{ "cells": [ { "cell_type": "code", "execution_count": 80, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "code", "execution_count": 81, "metadata": {}, "outputs": [], "source": [ "#Volterra’s (1926) simple model\n", "\n", "#1. The prey population finds ample food at all times.\n", "#2. The food supply of the predator population depends entirely on the size of the prey population.\n", "#3. The rate of change of population is proportional to its size.\n", "#4. During the process, the environment does not change in favor of one species, and genetic adaptation is inconsequential.\n", "#5. Predators have limitless appetite\n", "\n", "b = .4 #rate of prey increase\n", "d = .1 #predator mortality rate\n", "k1 = .02 #predation rate\n", "k2 = .002 #consumption rate\n", "\n", "n1 = 6. #number of prey\n", "n2 = 2. #number of predators\n", "\n", "dt = .25\n", "t = 0.\n", "tmax = 100.\n", "\n", "m = 10000. #prey carrying capacity\n", "\n", "#keep track of iterations\n", "times = []\n", "predator_cumulative = []\n", "prey_cumulative = []\n", "jsteps = round(tmax/dt)" ] }, { "cell_type": "code", "execution_count": 82, "metadata": {}, "outputs": [ { "data": { "image/png": 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LgVZgEVAH/BD4aKk7LUmSJA1YG1bAmIP2fHzEBCv4UoWpiICfUnoQGLyX49cA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\n5847PTdx4kQmTpzoKaKYKX4A8jrB/uf5jiR1NFTwN6uCLyIiktZWvA1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DABERkV0rWwwv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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for i in range(0,jsteps):\n", " d1 = (b*n1*((m-n1)/m) - k1*n1*n2)*dt #dampered by carrying capacity\n", " d2 = (k2*n1*n2 - d*n2)*dt\n", "\n", " n1 = n1 + d1\n", " n2 = n2 + d2\n", " t = t + dt\n", "\n", " prey_cumulative.append(n1)\n", " predator_cumulative.append(n2)\n", " times.append(t)\n", "\n", "plt.subplots(figsize=(12, 7))\n", "plt.plot(times, prey_cumulative, label='prey', color='#ff8000')\n", "plt.plot(times, predator_cumulative, label='predator', color='#0000ff')\n", "plt.ylabel('Number of Animals')\n", "plt.xlabel('Timestep')\n", "plt.title('Counts of Animals')\n", "plt.legend(loc='upper left')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 83, "metadata": {}, "outputs": [ { "data": { "image/png": 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RnKmdDUlr8EWCkpDgdt8fMQLWr3dN/TXXuGn8jRpBmTLQtaub3r93b9DVioiI\niIhItInrBj9tq4pff4VVq7TBXswbPDjoCiImXz43gv/MM27J1ZdfQuvWMHkyXHCBa/bvugtmzfK8\n2fcoU0F5+kZ5+kV5+keZ+kV5SpjiusFPDP2aGtraQA1+jNu5M+gKckW+fG5t/tCh7k4Pc+dCu3bw\n4Ydw0UVw8slw553w2WduAz+veJpp3FKeflGeflGe/lGmflGeEqa43kUfSElJSWHGjGQGDoRt27QG\nX2KHtTB/Pkyc6L7WrIETToCrr4brrnNr+/PnD7pKERERERFJo13080BqKtSqpeZeYosxUKcOPPGE\nW2Iyfz7ccgvMmAGXXgqlS8Ntt8H06bB7d9DVioiIiIhIblNLC6xYAdWqBV2FyJEzBs45xy3P+vFH\nt2nkbbe5W/A1beqa/dtvh6+/diP/IiIiIiLin7hu8I8P/bphA5xySqClSCRs3Rp0BVHBGHdHiMcf\nhx9+gAULoHNn+PhjqFsXataEkSPdkpSop0z9ojz9ojz9ojz9o0z9ojwlTHHd4I/BTV3evNntSi4x\nrmPHoCuIOsa4hn7gQFi5EqZOhVNPhR494KST4Kab3O34onZUX5n6RXn6RXn6RXn6R5n6RXlKmOK6\nwe+H+zDMWo3ge6Ffv6AriGoJCXDZZfD227BuHfTtC199BY0awemnw9NPR+GHw8rUL8rTL8rTL8rT\nP8rUL8pTwhTXDf4C3Og9qMH3QnJy0BXEjNKl4f77Yfly+PRTN8r/wAPufdCmjTu2b1/QVaJMfaM8\n/aI8/aI8/aNM/aI8JUxx3eCDGnyJb/nyQePGMH6824vi8cfh22/hkkugShX3/c8/B12liIiIiIiE\nQw3+ZkhMhBIlgq5EJFhJSfDvf8PixW5dfsOGMGAAlC0LrVq59ft79wZdpYiIiIiIZCeuG/yOuAb/\nlFPcZmQS40aPDroCLxgD550Hr7wCP/0Ew4a5W+81awaVKkH//m4Nf55Qpn5Rnn5Rnn5Rnv5Rpn5R\nnhKmuG7wkznQ4IsHUlODrsA7JUrAXXfBwoUwbx40aQJPPAEVKkDz5vDee7BnTy4WoEz9ojz9ojz9\nojz9o0z9ojwlTMZG7f2xcpcxJhlIqVkzhTPOSOa114KuSCQ2/P47vPkmvPgizJ/vbrd3yy3QqRNU\nrBh0dSIiIiIi0Ss1NZXatWsD1LbWRvyTm7gewQeN4IscrqJF4bbb4OuvYcECuPpqGDnSTd+/9FKY\nOBF27QpGQ5r2AAAgAElEQVS6ShERERGR+BP3Df6vv7pbhonI4atZE5591q3VHzsW/voLrr8eypSB\ne++FZcuCrlBEREREJH7EfYP/999QsmTQVYjEtsRE6NAB5syB//0PbrgBxoyBatXgggvg9dfde01E\nRERERHJPXDf474V+LV480DIkUlq0CLoCAU4/HYYOhQ0b4I03ICEB2reHk0+Gbt3g++8P48mUqV+U\np1+Up1+Up3+UqV+Up4Qprhv8kaFf1eB7okuXoCuQdI49Ftq2hc8+g+XL4fbb3eZ8Z50F9eu7Ef4/\n/zzEkyhTvyhPvyhPvyhP/yhTvyhPCVPc76IPKaSkJJOcHHRFIv7btQs++MDtwD99OhQp4qbz33Yb\neg+KiIiIiPe0i34e0Ai+SN445hi45hqYNg1WroTu3V3DX7u2+3r+edixI+gqRURERERiU1Q0+MaY\n840x7xtjNhhj9hljDlpkYowZYIzZaIzZaYyZYYw5NdPPCxpjnjXGbDXG/G6MmWSMKRXO66vBF8l7\nFSrAgAGwejW8/767XeVdd8FJJ0HHjjB3LsTpBCMRERERkSMSFQ0+UBhYCPwLOOif9MaY+4AuwO1A\nHeBP4GNjzDHpThsGXAFcAzQCTgbezulFW4Z+VYPvicmTg65AjkD+/HDlla7JX7sWHnjArdtv0AC6\nV5jM8OHudpbiAb1H/aI8/aI8/aNM/aI8JUxR0eBba6dZa/tYa98DTBandAMesdZ+aK39HrgJ18Bf\nBWCMKQZ0BHpYa2dbaxcAtwANjTF1snvdtriNwAoUiPAFSTDGjw+6AjlKp5wCDz/spu9//DG03jee\ne+5xO/C3bw+zZ2tUP6bpPeoX5ekX5ekfZeoX5SlhirpN9owx+4CrrLXvh76vCPwI1LTWfpfuvFnA\nAmttD2NMY2AGUNJauyPdOauBodbaZ7J4nWQgJSkphS1btLuXSLTatAleecVtzLdiBVStCp06QYcO\ncMIJQVcnIiIiIhI+bbIHpXHT9jdlOr4p9DOAE4Fd6Zv7LM7JUpEikShRRHLLiSdCr17uVnszZ7rN\n+B56yI32X389zJgB+/YFXaWIiIiISPBiocHPNfWBE9Y3o0WLFhm+xtevf/A6l+nTocVBe/+5XcFG\nj854LDXVnbt1a8bjffvC4MEZj61d685dujTj8REj4N57Mx7budOdO2dOxuPjx8MttxxcW+vWug5d\nhzfXYQxceCG8/jr82n8EX513L//7HzRpAqeeCoP77uTvJtF/HRnEcB66Dl2HrkPXoevQdeg6dB26\njpyvY/yoURl7zapVuf/aaw9+jgjyZYr+RcAnHMEU/XPOSWH+fE3RF4lF1rrd9l98ESZMgF27oHlz\nuO02uOwySEgIukIRERERkQPifoq+tXYV8DNwcdqx0KZ6dYGvQodSgD2ZzqkKlAPmZvfcY3D35RZP\nZPXpm8S2Q2RqjNtt/+WX4aef3Ae2a9a4Jr9CBfdh79q1eVOqhEHvUb8oT78oT/8oU78oTwlTVDT4\nxpjCxpizjTE1Q4cqhb4vG/p+GPCwMeZKY8xZwDhgPfAeQGjUfjTwtDHmQmNMbVz//qW19uvsXnc6\nULBgLl2U5L0mTYKuQCLtMDItXhzuvNPNiJo/H5o1g6efdo1+s2bw7ruwe3fulSph0HvUL8rTL8rT\nP8rUL8pTwhQVU/SNMRcAM3Gb6aX3irW2Y+icfsDtQAngC+Aua+2KdM9REHgSd/e7gsC00Dmbs3nN\nZCDl8stTmDJFU/RFfPTHH27q/qhR8PXXULo03Hyz24W/cuWgqxMRERGReJPbU/SjosEPQlqDf9VV\nKbz7rhp8Ed99951bq//aa7BtGzRuDLffDlddpZk8IiIiIpI34n4Nfm7TP+xF4kONGm6N/saNMG6c\nm67fpo273d499xy8AauIiIiISKyJ6wa/IWrwvZL5thcS+3Ih00KF4MYb4fPPYfFi6NABXnkFqleH\n88+HV1+Fv/6K+MsK6D3qG+XpF+XpH2XqF+UpYYrrBr8XavC9MmRI0BVIpOVyptWrw1NPwYYN8Oab\n7u+Dm26Ck0+Grl3dtH6JIL1H/aI8/aI8/aNM/aI8JUxxvQa/EKTc2iWFESO0Bt8LO3dCYmLQVUgk\nBZDpjz/C6NEwZgxs2gR16sBtt7np/EWK5Gkp/tF71C/K0y/K0z/K1C/K0xtag5+L/kIj+F7RX3r+\nCSDTypXhscdg3Tp45x04/ni3Gd9JJ8Edd8A330Ccfi569PQe9Yvy9Ivy9I8y9YvylDDFdYMPavBF\nJGsFCsDVV8OUKbB6tduIb8oUOPdcSE6G//wHtm8PukoRERERkQPivsEvUCDoCkQk2pUrB/36uUb/\nww+hfHm4+243qn/zzfDllxrVFxEREZHgxXWDPwRISAi6ComYe+8NugKJtCjLNCEBrrgCJk+GtWvh\n4YfdbvznnQdnngnDhsEvvwRdZRSLsjzlKClPvyhP/yhTvyhPCVNcN/hrUYPvlXLlgq5AIi2KMz35\nZHjwQVixAmbMgDPOgF694JRToF07mDlTo/oHieI85QgoT78oT/8oU78oTwlTXO+iD6QMHpxCr17a\nRV9Ejt7mzTBuHLz4IixfDqedBp06QYcOcOKJQVcnIiIiIkHTLvq5TCP4IhIppUpBz56wdCnMng11\n60KfPlCmDFx7LXz8MezbF3SVIiIiIuIrNfhq8EUkwoyBRo3g1Vdh40Z46ilYtgwuuwwqVYJHHoEN\nG4KuUkRERER8E9cNflUgf/6gq5CIWbo06Aok0jzI9Ljj3I77330Hc+fCxRfDoEFuKV2LFvDBB7Bn\nT9BV5hEP8pR0lKdflKd/lKlflKeEKa4b/CGowfdKr15BVyCR5lGmxkC9ejB6NPz0Ezz7rBvFb9HC\n3Xavd293Gz6veZSnoDx9ozz9o0z9ojwlTHHd4HdBU/S9MnJk0BVIpHmaabFi0LkzpKS4rxYt4Jln\n3PT9yy6Dt9+G3buDrjIXeJpn3FKeflGe/lGmflGeEqa4bvDXoQbfK7p9iH/iINPkZHjuOTeq/9JL\nsH2725CvTBm47z744YegK4ygOMgzrihPvyhP/yhTvyhPCVNcN/igBl9EokPhwtCxo1unv2gRtGnj\nbrdXpQpcdBGMHw9//x10lSIiIiISzeK+wdcafBGJNmee6absb9gAr70G1kK7dnDKKW4J3rp1QVco\nIiIiItEorhv8XqjB98rgwUFXIJEW55kWKgQ33ACzZrnNc2+5BUaNgooV3Qj/vHlBV3iY4jxP7yhP\nvyhP/yhTvyhPCVNcN/iJaIq+V3buDLoCiTRlul/VqvDkk7B+PQwdCt9843blb9AAJk6MkVvtKU+/\nKE+/KE//KFO/KE8Jk7HWBl1DIIwxyUDKO++kcPXVyUGXIyJyWPbuhQ8/dM3+7NnuVntdu0KnTlC8\neNDViYiIiEhWUlNTqV27NkBta21qpJ8/rkfwQSP4IhKbEhKgZUs3fT81FRo1ggcecLvvd+sGK1cG\nXaGIiIiI5LW4b/C1Bl9EYl2tWjBuHKxZ45r711+HU0+FVq3giy/cJn0iIiIi4r+4bvCPRyP4Xtm6\nNegKJNKU6WE56SR49FFYuxaef95tzNeoEZx7rmv6d+0KuEDl6Rfl6Rfl6R9l6hflKWGK6wZ/DBrB\n90rHjkFXIJGmTI9IYiLcfjt8/z1MnQrHHw/t27vd9x9/HH75JaDClKdflKdflKd/lKlflKeEKa4b\n/H5oBN8r/foFXYFEmjI9KvnywWWXwccfu2a/WTPo3x/KloXOnd0If55Snn5Rnn5Rnv5Rpn5RnhKm\nuG7wF6AG3yvJuhuCd5RpxJxxBrz4Iqxb5zbjmzwZqleHK66ATz7Jo3X6ytMvytMvytM/ytQvylPC\nFNcNPrgRLhGReHHCCdC7t9uQb+xY2LABLr0Uzj4bxoyBv/8OukIREREROVJx396qwReReFSwIHTo\nAAsWwGefQYUK0KkTlC/vZgFu2hR0hSIiIiJyuOK6ve0IGBN0FRIxo0cHXYFEmjLNdcbARRfB++/D\nsmVw3XXwxBNQrpzbz2fRogi+mPL0i/L0i/L0jzL1i/KUMMV1g5+MRvC9kpoadAUSaco0T512Gowc\n6dbpDxgA06dDjRpwySXw0Uewb99RvoDy9Ivy9Ivy9I8y9YvylDAZmyc7K0UfY0wykDJvXgp16mjT\nChGRzHbvhkmTYOhQmD8fqlaFbt3gppugcOGgqxMRERGJPampqdSuXRugtrU24p/cxP34taboi4hk\nrUABaNsW5s2DOXPgzDOhSxd3m70HHnAb9ImIiIhI9Ij7Bl9T9EVEcmYMNGzoRvNXrICbb4Znn3Ub\n891wA3zzTdAVioiIiAiowdcIvojIYahYEZ5+Gtavd5vxzZ0L554L558P774Le/cGXaGIiIhI/Irr\nBv+9oAuQyGrRIugKJNKUadQqVgy6d4cffoC333bHWrWCKlXgmWfg99+zeJDy9Ivy9Ivy9I8y9Yvy\nlDDlD7qAII0EBgVdxGHYtw/+/NP9w/n332HHjoy///NPOOEEOPVUqFwZihQJuuI81qVL0BVIpCnT\nqJeQ4Br7Vq3cVP2hQ6FnT+jTBzp1gq5d3VR+QHn6Rnn6RXn6R5n6RXlKmOJ+F/2UlBSSk4PZRX/v\nXpg1C77++kCznrlpT//rH39ATnHly5fxNlalS7tmP+2rcuUDvy9RItcvT0Ti1Pr1bo3+Cy/A9u2u\n+e/RA+rX17IoERERiW+5vYt+XI/gB8FaSEmB11+HN9+En392zXbJklC0qJv2WrQoJCW5ta7pj2X3\n+7RfCxaEX35xm2Clff34IyxdCh9+CFu3Hqjj+OMzNv/pv44/Xv8IF5EjV6YMPP44PPwwjBsHw4a5\nTfrq1HGN/jXXuB36RURERCSy1ODnkR9+gDfecF/Ll0OpUtCmDbRr5/7RG6mGOinJfdWrd/DPtm1z\nDX/6DwBWrIBPP3UfNKQpXvzgEf+0r9Kl1fyLSHgKF4Y774Q77oCpU930/bZt3QcAXbvCbbe5DzdF\nREREJDLiusFvmcvP/9NPMGGCa+rnz3ej7K1awYgR0Lgx5M/jP/0SJaB2bfeV2R9/ZN38f/WVm26b\nJjExY8Nfs6a7lhNPzLvryNbkyXDVVUFXIZGkTL2QLx9ccQVcsXsy3z51FcOGQe/eMGCAu+Vet25w\n2mlBVymHTe9PvyhP/yhTvyhPCVNc76LfNheec+dOePlluPRSN0rVqxecfDK89RZs2gRjx0KTJnnf\n3B9KkSJw9tlu6ux998GLL8LMmbBunbum//0P3nsPHnnETbX9/Xd3Te3auVH9GjXg3/+Gjz7KZvfs\nvDB+fEAvLLlGmfpl/HjOPtv9HblmDdxzj/t7pGpVtznwzJk57zMiUUbvT78oT/8oU78oTwmTNtmL\n4CZ7q1dDy5awaBFccAHccINrmH2egvrTT/DZZ/DJJ26q/7p17sOLunXh4ovdV716cMwxQVcqItHo\n77/dniRDh7oPEmvWdLffa9PG7SsiIiIi4pPc3mRPDX6EGvzZs+Haa92Gd5Mnw1lnHX2NscZat9fA\np5+6r88+g99+c9P6GzWCSy5xDX+NGm7KrohIGmvdB4VDh7r1+qVLw7/+BZ07u9t/ioiIiPggtxt8\ntVkR8NxzrnmtUcPd8i4em3twm+9VqeI21Zo0CbZscffF7tPH3RLw4YehVi