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@rezamarzban
Last active October 28, 2025 06:48
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rlc.ipynb
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{
"nbformat": 4,
"nbformat_minor": 0,
"metadata": {
"colab": {
"provenance": [],
"authorship_tag": "ABX9TyOpP68Yvao1cFPz+TQDsfDs",
"include_colab_link": true
},
"kernelspec": {
"name": "python3",
"display_name": "Python 3"
},
"language_info": {
"name": "python"
}
},
"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "view-in-github",
"colab_type": "text"
},
"source": [
"<a href=\"https://colab.research.google.com/gist/rezamarzban/653e37a85492b621e45fdd86b1fec4ea/rlc.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 246
},
"id": "7dgGbTGwAjma",
"outputId": "78b189c4-7f59-4e06-bf90-35117a6c7e63"
},
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"Damping factor (alpha): 5000.00 s^-1\n",
"Damping ratio (zeta): 0.00158\n",
"Steady-state time (t_ss): 0.92 ms\n"
]
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 1200x600 with 1 Axes>"
],
"image/png": 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i3y8Y3HLLLV79s2fPnhXOMivTs2dPHDt2DGVlZQCAr7/+Gi6XC+PGjfPKd7169dCyZcug51sikUg8SLV2iUQiCYB33nkHrVq1Qk5ODj788EOsXLkSkZGRws/x2MHm5eUFnBc9ngEADRo0UHlwP3jwIFq3bq2LEzc9ufPOO3HttdeiqKgIv//+O958802Vre/+/fvx119/ISUlhXyGx0nWlClT8MUXX2DEiBFo0KABLrvsMowbN67Cu3VlWrZs6fXvuLg41K9fv0KtPj09HQDQunVrr3QRERG46KKLKu57aNiwoWqTIykpCX/99VfFvx977DEsWbIEPXr0QIsWLXDZZZfhhhtuqLAvzsjIQHZ2NubMmYM5c+Zwy1oVfPOZlpaG2NhYr2utWrUC4DYz6NWrl9DzMzIyUFhYqPp2gFsd2+Vy4dixY2jfvj3zGQkJCXjllVfwyiuvID09HUuXLsWrr76Kt99+GwkJCXj++ee5edi/fz9ycnIqbLR9qfwdd+7ciaeeegq///67atMgJycHwIX24NtuwsPDvTYgALejxhtvvBGzZ8+ucMb42WefISoqCtdeey0At38Jz7M91KtXr+L/r7/+elx//fXIzc3Fn3/+iXnz5mH+/Pm46qqr/IokcfToUTz99NP4/vvvVTbivu+lEPl+wcDXNMizAeIxH6h83eVyIScnB8nJydi/fz8URVHVk4dgquJLJBJJZcy12pJIJBKL0KNHjwpv7aNHj0a/fv1www03YO/evYiLi/P7OS1atEBYWBi2b98ecF7atGkDANi+fXuVQlNVPjUTgXWC7m9s9kBo2bIlhg4dCgAYOXIkQkNDMW3aNAwePLiiXlwuF4YNG4ZHH32UfIZHkExNTcXWrVvxyy+/YNGiRVi0aBHmzp2LW265BR999FHQygCA6SNAUZSK/2/bti327t2LH3/8EYsXL8ZXX32Fd999F08//TRmzJhR4dzupptuwq233ko+75JLLuHmIzIy0svpV2UKCwsBIKAQgUbSpEkT3Hbbbbj66qtx0UUX4bPPPtMUzl0uF1JTU71Oryvj2ejJzs7GwIEDER8fj2effRbNmzdHVFQUNm/ejMcee0zlcNBfbrnlFvzrX//Ct99+i+uvvx7z58/HyJEjK4TM//3vfyrtlsptxUN8fDyGDRuGYcOGITw8HB999BH+/PNPDBw4kPnu8vJyDBs2DFlZWXjsscfQpk0bxMbG4sSJE5gwYYJfZfL3+wULVn/S6mculwsOhwOLFi0i04qM6RKJRFIVpHAukUgkVcTjSXnw4MF4++23VXG8ecTExODSSy/F77//jmPHjqlOePyhX79+SEpKwueff44nnniiSk7hfGnevDn+/PNPlJaWMk+PPE7YfL2R+54Ss9BDPf7JJ5/Ef/7zHzz11FNYvHgxAHfe8/PzK4R4HhEREbjqqqtw1VVXweVyYcqUKXj//ffxf//3f2jRokVFuv3792Pw4MEV/87Pz8epU6dwxRVXALjglGzv3r1eJ6MlJSU4fPiwX3mhiI2Nxfjx4zF+/HiUlJTgmmuuwQsvvIDHH38cKSkpqFWrFsrLywN+fpMmTbB3717ynue6p2weTp48iYKCAq/T83379gEAmjZtyn0fVecpKSmIiYkh87Fnzx6EhIQE1D+SkpLQvHlzr3CErDbXvHlzLFmyBH379uVuVi1fvhxnz57F119/jQEDBlRcP3z4sFc6zzfbv38/Lr300orrpaWlOHz4MDp27OiV/uKLL0bnzp3x2WefoWHDhjh69CjeeuutivvDhw/3y/yiMt26dcNHH32EU6dOAWCXffv27di3bx8++ugj3HLLLRXXqfdV9fuZjebNm0NRFDRr1qxi004ikUiMQNqcSyQSiQ4MGjQIPXr0wKxZs1BUVCT022eeeQaKouDmm29Gfn6+6v6mTZu4J7gxMTF47LHHsHv3bjz22GPkSdqnn36K9evXC+ULAMaMGYPMzEy8/fbbqnue9zRp0gShoaEVNtwe/I03HhsbqxLsRUlMTMTkyZPxyy+/YOvWrQCAcePGYe3atfjll19U6bOzsyvsTc+ePet1LyQkpOKk2ddOec6cOSgtLa349+zZs1FWVlbhWX3o0KGIiIjAm2++6VUPH3zwAXJycnDllVcKl803fxEREWjXrh0URUFpaSlCQ0MxZswYfPXVV14CqIeMjAzNd1xxxRVYt26dylY8Ozsbn332GTp16uSlPg24Y2u///77Ff8uKSnB+++/j5SUFHTt2pX7PqrOQ0NDcdlll+G7776rMBMA3J7o58+fj379+lWYcFBs27YNmZmZquvp6enYtWuXl7q8Z0PBNw/jxo1DeXk5nnvuOdVzysrKKtJ7NsAq13FJSYmqzXfr1g0pKSl47733vOKsz5s3j9nmb775Zvz666+YNWsWkpOTK9oW4La/Hzp0qNcf4NZuWLt2Lfm8RYsWAbhgasEqO1UmRVG8Qgp6qOr3MxvXXHMNQkNDMWPGDNX4qSiKqg9KJBJJsJAn5xKJRKITjzzyCK699lrMmzcPd911V8X1jIwMUp22WbNmuPHGG9GnTx+88847mDJlCtq0aYObb74ZLVu2RF5eHpYvX47vv/9eUx33kUcewc6dO/Haa69h2bJlGDt2LOrVq4fTp0/j22+/xfr167FmzRrhMt1yyy34+OOPMXXqVKxfvx79+/dHQUEBlixZgilTpuAf//gHEhIScO211+Ktt96Cw+FA8+bN8eOPP/ptX9q1a1csWbIEr7/+OtLS0tCsWTNuyCwW999/P2bNmoWXXnoJCxYswCOPPILvv/8eI0eOxIQJE9C1a1cUFBRg+/bt+PLLL3HkyBHUqVMHkyZNQlZWFi699FI0bNgQ6enpeOutt9CpUye0bdvW6x0lJSUYMmQIxo0bh7179+Ldd99Fv379MGrUKADu09/HH38cM2bMwOWXX45Ro0ZVpOvevbtfjr18ueyyy1CvXj307dsXdevWxe7du/H222/jyiuvrHAC+NJLL2HZsmXo2bMn7rjjDrRr1w5ZWVnYvHkzlixZgqysLO47pk2bhoULF2LAgAGYPHky2rRpg5MnT2LevHk4deoU5s6dq/pNWloaXn75ZRw5cgStWrXC//73P2zduhVz5szRtNFl1fnzzz+P3377Df369cOUKVMQFhaG999/H8XFxWT898r89ttveOaZZzBq1Cj06tULcXFxOHToED788EMUFxdj+vTpXu8HgPvuuw/Dhw9HaGgorrvuOgwcOBCTJ0/GzJkzsXXrVlx22WUIDw/H/v37sXDhQrzxxhsYO3Ys+vTpg6SkJNx6662477774HA48Mknn6gEu/DwcDz//POYPHkyLr30UowfPx6HDx/G3LlzVTbnHm644QY8+uij+Oabb3D33Xf7Ze9cWFiIPn36oFevXrj88svRqFEjZGdn49tvv8WqVaswevRodO7cGYD7lDgxMRHvvfceatWqhdjYWPTs2RNt2rRB8+bN8fDDD+PEiROIj4/HV199RcYnr+r3MxvNmzfH888/j8cffxxHjhzB6NGjUatWLRw+fBjffPMN7rzzTjz88MNGZ1MikdQEqtc5vEQikVgbT0itDRs2qO6Vl5crzZs3V5o3b14RlssTcor6GzJkiNfvN23apNxwww1KWlqaEh4eriQlJSlDhgxRPvroI6+wXDy+/PJL5bLLLlNq166thIWFKfXr11fGjx+vLF++vCINK5QaK1xXYWGh8uSTTyrNmjVTwsPDlXr16iljx471CneVkZGhjBkzRomJiVGSkpKUyZMnKzt27PArlNqePXuUAQMGKNHR0QoAblg1Tyi1f/3rX+T9CRMmKKGhocqBAwcURVGUvLw85fHHH1datGihREREKHXq1FH69OmjvPrqqxUhlzzfLDU1VYmIiFAaN26sTJ48WTl16lTFcz31vmLFCuXOO+9UkpKSlLi4OOXGG29Uzp49q8rH22+/rbRp00YJDw9X6tatq9x9993KuXPnvNKwvvmtt97qFebp/fffVwYMGKAkJycrkZGRSvPmzZVHHnlEycnJ8frdmTNnlHvuuUdp1KhRRT0NGTJEmTNnDvN7Vub48ePKpEmTlAYNGihhYWFK7dq1lZEjRyrr1q1TpfXkfePGjUrv3r2VqKgopUmTJsrbb7/t17t4db5582Zl+PDhSlxcnBITE6MMHjxYWbNmjeYzDx06pDz99NNKr169lNTUVCUsLExJSUlRrrzySuX333/3SltWVqbce++9SkpKiuJwOFRtcs6cOUrXrl2V6OhopVatWkqHDh2URx99VDl58mRFmtWrVyu9evVSoqOjlbS0NOXRRx+tCIfmG1bw3XffVZo1a6ZERkYq3bp1U1auXKkKB1aZK664QgHgV7kVRVFKS0uV//znP8ro0aOVJk2aKJGRkUpMTIzSuXNn5V//+pdXGDdFUZTvvvtOadeunRIWFubVR3ft2qUMHTpUiYuLU+rUqaPccccdFeEeK/djPb6fFoGEUqscSlFR2OO1ZxzKyMjwuv7VV18p/fr1U2JjY5XY2FilTZs2yj333KPs3bvX73xLJBJJVXAoCqH/KJFIJBKJpIJ58+Zh4sSJ2LBhQ4XDuZrMoEGDkJmZSarRS6rO1Vdfje3bt+PAgQNGZ0UikUgk1Yi0OZdIJBKJRCIxCadOncJPP/2Em2++2eisSCQSiaSakTbnEolEIpFIJAZz+PBhrF69Gv/9738RHh6OyZMnG50liUQikVQz8uRcIpFIJBKJxGBWrFiBm2++GYcPH8ZHH32k8o4vkUgkEvtjGZvz8vJyTJ8+HZ9++ilOnz6NtLQ0TJgwAU899ZQuMXIlEolEIpFIJBKJRCIxCsuotb/88suYPXs2PvroI7Rv3x4bN27ExIkTkZCQgPvuu8/o7EkkEolEIpFIJBKJRBIwljk5HzlyJOrWrYsPPvig4tqYMWMQHR2NTz/91MCcSSQSiUQikUgkEolEUjUsc3Lep08fzJkzB/v27UOrVq2wbds2/PHHH3j99deZvykuLkZxcXHFv10uF7KyspCcnCxV4SUSiUQikUgkEolEEnQURUFeXh7S0tIQEsJ2+2YZ4XzatGnIzc1FmzZtEBoaivLycrzwwgu48cYbmb+ZOXMmZsyYUY25lEgkEolEIpFIJBKJRM2xY8fQsGFD5n3LqLUvWLAAjzzyCP71r3+hffv22Lp1Kx544AG8/vrruPXWW8nf+J6c5+TkoHHjxkhPT0d8fHx1ZV2Y9etdGD6c3jd56SUXqOgqSUn0Dkzr1grWrVNXMSs9AJw751JdGzbMgY0baW0DKr1EG5fLhczMTNSpU4e7g1YVsrOBZs1C8MsvLvTo4d9vWG2jTx8FP/1U9bbUs6cD+/b535bmzgWmTnW/48UXXbj7bubrTEt11LXEeGQ91xxkXftBaSkwb577/ydMAMLDjcxNQMh6rhnIeq45GFnXubm5aNKkCbKzs5GQkMBMZ5mT80ceeQTTpk3DddddBwDo0KED0tPTMXPmTKZwHhkZicjISNX1xMREUwvntWq5wIpyFx0NJCb6/6zQULH0AJ0+jNNSRJ8vceNyuVBSUoLExMSgDRAHD7r/+8gjwC+/AFWNzGNEW6pV68L/P/EE0Lo1cM01Yvkwmuqoa4nxyHquOci69oOCAuDRR93/P2UKEBtrbH4CQNZzzUDWc83ByLr2vE/LtNoyLbCwsFD1EUNDQ+FyyVNbiYRFaKj7v3/9BfTta2xe9GLMGODMGaNzIZFIJBKJRCKR6ItlTs6vuuoqvPDCC2jcuDHat2+PLVu24PXXX8dtt91mdNZ0xxqGBhIrUHk/69AhYPhw9wl6IOjVLvXwxVivnuwnEolEIpFIJBJ7YZmT87feegtjx47FlClT0LZtWzz88MOYPHkynnvuOaOzJpFYhl9/BX76yehc6MO11wLl5UbnQiKRSCQSiUQi0QfLnJzXqlULs2bNwqxZs4L6HkVRUFZWhnIDV/0OhwtNmrBtzouK1NebNKGfVb++WHqATl+vHvs3VHqJNi6XC6WlpSgqKgqq3Ytvvd1zDzBkiP/pPaSm6tOW6tcH8vP9Tx8ZSb9jwwbg5EkgJYX9frPgcrlQXl4Oi/jflEgkEolEIpEYgGW8tetBbm4uEhISkJOTQzqEKykpwalTp1BYWGhA7i5QXKzg9Gla9zcpCaB82aWn088KDwfS0vxPD9CC0OnTQCXH95rpJdooigKXy4WQkBBN5xCBUlICnDpF32vQgHbOxmobkZG0QznRtnTypNuJr7/p8/KArCw6fcOGF+zqffOUnAzExbHzVp0oioLy8nLUqlULaWlpiIiIMDpLkiDgcrngdDqRmpoqnQrZHFnXflBQcGEQzs+3rEM4Wc/2R9ZzzcHIutaSQz1Y5uQ82LhcLhw+fBihoaEVi+dgCUxaFBQoKCuj312vHlCnDvUb+lkREUCzZv6nB+j0Lhdw/rz/6SXaeLQ0wsLCgtbWiorYgnDduvRGD6ttREfr05bKytgbPVT6rCxv2/nKNG7sbuOsPNWr58630bhcLhQVFSErKwuHDx9Gy5Yt5QJAIpFIJBKJROKFFM7/pqSkBC6XC40aNUJMTIyheSkrUwDQwlp4OBAV5f+zQkLE0gN0ep4cIfp8iZvqEM55ejFWaUu80LhRUbRw7uHgQaBrV32c0FUFRVEQHh6OyMhIHD16FCUlJYiSHUcikdiZyEjgxx8v/L9EIpFINJHCuQ/yNEsisQ7+GOVs2gR06xb8vPiDHF8kEkmNISwMuPJKo3MhkUgklkKuFCUSie05cUKGXpNIJBKJRCKRmBspnNsAKXRIAsEO7cbfMpw6BeTm2qPMEolEYglKS4F589x/LOcnEolEIvFCCucmpLoEiDlzpuOGGzr5lbayze6RI3sxfHg9FBTkcX/Tq1cvfPXVV1XIocSX0lK3t3MpZLoRsSXfvx/IzAxeXiQSiURSiZISYOJE919JidG5kUgkEksghfMazE03PYx3310q/Lt33nkc48ffi9jYWgCAefPmITExUZXuqaeewrRp0+ByuaqaVcnfHD/uFs7lKXBgUHHUJRKJRCKRSCQSMyCF8xpMTEwcEhOThX5z+vRR/PHHjxg5coJm2hEjRiAvLw+LFi0KMIcSXzwCuRGnwGbcDNArT2VlQHm5Ps+S2If8fLd2xq+/+v+bN96IhRzyJBKJRCKRBIIUzi3OnDlz0KBBmup0+qGH/oFnn71N47feau3Tp0/Aww+Pxquvvor69esjOTkZ99xzD0or2Yr99tsXaNmyI1JTGwAANm1ajokTJyInJwcOhwMOhwPTp08HAISGhuKKK67AggUL9CmsxEuNOz0dyMgwLi9mhSews+5t3Qr89VdQsiMxEd9+6+5D2dn+pT9xwv3fESOAbdv8+81LL9XCyJEh2LXLv/R//gl8951/aSUSiUQikdgbGUpNg6ysLJw7d87rWlxcHOrWrYuSkhIcO3ZM9ZvmzZsDAE6cOIEiHz3a1NRU1KpVCzk5Ocj0OfqMjo5GWlqaUP6uvfZa3Hvvvdi4cRl69BgCAMjJycLatYsxa9bPQs8CgI0bl6Ft2/pYtmwZDhw4gPHjx6NTp07o3/8OAMDWravQrt2FuFSXXNIHs2bNwtNPP429e/cCcH8fDz169MBLL70knA+Jf6SnA9HRQKVPLgmQ8nK3RkLLlkbnRBIsvv3W/d+bb3b7qErWUBzyRL5zuYBOnYDTp4G6df17V/v2/ml29Orl/m96OtC4sX/PlkgkEolEYk+kcK7B4sWL8fnnn3tdGzRoEB566CGcPXsWDzzwgOo3P/zwAwDg3//+d4XA6mHq1KkYPHgw/vjjD7z33nte9zp37oxnn31WKH9JSUkYMWIEfvllfoVwvnTpl0hMrINu3QYLPQsA4uOT8PbbbyM0NBRt2rTBlVdeiaVLl1YI56dOpaNt2wvCeXh4BBISEuBwOFCvXj2vZ+XlAfXrp+HYsWNwuVwyxnOQ2LMH6NgRCA83OifWJyfHbS5Qp47ROZH4w+zZwG+/AV9/7V96j+bJjz8CY8e6f5eUxE7vO2Q1awYUFvqfP4fDf9OLJk3cmwBaTg5XrQLuvBPYuVOdP4lEIpFIJNZGCucaXH755ejZs6fXNc/JcHJyMmbNmsX87YMPPkienANAv3790KZNG6970dHRAeXxhhtuxO2334HHHnsXERGRWLz4Mwwbdl1AwvBFF7VHaGhoxb/r16+P7du3V/y7uPg8IiOjNJ+Tk+M+hXS5ouFyuVBcXBxw+STabNsGdOumnc4MiHhY1xt/BKUjR4CoKCA21ti8SrSZMsX933nzgAkTtNNXrs/ly4FBg/jq6r5D6PnzQGKi/2rxAPDPfwIvv+xuT1rUrg2sWwe0bs1O89xz7g25f/8buO8+uSknkUgkEomdkMK5BrVr10bt2rXJexERERUq7BQNGjRg3ktISEBCQkKV8wcAV111FRRFwR9//IR27bpj69ZVmDr13wE9KyzMe6XncDi87NkTE+sgN/ec789UeMzUd+/OQkxMrBTMJZZizx6gaVN5gm4VJk4EOnQAunblp/PdbPnrL+CSS9j+BqjNmZwc4PnngWnTgDA/ZtB33nE7lnvnHW0BPTvbfaL/009sFXfPhsHDD7vTP/00X0A/dw646CJg7VrAZz9YYnLKy9317e8m4XffATExwLBh/qV/5x3gjTeAffv8S79zJ3DxxYDTCaSkaKdXIiKx4OovMHQokBIZ6dc7jhxx9xN/ni+RSCR2RCrF2YCoqCgMHnwNFi/+DL/++jmaNGmNNm26BOVdrVt3xuHD3p6OIiIiUO7j6tqzmDh4cAdateosdNIkqR7M6H092IiU+cgR6XCvulm+HNixI7DfdusGfPYZPw2lTLR9O/DCC2Lv+r//A776yv/0H30E3HKLf2l37HBvMmRlaad9/nlg8mR+mq1b3UL8ZZcBBw/6lwdJcNiyRSx9WJhbU8JfRo921/P+/f6lv+8+d9qXX3abVGixcKH7v9dd5xbQtSgsCcMN31yLDs9eixNn/DsLatbMbeLhL6+/DvTv73/6oiLgf//zPz0A5OXVPBUqp9OtKeQvBw+6xxp/OXEC4Cieqjh/HrjmGv/anYcxY/w3eQKAWbNi8dhj/tf1H38A48b5//yCAmDSJPd//WX2bODwYf/Tr10LbNrkf3qnE1ixwv/0iuI2JRPhzz/FzMH27QMId15MnE5g40axPJkdKZzbhMsvvxGrV/+E77//EJdffmPQ3tOr13Bs377WSxhv2rQp8vPzsXTpUmRmZqKwUi/cunUVeva8DAcOiA1IEkkwEFVTT08PTj4kNIMHu0/Az2kr55DcdBPwwQfs+6z6f+op8XeVlYml9/d0EnD7PfD35HDuXLfqPAvPhsSxY0C7dv5tODkcwNSp/r2/ppKdDWzZ4r9NwfffA126AMuWib3nmWcAH/c0mrRq5V86T3+YNg3473+1w0l60v/+O3DFFdr91JP+zBm3JpI/GwCAWxCLj/cv7UMPuYWk11/3b/P1uefcmwurV/uXPjcXaNWqrlAd9O4NPPGE/+k//pjfh31ZvtytXVBc7F/6jAx3XSxe7P876tZ1b/T4S4sWQOfO/gthEycCDz7oFtz8qYcVK4BvvnFrFvm7af71124Bfe1a/9K//HItvPqqA1984V/62293b1jNnetf254/3z0/3Xmnu135w5Qp7jnx9Gn/0vfp496oPnXKv/RDhrjNu/w9QPv4Y3e7+O03/w87evVyb0r42/9bt3Zrjvkb3rZvX6B7d//SWgUpnNuE7t0vRXx8baSn78Xw4TcE7T19+oxAaGgY1q9fUulaH9x1110YP348UlJS8MorrwAAnM4T+OuvNbjqqokAgN27/e+cEhpR4bIm2kzXRI0Au8GwJPKLSZPYccn1dKAm2s78XWh4YI2VVJ9+5x33wk+LkhLgb7cnmvz73+7n+sPKlW5VfCuzZQuwebP/6ceOdeCKK5L9rlfPSdCllwL/+Y9Y3u6+W1yodzjcmzw8KveHyZO1T+krt71Nm9yOSLnpy8swFgsxFguhlJWhkjsbTfLy3Hnyd83w0EPADz9o90vPhkK/fsCHH2o/NyfH/d977gnBu+/6l5d164CZM7U1eTzcequ7r73/vn/p33jDLQTff79/Qp6n7Y0YASxd6t87APemx4gR/qcH/POtAbjHIsAtuPlzuu1pq6tWAQMHujUg/KVPH/+FVQAYPx44dMj/PN12m7tP+7u5NX++e5OhUpRiLgUFQP36/qX14G/gJ8+pfFIS4OO/muTMGfd/L7vM3Q795fPP3RsBIvhjNgYABw6IPdcKSOHcJoSEhGDRopPYsEFBw4YX+fWbO++cjvnzt1b8e/r0eXj11W+90syaNQvLly+v+HdYWBgmTHgC8+e/7pVu9uzZyMzMhKIomD59OhwO4H//exMjR05A3boNK9Jt3ix+4iSRmI0zZ2Rc9GDjcPi/ePFl+HD2M40i2BuTNzIUpqgy+2n+i3/+k73RUZmBA4GRI90bsP6webN7E8VfFMVtGiCywXHLLcAvv/ifvksXtznB2bP+pfcsZCMiQrBnj3b6yvVw551uQVKESy91qwKL0KeP2zzHnzwBwIwZF5ws+pP+2DG+CrqjpBgLMQ4LMQ6RcB/zjh/vf1+YM8e/E30P//iHWw2YR+UyTJoEvPkmP33lDYV77vGvP3i46SZg/Xr/0991l/uUV2uDwVOG9993C4ZaAnrlTZihQ8XMKxYvBl57zf/0gPvU/eRJ/9OPHQv8fabjF7t3AxyXTiSCUYrRvLmYevhdd2lrS1Rue7/95h5zRAjkcEbLPKryM9u0cW9++Jv+wQfh94YV4Nb4uPtu/9MD7jHMs5FTk5DCuUSYa66ZjM6dB6CgII+bLikpFXfdpd6Kl8K5xOocO+aeMI4flyf1PFasELNb9GXKFPcJml7oKZyL1rtewrkeZSgpAe64w7/Nj+HD/bfzbNfOv3S33upW75w/37/vsnix2xv/88/7v2HzySfA5ZeLLbAB/51AVq6Htm3dp6X+pgeAUaO0f+NLw4ZifjD273ebirDsN6m2NHu22IL76FExlewvvnDbGvtbj5MnAy+95P+64Z57gMcf9z8/998P/Pwz+76vts3w4f7b9ANAz57+q58DbmFEyya+cp6++sptYsDDt567dPHPp4WHhx92mzL4i9PpVicX2Ux67DG3ejgL3zJkZblP3UVwOMRs1rt1E/Mt8sorbg0O3vsrs2OH+zuJMG6cmLA6ZsyF024K3/Y9YADfd4BvGUQ3rN57zz02+8vatW4fL1VZR1gRKZzbmHHj2qNHjzjExan/Fi3yU9+KICwsDLfd9iRiY2tx091000NITq6rui6FGYlR6N32Tp92T3zSXEPN+fNuW7bJkwPfkPvvf4Hrrw/cBt0XPc1CrD6O/fe//tti1q3rdpznDw4HNE+SPd/1xhvdgqDWyWh+vvu/06e7T51F6NbNvYkmgsOhLQT7Lmp79+aH5aPaUu/e4k4nU1P9rzfAfXLeqZP/eQLcC24R3nmHHgNZfeShh/w3mQDcPiFuu83/9C+9pH0iXpkrrxQzafDXpt9DVJTbttpfrr/erRbPwrfeVq92bxCJkJwsln7IEODHH/0f99atA3r0YLdvqu3ddpvYJsCffwIvvig2Fl9xhdimwdixbOGTKsPrr7u1fCgos6qvv3arh/tbhoUL3f3BX2F1+XK3wM2yWafK0Lkz2wkdlX74cLZPFapct9wCrFnjf5lfecU97os4lbM6Uji3MW+88TO+/HIrtm5V/w0YMMro7EkklqXyBHX8uHuyt7qwpjeexfonn4jbmlXmp5/ci2c9MNLm3Ch4Gwwim0qXXOJenPtD27Z8AbJynu69F3jkEf7zKtfbvHlu1WgRGjUSSw+4F/E8j8HUd+3Uie1EktX2UlMvbD74y6efiqVnnZLquVkl6lNBVCPG4yneX+6/Xyw9Kwwjq8wOh/8bVoD7lJd3Qu/LE0+wHQFSedqzx/+IEJWfI6J+ftVVYurnJ0+y1c9Z31V0rnjySTFP3Zs2uVXQRWCZSbGYMIG+zirzAw+IbSD+619uR5H+sm8f2z8EK08XMaxjWelbtxYzQ+vb122H7i+ffupufzUFKZzbmPr1m6Bx4xZo0UL9p3XqXVVqoiMyu2MVYcQIzpyxp1OSqlB5DFi5smoC9s6dVc8PYKxau17oKVCJany89Zb/afv0YZ8k++bp3/92q7qz8E3/xRdiQoLnGSIqrRs3uk/djx6l77OE7aZN2e9n4a/nZg9GmUiItiVeH7HKfMLLp4gGA8C356dg2eey6oGlLsyrtw0bxPIkouYNBO43xBc9N4b0antGbm6JmCUA7LFPzzJQdc371v76KPEgolVhdaRwbgOsMslJJHYmJ8f+ArqIrZvvJP7zz+LxxD2YcYwzY55EERXyRNOLqFN//DG7fVDpH3vM7Q1bpB7atBGzF3Y63Y6h/M0TD57WhlWECx6iZRDFjGUWzZMZyyDap824KWlUGYzcKDWTDxMPoht00hyQjRTOJRIDOX9eP3taCjsIEFaCFStUUYDcXGurk/z4o9vLN+sk0R+eesqtnmqVBSEPMy5SRTGbcMGKN88SbG+6SSx+/Llzbo/kIujlwNSM2mRGLszN1vYCSW+VMvAwqgx6YpRgK4rcYPAm2Bt6VkYK5xKJgezbF45Dhxx+2xyacYEXbMy4GBAlMxM4fDhMWH3VTKxc6f5vkyb+xVxm1du4cXyvvCLPMhIz5kkUq5zW8NKLeMIG9CuDqP8CM5pU6FkPJBERmIC5mIC5KEGE1y07CIVWEc71FKj0oiZuMNjh5FxP0xZ5cs5GCucSiQnYswcoKjI6F/agOiZe0QnNc/p27JgDOTn656c6qFzmSy91e4ENFF5oF4rqqFPqHWa0ma2JqpR2OHHS0xmhXgRbQFLCwvERJuAjTEAZwjXTiz7faphROLdKPchxrGrpWRjZlqRwzsaE04VET8x40mqHSTYY7Ngh7uSjMvK7WoPsbHdIKKPZt88dxsVffIWLwYPdccxZ8NqjUTa2POygak9h9wWhaFsy48m5HU5gg10Go/qbHVTzeVjl5NyMG3Si2H0slifn+iGFc5tT1UFo7969qFevHgoK+HFPevXqha9E3XhKVBw6JBbaRGJNFiwA7ruPn2b2bPETZhE6dwbGjAGWLvUvPTUpDxokFk6I9ywedjg5t4owz8OoBaGe9WBGR0pWEfJEhXOltAxX4CdcgZ8QijLN9DzMOAbo8fxAMKOJhJHURJtzMwrnZtx0typSOJdwefzxx3HvvfdWhF774Yd5GDw4UZXuqaeewrRp0+CSW2FV5uRJKaD7i5UH97fecscrpSgrc4fd6dCBHTfZl9deA/77X//fX1jo/u/QoW4BXetbsk4KL7nEHoKtXUNB2X0hL1o+M05RZjzJ04XiYvyEkfgJIxEJb+cAZtyQCPYJrBk3VUSxQxn0epYsgzZmnDOsgBTOJUyOHj2KH3/8ERMmTNBMO2LECOTl5WHRokXBz1gNIBDhXA6C1uPRR+ndZk9dZmS44yafPq39rIcfBu64A/j8c/F8DB0KvP02P43dVVqDnSczmhiJYtSCkIcZ21KwscoJrNU26KxSBjuMJXagJvqd0HMdIGFjwqYiEWngc+bMQcOGaaoT64ce+geeffY2zY63cuUPuOWW7ujbNwpDh9bBI49cXXHviy++QMeOHdGgQQMAwKZNy/HssxORn5+D7t0d6N7dgTlzpgMAQkNDccUVV2DBggX+Z14iqSHw+qE/oZrq1/c/pNMNNwA//OBf2srcd59buGchrNJqwkUtj2Dby+lVBjssgIwULqxycm7GerZan6bQcxwTxYynzmZsZ3bF7hoMRjlVteNmVZjRGTAzhYVuL9rVTVqa/2mvvfZa3Hvvvdi4cRl69BgCAMjJycLatYsxa9bP3Mb/xx8/4dFHr8bEiU9ixoyPUVpagtWrf664v2rVKnTr1q3i35dc0gdTp87C++8/jS+/3AsAiImJq7jfo0cPvPTSS/5nXiKR+D2hhYcD588DUVHazxw1Cvj+e2DkSLGJ67//Bc6epR3FaamDhob6/x5RzOgMShI4Ri6mrFKnVjOpsEq0Ax5W0QCS/adqyI3SCxipmi9hI4VzDnv2AF27Vv97V6wAYmL8S5uUlITLLx+BX36ZXyGcL136JRIT66Bbt8Hc33744QsYNuw6TJ48o+Jaq1YdK/4/PT3dSzgPD49AXFwCHA4H6tSpp3peWloajh079vcpvlTKkEj8QWRRGx0NbNgAVOqWTEaNAp59Fpg2zS3Y+8s339DX9fTSasZTNruqqdvh5E9PrHJyrmd6iX9Y5eTcyPqXbU/CwioaQFZACucc2rQBNm2q/vempQHHj/uf/oYbbsSkSXfgscfeRUREJBYv/gzDhl2HEA0Dl337tmL0aLYe6/nz5xHlzzHd30RHR8PlcqG4uBhAtN+/k0hqMqKT108/+SecA8DTTwNbtwJUIIWQEDFBhTecBHsCNkqgkguL4GCVjQ0jscOpsxnzySPYm4xGtXsz1oPckJLohR3bhhTOOcTEAF26VP97c3PF0l911VVQFAV//PET2rXrjq1bV2Hq1H8D4E8GUVF8AbpOnTo4d+6c3/nIyspCbGwsoqOjUVTk988kQUTPQcsqC2qrDdSii1rRcCWsWOaiwrmeJ+eimNEZlFHYYVFrlbGkujBjHVHYXVC1Q9+i4OVTet+W6IVV5lArIIVzGxAVFYXBg6/B4sWf4fjxA2jSpDXatHHvKvA6RosWl2DDhqUYNWoieb9z587YtWuX17Xw8Ai4XLR0sGPHDnTu3DmwQkgkNkZPwdao+KZ6npzLCbtmI4VzbWxxch4egXvgDgNRgohqzpE4drCbF8UqY7cZDxrsUP96Ir+Hfkjh3CZcfvmNmDp1JA4d2okRI27y6zd33PEMpkwZgoYNm+Oyy65DeXkZVq/+Gd26PQYAGD58OCZNmoTy8nIAbm9P9es3RWFhPtavX4pWrToiKioGgNtAftWqVbjsssuCUTyJhMQOk4FoGYwSzo08Oa8O5K6/RMJHWFAND8e7uCdo+QkE0TLIMcAbO2ysyTqtPuS3DgzptcsmdO9+KeLjayM9fS+GD7+h4jpvIO3adRBmzlyIlSu/x403dsLdd1+KnTvXV9wfMWIEwsLCsGTJkoprHTv2wZgxd+GJJ8Zj2LAUfPzxKwCAEydOYM2aNZg4kT6Fl0g8yMHaG9EFoRkXR8G21TQKq+TT7pixzeuJXYVCq5XBjM4C9UCeOgcHO5RBT+T30A95cm4TQkJCsGjRSdV1rc5y6aXX4NJLryHvhYWF4YknnsDrr7+ON94YXnF92rTZmDZttlfaN998ExMmTEDDhg3FMy/RBTkwWhOrqBXyMGOeRLFKGezQXkSxQxn0xIxev8lnlZdjIFYBAFahP1wIYrzFICE3GSVGYbV6q4lmIcFCCucSLpMnT0Z2djYKCvIA1GKmS01NxdSpU/16puyQNRu7n4KJYpRKuJ6OgOTJefU9qyYK53bHDifnZBnOF2E53CFdY5GPQsRWc66qjhXrwXdsN2MZ9BzHzFg+iaQqWEatvWnTpnA4HKq/e+4xlz2TmRg3rj169IhDXJz6b9Giz/x6RlhYGJ588knExrIFcwB46KGHULduXT2yLbE5ciL1xg4LcztQE7+5HQR9M+ZJFKuUwQ4Ckh3KIIpdy2V3rFZvci2jH5Y5Od+wYcPfjsnc7NixA8OGDcO1115rYK7MzRtv/IywsFK0bKm+d+KEFKQlEjNgh8nLrpOyGW01JeZAz/q0Sv+xw2aOKFYrA3VyridyHLuAkZpVVmuXEjEsI5ynpKR4/full15C8+bNMXDgQINyZB5YnbR+/SaIigJatFDfy87W9/1ywJZIAsOohblcWGhjRrV2IzHjOG+HOM1mzJMoVimD3b2126EMEjdmXAfo2X/MOJ+YBcsI55UpKSnBp59+iqlTp8LBqd3i4mIUFxdX/Ds3NxcA4HK54PIxknS5XFAUpeLPvCiMxs76DqLpwSm/Xu9gpbc+Lpd7wNFj0KHqwX3J/+8qmt6NcW1JtMzu/up/eqPKwKOszKWy2XYrCdFWR4qiwOWi3sG2UvId79w4wCoDnZ79DveY6n2tesogll5R2GUuL1eXwf1v/8vsficrT/qU2eUSqzdePVBl4OXJqLYnWg+8POlbBv/T88pAtT0zjgHuoU2kDGz352YcA0T7tKKItT29xgCtccx3/aHnGOBwBL8MeoxjvLZK1QN/7NanDOLzCTu9Gcdi8TlU3zGAvW5RP8P9/ao/PIO/77SkcP7tt98iOzsbEyZM4KabOXMmZsyYobqekZGBoqIir2ulpaVwuVwoKytDWVmZntkVxv36cPJeebkLZWW+Gwvs9ICCsrJy4jorPcjyK0ooWB24tLSMmAwcYDUv9zdmvt7SbNsWjuhoF1q0KEeIhkcHtxAXwbxP1YPLFQIwPN6WlpYh1OeWe0JjtaVylJVRAyOdXlH0aUvu/NNtSbTMVFvi9R93H6cGR9EysIdOKj2vP2RkZMLh8M5TXp4DAG16UlBQAKczn7hTj5knp9OpuuZwsE1bqPT5+bFgOYV0OjNUk+zZs+wy5OfrUwbR9OfP1wIYTqkyMjJQXOxbhjAAdcj0+fl5cDrPe11zT7xpZPry8nI4nZnEHbEylJQkAYj0O/25c+EAksn0OTk5cDqLiTt0nkpLS+F0ZvmdnpWnkpLaYI19VPqcnEgASWT6rKwsOJ3efc69MGeVoRhOZzZxR6wMpaXJYI0bVPq8vCgAiWT6zMyzcDq9x1b3EoXOU1FREZzOHOKOWBkUJRWssVh0DMjIyER4uPc4djazkDEC6DeOiaYvLIwHEMNIn4GSEu8xIDOTN47lw+ks9DtPLpcLTmeG3+ndeVKXoagoAUA0mf7MGSfCfZolbxzLzc2F01lE3GH1nzI4nWf9Tg/oM45lZ0cAqE2mz87OhtNZ4nWNNwaUlJTA6TzndY03drPyVFZWB6x5nUqfmys2jrmXEnQZiov1GQNcrhSw1lf0GBANIIFMf/bsWcTEeI9jvLVMYWEhnM484k5gYwB9T43L5UJOTg4URUGI1kJdZ/LyqPKqsaRw/sEHH2DEiBFIS2N3JAB4/PHHvTyI5+bmolGjRkhJSUF8fLxX2qKiIuTl5SEsLAxhYcZ+Ft7rQ0NDEBbm3Zh4GzEOh0O4PFR63klweLg6va+Q6Pt8KktHjwK1awNxcf7k0rycPx+C7dtD0Lmzoimg86Dqgfe8sLAw1Xfn1UNoaCi3rfmiV1sSTa9VZpFXhISo+08geRJNz6uH5OQ6SE31vhZJr1kAALGxsUhNpReXLFJ9XxBAel6/TElJgY/lEXfMMKoM0dHsTNWpk4LERO9rZ86wnx8XVwupqd6CCm9XPDQ0VJcyhIezy0Cl9y1TZRISElRtj0d4eLguZYiIECtDAr0WBAAkJdVWlYE3J0ZEROpShrAwsTL4LDm8qF07WVWG8+fptAAQFRWF1FTOIOFnnniah1T6WI6zdWoccxQWMNObcQxISUlBko/sdO4cuzHVqhWH1FT/FywhISG6lCEqil9vvsK5b5kqEx8fj9RUTuP0ISIizJBxjDcGJCYmCo4BEap3aJ1oBn8MUI9jpaXs9JGR+owBISFiZeCtA6hxjLeWiYmJQWoqvckkkid/7lXG5XLB4XAgJSWl2oXzqKgov9JZTjhPT0/HkiVL8PXXX2umjYyMRCTRMkJCQlQVEhIS4uUF3lh4arEOIZVpRRFLD/AnbMYvVO/gP4LOU0aG+69xYwgtGM3Kli0OdOwI1UTpQUv9maoH3nd1t12RHAY7vXhb0qPt6ZterzKw69rhCFFtQGj1H96ESiE6AVHp+W1PXQb+K81XBve84HtNLD0ffcqsVQb1NX56I8ogml7PMjgcepWB3af1KAMvvX5lEEsv2n8cEZF4BK8AAEp9tAzMWAbRcYxKzyf4Y4DofGJUGUTTi/Yf/vLKGmUw4xgg2h+qswwi5XO/Wy0LBht/32c54Xzu3LlITU3FlVdeaXRWJEHi6FH3qUGTJkbnpOps2wZcdJF759rwPR+JpBqxmqdzOzhSks453Vix3vy5ZjTCzqDCI/AqHglehgLArs4rPVgtv3og2n/0+kbB/tZ2qEs7lMEILBPnHHCrIsydOxe33nqr4arnVqG6F2rz5s1DIk+P0k8yMoDdu/mqSVbh0CEgPd3oXJiHadNuxty5LxqdDV0pLS3BqFFNsWvXRuHfWmVhzsOuC16r5NOD1fIbLOz+Hcy4AWOHb27XsdhqZaCw6xzjwWr5pbBDGcyCpYTzJUuW4OjRo7jtttuMzoppyMjIwD333I2RIxujT59IDB9eD/feOxzbtq2uSONwOPDtt98al8kAKSgANm8GCiv5W5k+fTo6deok/Cy9Ng384Ycf5mHwYO93nTtHp920aTluuqkL+vSJxNVXt8APP8zTfP5vv32BG27ohH79YnDVVU3wySf/AnBhYPz6668xbNgwpKSkoH79eNx2W2+sXftLFUqkH9u2bcOqVT9j/Pj7gvaO2bPfwahRTdG3bxQmTOiJnTvXa/5myZKFGDu2Dfr2jcJ113XA6tU/e93/+uuvcdlllyE5ORkOhwN79271uh8eHoGbbnoYb731mJ5FsQx2CKFilYVFsBepZgzfo+fzzVjPdhCoyDKUlaMbNqAbNiAElDPR6sdq31WUYLclvcbuYOfJauOYHcYAiuosgx2+lwdLCeeXXXYZFEVBq1atjM6KaRgzZgy2bNmC6dM/wldf7cPrr3+PLl0GITvb7U3TagMUBc8pk1WgvtHhw4fxwANXomvXwfjss624/voH8MILk7iC9LJli/B//3cjxoy5CwsW7MBjj72L+fP/jS++eLsizcqVKzFs2DD8/PPPWLVqE7p2HYypU6/C3r1bglE0Id566y1cdtm1iIkJjte///3vf3jkkamYNOkZfPLJZrRs2RH33jscWVlsL55r1qzBU09dj3/843Z8+ukWDBw4Gg8/PBoHDuyoSFNQUIB+/frh5ZdfZj7n8stvxLZtf2Dnzp1CebbKpGxGIS/Y2GGDoSbWm8QkFBVhA3pgA3ogCpRHcHNhlbFYFKuNYxR2rwc7YPfyVSeWEs4l3mRnZ2PVqlWYOfNldOs2GPXrN0H79j0wceLjGDhwFABg+PCmAICrr74aDocDTZs2rfj9ihXf4aabuqBv3yj84x8X4T//meEVBur1119Hhw4dEBsbi8GDG+Gll6agsNA79MkPP8xD06aNERMTg6uvvhpnz14IsXHy5BH06BGiUvV9551ZaNKkCdM75qZNy3HrrT3Qv38sBg9OxNixfZGeno558+ZhxowZ2LZtW4Xjvnnz5qny2qhRI0yZMgX5+e68Ll++HBMnTkROTk7F76ZPnw4AKC4uxsMPP4wGDRogNjYWPXv2xPLly7nfnfeuTZuW49lnJyI/PwfduzvQvbsDc+ZMJ5/z3nvvIS2tGR588DU0a9YW48b9E5deOhbz5/+b+e5vvvkEgwaNxpgxd6Fhw4vQr9+VmDDhcXz00csVDuZmzZqFRx99FN27d0eLFi1xzz0volGjlli58gfmcz2aBT/++CPGjGmNfv1i8NhjY1FUVIgff/wIo0Y1Re/eSbjvvvtQXn7hBOTdd9/FNde0RN++URg+vC4ee2ws8x3l5eX48ssvMWjQVV7XV69ehJtv7op+/WIQHx+Prl274ujRo8zn8Hj99ddx++13YNSoibjoonZ4/PH3EBUVg++//5D5mzfeeAO9e1+Om29+BM2atcXddz+HNm26YOHCCxseN998M55++mkMHTqU+Zz4+CR07NgXCxYsCCjvlbHaJGe1/FIEe2FulW9ktVNnCjPm0w6bJDWxbZjx1JlHsO2v7SDMm7EMdtgYMsr2P1jPMxJpuK1FATsUCEJDgcpu8XlpQ0KA6GjttLxYJT7ExcUhLi4O3333LcaP74WICLVn+gULNmDAgFTMnTsXl19+OUL/jum0ZcsqPPPMLXj44TfRqVN/nDhxEC++eCcAoFevZ/7OcgjefPNNNGvWDMuXH8L06VPw5puPYtq0dwEAO3b8ieefvx0vvjgTV189GosXL8YzzzxT8e60tKbo0WMofvhhLtq161Zx/ZNP5mLChAmk18KysjI8/PBojB59B1544XOUlpbgyJH1cDgcGD9+PHbs2IHFixdjyZIlANyhgHzzeujQIUyZMgWPPvoo3n33XfTp0wezZs3C008/jb1791Z8OwD45z//iV27dmHBggVIS0vDN998g8svvxzbt29Hy5Ytye/Oe9cll/TB1Kmz8P77T+PLL93vYp0Sr1u3Dj16eAt7vXoNx+uvP0CmB4CSkmJERHiHn4mMjIbTeRzp6elo0aKp6jculwuFhXlISKBjhHooLCzEm2++iRdfXICCgjw8+ug1eOSRqxEXl4hZs35GZuYhPPjgGPTt2xfjx4/Hxo0bcd9992HGjE9wySV9kJubhS1bVjGf/9dffyEnJwft219oC8XFRXjssTEYO3YKZs78Ah06AHv27Kmon6NHj6Jt23bMQTckBHjiiSfwxBNPoKSkBJs2bcLDDz9e6X4IevQYiu3b1zLztXbtWowdO9XrWq9ew7Fixbfc70XRrl0PrFrF/gYUdppQKmPXcpmZmnhybtdFrdWQ9WD881nvsFo9iGJXh3CSmosUzrXgBfW74grgp58u/Ds11dtAujIDBwKVT2SbNgUyM9XpFMXvDh8WFoZ58+bhjjvuwPvvv4fWrbugS5eBuOyy69Cy5SUAgNq13cGHExMTUa9evYrf/uc/M3DrrdMwcuStAICGDS/C5MnP4a23HsX777sF7AceeKAifa9eTXH33c9j5sy7KoTzBQvcJ46PPPIoQkKAVq1aYc2aNVi8eHHF7/7xj0l46aW78OCDryMiIhJ79mzGzp3b8cMP35FlKijIRX5+Dvr1G4mGDZsDALp0aYvGjd334+LiEBYW5lUW37w2bdoUzz//PO666y68++67iIiIQEJCAhwOh9fvjh49irlz5+Lo0aNIS0sDADz88MNYvHgx5s6dixdfpJ2W8d4VHh6BuDj3u+rUqUf+3sPp06fRoUNdr2vJyXVRUJCLoqLzANTxH/v3H47nnnsQ69dPQLdug3Hs2AF89tlrAIBTp06Rwvmnn76K8+fzMXToOG5+SktLMXv2bJw75/7uQ4aMxc8/f4JffjmDmJg4XHxxOwwePBjLli3D+PHjcfToUcTGxqJfv5GIja2F+vWboHXrzsznp6enIzQ0FMnJqSj6W8OxvNytqdGwYXOkpTVD8+YhaN68ecVv0tLSsHTpVpw6RT/zoouARo3cmw6ZmZkoLy9H3bre37R27bo4cmQPM1+nT59GcrL6N2fPnmb+hkVKShpWrqy69z+rTfpWyy+FHWw1jT65MAI7lIHCjOWye1uiMGO5jKwHM9qcG/F8vbHDporRZbDa9+Ih1dotzpgxY3Ds2Em89tr36N37cmzatBw339ylwrEYq7Hu378NH3zwLAYMiKv4e/HFO5CZeQqFf28wLFmyBEOGDEGDBg3QtWstPPPMzcjJOYuiIvf9w4d3o337nl7P7d27t9e/Bw0ajZCQUCxf/g0A4Mcf52HAgMFo2rQpjh49WnH6HxcXh7lzX0RCQm2MHDkB9903HA8+eBU+//wNOJ0MyawSlfNaq1Yt3HzzzTh79mxFWSi2b9+O8vJytGrVyisfK1aswMGDB3V9l15cf/0dGDfun5g6dST69InAbbf1wmWXXQeAjp/4xRfz8Z//zMCLL36B2rX5weNjYmK8BOPateuifv2mXif/devWhdPptt8eNmwYmjRpgtGjL8LTT9+MRYs+q2gbFOfPn0dkZKRXHPCYmDi8/PJXmD37SfTpE4mGDRt6/SYsLAzNmrVAo0b0X/PmLVC7Nl8joDqJjIwWbgd2EKiMnpSDhR3U2uXJeXDQUzXWat+cwg5jgNXy6y92KJcZxzEj5wcz1qkZ82RV5Mm5Fvn57Ht/q4hX4GQ7nYKv4HTkSMBZ8iUqKgo9ew5Dz57DMGnS/+H55ydhzpxncNVVE5i/OX8+H3feOQODB19DPu/IkSMYOXIk7r77brzwwgs4d6421q79A889dztKS0sQFRVDPFVNeHgErrjiFvzww1wMHnwNFi+ej9deewOA+1R069atFWnT091C1jPPzMV1192HNWsW47ff/of3338KS5b8hl69epHv8M1r7dq18ccff+D2229HSUkJYmLovObn5yM0NBSbNm2qUPf3EMfQmNB6F+DfdwGAevXqISvL29vd2bNnEBsbj6go9ak54Pa8f++9L2PKlBdx9uxpJCWlYP36pQCAiy66yCvtggULcM89kzBz5kL07Mm2lfYQHh6ueldYmPqax1dArVq1sHnzZrz//nL8+eeveP/9p/Gf/0zHRx9tQK1aiarn16lTB4WFhSgtLQEQAcCt1v7mm49g6NBxuOaau9CnT4LXb0TU2uvUqYPQ0FCcOXMGzZpdSJOVdQbJyWwthnr16uHsWe960PoNi9zcLKSkpAj9Rk5o5sAOJznBVmu3g62mGctAYfdxwah6sIMQxMMqmyRmzJPZsMM3kifngSGFcy0EbMCDllaQZs3aYfnybwG4J8Dw8HAvJ14A0Lp1F6Sn70WjRi1Uvw8JATZt2gSXy4XXXnsNISEh2LMH+P77L3ze0xY7d/7pdW3dunWq540ePQnXXXcxFi58F+XlZRg1yr0hEBYWhhYtLrw/O7ty/jqjdevOmDjxcdxxR2/Mnz8fvXr1QkREhKosvnkFgC++8M4r9bvOnTujvLwcTqcT/fv3V+Wbwp93hYdHwOXSDhvTq1cvfP31Iq9r69f/hg4dejN+cYHQ0FCkpjYAAPz66+fo0KG3l1D4+eef47bbbsPcuQvQosWVms8LlLCwMPTsORQ9ew7FHXc8g8GDE7Fhw++49FL1po8nBN7Bg7vQpInn/3fg0KGd+OCD1YiLS/ASqgExtfaIiAh07doVy5YtRbNmowG47e03bFiKa6/9J7MMvXv3xoYNS3HDDQ9UXPvzT//qwZeDB3egc2e2ar+/WG2SscqCUBQzqrUHG6tpbVBYrQxmzJModhgD7LDRY4d6oKiJmypWww5lMAtSOLcwZ8+exbXXXosJE25DePgliImphd27N+Ljj1/BwIH/qEjXtGlTLF26FH379kVkZCSSkpIwadLTePDBkahXrzEuvXQsQkJCsH//Nhw8uAMffPA8WrRogdLSUrz11lu46qqr8N13q/H11+95vX/8+PswaVJfvPbaqxg9+h/45ZdfvOzNPTRr1hYXX9wLb7/9GEaNug3R0fSpMACcOHEY33wzBwMGjEJKShrS0/ciPX0/7rzzloqyHD58GFu3bkXDhg1Rq1YtVV5Xr16N997zzmvTpk2Rn5+PpUuXomPHjoiJiUGrVq1w44034pZbbsFrr72Gzp07IyMjA0uXLsUll1yCK69UC7X+vKt+/aYoLMzH+vVL0apVR0RFxSA6Wn2iftddd+Gtt97Bm28+ilGjbsOGDb9jyZIv8O9/X/Bj8Pbbb+Obb77B0qXu0/GsrEx89dWX6Np1EIqLi/DDD3OxdOlCvP/+iorfzJ8/H7feeiveeOMNdO/eE/v3u22no6KiERfnfTJdFX788UccOnQIyckDEB+fhNWrf4aiuNCkSWsyfUpKCrp06YLNm/+oEM4bN26JmJg4zJr1EK677gEkJ8di7969SEhIQO/evSvU2sMYI1Xz5t5uIaZOnYpbb70Vqand0L59D3z++SycP1+Aq66aWJHmlltuQYMGDTBz5kwAwP33348BAwbi009fQ79+V+LXXxdg9+6NeOKJORW/ycrKwtGjR3Hy5EkAQHr6XrhcQHJyPS/fAlu3rsLLLz8n9B3tupjiIRe1gaOnzbno882I1fLrL2YUCoXbXlg4psPtw6YU4eoEBmDX9uLBKr4zeChK1d9jtXq2yvwjijw5Dwxpc25h4uLi0LNnT7zxxr9x550DcN11F+O99/4Po0ffgUceuRAG6rXXXsNvv/2GRo0aVZzq9e49HP/+949Yt+5X3Hprd0yc2Avz5/8b9eo1AQB07NgRr7/+Ol5++WVcfPHF+PHHz3DPPTO93t+hQy88+eR/8Oabb6Bjx4749ddf8dRTT5F5/cc/3OrwV111G7dMUVExSE/fg8ceG4MxY1rhxRfvxI033oPJkycDcNvYX3755Rg8eDBSUlLw+eefq/L62WefVQheHvr06YO77roL48ePR0pKCl555RUAwNy5c3HLLbfgoYceQuvWrTF69Ghs2LABjT0e6Hzw510dO/bBmDF34YknxmPYsBR8/PEr5LOaNWuGWbN+wp9//oYbbuiIzz57DU8++V/07j28Ik1mZqbK/v2nnz7CLbd0w6RJfXHo0E68995ytG/fo+L+nDlzUFZWhnvuuQctWtTHiBHuv1dfvZ/77QGxwS0xMRFff/01pky5FNde2xZff/0enn/+czRv3p75m0mTJuGnnz6r+HdcXALefHMxTpw4hDvv7I927drhoYceQl5env8ZqcT48ePx0kuv4v33n8aNN3bCvn1b8eabi70cvh09ehSnKh3F9+nTB88/Px/ffDMHN9zQEUuXfolXX/0WLVpcXJHm+++/R+fOnSs2bB5//DrcdFNnrw2rv/5ai/z8HIwdyw4npwdGLcx577XrwsJqSOGcfc3MWCW/wsJ5eARmYDpmYDpK/zZlMjN2EWwl1rM5twPye+iHPDm3MJGRkZg5cyaef34mtmxhp7vqqqtw1VVXqa737j3cSxD05cEHH8SDDz4IANizx21+f8UVN3ulGTXqNkyffpuXSf1DDz3kpaIOAE7nCbRo0QHt23fnlik5uS7+9a9vvK4lJV0w2Y+MjMSXX37JzauHm2/2zuvs2bMxe/Zsr2vh4eGYMWMGZsyYwc2X6LumTZuNadO830XRtesgfPYZu/KmT59eEZMdAGrXroMPP6TDgnkGxspx2vPz3XWnxYQJEzBhwgSvwfXOO6fjzjune6XzxJUHgH79+mH58uXY6B3GXvM9zz47E3/9tRaXXOJWG+/YsS9mz/4dANCtG+/X/jFlyj/Rrx9bjZ2KYz906LUYOvRa5m8838fD5s3A36b3FXz++SzcfPMjXM0QCjs4hLMDVhHy7C5si2KVehMVzMxYBjtQE/uPGf1OaM1xvu+xe71ZZRzjYXQZrPa9eMiTc0lQKSzMx4EDO7Bw4dsYN+5eo7MjMZjo6Gi8+OLHyM4mwghamNLSErRo0QHXX/+gdmIbYvSkLHEjT84lRkG2vXIX2mEn2mEnHHBppjcaM+ZJFKuMAXrmyaj5xw7tRWJO5Mm5zTF6gHrllX/i118/x8CBozFqFFulXQ5yNYcePQbh/PngPd+IthQeHoHbb6dNOrSwimBr99N8q9RDsLFDma1WBju0PSq/jqLz2Am3eVAs8lGI4DnCDRZ2qAcznpyLvt9q9SCKHcpshzKYBSmcS4LK9OnzMH36PKOzIbEpdh347VAuWYbgIB3CeWPXBaEZy2A1IY/CjCewwcZqG6uieaLakhnLxcNq+aUweq6xwzf0INXabYAZJ0CJROIfRk9oemDXRa3VkMI5+5qZsVp+KexQBjtg1zFAbqpYEzuUwQikcO6DIluS5G8UBdi/H0FVwZbUNBQoivaEZfdhyIybhlZZ4AV7oV0dp2xm/K5mw4zfyA4Ckp5lsMo4xsOoU2c7aADp+Q4z9hVRjC6D0e/XEymc/014uDsGZ2FhocE54WPGAcqulJYCOTnAzp3A0aNAebnRObI/9m+vhSgpATIzL8T8teuC0A51abUy2LUeeNjBGZTd68jK2KFu7G6OIJrejHVq17HbDmUwAmlz/jehoaFITEyE0+kEAMTExMBh0ChUUqIAoN9dWgoUFXlfKytjP8vlUqfXgkrvGzbKN31oqPe1khJ2+uJiIMyn5fGeX14uXgY9KC298P9Op/vvoouAmJjAnudbBreWBruNUWXmbRAUFanvFxez05eUUHlip6+utuTb7SrXgy9UGXhtL5C2RKXnfScqfWmpC8B5ZGc78f33iSgsDFUnkhiKHRYReixgrfYd7FAGCjtsMJixHqwmtIlih1NnO5TBrphZe8ZO9SGF80rUq1cPACoEdKM4f15BZiYttJWXu2NXV8blAjIZkanCw91/vrDSA8Dhw+prZ86wBb0jR+AV5xxwq4Kz3hEaCkRFeV9TFHb6wkJjTq3Ly9V5yswEEhOB+Hh6B1nkuyoKu56p9ABw9qy6/j1ERak3SYqK2HlSFKji0fPqISJC/XxAvC05nWyB+8gR9bXcXODcOTo91ZbKyth5KiqihXfRMmRmsicCKn1OjoIzZxz4/vtEzJ1bz+ue6IRmxgnI6Ek5WNTEMtihzNWBGTVYjMSu7cZq5Qr2fGKVk3MeZuy7dl0HSAJDCueVcDgcqF+/PlJTU1HKO64LMitXunDXXbTFwWOPARMnel/LzQWuvJJ+VsuWwA8/qK+PGMF+/5496mv/93/Axo10+k2bgFifCCkrVgB33UWn//RToG1b72slJcAVV9DpL78cmDWLnd9gkZMDjBxJ33vhBWDMGPV11ncNCQF27fK+5nK5cMUVbMsSqh4+/BBYuJBOv2oVkJLifW3TJnY9vPIKMGqU97XSUnY9tG8PfPWV+rpoW7r/fmDfPjr9rl3qjZ5584CXXqLTf/yxui0dO8Yu8zXXAC++qL4uWoaxY4GCAv/T/+c/LkybFun3ibmclKsfq2ww2OHESU+sUm88rGLaIvpdXaHh+BceBgCUgjglsABWa0sUVhsD9Hi/1eZQuyJPzgNDCucEoaGhCKWOCKuJ8nIX0tNpoa2wUH1SWFQEpKfTz4qLU6cH2OkBOr3Tyf5NRIT6N+Xl7PSKIpanrCw6fbApLGTnKTdXrAzUCa/Lxa5ngH5+djb7HeHh1DvY6UtK1OlDQ9np69TRpy2dOsX+TVQUrYUh0pZ4ZcjO1qcMR4/yNRh8OX/ehcJCuq6NOrkI9gLfThOllbHiwty3bZpZlVLihvzmERF4FP+q9rwEih3aTbA36KyyMWS1urTDOGa1/JoZ6RBOUmWCvcvJYuhQt2YApQqtB1YbaIyqB7Mhy1D9WC2/FMFeHFXHorYmnpxTWK0MdliYU8gyVD9WWQfoueEmnUKaA6PHMTt8Qw9SOJcEheoYSJcuBQ4cAJo1A2bPrl67dKsMAlbJpwcpSNgHqwm2FFZbfBm9ONIDO9he1kTIenC50ARH0ARH4ADHE6hJsEP/obDDvGqHMohihzJIAkMK5ybEaoOQGXZqp0xxq9ez7OIDwWoLQjPUQzDeYbX+oAdmrIfqepZRWKUMwc6nVb6DBzsIVFYpg/CceP48jqAZjqAZonE+aPmSXMAqbYmHPDm3Jka3PTt8Qw9SOJcEBSMGUpcL6N4dGD266s8CrCecU1gln4Fih/IZPaHpgR3KQGG103+7qrXboQwS82OHccyuNuc8rFZHFHZoexL9kMK5xbBrZ9VzMvjuu6rlxYMdhHNRjC6XVU7/7YAZF1lGEuzFkV7PsrvmSU1Ua7fKwtyMp5eiiI57ZiyDKGYcA4Ldloyut5q4ljF6DLDa9+IhhXNJlQm2CpJRHa4mnpqZETO2DT2xQ73ZoQx6YHSZg70gNLp8FFaZT+yOVb6rnm3DjBucdhBsKay2MWSHby5KTSxzsJDCuQmpiQ28OsqQnw98+63/6eUCr/qpibvNFHYoAw+7Lmp5mHGDzoztzK7ChShmLIM8dTYHwe7TVjs5N2Md6YEdyiVPzgNDCueSKmOVDnH//cDVVwMDBri9vLvM7zxWCKtMynpixh1zUayWXwo71AOFqLmNHcpsRvRcyFtlY8iM2F1Asus4ZgestkFntfzqgR3KYBakcG4xrNL4zaiClJHh/u+qVe746EOGAHv2sNPbYSFitZM/iRurCRcUVukjHqyWXwo9FoRGf4eauKilsFq5zNiWaiLBNjOsDuwwBgR7LLZKmeXJeWBI4VxSZaxyYhvi09qXLwfatnWfqFOYUUDSc7A2eiClsEMZRLFrGeyA3ReJRtnYBvu7mrEeeFgtv34TFoZ3MAXvYArKEGZ0bjSRY7F+z9AbM+bJDsjvak7MP1pKNDFj5zLjTq2vcO7hzTeBN95QXzejcC6K1dqGRBszfj+5qNXvGUa/3+jTGjuc/OmB1cpA5dcVHol/4p3qz4yOWK0eKKy2lrHDJr0dyiCK0WWw2vfiIU/OTYidGpi/GCmcs7BaPdj1dMkOC3M7lKEmYrV6sINqpCiyDObAKmXgCaNWKQMPuwqFwdYa1BszfkOJdZAn55IqY5WTjtBQsfR2sNc246Rl5vdbAaucdFitLvUog9XKTGF0GYJdD0aXz1+sdtpJobgU1EEmACATdQBYJOOVsNo6wCrtm4cdtJhEqYlzqNXKV51I4dxi2LUxW+3k3IyLI7sKEnYtlwc7TMoSc2D3vkJhh/5jVH719DlAPctxvhAZSAUAxCIfhYj161lGYYe2RGH3MhjlO4NHTRRUjS6D0e/XE6nWbgOMbpBWOXESFc55mHFhQWHGetATq+XXX6w2ictFbWDpqwMz5kkUM2piBRurlcGu9WA17HDqbPT7zYIdvoMdymAEUjiXVDtWmcTlyXn1Y5WNnmCfOEmqH6u0PT3fb8ax2Ix5ktQMgt32jJqb7N5/zFhmeXKujd7raDt8Qw9SODchVmtgdtippTBjnkSxmnBBIU/NvLHKxpAd6sEO2L0e7ND2amIZrFI+q+RTT4wus1X6Q7DnYjOWWRQ7lMEIpHBuMazS0PUUqMxoj2dGAUkUM7YlM+Yp2FhlIcLD6B1zPZAn54E9Q2/0mB+MLkNNxA71IMcxa2LGMltlnasnRpfB6PfriRTObYAdGqQZy2DGPPEw4wSlB3ZYmFtNNVIPrJJPHnYoAw+rlE/PTRIzesy2yjhWE7H7Bl2wnqH3+/UUbI0un79YJZ887FAGI5DCuaTKBPukw4xhyETzZIcddr3KIAdrb+ywMLdafilq4qLWjAR7oW2172EV7Nr29CyDVdYBdsAo+37ePTucnJv5sMQq39AfZCg1E2KnBuYvViuznGSDg1RpdWPGzSpR7F4PeqQ3Gqv0HzuMAXYoAw8yv2FhmIdbAQBlPstNq4xjohhdb1ZpS3o6STVj+fTAruWSaGOpk/MTJ07gpptuQnJyMqKjo9GhQwds3LjR6GzVeOxqq2l0nvTA7gtCO2CHb26HtmSVMoguas1YBh52nU+MeIbRuMIjMRHzMBHzUIJIo7OjSU1se1YZM8yYJz3HYjOWTxSj25IdvqEHy5ycnzt3Dn379sXgwYOxaNEipKSkYP/+/UhKSjI6a9WK0Y1fD0TzWx077C4XEBrqfc1qp5dWawf+UhM3GKxWBqvlVw+oMcBq38EO/ccq+bVKPgPFruWzQ7msJhQGe4NB+p0wB3YvX1WwjHD+8ssvo1GjRpg7d27FtWbNmhmYI4kHO5wSmHFwp9BzF9+Mk4HR7zcCu5bZaraaZuwPotihDBR2H8fMWAYK4ZNCl4IYFAIAChEDwIS72pWw61rGiGfojRnzJIrVyqAoYnOv0eOY1b4vD8sI599//z2GDx+Oa6+9FitWrECDBg0wZcoU3HHHHczfFBcXo7i4uOLfubm5AACXywWXyxX0PAeKwmlhiuKCb9bd/2ZZKChwuajnsS0a6G/jAGtidX9P72vl5ex3lJeLpVcUfcqgKOwylJW5EOLzOH6e1GXg50ldBnce9SsD9V15bYOqNzO2JV6ejGpLWmWg3st7vjXKwH6HaNsTb0vBHwNE64FOz+vTwa830XoQ7T/VUQ96jGPV13/Y6X0XtaJtiVdmo8YAl0us/6CwAAWIBwDEIh+FiK24pV8ZgjsG0Hn0PMuYOVTP/iOavjranhHjWCDrMdEymHFdrFUG33WxnusAvccAcgxiPMP97uqXA/19p2WE80OHDmH27NmYOnUqnnjiCWzYsAH33XcfIiIicOutt5K/mTlzJmbMmKG6npGRgaKiomBnOWDOnQsHkEzey88vgNNZ4HUtMzMEQCqZvqysDE7nWeJOPeb7nU6n6lpJSW0AEWT6zMxMhIR4N7jc3EgAtMlBdnY2nM4Sn2eEAkgh05eUFMHpzCHuiJWhqCgBQDSZ/swZJyJ9TOJ4ecrLy4PTeb5KeXJ30jS/0wNAUVE8gBgy/dmzZxEfX+517dy5CAC1yfS5ueoy5OQ4ANQl05eWlsLpzCLuiNVDaWkdsIaejIwMFBR4D9b5+bEAapHpc3Jy4HQWe107ezYMQB0yfVHReTiducQdsTIoSipYExqVPj8/Bvh7kerL2bNZcDrLfK6xy1BYWACnM5+4I1YGVj2z0vPqIStLrAwFBXqVQSz9+fO1gEoCQmUyM88iKcm7/+TksMcxagzIy1MA1CfTl5eXw+nMJO7oOxZHRvqOxVEAEsn0ubm5cDq950LefKLfGMAuQ0ZGBgoLvceAnBx2GagxgD+fFMPpzCbuiJWhrCwZQDiZ/swZJ8J8hri8vGgACWT6c+fE5kSjxrGCgjgAcWT6rKxzcDpLva6dPVtMpnU/y5gxQGsOdTq9x4DsbN56LB9OZ6HXtdJSdp5cLheczgzijn5rGaoMouMYbwwoKameMcBXaOP1n9xcah3AGwNK4HSe87oWyHqsvJy/ljl/3rsMvLE4J4caA9j1UFyszzjmcqUACFUn/ju9r3Cel8dey5w7px4DeOPY+fOFcDrziDuBjQEZGZkAtIVfl8uFnJwcKIqCEN8CBpm8PKq8aiwjnLtcLnTr1g0vvvgiAKBz587YsWMH3nvvPaZw/vjjj2Pq1KkV/87NzUWjRo2QkpKC+Hi6cZmBxET2Tm1sbCxSU+nFJUVYWBhSU+nOzYJKHxHBPiVITq4D35/UotfwAICEhERV+oICOi0AREZGITVVzJkMVYaoKHYZ6tRJRbTPXJdFzT9/Ex9fC6mpnEL64HCo86S1gyZahtq1k1XfNTGR/fxatdRlCKfXmn/fC9elLYWF8eohBXE+a79YTnNPSEhQlbk2vRcBAIiKikZqahQ7AQFVBgdH14tKHxfH7tO1a9dWleHUKXZ+YmJikZpKLy5F8iSa3rdeKpOUpC4Drx7c41j1lyE6mjeOqfsPb5qg+o+vYFyZ0NBQ043FtWrFIzXVu5DnqT3Hv9FrDAgP548Bvnnml0E9BmRns9OHh0cGfRxLTU1VCee8/pOYqJ4TeWs4o8ax2Fh2+sTEJFUZTtdmT+xGjQGic2hCAnvsrlUrDqmp3hVbUsJIDCAkJMSQMvDGsbg49TjGW5pERFTPGJDiI8/x+g81BvD6T0REhC7rsdBQfhl8vztvHIuPV48BvLE4MlKfcSwkhF2GlJRUlS8mXhmoMeAsdTb4N9HRMUhNpTeZWPDKXKeOev6jcGs2OZCSklLtwnlUlH/jtmWE8/r166Ndu3Ze19q2bYuvvvqK+ZvIyEhE+h6Hwj1AVneFiOBwsAcJhyNEtZPFtwlxcDsfBfVteLYc7u/pe00sPa8MDoc+ZeC/QyxPoaHq9HyCXwbx7ypWb3qVQSt9VctQHW1JNL2efdq4MvDTB7cM5hsDRMtsVP/hPcKo+UQrfTDnk5AQvcrAnhRFx1bxtmeVMYD9TquMY7yTOKPmUD3HJdH+ZocxwCpl4I8Z5luPGbW2v/A8/9fl7ndXvyzo7/vMK6H60LdvX+zdu9fr2r59+9CkSRODciTxYIfwI9SmqdF5MgKjy2y0QxGzYLUyWy2/dsUO/UePEERmLLMZ86QnVimfnvG1g/WM6ny/GfuPHcKQ2WEcs9o63k5YRjh/8MEHsW7dOrz44os4cOAA5s+fjzlz5uCee+4xOms1Aj29JRs1CPHeYQfh3CoTmh3akp7IejAHdthkFMUq9WbGcUxPrFIPosgyVD92bUs8amKZrYL01h4YlhHOu3fvjm+++Qaff/45Lr74Yjz33HOYNWsWbrzxRqOzpjtWa2B2WNSKCudmjHOuB9VRZqu1DSMwerNKYk3sUKd2Pb00Ok96EOxTZ6Oxw1pGFKPaqnBYPpt/VzOWOdht367raD2wjM05AIwcORIjR440OhuGYsYOLIpVymDGPPGwwyLCDhOaKFYpgx3qQc8FoVXKbIdTZ7vXgx7pjYbKr8sRioUYCwAoZ3iEthtGb6xapZ3p+V4zjgFGv98syJPzwLCUcC4xjmA3eqNPqe3UqStj13JJrI1Vdsz1XOhaZRwzesywwyaJVQQkHopS9TarREZhHBbqk6FqwIxtSRS7lsEOyHFM4i+WUWuXmBe7Lqb0zJMZF+ZmrAcKPduSVcpnxnzysGsZjEyvF3Y4ZbMDdv/WdhgDKGS9mQMzzut6mnmYsR6CXQa9y2f099ITKZybEDs1MH8xusxGDyrBwmplsMPJnx7IMpgDqy3M7dp/7D6OyY0bc2CH/mNGIU8UO9QDhRnzJDEnUji3GGYcePXIkx3KYDQ1cUIzY35FsUoZ7O4MisJq2jOiiJbPKA0gq2liUVhtTtQDR2EBFDigwIEYFBidnYCwWj3Y4cSWwmrrADvUgx3KYFWkcC7xCyPDLplxQWgVzDihBfu9dq83vZCh1LyxigpfsL0cW63ejCLY/cdoamK7sevGkNWoiQcNEjdV+UZ2+r5SOJf4hd0nKKuotQc7T0bXm1XqQU/M2JYkNQMztgE7CEg1cZPEjPVQE7HKHCo3t7TTG10uO4zFVkUK55Jqx4wd2K4LJzNOysHGDuWyWhnM2KdFCfZCxIwaQFarIwo7jN1WMS+wO3YQRuQmvXmxSj6tip2+rxTOTUhNXGzwMMpW04zflYfV8kthxsVOsKmJZbYrRi8ga+LC3N9n6E2whTaj60EUu45jdqg3o8clIzC6XPLkXDu9v8+oiUjh3GKYseHKQUgbM24wmLEeRLFDGfTA6DLboR5q4mlNTSyDGR3zmRHqu9rdKaQdBIlgr8eM2vgyOk96YJV88jBzGcycN1GkcC7xC7svaOw6GeiJGTcY7IBRu812t/kzAqO/g1VOzvUcW43+5hR2UI+msEPdiGK1MlulLQUbo8ts10Mr0fRW6z9mIczoDEisgd1VWewgnFtlMgj2wtyMdSMKrwxW2SSxWj0Eu3xm3OC0Sp1aJZ92QpexOCQUP+EKAEA5QnXIlRiKItbv7LAOEMWMc6gd+nuw25JVNBiqs27M2A4CRQrnNsBqDdKM+TV6UAkWNbEMViuzHTYkjH5/sNCz7ZlxMWUVjP6uolhtUUuhR9t3RURhJH7SJ0MBICqc6/VOIzH6/cHC7usACjuUQZSaWGYKqdZuQuy+EDEjdtgxt4qQJ9WptamOthfsb2e1urFK/9ETM5ahJtaDxBzYoe3JtYw5CHY9WCX6hzw5DwwpnEuqHaM7MIUdJgMKM+bT7iYSotihzGZcWOiB0d9VFDOOrXqgZxnMqJpvxnqj3i/qEM6MZTDiGVbDjGU2Y56CPY+ZscyS6kEK55KgoOegYpUdQqOxmkDnL1arBwozChfB1mCwSt14sMqpmZH1ZpWx2Oi2Z/T7jYAqc8j5AuQjFvmIRQwKTJGnYKc3uu7lWiawZ+iNXevBzIcrZvyGgSJtzm2A0Q0y2LvTZjzpEEU68ao+rFYGO0ziwcYqJ+08qqPeamLbsEqZ9RyLjdokCeQZsSis+oN0RPTbWW0OtYq2QLDrwQ7UxDJL3MiTcxNi9w5pRhVYOwhIVltEUNihHiiCfXJu9GLKjCcXotjhxJbCamUwY55EscNYTGEHm1kj05sRM5ZBnpxXH3rOD/LkXD+kcG4xzNj4jO6Q/qKncGHGgdSI9GbEamWwysLCiGdIxJD9nX3NaKxWN8EWkKyiSWKHerNaGUSxWn79xa7lkmgjhXNJtWPGAceMCwtR7DAB27Ue9Kyb6hBGjGhLRtelXRe1ZswTD7uOAaLp7VAuM6JnW6qJ2gLVgVX6Aw+7jmNGr014mPEbBooUziVVxugOqQd2mNAo7FouHlYrg1XqyMyTshGYscxSKNROr5eAZHebWTu0JSPeb0YBzIx50hM7tD0zlsEIamKZKaRwbgOs1pjNOAiZMU+i2GHXn8IOqvx2Pzm36jur8/1mbGdmRPb3wJ5hNGbML5WnYJu3Gf0dpBaTebFaGazWH6z2fXlIb+0mxA67nHrm06jFlJkHISPQq3xGqhVWB4qiXgBarS3J/uDGDmXWswxWOfmzWj2YET2+q+IIwXIMBAC4/DgLsto3MiNW6dN6YsYxINgbdFbZZAz2O+2KFM4lVcYOHdKMA6Me1MRFrR0EfB5WqTce1OlVME7/RbQ9rPYNKexQBgq7lsuDGfu0HuNoeUQ0BmO5LvkJhGCvTYyqNyO1fOxQPqOwQ7nMvL6yw/f1INXaJUHB6MFdD8w4KfMI9vvNGGva6G9OEexT55qoSWKHE1urlMFozLz48xczzg96EGytp2Bs0AUzvRmxa5lr4jhmdLnkyblxSOHcBhjdmI1+vx7oosLHSW9Ge22rTAY18eTcamUI9qQcSP+x68JC1GZWFKPbEoXVxjE9MLoMRpw6mxEztj097ebNSE0cx4wi2I4tzVhmKyCFc0m1Y9SJU7B3/Y3GjHkKNmacxIPdvs14cu7vM6oTI1U/zYTVBCS7ChdWqwdRqDKEnC+AEylwIgUxKAjoGXrnKdjvN+MmPQ+r9Dcz9h89N0pF60GG5TPf+/VE2pybEDMOQjysMrjzMJsar17YvQx6pK8O9CyDXdVBja43uSGh3zOqEzmOBQe95sQUZPqdXm+M/oa+WGVj1WjsoBJOYcY8iVITNRmNQJ6cS6odq+wQGi0giWL0+/XAiBMnqwm2RtWznv3BDgtzu/Y3HlYZi43GKn3abBj9HWriOsAqqvlWwyr1wEOOY8YhhXMbYMaFi57vlbvNgWPGthFszFguqwnsRnxDo+st2GOAGccxo8Y9O2ycWK1PUxgZ89uMdVQTsco3MuM4JooZ8ySKmcc9O3xfD1I4l1QZM55eUhi5EKkOrFIPogS7HowWbK2yqJULc+3nm7H/WA0ztiVRgj0GmdF2WQ/sMBYb3R7NOCeKYvT79UCenEuqghTOTYieCxGreAk3GjtMyhRmrAez5al6BEX9OqJVTjutNrEb/X49CLZga8ZvZMY8UVjtW9thk7EmYrV25i9Wa0t23eC2w7rYCkjhXFJl7ND5rHLSEezBmvcMq2z0WK09WmVSNjJ9INTEUzM9kGWofqyS32Bv9MiT8+CgZ57MOHYH6xlaBDsMmRkx89rADt/Xg/TWbgOMXsiLvteMwoge7zXjwGC1UzM7nJzbQa2QItiLVDOW2WrY4ZtbZX4Idqxpo+tGFwHJEYIN6AYAcBlwFkSVwUiTAKuEvzJasLXKGMDDKvXAw2pjlp2QwrlEAuvsmAfbw6kZB1c7TBB2P3Ey2/MDeYdVxgAedhAKRTFjPdgBPfqDKzIaPbBBl+frhZEb1mZURbYrZiyzGfMkipn7iB2+rwep1m5z7LBTK8P3BAejVPP1xIz1EOxNEjMu8GqiUGgUevZDM35zO4zFdtjoEcWMZTBiw9roMotih3ozOr8UZtx0F8UO9WBVpHBuQqy2EKHQM592EEbMuMFgRowQ8sx4WlMTF/J6pq+Od1ilnVmtbehBTSxzIBg5zpixrZqxT4tixjzpgR3KVRPLYIcyG4EUzm2A0cK8HTpfsIVCM9aDGdUK9XiW0e3R6PfrgR1Ozo3QYLBa3ZuxDPLkXDu9GaHy6zhfiMNoisNoimgUmiJPwX6G0fVm1/4jmt7ocskyVM879X6/WZA255KgYLWFiB0mNAqr5JNHsMtg9IaEGRfyVluQ+osd+jQPO5RBlJpYZr3Q04cJKZxDQVOkV/y/VnqrjWOi6a1iGmb0OGnGPOmBVfLJw65rA7MhT85tjhltzs1IsHc5zVgPVtkkEU1vtTKY7fl6vdcOGwxGl0EPrFYGM2phiFIT25Ie6c2I1cpslbYUbIwus1xTVs877YoUzi2GVRqu1RYicjFlXswo7OoZ39SMwojZJmW9FiJG9ge93h3s006rYYcymBEjTp2rYxyT/ccbo9Yydq+HYJ/+W0WDoTo1HszYDgJFCucmJNgnVBL/sNp3NePiKNgYVQYjT5HNOCn7+4xgPMuod1ilr9i1XB6sMo7ZoR7sMI5ZKX0gmLHd6IEZv3WwT6/tWpc8amKZKSwjnE+fPh0Oh8Prr02bNkZnSwJ7nDrboQwUZswTD6t8Vx5GnPQbveizijqbHRbfer7f6PxS1MQxwIzlMyJPdvgORpfBDmsZq31zCjNuVokiT86Nw1IO4dq3b48lS5ZU/DsszFLZNwQzOiARxYwnhaLp7WAfZFRbsppKuOg7jJ7Q9HiHXctgZHqJf5hRuKCwe3uxyhhgtEaP1TGqzPJbS2oSlpJuw8LCUK9ePaOzIfHBDgOIGSdxRam6QGykKnIg2LUtBfsZZqwbu5fBjEKhXU/NjB6XRDFj2xdFl7YEB3aiXcX/B/LOqmDXsVj0/TWx/xhdLrvWQ7APGsz4HYzAMmrtALB//36kpaXhoosuwo033oijR49y0xcXFyM3N9frDwBcLpep//76azuzTCtWrCR/w+L48RMoLCz0SltSUsL9bvn5+arnHz9+jJl+2bJlQnkqL1enPXIknZl+/fo/UVJS4pX+/Pnz3DIcOnRI9Y70dPY7qDytWbOGmX7duj9V6cvL2WUuKjqP8vJyr/R5eXncMlDfdPPmTcz0mzZtFqqH9es3EG3vL2b6EyeOq9JnZWVxy+B0Oon8sEdfKv+7du1mpl+1apUq/Y4dO5npN2xQl/n06TPcMlB5Ki4uZqbfsmUL8Rt2mZcvX6FKv23bNk5+FKJ/HueWgerTvHo4evSYKv2GDRuY6desWSuUfvXq1UJtFVCXmVcHALBv337VbzxzAMXateuI/raZnSNFnf/9+/cz0587l4XS0lKBMgNHjhxRpT906CAzfVZWlir9li3sMojWQ1mZOv85OTncMpw8eVL1m2PH2HP3+vXrhb4rVQ87duxgpt+9e7dg2wMyMzOFxg3q+X/+uZ6ZfuVK9bzOm0+ob3TixAluGXJycnyeX47z59mxx3fs2Kl6h8JZOVNl3rBzDy7GTlyMnTiPGK/01Bx6+PBhbhlE1zJUnnhz3B9/qPsDr8yrVv2hSn/wILt/OhyKah1QWMiP/37w4EGhPB06dFhoHFuzZo0q/e7de5jpDx8+rCqDVv+h6iE9/QgzPbU2KSgoYKanxrFdu3ZxcqSeTzIzM7llEF3LUOuA9evZY8CZM2dU6bduZa8D/vrrL+FxjErPG7+3b1e/g1cGqi3t2cNuS4qirodjx9iyBsBay7ih1vGsP+rd1fXnD5Y5Oe/ZsyfmzZuH1q1b49SpU5gxYwb69++PHTt2oFatWuRvZs6ciRkzZqiuZ2RkoKioKNhZDhj3JNuRvJeVlQWn0+l1bdeuswDak+nj4mKRmZmJiIiIimtuwbYZ8/2//fYbevfu7XWNJwwfOnQYTmdbr2t5eTEA4sn0ubm5cDq9v797o6UJmb6w8DyOHz+OmJgLk3t2djYAts+Bffv2eaUHgJSUFGb6rKxzcDpLva4dP85e7Jw9q66Hn39eC+Bq5m9Onz6N0NDQin+7hfMEZvqNGzehSZNGXtd4wkV6+lE4nWk+19h13bJlC1UZDh48BOASMn1eXi6cTu8hw11vPZh52r9/v2owKi+vA9bQk5mZiago7/TuuqY5ffqMqgzHjh0Hqz+4y+CdXmun9vjx4179x/0bdr3t3bsPLVvW97q2cSP7O4WHR6jylJvL3rj544/VcDpbeF07cOAggIbM3xw5cgR16tTxuqYodZnpqTydPcveiDl+/IQqvXvDoDuZnuo/ubkOAOw8+abPz88H0IJODODAgQNIS/OeGzZs2AlgCJn+6NGjcDqbel2rXbs28/k7duyC0+n9TQ8dOgygNZm+rKwcJ0+eRGRkZMU198L8IuY7ysrKVOXmLeaXLFmKLl36e107cyaDmT4jI0P1/KysMAB1yPTl5S44nWe9rrnnq67Md+zfvx8hId7nADyh0D2fNPa6VrcuW2MuL68ATqf3wv3o0WMALibTFxQUqMrs3rjtyXzH8ePHUVZW5nUtPDycmX7JkqW4/PIOXtcyM9n1cOLESVWejh4tAtCUTN++fTtV+n379gNowHzHoUOHUL/+hXHJvTil106AWyi8+OJkr2uFhbUAxJLpc3Pz4HR6rxPcC+0uZPpz59RjwP79B8Bbmxw5csSrT7qF1PrM9AcOHITD4V1GnjBy9OgxOJ3Nva5t2MBuGwkJCaoynDp1GkBzMn1WVhbS03O81ibnzp0D0JZMD7jnk9hY729eXJwAIJpMn5iozhNvIykzM1OV/siRI2Ctr4qLi1VrGTfsPur7fMB9YMHi8OHDcDq91z6rVm0FcDmZnppPwsLY/fPEieNwOr3vuzeGUpm/odYyeXmxAOg+FB+vroeMDPYGgHte7+N1zT0u0bJAQUE++V1F66G8nP2dDhw4BKfT+5tkZp5lpKbHsZQU9jd1jxnec4F7DGhE/wDqtUxpaWlFerd8VMb45QU8mxKKoqjmpmCjdSjnwTLC+YgRIyr+/5JLLkHPnj3RpEkTfPHFF7j99tvJ3zz++OOYOnVqxb9zc3PRqFEjpKSkID6eFhzNQHQ0PegCbtX+1FTvxl5aepqZPjExAQ0bipU1KSlJ9Y6QEPauZUxMjCr9oUN/AehEpi8tLVOlT0tjL9ZCQkKQkpLiNUHxFkYA0LZtW9U7IiPZUtiGDRtxxRXDvK5FRbHrITw8XPX8hAS2wBYdHeW1MAKgEpZ8iYiIUL0jNHQfM31sbKwq/c6di8Ba7MTHJyI11fubDBw4kPl8h8Ohej5vNxsAkpOTVb8pLCwAa0LLyclFly7ewkpEBHuTJDIyUvV8302ZynTq1AmpqUle1zjdDYB7IPd9B8A+tU1ISCDKzN497tmzJ3wf37s3e0ID1PWQmMg//a9Tp47Xb0pKSv4+dYok06ekpCDZe12OVq1agnXoFB0drcpTdDS7HlJT66rSFxezF80ulwuxsbFeYwBvnASAxET1OBYaupeZ/pprxiA11Vv1thF7jYCjR48iNbWd1zXevOJwAKmpqV7CeUYGW2ADgIsuUgvu7dun4gyjuqkxoPL7fKHGmFOndoEtnKvHbi2oMSA0lL1A6dKliyp9XBz7+WvXrsOzz3pvuPgKM5UJCQlRPV/r9P+SS9QblsnJDpBrY9BjRng4ux6ioqJU6fftWwqWcO6uZ+/+xZuvAPUY4BZs2QJSQkKiKk9ZWSfBEs5Pnz6D1FTvzTLeGBAWpm57SUlJjNRuWrRoIeRryOnMQN++3oJyaCj7dJ4ax/Lz2ZpY7dtfrJpDeWO3w+FQrWW0ykOtx3bu3ATWxmdMTBxSU72f2bw5vVngfr+6HuLi2Js2tWrVQt26db2EGreAxCYnJwctW7b0uhYSwu5zsbFxqjxFRLD7z5VXXqmaQ5s3Z9fDuXPnkJrqvXnHO/gA6HEsP/80WGuZpk2bqvI0ZMgQrFxJP59ey/DGsVBVei3tmbi4ONX6KCwsDywltPj4eKIeIujEALp27UqsTdj52bx5E1JTvdecSUlseQag1zIeateurfrmFC6Xq6IvVrdwHhUV5Vc6S6m1VyYxMRGtWrXCgQMHmGkiIyMRHx/v9Qe4J2cz//Eav8PhIH/DIjc3D8XFxX6nZ30fHoMGDVKld59q0SxatEiVnlqEViq1cJ6aNGmiSr9x40Zm+vLyclX6du3o01dWnhwOXp7U6bVU8hwOqsxsu73ExCQiT+z027ZtU6VPTOQvjkTroXXr1qr0PIH+wIEDqvRdurBP5UTroXbtZFV69ymbWJnVpwaV04cK1dvZs2dV6Xlqiw6HeD3UqlVLKP3q1WtU6Zs2FeujvDL36NFDlX7PHvbGE+CeUCun5wlggHj/oeqNZwojPi7R4z2P06dPC/1GtMw9e/ZWpectUo8fP6FKr+UHRrTMLVq0VKVfteoPTpnV9dC4Ma2F5U4vnifqHTyzCroe2NSrV18oTxs3blKljY9nbw4D4mUeMGAA0R+OMNOnpx9RpR/Wtxd2oD12oD2i4bsBLzqHugWDyum1hEKqzCxNS4CuN94ceuaMU7AMgaxlmqrSl5ayTweXL1+hSt+qVStOmcXylJbWAGFhYV5ptczbqDVogwZsLQ86P+x6oOrt1KlTnByJ10N4eLhQ+r1796nS8zYYRPN0ySWXqNLy1t2A+2TZ9ze8QyXR+aRp02ZCYzdVZq3NX943ovLL+mO1++r48wfLCuf5+fk4ePCg6jTSDviqlFfm8stHMO9RnDuXrVKDDESlPy6OvRCmVA4Vhef8RX3PV2VQK70W/qqO8GjalK1eR99j57OwsEBVRrc6mxhdunRm3uvWrZvqGk9lm1JT3rePLyD5ojXQ8BY2/sIrg78DnQe3up43gfQHrd1jEVauVE9eK1euYqan+hZP7RegTxIdDp79qPre2bNsdTZRysrKq/wMrRMn3qKDgvIxcfjwEaFndO/ONvFITk7mnmJTnD6tPkU4coR98kf1Fd5pJHVP3BmTvh58zhBqATyfDdTrmzRhC+cNGrDNP1hQttBaWg++8DYZe/ZUq03zPiu1gUKruAYO7ayJPZ5T90IcIWiPXWiPXXD42OdGRPC13yh8N3bLy/njCFWG9u1pcweArzlGQdlyb9rE9gtDoXWSpocT5Oxs9im1qFOu8vIyXfp8bCxbHaZePbF1/apV6vlSdOxu1oy93gP42gcUlB+Ybdu2Cj2Dt+GmpTlmBNTJPW8DjRoz6tdPI1JewMxaz3piGeH84YcfxooVK3DkyBGsWbMGV199NUJDQ3H99dcbnTXdERVGRMdJLYcElEDFW/zv3Ml2vuMvO3eynXdcfHEH1QTGU10GwHVCQUENEidPnmSmb9aMd4qoD1S98iY0ngMhf+GpRVHv5i2CAWg691Cjrofdu9ltY8SIK1TXkpPZ5gKU48HA1hnsHyUlqe2U+ZtVoqifxfOnAIA85RPNE8+RUps2apvJnj17MdNXDol5IT9C2dHcVGnVSm37zRPoz53LFstAAJuGesCzOafMfSiVbA88Z4v+ouWMkNKK4vXRjRvFhBuqHrKy2BufPBvIYMLbJKHbslj70nJs6buYdzgc3PlEVMik2LJlC/Ne3779Vddq1eIvvEU3UmnBkz3QaL3fv3eKDWRaaxmejS+Nut3wnEK2b6/WEGzXrh2R0s3Bg4c0N0X8gbfZe8kltJ01C60TY3/Q4yChMlQzyMhgl5lqB1260P4aAHAdg4rA03qg5nDemo/nwM5ftEwl/VULtzqWEc6PHz+O66+/Hq1bt8a4ceOQnJyMdevWaS5KrQjPG+LatWtV13iTPu90jEX//upJs6yMvfu1c2fVF3g8EhISVGrEoidQWlAD6ZYtW5npqQmza1f1yXVVoHbMDxxgey1etmyZ6hrfDlE9GfHWFY14BrgMtDzR+kNBAd8zvy+tW9MOuQKFmrR5DhL37lXbNbdowXZcRi/C2QuFDh3UwhbvZMR9P5t73xfRUzNKkyTYO9xaKq2UNk7v3n2IlIFBbVhu387eqMzOzlaZsvA0MALh0kvVzu54KrD6bVaxoRZTWrbFvojmaedOtp1wdrZacA9kbOPRurXamZbb0RHN4sW/qK7xTGcCgefckCI/n79I9gfRcYc/TopDrRPWrfuTmZ4SLpo1Y5+YUmMir63Gx8erhDAt8zae93c6T9Q19thNaZKIah0FwtmzbOdo1Lph4MBBzPSi9UCNP7zDGMDtUNGXyEje+C0m7A8YMEh1jVcGnnM5MdgviYxUj90XXcTrD6LvVn8j3jgJqNdelTfc7RSGzTLC+YIFC3Dy5EkUFxfj+PHjWLBggbCaiVXg7Q5Tu1y8hYVeJ3bp6fywdb60bMm2caK8aPI61ZEjR1QTmFYYJVF69VKbEvDyRIW64jnvCARq44lnR0Xld/Dgwbrlx+VS75aLn4zz1bFEnU1R6t/nz/NOV8QmcYDVv9j9irJTFlXT4+WJUlHXCivpS3h4eEBqpSxOn1a3y927eZt26u/Hs8dzOBzCanybNqlPi8TjzLLruVOnTqprvM0oSh20OhbBq1evFkrPU+8MDxf3IUstegsKqn7S5YEau3lQZgF6n8ZQY4boHDpggJiKtdY45rtZpSgK12M2Re3aycx79euzbYgpqIMGPcxdKtOpE9sMjIKaz/TcuAkNDVVt9mqZ4FH12qEDWzVfFErzhRfaNhAaN26snagSPLMuPaA2JLS0MqjNYJ4GEIWo8EgduPDQOqzUcqTsCxWOjqeVRMGTQXr3ZmvXsfDtL6KmjVbBnqWyOKJqUbxBJSYmWvh0hhcTk4LKLm+QGD9+vNDzjx8/qRoYtVRfKDp2ZE/UCQmJxFUx+zq+MKL+SFonI1qnof7Aa0rUBgovPWWPzvcVQMOzo6IXU+x6yM1VfyNeLHgKPWz6KkN9Q8qO1gO1O83DHa5L+508HA4H13ER3wmfms2bt6quiW7cUMKuB4eD7yjTX0RVdXmbRYWFYoINNWZoqYeKnnZSi1rRtsHbSArEnIfyraHlrMkXyp+GB8ojuGiZA7HXDglhj9+8MJw0YpvobdvynJXS+I5BiqJw2x/1DSmNgAt5olSh2eWitI+oTW8eWsKG6IYblZ6nVk6ZBfDaXkFBfgA+TtT55XlT79dPrfnIgzIpPHWKf4rsi5bvp0TSZbdYJ928mW0iQUGZl3koLtYnlLKisE0JGzYU29RZsmQpcVVsXNCKACTqo+vMGfW4uHWrWD3wfPCEhVFzuliZK69B5cm5xFTs3ct24lWnTorKO6nWIlcP+52TJ8VOePW236Qm7fBwdrmpCYrf0dX55dn8xcTEqIRxrVNivqdo//K0bNnvzNSUt1SeB1W94An0ohoRtDobuy2lpqrjaGudXmqFJ/EHdwximuHD1bFbefbaWral/lBWVobycrZaOCXw8MIiUfCdR/l37cI9l6b6pxr1+3kCNWXnSAscblauXKG6Jro40HKy17RpU9W1tDS2wxw9zEj0diwmShwRN42nlbRrF1uF3V+0QqlRJ39paeyFLnXiJNo21q5dx7xXty41jiWKvSAAeH1QdN0gqooMqDUctIRzPezmd+xgm6r07dtPdY1nr11SUqKLvTbPKSSlgSR6YqqvjxR3LHWx96uv8aJIdO6s3tRv25YdO37/fvZ8LII7pj0N5SHfN5xcZcTnNzV6OELWgtc2qDGIdxijh78qLR9aVkUK5zanvLxc1XhF4oT6A7VwoexzPPzwww+qa7wJLRCoUzieLQulcsgbVEQ3GBwOfkgWxq8E06spKmIP+JQnaJ45QiBQp9I8geT339VqXFpeVH3hLfAoe3QtR2Ci2gGigieFqE8Fref7bgy5XC7uIpGym+d5Ihe3rxugusZzHqUoiuqkTXTBqUVamnpjiudbQO8FLAV1ysaz1xZtZw0bqsduXnhSalzXO2IKdfJHtUcPp06pN6tEtVG0EJ0zxT3eq6/xNlqok3m97eapjSleOFJqM6FlqzY4giY4giZQVGOEeP/xNenRGpspfwuim+6i8DcxxZ9PPY8nFP71l1r7oE+fvrrlqXnzFqr5RGtDjzJt4TnfE+0/KSnqzSotnyR6wPPpRGk+Nmokpt7P+w7UJu2xY3znnJT5G+9wQrQeKJ8uvIMJKmKQ3r42rIoUzk0I5fDpwr0OQs86ceKEyk5d70GrRw91GBjegJ+To94B5XVIvRbBPCGMGoR4zqMoR2u8gay4uFglDPFVO2l4YYBEbS8pT8283elA0MOmNiFBzHkUD2rBy1M5Z8GzUW3YUCxUE+UMihe9gOpbWjazWupuvjidYmGiRDckKOGppERsXNIqs+jCgtJU+fNP9uklRfPmbIdWtWrFCQt5lGOzc+f4MYXVsMdPalOU990oYUjvzV4KvrZI1dXgtd+vFoZEx2+exsOIEWrtGV49UCd/xcXiJ2+8/WJqzBAVbFObNkczHEEzHMF5aH93Ubt5rdNG6nmdOrE9gVPOrnh5WrpUrYpMhevkoWUzS3lT5+F0qk+p9VT3pWK/B2LexusPolCbhn/+yXasTKE1R4rO69RGlh5abx4C2YyjTGZDQ4M7fouat7Vrx2/vvE15qdYuCSq8kxHRnTeKQIRzKhyOBz3U4Ck7Wg9166aqFoBaC0Ladk2/ky56Q4JNWVmpamDU8i1A3ebZfPI9s1Oov4eoGiClXlkZUW+9FE4ne0Lr3JkdaoSCCtMU2IDObkuitpfU6aioGmCLFmx1ORaiauc8x2KUZ/bGjdkhV6jTHVG01EN5NuwUtGmL2JjBsxGPiIjU5VRAy6uwL717szftqI1SUbTaanKy2okYz/nfb7+pw+yJwteeYdtNs6B8nOhpr03bXorB0y6gcDgcXA2do0fFnX36wjMJ4h1CsNBjPuFpVbRpI9Y2KAd2/P6gbhhakQv0sJv/80+2h3rq/XXqsH0GnThxPCBh3BfeOnTYsMuEnsU7nfUXregilCNWHlQ98KJIUHNNjx5sbTXK304gaxmec04qCguv/yxatEgoT4EcvIlG+rAqUjg3IenpR5j3aK/M+qpX0hMU+x2LFi1WXRMdJHi2Ms2aNVctIrQGUj3sU3/55Vdmaqp8PGEkEKiTQZ5t5I4d21XX9FCv9NCqlVoA1IrRKn4qra6H48fZwgjlvIpnr60XpaVs23hK+8DX74MWvHqoW1dcjVgPO2JeSC5Ky4SyufNAOZoR9aSu5RSSigrRpo2+5jO+8NRNz58/r8uilge1WUV9Bw+Ux2zRMYOn+g/Qpi08783Uol20bfCEEQraYVXgUM/Ly2MvgtetU2toiC5qterN96TS4XBw28bhw0eIq2JC4Z497A0DaiPr4ovFNAO1oPJ04AA7NBnl/E00CguvHqKjo4XNcXihdf2FF8GkSxe1lgkvEpKoI0wWvDjdlAlgq1ZiGye8eqCer7VRKbphzngz806vXuoDH56Wz+7de3TID9/PDxXTXFRDUxRKo7Myvoda0lu7pNo4fJjtCGz7drUAJqrqrgXlqOzkSTGnWKKLHb6H00KV3byoR3v3b9gDI6WR4HKx37FmjXpR26RJU2Z6YXNz0Kehf/31FzP9mTNqVWTezqsolPoT5Ym5Ojl8WK1xwfNCHghU5AHeqRkVR5d3SiS6e0wJNrz42oDaaUpISAjCwnimJNRVsXzqEW2g4s0Oh/AkTDnK5J1si6rmDxkyTHXt6FH22F1YWKgSzrVC34hCnXjxHFpRdSq6kaSFeGQNsXZGjbu8U7mtW7eqruldD927d1dd27BhAzN9RoZ67L7kEvGTZR6+AomiKCgtrboTKtbzASCstBjr0R3r0R1R8BbqKOFfbz8SbdqonYLxfJ5QmyQ8EwnRsTsqSh09hwqP6/0O9bW6ddkRRkSXRpRDrYKCqjuWrAzl5JEHpZKupaUnQvv26lB0VB+sDNVueJFeROuBMt/TElR94Tk9DgRqs0r8JJzdRyhNUK2DNd96knHOJTUGShWNF/6D6hA8B2+i8Vu3b9+ushUORCjk2ThRkzivo1OLP61J1gh44UQohyy8MlO2Q4HUA+Ux3cOQIUOEnkWFr+MJI9TkoWWDqqUd4B/sDysqCFNaJqKbVWFhYVzTEFF7NkrLhCeMUPXAU/t1OEKEhUZKBVbU/o2HHptA4k4i+Rw8qD6NEh2XeJu9jRqJ2V0C9AYalU8ePHMuymEkfwGpvike3opPeTnlQVjs1JkXQ5ka17WGAN9FrcvFj4BAPY+32Tt48KXqiy4XumMjumMjQuD9TSgNQd6pNoXWhp2Whp0acY0EkfSlpaWqDTotb9PU86goDh5ETZyWLlVHdBE1O9IK+cgzi6Sg1hW88ITV4ZyTqgeemRKllcJrG3v2qE/CRW3UKZ8JlRF13klt+lPaVh6o8vHW3ZQTVlECOaizAlI4twG8sBANGzZU2fxp2T2KLpwoeCqwPKdmwSQ1lb3LSTuLE4tzzju9DA8PVy3EtRyQ7Nihtk8StRPm2SHSKrBsgS0/P/hhOvRwTiLq1E5LENUKs+QPq1ezJ7Q+fdQq4bzF165dVVdnc7lccLnYp/+iJho8LRN/4S+klQAmYXVfoc2C3FDC0KBBg5jpKYc/ootErc0tKkZsXBxbzZbytC6qEs6ry0CcqdHvFQt/w+sPvDjU/sJrFwAtfPDscilHYaLwHIsFov6tR6gmXmx3cSFW3Ve0xm7fOVTLKSQVhYWfJ/U1nq8NyvcM7zQ1Pz9Pl40gnp8fSrNKj7rhoVUP4uY86vfz1qXUqTrPL9CBA+o1cyAyXlYWe+yhIpLwNpiPHBENnSuOVhhlfxB1PNmqlTpCjgfKVEC0HioflAkGuTE1Uji3ATx7IiqEl2iYpkDg2UlRJ5v167N31wLZFaXsXXnOZCgbRT13zClnUFoDpR7xG6lTKw9Ufvv3V4cxqgrUqTNvQqNOW+PjE3XLDxWXlj7luoCodoBou6GEwoYN9Q2L5EtpaSlX9ZfarOrYsZNu76e8mvMW0ori0mWThDeWUKrIvLrMyqq6SUcgzjkpJz0eRMdKajOMUu31kJmZodokET+d5EPZNPIibfz1l6ivDfFVOOWEKCqKPY+Kh1OkhBF2OFJK2KFUdatC7dpqR367d7OjSFBjt2ikDa2xk3IuyIPyqC/aR3iCJdX2+YcPgZzwqn9Dbdx7oPx56Gn6mJqaotJY0IqvzXOERiE6h15yidoDP++goahI3G6eyhM/1Kb6WteuPBMJsfxQ60eejweAVs3nbayI5okKg8lrG1r59ZeYmJO4/vqjEAxsYGqkcG5CePZEtWuLhUTKyDijWtTqrQZyzTVjVNd4r9i2TW03zT9FFp/QqBBehw4dYaanJmzqRJOXnkd5eZnqu2sJG9Q35NkU8Ty5U6xcucKvd1YFSsjkaVVQKri8OOe0YySxuuFpnrDg1YOobTRlV8azi6TQKrOW2qEv1AaaaFxaXp6ok1AqXBUPLaFQtC1Todw2b94s9IyEhETmvYiICOG2QZlt6LFp5+HSS9WqyKIbEoGFS2S/hHoe5WuFB99eW3w+oU4qRTeLeHV/8cViq0rK54neJhKUaRrPj0RurnoR3rEjO2yZHirkWv4MqOc1aMA+CKA9UbO/K9U/tQRVUUQFa0pw55m3iRIfnygsnFO0bs0+UaXgtQ1KG4EfjlQNzws5wJ//KHjq33rQqVNn1TWtCCZUPYk6PORBebTfsEGtYcZDdB1rV6RwbkJ4g1bPnmIhvIqKilWnM1SsZy14DnP0WBTwTqFCQsSff+zYcaH01MAfG8t2YkI5+NKaPHwHzkBC0PFs/iiBh68Gr74n6uVYy9GLqCBBfUNe/OvUVHW7FN0YCmRDgqd+f+mlart5Xj1Qqsiicc553nUBcXU26puImrvwnDtlZIh5aw8EnkdwiiVL1KrIlMBxAcqjMNtDfWxsLeF6oMbqXbvYbYP6hjw7RD2+uZa3dlEnX6KLatqpHXsh3bat2r+IFtTGEa9t0FpJajVXD02aUBuQYvOeqL22w+HgmrgVFbG9OFNQZeYJCzzfIyxE/SfQNrBsO1dqs4rHsWNqO2jKdrhSjlRXtDa3tIRGf+CZSFBzE8+fRl5eri4bhLx1o1asa19WrlyluiYadq9BA779s6i9NuVUb/ly9YHIBdTfo3HjpszU4to5NOXl7PWVqBkTz2Gxv2j5lhHVnrEqUjg3IbzFjtbOmB5QKny8xc7vvy8jrootLHiOmrp06aYSArUmtBMn1OG3RE9Ueapj1PcQjzPOR3TwzcioeqgPnpfWevXUiynKs39lKI/Zouzaxa4H0TAwetnN8+y1RRGdUClHM9HR/LYnaodP9V+qT3mgtEx4wsi2bWKqyNQ9rc0tavHPc7KlBzw1dUVxBd15DbWA5Akja9asUV0TzaKWl2Nqs5nn00A0XCiV30OH2CrhlBqnHvHnq8Lx42KbyRRam+6+EVRCQkK4c5YeIbz++EMtNHmg2gXPvA3QR2uEd/qvj8DDbqshIaEqoVRr84pqy6K+Z3hRJPr166u6xjsEOHPmjC71kJ7OzhMlKOt5+k+h5TdF1Naagjf+N2yoNofg+drYunVLlfMD8DWAKFMvyoTAw8mTlBmJWH544UgB1ljtCCgikpmRwrkJ4U2Kv/zyi+qa3vaplBoVb3EvqoIrqs5G3eM5pmE/j917KYHn5Em2MELZclMDWaUcce7RtGihtsvdtGkTMz1le6mn872kJPWOZSA2s3zE1NSpGJ0pKewNg0D8F1CqWjznSpTKKaWCdgGx/tChg3py5HmyBdQLd4fDoasabGysvuG3/EFro5Ial1q2ZJ9si24otm2rVvvlqcFnZ2er2mtgYcvYjYNyFMYTnvPzRcOc6QPf74lYPURHq4VtytbYAyWoaGmeiEL5tti4kT12b9myVXWNp60WSJxz33HMLSiIRZHgj5/02J2BOsiAelOMipetZ7gsgJ4L9u9nbxhTBw1du6odp15ArK0mJCSo6kFLNZ9yeCgaBpNXbxER6v5THQ6wz59nbyYdPao+rLn4Yp5PBbH+QG0OammGUT4g+IdEYnmi5pOzZ9maIrRGob4SKpVfnumWaLuhtFOdTrVWXWV8NSIiIiJQr159YU05syOFc8uh7nyiMcW1oASuzEze6Yg6TzzHF6Jhmnbt2qmawPjqpvQgwXN8MWjQYOIZ7IFOfIdQfNCkTjVEPb22F/SQwStDbq56h1UrNBU9uLMnNFGVUyoMzJkzYuFHtCYUepHM/hF1oqvlzbaqiKp7RkREICKCLSDx7lFQDn9Wr1afyvLgnWqHhIQIOx6jFlPFxaKektn9VuuUz59naWk8iEKdnu7ZIxYrt1OnTsx7gdiXUxEjnE6xPsprj927q029eH2a2rTRWxih6lXUjElvB2++c2h5eblwDPpmzZoy71E26iXh0UhFBlKRgUJ4C6VUtAM9nCxWhnKeyJvXqfk1JkYsRrdoW9IyC6Ge17mzOoqDB9GY4pQ/B1H1ZK35TVRNnfLDwtdKEnp8gH4y1AS2uUpDHYCJ+trgnbQD4s47qUgFPK0kCp4JIO8UngV1IGNHpHBuQvRUK0xKqi08WFOqjqLwVLWoUwUehYVFKjWqQFSMeKdmeqizrV3L9nJMnVJq1QsVb54HlV+eo5auXXkn/VR+qq56CfBt6EQ3bigOHWJ7qA/EXls0DAxVD/v28cIdqsvMc9JCOWvTW7jo1k29ucZb1FJtVWvR6Qs/Fq5D2JkaxebNbFVA6hvy/H+cPKkus6hmhtY34jlDpFi16g/BPKnv8VSd69atqxrLtNoetajmqVJSz+NpJenR9nlRLQD6pD82lm2PqYftJS8KCx0mit/2RKNOUM/jhSOlzEhEN6x5ttEUWptbopsPVH4pnyAeGjVSn9bx/EpkZ58LyNeMCN26ic3rTqd6/cg3kVDXm5bDUZ7ndH/hra8oeI7FqDWz1jgi6q2dFjzZfVS0fKJjNyDuGJZy3sv356TOEy8CkB7r7pKSEmRmnhV2KGt2pHBuA3gqfHFxcapdTSq8ld7wnKJQE6aox0jtkCvqUzjeb+hTPjFnaryd3djYWNUEpbV7S6k0iS7+eaeX1MJGz5ArAGtCY0/8oo78RDUSWrZUmwpoxVbXwx6UF4uZmsS7dGGrUhYXV92UoLi4mLsDTTtSYjvEEVWzpU6jeP4OFMWly0KbBxXTnOe0avfuqseb1/IFQC2m2rRpU+X38uBFLygpKVbZTeqx8K6MaJxmyiuyaN1rbfZSm4a8hS4VzooHlV+et2fKDEvLoZUoVJ54BwGUKrIe76yM78mf1oYdz2+Mv5w6xTZva9Gipeoa5SzWg6IEEi1HPbbyTlSpx/NNvfy75oE6JdcyMeKFBaQRm9cHD1ZrPvLizZ8+zV4zs1HniWfSSYUipDa99YQnCwC0ZgivD4mah1IbIry2xAvb6S+KoqCsrBSlpVX3CWAmpHBucwoKClQdUu+QK5QKO2+X/vvvv1dd459eitvXUYMEL9YmtfBv0oTttIgikB0/PRH1rEnFmNTbYRZlN887zafqqF07MfVOXj0kJ6tV1EU1FADxcGk8qO8h2pa00tMbcuwfrV+vjlncrJl+drlU1Ale/1QURdVftDcZxfwXUKrTgbQNPaFMNCjB7AJiYzu1McRzLHnkiNpeW1y9n0+bNmrTlg0b2H5YKNtL3sJcL3ghISl4bY9ywsrr01S88cREsZjiWvTq1Ut1jSdkUd7i+3bphGUYhGUYhCiIx5b2xfdUWkvFlfqGfO/nYmOGaDi9QKDaMk+rYsUKtUfw1q3129Br0KChakNO69QyJ0e9Ccnb7KXg9QfKBxGlERDo8wOB0sbhH0KJtb1WrdR1qmUWQtWTno72qPUez4cW5YSPZ9POIhBfQmZHCucmZODAgcx71OkOPy7tWZUalZbdMm2vzVaX0UOI1XtgpCav8nKe8xtK3Vk90Hig1fvYA0RBQb7qZF3LyzH1TSi7Pg90mD12nijHGzwPqoFAn0qLDaQ853+i7YbaMQ8kRitvgSdqR0WFVxE1LeE5jwLEbc2ojSOeOqboDrseY4CWl2NRe25K5f3gQbZKKzVmdOnCtgVNTEzUcISmhvLpQHszZxMXx7aL1Go3RkCFQOKFU6TaGS98XN266rFbq+1RzqJ4Agn1PJ4/jT591B6zeWRlZauuiTtm5aOlUeQPURERGIQVGIQVCIG3aVogTu18N9FFTY4AvmMxUZVwyskfFa6Th5a9tqhTV0rg4ZvPiNaDokvUCZ4QJiowUvXA0wCi0LLXbtVKLC774cNHVNco/xseRP0k8cZ1EURNT0QjBvE04ujwcXzHbixzUOmtXRJ0+CpFVXcgFEg4trQ09ukItXAR3cniqWk1bXqRaqGt9R1EJ0jqm/OcbFGOZvjP12f3QU9PmRQ8e23qm2vZxIqfPKrbDc8edMgQdUxxXti/w4epzQd9R3Wt8HL+vJ/XR6m+RQkclRHX0lC/Y+vWbczU1MKGt0mxciUv3qt/aJ2aiTohou0QxdoGLySXoujjIZ9yzHjhHeprPAdv1AJSFC2nkFTboE6KPfz555+qa6JjG28jKZCTfj1CR9WpI7YRIlpmyklpZXw3hkJDQ8lIFB5EnVFR7NrFjlnft696Q0JrQ00rXJwaMeGCiqGsr0ac+mFavmdET+ep/G7YoNaE8kD5+mjZUq2u7+HgwYO6+GHJzmaf8tKbnOyxUzSmOYWWeY4e66vTp9mOMKn3d+/ODmlHmdsFkkdePXTurI4yw9NK4kUr8Retw0PemGUnpHBuQrZu3cq8t2WLuvHzT8XEF4NUzGJFYS9OqDAwfETDjySqBi4tFW49wsDwnEdRIYh4tmY8FWIWdeqoVcx5dn2rVqljyuqpfk1N4lrCBu1VX+xb5OWxF9qUii8VkkRveCcR1AZHgwb6hTukTgW1nAyJnqqJnoRTtpfUQtdDWZl6PBFdWIhGLgD4ix1xj7+JqmuUqYiHgoJ81YaC1uk/BW8cGzp0KJGe/Sx6Y1UsP+XlfMGVEj54gqoeJh3btrE3kihNGT1DTgK0WRXPd8WPP/6k6/spfLUk3GM3T+ARFQrVz+Jph9EOGPX1p+BwqOe/bdu2MtPv3asOs0bFn670BqH8xMfHq8xxtARdKk/iarzs9FRYMcpeWm948aypb0JrBroR1cSi1sxa8bUprcKICLZAL5onKmIQD56gL4LLxT4IoE7nqbmeh+h4zptDAfW8HxYWhoSEBO56w4pI4dyE8HZKqQ6ppY4jCiXw8E4vqc5HDfg8eB3Y6XSqdqO1vbVTkxF7gurYUX3Kx5sAt29Xe8zmndgGsklSr57aJovnMb2sTD3IDhmiXqx7CEStUJ0fcZtcXlgk0bCAVDge0VMurTLTZhvsH1HefXnOmkQ3kqjwLXwP9WrCw8O5XoVFoWzdRPPE2+hxOBzCauobNqjbBrVY58FrG5TTPt7YXVpaqmqbot5ztVF/wzVr1OFwePCEkZAQ8XGMspsX9eTPg9LQ4NUbZRut92kMtZEpGoKof/8BzHuBjN2+2lvl5eUoKhKrB54qLb04ZrcXPTzaa9G1q/oElponPVB1JBoxgVfm0NAwlXaN1qkvVa+UY1N/3k+RmalWRdZyLCZKWpp6/nM42A122bLlqmuBbGSyaNKkqeqalsPRwkJ1X9HSWKsqa9awnUJSaJkDiB7WUKYBoo5ZeVxyCe9Ai8a3v4SGhiIyMgpxcfY6UZfCuQ3g2eNFREQIe9PVY9KsX5/t7GPs2GuFnnXy5EnViRPlYKQy1ITGC60h6t2dmgBFF19aAyU1CIrumPPKoGXb4wvlhEj79FKdX55qPu9kk4I6EaacmfGgNBQqI6qKTH3zc+eyOc8XG4b1CBkSEhLCfa9ojOVNm9Q2f1rhqXyhHEt6cDhChGPFU6YkPDVbqq3y1K9p0wPRtsKXqETj8VJtX9TXBhXaz0OLFi2FQ6lRp6fHj7M1gKjn8dqjqD8FCp4TPBa8YUHUGRUFz0SiaVOxzW9AfXKvKIqGiZu6gDytJNExg9KIEtXC0xLY9NDC4EVUEBUYCwsLA9L48SU+PpF5j1IJ530H6qCB53uGGjN4Zo+APr4tdu4UG7t5G0lUZB29/R7RkT54odTUgjgvAhCFliNM0TXfyZPqSAX8cKTq8vHGhagoSgNWbA4tKytDYWEh8vL4MoHVkMK5Ddi9ezfzXmpqXdVppNaJGRXCSxSeGi216OANjIGdEqiv8Zx4iZ7yUZw4wQ65EhMTrdok4W1gAOLhR6gy80JVUDFaeZNoIHbz9E/YJ9t6n3r7Qm0MaKnw6XGKQKkmehgxYoTqWseOnZjpT59WO/IT/Q5lZWUoK2NP/JTAw3MQFXwnj2pv7Zq/IN7PM5Fo1YoKi8QOLbhixUqh/FBQThkrQ9l+8k5r9PAeLR4Pm48ejv7i49mbFPSmqNgCT8vsg1rU8jQMqA1uPc2q6tVTC0OxsXzbZT3gzQGUNpu4cMz/ga/dvNZahhI8+ajrgee/pk+ffqprPLXf4uJiYYGL+iRa4XOrimi9aW1ga3kR9+f9PB9AbdqonbXxxm7emlkkTzxNRsp5LxWS0QNlKilaD3zna8GHiqDCO/wQPdCiKCsrQ35+Ptd23opI4dz2qD1r6qkeBNA7hPv3s70cL126VHWtVatWQu/UGrQor6s8myJKOOcJ86IbBmFhYTqFsBNb4NE2326oRbioEy0tqIGZd0r166+/qa6JOnDi1QNl06jlrV38pKPqJ+16LLAq49v2ysrKuKdmVH8Q1WrgQcV75cUkdrlcKrt6/eNrN1VdEw2XxUe8/1O2l7zFjuhijop/zLP5S09PV80nWpuMogwefCnx3iPM9NSmaGgob2kjvtkr6mVfD3gbLZQqMqWqWxUoTTOeYzHq5K9Zs2YoQAwK4F+YT9E451r22pT5hJ7aZxR6aHJUhmp7vIMAaiO4f//+uuWncePGqrGXao+VSU9XR5jghxWjYNdb/fpsszHRZ7Gg2gHlGd8DpQbP76NieaK0PbWi7VDOO3ntVbSvUFEnqPCbHqi1YCCb+jKUmqRa4DlFEQ3ncPz4cdXAKbpzq0W/furdYx5Uh+TZIVMEcnLOUy2m0vfurXaM54EX3ouiuLhItZDQVk9WDzi8hTllA8uDUhPTQ+WuMno4luE/Q2xQpoQtSnVLC56Ktai39j/+UNsEU3axPPixr8XjPmt5fvYPdt3ExqpVDkU9MWvbCYu1Dco2mhfSjloQ8HxtREdHC2+MbtmiPj3lqdnSsL8DL6wUBeUhPzycf3qphwbF8eNifbRHD3WMbg+BbE5TGg5nzrC1Hqgy8xwWDRgw0K9neKA2vwOJwsJDfNNF3c7qNW+DOBQgDgUohHd/DWRB7VvGQMLCtm7NXkOJbgSvW6eOLHD8uLgfFh58R7NqqEMIPTUTw8PDVZu9WpEzKHhjpbjvG/X4sHq12NidmMg2YQLE+wOltaiHV3kP1PfT+m7UZpbW+K1+h1iIVNGIIFp26HpvypsVKZybkLp1KVsVN5SjGdGBTHsgVXc+no0bZfMumideOJ74+ARVh9QSjvn2SRRiE1TnzmpBmJe+uLhEpbIdyGKKF7+XtrESWwBRiw0eWoJoIDHEfeGp2bZpo97I4tXD5s1q2+hAhAeevbboYooStvgxlNV1Sn0HveHZg0ZEqDcreOPYvn2UB2Kx/GiZQLRvL6YFQquvivUfXn+IiIjUZWHBi9hAfcPOnTsx058/X/XNOJ66KUCbkvBMJKioEzxEhbw2bSi7af4zqFNsUTML+r1u6I0mMS2pXbvEVHVDQkK4auGi3qCptsc7UW3RQu3UTGsM0Gpr/jyPd2JLq0Kz64HqP6I+QbR8nugBz0M9pYrM87Vx5swZXUKp8cZvnjNEir179wilp9ByzskzraGgyvzXX+zwhFR6XjhSvZxqFhayHbxRm1U8p6ArVlQ9RKoW1dFfzIAUzk0I7ySPOt3RG2rSDAlhL6Z++OEHwTeoO3dOTjYzdePGTVWemrV2OWnbG7EdP56nTCo95V29KlAbEDzvupRnTR6iwlCLFuqNAcpzeGXETxHUdcR7BmU3z4vrrIf6k6IoKC1lL8yp05zISLancVF7ba22T6Fl2+zP+3mLAUp7huc8KhBtBV+0TpCjotTfvGlTtudlPU54eSYbpaUlwotaUagNiehotjBCqSKLfgct55yUbXbz5mznnHrYTVIaBzz0NiOhBECeMM8Ln6oXvid/ISEh3FMz6nRedPzkmapQ4fSqY5ORF9KO8kmh50ldZGRkANozW1XXRE8veeZtlAkgT0MzPz9f2DcMxd69bPMZatOIF5VIj9BylM13ZShfTDyP86Ibu9SmPm9DYPdu9YZEIHMYb15v3lwtC/TqxdYoFT2oo+qNZxJL4dlkFI3mYnakcG5C9u1jC1mUkxjK8YSHQIQRKuyT6G6wqD0RL59lZaXCzshEw1NRtpdFRWwNg5071YuO5s3Zp9qB0LZtW9W1bdvYO6+UahfPKQoF7zNTNvh6OKCqCpSQp7eJBLVTyxOyqJM/fj2I9VEqJjM1UVfGV0sjNDSU6w1aNM45lV5UTZ1XDw6Hg5tfCspbPC++tii9evVWXeM5uCksLFQJaHqfAlAbhFRoPx6iXvG14I2jekCZbFD2nh6oE2ZRdWYtevVSq9WvX7+emZ4au/X2w+IrZLpcLq5TSHHU40NYWTF+xJX4EVciEt6bltSagtpQqwqUcJGRwd6opFShefG1RTXuoqNjVP1LSxuAEnh4J9t6oLfpo2i9bt26TXWNCscWKG3bqjeBtBy/UlEnRM3FeHMo5YxX1GGa6ByphbgJlRiUqYDWusF33IiIiEB8fALq1hUzJzQ7Uji3AXrbYFDqbKKxDXm2jJQzKB67d+9VqUdreZSnJkjehCaqAkups/E8QQeCHid5dDgPN6IT5smT6hNsasKqDFUGnkAi6r+A8sbL29yiJkctZ09a2gG+6OG5nJe+pEQt7IgussPDw7l26jyVdIrVq/9QXfvzT7aJBLVRxt/cChEOK0adYvNDXIkttEU3gajnay2m9DAPElVP5kUKSEtTL6a08kiZMBw+zF50Us/jjWPNmoltilJ9hfI0XhXEx27CXpujiSXuTEutYu5yubgmbrSaLXuTkdqscrhcuBI/40r8jFB4bxAeOXJElf7oUbXjMB5aTlYpLSMjnUeVl5epNnYDMW/jaQBRoRB5ZaZ8nlChMXn4RgTyhdpo4uWJWleIhjvkPd/hEIsYxLrP0zwRHQOo/sDTGqTK17Ilf0NPdDOB0trga/lQfpLYG+LUQYN2PSiqf7tcLt19bhiNFM5tAC/kVlpaPZUtjdaCMJAwE77wOhjlBVbc3lTrB+pBIjmZPUjwTlooqIGRZ5MbGRmuimvOcxAE8NW+6Dypr/G8d4o6kOM51BOBZ68dHa22fxNdTInaJfLU5QB9HHDx2kbHjmq7Ml7c2H37qq5u6nK5oChs1USebwOK8+dFT0epmOJ8mz89oBZAHijVZuoE1APt10KsHrQcBHXu3Fl1jRdFQnzMEMtvXFwt4agT1LjE94Kvfj6vPdKbojwtD/U9SsuiMtTGbnIyu71Stpei35rnkZuKHaw1h+pho0r5lvCgxyFBZiY/pJ0vWk4hRcNgUt9w48aNzPTUIQTPgWleXp4uGkXUBq0HnuBOQQs1Ym1Vqx702Kzat489tlGbA9TY6UHLqzkF7WSYvdYYOFDt5JG3oSsaOjcQ9FD9Fj2o42n26hGbvLi4GFlZWdywdlZECuc2wDfEUGVCQsJUwrjethnUooMXcoVS1eHF16bfyb9PhazgLU4oz5p67rBHRanjnGupj+pxmsOzQ6e+Yb9++oVcAejJiOdfYNs2tTobJbBfgKojdr1R9uhabUkrTIw/z+OdbNetqz4hE11giVJSUsK1gaUm4JYteZEiqFNndj2Ims4oikun+NvsPPXsqRbEedoFWloj/qDlbZpynCa6ccKHGrvZwsi5c1mqkwu9Q0dRzjZ5As327ew41P4SiGkL5UjLg2gIPur9omM3zwt5IFAORnlqtpQWE++EP5D5VdQM5Nixqi/YeWYZiYnqDRqtzV494Dm8pTb8+CYSYvWQlFRbddCgJbBRauqiZlK89tKxo1oQ562vtOzL/YW39qbK17272r7fg3hsebX4phXlhTq44GkOitZD165dVdd4Tkf37FFrVUncSOHchPDUr2mP3Gyyss6q7IK17LdFB4kRI0YQz2CfylGLP57aYiBxaanda1EVIZ6nTNHwIy5Xueq7B2bPIybw8KA2UHwn3arSrJlayOQJhZTDQ+oZgUIJW5TarRaiTn14Exp1mivaNrT6g6iNIrWYEn0GL0+UgKm1kPbtP1pq7npsru3axXZoRfXF2Fi2Y7HQ0FDh/kWdhIs62OGNGVT8Y54/hYyMTFU9aGs8iNUDJYDRi3s3VJlFQ45qQW3s8s2YxMpM2Ubz6nnjRvXYrRVOkYb9EiqkEc+cjNo8E9XO0vpuvlobWkIhbVbFPgjgaXVRpKcfUV0T1cLTok0bte8ZHpRHcMqnDg9e20tKSlIdNGRliW+c8pxCikI5qOObt6nRCikmakpCOaXUw1TRA9U/tSIxURs3ojIFDyoyB8+8jYIyy9BCxjmXVAu8UEx9+/YVelZh4XlVh+Xv9tHwVPgoNUvRzsILuSUqCAO0naWoh1NqoPFAqebzFhb5+fkqJytaAhiVJ8qzqgd6gcfOE3W6w1sEU2hpYehha83bTKK8mfLjA6snbG0TCW8cDgd3ITxo0GCh5+3ZoxbAqFMoD1Sdap3WiDr5or7hiRO8zS2hxwfgSFD9Ai31alH7uqVLf1ddEzWRoJw4eoiJiROuB8oTuqjqOm/TTlQYodBaEIq2Da3TH3/ghUVq2lTcrIry8J2dzRZIqOfxHIu1bNmSnwE/nh+Iqi4vJKnouEjB+66iPiQA9QZAIF7DqegBHoYMGaq6xptD09PVPh527RIL46qleUKZ24iuZUTV+3kUFhYKf3cqT7w5lFrL8Fi5cqXqGl/jTf39GjdWR36pDGUfzYMau3lOIak8UVp1HvTxbaNwbbVFN/zogw5RzQz+IQBLe4bvOd96CM3M2dnZmDt3Lm677TYMGTIEvXv3xqhRo/DMM89gzRq1l0tJYIg6NtBzNw6gJwte+CYqHA8fdWflLSxat26jcspVqxZ/QhNXZ1Pn6dAhth0iJRTybfn1qSReXWuFNPIHng1sSop6UNQ6rQ/kVNoX3mKnR48eqmuNGrF3XrOzq+5d3u2AhN1H6QVvcHd2eSe2gD7x5nkhiCj7voEDBzHTb92qVkXmj2Pq76dVJmoxxXPuV16uXnCKbjLyy6DoEnWCtzCmTrEbN27CTE859xGth1On+JE8KLvchg3Z44Yetpe8jSQt+9hgwQtHqoezK164LEAtDIeFhXFV80XXdFSeeGuDVq3UHrO1zNv08CKuR6g+HlpRJ3w3FbUckh49qt4AEIXXpyiV8G7d1OrJHk6fPq1LSEheH23SRD1mifZbPZ2wAnyNIn+hPO97oNo+FdbYgx5rKwDIzmZvQPfurXbyyDOR0MOMRMvvhKjWolXxSzg/efIkJk2ahPr16+P555/H+fPn0alTJwwZMgQNGzbEsmXLMGzYMLRr1w7/+9//gp1n2/PHH2rPxx6WLFmiusZzHhUIlM0fT32MWpzpOTCGhISoJrRAVPhEd5spz8ceKPVryma1KlB2x7t3swVVSo1KNHQUrx4o0wOtHXTx0xcx22UK0XjzWm2V0g7gnRZu3rxZdU3P+L1t2qgdrFDtsTLiwrlYPQQSe139fLH0WoslSjOFbzcvBtU/eScjublqZ1B6x9emNkl4Wgp6bFZpQdUr3xaZuspue5TQm57O9vpN+TbQ8nIsSteu6ogkVPhND5SpF09zKxBEfQPoselfVsbexCwvV/dfPcNlAfS4xBNq1q5V+57hObQSJT4+UbVBqKWaLxptQRRqDOJtJFEE4umcp8FJlVnUzJAHpVWlFbaM2uDgbfaK9h/KySPPdIa25db3EIAqQ+3abL8Poqf5lCkBb9MGUM9nkZGRSEpK4h7KWBG/hPPOnTujdu3a2LRpEw4ePIjPP/8cr732Gp5//nm8++67WLlyJTIzM/F///d/mDVrFl599dVg57vGQk1oesfKpTh9WkwtqkMHdig1UedvR48eVU1gWg49qAGBcq7koX//AcRV9kBHqYnprcFATZqiu/6UXVKgFBSoJ4qDB8VVUHkCiWis+F9//U11TR/HYRegYnHyoOzv9HaM5MuZM+zYvRRRUVFcr9+i6s5UO9i8Wb1ZVOkNqiu8cDwOh0NYuNi7V70I528midVDILZxvmgL52J5okxVeEIhRbt27LCScXHqdqw17lFx1kWdLIaEsL8Dz9SHgjqZEfVArwWl2SW6EcITRii06sF3Y6i0tBT5+WKbdryDAMqPREl4NBxQ4ICCQni3nU2b1JuYWqf/ooiqR1ObmLxxSY+xW9T7NcCf18PDxUI8Uv1zz549Qs+IiODba1M+IHjfbscOtVmXnuurhAT1po3WQYNoeF7R/FLOQXlRXii0VO9FN4M3blSH1Dt5kh1FQnS+uvhidTsWHcfcY3eI7jHejcavFdiuXbvwyiuvcHcQo6Ojcf3112Pt2rWYOHGibhmUeEMNaDxhJD4+XlgdaPny5aLZUhEVxVaXo9RdeR0yP79Qpeqv5eWYel6jRmybImpxJup4iToxrfx8X5VWnkohIL5jTuWJ5/G9XTv2BgoFLwwVC+ob8ryvX3RR1Z3E7N+vXmxcyI/6G1EqdN6/qboqMk8Lg9JuCAtjL3YCqQdRePaxFNRJpahTO/5C2qFLqCZKu4QHz2s+rX4ntjjRGsfoDQD2O1asUNteiqqp806D6tdPE3ZqRznIysoSC5nVvbtYexRdGPNO2gHaZCk6Wr+QdhQ88zbeBgoLPaJO1KvHFs5pjSWx/kAJijy0fJ6IRjyhysxTK09NpRytscucl5crrMVEt2V2H6RMvXhQmo+iJnJaDudEfW1QUBF1ePAEVVqbSHyjpbiYPX6LRk9Ys0bUPFQNb+wGWO2VDRUlQ2us9KVv335C6UUpKSlBfn4enM7gaphUN37Nssn/z957h8lxVWnjb3dPDppRmFHOOdiSLMkRYxt7SQvGpG/5NoBhYcmwa9KaHD/CYlhMMPsjLLBswASzxuxiTHK2rJyzRpIVR6NJmjw93b8/ivZ01XnvuX16SrJk5n0eHqzqmqpbdW/de88573nP+PG47777ChaB8NVvHkW80BaP2lppnPuN9ZHnWWp1Y9mmw+d5LeSe+bAKhVk37ewdaSqtdXV1IrdMEy0CeKkmq6f+kUcedv7GJnKd3mkX5mPQFrTmZmt5Klubpk+XC7YWQQb8NZALub/2XIyKvHq1pMXmEAedra+vD4ODbmo+p7O5x6t1HLC8MU3FH8iaI0zWNl1+uTQANU0FLcWkUPhYHiyV5FyXamIK1Dmk02nhrCquwoN7vDY22oT8tmyxllKT9/Y5SZjTUGOA8cogWlqV/O2RRx51nl9RIY3SiRNt780P2SYtRaK52cbeKUboNcqe8Tnstm5l2hbaXCl/0/ZXbL3UFOqHhoaKErGL4sABzQEtj8WZIsHmbp8D+9Ahm1ghHxvu93b55TKlUKM5+3QyeJvkMS2djH2PjLo+jJEHiHz7J32NZfcwnU7TUrT1Yds2WVnAiqGhIQwODqKvL94qCc80Cl5Vb7nlFkyfPh0f+tCHzN7NUTxz6O+Xau1xb6aY4I8mcPOzn/1MHNPrcEr4Jg0WhdMErZin2LpJjDtn1gprHj6LwFop3D4wMSotosqcJHPm2KiJGhoapLGj1dd2IQ6V6xxYHV17uSwd0chFIGrnvgkTCtP7wdYmFgnVjKxsNivmMR/zhF/H3U5G+dPmsWKMCyvOnJERZs2ZZL0/My6OH3d/D01NTcK48NH7rW265JJLxDFWHioH5hRlpTQ1FNNvmpFlvZ7GJmJgxk7c6W3Maajt/VjpqsuWLMLdeDXuxqtRDt0BUgii81gxDLo46a+sxF7ccwBjVnV1udPbnnxSltmzMi20Z5g6dboIpmh7K4A7Ia3jVZu7maheW1u78foj+z0KRv9mQaNiwdTlfeyYaD8lEolYdYnYPn7LFncFICaQ5xO35fgTLqXW1NSEN7/5zfiv//ovLFy4ENdddx3+7d/+jU5O5wOf+9znkEgk8Pd///fPyP3PJa666mrlN6meqKGlRdY59/UZ+/i0yPa8ebYyMIXecxj2TTDLvRwcdNME2cSvPZd1kj17tlN4LX3lTdgzajRbNja0BY0ZpcePx1dyBYiHzqaNPasACdskWHNBE4mE+lwLF9rE3xgVWUuRYPAJsvlYGlGwOYI5ETRYBRit8Kkcl5XZci937twljllzL5lhmUNNTY3ZocAqRlidSdp7sJabK2YTxL9R93WYrkZPj401oTl7Wb6pD0wsikfH3Zg92z13s3rzGs6ckZvwuMX9WHReh+zTMdVVeDV+glfjJ0ihkCo0+viKzkt+9XZ5PRZM0H9zt4nlze/aJecRDb55zJd2FQWLjmqBgDjy5v3zubwHqyyRg9VAYxVdrHO3r/KMNeWOOas0BgF7h1qpQys7tDjYxgbTjNBTJOT1fe/5maq2cb5RsHE+ffp0fPSjH8WBAwfwm9/8BrNmzcJb3/pWTJ48GW95y1uwbp301p0rrFu3Dv/yL/8Sq9jVhQQtAuorIVYIionYTp3qjo741BWjYIuBNpE2Nk4UxpCPimyt180mNY1GO326XDC1iTGTGTLnLjPESS1m/aAp2ZaWSgqh5iwAiqOPRXHsmFuA5OqrpSNLy0O0UtSLAaN2WTdAVkPYt7GwfvOsvdu2uSPbzMjTcu7YptY6fn0UvWXL3IYyAxe6sfWb7oySVSd8YO9EN8Lk9VetcpdF4g5CWxt9Riqjl44Z486NfPTRkZdl1aopMHZQ/GWUWM1ityPEvjTI62u6FoCkIwel1Nwb3Tjy5rWa9cuXrxDHfDT1OEpCau86jtQAq2irr9679Xrs+daudVeRYCJ/mkPg8OEj6vdVKDQlcmvevFVPgcG3p9QEhQuFda+sBePieOZsNov2dndqFdMZ05wq69fLqhPWuY0F1vLBhGHjd0o88yiKm3nDDTfg+9//Pk6cOIF/+qd/wrZt23DllVdi+XKbumgx6Orqwl/91V/hW9/6lrdY/cUKplSZA/MQ+kRRrFizxqZ+y2hUcX6QdXX1InqqbSrc97flmml56IyOs2jRYrVNVrA8MS2vj02MdrjfEVNc9W2m7NQyVr/XbYwwOqie18XuaTod2WxWzW9i7ANWI77Y+zPhJZ8x7yu1Vgg0BwNjC7B86Rw03YFCUYzKsRY1i4OKrNUT7uvrFTTcOETu8nHNNdJZpT3X3r22FDU2BnzRSzaPaSlD1kg7+405f3Jg38rEie6xWgyYGJWWD/r73/9BHLM+s2/8Rp0SiURCTXFjgodWNozG8mBBCOvc7QNrk+Z0YGJXVtqvBsae0YT/AGDHjpFrW2hgDnZt7mbpHMVQwjXmIDtfsy+s3wNjhTCNn3ywGt5xpkiwikHaM7BvqxgjVXM8MkPcmoJqBbNx8hF1ypeWlqKysgrjxz+77MERJU7W1tbixhtvxA033ID6+nrvS40Db3/72/Hnf/7nuOmmm7zn9vf3o7OzM/Q/IJhcLuT/aR6xp556SpzPSpjkg91DQ3l5hTi/qemQ8/wgfzV8vkaXzGZlmzSxj46ODvT19YXO9xkjmYxskzZxzZs3n7wn9/l79uwR5+slV+z9MGXKFHG+Fh3p7u4R5z/nOW66pL1N8p36omZsbGgGSUVFpanftm/fbnqGbDZBrq+vaNOmTTP9zc6dO8X5U6a4lWN5P7ivX1NTK873Rbmi56dSKSrsk8PQEHun7jadPdtFxoY7D9H6zIlEAqWlpabvZ9OmzeS53c/M5wx3m1asWGmau9PpNAYHB0Pn+8RTWZs0pFLyHW3YIMvhDENe32eMWOex06dPi/M11gObMzTMmzeP9Jv7b5qaDorza2p0lWPrM8+ZM1ecr+Vr9/cPiPN1J7ltrLJnGBgYUHO2WT9oFOzq6hrTN71v3z7ze7Wef+mly8X52t5hz5694vx589z7K+t6UlJSglQqFTrfZxSyZ9bWE+s81tHRKc73iftZ+2H8+AnkfHebfve734vzfWkWlmeePn26ON8nztnVJde4adPcjDXrHjSRkGNJn7vlM/tKpVn77dChQ+J8rQKCdV2fO5fN3fo8Fl1PkskkysvLUFsr90Xa/9j8dr7+VwiKctv39vbixz/+Mb773e/i4YcfxuzZs3Hbbbfh1ltvLeZyBeO//uu/sHHjxoIp9J/97GfxiU98Qhw/ffq0V0jkmYTWtqGhITFxtraWAOCRuWQyJUSFurq6ALipVI8++iiWLw/nW7P66jn09PSINmk5sM997nPF+ZrAyYkTp3DkSJjO0tTUDsCd29ve3iHuMXbsOLjm34qKSnE+i47nkE7LBWzHjtMAXFTaLJqbm0Obm2Aj76aFHz16TBgTQ0Puiaunp1e0qbe3GgA3SOrr68X5WjRy167daG4O9+vhw4cBuBeoM2daxT3q6ibApQm3aNEicb4WWThy5Ck0N4fH/mOP7QfAy3cUsvGIorW1NfTvYPFwfz+dnWfFPdraSgFwQ6y/v1+cr9EGW1rOoLk5/D1qKsrB37QIYzyRcJdVaWhoFG1Kp92LyiOPPIrm5nBkY/v2HQD4JpJ9P5q6LhCMzfzx2d7eDtc7BQIxteg99u3rBMA9/6wfNCpjb28vmpvDA7mry/39ZLNZnD7dQr4xtyOzt7dPtElb3NeufQLPfW44Zy+Y7zkGB+V6MnZsvfP8adOmoaWlJUTPP3OmFYA7T3DHjp2orAyzbg4dcvdDV1e3aJOWtlFeXiHO1ypnZDJZcf6RI+72AHwsaZvIw4cPY+bMsDGhscMGBgbI3F0BgFNtx42bQOaYduf1gUDHYtq04e9xYGAAg4P1znuweWzOnDkgAuhP/2aZx1pb28T5jz7qnrsBSeUN9kruubijowPNzeF1XFtP+vrk99bSkgTA58qhobQ4X6Pe9/b24siR5lD6S/BM7jmgo6NT3KOqyr2/mjlzlmkvs3nzJjQ3h7/PLVu2A+ABsEwGYi+j5UYDgVNCzmPu87u75RywY8cZAFzYbmBgUJyvf2+DaG4Or+utrbpxzsbr4OB4uPZXJSWlpjatXfskmpvD6QS8XGeAoSE5j/l0VmpqakJ/k81mkc2617idO3ehuTk8P6xbdwDANfT8/n45j2mButJS+Y58ZfxaWlpCjIV0Oo2+vgY0N7ejubkw6kAmk0FHRwey2WyRAtnFo9DUHJNx/sQTT+C73/0u7r77bgwMDOAVr3gFfvOb3+CGG24oqpEWPPXUU3j3u9+NBx54oGCRqdtvvx233Xbb0//u7OzE9OnT0dDQQPMWLhRoz5dKpUStwvvv3wqXcT5p0iQsXhymKPlynAYHB8U9kkm38VxZWSXOz2TcA7ChYQKi5Rarq93e42QygYaGCaF2jxunLwZjxtSJNlVWaiJE3YJqWVrqpqiyfmhvd+fX1dTUYMqU2tCk4ouatbW1Yc2aMM0vlXLnX1dWVoo27d+/BYBU3QUCpebGxvBkxvKlcxgayojrnzmjG4Xjxo0Tf5NKufth7NhxYmwkk+3O88vKysT1S0vddTirq2vE+fPn67U/M5kwEyTYlLs3nTU1teIehw9vhsuQ/LM/ez4aG8NT8fLl5fjJT/j1W1vb0NgYjuaMGaM7HCZMmBBqUy6C6yJPzZkzR/RDKuWOhFdUlItn1nL4UqkScb4vhW7cuHEh1oUW+Qf4HNDd7aZSBt9D+PwrrmjEvffy87ds2YrGxnBuZE2NW/AnkUigoaEhJGjj02S45pprENW/GTcu6XxXPT295Htw6yyUlMh+KC11OxhKS8sEBfzUKT0nduzYseIeiYTbYVBVVS3OnzLFPWe0tbWLuVtTP08kkuL6Bw/qG/NLL71UCBFNnZqFS6Lj4MEmvOpV14eOaf1QVia/n+PHdwOop+dPnz5dzN0TJ+qb2vHjx4fuMTAwgETCbbTV1sp5rLzc3Q9Bv4XfuxZpTyblGlpV5V7fgICab0lnbG4+jcbGsNMllXLPleXlFaJNe/c+Bpdxfs0114p+uOQS97zU39+Puro67x4sH3V1bB5rA8Df7ZQpU8TcXVam7WVKxfW1CGwikUBjY2Oob30VuoL3GmanJJPuPSLbU3Z2ur+fuXPnifOvuaYRX/wiP//QoUNobAxXHxk7tt15fSAIOEXvcerUCbiCE1dddZXoh6lTu0AKoQAIHENyz+pmCySTch7TotqArHOezWaRSLQ6zub7pZIS9xrH+m3uXPf+qqWlVczdY8boKXjRvUxPTw/6+nrR29uDxsbCxBMzmczT6/H5Ns4LtV8LNs6XLFmCPXv2YOXKlfjsZz+Lv/zLvzRNMCPFhg0b0NzcHKohOTQ0hIceeghf+9rX0N/fL/I/ysvL6eKQTCbPe4fYoOdGy7b7zg//7stRTyTk+9Fyzerr68X5e/bsA8BrNT/xxJNIJsN1KXWFxoToM1//XXrpcnFOkNbAnTIHDhxEMhkWRtHLZcl+0MSeysrK4LEl5B1IP2h9zc7Xoik9PT1IJsMbzhUrVijXl+/d1w/jxo0X5zQ3nwLAc9oefPBBrFkTdvZNmDABbkYo6wd3mxYuXIhok/v6egC4N/N9fX2he/hoV3x+cfdbaWmZaJO+AbWNPdamoaEhpNNZuJaA48dPYM2a8Kbjsssuwz4pQOtsU3TeyceiRYvE+fv374UrepnNZnH27NmQQ0tT8QdcObXuNs2fP1/0g4ahoYxxLpb94Ou34JsOH2toaHQahdY5o65Ozt3bt+8EIEvdAUGeYzbbGFprfSJavE1u3HjjTWLsBPmpvMzjsWPHyNxtW0N97autlbT3VEpLw7D1A2uTFjXr6upCMhluEyuLlw/rGjp9+gxxTiAKyYV4H3/8CSSTYQErzdnL1hNficqoQ9uXr93V1W1cQ61zq9xf+cr4WfshlSoR5xw7dgIuZ++RI08hmQwbKatXr8EDD/DrW9f1SZMmoby8NHROa2sLXAEiIBBinTNnReiYFuW1zt0zZswQ86Q+tdr2DQBf19Np9/jLZLKCUeArR2ppU23tGHF+UN3DrX104sSJEAspm82itnYMXGRd617m2muvFf1w6tRJuJghp083G/fdru8n4dXQiCJ3/vm2BQu9X8Gtuummm7Bx40asX78eb33rW8+rYQ4AN954I7Zt24bNmzc//b/Vq1fjr/7qr7B58+ZYhRmeacyd685xspbVOHnyOKGnxltf+/rrbcwJplipCbwVU+qDic10drqjNczeuuKKK+VBpU2azdbX1yfeu5VeDXClyhyYsqaGgHYchrbYFIOoF9UHRvsaP95aD9X225EjusoxgxYRspbZY8KD9jbp3whT5NXAtA2std2175aJhPnobFEwgykM27zBcg4ff/xx0zW09xw46MLzkk/AZ906KfKoUbbjqCmuoaenTzinfOXhrG1ixpCuRC7P19Se2Tj2tZFpCbS06LnCUWh57atXc0e2C5oKelxgaSbW9WHagqWoRheq0YWeiAO0mHU9OvaKEYXU9lBsrdHauX37NnEsDvHNfLB68xqYDozGMrLuZUpLy4WBoc1JLkyfLut0D8M2NpgjSxfIldf32TRWYcBHHnlUHOvpcbOMrPPktGl6GhhDNM0kkUioexm7WK48pmltsLG3aJFeitblLDMWQrngUfBu68477zwvauwu1NbWYtmyZaH/VVdXY/z48aoC78WI/LywKLTyRAyZTFYsaNoE4YJ1c69DfkWacmdFRQVxvuhfIt+82NTatYmJ94P7+r29PcI495UjYfefPdvtuGHKmtbJ9dFH5YKiwRcl0HJwC4V2jVmzZpmutXWrrcQeQ+BxdTsDV668TBzTNnhRTQjAXnLFNwfGUcJLF52TS4mWu8yUb63wMRjmz5+v/h4Fc5IUKt6SgzZPlpaWe6P9heDoUZvjRnPaDQ3Zno/BJ6TEKbLu8cgcElaHm/Z98nGhfx/sG+3t1cTU5LElS3i+LMCdVda5mzlbNSSTSXU8BloCI0Pn2bPoQTV6UI3oO2aK9j5YHdrsHWrlaC+91LbHPXtWrk3Wua2hQTf64igTtWuXu1QtM9w1Wnt7e1sB9eX90J5r9WpbxSBWW94ahPL1g6ajVCi2bHGXI2XQKgCx54u78syECTZnFdcDs+09tFLSAM9hL8bRd6GjIOP8hS98IZ544gnveWfPnsXnP/95fP3rXx9xw/6UoZVc0WoSxoUZM6RnWaMg3XvvL8Qx6yShUfimTJkqFgut3jfAo3DWMjBbt0qv+DDkp6O3KZ5CjJow35Ej7lxrDtuExgxhXz/4au9Gwfrh2DH3Zmf2bJkOoS1oRluLIpvNqpsTZvBozB5r5KKyUrJMfN+bTxG4kOuxjWgOrCrA0qXuqCxzPljnDL9RKCOVkya5jec4FnitBvnQULqIevO2+zPWlWaMWJkBDIEwnxszZ84SxzQno17HvTBo5afYO/VF/61gFSk0Z9JeV56CE2zO0AdLtJRaSUmJuq7v3m2rc86+H80YYawqX+UZK9gr0Qx8VkUgzhrKpaVlYmz4HKdxlFLT5spVqyRrY/Fit0Pv7NkukU7gL6Umn7GpyZ0HH9V3AHwBIvYObaUINWcbgKerPRUK67hhTkNtf7V3rzPHzIlom7LZrCoYysrnXnaZm8nR3W0N/Ml+OHTokOkKyWQSqVSg2P5sQkHG+atf/Wq88pWvxJIlS/CBD3wAP/7xj/Hoo49iw4YN+M1vfoM777wT/+f//B9MnjwZGzduxEtf+tJz3W4AwB/+8Af88z//83m51/mEVpKO1RRnNYZHgtmzpYK4Zjyz6FIcEaIcAkXJbOSY72/YMRvNVqPMsXqobCIbCVjN123btjvPZ8Z5nDUpWepBZ6euPGnf2LBNpy3qzBZ2Db42RhfIbDaLdNptnD/44IPiWJz1e1mdc406BshNZyqVQip1bnOt4k6fsUb/WSk3Lc3CTgmXubf73En56OvrE2wZH/PEuumcNk1SRTWnnTXqXAziHgdRMMaQtpEOKkyEUUwUV8PVV0vF8SeffFJpk3RiMqdGDsXUOY+uyZlMRnX2xoFUegD/ilvxr7gVZRERTWYw+kraWTFjhvweNNr5ww8/LI5ddZU7vc2KqqpqsT5Fq4FE0dsrI5vV1e7IdhxORp+jx4rSUrkf1EpsMceQToO3gY0LrfQnEOiwRNHQYEvb08DWdSsLI+Zuo2MvmbQV+dLaNG6cZCP4nCDR77eiogLV1TUxs3ufeRS0O/vbv/1bHDx4EB/84Aexc+dO/N3f/R2uvfZarFmzBi94wQvwrW99CzNmzMC6devwox/9iA78UZw7aDkjxYAtFoXK/+fANq45aPQ+hqamJvHB+qJmbELQ6mSyNmmLHMux8tVefyagCfJYN+FsU3PypK42zTBhgtsg0Wv7SmzeLGnqbPM9DNmnPr0KrX49A3cMmS6hnp/JyLxPn9c/ivLycrphyoEZPBo2bNgojj32mDsqy74tbfOVSCS9LI0oTp6U49VXci4KbQ5gG2RrP8fpxAQ4Q4JtKjWwSFoO48ZNMImFApxSa03b0CiljD2j9QNTNLamLwSwporYztdKC5aVGdVFIR2Z6XSabr5zYO9QE51jaY+p7BBuxfdxK76PEoQdAU1Nh8T5x4/rau1WWPOEreB96u5nVufYRxFn/aA5bnz07ChYOg8LAg23Rz6fxs4BgMWL3Ww2BpbmaJ+73b8x6nQxhq1WkcQK9sxHjmh7GQlfvrb1e2Drupbext6hppM0daqc43z9wEQg43ZKXAgoOHRSXl6Ov/7rv8YvfvELtLW1oa2tDcePH0dfXx+2bduGL37xi+YPcBTxQIuMNDQ0iE2tTy3Qmhdj/TBYvraeUygXA59K6549MnpaU+OeJOIQQtu4UU5kOZSVlYr37jM2WN68Ts2Xv2nGc37lg0Kuz9kT+oaT9atWO9oqpsZw+rSnJlcEc+dqCqrFiA7Jd6ItaPPny++B5XrlcOiQbcFmCCIj7o/Op/wchUaN45DvyCoeWAw0yhyj+GrVCw4edNMyC4WPws2chlrkwpp3bDUwa2pqY1G31fQ22Byk6QcwKrIV+/bpzBO2wdScdmvXuqPkDGye1NhqCxfKvZZvHbZ/oxKacGt5OXN+23ReTp2y5ZT7SuJq75CBjb2tW91sNZZGorXp7NlOc6CDQdOK8K1nUcQRVPCJqcXBoGN55Tmw0oma1kZQMWbkbersdM/fXFDYPXeyOcjOgtDP94uo+uFjS0axbJk7vU3Ldy8U3d3dOHu2E4cPu0vtXYwoepWtq6vDpEmTvLVmR2GHPfey3flbaalUCNbEPuKCZuCzSA6jt2jwvaP/+i9JzR8cdBvga9euJfewGcJam2prx4gomY9+XYxwXxSaEAxrr6ZyXAxY7qW2oO3eLdurRXitQn7F0PyLYQdEoRkjTABS32DZKa1RBLVB3W1i7Z0+XasUYdtEREsiAfpGOpv1s2UKgfZNX3311eKYlot88uTIxal8jh8WmWFpR3FCm7u7u7tE5E8z2ADX2HT3A8t3HRhwRxe3bdO0QeJBNF8b0KnFdvVqmzHCMG+ezSjzgTHNNP2PAwekcaE5YouB5rRkYM44q/aM5tRg6u5W49gH1qbdu91jg+X9zpgxK7b21NTUCLaZxsAAXKmatn7Q+m3FCpkHrRmiTGS2mFTJjg63ocr2Ldr+Kg4Hhi9fmzmDNfaWtU3MmayxkvbuZU7RYtIy/kQF4UZxfqFNKrqhItHR0X7OhSxYKTWNqsXEBSdPdtOvz56djbY228e3e3cpvvrV8DF9cy+vr9eklNDfW0bkcfk96DbKnLXk2PbtMiKgCQQVA7ZR0RZylmOlUfisYMbOgQO2CGgikaBOhxysG4sTJ6Txr9NN7QuRlZq/adNmcYwZ1DlY5wxGRfZtLKJsGX+0ZuQK9b6IahR67V57Ljej/mqw9sOqVavEMW3stbS0is1W3GrTTI138+bNyvVlP7PxNQy7c4tF54spH+VCfu3hQsCcrnFSbAHOGtFYScy5ZlXd9vVD1Cj0sQHY9exlgN3zCEv1ikPJPB9z5rCx7G7Tli0y1Ys5l3KwBhrGjKkXAR8fW40516xj3gorw8yX3lZRYfu+duyQLKY409sYm8g3J0VLQiaTSfP3oLWJ7UG19DYGNv//KWLUOL8AwejGOVx33fWma3V3d4sIbDG0qtpa9wfMaFzWScjned21K5rn6L/mu94VbZN7uLPraXm3DQ0T/Q3IQ2trq4hGFhMJ1KhaTJBOe08sT1mP1shF3Ff2wg6bQcV1BNzXYMa/dTOVSCRUJ9nll19hut7OnfKdsw2WBl/NU87SsH2krNazBs047uuTY886Z/g2U9yZ4G4TUy4/fdoWHdfqhldWVop+KKa+tnXTqRnPpaXMmWD7BrWotgva2GB1mq1jQxNqmjjRvvlrapKUSU3Ii7VX02Hhc7f7HQ0OSiE39t58YDXfh+9vu5bVGcaoyL6xF60M4NcKkNfT5sprr5VVJzQwfRO9yot8qT6qcRwlvJhwarEYHBwoUqMhDM2RqZUTZnjiCcl81Bhv3KGnM5KsgnSsFOH27drYkG0aP969By3G2cvU2rW+tM4B9opBEj5nr1V75mLFqHH+JwifEmdlpTR4xo51LxBaVKNQ+KKXL35xDX72s+F/+3LNcrhyBEKrLKKZA/M26q/VrlhhzdeOI39H84DX1dWLsTNzpkZ1tkceGbTc3itJB2sb83io0Vlks+4FTRMePFfweb+tefNs7Gll8VjFiCuucFP4tKoDhcLnZGQlISsq3BtCRvOPI/peyG9uyPtrlQIY1XrWLHcUWa9dXxh84m5sbDQ0uFk+e/ZYy4pJaOWy4hDy84FdT4tsW/M4GXxzW9QILCsrU1Or1q2TefPW72HjRik2lgPTtfBtvJlTz4rBQbdGQSplEwqLIyfYV8aP7UOsKXda2S2mAaQ5kpqbWwSTpJjvR9trsJJ6Gv06DpGwYmjtVnR3u/doTG9nwQK3wBsLNFifIZPJqI6bq66SqV6a4LddD0eOVZ8OC2cwjNLaR3Ee8PDDDzl/e+SRR8QxzRgppuQKi/z197sXResHWWypj+9/f7hOdaEqx/mp5NYFTStjweqor1kTb7428x5r1N/166UgXRwCazlMmjRZlLPyjaU46jpr4n/sfKvXvZgSRNomcedOSWfzOTFkm7RyWTLy46MV+mpRS9hK2jEV2JISWwqOLy0kCh/jgbFx5s2Lr7TgxImSKqo5Knt7e4WTpJh8ba0fVq+WSuuadgWL7sQNlgJSVRWf7gl7H5pDj30LnDqcfw921N0PrHSi5oBet269OMYjy25YS0L6oGm0FHr/gQH3PMnnbp0BZAVzxGiGKmMsMdE3DVo/1NXVicCCjzVorWxgNSJZGVkrhdsH9o2ePetOt2Q6SiyvvFjU148VgQa9ygt3ZPrmbwsY60rTqunpsQrV2sHKl8ZZPo5d39cP0TTdyspKVFVVYfr0eMthPtMoyjhvb2/Ht7/9bdx+++1PU7s2btxonkRGwaExhnp75UbrfORosLJEGjS152IVI++9F7jlluC/meiJC8Pfv3sztXIlUy53X5OpyvpotlawRdMaYVm5Mr4Fra+vXyxovvra7B3W1LgXNFY+SDNGHn30UXEsDlViX5s0nDoly1lplQKszipGZ9Nq9zJUVVXFugFjcz8XAQrAnlkXSEwWzJbJYccO9/15m0ynU4eL5owKGBfhm9jzX3WwZ9CplBLz5rmV0RkV1ffeWN68tjG3GsKshJcGFinyCZdZxwZLqWhttVGL45y7ARl1HhgYQHe3ba7UymCyOsN9yUo0oBkNaEYPws6Gbduk8KDPULXCWnWitVWyDzSWhx0JYZAwR38+2NjTxP+SSdt6wup7HzggK8Vo0DRYAJeDw5Y3b2Uw6E6SetEPvvQcdj0t5cC6rjMF/vXrNyh/Ia+vaQsAdocfS9HwCbfKY5r4JythrLcpypgLqockn3Xi5GbjfOvWrViwYAE+//nP44tf/OLTXuif/exnuP322+Nu3ygi4B5It8FWU1PlpU1F8dhjjxlbxepeug3wG2+8URwrdPPzi18AnZ12JfPOTqC2tt75+/79ZSCC7SZYjQGfcWTN8WX9kMm4XywTvNP64dAhmXfpS5FgqKlxjw3rZootqDotVr6jqVPj9biyV9LcLA32HMaMYe/DvaCxPGhrNwQbE/c9LrtMCoVp5x88KMeGNSrL6M/5iKMmOBPpGYZ8PmZw5MDmXb0f5PVZze18WPOjH374YdIm2yZRS2FqbJzo3YhHwd4TM4KGIdurGapa3nSh1y8msKDpTjA2mVUlXBtLM2fK/FjfHBDNwfWl57DrTZninivpPJpIoAUNaEEDou+dBSF277alWbAUvHwUsz5FceKE2/FpZaZ1d3fFUkpN03pZs8ameXLsmKwtr8/dchxPmqQbhfYIs7zH5s3uFAkGrTRnb29vEWPDlmI0e/YscUybA5jmiRUsoJMPn/EeBROT9gm3RsFER+NEf38/+vv7ceaMe491McJsnN9222249dZbsW/fvpBx8eIXvxgPPeSmY4/i3EGj8I0ZUy8iTj7vGfcgWr2x7s0OmxMttXODYJOtPXV1AEtD/MhHgGQyg+98R+anW2nwmgd83LgJKC8PR518dZ1PnJAl56zQvkmm4D1r1izlavYUCU51dFO1Ojr0fKNCoLWJleLxlbSz17OW70mLbK9cKRcvreQKE/Kzoq+vT+2HZFJG57XSURzx5WsDxZQWZM4qtzGyfLnMs2R56zns2GErdcVw+rS+oZgyRSoaaxssrf5xoWCb9RxY9N+/x7WNAxaNYuMxhzjqA7PSSvlggm1aWa84ci9ZVZMcmLHjKzMWR84sY+7lwHJF487ljzr9fdEylvNudZJoxghzJl96qTtfO51OizStYr4f6/4qzjQSuzMMOH7cPacw8H2D2xBmlHBN4E3TpLBAuw5zZGkpElbGEBvHutMTSKdtqSrWuZvNQZrwH2NoWOeMdDqNdHoQZ8/Gy5h8pmH+ytatW4c3v/nN4vjUqVNjqQc8Cju0wTw4OCDEO6yRDx9YuaxTp9xj4Ze/vE8cW7Roseme27eP7Bme8xzg6FHgk58ESkqGjZ2vfW34nDhLriQSks7mUzyNW9AkCiY0o+X8FaMVwK6nLSCMxqVFa6yLR2OjjET6DCTWTyxXSkd8UbNi+iEadR4aGlLHH1Ptt+ZeamAOiQ0bNAqfNM59UTMO97urq5NGoU+cxnL9YkRrWOQizlzkadOkuA+juQ7/dkxQ9616CkGbbDT1ffvcbBiWxqIxt4r5fqzfqBUsJUrbSDc3S2dfMSr0GljevJavzRhLlyyYg6/h7fga3o4yuJ2BOfjeadSRquXkBji3QlEsjSXu2u5sH6JF31mJ1GXLZF/mYKWENzZOFKw/TZ8H4JoocerhMMexz+EWRTGBBm0uaWmR+wqtApAVjY1S58Vng0WrTiSTSTVVxQq2j9dER5l2T9zr+sUKs3FeXl5ONwx79+71SuCPojCsWiVFfXLQyqwxnD7dInLsilE81SIXrLyXXgbG6r2T+Nu/LW5iX7r0JB57DHj4YYCV2XznO4f/e/Zsd14XU+TWJvfOzk7hJNHUr13Q6GNXXXUVOeruB0bltJfL0n9nUelEwv1H7Hpx5kYz1XIr/TqVSqmK7Na67H/4wx/EMZ1+LeGLalvnZqZtoEVlrRu8OIwd3yJudaCwclnW0oKLFrmp+aWlZaLNvmdmxpBWwou1SWMlxVFr2Peerf3KyoR1dNiowIsXu0tOVldL50YxefNaNQ9OCXenSDznObYSXizvs5ia3xq09KNCUV9Ti7fjG3g7voES2MRBGaJ7l2L2Mto3quktMDABSL1CifxWfOVImXK5BmtlDiv43K0PLmupWi1lhIGlVe3Y4a4IwtYr7fsE7Ov6rl3SKNWNZ9saOmZMvel8do8gaGQrp6iXSJXOMj1HXV6L1W/Ph2vdN8dLLnCYjfObb74Zn/zkJ59Wyk0kEjhy5Ag+8IEP4JWvfGXsDfxThJYjzmv32sA+oHzwjYV7ExdHDU2fsFhcWLbsJKI2bPSjfulLgfZ2nUY1aZKcyLWJcWBgMJbaoOPHa9TFkc9OrOb201cnk7hWVgPQc60LheYwWLlyhTjGyuHkYM2XKgYaFZpD9pvV6++LXsaRe6kJi40bJ6POWopEHOWyos6uKJYvl3nK2sYijhqtWm5lIpEsQjRStpcpGefAupkpuOfADH1r3vzx43r6DYvoas6thx+WFUk0sD7V5tqGhomm6wN2I5C9Q7ZmaOdbWRg+Kn107JWWlqp7DftcyejXbgc01xfR1zBrKUz2XjVjRNvn8OvL9rLglXa+T0Xfp0tRyD3WrpVl8XJge8rJk91j9cyZFvE9FLO8aN8UK5Gqzd0sbczKkPExkuLQPPExDKK44gq3fgAT1bT2w9DQkJpKyIQHNUHfdevW2RpAUFzViWeZZY4ijPM77rgDXV1daGxsRG9vL6677jrMmzcPtbW1+MxnPnMu2vgnB40GwnI0rF5GH1asWGE6/9FHbQJyO3ZcL475HAZxgUdtw8fuuw+4+269FjMTWps1y53jVAxY5EKj2W7bJo2nOOnR8+bNE1EyLZ8I8EX5WJvkMW3xqK2VDAqWf2a9p4ahoSG1tCBzVrF2Fnt/JvrCoo35iKMcjzZeFi2SkUpto8vKwFjfQzHCSnPn6iWzotDaxNKDNDZMOp0WG9Ji8jc1MGaV9gx79rhpyoXCRy1meYgakyMOVgWr0Z0DK82oOz3t3wPTE9HmMVZKLW5EU4ySyaRKwebMANuaoc07ZWWSEWVV3veB9dvhw4ec5zMjz0q/1sZqZWWFcIhooq0AX9fteh7ue8yeLedEjVFjz1vm0KLIrLmLFkndB+18DWzu9u1VrN+DtU1MhFVbH06etOfNR9uUzWZVJzcrmzZ/fnz9wMDH+zCiqSSlpaUoKSnB2LHxpUlcCDDvDOrq6vDAAw/gF7/4Be6880684x3vwP/8z//gwQcf9AorjaIwaPnajL6zeLEtX9v3AbEcJ190JAotwt/be2F9RGVlMtL65jcDW7a4JyEWVYiz/iPAaVRaPiijIq9Zsya29nAVcn2BYH+jRQ/Zoqltgq2CIsXkm0ZLqWWzWTUyt327pKRba69rqK6WThvNocdQVlamiinZqciSZaIxHuLIm/eBsUDKy90RW2ubWN1dTfhvaCgj3pNPPdfaDyy9QaN3Mmh0U2v6AsAj/cxALhbs29IZEtKB4q8BbhsbrPKAxg5jVGRNWKyYfoginU6rTkYGLb3N56iN4tgxuZbFLSC3dKks1dTd7S7XtmvXbnFMo8FbUVJSJuYxXxlM9k4mTLA5tzQwgdE4hFnzweYU7RtdS0rnaOVIrd/n5MlTRKDBZ5wzwV+fSn0UWt9EBYMBe3qbTxXfytDhDgltgNn6gVV48I3f6PdSVlaGkpKyWPP5LwQU7bZ/znOeg7e97W14//vfj5tuuinONv3Jo5iNqwvJZMKkhA4A+/dLg2doSKvfK4/5qL0LFgTlzbRrFIMFC3TqOKP/ujb9PT1umhPrI1b7fCTQaiYXCo0+ylSRtX44cuQp4YHPlVK0QHNiXHvtc03XYjQx64Lmi4ywRVODVWnWuqCxWsBWMZvS0lI1asYp6e52PvmkpLNZqetLlsiNdD6sdc7ZezpxQlMil8c0h4CdilzoNYZhrd26d69855oxwqDVUJ44sdEsKMociseOac5e+Q619JmxY0ee6sUcmyOBvV63fGZNR6K+3u7gjjol0um0GjVjY1P7Rpctk4wlbS/DnDZs/GrwjUU7q1C2V9PIse7VBgcHChCx80MzRKzCnUxAzlqOtLFRTxWxlitlTEotRYJBcySda4FHwF4+jr1z67zkSzPUq/FINDXJSjUbN242XWP6dLctUFtrW9MZ0uk0Mpkh9PVZ59wLG2ZZyTvvvJMeTyQSqKiowLx58/Dc5z63iNy6URSLnTt3AuACOJMmTcbEyLzpMzaOHj2KNWvCE7x1Eerp6QXgNgz37QPWrwee9zzTZVXcdx9w/fW9qKmpAMDHH4uQBI6HkSusBqJB3PCsqqoWGwmfGNOuXbuxaFFYZdXaD7t37wbAPf+s1IiWg8hKbxWjcBrn+Qxajh4zdiZN0lWOm5ubvWXv8sGeYf/+fQD4xpblBM+e7d5gBR7+kQl5BSV9ANe4t7JA7P0mx7FP+G9oaMi4rrBSM+0AeD7lpElyg7ly5WW4TxaXAJCj31lSKFwl9twbW2bw1NTUwhXkCSIdLJe3cATGA18jkskSIrwTryCcNVIYfA/hed16z6B8nJspxSJkEyZMgCuL4ckn1+OlLw2LvFlLeAWsID4PTJwo2+NTCY+LjnwuEewb3IjO3z62ZsBwmzWiNgVVJGQONABceqn8PrWKJ319/ejpSYf2YMWUUgvKRnHnzbhx8alvM7Bx7GM1Bc4qiwq3vEcwt/F3y9Zwrb72sWPHkc1ONomGsn46c6YFAE+JYcwqVr42ByacZtX/CL5x9xrJHBbWksEaWHu1fW6QAjiy8RrUOU/g5MlTAOJNLX0mYbZIvvzlL+P06dPo6enB2LFB5K2trQ1VVVWoqalBc3Mz5syZg9///veCDjqKcwNfvmkU5eXxqV+7rheoHOvK8jfeCPz7vwN/+Zf6gubDBz8I3HYbMH48kMlUIpVKwMWaDMpmhTd6/f29AKzKtDZaYXl5BaJO/rhL2rGJNBBk48Z5EDUJL6os70m7vg8s2hmUAeIGyRNPPIHrrw9vhPSIqTVvXiqBasYIEFD8LMY5g/bumBCNLvxop7RGf+/v78fgYBKuJYB9JwsXLoJFI0pr0/Tp0sMfpOy4F9fW1tZQrnLcDmAtl46BRcCK0S/Q4DJULdp1WpsqKuTY27JlC4DL6fnt7W1Ip2tDc1ccIqX5YFUntE1cEJm3UBrt8xiL8GiRuTgQbDa5cR5EFsNz1sKFtvHrAxPyCyLb3PmzefMWAOGccc1QLGY9ieoXBOlFbmagJp7I28SOutvJxEfPR9WigAHE+yEwYsN9t2zZJSBFQZzQ5oy6ujEoLQ2vG0F5VMnEy2Hv3n1YtCicphHn/M2YmtozsLS0YpwkAwO2vffcufPw4IOmP3GCObOD79Od5nrixAnMmzfs2Esmk6iurkIMZA4ArrlbOk9zCNIiw3NEcQGaUUE4/L//9/+wZs0a7Nu3D2fOnMGZM2ewd+9eXHHFFfjKV76CI0eOYNKkSfiHf/iHc9HePwloTg1rjktzc7Oo4+yjS1s/jj/7sz8jRwv7WO68E+jutlNWc/jWt/bjM58JDHMgVzZIKx/Gcrbts4F1Y9Hf3y/eezH52hpNXaOjMljp3xz6e2DjNZNxGyQscjJunC7WFIW1hBcrk6QhlUqp+ZXWOtQszzHYmHMUs3hZayAzbQudYm37HlhKhVWJWYtCAPb3xPJ+N27cqFyf0TvdG/NEIineoa+NW7ZsFcdYfn+xsIon9vb2idSWmhq9jJ91bDAqsqZEzvph+fIVpnv62sjKLeqq3PKYxlhjdHFtbDDNk7hZTIwCqwm3siDBzEWXYBaaMAtN6C0gchq3KCS7nqbzUFtrc9IfPChTAPXSnHbH6qWXSpE8q6aCtiZZ9zKlpeXCsC6mHzSqexzjwCcsFoVvHssFIwvFY489Lo7p6W0S2nuYPFlGpH3vLVoFJplMenRY2DH3eGECdrt3a3o48lrWfezwvYv6swsWZuP8wx/+ML785S+H8lrmzZuHL37xi7j99tsxbdo0fOELX8Cjjz4aa0P/lMDoxjkwgRMN6XRaGIXWMk0AV9yNA2vXAldeCeFAKBTRdPr+/n5ksyMvWebDpElTEN2baRNjT0+P2FTb8xL1scGon1ZxNLagaPAtWHHk12nXsDqrAnr5yJBIJFSv/6pV7tJVDKzcnLWs14IFetTMytLgKse2NmmUUyYWF3fOnzW/bsMGaYj7yrVFwRgBOSQSKS91Pwpm8Bw9alPenzfPnSJh3XwxMKGkfHCmlvseTFDRCs0QLoalxRypmqFqzdeOg4pszddOpVJqTravbnoh6Onrx2HMwmHMQjay3SxmT6HXiS4MrD50DoyKrKG9XY59rQQdGxe+SHscDA3mbNWgOZ97e+Vephho871Vv4CJf/pSJKLwObB9FR2iYNH5rVuls1XDnDladZGRL5iBWrt7HmPi0BqYfoEVWgAKcNHkn2WWOYowzk+cOEEjr+l0+umJc8qUKUWVuRlFAK1cVk9PjzgW96aWGTwaFf6BB34jjlnatH078NBDNtXYHKIbz3Q6rRrnvJSaHVu3liA6b7HSZzkU00dW0RJN5b9QaDRbJvri22BZo9Ls+YJ8UI758yVNXRPEYeI+1r7JZDJIp92bkzgMHq1NbEPtM75Pn2bK6bY6ylqkcPVqWRWARXxy0Pq0UPjUdVl03moEWfutu1vOz3lXE99X3HP31KnS8Kyvd1O+g3xaC1gev94P7HvUdB5Y7qV187Vvn9sJx6I7PqXxOPrJJ7Y5UviictH5u7S0VHUWxeEk2bx5s/M3Vm/eJySrlQTj58tjmoipXSjMFglPpVJirvYZ31anC4MW/GCpbFqlgO7uHmID2HUnjh93rwGMFRVvgIhR1HVHrD63jxzTpknHrqb9whwuVvbM0NCQGqxbvFhqWWnVoawq/2x91SoSBX8T/ncikUAikRCpFhc7zMb5DTfcgDe/+c3YtGnT08c2bdqEt771rXjeH9W9tm3bpkb4RqEjyPnjePxxWVPcqs7pw4IFMpdJ25izCHAyadtM/fznxeWcWwQ9XCgpKfwzeMlLgMsvH17ofvWr4cli0SJbSTsfWAmX3bulhziHgwcPiWO+zY4F1dU14n2f6wXLh0AYJwy95IodUXZAJiNLYuXjscfkNxpnjVZG89dov4CMIiSTSXMVBw1MjCrOTS2DVs4O4CWKNFVh6/0Z/S4Q5+QYGsoI56qvhJe1TWzd1aKNQ0O23MtiSnix3xOJ+PJNmSpykAPLwaLgrIpHPqxG2zXXPEcc27bNHTU7fFh+v5Mnc+HCAPZ1r7IyHJEKSkJqSuS267OxUZIZxBfwPnwB70MpwsZPT480CnypKlawaKj2PTz88EPi2MqVtmi6hvLySkGd96XzsDXOWrYuznrcxWgFsH2aVgGIOfWtTCgNjGXoY6sdOyYZS9bIsgYWEfalPp5rsGCNfey5wVIJtLkbkO+kqqoKZWXlzzqNM/Pu7Dvf+Q7GjRuHVatWoby8HOXl5Vi9ejXGjRuH73znOwCCF37HHXfE3thR8InRWl/en5ciFwOdCSHbdOmlK0xtKhbWHHKW2+7PmQzw2GPAf/83UF4+vOl/0YuCYwDf6A7DvqnlBo9tYfSV1pDXd//W3t4hIhdswfJdT6OHXXKJ22PPsGmTpCKfPKmVaZLwOXisHnumiqz328ij6lYKamVlJUpK3JRWVsZJe4ZAADKMJ554wtQmX81vaz+w6DxjHhWL2lq2MbNtgn00d+vGmQlgsXKDGjSV45qaarNTh2lbtLay6Lgb1dXunNnZszXqpwSjoxcjBmU9Xy/JJY/NnDlLub7sA98zRHOh+/v7qc7CMFhJO7cTY+FC6dRPZdJ4H76I9+GLKEXYockciizFZyTwVeKIgjoYSmzlDPWxkhVraF+fnTWopc/U1dWbrrVnj8wJ3rRps+kaWtk/wE5TZ9FTbe62582XiXW/GCejnq/N9nzudjKj9OBBWcpsGPJac+fq+dp87+Vu09q1T4pjzJGYA3s+Te9gyhR71RlWjSduBtqFALNxPmnSJDzwwAPYuXMnfvzjH+PHP/4xdu7ciV//+teY+MeaXTfccAOe//znx97YPxVYqVsaPWjcuHFmIYv16yXV8UId/NaFjUW7fMH3F784eP6rrgpy3KPn33YbsH8/f285lJSUiMWA0W7zoeWuMbA+0iinVkO4tbVVjM1ixoVWdoXRjq2lPjQxNYb58/XSU1wbwGaEaV75GTOkx1ervR6o3fvvqf2ezcpNYj406hoDo4pmMu7rs37z6QdYWTI8b969sWB0Z40Nc+KEzQnE4MvXZiwmDVYRJAbN+K6qqhF6C8VsavV8bdnPmpJ+ccrLYWg0eIA7wLU6xkzITwcrl+UeG8WIJmnst0Kh1SWuqrI59Bi0vQyDT0iWf1+2Nmm0cmZcaOVIe3p6RaQ8bsfQ3Lky1UsDY79Zc8qte0wf2DvRWEksrYtVZsmhs1MGGoppk+YwWLFihen6zElihS7aamemsGe2VkDQ0tt84tQM0TZ1d3djYKAfTz2lswcvNhTNa1y0aBFuvvlm3HzzzbGX8BiFbTLWvM3l5RUiOqNt/IsB+4DjmGiKQWlpKVIp97Bmk0FnZ7vz/KqqLvzyl+Fj0bz1pibg5S8HtH6rqqoh/aBvLKzCfawfduxwL2jMGLGrHPtgy11uapJ5VHHSr7WIgwu+HKhCoInTTJ8uo1GawyAOR1mwoLlz7JhhrVHCrWBsFZ/xYFVzZ9CMhauvvkYc075RZpxbqfw+xgOLSM2YMct5fhwUVVY9IIeBgX5hDFtF7nyYNYulxLkfTJvjGNgz66wnriytGWFxGMLbtrlzvu2RdtfYcH8PLBday122z5N2NlmUPeNz2B04oEUeC4OWo87o0XHvh9k70SKqbI9jFU7V+qGsrEw46DRnGwDs2TPyvHlt7uY1xd0Og66u7lgCDSzlIAcWMdYMVQYr487HkurslAxYxtAsFizFVnuvbBzb17Assll/WdKLDUX1ytGjR3HvvffiyJEjYoP3pS99KZaG/SlDiyxa0dV1FmfP2kuEWHDllVeKY1alzGIRXZvLysqEgns+gry/aP1192xw4409APy09+3bgePHlylnBBNI/mYiML5t/aJN1iz/SZvo9u/fDyAcgdEp/vbNFIv8Bc/NjZ4g1yy8OZ8+fYaxrrP7HbEFM6BX2nLzk8kUXGuBdXFhNWKDfDw+PRdXb95GwV6/fgNe8IKw6rxGK7e2iRkS+/bth/w2hxGN5sRdSo0hYDxwhw57Zr12r52KfPToMcyaZaf+heHumyVLJDOgq8udwtTe3oF0uj60Rvmow1aBxGnTpCEc0GwLz/3VyjQVgyBVZbhvA5XjQQCutdpGabUKFbJxaU1v84GlN5w61QyAq4sHQYLwe1+z5nLgv+NrUzQyGDi3CktLyyHOsmJBFLE+cg33+XbBOf49aHobQb35cN+xaxSL6upaRLeogb6H2/Hd2ysZjg0NDaLizTBGzpIKasG7dBvsa6g1vWH//gMAwsaqtj5Yxx5jbficvadONWPatOE9Z0lJCWpqauEmANjaxEQe161bB0AKxgL8mX3VCy5UFm/cMIekfvvb32LhwoW46667cMcdd+D3v/89/vVf/xXf/e53VWXOURSOq66Sxm4Oz3vejaZrnT3bJT5Yn1efDX5tQTtXZdaKQeA9s5ZSc3/tTC1z0iQeQWxtdUeQOjrOCnq0L7+O9cPs2bOc51sF6VhkPlhQCodujJz7idR3/yhY5MeaGlFSUqKWILKyDxhdb+PGzaZr+CIjnI5qW3it0UBts8Hy8q3wKdRbxXpYnqWVuu6jMlqdpEzU7sQJW1UG7T1UVkqDzrpJ9EWdreOMVxZwg7V3yhS3mBpz6vjmqcCRGYa1zvmCBW6a7cKFUvxTe28s79KXzmONnJ/ruZsZO757RtWg/bRY+XxaKT1Nb4HhyBFJpc0XSy6kPb45gUXnrf3mS5+xIJMZMlPCGbQKQJpKOQNL57FqbfiElX3MlCjY3B04oAuHlkZSzPfDEKcgIEu5s0a0fSXteArFyIWhLzSYjfPbb78d733ve7Ft2zZUVFTgpz/9KZ566ilcd911ePWrX30u2jiKmOHbTDEasUYR0miQ5xoTJ4Yn8b6+PnXBZiw4jRl35owULmpstC0cLhQzkZaWupUy+SRom7Q0Y4Q5aPQ6nHqOL4dsr1Z266qrrhbHtLHKlUCtXno9X5uV1NPz5k23p/CpfltLMLLftM0O27ho5Xh275ZzhvU9+KIETChMM+jtdZ1HrjhfTL62VpeWzQ+aSBAzLvT2yGf2feNs06ulC7CaxfaIpjsFwidexRBHeUTmCMmhv1+nBReClhbdqRHNka+oqFDfhVY1hoG9DyYGmMOcOXJc1tXpqV5WQUfeb+79D6uxbNU8sc4BvvHI9iBWaGmGTORPc/R3dHSKQEMx85hWdouVSGVpeDn4aPUSrE/jNfDYM2vCymzsadovvu+9kDal02l0dLQ7z1+5UjLZXMEpIJ40Et867NL6iKFw0wUFs3G+a9cuvPa1rwUQbHR6e3tRU1ODT37yk/j85z8fewP/FPHYY26V4/Xr14tjOiXOvvO/9tprxbHBQbfBy6IK5wu+vO2R4tAhmQOtCfXEiZzAYj60MjABfSiMOPNBGxoahePGtygzOpsGdj1rTXGrQr0P0eh8Op2mkascDhyQ7APWlzrcK83YsdIQ94m0RJWaffewbjCZt1tj28QBH+OBiRoxg2AYNioy8+BrokWA3HhEy1vJ+6s/C1x++eXimCbuxKLUcTsYWOkdTUwtDmgRKiaAVVy+thvMIXL8uLuyBRMTtauE62B0Ue257AaPhLXU5syZTG+geJSXy7GnjQ0m/sYEO4dhsydOOGoAAQAASURBVAjKyysEc8M3jzFV+2JSm1xg64mW3hYXo0IzVNm4ibOkXWVlldAr8GkmMMMzzhRU5szWAmms0kJxfeMeS+z5GHVdg3WsMt2hfETHTVB5pgRTpth0FS50mI3z6urqp/PMJ0+eHNqIFuPJGYWEFhnp7JTeRj2fyD6Jsw/89Gl3vUVuIM0y37cYcO+rbYbyeeujsEeDOXwTKSt7YaUWX3aZm6bHJ033eBkaknQ230RqTZFgrATtPW3cKDe1cWwq82Et1XT8uGQfxCnCmEzK6K+1pF1VVZU5JUBbZJmRZy0D46ufanXEbdu23XS+FSzi5HNGRTdbxakc25wqW7falMO1mt/WMQPwsckrIORgW7PmzbMp2jOBL2bE5cO66WXiic3N7v0Ru75Osbav61GHYn9/v6cfJLRvkK1X/clyLMV2LMV29CLsiGJOzGLUmzXwdAE3gpz6MBobreXYtF8TwsFtVb8GgGnT3DoU1nWdpXodPmwQeQEXD8wHE2LV1hOWGmAV29SuX1s7RhjnvrmbpWKNGVNvapMG9nws4DJ8vj1f21qjnAn5acEpqyE+e7ZNQA6Q30uwJiUp8+Bihtk4v/LKK/HII48AAF784hfjPe95Dz7zmc/gDW94AxUGG8W5h7bAVlRItXbf4GfReetEYy3ZUCxaWmx1UZcvl95JjerKqTLxuI61vGVAp30xWCdGq0jM0aPHhHEeiCLZoBmqixcvMV2LCQ9a0yx8+drWXE0GrS9Z7p32jTLBLqvxkEwm1fHC6tJqYBttTVOB3Xvp0qXqPeJggWgOA/YOtc1OMVTk6D00RhLgqkvrBtvM6ekLtg1eff04c7SIGR/t7bZ8bY1mG0fupTWPH9ANEo3hxGGjRzPj3zf/R50k2WxWFRZj95861R1FZiJ82UQSO7EUO7EU2ch2kxni27e7afAMcTNPWD9o5Uitc9Lg4KAaMS60TVp6m5ZOxHD0qEwba252B2NYe6ZO1UUr4yjhtWuXTHfRoKV6pdODseTNaykSLJKrfaMbNoy8hLFPWJLt+fTa63LsNzXZglPauh5HJZ7+/n5kMkNobR15+seFBPOb+dKXvoQrrrgCAPCJT3wCN954I370ox9h1qxZ+M53vhN7A0cRBvuQtDIV9fVjRXTGp+rK6DI6ZJu0kivnEslkUs09YYZ4T48119SO6uoasZGYPNktWgQAR448JY5ZDfC1a590/sbobL42WcEWF41ma60pbgVzDPgEefQIsATrIxaRyWHlShkhY06kHIphBkT7oa+vT92Ys0iiL7rou+dIz7dG+fjYcxvDrLIAL+sVwLpZZGCiQflgESdtA6alWxQKn1ClRLzJfozyro09awkv9n36GElz5oQjPIlEQhXaiyP3UhMWY3nKPgHEOJyMg4Pu8dXba80Ht4+b6N7FNycxoTDrfbW+ZLW0tTzhoaGMuYY46zeNpcpKY/kCAYXccyTQ1r9CoVUAmjdPppFoAm9nzrQK47yYvPmWFrfjhrFHtYBIHKXAihF7jvN8JmCnaSocP870hPTvM9qmgYEBDA1lzMGsCx1m43zOnDlPe+aqq6vxzW9+E1u3bsVPf/pTlQ43imcGQ0NDwkPty2WzfpClpXKB4h9d/Iga4pWVlSp15+BBmW/W1+ee9Gtq5EaxGOGJRCLprck6UvB8bbcxwryis2drOX92EZXJk6X3mOc/B2DOBHsJL3ebWMSJi8QNgxt057YvUyntG7X3Q3TDNjg4qH7nbEM6a5aN3q+BCf6wjXQ+ohGnuOtrM1VkXYDKLgYV/d13Pru/PV9b+x5kGomWttPa2irKp/oYONb1hOWWsrzbHFjtXivF0ddGZvBYBRWt99eccO3tciPKSiuNBPPnS2eVlq+9Z88+cWzejOn4GD6Oj+HjKIXfceR7b1FafXQsRuGvJGC7fyHnayrkxdyTBVO06DvTALJG0zWMGVMnAg0slSsfrJJAVVV8miTM6R6Ho3IkYMailQmlzd3MGaeJ5wJybKRSqaIEMl1gzMegPC4Hc7iUlBRXAehPXhBuzpw5VD2yvb3dq9w8isJw6aUrnL8tWWKj/Z4+3SwoStbSUQHcI//b37bl/J1raB8pKyminc+84NYIIhC88ygNVttw/rFl4giLdudw2WVyU6st/CwXNM6SK4BeCqRQVFTEt4gzKrJO4ZPvsKSkRE2FYDR5LVqzbp1MI9FEFlmf+gxVXovaPf1rDhTeJtvKyPLmrSkSmmhR0CbT5ejGxkqz9ZXjsYrksRQNrQ659ZkpFVm5RiYjf2SG60jaxM5vb9ccaHLsLVu2zHk2iyIWUm8+fH7WHKkZN869Mb/88itM12IUTl+ahbXGdl1dvalNDI1j6/BxfAIfxydQCnsKVBRRY9zH8mPPp7Fhpk/XxN8kmBq9rkkjx6pPx4E5STSwNTzOSHg2mxCBBisbANCrqlid3ywYpFcbkNf3ibayuVLDjh1SHLStzb2uWtfQ2lq7jk10HCQSUgNBO98HxsbzscOi8JUEjtspf6HCbJwfOnSI0i/6+/u9okSjKAz19e6Pjm+ybbDSQwF/7cH3vjf87zjVRDVUVYU9uL29vaqgXiLBZhv3DMTykhYtWlhw+3JIp9Miil3MgqlRWktKRq4cqkUvrfWEAb2kEb+HPKZRtRYtkoI/2ns9csQmdMOQSCTU8W0VkGNGKYuMafDdM47NGVMyzoF53ydNco8NTkW2zRk+Y/6SS2S0SOs3VplBA7uWT/jPV5td3kMeswpIXXrpcudvXV3WFCYJ3+aLMV809tajjz4mjsW5nowfr+dlMjAjkDkqNGiRbXvupXwf1hrKpaWlKsssjv2cNjY440LvZyY8aYX2DXLhMve12P7Ax8SKgtcx1+9h/R40UUhW+lOrM97T0y0CPMVQwrUUI1YiVcPx43bNiCjYe8hHHIJjhw/LVEUN2tzNBOz863x43KTTaTVYx74Hbc548km3gF0h7QH8z8C/l2dZ2BwG4/zee+/FvffeCwC4//77n/73vffei3vuuQef+tSnMGvWrHPVzj8pHDzo3iSyWsM+pcwofIN/yRIp4OD7mzvuAIpwno4YUSGSoAa1jcqmYcMGJo5nRyZTgk9/uhT5wQ3fO2X0OC2vj2sP2Gq0apgyZYrwmPsottZcMx41cxuqzFmhU/hGTkVOp9MYGnJvLJiaqU+4yIJiNglajXIO+Z6GhtwvijF6pk1zR6FYLVOrA4GpbueDRaSmTnU7DOw1i+WPp07pm8Tohiru3E4mvqNF5jS9kkLhK5fFUkk0BpDV6GXYsGGj8zdm7OhRPHu+NlNx1uZuFmWz1tf2IRoxTqVS6t4hyhYopk1MNyUHxojyMQPj+F5OnHBTsJnjS6Nf2xlDKfNasGnTZtP5rE0a/Z85drVypOn0UCz50dYKQFant4ZEIinmAd96Yq9GZRsbbOxrLM04qmNls1mV9cCCL1YmhxW7d+uCvtHofGlpKRKJBMaM0Z0rFxsKNs5vueUW3HLLLUgkEnjd61739L9vueUWvOY1r8EDDzyAO+6441y29U8GWnSPRa80Cl8xYJGOQpQQy8qAnGhzHHTmQqCJWhWK6mob1XTHDnuJpqGhCnzuc2X4wQ+Gj/k2Gowie+yYe2PBqJ9xjg2WN1/MApFIjFyhMwcWgY3b4IlGvAIHkPv8LVsk+8CnZivhXtjZppZt7vMR3Yj4SqpYjRF2vp4iYTcuotFWXz+zSGJlZXz1tS+5REY1mPJxPqLUYx/zxKovwKjI+/fLXGANegTJ3m9xOGI0jB8vIyma8XDypDQKfCWIrN8Dy73ct09WNMiBfSsLFtgZWhb4nIxW8Oi/+x2xtcOXIhGFfw2V2hYaW2TnTjmPWiuIaG1ixnkxlQKsZSU1sG8lDlHgfLD9oPaeWKTfmmahOU7GjZsgnJY+VgZjRGhORmsaCVubtPQ2hrjX9ZYWue+3pynp/RCFjxEXTT+rqKhAIpHyzuEXGwreJWcyGWQyGcyYMQPNzc1P/zuTyaC/vx979uzBS17yknPZ1j8hnH/hsHwwb3ehOUUf+xjQ3o7zxqJoarKp4jIqnS93NYpMpniv8d/9HfC1rxV2bhyToLbRtgpLtbS0CGeILzeZPYNG47v22uea2sTy+/R8bfmOfIIovuoG8h7ymBZ1tkZf2Ldojf771HtZGRgNTz4phfw0Dzh7ZqZ8nA9rTXAmmsT0UobbJI/F6Uji99D73np/pmPR2alVo5D3X7jQbRSOGTPGTM1nbdJKYLJ+0PJBOU3d9k35ov9W2COLsr2aMcK0C/yl1MKb2sHBQW8pvyi0sbF0qc0RzFKefJUxmP6HhjhFx+JAJpMRUWx/SS/Zr/X1bqPQnhst8+Z37tQqUcj2+FJFZsywiUWfPSvnLJ82zLmGdX0oLdWFl6M4ckTOk1btF13Q166pwPZSvsh2FFoqbhxOpmCuzarprBcjzDuPpqYmVT15FOcfu3fvcf42ceIkoZjtq1Pb1CRp9YUaEP/+78Bb3lKcQEh8cC92bJOXTrspXzxHfWR45zuBgwf99bXZomnFoUOHnL+xiVzLW+/v7y9gIzEyMEV7q/GqbbTZ9X1Rbe5R19okf9M2nYyKrG2wiolEWutrs3xxvR/sCvJR+JwkUbpzMXmOWj4oM/5XrZJl7nKwRjVYm3wlJ1nOoaYGHUeesKZwnUyWiAhpMVOC9W80zRO2kbeCUbjzwRyKmnOTVZ2wzmNaiTiWE+xTK/YpmxcCzRixRgrZ/ODry+jY8+UJ+/q1EGgpEnPmyBJekya5HUlDQ0PmOufsHfb3u/OE2ViNN0VCnu9zgsSxH9TmNhbBvuyyy5znt7W1xULNZylsw/eXa4c2Z5w6xdYC25rrm1etYpi8ApD7vbGxxPLWcyhm7o62qaenB0NDmWed5llBLvA777yz4Au+613vKroxoygOukprQiza1kigFT/6EQDYvIYuvOpVzfjJT9ziJNFnKy8vR3k54KqAFKhljiPHRi60Z8HcuUBbm+4ksRrC7PSAMjeLnh9EwcObnTVr1ijXtzM62GIUlHDjnv+NGzfhJS8Jq85HRf/8bbKJtQWGqnsqbG1tw9Sp584hyTaYrMTVMOyLchRBCRP3xjbIv6sPHZs+fQZc6ZrWjTmjoAV58W6nxOnTpzFp0vB7ibs0oU8lNgpW5szaD8WU+xk/fgJcQSRrPzAa8caNGwGspuf39PQgnS4LRSzHjXNH8Xz3Z1i+fIU4FpRL4+M12JSFI7px+xCjOemByrE7XzsOhfog0s2/h8CwCN9/0SJ7vrY2p7PobMBU4lHQIOUunI9qzQP1vbeokyZYI3203MJTirjuhLtRLCd44kTN6T7yuRvIlSbj/cD2OAsXLsDjj9vvwxDsscLPEejCuMUwd+3ajZUrL4kcjW/+njlzljimOZK4Ya63h/WTtcLI3LnzsGFD4edb5+4gUOdmt5w6dSoUoEomkygtLYNScdeEFSukMzkwwLnjPWBQxVPK7VwE0p5JFGScf/nLXy7oYolE4pwZ53fddRfuuuuupyOBS5cuxUc/+lG86EUvOif3eyah0UA0tW6GtrYzaGnJhtgOgecrvo3FucIf/hBsyDXjPIpUKgWtMknACtA3k/lg4mJx2QQvfGEagE1hXVM5njHDRlkK8utGlpPuGyssjUDzvLKaxWPH2tWVLQii2m6Rk+gzplKpPyq28/N53qSmEi43vEGEl9O47cJlXJRLw/79BwCEPf++fDYL6urkswUMBbdxHn1Gf83YYtTfw99XwF6RzAbX9ceOrVfvoX2/DLt27caSJeGKBMypprVJA9Ok0MZSf38/hoZSIePcp1DP4W4nc+gF83bhtZpZCUzt3r7vp6OjE5MnD1Mws9ks+voGABT+TWjGvFbeiyGICLsjUgzWdX3ePBkVZnWJc2B12WctuhRrELAI+hBmfFgdqwzBPFn4eg4EeyiXiLx1jgtKeIVZRkF1ERdd17554E5DbT05gug78TEMLEilShHNJgjKCtrmgUmTJsNFPrIGAoKxF+67PXvchiq7vk+ozzrPbdiwEa97XTh6rzuTbM/M1nTfNx7sr4b/LpVKeeuKS7jbWVoqv59gn3k5PZ/1g28uvFDsk3ONgmjtTU1NBf3Ply80EkybNg2f+9znsGHDBqxfvx7Pe97z8LKXvSwW6u+FhgUL3IbC8uXu0goMAwODIrJurc8KFLsBKw7Pex5w6hRw3XX2EjNBHp0tGqV53FhNxfnz9dzYfKxZA7z97Vx9f+1aX+TcRhFiHnudsiSvv369wa0Lf86QNaeRQRMtYrlu2jNrVNFCkUwm1c3DmjV8IXLh5EkpCGQt6zV3rtxI5yOaylIMJVynYMv3wRbqHKzUTtamYhxD2sZi/XpZmUEzRvjGQlcUttY5Z+VyNLVphunTC3d4+CGfmaVZ5IM5JLTvh6ULWOcxjR3GHNy+98C+Ues6ozEzGFPGaqAcOGDbfwVq7e71lRnbOmR7BzNZrMcarMcaZCIBARZV9/WDXTyN5Wu7tSsYFVprE1P4tvaDL+DCovM6TV0e0+j97FrJpDtul04PCpp6MeuJ9jdsj6U9865dUsiPOfo1TJ6si3NyNpu7TSyNZOtWm5iwVn6RoZi65Bq936ptwefueNPbomm6Ac6tTtczgRGp3QSqxefHjfHSl74UL37xizF//nwsWLAAn/nMZ1BTU4MnnnjivNz/fELLmY3Wygbi2WDlgxk8Wp5jnHj3u7N44AEgNw/qERBg9uxZoX8H9cTdVCNrnfMDB6TCbqHq7p/6FLB2LZBKxfeNaH0d0MVHBi2XbcyYOrGZ03JBAf7+NHBqvrtWLlM01kRP2IJp3VgEkUtN4I0dsy0e2vlsQ+0TeIsKyxQzbWtOPRaB1UraBbTMMKxt8onlsMi6FkGy58xK+HIro4KKcS+fLF2AqZnnsGuXJvxUGJqb9bx5VnpHEzvjuZc2MKHIHFgE21eO1PpNW9ktvndYCJgjJx9RI7CsrAyplJvJsWXLlhG3aePGzc7fJkyQxg7feA/DmifM3rmmRB6nEjVHQqiE+zWADhnvIaGVeFy0aJE4tmLFCuf5/f0DsegXaOKcbO6uq3MHAopJuYvCN7aszirrWGLGv+YwYA5DH1hZWC21atmyaCoCTyHIgWm6WN+D77lcc3Uy+ewy0Isyzn/wgx/gkksuQWVlJSorK3HppZfi3/7t3+JumxNDQ0P4r//6L3R3d+Oqq65yntff34/Ozs7Q/wCElOYvxP+tWyfFZHJ46KGHxPlaTcpslj+vhkWLFovztRqt8SGDO+7IABi+r69meTKZND1bJpMV56dS7s/gzJkWcf5TT7lrt+awdm0Gt98etL/Yur2zZ88R99bK7O3bt1+cr+cus7HhbmtVVRWy2WxkXLgji8H15fvWEL2+zxDu6+sT52ssj2w2Yf4eqqqqQ+cODAyom4GNGzeK62sOA/aNak7P6uoaMiZ1RkBn59mC+xng/aY9c1lZuWksBfewnT80FD7fZwjnqgvk/0+rFADYxurUqVPF+du2yTJ6+Whv7widX1enM5Kiz+xr05w5cs7QNsH9/QOmsQfI78fnoGffmxaxtX6fZWVl4vxTLt4yAtpx9HxtwwnY+2HFipXifE1AsKmpSZyvl2mS/aAJ+QEBmyB8/pDad/a5W/ZdMj2A9+Kf8F78E0oRNgL6+/tNzwzIfvA989ixY8U9tM3/unXrxPm+AIFlHgvqMY8Jnc9qq+ejtbWVfD96WqL8Rt3XTyZTxrFkH3tsLGnz97Fjx8X5PrqzZV6qra0Vf+MLJBw6dFjcQ2NCsb2M1g9Tp04T52sCpmyeLKYfNLB5j7FJh5/Z1g9lZRVk7tZV+U+dClcLC1hSScycOYu+E9f/WP+cr/8VAltNFABf+tKX8JGPfATveMc7cM011wAAHnnkEbzlLW9BS0sL/uEf/sF6yYKxbds2XHXVVejr60NNTQ3uueceLFniFkH57Gc/i0984hPi+OnTp9HXp3uZn0lonqyhoSFRUmJoSMtjzKKlpSVU1qGlpQOAm0p17NgxlJWFr9nZmQBw7suSNDc3h4Se1q8/Ale+CgDs3r0LM2YMP0tgLLo34MlkQry/8ePHw8XYTacHxfknTx4H4Da2jh07iWQST1+zr684x0Z3dzeam8PRSo0m3tfXL9qq5RqzsaTReLu6unHq1NlQ/2zefAjAlc6/6ejoEPeorq6D6/ObPHmyOF/b7KxduxbNzeHo+dGjg3D1TzabEdfX63EH9M/8vwmiBm6HWEvLGfIMbirl4KAcY/ockBXnP/XUMWj52mfOnEFz8zA9Mnj/7khEOi3Hhrao7N69B83N9aFj69Y9BYALDLJn8OVjR8fr6dNnkJ8/F8XOnbvQ3BymR/