{ "cells": [ { "cell_type": "markdown", "id": "eb8f37cd-bed2-4d17-ad39-ebe7ef1f27fc", "metadata": {}, "source": [ "# Численное решение дифференциальных уравнений\n", "\n", "## Решение с начальными условиями\n", "\n", "### Итеративное решение на примере модели Лотка-Вольтерра" ] }, { "cell_type": "code", "execution_count": 52, "id": "e6d4a5d6-e8f4-4457-b687-03a837168798", "metadata": {}, "outputs": [ { "data": { "image/png": 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v97WrnqgvXrwY7du3l7dzc3MxbNgwu89du3YtYmJi5O2DBw9iypQpNs9duXIlnnrqKTzyyCPy46Wlpbh48WK115Mm5z/33HNYvnw5GjZs6FJbzdp+1wCwZMkSTJkyBc8//7zNftnZ2YiNja32fKl2fMCAAXjmmWcwfPhwZGRk2NRY//DDD0hKSkJZWRl27dqFRx55BCUlJXjppZdQr149l/99Hf0ccXFxNf78joSEhOCXX35By5Yt0blzZ8yYMUNu3wqYrkTu2bMHixYtwu233y4/fvTo0Tq9HxEFrqeffhq///47xo0bh3feeQcjR460+f7p06cxe/ZsbN++HQ899JA8X+LLL7+EXq/HypUrbTLnK1assPs+KSkpSElJQc+ePdGrVy80bdoUiYmJGD16NOLi4lBRUYELFy7YnOyLooisrCz07NnT5rWuueYaOZt+4cIFvPnmm+jXrx/S0tKQkpIi7zdx4kT85z//gSiKOHv2LP773/9izJgxtX7WLV26FFu3bq32N9ZTXP15Hf2NkF6rLrKystCoUSN5u6KiAjk5OfLrSecT33zzjZzNp+DBwCYISR94Va+4LF++HC+//LL8QZ+fn48ff/wRAwcOhFarRXh4OIYOHYrdu3ejS5cuCAkJcer9QkJCMH36dDz33HOYNm2a3ZPytm3bonXr1tizZ0+1E3lHpGyUpKarMF27dpU/7OwRBAGiKNqUKgDARx99ZLcUYOfOnXj66afxyiuvYPTo0QBg8weyNrX9rqUxVR3PTz/9hDNnzqBVq1Y1vn5RURHOnj2LnJwcxMfHy4937txZ7pDTr18/rF27FkuWLMFLL71Up3/fL774ArNmzZKvXp48eRJbtmyxCRpdMWHCBLn87MMPP8T48eMxevRoudmF9D5Vfy//+9//6vR+RBS4evbsiTVr1mD69OkYPXo0oqOj5c+tFi1aID09HeHh4XjyySdtSnMFQYBOp7O56FNcXGxzEcWRoqIiAMDevXsxevRoXHXVVXjppZewZMkSPPTQQ/J+3377LQoLC3HVVVfZPD8uLs7m71ZSUhJSU1Pxyy+/YPr06fLjDRs2tNkPAK6//nrs27fP4djy8/Pxn//8Bw8++CA6dOhQ689SF67+vPv378eePXtsytE+//xzREVFoXv37nUaw9KlS3HFFVfI21999RUqKirkrqQjR46ETqfDsWPHMGHChDq9BwUuBjYqt2/fPnn+R05ODpYvX441a9Zg3Lhx1a6+a7VaDB8+HLNmzYLRaMSLL76IvLw8PP300/I+b7zxBgYMGICBAwfi3nvvRbNmzZCfn4+jR4/ixx9/lOtvq/q///s/DB48GF26dHE41v/9738YPXo0Ro4cialTp6JRo0a4ePEiDh48iF27duHrr7/2wG/EvujoaAwaNAgvv/wyGjRogGbNmmHDhg34+OOPqwViRUVFuPXWWzF06FA88MADdXo/Z37X11xzDRYtWoR27dqhS5cu+Ouvv/Dyyy9X6xDz8MMPIzk5Ge3atYNGo8H69evx6quvonfv3jZBDQDs3r0bWVlZKCsrw+7du7FmzRqbFtWu/vueP38e48aNw7Rp05Cbm4unnnoKoaGhmDt3bp1+L9bGjRuHu+66C/feey/69euHZs2aoV27dmjZsiUeeeQRiKKI+vXr48cff8SaNWvcfj8iCjwDBw7EgQMH8Oeff+LPP//EZ599huzsbEyZMgWdOnXCsGHDqn2GX3311XjttdcwadIkTJ8+HTk5OXjllVeqXTD59ddfsXr1agwYMABxcXE4evQoXnzxRej1evmC1vDhwzFy5Eg8/PDDyMvLQ//+/eUuYampqZg8ebLNa164cEEunc3Ozsabb74JQRCqzUO5fPkyDh06JGdCXnvtNYSFhaFz5844e/as3d/F999/j4SEBLvzKz3F1Z83OTkZ1157LebNm4ekpCQsWbIEa9aswYsvvojw8PA6jWH58uXQ6XQYPny43BWta9eucnfPZs2a4ZlnnsFjjz2G48ePY9SoUahXrx7OnTuH7du3IyIiwuZvLamMcn0LyJvsdUWLiYkRu3XrJr722mtiSUmJvK/UqevFF18Un376abFx48ZiSEiImJqaKq5ataraa6enp4t33nmn2KhRI1Gv14sNGzYU+/XrJz733HPyPlLXLOuuZ9YcfX/Pnj3ixIkTxfj4eFGv14uJiYnilVdeKb7//vvVfjZPd0U7ffq0OGHCBLFevXpiVFSUOGrUKHHfvn3Vus1Mnz5djIuLE8+ePWvzmq50RXPmd33p0iXxrrvuEuPj48Xw8HBxwIAB4qZNm8TBgwfbvM/LL78sdujQQQwPDxcjIiLEtm3big8//LCYk5NT7Xcmfen1ejElJUWcPn26mJ2dXW2Mzv77fvbZZ+K///1vsWHDhqLBYBAHDhwo7ty50+HPX/Xfx5q9jkEFBQViq1atxP79+4sVFRWiKIrigQMHxOHDh4tRUVFivXr1xBtvvFHMyMhgRxsistsVzZ5PPvlEbNu2rWgwGMQWLVqI8+fPFz/++GObbmM7d+4UBw0aJMbFxYl6vV5MTk4Wx40bJ27ZssXmtYqLi8WHH35YbNq0qajX68WkpCTx3nvvFS9dumSzX9OmTW0+h2NjY8W+ffuK33zzjc1+1vsIgiDGxcWJV155pbhu3TpRFB13RQMgfvHFFzavVVOXsapjc6Yrmqs/79VXXy1+8803YseOHcWQkBCxWbNm4muvveZwHM50Rfvrr7/EsWPHipGRkWJUVJR4yy23iOfOnau2/4oVK8ShQ4eK0dHRosFgEJs2bSrecMMN4tq1a+2+Pv+GqIMgilarUVFQOnHiBJo3b46XX34Zs2fPVno4qqaW3/X69esxdOhQfP3117jhhhuUHg4REfmZZs2aoVOnTli5cqVHXm/evHl4+umnceHChRpLyym4sSsaEREREREFPAY2REREREQU8FiKRkREREREAY8ZGyIiIiIiCngMbIiIiIiIKOAxsCEiIiIiooDndwt0Go1GnD17FlFRUfIq40RE5BuiKCI/Px/JycnQaHjtS8K/TUREynDl75LfBTZnz55FSkqK0sMgIgpqp06dQuPGjZUeht/g3yYiImU583fJ7wKbqKgoAKbBR0dHKzwaIqLgkpeXh5SUFPmzmEz4t4mISBmu/F3yu8BGSvFHR0fzjwcRkUJYbmWLf5uIiJTlzN8lFlATEREREVHAY2BDREREREQBj4ENEREREREFPL+bY+MMURRRUVGByspKpYfil7RaLXQ6HWvkiYiIiChoBFxgU1ZWhszMTBQVFSk9FL8WHh6OpKQkhISEKD0UIiIiIiKvC6jAxmg0Ij09HVqtFsnJyQgJCWFWogpRFFFWVoYLFy4gPT0drVu35iJ7RERERKR6ARXYlJWVwWg0IiUlBeHh4UoPx2+FhYVBr9fj5MmTKCsrQ2hoqNJDIiIiIiLyqoC8lM8MRO34OyIiIiKiYMKzXyIiIiIiCngMbIiIiIiIKOAxsPEjgwYNwueff17jPm+//TauvfZaH42IiIiIiCgwMLDxEytXrkRWVhZuvvlm+TFBELBixQqb/aZNm4YdO3Zg8+bNPh4hEREREZH/YmDjJ958803ccccdtU76NxgMmDRpEt566y0fjYyIiIiIyP8FfGAjiiKKyioU+RJF0akxXrhwAYmJiXj++eflx7Zt24aQkBCsXr0a2dnZWLt2rU2JWbNmzQAA48aNgyAI8jYAXHvttVixYgWKi4s98jsMJt+nncF9S/9Cfkm50kMhP/fL3kzc89lfuFhYpvRQiDyuvNKIg5l5yMgpQkGp6e9ZZm4xFv6Rjskfb8P0xTuxdNtJnL5UhEqjiHN5Jdhz6jKyckuUHjoRkUMBtY6NPcXllejw5CpF3vvAMyMRHlL7r7Bhw4b45JNPcP3112PEiBFo164dbrvtNtx3330YMWIEVqxYgfDwcLRv315+zo4dOxAfH4+FCxdi1KhR0Gq18vd69OiB8vJybN++HYMHD/bKz6ZGR8/n48Ev0wAAozol4dquycoOiPzavUt3AQCMoogPpvRQeDREnrPjxEXMXb4XR88X1Ljf6gPn7D7eq3l9/PvK1ujfKo6LZBORXwn4wCZQjBkzBtOmTcOtt96Knj17IjQ0FC+88AIA4MSJE0hISLApQ2vYsCEAIDY2FomJiTavFRERgdjYWJw4cYKBjQv+Pp0r37/Eq/DkJEcnd0SBZMuxbGw+ko131x9z+7W2p1/EbR9vk7c7N4pBSv0w9GpWH7f0bgKDTlvDs4mIvCfgA5swvRYHnhmp2Hu74pVXXkGnTp3w1VdfYefOnQgNDQUAFBcXy/edfu+wMBQVFbn0nGB3Pr9Uvn+piIENOZZnVaro6v9zIn8iiiJeXX0Yb6876tT+0aE6hOi0MOg0CNFpUFxWiay8msvP9p7Jxd4zufh5bxY+2pyO/4xsi7FdkqHRMJtDRL4V8IGNIAhOlYP5g+PHj+Ps2bMwGo04efIkunTpAgBo0KABLl265NJrXbx4Uc7qkHPO51kCm8tFnGNDjp2+aJm/ZnRyLh2RPxFFEX+fzsV17/zhcJ/b+jTBlL7N0KphpFNBiNEo4mBWHtYcOIfPtp5Ejp3M9+lLxXjwyzQ8/t0+/G/yFejXqoFbPwcRkSsCIyJQgbKyMtx666246aab0K5dO9x1113Yu3cvEhISkJqaiqysLFy6dAn16tWTn6PX61FZWVnttY4dO4aSkhKkpqb68kcIeOfyLVcdOSGcapKZawlsSiuMqKg0QqcN+F4rFCRyi8px0wdbcSgrv9r3nh/XGVd3TkJMuN7l19VoBHRMjkHH5BjMHNYGeSXl2HwkG8+tPICzVZoK5JdWYNJHpnK1R0a3w+19myEshNlPIvIuBjY+8thjjyE3NxdvvvkmIiMj8csvv+Cuu+7CypUrkZqaioYNG+KPP/7ANddcIz+nWbNm+O2339C/f38YDAY56Nm0aRNatGiBli1bKvXjBKQLeSxFI+dcqpLRKyytREw4Axvyf5VGEVe+ur5aNuXbe/viiqb1Pfpe0aF6jOmchDGdkyCKIlYfOId/ffZXtf1e+OUQXvjlENomROGmnikY2zUZDaMMHh0LERGggnbPgWD9+vVYsGABPvvsM0RHR0Oj0eCzzz7D5s2b8d5770Gr1eLOO+/E0qVLbZ736quvYs2aNUhJSbHJznzxxReYNm2ar3+MgJdTyMCGnHO5yvGRX8rSRfJ/pRWVaPnozzZBzZXt4nHs+TEeD2qqEgQBIzsm4sQLV+PAMyPx2Jj21fb551w+nll5AD3/uxbfp51xeskEIiJnMWPjA0OGDEF5ue2JUZMmTXD58mV5e+bMmejYsSNOnjyJpk2bAgDGjh2LsWPH2jxv3759SEtLw1dffeX1catNQWmFfD+vuKKGPSnYVZ2DVVhavSSUyJ/sPHERN7y/1eaxt25JxVgF2tqHh+gwbVAL3D2wObalX8TML9OqNSB48Ms0LNpyAh9O6YEGkczeEJFnMGPjJxISEvDxxx8jIyOjxv3Onj2LxYsXIyYmxkcjU4+CEkswU1rBE1VyrGpGr4AZG/Jj9oKaX2cOVCSosSYIAvq0iMOfj16FLY9ciTYJkTbf351xGT2eW4sXfz2k0AiJSG2YsfEj1113Xa37jBgxwgcjUZ9Ko4jCMkswU1ZhVHA05O8uF9sGMgXM2JCfqjSK1YKadbOHoHmDCIVGZF9ybBhWPzQYhaUVmPLJdvx10tIJ9L31x/De+mN4+tqOuKVXE4ToeM2ViOqGnx4UFArLbEvPShnYUA2qzrEpLGXpIvmn2V/vsdle/dAgvwtqrEUYdPj23n7Y//RI9GsZZ/O9p37YjzaP/4LX1hxGdkGpg1cgInKMgQ0FBesyNIAZG6qZNMdGWtqj6vFD5A++TzuD73afkbe/mNYHbRKiFByR8yIMOnw+rQ+2P3YVEqJt59i8+dsR9HhuLf44mq3Q6IgoUDGwoaBQ9Yp7hVFEpZEdeci+fHMgI7Wk5Zws8jenLhbhwS/T5O3/juuEvlUyIIEgPioU2x4dhpUPDKj2vVs/2oYXfjkEIz+richJDGwoKOSbA5v6ESHyY8zakCNSB7164abjpaySJ1bkX6575w/5fpuESNzau6mCo3Ffp0YxOPHC1Zgzqq3N4+9vOIYWj/6MC/ksTSOi2jGwoaAglRIxsCFnVA1syit5rJD/OHahABet1qr5+d8DFRyNZ903pBX2Pz2y2gKePf9r6p7GtW+IqCYMbCgoSCeqsWF6COZ5EywvInvKKoxy0FsvQg8AKGcQTH6i0ijiqlc3yNs/3N8fOq26/pRHGHTY8dgwLLqjp83j760/huZzf8ZfJy8qNDIi8nfq+jQkckAKbKJCdQgxnwSwMxrZYz0fK5YZG/IzL1VZ86VL41hlBuIDQ9rGY++8ERjUpqHN4xPe24rJH2/D8QsFCo2MiPwVAxs/MmjQIHz++ec17vP222/j2muv9dGI1EMqRYsM1cNgXiOhjCerZIcUBIfptQjTawFwjg35h0qjiP9tPC5v73t6pIKj8Y2oUD0W39kLC6faZm82HcnGla9uwHMrD/DCAxHJGNj4iZUrVyIrKws333yz/JggCFixYoXNftOmTcOOHTuwefNmH48wsEknq5EGLUJ0ppPV0nL+MaTqpGMlwqCD3pzd44kT+YPPt2fI93s2q4dIQ/CssT20XTzSnhyOJvXDbR7/aHM67li4A7lVFtUlouDEwMZPvPnmm7jjjjug0dT8T2IwGDBp0iS89dZbPhqZOlgCGx0zNlQj27JF04QsBja+s3HjRowdOxbJycl2L+4IgmD36+WXX3b4mosWLbL7nJKSEi//NJ71xIp98v0ld/dWcCTKiA0PwcY5Q/H8uM42j28+mo1RCzbiZE6hQiMjIn8R+IGNKAJlhcp8OdmdZfHixYiLi0NpqW27ygkTJmDKlCnIzs7G2rVrbUrMmjVrBgAYN24cBEGQtwHg2muvxYoVK1BcXOz2ry9YWAIbSylaaTmbB1B1UtlihEHLjI0CCgsL0bVrV7z99tt2v5+ZmWnz9cknn0AQBEyYMKHG142Ojq723NDQUG/8CF7x675M+X7r+EgYzJnnYDSpdxPseGyYzWOZuSUY/PJ6bDueo9CoiMgfBH4eu7wIeD5Zmfd+9CwQElHrbjfeeCP+/e9/44cffsCNN94IAMjOzsbKlSvx66+/YvPmzQgPD0f79u3l5+zYsQPx8fFYuHAhRo0aBa3W8kesR48eKC8vx/bt2zF48GDP/1wqZJljo0MIMzZUA+vsnl46Vio4x8ZXRo8ejdGjRzv8fmJios32999/j6FDh6JFixY1vq4gCNWeGygqjSLuWbJL3v5uRn8FR+MfGkYZkD5/DP7zzd/45q/T8uM3ffAnXpzQGTf1bKLg6IhIKYGfsQkAYWFhmDRpEhYuXCg/tnTpUjRu3BhDhgzBiRMnkJCQYFOG1rChqQtMbGwsEhMT5W0AiIiIQGxsLE6cOOGznyHQ2c6xkU5WGdhQdTaBDTM2fu3cuXP46aefcNddd9W6b0FBAZo2bYrGjRvjmmuuwe7du2vcv7S0FHl5eTZfStlw+LzNdjDNramJIAh45cauWFEl0Hv42724+9MdMBp5QYIo2AT+p6M+3JQ5Ueq9nTRt2jT07NkTZ86cQaNGjbBw4UJMnToVgiCguLjY5ZKIsLAwFBUVuTrioCVnbKxL0RjYkB2FVoEN59j4t08//RRRUVEYP358jfu1a9cOixYtQufOnZGXl4c33ngD/fv3x549e9C6dWu7z5k/fz6