{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "ExecuteTime": { "end_time": "2021-09-08T12:55:01.659872Z", "start_time": "2021-09-08T12:55:01.653529Z" } }, "outputs": [], "source": [ "%display typeset" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Introdução à dinâmica contínua de populações\n", "Neste documento vamos introduzir o estudo da dinâmica de populações.\n", "## Modelos de uma única espécie\n", "\n", "Em modelagem da dinâmica de uma população, estamos preocupados com as varições do número de indivíduos ao longo do tempo, que produz a sua dinâmica. Este número só pode mudar em decorrência de uma das causas abaixo:\n", "\n", " Nascimentos\n", " Mortes\n", " Imigração \n", " Emigração\n", "\n", "Por conseguinte, dado um pequeno intervalo de tempo $\\Delta t$, Esta alteração no número de indivíduos, $\\Delta N$, sempre pode ser escrita da seguinte forma:\n", "\n", "$$\\Delta N = (B - D + I - E)\\Delta t$$\n", "\n", "onde $B \\Delta t$, $D \\Delta t$, $I \\Delta t$ e $E \\Delta t$ correspondem ao número total de nascimentos, mortes, individuos entrando e indivíduos saindo da população no interval $\\Delta t$. A forma funcional de cada um destes elementos deve ser definida pelo modelador em função da população que se deseja modelar.\n", "\n", "Equações como a descrita anteriormente, são conhecidas com equações de diferença, e são mais adequadas adequadas quando a população de interesse apresenta um tempo geracional bem definido sem sobreposição de gerações. Quando este pressuposto não é válido, podemos tornar $\\Delta t$ bem pequeno, desta forma aproximando as variações da população por uma função contínua $N(t)$. Então obtemos uma equação diferencial como esta:\n", "\n", "$$\\frac{dN}{dt}= B(N) - D(N)$$\n", "\n", "Vamos agora explorar alguns modelos populacionais simples para nos acostumarmos com a sua representação\n", "## Modelo Malthusiano\n", "\n", "em 1798 Thomas Malthus, provavelment basado em um modelo como o que examinaremos agora, [vaticinou](http://en.wikipedia.org/wiki/An_Essay_on_the_Principle_of_Population) que a menos que a a taxa de nanatlidade da população humana fosse controlada evoluiríamos para uma situação em que não haveria mais comida para alimentar a todos, e o controle populacional seria alcançado através da fome e doenças." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "ExecuteTime": { "end_time": "2021-09-08T12:59:55.210363Z", "start_time": "2021-09-08T12:59:53.135655Z" } }, "outputs": [ { "data": { "text/html": [ "" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}10 \\, e^{\\left(\\frac{3}{10} \\, t\\right)}$$" ], "text/plain": [ "10*e^(3/10*t)" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "var('t')\n", "N = function('N')(t)\n", "diffeq = diff(N, t) == 0.3*N\n", "sol = desolve(diffeq, N, [0,10])\n", "sol" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "ExecuteTime": { "end_time": "2021-09-08T12:59:58.359165Z", "start_time": "2021-09-08T12:59:57.542022Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "Graphics object consisting of 1 graphics primitive" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "plot(sol, (t, 0, 10))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "## Crescimento dependente da densidade\n", "\n", "Como Malthus temia, vamos a população vai crescer exponencialmente e não haverá comida para todos. Mas se a população realmente crescer desta maneira, os indivíduos certamente competirão por recursos, pois estes são limitados (finitos).\n", "\n", "Podemos então imaginar que, nessa situação apocalíptica, toda porção de comida será disputada com necessáriamente um perdedor que ficará sem comer. Desta forma podemos adicionar um termo de mortalidade proporcional à taxa de encontro entre os indivíduos:\n", "\n", "$$\\frac{dN}{dt}= 0.3N - 0.1\\frac{N*N}{2}$$\n" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "ExecuteTime": { "end_time": "2021-09-08T13:01:17.128771Z", "start_time": "2021-09-08T13:01:16.956799Z" } }, "outputs": [ { "data": { "text/html": [ "" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\log\\left(N\\left(t\\right)\\right) = -i \\, \\pi + \\frac{3}{10} \\, t + \\log\\left(40\\right) - \\log\\left(20\\right) + \\log\\left(N\\left(t\\right) - 60\\right)$$" ], "text/plain": [ "log(N(t)) == -I*pi + 3/10*t + log(40) - log(20) + log(N(t) - 60)" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "Podemos encontrar os equilíbrios deste modelo de crescimento ()" ], "text/plain": [ "Podemos encontrar os equilíbrios deste modelo de crescimento ()" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left[N\\left(t\\right) = 0, N\\left(t\\right) = 60\\right]$$" ], "text/plain": [ "[N(t) == 0, N(t) == 60]" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "var('t')\n", "N=function('N')(t)\n", "diffeq = diff(N, t) == 0.3*N - 0.01*N*N/2\n", "sol = desolve(diffeq,N, [0,40])\n", "show(solve(sol,N)[0])\n", "pretty_print(html(r\"Podemos encontrar os equilíbrios deste modelo de crescimento ($\\frac{dN}{dt}=0$)\"))\n", "solve(0.3*N - 0.01*N*N/2, N)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Neste caso a solução converge para uma população de 60 indivídues. Podemos inspecionar a dinâmica por meio de integração numérica." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "ExecuteTime": { "end_time": "2021-09-08T13:02:09.760034Z", "start_time": "2021-09-08T13:02:08.244650Z" } }, "outputs": [ { "data": { "image/png": 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MtGnTEgDt7OzYtGlT7tq1y+rnFhISwuXLl7Ny5crRn5E8efJw0qRJ9Pf3tzrv/Pnz7NmzJ1OkSEEAdHJyYps2bXj06FGrswIDAzl//nyWKlUq+tyKFi3KWbNmMTg42KosVVV5/PhxdurUicmSJSMAurq6snPnzjx37pxVWST54sULzpgxg4ULF44+tzJlynDBggUMDw+3KstkMnHfvn1s3bo1HR0dCYApU6Zk7969ee3aNauySPLp06ecOHEi8+TJE31uVapU4YoVK6zemTUajdy+fTsbN25MOzs7AmDatGk5YMAA3rt3z6osknz48CFHjhzJLFmyEAANBgNr1arFdevWWT0ojIiI4MaNG1mnTh0aDAYCYKZMmTh8+HA+fvzYqiySvHXrFgcNGsT06dMTAG1tbdmwYUNu3749uk2SD5y0i6VZs2bRH17tYrlw4UJ8/7Yf1NOnT/nrr78yd+7cb10sf/75J0NDQ63Ket/Fki5dOg4cOJA3btywKov88MWyfv16q/cOIyIiuGHDBtauXTv6YsmcOTNHjBjB+/fvW5VFkjdv3vzPxdKoUSNu27aNUVFRVmWFhoZy5cqVrFq1avRnJFeuXJwwYYKQG8GlS5fYt29fenh4EAAdHBzYqlUr7tmz572BZ0gIuWQJWaaM+apPl4785RcyLvff4OBgLlq0iOXKlYs+t4IFC3L69Ol8/vy5Vc9LVVWeOnWKXbp0oZubGwHQxcWFHTp04NGjR61+A/f39+ecOXNYvHjx6HP73//+x3nz5jEgIMCqLFVVeejQIbZr1y6645U8eXL26NHjo6OD8ZGvry+nTJnC/PnzR59bxYoVuXTpUquPxptMJu7cuZPNmjWjvb09ATB16tTs378/r169alUWae54jR07ltmzZycAKorCGjVqcM2aNQwLC7MqKyoqips3b+a3335LGxsbAqCnpyeHDBnCO3fuWJVFknfv3uWQIUPo6ekZ3fH69ttv+ffff1u9wxweHs61a9eyRo0a0R2vbNmyccyYMfTy8rIqiySvXbvG/v37M3Xq1ARAe3t7NmvWjDt37rR64Pnq1SsuXbqUlSpViv7858uXj1OmTKGvr+9/2ifZwMnLy4tjxoyJvli0x5IlS6zek4mMjOTff//9n4tl6NChUi+WzZs3C7lY1qxZw6+//jr6YsmePTvHjh0r5GK5evXqfy6W5s2bC71YKlasGKeLJaE6e/Ysu3fvzuTJkxMAnZ2d2a5dOx46dMjqX/IBAQGcN28e//e//0WfW/HixTl79uwPjsBcuUL26kUmT26+2mvUINevj30ajjR/yR89epQdOnSgi4sLAdDNzY1dunThqVOnrH5uz58/5/Tp01moUKHocytXrhwXLVpk9REYk8nEvXv3slWrVtGjFB4eHuzTp4+QkeMnT55wwoQJzJUrV/S5Va1alStXrrR6xysqKorbtm1jw4YNo0dX06dPz0GDBvHmzZtWZZHk/fv3OWLECGbOnDm641WnTh1u2LBBSMdr/fr1rFWrVnTHK0uWLBw5cqSQqdsbN25wwIABTJcuXfToauPGjbl9+3ar37dCQ0P5559/skqVKtGfkdy5c/PXX3/lkydPrMoiyYsXL0antQCgo6Mjv/vuO+7bt8/qI/7vprUAYOHChTljxgy+ePHCqixVVXny5En+8MMPdHV1JQAmS5aMHTt25LFjx2K9byWpwCkiIoLr1q37z8UyatQoXr58+a0cJ2tIu1hiTkU0adJE2MWyYsUKfvXVV29dLBMnThRyscTMAdMultatWyeJiyVmDph2sXTq1InHjx+3+pf8uzlgAFi6dGnOnz/fqp9F8r85YACYIkUK9uzZk+fPn3/vNqGh5LJlZLly5is8TRpy0CDy7t2P897NAQPAypUrc/ny5Vaf+n43BwwA06RJw59//lnINMu7OWCKovCbb77hX3/9JaTjFTMHDAAzZszIYcOGCZlmiZkDpo2uNmjQgFu2bLH66Oq7OWAAmCNHDo4bN47e3t5WZZFv54BpHa8WLVpw9+7dVr9vvZsDBoD58+fn1KlT+ezZM6uy3s0B0zpe7du35+HDh61+33o3BwwAS5Qowblz51o9ry62tJbTp09b/dzezQEDwPLly3Px4sVx7nglqcDp0KFD0VMRLVu2fOtieTc53BoqXbo0AbBAgQKcNm2a1S+WmNqwYUP0xfL9998LuVg0qaoanU+k5YCJTEL9/fff37pYzpw5I+zcwsPDo4NBLQfM2qMUMTV69GgiRg7Y5cuXhbH8/f2jc860HLAPTUVcu2ZO7E6RwnxlV69OrltHWtLx79mzJxEjB+z27dvWOZH36P79+9Gjq/Xq1eOmTZusProaU82bNydi5IA9evRIGOvMmTPRHa+mTZvy33//FbqgQxup0HLAPpTfZg1t376diJEDduDAAaH3rYIFCxIAixQpwpkzZ9LPz08IiySXLVtGxMgBO3HihLBzi4qKik4j0HLAgoKChLBIcvLkycLTWjQFBwdHj1RrOWDW7njF1IABA97KAYtPWkuSCpxUVeWiRYvee7GICJwOHTrEkydPCl0hoSkiIoKLFy8WerHE1M6dO4VeLDH18uVLrlixwupTER/S5s2bheSAvU/e3t5CcsA+pHXr1sWaA3b9OtmkiflqTp2aHDCAjG+8c/PmTSE5YB/Sn3/+KSQH7H06f/78B3PArC1VVblkyRKr54B9SMeOHROSA/Y+GY1GLlq0yOo5YB/S3r17heSAvU/aVL/IFdkx9c8//wjJAXuffH19heSAfUgbN24UktbyPt27dy/BOWCWBE4KzcHKJyNFUdwABAYGBsLNzS3WtkFBQXB3d0dc2urSldT08KHZB27ZMiBjRmDECKB1a8DePrGPTJcuXbo+L2nxBAB3kkGxtdUrh+vS9ZnJ1xcYPx6YNw9IntxcqPKHHwAHh8Q+Ml26dOlK+tIDJ126PhMFBABTppgDJVtb8whT795AsmSJfWS6dOnS9eVID5x06frEFRICzJoFTJxotkbp0wf4+WcgZcrEPjJdunTp+vKkB066dH2iiowEFiwAxo4F/PzM03FDhgDp0yf2kenSpUvXl6skafKrS9fnLFUFVqwA8uQBevUCatQAbt4EZs/WgyZdunTpSmx9MiNOJOcAmKOtqkvs49GlKzH08CHQoQOwbx/QqBGwbRtQoEBiH5UuXbp06dL0yQROunR9ySKBxYuBfv3MK+V27waqV0/so9KlS5cuXe/qk5mqs5aMRiP27t0rjXfmzBn4+flJYYWHh+PQoUNSWABw5MgRhISESGEFBwfj2LFjUlgAsG/fPkRFRUlhvXjxAufOnfvg+0+eAHXrAp06AU2bApcvJyxo2r17N2TVZ/P29sbVq1elsEhi165dUlgAcPv2bdy7d08Ky2QySb1vXbhwAT4+PlJYkZGR2L9/vxQWAJw4cQJBQbGW4bGaQkJCcPToUSksADhw4AAiIiKksF6+fIlTp+RlzuzZswcmk0kKy8fHB5cuXYr/Dj5WIVP2A7GY/H6o0qfW9uHDhyxXrhwVReGpU6csKxtqoUwmE6dMmUJbW1u2aNFCKIskr1+/zsKFC9PBwUGoDQZptgIYOnQoFUVh7969hbJIsz1Fzpw56ebmJtQqgjT7bPXq1YsAOGbMGKEskjxw4AAzZMjA9OnT/6casaqSK1eaLVLSpSO3bk0YKygoiG3atCEAzp8/P2E7i4O2bNnClClTMk+ePMIrjb948YL16tUjAG7cuFEoiyRXrFjBZMmSsWzZssKrcT9+/Djar/LQoUNCWaqqcvbs2XRwcOC3334rlEWaPfRKlChBW1tbodZEpLmi+dixY2ljY8NOnToJZZFmo9y8efPSxcVFiDl6TEVERPCnn34iAA4ePFgoiySPHj3KzJkz08PDQ6g1F0mGhISwU6dOBMDp06cLZZHkjh07mCZNGmbNmvUtj8okZbkSm2IGThs3bmTy5MlpMBg4YsQIob5Qz549Y+3atQmARYsWFeI6rkmzbnB2dqadnR2nT58u9Eb+6NEjVqxYMdr3TaSfl6qqnD59Ou3s7Ojs7MwlS5YIPbebN29GG/PWqlVLqA+h0WjkyJEjaTAYmDx5cm7YsOGt9589Ixs3Nl+BLVqQCfU9PnfuHHPlykUAbNGihdXNhmMqPDycffv2JQCmS5eOe/bsEcYizTZIGTNmJAB269ZNqI3Pq1ev2L59+2hPuxMnTghjkWbLDc28dtCgQUK9+vz8/NigQYNoL84rV64IY5HkqlWr6OrqShsbG/76669CrW6ePHnCatWqEQBLlSolxEhZk6qq/P333+ng4EBHR0fOmzdPGIsk7969y1KlShEAq1WrJsQAXpPJZOL48eNpY2NDV1dXrl69WhiLJC9fvsz8+fMTABs2bEh/f39hrMjISA4cODDaZ/Sff/556/0vLnDq3LlztDHp/v37LfhTWq59+/ZFGzP26tVLqO9PUFAQW7duHe0+fvr0aWEs0uz3ljJlSiqKwqFDhwodRXj+/Dnr1q1LACxcuDCvX78ujEWSy5cvp4uLC+3s7Dh16lShN3Fvb29WrlyZAFi2bFk+ePDgrfc3bTJ7ynl4kGvXJoylqipnzpxJe3t7Ojk5ceHChUKDz1u3brF48eIEwG+++UboCKHRaOTo0aNpMBjo7u7OdevWCWOR5IULF5gnTx4CYNOmTYX2tCMiIti/f38CYJo0abhz505hLJI8cuQIM2fOTAD84YcfhBquvnr1ih06dCAAZsmShceOHRPGIsl///2XqVOnJgD+/PPPQj0kX758ycaNGxMA8+XLx0uXLgljkeTatWvp5uZGGxsbjhs3TuiAwNOnT1m9evVoI3iRPnOqqvKPP/6go6MjHRwcOGfOHKH3rfv377NMmTLRpsPv88f8YgInzYEcAOvUqSPUUDMqKorDhw+noihMkSIF//77b2Eskjx79ixz5sxJAGzZsqXwEYTevXtHjyDs3btXGIskDx48SE9PTwJg9+7dhY4gBAcHs23btgTA7NmzC5/C3bZtGz08PKgoCgcPHvzWCIK/P9mmjfmq+/Zb8unThLH8/PxYv359AmDBggWFm4WuXLmSyZIlo62tLSdNmiQ0+Hz8+DGrVKkS7Rwfm8lxQqWqKufMmRM9gjB//nyhN/E7d+6wZMmSBMDq1avzaUI/CLHIaDRy3LhxtLGxoZubG9esWSOMRZKXLl1ivnz5CICNGzcWGnxGRkZywIABBMDUqVPz33//FcYiyePHjzNLliwEwI4dOwo1Ag4JCYkeEMiUKROPHDkijEWaDeDTpElDAOzfv7/Q4DMgIIDNmjUjAObJk4fnz58XxiLJ9evX093dnQaDgaNHj/5g8PlFBE5Lly6ls7MzAXDcuHFCb3ReXl7R01fly5fnw4cPhbFUVeWMGTOiRxAWLVokfAShWLFiBMCaNWvS19dXGMtoNHLUqFHRIwjr168XxiLJ8+fPM3fu3ATA5s2bC3Vzj4iIYL9+/QiAadOm5a5du956f8cO0tOTdHMjly415zclRIcPH2amTJkIgF26dBE+ffX9999HT18dP35cGIskt2/fHj19NXDgQKHTV/7+/mzUqBEBMH/+/MLzcNasWRM9fTVhwgShwefTp0+jp6/+97//8e7du8JYqqpy3rx50SMIc+fOFXrfunfvHkuXLk0ArFq16ntHEKwlk8nEX3/9NXr6atWqVcJYJHnlyhUWKFCAANigQQP6+fkJY0VGRnLQoEEEQA8PD27btk0YiyRPnjzJbNmyEQDbt2/P4OBgYazQ0FB27dqVAJgxY8aP5g8m6cApODg4OgE2a9asjEuQlRBpCbCKonDIkCFCp69iJsAWKlSI165dE8Yi3yTA2tracvLkycJHELQEWBkjCFoCrJOTExcsWCD0Jq4lwAJgjRo13pq+Cgkhu3QxX2lff00mNGXMaDRyzJgxNBgMdHNz419//ZXAo49dWgKsjBGEmAmwqVOn5o4dO4SxyDcJsADYqVMnodNXMRNgM2fOzKNHjwpjkW+PIPz000/Cp6+aNm1KAMybNy8vXrwojEWSf/31F93c3GgwGDh27Fih01c+Pj6sUaMGAbBEiRJCF+aoqsoFCxbQycmJ9vb2nDVrltD71oMHD1i2bFkCYOXKlent7S2MZTKZOHnyZNra2tLFxYUrVqwQxiLJa9eusVChQgTAb7/9li/ikESaZAOndxNgvby8hAVOSTkBNjg4mO3atSMAZsuWjSdPnhTGIr/cBFhfX7J0adLJifz994SPMj158oRVq1ZNtARYkTdxPQHWOvpYAqy1deLEiegO7Pfffy90+io0NJRdunSJHkE4fPiwMBZJ7t69m2nTpiUA9uvXT/j0VfPmzQmAuXPnFj59tWHDhujFVKNGjRIafPr6+rJmzZoEwGLFiglfTLVo0SI6OzvT3t6eM2bMiPN9K8kFTh9KgH23HIG19CUlwIqevvpSE2CvXyezZSPTpiWtkdP/bgKsyOBTT4C1jlRV5fz58z+pBFhryWQyceLEibS1tWWyZMn4559/CmOR5NWrV1mwYMHoEQTR01eDBw+moij08PDg1oTWCfmITp06xezZsxMA27ZtK3T6KiwsjN27dycAenp68sCBA8JYJLl3797oxVS9e/d+a/m/tRUYGMhWrVoRAHPmzMmzZ89avH2SCpzmzZv33hEEEYFTSEgI06RJQ1tbW06cOFHo9BVJjh49mgBYunRpoSMIpLmMgouLi5QEWJLR9ZJEJ8CS5hELW1tbKQmwJKN7h40aNfrPCMLBg+baTPnzk+8sqIuXTp06JS0BlmT0qFaHDh2EjiCQ5nwmWQmwJpMpevj+xx9/FDqCQJLLli2TlgAbERHBTJkyfTQB1lqaMmUKAbB48eK8deuWUFZAQADd3d1pb2/PmTNnCr9vaQnnlSpVEl6fydvbmw4ODnRxceGyZcuEskhG5yrWrVtX6GIq0jzSKmsxFUnWqVOHAPjdd98xKCjI4u2TXOAUGhrKUaNG/WcEQdSI0+rVq4UnwGp6+fIlx40bJ3QEIaYWLFggPAFW0+PHj4XnTsXUzJkzhSbAxtSNGzfemwC7ciVpb09WrUpaKx1IVVVOnDhR6AhCTJ08eZIrV66UwjKZTBwzZozQEYSY2rVrl/AEWE0REREcNWqU0BGEmNqwYQMPHjwohRUUFMTRo0cLHUGIqWXLllk8ghBf+fr68tdffxUefGqaO3cub9y4IYV17949i6