b0jIFrHuvrGxBt0iJElZVV4nythjIQOAxSqeEITHd3EpogTkdHp+l7OHXqNJqbw78fOPAUXPP90FBaXH/GjFnO65eWlor1hJXEysfatU9i/PjwNc+erYHruXt7+0SbNGN+0iQ5Z/T2uqNcwTwZnpPPnCkB4NYwaGtrD90jYA26v5/e3l40N4ffiza3Dg7KftDq9maz8vvx0XgPHDiIoaHhd97T04PBwelwibd2d/eIe4wbNwEu33Rj40Q5Vvt78E94PwDgG3gbBvM0Vo4ceQrNzeExcOhQLwC3EdbScgbV1cPtDd6xu9+qq2vIfsn9/bBnzmTc32cmI9cTX2Q+ev6RI82Iim/mo7PzLB0bLqJcMpki85h739DUdBDNzeE0kHXrDgO4gp6fzWZx+vTp0HP69tMTJ04SbdKMtj179qC5OfzNnz1bDZcoJFuvtO8tmUyJNK1A1M6Ns2flXFxS4v5G2Tym6e0E+4ZwP23btg/AtfR8NpZYPfl8RMdrEGhwB3Aeeugh3HBDmFlx7Fgarr0G28tojIQJE8ab57Fjx46hpia6F5mErq6zaG7Wg0U5ZDIZdHR0IJvNmlNnR4pCU/rMxvlXv/pV3HXXXXjta1/79LGbb74ZS5cuxcc//vFzapwvXLgQmzdvRkdHB37yk5/gda97HR588EGngX777bfjtttue/rfnZ2dmD59OhoaGmKpr3euUF7upjmlUiUiGjo46PY01dXVYd68mlAOXne3vgnev38/rrjiutCxRIKVk4obWTQ2NoaMv6oqne5XVlYWeh+Bce6e9FetugzRYHJpqTsiWFJSKt53WZk757Ou7ilMmhTOExozpjgKWE9PLxobw9dKJNyR8/LyctHWTMa9UVi4cBEaG8NTgOYJPnu2C+PHjw+JQY0dqy9oY8bUiTZVVLjf99y580T/JJPu911SUiau39a2Ay7jPJFIivNXrtRz/saMqcO4ccPfpI/SV1VVLe7R2noaLkNy8uSp4vy6unbn9Xt7e8T51dXu6CgQUFrz/8bnm1yzZg3pB7eTqaurC42NYfpyIuHOc0wmZT8sWaKzPCZNmox8Bmh/v05jq6mpEfc4efIQAJ4Xzr6fhQtL4cqcCp452g86g2H8+AlobByOlmsbeSBIDWhsrA8dSyTc38OBAwfQ2Bh2lpWUuCOFbD3RxNcrKipF6cH6et35WF0tv4fBQfe8UVFRScbGRGx3pGuWlso5oLzczW5KJBLi/Mcea4Jm5E2aNCn0N9lsFiUlQ3DtO0+cOCm+h1TKnYbB1pl8J04UU6dOE99nba0+B0SfO6g24P6GWL+NH+8+f8KECWhsDK+9mu4EmwM6O/Wc3PHjw/NYba0+d5eWlqKxMbzX0+axsjI5BzQ3H4bLkTRhQgMaG8Pjpr7e3Q/BuCkJVTg4fVrXZamtHUPGhrsfli1bRvrhuONsoKenD42NYYdIMqnNYwk0NDSE9pQDA/rcHYyNyFUS7r1deXmFeOYDB7YCWEHPZ/PYwoVuo6u/fwATJkwIGWZ1dfpeprZW7mUCPRzOYlixYqUYeyUl7n304cOH0dgYrlSjzWOA/H4ULWkAwLx580P94NvLsLm4s3Ov8/zgewuff/nljbjvPn4+67eaGj1yHt3L5BzinZ0daGx0ByjykclkkEgE4/h8G+ca8yAfZuP8xIkTuPrqq8Xxq6++2ixUY0VZWdnTCqKrVq3CunXr8JWvfAX/8i//Qs8PSj7IxSGZTJ73DrFBb1u07UH+Jv8qKyqqUBtxNvpK3yQS7P2c+3yOoDxNImSc+8olBX8z3NbS0lKUlmadpSGCvg8fa24+Cdf7SyTk+9bblBbna2kHGjo7O5FMFq7Azvpt+/adcHnAS0vLxLvQmChAQnw7vu+IfWtBigR3Apw4cRLJZDjPypdPZumfxsZGcX5pqf4Mhw8fwYQJwxtt3zNHxyTAy27lMGvWbNEPCxbIPMAcMhnp7dXKxuR+z/+bri53aarh88PHxoypc6oc58ZGoSgvLzeNCyD4HvINVd8z8za5x8bq1WvE+ZpYUzBWo7/75qtwPwSsDXc/jB07TvTDxImT4Xa+256Znd/UdBAuB0ZAmwz/jU/hmq8nbkyZMtV0/sGDB5FMzhX31BC9vo9qOHPmLNEPZWVJuKqYtrW1k3rwtn7YsWM7XMwT9n1yAcTo30TnblubOjra4YrytrS0IJmMRhKtc7febxMmhDfTJSX6+QcOHEQyaSvhFW1Ta+sZuKL5DQ2Noh+WLnVVdwCApFgf/HO37IeAmu+yxBIi/3bcOL2yhaUfUqkUSkvDYynQ+XH/TVPTIVx2WXhO0b4H9sza+cuXLxf90NDgdhgEkf7SyD18e1zZpkAfigfT6uvrRZvmzVuAvU7bVl7fOo81N5+Cxibr6+tDMjm8xgaVZ9zBrGTStp5MnWqbu48cOYJkMlypppBnzr9HjoGRTg+a7p0bY+fbFiz0fuZWzZs3D3fffbc4/qMf/cikYh0HMpmMp8b3xYk46/f29vaQ6MyFKZyQTCbNzx49vaysjDpkcthAikxqauDTptnUMhmK7U6rkIZWD5yBKZePHeumXzP42sjqind3u6lHLC9TFwmyCS9VVkoVZ1++diH3tP0eBoue6u/VXgqqNuKh8+V3MzGoOEvaTZkiDYk9e9weeUAK8vgrSNhKNbESeEy47nyC5d/5nRKFg+Vxajmw3d3dItpiVRQO4O6HmTNl/WamxpwDG8ua1kYxpQhlpYCs9xuygAkVasZIUB84jLgrqqxeLWvdnzzpjmqx35Yu1Up12hfGaNQpqKHsButXn3imBZp4b1yYNEmuf+m025m0ZctWcUyr8sKgfQ+lpeWiH4KScm6wNU5jr9qF+eSxoDSn5fr+QJDlb44ckVFv69jT3gMLsrHqAfk4fjwcQC0tLUVJibtNVqG9SZOkgN22bRobhlVTqFfvYa3acrHCHDn/xCc+gb/4i7/AQw899HTO+aOPPorf/va31GiPC7fffjte9KIXYcaMGTh79iz+4z/+A3/4wx9w//33n7N7PlN47nOvxc9/zn97znOuMV3r7NlOtLcPhShIeh1ODp+iaDzIIpsNT4JWw3ZYkIVTjazVBaZOlUZEQ4PmhZbXD5SD5YazGEyaNAku0ezFi5nH3v0CWW7P4cNHYKmf63OmlEQLohaF+JxJnZ2yHquPWhy9f36+LQNTkNcWuR07diIaIQs2WFztnA1hX83vqDq27zNguXFBtKHwqg3Wcj++fo7+jW9OqqqyaWTs3r0LQFj86ejRp+CORMj2airHgD8nMIpg0xtNkWgD4HKiyTaxuuE5cKNQa9HIDdvgmLuvAzZB+D1pxgi71tSpbsYRc2L6nmHv3r2YOXOYPRPUOe8HULhDdNq0aWhyVEhcuJDNGe5rBTXWw2hpOQNNS8bedyOfdzUdCbZ2FFJvvqJieGwUoxo+efJUuGzJJUvkGqqN1UAcNtx327fvAKBFz8PwlY6aONEdCS0UfX29cI9VWz8Eegvh/vMZcex6ZWXutYQZaP4SXuFyosG+S18X88GcgvmYM2euOKa1KZi7w/PQsWNHoWnDRKFRoJmhX4yhGmeFgvZ2uTZZVe7ZnjsfURHVXPtjjGleECjYBb/9jwlfr3zlK7F27VpMmDABP//5z/Hzn/8cEyZMwJNPPomXv/zl56yhzc3NeO1rX4uFCxfixhtvxLp163D//ffjz/7sz87ZPS9EcC+XraSLvxyJ/Jva2ni98gyZjGyXb8KcMCG8GRkYGFCV5dkHrNF6AhpfGD76YBTsuYqFtqDFAa0OOFsMfPW1rVFpNl7PnHF7wFlN8Zoa92aHRwVtGwtfxEyro1sorFE5XYVcllkqZhHXagyz6M68eW4mVRzlgXzia+z+2sairU3POSwMNlaFvx/k9axsMe0bDWiQI4OvL1l0XmM3Bc6qkUGLqFZUsNq9+vWsziRee92dvuBTWS4EPpXjyspK8W+NhbF7925xzEfNjyJIkeBgwoMVFbqzIyqmFHd9ba3UYqHwVZGI3t+nf8SFymyOz9279zjPZ6KxjPGWQ39/v3BoF7OeaJVeFi50p3UxsLQx61jVarsH1zM1iZ7f3u4Wn2VlDZmzKAcmLGb9HgYGBtTSw+z+WmR7/35r6VzZD76SkNFv9NlqnBcc1rr00kuxZs0avPGNb8RrXvMa/PCHPzyX7RL4zne+c17v90xi/fqNACSlDMAfS/WEc6h85Xii8H3AOUZE+G8yKLLy3ogwZoy+WFpp2Fbs2bMH0Zztnp5uADwaFRVLGglYNJR5JnMIKPurQsd89Xuj0MZGXd1YWAPhcdD++vvdiwfL39HUpuPAwMAgXHlmQM7BEXbg1NfXw1KWVNtYsA1sYKi6I6TNzc2YOXOYERE3FYzVY9U3urIB1o1FMLbczxywZMLvccaMmU6VY34Ndz9UVUkn0L59+xCNpOWjq6sLY8YM/51mpAb397cxH1dcISsnsPeQQ0BFjm7ObZtanyOJMRisTkYrvTJIkbiM/hZ8v+GNsI+ab+0HRiPWItsbN25CdO62wtfGqBGWSCTUv/FRxgu5v2aMsPNZdDIMm3OLpao89ZSbHcZYbo2NbpWtYlIkovu1oDKHez05dOgQgOX6RT3Qvh+mqxFlWvmuVcx6EqxZ3BnDvtHFi5fCU6my4DaVlpYK5kbgfHbXFQ/K2IbHjc+gt+CSS2RNce0ZAocEN1Qt0P6Gzd1aLj+Hbe4OWBDudJju7m6MHTu87uf2Q5MmjZxhciGhYGvrwQcfxNKlS/Ge97wHkydPxq233oqHH374XLbtTxZdXe5FkdWs9UWXrUilpEF35oxhRxsjomUWogiEraLQ6ozKY42NetQxir1uRQ+62S7Wo8fobB0d7jIMbJO8apV7w2fd8AZpB+F7HDp02HgNnY6sbQoYdu6UUTaNGVLMxkKLADMwtoDmQLP2QyIhv89g46D+VehfPso3b5OPihyGlofIru9zJEUZEb5+Y7mXOmz9wIQefQZNNF3Al47AYWvnli2GHS04C0KH3h6Wt592KXbCvsFk+gUa2JqhVakA7BFYppPR0mKreHLZZdxBH8A+j0XHXjHlZLX3xCLAA8kyXI/f43r8Hn2RlJgTJ+T8EEd0Mh+sRrnmTGLsIOZ41KF/D1GHQeC0cYM9o68efCHXyCFI9QpDY0lZrw8EqQQS7ve0caPUBtJru9vmxMrKarHP9c3drLypb96IwprqtXmz1H7RruUbFzzN0N2mgwdlHo42b1j3V2yt8fVltPZ7LnWmtlZPD7nYULBxfu211+K73/0uTpw4ga9+9atoamrCddddhwULFuDzn//8H9UjR/FMQMu7Kisr9UZnotAmhHML+RVHa1FGccotH03BlFS1vB5GedeMbY2CbYXmpCkU2sSo585LnD7dIgxfX84fu79G71y2THqPNbC8+V27JB1Tg1ZPGLALkLDfNQYB23RoC1QQVSj8fADo6wv/ziJK+bDmzTM6m1VMTReP0nOnC4V1ndKcKv70ID98GhjM4NH6YetWZojbNq4TJ7ojhVVVNWK+9H0PzKGs1SBm7WXU+Bys6xu7vtVwdl0nhzic2TqLyZ5m9lSkQLlv/LL7cyMrAMsVzSRSeBDX40Fcj0xEB4bNY9td9fIcbfLR4IvRtohCM9qYseP7HqLrejHriVaibv58xtxxP/PRo9JJEhUO82HaNL2qDBMv0w1V+duhQw7BBge0XP5sNkPmXnvevNZ3PNXMfQ8WaNDqojP49jIzZrBAnrtNTFSPCd1p0NKq2D7E+j3kctoDVumzB2aecnV1NV7/+tfjwQcfxN69e/HqV78aX//61zFjxgzcfPPN56KNo/BAM0bGjh2HCRPCRpjP2+dTfDyfKCbqrP1NNO8OADo72+03cYB5oadOtXreAzzveTX42c9G1p5tCg+MlVfx5S7HgSBFgoNH1OJLJmL970uN8Eel/dCUY9euXSmOzZ3rjtb39ZUikQCO5ZUR9y1o//mfNaHygr68LhZZjzNFopg+tebNs99Z9COHmTNniWPaxoIxaKxtOpbfibRN0ijVNBVYHr41GslzXN2IO1+baVuwPPEc2LdljaRFozFRRDe1yWRSVV7et09WnbAaI9q6zqpO+ITF4lA51krO+XKtC4GvTeXlYceQzzhnFSCsY4P1ZQ6zZsncbJ8OSxz6H5rjnpU2tFbBsc/dtmhnMTh71q0xwnSA5s9fQM4M0NnZFYtzVROTZXn70b14PtjaZB0bPnFbq4OBX0NLuZOBLk0EtZXkmFnbk/ue2tqeGXbvucKIkojnzZuHD37wg/jwhz+M2tpa/PKXv4yrXaOICYGyZni0F5fneO7VFkpL7fk70TWnoqJCnQyY95UZ1MPXY+/KNntokXkfXvlKYI9byyUEq7gGo3fq5RDtVErmydU2/4899rg4FmfJFeZ8YJTsfETVRs9F6Y6HHgr/O7oJZXjnO4FcUNJTphl33VWPD31o+N8+BdUjRyQ1314yyz1nMNqvJloEAB2RMgXFlURyt4mlkbDoXg72tBBbe1z31wxV6z3q6qRj6sABt4hXb2+voDXaab86Vq6UziqN8RBUHwlDY4YUs0H11XI/F9A22kz01Be9jML3zMxZ1eSSmwc3YqdPmoi34et4G76OEoTHcjHzaDQCqznbAGBgwCaeGMc37WP4WJ0kbOxpYphBhYkwli61MdI0lJaWhqr/AH5GEnNCalVPrGODibBqjqQ47hnAPV6Y4F1xaUwcbB1g63Y+ouKdJSUlat1t6zthFYNOnHCzMDiDysZgGP73OdiYPYMo2jh/6KGHcOutt2LSpEl43/veh1e84hV49NFH42zbnyxYnlQOc+f6BFPCaG5uFhOjL2r2zCFBPLzxfnCMYqndY8UKuVHUy4PJa42U6r4oT7hUi44sXrzEdF1GZ9PopsVsXOJQLrcbI24wb7m2eAByMfCVUmMCO753d9114X9rqvk53HMP8NrXAgMDesmiHL7wBeCOO7ynAQC++U1Gpy7sbws5n1Wd8M1LUuXYR+21jVdGbeY0cTdYHno+fJG+KBjVUXes2BxovPKE+72xDa/PSWItpcbOP3PGFnnT0mNSqZRwWPvGdjQHd2hoCIODtrx5TSDRl9IRBXNw+iiwVqOQGRLWNWDi2Hp8He/A1/EOlMFf9sx3/eg791VsYNdj6uQ5MLErrU3MWXHsmF7zOwpNMR8AFuVvAIb/ynk+q0gSZ3Q0m5X7NJ+TxJrexucxd5tY3v6mTbb0TLZu54MJA2rvla0d9lRF9zMzBpWvn6P7n2QyGZOT2Q2rfoFvHxvdfz9b1dpNxvnx48fx//7f/8OCBQtw/fXXY//+/bjzzjtx/PhxfOtb38KVV0ql2FHYoeWNMO+4nQai5ftxnGtVdAAYGkqLTZMvt668PLwxHBgYQHe3WzQtjg94+XJef9oFFtmxItfu+nq34AejbFvHxubNm03naxsdwB+VlmDRf3e+NstF1RYb68aJt0kfRBolXb1LAk8rure2thf0N//zP8BNN7lVjh94IPzv974XePJJ/3WbmsbgnnvCx7RFluVAjh/vHqvcSWaDj5bIa0drefPuiHGh8G3wooZsMZRwVkJHw4IF7vHIyrJZKa0+QSsm8qgZJJs2bSJt0r45m0OipmYMcQLr3zSbw63vSRPa4zWLbc/MKNwafE6V06d1MdYoWHu1PFDGYvJ9D1aNGXY9Xo42wKxZs0zXZ2lYWgoTa5NvDY3DsA6qSHCUl8t9g1Yua2goTfaQ9o2VFtm+7DJeacEF5mC3fp8+MVqeTmRzMh496k5jYv3GtF9yKC6NJHyPdDptFmxjgrQ5cL2qeK1mlybKn6xx/qIXvQgzZ87EV7/6Vbz85S/Hrl278Mgjj+D1r3+9oLiMYmTQakNbF8xiwNWpz30ZNZaLPH26TtWLRqoymYyZzqTVOd+wYb3pWnwjGk/0/zOf0Wm2xSinR6FN1PX19ULh1Fej1b5oSmgK9Y2NMtKh5ZoxWD3HvkVx7VoZRdA2hPn4278FTp/mbfrgB4H3vldSFh9+GPjoR8PHGhqA48eBri45l1xxRWHP/IpXAPl7Ok1hm3m7p01zR5F9uXEM0XHjE91idFAmTKTf05Yn7DNUrSkS1qgzy3fVxKN4brTepih8zoIpUyTtXWMQaKUTGVh7tVrp1qi262+0TSfTddHmDRaBjTt9JurY97FtDh2SWhvWufLwYbd4FHtHvnztOPLmWWQ5BzYv6e/JnuoVdaL7zme6MdZ+6O11s22YQ4KlNOSQyWTFWlDMPKY57llair2KhA0+tXaeN2/N5XefP2eOzFHX9KGs2iAMPgc3Y1Zp4pzsetZv1ForPTdWnm12aMEWV2lpKX7yk5/g6NGj+PznP0+jEqOIB1rOH9t0MAXyYdgXD7aZskZr4sLgoJ8KJ6E9oPxNK8HADJKdO92KslYFdAs+/GHgwAH3RoHR561lwDQkkykRcWpri1ch0zqRNzdLNX897cB+z2hkY2hId/586UtloqZ5Q0NhNTj/53+A17wGGBgIP8O99wKf/rTbWbU7TzvqxhuB7duByZOBTIYvvrNnc6dKNgskEsNjfkGBfo7DxC+k0dR5yRV9o+Ois7nbJBsVZ4rEvHmSreBTso3ma/uiZlaMHy8j94WkSORD0zuwOgsAnioTJ82WpTdoNNuzZzsFQ6u46KW7TWxNbmpyO0+ZwahFcYuhokYdq5qz7XyAVdqwKu/7xhFTp+7pcTsG2f5q0SI3zdZachKQOemnTukBF7beaDo2caQf6TR1+56S5+G739MeIrSjsQat60l1dY34HnzVRZjjVSsLa+0H5iC0KqP76q5bnVvsG43TaVhTI/chvvS2aPAyN7amTDm3zpvzjYKN83vvvRcve9nLaA3sUTyziLtPmLhHHEqsfsivXqspDgAHD9q8bEyIyld+IgpGBc2hmNqxcYEtRho9TYuoMXR1dYkNnY/Cx6DRx9asudx0LRZx0tXV5Tvyia9FF81CFqfoMLMsaL/7HfD448POz927gZe+NKBt9ffrKSnvfvcA7r0XIIQCL3Jdm0yG31EikfvNvdn51a/kMZ/AWxRatAaQlHHfO2UGT3e3LedP2+CxjZA1guQraWfdCLHUAy3Cwp6P57gGKCsrF5oLvjYyEU7rPKnNY9aaz4xY5RNItCKODaz2XEz3wmewR8eG/5nl9TTROcZY0t4Dqwqj0X7Z9Xz52szgseodxKm1AUj2m8/Za83X5nnz7uuzPZbGPGHwfYOzZ9vSz6Lin4C9ipCP1h4NNBT3zbrHX3Qd9eHUKTl3W9O/XOltOUT3v75n3rNHVozQmL0MTHQ0h9paNo59gnDhRue+n6GhZ9bZGDfOPVd5FOccGg1k/PjxmDQpnKPh2xBac9fOJXx5JJzC7p5xGE1Hi85bKenHjklPZ12dTv0+l9DqlVrz6wYGBs1CStbIguaJ5pDX8tHTopg+XRfxKpYdkE9AOX5cLryLFgHLl+vG9v33A/kkJZ+z6pOfHEB+FbRC8rAmTQJaW4Gcj485+z7xCSCd1mmwHp28CGTDtCoLQDGUVpYD6zZUmdiiJizGy6DZlGZ9NHgmFJZKuV/0kSMyOmuNsmrvNZlMifFRzByg/Q07X2OeMEPf+szRGuBRRI2PZDKpGobr128w3Z+1l7GCXO0JrqHfI5onXIwxokXmfIZyIdAo5ww+UcjmZmsaoOwHraQdYxn6DNWo4VlMP2jifyzVS0MmY22AfEc+hXrrPdj3oO1l2NytCYv19vaaqfkMGvtk1ao14piW3nbypByr1rx53zNYBUlZP2j7ZXb+zJmSvZIDn7t9bQr/OxfdZ07gixmjxvmzAFr+ZiKREnRQ7q0axh/+IKPL56J8VBQlJXYGQNT4YGU+8nH2rMxzstI+rbDWDn/iieJSCFgfaXWU2flXXHFVUfd2IUq/y2azavRy585d4lhxJbM4WNkn39iOsgMK/RZOnAgU0rNZGa2bPh148EFg0SJ9sXz+8wu7FwAkEkOIVkXxGeeVlUPYsgUI6z1Kh9enPw10dspN34c/DEyZEhg26XSQ+17I+2FzkG8jbRWD4nC/ELaZ02q7s3nXOk9q1REA7ijRnBhxKO9qCvXpdFqwqHxOFQ53OxculBFYjerImF5xRzujyuWJREL9G+Y0tvaNti5FnaRAISlMtkghizprDgNGwWViY672FNKmaDlHv4AcM3ji0xhhxo6v5GQ8TsZ259nMOa2X2bNRwhOJhEg/8DnEWdWJOPO1mQGo7RuGhobMgQZ+HZu+kY8dZgGrXX/woC5qGo3Ea+ubcmfnL0zATmPosDx+q3E+qtY+ivMGTeXYJ1wTRWdnhygRxBb2fHz/+/NBBHPPOVKpEjrh2K6RUqOvLJdJi44vWyYjV9YmDgwURuGsrs7l/NqunwOr06xNpAcO2MSgiqH8sai05vVvbZUiX3GUY8uBRXf27nUr2QLyGS0L2gc+EJQ8i24sjhwJqOdnzrg3u6tXS5V6nckhf5s4UY+i/NM/7RUU+HS6sBSWr341iKiXlg6f/6lPAffdF7wzbTPV3y8jXr6cv2j0xVczNg4DTdP/YNBKHQJs7Ogf+4EDkhUVZ742c0hoG850Oi2iRb7v0zpvtLXJsaHlXrLnmz1biiuNBFFHTCaTMdOjNVjFrk6flvOGdaPta+MCIjihOZN6euR8NXvRMvw57sOf4z70Y+S14qNt5iJd+ZB9pDnvWc1nrZ+ZKKXP4Savr/8+b54ukhcFE4atrdUZBlHobUqKPZavH9j1qqrcc6X1+2FCZIcOHVL+gqW36eOTt9c9Nnbs2CGOxTl3sxx8X/pplJlSTFqV1qaqKqnpojFPGKZOZeU93Rg1zkdx3qDVPL3sslWma/X3Dwg6m39BAy67DMjfj7CPLm4w8SrrB5dOp9Hf7zaGrddjET7rYqlFr3O49NJAXXsk8Hnso2Cb8O3b3WJ3DHGPC7YYaJQ41j96PVSZI2+l3PlEV6J45SuBtrbh1JL8Z9TEgI4f94+bfKRSKaEEzMrr5aOqSldrdeEf/gF4xzsgIvUAcPPNwLe/zT37ObAguT1yoX/MzFmljY1162RlBk0Ik13Ll/MXLcfjF+SRESktasauN2GC24lhNZzZM/sEfLZu1R0WUfzzPwMW/dFsNoGoXag5sQcHZaTfF02NlmD0VwSR15s1y+0wYIJ01koBPvEoa762r256IRhKlOB/8Of4H/w5hhCeN60UW0Cya+yUbC5ClcPKlbKElzVvnlVA0K7nc24xxW5r9J+texr0OUCqtRdzPW19iFbh8WH3bmkAWtXMfUYhK+GlvafubumsOnjQRr3WHNDFiHNG/8b3/fgqOkRhzUcvJr3NJd45apyP4pxDK5fFcK4o5/n7yLIyXTQrDrCIna5ED8ycGZ7Eh4aGzHXctWgk877W17u90KmU/ZN67nO78fvfA7mqZMVOMsyQsJdFctPTKioqRWTB5xCw6hew9ra0uKPLCxdK8SotWmyv6wxs3x7eRA4OFrdpvfzyzTh1Krqpt3WQNr4SiYSgQWt1hoO/KexYPm68EfjSl4b/PXWqTBX4u78DHnrIna8NBOXe8j9VK53N52Rki7hVDdoKH80xuhkqZu7W/oYJp2lpNTy65B4AmUy5SNHwMR6++MXpiFaD8m36ohUatU3nyZMzEA2G+tr0sY8lkD8V+Pph0yabEzKdZt+pTQDLniIhjYF8RI1An+Nu8+bNpvuzPtJSJKICjwAwfryeAhbH3mhgQMuZZUetC7J+ftQoZSUf8+ETySsELJ85B0YJv+QS99ydzWbNeywG7Rps7tadOdYUCXtKBXdI2MaGtj4w4TRtf9XZOfI5wycKuXz5cnGMCQ7mwJxAdkeSrsMSZW0MX/885N6eR4wa5xcgHn/8cedvDz/8kDg2daotYmr5gJcvD8SiiitpNnL4aO58s237SLVbnDwpRUiOKyHuuXP1yBnDl750Evnll32bJhf27ZP07LFjNa+8bYEqK6sQxt/goF0h054X6z6fLXZjx8pNXyHXcuFtb5sWSvOwbhBzWLZsGqJBTG3sMafRpZde6jw/mx0SzgemsZAPXulB/35+85vwvysrbY67yy8PInwtLcB73wt06k0cblWkWb7oTSe5sF6Ohx1zdxCLSLOaxPmIRnP8+do2QUWmmN3V5Xa4nTljV5z/p38qQb6OTyHryaWXRsvt+bcel9sKN+Cyy4CcdqPPOP/Up4APfQjI2Wk+xsMnPjEVf/jD8L99z/y978kI7IkT7nVjy5Z2ccynDROFr011dWGnsj/qbMtFpldID+B1+B5eh++hBFGVcunk1Db+DL5nZoJxmlPv+9+X34qWJ9zSItkQPlJFJhNenzo6dJrI97/P0vTiCxM+/jjbQ2nfZ5Lk/ertGRiQ19MM1QMHZB9Nn+4WFuvpkewcbWyk01Vi7fNFtVm6gMY+6e+3MewGB6UugKYn1dMjx7bvexgasulOsBR2rRzp/v02VmlXl2Qj+ObuU6fCqSS5eXL+fPve+0LGqHF+kYEtqKy27TBGNolv3RrQV9vazodXSt6jqUnP+Tx92qbGWl4uIzZWmvrJkzb+uS8SWVERfu7SUtuknoM199KqpJ5ODwo6p29BY5O/ZswxBXltAdm4Uaoid3QUaO09fX3/N3LZZcD+P7IVtc1XIuGOqldVjZx9oo2lTGbITDdcsmSx6R6vetU6cay1tTDKZEMDsHMnMGXKcP984xvB/NLT41dejs5zvo1FU9MhcSybtQn4aGCRDqvx4tMQsUZCWM6hRjVsaZFUTp+w2Cc+UYoPfhBPG+iFtjH/02aG2dVXAyUlw1b/unXA176W0+GQTqS5c4E/+7Phf2/aBLzhDYEz2dWm2trh93PHHcCb31z4M9xwA5520hVy/rveFf53b687SvXUUzPFNWfPdm82e3tlhNnXpigrqqvLvfF3XS9q4OeDRTtLs4P4Hl6P7+H1KEPYwb93r+xTLY0EANrawltW3zOz6ix6DnkNnnwyfMynRP7OdwJkODsxcyawZcvwv3398NBDDbjrrvAxrTzVk08uwic/GT7mm5e++tXwv5nWRT7uuacktA76ov/f+95CRAkLWt99+9tsbnX/walTjAbvYzCEx5LPWcVv7zahfvSjler1othACjxolZgAIJpVwcZ7Pv7zPyfBUhX5M5+RKWgsYp9DV1cNqPafgkcftZ3/5S+XRMZS0M/FidtduBg1zi9AWDdkTJQkh6qqKrVGbCH4z/8E0ulzSwd1wUfVY9ExLfK3fPkKcUw3nm2dwco5+Kju0TxUrY66FRqFb/p0m/BGd7csP2JFIpFQy4lY8+bZpkNXqJfnz5jh9sjnY/58oL/fbZxns0BlpftbjOatAnqZvWiVBQDYu9dWO9znGGK/RxX2w22Su9BC688++iiweDGQTIa/qX/7tyBP3VfSrq/PVl+bQcvxZ9DGY1eXPY0k+jvLS8wHSxnQNp2PPSZ3Rr6NeXQMFJIL/OUvA299a+76/Jx3vlPSVnP3YhvhBx8EqqrCG793vhP41reA6dNnh44vWQL87ndAtHzyz38OvOIVwMCA/Hbe9jbgTW8Kp9l873uBJoRLGf0jHwn38WWXAYEWm98J89WvAt//vve0pxHVb2AOjHxECXb+qhPh9CDf+T/7mXRaa/naPucaQ7SC3eHDet78u941LmQs+Jgnb3sb8LKX2dp0xRVAPtnEVyXia18DvvOdYQO9kJJyL3jBsLO3kHnsbW8LxnsOelQ4hY99DPjVr/zXzeFd7wLWrh1e23wOg1tvrcTXvz7cDl9Fmg0bkviLv4ge1b+h6Le9Z48u3BpdLlmOeD6SyXBk2NcP73znXPzrv4aP+cSVX/jC6Pm2udjXprFjw44epk+Qj3//9yq8+92FXx8AotItbW16Ln80E3XZMjfbDwCe85wgCDgM/R394Adj8L73Df8753Q8duzcVl063xg1zp8F0EquVFZWCXpcXV39OW5RcWAUdn/+dXh2SSalkqjvek89daSA1hUGFrmaHV1lIojmSMeZQrBtm1vgjekIzJljUzm2l73Iqs/H843io8EzY9hSqq2igj9zIeV029rks0U1E/Ixd67sCz3XTzbM9/3s2yc1AbS/YZswXUH+jy3LBs4NgDNDfvtb4P/+X/0as2aFN5zWsRfA/XBMiFNLkWD0O2ubNMcqAIwbJ6nzWiTvgQdkjmAheN/7hvP/CxGwBALD9uUv56kRf/VXwNvfzoXi/uqvgGw2PAay2WBzzVg1b34z8FAkm2vDBmDGDF5948EHgfvuC6vQf/nLwNe/zsf2z34GfOtbcl740peAv/kbyWxobHSlgwC//z1QUTG8eb31VmDjxuC/C2FVvOxlw4wEbe4GAqbB2rXD//ZRwp/3vNm4557hf/vG6pEjY/CNb4SPafPPffcFaXD58D3zjBmAKqodwZYt5bjppiAlBvCrTQPAvfcGJR8tqK0d/h58ObBAMEY///nAuF20yF1fO4dTp4L5sKXF3Q+zZ4d/uPHGYWOSOQYBIH/r86IXDb+nQqr8XHll8C0E8I/Vd70LuO224L8LKSn2858Dr399/hH9HocOIWRI+jA0FMxjue+nkBSJm26yOUne8Abg178e/rdvfN9/fzAucpgyhTlbw3jBC/KdQ/5+WLEiWD8BWfaV4a67gLe8JfjvQh3cypaaIpEY3hMVco/ly4H/+I/Cz7/zTuAv/zL479zY6+vTHd0XG0aN82c5mFo7KxdyIUCL2BWK0tJSNVdv8+ZN4lhfn1tteNIk3fsaB7TotgVWZU1WjscnyBOFbyJlUWntfbPNtp43b0NlpTRsfDlOUSxfHmaRbNwYULaBYqoL2Pq+EEM4HzU1OiWTOUr6+90b8Hnz7Hld0TLUixZJET8Nb3zjsOfjRS8aNtSijJMorJH18nI5/7TlkpgLRrziUadPS+OdUbzzMT/CSi/EKPziF4E3vSlQSY/WwgWCDeAnP7lLHP/5z4Ef/zjMwLnpJuCHP3R/C7lNWA750VONNp1DNhs4yQBgYMDPMrr77mGKuev7efjhsHH+7ncHFQlcz3D55fI6X/4ycP31QNRJtmoVz90EgH/8R2D58uFc1nvvBd7//iDNo5Dxe+WVAbMAKKzk5CteATz8cPDfhVz/7W8PjO4cWlp0Z9LWrcCnPz187Tlz/Cljs2cjL5/fP1a3bQs0DDIZN/NkcSRb5zOfCRiAAP9+3vteYMqUsJN+0iRg3z7+/dx6K/Ce94TXsQ99KBDCZO916VLgG9+QKu4NDe5+2LpVMidykjbMGD5xAmhsDD9DQ0PgrGJK5J/+NHDjjWEH0KtfDXzhC+42RSPH//zPQTlNl2jdD38YXku+9z3gm98M/pvtV26/HaitHTYw77wT+Pd/D9rjmsfyZVi++MXgm+ru5iKLADBr1jAtoqkpcApH16h8XHFFeI18wQugUrdvuQWoqBhmGP7jPwZGOsADImPHAlOmDK9xv/51wBg6e9bdD7fcEh57N90UOCxdegof+lB76N//8i9BRRW25gHAL38JlJUNv6fBwcCxkk7zfnjb24I25GP58sDxwaj5lZXAzTeHv4e/+ivgJz9xlyP9zGfC+k//+Z+Bdsi5EsR+pnFhWml/4rjmmmucv61evdp0rbNnzwoFxc5OQ52aiwzZbFbNK2XGiGbwsOilVoeeRS99kfm46DjV1csETVADy80+dUpZpYrQL+CCfe7r8JIr8dXvZZEfnhrhRmtr0P41a4KNz8q81DLNMcTGGSsBk8PBg3q+WRQlJUlBhdfKaLmgfT99fYyq7H7htbVtghZn8Q3efTewZk2YYnnddcDmzX76NWPQaIYqS0nRlJLZtXyOhygN1ycedccd8pjm3AKCDdE73jH879JS7rSbHtEf+vd/B171KmBoKNxBL35x4BBxGao//vHwf7/xjcD//m/w34U4qrZuBfLTJIeG9LSZpkgX+e7xhS8Ez5Qbc/rcPfw3//zPwX+fOcMjURs3hm98883A3/+9u01z5wInTswKHfvqV4PN5fz5M8Xx178eGByUUeGXvAR405vCBtXf/V1gNLlyQd/ylvbQv5/7XECrmBkV6n7pS+V7j6KycthI/shHgO9+N4hkujb/q1aFU3xuuCHQGHDN3d//fnjPcuJEwBxwlfHbuRNIJsNr/V/+JXDggFSJf9vbAkN16tTw8c7OQNOgpaU+dPx97wuijwcOSNbRd74DvPvdYaP6xS8ODCfXWL3hBhkAGBx0a88kEkBfX9iJ1dkZOBNYKsT11wM//Wn42A9+AHzwg3zu/sAHgN/+NszoGjs2iGQz39nHPw786lfSoPrhD4FrrpHteetbAwdRtCRp4AAMDLd8/PVfB0Y9m28ffRSYPDm8v/rKVwLnSVOT3Ay9853A//2/4fPXrwcmTwamTJEOjGnTgJ/9TM6fS5e65+6f/QxIpcLf4gtfGDwzc3w+/DAwcWL4+Pe+FzhKWDrp3XcDL3iB/K5WrwaOHZNr3te+Btxwg1y33/Sm4Yh7Pj772WDMRvey3/te8NvQULjfPvrRgGWUSoXvcfJkQFk/ciR8/qJFwfc5bpz8dl/9auDQISmM97vfAatXy/X+ox8F7r036J/RUmqjOOdwUeYATmmMQzTofKGszL35YrSUadP0HORx48LRgoGBAbS16d59C5jSsZX6bX3fxU4y//7vAU1wJGnhhw65HQnJZFKkHsyapVP2T5zQjH0G+fCa4jjLZ6qocOsj8JJFxb3wj3882OiG7x1fycGhITlutLFRUlIqnCH+yDybPNwTypb8BLc/QistePnlssG7d8sILMMddwSLNdtArlwJHD6sl/P58IcXPW0wFYK9e+WHYx0bqZTOXomylnxz9+OPj8Ob3hQ+VkiFhK9/PZgPMhlg5kz5jd5zD3DdddLw/PWvgf/8z2F6/xveEEQoamv989Kb3tSFr351OPezOlrfLILXvva0MATPnHGXTZwx4ziIXqSK970v3G4frfSf/7kD73nP8L8LERC8/vos/vu/84/4F+Qbbwyi0iUl/L3efTfw29+Gkzff+EbgRz/i57/hDcDPfiY3ux/6EHDLLXIOuOQSIJvl+albtwJlZeG/mTMnENpj8/PmzcDMmYdDx974xmAjf/So1Nm45x7gFa+Q4nGXXw4cPSqdm+vXA2VlcqyuXQu86lUyHWGYiCb7Yd68MI2+tDT4VsrLOcvo8GHg8OHhMfOP/xhE4bVpvrd3eP/2utcF30+hFRyrqoCjR4Nx4ctnzmHduuD7BApjVn3964HBm0gAjY2cKXfo0PCcPn168K5nzgT27+elUb/5zfA+7Lbbgkio61t47nMDdkg+Nm0Knps5lN/wBuDgwTAL4+TJwEHDKP4/+Qlw993hNKXPfS6IxLvmsajBO3cucOSIu2IQ26YH4pUAe+7nPhfYuTPsAOrrCwx91m/33w/87/+Gq2/88pfBmugqL/u5z4Udfe97XzDPuJ755pvD/77ppmCMA0BVFTeGW1snP/3vSZMC5kR5OXDkiNw7njoFbN063KaKisB5O2uWe6x+5Svhf//wh4Hzbty4enr+e94TtHPUOB/FMwpWN7q62laD9ZnCBz8IvPGN7jJxDD5KczGRwSi0BW1rWKkCgE6lZGqZVlEuV6SrUOT/udW40PYDlZXVom2+nD+uvmtrk1a6jEVHmTGSQ0+PjFIUS4vaSbhtLLKcQ0ODHKv6Zkr+xtTsh5ERavpa2b/g/urPBZ0/aZLcaOfAxCjTab+z6mc/G85ndOGaa3jk/A1vGP7vr3wFIaXj8ePd88WWLfP/aIAUhuZmSfE/fFhnyXzzm/2h+tqFpKJ8+9vBpmgYshNe/nJg+vRw3//1XwfPH3XWNTUF1Evf2JgzJ/j7XM1x31j527/tCBkt5eV6ouJLX8oMA/f3MH26LGupfT/jxh0Wx7TvEwD++q/LQ8wO3zOPGdOH//3fcBs052AOv/nN8LWZ7kMUt98eGBZVVe42/fSn4e/wjW8MIsKTJvHc2+nTWXmr4P8zGekAGj8eaG0NOzcGBmSeeQ4f+QjwP/8bPv/xx4OxV1LCAxDf/W54/XzggSAtwIV9+4bXn9LSYGwXunxWVSGk+tzRoaew1NZm8dnPDl/fNzb+z/8Jopa574eLO4axdSuQq4xbyDz5058GEdNC8YIXBEyBXNsnT/an7T366HCqTCEOg9tvH2b8FLq+5PdDIX/T1JQvVOZv0w9+gKdFxGpq/PvlK64InB6JhK5Ono98qY5CnuHkyWGnzdKlsmpKFMeP5yLawOnT/lS8L385YAEV2p6rrw6+txyYIG0UJ/Km5EIcQ93dw1U7CmnTL36Rc/Lo6XYA0NRkExO+0DFqnF9kOEmSY+bOtZUCeyZyNL74xSDSWFKiRSJkw3xR8N7ekYtA6NEU2SatlrEvx7cQWOtGM1x/feCZXu7aOcUEn3gUG2ua5oFPbTSKAwf0UnsMkSyPor+HTEZS9rq63FH+QsRgfIgyRfLR398naPu+BXDWLKkJoG122PX6+900a+bh99Han3wyg5e/fPjfWmQ+iooK4J/+Kdwvb3tbEIkE/ErKalVKgte+NkxvjNYxj+LTny7HW94yHDUqtK7zpz4VbDADyE744Q+Bhgb5bLfdNpzvCACPPYaCo88HDgDhtH79QykpCf+ujQvAJ24owTZ/GouJne8rERWde33fz9/93UYhllRVpc9hUWcJm0fyMXVqmO5byCb4M58J8kqD872nAwD27rWlnDzxxLCh6nrmfpTj1bgbr8bdONpcjiuvDI4fOuSftx95ROaxali3Ljy2fc6hqBBda6su/NbeHn3vej/86Efh78cXRPn61596Oqcc8PfbggUDeMUr9HOiiCq4d3dLZmA+stlw+ouvTe96Vxs+9anhf/v6AAj6Id+hcuKEvqe4995wP/va9OlPB47K3NjWHdzAlVf24777Aio/UJiTZNMmILy862Pjd78Lq6C7ovM53H9/QL0fPl9vz3e/2xcq5ZhK6X9QXz8QMswBYHBQn7+jJETfvHTmTHh+mTdPZ6Du2dOLl7xk+N/NHtXd48dHvve+kDBqnD8LoHkzU6mSgjxg5xLXXRfk45WWAldddZXpb0+ckNGSfPDoj/t9LI4qxUAvZ8Xhvj7LUbRGzn0ldArBgw8GHsdoXdh8jBlTL45phmp3d7cQr/OVgooikUioBjhzJmhtYoJdTFQuHw0NwcYvh0KElOJAT4++ESoEzc1uj3kxtC429hmdTcPhw4ecv504Yfs+AWD16vCDNDQUbjG77L2/+Atgzx63SFBJyfC4njp12OCuqNA31P/2b8Hmbzga7u+E730PT286XGP7vvskFfl1r+M1YbPZIArY0qJvXr7+dSB/+tXGCyuXy+ZODT7jvND0hhzmzZNOaE3jgcH3jfT0hPUNfOeXl8u5mqWj5HDFFTsFHda3qc3RnHNobNQdOl/5Sg/e//7hjXAhmiaPPRYWEvS16V//NYgu5sCdfMAQSvATvBp/89+vxtiG4Ydg6WL5aG/vR770jq8fPve5VhHB1wyem27a/bSI5zDcz7x6tWyvZvCUlbWLYz7jf9as8Dfve+b3v18avlp0ftkyGVRoarI6t/Vx8fd/Xxsa3z4WyWteswcz+dBx4qUvDf/bN1Y/9KHwu/SlqnzpS22wEDL//u+DfPl8aBWDyssHcMMN4WM+Z9Xznx/+t++Z//qvK0KGsI8h8f7370XUv6bN35dfvudpRkghKC8fwriI3Icv7WnatPAz+r6H17++vfAGXQQYNc6fBdi61R3JHTOmDpPzXW4AKqOKG+cYf/jDcH6ONmmdDzBjRIvOWw2eqPge4Fd8j0Z/4mADAIGS8i9+4f59PAkTarVqmSFRTCk1zZlkj2LLDvKJbAHAtdcGHnhACgTlsHWrztrgY8P9AEy19NJLLyFnBpg1S5ZZ81GRo/CNX1bDV3PmsetZFeS1NjU2yk21j4oMBI6/nGPddf1Fi4C2Njm+n3oKmDt3+B45+mBLi1tTYc6c4e/8Yx8bVjp3jd+//dtwNOj3vw8opseOyf785jeB66/n8+RzngMMDg7vovKFunzv6W1vC/9b67d8Z0UOyaQ+mOJIkdCuwVIkmps1TQv5fFbjfOxYec98LF4sBQA1gcm6Or1+dBTTpknmiZZGAgC33poJGfP+dIQjkD5z/Zu+9dbI2R6DJ5rb6pszojndvqjz858vhf60kp2TJtlEcVtbpdL6pfky4REww6O9XafNR1HM3K1pnqRS0pGk9UN1tfy2fG0qKwuvHT6Bx2nTpNNDa9OVV24Qx6ZMce+vopoWgN8pWF8fHsu+Z25slOqKY8e691G33CLfq7bna2y0CcMC8r37nqGykgWE3P3Q0CDnOFeqCgA85znyN+64D5BM2vR2AODMGdve6ELHqHF+AUI3UEaueuBTOY4L06cfDOVXAsCOHW6ZWEbntkady8rK1Dx0JlqhbfCYOJ91E+rzED5TYKrPCxYsjPUe4yLu0mw2i+5u9wb1iSfWimNWqnuheNnLAuohi/6fOuVXxY7DGEml3FMwE3/U72k3Rk6fltFWTVPhqquu1C9YAObPd5dj6+o6K5w3J0/q7BkA2LEDJBLmR19fECWOUufvvz+IVhw9Kt/pv/0bsGjRCXHsJS8BhobkC7/rLmDFCrkJ/fWvgde9LhwFfcUrgprJheRR/uEPhVPUL7tsszimRZ0ZA0hjSABSU6EYJocW+WPjwFoG0epI8jmT2YZUuwf7TTt/aKhdHNNSZwBgzJiwcravH1atkmySigr3c7/yldJA2rOHV51IIY33z/lWIOlfoFJpVPUZ8DskWIqEL10gCnu/ua/FdWP0sRe9ns8ZxqrAtLa661wzR7D1G509e5b6e3Q98TkMudPF9o02GCd+ayVh3zvigr9uZ9WMGdLpboVm/APSQegSkMuB9av23Ox7WLhwATkzAHNMaWOV72Vs38/FjlHj/CLD9Gj9Gw/a29vwVKS+Vn/UYj5HSCYzIh+PlZIYPt9WMoshkUiodLZCNvr5uPLKkRsjPo/58ePhqJp1krnrLmDqVHutdBaFTasbKNkwX6SbR6XdDxgVNAN0Z9JI9RNe8xrg7ruHjfPx44MyHwFzVL/43LnSyNRz7FgOrIzI5MBFX2z54L7NFPubgQHdKSGvYRO1q6111ydnkRbf93D33VFKrn5+Dr/73bAgz8CA3ERu2gQ89FD4Yk8+GeQvMjz0EPDtb4c3wJ//PPCWt3AxQAA4fXo40vQ3fzNc8sjnGLr66gFcd516Sgisj1iZSA0+Rk80alfMZkrrO6Zvod2DjX2tEgq7vy8n91A0cRmA9o2OIVxQa/WPI0fYPQNY36kLmlOCzdEulKMfnz/4d4E6WsH7Dvn+fKlePsdRFMyQqKlxz0sMe/e606cYJdjfD+HnLivTle3Y9To62p3nWx1JDD49HKvmCUuVsY5X7ZmPHZPl1HzXjzoMfOOCXY85vXPo7ZXBCesaOnOmbuBH2+TLm69jNfKMThLtvfJ0PPf1S0tLBcO3tHTk9sHFhFHj/CIDE7PQDBT2W1eXjVoXJ7QPmEXsfHS2aORxcHBQnaytYO1ds0aTR5UvvNUjAT0SZ8kHPhBQaisr7ekCTMl948ZNpmtMmKB7rXui9VK8kG2K5rnnIw6RtXvvHTac7rsPyO0XrIs4IJkC+WDX03IvrfoF1dXVZpaGlZq/fbtModEE/lgaycmTGv3MHv1ftixsLGjtyeFTn0Io749RRKP47W+D2vaFtAkIgoU5hWCWQpKPG27owv/3/w3/23f9yy6T/aBt8ObPl8aIFlnk19I3a1FVY1/VCZazq6kQ25kq8g+WLl1iukaU5m79PYpFiyQNXtN4sBpP2WxG6Cr43huLSmt589Y2MfhKpEZx9KheBcEKJjJpXUu0qDD7zdcPUWdv3JHA/fulI1hzAJSXy99OndJLo0bbbGU+Anp+NDv/qacOO8/n6Rb6+I2uWT6HhLWfWJUX7RpTpkwWx3wlUq39wJwJhYj55ePAgX3Kr7Z1nQXZ/IHJZ0Dp+hxi1Di/yNDe3v5MN6FgWBdx5t2bPZvnfOYQjTpks1k114xBa+fGjRvJ+e5ZhYvL2SJIlsn+c58L8vl9EZ5CoTl6ysoqxIab5YHm4+hRXXm1EGgGLMvn10qpaTh4sA0WogTP/3ZHlVgut/Ub4R5uN3xMEatxzsYZy7vNgUVnfaqrUSST+juKlqLy0UEB4MMfDv/b1w8f+ADwvOcVfv43v5nBK185/H5ZLd583HZbSyjPtphN7fjxbscQqyKxfbs7xagYRMsm+iJOK1asFMc0R5x18xVlJAGFCLyFN6TFGEhaqgozFnRnlYQvtSW6PrlKqeUwcaL83ap7Yp3HXEwSIBARs5YTtWphHD0qRfI0h4SVCs3G6pgxunhhdN7SWWz2d372rEyHWLp0qfN85lD0BT6se5kNG2SKhNb3Uf2k4B7xRXgBOQf5hC35PWxtmj6dKHD+ESy9bfdunkbigm/8sipQGsNtNanfNzhoCzJp/ZBOD4igVTHBkosZo8b5BQjNQGJlvJg3/kIAm2Stmx0LhW4YNuqvNgmxyO/u3dLzmcPUqbaIAEOhCsT548QawSkGiURSbPw6O23COn+8kvMXPvbd57PSVcWKDkbHhq+EF1PfZYtcDpdc4t4IFYp589z52r293YJWqOWPA3Zj32ogFVKGxnd9HxW5kGvk4xvfkMd8m6nPfS787wUL3Pl1QMBmyR9PPiG/uXPDm04rBRbglOkcuGK3+5kZ+8DqMPCJhMUhLugrLRjF3r16TfGoAFwx/aCxJDZsWC+Oacwqlk+rR5zkMV8EjAvYndsolJbqlUymxPgrxlmlrQOsXNfBg27FbLbHsup/+IRho9+or6a4fe6W0Iw2dn/r/k1zVP3xLuKIlotcSK143/UXLdJ1daICwZpGDgAsWMBKGdv2oNo81tYm9xnWlKFi5rFMxu0c8verH1oVlkwmK/b+R4/KFIV8+AJ5FxtGjfNnAbRFqBiF7bjAKPh6fp1s2K5dbkMYsOeasTI0M5VaHmxSO3vWHcllUXvrxqKQBVDZRxQMluOvjY10elB480+c0Glu0eslEglVUfYSIq+qtYltqHxtciHqeNCcNsH5hR0rFmwB1ozdTGaIOLP0j53lrlmdGwcPuvPmWXRW21iwCK81b963qW1v10saRbFkiXSIalTHigopvuOP2IZLDhUzjjT2DKMtavdgESrfxjh6vSjNPQpG79QwfrzcwGpzN4PPWRX9fooxCu30e/d4ZZt2RjfWoFUjAYAjRyQtWGvTsmXSybhgwXxypu2eOaTTA2Kd8b1T5kyylpDVBeHYUdtGyjf2uM6E28G1cKE0MrWysOwZNIHeU6ck68rXD9HxyuZz3/U0Y5jNKdbvzZrL77s+C6ZYnYyaQ6K1VTqy/P0QZlFprCrX9TQHGlO819d1GdXW2ALsWtmsT+BxlNY+igsMhw65F7ra2jGYODGcUxaH16tYzJhhE7TzwUf9imLOHOld0zyEDNrEyPK6fPTOqMPAl6f92tfuQhxOwunTmaiI++HSaWb82RAYwDaFcg07dkhqrFbKSEM0alZcSTv3ArFr1w5xbOZM9/fANubbtm0tok1uMGeStqFiY7+vz73ptG5SyssrhJMkbufWwYOyNE1pqXsjv2SJjJL7vPhR+NoUVdP15TmyaOjp07oir2xTfNGdQq+RD56X624Tq3PuM3isbYrqPGj54AB3YjCtiGGMnIqs15uX1/fNY1bDk80PVoee1g+DgwNmJwmLhtpZO24wJ/CcObOc57PvU3NIAPZ+YOKZLPigXUt/R3bdiSh7pxgnozYH7Nsn85q1b5Tla8etX8CEKtm8kAPbfx8/zphNOdgZDNHffetJoffNIZrC5MOMGdKJak+d0X+3OnsvdIwa5xcZmIhXVAAmH6lUSiycY8bUx90siqYmuQnW8k2ZR9M6CaVSKZUWzmnqWt3LkXvjNIETQBrvPjro8uW2TbgFK1YsN/6F3kGpVNjoyWazal7pgQNyE5RM6hGQF70o/G9X4PSjH7VpEfj0Hawbj/5+eX+t7F8cKRK+NrISSJqHmkXIrAa4RvsdGOgTkW/fpjYOaOq3ZWXl4pgejbTPGdGoty9vntVYjkOoKwcWNfNFYK05f2xsat8Dmzc0ZpW1/BX7XYtEAsCECXIs25297n5jtYC1ZygpSYn1pBgDSatZ3NTUJI5FK8LEDWuVGkDXL7DP3TKqXV/vdlbxaKp+DysLY9MmqYejVdrgJbysc7cegY2m1/m0cKwOCXb+4sVumnqUkQRwh5d2D1+/MSVyLQC2evUq/YKiPXYnSdQm8PWDb54r5P4aw43tKbRqB3E4JC52jBrnFyA0VqZVQbGnp8erFn6uwMqfaJup8vJivHthpFIpVFW5N4ksZ1/DkiVS3de6CeZ1MIehOVcKRVWV/d0xUZxUyk35Yo4hX4pENA8om81iaMjtfGDOG18O/q9+BbzrXUHNahfuuw9YskT/dqI0Lt9k71PgjoJdT4uyMZqjnm8qO6OxUVfT53S2duf51pqyDFqdVyb+l8no3080D7+YRVzLvWRqwNocwHLkrfO2T9QyDuo0q3ucA2Mk+cQFoxv3YjZLGmtjy5bNpmsxobO4NRN8DosorA4JBo2KDCRiydfW9DZYioQrhWEAZfjKin8F/vVfkV9X1Zo3rzFbAM6G0b5R9s6t67pWWYBVQrB+DyUlJQWJW+aD1T7Pga0F1jb56s3Letr6O2UpElZoz8BL9+ptin4/1vSI4L5WFpPt+suXS+dsPqJ7b59DguVrW5lVmuAhCwJoz1xWVio0q/zz2CitfRTPIFavvlwc0wykgYEBseF9pox1H6wRB0B+sJlMRi1xYp0EmQFmzZv3Rf6i/eFr4zXXXC2OjRljF4c5enQabrklfIzRxjQwz3Q+uOaBrRMK0Uj46leBP/9zgFXEuv/+4Dd/BDZ8I18/sBzcKVO0MjBsbLg3U/v3s75wv4zq6irRH768eSt8BloU7Jm177OYqHOUcaNVUwh+l8cOHXKLOLS1uXPvGFgFA59YjVVMbevWLeQa7nfHnCrFbDo1RJ2QxYgQFZuSwlBbK6NBVv0Cn/Ftrb1+2WUrxDGryJW2TmYyaXOt6YoKOYfHFYVKoxS/m3ErcOutQN5m28qy8JXwslZoYcKaulCY7FPW9zmwceN7p1FnUiIhHS0jARMwtRo0cVORo7WsAZleFoZs75Ytm5xnM6PU2g8+YVie6uWOFPDUNHc/MKNXT02Va4fvmZkT0joH8FrmbmjXT6VKxPrkY6A+2zBqnP8JIpN55jxM2gfZ3S0nfp+yZrQ2aTqdRkeHbYOnl1yRdL04oofDsOdws001yz8rBP/938A73wnkGIDt7e53l0pJFd1p03S6oaaAWyh8wlI5/O53wKJFQHf3cL7Xpk3A858f/LcmcFIM2EbFqixujYRrKC0tFWPDZ+xYFbObmmR/apTw5ctXiGPWMjC+TUJ0k+yLNjFmjfX7sUb+7JFu/XfGxmFGVg6MrcCijSNpU3Rzpm+yuYHElIm1+2tt6uxsF8d89E0rpdVKy2UpEr29bgEsKzU/KCUaHhu+El6s8oAmUGWdM1jUbOFCd7WD0tISsc7oDj0X3G1i17MawnF/09Gxmclk1BQj6/0PHTokjs2f7+6HyZNllNyaN+9r46FDMkVC07Zgc5y2ny0mmmoVGLU6lNnY075Rlr/OtI2KbQ/AGa2NjW6WxNy50tl8ikVGikQmkxbsLU1I+NmIUeP8IsO6devEsajgWxgXdyKGr96pRmFnsE7WbEHTJqGlSxkN3nRLbzR6+3bpeW1p0USIdHzta8DNNwM+PalkUnozfetWOs02F+4XUgx1Ph/t7cDGjbWYOjWoZb3ckEIf7SefquuBA9K40WjqTNDKupBedtlK52/9/X1iY+6L/MURIWMRyhxY7mrcuWHRGuK+zdQllywzXZ+1l1OmA7AIVbQWexTR6EwxRuG0aW71W2YAak4vbhTayvf4nCRjx7o34YW2SQMTyNM0TwDpeC1mrLI89Bz275fjQNto2zek8h0VE/nTv6HC+yGFNJ7T8Vvgl78EQptt9zUqKirEOlPM96A5SrdulWvokSOHnOfPmCG/Let41BwSgExvy2QylB5f7P2ttddZECDuEl6Mdt7X547Oc60N/R5R+CKw0TnCt4bycoe2vuF7gwCMFeLLIZftMZ3u/ZuGBrn+WZ9Zi/4PDMiKDb5+8JU3vdgwapxfZGCiUrpxLnG+SqkxZXZNudxK+wW4MaRNEsw7vmyZNKg1aOXbfJRaCdlWn1HIcoJHmm9z//3AwoXA8ePuxTqbzYhNm48Gz0qpsRJuOUya5FY5taChoRef+lR4gbF2TTH52lFKaT7soisSmlBTX1+vmVqs5R0zsOvJPMNhMGNEQ1mZ3BBaab/FCS/Zvh+tTYyS7nMY+ISWCoH23NbSN2zsV1fbKikw/YB8sBQJaz9ozioGJnSXj6hDoZixpDlXeUqZ+5nttXtZGokixgG7yjGL5LlykcvRj2+ffAfwkpcA/cPK+pp+QCYzVEC0Mgp5vu64l+drVVKsNcWLESPk86iWIiGFxaw56ho1nxnOvmeIig/70xfk85044f5G7UamvL6P+ehLKYpCY44xsLHB9JlyYAKMGlKppNhn+wI+XA/HzWJiuhM65DMvVyMn9pQnq67LhY5R4/wChL4uya+ovd0dASkrK/cKap0rsHyiNWtWm64RjYpF4VPUlveXOfta7qV1MWC0X50CmxDvSVOZLaZNUbzoRcCrXiUjaW1twK9/7fY+ptND3rb5kEgkkEi4DUxGv7XmqAPAiRPuTYcLcSiWWpWXtZxwxrK0Kpz6xW/ku9Uif2zsaUwStqBq43fs2LHCweVjx1i/hyeffJJcw/2emOHhm5fk9fXfowaULx+ctVenOtpQUSHnblaGMtym8L99qQLHj9u+0TVr1pjOL8ZhGY1e+lMk5Hs6e7awNJwcrCkS1primvMM4OJl2rwxa5Ysi8QiacWiu7vb7GRkau5xCkSxIADTltCgibUB9nmMieTNn+8eG3zudufys7Qtqw6L5kx2XU/rN6ZQr4E5VawCvL5nZu/Jygratk1qiGjQ25QQThJtTXchnXbv9dg+V8PixYvEMf0Z7HuZY8fObcWI841R4/xZAEa9zqG8vEJMFFYvcLGwetfioN4kk0mVCs/uYZ1otHYy7/vcuTK3ModkMoFJk8I0K79Sc/Gbjj/7M+B73wPGjbNFwVzwGc5RR1M2m1Vrpa9dW7jgTCrl9jYz+Ohs0c0OM6ZHAhYp1DQVGIVPV121jwtu0Ln7lG1IreNRZ5dkRdTMJ2BppVKy96RFP1it3AMH4jOEATk2SkpK1Ofg48baD+7fOjraxTHtu2XXK2Y+r6521yxmNEjdWSXha1PU+ailLwB8btccN1ZjhDEeNAZDSYksneqDtZ/Y8/nUoC33ZO9Dy0MGOD1bq8Vs1QpgczfTTMiBMU98DAYr9u61KWBrlRAKhVVTZWCg33+SAayKxJIli53nM1X+uJ0kTENFC4gtXKjrKElY1/WMGGtaZB6IJ9VM0xhhzuZdu7QSxnZoQcqLEaPG+bMcQ0Np8aFGa0+fKzCV4wcffNB5Plcct01MJSUlGDfO7SVkuWZapKOhwe5xjMJHdfdNnIXdo7DzvvtdoLGxGFpScekQ0VrdQR6d+0I/+EEVfv/78DG2Gf3+94HLL9dKCkn4jPOoY8X3TnnOlO0l+QyekcJHK4zWpQW4YZaDtfQN22ivXLnCeT7LCfYJ+cWRJ1xZ6X5PPPpvEyGyOjCGhobUv2F5/tZ7aDnqLB9dK4PJrlcMJZxRpnNg9OvubreYGmNc6G2yqxwXE+GJQmNJMHr3sWOyBGb+taJ56sV8D5oxvGPHDnHs8GFdKEzC9o584oJMX8BaL9v6/Whl9tiab/0eEokEUin3HzFjhAms5bB4sTRirfOYz7CMGr6+MrJTp9rS2FibGEMzB1af3n8P/d8SLEXCPS/5HE2yPfL6LGU0h0xmSOxlfPu9OHRYZs6UjJocmJCgJvKYSiXFN1ScOOfFi4vGOP/sZz+LNWvWoLa2Fo2NjbjllluwZ4/Na/5swNKlts1xd3ePoJ36cgHjAp/4z23CezabVRccaymQxYtlPrqVeaBtpjKZjMir900yjNaobWpz6OoCcvtnvpnxwS7Wxowe398873nAT386/O9ojvo99wB/8zf2jYUvumP18i9bJhc0bRPJ+lWj6bGooDY2ysvLRGTDV5eWXU/bdBZbFaBQFMMKsVP25D20msXWKDnbfM2aNcvUpsHBQTX38ehRPfoTRUmJXOr1sWHPmY1DvVpzVPKySO7xMn26dD74jLwofKwNZqhq74FtqjXdB/Z8mvhnJjNEo4sa2D1KSmzsMzt7RvtVXssngKUJcTJceeWV4phV24KXxApQTCm1qCM1ldJZEOyd62vYyPP4i3NWuTF1qvxGfTXto9CE/Njey/cM48aF9T+s6QuAPh61PP9CwUr8jgRWRgRDf7977FmZNVVVrCysLz33PIlpnSdcNMb5gw8+iLe//e144okn8MADD2BwcBDPf/7zVc/5xQrNeOHRZduuqK8vXqpRXOjqkh+wT+wuSmdLp9M4eVKviWoB87yy/JkceF1nzXtrn1CsmwgA+OY3gfwAdFxexunTdTEU7gTw3/xVrwqi49ls+P2lUsDLXha0X1O/ZdEoX1m3OMoo6fXmbc4qTbWWoba2VixocdPZnnjiCXFMy9VndHFrKTXfNxJd+H15wuyZNSPMKu7Exp5PddtKs2V5/np97cvEsfZ23fC0tIe1ieVj54M5ObUULasByHKpWb70MOT1fYauna0wVRyLQ+Qqh8HBASFK6TN2mFI0W4vjhMbAYVFnn8q+9fth50eNMv+19H6wnA/IsrABayI+ZtX69evFsfHjJe07B2aU+gRgrWBGm9+RGUZLi1u4rBhEhcWKyZvXwMrzamCMB02sjTvP9HuwspqaI7OuThrKLAUnTrAUhWczLhrj/Fe/+hVuvfVWLF26FMuXL8f3vvc9HDlyBBs2bHimm3ZewehjPiXGiwVDQ3Ih8ilmW5XqrZRTJh6lbdgYVdS6gfMtBiz/zSf68+Y3m5pAkc2WYMyYcuTvn335jW1t7eRoYdPOrbcC738/0N09vLKk08MLjSYUxlSO443u8Jw/rWYx83ZbF3YtNzqblSrH1o3AH6/k/IVT7NwGD/s+dfaK3Vmlqfsy6CqxhUGrqMBycjXhJcBFbba9C6uyt89ZFYVvrEYZF1rddYAzgOIU8dq/XxoSmqBlMpkQKsfFODGrqty5vazMHou+xwkfq4rNo1rViTgiVNrYqKurE+tK3JTV7du3iWOas2rMGJZGot1BviOmXRH6iwhTZmhoqChatgvs25o9e5bzfOY88+nh8LHhdjDs2WPLm2eVdaz6Bb55KTp/a9oFgMsZbPtGrFVTilvX3WDPqKULWBm8VhZGV1enCGr5xp6PJXix4fwkH58D5BQXNW9nf39/iGqRyx0M8l7Pba7nSKCVETl27BgymTA1TlPoBBLiec/Xs9fX14t7afdOJKRYWHt7J4B659/09/chkxleyIO/d7+/TEbeY9q0qdAyJKLnBx5oSYsDAm+jfGZ9oo72j8/Zsnv3LjzveeGJSJu43vve8Dv6413Ve7gwMADMng3cc08GN98MHD9+CoB709HfD6TTmaeVx4PnLJxC9cUvAkA5rrhiO772tSXIf7VHjx4D4Mq9yor37ivPk82G+8FHl+7t7RN9HeR2cSNp9uxZZPz7x0Y+tDIwra2t6OmpCi2qvm992rSppvmACfoNDqYBcCdNS8tpZDLh9+jrh0wmE4qeaYr2wfWi81sW2hirqCg3z4HR8y+5xL056enpRSYTjiwENFe35sH06dPEHJ1IpBQWlVzDNCHM7du3IZOJttn9DmpqqsT1rd9PUPbTzRgYGOhHJhNusy/lJdomLc8xmAPC5+/cuQPASnp2IpFAeXm56AcN7HsYP34sXMzVPXv2IJMJrx0DA24DbN68ucY5IyvWk+Cduh2ix44dxfLlUTaW+x4lJSnRJlcZowGU4RMN/4iPfHQqUFKC3AR+8OAhAHPo3wT7gOjc7esH+T3U1Y2BK3vr7Nmz4vxgPeH7ydmzZ5q/h+j5vnnswIEDmDJlWGTOt5eZOXPGiNeTnp5eANyZ1NvbjUwmbKBZ54BUKoVEIuH8rtn3o42N6uqaEfeDVlMcCMZGff3w/B3kRrsp1StWrDCuJ/KZNd2Jw4ebkMmE5zntmQOtgpRxHpPfT3d3DwA+ZtPpNDKZ6Jxi6wefMzk6jx09ehSucQEEkfVC+yGTyXjFic8VCr3nRWmcZzIZ/P3f/z2uueYamveZw2c/+1l84hOfEMdPnz4du3JmnOjqqgLAqaJDQ1lB8WpvLwfgFplobW0NbdhbWzsB6BHpODB2bL1oq0ZFzmbls23bthfAc51/s3XrVowZMxxNDHI13RuRyZMni3toVOTBwQFxvubNPnXqFKIMPE0cBAgoSvn5NC0tCQBuL2BX11nRJm3zkkwOorm5PXSMlUrS8I537MDXvja8uX/5y5N4z3u6MHv2cWjG+fveNx9793bjYx87i1Qqt1GURsqDD57G618/FgcP8imppuY0pk1rDr3bIGLKjfMDB/ajuTm8oPpSYDo6OpBIDEf/urrs/aA5Yjo62tHc3IVkXo00zakyNJQW129q6gbgUgkOvp/8b90nppbNZsQ9qqtr4Sr529fXK87fseM4AEmbBoB9+/aiuTncXk0IZvz4cWhubg4Z576yYu3t7aE2pdNZaGNy27ataG4Oj8FMxs2GSSaT4pm7u91zNBC80/x+9tVobWlpQSqVb9j2Q3uGnp4e0aZjxwYAcGZFZ2enOF/LT62vHyvO90UmWlpaUFc3bKR1dHQCcM/3jz76KFavDkfCsll3GsaUKZNEm6qq3AZPJiPHtj4XZ3HkyJFQCkIQ6XY7VXLfQ35f9/XVAeDz68BAn2iTJpqVSEhKt54ikcXp06dDke8dO04DcEfmmpqa0Nwc/sa0zf+iRYtEm2bOnAlCMkMapfhB7Svx5ldNC2p1/hFBGT2+0e7o6MSxY50hZ5MmUgkEUWZJfXfvcdg8NjTk7ofge2uP9LN7HmN7maamLgBuw7CtrTW0ZgUMvXrn+VVVVeIeEyc2wpUZMjg4KM7ftGk/gOfQ80+dakZzc3gc+3KHS0tLST+4x2tPTzf5Htxr4t69e9DcXF/w+ez76egog8sJAwT54uXlw99DS0srAHfVhmBdD7dBSyUZGOgXbdq16wwA7vDt6uoi85hbg6G0NIXe3t7QHOBjY7K9TEdHGi7j/JFHHsbrXhem22taNQ0N48X1k0l9Hmtubg7Ndb69zFNPHcGECXr6WA6ZTAYdHR3IZrOhb/p8wMfEyOGiNM7f/va3Y/v27XjkkUfU826//XbcdtttT/+7s7MT06dPR0NDA6UpXSiornYvjMlkEo2N4Yni6NEdcBnnNTU1WLkyHCmYPDmeMlo+ZLNZ0dZIWlUIiQTE+WPH6nTt+vr60N8MDg4ikXDn48yaNRORW6Cnpx2uzVRpaaloU0WFWxG1ubkZjY1hh9Hs2e4JI5VKYeXKlZGNiC5+M2ZMrWhTMuku+/XUU0fQ2BieSOfNm4gHHlBv8zQefzyDn/5UTu533FGDujo/Rfhb36rG739fhR07srR29wtekMVznjMeJSVunlN5eZl45rIyN52Zjb3x43XRoNmzZyE/+Njfry8GOXHKfCSTbtXiAwf2o7HxuaHFYM2aeqxbx8+fP38uGhvrQ8daW9fDZZznvp9843zsWD1vPZlMiGeork44I06VlRXi/JISdz5oSUmJOL+y0i2QWF5eJqjwR4/qir/19XWhewwN6R783t5eMjayzk3typUr0NgYvmZT0zYAfOzn+iG/n+vq9Pzuvr5eNDaGHU1lZQm4fMgzZ84Uz9DT46b/lJXJeayszC0ql0jI7yc6b0YxYcL40N/4GEA1NdXk+3FvXGbOnCX6obv7NFwbSLZWVle754xMZghVVVWh3MZEQt8nBGMj3NenTz8FgEf0y8vLRZtKS90CUS0tLWhsDC+aixe7OyL3zPn0/Pp6nQ7K1pNEwv1NjxlTg8bG8DuvrHTP3alUSly/qso9B2SzQ2hsbAytiRMn6s9wySXLxPgM0mf42KisrDTNY8HcvTrUz9dcMx4//jE/f+zYOjQ2hvcU6XS78/pAICSZ36bAOHc/dzo9SPZL7n4oLZVzcXm5ew5IJuV+bMwYfT82bdpU5Ot2BVUn3IyY6uoqMge4HQDt7W1obAw7/KZPd68P8+bNE3PGsWM7oBnnEyZMCLWpr0833k6ePCH2V1OnJuCSPpo8ebJ45r4+9xyQSsl5rKpKL/Pa0NAQcnD77E+2l0kk3HMlm8dKStznT5kyRfRDb+8puJxPuTU03zj37WXOnu1EY6OugZRDjp3X0NBw3o1zn/5MDhedcf6Od7wD9913Hx566CG1FAwQDCC2QUgmk+e9QyxIJDTaQ0K0XfNyt7UlkEgkQvkdftXDeHD48CEkk+FJK8jT5YJqNTW14tl8/ZRKhfuyrCww4lwb7ZMnTyKZDG92Dh8+BNdknUjI962VRkskZJt9CsGlpaWhv+EluoaRTMo2aWhtPSPOHxzsB+DXKrjjDuDKK5P4+c/5M3d08Cnkf/+3By960XAu4/79CZSXJ9DamkaUYvmrXyUAJNDS0gyXh3rKlCmkH/S2R8/XWDZAEEVOJoefx6fezvrBlzMbnXvKy90T9dix48Si6qsRHr2+b5ycOHEcy5eHI0yBx507q6666ipTP7DvgdWGzqGtrQ3JZPhbDOhs7r+prKwI3cNHc2T9puXlBueHH1KLsgV/Y+uHTGbI9F7nzJlDxob7fNYPWt3jo0ePIpkMRzaPHTsCV2QeABoaJpiemfXD3LlznJva06ebkUxGHTdH4WK3sGf2iQVG+03TtQCCPYbcT2jrA5sz3Nfv6GhDMhne5wRCkbxdlZWVGDMm/O1a11AgKF/pIhpt2rQZyWSYKbNjx3YAcn5NYgg3lexF8qEO4NprA0VP2PtB09oAApZRMhmm1msR1Tjm7tJS93utqqoW36f/e7DNGQcOHEAyGZ6729rOAODpWMuXLzftZVgbZs3SqchtbW2oqxu+f29v7x/pzzxyW1FRYfoe2Dc9fbq7rFjwvUUvqPdz9Hvw9UNfX5/pGRYtWmiau1kbokLI+RgYGEBnZw/Gjh0O2LW3u8cFAMycOd20p2Tfz8qVK0A0BwEEpTmTyfrQsRMndNZl9Hvw74ttdl1uLj7ftmCh97twLdQIstks3vGOd+Cee+7B7373O7P4zbMFUW9VIXjzm88iv3pakAv4zEATRmI5k/byPAmVBvvUU7Z6rNdeyylfFuT0ERgymQxVXtZQXy9p+OPHa0qzEvv27fWe86MfAf/wD8F/W+avN7wBWL6cbx7HjQv3zd68ZmjK4nPmsO89XoG3QulGObA26aVv5DEmWpVDc7NtXDBo9VBd0JSaXbmlbsg+yt80RMGoor5+mzMnbEQWIx6lpaps2bLZdC1WW976ffb396u5yNaSkAzWmvWs9nk+qqtHzsiKlk3MB1MU1qBrsUiwceNLSWL1ezUjjxn7vhzYKLQSssUoNTNom3/2rTBlfACoQB++ses1wA03IJ8GYhVT82H/flu5QzY2NGcV61NW6jIHLgyqP1f0naRSKU+b5DFN1b6ysrCInQZf3jwreaf19cqVK8hRW/9rVPtDh2yil4CsMsHm83yw59OqTlhLtrKxZ53bNCFMAJgwwZrmygTe3B3NhKw11NbWiMCqz5E0WkrtGcLb3/52/PCHP8R//Md/oLa2FidPnsTJkyc9qqLPPkQ3ooBfROdb36rFsmXAU38UeLQaIecLbGPuUwOPfq9DQ0Noa9PpyBYwL9eqVTy/NgCrS+teMLPZrBjDvjmI3Z/VEx8JXvhC4KUvzW9LYRNfbS3wne/4SxABwEc+AuSvMdqmli3AEye6HVXsWlu3blXbYy2lxlJjNDYPaxOrh5uDtUZrlAYGFFK/1Lagbd++3XQ+Y+noTgf7AhtHKaqmJvcmzlo3urZWjgttrAL2ZwgilVG43x1XRtfaY69xHFU59o09dr0gF9kC9zOzvM9LL73UdK0el/jCH6E5XhmYMcJUsTVo82RPTze6uvS0qCiY8KW2mY9DOd2nXB6F9n0CdqdEQ4Msy2R1kmhGYXt7u+lagFROD4wRjYVhqzxz4IB0YKRS7uuzihTFlbSzwVeeNYq9e92BBk3PwYXo9+hjz3C4+2HjRllhSus3Vgte0+bg19LXVbYPqay0VYHat09RVSbQxkoymRLGuF4G89mHi8Y4v+uuu9DR0YHrr78ekydPfvp/P/rRj57ppsUOzdgOFBTtOHwYmDED2LTJb8zHBWtZHOZoYZvKfEQXVGbsjgQsalZa6nYY1NScj5QB+V67u90Ol2LKE/3v/wL5lTSmT5f1eaOYPh3IlbD2Cce873078clPRo+627ltmyx9M3262xBmVDdXdMcN/b0xIzPukj9RREs95SOZTIgFzRd9t7aXLeJaugCLzjKnw0gQjST6KLOs1rQG6/eTTkvDxmfkcdjuywyOHBhbYf16h9hBkYhG1rWxCgCrVq0Sx7RItdUAO3pU5tNq1EjOurJFO/941HR+QO90wTp3Z0Vah68+MPseWMk3DdZvZOpUt/hMbW0tcezEu2lh5UjPtXKzLwIbHXtDQ0N/TGGIB2fOSM2VVatWO89njmZfyVYOd99t3rxJHItGrvMxebJMYbGzK/Xfo85YXwmvONZ8zanP0iK3bpX7oWHYvxXGABo/3j1vrF4t525dcNdqC3R7o/1R+ErkXWy4aIzzbDZL/3frrbc+0007r2BGyvz5hXt8L7sM+N3vrNTU4sBzK2w1lH2IY2KsrnYvBiwyonlqGbPBCo3KBgB/+MMfxDHNUz97tq1N5eXSsK6r8zsd7rxTF/zLx5gxNo82p5y6I0TM2+0bK9HffdoMLEVDi/CsWbNGb4Boj/weFi9eTM4M0NZ2JlQ6EvDVK3bRFPVSTVHoBo96+4Lgv4Zt3pgxwxaZYdCqTrBN8FNPuYWXAGDyZLciOAN7J1rKEzMA9fJUtqgcvYLHC+xTEC7k/pqwK2OI7dvnTiMpLS1FfX29sU3ymJYf/cQTT4hjx4+7hZQaG0deVcVHZ7Y7jkZuKGuMg/LyMrO+CPtdM/KamqSo6/btbmbVJZdIB6T2PbDftNxogDsMtFSvONJINBQzd1v/hhm+QTlSDuv+qhhK+JkzYcdUlBEUxdy5sk3WuXLiRPf8zxxlcTskGLTovNUQZu9j3Dh3etvg4IBwlh0/rovgaWvyxYiLxjgfhRsVFTbazYc/fH4E4RYulMJvel1aiZ07d6q/P5Xj6udBmxjHjZO5n4sWuQ0eBo2KrE1ohcKfW8P+xv0byzvW3lF9vZwEmcGRjx//uBW33FJYewC+QPrqikeh5V5qqQQuRCOudXX2ig6awRNPVN3dbwMDA16DKArm2POlkkRx4IA7F/jxxx83Xau+Xr5zTUAugO2ZWe60dTMVd7UPHlWztYnle+Zw9KicJzUwiu+kSToVOTq+feXj9uzZbWoTK3lp3ZD5csjPNRh7Rxt7TKhQd2rIa/ko1ozurGHZsiXi2IIFtn7QtDb6+npUo5SBza35VSsKOV+DPz3Ij6EhPT3GOjZZioZV7Hfnzh3O3w4dkg4Mf6pX+P7V1dXeUphRaGmJPGXDNk9qThvAzp7QNFQY2DvU9pQ6s0aisrJCOBl9qTM8xcjtNNy92zZ3s7RLq6PFx2B4tmHUOH8W4Ngxa57e+QH74K0fpB7d8QtdRLFo0ULT+VawnFwtZymZTAqHgVY/FbBvLJhhfcklWu4lu4ZOZ1u9OtwPvjYyY0QrMWE1ns6cYYudfo3oguYTbrH2A9sIadT8sWPlgrreJYcKgEc79TaxTTBzYGnX04xCa+4yy9cuzqnhnjeYw09TUGVsBSs13/cMra3h8VpaWqp+D4y6f+TIIVObrIgjipsPn/EeBYteWo04DQMD/WhpCc+VvggR0xI4edK9mbbOY8wYWb5cK1/JUp5sOeiAz3krjZHi8nI5uru7zU5G9o1ahbc0MDFCLdDAhDM1J6YbWnReHtMEQDn7zM2aKIbmr60dDNa5fds2yW7QnMlsfQ0qPLhgX0MZg05b162aJ3bI9DYfG5NeRZkDrNF8tu/W9+52ds6uXXog72LDqHF+kSGblV9AlIZzPqGVfWOLkebFtytBA9GPOJlMqt5jNiFs3Lix4Otb2wPoOa6JREJE4YrbcLrbycSj9DJNdmX0aGDBF/1nwk9nz7qpjiUlTMnfRiv0OWaiTY77u2KRkalT3WNj3jybiFcx2LFDpsloDrF583xRbD80Lz5zTDF2TD7ioPhp6QKM+n/ihDuqwO+pfz8dHe2hf/tKvFx++chTJLT3duyYfOc+8TOrGjSn5rsdAIyVtHmze+62PjM73xdxmjhR5sBaHcYarAr1VVVVasSYgb0Tbeyx/FQ2XnRYU1F0SjhzVul0ZKuThAmS8hJ+QHFVdaxtWrtWpkhoAmjMYLR+D760j6iSf29vr8oYiGM9W7HC7ayqrpZztxalLgbMUavpEl111VUx3FVj0PULp54vdaUY4z0Kq2Db9u1a3ryEb6yca82I841R4/wChOY09okdnU8873nA3/yNm4rFPNdaWSImpmadvJPJpEo5ZUqZ2kS3cOHII+3apJHNZj1CGhJs0ayosG3INCpjtIRFcE9fm8L/1vKJAIgIFaCLyF155RV6AwqAbwGK5qj6npkJtVgjY+3t7o1COm3Ny2d5XbZIBgCcOuVOCWDCNdZn1jQymOCQLwJmdSZZ22stv8gUkFMpndoZHWvpdPqc0/guueQS5299fbJcFjPK8qEJ0jGw70ujiFpTJCZNsuXxM/hEJH35qIVAK7PHxqoWISopKRE04mI0G7R3xyKPbD4HgEGU4j9XfgH4whcAUiq1UPhSbRgFWwNbn+zsLC3Vyx6Bjf6eTCZVhxdjF2iK2ZroWKHwiWlGy8IGex/3e2VOUd3prrcvCh/jr5DrW7UxAD1v3levOwr2PpYudZfBzGTSQtTOVwaTpwfZ+mH8eHdaorUcaWVlhTkdohjNqgsZo8b5RYZVq1jE5Jkx2H/5S2DOnPjy14vJ145OEtlslm4siwUr+aIJ/jBolKVMJoPTp8MLiG8BuvJK6Xm1Uk41TyqjZfraFF3AihHwsYKVStLgi8BGGQu+NjJPsT425OKhiQtu2SKVbDXU19eLBc2XN88VsN2LnLbp4NeX1yqmvI0GRv+26jZozqrohjO4vvtaTNzNV3UiikwmozpnGL1TAzMAdfVo+0YnjsiFlequgamU66Jc8pl97BluFLrf3YoVK8Qxa6qXtr719/cKUUgfrPnUlk9rEGX4n6XvA973PiDPwNbSBdic4Zt3uPClux+WLJF580uWuA0ehoMH3eu6VeMBkOM1kUioEVjrGtrRwXK5bd+5f2zZrsfWJz06L6+/detm59lcXd7dxlQqKRgRPrYAG6+a045FjLW+ZEGr4limbljTSNg7jO5jw9eXa4P2zFVVVWIvE3da1YWOUeN8FEXhoYeAigpd2MU6Ube2ysXDJwYVnUiHhoa84mUWMPrqlEIlyc8RGG1Ri/DYF/F2ccxn5EUnTl8pNasa9IYNMtea1QzOgS2o+gbPtngAfKNSVqZtOvXrFQb3O2LiO76ax9Y27d4to3Zaft2qVZeJY1u3blHaE0/On0bLZVG4KB3zfMPaD7290rlWXu6OTDLBLs24KAZRtWmfOBVzbjHF6hyskZHOznZxTBedtI89K1iKhHXsaW0aGBgQzi8fY4jl8jc3y29qGLZ+YJF+rd48MzzinscY1doqhKnDPpai0fxsNquyZ+xz9y5xTKvtzlIJfGkWrE2a3Xf4sGTjaKwN5kgaGIjX2RtF3HMAi2JrInWMGcaqDQzD7lhlkW1WXz2HWbNmiWO+iiQWMLX2c12d4ELDqHF+kYHlD2t0knOB+nrg2muD/z5yxPpB2uimurKmXZ3UGilkiuBaNIXVdbZOlj4RIrbZ0QSqWITMutH1UeKi7zXuvHmWi6wtmozxELdCL9vsnD7trivOSq5YoW1qe3q6BZ2tOEeVbWxo9VCt6RbFgOtYuJ9h9Wp3bd9CoVG4mbPAt6m1zmMMCxa4U3CYI8las7gYWq6GSZPcObuFQpvH2GbRRb8GAgZGHKXUtAgPY2hs2ybX9BzKyqxUcPk+fGrS7BnSaataOu+HJIYw58w6YN06oMA1oa5OMoCKMZA0OvKTT64Vxw4fdhs8M2bY8rUZfIGGaLQ1k8l4xWFHCi2lgqW3xQ02V2rMkKuuutJ4Bzkute8zkxkS+7uoWGcU/PuyraEaTZ0xSlkARUMx349Gv9cF79j9bcGYs2c7hZPRR82PQw/nQsKocX4BQvM0dnfLyfp8R3KVShchzJwpPa/WCd9X27C9vcDGKNAmRjap7dvnpiKXjiCvrtBrMJqthssvv9zYAkZF1vNfm5vDUWnfYsCMG6soiUbtHRiwRkJZ3qXdeNBEsxjNVgfTFnDnILa3twrj3IelSyW90wqm3JoD+1a0scFSFXz9wK4XJ5OEbSJmz2Z57gFYH/j0A/iGMb7cy02bNNFLCUbN18Yeg0+ESKNBFooVK1aaztecmMlksog8R3mMiVDlcPKkNEa0vtTWpkLhm7tZWSRt48wU6hsauABaBfpw96FbgcsvB/KMrs2b3Sk72eyQmWbL3qFVb6Otrd35W0PDyCm1vrFlXddXrpRCaFanuyZsyZlm+vWjDpHy8nLVyc36TdMPsAZXGLT9cjabNae3aRoqcYBVANJQXl4m2JU+Vgh7Ro1pGIdY7sqVklU3DNmnWok9wJemdfFh1Dh/FqCr6/zUbp048Sx+8YvCz2dlka6++mrTPX1eS+skccUV0lCNM7rHqKL65J4QDgtfPdQ41KlnzLDlze/f76uFG55MfW1knler8arRQQ8csPVDKpUU5YDizptnUQJrLV6rerMPjEKqqRCzNml0Nmu9eaZe74sq835wb9jWr19HrmEzRvr6dMPTiqgBlUwmzY4+xuQoFiyNxVpT3Oco4nWU3f3AnIz2yLIbg4P9ZlFI5mzWqk5YI2rs/vPmaQwcWy4oYC85xsaBNZKmjY3Tp1vMBhJjSmmwGnnMAak5k9m1fOUXrfMYqx1tzZvXcuOt0VlAUuEDh0R8ZoZeWUeivl5WW7AK8PrANFQ0QVw2NljangbteygrKxPzkp7OA7BxprE2WHqb1iam8WAXxtN/9wXyLjaMGufPAhRXP9OOF75wN17ykvAx7YOx0iaLyZXh6ppuDzXz4lqVXjUw6g3LzxluTxKTJ4c3FlZBHx8eeughcUyjOjIjOQ6HQD5YWbF0Or78OrYA6oIiCeFdZlEuf5vcY/jw4UPimFYGZvXqVeKY7oyy5zkysUIt0sFyZq2wK9q3j/ie+WCRxBkz3GVgZs2SUfLt22XN+hyKyZs/dixcWrCkpERlGTGBOc3g4e/c3Q9xMJL8sDFDWLqPxmKyjrN0Oi3mXl/ElJVn1L5R65zBSh3W1dU7zy8vL4+FEq6BMSLiqDii/eZLN2DrmdUxqOHQoUPimMZqYPm6vndk7SeWIqEZPNZSh3FgcHBQLc1p3fMxrY1FixY5z2fpeFYHt69fmCDduHFuY5jN3XZBNjfS6UFRzjHO67ugVUli6aksZXQk0Bh8FyNGjfNRjAhanWZG03r88cec57ONkHXBKikpUQVFdu6UHj9tM8XKZemQk6A1ulPMZkrb7DCKr5aLzGjEepvk4usT79i3TwoJstrnOSxbJkWLrJtvXUk9I3Ld4q6bWcxYHuk1fHQ25kzS2Cpx5GuvXOmmIrNyXb5Fl+VNWt+TJnjIHEnxl20JXy+bzarUfBYJiZPe2dws524fvTLqZCwGmiOTaW1ojhvOiNLekfztmS5dyqJyp065qchVVVXm9AP23JqmAitHunevpMYXD3tJSFa7WjdIrAwGm3OLVxKx3jOhViRhtGOtMgwT59TvL9vLNXWGEWUHDA4Oqusoqwdvncc0ozBqpJ4vMCdCDhMn2ko8svehzd19fb2iegGbz/MRh1aSVpGEBSaiLKV8pFJJc8WVZxtGjfMLENmse1DOmfPMiR4wr6zmtWTQosJxfYzaZaxULVb6xpobreV1DQ0NUcVSDbNnzxLHrCWCopG6fPT06Mq4hVzfV+rD2tW+uumFQItcZDIZMTZ9bWRRb2ue47p1Tzp/s9KUKyrKhAjX1Kl2PYr+fjedzf6JyrGhMVuKKafIaOcaeH6dm+XDSt9oYE5GpnysYXBwUN3gxUHhs5aE1CNgfgG4KOw1i22REUa/tgrv+VgbTKBV29SyOtFr1tgcXsePu9eTTCZtpoSz38vLz3+UVYNPGI2znNz9cOWVV4hjVu2eJ590z93WkpOAXDOTyaSqX8BgZzCYTvfCKgTLRFK1eYS1V6Pmc2aNVkotJYx9X6UaBm1+ZhUprA6JOMQ082HVgmL9oPU9E+LUxt748eNFYMEnDj1a53wUzyjGjrVt/uPEqlWSZqvVc7R+LEzwwZeHHBWBGBoaUiOwVjBjQVPMZujuthm7vgWTiVHZa9W6+6ap6RA5qtcGjdIKfeWBrDl/LKLKKKXD15I32LNHi+7YJ3YWVdNpsPIeWnSUlYLSMHHiJHM5IOvm7MEH/yCO1da6nVXMANRqu3PofcM2pFrEiUGLRlrB6KM+h561H6xla5jKcZw1xQG5AfNt+FiKxJ49mkNq5KXONPEmdi1f5E37fhlYTXOrU1o7vbOzQ1W7LrRNmjJyHAYdy0EdhuxnzcEN2NvE9Bw0xp0VbE7ytTGqAxNE/uOL/jNHsJYuwFIFfCmAcZSE1AI+bI+gjQ3rHjSRSAjmiU/Iz5qq4tfvCYNFta2pXr5+Yf2qKflXV0tDWRN5jENrQ9PCeTZi1Di/yMA8xKmUbSMaJ9aulSVJNGiTBMs5ZqrB+WDebo1GZTUKH3xQ5mtr0Gj+hcJnaDNKuqb0Gke0U9tMJRIyX1uL+lnumwNjF2gpB0yFXHsPfFy4zwc4NV97bnuKhASLvA0jK6icPlaGdWwwquj8+W6hsJkzZS63LphlBzdU3Q/G6jpr4GPDfX2m2O8T5YrD4NFKNTHWE0vxGYbdEI4yT3zGuVWJ3PqOtm3bIo5p0Z2yslIh0FhMv2iqwWzsM7r+8P1HHg3yrUksMnj2rOa4sZVFYqipcUeEJ0+eLNbAYqL/2t/s2iU1IzSHBHOu6esJ0zzRGT7R62Wz2SJE2dz9wFIkNJFH1l5fBQbr97J1q7viCsPixWwfYht7WpphNpsRz8jSmkYC9o60NYk5knRFe/ucwcYZE3TOYdWqkae3+fSqoo5Rn1CyvRrOhY1R4/wiw9GjMiqse6Hjw86dbhEkhro6qZRphY+mxSMXtslp8mQrnc3tkGDePetk6RNuYQuaZhRefvka0/0ZtNzLbHZIzR9iYDVorcazT/12pPBN9mzR1iKaS5YsHnGbtI32kSOHxILm2yxx2ruthJfmDGtv16stFAJrGgkADA25S5fFMS+tWeP+phjjwZc3z6KXej/I3zSdB5Yvrs1LxbzzKPxl/UZueGrpAoyGr5VfLCsr92plkLuII5MmuXPvt2yRDgNtjVuwQBpP9mig/jurIqGPPXlBV3RxEKX4RsPfAh/7GJBnZGjzZCKRiCXFTVOobm2VLD0msJbD4sW29D0GX8qTdn8GppCvC+3JY8xgz4FVpLB2SyqVUvuStVcTbPOrjvuh7ZeHhobQ1RVmOvoEei+7TGqo6N+o/I0p7+eg6QgwpFIpkhpgn2u19EarM4y9D01fhO0pjh7V93vFpPBdyBg1zp8FOA9CjAC411T7IFm5LpbDrYGppOajqcmmtD53rqSEawaP3RgZucpx3MqaLM9yzBh37iWbSDVPLfM2+xbxSy+9RBzTIn8MmnHONzru95pMJsQG00oR98Fag5y1N27lcpa7phmvrF+3bNnsPN9ao5UxA3xCY9ZvlInTaCgpkctk3Lma1ug8w4kT7jxHLSrIwOZuTfCHISpKFIWWs8swZ84scSwOEbocMpm02bnFr2PXTXCBzd319Tb9DV/9bGt97ec+91pxzLWuD6IMd018E/DxjwN58yl3CARobbWXUmPOpJISd4Q0ju9Xv4acu7UUQMt1cpg1S7KSmDq5dq3Nm92lyVgqmQ/R9aS8vByJhC3lTkuJY06duCvJWMFSqLSxx6Dtrzh7QnOs1oh5w1d1wlqC8bHHHvVcLww2T2uikwz+CkDxljd9pjFqnF+AsNpmcZckcME6qbGSRVoJr7hKqWmUVhbViDP3knk5x493T0KpVEpQ832UcCs1n+Vaa4Ywo1H5NtqyPabTvX9jjRYxASGtzEwqVSKiZr5xYX1GVl+bOSlyYNFUrXRUMWDGvlU0K06wclk+Y8faD8ePS6eO5pBg9bV1p8PIS6mVlZWp/cCicEx0p1iwdx6lfI8U1n5jDoM4y+f09PQIBpDvW2C0YD0v16b6zRyQnGURgGlppdPu6CgQfyR+pOjv7xcOal/eL0uf0TQ7rM+8YYOcu5cvd2vPsO/TJ+Jofa/MaBs/fuSRZQ2+9xbN1/bnzdvAHKua4XnppZIuvmuXW9eimLG9e7fcXzFdoBxYepsv7WmksGqw+MDTg9z9zASLtWcuhppvLZF3oWPUOH8WIO662BZo+dHMaaB9QHyDbPtIk8mkmtvV3CxVVPfutTk3rBOHJqwBcGM4TjBldi33cvFiRr+20bR8au1MifzoUTfVsbGRiYHY+kErJZNIZEW0Ne66tKy9eu7lyEuu+N4RMyQ0R8wVV0hD1epUYRvpHNiC7WPHWMUQGVgUSoNdU0HvB+bI1MDFEK3fqDsnnM3dPlqhNV2AjZt589yGJ3M+aOJKxdSbj8KnEOz7faT3Z0KF2lgZP358EdR8Ce0amzZJ4SdXRYMEMlhZdhrYsQMouDSl7DfmmAn9BUlh6OmxOZR1yI7TnFUsCFFM3rz2Te/YIdMMtTKYK1bYhGwZWP32fESdvX19fSqLSXOYFwrNWcXYR9a51gemz6D1NXPqxJn62NHRLnRPmNhyPqZMsTGQ2PNprFj2jnRmhn3ufrZVXhs1zi8y1NXVi2Pni9bO8Lzn3WA6XxOoiiMyk0gk1E2nNa/r6quvGmmTRA5TPjKZjNh0+iYZtiHUcrHYxK+VhzrXRifAqWsanc2a82dd7AYGBsx588wbrEV42HvV8slYOR4rldJaHgjQo5Fx5CJrpc9YtMs3Hln00tr/2oZNo+0zsHfkM1yjzzg4OIjubvd4tNbvZe/Q56yKgtWSzofvmy8EZWXuuZtpnmj9vGiRTeOBXcunfG4tacdSZTTjgmHbNltpv2I2rdp6wujZrgBBJXrxg40vBZYtA/KcfnFTkZmzVxsb7J3rWi/yWppjKA4RsUQioTINrWXFtHrg/PrymTV1d8DOQrziClnSzgrNUWpVRmf7xygbQP6NPKYFoazl5lg/6AK99nnMapwzaEEmxi7QMH78eC9b5tmOUeP8IsMzWed83jzbva0bZJYz4v9Aw/fIZDJeL6EFbGJevny56RqsrmUO2WzWnCtz1VXSYTBmzMhFrnJg6sHa5iiVSgrHiq8mchwlV6w5S9Z61T6wDaxWqomB1+cNsH+/VIPXMHPmDLH5L67evPu75ZRA9/lVVfL7iZN+DfBnsNL4NKqjVWuDjUurWE02K5kc+di4cQNpk7sf5s2zjctiIHUn9I+c/ayVwYwj6s3KEmnwOexaWmx0VObsjTP3sr291ZyCxGi2Piq8bJNtrbeWRfJVneBwt4npzFirB2jz2MmTNqcNIMUNA2G8+LboBw9KR7C+rss51OegY9CCR+z+msgjG2eas6q31+YkKSkpEY7Uqiq3WJsLmrK4NV+b6QjE7dxi6W0VFdregTmrtP2KjdVXVlYmRO1YWdZCr3cxYtQ4vwChTWaauua5Bsujevzxx03X0Gu0Sq+rVvMSkB7wbDarRqqtkxoz6Kqq3NFDK80xLmhRNgZtM8XGmGZclJaWCq+8VYDK16Z162TO3/z5boEqNpH7aq9bYTcyR754aKyQkpJSYRCdORNfTi7AN52XXOLOm7/8chkZOXTIpj7r+2ZZdEQrL2lPFzCdjsFBuTHzpR7FsdnStC3YMzMD33rPfEQ3eL5I+v/f3puHyVWdd/5vVe+b1Fq6taB93/ddCAkQYJCJPTM2fpwEO0xwYht7HodkEpwFhYnjJeNxMsmQ8RNiB08mtrE9dn5+AgHbWGxCILQ0WpGEVhBSd0utVre6W73V/f1RLtFV7/e8p97qU123qs/nefTY3Lp97zn33HvOefdly7iSU186ygxym5SSPEajUbYhtI/L4MuKyWUwddfq7+9jSh1bWBXKmix5BLgo7yaFkYweXctCVVznnUBKFdelNlNB+TSk3+N7GWld1717SPG1cuVK4/nII8lWb17LgQO8eoFk4Ufx5S5zJiClqC2Rqwt3asnDDSmyGhoahKvpv0/kwTdxojlRMnpvpGS12mfU3n6VPXeegT4ZVAEon/HCeZ6BtIRSSQKXIAtwR4dZENaSSYygiw9Ssi6iGFjJZQm5G2knJqlOLhHRK6+8zI6hWPoEdo1jMmgc5ER+MTaRZrKp1SIJ2yj8Q4tNY45cCKWwCW1JOzQOSKBJ0NR0kSlWJEUVkZtQEun70Qud+vcCWfliMfOGCnk3aMMFJC+i8+f5e2Erh4M2nUGge3iotFIC5KGhdY13jc1dlIPKx5m/0cuXufIMWQ8T1NTUWOa59JDc1Hfvfo0dk2IvsTCia49tHuvpQYqj7FqhpHweVVXV6koFiJoas3IIJUltaOCx9AmkxJ3pYtunoTVc+kYlRW26aF2HXcf1Iq8kyRtFXzaYv8dSsra+vj6m0LZ5z2jzlaA2oRC5BKgcqeRVhXCdoBd/W7o5Q0q2ee1aB+uj5GVIpPd8CTteOM87+BdTU6OLJcoUW0KgVBYv5pkytTGwx4/L2am1MX9oQtC6qUuCsJsSLfJFtN4TqFauFsmdrbv7upiIBoGEGynuCT2S/fvNZWC07qZIKNTGCRPJY1NaymOyXG52rl1rZ1mObddHsfyonRKSwKN14UMutpkoH6VNrS3RXzposyLbxkESJNK9nhx7qQuRmD+fJ5zTul/bFEPaNqFY/iVLdEmutB49mSQhkhIU2mI/U5EECYy+hBcSVCWQN5u2zB5KZpags/Oaeh5Dv2tDvaRYYKRI0ibCtPVB+24iZa+cE4S36dgxczjP22/rK4OkJhIsLy8XLZ7omUieJC6830aOlPbLeqWUNkQD9RklTEugDUeorR3JvJbs+UB4v6V1XVs1Bu0ppDxC6Puxjb1PCOcJHdo6pZmjz5yeiuymzq9vE0S18dp6Dbi25Ap3FZUtixHmxoUtGQP/RtUk6CqKFCfvw/ssubNl4vKHBF9twhoJVPNZalNZWRm7v+sQEhTXLNVpHjGCL6iSQsIV48aZ3b7RM5RyPGifYV0dTxZnix/Xvn/4GZq/8wULeGIx1+6dqRvz4uJidYjMsWPmDZO2/CKyqGkVq6kCViraMmirV3NhxGX5xba2NqZktFXSGDuWKyykuHmE1M7r1/n6tmLFctX1UzM3D5bUWtZE9kRhqUjj1tLSorYMIhfs3l7zOqpdQ5G3nFRTHIVP2EreughtmTXLrCRB57e2mt8NlCTT1sZUpWXc0OBOanr99dfZMUn4R16DNgusFmQImDrVbAlHSDlPtBQVFTEF4YgRcklI7fqA1j/p3VixgicftYWqaBmqktJDhRfOQ4i0p0GujpIlN/uYG3vyJF/QJDf4TNy0UieESCQiagnRhlFyZzNcRXV9qXRUJBJlGxttNs/4dcxtQvW1pU0ndvvVlWmyLeIoRAK5b0n30CInxYowjwVbTLl2QUP9mzHDbBlbunQZO2aLf9OCMpFLYzd9+jRwvrnP6DfJSozq07uuD4zOlyywKGb3nXfMZf8ysZqlulJGo1EqLjZ/o7iknct6wtzV2uZx4KIkpFSzGD1DtFmXkONNuUBoEzpRKEFHh6Qw1o0RCmOThJHa2pFsHc0sbt58NlI+oHKdLpGUmET43XNZO7qlha8FUhjJUIQa7t69Gxw1KzXQM9TOnTYLbKoytru7W1S0aNdQdD6aCxOgPElNTW6NWajUZ0WFOZRk/Xqeh0WvZDQ/o2vXrrGkkDaPHW2IEU7kZw6f1Ho+ZrKndF0iL9d44dwzKKTahmgzhxeUOMhVVLt4RKNRqq01xw3u2vUqOyZZ92bPHnyGelsCktSJMxP3HO3kKsXNV1fLWlYOilGvFf8CCeeNjWYl05YtW9gx7YI2erT5vejt7VG7O7soHSXHs2mFLeSaL3sjIGWSVI5HW7EBIcUNIqHXVlMcbwp0z06qt/vOO+bn4YrUd7m/v19MIqfPtcGfhxSjh9wspTmDSBasEegblcrsvfzyS+yYVBVi/Hhd4j+M/B6hd1MrXGjdr48fN1uIysvLnZQgkoRLlIDxwgUsnPdSCT235GGiP/gDogECtHbutnmRYGWZeRyQ+7dWuSUlwEJk4ppfUWF2U0eeAW++yROsJdCGHiAkQwMRt0rbPCCQx4OMbowuXx68giaTqhOoDGqCsjJtrg3O/PnmMpE9PdfZnra1Va5ghKtY6AwyUqJVbfLR6uoqawK4VLxbuyenoMzIQ1XnfPToWnasvt68mdJOpLbyW4jUDzIIAqeJjqZOncaOoTIsElKtzSCIqTX8q1evYsckFzs0aUn1SE0bLfP1+Q0ySeij3dRqkVyRY7GY2mMBbXamTJG8JPgxqQwMSvwnfVNjx45hC1omCa4kd2RtbgHDHTL8DYM22lLcL3rPpG8UJeyS3tWZM3lCMOQan3y95P+OxWKicH7kCC93KIEswLacCrlAilPXfp9oTpRd8/mY2qod2HKipILym0ixlwjpGXV0XFOHkrguyzSQXiql/2/j/yD67/+daICrt/R9ImzjIMXsIlau5G628+frko1JtZtPntTlUyDiyuNIJJJB0kQzSBGsHXupRFgmIIOMVll18OAB42/vvIPyJJnn7pKSEhaqYg/Z4NeT1skjR1C+BakcKbfC25IG5wKpz1qrdm3tKKZktFWdKDS8cJ5nRKO5KxcwezbXcp45w116JKTF4MIFHgtk09SmTqRBEIhuS9rFCAnOcpv4JKtVOtjaqI/NHnxpH8kVuaqqiilpbFn8teOAXKA2btxgPB9ZjM+f1yU0tIFipuSEPAh3mrUxY8awBQ25iQ9EW+ccjYOkrEKbYFQWT8L2riArhbSpRXOothShhIuySzZQHgnJ+r90KXfbl2pHZ+Kanxp+YMsSjjIUnz17Rtkmyb2TC2woXnowaMcVbTAlpYPWmnvtWjsTzisqZAEPVYDQKmgljh7lwsiqVeYSXii8LZPSnFq0ydSksUdrg+1dQXsZl666aO6WPCSmT+f7HNdxvShEQqoug56hnHdIW2aNh7dlgvTdXrrE1yupxCPycDp3zhxWlYlLOCppJ40DqkWfiULKRF9fDzMS2Pe9Q2SlHCK8cJ5nINfCobKAoJJFJ06YP0gXG1JbFmNtIhqENJEePMgnLWmjsGiRlGgtPWyxmyhTpjQx4olfN5FJizgaZ5uGXSsUSpZ+xPTp5nJG6WJbpA8c4Bp7Kf+DFF+O78+PSS7hHR3XmBuh63wUqE1Slv3aWj43uRZUsVXN/C7dfPNG5R10pQVRVQsUlzgQF5YQqepEEHBhQZu4TIvNOirF7LoACRKSK3JNTY2TpJT19Wb3/jNneAbkvXvNyqpoFHklSXfn7ypKWpd8PX7B7m5JKEx/7YhQjCoa3yI6c4YozSRvEyaMV1vWcdZ88/YWhUhIyirJMy1dbHHoSJEqeUlo11CtKzKqbJPZ3G0eB+SVJHl+3HLLLZk0IAkUh/7+vftYAkXb3kNbaQOBlNgJ0DNHZSIHA9qvlZSYFQYzZw4+vE16lxobG1l+HVvViaEqKT1UeOE8hEhu6m1tfLKePFlXxzpT9u/XJU5Dmy9tHIlNuLB9sOmgdWfDbklxUCIQeUHjP9pKWWlL2t166xbV+UhZIVn/Ozs71O7OKP5bWuSwS7jZna2/f/CZ1m0xq6hNUgm3m27SZbtGmykp6+r58+fVCePk6gnpIQk82nJZxcV8frCV8MLWFHP+ABduvHPn8lJjCVDJF5sHgzY+WtuHV17RlbRDChdtnLstCRGKg9RaiqWcJwjJ06u4uDiDeG2d4ubMGbMAiFizhieP0mLLioy+UWkckPV/7Fgs8FRQFz1z9CNE06cTDUhShRSbCYIgUJdSQ2jDz5qbzR53kyeja+ne1fJyOeGtdl3XlhFESOuViypAmSSJlMq7IYWLNiGpZBEOgn6mHLDFzWe7vjZK6CtRVVXJDDK2iieIpiZzVnu9JwsfB7mEsT7EyJZfJ9/wwnkB4DLGWou0aKJ4oltv3SJci3+QtnhsJLyjjPYJVq3iGkqkIc4UrZs/UcCsBJlka9cyaZJu43L0qDnGNRbrZ0KhbTOF6vdqlUxSMrWDBw+xY1KbSkqKnWQslUDvsrRoou9Bsu5k4s6GEi1p681LAjhyv5M2U3Pm8NCZzLxjzPdA5Q4lkOUReRENhlQBKhKJWDa2vH9SOR6tmzpK7qbdhNpin6WYXQSq6yy5zmsF/a6uTnVpTqSwkOOftW62/Ni0aXKoVyq20lG2EKRUkFA4c6ZUCYMjKavOnj1jLcOXCrIAaz0MJJACUl4v+PVt44Dba+4E8kqSSqTiuduc5BGFB9rWk9RQFZuyS7uGNjToSokiZbZNaahHlxAXZy43r0n4WzC/v1VVVezdtCXrxLXXzfsrbUlXlHBOKjGMsL0rjY1uS+TlGi+c5x38DT12TLfJyRxtpkxdHVtJqDaBPljkCpigvJwLI1JZJC1IAJNKTBQVFbEkRbY4M73VjCcWGzfOHHs5dixXqsjt0QuFqJZ7LCZZfXX3QG2SLFpFRcVM22wrpaYFfadr15otY8hq5roMDMpELrmzVVToyh26cGG3ecdo74Gs6iiGLgFK5iYL+PrvIXUOKi4uhnNVghkzeNiGzTqvQZuJOjP4c5JiL5ES9eRJcyI/7Th0d3ezjbstoSISVKXEk1pQLKjkpl5RUQ5cwjOJxTT/DfJKQt4imYLLL8oKdORdI4VtaOcMpEiS6s2jkpO2evP62us8REL6fpAiSWt11uK69Cd6hkihmwDlSZKqHWTCG2/wCkTjx5sV3Gjulgxs2nHo6elx/tzTQQrNQqG3Wq86G7ktKe0eL5x7BoUk5KGSTFIyKJSsJ5NSahMnmq3CaGJGZb0SVFXpEnyhidSWkMcF0gSONu1SaQ0Uu6O1QlRUyKVvUGiAlGxGKh2SLqh+e4L+/j62QNoXOF2CKm2iMFv5oHSwuSKj2DVU0zfBzTdvUrZA586GcifYFl1kQdIKJJLA09MzeMFDO48FQSC6U0reDekilS07d+4MO2ZTAsuVO9JDChc4fpzfX3o3JEElXWyxz9q4X70iiVvyJVfk0aNHw4RqEqhN9fXmdX3nTh4igZQI2ntKSHH8RFhocymgaAUktP5loqiU3j+kfEA5DRJs2qSduznS90nEvQNsYzBmjL6aCL+G2ZhgC+nIFpKySuv5gpD23VevXmF1zqXSbkT6ihHoXUaVpBKg9eTKlVbj+croV2Ob8hkvnIcQyaMLCZ6ZWJwzAb38KNOrhOQqo00CE0e3aGqtoRs2rGfHtJs+KXarv7+fzp9PXmRtkwxySdcmwzh92ryIp07sdvgYaDeINrDbom7spdJUvb294u8IlPyvtlbabPD2ShbYt97SlctCbmKZJDLSJiHSjoPkDppJiI5cHouD+iApJF5/nVtGpD4jJaMt/hXVOe/oMMfNozlF60kya5bOFdk2Ntp4be1mKnWetF1j+XJu2dTOS9J6RSSH+yDQPCZlLteGtsRi/U7itaurB5/kKnN4n23vHqrEIX2jqBypNpP/3r17jL81Nuq9J1K/n0gkQjU15jhaNK5XrpiV7i6EF1vssraMn1bpjsb0woX3wJlxGhp4niTpORQXFzODjN1Aw9sk7a+0pXMR2mSatrh5fZUZHdq5e8qUKSysy2bk8sK5J6dIWsJss2oVX9C08TvSB9TSwt3gbfGmqRv9IAiyHnuCnoOELXmGbeJMBWmvZYWBTnhCVm1p3Kqrq5jbkm0zpRXyULIc5LImXUtr3bGBhWFdLL/0/TQ2Im23+RlNnz7DibVQugfKcix5SaBNBKo4IZFJiERVlS654Nmz5tAW7aKPMn5j637myO7cnHXruJJRSpqHsD2HVFd427uINltahZQEau/ChbrknzaFnVahh6otaJNmSeNw8eIFtXIVJchqa2sV/kLnMYSYO9c8dyNcVxZAwoitbGsqkiDa0oKEZPkZoTwsLtm9mysZJSUMCuk4c+aMyybBfYIUN4+Q87DoKCqKsvXM9n1qvWcOHz6oatPSpdwiLSnQEfawKu7lKnk1oKTFyL3fJdqkqfmOF87zDMkd2QVr1pjjxJGL7Esv8c36++gWbCSo2CxOyDLY22t2pdJuInbs2AGuYT7fhbupFDNPhEt7ZKKpN8Of0bx5Zne2kpJSZpGybxB14/D227x8nOSWu3TpMtX1MwFpx6XNOs5Gryt9I7kOo/cShZbY/kYC9U9yZ0PuclIZmEziHNE4RCLmpU0qR+cCFK+trWYQxzw4aNxmzjSXD0SZohsaGoTr68ch9Zu3WalXrODJOSU3WO0mWJu0qLS0zIlLuGTh6eriburIXd8lNoUhyjFy6ZIuX4wWKZZ/6tQp1jKWHF3SLBRDLuW20Iamoe/HVtIOIed+0H2jSBm3ZIl57kZKm85OnVBoA2Uilyr64Ooi2rh58/mxWIztQ90nkONISkNUAch13Dxyex8zxvy+btp0MzsmVfTR5iV67z1UeUZ+310rwHONF87zjHPnuAVx4cLB19YmIvrnfyaaNMlsmcfZgM0fjIv6j8gqNhAXriySwIOSlEnubCjjuLaNtqzhaEGTanEit0ltmyTtcXd3l+iCi9DXaOVIiZdw8hvV5a1eGyjO8cQJc5ITKYFQukjWlePHjzNLhM0rQxsnrH2G2vr0OERC7w0gJUdDyaNkYZT/tno1zxyeAG10bN48UtLIdJHe18OHzeUfEWhDqP0+bVUn9CXt+P2lsA1klXvzzQbj+ZWVleocI4ipU6cZf3vttV3sGLayxpk3D1mYdcKITdBFoV7a3Bkm+qiYflD3YaLPfpZogNv2e++ZXZFLSkpYm233RL9Lljb0PUohCihEwnW9eWSVlrLWI0OAdh6TsO290kFbOpdI9qzShjAhpPKLvb19zCpt845xsa6jhGkJtJ5mRUVFTr6fri7dnk6LNHejpMio8stAtJ4vYccL5yFEWUUkAy0z5jd/U46P1m60Z8+ezY6hkgoSJ0/KE9Pbb+vcO9EmWOtO1t1tdtmWy+gg9JmdtSBhRFuCSMpo39XVpS5BhKxm2nrzp06Zx14SkhHRaJRtJGxKEq1rvjYhHK7fbbZcyNnuMciqJm0UUJv27TPHze/e/bqqPSh3Qmp5nnTaJFlgbd4E6VxfWwLP9k1r822g60kKgEuXuMJAahPylEFZhiVs3jNaN0ik+NQmV5KEnVisT51ETPtNa0HWKxQ2ISF5qhDheG2Jm2/eyI6Zqk70UBn91ZSHiR5/nGiAV4L0DTY2XlSXUkNztVTtQIuLMUVeEwPRvntof6Wt7b5r16vG36TSjCZGj06ud28LbUHPVXLZRuENeiWf7nwbyNtGUkqg+587Z3bNR8peqQ9jx45l4Qqp45IOKJQwAVIySiAvR62XqW3cbFWO8g0vnOcd/A21CbDp8OKL8f89fVqq061bMJHVTsoymQnaiRYJ51rBUnoOR45w7fvo0VIJryJmvbRtarV9RgoMVB4qAXKr11tAZdA9bJnFNbS3y3H+qZSWljGrmdYbwMbLL/OSdlLtaFSO59AhnQXU9s2ijZB2IZcspFrhBZVMcr2ZQiWIJC8flOU4k42rRGqW46KiItGKi54TSrqTKeiZ28pZadEKIyhOWS5PpVuv2traWAI4SYlJRDRjBlfsSvXbtd/DhQt8TOWM2bzP9rh4nesvErhsoVgakHu5bQ5AlTikEEDtnIIUSVJsNMoNhOJ6BwNyU58wwSzw6OdRfWhL6pxlU7JoPeiQO7e0v1q+fBk7JinuMwnnQSXBpP0Vmtddzt2ITJQkEsgzTXp2qNydnLxQPw5DV1J6aPDCeQHgQoi45Zb4/2o/CumjRi6EkmvKiBFuYkakOt1XrvDYz4MHDzi5r4m6OnMZmEgk4iizuXnctMmjVq3iLrvaydtmCUSL7JkzZsXQmDF6zW8qKEPv+wRsI2FPuqJdQHS116dN4xt/14IqUtxIZWDkZ4jgfZasO6iOuwvl40DQM5wzxyzwFBXxZfLq1VbhDnrLeWpcY9wbyvxHS5fy+tpaJIEKZTm2ueZrM3yjZzJr1kzj+eiZHz58SLj+4L2SbMI59jIZfH3oBGhOlMpDTZo0mSW0ymTOqKw0K4YOHuSJNQ8dMo1DQJPLe4mam5NcArX7jEySpbmM1+7r48nfJGUVEpIzm7vNf4Q8lqQ+L1nC5wxtmyThn4hXN9AmTMyEefPMgjAKx9MbY2RQImOJdeu4l4m20obkudXc3MTGwVZ1wkUZzCVLzJWbkCJJW+e80LKx28gr4fyll16ie++9lyZOnEiRSIT+9V//NddNGnJwLGDmb21xMVG6nuHo47jjjq2q+0lu6PqEWZxIJCK6s2ktXiZ3PfP9eXul+NdYLMYWVNskhBYcSSGB2L/f7Iqsd9XkfbZt1JHgKyXkkeLE0kVyNbt+vUudARW5hGvd1KVwAe2ij0Clm2xIpWmQlUK70ZZizZBwbpsDtOV4EFIyGylxGgJZRrSxzP39/RY3WF3GbPTubdiwwXx1YPGSQp6I9JZ11CbpOe3ZY871gViwQBdClUkJL21lEDRGWtf8/fu54uT960fUYW7o9JtuMsf2Xr7M5yXT3F1JnfSTnbcT1dcTORaKBoLixaXvAcWnaksBnj1rVibbXNjTRftNSYp4FN4mgZPayfsMWSHCQYKqDG8TUpwkOHGCJ5KV1+gI219p3wsiopMnJeu8+nKMpUvNgnAsxp+RTSExZQoPHZPXE/5bVZVZkblvny455/jx45yEeuUzeSWcd3R00NKlS+nxxx/PdVOyiuQJ9N57urg/Gx/6ENFMs7EiCRQPGo2aPyBtpkx9fW3+QQZBkEHct5mRI3l8nzZuXhLAYrGYVauZyubNt7BjsnWeH5PczQ4d0pX6KC0tZW5TmbmzmUELsOTOhnjrLbeuyChEY9Eic/Zb9O5LsWYHDug8OqZPn842Fra4eS3Hj/PNjgQKVZCtzm6QvVH4OEiZvbXtReXjtMlqgiCg/n6zwuDVV82xoggpk3u62L7ZVCtZJrlQJMWQ1iMBZe+Vqk4gbHMzSkopbWq3buXKbG2SK6nPzc2NamslUqRK1nkXyCVh+fOzx8XrFIToe5DqzaPrv/eeOSEpyodi+xzQeyDvr+TrpXL27BndHwC0wrcNZAGeMsWsvEV9fuMNniA3gba9paWlzBvGplhFbbp+3fwNvvDCC+Co+f1FnmauBVFk2daWeNR6uEl9qKysYuuHi2SA+UReCed33303felLX6L/8B/+Q66bkjP6+ohGjiT64Q+JBjtPfvazjfStbyUfk5JBoeyne/a4q22Iyg1JMblEOIb86lVJONdt8JClXcqKjOo/aslk4pVCG7SWTTRRjx9vzhVQXV3D3htbjLq2j6i+9qJF5pg/VAZGqwSxgYQ2t4smHzfkYp2goqKCLWhSXJfmvgnQBk8ah61bb2fHjh3TlYGxPVOU5bikxBxjp7cg6dqEBJv+fn2yPgl0/1Gjao3nI+XAm2+aLbCZuGanzt+2TS0q49Tc3Gw8XxufihRfciJMN1ZnLXLCNt04XL/ezXK9SO8FEdGcOTyxmJQhWpsIE4GSmSVA1lmbBwMiCMyDk9m8ODhsFlj0buoNFuZxQGO6cqU50zhK2qpNHmgDhUNIJbzQ3kvr1ecid5Lt/tL3gNYCKRcT8qw5eFBnQLGB8mTMFKx2yJOxuVnyrNI986tXr7DnbttbF5rlXO+vkUd0d3cnaZETAkMsFrN+cLkkbnQ0v2ltbUT33Rf//w8/HBBRZiUEbrutlWpq6mjgo1iwYD6BnGZEFI9licWSJ87Ll831e4OAT2yyRTUA5xNJOqSSkuKkv7FZbIOA30Nyd3733XcoFku2tpw5c5aIcAzcihUrlX3m76NNY/nqqztp27b1Scfi1nns3jt+/IRBj4Nk6ejvj1FfXyzpOdq+L/wNmtuExq2vr5+I8LOqr69TXR+1yTYOp06dpIULkzc3b799kojwxnPVqlUZtWkgK1earTsXL75HPT1jkzaBcQWC2cMgGo2q5sIg4OMmCTzx81OPSvfj42xrX2dnp+rdWLBgwaDfPeRFlOD48RMUiyUrFeMKCbOisba2Nuketj6jcZgxYybt3InPR3N3e7s5jCMS0Y8D/qbNc2t1ddWgx0H6Rs+ff5disWR3zbNnzxHRNHj+qFGjaMSIQDUO6H2dMWMmmSqF7d79Ot13X3JOj7g3ChZIRo8eDeZu+/cz8G9SY9BT6evrpVgsfRdSNM7pJFePxWKUmAyuX+8hIuzVM2bMaAqC5Bwgcp/x91BTU02mfIENDfvpP/2nLSnHDhDRMnj+0qWLwbugm8dscfPNzc1snY0rJfD4RSLpvJ9ym0pLZQ+jVBdp7RxgO//KlRZ2TlzJh7+HFSuWq74HNI9J1T+6u7upqelqUgx2POmkeQ2dOHGi8nvgbZI8m1pbWykWS/bglGuv8zkgk/UkLoNgOWT06FGD7rPk3Xb58mXq66tK2ss0NjYTkVmJsWjRwrS/h1gsBteToSDdexa0cP6Vr3yFHnvsMXa8ubnZ8nLnls7OKiJKL9boG9+IEJGutEqCtrY2ampKLtPQ2VlDRNjicejQIWpqSi53JWm0Z8+exa5fXm62aAVBwM4/efIsEZnjko4cOUKTJ78/kacu6qn09/exeyxatIhMYXzxyTr5/LgAhhfa7u7r1NSUvCOwudlfunQpaQMVb745VvjChQusTZIb4vTp09j5Ug3T/v4YO/+dd66TaVPb2nqFjh27mLSxiCvCzAtabe1Ido/6+joy5QuMP9fk81988QAR3QnPv3DhPWpqSt5w2iznzc3NKkvF1atXWZs6OqS49fj7PVCJIZXl6+3tZddvbS0lIpwc7/Lly9TY2J8ksMTjQ82bwvr6enYPKVFYR8c1dv7x461ENA+ev2PHDvrP/zlZKO3oMMe/jRhRza5vS8p1+fJl9jddXVVkEs6bmhqpqSm5j1LcYm9vD2iTWeAJghgbZylzNFF8szVwTYpnMjd/P9eu8XG4dq2CiLDn0969e6mpKVmRJCX+mzmTz922jNyXLl1KihOMxzmaN5379u2jESOSXVilzP+xGJ+7pazIaK6PVyOZBs+Pj1uy5T4uKJhDhjo6OthYR6PmcYu/e8ltktzQZ8zgc7eUGyOxhg5cT9rb5XF48cUX6eabk71fpA3khAnjWZtQ/o1UmpubKfiVh9fOnYeICOeruXr1KjU2diV5MSCvuoFcudLC2lRbO4ZM1aA6OzvAczWvD6WlpWycOzvlXDKp1798OUpE5sRbJ0+eZO9/EJjDkhYuXMjuIVU86e7m89iBAxeICFvPjxw5TE1NyUJyW5tcBSV1Xorvxczzd3t7O/hG3yWTcB5fc5O/F+n76e/vZ9eXxJ4giM9jA7HtZSorK1T7sevX+V7m0iXzu3HgwJvU1JRsIJL2GSNH1lJ7+6WkvYwtaTTay0jr+oEDB2jTpuQ9qiQLxGJ8HFCce4LEPDZQOI+XdjML583NzZRubuxYLEZXr16lIAhE41w2SNeDs6CF8y9+8Yv08MMP3/jvtrY2mjx5MtXV1alrhQ4llr2oM0aOHMGyNB44sIuIeB1TovgklHp+WZlZ2B4xYgTV1ycrGTZuNC9OkUiEXf/iRblGa1lZWdLfBEFAkYg5Fmzz5s2UmpiyosK86Uy9fvx884J55MgRqq9PXuxGjTJ/jNFolKZOnUpjx76/GPX0mAUFonjoQWqbiorMm5fiYl6ubfnyGnruOXx+UVGUnd/WZnajikTiMe8D+2DLQD979iw2DhMmmMehvLwcvHvmcTh//jzV1ydnFpfKZZWXl9O0adNU1v/aWj4O0ajZtSvRpoH3kDa1I0bUsOu/884BMgnn0Wj8+xkonLe3y8oGlKV1+vQIgZxPRBR3VU79m6tXzxiv39fXy86vqjInUpo+fQbV1+tc4MaMGcPuEYmYV+m33nqLPvKRzUnHiovNZY4WL17Ert/dLblfx8dh4DiPGiUn96usrEyK/Q2CgEpLY2SqNlZTw8fh2LG9RMQrLRDF5+nU86V8BPF3O3mNXLJEzug7duzYpHvYNoTd3dfBPGZOsPaBD3yAzRlSvixUpnLECHPJovb2diovL0/aG9hKEE2adBMb6+bmC0SEv+uKCr6GlpebXciLi4vZ+Rs31hrPj797dUnC+fXrcpmm0aNHgXnMLIQtXLiAjcOUKXaf0rq6OqJfhTpIIQ+NjRepvn52knB+8aKcrHP16tVUU5P8PgeBOZQEzWMlJWeM51+4cIHq6xckjfPMmWalZ2lpCbv+iRMnSRLO8Txm3jvExy352PLl44yGBjQHdHaa3z30fY4cyWtuD0SbnBOtccXF5rwTe/fuoUceSQ6VKiszJ8GbPn06u/7Bg3LoTOo8ZtvLRKNRqq9P9niYPr2CTNXRKir4XubEiV1kejfQPFZdbV6vKirKWHy2LRs72ssEgVmhfPnyJaqvT87+X1bGS5QmuPXWW9m6LkSHUjQab/NA4fzKFXkv097eRtOm8ZKKiFgsRpFIhOrq6oZcOE83D1BBC+dlZWXww4pGo0M+IDrclWKRmDlzJngO5kU2EomontuZM6cpGk3W2Pf2dhMRnuxKSkrZ9W33KypKHssgCKiiotKoQYuPffKxQ4cOEBEuTYT6LMUl9vR0s/Ol+LpoNEpjx45N+Rt5/KNRNA7mNr3yyiv0mc/cnXSsutq8OZo7d456HFK/Kdv5LS2XKRpNtkhdvXqFTBrqSIRf05YZPfV8KYYqEolScXHy+XENuqxM0oxDY+NF9pykzcyGDRvYu2rz+NGOw1tvvUULFiwQzxnIlClTBj0Okpttb28PRaPJ80M8ls2sMdfO5+j7WbZsCb3JK0QRUTwhT+rlT58+ZWxTos/J4yALLy0tLUxhLFnBVq9eM+hxkNp09uxZikanJR3r6zPP3URxF3PNu4fGoa5uDJ026G7Q3B3PebIGnq/tczwUoijpb0aPlks4zpw5g411PJQEC+fRKHou5jbt3v06RaPJCUClzd2YMaOprKws6R5Snop4m3TzWHNzM0Wjye9+U9NFkry94veJUmIAbd9DNBpNWmdtVSeqqirZuxGvHY0FaNRn6ft5773zFI0uShHOzYLAokWLWHtsrvnaeWz//n20bl2yAlr68/Hjx4HvQb5H6vnSvgH9TW9vL0mhLdp3D30/69evo6eewuffdNNE1sd4Esf01xPbmLz99glauXJd0jEpd9O6deuyOne3t1+j3t7SJNnHNg6lpSWqdw/tfaQSqfHzk9u8f/8eIjKXZtWuodevd2XUh6GWBdO9X5glVE+WwQlKdOV4pIRtKOnKTlNQJGHtnjbJQyQSETdUr7++ix1DCdASoMRiWqQ+BEGQUbKbVEpLJT0bH1O5pjiPL9eOg60EzNmzPFmTlLkcZajXUl9vdk/t6elWh7ogDwptYiTJjV5f0o5jK2mH3j1pHLSVChDLly8z/vbWWzzhheRuSmTK4iopGfkxKfZSziCOGLxyNQgC0dVe8t5Jl3nzsMsiEdHly9y6hJIGDcRFrdxJk8yujjt3vsyOSS6tUpIlV7io45yOwDMQqVxWdXVNRqWfUpHqzaNqHqdOYatZHxXT6/N+g+iTn4zXbc0Q2zx2HpgppYRwNmtoOkiuxa6SU0nzEvJMQbXPEyxeLFUSSQ9JwU1E9F5KsgWb99msWelZOiWk9x2V/ZPRz91orC9dMnsYjBihLTnJ2zRnzhzj+Z2dHWxdtyVA1JaqRX2WSkKi91IKYaqurs6o2kchkVfC+bVr16ihoeFG3dnTp09TQ0MDnTMFqnpE3ntPdndLBbkFS3EjaFLRCi92+PWkzMhx60j6zJ3LS++MG6fbhJo2LkQ4LtLGsmW8xuWsWWbrPCI1rmogemGEY9MOaudd5F6qfZek5xyL9f9Ku5w+CxdyizOqHiCxZ4+5DMxLL/EM9RJjxoxhz91WlxYhCYXajPfuv3cOClHSasNR6aMEWCg192vuXL5xQsckYrGYqLQ7dkwWlFNBAuDAMJR0cL1XQteT6kNrM1ejLOTaudsW66ytr40qG0g1ixFSeahr1679Kl/BwPbI10O/SzWGNdmpe6iMfvxr/5foySeJBgjEsqWQX8tWztCW0yGVjRs3sGPz55vL7KE2SaUuUZUXG0ihLYVuoWco7X2kHBP4+tmfuydOnMCOaZVVR44cNv6mrXNeVlZGo0Yle+9lEgJ74YI5PAeVdJWeNVLQoBK/g0E/t6Nv1BwK09HB9w3SPSdOnMDmIFvViUKT5fNKON+zZw8tX76cli+Px/Q+/PDDtHz5cnr00Udz3LL8JJ6wJxlpkli4kG8s3jVlXMmACxe4skBylSEiNpESEV28aJ4Y9SUdWtkxyU0d0d+vE/psoJrmNrcoDahcVnm5WYM/ZsxoZm1H75a9TeaxefPNBnZs3br1/MRfUVPDF3gXdV5toPcxgXYctMqC8eP5gubCK2Mgr77KPV8mTOAbrATLl/NyPJJ1R1vqkAgLUBUVUuIOfo+WFvPmXjtuyJKTmTXTfONLl1DcpPn7WbduHTvmuixSqvLLZp1E783x4+7K7KE5aNIkcw3loQAJIxJaAaml5TITzm3jgBQGLt8N5A2zZg0ORSDCilib5U/vYceP1daa524tSBC2tRF5nrgswbhz5yvsmJS5fMYMHhIgCcKZ0NTEc7RIVmGEy9rrkUiEraE2C662lBraM0ciZlFs7Vr+raR6KAwWVNJOsoSjufvwYX6NTOnr62WJnaUSxoVIXgnnW7ZsuZGNe+C/J598MtdNc0o6ZUlcgCaV1avNiyba/KGPOlNQlnUpdocoM8ught27eR13SfB04fYrWS2IcF1neVOrF3hSkS1/vD6wVrC0gSz9UjLCBQsGPw42Ghp45h0sNMWRNkIItMDPm2e27nR1dbJvSFZUuQHV0E4wfjx3LXb9bki1sRG33LIJHJVLC6YiuSbGyxqmHjMn8CGyJx5Lh1WrzPF76Hs/bQruJqJM3DtTXVhtCgmpfBBG1yakBJIyndfU1FgrA6TTpro6s3Ueefm99hoPtdLeU6KuTvaQQPOolMxPt3YEdPW9M0QdHUkbGykOfubMmWw9ycwqZv4jFF737rvmbxQpVSQBDP1mUwwhRapU2cJF+Izk6YXqjdvKwmo5ceIEOGp2hcdztwSau81W597eXuYdZktsKRkuEOhdRp4c0vkXL5qTHmfyXiBlkjQXutjnSt/06dOnmNv79euy55TkxZuP5JVw7sk+ksDz+uuvg6PmicBm9U6HK1dkt0KbhTYVNCFoXU6RUJbApkxIh3Tqa6ciadi3bdumur/WWtPeflV0aUIg4aaqSrcxPnzYrMV34ZKHPBQGgjYqKPYxAcruq22nZJk/dYovaLZNrS2GMB2Qy9r7beLvqnajPXq03qLV2WkWwlzE5Erxm8j1P7O4eR2SwPPCCzvYMZtbYSpyQh6+obZ5bdieSSqovUuW6OJokZtrgrKyUrWSBLVJcp1H4QhSorCNG3HlFDN8PrEJVPHkhvbrJEDu1yarViV10gt7thFVVxMNWKvludv4k+pvJKUhKiUqeQG6iI22uWtrvRCRgCSvJ/w3KRwAWbW1Y2MzNKA27d/fYDwb53kxXx09D0kp2N/fx+atVE+UVBKevNkC77vNVFZWsj1kJtb/eJJHDMrTJN+Cj4OUrwqdbwv/HDNGTt6Zb3jh3JMEiqFLoBUkkOvL5s2bwZlmGhvNpamIEpk30wfFa48ebba+axcjKZkWvj63OtuSqGhBfZg4Uc5+m4rkstTT06e2hiILMIrvfx/+7l2+bI6bRx4P0liWlJQw9097QhLd93DlSqvqfIQ2T4QNtNGeNMksKKJHInnPaN2UV67kbvAoQaENSR45cICnZZfmNq1ywIViyFYZA40DimVMINXdRSAvjyVLcEULE7Y5QYrZRaxcuZIdk10dtckZO9VJIRGSdV67npSUcEVSOjXFB2JbI7WK1XXr1rJjWkualLvi2LG3mELB9ty0+RO0oORvWiWf1sPHBlIeL1qkU1YdOWLe76GkrTZSlYyZKEKl+fNNU0kNA6hkn03Y1oJDJMxGGtQ/FLaXACmSpLltxIiRrKKDzdCAkJLp7dr1qupaSBC3JXnUIuVRyke8cD6Mqa/nC5o+u6WZeGmsZFxYrQaCF23zSl5Tw12aUKx7piDt9+TJZne24uJi5mFgjxPWbTqRC5+UFRllu3etMEALZLYTekgZ5IuLS5jVzBbLpm0vEgpvucWchX71al6z2uYenYqtjWjjLsVruyk7oheaXIK8caTvYcUKrjDQbk5s45AaqhKNRqm01JwMClWRaGtrc9am9nYusLn/Pvl7IFn/kXs2CvFJgBOSmlvT2cmFc1syKFR54OxZKVxAB5ozJC+LsrJydZZjbeJWdHmt8keaA2KxftYHqfwiES61JikltDlP9u/fx46tXcuVFAlQtntt0jobKHxGss5rY6O13w8RXx9s+wbtnIKs+ZIlHGUhR9UGBsMbb/CkrtOmTTOejzw6JIWelr6+XjETOsLF3C553SJvIu08aWuja8NFrvHCeQgZqphzFwlQJKvS229zl9ZEpn1EfT2PT81k0pA2L8iF7+xZc7Z/m4t5OiDt7VCCNgXt7eaN/IIFvPa2dhxsSYhQaADaACVAoQdaNyrUrwSxWD9TGGSSTE1rNZU20i5CJGwbdeQq1tJi1kDfddedg24TSkCVALn92pLfuPi+pDkjCNwJHmlfIQjE60guu+kiuQEePcrHAceHxrGVsMR/w49JmctRCTEpTlhKsoThz9umTHYjCJvPR4nQJCFv/PjxTsqEobU4wS9+8Qt2bNcubdy8BH9G48fLnl4oLhhbHOO4EEaka7iYu+P3ML/DaC8jlUi9/fbbBt0eWzLcVOulzUqtLSuG3g0pIelQgBRTkteQ7CHIQXOG5E126dIlVtnCZnRzEbaBjAkJkFGhsVFXpWi44YXzYQxyLdMKFygLsHQtKYY8E0EYa4PNq6Y2y+Vtt93Kjsmxlzr3676+Pqvrfiqofu+MGdOM52MXWHMppt5eLpRq47pS3arSu152hRFJi9/dra9zPn8+rxOtLbsi5S9ALuHSOKD4Pm0SOiI5czlCO2dIGzKpdrAJbQZu9AwlgWfHDl28NtososR4EkEQiKXDbLk4UkHtlZImojGVPRgiTpLaSbz9trncHQIlj9J6btmSQUkx7AiUZAtZ39+Hj4P0HBJJcgeLrGgZfIJR7fm2rOXYg8J8ExQnjDwJ3wfFRpuVyRcvusmmrXX9lfYS9vhvOzbFT3e3WSGC0NbXRjQ3m/uMPJzk8LZi5qVh89pA15Oy2qO1Rvs9oEz6EjZLOipTpvWekfqAFKvS+fPmzWHvKwrxSfd6+YgXzocxjY26TM5oQdO6z0ggK4HNKoY2W3Js1+A3Lhs2mDNrIqRauUEQqGOgUBKkykqd9VCayFC8tkRVVTXbRNj6pBXo0Ls6a5bZnQ1dX6opngnIhXDGDCnBGm+T5IqM3BYl5s2bz74H1wvWq6/yzU5xsVmphtxN5SzhHFsf0Bxk21ClohWyJFAFiUzi5iXhAiXUkr4pFCfc1+eyzF7AlL02QRhttlDZrQS4f7oN5NKlurh5m7CBEiNJrFrF4+aluVvrcn7u3Fm1gHTTTdxrRJqXXMwp2kz9KMv9YEAef7Nn6xLDSsqz997jLvW25zZjBn8mkp5FOw579vB1XVKio7hp1+UX0fe7eLHZswr1+fhxs0ePlGwRUVJSwrKUu1Y6avchyJvIRW6MgVy4wJVJo0aZFXRoHJB7//toPQqjzMhmSzDthXNPQTN9unnRRJkyf/7znzm7N9roSKU+iLBFVeuOLG12Xn75JdW1sIVMq4GUZxm0KWhslOLrtAoJfv6cOWZ3tvLycrbIa7Po20BxYlKc8LJl2c2gSoQT5kgWHps3QTpohTxtwkQi+X1B4RCSOxuK15aVgnrlGbIkRqNmK5G2OoM2VhMl2JLCSDIBtUmau1G+hdde02UBlgiCgH3zNivb+vXc66qry92mc+9eXkpNoqyszEkYk7SZ7+vj7q4nT5qFCxeg+tkDQS7j2Y7fRN5fCZDg7nrjjSx5Uqmm4mKt1VlXwsuEzXNDA0pIunq1ufwi8gxzWVOciOiVV3jtdWneQDXQ9aFk5t/6+/vZ/tF1DiCEVCIVWbVd1hQnwh6lSGmX4I477mDHtEpBaRzOnTvLPB1tc4DrBHO5xgvnwxj0skvJy6SYQwQS5rUTmS3RjItFW3LhQ4KwFDdvi8lKB9umFrlqXbpkjilCHg/aBU2yRPb0XHeiydW2qbnZHLOkLbmC3kspgRwRDlc4eNCcbAYJI9r3V1KSnDhxnHks2DwYtHHCCKkPttqk/Fp8HGzubAhpo6Av8cjbtHw5VzokQB4PtjJJ2jZpS3ihTO7S91ZWxoVU7feTiXu1dg6QYpFRqTZpUztixAh1/gL0TKSN9i9/+Ut27OJFs1suEka02DwYkJttEJgHWxOS1E9F9MvRm4g+8hGiAW6qkvu1vtY8RsrgjhSr+/ebQ4w2bdKVtEPvMfIiGggqwylZflGCRG0pNQmkaHatJEHXQ+U3E2jduVGfpZwnPT09LDmbbW+DPBm1ifakbOqnTqFSh2a0eTDi8DZJa7fWrR31WZq7Ozs72PphS4aLkjDmM144DyFDlRAOIZUjuHxZVwoE1QLWlss6flx2N5Wy9SKQNnDuXK4hlpBqKCOL8VC420iLAYrJLSkxW3fQtSR3tvb2drWGH8VZSosmejeksn9aRVI0yt2otK7RcbL78UpCZyYJ7FBMutbCI8VeImFEekbItVPKfGsCWSgTXLyIXE5141ZZmcm7YcaFxVZSVmlrKK9Ywd2vbV5MqUhuv0RE+/bpLNt47jYLr2jelZKExWL9GVSlGLzVTlof0Nwtv3soz4ucQ0JKIobYsGE9O2bKXN5N5fSncx8l+uEPiQZ4DkkCB6qeYltDkQJCDheQr5cO2mvYhDw8t5tvgty/JYEHtXf37teM58tuypjURHg2l3DUJul9leY4fH3+PZSWDn6uHYgLi63kqYKUvdJ6NW7ceNamTBIUooTOCbS115GibNo0XR4hW4iCNoQh7HjhPIQMlXCO3GyPHjUnssDoGqtN3mRDW8Jl5kyuXZOFGl3/0IZTEnaKioqY9TITIUsCbb5WrNC5fWsTUNlAi7YLt+8ESJEkbabKyyuY1czuDaB7N5DHw7x5ZsXQlCn8W5ESyGUC6qO8wUMadneuyGgRz2QjLVn+UEZ4SRGDEovJSkN9wqxUpWgkEhG/B+QZIltYBi9Eauu929B6VaDYS5duv5cvt7C4eZsXEwqrkuPmdW1CiiRtLWvX8alIGJHKKGmTf2ZSzhUp/fWhJOY2IUFVmrtRJYRM6oZLIGF++nSdZbm3V5fvJteuxci7QUowipSMWku0DbS/kqpOoL0PyryfwIXbvm0e036jbW2o1Kb5fPQ8UELqwXDokFtX/1zjhfNhzJQp+kzOGlDMH9psJLC5EadLbW2t8Tfk6rh37x4n9zUhlfqIRqNMMLC5g2o3eNpJa+NGXcI7hK0e9ttvc8u2ZMHRl1zhIPd+CVvdaO04IKudlMV73jxz6TdXICFTUg7pY/l17p2ojq3WspcJ0mYKCcly0kk9qUJm3IvD/IJJcf4I7buK5kTJqyoajWToaZIMUp4mQDlJZOv74LXcNjd3lPxPK/BI7UTeQbKlfbK6lBraVOOQtDhHjvD1RMpOrX8veHsy8Z5paWlV3UMCecShsU+A3mPXHnRI2Yv2NwkWLTJXZ0Cg90IKFSDiz8lmaNA/E96mpUuXGc9GSVtRTpDBcPEiz6Ei7X9QBSCXNDc3s3GwKTGlspoYlMjPrDREFYAkz0dEoSV8s+GF8xCSS7d2Lbfeap5okFX7yBHzBzlyZK2LJonubFK8OAJl15VAC5rkStnf3+9EgyjFDqNJTbLA4hhF3Utp06CjOEep5Nz69dyVUl973Wzd6erqVFvhkGCt1XJL7mwukohlkiVcEoaRYK3tM3JdT3D27Bl2zOZqjGq0uoy9PHDgTXB98/lIsJGEHUQsFhM3ti42KlLVCXRv6V2NRKLqcAjUB0mx+tJLL6quv3ChThhB2HI2ICWN9t3TepNJie5KSoozjDlNZurUacbfUCZyU0WSSuqgXzx/c3ywB8yv2iYWFclbVW0Y06RJPMeDHDPLj0kxsN3dbrwVtN5kBw+aFfEon5B2HGz15m0hFKmsWcOVjC4TvCHlszzOESZY20rQoesh44NLJOVsX18vM/DY9jZYmaQbB2nu1iZWnjBhgtXAU+gM794PA6JRs2ConUBQfKrL2MtMFjQ0McrlbXQTDkrUIcfNcyR3tlgsZrXQpnL77bexY2iz8T5IYWDe+B84cEDVnpKSEnX9YC1onGUFgC5/QSbJq9D3sGSJ2QKLOHHCXLP4tdd4PKC0sZg6dSrbSLhKrpTARRm01IQ7gwVtnoqLdW62UnkbqY4uAiXxkhQSJiSlBK7fa36Hp03j8eJSor1MKjxoS0Kib1Rb3lMCJcibPZsrciRsc/O778pJilK57TY+d0uuyOhdlUK5mpqaqLfXnG8B4cKyrUUbA2urOqHt8/z53CtJLpHK+yyVd0NrqE0QRln1i4qkbxQdNY+NLaFWOnR0uJ27kfJBSo6J+vzyyy8bz5eq2CAqKsqZkGlPEsmfueTBgARV6d2YOBEpxC1NUoIMSFLFE3R/bf4niVGjRjElo00xVGh44TyEuLKc/+Ef6uOEkRtQAuQGL2U41U4gzc3ccmrLfo4m8tZWnduStBFFCgwps2Ykwj8p9xlO+QVtyZc45j4jq3Z9vbnPI0fWss2WzRtAW57qF7/4OTsmlYFB76pWq28D9VGfWdydm0xVVQ17N1zHdR07dowdmz9/gfH8u+++mx07eFCn/LE9I5TsTEpEhAQDqQQeQs7Gm96xwYAE4Zoas+UaJb2UKgtoicVizHpqE/oWLODvjZR4UvtckeCcSWIkGd33i7x32tpanV2/o6ODKXVsXkwLF/JxQN95AhfvsuRijbKQu7JEJ0BCpt7jQOchYbs+GieX+XBQpYKlS5cYz1+zhq+vruPmURWJiRPNJbzw/tSdpR2RieJeAoVISJ6PKLxN8kDNBLQWSN8oylAvKSrxeinvQVOfuzZcJ9/xwnkIcTUXfPrT+tiaVavMAg8SbrR1lLUTo80iq3UX1XLyJM9YKbl3btp086DvacvcjNwaJS8IqcQSAk2kUs1LokC9gGnfA20WZZxZWtdG2zicOMEt8dI4aJPwoWe0Zs0a4/nNzc3sObmuS6tNFOaiPrAN5LInWRe1oSqIyZPNmcuRG/zRo3wTOhAkNEpJ7XCJIPNmCinc0DEJbSk1mzAixeyme/9o1HwP5Op84QKv55ugvn5sRrWoU0FhFglQjLykJEHvhXbuzCSXi34Poi3TZf4+9aUOMeXlZuXQ669zryRJaYgyo2uxlcVDsdDa5LDad0N631FFF9dKRpTHQlqzNm3iyTm1SO9XV1cX2+faPL1sJfJSQc9QCsFB1YGQgD84dN+vpEBJF2l/9d57F9ie0hQ6kwB5w+QzXjgvUD71Kfs5WksErpVrPh9tFiXLBRIKba5YOLOreaJBls21a3n9aQm9a69Ow26Ltbl6tVV1/3XrBl9fW4pZunTpknXiTAVZtrUTvhSDqreS83EYNcqWnZr/zdWrZjdYFJPlMvayublRrSRZsgRZTnSNQqVeErz6KnK/Nl+rtpbPD5ls1ru6zJY2vSKJnz91qlk4x9eX7ynF66WLpMDavVtX+gYJI1ohTyr7RyS7BaeLvFnnzxwlb3qfiNp6ik6X3GC1iQRRTK4WW7b2N99sUF0P1ZrWhm3s3r3b+FtXF19rMhEKJQ83hORlhGuKm6+F5gxbH7Rr6ObNt7BjcqgKPyZlCUf7PRupHks2BTeO1zaHn7mory0ZK4JAb2iYOZO/+9o9X1+fWQnz+uv8W5H6PHr0KGZlziRbuxQGiMu7ibdgaJXkNiWJi3KkYcIL5yFksJbzDRuI/uEf4oKwLZlFKi+9pEvcIIE2KZJlHlmKbB8kzrxpniVQXJn2GUns36+r3RuJ8Gzt+thNImnzj2o+I5dSiVOnzDUvMwFlsJcSI+HYS7MwgrIHy0m8Klj8WybubNKijLwwJAUAsjofPqwtdahHtvDoFGjaDSfSfruuKb5jB6+9Lo3b7Nn8eUjKH328NhegIpGI6HWgrVmsBSlR0SZUwubtIil1ENu23aM6X7tZbG29wpSQNkUpUlhI1nkX2am1WbdtikptfWAUaoaSjcmYvxG5TCEGlbSTrPPaeG3kzm3LXJ6K66oTyKtQ8qxC89J775nf1StXdIYPIq4QsSu7dHPlz3/+M9X5yINOuybZQEod7LlnZtcu89ytnTPKyyvYu5FJOI+k1LN5gqUiJY52hcuY9zDghfMQMljh/OZfeVaPHj1aTCiCrD/auuESZ8+ixcjcOVtG1nSR4k3RRIdKw7x/vm4wkDJBSiBXXFzM4o1sm1rtZP3ss//Ojo0caXZnmzNHlzQpE1DddFQ7U0KO++W/SQtmNFrElDRS6aj4PSwNTAEJI1IJr9tvv50dc5HBfSDI9Veaf1DSIhl+MUnojMW4Yso2DlrQuC1ebI69RJbCo0fdKkmampqS/jsSiYhzt4sQCen9RVnzM1MamkH3HzWqVnW+lLkcY365e3t7WB9tHg1z53LFTXNzEzjTfn/E88//gh2TLPOjRo1yqmxGtLRwoe3SJbelBVOxCcLomUiCp5bTp7lidf58c53zdevWsmNaF3UbUsUVBI5rdhvqlYrrOQMpXCTvEuTRce6cFDev33wfOsTDUiSvDRTLrw0Zktp57Vo7e9ckRZX5/rqwKqksLPLo0Hrs2NAmVg47XjgvML7xDaIvfzn+/69fvy5qxfX1UPkxtDlJ0NjINynPP/+88XwXcSxERGPGmBfyPXt4/V4pgdyECahNLhOEBNaJMx20ig3JpfSmm5AVRNdnW5bwkyd5lvJjx94ynn/zzRtV90dIcfM9Pd3qzZMLNyptIjIZ/oHaknKhRILSu7FyJXJF070ba9fyjWuCN97gLny2MA69woBTU2NOmtXYqMvWjsgkCZGkKNWXLeNjNGuWuaY4SrIneW0UFRU7GQcpXnvnzp3smJQ9uq5OX0ZQiwtltlTiEYEUJwlqa2vVlTPQuynVFd+7l6+hR45gS1o/FdHR6XcQ3XMP0QClgT42Wg6pSFVu2XBhCJAsiy7K2RERFReb1xiUM2Lfvn3G81F4mxZbpZrz55Pz8di8z6ZN4x4PEuixSmvc1atuk8Cmi1QWVhtugZDCSNra2ln1Apu3gOTRikDjIHncoVwb0vdTVeW2ykw+4oXzEDIYy/nMme+vgRcvXhRLjGjL1qCyF9JmKldIComuLl0iDWTZHDPGnFkTIWlqe3t71Zv/efO4xn7xYp498334CyW5XqL3Qh8b7dZ6Y8s4nA7SAtXb26sux7NsGX83JOs8EpBeeeUV4/k7d5p/Q4wcOZJtCrWul0RE3d3mzP+o5IrEUGQuR6EB0uZYG3v55ps6C9WCBfz7zKSUWm+vWXGDlFsSpaVcESuXLNLHzOrh9+jtNSvItLk2li1bxo5p524cNvU+DQ0NqustWMDDNiRlFRoHSRDt6upUJ89EoPdFwuTF1E3l9OPf/hnR008TKWt2D8RWdULrXYNK2s2ZI1eGSQUp+hMga6rt+0EKba0B5fp189ztwghg64NWKYHCEbRJft96y6zUR9+n1MTy8nKm+LTvPfi7f+aMec+HvNUkBTdKeqlNpmlDSqyZLlIJY5QbSi4LO42FFLnYA+YTXjgvIP72b4k++MH0z0cu2JKr8MqVK9gxWbDUaRmQwDhunNlVhgjH/MlJfzjSJIEmnAULdDF/toQ8WuSa5hztphrFE0nWmNGjRzP3T1uftTF/aLOzdq05vg4t8FIm9UxAfXBhPUyAkvBJY3nTTZPYguZiQzaQHTt2sGNSmT2k3JLKLyJs7y/auGvru2vnDAmUJdp1VYlUC5WN22/nwogLj4AEsVg/24DZPEtQkq033+SZ7hNghYF5zkCeMFJNcYRd0NWtccgi7VLp0dh4kbkS2yzpKM+DrLjX9RkJT1IyKBT2glzpBwN65vJeQ+9arAXdXzI0aN+bn/3sOXZs4kSe+yUBCueRSuxlAgpvw0lKE/BnLoeR6CguLmLfi03hoC0Lq1WsIkWSy7mbCCf/kwwNaO6WQ4y0FscY87qQys0VIl44DyGZWs4//3kiS/6aJNCksnq1WeBBIBc37T0TIEHC9kG6cBGSQAnyJOsOsoxoF1FbEiLkcnr8uFl7rEeXhAjFa9us0NpngsrXSZrU1asHn+XYBiqBhJPoxEEhEtq4eckC29PTwxY0balDO7xNkqsjWuCRK/1g0PZxw4b1g74n8iJKcO7cGXbMJkxrPU3Q97NqFVeeSkhhJOneM0EQxNj8nYlQ6JKXX+bVHCSl4YgRNdYwkFTQM5GsWhcv8nf19dd1mfS1c6dtjUR9lvJ/aO+PPMcki7CU/8EVqJQaGpsE2nKkCFvYHtr/SCWztEIhOl/yfERGAJRcdjCg2usS2vA29DwkxW13dw975rb1ShtGgpD6hcZNm0zTBjIEjBhhTiKndYPHmN9VZCCyhR2iJMP5jBfOQ4irOudp3IkdkWIvpfInCEkrm257bEkeXNQBlbIQo8ldeg4uLKe2yR5tqqXSUXff/QFwVCcUSrS3t1ndDlNBlsTycl3spb7Ui65fNsUQUtKcOmXOyCslEEoXybrz9tvH1RnmsXZct/uWNi9oY65NfiMlLzS3ybypRfFsWiXJ6tXmzQly4bMlO9SWi0PPsKzMrDCQyg4ipOQ+6WJLBtXdjeYs3furrTqBqjgkqKioFJOJpsvkybxMZAKUxEsKFbk5kd01i2hL2qG526QoraQOevaVDxFVVRENEABcW2ARkjCMvAbfftts0URhY67j5m1lY1Ox1U1Ph44O87qtLfuHsBkaEPv2mQ0+OOu4bs6YN8+sTO7t7WElIG3zGEr+p91fSXs+bRWOioryDMIKeZukJI9ISSOXtOPHtMpZm7dAtg11Q40XzguYoqIidQyQFL+jTV6F4olQKbP34W21ZVxFVmSJhQu5BXj8eHcat3ff1S2wCNclvJCVQmsJkATh7u5udbw2cl1bscJs+UOvsfRuvPbaLlV7SkpKmBuufYEbfCZ/LU1N0gKl949F2ai13wNK9pLgwIEDqmutXcs9HjJReEnfEPJ4kKiu1tX3doV27j5+3CzwaHNtoI2/toSXbVO7Z88bquuhGHKXYSTXr3c5UfZqn7UEUiRNmDBedQ3bphYpkyS2bNnCjklu6hWxbqIUa6Tkpn7kyBFVe4iw0BaJSPO3LqeClIcj3eu7LuGFytfJyireJinECK35tikp9XvMZA3t6zOHYmkt7dqY/UxAz0S7Zhw8aF4nkeFDGodRo0Yzz65Mcs9IoV6//KU5sTMC5WGxVcLQYssPkm944TyEuLKcT548mUpKzJaA0aN5IiV9+RFd3FWuszAil0NZ4NGBallLm6nS0hLmjuPaJRwJqjNnmjM1o42O5MqfiVDoPrlUMugZSu5spaVlzGqm9QawgTKRb9xodmdDyopTp8yJyzIBJVJCeRwSaMdNm1gMzVfyu6cHfe+4KkOcTZu49RK5xb6PPplaqtt7JBIR525UeUCbFEtS6KFcG5J1x9X3LLUJCSOytVE3DlevtjG3d1sSImRRfestc51u7XNCm3YpFhTF+btIEDeUpFouiexCFvI8kTJma9m581V2bONGs6EBJZdzXW4OhfNI3l4u5m4bqXOEzdDgIkRCyviO1lfXJbxQhnzJSw69q1euuMsqHwT97LlnEjevRXKSmDKFj5ELQ9ZAtB5AYccL58MYpE3TundKmxdUekcqxyMlltIguf6iDxhnz5TQLVrYFStBxFnZFRNIGJFi2SSX3XSxJYNCVjMpfwFKTiO7UfExWrrUHMsYBP0s5g9tEtO9f7pIbrTIKuj6VUEbPFSiJ8Edd9wBjuq+BylG/ehRbjWzuXui+G9pT4ieIXq/pPNdx14iAUrqw+zZfPMvb6b5b1I5NvQtSoqhoqIidXk3hBTLePo0Dxk5dYorQ11im8e0ZdC0CgP0fUrJxiZPnuzENX/0aHPc/Asv8KSQL7/8sur62nnMFk+KPB6kzOX6eZSPm2QVduXRIe0N0FwpCSgoKaQWaZ4kImptbU36b5v3DMp3oFUKSGX/sm0EIMLvmZTID1V50SLNtRcvXmShZqnjkoptXDl8jDZtusV4NsoZpE1qOtzwwnkIcWU5f+edd0Srkwv3O+Ti9j6ohJc56YoUM6khGjUvmmfOnFFd65577lHenfdZEnZ6e3vVboXI40E7uR44YM6KjLTd2kVOSphFhIURyWPAVl91sHR1dVmF8VSQgCR5hqBniLLQJ3AheGhjmYnkWMOSksEnv5ESZmWSlVmyJKaL5CXx85//XHWtCRO4clDrVhgEgTh3X7sm5+JIBymMBN/T/Iwikaj1m+fweUaau6V4ccTtt9+a1j0lbFUn0DcqCRcof4I2OzVKluQa6X1FMfJB4LYqBL++PG7IY00CKWpHjao1no/mbik8Rkoup6Gyssr4mzZRGBaEde2pqjK3h0if7FOquILh7wHK+J4AlyM1v0slJSVMuZWJa7yUuVxbhQW1V4qbR9iUJNr1SVsi9dAh7gEknT97Ng+ryrYRK2x44TyEuBLO+/u5e8tAkDZLAm0iXH4vqI6tbcOHEo5Ik7W+pANn/XpdtmepLm0QxNRxjitX8vi+kSNrhb/Q9VkbT1RZWckWflsJL20pNSS0Se5sCG2Mq43aWu4RMX++LkGV5Ip84oTZPRaxYMECtoC5XtBQMkTpFmPGcEFc786m/2bleYNfT4r501rJkfu1i2zPA9GWo1uzRle9QGu9isX62aYzk2RQ2iSPcogEt3prswzbhHObRSqVTZs2sWNaoVD6Hs6cOa1eT5CVV6pZ7IJp03QKtbNnzXWjMwF516EQBQm0X0lw6hRPLmebil0oGSWQwChZ/6uruSDusuSkiUWLFqnOl5QkWoV7WVkZU0DYPFG0S+yLL76gOh8pkmzCthZUjk6biFUupaajpKSE7V0mTeLraiHjhXNPElOnmhcIFIv67LPPqq4vTWQoM7vksmT6vatLNyFLbdq1i8eaSdZDbBV0m34fCb7auHltZk0po31FBRfO7Rp0Xc1iJBTOnm0uA7NixXJ2zHXspVa5hQVlbYiEtGDyEAkXGXcHgrw8pIzSKObv7FmzdSeTOEcUliJZYKV8C7hN6R1L0NbGLczIWpLGnVVnowScCVDI0EsvvaBrjdCcWCzG+mjb1N5yCxdU29sH7xGQQLtZLC0tdlLSTquUQO76mYLmOKQgGwjyrpETrQ5+PbvpJvNGe9Ys81qjw/zCnjnDn7mc8HbwfZZyeRDh90Zyzde2CVnzpRJeSJHlOm7+1Vd3smNSqCTah2jD2+R5rJ8JvjZBWKtAQ+dLe5nx43nOIlT1YTAg5ReKE0+AQiSkzP8Y8zN699131ImR9Z5b4cYL5yFkqEqp4bqX3FU3AYo5lCYuFy6wrkF9luJ3kGXk0CFzxlDZRTE9bHGOKOZPSuS3eLFOE42QysD09vaorTVa0CIreUjgMdV9WFICOSIcorFnjzlu/tZbt6juj0DVBhKcPn2abc5tlgPbhpGDNjvm3U4sxhVJWktDNKq3/ksu4VjRpHs3li41xw2iUodnz54Rr6eNUUXPUCrhpfXCyMTqnYo9GZRuXNHpkuCJEoJJtd1Hjx5jddtNhyVLzO/Gv//7M+yY5Io8axZXJGm/H5uSRFtFQnP/GEWpoXYx0ebNSRmjpMzlUn1lDZI32dtvc4Xeq69yRXwCJIxoxwElcRwIyqrf329WKKNs19o65xIunK5s3zhSiJw9a1ZWLVyo80xDSCW8urq62Pdg857RlgRDSOFn586dGfT1baBhksIMXWTBl1zpUelRKSSWCIcZ5jNeOA8hQ1fnnCPFR+M4KnNjV6/mrpQzZui04rZ6qNqkEqgWoiRQo0lLcmVEQoF+UcxkVTSPA8ocKws8/FqNjWZ3tra2NvUGb8kS7kKodStEWVITnDxprlmL4VZnm3CeixAoKVwgkxwSyPNEK6BI2W//7d/+TXUtND9oLd1E8sZCn8VZl0wtE1xsdiRlFRJGJDZv5sl9bMJFKjbFkDZrMp67dXOG7MEQZFDGUne+lCgKgeZuKWs+AnmkDUSq741Yu5bXdTaFTVynCnp4+VeJXniBaIB3laQkcRWvbcu0zzGPpV5ZhUqEyRZYbbw2StxaV6dT8knK5BdffJEds615qc9c+64Sya7zLrKaV1S4tbCOGcMz5Gut+dL+Cn0r0vUnTpzIPBn134JcVllK3otAoTtobpNw7cofdrxwXsCMHz9etMIWF3MXPpdxI1r36EzQWmxxHVB3G7JXXuEJSKSJsbi4mG30XU9CyEVx3bp1qmtIC2YQ6KVUFM/mUuA5f573WVrQqqqq2ILm2hsAlVKT3NlQCT50jcGA3rWJE81afPQMpWRqWpdwFFfmWgmC4rVLS82bSOS2f/q0OXO51pWSCCv8pI0tmrszqQ+tAQnHg8EmNKaybh0XCuUye7pxaGxsZEpGmxfTpEn8W5E2tVpQWArKOSIhVebIBCSMuPA4SGCzkCGQ9VJSVmrnlH37uDAiCRejRvGkrdKckRm6RGFoXpKekVaRRKT3xNKOA3KDl4TtlSt50ktUjm0woBwqkmcVwuWcEYlwQ4Nrl+9Ll8x5lBAbNvA8TVpllA3JozUf8cJ5CHFlOS8vL6dIxDzEOH7HnVsUsmxKmcmRwJYJkgs2iuHCGT3dgRJEJYhGi9jGJpPaoNLYoERo0vkoDs219R9tVCR3NheZZrWWebvwoPtQkdVOSgK0fDmPm3cNyvzc12e2zmO3et1zkFyR0aJvK6WmBb03a9ealVUo8Z/ssaOfwFMVHGiDNRBUe91lbgs0Z0hWq0gkorb+45J204znI2+InTv5Zt0lNqETlfiS3GDx3G0et717dXP3pEk3WRUK6VBcbL4G8maTLOFIkaSduzNJBpVJ5QcT6N1HscAJtB4dmfDLX/6SHZNi1OfNG7z7NVLMDCTVWyazeG0dyJMjAar7fvmylDBYDypfV15ungs/+MEPsmP6XCvm8y9damZzkM0134VhRBtycOBAw6DvORC911O48cJ5AdPS0mJJcjJ4UFKfBN3dfEJoaGgwni/VVtVQVWW2VGstj1Jt7HSRFqgg6Hdi2UDxZwPuwo68+aa5lBoqB6Z107JtapFFSBJ4brsNlUXSISl/uro6rAtYKnV1uvIjCCmTP9Isazcz8nuBkSw8UtKxdJk3b57xtyNHuLJAto66aZP0XA8f5hp56fzSUr4xKy3VC0wu527UXmSJToDCVKTY6KKiYho5cvCxwvX1PIt2guee0yUfXbhQJ4wgDyBbEkkpDMxwF3Zk/Hi5hncq0hpaVlbupEKDFH6G5geTZ1UlddC/vvqbRHV1RBklRYxjc4/WlkhFCRK1j03yJnP17UpCHnqXpIok2EtLMsbw32ylOaVcAgi9AlrnDYPCeWzjnPr92EIa0PWkUBEXCgnpuXV3dzNB1RZ26KJUrZQ35ZlnnlZdC1VTGG544TyEmBRAt9+uu05bW5sYo6p1s5o4kW8iMtn8m5DiRDVohSwJpLGXYmDRgibVq+7t7aOrV3nyCwmkEJk+XRcu0Nlpnqyl0iSIaFSf5diFla+sTEp0xK8vZUWOxWJqzev06by2vFwGhl8fCX4JXnyRJ/6TmDjxJraxyCTWTAJlqNfWaEV1kgcDSnglbeZRe6XYS20Zp+XLl7Fjc+bwuq02JMFw9+7XVdeaOJHHiyNvlPfRW3Js5RPTQesuKYGyDU+fPk11DSlkg0i/hm7ZsoUd09Yslr6fS5ea1WFR2rhgrXBR2XGJKKVkZGWl9O5xpJKTRHoXWVTNQyqRigUwcx4H5NFhe27IyltUpJvHJKS45nRxubciwtVHJk40eySgPkveMygrv0R1dTVTMtpyzyAkD1EU+igxbhxXJLnwjhmIi7lb8nDTKgzHjq1jf6OtxZ7veOE8hCAZYfVqop//3O190CIuCTxIm66P8zBv+lAiGCQADQRp61wkDUmAsixrEyO5BrmPStZF7SJ+4QLP/D56NI+hS1BbW8sWNFvpKG35EVR7/ZZbeNKqBCgWFNXyHAzIMySX5Txqa2vZgpZZCS8zBw5wjwtJ637XXXeyY5IgnEm8NspyjKzXCZBgoC1ZlEnJNz3mjqNY0aoqs8CDhBGppjgeB3Of+/r6mNXM5uY+dy5XWJw8KQm7unfjwgWuSJJCKoZiTFHIlfSNatvU1naVKXVswgVSKJ48aVYoY3TtlCx/aK1xXYoQJSuUlb3ZB7kW9/W5MVgQYa9BqZLL2rVr2DF9olUZVAZz2jTzng8pYrXPyHUOE22oytWrreyY5FaOckxoq2/YQHlYpMowCxZwryTJCKWdH65da2PGElmZXHh44TxPGD2a6OWXX3J6TTSp3HLLZuP5yIogaSZdTIK2MjDaRDTaNh0+fJgdk1yRUZZj7cRks0IfOHCAHZOUJFrvBvSMpk3TuQ67jv9B1iJpLDOxVKZiGwdk9Zas82gjpN18owQ3CVpaWthzlyoLuGL8eLMLGhIMXG+OUG4AKZmRVJcdgdoruSI3NPBcG7bNlIuEWitX8uzNCZBwg5QaLrFZS6SYXRe8+SafJyUF3dixdU7GQbLOI5f0N94wuyJXVqL26OaMTOJJs13zW3o1JOFMQ0mJee/w4osvsGPSGoqEEa1LuJT8kwh/o93d7pTuCElZ5drrCoE8saR62R/4wF2q66NxkFymOzs72HpiUwyNHasLx0TjJiV5RIokrbdlJkju/DNm6L5R7bt69uw5tn7YcgD5UmqerJMq19xzD9E//7O+HqkNbWIxZDWTQAuaVvtly9zqYpJCJd8kpPJuUiKddLHFOF26xOO1JVCNVi1SWaQrV1rUQiAKkZDc2RAvv/yy8bdr13SZoJGVBWXctSG5s2lrWSMka+SFC3q3RRc1WqVcAZLggUAbQkn4NyG5uWq9NhBSpmaU5d/maoxcWiW0c/cLL+hCJJA1Veveaat2oC3NiZByniAk18uioiIn9d2l+toos7M0brfeumWwzbGGiyEFtMTkyZPZsalTzYktEa+99prxN1sJvnTRzrdSicVMEtKlYnu3UB4WiY0beeJWLe+8Yw7ZeestXv3BJmSlKrRtCm50PSmszsXcLXk+xmIxa56JVKQcKukiPdcdO3jiP+n82tpRzO09Ezd4ydDw3nvcu1I7DiiDu4RNOM+l12I28MJ5HvAbvxHPp6KlpqZGHQvs0jqPhBuUCVzC9kFqXdg3beKbOfmj1rl3NjRw9yCJaDTCJk7t4mADTeRynCPvn+QCG4vp6wMjS7ys+eTXR27lCd54A7lOm9tYUVFu9dJIRasNRlldq6t1pWekrMiZuOWieFMpGRRCSn6DY9TN7Vy1ilt/M7PgmAdHK6giK4EtFpm1xvKuIEFWKyi++uqrqvtLbULWJa03im0eQy6tEnff/QF2TM4toHODv3q1VR27jJTN2fZIwFZcM7YkXdpcLygTuZSHBSHFuGqVBUQ4p4KMbq48f54rVVAVBwnXVSdQeI6krELv/unTZ4znv/eevqRdqkLERXLCgTz//C9U56MEdvLcrV9D0T4EKbCke+zYoVuTJKqqqti8mEmyzo4OszFQu8+99dYt6vtrkSuo5B9eOA8hqXLOGh76kxZjxowRE4qgEl9dXe7KwEjZfbOJZL0uKuKv/LFjZsFTCyrfIrmzlZSUsEQXLpJzDOQnP/kJOyYl15g1i2+0hsIV2aVnCHovUdmjBEVFPKmdNvOsjZMnuTCC4voS3H03d+Fz3SaU5TgaNSv0UDyoy3cDXcu1az6yYkuxlyj2DsXovY9+g4dCZaRxQAKSy+zukkXNFWisR440K6uQ8kzKXK7l+vXr7N2wuYQvWMDLB0neXlrL389Bohlpoz1y5Egn1n+Ja9e4cKPNWu+66gR6JufPv+vs/keOcCuyVMt6w4YN7JhUUzwTDh/mFmZJGK6p0So59fk/UrEp6LQKZVTZRgr1QvO667j5vXu5IUDKao/yLWiTqkrPrbOzg81jQ1FmTHLvR5VyDh3SJR624TLXVBjIO+H88ccfp2nTplF5eTmtXbuWdu/WlcbKBwZ+R0FANEsOVTLS09Mjxl7ieFDdRyxZ2ZCm+KWXzJb5yZN1rnEmJMETbeaam83ubHWZuCykYMuG62LiRGWA3v+NvwPIopkAWbC1i7LNxejoUb7Z2b+fx+omWL+e16HWtkmKm+/p6WYWpFzXzZSEs3SxeQMghQh2WYsjZTROl/Xr+cY1wYsvvsiOXbkiKyS0LuFosyNdAwke2ncvEwWGNHdry/iheV36HpBVWwprKi4udpJNd+FCs5IEZahvbTW/G9pcG2gOdW35Q0jCNEr0iVzjE4wdW6fOvo6QLH8onMikrIpRlN4dv5Ro1SqiQSgNbJY/F0pL7VBLSnStF5YJVCM+wcWL3ENDUlbddhsKb9OtcXI1Eq5ktAnnN900+HAB6d3QK/zdfO+SoIiMYhLovZT2yleuXGF7Gdv3sWSJrmQwapN0DTQ/SGNjSyY6HMgr4fypp56ihx9+mLZv30779u2jpUuX0l133SUm6CokkMunxIULF0SXNW3sMloopM0UwmVW8Uyu09ami1FHtYC1rsiSBr+7u0esl4pALoTaeuxSXVjte4GwbRC1Yy0lrkkXyZ2tp6dbXYIIfY8oll4CxZMleO21XeyY9NxQMqtMlEsdHZKFR6fFR78h75UEsZheIeLi3Th3zmwp3rlTV/pm4UJuTc2kFrtkCdfWdUbYKmGkIiurIk4EWUkhoZ0nkfUSlW6SsCWDkj0oOLOApn3LFnMSVoSkPLt+/boTpWJFhZRfIP3rX6cK+vEXG4jeeINoQAiA9KqgOcMWbqDdA95xx1Z2TOuav2uXuYTXwYM8uZzt80ACSVmZWcmNrtfebt7fDIVCUev1h3J3lJSYFRLamuI7d5rz0iAqKsqZ0cqWJwm16fhxc14ilERZaxSbMMFtMk29Mom3V9rb4z2wuc/IQOSztYeYb3zjG/SpT32KHnjgAVqwYAF985vfpMrKSvr2t7+d66Y5JQiIpk3ro6eeSt6ouEgoNRCtKxqymsnX0E04KEGQbeONrP9IoywhTYxIuYHKEkm4LJVDRDRt2jR2TMotoA1HQKWupIV65MiRVFOTrLCwJYPStgnFvK9aZc5wipQDR47oYxm1TJxodmdDSBtprTVo6tRpTEBybf1/5pln2LFRo8xW5/nzuaAqJ/zRu1IiV0cpeRm6nraWuTS31dZyARC59Q0GVF9b+n7uvfdeduzKFXPyQq1La39/H0vOaVPQoZjd1183JwpzIVxIeS3Q87Mp7LTflzZeXB8b/S5rs01pgoRSbXIy6RaoHrjkEo5wbYBB7+aUKVKcsA4puZwJHHblbv5++umn2bH6erPyFu0zXLuEo/C2NWu4QURC8iRBSO9qcXEJE1Rdh4loyw/feecd7JiUeDYTkIJD2ssgJadUb94FLpTw+UTeCOc9PT20d+9e2rr1fY1nNBqlrVu30q5d3MJEFM/62dbWlvSP6P2MjGH919cX0Lhx/fQf/2Py8ePH5XI86FoSQRCw86WSDkHAry9lzEbXlzYzPT097Hyby+rYsWPBPcz9Rn2Q2vSznz2req5z5sxRtoePm23Dd/HiRfY3cqkm9J5J9+DjJlnmI5EIRaPRpPNtGXfRM5We08mTJ9n5ktvq5s23qL8H7fmHDx9m50vx0XV16F01jwP6fiR3097eXurv7086/913zV4bmfQZtUmK154zZzY7H9V5TdDfj+dEiXfeeQecb36uq1evUn5zvM+SMuzMmTPsfFvVCfRcJdAzWrbMrDRE815Dg9lNHbVHalMQBNTd3Z10rm1Tu3jxYjAO5vO168nTTz/NzpesO9XV1VRSUjLo70Fys21qamLno/rTA9HMk2g9sYUbVFVVsb+RQkm0a+jRo0fZ+VVVZuXZ8uUrsj537979Oju/qcms1B81qlY5d/M2SYKwqQ+SF5N2HPr6etn5UrWOWbNmsvORItTWB4m9e/eA881/s27d2qzO3d3d16mzszPpfJvXBh4H3fmSQqKoqIidL3kgsJdrAAAnQElEQVQLoD7bxqGlpYWdL1Wrufnmmwc9DtL5R47wvZXN4DNq1CjYb9M/0xo3FP/SYfDBSUPEpUuXqL+/n2WRHTduHL31Fs5g/JWvfIUee+wxdry5uZmuXzcnPss1nZ0jKAgCamq6nLTBiZfwMmfMTdUu2/rY09PN/qaqyuyyvW/fPlq+PDleRtqARaNRlcY7EokYzje78KDzJUtB/Lkm/40U2xuJ8D688spxIkL1zInq6saw823Wl87OTtAPc58bGhpo2bJlScck6/zq1atBn83tKS7mfb50KUpE2HOjp6eHmpqusmNE5ncpFutn95CSF0aj/N1oby8nolp4fldXBzU1Jcc0SZtaonis1kDXd9u4Xb16lbXp1Kn3iAgnqJkxYzo1NTUlfTPRqPldLSri44Ay9CZ4++0T1NQ0Kun9t20s4mOX+m5Iljb+/XR0VJFprNvb26mpKbkN0qJcUlKSwTzG+9DdXUtE2CW0r69P1Wc0jyHX9QRNTY3U1FSbNM4XLrxHROaQB9RvIrOlIBLhc19xsTnh0yuvvEKbNqWfbb24uEg5jwV07do1sPEwz2PNzU2U6slbVCSNA58DpPWnqIj3Yd++M0TE81cQxfNktLYmWzzj7555k5pYTwa2Y8KECfSmQe/x2mu7aO3a5I24NHcvW7ZUFccbjUbo8uXL4Llo11Ddum4ahwrqpP/7yqcomFpKzS++SPQrj5aWlmIiwkqD+Pec7JFnmwO6u/leZuzYsWQq9tLScpmdf/ToMSLCZRsXLVrExlkCvXs2j+9jx44xgSgSMa+heC8jjRv/ftraSokIG0C6ujqpqSk5FKyvT87sn7qXic/15nmvv5/vA/bvN6+hpaV8npQs4dEoHwfJJTz+7rUkeV7F9zLmGO/Zs2crx4F/P/395nV979491NSUfH9pLxOJRNheJq5UMSuH0JrY0zOKiHDsd0tLCzU1Ja8H8l6Gj4OcN4W/23HPLHOVIXQPE7FYjK5evUpBEGQ9gWYq6VZ6yRvhPBO++MUv0sMPP3zjv9va2mjy5MlUV1dnzcKaS7797Rg1Nl6i+vr6pBdn27Zt4t+lur3X19dTaWmETOvaokWLKNUwXVFh/sBWrFhBqZ7127bdQz/+MT5/w4b17PytW283Xn/SpEnsfBvI1b++nshUonHLli3sHuvX15HB+YLuvvtudv6mTfX0t3+Lz6+oqKT6+uSJdtEic6fKyspo5syZqgnizjvvZMeWLKmno4ak81OmTGF92LChnp58Ep+/desdVF+f/B5I1XbKysqpvl6XwOPmmzdSagjRxo11xk3tBz7wAdYm6ROurKyi+vpk68yGDeZxqKmpoYkTddls163jm/xly+rpFPc4JqJ4roL6+mSh7dZb6+mHP8Tn33XXXazPUpWmuXPnUWoFLFsozIoVfBM0fTqRyat127Zt7F2SKp3V1NRQfX3yBvPmm81t2rhxI+uzrQ8om3pZWYRMzht1dWNZH26+uZ5MuSq3bbuHnS/lGlu1ajXV15cnjfPo0XIfUB+LiyNkMhbcfvttrE2Vlea5e9Mm/ly3bKmj//k/8fm33rqFnb96tbkPxcUl0A1Wor6+ngnnq1fX0YED+PwPfvCDoA/19I//iM+/804+j61ZY+5DUVGROnRs5cqVVFdXlzTWZWXmcUB92Ly5nn7wA3z+pEk3wbnbxLRp02m8MhwV9XnmzHrjXHPPPXxN3LKlnn76U35uhAIad72J6F2i+ro6ol/lxZAc4kpKSuFeRgK5yUvjEF9Pko/dcks9/cJQqauqqpLq66uTxvmWW6R5bD3V1yev6TbhfO5cLnhUVkYoJVrkBvH3O/nYzTfXk8m7+N57+bsn5dmrrOR7mfJyeRy0cftbt97O1o9ly8z7sdraWvDu1dE3v4nPv+OOrazPkuGypqaGpkypVu3Hxo/nCp1Vq+qM+7H4epLcphohjdGqVSvYu7R2rXkcbrppImkrC6K9TGmp+fsZM2Y0G4fNm+vp//0/fP7dd/P92+zZ5j7Mn7+AXd82B2jm7lgsRpFIhM3dQ0G69djzRjgfO3YsFRUVsRqijY2NNN6wGpWVlcEkG9FodMgHRMPIkUTd3fp2avtUVBRlFlRJC4nOl24Zb3/650ci/HwbqM/aPkihkfo+R5gG0dYnF+Ms/Tnqg+DZRcXFRarziXifbaB3w2Wb0Dhkow/8mK1NyWMtezBo+5yb78flu1dUxPtsQzvvad89fR+iqnFOtEmDdm5Fz1U7DnIT9d+Pfi7WtUnb50z6kAjpGTh+ckzr4L9p7ZprQz+P6dqUdJ9fnaidu9O6dgou57FIhK/T8rtXHLp5LBrVvXvxd1uzhg5FHwa/nqQzB2R3P6adi/m7JI9b9vcB2R4HV/OYBJq7h4J07xdeCTWF0tJSWrlyJT3//PM3jsViMXr++eedlPfxxMl2zeLhiJyZdujakS44WVv+3SMfGI59zjXZfua5+n5cXiOM36e2Tblub7bIdb/C+G4gtLkww9gHiWxnXx+K51EIfcg2vg/Dk7yxnBMRPfzww/TJT36SVq1aRWvWrKG/+Zu/oY6ODnrggQdy3bS8xMVEl2+TZa7vnwvCuJlysdHOt415GNuUbQr13Qsj+daHXLQp188h2+9ervuXLrluZ7aVW9m6ZxjukW1yoTwdSvJlH51t5a10vuMiM3lJXgnnH/vYx6i5uZkeffRRunjxIi1btoyeffZZliTOkx7Z3jjnehJMl2wLhUPxHFxOZmEUqFwQxj6E8V2SCGObsk0Y54BCtZwPR0FVS677VahzQCH0QSKMQmG2DUSFMKa56oMXkHNLXgnnRESf+9zn6HOf+1yumzEsyZeJzk8qyfhF2aOh0L+ffBEuvKBqJ9/65cctTq77le31ZyjmUG9cyU+y/Vxz9e65PN+Th8K5R0e2BZh820DmIsYp1xPTcBwH7TWGps+6VTPX7w0ijFZkLblQDGXSZ5cxs7l+5ojhOBcjwtgmCU17A4pQy4QFNHqU8g8LkDB2P9d7g2zPrYU6B/g+FD55kxDOkxlhS4oSRsEvbNcfCnK9oGXbmp8vY+QXtHCQbxanQnVr1xLGNmWbMPbZ1KYuqqQfPHqY6PDhGzXOw0q+fQ+5UG55Bk8hjEMh9CHseOF8GFOoH5ikkAjjIuuCXHpIDAWFajUrdHI1Dtn26Anju5RLZVUm18/FM8z1uA3H8JxCmAPyhXwT2LOtpHdx/lDg++BJxQvnwxhvvbTjN/L28zOJcSoEhUG2GYpx0JIv77eWfBPmw2Y593GOQ0eu+5Uvc0Auw0JyrXzIxflDge9DOCiEPoQdL5x70sYLVHHyrQ9hnEjRPbQeD9rr53rcwtimbBPGPhfCPFYIFthcjEOun0O+tXewVFAnffSxhUQLFxJ1dt44nut+FcIcgCgEgb0Q+qAljH0YjuMQJnxCuGFMGF0ds00u+jwUm+Zsu/IPx7HMBJdtCuMYhVHY1pLtb1Sb+C+MhHGcw/g9uCDf+qV5NyIU0OgLR4guUOjLQBS6ciuM71kh9EGL74P78wsRbzn3JOHS1TFfyLdFOdvkyi0331yLEdlOwDgc38d8I182tYXwLoWxD9n2ACoEct2vQrWce/KTQpgXwtimfMYL5wVOLgXPME44uZhAcj1phXFjPhw3R/nWXhfky7tXCErJXHptuLpHISjotIRxnQzz/XNBGPuci3ksjEp6t+dn37sjX6zOhR5mGHa8cD6MCZugGkavt1y5qeeSME6k2V4Mct0/RL60KYztdEkY+5eLzVEheJ4MBdlWMISRfGlngmx/D2Hcy2jJtzH1eAoJL5x70qZQBZ6weRAMxf29pXDoyRcBySVhfJcKwWsj2891KN7LXFiQcj1uiDC2SSLb30++PY9c4S3n7s8fCnwf7Od7vHBe8Lh0Tck2YWtPJhRCHxC5thLkehORi/uG8V0q1EW20IWFMG7MhyNewWAnjCUhw/jMs81w7LPHExZ8tnZP2hSCxUlLIWxqC3UjEkZNrU8IF34KQUAKm+U8V+RLO/MNV+tDQBFqHzOVaqqT/7AQxi3XfSiE0BZvOTcfy/R8VxT6OIQdbzkfxgxH97QwtilshHEiDWObtORbe12QL+MWxja5JNtzfb54z4RxnHMtICFcKRm7qJJ+8LUzRGfOEFVWDrZZWcXlXsZ7bnk8nsHghfNhTL4sOFpymVSoELSc2uuHkXzZmEuEsb358lyzvdHOtVIy2990GMcUkS/tTFAI824hKEkKwQvQv0uZnZ9vz6EQ+uDi/OGGF849WSOMH2vY2uTq+i4tV2GcNPNlgZLIFyVJtt+lMI5bGNvkkkLo33DcmLs43zN48uWZZ1tBF8b1x2WbgiD7Hcz2M3S1fme7lFqm9x4ueOF8GJML7XGuXSNdEMYFTaIQ4oPyZWNe6G6FYXw3tOTLuyQRtrnbkx6F8Mw130M5ddG9f7GaaPVqoq4u6/lDRb4oSgudXFjOPZ58wCeEK3ByKSwUwsRYCH1wQRifQxjblG0FUxj7rCWMfQhjm7QU+lxfCEpGRBiftSuiFKO6M3uIzhBRLJbr5mRMJBI+y0G2v4fh+P3Exzm7nSyEcSiEPoQdbzkfxoTt4wjjBq8QyPZE6pNBpUcY25Rtwti/QhCGcvE9hPE55BuF+szzpZ0Jsj0X54sXoMfjCSdeOB/GZHuDV6jCyHDscxgJowt5GNvkkkJ9vwtBaPLvXvq/eWSy/VwLYWxy3YdCUNANR+t/vvQhl+OQ6zEKA144L3C8BjeZXC9GuSBfFgMJbznP7Pxcky/jkMvzMyFsbcqXdSaM716+zcWFQCHMAWG6r8fjcYsXzocx+bLgZJtsW5zy7bnlSx8KXfMaxj7ky7uhpRDmQrexl4O/vqcwKVQlY771oVAt59rz820eKwSrcyGMQ9jxwrlnUOTbB5nr++eCMI6Dlnxpr8vyI4VAGN+9XG9IXVAIfdBSCBvCfOlDvnhCZEqu34NsUeihLZ6ho9DngLDjs7UPY4bjBk9LGLXNLgjjhlBLoffBxfmZMBwX5TCOQ7YphO/HM/Ro343rNWOpvCz98/PFJTzX30O+tdcFhdBn3wdPOnjLeYGTy49iOH6QYZy0CjVeO4wUuuUijO+GljB+o1rC5uqYL66UhUA+9auTquiHjzcTNTcTVVXlujkZk0/PXEOhzoUuzx8KfB88qXjhfBjj4uPIN2EkFxu8ME5CLifSXFla883yV6jvkkSuxsHl+x3Gd8kFYdxMFYISQXv/fFMwFML3MBz7kG/9Q4RxztLi++BJBy+ce9ImXyyw2RYW820BLISJNIxtckEhvEthbKdEvrUXUagbc5c5G/Klz1ryTUlSqHNGvvUBUQjflO9Ddsh2m8I4DmHCC+eeYUUuJoQwTkKFMJGG0dopK4aGXzB3vmxqC0GwHY7k2zxWCEoVTZvKqYvu+MstRFu2EHV1ZatJarL9XIfCmyzb71IYc4/k2/eO8H3wpINPCOdJm3zZWGTbpTXfcDFuuX4Oub5/tvCL3NBTCOEFufimw9hnl+d7Msf0rKMUo3FvvUj0FhHFYtbzicIZJuXi/DAyHPsQxj77PnhS8ZbzAids2s/cWy8HT74Jtlrypb1hHIdsu4PmmkJ4v7UUev9ckC8CVa7JF0VpoZeELASX3TC2KdsUQp99Hzzp4IVzT9oUwgdWCH3Q4q1m4SCMbco2YRTm/fdgvwYSzsIocITt+sOVfPt+EMOxD8ORMD4jl+9evihKw9iHMOGF8wInl5udME6CWrK9CQ4jYexDtgWqMIZgFOo45BuF3r8wUegJ4QphPcn1/V1QCO+SC/KtX/kSWlkIeAE5t3jh3DOsCONmJ9vkiyvlcByHQseFxdY13nLu7hq5phCsNWF8rlp8H4YeL6jmJ37edX9+IeKFc0/aFILWX0u2+xBGi22u0FrNCmHCD2MfcqkxL4Qx8mSHQtgQ5ssaWujhBfkyDtlmOPYhjH0OYx8KYb7NZ3y2ds+gyLcPLBebjlw/o2xPmt79KT0KYfHKFy8MiUJQ9PiNU5xC6FcY2yShbW9fWSUVF2Xv+sOV4Wg5H47fexj7HMY2FRrecu5Jm0KYVDxx8m0RD6OQ5xkeFOp7FsZ+uZyXwtg/F4SxX6Y2dVIV/ejJDqKODqKqKuv5uSTflIwuGI59CGOffR88qXjh3DOkhPGDdLkoh3ERz/X9c0Gusk1rKYR3KddtQmT7uea6z/nW3nQpdC+cbFs7vdUsPbLdplzlznB5fhgphD77PnjSwQvnnrTJFzeqQq/R6oIwjlu+Capa8q29LvDjFl7yrV+FoCgtVAphs+77kJ8UQp99HzypeOHc48kyuZ6EhuMmdTj2uRDw2dqzQ761NxeE8d3L1TzmSsFdRtdp09e2EW3bRnT9+uAb5ohCCNELY5uyTSH0OV/6UOhlLcOOTwjnKTiy7aae6b3zhTD2oRCE7XzZmEsUQh+05Ft706UQ+jUc5+cwYnquRdRPE/c/Q7SfiPr7h7RNWgrh3SiEPng8Hm859yjIl415ti0g+bYhLIRwBBfkehw84cBbzsNLoStK82UNzfb6kOuxcfEu+T5kh2wbV3Ld53zpQ6GPQ9jxwrnHI1AIG8JsE0Z30Hwh3xa0MLYp2xR6/zwej8fj8YSHvBHO//Iv/5I2bNhAlZWVVFtbm+vmDEsKQVDNRZtybaXOF8t5tu+b6/cx1/fPBWEU5r3l3HwszBSCtWY49iHdawwl+nHgGugw9kF7fq77oGU4fj++D8OTvBHOe3p66KMf/Sh95jOfyXVTPAPIt0UZUQh90BJG4VzCT+6eXOHfM4/H4/F4PENF3iSEe+yxx4iI6Mknn8xtQ4Yx2RZicx1Hk63zc725z/X9w0Kun0MhaJuHYx/SvUaYCeM4aBmO714h9CHdawwlhdoH7fm57oOWQh23Qp8DwtiHsJM3wnkmdHd3U3d3943/vnr1KhERtba2UiwWy1WzrMRiMWpra6PS0lKKRlOdG7Czw1//dYxaW/nxIIgQEf4KWlv5M7h+3Xx+Wxu/x7Vr5jZ1dfHz40OAz+/rC6i1FQUwmx08UB9iMXMfrl6NUUlJajvN97h2jfehvd18/vXr/Pz4f+PzY7EYtbbG0h7n+PV4n3t6dOPW0WG+B+qz1KZYzM24Se9ee7vu3evs5OfHP/ns9kEah2vX2qi1tShprKU+dHTovp/eXjd96O+Xv5/URVX7LrW1mc+/ft1NH2zzXlFR8rHOTvM99H3ooNbW7kF/09q5W5rH0PcjzWNdXbpxcPX9dHfr5jGpD2gOkMa5v1/fB7ROS3PA1au6eUw7B7haQ/v65D6Ulqa2E98joA5q+9X/j7W2EvX2/uoa5jb19GR/HmttjVFfX/IxaR7r7Gyj1lZKGucwzGOpaOcAqQ/aOcDUJpf7ABdzgLwP6KfW1mDQc7d2HtPOAVKfXc0Bvb3yHFBdnXxM6gNaQ4diL2NClrGyS1v8o6PAkqwpEtjOCBlPPvkkfeELX6BWLD0k8ed//uc3LO4ej8fj8Xg8Ho/H4/HkinfeeYcmTZpk/D2nlvNHHnmEvva1r4nnHD16lObNm5fR9b/4xS/Sww8/fOO/Y7EYtbS00JgxYygSYp+KtrY2mjx5Mr3zzjs0YsSIXDfHkyX8OA8f/FgPD/w4Dx/8WA8P/DgPD/w4Dx9yOdZBEFB7eztNnDhRPC+nwvnv//7v02/91m+J58yYMSPj65eVlVFZWVnSsXzK9D5ixAg/SQwD/DgPH/xYDw/8OA8f/FgPD/w4Dw/8OA8fcjXWI0eOtJ6TU+G8rq6O6urqctkEj8fj8Xg8Ho/H4/F4ck7eJIQ7d+4ctbS00Llz56i/v58aGhqIiGjWrFlUnZqZwOPxeDwej8fj8Xg8njwib4TzRx99lL7zne/c+O/ly5cTEdGOHTtoy5YtOWpVdigrK6Pt27czl3xPYeHHefjgx3p44Md5+ODHenjgx3l44Md5+JAPY5132do9Ho/H4/F4PB6Px+MpNIa2wJvH4/F4PB6Px+PxeDwehhfOPR6Px+PxeDwej8fjyTFeOPd4PB6Px+PxeDwejyfHeOHc4/F4PB6Px+PxeDyeHOOF8xzx+OOP07Rp06i8vJzWrl1Lu3fvFs//4Q9/SPPmzaPy8nJavHgxPfPMM0PUUs9g0IzzE088QZs2baJRo0bRqFGjaOvWrdb3whMetN90gu9///sUiUTowx/+cHYb6HGCdpxbW1vpoYceogkTJlBZWRnNmTPHz995gHac/+Zv/obmzp1LFRUVNHnyZPq93/s9un79+hC11pMpL730Et177700ceJEikQi9K//+q/Wv3nhhRdoxYoVVFZWRrNmzaInn3wy6+30DA7tOP/4xz+mO+64g+rq6mjEiBG0fv16eu6554amsZ6MyeR7TrBz504qLi6mZcuWZa196eKF8xzw1FNP0cMPP0zbt2+nffv20dKlS+muu+6ipqYmeP6rr75KH//4x+m3f/u3af/+/fThD3+YPvzhD9OhQ4eGuOUeDdpxfuGFF+jjH/847dixg3bt2kWTJ0+mO++8k86fPz/ELfdo0Y51gjNnztAf/MEf0KZNm4aopZ7BoB3nnp4euuOOO+jMmTP0ox/9iI4dO0ZPPPEE3XTTTUPcco8G7Th/97vfpUceeYS2b99OR48epW9961v01FNP0R//8R8Pccs9Wjo6Omjp0qX0+OOPp3X+6dOnadu2bXTrrbdSQ0MDfeELX6AHH3zQC24hRzvOL730Et1xxx30zDPP0N69e+nWW2+le++9l/bv35/llnoGg3acE7S2ttInPvEJuv3227PUMiWBZ8hZs2ZN8NBDD9347/7+/mDixInBV77yFXj+fffdF2zbti3p2Nq1a4Pf/d3fzWo7PYNDO86p9PX1BTU1NcF3vvOdbDXR44hMxrqvry/YsGFD8I//+I/BJz/5yeBDH/rQELTUMxi04/y///f/DmbMmBH09PQMVRM9DtCO80MPPRTcdtttSccefvjhYOPGjVltp8ctRBT85Cc/Ec/5wz/8w2DhwoVJxz72sY8Fd911VxZb5nFJOuOMWLBgQfDYY4+5b5AnK2jG+WMf+1jwp3/6p8H27duDpUuXZrVd6eAt50NMT08P7d27l7Zu3XrjWDQapa1bt9KuXbvg3+zatSvpfCKiu+66y3i+J/dkMs6pdHZ2Um9vL40ePTpbzfQ4INOx/m//7b9RfX09/fZv//ZQNNMzSDIZ55/+9Ke0fv16euihh2jcuHG0aNEi+vKXv0z9/f1D1WyPkkzGecOGDbR3794bru+nTp2iZ555hu65554habNn6PD7seFJLBaj9vZ2vx8rQP7pn/6JTp06Rdu3b891U25QnOsGDDcuXbpE/f39NG7cuKTj48aNo7feegv+zcWLF+H5Fy9ezFo7PYMjk3FO5Y/+6I9o4sSJbCPgCReZjPUrr7xC3/rWt6ihoWEIWuhxQSbjfOrUKfrlL39Jv/Ebv0HPPPMMvf322/TZz36Went7Q7UR8LxPJuP867/+63Tp0iW6+eabKQgC6uvro09/+tPerb0AMe3H2traqKuriyoqKnLUMk82+frXv07Xrl2j++67L9dN8TjkxIkT9Mgjj9DLL79MxcXhEYm95dzjCSFf/epX6fvf/z795Cc/ofLy8lw3x+OQ9vZ2uv/+++mJJ56gsWPH5ro5niwSi8Wovr6e/uEf/oFWrlxJH/vYx+hP/uRP6Jvf/Gaum+ZxyAsvvEBf/vKX6e///u9p37599OMf/5iefvpp+ou/+ItcN83j8QyS7373u/TYY4/RD37wA6qvr891czyO6O/vp1//9V+nxx57jObMmZPr5iQRHjXBMGHs2LFUVFREjY2NSccbGxtp/Pjx8G/Gjx+vOt+TezIZ5wRf//rX6atf/Sr94he/oCVLlmSzmR4HaMf65MmTdObMGbr33ntvHIvFYkREVFxcTMeOHaOZM2dmt9EeNZl80xMmTKCSkhIqKiq6cWz+/Pl08eJF6unpodLS0qy22aMnk3H+sz/7M7r//vvpwQcfJCKixYsXU0dHB/3O7/wO/cmf/AlFo94OUiiY9mMjRozwVvMC5Pvf/z49+OCD9MMf/tB7MRYY7e3ttGfPHtq/fz997nOfI6L4XiwIAiouLqaf/exndNttt+WkbX7FGGJKS0tp5cqV9Pzzz984FovF6Pnnn6f169fDv1m/fn3S+UREP//5z43ne3JPJuNMRPRXf/VX9Bd/8Rf07LPP0qpVq4aiqZ5Boh3refPm0cGDB6mhoeHGv1/7tV+7kf138uTJQ9l8T5pk8k1v3LiR3n777RvKFyKi48eP04QJE7xgHlIyGefOzk4mgCcUMkEQZK+xniHH78eGD9/73vfogQceoO9973u0bdu2XDfH45gRI0awvdinP/1pmjt3LjU0NNDatWtz17gcJ6Qblnz/+98PysrKgieffDI4cuRI8Du/8ztBbW1tcPHixSAIguD+++8PHnnkkRvn79y5MyguLg6+/vWvB0ePHg22b98elJSUBAcPHsxVFzxpoB3nr371q0FpaWnwox/9KLhw4cKNf+3t7bnqgidNtGOdis/Wnh9ox/ncuXNBTU1N8LnPfS44duxY8G//9m9BfX198KUvfSlXXfCkgXact2/fHtTU1ATf+973glOnTgU/+9nPgpkzZwb33XdfrrrgSZP29vZg//79wf79+wMiCr7xjW8E+/fvD86ePRsEQRA88sgjwf3333/j/FOnTgWVlZXBf/2v/zU4evRo8PjjjwdFRUXBs88+m6sueNJAO87/8i//EhQXFwePP/540n6stbU1V13wpIF2nFMJS7Z2L5zniL/7u78LpkyZEpSWlgZr1qwJXnvttRu/bd68OfjkJz+ZdP4PfvCDYM6cOUFpaWmwcOHC4Omnnx7iFnsyQTPOU6dODYiI/du+ffvQN9yjRvtND8QL5/mDdpxfffXVYO3atUFZWVkwY8aM4C//8i+Dvr6+IW61R4tmnHt7e4M///M/D2bOnBmUl5cHkydPDj772c8GV65cGfqGe1Ts2LEDrruJ8f3kJz8ZbN68mf3NsmXLgtLS0mDGjBnBP/3TPw15uz06tOO8efNm8XxPOMnkex5IWITzSBB4nyuPx+PxeDwej8fj8XhyiY8593g8Ho/H4/F4PB6PJ8d44dzj8Xg8Ho/H4/F4PJ4c44Vzj8fj8Xg8Ho/H4/F4cowXzj0ej8fj8Xg8Ho/H48kxXjj3eDwej8fj8Xg8Ho8nx3jh3OPxeDwej8fj8Xg8nhzjhXOPx+PxeDwej8fj8XhyjBfOPR6Px+PxeDwej8fjyTFeOPd4PB6PJ8/5rd/6Lfrwhz+cs/vff//99OUvfzlr1z9y5AhNmjSJOjo6snYPj8fj8XhyTSQIgiDXjfB4PB6Px4OJRCLi79u3b6ff+73foyAIqLa2dmgaNYA333yTbrvtNjp79ixVV1dn7T4f+chHaOnSpfRnf/ZnWbuHx+PxeDy5xAvnHo/H4/GEmIsXL974/0899RQ9+uijdOzYsRvHqqursyoU23jwwQepuLiYvvnNb2b1Pk8//TR96lOfonPnzlFxcXFW7+XxeDweTy7wbu0ej8fj8YSY8ePH3/g3cuRIikQiSceqq6uZW/uWLVvo85//PH3hC1+gUaNG0bhx4+iJJ56gjo4OeuCBB6impoZmzZpF//7v/550r0OHDtHdd99N1dXVNG7cOLr//vvp0qVLxrb19/fTj370I7r33nuTjk+bNo2+9KUv0Sc+8Qmqrq6mqVOn0k9/+lNqbm6mD33oQ1RdXU1LliyhPXv23Pibs2fP0r333kujRo2iqqoqWrhwIT3zzDM3fr/jjjuopaWFXnzxxUE+UY/H4/F4wokXzj0ej8fjKUC+853v0NixY2n37t30+c9/nj7zmc/QRz/6UdqwYQPt27eP7rzzTrr//vups7OTiIhaW1vptttuo+XLl9OePXvo2WefpcbGRrrvvvuM9zhw4ABdvXqVVq1axX7767/+a9q4cSPt37+ftm3bRvfffz994hOfoN/8zd+kffv20cyZM+kTn/gEJRz4HnroIeru7qaXXnqJDh48SF/72teSPAJKS0tp2bJl9PLLLzt+Uh6Px+PxhAMvnHs8Ho/HU4AsXbqU/vRP/5Rmz55NX/ziF6m8vJzGjh1Ln/rUp2j27Nn06KOP0uXLl+nAgQNERPS//tf/ouXLl9OXv/xlmjdvHi1fvpy+/e1v044dO+j48ePwHmfPnqWioiKqr69nv91zzz30u7/7uzfu1dbWRqtXr6aPfvSjNGfOHPqjP/ojOnr0KDU2NhIR0blz52jjxo20ePFimjFjBn3wgx+kW265JemaEydOpLNnzzp+Uh6Px+PxhAMvnHs8Ho/HU4AsWbLkxv8vKiqiMWPG0OLFi28cGzduHBERNTU1EVE8sduOHTtuxLBXV1fTvHnziIjo5MmT8B5dXV1UVlYGk9YNvH/iXtL9/8t/+S/0pS99iTZu3Ejbt2+/oTQYSEVFxQ1Lv8fj8Xg8hYYXzj0ej8fjKUBKSkqS/jsSiSQdSwjUsViMiIiuXbtG9957LzU0NCT9O3HiBLNgJxg7dix1dnZST0+PeP/EvaT7P/jgg3Tq1Cm6//776eDBg7Rq1Sr6u7/7u6RrtrS0UF1dXXoPwOPxeDyePMML5x6Px+PxeGjFihV0+PBhmjZtGs2aNSvpX1VVFfybZcuWEVG8DrkLJk+eTJ/+9Kfpxz/+Mf3+7/8+PfHEE0m/Hzp0iJYvX+7kXh6Px+PxhA0vnHs8Ho/H46GHHnqIWlpa6OMf/zi98cYbdPLkSXruuefogQceoP7+fvg3dXV1tGLFCnrllVcGff8vfOEL9Nxzz9Hp06dp3759tGPHDpo/f/6N38+cOUPnz5+nrVu3DvpeHo/H4/GEES+cezwej8fjoYkTJ9LOnTupv7+f7rzzTlq8eDF94QtfoNraWopGzduFBx98kP7lX/5l0Pfv7++nhx56iObPn08f+MAHaM6cOfT3f//3N37/3ve+R3feeSdNnTp10PfyeDwejyeMRIJEDROPx+PxeDweJV1dXTR37lx66qmnaP369Vm5R09PD82ePZu++93v0saNG7NyD4/H4/F4co23nHs8Ho/H48mYiooK+j//5//QpUuXsnaPc+fO0R//8R97wdzj8Xg8BY23nHs8Ho/H4/F4PB6Px5NjvOXc4/F4PB6Px+PxeDyeHOOFc4/H4/F4PB6Px+PxeHKMF849Ho/H4/F4PB6Px+PJMV4493g8Ho/H4/F4PB6PJ8d44dzj8Xg8Ho/H4/F4PJ4c44Vzj8fj8Xg8Ho/H4/F4cowXzj0ej8fj8Xg8Ho/H48kxXjj3eDwej8fj8Xg8Ho8nx3jh3OPxeDwej8fj8Xg8nhzz/wP3wbsvJqQzUwAAAABJRU5ErkJggg==\n"
