP/Vh8lMfJj/1YQLVmGuaRERERBKpJo00iYiIiCSMiiYRERGRGCRN0WSMOd4Y87Yx5hdjzG5jzDJjzPD92jQ0xswwxmwzxuQaY94xxnR2KrP8xhhzijHmQ2NMnjEmxxjzrDGmSZR26sNqwBhzuDHmMWPMImPMXmOMNca0jtIupv4yxqQaYx4wxmwp/BlYZIw5qSqOpTaKpf+MMXWNMQ8aY94r/J1qjTEnl7I/9V8Vi7EPBxhjnjPGfFvYL98aY6YZYw6Nsj/1YRwkRdFkjOkCvAN4gZHAH4HPgKeNMaML2xjgDeBM4NrCNl7gXWPM4U7klghjzInA28BOIv1yHXASsMAYk7JPO/Vh9XEkMATYAXwQrUE5++tpIn937wDOAbYAbxljuiUkvRy0/4BDgOFAEJh/kP2p/6peLH14NZF+nETk7+G9wCDgE2NMnf3aqg/jwVpb7R/APYAfqLPf9k+ARYX/fR5ggVP2eb0+kAM86vQx1OYHkYJ3HeDZZ9uxhf11zT7b1IfV5AG49vnvKwv7pfV+bWLqL6BrYbsr9tnmAdYAbzh9rDXxEWP/mX3++3eFbU6OshcBWOkAAAP2SURBVC/1X/Xtw8ZR3ndSYdvh6sP4P5JipAnwAQEgb7/tO/lttGwQ8KO19t2iF621u4B/EfnlLs7pC8y31gaLNlhrPwO2A+fv0059WE1Ya8MxNIu1vwYR+fs7d592QeAF4Ix9RxslPmLpP1v4f84YqP8cEGMfbo2y+bPCP5vvs019GCfJUjTNKvzzUWNMM2NMA2PMSGAA8HDha8cAq6K890ugZZShSqk6ISIjhfsrADrt81x9mFxi7a9jgA3W2r1R2vmInIaQ6kv9l1z6F/751T7b1IdxkhRFk7V2FXAykX+9/kDkHO9U4Gpr7QuFzTILt+8vp/DPhgmOKaVbQ2S0qZgxphVwGJF+K6I+TC6x9tfB2mVGeU2qD/VfkjDG1AUeIVIw/XOfl9SHcZIURZMxph3wCpGq+Fwi59+fBJ40xlxS1IzIOdsD3l4lIaUsU4DexphJxphDjTEdgWeBcOGjiPowucTaX+rX5Kb+SwLGGA8wh8hpuYv2vRwC9WHceJwOEKN7iJyPPcdaGyjctsAYcwgwxRgzh0jFHK1aLvrXbrQqW6qAtfb5wkLpRuBWIn955wLzKHl6Tn2YXGLtrxygZRntcqK8JtWH+q+aM8a4gNlEBhTOttau3K+J+jBOkmKkCegMrNinYCryKZHbLQ8lMgp1TJT3Hg18b639NbERpSzW2tuBRkAX4DBr7cVAO+DDfZqpD5NLrP31JdDGGJMepZ2fyJ2VUn2p/6q/J4ELiYwwLYjyuvowTpKlaPoJ6GaM8e23vQ+QT6RKfgNobowpuggOY0w9Iqfz3qiqoFI6a22utfYLa+3PxpgzgY5E/rIXUR8ml1j76w0i8zddsE87D5Ff8m9bawuqJq5UkPqvGjPGTCYyJcEV1tp/ltJMfRgnyXJ67nHgJeBfxpgniEw9MAi4GHjYWus3xrwBLAKeM8aMJXJq4GYi52zvdya2ABhjugMDgWWFm04AxgL3W2s/3qep+rAaMcYMLvzPnoV/DjTGbAW2WmvfJ8b+stYuN8bMBR4xxniBDcBooA1QdE2ixFkM/YcxZiCQQWQ0H6C/MaYRkGut/Q+o/5x0sD40xowHbgBmAmuNMfvecLPVWvstqA/jyumJomJ9EPmf7nvAVmAPsBy4BnDv0yaTyA9PDrAXWAB0dTp7bX8QOYXzIZF5tfKIFE9XlNJWfVhNHkSuPYv2eK+8/QWkAQ8RGTXOBxYTZSJFPaq8/zaW0maj+s/5x8H6sPD/iaW1maU+jP/DFH6ZIiIiIlKGZLmmSURERMRRKppEREREYqCiSURERCQGKppEREREYqCiSURERCQGKppEREREYqCiSURERCQGKppEREREYvD/j482SRlRbq4AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 720x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Compare different correlation values\n",
    "addProfileBin(nBins=1, iPOI=0, rho=-1.00, color='tab:orange')\n",
    "addProfileBin(nBins=5, iPOI=0, rho= 0.00, color='tab:blue')\n",
    "addProfileBin(nBins=5, iPOI=0, rho= 1.00, color='tab:green')\n",
    "addProfileBin(nBins=8, iPOI=0, rho= 1.00, color='tab:red')\n",
    "addProfileBin(nBins=8, iPOI=0, rho= 0.00, color='tab:purple')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x504 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Compare different correlation values\n",
    "colors = ['tab:blue', 'tab:green', 'tab:red', 'tab:orange', 'tab:purple'] * 10\n",
    "plt.figure(figsize=(15, 7))\n",
    "plt.subplot(1, 2, 1)\n",
    "for r, c in zip(np.linspace(-1, 1, 5), colors):\n",
    "    addProfileBin(1, iPOI=0, rho=r, color=c)\n",
    "    \n",
    "plt.subplot(1, 2, 2)\n",
    "for r, c in zip(np.linspace(-1, 1, 5), colors):\n",
    "    addProfileBin(1, iPOI=1, rho=r, color=c)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Compare different correlation values\n",
    "addProfileBin(1, iPOI=0, rho= 0.00, color='tab:blue')\n",
    "addProfileBin(1, iPOI=0, rho= 0.99, color='tab:green')\n",
    "addProfileBin(1, iPOI=0, rho= 0.995, color='tab:orange')\n",
    "addProfileBin(1, iPOI=0, rho= 1.00, color='tab:red')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "ename": "TypeError",
     "evalue": "minimize() missing 2 required positional arguments: 'fun' and 'x0'",
     "output_type": "error",
     "traceback": [
      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[0;31mTypeError\u001b[0m                                 Traceback (most recent call last)",
      "\u001b[0;32m<ipython-input-25-e81d47df1b38>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[1;32m      1\u001b[0m \u001b[0;32mimport\u001b[0m \u001b[0miminuit\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 2\u001b[0;31m \u001b[0miminuit\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mminimize\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
      "\u001b[0;31mTypeError\u001b[0m: minimize() missing 2 required positional arguments: 'fun' and 'x0'"
     ]
    }
   ],
   "source": [
    "import iminuit\n",
    "iminuit.minimize()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "WARNING: chi2=1.28, investigate the profile LH for \n",
      "--> (iPOI, Min, Max, N) = (0, 3.71e+01, 1.63e+02, 10)\n",
      "WARNING: chi2=1.28, investigate the profile LH for \n",
      "--> (iPOI, Min, Max, N) = (1, 3.71e+01, 1.63e+02, 10)\n",
      "WARNING: chi2=1.28, investigate the profile LH for \n",
      "--> (iPOI, Min, Max, N) = (0, 3.71e+01, 1.63e+02, 10)\n",
      "WARNING: chi2=1.28, investigate the profile LH for \n",
      "--> (iPOI, Min, Max, N) = (1, 3.71e+01, 1.63e+02, 10)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "unity = np.diag([1]*2).astype(np.float64)\n",
    "Ds = [dp, dp]\n",
    "Rs = [rp, rp]\n",
    "\n",
    "fullCorr = unity.copy()\n",
    "for i in range(0, 1):\n",
    "    for j in range(0, 1):\n",
    "        if i == j:\n",
    "            fullCorr[i+1, j] = 1.0\n",
    "            fullCorr[i, j+1] = 1.0\n",
    "\n",
    "mCorr = unf.model(Ds, Rs, fullCorr)\n",