avEqopU6YIrQUYUxcuXODixYvjfW6WBE4KzcFKoktRlB4AesBsA5MnMDAQbm5usW4TFBQEd3d3xKWtLl0iRQLjxgHDhgHt2gF//AHY2yf2UenSpUuXrrhIiycAuJOM1bPnk/GqIzmHZH4ApRL7WHTpskRRUWafuWHDgFGjgCVL9KBJly5dupKqbBP7AHTp+pwVGAg0aQIcPAgsXw60aZPYR6RLly5dukRKD5x06YqnHj0C6tQBvLyAnTuBKlUS+4h06dKlS5do6YGTLl3x0LlzQN265im5Y8eA/PkT+4h06dKlS5cMfTI5TtYQ36zMk8ZLqpL9d/yc/m/btgGVKgEZMwInTsQeNH1u52YpKymfm0zJ4sn+n2nMpMiSydP/b58WL0kFTkFBQWjXrh18fHyk8BYsWIDFixdLYfn6+qJdu3YICAiQwps0aRI2bdokhfXgwQN07NgRYWFhwlkk8csvv2D//v3x2n7uXKB+faB6deDAASBdutjbX758GT169EBUVFS8eJZIVVX07t0bZ8+eFc4CgKNHj2LAgAFQVVU4KzIyEp07d8bNmzeFswDgn3/+wdixY6Xc0F+9eoX27dvD29tbOEtRFPz555+YM2eOcBYA+Pn5oV27dvDz85PCmzFjBtasWSOF5eXlhe+//x6vXr0SzlIUBaNGjcKOHTuEswDgxo0b6NKlCyIiIoSzVFXFjz/+iOPHjwtnAcDp06fRt29fmEym+O/kY/UKZD8QR5PfmHUXAgMD+erVK5YvX54AuHDhwo9um1CtWLGCiqKwYMGCwgvp+fn5RRfu27Rpk/AaHL/99hsBsGLFisJZ3t7ezJYtG21tbXnw4EHhvCFDhkRbX1iqyZPNlc/69CHjUuLlxo0bTJMmDZ2cnIT7d6mqGm1H0aVLF6Eskjxz5gzd3NyYIkUKob6DJBkVFRVdyXzo0KFCWSS5Z88eOjg4MEOGDHHyuEqIwsLCoguOzpw5UyiLNDvFGwwG5s6dW2hlfdJcuFLzcBRta0OS8+fPjzY0Fl2DycfHh7lz56bBYPiPobcIjRs3jnhtxC76Hnnv3j16enrSwcGBp06dEspSVZV9+vQhALZp00YoiyQvXbrEFClS0NXV9T+FW5NcAcwPSTtRX19ffv311wTAUaNGWfJ3jJc2btxIGxsb5syZU6inFmk+R83Da+7cuUJZJLlw4UICYNGiRYUaupLmQnN58+alwWCQUu17woQJBMCvvvrKYi/AJUvMV8svv8St/f3795kxY0ba29sLv7Gqqsoff/yReO2mLrqY6uXLl5kyZUomS5ZMuM+hyWRi27ZtCYAdO3YUXkz16NGjdHFxYerUqXn9+nWhrMjISNatW5cAOHDgQOFfiNu3b6ednR2zZMkivCjhq1evWKFCBQLg1KlThbJI8s8//6SiKCxQoIDwith+fn4sXLgwAUip9j1jxgwCYNmyZYUXU43Zkd2yZYtQFkkOHTqUAFirVi3hAxA3b95k2rRp6eTk9F6fwy8ucKpVqxbx2gVc9M3n33//pZ2dHTNlysQH1vDTiEUhISGsVKkSAXDSpElCWaTZsFZRFObLl4/Pnj0TyvL392eRIkUIgIsXLxbKIslZs2ZFW9tYWo7/779JGxvyhx/iZtT7+PFjZs+enTY2NlKsBkaMGEEArFGjhvBKzrdu3WK6dOno6Ogo3OdKVVV269aNeG3qLXoU4ezZs3R3d2fy5MmFW6QYjUY2a9aMANijRw/h9639+/fT0dGR6dKl4+3bt4WywsLCojuyI0eOFMoiE68jO2fOHKEs8svoyFauXFmoqT0Zt47sFxM4+fv7ayfKrl27Cr/5HDx4kI6OjkybNq1wf6bw8HB+8803BMDhw4cLZZHk5s2baWNjw+zZs9Pb21soKygoiKVLl5Y2PbF48WICYJEiRSx2pj9wgHRwIJs0idv03LNnz5g/f34qisJVq1bF84jjrsmTJ0dPq4qeenn48CEzZcpEOzs74Z55qqry559/JgDWq1dP+Cja1atXmSpVKrq4uAi3WzKZTNGeYe3atRM+inbixAkmS5aMHh4eb3l9ilBkZCS//fZbaR3ZHTt2JNmO7OrVqxOlI7to0SKhLDJhHVlL9eTJE+bIkeOjHdkvInAymUxs06YNAbB58+bCbz4nT56kq6srU6ZMKdzrLSoqig0bNow2IxV989m9ezft7e2ZMWNG4fkqoaGh/OqrrwiAEyZMEMoiybVr19JgMDBPnjz09fW1aNtz50g3N7JaNTIuAzkvX75ksWLFpOXZzZ07lwBYsmRJq/s1vqsnT54wZ86ctLGx4caNG4WyyDfm19WrV2dYWJhQ1p07d5g+fXo6Ojpy//79QlmqqkabXzdt2pRRUVFCeRcuXGDy5Mnp5uYm3OvNaDSyZcuWUjuyTk5O0jqyNWvWJAAOGzZMKIs0d2RtbW2ldWTLlCkjrSO7ZMmSeHdkLdXz58/j3JFN8oFTzIQyAMINQi9evBidUHb69GmhLJPJxNatWxMAf/jhB+E3n8OHD9PZ2Zlp0qQRbjQZERERPa36S1yThRKgrVu30tbWllmzZrXY5fzWLTJNGrJkSTIuHaLg4GCWK1eOAPjbb7/F84jjruXLlxMACxYsKDyB+cWLFyxQoAAVReGKFSuEskhy2rRpBMDy5cvz1atXQlmPHj1ilixZaGdnx3/++UcoiyQHDx5MAKxTp47wnI7r168zderUdHZ25tGjR4WyVFVlp06dopN8RXdkT506lSgd2X79+knryHp6ekrtyI4fP14oiyT/+uuveHdkLVVAQACLFy9OAFywYMFH23+WgRPMBr/XANz4WOCkJZRVr16dH2ubUN28eTN6ZdT7EsqsqZgro7777jvhOR0xV0aJXvUVFRXFJk2aEAB79+4t/Oazd+/e6JVRd+/etWjbx4/JrFnJPHnIuOSZxlwZNXbs2HgecdylrYzKlSsXnz59KpQVc2XUvHnzhLLINyujihcvzoCAAKGsmCuj1q1bJ5RFvlkZVaVKFeE5HTFXRu3Zs0coK2ZHtlGjRsJH0RKrI9u5c2fh960jR45I7cjWrl1bWkd227Zt8e7IWqpXr15Fd2SnT58ep20+y8Ap+oA+MuIUc2WUj4+P0MApsVZGNWzYUPjNR18Z9X75+5MFC5IZM5IPH368fcyVUYMGDdJXRiVA+soo6yipr4xKjI5sq1at9I5sApSQjqylCgsLY7Vq1SzuyCbZwOndhLKYdZysrcRaGfXNN9/oK6MSoISsjAoJIcuXJ1OmJK9d+3h7o9HI5s2bEwB79uypr4xKgGSujAoKCpK6MmrRokVJdmXUr7/++kmtjLKWVFVl//79CYD169cXvjjhypUr9PDwkN6R7dChg/CO7LFjx+ji4sJUqVLxWlxurAlQZGQk69WrF68SH0kycHpfQpmowCmpr4zKnDmzvjLqHUVGkrVrky4u5IkTH28fc2VU+/btk9zKqPr160tdGWVvb6+vjEqg/P39WbRoUWkro2bPni1tZdTjx4/jtDLKWho5cqS0Eh+3b9+W2pHt3r179KIq0R3Zc+fOSS3xoXVk41Piw5LA6bOxXImIiEC+fPmwa9cupEiRQihLs8f4448/0LJlS6EswGwn8b///Q/btm2Ds7OzcJatrS3WrFmDmjVrCmVpvGrVquGvv/6CnZ2dcJaTkxO2bt2KMmXKxHk7VQW+/x7YvRvYtAkoXTou26gwGo1o2rQpFi5cCINB7KUUERGB5MmTY9euXShQoIBQlslkgtFoRNeuXTFp0iQoiiKUFxERgfTp02Pv3r3IkiWLUJbRaISqqhg2bBh+/vlnoSzAfG45c+bE7t27kTp1aqGsqKgokMTMmTPRoUMHoSzAfG5FihTBv//+C1dXV6GsyMhIGAwGrFixAvXr1xfKIomIiAhUqFABmzZtgoODg1BeREQEHBwcsGnTJlSuXFkoiySioqJQr149rFixAjY2NkJ5ERERcHV1xb///ouiRYsKZWn3rfbt22PmzJlC71sKzaM8n4wURXEDEBgYGAg3N7e33tM+YJqCgoLg7u6O97VNqN5liZZMnkwWSURGRn6y50YC/foBM2cCa9YAzZrFnaWqKkwmk/CAUJPM/1tUVBRsbGyEB4SaZH/+7e3thQeEMXmf6uf/c+Lp52YdacGTvb29FJ7MczMajQAAW1tbi7fV4gkA7iSDYmtr+d4TUTIvGpks2TyZLEVRPulzGz8emDHDbN5rSdAEAAaDQVpgAcj9v8kKBjV9yp+Rz4mnn9vnyZN9T5YVNAFyzy0+AVN89NlM1enSZW3NmwcMHQqMHg1065bYR6NLly5duj4H6YGTri9S27YB3bsDvXqZgyddunTp0qUrLrIocFIUZaSiKHzn4RPjfeV1myeKooQpinJAURSxmayJKJn5YUmVlRh69Aho2xaoUwf47TdAVKoL36wUlaKk/n+TKf3/9vlJ9t9R/79ZR7KvNWvw4jPidBVA+hiPQjHeGwDgRwA9AfwPgA+A3YqiiF1y8VozZszA33//LQOFx48fo1u3bggODpbCGzNmDPbt2yeFdfPmTfTp0wfh4eHCWSQxYMAAnD59WjgLAI4dO41y5R7C1ZVYtgwQmaJEEr169cK1a9fEQWJo586dmDRpElRVFc6KjIxEly5d8ODBA+EsAFi9ejX++OMPKTfZ4OBgdO7cGb6+vsJZADBv3jysXbtWCuvZs2fo0qULAgICpPAmTpyIHTt2SGHdv38fPXv2RGhoqBTe0KFDcfToUSmsixcv4ueff0ZkZKRwFkn069cPFy9eFM4CgIMHD2L06NEwmUzCWSaTCd26dcOdO3cStqOP1SuI+QAwEsCFD7ynAHgKYGCM1xwABADoYgEjTia/MesuBAYG8uDBgzQYDCxVqpTw2hRRUVGsWLEiFUXh3r17hbJIc3FAAKxdu7bwmjohISEsWLAg7ezshJuCkuQff/wR7RIvWv7+/nRz+51AJNetE2ucSZJjx44lAP7888/CWV5eXkyVKhVTp05NX19f4Z8TzWJj4sSJwlnXr1+ni4sLs2bNKrzqtqqq0Ua1S5cuFcoizfW5bG1tWaRIEeF1zkwmU3RR023btgllkeS///4b7fIg+jMSHh7OkiVL0sbGhseOHRPKIt94RTZr1kz4uQUFBTFXrlx0dHQUXkCSfOMV2aNHD+EsHx8fpkuXjsmTJxduZkySgwYNIgCOGjXqP+8JK4D5OnAKAfAEwH0AawBkf/1e9tfQYu9ssxnAslj26fA6WNIenpYGTpq7efLkyXnv3r14/knjLs2oc8iQIcJZd+/epbu7OzNkyCC8gB5JduzYUZpR7YULF+jg4MA8efJI+UIsXXo0AbJVq3NCWaS5yrcWyIu2oYiKimKFChWoKAp37twplEWSGzZsiK5yL7rwZ8xA/tSpU0JZJDlv3jwCYOvWrYV/Ifr5+TFz5sxMliwZb968KZRFkmPGjIk2qhUtLy8venh4MHXq1Hz8+LFwXq9evQiAEyZMEM66du0anZ2dmS1bNuGV4FVVZYsWLQiACxcuFMoiyePHj0cH8qIrwRuNxmi/2c2bNwtlkeQ///wTHci/b3BFZOBUC0BjmKfnqgM4APN0nAeAcq+hGd7Z5g8AO2PZ58jX2731sCRwqlKlCgFw06ZN8fyTxl1aL6py5crC/eS0XpTBYOChQ4eEssg3vaiGDRtK7UWJ9mUiyWHD/iDwgpkzX6Tg7/q3elGi3c3JN72ooUOHCmdpgbynp6fUQH7GjBnCWefPn5cayGvWEDLcCWQH8uXLl6eiKMKtUUiz6TUA1qxZU0ogX6BAAdrZ2Qk3GCaTdiA/evRoAuCPP/4onPXo0SN6eHgwTZo0H7R0kma5AsDldeD0Y4zAKf07bRYA2BHLPhI84pTUe1Hjx48XztJ6UVmzZk1yvajDh08QOEo7u6f08pLXi5JhDaH1omQF8iVKlKCNjY1wg1XyTSDfqFEj4V8agYGBzJkzJ52cnHjp0iWhLJKcMmUKAbBLly7CWTEDedGWNiQ5cOBAAuCwYcOEs+7cuUM3Nzd6enoKN4YmGW2zNHPmTOGsc+fO0cHBgXnz5pUayK9evVooiyT37dtHg8HA0qVLCw/kIyMjWa5cOSqKwt27d3+wnVSvOgC7Afwe36m69+wvzjlO27ZtIwCWKFFC70UlQDF7UUlxOsTNbQ6BKK5e/VAoi/z0elHWVFKeDtE8rmR4vB07dix6OiQsLEwo61ObDrGmwsPDWbx4cWmB/NKlSwmAjRs3lhrIX758WSiLfBPId+3aVTjr6dOnTJs2LVOkSCElkB8wYAABcPjw4bG2kzni5ADAG8BwvEkOHxDjfXsISg738fFhmjRpCEDKB0tmL+ru3btSe1EdOnRIsr2oUqVGECBbtjwvlEV+mr0oa2ndunUEwFq1agkP5F+9esUCBQrQ3t6eZ86cEcoiyd9//50A2KZNGymBfKZMmejq6spbt24JZZHkqFGjCID9+/cXznr06BFTpkwpLZDv2bMnAfDXX38Vzrp69SqdnZ2ZPXt2BgQECGWpqspmzZoRABcvXiyURb4J5IsWLSolkK9WrRoBcMuWLUJZ5JvBlSpVqnw0kBeZ4zQFQGUA2QCUBrAVQBCALK/fH/g6UGoIoCCAVTAnkrtawPho4BSzFxXX0amESHYvSuZ0yLJly5JsL2ro0HkEnjNz5kvS8po+tV6UNaRNh2TMmFHqdMisWbOEs7RAPl++fHz16pVQlslkYt26dQmAa9asEcoiyb1791JRFJYpU0b4ir2YgfyePXuEskjyr7/+il5pLCOQz58/v7RAfu7cuQTAtm3bCr8nv3jxIjqQv337tlAWSY4cOZIA+NNPPwlnPXz4kClTpmTatGn59OnTj7YXGTiteR0IRQJ4DGADgPwx3ldgTvZ+CiAcwEEABS1kfDRw0npRWo9DZOCk96KsI9m9qEOHjhE4TDs7H3p5fbm9qIQqLCwsejrkyJEjQlnkm+mQJk2aSAnkc+TIIS2Qnzx5MgGwW7duwlkxp0MePhQ/Rf3zzz8TAEeMGCGcdfv2bbq6ukoL5Nu3b08AnD17tnDW2bNnaW9vLy2Qr1OnDgFw7dq1Qlnkm0C+bNmyUgL5smXLWhTIS81xsvbjY4FTzF7UixcvhAZOei/KepLdi3J1nfU6r8lLKIv8tHtRCVWPHj2I1/WaROvKlSt0cnJijhw5pATyTZs2JQAuWbJEKIskjx49ShsbGxYrVkzKdEjVqlUJgFu3bhXKIsmtW7cSAKtWrSolkC9WrBhtbGx49OhRoSySXLJkCQGwadOmwu9bAQEBzJEjB52dnXnlyhWhLJKcNGkSAbB79+7CWVognzJlSimB/E8//UQAHDlyZJy3SbKB07u9qJgFMEVI70VZR7J7UaVKDXud1yS+zIHs6RBLe1EJ0dq1awmAderUkRrIyyi8OmfOHAJyCq++ePGCGTNmlDYdMmLECAJyCq/KDuS7d+9OAJw0aZJwluxAvkmTJgTkFF49cuQIbWxsWLx4cSmBvFYySEYgv2XLlngF8kkycHpfL0pk4JRYvSgZ0yFJuRc1ZMhcAs+YOfMV4XlNsntRiRHIZ8qUiS9evBDOa9euHQFwzpw5wllaIJ8/f36p0yF//fWXUBZJ7tmzh4qisFy5clIC+TJlytBgMEhxUJAdyOfLl09aID979mwCYPv27YWznj9/zowZM9LNzY137twRzpMdyKdIkSJegbwlgZNApy7rKjAwEOHh4fj5559Rt25d4bzHjx8jU6ZMWLlyJWxsbISy/Pz8YDKZMGHCBJQvX14oCwCePn2KXLlyYcGCBVBEOdy+lub3NXfuXBQoINbv2WgEli6tATs74siRHEJ96ADgyZMnsLW1xbJly5A5c2ahLFVV8ezZM1StWhXDhg0TygIAb29vODs7Y+3atfDw8BDKioiIgL+/P5o1a4Zu3boJZQHmc0uePDnWrVsHFxcXoaxXr14hJCQEPXr0QNOmTYWyAPO5pU+fHmvWrIGdnZ1Qlr+/P6KiojBixAhUrVpVKAsw35OzZcuGZcuWwSD44n727BlI4rfffkPx4sWFsgDzPblgwYKYM2eOFJbBYMCiRYuQI0cOoSyS8PX1Rbly5TBu3DihLMD8+XdwcMDq1auRLl06YRyF5lGeT0aKorgBCAwMDISbm9tb70VFRQFA9A0hKCgI7u7ueF9baygsLAxOTk5W3+/7FB4eDnt7e+E3BE0yz00Wa+hQYMIEYOfOCFSv7iCcB8j9O5JEeHh4kvu/AUn73IxGI1RVhb29vRSezHOLiIiAra2t8M6lJtn3LUdHR+Gdy5i8pPj5l82LL0uLJwC4kwyKre1nFTi9K9GBk67PR7t2ATVrAmPHAr/8kthHo0uXLl26PidZEjh9NlN1unR9SE+fAq1bA19/DQwalNhHo0uXLl26krI+mcBJUZQeiqJcA3AqsY9F1+elnj0BgwFYsQLC85p06dKlS9eXrU/ma4bkHJL5AZSKz/YmkwnLli2D0Wi08pG9X/v27cOdO3eksMLCwvDnn39CVVUpvH/++QePHz+Wwnr58iXWr1+P+E4Zb9kCbNwIzJgBpEnz8fYbN27Eixcv4sWyVN7e3vj333+lsABgzZo1CAqKdYTZarp+/ToOHz4shQUAK1asQFhYmBTWmTNncO7cOSksVVWxbNmy6PxN0Tp06BBu3LghhRUZGYnly5dLu2/t3LkTDx8+lMIKDg7GmjVr4n3fslSbN2+OXmgjWr6+vti8ebMUFgD89ddfePnypRTWnTt3sHfv3oTv6GPL7mQ/YIHJb8xyBNOnTycAzps3L87LD+MrPz8/pk6dmjlz5hReqoAkBw8eTABcv369cNbDhw/p4uLC0qVLC2eRZKdOnQiAhw4dsnjb4GAyUyayZk0yLlUVLl++TFtbW9atWzceR2qZYrqNX7t2TTjv4MGDBMAOHToIZ5lMJpYtW5b29vZSqulv3LiRADho0CDhrPDwcObLl4/u7u4MCgoSztMMr6dNmyacFRgYyAwZMjBTpkzCSxWQ5JgxYwiAK1asEM568uQJ3d3dWbhwYeEs8o3h9c6dO4Wzbt68SQcHB1arVk04iyRbtGhBADx37pxw1smTJ6koClu0aCGcpaoqq1atShsbG96/f/8/7yfJOk7vk3aily9fpouLC/Pnzy/cXJV846W1adMm4ayLFy/S1taW5cuXF167RFXV6JozMnzyDhw4QABs0KBBvLb/8UfSyYm8d+/jbY1GI8uUKUM7Ozsp9aQ0U9zOnTsLZ4WFhTFPnjxMliwZHz16JJynFY8cMmSIcFZAQADTp0/PtGnT0t/fXzhPqwL/22+/CWc9fvyYbm5uzJEjB0NDQ4XztOKRq1atEs66ceMG7e3tWbJkSSmdS60K/K5du4Szjh8/TkVRWKNGDeF18FRV5VdffUWDwSClnpTmy9q6dWvhrMjISBYuXJiOjo5S6klp9Qv79ev33ve/uMCpevXqVBRFSgn+vXv3EgAbNmwonGU0Gvm///2PdnZ2vHr1qnDemjVrCIBdunQRzgoLC2Pu3Lnp6upKb29vi7c/d440GMi4WvrNmjWLADh06FCLWZbK39+f6dKlk/ZlP2zYMALgzJkzhbO8vb3p6urKXLlyCa84TJJdu3aVZop77do12tvb83//+5+UL/tGjRoRgJQq8EePHqWiKKxZs6bwL3uTycRKlSrRxsaG58+fF8oi31SKbtOmjXBWREQECxYsSCcnJ969e1c4b9GiRQTA/v37C2cFBwczc+bM9PDw4LNnz4TzJkyYIM2X1dfXlylTpmSWLFkYHBz83jZfXOAESX47oaGhzJkzJ93c3Pj48WPhvBkzZkirFO3v7880adIwffr0wu0FSHLo0KHxrhRtNJIlS5IFC5JxmXF49OgRkyVLxjx58kj5sv/hhx+kVYq+cuUK7ezsWLp0aSlf9g0aNCAA7t+/Xzjr8OHD0ZWiZXzZV6hQgTY2Nrxw4YJQFklu2rRJWqXoiIgIFihQgM7Ozu+dorC2FixYQAAcMGCAcFZQUBAzZszIVKlSSbGqGjduHAFw8uTJwlk+Pj5MkSIFs2bNKrzCPUn27duXALhs2TLhrNu3b9PR0ZFFihSRMm3cqlUrAuD27ds/2OaLCZzu379PAEyfPr0wv7qY0nKNfv/9d+EsLdcob968DA8PF87r2LEjAXDDhg3CWVquUbly5eI1/ThzpvmTe+zYx9uqqspvv/2WAHjgwIF4HK1l0nKN6tWrJ+XLvly5crS1teWlS5eEssg3uUYdO3YUztJyjVxcXKTY2Wi5RjLyqAIDA+np6cnUqVNLsbPRco1k5FE9ffqUyZMnZ/bs2RkSEiKcp+Uaycij0nKNihUrxqioKOE8Lddox44dwlmnTp2iwWBg9erVpUw/VqtWjQaDgadOnRLKIsnt27cTAFu2bBlruy8mcGrdujUBcOXKlR9tm1Al5Vyj/fv3EwDr168v5cs+IblGXl6kqyvZtWvc2q9fv54A2KlTJ4tZlio8PFxqrtHcuXMJgL/88otwlpZrlCZNGvr5+QnnjRo1KsnmGvXo0UPafUvLNSpRooSUL/tmzZpJyzU6ceIEFUXh119/LTXX6MyZM0JZ5Jtco++++044KzIykkWKFKGTk5OUXKOlS5cSAPv27Suc9erVK2bJkoUpUqSgj49PrG2/iMBp37590dN0okebjEYjS5UqJS3XSDOzlJ1r5OXlJZynmVkOGzYsXts3akSmTUu+fPnxti9fvpSaazR8+PAkm2vUrVu3JJtr1LhxY2m5RseOHUuUXCMZK6Q0Y3QZuUaRkZEsVKhQks41SpkypZRco19//ZUAOHHiROEsLdcoc+bMH8w1sqZ+/PFHAuDixYs/2jbJB05arpGrq6uUwEnLNRo+fLhQDmnONUqbNi3Tp0/Pl3GJDhKoIUOGEABnz54tnOXl5UVXV9d45xpt3mz+xMb1u1vLNVq7dq3FLEuVWLlG+/btE846cuQIAbB27dpJLtfo77//JgC2a9dOOCuxco1kuNJruUYeHh5Sc40mTZoknJVYuUZLly4VzkqsXKN//vlHOOv06dM0GAysUqVKnO5bST5w+uWXX6Ln7EUHTrJzjbS6RjJqNmm5RmXLlpUy/ajlGh08eNDi7S2t2XTo0CECYN26dZNsrpGMmk2yc43mz59PABw4cKBwVmLlGk2dOlU4S3auUe/evQmAy5cvF866deuWnmtkBcXMNTp9+rRQFkn++++/BCClZlNUVBSLFi1KBwcH3rp1K07bJOnAKWau0cuXL4UGTqqqsm7dukQ8CzRaKq2ukYxcI9l1jbRco/jWNbKkZlN4eDjz5s2r5xpZQTJzjbQihnquUcKVlHONqlSpkqRzjWTVNdJyjT5U18iaevXqFbNmzRqnXCNraNKkSQTA8ePHx3mbJBs4vZtrFLNyuAhpuUY//PCDkP3HlOxcI5l1jRKaa2RpzSYt12jGjBkWsyyVlmuUM2dOKV/2Wl2j1atXC2d9CblG33zzjZ5rlAAlVq7Rjz/+KJwVM9fI19dXOE/LNfpU6hpZU1qu0aJFi4Sz7t69SycnJxYqVMii6cckGzjNnDnzrbpGIgMn2blGWl0jGblGsusadenSJd51jSyt2XT16lWpuUYNGzaUlmuk1TWSlWtUsWJFPdfICpKda5QpUyZpdY3Gjx+v5xpZQXfu3JGaa/Tdd999tK6RtXTmzBmLco0SIlVV+fXXX1NRFJ44ccKibS0JnGzxiUhRlB4AeiAW4+FMmTKhSpUqGDx4sPDjMRqNqFChAlq0aIHkyZML5+XKlQt16tRBt27dhLNIonz58hg8eDAcHR2F8/Lnz4+WLVuiSZMmFm87dy5w5gxw7BhgZ/fx9jY2NihbtixmzZoFGxubeBxt3KWqKooVK4Z06dKhSpUqQlkA4OzsjHLlymHu3LlQFEUoy2g0onTp0qhUqRKKFCkilAUAKVOmRLly5TB16lThrMjISFSoUAEdO3ZE1qxZhfMyZMiASpUqYeTIkcJZUVFRqFChAmrXro1UqVIJ52XLlg01atRAv379hLNMJhPKly+PHj16wMXFRTgvb968aNSoEdq2bSucBQBly5bFxIkTYReXG10CRBKFChVChw4dUKtWLaEsALC3t0e5cuUwf/584fctk8mEUqVKoXDhwihdurQwjkLzKM8nI0VR3AAEBgYGws3NLda2QUFBcHd3R1za6vr85O0N5M8PfPcd8PvviX00unTp0qUrqUqLJwC4kwyKre0HR3d06Ups9ekDODsDEyYk9pHo0qVLly5dZn0yU3W6dMXUli3Axo3AmjWAhJlSXbp06dKlK05KMiNOISEhCA8Pl8bz9/eXxgoKCoLRaJTGk3luL1++hKqqb7326hXQsydQqxbQrJl1eTLPzd/fH7Kmwkni5cuXUliA3L9jVFQUgoJiHTm3qmSeW1hYGMLCwqTxZJ5bcHAwIiMjpfFknltgYCBMJpM0XlK+b32O55ZkAqfRo0cjX758ePz4sXDWo0ePkCVLFimJrADQt29fFC5cGIGBgcJZly9fRsaMGbF06VLhLABo06YNypYt+9YNdsQI4MULYM4cwJq5hAcOHECmTJnw999/W2+nH5CqqqhVqxZq1aol5Sa0YcMGZMuWDQcPHhTOioyMRJkyZdC6dWsp57ZgwQLkzJkTFy9eFM4KDg5G/vz5pSQ7