Files
jupyter-collection/scientific-computing-2/auto_examples_jupyter_2/plot_plot3d.ipynb
2025-10-21 11:20:44 +08:00

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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"# 3D plotting\n",
"\n",
"A simple example of 3D plotting.\n"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false,
"jupyter": {
"outputs_hidden": false
}
},
"outputs": [
{
"data": {
"image/png": 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20exhrKys0NHRwfLyMpcvX8bv9xftosmOaKLRKN3d3cRiMa5evUpZWVlRtgOZRGNFS5aq8tDQECsrKymp/8rKyryKy8XWZttrSJ/hOXLkSMZMysOHDwmHw5SWlmYQz24Ymu1VoslGtvtoJBLhnXfeobq6msXFxRz30XTisfHkYR/1PQgpJTMzM3R0dODz+bh27VrR72bTF+65uTm6u7uprq7m4sWLRb8YrYVrZGSEx48f09bWRn19PaZpoihKRptwb29vSnHZinaKSXpPEjtZsB0OR2oYEpLt5dYxGhgYIBqNZvjwFGuGZ7tzNHsBiqJw4MABgBz30dHRUQzDsN1HnxLso7zHYBgGfX19jI6O0tbWRnNz864UZ6325gcPHjA6OrrlOZytwPKjmZqaSjUWJBKJ1PPZbcKW4nIgEEh1azkcDtxuN5FIZE8UzZ80nE5nqjUY1p/h8fv925b33y8RTTasmxYLiqJQVlZGWVlZyvbach8NBAI8fPgww320urqaysrKfT9wu1dhE80eQigU4tatWxiGUfT0VTasxX9mZmZbczibhTWDA3DhwoUNu9eyFZetBeLBgwdEIhHeffddHA5HKs3m9/ufStF8I+x2mm+9GZ6xsTFM08xopd6s2OX7hWiykc991OoCtNxHgRwTOJt4igObaPYALMOw7u5u6uvrOXHixK6G9DMzM3R3dwPw7LPP7kqROV2u5tixYzx48CDjot3sYmYtEBZBHT58OEe6frP6Y+9XZM/wSClTaSOrxmM5aVr/vF5vzm9gkeN+9JvZiGiyoSgKFRUVqfMqvQtwdnY2x320uroav9+/L4/NXsAH64rcg0gkEty9e5fx8XGqq6s5ffr0rt1RWqmyx48fc+LECXp7e3flwrG+09LSUkquZnBwsCgDm4WK5oFAIG9jQXl5+VO7K31akYEQgtLSUkpLS2lpaUlFhYFAILWIWoZm6TM81u/zfoxoNkI+2+ts91Fr7smKeD7INuFbhU00TxHBYJDbt2/jcDhoaGjY1VbMSCRCV1cXpmmmzMl6e3uLbue8uLhIZ2cnpaWlGU0M2V1j2zExy/ee7KJ5LBYjEAis21iwHxfSnSA9bdTa2oppmqmocHJykvv37+NyuVKLbDwefyKt1MXETokmG/ncRxcXF1lYWEgdM4usLeKxba8LwyaapwDTNBkeHqa/v5/W1laOHDnC4OAghmHsyvampqbo6emhsbExJVljEUyxaglSSh4/fsz9+/c5cuQIhw4dKpia2ck2NoLL5dqwsSB9KHK3Ggv2ciu2oigZi6iu6ywuLjI/Pw/Au+++mzHD4/f7dzy0u9soNtFkIz2SllJimmZKmXp8fJz+/v4c99HS0lKbeFZhE80TRjQapbOzk4WFBS5evEhVVRVCCBRFyejEKgZM0+TevXtMTExw5swZ6uvrU88VS38MkgtVT08PwWCwoAnaTvxvYHvpnEJWzukpJKux4GlO4z9tWE6a5eXljI2Nce3atVSh/OHDh/T09DyRGZ6dYLeJJh1CCFRV3ZL7aHV19Qcymrawt86W9zGklMzOztLR0UFZWVkqfWVhO/4w6yEcDqe6va5du4bX68143rLr3ek2l5eX6ejowOPx5HynbDxtUc10GZjW1taC0/hWmm2njQX7bVGxzgWn05mTjrSGR60ZnnQfnqdZB7PwJIkmG+u5jy4sLNjuo9hE80RgRRZDQ0MpFeTsi0JRlKKlziYnJ+nt7U2pO++GnbOUMpUyOHToEEeOHFn3otnpBbUbF+RWGgu2OhS5l1NnhVCoGSBd3h/IaKWemJhI1cHS7RCe9KL/NIkmG+u5jy4sLOR1H62pqcnbCfh+gU00u4xwOMzt27eJx+M899xzBedIihHRGIZBf38/09PTKXXn9bDddJau6/T19TE3N8eFCxdSDpTroRgSMru9eK/XWNDf308ikUgtqJWVle+7VIg1Q7PRd7JUlhsbGzPqYFbL+XZneHaCvUQ02cjnPpouMWS5j7pcrpQdQk1NzftqMNkmml2Cdcff3d1NTU0NFy9eXLegulOiCYVCdHZ2omnaptWdt7P4W9txOBxcu3YNt9u9qfdlb2urF9DTuOAKNRYEg0EePXoEkFEwz74j3W+LxHaGNfPVwawJ/K3M8OwUe5lospGPeEZHR5mZmUmNIFjuozMzMywvL/PTP/3TO1bu+OIXv8hf//Vfc+/evVSq+/d+7/doa2tb932vv/46r7zyCr29vTQ2NvK5z32Oz3zmM1vatk00uwCrOD4+Ps7JkydpbGzc8ATZCdGMj4/T19fHgQMHOHbs2KYvuK1uc2Jigt7eXg4ePMjRo0e3dGHvh4hmPWy1saDYjR1PAsVQBRBC5Ei/WI0F683w7BT7iWiyYUWRXq+XEydOZLiPvvvuu3zlK1/hM5/5DAcOHODnfu7n+PCHP8wLL7ywJTt1SBLGr/7qr3LlyhV0Xeff/tt/y8svv5waes6Hhw8f8olPfIJPf/rTvPrqq7z11lt89rOfpaamhp//+Z/f/HeU+zGZvIexuLjIrVu3UFWVc+fOFfwBszE1NcXDhw9pb2/f9LZ0Xae/vz9lhGalfDaL1157jWeeeSbV5loIhmFw7949pqamtrUdgDfffJO2trbUe3VdR9f1TS8OIyMjRCIRTp06teVtPwmkNxYEg0GWlpZQVZWGhoZUp9ZebxEOhULcuXOHF154Yde2kT4IaR0nl8uVQTzb6fwbHBzENE2OHz++C3u9+xgeHiYWi3Hy5Mmc5yy79pdffpmVlRVee+01vF4vd+7c2dE2Z2dnqa2t5fXXXy/4m//Wb/0W3/zmN+nv70899pnPfIauri5u3Lix6W3ZEU2RYJomIyMj9PX10dLSwrFjx7bUibPV6GJ5eZnOzk6cTifXr1/fdAprq9sMh8N0dnaiKMqODNd2mjqDvV1gT28sABgaGmJhYSH1/500FjwpPAmds+xBSGuGp5Ck0GYJej9HNJDc/0LngxCCeDzOT/7kT/KJT3wCSF6XO8Xi4iJA3nEECzdu3ODll1/OeOxjH/sYX/3qV0kkEpu+ebKJpgiIx+N0dnYyPz/P+fPnqa6u3lauezNEY+mi3bt3LzXsud0LbKN0ljXouVH3WjG2tZn37yeoqorH40ndYe+HxoKnIahpzfBUVVUB5HT+RSKRDIIuJHRpmuaem+3ZCgzDKLj/lnZdusjuZjMlhSCl5JVXXuH555/nzJkzBV83NTWV6ja0UFdXh67rzM3N0dDQsKnt7d9fZg/AMvK6c+cOXq93S8XxbGwmutB1nd7eXubn5zfd7bUeCpGbaZrcv3+f8fHxnEHPnWwrn6PnTt6/l5G9rzttLHgS2AteNPk6/6zjdP/+fWKxWMYMj6U3tt8jGsMw1pX9iUQiObNwO8G/+Tf/hu7ubt58880NX1tI4WMr54pNNNuE1R0yMDDA0aNHaW1t3bGo33pEs7S0RGdnJx6Ph+vXrxdlgj1fe/PKygqdnZ1IKfMOeu4E1rasdFwsFksNR36QpvL3qmLBXrQIcLlc1NfXp252Cs3wxONxNE3bt4RjGEbB1Fm+iGYn+LVf+zW++c1v8sYbb9Dc3Lzua+vr65mamsp4bGZmJhWJbhY20WwDkUiEO3fuEIlEuHLlyobF9M0gXX8sHekaYocPH+bw4cNFWwyyo4SZmRnu3r2bsiooZg3B2la67prP50v5vff391NSUpIinmyZk/0W0WwF6ykWWEOxlvZYZWXlrjUWSCn3/CJdaIZnZGSEiYkJJicn8fl8qfNov0zfr0c08XgcXdd3TDRSSn7t136Nv/mbv+G1117j0KFDG76nvb2db33rWxmPfe973+Py5ctbOgdtotkCrIWys7OTyspKrl27VrQLPl9Ek0gk6OnpYWFhoaCGWDG2aZomAwMDPHr0iNOnT9PY2FjU7ViYmJhgYWGBM2fOUF1dTSKRoLq6OjWVb4lfPnjwgFgsllHDkFLuK6LZSXSQ3ViQPtyXXrewFtNiNRbsxYhmPaRHhnNzcykFZes8Gh4ezhAQtVqp9+J3XI9orML/Ts0Jf/VXf5X/+l//K3/7t39LWVlZKlKpqKhINfl8/vOfZ3x8nK9//etAssPsj//4j3nllVf49Kc/zY0bN/jqV7/KX/7lX25p2zbRbBKGYdDb28ujR492xfY4m2gsuf2SkhKuX7++K7LtQghisRjvvfceiURi15w2o9EooVAIVVVpb2+npKQEXdczXuNwOFIDbJBMkVjFc2vaXNM0xsbGdlV1eS/iSSkW7DeiSYeVMss3wxMIBJienmZgYCAjJen3+7ddUy021iOaUCiUmrPZCf70T/8UgJdeeinj8T//8z/nl3/5l4GkfJVVMwQ4dOgQ3/nOd/iN3/gNvvzlL9PY2Mgf/dEfbWmGBmyi2RSWl5e5detWqp99NxZjq15imiaPHj3KqP3s1sWv6zqDg4PU19dz6tSpXWm3DQQCqfboI0eObLpbxuPx0NTUlHKMHBoaYm5ujtnZWQYGBlLKuNZd/X7zT9kJNtNYkJ4+2mxjwX4nmuzzN91F89ChQzkpyXv37uF2uzOI52mdR+u1N4fD4aKkADeTEfja176W89iLL76445kdm2jWgSUNkd7iu1uzD1ZuvKOjg+XlZS5fvlyU2k8+SCkZHBxkaWmJxsZGzp49uyvbsKyc29ramJ6e3vaFIoRI5eafeeaZlCR7MBhkdHSU3t5eSktLM+o7e2FG5Uks2ptpLNA0bVNNF/udaDaqL2WnJHVdzzmPtjPDUwxsFNHsl1pTIdhEUwCJRIKurq7U1H1tbe2u/tBLS0sAqW6v3bqzisVidHd3E41GU1bHxUa6lfOzzz5LRUUFs7OzRZOgSfcCgWSx1MrL37t3b0/MqDytetJOGgv2QnvzdrGdbrN0aX9Inkf5amEbzfAUA+sRTbFbm58GbKLJg0AgwO3bt3G73Tuaht8MpJQ8fPiQwcFBAM6cObNrJBMIBOjq6sLv93PhwgV6enqKviBabdjWXFEhK+etYr0F0Ol0pmTspZSp+k4gEMiYUbHuZnfz99xr2EpjwX5qtshGMUgyXegSMmd47t27Rzwep7y8PBUdFtO62TCMgp9lRzTvM5imyeDgIPfu3aOlpYUTJ07sartnPB6nu7ubcDjMs88+yzvvvLMrF7uUkuHhYYaHh2lra6OlpSXl6llMszWrTTmfP82TkqCxiqZer5fm5uacgvCDBw9wuVwZ9Z3dSo/sxYWh0EBkIBBgbm4OXdfp6OjYU4oFm8F6NY7tIn2GR0pJNBpNEc/4+Di6rmfYIWz3WJmmiZSyoDJAOBzelbrwk4RNNKtYWVlJ1UfcbjfV1dW7SjJWdOHz+VJt0sVe+CGXzNL9cIo1m5Lug1NIseBpSdBkF4TT8/KWTXF6q7DP5yvK775fooP0xXRsbIzp6Wlqamp23FjwpLHbg5rpdcL0GR6r+290dBQgg3g2G4VYhocbRTT7GR94opFSMjMzQ0dHR2rRv337dtEX/PTtDQ0N8fDhw4zoAopv5xwMBunq6qKioiLvzE8xrJwjkQidnZ0IIdZNM+4Vm4DsvHz6HX1fX1/qLtVaWJ+EaddegsPhoLm5OaOxIFvify+qOTzp+lJ6E0ZLS0vGsZqfn2doaChDQHS9GR6LaNar0dhEs49hGAZ9fX2Mjo7S1tZGc3MziqIU1VY5HbFYjK6uLqLRKM8991xOIb5YRGN1yw0MDHDs2DEOHjyY9wTfrsOmBUtJoKGhYcM04141PstOj1h3qYFAgIcPH6YG/qxU216Zu9gNZHedpTcWHDx4MCXxHwgEUu3BHo9n1xULNrPfT1t6JvtYmaaZskOwUrZOpzPvDI9Vnyl0jtups32MUCjErVu3MAyDq1evZsg7qKpadKKZm5uju7ubqqoqLl68mDcfWwyisdQEFhcXuXLlyrrmSNuNaKSUDAwMMDo6uiUlgWxS2yp57HY6Kvsu1VosAoEAk5OT3L9/P2Nh9fv96yoG77dIaKP25nwS/1bNYnh4OKXHVWzFgs3st7V/ewWKouDz+fD5fAVneKxzyeVyrUuSoVDIJpr9Bktmv7u7O6Xplb1YFNId2w6sBoPR0dENFQV2SjSWmkBpaemmWqS3E7nF4/FUVJZN0OthP9oEpC8WkLmwpnvMpC+s1oKxX2o06dhq+knTtIKNBU/SCsG6ZvayTtt6MzyWOOi7776b0UptrUuRSGRXxhCeJD5QRGPNd0xOTnL69Gnq6+vznvjFimii0ShdXV0kEolNLcrbJZp04c0jR45w6NChTV3QW41ogsEgnZ2dqfborfh/FMMi+Gkv3tkLq9WFZKWSTNNM1XcSicSeusPeDHY6sJmdhkyXEdrNxgLrHN5PEWR6rbCyspKBgQFaW1sJBoMMDg6ysrLC2NgYt2/f5sGDB1y/fn3H23zjjTf4/d//fW7fvs3k5CR/8zd/w8/+7M8WfP1rr73Ghz/84ZzH+/v7OXHixJa2/YEhmmAwyO3bt3E4HBvK3xcjhTU7O0t3dze1tbWcPHlyU4vydrar6zo9PT0Eg8EtC29utkaz2ZrPeihG48HTJppsuN3uDCmYcDhMIBBgfn6eYDCIEALDMPZc4bwQiqkMkN1mvlFjwU50x/ZDRLMeLNOz9BmeaDTKm2++yfT0NO+99x43btzgnXfe4Sd+4if4yEc+si3iCYfDPPPMM/yLf/EvtqRVdv/+/YyIajtW7u97ojFNk+HhYfr7+1OOlBvdae4koklXQj516hRNTU2bfu927Jw7OjrweDxcu3ZtywvZZqKEdCLbiSxOMSKavQwhBKWlpZSWlnLgwIGUArXL5UpN5FvyJlbhfK85Qu6mBM1WGgusf5ttLLAaAfb6OVII+YY13W43H/3oR/noRz/Kz/7sz/KhD32IxsZGfvSjH/HDH/6Q119/fcvb+fjHP87HP/7xLb+vtrZ23VrvZrC3zvQiIxqN0tnZycLCAhcvXqSqqmpTJ6OiKDnqwpuBZRpmmua2xDe3QjTWcGRraytHjx7d1kW20fZCoRAdHR24XK5tEVk69kp785OE2+3myJEjACkbhGAwyMDAANFoNDVlbtUvnvYd+ZPUOluvsSB9vski5vUaC/azdA6sLz8DyXWltbWVX/7lX+Zf/at/9QT3LIkLFy4QjUY5deoUX/jCF/Km0zbC+5JopJTMzs7S0dFBWVnZlhdJVVWJx+Nb2ub09HRGq+928vObKc7ruk5fXx9zc3M7tnNeb/GfnJykp6eHgwcPcuzYsaLXWJaXl5mfn9+05P9+XkhgfRuEsbExTNPM6GZ7GoORT9P4bDONBenyL+nE/LRbm3eKjYjmabU3NzQ08JWvfIVLly4Ri8X4i7/4Cz7ykY/w2muv8cILL2zps953RGOaJvfu3WNoaIjjx49z4MCBLZ+EW0mdmabJ/fv3GR8f5/Tp0zQ0NGxnt4HNRRidnZ2pOtNOZzrybc86fhMTEzzzzDOphXGnSK/RjI+P09fXR0lJScq2uLKykqqqqnVTJvstolmPKLJtEEKhUI6Vc/pg5JOQr99LDpsbNRZIKVMRkaZp+/pGZDM2zk+DaNra2mhra0v93d7ezuPHj/mDP/iDDzbRhMNhbt++TTwe57nnnsuQW9kKNtv2a03FAylDr51gveL8xMQEvb29HDhwgGPHjhVlQciOMqzUn6UgXUzFWItoent7mZqa4vz585SVlSGlZGFhITUgmS4JY6VM9mP+fSukKIRIGXZZ9YvFxcWUKGhfXx+lpaUZ9Z3d6GjbqzYB6zUWzM3NsbCwAEBvb2+KnPfTYO1mIpqd2jgXC1evXuXVV1/d8vveF0QjpWR8fJzu7m5qamq4ePHijiaUNzNHMzU1leFTU4yFP1+EYRgG9+7dY2pqqqgRBmRGGXNzc3R1dVFXV8fJkyeLvpAZhsHMzExKEdvlchGPx3Mk/y33yEAgQE9PTyql5HQ6MQxjzy6GxUT2zEW6DcL9+/dTNtfp9Z1itQnvh2Ob3VgwMzPD4OAgbrd7x40FTwOWe2whWMZnewEdHR3bytrse6KxuqLGx8c5deoUDQ0NO75Y1kudWQv/5OQkZ8+epa6ubkfbSkd2JLVZHbGdbM80TYaGhhgeHubkyZM0NzcXdRuQFBAdGxvD5XLx3HPPrUvk2e6RoVAoJeMRjUZ5++23UwtsZWXlnl5AioVCNgjp8ynZ9Z3tYD+TuMPhSDVe7KSx4GnAMIx1zeiKlToLhUIpOxKAhw8f0tnZSWVlJQcOHODzn/884+PjfP3rXwfgS1/6Eq2trZw+fZp4PM6rr77KN77xDb7xjW9sedv7mmgWFxe5ffs2iqIUJXVloVCtJBQK0dXVhaIoRU8tZW93NyKmbJimSSgUSqUaiz19nO6yWVVVhaZpW7rA01NKpaWl3Lt3j7a2tgxHxHxptr2C3Vi0C9kgpGtqbdcGYb8STXYzQKHGgmAwSH9/P/F4PBURZjcWPA2slzpbWVnBNM2ipM5u3bqV0TH2yiuvAPBLv/RLfO1rX2NycjJ14wLJSPo3f/M3GR8fx+PxcPr0ab797W/ziU98Ysvb3pdEY5omIyMj9PX10dLSwrFjx4p6h5IvorFqJC0tLRw/fnxXTkwrounv72d8fJwzZ85QX19f9O1AkqQfPHgAJOtLxY4MrEhzYWGBK1euMD8/TygU2vbnCSEQQhRMs/X29mIYRmryvLKy8qlK2j+pxoV0GwTLUbNQzWsj/bH3C9FkYyuNBU/jvFnP9CwSiQAU5Sb6pZdeWve8/NrXvpbx9+c+9zk+97nP7Xi7sA+JJh6P09nZyfz8POfPn6e6urroJ0U60VgKzzMzM0WvkWTDMAympqZSA5i7Yd+aLldTV1fH4uJi0UnG6o5zOp0pzbVAIFD0OZrsNJs1mT83N8fQ0FCqc+uDlGbLV/PKtkFIr++k2yC8X4kmHes1Fljy/pqmZaQid7uxYL2IJhQKoSjKvneF3VdEMzc3x507d1I2wbt1AlgprOXlZbq6unA4HFy/fn1XT7iZmRnGx8dxu92pOkaxYRgGvb29zM3NcfHiRaSULC4uFnUb1jyRFWlaC8BuKwNkT+and249rTTbXli0C9kgBINBRkZGMmwQdF3fU6nHzWInczT55P0LqSzvVmPBekRjNQLshXNpJ9gXRGOaJg8ePGBgYICjR4/S2tq6qxeEoigkEgneeecdDh48yNGjR3dte+mSNVaxdzdIJhwO09HRkTGDMz8/X7QUT7p1wNmzZ3NSfsVQb97K+7M7t9Lv7J9Emm0vzvxsZIOwuLhIKBQiHA4/VX+ZraKYA5sW8fr9fg4fPpxSWc5ORRazsWAjonk/mO/teaKJRCLcuXOHSCTClStXtq21tVnous7AwABSSs6fP78tAbnNIl3dub29nbm5OQKBQNG3Y0UZzc3NGfWlYhmtpVsHFJLeedrqy9l39ukCmNlpNqud+v2ObBuEjo6OFOFuZIOwl7CbygCFHFmL2ViwEdHsRgr9SWPPEo2UkqmpqVT7XT4r4mJjaWkpVVsAUnnu3YBlhFZdXc2lS5fQNI1AIFBUK2crEhwbG8vbWFCMxX9xcZGOjg4qKipob28vOA/wpCOajT5rr6XZ9grKy8tTcxLpNgiWZ0p60XyvpHSepARNvsYC6xhlNxb4/f5NHSPTNO3U2dOAYRh0dnYyMTGRUkDezQOdXiA/dOgQBw8e5Ic//OG63SA72dbg4CAjIyM5cyvFijAgN1rK17Wy0+1Zwp6b8cDZy6Ka+QYkd9rNth8L69kDm4VsECxHzfSi+dO0QXhaWmfpjQXZUkLZjQXWccqu80opN2wG2O/umrAHiWZ5eZlbt26RSCTweDy7MkCYjkQiQW9vL8FgMKXwbC2+hmEUNYqKxWJ0d3ezsrKS1witWM6egUCAzs7OjGgpH7a7+JumSV9fH9PT06ljthH2k8Om0+n8QKbZ1iPH7CjQKppbMv/9/f14vd7UcXmSNgimae6JWlK2lFB6Y8HExAT379/H7XZnePCoqrpuXXYvqQLsBHuGaCxzLWtIsbq6mnv37u3qNi3r45KSkgyFZ0tbq5hprEAgQFdX17rulDuNMNIHJNva2mhpadkwytjq9iw9NGBLagV7OaJZDx+kNNtWorD0ojkkb9isovmTtkHYq+rNm2kssKKVhYUFqqqqcgjHJpoiIpFI0NXVxczMDOfOnaO2tpbFxcWi2CnnQ7pjZKG0T7HsnKWUPHz4kKGhoQ0X/50QjWVTvbS0xLPPPrspQdHNOmxamJ+fp6urK+UautUp/+xtbSVK2b2IRiKEgcMRQ1FMhHAihJraZnKXNSABRIE4ZWVOWlrqgFqkFEipYJoa0WiceHwB0zSpqSnFNEFKHSH2xGW2IXaS7nM4HBnT+Om1i3QbhN0YityrRJONfI0FMzMzDAwMMDAwQG9vLxUVFanGi9LS0qLJz2zVxhng9ddf55VXXqG3t5fGxkY+97nP8ZnPfGZb23/qV0AgEOD27dspsUXrDllV1W2Zj22EeDxOT08PS0tL6zpGFqNeEo/HuXv3LqFQaFOL/3a3aTltWvNFm03lWESz0QKTHintRA8tH6ltZXHbbkQjRAKnM4YQato/kNJAUVxAAiEUQAUEUmpIGUMID4qSezcppYmUSwjhRlFiq6kPJ06nb/V5A78/jKJ4UBQ3hhHBMMJImQAEpikwDDd74PLLQDHrSh6PB4/HQ2NjY0btIn2YNr2+s5P0434hmmxYUkGWpFU6Of/d3/0dv/u7v4vf7+fgwYP09vZy6tSpbf8+W7VxfvjwIZ/4xCf49Kc/zauvvspbb73FZz/7WWpqarZkA23hqZ3ppmkyODjI/fv3OXz4MIcPH87RKyq2Wu/CwgKdnZ0pM7T1Tu6dRjTWtsrLyzfdMbcdorG8XQ4dOsSRI0e2FSWsd4x1Xefu3bssLi5uOlLKh3zR01Z+2619LwNVNdA0E0WRKIoDIUqRUluNUuaAMhTFqi2t3TFKaSDEyOrrJ5GyBiEq0p5PAMsoSuXqI27Wdi0EPEYIDVVtQFGSN02aVoKmJQlL15fQNAkoSLmMaUaREkxTIZHwYJoe4OnJ5uzGgr2eDcLjx493bIOwX4kG1lqbsxsLTp06xeXLl/nc5z7HxMQEV65coaKigo9+9KP8+Z//+ZbrX1u1cf5P/+k/ceDAAb70pS8BcPLkSW7dusUf/MEf7B+ikVJy+/ZtAoFAKqrIl7qC9Vv/trK9kZERBgYGOHbsGK2trRsuXNslmvS03LFjxzh48OCW8t6bJRpLE216enrbTpvWfhW6UC0rZyva3GnRO51opJTE4/EtdSrlj2gMNC2EpoGiaKtpLw0hKvKkrHTg4erjIZIEo2Y8L8QocBAAIapWt7uElBGESAAOhCikP7cEHAI0FAVMM4AQKwjhXN3WAppWB1hqCWVYp7ZphnA4FpFyHikTmKZKPF6CaXp5UsTzpDrlCtkgBIPBbdkgvB+IJhuqqtLe3s7Jkydpa2vj85//PO+88w6dnZ1PpMnixo0bvPzyyxmPfexjH+OrX/0qiURiy80XT4VohBAcOHCAEydOFFy8rIO/kSnQRshOX1nDaRthO9FFIpGgp6eHxcXFddNyO91msewDrIsz3wJuqUdbIqLFlJAxDIO7d+8yNTWF2+2mqqoq1YmzXofcGpI1FU3TVyMWiZQgZRRF0UkSRS7JCDFGkgiSkHIZIYaQshJoQYjHWCSTuW0vSUIaWyWNO8BhwJf2WQGEKM/YrqKUA+VIqSPlLEJIpBxBCB9CVKZeZxiLSCnRtKZUSk9VF1DVOBDENHUSCTe6XopFUruBp9WSnc8GIX02BTJtELKtv9+PRGMhFApRUlKCy+XixRdf5MUXX3wi+zU1NZVjgVJXV4eu68zNzW3Zk+appc6qqqrWjRiszi9d17d9J211evl8vi0PfG41osnuYNvOPm+GaGZmZrh79y4NDQ2cOHFiRxdYeurMgiWJ8/jx46L67VjNAJFIhI6ODlRV5bnnniMSiRAMBlOT6Ovdyfp8DjyeJVTVhxCZ6S6YQlFaVx+JI+UUMIcQ/lUiCSJEZm0p+RnPrKa+XsM0D1DocApxGzi3+pefZHTUCXiR0oom82vhSTmEohxZ/Rzr0UeYZgxFWURVj5FOWsmorApFAcMIIoTA41lGymlME2KxEgyjuJYOsDeMz/LNpiwvLxMIBDJsENKJZz8TzUYZm0gk8tTmaLLPBWud2M45sreqkWkQQuwofTU8PMzw8DDHjx/nwIEDWz44m7VzTh/2tGpN271YLaLJd2eZriV2+vRpGhsbt7WN7O0BKXKzpGRisRhXr14t6gkuhCCRSHDjxg0aGho4fvw4uq7j9XozOpWsQcnR0VEURaGy0s+RI6X4/R6ee+4ZFMVLsgMMpHQAEYSIkxmJOFfTW/XAAkJ0IWUpUEh5+x3gzGq6qxdFMYGzac/fYY1kLGhA6+r/f4QApGxHiGzJoi4U5XSebdYixDBSnkIIExgEIkAZUjYjRBSYRlWPrr7eR7JDbgm3OwRMo+sQi1VRrMt4Lw6ZpoteZtsgWO3lQgimpqZQVXXPmZpthM3YOD+N9ub6+nqmpqYyHpuZmUHTtG0ppuxZooHt1UnShyJ3Yua1mW3ruk5vby+BQIBLly6lcs7bRXoqK/2CT9cSyzfouV2k12gsKRmfz1dwzme7kFKmHDLPnDmTkmfP7ir0eDw0NTWt3skuomkzuFwmiuJBiKN5PvchQpSspsDKyY0oloDHwIlkJGH8GKkcy6qx9CNlayrSUBQrgnubJDF5gXXSBPLHCPEMAEIuIOUDhHAD54EZ4ECBNy4hhI9kKkwB1qItISZWz4EEMLm6H8mCsRAVSOkikZhDURRKSpLSMIlEDaa5s/NiLxJNNrJtEOLxODdv3kzVLBOJREEbhL2IzRDN04ho2tvb+da3vpXx2Pe+9z0uX768reHYp0Y0m/nxt9ribM15VFZW7nix3GhK32optgrlxZDfSI8wrP8Hg8FU+q/YBGBtc3JykuHh4ZQydjEvTMsAbX5+HpfLldEanbsdicMxg9MZX01reRCiEcjX6XYTRXmG5ClciZQxoGP19XVAGBghY6FXLyBkHNPsRlEOA1Gk9BSYczkOGMCPgGv5v5wMAWlNGMKJSBFGJzAKnAJyCUDKmQLkqQMCIZrSHl0GZjBNBSFiCNGC02mRZS2quoimzROJjLO0VI7XW7etu/r9QDTZcDqdCCE4dOgQ5eXlqVRsIBDIsUGw6jt7CevJXFmqFMW4sdyqjfNnPvMZ/viP/5hXXnmFT3/609y4cYOvfvWr/OVf/uW2tr+nIxqrxXkjpOuHnThxgubm5h1fMOulziyNr9bWVo4ePVq0izOdaHbSvbZZWO3jIyMjm5aS2QqseoymaZw5c2ZdpQdVXcTlWkZRJMkUUQQpjyFlCCEGgQRSCqAUIcaBSxnvF8IFnF1tT75NsqvsmdwNCSeKOIyUi5hGJ6r2XMF9kmY3QjmONB9D7CbC/TEQ6Qv4WyAuF3j3HHB69XNuIRMhBNUI1xmIv4VwXs/7LmG+A+pLWY+WIqV39XufIhnlTADlJImmAqjA643hcIyyvNzBwICC11u9JfHL/Ug0sHZjlm6DkG5zbdkg5JOAedrSNRtFNJFIpCips63aOB86dIjvfOc7/MZv/AZf/vKXaWxs5I/+6I+21doMe5xoNpO+ssQj4/F4UdNK+SKadLfN7bYUrweLaOLxOH19fQSDwW11r20GKysrdHR0AHDu3Lmik8zc3BxdXV2ppoXFxcUC7clRPJ5FVFVbLdzHV4vhTavpLB9WoVzKIIoyRrIY3wOcyfN5MXQ9gqpUIeQNUNvz7+Dym6jlR0H/Nqgvg8hccKQMg6mBAkLxgOcIxL4PogmcZyHxCKmdK9h4rEedaKuZPKH4Ea7kbyhjryHEHMS/C8oR0I6tvcm4lYdkVj+Dt0BYC0Xj6j+AeUxzDkVZQFFqcbkacTprqKwcIxic4L33BpHSmeE0WqhRZbfmaHYbhZoB0m2uDx06lFcCpry8PMNb5kl//yeVOtuqjTPAiy++yJ07d3a8bdjnqbPZ2Vm6u7upqalZVzxyO8gmOcueeDfdNq1jcvv27ZSd824o4s7Pz9PZ2Ul9fT0rKytFFYVMl9yxlLchvwSN0zmBy+VGiDKkXME0J0jOmzSSfXpI+Wi1I2xtYZZGHwIN1OOrD0TBeB1NO7X691EwvgfKRzIiERl6D1HWmvxDOwPG6yCeASWtkL/wFsLflrkTrkMgdVj5a5BuhKNANLTQgeY7mfcpkZiE0mfXHjBvgzEBZhxTbUIxB0AcBJH2m8g300gmE6YZRIhWwEUyVfgYaEBRDlFZWc/LL4+xsGDw6JErYzgyXZvNEnbc7xHNRsgnAZOu0q3reoZK95OQ519PuNdKndnqzbuMQhFNuitl+mJWTCiKQjweB2BiYoLe3l4OHDiQYU9cbExOTgLJ1u/Tp08X/SRPJwFLSmZ2drZo4qFWPWZhYSFHRSCTaBbRtJHV4ziHlHUIMY0Ql0kV9OU08AhJHBmNI9wXyC72C/V4cuHXXwPlONLsQlgkAyAUUC+tNgE8gxB+0IMILQoirUlEPQbmKFKfTb5/5RGiPHeeJvmZGqguUJeQK98D90/k1ni0AsRtLIPnROZjii/5L96JorWsfvdRMGdABkGGMZXDKNwCmkCkNSbI11HE9eQ+AVYXnBCLSDkGeBHiEH7/MuXl46ysnCYe11I1DKt47vP5dt1QcLdgnbvbuSZdLldBG4SHDx+iqmpGfWc3bi4Nwyj4uZFIBCll0bI0TxN7mmjy1WhWVlbo6upC1/WCbo7FgEVyvb29TE1N8cwzz1BbW6g9dmcwTZN79+4xMTGBqqrbasfeCIWkZIplKGY5oTqdzoJzRMlBxLdQVRdCHEl7ZhB4PvPFog4pqyB+E8XTDrEOpPAhnIeyXqeBegGp/wD0yvxntHoW4lOgz0CiDypO5b5GqQEZg/kfgoiDJ89rrO9hjCOcTQgPsPj3SFGHKF+NUhY6oEA0w0p/ZjRjwZgDx/m07+QE0QyyDmRktXHB2vgYMIkppxCiHMEAyGNpZMNqK7eDpDzOA6QsRdNqKCnpR9NKcTrbUsORkUgkZYEA8N5776UGaHeqQfYksBOiSUchG4RgMMj4+Dj37t3D4/Fk1HeKkUHZyPQMsNWbd4LNps7SicYaVqyrq9uyevBWYU3AWgOYu9WtYsnuSym5du0aN2/eLKo9AawvJVMMOwQrhdnY2EhbW1vei17T5nnxxRlU9SRCHAIiqxItQYSoRcpxoGZ18j45aY8+inCtFv1dF8CMYS68iyg7g1BX7W3NWaTsRjjOgAjDcg+U5dZuhLMWwn8HWmFbXKG6wLEM8RGQbVmF/yRkbA6caUOsFTUITOTSN5LkWSiaMaPgPpL/qdgSijdXqNRcGUfxZjY9IEpBJlDEy2v7J5dADiJlCEw3QikBxUr7+RFiEbiHEHW43REM4x9ZWbmCEKWp4nlDQwNvvPEGJ06cYGlpad00215CsYgmG9kS/+k2CNZwcXp9p7y8fFv7sJGNs6ZpT81QrpjY0xGNRTSmaXL//n3GxsaKNqy4HqamphgZGcHpdPLcc8/tWqrMKpinE+dmB0U3i6mpKe7evcvBgwc5duxYDsFv1SogHYXqMdlQ1Xfw+eaQ8iDJifrRVbFKB0L8JLA6MS8TIB8iuY+Ml6A4szrLFBfC9yysjCGjvVDeDAwh1NbkC7QS8DbDUgeUX8jc18gDRHkZSBNC/VBaIOqQj6C6EQJ/CxU/BWomMYm5O9B0OOdtorwJFu8CcQg+gPIXM95rRkZQSk/kvI/IPEp2lAYQW0TRcrcj4wtAK8KZtjiJcuAigneR6hWQj8F4G5QTICpJtoc/hxCPkVJHVY/i9XYQjbZimsl0nXUO+P1+ampqOHLkSEqDLDvN9iRrGBvB2u/dLuKvZ4MwPj6+bRuE9dqbLfmZ/digkY09TTSaphEOh7l582bqjn83w0iL0MbHx2lubmZ5eXlXfuR05YLdsnNOl5I5d+5cQSmZ7abONqfqHMPh+B5gIMSJlFpycuYllhp0XNsZB8hx4DqKywPx3iT5uLIiFE8zIj6GDL4FVVmfobqh9CjmUh9K+Wr6K7YIiQHwrnbWuULIyBgiK4qQ0+8h6lbnUyqbYOkHSPcLCEv+P7qMqCk8vCnNCMKf/EyZ+BHmgoGiHIfyYyimL/97liYQ9bkELZfGEDV5CC30GCpzO+nMRD9Cu4wQDhCHgcOrzRG3MaUfoR4AqYHQgUGEMPB4xojFFtD1s3nlRbI1yKw0m9W1lS6O6ff7n8qdt2EYq4OsT5bwCtkgpLuwptd3Ch2bjSKa90PaDPZ46iwcDjM7O0tLSwttbW27GrZbKSzTNGlvbycUCrGwsFD07Vgin+FwOK9ywU4iDAuxWCzV8t3e3r7uybodYguHw3R0dKxbj4EwDsc/ACZCnCKlhGzMQXQBHEeQ6iIopQihJgcV5Q2E0r7WMuxMzqGY4R4UpRQ8zWAmIPB3yKrTSbmX0dvIAxdI+slYX8qBKD0Ij9+Blqsw911EU1px31GKiE1D0AD/6uOmjtBmyBjALK9DzN8ATkDVIcTjd+FYgSaB6DKUr5GQcHhQqwAmoO8NpL8WsQC4aqH0MJQ0QDgA1dnSNsDiGFRlDYkmFpHB++A7h0gEkzUZ4UAqGix2o5Sfz+xUAxBuUK8jjDdBX0KwAo5DJFvHJ5ByDLc7RCIxQSz2UvIt61g5W2m2lpaWDCvn7DSb3+/fstT/drEXdM4K2SAEg8HUsSkpKcmwud6MaLBNNLsMwzC4f/8+U1NTlJaWcupU4cJsMZCv9hOJRIpeK7FkXsrLy2lvb8/b1rjTiMbywfH5fFy8eHHDguVWazSzs7N0dXXR1NRUsB4DczgcP0pKschWMMJg9mHiR8gWREla4V/qyS6vyCimUgqlIYQjs8FDKTkDRhSm/x5cJlSnza8cvITIQzZCUaH5HNz/36Etq00ZoLQClqZhUYOKJnj8j3Awz1xUVSWEhuHxPNT5Ch6X+MwkzgMFZpFKnIgG64YiCvTBynswEYCKOqQmEdL6DQSsuEFZQKoqQnODwwtGGOE/lKzxY6z+iyGWh5He47B8FxKLSbJx1yO9rckmAzGCUC8nxaelDvHXkdohhNK4KoFzB4ejlPLy/44QtZuODNJrGEeOHCGRSKSinXv37qWkYKzGgt1Ks+0FoslGeqRnHRsrzZZug+D3+0kkEgX33yKap52eLAaeKtHkS9uEw2E6OztRFIXjx4/nCLsVE+lt0tm1n2JZOUOm8GYh62gL263RSCkZGxvj3r17W1IS2GwElZ7uW79ONobTeRNQwAyCaEZoNUhZgVyJo3izaiOxGTBiUPVSUgA/vgjjP0ZWnUC4V+dajBUIfg+q25DLg6DHEFpaKqIA2fD4W3DUD1MDUH+MHJRXQvAxLEjwr3MMSkth6h2YcUL5T+R9iVMp8JstLUFzntqVyw2NrYgSX9brg1B5KfN7ACwvQE1Wm2t8CdT6ZGrPmfk5cqELRV9BOsrWFHyEBs6PIIwJZHwA4TxGstvvFg5HAz/5k/fQ9SskB2K3BofDsWGaLd1Rs1hptv0wZOpwOKitrU11raaLx+q6npLNso6PZYMQCoXeFzM0sMciGmtexfJAmZubK2phPB2WokAikcjbJl0sorFapOfm5jYl87KdiMZSLJidnd2yuOdmajTp9Zj1hUqHcDo7wJxFUALqqneGNCAeQ/Wez3x5eADUCkgvkjsroOnDYOrI4ZvIUhClBqI6+V7hOwuTvVBZD660tMLBS4ie28jTq2Tz6JvQ4gWhICs8EAwg/HmOi78aBn6APNi6vr2YNwSN5TD418iDP41wpC2Uo6NwsEDr+/Q0HMtDclPT0Hg252EZdSDKMxdOuTwP1ddy9y88Df48ygeBd1AqroDqSr5noRtphsD/TFJ1QW1EqI2Y0Q4Ei+BqQJoBXK4jOJ3fIhL5J8D2BWLXS7NZ8k2FUklbxXrF9L0KSzy2sbGRf/zHf+TUqVOEw2FmZmYYGBhA13W+/vWv43A4ijaE/id/8if8/u//PpOTk5w+fZovfelLfOhDH8r72tdeey1DrsZCf38/J07kaWjZBPYE0aS7RabPqxQzqkjH3Nwc3d3dVFdXF1QUKEZR3orONE3j2rVrmxr42up2LSkZywRtq0NlG23Pqse4XK4NfHY6cDreBbmCwAXqC8mH9UeYehzFUED/IVI4wXAiYkFQq5ByDgyJKMm661+aRIgown8ac6YLkd781XAaZh5AmQGeNNI7cwlx9xZmZQilxZMc2ASExwMzk1BSAs7MO2m5HIQDK4iht+H4S5BvwZscTpIMwNFSGP42svx5RPUquSzPkW4HnYEC1teG8JGzpYUwoiK3G07MqVCW+Wrz8QOUljxin/NvQeXzma3ZvmSqUYZHMKOTiNI4QswgnEfA8EJiGMVZiWGEEWISr/dviUR+hp2QTTo2m2bbjuLyXkydbRbWdVdRUUFNTU3KBmFwcJDy8nK+853vMD8/z8WLF/nJn/xJPvrRj/LSSy9tWZ/tr/7qr/j1X/91/uRP/oTr16/zn//zf+bjH/84fX19HDhQSF0c7t+/n3FTaXXcbQdPPXW2vLycsRinz6sUm2iklAwNDfHw4UNOnjxJU1NTwRN6p9uenp7m7t27NDc3c/z48U1fDFshmmw9se1ccOvVaKx6zEbfQYgbaNr3QdSD6UAqH4bEbQQxpPSjuF9aey1AeATKT4Czau0ufWkYlh+jK16UyCJK8ynwJdublabnMEc6Ec11CGtOpfY4zD9EmgJRsppSCgWAeyhzIWjKiiIO1kNPD5zJbJmWM/0oRySc9EHHG3Ahj9RLeIR0BWlxuBQW30WOHEDUHYPDBaydp6chX7ff3DJqTUvOw/JxGHE2kwjNkUmUQ1eTfwQnYXYAlpcQ1Sdg6A1QRDJqcziTBnDeckTwXUTJMXBl1pxEYg7cFYiVJaSnZXXepgQMF6zcRfU0IKWOEA/xer9CJPIrZDRHFAmF0mzBYJCRkZEtpdneD0STHs2pqkpbWxtf/vKX+ff//t/z8OFDPvnJT/KDH/yAf/2v/3VKBmsr+MM//EP+5b/8l/zKr/wKAF/60pf4h3/4B/70T/+UL37xiwXfV1tbu2lH4o3wVIlmbGyM3t5eDh48yNGjR3NOGE3TtmQTsB626lNj1S62eiKbpsmDBw8YGxvjzJkz1NcX8pfPj43sCSCzXrJTCZ58NZrN12NAEf+Iqr2OohxDmkuAG+QYwnEQmZgHLWsSPjIGWgM4s1KI5YeRaJjLQbTSBpgZgZa1JhCl9TxyuBdZ50GUrC76VYcQU49hJQKzXVAfgbMNYBjIsSCiOavWcKYVerrgTLIlWvaNoJwKrT1/oRw634HzV9eOxcoKtJTlpq0qnFA2iXznLuJsO/ncNY2wmRu1AOasiVKd9cxKDHkoS6Rz+hHK3DzSfA1R7oXqOvDWw8IxRF3m7I0Y6IAjLySbIAApTQg9RCaCKEYiKWdT/exq7acREV9EznYjao6D6gPXFYjcQHhbVusej/B6/ojIyv/CbpBNar/XSbONj49vmGbbz0Rj3cgW2v9IJEJ1dTW/+Iu/yC/+4i9uaxvxeJzbt2/z27/92xmPv/zyy7z99tvrvvfChQtEo1FOnTrFF77whbzptM3iqRJNKBTi/PnzBUMyK6rYqdifZens9/s37elincxbOZGz6z7baU3cKKJJJBLcvXuX5eXlHRm7Wciu0Vj1mKWlpQ0/XxHfRlG/i6JcRRpDwDGEmowkZCIKsWOI0rUF2JwdQWrlqP48d/lTb2OWH8fZlEZqw29jVjWiVCQXOnH4NARmkOEJRG0jLM0lCUZZhBYXlK9GNqqKUAVyMYKoyFICOF6HHJ+GumqE4x5J07E0nFHhfi+0rbZW3+lGvZ7/fBGKQDYvg/pt6HZCywvgr139/gaK35f7JtNE5Kuh9c+jXDyNfNyHCA5AlQYBF1z+aCb5DM3BqayW6Ic90HotRTJAklBKD8FUHFlWDgkHIvwISluTL3BWIGo+BFOvI2uPIBQ3eF5Aht5ClDYiJSjKOF7PfyCy8lvA9tMmW0F6mg1IdWzNz8/nTbPtxxqNBau1udDaFgqFdqwQb9W5s+fo6urqCjZaNTQ08JWvfIVLly4Ri8X4i7/4Cz7ykY/w2muv8cILL2xrP54q0Zw8eXLd9FT6Yr9dIydrcr2trY2WlpZNE1Z6n/tmiCkQCNDZ2blu3WczWI9oLLM1r9dLe3t7UXSo0lNn4XCYO3fu4Ha7N/x8wVuo2tcR4iWkcR9idQjvarpKmsiAjmIMwXwn0l0GLh+K7oGaRmRsHhbnQV9BqnFEZBy97BQOry9zI4evIaIRuHMDTp1N1lfCs8jQHHKsB+WsF85WA9UwMAQlLlBXF50GH+LWCFxuzfxMpwOhLMLrD+AjeRYoTUE2h5CPpxBNNYjGGAUvk2AYGg3QVDhnIGM/Qrwu4NA1xJQJz+aZuembRZxJa9efm0rWgHQXzPwDosUHLfUQTUB2h97wIzjxkdSf0kggHt6FsgOg5Lk+Bt5EHDi72jRRgzQSMPcu+I4itNWboPoXYeE+UtURZdWI0hcwlztRyhqRCBRh4vX8OyKR380UIn1CSO/YklJmdGyNjIwAyWt1cnKyqN1sTwIbkWQ4HObQoTyqEdtAPmv4QmthW1sbbWkjAe3t7Tx+/Jg/+IM/2J9EsxGsxVrX9S0TjTUYGQqF1plcLwzrR9ioTmMZhw0ODm6ZzAptNx/RTE5O0tPTsytma1JKZmZm6O7upqWlZWOFajmAw/l7IC5AYhpiKngvJp+b7cDUnSgNL659J4CBQTiWNAkTrhKoTS50ovttOPezyfGQ6XuwOAn1x6E8eQcmnC4oLYO+m+COwKmjKDSCXos+1IXWtvq7HjuC2TeCciqtBfhyK7w1CNeznCyDy+B5j/x+NiBKNOTsA8w3x1FfKByVyqFJxOW130G4BLwIJN6Ebh3ecGL6qlEi8aTGmrs06Vm2PIKsMBG1BlR7YCYOz2Z1jz2Iw7m19KKMxBCuFhh6N9nWXOIF1YOsP4sorQRDh4VJCAUw9QRKYBwOXcjozBOqA6qvI8OzmEtDKJVHQBoII4gRDaLM/wga6xBeDTl/G9RlzBI/iqjD4/53rER/L6/+25OCEAKv14vX600Zmw0ODm46zbbX8CRMz6qrq1FVNSd6mZmZKagWkg9Xr17l1Vdf3fZ+7GmisaQltlqUt4YWy8vLuXbt2rZc9IQQG9ZLEokEPT09G8iwbA2KomTUpdJrPruhIC2EYH5+npGREc6cOUNDQ2GJFQBkAIfzN5FGa1LuRFMhegSWh8GcQZZWIZSLme95+ACO/WTuZ3W/DefS5lLqTkDdCaSho9+9iWN5Go60wvGkpIqMx+HtNxHXjoCmoR06R2KgG8ex5HFXThyAWz1wOa1mdbkV+TCIOLRarxkPQvUNOOWGG4PQnmunDKC0lmD03kSGn0GU5O/kiztjuMhzB20CH1KgAhTmVh9cgogJhw5BiSMjHSapy/w7bMKRq8lOMdPAvNcDUT/K+fOIVc8cGVwEpTFJMgCqBr4GKKlETgzAxZ+BRAzuvwVVLVC91l0kSmrAWYY58kOEL4aoakKlDBn1I5bvQ1V1Uton8A6qA8xYGFXGcDn/PbHE7+Q9Fk8DiqLgdDopKyvj9OnTeQcj07XZttLN9iSwGdOznRKN0+nk0qVLfP/73+eTn/xk6vHvf//7/MzP/MymP6ejo2PjtWEdPPWus42e30r3V7r98dGjR2ltbd3RibXettPTWOu3/W59m5YPTiwWo7Ozc0c1n/VgKVQnEonN1XtkAofjsxD3oLhXF/PJRaQ3iPBVAS0w60XUpLX6zs9AfR5p/GySSUNkqJ+Sqho4+xwMdcPyAzh6HOF0wrWfgDffgGcbwelAaz6NPvwA7bAXFAXajsHIOLSuEotLQ1ckylI0afcbeQ2Ord48nNCR0yFEXW5rsjm0iPLxSeTtWXjmYwhn5s2KPhPCearAb343DJfzeIj0AZczP8eYNFHaWjMeS3QJHM86MN96C+qAOQfqC2nkPbOACJfBocz8vQwvYwamUQ+eTz7gcEHbi2DoyKE7UOJD1B+GwdcQ5Qqi9QRyfBjpWUG4PAh3GRiHYWEUfH6k7wpi8V2UinJkJIim3MUU/x8S8jfyf++ngPQa6kZpNkVRMpxGn3aa7Um5a77yyit86lOf4vLly7S3t/OVr3yFR48e8ZnPfAaAz3/+84yPj/P1r38dSHaltba2cvr0aeLxOK+++irf+MY3+MY3vrHtfdjTEQ1s7LJpIT26KJb9caF6yfj4OH19fRw6dIgjR44U9S7J2ubCwgIdHR1UVlYW3T0U1qwDpJTU1dVtqqlAU34d4vMo8hJSmoipPmTdTyOU5L7JQAxRk0yPSSOBHO9CWTbANYt0lYAOwuWG6Tlk0zkY7EAE5pP1hZIKZFUDkXv9eK9dA+v7HkkWvo33bqBWueFwCzz/AtztQdZHEDUViOoj6A8H0Q6VQJkH5kqRyzFEWXIhcRysJPLGIErpIO6L8bUv5NeIdo3jqcuVqJHjAyhHBOKKgfH2D1GuvoxISycm+sfRXiywSETyR8FRV11Ob5o+WYmrYe1zjakIMgZypgfleh3mg0WUy8m8uFyJQvc9RNgN7iWYHAfALC9HmZlB6KAezSO3o2qII89ihuYQd/4rnDmfmicSTYdhbBjpNxElJVBSCcs6LE0hysuRJRcQ4W5EyUHkyjIu53cxVxowlH+W/7s/YRRq1smXZltaWtpTabYnRTS/8Au/wPz8PP/u3/07JicnOXPmDN/5znc4eDBZQ5ycnOTRo0ep18fjcX7zN3+T8fFxPB4Pp0+f5tvf/jaf+MQntr0PQhbD9WqbMAxjQxJ54403OHXq1LrdF4uLi3R2dlJSUsK5c+eKFl38+Mc/5uTJk6ltpw+Wnjt3bkcDTIXw8OFDJiYmiEQiW5KS2QrS6zGQjGxOnz697nsU4/dRzW8jovXgO41Y7EAqlxH+pI2yjCcgfggRGkcmZqCqETG+AMdezvygwBw4m6A060bANAnf7sJTXomcGEe0NKIczUpr6Tr8+EdQqSBLPcRjOmZ0Cs/FoxjBJQiNoLYku8zid8dwnvUg4zor79xFOzSEMbGA57ncSGP5x1D2obVtmcEEwv33CM/apRF43Uvli2vpv1jnXVzncz2KpClhJoGozzwHjTAIpRXFs3bDYMZMzOVTaNXJSDV+pw+5UILrJ5LRiwwnkJPNEI0hAwFEQx24D6G0ZM7gyKGHq9HKamqjuzNJSs+cR6wO8Joj3VCpoJT7YLQXKv1QlpbqnXyEdMUQlau/y8IE0hFElJQgo0sgBpPDrGYHMr5CxPx/IUWegdEnjIGBAQCO5VNfWAfpabZAIPBU0mxjY2MEAgHOncsVVpVS8swzz/Bnf/ZnfOQjH8nz7v2FPR/R5HPZtJCuIXb48GEOHz5c1JMjPXUWiUTo7OxMTeDvhhGaYRhMTU0RCoW4cuXKlqRkNoP0gVWrHjMwMLCx1ln0b9HMv0mmYjzNEO1FKv40kokgR5cR9R6or0BQgQzFkc3XM1tzTRMCsaT+WBaWbtyk/Ppqn/5qx0tieJjQo1FUXxnloQB4nXDtEmY0SvjuTUrbm5GJFsI/+nvUyjjGXBzHrBczvoIZjRP963E8V2bwvpD8DRM4MSMmijfzDthzVic+sYRzdfo/0veQ0uuZx6TyxQiBf3yNyg+/RGJuBee5/HWb2CMFd2vujc5Sp8Sf1SYduWVSer0EI7CM0f8uwl+O48Xrq8c0gd4pUesSKGdakeNlyHhNDsnQ0Y04fBwqfGuPnTufrO8sLcK7NyA2j/ITV9ZUDw6eRs48RqxMQO1qO3nDAcTMBHIugKiuBF8jIpBAqjGEuxy53ALeKYgfR3j68IR+mwhfB9Ga9zg8KZimua1ofy+k2Z5EjWavYE/XaKBwnUTXdXp7ewkEApvSENsOrDSWpe68kwn8jWARma7rqTurYiJ9/ubq1aspH/INlQgS93DE/gNUx2CuEfyzoHpgebVLqu9dKHehtF6DtKYL0ReGZ0uyPmoYx6ksy2Zg6e23Kb+eW69xHD6MKxLBUV1NKOjBE5hC6AZKRQVlz79MrKcX1ADelz5G5I1/pOSjpYQezuGpnkEtAzPmJjEah9WxSUeLi6k3lql/ITOq0Xwa4YERnI3nMKMG2smHeQ9F5YcXCbz2NlBJ5Uv5L53gyAINrblNIULLjaQUbx3Lr9/A+ww4r/tIdB1FqAqJwXGMQQ33T30MAOO9+xDQwBXFeDSG8PtQIhGYD4K3HOYDmURjQVWQ3jji1Em4ew/Or0WtorYFGV6GR0OIA6vOn7WNiMAMxuQ8iqojzRAiOIA0owjFhVkCotoLwYMoPgNv6BeJKG8+1U40wzB2nMF4Wmm2zbQ326KaTwj5ajSWbI2lv7VbRT1FUZiYmCAQCOyqs6dlhdzQ0EB5eTnj4+NF/XyrHuPxeHLmY9a1CTBW0Jb+74j6GMy5oLosOaQ46IPSEMx2wqkaRJcHmtOK3Pdn4FJWv/39R2itF5GxKBgJiMcQepzl+4OUtX807+aXf/xjSq5cQXG7cdTXA6dJLC4Qfe02WnMVrjOnkbpO5Mev477yIaZff4+a5ysJdi5T+cw8iksFoxaZmEM4kjc1NVdLWBpcofxoZkRacsVLoGOSleUwTS9ECx5L/wszzP6PIGbiOIoj90appCX3XEwsmJSfz0yzht+bQvEuUfZiMoqK9vhwnW0lemcQ02zA/eJlQp0PQPfgPf0Sijdz8DTe2Yvzp9dayGV/PzIWRTlwECorYeJR0iTt8qoxXEU5/PgmfOi51HtESRlSbcMcHEI5ejApcTP2FqLSgXAHEX4PUEZidBHHwQAKYI7PJa2rZ0pRKhK4ov+CmPPrBY/XbmM31JsVRcHn8+Hz+VI2zvlk/isrK6mqqtp2mm29iMY0TSKRiE00TwrZqTOrEF/seZJsxONxlpeXEUJkRADFRD6pl6mpqaL64FiaawcOHNiylbM2/fMoTYuwEIaKs0mSCesQk4gD81Bfg3wcQ5xZk2zBNIEGZGgZBvsRSzPgdyCVJoR3du11XohOzVNy7hQsj2FOTCMXFknEEsQ0F+ZCGN9PfRyRlRZxVPhwvPQRYg/uE/7hTRKRIBGfSujWOFJWMPdOlMrzzcy8FabuxRiuk36mf7xM3YeSTQCqUyGxnD8V62lZIPEwfzRjITqlUPPsPHNvvYNSc5Kq077Uc0vDK5QfyU2phnoE/ueTC0p4aApi9zGcpyg5nSSZRNhkyajGcW+QlYALoToQS2GWFx00vPhSxmcZ0SjB2z1UX8+MDMXJkwjAjMeJv/MGjioH6vEjaQfOAR+6Dm/fRF46g1i9ORNuF5T5Sfzgr9FerEaca0AB5MMEoiwOmorjYDPmyF2UVidKjQ8jPIRaHsGYFDg8yxix/x3d9UvrHrfdwpOQoFkvzTY6OppSM7Ains0K2xqGUXD0IhwOA9hEUwxsJXVmSeHPzMysK1tTDASDQbq6ulBVlZaWll0hmUQiQXd3N6FQKKO1uFhWzlJKBgcHGRkZ4ezZswU11wrZBKgTv4biHYEIEKxHVKqwFEJOlaGkLa5iqRZaVu/Kpiah+wGy7QSUJRCXyoFy5M0xxHO58uKRh8u425MXkqhIfn8ViL/xHv5/8nGMxSWiDx6wFI7gqqrGd+IkKzPTLD8corb9Kq7VhdQ9O8tibwelhw+QWAww8Q8d1H7oKJO3HtJwOUL1c00s3BvEdyK5n1UXSpl+e5m6a5m/6/ytSTRjHijcgTd5K8Th81BzWGIafUz9oJbKyy04fS5Cj+KUH84lGlHVyNKjWZam7tB4eYWVoAdvyVpq9NFrksZ2F0ujjfhOHiHQ85jIuJOKY+eITMygOByg6yQWFokvLCMTOuGREUpaW3OP6XA/7tONmIZB6N0OKp69kPmCa8/BvQdIXxmithLe/nvEaS/aS0cxO/pQryRrQOJQA9zuhkvJ/RS1J5ALAwifhlg8gJQPUP1x4nMraOp/YG7pDGWV559459aT1jpbL802MTHB/fv38Xg8GRbXhY6JYRgFSckiGrtG84SgqiorKyvcuHEDTdO4fv36lqXwN4v0OZxjx46xtLS0Y1vlfLBmcEpKSnIGSotBNBaJhcPhDaOxfKkzsfBtlPjfg8+ZNMlqeTbZkixnUJrSaimDK3D6OnJ6HDHamZxkbzuGOJg2cWwYyKYTOaKUgXfvU9meK2cRHRqh5FJy7katKKfkymWsS23mnZtJ22dDsjw5RcWqoZi7pgb3Sy9jGgazj9/GqDnHo65Z3OVLPHp3kQPPOhCiHiM+jepMLkolxzxEFnS8vuQlEBwwaDw+hqLB+D9EaPqYN2ffAEq8a2lcRYX64zNERgMEb9XgrqsnFowTDxusLEWJLkdRTJWEMcDB4zHKDwhAMNXdxJEPJxefh/8QpOn6TxEcKMNMuAlNKTR8+OdRs+oOkbEJVG8ZVSeTagbSNFnq78cIBqm4fBnF6ST49o