    "m = unf.model(Ds, Rs, corr=unity)\n",
    "\n",
    "POIsCorr = mCorr.postFitUncerPOIs()\n",
    "POIs = m.postFitUncerPOIs()\n",
    "\n",
    "Xs = np.array([0, 1.0])\n",
    "plotResult(Xs, POIs, POIsCorr)\n",
    "plotErrorBarRatio(Xs, POIs, POIsCorr)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "WARNING: chi2=1.28, investigate the profile LH for \n",
      "--> (iPOI, Min, Max, N) = (0, 3.71e+01, 1.63e+02, 10)\n",
      "WARNING: chi2=1.28, investigate the profile LH for \n",
      "--> (iPOI, Min, Max, N) = (1, 3.71e+01, 1.63e+02, 10)\n",
      "WARNING: chi2=1.28, investigate the profile LH for \n",
      "--> (iPOI, Min, Max, N) = (0, 3.71e+01, 1.63e+02, 10)\n",
      "WARNING: chi2=1.28, investigate the profile LH for \n",
      "--> (iPOI, Min, Max, N) = (1, 3.71e+01, 1.63e+02, 10)\n"
     ]
    },
    {
     "data": {
      "image/png": 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85fW8dP31fT0M1jrgANb+zwO6te2kSZOYPn368s/Tp09n1KhRjBkzhmnTpnHQQQctX77tttuy2mqrLW87e/ZsZs+ezQUXXFC1j1deeYWjjz6a8ePHc/fdd7P22msvX/fNb35z+T9feuml3HfffZxzzjl87nOfA+DYY49lww035Pzzz+c3v/kN++yzT4d977jjjnz/+9+v2G+1dQOA+Sip3+ov+QhmZCtlZJ8Wnpm5rIZm+wH/aAvV4nYvRcRU4P0Ug7U0VIvLnoiIecBGDRqypBXI4qefZsE99/T1MFjtXe/q9raTJk3i2muvZfbs2Wy66aZMnz6dyZMnM2bMGK677jqgcO/HzJkzOfHEEztsO2XKFNZcc00mT55ctY9bbrmFF198kXPOOadDoAIMGvTGhTVTpkxh9dVX57jjjuvQ5uSTT+b8889nypQpZaF67LHHdtpvtXWtznyU1J/1l3wEM7Iz/TEj+/oXz1psDjxQYfks4PCIWCMzX620YURsBqwHPFRjX1tHxEvAasVtvp2Zl3ZjzJIGgKEbbcRq227b18Ng6Ebdrw3aAnHatGmMHz+eGTNmcN555zFmzBi+8Y1v8Mwzz/DAAw+wePFiJk2a1GHbKVOmsNtuu7HSSitV7ePRRx8F6PIel8cff5xx48axyiqrdFi+4YYbsvbaazNnzpyybcaN6/w2xGrrVhDmo6Q+0V/yEczIzvTHjGyFwnM48HiF5fOL78OAsmCNiCHA94F5QC3h+EfgJ8BsYG3gcOCHEbFhZp5e/7Altbq1/7P7l+/0FxMmTGC99dZj+vTpbLXVVrz66qtMnjyZkSNHMnToUKZNm8asWbMYMmQIO+yww/Lt5s+fz4wZM7j00tpri8Ith91rk5kV16266qqd7qvauhWE+SipTwyEfAQzsre1QuEZQHayvJrvAu8B9s7MF7rqJDNL73H5dURcD5wSEedXOmscEUcBRwGMHj26qy4kqU/svPPOy0N15MiRbLzxxgBMnDiRadOm8eCDD7LNNtuwxhprLN/mhhtuIDPZe++9u9z/JptsAsD999/PxIkTO203duxY7rjjDv797393OKP7zDPP8NJLLzF27NhufsMVlvkoST1kRvaevp7VthbzKZzVLTWs+F4WmhHxTQqB9/HMvLkHfV8NrAJsUWllZl6SmRMzc+KIESN60I0kNc/kyZN5+umnueyyyzpcKjRp0iRuvvlm7r777rJLiKZOncr222/Puuuu2+X+3/e+97H22mtz1lln8dJLL3VYl/lGXbTvvvvy6quvctFFF3Voc/bZZy9fr7qYj5LUQ2Zk72mFwnMWhftYSk0A5paeaY2IUyhMFX9CZl7Zw77bzhpXOqMsSS2hLTAffvjhDpMgTJ48mTlz5rBo0aIOobp48WJuuummmkNuzTXX5MILL+Sxxx5jq6224qtf/So/+MEPOOWUU5afOQb4xCc+wTvf+U4+97nP8alPfYqLLrqIQw45hP/93/9ln332KZs0QV0yHyWph8zI3tMKl9pOAT4WEZMyczpARLwJ2Bf4afuGEfFp4HTglMysPrdxbQ4BFgJ/bcC+JKlPbL755owYMYJ58+Z1CM8ddtiBIUOGkJnsuOOOy5dPmzaNl19+ua6zqwcffDAbbLABZ5xxBueffz6LFy9m9OjR7L///svbrLzyytx6662ceuqp/PKXv+Syyy5j1KhRfPnLX+bLX/5yTfe/qAPzUZJ6yIzsPdH+J94+GUBE2xNR3wscDRxLYcKDeZk5PSIGAbcDbwZOonDp0BeBLYGtMvPJ4n4OohC0NwFfL+nm5cx8sF2fjwFPZOZ7i593onAW+JcUJmpYC/gohanqv5CZZ3X1PSZOnJgzZ86s+/u3+fDFd/LnOfN597jh/OxT23e9gSQ1yfHHH89vf/tbHnvssb4eSkM9cdjhLLjnHlbbdlvGXHlFt/cTEfdmZuc36jSI+fgGM1JSf2FGVlctI/vDL54/L/l8YfF9OjA5M5dFxD7AOcV1qwB3Aru0hWrRHhQu/dmj+GpvOjC53echwOB2n/9J4bLj/wHWBRYD9wOHZObV3ftaktSatthiC3bddde+HobMR0nqd8zI7uvzwjMzu/zdODPnAx8vvjprcwRwRI19ji35/BiwZy3bStJAd9RRR/X1EIT5KEn9kRnZfa0wuZAkSZIkqYVZeEqSJEmSmsrCU5IkSZLUVBaekiRJkqSmsvCUJEmSJDWVhackSZIkqaksPCVJkiRJTWXhKUmSJElqqh4XnhGxbkRs0ojBSJI0kJiRkiQV1Fx4RsThEXFJybJvAs8CD0fEHRGxZqMHKElSf2dGSpJUXT2/eH4KGNL2ISImAp8H/gT8AHgX8NmGjk6SpNZgRkqSVMWQrpsstzHw83afPwjMB3bLzNcjIoEPAV9v4PgkSWoFZqQkSVXU84vnWsBL7T6/F/h9Zr5e/DwTGN2ogUmS1ELMSEmSqqin8HwG2AQgIkYA76BwCVGbNYCljRuaJEktw4yUJKmKei61/QNwXETMB3YBErih3fq3Ak83cGySJLUKM1KSpCrqKTy/ArwH+Fbx8+mZ+ThARAwBDgR+0dDRSZLUGsxISZKqqLnwzMynImJzYALwUmbObbd6NeAo4C8NHp8kSf2eGSlJUnX1/OJJZi4F/lph+cvArxs1KEmSWo0ZKUlS5zotPCOiW7PvlZzllSRpwDEjJUmqT7VfPB+nMDlCvQZ3byiSJLWMxzEjJUmqWbXC838oD9X9KEwRfwvwIBAU7md5L/D/gKlNGKMkSf2NGSlJUh06LTwz82vtP0fEIcA4YJvM/H8l694J3ArMbsIYJUnqV8xISZLqM6iOtp8HvlsaqACZeR/wPeCLjRqYJEktxIyUJKmKegrPTYF/VVn/LLBJz4YjSVJLMiMlSaqinsLzn8B/RkSUroiIQRQejv1MowYmSVILMSMlSaqinsLzB8Bk4KaI2CMixkXE2IjYE7gJ2Am4pAljlCSpvzMjJUmqotqstqXOBNYHjqcwQ1+p72XmNxsyKkmSWosZKUlSFTUXnpmZwH9HxIXA+4HxFKaK/xswJTMfac4QJUnq38xISZKqq+cXTwAyczZwdhPGIklSSzMjJUmqrJ57PBsuIkZFxAURcWdELIiIjIixFdoNi4gfRsRzEfFaRPw+Irao0G6ViDg7Iv4ZEQuL+925jvF8MiIejohFEfFIRBzds28oSVL9zEdJ0kDT6S+eEfGjbuwvM/PIOtpvDHwIuBf4E7BbhXEEMIXCg7mPB16g8Cy02yLiHZn5VLvmlwJ7AycBfweOozDRw/aVnq1W0s8ngYuBbwK/p3CPzoUREZl5UR3fSZI0wPVCRpqPkqQBpdqltkd0Y38J1FN4/jEz1weIiE9QIViB/YAdgV0z87Zi2zuBOcDJwKeLy7YCDgE+npmXFZdNB2YB/1PcT0URMQT4BnBlZp5SXHxbRIwETouIH2bm4jq+lyRpYDuiG9vUk5HmoyRpQOn0UtvMHNSN1+B6Os/MZTU02w/4R1uoFrd7CZhKYQKH9u0WAz9r124JcA2we0SsXKWP7YERwFUly68E1qEQ7JIkAc3PSPNRkjTQ9Ok9njXaHHigwvJZwOiIWKNduzmZuaBCu5UoXLZUrQ8q9DOr+D6h9uFKktQrzEdJUsvoVuEZERtHxA4RsVajB1TBcAr3rZSaX3wfVmO74V30QYXtq24bEUdFxMyImDlv3rwqu5ckrSh6MSPNR0lSy6ir8IyIfSLib8AjwB+BbYrL14uIxyLiA00YY1C4L6bS8u6066wPOtm+U5l5SWZOzMyJI0aMqGdTSdIA0wcZaT5KklpGzYVnREwGrqdwlvPrtAuszPwXhYdkH9Tg8VHsr9IZ1bYzuS/U2G5+hXWUrCvdfnjJekmSyvRRRpqPkqSWUc8vnl8B/gK8G/hehfV3Au9sxKBKzOKNe0zamwDMzcxX27UbFxGrVWj3OvBYF31QoZ+2e1cerH24kqQVUF9kpPkoSWoZ9RSeE4GfVJlp7ylgg54PqcwUYKOImNS2ICLeBOxbXNe+3VDgg+3aDQE+DNycmYuq9HEn8BzwkZLlh1I4m3tHT76AJGnA64uMNB8lSS2j2nM8Sw0GqoXTuhTOnNal3T0v2xTf94yIecC8zJxOITDvBK6KiJN44wHZAXyrbT+Z+f8i4mfA+RExlMJzzI6h8GDtDoEZEY8BT2Tme4vbLo6IUyk8EPtpCg/I3hX4OHB8Ztb9vSRJK5SGZ6T5KEkaSOopPB8CdgIu7GT9PhQuM6rXz0s+t+1/OjA5M5dFxD7AOcV1q1AI2l0y88mSbT9G4UHXpwNrF8ezR2beV9JuCIX/SVguM78