A8CkSZOQJ08e3Lt3TzjLx8cH2bJlw7hx44SzAGDQoEEoWLAgXrx4IZx169YtZMyYEfPmzRPOAoDOnTujZMmSUoLekydPImPGjFi7dq1wFkk0atQIVapUkRIYbt++HVmzZsWuXbuEs0wmEypXrowmTZok/L71sWV3sh+wwORXWz548eJF2tvbs1y5csKXO5JvlnLKMOA9d+4cFUVh/fr1hbO0pZw2NjZSPPl27dr1n6KY58+bazZZ2zbJZDKxePHidHJyore3t3V3/h6tXLlSWlHM8PBwZsuWjalSpZJSOuO3336TVhQzICCAqVKlYrZs2aSUztBcCWQUxfT29qazszOLFy8uvHI/SXbu3JkAuHv3buGsa9eu0cbGRkpRTJKsX78+FUXh2bNnhbM0CyIZRTFVVWW5cuVob2/Pe3Gp/ptAbdq0SZoBb2RkJPPmzUt3d3cpnnx//PFHrEUxk2wdpw+daKNGjQjA4roN8dGpU6cIgE2aNBHO0qrk2tra8ubNm8J527dvJwB2795dOMtoNLJQoUJMliwZnz59StJspVK1KpkvX9xqNlmiZcuWvVUDTKRCQ0OZOXNmpkmThkFBQcJ5kydPJgDOmTNHOMvPz48pUqRgrly5GBERIZw3YMCAeNcAs1QPHz6ko6MjS5UqJSWQad++PQFw//79wlmXLl2iwWBgnTp1hLNIsk6dOjQYDFIsiPbv308AbN++vXCWyWRiqVKl6OjoKMWC6K+//iIADhgwQDgrIiKCuXLlYooUKaS4EsyZM4cAOHnyZOGsoKAgpkmThpkzZ/5goeIvLnACwJYtW8bl75cgqarKChUq0M7OTkpJ/C1bthAAe/fuLZwVFRXF/Pnz083NTUr0v3DhQgLg2LFjo1/budP8idy82bqskJAQenp6Mn369FIK52lFAefPny+c9fz5c7q7uzNv3rxSrDz69etHANy0aZNw1r179xJlJPnIkSPCWYk1knzt2jXhvN27dxMAO3XqJJyljSQ7OztLGUletWpVoowkBwQECOdpI8nTp08Xzoo5kizDA1Yzs49tJPmLCZwCAgIIgPb29nzw4MFH2ydUGzZsIAD2799fOCsyMpK5c+dm8uTJpRiQ/v777wTAidaeI3uPgoODmS5dOmbKlCk6+jeZyKJFyfLl42bia4lGjx5NAFy8eLF1d/we+fj40NXVlQULFpQSyPTs2ZMAuG3bNuGs27dv087OjpUrV5YSyDRv3pwAePz4ceEsfSTZOjIajSxcuDBdXFyiR5JFSh9Jto60keScOXMmuZHkR48exWkk+YsJnBYvXizNpDA8PJw5cuSgh4eHlDwSzUtu2rRpwlmBgYFMnTo1s2TJIiWPZNiwYQTAFStWRL+2cqX502jtzv7jx4/p7OzMokWLSrFg0exldu7cKZx1/fp12tjYsFq1alICGW1KXIa56rFjx6SPJNvb2+sjyQnU+0aSRenVq1dSR5InTJigjyRbQbJHklu3bh2nkeQvInAKCwtjpkyZCECKKe7UqVMJgDNnzhTO8vf3p4eHB3PkyCEl+h80aBABcM2aNcJZjx49opOTE0uWLBkd/YeHk1mzkiJmLTp06EAA3Lt3r/V3/o4uX75Mg8HAmjVrCmeRZL169agoihQvuYMHDxIA27ZtK5ylqirLlClDBwcHKSPJ69ev10eSrSBtJDljxowMCQkRzhs1apQ+kmwFaSPJlSpVkhLINGvW7JPMSf4iAqeJEydG5zeJMPmNqRcvXjB58uTMnTu3FAPG/v37EwA3bNggnHX//n06ODiwTJkyUi6aNm3aEAAPHToU/dqMGeaVdNZeyHfhwgUqisJ69epZd8cfUM2aNWkwGHjlyhXhrL179xIAO3ToIJxlMplYokQJOjk5SemkrFmzhgA4aNAg4SzZI8maUfnUqVOFsz6FkWRRSqyR5B07dghn6SPJ1pGlOcmfZeAEs8HvNQA3PhYMPXv2jG5ubsyTJ4+UwKl3794EwC1btgjlkGaXbHt7e1asWFHKRdOyZUsC4LFjx4SzTp8+Hb0KUlNgIJkqFdmxo3VZqqqyWrVqtLW15Y0bN6y78/dox44dBMCuXbsKZxmNRhYtWpQuLi58/PixcN6KFSsIgMOGDRPOCgsLY5YsWZg6dWrh1zX5ZiR51qxZwlkxR5JlJMTKHEn28vL6z0iySMkcSb5y5Yo+kmwFyR5JtjQn+bMMnKIPKA4jTt27dyeA6CF2kTfYmzdv0tbWllWqVJESyDRp0oQAePr0aeGs48ePEwCbNWsmnKWqKitVqkQ7Ozvevn07+vVhw0hHR9LaAxnbtm0jAPbs2dO6O36PoqKiWKBAAbq6utLX11c4T8vtGzVqlHBWSEgIM2bMyHTp0jE4OFg4TxtJ/v3334WztJHkPHnySB1JXr9+vXCW7JHktm3b/mckWZSS8kjynj17pI4klyxZMkmPJKdMmZL+/v5x2iZJB05aYbUaNWpEr6oTGThphdXOnTsnjKHp8OHDBMDWrVsLZ6mqyrJly0orrLZx48b/JPI/fUo6O5MDB1qXFbOw2vPnz6278/do/vz5BMAJEyYIZwUHBzN9+vT09PSUkhA7ZswYAuDChQuFs7SR5Pz580vJI5E9kmxnZ8cKFSpICWRatGghbST5zJkz/xlJFqXEGknu0qWLcJbRaGSRIkX0kWQrKD45yUk6cIpZWE07UVH/iMQqrPbo0SPhPNmF1XLmzPmf6L9bNzJFCjKOHYI4K7EKq8nIIxkxYgQBcNmyZcJZT58+pYuLCwsXLiwlj0QbSd6+fbtwVmKNJJ86dUo4SxtJbt68uXCWqqqsXLnyf0aSRSmxRpJ9fHyE87SR5NGjRwtnfQkjyZbmJCfZwGnfvn0E3lh0iAycVFVliRIlpBVW04YxhwwZIpwVGRkptbCalhAb06Lj5k3Sxoa0dmwTHBwstbCalhC7atUq4aynT5/SyclJmkWHlhArw6Ljxo0b0SPJshJiZY0kawmxMiw6SEaXVpAxkqyVVpBREsZkMjFfvnzSRpK10gofsuiwpkJDQ6NHkmWsSNRKK8gYSfbz85M6kqyVVthsYSXlJBs4hYWFcfLkydGF1USPOJ06dUpKz540f+GPGzdOSmE10jyaJiPXgjQnxY4ZM+at0gpNm5KZMpHWHqRRVZXbtm2TsvqFNAcz48aNk/Jlr6oqV69eLaWyNUk+ePBAyqgdaZ6mWLBgAS9fviyFd/36dSkJ4aR5xHX69OlSLDpIc1VyGV+IpHnkYsKECVIsOkizT9zq1aulsAICAjhmzJgPWnRYWzt27JAybUyap8XHjBkjZSRZVVVu2LBBirUQaV6oMGHCBIvvyZYETgrNwconI0VR3AAEBgYGws3NLda2QUFBcHd3R1za6vp0dOoUULo0sGQJ0L59Yh+NLl26dOn60qXFEwDcSQbF1tYg55B06TKLBAYOBAoUANq0Seyj0aVLly5duiyTbWIfgK4vSzt3AgcOAFu3AjY2iX00unTp0qVLl2VKMiNOU6ZMwfLlyyFj6vHhw4fo2rUrvL29hbMAYPjw4diwYYMU1oULF9CvXz88f/7c6vtWVfNoU8WKQJ065tf69++PXbt2WZ31Pu3fvx9Dhw5FYGCgcBZJdO3aFUePHhXOAoBNmzZh/PjxCA0NFc6KjIxEx44dcf78eeEsAFi6dClmzpyJyMhI4aygoCB8//33uHHjhnAWAMyYMQMLFy6EyWQSznr69Ck6deqEBw8eCGcBwLhx47BmzRoprBs3bqBnz57w8fGRwhs4cCC2bdsmhXXs2DEMHDgQ/v7+wlkk0atXLxw4cEA4CwC2b9+O0aNH49WrV8JZRqMRnTp1wqlTpxK+s48lQcl+wAKTXy2Z68aNG3R0dGT58uUtSgaLrzp27CitRsrVq1epKAobNmwonEWaq9YaDAYhru0rVpiXI2h/Nq1u1Q8//GB11rvSqtY6OTlJcW3XqtYOHTpUOCsqKoq5cuWih4eHlMUF8+bNIwDOmDFDeFJ8SEgI06ZNy2zZskkpUjl69GgCkJKA/OzZM7q4uLBEiRJSFhdo/md79uwRzrp79y5tbW35zTffCGeRZPPmzQmAFy9eFM7SHBDatGkjnEWSVapUob29vZTFBf/++y8B8McffxTOMplMLFSoEN3c3OJcpDIhWrZsGQHw119/fe/7SXZV3YdOtHPnzgTAffv2xeXvlyDdvn2bNjY2rFWrlnAWSTZt2pSKovDSpUvCWSdPniQAtmvXzur7Dg8ns2QhY8Z/X331Fe3t7aXUrfrnn38IgD/99JNwlslkYsGCBenu7i7lhrBkyRIC4KRJk4SzwsLCmDFjRmbMmFFK3apJkyYRAJcsWSKc5e/vT3d3dxYsWFBKuYeffvqJAPjPP/8IZz18+JD29vasXLmylCCtXbt2BMCTJ08KZ126dIkA2LRpU+EskqxVqxZtbGyk1K3SSvD06NFDOEtVVZYsWZIuLi5SHBDWrl1LABw5cqRwVmRkJLNnz840adJ8sHDwFxc42dnZsUqVKnH5+yVYmrWADEuUixcvSitkR5qtBWxtbXn37l2r73v6dLOR7/Xr5t81k1oZhey0mlwuLi589uyZcJ5Wk0tGITutJlfatGml1H/RanLJKGQXFBREDw8P5s6dW0r9F60mlwxzba0mlyxLFK0mlwxLlBs3btBgMEizRNFqcl21tkv4e6TV5OpobXPN90gzqXV0dJRSSXzz5s3SLFGMRiPz5cvHFClSSKklqNXkmjZt2gfbfJaBEyww+X3PiUqpbXP9+nUaDAbWr19fOIskGzRoQIPBwOtatCFQR48efau4qDUVEEB6eJDarlVVZbly5ejo6MgnT55Ynfeu/v77bwLgL7/8IpxlNBqZN29epkyZUoq1wB9//PGf4qKiFBISwnTp0jFr1qxv1eQSpXHjxhEAV65cKZz14sULurq6slixYlICmT59+kgrLnrv3j3a2try66+/Fs4i3xiHnz9/Xjjr3LlzUouLVq9enXZ2dlJManfu3Cm1uGiRIkXo6urKFy9eCOf9+eef0oqLRkREMEuWLMyQIUOsNbk+y8Ap+oAsGHG6cOECAbBatWofbWsNaf5PMlyrNf8nWfPoVatWpZ2dnZB59CFDSCcnUivALnsevXDhwnRzc5NSpG/58uWxzqNbU+Hh4cyUKRMzZMggZdpsypQpBMBFixYJZwUEBDBFihTMnz+/lCJ9AwcOJABu3bpVOMvLy4sODg6sVKmSlCDt+++/JwCeOHFCOOvy5ctUFIWNGzcWziLJunXr0sbGhrdu3RLOOnjwIAGwW7duwlmqqrJUqVJ0dnaWYveybt06AuDw4cOFs7SczFSpUkmxe5k7dy4BcPbs2bG2+2ICJ61ns3fv3o+2Tai0G0KTJk2Es0iydu3a0ubRNU++7t27W33fT56Yg6bBg82/y55H1zz5RowYIZwVGRnJHDlyMHXq1FJuCLNnzyYAzpkzRzhLs7LJmTOnlGkzzZPvr7/+Es7y8fGhs7MzS5UqJSWQ6datGwHwwIEDwlm3bt2ijY0N69SpI5xFko0bN6aiKFIqwJ84cUKal6iqqqxUqRIdHBzo5eUlnLd161ZpXqJGo5H58+dn8uTJ+fLlS+E8zZNPhitBWFgYPT09mSlTpo9acH0RgdONGzeoKIpQy5WY0ubRr1y5IpylzaN36NBBOEubR3dwcBDiydelC5kyJaldj1/CPPrUqVOFszRvq8yZM0vx5Bs/fjwBcMWKFcJZmrdV4cKFpSRpa95WMmx6Hjx4QDs7O2mj5N999x0B8OzZs8JZ58+fJwC2aNFCOIska9SoQVtbWymefLt37yYA9u7dWzhLVVUWK1aMyZIlk+LJt3LlSgLg2LFjhbMiIiKYNWtWpkuXTkpO5m+//UYAnD9//kfbfhGBU6tWraLzm0QHTto8eqtWrYRyNGnz6Pfv3xfO0ubR+/bta/V937hhNvLV4ojEmkcfN26ccJY2j54+fXop3lbTpk0jAC5YsEA4KzAwkClSpGDevHmlTJsNHjyYAPj3338LZz1+/Di6lImM0aakXMrk22+/pcFg4I0bN4Sz9FIm1lFUVBRz586dKKVMRMvSUiZJPnC6cuUKFUVhvXr1pAROdevWFVbb6F1p8+hdu3YVzhI9j/7dd2TGjG+MfNevX08AHDZsmNVZ7yqx5tFlGMe+evWKadKkYfbs2aXUNho1ahQBcM2aNcJZWm2jkiVLSglkevTokaRLmciqbXTq1CkCYNu2bYWzSL2UibW0dOlSAuDEiROFsz71UiZJPnBq0qQJFUXh8ePHhQdO+jx6/HTnjrn8gBZHGI1GFihQ4IufR7eGfv31VwLgsmXLhLO02kaFChWSMm3Wv39/AuD27duFs7TaRrJKmbRp00ZaKRNt4UyzZs2Es0hzKRMbGxveuXNHOCsplzJZvXq11FImH6ttZE196qVMknTgFHMeXTtRkYHTN998I6y20bvas2dPkplH79SJTJuW1GatVq1aRQAcM2aM1VnvKjIyklmzZpVW22jGjBlxnkdPqAIDA5kyZUrmyZNHSpL2kCFDCIAbN24Uznry5AkdHR1ZtmxZKaNNP/zwAwHw8OHDwlmJVcrk2rVrwllaKZNOnToJZ6mqyvLly0urbSS7lEmePHmklzKZPn26cFZoaCjTpUvHLFmyfLKlTJJ04BRzHl104HTkyBFhtY3elaqqLFu2rLTaRhs3biQADhkyxOr7fvSItLMjtULWsufR58+fL7W2Udq0aaXVNhozZgwBcNWqVcJZz58/Z7JkyVi8eHEpgUzv3r2l1TbSLEFq1KghnEUmTimT1q1bC2eRb0qZyKhttGPHDqm1jRKjlMmECROEs2SXMpk6dSoBcOHChcJZ8S1lIi1wAjD4Nei3GK8pAEYCeAIgDMABAAUs2OcHA6fnz58zZcqU0fPoogOnn376SZpH0J07d5gsWTL2799fOIs0V0AXNY/euzeZIgWpxUinT5+mg4ODlHl00myJ4OnpKeWGsHPnTtra2nLx4sXCWVophwIFCkiZNlu1ahUVReG2bduEs7RSDrJqG82aNYuAHEuQgIAApk2bVlopk+HDh0srZeLl5UU3NzcptY1IsmvXrnR2dpZSyuTy5ct0cnKSUsqENK/cllXK5ODBg7Szs5NSykRVVVasWJE5cuSQkpO5adMmGgwGi0uZSAmcAPwPwH0AF98JnAYCCALQCEBBAGteB1GucdxvrCNOgYGB0YnMMqbqZBRW0/T8+XMpCYGk+cMs4sbq40M6OpKjRr39+uPHj6XMo5PmnqKMXAtN9+7dkzJtRpoDDBmrLTXdvn1bSiBDmnPFZCT7apJ5bQcHB0sZSdYk89z8/f2lLJsnxd23PiQfHx8p02ak/PvWgwcPpORkkuZZBxnpLpru3LljcefSksBJoTlYsUiKoiQDcA5AdwBDAVwg2VdRFOV1kPQbyYmv2zoA8AUwkOT8OOzbDUBgYGAg3NzcYm0bFBQEd3d3xKWtLjkaNAiYOxd4+BBIkSKxj0aXLl26dOn6uLR4AoA7yaDY2hriyZgD4B+Se955PRuAdAB2aS+QjABwEEC5eLJ0fSby9wfmzAG6d9eDJl26dOnSlTRlceCkKEoLAMVhzm96V+le//R953XfGO+9uz8HRVHctAcAV0uPCQCuXbsGVVXjs6nF8vPzw9OnT6WwAODKlSuIz8hgfPT06VP4+fnFa9tZswCTCfjxx7hvI/PcHj58iKCgWDsSVhNJXLlyRQoLAO7du4fQ0FApLJPJhGvXrklhAcDNmzcRGRkphRUWFoY7d+5IYQHA9evXYTKZpLACAgLg7e0thQUAV69elXZP9vX1xbNnz6SwALn3LW9vbwQEBEhhAZB637p//z5CQkKksEji6tWr1ttZXB8AMsEcBBWJ8doBvM5xgnlUiQDSv7PdAgA7PrDPka+3eesRl3llbU7y0aNHdHNzY9OmTamqqvCcjAEDBtDe3p7Xr18XzvL29qadnR27d+8u5dzat29PFxcXPn361CJWUJA5IdySSgqXL18mAI4cOZIkhZ9bnTp1opMvRbMOHDhAxPCRE8lTVZX/+9//mCNHDkZFRQk/N83/b+3atcJZUVFRzJ49uzQfuTlz5tBgMHDPnj3Cea9evWKqVKlYp04dKdf2iBEjaGdnx/Pnzwtn+fr60snJid9//z1J8dd29+7d6eTkxIcPHwpn3b59mwaDIbr+nWhekyZNouvfiWZpdQsnT54s5TNZuXJlZsyYkeHh4cJZ27Ztiy6I+T6WsORwAA1e79gY40EA6uvnOV7/Xuyd7TYDWPaBfTrAnBCuPTwtDZyGDx9OxDAEFfkP8Pf3Z7JkyaIrG4v+Z2s+Wvv37ycp9twePHhAW1tb1q5d22LWxInmEgSW1O3UfLQ0Q1CR56bV/2rXrp1wFmn20bKzs4suZCqSp/lo/fzzz8JZqqqyaNGidHNzY0BAgPC/o+ajJaOQaWRkJLNkyUJPT08pN3LNR2vp0qUkxf7fgoKCmCJFChYsWJAmk0n4uf3yyy9vFTIVyXv69CkdHBz41VdfCWeRZOfOnd8qZCqSd/36dSqKEl3IVPS51a9fnwaDITqRWyRPK/fTo0cP4Syt3I+zszOfP3/+3u9ukYGTK8wr5WI+TgNY8fq5AuApgAExtrEHEACgSxwZcfKqi3miHh4ezJMnjxQfLc1+YtOmTcJZz58/p7OzM8uVKyfVfuLo0aMWbRcaai52aUm5q7t370otCNisWTMqisLr168LZ2n2EzLqf5Fm+wkHBwcpPlrbt2+XVhBQs59IkSKFlPpfmv2EjPpf4eHh9PT0ZJYsWaQs0Z48ebLFBQHjq4CAALq5ubFYsWJS7ls///yztPpfXl5etLOzk1b/q127dgTA8+fPC2dpMwDfffedcBZJ1q5dm7a2tlLqf+3fv/+j9b+kFsCMOVX3+veBrwOlhq+DqVWwYjmCD5xonP1oEqLg4GCmTJmS+fPnl1JHZ+jQoQQgpY6O1murXLmyxdvOmmW2V7FkJa1WtVlGHZ2bN29SURRpdXQaNmxIg8EgZdm0VrW5e/fuwlla1WYnJycp9hNa1WZtKlektKrNqVKlklI2Y8GCBW9N5YpUWFgY06VLFz2VK1pa1eZ169YJZ/n5+TFZsmT83//+JyVI69u3LwHwwIEDwln379+njY0N69SpI5xFkq1atSIAXrlyRThLmwGQYWVGkl9//TXt7Ozo7e39wTaJHThpBTCfAgiHeUVdQQv2F+fA6fnz5wTAjBkzSum1adVPV6xYIZwVGBhId3d3Fi5cWMoNYeDAgQTAnTt3WrRdRITZyNeSIsXe3t60t7dn9erVLTzK+KlDhw4EwLNnzwpnXb16lQDYsmVL4SzSbEBtY2MjpbaTZkDdp08f4SzNgNrFxUVK1WbNgHrs2LHCWVFRUcyRIwfTpk3LUM2TSKA0A+o//vhDOCskJISpUqVKkjMAz549+yxmAOKjO3fu0GAwsEGDBsJZ5Kc5A5CkLVdiavbs2QTASZq3h0CFhYUxffr0zJYtm5Re24QJEwjIcaT39/enq6srS5QoYfENYeFC86fo6tW4b/Pjjz8SkONI//DhQ9ra2rJmzZrCWSTZunVrAuClS5eEszQjV1mO9N988w3t7OykFKnUfBtlONJrvo1ubm5SDKg130YZlfQ138YMGTJIKXao+TbKnAGQVUlf82381GcA4iOZMwA3btyQOgOg+TZ+bAbgiwicjEYjs2fPTgDRlcRFat68eQTAefPmCWeFhIQwderUzJUrl5Re2+jRo4l4GLlGRZE5cpCNG8d9mxcvXtDZ2ZllypSR0mvr1asXIcnI9e7du7SxseG3334rnEWSzZs3p6IoUoxcNf+zjh07CmeRZv8zBwcHKdW2//33XwLg4MGDhbO0vK3kyZNLydvS/M+mTZsmnBUREcGMGTMyc+bMUmYApkyZQgD8888/hbMCAgLo7u7OIkWKSLlvDRgwIF4zAPGR7BmA77//ngB47tw54awrV64QAFu1avXRtl9E4LR27VqLShckRFFRUcyWLRvTp08vxf9M89FatGiRcJbWa8uXL5/FvbaVK82fIEs+/9oKyK1bt1p4pJbL19eXjo6OrFixonAWafbRAsDjx48LZ2l5W40tiVoToMaNG9NgMEix8jh+/DgBSPM/q1ixIh0dHaX4n23ZsiV6JbBomUwm5suXjx4eHlLythYtWkQAnD17tnBWYs0ArF27Vjjr3ZXboqXNAGgrt0VKmwGoVauWcBZp2QxAkg+cVFVlkSJF6ObmJiVw+vPPPwmAU6ZMEcohzb22TJkyMVOmTIyIiBDOmzZtGgFw+fLlFm1nMpEFCpCWfP4DAwOZPHlyaXlbgwcPJgD++++/wllPnjyhvb09q1atKpxFkh07diQAnjlzRjjr2rVrVBSFLVq0EM4iyXr16tHGxob37t0Tzjp06BABsFevXsJZqqqydOnSdHFx4YsXL4TzNmzYQAAcM2aMcJbRaGSuXLmYJk0aKXlbiTEDkDt37k96BiA+0lZuly1b9oufAUjygZNWyEpbhioycDKZTMyfPz9TpkwpxbV68eLFBMCZM2cKZ4WHhzNDhgzMmjWrxb22jRvNnx5L8hYnTpxIAFy9erWFR2q5Xr58STc3NxYvXlzKDaF///4EwL179wpnPXr0iHZ2dtLyttq2bUsAvHjxonDWxYsXCYBt2rQRziLJmjVr0tbWVkre1t69ewmA/fv3F85SVZUlSpSgq6urFOPwNWvWEAB//fVX4ayYMwAy8rZmzpxJAFy8eLFwVkJmAOKjYcOGSZsB8PHxoaOjIytVqiScRZJdunQhAJ44cSJO7ZN04BSzkNW9e/eEB06bNm0iAI4aNUoYQ5PRaGTu3LmZOnVqhoSECOfNnz+fAPj7779btJ2qkiVKkK/rzcVJoaGhTJs2LXPmzCml1zZ27FgC4Pr164WzXrx4QRcXF5YuXVpKkNa7d28C4KFDh4SztCXRdevWFc4iyZYtWxIAr1qy2iCeOnv2LAGwQ4cOwlkkWa1aNdrb2/Px48fCWTt37iQADhw4UDhLVVUWLlyY7u7uwkf/SXLFihUEwKlTpwpnyZ4B0FZuWzoDEB/JngEYNGgQAXDHjh3CWY8fP6a9vT2rVasW522SdOCkWVn07ds3+kRFXayalUWyZMmkLInWrCzGjx8vnKVZWcQnb2vHDvMnx5J6c3PmzCEALliwwMIjtVyalUXevHml9NpGjBhBANy8ebNwlmZlUaFCBeEs0mxlAYDHjh0TztKsLBo2bCicRZqtLAwGA2/evCmcpVlZdOnSRTiLNFtZODo6Slk4o80ADB06VDgrqc8ApE+fnlmzZpWSXC97BiC+K7fjo/jMACTpwEmzsvD29hYeOGlWFponkUhpVhbu7u4MCAgQztOsLOKTt1WhAlm6tHnkKS7SrCwyZswopdemWVksW7ZMOEuzsihUqJCUIE2zspCRt6Utia5SpYpwFvlfKwuR0qwsmjdvLpxFmq0sbGxsoq0sREqzsujZs6dw1rtWFqKlzQCMHj1aOEubAZCVtxXfGYD4KLFmADZs2CCcpc0AWLpy25LAyRafiBRF6QGgBwDDh9qoqopSpUqhcOHC8PT0FO507+zsjCpVqqBfv35COQAQERGBqlWrwsPDA+7u7sJ5qVKlQpUqVdClSxeLtjt0CDhyBNiyBVCUuG0TGhqKWrVqoXDhwrC3t4/H0VqmTJkyoUaNGmjZsqVwVmhoKOrVq4c6derAYPjgR9dqypUrFxo0aIBvvvlGOCs8PBz16tWz+DMSXxUsWBBt27ZFyZIlhbNUVUXNmjUxaNAg4SySKFGiBDJnzozs2bML59nb26Nq1ar46aefhLOMRiMqVaqE6tWrI1WqVMJ5yZMnR5UqVdCzZ0/hrLCwMNSoUQPZs2eHk5OTcF769OlRrVo1tG/fXjgrJCQEderUQaVKlWBjYyOcly1bNtSpUwcNGjQQzgoLC0O9evXw3XffQYnrl5SFUmge5flkpCiKG4DAwMBAuLm5xdo2KCgI7u7uiEtbXdZRjRrAs2fA+fNxD5x06dKlS5euT1laPAHAnWSsozKfzIiTrk9fp08Du3cDa9fqQZMuXbp06foyJX5uQVeS0bhxQJ48QOPGiX0kunTp0qVLV+IoSQRORqMRTZo0wY4dO6TwFi1ahIEDByI4OFg469WrV2jQoAEOHz4snAUAU6dOxahRoxAREfHW65cvA5s3A4MHA9aaEvf19UXDhg1x9uxZ6+zwIxo+fDgmT54MVVWFs27duoWmTZvi+vXrwlkA0KdPH8ybN08K68SJE2jXrh0ePHgghdehQwesWrVKCmv79u3o1q0bfH19hbNUVUXz5s2xZcsW4SwAWLlyJfr374+AgADhrPDwcDRs2BD79u0TzgKA2bNnY+jQoQgLCxPOevnyJerXr4+TJ08KZwHAuHHjMH78eBiNRuGshw8fonHjxrh8+bJwFgAMGDAAM2fOhIyUoQsXLuC7777D3bt3E76zj2WPy37AApNfLQteWzIqo7J3VFQUs2bNyowZM0pZMqoVX5NR1+PVq1fRK8TeXY3QujWZJQtpzVPWiq/JWCHm6+tLBwcHaZW9teJrZ8+eFc7S7FdkrRBr1KgRDQaDlMrex44dk1bZmyQrVKhAZ2dnKZW9N2/eLG2FmMlkYt68eZk6dWopK8QWLlworbJ3eHg406ZNK83bc/z48dJWiPn7+8drhVh81a9fP2mVvR8+fCjV2/O7774jAF6/fv297yfpcgTvO9GiRYvSzc1NSvE1rUKuzCDN09NTapD27jJ+Ly/S1pacPt16rFevXjFlypQsWLCglBvClxCkyVjGf+vWrSQbpGkeeTKDNCcnJylBmuaRpwdpCVN4eDjTpUsnbRm/5pEnI0h7+fIlkyVL9sUGaV9c4ITX9iuipdkYyArSNCPjyZMnC2dpNgaenp7/qbU0YADp7k5a08xdMzJeunSp9Xb6AckO0jQj4+3btwtnaUbGX1lSxj0B0oyMZQZpzZo1E84iEydI69Gjh3AWaTYydnJyklJrSQvSZLgtyA7SNCPjuXPnCmclVpAmw21BC9JkuS1oRsaxuS18cYGTjY0Nvb29P9o+odq/f7/UIK1kyZLSg7RJkya99XpQkDlosuYpG41GZsuWjRkyZJBSEHP27NnSgrSQkBB6eHhID9L++ecf4axnz55JDdK6desmLUi7ffu21CCtcePGNBgMvHPnjnCWVrVcVpBWqVIlaUHa1q1bpQZp+fLlY6pUqaRYYmkpKLKCtPTp0zNHjhxSgrRff/31kwvSvpjASbshyHJtr127Nm1tbenl5SWcpVnL/PTTT8JZmrWMq6vrf6qW//abeZrOmh6omrXMxIkTrbfTD8hoNDJ79uzSgjTNWmbJkiXCWVqQlj9/fqnWMtu2bRPO0oK0ypUrC2eRb4K0U6dOCWfduXOHiqKwSZMmwlnkG2sZGUHayZMnCYDdu3cXziLlBmmatcyIESOEszRrGdlB2pw5c4SzZAdpmrXMunXrYm33xQROWrKXDB+tK1euEADbtm0rnEWSderUkR6kvevabjSSWbOSrVpZjxVbkCZC69atkxqk5ciRQ3qQJsO1PSQkhKlSpZIWpI0cOTLJBmma/9/JkyeFs+7cuUODwSAtSGvatGmSDdI0/79nz54JZ/3zzz/SgjRVVaUGaUuWLJEWpEVERDBDhgzMnj37R4O0LyJwevz4MW1tbYV61cXU999/TwC8ePGicNbVq1cJgG3atBHOIsm6devS1taWj94ZVlq3zvwJsebCsIMHD743SBMhVVVZqlQpJkuWjC9fvhTOW79+PQHw119/Fc7SgrT06dMzPDxcOG/u3LlJPkjbunWrcNbz58/p5OTESpUqCWeRZI8ePQiAJ06cEM66e/eu9CBNURTevn1bOOvUqVMEwG7duglnkeRXX32VZIO0AgUK0MPDQ0qQtnTpUgLg7NmzP9r2iwicBg0aFJ0YLjpwevLkCe3s7PjNN98I5Wjq0KGD9CCtdevW/3mvTBnS2uks9erVe2+QJkKHDh0iAP7444/CWaqqsnTp0tKDtAkTJghnGY1G5syZU1qQ9vvvvxMAFy1aJJwVGhrKVKlSMV++fFKCtFGjRhEAt2zZIpz14sULOjk5sWLFisJZJNmzZ0/pQVrjxo2Fs0iyWbNmVBSFt27dEs46ffo0AbBr167CWSRZpUoVaUHa9u3bCYDDhw8XzlJVlQULFoxzkPZZBk4wG/xeA3DjY8FQUFAQ3d3dWbhwYSmBkxak7d69WyiHNAdp9vb2rFGjhnAWSXbs2JEAeOHChbdeP3rU/OmwZif82rVrHwzSRKhevXq0sbHhw4cPhbMOHz5MAOzXr59wluwgbcOGDdKDtHTp0kkN0hYuXCicFRoaytSpUzNv3rxSgrTRo0dLDdKcnZ2lB2nHjx8Xzrp37x4NBgMbNWoknEWSzZs3lxaknTlzJlGCNF9fX+Gsf//9lwA4bNiwOLX/LAOn6AOKw4jT9OnTCYALFiwQHjgFBQUxefLkLFq0qJRVUoMHD5YepH399df/ea9RIzJPHtKa9/dOnTq9N0gToevXrxMAv/vuO+Eskvz222+lB2l9+/YVziLJsmXL0sXFhf7+/sJZGzduJACOHz9eOMtoNDJXrlxMmzatlCBt3rx50fct0QoLC5MapI0ZM4YAuHnzZuEsLUirUKGCcBZJ9urVS1ou7f3792kwGNiwYUPhLJJs0aKF9CCtS5cuwlkkWbVqVTo4OMQ5SEvSgVNkZCQzZ87MzJkz88WLF8IDJy1I+/PPP4UxNAUHBzN58uQsUqSIlCDtl19+IQDu2rXrrdfv3CEVhbRmPbmnT59+MEgTIS1IO3funHDWjRs3CICtrJlFH4vq169PGxsbPnjwQDjryJEjST5IGzdunHCWyWSKDtLCwsKE8+bPny81SEuTJg3z5MkjNUj7+++/hbP8/Pzo7OzM8uXLC2eRZO/evaUGaTY2NtKDtBs3bghnnT17lgD4ww8/xHmbJB04rVy5kgA4bdq06BMVFThpQVqmTJmkVO7+7bffCIArVqwQzgoODmaKFCneG6T16kWmSkVas56cFqTt3LnTejv9gLQgrVq1asJZJNm5c2epQZqiKGzZsqVwFpk4QVqfPn2Es8g3QZqfn59w1qZNmwiAY8eOFc4ymUzMnTu39CDtjz/+EM7SgrTcuXNLCdLGjh1LANy0aZNwlhaklStXTjiLfBOkHT16VDhLC9Lq168vnEWSLVu2tDhIS9KBU9myZenu7s6goCDhgZPWI506daqQ/ceUqqrMlSuXNA887Wb3bpDm70+6uJDWzN2LiIhgqlSpWLhwYSkjaVqPdMeOHcJZAQEBdHR0lBakaTc7GR54Dx8+lBqktWjRgjY2Nrx//75wltYj7d27t3AWSVarVo3Ozs5SgrQdO3ZIC9JUVWWhQoWYJk0aKUHa8uXLCYDz588XzjIajfT09GSuXLmkBGlTp06VFqS9evWKyZIlkxakDRw4kAB45MgR4SwfH594BWlJOnDy9fWNnloSHTiZTCZu3bpVSrkDkvTy8uKBAweksKKiorhhw4b/BGkTJpAODqS1c/fu3LkjZbUNaQ7U1q1bJyVII801vs6fPy+FFRISwo0bN0phkeYVPjKG1knz9SwjkZk0f+EfOnRIyupO0pyXI8MnkTSf244dO6R44JHmXMm9e/dKYRmNRm7atEmKvQppHimR8WVPmmc41q1bJ6UoJGnOAz1z5owUVlhYGNevXy/tnnz+/HleuXLFom0sCZwUmoOVT0aKorgBCAwMDISbm1usbYOCguDu7o64tNX1cUVGAtmyAbVrAwsWJPbR6NKlS5cuXXKkxRMA3EkGxdbWIOeQdH0OWrMGePIE6NcvsY9Ely5dunTp+jSVZAKn8+fPQ9bo2b179xAYGCiFRRIXLlyQwAGmTgUqVQpBliwhwnkAEBUVhStXrkhhAcDVq1cREREhhRUcHIzbt29LYQHA5cuXYTQapbD8/Pzg5eUlhQUAFy9ehKqqUliPHz+Gr6+vFBYAXLhwQdp96+HDh3j58qUUFmC+J8vS7du3ERwcLIWlqiouXbokhQUAN27cQFhYmBRWWFgYbty4IYUFAFeuXEFUVJQU1suXL/HgwQPr7Oxjc3myH7DAq06bk9Tq2shwyCbJr7/+mqlSpZIyz75r1y4C4h2y9+wxZ7zlyPEDc+TIISUZUlsh+THzRWsoKiqKmTNnZunSpYWzSHMZC0VRuH//fuEsrYxF3bp1hbNI8wpJGxsbXrp0SThLWyHZoUMH4SzSXMbCwcGB3t7ewllaGYuBAwcKZ5HmFZLawhrR0lZIylhYQ5oXDWXMmJFRUVHCWdoKyeXLlwtnaWUsChUqJCU/SFs0tH37duEsrdaYrIU1Y8aMocFg+KCRd5JODn/fibZs2ZIAePXq1bj8/RKky5cvEwC///574SySrFWrFu3s7Pj48WPBHDJHjmAC4IABA4SySHMCa8mSJenm5iblRr527VoC4JQpU4SzjEYjs2XLRk9PTykrJGfPnk0AXLZsmXBWSEgIU6ZMKe1GPnz4cAKQklj97NkzOjg4sGrVqsJZJNmtWzcCkJKge/v2bSqKwubNmwtnkWTjxo1pMBikrJA8ceIEAbBXr17CWSRZqVIlOjk5SVkhuXXrVgLg6NGjhbNUVWW+fPmYOnVqKSskFy1aRACcZ82CgR9QeHg406VLx5w5c35wUOCLC5zs7OxYs2bNuPz9EizNokRGb1uzKBFt9nv1qvmTUKzYNNra2tLLy0soj3xT/VqG2S9JlilThsmSJWNAQIBwlmZRIsPsV+uRpk+fnhEREcJ5WvVrGWa/Wo80f/78UoI0zaJk27ZtwllazR5ZZr9a9euTJ08KZ2kWJbLMfjWLkjt37ghnaWUsZJn9Vq1aVZqPnGZRIsvst1ChQtLMfpctW0YgdrPfLy5wgqTCir6+vnRwcGD16tWFs0iyS5cuUgorduxIpk0bRcBeWs2eRo0a0WAwSCmsePz4camFFStUqEBnZ2cp1a+3bNkitbBi3rx5pdXsWbhwobTCiuHh4UybNq206tcTJkyQVrPn5cuXdHFxkVazp1+/ftIKKz58+JA2NjZs0KCBcBZJtm7dmgCklOi4cOECAbBz587CWSRZo0YN2tvb08fHRzhr9+7dBMAhQ4YIZ6mqyqJFizJ58uQMDg7+YLsvJnDy8fEhAObNm1dKj1RzNv/nn3+EszRn88qVKwvl+PiQ9vZk2bKbCeCD87/WlNYjbdq0qXAW+cbZ/O7du8JZmrN59+7dhbPIN6aZz58/F87SnM1HjhwpnKWqKgsUKCAtl3Dp0qVScglJc70eT09PZs+eXUrNnsmTJ0vLJQwMDKSrqytLlSol5Z78888/EwAPHjwonPX48WPa2tqyTp06wlkk2b59e2kpKFeuXJGaglK7dm3a2dnxyZMnwln79++PUwrKZxk4AegB4BqAG3ENnGbOnEkAnDlz5kfbJlSye6Tjxo2T4sc0bBjp4qLS2dlTmh9T3759pfkxaT1SWX5MrVq1IgDevHlTOOv8+fMW+zElRF9//bVFppkJkbYoYujQocJZqqqySJEiTJEiBV+9eiWcpy2KmDFjhnCWtigiS5YsUhKnNW/P1atXC2cFBwfT3d2dxYsXl+rtuWfPHuEsbVHEN998I5xFvvH2lJGCohmwi05B0aQZsH+s2O1nGThFH1AcR5xUVWXevHkJQMrQ4pIlSwiAv//+u3BWREQE06dPzxw5cgjtkYaGkh4eZPnyZtfq9evXC2Np0nqksla3/fTTTwTAQ4cOCWd5e3vT1tZW2uq2du3aEQCvXbsmnKUtipC1uk1bFCGjR7pv3z4C4KBBg4SzEmtRhIzVbdqiCFm2UbNmzXqvbZQIaYsiZNlGaYsiZNhGaYsiZK1u69q1q5QUFPLNoogWLVp8tO0XETjt3LkzOr9JtCWKqqosXLgwU6ZMKSWRbcWKFVJG0ubNIw0GlenTl2fWrFmlTBtMmzaNALhmzRrhLK1HWqJECSk3u0GDBhGAFPsJrUealBdFtG3bVjiLJOvVq0dbW1spJQi+hEUREydOFM4ymUzMmTOnvijCCpK5KEJWCoqmnj17xnlRxBcRONWsWZN2dnZSAqe9e/cSAAcPHiyUQ5qDtOLFi9Pd3T3WRLaEymQic+cmS5V6RACcNm2aMJYmo9HIrFmzMlOmTFKmDbSp3D///FM469WrV0yRIoW0HumwYcOS/KIIGf5/t27doqIobNWqlXAWqS+KsJY2bzbnZI4bN044S18UYT2NHz9eSgoKafmiiCQfOF29evWt+k2iA6e6detK65EePHiQAPjTTz8J5WzZYv7v58vXga6urlKMjNevX08AnDRpknCW0Whkjhw5mCFDBik90rlz5xIAlyxZIpwVGhrKVKlSsUCBAkluUcTz58/p5OTEr776SjiLJHv06EEAPH36tHDW3bt3k+yiiFOnThEAe/ToIZxFkl999RWdnJykGBnriyKso4iICGbIkEF4CoqmSZMmWbQoIskHTp07dyaA6Oq0Ir/0teq+3333nTBGTNWvX582NjZ8+PChUE7lymSBAkEEwL59+wplaSpXrhxdXFz48uVL4Sytuu/48eOFs7RaSmnTpmV4eLhw3h9//EEAXLBggXBWWFgY06RJI61HOnbsWALg5s2bhbO0WkoVKlQQziLJPn36SFsU8eDBAxoMBmmLIlq2bElFUXjr1i3hrHPnzhEAu3TpIpxFktWrV5e2KEJLQZG1KKJw4cLSFkXISkEhzStXM2bMaNGiiCQdOD1//pyOjo6sUqVK9ImKDJwSo7pvs2bNhHLOnDH/58uUmUKDwcB79+4J5ZHkyZMnCYA9e/YUziITp7qvDMsfVVWZP39+aT3SxYsXS18UEVt1X2vq119/JQBu2LBBOCsgIIDJkiWTtiiif//+0hZFeHl50dbWlvXq1RPOIsk2bdoQAK9fvy6cdenSJamLIrQUFBmLIrQUFFmLImSkoGhavXq1xYsiknTgNGbMGALgli1bhAdOWo+0YsWKQvb/rrTqvsePHxfK+e47MlOmSCqKLRs1aiSUpalFixZUFIW3b98WztKq+3bt2lU4izRX95XVI92xYwcBcNiwYcJZWnVfWYsili9fTgCcNWuWcJZWSylbtmxSpg2mTp0qbVFEUFAQ3dzcpC2KGDhwIAFw3759wllPnjyhnZ0da9WqJZxFkh06dEiyiyKSYgoKab5vlSpVyuJFEZYETgZ8ZjIajShWrBjq1KkjnOXt7Y0cOXLgxx9/FM7S9NVXX6FMmTLC9v/kCbB2LdCggTdy5swm5dxIwtbWFo0aNULOnDmF83x8fJAlSxb07dtXOCsiIgLJkiVDu3btkCZNGuG8ly9fInPmzOjevbtwVkBAANKmTYuuXbvC2dlZOC8kJATZs2dH+/bthbN8fX2RJUsW9OnTBzY2NsJ5kZGRKFCgABo3biyc9fjx4+j7lqIownmqqqJs2bL46quvhLO8vLyk3ZNJQlEU1K5dG4UKFRLOe/LkCbJly4Z+/foJZxmNRjg4OKBVq1bw9PQUznvx4gUyZ86MXr16CWeFhIQgZcqU6Ny5M9zd3YUwFJpHeT4ZKYriBiAwMDAQbm5u722jqioMBgOCgoLg7u6O2NomVNERpkFOjKmdmygNGwb89hvg7Q24uqpQFEXKzRUQf26JxZLN08/t8+TJZCW1+9a7LP2+9fnxPvVz0+IJAO4kg2Jra5vAY0sUyfzjy7xAAbHnFhYGzJsHdOgAmD8fcgccZf7fZLJk8/Rz+zx5+n3r82PJ5unn9nnwPrupOl3x16pVgJ8fIGG0VJcuXbp06UqSShKBU3BwMBo3bozjx49L4U2dOhXjxo1DVFSUcNbTp0/RtGlTXLhwIUH7IYEZM4C6dYHY0oyGDx+O3377DTKmcK9du4bWrVvj9u3bwlkA0K9fPyxatEgK6+jRo+jcuTO8vLyk8Dp27Ii//vpLCmvr1q3o06cPnj9/LpylqipatmyJ7du3C2cBwIoVKzBo0CAEBcU6Um8VhYWFoUmTJjh06JBwFgDMmjULo0ePRkREhHCWn58fmjRpgjNnzghnAcC4ceMwefJkqKoqnHXv3j20aNEC169fF84CgAEDBuD333+Xwjp79iy+//573L9/XwqvW7duWLlypRTW7t270b17dzx9+jThO/tY9risB+Jh8qtlwU+cOJEAuHLlyjhn0MdXISEhTJEiBYsUKSK1QvSuXbsStJ+9e81rKGNzA9E8i77++usEseIqrUL0hQsXhLO0Ug8yK0TLqMdFvqkQLaseV4UKFaTV49qyZYv0CtGy6nFpFaJl1OOSXSF6woQJ0itEyzIp79evn7R6XI8ePZJqUt66dWtCkkn5xYsXCYkm5TVq1KC9vf0HVz8n6XIE7zvR7NmzS/Msmj9/vrQK0db0LPr2W7JgQTK23WilHmRUiPbz85PqWdS7d+84exYlVPfv35daIVor9SCjQvSZM2ekVoiuVq0aHR0d+fz5c+EsrdSDrArRhQoVooeHh5R6XFqpBxkVorXig9mzZ5da6iGuFaITIq3UQ6lSpaSWejh48KBwllbqoU6dOsJZ5JtSD1evXhXO0txGvv/++w+2+eICJwAcO3bsR9snVKqqMl++fEydOrUUzyKt+OD8+fMTtJ/bt0lFIRcu/HCbiIgIpkuXjrlz55ZafHDTpk3CWVrxwbJlywpnkW+KDx45ckQ4y8vLizY2Nqxfv75wFvmm+OCNGzeEs7Tig506dRLOIs3FB+3t7enj4yOcpRUf/OWXX4SzVFVlsWLFmDx5cikVotesWUMAnD59unBWVFQUs2TJwsyZM0v1v5Qxu6H5XxYtWvSzmt2IizT/y09pduOLC5zs7e357Nmzj7ZPqLRy+MOHDxfO0srhW6P4YO/eZKpUZGwdW60c/uzZsxPEiou0Hqms4oPTpk0jAK5du1Y4Kzg4mO7u7ixZsqSUm92gQYMIgPv37xfO0nqktWvXFs4iyY4dOxIAL1++LJx1/fp1AmC7du2Es0iyXr160ooPHjp0iAD4888/C2eRZJkyZaT5X27YsEGa/6XJZGLOnDml+V/+/vvvBMClS5cKZ1lzdiMuGj16tPTZjY/5X34xgZOW29GmTZuPtrWGateuTTs7Oz59+lQ4a//+/VYphx8YSLq6kkOGfLiNqqosWbKktHL4a9euJQBOmzZNOMtoNDJbtmzMmDEjIyMjhfNmz55NAFyxYoVwVkhICFOmTMnChQtLudkNHz6cALhz507hLC3frlq1asJZ5BtrpXPnzglnafl2LVu2FM4iycaNG9NgMPDBgwfCWSdOnCAA9u7dWziLNFsrOTs709/fXzhLs1aSMbuh5dulSZNGSr6dtWY34qJPdXbjiwmc2rVrJy1JTzP7lRWkaWa/Xl5eCdrP9OmkrS35+PGH22hmyf37908QK64qV66cxeXw4yvN7PfXX38VztLMftOlSyc1327x4sXCWVqPNF++fFKCNM3sd+vWrcJZ/v7+dHZ2ZqVKlYSzyMTJt2vSpIlwFvnG7FeGtZJm9tutWzfhLPJNvp2M2Q0t327EiBHCWdac3YiLPtXZjS8icHr+/DkdHByEm/xq6tGjhzSz37t371JRFDZv3jxB+zEayWzZzN50salp06Y0GAy8f/9+gnhx0alTpwiAvXr1Es4iya+++kqa2e8///xDABw9erRwlmb2KyvfbsmSJQTAefPmCWdFREQwQ4YM0sx+J02aJM3sNzAwkK6urixTpoxwFkn+9NNPBMDDhw8LZ3l7e0s1+9U6zjLMfi9fvkwA7Nixo3AWSdaqVeuzm92Iiz7l2Y0vInAaP358dGK46MBJW+5aoUIFoRxNffv2tYrZ799/m//Dp059uM3Dhw9pY2Mjzez3u+++o6IovHXrlnDW+fPnCYBdunQRziLJr7/+WprZ765du6Sa/RYpUoQpUqSQ0iNduXIlAXDmzJnCWVFRUcyUKROzZs0qJd9u+vTp0sx+tXw7WWa/v/zyCwFwb2w1T6wkHx8f2tvbs2bNmsJZJNmpUydpZr9avp0ss19rzW7ERbJnN8qWLRvn2Y0kHzhpzuZZs2aVEjhNmTJF2nJXrUdaqlSpBO/rq6/IcuVibzNgwABpy10fP35MW1tbactdv//+e2nLXa9cufLR5a7WVJ06dWhnZ8cnT54IZx04cIAAOHDgQOEsVVX5v//9j25ubgwKChLOW7duHQFwypQpwllGo5HZs2enp6enlHy7OXPmEACXL18unBUaGkoPDw8WLFhQSpA2cuRIAuC///4rnPX8+XM6OjqyatWqwlkk2b17dwLg2bNnhbOsNbsRV8mc3Th58qRFsxvCAicA3QBcAhD0+nEcQK0Y7ysARgJ4AiAMwAEABSxkfDRwWr16dXTeiujASfZy1xkzZhAAV61alaD9XLhg/u/+9deH27x69YrJkydnsWLFpNzshg4dSgDcvXu3cJavry/t7e1Zo0YN4SyS/OGHHz663NVaunnzJgGwdevWwlkk2aBBA9rY2PDRo0fCWceOHSMA9uvXTziLJMuXLy+tmOfff/9NAJwwYYJwlslkYu7cuZkuXTopycULFiwgAC6MreaJlRQeHs40adIwb968UqZyx40bRwDcsmWLcJaWb1exYkXhLNJ6sxtxkezZjVatWlk0uyEycKoHoDaA3K8f4wBEasERgIGvA6pGAAoCWPM6iHK1gPHRwElb7url5SU8cJK93DVHjhzMkCFDgnuk339PZspExhbryV7umipVKhYoUCDJLXd98eJFnJa7Wks9e/YkAJ4+fVo4S+uRNmvWTDiLJJs3by6tmOfp06cJicU8q1SpQicnJ7548UI4a/v27QTAUaNGCWepqsqCBQtKK+a5bNkyQmIxzwwZMjBHjhxSgrTJkycTANevXy+cZc3ZjbgoMWY36tatG+dtpE7VAfAH0PH1aNNTAANjvOcAIABAFwv2F2vgpC137dOnT/SJigycKlasKG25q7XsJXx9SXt7cuLED7eRvdx10aJFBMA//vhDOEv2clfdXsI60uwlGjRoIJxFftn2EtbUnj17CIBDYqt5YiXJLua5atUqAuCMGTOEs6Kiopg5c2ZmyZLls5rdiItkz24MGTKEALhnz544byMlcAJgA6AFgAgA+QFkfw0t9k67zQCWxbIfh9fBkvbwjC0Y0pa73rlzR3jglFjLXRNqLzF6NOnsTMa2kExf7modRUVFSS3mqdlL/BXbHKyVFBwcTDc3N/7vf/9LcsU8nz59KrWYp2YvceXKFeGsa9euEQDbt28vnEW+Keb5OLaaJ1aS7GKepUuXllbMc/369QTAyZMnC2fFLOYpI98uMWY3LM23Exo4ASgE4BUA4+vRpNqvXy/3GprhnfZ/ANgZy/5Gvt7urceHPqj37t2LnkcXHThFRERw5cqVUlaAkebVFH/++WeC9hEeTqZLR3btGnu70NBQLly4UMpyV9K8wk3G8DNp9pOaPXu2lOWuqqry2LFjUqYESXMV3BkzZkjpkaqqyj179kgJZEjzSqlZs2ZJCdJMJhO3bt0qpZYSac7vkFFckDRPL61du1bKogiSvHXrlpQvRNKc37R06VIp5tmk2fZHxgpI0jwq8/vvv0uZ3SDNydObN2+Wwnr58iVnzJghZXZDVVUePHjQYusYSwInhebgJc5SFMUeQGYAyQE0BtAJQOXXvx99HTg9jdF+AYBMJGt+YH8Or0edNLkC8A4MDISbm1usxxIUFAR3d3fEpe2XohUrgLZtgWvXgHz5EvtodOnSpUuXrk9fWjwBwJ1kUGxtbS3dOclIAHde/3pGUZT/AegDYOLr19LBnOukKQ0A31j2FwHzdB8AQFEUSw9J12uRwG+/Ad98owdNunTp0qVLlwgZrLAPBeYRo/sAfAB8Hf2GeXSqMoBjVuDEqlu3bolGADBPbT58+BBhYWFSWKqq4vbt23Fqf/QocO4c0Ldv/Jn3799HVFRU/HdggSIjI/HgwQMpLAC4c+cOTCaTFFZwcDCePHkihQUAt2/fhqWjx/GVn58fXrx4IYUFmK9tWefm4+ODoKBYO5tWlaz7FgB4eXkhNDRUCouk1HN78OABIiIiPt7QCjIajbh7964UFkncvXsXRqNRCi80NBTe3t5SWCRx+/ZtqKoqhfXy5Us8e/bMejuM6wPAeAAVAWSFOddpHAATgK9fvz8Q5rynhjCXI1gFAeUI3p2T1BIGp0yZIiU/onr16syUKZMUP7KdO3fGOamucWMyb14yvgvJtCTuQoUKSVmNtmLFChoMBm7btk34/02rEF21alWqqiqcN23aNNrZ2fHYsWPCWVqF6BYtWkhL4nZ0dJSyGk1L4u7Vq5eU/1vHjh3p6uoqZTWaViF69OjRUv5v9erVY9q0aaUs0Dh8+HB0yQAZ51amTBnmypVLygKNDRs2UFEUKQWRtSTusmXLSvn8z5s3jzY2Nty3b59wluZ/+e233wrlaBo9ejTt7e158eLF974vso7TIgAPYJ5aewZgjxY0vX5fK4D5FEA4gIMAClrIsDhwatmyJSHJs0irEN2hQwfhLJKsXbt2nDyLHjwgDQYyIaVNkrJn0V9//UUAnDp1qnCW0WhktmzZmDFjRikrVmbPnk0AXLFihXBWSEgIU6ZMycKFC0v5QhwxYgQBcMeOHcJZz549o4ODA6tVqyacRZLdunUjAJ47d0446/bt21QUhS1bthTOIskmTZrQYDDwwYMHwllaiZrevXsLZ5FkpUqVpJWo2bp1KwFw7NixwlmqqjJfvnzSStQsXryYAKQsmohLiZokb7ny7ona2dlJ8yzq3LkzAXwwarWmbty4QQBs06bNR9v+9BOZPDmZkNImSdmzqFy5cnH2LEqoNm3aFF3ZXrRMJhNz5crFdOnSSRkBnT9/PgFw8eLFwllhYWFMkyYN8+XLJyVIGzt2LAFw69atwll+fn50dnZmpUqVhLNIsnfv3gQgZRXhgwcPaDAY2LhxY+Es8k2Jmtu3bwtnnT17NlFK1Dx79kw4S5vd+FJL1HxxgROSuGfRmTNnYm0XHGwOmgYMiD/rzp07VBSFLVq0iP9OLJDWI/0UPYsSqsqVK9PJyYl+sRXSspK2bdtGABwzZoxwlqqqzJ8/P1OnTs2wsDDhvCVLlhAA582bJ5wVERHB9OnTM2fOnFKmqSdOnEgA3Lhxo3BWQEAAkyVLxrJlywpnkeRPP/1EADx8+LBwlpeXF21tbaVN97Rt21ba7MalS5cIgJ06dRLOIslatWrFaXbDGtq3bx8BcPDgwcJZqqqyePHiH53d+GICp2fPnhEAc+XKJdWzSEbtC82zqEKFCh9tO2cOaWNDJqS0SZ8+fQhJnkVaj/RT9SxKiM6fP08A7NKli3AWac63c3BwkNIj3bVrFwFw2LBhwlmqqrJIkSJMkSKFlB7pn3/+SQCcOXOmcJaWb5c1a1YpOTnTpk0jACn1iLR8u+LFi0sZJRw8eDABcO/evcJZWr6drNmNjh07EgAvXboknKXl27Vt21Y4iyS//fZbabMbWr7dx2Y3vpjASatGOm3atI+2TahiehbJuNnF1bPIZCJz5yabNo0/S/MsKl26dPx3YoF+/vnn6KR+0YqPZ1FC1L59ewKQUnwwsfLtnjx5Ipx14MABAuDAgQOFs7R8Ozc3NwYFBQnnJeV8uzlz5hAAly9fLpwVEhJCDw8PFipUSM+3S6C02Y2zZ88KZ32qsxtfROCkqioLFSpEAFJu5J+qZ9H27eb/4tGj8ef99ttvBMDVq1fHfydxlOZZJKtHGh/PovjKx8eH9vb2/Oabb4SzyE83384aatCgAW1sbPjo0SPhrKNHjxIAf/zxR+EsMmnn2+XOnZvp0qWTklz8xx9/EAAXLVoknJWU8+202Y2KFSsKZ5FvZjdOnDghnGVJvt0XETgdPHjwo/Ys1lSpUqWk9UjXrVsXXV7hY/r6a7JkSTK+17LRaGT27Nnp6ekppUc6d+5caT3S0NBQenh4WOxZFF+NHDkyyebb9ejRI075dtbQ3bt3qSgKmzdvLpxFkk2bNqXBYOC9e/eEs06dOpVk8+3++eef6PIKoqWqKgsUKMBUqVLp+XYJ1KRJ/2/vvMOjqLow/s5uekIKISAt9A6hSq9KkV5UQIpSlC4gUqQKioDSQUBEBUSQqnQUpDcRpIXeIUACAdJ7dt7vj82EyAdkN+y9gc28z5NH3J2d38zN7OTMuee+5xsC4Lp164SztNmN6tWrC2eR1tXbZYnAqW3btjQYDFICp8OHDxMABw8eLJSjqXbt2nR3d2dYWNhztwsMNP8Gly/POGvDhg0EwEmTJmV8JxbKZDKxRIkSzJUrl5Qn0h9++IEAuGjRIuGs+Ph45sqViyVKlJBys5s0aZK0eruwsDC6u7tbVG9nC33yyScEwEOHDgln3bx5k0ajkW3bthXOIsnOnTvbbb1d48aN6eTkJMUDa8eOHQTAMWPGCGepqsoKFSpIq7dbvny51Ho7f39/afV2Mmc3oqKirJrdsPvA6dq1azQYDGzTpo2UwKlDhw5UFIVXr14VyiHJo0ePEgD79++f7rY9epB585Ivkihq0KABXVxc+ODBg4zvxEJt27aNADhhwgThLFVVWbZsWfr6+jI2NlY4b+nSpUSK4Z9oya63mzZtmkX1draQ9kRatWpVKVnC4cOHEwD37t0rnJUV6u26d+8unEWSzZs3p6OjI+/cuSOcZc/1dtbMbryoZM9uWFtv90oGTgD6AzgH4EJ6wdCQIUMIIHWVj8jA6datWzQajWzTpo0wRlp16dKFANJ1ZQ4JIZ2dyRcpXTh58iQBsFevXhnfiRVq0qSJtCfSv/76iwA4evRo4SxVVVmxYkV6e3sz+kWMtCyU7Hq7AgUKWFRvZwvNnj2bALhixQrhLK3ermLFinq93QuqV69eBMCTJ08KZ128eJEA2KVLF+Es0r7r7WrVqmXR7IYttH79egLg5MmThbMyUm/3SgZOqQeUTsYpMjKSnp6efP311xkeHi48cBoxYgQBcPfu3cIYmu7evUtHR0c2a9Ys3W0//5x0cyNfxLy2e/fuBMAzZ85kfCcW6ty5cwTAbt26CWeRZIsWLejg4CDliVSrtxs2bJhwFmmut8uWLZuU2r61a9cSAKdOnSqclZyczCJFijBPnjxS6+0saWf0osqserutW7cKZz148IAuLi6sX7++cBb5uN7u6NGjwllavV379u2Fs0i59Xba7MaAAQOEs0iyfv36dHV1lTK7odXbWTO7YdeB09y5cwmAv/zyS+qJivoDEhMTQx8fH5YvX17KzW7s2LGpmbTnKS6O9PMjLZjNe6bu3btHZ2dnNmrUKOM7sUJ9+vQhAJ44cUI469KlS1QUhZ06dRLOIsl27drRaDTy5osYaVko2fV2derUobu7u5T2Ehs3biQAfvXVV8JZJpOJJUuWlNZewp7r7SZPnkwAXL9+vXCWVm9Xq1Yt4SzSvuvtLJ3dsIVkz25kpN7OmsDJgFdMd+/eRYECBfDuu+8KZ129ehVeXl4YPHgwFEURzgsJCUG5cuXQsGHD5263fDnw4AEwaFDGWZcuXUL27NkxePDgjO/EQpHE/fv30aBBA1SoUEE4Tzu3QS8yQBYqOTkZ4eHhaNeuHfz9/YXzrly5Ah8fH3z88cfCWVFRUYiLi0O3bt3g4+MjnHfz5k34+vqiV69ewlkhISFwcHBAv3794OzsLJx3+/Zt5MmTB507dxbOunHjBjw8PDBo0CAYDOJv8cHBwShevDhatGghnHX58mX4+PhIuW8BwL1791CtWjVUr15dOOvixYvw9fWVcm6qquLhw4do3rw5ihcvLpyn/d5k3JPj4uIQFRWFzp07I2fOnEIYCs1ZnpdGiqJ4AoiIiIiAp6fnU7dJSEiAs7MzIiMj4eXlhedt+6IymUxQVRWOjo5C9v+ktHN7lkigXDmgSBFgw4YXYyUmJsLBwUHKzRVI/9xeVZZsnkwWSSQmJurnZgPJPLeX7b5lSyUlJcFgMMBoNErhyf5uOzk5SXlQ13j2eP1nhKfFEwC8SEY+b1uHFzy2TJHMwTcajdK+oED657ZjB3D2LDBv3ouznJycXnwnVkjm700mSzZPJktRFP3cbKSsfN+ypWQFg5rs9RqRzbOnc3vlpuqyumbOBCpWBOrWzewj0aVLly5durKe7CJwSkpKQp8+fXD8+HEpvJ9//hnz5s1DYmKicFZUVBR69+6N8+fP49w54I8/gCFDAFGZ3Hnz5mHx4sUwmUxiAGl09+5d9O/fH9evXxfOAoApU6Zg1apVUljnz5/H0KFDERwcLIU3duxYbNmyRQrr0KFDGDduHB4+fCicRRKffPIJ9uzZI5wFANu2bcPkyZMRFRUlnGUymdCvXz/8888/wlkAsHLlSsyePRvx8fHCWXFxcejduzcCAwOFswBg0aJFWLRoEZKTk4WzHjx4gL59++LKlSvCWQAwY8YM/PLLL5BRVnP16lUMHjwYQUFBwlkAMGHCBKxfv14K6/jx4xg1ahRCQ0NffGfpVY/L/oEVTX61KvhFixZJ9bXJnz+/NF8bzWl1xYoV/OgjMnduMiFBDEtzWpXlazNq1ChpvjbBwcF230dOlq9N69atpfnaHDhwIFP6yMnwtdH6yMnytSlWrJi0PnILFy7MlD5yMlYRan3kNm7cKJz18OFDqX3kBg4cKK2P3PXr1y3uI2cLvffee8917bdrO4KnnWiFChWkOa2uXLmSkNjZvGDBgsyXLx/v3EmkszMpsjOKZvUgq7N59uzZGRAQINXqwR47m2tWDzI6m1++fFlqZ/N27dpZ1NncFtKsHgYOHCicRZqtHtzc3KT0kdOsHr788kvhrLRWDzL6yP34448EwIULFwpnxcfH87XXXmOxYsWkWj389ttvwlma1UONGjWEs8jHVg8HDhwQztKMrFu3bv3MbbJc4ASAQ4cOTXf7F5WqqqnmgzI6m2vmg19//TW/+IJ0dSVF3WOTk5NZtGhR5s6dmwmiUlpptGDBAgLg4sWLhbNiY2OZI0cOli5dWkqQNmHCBALgli1bhLMePHhAV1dX1qtXTziLJAcMGEAAPHLkiHDW1atXaTAY+O677wpnkWT79u2lt1bq16+fcBb5uLVSaGiocNbWrVsJgOPHjxfO0pr9ym6tNG/ePOGshIQE5smTh4ULF5bSWmnq1KkEwDVr1ghnZVZrpT179jz3mLJU4GQwGKSYD2p2+J988olwFvnYDj84+BFz5SL79BHH0uzwZTX7LV68uLRmv99//z0B8IcffhDO0qYNSpYsKeWJ9KuvvpLW7PfRo0d0c3OT1ux30KBBBMDDhw8LZ924cYNGo5Ht2rUTziLJTp06UVEUKeaDx48fl9rst2HDhnR2dpbSWklruzV27FjhLFVVWb58efr4+EhprfTLL79Ia/abmJjI/Pnzs2DBglJKUGbMmEEAXLlypXBWVFQUvby80m32m2UCJ+2GIOtm9/bbb0ubNvj7778JgB9//DEXLzb/pi5cEMerW7cuXV1dpUwbbNq0iQD4xRdfCGepqspSpUrRz89PyrTBTz/9RAD87rvvhLMSEhKYO3duFi1aVEqQNmXKFALgunXrhLPCw8Pp4eHB6tWrC2eR5KeffkoA3L9/v3BWUFAQHRwc2KpVK+EskuzatSsB8Pz588JZp06dIgD27NlTOIsk33rrLTo5OTE4OFg4a+fOnQTAkSNHCmepqspKlSrRy8uLUVFRwnm//vorAXDGjBnCWVr/y/z580sJ0ubMmZPabeR5eiUDJ1jR5FdT7969CYA7d+5Md9sX1bVr12gwGPjOO+8IZ5Fkhw4dqCgKL1++woAAsnlzcaxjx44RAPv27SsOkkZvvPEGXVxceP/+feGsbdu2EQA///xz4SxVVVmuXDn6+voyJiZGOO/nn38mAH777bfCWYmJicybNy8LFSokZdpg2rRpBMDVq1cLZ6Xtfylj2kBm/8s7d+5Y3P/SFpLZ//Ls2bOZ0v/y9u3bwlky+1+qqsrXX39dWv/LNWvWZEr/y/RKUF7JwCn1gCzMOIWFhdHNzU14k19NgwcPJgAePHhQOEvrWdSmTRv+9Zf5tyQyNuzcuTMB8ILIlFaKTpw4QQD86KOPhLNIslGjRnRycmJISIhw1o4dOwiAo0ePFs5SVZUVKlSgt7e3lCfS5cuXEwBnzZolnJWUlER/f/9MWbkqWpm1cnXHjh3CWdrK1caNGwtnkY9Xrp48eVI4KyusXJVVglKjRg26u7u/dCtXs0Tg9M0336QWhosOnMLDw5ktWzZWq1ZNys1u6NChBMB9+/axeXMyIIAUhb19+zYdHBzYokULMYAn9MEHHxAAz549K5wVGBhIAOzRo4dwFkk2bdqUjo6OvHv3rnDW7t27CYAjRowQzlJVlVWqVJG2cnXVqlWZsnI1MTFROO/bb78lAC5btkw4S1u5Wq5cOSn3rXHjxtntytW+ffva7cpVmSUosleu1q1b1+KVq3YfOCUmJjJfvnwsUKCAlMBp+vTpBMBVq1YJ5ZCPpw0qV67Mc+dUAuSSJeJ4n332GQFw165d4iApunv3Lh0dHdm0aVPhLJLs0aMHATAwMFA469y5cwTADz74QDiLJFu2bEkHBwcGBQUJZ+3bt8/uV65+8803wln6ylXbSV+5ahvpK1cfy+4DpxUrVqSm30QHTtq0gb+/v5Rpg9mzZxMAly9fzj59yFy5SFELz6Kjo+nj48Py5ctLudmNHj2aALh9+3bhrJCQEDo5ObFRo0bCWSTZq1cvadMGFy9eJAB26tRJOIsk27RpQ6PRKHXl6uDBg4WzyMcrV2VMG2SFlauLFi0SztJWrpYoUcJuV67WqlVLOIt8vHL10KFDwlk3btygwWBg27ZthbNI61eu2nXglHbaICgoSHjgtHr1agLgtGnThDE0JScns1ChQsybNy+DgxPp6kqK9KubN28eAXDp0qXiICmKiYmhr68vy5YtKyVI+/zzzwmA27ZtE866f/8+XVxc+MYbbwhnkWS/fv0IgEePHhXOunLlChVFYYcOHYSzSPKdd96hwWDgtWvXhLPSrlyVoXr16kkzvNy8eXOmrFyV4aVkzytXv/76a33lqg2UkZWrdh047d+/n4C5BYN2oiIDp+rVq9PDw0PKtMG6desIgFOmTOFXX5EuLqQov7q0LRhkTBt89913BOS1YPDz82OpUqWkBGlffPEFAXDTpk3CWbJbMHz88ccE5LRg0FauymrBoK1cvXLlinDWv//+K33lqrOzs9SVq+PGjRPO0lauZs+eXV+5+oLSVq7KLEGpUqXKS7ty1a4DJ60Fw40bN4QHTloh26BBg4Ts/0nVrl2bbm5uDAl5xNy5yV69xLG0FgwTJ04UB0mR7BYMP/zwAwHw+++/F86Kj49nrly5WLx4caktGH7//XfhLK0FQ82aNYWzyMctGGSvXJWhLl26EIAUw8uTJ09KXbnauHFju125WrFiRWmGl1oJisyVq7JKUGSuXNVKUKxduWrXgdPp06e5YMGC/5yoqMApOjqa8+fPlzJtQJJHjhzhkiVL+PPP5t/MuXPiWOHh4Zw2bZqUFgyqqnLPnj1SnmxI89TZ5MmTpUwbmEwmbtu2jZs3bxbOIs2rICdNmiTliTQ5OZnr1q2T4jdEmjNOU6dOlfJEmpCQwGXLlkmZ7iTNiwfmzp0rhRUbG8vvv/9eir0Iac6myXDlJ82Zi1mzZklZuaqqKg8ePMjly5cLZ5HmbPLXX38tZeWqqqrcsWOHlAcw0mxVMWnSJCkrV00mEzdu3Gh1La01gZNCc7Dy0khRFE8AEREREfD09HzutpGRkfDy8oIl274qIoFKlYDcuYGtWzP7aHTp0qVLly77lxZPAPAiGfm8bQ1yDkmXpdq7Fzh5Evjkk8w+El26dOnSpUvXk7KbwCksLEwaKzIyEsnJyUL2PWMGULYs0LDh49dknlt4eDhUVZXGk31usjKsJKWem0xWUlISoqKipPFknlt8fDzi4uKk8WSeW3R0NJKSkqTxZJ5bREQETCaTNJ7s77Y937dknZuqqoiIiLDJvuwicHr06BH8/f0xbtw4KbyxY8eiaNGiCA0Ntel+L10CNm82Z5sUxfzajRs3kCdPHsyePdumrGepb9++KFu2rJQ/HsePH0fu3LmxbNky4SwAeOedd1CzZk0pN9jt27cjf/782LJli3AWSdSrVw8tWrQQzgKAlStXwt/fHwcPHhTOSkpKQkBAALp37y6cBQDz589HgQIFcPbsWeGsqKgoFClSBMOHDxfOAoCJEyeicOHCuH37tnDW3bt3kTdvXnz99dfCWQAwZMgQlCxZEpGRz51hsYnOnTuH3LlzY9GiRcJZAPD++++jcuXKUoLe/fv3I2/evFi3bp1wFkk0bdoUDRs2lBI8/f7778ifPz927dr1wvt6aQInRVH6K4pyDsA/1n72hx9+QHR0NCpXrizgyP6rhw8f4ocffkC+fPng5+dn033PmgX4+QGdOj1+bebMmYiPj8frr79uU9bTdP36daxZswYlSpSAq6urcN7UqVORmJiIqlWrCmcdP34cO3fuREBAAIxGo3De1KlTkZycjCpVqghnbd++HYGBgahQoYJwFklMnToViqKgfPnywnkrV67E7du3UbFiReGspKQkzJw5E25ubihRooRw3qJFixAWFibl3CIjI/Hdd9/Bz88PefPmFc6bM2cO4uLipFz/d+/exS+//IIiRYpIqXWdPn06EhISpNy3zp07h82bN6NMmTJwdHQUzps6dSqSkpKk/L05cOAAjhw5ggoVKkDRMgWCRBLffPMNSNrm+5Ze9bjsH1jYqy5tFbyvr680F9kvv/ySALh+/Xqb7jckxOzblNbw8sGDB3Rzc5O2HFzz7JGxHFzz7JG1HLxjx45Wuci+iDTPnl4i/STSSPPskbEcXPPskbUcvFy5cvTx8ZHSyFjz7Jk9e7ZwVtq2UTKWg2uePTKWg0dERNDT01NaI2PNs+evv/4Szrpz5w4dHR2lNTLu3r27tI4EZ8+eJSQ2Mm7RogUdHBykNDLeu3cvkU4jY7u2I3jGiUqx+o+NjRVm9T9yJOnhQT569Pg1UUHa06QFabKs/rUgTYbV/7Vr12g0GqVZ/etBmm2kBWljxowRzkprrCjDsycrBGm//vqrcFZERAS9vLxYqVIluw3SmjRpIpxFPg7STp06JZylBWldu3YVziIfB2nPaxuVZQKnR48eEQD9/PykGCtq7te2DtLCw0lPTzJtD9XY2Fj6+fm98pm0p8negzSZ/ZhkBmnHjh3TgzQbyJ4zaQkJCcyXLx8LFixot0GaPWfS7DlISy+TlmUCp2XLlkmz+k9OTk5tUWLrIG3KFNLJibxz5/FrooK0p0l2kKa1KJHRNFML0mrXri2cRT4O0g4fPiycJTtI01qUyAzSevfuLZxFPg7S7t27J5xlz5m0pUuXEgDnzJkjnGXvQZqnp6e0TNrw4cMJgDt37hTO0oK0t956SziLtDxIyxKBk6qqrFy5MgHwxo0b6Y3dC0vrI2frzuaxsWSuXGTa7gjJycksWrQoc+XK9Upn0p4mLUgrWbKkHqS9oOw5k6YFaZcuXRLOyqwgzR4zaWXLltWDNBtID9JsI2syaVkicNq3b19qfZPIJr+k+YZQrVo1uru781HaIiQbaMEC0mAgL19+/JqoIO1p0oI0EZm0p2nBggV6kGYDyQ7SBgwYIC1Iu3r1qh6k2UgNGjSQFqRt3bpVD9JsoISEBObNm1dakDZ16lQ9SGMWCZxatmxJg8EgJXDSgrTnVeRnRElJZKFCZPv2j1/TgjQPDw+bB2lPkxakTZ48WTgrs4I0GX20MitI27hxo3BWaGgoXV1dpQdpMqY7tSCtXbt2wlmk3CDt6NGjmRKkyZju1IK0sWPHCmdlVpAmo7dhZgVpK1euFM7SgrTKlStbFKTZfeCkFXu1b99eSuDUsmVLGo3G51bkZ0QrVph/A8ePP35NVJD2NKUN0sLCwoTz1q5dmymZtPj4eOE8ew7SJkyYIC2TpgdptlP79u3tOkhzcXHRg7QX1JIlS+w+k2ZpkGb3gVOPHj0IgAcOHBAeOInytlBVMiCAfHLq1ZJlk7aSFqQNGTJEOEtVVVatWlVaJk0L0mRl0ooUKSI9SPvxxx+Fs2JjY5kjRw7pQZrMTFqdOnWEs8jHQdrff/8tnJUVgrQ+ffoIZ5GZE6TJWPCkqirLlCkjPUiTmUkrVKiQxUGaXQdOaQ3ItBMVGThpQZqtDci2bDGP/p49j1/L6gZktlLaIE1mJk1mkJY7d24pQdr8+fOlZdJiYmL0IM1G6t+/v55Js4FkB2n169eni4sL79+/L5y1ZcsWqZm0lz1Is+vAKa23hejASaS3Re3aZPXq5syTpqxuQGYraUGa7EyazCBtypQpwlmyM2lakCYjk6YFaaVKlZIapG3atEk4K7OCNJmZtLfffls4i3wcpF1Ou3pHkP755x8CYN++fYWzyMdBmoxMmhakycyk+fr6WhWkWRM4OeAV0507d1C5cmW88cYbwju0X7hwAd7e3hg2bJhN93vggPlnw4bHzXxVVUVISAiaNGmCgIAAm/KeJu3chg4dKpwVHx+PR48eoWPHjvD39xfOu3z5Mry9vTF48GDhrLCwMCQkJKBXr17w9vYWzrt+/Tpy5MiB3r17C2fdvn0bDg4OGDRoEJydnYXzbt26hfz586Nz587CWVevXoW7uzuGDh0Kg0F8y847d+6gbNmyaNasmXDWxYsX4eXlZfP71tNEEsHBwahbty6qVasmnHf+/Hkh9+SnKTk5GaGhoWjXrh2KFi0qnHfp0iV4e3tjyJAhwllRUVGIjo5Gt27dkDNnTuG8a9euIXv27BgwYIBwVkhICACgf//+cHd3F8JQaM7yvDRSFMUTQERERMQzGzbGxcXB1dUVkZGR8PLywvO2fVHFx8fD2dnZpk0IW7QArl8HAgOBJ+/Z2rnJkEyWbJ5MFkkkJCTAxcVFCk/muamqiqSkJCmBEyD33JKTk0FSSvNUQO65JSQkwNHRUUpQCNjvd1s2T/Z9Kz4+3i7PTVVVJCYmWnVP1uIJAF4kI5+37UuTcVIUpT+A/gDS/abL/NLY+o/h6dPAli3Azz//f9AEyD03mSzZPJksRVGkBU2A3HMzGAzSgiZA7rk5OMi9/ck8N5m/M8B+v9uyebLvW/Z6bgaDQeg9Wc7jiAUiOY9kaQBVM/tYnic+rsXKkL7+GihQAOjY0XKeTL1sGUhb6UV/by8rS+PZq2SPo/57s43s9b4l+xrRmDrr5eK9NIHTi+qnn37CpUuXhHMURcGFCxfwyy+/IDk52arPXrsGrFwJDB0KWDM7MH/+fNy8edPKI82Yjh07ht9++w2qqgpnkcSsWbNS56RFSlEU7NmzB3/88YfwL6yiKDCZTJg2bRoePXoklKVpy5Yt2L9/vxRWTEwMZs6cKbzGUNPq1avx77//CucoioLQ0FDMmzcPcXFxwnkAsHTpUpw7d04K69q1a1i8eDGSkpKk8BYuXIhr165JYZ06dQqrVq2CyWQSytFKNubMmYM7d+4IZWk6ePAgNm/eLCXQIInp06cjNDRUOAsA/vzzT+zatUvKuSUkJGD69OmIiIh48Z2lVz0u+wdWNPnVquADAwPp4ODA5s2bp/sZW6hTp04EwDNnzlj1ub59ST8/MibG8s8cP36cANi9e3crjzJjatSoER0dHXn79m3hrO3btxMAhw8fLpylqirLly9PT09P4YapJPnLL78QAKdOnSq8tUBiYiILFCjAvHnzMiEhQSiLJGfOnEkAXLp0qXBWZGQkfXx8WLZsWSktGkaOHEkA3Lp1q3De3bt36ezszAYNGgjlaPrwww8JgEePHhXOOnfuHBVFYYcOHYSzSLJVq1Y0Go28evWqcNb+/fsJgAMGDBB+jaiqyho1atDNzY0PHjwQyiLJ3377jQD4xRdfCGclJyezWLFi9PPzY2xsrHCe1pN1wYIFT33fru0Innai2g1BRh+ty5cvZ6iPVkgI6exMTpxoHe+dd96R1pH+yJEjBMBevXoJZ5FkvXr16OLiwuDgYOGszZs3S+ujZTKZWLp0aWbPnp1RUVHCeYsXLyYAzp49WzgrPj6eefLkYcGCBZmYmCic9/XXX0vro/Xo0SNmy5ZNWh+tTz/9NNVaRbRu3bolzFrlaXr//felWaucOnVKqrXKW2+9Jc1aZdeuXVKtVSpXrsxs2bJJMSleuXKlNGuVxMREFixYkLlz535mu68sFzg5OTlJe2rr2bMnAfDYsWNWfe6zz0gPD9Ka6/Hs2bN2+9SmuZYPGDBAOEtrLePm5sbQ0FDhPK3/n+ynthhrUpkZVHpPbbZUTEwMc+bMyWLFijE5OVk4T+v/t27dOuGs0NBQurm5sVq1alKCtI8//pgAuG/fPuGsq1ev0mg0smXLlsJZ5OP+f+fOnRPO0gwxe/ToIZxFkm+88QadnJx4584d4axt27YRAD/77DPhLJPJxLJly9Lb21vKDIDW/2/69OnP3CbLBU6AZd2PX1Q3b96kg4MD33rrLas+Fx5OenqSw4ZZx+vSpYu0p7aTJ09KfWpr0qQJHR0dpTy1/fXXXwTATz/9VDhLVVVWrFiRnp6eUgwxf/31V+lPbXny5JHSpHn27NkEwJ9++kk4KzIyktmzZ2fp0qWlGGKOHj1amiFmcHAwXVxcWLduXeEskuzVq5c0Q8wLFy5QURS+8847wlkk2aZNGxoMBimu5QcPHpRmiKmqKmvWrElXV1cphpjr168nAH7++efCWcnJySxRokS6hphZJnC6du0aAfD111+X8tSmOeQeOHDAqs9Nnkw6OZHWPDRcuXKFBoOBrVu3tu4gMyjNIVfGU5vmkPvhhx8KZ5Fmh1xnZ2fevXtXOEtzyB01apRwlvbU5uPjI+WpTWtjMHPmTOGs+Ph45s2bl/7+/lKmBL/55hsC4PLly4WzwsLC6OnpyfLly0u5bw0bNowAuH37duGsoKAgOjo6slGjRsJZJPnBBx8QAE+cOCGcFRgYSADs1KmTcBZJNmvWjA4ODrx+/bpw1u7duwmAgwcPFs5SVZVVqlShh4cHHz58KJy3evVqAuBXX3313O2yTOA0dOhQAuCaNWvS3fZFFRwcTGdnZ9avX9+qz8XGkrlykdaWDX300UcEwH/++ce6D2ZA2lPbu+++K5xFPn5qu3LlinCW1gi6f//+wllpCzll9JrSntrGjx8vnKU9tfn5+UnpNfX9998TAOfPny+cFRsby1y5crFIkSJSurZPnDhR2n3rwYMH9PDwYNWqVaUEaYMGDSIA7t27Vzjr+vXrNBqN0hYFvffeexlaFJQRyV4U1LBhQzo5OUlZFPTnn38SAEeMGCGcpaoqAwIC6OXlxfDw8OduKyxwAjASwFEAUQDuA1gPoMQT2ygAxgO4CyAOwB4AZaxgWBQ4hYWFMVu2bASQ7oDYQlqQtmPHDqs+N38+aTCQ1rQ60go5GzdubOVRZkwyn9pOnz5NAOzcubNwFkk2bdpUeiGnrEbGMp/aVq1aRQCcNGmScFZSUhILFSr03EJOW2ru3LkE5DQyjoqKoq+vr7RGxuPGjSMAbtiwQTgrJCSErq6urF27tnAWSfbp00faoqBLly5laFFQRvX222/TYDBIWRR0+PBhAmDv3r2Fs0iyTp06dHFxYUhIiHDWxo0bLV4UJDJw+gNANwBlAJQHsBnATQDuabYZASASQDsAZQGsTAmislnIsChw+vLLL1Prm0RPU4SGhtLd3d3qQs6kJLJQIdLa2m6ZhZzXrl2j0WhkixYthLNIsmPHjgTAs2fPCmcdO3bMbgs5//jjD2lPbSaTieXKlZNWyPnzzz+nW8hpKyUkJDBfvnzMnz+/FCuH6dOnEwB//vln4azw8HB6e3szICBASpCmNWD/448/hLNu375NJycnvvnmm8JZJNmjR48MLQrKiM6cOUMA7Nixo3AWaW7AbjQaee3aNeEsrQH7wIEDhbO0RUHu7u4WLQqSNlUHwC8FVJePs03BAEak2cYZQDiA3hbuM93AKSoqitmzZ2fx4sWlBE5jxozJUCHn8uXmET5+3PLPhISE0MXFRVpn8969exMADx8+LJx18eJFKooirbN527ZtpRVyHjp0iADYp08f4SySrF27trRCzg0bNhCQ09ncZDKxZMmSVnc2z6gWLVpEAJw7d65wVlxcHF977TUWKlRIypTgpEmTCICrVq0Sznr48CE9PDxYpUoVKVOCgwcPJgDu2rVLOOvGjRt0cHBg06ZNhbNIsnPnzgTA06dPC2edOHGCAPjBBx8IZ5GPfQKDgoKEs3bs2EEAHDp0qEXbywyciqaAyqb8f+GU/6/4xHYbACx9xj6cU4Il7SdvesHQtGnTCCC1DkJk4BQeHk4vLy+rCzlVlSxXjrRyAR6HDx9OAPzzzz+tPFLrpT21NWzYUDiLJLt3704APG5NJJlBaU9tsgo5mzdvTqPRKKWQU3tqGzRokHCWqqqsWrUqPTw8pBjwrVmzxqJCTlsoKSmJRYoUYa5cuaQY8M2bNy/1viVa0dHRzJEjB0uUKCHFymH8+PEEwPXr1wtn3b9/n66urqxZs6aUIK1fv34EwIMHDwpnaYuC2rRpI5xFku+++y4VReGFCxeEszLDJ9DZ2dlin0ApgVNKdmkjgP1pXquZAs7zxLbfA/jzGfsZr025pf15VjAUGxvL1157jYULF+bDhw+FB05fffUVAXD16tVWfW7zZvPo7tlj+We0Qk7ZT227d+8Wzrp+/TodHBzYrFkz4Szysbt7YGCgcJZWyGmPT22au/swa700MiDN3d2SQk5bSHN3/+abb4SzEhMT6e/vz7x58zI+Pl44T3N3X7JkiXBWREREqru7jClBzd19y5Ytwlmau7u1i4Iyqsxwd2/fvr1wFpk57u7WLAqSFTjNA3ADQL40r2mBU+4ntl0E4I9n7MeqjNO3335LAFy0aFHqiYoKnKKjo1MLOa15alNVslo1skYN878tlVbIKeOp7d69e3R1dWWtWrWkBGl9+/aVVsiZUXf3jOrtt9+226e2unXrSnN337Rpk8WFnC+qtO7ukZGRwnk//fQTAft0d58yZQoBue7uFStW1N3dX1Bdu3YloLu7axIeOAGYCyAIQKEnXrd6qu4p+35mjVNSUhL9/f2ZL18+JiQkCA+ctKc2aws5N2wwj6w1C/CioqLo7e3NcuXKSXlqGzVqFAFw27ZtwlmalcMbb7whnEU+fmqTUch5/vx5qe7urVu3lvbUplk5fPzxx8JZJFmjRg2LCzlfVDJ7cplMJhYrVow5c+aU4u6+cOFCAuB3330nnBUXFyfV3V1bFCTD3f3hw4d0c3Nj9erVpQRpAwcOJADu379fOEuzcmjVqpVwFmleFCTLJ/Dff/8lAPbs2dOqz4lcVacA+BbAHQDFnvF+MIDhaV5zgg2Lww8dOpRapC06cAoLC+OMGTOsKuQ0mciAALJ+feuyTaqq8q+//pLigE6aM06zZs2SckNQVZUbN27kkSNHhLNIswmfDP8f0uxv9Ouvv0pZJUias2k//vijFFZCQgJ//PFH3rp1SwovMDCQK1askMKKjY3l3LlzpfTkIs2mr7///rsUVkREBGfMmCFlSpA019zJqMkkzeUMM2bMkPJwqaoqt27dKiWQIc3TgjIWKZDmYH7t2rVSLGhIc6Amo7aPNCdYfv75Z6t9Aq0JnBSagxWLpCjKfACdALQGcDHNWxEk41K2GQGz31N3AJcBjAJQH2a/pygLGJ4AIiIiIuDp6fncbSMjI+Hl5QVLtpWllSuB994DDh4EatbM7KPRpUuXLl26dKUnLZ4A4EUy8nnbOli5774p/93zxOvdASxJ+fc3AFwBzAfgA+AIgMaWBE2vupKTgXHjgObN9aBJly5dunTpskdZFTiRVCzYhjCvlBufsUPKmEhCUdI9PKG8pUuBy5eB1avFs0RKJk82C4Ddnpt+jbx6PP3cXk2efm6vHsuWPIMNjuWlUO/evdG7d28kJycLZ505cwbly5fH4cOHU19LSAAmTADatwcqVLAt75133sGwYcNgzbRqRrVnzx5UrVoVgYGBwlkk0bBhQ0yaNEnKua1duxYNGjTAtWvXhLOSkpJQrVo1zJ8/XzgLAObPn4/mzZsjJCREOCs6OhoVKlTA8uXLpfzevvzyS7Rv3x4RERHCWffu3UPZsmWxefNm4SwAGDRoELp3746EhAThrMuXLyMgIAB79+4VzgKArl27YuDAgVBVVTjryJEjqFSpEv7991/hLJJo3rw5Pv/8c+EsANiyZQtq166Nixcvpr/xC8pkMqFOnTqYOXOmcBYALFmyBI0bN0ZQUJBwVnx8PCpXrozFixe/8L7sInC6dOkSfvzxRwQHB8NoNArnjR07FmfOnNHmQwEACxcCd+6Ygydb6tChQ/jtt9/w6NEj4ZE5SYwePRpnzpxB9uzZhbIAYOPGjdi1axeiosTP4ppMJowbNw6nT5+Gr6+vcN6SJUtw9OhRxMfHC2fFxsZi4sSJOHPmDHx8fITz5syZg9OnT6cGTSKDp4cPH2LatGm4dOkSsmXLJoyjafLkyTh37hwcHR2Fs65fv44FCxYgKCgIzs7Ownnjx4/HmTNnpIzjiRMnsHz5cjx48AAGg/g/M2PGjJF2/e/YsQPbtm1DeHi4cJaqqhgzZgwCAwOl3LdWrlyJgwcPIjY2VjgrISEBEyZMkHZuCxYswIkTJ5CUlPTiO0uvelz2DyzsVZe2Cr5t27YEwJMnT6b7mRfVP//8839+FNHRZM6cZLdutmWpqsr69evT0dGRN27csO3On6ItW7YQAIcMGSKcpfU/8/T0lNKkdsmSJQTAKVOmCGfFxcUxX758zJMnjxRH6m+++YYApKy2CwsLo7e3N0uXLi1l+fmwYcMy1O4oI7p16xadnJxYp04dKatNtebaf//9t3BWYGCg1HZHzZo1o9FolNLuaPfu3dLaHWnNtd3c3KQ0qV29erW0dkeJiYksUqQI/fz8GBUVJZyneTLKWEkYFRVFPz8/FilS5JneZtJaroj4yUjgBECaj07jxo3p4ODwHx+dyZNJR0fS1t02tF47AwYMsO2OnyKTycSKFSvSw8OD9+/fF85bsWKFNB+dhIQEFixYkLly5ZLS/2zWrFkEwAULFghnRUREpPZtlNH/bPTo0dJ8dO7evUtXV1dpPjofffQRATnNtc+dO0eDwcCWLVsKZ5FkmzZtqCiKFNuMgwcPZshHJyNSVZU1a9aki4sLb9++LZz3+++/EwA/++wz4aykpCSWLFmSPj4+Upz0tRZmM2bMEM6KiYnha6+9Rn9/fym2GRMnTiQALlu27JnbZLnASZZrs9YjrHfv3qmvhYWR3t6kFc7uFknrEebq6irFtVnrESbDtTkxMZFFixZljhw5pLg2z58/nwA4Z84c4azo6GjmzJmThQoVYkJCgnCe1iNMhmvzvXv36O7uzsqVK0sJZPr3708AUrzNLl++TKPRKM21+d1335WWJdfc5mW4NmtZcicnJ6tcmzMqmVny5ORkli1bVlqWfPHixdKz5Hnz5mVcXJxwnsws+aNHj+jl5ZVuljzLBE5//fUXAbBz587pbvuiUlWVtWvXprOz8396hI0ZQ7q6knfv2pandaQfPny4bXf8FCUnJ7NUqVL09vZmWFiYcJ7WkX7atGnCWbGxscyTJ4+0JxutI/3SpUuFsx48eMBs2bIxICBAiiGg1ttQhtv89evX6ejoKM1tXutIL6NHmNbbUFaWvFGjRv+XJRclLUsuw21edpZ8+fLldp8ll+E2LztLrnXJSC9L/koGTgD6AzgH4IKlgVPdunUJgKdPn0532xfVtm3bCICffPJJ6mv37pHu7qStYxuTycSAgAB6enpK6Ui/dOlSAuCkSZOEs+Lj45k/f35p9T/Tpk0jAP7www/CWVr9T6lSpaTU/wwfPpwAuGHDBuGsoKAgOjs7s3bt2lKyTd27dycAHj58WDhLq/+R1duwefPmNBgMUrLke/bs+b8suSjpWXLbad68edKz5IULF5bS2/BlzZK/koFT6gFZmHHauXNnan2TqJYrmlRVZeXKlenu7s579+6lvv7JJ6SnJ2nr2ObXX38lAI4fP962O36KEhISWKhQIebMmVPKk83s2bMJQEpLlMjISObIkYPFihWT8mQzZswYAuCaNWuEs7T6n6pVq0oJZHr16kUA3Lt3r3DWhQsXaDAY2KJFC+Eskmzbti0VReGZM2eEsw4dOkQA7N69u3CWqqqsVavW/2XJRUnLko8YMUI4y56z5DExMcydO7f0LLm1PVkzopc5S273gZOqqqxevTpdXFykBE7r1q0jAI4ePTr1taAg0tmZnDDBtqykpCQWL16cvr6+ws+LJBcsWEBATtd22fU/X3zxBQFI6X92//59enh4sFKlSlJuCAMGDCAgp2v7lStX6ODgIK3+p0OHDgQgpY/W0aNHCYBdunQRziLJBg0aSFslu3XrVqmrZLUsuYz6Hy1LPnnyZOEs2VnyqVOn2u0qWS1LvnHjRuEsLUtu6SpZuw+cNm3aRAAcNGiQ8MApOTmZpUuX/r8nm969SV9f0tboH3/8kQA4depU2+74KdLqf/Lnzy/lyWby5MnS6n8ePnxIT09PlitXTkogM2TIEALg1q1bhbNu3LhBR0dHNmjQQDiLJLt06SKt/ufkyZMEwPbt2wtnkWSTJk3o4OBgdUPQjEiryZSxSlZVVVaqVEla/Y+WJZ9g6yfJp0jLksuq/9Gy5LJWyfr6+kqr/9Gy5GvXrhXO0rLk1apVk5olt3SVrF0HTiaTieXLl6enpyevX78uPHBatmwZAfCrr75Kfe3KFdLBgbR11jY+Pp7+/v7MnTu3lCeb6dOnEwAXLVoknBUWFkYfHx9p9T+fffYZAXD9+vXCWbdv36azszNr1aol5YbQo0cPAuChQ4eEs86cOSO1/qdly5Y0GAw8f/68cNa+ffsIgL169RLOUlWV1apVk1b/s3btWmn1P3qW3HaaMGGCtPqftFlyGfetlz1LbteB06pVq1Lrf7QTFfVlTUxMZOHChZkzZ87/GIJ16ULmyUPaOraZO3cuAXDevHm23fFTpNX/FC1aVEpB4NixY6XV/wQHB9PNzU1a/U+fPn0IgHv27BHOunjxIo1GI5s3by6cRZLt2rWTVv9z+PBhAmA3WzvJPkWqqrJOnTrS6n82btxot6tk9Sy5baRlyWXV/+hZ8v/KbgOnpKQklihRIvXJRnTgtHDhQgLgzJkzU187c4ZUFNLWtc2aIVjBggWlPNl8+eWXBMDly5cLZ2lPNhUrVpRyQxg4cCABcPv27cJZV69epYODAxs1aiScRZIdO3aUVv9z7NgxaXYfJPnmm2/S0dGR123tJPsU/fHHHwTAwYMHC2fJXiX7888/S10lq2fJbaMRI0ZIWyWrZ8n/X9YETg54hfTw4UPkypULPXv2hKenJyIjI4Xy4uLiUKpUKfTp0yf1tbFjgYIFgZ49bcsKDg5Gvnz50L9/fzg5Odl2509RUlISqlSpgo4dOwpn3b17F/7+/pg4caKUvlUk0ahRIzRs2FA4K+25iZbJZIKDgwM6dOiACrbuJP0U3bt3DwUKFMD48eOFs+Li4uDh4YFevXqhYMGCwnlhYWEoWLAgRo4cKYWVM2dOtGvXTkpPrpiYGBQrVgwDBw4Uzrp//z7y5s2Lrl27wtXVVTgvISEBAQEB+OCDD4SzgoODkT9/fowdO1ZKD1StwW7Lli2Fs+7cuQN/f39MmjRJSg9URVHQqlUr1KhRQygLAEJCQlCgQAF8+eWXwhgKzVmel0aKongCiIiIiICnp+f/vU8SqqrCaDQiMjISXl5eeNa2tpDJZEr90hw7Brz+OrB0KfD++7ZnadGsjOAC+O+5yWAZDAbhX9K0PJnnJoslm6ef26vJk8lKe0+WIZnnpqoqFEXR71uvGC8jLC2eAOBF8rlZmVcq4wQAiqJI/WWnZY0ZA5QqBXTuLIYl8wsKINPG0d54+rm9mjz93GyjzLwni5ash1hN9jqOsnmiWa9c4JRZ2rcP+PNPYO1aQPL1pkuXLl26dOl6SSQ3nBaosLAwBAUFCdk3CYweDVSqBLRrZ34tMDAQsqY5Q0JCcP/+fSksADhz5ow01q1btxAeHi6NFxgYKI119epVxMbGSmGRlPp7u3jxIhITE6WwEhMTceHCBSksADh37hxMJpMUVlRUFG7cuCGFBZi/26qqSmGFhoYiODhYCguQe0++c+cOHj16JIUFyL1vXb9+HVFRUdJ4Mu9bly9fRnx8/IvvKL3qcdk/sKLJb9pVdYMGDaKrq6uQ/k/btpnXH2qu7VeuXKGTk5OURpYk+d5779HLy4shISHCWf/++y8VReGXX34pnKWqKhs2bMjcuXP/x+5BlP78809pjSyTk5NZoUIFlihRQordwy+//EJFUaTYPcTFxbFgwYKsUaOGlBU5M2bMoNFo5K5du4SzHj16RF9fX7Zq1Uo4iyRHjhxJZ2dnnjx5UvhYBgUF0c3NjR9++KGU31vPnj3p4eHBmzdvCmedOXOGRqORI0eOFM4iyVatWjFHjhxS7B40v7EZM2YIZ6mqyho1arBgwYJS7B60rhwy2r0kJiayZMmSrFChwlNXd9utHcGzTvTo0aN0cHBggwYNbH5DSEoiAwLI2rVJbddt27YlAP7zzz82ZT1NBw8elOakrKoqa9euTUdHR166dEk4T+ttJcNJOSkpiaVLl2a2bNmkBKBabysZTsrR0dHMmzcvX3vtNSkNSLXeVjKclO/fv08vLy8WL15cik2H1ttKhpPytWvX6OzszOrVq0sJZDp37myVk/KL6Pjx41QURUq/QVVV2ahRIxoMBgYGBgrn7dixgwDYo0cP4SyTycRKlSrR1dWVt27dEs5bvny5tH6DcXFxLFSoEH19ffno0SPhvFmzZhEAp0+f/tT3X8nACUB/AOcAXLA2cGrYsCENBgNPnTpl2Qhaodmzzb5Nx46Z/3/Xrl0EwPfff9/mrCdlMplYpUoVOjs7S+ltpZmLDh06VDgrPj6eRYsWpY+PjxRvG81c9OuvvxbOioiIYM6cOZk/f37GxMQI540bN44AuHjxYuGsu3fv0t3dneXKlZPSEkIzF928ebNw1vnz5+ng4MB69epJCWTefvttAuDff/8tnKWZi7777rvCWZq5qKOjIy9evCicp5mL9uvXTzgrKSmJZcqUoYeHhxQHeM1cVEbD9+joaObLl4+5cuWS8gCmmYvKMHwODQ2lt7c3ixUr9swHsFcycEo9oAxknCCobUJICOnpSfbpY/7/5ORkBgQE0M3NjXfu3LE570lpjSzTNhcWpdjYWPr7+9PPz4/h4eHCedOmTZPWNuHhw4fMnj07CxcuLCX9rDWylNE24ebNm3RxcWHlypWlmIt269ZNWtuE06dP02AwsEmTJlICmebNm1NRFCnmonv27JHWXNhkMrFq1ap0dnaWYi66Zs0aac2FExISWKxYMXp7ezM0NFQ4b968edKaC0dERDBXrlzMly+flAew8ePHS2suHBwcTA8PD5YpU0bKA1i/fv3SbS6cZQKnBw8eEACzZcvGe/fupbu9tXr/fXMjX63Zt+YkLqP+Jyoqirlz55ZW/6M5iS9cuFA46969e/T09GSpUqWk1P9oTuK//fabcJZW/1azZk0pf+w1J/H9+/cLZx09epQA2Lp1a+EsVVX55ptv0mg08uzZs8J5mpP4hx9+KJyVnJzM8uXL083Njbdv3xbO05zER40aJZyl1b/Jqv/RnMTTdncQJa3+rVChQoyLixPO05zEZXR3uHXrFl1dXVmxYkUpLumak7iM7g6BgYE0GAxs1KjRc+/JWSZw+vrrrwmAEydOTHdba3XggHl0NGf/8PBw+vn5sUCBAlJaC4wePVpaj6Q7d+7Qzc2N5cuXl/Kl0bpWb9Oq7QXq3LlzNBqNQurfnqY2bdpIr3/r0KGDcJaqqqxVqxYdHR15+fJl4bz169dLq39LTExkqVKlpNe/ffHFF8JZ0dHRzJMnj7QHsK+++kp6/ZusBRha/du6deuEs65evUonJydpCzA6deokrf5NW4DUsmVL4SxtAZLRaEy332aWCJwePHhAb29vArB5ijYpiSxfnqxaldRmPz799FMC4KpVq2zKepquX79OZ2dnvv7661KmX95//30CkLJq6eTJkzQYDGzWrJlwFkm+9dZbwurfntTOnTsJgB988IFwllb/5uLiIqX+beXKlQTAYcOGCWfFx8ezSJEi0urf5syZQwD85ptvhLPS1r/JeADTmmsvWbJEOOvOnTtS69969+5NANyyZYtwllb/Vr9+fSmBTLt27QiAR44cEc46dOiQ1Po3mQuQtPq3/v37p7ttlgicBgwYkFrfZOsmv3PmmAvCtcbKly5doqOjI+vUqSPlS9O+fXsC4MGDB4Wzjhw5QgBWN0TMiFRVZf369eng4MDz588L523dupUA2Lt3b+Gs5ORklitXju7u7lLq35YsWUIAHDNmjHCW7Pq3qVOnEgDnzJkjnPXw4UP6+PiwSJEiUurfhg0bJq3+7caNG3RxcWGVKlWk1r/t3LlTOOvUqVM0GAx86623hLNIslmzZtLq33bv3k0A7Nq1q3CW7Pq31atXEwA//fRT4Sxr69/sPnDSPDvq169v88ApJIT08iLT1pq3atWKiqLw33//tRnnWdI8O9577z3hLM2zw8nJiVevXhXO++233wiAgwYNEs7SPDu8vLx4//594bzvvvuOAPjVV18JZ2n1b3ny5JEy/fLFF18QAL///nvhLNn1bx9//DEBcP369cJZly9fpqOjo7SO9B06dCAAHjhwQDhLq39r06aNcJaqqnzjjTdoNBp57tw54bxt27YRAD/66CPhrMyqf5O1AKlAgQLSFyDNmjXLou3tOnBSVZWNGzemwWBIXWJry8CpWzcye3ZSmyHQPTtso/j4eBYuXPil8eywpcLCwpgjRw4WLFhQStHoqFGjCEmmcbdv35Za//bRRx8RAP/44w/hrLNnz9JoNPLNN9+UEsi0bt061XdOtPbv308A7Nixo3CWVv/m5OTEK1euCOf9/vvvBMCBAwcKZ2kPYJ6enkIWID0p2QuQZNa/TZw4UfoCpJIlS1r8AGbXgdOmTZtSPTvSOofbQgcPmkdE+71mlmfH559/Lpwl27NjypQpL5Vnhy01ZMgQApDi2q2ZJlatWlXK9EuXLl0IgHv27BHOOnHiBBVFYfPmzYWzVFVlkyZNaDAYePr0aeG8v/76iwDYrVs34SyTycTKlSvT1dVVimv3r7/+SgAcPny4cJZW/5Y9e3Y+1JY7C9Ts2bMJgFOnThXOkr0AacyYMVIXILm7uzMgIEDqAqStW7da/Bm7DZyenLO0ZeCUnExWqEBWqWL+N2nfnh2ff/55lvbssJUuXrxIBwcHafVv77zzDgHw8OHDwllaRvftt98WzlJVlfXq1aODg4OQtklPavPmzQTAPppJm0AlJSWxbNmydHd35927d4XzfvrpJwLguHHjhLNiYmKYP39+5syZ0+a1pk+TtpJ67ty5wlkPHjygj48PixYtKuUBTOYCJK3+zZ4XIDVt2tSqz9lt4KQVlmmeHbYMnL791lwQri1iSE5OZuHChaV5dmhB2i+//CKcFRMTQ19fX2meHVqQJsOzIzQ0lC4uLul6dthKffv2paIoPH78uHDW5cuXaTAY2KlTJ+Es0hykyap/0xYpDB48WDiLJOvWrSut/k0L0mTUv6mqylKlSjFv3ryMjo4WztOCtEWab4tAJSQkMHfu3CxdurSUBzAtSJNR/xYeHk4PDw/Wrl1byn1LC9JkLEAKCgqig4ODlAVIpDlIy0j9m90GTqqqcvv27alzlrYKnO7fJ729ySdr/0JCQqTUI5Dmc9u6dauULw1pdpyWMUVBmoNQGZ5Nmi5evCjFa4g010DICAg1nTx5UkrRKGku5pSxQkrTwYMHpdS/keZ7hwzPGk1//fWXlAcw0vzwIKONC2m+b23btk3KAxhpnvKRsbKNNE95yrwnX716VcpqY9KcBZVRR6jpzJkzUmxTSPN0bkY6G1gTOCk0BysvjRRF8QQQERERAU9Pz+duGxkZCS8vL1iy7fPUsyewfj1w8SKQI0eGd6NLly5dunTpegWlxRMAvEhGPm9bBzmHlL4URekPc6Nfg0zu4cPATz8BCxboQZMuXbp06dKl6/nK0hknkwmoWtX873/+AYxGyz9LEoqiWM3UlbmS9XvTvlf6NfLikvld039vtpPse6R+T3419bL83qzJOEnN7oiUqqqYNWsWoqOjLf7M998Dx48D8+dbFzQBwM6dO3Ho0CErjzJjSkxMxKxZs5CQkCCFt3HjRpw+fVoKKyoqCt9++y2Sk5Ol8FauXInLly8L5yiKgvv372PRokVQVVU4DwCWLFmC27dvS2FdvXoVv/76K2Q9eC1YsAChoaHCOYqi4MSJE9i8ebNwFmD+ozFnzhxERj73Pm0z7du3D3v37pXCMplMmDlzJuLi4qTwtm3bhn///VcKKy4uDnPmzEFSUpIU3tq1a3H+/HkprEePHuG7776Tdt9atmwZbty4IYUVFBSEpUuXvvh9K70iKNk/sKLJb9ricG1VmqUNf7WC8J49Ldr8PwoLC2Pu3LmZK1cuKX4b48ePl+bcfOfOndTGmTIKPjXrgN9//1046/z583R2dmbNmjWlWgfIWLly+PBhKooixbnZZDKxfv36NBgMUopZtVVpMpybExISGBAQQBcXFynebYsXL5bm3BwVFcUCBQrQx8dHinebtirNUufmF9G9e/fo6+vLAgUKSHGcHzp0KAFwxYoVwllXr16lm5sbK1asKOW+pVkHZKTA2lodP36cRqORjRs3Fs5SVZVNmzYlgKcuMLDbVXXPOtHAwEB6eHiwePHiFgcyPXuaA6eMrEbu2bOnNL+N06dP09HRkVWrVhUeyKiqypYtW0rrN7V3714CYNOmTYXfEJKTk1mjRg06ODhIWZWzdu1aQlLD3/j4eJYqVYpubm68du2acJ7WXmbo0KHCWeHh4cybNy9z5MghxTpAay8jo+Hv3bt36e3tzYIFC0pxbtbayyxevFg468KFC3R2dmb58uWlBDJae5nNmzcLZx05coQGg4ENGjQQ7oGktZdRFEWKd5vW31NGw9/ExERWqFCBzs7OUh7AtPYyz2r4m+UCJ+3C2r9/vyXjx7//Np95Rkyst2/fntqTSfQf+6SkJFapUoWOjo48c+aMUBZJrlixggDYK22jPkGKiYlh0aJFmS1bNintZbQWLDKe7B8+fMhcuXIxV65cUtyNR48eTQCcPXu2cNbNmzeZLVs2Fi1aVIpRq9aCRcaTfWBgIB0dHVmlShXhPkGqqqa2YNmxY4dQFvm4B2aTJk2E37dMJhNr1apFo9Eopb+n1oKlS5cuwlnx8fEsU6YMXV1dpbSX+f777wmAn3zyiXBWREQE8+XLx+zZszMkJEQ4T2vBIsNgOjg4mD4+PvT3939mtjXLBU4A+PHHH1syfkxOJitXJitWfOwQbqm0VLe3t7cUB2At1S2jb5GW6s6XL5+UBoyaAdt3330nnKWlukuVKsX4+HjhPC3V/dtvvwlnaanuWrVqSXn6feuttwiAe/fuFcoiH7cpadWqlZSHlNdff52Ojo5S/M1WrlxJAPzwww+Fs2JjY1msWDF6eHhI8dKZM2cOAXDkyJHCWY8ePeJrr73GnDlz8oHWYFSgxo4d+x8TZpEKCgpitmzZWKRIESkPKb1795Zmwnz27Fk6OTmxcuXKUsxM27VrRwD8888/n7lNlgmcLly4QAD09/e3ONW9YIH5rA8dsmjz/2jAgAF2n+resmWLcNbff/9Ng8HA+vXrS/lj36BBA2mp7i1btmRKqltGm5KlS5em9okUraioKBYqVIheXl68c+eOcN7UqVMJgOPHjxfOun//Pv38/JgnTx4pDynDhw+X1ify2rVrdHd3Z8mSJaUYfnbr1k1an8iTJ0/SwcGBNWrUkFI20axZMwLg7t27hbJIcteuXQTA5s2bSymbqFatGh0cHHjy5EmhLJJcs2YNAbB79+7P3S5LBE5pLyxLLfGvXSOzZSN79LBo8/9Idqq7du3a0lPdXbt2Fc6Kj49n6dKlpaW6tW7jQ4YMEc7SUt2+vr5SU91TpkwRzrIk1W1LDRw4UFovxUuXLtHFxYXlypWT0pPsvffeIwBu2rRJOOuff/6hwWBg3bp1pTykNGzYkIqiSFkQ8ccff0jrpZiUlMRKlSrRycnJ6lYeGdGyZcuk9VKMjo5m4cKF6enpyaCgIOG8GTNmSOul+ODBA+bMmZO5c+dOtytBlgictFS3pdmppCSyZk2yUCHS2g4taVPdMrqNz507lwA4atQo4Sx7TnXfunUrU1Ldy5cvF86SmepWVZVt27ZNN9VtKx04cICKokjpN2gymVinTh0ajUYeO3ZMKIskN2zYQABS+g0mJCSwbNmydHV1ldKC6IcffpDWbzAyMpL+/v7Mnj27lNWPkydPltZvMCQkhNmzZ2f+/PmlNE7+5JNPpPUbvHz5Ml1dXVm2bFkpDyldunQhAG7YsCHdbe0+cLp//z5z5MjB1157zeLAacIE0mAgM/IgpKW658+fb/2HrdT169czJdW9du1a4azMSnXv2bNHKIt8nOpu0aKF1FT3qVOnhLLIx82100t120JxcXEsUaIE3d3