+ouHQUxZV8b/nlZwi89jb+Dz2HSFvsxInjyNFh+MFfwMtJmRsBKMcPYw5PoRxetd2+cBbR0wVnqhFeB3KiGlkWQKnxIO/XQ9sk2mICtEl84X/Oa2/8KT7/WgH9SbhDPm2ts/XSbA8ePMhIs1VWVlJWVpahOrKejbPT6Xzqsz7Fwp4nmpWVFebm5mhtbd1YGmUH0HWdnp4egsFgag6nt7e36H44G0nJ7JRoQqEQd+7cSemhbaSKkJM605fQpv4XqHGDZwg5+WHE8jiyehYeHYX6tBN/ViD178HxSqirh9vLcCmzjmX0LKM+kznboUeieOpzNZz0WIxwQqMqz13c8sMRKtpO4Uqbj5obGCA4NkaZrxwtFiFmGFSfP0ddSQnRpWUmOm4jtCbmhruoboOZOwa1FwMAlNZoDL6+yNEXK4guG5jBTpTVoK+yxWBhXMfXlHl5LI8L6o7nHkOvX0eqM3hKJlGWwQWUlQKlMHjPzdGXXawK8ZBYEdSdOYJpmgQHm6m7/EkWhhQiMxFc5XXEQpJAVw9mPIZWUoKryk90epbyo8dxpkm2C0Wh/GSSJOKzswTe/D41H7+WIhnrNZUvXWPxVhfe44dxrIqOLnW9i7sxjHr5GMr0IqIu2bwgKrzIeS9yYQXh8yRTpYdPIiaGoLEccbQWeTMAzwHHamFgBuWYF3O0itKSBX7i+KuMmv8r8/PzDA8P43A4Mjq3tqPQsRH2msNmtptmutNodpotkUisSzTvFxtn2MOpM8MwuHfvHvPz8/j9/gyRt2LDKpZnNxdsRrJ/szBNk/v37zM+Pr6ulMxOiGZ6epru7m4OHjyYtx6zme1pwz8Hmo7wP4SlCjCicCAIphNxIDlrIsMryHujKO3nM6VTak9l/h3TkdXNOdtcujlE5Ydzu8ymbnTT/FKuFHk0EADUDJIBqD52jMojRxh5+23qzpxlqa+XiY4eak4cpbS6isMvvgS8RCIWIbbSQ9W5fmZH/5Gag48BOPx8OVN9EeLzSxw4GEt9rqfUZLwjgq8pM4U21ROnLNeXDIDRBwanLuc+rvkyF8H5oX9K7alPYuqH8B2qQhpONM8Mhz9+OmMg1EJ4eoryE8eJL4fRSkqSabQsrIzdo+5nnme5qx9XczOumswOzIrLzxAdnyQ2PkVi9h4Vz9WguJLfLXwviKcsjuJNEpRyuB7zvQG46EKoCsLrwlxoRESCCK8DrrRBdzfinBtZ04ZY6kXU+SE4g8f8EYdcL9Ny/p9hGAaLi4speaPe3l7Ky8tTpFNeXl4UgtjrNgHZabbl5WXm5+eZmJhgaWmJaDRKKBRKdbNZrdqhUAivN39UvR+xJyOa9JmV1tbWVL5yN2BFGPkWZ1VVicVi67x7c7CkZHRd59q1a+ueQNshms3WY/IhvUajjP0eSvw9aDMQbhPz0QGUYwugKCT6DuE85UEfGEN4BjD046QndyKdUbznM8lzpX8F7/lkbcYILbP86CH65DRClBF4/VtEAYPkvX58OYGnqpGZ/i68dY2UViZrcHo8zvKjCWrOn8+7/w/efpsTzycL44evJWdQTMNg/G4fs1MTJBIxGo8dpunYs8Cz1Bz8JaRcQMpJwot9LAb+hmMtudIaR89JRt4StKbN0yhaZNPHFSAadXLg0rPATwFXgFrqTpcjZQIUJ4ZZiVCdVJ6oyUsyup7AW1uFEAJnaSmmKdH1OKqqrfrKgK4vUX7+EEJA+YXTGNEEseASLn8mSbqbGliY+i6aL4biWiOrkhMtLNy8R8XlllR6TblyDOO1btSXkpPjSqOPxJ0gjotJawSajsLsMKLGieyvQ5ycwTSPI+r6cN77AnrpNVTvgRSpQPIaCAQCzM/PMz4+jpQyo4C+3bm0vU406VAUhYqKCioqKjh8+DA3b96kuroaXdcz0mzf/e538Xg8RYtotmLjDPD666/zyiuv0NvbS2NjI5/73OdScjXbxVMnmuxitNUl1djYyIkTJxgfH2dxcbHo2zVNk3v37jExMVEwwlAUZceps2AwSGdnJ5WVlZw5c2bDYulWiWYr9Zh8SNVoQn1owd8HFUSJjuypQTmbpAEZEjj8TRgdnajnQhiPXTguH874HOleE200Ezrzd+8SD5iE33uIp6EMb2MFvlMK83MGVS/kClnO9waoOm2l05aILk2wNDXPxIMp1DI/i7fD1B04SlnNWv3n7uuvc/bFF3M+S1FVNL+f5spKqpuaWJqbo/fGHcqqBS1HjyKEDyihrKKUtmsvYPK/gZwDfRyMMUjcheib1NfdZSXkxlMaZXnew5Fji4AXtGpQakCtAlGOBE48rwKzoFSB58PgPINLbUUoPmBtERUi+W9hYRGfz5NaJK0WfiHE6nmXQFVFxkKjKAJFEUhpKWqsoKrLpK9FqtuB4nKg6wJNS15XUpqsPL6F71INiYCHlZFpPK1rx9H33AkCr3VR+dJa1kB96Rzmj7tQPtSa3C9/CSt/+2McR8tQw7OIlTlwgGxshe45lHMm5mALSu0E3o7/E5H2O0ntuVW4XC4aGhpoaGhASpm6s5+amuLBgwebLqBnYz8RTTZM00yRLSRvsCcnJ3n77be5efMmuq7zC7/wC7z88su8/PLLKSWPrWCrNs4PHz7kE5/4BJ/+9Kd59dVXeeutt/jsZz9LTU0NP//zP7/t7/pUJWgg2UZsOVlaqaV0Z8rJyUlGR0e5evXqBp+0eUSj0ZTO1/nz5wtGGCMjIwSDQS5cuJD3+fUgpeTRo0c8ePCA48ePc+DAgU3dnUQiEX784x/zsY99bMPXWvUYS3pnOznwmZkZBh7c5yXXryJmhuCfmtDjAOchxOlVT57veRFH3ChHkhd0/N1WnM+utc6G7+mUnHiOpe5ujPA43jYXgbsJGl58LmNboekQrorjONyZhe7J9wZpuJL7+86OTeOracKRVhCdGZtifmKW4PQSLUdP0Xj8JKqaeb80OzGB5nTiLyBbJOU7IP0IUQb4QWQdN7kMxIAqJBGECCNlHGHqoJQnmQJBkkDyqTdPgKhBYiDEHBBHSgfJbjYvhuFYd5o9ElnA4RBomicVuWTDMJYRYh5wU2id1XUNVTUxjDE0ba21XI8AMo5Wkvk7BN7oovKFNbLRg2HkndcRRxbRWpcxQzoyOIHasrrB98bg8hIyrEBXGRxpBnMYOaaRCP1T4lf+U8HvmLmfesrcLFsOpqqqat07+7feeoszZ84URTn9SePNN9/k7Nmzeff9a1/7Gl/96lf55Cc/yfe+9z1u3rxJT08PJ07kdm+uh+eee46LFy/yp3/6p6nHTp48yc/+7M/mtXH+rd/6Lb75zW/S39+feuwzn/kMXV1d3LhxY0vbTsdTj2ggWfDv7OzENM0cleKtqDdvBnNzc3R1dVFXV8fJkyfXvXPabkRjGAa9vb3Mz89vWeDTKs5v5Co6NTXF3bt3dzxPJISgbfL3ECVjcKoEBoyk+OXZ5GJivDOHcu4woj75t7kg0M6s3Qnpi2HCgxMo3iDl58qwWoNLmnKHW6f7Qxx5KXeKO+HNr+owOzpHTXNm5FTbXI9waBy7cBbNoWEasxiGAymdKIob0Kiqry94l5v0NnoumQICkLEkMSiCJGnEgHoQyd9MUAFUJLlFlSCnQNaADACzIFwgfIADSADzoBxYfS/Aavu2ACljGIYJGEip5CWRUChISUny9bHYIrquUlKSmQYzjBUUZRYhJFJGMAwPqpr7+2uaTiIxnUEykLTGMQw/UoYzoiFf+2kWbw9Qfv4gwVvdeA8Noh8MU9IYBQRKqUa8vwy1JZnKlkebEIshRIWJLE3AYh+MliOeWcbR+22M4f+Jcfhn8/4OmfupUVNTQ01NTWpOxSKdkZERVFXNaCpIHzjezxHNel1nsViMhoYGfud3foff+Z3fYWFhYctkuh0b5xs3bvDyy5n6hB/72Mf46le/SiKR2HZDx1MnmtnZ2XUX/mIRTfpw5MmTJ2luzi1SZ2M7245EInR0dKBpGu3t7VtuxbYumkKuolJKBgYGGB0d5dy5c1syL8oHz/1vUea6Cd44mBJEFLFUB5rAfH0SoWsZApGxwSY8lx2YsTgr/X2Y2iw1n3h+beEG5m4vU30pU6QzuhSj4UKu0Vj/zUFOPpcbzTwemuBEe57qOlDhr0NbncpXVAHogL666CqAhpRuFMWdsZhbBnoZpCxcIA4gpQ5yBEEpMAyyHERtSl5FyjhCjoKyKt4o0lOtBjANxgIoDeT0cgNS6hiGiaYJQCJlDF0XKIoDZdUdU9djlJSI1OLvcjlwuWBhYQqnswyvt4REIoqqTiFEMhEhhERRIui6d/Wz16Drkzgcj9D1SrSs+pKqhtH1cjRtKfWY4tBQy8pZeOevqLzuAhSoLWP2tUVqXkqex84rfuJvhXFeB+EXGHePolY8QJyLIN9xI44sYv7IAad13A9/k3BtO5Ru/hxNn1NpaWnBNM1UU8GjR4/o6+ujrKxs31s5Syk3bG9OH9b0pXUcbhbbsXGemprK+3rLUmS7njRPlWiklIyNjXHy5MmC8i6apm3KJmA9pLttbsp3ZRVb7TqzpGQaGxtpa2vb1gWwHtEkEgm6urqIRCK0t7fvfGp4eZaKkd9BrQmB4QI9CgkFed2P+foUyrkg5vyaQq9MgNbYQPjGbRytC5Sch8BrlRkkAxAzciO4h3fmOPlSbudgiT9/40JjaxuKknvsl5ailJfn/96GoaBpJhAnma5aQtcdJCMVJ6rqKBj5CTpAsVKkVsptFoxxUMsQwgsiv0KwlAZCroB6mCTp9SGlGyEOp543jEQGEQgh0LQkgel68nFVjZJv93y+0tXBwFkUZZ7S0sy7SiFAVSPougdNs2o+82haUvpd0wLoehWaltlUo2lL6HoFmpasgYZCCUqO9aA3HUGaY1gcXXW9kaV7E5SfSJKNdrIeIzCFWgnKaRV9uArt8DyiLopMgDhhwIMVTLcD99ufIvry9/Iet83Aage2sgJWU0EgEKCnpydlDFhTU0NVVdWuiN3uBqx1pRDRhEKhoqkCbMXGudDr8z2+FTz19uaLFy+uu5jvNKJZXFyko6NjW26bm912uiryTjXRLKLJlqdIH/LczHzMZuD4q5+GhmX0mAOtIYooAQarMO/Mo14IYD72o55eO0XmOx1oZe/ia0+ecHpM4jl3JOMz5x5FabiUWdOKxxLUncjtCw4tOzlwvDXnccNwo6q554RpStzu/PW0eNyy+05fzEHTEkgZR0oTw3AghBdF8WZEOtK8hVAu5PnUalD9yEQfwqECXcAxYG0fpDQQ5h1Qz68+ogGHVwnjIaaxhCmP50Qba/soUFUD05zCMLxoWv6FUlEEXm+AZNpNy7nok991hXjcgaJEUdWhjOdVdR7DqERVMyMbTVtE18uJRIYpL38LAEdJFF0/gabcS27boYAsxUwkUBwCpVJjpbsGT+UsQhEYsgI1EUAckoi/B9pMpBQo+iIi1IX23h+gX/nNvN9rq0hvKjAMg9dff53y8vJkrXFgALfbnartpLcL7zVY60ohoolEIjtub96OjXN9fX3e12uatiPh4qcec27EktZiv9WeBctC4N133+XAgQNcuHBhy4vzZjrAEokEd+7cYWJigqtXr+5YeDM9orEwNTXFO++8Q0NDAxcvXiwKySjf/beI0kcIYjhEHFEJhARmqUQ5MwNAYGnNEvnxD3sxnXP4Tqz9XtO9PjyVmanByWGBomaeVjMTDvx1fqLRFWKxEIYRxjAWcLlj6PoMuj6PrgfR9UV0fQkpo5hmbhS7uBjD6cx/yiYSMm+dAsAwBIoi0bQ4qppsbdb1OQxjBV2Pgji1zpG6jXAcAqqAg8ASUt4BcwwAId5II5lsNGDKZhRlFl1fKbgFwwigqvpqhLGIlLnnnK4vomkLaFoI04wWvB7i8TmWlrpTqTULQoCiLGIYmc0LUgpgAKezK+NxVZ3GNNci0/KTPubfWftNPOdcLNxNplRdR92E3l5VE/gwyGngvISQBKniHPgyYuZewe+/Uxw4cICLFy/yoQ99iKOrHkYDAwP8+Mc/5s6dO4yMjLC8vLwrKh/bhUU0hbIexVBuTrdxTsf3v/99rl3L7yXU3t6e8/rvfe97XL58eUfrzt6k+zRYjG8YxqbvTqxi/Nzc3I4sBDaKaHYjyoA1grPqMY8ePSpKPSaF0XdRe74G5xYwO1TU/0vyO8bHfTifTxaOY4tOfOcrSIQSzN65Q2mjgv9kZjHSUDKtDFZCOocvJiOXwHwA0wxTXhGj8WAt8CPSy1WmWY/DMZ2za4ZRjaomUz5SapimByk9WFFEMtrRst4j8HoLiROu4PFopEc6iiJRlChSrmCaOoZuomq1CJEdTYwC2a3YqykxYQJ/CRTuAjKMGIoSWt3eIoaxghDlKMra/ut6KKN+omlRTDOBafpS39M046jqROo1qhrGMORqZLa2PSlNPJ5RSksjLC1VkJ0hFsJAiCim6UBRdKQUmOY4mvYe8bgfKUl9nhBxTLMRKRdSpFX9fAux4DIufzIF5/CVoUcCaF5JyXPVxMbCuJpXML1OFCWO3uJGXQjBgIr72/+SlV9+k7y5wW3CuhmzFuv0pgLIP5Vv1XaqqqqKZpC43X3PqRem4WnZOH/mM5/hj//4j3nllVf49Kc/zY0bN/jqV7/KX/7lX+5oP/Y80VjkslmiCYfDdHZ2omka165d25Eu2npEMzExQW9v767ZOScSCW7fvs3KygpXr14tnoprIoHjv/0ylC6hd7pRjycAWP6RF+35tXmlwP06ShIhZPwujVdMpnqfyfiYmWE4cH4tetN1g5VIOeWV88RiQ1RWJRcj0zyAomR2PQFIWQME8+ygm2T3Fgiho6rLwDK6Xo3fH0LKKQyjBCnLgFIUpQRwFFy/HA7HOu2/Jg5HHFSQ5jDEHoDjGqh1IKNII4TQCt2khEhGOE7g2yCvgsh8bSKxiNu9dhetqnGknEfXS1BVL1IaqGog55MVxVh9XTmq6kbKsZx6lapG0sjG0s56jKYtA1BWtoRh1KGqK1mfHWNlxcTp1JByDE27BYDXGyQUaqS0NJ3QJpIpNC3Z6iqEjlZ+GCl7EEJS0uJh8nWNhhcTKB4FY74emh+iPBPHfN2D1rJCYqoUrSWM2tuP428+R+Lnfr/A8dw6LKIpdO1lT+UvLi4SCAQYGxujv7+f0tLSFOlUVFQ80aaCjUzPimURsFUb50OHDvGd73yH3/iN3+DLX/4yjY2N/NEf/dGOZmhgDxDNRgu0EMmhtc3USqxhz+bmZo4fP77jEydf6sya95mYmNg1FWkhBJ2dnVRUVHD16tWiakQpX/8lzMA0skRFK4/DRZP57wq0SgNPU/K7mjoIReLxdeHwgKkLyg5m5oujiWS6SUoF04yiqu9RXnkRTZsh837gAJBJNFI6UJTlnH0zTTeKEsq/34o10Ji8o4ckkRlG8mLU9UoUpQJFWbtLNQwodNMajycQYgXLFE0obnCfA3MWom8hDYEo+cn8bwbgJmBZ8J5JptIS74LrJ0FoLCxM4/PlpmqEkGhaCMOIImU0NVSZ+7pksT4en8HhiJCvlU1VVzAMiRClmGYQTRvL2I6izGOaPhQlnvE+tzvBzMwQdXX9GY97vdOrdZw18lPVKUzTj6IEV/+eRNcvomm3Aag4XsPEjwYxSSoWJL5XjevkPKJtBUdQQWkLIQc1ZLkTZ9//D/3sJ5HHimMBbZpmasB1I6Q3FRw5coR4PJ6KdixNQ5/PR1VVVUqpYDd1xjbqlguFQkVTbv7sZz/LZz/72bzPfe1rX8t57MUXX+TOnTtF2baFp040GyFZLF0/hWV1noyNjWUMe+4UVteZ1aURjUbp6upC13Xa29t3RYtocnKSRCJBU1MTZ86cKerJbvzg6yh3vg8H4miKQaihFP31JSqbJUHPmtTO5A9dNP2TtUVruL+Oo8+ukZ2ULpqPNWIYkyjKTVQ1SiLRgsMxk7E9KVWEyCUUKQ+hKLlyLqZZnbojz9hvoxxVLWxGpqohkhFGknikrERRyhHZg5hpUBQFTctzR6l4kFoNOHSI/g9w/gRkpQhJDIIjq7lB9YHqQyZuYYgzlJToWCSWD1IuoijjGEZTTirQgmnGcTj6MIxaNC1/ZK6qUXRdoigDOc8JkUDKCFI6EWLthskwEtTV3SIeP4LTuVb4VRSDSETi8ayfQhMiTCJcixp7D696H7X1IK6VZCQUmgFHtyAehdlRk6oXnCSicVzHdWRQxf1//D9Y+cJboO08bbWTGRqn00l9fT319fVIKQmFQgQCAWZnZxkYGMDlcqVIx+/3F72pYDM2zrthT/K0sOeJBvK7bFqwFv9EIpEz7LlTpHeAWa6eVVVVnD59uui+G1JKHjx4wOPHj3E6nTQ0NBSVZEKPhij5r7+N6g9jeDQSioIRWaKiRhAJS/wvgtRh5gc+YrWZUUXlgYtYC7k0vJhGPYrjr1CUtbvxxcVmqqsz0zSmeaoAQeSedlKKnDvvNThJtixnwjBcORGQRTq6XoIQJrpeh6qWZxxL05TrElc0FMDjqwf1JBj3IBoA18fWFATMMSC/uqZwNIA+xPJyFL8/vxqElCaKMomiJJDyMYbRjKrmkqKU4yiKiaZNoeuNaHkW52R9+8FqZ11uhkBRwqvHKXmzpOtONO2vAdC0mdU27LVj4fUGCQSqqaycSz2WTKG1oShjmIkoqvGnSHkBRb8PgKt0FF29jBa6RWktPHpDcuAQuNog8v04NFTA40UcR50o/UM4f///RvzzrxY8/ptFsYY1hRCUlZVRVlbGwYMHMQwjJfU/NDTEyspKShC0qqoqQ+p/u9gM0bxfvGhgDxDNZn6wbJdNC4FAgM7OTqqrq7l06VLR7zqsE2F0dJTh4eEtSclsBfF4nK6uLqLRKFevXk2pJBQLs7OzeL7wSVy+ANHaEjwlYWYDgspGBUU1WaoowZUIM/mDMirKF6i6uPb9JI3461aQpkDGKxHxHyK8H83pavL7XUAm0QhRQXbaLB734XQukQ3TrEZVcwVMTTOXTFL7Jt0IkV/0VIjYKukEMU03hlGPqlYjhIppGhQ6VUxT4q5oAFa/n1qR/Jf4RzA9ycddBSScAdM0UNV5KislsdhjnM7mHAUAw1hE02Kr+2mgKI/Q9aaMqCXZJDCf+lvTJtD15pxz3DBA0wZX33Mk9bnpUNUAul6HEBJV/evU44qyvPqezHZWv39hdchzLYW2sDBGqePbuJ3jIEBT38XQTqHqfcnP8kwhQ04EcRqeU4kMG3hLwfS5KV9ZJLrsJhGJofpK0UZex/iH/4bxsf9zweO4GeyWKoCqqlRXV1O9KmGU7qj5+PFjhBD4/f5UxLMdz5j1iEZK+b6ycYY90N68GWSnzqSUPHz4kNu3b3P06FHOnj27K/3yVjvk6Ogoly9f5uDBg0UnmeXlZW7cuIGqqqkhzGK6bA4PDxP+4q/jK31MSKnEUx0mMi+oOKqgOk0ShsBzNMz0D0toaVgmVnsYzbFGIqb2ElIvQ4bnUeJ/A2iIrBkNXT+Dqi5kbbtiVYuLrNcWqmnlT6WYZnneQr+UyiqR5CLZmbb2nKJE0bQR4A6JxOO89aG17SVySBQARxM4y2C5A2K5Bfy19y+l3u9yLSPlQwwjkfa8jqpmLuxJAhhD11elXaSJoozkfLamjaHra+eFaaqo6pr+lKoOYxiFUmwBTPNODjFr2hC6ntmSL4SOEA6kFEjpQE+sUF31FXSR+dvFRRSrY1hhDMN3BQCHy0A2Jodzyw9HWYx4cZdHiY97iUWB2jDO//4FmM3tOtwKnpT8jMfjoampibNnz/L8889z9uxZvF4v4+PjvPXWW9y8eZPBwUECgcCmZ/42E9G8n4jmqUc0m0E60SQSCXp6elhcXOTZZ5/dNTE9S0oG4Pz581vSK9ssLIuC7M61YvjgGIbB3bt30Ttv8uzjHxH1KIijQfSoIGxUUlOSJIGRBZWSbjdN9cmFuerU2skvTRfEFxHGdxEkj790tqOIhxnbSk7AP8p4zDRP5JCPaSq4XAmyYZoleaOWZDot//yJYZSlJtrzvS8fhDARIoAQ99H1FhSlPqPVOJlSK0xCzN6B2qMQvg0RP/gzJXLi8QQORya5Jtuoh9D1FjStBNOcX1UvyN430LTJVSJeQdPyp/ZU9RG6fgBNUzDNyYzW6GQDwBim2YCiZB5nw5hCVe8iZXlGqiy5j1MkEhoOx1p6WlWn0fXDCP4WTXsHgJLSbozYMVSS9SCPe5jA8kkq3atdaWoXpuJHMYN4KwbQjcNo4WHiFRHMGLiaQigjCqGQm5KGRZxf+GfE//M/Fj7eG+Bp6Jzlc9S0op2+vj50Xc+wP/B6vXlvTm2i2YOwZGisuRWv18u1a9d2rQ9+ZmaG7u5umpqaWFlZKXq0ZJomAwMDPH78OK9FwU4jmpWVFTo6OlCBq//9/4teFyaxYlDRIJntKkFcTnYQxaMaLYeP4jaTw3RmVRuKksy7y1gj5uxx1LpvZ3x2QpgZesVSaihKbuRiXVvJu2ITKSMsLup4PLO4XA6SE+766r9DKEoMKb0k52XcCOHANGsyFr+1bSbbdPNBShVVLUxAqhpACBNNG0XKcXT9IKpaixAKppko2AUGgHN1X0r84DFg6m+Qdf8UIZLnRzg8Tr77ESEMNG2EeLwah2Mu9wVpUJRpTDNAoUsz2XX3mESiHofjbp7no5jmElJ6U5GVrrvRtB+s/r85h8QUZZnl5XoqKtZINhlJvopgPu2zTXC4re5zAHzVQcxlF4qIoSoh5sQpqgkiMDEqvWhhqGmBx50eWspXmNI06ssizD1wUFY9jPr//rcY/8/fXfeYFMJeENR0OBzU1dVRV1eHlJJwOJzy3RkaGkq5jFZVVeH3+1MdpIW0DCFJQtFo1CaaYmIzqShVVQkEAty/f39X5lYspBuInTlzhoaGBqanp4uqHp1ejynUvLATorHqVnV1dZz8039P1DmJOqfANSfj3aC4V2hsNJHSger4EE7zR6n3ysYa4D7m4nnE4CPEscxFPmHU43RmRy5XVtuNkwQgpRPTFCjKa0j5GCEiKdJxOK7g8Uzm7HNygDCXrOA4prmIlI1IWU0spuHxVCBlWWqb2TAMd46m19pzHjRtIfW3EDqaNoRpjmEYB1HVwouWDNxFVK4pJaCoUN+CmRhEqEeRUuDzra/Jpyh9q/tXWGvPNOfQtAF0/XTBOhIIFOVHmGY5ipIb+ajqPLpeiqYZmKYLVf3b1HOa1odhnEVVM3+HioopVlZa8XhmMc0ykN9GVe6hG8+iMJX22XfR9ctoMjl/o4gpdM/zKNE3AaiqfEA82IJTf4yLHoKuo/hjgzRc8JAYTFBzLMFynwNPo0r84RLa3Ktw8xPw3PV1j13+Y/X0iSYdQghKS0spLS3lwIEDGIbBwsICgUCAhw8f0tvbS1lZGVVVVUQikYI3yqFQMrq3ieYJwjCMlOXphQsXdmVuBZIE0N3dTSQSyTAQK1a9BGBpaSmlu9be3l4wUtruNh89esT9+/dpa2uj/od/j/HujzAPOtHLY6wEBc3OZRI/dQFpdiHnzyMOJ1I1b6k4UTy9GBMfQnn8NmAiPIMZn7+cOEGlyGxhFqIa05xByhkUcQtFTIP4uVRkZEFKN15v7t18ItGYk24CMM1SFGVytS33AfAATUvWJUzzHFKWoSjlKeXj5DYkilLYjVWI/A6ZihLDNEcxzRBCtKEo+dqiw0Buu6nqCGGavavzJwU3TTgcxet9jBAQDh+kpCTXKyeZukvWv1TVIoTcm5ykeOhDDKMBKX0ZrcsWNG0UXT+KEPdRlIWM54QYQ0oPQmR28jkcsxiGH8G3UVZ1zlTlPQzjJKq6NnOjOKaQMWfq/ap2B1PUosgZBDqqvxpmk3bZZXUJ5CMVTQaYazhN9VQvoTo3DbPLzPp8uMYjiP/4r+H/eBe2OFy914gmG6qqUlVVlVImiUajqTTb7OwsQgji8XgqzWYNl1uOwu8notm7vxLJOonlNNfY2LhrJLO0tMSNGzdQFIX29vaM/vVi2RRMTExw8+ZNmpubOX/+/LrpuK0SjWma9Pb2Mjg4yKVLl2hYXsb4ky8SqVXw6UEiDeU0yhiyth7NvItcvIqY6EQovanP0GufQQ4eQ338YwQGsvYMgsyidUXV2kIg9RKM+UMI/jcU8eeoyrcRYrW4K3LrLaZ5FlXNrc8sLuafRTLNlrwLqJQCTetB095AiL/HMHpW9cHkaq0nf23DMFzrpNQkijKLqk4jxNvo+nyGLpZhCCigMr36ChyO19H1wrbfLtdKKrIrKRllbm4s5zWmOZP6zsl6Sz+GkcleyVTlG0ByeDL7+UzMIESuxpiiBDGMyjyPxzETwyhp50Uy/SZJlwlTlDEM9UraayKY7jVxVZUOjJKkkoQmRzEanwWgqmQI3VtLQ80yU+5KymuW0Fw6K4Eg0c/+4pa1yPY60WTD7XbT2NjImTNnqKmpob6+npKSEiYmJrhx4wY3b97ki1/8Iv/zf/5PXC7XrjQ4BYNBPvWpT6UspT/1qU+xsLCw7nt++Zd/OTU4b/3bqhHlU/+VCqXAZmdnuXHjBj6fj8bGxl2b0h0fH08RQD7hzZ3aOVuW0X19fZw/f35Tab+tEE0sFuO9995jcXGR9vZ2fKWlhP7VP0eRS/i0JVZq62lyGQgjjrxwDBluRxl6G/PUBYSR7J6KRn0QlCiBd1OfK2sy0zumchRVfYRMlGPONsGjPhBzCJHZvmzKYyhK7iIqRP67M7+/kEhm/ugjFqtBCEuixkBVh9C014C/xzTvZ3R4pWO9Ncw0PSjK0upn6mhaJ6bZh2kmVt+7lv7L//7Y6r7cSnWOZT4Pqjqa8Vh19TQrK2sSPOFwJEdxWYgEQgxhmmvHyDDiGRGKpvWg67np16QR3N8iZSLvd9e0Hgwjkzxj4QU0868x9Ex9N1W9h2E8m/mYoxtTVqW95h0M9fjaC7xhTPyYohbhCGKqVQgZhdZWAGrPVuB0QKC5lBJnCKPrPe7/289x//59ZmdnN2UNst+IJh2maVJSUsKhQ4e4fPkyzz//PIcOHWJoaIj/+B//I7FYjI9//OP84R/+Ib29vUUTBP3n//yf09nZyXe/+12++93v0tnZyac+9akN3/dTP/VTTE5Opv595zvf2dJ290TqTAiROpDpdRJLcn9oaIh4vNAw3/ZgEcDk5OS6UjI76QCz6jGxWGxLw6SbJRrLAsHv93PmzBlUVWX6Ez9F1fwosTMVOISB2nYEMf4W0uFERh2o95M1GVFnQByk2UR8SKXs9Jp6rxQqOHoztiXFWYzpJZTQWygkowaR5+tIeQbITpu5EOJxzmtNsyWv1lciUYLbna9mQ94oZ/UZNO0GQugYxjGkPJaaS0m2QhduSZYy3+zJFFLOkUicRdPyt1En3ytSIqDJzrHO1fqKL/Ua01xG03JvVjyeYXT9JJrmRdOCeduqkwOXE0jZkKyrqX+fZ1/vYZpHMxokDCOKps0AM+h6O5qWe/yFmEJKB0IkCMw7qPSu1nIS3pyVQVEerabbVlbfu4yhXUMx3l79W4KrDD3wHMyCMjyEabahjbyT3Ifq55GBCTiokShrR1t+B+PCNZo63mYpWoOMRWn+1l8z2f4hBqtriEajVFRUpFJP+eyc9zPRZHedORwOamtr+bM/+zPeeOMNfuVXfoWPf/zjfO973+MLX/gC3/zmN/noRz+6o2329/fz3e9+l3feeYfnnkvarP+X//JfaG9vT6XcC8Hlcu1IcWVPEI2F7MFFK4VVbDvnaDSaYR29npTMdre9tLTEnTt3qKio4MKFC1sKgzdDNJao59GjR2ltbUUIwcRv/zbeR13ox9qoNLowWj+MMpUs0prHrqP2JUlG+usQ8U5M8zCiL4xe40OktSdHKo5ToiRz8lKqmGPXEN5uFHPtjlviRGSREZDTOgtgmudyis/Jz64HHuY8rigHEWI05/F4XMXlyhXoBFZlWiw9rgFgAMM4CJxAyprUc7n7oKCq43mfS86TJKMkVW0p0KZKTheXpvUSCNTh9x9Z3Z+RvJ+ffG0/iUQbTmfu97WgqvMsL4OiOCkpySVFISKYZgApSxFCYhhlqOqfp73/LqbZnNNCrihz6PpZBCY+zx+tvV50o8cvoTlvp712Cl2/jqa9tfY67SaGcRRFPsJYvILS0Q/6QdS55FgAbidScSDMBOrCHWTQizo6jFF3FnOmFXlJBXc5pWf9lM8NsBAQ+L74v3L4H14jttoAlG7nbJGO1b1laZ3tR6zX3hyJRPD7/fz6r/86v/7rv040Gi2KEsmNGzeoqKhIkQzA1atXqaio4O23316XaF577TVqa2vx+Xy8+OKL/O7v/m5Ot+x62DNEEwwG6erqwufz5SzM60nQbBVWV1ZNTQ2nTp3a8AfcTurMIoHDhw9z+PDhLV8M620zXaomPRKb+m//jZVv/Q8aG4/gOGRimB9C1OiI+QRGxSWEsVaIN08dRxhViLuTiFgQ7XhmaBIvVygBzNAJuG8glFGU5qxus4qzqOJ2xmNSHkRRchfMpMx/LmKxafJxfHaR2kI47MPvzx/pQL7uq1FgFF1vxTBaUNXcLh/DcOaNNiwoygSKMo1hLCLEGZQsN1Eh8lviVlZOE4s5UdVqNG39aFyIwdX9WK/GEyYc7qRQUJwc+DyLpsWRsg8h1r6TECFMM3+Hk6KMYoZGUR2Zx0AxZpCmA5E2j6OqdzDNOhRlevVzDWSsFXlrBS2YJCDDW4UkKQGqRCfQW6+hDb+N0CMYR86jdMyhTt/FKLmI47+9gX76RYScxrj+HGX186jvLjD6f/1FWv/27/7/7P15nGR5VeeNv++9seYSue/7VmtmVWVW1l7VG9ACNiggoqhjP4M8CjjzA0YdHQRhHpWR8YfOI47I4AjqgIjSit1gN9DdVZVVmZVZuVXu+75HZEZkZux3ef64kRnbjaylq4dqnPN6xasqb9wt7vL9fM85n/M5ccrLieytvS65FouFu3WMfBTtIHpzovzMa1Ggj7XV1VVDcCgsLEzZ2hngbW97G+9973upqqpiZmaGT37ykzz11FN0d3ffsyrCD93v1DSN2dlZbt++TXV1NSdPnkya/aeSoHmQ4+ypCeyFmu5m9xM6U1WVkZGR+8rHGFkqj2avdcD6+joXLlzYB5n1ri6c/+W/UHe4BrMQAllF7OlF8A2iZhxCWN9F3IypuRAkhP45hOAWWlYRmebZ6G8QzGRlr6NOX0HomUDcnUArrEo6FyEj+QFTtVNJyzTNjKYl52wUpZK0tOQ8TDicmXLwdjiMASsUkhDF5NAQgKpmYjLdRhT/EVmeRlUTG4KlDqkpStr+oCpJC0B73HOoKBKSlLouxmJZAG4fmB/SNCuSdB1JuomipK4LE8Ug2dn9yHLqAmVJGiQctmIy3TT47g6yXJa0XN31IYSS80qisIASjs/LCIIfVauOnLeAvHYJ6fr30dSYXI1vAqUwShQQQ+Noka6h0mYXap5+DoLVgyYISKM3oSMAihVpe5W08w3ku10MfiSqNrzXR6a+vp5z585x4cIFSkpKCIVCOJ1O2traGBoaYmVl5aGH2F8vk2X5noHmbvbpT386KVmf+Ll9W6ejG2vvHQzU73vf+/jxH/9xGhsbecc73sF3v/tdxsfHeeGFF1Juk2g/dKAB/cK2trbuh4AS7bWGzmRZ5s6dO8zMzHDmzJn70iu712OHQiFu376Ny+WKA4EHMSOg2d3dpb29fZ/xsfcgbs3OsvypT1FdU4yldwLtWDbCnTm0J0+CZkUYdsPx6CxGKb2A2NuOEI70i6lviMt7aOnnEHpsiAvXETT9dwsJ+RINEcESn4cB4mbRe+Z2V+s9X5LMuImbz5djmKvQtDREcdlgCxDFkqR+LXsWDmdEzk3DZOpCEF5AlrfQNC3CRDsodxNPLBBFN6L4yj67TNOSNdvij23CZOpAUVKvpygWBMGPIAQQhGE0LXnwUVU7kvQiui7aKJpmHIjQNPD7v46iGKtWi+IkmhadIMihSkyB7yCpw2y6khu4SeoAagI7TRI7keVTqKPNmLpu6M0LEtiEIutoEX03MehEqT4NgKCGUSt1oBE3p1BOn0dQwlCXj+m5V5FzmhHCyxQFPRQMDvDyxz+Ofzc5P7bH3srNzaWiooKmpibsdjuLi4u0tbXR1dXF1NQUbrf7oWoGPky7H4/mbvarv/qrjIyMHPjZU7VfW0uW/dnY2LivpoolJSVUVVUxMZGsGJ7KfuihM0EQaGxsPPCBeC2hM6/XS29vL2azmYsXL963AN69hM72kvJZWVm0tLS8ZlpiItDsKRVUVlbS0NCwD5LupSVGfvu3KXOuk202o9XmI0ytwPYWpG+hjacjeOcRgrrwoWprAU1CUKIhGtm8ihQZ1xX3FQRZRvBHvQMtrQhBje9bomUcRxTiq9I1rRQhQZpGDklYpVyUwA5oAqiR2ZOmoJnnURRR964EQNAQBIXMTONrt72dQVaWMRPNKC+0Z8HgMrG3XBC8mEwvoSiVkWJT4+10+ZtZg2OFkKSXCYfPRZLtB5n+vcnUhSxfxmRKbqMsil37f+shulxEMTeO5aaqKiaTf38dXc4m+WiKkocjs5/t7fM4spLZd6LoQpZrMJlWUdVMRM+397+zs4GmWhBiFLQFYRslfAExRk9N07LRhhyYFq7tL5N8Iyg5LUhbeg8T0T+HXHQe02pH5Ps7aFYHQnAbydmFUlKPtDKJGJ5Bs9iQZm+jnGzC1NtGIK8J6VwB1T3zBMfH+cYv/RJH/+2/5dzTTyf9HlVVMZvNcZIwe31mXC4XAwMDaJoWJ4D5sMJQr9UO6kdzv/IzsQKgB9mFCxfweDx0dnZy9qzurd66dQuPx5OytbORuVwuFhYWKCkpuedtHgmP5m72oKGz9fV12tvbyc/P58yZMw+ksnq30Nny8jKdnZ1UVlbetT7mXi22lfPU1BT9/f0cP36cQ4cO7YOM1+Wi+5OfpGh+nrKCQqSePrQSB+LsBOrlFli2IC5OoV5oRgi4UG0nEbomEH3RBH4wqxirNkk4bCc4cQpxqAMhlMA2K65HIMHDyEwO32hKC5q3BGW9iu0RO947bqSJUeyB55C2/x5p55tI3m9i8v09QrAPk/bXSMrfIMlfRQx/FTH0V2iBl0H7G3Z3Rtl0rREOR+s3LBbj+JOqph0QNnPgcBjndERxAVH8a2TZuJe8HjYzZpsJgoYgjKIobsPvAQIBDbN5fP9vk6kNWY4/jt6ULJ6IIEkjKEp0PU2zIEkvxq1jMt1GluO1bjTNhCTqoYzMzM4k6nJ0/90EgwWouwFELQqUdouLkP908vpaJ4pcFzmGA62nEPPCNZSMkwlrbsc9JaI8jxYpfBXC2yiVepM4AQ2KIsXQO6sorRG9OEcANBVLpozy9avIufmUSxrnFIU7X/4y//kXfoHVufj8nxHrbK/PzPHjx7l8+TKnTp0iIyODlZWV/VqViYkJNjc3f2jeju5NpyYDvF46Z0ePHuWtb30rH/zgB+no6KCjo4MPfvCDPPPMM3FEgCNHjvDcc88BeiTl137t12hvb2d2dpZXX32Vd7zjHeTn5/Oud73rno/9Q/do4O4yNPcbOjOSknlQkySJQMCISfX6ddrc86L6+/txu92cO3duP/kJsLuxwdVf/3WqV1exmUykvXoV7zveQnr/9/QV7BmI/fqMUygKo/qaEDomUJuPIQVv7+/HV1yEKWxH6fVj8/ehHmpGVHrjTybNCwnvo2CdBkALp6OtNcFqGLKWEcP6jNYBIIGSdhyJZGaaZinDiG2mitWYxHYyMmaj62qZKMoZLOZARL8r/mS2tkzk5RkPGJqWWupld9dBZuYC8B283iPYbCeQpOhzaNSwLdYEYR5JmkaWn8JkSlYM8Hp3sNnin1lJehVZfvM++UDTppK2AzCZbkb2G4yQBJILTSWpC1U9wV4DOUXJxhSpwxEEFbTFpIZn+ncaO1sucrXvJfVlMyt3UJV8xJi8kyAoEM5Ak9JR+8qQViPerRr/Tkj+SeTcM5g2dQ9NDC4jF13EtKLni6SdbtS0fESfE8nVi1zViGluEMl9By0zC2llAvnSeUzXOxAvnUUZnkY7fpjilSVOFJciaBq/9ZM/yVM/8zO876MfxWK1Hhh+0s9dwOFw4HA4qKmpIRwOs7W1hcvlYmRkhHA4HOftvB6NDI1sD+AOAprX61z+1//6X/z7f//veTriIb7zne/kC1/4Qtw6Y2NjeDye/XMcGBjgr/7qr3C73ZSUlPDkk0/yjW98474asz0SQHM32wOae2GXpJKSeVAzypcEg0H6+/sJhUKvS6dNWZZxu904HI4k8dDttTW++5GPUOrzIW1uUmo2s3PmDHbBDUCo5U2Y70RozBVl4Asj3JpBCPoQiiWIYflmmvIRuyaw7RVH5tvjyFuaNRtBHYw7N9V2GG3dgbBSjuAcRFQ70ExpkGYwEbAbK14LKVSXN/rbKTmbsK6wA/iRpL9G00wo6hngCKJoRhA0HI7UTrlRm4I9i71n6emjBALL7O5eJisrE1kWkaTJlNsqSgaS1AeAyfRyEthomkZaWjL7ThDUCNg8iSCkYTL9IOUxdHLAJUTReB2dSeaKMPrMiMI/xm8vjiMrb8VkimcLapqZXN84YaEVa/qtuO9EwUvAdxRbZjzBQWQIefAK5qWo0rLkG0PObMW0E524iKqemxE0/X0RQxNokh1B8SMofpSyZsQJfd9CVqRbZ2Ab+eRlTG1tiP4ZNLsds3cOdWcHxR9Gy8ujYnkZb3k5oZoaBtvbuXP7Nj/9oQ9hycu7L7LNXq1KYWFhnADmXldNm80W11XzYTc33LO9SfNBQFNWlkzceBiWm5vL3/zNwU3nYj18u93Oiy++eMDa92ZviNDZ3g25m1dzkJTMazl27HE9Hg/t7e1YLBbOnz//0EFmc3OTyclJJEnizJkzcSDjWV7mH37lV8jc3aXQ68WWlobm9eL1ezCN3iZcdx7RFkKIPCjqseMIXfMIAS9aegZsR4sy5bS3YOr+AUIEZDRBQFASCi2LjyKg58Y0JR1l6QradBlSfxfieieCqm8bymxAwKC+Q0pmj2lkITCStDzgg5xG42sy3KXnCARBRhLbkcS/BO1ryOF1RIzBxO+3pgypaZqAIMR7EzbbNg7Hv7Czs8rOTtiQ2BC7fazpYBOrfGzDbjcmAOg5nhuoysEqzoIQQFMWEUhNVpCkMRTFgaI4EMX55O/Fa6hqdtwyZbcO0T+NJTCKpiaHQK1aDzs75fHbrJ5DXFxIYs+JYRca0WshBuZQcqM1GmJoA6UoGo6Ttm+jOvQBVNoaQmlo0f+/3oVaWIroXkO51ILoWkN6UwtpHR0El1eRi4qo8vmoEATKFQV2dvjIz/4sn/sP/4HJoWSP+V5sTwCzsrKS5uZmrly5QkNDw375wLVr1+jt7WV+fp7d3d2HVpkP0XHsYeVo3gj2SADN3WYle3mPg4DmblIyD2qxZIClpaX9fIwRDfu1mKZpzM3N0d3dTWlpKTabLe5B3Flf5+8/+lEKVJUiUcS9vk6ForC2tUVubQ5KRSNK5wjSig4mam4d4sgAgk8f8HxNDYhKAA0T6vYFRCU+9BEsO4QQThi0M8JoSibK4hW4bkEavI6gJFOVd7XkxLNqLkHUkr0C1XoYQUgmdkyNgc0As0NBqD2WvFwQdhls+yck+X+i+GdRwvHUYLM5dShTlgsQxeQBXBBUMjOvkpExnLKnjb5eMtsmFmw0LbUnFTkDRPkf0dSDn1Eh1I3iO7gPkiTdhmAynVk/Tx+aGtt0LRtpSfeQBNWDEkhGdkFQsWpRANpcPYSp+waSd5KQrSVuXTEwg+KId0HF8CyaEP1dkn8QzeyIHDOEWlSNml6F4jiGZstGyWtEszpQD1fq66/0ohYUYJ7oRKgqpUxV8be14RdFit1u8lWVyqwsWsvK8Kys8O/f+14++v73MzE8fOB1upuZTCby8/M5fPgwFy5c4Ny5c+Tn57O1tcXt27e5efMmo6OjrK+vv+aavr38TKpx70etuya8QUJnoigiCIIh0OzVrqyurtLc3HxP7Iv7sT3G2/DwMCsrK6/LMVRVZXh4mPX1dVpbW5Flma2taIwrsL3Nt37jN3AEgwRnZ8Fup6yoCJfbjckiYnJtEB5wIj3ViLB+AzW7Es1WjLgVreKW03dQlXRYOYQ41o76dF38ORTGe3+a4IC5dJiSkELX9WUZRYiBcRIt2+EkkS+gpdcCyWoApJDiT1X+MDUIR5Nz1ACYIpEHiZsg30SRz4PpCJI5hCim9hg8nl1S3UJVzcQk/QOaehzEliRQ3Nkxk5lpXOdjMr2MHH4TkungWbYil2ASXkIO5mEyLg1CUcqQ1K+jIaAE34JkTQZ4ACVQheAaRrMJCGLyrFuSupBlPYSmbuVgUqJhS8l7C8ValaTDZhGGkEOnESUn2XeiZAVlexHVIiLG5H3E4DIapn3PVwytIOddwuTUnz1BdhMueBxhMwDzMtJ3+/W23UvDwDByzTmkGxsImX7Cp96EkLED5VZML17HdKwAnu+h4tIllufmWLNYKAwG8QcClJWW4p2cpPrsWV55/nle/c53eOt73sNHPvEJKmprD7z+dzNBEEhLSyMtLY2KigoURcHj8eByuZient4vGN1TKsjIyLivEN7dcku7u7v3RW9+I9gbAmjAmBAQCATo7e1F0zQuXryI3Z7irX0NpqoqXq8XTdNel3xMMBikt7d3Xw7Hbrfjcrn280LhQIBvfOxjeKemCE5McLqpCW97O9bWVkKjoxS/+ynCXePgdiOZ1tEyixFGFXizApFoTjA7h0x2YbIUcbEXtaoa0RMfOjJL80SaaKL4z8GuFSlwNW4drbgOQY3n4cuZ9ZgMPBfMyZ0xNcSk9gF7Vt5gfH38KWTGggGoPRq/TKID5A5uf99GYfURKo8mV0FrGuTmHlCkKWdjNmsIwiCquoMmPBHXrTIt7eBXRguNo4QyMaUbS97oB9E9IhPXkAM/icmWfD5aSA9LCmgIwX40czlCQrdRTRMQXHeQwhPInouYcow9G1G4jRI+i7T6L3HLBWQ0Xz5kGuSTQm60EStSTDFnmrZO0H4GayCGkh1cYNfSTEaoN2bZGJpkB1VB0c4iPT8OG37EHbd+3nXHYGlWX3d3Ec1sRtjZRVx3In2tHy3Nxu6PvYW0tUG40oLjdg/O3FzKS0qY292lIiuL0Po6GWYzu4EAlx9/nIAkMTA2xrve8hZazp3j5z/wAa489dRDUQyQJGlfyr+hoQG/378vjzM3N4coivu5ndzc3Ls2ZLxbd02fz/dQwv6Pkr0hQmcQ7bK5Z5ubm9y8eZOMjAzOnTv3uoCMx+NhdFSXWT937txDBxmPx8PNmzdJS0uL+w17BARFlvmr//v/Zq69HcvsLIdaW9m5fp3yJ58k1NGBlJeLOL4KC4sI548jbLlg3g6+HYTlvv3jmBpPIfSJiIv6AKcdqog7D19BNWZlHU0tQ504jXTtFoLNIDxgSw6RCdnJjD5NsCEa5GFU01EEIXkAnpuEgtKkxQCUVhsvn74DaSmiC6IaoDijj9vPdxL0x5+zLqGS2tvx+qIALIpzCLywX7GvaSKimPy7Ys3nmUCS/5mtdeOwmKrmY9KigCCp30EJZ8eto6npSOGXoufBGoo3+flWQg1IQf2eSu5B1LCxmyaKTtRldb8dd6yZAt3I4RNJy7X1YrTd5P2Z/QtoxA+klvA8CtHfK4adBG2PoXUUYPr7NsSNFdS649HfPN2FUqUrRIsbSygXdCUBaawf5fwpBF8A68QKs7ed7Kalo2ZkUFlYiNbeTqYgoAQC5BUUUC1J2FZXkd1uxtrbKXQ42Ha7een55/k373oXT5w6xZ//t//Gputuocz7M7vdTllZGU1NTVy5coXGxkasVivz8/O0tbVx+/Ztpqen8Xg8Kajzd2/j/KPm0TwSQHMvFss8m5mZobu7m4aGhnuWkrlfW1xcpLOzk5KSEkwm00PvDbFXf1NdXU1TU1Pcb9gDmr/99/+e9bk5atLSyGxqQuruxvT449j6+tAkicyW0zCox6alw7lozgKEmRkClw4hhPUcjJpzBGFmFcEVraoXxPjQj1yQi3flDLy6iTjdjSaAEIjPQ2iSBfwGIpomg6Zl6ccQSPZoFNFYPsWZou5xYRKKk9VvAPAfwD62W8BihdazbpyDrzLeGZ2x913vSLmdpqWR5ZiNWyYITtC+QcAPiuJAiLD7jEyVHTjSZ/Rcj+kGO57kma0qx9dyCUIIIdyNpkaXK+GCpOtn0tqQA5XxO3PH3FNtG9VpHDJSQkcwjX4fRa02/F7Y9aKp0cmeoh5B6mxH3JpAE+MBTgyuoqS3xi2zaC60LD1XoyGw5TyB+K021NWopyYt9KI68iLnqqEVRJ8FcWMczR6ZxEm7aKKAeXCQ7FPNbL94nZVjx/ClpVF45gz5a2uE79yB7W2k7GyOHz1KaGqKiy0tDLa1cbS0lOaTeo3P3MwMn/3kJ3nb5cv81sc/zt997WusHaDp9SAmCAJba2vU1dVx9uxZLl26RFlZGT6fj/7+fq5fv87g4CDLy8sEgzph5qBizT023I9ajuYNBTR76s5zc3OcOXOGigpjRd3XYnv5krGxMZqbm/dF/R6WaZoW15+mpqYm6TeIosjw3/0d8xMTlFgsqNnZlAcC0NhIvqqibmywff489u6IqGVBHuKYG3FMD0uFJV3hWM1tggUFcSk6C1crKhHdURBRTfWYBrZJv9OFENYHN63yKEIgXiU5kNeAqMVX5muWXAQ5ubFWqk6JqwvGoZ3sFCKw68aiygCUVhgv9+1AbYwIbVmVRn3lGH0vtOFx+SivM94OQFULDIkKkuTHYvkGG8sHS26ooex9+RyTKUC6MIQcjgKIpgnI/qtJ24nCEmpgG02NqAWE2pPWAZBCnaiyHlJR5CpMu51x35v8nSg7iYWUwIwNQZNhx5hYIMlTuDZ0CRoNC/SEEDQVMbiBYm9JWl/cHkMT4r17yTuCaipEXWgm59U7WMJeQlVN+98LIR87RdGbZpruRqnTjyl6nCjnm/X9zE+iPKkz17IXFhBsNsSODibn51lyOqGggCNHjmAaHkZaXkYJBqk5cQJ5d5e3XLyIa3WVxf5+Hj97lrKyMlovX8bldvOVL3+Z/9+v/AqnDh3iyfPn+Z3f+i1+8NJL7OwcXC+VaKqqMnbnDl/70z/l4z/7s7ypupq//eIX97+3Wq2UlJTQ2NjIlStXOHny5H5zsxs3btDZ2cnKygqqqqYcV34UPZpHIkdzr2AxNjZGeno6Fy5ceKAq/7tZMBikr68PWZb38zG7u7sPrUVBOBymr6+PQCBwYH+awe98h4m2NopsNjSHA8njQcvJYbW/nzpJwn35MnmahrC5iWqxoJ1tRXxF57r7qopweOZQ8k8j/mAY9cdbYTE6QGpHqmBbp8KqXIaJddIyEhL8JfmQwM71mwUSgzdq7iE9L5JgiVI0AGsrUHkoaTGbG1B9NHk5gCPbePnCBFRUGn83PQiNCWQqUYRTZ3wMd95ATC+gqMI4xDR6+yWOnzX8CgGBIvk2fmcL9nwDkgMQ3B3FFIOxIisQyEGTihFEmXC4DJslGWgAJOEWcugZBFM2kma8jsAmql+DTNA8xg3ehM1NtDQrghSZPYeOIM326cfY7kXJOIkk9Sdtl6ktoakZKO6TmFZjWgG4htDSHQgxem1i2IXsuIzJ2xa3D2X6BObO7+//bXeNodkcCAF920znCMH0HKxePXwatMIeXEkLA2hZWQgeD+LmLJrdhriyQv7ly2y0tVGam8t4fz/hs2eRRZGyxkbU2VkmBwfJOH4cj9/PuNPJsaYmwnY7U7OzBPx+JE0jIyNjvz0ywOjwMKPDw3R1dDA0OIjdbqe4pISS0lJKy8ooq6jAkZ6Oe3MT99YWHrcbj9tNut3O2I0beGKIOharlQ/8+q8b3wtB2O9kuVcwurm5yfz8PF6vl+vXr8cVjO6Fzr1e749cjuaRAJq72draGjs7O+Tm5nL69OnXpdmR2+2mt7eX3NzcuHDcngTNa5Ui393dpaenZx8oU4XiJjs7+dvf/m28LhdFp04x19HBm978Zma//33OXrrENrDe1sbhqio0k4mFEyeoH4uGtCyXGlCD1Ygv9SCEwwjheCFKQVxHE7PRVhsQ77ShvOkKOBOARksW3svK2ILEsc2uEiEboQlpaNSgBosRXEGUcC2EZUZv3sKswboTPNUQ1CBsAs0MghV2d+HoU1AQX7qBZwtqjmNo6/NQkcKjSdGYEwCfS+NU6Tq3v+ml5d0ViDEMuF1PiPoTqScUqq8JSevF5rmOYn0SKTO+Rse7k0a6LZliK2rDKL5cxDQR6S4inJL6XbwbV8g4YDIraZ2EvT+Byf284feisoC8eRlTQQQEZuKnB8LWLlqemKQYYJW2Ce++CVNHPMgJYTey7RIm74245ZInol+mbKNJDtSePEwLXXHAIvg9yLWXMQ3r5yLKQaSG09Cne7Zpq6N4ymrIWppB8G3jazpDWlsXonMV+cnLmL7TRkZ3N+7iYsL9/ZScPctKZyfhs2dZmppCKi3lhNVKd08P+Y2NBL1enOvrrG9s0NDSwtUbN7h94wZmi4UrFy4wt7jI/IJ+31rPnqWvpwdZlgkFg3jcbsZGdM//8qVLdN2I/70A55ua4kAG4F2/+IsU3WNxpdlspqioCL/fj91up6qqCpfLxdraGuPj43zta19DEARCodDrkg74vd/7PV544QX6+vqwWCx3beEMegTmM5/5DF/60pfY2tri3Llz/Omf/inHj6d4OVPYIx062yueunPnDllZWeTn578uILO4uEhXVxfV1dWcOHEi7ibv/f+1hM/W19fp6OigpKTkQNFN5/w8n/+pn8K3vU1ddTVzN29y6rHHmH/lFewOB5hMrF6/TvXp0wjz88y3tGCWg0jLOvVVEwUE2Yrw3S6EcBj1aC3iWkyzsrIy8Fqg24Z4R2cOCWL8i6PlFCPuxAOPkluNFI6PY6mWOrTtNJTV86g9NfC8H/GfhxCmg0jtbUi3byD13+J4OhzKgGwLHMqEJge0pMFpM7SokLUKBX2w8Q2487+g+9sw1Q9TAxgKRwI4UijLqApUVKe4CUCufglpPeZl+FsT7GxGOdVTgy6sB+gt9r+ks6oEQojr11B24wcXJZB6Y0ltQ/U7EJXUSgAQURwYH0EOHuytC043mpK6vkba6UQJVkW8mXhJIdE/pdPADUwc3kKTcpOWS84+VFNe3DJB3kaxNaGJaahDZUjjEwh+D0p5U/y2K3fQ7NEbJs11o+ZGddgy8qMhOOt8P/6cbH3/k70oudkIfj8Flbr7mjk9jdnhwDYxgSQIBNxuZra2aLhyBUZHyc/KInNnh5rqakZv3OBiUxNlZWWEQyG629vZXFriwpkzPPmmN9Hb3W1YD3P69GlDkLlw9iwTA/FCslabjf/r137N8FoeZIqiYDKZyMzMpLq6mpaWFq5cucJb3/pWdiNq1SdOnOBtb3sb/+2//TcWFowLj+/XQqEQ733ve/nQhz50z9t87nOf4/Of/zxf+MIX6Orqori4mLe85S33HXJ8ZIFmT3Z/bW1tP8z0sJqf7VlsPqalpSVlvgTurkpgZLGimI2NjXHKy4kW8Hr5/E/9FI6KCg43N+MfHqbs8mUCPT2o4TDVZ86w/OqrAJQGgyycPct2ZyfpMUrMgcefQvznlxH2QLExOhhqgJJ7EuHFYQSXnhDVcvMRNuJn4WqNQRIj4m6oljqU8GXUO9Vo3XZML7+KdLsDcXlmX40AkvnIsgzVBh6IokaXF6TDiSw4LULdAqgd0Ps1GOuEWIz3bEJNilDb3Bjkp8j3bK5DdU3078ZjCrs9k8z26XUlB2mbKTJUx3hcAn6C098jtB09WIbVOJy2Z7sb8wRWU3C49/YbbMKuraGtNqdcR9MsiJODKRP/+vmFYCMLZoxZkqJrDE2LD81seRqQRnpQpfrk/cleVEty90XJM4Ay3Yg0GM0BSosDaLYosAj+bZTaKKtNkIOoldEbIS0MoRw/pf9fDmE6pedtJL8X9zH9ots6O7EeOoTmdFLZ2IiytUV9VRXKwgJFhYXcefVVMi5eJLuggJycHJTZWU6fPs3UwABWj4crFy4AcPTUKTbcbl75wQ/Iyc3l7IULnGppwRrJKZaVlTFnIH2fkZGBc3Y2afl7/u2/peAB2hsb1dGYTCbe85738Ad/8AeArqr89NNP853vfGe/l8xrtc985jN87GMfo6mp6e4ro49ff/zHf8wnPvEJ3v3ud9PY2MhXv/pVfD4fX/va1+7r2I9E6Cxx8I2V3d8LMz3sds5G+Rgje1CPRpZlBgYG2N7eThLFTDRN0/iLD38YLSMD5/Q0mYEA4vHjFCgK3u1tsh97DO/Nm6BpFB07xmpmJp6bNxFzsimc0wUu189eISvoixnwAZ/OttLMGWjeo4gLswhq9BpqjYcQPfEJ+pC4HZeLUSlC20pHna5GnJ8CdA9Jab4MCSxhzWRD3EkOH82sQ4NBl9j5FTDCNVWF2lLdA2Ed1r4JCyIUn4LNFTiRIo/iWoKaFCG1uWHITfD2S0ogEFii+x+3Ofqm1JOY6R5oSEjrpKXDztSrLIulCBaBqrIDmAuAZTuMeXMenz2ftOwU9OplnYBhdnWg5J5CyuxLWmVro4Zc3xiiz0UoswlL2kDSOgCEfGhzyd4JRHIsgUuY7PrMXcOMZSAiorjUiVpagRiMn0VLG92o2SWI4SigKttNkNBZWwhsIzdcxjQRzd9IS/1odgeCXw+pSbO3UfPKEF2RayZEGXamyduoVZWIc/PkLo0RrirDPLeEIxBgHRA6OkivrcXb3U3BkSNstLdz5OxZJm7cQK2pwb2zQ8HZs4RlmfNvfjObgQAhWebM+fOsbW0xGQES58YGzg395O12O2cvXMCRmcn21ha7OztsOZ1sOvX7dObkSe7cuIEoSWTm5JCelUVGVhbPfvzjxtf+LibLcsoc856gZmNjIydOnOBjH/vYAx3jYdjMzAyrq6v7Apygkx0ef/xxbt68yS//8i/f874eCaABHWw0TWNxcZGRkRHq6uriPAyTyUQ4bJwAvV9LlY9JdV73287Z5/PR09ODxWLhwoULdy3g+uf/9/+lq60N19ISbz13Dq8sE15bwzsygvXKFbI1DcXrRQNMhYW4I55N9YljCF03WT1zhe3bPRRkRUFGPXkY0TmGmlGFMCIhBBcglJB7SQtBjL6lYrZi8evMNZVatOUixMlRpMIfIKjxA7EgJw+WwbwGbGrywOdJ0S5mcxdqDJYvLENVjAdRlB5pkzYGs8MwrMCxC8nb5R6g1iKluH02G9i2dhj5Wzj9S8brbC8CBvyBTAcom8uMjJuoOiBMr2m52LbGEVAQFsrRMj0ICc3CQqEqLJvRYlZhdhXtmANBis/rZHqir6w8u4p0yIxkSn4vtNV8xJUFtGKroQ6d5LqNWlqGKC4R8raQ7tYFNgVVRlFLEYkHGkENokjV+0AjW85i+vsbaGY7qqMA0RtFHGkhHliEwE5crkZQwihVlftAIy2PIZ88g7C6gZJRQFDMQ8msAFEgbM7AXlSGfWODrPPn2e7oIF+W2RUEcufn2cnNJTw0RHZBAd7VVTIyM3H19SGUljI6MsLRM2cYHxvDs62fy4XTp3F6PExMRouM09LTcW5s0Nkez/azWCy0trYytbSEnJ3NtsfDhtMJTie/9f/8P+QZtEW+FzNqb7Bne0DzKLSm3mvvnNgUraioiLmElg13s0cmdKYoCoODg/u04tra2riL/bA8mr18TE1NTVI+JpWlaq1sZC6Xi/b2dnJzc2ltbb0ryLR961v8j9/8TZxLSzz2xBOsO53MdndTK0kI586xNjqKdvs2SBLaE0/guxZpOCUKZC/OsXz6Mu6r18lvPYHgj8mEHy5EyTmNcH0LYXoa7XR9nLej2WwIzvi6mN3iatTwIZSpZsTnp5F62lFr65NARsvIRXAnV/gP3TGeXeekAIBUpQLOFEX1qgLH8+GYCya/BiMx4sOba1CdIjIVDsJBqiRBD5yugJ4v6mGyRCs7YDzJzgXHsoz7gPIMNXh0v1up5BtDXTiXtI53JTvubzG8iroY74KpajXm5eg9S2OD0FYy/VhWc5EGuxF9SxG162QTtCCqtxRNyMJ8K74IVVruRLElh9AkZyeqpRLVWo30j/p5CGE/an48nVAI7KCUJeRqlvpQ06O/UZrtQi2sQCk5StBxkdAtHxvPz7P5tS68f/MvrM9uMvtCG0v/+C8MBQL8YGaG/slJ5s+eRa6sJO+xxxB8PmqKi1G8XvIUhdDuLnmhECZJQp6b4+TJk4x0dVGanr6fvB7s7mZtaopLZ85QU11NeUUFVquV6Rjg2bOMzEzmp6aYn53F43bvF18ePnaMD3zkI4bX9V7sbr1oXq82zg9qiaD3IMSoRwJoVFWls7OT7e1tLl68aKgl9lqBRlVVhoaG9vMxqdpGG9m9HHtPFLOnp4fDhw9z7NixuxIXpu/c4Y8/+EE0TePY+fOsDQywPjXFmfPn8djtzLS3c+rwYVRVxdnYiOR07udfilpbWCmqZPu6PkvMlKMgowkC2pYF8Z96ECIzOUzxOQi1qXG/bgbAI1cRnknD/C+DSCMxCeTM5Ap3taIhuRkaUGSgY+nxxec39szrh9oUFOX0FAIM80uQE4lA1jvg6AZMfA1GO2FuRKcxG9nUYGpQA2iInHdLDaz+D5BjaiVdA1CcQrUAYGscjtdC6Hvx28Xa5A8SGFtrbSib0aJHTZPI8iS3qZZc7eyuRhVFta1kt8nm6kOV4y/k7kqF3iIZEOZ7kDXjEJrJ3YW8fAbRF+81CWgQSg71CpqCSilah4Dgi9KFpelu1Mz4Wa+00I+alh3dNriLWhXlnauFRwjvHib8P0fQvnETsX8I29loTNQR826me70gishOJ6Ik0dHWxmBnJ6N1dYRycqh44gmUlRUaT5zAu7pKZXo6qqLgGR7m5MmTOFdWcI2O8sTly0iiiKZpDPX0UF5WRlFxMeUVFWQnzIYkUaSqrIyNhNbHgiDwu3/0R6+pgPsgoNnTObvXsele2zg/iBVH8k+rCUWu6+vr99X6GR4RoBFFkfr6+gOlZBIlaO7HAoEAnZ2d+y1L8/Ly7r5RjN0NaFRVZXBwkOnpaVpbWykvNxhZE8zjdPJ7730v+dXVFDY1kebx4HW5sKano4bDuEdHyS4oQBsZYaWmBs/EBDnTkYZjViuyNY3dm7qrby0rwTRyBwDFasd94Wmkf/7BvgejFeQizMf3lRHydU/Lr+bjXWnC8co82e5k4UZty6BI0Z78EqzvQrnBsze3bqyjObsCRgLb/kDqPIuRkkiDA46sw24XrCQr5QOQdoACiWsCMmMeh7JacP4VhCIhRW/qtjQA7BH0Cith5W+Tv/euQ4OBRxTuvc12hBCoyicQ/RvJKwHWlVVCgQwUxYw6difpe0ENoq1HgUTDTtZMNKwhqT62N4wT1qqpELHbWJZBWutBTjOgsC5LsB0/SArhAGpOfLJNCO6ilsYPcNJSL0phPbJwDunPBrE8/zLURV1N6+ws+323h4fJigCPPDVF0XmdKefv6KDw+HEUv59MWebWzZvcuXWLnRMnCFos1D/1FLLXS8uRI2iKwtbAAEePHkVRFIba2jjT1ETLpUs4ysu5fuMG3V1ddHZ0sLO9zfGmJs5fukRRSQkXL15k+E7y9X7P+9/PmQsGcdv7sIOA5n6Vm/Pz8zly5MiBnwdtX11TU0NxcTHf+9739peFQiGuXr16X62f4REBGoDCwsIDw1gP6tFsbW3R3t6epCd2P3ZQ6CwQCHDr1i12d3e5cOECOaniRDGmyDL//WMfw1xQwNDQEDXZ2ayNjFDQ2Mjxc+dYjlT8Hz18mLnMTDyjoxw/eRJ8PrTsbHZbWwnFUDDzj+lhsVB+MXOOCmwxxWkA2tkj8SQAUUDZnMXpbMR6dZv0gQG0hnpM2wlqACVVmHzxyzRA2EkefZdSkLbUFE9YMMWcYWYBrCmijRkpbp0qw5kcyO+G+Rf0v2PNcUDoy2sATsXV4Pkm+FYhPTWHA4C0mHOtqIX5r8d/7+oH0eCxtmVAsAeUIKy+0Ju8QsTM2ibS6nHUYDPmsPFFltx9KD49HKcGWxC87rjvc7yjhEmOHXpXypAW7hCwG6gJAEL8Y4SS1oj0/A2QspPPYfo2qiMe0KSFXtT06PugZtejzpRh+tZePkjFlB8FSWF1lbQz0VCffXl5fzYiDg1hzskBTcPh8yGYzahzcxy/eBHZ78fidtN35w69bW0EyssZcjo59MQTZJ89iykrixNPPIFUUcHNgQF6OzspyMmJe1cVRWFoYICOGzeoqa1ldHycykOHONrSQvOFC7Revsylp57iP/3u7xpeq/uxe/FoXg+bn5+nr6+P+fl5FEWhr6+Pvr6+fUo1xLdxFgSBj370o/z+7/8+zz33HIODgzz77LOkpaXx/ve//76O/cgAzd3sQYBmYWGB27dvU1NTk6Qn9jCO7Xa7aW9vJz09nbNnz97zzOFLn/oULz73HEO3b3Po0CGcPT0UX7mCZ3eXjTY9FGYtKGB+agrv7CySyUTmzAxaaSnzOTnki2Ic5zd9fQFv3THmthRCk5PYphLyJ/b4bLy75AzaD3bJ7xlEDOu1JFpV8qzXbOBa7GaXIQaSiQBSip9emoL9WZRi8Dfomg1AKAB1KRLuzgWwpetjUqUGm/8Arsgl8MxA9gGJelsKUCuoAPc3wHZAScvOIuQnOK/lRbAS1cM00iGNHqMSFr4OhXdxsKXNWzB+8ARJmRtDkR0wlIycgqYibsfPkmUxn/Ru3cuVF9cN++9IziGUNJ1qrUl2hOseBA2kidsohfE0QkEOoWbHg5kQ9KKW6KE/Of8S4pcGMbV3osYk0U09t+Hokf2/zQMDCHsMzcVF8iJejerxUHhEXy84M0Nli56b8t2+TWFtLdtzczQdP44SChGancVutdL38sukKQp3uru5/eqrVOTmkpebixwOM9LXB34/TcePkxYzsF+4fJmOGzfYWF9nYnycvp4eOtrbab95kw/+u39H7n1GQ4zsYeZo7sc+9alP0dzczO/8zu+wu7tLc3Mzzc3NcTmc2DbOAL/xG7/BRz/6UT784Q/T2trK0tISL7300n0rF7yhgOZeQ2d7oayJiYn7zscYmRHrbGlpaZ9UcD8g9u0vf5mvff7zKLKM1WKhvrAQubiY/uvXOZqfjxIKkdncjKOoiNCKzvA5cvo0YYeDKVlmd34e21gUSBwnjuHJKWHxzhTKxgbZJ5sQnFEvRMt27IfNlMwKNl0NKBsBLN6EuHwoOb4kaAa96g0SFrIC1QaD+aLTeBBdc0FZCgCqSdEnxjULphR9wgIJ5IH8dMgehfl/Andy+5x9829BfoowHUCOE8wvQ6pmmCYD7oMoQZECm/2wswwFdyEmSbu613OQeVZA6hpDI3VIxaK5cU8cQdowLu6TnHdQxGheSNg5jCjrKJjhW2FbShHH9+ygaaAEWhBnYvednEiTprpQHfHPh7TQT9j2OKYv3kAIKwgBP+qheKKByR5Fe8HjwR5T52EeHETK0gU45Vu3yGzQGR9aXx/WwkLUYJBCSUI0mVjv7KT54kUC29uk+3zkFRUx1dXFuePHsdntjPf349A0mk+dAiAYCDA1NESGJHG6uZnGkydpb4uX1dmzj/3Gb/DEm95kfI3u0+4GNK+XoOZXvvIVNE1L+jzxxBP762iaxrPPPrv/tyAIfPrTn2ZlZYVAIMDVq1cfKOfzyADNvXTZvBePZi8fs729zYULF+47H2NkezI0EG20Njo6SnNz832BWN/16/xRhBfvKCjg0hNP0HPrFitTUzS3tODs7cV67hyLCwswGhWrTMvIYHx5mcD6OvUtLajrelxdEwTCpRWsvdqOFlGGzXbEz4a0c0fRFJlA9kUCL6+TNjJBjhwPIFpuLsJyvDimlp6JsJEsib8w1pW0bHYLHAaTsPUU4bTlFDmTHRfkJHcdAFIn2gFsBpN9SYJKCQp6IWzcMwxh2Distf+9CpYCUL4DajLmYtBnTF+eBo5JENtBuMsbVuCBdDcEDPa/Z55REHdXWfxuiuY8EcteU1DMB9DrVtbQMKOZihDb4u9j5pYTTUh23yT3JFvqBaRvx9dbSVO9KMXxlbOCEkbNjspta4KAojQhTMZPEKWeLtTS6MzENHAHTkWLOs09PYh7yWaPh9y9gU1VcURYnFowSH7E89mdmKAxksPx3L5N1ZEjbK+uUp6RQZrDwUxfH821tWQ4HLhdLub7+3n80iXMkYR+QUkJ214vo0NDHD56lFOnT1NcEn0Qz164wC99+MMPrZ3zQY3PfD7fj5ygJjxCQHM3u5fQ2cPIxxx07FAoRHd3Ny6Xi/Pnz99Xp82V2Vk+9fM/T9WJE1S2tpJXWsrQ97+PEg5jMpnI0zR8tbWM37rFyepqvZweKHnqKSauXUOOxFELI7VEalYWi62tBDpiOL5mE9axhEr/TAf+9Tp4/iZSMAgNVUgr8Rx49fghBC0+B6U2HEmiNe+GodbAE3HuwqoT5pdhag7GJmFoBLybMD0LGy4IxYSQClN4Ju5kibV9yzQmTqHsQkEKcFKDYMsBsQsCyfiIQSeD6LZesETGOksRhJ8DNWZ9xQmWA7whUz7QA9oBTrjiAWuaXo+jvWK8jqZCduTalRWA00AsG0C1lCH29cBm6pCG5F3As30M71o5Qji+pam4vYKakUyF1hAw9/vRSJ5MaXLyjZQmu1AjsUrFfhHT37Yj9XajFkaZIkI4jFodz5Qzy9HzEfx+0mL46FJnJ9aIuJ08NERBJJwmTk5SeU7PTe20t1N65AhKKETG9jYZWVlsTE1xrLoak9nM/NAQR4uKyM3LQ9M0Bm7c4Nzp01x885sZmZhgYnwcWZYZGxmhr7ub1ZUVSkpLefItb+HXf/u3uXPnDm1tbQwNDbG6uvrANX2aph3YJmB3d/dHrkUAPEIFm3ez2H40Rh7E/Pw8Y2NjHDp0iMrKyoda8CSKIj6fj/b2djIzMzl//vx90Rt9u7t8/hOfYAeY6e4mMzOTYw4HuxEvqfWxxxjq6iK4s0NxWRm+vj6w2QgdO4bk8aBGHurcigrU/n7CdXVMhkKUiCJajDBebvNJhEGdSKBKEitnLpPzzTYkf3SElI5UwGhCsZXdYKaWaU5ScJ50g10E7xYI25Dhg6Ig5IlQnLDLkApyOqRFwk6apo/rfgFUG8yvg60UcqvAFImciClu2Y4TslOwKcPzYEsx4IfmdKABEFfA/x2w/RgIkg4A5hQABRAajW4LYC2BwN+C9f26GGioD+wH0J7lTUjLg8DzYP/J1MewRya29hII3ARbApknNA6OiKMhiuBYAK0ehITHb/HFJSo1PVSlnGpFChnXTqTvulAGjZVHxZlBtKJ4pWY18zyZt9uRT19AnIkvaDTN3MFb2UB6DDNRUGWUzEpUrRrTX0TaOQcDKDUtiOvRmYTU04lSVY00N6v/PTaKfOY0Wpf+/EqdnUjV1SizsxAOk11czFpE88s8N4dgt6P5/UiTk1izsgh6PGT7/azbbOwuL3OkuZnu3l6W79yh9dw5bt26xdrsLEebm9k+dozVrS2udXYiCAJnW1tZdzqZjrA698xssfC5P/5jyisqUFWV7e1tXC4X8/PzjIyMkJmZud/OOTMz857GnL3IyEGhs4fdKv5RsEcGaO4ldAZRQbo929MrW19f5/Tp0+Tmppj6vgYLhUKsrq5SW1tLfX39fYGYoij8h5/7OdpefHF/2aXGRqba2yltbETMyGC6vR05AgZNlZX4bTZm/X4ynE62YwT1aqur8ZWWMjY4iOL1kltQQKwfkmXXZ5jeyhpmsGLZ2CTPHz9tF0MJIpomCXE1eZoseqbQEJhZ19hagZwNvWDycEIkckeBGoPo5JYPimL6nAkC2IHdbaiwoUuXbIDcB+sS+NPBVKzP4BPDTaZlwKDFAICWXPQe/W4HiICFIOpi04HnImCzBtIBjDKbAcnQVgr8E/AeHXAPMtM6IIA9GxgADOSlxB0gxgEx+0HZhFhdS3UeiIloWfLAfw3sT0WXaWEo9bH/NnvbbpN2EkwGRIaAp4hQIIhNTG4fLfjdeIUzpKO7f5o5HfFFHUTE2Vk0kwVBjveEhJBBB0mPiumleEmevXCZuKwvFxQFraQQIkADYPJsERIFBFVDUBTS8vLYiWiMCQMDmB57jIAssy0IeEwm1paWMEkSUlERKysrSKJI5qVLrK2vs6qqVD79NLOrq0xtb1P7xBNcvXmTic5O0jMzqT5+fD9H0RsBnHNnzuDc2mJqcpKKqir+/vnnKY94UqIokp2dTXZ2NnV1dQSDQVwu1z7w7LVz3pP8Nxtx94lqJj4sevMbxd5QoTOIF7fcoxbv5WMeNshomsbk5CSbm5vk5+cfKIqZyj77sY/FgczFs2fxeTzkNTfTPziI2e3eB5ny6mpCosjYygq7y8tUFxTorgAgmky4TSaGb91C8XrJKCxE7Y9mkUW7DfPIIMtnrzAyu4J/dJS0BPKEVpiHOBufd1GPH0PwRRMEmiAhl14i6C5n6wWN2g44PQe1Pig1eP7nZDAZPEWpxn9/QijJJEChCiULUDYB8j+A/wcQI6llELSJmvmAW243+M5mA14FZg/YKZDUfGfPsoC/B+6W+tvLTwnACpCYl9oBa0IoXsqA8LXo32oArAbjkdUOckwNXXAwXunakQHh7uTtFNGOtX2M3IUx1HRjN9A2P0CAbAB2vUcQ1nSXVHStoFYmh9bSVidRyqL0aG9mJaav9rBji/9xQjiMWhZ/TKmnC6UhKucgzUwjno+qJojDw/jf/GZmTp/mB6LI8NIS127dovPGDebb2tiVZWbGxpi8dg17bi5TY2MM/eAHWDIzudPfT+9LL5GTmcn0yAh9r77KmaYmbDYb3p0dhjo6uHjmDNnZ+m/VNI2+ri6WpqZ45zvfyT88/zwVlSkqitE1v0pLS5PaOc/Nze23c56ZmWF7ezsut7M3fh0kQfN/gOaHaKIoIgjC/o3ay8dkZGQ81HzMnsmyTF9fH0tLS5SWlj7Q/r/yR3/EN770JQByi4s5ce4cqCp3hocZ7e2lprYWTyTpb8/Npbi2lv4bNwj7fDhyc/WWtYCpuJisN7+ZuVeigfyaw4chBnTtzacYLall6dXraIEAmM3kzcdTXaWWQ1Fl5z2LuB1qWjmK6Qra7Tz6/+4Gtu90kxuTElvWoNhghpyVwidOdblS9atTIrRmswD2LTDfgOC3wH8DTKnAZPOA77YhJUlLAAaB5P5sui1iRKqKmgu4dsD3fuLR0QrcYr93D6ADncHbZysBIlEvcQZEg+srWkGOKb0RDISjrWkgJ4Dbcpcfy+4ughJm5WYKdpoSwGQ7hmwrIf178QWL2tgwmjn5wgjeCEU+LQf7DRkpECZrdBRfaTKwyBVRsoCgaZAVn1MyLy2g5eXhunSJa2lpjC0sMNrTQ8jnwzs1RXWkWFJTFNLDYaQIOWB7aIj8SKH0WlcXdRHJmZmbN2mNbDPe3U1Tbe0+uAx2dZFtNtPcHFXLftf73scf/fmfU1GVooe4gYmiSE5Ozn4754sXL1JaWsru7i69vb20tbUxPDzM2toawWAQSZJSTlh/FLtrwiMENPfiKewJa87Pz3P79m3q6uruKor5IObz+ejo6NhXdrbb7fddw/PyCy/w/e9+l4azZ7EVFbGwtoY5EGA4wlkXJYkiRUEymym9cgVbRQVTMUBSX12NFg5jPneO8UAAEkAjbSkamnBfusSmouHtjw4MhSdOICQUborm+ASmKplQd2woGycRvrWE9M/XEdfXyTSoiVlNAShZBoN5QIY8g7CUKkNhtvF+RINIg1UFcQhM14FeIJSwQgpNNCBJWTrOvIAFHWyMkut3k7Uzo4PGdIrv/SS/WenontSeHdQDzQ9skqSMHGu2Igh0QnjZ2OsRLRCOkbLTFCiO8YLKMmEjWfUGAGmqE9bqEEPxz4tpZwtnRjKrTVwYQak4jbpRjTil71TQNKwJPRsERWE7oemP1N+DEqmj0QSBnYpK+o4d49aNG3hdLnxjY5Scj/bP2e3uJjPSaCy4tMShSIFnaHeX/IwMJJMJJRyGtTVyi4vRNI2Fzk5OturU7tnhYSqysiiJ7GNzY4Op3l7e/NRT/MEXvsDnv/SluLqaBzEjb8disexLVKmqaujtgE4G+FHrrgmPENDci4miyOTkJJOTk5w+ffqhJ/0hKoqZl5fH6dOnsVgs910seu173+NXfvZnabt2jZ7OTjbW1njT5ctMxYS6rpw/j62wkGBJCbevX6dIkvYfurTMTMS5ObZbWui/dYvCoiJ2h6NssuIjR1Cmp1EKC5k+fZrpgQFCvfHV5dkJMWIt3Y40o488isXGZu0l1qzHMP/V95Fu9+/L1ewIUGvgdZQYeCieMDgMlrv8xrpjoV09EZ9oqgzmrOTlEBlEFfTuBC9gDDhGdlDJlYbucQjAJJCo8H/Q/lVgL5c+CRgx5dwptjUDC+hxxYPmRhZ0D+gugGeTwZzKKwNseRCMyNwEx8CckE5xpABjLacOYdSYVZW3toBiTZ5d+LbSEV6Kfwal7m6UQ/EU6JypcYJV1XHL/KiEiosZOtJIR1s73v5+XQUgYqHRUSyRWhrF76cgRmfL1dFB8WG9eNQ1OsrxCCjtOp2UZWVhtlpRFYWNgQGOndRDfKtzc2SEQtQ3NGC2WPi5D32Iz335y7zv3/wb4wvyGmzP26mvr+fs2bMcO3YMk8m07+3cuHGD4eFh+vr6WF9fx+fzpWxZ8lrs937v97h48SJpaWn7Ht3d7Nlnn00S6DwfA/r3Y28YoAkEAoTDYXw+HxcvXnxd8jGzs7P7ophHjx7dj6Pej3pzZ1sbv/y+9xEKRUerU01NjN/U6xBESaKhpQXP7i7dXV2sz8/TeOIEqz09++sfOnOGWauVxciyioRaoNK8PHbOn6cvHGatu5vCujqIOZ5oNmMZjqc5i63HUUUzrprLLKym437xBukZyTOnWZueN4k1WYM8g0nedopLkpviqdJSrC+GjUNESRYLOD3EJdLjTIVImsHYEtUHeol6JwEOTgr5iAKAhp7oj/VOVOJaLyTZNDrY3G1+ZAIMZObizAwcUOwpCCCs6t6MYKDqbs2AgIFXtvbcGGLXLZxGtUO7Hig9FbcskFOF9Dc3cdUbNB0yWeL+FDQNU2788xw0W7ialsVSRP1b2d7GEZO7kbe2KIppHezp6SE/UtSpKQrpsowUmVit3rxJ9Qm9Jmd9bIxTkbBYOBhkZ3KS+oi6gKaqvO2ZZ/h2dzf/8Q/+gNz/TUwvk8mE1Wrd93aOHz+OxWLhz//8zzl06BCzs7P84z/+477n87DsQbprArz1rW9lZWVl//Od73zngY7/yADNQZ7J5uYmN2/eRJIk6urqHlgkLpXttSiYmZnhzJkzSaKY9+rR3Onu5gPvfjd+X5Q+mpubi7C5SW5dHYWnTuHLyCBNEOK8m7wIfdmWn0/2Y4+xMDjI7rIegkjPzsYf462IubksqCqDHR2EIv3LbZ74ESGvqSmq2gyEsrNxOwqYn9HwvNSGGlGntO8mFwAqBpfWKYDFYAYupci3mFIAgJQqIpHq0irog6nR8gX0Wb8RUzdI6oFcxZipMIweRts8YFuIY4Dtn8t4zD53wEDYOt76uHt4bhG9WelB5RprkeMdAGyWHBB6wJriGks+HYj2LLgGJW4dpGS38TbicC9auj7R0yQzjFkQQzLpXj9qQhhb6u8neOhY/LLebpQjuqezde4yPb1D2GQ5zg32376NWBrlj293dJAVSxxYXkaKzPy3p6Y4FKmn0VQVVldJj8za5zs6OB0RgJTMZk61tvI7f/3XfGNsjA9+5jOU3Ucu5mFYrCpArLfzZ3/2Z3R3dyNJElNTUzzxxBOUlZXx5S9/+aEc9367a+6Z1WqluLh4//OgE/xHBmiMbE96v7u7m/r6etLT0x9ade6e7SkJ7IliGrmV99L4bKC/n//ymc9Qf/Ikpy5f5uTly5y4eJH6hgamnE5GxscZ6uvj5JEjTHdHKUGtZ8/impoi98oVZoJBbIqCdz2qqHu8qQklwkoTLlyApiaWYxo0WXNzsc7Ex0+yIxl3OS2N2cuX6QJ8bR1oMX2+RYcDU4LXowENBqGwkIEemKpBngGghANgNgAUOQiWVHTiVN6MUa4j1pzAd9AH+tiBO4VeGqCzyVIN8pMcmBcBdCBKNBe6p6VxcEgMwIZOQjioIacaOY8wYJyz123P+7pbD6pZUoYSzWkQiPGctBhSYrEZAga/V/B7WRjVv5ALzkF3hAI9P4/cmtxrJ7RrMBuw2lg8c4nbr7SBqhGYmiIrJiwjqCpZsQK1qooY8w7KLhfFR6NhOVdHB0URIPKur1NbV4doMlF99izHr1zhd777Xb40Pc2H/vt/57Gf+AnMd+kT9XrZQcWatbW1KIrCF7/4RZxOJ1//+tc5ffr0/+YzjLdXX32VwsJCDh06xAc/+EHWY8am+7FHpo4m0RRFYXh4mI2NDVpbW8nJyWFjY+OhtnPe67SZn5/PsWPHUpIKYiVojOz6K6/wb376p9mNGcgBLrS0cCcmJJabm8tOTE9yURTJysxktbCQyevXdZmdGNAQBAFhZgapqor17GwW29s5d+JE3IS85uhRiFFyFkwmzJOTLF66xPzoKOG2NvKbmtAG4oW5Fra3qU74HZtmyDO4BBkGwBEOg9XA25DDxk6IaS8nkrQByV7CnuUQpQknWiyY3EEPSZ1HD5mlk3qWfzdPohOoBapJPl+RZJryni2gs9xSne+eSeiANA+kUhaIPfcNdCp1Yg5LIxru09A9O6PQfhBYjnyXokDVrOlU6vAW2BJICuIuaNnJtU0ldlhag+x/aYvDVmViCtVqRQxGn9LMuVnCLc2YB3TPXBMEhr1BNrbia7z8Y2OImZmokfcoNDREbmsrmxECjTo9TWZjIzuDunZfoLeX7Lo63FNTaLJMpqYh19dT/fjj1L3lLfz8lSvYHrHE+kE6Z6FQiHA4TEZGBhaLJU6D7Idhb3vb23jve99LVVUVMzMzfPKTn+Spp56iu7s7ZSvqVPbIAE1s6Mzv99PX1wfAxYsX90NlD6vLJrDfMrqhoYGqqqoDQ3cHHfe5b36TX/3AB+JyMgCnGhsZjwEZgDOHDjHR0UFWcTE5DQ1k2+3ceCkq9Xvm7Fk8N6OaUhVHjuDNz2e0sxN5bo7Cqip2Enpk2NbX9yermiAgPvYYXaOjBGPAJ9uR7EoYsY93bcnlIbsa5BqsrKa4XEIKeZmUnkkQHRiMLFVSXiA5ZLYLfB84R/KgHGsHAUE6uhc1hH6+lcSDzd0evTV0IEt1DSDqycjoobojBuskgtkMesFn7PiUyFpbQC9qTbwvy+hA5EW/1gbjg8kKrGLIorOYwO8Ee4I4qCTA5ijkJQQYhLU1ZgWoTRhZpO3dfQ7G0ukLrF67iVhRgSYI+0QU2eUi4+JFtmPeAdbWEMxmtEh42bq2hjctDdXnA1XFEgphLi4m/01vovZd76Lm0iXsdvtdmw7+sOxuLQKAe66j+fSnP81nPvOZA9fp6uqitbX1wHVS2fve9779/zc2NtLa2kpVVRUvvPAC7373u+9rX48M0OzZ5uYmfX19FBYWJnWpvB8F51SmqipjY2MsLy/T0tJyT6KbqYDmb/7yL/nEr/1aEsjUVFWxOh4vG3zm9GnCokjWyZOMDgyQ6fdTHfPbRFGExaj6o+3UKbZDIeavX99fVlxQgBzTqzuvthY54iH5W1qY2d6m2u8nuBzPWxUnJ+PSBgpg0NKKNANAcZuMy1FEg1yOpoEtVQg31QQoH2PNMRHj/AtAEanpwfPAOvC0wfYiB9OebTnsc6YHgIxsyHNHvw85DjgwIOZAuweeskLI4EdZ0cN8e7aG7mXEAmMayWG1IDroxt6fqYR1ApFTT7z+say4dVJ7Ubtg3cHQ6zQFIoSCmPHRuw55Pj2SmHjIXA0CKthixnpxcgLl3DmcZjMjr+gKyerCAo4LF9iJCQXvdHVBfj449RsVXFig4PJl1iOqyuGNDTKamtgeGKDoqado+MhHSD9/HqfTyebmJp2dndjtdnJycsjLyyM7O/s1dcN82HY3oBEE4Z5ZZ7/6q7/Kz/zMzxy4TnV19f2eYkorKSmhqqqKiYm7sVSS7ZG5A3v5mPHxcQ4fPkylQVXuvSo4p7JQKERfXx+hUIgLFy7c8w1NZJ25t7b46Ic/zD8/9xyCIFBaXk5hUREmsxnf7i55GRmYKiuRZRmvz4cqyywvLeGMaYl6vqmJyRhJ8tYzZ/DcukXW6dMs7ezg9XhIjwmjiSYTSgJ4lZSWErJamTeZWO/pwWSxEE6IoeYePYo2Eq8GECbZo/GLkGcQts636gCihEAO6Y26ZD9IFpAjhYK2dPRZswpSVmTnNnSarllfTir+Rqpk94OWRmno4aavAz9JfGLekQUGrQ/2bTWBJdDuhks5kLOlC7HNH6yezIhPH2F7NWiSdM2eWHNkg+aOX9YPXCE6wKcC1wHgAvosIQPjXNESOhNvz6NSiMfFIDrYGoUPp9C9QoNIk9kE/nVdjw1ACYN3Qd+VUcbUBiwrUJvgVAzcvMWKGj/o+CcmEDMyUCOzeSEcxlZRgd8ZnRF4e3ow5eYib+o/uqCqivNf/jI5MXL12dnZqKpKKBTal4YZGRlBVVVycnLIzc0lLy8Pq9X6Q/V27tZdMz09/Z7PLz8//3+rLprL5WJhYYGSkhQx2APskQEaRVFYX1/fz8cYmSRJD6yaurOzQ09PDw6Hg5aWlvua5cR6NNdffZUPf+ADLEcKJjVNY2lxkaXFRbKyssjJzGRyML5t8mOtrYzEgExdXR3TMbM4AbDb7TgbGxmNEAUutrSwGQM05YcOocUk78XqauYVhcUYEKk8cQIlpokRQLaBx2YU2dm0QZmgF1su+0AKgi8IOSZdSyt2oisCscG4vTtidqAn1BPtMPqsvRQ9PKVFPiZS17vkkTrMdZBX4rIBAX0w/RbwuEMXAgvIEDqATmY3w4zBKH9jCx7L0ZvMhA/wZvLToD+y/UoAihyQtx1/4ZYMJkkaMGyFJll3G0YsGMYMNXQwqCZ1oaqK7sHskSYTvR7Qw3KJr1cAneUGukdlMA6aZb3eSTTB9gL7YUQB3SFNnLjkA14V0iNj5oIKq6qOo7HPjux04rhyhe0Yzz3Y20v68eN4hyIVpz4fpupq5PR0Mv7dvyP3bW9Dys9PEtgVRRGbzUZZWRllZWUoioLb7cblcrGyssL4+DgZGRn73k5WVtZDL/a+mymKkjK/sbu7S1pa2kOvDQRddHhzczOuuyZAfX39fqjuyJEjfPazn+Vd73oXu7u7fPrTn+Y973kPJSUlzM7O8p/+038iPz+fd73rXfd9/EcGaEwmE2fPnj2QVSZJEoFULRhTWGBnh+/96Z8i1NVxpLmZurq6+76Roiji2tjgU7/5m3R2dODcSKYmZWZmUpCTw0JEBHDPnrxyhcGYlwigKiODuYhoYN7Ro2SkpXE9JldTUFyMOyEXU2IysQNIFRV4yspQg0HcMWAF4BDFJMKVq62NxN5bsXOgAHo0ZysAcwvx+WQrQDg5mpKZjh7zTzAxVaLdjx7/32NpW4AG9AExG+Pch9GMHfQZd4qKdnKtMJlwBa5uQ4UV3myD+VTuAjrjIdHb2LNrW/DYXWaOZitx7kjfNrwpJhRnM8HtFMjpDII7G6plWDvAa1oDytAJC6nMBdSjX+PZFN8nAs12wv8N5nkmCXzruhBpYCP+mTACGgtRr8ajwYiib2NDn1vEDjyu69fxklD6FEu+kSRMra1c/P3fZ8fnw+l0Mjs7iyRJ5OfnU1BQQG5ubtLkUZKkfaFLVVUJBoNsbGzgcrkYGBjYpxfHCmG+3t7OD7O75le/+tX9v/dkd1555ZV90kFsd01JkhgYGOCv/uqvcLvdlJSU8OSTT/KNb3zjgZQLHhmgAZ0QcDeguZ8cjaZpLKyuEi4spPvXfx3153+eko9/nPT74IIvLSzw//+DP+BrX/3qvjflyMqi5cwZPG43I0NDZGRmUlZUxMxk/HT+8KFDjN26Fbfs3NmzqIKAo6WF0Tt3mL51i6aYSmeA4w0NrMZ4QHnl5fhcLnwXLzLe2Ym6sMDZc+fixmJLRgbBBHDaRh/PYy2IPjnuQB9zRPQBoNhIrTjFNRGM6lBEjOtTjJhaIfSEuwS8CLQAp9BdIz/6lDcVi7IwG5bdxt/l2o1PYiEIL4rQnAaeFAwD711o8y8A55ogYNBWE2DWQZKr8aobfiwTQjuQmQFKivMG6HWDOQ89fnWAubPBGgD/AROuCXRASmXL6N4l6IgQy1nZRQ/NGbi9dgHcq8ZkvL3NYq0QcKnQr0RDbKbIurFejRmdaJcds8w/MsI8UFVYiPhbv0Xrs89isVhw5ORQVlaGqqpsbW3hdDqZmJjA7/eTk5OzH05KHLBFUcRut1NZWUllJKy9tbWFy+Vibm6OkZERHA7HfogtIyPjdfF2Dmp6tru7S3p6+uvi0XzlK1/hK1/5yoHrxI69drudF2PEgF+rCdrDLkx5DRYOhw+kES8uLrKyssKZM8kqsokmyzJ37tzZ7429cvs2f/bOd5Ken0/WxYtUnTpF85veRN2pU3GzGFmWudPdTcf169xqa8MfCHCruzuJurxndfX1VFRWIofDqJHmaAGvF7/Xy6HycmRVRTSbCYTDBPx+2NhgIyZZ/9jly8zF5GrSHQ5qFAU5olMmlpSQXlaGq79/vy9NWlYWFYEASgyFtOH8eaSOjrhzswB75Wi76ONPGP2Fjn2UMzAmfhWQHEWxWCDNYKyWKsFsIO5IMcaUYIFkOrAZeBx9Rr6EcQKgPAtGUuRZSh0wmCK81ZADV7fgF0/BVl/CuYiwlgYGBawA5JdDx6KerPjxWvAl9IfOzIMbLuPzzcqCCyYIFUBXiq5loNO41qxQqYDvoPBwpn4ztdT0Oc0Oigqm+ZSrQA36zfUANxO+K0B3ZxPGu5AAy5tgM7hMGnp0NNEfaCPZYVXRvRpbwrINdJ7Hng2gd2XYo1W86jVwoyPmi3g6e6QAm8227+3k5OQc6Kmoqorf79/3dtxuN2azOc7bkSTpoXg7vb29FBUVURpTjLpnf/d3f8f/+B//g46E9/hHwR4pj+Zudq/0Zp/PR09PD1arlfPnz2OxWMh88kne94Uv8LVf/mXEzk6ev3GDr3zyk5QfPsxaZHYjShIV9fX0jYzgjmkolpOXR9WxY4yNjSHHHL+uoQGP283Uyy/Hn6cocralhas349/gN1+8yGCMIkBGRgabCYn6Q/X1+Hp6SG9qYttkYmF8nBqfbx9kAIorK1ES6mIyQqEk8lYGesH7OvrLLqCnPhLnS0ZUZwnjfLzFjGEKQUpF6U3DGGhqSKbThtEpyk4HBMLwhAWWt/Xq0D1bSDHYiBjnWPZsswDYgq/2wbubQB2OJutzqmEqlUImYM0HFiEsw/cW4c0V4I+ppHSUg5aiwMbjgblD4DxAlAygogFujkO+g5QMiRwLfHtHH5WfyYJlY8DVckH+RxCbQEzFfVhBz/cYheE2gGPETQI0YM4JPr9ePyUknKKAHk2NDap4iEblYicyIvovtCUsi51i9gDPJSx7IsZLSQSdtLS0fW9FURRcLhdOp5OhoSFkWSY3N3ff20lUFhFFkfT0dNLT06muriYcDrO5uYnL5WJqaorh4WGysrL295GWlvbAoHM31tmPonIzPGJAczeX8V5CZ06nk/7+fsrKyjh06FDcA3H+F38R59QUL33uc9TW1CDn5bE4NkZeWRlKRgYL8/NsbWxQVFJCeXk5g5Gk/pbLxZbLRW1VFZaMDAaHhjh99iwDEQZbol2+eJGuGC8FoLWlhcEE4Dnb3MxUTP5GstvxCwKuqipGIkBy7tIlNmJqYgAyvN44cpLF4cAfEzZbQx/bM4iCyt6/qUAlcTKek4FhFMeUwuEU3MbLU9aUGPM99JMZ9eod1Qb8cMwGb7LBigcK02A8BdCU1MJACrCwWGEsZqD/1gA8dRjyFiDoA+GADmgAazEjrtcHN21wPg+CEXBZv0veULaAeBRdeyaF+SKD361teKYJNgxCdI50UCPP200fHDOBL/l9kMfsEPQjK7pXa2gBCJv0JL+hLaDzliP3O6DpPx3Aa4YMAyyU0Sc0UuT/e7QUW2Q3sUPzXpovdlgtQRc5mAG+l+q8I/ZEwoAcCzySJFFYWEhhYSGaprG7u4vT6WRlZYXR0VHS09P3vZ2srKykccdsNlNUVERRURGqqu5v73K5mJmZwWaz7Xs7OTk590UsuluO5kexFw08YkBzNzvIo9mjR09MTHDs2DHKyoyD1D/+mc/gnJmh55vf5EhDA0OyjGtpCUdeHoePHmVsZISNlRWk9XWevHKFq21tqJHo4uLcHFl5eTz2xBOEZZmc3FzWYnIpAI9fuUJXQvLf4XAQSKhtyS8oYLGnh/SCAhx1dSy7XGSlpzMcI08jAHJMOwDQ2We+RJpzXR3BqSlmtrfZRH/ZjTwXg2gINowjPhY1mQUrCBjKu4jZemvnJMskdYOxVASuwxnQH4NwwwH9c8iC+vY0BMGLYMipPQAsSqthdix+2ctjcKoCjttgNRXzALBnwvBs/LKNTRgsg6PpIGnQa0TvirEtFb7XD+86Ai6D8JnJBDdiQPLaDLTm6D2zY60n5uJvhsGUTaJUtFaZjvo1fdBVe0H5MQfSdPLF1tJg+QdQXAdWo9PfQc/zeEEzw2xMzmzXp/cbkhJcaIFo/mWYaLYsgB5WS8Q0gWQAEjm43jaVpfJ2BEEgMzOTzMxMampqCIfD+6Cxx7zKy8sjPz+fvLw8LAnSNKIo4nA4cDgccd6O0+nUIxyyTHZ29r63Y7PZDvR27kZv/j9A8whYqjoaRVEYGhrC5XJx9uxZsrJSP6qCIPBzX/4yO04nE6+8QtPRo/QpCtsuF7ZAgObmZnp7e1EUhf7r1zl36hQTi4t4AwHK6uoYHR1l5dVX9/dX39BAYXExTqeTXIeD2wmeDMDZxkYGb97EZDaTV1ZGZn4+5YWFLMzMMDE6iraxgdliidd2Ao63tLCVoC5QUlDA1h7QmEyYTp3iB7dvJ72cRp5LKckvu5GjLqBLkiSazY5hnYeUiyELjTr0pH+ipQGzAoYQl53CBRoPETZlIaSnYz6iIqwkJCA2D6iPEVN0YetbgEAlZB/gJedVgTKYvHxmCTLq4bQNwgbf75nFAjen9WKkV5fhXC74EoCtoh5uxADQ9i7sHAExBmhKK+Fqwm9+1Q1vy4hjqimB+Osnj4UQ7QKCHH+tg2Wg9IOzWH8uDGMJ00A57GZCMMFZ3NF0QEjaTtRpzIsJi70k1+zaiA+3rRBlrv8UeiPTB7GDvB2z2UxJSQklJSVomobH48HpdDI3N8fQ0BAOh2Pf28nIyEiiT1ut1v3tFUVhZ2cHp9PJ+vo6k5OTpKenx9GnE72d/xM6ewOYkUcTCATo7e1FEAQuXLhwT8rOZquVf/u3f8vnP/ABwh4PZ0tK6Lh5k4DXizw4yIXz52nv6CArPx9ZFCkoLSUbGBkaIpwQupucmGByYoJzFy4wcOcOtghjxZ6Whs1mo7yoCOfKCqayMtZWVliZnaUxPZ2r3/1uHMvj/JkzzCaEyByqGjeum61WvIODmOvr8RUVMTU6ys7t20maZTaSb+werTTpWpA83GfZMazWtxRi6KGIqdJmqcJmRx3QncKl2TBmhWkZdrThWbSwTPCWiPn9JxF9kwg+L6Slw+wBme95o6YxEROy4OoCPFEGOwZKlwekfRiYRMm8dHBtaWUddETycJvbsFoPWe74ngk7BheqaxTecQLWIyFRLRdd9iDBRhWdr66AliYhvxgPuNpsAOVtOZgmo6ClieCKpAqD47DbApnx8xndQqCaYM7ACQsEdEa4KXGCIcGknaSJh4w+v0h8VCyRZU50FZxYey1gE2sHeTvZ2dlkZ2dTX19PIBDY93ZmZ2cxmUz7eZ1U9Om97WtrawmFQvvbD0VqgPa8nb1i0buFzn4Um57BIwY095KjURRlv1Bra2uLvr4+8vPzOX78+H0l6NKzsvj4X/wFn3jmGbquX6f6xAlWQyFC4TDr29ucefOb+d6rrzIZU6FcXFxMZV0dnbduxQHOpStXuBEJl3m9XlyRberr6+kaG8MX83BbzGZMfn8cyKSlp+MajX+bK2prWY249gD20lKKm5qYmZ5mZWICIlTq+IYGuhk530ZCOyaMw2Z2yXi5YFQoKJG60VeqehdbivuUJcGY8ciuHq6BjkjBqqIS/ut+KM/B8o4aREGDRSPXCcgtgEEjOlzEvCqsu+FlDZ4qh52YubggwlhqaWRNFAl/+w7aY6cwufpS7D/hFeudhGeaYSdSVGQ2x4fNYu3VSTibBz43XJ01XmfGD0dOwVofWlkmeN1Jq8hXPUhNVoRNPZglH8si+FwUkDbnID0NRINLvxEGNQND1rhH1NM4sW/tpAmWvFBkBX/CNjvoz2ZsSNaMnlNMBJk9e1hgs2cHEQpsNhvl5eWUl5c/EH06dvvYYtHl5eX9YtG9nI/NZksCHK/X+0BV928EezSV51LY3oxCURQWFxe5ffs2tbW1NDY2PhALJD0ri997/nkOtbYye+cODr8fNRxmYniYW9//PnXFxdTEaAWtr65y+8YNyoqKuHTxIna7nbMXLuyDTKzl5uYi+P1xIANw8dw5lqbjB5YzLS3suOJZS9XFxaRVVeG4coXdw4fpXl5mZW5OB5nYa2Lwu4wCRUa1yKnmToKBU2HKxlARWToMghE2lJG6FmYxRfK8IR0UY7a9ajGY9S9uEfqzQXxbWWipaqPykmmk+yaJMDir/9/pge95wBEjfVRUA54DaMTltbC1g/ztfpSio8krSBLcmk1e/p1+yI1UOJXXgzsFwWHHB1t5UNkAK+7Uv+PlIcgpQe5NEd/3qYRNUU9/ay7et1Vc4G5M3Ai0PBhc0pP/RhbegVBN9G85Hcb9+iQlKCRPViIqRXG2Q2qQ2bOfusv3D2pPpKfHfWJNFEXy8vI4fPgwly5d4uLFixQUFOx34G1ra2NsbAyXy2VYkrFXLHro0CHOnTvHxYsXEUURSZIYHR3l5s2bDA4OsrKyQjAYRFXV16W75uzsLB/4wAeoqanBbrdTV1fH7/zO7xiSmGJN0zQ+/elPU1pait1u54knntj30h7EHimP5m62NwMYGRlhfX39nkUxD7L0rCx+9/nn+cSP/zgT3d1k5ORQW1vL9PQ0G4uLWG02nrxyhVevX99/cVaWlsjOzeVwpAtnc2srYyMj+6BiNpmoKytjNIGCXFVVlVTA6XA4WI0wxtLy88muqcGUkcHQ/DzLc3MQEdFsOH6c1YQbbTS0GimImDEmzGam6aSrWLOYwa+CmguyCRQTyJIendrJ1HPfkgpiBkhhcOSDaQaExLhcKcZAU2qFuRRAI1Wja/4nmzqbejjavTbObihM3o8dQ5oYTvjygBeqqhZmY4pst3bgRQ1+rBq2Z0E8OIyhSJGBXdMIvziL8GQ54laMR1RVB13jyRuqKtxwQrMDPHcpCuwZJ5RzPjV7DCAYRgkVovb1p1xFveFBeToTQdLY/W4yndDTB5kl8bVQa7Ugd8H2KqRXgmoQufMsQkE6iAHoiLmtWwEoS4fdBAz1EiUGmIGTGIpGJ9nD9myM7F7p07Is7xMC7oU+LQgCs7OzyLLMpUuXkCRpnz49NzfH//yf/5MXX3yR1dVVamtrk6R1XouNjo6iqip//ud/Tn19PYODg3zwgx/E6/Xyh3/4hym3+9znPsfnP/95vvKVr3Do0CF+93d/l7e85S2MjY09UHjvkSrYVFX1QC2zUCjEyy+/THp6OqdPn36o6L/rdvObP/ZjTPf3I5nNFLe00BEDCuUNDax6PJjT0sjKz6cnQVPMbDZz+OhRnaGSns78xAS7OzvsbG0hyzICcLymhvW5OTLz8kjPzsaemUl5cTHurS2WFhdZWdBrM568dInxhHzN+TNnmO/qiltm1BuwkOS2JCXEzyhUAAukWfRUjE8DrwLbMpTbYNOA1lxRAtsGEaiCaggsQnYRZOfo8jRpadmYMyVsbVsIgYTZ3sVsuOk2OHOgsACWkuV91IoiQtPGeRa1tpTt6WiMLus9J7FtjCIEg3rHRrdNp0kZ2ZFT8L2+5OWZafDjxbAZgpnEtHbUguFitBgAFCoKsBwJIvgj+afKk/CPqQd/7eIxmJhB2DGSr46sk25nKmCl0mHGspK6K5vz3AnksEZ2WwrlAkCoteOvMbP5A+P8WNoJKN5LCeXDy9u6kCqAtQCydzHM3TmqdM+kJyHKaDVBuqoXj8YtRweZSqL063sFkdcbbFJZqmLRWPq00+nE4/GQnp5OQUEB+fn5OBwORkdH2dzcpLW1NQmEVFVlZmaGz372s3z961/HZDJRXl7O29/+dt773ve+Lj1p/ut//a/82Z/9GdPTxhCvaRqlpaV89KMf5T/+x/8IQDAYpKioiD/4gz/gl3/5l+/7mG8Yj2ZPFFMQBBobGx+6i+kPh3nrb/0WP/jiF9leX8e7sMBTV65ws6eHsro6wqJIvt1OZnY2vTG5kz0Lh8OMDg/TcuYM/5Ig3ZCekcGRhgbm5ubYBlY2NmBjg+rqaqYGBwnHuLHFJSVMJwBKYVkZc11dcbHwVDNcIypECF06bAc9nbIN1JnAYwAoShpJ9TMWG+wYjPP2QvDN6v/fXNI/AKLVgygJCIpGydEMCvPNOHZlTOPeJPbTvlUWw5Sx16JWFEMKoJErCiEGaDz/0E+gsZTswxKCaIHFA6jHcynUOXd8yJ1+5Gp7ShketagUrS0+CaUtbBAqqMOS4UXQVOg6qDRfH8S3Gw6T19OXcp3w0XrklwZYLW+gYmXDkB2mpdlY6JpAM0mk52djdrqNzzmosqSIhqFVAN8d8LVkktazw1qN7s3sWXADtLMgGBR4+oIwZlBfFZQhLwO8Cc9TED23GPsM36vH8r/DszGye6VP76lHO51O+vr6UBQFQRCor683DO+LosjCwgLf/va3+epXv8pP/dRPcfXqVb7zne9w7dq11wVoPB7PgS2ZZ2ZmWF1d5emnn95fZrVaefzxx7l58+YDAc0bIkezurpKR0cH5eXlSTz312qapjE7O0tfXx8tZ8/y2eeeI/foUYaWl7na1kbD8ePMLC/T29fH0J07dFy7hlnTeOzKFXJjwnYZmZkca2ykM0HoEqCkuJix/n7cm5v78VwBKMrMjAMZgKM1NcgJy3aXlpIGGKOA4d6rEEBn8Yyiq9B3AoPoxXAe9Fi50QCakQEeg0lzQWE8SWrPspI7Oej7acxA9akoQY3Fvl16vr/Fqx07vOLXmAxr+M81oaUlnEFZkfHOANWfOvwV3k72VoKDy6y9sIrXVpxyO/LyYDy1t+ItL2S1e41gmfGPVDMTpUp103qmkK3HobIallLJLOu2o4o4rw0RqE3dt97t0TPqvt4J3OdOGq4TOHEIedeP4t5ltT61yJm7/ijLt7ZRK1N3R3S5ZZRyC4N9yd9t9IKQmPISYETWG+QZoeDKLtgTDleIcX7w9crFPGw7KLdjsVgoKSmhsbGRoqIiTCYTpaWlLC8vc+3aNTo7O5mZmWFgYABVVWlra+N973sff/zHf8wv/MIvkJaWxtve9jb+5E/+hE996lMP/dynpqb4kz/5E37lV34l5Tp7OotFCRqMRUVFcRqM92OPFNAkxiU1TWNiYoLBwUFOnjxJXV0dJpPpNTc/2zNVVRkcHGRmZoYzZ85QWlqKzW7nc3/zN/zfv/VbaJrGUGcnDkXhVFPT/na7Ozvcun4d1e/nscuXaTh8mOLiYu4YeDqFhYXsrK8nJQwvXbzIREIOp6yigqnO5Cmj0UtpRaeFetEVQ2Yi/+9Al+8YR/diykhOwFoEcBmEQIrzMaSbmVJNflJEfEzpxnkHe0MtMze2aXtlgGt+WGxtInTqEJok6dNiA9NMEuqIMfNLS7MRHk4h7RIIs3Brnvm6E6hmA8e98CDVSfB5A6geLysDbkJFyYQCZTF13Y7yvTsEggeQECLn7uyZRAuFWXIGUe3J0K8V5LB5O5pDWu8cI2QAyGvOqMvg7hhi54wBMcFuZaJ/CtWv4ipIPVkLT/uZOuVAMYhga2EIJM5wKnXHcHMDsgzwUgNCMaNMbnrKjtLAvYHNow5ImqYxPj6O0+nk7NmzHDlyhPPnz3P58mVKS0txOp285S1voby8nGeeeYb3v//9vO9977uvvMynP/1pvdX7AZ/bCeH95eVl3vrWt/Le976XX/qlX7rrMYzG4wfNHT1SQBNrsizT29vLysoK58+fp7BQn0E+rHbOwWCQzs5OdnZ2uHDhAtnZ2fvfCYLAR37nd/jsV76C1WZje2uLpYEBzp84keRyaoKAc30ds8XCpStXqGuI6iXb7XZy09PZ2Y6Piefl5bFgwOBoKCtDSQBRK1GJGA09DKYCY+hp83H04jg/xuwdI8WY6jQwimBpBmO9aIJdg4Z6pjTwpmi05582RiBTThQyQ94AI9cGuHpznA5HDs70NLTc5Op+7WiNzr4yMOVYNQSNc3pacS6B8QU2X73DVEYl4Zj7C8Bu6smKmm4jMKjHr1XXNiuTAcL5UQ9Gc2SjDaWmPQPMdk+zfTxROztq8vE6VJ+ePQ/PrrJam7xusKYyLsGheQOspGXEzQXU6lI27sTH2pcW11Ey4gNk/tOH8bt1Bp27e4fQBeOiZrHQQudNN1KpsdfjHgApMucSM+BWjAe8sAxWg1nRpl9Pe5klOFsNdS2Gu963NxLYJOZuNE1jcnKStbU1Tp8+jd0evQ979OczZ87wD//wD/sNGF955RXy8/N5+umn2TBoQWJkv/qrv8rIyMiBn8aYxnDLy8s8+eSTXLhwgS996UsH7ru4WI8EJHov6+vrSV7OvdojCTRer5f29nZUVeXChQtxsgyvtcsmwPb2Nu3t7dhsNs6dO5eyyPPtP/MzfPnFF8mLXNypO3fIE0UunD/PmcuXMaWnc/36dba2thgZGuLG9etMTUyQnZPDieZmrjz2GLaMDApLS+M488fr69nxxM+Iq2tqmOrqIj0vj7yGBjzo4S83ejnKBDqozKCDTWJq8gjJoJKPISMZswHI2O3gMUiDFBwG2SAPmtMQld2KtbQ6O8FFY+8kuJQiJ1KUS/f3e3hlO8jqpZOoZQX7XymO1JIcclrqEJDcEK0w8t6ZZtwp4auMTLnNJhiYTbmtv7EWLQbAlNVNVhY15Gx9kqEUVcT3S0kw7VAFOzMrTE2vESwpMFxnOxx/E7avD+A5Fc8xds0nh978/VNsxYTQtkuSQ3jhFRfrLYfilk2vxasRrEwKaI7kKvTto2kENmX8Zamv7ZYLMMPu0fg5QDhESv0YZwhaqmDvltU+BLD5YZsRyExNTbG8vHwgWam/v5/3ve99fOYzn+HVV19lfHycwcFBfuInfuKeWbT5+fkcOXLkwM/euLa0tMQTTzxBS0sLf/mXf3nXUpCamhqKi4v53veiinOhUIirV69y8eLFezq/RHukgEYQBDY2Nmhvb6ewsJDTp09jNseT+F+rR7O6usqtW7eoqKjg5MmTd+05ceLcOf7X9eucf8c7yD9yBJ/FQtetW/jcbirKjcol9TofORzmpRdfpG9ggNnlZb2zYEkJl59+GmcgQGFTE3nHjpFz5AiOhgbSS0pYtFoZcLnompjAhe7ByOhJ/L1hKZvkYvW9fiCJZjTE2UTjsFlJijyMPUXm2JSRbbjcVm4M2tbSfPyTxjkRKUN/IcP+IP2v9vODRRfz55pQ6stRD9AhCx1AeQ4meDrhFRcTPatsHW2EytReEoDXINQmL2ywsmlDyXSgbh0cuvWX6E3SZNc2k2Y7qi0+VKWl2XD1JrciXbs9TSgCHGp1GTvDxmSCjY5RQhVFaGYTC/3GoUNn2wC+xloAlJP1OCfir31ow83Oyfq4ZUKOif7buve91rWN+bwxaviXQT0Pt3qTv1te1MWsE63cAWXZ8cvuBjZ3sx8mGBmx0Kanp1laWqK1tTWllMzg4CDveMc7+PjHP86v/dqv7YeiGhoa+MhHPvLQG68tLy/zxBNPUFFRwR/+4R+ysbHB6upqkrdy5MgRnnvuOUAfhz/60Y/y+7//+zz33HMMDg7y7LPPkpaWxvvf//4HOo9HCmhCoRADAwMcO3aMw4cPG8YDHxRo9lzagYEBTpw4cV+dNksqK/m13/99zj/5JJtOJ5qmMTo4yFhvL6eOHaOlJfrGlJWXk5WdzXBCO2dFUchyOOhsa2Ogv5+hgQFGh4cZHx2lMC+Pnps3CfjiBz+jOWW2wbI6koFGwFg9pcpuXBMppRg7fSkiRP4UKsrylnEoy16XOifin43nTauyykjbAFedu/TlOvCXJne3VCuLUFNIy2hmE75EIUxA8weZe2mQlewiQ+UD0EOhvlHjHx2eWmZZziOUgh23ZxuL0fPyjc4zczTeu5Ab6w0JDuq2j2XS0EwS/gJjT2jvd6xY0gmeOkzAmSJXpKos+YOoZhMrVuOczFrbHZQIGAH4TmQS9EZnGyvTfgSH8URsYgfsKaIo6x6QYg6Zng3nKozXPQhsHtUQWiqQWVhY4PTp0ylBZnR0lHe84x186EMf4hOf+MTr0uAs0V566SUmJyd5+eWXKS8v39dpS1QgiO2uCfAbv/EbfPSjH+XDH/4wra2tLC0t8dJLLz2wRM4jBTQWi4XHH3/csCnQnj0IGUBRFPr7+1lcXOT8+fMPFGc0m8285xd+gRfa22mKtEEFGB8eZrSnh/rKSi4/9hjBYJDF+eSZaGFhIV63G38CmOTn57OQID8DxoKFaRiDh5HTUZ5iXclghLVY9M6JiZZbp9Nak87teDrhjWRAkbIkvEPGAKQGjMNptpoSAikAw3q4gqWbg1zb2mHy8VPIMUw1uTp1SlltqkXdTV2bMtE7yeClJlRT8iAaPF6DmmrwBnw2G0MleahW43J5rbaU7al42vPmjUFWz53a/9sTTD1RCgzNstHUxMawge5ajPkHpplOP/ilD0wtsfFEM9O3UzRc0zTWAiE0SUTITKO/Lz6X6F8PoZ5MPob9CPT0QSAdQ6aZdwfse6+wAJffDZaH36zyh2JGIDMzM8P8/DynT59Oqb48MTHBM888w7PPPstnPvOZ/y0gA/Dss8+iaZrhJ9Y0TePZZ5/d/1sQBD796U+zsrJCIBDg6tWrcTmf+7VHCmiAu/Z2uF+PJhAIcOvWLYLBIBcvXnxgRJYkCVVVOXL8ON++fp2P//Zv7/cYrzt+HKxW2q5dIxAIcObcOZpbW7FadZ/EbrdTkJPDxlrygNpQVcV2TJM10G+K0TBWSDIpLBfjAnyjxz0tRdisrDjaAyzWMlOEi9PyjWfImccy0AzcJcFmYXfQOMRjrTCmCQOEw/pJKf4g41f7uOZIY+lSkx5S9KXuARPOSF1jJdaU4p9bZfnGAD0n65HT40N9vryDe9N4zSbc/ZOMnmpAMwhzBFL8noVrA2w3NqBlpLFpEDaLtW3nLp6CVA17dJNK8rj9cg/aoRSuQsRWZBnxAMqzd3IR/+UTBFoO4fMkPwSLbW7MTTFPkwCjkTnGyjjkthrvd34OMgrgyFkoredA1+ON4tUYgczc3Byzs7OcPn065dgyMzPDM888w0//9E/z2c9+9qGHx94I9ob7xfcDNG63m5s3b+JwODhz5sxrqsGJPa7JZOL/+tVf5VN/9Ee0PP44A0NDTEY0yHZ3dui6dYve27cxmUycu3iRx554AlmWk0C0ubmZoZj+M3vmIHmiaMawFQyVJIOPGdiOubMC+oyyzA5mC1gLwVoM1lKwlkMoDYRyEMr0/lziIRDrwR/GkFstrxh7J6kmaZmNtaiJCot7+zKogwEQLGY8g/FsqsDqJv03Bug4WcdWOLVX65tPHdrSKqNA4Ooeo6uyiGB+9v4ybyrCAjrVemtIB8yNW8NMXkqe4TlT5ZQUhanJNXZOH0MNHNSqGbYz05hYWEeNOa9ECx6qRAmEWFQ1NCMdOHSAH+yb1LVNjSjeEVsbmGY4RZEnGjh9yv7Mx3Yhi6mYGtjpAUg3yMloGmgZ0Pq2mIUPiAiPAjHACGTm5+eZnp4+EGTm5+d5+9vfzjve8Q4+//nP/6sEGXgElQEEQUhy62JNkiT8/tRhkT1bWlpieHiYhoYGqqqqXrOrKorivnL06uoqg4ODXH7iCX7uF3+RtqtX+ex//s90J9TA5Obl4dzY4Faks6bFYqGioYH8/HwETWOio8MQUIxuSjF6RfXeY5qFTnv2EZVfD6Mz0rKARTP4FF2cOKjqK+wqsBgkzgXKsIF5FfajkZGITVEl7EaSvSYLZBZYSc82kVtkxq8IpBeYsTjDSDN+CGkIInhHjJlYYgp2mJSZxu6QsaeT1lTLbveY4Xdhi4XrPeMcfvwUle1DSKHowK1VFR1IEvBuxoeHtkfmuFVZxOmqIiyySjgFYQFAOZGG3BMV2Vy+fgfL4zlUXY2wwyqsuMdSqwHIm9uMKiIZditiCuAVbBam7kwR3Pay0HKISpcHIfF9EAQmI+fpmVwk5/FTZFztS9qX2HoEb9sdvFs75D1+CpPBOgBiYw2rWztYBUFHiATbnvKT+3gOarub7rn4dy8cgGAa+mwmYdNzT+oTm3ux2haYNmpVcI/2eioGGIHMwsICU1NTtLS04HAYe8HLy8u8/e1v5+mnn+YLX/jCv1qQgR9Bj0bTNMbGxhgZGaG5uZnq6uqHEg/dO+7k5CSDg4McP36c6upqRFHksSef5LuvvMLf/P3fczxS2Nl69ixbW1tMxagth0IhpiYm6Gpvp6+jgy30osrYTxC9HmYZfcxfRC/IHI98xiKfTnRQuRH5fzd6Xc0osGnVAWVTjoAMUGk1Fk2uLY4BmRgrjCmql0OwtRRkcchLSBHou7rFjRseXhnz8bICfbV2XD+Wy1ZjLWptcn7Nn5Cz2LP049VoKTwTLd2YvQagWM1oisLo1T5ulRewe7w6eq5VB5QD5jrYGZpNPr/5NTq9mzhPpqYsA/gMClFnr26x8lg2AIHag2WRpJxMRl7uZulU6voasbmB4LY+sG30jON5LFkNQDrVwFaMJtzstX7U5uR9zmy49/8/1TaAeLwmaR3BJHFnapmVgWnsBsfas4UOD9qTOawtJZMYjEJox1ugqj5p1UfDPbkPMwKZxcVFJiYmaG5uTtlkcXV1lbe//e1cuXKFL37xi/+qQQbegEBzUB2NLMv09PSwvr7OhQsXyM9PZiu9FvP7/SwuLnL69GmKioqSAOzpt72Nl9vb+etvfpOMzMykFgGgT/ys6CCRaA50r2Sv97qKPkksJbkdiBlwkWwNwLLBZLk4he/qN8jdC8Bmion57mr8zlVFwzntx+2t4Nb1fl6eXuZWcS6LF5vwXWrC0nKIoIFQJgBSaod6Z8o4Ga4JQpzX4Jlepm10genHT6FYzQQOoC0LR6tS1r+EnGG6XWG8p4yTuRqwNW687/E2N84LWbicB0uvi8drUGWFxfZBth4/ZbjOhhz/bE+1DRBqqotb5kqgS6NpzK5uomVFz93SVMdizHXSFIUlbwAStrWcPcpG5P6Mtw9hazCm7ItWkR5XGDHFLYsNoaXlwRNvN17vIHvUcjVGILO0tMT4+DjNzc1xRd6xtr6+zjPPPENrayt/8Rd/cdcSin8N9sgBzb00PzNine0VeWqaxvnz5x9qS9RAIMBExDMJhULMzs6yvLxsqDQtCAI/9va383ff/jbdIyP8x09+kqqa6EzShmEPqX1JmUTLJdreNgEHbVUAAEh7SURBVNZOYNxvLNOAgmYXYN4g2liaB6sGGFBx2JiFlldjw2nQmEwQwBkzqO2sbjJ6c4CbNwYYzUxjtKmO3Ssn4ir/NUHAmyLMZG0oJ5AiV5J+vIZAzEwd9EF07GofXbVlbB3g7Qbl1N+JuSbWbu9we9THTmtyKERtTCe0lgJIVBhdCrJmPvjZde5Ec05jbQMEWg7Hn0N+FjM98W0FNEVh0uVBzc6MnKeDCYOQom/FhftYdfRYGckPgmd2hdDZGHkaQWB0LVoUqoTCuAQBwSCfIzVnMnF7h/xLxiSF2BDak58A+78xXO0NY0Ygs7y8zNjYGKdOnSInx/g6uFwu3vnOd3Ls2DG++tWv3pXc9K/FHjmguZsZhc5cLhcdHR3k5+fT0tKSVOT5Wmx7e5uOjg7sdjuPPfYY58+fJzMzk/n5ea5evUp3dzcLCwsEAslxqbLycv7Db/4mP7h5kyr0Sn2j+fSel2NkGRgn+428mRJgygBQjqZBolo/QFEKAp4jxfKCSuPqzZIT9ezGDFixtr3sZHFgio7rd3h1x8dU6xH8FxtJP1VPOEUC2mxQN7Nn4gGsMDU7nbaROVyPn0quk7GY2R40zvkASBHGnBJQ6e7fwZMg0eK3p2hOFjG52k7/tB/5kHH4zFRsYfFOtNpJUxSGppd09em98z9Wg5aoqQ/4lp0sH9LdBbmxFjlkTCZYah9EvtCIqTiXka4Rw3Wmr99BioTu7GeOsJjgOW6ML2C5GE9ysBVZuNnpBmD42hb5zcYPyMo4HP5ZOPqM4ddRe8RJAUYgs7KywujoKCdPnkypfLy1tcVP/MRPUFNTw9e+9rWHOg690e0NBzSJobP5+Xl6eno4fPgwRyONyB6G7SX9b926ta/GajabycjIoLa2lvPnz3Pp0iUKCgpYW1ujra2NW7duMTMzgzfmQXU6nbyzpIR0dHpyHVCLntzPRE/oZ2HszVQCRsN3Km8mVXVQwCANIgmwZuDNSCZYNejVBbC9YEwpthlImQDk1JTEVaQrYZmZ26PcuDnIcI6D9cdOoRrQgf0H1LFsL6Rq2wlBDdSwTO/VPsbPHEGJ8aDEE3YUb2qPxhuDxGpYo+eWh83T0e/dB5e14FreIrStMOiRUQ3kW7RDaUl59pB7l3GbBTVSH7S4kVrtebVzhO3HTjG7nJoVBzA9PMtuYy1KKu9N05jbcEOGnWmv8f2caBvAHlPIGT6URsCv7W3O0nIQW27yTN1sg0sfOPD07mqvVS3gtZoRyKyurjIyMsLJkydTSsR4PB7e9a53UVRUxN/93d89dJX5N7o9cn7dvYTOFEVBVVVGRkZYW1ujtbU1pSv7ILbXjGh6epqjR49SXFxseF52u32/614oFGJjY4P19XWmp6ex2+38p7e8xXD/lsgnm6jMTDjyKUL3VrwY05ktGIfSsoAFg+U1VuOcTX0pLBsMnjXHYMWgyWXRoTQ2DXIUoggbKSrpsyuL2Jox6JYGrE8u4p5fQxBF6s4do9wfwnRnElN+Fp4Uas3W6mLWp42JBaLVzHoMHXqha5TN4jxOnazH3j9J2J56AiJmSjgH4rUVNBX6eqDpDOStg/8ADU2xBJyR0hjfWoiRcjiWY0KIkapZMyhwBfBMLLJ4/ji1G25WU/zuPVt177CbolB0z2R/kH6vH0ESDb0jgN2lDfw/dpbJFw2aywCqorCy4yM3zYa9AF5OaFS3vRai4IyDQAKD76kPQW5sWc8PoXnMazmkEcisra0xNDTEiRMnUoLMzs4O73nPe3A4HHzrW9/ar5/7Pxa1N5xHI0kS4XCY27dv43a7uXDhwkMFGUVRGBwcZG5ujpaWFkpKSu6JtWaxWCgrK6O5uZkrV66kBJlEE9BDYWnoYPEM8IvAL0f+/3bgceAMcAz4cXRvqJwoxRl0L8mIv5WfYiphSXHnUy3PKTF+eYpPNOBNyJns2U6K2XfBkSrcETUATVWZvDXMq3cmGTxSRfhiY0p6u6UqdX+ZjBN1hBPUALyrLm4OTLL+RA7bU6lJAlK9ghI0GJQ1GOiCBSP2VIzJCTWTnkWYzJfR7PpzY66ysTqSOvS21DHETEx+JZV5M9OZdG0j5adQrgQyzxxhrH0Iy6WmlOsATGx4yD1gHffcKuLpw2yXWjFKe011bVP0WPS9K6yDx++uPB+1R4x9ZgQy6+vrDA4OcuLECQpSSAJ5vV7e+973YrFY+Kd/+qc4teb/Y1F75Dyau1kwGETTNEwmEy0tLQ812RYMBunt7UVRFM6ePftAD40syzz9EIBvL6SWOKQYvZ++yCf3iF4rs/+R9Zl5tR12i2Hbp3c1lmVYMkj229NhyTi0z1aKgdqWaZyTyKkpTRJy3LP0ohww8IJWR+d0if7aUg7nZ2G6NRz/O7d2krbZMzmFnpemwuxGCLnYSq1PRXAnw7HvYFYzveNQcRYcxg4AGwbRvI0JsJ7QqBgEpdoOc6mVDBBFOm6P0nDuGHLCb94zc1YGd7pHCQVCbJ2qx7G1k9wjGZh16WHHoWv9nDp3jF2D/WUdreIHPWNY0mwcqi9nJ0Xt0NaGm83s1DVto7c81BxKwz3u4yc/DdIbNCVhBDIbGxsMDAzQ1NSUEmT8fj8/8zM/g6qqvPDCCw+VgPSjZo8c0BzkPayvr9Pfr/dgb2pqeqggs9cqOiMjg+bm5gfat9/v522vgVL9oJO8tMjnwDKOhJ2rqt7Kees0bK3C5hqEfbDYD2vT4FwANTImlx5LZ3M4+WUURVgfmTU8XE5lEVszxmEuVwrqsi0nk8X+SVRZYX1qidKjVdTbrUg945jzHLhSyNggiWwYiGjun2eehblrW3jKrZwqtCDGhgCt4EyRkwKw5cPsAmwuQFMNZCecglQOWykOvXgHrFeyUVPktvZPoSWD7dsuBra9NB2uRDZg49lO1hO61qfvt2+SY4+fgoQCTEdTHT0D0bL90ZE56iuLkrTkPBEadMgXYE1WyMqwJ3mDAK40KyMDIWob7Lgmkr+XgyoeWaP1vVB37sCfeF92UPHmw47GGYGM0+lkYGCAxsbG/T5YiRYMBvm5n/s5dnd3X5PY5L8We+SAxsg0TWNmZoapqSmOHz/OnTt3UBTlobA6NE1jY2ODO3fuUFZWlrK3993M7Xbzk2UHd218lEwUIccBOScBgzo9JQwb4iXWx7xsLwaY+sEm87c8bMckfEpOZrLSa5y496SonSk4Ws1aCnAqaKzBfT2aIFoemWMZqDxRx9HyArTvdBhul9lUh6vPuAubBqxO6IOJezHIDbvImYtZ2G7q5205DLJBTmp/+0z2k2IDM9BYAzkxYBMqQa+qTWEry27EihzEFM3gADySPrkKeQNMbHupL8xBWY8nBswkXM/hq300X2gk2B5VCfckFLkGtr04S/PItP5/7Z15eJTlubjvyb6TkA0SshEC2XeIgCyKC8iSRMVqkaqt7cGi1WpP/ak91uUop2ovtyPUrVWPpVggLEKRpZAAAkL2sBNCSMg22fdkMjPf7w/ImGW+kGUmM4H3vq78wcz3zbwJM9/9Pe/7vM9jreuv4zzZh/QeUU51cQXjb4mg61jvRnyesSHsuZZqXd1ph4OrFR16osHW+i7ufk72VzNr9EmmtraW/Px8wsPDZYvvqlQqfvazn1FdXc3evXtlN20KfsTs12g0Gg0FBQWUlJQwY8YMfHx8UCgUBumyKUkSxcXF5ObmMnXqVEJCQoYlmcrKyjElmcFgaQ0TQh2JTvbi1tX+PJIWy3+VzeOl0rn8bHMM838fyMRoJyz0VEB2C/KhVmY6xtFT/kvZ3qz/YlySf5EcZQN1syKxmNA/tVSSmb4DcI1yornix/0vXe1ajhxppHquK5IltF/nVquiTx75yUtQG/hjyrly4PqYqN0gN6Mei2vVA/piMd6Ky9k/Lqo3VdRS4TEORY+Nlc5RwZTpiQJP5Rdic639gr2PB3l6Uporz5Zg2WPvTPtE935rYOeOnWJ8n6oAJT1SqKtLOrAOskeh56tx7xshuMi1+jZj9Emmrq6OvLw8XQKQPrq6unjssccoKSlh9+7dsqnOgt6YtWg6Ojo4fvw4ra2tzJw5U3fnYIgumxqNhlOnTlFUVER8fDy+vr5DLlUjSRLzHR15MDj4+gffILhOsiPqXm8W/2kqP/kiipdrdrJy8xvM+NUy3K4t1rv6659uAKiRmTZz9HSjLP+i3uccPFy5nHOBU0dOcqylna55sboikRJQc0Ffvt1VFG76TVJwsIHCaCdq9XcoAMA+BPp04QbgdDHUBIBFEDTKZyRjYQXF16blsg41YDWrv2QtIp3Q9Om2WXG6mJa4H3vYtLjoF6mqtYMSjQZLF0cImYRWJsvs7KF8nGZH4eDrwQmZNaD8o6dwvZbS7J0Uztk+U5GFOc1MuNW112OBiS7M+w/9lQTMmW8rK/vJtr6+ntzcXEJDQ/v1aulGrVbzq1/9ivPnz7N3716DVx4ZLmvWrNE1KzNXzG7qrPti39jYSHZ2Nu7u7kRERPQq4zDSLpsqlYrc3Fw6OzuZMWOGbMvVgdBqtdwu5mWxH+dE5L3ziLx3HgDKs5cp3JeJqqWdsj472L3CA6mUWUtxD/On9mCe3uc8wwOovvZcZ0s7xzJy8QycQLiHKw7tndTJFOZEARV6Khl002ltSS62RAV2otYzLI2r7KmcvQzq24HL6N+FCzhEQNu1X0mSIPN4E9MTXejK/NFeFfpyz4HCoyeJnheLbf5FcuX6yQB1xZW4zozgrIykuzmdc4Hg2ZFoZCouaLrUXK5txNvLlTPKBr3H5B5sIH72OMq+b0RhASvXhWFhMTp9VQzF+0eOcOLECaysrPD09MTDwwNLS0vdrIZcLyyNRsOvf/1rcnNzSU9Pl127GW1OnDjBJ598QnR0tKmHMiBmGdFUVFRw/PhxAgMDiYqK6lcrSK4MzWBoaWnh2LFjKBQKpk+fPizJqFQqIRkZvEIDmPXkffwm83P+8/w/uPO1x/G6lrrrMEBabssAGWUNejZwVhdXkpF5lqrJPlhP0L+/YVzUFFrkysYAnYqrxUJ/qLbEsu86lQLKivSedvVpC8jMh7ZoZG/XGq17VzHQqiWyT7Xo+rvYhjlSXSi/dlNwMA/V7Ci6OvXvwemm1soSq+iBo2oLJ3uOFJbh6CWfEdlQUYs2YRpXrshvij2Z1YxHmCPz/2MSQYlja20ivbWVmJgY5s+fT0REBAqFgtOnT5OVlaXLMO3s7C9+rVbLb37zG44dO8a+fftkI57RpqWlhRUrVvDpp58adIuHMTA70bS2tnL69GliYmIICgrSO5013KmzmpoafvjhBzw8PIiNjR1WMkFLS4tB0pfHBBf2jOh0jxA/7vivR3nu1Nc8k/cFk+fF4TC+fwkZZx8PKmQyylz9J1AuEwVZWFqQc+wUWW3tWM+J6V92xlU+3dTWxZLi3Kty62zVcDgfumb8uPbiGAqt+ur8dL90GDTWwOlcaA4HRZ+PkrWnNZdz+8uzq11LfkkH1iH2tHsM/PmTgENnLuOqpzKzDoWCohIlWRm5eM6NlT3MKjSAiksVdLg6YaOnDhqAlb0tR3Mu4JUwDYXMWqWqQ0urlYL73hxgTGZIzzUZCwsL3N3dmThxIhqNhsDAQCZMmEB5eTmHDh3ihx9+ICcnh8OHD6NWq3nuuedIT09n3759+PkN3GhuNFm9ejWLFy/mjjvuMPVQrovZicbJyYl58+YNGJoOdepMkiQuX75MdnY2U6ZMYerUqcNa9K+trWXJMNpAmzWjtHN7YvQU7n7tcf5QtoWffPkS/rdE6J5zmzJJdpPmuCD5u0efuKk0VTfQ3tTG4UN51EQHY9N9vIUFFQPstHeLdkbdY5OmJMGJ49BwyzgUdtcKRA5Aew9HnMuH+qlgYffjTZF1uCNatf7fqb1RzTmVRGX1wBGBW2Io5RfLyL1wBZewAL3HuCaFU3X56qaoE4fz8ezxd+3GzsNVlyhQer4U26l++pM4ZoRRW1lH/rFT+PWpd9aT+58PwsHVeJtmRtKXRh/6Fv6bmprIzs4mODiYkJAQgoKCmDFjBnPnzsXPz4/s7GxSUlLw9vbm73//Oy+++KLZTJcBbNiwgezsbNasWWPqoQwKsxMNGLadc3epmgsXLhAbG8ukSZOG1Z9mvqMj9/n7D/m8G5/XhnS0tZ0tiT9bxFNHP+aZnL+R9KtltDXJ75pXXpZvYqbtc7Esyr/IsfIaLObF4horX7EAoLFJ/9TrmWONXJ7siLJZ3jQ24yy5eKb3V6fwFFRPc8TC8erjFWX61166sfabyrmmVhwm6d8MCFBzbXq4o6Wds9UNOAb2z4Qq79EWQavVkpN7gfFRk3sdYx0eQGePRmvnss/jnhTe6xg7dxeye1SOzjqcT5CeVgYxC8Zz2wrzmDoaDPok071nLigoiICA3gK3sbHBx8eHxx57jF/+8pfY29tz33338T//8z94eHjwyCOPjNbQZSktLeXpp5/m66+/xs5Ovm+TOWGWohluq4C+dHV1kZ2dTU1NDTNmzJCtVTQQ3Zllo8FIgwtD3wkaG9/YEO7/+Pc8ue89Fr3ycxzde9/he4QGUFOsv1aa/TgninL677Ts6uziaEYu5d5uOMr0VnHytaG0T22znkjjrMit78IxUv//u1NM72iom0t5LVQG2eMY5zzg2gtAmbKe2vIaiiWw9+0vG6dgXy7k/Lg3qKmmkctdGux7pHePiw6muE8ihKpDxbmyGpyvRXa27i7kZvavWp33fQG+PURiFx5EW59ePsczcgme9+M0sbWtBavXhvU6ZtjTq8P8sA/lNH2SaWlpISsri4CAAAIDA/WeJ0kSb775Jhs2bODw4cN8+eWXFBYWkpWVxf33m752TlZWFkqlkoSEBKysrLCysiIjI4MPPvjAIBm5xsAsRXM9BvPHbGtr49ixY2i1WqZPnz6s8hBqtZrbnPQ3whpzDNdig7qQDC2q6Yuj+zju+ePPea1kM/e9/zRu/lenJ+295dfCvKMnyy6S2zo7cDwjl6OXq7CfF9tvvcFxSri+jsU6mjq0NFZ38cOFdpxmu/Z7XilTIBOg5GQrZRNssBtg/WV8dDBXzl9Nya4pq6bU0gL7ib1vgjQ+/W+KasqqqXKyx/razv7Gvg3QrtFc10S5WoOdhys2kZPpbNNfmeBERi6T5sTgEuBNVp8Nm90cy6hn8hxXAB54IQjfqUP4Ho1yQc2eDCQZPz8/gnr0iOqJJEm8/fbbfPLJJ+zdu5fw8KuRn0KhICwsjKVLlxp13INhwYIFFBQUkJubq/tJTExkxYoV5ObmmmWjtTEpmutNndXW1nL06FHc3NyIjY0dVsnujo4O7jDDHb9G+e6a8ILQExsHO+b/Zjl/vPgNK7/6g3ype6ChTs8Gl2v4xobQ2daBWtXF9xm51IX5Yx/0Y9pqVYn85plxfrZcvLaI39Wp5dD3DdjMc7ta/RRwDrGnbIACmbYulhw/2EC5oyWOMtNiHQ69pzuUJVVcsbHG7ppYbVydOaUnCgEoLyyjxd8L51B/zpyQT3uuLlXSGejNOZnmct1kHjmJVXgQapmW2gAnvm8g4V4vlv8//Rdnc0OfZFpbW8nKysLX15dgmX1vkiTxwQcf8MEHH7B7926zTRl2dnYmMjKy14+joyPu7u5ERsqvrZkSsxTNcKfOJEniypUrZGVlMXnyZEJDQ4dl96amJhYOY5rthmWE2WdDxdLKihkrF/J8xv/yiy9fwiu4d9UF9yAfSk8Vy55f3bd8y6liTlTU4DA3FrfwQKplWhcAOE0O6xft/JBRT2eiC5bOllj4DDwn7hkbSUerhsrLHRR2qXHuM33n4O3GWT0dMqsuV1Jub4etpxsOMcGo2uXXeC4VFNEyZRJWMhFNN60O9rS7OuGoJ9Ovm4lRk9m55wTT5uipQ3QNSYLUZwKwtu1zuTDCtNlIp3+f1COZtrY2srKy8PHxGVAy69at46233mLXrl0kJCToPU4wPMxSNNdDX0Sj1Wo5d+4cZ8+eJTo6Gj8/v2Et+ldVVbHMTPLkh8OAX9SBIpcRRzUjmz7Th4WlJbN/tog3zv6dRz99HvdrU2pOA1QemBAWQKmeu3hVh4rDB3NpCJooG2lYWFpQJJOpdvpEE5W+vlTVDpzafvnyj9FSfVU9J6vqce2xx8UuNEA2eqgsrkDp6kjJAEkMcLVg6b7vfsA6ZJJs07lxvp6c+OEURWdL6HB1wkXPNKTCwoIrLe1oNBoOH8pj2rw4va913xN+xM0ZYkq/EaLk672knGQyMzOZMGECU6ZM0XtNkCSJzz//nNdff50dO3aQlGTACqGjRHp6Ou+9956phyHLmBRN3zWarq4ucnNzqaqqYvr06Xh6eg67nMxPJk++/sFGZDDfT5PMdI3CWo0cllZWzH18KWsubGDF//6W5gE2d9q4y093Org4cjQ9h4LGVtxv7T8tMiExlAalfE0ZG/dxZJcq8Uycpvf5iQnTdKnG3bQ2tZJ5vpTxM8KwsLKk8DrNzay83LjU1Mp4PRlm3Vj7eaNWaziXfxGNj4fevUnWgRNQXVvDKikqp8HGmvF9BOs/O4pLPWrSHc7IIXhOND2XtCb427H6f/TsmRnlKPd66JNMe3s7WVlZeHt7ExISIiuZr776ij/84Q9s27aN2bNnj8ZwbzrMUjSD7bIJVz9MP/zwAyqViunTp+M0jMV7rVZ74yz6Y8qoBowlGwArG2sWrL6P/z7yFx549RfY9dl4aOtkzwWZKs4AfnEhtLd20NbcRsbhfCymh2Hn4ap7vlWmVlg3lTWNtDS2cCT7Ap56Un9bZT63qg4VR7LO474oaUCRKSwsuFRWTeWVaoqa2/DW0wzNzX8C2T0W7ovOXqbN1QnnHtloHiGTOHG09+J+RamSCrUGj8lX16ocx7uQVdC/bM2xQ/n4JLpgc21P0AufhOPo3Ge7wfUkM8zP2HCnzfRJpqOjg6ysLDw9PZk6daqsZP7xj3/wn//5n2zZsoX58+cPbwCC62KWorke3Ws09fX1HD16FGdnZ+Lj44fVQrWrq8vsysmM7ajG+Ng52rP85cf434v/5O5fp2J5bT+Nb2wI7Xr6qsDVi3hxYe+CnvknznBB0uJxSwQuPh4UZss3ppkUM4XL16bktFothzNysUsKx/qa7Mb5e3NOz9pLN1qNhqPnSpk4N1b2RsovKZyy4qsRUWNtEwWXK/FNDO11jLWfZ79p49KicuqsrXD1uzql2OnqjFbbX5o1lXVcbmxhQqg/LhFBNDXoT/HOOd6Ec4gjqU9MYubdQywcaaQPptzLykkmMzOT8ePHM23aNNm/9+bNm3nmmWfYuHEjCxYsMOBoBX0Zs6Lp/jAFBAQQHh4+rEX/1tZW7nR1NfwAzQCjRTUmnELryzgvNx7/6DnePf01SffNp6ZWf28cgMnTQ1Hq6ZHTWNtE+rFTWE4Pw2aAdgNdtv3TlfN+OE2DlxsugRNwCJooW90AIGB6GJfOl3L4YC6OidP0loEpre4d7bS3dnA89wL+s69O87kFeJN9TH/15cpSJRVdaibfFkeunnYB3TTUNtFsb0fTABl9AC3NalavMfCUmYGjGX2S6ezsJCsrCzc3N8LCwmQls23bNp544gnWr1/PokWLhv7mgiFhlqIZaOpMq9VSVVVFZ2cnzs7O2NnZDfgFl6Ouro6/mVFJCbNiDMkGYGKIH7/b9N88+9n/I0xPCRaAlg754poOLo4cOJBNhZ01PtND+z3v7j+B0zLpxleKyrnUpab+Op9BZY9IK+/EWdq8x+siELgazZT0ibgA1GoNh77Px29eLFaTvAZO66+q50xDK+Ez9f8NAKysLKlqbef7oyeJuDUaO4f+WXSWlgre/ToKl3F95GqkKbProe/UgSQzbtw4wsPDZa8jO3fu5PHHH+err75i2bJlwx+YYNCYpWjkUKvV5OXlUVtbS2RkJG5ubhQVFZGenk5eXh4VFRV0dQ1c6RagvLyc9deK45l+n69+DDF9NuyoxmCMnmwAImZF8cHRj/nDN68yoUeNNJ9p/pzPk+9QFhgXQktTKzVV9WScOMv42VG9srmcAyfonYrqxn3KJPYdzGPinBis9EQ+/vFTKezTVfTyxTIKWzuYEDMFgMpG+UoFAJcqamlQKLBzlE+vnnZrFPk55zl89BRhc2Kw0TOWabOjKLy2WfTo4XzsvCAorHfm2pN/CCJxdp8ss5FI5joMNZrRJxmVSkVWVhbOzs66ysz62LNnD4899hiff/45991333CGKxgGCmk44YCR0Wg0/fbJdHR0kJ2djUKhICYmptd6TEtLC0qlkqqqKlpbW3F3d8fLywtPT89emzUlSeIjPYv+ZrJfsR+DleBAx02OH8HJ1xtAyF3XOaAnLw/h2JGj6lSx7cNNrH/jK7wiJpPzvf5+zbYOdnTa29BQ23sDqOcEd8IneVB3/go1Gg3trfp31zuOc6JWkmi+Vq8taMokPCUtNRfLdcc4RwVzVs/CO4CVtRW3L5xB+rdHBvx9vGKmcCqvEP+giYy3tqLsfO9mb87uLig1Whp7rLtMmeaPdUcnVddSrn2CfThTWo1K1ftmzMpKwazZruQdrCdhlisbMqZjadnjQj1SyYxgyqzvqQNJxtHRkcjISNmCuenp6TzwwAOsXbuWlStXDmv7g2B4mGVE0/cD0NjYyNGjR3FwcNC76O/k5MTkyZOZOXMms2bNws3NjStXrnDw4EGysrIoLS2lra1Nr2TMGUMI8Lp3i0Zfr+lmdKMbG1sblv/up3xZ+A3hM8OxttFfEiZ4emg/yQBUV9aSkXmOCbfFoRignYRv7BSdZAAuFV4hv7yWgDlX11UmxYbISgYASeLoqWImzQjH2V3/xsrQmRGcuhaRlVyq4ExJFWFzeqdne4YF9pIMQOG5EkrrmgmfGYlCoUBlb9tPMgBqtcTBjHrCZrvy7tdRoyaZ6zEYyXTXM3RwcBhQMocOHeInP/kJ77//vpCMCTDLiEar1dLV1YUkSVRVVVFQUEBgYCCBgYFDKu/f0dGBUqmkoqKCE7ffPuCx5hrVwOAim+sdM2Bkc72TBzOAQUc3oxvZdFNWVMZHL3zMvzce0K3p2dhaoxnnRK1MyvE4dxcautTY2FgTPc2fi98X9Hreyc0ZpVpDa7P+Lp6Jt0RgIWnJ+0F+cT5qbgwZ17qHeni6EhowgcIeHTVt7GzQuLtQqacz5vRbIqg+XYxngDc/nLw04FrlXclzOHHsJDVV+n9XKysF//wunnkLelTEGMyNxAhuVIYSzchJJisrCzs7O6Kjo2WvDceOHSM1NZU1a9bwxBNPCMmYALOMaOCqbC5evEhBQQHh4eEEBQUNuYeMnZ0dbm5uqFQq5hw5wrIz8l/4sY5R12sGY+FBRzevMdrRDYDvZF/e/OY1/nrsY+KuNQibMiNcVjIA/hFBtDS1UVfTSPr3BbjFTcUj4Md+RD7RwbKSAWjXasktqiBMZnF+nLsL2bk/rh3VVDdwOPMsU+bEYGN/NWoPTgrXKxmAE8dOoXF3wdLTdUDJTIuazI6dR6htbGTGXFfc3Pu34fifD0PHnGSys7OxtbUdUDKZmZnce++9vPbaa0IyJsQsI5q2tjYKCgqor68nJiaGccMsblldXU1BQQFBQUEEBgbqPmQqlYrq6mq2TJ3a6/ixHtUM5jjziWzAVNENwKFvD/Ppu99w7ECO3ud9gny4WFqFuk8asK2tNbNuiaTmXAlXmltl127s7G2xHO9MxTVJxCeG0l5RS02PFOvQW6M5clj/2pF/4ESCJo4nM7eQjgHqnsXOjeXQwVziEqaham