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  1. {
  2.  "cells": [
  3.   {
  4.    "cell_type": "markdown",
  5.    "metadata": {},
  6.    "source": [
  7.     "# **ALGORITHM ANALYSIS 101 - INTRODUCTION**"
  8.    ]
  9.   },
  10.   {
  11.    "cell_type": "code",
  12.    "execution_count": 1,
  13.    "metadata": {},
  14.    "outputs": [],
  15.    "source": [
  16.     "import matplotlib.pyplot as plt\n",
  17.     "import matplotlib.image as mpimg\n",
  18.     "import numpy as np"
  19.    ]
  20.   },
  21.   {
  22.    "cell_type": "markdown",
  23.    "metadata": {},
  24.    "source": [
  25.     "## 1. *Mathematics Review*"
  26.    ]
  27.   },
  28.   {
  29.    "cell_type": "markdown",
  30.    "metadata": {},
  31.    "source": [
  32.     "This section lists some of the basic formulas you need to memorize or\n",
  33.     "be able to derive and reviews basic proof techniques."
  34.    ]
  35.   },
  36.   {
  37.    "cell_type": "markdown",
  38.    "metadata": {},
  39.    "source": [
  40.     "#### 1.1 *Exponents*"
  41.    ]
  42.   },
  43.   {
  44.    "cell_type": "code",
  45.    "execution_count": 2,
  46.    "metadata": {},
  47.    "outputs": [
  48.     {
  49.      "data": {
  50.       "image/png": 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\n",
  51.       "text/plain": [
  52.        "<Figure size 1080x720 with 1 Axes>"
  53.       ]
  54.      },
  55.      "metadata": {},
  56.      "output_type": "display_data"
  57.     }
  58.    ],
  59.    "source": [
  60.     "img = mpimg.imread(\"img/exponents.png\")\n",
  61.     "plt.figure(1,figsize=(15,10))\n",
  62.     "plt.xticks([]),plt.yticks([])\n",
  63.     "plt.imshow(img)\n",
  64.     "plt.show()"
  65.    ]
  66.   },
  67.   {
  68.    "cell_type": "markdown",
  69.    "metadata": {},
  70.    "source": [
  71.     "#### 1.2 *Logarithms*"
  72.    ]
  73.   },
  74.   {
  75.    "cell_type": "markdown",
  76.    "metadata": {},
  77.    "source": [
  78.     "In computer science, all logarithms are to base 2 unless specified otherwise."
  79.    ]
  80.   },
  81.   {
  82.    "cell_type": "code",
  83.    "execution_count": 3,
  84.    "metadata": {},
  85.    "outputs": [
  86.     {
  87.      "data": {
  88.       "image/png": 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\n",
  89.       "text/plain": [
  90.        "<Figure size 1080x720 with 1 Axes>"
  91.       ]
  92.      },
  93.      "metadata": {},
  94.      "output_type": "display_data"
  95.     }
  96.    ],
  97.    "source": [
  98.     "img = mpimg.imread(\"img/log1.png\")\n",
  99.     "plt.figure(2,figsize=(15,10))\n",
  100.     "plt.xticks([]),plt.yticks([])\n",
  101.     "plt.imshow(img)\n",
  102.     "plt.show()"
  103.    ]
  104.   },
  105.   {
  106.    "cell_type": "code",
  107.    "execution_count": 4,
  108.    "metadata": {},
  109.    "outputs": [
  110.     {
  111.      "data": {
  112.       "image/png": 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\n",
  113.       "text/plain": [
  114.        "<Figure size 1080x720 with 1 Axes>"
  115.       ]
  116.      },
  117.      "metadata": {},
  118.      "output_type": "display_data"
  119.     }
  120.    ],
  121.    "source": [
  122.     "img = mpimg.imread(\"img/log2.png\")\n",
  123.     "plt.figure(3,figsize=(15,10))\n",
  124.     "plt.xticks([]),plt.yticks([])\n",
  125.     "plt.imshow(img)\n",
  126.     "plt.show()"
  127.    ]
  128.   },
  129.   {
  130.    "cell_type": "markdown",
  131.    "metadata": {},
  132.    "source": [
  133.     "#### 1.3 *Series*"
  134.    ]
  135.   },
  136.   {
  137.    "cell_type": "code",
  138.    "execution_count": 5,
  139.    "metadata": {},
  140.    "outputs": [
  141.     {
  142.      "data": {
  143.       "image/png": 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\n",
  144.       "text/plain": [
  145.        "<Figure size 1080x720 with 1 Axes>"
  146.       ]
  147.      },
  148.      "metadata": {},
  149.      "output_type": "display_data"
  150.     }
  151.    ],
  152.    "source": [
  153.     "img = mpimg.imread(\"img/series1.png\")\n",
  154.     "plt.figure(4,figsize=(15,10))\n",
  155.     "plt.xticks([]),plt.yticks([])\n",
  156.     "plt.imshow(img)\n",
  157.     "plt.show()"
  158.    ]
  159.   },
  160.   {
  161.    "cell_type": "code",
  162.    "execution_count": 6,
  163.    "metadata": {},
  164.    "outputs": [
  165.     {
  166.      "data": {
  167.       "image/png": 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\n",
  168.       "text/plain": [
  169.        "<Figure size 1080x720 with 1 Axes>"
  170.       ]
  171.      },
  172.      "metadata": {},
  173.      "output_type": "display_data"
  174.     }
  175.    ],
  176.    "source": [
  177.     "img = mpimg.imread(\"img/series2.png\")\n",
  178.     "plt.figure(5,figsize=(15,10))\n",
  179.     "plt.xticks([]),plt.yticks([])\n",
  180.     "plt.imshow(img)\n",
  181.     "plt.show()"
  182.    ]
  183.   },
  184.   {
  185.    "cell_type": "code",
  186.    "execution_count": 7,
  187.    "metadata": {},
  188.    "outputs": [
  189.     {
  190.      "data": {
  191.       "image/png": 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\n",
  192.       "text/plain": [
  193.        "<Figure size 1080x720 with 1 Axes>"
  194.       ]
  195.      },
  196.      "metadata": {},
  197.      "output_type": "display_data"
  198.     }
  199.    ],
  200.    "source": [
  201.     "img = mpimg.imread(\"img/series3.png\")\n",
  202.     "plt.figure(6,figsize=(15,10))\n",
  203.     "plt.xticks([]),plt.yticks([])\n",
  204.     "plt.imshow(img)\n",
  205.     "plt.show()"
  206.    ]
  207.   },
  208.   {
  209.    "cell_type": "code",
  210.    "execution_count": 8,
  211.    "metadata": {},
  212.    "outputs": [
  213.     {
  214.      "data": {
  215.       "image/png": 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\n",
  216.       "text/plain": [
  217.        "<Figure size 1080x720 with 1 Axes>"
  218.       ]
  219.      },
  220.      "metadata": {},
  221.      "output_type": "display_data"
  222.     }
  223.    ],
  224.    "source": [
  225.     "img = mpimg.imread(\"img/series4.png\")\n",
  226.     "plt.figure(7,figsize=(15,10))\n",
  227.     "plt.xticks([]),plt.yticks([])\n",
  228.     "plt.imshow(img)\n",
  229.     "plt.show()"
  230.    ]
  231.   },
  232.   {
  233.    "cell_type": "code",
  234.    "execution_count": 9,
  235.    "metadata": {},
  236.    "outputs": [
  237.     {
  238.      "data": {
  239.       "image/png": 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FN68Xhlh7L8wlds7OzkhJSbHovXIdG05OTlAqlYK2XFzs7e2RmpqK+fPni77u4+OD+Ph4uLm5CR5lXJKlpaXpHY9y4tooV19SL7XW7gsB+cYCoKBduLm5GRwHDY1d+fn5ZuUjdRw0Ng4UlV69eiE2NhYnT57EvHnzzH6/qZilnCeYOteQm27MNjY2yMvL45fNGXP79OmDdu3aieYjlg5XLnN+S0q3rzPWdozFUxT7WbuvE3ugTmhoKCZMmGA0DbVaDX9/f/j5+fGX0pujOM83iPW9MfdotW/fHvfu3UObNm0wa9YseHt76z3dSqFQ6N0cq9FoEBgYCABITU1F7dq1jebzzz//iDY+e3t7/PPPP5Ljff78OWrVqiV5e0MYY1i4cCFcXFywZMkSVKhQAUqlEjdu3DA7LTnikSI1NVW0LgIDA0UfRlClShVoNJoiux9KCrF6t7e3R+nSpc2qdym4Ot21axcuX75ssE65Y37z5s38/UnffvstWrduLWs8UlhSp4Uh1t4LU/YPPvgAt27dsui9ch0bjDG4u7tj3rx5fFvesGGDRTFZwtPTEzt27MC6desEbS0jIwNKpRL79u2Dm5sbjh07huXLlxdbXJbKzc0t0rawYMEC7Nq1i68vhUJhUX3JNRYABe2if//+WLZsmeg4KNbuuGPVHHKNg0Vp8eLF+Prrr7F8+XLY29vLlq6U8wRT5xrFzZz+2VjfLJYOVy6xft4Q3b7OWNsxFo/c+1m3r9OlUqlw8OBBREVFGU1n7Nix6N27NwICAiyKozjPN4j1vRETraysLOzduxcBAQF48uQJv759+/a4dOkSv6xUKjF9+nS9TjI5ORkA4OHhgf/85z966Z86dQrdu3eHnZ0dBgwYIHgsMufatWtm3XTdoUMH7N+/v9ATiNq1a2PAgAGy3AD5119/6cXz6tUr2X84s2vXrlixYgVWrFghWJ+cnIyaNWsK1t2/fx///PMPQkJCUK9ePdy+fVuvQ9c9SXj48CHq169vUWyG0hKr92vXrkGlUsl+sz1Xp/fu3TO6XVhYGAICArBgwQK+/ufOnYsJEyYIjnu59o+xdLg61W1fYnVaWIba+9y5cy0+sd6xYwfq1KmDKVOmwN3dXe91Y2WX69ioXbt2sQ2in332GYKDgwU/2Mo96lqtVgv6AF9fX0RGRgIAnj59avIks6SYN28eWrVqJfoaY0zvWwBzJScnC9qopU+xMzQWvHr1yqx0uHah3R8AwnHQ0Nhl7rdMco2DcuncuTOOHTuGihUr8usGDRqEefPm4fnz56hTp45seUk5TzB1rmGuwvbh5oy5xZGObl9naduRez/r9nWbNm3C1KlT+dd79uyJU6dOoVQpw6fG69evx86dOwXrJk+ejJCQEJQpU0ZSHMV5vkGs7424dLBs2bJYvnw5cnNzBet1v953dXVFWFiYYJ1SqeR/O2bo0KGiX6///PPP/GVJgYGBiI2N1fsl9rCwMIODupghQ4ZArVbj5MmT/DpzvnrnqFQqZGVlCdZxlwzExsaaNViLxWPqkxtL9OrVC66urnrrdX/DhzGGmTNnQqFQYMaMGahSpQoWLVqk977atWvj2bNnAAo+zfrhhx8sjk27w9ZOi6t3bWFhYfDy8jKr3qWQWqdix3zPnj31jnu59o+xdLg61W1fxn6XyVKG2rvuU/TM4ejoiAkTJmDdunWirxsru7nHBpcOlxbH2MmubvqFxT2xS9upU6cwZswYwSWYaWlpOH36NL9cq1atQn1LFBgYWKjf4eJoNBrRxyhzrl+/junTp4u+du3aNTRu3BjPnz8vVAyG2ihg3iTJ0Fhgbt/LtQtd2v2BobHLy8vLrLzkGgeTk5Ph7e1ttC6lqF27tt6HjWfOnEGnTp1knWQB0s4TTJ1rmMvQuCSV1DHXknQsKZduX6fddszp6+Tcz2J93a+//irYZsCAAUZ/t+zSpUui7TY6OlryJAso3vMNUgJIuZGL+7PmwzCqVq3KBg4cyC9nZGSwEydOCLaJjY1lTk5ObP369Ywxxm7fvs2GDx/O/v77b36bAwcOsF27dvE31t+4cYPdv39fkM6OHTtYp06dWHJyMmOMscjISNa2bVvBNgDY3r17Bes8PT3Z4MGD+eWdO3cyV1dXlpuby+Li4tioUaNY/fr1zXpS1tKlS/mnrWVlZbGIiAg2fvx4tmPHDvbll1+yvLw8lpKSYjAebVw8UVFRLDc3l40aNYr16dOH1a9fX3I8UsseGxvL1q9fz9+sfPv2bUE9qNVq9vnnn7OZM2fy6/7zn/8wOzs7vfx+/PFH5uLiws6dO8emT5+u9zAIc/z444/s3Llz7O7du3pp7dixg69zxhhr27atxU/QUqvVrGbNmqJPE+TqNDo62mCdMvbvMc/tt4yMDDZo0CC9416u/WMqHa59GapTTu/evVn//v1F83BxcWGLFy9mjBXs38DAQMZYwfEzevRofjux9j5o0CCLysVJS0tjtWrVEn2NK7vYccGYeccGtw+5tDhLly5l0dHRjLF/27K9vT1f77oMHT9SpKens/fff59pNBrGWMH+8/DwYFlZWYLtli5dqnez9axZs/RuQC9O165dY6VLl2aNGjUyuI23t7fB1+Li4hgA0adMmoNro4wV1Nf48eP5+uLaKNf3atPtCxkTHwv69Olj9lMTq1atKmhzuuOgobHLkn6MS4ujOw6mpKSYHAc2bNjAABSqz2aMsQULFjAA7NmzZ/y6Fi1asNu3b4tub6jtSImZMdPnCdrnGtnZ2aLnGuYwNi5JjdnUmMuY8b7ZUDqWlEu3r9NuO7p9nbF45NzPYn1d6dKl+b5Oo9GwV69eGU2jS5curF27dqxPnz78n6enJ+vevbvZ8UgZU3Jycgr14A9StCDxYRgKpnVpiSnu7u4sLi6uCKZ7pi1fvhz169fH2bNnUb58edja2op+uvfkyRNs2LABN2/eRKNGjTBv3jw4OTkJtpk2bRpu3bqFChUqoGHDhvjuu+/00omPj8eOHTtgZ2eHWrVqYerUqfynXHfu3MHixYtha2uLkSNHwsvLC/PmzeM//fvpp5/4dP744w8sWbIE7dq1w8yZMxEbG4v333/frJu4jx07hv/85z+oUKECvL290b9/f3z66acYOXIkPD09MWnSJCiVStja2iI8PBwA+HiaNGmCb775RhDPtm3bkJKSgl27duHnn39G7dq18X//93+SYjGn7HPnzkVcXBzs7e3RqFEjBAcH869NnToVL1++hI2NDXbu3IlLly7hhx9+QHZ2NgYPHoyhQ4cK8g0PD8eRI0fwxRdfoH379pL3nRgfHx84ODhgypQpemlNmzYNDg4OUKlUWLJkiegnm6bMnj0bubm5yMjIgEKhQI0aNTB27FjB754cO3YMP//8M2xtbUXrFPj3mL969So0Gg1sbW3h5+cn+KV6jlz7x1Q6T548wejRo0Xr9M6dO9iyZQvS0tLAGEPNmjUxePBgeHh4AADWrVuH//3vf7CxsUH37t1x5swZKBQK9OvXD0eOHIFCoYC/vz/+7//+T7S9Gyq7OY4fP46ePXuK3rMSHh6OqKgo0eMCkH5scPtQ7BgbN24csrOz+bYMFPyui3a9b926FXfv3kVycjIUCgWcnJwQEBAg+rs5xqhUKkyZMgXZ2dnIzc3F3r17Bd9mffHFF3j69CmAf9vtrl27cOLECZQpUwYhISEWHf+FERcXh3Xr1vGXPNaoUQOBgYFwcXHht9mzZw+2bNmC33//3WA6pUqVwn//+18MGTLE4li4NsrVV2hoKH799VccOXIEW7duxZ07dxAcHAylUomPP/6Y/9aI+40ssb5Xeyz4+eef0adPH7PGguXLl+Ply5d49eqVwXGQG7scHBzg6OgoGLvMFR8fj//+979QqVSCcZAre05ODj8OiJX9/v37GD58OM6fP2/0mwJToqKikJKSgjNnzuDVq1dQq9VYt26d3r47fPgwzp49K2g7CoUCa9asEY1Ze+zSrS9T5wncuUZcXBxatmwpeq5hDrFxydyYDY25un1z1apVMWLECL5v1qWdzvbt2y0ql3Zfp912Ro4cCWdnZ2zbtg1qtRqpqamoWrUqSpcuLRgvOHLsZ0N93fHjx2Fvb4+QkBCcPn1a9LcWtWnve22dO3fGpEmTzIoJMD6mzJ49G9nZ2Xj16hV/2ebo0aPRsmVLs/MhRUOhUMQzxvTvRdDd7k2ZaBFCiBxWrVoFNze3Ql2KSKxj/PjxWLhwodH7yLKysnDs2DH4+PgUY2SEkDeVUqnE3r17+R94JkQKmmgRQgh55+zatQt+fn7WDoMQQshbTOpE6414GAYhhBAiBU2yCCGElBQ00SKEEEIIIYQQmdFEixBCCCGEEEJkRhMtQgghhBBCCJEZTbQIIUTHrVu38PLlS2uHUaS2bduGGTNmWPTe+Ph4rFq1SuaICCGEkLfLWzXRunnzJu7fv2/tMIiMqD4LflT84sWL1g7jnZGWloaRI0eiUqVKhU7r2LFjMkRUeFlZWXrrJkyYgNevXyMkJMTs9FatWoVhw4bJEVqRKM5+4+bNm8WWV3Gi8ZRY240bN/Ds2TNrh0FIobw1E63Lly+jVatWoj8m9y5xdnZG586dYc5j+0uiy5cvw9fX952uz4iICAQGBqJv376Ij4+3djiyevToEX+sFpc5c+bA0dHR5HYBAQGYOnWqYN2rV68wdepUjBgxAm5ubsjNzZWU1549ewoVsxxOnDiB2bNni74WHByMjRs3mpVeYmIiypQpgwYNGvDr1Go1tm/fjnHjxqFnz57o0aNHoWK2lCX9hqV9JpdXq1atzA3TIGu0CzFcud7l/pdYV3R0NFq2bCn7RGv+/PmYO3cuZs2axf+IMSFFijEm+c/NzY1ZW35+vsHXALCoqKjiC6YEsrOzYy4uLkb3U0ljKNbMzEyr1Kdc+07OOtiwYYNsaZUEt2/f5o/V4vL69WtWtmxZo9vs27ePtWrVimk0GsH72rRpwy+np6ezjz76SFJeR44csTje/Px8plarLX5/XFwc8/T0ZADYuHHjDG73008/CcprypgxY9j169f5ZY1Gw7y9vdn69ev5dVu3bmVnz561LPBCMrffKEyfmZmZyQqGUXkUd7sw1vfSeEqsDYCgrymsmzdvsqSkJH65Y8eOsqVN3j0A4piEudMb943W999/b+0QSjSVSoWkpCTY2tpaOxTJDNVp2bJlizkSIDQ0VJZjTK503