def36deE8zcZkxIgRwlmajYmfnx9DQ0OF87Tm2tOmTRPOun37Nj09PVm4cGEpzYU1G5Off/5ZOEuzMalYsaKUsgnNxkRGf89Dhw5RURS++eabUh5SNBuTf/75RyiLfGxj0rFjR4u2t/vASUt1r1q1yqLA6dAh0mgkP//cgtF7Qlqqu169elJT3YcyUoRlpWSmuhMTE1mxYkXpqe6+ffsKZ6VNdctowCsz1R0aGmpxqtsW+uyzzwiA3377rXDWjRs36OHhwRIlSkjxY5NpY3Lq1Ck6ODhIszFp0aKFNBuTPXv2EACbNWum25i8gOLi4qTamCxYsIAAOGzYMOGsjNiY2HXgtH79+tRUd1oDzGcPhnl6rnp183SdNbLnVHdERATz589PHx8fKanuSZMmSUt1a/U49pzqLlOmjJRUd+fOna2qI3wRHT16lEajkXXq1JHykNK4cWMqisIDBw4IZZHybUwqV64szcZk+fLluo2JDfTgwQOpNiajRo2SbmNSrFgxKQ8pmo3Jr7/+avFnXsnACeYGv+cAXHhWMPRkqtuSwOmDD0gPD/LqVYvHL1Vaqnv69OnWf9hKyU519+3bV1qq+9y5c3RycpKW6n777bftNtVdr149GgwGHjlyRCiLJDdt2mRVqvtFlJCQwHLlytHFxYUXL14Uzvvpp58IgAMHDhTOkm1jMmXKFLu3MVm4cKFwlmwbk65du0qzMfn3338zxcZk3759QlnkYxuT1q1bW3VPfiUDp9QDek7G6clUd3qB08qV5jNcutTisUvV6dOn6eDgwGrVqklpPdKqVSsC4K5du4SzZDp2m0wmqanudevWSUt127Njd0REhO7YbSPJdOy+ePGi3dqYpHXsFn3fsmfH7qSkJKk2Juk5dttS0dHRGbYxsdvA6dChQ/z0009TvzTPC5xu3jS3VOnQgczIdyw6OpqffPKJlFQ3aU7ly/CQIc0r6fr06SMl1U2agxkZBaqkeZruww8/lJLqVlWVS5YskTJFR5oXDvTs2VPKCsHk5GTOnj1bij8Oac5K9u7dW4oZXmJiIidOnCilFxdJHjt2jIMGDZLSZyw2NpbDhg2TYmNCmuuNZKz+Jc33+/79+0uxMSHNxcWTJk2Swrp//z4/+ugjKTYmqqpyxYoVUuoISbORZ8+ePaXYmJhMJn733XcZMvG0JnBSaA5WXhopiuIJICIiIgKenp7P3TYyMhJeXl54cluTCXjzTeDaNeDUKcDHR/BB69KlS5cuXbpeWWnxBAAvkpHP29ZBziHJ1dSpwL59wO7detCkS5cuXbp06bKdDJl9ALbWsWPA2LHAiBFAvXqZfTS6dOnSpUuXLnuSXQVOMTFAp05A+fLAhAmZfTS6dOnSpUuXLnuTXQVOrVtfxc2byVi+HHByEsuKjo7GgAED8OjRI7GgFP3www/YtGmTFFZoaCgGDRqEmJgYKbzp06dj7969Ulg3btzA0KFDkZCQIIU3YcIEHD9+XAorMDAQ48aNg8lkEs4iieHDh+PixYvCWQBw4MABTJ06FTJqMpOTkzFo0CAEBQUJZwHAxo0b8eOPP0phxcbGYsCAAQgNDZXCW7ZsGdauXSuFFRYWho8//hiRkc8tT7GZ5s6dix07dkhh3blzB0OGDEFcXJwU3qRJk/D3339LYV28eBEjR45EUlKScBZJjB49GmfOnHnxHb1MP7CwV13aKviIiAjOmnWDAOnr+5nwVUeqqvLdd98lAC5ZskQoizT37nJwcGBAQIDwVUdJSUl84403CIBbt24VyiLJjRs3EoCUJcaxsbGsVKkSDQYD//77b6Eskly8eDEBsH379sJZYWFhLFKkCF1cXKQsMf76668JgAMGDBDOunv3Ll977TV6e3tbvcQ4Ixo6dCgBcMKECcJZFy9epKenJ/PkySPcrFVVVb7//vsEwAULFghlkWZDU2dnZ5YoUUK4WavJZEptsSSjfdSOHTtoMBhYvXp14fethIQEVq9enYqiSGkf9euvv6a2jxKtqKgoli5dmo6OjlLaR2l9YHv06PF/7wm1IwBQF8AmAHdTIG2eeF8BMD7l/TgAewCUsWL/VgdOR48G0WB4RINhA48dE78Md/r06QTAbt26Cf/SBAcHM3fu3PTy8pLiXj5ixAgC4PDhw4WzLl++TC8vL+bOnVu4e7mqquzevTsBcOrUqUJZpNlgztnZmcWKFRNuDGgymdiyZUsC4NKMmJZZqZ07d9JgMLBKlSrC+ykmJiayVq1aBMDNmzcLZZHkmjVrCIANGzYU7t8WHR3NMmXK0NHRUUqLpfnz5xMAO3ToIPy+FRoaSn9/f7q7u/Ps2bNCWSQ5YcIEaYH8zZs36evryxw5ckixdOnfvz8B8IsvvhDOOnPmDN3c3FigQAHhTd9VVWX79u2lBfIHDx6kg4MDy5Ur91STadGBU1MAEwG0e0bgNAJAZMr7ZQGsTAmislm4f6sDJ1/f/QTucM6cFRkZT6u0e/duGo1GVqxYUbh1fGJiIuvUqUMA3Lhxo1AW+dg88o033hCe2YqOjma5cuXo4OAgpeXFwoULCYDvvPOO8D8aDx48YMGCBenm5sbAwEChLJL88ssvCYD9+vUTzrp16xZz5MhBX19f3rhxQzhv4MCBBMDPM9Jo0kqdO3eOHh4e9Pf3F96EV1VVduzYkQA4b948oSzS7IHn6OjIMmXKCDf9TE5OZqNGjaT15du6dSsVRWHNmjWFZ7bi4uJYpUoVGgwGKT5gmnlkixYthDt8h4eHs1ixYnR2duaxY8eEssiXLwEhzQDzycApJdsUDGBEmtecAYQD6G3hPq0OnIAINm8+y5pxzJBu377NnDlz0sfHR4pTtNYDbcyYMcJZ58+fZ7Zs2ZgvXz7eu3dPKEtVVXbq1IkAOGfOHKEs0uw47OTkxFKlSgk3YUtOTmaTJk2s7pOUUf3xxx9UFIXVq1cX/kcjPj6eVatWpaIo3L59u1AW+bgHWtOmTYX/0YiIiGCJEiXo5OQkpXO71gOta9euwv9ohISEME+ePMyWLZuUdjajR48mAA4ZMkQ46+rVq/T29mauXLmkTONqPdCmTJkinHXixAm6uLiwSJEiDAsLE8oymUxs3bo1AfDHH38UyiLNxqkyExB169ZNNwGRmYFT4ZTXKj6x3QYASy3cp8WB04wZOwiAOXN+L7yXUNp5Zhk90LR55iZNmgifMoiMjGSpUqXo5OQkpfZnzpw5REqjZtF/NO7fv8/8+fPTw8OD58+fF8oiybFjxxKSGjVfv36d2bNnZ86cORkUFCSc17t3b0JSo+bTp0/Tzc2NhQoVEu4Cr6pqan9DGS7w+/bto4ODA8uXLy+8HjMpKYn169cnAP7+++9CWeTjJuz16tUTnrWOiYlhhQoVaDQauXfvXqEs8nET9rZt2wq/bz169IiFCxemq6urlNqfyZMnE5IaNb+sCYjMDJxqpryW54ntvgfw5zP24ZwSLGk/eS0JnK5du0GD4SAB8Phx8XPomTHPXLBgQSnzzFqh+3fffSeURT4udH/WPLMtlbbQXUbBqNYUt06dOsL7hGmF7kajkbt37xbKIh83xW3durXw7E9YWBiLFi1KFxcXHj9+XCiLJL/55hsCYM+ePYWz0ha6y2gdohW6jxw5Ujjr0qVLqYXuoluHpC10nzFjhlAW+d9Cd9FF/GkL3ZctWyaURT4udH/99delJCBq1KghLQGxcuVKixMQL0PglPuJ7RYB+OMZ+xif8pn//Dzv4tTmmYFK6W5rC2XWPLOMflPTpk17qeaZbamsUOguowdgVih0r1y5svBC94SEhNRCdxlNcVevXi210L1s2bJ6obsNNH78+EwpdL9586ZwnuwEhLu7u8WF7q/UVF1GMk4ffvghkbJcWHTglFnzzD/99JNQFpk1Ct0bNGggZcogMwrd3333XbsrdJ84cSIBsG/fvsJZt27dop+fn90Wuru7u0srdH/vvfcIQErj2MOHD2dKofvq1auFskhyy5YteqG7DRQeHs7ixYtblYB4GYrDh6d5zQk2LA5ftGhR6jxzeHi40MBJ9jzzpEmTCIC9e/cWzgoKCpI6zzx48GC7LXTv3Lmz3Re6r1ghfsVqVih0b9asmV7o/gIKCQlh3rx5pRW6jxo1igD46aefCmfZc6H7yZMn6erqKi0B0aZNG6sTEKLtCDwAVEj5IYBPUv7tn/L+iJRAqS3MdgQrYCM7gifnmdMaYNpaaeeZf/nlF5vv/0lt376dBoOBVatWFT7PHB8fL7XQfcWKFXqhuw1079495suXj9myZZNS6D5mzBgC4KBBg4Sz7LnQ/dSpU3R1dZVW6N6uXTsC4Pfffy+UReqF7rZSTEwMy5cvT6PRKMXk0p4L3bUEhLWF7qIDp/pPq0kCsISPs07jUzJP8QD2Aihrxf6fGjg9bZ5ZZOCkzTN//PHHNt/3k7px44ZUQ7V+/fpJm2cODAyUaqhmz4XuDRo0IACuW7dOKIt87Oheu3ZtvdD9BZTW0f3EiRNCWeRjR3e90P3FlNbRXUahe9euXaUXuhcvXtzuCt21BERGCt2tCZwcYKVI7kkJjp71PlMCp/HW7jutnuw3FB0djSJFimDChAnIly8fIiMjU7cR0ZvIz88P9erVw7hx44T3PoqLi0PRokUxatQoeHl5CeWRRL58+dC8eXMpfZ2SkpJQokQJzJw5E46OjkJ5qqqiUKFC6Ny5Mzp27Cj83EiidOnSWLJkCUwmk1BeUlISihUrhoCAADRs2FD4uTk5OSEgIAA//vgj4uLihPbIio2NRdGiRdG2bVtUqlRJ+Llly5YNlStXxty5cxEdHS2UFRkZiaJFi2LYsGEoXLiw8HPz9fVFzZo1MWnSJOGsmJgYFClSBIMGDYKfn59w3muvvYZGjRph2LBhwlnx8fEoVqwYpkyZAldXV+H35AIFCuCdd95Bjx49hJ+byWRCyZIlsXDhQgBi/n5qSk5ORuHChdGrVy+0atVK+LkZjUaULVsWixcvRkJCglU9Sa05NsUc57w8UhQlL4DbmX0cunTp0qVLl64sp3wk7zxvg5cxcFIA5AEQZcHm2WAOsvJZuL2mfwBUtfLQXtbP6GNgn2OQkc/Z4zjoY6CPQUY+o4/Byz8GsljWjEM2AHeZTmBk9VSdaKUc8HOjPU3mGAsAEEXS4jyboiiqNdu/zJ/Rx8A+xyAjn7PHcdDHQB+DjHxGH4OXfwxksawcB4v2a7AUbmeaZ2efyYhe5vPRx+DFPieD8zJ/JiN6mc9HHwN9DDL6mYzoZb/HyRqHZ+qlm6qzRoqieAKIAOCVkWjXHqSPgT4GmvRx0McA0McA0McA0MdAk4hxeNUzTgkAJqT8N6tKHwN9DDTp46CPAaCPAaCPAaCPgSabj8MrnXHSpUuXLl26dOmSqVc946RLly5dunTp0iVNeuCkS5cuXbp06dJlofTASZcuXbp06dKly0LpgZMuXbp06dKlS5eFemUDJ0VR+imKcl1RlHhFUf5VFKVOZh+TTCmKMl5RFD7xE5LZxyVSiqLUVRRlk6Iod1POt80T7ysp43JXUZQ4RVH2KIpSJpMOV4gsGIMlT7ku/s6kwxUiRVFGKopyVFGUKEVR7iuKsl5RlBJPbGPX14KFY2DX14KiKH0VRTmtKEpkys9hRVGapnnfrq8BTRaMg11fB08q5btBRVFmpXnNptfCKxk4KYrSAcAsAF8BqAhgP4BtiqL4Z+ZxZYLOAsid5qdc5h6OcLkDOAVgwDPeHw5gSMr7rwMIAbBDUZRscg5PitIbAwD4A/+9LppJOC6ZqgezCV51AI1g7oCwXVEU9zTb2Pu1YMkYAPZ9LdwG8BmAKik/uwBsSPMH0d6vAU3pjQNg39dBqhRFeR1ALwCnn3jLttcCyVfuB8ARAAueeO08gMmZfWwSx2A8gJOZfRyZeP4E0CbN/ysAggGMSPOaM4BwAL0z+3hljEHKa0sArM/sY5M8Dn4pY1E3C18L/xmDLHwtPALQMyteA08bh6x0HQDwAHAJQEMAewDMSnnd5tfCK5dxUhTFCUBlANufeGs7gJryjyhTVSwl9XhdUZSViqIUzuwDykQVAvAa0lwXJBMA7EXWuy7qp0zfXFIUZZGiKDkz+4AEyyvlv49S/psVr4Unx0BTlrgWFEUxKorSEeaM7GFkzWvgaeOgKStcB/MAbCH51xOv2/xaeOma/FqgHACMAO498fo9mAcnq+gIgPdhjrBzARgD4JCiKGVIPszUI8scab/7p10XBSQfS2ZqG4A1AG7CfMP4EsAuRVEqp9ws7EqKoigAZgA4QPJMystZ6lp4xhgAWeBaUBSlHMwBgguAaABtSZ5TFEX7g5hVroGnjkPK21nhOugIoBLM03BPyub3g1cxcNL0pOW58pTX7FYkt6X530BFUQ4DuArgA5hvollVWf26WJXmf88oinIM5htmcwC/Zc5RCdW3AAIA1H7Ke1nlWnjqGGSRa+EigAoAvAG8DWCpoij10ryfVa6Bp44DyXP2fh0oipIfwGwAjUnGP2dTm10Lr9xUHYAHAEz4/+xSTvx/RJllRDIGQCCAYpl9LJkkbUWhfl2kEclgmG+SdnddKIoyF0ArAA1I3k7zVpa5Fp4zBv8ne7wWSCaSvELyGMmRMC+cGIQsdA0Azx2Hp21rb9dBZZh/r/8qipKsKEoyzIsnBqb8W/t92+xaeOUCJ5KJAP6FeSVJWjUCcEj+Eb0cUhTFGUApmIvgsqKuw3yzTL0uUurh6iFrXxe+APLDjq6LlKXF3wJoB+ANktef2MTurwULxuBpn7G7a+EpUmAu/LX7ayAdaePw/2/Y33WwE+YV5RXS/BwDsDzl39dg42vhVZ2qmwFgWUrK8TDMyw/9AXyXqUclUYqiTAOwCcAtmCPnMQA8ASzNzOMSKUVRPAAUTfNSIUVRKgB4RPJWim/HKEVRLgO4DGAUgFgAK2Qfqyg9bwxSfsYDWAfzTbEggEkwZ2l/l3mcgjUPQCcArQFEKYqiPUlGkIwjySxwLTx3DFKuk/Gw42tBUZRJMNfvBAHIBqAjgPoA3soi1wCA549DVrgOSEYBSFvbB0VRYgA81Gr+bH4tZPYSwhdYetgPwA0ACTBnoOpm9jFJPv+VAO4CSARwB+YvRunMPi7B51wf5jnpJ3+WpLyvwHyTCAYQD/OqibKZfdyyxgCAK4A/AdxPuS5upryeP7OP28Zj8LTzJ4Buabax62shvTHICtcCgB/T/A24D+AvAI2yyjVgyThkhevgGWOyByl2BCKuBSVlp7p06dKlS5cuXbrS0StX46RLly5dunTp0pVZ0gMnXbp06dKlS5cuC6UHTrp06dKlS5cuXRZKD5x06dKlS5cuXboslB446dKlS5cuXbp0WSg9cNKlS5cuXbp06bJQeuCkS5cuXbp06dJlofTASZcuXbp06dKly0LpgZMuXbp06dKlS5eF0gMnXbp06dKlS5cuC6UHTrp06dKlS5cuXRZKD5x06dKlS5cuXbos1P8A35Y7DXfBKZQAAAAASUVORK5CYII=\n", "text/plain": [ "Graphics object consisting of 2 graphics primitives" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "desolve_rk4(diffeq,N, ics=[0,10],step=1, end_points=40, output='slope_field')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "\n", "Como podemos ver, a competição desacelera o crescimento da população devido à mortalidade gerada pela escassez de recursos. Dada esta observação, uma outra forma de obtermos o mesmo resultado é imaginndo que o ambiente consegue suportar um número máximo de indivíduos (digamos: 60), devido a limitação dos recursos, e introduzir este limite explícitamente no modelo:\n", "\n", "$$\\frac{dN}{dt}=0.3N*(1-\\frac{N}{60})$$\n", "\n", "Assim não temos mais uma mortalidade explícita, mas uma desaceleração gradual da taxa de crescimento à medida em que $N$ se aproxima de $60$. A esta dinâmica chamamos **crescimento logístico**.\n" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "ExecuteTime": { "end_time": "2021-09-08T13:06:42.038998Z", "start_time": "2021-09-08T13:06:41.334795Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "Graphics object consisting of 2 graphics primitives" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "var('r K t')\n", "diffeq2 = diff(N, t) == r*N*(1-N/K)\n", "desolve_rk4(diffeq2(r=0.3, K=60),N, ics=[0,10],step=1, end_points=40, output='slope_field',)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "ExecuteTime": { "end_time": "2021-09-08T13:09:49.024359Z", "start_time": "2021-09-08T13:09:48.877093Z" } }, "outputs": [ { "data": { "text/html": [ "" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}-\\frac{\\log\\left(-K + N\\left(t\\right)\\right) - \\log\\left(N\\left(t\\right)\\right)}{r} = C + t$$" ], "text/plain": [ "-(log(-K + N(t)) - log(N(t)))/r == _C + t" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sol = desolve(diffeq2,dvar=N, ivar=t)#, ics=(0,10))\n", "show(sol)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "ExecuteTime": { "end_time": "2021-09-08T13:10:10.454860Z", "start_time": "2021-09-08T13:10:10.438061Z" } }, "outputs": [ { "data": { "text/html": [ "" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}N\\left(t\\right) = \\frac{K e^{\\left(C r + r t\\right)}}{e^{\\left(C r + r t\\right)} - 1}$$" ], "text/plain": [ "N(t) == K*e^(_C*r + r*t)/(e^(_C*r + r*t) - 1)" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Nt = solve(sol.simplify_log(),N)[0]\n", "Nt" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "## Modelos de 2 ou mais populações\n", "\n", "Dinâmicas mais interessantes sugem quando consideramos a interação entre populações. Nos modelos acima, vimos que as populações podem se autoregular por meio da redução da taxa de crescimento da população à medida que esta se aproxima da capacidade de suporte da população. No entanto é muito comum encontrarmos multiplas populações que se influenciam entre si por meio de suas interações ecológicas. Um exemplo clássico são as interações competitivas.\n", "## O Modelo de Lotka-Volterra para competição\n", "\n", "Neste modelo as densidades de ambas as espécies apresentam o termo logístico já visto, para gerar uma dependência da densidade intra-específica. A este termo é adicionado um componente de competição interespecífica, ponderado por um coeficiente de competição que reflete o quando as duas espécies competem pelos mesmo recursos, ou a magnitude da sobreposição entre seus nichos. \n", "\n", "$$\\frac{dN_1}{dt} = r_1N_1\\left(\\frac{K_1-(N_1+\\alpha N_2)}{K_1}\\right)$$\n", "\n", "$$\\frac{dN_2}{dt} = r_2N_2\\left(\\frac{K_2-(N_2+\\beta N_1)}{K_2}\\right)$$\n", "\n", "onde $N_1$ e $N_2$ representam as densidades das espécies 1 e 2 respectivamente, $r_1$ e $r_2$ são as taxas intrínsecas de crescimento e $\\alpha$ e $\\beta$ representam a quantidade das capacidades de suporte, $K_1$ e $K_2$, da cada espécie que são utilizadas pela outra espécie.