efvppbwzbZXcu2infXztrkIIj8U/dUmJx+LnR6P7sGvnCxNqD59Hi0Z+x/+mRiGAgSBQ0Aj9jIwimcjAlvqSVHp2QmpqKrl27YvHixdi1axf27t2LqVOnAgAaNGiAS5cuufRjX7x40SaLQzWTr8Jbl6IxsCE78kssXdGkY4WBjX/65JNPcOutt9Z6YahPnz647bbb0LVrVwwcOBBfffUV2rRpU2MTlrlz5yI3N1f+OnXqlKeH75SqWYdW8VGKjMPfheg02Pf0SDx+dXubxzs+tQrb07mgJ1Gw4GUMH7r77rvx+uuv48yZMxg2bBhSUlIAmIKerKwsXLp0CfXq1ZP31+v1qKysPsH92LFjKCkpQWpqqs/GHugKbK7CSxkbNg+g6gqtgmCpFI3r2PifTZs24Z9//sGyZctcfq5Go0HPnj1x5MgRh/sYDAYYDAZ3hugRC7eckO8/NbaDcgMJEHcPbIEhbeMx7LUN8mMT/7cVN/VIwQsTOkNw4YIkEQWewM/YBJBbb70VZ86cwYcffog777xTfjw1NRUNGzbEH3/8YbN/s2bN8Ntvv8lBj2TTpk1o0aIFWrZs6bOxBzp78yYqWH9NdsjHSojVHBtm9/zOxx9/jCuuuAJdu3Z1+bmiKCItLQ1JSUleGJlnPbvygHx/St9myg0kgLSKj8SBZ0YiMdqSyVu28xSaz/0ZZy6zmyiRmjGw8aHo6GhMmDABkZGRuP766+XHtVot7rzzTixdutRm/1dffRVr1qxBSkqKTXbmiy++wLRp03w1bFWw7oqmM8+bqOBVeLIj307GhqVovlNQUIC0tDSkpaUBANLT05GWloaMDMvilHl5efj6669x9913232NKVOmYO7cufL2008/jVWrVuH48eNIS0vDXXfdhbS0NNxzzz1e/VnclVNgu0SAVsNsg7PCQ3TYOvdKPDK6nc3j/V/4HV/tOAXRyeUaiCiwsBTNxzIzM3HrrbdWK3GYOXMmOnbsiJMnT6Jp06YAgLFjx2Ls2LE2++3btw9paWn46quvfDbmQFdaUSm3do406KDVMGNDjtk0D9CxeYCv7dy5E0OHDpW3Z82aBQC4/fbbsWjRIgDAl19+CVEUccstt9h9jYyMDJsuk5cvX8b06dORlZWFmJgYpKamYuPGjejVq5f3fhAPeOM3S6nc92zx7DJBEHDP4Jbo0yIO179jqYiY8+3f+PHvs3j9pm5oEKl8uSEReQ4DGx+5ePEiVq9ejd9//93uwnMJCQn4+OOPkZGRIQc29pw9exaLFy9GTEyMN4erKoWllrk0kQYd9OarnpVGnqxSdZYOepxjo4QhQ4bUejV9+vTpmD59usPvr1+/3mb79ddfx+uvv+6J4fnU4q0n5ftdU2KVG0iA65YSiz1PjkDXZ1bLj206ko0L+aUMbIhUhoGNj3Tv3h2XLl3Ciy++iLZt29rd57rrrqv1dUaMGOHpoamedKIaHqKFViPI5RzM2JA9BSxFIz/ANVg8KyZcj/T5Y3DrR9uw5VgOAGD0G5vwweQrMKJjYC7cSkTVMbDxES6mqZz80nIAkNcykObYVPIqPNkhBTYRBh2kxAEDG/K1xVtPyPe/+ldf5QaiIoIg4PNpffDZnyfxxIp9AIDpn/2FW3o1wfzxnRUeHRF5ApsHkOpJGZsoc2DDjA3VRJpjE2XVGpxd0cjX5v1o6YbWq3l9BUeiPpP7NMWvMwfK219sz0Dbx3/h2mZEKhCQgQ27mdSOvyOLwjJLaREA6OTmAfwjRtVZZ2z05uYBnGNDpC7tEqNx4JmR8nZphRFtHv8Fpy4WKTgqInJXQAU2er0eAFBUxA+e2ki/I+l3FszyrSaDA8zYkGOlFZUoNwcxkaE6OQgu42Ku5EMX8i1tnqf2a6bcQFQuPESH9Plj0M2qMcPAl9bhp78zlRsUEbnFpTk28+fPx/Lly3Ho0CGEhYWhX79+1SbDi6KIp59+Gh988AEuXbqE3r1745133kHHjh3dHqxWq0VsbCzOnz8PAAgPD+cqwlWIooiioiKcP38esbGx0Gq1Sg9JcdZX4AHOsSHHpLJFAIgI0UGvLQMAMAYmX3r0u73y/dkj7TebIc8QBAErZvTH+xuO4YVfDgEAZny+C78faoyXbujCtYOIAoxLgc2GDRswY8YM9OzZExUVFXjssccwYsQIHDhwABEREQCAl156Ca+99hoWLVqENm3a4LnnnsPw4cPxzz//ICoqyu0BJyaaupdIwQ3ZFxsbK/+ugl3VOTY6ZmzIASkIljroaQTpWGHZIvnOmgPn5PtSppm8657BLZGaEoubPvgTAPDtrtNYvT8L6/4zhC2hiQKIS5+Yv/76q832woULER8fj7/++guDBg2CKIpYsGABHnvsMYwfPx4A8OmnnyIhIQGff/45/vWvf7k9YEEQkJSUhPj4eJSXl7v9emqk1+uZqbFSWGo7x0ZaoLOSgQ1VUVBqW7YoZfcY15CvcH6kcnq3iMMfj1yJ/i/8DgDIL61Aj+fW4pt7+qJHMzZwIAoEbl0Kys3NBQDUr2/6D5+eno6srCybtVYMBgMGDx6MLVu22A1sSktLUVpqqSfOy8tz6r21Wi1P3skp+VVPVpmxIQcKqs7HYsaGfGz/WcvfwP+wDM3nGsWGYd/TIzHmjU3IMDcSuOH9rXhsTHvcPbA5y9+J/FydmweIoohZs2ZhwIAB6NSpEwAgKysLAJCQkGCzb0JCgvy9qubPn4+YmBj5KyUlpa5DIrJLOlmNqNI8oJInq1RF1Q560rFiFHklnXzj2ZWWNs939G+m3ECCWKRBh3Wzh+CWXpbzkf/+fBCPfLuXC6cS+bk6Bzb3338//v77b3zxxRfVvlf1ioYoig6vcsydOxe5ubny16lTp+o6JCK7pPKiqNAqGRs2D6AqpA56ESG2rcEBli6Sb2xLvyjfDw/h/BqlaDUC5o/vgv+O6yQ/tmznKdy3dBeDGyI/VqfA5oEHHsAPP/yAdevWoXHjxvLj0mT1qtmZ8+fPV8viSAwGA6Kjo22+iDyp6rwJtnsmRwpLTW2dpYyNVVzD44UoCN3auymW3NVb3v51fxZueH8LgxsiP+VSYCOKIu6//34sX74cv//+O5o3b27z/ebNmyMxMRFr1qyRHysrK8OGDRvQr18/z4yYyEVVAxu9ls0DyL6CUlNDEst8LGZsyHfKKy3lsaM6squlvxjQugHWzhosb+/KuIw+83/jZwKRH3IpsJkxYwaWLFmCzz//HFFRUcjKykJWVhaKi4sBmErQZs6cieeffx7fffcd9u3bh6lTpyI8PByTJk3yyg9AVJtqE8I1nBBO9jk6VgCgknNsyMuW7bCUYj8xtoOCI6GqWsVHYvcTw+Xt8/mlaPnozwxuiPyMS4HNe++9h9zcXAwZMgRJSUny17Jly+R95syZg5kzZ+K+++5Djx49cObMGaxevdoja9gQ1UVBlXbPOrl5AP8gka0Ccyla1UYTABd0Je97fMU++X6j2DAFR0L21IsIweHnRiM8xNKRteWjP6O0olLBURGRNZdL0ex9TZ06Vd5HEATMmzcPmZmZKCkpwYYNG+SuaURKcJyx4Ykq2ZJK0aRGE9aLjjNjQ0QhOg32Pz0SXVNi5cfaPv4rLhWWKTcoIpLVuSsaUSAQRREFVVr4SosusisaVSU1D4gwX5EVBIEZPiKyIQgCvp/RHxO6W5onpT67BscvFCg4KiICGNiQyhWVVUK60G7J2JgOe86xoarkxVxD9fJjGmb4yAesu2zdeEXjGvYkf/HqxK6YOay1vH3lqxuw9ViOgiMiIgY2pGrS/BqNAITpTVfh9bwCTw4UVumgB1jmZLG9K3nT2oPn5PsPDW+j4EjIFTOHtcH88Z3l7Vs+/BNf7eB6fERKYWBDqpZvNb9GWiSWc2zIkarzsQAeL+Qbz/10UL6fzMYBAeWWXk3w/m3d5e053/6N+T8f5MUQIgUwsCFVk67AR1mVFklzbJixoaqqdtADLIFNJUsXyYsyLhYpPQRyw6hOSVh8Zy95+38bj2P6ZztRXMaOaUS+xMCGVE06UY0wWNpzynNs2DyAqrAs5mo5XizNAxQZEhEFiEFtGuLzu3vL22sPnseE97Ygv6RcwVERBRcGNqRq+XZKi3RcoJPsEEVRzvBF2C1F4/FC3qfXCrXvRH6rX6sG+HJ6H3n7QGYeJn24DUXm7pxE5F0MbEjVCux0ueKcCbKntMIoHxM2c2wEli6Sd5VbpQNnDG2l4EjIE/q0iMNX/+orb+89k4vbPtqGknKWpRF5GwMbUjV5jo3Viaqec2zIDim7BwARIVaBDY8X8rLfrDqiTe7TVMGRkKf0al4f395rCW52ZVzG7Z9sR1kFM79E3sTAhlSNc2zIWXIZWohWXrsGYMaGvO+ddcfk+3GRBgVHQp50RdP6WH5fP3l7W/pF3PXpDlRwwh6R1zCwIVWzzLGx6orGdWzIDnsd0QCWLpL37T2Tq/QQyEu6N6mH72f0l7c3HcnGvz77i39/iLxEnYFNYQ6w/kXgMhfJCnYFpaZuNPba98onqkYjIPKPTLArsLM4JwDozBk+eU2KSk4CJiLndU2JxY/3D5C3fzt0Hvd/vovr3BB5gToDm59mAeufB5ZMUHokpLDCUtNkzShHXdFEEfjseuCt7kB5sRJDJD9hb3FOAHJZWoVRNH2mvJUKFF30+fiIKHB1bhyDlQ9Ygptf9mXhoa/SIPKiGpFHqTOwOfyr6Tb7H2XHQYqTS9GsMjYa61K0E5uB9A3AxeNA9hFFxkj+obDMfimaXLpYaQSOrgUuZwB/vufz8ZH69WpWX+khkBd1ahSDn/89UN7+Pu0sHv72bwY3RB6kzsBGF6r0CMhPSKVoEXba94oigIytlp2LeRU+mElBsHVHNMBSuihaZ/TO/OWzcZG6SSWQAHBbX3ZEU7sOydFYNXOQvP3VztN48vv9Co6ISF3UGdjowyz3K7nibzArsNPuWWPd5aqswLJzUY5Px0b+pbbmAUJpnuXByjKfjYvU7ee/M+X7IzokKDgS8pW2iVFY85AluPnsz5N4buUBBUdEpB7qDGys07p5Z5UbBymuwG4pmum2UhRt59UUMrAJZoUOmgdIgY2mLN/yYAm7WJFnfPbnSfl+qF5bw56kJq0TorB21mB5+6PN6Xjp10MKjohIHdQX2BiNQOEFy7b1VVYKOgXm5gE2K8mbT1SNRhEoL7LszIxNUMt30DxAmmMjlFl9lpRc9tWwSOXY6jl4tYqPxO//Zwlu3l1/DAvWHlZwRESBT32BTUUxIFZatkvzHe9Lqie3e7ZTimYURaDMOrDJ9unYyL8U1lKKprUJbHgySkTua9EwEutnD5G3F6w9gnfXH1VuQEQBToWBTantdmmB/f1I9corjSgpN63wbD+wAURmbMjM0To2llI0q8+SkjxTdpiIyE3NGkRg43+Gytsv/foPPtp0XMEREQWuIAhsWIoWrAqtug1F2ClFA2A7x4ZBcFBzvECn6XjRWWdsIAJlzAZ7w8aNGzF27FgkJydDEASsWLHC5vtTp06FIAg2X3369Kn1db/99lt06NABBoMBHTp0wHfffeeln4DIdU3iwrFpjiW4ee6ng/h0ywnlBkQUoNQX2FRWDWx48hGspBNVg06DEJ3lUJfaPQOAaF2KVlbos7GR/5GOl4iqC3SajxdNeZXPEpajeUVhYSG6du2Kt99+2+E+o0aNQmZmpvz1888/1/iaW7duxU033YTJkydjz549mDx5MiZOnIht27Z5evh1xo5olFLfNrh56of9+HxbhoIjIgo8utp3CTAVVdqwMrAJWo6uwAvW4bx1KVoZMzbBrNBOa3AA0GnNc2wqim2fUHwZiG3ii6EFldGjR2P06NE17mMwGJCYmOj0ay5YsADDhw/H3LlzAQBz587Fhg0bsGDBAnzxxRdujdcdRWWWrPJ13RopNg7yH1JwM/CldQCAR7/bC51WwMQeKQqPjCgwqC9jU1Fiu83AJmjZa/UM2GZsbErRmLEJatLxUjVjo5X7g1dZE4vHi2LWr1+P+Ph4tGnTBtOmTcP58+dr3H/r1q0YMWKEzWMjR47Eli1bHD6ntLQUeXl5Nl+etuPEJfn+wDYNPP76FJiqZm7mfPM3lu86reCIiAKH+gKbqgvnMbAJWvm1TAYHAJRbnZzyRDWo5TvqimY+XARjlcDGOttHPjN69GgsXboUv//+O1599VXs2LEDV155JUpLSx0+JysrCwkJtqVeCQkJyMrKcvic+fPnIyYmRv5KSfH8FfNV+y3vHx2q9/jrU+CqGtzM+moPftjDdfmIaqO+wKZa8wAGNsHK0YKL1gkbgRkbAiCKosNSNCljI1S9aMLARhE33XQTrr76anTq1Aljx47FL7/8gsOHD+Onn36q8XmC9X98mP7Nqz5mbe7cucjNzZW/Tp065ZHxW1u9/5zHX5PUI6V+uE23tH9/sRs/781UcERE/k+FgU2VUjR2LgpaBQ4WXHRcilYAiKIvhkZ+pri8EkbzP331UjTTbfWMTZU5N6SIpKQkNG3aFEeOHHG4T2JiYrXszPnz56tlcawZDAZER0fbfHladoHjLBMRYOqWtuE/Q+Tt+5buwq/7HGcaiYKd+gKbaldVefIRrApqW3ARlVVOVkUeL0FKOlYEAQgP0dp8T17HhqVofiknJwenTp1CUlKSw3369u2LNWvW2Dy2evVq9OvXz9vDI3Jb07gIm0U871nyF9YcYLaPyB71BTZVS9F4ohq08h1kbKTyEz0qqj2H5WjBSc7uheiqlSdJ7Z6ZsfGNgoICpKWlIS0tDQCQnp6OtLQ0ZGRkoKCgALNnz8bWrVtx4sQJrF+/HmPHjkWDBg0wbtw4+TWmTJkid0ADgAcffBCrV6/Giy++iEOHDuHFF1/E2rVrMXPmTB//dER106xBBH7/v8Hy9rTFO/H7IQY3RFUxsCHVcjTHBjBdhdej0vKAxrwPWz4HpcJS07FQNbsHWK1jY6wSCDMI9oqdO3ciNTUVqampAIBZs2YhNTUVTz75JLRaLfbu3YvrrrsObdq0we233442bdpg69atiIqKkl8jIyMDmZmWuQj9+vXDl19+iYULF6JLly5YtGgRli1bht69e/v85yOqqxYNI7F21iB5+85FO7HuUM0dAYmCjfrWsZEW6NSFmubbMLAJWlLGJsrOyapWEKCzztiExgBFOTxZDVL5paZsTNX5NYCdUjRBC4iV/GzxkiFDhkCsYa7bqlWran2N9evXV3vshhtuwA033ODO0LymRcMIpYdAAaJVfBRWzRyEkQs2AgDuWLQDi+7oiSFt4xUeGZF/UG/GJjTWdMs6+KDlaIFOwDSXQgejtAWERJru8ngJSnLGxs6xIpeiiebAJjTGdMvAhjxkUOuGSg+BAkjbxCj8/O+B8vbUhTuw8fAFBUdE5D/UG9iExZpuefIRtPJKTCeiUXbWh9BqBOikUjStHtCHme7zeAlKBaXSsWIvY2O+NVYNbJjdo7orLrOUwg7i4pzkog7J0fjx/gHy9pRPtmPTEQY3ROoLbKRStLB6plueqAYtR13RAHMpmmAuRdNYBTZV24VTUCgwZ2wiQmqaY2MObHjRhDzgr5OX5Pu9mscpOBIKVJ0bx+C7+yyd/SZ/vB2bj2QrOCIi5akvsKkwt3tmKVrQq2mOjca6eYBWB+ikjA2Pl2Akd0VzcKwAVoGNnLHhsUJ1Z3113V4JJJEzUpvUw9f39JW3b/t4G4MbCmrqC2wqq5SiGcuBSjttfUn1pJPVKEP1UjSNAEspmkYP6ENN98uZsQlGUima3Q565oyNVppjYzAv1MiMDblhy7EcpYdAKtGzWX18Ps3S4e+2j7exLI2ClvoCm6rNAwCggicgwSi/pKZ5E9YZGz2gDzfd57ESlGpsHiBlbETzBRIpY1PGjA3V3d4zuUoPgVSkX8sGWHxnL3l78sfb2VCAgpL6Apvk7kDXSUATq/UJeGU16FQaRRSW1bw2idzuWaM3tQcHeKwEKals0W67Z4dzbBjYEJH/GNSmIT6+vYe8PeUTBjcUfNQX2HS5ERj3HtBxnOUqPE9Ago7UOABwMMdGEKCV2j1rtFalaAxsglFhDY0mzAkbaKtmbHisEJGfuap9At6/rbu8PeWT7Vj/DxfxpOChvsDGGlv4Bi0psAnRamDQaat933EpGufYBCPpeImqoRRNnmMjNybh5woR+Z9RnZLwxs3d5O2pC3cg7dRlxcZD5EsqD2yYsQlWNc2vAQCNBrbtnlmKFtSkwMZuKVq1wIbr2BCRf7uuWyO8fEMXefv6d/5ARg7PhUj9