lbNmjXjj9XiMmbMGJO/sTR27FhcvHgRCoWCX3fq1ClcuXKFX65SpQqOHz+OlStXmsyrX79+Fse7fPlyHDhwwOL3u7m54cyZM2jatKnR7fz8/ODp6Sk53UmTJuH999/nl7/55hscO3YMPXv25NdNmDABgwcPNj9oGZjbbxSmz5S7jyrOdmGsj7JG30tIUfPy8oKLiwu/fOHCBStGQ94Vb9REKzs729ohvBGUSqW1Q5CspNWpJfer6MrOzpYlneKk0WgkrZNbcR2rOTk5+PXXXzFixAij23Xp0gXlypUTrOvbty9+++03vW3r1q1bqLxKknPnziE1NdXkdikpKejQoYNgnbOzMzQaDU6ePClYL8c9bsWlpPWZxRHPm9ZHEVJYJe18g7wbSlk7AClOnjyJyMhI/PLLL2jatCnS0tIAAEFBQShdurTe9unp6Zg+fTqqVauGiRMnokWLFoLXt23bhvPnzwMoOLEaN26cXhrPnj1DWFgYXrx4gYYNG8LZ2Rne3t6CbVQqFcLDw3H+/Hl06dIF/v7+ovEYcu/ePaxevRrjx4+Hq6srli1bhsaNG2PUqFGoUqUKvx1jDEFBQcjPz4ednR2aN28Of39/QVqRkZGIiYnB3r17ERgYiGnTpgleT05OxpIlS/Dnn3+iefPmCA4ORmhoKGJiYlC3bl0sW7ZMUPbVq1fDxsYGDRs2RNeuXdGsWTPJ5ZLCUJ0CwIIFCwTbpqenY/v27bh69SqCgoL06hMoqIuJEycCMFynUuJJTEzEsWPHjB5jKSkpWLlyJTQaDTp27AgfHx/Y2Njw6UyePBkPHjwwmg5jDCdOnMDp06cN1qmcdOuUO54vXLiAQ4cO4ZNPPuG/pcjIyMCUKVPQokULfPXVV/ivL8MFAAAgAElEQVT5559x9OhR9OjRA7a2tkhMTMT8+fNx4MAB3L17F3PnzoWdnZ3kWCIjI3Ho0CGcPn1a9Fg1FbMljhw5Ant7e/To0QOpqanYtGkT/5r28ebm5qb3XoVCIfi2BgCcnJwwcOBAk3nppq97bJcUjDH88ccfJvfvd999p/dN3qRJk9C5c2c0b96cX6dWq4vkPi1u/w0bNgz79+8HUHBPXUJCAuLi4tCjRw906tQJgOl+w1SfCQB5eXmIiIjA1atXUbNmTUyZMgXly5fX205KH2XK/PnzkZaWZrJdrFixAs+fP7e4fzanrwOA1atX4+rVq6LjqfYYCABbt241awzkcOPt8+fP0bhxYzg7O6NRo0aCcumOgwsXLhT0OwEBAaJ91OHDh/Hjjz/y2xZ23OZiOXHiBKKjo5Gfn49WrVrB19eXzyM5ORkbN25EQkICwsPDERoaioSEBCxatAiNGjUSLbv2uQZX9jVr1kCpVGLYsGH4/fffkZaWJjjeAWGfYujcxpzx35yyKxQKNG/eXFB23XIZq1OpcnNzERERgdTUVPj5+aF27dp622iXXfc45PZRdna20f44JSUFYWFhSE1NRYcOHQRje3JyMjZv3oz09HTY2dkhODgYeXl5CAsLQ1JSEubNm4cKFSoAkOcYI28RKdcXshJ0j5axe1UAMA8PD5aZmcmvc3d3ZytXruSXxe6t+OSTTwTLfn5+bNu2bYJ1ussfffQRCwoKEqz78MMP9dIyBQDr0aMHy83N5dcFBQWxBg0aMMYY27Jli949AE+ePGEPHjwQTa9p06ZG99GIESPY6NGjmZ+fH2OMsezsbDZhwgT+dbGyL1q0yKwymctQvHl5eSbrkzHxujC3HjjG9t/z589ZjRo12G+//SZY7+PjY1Y6XJ0+fvyYX2esThkr3D1apo7np0+f6l0H7+Hhwb799lt+uUWLFmzSpEn8a6NGjWKMMdavXz82c+ZMi+Iyto+ktEFz2Nvbs99//50xxthXX33FNm7cqLdNXl4e27t3r8E0tm/fzrp168Zq1arFVCqVpLzy8/NF8zKkdevW/F/NmjWZq6srv9y/f3/J6Whr2rSp0Xu0GGOsUaNGbMGCBUa3WbhwITt48KDJ/J4/f85q1aplVoxSjR07lk2cOJExxpi/vz+bMmUK/xpXJ1L7DY6h47BTp058Xowxdv/+fQZAUJ95eXkMgOS8pDDVLnRZ2j8by4crl4eHh2C9u7u7YFmOMdBQW9cul9g4CEDQZxrqoxhjgj5KrnFbt//WjYfbh1lZWfy6du3asbVr1/LLUso+duxY/n9/f3/B/9r9kJRzG1PjvxRSys6VQ3fZ3GMVAOvatSt78eIFv27kyJGsc+fOgu10y26oTh0dHQ3m9fz5c9GxferUqXrbcvswOTmZMcbYhAkT2KVLl/hY5DjGSMmHt/UeLVMWL14s+MSxbt26/JOTrly5guPHj+u9Z9++fcjPz+eXVSqV3lPeRo8eLVg+fvy43pPJfH19sW/fPrNjnjdvHsqUKcMvf/zxx3jw4AEAYPDgwdiyZYtg+4oVKyIlJcXsfDj79+9HYGAgAMDe3h5bt27lXxMre9++fS3Oq7CM1Sfwb53q1oVuncph3bp1qF69ut63G9OnT8eTJ08kp8PVac2aNfl1ha1TY6Qcz1Jw9/qUKlUK9evX5//Py8srfJA65IqZU7lyZXTp0gWpqano2bOn3vECFJTl9evXBtMICAjA77//jvv378PDw8Pg72xp5zVq1CjRvAy5evUq/zd16lT+24SrV6/i8OHDktMxV25urtH7crKysnD69GmD3+JxXr9+DR8fnyL75q5bt278fRX37t3j/2eMCT5RN9VvSHHhwgV88cUX/HK1atUwdOhQtGnTRm/bwuYllUql0ltXlP3z4sWLBcval8teuXLF4BhoTt9rqK1rl0tsHASg12eK9VEA+D5KrpjF+m+xeAAILkWuW7cu/vrrL35ZStm7devG/3/v3j0A/35Azh3zUs9tAOPjvxRSy26qXFKNGjUKlStX5pcHDx6MmJgYflms7JbU6bp160TH9tDQUL3xnduHNWrUAFDwDVq7du0AyHtuSN4Ob91ES/smdgCwsbHhO9moqCg4ODjovScnJ4ef2ADA7NmzsXv3bri5ufGXVeh+Le7g4ABnZ2fBuurVqyMnJ8fsmEuVEl7B2aRJE74cTk5O+PTTT7F7924EBgZixowZCAoKMjsPbX369OE7BV1c2Tdt2sSXXexyquJirD6Bf+tUty5061QOR48e1bs/BQDc3d1x6tQpyelwdapUKmWrU2PE6tScS/2sQe6YfXx8EB8fDzc3N6MPfpAy2bW3t0dqairmz59vMi/tR6CXZGlpaXptSFtoaCgmTJig1x51+fv7w8/Pj7+MV26enp64efMmMjIyULduXVy/fh2ZmZm4deuWYDtT/YYUlStXFlzmVbFiRezfv5+/NNEQS/KSavbs2XBzcyu2/llsP3KioqIMjoHm9L3a4y13Sa+dnZ2gXGLjoCXkipnrv7l4pPbfCoVCMFk2dK6hXXZPT09kZGRAqVSibt26/PHesmVLQbmknNsAxsd/KbTLbmzsMlWnUnl4eAiWdS+9FCu7JXV69OhRvXXu7u7Iz8/XG9+N7UM5zw3J2+GNuEdLLqmpqVAoFJg7d65gfWBgoOBTp/bt2+PevXvYvHkzf1/It99+i9atW/PbiKWj0Wj4T4oKw9bWlv+GizGGhQsXwsXFBUuWLEGFChWgVCpx48YNi9PXvv9LF1f2Nm3aYNasWfD29i7Uk8+KmtQ6lcM///wjepJub2+Pf/75R3I6XJ3u2rULly9flqVOjRGrU93juaSRM2buJGXfvn0mB3rdE3ZDPD09sWPHDqxbt05w8qmb17Fjx7B8+XKzYy5uubm5BvetSqXCwYMHERUVZTQNjUaD3r17IyAgoChCBAC4uLigXr16uHjxIsaMGYNz584hNjYWf/75p0X3RRkjdh+ItbVv3x79+/fHsmXLrN4/p6amGhwDzel7tcfbZcuW4fTp03ptXWwc3LBhg9ViXrBgAXbt2oV58+ZhyZIlUCgUFsUj5VzDxcUFx48fh42NDcaMGcMf79pjkTnjoLHxXwrtsq9fvx5KpVK07Kbq1FK6kyqxsltSp2JjuL29PUqXLq33mrF9WJTnhuTN9EZPtB4+fCi4PMCUrl27YsWKFVixYoVgfXJyMv9VeFZWFvbu3YuAgAAsWLCAvwRm7ty5gk5CqVRi+vTpeoNxcnKyhaX51+XLl/kfRK1duzYGDBhQLDfRa5dd+6vy9u3b49KlS/yySqWCnZ2dyU+3iwNXp7p1oV2n5tC9YVX7GBswYIDgMd+ca9eu6T1EwFg6XJ1yl4EUJUN1qn08ly1bVu8Si6ysrCKPzRApMZvD19cXkZGRAICnT59i06ZNBi/ni4iIwJQpU+Du7s6v++yzzxAcHCz4QVvuUeBqtVow0dLNqySerIuZN2+ewR/e7dmzJ06dOqX3zbu29evX49GjR1i9ejW/bvLkyQgJCeE/NJKr31iwYAFWrVqFqKgofPnll1i1ahUaNmxYqDTFJCYm4uXLl3pPTzx16hR69+4te36mcO1Ce1wC9PtnqYz1UVJ07doVrVq1Eh0Dzel7w8LCRMfbCRMm8OWSaxyUK+bk5GRB/23pUyKllB0AVq1ahdatWyMkJAS9e/dGw4YNMXnyZEG5TJ3byEW37GKysrLg5ORkslxS6D799saNG4I+RK6yDxgwQG/dtWvXoFKpzHoIU1GeG5I30xt36aD2r4T/8MMPZr23V69ecHV11Vuv/RStsmXLYvny5fxEh6N77a6rqyvCwsIE65RKpdHf1jFE91P0H374gb8PQKVS6Z30cpelxMbG4tWrV2bnZ4ihsmtfHw0AVatWRePGjfH8+XNZ8tWuU3MfKc7VqW5dWFIPQMGAzsWj0WgEx1hgYCBiY2P17r8ICwvTO0k1lk5JqFPt47ly5cq4e/eu4PVbt24JJhbFSWoblIJ7ihunVq1a+PXXXw1uP2HCBKxbt06wjnuSlLZTp05hzJgxgssZxfIqzCe4gYGBhfodLo5GozHarq5fv47p06cbfH3AgAFG79+6dOkSoqKi9NpcdHQ0P8m6du2abP1G9+7dce7cOQAFT1aT8lthlnBwcNAbY16+fImff/5Z9ryk4NqFLt3+WSpjfZQUvXr1kmUMNNTWtcsl1mdyzOkz5YrZUP8NwKz+W0rZgYKfX7C3twcA0eNdyrmNXKSUvWzZspLKJcW1a9cEy0eOHEH//v35ZbGyW1KngYGBomO7l5eXwQ+hxEg5N0xOToa3t3ex/IQKKQGkPDGD+ysJTx10cXFh586dY3fv3mVxcXGC1wDoPTXM09OTDR48mF+OjY1l69evZ9nZ2Ywxxm7fvs3+/vtvwXuqVq3KBg4cyK/PyMhggwYNEmwTGxvLnJyc+LRu377Nhg8frpeWKQBY+/bt2X//+1/2+vVrtmbNGla7dm2WmJjIGGNs6dKlrGzZsowxxrKyslhERAQbP34827FjB/vyyy9ZXl6eIL2aNWuyr7/+2mB+vXv3Nvr0Mq7snIyMDHbixAnBNnZ2dgwA2759u1llNUS7TqdPn86vT0lJMVmfjP1bF8bqVKoff/yRj2f69Ol6x9iOHTtYp06d+OXIyEjWtm1bs9Lh6jQ6OlpSnarVaqN1aopYneoezw0aNGAHDhxgf/zxBwsODmYeHh6scePGbMuWLYyxgjpavHgxY4yxtm3bssDAQMZYQX2MHj3a7JjUarXRY1VKzFIsXbpU70lTpUuXZk+ePBHdPi0tjdWqVYtduXKFX5eens7ef/99ptFo+Fg8PDwETxMzlNesWbMM5lUcrl27xkqXLs0aNWpkcBtvb2+Dr2k0Gvbq1SujeXTp0oW1a9eO9enTh//z9PRk3bt357eJi4uTtd9wdXVljBU81bF8+fKC+pLab3AMHYcHDhxgVapUYbt27WIqlYrduHGD9e/fn92/f1+QF3SehmcsL1OktAvtvk2sf5bKWB/FlUtsP2rTHgMZYxaNgYbGW+1yiY2D9vb2gj7TUB/FGBP0UXKM21z/zcUzfvx4Ph6u/5ZybEgpO2MFx/vRo0cZY0zveOdIObcxNf5LoV12buzSLTtjTFK5THFwcGD9+vVj58+fZxqNhu3YsYM1adJE8NRDxvTLLlanOTk5zN7e3mh+nTp14p8kyI3tT58+1dvO2D6Ucm64YcMGBkDv/IK8WSDxqYMKZsan1u7u7oz77QYiD4VCgaioKHTv3t3aoUiWlpaGZs2a4cGDB/wThwh5mwQHB2PWrFnWDqNIJSYmwt/fH5GRkXB0dBTdpnfv3mY96MUY6jcIIYS8LRQKRTxjzN3Udm/cpYNvI7Vabe0QzDJ27Fh8//33dLJE3lqzZs0SXAb4NlqzZg0OHTpkcJKlVCrh6+srS15ZWVnUbxBCCHnn0DdaVnT58mW0b98ebdq0gZ+fH2bOnGntkCS5ePEiOnbsaO0wCCFviF27dqFBgwbUbxBCCHkrSP1GiyZahBBCCCGEECIRXTpICCGEEEIIIVZCEy1CCCGEEEIIkRlNtAghhBBCCCFEZjTRIoQQQgghhBCZ0USLEEIIIYQQQmRGEy1CCCGEEEIIkRlNtAghhBBCCCFEZjTRIoQQQgghhBCZ0USLEEIIIYQQQmRGEy1CCCGEEEIIkRlNtAghhBBCCCFEZjTRIoQQQgghhBCZ0USLEEIIIYQQQmRGEy1CCCGEEEIIkRlNtAghhBBCCCFEZjTRIoQQQgghhBCZ0USLEEIIIYQQQmRGEy1CCCGEEEIIkRlNtAghhBBCCCFEZjTRIoQQQgghhBCZ0USLEEIIIYQQQmRGEy1CCCGEEEIIkRlNtAghhBBCCCFEZjTRIoQQQgghhBCZ0USLEEIIIYQQQmT2Vk20bt68ifv371s7DPIOOH36NC5evGjtMMg74sKFC0WSbknrM2/cuGHtEIiZGGPUHxJCiAFvxERr9uzZaN68Ofr27YtmzZqhS5cuGDFiBJo1a4ZHjx4BAC5fvoxWrVrxy+TNkZKSgvnz52Pu3LmYNWsWnj59au2QDIqIiEBgYCB69eqF+Ph4a4dD3nJ///03pk2bhp07d8qetq+vb4npM6Ojo+Ht7Y2WLVtaO5Q3gnafOWPGDIv6zEePHsHZ2RmdO3e2OI7AwED07du32PpDOWLmpKSk8GOOpfuQEEJMYoxJ/nNzc2PF7cmTJ2zEiBH8MgC2YcMGxhhjCQkJ7MsvvxS8FhUVVdwhFourV6/y5S5Jacnhm2++ESyPHDnSSpFI17Rp0xK1D8nb7dNPP7Xofcbael5eXonqM58+fcoKhiR5lLR+Ti5Dhw4V9Jmff/65xX3mX3/9xdLT0wsdU3H2h3LELOc+fNO8re2CkOIGII5JmDuVsuosT4LU1FR8/vnnoq+1bNkSH3zwQTFHZB2xsbElMi05NGjQQLC8e/duK0VCyNulpLX14vS2lv3SpUvo378/v7xmzRqL06pXr54cIRUrOWKWcx++ad7WdkFISVXiLx1s3bo12rVrZ/B1X1/fYozGekJCQmRJJzs7W7a05FKmTBlrh2CQRqOxdghvHLF9RvvROkpaW5eLqeOpJPZzcsnOzpa1z1QqlbKlVVwKG7Pc+7AwirO/fJvbBSElVYn/RssS6enpmD59OqpVq4aJEyeiRYsWgte3bduG8+fPAwC6dOmCcePGmZV+cnIyJk6ciDlz5qBFixYIDQ1FWloaJk2ahEaNGgm2ValUmDhxosG8FixYwP/v6+uLPXv2CF47efIkIiMjkZiYiGPHjiEtLQ0AEBQUhNKlS5sV92effYZffvkFDx480Etr/fr1/OA1bNgw7N+/HwAQEBCAsLAwAECPHj3QtWtXAAXXt4eFhSElJQUdO3aEj48PbGykz9t37tyJBw8eACi4AT4xMVF0n3D5pKamQqPR4LvvvuPzSU5OxubNm5Geno4///wTkZGRyMvLQ1hYGJKSkjBv3jxUqFABP//8M3JycmBra4vDhw9j586dOHDgAA4fPoxmzZqhZ8+eOHToEGJiYviHDmRkZGDKlClo0aIFvvrqK7P2c2RkJKKjo5Gfnw87OzssXLgQdnZ2ets9e/YMq1evho2NDRo2bIiuXbuiWbNmkvK4d+8eTpw4gYSEBCxZsgQ7d+7E48eP8e2336JKlSp626ekpGDlypXQaDSC+uLSad++PVxdXU2mY8yFCxcwe/ZsbN26Fe+//z4yMjKwZs0aPHjwAC1atMDw4cPNitmQ5ORkbNy4EV5eXnz7S0hIwKJFi/Tan1jZR4wYAaDgU2ylUolhw4bh999/R1paGgICApCQkIC4uDjB8S4FYwwnTpzA6dOnYWdnh+bNm8PX1xd2dnZmx5yVlYWvvvoKLi4u+PjjjyXHwDG331i9ejWuXr0q2meqVCqEh4fzfebWrVv5NLhyJSQkYM6cOYiJiUFCQgKcnZ0t/pYgNzcXERERSEhIwOzZs1G7dm3+NS4PsWOM+yb85MmTmDx5smg/Z06fydUn15ZbtWrF1ydXdq7/sbOzQ3BwMPLy8hAQEIC6devy/Y/2ftQeC/z9/c2Kh+szs7OzsX//fr7PnDFjBqpWrSopZk5kZCQOHTqE06dPIzAwENOmTRO8/s0334j2qzExMdi8ebOgXMZwfbmzszMmTpyI/Px8LFmyBADg4uKCgIAAyeU3FfP8+fNFj0PtcdnUPjRUp7pjCiBsF8bqc926dXj48CEaNWqECRMm4H//+x86d+5ssr/UHneM5aXdBsPDw/m+RbcNGhv/zT2XIISYQcr1hcyK92jpgtY9WmKveXh4sMzMTH6du7s7W7lyJb/80Ucf6b3vk08+sSiOrl27sqysLH5du3bt2Nq1awV5BQUFmcxr4sSJ7L333mOMMebn58du376tt42c18AbSmvs2LFs4sSJjDHG/P392ZQpU/j/VSoVv12NGjXYb7/9Jnivj48Pmzp1qkXxREREiK5//vy55HxGjBjB/Pz8WHJyMmOMsQkTJrBLly7xr0+aNIn/f9SoUfz//fr1Y4yJ3x/i4eHBvv32W9HYDO3DLVu2sMePHwvWAWAPHjwQrPPz82Pbtm0TrFu0aJFoXoZw99jk5uby64KCgliDBg1Yfn4+Y6xgHxqqL+10evToYTQdqQCw69evC9Zp70cpMUuRl5dnsv0ZKrv28TN27Fj+f39/f9H/pdiyZQsDIKj7J0+eCI4pKTHn5eWx9957j82aNYtfp9FoLL5Hy1i/wdWFh4eHYL27u7tgWbcP+/DDDwX9GJdO165dBdtpl0sKrg2+ePGCXzdy5EjWuXNnvW3EjjFdhe0zDdWnbltmjLHRo0fz/U92drZe/yM2Fnz44YcWxeXo6GiwzzQnZsZM7yPdfjU7O1tQLinpHDhwgGVnZ/PL2uOzJQzlZeg4bNeund62xvYhR7tOGROOKYbqU7tdJCcnM0dHR8E21apVE4wppvpLjtQ2qN23MCbeBun+YkLkAYn3aJX4SwfNtXjxYpQvX55frlu3Lv9UrStXruD48eN679m3bx/y8/PNzmvBggUoV66cIK+//vpLkNfUqVNN5rVixQqkpaVhz549aNOmjeRvNeTWrVs3/hude/fu8f8zxgSfiFavXh09e/YUvHf69OkIDQ2VNZ5169YZzOfJkyd62wcGBqJGjRoACj51177ktGnTpvz/9evX5/8vVUreL3UHDx6MmjVr6q1PSUkRLKtUKr2ndPXt29eiPLUvgfn444/x4MEDREdHAyjYh4bqS3sfzps3z2g6cpMjL2PtDzBcdu3jp1u3bvz6e/fuAfj3wydzDB48GFu2bBHUfcWKFc2O+ciRI7h165ag31AoFGbFYq7FixcLluvWrcv/f+XKFb0+zNfXV7Qf0/4mGoCgXOaoXLky///gwYMRExOj136Kg6H6FItl//79fP9jb28v6H8MjQW+vr4WjTtyxSyVdr9qb29v9FJ+Md7e3jh8+DC/fPToUYtjkUL3ONQ+ns2hXaeAcEwxVJ/79u3jl7ds2aJ3eaL2OCSVOW1Qu28BLG+DhBD5vHUTLd2TEhsbG+Tl5QEAoqKi4ODgoPeenJwc/jK2wuSlUCigUqkEeTk7O5vMq0qVKli7di12796NWbNmmR2HXDw9PXHz5k1kZGSgbt26uH79OjIzM/UeudyhQwe997q7u8t+0iA2IHP5nDp1Su81c08AioKTkxOUSiV2796NwMBAzJgxQ3S72bNnY/fu3di0aRN/CYebm1uh82/SpAkUCgWuX78OoGAfGqov7X2oO+HUTacoWZqXsfYHGC679vHj6emJjIwMKJVK1K1bF5mZmbh165bZjxl3cnLCp59+CqVSydd7UFCQ2THHxMTA0dERDRs2NCv/whDrMzlRUVF6fVj16tVF+zHddLTLZSnuki/tS4uLC1efXFsWq09Onz59DPY/hsaC6tWrWzTuyBWzVIXtV+3s7AQPODpw4EBhQzJKrI1ZwlidGqrPnJwcfvncuXOyPKzLnDaoS442SAgpnLfyHi1DcnNzYWtrq7fe3E+viyKv9PR0REVF4fDhwxg0aJDs8Ujh4uKC0aNHY82aNdi+fTs0Gg3Wrl2Lr7/+WrBd2bJl9d6rVqtljyc7O9tgPtoDWkmyePFiBAQEYNSoURg1ahQAYMOGDXrbtW/fHi9fvoRarcbx48cRGhqKKVOm4KOPPipU/hqNpuBxov9/4pSdnW2wvoztQ910ilJR5WWo7MC/x4+Liwvmz58PGxsbbN++HWvXrkVycjI2bdpkVl6LFy/GunXrcO3aNaxbtw5AwQ37YnVvTE5Ojug3otaSm5urt0772C5q3KSvqL/VE1OtWjVcu3aNL6+x+jR2j6GhsaAo9qE5MRentLQ0bN26FdWqVTPrvkdrMlanhupTu05zcnJQvXr1Qsdh7TZICCmct+4bLWPatGmDV69e6a1PTk4usrx0L3ETy+v+/fs4deoUFi1ahMDAQNEJhu7Nqg8fPrQ4NmNpde/eHefPn0eFChXQuXNnnD9/Xm9QEft0+f79+xbHY4jYgMzl4+HhIWteYifkWVlZZqfz/fffC27eF5OVlcU/YMTW1hbe3t749ddf8e2335qdny7uWyHu27GuXbsarC9j+1A3HXPofrNpaj8WJi9jDJUdEB4/58+fx6tXr1ChQgX+gQ9iJ1LGfP/99xg2bJjJujelZcuWSEpKku2pY4XtN9q0aSN6mW5R9Jli7t+/D4VCwT+cg2unUo6xwpZdjvoEDI8FRUGumOU2btw47N69G4cOHYKPj4+1wyk0Q/Wp3S64tmyKqWNZ7jYo57kEIcS0d2qi1atXL7i6uuqtX7lyZZHlxZ1QG8qLMYaZM2di48aNmDFjBqpUqYJFixbppVe7dm08e/aMX/7hhx8sjk07LY1GI0ire/fuOHfuHICCJ2OdOXNG7/2xsbH8fW+csLAweHl5WRyTmMDAQIP5tGrVSta8KleurPckrVu3bpn9baexSzW43y8pW7Ysli9frvdJpfa9KZb64Ycf0KZNG3z44YcACvahofrS3oe3bt0ymo5UFSpUwN27d/nlc+fOmdyPluZliqGy6x4/586dg729PQDgzJkzFt1HoVKp9E6QuEuWY2NjRT/gETNkyBCo1WqcPHmSX1eYy8uMtXUpevXqpdeHKZXKIukzxRw5cgT9+/eHo6MjgH/bqdgxpquwZTdUnwAk1ydgeCwoiseqyxWz3IYPH44rV64gLS0NTk5OVotDLobqU7td+Pn5IS4uTrCN7uXRUvpLudugsXaRnJwMb29v+jkOQmT0Rk60tCccpl5LT0/n19nZ2WHPnj3YsGEDf+lQYmIiPvvsM1niEMtr48aNRvP64osv0KhRI9SrVw+2traYPXs2vpmz00sAACAASURBVPvuOxw5ckSwna+vL8LDwxETE4N79+5hyJAhFsWsnda9e/cwc+ZMQVr16tXjbx7+4IMP9G6uBYCNGzfC19eXv8H6xIkTiImJwY4dO8yOJTc312B9co/H1r6R21A+6enpRvPRPqnR/l/75MPf3x8HDx7EpUuXEBISgnbt2iEiIkL0IR8vX74Ujfuzzz7D2bNnARRcurZnzx7Y29sjMTERhw4dAlDwbUl6errgN+BevnyJ2bNnGy2DIfv27QNjDCqVCocPH0ZERAT/WvPmzfn64nD1pS08PNxoOlL5+/tj3rx5OHjwIEJCQhAWFsbvR6kxS6Hd1gytM1R23eOnbt266NKlC4CCm8k9PT3NigUoqPf9+/fj7NmzfL3PmTMH9vb2OHToEMqVKycpZicnJ4SGhmLy5Ml4/fo14uPj8fXXX+PkyZMW/f6Ndr+h29a5NiMWE8fOzg4bN24U9Jnjxo0T9GOG0jHWTxvi4OCACxcugDEGtVqN8+fPY/PmzYJtuGOMa6fcMabbTo2VXQquPoGCtszVZ2Jiol6/aKyshsYCc39WhJOdnW0wP3Ni1mg0Bvsxjql+VWo65cuXx5AhQzB06FCT6Vmal5TjGSgYc4ztQ46x17n65NoFV5/a7aJLly6YOXMm4uPjkZOTgz/++EPvUkIp/aVuGxTLy1A9iZXB2Pi/f/9+HD16FFeuXDG6bwgh0inM+cTe3d2d6X5CQwixDu53ugp7j2F+fj5iYmLQvXt3eQIzkZccMRNC3hxPnz7Fl19+iZ07d1o7FKvq3LkzevXqpfdkRELIm0ehUMQzxtxNbfdOPQyDkLeJXJd3aDSaInmYiaG8CCHvhjt37iAgIABNmzbF559/bu1wrE6j0VAfSMg75o28dJCQd93ly5cxZswY2NraWnRJmW46c+fOLVQ65uRV2JgJIW+G/Px8qNVqDBo0CK1bt7Z2OFZ18+ZNXL9+HTt37sTSpUutHQ4hpJjQpYOEEEIIIYQQIpHUSwfpGy1CCCGEEEIIkRlNtAghhBBCCCFEZjTRIoQQQgghhBCZ0USLEEIIIYQQQmRGEy1CCCGEEEIIkRlNtAghhBBCCCFEZjTRIoQQQgghhBCZ0USLEEIIIYQQQmRGEy1CCCGEEEIIkRlNtAghhBBCCCFEZjTRIoQQQgghhBCZ0USLEEIIIYQQQmRGEy1CCCGEEEIIkRlNtAghhBBCCCFEZjTRIoQQQgghhBCZ0USLEEIIIYQQQmRGEy1CCCGEEEIIkRlNtAghhBBCCCFEZjTRIoQQQgghhBCZ0USLEEIIIYQQQmRGEy1CCCGEEEIIkRlNtAghhBBCCCFEZjTRIoQQQgghhBCZ0USLEEIIIYQQQmRGEy1CCCGEEEIIkRlNtAghhBBCCCFEZjTRIoQQQgghhBCZ0USLEEIIIYQQQmRGEy1CCCGEEEIIkRlNtAghAAC1Wo3s7Gzk5+dbOxRCCCGEkDdeKWsHQAgpGWxsbGBvby9/wuocABrA1kH+tAkhhBBCSiiaaBFCAAAKhaJoEraxK5p0CSGEEEJKMJpoEUKKloK6GUIIIYS8e96pMyDGGNRqNWxtbQH8+wm+Wq0GYwwAUKrUO7VLCLEKjUYDjUYDtVqNMmXKWDscQgghhBDZvVOzCqVSiTt37uDPP/+Ej48PP+F6/PgxTp8+jUuXLmHLli1WjpKQtxtjDA8ePMDVq1dx8eJFdOzYER999BEcHOgeLkIIIYS8Pd6ppw5WqFAB7u7u2Lp1K5KSkpCdnQ0AqFevHvLz8xEbG2vlCAl5+zHGYGdnh1q1aqFx48YIDg7Gy5cvrR0WIYQQQois3qmJFic+Ph4+Pj44f/48v65du3aYNm2aFaMi5N2gUChQs2ZNtGzZEoMGDUKdOnXokl1CCCGEvHXeqYmWWq1GTk4O1q5dC8YYtmzZgu3btyMhIQFZWVlo06aNtUOUTVJSEhISEqBUKkVfT0lJQUJCAhISEpCUlKT3+p07d/D69Wv+/+vXr+POnTtITU0VbKfRaPD69Ws8fvwYCQkJSE1NFdzzVhSePHmCW7du6ZUtJycHt2/fRlpamt57kpKScPr0aWRkZCA/Px9paWm4cuUK9u7diy+//BLbtm3D33//LXjP1KlTMXDgQISEhODPP/8UvPbPP//g8OHD6N69O5o1a4aYmJgi/Vbm3r17uHjxIpYtW4YVK1bw69VqNY4cOYKDBw/i+fPnRZa/Idu3b4eXlxecnJxQo0YNqFQqvW3mz5+Ppk2bIiIiAi9evIBCoUCZ0nZIf54KPz8/LFmyBFWqVCn22AkhhBBCitI7NdHKzc3Fw4cP0bp1a+zbtw+2tra4dOkScnNzUaZMGdSpU8faIcpm1apVGDRoEBISEkRf37NnD4YMGYJBgwZhzZo1eq/PmDEDT58+BQBMmzYNI0aMwIwZM3Do0CHBdmq1GikpKfj+++8xaNAgHD58GLm5ufIXSMu2bdsQEBCAGzduCNbfv38f48ePx7Fjx/TeEx0djblz5+Kvv/5CRkYGjhw5gkWLFuHzzz/H9u3bsXnzZnz33XeC9/j7+yMpKQkrVqzAl19+KXitevXq6NixIxo2bIiGDRuiTp06KF++vPyF/f8WLVqEgIAAhISE4I8//uDX29jY4OnTp1i6dCkeP35cZPkbMmTIEAQFBWHo0KHIz89HSkqK3jbjxo3D+vXr4ebmhooVKxasZPmoVKE0RvoOx5w5c5Cenl7MkRNCCCGEFK13aqKVl5eH5ORk1K5dGw0aNMCwYcPg6OiIo0ePIjU1FZUqVbJ2iLLp27cvOnXqhLVr1+LAgQN6r3fo0AGPHz9G586d4eXlxa/Pzc1FdHQ0+vTpw08c/P390b59e2RlZWHnzp2CdGxsbFCpUiW4uLjgww8/RJs2bWBnJ+13k168eIGzZ89KLpNKpcKCBQtw4cIFPH78WG9CV6pUKVSsWFHvKXYajQYKhQItWrRAuXLlABTcJ9StWzfMnj0bffr0QalSpXD8+HHB++rXr48BAwagZs2auHDhguBSUzs7O5QvXx7Vq1dH27ZtUa1aNf7hKqZER0cjJCRE9Js3Xa9fv8bt27fRtWtX1KhRA4wxZGVl8a8rFAq4urrC3d2dv+ewOFWqVAlVqlRBuXLlkJWVhXPnzultw33TV7169X/3kcIW5cpXQbfunnjy5AnUanVxhk0IIYQQUuTeqYlWdnY2EhMTUblyZQBAnz590LBhQ/z2229ISkpC2bJlrRyhfPr16wcvLy8cOHAA+/fvx+3btwWvf/jhhyhVqhS8vLzQr18/fn1ubi5OnDiB4cOH8xPPTz75BJ6ennBwcEBMTAwSExP57W1tbVGpUiVUr14dLVq0QNu2bVG6dGlJP36blpaGo0ePSi6TRqPBzZs3UalSJTg7O+u9XqlSJXh5eUGtVgtO3LnLGwcPHgxHR0eUKVMGrq6uGDBgAGbOnIlPPvkELVu2xN27dwXp2dnZwdXVFe+99x4cHBzwv//9Dzk5OYLLIvPz8+Hk5GTWt1nXrl3D/v37JV1qqNFokJmZCU9PTzRu3BgVKlTQ26ZJkybw9vYW1EtxYYzh77//hkKhQNu2bXHs2DFcunQJOTk5/DZ37tzBw4cP+UmuRqPBy1dKlClbHo0bN0Hp0qWLPW5CCCGEkKL2zky0srKy8ODBAxw6dAh3794FYwyVKlVC//79UadOHbx69craIcqudOnSmD59OmxsbPDJJ5/o3T+je+KekZGBhw8fgjGGOnXqCL6ZunnzJhQKBcLDw+Ht7Y3JkycLTuzj4uLwyy+/mBXfy5cvERMTI3n7smXLYt++ffjiiy/QqVMnvddr1aqFwMBAXLhwgb+/DCiYDF2+fBkDBw6Eo6MjKlSoAE9PTzRo0AAAULt2bbi4uOil9/z5c2zYsAH169dHSEgIwsPDsXLlSuTn5wMouGzy6tWruHfvnlnlVqvVUKlUku5js7e3R/v27aFSqfDo0SNkZmbqbVOvXj188MEH2LRpk1lxyEGtVuPHH38EYwynT5/G69ev0b9/f3z99df8Nty3gdw3jdx9ZSEhIfwlnHSPFiGEEELeNu/MRIsxhgoVKqBz586CbzucnJwwcODAt+pBGACQmZmJUqVKYdCgQXjvvffw119//T/27jy8iWr9A/h3sqd7aVq6WEopdGFfymZBAUGQVUAQEASvCyIqqMhPQHEB5CpwgSsXBUTEC6gIggiyyCa7ULZCoZRaKbR0C3RJmz05vz/6ZG7TpmlS0qa07+d5fKSznHlnTmZO3syZM1Z3tYqKihAfHw+FQsFPy87OxoULF2weC6VSCYlEgueffx5+fn744YcfkJ6ezs/38vJCkyZNnIrRbDbDYDDAbDZDr9ejpKTE6k5IVUpKSqy6z1Xk6ekJvV4Pk8kEnU6HgoICBAUFVbn82bNnkZ6ejpEjR1pN5zgOUqkUAQEBiI2NRWlpKX799Vfs2LGDnx8cHIyAgAC78SYlJWHfvn34+eef8fPPP+PixYvIzc21mpaWlmY38eI4DmKxGAJB/TtlLXcQ5XI5nn76acTGxuLgwYP8fMaY1b4JBAL4+flBq9VCr9ejX79+kMvl7gidEEIIIaTWNJoxlb28vNChQwd06NCh0rwJEya4IaLalZmZCY7j0LJlS1y7dg0FBQXYvn072rRpA6FQiIyMDAwYMMCqC15aWhp2796NN99806osxhg4juO7A77++uuYOXMmMjMz+S/QoaGhiI2NtRuT2WyG2Wzm/1apVEhJSYFWq0VJSQnu3bsHT09PhIeH2+16WLGcipo2bYrS0lLI5XKoVCqkp6ejY8eONpdljOH48eMoLS2t9CybWCxGREQE/P390bJlS/Tv3x9r1qzBs88+i2eeeQZCoRBdu3ZFcHCw3f3euHEjdu3ahb///pvfptlsxsyZM/llli9fbvf1AmKxGMHBwfXupb4cx0GhUPB3pJ544gnIZDLMnDkTRqMRQqEQYWFhVl0rhUIhhgwZYtVllRBCCCGkoWmQiVZ+fr7dbmyWuwIVf2m3ZeDAgVAoFE794p6fnw+BQFDtnY7a9Mcff0Cn02HQoEF4/fXXMW7cs3jyyf7YtWsXfvzxR1y6dAl9+/ZFYGAgv052djYSExMrPW9069YtfsAIAHj00Ufx0UcfYenSpfD09ESHDh0QExPDd8Wryr59+3Dx4kU+4cjOzoZWq+UTO6lUiu7du2PChAl236vk7+9vd+ASy90fjuNgMpmgVqttdk0rKChAYmIinnrqKTz55JOV5mdlZWHs2LGIi4sDAKxevRrjx4/H22+/jdmzZ6N169bo1KlTtfu9dOlSLFq0iL9DtmTJEmzatAnbtm1Dq1at7K5rIZFIEBoaWqsjG9bE/fv38fjjj/N3RoODg9GzZ09MmjQJcXFxeP3119G6dWtERka6OVJCCCGEkLrVIBOtzMxMvPHGG9Dr9ZBKpZW+nIpEIv5LuOXOiOUOSvnES6/Xw8vLCwkJCQgPD3do23q9HteuXYNAIEBsbCx8fX3d8rB/dnY2JBIJnyAqAgIw6unh2Pbzr7hz5w4yMjKgUCisBgCRSCTw8vKqdDcpKysLPj4+fOIYHR2NwMBAHDlyBHPnzsXq1avRvHnzakcbHDx4MAYPHsz/ffToURw/fhxff/21U/sml8vtJr7e3t78cRcKhZDJZFYj8lkS7L/++gvp6eno0qULP0CKXq/n6+vu3bsICgqySupCQkIwevRozJkzB56enti5c2e1rwXgOM7qOItEIsjlcocGDCmvNt9NVlPXrl1DSEiI1Z3R0NBQfPrpp/jyy9V466238OWXX2LgwIFujJIQQgghpO41yESrVatW6N+/P06fPo0nn3yyUpcsW0mVLWfPnsXixYuxaNEihxOty5cv46effkJpaSnu3r2LxYsXo3PnzjXbkQeQm5tbYZhzDpFR0QgKCsK8efOQl5eHt956y2qdgIAAtG7dulK3PJVKBR8fH6u7X15eXli0aBHi4+Px3nvv4Y033sDEiRNrc5estm3vzk5aWhr/HJ6HhwfCw8Ot3q1lNpuh0Wiwd+9eJCUlWXUdvXr1Kl9ff//9Nz90u0VYWBgmTJiAOXPm1Dh+kUjk8MiMFvX1jtbq1av5AWUqWrzwQ8ye8yHS0tJw/fp1m912CSGEEEIaqgaZaHl5eWHixIkIDAyEWCzGlStXMHnyZKeHb1coFJg3bx4KCwsdXsfPzw9du3bF1atXcfz4cVy7ds0tiZZKpYLBYPjfBI5Dx46dkZl5F0uWLMG9e/cqrRMSEoJu3bqhpKTEavquXbswbNgwtGvXjp8mFovRtm1bxMbGIjU1FUqlkh++u7alpqYiLS0N7du3h0ajqXR3q3z8EokEfn5+yMrK4qf9/fff2L17N/bu3YucnBx8+eWX/DwPDw906NABSqUSR44cgaenJ/r06YPWrVsDKLub1qxZMwwZMgQHDx7EwYMH4evri65duzocv1AodDrR2rlzJ44dO4acnBxIJBKkpqYiOjoaQNldOIPBUOeJjFqtxqlTpyAWiyEUChEUFMTfGQSARxN6o3fv3sjIyMDx48cp0SKEEEJIo8I50x0pPj6eJSYm1mI4rmM2m6FWq3Ht2jUcOXIESqUS48aNQ9u2bSu90Nae1NRUNG3a1OmXGf/3v//FO++8g9WrV+OZZ55xNvwa++OPPzB9+nTcvn0bgYGB+PXXX/kkASh7T1ZmZiY+/vhjjB071mowB4PBgKysLEybNo1/ee++ffswcuRI+Pn5YdiwYViyZInVsTh79iymTJkCf39/jBo1Cu+8847Dsebm5uKPP/7A2LFjHV5n1apVyMvLg9lshre3N6Kjo9GtWzcEBgbCaDTir7/+QkpKCp5++mm+K6NOp8Py5csxffp0yOVypKSk4Pr16zCbzRCJRDAajeA4DiKRCD27d0Jg03CkpKSgqKgIpaWliIqKQlRUlFUcRUVFuHv3LkwmE5o0aWLzvV5VKSgoQElJCZo2bepwt9Jbt25Bp9Pxd2HDwsL4ofn37t2Lbdu24bXXXkOXLl0cjuNBGY1GpKWlQSAQwNvbGwEBAVb7YzAYoFKpUFJSApFI5NQxIoQQQgiprziOO88Yi69uuQZ5RwsoG/DCy8sL0dHRkMlkWLduHb7++msMGDAAo0aNcrgcy10De/bs2YM+ffpYjQhneVeSj49PjeKvqfDwcEyZMgVmsxmenp6VBuSQyWRo2bIlJk+ejLCwMKuYxWIx5HK51fNMzZs3x8KFC2EymRAZGVkpSW3VqhXeffddMMYqJSPV8fPzQ0JCglPrdOrUCWazGRKJBCaTCb6+vvDy8oJQKERWVhbWrl2L7t27QygU8uuIRCJ4eHjg888/x0svvYTQ0FD4+flBIBBAIBDAbDaD4zgIBAI0DWwCMwQIDg5GZGQk1Gq1zTt1vr6+8PHxgcFgcPpZK39/f6ffG9W8efMq5xUUFCAtLc2pHxBcQSQS2R1pUiwWo0mTJk4P+08IIYQQ0hA02ETLws/PD35+fmjTpg22bt2K4uJixMbGIjY21mXvJLp165ZVN72MjAzo9Xp0797d6vmeutCiRQvMmjWr2uX69+9vc7pEIkHnzp2RlJSE6Oho/lhVxd/fHy+88EKNYpVKpQgLC3NqHXuJmUqlwpUrV9CjRw+ruhUKhfD398emTZswevRoRERE2P3yLwD4erM3nDrHcW4Z6MQKY/Dz80FUVJRTXWO1Wi3y8/MhFArh4eFh1eWPEEIIIYQ8uAbbddCWvLw8/P7773jvvfcwYMAATJs2zalnaxyRnJyM9evXIyoqCj179sSdO3cwYsQIl26jLuzatQt9+vSp8ztyD6KkpARFRUXw8fHhu9VZKJVK5ObmIjIyss6eJasTjAEwAZxjv5mo1Wrs3LkTBQUFiI6OhkAgQF5eHs6cOYPg4GDExMSgtLQUZ8+exWuvvcYPbU8IIYQQQso0+q6DtgQFBeG5557DV199hb179yI8PBwikQidOnWqUXkqlQqJiYkoLS3Fk08+yT8jlJeXBx8fHxw+fBgFBQXVJlomkwnnzp2DUqmscpng4GDEx1dbny4zfPjwOtuWq9gbjVChUNT53cU6wXFw5jRmjKG4uBgajcbqfWN5eXkQi8UoKSmBSqVCbm4u9Hp9teWVlpZadZ00m838C5mNRqNVt0zLfMuolpZpJpMJQqEQZrMZYrHY6W6VhBBCCCH1UaO6o2Xx559/YvHixTh//jz69euHjRs31qica9eu4ZlnnkFqaipycnJQUlKCo0ePYvXq1WCMQSaToXv37li6dKndctRqNUaPHo3ff/+9ymVGjhyJn376qUZxEmJhSYLu3r2LRYsWITIyEr169UL37t0BWL/6wPIMmz3p6ekQiURgjMFkMsFgMMBsNkOv10OlUkGj0UAkEkEsFkMgEECv10Oj0UAgEEAqlcJkMkGr1UIul0Ov18PPzw89evSo9eNACCGEEFJTdEfLjujoaLz33nu4cOECUlJScOLECXTq1Mnu8zgV5eTkIDk5GaWlpRg8eDA8PT0hl8vRt29fREREgDEGoVDo0EAAEokE8+bNw8svv1zlMrU6YhszAmYdDEZAZyhLvM1mM3Q6HX+HQigUgjEGvV7PT7cMSMFxHHQ6HXQ6Hf8iaMsXbsu6lpdDWwYJMZlMEAgE0Gq1EAqF0Ov1/IuELetbtsVxHKRSKcxmM/Ly8gCU3Q3RaDRQq9UwGAyQSqUQCoUoKiqCyWRCTk5OvXzBb20LCQnBpEmTEBMTY/POUGlpKTZs2ACdToeBAwdCIBAgJSUFy5YtQ1hYGB5//HHk5ubi9OnT+L//+z+rIf0r2r17N3799Vf+pdCWZEmr1cJoNPLJVVBQEDw8PPi6tAxAIhKJIJVKUVhYCD8/PwQGBlYavIUQQggh5GHVKO9olVdSUoLRo0ejY8eO+Oyzz6pcjjGGwYMHo2nTppgzZw6++uorPPvss5g4cSJeeeUVzJ49u8YxMGZGabESRoMOEHoAzAiTUYt7hWXDeVveuWRv5DmLTZs2YebMmTAajTWOxxaxWAyJRAKxWIzo6Gh4eXlBp9Ph77//Bsdx8PT0hJeXF3x8fODl5QU/Pz/+zsX9+/fh4eGBJk2aQCKRQCqVwmAwQCAQwNPTEyaTCUajEVKpFBKJBF5eXhAIBOA4DjKZjN+uSCQCx3GQy+UQiUT8MhYSiQTe3t78C4HVajUYY5DL5fyIikKhkP8yr9FoYDQaKz3P1Vjdv38f165dg9FoRJ8+fdwdDiGEEEJIvUR3tBx08uRJjB07Fo899pjd5dRqNbRaLQ4cOIDU1FRkZmbi5MmTuHv37gPHoNPp8fGCf+LcuXMAJwDAwJgZRiPj7wgNHz4c7777brVlPfHEE9i+fbvL7+ZwHMffjfDw8OCfqdFqtQDKRvYTCoUQiUT8/y3P4hiNRggEAv55IIFAAMYYOI7j75RZuqpZplkSKEv3Ncv2Letb/l0xRksyxnGc1bNAFcsFwCdwpIy3tzfatm3bKO8EEkIIIYS4WqNMtCxd037//XdcvnwZY8aMQatWreyuIxQKIRAIkJ2djezsbABl7y/q0aMHgoKCYDabazxcvEAgQIuoVjAYzTbncxyHFi1aOFRWSEgIQkJCahRHY1P+XVuk7K6lK4d5NxgMKCoqQmFhIcRiMSIiIlxWNiGEEEJIfdcoE62vv/4aP/30EyZNmoTnn38ezZo1q3YdmUyGfv36oaCgABcvXgQA6HQ6pKamQqVSOf3S2vIkEgmmTZtW4/VJZadOncLu3bsREBCAd955x93hNEpjxoyBRCJBWloaCgsL8fXXX6Nfv37uDosQQgghpE40qkTL8h4txhiGDh2Knj17OpRkWQwYMABhYWG4ffs20tPTcffuXXTq1AldunR5oESLuNaePXug1WrRqlUrPPLII+4Op/FhZoAZMHDgQEilUhQUFPADz7Ru3RrBwcHujpAQQgghpNY1mkQrMzMTly5dwsmTJzF69Gj06dPH6a5j3bp1Q7du3QAAZ8+exfXr1zF8+HB67089UVpairS0NBw5cgR9+vTBoEGDqBuluzCj1V3aXbt2ITk5GSqVihItQgghhDQKjSbR2rx5Mw4dOoQFCxagXbt2NX6eyqJ9+/aIi4uDh4eHiyIkDyo9PR0vvfQSnnvuOfTt2xdSqdTdITVSHCCQV5oaFRVFz2kRQgghpNFosImW2WxGYWEh7t69i2vXrqFZs2Y4cOBAjcq6cuUKzGYzOnTowE+TyWSQyWSuCpc8AIPBgMzMTEyePBm7du2Ct7c3PDw8qDunu3AcAA6FhYVISkrCwYMHoVQqMWvWLEgkEndHRwghhBBSJxpsomU0GnHlyhXs27cPaWlp2LJlS43LWrFiBbRaLTZv3uzCCImrqFQq7Nixg/87LS0NHTp0gEjUYD/eD4UbN25g6tSpyMzMhE6nw6BBgxwePZMQQggh5GHXYL+JLlq0CEajEeHh4Rg8eLDd9yVZXqxr6WpmMpmg0+mQl5eHDz/8ED4+Pujbt29dhU6cpFarcfToUdy6dQvTp0+HRqOBv78/hg4dikcffRRRUVHuDrFRioqKwueffw6NRoNz585hyZIlyMrKohE2CSGEENIocM68nDQ+Pp4lJibWYjiuMWbMGOzZs8dl5a1fvx7jx493WXnEtW7duoXhw4fj0UcfxYIFCxAYGIiZM2fit99+Q+fOnfHDDz+4O8RGz2w2Y9SoUfD398eGDRvcHQ4hhBBCSI1xHHeeMRZf3XIN8o7W3Llz8fLLL7usvLZt27qsLFJ7Jk+eDG9vbwDA1KlTcfPmTTdHRCyUSiV0Oh1fP4QQQgghDV2DTLQ6derk7hBIHRKLxYiMjERKSgratGkDmUyGsLAwGhHSTe7fv4+9e/eib9++aNq0KUwmE/766y/ExcUhISHB3eERmttgsAAAIABJREFUQgghhNSJBplouYrZbAbHcTR6XT0nl8vRq1cvrFy5Ej179oRIJMK1a9cgFArRpEkTd4fX6CiVSnz55Zdo0qQJOnbsCJPJhLS0NAwcOBADBw50d3iEEEIIIXWiQT6jBZQNaJGXlwedTgeJRILQ0FCH1y0pKUFycjIuXbqEyZMn0zDuD4lPPvkEgYGBCA4OxqVLlzBq1CirIflJ3dqyZQtMJhMCAwMRERGBuLg4d4dECCGEEPLAHH1Gq8EmWkajETdu3EBpaSk8PDyces5KqVRi3759WL9+PX755Rf4+PjUYqTEVYqLi3H58mUAwKOPPgqhUOjmiAghhBBCSEPTqAfDAAChUIiWLVvy3f+c4efnh2HDhuH48eO1FB2pDZ6enujSpQsAQCAQuDkaQgghhBDSmDXYRKugoADDhw9Hjx49sHTpUgBAXl4efv/9d/z555/w8vKCUqmEUqlEu3bt0L9/f/Tu3RsAIBKJ4Ovry79XizwchEIhDYBBCCGEEELqhQabaNmiUCgwevRoDB8+HBzHgTEGs9kMkUhk94XGhBBCCCGEEOKMBpto3b9/H8888wxatmzJT1MqlTh8+DAOHToEX19fFBcXg+M4xMXFoWvXrjT0NCGEEEIIIcQlGmyiNW7cOBQWFmLKlCkYOnQoACAoKAjjxo3DuHHj7K5rGSCE4zgolUpIJBIaeZAQQgghhBDisAabaI0YMQJt2rRBu3btnF63uLgYZ8+eRUxMDC5evAixWIzw8PBaiJIQQgghhBDSEDXYRGvAgAFo3bp1jYZmFwgEkMvl6NKlC7RaLSQSSS1ESAghhBBCCGmoGmyi1aNHjxqv6+3tjV69erkwGkIIIYQQQkhjQi8bIoQQQgghhBAXo0SLEEIIIYQQQlyMEi1CCCGEEEIIcTFKtAghhBBCCCHExSjRIoQQQgghhBAXo0SLEEIIIYQQQlyMEi1CCCGEEEIIcTFKtAghhBBCCCHExSjRIoQQQgghhBAXo0SLEEIIIYQQQlyMEi1CCCGEEEIIcTFKtAghhBBCCCHExSjRIoQQQgghhBAXo0SLEEIIIYQQQlyMEi1CCCGEEEIIcTFKtAghhBBCCCHExRplonXu3DmoVCoYjUZ+2u3bt3H06FGo1Wo3Rlb/3Lt3DzqdDmaz2d2hEEIIIYQQ8tBolInW1q1bMW7cOJw6dYqfdvXqVWzZsgUmk8mNkdU/GzZsQHFxMRhjTq+rVCpx4sQJzJ49Gxs2bKiF6AghhBBCCKmfGmWiFR4eDp1Oh+PHj+P06dMAAB8fH0RERMDb29vN0dUvOTk5EAqFEAqFNudrNBokJibi9u3bleYZjQaYDFocPXIY58+fr+1QCSGEEEIIqTcaZaLFGMPcuXNx8OBBrFq1CowxqNVq5Ofnuzu0WmE0GqHVaq26SpZnMpmg1Wr5/8xmMxhjfHdBvV4PrVYLvV5fad2CggJs2LABZ86cqTTP21OOrl3awsfHy7U7RAghhBBCSD3XKBMtk8mEtm3bwtfXF5mZmcjPz4dYLIanp6e7Q6sVu3fvxvDhw/H999/bnH/27FmMHj0aw4cPx5QpU5Camgq9Xo+MjAxwHIePP/4Yzz//PBYtWlRpXYFAAKlUCpFIVGmeVO4JCDwAzvbdMEIIIYQQQhqqyt+OGwEfHx80adIEO3fuxPbt2/Hf//4Xbdq0wcCBA90dWq14+umn0bFjR0RGRmLZsmX48ccf0aJFC4jFYgBAz549wXEcWrVqhf/85z8AgOzsbGzcuBGHDh3Ctm3bsHz5cty5c4cvU61WY8vmTbh2PQWbN2/GmTNncPjwYQwdOhS9e/eGh4cHRCIx9AIDAM4du00IIYQQQojbNMpEKzIyEhxX9uU/ISEBmzZtQnFxMd555x03R1b7SkpKcOrUKUgkEkRGRvLTQ0JCEBgYyP+tUqmwf/9+3LlzBxs3bkT//v3RunVrfr5UKsWwIU8iNq41fvvtNyQkJGDatGnw9/eHTCar030ihBBCCCGkvmlUXQczMzOxYsUKXLt2jR9FT6FQwMvLC7m5uUhOTnZzhLVHIBCgc+fOaNu2LXbv3o3r16/z80wmE4KDg60SLaPRiPz8fERGRuLAgQP8HS8LoUCApsGhaNasGdq0aYOYmBi0aNEC/v7+EAqFfCJLCCGEEEJIY8Q5M2x3fHw8S0xMrMVwapdWq0Vubi7kcjkCAwP5ZOD+/fswGo2QSCTw8/Nzc5SuV1RUhNu3byM7OxseHh4YP348NBoNMjIy4OnpCaVSicTERISGhqJ9+/YAgL///hvHjh1DbGwsfvnlF5w6dQrR0dFYu3atVdnFxcU4cuQIIiMj+XUtrl+/jl9++QXffPMN2rdvj2+//RZeXjQwBiGEEEIIeXhxHHeeMRZf3XKNquugTCZDREREpelNmjRxQzR1p7CwEHfu3EFERAQUCgXmz5+P7777DseOHUPnzp1RWloKb29vKBQKfp2AgAD07t0bfn5+GDlyJFq3bm1z6HuZTIYOHTrYnKdQKJCQkACFQoHAwEBIJJJa3U9CCCGEEELqiwabaN26dQsymQwCgQAmkwkqlQqMMXAcB5PJBJPJxA9jbsFxHAQCAQwGA/R6PYRCIQIDA6FQKJwekbC4uBj37t1DcHAw5HK5q3fPKffu3cPff/+NLl26oGnTpnj55ZeRm5uLHTt2QKFQQCKRQCKRwNfXl1/Hx8cHPj4+AMoS0a5du9osWyKRoHnz5jbnBQYGIjAwEL1793b5PhFCCCGEEFKfNdhEa+vWrQgPD4dUKkVpaSkuXboEg8EAkUiE0tJSlJaWQqPRwGQyAShLskQiEeRyOfLy8nDv3j14eHhg+PDhGDJkCGJjY53aflpaGn777Tc899xzVoNOuMO9e/eQnp5u9QxWQkIClixZgieeeALh4eGQyWTw8PBwY5SEEEIIIYQ0HA020fL29savv/6KjIwM+Pr64ocffuDv0Djq4sWLGDNmDEJCQhAREeHwnal7+XeRfOUCjhw5gqeeesrtiVZKSgp27NiBZcuW8dP69u2LIUOGYNasWcjMzMTevXtpAAuUDVt/7949pKSkYMCAAe4OhxBCCCGEPKQa7KiDr7zyCj777DP07t0bly9fxp07d8AYgzODf3Tq1Am9e/eGWCxGQUGBw+tdv5EOsdQL06dPR1hYmNPbdSWz2cz/VzGGLVu24LHHHuMTLHfFWJ8olUocP34cM2bMcFmZlvqvreNrKdtsNtdK+YQQQgghxHkNNtESCARQKBSYPHkyPv30U/z73//Gjh07oNFonCpnxowZiI+Pd6pb3c6dO3H48GFIJBJ89NFHuHbtGrRarbO74BLvv/8+1q1bh4KCAvz++++V5k+aNAnPP/888vLycP/+fTdEWL/4+fkhJibGpd0oGWM4d+4crly54rIyy1MqlTh69CheffXVWimfEEIIIYQ4r8F2HeQ4DnK5HHFxcYiLi8OdO3fwj3/8A8XFxSgoKICPj49DXeU6duxY7TKfffYZTCYThg0bhnbt2iE9PR0eHh547LHHEBISgsuXL7ttUIxPP/0Un376aZXzBw0ahEGDBtVhRPWbWq1GTk4OxGKxy8rcvn07DAYDoqKiXFamhU6nwzfffIMePXrg1KlTLi+fEEIIIYTUTIO9o1XRpEmTsGTJEvj7++OTTz6B0Wh0Wdnjx4/HxIkT0aJFC35aeno6tm7divT0dDzxxBNOPx9G3OPMmTP45JNP0K9fP5eVuX79eigUCsTFxbmsTAuxWIzx48cjNDSUhs8nhBBCCKlHGuwdrYoiIiLw5JNPIicnB5s3b4ZCocDIkSOdHk3QlmbNmvH/LioqwiOPPILCwkLs3LkTEydORNOmTR94G6Ru3L9/Hzdu3MBbb72FTZs2IT8/H+3atUPnzp3tvm8tNTUVarUaQFm3VblcjuDgYBw6dAhisRgqlQoZGRlo0aKF068KsEcgEKBZs2bIzMyEQNBofjchhBBCCKn3Gk2iBZQlWx988AG+/fZbLF++HL6+vvDx8UFoaOgDlZuXl4cmTZpAJBJBqVSiTZs2EIlEOHr0KHQ6HUpKSiCXyyEUCm2ubzabkZubi6KiIn4ax3Fo2rQpvLy8IBQKUVxcjOzsbISFhdl8OTBxLZPJhJ9//hmHDx/G0KFDIRaL8fjjj1e5/MWLF5GXl8cnWXK5HGFhYfjhhx/QpUsX3L9/HxcvXkTTpk3tJloqlQp6vR6MMf7VAwBgMBjAGINYLIZcLrd65xkhhBBCCKl/GlWiZZGYmIgbN27g4MGDWLhwIV566SXExMQ4fachNzcX//3vf7Ft2zbs3r0bCoUCXl5eGDFiBIKDg6HVavHzzz8jNzcXYWFhVSZaJpMJhw8fxp07d/hpQqEQ3t7e0Gq1yMvLQ3BwMDQaDUaNGkWJVi0qKCiAXq/H8ePH8c9//hNPP/007t27h8zMTLvrBQcHw9PTE1KpFBKJBCdPnsSLL76IDz/8EF27doVEIoFIJKp2kI19+/bhxo0bAMqeF5NKpeA4DqWlpVCpVAgJCUGnTp0wdOhQm+trtVpIJBK6u0UIIYQQ4maNMtHy9/dHjx49EBAQgP379+Pw4cMwGAyIi4tz6lkqlUqF33//HZmZmfzAGuW7CcpkMkyYMKHacgQCAdq0aWP1vi2BQIAbN24gKSkJV69exciRI9GvXz8oFAq7ZT2MAyJ07twZMpnM3WEAAK5evQqpVIqnnnoKN2/eRGxsLJ5++mk899xzdtcTiUQQiUTgOI5/4bVcLgdjDCqVCkKhEFKptNoh2H19fREcHAyJRAKz2Qy5XA6BQACRSISSkhL4+fkhPDy8yvX1er1LB/IghBBCCCE10ygTLYvmzZtjwoQJmDBhApKSkjB9+nR0797d4fUDAgLw0ksv4eTJkxCJan4oTSYTkpKSMGvWLH5acHAw1q1bh+HDh8NgMOD06dN44YUX8MUXX6Bv375VlvX000/XOA53SUxMtHrOzZ22bt0KoCxhvXjxIhYuXIg2bdpUu978+fORkZEBDw8PZGVlQSwWIzg4GNu2bUOzZs2g1+vh7e2NVq1a2U3mH3vsMRiNRj5xL/9/s9kMgUBQ5Z1RQgghhBBSfzTqRCs3Nxd5eXmIiopC+/btnUqyACA7Oxvz5s3DSy+9VONnZgwGA7RaLTp06IC8vDx+ul6vxxdffIEFCxYAAB599FFcvXq12vJu376NgoIC+Pn5uWU4eUcVFhaiuLgYer2+3iRZANC/f3+8++67WL9+Pd58801ERkZCKpVWu96hQ4eQlZWFCxfOgzGG4cNH1Gj7NbmzZzKZ+Ge4NBqNS98BRgghhBBCaqZRJ1pHjhzBvn37MG3aNPTs2dMtMYhEInh7e6Ndu3ZW08ViMWbOnIkZM2YAgEPv/ALKnjE6deoUunfvjkceecTl8brKX3/9hcuXLyM/Px//93//5+5weAEBAejevTtCQkLw1FNP4euvv0bnzp3h5eVV7brHjx/Hn2dOYdnSz+og0v8xGAwoLS2F2WzGuXPn8Pjjj9NzfIQQQgghbtYoE63U1FR8//334DgOvXv3RlxcnNPdsTIyMnD27FloNBqcP38eWq22RncjKnYRKz+9Jl3E0tPTsW3bNoSFhfGJllqtRkZGBk6dOoURI0bA39/f7d3PtFotCgsLoVQq3RqHhVarRVFRETp27AiRSITg4GCMHj0aK1euREREBBISEjB69Gi7ZchkMvj4+EEgrLv3WTHGkJSUhAsXLmDEiBEoKirCjRs30Lx582qf5yOEEEIIIbWnUSZahw8fBgBERUWhbdu2CAgIcLqMkpISFBYWIiQkBAEBAQ7fcaptWq0Wt2/f5t/pBJQlbRqNBikpKXX6DJfJZIJOp8Px48chk8mQkJDAP8tmGeChvgzcwHEcBAIBunXrBo7j4OnpiSFDhkCn08Hb29uhOJs3b1422h9Xt0msRCKBQqFAhw4dYDAYIJPJ6s3nkRBCCCGksWpUida1a9fw/vvv48MPP0RcXBxEIlGNh8GOjIzEuHHjMHjwYAQEBDj0HE9dkEqlMBgMVqPbyeVyNGnSBJ6enjVKKgEgKSkJer0e8fHxDq+zZMkSNG3aFMuWLUNMTAy6dOnCd8ETCoWQSCT1JtGSSqUIDAxEYGAgP61Xr17o1auXw2V07NgRHTt2rI3wqsRxnFu2SwghhBBC7GsUiZbBYMDx48eRnJyMFi1aoEOHDg9cpoeHBzw8PBAcHOyCCF2Hg6lSAnnv3j3cvHnzgcq9efMmSktLnUq0IiIi4Ofnx78LquJdFpPJhNLS0geKixBCCCGEkPqowSdaGo0G9+7dw759+1BYWIjFixc7XYZOp4PJZIJUKnX7s03VEQnM8PT0tIrz1q1bOHbsGHx8fFBQUICioiJ4eHggMDDQ4S5md+7cQXFxsVOxjB8/Hmq1mn8mrPy2LH/r9XqnyiSEEEIIIeRh0GATLa1Wi3379kGtVkOhUGDGjBkICwurUVlr165FUVER3nnnnXo9ZDoAaA0CZGdnQ6vV8tNOnjyJL774AitXrsSxY8dw8OBB5OfnY8OGDQ7vz4M+T2U0Gq26M+r1ephMJodG8yOEEEIIIeRh02ATrTNnzmDDhg2IiorChAkTkJ2djezs7BqVdeDAAXh6etb7JAso645XUlICo9FoNV2j0aCgoAAJCQkoLi7G/v37wRirshyNRoO0tDTodDoAZe/nKi0tRWJiIr+MRCJB+/btHYrLbDZbbc/y75qM1EgIIYQQQkh912ATreeeew6FhYX4448/sHXr1gcqy2QyYfDgwS6KrHYJBALIZLJKXRyDgoIwZcoU3Lp1C//6178wePBguwN43LlzB9OmTcOtW7cAgH9P0y+//AKgrOtfaGgoTp8+7VBcFRMtsVgMiUQCk8nk5B4SQgghhBBS/zXIRCsnJwe//vor5HI5zGYz9Ho933XNMnS3TCbjp0mlUn4ACZPJBLFYDLlcDqFQCMYY5HI5JJK6ezfSg7C8f8vyPNSyZcuwb98+eHt7480334RSqcS6desQExNj93mz6OhonDhxgv975cqVKCoqwpw5c2rUhbDi3TPL8O4Py3ElhBBCCCHEGQ0y0QoKCrIaptsWjuP4L/+2BoR4WN9DxHEcRCIRH//+/fuRlZWF6OhoZGdnY8yYMYiKinL62agmTZqA4ziUlJTA39/f6bgkEonVSIiWhJC6DhJCCCGEkIaoZi+RqucEAgGEQqHd/8ovIxAIKv1nGY7c1rDk9ZlQKOTvxgFlg1C0bdsWs2bNQnR0NPbs2YOLFy9CqVQ6Va5KpUJhYWGlZ78clZ2dXWkod5FIRINhEEIIIYSQBqlBJlrlpaSkYM+ePTVa98KFC8jPz3+ohiA3m82VXlgcHByMXr16ISEhARKJBL/99ht+/PFHGAwGh8v19/dHYGCgU139MjIycPz4cQiFQphMJly8eBF3797l4wQAT09Ph8sjhBBCCCHkYdEguw6WJ5PJ4OvrW6N1T5w4gWbNmqFr1641Hhq+rmm1WmRmZkKj0QAAPv/8c/6u0ZgxY9C/f39cv34dOp3OqTt1w4YNA2MM3t7eDq8jlUqhUCj4d5fJZDL++S5LMliTboiEEEIIIYTUdw020TIajUhLS4NKpYKPjw8A8ANjJCcnQyAQgDEGxhg0Gg2Cg4PRsmVLqzJ8fX0rjZZX3wkEAkilUv55qPj4eH6eWCxGUFAQgoKCnC63Jl38goODERwcbHNe+W6bhBBCCCGENDQNNtHS6/U4fPgwsrOzERYWhvbt28NsNkOj0eDkyZMQi8UwmUwwm81QKpWIj4+vlGhxHAepVGp3dL76RiwWw9fX94FeLlwXRCIRP9ojIYQQQgghDU2D/Zar1WqxZcsWtG7dGq+++iqAssRJJpOhuLjYalmJRGLznVIGgwFqtbrGA0C4Q3h4OF5++WW0aNHC3aHYFRISArlcToNhEEIIIYSQBqnBJloWPj4+/PNVjDHo9XqbLzAWiUQYOHCg1bSHabRBi8jISLz55pvuDqNa/v7+8PHxgYeHh7tDIYQQQgghxOUafKJVnlAohJeXF3bu3FlpnuU5rvI0Gg08PT0fqme0Hhb0omJCCCGEENKQNdhEi+M4eHt7Qy6XW00TCoXVdqvT6/VQKpW4f/8+cnJyEBfbEs0eCQYElBy4Cg2CQQghhBBCGjLOmbs18fHxLDExsRbDcR3GGNRqNYRCIWQymdPrWkYoNJvNkEolEAlFwEPYlZAQQgghhBDiOhzHnWeMxVe3XIO+o1XTl+Fa7nyVvxtGCCGEEEIIIY6i/luEEEIIIYQQ4mKUaBFCCCGEEEKIi1GiRQghhBBCCCEuRokWIYQQQgghhLgYJVqEEEIIIYQQ4mKUaBFCCCGEEEKIi1GiRQghhBBCCCEuRokWIYQQQgghhLgYJVqEEEIIIYQQ4mKUaBFCCCGEEEKIi1GiRQghhBBCCCEuRokWIYQQQgghhLgYJVqEEEIIIYQQ4mKUaBFCCCGEEEKIi1GiRQghhBBCCCEuRokWIYQQQgghhLgYJVqEEEIIIYQQ4mKUaBFCCCGEEEKIi1GiRQghhBBCCCEuRokWIYQQQgghhLgYJVqEEEIIIYQQ4mKUaBFCCCGEEEKIi1GiRQghhBBCCCEuRokWIYQQQgghhLgYJVqEEEIIIYQQ4mKUaBFCCCGEEEKIi1GiRQghhBBCCCEuRokWIYQQQgghhLgYJVqEEEIIIYQQ4mKUaBFCCCGEEEKIi1GiRQghhBBCCCEuRokWIYQQQgghhLhYg0q0kpOT8ddff7k7jAajtLTU3SHUeX0yxnDo0CGcPn26TrdLaobq6+FiqS9X02q1Li+zPkpOTnZ3CPWGVqvFqVOnaqXsh/U4O3I9rK1zkNQOxhi1bw+5ep9offzxx4iNjUWfPn1w6dIltG7dGj179sSJEyfQp08f9OrVC2fPnsWFCxfQvn173Llzx90h2zR79mwEBAS4OwyH7d+/H7NmzXLb9i9cuIBx48bVaX1+//33GDx4MPr374/z58/X2Xbrk9zcXLz//vt466238OabbyI7O9vdIVVpxowZdVpfd+7cQWhoKHr16lXr22povv/+e6v6sseZ43z79m28/vrrUCgUrgoVQFm7Y2lz1q1bh9atW+PEiRNITk5Gnz59cPbsWZdurzqW62H79u3rdLv11e3bt6FQKPDdd9+5tFx3Huf3338f7733Hn/tdVZ17Zcz56CrWM5lxlidbM8R5Y9zfW7fytdXY/0+0mAwxhz+r0uXLswdFAoFW716NWOMsUcffZTNnDmTMcbYli1b2I8//sgvB4AdOXLEHSFWS6fTMZlM5u4wqpWYmMhmzZrFALAXX3yxTrZpNBptTlepVG6pz4iICPbFF188cDlV7Zezy9SV5ORkFhcXxzIyMhhjjPXt25f17NnTzVFVz1X1VZ3r168zsVjMmjVrVuvbcqX69BljrKy+7KnJcR44cOADRlWZpc1hrKzdsdiyZYvLt1WevethWZNNGCur86lTp9Z4/fp0nJOTk/nrLmNl196acuR6WN056CqWc7m+XIMqHueHoX1jjNVJ+0acByCROZA71fs7WgAQFxeHu3fvAgCioqKQlZUFAEhPT0fnzp3dGZrD9u3bB7lc7u4wqtWlSxcsWbLE5b8Q2/Pll1/anC6TyeosBldv9/Lly1XuV3mOLFNX5s+fjzFjxqBZs2YAgM6dO6N58+buDcoBdfU5iY2Nxc2bN3Hp0qU62Z4rOPo5rEvV1VdNjrOXl9eDhlWJpc0Bytodi/T0dJdvy8JefbnrelhfPUid17fjPH/+fP66C+CBvtc4En9dXzOFQmGdbK86FY/zw9C+kYffQ5FoDR8+HL/99hsAQCwWY9++fQCAtLQ0tGzZ0p2hOUSj0eC5557Djz/+6NR6JpMJJSUlVf6n0WhqKWLUWTdHtVpdJ9upS2q1GuPGjXNoufrk6NGjiIuL4/9eunQptmzZ4rZ4zGaz27ZdlYiICIjFYneH4TBHPof1UX04zpY2B4BVLGlpabWyPUevG+TB1MfjfPToUau/ly5d6p5AakFERIS7Q+BVPM7ubN9sqY9tHnlwIncH4IiYmBjcvHkTAJCYmAiVSoW8vDxIJBKby9+/fx9vvPEGFAoFXnnlFbRp08Zq/rp163Dy5EkAQO/evfHiiy/y895//30kJSVh9uzZaNOmDaZPn47Q0FC8+uqrNU7qdu/eDblcjn79+iE/Px//+c9/+HkfffRRleslJibinXfeqXJ++/btsXr16hrF5G4HDhzAvn378MsvvyAmJgZKpZKfV/GY3L9/H+vXr8elS5cwd+7cSvUJAHq9Hq+88gqAynXqSowx7N+/H4cOHYJYLEZcXBzGjRvHfxE7cOAApk2bhvT0dPz222/8fs2dO5f/vFa17+WXKb9fGzduxMmTJ9G7d29MmjQJEokEOTk5WL16Ne7fvw+xWIzly5fDYDDgH//4B8LDwzFnzhx4e3s7tE/fffcd0tPToVarsW3bNqSkpAAA3nzzTTRp0sRq2dzcXHz22Wcwm83o2bMnnn32WX5eTk4OFi5ciLS0NMTFxeHzzz/HN998gxMnTiA8PBxdunTBnj170K9fP+zZswfR0dF4//33MWXKFMTGxuK9996DWCzG7NmzceLECaxduxZt27ZFYWEhli5divT0dKcbRlv1NWnSJKfKAMruSO/cuROHDh3CjBkz8Prrr9tcLi8vD0uWLIFAIEBUVBRCQ0MxdOhQh7aRk5ODVatW8defEydOICkpCaGhoZW+eOXm5uKbb75Bfn4+unfvjjFjxkAg+N/vZpbPWEpKSpWfQ0fi+eqrrwAA0dHRmDBhAoD/nZ/dunXD4MGDAdT9cS4tLcW8efPQrFkzTJw40entOMLS5gBl1+K8vDw0adLE5vEr36asXbvW4WNs4cjwlbs4AAAgAElEQVR1w6L89VChUGDlypVW86u6ZgDWn7GNGzdizZo1SEpKwieffOJU+2YpZ9CgQWjTpk215dhrc6uLubw1a9bg+vXrVnclnFFXx9lRlnNJrVZbtXsVr73Vne+utnjxYuTn58NsNuNf//oXv62lS5eipKQEzzzzDI4ePQqlUol//OMfSEpKQmJiIvr164fHHnsMQNl3KaVSiUOHDlmdS0DVn0Nb17qsrCxs3rwZOTk5eOWVV+Dj44N///vf+Oc//+nw/lR1nCt+17B3nKtqc7/55htkZGRgzpw5OHDgADQaDYRCIXbt2oXo6Gi0bt0au3btQmxsLD744AOcOnUKO3fuxIkTJ/jBXAoLC/Haa6+hTZs2mDdvnsP7BZRdM//44w8YjUa0b9/e6vsIqScc6V/I3PyMVmpqKgPAcnJy2NixYxkAdvLkSbZ06VKr5QCwZcuWsYSEBHb58mW2ZMkS5uHhYdUnNy8vj61Zs4ZptVpWUlLC5s6dy5RKJT8/IyODAWArVqxggwYNYjk5OWz9+vXMx8enxvGPHj2avfrqq4yxsn7hr732Gnv22WfZ5cuXa1xmbYuJianVZ7R0Oh1TqVRMpVKxZcuW8f9WqVT8MgaDga/PjRs3ssuXL1eqT8bK6rRbt25V1qmzYmJibPaJLigoYN27d2eLFi1ijDFmNpvZBx98wJ566qlK+xUdHW21X47se0WW/VqzZg2/Xx06dGBKpZKZTCamUqlYQUEBe/HFF1leXh575pln2OHDhxkA9vHHHzu8vxqNhqlUKhYQEMC+/fZbPh6z2Wy13JkzZ1hMTAxjjDGtVsvmzp3L1Go1P99kMrGCggLWpUsX9uKLL7JnnnmG7dmzh4+ppKSERUREsM6dO7O///6bBQQEsL59+7I7d+6wiIgItn79esYYY3v37mUA2JUrV/jjnJeXx8LDw23G72x91YROp2NZWVnM19e3yv7y58+f55+tMJlMbOPGjU49l2kymayuP3v27OGvP9nZ2VbLxsTEsMOHDzPGGJs7dy4bMGCAVV048jl0JJ6UlBQ2ZMgQVlpayk/v1asXW7BgAT/N2eNs+QzZ4shxTk1NZVFRUSwpKYkdPHiQTZkyhbVu3dqpfXOEpc1Rq9Vs7Nix7OTJk+zq1auV2p2KbYrlHHWGI/VlMBgYAKvr4ZIlSyq1b5ZrhuUcLR9P+c/YoEGD+M+Yj49Ppc+YPZZyLO2kvXKqa3Ori9kiNTWVffTRR3y9t27d2ulntOrqODvKsv2AgACrNrDitbe6873istU902PvHDxz5gy/La1Wa7WtjIwMNnXqVGYwGFhmZiabPn06M5lMTKPRsFdeeYXpdDqrfbOcyxVV9TmseK27ePEii42NZSdOnGBGo5FFRUWxESNGsDfffNPu/lVU1XG2dVyqOs5Vtbl79uzh29ySkhLWuXNn9sMPP/Bt3Lp16/g2jjHG9Ho938ZZmM1mFh4ezj788EOb8VdVnwUFBWzRokX8ca/4fYTULjj4jNZDkWgxxlhsbCzbsGED+/PPP9ljjz3GPvjgA5aZmWm1DAD+JLEYOXIke/311xljjF24cMHmQ65yuZwZDAbG2P8ushXLGTVqVI1jDwkJYSaTieXl5VUqt76q7USrvKouIgaDwW59Mva/Os3KyrJarnydOquqhio3N5d99dVXVg/2VvXgtCONHWP2H3K1tV8rVqxgcrncapqnpyc7e/ZstduqTkBAAPv+++9tzps/fz5r27ZtpekikajSefjss88yT09Pm+W0adOGLV++nDHG2OOPP87mzZvHGGNsxIgRbPr06YwxxrKzs60SLYuEhASbZTpbX6dPn7ZZjiPs1euYMWP4H1Qs9Hq9U+VXdf154403+H/Pnz+/0nrHjh1jIpHIqXgdBYDdvHmT/9tSZxbOHmd7X/LKL2Mr7h07djAALC0tzWr66NGjqy3TWZY2Z+XKlezPP/