},
"metadata": {}
}
],
"source": [
"\n",
"import numpy as np\n",
"from scipy.integrate import odeint\n",
"import matplotlib.pyplot as plt\n",
"\n",
"def calculate_steady_state_timing(R=0.01, L=1e-6, C=1e-7, f=50e3, epsilon=0.01):\n",
" \"\"\"\n",
" Calculate the steady-state timing for an RLC circuit.\n",
"\n",
" Parameters:\n",
" - R: Resistance in ohms (default: 0.01)\n",
" - L: Inductance in henries (default: 1e-6)\n",
" - C: Capacitance in farads (default: 1e-7)\n",
" - f: Clock frequency in Hz (default: 50e3) - NOTE: Does not affect settling time\n",
" - epsilon: Tolerance level for transient decay (default: 0.01 for 1%)\n",
"\n",
" Returns:\n",
" - Dictionary with alpha, tau, t_ss, zeta, is_underdamped\n",
" \"\"\"\n",
" alpha = R / (2 * L)\n",
" tau = 1 / alpha\n",
" t_ss = -np.log(epsilon) / alpha\n",
" zeta = R / (2 * np.sqrt(L / C))\n",
" is_underdamped = zeta < 1\n",
"\n",
" return {\n",
" 'alpha': alpha,\n",
" 'tau': tau,\n",
" 't_ss': t_ss,\n",
" 'zeta': zeta,\n",
" 'is_underdamped': is_underdamped\n",
" }\n",
"\n",
"# State-space function for RLC\n",
"def rlc(y, t, R, L, C, omega):\n",
" i, vc = y\n",
" vin = 2.5 + 2.5 * np.sign(np.sin(omega * t)) # Square wave 0-5 V\n",
" didt = (vin - R * i - vc) / L\n",
" dvcdt = i / C\n",
" return [didt, dvcdt]\n",
"\n",
"# Main function to plot response up to steady-state time\n",
"def plot_response_to_steady_state(R=0.01, L=1e-6, C=1e-7, f=50e3, epsilon=0.01):\n",
" # Calculate steady-state parameters\n",
" result = calculate_steady_state_timing(R, L, C, f, epsilon)\n",
" t_ss = result['t_ss']\n",
" alpha = result['alpha']\n",
" zeta = result['zeta']\n",
"\n",
" print(f\"Damping factor (alpha): {alpha:.2f} s^-1\")\n",
" print(f\"Damping ratio (zeta): {zeta:.5f}\")\n",
" print(f\"Steady-state time (t_ss): {t_ss * 1e3:.2f} ms\")\n",
"\n",
" # Time array: from 0 to 1.5 * t_ss for visualization\n",
" t_start = 0\n",
" t_end = 1.5 * t_ss\n",
" dt = 10e-9 # Fine resolution\n",
" t = np.arange(t_start, t_end + dt, dt)\n",
"\n",
" omega = 2 * np.pi * f\n",
"\n",
" # Initial conditions\n",
" y0 = [0, 0]\n",
"\n",
" # Solve ODE\n",
" sol = odeint(rlc, y0, t, args=(R, L, C, omega))\n",
" vc = sol[:, 1]\n",
"\n",
" # Compute v_in for plot\n",
" vin = 2.5 + 2.5 * np.sign(np.sin(omega * t))\n",
"\n",
" # Plot\n",
" plt.figure(figsize=(12, 6))\n",
" plt.plot(t * 1e3, vin, 'k--', linewidth=1, alpha=0.7, label='v_in(t)')\n",
" plt.plot(t * 1e3, vc, 'b-', linewidth=1, label='v_c(t)')\n",
" plt.axvline(t_ss * 1e3, color='r', linestyle='--',\n",
" label=f'Steady-state at {t_ss * 1e3:.2f} ms (ε={epsilon})')\n",
"\n",
" plt.xlabel('Time (ms)')\n",
" plt.ylabel('Voltage (V)')\n",
" plt.title('RLC Circuit Response Up to Steady-State Time')\n",
" plt.grid(True, alpha=0.3)\n",
" plt.legend()\n",
" plt.ylim(-1, 8)\n",
" plt.show()\n",
"\n",
"# Example usage\n",
"plot_response_to_steady_state()"
]
},
{
"cell_type": "code",
"source": [
"!apt install ngspice -y"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "ZdEJVTRkEk_E",
"outputId": "5b68243d-6b41-47c4-c7d0-26d1bd71c9c4"
},
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"Reading package lists... Done\n",
"Building dependency tree... Done\n",
"Reading state information... Done\n",
"Suggested packages:\n",
" ngspice-doc\n",
"The following NEW packages will be installed:\n",
" ngspice\n",
"0 upgraded, 1 newly installed, 0 to remove and 38 not upgraded.\n",
"Need to get 2,352 kB of archives.\n",
"After this operation, 7,972 kB of additional disk space will be used.\n",
"Get:1 http://archive.ubuntu.com/ubuntu jammy-updates/universe amd64 ngspice amd64 36+ds-1ubuntu0.1 [2,352 kB]\n",
"Fetched 2,352 kB in 1s (2,919 kB/s)\n",
"Selecting previously unselected package ngspice.\n",
"(Reading database ... 126718 files and directories currently installed.)\n",
"Preparing to unpack .../ngspice_36+ds-1ubuntu0.1_amd64.deb ...\n",
"Unpacking ngspice (36+ds-1ubuntu0.1) ...\n",
"Setting up ngspice (36+ds-1ubuntu0.1) ...\n",
"Processing triggers for man-db (2.10.2-1) ...\n"
]
}
]
},
{
"cell_type": "code",
"source": [
"%%writefile RLC.cir\n",
"* RLC circuit with 50kHz square wave input\n",
"\n",
"V1 1 0 PULSE(0 5 0 10n 10n 10u 20u)\n",
"R1 1 2 0.01\n",
"L1 2 3 1u\n",
"C1 3 0 100n\n",
"\n",
".tran 10n 1m\n",
".option numdgt=9\n",
".save all\n",
"\n",
".control\n",
" run\n",
" set filetype=ascii\n",
" wrdata sim.csv v(3)\n",
"set hcopydevtype=postscript\n",
"hardcopy sim.eps v(3)\n",
".endc\n",
"\n",
".end"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "EdvkDHtWEvuh",
"outputId": "a179dd4c-a3f7-4684-ca0a-4d6265c8d5fa"
},
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"Overwriting RLC.cir\n"
]
}
]
},
{
"cell_type": "code",
"source": [
"!ngspice -b RLC.cir"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "xP7o6Fk1E3ZX",
"outputId": "ec5f3c68-2508-42eb-eeed-e7383219ccc0"
},
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"\n",
"No compatibility mode selected!\n",
"\n",
"\n",
"Circuit: * rlc circuit with 50khz square wave input\n",
"\n",
"Doing analysis at TEMP = 27.000000 and TNOM = 27.000000\n",
"\n",
"Warning: v1: no DC value, transient time 0 value used\n",
"\n",
"Initial Transient Solution\n",
"--------------------------\n",
"\n",
"Node Voltage\n",
"---- -------\n",
"1 0\n",
"2 0\n",
"3 0\n",
"l1#branch 0\n",
"v1#branch 0\n",
"\n",
" Reference value : 9.35462e-04\n",
"No. of Data Rows : 100627\n",
"\n",
"The file \"sim.eps\" may be printed on a postscript printer.\n",
"Note: No \".plot\", \".print\", or \".fourier\" lines; no simulations run\n"
]
}
]
},
{
"cell_type": "code",
"source": [
"!ls -s"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "a8B-dXJyFjow",
"outputId": "635b534a-b07b-48ce-cec3-e7463a585715"
},
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"total 6292\n",
" 4 RLC.cir 4 sample_data\t3244 sim.csv 3040 sim.eps\n"
]
}
]
},
{
"cell_type": "code",
"source": [
"import pandas as pd\n",
"import matplotlib.pyplot as plt\n",
"\n",
"# Read the space-separated CSV file, assuming no header\n",
"df = pd.read_csv('sim.csv', sep='\\s+', header=None)\n",
"\n",
"# Plot Column 2 (y-axis) vs Column 1 (x-axis)\n",
"plt.plot(df[0], df[1])\n",
"plt.xlabel('Column 1')\n",
"plt.ylabel('Column 2')\n",
"plt.title('Plot of Column 2 vs Column 1')\n",
"plt.show()"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 336
},
"id": "B3ddlrtkFpUv",
"outputId": "b4da815a-a75e-47ab-d2c8-ff5ba3aa2223"
},
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"name": "stderr",
"text": [
"<>:5: SyntaxWarning: invalid escape sequence '\\s'\n",
"<>:5: SyntaxWarning: invalid escape sequence '\\s'\n",
"/tmp/ipython-input-70062509.py:5: SyntaxWarning: invalid escape sequence '\\s'\n",
" df = pd.read_csv('sim.csv', sep='\\s+', header=None)\n"
]
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
}
]
},
{
"cell_type": "code",
"source": [
"import pandas as pd\n",
"import matplotlib.pyplot as plt\n",
"\n",
"# Read the space-separated CSV file, assuming no header\n",
"df = pd.read_csv('sim.csv', sep='\\s+', header=None)\n",
"\n",
"# Plot the first 2000 rows of Column 2 (y-axis) vs Column 1 (x-axis)\n",
"plt.plot(df[0][:2000], df[1][:2000])\n",
"plt.xlabel('Column 1')\n",
"plt.ylabel('Column 2')\n",
"plt.title('Plot of First 2000 Rows: Column 2 vs Column 1')\n",
"plt.show()"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 338
},
"id": "I0oK2wMTGki7",
"outputId": "261e69dc-307e-4752-c11d-323ee5357cd1"
},
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"name": "stderr",
"text": [
"<>:5: SyntaxWarning: invalid escape sequence '\\s'\n",
"<>:5: SyntaxWarning: invalid escape sequence '\\s'\n",
"/tmp/ipython-input-3673476156.py:5: SyntaxWarning: invalid escape sequence '\\s'\n",
" df = pd.read_csv('sim.csv', sep='\\s+', header=None)\n"
]
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
}
]
},
{
"cell_type": "code",
"source": [
"\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"\n",
"# Parameters\n",
"R = 0.01\n",
"L = 1e-6\n",
"C = 1e-7\n",
"f = 50e3\n",
"epsilon = 0.01\n",
"\n",
"# Derived parameters\n",
"alpha = R / (2 * L)\n",
"omega_0 = 1 / np.sqrt(L * C)\n",
"omega_d = np.sqrt(omega_0**2 - alpha**2)\n",
"Delta = 1 / (2 * f)\n",
"tau = 1 / alpha\n",
"t_ss = -np.log(epsilon) / alpha\n",
"zeta = alpha / omega_0\n",
"\n",
"print(f\"Damping factor (alpha): {alpha:.2f} s^-1\")\n",
"print(f\"Damping ratio (zeta): {zeta:.5f}\")\n",
"print(f\"Steady-state time (t_ss): {t_ss * 1e3:.2f} ms\")\n",
"\n",
"# Step response function h(t)\n",
"def h(t):\n",
" if t <= 0:\n",
" return 0.0\n",
" exp_term = np.exp(-alpha * t)\n",
" cos_term = np.cos(omega_d * t)\n",
" sin_term = np.sin(omega_d * t)\n",
" return 1 - exp_term * (cos_term + (alpha / omega_d) * sin_term)\n",
"\n",
"# Compute vc_m for m = 0 to M\n",
"t_end = 1.5 * t_ss\n",
"M = int(np.ceil(t_end / Delta)) + 1 # Number of edges to cover 1.5 * t_ss\n",
"t_m = np.array([m * Delta for m in range(M)])\n",
"vc_m = np.zeros(M)\n",
"\n",
"for m in range(M):\n",
" sum_val = 0.0\n",
" for k in range(m):\n",
" sum_val += (-1)**k * h((m - k) * Delta)\n",
" vc_m[m] = 5 * sum_val\n",
"\n",
"# Plot\n",
"plt.figure(figsize=(12, 6))\n",
"plt.plot(t_m * 1e3, vc_m, 'bo', markersize=3, label='v_c at edges (analytical)')\n",
"plt.axvline(t_ss * 1e3, color='r', linestyle='--', label=f'Steady-state at {t_ss * 1e3:.2f} ms (ε={epsilon})')\n",
"plt.xlabel('Time (ms)')\n",
"plt.ylabel('Voltage (V)')\n",
"plt.title('Analytical RLC Circuit Capacitor Voltage at Input Edges')\n",
"plt.grid(True, alpha=0.3)\n",
"plt.legend()\n",
"plt.ylim(-1, 8)\n",
"plt.tight_layout()\n",
"plt.show()"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 231
},
"id": "UEkY7CtwY3Lz",
"outputId": "e26c1acc-2eac-492a-8a5d-7e789a690a5f"
},
"execution_count": 1,
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"Damping factor (alpha): 5000.00 s^-1\n",
"Damping ratio (zeta): 0.00158\n",
"Steady-state time (t_ss): 0.92 ms\n"
]
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 1200x600 with 1 Axes>"
],
"image/png": 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},
"metadata": {}
}
]
},
{
"cell_type": "code",
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"\n",
"# Parameters\n",
"R = 0.01\n",
"L = 1e-6\n",
"C = 1e-7\n",
"f = 50e3\n",
"epsilon = 0.01\n",
"\n",
"# Derived parameters\n",
"alpha = R / (2 * L)\n",
"omega_0 = 1 / np.sqrt(L * C)\n",
"omega_d = np.sqrt(omega_0**2 - alpha**2)\n",
"Delta = 1 / (2 * f)\n",
"tau = 1 / alpha\n",
"t_ss = -np.log(epsilon) / alpha\n",
"zeta = alpha / omega_0\n",
"\n",
"print(f\"Damping factor (alpha): {alpha:.2f} s^-1\")\n",
"print(f\"Damping ratio (zeta): {zeta:.5f}\")\n",
"print(f\"Steady-state time (t_ss): {t_ss * 1e3:.2f} ms\")\n",
"\n",
"# Step response function h(t)\n",
"def h(t):\n",
" if np.isscalar(t):\n",
" if t <= 0:\n",
" return 0.0\n",
" else:\n",
" h_val = np.zeros_like(t)\n",
" mask = t > 0\n",
" exp_term = np.exp(-alpha * t[mask])\n",
" cos_term = np.cos(omega_d * t[mask])\n",
" sin_term = np.sin(omega_d * t[mask])\n",
" h_val[mask] = 1 - exp_term * (cos_term + (alpha / omega_d) * sin_term)\n",
" return h_val\n",
" exp_term = np.exp(-alpha * t)\n",
" cos_term = np.cos(omega_d * t)\n",
" sin_term = np.sin(omega_d * t)\n",
" return 1 - exp_term * (cos_term + (alpha / omega_d) * sin_term)\n",
"\n",
"# 5V DC Step Response\n",
"t_end = 1.5 * t_ss\n",
"t_dc = np.linspace(0, t_end, 1000)\n",
"vc_dc = 5 * h(t_dc)\n",
"\n",
"# Square Wave Edge Response\n",
"M = int(np.ceil(t_end / Delta)) + 1\n",
"t_m = np.array([m * Delta for m in range(M)])\n",
"vc_m = np.zeros(M)\n",
"\n",
"for m in range(M):\n",
" sum_val = 0.0\n",
" for k in range(m):\n",
" sum_val += (-1)**k * h((m - k) * Delta)\n",
" vc_m[m] = 5 * sum_val\n",
"\n",
"# Plot in two subplots\n",
"fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(15, 6))\n",
"\n",
"# Plot 1: DC 5V Step Response\n",
"ax1.plot(t_dc * 1e3, vc_dc, 'b-', linewidth=2, label='v_c(t) for 5V DC step')\n",
"ax1.axvline(t_ss * 1e3, color='r', linestyle='--', label=f'Steady-state at {t_ss * 1e3:.2f} ms')\n",
"ax1.set_xlabel('Time (ms)')\n",
"ax1.set_ylabel('Voltage (V)')\n",
"ax1.set_title('RLC Response to 5V DC Step Input')\n",
"ax1.grid(True, alpha=0.3)\n",
"ax1.legend()\n",
"ax1.set_ylim(-1, 8)\n",
"\n",
"# Plot 2: Square Wave Edge Response\n",
"ax2.plot(t_m * 1e3, vc_m, 'bo-', markersize=4, linewidth=1, label='v_c at edges (square wave)')\n",
"ax2.axvline(t_ss * 1e3, color='r', linestyle='--', label=f'Steady-state at {t_ss * 1e3:.2f} ms')\n",
"ax2.set_xlabel('Time (ms)')\n",
"ax2.set_ylabel('Voltage (V)')\n",
"ax2.set_title('RLC Capacitor Voltage at Square Wave Edges')\n",
"ax2.grid(True, alpha=0.3)\n",
"ax2.legend()\n",
"ax2.set_ylim(-1, 8)\n",
"\n",
"plt.tight_layout()\n",
"plt.show()"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 203
},
"id": "CS5KHQeCgAis",
"outputId": "464cb195-4ebf-4cd2-f96c-bee80b29fd2b"
},
"execution_count": 1,
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"Damping factor (alpha): 5000.00 s^-1\n",
"Damping ratio (zeta): 0.00158\n",
"Steady-state time (t_ss): 0.92 ms\n"
]
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 1500x600 with 2 Axes>"
],
"image/png": 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},
"metadata": {}
}
]
},
{
"cell_type": "code",
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"\n",
"# Common parameters\n",
"epsilon = 0.01\n",
"t_end = 1.5 # ms, for plotting up to 1.5 * t_ss\n",
"Delta = 0.01 # ms, edge interval (10 us)\n",
"t_m = np.arange(0, t_end + Delta/2, Delta) * 1e-3 # Time array in seconds\n",
"\n",
"# Plot 1: Square-wave edge response (analytical sum)\n",
"# Circuit params for original RLC\n",
"R = 0.01\n",
"L = 1e-6\n",
"C = 1e-7\n",
"f = 50e3\n",
"alpha = R / (2 * L)\n",
"omega_0 = 1 / np.sqrt(L * C)\n",
"omega_d = np.sqrt(omega_0**2 - alpha**2)\n",
"zeta = alpha / omega_0\n",
"t_ss = -np.log(epsilon) / alpha # seconds\n",
"\n",
"print(f\"Original: alpha={alpha:.2f} s^-1, zeta={zeta:.5f}, t_ss={t_ss*1e3:.2f} ms\")\n",
"\n",
"def step_response_h(t, alpha, omega_d):\n",
" \"\"\"Underdamped step response h(t) for unit step.\"\"\"\n",
" if t <= 0:\n",
" return 0.0\n",
" exp_term = np.exp(-alpha * t)\n",
" beta = alpha / omega_d\n",
" return 1 - exp_term * (np.cos(omega_d * t) + beta * np.sin(omega_d * t))\n",
"\n",
"# Compute vc_m via sum (as in user's code)\n",
"M = len(t_m)\n",
"vc_m = np.zeros(M)\n",
"for m in range(M):\n",
" sum_val = 0.0\n",
" for k in range(m):\n",
" sum_val += (-1)**k * step_response_h((m - k) * Delta * 1e-3, alpha, omega_d)\n",
" vc_m[m] = 5 * sum_val\n",
"\n",
"# Plot 2: Fitted DC step response\n",
"# Best-fit params from optimization\n",
"V = 2.5133 # Step amplitude\n",
"alpha_fit = 5188.84 # s^-1\n",
"omega_d_fit = 22511.23 # rad/s\n",
"beta_fit = alpha_fit / omega_d_fit\n",
"\n",
"def dc_step_response(t, V, alpha, omega_d):\n",
" \"\"\"Fitted underdamped DC step response.\"\"\"\n",
" beta = alpha / omega_d\n",
" h_t = 1 - np.exp(-alpha * t) * (np.cos(omega_d * t) + beta * np.sin(omega_d * t))\n",
" return V * h_t\n",
"\n",
"vc_dc = dc_step_response(t_m, V, alpha_fit, omega_d_fit) # Sampled at same times for comparison\n",
"\n",
"# Plotting\n",
"fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(14, 6))\n",
"\n",
"# Plot 1: Square-wave edges\n",
"ax1.plot(t_m * 1e3, vc_m, 'bo', markersize=3, label='v_c at edges (analytical)')\n",
"ax1.axvline(t_ss * 1e3, color='r', linestyle='--', label=f'Steady-state at {t_ss * 1e3:.2f} ms')\n",
"ax1.set_xlabel('Time (ms)')\n",
"ax1.set_ylabel('Voltage (V)')\n",
"ax1.set_title('RLC Response at Square-Wave Edges')\n",
"ax1.grid(True, alpha=0.3)\n",
"ax1.legend()\n",
"ax1.set_ylim(-1, 8)\n",
"\n",
"# Plot 2: Fitted DC step (continuous, but sampled for visibility)\n",
"t_fine = np.linspace(0, t_end * 1e-3, 10000) # Fine grid for smooth curve\n",
"vc_dc_fine = dc_step_response(t_fine, V, alpha_fit, omega_d_fit)\n",
"ax2.plot(t_fine * 1e3, vc_dc_fine, 'b-', linewidth=2, label='Fitted DC step response')\n",
"ax2.plot(t_m * 1e3, vc_dc, 'bo', markersize=3, alpha=0.6, label='Sampled at edges') # Overlay samples\n",
"ax2.axvline(t_ss * 1e3, color='r', linestyle='--', label=f'Steady-state at {t_ss * 1e3:.2f} ms')\n",
"ax2.set_xlabel('Time (ms)')\n",
"ax2.set_ylabel('Voltage (V)')\n",
"ax2.set_title('Most Similar RLC DC Step Response\\n(α=5188.84 s⁻¹, ω_d≈22.5 krad/s, V=2.51 V)')\n",
"ax2.grid(True, alpha=0.3)\n",
"ax2.legend()\n",
"ax2.set_ylim(-1, 8)\n",
"\n",
"plt.tight_layout()\n",
"plt.show()\n",
"\n",
"# Optional: Print RMSE for comparison\n",
"rmse = np.sqrt(np.mean((vc_m - vc_dc)**2))\n",
"print(f\"RMSE between the two (sampled): {rmse:.4f} V\")"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 193
},
"id": "R8QEkQ0PgErB",
"outputId": "cd3b064d-e658-4537-c93d-3c226d363e97"
},
"execution_count": 2,
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"Original: alpha=5000.00 s^-1, zeta=0.00158, t_ss=0.92 ms\n"
]
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 1400x600 with 2 Axes>"
],
"image/png": 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bw8jISHg9y+R9/QC5Uzy8/1qZMmUKXr9+jcqVK6NGjRoYPXo0rl69Kmy/e/cuiAgTJ06UO9fg4GDRuTJW2vCctowxxhhjjDHGilXPnj0xcOBAPH36FK1bt1a42JcytLW1cezYMRw5cgS7d+/Gvn37sGHDBnz//fc4cOAAVFVVP+r4GhoaaNCgARo0aIDKlSujX79+2LRpkzDok5/82lVUTnkWIivM69ev4ebmBgMDA0yZMgX29vbQ0tLCxYsXMXbsWLkB6w8ZbG3atCnKli0LAPDy8kKNGjXQq1cvXLhwQTQIWJiqVasCAK5du6Z0H5QhW6xLNij4frvvX7H5oVRVVVGjRg3UqFEDLi4uaN68OSIiIoTB1/xIpVK4u7tjzJgxCrdXrlz5o/v2vho1agh98vb2RlpaGgYOHIjGjRvDyspKeG707t0bvr6+Co9Rs2ZNALlfkNy6dQu7du3Cvn37sGXLFixZsgSTJk1CSEhIgf14/yrzopTnld/r5/3XStOmTXHv3j3s2LEDBw4cwJ9//on58+dj2bJlGDBggHCuo0aNgoeHh8Lj5R1EZqy04EFbxhhjjDHGGGPFqmPHjggICMDp06exYcOGfOvJFoFKSUkRXW0r++m/jY2NUKaiooIWLVqgRYsWmDdvHmbMmIFffvkFR44cQcuWLYs8UFSY+vXrAwASEhKK5XgfKjo6GklJSdi6dSuaNm0qlMfFxX2S9vT09BAcHIx+/fph48aN6N69e5H3rVy5MqpUqYIdO3ZgwYIFwjQGxSk1NRXbtm2DlZWVcCW2l5cXZs6cibVr1xbLoO37FD0P8nuO2dvbIzU1tdDBXRlFP/W/ffs2bG1tle8ogF9//RXbtm3D9OnTsWzZMpiamkJfXx85OTlF6pOuri66deuGbt26ITMzE506dcL06dMxfvx4aGlpifpdsWJF4f7du3chlUqFftvY2EAqleLOnTvCYwTkLor2+vVr0etZGSYmJujXrx/69euH1NRUNG3aFJMnT8aAAQNgZ2cHAFBXVy9y/BkrLXh6BMYYY4wxxhhjxUpPTw9Lly7F5MmT4eXllW+9Nm3aICcnB4sWLRKVz58/HxKJBK1btwaQO29lXrVr1wYAZGRkAMgdeAJyr1AtiiNHjii8+lU2L2eVKlWKdJxPRXYV4vt9zMzMxJIlSz5Zm7169UKFChUwa9YspfcNCQlBUlISBgwYgOzsbLntBw4cwK5duz6oX+/evUOfPn3w8uVL/PLLL8LgqYuLCzw9PfHnn39i+/btcvtlZmZi1KhRBR77+PHjyMrKkitX9DzQ1dVV+Pzq2rUrTp06hf3798tte/36tVw8tm/fLppn9ezZszhz5ozwfFeWvb09OnfujPDwcDx9+hSqqqro3LkztmzZIlyd/L7ExETh76SkJNE2DQ0NVK9eHUQkF5fFixeL7i9cuBAAhH63adMGABAaGiqqN2/ePABA27ZtlT63vP3T09NDpUqVhNe9mZkZmjVrhuXLlyv8ouX9c2WstOErbRljjDHGGGOMFbv8fpb9Pi8vLzRv3hy//PIL4uPjUatWLRw4cAA7duzA8OHDYW9vDyB3Xstjx46hbdu2sLGxwfPnz7FkyRJUqFABjRs3BpA7cGVkZIRly5ZBX18furq6aNiwoejKwPcNHToUaWlp6NixI6pWrYrMzEycPHkSGzZsgK2trdKLehU3V1dXGBsbw9fXF0FBQZBIJFizZo3S0ywoQ11dHcOGDcPo0aOxb98+eHp6Ctvu3r2LadOmye1Tp04dtG3bFt26dcO1a9cwffp0XLp0CT169ICNjQ2SkpKwb98+REVFITIystA+PH78GGvXrgWQe3XtzZs3sWnTJjx9+hQjR45EQECAqP7q1avRqlUrdOrUCV5eXmjRogV0dXVx584drF+/HgkJCZgzZ06+7c2aNQsXLlxAp06dhCkDLl68iNWrV8PExATDhw8X6tarVw9Lly7FtGnTUKlSJZiZmeH777/H6NGjsXPnTrRr1w5+fn6oV68e3r59i2vXrmHz5s2Ij48XpqEAcn+u37hxY/z444/IyMhAaGgoypQpk+/0CkUxevRobNy4EaGhofj111/x66+/4siRI2jYsCEGDhyI6tWr4+XLl7h48SIOHTokfBHSqlUrmJubo1GjRihXrhxiY2OxaNEitG3bVm6u6bi4OLRv3x6enp44deoU1q5di549e6JWrVoAgFq1asHX1xcrVqwQpvc4e/YsVq1aBW9vbzRv3lzp86pevTqaNWuGevXqwcTEBOfPn8fmzZsRGBgo1Fm8eDEaN26MGjVqYODAgbCzs8OzZ89w6tQpPHr0CFeuXPnguDJWoogxxhhjjDHGGPsIYWFhBIDOnTtXYD0bGxtq27atqCwlJYVGjBhB5cuXJ3V1dXJwcKDZs2eTVCoV6kRFRVGHDh2ofPnypKGhQeXLl6cePXrQ7du3RcfasWMHVa9endTU1AgAhYWF5duXvXv3kr+/P1WtWpX09PRIQ0ODKlWqREOHDqVnz57J9dvX17fQ8w0ODiYAlJiYKCr39fUlXV1dURkACg4OljtmXFycUBYTE0POzs6kra1N5cuXpzFjxtD+/fsJAB05ckSo5+bmRo6Ojvmea1759ZOIKDk5mQwNDcnNzU10/gAU3vr37y/aX/ZYmZmZkZqaGpmampKXlxft2LGj0H69345EIiEDAwNydHSkgQMH0pkzZ/LdLy0tjebMmUMNGjQQHksHBwcaOnQo3b17t8A2Y2JiaMiQIfTdd9+RoaEhqaurk7W1Nfn5+dG9e/dEdZ8+fUpt27YlfX19AiCKUUpKCo0fP54qVapEGhoaVLZsWXJ1daU5c+ZQZmYmERHFxcURAJo9ezbNnTuXrKysSFNTk5o0aUJXrlwpND5HjhwhALRp0yaF25s1a0YGBgb0+vVrIiJ69uwZDRkyhKysrEhdXZ3Mzc2pRYsWtGLFCmGf5cuXU9OmTalMmTKkqalJ9vb2NHr0aEpOThbqyJ4vN2/eJB8fH9LX1ydjY2MKDAykd+/eifqQlZVFISEhVLFiRVJXVycrKysaP348paeni+op+r+AKPe5/H5cp02bRk5OTmRkZETa2tpUtWpVmj59uhBTmXv37lHfvn3J3Nyc1NXVydLSktq1a0ebN28uNK6MfakkRJ/wazrGGGOMMcYYY4wxhvj4eFSsWBGzZ88udNqGL8nkyZMREhKCxMRE0RXDjLFPi+e0ZYwxxhhjjDHGGGOMsS8ID9oyxhhjjDHGGGOMMcbYF4QHbRljjDHGGGOMMcYYY+wLwnPaMsYYY4wxxhhjjDHG2BeEr7RljDHGGGOMMcYYY4yxLwgP2jLGGGOMMcYYY4wxxtgXhAdtGWOMsVKoWbNmaNasWUl3gzHGWAn47bffULVqVUil0pLuCmMCPz8/2NralnQ3PiuJRILAwMASaz86OhoSiQTR0dEl1gemHGdnZ4wZM6aku8FKCR60ZewzCg8Ph0QiEW5qamqwtLSEn58fHj9+LFe/WbNm+O6774p07MuXL6N3796wsrKCpqYmTExM0LJlS4SFhSEnJ6fAfZs1aybql7a2NmrWrInQ0FD+MPCJnTx5EpMnT8br16+LvM/ff/8NNzc3mJmZQUdHB3Z2dujatSv27dv36TpawnJycmBgYIAOHTrIbZs/fz4kEgl8fX3ltk2aNAkSiQS3b9/+HN1Uyvuvuby3QYMGlXT3GGOMfaHevHmDWbNmYezYsVBR+Xwf5+Lj4/N931q/fr2o7tmzZzF48GDUq1cP6urqkEgk+R43OTkZY8aMgYODA7S1tWFjY4P+/fvj4cOHcnUPHTqE5s2bo2zZsjAyMoKTkxPWrFlTpP5LpVIsW7YMtWvXhp6eHsqVK4fWrVvj5MmTBe43ffp0SCSSIufkxWHy5MmwtbWFiorKNzkY9++//yIkJAROTk4wNjZG2bJl0axZMxw6dEiublRUFPz9/VG5cmUhLx4wYAASEhKK1NbkyZMVPqe1tLSK+7Q+u2vXrkEikeDs2bPFdsysrCyULVsWjRs3zrcOEcHKygp169b9qLbOnTuHwMBAODo6QldXF9bW1ujatWuR8/q8n73fvz19+lRUd8OGDejduzccHBwgkUiKfGHEvHnzIJFIFD43Zf744w9IJBLs3LkTADB27FgsXrxYrg+MKaJW0h1g7Fs0ZcoUVKxYEenp6Th9+jTCw8Nx4sQJXL9+/YMShD///BODBg1CuXLl0KdPHzg4OCAlJQVRUVHo378/EhIS8PPPPxd4jAoVKmDmzJkAgBcvXiAyMhIjRoxAYmIipk+f/kHnyQp38uRJhISEwM/PD0ZGRoXWnzNnDkaPHg03NzeMHz8eOjo6uHv3Lg4dOoT169fD09Pz03e6BKiqqsLZ2VnhB6uYmBioqakhJiZG4TYzMzNUrlz5c3RTae7u7ujbt69c+ZfaX8YYYyXvr7/+QnZ2Nnr06FEi7ffo0QNt2rQRlbm4uIju79mzB3/++Sdq1qwJOzu7fAdZpFIp3N3dcfPmTQwePBiVK1fG3bt3sWTJEuzfvx+xsbHQ19cHAOzcuRPe3t5wcXERBto2btyIvn374sWLFxgxYkSB/R49ejTmzZuH3r17Y/DgwXj9+jWWL18ONzc3xMTEwMnJSW6fR48eYcaMGdDV1VUmRB+te/fuCAoK+uhBr9Jqx44dmDVrFry9veHr64vs7GysXr0a7u7u+Ouvv9CvXz+h7tixY/Hy5Ut06dIFDg4OuH//PhYtWoRdu3bh8uXLMDc3L1KbS5cuhZ6ennBfVVW12M/rc9u9ezfMzMzQoEGDYjumuro6unTpguXLl+PBgwewsbGRq3Ps2DE8evSo0NdkYWbNmoWYmBh06dIFNWvWxNOnT7Fo0SLUrVsXp0+fLvIXKbLP3u/L+7lr6dKluHDhAho0aICkpKQi97F79+4YPXo0IiMj0bJlS4V1IiMjUaZMGbRu3RoA0KFDBxgYGGDJkiWYMmVKkdti3yhijH02YWFhBIDOnTsnKh87diwBoA0bNojK3dzcyNHRscBjnjp1ilRVValx48b05s0bue3nzp2jsLCwAo+hqJ13796RjY0N6evrU3Z2doH7sw83e/ZsAkBxcXGF1s3KyiIDAwNyd3dXuP3Zs2fF3Lvik5WVRRkZGR91jJCQEAJAN2/eFJWbm5tTz549CQAlJCSI2tTV1aWOHTt+VLufCgAaMmTIB+/v5uZGbm5uxdchxhhjpULNmjWpd+/en73duLg4AkCzZ88utO7Tp08pLS2NiIiGDBlC+X3sjImJIQC0aNEiUflff/1FAGjr1q1Cmbu7O5UvX57S09OFsqysLLK3t6eaNWsW2J+srCzS1tYmHx8fUfn9+/cJAAUFBSncr1u3bvT9998XKSf/FGxsbOjIkSOfvd0P5evrSzY2Nh99nOvXr1NiYqKoLD09napWrUoVKlQQlR89epRycnLkygDQL7/8UmhbwcHBBECuvaL60Hzu3bt3cv3+EEeOHCEACp8nTZo0IV9f349uI6/jx48TAJo5c6bC7T/88AOpqKjQ48ePP6qdmJgYuc8Pt2/fJk1NTerVq1eh++f32VuRhw8fCo+Ho6OjUjl2ixYtyNDQUPR/k8yjR49IRUWFBg0aJCoPDAwkGxsbkkqlRW6HfZt4egTGvgBNmjQBANy7d0/pfUNCQiCRSBARESFcifC++vXrw8/PT+njamlpoUGDBkhJScHz589F29auXYt69epBW1sbJiYm6N69O/79919RnTt37qBz584wNzeHlpYWKlSogO7duyM5OVmoI5sDKiIiAlWqVIGWlhbq1auHY8eOyfXn0qVLaN26NQwMDKCnp4cWLVrg9OnTojqyn8DExMTgp59+gqmpKXR1ddGxY0ckJiaK6p4/fx4eHh4oW7YstLW1UbFiRfj7+4vqSKVShIaGwtHREVpaWihXrhwCAgLw6tWrQuN39epV+Pn5wc7ODlpaWjA3N4e/v7/om9vJkydj9OjRAICKFSsKP9eJj49XeMwXL17gzZs3aNSokcLtZmZmovuPHj2Ct7c3dHV1YWZmhhEjRmD//v1y817Z2toqfI7knTM1MzMTkyZNQr169WBoaAhdXV00adIER44cEe0n+/nknDlzEBoaCnt7e2hqauLmzZsAgH/++Qc+Pj4wMTGBlpYW6tevL/xcqCCyn2G9f0Xt/fv38fTpUwQGBkJLS0u07fLly3j79q2wX1Eek82bN0MikeDo0aNy7S9fvhwSiQTXr18Xyj70XJS1YsUK2NvbQ1tbG05OTjh+/LjCeg8ePED79u0LfcwB4MyZM/D09IShoSF0dHSEK43el5KSguHDh8PW1haampowMzODu7s7Ll68WOznyBhjrHBxcXG4evWqwiu6Xr58CX9/fxgbG8PY2Bg9evTAq1evsH37dmhpaSE1NbXY+vH27VtkZmbmu71cuXLQ1tYu9Dhv3rwR6r/PwsICAETHePPmDYyNjaGpqSmUqampCblcQbKysvDu3Tu5dszMzKCioqJw/2PHjmHz5s0IDQ0t9DzeV5Qc+HPZs2cPJBIJNm/erHB7REQEJBIJ9u7dq/Sxt2/fju+++w5aWlr47rvvsG3bto/trsDR0RFly5YVlWlqaqJNmzZ49OgRUlJShPKmTZvKTRPStGlTmJiYIDY2tshtEhHevHkDIvq4zgOYNm0aVFRUsHDhQgD/zTu7fv16TJgwAZaWltDR0cGbN2/w8uVLjBo1CjVq1ICenh4MDAzQunVrXLlyRe64inL7jIwMhX14/fo1Tp48ibZt2wpl69evR7169aCvrw8DAwPUqFEDCxYsUPr8GjVqBFtbW0RGRspty8rKwubNm9G8eXOUL19e6WO/z9XVFRoaGqIyBwcHODo6KvXYArk5bUFTBlpZWX3wdDO9e/dGcnIydu/eLbdt/fr1kEql6NWrl6jc3d0dDx48wOXLlz+oTfbt4OkRGPsCyAbpjI2NldovLS0NUVFRaNq0KaytrT9JvyQSiejnI9OnT8fEiRPRtWtXDBgwAImJiVi4cCGaNm2KS5cuwcjICJmZmfDw8EBGRgaGDh0Kc3NzPH78GLt27cLr169haGgoHO/o0aPYsGEDgoKCoKmpiSVLlsDT0xNnz54VfvJy48YNNGnSBAYGBhgzZgzU1dWxfPlyNGvWDEePHkXDhg1F/R46dCiMjY0RHByM+Ph4hIaGIjAwEBs2bAAAPH/+HK1atYKpqSnGjRsHIyMjxMfHY+vWraLjBAQEIDw8HP369UNQUBDi4uKwaNEiXLp0CTExMVBXV883dgcPHsT9+/fRr18/mJub48aNG1ixYgVu3LiB06dPQyKRoFOnTrh9+zbWrVuH+fPnC8mpqampwmOamZlBW1sbf//9N4YOHQoTE5N823/37h1atGiBhw8fIigoCOXLl8eaNWtw+PDhfPcpzJs3b/Dnn3+iR48eGDhwIFJSUrBy5Up4eHjg7NmzqF27tqh+WFgY0tPT8cMPPwjzLN+4cQONGjWCpaUlxo0bB11dXWzcuBHe3t7YsmULOnbsmG/7zs7OUFNTw4kTJzBgwAAAuQO4urq6aNCgAerXr4+YmBh07txZ2Ab8N9hblMekbdu20NPTw8aNG+Hm5iZqf8OGDXB0dBQ9Lz/0XGTS09Px4sULuXIDAwMhSV25ciUCAgLg6uqK4cOH4/79+2jfvj1MTExgZWUl7PP27Vt8//33SEhIwLBhw2Bubo7IyEi5QXUAOHz4MFq3bo169eohODgYKioqCAsLw/fff4/jx48LPxEdNGgQNm/ejMDAQFSvXh1JSUk4ceIEYmNjv9mfbDLGWEmSTROU9//gzMxMuLu749atW0KuNHPmTAwePBgaGhpo1qyZ6Kffit57FNHX1xcNkgK5FwyMHj0aEokE9erVw/Tp09GqVasPOp/69etDV1cXEydOhImJCapUqYK7d+9izJgxaNCggWhwulmzZpg1axYmTpwIX19fSCQSREZG4vz589i4cWOB7Whra6Nhw4YIDw+Hi4sLmjRpgtevX2Pq1KkwNjbGDz/8IKqfk5ODoUOHYsCAAahRo0aRz6coOfDu3bsxe/ZshfuHhYXJ/Yz7Yyxfvhz6+vrw8vJSuL1Tp07Q0dHB8uXLhZ9uF8WBAwfQuXNnVK9eHTNnzkRSUhL69euHChUq5LtPQkICUlNTYWtrqzCHfvz4MSwtLQts9+nTp9DR0YGOjk6B9VJTU5Gamio38FsQOzs7pKamQldXF97e3pg7d67cIH9RTJgwATNmzMDy5csxcOBA0bapU6dCQ0MDo0aNQkZGBjQ0NHDz5k1s374dXbp0QcWKFfHs2TNh2o6bN28KA5/K5vayL+1lr82DBw+iR48eaNGiBWbNmgUAiI2NRUxMDIYNG6bUOUokEvTs2RMzZszAjRs34OjoKGzbt28fXr58KRqklEqlePnyZZGObWhoWOBnLCLCs2fPRG0Wpnnz5khNTYWGhgY8PDwwd+5cODg4FHn/wnTq1Ak//vgjIiMj0alTJ9G2yMhI2NjYyF10U69ePQC5n1fq1KlTbH1hX6ESvtKXsW+K7Ccahw4dosTERPr3339p8+bNZGpqSpqamvTvv/+K6hf2U6wrV64QABo2bNhH9cvNzY2qVq1KiYmJlJiYSP/88w+NHj2aAFDbtm2FevHx8aSqqkrTp08X7X/t2jVSU1MTyi9dukQAaNOmTQW2C4AA0Pnz54WyBw8ekJaWlugn7d7e3qShoUH37t0Typ48eUL6+vrUtGlToUwW35YtW4p+ajJixAhSVVWl169fExHRtm3bCv2pjOxnPxEREaLyffv2KSzPS/aTwPetW7eOANCxY8eEMmWmRyAimjRpEgEgXV1dat26NU2fPp0uXLggVy80NJQA0MaNG4Wyt2/fUqVKleR+QmVjY6Pwp1N5f36fnZ0t9xOlV69eUbly5cjf318ok/180sDAgJ4/fy6q36JFC6pRo4bo50NSqZRcXV3JwcGh0PNv0KAB2dvbC/cDAgKoefPmREQ0ZswYatCggbDNx8eHdHR0KCsri4iK/pj06NGDzMzMRNOCJCQkkIqKCk2ZMqXYzkX2/Fd0W7duHRERZWZmkpmZGdWuXVsU+xUrVhAA0eMzd+5cAkDbt28Xyt69e0dVq1YVPeZSqZQcHBzIw8ND9DpJS0ujihUriqbfMDQ0/KgpHBhjjBWvCRMmEABKSUkRla9evZoA0B9//CGUzZ8/nzQ1NcnY2Fhu+oGC3oPev70/xdaDBw+oVatWtHTpUtq5cyeFhoaStbU1qaio0K5du/Ltc0HTIxAR7dq1iywsLETtenh4yJ1jamoqde3alSQSiVBPR0dH9L5XkDt37lDdunVF7djZ2dE///wjV3fRokVkaGgo5DFFnR6hqDlwUX3M9Ahv374lLS0t8vLyKrBemzZtSEtLi96+fVvkY9euXZssLCyE3JqI6MCBAwRAbnqEmJgYql+/vhBzAwMD8vX1pd27d9O///5Lp0+fpm7dutGoUaMKbPPOnTukpaVFffr0KbR/U6dOJQAUFRVVaN3Q0FAKDAykiIgI2rx5Mw0bNozU1NTIwcGBkpOTC90f702PMHLkSFJRUaHw8HBRHdkUBnZ2dnL5aHp6utw0CXFxcaSpqSnKO5XJ7YmI+vTpI8oThw0bRgYGBsU27d2NGzcIAI0fP15U3r17d9LS0hLFTvbZoCi3wp7va9asIQC0cuXKQvu4YcMG8vPzo1WrVtG2bdtowoQJpKOjQ2XLlqWHDx/mu5+y0yMQEXXp0kXuvP/55x+FMZLR0NCgH3/8Ual22LeHB20Z+4xkg4p5b7a2trR//365+oUliLKBxQkTJnxUv9zc3BT2q3379qL5nebNm0cSiYTu3LkjDPDKbtWqVaOWLVsS0X/zgw0YMKDABBAAubi4yJV369aNdHR0KDs7m7Kzs0lHR4e6du0qVy8gIIBUVFSEN0dZfN9PZoiItm7dSgDoypUrRPRf4hQcHEyZmZkK+xYUFCQk63nPVU9PjwYMGFBIVP/z7t07SkxMFBKW0NBQYZuyg7ZERJGRkdS4cWNSUVERHqs6deqI5npt1aoVWVhYyM2T9Ntvv33woO37cnJyKCkpiRITE6lt27ZUu3ZtYZvsPPv16yfaJykpiSQSCU2dOlUuprL5ah89elTguY8YMUI0d+13330nzFe2Y8cOUlNTE55zFhYWwoBuXgU9Jtu3bxe+XJFZuHAhAaBbt24V27kAoA4dOtDBgwflbk+fPiUiopMnTxIAWrZsmWjfzMxMMjQ0FD0+7u7uZGlpKfeYywZzZY/5xYsXCQCtWrVKru8DBgwgTU1N4cODjY0N1a9f/6PnJGOMMVY8fvzxR1JTU5Mr9/PzIzU1NUpNTRXK7t69K+QJDx48ENVX9N6j6PbkyZMC+5OUlETlypWjKlWq5FunsEHbM2fOUJs2bWj69Om0fft2mjx5Muno6MjNP5uVlUUTJkygLl260Lp162jt2rXUtGlT0tPTo1OnThXYT6LceXb79OlDQ4YMoa1bt9KSJUvI2tpauHBB5sWLF2RiYkJz5swRyoo6aFvUHLgwU6ZMoTJlypCKigoZGBhQ5cqVlT6G7HPC5MmThbKcnBx69+6dKFeQXRBw4sSJIh33yZMnBIDGjRsnt6169epyg7ZVq1alH3/8kaKioujIkSMUHBxMlStXFn3maNasGd2+fTvfNt++fUu1a9cmY2PjQnOSo0ePkpqamsLPDkUVERFR4Jyt7wNAgwcPpiFDhpCamhpFRkbK1ZF99ggJCSnwWNnZ2fTixQtKTEykmjVrkre3t7BNmdw+JyeHTE1N6bfffhPKgoODSVVVlfbu3VvoORVVnTp1qGLFisL91NRUha/dd+/eFfn/nJcvX+bbXmxsLBkYGJCLi8sHDz4fP36cJBIJBQQE5FvnQwZtd+zYIfdFl+y1df36dYX7lCtXjrp06aJUO+zbw4O2jH1GskHFxYsX08GDB2nz5s3Upk0b0tPTo+joaLn6n/NKW1tbWzp48CDt37+flixZQpaWluTi4iK6yuHHH38s8JvR9xeB+OmnnwgAaWtrU6tWrWjRokWib+OJcpOcvn37yvVn4sSJwsBcQkICAaCJEyfK1ZN94yx7I5TF9/Tp06J6skRJFmOpVEqdO3cWvu1v3749/fXXX6IrJlu3bl3gubZv377AmCYlJVFQUBCZmZnJ7ft+wvYhg7YyycnJdODAAWERLnt7e3r37h0REVWpUoWaNGkit48sofjQQdvw8HCqUaMGqauri87p/YRNNhD6/tUBRLkfygr7dv3ixYuUnZ0tPPaym+wq0y1bthAA2rx5M7169YokEgnt2bOHiIgSExOFc5N9aHr/eVPUxyQ9PZ0MDQ1p4MCBQlnjxo1FA9NFPZeCvH9lRn5kVwIrulKkTp06osencuXKoivPZfI+5hs2bCi077KEecOGDaSlpUUqKirUoEEDCg4OFl3xzhhj7PPKb9C2VatWZG1tLSqTSqVkYGBQ6CJdH2vcuHEEQO4XYzIFDdreu3ePdHR0aPPmzaLy8PBwAiC8xxPlfllfq1Yt0VWJmZmZ5ODgQE5OTgX2MSsri7777jsKDAwUld++fZvU1dVpzJgxQtmgQYOoUqVKol+4KLMQWVFy4M8hMjKSANDy5cuFsoMHDxIA0Xv5smXLCPjvVz6FOXXqVL5XOnbs2FFu0DbvArIyN27coD179lBsbCwRkcJFnIhyBzK9vLxIQ0Oj0CtnY2NjycTEhGrXrq1wgWZlmJubU4sWLQqtB4D09PQIAC1dulRhHdlnkdWrV8tty8nJoXnz5lGlSpVIVVVVlI+9f/GBMrn96dOnCQDduHFDKHv27BlVq1aNAJClpSX169fvowdw58yZQwAoJiaGiIjWrl1LAGjbtm0fdVxFEhISyM7OjqysrD76YgJnZ2fRL/fy+pBB28zMTDIxMRH9Ys3BwYFq1aqV7z5mZmYf9eUC+zbwnLaMlQAnJyfUr18fAODt7Y3GjRujZ8+euHXrlmi+scJUqlQJampquHbt2kf3SVdXVzRvWKNGjVC3bl38/PPP+P333wHkzkckW6xAVVVV7hjv933u3Lnw8/PDjh07cODAAQQFBWHmzJk4ffp0gfNdFQdFfQMgLCwgW5Dh9OnT+Pvvv7F//374+/tj7ty5OH36NPT09CCVSmFmZoaIiAiFx8pv3lmZrl274uTJkxg9ejRq164tHNPT0xNSqfTjTvD/DAwM4O7uDnd3d6irq2PVqlU4c+aM3FyshZFIJArLc3JyRLFcu3Yt/Pz84O3tjdGjR8PMzAyqqqqYOXOmwkX08i7qITvvUaNGwcPDQ2GblSpVwr///is3n9uRI0fQrFkzYX7aEydOCPOZubi4AADKli0LBwcHnDhxQlgYT1YfKPpjoqmpCW9vb2zbtg1LlizBs2fPEBMTgxkzZih9Ll8iWd9nz54tNw+xjOy13LVrVzRp0gTbtm3DgQMHMHv2bMyaNQtbt25Vau47xhhjxaNMmTLIzs5GSkqKaAFaLS0tufdziUQCQ0NDNG3aVO44T58+LVJ7hoaGhS7yJZtf/eXLl0rneOHh4UhPT0e7du1E5e3btweQO99j69atkZmZiZUrV2LMmDGixYLU1dXRunVrLFq0CJmZmXKLFskcO3YM169fx7x580TlDg4OqFatmjAP/p07d7BixQqEhobiyZMnQr309HRkZWUhPj4eBgYGBa4rUJI5sCLZ2dnC32/fvgUA0aJ0WVlZn7R9FRUV9OrVC3v37sXbt2/h6OgIb29veHl5oXnz5khISMC4ceOgoqIiyrVkBg4ciF27diEiIgLff/99vu38+++/aNWqFQwNDbFnzx6FCzQrw8rKqsjzsDZq1AiXL1/GokWL0LVr13yfH4peSzNmzMDEiRPh7++PqVOnwsTEBCoqKhg+fPgHf2bYs2cPbG1tUb16daHMzMwMly9fxv79+7F3717s3bsXYWFh6Nu3L1atWvVB7fTo0QNjxoxBZGQkXF1dERkZCWNjY7Rp00ZULycnR25R6PyYmJjIvY6Tk5PRunVrvH79GsePH//oBc6srKxw69atjzpGXurq6ujatSv++OMPPHv2DA8fPsSdO3fw22+/5bvP69evlZp3mX2beNCWsRImG/Rq3rw5Fi1ahHHjxhV5Xx0dHXz//fc4fPgw/v33X9GiRB+rZs2a6N27N5YvX45Ro0bB2toa9vb2ICJUrFgRlStXLvQYNWrUQI0aNTBhwgScPHkSjRo1wrJlyzBt2jShzp07d+T2u337NnR0dISBUR0dHYVvrP/88w9UVFQ++