7jUp+1GzePcait2qmq/DHrztHJkvgEF87mNtHUqOHxJ/3404c9yv8bebpspJJRq9VkZ2djZWVFbGysrGRyc3NZvHgxL774Ir/73e+EZEyIWYpm+fLlFBQUsHz5cu6//37ZGkVySJJESUkJFy9eJDw8nAkT5Mt5qNVqqqureWjKFEMM3agYYgoNzE02YCrhaLVa/vXP/Xz4yl+51Kc+WsiMMLKPy0fAty5MorWuiTMyx8TOi+VgRm6vxxwc7ZiRGMqZQ/lMCplE/oUrstlsCoWCkLgQHOxtURZXUqVnD1Dk9DCO9tgzY2FhwS0zI6i4VEFVeQ0KBYTEOpObo79kj4uLFQ+umMDbH4ZdXZcZaRQziOcNIZmcnBwsLCyIjY2V3T938uRJ7rnnHn7729/y4osvCsmYGLMUTW1tLWlpaaSlpbF//36mTZvGsmXLSElJGXATFvxYXFOpVBIbGzukaEij0VBTU2PyemdyGCqqgRHKZrDHjBHhaDQatv99Dx+99gUlF8uYGhtC1gClbMLjQsjMLUSSJCKjgrGXJIpOFume9wmaSFFZjd6Fd4BpYQFM9PXk0L5M2feYPi+WjGuisrW1JikpgosFF2m6VufNY8J4GlRq6vW0S7Czs2FGkiNWVgr2/7tO9j0WL/Pkq3/GYGtrYRaS6fkS+iSj0WjIybkagcbFxclK5syZMyxatIhVq1bx6quvCsmYAWYpmm4kSaKhoYHt27eTlpbGnj17CAgIIDk5mdTU1H5ZJl1dXeTn56NSqYiNjcXevv/u68Gi1Wqpra1luUwXPlMxarIZzIsYRTZgKuGo1WrSvtjFxn/s5fB+/VdFh2uNx8r7RBgzksJpq6qjoriSoLip5Onp/tlN0rVoJyYuBAu1lnN9stKmRk7m5NnL/abtnF0cSIibypmsc3gH+5I/wN6g2XPd+OFIA2GRTri4WHHxfCuVPabP7vvJBD7/OhKrS/tkX6MXZiCZ3NxctFot8fHxspI5f/48ixYt4pFHHuHNN98c8rquoVizZg1paWmcPXsWe3t7Zs2axZ/+9CemTdNfkPVGx6xF05empiZ27NhBWloa3333Hd7e3jrp2NnZsWrVKv74xz8yf/58rKz6L3gOF61WS319Pff5+xvsNUfCmJMNjCnhaDQadm05yLp3/kH2D71LvsTOieH7Q3l6z7OysuTuRbdwOu8iV0oq9R4TGT+VnNzCXlNmMXEhWGokzuYX4uTiiJWzQz+R9WT+ggS6ujTU1TZypk8rZ4DZc135/mBDr8cUCpgW5oinpw2hEY78+TdXGNQ12AA7h4cimfk//ICnpyfu7u6677BGoyEvLw+NRkNcXJzsd7uoqIiFCxeyfPly/vznP5tMMgALFy7kwQcfZPr06ajVal566SUKCgo4ffr0sLr9jnXGlGh60trayq5du9i8eTPbt2+no6ODkJAQ3n//fWbNmmW0dqbdUVbqJP396EcLs5LNYI+BYQoHTCWd49/ns+6df7Bn+/eExgTrpsz0ERoRSNHFclQqNXEJU5G6NJzqMQXn4e1Gh0ZLbY3+mmwxsSFM9PVg3+7j/aKZbm6dF8vhHms/Pr62TJ7igLKqk/Nn25g1x5Wjhxv0tqoe727Nn/83lOUJBf2f1McoS+bhsjKqq6uprq6mra2N8ePH4+HhgVKp1EUycpK5fPkyCxcuZMmSJXz44YcmlYw+qqur8fLyIiMjg7lz55p6OKPOmBVNN+vXr+eXv/wlK1asoKOjgx07dmBvb8+yZctITk5m1qxZBo1ueiJJEk1NTST7+Fz/YCMwqrIZ7AsZXThgCulcKrzChq9389ePt1NVWdvv+Yk+HnR2qanp07RsSsgkJniP52T2OSZNmcTJfP2bNy0sLJhxSwTHjhQwbpwTYZFBqDq7yM+9oJNOX8n0xNoKbr/dnZZmNdY2Fqi1Em2tGurquqio6OTORZ68/3sl3oMpxmyg8uEjmS5rbW1FqVRSXFyMWq3GyckJb29vPD09cXJy6rXuUlZWxt13380dd9zBX/7yF7OTDEBhYSEhISEUFBSYbbtlYzKmRZOXl8e8efPYsGEDCxcuBK4W1vv3v//N5s2b2bZtG5aWlixZsoTU1FTmzJmD9QC7vEeCJEm0tLSwdIAMN2MwpmUDIxQOjLZ0NBoNB/ZlsuH/drNjy0Ha2jpwdLTD29dTV0OsLzY21syYGYFGo6WrS82Zk0W09kiLtrS0IGFGOMePnux37rhxVkREOeI6zorz59u4UtpBV4fEeMAdkAArb2twsaLwQu8WCT6TbEm9q5N7l0DsYK5tg83vN2AUA/rXZLRaLQUFBbS3txMVFUVjYyPV1dXU1tZibW1NRUUFtra2xMbG6m4oP//8c6PNZIwESZJITk6mvr6eQ4cOmXo4JmFMiwZAqVTiJVOFuauri4yMDDZt2sTWrVvp6upiyZIlpKSkMH/+/GH1rxksra2tLB6l6tBDua6brXDAANKB0RRPS0sb29MyyDx+hn/+fQ8Nevq7uLo6M8nfq1ckY2NjTXjUZBwd7SgprmTCRA9O/HCq37kAU6c6YGup4PyZVpyB8YAr0H0/b+NiiZufHb4RTvhFO+E+wRYPLxsmqHOJjri6NjMoTBDFgLxkTp48SWtrKwkJCb3qFWo0Gurq6li3bh0ff/wxTU1N+Pn58eabb7JkyRJcXPSX8TElq1evZufOnRw+fJhJJp5yNxVjXjSDRaPRcOjQITZv3syWLVtoaWnhnnvuISUlhQULFowoQ+16tLe3U1VVxaMR8uXbR4rZymYox3VjEOH0xPjy0Wq15Ode4FB6DofSczhyKA9nF0csLCy4XFyh95ykGS401XTRUNeF10RbXFytsLKxoEst0dyiZlqYI2WFbag7tdi0S1gjYWWpwMPbhqS73Ln7oYlMmtyjh85wesUYKIoBw0hGkiROnjxJS0tLP8n0pLa2lkWLFuHh4cEtt9zCjh07OH/+PL/73e948803rz+QUeKpp55i69atHDx4kKCgIFMPx2TcNKLpiUaj4dixYzrp1NTUsHDhQlJSUrjrrruMmhXSXX/tZ2Fh1z94iBhaNmBi4YARpKMPw4tIq9VSeKGUkuJKrpR+TmlJB2WlHVwp7UDdJeHrbUN1ZSf2DpbY2Vti72CByzgrImOciUlwISzKGRvbQa41DFUwQymBYSDB9H0pOcmcOnWKpqYmEhMTZSVTX1/P0qVL8fPzY+PGjbrjLl68SHNzM7GxsYMbkBGRJImnnnqKLVu2kJ6eTkiIniZyNxE3pWh6otVqycrKYtOmTWzZsoWysjLuvPNOkpOTWbRokVFDcZVKhVKp5GED5tYP9VpusOhmqG8+3EZAoyIeM2e4XS4NLBgYehQD8pI5ffo0DQ0NJCYmyk5rNzY2smzZMjw9PdmyZYtRp79Hwq9//WvWr1/Ptm3beu2dGTdunFFnT8yVm140PdFqteTn57Np0ybS0tIoKirijjvuYNmyZSxevBhXV1ej7TLu6uqiurqanxrozsdk0Y2x3lwfN5N0jNRCebjHDieKAXnJnDlzhrq6OhITE7Gz09/crbm5mdTUVBwdHdm+fbtZX7DlrhN/+9vfePTRR0d3MGaAEI0M3XdY3ZHO6dOnmT9/PikpKSxZsgR3d3ejSUetVlNYWMiqhIQRvY4xohswknCGc7w+bgT5jEQq3Qy1QqyRBQPykjl79iy1tbUDSqa1tZX77rsPCwsLdu7ceVNuehzLCNEMAkmSuHDhgk46ubm53HrrraSkpLB06VK8vb0NJh1JkiguLubSpUtER0fj5uZGbW0tD4xgIdFYAcaghTPUFx7O8QNhrvIxhFB6YiS5wNDaLQ9FMufOnaO6uprExETZCKW9vZ3ly5ejUqnYtWsXzs7Ogx+MwCwQohki3SLYvHkzaWlpHD9+nJkzZ5KcnMyyZcvw9fUdtnS6v3hVVVXExcX1Wx/SarXU1dVxf0DAkF/bmNd5owpnpOcNFkPLyNAS0cdw+1qMomBAXjLnz59HqVQOKJmOjg4eeughGhsb2b1797BbhghMixDNCJAkiStXrugqTR85coSEhASSk5NJTk4mICBg0NLRaDS6tM74+Pjrzj9rtVoaGhq4189v0OMdzrXaaMIZ6osb8tyxykgaJg3xXEMIBuQlU1hYSEVFBYmJiTg4OOg582qyzMMPP0xFRQX79u3Dzc1t8IMSmBVCNAZCkiQqKyvZsmULmzdv5uDBg0RHR+ukM1BPHZVKRW5uLgqFgtjY2CFXL5AkicbGRlJ8fQd1vNkJZ6hvYIzzzZGRduIbxvmGEgzIS+bixYuUlZWRmJgou9bS1dXFI488wqVLl9i/fz/u7u56jxOMDYRojIAkSdTU1LBt2zY2bdrEgQMHmDZtGsnJyaSkpBAaGqqTTkVFBUVFRTg5OREZGTniEhqSJNHc3MyyiROve6yxhQMmko6xXstYGLK1q5HlMti30CcZuLrX5cqVKwNKRq1W8/jjj3Pq1CkOHDggW/lDMHYQojEykiRRX1+v66mzd+9eAgMDdVNrL774In/+85/5yU9+YvAsNkmSaG1tZYm3t+wxo7VkMizhDPfNzOn1jd0ffJivP1S5DOWt5CRTVFRESUkJiYmJODk56T1Go9HwxBNPkJmZSXp6+oDdcQVjByGaUaaxsZEdO3awdu1ajhw5gpubG48++iipqanExcUZtfJsd0Xcx/RUjx3NNfoRSWe4b3qjMAJxDUcuQ31LOclcunSJy5cvk5CQIJs1ptVqeeqppzh06BDp6ek3bV2wGxEhGhPw17/+laeeeoqPPvoIR0dHNm/ezL/+9S/Gjx+va1k9ffp0o1aibW9vR6lU8kh4eK/HTZEUNmLxjHQA5ooBoqHRkEs3cpLpTtdPTEwcUDLPPfcce/bs4cCBAwSaWWdbwcgQohllWlpamD17Nu+//z7z58/XPd7W1saePXvYvHkzO3bswNHRkaVLl5KSksLMmTON1lMHrrZWUCqVrAwN1T1mqoQwg0inL+YsISNMrQ1XLjD84chJpqSkhIsXL5KQkCBbzkmr1fLCCy+wbds2Dhw4QHBw8DBHITBXhGhMgFarHXCKrKOjQ9dTZ/v27VhZWel66tx6661G66kDVzPgqqurWTF1qu4xU2YhG0U8A2EIKRl7XaYPIxELjDxrOl1GMqWlpRQWFhIfHy+7/0Wr1fLyyy+zYcMG0tPTmdrjcye4cRCiMXO6urpIT09n06ZNbNu2DbVa3aunjlyFW0O9d01NDQ9NmQKYTwbyqMvHjBipVLoxVOa0nGSuXLnChQsXiIuLw9XVVe8xkiTx3//93/z1r3/lwIEDhPeZxhXcOAjRjCHUajWHDx/WNXJraWlh8eLFJCcnc8cdd8jWiTIEGo2GmpoafjJ5skGEYejZrBtNPoYSSk8MEWj1fA05yZSVlXHu3Dni4uJkN1lKksRbb73F2rVr2b9/P1FRUQYYncBcEaIZo2g0Go4eParrqVNXV8fChQtJTk42ek+d7i6HywMDDSYMYy+jmKuIjCGUbgw1g6fvdeQkU15eztmzZ4mNjWX8+PF6j5Ekiffff5933nmHffv2ER9vpv85AoMhRHMDoNVqyczM1BX9LC8v56677tL11DFmEUKtVkt9fT33+fvfkPssrycoY4piqIzWvk85yVRUVHDmzBliYmJkd/JLksTatWt588032b17NzNmzDDAaAXmjhDNDYZWqyUvL0/XU6e4uJgFCxaQnJzM4sWLGTdunNHaG0iSxKVLl/h5VJRRRGEu8jEHjJFvMJjXlJNMZWUlp0+fvq5kPvvsM15++WV27drFrFmzRjBaw7B27VrefvttKioqiIiI4L333mPOnDmmHtYNx5gTTWdnJ0lJSeTl5ZGTk2MWbVvNle7WuN2RztmzZ3v11Bk/frxBpdM9Nx8ZGYmnp6eu/poxBXGjy8fcCgvoE01VVRUnT54kOjoaT09PvedJksRXX33F888/z7fffsu8efOGMVrD8s0337By5UrWrl3L7Nmz+fjjj/nss884ffo0/v7+ph7eDcWYE83TTz/NhQsX2LVrlxDNEOguy97d3iAvL485c+boeup4eXmNSDrdm/JiYmL6zc33rL822mIYCyIa5WzoYb/f2+npeHp64uXlpau4rFQqKSgouK5k1q9fz7PPPsu2bdu4/fbbhzkCw5KUlER8fDzr1q3TPRYWFkZKSgpr1qwx4chuPMaUaHbt2sWzzz7L5s2biYiIEKIZJt1TXN3SyczM7NVTx8fHZ9DS6S75XlZWRnx8vOymvJ60tLTo6q+ZmwjG4Daa62KI8eyuq6O6uhqlUkldXR2Ojo44OjqiVCqJiorCe4B6ehs3bmT16tVs2rSJhQsXGmA0I0elUuHg4MDGjRtJTU3VPf7000+Tm5tLRkaGCUd34zFmRFNVVUVCQgJbt27Fw8ODoKAgIRoDIEkSpaWlup46R48eJTExUVcKx9/fX1Y63b3ea2triY+PH1amW1tbG0qlkkcjIgDzE89YxNCi6ztd1tXVpatdZmFhgY2NDV5eXnh5eeHq6trr87J161Z+9atf8Y9//IOlS5caeGTDp7y8HF9fX77//vtea0VvvvkmX375JefOnTPh6G48jFfXxIBIksSjjz7KqlWrSExMpLi42NRDumFQKBT4+/vzzDPP8PTTT1NRUaHrqfPyyy8THR1NSkoKycnJBAcH6y4iHR0dnDlzhvb2dqZPnz7sPTwODg4EBgaS3tpKR0cHSqWSn4WF9TpGyEc/oxE56VuTaWpq4sqVK0RFReHp6UldXR1KpZK8vLyr56SnExoaipWVFU888QT/93//Z1aS6UnfmyhJkoyWLHMzY1LRvPLKK7z66qsDHnPixAmOHDlCU1MTL7zwwiiN7OZEoVDg4+PD6tWr+fWvf01NTY1OOq+//jqhoaGkpKSwYMECfve73zFjxgzeeOMNg1UnsLOzw9/fn/TWVjo7O6murubhadNkL6g3k4BMMR2nTzJ1dXXk5eURFhamK+Hv6emJp6cnkiTR0NDA5s2bee6552hoaCApKYmOjg4aGxvNqg2zh4cHlpaWVFZW9npcqVQOOA0oGB4mnTqrqamhpqZmwGMCAwN58MEH+fbbb3vdaWg0GiwtLVmxYgVffvmlsYd6U9PdU2fbtm1s2LCBvXv3Ymtry3/8x3/w05/+lPDwcKO2N+jq6qK6upqfhoQM6byxJCJzW9fRJ5n6+npycnIIDQ3Fx8dH9twDBw7wwAMP8Pzzz6NWq9m6dStnz55l3bp1/OIXvzDmsIdEUlISCQkJrF27VvdYeHg4ycnJIhnAwIyJNZqSkhKampp0/y4vL+fuu+9m06ZNJCUlib4Vo0RZWRl33XUXwcHBpKam8u2337J79258fHx002uxsbFGlY5araa6ulpXf83Q3IjJAENFn2QaGhrIzs5m6tSpA37fDh06xP333897773Hz3/+c93N4cWLF7Gzs8N3kO3GR4Pu9Oa//OUvzJw5k08++YRPP/2UU6dOERAQYOrh3VCMCdH0pbi4WCQDmID7778fV1dX/vKXv+jaFrS0tPCvf/1L11PHw8OjV08dY0qnZ/01gWGQk0xOTg5TpkzBz89P9tyjR4+SmprKn/70J1atWjUm1jrWrl3LW2+9RUVFBZGRkbz77rvMnTvX1MO64RCiEQya5uZmnJycZC8gbW1t7N69W9dTx9nZuVdPHWM2ctNqtdTW1rJcNMwaNvok09jYSHZ2NsHBwQNuYszMzGTZsmW89tprPPXUU2NCMoLRY0yKRmD+dHR0sG/fPl1PHWtra5YuXUpqaiqzZ882ak+dnvXXBINDLrssKyuLyZMnDziVlJuby+LFi3nppZd47rnnhGQE/RCiERidrq4uDhw4oOupo9FodI3c5s2bZ9SeOt2ZUKliHU8WfZJpbm4mKyuLwMDAAdsqnzx5kkWLFvHcc8/xwgsvCMkI9CJEIxhV1Go1hw4d0vXUaWtr0/XUWbBggVF76kiSRFNTE8kDZEzdbOiTTEtLC5mZmQQEBBAUFCR77pkzZ1i0aBFPPPEEr7zyipCMQBYhGoHJ0Gg0HDlyRNdTp6GhoVdPne56WsZAkiRaWlpYem0vyM3IQJLx8/MjODhY9tzz58+zaNEiHnnkEdasWSMkIxgQIRqBWaDVajlx4oSu0nRlZSV33nknKSkpLFy40Kg9dQBaW1tZ7OVl1PcwJ/RJprW1lczMTHx9fZkyQPp4UVERCxcu5IEHHuCdd94xamah4MZAiMZIFBcX8/rrr7N//34qKyvx8fHh4Ycf5qWXXjLqmsSNgFarJTc3Vyed4uJi7rjjDpKTk7nnnnuM0lNHrVaTk5ODQqFg2rRp1NbW6uqv3WgMJBkfHx+mTJki+/e9fPkyCxcuZOnSpXzwwQdCMoJBIURjJL777ju++eYbHnroIaZMmcLJkyf55S9/ycqVK3nnnXdMPbwxgyRJnDx5Uiedc+fOcdttt5GSksLixYsN0lOnq6uLnJwcrKysiImJ6ZWGLVd/bayiTzJtbW1kZmYyYcIEQkJCZP+eZWVl3H333dx5552sW7dOSEYwaIRoRpG3336bdevWUVRUZOqhjEkkSeLcuXO69gb5+fnMnTtX11PH09NzyNJRqVRkZ2dja2tLdHT0gHt9VCoVSqWSh6dNG+mvYhL0Saa9vZ3MzEy8vLyYOnWq7N+vsrKSu+++m1tvvZXPPvvMqHuiBDceQjSjyB/+8Ae+++47MjMzTT2UMY8kSRQVFemkk5WVxcyZM0lJSWHZsmVMnDjxutJRqVRkZWXh4OBAVFTUkO7Qh1t/zVTISSYrKwsPDw+mTZsm+/dSKpUsWrSI+Ph4vvzyS11VCIFgsAjRjBIXL14kPj6eP//5zzz++OOmHs4NhSRJlJSU6HrqHDt2jOnTp+tK4fj5+fW7iHZ2dpKVlYWzszMREREjmgZSq9XU1NTw4ABZWqZEn2Q6OjrIzMxk/PjxhIWFyUqmpqaGxYsXExoayvr164260VZw4yJEM0QG29ogMTFR9+/y8nLmzZvHvHnz+Oyzz4w9xJsaSZIoLy/XtTc4fPgwMTExuqKfkydPpqioiE8//ZSVK1cSHh5u0MQCjUZDbW0tDwyw/2Q00SeZzs5OMjMzcXV1HfD3r6+vZ8mSJQQEBPDPf/5TJLEIho0QzRAZbGuD7o2H5eXl3HbbbSQlJfHFF1+IBdRRRJIklEolW7duZfPmzaSnpxMcHMyVK1eYOXMmmzdvNnr9tbq6Ou43USVgOclkZWXh4uJCRESErGQaGxtZunQp3t7epKWlYWtra+zhCm5ghGiMSFlZGbfddhsJCQl8/fXXYgHVhEiSxIkTJ3R7ciorK5kyZQrJycmkpKQYvaeOVquloaGBeweofmxI9ElGpVKRmZmJs7MzkZGRspJpbm4mJSUFZ2dntm/fbtRqDYKbAyEaI9E9Xebv789XX33VSzITbuLd6Kbi7Nmz3H777Tz88MP86U9/orGxkW+//Za0tDR2797NpEmTdNKJiYkxqnQkSaKxsZEUI/VmkZNMVlYWjo6OREZGyv5+ra2t3HfffVhaWrJjxw4cHR2NMkbBzYUQjZH44osveOyxx/Q+J/7ko09paSkbN27kt7/9bb87+ebmZl1PnV27dul66qSmppKYmGh06TQ3N7Ns4kSDvJ4+yXR1dZGVlYW9vf2A2XXt7e0sX74clUrFrl27jF6NQXDzIEQjEPSgra2N7777js2bN7Nz505cXFx0PXVuueUWo05/SpJEa2srS4bZs34gydjZ2REdHS0rmY6ODh566CEaGxvZvXs348aNG9YYBAJ9CNEIBDJ0dHSwd+9eXU8dW1vbXj11jL2fpLW1FaVSyWORkdc9Vk4y2dnZ2NjYDDgdqFKpePjhh6msrGTv3r24ubmNeOyGRpR0GtsI0QgEg0ClUvXqqSNJEkuWLCElJcXoPXXg6rSWUqnkkfBw7u/z3JN6JKNWq8nOzsbKyorY2FhZyXR1dfHII49w6dIl9u/fj7u7uxFGP3JESaexjRCNQDBE1Go1Bw8e1PXUaW9vZ8mSJSQnJ3P77bcbPUurs7MTpVLJttBQQrdtw9nZGS8vL7y9vXFwcNAVCLWwsCA2NlZ2uk+tVvOLX/yCM2fOsH//frzGWPVqUdJp7CBEIxCMAI1Gw/fff6/rqdPY2MiiRYtITk7mzjvvNGpPHbgaaVVXV6NUKqmtrcXR0RG1Wo2NjQ0JCQmy03sajYZVq1aRnZ3NgQMHxmQmpCjpNHYQohEIDIRWq+X48eO6StNVVVXcddddup46Tk5ORn3/7s2YKpUKjUaDnZ0d3t7eeHl54ezsrMu202g0/OY3v+Hw4cOkp6fja6Q0a2MiSjqNLYRoBACsXbuWt99+m4qKCiIiInjvvfeYM2eOqYc1ZtFqteTk5LBp0ybS0tIoLS1lwYIFpKSkcM899+Di4mLw0jd5eXloNBri4uJQKBTU1NRQVVVFTU0NGo2GtLQ0UlNT2blzJ//+9785cOAAASaqWtCNKOl0cyBEI+Cbb75h5cqVrF27ltmzZ/Pxxx/z2Wefcfr0afz9/U09vDFPd0+djRs3smXLFs6fP8/tt99OcnIyS5Yswc3NbUTS6W4Up1ariY+P7zddptFoOHPmDK+++ip79+5Fo9GwYsUKHnvsMebMmWPSasyipNPNgRCNgKSkJOLj41m3bp3usbCwMFJSUlizZo0JR3bjIUkSZ8+e1U2vnTx5krlz55KcnDysnjparZa8vDxUKhXx8fGy1ZW1Wi3/9V//xTfffMPrr7/O8ePH2bp1K1qtlv379xMVFWWoX9FoiJJOYxchmpsclUqFg4MDGzduJDU1Vff4008/TW5uLhkZGSYc3Y2NJElcvHhR11MnOzubWbNmkZycPKieOlqtloKCAtrb20lISJCVjCRJvP7663zxxRccOHCAsGvdQjUaDYcPH+aWW24x+6KZoqTT2EbEnTc53fP33n12o3t7e1NZWWmiUd0cKBQKpkyZwvPPP8+xY8coLCwkOTmZtLQ0QkNDufPOO/nwww8pKSnpV7ZIq9Vy8uRJ2traBoxkJEnirbfe4vPPP2fv3r06yQBYWloyb948s5cMwJ49eygsLGT//v1MmjSJiRMn6n4E5o8QjQCg352zJEkGXawWDIxCoSAgIIBnn32WQ4cOcfnyZR566CG+++47oqKimD9/Pu+++y5FRUV0dnaycuVKcnNzSUhIkN0sKkkS7733Hh9++CF79uwZE9Njcjz66KNIkqT3R2D+CNHc5Hh4eGBpadkvelEqlf2iHMHooFAo8PX15amnnmL//v2Ulpbyi1/8goyMDOLi4ggKCiI9PZ3AwMABI5mPPvqId955h++++464uLhR/i0Egh8RornJ6d7Yt3fv3l6P7927l1mzZploVIJuFAoFEyZMYNWqVezatYvly5djb29PXFwcycnJJCUl8cYbb3Dq1Cm0Wi1wVTKffvopb7zxBjt37mTGjBkm/i0ENzumy2sUmA3PPvssK1euJDExkZkzZ/LJJ59QUlLCqlWrTD00QQ+efPJJMjMzycrKYuLEiTQ2NrJ9+3bS0tJ499138fPzY9myZVhZWfHRRx+xY8cOcbMgMAtE1pkAuLph86233qKiooLIyEjeffdd5s6da+phCXrw7bffEhcXx6RJk/o919zczM6dO1m/fj07duxg06ZN3HvvvSYYpUDQHyEageAGo6GhAVdXV1MPQyDQIUQjEAgEAqMikgEEAoFAYFSEaAQCgUBgVIRoBAKBQGBUhGgEAoFAYFSEaARjmjVr1jB9+nRdO+OUlBTOnTtn6mEJBIIeCNEIxjQZGRmsXr2aY8eOsXfvXtRqNXfddRetra2mHppAILiGSG8W3FBUV1fj5eVFRkaG2HAqEJgJIqIR3FA0NjYCMH78eBOPRCAQdCMiGsENgyRJJCcnU19fz6FDh0w9HIFAcA1RVFNww/Dkk0+Sn5/P4cOHTT0UgUDQAzF1JrgheOqpp9i+fTsHDhzQW3RSYHw6OzuJjY1FoVCQm5tr6uEIzAghGsGYRpIknnzySdLS0ti/fz9BQUGmHtJNy+9//3t8fHxMPQyBGSJEIxjTrF69mq+//pr169fj7OxMZWUllZWVtLe3m3poNxW7du1iz549vPPOO6YeisAMEckAgjGNQqHQ+/jf/vY3Hn300dEdzE1KVVUVCQkJbN26FQ8PD4KCgsjJySE2NtbUQxOYCSIZQDCmEfdJpkWSJB599FFWrVpFYmIixcXFph6SwAwRU2cCgaAfr7zyCgqFYsCfzMxMPvzwQ5qamnjhhRdMPWSBGSOmzgQCQT9qamqoqakZ8JjAwEAefPBBvv32215TmBqNBktLS1asWMGXX35p7KEKxgBCNAKBYNiUlJTQ1NSk+3d5eTl33303mzZtIikpSaSaCwCxRiMQCEaAv79/r387OTkBEBwcLCQj0CHWaAQCgUBgVIRoBAIzYs2aNSgUCp555hlTD2VYBAYGIkmSSG0W9EKIRiAwE06cOMEnn3xCdHS0qYciEBgUIRqBwAxoaWlhxYoVfPrpp7i5uZl6OAKBQRGiEQjMgNWrV7N48WLuuOMOUw9FIDA4IutMIDAxGzZsIDs7mxMnTph6KAKBURCiEQhMSGlpKU8//TR79uzBzs7O1MMRCIyC2LApEJiQrVu3kpqaiqWlpe4xjUaDQqHAwsKCzs7OXs8JBGMRIRqBwIQ0Nzdz+fLlXo899thjhIaG8vzzzxMZGWmikQkEhkNMnQkEJsTZ2bmfTBwdHXF3dxeSEdwwiKwzgUAgEBgVMXUmEAgEAqMiIhqBQCAQGBUhGoFAIBAYFSEagUAgEBgVIRqBQCAQGBUhGoFAIBAYFSEagUAgEBgVIRqBQCAQGBUhGoFAIBAYFSEagUAgEBgVIRqBQCAQGBUhGoFAIBAYlf8PxHiOfm+zGScAAAAASUVORK5CYII=",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"from mpl_toolkits.mplot3d import Axes3D\n",
"\n",
"ax: Axes3D = plt.figure().add_subplot(projection=\"3d\")\n",
"x = np.arange(-4, 4, 0.25)\n",
"y = np.arange(-4, 4, 0.25)\n",
"X, Y = np.meshgrid(x, y)\n",
"R = np.sqrt(X**2 + Y**2)\n",
"Z = np.sin(R)\n",
"\n",
"ax.plot_surface(X, Y, Z, rstride=1, cstride=1, cmap=\"hot\")\n",
"ax.contourf(X, Y, Z, zdir=\"z\", offset=-2, cmap=\"hot\")\n",
"ax.set_zlim(-2, 2)\n",
"\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.12.11"
}
},
"nbformat": 4,
"nbformat_minor": 4
}