fEQl8DjgJmAv8V2Z29n0lSWrTjIw0HyVJA0Y9heelwHci4ve8cQlPFu8ZOZPCQ6YPr3cAmdnlrHqZOZ/C2dWPd9FuIfDZ4qtau7GdLL8YuLir8UiSVKLhGWk+SpIGkpoLz8y8KCJ2AH4AnEthavWrgXUonB29LDN/0pRRSpLUj5mRkiRVV88vnmTmoRHxCwqTCryNwn0kfwauyMxfNGF8kiS1BDNSkqTO1VV4AmTm9RSeVSZJktoxIyVJqqyex6lIkiRJklS3Tn/xjIi2SRCuzMxs97mqzLyiISOTJKmfMiMlSapPtUttf0xhcoRrKDx7rO1ztVn2EjBUJUkD3Y8xIyVJqlm1wnMXgHYPh96l+cORJKklmJGSJNWh08IzM6dHxF7tP/fOkCRJ6t/MSEmS6tPV5EK/iYgfRMQavTIaSZJahxkpSVKNuio8LwWOBO6PiEm9MB5JklqFGSlJUo2qFp6Z+UlgT2AocGtEnB8Rq/TKyCRJ6sfMSEmSatflczwz8yZgc+BK4NPA/0XEu5o9MEmS+jszUpKk2nRZeAJk5suZ+TFgH2AEcGdELK3wWtLU0UqS1M+YkZIkda3a41Q6iIiVgfcBw4B/AQ83a1CSJLUSM1KSpOpqKjyLlw1dDrwV+CnwX5n5YjMHJklSKzAjJUnqWtVLbSNiSEScAdwOrAN8IDMPNVAlSSs6M1KSpNp19YvnvcAWwK+BozJzXvOHJElSSzAjJUmqUVeF52jgo5l5ZW8MRpKkFmJGSpJUo64Kz7dn5tO9MhJJklqLGSlJUo2q3uNpoEqSVJkZKUlS7Wp6jqckSZIkSd1l4SlJkiRJaioLT0mSJElSU1l4SpIkSZKaysJTkiRJktRUnT5OJSJ27s4OM/OP3R+OJEn9nxkpSVJ9qj3HcxqQ3djn4O4NRZKkljENM1KSpJpVKzw/VvI5gOOBTYGfAA8Wl00ADgZmA99twhglSepvzEhJkurQaeGZmZe3/xwRnwZGAG/NzH+UrDsNuBNYsxmDjIhdgNOAbYCFwA3AiZn5bLs2PwY+2skuHsnMt3XRx+PAmAqrDsjMX3Vj2JKkAcqMXM6MlCTVpNovnqWOBy4uDVSAzHwqIi4utrmgUYMDiIidgJuBm4ADgXWA04FbI2KbzFxUbHoa8P2SzccCVwNTauzuJuBrJcseqX/UkqQVjBkpSVIV9RSebwYWVFn/WrFNo30VeALYPzOXAETEw8DdwJHAhQCZ+Tfgb+03jIj3Ff+xw5npKp7LzLsaMWhJ0grFjJQkqYp6HqcyBzg0IlYpXVFcdjjweIPG1d52wC1tgQqQmfcAzwMHdLHt4cC9mTmrCeOSJKmNGSlJUhX1FJ7nAlsD90TE0RGxS0RMjohjgJnAlsD/NmGMS4HXKyxfBLy9s40iYgdgY2o/kwuwb0QsiIhFEXFXROxf31AlSSsoM1KSpCpqvtQ2M38YEWtQuHfkQt6YRj4oTGZwUmb+oPFD5BEKZ3SXi4gxwIbA4irbHV5cf3WN/UwF7qFw1np94L+A6yPisMy8qtIGEXEUcBTA6NGja+xGkjTQmJEdmY+SpFKRWd9jyCJiLWB3YByFQP0bhct8Xmz88CAiPgJcBXwD+A4wHLgEeA+wODNXrbDNysAzwG2Z+Z/d7HcwcBewQWZ2eV/OxIkTc+bMmXX388Tzr/GDP/2dn/55LssSBgUc8u7RfHKn8YxZZ/VujFyS1N7rc+fy/GWX8eLProVly2DQINb+8IdY52MfY6VuFEURcW9mTvzxk3oAACAASURBVOxknRlZorv5CGakJDVbr2ZkvYVnXyhORX8isAqFs8g/A1YH3p6Z4yu0/1Cxzf6Z+ese9HsycBYwMjP/Wa1td4L1tkf+xbFX3cfipctYsuyNfw9DBgVDBw/iwkPfyS5vXa87Q5ckAa/+8Y88dcJ/k4sXw5Ilb6wYMoQYOpRR3z6fNXbeua59VgvVvtDfM7K7hacZKUnN1dsZWc89nm07GxcRn4iIUyJibHHZShExOiJWqnd/tcjMU4F1Kdwjs2FmHgxsAtzeySYfBZ4Dbuxh19E2hB7up8wTz7/GsVfdx8LFSzsEKsCSZcnCxUs59qr7eOL51xrdtSStEF6fO7cQqAsXdgxUgCVLyIULeeqE/+b1uXMb1qcZ2RhmpCQ1V19kZF2FZ0ScBcymcBnP/wBtZ1JXAR4Ejm3YyEpk5muZ+dfMfDYi9gDeRvkzyYiI9YHdgJ9mZrX7W6qKiCHAB4G5mflMd/fTmR/86e8sXrqsapvFS5fxwz/NaXTXkrRCeP6yywpncavIxYt5/sf1zK/TOTOyccxISWqu3s5IqKPwjIhPAScB36MQWm1nOsnMlyk8gHrfho3sjX63jogvRcQexdfpwK+Bb2XmjAqbfITCpEmdHqWIWBIRl7b7fHBEXBMRhxdnIjwIuA3YBvh8Y79Rwa/+7x9lZ3FLLVmWXP9/Tzeje0ka8F6eMrX8LG6pJUt4ecqUHvdlRjaWGSlJzdWbGdmm5lltKZypvT4z/zsi1qmw/n4Ks9w12uvAXsDJwMrAQ8DRmXlZJ+0/CjyQmfdV2efg4qvNHGA94GwKEzMsoDB73x6ZeVPPhl/Za4u6+Bfd1u712tpJkjpatmBBbe1ea8jlmmZkA5mRktRcvZyRQH2F56bARVXWz6Nwj0lDFR9svWMd7beqoU2UfL4L2LX+0XXf6isP4dUagnX1ler5VyRJajNotdVqCsxBqzdkdlQzsoHMSElqrl7OyMK+6mj7bwqz5HVmDNCU6eIHov23HsmQQVG1zZBBwQFbb9RLI5KkgeVN++0LQ7ooTIYM4U377deI7szIBjIjJam5ejkjgfoKz7uBAyqtiIhVgMOAOxoxqBXBJ3caz9DB1Q//0MGD+MRO43ppRJI0sKzzsY8RQ4dWbRNDh7LOER9tRHdmZAOZkZLUXL2ckUB9hefZwPYRcSWFKdsBNoiI3YFpwCjgnIaNbIAbs87qXHjoO1l16OCys7pDBgWrDh3MhYe+0wdkS1I3rTR6NKO+fT6x6qrlZ3WHDCFWXZVR3z6/Ww/IrsCMbCAzUpKaq5czEoDIrP3xWxFxFPBtYCUKM/a1bfw6cExm/rhhI2sx3X1A9hPPv8YP/zSHn/55LkszGRzBIe8ezSd2GmegSlIDvD53Ls//+HJevOYaWLYMBg1i7YMOYp0jPtqtQO3s4dhmZGXdzUcwIyWp2XorI6HOwrO4sw0oPLvrbRSC9VHg2sxcoec070mwAnz44jv585z5vHvccH72qe0bODJJEsAThx3OgnvuYbVtt2XMlVd0ez9VQ9WMLNPTfAQzUpKarTcysu7p4IoPir6g26ORJGmAMiMlSaqsnns8JUmSJEmqW6e/eEbEH7qxv8zM9/ZgPJIk9XtmpCRJ9al2qe143pgYoc3qvPEA7Bcp3L+yVvHzc8CrDR2dJEn9kxkpSVIdOr3UNjPHZua4thfwXmAhhRn7Rmbm8MwcBowEvgMsKLaRJGlAMyMlSapPPfd4ngfMyMzPFCdPAAoTKWTmfwN3FdtIkrSiMSMlSaqinsJzMjC9yvppwC49GYwkSS1qMmakJEmdqqfwTGCzKus3p/x+F0mSVgRmpCRJVdRTeN4MHBMRh0dEtC2Mgo8Cnyq2kSRpRWNGSpJURbVZbUt9FtgWuAw4MyIepXD2dlNgfeDJYhtJklY0ZqQkSVXU/ItnZj4FvAM4C3gBeBfw7uI/nwW8o9hGkqQVihkpSVJ19fziSWa+BHyp+JIkSUVmpCRJnavnHk9JkiRJkurW6S+eEbFzd3aYmX/s/nAkSer/zEhJkupT7VLbadQ39XsU2w/uyYAkSWoB0zAjJUmqWbXC82O9NgpJklqLGSlJUh06LTwz8/LeHIgkSa3CjJQkqT5OLiRJkiRJaqq6HqcSEYOAjwIHAOOLi/8O/BK4IjOXNXZ4kiS1BjNSkqTO1Vx4RsSqwI3AzhQmSPhncdVewN7A4RGxV2b+u+GjlCSpHzMjJUmqrp5Lbb8MTALOBUZk5psz883AusA5wGTglIaPUJKk/s+MlCSpinoKzw8D12bmyZn5QtvCzHwxMz8PXAsc3OgBSpLUAsxISZKqqKfwHEXhuWWdmV5sI0nSisaMlCSpinoKzxeBTaqs37jYpuEiYpeIuD0iFkbE/Ii4MiLWL2kzNiKyk9faNfQxKCK+GBGPR8S/I+IvEXFgM76PJGnAMSMlSaqinsLzFuDYiNi9dEVE7AYcA9zUqIG12/dOwM0UAvtA4AQKkzfcGhErV9jkm8D2Ja9XaujqNOBrwHeBPYG7gJ9HxF49/AqSpIHPjJQkqYp6HqfyZWB34MaI+D9gVnH55sDWwHPAVxo7PAC+CjwB7J+ZSwAi4mHgbuBI4MKS9n/PzLvq6SAi1gNOBM7MzHOKi2+LiI2BMynMVChJUmfMSEmSqqj5F8/MfAKYCFwDbAocVnxtAlwNbFts02jbAbe0BWpxLPcAz1N4Vloj7A6sBFxVsvwqYIuIGNegfiRJA5AZKUlSdZ0WnhGxc0SMaL8sM+dm5keAtYANgA2BtTPz0Myc26QxLgVer7B8EfD2Csu/GRFLIuKliJgSEVvU0Mfmxf09VrK87Yz1hJpHK0ka8MxIwIyUJNWh2i+etwHva/sQEX+PiP0AsuBfmflsZmaTx/gIhTO6y0XEGAqBPrzd4kXAxcCngF0oXBa0BTAjIjbroo/hwIsVvsv8duslSWpjRpqRkqQ6VCs8FwHtJyYYC6zR1NFU9m3gXRFxekSsFxFvA64ElhVfAGTmPzPz6Mz8ZWb+KTN/QGGChaTrh3ZHsV2l5Z1vFHFURMyMiJnz5s2r5ztJklqbGVklI81HSVKpapMLzQY+GhH3AW0Pw14nIkZX22GjLyfKzJ8Ug/RECuGYwM8oTGZQ6TKi9ts+GRG3A9t20c18YFhERMkZ3WHt1lfa/yXAJQATJ05s9lltSVL/YUZWyUjzUZJUqlrheTrwU+C+4ucEzi++qhncgHF1kJmnRsSZwHjgX5n5bEQ8BNxew+adnaltbxaFM9dvoeM9LG33rTxY55AlSQObGWlGSpLq0GnhmZnXRcRfgMkU7hX5KvAr4P7eGVrZeF4D/goQEXsAb6MwVXynimeedwCu72L3v6MwOcNHgK+3W34o8EBmzunmsCVJA5AZCZiRkqQ6VH2OZ2Y+CjwKEBFfA36RmT/thXEtFxFbU3hYddtZ5R2Bk4BvZeaMdu3OpXDP6p3APOCtwBcp3ONyRsk+lwCXZ+aRAJn5r4