9kH3zwQaV2x1abYjlHa3L9sVdfls9GReWvh45cM2yVM2rUKKvPmCNsXZ8rluNIm+tIzJZ6L2/06NE1HgyjLo6zMwICAqqcZ+98r3jtZezBEi1b1/mK2yo/v2PHjoyxskRh4sSJTm2rquNc/vMjEAjYmTNn+L+vXLnCALC8vDybZVbHVcfZXptrad8YK2vjLEaMGMH/29LGlZeQkOB0opWbm2vz+8iDtHHEcY4mWg9F10Hgf90Hx40bh5iYGKSlpSEsLKzSchzHWf0tEAhgMBgAAEeOHIGnp2eldTQaDdLT0xEdHV1lORX/dsaYMWNw/vx5jB49Grdv33Z4vdu3b2PXrl1Vzg8NDcWoUaNqHNfDwF59Av+r09DQUKvlbNXpgwoKCsLUqVNRVFSE+fPn1/qQtbb2KzAwsNKzeQMHDkTXrl1rNZY9e/age/fulaYbjUb8/vvvmDJlSqWY3K2q+rJ0gXO1WbNmYcCAAWjbti2effZZKBSKGnfhqPi51+v1/L/37NmDjz/+2Gp+fHw8jEZjjbZVnXbt2uHHH3/ku7RU7BJYl8f5xIkTCAgIsBqcorZY2hxLl6UVK1bAw8PDqt2x1aZYzlFXX3+qUv566Og1oyKO46w+Y46y1U6WL8eRNteRmC317k6uOM41Ye98t3XtfdBtVbzOV9xWcnIyCgsLIRKJcOXKFahUKty+fRvt2rVzSQzlPz8eHh4oKiri/1ar1RCLxfDx8XHJtspz5jjXRZvriKCgIBQVFWHPnj34888/69Uw+uR/HrpESyaTISYmxumBJQAgPz8fHMfhvffes5o+Y8YMeHh4uCpUK4WFhSgpKcFPP/2ELl26OLWuQCCwOzqQs/3BG6K6rFPGGD7++GNs3rwZFy5cgLe3N0pKSvDFF1+4dDsWtvbLbDZjxowZVtP8/f1rZfvl3b17F3379q00XSKRWI3OVpcxVaeq+rp69WqtbK9bt264efMmOnXqhLfeegtDhw7Fhx9+iA4dOrh0O7aOt1wur7Xrwfjx47FlyxY+0YqJibGaX5fH+d69ewgJCXF5ubZY2hyhUAiZTIa0tLRKXyZtXX8s52httSn2OHrNqCuOXJ8dibku690RdXmc7Z3vtuY96LYqXucrbisiIgKnT5+GQCBAYGAgzpw5g7S0NJvtw4NauHAh/v3vf+OJJ56AUCjEd999h6lTp0Iqlbp8W84c5/rQvgFl1974+HjMmTMHCxcuBMdxtfZ9hNTcQ5Vobdy4EUDZg9kXLlxwugxvb28IBAKnHqJ8UDt27MDAgQMxduxYbNiwARkZGQ6PwvPII4/gpZdequUIH251WacLFy7EqlWrcPnyZYcHmngQdf1ZtcfPz8/mr7V6vb7eNDoV1XV9AWW/MN6+fRt79+7FmjVr0LNnT5ePLunn51dpWklJSY3uSDhi3LhxmDt3LpKTk1FcXIyePXtaza/L4+zh4VFnv9pa2pxhw4YBKHuZbbdu3ayWcUebYk99igVw7Pg4EnNd1rsj6vI42zvfXX3ttXWdr7itPn364OTJkxAIBEhISMDJkyf5u76u1rdvX/zyyy+YNGkSgoKCIBAI8Pnnn7t8O0DdHmdXWbhwIY4ePcrfZS8pKXFzRMSWh2J4d6BsiPfc3FwAwFNPPVWjEXfefffdSqOoAcBbb731wPHZolQq8corr2Ds2LEAgBdeeAFTp06tlW25mtlsrnKoUS8vL7Rs2RL37t1zybby8vKstusMS50uWLDAanpt1OnKlSvx1FNPWXUdsnQnOXPmDIqLi/npkZGR/H6ZzeYqRxIqv+8Vl7G1XyUlJbX2ebVn+/bt+Pbbb3Hnzh2r6YMGDcK0adNcuq3g4GB4e3vj2rVr/LTjx4/j3LlzTpXjTH09KJPJhFatWkGr1UIoFGLo0KH49ddf8csvv7hsGxbbt2+vVA/z5s3DoEGDKi3r6OfQnsjISKxcuRJDhw7Ft99+W2l+XR7nDz/8EOnp6fwrPoCy91qVP845OTl47bXXHnioZEubYxkhTyAQ8NdyC1ttyoOcow9aX/XpmgE41uY6ErOl3st7kHPrYTrO9s53V197Ldd5e9v66KOP8M9//hMGgwFz5szBggULEBMTUyvvypo2bRquX78OlUoFkUiE4cOH19oPSnV5nC1tXHnnzp1z+seElStX2rzuAmXX3suXL/Pf14j7PDSJlkKhQFBQEABAJBKhRYsWNpcr/8UVKBui1TJNLBbjhx9+wBdffMH/apOSkoK3337bavmqynHW2rVr4evrazXtyJEjLr/dXxsyMjJw/Phx5OfnV5qn1+vx119/uexL5MaNG3HixAncvHkTM2fO5KeXr7uqplnqdNWqVVXWqTPMZjOKiooqbRcA3n77bWzbtg3Hjh2DWq3GDz/8gNmzZ0Mul2Pnzp1WXYXGjRvH79fMmTOrfJau/L5XXMayX5auACkpKXjxxRcr7ZutWJ2l1WqhVqurLCsuLg6rVq2yev/M/v37sWHDhkrL2qo3C5VKxf/qVv7fxcXFVr/GTZo0CXPmzMHZs2exYsUKfPPNN+jatSvWrFljVV5N6islJaVSfTnC3raEQiHu379vdXyKioqcfv1CVdef8n9bXilg+eFp//79OHHihM26cPRzWJ2xY8fi9u3bePLJJyvNc+Y4W46hPfaOc1BQENasWYNp06ZBp9Ph/Pnz+OCDD/DEE09gxYoVAIBt27bhyy+/xMWLF2u0rxaWNsfS9bNFixZo27at1TK22hRb56ij7NVXVW1Q+eNU/pqh0WhsXjNslWPvnK2KM9dne22uIzFb6v3o0aN8vT/xxBM4cOAAX+/OsBxnS5tTG8fZUZZrb1WcOd/tnTsVl6lqW6tWreK3BaDStiIiIhAeHo7evXujY8eO8PDwqLLboL1tOXKcX3zxRfTo0QOtWrVCamoqBg8eDIVCUaO7Wq48zvaOb/l2TKVS8f+u+IPTpEmTsGPHDr6N69q1K77//nubbVxV23v77bdx7NgxAGXPr1m+j1iuvUajkf++RtyHcyaDjo+PZ4mJibUYjn2rVq3i36uyevVqvPbaa/y8GzduYMGCBRAKhRg/fjwGDRqEOXPm8L9QbNq0iV/2vffeQ2JiIuRyOVq2bInly5fz81599VWUlJTYLCc6Ohrz58+vNk7GGGbPno3s7GyrbW/evBl79+6FXC7HihUrbD4k7G6JiYnYtGkT/34RkUiETz75xOq9JadPn0bv3r2xdetWlwzGsXHjRuzevRuenp547bXX0K1bN9y4cQPLly+HRqPh6wEA/86cinWRlZWFyZMn26xTR61duxZJSUkoLCwEx3Fo2rQpXnjhBav3dv3222/Yvn07f9di2LBh+PXXX+Ht7V2psbHs17vvvlupy5Gtfbd1tyArKwtffPEFkpOT0bJlS8yZMwdBQUG4ceMG1q1bB5PJhPz8fP79PjV50eWNGzewcuVKFBcXQyAQICgoCJMnT7b5cPP58+exdetW6PV6hISEYPbs2VblfPXVV1AqlWCMITg4GCNHjkRCQgKAsl/fzp07B4FAgD59+uDw4cPgOA5DhgzB7t27wXEcJk2ahCeffBIGgwErV67E+fPnMXDgQEyaNAlfffUVxowZw//gMmvWLGi1Wqfra+rUqRg/frxTzxTs2rULBw4csNrWnDlzrB7QX7x4MSIjI3Hs2DF4eXlBKBTiueeeq/Tl3F49LF++nL/+WLpK27r+nD9/Hhs2bICnpycCAgIwffr0Kq8njnwOHfH2229j8eLFNp+PqO44r127FqmpqXx9NW3aFBzHVaovR44zAPz5559YuHAhunbtipkzZ2L79u0YOHAgQkND8ddff+GNN97Azz//bPcZV0fYa3PKK9+mrF+/nv+M1oSt+ir/2Zg4cSJ/PbT12bBcMxITE9GuXTv+mmGvnKquq1Vx9vpsr82tLubyXnrpJeTm5qJr164IDw9HWFjY/7N35nFRle3//wyIioi5hYlftR4XNPcNKx5N7DHNsJ40E0vKpdxN84cLaIq5lhiYPCaaKJqCpWYI7kshKqmQoiJoaQYomwswrANcvz94ndOcmTMzZ2DY9Hq/XrxezDn3nOu6r+2+7zNnQdeuXfUeTKGE4OBgnD59WhxzjNnHXDsrxdPTE3l5ecjOzsZzzz0HALK1V0m+645fDg4OmDhxophfSnMQAGbOnAk7OzsUFRVhxYoVerJWrVqFmTNnolGjRvDy8sKqVav0HoyiXZ8FWUIuK7Wzm5sbwsPDxWMWFxdj//79cHd3N+sXa0vY2dCYqzvGxcTEYO7cuYiNjcWpU6cwdepUJCcnIzw8HB9++KF4skqj0WDMmDGoV68ehg4ditzcXHTv3h1OTk5wcHCQ+CsrKwsODg5QqVR6Y/ykSZOQl5cHe3t7BAYG4uDBgwgPDxdrrzBfq6yHJT3NqFSqGCLqa7JdbVpoMTWDESNG4MMPP8To0aOrWxWGYRiGYZ5AunbtijNnzkjukQoJCcE333yD8+fPV6NmtYPc3Fy4u7vzfK2SULrQqjUPw2BqDt7e3no3xDMMwzAMw1iKVatWYeLEifi///s/NG/eHHfu3EHTpk1x+PDh6latVnDgwAGer9UA+BcthmEYhmEYpsaSlZWld887w1QnSn/RqjUPw2AYhmEYhmGePniRxdRWeKHFMAzDMAzDMAxjYXihxTAMwzAMwzAMY2F4ocUwDMMwDMMwDGNheKHFMAzDMAzDMAxjYXihxTAMwzAMwzAMY2F4ocUwDMMwDMMwDGNheKHFMAzDMAzDMAxjYXihxTAMwzAMwzAMY2F4ocUwDMMwDMMwDGNheKHFMAzDMAzDMAxjYXihxTAMwzAMwzAMY2F4ocUwDMMwDMMwDGNheKHFMAzDMAzDMAxjYXihxTAMwzAMwzAMY2F4ocUwDMMwDMMwDGNheKHFMAzDMAzDMAxjYXihxTAMwzAMwzAMY2F4ocUwDMMwDMMwDGNheKHFMAzDMAzDMAxjYXihxTAMwzAMwzAMY2F4ocUwDMMwDMMwDGNheKHFMAzDMAzDMAxjYXihxTAMwzAMwzAMY2F4ocUwDMMwDMMwDGNhnqiF1vXr1/Hnn38+cbKeFM6dO1fdKjAM8xTAtbniPM1j3PXr16tbhRoPEeH8+fPVrQbD1HiemIVWbGwsunfvjqSkJJNtk5KS4OjoiH//+98gokqVpZSkpKRy61PT+fvvvzFz5kzs2LGj3MdIS0vD4sWL8dlnn+HTTz/F/fv3Lajh00FFYp6pnWjXuqeB2NhYuLu7W7Q2W5LakoPu7u4WH+NqA0L8dO/evbpVKRcVndsoISQkBLNnz8bw4cMRExNTKTIY5kniiVlo9e7dG6WlpYra5ubmIjMzE0lJSYq/U15ZSsnNzS23PjWdNm3aICAgoNzfj4+Ph6urKyZPngw/Pz9cu3YNo0aNsqCGTwcVifmngZKSkupWweJo17onDTl/9e7dG9999101aKOMmpaDhmL+u+++qzE6VhbG4qem9t1Ujaro3EYJY8eOxfr163H48OFKOT7DPGnUqW4FqoNOnTqhqKioutWQ0KlTJ9y9e7e61aiRDBs2DMuXL0ebNm0AAKdOnapmjWonNS3maxKBgYHQaDSYOXNmdatiUWpirbMU3377ray/6tevXw3aKKMm+cJYzNdkG1qC2th3JTXqSc53hqmtPDG/aJUHtVpd3SpIqAp95M5y1dSzdwJ5eXmoV69edavxRFDTYr4q0I1v3c95eXnw9/evSpWqnCfN73l5edWtQrmpKb540mPeELUx383VuabEGMMwteAXLV9fX7FovPvuu9i7dy8AYOLEiQgKCgIADB48GAMHDhS/8/DhQ8yaNQvNmzfH5MmT0aVLF3HfkSNHcODAAZw8eRKzZ882eHZIo9EgJCQEv//+O1q2bInp06ejYcOGeu0ePnyIrVu3Ijk5WU+WEo4cOYKoqChkZmaia9euBvVZs2YNHjx4ACsrK7Rr1w4DBw5Ep06dFMs5d+4cPD09sXnzZnTt2hUAsHjxYty+fRtdunTBokWLxLbp6elYu3atUVlFRUUIDg7G2bNnMWDAAHh4eKBu3bqSNoGBgbhx4wbatGmDcePGKdZVYMeOHbh9+zby8vKwd+9eJCQkAAA+/fRTNG3aVGxHRDh69ChOnjwJGxsbdO7cGR4eHuL+1NRUrFixAn/88Qc6d+6Mr776CkFBQYiKikLr1q2xatUqRfpMnDgRgwcPhrW1NRISErB48WLs378fYWFh2L59O2xsbACU3U8WFBSEjIwMlJaW4uuvv4aVlZWoy8aNG/Hw4UP88ccfOHLkCDQaDYKCgnD37l14eXnB3t7eLDubQoixPXv26MV8amoqAgICMGzYMHTp0gWBgYGIi4vDF198gfbt25slR0BJ7qxevVrWPoBpO//11184evQonJ2d8fzzz2PHjh1ITk7G0qVL0aRJEwBl8X7gwAFERUWJMf/48WP4+vrC1tZWjPdjx45h2rRpuH37Ng4dOoTMzEwAgLe3t56dt2zZgrNnzwIANm/eLNm/ZMkSWZ9GRUVh48aNEp8qwVQOCja+fPkynnvuOVkbK611RUVFmDx5MgBIYszc2NBoNFiwYAGICC1btsT8+fNlZVUkno8dO4YjR47g559/hpOTk+gvAPDx8ZG0FWrz5cuX4e3trVebjdWN1NRUTJ48GfPnzxf7npmZialTp5YrL6oyB7XrT//+/TF69GhJfgk2TEhIMBnzALB27VpcvnxZdjzV9icgzQvtWmdjYwM/Pz+jtc4Q+/btQ0REBAYPHoyIiAh07NgRixcvxvjx49GpUycsXLhQrL1yPnV3dxf3m5Pv2vHTvHlzrF+/XrLfWCwr1VnQ99dff4VKpdLT1xydleS7krpBRPD29kZxcTFsbGywbNkyiT4Mw5gJESn+69OnD1U1d+/epWeffZamTJlCGo2GHB0dacaMGVRSUkKTJ08mf39/KiwsJCIiALRu3TpycXGhK1eu0Nq1a6lBgwZ09+5d8XiFhYWUkpJCzzzzDG3YsEFWZkpKCvXo0YPWr19PRERBQUHUoUMHSRttWcHBwbKylFBYWEg5OTmUkpJiUJ+YmBjxuCUlJRQcHEw7duwwS05RUREBoKtXr4rb0tPTqXXr1rR06VKJLFdXV6Oy0tPTydnZmQIDA0mtVpO3tzf16NGDMjMzxTY3b94kHx8fiouLoxMnTtD48eNpypQpZumcn59POTk51KxZM9q+fTvl5ORQTk4OlZaWim0ePXpE/fv3p5UrVxIRUWlpKX3++eeS45SUlNCjR4+oT58+NGnSJHr33XcpIiKCTp06RWUpoIy2bdtS7969KTQ0lJo1a0aurq60ZcsWSkpKoq1bt4rtnJyc6NSpU0REVFBQQEOGDKG8vDxRl5ycHFGf9PR0UR8AtGzZMvE4SuysBCHG5GK+pKSE7t69S/7+/jRs2DCKiIig1NRUatSoEd2/f98sOUSGc+fRo0dim+joaIP2ITJt55ycHDp48CD5+/vT8OHD6cCBA3T16lVydHSkS5cuEVFZvB8+fFgS86WlpZSeni6Jd8E2HTt2pHXr1okxpkt6ejoFBgZSQUEBqdVqPT8Y8umpU6ckPlWCkhwUbFxcXCxrY6FvpmqdEGNCv4QYE2QrjQ3B78XFxURU5nddfQzFszkI/srJyZH4S9tnGo1GUpuvXLmiV5tN1Y2SkhICIOn71q1by50XVZWD0dHRkvrj7e2tl19KYl6j0YhjnGBDYYzTRvCnXF5o17pJkyYZrXXGUKvVYk24c+eOWBOSkpKobdu2Yu015NM33nijXH3Xjp+1a9dK4kc7lgsKCvRqs1KdBX0LCwtl9VWqs9DOWL5r12ZDdUOwoTCnKi0t1dNHG0N1hWGeBgBcIgVrpxq/0CIi2r59O3Xt2pWIiF566SXq2bMnERGNGzdO0g6AOMAIvPPOOzRz5ky9Yzo5OckWiaNHjxIAunXrlrgtKyuLRo0aVW5ZSjFUtEaPHq23TZhQmoPuQouIyMXFRTLxHD16NE2dOtWoLACUkpIi2ebv70+2trZERPTTTz/JLmDMXWgJNGvWjEJCQmT3paWl0aZNm8QJHlHZpPf8+fN6bceMGUN2dnbl0oGIqEuXLuTn50dERK+++iotWrRI3DdjxgwiIlqyZIne9yIjI6lOnTqUnJysp8+FCxcMyjNlZ3MxFPMajUYvlkeOHEmzZs0yW4ah3Dl79iwRldlHyGUBXfsosbNGo6Hjx49LjhMfH08A6OTJk0REdP/+fdmY1453AUO2ISKKjY3Vi2fBDxqNRrLdlE+VYCoHjx49atTGuhjqm9AvuRgT+qUkNgzVTG19lMgyF0P+ktNZtzYrqRtyNb68eSFQ2Tmom1tE/+SXUl0EfQyNcQKxsbEG65OuT+3s7CqUF4Zqwttvvy3WBEM+lRuLlPRdF+34UVKblehsSF+58cuYzkramarNRP/YUPd7cvoQ8UKLebpRutCq8ZcOAoCrqysmTJiAx48fo3Xr1ti/fz9ycnLQrVs3vbYqlUry2crKChqNRrGsEydOoHHjxpJLNho1aiResmhJWUrx9PREnz59MHHiRIwZMwbNmzdHnz59LC5HkDVkyBB07drVoCw7Ozs4OjpKtj377LPIz88HAERFRaFZs2aVop8uDg4OmDJlCrKysrBkyRLxkbbvv/++bPuhQ4dWqj4RERFYtmyZZFvfvn1RXFyM48ePY/z48ZJ9/fr1M3gsU3a2JLqxrFKpynVTtanciYiIQP/+/SXfMWYfY9SpIy1fHTt2hEqlwtWrVzF48GCzdTfE6dOnYWdnJ9km+OH27dvo2LGjZJ8xnyrBVA6eOHECX331lfjZUH0yhdAvuRjT7pep2DBUM1955RWzZVkKU7VZad2wVF6UR+fyyNLNLeCf/LKETtqXIJ4+fRpz586V7DeUF0OHDq1wXpjCkE8thXb8WKo2C/pGREQgOjraIi1GI8UAACAASURBVHoaQsm8RrDh7t278dtvv9X41xAwTG2gViy02rRpg7Zt2+L8+fMYP348zpw5g+joaLi6ulpcVkZGBlq1amXx41YEZ2dnjBgxAqtWrcJnn30GNzc37N+/v9Jk3bp1C7169TIoS6VSYeHChZJtpaWlmD17NgDgwYMHaNmyZaXopwsRYdmyZdi1axdiY2Nhb28PtVqNa9euybYX7uGpLO7du6e3zdbWFnXr1pXdZwxTdq6JmMqde/fu6eVtee2ji7W1NerVq2fxG8EzMjL0fCH4oUGDBhaVBZjOwYyMDIvIkesXUNY37XtelRzHlN8tJctSmFs3agty9U3IL0uTkZFhsD7p5kVl113AsE83bNhgcVmWqs0+Pj7YtWsXvLy88M0331SavoDp2gz8Y8M2bdpgxYoVsLe3rzR9GOZpoVYstICygvTVV1/h9OnTWLBgAb766iscP37c4nJcXFywc+dOZGVl4ZlnnpHs02g0VX5TaG5uLvbs2QMfHx/Jzd7Ozs64cOGC2cfTPbOZm5urJ2vixIlISUkxKEutVmPWrFl6hTs1NRVA2VnV8pxhLw+tWrXCW2+9hVu3blWJPFO89dZbetuuXLmCoqIiuLm5mXUsU3auiSQkJMjmzvHjxzFkyBC89dZb+P333yX7ymsfXWJjY1FQUIDXXnsNwD+PaVZyNl93Inrnzh288MILAICBAwdizZo1WLNmjaRNamoqnnvuuQrprIuSHHRxcTFqY6UI/ZKLMXMwVDOPHz+OQYMGwcbGxmKyLEVNqxuWQje3gH/ySxdjMa+EgQMHonv37rL1ydJ5oQRzfFrRvluqNqempiqOwYrqbKo2A//YUPfBMgzDlJ9a83j3QYMG4cyZMwDKnoxVWe9SGjVqFOzs7PReepmVlVUtT96pX78+Vq9erbe9cePGZh/L3t4eN2/eFD+fOXMG8fHx4uUBgqyCggKjsp5//nnxiY8CarUaX375JQBg5MiRei9WvH37ttn6KqGoqEiyWAT+ucQjOjoa2dnZlSLXELNnz9Z7OWxQUBCGDRuG7t27m3UsU3auiRjKnX379gEos4/uJTLltU98fLzk83fffYdevXrhpZdeAlAWt3IxL3c5TKtWrZCeng6g7My0dh/+85//4Pnnn5e0ryw/KMnBUaNGGbWxUoR+ycWYORiqmfv27RNrpqVkaSP4CzD/FRU1rW5YiujoaIP1RxdjMa+E//znPzWqPpnj04r23VK12ZC+APRisKI6m6rNgLwNBWpzXjBMdVJrFlpt27ZF69atAQA9e/Y0eMmO9uALlD2iVXdbaWkpsrKy9LYDZZc4bN++HStXrsTu3bsBANevX5c8LtwcWUopLS2V/a61tTUePnwoGTyzsrLg6elptgwPDw94eXnhp59+woULFxAUFIR+/fohJCREIsvd3d2orNDQUAQEBIiXFCQkJGDSpEni9foODg4IDAzEL7/8gsLCQsTExODzzz/HsWPHzH5/SUFBAfLy8gzade7cudi7dy8iIyORl5eH0NBQzJ8/HwkJCThw4IAkTiriHwDIyckRJ4ba/wP/TBiFx/OmpaWJ+6KiorBt2za94z18+NCoPFN2NhdDMS9nl/LaylDuCI/67ty5MwICAozaR4mdASA4OBg//vgjiAhFRUUICwsTY1lAiPkLFy7A398fQUFBCAkJQWBgoKSdu7s7goODcevWLcyZMwcjR44U99nY2CA0NBQbNmwQ78Ew5AdTPjWFkhxs0qSJaGONRqNnY22M1TqhXwEBAWK/hBjT7o+p2NCumcJE8fr16xJ9tGXpxnN5CQ4ORlRUlOgzc3RWWjcsWeOBys/BgIAASf05evSowfojxHxUVJRezAtxLKeTgI2NjehPU3lREZsBhmtCdna2+L8hn9ra2uqNBcby3VAOa/dBO5bz8/Nla7MSnQV9hWMK+iYkJOjNcYzpLGAs37Vrs6G6IdgQgGhDQR9dGxqaszAMI0Vlzs2Offv2pUuXLlWiOsZZtWoVvL29AQBeXl6SX3oSExOxfPlyWFtbY+zYsRg2bBi8vLzEBcr3338PAAgLC8OxY8fw+PFjqFQqODg4wNvbW+/hDfHx8di4cSOSkpLQrl07LFiwAC1atDBLlhLCwsIQGRmJgoICZGVlwcHBASqVCl5eXqJOq1evRlZWFrKzs9GwYUNYW1vL/splCo1Gg/Xr1+PcuXOoV68evv/+e2zatAndu3fHgAEDRFkvvPACIiMjjcpKSUnBhg0bcP36dbRv3x5eXl5wcHCQtPn444+RlpaGfv36Yc6cOYiOjkbXrl31biI2RGJiItavX4/s7GxYWVnBwcEBH330kd5DUA4dOoR9+/bB2toabm5uGDFiBKZMmYKxY8fC1dUViYmJ2LRpEzIzM0FEeO655/DOO+/AxcXFLPuNGzcOVlZWmDt3Lnx9faFSqTBlyhQkJycjIiICHh4eeP311xETE4Nt27bBzs4ORUVFWLFihfgwhcTERGzZsgUlJSXIzMxEkyZNULduXYP6KLGzKYQYS01NFWNepVLB19cXiYmJ8PPzQ35+vhjLQl+BsgdMLFmyxCx5xnJHYObMmbL2UWrnwYMH48yZM7h37x5OnDgBtVqNTZs26eWxEPMxMTEYOnQoPDw8cO7cOTg5OenZMTg4GKdPn8b06dPh7Oys16+FCxfi0qVLsLW1xdatWyXf9/T0VOxTUyjJQcHG8fHx6Nmzp6yNdWtdixYtJHVFICUlBR999BFsbW0lMWZubMTHx2PmzJmwt7dHu3bt8PXXX+v1zRLxLBAcHIzw8HDY2dmJPjNHZ2N1w9HR0WI1HqjaHNSuP82aNcOMGTP0Huaia8N58+ZJYn7q1KlQq9WwtrZGcHAwAIj919ZH8KdcXmjXuoyMDDRt2rRcebF+/XpcvHgRVlZWGDRoEE6dOgWVSoU333wT4eHhUKlUYu2V8+nBgwdhb2+vd2+oXL4LvlCr1Rg3bpzoC1N979atmySWlepcXFyMffv2IS8vD2PHjhX1DQ8Px+bNm2X9ZahGKZnbKKkbhw4dws6dO2Fvby9ezh0eHi6Op5s3b8bNmzf15iwTJkww+z2iDFObUalUMUTU12S72rTQYhiGAcoucTlz5ox4PxbDMAzDMExVoXShVWsuHWQYhgHKHnoxfvx4LFy40OxLURmGYRiGYaqKWvPUQYZhGADo3bu3eA8YwzAMwzBMTYV/0WIYhmEYhmEYhrEwvNBiGIZhGIZhGIaxMLzQYhiGYRiGYRiGsTC80GIYhmEYhmEYhrEwtXqhde7cuepWwWIQEc6fP1/datQ4/vzzz+pWoVK4du0av+zxKSQuLq66VXgqqMq6cf369SqTxVQcrrvmUVBQUGlzLc4d5mmgVi60/v77b8ycORM7duyQ3Z+UlIR///vfMOcdYeUlKSkJjo6O5ZYVEhKC2bNnY/jw4YiJiTEpp6r6Vdl4enqic+fOGD58ODp16oQBAwZgzJgxeOWVV5CUlITY2Fi4u7uLLwh9Uvj111/h5uaGbt26PfED/ttvv41OnTrhtddew08//QQAOHPmDF599VWMGjUKsbGx1axh1ZGYmIgPP/wQ8fHx1a3KE01V1g1BVvfu3StdVnXypIw7Qu190uuuJfn777/RvHlzg3Ot8vK05I4ptOd1zBMMESn+69OnD9UkpkyZIrv9xo0b1KZNGyouLq50HW7cuEE2NjYWkbVhwwaTcqqqX5VN+/bt6cSJE0REBID8/f2JiKigoID27t1LREQ5OTl0+vTp6lKx0rhz5w4BoKtXr1a3KpXKunXrqG7dunTv3j3J9tGjR5NGo6kmraqP0tJSCgkJqW41nhgM1cGqrBs5OTlUNow+uTxJ486dO3ee+LpraYYOHWpwrqUEY3n6pOeOKbTndUztA8AlUrB2qpW/aJmiU6dOuHv3LqytratEVlFRUaXLEuRUVb8qm927d+O1114TPwt9qlevHjQaDQCgfv361aJbZfOk9ksXT09PbN++HS1bthS37d+/Hz/++CPq1Hn6XuGnUqmqW4Unim+//VZ2e1Xm19OQy0/SuPM0+MvSNGzYsNzfDQwMrBF5WlPRntcxTy5P5EILANRqdXWrUCk8Kf3q16+fwX3u7u5VqIn5lJaWVrcKtYL69etjxIgRkm2hoaFGfc8wSsjLy6tuFZ4qauq4w7W45pKXlwd/f//qVsMs5OKpKmKspuYXYxlq1Wnl3NxcLFq0CG3atMG4ceP09h85cgRRUVHIzMxE165dMXPmTNnjrFmzBg8ePICVlRXatWuHgQMHolOnTpI2Go0GISEh+P3339GyZUtMnz5dcmZHW9bJkydx69Ytcd+tW7dw9OhRxMXF4eOPP0ZkZCSSk5PRoUMHzJgxw+x+HzlyBAcOHMDJkycxe/ZsvX4tXrwYcXFxmD9/PqKiohAXFwdHR0dMnToV7du3l7QtKipCcHAwzp49iwEDBsDDwwN169aVtElPT8fatWuN2qcqefjwIbZu3YrLly/D29sbXbp00WtTVFSEyZMnAwAGDBiASZMmKT5+amoqAgICEBcXh+DgYAQGBiIuLg5ffPGFxH6CfTdv3oyuXbvi8ePH8PX1xe3bt7F7927s27cPERERGDJkCMLCwtCxY0csXrwY48ePR6dOnbBw4ULY2NhIZG/btg1xcXFo2bIl5s+fL9svOX+lpqZi48aNePjwIWxsbODn5weNRoOJEyeidevW8PLygr29vXgcXZ86OjrCzc1NsY3Kg5ubmyRncnNzERERgS+++KJS5WpDRDh69ChOnjwJGxsbdO7cGR4eHuL+1NRUrFixAn/88Qc6d+6Mr776CkFBQYiKisLGjRslNtyyZQvOnj0LANi8ebNe3pjLDz/8IN6zNWfOHBQUFIhxqJvLvr6+et9PS0tDUFAQ0tLS8PLLL2P06NGwsrKCr6+vOHA3b94cmZmZAIC+ffvi0qVLAIDBgwfj2LFjiuuGKUzZWSA9PR1BQUF49OhRueLw2LFjOHLkCH7++Wc4OTmJfQMAHx8fSdvKrhvmyJKzj7u7O2xsbMRcvnDhAjp37iyby8eOHUNERAQGDx6MiIgIsbbs378fN2/elNQWIS4yMjLQv39/MS4A5bUO+GeM27Nnj+y4A/wzTl6+fBlEhOXLl5v1C0hqaiomT56M+fPno0uXLggMDERmZqYkBs+dO4cDBw4gKipKfCjD48ePMX36dHTp0gWLFi0CAEycOBGDBw+GtbU1EhISRPuEhYVh+/btktpbUFCAkJAQZGRk4IMPPkCrVq30dNPOd+3Y0K0Zfn5+CAwMRFRUFFq3bo1Vq1ZJjqM93xgwYADat29fKeMpEcHb2xvFxcV6OajEztoEBgbixo0baNOmTbl0OXbsGKZNm4bbt2/j0KFDYp56e3vr1U3t3GnevDnWr18v2a9kzqIUQ3MbIcY+/PBDdO3aFUDZvOr27dtijAnju5IcVIKpeZ2gb0XqJVNDUHJ9IdWAe7Ru3rxJ7dq1o7i4ODpx4gSNHz9e77rhwsJCysnJoZSUFIP3O8XExNDdu3eJiKikpISCg4Npx44dkjYpKSnUo0cPWr9+PRERBQUFUYcOHQzKeuaZZyT7cnJy6ODBg+K9RwcOHKCrV6+Sr68vXbp0yWAfDelcWFgoypFrc/fuXVFWREQEpaam0tatW6lRo0aSdunp6eTs7EyBgYFUUFBA3t7e1KNHD8rMzJTYx9XV1ah9LA0A2X5pNBpat24dubi4UHBwMF25coUaNGgg+k+3XwUFBaRWq8nb21vSJ1OUlJSINhw2bJhow0aNGtH9+/fFdocPH5bcW1VaWkrp6enUunVrIiJSq9XUtm1bCg0NpTt37lCzZs3I1dWVkpKSqG3btrR161YiIrp//z4BoLCwMNq/fz/FxcXRmjVrKDY2VrZfgYGBYr8Ef5WUlFBOTg49evSIJk2aROnp6fTuu+/SqVOnCAAtW7ZMPI6cT+vXr6/YPuXhzp07tG/fPsm23bt3k0qlor///rtSZQs8evSI+vfvTytXriSiMn99/vnnkjYlJSX06NEj6tOnD02aNIneffddioiIoFOnTklsmJ6eLuaNWq3WyxulaN+jlZ+fT4sWLaL79+9TaWmpJA51c1k7DomIoqOjycnJiU6dOiXm8pAhQ4iorB48++yzNGXKFEpOTiZHR0eaMWMG5efn0+TJk8nf358KCwsV1w1TKLEz0T9xePfu3XLHoVB3c3JyaN26deL/OTk5YpuqqhuCLABGZRmyzxtvvEFEJOayEINyuSzUlt69e0tqy5YtWyS1RTsuiEiMi7y8PFGWklqnbWtD4w4RieOkcB9Ohw4d6NGjR4rtV1JSIsagoI8Qg4I+RUVFYu0VKC0tpdatW9PSpUvFbYJ9QkNDJfZJSkqS1N6wsDB67733aP/+/bRmzRpq3LixbO3Vznft2NCtGenp6WLNgM49R7rzjfr161fKeCrEWGFhoWgf7RxUYmeBmzdvko+PjzjXevHFF82+R0uInY4dO0ryVBu53Fm7dq0kd5TMWZRibG4jxJj2/XvC2C7EmNIcNMdGxuZ1lqiXTOUChfdo1YqF1k8//UQA6I8//pBsN5b8hgaG0aNH623TXvwcPXqUANCtW7fEbVlZWTRq1CiDspycnPS2CUXk+PHjku0A6OTJk2bprC3H0IIEgDi4CowcOVJPdkpKimSbv78/2draip9Hjx5NU6dOlbQxtji0BMYWWrp9euedd2jmzJni59jYWNl+2dramvXABcGG2owcOZJmzZolfhYWSLo3U7u4uIj/d+nSRfz/1VdfpUWLFhER0dtvv00zZsyQHGfTpk2S4wCg1NRUyWdT/iIisrOzowsXLhjsm5xPi4qKDLa3BD179tTbVq9ePfrmm28qVa42aWlptGnTJsnN2Dk5OXT+/Hm9tmPGjCE7OzvZ4wgxpo3gB3Mf6iEstLZs2UKTJk3S228ol7XjkIioa9euet+NjIyk5ORkIiLavn272Oall16inj17UmlpKY0bN86kLN26YQqldrZ0HBqql9VdN3RlGbKP7veEGDSUy126dCE/Pz8iMlxbDMVFnTp1jOqsW+u0MTTuHD16VDJOEhGNGjWKzp49K3scQxiKQbnaq42Li4tkoWXIPkQkqb26dfeHH36Q1F65fCfSjw1T/iLSn28UFRVVyngqxJg2ujmoxM7CXEubUaNGlfthGIZih0g+DolIkjtKx0AlmJrb3L9/X3ZsVxJj2jloLoZsVB3jNmMeShdateIeraioKDRr1gzt2rWr8LE8PT3Rp08f/O9//xN/zu7Tp4+4/8SJE2jcuLHk5/RGjRph79695ZKne9O/SqXC1atXy3UsU+jebK/72c7ODo6OjpJtzz77LPLz88XPnp6e2L17t0H7VDW6fbCyshIflgEAp0+flu1Xfn4+bt++XWHZRUVFFTqGMVxcXPS2JSQkiP8r8RcADB061Oh9T3I+NecSB3O5efMmLl++rLddo9Fg9OjRlSZXFwcHB0yZMgVqtRqzZ8/Gp59+Cm9vb4Pthw4dKrtdiDFtBD+UJ8b27t2LKVOmGL0ERDfudeOwf//+et/p27cvjh8/DgBwdXXF9evXoVar0bp1a1y9ehXx8fHo1q2bSVnmPrRDqZ2FOOzTp0+lx2F11g1dWebEoalcNoWhuCguLjb6vfLUuhMnTuhddrZ371688sorZh1HkF9RfZSiW3eFPgi1Vy7fAfnYUFJ7tecbNjY2lTKeCjG2e/duozFmys7CXKs60c4dpWOgEmra3MYUVVkvmcqlVtyj9eDBA8mTyyqCs7MzRowYgVWrVuGzzz6Dm5sb9u/fL+7PyMiQvV7bUtSrV6/abnxUqVRYuHChZFtpaSlmz54tfnZ2dsatW7fQq1cvWfvUNDIyMmT7NXv2bDRo0KCatCo/OTk54v9K/AUATZo0MXpMOZ8uXboUPXr0sJziWoSGhqJx48Z621999VU899xzlSJTDiLCsmXLsGvXLsTGxsLe3h5qtRrXrl2TbW/IjnIxJvjB3Bg7fvw41Go1Zs2ahVmzZuG///2vWd83pqutrS3u3bsHAGjTpg3atm2Ls2fPYvz48Thz5gwiIyPh6upaLnnGUGpnIQ43btwo3mtQmXFojKqsG4bss2HDBr22pnLZFIbioqL3E8qRkZFh8WNWB8KiSqi95sSGktqrPd+4ePFipcS7EGNt2rTBihUrTNY6Q1hyrmUJlI6BSqhtc5uaVC+ZilErFlr9+/fH3r17UVpaKt7UWx5yc3OxZ88e+Pj4SG6cdnZ2xoULFwCUne3auXMnsrKy8Mwzz0i+r9FoKnxGoaCgQPJY86pEmODpLiRTU1MB/GOfiRMnIiUlRdyvbZ+axsCBA7FmzRq9fqWmplp8Ui88jlb37HBubm65jqf7NCOVSoWXX35Z/GzKX0ow5NOFCxdKCjYRWeTx49euXcPSpUtx9OhRyfYtW7bghx9+UHycoqIi2NjYVEinVq1a4a233pI8qKY8CDG2Zs0ayfbyxNiQIUPEp2q+/vrrOHPmDAYMGGC2Tr///rvetitXrkh+JfPx8cHhw4fh7++PBQsW4MqVK5g2bZrZskyhxM7acahdf3XjsKqoyrphqThUgqG4qIxfh1xcXGTHyePHj2PQoEEWPfsu9yhwS9Xda9euSWqvpfJdbr6xcOFCfPLJJ+J4aok6B/wTY7oPhDEXYa6lTXZ2Npo3b16u4+ku8O/cuYMXXnhB8fctMQYCyuY29evXt9jYbgmCgoJqTL1kKkatuHRw5MiRKCkpwbFjx8Rt5bm8o379+li9erXedu2z76NGjYKdnR2+++47SZusrKxyDRzCU8UEevXqhZdeesns41iC559/HkFBQZJtarUaX375JYB/7FNQUCBpo/vrhJubG6ZPn14jHq37n//8R7ZfQp8sSePGjWFvb4+bN2+K286cOaPnY6VcuXJF8nnEiBGSyzZM+UsJhnyqvdi/cuUKOnTogAcPHpijviyhoaFo3rw5Bg8eLNm+Z88eHD9+HMOGDUPnzp0l++bMmYPu3btjwoQJuHDhAq5cuYKmTZuiQ4cOFdKlqKhIb6AULkuJjo5Gdna2ouMIMaaNuX6QY/jw4fjkk09QWFho9nejo6ORlJQk2RYUFITu3buLnwcNGgRbW1sAZU9Nc3JyqpC+hlBiZyVxaC7p6eni/+bWoqqsG5aKQyUYiothw4ZZTIbAqFGjZMfJffv2WfwSJ6H2ahMfH192o7mZ6Nbd8PBwSe2Vy3fA/NiQm2+89tprkvFUqHMVrb2WijFhrqXN6dOny61Xq1atxDwtLS3VixdTWGIMBJTNbRo3biw7tpcnxiyBpeslU33UioWWg4MDAgMDMW3aNBQWFiImJgaff/45jh07JvuehtLSUskgLGBtbY2HDx9KBqKsrCx4enqKn5s0aYLt27dj5cqV2L17NwDg+vXrso8qFmRlZWUZ1D04OBhEhKKiIqxbtw4hISEGjyOns64cuTYPHz4EAL19wnaB0NBQBAQEYMOGDcjPz0dCQgImTZqEuXPnAvjHPtrvsdK1DwBERETg22+/lT17Wl4M9UuuT9rbbGxsxH4J120nJCSIfVKKrq0Myffw8ICXlxcuXLgAf39/BAUFoV+/fggMDAQgvfQvJydHvEw0OztbcsmonZ0d9uzZAyJCSUkJtm/fjo0bN0pkaftL6Je2vwSMxY0hn2rLKi4uxp9//omff/7Z4HGUsnPnTri6ukruTYyPj8cvv/yCsWPHYurUqZL70ADA398f/fr1w7Zt2+Ds7Izi4mIUFRXhzz//rJAuc+fOxd69exEZGYm8vDyEhoZi/vz5SEhIwIEDBySXAcn5WkCIMSFvAMj6wRQFBQV6Mv766y8sWLBAogeg71PdzwEBAXB3d0daWhoA4OjRo4iKipK0adu2rfhrWc+ePfUuG1RaN0yhxM7acSjUX904NJfg4GBERUXh1q1bmDNnjkT/mlQ3DNnH1tZWEofGYhCQ1hNDtcVQXGzbts0snbUxNO40adJEHCeFSb2Hh4fsaypMYcpfwrF/+uknsfb269cPISEhktorZx9A+p6iPXv24Ny5cyAibN++HWfPnpXEoVy+y8WGKX/JzTc2btwoGU+FOlfR2ivEGACjtc6UnYW51i+//CLOtV577TWDcy1TuLu7Izg4WMzRkSNHSmTLoa2PqTmLUpTObby8vMQYE8Z2JTGmO74rxdS8zpL1kqk+VOas1vv27UvCe1iqg99++w0rVqxAv379MGfOHERHR6Nr167izZJhYWGIjIxEQUEBsrKy4ODgAJVKBS8vL/Fs1erVq5GVlYXs7Gw0bNgQ1tbWsr9yxcfHY+PGjUhKSkK7du2wYMECtGjRQtyvLevx48do0aKFRJbwLotTp05hx44dUKvV6NKli95P+5s3b8bNmzf1dJ4wYYL4LpawsDAcO3YMjx8/hkqlgoODA7y9vcU+TZ06FWq1GtbW1ggODgZQVjCSkpLQsWNHLFmyRJSXkpKCDRs24NKlS+jWrRu8vLzg4OAg7l+9ejVeeOEFREZGGrRPnz590KJFC+zfv7/Cb3fftWsXDh8+LPZr9erVqFu3LhITE+Hn54f8/HyMHTtWPCMrvD9Nrl8fffQRbG1t0b59e/j5+SnWQZClVqsxbtw4o7I0Gg3Wr1+PmJgYDB06FB4eHti0aRNGjx6NkJAQXLx4EZ6enoiNjcWpU6egUqnw5ptvIjw8HCqVSrws9eTJkxgxYgQmTJiA4uJi9OrVSzLh1u7Xhg0bcP36dbRv3170V2JiIrZs2YKSkhJkZGSgadOmqFu3ruz7luR8+sEHH4jvCwHKHtryww8/SAZCczl79iy+/fZbqFQqjBo1Cv/9738REhKCI0eOoKSkBJ6enkhNTcV3330HLy8vyY3Inp6eEt3Pnz+PAQMGmLyJZF9hmQAAIABJREFU3xSHDh3Cvn37YG1tDTc3N4wYMQJTpkzB2LFj4erqisTERGzatAmZmZkgIjz33HN45513ZB9UsnDhQly6dAm2trbYunWrJG9Mce/ePaxcuRI5OTlwc3PDe++9B+CfGOvQoQPc3d3FOFSSyzExMdi2bRtsbGzQsmVLzJgxQ+8m/uzsbDRq1AiA/uWh5tQNU5iyM/BPHF6+fBmlpaWycWgOwcHBCA8Ph52dHaZPnw5nZ+caWzfk7HPw4EHY29vD0dERW7ZsQVpaGohINpfXr1+PixcvwsrKCoMGDRJry5QpU7Bp0yaoVCp4eHjg9ddfF+PCzs4OzZo1k8SFOToLY1xqaqpYn1UqlUQvYZyMj4+Hvb09Nm/eLBknldhw+fLlsLa2Fv0lxCAAfP/992JbjUaDMWPGoF69ehg6dChyc3PRvXt3ODk5wcHBAePGjYOVlRXmzp0LX19f0T7JycmIiIiAh4cH+vfvjwYNGmDTpk347bff0K1bN0ybNk3MEW208107NnRrRtOmTTFmzBjZmqE739B+TxPwT52raO0FymJs586dsLe318tBR0dHxXYGgI8//hhpaWno168fWrdujVatWknmWuYQHByM06dPizkKGI5Dufpjas6iFCVzG19fX5w7dw716tXD999/j02bNokxJozvSnJQCbrzuhYtWujNVS1ZLxnLo1KpYoior8l2tWmhVZsoKipCvXr1cOLECf65l6nR5Obm4tChQ1XyRMAjR46gTp06GDJkCM6cOYN///vfAKQLrdzcXLi7u+PDDz+s0qcUMgzDVCUjRozgOscwtRSlC61acelgbSM2Nhbjx4+HtbW13hNzGKamceDAgSof6J2cnLBo0SKD+nh7e/Pkg2GYJxqucwzz5MO/aDEMU2UIv2hlZGTg/fffx9GjR/H666/rXTrIMAzDMAxTU1H6i1ateLw7wzBPFmPHjoWNjQ2GDh1abU91YhiGYRiGqUz40kGGYaqFUaNGoUePHjXiNQEMwzAMwzCWhhdaDMNUCyqVCsuWLUNoaGh1q8IwDMMwDGNx+NJBhmGqjbfffhsdOnTAm2++Wd2qMAzDMAzDWBT+RYthmGqlefPmCA8Pr241GIZhGIZhLAovtBiGqTIePnyI9PR0ybYvvviimrRhGIZhGIapPPjSQYZhqgQ/Pz9cvXoVJSUleP/998XtQ4YMwdSpU6tRM4ZhGIZhGMvD79FiGIZhGIZhGIZRiNL3aPGlgwzDMAzDMAzDMBaGF1oMwzAMwzAMwzAWhhdaDMMwDMMwDMMwFoYXWgzDMAzDMAzDMBaGF1oMwzAMwzAMwzAWhhdaDMMwDMMwDMMwFqbGL7QSExPx4Ycfok6dOggNDa1udZ56YmNjYW1tjV9++aW6VakUkpKS4OjoiH//+9/VrUqNwtPTE507d8bw4cPRqVMnDBgwAGPGjEGnTp2QlJQE4MmPjapGiENzXsFhSWJjY+Hu7l4t/kxLS8PixYvx2Wef4dNPP8X9+/fN+v7s2bPxxhtvQKVSISAgQLZNSEgIZs+ebbSNpalunz4t1CQ785gCzJw5Ew0bNuT3JTJPJTV+oeXk5ITg4GA0aNCgulVhAPTu3RulpaXVrUalkZubi8zMTHHxwJTx888/IyAgAIcOHUJiYiLeffdd7NmzB+3bt8eFCxcAPPmxUdUIcVgVNi0pKdHb1rt3b3z33XeVLluX+Ph4uLq6YvLkyfDz88O1a9cwatQos46xfv16HD58GG3btjXYZuzYsVi/fr3RNpamKn36NFPduaNNTRxTTOlsaQICAqpkoVnV/WIYJdT4hRYAqFQq1K1bt7rVYJ4COnXqhFu3buHy5cvVrUqN4d69e+jTpw9ee+01cZu1tTUAYPXq1bh48WJ1qfZEI8ShYOvK5Ntvv5XdXr9+/UqXrcuSJUswevRotGnTBkDZgu/5558v17GU6F+VfaxKnz7NVJWdr1y5YjB3BGramKJE58qgYcOGlXr86uoXw5iiViy0GKYqadu2LWxsbKpbDQCQPSNb1WfDHR0dDV62261bN6xZs6ZK9XlaqKo4zMvLq3QZ5vDLL7+gc+fO4mdfX1/s3r27GjWyHDWptjzJVIWd8/Ly4O7uXmP0UYI5Otc2ntR+MbWfOtWtQHn44YcfEB8fDwCYM2cOGjdujNTUVEyePBnz589Hly5dMGPGDDg6OmLq1Klo37695PurV69GRkYGSktL8fLLL2PMmDHiPh8fHwDAu+++i19++QWZmZmYOHEi4uLicOnSJQwePBgdO3aUyAoMDERmZqasLFMQEY4ePYpff/0VKpUKnTt3hru7u15RXrNmDR48eAArKyu0a9cOAwcORKdOncotq7i4GN27d5eVpZSHDx9i1qxZaN68OSZPnowuXbpIZHl7e6O4uBg2Njbo3LkzPDw8xP1LlizBw4cP8ccff+DIkSPQaDQICgpCVFQUNm7ciGPHjiEiIgJDhgxBWFgYOnbsiMWLF2P8+PHo1KkTFi5cKNE7LS0NX375paxPlcbGkSNHcODAAZw8eRKzZ8/GzJkzZfut0WiwYMECEBFatmyJ6dOnl+tsXXp6OtauXSvr03PnzsHT0xObN29G165d8fjxY/j6+uL27dvo0qULOnXqhIiICAwePBgREREm7VPVGIsNANiyZQvOnj0LANi8eXO5frEuKipCcHCw7HFSU1OxceNG2Ri7e/cuvLy8kJubi40bN+LChQvo3Lkz/Pz8EBgYiKioKLRu3RqrVq2SyNOuG19//TWsrP45T2Uqnu3t7RX368iRI4iKisKePXv04jA1NRUBAQEYNmxYhWvPsWPHcOTIEfz8889wcnJCZmamuE+ogwIPHz7E1q1bcfnyZXh7e+v5Eyjzx+TJkwEAAwYMwKRJk8zSZ8eOHbh9+zby8vKwd+9eJCQkAAA+/fRTNG3aVNJWN99Hjx4t8YelSEtLQ1BQEDIyMtC/f3+JHF9fX6jVagBA8+bNRfv17dsXly5dAgAMHjwYAwcONNuncXFx+OKLL2R9+tVXXyE1NRUtW7bEiBEjsH37drRp0wbTp09X3C/d+rxs2TJJvQgICEBcXBw+/vhjREZGIjk5GR06dMD777+PJk2a4NatWzh69CicnZ3x/PPPY8eOHUhOTsbSpUvRpEkTsV9CDtrY2MDPz08vB4W8MGZnANi/fz/i4uIAAOPHj0dBQYF48ufjjz/G//3f/wEwnjv79u3TG1NefPFFhIWF6dVMU+PX3Llz8fPPP+P27ds4dOiQ6Htvb29JLVMypgh9T0tL04tlS+a7Up0Bw/XZnHlWbm4uvv/+e9y4cQPe3t4G9aro3EaoYwkJCUb7ZczO5vLrr7/i9OnT4mcfHx+cPHkSZ86cAQB4eHigXbt25To28wRCRIr/+vTpQ9VFs2bNKCQkhIiI8vPzqWvXrnT//n0qLS0lIqKSkhICQP7+/jRs2DBKTU2lrVu3UqNGjej+/fvicaKjo+nUqVNERFRQUEDe3t6Ul5cn7n/22WdpypQppNFoKDk5mWbMmEElJSWUn59P/v7+VFhYqCcrIiJCVpYS+vfvTytXrqTCwkIqLS2lzz//nN544w1Jm5iYGLp7967Yz+DgYNqxY4fZNtSWRUSyspQAgNatW0cuLi505coVWrt2LTVo0EDU8dGjR9S/f39RjtAvbXJycujRo0fUp08fSk9Pp3fffZciIiLo1KlTtGzZMlKr1dS2bVsKDQ2lO3fuULNmzcjV1ZWSkpKobdu2tHXrVvFY0dHR5OTkRETyPlUaG4WFhZSSkkLPPPMMbdiwQbbvKSkp1KNHDyouLiYioqCgIOrQoYPZNoyJiSFXV1dRP12fFhUVEQC6evWqaMP09HRq3