VB7YMGMTrGpq3wuYStFs2j3zWAlq8ppHNXZFYykaEQWOG3uk4MlrOsjbg15eh0uFZQqOiMj7GNiQKtW0hg1gXqDTpt0zF+gMZoU1BDbVS9Gs1rERRZ+Mj9SrfVK00kMgFbtzQHPcP7SVvJ367BqUlFcqOCIi71J3YKNjYBOs8ms4UQVMJ6s66zk2XKAzqNW4QKej5gEAA2FyW7eUWKWHQCo3e2RbTOzRWN5u98SvqDTyogypk7oDG2ZsgpZljk31xTkB08mqXm73rOMCnUFMFEUUlElzbOw3mgBE+4EN17KhOhCtMn2pDGzIB166oSv6t4qTt9s/+auCoyHyHpUHNmweEKykK/D2ulwB0jo2Uimajgt0BrGiskq5oizKUD0QllqDa2DeSRcKaA2m+/xsoTo4l1cq3+/WJFa5gVBQWXJXbzSuZ7rgW1ZhxOg3Nik8IiLPU3lgw4xNsKp1jo1GgE6wLkVjV7RgJTUO0AhAqL76R6JWY7XmEQAIGn62kFusW+82bxCh3EAoqAiCgE1zhsrbBzPzcO+SvxQcEZHnBUlgw6uqwaaghgUXgaoZG6t1bHiiGnSsyxYFcwc0axoB0MJqsq11ho+fLVQHf5++LN/Xa9X9Z5j8iyAISJ8/Rt7+ZV8Wnv/5oIIjIvIsdX+i8mQ1aOXVNsfGpnmA1RwbTgYPOnm1ZPekUjTLA1oghIEN1d3+s3lKD4GCmCAIOPLf0fL2BxuP45PN6QqOiMhzVB7YsFwkWMldrhzMsdEKsKxjo9Gzg14Qs5Qt2g+CtRoBGptSNK3ls4XNA6gO9p/NVXoIFOT0Wg32PT1S3n5m5QH8sOesgiMi8ozgCGw4ITzoODXHRuqKptUzCA5illI0x8dKtYyNjp8tVHfZBVwkkZQXadDhz7lXydv//mI3Nh6+oOCIiNwXHIENT1aDjjTHxtHJqlCtKxpL0YKVFARH11iKZrXmg03zAB4vRBS4EmNCsWrmIHl7yifb8dfJSwqOiMg9Kg9sWAcfrGpbx0YrCJZStKoLdHI1+aAiHSvRDtc8sipFE7SAIDAbTESq0TYxCp/f3VvenvDeFpZLUsBSeWDDjE2wkruiOZpjoxGgFawzNuZjRTQCleW+GCL5ibzi2soWYZXdMy/gyc8WIlKRfq0a4NUbu8rbV7+5GUfO5Ss4IqK6YWBDqlRbpyuhavMA6VgBeBU+yNSW3dMIAjSCVcYGYLMJIlKdCVc0xkPD2sjbw1/fiPTsQgVHROQ6dQc2PPkISqUVlSirMJ2I1tTpyqbdszYEgHkNEx4vQcWZRhNy8wBmbIhIxR4c1hoTujeWt4e+sh6nLrKcnwKHugMbPVeTD0ZSq2egpnbPVoGNPG+C6x4Fo7xa2j1rrAMboUpgw+weEanMyzd0Qa/m9eXtgS+tQ24xS7QpMKg8sDGfqPLkI6hI82siQrTQaqqvJA+YuqIJUqcr+So8O6MFo9raPds0D9CYPzJ1vGhC7msQaVB6CETVaDQCFt/ZC43rWUq0b3x/C8orjTU8i8g/qDuwkU8+eKIaTKTSokgHJ6qAaUJ4tavw1p3RKGjUWoomWJeimfdhKRp5QKv4CKWHQGRXqF6LH+8fIG8fPleA/3y9ByK7hpKfU3dgo+eJajCqbSV5oLZ5EwyEg0l+aS3NAzSAzlEpGgMbckOr+Eilh0DkUL2IEGyaM1TeXpF2Fh9sPK7giIhqFxyBDUuLgopUWuRofg1gKkWzrE1i/m8gl6LxZDWY1LZAp9amFK3qHBt+tlDdtWzIwIb8W0r9cPxwf395e/4vh7D2wDkFR0RUM3UHNjqrkw8ja0ODhTTHxlFpEVC1vIgtfIOVKIq1ZvjsNg/gsUJ1VGE1T4GBDQWCLo1j8fHtPeTtuxfvxIGzeQqOiMgxdQc20hV4gFdWg0htcyYAUylatbVJWIoWdIrKKlFpNNWMu9Q8gKVoVEdnLluOmRYNOceGAsNV7RPw9LUd5e0xb27C+Tz+rST/o+7ARme96CL/AwYLOWNjcDzHRmMvY8MWvkFHCoK1GgHhIVq7+2jZ7pk86NiFAvl+UkxYDXsS+Zfb+zXDbX2ayNu9nv8NxWWVCo6IqDp1BzZanWlVeYBXVoNInjTHpoaMjUaw1xWNLXyDjfV8LEGw3xpcKwjQCuyKRp5x/IJlJXdH7eiJ/NWz13VC9yax8vaoNzbCaGSnNPIf6g5sAJ6ABKECZ0vRqmVsuEBnsMlz4ljRaACttJgr52ORm07kFNa+E5GfEgQBX07vC73WFJSfzCnCrK/SlB0UkRX1BzY6droKNlIpWk1d0UwTws1Xmap1RWPZYrCQMjbRNbQGtylbFKos5srAhlx0MofLD1BgC9FpsPPx4fL2irSz+HhzuoIjIrJwObDZuHEjxo4di+TkZAiCgBUrVth8f+rUqaZV3a2++vTp46nxuo4TwoOOM80DbErRql2F54lHsHC60US15gHm7B6DYI+r6W9MeXk5Hn74YXTu3BkRERFITk7GlClTcPbs2Rpfc9GiRdX+LgmCgJIS3//7MbAhNYgJ02PLI1fK28+uPICNhy8oOCIiE5cDm8LCQnTt2hVvv/22w31GjRqFzMxM+evnn392a5Bu4SKdQSev2HQVPiashgU6bdaxYVe0YOXMYq52MzbyfCx+rnhaTX9jioqKsGvXLjzxxBPYtWsXli9fjsOHD+Paa6+t9XWjo6Nt/i5lZmYiNDS01ud5WsZFHjOkDsmxYVj5wAB5e8on23HcqjkGkRIcX6Z0YPTo0Rg9enSN+xgMBiQmJjr1eqWlpSgtLZW38/I83Btdx/KiYJNb7ER5kcZeVzSWLQYbSylazRkby7FSpXmAsQKorDA1KiGPqOlvTExMDNasWWPz2FtvvYVevXohIyMDTZo0sfs8wDQ3wNm/S0TknE6NYvDhlB6YtngnAODKVzcg7cnhiA0PUXhkFKy8Msdm/fr1iI+PR5s2bTBt2jScP3/e4b7z589HTEyM/JWSkuLZwXBCeNCRuqJF15Cx0djL2HBCeNCRjpXaFnPVSPOxqrYGBxgIKyw3NxeCICA2NrbG/QoKCtC0aVM0btwY11xzDXbv3l3j/qWlpcjLy7P5IqLqhndIwMOj2snb3Z5Zg7IKLopOyvB4YDN69GgsXboUv//+O1599VXs2LEDV155pU1WxtrcuXORm5srf506dcqzA+Ik36CTV2wqL6qxFM1uxoaBTbBxphRNqKk1OMDjRUElJSV45JFHMGnSJERHRzvcr127dli0aBF++OEHfPHFFwgNDUX//v1x5MgRh8/x+kU3IhW5d0hLjOlsyYj2e+E3iCLbQJPveTywuemmm3D11VejU6dOGDt2LH755RccPnwYP/30k939DQYDoqOjbb48SseF9IJJWYURxeWm1ry1drqS1iYRqqwmz7LFoOFs8wBLu2fzsSIIzPAprLy8HDfffDOMRiPefffdGvft06cPbrvtNnTt2hUDBw7EV199hTZt2uCtt95y+ByvX3QjUpl3JnVHfJQBAJBdUIYZn+9SeEQUjLze7jkpKQlNmzat8cqYV3FCeFCRSouA2hforLaODRfoDDr5cimak9k9KWMDMMOnoPLyckycOBHp6elYs2aNyxfENBoNevbsWePfJa9fdCNSGUEQ8IdVp7Sf92bhw43HFRwRBSOvBzY5OTk4deoUkpKSvP1W9unZvSiYSI0DokJ1Na7qbfdklfOxgo5UthgdVlMQbJXd09gJbJgN9ikpqDly5AjWrl2LuLg4l19DFEWkpaUp93eJSKX0Wg32PT1S3v7vzwfZBpp8yuXApqCgAGlpaUhLSwMApKenIy0tDRkZGSgoKMDs2bOxdetWnDhxAuvXr8fYsWPRoEEDjBs3ztNjd46O5UXBJM+JjmhAlRa+VbuiMbAJGrlOtAa3zu6J1oENM3xeUdPfmIqKCtxwww3YuXMnli5disrKSmRlZSErKwtlZWXya0yZMgVz586Vt59++mmsWrUKx48fR1paGu666y6kpaXhnnvu8fWPR6R6kQadzRo3Uz7ZjvTsQgVHRMHE5cBm586dSE1NRWpqKgBg1qxZSE1NxZNPPgmtVou9e/fiuuuuQ5s2bXD77bejTZs22Lp1K6Kiojw+eKewXCSo5JVIV+BrD2yqr2MjLbrIYyVYOBPYWGf3RFhnbJjh84aa/sacPn0aP/zwA06fPo1u3bohKSlJ/tqyZYv8GhkZGcjMzJS3L1++jOnTp6N9+/YYMWIEzpw5g40bN6JXr14+//mIgkFybBiW39dP3h76ynq59JfIm1xefGHIkCE1drpYtWqVWwPyOAY2QcVyolrzoa3VWHW60lRpHsBjJWg4lbGxDmw0VteCmOHzitr+xjjTaWn9+vU226+//jpef/11d4dGRC7o3qQeXrmxK2Z/vQcA0Hneahx7fkyNZeJE7vL6HBvFcYHOoOJ0KZqmpnVseKwEA+sOejVmbARHGRuWuRIR1eSGKxrjjv7N5O02j/+i3GAoKKg/sGG5SFCRrsDXVopmfbJard0zG00EBesOenXqisZ2z+SGBpFcmZ2Cw1NjO6JTI1NXwUqjiMkfb1N4RKRmQRDYsFwkmEgnqzVdgQccNQ8wn6gay4HKCm8NkfyE3EHPUHMHPcGqeYDRphSNgQ3VXVJMmNJDIPKZH+8fIN/fdCQbC9YeVnA0pGbqD2y4QGdQkdv31qUUTW91osHjRfXqlt1ju2fyjIRog9JDIPIZQRBw9L+j5e0Fa49g9f4sBUdEaqX+wIYLdAaVPGebBwionrGR5mMBvAofBJxpHADYlqIZwXbP5Bnx0aG170SkIjqtBmlPDpe3p3/2Fw6fy1dwRKRGQRTYcN5EMJBK0Wpt96wRoBHM3ZWkq/CCwHkTQSTPycBGsFqgUxSsS9E4f4/qLiGKgQ0Fn9jwEKx5aJC8PeL1jbhcVFbDM4hco/7Ahl3RgkrdFujkvIlgJB8rtWT3AEAvBzbWpWjM2FDdsRSNglXrhCh8MPkKebvbM2tQUWlUcESkJuoPbOSrqgxsgoFcXhTufHkR500EJ2dL0QBL2aJtxobHCrnGeg2eeAY2FMRGdEzEQ8PayNutHvvFqTWqiGoTBIGNdFWVpWjBIK/EyeYBAiBUnWMDMGMTRFwJbHTmjI2R7Z7JDYVllfL9BpEMbCi4PTisNQa1aShvX/PWZgVHQ2qh/sCGpWhBQxRFq05XNZcXaRx1utJxTlawkDroORfYmK4k2l2gk4ENOSmnoFS+z8CGCFh8Zy+53f7+s3mY98N+hUdEgU79gQ0n+AaNorJKVBpNJ6CudLqyn7FhIKx2LpWiyRkbe6VoPFbIOdkFlknS9SO4QCcRABx+ztIGetGWE/jmr9MKjoYCXRAENuaMjVgJVJbXvC8FNKkjmk4jIEyvrXFfjSBAA6krGpsHBCNn17EBAC2YsSH3ZVtlbAw69f/5JXKGViNg77wR8vbsr/dgV8YlBUdEgUz9n6w6q0UXWV6katYnqoLgeCV5wNTuucaMDSeEq54rgY3eXsaGc2zIRdaBTW2fUUTBJCpUj/Wzh8jb49/dgrOX+dlKrguCwMYAwPwHhOVFqubKnIlaV5Pnyarq1aUrmtH6I5PtnslFlwq5XgeRI80aROCzu3rJ2/1e+B0FpRUKjogCkfoDG0HgVfggIZ2oRoXWvi6JVgNo7GVs2DwgaEili3XuiibN3+PnCjnpUhHLoYlqMrB1Qzx+dXt5u9NTq1DONW7IBeoPbABLZzReWVU1afXi2PDaJ+UKtWZsmN1Ts0qjiPwSFzJ8sLNAJz9XyEXM2BDV7u6BLTCmc6K83f+F37nGDTktOAIbdkYLClLGJtapE1VAY27ha78rGjM2apZfYrlyXtuaRwCgNR8rtqVoXPyXXHOpiIENkTPemdRdbol+Pr8UMz7fpfCIKFAESWDDtWyCwWVzmUdsuPOlRQDsd0XjsaJqUhAcptcixInuVDXPsWEQTM65yFI0IqcIgoAtj1wpb/+8Nwvvrj+q4IgoUARHYMN5E0HhcrELpWiwrADOjE3wcaXRBOCgK5qUsTGWA8ZKO88issVSNCLnheg0SHtyuLz90q//YO2BcwqOiAJBcAQ2nDcRFKSJuc6UokkryQOwnWPDFr5BwZWOaACgMQfCNhkbaY4NwOOFnMLAhsg1seEh+P3/Bsvbdy/eiVMXeeGRHAuSwIalaMEg14VSNLlxAOAgY8NjRc2k7J6zgY3OvECn0V7zAICBDTkln61riVzWomEkFt9paQM98KV1KClnlpzsC47AhqVoQcFSilb7yaoGDjI28oRwHitqdsmFIBgANIKdOTYajSW4YctnIiKvGdSmIWYNbyNvd3jyV3ZKI7uCI7DhVfigYGkeUPscG53DjA2ze8Eg19ydqp4TxwpgyfBVVv3IZMtnIiKf+PdVrdEtJRYAYBSBB79MU3Q85J+CK7DhVVVVu+zCHButYJXGtjchnBkbVZMzNhHOZWzsdkUD2EqeiMiHlt/bT77/w56z+G73aQVHQ/4oOAIbXlVVvfJKIwrM9evOdUUzpbAroQEEwfIN+VhhxkbNpPVEYsOcy9joHAY2/GwhIvIVjUbAwWdGydsPLduDo+cLFBwR+ZvgCGx4VVX1pC5XgHMTwqUTVRGC7Td4rAQFKbtXz9k5No5K0aTjhdlgIiKfCAvRYt3sIfL2sNc2oLiMzQTIJEgCG86bUDvpRDU6VAetRqhl7xrmTHDRxaBwucj5NY8Aq1I060YTALPBREQKaN4gAu9M6i5vt2czATILjsCGXdFUz9UTVcHeuiSA1XwsBsFq5nLGRnAUCHPdIyIiJVzdJQk390yRt8e+vVnB0ZC/CI7Ahl3RVM/VE1Wt9Rwba9bNA3j1R7UuuZqxEWsJbBgIExH53AsTuiA8xJRJ33cmD2/+dkThEZHSgiSw4VoTandZWkne1dIiR+17RSNQWQ5SH6NRlOdkOR0IC9KcLGZsiIj8yd55I+X7r605jC1HsxUcDSktOAIbHU8+1E4uRXNyJflaJ4MDLF1UqbySchjNyThnMzYa0VS6WH0dG362EBEpSasRsOOxYfL2pI+24exlfiYHq+AIbFiKpnqXXV1JXsrYiFX+C2j1lnVteLKqStKxEhGiRYjOuY9AKcNXIVZpHsB2z0REimsYZcAX0/rI2/1e+B1FZRUKjoiUElyBDUvRVOtycd26XFW7Ai8IbOGrcq7OrwGsAmHBQXtwHitERIrq2zIOM4e1lre7zFuNSiPnygab4Ahs2JJV9eSMjdOlaFJpkZ3W0Jw3oWquZveAGjI2/GwhIvIbM4e1QcfkaABAhVHEvUv+UnhE5GvBEdhYd7oiVZImgztdiiY66IoGWM2bYOmiGkkZm3p1ydhwQVciIr/23X395furD5zDJ5vTFRwN+VqQBDa8Aq92rp6sah2tSwJYHS8MhNWoLhkbx80mmLHxtI0bN2Ls2LFITk6GIAhYsWKFzfdFUcS8efOQnJyMsLAwDBkyBPv376/1db/99lt06NABBoMBHTp0wHfffeeln4CIlBSi02Dbo1fJ28+sPIA/2CktaARHYBMSYbot44mqWkknqzFOZ2zMJ6pVmwcAPFlVuct1ydhIXdGqHi+cv+dxhYWF6Nq1K95++22733/ppZfw2muv4e2338aOHTuQmJiI4cOHIz8/3+Frbt26FTfddBMmT56MPXv2YPLkyZg4cSK2bdvmrR+DiBSUEB2KZdMtzQRu/Wgbjp4vUHBE5CvBEdjI5SKFXHRRpVydYyNYrWMjVj0mOCFc1S65M8fGYbtnli16yujRo/Hcc89h/Pjx1b4niiIWLFiAxx57DOPHj0enTp3w6aefoqioCJ9//rnD11ywYAGGDx+OuXPnol27dpg7dy6uuuoqLFiwwIs/iWMaO1P7iMizereIwyOj28nbw17bgPwSrk+ndsER2ISYT1RFI1BRquxYyONKKypRUGpq6xgXYXDqOdZd0ap1TWHpoqq50xWteikajxVfSk9PR1ZWFkaMGCE/ZjAYMHjwYGzZssXh87Zu3WrzHAAYOXJkjc8pLS1FXl6ezZenRIU6H1QTUd39a1ALDGzdQN6+/ZPt1S9mkqoER2Cjj7Dc57wJ1blUaLoCo9UIiArVOfUc64xNZdUPOR3n2KiZlN2r50LGRhBrCWyY3fOJrKwsAEBCQoLN4wkJCfL3HD3P1efMnz8fMTEx8ldKSoobI7cVaXDuc4qI3CMIAj6Y3EPe3pVxGR9uOq7giMjbgiOw0eoArfnqbFmhsmMhj7tYaJkzoXGyxkNrdaJqNFb5Zgg7XamZtOaRa13RHMyxYbtnRQhV1hMSRbHaY+4+Z+7cucjNzZW/Tp06VfcBV+HsBRgicl9YiBYb/jNE3n7+50PYnXFJuQGRVwVHYAOw5bOKSYFN/Yi6dbmqlrGRjhUGwaokZficbTQBWB0v1ZoHMAj2pcTERAColmk5f/58tYxM1ee5+hyDwYDo6GibL09hxobIt5rGRWDh1J7y9rh3t+CS+dyB1CV4Ahu5MxpPVtXmYpEU2Dh/BV4wX4E3QgNj1cCGx4qqSXNs6tehK1pFtXVsmLHxpebNmyMxMRFr1qyRHysrK8OGDRvQr18/h8/r27evzXMAYPXq1TU+x5siGNgQ+dzQdvGYNrC5vD389Y0wVp1jSwEveAIbZmxU62KBqSGEK4GNxqYUzUHGhseK6pSUV6KozBSk1I90vXlABbS232DGxuMKCgqQlpaGtLQ0AKaGAWlpacjIyIAgCJg5cyaef/55fPfdd9i3bx+mTp2K8PBwTJo0SX6NKVOmYO7cufL2gw8+iNWrV+PFF1/EoUOH8OKLL2Lt2rWYOXOmj386kwiDtvadiMjj5o5uj0axprmR2QWlmP/LQYVHRJ4WPIGNNG+Ca9mozkXzZHCXApuauqJx3SPVyjGXHui1AqJcuGrucN0jLubqcTt37kRqaipSU1MBALNmzUJqaiqefPJJAMCcOXMwc+ZM3HfffejRowfOnDmD1atXIyoqSn6NjIwMZGZmytv9+vXDl19+iYULF6JLly5YtGgRli1bht69e/v2hzMLD2HGhkgJGo2Anx8cKG9/uCmdi3eqTPB8ukqd0cpZXqQ2Up2sK6VFgrm0yCjamWMjBzZczEttLhZYyhZrm2xuTXBUiiYdK8ZyoKIM0Dl/DJJ9Q4YMqbEdqyAImDdvHubNm+dwn/Xr11d77IYbbsANN9zggRG6LyKEGRsipcSE6bFq5iCMXLARgGnxzu2PXYX4qFCFR0aewIwNBTxL8wAXTiqNUsZGqN4VjaVoqpVTKJUtOrfekUTO8BmrZmysW8nzogk5J5xzbIgU1TYxCi9N6CJv9/rvb6iorHoyQIEoeAIbnqyqltzu2ZXARrQ0D3CcseGxojbSsRLnYhAswHSMVIhVMja6EEBj7q7G44WcFK5nxoZIaRN7pmBo24by9v2f71ZwNOQpwRPYhESabtnpSnXqlrExr0tir3kAS9FUq07HijkIBuw0DwCsssH8bCHnMGND5B8+nGJZvPPX/Vn4cc9ZBUdDnhBEgQ1PPtSqLu2erTM21do9M7unWjluBMGAKRCuRrpoEsSlaFOnTsXGjRuVHkbA4BwbIv+g02qw47Fh8vYDX+zG6Uv82x/Igiew4cmqKomiaGkeUIeTVaPdrmicj6VWUvMAl0rRrDI25UY7DQe4oCvy8/MxYsQItG7dGs8//zzOnDmj9JD8GjM2RP6jYZQBy6b3kbcHvLgOZRWcbxOogiew4aKLqpRXUoEKc2BSz4WuaNLJaqXdBTp5BV6t5IyNC2vYWGdsqnVFAzgnC8C3336LM2fO4P7778fXX3+NZs2aYfTo0fjmm29QXl6u9PD8DjM2RP6ld4s43Dukpbx9zVubFBwNuSN4AhtmbFRJytZEhGgR6sqEXKuuaNUaofAKvGpdNHdFq2vGpqLqOjaA1fy94J6TFRcXhwcffBC7d+/G9u3b0apVK0yePBnJycl46KGHcOTIEaWHqCjrzDDXsSHyP3NGtpX/Nhw+V4APNx5XeERUF8ET2HCOjSrV6Qo8YNsVzVHzgMoyoLLC3SGSH7E0D3Ch3bNVP/DKql3RAMtnCy+aAAAyMzOxevVqrF69GlqtFmPGjMH+/fvRoUMHvP7660oPTzHF5ZYAOcLAjA2RvxEEAX88cqW8/d+fD+JQVp6CI6K6CJ7ARl6gkycfalKXxTkB2HZFc9TuGWA5msrUqXlArRkblrmWl5fj22+/xTXXXIOmTZvi66+/xkMPPYTMzEx8+umnWL16NT777DM888wzSg9VMUWlloskzNgQ+adQvRYb/zNU3h61YBNKrC5KkP8LnsCGE8JVqU7te4Ga59hoQwDBfEU1iE9W1aaswoj8EtPJpWvr2JieUyHaOVYAy0WTID5WkpKSMG3aNDRt2hTbt2/Hzp07cc899yAqKkreZ+TIkYiNjVVukAorKmPGhigQNIkLx2sTu8rb7Z74VcHRkKuCJ7CRMzbBe/KhRlKrZ5cW5wQsXdFEO6VogsAJ4Sp02XysaAQgJkzv/BPl7J62+rECMGMD4PXXX8fZs2fxzjvvoFu3bnb3qVevHtLT0307MD9SWMaMDVGgGN+9MQa2biBvP/bdXgVHQ64InsCGGRtVuljXUrSaMjaAVbOJ4D1ZVRupDK1eeAg0GjtzZRyp7VjhHBtMnjwZoaGhSg/Dr1lnbEL1wfOnlyhQLb6zl3x/6bYM/HE0W8HRkLOC59OVXdFUKTvf1OWqQZQLk8EBeUK4qXmAne8zY6M6dS5brGk+FmB1rAR3VzSqWaHVHBudJnj+9BIFKkEQ8Pe8EfL2rR9tQ24R29f7u+D5dOWJqipdKDAHNpEuBjZWV+Htlxexi57a1KlxAACIUhAs2D9W9PxsodoVW2VsXEkYEpFyokP1+PqevvJ212dWQ7R3gYv8RvAENiwtUqVs80ryDVxt92x1Fd7uhxTnZKnORXMQHOfGsVJzdo/HCjlm3e5ZEBjZEAWKns3q41+DWsjbE/+3VcHRUG2CJ7CRrsAbK4CKMmXHQh6T7WbGxggNKmuaN8Gr8KrhlQ56gCWwYRBMNShmy1iigDV3THuE6EynzDtOXMJXO08pPCJyJHgCGz3XJlEbo1GUT1YbujzHprZSNM6bUJsLcnavbseKsdY5NvxcIcesS9GIKPAceHqkfH/ON3/j1EVe+PRHwRPY6EIAjbnFJq/Cq8KlojI5KKnrvAnHXdG4oKvaXDA3mnA5CK5tPpae2T2qXWmFvTpGIgoUOq3GZvHOgS+ts/83gRQVPIENwJNVlZHm19QL10OvdfFQtroKb3/eBE9W1abOZYtWHfTsZ2wiTbfM2FANSlmKRhTwmsSF48UJneXtzvNWKTgasie4Aht2ulKVHHkyuIsnqoATXdE4b0Jt3M7Y2FvMFWDZIjmFGRsidbipZxN0bxILwLQ+1Qu/HFJ2QGTD5cBm48aNGDt2LJKTkyEIAlasWGHzfVEUMW/ePCQnJyMsLAxDhgzB/v37PTVe93AtG1WxtHp2sQwNsGrhW0tXNAbBqiCKopyxaVjHOTamskU73+cCneQEBjZE6vHtvf3k++9vOIa/Tl5UcDRkzeXAprCwEF27dsXbb79t9/svvfQSXnvtNbz99tvYsWMHEhMTMXz4cOTn57s9WLexvEhVsus6GRywnKyK7IoWDApKK+QTS3c66BntZmzMpWgVJfJxRVRVCUvRiFRDEASkPTlc3p7w3lYUWC3CS8pxObAZPXo0nnvuOYwfP77a90RRxIIFC/DYY49h/Pjx6NSpEz799FMUFRXh888/98iA3aJnyYia1HnOBOD8hHCWoqmCVIYWadAhLETr2pOtO+jZze6FW+4zw0cOMGNDpC6x4SFYcldvebvTU6u4eKcf8Ogcm/T0dGRlZWHEiBHyYwaDAYMHD8aWLVvsPqe0tBR5eXk2X14TwuYBapJd1zkTACeEB5k6L+QK1J6x0RkAwRws8XghB0ormLEhUpsBrRtgUu8m8vYdi3YoOBoCPBzYZGVlAQASEhJsHk9ISJC/V9X8+fMRExMjf6WkpHhySLbYPEBVst2aYyNdhRfYFS0I1LlxACAHwQ4zNoLAiyZUq5JyZmyI1Oj5cZYuaev/uYDv084oOBrySlc0QRBstkVRrPaYZO7cucjNzZW/Tp3y4mqubPesKh6ZY+PoKryeXdHUxFNli0ZH56bsjEa1YMaGSL0OPTtKvv/gl2lcvFNBHg1sEhMTAaBadub8+fPVsjgSg8GA6Ohomy+v4QrhqpLtgXbPta8mzw8nNXAvY1PLsQJwkU6qVSkzNkSqFarXYtXMQfL2wJfW8WKGQjwa2DRv3hyJiYlYs2aN/FhZWRk2bNiAfv361fBMHzGY502U8qpqoBNFETnuzJuwXqCzxq5oDILVwKuNJgBeNKFalfAkh0jV2iZG4bEx7eXtAS+uU3A0wcvlwKagoABpaWlIS0sDYGoYkJaWhoyMDAiCgJkzZ+L555/Hd999h3379mHq1KkIDw/HpEmTPD121xmiTLelXmxQQD6RV1KBsso6tu8FqpQX1VSKxivwaiBlbNwtW7QbBANc0JVqxYwNkfpNG9QCreJNF9Ev5JfitdX/KDyi4KNz9Qk7d+7E0KFD5e1Zs2YBAG6//XYsWrQIc+bMQXFxMe677z5cunQJvXv3xurVqxEVFeW5UddViHkMrIMPeNKJapRBh1C9i+17AZuuaPZXk7fK2IiiaYI4BSx5cc46laKZ1iaoFB0EwQAzNlQrtnsmCg6/PDgQrR/7BQDw5u9HMbhtQ1zRtL7CowoeLmdshgwZAlEUq30tWrQIgKlxwLx585CZmYmSkhJs2LABnTp18vS460bO2PjBYqHklvN5JQCA+Og6nKgCtuVFdleTj7TsV1FSt/cgv+Feu2dLVzRHcY1ljg0DG7KPC3QSBQe9VoM/HrlS3p7w3lZcKixTcETBxStd0fwW59ioxnlzxiYhOrRuLyDPsRFqXk0e4PES4ERR9FjzAMdzbLjuEdWMGRui4NEoNgxvT0qVt1OfXcPFO30kyAIblqKpxTkpY1OXE1XAkrERHXS60mgsJ6uckxXQPDofq9Y5NpyTRfaVMbAhCirXdEnGiA6WjsBP/3hAwdEEj+AKbELYPEAtPJWxqXFCOEsXVeFCvikIjgqt63wsZ7qisRSNalZmdyVgIlKz9267Qr6/aMsJ7DuTq+BogkNwBTbyiSozNoFOytjUqbQIkOdNGB11RQOY4VOJc3luBsE2ax452IcdF6kWDoNiIlItrUbA9seukreveWszKniRw6uCLLCRSot4BT7QeTRj4+gzhhkbVZCC4EQPHCsOS9EM5oWFeawQEZGV+KhQvHFzN3m73wu/KzeYIBBkgY35RNVYDlSUKjsWcovUFc3dq/AsRVO/LLc76NXSGhzgseJDzZo1gyAI1b5mzJhhd//169fb3f/QoUM+HjkRBavrujVChyTTBbDz+aVY8udJhUekXsEV2Nh0uuIJSKASRVHO2NS5eYBVpyuHnUrYPEAVzrtbimasZTFXgIGND+3YsQOZmZny15o1awAAN954Y43P++eff2ye17p1a18Ml4gIAPDTvwfI9x9fsQ9ZuVxKwhuCK7DRaC0ryvMEJGAVlFagqMx0sumRdWwcnqyyvEgN3C5FY3bPrzRs2BCJiYny18qVK9GyZUsMHjy4xufFx8fbPE+rrUMjCSKiOhIEARv/Y1ngvs/839gC2guCK7ABOM9GBaTJ4FEGHcJDdHV7Eeu1SWo9WWXzgECWJZctup/dczzHhoGNEsrKyrBkyRLceeedEAShxn1TU1ORlJSEq666CuvWrav1tUtLS5GXl2fzRUTkjiZx4Xh4VDt5+9aPtik4GnUKwsCGna4C3fl8N+dMALarybO8SNWkUrR4dzM2ogZGh40mYky3LFv0qRUrVuDy5cuYOnWqw32SkpLwwQcf4Ntvv8Xy5cvRtm1bXHXVVdi4cWONrz1//nzExMTIXykpKR4ePREFo3uHtESI1nT6veVYDlbvz1J4ROoSfIFNCDM2gc7tORMAu6IFCaNRlAPhus+xkYJgwblSNJYW+MzHH3+M0aNHIzk52eE+bdu2xbRp09C9e3f07dsX7777Lq6++mq88sorNb723LlzkZubK3+dOnXK08MnoiD197wR8v3pn/2F7AI2tPKU4AtseLIa8OSMTV0bBwBV1iap7WSVV+ED1cWiMpRXmv5963y8WB0rtXZFE41cpNNHTp48ibVr1+Luu+92+bl9+vTBkSNHatzHYDAgOjra5ouIyBNC9Vp8fU9febvHc2u51pWHBG9gw1K0gOX2gouAJWMjct6EmkmNAxpEhkCvrePHnVV2D4D90kV9GCCYJ6PzePGJhQsXIj4+HldffbXLz929ezeSkpK8MCoiIuf0bFYf41MbydtzvvlbwdGoR/AFNixFC3hSq+eGHsjY1NwVjUFwoJPn10S5EQRbZWwA2A+EBYGBsA8ZjUYsXLgQt99+O3Q62wYic+fOxZQpU+TtBQsWYMWKFThy5Aj279+PuXPn4ttvv8X999/v62ETEdl4+cau8v1vd53G+n/OKzgadQi+wIadrgLeuVw350wA8rwJdrpSt3PudkQDqmVsHM+zYXtwX1m7di0yMjJw5513VvteZmYmMjIy5O2ysjLMnj0bXbp0wcCBA7F582b89NNPGD9+vC+HTERUjVYjYNMcSwvoqQt3cH0bN9WxV24AY7vngJeZVwwASI51/yq8UxkbHisBS2r1nBjjmWMFQA2d0Tgny1dGjBjhcP2HRYsW2WzPmTMHc+bM8cGoiIhcl1I/HP8d1wmPfbcPADD0lfX4e96IupdPB7ng+63J5UU8WQ1ERqMoX81IjAlz44WsJ4Q72IeBTcA754lSNKvsHlBTxoaBDRERuW5SryZon2TK+heXV+K/Px1UeESBK/gCmxCerAay7MJSlFeK0Aie6YpWWWMpmrm0qKxADoQosEilaG6teWSsAGCVsWHpIhEReZAgCPj87t7y9qItJ7DjxEUFRxS4gi+w4RybgCZlaxpGGdxL01ov0OnoRFVqNAGwgUCAyjQfL8nuZPfkINjU9czhgq6hnGNDRER1Uy8iBIvu6Clv3/j+VhSX8aKqq4IwsOEcm0B29rLpRDXJnRNVwKoUTXA8x0ZnADR6030GwgHp7GXTfKwkd+ZjWbUGB8A5WURE5BVD2sZjnFUL6MdW7FVwNIEpCAMbtvANZFm5HmgcAMgZmxq7orGFb0ArKqtAbnE5ACA51v2MjVHgHBsiIvKu58d1lu8v33WGJWkuCr7AhnNsAppUWpQY7ZmMTY1d0QAGNgFMyu5FGnSIDtXX/YXMzQPEWruisRSNiIjcExaixQ/395e3WZLmmuALbHiiGtDOSnMm3M7YONEVDbA6WeVV+EAjl6G50+oZsMrYmOfYsHkAERF5UZfGsZg2sLm8PeurNOUGE2CCMLAxz7FhKVpAkkrRPDXHplKsoRQN4MlqAMuUyxY9c6yIgpNzbEoYBBMRkXseHtVOvv/LvixsT2dJmjOCMLAxn3xUlgEVpcqOhVwmlRe5teAi4Fy7Z4CBcACTjhVPZfdEtnsmIiIf0Wk12PCfIfL2xP9tRUk5S9JqE3yBjXULX56ABBSjUZTXJXHrZFUUbZoHcI6NOkmlaG61egYsGRuNqRSNXdGIiMgXmsZF4NExlszNXZ/uUHA0gSH4AhuN1tJAoCRX2bGQS7ILSlFhNC3O2TDSncU5LZNqKiGwFE2lpEYTSe6Woom2pWi1LujKY4WIiDxk2sAW0GkEAMAfR3Ow5Wi2wiPyb8EX2ABAWKzptviykqMgF0mNAxKiQ6FzZ3FOoyWV63xXNM6bCDRnpTk27pYtyl3RpOYBDvbjsUJERB4mCAL+fPQqeXvSR9tYklaD4AxsQmNNtyWXFB0GuSbTXFrkqfk1gHkdG6e6ovEqfCARRdFSiubhjI3jUjSrY6WmLCAREZELGkQa8PpNXeXtG97fouBo/FuQBjYxpluWogWUM+YT1cb1wt17oaoZmxpL0cwnqzxWAsrlonKUlJsiVrcDYVe7oomVQHmRe+9JRERkZVxqYyRGm/6e7TuTh3WHzis8Iv8UnIENS9EC0ulLUmDjmSvwgDljU1Ngw2MlIEllaHERIQjVa917Mel4qW0dm5AIAKY6aGb4iIjI0377v8Hy/TsW7WBJmh3BGdjIpWiXlRwFuej0JdNVcLcDmyoZG2NNc2x4rAQkqdVzkrutngGrjE0tc2wEwSrDx3k2RETkWREGHRbd0VPeHvrKeuUG46eCNLBhKVogsmRs3CxFs+mKVkspGjM2AUkOgmPdPFYA+XiRApsam03ws4WIiLxoSNt4dG5k+luTmVuCn/7OVHhE/iU4AxuerAYcURQ9V4pmlbERoUFlTc0DpIxNMRtNBJJTF03HSkp9N48VwGodm1raPQNWny08XoiIyDuW39dPvj/j810oLmNJmiQ4AxuWFwWc3OJyFJRWAAAaeazLlbm0qKYr8GH1TLcluai5fRr5k1PmjE1KfU9kbMzHC2ppHgBYAht+thARkZfotRp8ZxXcdHl6lYKj8S9BGtiwXCTQSNmahlEG9yeDV5kz4VQpGkSuTxJATl00Bzbuli0ClgyfxoVAmBkbIiLyotQm9TC0bUMAQHmliGU7MhQekX8IzsCGpWgBx2ONAwDnV5IHAJ0B0Jnfk1fhA4J12aJHStGqdUWrYV85sLns/vsSERHV4JOplkYCD3+7F3kl5QqOxj8EZ2DDUrSA47HGAYDlCrwzpWgAA+EAY1u26InjxfRaTmX4OCeLiIh8RBAErJ01SN7uMm+1gqPxD0Ea2LAULdBIpUWeydiYu1yZJ4PXeKIKMBAOMFLjgAaRBoSFuFm2CMhzq1ybk3XZ/fclIiKqRav4KNx4RWN5+4ONxxQcjfKCM7CRJ/hyQnig8FhHNMBOxqaW/ZmxCSiWxgEeOFYASymaxol2z+yKRkREPvbyjV3l+8//fAjZBaUKjkZZqgts3ll3FFe9uh4fbTrueCfpCrxoBMq4Qngg8GgpmnyiqgNQy4kqwPKiAOPRxgGAVSDsRIaPc2yIiEgBmx8eKt/v8dxaBUeiLNUFNjkFZTh2oRDZBWWOd9KHAjrziuQ8AfF7psngppNVt1s9A1ZzJpwsRWML34DirYyNVIomco4NERH5mcb1wvGvQS3k7fk/H1RwNMpRXWCj0woAgMra6os4zyZgZBeUobCsEoLgqQUXTYGNlLGp8UQV4FX4ACMvzunpjI1cilbDvpxjQ0RECpk7pr18/38bj8sVDMFEdYGNViMFNrXsyAnhAeNkTiEAIDkmDAad5yaDQ3CxFI3HSkDw6OKcgNxsAq6se1R8CagtYCYiIvKw7Y9dJd8f+NK62i/eqozqAhudxsmMDSeEB4wTOaYT1WYNPHUF3lyKpnFiJXmAx0oAMRqt1rDxcMZGcGWBzsoyoLzYM+9PRETkpPioUMwZ1Vbe/r+v9yg4Gt9TXWAjZWwqar0Kz1K0QCFlbJrGRXjmBas0D6jtUGHGJnCczS1GWYUReq2A5NhQz7yoNMdGCmxquvoVEilndjjPhoiIlHDfkFby/eW7zuDA2TwFR+Nb6gtsBCljw/IitThpztg09VRpUZU5Ns5nbHii6u+kYyWlXjh0Wg99vFXtilbT8SIInGdDRESK2/XEcPn+mDc3oawiOJY3UV9go3UysGF5UcDweMZGCmycmTMBWHW6uuyZ9yevSc82HSvNGnjoWAHkjI0gOJGxARgIExGR4upHhOCZ6zrK23d9ukPB0fiO6gIbyxwblqKphefn2JivWmicaN8LsN1zADkhBTaeCoKBasdLrY1J2EWPiIj8wJS+zaA3X/DfdCQbW45lKzwi71NdYKM1TwivfY5NrOmWJ6t+7XJRGXKLywEATTxciiY4s5I8YFValGc5ySW/dMKc3WvuqSAYsJqT5WqGjxkbIiJS1rZHh8n3J324DSXllQqOxvvUF9iYAlPnT1aLLnp3QOQWKVuTEG1AeIjOMy9aZY6NUXRy0UWIQCkzfP7Mkt3zZMZG6orm4rpHvGhCREQKqx8Rgpdv6CJvP/DFbgVH433qC2y0Usamlivr4XGm26IcL4+I3CHPr6nv+TkTUmAD1NIZTRcC6M0ZAJYX+a1Ko4gMKbDxZCma1BXNmeYBAOfYEBGRX7mxR4p8f82Bc/LfSjVSXWCjc3aBzogGplsGNn5N7ogW58HSoirrkgAudNHjyarfOnu5GGWVRoRoNUiODfPcC1c5XpzOBjMI9op58+ZBEASbr8TExBqfs2HDBlxxxRUIDQ1FixYt8P777/totERE/uGvxy0laYNeXqfgSLxLdYGN1tkFOqWMTaH6J1IFsuMXCgB4p7TINmNTy8lqeH3TbTFLF/2VNL8mpX6Y/DngEWKVBTo5x0ZxHTt2RGZmpvy1d+9eh/ump6djzJgxGDhwIHbv3o1HH30U//73v/Htt9/6cMRERMqKizRgxtCW8vbirSeUG4wXeWjSgv/QObtAp5SxqSgGyoqAEA9mBMhjjl0wnay2io/03ItKzQO0LgQ20vHCQNhvSR3Rmns0CLa6QOJqVzTOsfEanU5Xa5ZG8v7776NJkyZYsGABAKB9+/bYuXMnXnnlFUyYMMGLoyQi8i//GdkO76w7BgB48vv9mNgjBaF6bS3PCiwqztjUcqIaEgloQ0z3i3iy6o9EUcQxc8amZUPPBzbyCvFw4ngJZ2Dj79KzvTe/BnAhYyNl91jm6jVHjhxBcnIymjdvjptvvhnHjx93uO/WrVsxYsQIm8dGjhyJnTt3ory83OHzSktLkZeXZ/NFRBToVs0cJN+/8pX1yg3ES4I3sBEEnqz6uay8EhSVVUKnETw7x0YqLbLK2NR6vMhzsnis+Kuj5iDYs9k9O4GNs8dKIQMbb+jduzcWL16MVatW4cMPP0RWVhb69euHnBz7v++srCwkJCTYPJaQkICKigpkZzv+/zx//nzExMTIXykpKQ73JSIKFG0To9AtJRYAcDa3BH8eV9ffKtUFNk4v0AkAEeyM5s+OnTeVFjWJC4de68FDtS7NA+ST1QueGwd51NFz+QC8U7YIQJ6TVes6NhENTbeFF4Da9iWXjR49GhMmTEDnzp0xbNgw/PTTTwCATz/91OFzBMF2zpXUsrvq49bmzp2L3Nxc+evUqVMeGD0RkfKW/auPfP/mD/5EaYV61rZRXWDj9AKdAFs++zmvlKEBVgt06pzP8IXzKrw/KyytwNncEgAeDmzslaI5e6xUlgKl+Z4bC9kVERGBzp0748iRI3a/n5iYiKysLJvHzp8/D51Oh7i4OIevazAYEB0dbfNFRKQGBp0WL02wrG0z55u/FRyNZ6kwsDHdOpWxYSmaX/NeYGPpiiYFNuUsRQto0rHSIDIEseEhnnthe6VotX20hIQDevM8H2b4vK60tBQHDx5EUlKS3e/37dsXa9assXls9erV6NGjB/R6vS+GSETkd27s0Vi+/33aWew7o44FyFUY2LiQseHJql+zBDYenAwOWMqLNFropYxNpbPlRTxW/NHR814KgkWrFmiCk6VoALvoedHs2bOxYcMGpKenY9u2bbjhhhuQl5eH22+/HYCphGzKlCny/vfccw9OnjyJWbNm4eDBg/jkk0/w8ccfY/bs2Ur9CEREihMEAWsesjQSuOatzSirqK3tp/9TXWAjzbGptVwEsGRsWIrml6Q5Ni09WVoEWMqLNFo5Y1NR67pHPFH1Z1Jg49EyNMAqYyNAq3Xhs0UKhHnRxONOnz6NW265BW3btsX48eMREhKCP//8E02bNgUAZGZmIiMjQ96/efPm+Pnnn7F+/Xp069YNzz77LN588022eiaioNc6IQpjuybL2wvWHlZwNJ6hunVsnD5RBSxtWTlvwu8UlFYgK880Z6JlA++Voum0Tmb4pEYTZflARSmgM3h2TOSWI94KbKyCYI1LjUmsGgiQR3355Zc1fn/RokXVHhs8eDB27drlpREREQWuZ6/riB/3nAUAvLv+GCb2SPHsoug+ptqMjXMnHyxF81dHzB2uGkYZEBPu4Tp4q3Vs5AVdaytFC42Vu2Ixa+N/jnk7YyNooTV30HKuFM0cCDOwISIiPxYbHoJnr+sobz/1w34FR+M+1QU2Gjljw+YBgeyfLFNg0y4xyvMvbp2xqdO6RzxZ9SdlFUacvGhanLN1vIePFztli051cOacLCIiChC39Goi399w+AIOnA3cBYlVF9i4NMcmgnNs/NUhc2DTJsEbgY2leYA0b6LcmdJFZvj8Unp2ISqNIiINOiREe7hE0CpjI615wlI0IiJSE51Wg6V395a3/7Vkp4KjcY/qAhutSxkbc7lIyWWgstx7gyKXHTaXorX1SsbGuiua6b+Ac+3BpfIiBsL+5FCW6cpSu8SoGhdcrBOpK5pG42IpGjM2REQUOPq3aoC25ovJpy4WY8eJiwqPqG48HtjMmzcPgiDYfCUmJnr6bRzSuXKiGlYPgPlEqCgw/wHVyqulaPLJqmUdm1rn2AC8Cu+nDmaaj5UkbwbBenmNLJeywQxsiIgoQHw4pYd8/8b3t0J0qvbav3glY9OxY0dkZmbKX3v37vXG29glnXw4lbHRaC2d0ViO5jcu5Jcip7AMguCFOROATfMAl7rosRTNL1kyNl5YGV7K5Gp0rq2RxflYREQUYJrEhWN890by9qr95xQcTd14JbDR6XRITEyUvxo2bOiNt7FL60rGBrBay4Ynq/5CytY0i4tAWIjW829g0+6ZzSYC3SFzxqa9VzI25sBGq4deOlYqnQmCrdaxcSZoJiIi8gPPXNdJvn/Pkr+cq1LwI14JbI4cOYLk5GQ0b94cN998M44fP+5w39LSUuTl5dl8ucOlds+A5QSk4Lxb70ueI12Bb+uNxgGAVXmRzlK66FQpGptN+JtLhWXyekfeaTRh6YomfbaUuzIfSzQCxZc8Py4iIiIviDTo8PjV7eXthVtOKDeYOvB4YNO7d28sXrwYq1atwocffoisrCz069cPOTn2Twbnz5+PmJgY+SslJcWt99e6GthEJZhu87Pcel/yHClj45XGAYDVyarGso6NK6VoLC/yG1L3vJT6YYgK9fB6R4BVKZrespirMxkbXYhp7SOA2WAiIgood/ZvLt9/duUBlDvzd89PeDywGT16NCZMmIDOnTtj2LBh+OmnnwAAn376qd39586di9zcXPnr1KlTbr2/SyeqABBpbmxQEHh1hGp1yJuNAwCrtUl0rnXRi4g33TK75ze8Or8GsMnuWUrRXMwGMxAmIqIAotEIWHKXpf3zEyv2KTga13i93XNERAQ6d+6MI0eO2P2+wWBAdHS0zZc7pAU6jaKT3YukjA0DG79QVmGUMzadGsV4502smgfotS7MybI+VgKwU4gaWebXeCuwkebYWMoWnSpFA1jmSkREAWtA6wby/S93nEJRWYWCo3Ge1wOb0tJSHDx4EElJSd5+KwCWjA3g5HoTUsaGpWh+4fC5fJRVGhEdqkPjemHeeROrq/BSxqbcmavw0rFSUWJa+4gUdyDTlLFp7/WyRb2l0YSzKflIBjZERBS4Ns0ZKt+/4b2tCo7EeR4PbGbPno0NGzYgPT0d27Ztww033IC8vDzcfvvtnn4ru7TWgQ0zNgFn/9lcAKZsjccXW5TYmRBe6Uzpoj7UMm+CgbDiSisq5VI0r2X3rNo961xp9wwAUcmm2/xMLwyMiIjIu1Lqh6NFgwgApguJWbklCo+odh4PbE6fPo1bbrkFbdu2xfjx4xESEoI///wTTZs29fRb2SWdfABOBjbM2PiVfWdMJ6qdvXWiCtgGNq60ewaAKHPmkceL4g5nFaC8UkRsuN772T1tHTI2UdJnCwMbIiIKTCv/PUC+32f+bwqOxDk6T7/gl19+6emXdIl1xsapSb5SxqbkMlBeYroqT4rZe8aUseno1cDGTrtnpwObRODCQQY2fuDvM5cBmIJg72X3pGNFa2ke4HIQzMCGiIgCU3iIDuNTG2H57jMAgN0Zl5DapJ7Co3LM63NsfM16jk25M+VFobGA1mC6z3I0RVVUGnHQPGeiU7KXJoMDlgnhGr1rc2wAXoX3I/vMQbBXs3vW7Z6l5gHOHivRzO5RddYX34iIAsGrE7vK98e9u0XBkdROdYGNRiNYWvg6cwIiCJxn4yeOXShEaYURESFaNIuL8N4bVVpWk5fKi5yaYwNYAhseK4r7+7QPAhvr7J7LpWjmwCaPQTBZaL2VXSQi8hJBEPDkNR3k7W/+Oq3gaGqmusAGgFwy4vSCQpFcpNMf/H36MgCgY3KM3LbbK6wDG1fWsQFYXuQnSsorcficqdVz58beDGwsx4rUGtz5Y8UcBJflA6X5XhgcBSLGNUQUiO4cYFm0c/bXe5wv4fcxdQY2csmIi1dWebKqqN2nLgMAujWJ9e4b2ZSiSavJO/kflEGwX/gnKx/llSLqhevRKNZLjQMAux30nP5cMUQBIeY21PnM8JEJS9GIKFB9emcv+f6zKw8oOBLH1BnY6Fy8shrT2HSb67+ptWCwO+MyACA1Jda7b1RpfRWeGZtAtMec3evcONZ7jQMAu3NsXLpKJc/JOuvhgVGgYlhDRIFqcJuG8v1FW04gr6RcwdHYp8rARrqyWlbh5JXV6Eam27wzXhoR1aawtAL/mNck8Xq3DTsLdDo9xybavDZJXibg7HPI4/46eQkA0N3r2b3q7Z6dbh4AWAU2zPCRiYa1aEQUwFbNHCTfn/rJdgVHYp8qAxuXa+FjzIFNLgMbpfx9OhdGEUiKCUVijJdbbtubY+N0V7QkQNCYytkKuaK8UnZlmAKbK5p6OwiWMjbW7Z5dCGjlQJifLUREFPjaJkYhMdp0nrYr4zKOXShQeES2VBrYuFgLH20uRePJh2J2nzKdqKZ6+wo8YDPHRudqEKzVWcrRWLqoiPN5JTh1sRiCAHTzdtmiPMfGUormdBAMsMyVqmPChogC3PL7+sn3R7+xScGRVKfSwMbF5gFSxibvrOVEhnxKml/T3ReLPlValRfJpWh1OVk95eGBkTOkbE3bhChEheq9+2byHBudVSmaCxmbmBTTLQMbMmNcQ0SBLjk2DEPbmubblFUYcepikcIjslBlYKPTuriQXmQCoNEBYiXXJ1GAKIrYnaFAxkZrvUCnKyerUmDDDJ8SdklBsLfL0AD32j0DlsDmMoNgMvFqswsiIh95dWI3+f4di3YoN5AqVBnYhLi6kJ5Ga1VexJNVXzueXYjsgjKE6DTomOzFNUkkVp2u5JNVlhcFDKlxwBW+yO7JjSa0Ntk9UXTyeIllxoZsMa4hIjWoHxGClg1Ni6kfPV+A0gr/qHhSZWCjc7UUDbDqjMYTEF/bdvwiANN8iVC91vtvaKfds2vHCkvRlFJSXom9p3MB+ChjI5UtWs2xAVzI2kifK6W5QEmuhwdHgYhxDRGpxdf3WObaPPhFmnIDsaLKwEZfl7ascmc0Bja+ti09BwDQp3l937yh0TJvIsQcBJfWqRSNx4qv7cq4hLJKIxKiDWgWF+79N7TT7hlwIcNniATCzAEYjxciIlKR+hEh8v1f92ehpFz5rI1KAxupFt6Fk9XYpqbbSye9MCJyRBRFOWPTu0Wcb97UOmNjXsy13Nk1jwA2D1DQn8fMQXCLON/MVTBWbx4AAOWufLawgQBZ4To2RKQmP9zfX77/+trDCo7ERNWBTXmFCxmbes1Mt5dOeHw85Nipi8XIyiuBXiv4piOaKJqaRACARi9nbFwqRZPmTRTlAGWFHh4g1WTrcVNg09dXQbDVYq5661I0l7LBUgOBDA8OjAIV4xoiUpMujWPl+//bcBx5JeXKDQYqDWykSb4uXVWtZ87YXGbGxpf+NJehdWkci7AQH86vAQCtDiHmjE2ZK4FNWD0gNNZ0n4GwzxSXVSLt1GUAQN+WvsruWQIbjUaA+aPF+cYkABDbxHTLwIaIiFTo2es7yfc/3HhcwZGoNLCpU3mRnLE5CbgSEJFbtppLi3r7en4NAGhDLBkbV7J7ADN8Cvjr5CWUV4pIiglFk/o+mF8D2LR7Bqwak7jS8lk+VtI9ODAKVGz3TERqMy61kXz/rd+PKjrXRp2BjfmyqkvrTUQ3BgQtUFnKtWx8xGgUselINgBgYOuGvnlT64yNVbtnl5oHAED95qbbizxZ9ZWtx03HSl9fza8BbErRAKvPFleOF/lYOeHBgVGgYlhDRGoTadDhxisay9t/HM1WbCzqDGy0dSgv0uosk8J5Fd4nDmXlI7ugFOEhWlzhi9a9gOVEFah78wCAGRsFbDxs+qDs16qB7960skpgo6vDnKx6UmBz3DTHi4IaEzZEpEY392oi31++S7k1IVUZ2OjqsugiYJlnw5NVn9h45AIA0xV4aa6L10kZG0ELCIJciuZSEAxYTlZZXuQT2QWl2HvGtA7MoDa+DGxKTbdaU0tL6XgpKXd1/p4AlBcChRc8PEAiIiLldW8SK9//aW8mKl2pmvIgVQY2IXVZdBFgLbyPbTIHNgNb+/BEtcqciRBdHY8VqbyIQbBPSMdKx+RoxEeF+u6NK8tMtzoDAMCgr0MgrDNYssEXlZ1UScoTWIxGRCokCAIeGd1O3k47dUmRcagysJEn+LqasYlrZbrNOerhEVFVxWWV2JFuOugHtvHR/BrAkrHRmAMbrakTW91L0U4CRuUXpFK7Df+YApvBvjxWAKDCHNhUydiU1fV44Zwst82fPx89e/ZEVFQU4uPjcf311+Off/6p8Tnr16+HIAjVvg4dOuSjUVuwFI2I1GpijxT5/oK1RxQZgyoDG3mBTlevwse1Nt1mK/OPEUw2H81GWaURjWLD0KJBhO/eWF6cU5ozYTrLcLkULboRoAs1ZYDYItyrjEYRG81NJnwe2EilaOaMTYjOFAiXuhrY1G9humXGxm0bNmzAjBkz8Oeff2LNmjWoqKjAiBEjUFhY+5pS//zzDzIzM+Wv1q1b+2DEthjXEJFa1Y8Ike9vOpINUYF5pTqfv6MP6OtaiiZnbI6ZJvny0prXrDmQBQAY3iHBt+1PjbYZG31dr8BrtKZA+Nxe4MJhy4kreVza6cu4WFiGKIMO3X3VZEJSJWNj0NXxeIlrabrN4UUTd/3666822wsXLkR8fDz++usvDBo0qMbnxsfHIzY21qn3KS0tRWlpqbydl5fn8ljtYbtnIlKz927tjnuX7gIA7D+bh06NYnz6/qrO2JS53DygmWlSeXkhkHfW8wMjAEClUcRvB88DAIa1T/Dxm0sZmyqlRa4GwQDQsK3p9oLvy1mCyar9piB4SLt4+f+2z1TL2NQxsGlorju+UHPJFLkuN9fUVKJ+/drXwkpNTUVSUhKuuuoqrFu3rsZ958+fj5iYGPkrJSWlxv2JiAgY2TFRvj/76z0+f39VBjbSVdXSChfnPuhCLLXwvLLqNbszLiGnsAxRoTr0buGjhTklUrtncylaiK6O87EAq8CGJ6veIooiVu83rSs1sqOPg2DAYcbG5c8WKbDJPmK7lhK5RRRFzJo1CwMGDECnTp0c7peUlIQPPvgA3377LZYvX462bdviqquuwsaNGx0+Z+7cucjNzZW/Tp065ZExM2FDRGqm0QhIiDZdDDyUle/z91dlKZrl5KMOV+EbtAYuHjOdgLQY4tmBEQBgzUHTierQtgpcga+Q2vear8Cb37/SKKLSKEKrceGsQwpsshnYeMvR8wVIzy5EiE6DIW3jfT+AKu2e61yKFpMC6MOB8iJTA4GGbTw5yqB1//334++//8bmzZtr3K9t27Zo27atvN23b1+cOnUKr7zyisPyNYPBAIPB4NHxAgxsiEj9/je5B65/5w8AwPb0i+jV3HcXsVWZsQnVmyf4ltehW1UDqYHAYQ+OiCSiKGLVPlNp0bAOSlyBty0t0lutn+PynKwGUsbmMBde9BKpDG1AqwaINChwHaZKu2e5FM3VY0WjscrwHfTU6ILaAw88gB9++AHr1q1D48aNa39CFX369MGRI77PzLPdMxGpXbeUWPn+9M92+vS9VRnYSGtN1CljE9/BdHvugAdHRJJ9Z/JwIqcIoXoNrmqnwBX4ihLTrc60FkqIVcbI5ZPV+i1MK9KX5XNOlpf8vNcU2ChShgbYKUWTLprUZU4W59l4giiKuP/++7F8+XL8/vvvaN68eZ1eZ/fu3UhKSvLw6IiICAC6NjY1DbhcVO56l2I3qDKwCTWffJTUJWOTYK7TPreXV+G94Me/TQHAVe0TEKHIFfgqGRut5eqpy+VFuhBLNzQ2EPC4I+fycSAzD3qtgBEdEmt/gjdUbR7gVrMJc2Bznhkbd8yYMQNLlizB559/jqioKGRlZSErKwvFxcXyPnPnzsWUKVPk7QULFmDFihU4cuQI9u/fj7lz5+Lbb7/F/fff7/PxsxSNiILBCxO6yPdX/p3ps/dVZWDjVsamYVvTVfiSXCD3tIdHFtyMRhEr95gCm7FdkpUZhFyKZsrYCIJQ9/bgABsIeNH3aaZjZXCbhqhn1RvfZ4xGq2YTtqVodftsYcbGE9577z3k5uZiyJAhSEpKkr+WLVsm75OZmYmMjAx5u6ysDLNnz0aXLl0wcOBAbN68GT/99BPGjx/v8/EzriGiYNAuMUq+P3NZms/eV6XNA9woF9EZTHMnzu8Hzu0DYtni01P+yriEs7kliDLoMKStjxdalMilaJZJwSFaDcorK13P2ADmeTY/MmPjYaIo4vs9ZwAA13ZrpMwgKi1rmEDnZlc0AIg3BzY5R4DKCrkzH7nGmQXfFi1aZLM9Z84czJkzx0sjcg3XsSGiYCAIAoa1T8Bac8Oo8/kliI8K9fr7qjJjE2rO2JTU5eQDABLN5WhZ+zw0IgKAb3aaMmAjOyXKDR58rkrzAAAIC5FKF+sQ2EjHSqbve7Wr2a6Myzh1sRjhIVoM9/VaR5IKq8BGWveorl3RACCmiakzWmWZqfMiBSWGNUQULO4dYlm8/MBZzyxyXBtVBjZuZWwA23k25BGFpRVYaZ5fM7GHglmwKs0DAEsXveK6zMlKTjXdnttveyJMbvl6p2nNkFEdE+XA0+ekjmiAZwIbjcby2XI2zc3BUcBiZENEQaJbSj35/s97fTPPRpWBjdsZm4SOpltmbDzmp72ZKCyrRPMGEejZrF7tT/AWexkbKbApq8PxEtsUCKsHGMuB8+yk5wkFpRX4wTwX6+ZeTZQbSKVVRzRz+ZB80aQugQ0ANOpuuj27y93RUaBiTxoiChLWawN+tdM389ZVGdi4nbFJ7Gy6vXgcKCv00KiC21c7TFfgb+zRWNkaczsZG0spWh0CG0GwZG3O7nZ3dATgh7SzKCqrRMuGfhIEa63mY7mTsQGAZHNgc4aBTbBiXENEwaRxvTD5vjNzJN2l0sDGkrGp0y8xMh6ITAAgcu6EBxzMzMPOk5eg1QiY0N31hfQ8yk7Gxq1SNICBjQeJoogvtpu6Wd3cs4myQbC8OKelI5tbzQMAS8Ym62+gstyd0REREfm9a7tauuDuO+P9eTbqDGzMJ6qiCJRX1jE6bNzTdHtqm4dGFbwW/XECADCqUyISor3fEaNGVdo9A26WogEMbDxoV8Yl7D2TixCdBuO7K9QNTWInYxNuzu4V1fVYqd8SMESbModczyYo+eKKJRGRv0iOtWRstqXneP391BnY6Cw/Vp2vrDbpY7o9td0DIwpeFwvLsCLN1Lb3jn7NlB0M4CBjYzpe3M7YnD8IlBfXvC/V6OPN6QCA67slIy7SUMveXibPsdHLD7kd2Gg0luPlzF/ujI6IiMjvNYi0VD3oNN6vwlB9YFOnFr4AkCIFNttMqR+qky+2Z6C0wojOjWJwRVMF50tI7M2x0bsxxwYAohsBEQ1NizlmsZNeXZ26WIRf92UBAO4c0Fzh0cAyvy4kQn4oPMS09kydAxuADQSIiChoWF+kDDd4f/02VQY2giBY5tnU9WQ1qYupBKUoB8g56sHRBY/iskp8Yr4Cf+eAZv6xMJ0U2GgtVxCk5gF1LkUTBCClt+n+ic3ujC6offJHOowiMKBVA7RLjFZ6OJbsmz5cfsiSsamo++s2usJ0e2pH3V+DAhYvkxFRMImLsJxvhftg+QZVBjYAEGFw88qqzmC5ssp5NnXyxfYM5BSWIaV+GMZ2Sa79Cb5gZ46N280DAKDZQNPtiU11f40gdj6/BJ9vMzUNmD6oRS17+0h5kek2xBLYhLlbigYATfqZbi8cBArO1/11iIiI/Jx1xkan8X7YoeLAxnQCUlDqxpVV6Sp8xp8eGFFwKa2oxAcbjwMA7h3cCjqtnxxqcimanXVs3AlsmpsDm4w/gYqymvelaj7YcBylFUakNonFwNYNlB6OiVSKpreUokVIpWjufK5ExAEJ5pby6Rvr/jpERER+LjrUUn5W5yoqF/jJ2abnSScghe6cgDTpa7o9sYnzbFz02daTyMorQWJ0KCZcoXB3K2tyeZGlS4dljk0d52MBQMP2QHic6So/50645Hx+CZZsOwkAePCq1v5RsghYMjZWx4pcilZex1bykhaDTbfpG+r+GhSQ+KeEiIKJ9d90ty4gO0m1gU2kwQOBTbMBgEYPXDoB5BzzzMCCQG5ROd763TQv6aHhreUFU/1CWYHpNiRSfsitBTolGo3peAGAdJajueK11YdRUm7K1gxu01Dp4VjIzQOs5tiYP1dE0c1AuLk5sDnOwIaIiIJDnecyu0C1gY00xybfncDGEAk0NdfDH1ntgVEFh7fXHUFucTnaJkThhitSlB6OLelk1VA9sHGrbBGwzLPhVXinHTibh2U7TwEAHr+6vf9kawCrjI2lFE3K7gFuNhBo2hfQ6IDLJ00XToiIiFSOGRs3eCRjAwCth5tuj65xc0TB4dTFIny6xVRW9MiYdtD6oGe5S0rzTbdWGZvoUNM6Jfklbq4E3/JK023GVqD4snuvFQREUcRzPx2AKAJXd0nCFU3rKz0kW1LZolXGRqsR5HWP3GogYIiydEc7tq7ur0NEROTHyios1Q3M2LjBc4HNCNPtiT8sV/vJLlEU8diKfSirNKJ/qzgM8aeyIsBUP2SnFC3KPLEtv8TNYyWuJdCwnWk9G2b4avXrvixsOZaDEJ0Gj4xqp/RwqrPTPADw0Fo2ANBmpOn24I/uvQ4FFJENn4koiFhXNyREe3/hbdUGNlIpWkGpmycfDdoAMU2AylJ2MKrFirQz2Hj4AkJ0Gjx7XSf/KisCTCvJG83/wawWXYwOM2Vs8tzN2ABAu2tMtzxZrdGlwjI88f1+AMD0gS2QUj+8lmcowE67Z8DSQMDt0sX215lu0zcAxZfcey0KGGweQETBZMPhC/L961K930xKtYFNpLnds9sZG0EA2o423d/3rZujUq+cglI88+MBAKbOVi0aRtbyDAWUFlju25SimYLgvGI3jxUAaG8ObI6utZQyUTXPrjyA7IJStIqPxP1XtlJ6OPaVSXNsbAOb2HBzIFzsZiDcoBUQ38EUbP/zi3uvRURE5If+t+G4fF8q/fcm1QY2loyNB05Wu9xkuj30k+3JMQEwlaA9/O1eXCoqR7vEKP9ZYLGqMvP8Gl0YoLX0VbeeY+NWC18ASOoGxKSYrvYf/c2911KpNQfOYfnuM9AIwMs3dJEXSPU75VJXNNtStNgw0yrKl4s9sF5RB3PW5sAP7r8WERGRH7mQX4oDmXk+fU/VBjZyeZG7V1UBoFF3oH5L08nqoZ/cfz2VWfjHCaw9eA4hWg1eubEr9P6yGGdVUlBa5URVOlaMIlDo7rwJQbCcrO75wr3XUqFTF4sw++s9AIC7BjRHapN6Co+oBg6OlxhzxuZykQc+W9pfa7o99htQmOP+6xEREfmJ9zdYlkp5dIxv5tL66Rmo++qFm66q5hR64KqqIABdJpru/73M/ddTkT2nLmP+LwcBAI9f0x6dGsUoPKIa2Gn1DAAGnQZ6rWk+kEcC4dTJptt/fgHys9x/PZUorajEjM93Ibe4HF1TYvGfkX7YMMCaNO8lzLZbW2yYBwOb+PZAUlfT/K89n7v/ekRERH6g0iji483p8vYd/Zv75H1VG9jERZoCm4ueCGwAoPONpttjvwMXj9e8b5A4e7kY0xbvRHmliFEdEzG5T1Olh1QzqRQtJMrmYUEQ5HK0XE8ENvHtgJQ+gFgJ7F7i/uupgCiKeGLFPvx9OhcxYXq8MykVITo///iRA5tYm4eliyYeOVYEAehxp+n+zoWA0Y1FPykgsHkAEQWD538+KN//cnofn1Xz+PmZRd3VjzCdfFzyVGAT1xJoNQyACPz5vmdeM4Dll5TjzkU7cD6/FG0SIvHSjV38rwtaVdLaMqHVs0rShHCPHS9XTDXd7voUMHq/b7u/e+O3I/hq52loBGDBzd3QuJ4fdkGzZjQCJZdN98Nsy+Vi5VI0Dx0rnW4wBdsXjwEn2HmRiIgCW2lFpU22pk+LOJ+9t2oDmzhzYJNfWoHSCg+dWPa933S7e0lQt2ctLqvE9MV/4VBWPhpGGbDwjl4+6XThtiLzHIaI6v/B4qNCAQDn80s9814drzedEF/OAPYt98xrBqjPt2VgwdojAIBnr++EoW3jFR6RE0rzANGcPQmNtflWjLkU7ZInStEAU2lkV3ODki1veeY1iYiIFPJ/X+2R7/94/wCfvrdqA5voUL286v2lQg+dgLQYAiR0MnVL2vGRZ14zwBSXVeLORTuw9XgOIkK0+Pj2HmgUG6b0sJxTmG26Da8e2DSMMi0adcFTgY0+DOg7w3R/40tBm7X57M+TePS7vQCA+4e2wq29/bxcUSJduNCFAfpQm281iPTwsQIAfe4DBK2pTfip7Z57XfI7bndeJCLyY8t2ZGDl35nydufGvp17rdrARqMRUM9cMpJd4KETEEEA+s803f/jTaDgQo27q83lojLc/sl2OahZfFcvdGkcq/SwnFckBTYNqn0r3hzYnM8v8dz79fqX6Wp/9mFg/3eee90AIIoiPtp0HE+s2AcAuLN/c/zfiDYKj8oFDsrQACAxxhToZOV58FiJawl0m2S6v+55z70uERGRjyz8Ix0Pf7tX3v5z7lU+H4NqAxsASIoxZRIycz14AtJpgmmtktI8YP18z72unzuZU4jx727B9hMXEWnQYfFdvXBF0/q1P9GfSBmbCDuBTbQU2HjwKnxotKV8ce08S1c2lSuvNOLxFfvw3E+miYP3DG6JJ65p7/9zsKwVXTTdVmkcAABJ5sDmYmEZSso9mIkb9B9AoweOrwOOrPHc65JfYb6GiNSmotKIEa9vwNPmhdoBYPVDg+QLgb6k6sAmpb4psDl1schzL6rRACPNV1T/Wgic2eW51/ZTaw6cw7Vv/4Hj2YVoFBuGb+7tG3hBDWA5WbVTiibNscnyZBAMAH3vA2KaALmngiIQPpdXgikfb8fSbRkQBFPf+odHtQ2soAawtOmOTKj2rZgwPcLMi4qe82TWpl5ToPe/TPdXzuJiwCrFSjQiUpNTF4vQ6rFfcPic5W/Wkrt6o01CVA3P8h5VBzZS56XTl4o9+8LN+gMdx5smFy+fDpR5MHDyI0VlFZj3w35MW7xTXnvku/v6oV1itNJDq5vC86ZbOxmbJnGmY+Vkjof/LUMigKtfMd3f+i5waodnX9+PrN6fhVELNsqlih9O7oHpg1oGXlADAHlnTLcxjap9SxAEOWtz5rKHP1uGzDUHwhnAb0979rXJL1SwpTcRqcS7649i4Evr5O2EaAP2PT0SA1pXP8/yFZUHNuaMzSUvBB5XvwpEJQE5R4Bf5qjuMty6Q+cx/LWNWLTlBADg7gHN8fW/+iI+2vdpRY8QRVOHMgCIbVLt2y0amFaXz8orQWFphWffu81IUwmjWAl8fbulJE4lzl4uxr1L/sL0z/7CpaJydEyOxg8PDMCwDtWzHQEj95TpNibF7rebmgPh4xc8XF5oiATGvm66v/0DYO83nn19UlxxWXA2EiEi9fj90Dk0e+QnvPTrP/Jjz1zXEdseHYZIg07BkQHKvruXtWxoWmH+8Ll8z794eH3g+veAz8YBuz8zTf4d8JDn38fHDmXl4ZVVh7H24DkAQKPYMDx3fScMbRcALXprkp8FVJQAgsbuyWpseAjqhetxqagc6dmF6NTIw108rlkAZP5tCoSXTQZu+xYI8fO1XGpRUFqBRX+k4931x1BUVgmtRsDdA5tj1vA2MOi0Sg/PPbnmjE109YwNALRJjMK6fy5457Ol1TDTZ8nm14Hv7wfqNwcaXeH59yFFFHtyXhYRkY8UllbguZ8O4Ivtp6p9749HrvSbDrmqDmw6JptKpk7mFCG3uFxef8JjWg4FRr0A/PqwaXJ4SCTQa5pn38NH9p/NxfsbjmPl32chioBWI+CuAc3x4FWtEaFw9O0Rl06YbmMaA1r7x0HrhChsT7+IA2fzPB/YhEYDNy0BPhoGZGwBvpwE3PKFqS10gMktLsfSbSfx4cbj8louPZrWw3PjOgVumWJVl0+abmMa2/12m3hT7fChLC8ENgBw5ROmQPjYb6aLJ5NXAI26e+e9yKeM6kruE5GKiaKIr3aesul0Zm3e2A64vV8zvyo5V8EZq2Ox4SFoFBuGM5eL8ffpyxjYuqHn36TPPaZ6/C1vAj/PBvLOAlc+Dmj8/4p1SXklfjt4Hp9uPYHt6Rflx6/ukoSHhrVGq3hlJn55Rc5R0229Zg53uaJpPWxPv4i/Tl7CxJ72S5DcEt8OuPVrYMkEU+erRVcDNy0FopM8/14eJooiDmTmYcmfGVix+4x81blFgwg8OKw1xnZJhkbjPx9sbikrBHKOme4ndLS7SxdzX/6/T19GaUWl5zNUGi0w8VNgyQ3AqT+BT68Fxn8AtBvj2fchIiKyUlRWgaV/ZuC/Px90uM/z4zpjYo/G0Gn9b0aLqgMbAOjTIg7f7jqNDf9c8E5gAwDDnzFla9Y/D2x+zbTA3vXvmroc+ZmS8kpsS7+IH9LOYvX+LOSb55PoNAJGdUrEvUNaomOybxdT8okzf5luk7o53KVHU9OaJZuPZkMURe9cgWja1xTcfDnJNKb/DQKueR1of43n38tNoiji6PkCrPw7Eyv/PotjVvNJ2iRE4p7BLXFt12S//GBzy/mDAERTR7RI+yWYreIj0SDSgOyCUuw6eRl9W1bvtOc2QxRw2zfAF7cAJzYBX94C9JkBXPmYqSkFERGRG0RRRNqpy/hs60ks332mxn1v69MEj45pj/AQ/w4d/Ht0HnBV+3h8u+s0ftmXhUdGt/POSZggAEMeNtXCr3wIOLkZeKeXaeX5PvfZ7cLlK5VGEYfP5eOPo9nYdCQb29JzUFJu6crTKDYM47s3wq29myrSb9xnpNXcU3o53KVfywYID9HizOVi7Mq45L2W1s36A9PXAV9MAi4cBJbdCrQeYeqIpXC50fn8Emw9loM/jmZj85FsnLVqfx2i1WB4hwRM7tsUvZvX96vUs0dlbDXdJnV1uIsgCBjStiG++es0vk87453ABjAFN5O/A1Y9amom8Oc7wMEfgcH/Abre4rCskoiISCKKIrILyrDlWDZ+2ZuFX/dnOfW8Xs3r45UbusqdYwOB1wKbd999Fy+//DIyMzPRsWNHLFiwAAMHDvTW2zl0Zbt41AvX48zlYizffQYTe3ihxEjSZaJpku+PD5qusG56Fdj6DtDlJtNXkz5eLVErLK3A8QuFOHohHwcz85F26jL2nclFUZUuPPFRBozsmIhruyXjiib11FNC5EjOMeD8fkDQAk36OtwtLESLMZ2T8M1fp/Hmb0ex6I6e3jt5r98CmL4e2PAC8MebwJHVpq/mg4But5kyOF68Kl9RacSZy8U4fqEQ+87k4u8zudh3JrfaYrYhWg36t4rDNV2SMbxjAqJDg+BE+tBPpttWw2vc7cYrGuObv05j+e4zmDG0FVLqe+mDX6sHxrxsGs9Ps0ytoH94ANjwEpB6m+lzp34L77y3H3P1b8yGDRswa9Ys7N+/H8nJyZgzZw7uueceH46YiMg7Ko0iTuYUYu+ZXKSduow/j1/Ewcw8l1+nS+MYTO7TFNd0SUZYiP9PqbBHEEXP9yletmwZJk+ejHfffRf9+/fH//73P3z00Uc4cOAAmjSp3mrXWl5eHmJiYpCbm4voaM9MRP7fhmOY/8shRIRo8fak7t7v8CWKwKGVwMZXgMw0y+MR8UDz/2/v3oOjqPI9gH+750lCEiCvSUxIIgIBwnp5CeHplbtBRF10awHXG0FdruzqrhAtgfV6Qf9YspbrKqti6SI+1tJVAYtbcIVYJlF5ya5Bw0NAE5KsJIQEyJPMq8/9YzJDJpmZZMJMJj3z/VRNzaTndOd3+vSc07+e7p45jp3rtGlAwpg+3xnLaldwqd2CS21W1DZdQW1TB2ovX8G5pg7UNl1B5YU2t6PrXQ01aDE5Yzjmjk7AnNGJGJM8NHyPtnvyv6sdP6Z6w3847kbmQ8WFVix44XNY7QIPzMrC+tuyoQv2qVaNPzh2Uss/cPw2EgBo9ED6dOD6eY5kOWmC47SoPrSbEAKtZhvON5tR39yB8y0dqG82o665AzUX21HR0Iaai+2w2nt+9CUJyDbFYs7oBMy6IQHTMocP+q+dA6r6EPDGAkcSvPpbrzcPABzr+Z7XD+FQxUVkm2LwWv7U4B/VsrQ7tuX9LwKt569Ojx/t2FYyZztOtxye2adtxZNg9MGB5u8YU1lZiZycHKxcuRIPPfQQ9u/fj9/85jd477338POf/7xP//Na10vmut2u12cLF/k9PxGFNyEEWsw21Dd3oK7JjPOd4/ePl66g5tIV/Ktz/A6U1Dgj8nMzsWRqGuKHGgK23GDwp/8NSmIzffp0TJ48GVu2bHFNGzduHBYvXoxNm3z/+nowBlWrXcGKbV9h//eNAIDJI4dh5qgEjDHFICFaj/ihBkTpNdBrZeg0MnQayW1n1rmGBES3vx0bol0RsNqdzwpsioDNrsBqU2A4dxBxpz7AsKp90Frd76AkIKHVmIJLQ0aiSRuPS3I8LsojcAmxaLTqccGix3mzFnUdOtSbdbBCCwu0sEEDO2QAPXdcEobqMSpxKMYkx+DG9GH4t/Q4XJ8wNPy/lelOsTtuGPD128DBlxzTVux27Pj14p1DVXjq42MAgJQ4I27JTsJP0uJgihuChKF6DNFpYOx86DQSJEmCBMd+pATJtT/pfLYroudDCNjsAoq4Ok1qrkHMdx8h7vRHMLZU9Yjrim44moako1mfhMvaJDTII3BRiUajbQgu2Iy4YDGgzqzHRbOENpsMC7SwQAcLtPC0rRi0MjLjozEuJQYT04bhJ2lxGJ8SGx53wfOHEEDbBaCiBNj3346E4d/+E1j8cq+z1lxsx12v7EdDqwV6jYx/z07ElIzhSB8ehYQYA4ZH6WHQyjA4+xatDG3nZ7Frz9u9bwEApXMbsSoKbHbHa5vS2b+Y2xH9wx4M+34HYs99CUm4/+hja9wYDF3Tvx+DVUNi4+8Ys3btWuzatQsnT169GHbVqlX45ptvcPDgwT79TyY2RIOLEAJCOPpKxfV8dUy12B19p3PfzGrvto/m7FO7TLfaFZitCsw2O8w2xfGwdnlts3e+73jdbrGjzWxDq9mGdosdrWYb2sy2QXP3w+RYA3Kvj0fuqHhMz4pH+ogoaFS4PxjSxMZisSAqKgoffvgh7rrrLtf0Rx99FEePHkVpaalbebPZDLPZ7BZ8enp6wAfVDqsdz35yCm8dPAt7CLY4HWyYKp/CTdJ3mCZ/hwlyFYZLrf1engIJiqSFIusAWQtJo4NGI0OWNJ171FKXZ7lzv7b7tO7lum3sHjcND9MGUzm7FTC3AJZut+Gd8zgw/ykPy/Vs97e12LDrOBpazb0XDjiBTKkOs+VjmCGfwDipGllSHWSp/9utTdLBLukAjRayJEPWyJBlDSRJdmwLrm2ic7twe/acRKuWYnVsJ3aL49nSBti7tHPSeOD+/wOGDOvT4s5dvoKCD47iUMXF3gsHQSxakSufxEz5GCbJ32OsVINvjVMxbf3efi1vsCc2/o4xADB37lxMmjQJL774omvazp07sWTJErS3t0On63mKZaDHpq6JDRHRtUgfMQQ3JA7FqMShGJU0FDckDUW2KQYxYXq6uD/jUsAPzTY0NMButyM52f1Xx5OTk1FX1/NipU2bNuHpp58OdBg9GHUa/M8d47Fq3vXYe+I8yv91GWcb23GxzYLGVjM6rIorY+8vrSxBq5Ggk2VoNRK0Ghk62fGs1UholKejSM5FqVZGlE5GkrYVmeJHXKfUYoRyEcOVi4i1NSLa3gyjuAKDvR06eys01jbItitu/0uGgCycO2gArNe4gsKR1ui4rummh/y+Te6in6Rg/rgklJ6+gK8qL+L7+lacb+5AY5sFHVY7Oqx2j6dy9YUsOX4nSCNL0EjS1deyDI0M6LUytNrROKobi++0S2DQyYiVrcgQ/4JJ1CNeaUC8/QJG2BsRLdoQZW+Fwd4Kva0FWmsrJMUCSbG5rwphhVZYAcVLUOQ4NXTC3cDMRxwX7fdR6rAheP+/cnHsxyZ8caYB5T9exvlmMxpazbjUZoHFrsBiU/p9BE+S4OpTNLLj22St81kjQStHo0qTgn/J87FLp0GURsHEeGBa//7doOfvGAMAdXV1HsvbbDY0NDQgJaXnLdcDPTYdf3oBJmzoX7JJROoVY9Qi1qhD7BAdYo3azmcdYodoER+tx/BoPeKj9UiONSI51oiEoQbotWF2t9EBFLRzTrpfw+Ht9rnr169HQUGB62/nUbFgSYo1In9GBgDPt2JWFMepH113Wp2nGTleO150rYq2c8c0qNetKIr7kWbFdvWIs93qeE8IAMJxnYbrdZfnHtM8lPN0ZN5jvbzUNdRlZQ1gjHPsmEbFX9PNGow6DRZMMGHBBJPH922dibAQjlOJup+i6NyCtN2SmAG5vkmxO7YPm9n9WbF3XsfjbP/ObaDra7f3lKvX/YQDIRzXL2m0jmdZB+iMQEwKoL22c4xzrovz+cOudkXAYlNgUxTXNuDcErz1LzqNrMrTBgZCX8cYX+U9TXcK9NgUbdDibOEiHPuxCcfPNaH5is11qoyz/3CNOp2xic6XzhD7en6Fs/eR+vBNq4DoUe7q9uiDh/UmeZ7c5X0P80i+/4+35flua98xeHq/LzF4W0+96RqrP3WV3N7zPKfPunibx8f/97bN+Kqr7JxPcm4DkmNal+VdPUVbcpWXXOUdUUkSIEsSNLLz2TFuyp1jqCxdne56v/O184Ch3Fne/eDP1QNCEXV9cYQKeGKTkJAAjUbT48hZfX19jyNmAGAwGGAwDJ6LlmRZgkHWYNBdZiDLgGy45p0vChzHN3GhjsILWQPIQwDdkFBHQp00stR5l5nButGog79jDACYTCaP5bVaLeLjPd+qO1hjU28JMBER9V/Av+vS6/WYMmUKioqK3KYXFRVh5syZgf53REQUQfozxuTm5vYov2/fPkydOtXj9TVERKROQTmJr6CgAH/961/xxhtv4OTJk1izZg2qq6v5mwFERHTNehtj1q9fj/vuu89VftWqVaiqqkJBQQFOnjyJN954A1u3bsXjjz8eqioQEVEQBOWEq6VLl6KxsRHPPPMMamtrkZOTgz179iAjw/N1LURERH3V2xhTW1uL6upqV/msrCzs2bMHa9aswcsvv4zU1FRs3ry5z79hQ0RE6hCU37G5FoP9VqNEROGMfbBnXC9ERKHhT//L+8kREREREZHqMbEhIiIiIiLVY2JDRERERESqx8SGiIiIiIhUj4kNERERERGpHhMbIiIiIiJSPSY2RERERESkekxsiIiIiIhI9ZjYEBERERGR6jGxISIiIiIi1dOGOoDuhBAAgObm5hBHQkQUeZx9r7MvJgeOTUREoeHPuDToEpuWlhYAQHp6eogjISKKXC0tLYiLiwt1GIMGxyYiotDqy7gkiUF2WE5RFJw7dw4xMTGQJMnv+Zubm5Geno6amhrExsYGIcKBF451AsKzXuFYJyA86xWOdQKuvV5CCLS0tCA1NRWyzLOVnTg2BQ/XjW9cP95x3XgXTuvGn3Fp0H1jI8sy0tLSrnk5sbGxqm/I7sKxTkB41isc6wSEZ73CsU7AtdWL39T0xLEp+LhufOP68Y7rxrtwWTd9HZd4OI6IiIiIiFSPiQ0REREREale2CU2BoMBGzZsgMFgCHUoAROOdQLCs17hWCcgPOsVjnUCwrdeasd28Y7rxjeuH++4bryL1HUz6G4eQERERERE5K+w+8aGiIiIiIgiDxMbIiIiIiJSPSY2RERERESkekxsiIiIiIhI9VSZ2LzyyivIysqC0WjElClT8MUXX/gsX1paiilTpsBoNOL666/Hq6++OkCR9m7Tpk2YNm0aYmJikJSUhMWLF+PUqVM+5ykpKYEkST0e33333QBF3buNGzf2iM9kMvmcZzC3EwBkZmZ6XO8PP/ywx/KDtZ0+//xz3HHHHUhNTYUkSfj444/d3hdCYOPGjUhNTcWQIUNw88034/jx470ud/v27Rg/fjwMBgPGjx+PnTt3BqkGPfmqk9Vqxdq1azFx4kRER0cjNTUV9913H86dO+dzmW+++abH9uvo6Ahyba7qra1WrFjRI74ZM2b0utxQtlUk8nfMihT9GSfCVbD65XARrL4wHPRlPzKSth/VJTZ///vfsXr1ajz55JMoKyvDnDlzsHDhQlRXV3ssX1lZidtuuw1z5sxBWVkZfv/73+N3v/sdtm/fPsCRe1ZaWoqHH34Yhw4dQlFREWw2G/Ly8tDW1tbrvKdOnUJtba3rMXr06AGIuO8mTJjgFl95ebnXsoO9nQDgyJEjbvUpKioCAPziF7/wOd9ga6e2tjbceOONeOmllzy+/+yzz+L555/HSy+9hCNHjsBkMuGnP/0pWlpavC7z4MGDWLp0KfLz8/HNN98gPz8fS5YsweHDh4NVDTe+6tTe3o6vv/4aTz31FL7++mvs2LEDp0+fxp133tnrcmNjY93arra2FkajMRhV8Ki3tgKAW2+91S2+PXv2+FxmqNsq0vg7ZkUaf8aJcBaMfjmcBKMvDBd92Y+MqO1HqMxNN90kVq1a5TYtOztbrFu3zmP5J554QmRnZ7tNe+ihh8SMGTOCFuO1qK+vFwBEaWmp1zLFxcUCgLh06dLABeanDRs2iBtvvLHP5dXWTkII8eijj4pRo0YJRVE8vq+GdgIgdu7c6fpbURRhMplEYWGha1pHR4eIi4sTr776qtflLFmyRNx6661u0xYsWCCWLVsW8Jh7071Onnz11VcCgKiqqvJaZtu2bSIuLi6wwV0DT/Vavny5+NnPfubXcgZTW0UCf8esSOLvOBEpAtUvh6tA9YXhqvt+ZKRtP6r6xsZiseCf//wn8vLy3Kbn5eXhwIEDHuc5ePBgj/ILFizAP/7xD1it1qDF2l9NTU0AgBEjRvRadtKkSUhJScH8+fNRXFwc7ND8dubMGaSmpiIrKwvLli1DRUWF17JqayeLxYK//e1veOCBByBJks+yg72duqqsrERdXZ1bWxgMBsybN8/rZwzw3n6+5gmlpqYmSJKEYcOG+SzX2tqKjIwMpKWl4fbbb0dZWdnABOiHkpISJCUlYcyYMVi5ciXq6+t9lldbW6lZf8asSOPPOBGp+tsvRxp/+8Jw1X0/MtK2H1UlNg0NDbDb7UhOTnabnpycjLq6Oo/z1NXVeSxvs9nQ0NAQtFj7QwiBgoICzJ49Gzk5OV7LpaSk4LXXXsP27duxY8cOjB07FvPnz8fnn38+gNH6Nn36dLz99tvYu3cvXn/9ddTV1WHmzJlobGz0WF5N7QQAH3/8MS5fvowVK1Z4LaOGdurO+Tny5zPmnM/feUKlo6MD69atwy9/+UvExsZ6LZednY0333wTu3btwnvvvQej0YhZs2bhzJkzAxitbwsXLsS7776Lzz77DH/6059w5MgR3HLLLTCbzV7nUVNbqV1/xqxI4u84Ean62y9Hkv70heHI035kpG0/2lAH0B/dj5ALIXweNfdU3tP0UHvkkUfw7bff4ssvv/RZbuzYsRg7dqzr79zcXNTU1OC5557D3Llzgx1mnyxcuND1euLEicjNzcWoUaPw1ltvoaCgwOM8amknANi6dSsWLlyI1NRUr2XU0E7e+PsZ6+88A81qtWLZsmVQFAWvvPKKz7IzZsxwu/h01qxZmDx5Mv7yl79g8+bNwQ61T5YuXep6nZOTg6lTpyIjIwO7d+/G3Xff7XU+NbRVOOH69qw/40Qk43bkXX/7wnDjaz8yUrYfVX1jk5CQAI1G0yPDrK+v75GJOplMJo/ltVot4uPjgxarv377299i165dKC4uRlpamt/zz5gxY1AdSe4uOjoaEydO9BqjWtoJAKqqqvDpp5/iV7/6ld/zDvZ2ct6RyJ/PmHM+f+cZaFarFUuWLEFlZSWKiop8flvjiSzLmDZt2qBuv5SUFGRkZPiMUQ1tFS76M2ZFst7GiUjV3345kvWlLww33vYjI237UVVio9frMWXKFNfdqJyKioowc+ZMj/Pk5ub2KL9v3z5MnToVOp0uaLH2lRACjzzyCHbs2IHPPvsMWVlZ/VpOWVkZUlJSAhxd4JjNZpw8edJrjIO9nbratm0bkpKSsGjRIr/nHeztlJWVBZPJ5NYWFosFpaWlXj9jgPf28zXPQHImNWfOnMGnn37ar2RZCIGjR48O6vZrbGxETU2NzxgHe1uFk/6MWZGst3EiUvW3X45kfekLw0Vv+5ERt/2E4o4F1+L9998XOp1ObN26VZw4cUKsXr1aREdHi7NnzwohhFi3bp3Iz893la+oqBBRUVFizZo14sSJE2Lr1q1Cp9OJjz76KFRVcPPrX/9axMXFiZKSElFbW+t6tLe3u8p0r9Of//xnsXPnTnH69Glx7NgxsW7dOgFAbN++PRRV8Oixxx4TJSUloqKiQhw6dEjcfvvtIiYmRrXt5GS328XIkSPF2rVre7ynlnZqaWkRZWVloqysTAAQzz//vCgrK3PdIaywsFDExcWJHTt2iPLycnHPPfeIlJQU0dzc7FpGfn6+212d9u/fLzQajSgsLBQnT54UhYWFQqvVikOHDoW8TlarVdx5550iLS1NHD161O1zZjabvdZp48aN4pNPPhE//PCDKCsrE/fff7/QarXi8OHDA1Kn3urV0tIiHnvsMXHgwAFRWVkpiouLRW5urrjuuusGdVtFmt7GrEjW2zgRSQLRL4ezQPSF4aov+5GRtP2oLrERQoiXX35ZZGRkCL1eLyZPnux2a+Tly5eLefPmuZUvKSkRkyZNEnq9XmRmZootW7YMcMTeAfD42LZtm6tM9zr98Y9/FKNGjRJGo1EMHz5czJ49W+zevXvgg/dh6dKlIiUlReh0OpGamiruvvtucfz4cdf7amsnp7179woA4tSpUz3eU0s7OW9D3f2xfPlyIYTj1pAbNmwQJpNJGAwGMXfuXFFeXu62jHnz5rnKO3344Ydi7NixQqfTiezs7AFN4HzVqbKy0uvnrLi42GudVq9eLUaOHCn0er1ITEwUeXl54sCBAwNWp97q1d7eLvLy8kRiYqLQ6XRi5MiRYvny5aK6utptGYOtrSKRrzErkvU2TkSSQPTL4SwQfWG46st+ZCRtP5IQnVdoExERERERqZSqrrEhIiIiIiLyhIkNERERERGpHhMbIiIiIiJSPSY2RERERESkekxsiIiIiIhI9ZjYEBERERGR6jGxISIiIiIi1WNiQ0REREREqsfEhoiIiIiIVI+JDVEA3XzzzVi9enWowyAiIiKKOExsiIiIiIhI9ZjYEAXIihUrUFpaihdffBGSJEGSJJw9ezbUYRERUYS6cOECTCYT/vCHP7imHT58GHq9Hvv27QthZETBIQkhRKiDIAoHTU1NWLhwIXJycvDMM88AABITE6HRaEIcGRERRao9e/Zg8eLFOHDgALKzszFp0iQsWrQIL7zwQqhDIwo4bagDIAoXcXFx0Ov1iIqKgslkCnU4REREuO2227By5Urce++9mDZtGoxGIwoLC0MdFlFQ8FQ0IiIiojD23HPPwWaz4YMPPsC7774Lo9EY6pCIgoKJDREREVEYq6iowLlz56AoCqqqqkIdDlHQ8FQ0ogDS6/Ww2+2hDoOIiAgAYLFYcO+992Lp0qXIzs7Ggw8+iPLyciQnJ4c6NKKA4zc2RAGUmZmJw4cP4+zZs2hoaICiKKEOiYiIItiTTz6JpqYmbN68GU888QTGjRuHBx98MNRhEQUFExuiAHr88ceh0Wgwfvx4JCYmorq6OtQhERFRhCopKcELL7yAd955B7GxsZBlGe+88w6+/PJLbNmyJdThEQUcb/dMRERERESqx29siIiIiIhI9ZjYEBERERGR6jGxISIiIiIi1WNiQ0REREREqsfEhoiIiIiIVI+JDRERERERqR4TGyIiIiIiUj0mNkREREREpHpMbIiIiIiISPWY2BARERERkeoxsSEiIiIiItX7fzC0f9z/oU9OAAAAAElFTkSuQmCC", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from