g4D/hiRLxS7OvDwK7A+5v37SRJrcqMNCMlSbWrWni2l5k1P/OzwV4H9gJOpnCpz0PA0Zl5WUm7WcAxwBHAmhQe1v0H4OuZ+UhJ28GUX+50CvAqcAKFafAfAT6UmVMb9k0kSQOSGSlJUnU1F57tRcRqwDpUmNGuCRMnzKJwBrerdj8CflTjPiuNeymFe3ZOr3eMkiS1MSMlSSpXc+EZEYMonFE9nsLZzs40fOIESZL6MzNSkqTq6vnF80wK07XPAn4BPN+UEUmS1HrMSEmSqqin8DwU+F1m7tWswUiS1KLMSEmSqqhnMoRhwK+bNRBJklqYGSlJUhX1FJ5/pfCsMkmS1JEZKUlSFfUUnl8Hjo6INzdrMJIktSgzUpKkKuq5x3Mb4AngwYi4HpgDLC1pk5l5WqMGJ0lSizAjJUmqop7C82vt/vnQTtokYKhKklY0X2v3z2akJEkl6ik8xzVtFJIktTYzUpKkKmouPDPziWYORJKkVmVGSpJUXT2TC0mSJEmSVLeqv3hGxI+qrE5gIfB3YGpmPtrIgUmS1J+ZkZIk1a6rS22PqHE/34qIMzLzKz0cjyRJreKIGtuZkZKkFV5XhWdXkyWsDkwA/gs4JSL+kpm/aMjIJEnq38xISZJqVLXwrHGyhAcj4tfAfcCxgKEqSRrwzEhJkmrXkMmFMnMx8DNg60bsT5KkgcKMlCSpsbPaPkvhsiJJktSRGSlJWqE1svB8C/B8A/cnSdJAYUZKklZoDSk8I2JD4BPAnxqxP0mSBgozUpKkrp/jeXgX268GbAYcBKwBfKtB45IkqV8zIyVJql1Xj1P5MYWHYHcmiu9PAh/LzHsbMShJklrAjzEjJUmqSVeF58e6WL8QmAPcl5lLGzMkSZJaghkpSVKNunqO5+W9NRBJklqJGSlJUu0aOautJEmSJEllLDwlSZIkSU1l4SlJkiRJaioLT0mSJElSU1l4SpIkSZKaqiUKz4jYJSJuj4iFETE/Iq6MiPVL2rw3Iq6KiL8V2/0tIi6KiPVq7OPxiMgKr/2b860kSeo5M1KS1Aq6eo5nn4uInYCbgZuAA4F1gNOBWyNim8xcVGx6NLBGcd3fgU2ArwO7R8SWmflqDd3dBHytZNkjPf4SkiQ1gRkpSWoV/b7wBL4KPAHsn5lLACLiYeBu4EjgwmK7YzNzXrvtpkfEbGA68CHgRzX09Vxm3tWwkUuS1FxmpCSpJbTCpbbbAbe0BSpAZt4DPA8c0G7ZvArb3lN836ipI5QkqW+YkZKkltAKhedS4PUKyxcBb+9i20nF94dq7GvfiFgQEYsi4i7vXZEk9XNmpCSpJbRC4fkIhTO6y0XEGGBDYHhnG0XEmsD5FAL1VzX0MxU4Htgd+Ajwb+D6iDi0e8OWJKnpzEhJUktohXs8vw1cFRGnA9+hEKSXAMuKrzIRMQS4msLlQzu0vwSpM5l5fMk+rgfuAr4JXNVJP0cBRwGMHj26xq8jSVLD9MuMNB8lSaX6/S+emfkTCrPwfQ54FngQeBq4EfhnafuIGARcDvwHhckW7u9mv0uBnwOjImLDTtpckpkTM3PiiBEjutONJEnd1l8z0nyUJJXq94UnQGaeCqwLbAlsmJkHU5gK/vYKzb8PfBg4KDNv7WHX0TaEHu5HkqSmMCMlSa2gFS61BSAzXwP+ChARewBvozBV/HIRcS7wCeCjmVnLPSudKl6K9EFgbmY+05N9SZLUTGakJKm/6/eFZ0RsDewJ3FdctCNwEvCtzJzRrt3ngc9SeBbZoxHRfrKFeZn5t3ZtlwCXZ+aRxc8HA++ncGnSk8D6wHHANsDBTfpqkiT1iBkpSWoV/b7wpDBN/F7AycDKFGbgOzozLytpt2fx/ePFV3uXA0e0+zy4+GozB1gPOJvCxAwLKDzfbI/MvKnnX0GSpKYwIyVJLaHfF56ZOYvCGdyu2k2uY59R8vkuYNe6BydJUh8yIyVJraIlJheSJEmSJLUuC09JkiRJUlNZeEqSJEmSmsrCU5IkSZLUVBaekiRJkqSmsvCUJEmSJDWVhackSZIkqaksPCVJkiRJTWXhKUmSJElqKgtPSZIkSVJTWXhKkiRJkprKwlOSJEmS1FQWnpIkSZKkprLwlCRJkiQ1lYWnJEmSJKmpLDwlSZIkSU1l4SlJkiRJaioLT0mSJElSU1l4SpIkSZKaysJTkiRJktRUFp6SJEmSpKay8JQkSZIkNZWFpyRJkiSpqSw8JUmSJElNZeEpSZIkSWoqC09JkiRJUlNZeEqSJEmSmsrCU5IkSZLUVC1ReEbELhFxe0QsjIj5EXFlRKxfod2wiPhhRDwXEa9FxO8jYosa+xgUEV+MiMcj4t8R8ZeIOLDx30aSpMYxIyVJraDfF54RsRNwM/AicCBwArAzcGtErNyuXQBTgD2A44tthwK3RcSoGro6Dfga8F1gT+Au4OcRsVfDvowkSQ1kRkqSWsWQvh5ADb4KPAHsn5lLACLiYeBu4EjgwmK7/YAdgV0z87ZiuzuBOcDJwKc76yAi1gNOBM7MzHOKi2+LiI2BM4EbG/2lJElqADNSktQS+v0vnsB2wC1tgQqQmfcAzwMHtGu3H/CPtkAttnsJmAq8v4s+dgdWAq4qWX4VsEVEjOv+8CVJahozUpLUElqh8FwKvF5h+SLg7e0+bw48UKHdLGB0RKxRpY/Ni/t7rMK2ABNqG6okSb3KjJQktYRWKDwfoXBGd7mIGANsCAxvt3g48EKF7ecX34dV6WM48GJmZifbDkeSpP7HjJQktYRWuMfz28BVEXE68B0KAXcJsKz4ahNAaSi2Le9Kt7aNiKOAowBGjx5dQzed+8A2o9hu/DqMGrZqj/YjSapsrQMOYLV3vYuhG23U10NppH6ZkY3MRzAjJanZeiMj+33hmZk/iYi3UZjY4BQK4fczCpMZtL+MaD6Vz7q2ncWtdKa3/bbDIiJKzugOa7e+0tguoRDwTJw4sVIo1+yDE9/ck80lSV1Y+z8P6LpRi+mvGdnIfAQzUpKarTcyshUutSUzTwXWBbYENszMg4FNgNvbNZtF4T6UUhOAuZn5apUuZgErA2+psC3Ag90ZtyRJzWZGSpJaQUsUngCZ+Vpm/jUzn42IPYC3Ad9v12QKsFFETGpbEBFvAvYtrqvmdxQmZ/hIyfJDgQcyc06Pv4AkSU1iRkqS+rt+f6ltRGxN4WHV9xUX7QicBHwrM2e0azoFuJPCvS4nUbhs6IsU7kH5Vsk+lwCXZ+aRAJn5r4g4D/hiRLxS7OvDwK50Pc28JEl9woyUJLWKfl94UjjLuheFB1yvDDwEHJ2Zl7VvlJnLImIf4BwKD8xehULI7pKZT5bsc3Dx1d4pwKvACcAGFGYK/FBmTm3s15EkqWHMSElSS4jy2dHVHRMnTsyZM2f29TAkSU0WEfdm5sS+HkerMB8lacVRLSNb5h5PSZIkSVJrsvCUJEmSJDWVhackSZIkqaksPCVJkiRJTWXhKUmSJElqKgtPSZIkSVJT+TiVBomIecATfT2OBloXeK6vB9HPeEzKeUzKeUzKDbRjMiYzR/T1IFqF+bhC8JhU5nEp5zEpN9COSacZaeGpiiJips+p68hjUs5jUs5jUs5jooHEP8/lPCaVeVzKeUzKrUjHxEttJUmSJElNZeEpSZIkSWoqC0915pK+HkA/5DEp5zEp5zEp5zHRQOKf53Iek8o8LuU8JuVWmGPiPZ6SJEmSpKbyF09JkiRJUlNZeA5QEfHmiLguIl6KiJcj4pcRMbob+/liRGRE3N7J+o0i4kcR8UxELIqIORHxzZ5/g8brjWMSEetExLcj4u8RsbB4PL4bEf3y0Qs9OSbFY1Dp9Y6SdoOKx+zxiPh3RPwlIg5szjfquWYfk4jYtPhn5P6IeDUi/hkRUyJiq+Z9q57rjT8rJdscXGzzVOO+hVRgRpYzI8uZkeXMyHLmY+281HYAiojVgL8Ai4AvAwmcDqwGbJmZr9W4n/HA/cBrwKOZuWPJ+rHAHcAc4DvAs8BYYOPMPLUBX6VheuOYREQAtwObAl8BHgImAKcBs4H3ZD/6C9fTYxIRCfwYuLhk1f2ZuaBdu28AJwKnAPcCBwGfBPbJzBsb8mUapDeOSUT8F3AUcDlwH7A2cDKwNbBDZt7bqO/TKL31Z6Vd+7WBh4v9LM3MUT39DlIbM7KcGVnOjCxnRpYzH+uUmb4G2As4AVhKIdzalo0DlgCfrWM/N1H4izANuL3C+t8BdwND+/o794djQiFMEziqZPnRxeVv7evj0MhjUvxOp3fRZj0K/zH+esnyWyn8R7XPj0MfHJN1KZ70a7dsLeAF4Iq+PgZ9dVxK2l9S/Lv2Y+Cpvv7+vgbWy4zsm2NiRlZsY0aWt2mpjDQf63t5qe3AtB9wV2Y+1rYgM+dQOPP6/lp2EBGHAO8EvtjJ+rcAuwMXZObiHo+4+Zp+TICViu8vlyx/sfje3/6+9fiY1GB3CsflqpLlVwFbRMS4BvXTKE0/Jpn5XBbTo92ylyic8d+oEX00QW/8WQEgInYADgWOa+R+pXbMyHJmZDkzspwZWc58rEN/+0uuxtgceKDC8lkULmupKiKGAecBJ2fm/E6a7VB8XxgRtxTvXXkhIq6IiHW6Nerm6o1jMgv4I3BqREyMiDUi4l0ULin6bWY+1L2hN02PjknRMcV/9wsi4g8RsVOFPhYBj5Usn1V8r7Wf3tIbx6RMRAwH3k7h0rP+qFeOS0QMpXA29+z2IS41mBlZzowsZ0aWMyPLmY91sPAcmIZTuCSh1HxgWA3bn03hzNKPq7QZWXz/UbHtnsDngb2BmyKiv/3ZavoxKZ6h2wt4BLgHeAX4M/B3oD9OFNDTY3IVcCzwHxTux1gH+ENETC7p48XSs5fFPtrW9ye9cUwquQAI4PyaR9q7euu4fB5YGeiXk69owDAjy5mR5czIcmZkOfOxDkP6egBqmko36EdXGxXPshwOvLPCfwjbawvNaZnZ9pP/HyLiJeAaCpeP/LaO8faGZh8TgB8A21G4Z+UhYDPg68B1EbFvZi6rb8hN161jApCZh7X7+KeI+DWFs36nA20TSkRP+ugjzT4mHXcc8UXgEODIfn4Ws6nHJSI2pjC5xgGZ+e8ejlXqihlZzowsZ0aWMyPLmY816m9n3NQYL1D5LNkwKp+Vae9i4FLgqYhYuzh71hBgcPHzysV2zxffbynZ/ubi+9b1D7upmn5MImJv4GDgsMy8ODP/mJkXA4dROMu7b4O+S6P05JiUycxXgBuAbdstng8MK85mWNpH2/r+pDeOyXIRcTRwBvDlzPxRvfvvRb1xXL4D/AG4q93fs5UoTIa5dkSsWv+wpYrMyHJmZDkzspwZWc58rIOF58A0i8I156UmAA92se1mFM5EvtDutQOFM5QvAMe06wMqn+UB6G9nLXvjmGxRfL+nZPu72+2nP+nJMelM6dnbWRQuDXlLhT7oQT/N0hvHpLAw4jDgQuDczPxGN/fdW3rjuEyg8D+f7f+eHUzhksUXaPHLi9SvmJHlzMhyZmQ5M7Kc+VgHC8+BaQqwXRSepwUsf57YDsV11exS4fUXCj/77wJcV2x3F/AMsEfJ9m2fS4Olr/XGMXmm+P6uku3fXXx/untDb5qeHJMyEfEmCvcv/bnd4t8BrwMfKWl+KPBAcea3/qQ3jgkRcQBwGfDDzDyxB+PtLb1xXA6i/O/ZTcBzxX/+bveGLpUxI8uZkeXMyHJmZDnzsR59/TwXX41/AatTmCHtr/+/vbuNlaOq4zj+/QteG214UNAYIhalotAai6EBI4bnxhdgIRgTEUlUjDxI0AZMDGol8Rk1mIJPEVDBxBdIoVGLEKjBapSHNlSMlVgKRB4s0GIJFij+fXHO6jB3ey/svdvdvf1+kpPpzpw9Z3a6ub+c2ZkzlKmcT6KEwAZgdqPeGynPGfr8JO2tovszys6gnJH5HnAC5ebozcCttJ7BNOiyM44JsAclOB+inOE9ui4fAR5o9jMMZSrHhPKw6x9S7rs4qn4X1lEC9MhWP18FtgGfrnW/Sznbf+Kgj8Egjgnwnno87gLeRflVoFMWDPoYDPK70qXfqxjB55RZhrvsjDyo683IF64zI83IGZeRO+t70qXfqxjBfBz4Dlj69B8L+wPXUp6XtRVYDsxp1ZlDCcWlk7Q1LkAa206nnNV8BniYMvPYUIXHzjwmwBso97rcV/9w3lf/qOw36M8/nceEci/OasrZtuco9zPdACzs0sduwEXA/fV7cjdw6qA/+6COCbC0vrdb2Tjozz/I70qXPkcyWC3DX8zIwRwTM9KMnIkZaT6++BJ15yVJkiRJ6gvv8ZQkSZIk9ZUDT0mSJElSXznwlCRJkiT1lQNPSZIkSVJfOfCUJEmSJPWVA09JkiRJUl858JQkSZIk9ZUDT0lDIyLmRMTGQe+HJEmSppcDT0k9i4h5EbE9Io7fwfZFEbEqIp6KiE0RsSwiZk2hv8UR8WxEzO19ryVJ6i/zURrPgaekqfgWsDozb2pviIglwErgYeBTwArgHODSXjvLzOXAOuBrvbYhSdJOYD5KLZGZg94HSSMoIo4Afg8szszrW9uOA34DXJiZlzTWrwSOBvbNzH91aXMOsCoz50zQ74eBHwPzMvOeqX8SSZKmz3TlY0S8Anj5BF39OzOfb7RhPmqo+YunpF6dDTwO/Kq5MiJeRjlruwb4Zus9q4AxYF6j/uURsSUitgB3A/t3Xtfy7lYbvwCeBj4xnR9GkqRpMi35CPwI2DpBObLVhvmooebAUxpxETEWERdGxNqIeDoinoyIOyLi3EadfSLisoh4sN4D8mB9/ZpWW7MiYmlErK9tbYmIdRHxjVa93YHFwE2Z+VxrlxYBBwPfyfGXVDxbl3t2VmTm2Zm5V2buBbwdeKDzupbfNRvIzKeA24D3v+SDJUnaZcyAfPxQZsYEZVWzAfNRw273Qe+ApN5FxBhwI3AU5dKdq4FtwHzgFGBZROxJueTnQOAK4C5gAXAWcExELMzMrbXJy4CPAD8Bvg3sBswFjml1/U5gNvCnLrv1AeB54LaI2Ke17XV1uZWp+QOwKCLempl/nWJbkqQZxnw0HzV8HHhKo+18Sqh+JTM/29xQL+kBuJASjudk5uWN7WuBZXX75+rqk4FfZ+YZk/R7cF3+vcu2oymB3G1bx4ZJ2p9Mp+1DAINVktRmPpqPGjJeaiuNttOAzcDF7Q2Z+Z/6z5OBTcAPWlW+DzxWt3c8CRwSEfOY2L51+URzZT2Duz9wHXB8l7IZeCQzH+rWaGZunGhioYbH6/K1L6KuJGnXM6Py8SUwHzW0/MVTGm1zgbWZuW2COgcAd2Tm9ubKzNweEeuBQxurzwd+CqyLiA3ArZRp3lc0ghqgc29KtPp6U13enpk3NzdExAHA3sDPJv9Yk+r067TckqRuzEdpyPiLpzT6pi1c6rTvGZR/PwAAAtxJREFUc4DTgVuAY4HlwKp6v0zHprp8dauJ2XXZ7R6VU+vy59Owq51+N01YS5K0KzMfpSHiwFMabX8D3laf9bUjG4CD6kx7/1Nfv4XW/SSZ+URmXp2ZZ1LO0H6dMmX7+xrV/lyXc1t9dZ7NuUerrzHKZA3rgV9O9qFehANb+yFJUpP5KA0ZB57SaLuGcnnORe0NEdG53GY55Z6Tj7WqnFnXX1fr7xYRezUr1One19SXzbO3ayghenirzb9QniG2qLX+S5Qzxec1H3Y9BYcDj2bm+mloS5I085iP0pCJ8Y8RkjQq6pnSmylnXG+kTBm/jTKb3UGZeVydLv524M2Uh1GvoUwX/1HgXuCwzNxaQ/Vh4IZa55+U+1/Oopykmtec9CAirqSc5X19Zj7TWH8pcB4l9H8LvJcyQcMFmXlJa/9PBpZSLi/6OCW8l7VnIGy9ZzbwKHBFZn7yJR4ySdIuwHw0HzV8HHhKIy4iZgFLgA9SwnMbJTCv7EwPHxH7Al8ETqI8K+xR4HrgC5n5WK0zVuscW9uZTQnaWyjT0d/b6nch8Efg1My8trF+jHL50WnAK4E7gS9n5sou+34xcAElvK8BDgNWA3tn5pYdfN4zgKuA+ZnppUSSpK7MR2m4OPCU1LOIWAm8KjOP7PH9K4D7M/Pc+npPYAsTB+ud9T2n9LjbkiT1lfkojec9npKmYglwRESc0OP7F1Dusel4B/CPCUJ1MTAf+EyP/UmStDOYj1KLz/GU1LPMvIce/47Uy5v2A+5qrF7A/ydr6NbfcmBsR9slSRoG5qM0nr94ShqUBcDGzHyise5QXhi0kiTtasxHzUgOPCUNygLGh+iEZ3QlSdoFmI+akZxcSJIkSZLUV/7iKUmSJEnqKweekiRJkqS+cuApSZIkSeorB56SJEmSpL5y4ClJkiRJ6isHnpIkSZKkvnLgKUmSJEnqKweekiRJkqS+cuApSZIkSeqr/wI8qeXBPPQ6VAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 1080x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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VM1U1s2bNmqUdsCRpqzOOGWk+SpKWW5dfJjfTXhdy6uzrJGurauMWj2pISY4BXge8sqq63OMy7XMt/agkSRptRpqPkqSV0GUCnjkl2S3J+4H/WortDfmerwTeBBxTVe/usN4q4BDgO1X1g+UanyRJsPIZaT5KklbKgr9MJlkNvAC4H3AF8MnZU3WS3AN4I/B7wHbAl7sOIMmz2j9np0w/IMkmYFNVnZ1kN+Bi4LiqOq5d51DgXcDpwJlJHt2zyZ9W1Tfbfs8FDgI+B1xOM8HAy9r3em7XsUqS1Gs5M9J8lCSNu3mLyST3oQm/e3HbqS9/nORA4BbgU8Bq4F+B46vqi4sYw0l9r9/bPp8NPL593225/a+o+7ft+7ePXrPrQTND3c7A24CdgOtpZq7bv6rOWMRYJUkCViQjzUdJ0lhb6JfJN9CE5LuALwJ7tm1/A9wTuAR4RlWdvdgBVFUWWH4pt4X0bNsLaI4EL7TtdcC+ix2bJEnzWNaMNB8lSeNuoWLyicA/VNUfzTYkuQL4GHAu8MSqunEZxydJ0rgyIyVJU22hCXjuBZzT1zb7+u8MSUnSFDMjJUlTbaFicjvg2r622dfO9CZJmmZmpCRpqg1za5C57jXlPagkSdPOjJQkTa0Fbw0CvDXJ0T2vt6UJyQ8kua6vb1XVQ5dsdJIkjTczUpI0tRYqJr9DE4p3HtC+zYB2SZKmhRkpSZpq8xaTVbX7Co1DkqSJYkZKkqbdMNdMSpIkSZJ0OxaTkiRJkqTOLCYlSZIkSZ1ZTEqSJEmSOrOYlCRJkiR1ZjEpSZIkSepsqGIyyY5JXp9kv+UekCRJk8SMlCRNq6GKyaq6DvhT4D7LOxxJkiaLGSlJmlZdTnO9GLjncg1EkqQJZkZKkqZOl2LyvcCRSe6+XIORJGlCmZGSpKmzqkPfa4ArgIuSfBT4FnB9f6eq+tgSjU2SpElhRkqSpk6XYvIjPX//wRx9CjAoJUnT5iM9f5uRkqSp0KWY3GfZRiFJ0mQzIyVJU2foYrKqzl7OgUiSNKnMSEnSNOoyAc+SS7JLkncn+XKS65NUkt2HXPcOSd6W5PtJftZu43ED+m2T5Ogklya5IckFSZ651J9FkqSlYj5KkiZBl9NcAUgyA/w6sJrNi9GqquM7bG5P4NnAecA5wJM6rPtB4CnAHwOXAC8DzkjyG1X1tZ5+xwOvAY5p3+dQ4KQkT62qz3V4P2mrdtlPruP951zCZ7/6P1x3483suMMqDn74r3DkY/dgt7vvOOrhSRNhCTPSfJTGhPkozS1VNVzH5JeAz9AEWmgmEki7ePbvqqpth37zZJuqurX9+0XA+4G1VXXpAus9FPga8MKq+nDbtgrYAFxUVQe2bTsDlwNvrao39Kz/RWBNVT1koTHOzMzU+vXrh/1I0kQ666If8dITz+fnt9zKzbfe9m/Cqm3Cdttuw3sPfwT73H/nEY5QWn5JzquqmUWuu6QZaT5K48F8lBpzZWSX01xfTxOSb6aZaCDAEcABNEdNvwLs1WVQs0G5CAcCPwc+1bOtm4FPAvsl2aFt3g/YHjixb/0TgQcnWbvI95e2Gpf95DpeeuL5/Oznt9wuKAFuvrX42c9v4aUnns9lP7luRCOUJsKSZqT5KI2e+SgtrEsx+SzgpKp6PXBh2/a9qjoDeCJNKL1gaYc3p72BjVXVfw+vDe049uzpdyPw7QH9oGPxK22N3n/OJfz8lvn/f+vPb7mVD5yzcYVGJE2kcclI81FaIuajtLAuxeR9gNnZ6m5pn7eHXxz1/P9orrdYCTsBVw5ov6Jn+ezzVbX5ubz9/aSp9dmv/s9mR1z73XxrcfJXv7dCI5Im0rhkpPkoLRHzUVpYl2LyGm6bsOca4FbgV3qWXw3cc4nGtZDZ61EGtS+m3+0XJkclWZ9k/aZNmxY5RGkyXHfjzcP1u2m4ftKUGpeMNB