LydnZ3h7OyM6dOnIzIyEr169cL69esxYMAA2Nvb49ChQ2jUqFGRVj9+36tXrxAVFYWQkBBMmjRJKFd0rvkNmCqrfv36WLVqFRISEgAANjY2uH79OohI1IaiOBobG+P169dy5Q8ePICdnZ1wf/PmzbCzs8PWrVtFxwwODi5SH2XHUldXV7jqtYy6ujoOHjwoKqtVqxaA3IRTNjCrq6uL6tWrixbKc3V1RUxMDB49egRVVVVhQFeZxwQAunXrhlWrViEqKgqxsbEgInTr1k3pc/lYNjY2Qj/f/6CSlZWFuLg4IS6yujdv3pR7zO/evSs6pr29PYDcQf+i9N3CwgKDBw/G4MGD8fz5c9StWxfTp0/nQVvGGCsBVatWBQDExcWhZs2aQrmVlRX279+PrKwsYRGfK1eu4N9//8Xjx4/ljmNhYVGk9sLCwuDn51dgnfv37wMo/AttRZ49ewYiklvVXTaQKBtwTEpKQnZ2tsLV37OysiCVSgtcGf7Zs2cAkO/+snYeP34MqVSKoKAgBAUFydWtWLEihg0bhtDQ0ALPqyg58KcmW0RLdu5Abm4H5C42LHv+yAbwzc3Ni3Tc93OTvBTlme3bt0etWrXwxx9/QEVFBYcPH8bixYtF+WOtWrUQHh4ut+/o0aMRFhaG0NBQ9OjRI98+JSUloVWrVsjIyEBUVFSRn9/5ISLEx8cXeYGoSpUq4bfffkOzZs3g6emJqKioIg8ab968Gc2bN8fKlStF5XkH9JTJ7Xfv3i03cAoAGhoa8PLygpeXF6RSKQYPHozly5dj4sSJH3SxQfny5dG8eXNs2rQJEydOxMGDB+Hn5yc36Krogoz8yC7UkElPT4eXlxdu376NQ4cOiQaiP9T9+/c/6P+rwvTq1QvLli3Dhg0bEBcXB4lEku/z9vHjx8jMzES1atWKvR/s66JSeBXG2KfWrFkzODk5ITQ0FOnp6UrtGxwcDCJCnz59RN+ay1y4cOGDvz0dM2YMsrKyhKsSOnXqBFVVVYSEhAhXrcoQEZKSkgAAb968EX2rD+QmryoqKsjIyBCVnzp1ChcvXhTu//vvv9ixYwdatWoFVVVVqKqqolWrVtixYwfi4+OFes+ePUNkZCQaN24MAwMDpc7r1atXcv2XXXEo61/Xrl2Rk5ODqVOnyu2fnZ2tcJBTRnZ1at42FCX4urq6AFDg8WTS0tJw6tQphdv27t0LAKhSpQoAoE2bNnjy5Ak2b94s2n/FihVy+9rb2+P06dPIzMwUynbt2iVcrSqj6LzOnDmTb5/yMjMzQ7NmzbB8+XJhcPl9sm/gtbS00LJlS9HN2NhYqNe4cWNcvnwZBw4cgKurq+gYrq6uOHXqFI4fP46aNWsKCbMyjwkAtGzZEiYmJtiwYQM2bNgAJycnUbJZ1HP5WPXr14epqSmWLVsmenzCw8PlnjMeHh54/Pgxdu7cKZSlp6fjjz/+ENWrV68e7O3tMWfOHIX/Z8j6npOTg+TkZNE2MzMzlC9fXu51zBhj7POQfRl5/vx5UbmbmxsyMjKwfv16oWz58uVC3bxX7B08eLBIt/d/TaLove3x48f466+/ULNmzQ8aKKtcuTKICBs3bhSVr1u3DgCEQTMzMzMYGRlh27ZtovfD1NRU/P3336hataroS/Z//vkHDx8+FLUDQBQfALh48SJu3boltPPdd99h27ZtcjdHR0dYW1tj27Zt6N+/f77no0wO/KnVrVsXampqOHDggFB25MgRmJqa4tChQ0LZ/v37oa6uXuQBSgsLC9SuXRurVq0S5QkHDx7EzZs35eqvXr0aGzduROfOndGxY0csXLgQT548wYkTJxAZGYlTp07h0qVLcr/+mT17NubMmYOff/4Zw4YNy7c/b9++RZs2bfD48WPs2bMHDg4O+dZ9+PAh/vnnH1GZouf10qVLkZiYCE9Pz3yPlVfNmjWxZ88exMbGwsvLC+/evSvSfqqqqnL56aZNm+S+bClqbv/s2TNcvHgRbdu2FZXLPqfJqKioCAP3H/Pc7NWrF54/f46AgABkZWWhV69ecnXMzc2L/H/O+xck5OTkoFu3bjh16hQ2bdok/P+nSEJCAv755x/RleOKHts9e/bgwoULSj22RdWoUSPY2tpi7dq12LBhA9zc3PK9uv7ChQsAIPdZhrG8+Epbxr4Qo0ePRpcuXRAeHo5BgwYJ5YmJiQq/la9YsSJ69eoFV1dXLF68GIMHD0bVqlXRp08fODg4ICUlBdHR0di5c+cHf6tfvXp1tGnTBn/++ScmTpwIe3t7TJs2DePHj0d8fDy8vb2hr6+PuLg4bNu2DT/88ANGjRqFw4cPIzAwEF26dEHlypWRnZ2NNWvWQFVVFZ07dxa18d1338HDwwNBQUHQ1NTEkiVLAAAhISFCnWnTpuHgwYNo3LgxBg8eDDU1NSxfvhwZGRkF/uQkP6tWrcKSJUvQsWNH2NvbIyUlBX/88QcMDAyEb6Xd3NwQEBCAmTNn4vLly2jVqhXU1dVx584dbNq0CQsWLICPj4/C4xsYGKBp06b47bffkJWVBUtLSxw4cABxcXFydevVqwcA+OWXX9C9e3eoq6vDy8tLGMx9X1paGlxdXeHs7AxPT09YWVnh9evX2L59O44fPw5vb28h4R44cCAWLVqEvn374sKFC7CwsMCaNWuEKQXeN2DAAGzevBmenp7o2rUr7t27h7Vr1wpXZMq0a9cOW7duRceOHdG2bVvExcVh2bJlqF69usLBP0UWL16Mxo0bo0aNGhg4cCDs7Ozw7NkznDp1Co8ePcKVK1cKPUbjxo0RFhaGc+fOYciQIaJtrq6uSE5ORnJyMoYOHSqUK/OYALlX0Hbq1Anr16/H27dvMWfOnE9yLrdv38batWvlysuVKydMezFt2jQEBATg+++/R7du3RAXF4ewsDDRVdAAEBAQgEWLFqFHjx4YNmwYLCwsEBERAS0tLQD/XdWtoqKCP//8E61bt4ajoyP69esHS0tLPH78GEeOHIGBgQH+/vtvpKSkoEKFCvDx8UGtWrWgp6eHQ4cO4dy5c5g7d26h58YYY6z42dnZ4bvvvsOhQ4fg7+8vlHfq1AkODg4YNGgQ7t27h+zsbCxfvhydO3fGli1bMGLECPTv318YpPmQX4mMGTMG9+7dQ4sWLVC+fHnEx8dj+fLlePv2LRYsWCCq++DBA6xZswbAfwPMsnzUxsYGffr0AQD4+flhzpw5CAgIwKVLl+Do6IiLFy/izz//hKOjIzp27Aggd2Br1KhRmDBhApydndG3b1/k5ORg5cqVePTokdx7abVq1eDm5obo6GgAufmWu7s7Vq1ahTdv3qBVq1ZISEjAwoULoa2tjeHDhwPInWrJ29tb7txlX/Iq2vY+ZXLgDxUfH4+KFSvC19dX4dWpMkZGRujRowfWrFmD/v37w8bGBrt378b8+fMxcuRIWFlZ4erVqzh//jz69+8PQ0PDIvdh5syZaNu2LRo3bgx/f3+8fPkSCxcuhKOjo1xO2LBhQ7n9VVVV0ahRIzRq1Ejh8bdt24YxY8YI01fkfXzd3d2FK4l79eqFs2fPwt/fH7GxsYiNjRXq6enpiR6zvn374ujRo6JBUhsbG3Tr1g01atSAlpYWTpw4gfXr16N27doICAgockyA3F/x7dixA23atIGPjw+2b98uXPmen3bt2mHKlCno168fXF1dce3aNURERMjleUXN7ffs2QMtLS00b95cVD5gwAC8fPkS33//PSpUqIAHDx5g4cKFqF27tuhqT1tbWwAQXSxTkM6dO2Pw4MHYsWMHrKysFE7HIrsgQ1kjR47Ezp074eXlhZcvX8o9D3r37i38PX78eKxatQpxcXHCObi6uqJOnTqoX78+DA0NcfHiRfz111+wsrLCzz//LDrWsWPHcOzYMQC5n7/fvn0r/J/VtGlTheeVl0QiQc+ePYVpPqZMmZJv3YMHD8La2rrIX5awb9jnnkSXsW+ZbKGsc+fOyW3Lyckhe3t7sre3F1bDdHNzy3ehoLwT41+4cIF69uxJ5cuXJ3V1dTI2NqYWLVrQqlWrRAs2KFLQ4grR0dEEgIKDg4WyLVu2UOPGjUlXV5d0dXWpatWqNGTIELp16xYR5a6c6+/vT/b29qSlpUUmJibUvHlzOnTokOjY+P9CTGvXriUHBwfS1NSkOnXqiCbSl7l48SJ5eHiQnp4e6ejoUPPmzenkyZNFiq9s8n/ZcS9evEg9evQga2tr0tTUJDMzM2rXrh2dP39ert0VK1ZQvXr1SFtbm/T19alGjRo0ZsyYQldTfvToEXXs2JGMjIzI0NCQunTpIqy2+34siYimTp1KlpaWpKKiUuCiZFlZWfTHH3+Qt7c32djYkKamJuno6FCdOnVo9uzZogUziIgePHhA7du3Jx0dHSpbtiwNGzaM9u3bJ7dYARHR3LlzydLSkjQ1NalRo0Z0/vx5uYXIpFIpzZgxQ2i7Tp06tGvXLvL19RUtOiFbiGz27NkKz+PevXvUt29fMjc3J3V1dbK0tKR27drJLUKSn1u3bgmvg7wrDUulUjIyMiIAtGHDBtE2ZR4Tov8W65BIJPkurvIx55LfaxuA3OIHS5YsoYoVK5KmpibVr1+fjh07pnChuPv371Pbtm1JW1ubTE1NaeTIkcLibXkX6Lt06RJ16tSJypQpQ5qammRjY0Ndu3YVFvnIyMig0aNHU61atUhfX590dXWpVq1atGTJkkLPjTHG2Kczb9480tPTo7S0NFH5vXv3yMvLS8iVfH19KTs7m3755RfS1dVV+F6njMjISGratCmZmpqSmpoalS1bljp27EgXLlyQqyvLvYryHvfo0SPy9/enihUrkoaGBllYWNDAgQMpMTFR7rgRERHk5ORERkZGpK2tTQ0bNlT4nquonbS0NJoyZQpVr16dtLW1ydDQkNq1a0eXLl0q9NyLuhBZUXPgj3Ht2jUCQOPGjSu07ps3b6hPnz6kr69PZmZmwnv4uHHjyMTEhAwNDal///709u1bpfuxZcsWqlatGmlqalL16tVp69atcjnhhwoODi4wT8q7oG5+9fL2RfbZ6n0DBgyg6tWrk76+Pqmrq1OlSpVo7NixRV7ITPZ55n07duwgNTU16tatG+Xk5Aivh02bNsntn56eTiNHjiQLCwvS1tamRo0a0alTpxTmeUXJ7X18fKhNmzZy7WzevJlatWpFZmZmpKGhQdbW1hQQEEAJCQmiemXLliVnZ+cinbtMly5dCIBoQb/iUNBn4byPo6+vr9znqF9++YVq165NhoaGpK6uTtbW1vTjjz/S06dP5doq6DmnzP+dN27cIACkqalJr169UlgnJyeHLCwsaMKECUU+Lvt2SYjyXIvPGGOfiUQiwZAhQ7Bo0aKS7so3Izo6Gs2bN5ebL4p9vUJDQzFixAg8evQIlpaWJd0dxhhjHyk5ORl2dnb47bffCvypPvs6LVmyRLjqWXa1KWNA7hRuZcqUwcyZMzF48GCl97958yYcHR2xa9cuuekVWPHZvn07evbsiXv37n30/Mvs68dz2jLGGGNfibzzp6Wnp2P58uVwcHDgAVvGGPtKGBoaYsyYMZg9e/YHry7PSq8jR44gKCiIB2yZnJcvX2LEiBHCtCLKOnLkCFxcXHjA9hObNWsWAgMDecCWFQlfacsYKzF8pe3nx1faft1at24Na2tr1K5dG8nJyVi7di1u3LiBiIgI9OzZs6S7xxhjjLEvWHJycqELaJmbm3+m3jDGGOOFyBhjjLGvhIeHB/78809EREQgJycH1atXx/r169GtW7eS7hpjjDHGvnDDhg3DqlWrCqzD13wxxtjnU2qutM3JycHkyZOxdu1aPH36FOXLl4efnx8mTJggrIjNGGOMMcbYl4xzWsbYl+rmzZt48uRJgXVatmz5mXrDGGOs1FxpO2vWLCxduhSrVq2Co6Mjzp8/j379+sHQ0BBBQUEl3T3GGGOMMcYKxTktY+xLVb16dVSvXr2ku8EYY+z/Ss2Vtu3atUO5cuWwcuVKoaxz587Q1tbG2rVrS7BnjDHGGGOMFQ3ntIwxxhhjrChKzZW2rq6uWLFiBW7fvo3KlSvjypUrOHHiBObNm5fvPhkZGcjIyBDuS6VSvHz5EmXKlOGfnzHGGGOMlUJEhJSUFJQvXx4qKiol3R2lKZvTcj7LGGOMMfZ1KXI+S6VETk4OjR07liQSCampqZFEIqEZM2YUuE9wcDAB4Bvf+MY3vvGNb3zj21d2+/fffz9TFlq8lM1pOZ/lG9/4xje+8Y1vfPs6b4Xls6VmeoT169dj9OjRmD17NhwdHXH58mUMHz4c8+bNg6+vr8J98l6ZkJycDGtrazx48AAGBgafvM9SqRQvXrxA2bJlS+WVIJ8bx0s5HC/lccyUUyrjlZkJyf+vVqOffgI0ND5b06UyXiWI46Ucjtd/3rx5AxsbG7x+/RqGhoYl3R2lKZvTlnQ+C/DzT1kcL+VwvJTD8VJOqYwX57OlBsdLORyv/xQ1ny01g7ZWVlYYN24chgwZIpRNmzYNa9euxT///FOkY7x58waGhoZITk7+bIO2z58/h5mZ2Tf/hCwKjpdyOF7K45gpp1TG6+1bQE8v9+/UVEBX97M1XSrjVYI4XsrheP3nc+dzxe1jc9qSOH9+/imH46UcjpdyOF7KKZXx4ny21OB4KYfj9Z+i5nOlJkppaWlyD6qqqiqkUmkJ9YgxxhhjjDHlcE7LGGOMMcaKotQsRObl5YXp06fD2toajo6OuHTpEubNmwd/f/+S7hpjjDHGGGNFwjktY4wxxhgrilIzaLtw4UJMnDgRgwcPxvPnz1G+fHkEBARg0qRJJd01xhhjjDHGioRzWsYYY4wxVhSlZtBWX18foaGhCA0NLemuMMYY+4bl5OQgKytLrlwqlSIrKwvp6enf/BxNRcHxUs63FC91dXWoqqqWdDc+Gc5pGWOMfWlk+e23lG8UB46Xcr6leBVXPltqBm0ZY4yxkkREePr0KV6/fp3vdqlUipSUFEgkks/buVKI46Wcby1eRkZGMDc3/ybOlTHGGCspefPbby3f+FgcL+V8a/EqjnyWB20ZY4yxIpAltGZmZtDR0ZF78yUiZGdnQ01N7ZtIQj4Wx0s530q8iAhpaWl4/vw5AMDCwqKEe8QYY4x9vfLmtwC+iXyjuHwr+Vlx+VbiVZz5LA/aMsYY+3poaQFnz/73dzHJyckREtoyZcoorPOtJCHFheOlnG8pXtra2gCA58+fw8zM7KueKoExxhiT84ny2bwU5bffUr5RHDheyvmW4lVc+SwP2jLGGPt6qKoCDRoU+2Flc9jKrkBgjH1astdaVlYWD9oyxhj7tnyifDYvzm8Z+7SKI5/9umf+ZYwxxorR1/6NMGNfCn6tMcYYY58Hv+cy9mkUx2uLr7RljDH29cjMBBYsyP172DBAQ6Nk+8MYY4wxxpgyOJ9ljP0fX2nLGGPs65GVBYwZk3v7/0++2Ldh8uTJqF27dkl3A0lJSTAzM0N8fPxnbTc6OhoSiURY/flD+fn5wdvbu1j6BMg/LuPGjcPQoUOL7fiMMcbYV4fz2Y/SrFkzDB8+/LO1t3r1ahgbG3+29ti3hQdtGWOMMfZZ2NraIjQ0tKS78UlNnz4dHTp0gK2tbUl3pUDx8fGQSCS4fPmyqHzBggUIDw//ZO2OGjUKq1atwv379z9ZG4wxxhj7uvn5+UEikcjd7t69i61bt2Lq1KlCXUX5Z3h4OIyMjD5bf9/vo66uLhwcHODn54cLFy7I1SUirFixAg0bNoSenh6MjIxQv359hIaGIi0tTem288v5WOnAg7aMMcYYY8UgLS0NK1euRP/+/Uu6Kx/M0NDwk36IKVu2LDw8PLB06dJP1gZjjDHGvn6enp5ISEgQ3SpWrAgTExPo6+uXdPfkhIWFISEhATdu3MDixYuRmpqKhg0bYvXq1aJ6ffr0wfDhw9GhQwccOXIEly9fxsSJE7Fjxw4cOHCghHr/4TIzM0u6C6UaD9oyxhhjn9GjR8CRI7n/fkorVqxA+fLlIZVKReUdOnSAv79/kY7x999/o0GDBtDS0kLZsmXRsWPHfOveu3cPHTp0QLly5aCnp4cGDRrg0KFDwvZmzZrhwYMHGDFiBCQSCVRU8k9BXr9+jQEDBsDU1BQGBgb4/vvvceXKFVGdX3/9FeXKlYO+vj769++P9PR00fbs7GwEBQXByMgIZcqUwdixY+Hr6yv66b9UKsXMmTNRsWJFaGtro1atWti8ebOw/dWrV+jVqxdMTU2hra0NBwcHhIWF5dvvPXv2QFNTE87OzkJZTk4O+vfvL7RRpUoVLJDNU/d/sikJ5syZAwsLC5QpUwZDhgwRVnUGgDVr1sDZ2RkGBgYwNzdHz5498fz5c4X9ePv2LQwMDETnAgDbt2+Hrq4uUlJSULFiRQBAnTp1IJFI0KxZM1Ff3o/Rb7/9hkqVKkFTUxPW1taYPn26sH3s2LGoXLkydHR0YGdnh4kTJ4r6rYiXlxfWr19fYB3GGGOMsYJoamrC3NxcdFNVVRVNj5A3/5RIJIiOjka/fv2QnJwslE2ePBkAkJGRgVGjRsHS0hK6urpo2LAhoqOjRe2Gh4fD2toaOjo66NSpE5KSkorUXyMjI5ibm8PW1hatWrXC5s2b0atXLwQGBuLVq1cAgI0bNyIiIgLr1q3Dzz//jAYNGsDW1hYdOnTA4cOH0bx5c4XHLihnzS/nA4A///wT1apVg5aWFqpWrYolS5YI22RX6K5fvx6urq7Q0tLCd999h6NHjxZ4nra2tpg6dSr69u0LAwMD/PDDDwCAEydOoGnTpjAwMIC1tTWCgoLw9u1bYb8lS5bAwcEBWlpaKFeuHHx8fIRtzZo1Q2BgIAIDA2FoaIiyZcti4sSJICJRDPr27QtjY2Po6OigdevWuHPnjrBddnX1/v37Ua1aNejp6QkD/zLR0dFwcnKCrq4ujIyM0KhRIzx48EDYvmPHDtStWxdaWlqws7NDSEgIsrOzC4zHx+JBW8YYY+wzWbkSsLEBvv8+99+VKz9dW126dEFSUhKOHDkilL18+RL79u1Dr169Ct1/9+7d6NixI9q0aYNLly4hKioKTk5O+dZPTU1FmzZtEBUVhUuXLsHT0xNeXl54+PAhAGDr1q2oUKECpkyZgoSEBDx58qTAvj9//hx79+7FhQsXULduXbRo0QIvX74EkJvQTp48GTNmzMD58+dhYWEhSjIBYNasWYiIiEBYWBhiYmLw5s0bbN++XVRn5syZWL16NZYtW4YbN25gxIgR6N27t5CMTpw4ETdv3sTevXsRGxuLpUuXomzZsvn2+/jx46hXr56oTCqVokKFCti0aRNu3ryJSZMm4eeff8bGjRtF9Y4cOYJ79+7hyJEjWLVqFcLDw0XTFGRlZWHy5Mm4fPkytm/fjvj4ePj5+Snsh66uLrp37y43wBwWFgYfHx/o6+vj7NmzAIBDhw4hISEBW7duVXis8ePH49dffxViERkZiXLlygnb9fX1ER4ejps3b2LBggX4448/MH/+/HxjBABOTk549OjRZ5/3lzHGGGPflrz5Z0JCAlxdXREaGgoDAwOhbNSoUQCAwMBAnDp1CuvXr8fVq1fRpUsXeHp6CoN/Z86cQf/+/REYGIjLly+jWbNmmDlz5gf3b8SIEUhJScHBgwcBABEREahSpQo6dOggV1cikcDQ0FDhcQrKWfPL+SIiIjBp0iRMnz4dsbGxmDFjBiZOnIhVq1aJjj169GiMHDkSly5dgouLC7y8vAodqJ4zZw5q1aqFS5cuYeLEibh37x48PT3RqVMnXLhwAevXr8eJEycQGBgIADh//jyCgoIwZcoU3Lp1C/v27UPTpk1Fx1y1ahXU1NRw9uxZLFiwAPPmzcOff/4pbPfz88P58+exc+dOnDp1CkSENm3aiC4mSEtLw5w5c7BmzRocO3YMDx8+FB777OxseHt7w83NDVevXsWpU6fwww8/QCKRAMjN8/v27Ythw4bh5s2bWL58OcLDw0UXM3wS9A1JTk4mAJScnPxZ2svJyaGEhATKycn5LO2Vdhwv5XC8lMcxU06pjFdqKhGQe0tNLbbDvnv3jm7evEnv3r3Lt45UKqXMzEySSqUKt//7L5GKyn/dA4hUVXPLP5UOHTqQv7+/cH/58uVUvnz5Ij2mLi4u1KtXr49q39HRkRYuXCjct7Gxofnz5xNR/vE6fvw4GRgYUHp6uqjc3t6eli9fLvRt8ODBou0NGzakWrVqCffLlStHs2fPFu5nZ2eTtbU1dejQgYiI0tPTSUdHh06ePCk6Tv/+/alHjx5EROTl5UX9+vUr8vnmjXd+hgwZQp07dxbu+/r6ko2NDWVnZwtlXbp0oW7dugn388br3LlzBIBSUlKIiOjIkSMEgF69ekVERGfOnCFVVVV68uQJERE9e/aM1NTUKDo6moiI4uLiCABdunRJ1DdfX18hRm/evCFNTU36448/ihyD2bNnU7169YT7wcHBoseF6L98TNYXRQp6zX3ufO5LUxLnXyrfD0oQx0s5HC/lcLyUUyrj9Yny2bwUvddKpVKqWzeHLC2lZGlJn+32XupQJL6+vqSqqkq6urrCzcfHh4iI3NzcaNiwYULd9/NPmbCwMDI0NBSVPXjwgFRVVenx48ei8hYtWtD48eOJiKhHjx7Upk0bUby6dOkid6y8ANC2bdvkyt+9e0cAaNasWUREVK1aNWrfvn2Bx1KkoJw1v5zP3t6eIiMjRWVTp04lFxcX0X6//vqrsD0rK4sqVKgg9FcRGxsb8vb2FpX179+ffvjhB1E+e/z4cVJRUaF3797Rli1byMDAgN68eaPwmG5ublStWjXR54axY8dStWrViIjo9u3bBIBiYmKE7S9evCBtbW3auHEjEeU+5gDo7t27Qp3FixdTuXLliIgoKSmpwPy0RYsWNGPGDFHZmjVryMLCIt9YFEc+q/Zph4QZY4wxBgB37gB5ZipATg5w9y5QocKnabNXr14YOHAglixZAk1NTURERKB79+4FTk0gc/nyZQwcOLDIbaWmpmLy5MnYvXs3EhISkJ2djXfv3glX2hbVlStXkJqaijJlyojK3717h3v37gEAYmNjMWjQINF2FxcX4ari5ORkPHv2THRlsKqqKurVqydMF3H37l2kpaXB3d1ddJzMzEzUqVMHAPDjjz+ic+fOuHjxIlq1agVvb2+4urrm2/d3795BS0tLrnzx4sX466+/8PDhQ7x79w6ZmZmoXbu2qI6joyNUVVWF+xYWFrh27Zpw/8KFCwgODsa1a9fw6tUr4TwePnyI6tWry7Xp5OQER0dHrFq1CuPGjcPatWthY2Mjd9VCQWJjY5GRkYEWLVrkW2fDhg34/fffce/ePaSmpiI7OxsGBgYFHldbWxsAPmgxDcYYY4x9Ws+eSfD4saSku1Go5s2bi+bI19XV/ajjXbt2DTk5OahcubKoPCMjQ8hLY2Nj5aYLc3Z2/uC5Zun/P++XXc1J7/3cXxnK5qxv377FvXv30L9/f1G+n52dLXc1r4uLi/C3mpoa6tevj9jY2AL7U79+fdH9K1eu4OrVq4iIiBDKiAhSqRRxcXFwd3eHjY0N7Ozs4OnpCU9PT3Ts2BE6OjpCfWdnZyFOsn7NnTsXOTk5iI2NhZqaGho2bChsL1OmDKpUqSLqq46ODuzt7YX7FhYWwnRjJiYm8PPzg4eHB9zd3dGyZUt07doVFhYWwjnExMSIrqzNyclBeno60tLSRH0tTjxoyxhj7OuhpZU7Yazs7y+IgwOgoiIeuFVVBSpV+nRtenl5gYiwe/duNGjQAMePHy/0p+sysoG1oho1ahQOHjyIOXPmoFKlStDW1oaPj4/Siw+kpqbCwsJCbv4wAMW6QFZqaiqA3GkgLC0tRds0NTUBAK1bt8aDBw+wZ88eHDx4EC1atMCQIUMwZ84chccsW7asMCeZzPr16zFq1CjMnTsXLi4u0NfXx+zZs3HmzBlRPXV1ddF9iUQiDMy+ffsWnp6ecHd3x9q1a2FmZoaHDx/Cw8OjwPgOGDAAixcvxrhx4xAWFoZ+/fqJkt3CFPYcOHXqFHr16oWQkBB4eHjA0NAQ69evx9y5cwvcTzbNhampaZH7whhjjH0zSjifLVdONnD4+QZuzc2V30dXVxeVijGRTk1NhaqqKi5cuCD6Ih0A9PT0iq2d98kGFGXzzlauXBn//POP0sdRNmeV5cF//PGHaKATgNy5f4i8A+ipqakICAjA0KFDkZ2dDTU1NSEntba2hoaGBi5evIjo6GgcOHAAkyZNwuTJk3Hu3Llizf8V5dvvD5SHhYUhKCgI+/btw4YNGzBhwgQcPHgQzs7OSE1NRUhICDp16iR3XEUXbRQXHrRljDH29VBVBd6bXP9LUqECsGIFEBCQe4WtqiqwfPmnu8oWyE0gOnXqhIiICNy9exdVqlRB3bp1i7RvzZo1ERUVhX79+hWpfkxMDPz8/ISrD1JTU+XmLNXQ0EBOTk6Bx6lbty6ePn0KNTU12NraKqxTrVo1nDlzBn379hXKTp8+LfxtaGiIcuXK4dy5c8KVpTk5Obh48aJwhWv16tWhqamJhw8fws3NLd/+mJqawtfXF76+vmjSpAlGjx6dbwJcp04drF27VlQWExMDV1dXDB48WCiTXTFcVP/88w+SkpIwffp0VKxYERKJBOfPny90v969e2PMmDH4/fffcfPmTfj6+grbNDQ0AKDAx8PBwQHa2tqIiorCgAED5LafPHkSNjY2+OWXX4Sy9xdryM/169ehrq4OR0fHQusyxhhj35wSzmdPn875/6BaiXWhWCnKPxWV1alTBzk5OXj+/DmaNGmi8FiyHPR9ee8rQza3bsuWLQEAPXv2RPfu3bFjxw65eW2JCG/evMl3Xtv8clZFOV+5cuVQvnx53L9/v9C1Lk6fPi3k09nZ2bhw4YIwF21R1a1bFzdv3kSlSpXkBm1l1NTU0LJlS7Rs2RLBwcEwMjLC4cOHhUHSvHE+ffo0HBwcoKqqimrVqiE7OxtnzpwRrjBOSkrCrVu3FP4irSB16tRBnTp1MH78eLi4uCAyMhLOzs6oW7cubt26VaxfFBQFD9oyxhhjn0n//oCHR+6UCJUqfdoBW5levXqhXbt2uHHjBnr37l3k/YKDg9GiRQvY29uje/fuyM7Oxp49ezB27FiF9R0cHLB161Z4eXlBIpFg4sSJwpWiMra2tjh27Bi6d+8ODQ0Nhd+ct2zZEi4uLvD29sZvv/2GypUr48mTJ8LCaPXr18ewYcPg5+eH+vXro1GjRoiIiMCNGzdgZ2cnHGfo0KGYOXMmKlWqhKpVq2LhwoV49eqVkCDq6+tj1KhRGDFiBKRSKRo3bozk5GTExMTAwMAAvr6+mDRpEurVqwdHR0dkZGRg165dqFatWr4x8/DwwPjx4/Hq1SsYGxsLcVm9ejX279+PihUrYs2aNTh37pxwRUVRyK5AWLx4MQYPHowbN25g6tSphe5nbGyMTp06YfTo0WjVqhUqvPeEMzMzg7a2Nvbt24cKFSpAS0tL7kOAlpYWxo4dizFjxkBDQwONGjVCYmIibty4gf79+8PBwQEPHz7E+vXr0aBBA+zevRvbtm0rtF/Hjx9HkyZNlL6amzHGGGNMWe/nn5qamihbtixsbW2RmpqKqKgo1KpVCzo6OqhcuTJ69eqFvn37Yu7cuahTpw4SExMRFRWFmjVrom3btggKCkKjRo0wZ84cdOjQAfv27Svy1AivX7/G06dPkZGRgdu3b2P58uXYvn07Vq9eLeTEXbt2xbZt29CjRw9MmDABrVq1gqmpKa5du4b58+dj6NCh8Pb2ljt2QTlrfjlfSEgIgoKCYGhoCE9PT2RkZOD8+fN49eoVfvrpJ+HYixcvhoODA6pVq4b58+fj1atX8Pf3V+oxGDt2LJydnREYGAg/Pz8YGhoiNjYWBw8exKJFi7Br1y7cv38fTZs2hbGxMfbs2QOpVIoqVaoIx3j48CF++uknBAQE4OLFi1i4cKHw6y4HBwd06NABAwcOxPLly6Gvr49x48bB0tJS4aJuisTFxWHFihVo3749ypcvj1u3buHOnTvCRSKTJk1Cu3btYG1tDR8fH6ioqODKlSu4fv06pk2bplQ8lFLgjLdfGV6I7MvG8VIOx0t5HDPllMp4ZWYSLVqUe8vMLLbDFsdCZCUlJyeHLCwsCADdu3dPqX23bNlCtWvXJg0NDSpbtix16tQp37pxcXHUvHlz0tbWJisrK1q0aJHcQhCnTp2imjVrkqamJgHIN15v3ryhoUOHUvny5UldXZ2srKyoV69e9PDhQ6HO9OnTqWzZsqSnp0e+vr40ZswY0YJXWVlZFBgYSAYGBmRsbExjx46lLl26UPfu3YU6UqmUQkNDqUqVKqSurk6mpqbk4eFBR48eJaLcxRiqVatG2traZGJiQh06dKD79+8XGDMnJydatmyZcD89PZ38/PzI0NCQjIyM6Mcff6Rx48aJ+vr+4l8yw4YNIzc3N+F+REQE2drakqamJrm4uNDOnTtFi0rkXYhMJioqigAIizC8748//iArKytSUVER2srbl5ycHJo2bRrZ2NiQuro6WVtbixZhGD16NJUpU4b09PSoW7duNH/+fNFiHIoWIqtSpQqtW7cu3xgS8UJkBeGFyL58HC/lcLyUw/FSTqmM1yfKZ/PKbyGyLzGfzUtR7iRTWP4pM2jQICpTpgwBoODgYCIiyszMpEmTJpGtrS2pq6uThYUFdezYka5evSrst3LlSqpQoQJpa2uTl5cXzZo1q0gLkcluWlpaZG9vT76+vnThwgW5ujk5ObR06VJq0KAB6ejokIGBAdWrV48WLFhAaWlpCo9fWM6qKOcjys0vZbm+sbExNW3alLZu3UpE/y1EFhkZSU5OTqShoUHVq1enw4cPF3iuihZ+IyI6e/Ysubu7k56eHunq6lLNmjVp+vTpRJS7ELGbmxsZGxuTtrY21axZkzZs2CDs6+bmRoMHD6ZBgwYJuf3PP/8sep6+fPmS+vTpQ4aGhqStrU0eHh50+/ZtYbuixee2bdsmPCeePn1K3t7eZGFhQRoaGmRjY0OTJk0S/d+xb98+cnV1JW1tbTIwMCAnJydasWJFvrEojnxWQvSBMx2XQrJLyZOTkwtdJKM4SKVSPH/+HGZmZkVa9OVbx/FSDsdLeRwz5ZTKeL19C8jmnEpNBT5yQQKZ9PR0xMXFoWLFivnOWURE+f7ch8n73PGSSqWoVq0aunbtWqSrVD/U7t27MXr0aFy/fr1YXzcfGq81a9ZgxIgRePLkifDzuJK0d+9ejBw5ElevXoWaWv4/+CroNfe587kvTUmcf6l8PyhBHC/lcLyUw/FSTqmM1yfKZ/NS9F7L+axyvuZ4xcfHo2LFirh06ZLcArof6kPj1axZM9SuXRuhoaHF0o/PpTjyWZ4egTHGGGNfnQcPHuDAgQNwc3NDRkYGFi1ahLi4OPTs2fOTttu2bVvcuXMHjx8/hpWV1SdtqyBpaWlISEjAr7/+ioCAgC9iwBbIXVQtLCyswAFbxhhjjDHGGFBKvmpijDHGWHFydHSEnp6ewltERERJd++jqaioIDw8HA0aNECjRo1w7do1HDp0qMA5aYvL8OHDS3TAFgB+++03VK1aFebm5hg/fnyJ9uV9Pj4+cqsUM8YYY4wxxuTxZQ6MMcbYN2jPnj3IyspSuK1cuXKfuTfFz8rKCjExMSXdjRIzefJkTJ48uaS7wRhjjDHGSiFbW1t8KbOpRkdHl3QXSgwP2jLGGGPfIBsbm5LuAmOMMcYYY4yxfPD0CIwxxhhjjDHGGGOMMfYF4UFbxhhjjDHGGGOMMcYY+4Lw9AiMMca+HpqawK5d//3NGGOMMcZYacL5LGPs/3jQljHG2NdDTQ1o27ake8EYY4wxxtiH4XyWMfZ/PD0CY4wxxhhjjDHGGGOMfUF40JYxxtjXIysLCA/PvWVllXRvWB7h4eEwMjIq6W4wxhhjjH25OJ8t9SQSCbZv3/5Rx/Dz84O3t3ex9OdT4Lz+8+BBW8YYY1+PzEygX7/cW2ZmSfemxCUmJuLHH3+EtbU1NDU1YW5uDg8PD8TExAh1iiOp/FJMnjwZtWvXVnq/z5l0KtNWdHQ06tatC01NTTg4OGD16tWF7rNx40bUrl0bOjo6sLGxwezZs0Xbt27dCnd3d5iamsLAwAAuLi7Yv3//h5wKY4wxxj4FzmcLVZQclwHNmjXD8OHDS7ob7CPwnLaMMcbYV6pz587IzMzEqlWrYGdnh2fPniEqKgpJSUkl3TVWiLi4OLRt2xaDBg1CREQEDh06hICAAFhaWsLT01PhPnv37kWvXr2wcOFCtGrVCrGxsRg4cCC0tbURGBgIADh27Bjc3d0xY8YMGBkZISwsDF5eXjhz5gzq1KnzOU+RMcYYY+yDcI7LvhV8pS1jjDH2FXr9+jWOHz+OWbNmoXnz5rCxsYGTkxPGjx+P9u3bAwBsbW0BAB07doREIhHuA8COHTtQt25daGlpwc7ODiEhIcjOzha2z5s3DzVq1ICuri6srKwwePBgpKamivoQHh4Oa2tr6OjooGPHjqJEOj4+Hpqamjh//rxon9DQUNjY2EAqlSo8r+joaDg5OUFXVxdGRkZo1KgRHjx4gPDwcISEhODKlSuQSCSQSCQIDw8vtK/R0dHo168fkpOThf0mT54MAMjIyMCoUaNgaWkJXV1dNGzYENHR0QXG/UPbymvZsmWoWLEi5s6di2rVqiEwMBCdOnVCaGhovm2vWbMG3t7eGDRoEOzs7NC2bVuMHz8es2bNAhEJ8R0zZgwaNGgABwcHzJgxAw4ODvj777/zPa7s6uBdu3ahSpUq0NHRgY+PD9LS0rBq1SrY2trC2NgYQUFByMnJEfZbsmQJHBwcoKWlhXLlysHHx6fA2DHGGGOs9Hr1Crh1K/ffT6koOS5QeK76ofmNra0tpk6dih49ekBPTw+2trZYvHhxgX3+999/0bVrVxgZGcHExAQdOnRAfHy8sD0nJwc//fQTjIyMUKZMGYwZM0bI3fKTlJSEHj16wNLSEjo6OqhRowbWrVsnbPfz88PRo0exYMECIe98v833FSXnLSivl5k2bRrMzMygr6+PAQMGYNy4cXK/gvvrr79QvXp1aGlpoWrVqliyZImwLTMzE4GBgbCwsICWlhZsbGwwc+bMAuPwteNBW8YYY+xjvH2b/y09veh1370rvK4S9PT0oKenh+3btyMjI0NhnXPnzgEAwsLCkJCQINw/fvw4+vbti2HDhuHmzZtYvnw5wsPDMX36dGFfFRUV/P7777hx4wZWrVqFw4cPY8yYMcL2M2fOoH///ggMDMTly5fRvHlzTJs2Tdhua2uLFi1aICwsTNSnsLAw+Pn5QUVFPkXJzs6Gt7c33NzccPXqVZw6dQo//PADJBIJunXrhpEjR8LR0REJCQlISEhAt27dCu2rq6srQkNDYWBgIOw3atQoAEBgYCBOnTqF9evX4+rVq+jSpQs8PT1x586dfOP+oW3lderUKbRs2VJU1qpVK5w6dSrftjMyMqClpSUq09bWxqNHj/DgwQOF+0ilUqSkpMDExCTf4wJAWloafv/9d6xfvx779u1DdHQ0OnbsiD179mDPnj1Ys2YNli9fjs2bNwMAzp8/j6CgIEyZMgW3bt3Cvn370LRp0wLbYIwxxljpFBMDBAQAgYG5/37KWQqKkuMCheeqgPL5jczs2bNRq1YtXLx4EaNHj8bw4cNx8OBBhf3IysqCh4cH9PX1cfz4ccTExEBPTw+enp7I/P/0F3PnzkV4eDj++usvnDhxAi9fvsS2bdsKjEN6ejrq1auH3bt34/r16/jhhx/Qp08fnD17FgCwYMECuLi4YODAgULeaWVlpfBYheW8heX1ABAREYHp06dj1qxZuHDhAqytrbF06VK5OiEhIZg2bRpiY2MxY8YMTJw4EatWrQIA/P7779i5cyc2btyIW7duISIiQnRRyTeJviHJyckEgJKTkz9Lezk5OZSQkEA5OTmfpb3SjuOlHI6X8jhmyimV8UpNJQJyb6mpxXbYd+/e0c2bN+ndu3fyG2XtKbq1aSOuq6OTf103N3HdsmXl6yhp8+bNZGxsTFpaWuTq6krjx4+nK1eu5Ok+aNu2baKyFi1a0IwZM0Rla9asIQsLi3zb2rRpE5UpU0a436NHD2qT5/y7detGhoaGREQklUopIiKCjI2NKT09nYiILly4QBKJhOLi4hS2kZSURAAoOjpa4fbg4GCqVatWvn3Mr69hYWFCv2QePHhAqqqq9PjxY1F5ixYtaPz48YW2oUxbijg4OIgeA6lUSjt27CAAlJaWpnCf5cuXk46ODh06dIhycnLo1q1bVLVqVQJAJ0+eVLjPrFmzyNjYmJ49e5ZvX8LCwggA3b17VygLCAggHR0dSklJEco8PDwoICCAiIi2bNlCBgYG9ObNm0LPVZGCXnOfO5/70pTE+ZfK94MSxPFSDsdLORwv5ZTKeH2ifDYvRe+1UqmUMjMzSSqVFvk4L18SdelC1Lw5Ue/euf926ZJb/qkUJcfNS1FOpmx+Q0RkY2NDnp6eRPRfvLp160atW7cW6ryfX69Zs4aqVKkiimlGRgZpa2vT/v37iYjIwsKCfvvtN2F7VlYWVahQgTp06KBEVIjatm1LI0eOFO67ubnRsGHDCtynKDlvYXk9EVHDhg1pyJAhojqNGjUS5eb29va0evVqUSymTp1KLi4uREQ0dOhQ+v7775V6/n3JiiOf5SttGWOMsa9U586d8eTJE+zcuROenp7CwlayaQPyc+XKFUyZMkW4kkFPT0/4lj4tLQ0AcOjQIbRo0QKWlpbQ19dHnz59kJSUJGyPjY1Fw4YNRcd1cXER3e/QoQNUVVWFKwnCw8PRvHlz2Nra4uHDh6L2Z8yYARMTE/j5+cHDwwNeXl5YsGABEhISCo1DYX1V5Nq1a8jJyUHlypVF/Th69Cju3btXrG0Vl4EDByIwMBDt2rWDhoYGnJ2d0b17dwBQeOVyZGQkQkJCsHHjRpiZmRV4bB0dHdjb2wv3y5UrB1tbW+jp6YnKnj9/DgBwd3eHjY0N7Ozs0KdPH0RERHyWGDDGGGPs83r+PHdKBEtLQEcn999Xr4DExE/XZlFy3KLkZMrmNzJ5c1pnZ2fExsYq7OuVK1dw9+5d6OvrC/mkiYkJ0tPTce/ePSQnJyMhIUGUN6upqaF+/foFxiAnJwdTp05FjRo1YGJiAj09Pezfvx8PHz4scL+8ipLzFiWvv3XrFpycnERl799/+/Yt7t27h4CAAFEspk2bJrTj5+eHy5cvo0qVKggKCsKBAweUOpevES9ExhhjjH2M/8+NRUTIzs6GmpoaJBJJ7jZVVXHdPAmfSN5BtXzmnFKWlpYW3N3d4e7ujokTJ2LAgAEIDg6Gn59fvvukpqYiJCQEnTp1Uni8+Ph4tGvXDj/++COmT58OExMTnDhxAv3790dmZiZ0dHSK1DcNDQ306dMHYWFh6NSpEyIjI7FgwQIAQPny5XH58mWhruzn+2FhYQgKCsK+ffuwYcMGTJgwAQcPHoSzs7PCNj60r6mpqVBVVcWFCxegmudxfD+RL462FDE3N8ezZ89EZc+fP4eBgQG0tbUV7iORSDBr1izMmDEDT58+hampKaKiogAAdnZ2orrr16/HgAEDsGnTJrlpGBRRV1eXa0tRmWwuYn19fVy8eBHR0dE4cOAAJk2ahMmTJ+PcuXMwMjIqtD3GGGOMlQ5mZoCxMfD4ce6A7ePHQNmygKnpp223oBy3qDmZsvnNh0hNTUW9evUQEREht830I4I0e/ZsLFiwAKGhocLcvcOHDxemXFCmf8rmvB9CNp/w0qVL4erq+t/nJUBot27duoiLi8PevXtx6NAhdO3aFS1btpSbnuJbwoO2jDHGvh6amsDGjf/9/Tno6ub+SwRkZwNqasB7SYjCusoct5hVr14d27dvF+6rq6uLFlcAchOmW7duoVKlSgqPceHCBUilUsydO1e4gnOjLO7/V61aNZw5c0ZUdvr0abljDRgwADVq1MCSJUuQnZ0tDBSrqanl236dOnVQp04djB8/Hi4uLoiMjISzszM0NDTkzqUofVW0X506dZCTk4Pnz5+jSZMmCvuR14e2pYiLiwv27NkjKjt06JDcVQ2KqKqqwtLSEgCwbt06uLi4iD4UrFu3Dv7+/li/fj3atm1b6PE+lJqaGlq2bImWLVsiODgYRkZGOHz4sMIvAxhjjDH2fyWRz34EY2Ng2DBgwQLg6dPcAdthw3LLP6f3c9yi5GQfI29Oe+bMGVSrVk1h3bp162LDhg0wMzODgYGBwjoWFhY4c+aMMP9/dnY2Lly4gLp16+bbh5iYGHTo0AG9e/cGkLtOwe3bt1G9enWhTlHyzqLkvEXJ66tUqYJz586hb9++QplsvQwg94rl8uXLIy4uDn379hUN2r7PwMAA3bp1Q7du3eDj4wNPT0+8fPmy0PUXvlY8aMsYY+zroaYGdOlS0r34IiQlJaFLly7w9/dHzZo1oa+vj/Pnz+O3335Dhw4dhHq2traIiopCo0aNoKmpCWNjY0yaNAnt2rWDtbU1fHx8oKKigitXruD69euYNm0aKlWqhKysLCxcuBBeXl6IiYnBsmXLRO0HBQWhUaNGmDNnDjp06ID9+/dj3759cv2sVq0anJ2dMXbsWPj7++d7FSkAxMXFYcWKFWjfvj3Kly+PW7du4c6dO0JyaGtri7i4OFy+fBkVKlSAvr5+kfpqa2uL1NRUREVFoVatWtDR0UHlypXRq1cv9O3bF3PnzkWdOnWQmJiIqKgo1KxZU+Fg54e2pegK3EGDBmHRokUYM2YM/P39ERUVhc2bN2PXrl1CnUWLFmHbtm3C1bQvXrzA5s2b0axZM6SnpyMsLAybNm3C0aNHhX0iIyPh6+uLBQsWoGHDhnj69CmA3AXLDA0N8429snbt2oX79++jadOmMDY2xp49eyCVSlGlSpVia4Mxxhj7KpXCfLZRI6B69dwpEUxNP+2AbVFy3KLkZB8jJiZGaG///v3YtGkTdu/erbBur169MHv2bHTo0AFTpkxBhQoV8ODBA2zduhVjxoxBhQoVMGzYMPz6669wcHBA1apVMW/ePLx+/brAPjg4OGDz5s04efIkjI2NMW/ePDx79kw0aGtra4szZ84gPj5emJYh75RZRcl5i5LXDx06FAMHDkT9+vXh6uqKDRs24OrVq6Jfe02ePBnDhg2DsbExWrdujYyMDJw/fx6vXr3CTz/9hHnz5sHCwgJ16tSBiooKNm3aBHNz82/7V1qfaL7dLxIvRPZl43gph+OlPI6Zcjhe/ylwIbL/+5CFGz6l9PR0GjduHNWtW5cMDQ1JR0eHqlSpQhMmTBAtZLVz506qVKkSqampkY2NjVC+b98+cnV1JW1tbTIwMCAnJydasWKFsH3evHlkYWFB2tra5OHhQatXryYA9OrVK6HOypUrqUKFCqStrU1eXl40Z84c0UJksnitXLmSANDZs2cLPKenT5+St7c3WVhYkIaGBtnY2NCkSZOE52h6ejp17tyZjIyMCACFhYUVua+DBg2iMmXKEAAKDg4mIqLMzEyaNGkS2drakrq6OllYWFDHjh3p6tWr+fbxQ9tS5MiRI1S7dm3S0NAgOzs7+vPPP0XPr+DgYNFjlpiYSM7OzqSrq0s6OjrUokULOn36tOiYbm5uBEDu5uvrm28/FC2epmjRN19fX2HBjOPHj5ObmxsZGxuTtrY21axZkzZs2JBvG3nxQmT544XIvnwcL+VwvJTD8VIOxyt/xbUQ2edW1By3sJzsQ/IbotyFyEJCQqhLly6ko6ND5ubmFBoaKtoHeRb6TUhIoL59+1LZsmVJU1OT7OzsaODAgcJ7eVZWFg0bNowMDAzIyMiIfvrpJ+rbt2+BC5ElJSVRhw4dSE9Pj8zMzGjChAly+9y6dYucnZ1JW1ubAOS72G9Rct6C8nqZKVOmUNmyZUlPT4/8/f0pKCiInJ2dhe1SqZRWrVol5LfGxsbUtGlT2rp1KxERrVixgmrXrk26urpkYGBALVq0oIsXL+Ybgy9dceSzEiKizzxOXGLevHkDQ0NDJCcn53tZenGSSqV4/vw5zMzMFC4AwsQ4XsrheCmPY6acUhmv7Gzg/4taoWPH3CsVikF6ejri4uJQsWJFaGlpKaxDiua0Zfl6P17Tpk3Dpk2bcPXq1ZLu1hfrW3t+FfSa+9z53JemJM6/VL4flCCOl3I4XsrheCmnVMbrE+WzeSl6r/3W8o0PYWtri+HDh2P48OEcr0K4u7vD3Nwca9asAfDtPb+KI5/l6REYY4x9PTIygK5dc/9OTf1kSS4rHqmpqXj06BEWLVqEadOmlXR3GGOMMcZKHuezrBRKS0vDsmXL4OHhAVVVVaxbtw6HDh3CwYMHS7prpVop+aqJMcYYY1+bYcOGoX79+mjWrBn8/f1LujuMMcYYY4yxDyCRSLBnzx40bdoU9erVw99//40tW7agZcuWJd21Uo2/smGMMcZYiVi5ciVWrVr1Tfw8ijHGGGOMlX7x8fEl3YUvkra2Ng4dOlTS3fjqlJorbW1tbSGRSORuQ4YMKemuMcYYY4wxViSc0zLGGGOMsaIoNVfanjt3Djk5OcL969evw93dHV26dCnBXjHGGPuWfENrdzJWor7m1xrntIwxxhhjrChKzaCtqamp6P6vv/4Ke3t7uLm5lVCPGGOMfSvU1dUB5E6wr62tXcK9Yezrl5aWBuC/197XhHNaxhhjjDFWFKVm0PZ9mZmZWLt2LX766SeeB48xxtgnp6qqCiMjIzx//hwAoKOjI/f+Q0TIzs6GmpoavzcVAcdLOd9KvIgIaWlpeP78OYyMjKCqqlrSXfqkOKdljDHGGGP5KZWDttu3b8fr16/h5+dXYL2MjAxkZGQI99+8eQMAkEqlkEqln7KLQjtE9Fna+hpwvJTD8VIex0w5pTJeamrAypX//V2MfTczMwMR4dmzZ/nWkUqlUFEpNdPFlziOl3K+pXgZGRnBzMxM4f8/per/pEIUJact6XxW1lapez8oQRwv5XC8lMPxUk6pjNcnzGffJ4uN7CYj+/trnqqoOHG8lPMtxUv22lKUsxX1/6RSOWi7cuVKtG7dGuXLly+w3syZMxESEiJXnpiYiPT09E/VPYFUKkVycjKI6Jv5kPUxOF7K4Xgpj2OmnFIbrzZtcv999arYD62iogIjIyPRfJQyRISUlBTo6enxFXNFwPFSzrcUL1VVVaioqCAxMVHh9pSUlM/co0+nKDltSeezQCl+PyghHC/lcLyUw/FSTqmN1yfMZ2WysrIglUqRnZ2N7OxsALn5hizP/drzjeLA8VLOtxav7OxsSKVSJCUlyU35VdR8ttQN2j548ACHDh3C1q1bC607fvx4/PTTT8L9N2/ewMrKCqampjAwMPiU3QSQ+wYhkUhgampaut4gSgjHSzkcL+VxzJTD8VKOVCpFYmIix6uIOF7K4Xj9R0tLq6S7UCyKmtOWdD4L8PuBsjheyuF4KYfjpRyOV/7S09ORkpICNTU1qKmJh4a+xjnlP6WIiAiMGDECrz7hIPvX5Ft5fqmpqUFFRQVlypSRy1+Lms+WukHbsLAwmJmZoW3btoXW1dTUhKamply5iorKZ/sPWyKRfNb2SjuOl3I4XsrjmCmn1MUrOxvYvz/3bw+P3J+UfUalLl4ljOOlHI5Xrq/l/Iua034J+SzAzz9lcbyUw/FSDsdLOaUuXp8pn1VRUYFEIhFuQO6VkLK/v+QrIRMTEzFp0iTs3r0bz549g7GxMWrVqoVJkyahUaNGAHL7v23bNnh7e3+yfrwfL1mbn8LkyZOxfft2XL58Wan9wsPDMXz4cLx+/fqT9EvZtmTxio6OxsiRI3Hjxg1YWVlhwoQJhU5/unHjRsyYMQO3b9+GqakpAgMDMXr0aGH71q1bsXTpUly+fBkZGRlwdHTE5MmT4eHhUUxnqDzZa0vR/z9F/f+oVA3aSqVShIWFwdfXV+6bIMYYYwwZGUC7drl/p6Z+9kFbxhgrCs5pGWOM5Yvz2UJ17twZmZmZWLVqFezs7PDs2TNERUUhKSmppLvGChEXF4d27dph0KBBiIiIQFRUFAYMGAALC4t8B1j37t2LXr16YeHChWjVqhViY2MxcOBAaGtrIzAwEABw7NgxuLu7Y8aMGTAyMkJYWBi8vLxw5swZ1KlT53OeYrEqJV815Tp06BAePnwIf3//ku4KY4wxxhhjH4RzWsYYY+zDvH79GsePH8esWbPQvHlz2NjYwMnJCePHj0f79u0BALa2tgCAjh07QiKRCPcBYMeOHahbty60tLRgZ2eHkJAQYU5fAJg3bx5q1KgBXV1dWFlZYfDgwUhNTRX1ITw8HNbW1tDV1YWPj49osDg+Ph4qKio4f/68aJ/Q0FDY2NjkuwBVdHQ0nJycoKurCyMjIzRq1AgPHjxAeHg4QkJCcOXKFeHKzfDw8EL7Gh0djX79+iE5OVnYb/LkyQByFzkdNWoULC0toauri4YNGyI6OrrAuH9oW3mtWLECFStWxNy5c1GtWjUEBgbCx8cH8+fPz7ftNWvWwNvbG4MGDYKdnR3atm2L8ePHY9asWcKCZqGhoRgzZgwaNGgABwcHzJgxAw4ODvj777/zPW54eDiMjIywa9cuVKlSBTo6OvDx8UFaWhpWrVoFW1tbGBsbIygoSLSmyZIlS+Dg4AAtLS2UK1cOPj4+BcbuY5Sqr2xatWr1TawwxxhjjDHGvl6c0zLGGPuivX0L5PdTf1VV4P35ON++zf84KiqAtnbBdXV1leqanp4e9PT0sH37djg7OyucQujcuXMwMzNDWFgYPD09oaqqCgA4fvw4+vbti99//x1NmjTBvXv38MMPPwAAgoOD/99lFfz++++oWLEi7t+/j8GDB2PMmDFYsmQJAODMmTPo378/Zs6ciQ4dOmDPnj2YMmWK0LatrS1atmyJsLAw1K9fXygPCwuDn5+fwp/FZ2dnw9vbGwMHDsS6deuQmZmJs2fPQiKRoFu3brh+/Tr27duHQ4cOAQAMDQ0L7aurqytCQ0MxadIk3Lp1S4gdAAQGBuLmzZtYv349ypcvj23btsHT0xPXrl2Dg4ODwrh/aFt5nTlzBi1atBCVeXh4YPjw4QrrA7mDzDo6OqIybW1tPHr0CA8ePBANystIpVKkpKTAxMQk3+MCQFpaGn7//XesX78eKSkp6NSpEzp27AgjIyPs2bMH9+/fR+fOndGoUSN069YN58+fR1BQENasWQNXV1e8fPkSx48fL7CNj0LfkOTkZAJAycnJn6W9nJwcSkhIoJycnM/SXmnH8VIOx0t5HDPllMp4paYSAbm31NTP2nSpjFcJ4ngph+P1n8+dz31pSuL8+fmnHI6XcjheyuF4KadUxusz5bPv3r2jmzdv0rt374QyqVRKmZmZ/7Wv6NamjfhAOjr513VzE9ctW1a+zgfYvHkzGRsbk5aWFrm6utL48ePpypUrojoAaNu2baKyFi1a0IwZM0Rla9asIQsLi3zb2rRpE5UpU0a436NHD2rz/xjI4tWtWzcyNDQU6mzYsIGMjY0pPT2diIguXLhAEomE4uLiFLaRlJREACg6Olrh9uDgYKpVq1a+fcyvr2FhYaJ+ERE9ePCAVFVV6fHjx6LyFi1a0Pjx4wttQ5m28pJKpVSpUiWaPn26qHz37t0EgNLS0hTut3z5ctLR0aFDhw5RTk4O3bp1i6pWrUoA6OTJkwr3mTVrFhkbG9OzZ8/y7U9YWBgBoLt37wplAQEBpKOjQykpKUKZh4cHBQQEEBHRli1byMDAgN68eVPguRIpfo3JFDWfK1XTIzDGGGOMMcYYY4yxb1fnzp3x5MkT7Ny5E56enoiOjkbdunWFaQPyc+XKFUyZMkW4WldPTw8DBw5EQkIC0tLSAOROYdSiRQtYWlpCX18fffr0QVJSkrA9NjYWDRs2FB3X2dlZdN/b2xuqqqrYtm0bgNyf4Tdv3hy2trZ4+PChqP0ZM2bAxMQEfn5+8PDwgJeXFxYsWICEhIRC41BYXxW5du0acnJyULlyZVE/jh49inv37hVrW8Vl4MCBCAwMRLt27aChoQFnZ2d0794dgOIFvSIjIxESEoKNGzfCzMyswGPr6OjA3t5euF+uXDnY2tqKrhQuV64cnj9/DgBwd3eHjY0N7Ozs0KdPH0RERHzSGPCgLWOMMcYYY4wxxhgDAFBKSu4iaIpuW7aIKz9/nn/dvXvFdePj5et8IC0tLbi7u2PixIk4efIk/Pz8hCkO8pOamoqQkBBcvnxZuF27dg137tyBlpYW4uPj0a5dO9SsWRNbtmzBhQsXsHjxYgBAZmZmkfumoaGBvn37IiwsDJmZmYiMjBTmsS9fvryo/UGDBgHInT7h1KlTcHV1xYYNG1C5cmWcPn063zY+tK+pqalQVVXFhQsXRP2IjY3FggULirUtRczNzfHs2TNR2bNnz2BgYADt96fSeI9EIsGsWbOQmpqKBw8e4OnTp3BycgIA2NnZiequX78eAwYMwMaNG9GyZctC+6Ouri7XlqIy2VzE+vr6uHjxItatWwcLCwtMmjQJtWrVwuvXrwt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},
"metadata": {}
},
{
"output_type": "stream",
"name": "stdout",
"text": [
"RMSE between the two (sampled): 0.1168 V\n"
]
}
]
},
{
"cell_type": "code",
"source": [
"\n",
"import numpy as np\n",
"from scipy.optimize import curve_fit\n",
"\n",
"def calculate_scaling_factors(R_orig=0.01, L_orig=1e-6, C_orig=1e-7, f=50e3, epsilon=0.01, L_mod=0.001):\n",
" \"\"\"\n",
" Compute scaling factors for a modified RLC circuit that approximates the edge-sampled response.\n",
"\n",
" Parameters:\n",
" - R_orig, L_orig, C_orig: Original circuit values\n",
" - f: Square wave frequency (Hz)\n",
" - epsilon: Tolerance for t_ss\n",
" - L_mod: Chosen modified inductance (arbitrary, default 0.001 H)\n",
"\n",
" Returns:\n",
" - Dictionary with fitted params, modified components, and scaling factors\n",
" \"\"\"\n",
" # Derived original parameters\n",
" alpha_orig = R_orig / (2 * L_orig)\n",
" omega_0_orig = 1 / np.sqrt(L_orig * C_orig)\n",
" omega_d_orig = np.sqrt(omega_0_orig**2 - alpha_orig**2)\n",
" Delta = 1 / (2 * f) # Time between edges (s)\n",
" t_ss = -np.log(epsilon) / alpha_orig\n",
" t_end = 1.5 * t_ss\n",
" t_m = np.arange(0, t_end + Delta / 2, Delta) # Time array (s)\n",
" M = len(t_m)\n",
"\n",
" # Vectorized unit step response\n",
" def h(t, alpha, omega_d):\n",
" t = np.asarray(t)\n",
" result = np.zeros_like(t)\n",
" mask = t > 0\n",
" exp_term = np.exp(-alpha * t[mask])\n",
" cos_term = np.cos(omega_d * t[mask])\n",
" sin_term = np.sin(omega_d * t[mask])\n",
" result[mask] = 1 - exp_term * (cos_term + (alpha / omega_d) * sin_term)\n",
" return result\n",
"\n",
" # Compute vc_m (analytical discrete response)\n",
" vc_m = np.zeros(M)\n",
" for m in range(M):\n",
" sum_val = 0.0\n",
" for k in range(m):\n",
" sum_val += (-1)**k * h((m - k) * Delta, alpha_orig, omega_d_orig)\n",
" vc_m[m] = 5 * sum_val\n",
"\n",
" # Fitting function (DC step response)\n",
" def dc_step_response(t, V, alpha, omega_d):\n",
" return V * h(t, alpha, omega_d)\n",
"\n",
" # Initial guess: V ≈ mean voltage (2.5), alpha ≈ original, omega_d ≈ aliased\n",
" f_s = 2 * f\n",
" f_d_orig = omega_d_orig / (2 * np.pi)\n",
" frac = f_d_orig / f_s - np.floor(f_d_orig / f_s)\n",
" f_alias_guess = frac * f_s\n",
" omega_d_guess = 2 * np.pi * f_alias_guess\n",
" p0 = [2.5, alpha_orig, omega_d_guess]\n",
"\n",
" # Bounds (V > 0, alpha > 0, omega_d > 0)\n",
" bounds = ([0, 0, 0], [np.inf, np.inf, np.inf])\n",
"\n",
" # Perform curve fit\n",
" popt, pcov = curve_fit(dc_step_response, t_m, vc_m, p0=p0, bounds=bounds)\n",
" V_fit, alpha_fit, omega_d_fit = popt\n",
"\n",
" # Compute modified components\n",
" R_mod = 2 * alpha_fit * L_mod\n",
" omega_0_fit = np.sqrt(alpha_fit**2 + omega_d_fit**2)\n",
" C_mod = 1 / (L_mod * omega_0_fit**2)\n",
"\n",
" # Scaling factors\n",
" S_R = R_mod / R_orig\n",
" S_L = L_mod / L_orig\n",
" S_C = C_mod / C_orig\n",
"\n",
" # RMSE for fit quality\n",
" vc_fit = dc_step_response(t_m, *popt)\n",
" rmse = np.sqrt(np.mean((vc_m - vc_fit)**2))\n",
"\n",
" return {\n",
" 'V_fit': V_fit,\n",
" 'alpha_fit': alpha_fit,\n",
" 'omega_d_fit': omega_d_fit,\n",
" 'R_mod': R_mod,\n",
" 'L_mod': L_mod,\n",
" 'C_mod': C_mod,\n",
" 'S_R': S_R,\n",
" 'S_L': S_L,\n",
" 'S_C': S_C,\n",
" 'rmse': rmse\n",
" }\n",
"\n",
"# Example usage\n",
"result = calculate_scaling_factors()\n",
"print(result)"
],
"metadata": {
"id": "U6fEBRWBjx_U",
"outputId": "bc3ad45d-f6fa-4537-ede6-20877c89bcee",
"colab": {
"base_uri": "https://localhost:8080/"
}
},
"execution_count": 1,
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"{'V_fit': np.float64(2.512891493337199), 'alpha_fit': np.float64(5187.278008500728), 'omega_d_fit': np.float64(22510.875362162897), 'R_mod': np.float64(10.374556017001456), 'L_mod': 0.001, 'C_mod': np.float64(1.8738966401424924e-06), 'S_R': np.float64(1037.4556017001455), 'S_L': 1000.0000000000001, 'S_C': np.float64(18.738966401424925), 'rmse': np.float64(0.12028868751377471)}\n"
]
}
]
}
]
}
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