bo1LV26VLRP7969TdrH0gAwaB9TsUFElJ6eToGBgVRQUEBqtZp69OhBmZmZZuvh7Oxs8DglJSUGYwwALVu2TGzTp08fmjRpEqWnp4sxWFYa/0G3bgwZMkQSY6bi2RwKCwspJydHNg5LSkro7t27Fqk9gpycnBxat26d+H9OTo7YRqPRiP4MDg6mK1eu6PmTqMynzs7Ooi+8vb3N9ml+fj7l5ORQs2bNaPv27aIuQo0XkMv3IUOGyB7TycnJYKyaaiPIEfwuyBH8fvfuXXG8SE5OJkdHR5oxYwbl5+fT5MmTxfGCyHyfpqamyvr0999/p6ioKCouLqbo6Ghq164dffrppzR48GCjfdRGrj7rjgMHDx4Ua+aBAwfo6tWr5OvrS46OjkRUFu8HDx4kf39/Gj58uNjG0dGRLl26JPZLyAshv3RzUImdiYjy8vLo+++/p4ULF1JxcTEVFxdTv379KDk5mUpKSsR2xuwsN6Zs2bJFr2YqHb9ycnKoY8eOktzRxdSYot137VgW+m7JfFeqs7H6rHQsJSJq164d+fj4UFxcHI0fP55efPFFmjJliqSNJeY2gs+N9cuQnctLXl4effLJJ1SnTh06f/48EZXVonfeeYdSU1MlMck8uQC4RArWTrVyobV27Vry8fHRawOABg4cSLm5ueK2fv360bp164iI6MGDB9SiRQu9782YMUP8f8KECTR58mTx8/Tp08X/i4qKFMtSCgBKTk4WP6ekpBAAun37trjtgw8+0PveF198YZYcpbKUHsfFxUVSzPr27UtffvklERFt2rRJb6KakpIiK2fMmDH0wQcfUGpqKhGVFbALFy4QEVGXLl3Edi4uLvT+++8TEdGbb75Jc+bMIaJ/fHrixAnJcbV9Kuis1F+GJl6lpaX0yiuvSOLjzz//1OurEj744APasmWLZJuuT7UXWgIuLi60dOlSIiqzz9SpU8XtcvapDEwttIzFBhHpTepeeukl+vDDD83Ww9vbW9FxdGPsk08+EWNM2P/RRx+JeSYMogJydWP06NF6MSYnSzuezcVQHGo0GovUHm0M+VOj0Zj0J1GZT3X9UR6fEklrvS6G8n306NGy7Suy0DIkx9B44eHhIY4XHh4ekvHClCylPn355Zcln8tzwk2uPuuOAxqNhgDoLeC8vb3Fk0wajYYGDx5MBQUFkv3/+te/xDYCQn7J5aASOwu8+OKL4gLoxo0bBvtoyM66Y4qAds00Z/xSEl/G2inpu6Xz3ZTOpuqzkrFUo9HQZ599Jn4uLS0lFxcXvYWWpeY2RMb7ZU7NUMrGjRvFEw9ERDdv3iR3d3fF37948SKNHDmSRo4cSePGjTPa9ssvv6S1a9eWW1emcnhiF1pWVlb0008/ybYBQKdPn5ZsGzVqlJjcwplrue9t27aNiMrOUqpUKnr06BHl5OSQtbU1ZWdn07Vr18ySZQ6PHz+mXbt20axZs2jWrFkEQDxLQkT022+/Ue/evSkgIIAyMjLMPr6crE8//VRWlhKU9l1bzqxZs2TljBkzxqAc7UHx1VdfpUWLFhER0dtvvy0OREp8ao7ORIYL9rx586hx48YG9TWH3377jRo1amTUp0oWWn5+fkRk2D6VgamFljE7r1u3juzs7CT7d+3aRQAoMTFRsQ5ykwxDxzEWY8L+kSNHGtwvF2N5eXl6MaZEljkYm5RbqvYIGFtomZIl51MiMtunAsYWWobyPS8vT88XRBVbaBmSoz0JF8aLnJwcGj16NFlbW9O1a9f0FqKmZCmxs0ajoYYNG0ra/Pbbb5KFjjkYGweEhZauTsXFxeTv729Q5+LiYlKpVGIbAWP5pcTOAjt37qR69erRiBEjjPZNyULr1VdfFf+Xq5lKxq+KLrSU9N3S+W5MZyX1WclY+v/+3//TO7aczpac2xjrlzk1Qyn79u2jZ599lojK7LZ3717F3502bRq99dZbVFhYSIWFhZSWlkY2Njbi35o1a8S2ERER9OOPP5JGoym3rkzloHShVavu0Tp+/DhmzZqFWbNmYfDgwWjUqJFZ37937x5cXV31ttetWxf37t0DALRp0wZt27bF+fPnYWVlhWeffRbR0dH4448/ZO9LqCg+Pj7YtWsXvLy88M0330CtVmPDhg2SNs7OzhgxYgRWrVqFzz77DG5ubti/f3+FZK1YsQIqlUpPliUgIixbtgxt2rTBihUrYG9vD7VajWvXrllclhKfWoqMjAy0atXKIsdydnbGrVu30KtXrwr5tLaRkZEBlUqFhQsXittKS0sxe/Zss17hkJGRITlGeY8jINxXIodcjNna2lZKjNVG5HwKoNy+MIahfLe1tbW4L+RiQvC7gDBenD17FuPHj8eZM2cQGRkpq2NFqVOnDlasWIGSkhLxaXo7duww+x1gcvVZ6ThgbW0t3pdmaH+9evX02hjLLyV2Fnj//fcxb968Sn0gUFWOX+b0vSqwVH1+8OCBonaWmtuYwpCdK1IzGjZsKMZhQkIC5s6da/I7jx8/xuTJk9G7d2+MHTtW9HPjxo3x/fffi+2uXbuG9957DwDQsmVLzJs3D3Xq1KrpOqNFrfJccnIy9u/fjwMHDmDhwoXYuHGjWd9v3Lgx8vPz9bYXFRVJEnHQoEE4e/YsrKys4OLigrNnzyI1NbXC+ssREBCAK1eumJzA+/j44PPPP8fhw4cRGBiIw4cP44033qiQLGMDZkVYsWIFAgICJDfXVxZKfWoJGjZsiKysLIsdz8HBAX///XeFfFrbsLe3h5WVVYWfVGhvb2/0BmtLIhdjarW6UmKsNmIpnyrBUL6r1WqL+8KQnKKiIsk2YbyYN28eXFxccOXKFfGhIJbG1dUVHh4ecHBwwP3799GiRQuzj1GR+qzRaNC4cWOj+wsKCoy20UWpnYGyMeyjjz7C//73P8XHN5eqHL/M6XtVYKlcNmdRZom5jSkqo2bY2dmhpKQEpaWl+OqrrxR/z8rKCv369cO//vUv8YEuNjY24sIKKFvc3rx5EwDQqlUr/PXXX/jrr7+e6pde12Zq1ePdJ0yYADs7O/z11194+PAhCgsLzfr+vn37sH37dr3tw4YNw7Rp08TPPj4+WLNmDTQaDby8vLB8+XI4OTlVVH1Z3njjDckiS6PRiP9nZ2ejpKQEHTp0AFB2ttDNzQ0HDx6En5+fxWVZivXr1+sVSkFWdHS0RWUJPtV9GaSuTy3BF198gezsbKxbt06y3dzFl+DTgoICoz61t7cXn64JAGfOnMHFixfLrvlVSGpqKtzc3Mx6IlllMm/ePL0nyKnVanz22WdmH2f58uUVPo4S5OrGokWLKiXGqov09HTxf3N/LRB8quuPyvSFbr4vWrTI4r4wJGfYsGGSbT4+PtBoNLC3t4eXlxecnJwq7f1N06ZNQ05ODurUqQNXV1e89dZbZh9Drj4L6NZn7foDlP1KOWPGDKP7e/XqJWljCqV2JiK8/fbbWLNmDR4/fqz3C6qlMGf8euGFF8TcKS0txaJFi8ySpbTvlsSYzpaqz0uXLsWRI0fEz7dv38bPP/8saWPJuQ1gvF+VUTNatGiBrKwszJ07V/GJhcaNGyM0NBQ3btzAqlWr0LBhQ/GJxW5ubuKflZUVQkNDERoaikGDBuH333+vlncaMpahViy0CgoKkJeXJ5kM+Pv7Y8GCBXpttdsAZY8lFrZ17twZAQEBSEtLE/cfPXoU27Ztk3ynbdu2aN26NQYMGICePXuiQYMGspeCGJOllL179yIyMhIAEBoaivnz58PW1hYJCQlo0KABrK2t8fDhQ0mRyMrKgqenp1lydGXl5eXpyTIHY32fO3cu9u7dK8oR+pWQkIADBw5IZD18+NCgjJycHMn/wi9w2dnZ4v+CT7XfoSHnU1M6C5SWliIrK0vWj02aNMH27duxcuVKceC9fv265LG/ShB8qq2znE89PDzg5eWFn376Cf7+/ggKCkK/fv0QEhICQGoTQ/bZu3cvIiIiLP4iR2NxbszONjY2CA0NxYYNG8SzjJMmTVJ02YU2NjY2CAgIUHQcYzGmq58ccnUjKipKNsZMyTIHQ3Eop295ao82wcHBiIqKwq1btzBnzhyzZAk+DQgIEH2h9FIaOXRrvTaG8j0qKkqvrbFc1sZQG0GO4HdBjtx4MWDAAABAz549jV42WFGfTpo0CR06dMDNmzfxzTffYPjw4WadTQfk67MwDujW5+DgYBARioqKsG7dOoSFhUmOFRwcjB9//FFsExYWJtYnbYz5QImdS0tLMW/ePLRt2xZAWQ39+uuvER4eLntMQ3bWHVMEtGumOeOXu7s7goODxbwZOXKknkxjcaik75bOd2M6K63PpvRxcHDAtGnT8Msvv6CwsBCff/45XnvtNRw7dgz+/v4AYNG5jXa/oqKi9PplyM4VoUGDBmjXrh1Wrlyp+Dv5+fkICgrCvXv30LFjR3Fh9cYbb8DBwUH8u3HjBoKCghAUFITIyEi88sor6Nu3b4X0ZaoPlTlnx/v27UvC+0Gqinv37mHlypXIysqClZUVduzYAQBYvnw5EhMT0aFDByxduhSJiYlYvnw5rK2tMXbsWAwbNgxeXl5iEmtf/zpz5kzY2dmhqKgILVu2xPz58/Xkrlq1CjNnzkSjRo3g5eWFVatWQaVSAYBZskxx6NAh7Nu3D3l5eRg7dixGjBiBgwcPIjw8HJs3bwZQ9v6erKwsZGdno2HDhrC2tsbq1avNtqW2LHt7ewQGBurJMoXSvh86dAg7d+6Evb093NzcMGLECEyZMgVjx46Fq6srPD09UVJSgszMTDRp0gR169bFO++8AxcXFwBlZxUvXrwIT09PxMbG4tSpU1CpVHjzzTcRHh4OlUqFnTt3inrFxMTghx9+kPWpUp3DwsJw7NgxPH78GCqVCi1atICXlxeaNWsmsUF8fDxmzpwJe3t7tGvXDgsWLDD7Ep7Vq1fjhRdeQGRkpEGfajQarF+/HufOncNbb70FDw8PbNq0Cd27d0dsbCwuXrwIKysrDBo0SNY+wrs83nvvPbRo0QKHDh0yS0c5du3ahcOHD0OlUsHBwUHy6545ebFw4UJcunQJtra22Lp1KxwcHMzWJSUlBRs2bJA9TmJiIrZs2WI0xoQ2aWlpICI0bdoUY8aMEffrol03VqxYATs7O3GfqXg2h7CwMERGRiI1NVW0s7e3N5o1a4bExET4+fkhPz+/wrVHm+DgYISHh8POzg7Tp0+Hs7OzrCwAGDduHACgY8eOWLJkiXiMlJQUfPTRR7C1tUX79u3NPjMt+CM1NRVWVlZwcHDARx99hG7duum11c33GTNm6PmjoKBAkssTJkyQ3Ge7efNm3Lx5U2LniRMnStrExMRg27ZtsLOzQ7NmzfTkCGRnZ4v3DBOROFYIyPlUpVLB19dXsZ23b9+OvXv3ShYXxcXFqFu3LpKSksy6f1S3PgNAeHi4WJ+F90edOnUKO3bsgFqtRpcuXTBr1iyxHhYXF+PMmTO4d+8eTpw4AbVajU2bNon7tXMwIyMDTZs2NZgXxuysPQfw9PREz549ceHCBXzzzTdQqVT473//i1GjRpm0s9yYMnXqVCQnJ+uNKabGL22Cg4Nx+vRpMW90/W5qTBH6bmNjoxfLpvJdNweVYkxnwHB9NqfG//bbb2J93bVrF/bt24dWrVqha9eucHR0BGC5uY12v8LDwzFv3jy9fhmzc3lYvHgxhg8fjldeeUXxd4T33wUGBhq9vNjb21u0gzCmMzUPlUoVQ0QmV8A1fqHFMAzDME87b7/9NpydnfUuT6tTpw6uXr2Kzp07W0yWsNA6ffo0Bg0aZLBNVFSUwf0M86Ry+vRpREdHw8vLy6zvlZSU4O+//0bz5s2NvsT+0aNHePz4MYCyX87Kcy8mU/nwQothGIZhniDCwsJw/PhxNG/eHHl5eUhLS4O/v79ZD59Qwvvvv48ffvgBvXr1wsWLF/X2x8bGwtfXF7du3cIHH/z/9u48vKZr7wP49+RkPpnIREypkKEUryTUPLRolVLFRVAzbdE+paqqvapUe829OmhL9ZbH0FJtddDhrSKlKpp4yTWHDCKTzDnJOTnn9/6Rm32znUwnDgm+n+fJ82SvvfZav713wvllr71WlGq4KdHdSK/XK5NRlI8moXsbEy0iIqK7UG5uLpydneHk5FTfoRAR3ZNqm2jdUdO7ExER3es8PT3rOwQiIqoFPvskIiIiIiKyMSZaRERERERENsZEi4iogXvrrbdgMpnqOwwiIiKyAhMtIqIGbPfu3Xj55Zdx7Nix+g6FiIiIrHBHJVonT55E//798eCDD2Lx4sV1amPp0qUIDQ1VfY0dO1bZbzab8cADD1jUCQ0NxalTp5R6VdUJDQ1V6phMJmzatAlTp07FQw89hP79+1cb29NPP12nmMuVlpZi/PjxmDZtGvr06VPpwn+lpaVYtWoVxo8fX2Wd22HMmDHQarU4cOBAjXWTkpIQEBCgTK1qrRMnTtS6r9oqj8eaWTutcfbsWdjb22PHjh23pP170QsvvIDQ0FDMnj0b8+fPx/z58zF+/HiEhYVZfR/nz5+PCRMmwMnJCYMHD75FEZd58skn8fe//x3dunW7pf0QERGRbd0xsw7Gx8ejR48eyM/Ph9FoVFaCt9b58+cxcuRIVVmnTp2U7y9evIhTp06hd+/e6NatG+ztyy5Reno67r//fqVeVXXK/+osIhg+fDgGDhyITZs2AQA++ugjHDp0CL169VLaiYmJwY4dOxATE4PWrVvXKWYAMBgMeOyxx/DTTz8BAH755Rc8/PDDqgX1yuuMHDkSW7duVep4e3tXu0r5rfDxxx9j586dtapbWFiIzMxMODg41Kmvzp07w2w21+nYqpTHYzabodVqbdo2AISEhMDV1dXm7d7LFi5ciLVr1+LMmTOqcgcHB2g0GqvaWrVqFUQEP/74I/72t7/ZMkwLW7duxWuvvXZL+2jIzGYzNBqN1feoofdFRER3vzsm0Zo2bRoiIsqmq3dwcMDatWvx1VdfYdiwYVa1k5eXh2XLllW5Pz4+HhMnTsSnn36qKp8zZ45qgbqq6qxevRrKe5npAAAgAElEQVQAsG/fPvz222/4+uuvlf3Tp0/Hww8/jJ9//lkpCw8PR3h4OIqLizF79uw6xQwAixYtQvPmzZVtb29vODo6Vlpn5syZqjr5+fnVtn0rODs717puaGgozp8/Dw8Pj1sYkXXK47kVSVa5G+8f3Zy9e/dWmqx37NixTu0dOXIEOTk5GD58+M2GVqmCggIsXrwYAQEB9/TimAsWLMDixYttvihvffdFRER3vzsi0Vq4cCGOHDmClJQUpSwoKAghISHIysqyak2Rmp5sPP744xbJ2/jx4y2SoBuTrPI6Dz74IAAgOTkZ+fn5WL9+PZ5//nmlXkJCQqX9Vpd41BTz+++/j9WrV6OgoEAp69SpE0pKSlT1alOnoWrVqpUq9vrW0OKh6qWlpeHpp5/Gli1blLKEhAT4+/uj4iLsZrO50qTmxnKz2YyRI0diy5Ytt2xNIzc3N6xbt+6WtH2nCAsLw6uvvnpbEp+rV6+ic+fOTLKIiMhm7ohEKyYmBh4eHggICFCVm0wmnD59Gt27d691WxqNBnl5efjrr79QXFyMTp06wd/fX7W/ojNnziAxMVFJoKpyY51Zs2ahZ8+eCAsLU8Vb03tadYk5OjoaPj4+0Ol0SElJQWpqKlq1agVfX19VO+V1ACAlJQWOjo4WdW7WqlWrlATEx8cHmZmZAIApU6Zg8+bNAID+/fur7tnKlSsRGxsLHx8fzJgxA+3atVP2LV68GJmZmfjll1/w3HPPVfnUz2g04qWXXoKIoGnTpliwYEGl9a5fv445c+ZU2ldt/PDDDzh8+DB27txZZTzp6enYvHkzsrKyYGdnh169eqFNmzaq9/estWvXLsTHxyvbs2bNwoYNG3Dy5El8+umn2LhxI06ePImlS5eiTZs2FsenpaXh7bffhtlsRrdu3TBq1CjY2dkp92vkyJE4cOCAcr8iIiKUBKRiXwsWLMDhw4dx8uRJBAQEYNWqVVafi4hg0aJFKC0thYODA15//fVKnzSlp6dj5cqVsLOzQ1BQEAICAjBkyBCr+wPKrp+jo6Pqjyhr1qzB+vXrle0VK1bg1KlT2LZtGwDgq6++wuHDh3Hs2DFs375d9e/Pb7/9hpycHAwdOrTKPuPi4rBjxw4UFRVh+vTpaN++PQBg586diI2NRVpaGp5//nl06NABp06dwooVKzB+/Hg8+uijVp1b+RDGw4cPAwC6dOkCo9GIESNGWNUOAJw+fRpffvklMjIyMGLECPTp08eizsKFC1FSUgJnZ2eLdzznz5+P5ORk7NixA7Nnz0ZGRga6du2KF154odYxG41GLF++HJcvX8aZM2dw4sQJnDt3DgCwZMkSVTspKSn44osvkJaWhuLiYkyaNAkdOnQAUHad//zzTyQnJ2PmzJnYvXs3MjIysH37dlXSvGTJEly+fBm7d+/GzJkzq+yLiIjIaiJS66/w8HCpD23btpWQkBCLcgCyY8cOq9oaNmyYREZGysSJE2Xo0KHi4uJSbf1x48bJF198UWO7tamzfft2OXfuXJX7p06dWml5TTGHh4dLSEiIpKenS3h4uPTt21dcXFxk9OjRqnrldR599FEJDw9X6hQVFdUYe21duXJFfH19ZebMmZKcnCwBAQHy7LPPislkkhkzZsi6deukpKREjEajAJDVq1fLp59+KnFxcbJy5UpxdXVVtZefny8pKSni6ekp//znPyvtMyUlRTp27CilpaUiIrJ582bJzs5W1Snvq0ePHqq+rly5YtX5lZSUSH5+frXx9OvXT2nXZDKJs7Oz/Otf/7KqHxERb29v2b59u4iI6PV6ad++vbzyyiuSmpoqJpNJrly5IgDkkUcekW+//VauXbsmHh4ekpqaqmrn6NGjyu9PcXGxLFq0SAYMGCAi/71fRqNRdb/0er1yvyr2tW7dOqWvTZs2WfRVk+zsbOnatauUlJSIiIjZbJZHH33Uol5MTIz069dPRMqu4aeffirOzs7WXcAKevToIU888YRyDd577z157rnnVHUyMzNV97SoqEiGDRsmffr0sWhv5syZMnLkyEr7KiwslOnTp8sLL7wgKSkpsmfPHtHpdHLy5Eml3fz8fHn66aelsLBQXnnlFdmwYYPodDrlnK0xduxY+fHHH8VsNktsbKz4+fnJlClTrGojLy9PJk2aJDNmzJC0tDS5cOGC2NvbKzGLiCQkJMjDDz8ser1eRES++uoruXbtmqqd0NBQmT59ukyZMkUSExPljz/+sPidrilms9ks+fn5kp+fL0888YTyfX5+vqqNZ555Rp566ilJSkoSEZGff/5Z3N3dJS8vT0TKrnN5PO+9954Sz65du1TtlLc9efLkKvsiIiKqCMBxqUXudEckWk2aNJFOnTpZlAOQjz/+2Kq2WrRoIWazWdn+9ttvZdu2bVXW9/PzE4PBUG2bly9frrFOVlaWNG3atNo6VSVaNcUcGBgo7du3l4EDByplMTEx4unpqWqnvM7BgwdVdebMmVNtXNaaPHmyzJgxQ0REJkyYIM8884zyffl1Kk+0evTooTo2IiKi0jZDQkIqTWzMZrN0795d6U9E5OLFi7JhwwZVvfK+Kn6AioiIkLfffrsOZ1h1PCIiH330kcX20qVLre6jYqK1cuVKWbJkiWp/+TUsLCxUyiIjI2X16tXKdlZWlvj7+8vPP/+sOnbUqFHK95MnT1a+r+l+9e7dW9VOxb5q44MPPpCyv+/8FwC5dOmSqiwqKqrS61hXGo1GRo8eLfPmzZNBgwYJADl8+LCqzokTJywSh6CgIHnvvfcs2vPx8anyjys9evSQd955R1XWvn17WbBggaqsT58+Mnv2bCVZnTx5svz1119Wn9u+fftU20uXLpUPP/zQqjY6d+4sr732mrJ9+PBhASC7d+8WEZHTp09LUFCQHDlyRHXcsmXLVNsajUbGjh2r+j1r0aJFnWI2Go3y+eefVxmzo6Oj6o9Ex48fF41GI9evXxcRkaSkJCWeijZv3mzRltFoFB8fnyr7IiIiquiuSrRCQ0OlTZs2FuUVPwjcDI1GIwUFBRblRqOxxicRRqNR/Pz8qq0zatQo2bRpU41xVJVoVaZizC1btpSgoCCLOr/88ov89NNPynZVdW784Huzrly5IhqNRvLz82XUqFGi1WolLy9PldSUf3D/9ddfVcc++eSTlbZZVWLz4osvipeXV40xVdXXzJkzaz4hK+IREfHw8JDOnTvLhg0bJCMjo07ti/w30fr888/lyy+/tNhffg0ruvGcwsPDK/25Kioqkk8++UREyu5Xdna26n6dOnWqVverrtdv27ZtMnfuXJkzZ44AsPgA/8cff4iHh8dNX8Nyf/vb35TvCwsL5aWXXrKoExgYqNqeN2+e8uTvRuPGjau0PDo6WmJjY1VlV69eFY1GI1u2bFHK1q1bV+nvo7UKCgrEz89PXn31VUlJSalTG3v27JH4+Pgq9z/77LPSrl071R97ylX8A4eIyFtvvaXaXrVqlcUfyWob81NPPVVt3AUFBbJ3715ZtGiRzJs3T3Q6naxfv17ZHxkZWWk8VfUVFRVVbX9ERETlapto3RFTWQUFBakmwqiosvdRrCUiyMnJsSiPjo6ucUay6OhopKenV7nfbDZjwIABmDJlyk3HWVHFmH19fZUp5isKCAhAUlKSsl1VHVtr2bIlWrVqhejoaEyaNAm+vr44evQo+vXrZ/O+MjIy0KxZM5u3ezPOnz+PoUOH4s0330RAQADi4uLq3NZPP/2Ezz//HHPmzEFeXp7Vx1+9ehWNGjWyKHdxccHVq1cBlN2vI0eOqO7XwYMHb8n9EhEsWbIExcXFWLZsGd55551K63Xp0gXnz59XruGIESPqfB0vXbqkmoLdxcUFy5cvV9U5evSoxb8xu3btwpgxYyzaMxgMlZYDwIYNG7B9+3YsXLhQ+Vq7di3mzp2revdq586dmDhxYp3OpyKdTofx48djzZo1aNWqler3vbb++c9/qt4lvdHmzZsxc+ZMi/dXU1NT0bt3b2X70qVLGD16tKrOjh07LKa/r03MJSUl2Lt3b5Ux5eXl4ZFHHkFhYSFeeuklrFq1Cnq9HqNGjVJiOX78eKXxVNVXVfeUiIioru6IRKtLly7Q6/W4dOmSqtzNzc2qCQaOHTtW5WQUlU0dfuDAATRp0qTaNmtaBPf555/H9OnTle3k5GQYDIaag/2P2sTcrl07JCYmWsxOaDAY4ObmpmxXVedW6Nu3L6Kjo9GrVy/06NED0dHR6Ny5s837cXNzQ25urs3bvRl+fn5YsmQJEhMTsWfPHnTr1g3ff/99ndpKTk7GZ599Bq1Wi4ULF1p9vJeXF/R6vUV5QUGBKgGLjo5W3a+4uLhbcr+WLVuGDRs2YMqUKXB3d6+2rp+fn3INjUZjnRfs3blzpyrJ0Wg00Gq1qt+FHTt2YODAgarj0tLS8MQTT1i0t3//fgwaNMii3Gw24/vvv8dbb72l+vrHP/6BdevWwc/PD0DZ7+HRo0dttv7W6tWrkZSUhDfeeAOPPfaYVcfm5eXh0KFD1dbR6/WVLqPx3nvvqSbc2LlzJ+677z5l+9KlS4iJibFIdmoT8/fff1/llPapqamIjIzEgQMHMG7cOOXfwd69e6Np06ZKLJGRkZXGU1Vfld1TIiKim1Kbx15Sz0MHRURGjBghHTt2VLYPHDhgMUTnsccek6efflpMJlOlbaxdu1Z0Op2qTK/Xq95NqCgsLEwuX75cbVxhYWGVDr37448/ZPjw4RaxhIWFVdlWxXdlrIm5uLhYWrZsqRoeJSIyf/581XZVdbp16yYiIrGxsaLT6WwypOny5cuycOFCESl7d8LOzk6131ZDB69fvy4eHh4WQ4JuHNJWVV+2HjpYWlqqTBZQ7scff6xyCFp1Kr6jJVI2/C0kJESKi4tFpHZDB+Pj40Wn00liYqKq3ty5c1XbWq1Wdb/WrFmj2m+roYPe3t4yfvx4VRn+M3TwyJEjkpubK6WlpdKmTZtKr6O1zpw5Y3GNzGazzJ8/X/bs2SMiZT+rACQmJkap89lnn1U6bFiv14u7u3ulfeXl5Vn8nItYDlcLDw+XFStWWH0uFZ05c8bifTmRsmF+1jh9+nSl/3698cYbyveenp6qYYNms1kGDx6s+hk6c+aMaDQaVRsdO3ZUnbs1Mbdp00a2bt0qIiKpqanKO2/Z2dkCQF5//XVV/WPHjklGRobs379fRMqGVt/4M39jPDX1VdP/J0REdO/C3fSOlohIRkaGBAcHi9FolMTERAkNDbWoA0AAyPHjxytto7i4WAYMGKDMTldcXCxTp06t9P0sEZFmzZrJhQsXqo2rWbNmlX5Q6dWrl0RGRsqgQYOUr379+knfvn0rbScuLk7atGkj6enpdYr5999/F3d3d+VDwXfffSfBwcGV1vnHP/4hJpNJqVM+E+Lx48fFwcHBZu9sffvttyJSlny4ubmp9qWlpQkA2blzp6q8slnXTCaTNGnSRF599dVK+9mzZ480atRImbjh1KlTcvHiRVWdqvoqn4nOWtXFM2zYMNWHvOHDhysfAK3h4uKieuckNTVVnJyclNnyyq9hRZWd0yeffCLdu3dXtn/44Qfp3Lmzqk5gYKDqft04KUNV98va67d8+XJl9sDCwkLZvn27uLi4yCeffCIvvfSSGI1GERFp3LixDBs2TDkuJydHhg8fblVfIiJz5swRrVarbJeWlsqAAQNk6NChSllSUpIAkGnTpsm+ffvkmWeekYULF8rEiRMlISFB1d7GjRvFwcGhyv7GjRun/OwVFBTI+++/r0pSjh49apHU1cW7774rGo1GmSzCbDbL119/rcy4Z42uXbsqE3Lk5uYqM02WCwsLU71jOmHCBItJZObMmSP333+/qgyAxMXF1Snmtm3byty5c2Xfvn2ycOFC5Xe7qKhIvL29ZfDgwSJS9sehpUuXSq9eveTPP/9UJrq4MZbo6GiLeG7s69KlS6q+avr/hIiI7l21TbQ0ZXVrJyIiQiou7nm75eTkYPTo0XB2dsa0adPw+OOPq/aHh4fD398fe/bsqXIBYBHBrFmzYDQaUVhYWOkaL+XefPNNzJs3D05OTlXG9Oabb+LQoUMWQ8NefvnlSt896NmzJ2bNmqVsHz9+HFu3bkVWVhZEBPb29vD29sZzzz2Hli1bWhXzlStX8OKLL8JsNqNt27aYN28efHx8LOqsX78eycnJCAoKsqhz5MgR9OrVC6WlpVWec23l5eUpw3pefvll1Zo7s2bNQkFBAbRarbL4c/k1Cw4OxmuvvQagbF2e4uJi5OTkQKPRwN/fHy+//DK8vb1VfcXHx2P27Nlwd3dHUFAQ1qxZo+w7e/Ys3njjDWi1WowdOxaPPPKI6v5s3bq11uf09ddf4+DBg7h27Ro0Gg38/Pyg0WhU60nt2LEDsbGxyMvLg5ubGyZOnKisoVRbV69exYIFC2BnZ4chQ4Zg9OjReOONN3D27FkAwKuvvoq1a9eioKAA48ePxyOPPAKgbOFsAKprCJStRbdr1y4YDAY0bdoUzz77rLKmGlD2czx79mzlfomI8k7O2bNnlb5qul+18d133+Gzzz6Du7u7si7Wvn37MHbsWOW9sBUrVuC+++7DwYMH4ebmBq1Wi6ioqFpfx6ysLCxZsgTZ2dkAoAwBzs7OhsFgwPLly5XfL6BsAfLdu3ejd+/emDRpEo4cOYIOHTqgWbNmsLe3xw8//ID9+/cjMzMTIoImTZqgf//+GDx4sKrfkpISDB48GDqdDk2bNsXMmTPRuXNn6PV6vPbaa0hLS4PZbIarqys8PDzqtA4ZUPYza29vj7Nnz6KwsBAODg7o3r271UMHy6/J8OHD4eXlhSZNmmD69OmIiIhQ9qenp2PZsmUwm83w9PTE9OnTERgYCKBsWOGCBQuU61z+u/TRRx/ht99+g06nw5o1a6DT6ayKOTo6Gu+++y6GDh2KMWPGqN4PO3PmDN555x2UlpYiMjISY8eORWJiIn7//XeMGzcOL730ErKzs/Hggw8q69xNnDgRZrMZOp0OGzdurLQvjUaDrVu3Kn3V5v8TIiK6N2k0mhgRiaix3p2UaNGtl5mZidDQUGXhWiIiIiIi+q/aJlqW09DRPWvbtm1o3bo1kywiIiIiopvERIsUUVFR9R0CEREREdFd4Y6Y3p2IiIiIiOhOwkSLiIiIiIjIxphoERERERER2RgTLSIiIiIiIhtjokVERERERGRjTLSIiIiIiIhsjIkWERERERGRjTHRIiIiIiIisjEmWkRERERERDbGRIuIiIiIiMjGmGgRERERERHZGBMtIiIiIiIiG2OiRUREREREZGNMtIiIiIiIiGyMiRYREREREZGNMdEiIiIiIiKyMSZaRERERERENsZEi4iIiIiIyMaYaBEREREREdkYEy0iIiIiIiIbY6JFRERERERkY0y0iIiIiIiIbIyJFhERERERkY0x0SIiIiIiIrIxJlpEREREREQ2xkSLiIiIiIjIxphoERERERER2RgTLSIiIiIiIhtjokVERERERGRjTLSIiIiIiIhsjIkWERERERGRjTHRIqolEYGI1HcYRERERHQHYKJ1h8jMzLQoy87ORkJCAvLz8+shontPbm4u8vLy6jsMIiIiIroDMNG6Q5w7dw6pqakoKSlRytLS0hAXF4f09PR6jOze4eXlBU9Pz/oOg4iIiIjuAEy07hC//fYbxo4di7i4OKVMq9VCRJCTk1OPkRERERER0Y2YaN0hHBwccOzYMURHR+PChQsAAGdnZ/j5+cLP17ueoyMiIiIiooqYaN0hhg8fjmPHjmH//v34+OOPAQBZWVm4fj0bLVq0qufoiIiIiIioIiZad4icnBwEBwdj2rRpcHV1RXJyMoqKipCdnQ1oNDfVdkZGBifUICIiIiKyISZad4jU1FQ4Ojpi5MiRCAwMxP/+7//i0qVLKC0trXObBoMBcXFx2L9/P7KysmwYLRERERHRvY2J1h3i9OnTyvdDhw7F22+/jXXr1uHq1at1bvPKlStITEzEgQMHkJycbIswiYiIiIgIgH19B0DVKy4uxvXr16GpMDywUaNGePTRR3Ht2rWbWkDX0dERDz30EDIyMmwRKhERERER/QcTrQYuNzcXf/75J0JCQlTlq1atQmxsLBITE+vcdqtWnESDiIiIiOhWYKLVwHl5eaFr166VPrm677770KRJk3qIioiIiIiIqsNEqwG5fv06TCYTRAQajQZ2dnYQEWVh4oyMDIuES6vVIisrCyICs9mslHt6esLJyel2nwIREREREYGJVoMyf/58JCQkwGg0wsXFBY0aNYLRaERRUREKCwvh5OSE4uJimEwmAICTkxNcXV3h5uYGvV6P69evw2w2w8HBAW+//Ta6d+9ez2dERERERHRvYqLVgLRu3Rr79+/HtWvXEBgYiGeeeQalpaUoKSlBSUkJHBwcYDAYlCdXDg4OcHR0hLOzMwwGAwoKCvDvf/8b3333HVJSUlBUVARXV9d6PisiIiIionsPE60GZMGCBRg/fjzeeustbNmyBQEBARg7dqxVbeTn5yM5ORlffvkldu/ejQkTJtyiaImIiIiIqCpMtBoQR0dHBAYGIioqCk5OTti8eTMKCgowefJk2NvX7la5u7sjJCQEffv2rfFp1tWrV/HXX3/h8OHD+Omnn5CcnIyHHnoIXl5ecHBwsMUpVcpkMmH79u0oLCzEsGHDbvuEHvPnzwcAjBkzBhEREap96enpOHv2LH799Vd4e3tj0qRJ0Ol0tzU+IiIiIrrz3VWJVlFRETIzM5GRkQGDwYDAwEA0atQIzs7OMJlMyMvLw7lz52BnZwcvLy80bdoUbm5u9R22hV69esHb2xujRo3C119/jbZt26Jv3761Pt7Ozq5W72cVFRUhMTERIoKkpCRcvHgR3bt3h6en501EXzMRwXfffYeMjAz07Nnztida+/fvx7///W84OztDp9MhLCxM2afX65GYmIg9e/age/fuMBqNtzU2IiIiIro73FWJVsUhcxkZGXjttdfQv39/tGrVCgaDASdOnMCsWbPg4uKCfv36YerUqejQoUN9h12p4OBgLF68GPv27cOoUaNuyaLCgYGBeOqppzBu3DiYTCY4OjrCxcUFdnZ2Nu+rIq1WC0dHRwC45X1VZvny5YiKisK6deuQnJyMLVu2KPuaN2+Onj174sSJE/j73//eIBNxIiIiImr47qpEKzg4GC+++CIOHTqEnTt3omnTpnB2dgYAuLi44P7778fChQvx22+/YfXq1bUejlcf7O3tMXbsWIwYMQI5OTmYNGkSWrdujW7duuH+++9Hs2bNbNJHXa+B2WyGwWCAyWSyOjnTaDQAyhIuFxcXi/3JycnQarXQ6XTw8PBQ7TOZTEhISICIIDAwsE5DHD08PKDRaBAcHIz4+Hhs374djz/+OHQ6HbRaLQwGA44ePWrRNxERERFRbd3+xwm3yX333ackWeWSk5Oxdu1ahIaGKh/2GzonJyf4+/tj4MCBWLZsGTZs2IDff/+9vsOC2WxGbm4u0tLSlOnmrSUiKC0ttSiPjo7G8ePHkZycbLGvpKQE33zzDb788kvo9fo69Vvuueeew4IFC5CSkoK0tDSl3M7OjrM1EhEREdFNabiPdG6B0tJS5ObmokOHDndMolWud+/e2LZtGzZt2oS3334bnTt3RlBQUL3E8s0332Dr1q3o1KkTdDodfv/9dxQVFaFt27aYPXu28i5cYWEhJk2aVGU75U/FgLL3xT7//HMkJCRg+PDhiImJwa5duzBhwgQMHDgQAJCdnY2ZM2ciKioKxcXFmDp1KkpKStCmTRssWrQIPj4+tYrf1dUVYWFh8PT0ROPGjbFhwwaICF588UUAZU/6GjdufHMXiYiIiIjuaXdVopWbm4tLly4hLy8PTz/9NLy9vaHRaGA0GuHk5ISkpCRcv34dffv2VRIts9mMvLw82NvbW7yPU1BQAJ1OV2NSptfrERYWhoKCgkr3e3l5oV+/fhg3bhz69etXp3Nr3rw5Ro0ahVGjRuHDDz9ESEgIXnjhBbz88sto1KhRrdsREZjNZuj1ehQXF0Oj0UBELOpVl7QMGDAA3bt3h4hAo9Fg3LhxsLe3R0FBAb744gs4OjoiMjJSNclEZYxGI/Ly8pCdnY34+HisW7cOAwYMQKdOndCpUye0a9cOr7/+Oq5cuYIpU6Zg6tSpWL9+PXx9feHs7Izly5dj9OjRWLx4ca3PHyh7SjhixAjcd9996NChAwICAvD6669j5cqVOHfuHAwGA6fFJyIiIqKbclclWjk5OYiNjUVeXh7mzp2LrKwsGI1G2NnZoaCgAFqtFvb29qr3gvLz8zF//nx06NABc+fOVbW3ceNGzJ49G05OTtX26+joiO3bt1c5hM7e3h5eXl7w9/e/+ZMEMGTIEKxevRo7duxARkYGPvnkk1ofazQakZubi23btuGbb76Bg4MDTCaTxTC8w4cPV9nGTz/9hI0bNyqJaH5+Pjp06ICePXviySefhMFggMFgwMaNGzFv3rwq2zGbzSguLsb//d//4YMPPsDVq1dV+5s2bQq9Xo/o6GhMnjwZALBu3TrMnDkTwcHBtT7nG+Xn5yMoKEh5B+uVV15B8+bNsWnTJmRlZcHZ2RktWrSoc/tERERERHdVonX16lXs2bMHHh4eCAkJQXZ2NkpLS2FnZ4fs7GykpqZCq9VCq9Uqxzg4OOD8+fO4ePEinJ2dMWPGDKv71WoEFy5cUCaE0Ov1KCkpQVFREUQEjRs3RrNmzeDi4mLV06eqBAQEQKfTwcfHBx07drTqWDs7Ozg6OqJZs2bo1KkTXJzsAY0GBqO51m34+/sjMjISer0ezs7OKC4uhr+/P0pLS/HNN99ARODr64vWrVtX207507Vr167h0KFDyM3NVe13d3eHg4MDMjMzAa9z9FMAAAkHSURBVADDhw/HW2+9BZPJhICAAAwZMgTdunWz6vyBsieVFROtdu3aoVu3bjh06BDef/99BAQEYOjQoVa3S0RERERU7q5KtFJTU/Htt9/izTffhJ2dHby9vZV9ly5dwrlz5ywmX3B1dcXQoUOxe/duLFmyBAMHDkRgYCAA4IEHHlAlZVXS2KFDhw7KUDqz2ax8ubq6wsXRDBe3xvDw8Lqp8zOZTIiPj8evv/6KlStXomPHjrV+L6mcvb09PD09MWLECIwYMQJ2mv/MAqip/bwoXbp0QZcuXSxi0+v1uHbtGjQaDdzc3Gp8gufm5oY2bdqgffv22LRpk7KQcLmEhAS0aNECQ4YMgZ2dHXQ6HZKTk9G5c2d06dIFgYGBFhOe1MaHH36IzZs3q9YLe+SRRxAcHIz27dsjJCQEQ4YMsbpdIiIiIqJyd1WiVa558+YWZXFxcYiNjcWAAQMs9nl5eWHQoEHQaDQ4fvy4kmjVeg0ljR2Cg4OVRKviO12Ojo6wQymgsbcqmblRUlISjh07Br1eDw8PD3Tq1EmVSFqrVgmkle2VJ061de7cOaxatQpr1qxBx44dERkZiYSEBKSnpyMpKQl79+5FYGAgIiIioNFo4OvrC4PBgB9++AHx8fFKO82bN8eECRPg4uKC3NxcZGRkYPv27ZgwYYJqiGFOTg4OHTqE2NhYrF27FiNHjsQDDzwAoGz6/8DAQAwaNAinTp3Cr7/+elPDE4mIiIjo3nZXTe9+9uxZAFBN1Q1AWaw4Pj6+7N0bMQEVJoBwc3ND7969MW3aNMTHxyMuLg5FRUVo3LhxrWcndHFxKXt65eICZ2dn5cvOzg6wc7ypJAsAYmJicOHCBRiNRjzwwAM3lWTdyGw2IykpSRmidzu0adMG/v7+OHHiBOzt7eHu7o7+/fvDy8tLSbQyMjLQqVMntGzZEhqNBt7e3mjVqhXOnz+PgwcP4pdffsGnn36KLVu2ID8/H1lZWfj1119x7tw5bNmyBSkpKao+S0pKcOnSJbRo0QJ//fWXxfnqdDpERUWhffv2SE9Pv23XgoiIiIjuPprKZpyrSkREhBw/fvwWhnNzPD09kZeXhyZNmiA1NVUpT09Px5AhQ3DixAm4uLggPycNsHMB/pNEHT58GJ6enrj//vuxZMkS/P7773j33Xfh4+OjzFxY36ZNm4Y1a9ZAq9XCwcEBjo6ONmu7pKQEGzZsQJs2bTBs2DCbtVudvLw8FBcXAwD8/PyUmRBLSkpw8eJFNGrUCN7e3nB2dlYmL/nqq6+QmZmJBx98EL6+vrh27RreeecdxMbGYu/evTh//jyioqKwdu1afP7553jllVfwP//zP0qfJpMJRUVF0Ov1sLOzg5ubm8XQw8LCQhQVFcHJyYkLFhMRERGRBY1GEyMiETXVu6uGDt44mUI5Pz8/HDt2rNJ958+fh6urKwICAqDVajFw4EDk5uaia9euWLFiBZ555plbGXKVjEYjzp8/j9jYWOzatQt79+69ZX05OTkhPDz8tq4d5eHhoUpkyt/B0ul0VcaxZ88ejBkzBq6urigtLUVaWhoCAgLg7u4OZ2dnPP/885g2bRqaNWuGjz/+GDqdTnW8VquFu7s73N3dq4yrPAYiIiIioptxVw0drIujR4/ik08+walTpwAAPXv2xIQJE6r9MH47FBQUYNOmTTh9+jR27tx5y/vr06eP8r5SQ9WqVSuMGTMG3377LQ4fPoynnnoKjo6OWL16Nby9vaHT6TB48GB4eXnh/PnzKCoqqu+QiYiIiOgedVcNHayLxMREXL9+Hc2aNYOvry8AIDs7G0ePHkVISEiNU5TfCgcOHEBsbCweeOABNGnSBGFhYcrU8dY4efIk/Pz80KRJk2rr5ebmwmQyQafT1bhmWH2Kj4/H2bNnlffhcnNz0bZtW4SGhgIAtmzZggsXLqBr167o2bMn3Nzc4ODgUM9RExEREdHdpLZDB+/5RKshiY+Px/Lly9GnTx+MHj26bo2YjTAU52L8UzPQOigYH3zwQbXVt23bhh07dmDs2LF4+OGH4efnV7d+iYiIiIjuAffkO1p3uilTpuDy5cuIiYnB1q1b69iKQMylOB1/Bq2Dap6evHv37rhw4QL8/Pzg5XVz63wREREREVEZJloNSEREBLp162aTWQ4ju3RD9+7da6xXcUp6W85kSERERER0L2Oi1YCsWLECrq6uNl9MuDoJCQnIycmxmOaciIiIiIjq7p6fdbAhcXd3v61JFgC8+eabOHr0KAIDA29rv0REREREdzMmWg1QZmYmEhMT63Ts6dOn8ccffyA7O7vWx+Tl5UGv19epPyIiIiIissREqwE6ePAgPvvsszodu2jRIowaNQonTpyo9TGtWrWCt7d3nfojIiIiIiJLfEerATGbzTAajQgJCYG/v79q34kTJ+Dg4ACj0Qiz2QyTyYTGjRvDz88Pnp6eSr2oqCh8//33KCkpqVWfX3/9tU3PgYiIiIiImGg1KCaTCdnZ2fjwww9x7NgxHDlyRNm3cuVKeHh4IDs7G0ajEYWFhejZsyeGDBmCzp0712PURERERER0IyZaDUhJSQni4+MhImjbtq1q33PPPQcHBwcYDAbliZaPjw+aNm1aT9ESEREREVFVmGg1IEajEUlJSWjevLnFU6pz585Z1Lezs4Ovr+/tCo+IiIiIiGqJiVYDkpubi23btqFLly4YPny4al/Lli0t6nt7e3ORYSIiIiKiBoiJVgMiIigpKYG9vT3c3NxU+/r27VurNrKyshAeHo7i4mJkZmbCx8fnFkRKRERERETV4fTuDYizszM6dOiAdu3aISAgoE5tGAwGPPnkk9BoNMjKyrJxhEREREREVBsaEal15YiICDl+/PgtDIeIiIiIiKjh0mg0MSISUVM9PtEiIiIiIiKyMaueaGk0mgwAV25dOERERERERA1aKxGpcepvqxItIiIiIiIiqhmHDhIREREREdkYEy0iIiIiIiIbY6JFRERERERkY0y0iIiIiIiIbIyJFhERERERkY0x0SIiIiIiIrIxJlpEREREREQ2xkSLiIiIiIjIxphoERERERER2dj/A5zeI2EVozFnAAAAAElFTkSuQmCC\n",
  240.       "text/plain": [
  241.        "<Figure size 1080x720 with 1 Axes>"
  242.       ]
  243.      },
  244.      "metadata": {},
  245.      "output_type": "display_data"
  246.     }
  247.    ],
  248.    "source": [
  249.     "img = mpimg.imread(\"img/series5.png\")\n",
  250.     "plt.figure(8,figsize=(15,10))\n",
  251.     "plt.xticks([]),plt.yticks([])\n",
  252.     "plt.imshow(img)\n",
  253.     "plt.show()"
  254.    ]
  255.   },
  256.   {
  257.    "cell_type": "code",
  258.    "execution_count": 10,
  259.    "metadata": {},
  260.    "outputs": [
  261.     {
  262.      "data": {
  263.       "image/png": 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\n",
  264.       "text/plain": [
  265.        "<Figure size 1080x720 with 1 Axes>"
  266.       ]
  267.      },
  268.      "metadata": {},
  269.      "output_type": "display_data"
  270.     }
  271.    ],
  272.    "source": [
  273.     "img = mpimg.imread(\"img/series6.png\")\n",
  274.     "plt.figure(8,figsize=(15,10))\n",
  275.     "plt.xticks([]),plt.yticks([])\n",
  276.     "plt.imshow(img)\n",
  277.     "plt.show()"
  278.    ]
  279.   },
  280.   {
  281.    "cell_type": "markdown",
  282.    "metadata": {},
  283.    "source": [
  284.     "#### 1.4 *Modular Arithmetic*"
  285.    ]
  286.   },
  287.   {
  288.    "cell_type": "code",
  289.    "execution_count": 11,
  290.    "metadata": {},
  291.    "outputs": [
  292.     {
  293.      "data": {
  294.       "image/png": 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\n",
  295.       "text/plain": [
  296.        "<Figure size 1080x720 with 1 Axes>"
  297.       ]
  298.      },
  299.      "metadata": {},
  300.      "output_type": "display_data"
  301.     }
  302.    ],
  303.    "source": [
  304.     "img = mpimg.imread(\"img/arithmetic.png\")\n",
  305.     "plt.figure(9,figsize=(15,10))\n",
  306.     "plt.xticks([]),plt.yticks([])\n",
  307.     "plt.imshow(img)\n",
  308.     "plt.show()"
  309.    ]
  310.   }
  311.  ],
  312.  "metadata": {
  313.   "kernelspec": {
  314.    "display_name": "Python 3",
  315.    "language": "python",
  316.    "name": "python3"
  317.   },
  318.   "language_info": {
  319.    "codemirror_mode": {
  320.     "name": "ipython",
  321.     "version": 3
  322.    },
  323.    "file_extension": ".py",
  324.    "mimetype": "text/x-python",
  325.    "name": "python",
  326.    "nbconvert_exporter": "python",
  327.    "pygments_lexer": "ipython3",
  328.    "version": "3.6.7"
  329.   }
  330.  },
  331.  "nbformat": 4,
  332.  "nbformat_minor": 2
  333. }
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