+lJWI+SgvrUkxeDPwqQFXdQnMqzLMAkgR4Bs3F/CvhCgYfNV3ds3z2eXU7vvn63U5VnVBVM1U1s2bNmi0erDTOdtxhuEmdd9y+8+TP0jQZl4w0H6UlYj5KC+tSTP4L8MwkszPRvQ/YP8nFwLdorgn54BKPby4bgLVJ7tjXvhdwE7ddA7IB2AG474B+AN9cthFKE+Lgh/8Kq7aZ98cIVm0Tnv7we6/QiKSJNC4ZaT5KS8R8lBbWpZh8K7fNUEdVvZfm/lRX01yf8afAXy71AOdwKrAdcMhsQzv1+XOAz1fVjW3z6TTheVjf+ocDF1aVV0xr6h352D3Ybtv5/ynYbttteNFjndxRmse4ZKT5KC0R81Fa2NC/y1fVtcBFfW3vAN6xJQNI8qz2z0e2zwck2QRsqqqzk+xGc/rQcVV1XPu+X0vyKeBdSbYDNgIvAdbSE4xV9aMk7wSOTnINcD5NoO4LHLQl45a2FrvdfUfee/gjFryPljdmlua2HBlpPkqjZT5KCxuHk7xP6nv93vb5bODxNEd5t2XzX1F/j+Z+Xm8C7gZcAOxfVef39TsGuBZ4Fc3kBxcBz66q05Zo/NLE2+f+O3P6qx/LB87ZyMlf/R7X3XQzO26/iqc//N686LFrDUppNMxHacTMR2l+2XxW8AGdkocCN1XVf7avVwEvpDmCeWdgPfDuqvrxMo51JGZmZmr9+vWjHoYkaZklOa+qZhax3lRmpPkoSdNjroyc95fJJKtpJhV4WPv6HODJwD8C+/V0PQA4IsmvV9UPl2zUkiSNKTNSkjTtFpqA5w+BhwOfBf4OmAFOpJlk4HXtskcBb6G5YfOfLdtIJUkaL2akJGmqLXTN5DOAf6yqQwCSnA98AHhHVfXOSrc+ye40R2QlSZoGZqQkaaot9MvkLsBZPa+/1D6fO6DvvwHeaEeSNC3MSEnSVFuomLwzcFXP66v7nnv9lPGYHVaSpJVgRkqSptpCxaQkSZIkSZsZ5ijp7kke0f591/b5fkmu6uu3dumGJUnSRDAjJUlTa5hi8vj20eu9A/oFWPimlZIkbT3MSEnS1FqomHzjioxCkqTJY0ZKkqbavMVkVRmUkiQNYEZKkqadE/BIkiRJkjqzmJQkSZIkdWYxKUmSJEnqzGJSkiRJktSZxaQkSZIkqTOLSUmSJElSZ0MVk0nulOTiJK9e7gFJkjRJzEhJ0rQaqpisqmuBuwPXLu9wJEmaLGakJGladTnNdR0ws1wDkSRpgpmRkqSp06WYfB3w7CS/lyTLNSBJkiaQGSlJmjqrOvR9B3Al8AHgL5NcDFzf16eq6glLNThJkiaEGSlJmjpdfpnco+3/HZrrQu4BrO177NHlzZPcJ8mnk1yd5KdJPpNk1yHWOzZJzfG4oa/vpXP0O7jLWCVJmocZKUmaOkP/MllVuy/lGye5I3AmcCNwBFDAm4Czkjykqq6bZ/UPAKf3te3Ytp06oP8ZwLF9bRctYtiSJG3GjJQkTaMup7kutSNpjtLev6q+DZDk68C3gBfTnDI0UFV9F/hub1uS59F8no8OWOXHVbVuicYtSdJyMyMlSWOvczGZ5C7AE7ntdJ1LgC9U1TUdN3UgsG42JAGqamOSc4GDmCco53AE8EOaI6ySJK04M1KSNE06FZNJXgT8FXAnYHa2ugKuTfKHVfXBDpvbGzhlQPsG4JCO49oF2Ad4V1XdPKDL05JcD2wLfBV4a1V9tst7SJI0HzNSkjRthp6AJ8mBwAnAJuAPgd9pH38A/Ag4IcnTOrz3TjQz3/W7AljdYTsAz6P5LINO3zkNeAWwH3AYcANwcpLDO76HJEkDmZGSpGmUqhquY/JvNAH261V1bd+yO9PcsPnKqvqtIbd3E/BXVXV0X/ubgddW1dC/mib5T+BnVfWIIfpu2471nlV1nzn6HAUcBbDrrrs+8rLLLht2KJKkCZXkvKqaWeS6U5GR5qMkTae5MrLLrUEeCnykPyQB2mtBPtr2GdaVNEde+61m8NHYgZI8CngAg4+4bqaqbgFOAnZJcq85+pxQVTNVNbNmzZphhyJJml5TkZHmoySpV5diEm67BmSQ4X7ivM0GmmtC+u0FfLPDdo4Abgb+ocM6vdeySJK0FMxISdJU6VJMXgAckWTH/gVJ7gS8oO0zrFOBRyf5xU2ck+wOPIbB98HaTJLtgUOBz1XVpiHXWUUzecF3quoHHcYrSdJczEhJ0tTpUky+HXggcH6SlyXZp328HDiP5jSat3XY3vuBS4FTkhzUTl5wCnA58L7ZTkl2S3JzktcP2MZTaU4DGnj6TpLnJvlkkue3Yz0UOAt4JPDaDmOVJGk+ZqQkaeoMfQF/VX22DcW/AN7Nbae/BLgOeHlVDZrGfK7tXZdkX+CdwMfb7XwReHXfNSehma58UOF7BM3Mdv80x9tsBHamCfCdgOuBrwD7V5X32pIkLQkzUpI0jYaezfUXKyR3o5nufC1NiF1Mc0Pmq5d+eKM3MzNT69evH/UwJEnLbEtmc+3ZxtRkpPkoSdNjrowc6pfJ9nqPU4FPtDddPmmJxydJ0kQyIyVJ02qoaybbU2p+bZnHIknSxDEjJUnTqssEPF+jmVxAkiTdnhkpSZo6XYrJNwBHJtlnuQYjSdKEMiMlSVNn6NlcgcOB7wD/kuQC4L9pZn7rVVX1+0s1OEmSJoQZKUmaOl2KyRf0/P2w9tGvAINSkjRtXtDztxkpSZoKXe4z2eWUWEmSpoYZKUmaRkOFX5I7JflQkkOWe0CSJE0SM1KSNK263BrkUOAuyzscSZImixkpSZpWXU7L+Saw+zKNQ5KkSWZGSpKmTpdi8i+BlyT51eUajCRJE8qMlCRNnS6zuT4AuBz4RpJ/Ar7F4GnPj1+qwUmSNCHMSEnS1OlSTB7b8/fT5+hTgEEpSZo2x/b8bUZKkqZCl2Jy7bKNQpKkyWZGSpKmTpf7TF62nAORJGlSmZGSpGm0ZDdZTnLHJHss1fYkSdpamJGSpK3RvMVkkpuSHNrz+s5JTk3y4AHdn04z4YAkSVs9M1KSNO0W+mVyVV+f7YGnAmuWbUSSJE0GM1KSNNWW7DRXSZIkSdL0sJiUJEmSJHVmMSlJkiRJ6mykxWSS+yT5dJKrk/w0yWeS7DrkujXH42F9/bZJcnSSS5PckOSCJM9cnk8kSdLSMCMlSeNumPtMPjnJPdu/7wgUcEh/IAGP7PLGSe4InAncCBzRbvdNwFlJHlJV1w2xmY8A7+tr++++18cDrwGOAc4DDgVOSvLUqvpclzFLktTHjJQkTa1hisnfbR+9XjxH3+rw3kcCewD3r6pvAyT5Os3U6S8G3jHENr5XVevmWphkZ5qQfGtVvb1tPivJnsBbAYNSkrQlzEhJ0tRaqJjcZxnf+0Bg3WxIAlTVxiTnAgcxXFAuZD+aqdpP7Gs/EfhQkrVVtXEJ3keSNH3MSEnSVJu3mKyqs5fxvfcGThnQvgE4ZMhtvCTJHwO3AOuAN1TVOX3vcSPw7b71NrTPewEGpSSpMzNSkjTtRjkBz07AlQParwBWD7H+icBLgScCRwF3B85M8vi+97iqqvpPLbqiZ7kkSePGjJQkjb1hrplcToOuH8lQK1Y9r+flOUlOAS6kmaDgt3q21fk9khxFE77suutQE+dJkrTUxi4jzUdJUq9R/jJ5JYOPeq5m8NHYeVXVNcA/A7/W03wFsDpJfzCu7lk+aFsnVNVMVc2sWbOm61AkSdpSY5mR5qMkqdcoi8kNNNdr9NsL+OYit9l/lHUDsANw3wHvwRa8jyRJy8mMlCSNvVEWk6cCj06yx2xDkt2Bx7TLOklyF+ApwL/3NJ8O3AQc1tf9cOBCZ6mTJI0pM1KSNPZGec3k+4GXA6ck+d80R0uPBy6n5ybLSXYDLgaOq6rj2rbXAPcHzgL+B9iN5l5Z96QnFKvqR0neCRyd5BrgfOA5wL40U6tLkjSOzEhJ0tgbWTFZVdcl2Rd4J/BxmtNvvgi8uqqu7ekaYFtu/yvqRcDT28ddgZ8C5wK/X1X/0fdWxwDXAq+iCdKLgGdX1WlL/qEkSVoCZqQkaRJk8xnB1WtmZqbWr18/6mFIkpZZkvOqambU45gU5qMkTY+5MnKU10xKkiRJkiaUxaQkSZIkqTOLSUmSJElSZxaTkiRJkqTOLCYlSZIkSZ1ZTEqSJEmSOojQWXkAABOBSURBVLOYlCRJkiR1ZjEpSZIkSerMYlKSJEmS1JnFpCRJkiSpM4tJSZIkSVJnFpOSJEmSpM4sJiVJkiRJnVlMSpIkSZI6s5iUJEmSJHVmMSlJkiRJ6sxiUpIkSZLUmcWkJEmSJKkzi0lJkiRJUmcWk5IkSZKkziwmJUmSJEmdjbSYTHKfJJ9OcnWSnyb5TJJdh1hvJskJSf4ryfVJvpPkE0nWDuh7aZIa8Dh4eT6VJElbzoyUJI27VaN64yR3BM4EbgSOAAp4E3BWkodU1XXzrH4osDfwN8AG4N7AnwHrkzysqi7v638GcGxf20Vb/CEkSVoGZqQkaRKMrJgEjgT2AO5fVd8GSPJ14FvAi4F3zLPuX1TVpt6GJOcCG9vtvr6v/4+rat1SDVySpGVmRkqSxt4oT3M9EFg3G5IAVbUROBc4aL4V+0OybbsM2ERzBFaSpElmRkqSxt4oi8m9gQsHtG8A9uq6sSQPBHYG/nPA4qe1143cmGSd14JIksacGSlJGnujLCZ3Aq4c0H4FsLrLhpKsAv6e5qjrB/sWnwa8AtgPOAy4ATg5yeFdByxJ0goxIyVJY2+U10xCM6FAvyxiO+8BfhN4SlXdLnyr6hW323hyMrAOeAtw4qCNJTkKOApg110XnDhPkqTlMHYZaT5KknqN8pfJK2mOvPZbzeCjsQMleQtNsL2wqj6/UP+qugU4Cdglyb3m6HNCVc1U1cyaNWuGHYokSUtlLDPSfJQk9RrlL5MbaK4J6bcX8M1hNpDkGOB1wCur6uMd3nv2yO6go76SJI2aGSlJGnuj/GXyVODRSfaYbUiyO/CYdtm8kryS5p5bx1TVu4d90/bakUOA71TVDzqOWZKklWBGSpLG3iiLyfcDlwKnJDkoyYHAKcDlwPtmOyXZLcnNSV7f03Yo8C7gdODMJI/ueezV0++5ST6Z5PlJ9mnXOwt4JPDalfiQkiQtghkpSRp7IzvNtaquS7Iv8E7g4zSn1XwReHVVXdvTNcC23L7w3b9t37999DobeHz790aaqdDfRnPtyfXAV4D9q+qMpfw8kiQtFTNSkjQJUuUlEfOZmZmp9evXj3oYkqRlluS8qpoZ9TgmhfkoSdNjrowc5WmukiRJkqQJZTEpSZIkSerMYlKSJEmS1JnFpCRJkiSpM4tJSZIkSVJnFpOSJEmSpM4sJiVJkiRJnVlMSpIkSZI6s5iUJEmSJHVmMSlJkiRJ6sxiUpIkSZLUmcWkJEmSJKkzi0lJkiRJUmcWk5IkSZKkziwmJUmSJEmdWUxKkiRJkjqzmJQkSZIkdWYxKUmSJEnqzGJSkiRJktSZxaQkSZIkqTOLSUmSJElSZyMtJpPcJ8mnk1yd5KdJPpNk1yHXvUOStyX5fpKfJflykscN6LdNkqOTXJrkhiQXJHnm0n8aSZKWjhkpSRp3Iysmk9wROBN4AHAE8DzgfsBZSXYcYhMfBI4EXg88Ffg+cEaSh/X1Ox44FngPcACwDjgpyZOX4GNIkrTkzEhJ0iRYNcL3PhLYA7h/VX0bIMnXgW8BLwbeMdeKSR4K/C7wwqr6cNt2NrABOA44sG3bGXgN8Naqenu7+llJ9gTeCnxuGT6XJElbyoyUJI29UZ7meiCwbjYkAapqI3AucNAQ6/4c+FTPujcDnwT2S7JD27wfsD1wYt/6JwIPTrJ2iz6BJEnLw4yUJI29URaTewMXDmjfAOw1xLobq+r6AetuD+zZ0+9G4NsD+jHE+0iSNApmpCRp7I2ymNwJuHJA+xXA6i1Yd3b57PNVVVUL9JMkaZyYkZKksTfKayYB+gMMIEOslyHXHbbf7RcmRwFHtS+vTXLREGNaKb8M/HjUg5gw7rPu3Gfduc+6G7d9ttuoB9Bn7DJyzPMRxu87NQncZ924v7pzn3U3jvtsYEaOspi8ksFHPVcz+IhqryuAQdOjr+5ZPvu8Okn6jrz297udqjoBOGGBMYxEkvVVNTPqcUwS91l37rPu3Gfduc/mNZYZOc75CH6nFsN91o37qzv3WXeTtM9GeZrrBprrNfrtBXxziHXXtlOn9697E7dd/7EB2AG474B+DPE+kiSNghkpSRp7oywmTwUenWSP2YYkuwOPaZcttO52wCE9664CngN8vqpubJtPpwnOw/rWPxy4sJ0ZT5KkcWNGSpLG3ihPc30/8HLglCT/m+a6jeOBy4H3zXZKshtwMXBcVR0HUFVfS/Ip4F1JtgM2Ai8B1tITilX1oyTvBI5Ocg1wPk2Y7svCU6uPq7E9vWiMuc+6c5915z7rzn02NzNycfxOdec+68b91Z37rLuJ2WfZfBK3FXzzZFfgncDv0Fzw/0Xg1VV1aU+f3WmC8I1VdWxP+y8Bb6a5MfPdgAuA11bVl/reY1vgaJobQN8TuIgmdD+9PJ9KkqQtZ0ZKksbdSItJSZIkSdJkGuU1k1MpyX2SfDrJ1Ul+muQz7dHnrts5Okkl+be+9jsn+f+TfDvJdUmuSvLvSQ5fuk+xspZ7nw3o99y233cXP+rRWol9luTSdln/4+Cl+RQra6W+Z0nuneRDSX6Q5MYkG5O8Zcs/wcpbgX/PXjDHd2z2cc+l+zQaB2Zkd2Zkd2Zkd2ZkN9OUj6O+z+RUSTOz3pnAjcARNNfAvAk4K8lDquq6IbezB3AM8KMBi7cHbgbeAlxKM1Pfc4CPJ1lTVe/c0s+xklZon/X2uxvNaWU/2JJxj9IK77MzgGP72sbtvnMLWql9luaUxHNpTkt8JfBDYHdgzy36ACOwQvvsn4Hf6F8FOA24pKom9r9Tbc6M7M6M7M6M7M6M7Gbq8rGqfKzQA3gVcAuwZ0/bWppg+8MO2zmDZgKGLwH/NuQ6Xwa+Mep9MO77jOaC5zOAjwDfHfXnH+d9RvN/xE4c9eedsH12OvAfwHaj/syTss8G9H8sTTC/bNT7wMfSPszI8d9nZuTw+8yMXNQ+2yoyctry0dNcV9aBwLqqmr3HF9VMvX4uQ86cl+R3gUfQTJjQxU+An3dcZxys2D5L8hiaKfFftujRjodRfs8m1bLvsyT3BfYD3l1Vk/jfYr9Rfc+OoLmdxSc7rKPJYEZ2Z0Z2Z0Z2Z0Z2M1X5aDG5svYGLhzQvoHbbhI9pySraU4v+ZOqumKBvkmyKsndkxxF8x/ouxYx5lFbkX2WZvr8E4C39f7HP6FW7HsGPC3J9e11Desm9VoQVmafPaZ9/lmSL7T77MokH0ty90WNerRW8ns2u84v0dw78Z+q6icdxqrJYEZ2Z0Z2Z0Z2Z0Z2M1X5aDG5snYCrhzQfgWweoj13wb8N83pJQt5Gc1R1h8D7wFeVVUfG26YY2Wl9tlraa6dmbiLvAdYqX12GvAKmv8TdhhwA3ByJnMii5XYZ7/SPn+o7XsAzffuKcAZSSbt3+OV/Pds1sHAXYCPdlhHk8OM7M6M7M6M7M6M7Gaq8tEJeFbeoHuxZKGVkjwWeD7wiGpPjF7Ap4B1wC/T/Nz+7iS3VNX75l9tLC3rPkuyJ80Fzk+vqhsWPcrxsuzfs6p6Rd+6J9N8594CnDj8UMfGcu+z2SD8UlXNniZ2ZpKraU5J2Q/4Px3GOw5W6t+zWUcAm4DPdVhHk8WM7M6M7M6M7M6M7GZq8nGSqvytwZU0Ryv6rWbwEYxe7wM+CHw3yd3aGdVWAdu2r3fo7VxVm6pqfVWdXlUvBT4OvL09VWWSrMQ++xuaWbfW9fTbnuZMqLu1pw5MkhX7nvWqqluAk4BdktxrcUMfmZXYZ7OnnXyhb/3Pt88P7z7skVrR71n7nXoi8ImqunnLhq4xZUZ2Z0Z2Z0Z2Z0Z2M1X56C+TK2sDzXnU/fYCvrnAug9sH/9rwLIrgT9g/us91tMctbgHMEn3hlqJfbYXsBuD/wO/Evhr4NVDjnccjPJ7NnvUrcvRtHGwEvtsQ9s21765deFhjpWV/p4dDmyLp7huzczI7szI7szI7szIbqYqHy0mV9apNEc+96iqS+AX99R5DPC6BdbdZ0Dbu2i+PK8AFrog/reBa1ngHlJjaCX22aHAHfr6vQ54JM3FzJP0fyxgRN+zJKto9td3avLu/7cS+2wdzb3Z9qe5RmvW/u3zVxYz8BFa6e/Z84GvV9XXFjtgjT0zsjszsjszsjszspvpyseVvA/JtD+AHWm+BN+gmRr4QOAC4BLgTj39dqO5F83rF9jel+i77wzwYuDDNBd7/zbwDJpzzQt47aj3wTjuszn6fYTJvYfWSnzPntt+r55P8w/focA57ffs0FHvg3HcZ2377M2L/x54EvBSmiONZwEZ9X4Yx33WLntEu9+Gvj+Xj8l7mJHjuc/m6GdGzv89MyMX8T3bWjJy2vLRayZXUFVdB+xLM0PTx4FPABuBfavq2p6uoTkCsZj/fb5Bc5rO22nOM383zQQDT62qv1j86EdjhfbZVmWF9tlGYGeaGcc+T3OO/43A/lU1cff/W6nvWVV9lOb/XPwWzUx/f0YzEcPTqk2FSbHC/20eQRO4n9iCbWjMmZHdmZHdmZHdmZHdTFs+ZoL+t5EkSZIkjYmpP0IlSZIkSerOYlKSJEmS1JnFpCRJkiSpM4tJSZIkSVJnFpOSJEmSpM4sJiVJkiRJnVlMSpIkSZI6s5iUtOyS7J7k0lGPQ5IkSUvHYlLSZpI8KMnNSX5njuX7JflSkmuTbEryniR32IL3OzjJTUnut/hRS5K0vMxH6fYsJiUN8g7g3Kr6Qv+CJH8EnA58H/gD4DTgZcBfL/bNquqzwDeAv1jsNiRJWgHmo9QjVTXqMUgaI0l+A/i/wMFVdUrfsicCnwf+pKre3tN+OrAPsKaqfjpgm7sDX6qq3ed53+cDHwUeVFUbtvyTSJK0dJYqH5PsAGw3z1v9rKpu6dmG+aix5S+Tkvq9FPgJ8LnexiTb0Bxd/SrwV33rfAnYHnhQT//3JrkqyVXA14FdZ1+3j9/q28ZngOuB/7WUH0aSpCWyJPkIfBC4Zp7HY/u2YT5qbFlMSmMqyfZJ/iTJ15Jcn+TqJOuTvLynzy8n+dskl7fXVFzevr5737bukOTYJBe127oqyTeSvK2v3yrgYOALVfXzviHtB+wF/E1tfkrDTe3zXWcbquqlVXW3qrob8BDgO7Ov28e/9W6gqq4FzgEO6byzJElTYyvIx8OrKvM8vtS7AfNR42zVqAcgaXNJtgfOAB5Pc9rMicANwIOBZwDvSXJXmtNt9gQ+BJwPPBx4CbBvkkdV1TXtJv8WeCHwMeCdwLbA/YB9+976kcCdgP8YMKznALcA5yT55b5l92ifr2HLfBnYL8kDquq/tnBbkqStjPloPmq8WExK4+nVNEH5lqr6094F7ek0AH9CE3gvq6r39iz/GvCedvmftc1PB/5PVR2xwPvu1T5fPGDZPjQhO2jZrEsW2P5CZre9N2BYSpL6mY/mo8aIp7lK4+kw4ErguP4FVXVr++fTgU3ACX1d3gf8uF0+62pg7yQPYn5r2ucrehvbI627AicDvzPgcSXwg6r6n0EbrapL55t8p8dP2uedh+grSZo+W1U+dmA+aiz5y6Q0nu4HfK2qbpinz1pgfVXd3NtYVTcnuQh4RE/zq4GPA99IcglwFs2U5af1hC/A7LUe6XuvPdrnr1TVv/QuSLIWWA38w8Ifa0Gz7+s005KkQcxHaYz4y6Q0vpYsMNopzHcHngecCTwB+Czwpfb6k1mb2ued+jZxp/Z50DUfz2qfP7UEQ519303z9pIkTTPzURoTFpPSePpv4IHtvajmcglw/3aGuV9oX/8qfddnVNUVVXViVR1JcyT1L2mmHz+op9uF7fP9+t5r9t6Rd+l7r+1pJjS4CPjnhT7UEPbsG4ckSb3MR2mMWExK4+kTNKfG/O/+BUlmT3X5LM01HC/q63Jk235y23/bJHfr7dBOXf7V9mXvUdav0gTjo/u2+U2ae1zt19f+Zpojuq/svcHyFng08MOqumgJtiVJ2vqYj9IYyea3w5E0au0RzX+hOTJ6Bs305zfQzOJ2/6p6Yjv1+VeA+9LcAPmrNFOf/z7wLeDXquqaNii/D5za9vkRzfUkL6E5oPSg3okBknyY5mjsvarqxp72vwZeSRPkZwMH0Exi8MdV9fa+8T8dOJbm1J6jaAL5Pf0z7/Wtcyfgh8CHquoVHXeZJGkKmI/mo8aLxaQ0ppLcAfgj4HdpAvEGmhD88OxU50nWAG8EDqS5l9UPgVOAN1TVj9s+27d9ntBu50404XkmzdTq3+p730cB/w48q6r+sad9e5pTfw4D7gicB/x5VZ0+YOzHAX9ME8ifAH4NOBdYXVVXzfF5jwA+Ajy4qjyNR5I0kPkojQ+LSUmbSXI6sGNVPXaR658GXFZVL29f3xW4ivnD8rx2nWcsctiSJC0r81G6Pa+ZlDTIHwG/keRJi1z/4TTXrMx6GPC9eYLyYODBwGsX+X6SJK0E81Hq4X0mJW2mqjawyH8f2lOL7g2c39P8cG6b0GDQ+30W2H6u5ZIkjQPzUbo9f5mUtNQeDlxaVVf0tD2C24enJEnTxnzUVsdiUtJSezibB+O8R14lSZoC5qO2Ok7AI0mSJEnqzF8mJUmSJEmdWUxKkiRJkjqzmJQkSZIkdWYxKUmSJEnqzGJSkiRJktSZxaQkSZIkqTOLSUmSJElSZxaTkiRJkqTOLCYlSZIkSZ39P7A+i+3H1lBJAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 1080x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "unity = np.diag([1]*2).astype(np.float64)\n",