23Xr91axg1ClauDLpq\nEYkGxrilTVOmwOLFbjbU449DuXJuM77//S/oCkVERESinxr8o7Brl2tm//Uv9/Xxx+4Wc+IkJLgN\n/e67D6ZPd6P5n33mdtRes8b92VWu7G4H2KmTu23g5s1BVy0iQateHZ5/3i356d3b7e1x5pnQtClM\nm6Z1+iIiIiLZiesGf8xRPHbLFjfaNHo0vPQSPPNM9G2cF22OPRYuuggefRT++1/49Ve3cd+VV8Lc\nue72WSee6Db7O6IN+265Jddql4AoU78cZp7HHw8PPuj2N3n1Vdi6FS6/3DX7L74If/2VO2VKmPT+\n9Ivy9I8y9YvylDDFdYM//Qgf9+23cO65sHSp2/X51lsjWlbcKF7c7Zw9fLibfrthg/tHfHIyTJwI\nzZvDccfBeedB377wxRdu1kS2mjTJs9oljyhTvxxhnsccA+3buyU/s2e7pUB33OGm7/fu7Tb7lADo\n/ekX5ekfZeoX5Slh0iZ7h7nJ3vffu13hq1Rxm+mVK5d7NcaztA370nbnnznTTfEvXNht2Je2Q782\n7BOJTz/+6D4cHD3affDXti306OF24RcRERGJVtpFP5ccSYO/Zw80aAB//AHz57tmU/LG3r2wYIFr\n9j/5BObMcbfXSkqCxo0P7NBfqVLQlYpIXtq2zS2TGjEC1q6FCy90jX7z5vrwT0RERKKPdtGPIsOG\nuSmiY8aouc9rCQlwzjluw74ZMw5s2Hf77W7Dvs6dD2zYd9tt2rBPJF6UKAE9e7oR/QkT3Ad/LVtC\n1aowcqT7QFZEREQkXsR1g9/wMM5dvtyt9ezRw03Rl2Clbdg3cKDbsO+XX+Dzx+Zw5ZXw5ZcZN+y7\n7z43+h+nk1Vi25w5QVcgkZSLeebPD9df7zbsnDvX7eXRvTuULQu9erkd+SXC9P70i/L0jzL1i/KU\nMMV1g98rzPP27XO3cTvlFHjkkVwtSY5QiRJw/twhDB/u7qGdtmFfrVpujW5yMlSr5jbrW7Ik6Gol\nbEOGBF2BRFIe5VmvnhvNX7nS/d09apSb3dOmDcyblyclxAe9P/2iPP2jTP2iPCVMcb0GvxCkzAlj\nDf6zz0KXLjBrFlxwQd7UJ0dg505ITDzo8O7dbu3+m2/Cu+/Cjh1uc742baB1a63bj2rZZCoxKqA8\nf/8dxo51tzP98UeoX9/Nxrr6at3e9Kjo/ekX5ekfZeoX5ekNrcHPReHcQnn1ajfF+8471dxHvWz+\n0itQAC67zP0Df9Mm1+RXr+5mY1SuDHXrwtChbtRfooz+R+aXgPIsWhS6doVly9zdT445xk3nP/VU\neOop2L49kLJin96fflGe/lGmflGeEqa4bvAPxVq3idvxx8PgwUFXI5Fw7LFw1VUHNuEbPx5OOgnu\nv9+t1b3gAnjuOdiyJehKRSTSEhLcBnyzZkFKirvl5gMPQJky0K2bm9IvIiIiEsvU4Ofgv/91O7YP\nH+5GgMQvRYq4afqTJ7uR/TFjoFAhN9J30knQtCm8/LK7DZeI+CU5GcaNc7O0unWD1193I/qtWsEX\nX2hTThEREYlNcd3gH2qritGjoXx5uPLKPClHjta99x7xQ0uUgJtvhmnT4Kef3O21/vkHbr3V7cbf\nsqUb7dctt/LYUWQqUSgK8zz5ZHj0UVi7Fp5/HpYudSP7557rmv5du4KuMIpFYZ5yFJSnf5SpX5Sn\nhCmuG/y1Ofzsjz/cLsy33AL54vpPKYaUKxeRpznhBOjc2U3jXbfOLc/YtAnatYNSpdzGfO++6+63\nLbksQplKlIjiPBMT3ZKs77+HqVPd0qz27d3u+48/7m7FKZlEcZ5yBJSnf5SpX5SnhCmud9EHUlKy\n2UV/zBh3e6XVq/V+EmfVKvehz5tvwrffumUbV1/tpvlfconbzE9E/PH99zBsGLz2mvugt0MH6N4d\nqlYNujIRERGJVdpFPyCjR8Oll6q5lwMqVnSb8S1cCIsXw7//7fZpaNbMrdm/4w6YORP27g26UhGJ\nhDPPhJdectP377/fzdypVg2uuAI++UTr9EVERCT6qMHPwpIl8NVXbv21SFaqV4d+/dx63QUL3GyP\njz+Gxo0P7Mg9d64aABEflCoFffrAmjVu4831690HwGef7WZ7abmOiIiIRIu4bvCzm2U5Zoxbf9my\nZZ6WI0dr6dI8f0ljoGZNGDTITeGfO9et0Z84ERo0cKP+993nPgRQs38EAshUclGM51mwoNuMc+FC\n+PRTtwnrrbe6X/v1c3t1xJUYz1MyUZ7+UaZ+UZ4Sprhu8LPaRX/3bnfrpPbt3T/mJIb06hXoyxsD\n9eq5Nbvr1rnp+pdd5pZ7JCe7qb19+7oZIhKmgDOVCPMkT2PcbJ0PPoBly+Daa+GJJ9ySro4dYdGi\noCvMI57kKSHK0z/K1C/KU8IU15vslYWUyZk22fvkEzf1MjUVatUKsEA5fGvXRuWmCbt3u9G+N990\na3h37IAaNdzmfK1bQ6VKQVcYxaI0UzlCHuf566/w4oswYgRs2AAXXww9esDll3t8JxaP84xLytM/\nytQvytMb2mQvF63L4tjnn0NSkpt2LTEmSv/SK1DAjeSPHeum8L77rlvD/8gjULky1K0LQ4e6pkAy\nidJM5Qh5nOdxx7nlOKtWwRtvuA/ymjeH00+H556DP/8MusJc4HGecUl5+keZ+kV5SpjiusHPyuef\nw/nnuymYIpF27LFw1VVuNH/zZhg/3u3Af//9ULYsXHCBawa2bAm6UhE5EgUKQNu2MG8ezJnjduLv\n0sW9vx94QB/kiYiISO5Sg5/OP/+42541ahR0JRIPihRx0/QnT3Yj+2PGQKFC0LWra/qbNnU7dm/b\nFnSlInK4jIGGDWHSJFixAjp0gGefhQoV3B4vKSlBVygiIiI+iusGP/NWFd9845r8888PpBw5WoMH\nB13BEStRwu3OPW0a/PQTjBzp/lu89VY48cQDo/5eTvPNSQxnKlmI0zwrVnTLcNavhyFD4Msv4Zxz\n3IfJ774Le/cGXeERitM8vaU8/aNM/aI8JUxx3eAnZvr+88+haFF3b2OJQTt3Bl1BRJxwAnTuDLNm\nud34Bw+Gn392035LlTow6h8X9972JFMJifM8ixVzG++tWOFG9vftg1atoEoVeOYZ+P33oCs8THGe\np3eUp3+UqV+Up4QprnfRB1JS0u2if/nl7mdTpwZXl0h2Vq6Et95yI/nffuuahauvdg3/pZdCQkLQ\nFYrI4Zo/343uT5wIiYnQqZNbplOhQtCViYiISG7QLvp5ZO9eN21S6+8lWlWq5DbjW7gQFi92I4Fz\n57oPpipUgP793RRgEYkd557rdt1ftQruvNPtu1G5Mlx3HXz1FcTpZ/AiIiJyhNTgh3z3nZseqfX3\nEguqV4d+/WDpUvj6a9fkP/EElC8PLVrAhx/G8LpekThUpgwMGuSW5YwY4WbpNGwI9eq5WTu7dwdd\noYiIiMSCuG7wj0/3++++c7/WqhVIKRIJW7cGXUGeM8aNAI4aBRs3ul26162DK690G3vF/Kh+HGbq\nNeV5SIULw7/+5T68++ADd7eNtm3dDJ4hQ+C334KuMB3l6Rfl6R9l6hflKWGK6wZ/TLrfL10K5cq5\nf1xJjOrYMegKAlWsmNucLzXVjeo3bXpgVL9lS/jooxgc1Y/zTL2jPMOWLx80bw6ffuqW5VxyCfTu\nDWXLQpcu8MMPQVeI8vSN8vSPMvWL8pQwxXWD3y/d75cuhWrVgqpEIqJfv6AriAppo/ovvnhgVH/t\nWtcsVKwIAwbAhg1BVxkmZeoX5XlEzj7brc1fswbuucdttlm1qluOM3NmgOv0ladflKd/lKlflKeE\nKa4b/AXpfq8G3wOhuyHIAZlH9Zs0cbfdK1fOjepPmRLlo/rK1C/K86iULu2W3axd6z7AW7kSGjd2\nf6yvvAL//JPHBSlPvyhP/yhTvyhPCVNcN/hpdu929yVWgy++ShvVf+klN6o/cqQbDbziCre295FH\n3HERiX7HHgu33gqLFsH06a7xv/lmdzeNgQNh+/agKxQREZGgqMHHjYLs2aMGX+JD8eLudlwLFsC8\neW5t76BBblT/6qth6tQoH9UXEcB9cHfppe49u3ixm7L/yCNu342+feHXX4OuUERERPJaXDf4aVtV\nLF3qflWDH+NGjw66gphiDNSp4/7YNm6E4cPdh13Nmrn7cD/6aBSM6itTvyjPXFO9OrzwgnsP33KL\n22CzQgV48EHYsiWXXlR5+kV5+keZ+kV5SphiosE3xuQzxjxijFlpjNlpjFlhjHk4i/MGGGM2hs6Z\nYYw5NafnTVvJsnSpW6tcunSulC95JTU16ApiVvHi7tZcCxfCf//r1vU+9tiBUf1p0wIa1VemflGe\nue7kk2HoUFi1ys3UGT7cNfo9e8LPP0f4xZSnX5Snf5SpX5SnhMnYwLbfDZ8x5kGgO3ATsBg4BxgL\nPGitHRk65z7gvtA5q4FHgbOA6tbaXVk8ZzKQkpKSwrPPJvPddzB/fh5cjEiM2L4dXnvNjQouWuSm\n/d52m7tLy0knBV2diIRj61YYNgxGjIBdu9x7uFcvKFMm6MpERETiU2pqKrVr1waoba2N+Cc3MTGC\nD9QH3rPWTrPWrrXWvgNMB+qkO6cb8Ii19kNr7fe4Rv9k4KpDPfn69W6kUkQOKF4c7roLvv0W5s51\no/oDB7r7cLdqBR9/DPv2BV2liOQkKcktt1mzBh54wH1oV7myG91fsybo6kRERCTSYqXB/wq42Bhz\nGoAx5mygITAl9H1FoDTwadoDrLU7gHm4DwdytHGjm9YoIgczBurVgzFj3HvlmWfcXScuu8w1Co89\nBj/9FHSVIpKTEiWgTx9YvdrdSnnSJDj1VLcb/4oVQVcnIiIikRIrDf4gYAKw1BizC0gBhllr3wz9\nvDRggU2ZHrcp9LMcbdgAp5wSwWpFPFWiRMZR/QsvdKOD5crBNde4W3ZpVF8kehUr5kbyV692d8/4\n6COoWhVuvPHAhrMiIiISu2KlwW8NtAPaALWADsC9xpgbj+ZJHwUeuLwZv/3WggkTWtCihfsaX78+\nTJ6c8eTp0909iDK7666Dd7VMTXXnbt2a8XjfvjB4cMZja9e6czP/y2rECLj33ozHdu50586Zk/H4\n+PFu2+TMWreOr+to0cKP64Covw7z3mTq1YOXX3aj+pNun06XGS1o2tSNCj7+eGhDr6O9jksuUR4+\nXUeLFn5cB8T8dRQuDPfcA2sHj2fRubcwcyacfjq0aQPffx/mdaT9Xnn4cR1pzxXr15FG13Ggnli/\njmlow/EAACAASURBVDTxfh3pryeWryO9OLiO8aNG7e8xW7RoQYuqVbn/2msPfo4IipVN9tYCj1tr\nn0t37CHgBmvt6aEp+j8CNa2136U7ZxawwFrbI4vnTL4UUu6anMJVVyXzySdw8cW5fy2Si6ZPhyZN\ngq4iblnrduB/4QWYMAH27IGWLeH2212fnu9IPk5Upn5RnlHrn3/cB3aDBrm1+VdfDb17Q61aOTxI\nefpFefpHmfpFeXpDm+w5iUDmm3TtI1S/tXYV8DOwv0U3xhQD6uLW72dpBgfuD6w1+B7QX3qBMgbq\n14exY92o/tNPuw9UDxrVPxzK1C/KM2oVLAidO8MPP7hBiO++g+RkaN4c5s3L5kHK0y/K0z/K1C/K\nU8IUKw3+B8DDxphmxpjyxpirgR7AO+nOGRY650pjzFnAOGA98F5OT5zW4GsNvkjklCwJXbu62+t9\n+SU0agQDBrgd+K+7DmbM0Fp9kWhUoIC7FebSpfDqq24Dvnr13Ad1mWc1ioiISPSJlQa/CzAJeBZY\nDAwBngP6pJ1grR0CjABewO2eXwi43Fq7K6cn3rLFrUUsWjSXKheJY8ZAgwYHRvWfegoWL3YfQp92\nmpsOvCnz1pgiErj8+aF9e/jf/+DNN9379/zz4aKLYOZMtyRHREREok9MNPjW2j+ttf+21la01ha2\n1p5mre1rrd2T6bx+1tqTrbWJ1tqm1tocb/7TEvjlFyhd2jUiEuMyb4QhUaVkSbj7breB15w5cN55\n0L8/lCnjRvU/+SSLUX1l6hflGXMSEtw+Q99+C++8A9u3Q+PGrtlf0HeyGn2f6P3pH2XqF+UpYYqJ\nBj+3tAV27IDjjw+6EomI8eODrkDCYAw0bAivvOJuUZk2qn/ppVClitsgdfPm0MnK1C/KM2bly+c2\n3ktJgQ8+gN27YfmA8dSt675Xo+8BvT/9o0z9ojwlTDGxi35uMMYkAykXXZRCwYLJTJ0adEUi8cta\n+OortwP/W2+5kfyrroI77nBTgo9oB34RyTXWur00HnnEzcipWRMefth9CKD3q4iISPa0i34u274d\njjsu6CpE4lvaqP64cW6t7xNPuKn8l1wCVavCkCHpRvVFJHDGuL00Pv/crckvWRKuvRZq1HBr9vdm\nvu+NiIiI5Im4b/B37FCDLxJNjjsOunVzm3t98YXbwbtPH7dWv3Vr+Owz7cAvEi2MgQsvdO/LOXPc\n+7RtWzjjDPeB3Z49h3wKERERiaC4b/A1gi8SnYxxG/G9+qob1R8yxN2b++KL3aj+E09oVF8kmjRs\nCNOmwbx5bj+NDh3ce3X0aNiV4/1sREREJFLiusEfg0bwvXLLLUFXIJEWyvS446B7d7cZ3+efQ926\n0Lu3Gy1s00a37YoZeo/6JZs869SB99+H1FS3Nr9TJ3dbzOeeg3/+yeMaJXx6f/pHmfpFeUqY4rrB\nn477x4YafE80aRJ0BRJpmTI1xt2e67XX3A78gwe723c1buxGCp98ErZsCahWOTS9R/1yiDxr1YK3\n34ZFi6BBA7jrLqhUCYYPh7/+yqMaJXx6f/pHmfpFeUqY4n4XfUjhww+TueKKoCsSkSNhrVurP2oU\nTJrkvm/Vyu3Af8EF7kMBEQnesmXw2GPw+uuQlAQ9e0LnzlCkSNCViYiI5B3top8HihcPugIROVLG\nQKNGB0b1H38cFixwt9erVs2NFv7xR9BVikjVqvDKK67Rb94cHngAKlRwTf+OHUFXJyIi4gc1+Gj0\nQMQXxx8P//43LFkCs2ZBcrL7vkwZuO8+WL8+6ApFpHJleOklWLECrr8e+veH8uXdr7/9FnR1IiIi\nsS2uG/yGoV/V4HtizpygK5BIO8JMjXHT88eP5//s3Xm81dP+x/HXapYGZOhGSUqiknMalFChogEJ\ndZUGVMhVaHAjEVEoScZbZmWIkqnImAjniChDlHKvkDkh1fr9sU4/p5T22ee799rftd/Px2M/nHbn\n7PPev7ev3137+/1+FsuXw9lnw223wX77QY8ebviXeKBjNCzF7HPffeGWW+Czz+CMM+Daa91zI0bA\nmjURZZTE6fgMjzoNi/qUBGX1An9owT8rVvQaQ6IybpzvBBK1CDqtXt1tqffFF24I32uvQW6uu4T/\nySdh06YIckpidIyGJaI+994bJk50H8b17w833ugu3R8yBL76KpJfIYnQ8RkedRoW9SkJyuoheztB\n3q/ksXZtDjvv7DuRFNu6dVC+vO8UEqUUdLphA8ycCTfcAG+84e4LHjwYevbUvz4pp2M0LCnqc80a\nmDABJk2CP/5wi/4hQ9wHAZJCOj7Do07Doj6DoSF7KbR5lx4dK4FQkeFJQaelSkHXrvD66+5sfv36\ncO65UKMGjBwJq1dH/itlMx2jYUlRn7vvDldfDZ9/7mZn3HOP217v3HPdc5IiOj7Do07Doj4lQVm9\nwAd3rGgbLZHs1KKF21rvk0/g9NNh/Hh3D/CZZ8L77/tOJ5Lddt0VRo2CFSvg8svh4Yehdm046yz4\n9FPf6URERDKTFvj6MEwk69Wq5e4B/uILGD0a5syBBg2gfXuYOxey9E4mkYxQuTL8+99uoX/NNTB7\ntru1plcvt+WeiIiI/CmrF/jjgHLlfKeQyAwZ4juBRC3Nne6yCwwd6qZ6338/fP01tGsHDRvCXXfB\n77+nNU54dIyGJc19VqgAF1/shvHdcAM8/zzUqwfdu8MHH6Q1Sph0fIZHnYZFfUqCsnqBvxIoW9Z3\nColMjRq+E0jUPHVapoy7ZD8vD1580U307tvXXb5/1VXw7bdeYsWfjtGweOqzfHm44AJ3mf7kybBg\ngZul0bUrLFrkJVIYdHyGR52GRX1KgrJ6ij6QV69eHkuW5PiOIyIZ7qOP3GTve+5xczt69XLT9w84\nwHcykey2fj3ce6+7fP+zz6BTJ7jsMmjSxHcyERGRv9IU/RTTGXwRSUTdunDbbbBqFVxyCTz2GBx4\nIHTuDC+/rPv0RXwpU8YN3vvoI/cB3EcfQdOmbobGa6/5TiciIpJeRV7gG2OqG2P2KfTnpsaYG40x\n/aKNlh6lS/tOICJxsvvu7uzg55/Df/7jzhi2auXOFj74oNu3W0TSr1QpOOMMWLIEpk1zQzNbtoSj\nj4aXXtKHcCIikh2SOYP/INAawBhTFXgOaApcbYwZGWG2lKuLzuAH5cMPfSeQqGVwp+XKufvyFy+G\nZ5+F3XZz9+3XqgXXXQc//OA7YQbK4D4lCRnaZ8mS0K0bvPee2wbz22+hdWs48kjtivG3MrRPKQZ1\nGhb1KQlKZoFfH3iz4OtTgfettS2A04HeEeVKi3HoDH5Qhg71nUCiFoNOjXGT9ufOdQuKY4+FSy+F\n6tVh0CA38VsKxKBPKYIM77NECTj5ZHjnHXjiCbcLRrt20Lw5PPWUFvp/keF9ShLUaVjUpyQomQV+\naWDzZlHHAE8UfP0h8I8oQqXLQHQGPyg33+w7gUQtZp02aABTp7rL9wcNgvvug9q14ZRT4PXXfafL\nADHrU3YgJn0a4wbvLVzorrYpWRI6doTGjeHxx2HTJt8JM0RM+pQiUKdhUZ+SoGQW+B8AA4wxRwDH\nAs8WPF8NiNXmUatww3kkENo+JDwx7bRqVRg92g3ku/lmePddaNHCPR59FDZu9J3Qk5j2KdsRsz43\nX20zfz7MmweVKkGXLnDIIfDQQ1l8XG4Wsz4lAeo0LOpTEpTMAn8Y0B94CZhmrX234PnO/Hnpfmxo\ngS8iqVK+PJxzjrttbtYs99+bU06BOnXgppvg5599JxTJPsZAmzbw4ovw6qtQrZq7Z79+fbj/ftiw\nwXdCERGR5BV5gW+tfQnYHdjdWtu30F/dAQyIKFfaaIEvIqlWooTbTu+ll+Ctt9w9wBde6O7THzbM\nTfsWkfRr2RLmzIE33oD994eePd32l1OnakcMERGJp2TO4GOt3Wit/X6r51ZYa7+OJlZ6DEUL/KCM\nHes7gUQtwE4bN4YHHnDD9/r1g9tvh/32cxP48/N9p0uxAPvMagH12awZPPkk5OVBw4Zw5pnuSpvb\nbnPD+bJCQH1KAXUaFvUpCUpogW+MeccYk5/II9WBo1QeLfCDsm6d7wQStYA7rV4dxo1z9+lffz0s\nWAC5uW47r9mzAx38FXCfWSnAPnNy4LHH3I4YzZrBuee6M/uTJsGvv/pOl2IB9pn11GlY1KckyNgE\n9okxxlye6Ataa68oVqI0McbkAHkDB+YxaVKO7zgikuU2bICZM+GGG9zlwgccAIMHwxlnuHv5RST9\nli6FMWPgwQdhzz3h4othwADYeWffyUREJK7y8/PJzc0FyLXWRn6CPKEFfog2L/AvvDCPG27QAl9E\nMsfrr7uF/uOPw667ukF9553npvOLSPotWwbXXAP33gu77AIXXeSOyYoVfScTEZG4SfUCP6l78ENS\ntqzvBCIiW2re3G2n98kn7t78CRNg332hb194/33f6USyT+3aMGWKOyZPPhlGjnTH5JVXwg8/+E4n\nIiLypyIv8I0xJY0xFxtj3jTGrDbGfFf4kYqQqVIF3YMflDVrfCeQqGV5p7VqwcSJbsr+6NEwdy40\naOD28p47F2J3AVaW9xmcLOyzZk03eO+zz6BHD3dWf9994dJL4dtvfacrpizsM3jqNCzqUxKUzBn8\ny4ELgYeAysB44DFgEzAqsmRpMBUoVcp3ColM3747/h6JF3UKuEuChw51k/fvvx+++cYt8hs2hLvu\nitGUb/UZlizuc5994Kab3DF59tnuKpuaNd22l1/Haj+hQrK4z2Cp07CoT0lQMgv804GzrbU3ABuA\nadbas4ArgcOiDJdqo3D7U0sgRo3ynUCipk63ULq0u2Q/Lw9efNFtr9e3rzuDeNVVMfhwX32GRX1S\ntarbBWPFChg4EG65xS30Bw+G//3Pd7oiUp/hUadhUZ+SoGSWt1WBxQVfr8WdxQd4EugQRah0eQco\nWdJ3ColMjoYlBkedbpMx0KoVPPEEfPghnHgiXH011KjhBvJ99JHvhNuhPsOiPv/fHnu4y/U//xyG\nDHFX1tSq5QbxrVzpO12C1Gd41GlY1KckKJkF/hfAPwq+/hRoW/B1EyAuF4r+Py3wRSTO6tZ19wSv\nWgWXXOL28D7wQOjcGV56KYb36YvE2G67wRVXuIX+pZfC9OluQF+/fu5yfhERkVRLZoH/OHB0wdeT\ngNHGmE+Ae3G3tceKFvgiEoLdd4fLLnMLiylT3BCw1q2hcWN44AH44w/fCUWyR+XKboG/YoW7fWbm\nTKhTB/r0cZP4RUREUqXIC3xr7XBr7ZiCrx8CjgRuBbpaa4dHnC+l+qJ78IMyZYrvBBI1dVpk5cq5\n+/IXL4Znn3UL/x493P3648Z53tJLfYZFfe5QxYpuQOaKFe5e/Tlz3BU2p58OS5b4TrcV9RkedRoW\n9SkJKvby1lr7urV2vLV2dhSB0ikHncEPSn6+7wQSNXWaNGPcpP05c+C996BtW3eGf5994IILPF0u\nrD7Doj4TVr48DBrkrqy56SZ49VWoXx9OOQXefdd3ugLqMzzqNCzqUxJkbBI3aBpjqgEtgT3Z6kMC\na+1N0URLLWNMDpB3yy15nHOOhlaISPhWr4bJk+HWW+H77+Gkk+Cii6B5c9/JRLLL+vVwzz1uMN/y\n5XDCCe4DuNxc38lERCTV8vPzyXX/wc+11kb+yU2Rz+AbY3oDy4EpwMXA4EKPQVGGSwddoi8i2aJq\nVRg92k31njzZXcbfooVb4D/6KGzc6DuhSHYoUwbOPtvteHH33e5y/caN4fjj4fXXfacTEZE4S2Z5\nOxq3531la21Na+1+hR61Is6XcrpEX0SyTfnyMGAALF3qttorW9ZdKlynDkycCD//7DuhSHYoXRp6\n9XLH4gMPuCGZLVrAMcfAyy/7TiciInGUzAK/PDDdWrsp6jA+aIEvItmqRAno1Mltp/f22+5M/kUX\nQfXqbjDYqlW+E4pkh5Il4Z//dFfVPPIIfPMNtGoFRx0Fzz+v7S5FRCRxySzwpwCnRB3Eh1logR+U\nzp19J5CoqdO0yc11ZxCXL3d7dt9xB9Sq5aZ9v/NORL9EfYZFfUauRAno2tUdczNnwi+/wLHHurP6\nTz+d4oW++gyPOg2L+pQEJbPAvwQ4yhjzkjFmkjFmfOFH1AFT6Wa0wA/KwIG+E0jU1GnaVa/uttNb\ntcpt67VgAeTkuDP9b71VzBdXn2FRnylTooQbvPfWW25hbwx06ABNmsCsWSla6KvP8KjTsKhPSVCy\nC/x2wF5AA+DQQo9G0UVLvefQAj8obdv6TiBRU6feVKzottP75BO47z73z6ZN3RCwhQuTfFH1GRb1\nmXLGwHHHwWuvuUv1K1SAE0+ERo3cpfyborxZUn2GR52GRX1KgpJZ4F8E9LXW1rPWtrLWti70aBN1\nwFTTFH0Rke0rVQp69IAPPvjzEv7DDoN27dzZfRFJPWPg6KPdvIyXX4Y994RTT4X69eHBB7UDhoiI\n/CmZ5e3vwGtRB/FFZ/BFRHZs8xCw99+H6dPhv/+Fww939wfPn+87nUj2OPJIeO459wHbfvu5ORn1\n6rnt9v74w3c6ERHxLZkF/kTg/KiD+HACWuAHZeZM3wkkauo045QsCaedBu+95y4R/uorOOIIaNMm\ngW291GdY1KdXzZvDU0+5HTAOOgj69IEDDnADMtevT+IF1Wd41GlY1KckKJkFflOglzHmM2PMbGPM\nY4UfUQdMpe5ogR+UadN8J5CoqdOMtXna96JF8Nhj8P33f27r9cIL2xkCpj7Doj4zQm6u+9/9777r\nhvANGAD77w+TJ8NvvxXhhdRneNRpWNSnJMjYIo5iNcbc9Xd/b63tU6xEaWKMyQHynnwyjw4dcnzH\nERGJNWvhiSfgyishPx9atoTLL3f3DRvjO51I9liyBMaMcWuBvfaCIUOgf38oX953MhERAcjPzyc3\nNxcg11qbH/XrF/kMvrW2z989og6YajqDLyJSfMa4bb3efhtmz3ZnDo891t2nP2dOivfvFpH/d9BB\ncP/98OGHbhjmkCFQsyaMHQs//+w7nYiIpFrWz5DXAl9EJDrGQMeO8Oabbv/uTZugfXt3v/DTT2uh\nL5IuderAXXe5LS5POgkuu8wt9MeMgXXrfKcTEZFUSWiBb4zJN8bsWvD1OwV/3uYjtXGjp23yRESi\nt3n/7tdfd2fwS5aEDh2gaVN3hl8LfZH02G8/uP12+PRT6N4dRo2CunXh3nvdB3AiIhKWRJe3s3Db\n4wHMLPjz9h6xMRW3x7MEok/s7hCRHVGnsWcMtG3rttL7b9s+lCsHnTtD48Ywa5YW+rGm4zNWqleH\nm2+GpUvhsMOgVy83oO+FFwq+QX2GR52GRX1KghJa4Ftrr7DWriv09XYfqY0brblo+FNQ2rb1nUCi\npk6DYQxU692WV15xC4qKFeHEE+HQQ90Ufp1JjCEdn7G0//5ui8vXXoNy5dwgzI4d4YuD1GdwdIyG\nRX1Kgoo8Rf//f9CYMsCebPUhgbV2ZQS5Um7zFP1XX82jZUtN0RcRSbeXX3ZT9194ARo0cPcIn3yy\nbp0SSRdr4dFHYdgw+PxzOPtsuOIKN31fRERSI+Om6BtjDjDGvAr8CnwOLC94rCj4Z6zoDL6IiB9H\nHQXz5sGrr7oFxamnQsOG8NBDsHGj73Qi4TMGTjnFXbZ/3XXu2KtdG66+WoP4RETiKpnzJHcBm4CO\nQC6QU/A4tOCfIiIiCWvZEp57zl0yvM8+0K2bO6P/4INa6IukQ9mycOGFbhDf5rP4GsQnIhJPySzw\nGwH9rbXPWGsXWWvfLfyIOmAqHY7O4Adl/nzfCSRq6jQsO+izRQt49ll44w03+fv0092e3vfdBxs2\npCmjJE7HZ1jmz2e33WD8+L8ZxCfxomM0LOpTEpTMAn8JsHvUQXwYihb4QRk3zncCiZo6DUuCfTZr\nBk89BW++6c4innEG1KsH99yjhX5G0fEZlkJ9bm8Q39KlHvNJ0ekYDYv6lAQls8AfBowzxrQyxlQx\nxlQq/Ig6YCp1Q8OcgjJ9uu8EEjV1GpYi9tmkCTzxBOTlwcEHQ+/ebsE/dSr88UdqIkoR6PgMyzb6\nbNECFiyAhx+GJUvcrTPnnANffeUhnxSdjtGwqE9JUDLL2+eBw4B5wNfA9wWPHwr+GRu/ojP4QSlf\n3ncCiZo6DUuSfebkwMyZ8M470KgRnHkmHHAA3HknrF8fcUZJnI7PsGynz8KD+MaNc2sMDeKLCR2j\nYVGfkqBkFvitCx5ttnpsfk5ERCRyjRrBjBnw3nvu7H7//lCnDtx+O/z+u+90ImHTID4RkXgo8gLf\nWvvy9h7AtynImFI6gy8iEi8NGrhLhhcvdpcQn3OOW+jfcgv89pvvdCJh2zyIb8mSPwfxNW6sQXwi\nIpmi2HegG2MqGmP6GWPeBGI1RX8cWuAHZcgQ3wkkauo0LBH3efDBMG0afPABHHEEnH++u3R40iQt\n9NNCx2dYithn7dp/DuIrW9YN4uvUSYP4MoqO0bCoT0lQ0gt8Y8yRxph7gC+Bi4EXcPfmx8ZKtMAP\nSo0avhNI1NRpWFLUZ7168MAD7oximzYwaBDUqgUTJ8Kvv6bkVwro+AxNkn1uHsT30EPuwzYN4ssg\nOkbDoj4lQcZam/g3G1MV6A2cCVQCHgYGAIdYa5ekImCqGGNygLy8vDxycnJ8xxERkYh88gmMGQP3\n3Qe77w5Dh7r79Xfe2XcykbD9/jtMngyjR7stLYcPh8GDNRtMRKSw/Px8cnNzAXKttflRv37CZ/CN\nMbOBj4CGwCCgmrX2/KgDiYiIFEedOnDXXfDRR9ChAwwb5s7oX3cdrF3rO51IuAoP4jvrLA3iExHx\noSiX6B8HTAEut9Y+Za3dmKJMIiIixbb//jBlCnz8MZxwAvz737DffnDttfDzz77TiYRrt91gwgQN\n4hMR8aEoC/yWQEUgzxiz0Bgz0Bize4pypUVd3wEkWh9+6DuBRE2dhsVTn/vtB3fcAcuWQdeuMHIk\n1KzpLuP/6ScvkcKg4zMsKehTg/g80zEaFvUpCUp4gW+tfcNaezbwD+B2oBvwv4LXONYYUzE1EVNn\nnO8AEq2hQ30nkKip07B47nPffeHWW93lw926ucuHa9Z09wv/+KPXaPGk4zMsKexTg/g80TEaFvUp\nCSrSkL2//LAxdXED93oCuwDPWWs7R5QtpYwxOdUhb6aG7IVj5UpNGA2NOg1LhvX53//C2LHu7H65\ncm76/qBBsMsuvpPFRIb1KcWUpj5//x1uvhmuugo2bnSD+AYN0iC+lNAxGhb1GYyMGbK3Ldbaj6y1\nQ4F9gO7RREqfVb4DSLT0H73wqNOwZFife+8NN90En30Gffq4xf6++7pL+L/7zne6GMiwPqWY0tRn\n2bJw0UXulpkzz4RRozSIL2V0jIZFfUqCirXA38xau9FaOzMuZ+9FREQ2q1bNDQRbvtxN/r7+enfp\n/ogR8O23vtOJhKlKlW0P4nvxRd/JRETiLZIFvoiISNxVrQo33AArVsCAAXDjjW6hP3w4fPON73Qi\nYdo8iG/+fChTBtq00SA+EZHiyOoFvkZVBGbsWN8JJGrqNCwx6XPPPWHcOLfQHzgQJk92C/0hQ+Dr\nr32nyyAx6VMS5LnPww+H11//6yA+HXPFoGM0LOpTEpTVC3zNcwnMunW+E0jU1GlYYtbnHnvANde4\nhf7gwXD77W6hf9FFsHq173QZIGZ9yg5kQJ/GwKmnurP3Y8fC9OnuDP+YMRkRL370f7SwqE9JUEJT\n9I0x+cDR1trvjTEjgeuttWn9t8wYUw0YCxyHW5t/AvQpPHnQGHMlcBZuov9rwDnW2mXbeb0cIC9P\nU/RFRCQB333nLtufOBHWr4f+/d2uRdWq+U4mEqZvv3XT9idPhr32gquvhh49oERWn54SkbjLlCn6\n9YCdC76+HKgQdZC/Y4zZvGD/HWhXkOci4PtC3zMMGAj0A5oCvwBzjDFl0plVRETCtNtucOWV8Pnn\n7r78e+6BWrXgX/9yW+6JSLQKD+Jr1kyD+EREEpHoGfzXgbXAfNwC//qCP/+FtfbKKAMW/P5rgebW\n2qP+5nv+B1xnrZ1Q8OdKwFdAL2vtw9v4fp3BFxGRpP34I0yaBOPHwy+/uAn8w4dD9eq+k4mE6bXX\n3C0yCxdCx45uVka9er5TiYgUTaacwe8NfAt0BCzuMvmTtvE4MeqABToBbxtjHjbGfGWMyTfGnLX5\nL40x+wFVgXmbn7PW/gQsBJpv70WrpCiseLJmje8EEjV1GpbA+qxcGS691N2jP2qUGw62//5uAv/n\nn/tOlwaB9Zn1YtCnBvEVUQw6lSJQn5KghBb41tqPrLXdrLVNAIO7H//QbTxSdSq8FnAO8BHQFrgV\nuMkY07Pg76viPnj4aquf+6rg77ZpavQ5xae+fX0nkKip07AE2melSnDJJbB8OYweDTNmQJ060K+f\ney5YgfaZtWLS598N4vv1V9/pMkxMOpUEqU9JUJHHlFhrS1hr0/1ZaQkgz1p7mbX2XWvtncCdwIDi\nvOgU4N/HH0/nzp23eExr3hxmztzym+fOhc6d//oi550HU6Zs+Vx+vvverT9pu/zyv25xsXKl+94P\nP9zy+UmT3J5Mha1b5753/vwtn582Dfr0+Wu2007LrvcxalQY7wP0Pjbr3z+M9xFKH8V9H6NGhfE+\nYJvvo2JFGJZ/GqsmzWTMGJg1Cw44AMa3n8svR8fnfQCJ9TFqVBjvY7Nsfx+b+4zJ+yhb1l2uv2wZ\nPHLQ5ay9bCwHHAD33QebNsXnfWwh6n+vNnca9/exWba/j819xv19FJYF72PaHXdsudasW5fhXbv+\n9TUilNA9+H/5IWP2Bwbhht0BLAEmWms/jTBb4d+3Aphrre1X6LkBwAhrbfWCS/Q/BRpZa98r9D0v\nAe9Yawdv4zV1D76IiKTMunVua71x4+Cbb9z07xEj3Nl9EYnWsmVuBsaMGXDooXDDDdC6te9UzrTK\npwAAIABJREFUIiJ/lSn34P8/Y0w73IK+KfBewaMZ8IEx5tho4/2/14C6Wz1XF/gcwFq7HFgNHF0o\nZ6WCXAtSlElERGS7ypeHwYPhs8/cYmPuXDcQ7Nxzdc+wSNRq14ZHH3Un58qUgTZtoFMndym/iEg2\nSWYn0WuBCdbaZtbaCwsezYAbcfvUp8IE4DBjzCXGmP2NMf/E7Xd/c6HvuRG41BjTyRjTALgX+AKY\nlaJMIiIiO7TTTnDBBW6hP3asuxpw8z3D69b5TicSls2D+KZPh/ffd4P49KGaiGSTZBb49XC3r29t\nKnBQ8eJsm7X2bdyU/u7AYmAEcIG1dnqh7xkHTAJux03P3wk4zlq7fnuvq1EVgdn63heJP3Ualizv\ns1y5P+8ZPvNMdztl3bpw770F9wzHTZb3GZyA+jTG3T774Yd//VAtqwbxBdSpoD4lYcks8L8BGm3j\n+UZAyj4ftdY+ba1taK0tb6092Fr7lyH41tpR1tpqBd/Tzlq77O9eU3feByY/8ltYxDd1Ghb1CUCV\nKjBhgrt0uHlz6NULcnPhhRd8Jysi9RmWAPssPIhv84dqWwziC12AnWY19SkJKvKQPWPMSGAw7lL9\nzfe3Hw4MA8Zba0dHmjBFNGRPREQywYIFcPHF7rLiDh3cUL6DUnI9nEh20yA+EckEGTdkDxgNXAmc\nD7xc8BgIjAKuiiyZiIhIFmjRAl57DR55xJ3Vb9AABgyA1at9JxMJy7YG8XXurEF8IhKWIi/wrTPB\nWrsPUBmobK3dx1o70Saz556IiEiWMwa6doUlS9xZxYcfdtvpXXWVBvGJRK3wIL7FizWIT0TCkswZ\n/P9nrf3ZWvtzVGFERESyWdmyMGgQfPop9O8Po0e7hf7dd8PGjb7TiYRje4P4rrkmywbxiUhwirXA\njzvtnxeYzp19J5CoqdOwqM+E7borXH+9u3T4iCOgTx83iO/5530nK0R9hiVL+yw8iK9vXxg50u1u\nEcQgviztNFjqUxKU1Qv8m30HkGgNHOg7gURNnYZFfRZZrVruMuLXX4cKFeDYY+H4493+3t6pz7Bk\neZ9VqsCNN7rbZJo2hTPOgCZN4MUXfScrhizvNDjqUxKU1Qv853wHkGi1bes7gURNnYZFfSbtsMPg\n1Vfd9O9PPoFDDoGzz4Yvv/QYSn2GRX0C7paYzYP4SpeO+SA+dRoW9SkJKtIC3xhT2hgzzxhTJ1WB\nRERE5K+MgS5d4IMPYMIEeOwxtxi54gr45Rff6UTCokF8IhJXRVrgW2v/ABqmKIuIiIjsQJky8K9/\nuUF8554LY8a4hf6UKRrEJxKlwoP4rr0WHnxQg/hEJPMlc4n+/cCZUQfx4QTfASRaM2f6TiBRU6dh\nUZ+R2mUXGDcOPvoIWrWCs86CQw+FOXPSFEB9hkV9blfZsnDxxe5DtVgN4lOnYVGfkqBkFvilgHOM\nMW8bY243xowv/Ig6YCp19x1AojVtmu8EEjV1Ghb1mRI1a7oziwsXukV/+/bQrh28916Kf7H6DIv6\n3KHYDeJTp2FRn5IgY60t2g8Y83f/GbPW2jbFi5QexpgcIC8vL4+cnBzfcURERIrNWpg1C4YOddt+\n9ekDo0dDtWq+k4mEZ/58t8Xem29Cp07uipoDD/SdSkQyXX5+Prm5uQC51tr8qF+/yGfwrbWt/+YR\ni8W9iIhIiIyBE090g/huuskt9uvUgcsvh7VrfacTCUvLlvDGG38O4qtfH847T4P4RMSvpLfJM8bU\nNsa0M8bsVPBnE10sERERSVbp0m7L5E8/hfPPh7Fj3UL/zjthwwbf6UTCsfUgvgce0CA+EfGryAt8\nY0wVY8w84GPgaeAfBX81xRhzQ5ThREREJHmVK7tFx0cfwdFHQ79+0KgRPPOMu5xfRKIR20F8IhKc\nZM7gTwD+AGoA6wo9/xDQPopQ6TLVdwCJVp8+vhNI1NRpWNSnN/vuC/ffD2+9BbvvDscfD23bwqJF\nxXhR9RkW9RmJwoP4mjT5cxDfSy95CKNOw6I+JUHJLPDbAsOstV9s9fwnwL7Fj5Q+c30HkGi1bes7\ngURNnYZFfXrXuLGb+D1rFqxaBTk57n8z/ve/SbyY+gyL+oxUnTowYwa8+iqUKgWtW0Pnzu5S/rRR\np2FRn5KgZKbo/wzkWGs/Kfj6EGvtZ8aYxsAca22VVASNmqboi4hINvvjD3dP/uWXwy+/uGngQ4dC\nxYq+k4mExVp4+GEYPtx9sNa/vzvu9tzTdzIR8SHjpugDrwJnFPqzNcaUAIYCmboTqIiIiBRSujSc\ne67bTm/QILj+ejcc7PbbNYhPJEqbB/EtXapBfCKSesks8IcC/YwxzwBlgHHA+8CRwLAIs4mIiEiK\nVa4MY8bAxx9D+/YwYAA0bAhPPaVBfCJRKlfuz0F8ffr8OYjv/vs1iE9EolPkBb619n3gAGA+MAvY\nGXgMONRa+2m08VLrcN8BJFrz5/tOIFFTp2FRnxmtenW45x7Iy4OqVaFjRzjmGHjnne38gPoMi/pM\nmypVYOLEPwfx9eyZokF86jQs6lMSlMwZfKy1P1prr7bWnmqtPd5ae6m19suow6XaUN8BJFrjxvlO\nIFFTp2FRn7GQkwPz5sGTT8KXX0JuLvTq5e4d3oL6DIv6TLuUD+JTp2FRn5KgIg/ZAzDG7AqcCdQr\neGoJcJe19rsIs6WUMSZnJ8ibryF74Vi3DsqX951CoqROw6I+Y2fDBpgyxV1K/NNPcOGFMGwYVKqE\n+gyN+vRq06Y/B/F98UVEg/jUaVjUZzAybsieMeZIYAXwL2DXgse/gOUFfxcbmmsSGP1HLzzqNCzq\nM3ZKlXILjWXL3L3DEya44WC33gobyqjPoOj49KpECejWzZ29j2wQnzoNi/qUBCVzif5k4CFgP2tt\nF2ttF6AWML3g70RERCQgFSvC6NFuEF+HDnDeedCgAcyerUF8IlHSID4RKa5kFvi1gRustRs3P1Hw\n9fiCvxMREZEA7bMP3HUX5OfD3nu7+4XbtHGD+UQkOmkbxCciwUlmgZ/Pn/feF1YPeLd4cdJLoyoC\nM2SI7wQSNXUaFvUZjEaN4LlGQ3j6afj6a2jc2C1AVq70nUySpuMzI20exPfKK1CypBvEd8IJCQ7i\nU6dhUZ+SoIQW+MaYhpsfwE3ARGPMxcaYlgWPi4EJBY/Y0P8OCUyNGr4TSNTUaVjUZ1DMvjU47jh4\n91244w547jk44AC45BL48Uff6aTIdHxmtCOOgDfegGnT3DFXv767Vebrr//mh9RpWNSnJCihKfrG\nmE2ABcwOvtVaa0tGESzVjDE5QF6epuiLiIgU29q1cN117rHzzjBqFPTrB6VL+04mEpbffoObb4ar\nrgJjYNIkOP1097WIZL5MmaK/H26Q3n47eNSKOqCIiIhkvgoV4Ior4JNP3L3555/vzjLOmqVBfCJR\n2jyIb9kyOP54d3vMSSfBV1/5TiYimSChBb619vNEH6kOLCIiIplr771hyhRYtAj23RdOPBFatYK3\n3vKdTCQsu+/uttObMQMWLICDD4aHHvKdSkR8S2bIHsaYasaYU40xA40x/yr8iDpgKtX1HUCildDE\nGYkVdRoW9RmWHfTZsCHMnQvPPgvffQdNm8I//wkrVqQnnhSRjs/Y6tIFPvjADeDr1g1OPRW++QZ1\nGhr1KQkq8gLfGNMbWA5MAS4GBhd6DIoyXKppin5ghg71nUCipk7Doj7DkmCf7dq5s/n/+Y/b4uvA\nA2HYMPjhh9TGkyLS8Rlre+wBjzwC06fDvHnubP6XPdVpUHSMSoISGrK3xQ8Yswq4DbjGWrspJanS\nwBiTUx3yZmrIXjhWrtSE0dCo07Coz7Ak0efatXDDDTBuHOy0E1x+OfTvD2XKpCijJE7HZzBWr4YB\nAyB/1kqO+GcNJk2C3XbznUqKTcdoMDJlyF5h5YHpcV7cb7bKdwCJlv6jFx51Ghb1GZYk+qxQwS3q\nly1zQ8EGDXKD+B5/XIP4vNPxGYyqVd0xNea+Gjz9tDub/+STvlNJsekYlQQls8CfApwSdRARERHJ\nDv/4B9x5p7t0f//93T3ERx4JCxf6TiYSBmOgRw93b35ODnTqBL1769YYkWyQzAL/EuAoY8xLxphJ\nxpjxhR9RBxQREZEwNWgAzzwDc+bATz/BYYdB9+6wfLnvZCJhqFbNnb2fOtWd1a9f3w2+FJFwJbvA\nbwfsBTQADi30aBRdtNTTqIrAjB3rO4FETZ2GRX2GJcI+27aF/Hy3CHnlFTeI7+KL4fvvI/sVsiM6\nPsNT0Kkx0KcPLF4MBx0Exx0H/fq5D9UkRnSMSoKSWeBfBPS11taz1ray1rYu9GgTdcBUKu87gERr\n3TrfCSRq6jQs6jMsEfdZsqRbhHz8MVx6Kdx2G9SuDffeq/vz00LHZ3i26rRGDXe1zO23w7Rp7gqa\nefM8ZZOi0zEqCUpmiv5q4Ahr7SepiZQexpgcIC9PU/RFREQyzurV7iz+Aw+4M/y33w41a/pOJRKG\nFSugb1948UU45xy3s0WFCr5TiWSHTJyiPxE4P+ogIiIiIptVrQr33w9PPw1Ll7p7hydOhI0bfScT\nib+aNeH552HSJLjnHmjYEF5+2XcqEYlCMgv8pkAvY8xnxpjZxpjHCj+iDigiIiLZ67jj3CTwPn1g\n8GA4/HD3ZxEpnhIlYOBAePdd2HtvaNXKbV2pK8FF4i2ZBf4PwGPAy8Aa4MetHrFRxXcAidaaNb4T\nSNTUaVjUZ1jS2GfFiu5M4/z58OOPcOihMGoU/P572iKET8dneBLstHZteOklGD/e3QrTqBEsWJDa\naJIEHaOSoCIv8K21ff7ukYqQqTLVdwCJVt++vhNI1NRpWNRnWDz02aIFLFoEw4fD1Ve7/b3feCPt\nMcKk4zM8Rei0ZEl3hcyiRVClCrRsCUOGwG+/pTCfFI2OUUlQMmfwgzHKdwCJ1qhRvhNI1NRpWNRn\nWDz1WbYsXHml21Zv553dov+CC2DtWi9xwqHjMzxJdFq3rrtS5tpr4aab3NUyb74ZfTRJgo5RSVAy\nU/SXA9v9IWttreKGSgdN0RcREYm3jRvdImTECNhzT3d5cbt2vlOJhGHJEujVy32YNnw4jBzpPmAT\nkeLJxCn6N+Im6W9+3AK8DlQG7ogumoiIiMj2bb6s+P33oU4daN8ezjgDvv3WdzKR+DvoIHj9dXfF\nzHXXQePGbrEvIpktmXvwJ271uN5aezowEqgbfUQRERGR7atVC+bOhalTYfZsqFcPHnoIiniRoohs\npVQpd4XM22+7r5s1c1eKr1/vO5mIbE+U9+A/A5wc4eulnEZVBGbKFN8JJGrqNCzqMywZ1qcxbiu9\npUvhqKOgWzc44QT44gvfyWIiw/qUCETYacOGsHChW+xffbVb6L/3XmQvL4nQMSoJinKB3xX4LsLX\nSzndeR8YXTcWHnUaFvUZlgzts2pVeOQReOwxd9bxoIPgtttg0ybfyTJchvYpxRBxp2XKuLP3CxfC\nhg3ukv2rr3ZfSxroGJUEJTNk7x22HLJngKrAHsC51tpY3IevIXsiIiJh++EHt9XXf/4DRx4Jd94J\nBxzgO5VI/P3+O1xxBYwd67arvOce92GaiOxYJg7ZmwnMKvR4DLgCqB+Xxb2IiIiEb5dd3KL+hRfg\nv/91lxlfcw388YfvZCLxVrYsjBnjhvCtXeu20xs3zu1sISJ+lSrqD1hrr0hFEBEREZFUaN3a3S88\nahRceik8/LA7q+9OoIhIspo2dVeOjxzpttJ7/HG4+26oq7HbIt5EeQ++iIiISEYqX96dYXzzTTdd\nv1kzGDoU1q3znUwk3nbayW2jN3++26KyUSOYMEFzL0R8SXiBb4zZZIzZuINHrMZszPIdQKLVubPv\nBBI1dRoW9RmWmPaZmwtvvQWjR8NNN7nL9l980XeqDBDTPuVvpLnTFi1g0SLo3x8uvBBatYJPP01r\nhLDpGJUEFeUM/klAl+08rgN+B2K1wL/ZdwCJ1sCBvhNI1NRpWNRnWGLcZ+nScMkl8O67UK0atGkD\n/fq5oXxZK8Z9ynZ46LR8ebjxRnjpJbdFZcOGMHmyzuZHQseoJKjIU/S3+GFj6gLXAp2AB4CR1trP\nI8qWUpqiLyIiIps2wR13uMv1K1SAW26BE0/0nUok/tauhWHD3DHVpo3bxr1mTd+pRPzLxCn6GGOq\nGWPuBBbjBvU1stb2isviXkRERASgRAkYMACWLHGX7590EpxyCqxe7TuZSLxVqODO3j/3HCxbBg0a\nuA/TinFuUUQSUKQFvjGmsjFmLLAMOBg42lrbyVr7fkrSiYiIiKTBPvvAE0/AtGnw8stuT++77tJi\nRKS4jjkGFi+Gbt3c/fnt28OqVb5TiYSrKEP2hgKfAR2B7tbaFtbaV1OWLA1O8B1AojVzpu8EEjV1\nGhb1GZYA+zTGLUKWLoWOHaFvX2jbFj77zHeyNAiwz6yXQZ1WqgR33gnPPAMffAD167vt9PQBWhFk\nUJ+S2YpyBv9aoBzu7H0vY8xj23qkJmZqdPcdQKI1bZrvBBI1dRoW9RmWgPusUgXuvdctRj7+2F1a\nPH48bNzoO1kKBdxn1srATtu3h/ffhy5doE8f6NQJ/vc/36liIgP7lMyU8JA9Y8zdwA6/2Vrbp5iZ\n0kJD9kRERGRH1q6FESNg0iRo3NgNCmvQwHcqkfibPdvtXvHbb+74Ov10dxWNSOhSPWSvVKLfaK3t\nHfUvFxEREclkFSrAxInu0v2zzoKcHBg+HC69FMqW9Z1OJL46dXKX659/PvTsCTNmwG23wV57+U4m\nEm9JTdEXERERySbNm0N+vjubP3YsHHooLFjgO5VIvO22GzzwgFvcv/YaHHwwPPyw71Qi8aYFvoiI\niEgCypaFUaPcQr9SJWjZ0p19/Pln38lE4q1LF3c2v3VrOO00OPVUWLPGdyqReMrqBf5U3wEkWn1i\nMf5BikKdhkV9hiWL+6xf351tHD8epk51Zx2fecZ3qmLK4j6DFbNO99gDHnkEpk+HefPccfX4475T\nZZCY9Sn+ZPUCf67vABKttm19J5CoqdOwqM+wZHmfJUvCoEFuIviBB8Lxx0OPHjE+65jlfQYppp2e\ndpo7m9+8uTuz36MHfPed71QZIKZ9SvolPEU/NJqiLyIiIlGw1m2rN3iwW/hPnAjdu2siuEhxWAsP\nPggDB0K5cnDnndCxo+9UIsWX6in6WX0GX0RERKS4jIFevWDpUmjTxm331bEjrFrlO5lIfBnjjqUP\nPnC7V3Tq5K5S/+EH38lEMpsW+CIiIiIR2GsveOghmDULFi2Cgw6CyZNh0ybfyUTiq1o1ePJJN+/i\nscegQQOYM8d3KpHMldUL/MN9B5BozZ/vO4FETZ2GRX2GRX1uV+fOsGSJO/s4cCAceSR8+KHvVDug\nPsMTUKfGuLP377/vPjhr3x769cuyHSwC6lNSK6sX+EN9B5BojRvnO4FETZ2GRX2GRX3+rcqV4bbb\n4KWX4Ouv4ZBD4KqrYP1638m2Q32GJ8BOq1eHZ5+F22+HadPc2fx583ynSpMA+5TUyOoheztB3nwN\n2QvHunVQvrzvFBIldRoW9RkW9ZmwX3+FK6+E665zZx+nTIEmTXyn2or6DE/gna5YAX37wosvwrnn\nwtixUKGC71QpFHif2URD9lLoV98BJFr6j1541GlY1GdY1GfCdtoJrrkG3noLSpWCww6Diy6CX37x\nnawQ9RmewDutWROefx5uvhnuvttdJfPKK75TpVDgfUp0snqBLyIiIpIuhx4Kb74JY8bALbdk2eXF\nIilQogScdx689x7svTe0agWDBrmT3SLZSgt8ERERkTQpVQqGDXMLkho14Jhj3GXG33/vO5lIfO2/\nv5t3MX68uz+/USNYsMB3KhE/snqBr1EVgRkyxHcCiZo6DYv6DIv6LJY6deCFF9xiZMYMqFfP/dMb\n9RmeLOu0RAl39n7RIqhSBY44AoYOhd9+850sIlnWpyQvqxf4K30HkGjVqOE7gURNnYZFfYZFfRZb\niRJuq68lS9x9+V27Qpcu8OWXHsKoz/Bkaad167od5a65BiZOhJwcN/8i9rK0Tym6rJ6iD+TlaYq+\niIiIeGYtPPooDBzo9vyeMQMOP9x3KpF4W7IEevWCd95xt8aMHAlly/pOJdlOU/RFREREAmcMnHIK\nLF7szkC2bu0u3xeR5B10ELz+OlxxhdumskkTt9gXCVksF/jGmOHGmE3GmPFbPX+lMeZ/xph1xpjn\njDG1fWUUERERKao993Rbf/XrBwMGQP/+sH6971Qi8VWqFIwYAW+/DSVLQtOmbsH/xx++k4mkRuwW\n+MaYJkA/4N2tnh8GDCz4u6bAL8AcY0yZ7b1W3RTmFA8+/NB3AomaOg2L+gyL+kyZ0qXd3t7/+Y/b\n37t1a1i9OsW/VH2GR51uoWFDt03liBFw1VXQrJm7YiY21KckKFYLfGNMBeB+4Czgh63++gJgtLX2\nSWvt+8AZQDXgxO29nqboB2boUN8JJGrqNCzqMyzqM+XOPNNt/bV8OTRu7BYnKaM+w6NO/6J0aRg1\nChYudGfwc3NhzBjYsMF3sgSoT0lQrBb4wGRgtrX2hcJPGmP2A6oC8zY/Z639CVgINN/eiw1MUUjx\n5OabfSeQqKnTsKjPsKjPtGje3F1aXL06HHkk3HNPin6R+gyPOt2unBx3XA0ZApdd5o6zjD9Brj4l\nQbFZ4BtjugGNgEu28ddVAQt8tdXzXxX83TatiiydZARtHxIedRoW9RkW9Zk21aq5M/mnnw69e8MF\nF6Tg/mH1GR51+rfKloWrr3ZD+NaudYv8N97wnepvqE9JUCwW+MaYfYAbgdOttZH9v7TmwL+PP57O\nnTtv8ZjWvDnMnLnlN8+dC507//VFzjsPpkzZ8rn8fPe9a9Zs+fzll8PYsVs+t3Kl+96tPzacNMl9\nrFjYunXue+fP3/L5adOgT5+/ZjvtNL0PvQ+9D70PvQ+9D72PAN5H2Wdm8p//wOTJcMstMKLJXH5v\nH7/3EUofeh/hvI+mpfJ5r2ZnWh64hmOOgXmbrweO2fsIpY/Q3se0O+7Ycq1Zty7Du3b962tEyFhr\nU/oLomCMOQF4DNgImIKnS+LO2m8EDgSWAY2ste8V+rmXgHestYO38Zo5QF5eXh45OTmpfQMiIiIi\nEXnlFejaFcqXd//7s1Ej34lE4m/dOjj5ZHjhBXjkkW2v40SikJ+fT25uLkCutTY/6tePxRl84Hmg\nAe4S/UMKHm/jBu4dYq39DFgNHL35B4wxlYBmwILtvahGVQRm60/1JP7UaVjUZ1jUpzdHHunuH65S\nBVq0gOnTI3hR9RkedVok5cvDrFlwwgnQpQs8+KDvRFtRn5KgWCzwrbW/WGuXFH7gtsH71lq7tODb\nbgQuNcZ0MsY0AO4FvgBmbe91y6c8uaTVunW+E0jU1GlY1GdY1KdXNWq4K027dIHu3WHYMNi4sRgv\nqD7Do06LrEwZd8V2r17QowfcdpvvRIWoT0lQLC7R3xZjzAvAImvthYWeGwX0A3YBXgXOs9Yu287P\n6xJ9ERERiTVrYcIEd7vpsce6xcmuu/pOJRJvmzbBhRfCxIlw7bXuAzSRqKT6Ev1SUb9gulhr22zj\nuVHAqLSHEREREfHAGLcQadjQzYRq0sRdZnzwwb6TicRXiRLug7PKlWH4cPjxRzdx35gd/6yIb7G4\nRF9EREREtu+YY+Ctt9x9xM2aweOP+04kEm/GwBVXwA03wDXXwPnnuzP7Ipkuqxf4VXwHkGhtvZ2G\nxJ86DYv6DIv6zDi1asGCBXDcce7e/MsvL8KCRH2GR51G4sIL4c473faUvXvDhg2egqhPSVBWL/Cn\n+g4g0erb13cCiZo6DYv6DIv6zEgVKsDDD7vLiUePhhNPhJ9+SuAH1Wd41GlkzjrLzbeYNg1OOQV+\n/91DCPUpCcrqBf4o3wEkWqNG+U4gUVOnYVGfYVGfGcsY+Pe/YfZsePlld8n+Rx/t4IfUZ3jUaaRO\nOw1mzoRnn4WOHeGXX9IcQH1KgrJ6gf+O7wASLe2GEB51Ghb1GRb1mfE6dIA333RfN20KTz31N9+s\nPsOjTiPXoYNb4L/xhtu14ocf0vjL1ackKKsX+CIiIiIhq1sXFi6Eo46CTp1gzBi3tZ6IJOeoo+CF\nF9xVMa1awddf+04ksiUt8EVEREQCVqmSu7T4sstgxAg49VRYu9Z3KpH4atLE3f7y1Vdw5JGwapXv\nRCJ/yuoFvkZVBGbKFN8JJGrqNCzqMyzqM1ZKlHBbfs2YAc88Ay1awGefFfoG9RkedZpS9evD/Plu\n4F7LlvDJJyn+hepTEpTVC3zdyRKY/HzfCSRq6jQs6jMs6jOWunRx9w+vWweNG8Pzzxf8hfoMjzpN\nuf33h1dfhfLl4YgjYPHiFP4y9SkJMjZLb8QyxuQAeXl5eeRoaIWIiIhkke+/h+7d4bnn4LrrYPBg\nN31fRIrum2+gXTtYscJdIdOsme9Eksny8/PJzc0FyLXWRv7JTVafwRcRERHJRrvu6qbqX3wxXHQR\nnHEG/Pqr71Qi8bTHHvDii3DwwXD00e5rEV+0wBcRERHJQiVLwtixMG2auze/ZUtYudJ3KpF4qlwZ\n5sxxx9Fxx8Hs2b4TSbbSAl9EREQki3XrBq+9BmvWuPvyX3nFdyKReCpfHmbNgo4d4aST4MEHfSeS\nbJTVC/xZvgNItDp39p1AoqZOw6I+w6I+g3Lo5Z15++0/LzGePBmydExTOHSMelG2LEyfDj17Qo8e\ncPvtEb2w+pQEZfUC/2bfASRaAwf6TiBRU6dhUZ9hUZ9hGTiQPfaAuXPhvPNcvWef7bYAk5jSMepN\nqVJuV7vzz4cBA2DcuAheVH1KgjRFX1P0RURERLZw991uYXLooe7+/GrVfCcSiR9rYeRIuOoq+Pe/\n3T+1W4Voir6IiIiIpFXv3u5e/FWr3H35b7zhO5FI/BgDo0e7rSjHjIF//Qs2bfKdSkLWxD5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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "\n", "\n", "#create a grid output\n", "plt.subplots(figsize=(12, 7))\n", "plt.plot(prey_cumulative, predator_cumulative, label='predator', color='#0000ff')\n", "plt.ylabel('Number of Animals')\n", "plt.xlabel('Timestep')\n", "plt.title('Counts of Animals')\n", "plt.legend(loc='upper left')\n", "plt.grid(True, color='r')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { "display_name": "Python [default]", "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": "3.5.2" } }, "nbformat": 4, "nbformat_minor": 2 }