scipy.integrate import ode\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "# Система уравнений\n", "def f(t, u):\n", " x, y = u\n", " dx = 1.5*x - x*y\n", " dy = -3*y + x*y\n", " return [dx, dy]\n", "\n", "# Создание объекта - интегратора системы\n", "r = ode(f).set_integrator('vode', method='adams',\n", " order=10, atol=1e-6,\n", " with_jacobian=False)\n", "\n", "# Задание начальных условий\n", "u0 = [10, 15]\n", "r.set_initial_value(u0, 0)\n", "\n", "# Время и шаг по времени\n", "T = 15\n", "dt = T/600.\n", "\n", "# Выходные переменные\n", "u = []; t = []\n", "\n", "# Итеративное вычисление\n", "while r.successful() and r.t <= T:\n", " r.integrate(r.t + dt)\n", " u.append(r.y); t.append(r.t)\n", "\n", "# Рисование\n", "\n", "fig = plt.figure(figsize=(10,5))\n", "ax1 = fig.add_subplot(1,2,1)\n", "ax1.plot(t, np.array(u).T[0], label='x(t)')\n", "ax1.plot(t, np.array(u).T[1], label='y(t)')\n", "ax1.legend()\n", "ax1.set_title('Временная развертка')\n", "ax1.set_xlabel('t')\n", "\n", "ax2 = fig.add_subplot(1,2,2)\n", "ax2.plot(np.array(u).T[0], np.array(u).T[1])\n", "ax2.set_title('Фазовый портрет')\n", "ax2.set_xlabel('x')\n", "ax2.set_ylabel('y');" ] }, { "cell_type": "markdown", "id": "f9cde419-cbe3-496e-a5af-05e86d7ed431", "metadata": {}, "source": [ "### Решение на заданной временной сетке на примере аттрактора Лоренца" ] }, { "cell_type": "code", "execution_count": 24, "id": "59e514ad-367e-4080-af5e-0e06ba91b00e", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "from scipy.integrate import odeint, solve_ivp\n", "import matplotlib.pyplot as plt\n", "from mpl_toolkits.mplot3d import Axes3D\n", "\n", "# Система: аттрактор Лоренца\n", "def lorenz(t, state, sigma, beta, rho):\n", " x, y, z = state\n", " dx = sigma * (y - x)\n", " dy = x * (rho - z) - y\n", " dz = x * y - beta * z\n", " return [dx, dy, dz]\n", "\n", "# Коэффициенты\n", "sigma = 10.0\n", "beta = 8.0 / 3.0\n", "rho = 28.0\n", "\n", "# Начальные условия\n", "y0 = [3.0, 1.0, 1.0]\n", "\n", "# Диапазон по времени\n", "t_span = (0.0, 40.0)\n", "\n", "# Сетка по времени\n", "t = np.arange(t_span[0], t_span[1], 0.001)\n", "\n", "# Решение на заданной сетке по времени\n", "result_odeint = odeint(lorenz, y0, t, (sigma, beta, rho), tfirst=True)\n", "\n", "fig = plt.figure(figsize=(15,5))\n", "ax1 = fig.add_subplot(1, 3, 1, projection='3d')\n", "ax1.plot(result_odeint[:, 0], result_odeint[:, 1], result_odeint[:, 2])\n", "ax1.set_title(\"odeint\")\n", "\n", "# Решение на адаптивной сетке\n", "result_solve_ivp = solve_ivp(lorenz, t_span, y0, args=(sigma, beta, rho), dense_output=True)\n", "m = result_solve_ivp.sol(t)\n", "ax2 = fig.add_subplot(1, 3, 2, projection='3d')\n", "ax2.plot(m[0, :], m[1, :], m[2, :])\n", "ax2.set_title(\"solve_ivp\")\n", "\n", "ax3 = fig.add_subplot(1, 3, 3)\n", "ax3.plot(t, result_odeint[:, 0], label='odeint')\n", "ax3.plot(result_solve_ivp.t, result_solve_ivp.y[0], label='solve_ivp')\n", "ax3.set_xlim(0,20);\n", "ax3.legend();" ] }, { "cell_type": "markdown", "id": "d5c4baab-32d1-4c61-81bf-b20a33205ccd", "metadata": {}, "source": [ "## Решение с граничными условиями на примере задачи Штурма — Лиувилля" ] }, { "cell_type": "code", "execution_count": 39, "id": "d34200b2-3ac7-422e-baf7-69f5f790f73f", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from scipy.integrate import solve_bvp\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "# Уравнение:\n", "# y'' + k**2 * y = 0\n", "def f(t, u, p):\n", " k = p[0]\n", " y0, y1 = u\n", " return np.vstack((y1, -k**2 * y0))\n", "\n", "# Граничные условия:\n", "# y(0) = y(1) = 0\n", "# y'(0) = k\n", "def bc(xa, xb, p):\n", " k = p[0]\n", " return np.array([xa[0], xb[0], xa[1] - k])\n", "\n", "# Начальное предположение о f\n", "t = np.linspace(0, 1, 5)\n", "u = np.zeros((2, t.size))\n", "\n", "x_plot = np.linspace(0, 1, 100)\n", "\n", "fig = plt.figure(figsize=(10,5))\n", "\n", "# Одно решение\n", "u[0, 1] = 1\n", "u[0, 3] = -1\n", "\n", "sol = solve_bvp(f, bc, t, u, p=[6])\n", "\n", "ax1 = fig.add_subplot(1, 2, 1)\n", "ax1.plot(x_plot, sol.sol(x_plot)[0])\n", "ax1.scatter(t, u[0], color='red')\n", "ax1.set_xlabel(\"t\")\n", "ax1.set_ylabel(\"f(t)\");\n", "ax1.set_ylim(-1,1)\n", "\n", "# Другое решение\n", "u[0, 1] = np.sqrt(2)/2\n", "u[0, 2] = 1\n", "u[0, 3] = np.sqrt(2)/2\n", "\n", "sol = solve_bvp(f, bc, t, u, p=[6])\n", "\n", "ax2 = fig.add_subplot(1, 2, 2)\n", "ax2.plot(x_plot, sol.sol(x_plot)[0])\n", "ax2.scatter(t, u[0], color='red')\n", "ax2.set_xlabel(\"t\")\n", "ax2.set_ylim(-1,1);\n" ] }, { "cell_type": "markdown", "id": "f8781bf8-62a7-40db-8953-ef973344a31f", "metadata": {}, "source": [ "## Численное решение дифференциальных уравнений в частных производных\n", "\n", "### Решение с использованием модуля findiff" ] }, { "cell_type": "code", "execution_count": 45, "id": "34c695d8-6df6-4ddd-b39e-22b1b0af0c8a", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from findiff import PDE, BoundaryConditions, FinDiff\n", "from matplotlib import cm\n", "\n", "shape = (100, 100)\n", "x, dx = np.linspace(start=0, stop=1, num=shape[0], retstep=True)\n", "y, dy = np.linspace(start=0, stop=1, num=shape[1], retstep=True)\n", "X, Y = np.meshgrid(x, y, indexing=\"ij\")\n", "\n", "L = FinDiff(0, dx, 2) + FinDiff(1, dy, 2)\n", "f = np.zeros(shape)\n", "\n", "bc = BoundaryConditions(shape)\n", "# Граничные условия Ньюмана\n", "bc[1, :] = FinDiff(0, dx, 1), 0\n", "bc[1:-1, -1] = FinDiff(1, dy, 1), 0\n", "# Граничные условия Дирихле\n", "bc[-1, :] = 300.0 - 200 * Y\n", "bc[:, 0] = 300.0\n", "\n", "\n", "pde = PDE(L, f, bc)\n", "u = pde.solve()\n", "\n", "plt.pcolor(X, Y, u);" ] }, { "cell_type": "markdown", "id": "21d24c3e-b8db-4055-bc03-47fa334c213e", "metadata": {}, "source": [ "### Решение с использованием модуля pde" ] }, { "cell_type": "code", "execution_count": 49, "id": "77bd3ac3-eee6-46db-96bc-fa4640a8695a", "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "cb87d93bd3674e3a99f14d68a91b795f", "version_major": 2, "version_minor": 0 }, "text/plain": [ " 0%| | 0/12.566370614359172 [00:00" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "from pde import CartesianGrid, ScalarField, WavePDE, FieldCollection\n", "\n", "x_range = [-np.pi, np.pi]\n", "y_range = [0, 2*np.pi]\n", "\n", "grid = CartesianGrid([x_range, y_range], [200, 200])\n", "u = ScalarField(grid)\n", "v = ScalarField(grid)\n", "state = FieldCollection([u, v])\n", "\n", "fig = plt.figure(figsize=(15,5))\n", "\n", "eq = WavePDE(0.1, bc={\"x\": {\"derivative\": 0},\"y-\": {\"value\": 0}, \"y+\": {\"value_expression\": \"sin(0.5*t)\"}})\n", "result = eq.solve(state, t_range=4*np.pi, dt=0.0005)\n", "ax1 = fig.add_subplot(1, 3, 1)\n", "ax1.imshow(result[0].data, extent= x_range+y_range, origin='lower')\n", "\n", "result = eq.solve(result, t_range=4*np.pi, dt=0.0005)\n", "ax2 = fig.add_subplot(1, 3, 2)\n", "ax2.imshow(result[0].data, extent= x_range+y_range, origin='lower')\n", "\n", "result = eq.solve(result, t_range=4*np.pi, dt=0.0005)\n", "ax3 = fig.add_subplot(1, 3, 3)\n", "ax3.imshow(result[0].data, extent= x_range+y_range, origin='lower');" ] } ], "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": "3.12.6" } }, "nbformat": 4, "nbformat_minor": 5 }