    "Ds = [dp, dp]\n",
    "Rs = [rp, rp]\n",
    "\n",
    "fullCorr = unity.copy()\n",
    "for i in range(0, 1):\n",
    "    for j in range(0, 1):\n",
    "        if i == j:\n",
    "            fullCorr[i+1, j] = 0.99\n",
    "            fullCorr[i, j+1] = 0.99\n",
    "\n",
    "mCorr = unf.model(Ds, Rs, fullCorr)\n",
    "m = unf.model(Ds, Rs, corr=unity)\n",
    "\n",
    "POIsCorr = mCorr.postFitUncerPOIs()\n",
    "POIs = m.postFitUncerPOIs()\n",
    "\n",
    "Xs = np.array([0.0, 1.0])\n",
    "plotResult(Xs, POIs, POIsCorr)\n",
    "plotErrorBarRatio(Xs, POIs, POIsCorr)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "WARNING: chi2=1.28, investigate the profile LH for \n",
      "--> (iPOI, Min, Max, N) = (0, 3.71e+01, 1.63e+02, 10)\n",
      "WARNING: chi2=1.28, investigate the profile LH for \n",
      "--> (iPOI, Min, Max, N) = (1, 3.71e+01, 1.63e+02, 10)\n",
      "WARNING: chi2=1.28, investigate the profile LH for \n",
      "--> (iPOI, Min, Max, N) = (0, 3.71e+01, 1.63e+02, 10)\n",
      "WARNING: chi2=1.28, investigate the profile LH for \n",
      "--> (iPOI, Min, Max, N) = (1, 3.71e+01, 1.63e+02, 10)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "unity = np.diag([1]*2).astype(np.float64)\n",
    "Ds = [dp, dp]\n",
    "Rs = [rp, rp]\n",
    "\n",
    "fullCorr = unity.copy()\n",
    "for i in range(0, 1):\n",
    "    for j in range(0, 1):\n",
    "        if i == j:\n",
    "            fullCorr[i+1, j] = 0.0\n",
    "            fullCorr[i, j+1] = 0.0\n",
    "\n",
    "mCorr = unf.model(Ds, Rs, fullCorr)\n",
    "m = unf.model(Ds, Rs, corr=unity)\n",
    "\n",
    "POIsCorr = mCorr.postFitUncerPOIs()\n",
    "POIs = m.postFitUncerPOIs()\n",
    "\n",
    "Xs = np.array([0.0, 1.0])\n",
    "plotResult(Xs, POIs, POIsCorr)\n",
    "plotErrorBarRatio(Xs, POIs, POIsCorr)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "nBins = 1                                                                        \n",
    "Ds = [np.array([100]*nBins), np.array([100]*nBins)]                              \n",
    "Rs = [np.eye(nBins), np.eye(nBins)]                                              \n",
    "                                                                                 \n",
    "def corrMatrix(rho):                                                             \n",
    "    unity = np.eye(2*nBins)                                                      \n",
    "    fullCorr = unity.copy()                                                      \n",
    "    for i in range(0, nBins):                                                    \n",
    "        for j in range(0, nBins):                                                \n",
    "            if i == j:                                                           \n",
    "                fullCorr[i+nBins, j] = rho                                       \n",
    "                fullCorr[i, j+nBins] = rho                                       \n",
    "    return fullCorr                                                              \n",
    "                                                                                                    \n",
    "nll0s, nll1s = [], []\n",
    "b1min, b2min = [], []\n",
    "rs = np.linspace(-.99, +0.99, 50)\n",
    "for r in rs:                                                 \n",
    "    m = unf.model(Ds, Rs, corrMatrix(r))                                         \n",
    "    _, nll = m.unfold()\n",
    "    bs = m.postFitUncerPOIs(chi2Tol=5)\n",
    "    b1min.append(bs[0][0][2] + bs[0][0][1])\n",
    "    b2min.append(bs[1][0][2] + bs[1][0][1])\n",
    "    nll0s.append(nll)\n",
    "    nll1s.append(m.NLL([[98], [123]]))\n",
    "    \n",
    "plt.figure()\n",
    "plt.semilogy(rs, nll0s, 'o')\n",
    "plt.xlabel('$\\\\rho$')\n",
    "plt.ylabel('Minimum NLL');\n",
    "\n",
    "plt.figure()\n",
    "plt.semilogy(rs, nll1s, 'o')\n",
    "plt.xlabel('$\\\\rho$')\n",
    "plt.ylabel('NLL(98, 123)');\n",
    "\n",
    "plt.figure()\n",
    "plt.plot(rs, b1min, 'o')\n",
    "plt.plot(rs, b2min, 'o')\n",
    "plt.xlabel('$\\\\rho$')\n",
    "plt.ylabel('Error Bar on Truth Bin Content');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "b1s = np.linspace(80, 130, 100)\n",
    "nll1s, nll2s, nll3s = [], [], []\n",
    "\n",
    "for b1 in b1s:\n",
    "    m1 = unf.model(Ds, Rs, corrMatrix(-0.9))\n",
    "    nll1s.append(m1.NLL([[b1], [100]]))\n",
    "    m2 = unf.model(Ds, Rs, corrMatrix(-0.0))\n",
    "    nll2s.append(m2.NLL([[b1], [100]]))\n",
    "    m3 = unf.model(Ds, Rs, corrMatrix(+0.5))\n",
    "    nll3s.append(m3.NLL([[b1], [100]]))\n",
    "    \n",
    "plt.plot(b1s, nll1s);\n",
    "plt.plot(b1s, nll2s);\n",
    "plt.plot(b1s, nll3s);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}