\n" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "ExecuteTime": { "end_time": "2021-09-08T13:16:45.275858Z", "start_time": "2021-09-08T13:16:45.266564Z" } }, "outputs": [ { "data": { "text/html": [ "" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}-\\frac{{\\left(N_{2} \\alpha - K_{1} + N_{1}\\right)} N_{1} r_{1}}{K_{1}}$$" ], "text/plain": [ "-(N_2*alpha - K_1 + N_1)*N_1*r_1/K_1" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}-\\frac{{\\left(N_{1} \\beta - K_{2} + N_{2}\\right)} N_{2} r_{2}}{K_{2}}$$" ], "text/plain": [ "-(N_1*beta - K_2 + N_2)*N_2*r_2/K_2" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "var(\"N_1 N_2 K_1 K_2 r_1 r_2 alpha beta t\")\n", "de1 = r_1*N_1*((K_1-(N_1+alpha*N_2))/K_1)\n", "de2 = r_2*N_2*((K_2-(N_2+beta*N_1))/K_2)\n", "show(de1)\n", "show(de2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Podemos encontrar os equilíbrios deste sistema" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "ExecuteTime": { "end_time": "2021-09-08T13:17:06.327061Z", "start_time": "2021-09-08T13:17:06.305722Z" } }, "outputs": [ { "data": { "text/html": [ "" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left[\\left[N_{1} = 0, N_{2} = 0\\right], \\left[N_{1} = K_{1}, N_{2} = 0\\right], \\left[N_{1} = 0, N_{2} = K_{2}\\right], \\left[N_{1} = \\frac{K_{2} \\alpha - K_{1}}{\\alpha \\beta - 1}, N_{2} = \\frac{K_{1} \\beta - K_{2}}{\\alpha \\beta - 1}\\right]\\right]$$" ], "text/plain": [ "[[N_1 == 0, N_2 == 0], [N_1 == K_1, N_2 == 0], [N_1 == 0, N_2 == K_2], [N_1 == (K_2*alpha - K_1)/(alpha*beta - 1), N_2 == (K_1*beta - K_2)/(alpha*beta - 1)]]" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "eqs = solve([de1,de2], [N_1,N_2])\n", "eqs" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "ExecuteTime": { "end_time": "2021-09-08T13:19:42.983531Z", "start_time": "2021-09-08T13:19:41.588694Z" } }, "outputs": [], "source": [ "res = desolve_system_rk4([de1(r_1=0.9,K_1=500,alpha=0.6),de2(r_2=0.5,K_2=700,beta=0.7)],[N_1,N_2], ics=[0,10,20],ivar=t,step=0.1, end_points=140)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "ExecuteTime": { "end_time": "2021-09-08T13:19:45.570348Z", "start_time": "2021-09-08T13:19:44.347987Z" } }, "outputs": [ { "data": { "image/png": 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8fHbaaSfWrFnDrFmz6NatG/n5+akOK0ptbS01NTVUVVUl5HxKltLR+vXwyivR9Y89lvRQREQku+Tn51NUVERubi7r169PdTitKioqoqCgoEPnULKUjn74w+i6M86ADv4wiIiItEVhYSGnnHJKwkZuOlNBQQGFhYUdOofmLKWb8nIoLg7W5eTApk3QBYdCRUREupi45yxp6YB08+MfR9eddpoSJRERkU4SV7JkZleZmYt4lIYdt1CbFWa2ycxeNrOdIs5RYGY3mdlqM6s0syfNbEiivlBG27Qpel6SGdx+e2riERERyQLtGVlaBAwOe+wSduxy4BLgAmAMUAo8b2a9w9pMA04ATgX2A3oBs8wstx2xZJff/CZ6XaXjj4cOXosVERGR5sU1Z8nMrgImOOd2i3HMgBXANOfcn0N1BcBK4Arn3O1mVgysAn7knPtnqM1WwHLgKOfcs2jOUvO6d4fIyXTr10fPYRIREZHmJGXO0g6hy2xLzexhM9s2VD8CGAQ07rXhnKsC5gD7hqpGA90i2qwAFoa1iVJVVUV5eXngkXVmzIhOlMaNU6IkIiLSyeJNlt4EzgIOB87FJ0evm1nf0GvwI0nhVoYdGwRUO+fWtdAmytSpUykuLm58DB06NM6wM8Bll0XXzZiR/DhERESyTFzJknPuGefco865D51zs4GjQ4fODm8W8TaLURepxTZTpkyhrKys8bF8+fJ4wk5/ixfDyogcdNgwGDEiNfGIiIhkkQ4tSumcqzSzD4EdgMdD1YOAb8OaDaBptKkUyDezPhGjSwOA15v7nIKCgg6vvpnWzjsvum769OTHISIikoU6tM5SaAL39/HJ0VJ8MnRo2PF8YDxNidA7QE1Em8HAzrSQLGW1ykp47bVgXa9ecMwxqYlHREQky8Q1smRm1wP/Ab7Cjwb9FigC7nPOOTObBlxpZkuAJcCVwEbgQQDnXJmZ3QX8xczWAGuB64EPgdkJ+UaZZupUiNzd+fzzUxOLiIhIFor3MtwQ4CGgH34JgDeAsc65L0PHrwN6ALcAffATwg9zzlWEneNioBZ4JNT2BeAc51xde79ERrvllmA5Jwf+8IfUxCIiIpKFtDdcV/buuzB6dLBuv/3g1VdTE4+IiEj6095wGeXXv46uu/HG5MchIiKSxTSy1JXl5gbnK22xBayLXKJKRERE4qCRpYxxzz3RE7snT05NLCIiIllMI0td1fbbw+efB+vKy6F379jtRUREpC0ye2Rp+vTplJSUMGbMmFSH0rnWro1OlEaNUqIkIiKSAhpZ6oquuAKuuy5Y969/wQ9/mJp4REREMkfcI0tKlrqiAQNg1aqmcn6+X8k7r0O704iIiEimX4bLCsuWBRMlgMMPV6IkIiKSIkqWupprr42u+/3vkx+HiIiIAEqWup5//ztY7tUL9twzNbGIiIiIkqUuZdmy6EUnjz8+JaGIiIiIp2SpK5k6NbruqquSHoaIiIg0UbLUlcycGSwXF/vFKUVERCRllCx1FUuXwurVwboJE1ISioiIiDRRstRV3HhjdN1llyU/DhEREQlIq2Qpo7c7efjhYLm4GHbaKTWxiIiISCOt4N0VfPstbLVVsO7ss+Hee1MSjoiISAbTCt5p6e67o+smT05+HCIiIhJFyVJX8MADwXKvXjB6dGpiERERkQAlS6lWUwOffBKs239/yNE/jYiISFegv8ip9q9/QX19sO6SS1ITi4iIiERRspRqd9wRLOfmwiGHpCYWERERiaJkKZWcgzffDNZl4rIIIiIiaUzJUiotWACbNgXrTj89NbGIiIhITEqWUilyyQAzOO201MQiIiIiMSlZSqXHHguWBw2Cfv1SE4uIiIjEpGQpVdasga+/DtadeGJqYhEREZFmpVWylFF7wz35pJ/gHe7ss1MTi4iIiDRLe8OlypFHwn//21Tu2RPKy/3SASIiItJZtDdc2nj11WB5112VKImIiHRBSpZSYfFiqKwM1v3kJ6mJRURERFqkZCkVHnwwum7ixOTHISIiIq1SspQKzz4bLG+1FRQXpyYWERERaZGSpWSrr4f33gvWHXBAamIRERGRVilZSra33oK6umDdmWemJhYRERFplZKlZLv//mA5L88vIyAiIiJdkpKlZJs9O1geMQJy9M8gIiLSVemvdDJVVMCSJcG6Y45JTSwiIiLSJmmVLKX9dievv+4neIfTkgEiIiJdmrY7Sabzz4dbb20q9+gBZWXQrVvqYhIREcku2u6kS3v66WB5hx2UKImIiHRxSpaSpaICvvkmWDdhQkpCERERkbZTspQsc+dCbW2w7qSTUhOLiIiItJmSpWR58slguaAAvv/91MQiIiIibaZkKVmeey5YHjVK85VERETSgJKlZFm6NFg+9NDUxCEiIiJx6VCyZGZTzMyZ2bSwOjOzq8xshZltMrOXzWyniPcVmNlNZrbazCrN7EkzG9KRWLq0F1+MXl9J85VERETSQruTJTMbA/wcWBBx6HLgEuACYAxQCjxvZr3D2kwDTgBOBfYDegGzzCy3vfF0aU88ESzn5sIee6QmFhEREYlLXnveZGa9gAeAc4HfhtUb8Cvgj865maG6s4GVwOnA7WZWDPwU+JFzbnaozZnAcuCQWJ9XVVVFVVVVY7m8vLw9YafO668Hy6NGpSYOERERiVt7R5amA081JDthRgCDgMbZzM65KmAOsG+oajTQLaLNCmBhWJuAqVOnUlxc3PgYOnRoO8NOgepq+OCDYN0PfpCaWERERCRucSdLZnYqsAcwJcbhQaHnlRH1K8OODQKqnXPrWmgTMGXKFMrKyhofy5cvjzfs1FmyBGpqgnXaPFdERCRtxHUZzsyGAjcAhznnNrfQNHJ/N4tRF3X65toUFBRQUFDQ5ji7lFmzguX8fBg7NjWxiIiISNziHVkaDQwA3jGzWjOrBcYDF4VeN4woRY4QDQg7Vgrkm1mfFtpkjv/8J1geMsRvoCsiIiJpId5k6QVgF2C3sMfb+MneuwFf4JOhxkWEzCwfn1A1zHJ+B6iJaDMY2DmsTeb4+ONgWesriYiIpJW4LsM55yrwE7EbmVklsMY5tzBUngZcaWZLgCXAlcBG4MHQOcrM7C7gL2a2BlgLXA98CEROGE9vS5bAmjXBuiOPTE0sIiIi0i7tWjqgFdcBPYBbgD7Am/g5ThVhbS4GaoFHQm1fAM5xztV1QjypE7lkAMBeeyU/DhEREWk3c661eddJ12pA5eXlFBcXU1ZWRlFRUTJiap9zzoH77msqDxkC6XQnn4iISOaxeN+gveE604svBsu77JKaOERERKTdlCx1lpoa+PbbYN3RR6cmFhEREWk3JUud5aWXoLY2WKfFKEVERNJOWiVL06dPp6SkhDFjxqQ6lNbNjrixLz8f0mmbFhEREQE0wbvzHHSQH11qsM8+se+OExERkWTSBO8uwTl4881g3d57pyYWERER6RAlS51h7VrYuDFYp5W7RURE0pKSpc4QuR9cXh7sv39qYhEREZEOUbLUGZ57Llju1w96905NLCIiItIhSpY6w4cfBsvjxqUmDhEREekwJUuJtmEDfPppsE6X4ERERNKWkqVE++ILqK4O1v3gB6mJRURERDpMyVKi/fe/wXLPnjByZGpiERERkQ5TspRor70WLG+7LXTvnppYREREpMOULCXa228Hy/vsk5o4REREJCHSKlnq8nvDrV8Pq1cH6w44ICWhiIiISGJob7hEmj07eqXuVav8OksiIiLSFWhvuJSaMydY7t0bttwyNbGIiIhIQihZSqTI+UqjR0OOulhERCSd6S95Ir3xRrC8xx6piUNEREQSRslSG5x3HhQWQn4+jBoFpaUxGlVXQ1lZsE4rd4uIiKQ9JUstqK72SdJtt8HGjVBT47d9GzwYrroqovF//gPhk+Vzc+Hgg5MZroiIiHQCJUstGD7cJ0mxXH01/PGPYRVvvRVs0KuXn+AtIiIiaU3JUjNuuQW+/bblNr/9Lbz/fqgwf37w4F57dUZYIiIikmRKlprxm9+0rd0++wD19bBgQfCAkiUREZGMoGQphtdeg4qKYF3Pnn5aUqTNm+E355TCmjXBA5GLU4qIiEhaSqtkKVnbnfz+99F1s2fDMcfA//5v9LH3Z3wQrMjNhZEjOyc4ERERSSptdxJD9+5QVdVUHjAAVq5sKg8bBsuXN5Wv4Ur+h6lNFVtvDV9/nfC4REREpMO03UlHvf9+MFECuPDCYDlyLvd4IrY52XHHhMclIiIiqaFkKcI//xksm/lFKcMNHAgTJjSVt+OLYIMDD+yM0ERERCQFlCxFePrpYHnrraFv3+h2//ynT6SGs5SBNC3p7UCTu0VERDKIkqUw1dXw2WfBuvARpHD5+XDaaTCCLwKdaADbbNM5AYqIiEjSKVkK88UX0St2n3RS8+3vvBMO5flA3TdsRW3/wZ0QnYiIiKSCkqUwL78cLOflwW67Nd++Rw84vO+7gbqF7MSf/pTw0ERERCRFlCyFady6JGS77WCLLVp+z261bwfKcxnH//1fQsMSERGRFFKyFObVV4Pl0aNbecPGjeRUBpf6XsgulJfDs88mNjYRERFJDSVLYcIXnoTQvm8tmT0bamsbi/UYT3IsEL02k4iIiKSntEqWOnO7kyVLYO3aprIZHHtsK29avDhQrKA3dXRrPN+qVQkOUkRERJIurZKlyZMns3jxYuZHLqGdAMuXQ/jOL85Bnz6tvGnevEDxTfYKlC+4IEHBiYiISMqkVbLUmSIGiSgpgVa3nYuYEb7IRgXKjz0WTMBEREQk/ShZCokcrNpuu1beUF4OX30VqKre/6BAuabGr8UkIiIi6UvJUkhF8KY29tordrtGEYkSOTn89M/RG+hefXXH4hIREZHUUrKEv1QWuSfcrru28qbZs4Pl4mL6jd2eHSPypW++gU8+6XCIIiIikiJKlvB3vuXlBet69GjlTW+8ESxvuy0Af/lLdNOLLmp/bCIiIpJaSpaAjz6Cqqqm8tZbw8EHt/KmhQuD5XHjADjqKOjZM3goYjkmERERSSNxJUtmdp6ZLTCz8tBjnpkdGXbczOwqM1thZpvM7GUz2yniHAVmdpOZrTazSjN70syGJOoLtcdbbwWTmbIyP9rUrMpKWLo0WDd2LODf94tfBA/V18MNNyQmVhEREUmueEeWvgZ+A+wZerwIPBGWEF0OXAJcAIwBSoHnzax32DmmAScApwL7Ab2AWWaW287v0GHbbx9Mjlqd3L1sGWzcGKzbY4/Gl9dcE/2WqVPbHZ6IiIikUFzJknPuP865p51zn4Ye/wNsAMaamQG/Av7onJvpnFsInA30BE4HMLNi4KfApc652c6594AzgV2AQ5r73KqqKsrLywOPRLr77uB6SAce2MobInfcLSyEoUMbiz17wu67B5usWQOLFnUkShEREUmFds9ZMrNcMzsVKATmASOAQcBzDW2cc1XAHGDfUNVooFtEmxXAwrA2UaZOnUpxcXHjY2hYYpIIX34ZLH/3XStvePPNYHm77aImKk2bFv02regtIiKSfuJOlsxsFzPbAFQBtwEnOOcW4xMlgIjtaFkZdmwQUO2cW9dCmyhTpkyhrKys8bF8+fJ4w27Rzjs3vc7NhZNPbuUNr7/e/AlCDjggegXwV16BzZvbF6OIiIikRntGlj4BdgPGArcC95lZSdjxyA0+LEZdpBbbFBQUUFRUFHgkSmUl3HFHU9k5GDaslTd98UWwvM8+MZtNmhQs19fDtdfGH6OIiIikTtzJknOu2jn3mXPubefcFOAD4Jf4ydwQPUI0gKbRplIg38wit6gNb5NUZWXBudr19bBqVQtv+PJLv9VJAzM/jBTD734XfVfdjTe2P1YRERFJvkSss2RAAbAUnwwd2njALB8YDzRct3oHqIloMxjYOaxNUm21FXz/+03l0aNh1Kjm27NoEdTVNZWda3YjuV69ogedysrg1VfbH6+IiIgkV7zrLF1rZvub2fDQ3KU/AgcCDzjnHH5ZgCvN7AQz2xm4F9gIPAjgnCsD7gL+YmYHm9nuwP3Ah8DsqA9Mgkcf9YtSNthqK8jPb+ENkZO7hw71d8M14+abo+u0oreIiEj6yGu9ScBAYAYwGCgDFgBHOOeeDx2/DugB3AL0Ad4EDnPOhW9TezFQCzwSavsCcI5zLmy4Jnki921bsqSVN0QuG7Dbbi0233132HJLWLs2eIoNG/zIk4iIiHRt8a6z9FPn3HDnXIFzboBz7pCwRAnnXeWcG+yc6+6cGx9abyn8HJudcxc65/o653o65451ziX29rY4HHlkcF+4E05o5Q1vvx0sjxnT6mf89rfRdZdf3npsIiIiknpZvzfcQw81bXWSlwc//GELjWtqYMWKYF0rI0sAv/wl5ET0dORCmCIiItI1ZX2y9MQTTa9ra+G555pvywcfBMt5ebDnnq1+Rk4OHHFEsK6qyidqIiIi0rVlfbL0ve+1XA6IvATXowcMHtymz4k10fs3v2nTW0VERCSFlCyFkiMzfwluwoQWGr/xRuw3t8GIETB8eLBu+XL4+OM2n0JERERSIK2SpenTp1NSUsKYNkyqbotPPoHrrvOvnYPHHw+uNxklcifcvfaK6/MaPitc5CrfIiIi0rWY63qzjFsNqLy8nOLiYsrKyjq09cm77/pFKMN99x307x+jcVUVDBgQzKYeeABOP73Nn+ecX5Jp06ZgfWVl1D68IiIi0jms9SZBaTWylGi77QYHHthUPv/8ZhIlgG+/jR52Cl/6uw3MYPLk6PorrojrNCIiIpJEWZ0szZ3rHw2a2Q/Xi5xc1LMnbL993J8ZayPd8I18RUREpGvJ6mTp4Yf90kkN/vGPFhq/HrF13dZbQ+/ecX9mt25w0EHBuqoquOeeuE8lIiIiSZDVydKwYS2XA+bPD5ZLStr9uX//e3TdZZe1+3QiIiLSibI6Wfrxj33O06MH7Ltv7LvVGkXeCbf33u3+3O22i15GYM0amDOn3acUERGRTpLVydKZZ8Lixf7utHfegZUrm2lYVgarVwfr4lw2INLtt0fX/eQnHTqliIiIdIKsTpbCJ3dXVUUv0N3oww+j7/cfNapDn33YYbDFFsG6L76Azz7r0GlFREQkwbI6WRo7tul1fn70mkuNvvwyWN5iC+jTp8OfH+vOuDiWbRIREZEkyOpkadIk2GYbP7H7vvtamLP98svB8s47+010O+i883ySFm7+fFi3rsOnFhERkQRJq2QpkdudfPyxn7P05Zfw1Vdw/fUtNF64MFiOY0+41lx0UXTdaacl7PQiIiLSQVm73cm//w0TJzaVc3Kgttavsh2loACqq5vK994LZ5/drs+NVFvrR5ci/xnKy9u1jJOIiIi0TNudtNVeewWTkYMOaiZRKi+PzmTasXJ3c/LyYo8knXVWwj5CREREOiBrk6UhQ+BnP/NrHh15JMyc2UzDZ58NLvOdlwfjxiU0lljLCDzxBGzYkNCPERERkXbI2mTpuuvgb3+Dzz+HZ56Bf/6zmYbffhss9+uX8Fh69YJjjgnWOQfnnJPwjxIREZE4ZW2yFL7GEsBrrzXT8IUXguXw9QYS6MEHo+tmzoxe3klERESSK2uTpcgrac1eWYtcYymB85XC9e4NRxwRrHMOTj21Uz5ORERE2ihr74bbtMkvHfD5536C9RVXxGhUUQGR5589Gw4+uF2f2ZpYHwe6M05ERCSBdDdcW51wgr/M9cEHcOedPlGJEj6xu0HkHiUJ1Ls3HH54dP2xx3baR4qIiEgrsjJZWr/e3+TW4LPP/Ea6UR57LFju27eFPVES45FHouvmzIHlyzv1Y0VERKQZWZks9e4dvKktLw+GDo3RcNmyYLlv384MC/CX4U46Kbo+1oiTiIiIdL60SpYStd1Jbi48/rjf4u1734P77/frLUWJvEVuv/069Lltdf/90QtkfvQRvP12Uj5eREREwqRVsjR58mQWL17M/PnzO3Seykr49a/9lm/LlkGPHs00/OqrYHnEiA59blt17w4XXhhdr9ElERGR5EurZClRHngA3njDv968GS67LEaj774LThQyS+pM6xtugG7dgnVr18JddyUtBBERESFLk6XIS1wx94T75pvg3XDOQXFxp8YVadq06LpJk6C+PqlhiIiIZLWsTJbOPLNp+lHPnvDXv8Zo9N57wfKgQc3MAu88558fnZ/V1sbeeFdEREQ6R1YmSzU1fiHu3XeHyy+Ho46K0SgyWRoxws8MT7Knn46ue+QRP/AlIiIinS8v1QGkwgUXwIwZ/vV77/k74k45JaLR++8Hy7vtloTIou27r79rb+HCYP3ee8PXX6ckJBERkaySlSNLkYlHZBmADz8MlnffvdPiac28edF133wDd9+d/FhERESyTVYmS0cf3fQ6NzfGLfllZVBV1VQ2g1GjkhJbLL16wUUXRdefe27sHVlEREQkcbJyI926Oj9XaflyP4n6wAMjGsyaFVwmwMwnT5H38idZYSFs3Bis2313ePfd1MQjIiKShuLeSDfr5iw5Byef7DfRBT+yFJUsrVsXLPfrl/JECeD552HcuGDde+/Bo4/G3iJFREREOi6tLsMlYruTTz5pSpQAHn4Yli6NaBR5C1oHt1dJlH33hQMOiK4/+WS/pICIiIgkXlolS4nY7qRXL8gJ+9a5ub4uIPK+/OHD2/15ifbii8H4wS9SmcL55yIiIhktrZKlRBgyxG8lkp8PBQVwyy3Qv39Yg5qapr1QGhxxRFJjbEluLjz5ZHT9woX+u4iIiEhiZV2yBLBpk1+n6Mc/hjPOiDjoXPQ1rd69kxZbWxx9NIwdG10/eTKsXJn8eERERDJZ1k3wnjHD3wkH8OqrPje67bawBk8/7SsbFBXFniiUYq+/7kfGIpcO2G472LAhNTGJiIhkoqwbWfrgg2B5wYKIBl9+GSz37Bk9SagLMPPJXqTKyhh394mIiEi7db0soJMdfrhPNBpETUd6881ged99Oz2m9mq4lBhpzhy48cbkxyMiIpKJsi5ZOvRQv1zAj37kL7/97ncRDT7+OFjebrukxdYed98NAwZE1//yl81s4yIiIiJxiStZMrMpZjbfzCrM7Dsze9zMdoxoY2Z2lZmtMLNNZvayme0U0abAzG4ys9VmVmlmT5rZkER8odY8+iicdZafu/TQQ8FdTaiqir4Md9BByQirQ5YuDY6WNdh1Vz+ZXURERNov3pGl8cB0YCxwKH6C+HNmVhjW5nLgEuACYAxQCjxvZuG3lE0DTgBOBfYDegGzzCy3Hd8hLpde2pQgzZkDjzwSdnDZMli7NviGoUM7O6QO69kTXnopur6+Pvaok4iIiLRdXMmSc+4I59y9zrlFzrkPgB8Dw4DR4EeVgF8Bf3TOzXTOLQTOBnoCp4faFAM/BS51zs12zr0HnAnsAhySmK/VdoERmfXrgwd79UqLZAlg/Hi44oro+g0bYNttkx+PiIhIpujonKXi0HPDcMwIYBDwXEMD51wVMAdomCk9GugW0WYFsDCsTUBVVRXl5eWBR3v99a/+lnvwd42dfHLYwVmzgo232cYvHZAm/vSn2OsvLV0K+++f/HhEREQyQbuTpdAo0l+B10IjSOATJYDIpRFXhh0bBFQ759a10CZg6tSpFBcXNz6GdmC0Z7fdYNIkuOQSeOKJpsQJgBUrgo1HjGj356TKvHnQt290/WuvwYknJj8eERGRdNeRkaWbgVHAaTGOuYiyxaiL1GybKVOmUFZW1vhYvnx53MECrF7tVwK44QY/wjRhQkSDyIk/48a163NSbeVK6NYtuv6xx+AnP0l+PCIiIumsXSt4m9lNwHHAAc65r8MOlYaeBwHfhtUPoGm0qRTIN7M+EaNLA4DXY31eQUEBBYEhoPaZPz+4HchLL/m7xXr0CFVUVATfMCjmQFeXl5sL330HffpEH7vnHj+aduutyY9LREQkHcW7dICZ2c3AicBBzrmlEU2W4pOhQ8Pek4+/i64hEXoHqIloMxjYmWaSpUQZOdJvoNtg223DEqX33/dDTw1ycmDixM4Mp1NtsQV8/nnsY7fdBmefndRwRERE0la8l+Gm4+9cOx2oMLNBoUcPAOecwy8LcKWZnWBmOwP3AhuBB0NtyoC7gL+Y2cFmtjtwP/AhMLvjX6l5223n11naf3+/Ge0zz4QdjFwyoL4+uEdcGtp2W3jjjdjH/vEP3wciIiLSsniTpfPwd8C9jL/M1vA4JazNdfiE6RbgbWBr4DDnXPg1rouBx4FHgLn4ZOpY51xdvF8gHhUVcNddfpHuvDwYPDjs4Ny5wcZ77OGXDkhze+/t15OK5emnYffdkxuPiIhIuol3nSVr5nFvWBvnnLvKOTfYOdfdOTc+7G65hjabnXMXOuf6Oud6OueOdc61b9Z2HP73f+Hxx2HVKn8n3FVXhR2M3OYkTdZXaosDDmg+YXr/fejXL6nhiIiIpJWs2hvum29aKH/4YfDg+PGdHk8yHXCAX1YgljVr/N1z4VO2RERExMuqZOnss/3lN/DPjZOc6+th0aJg4222SWpsyTB2LHz6aexjtbXQv78fcRMREZEmWZUsHX443HknXHghvPIKHHlk6MDatf5++wa5ubDzzimJsbPtsAOUlQW/brgJE+D445MakoiISJfWrnWW0tVvfgN//rN//c478OKLoRW8n3kGamqaGhYU+HUGMlRRkf+6ffvCush11IEnn/Rz20tLM2KOu4iISIek1cjS9OnTKSkpYcyYMXG/t6YGrr++qfz66/Dyy6FC5GKUgdvkMpOZH1BrrisrK6F372CfiYiIZKO0SpYmT57M4sWLmT9/ftzvzcuDnj2DdcUN2wA//XTwwL4x9/PNSG+95e8SbM5ll/m75SorkxeTiIhIV5JWyVJHmMGMGX60JCcHLr/cT3gG/N4g4dJ0m5P2+t3v4JNPfL/EsmaNvxx34YXJjUtERKQryJpkCfyk5oMOgnPP9fOXANiwARYsCDZM421O2mvkSKira3mq1s03+xG6V15JXlwiIiKpljUTvN9919/pVRdaI/zLL0PbnVRUQFVVsHFzQyxZ4JNP/B2D554b+3hdnV+Cqk8fWLgQttoqufGJiIgkW9ZkBe+805QogZ+rA8AHHwQb9usHo0YlLa6u6Gc/g+pqGDKk+Tbr1sHWW8OwYX4pAhERkUyVNcnSPvtAfn5T+YADQi/eeSfYcMst/XLWWa5bN1i+HP7975bbLV8OW2zhE6fS0qSEJiIiklRZkyztvLNfnfqkk+CKK+D++0MHIpe01s6yASedBM7Bsce23G7FCr/iQu/e0XsSi4iIpLOsSZbefRfOOgsefRSeego2bQodePPNYMNddkl6bOngySf98gHDhrXcbsMG2G8/f/fh+ef7REtERCSdZU2ydOWVsGqVf71wIdxwA35PuPXrgw2/971kh5Y2evb0E+O//NJfemvNrbf6ufL9+2u0SURE0lfWJEvhk7sby++/DytXBg80TmaS5gwb5id4f/KJn+LVmtWrm0abSkpgyZLOj1FERCRR0ipZ6sh2J1df3bRi93bbhRZYjMyg8vJCm8VJW4wc6Res/O47GD68be/56CP/PjP/nldf7cwIRUREOi6tkqWObHcyZAiceKJ/PPZYaPu3J54INtp1V7/LrMSlf39YuhRqa+GEE9r+vi+/9AN5ZtCjB0yaFDaXTEREpItIq2Spvaqq4Ac/gHvugZkz4cgj/URkli8PNuzfPyXxZYrcXN+/zsGsWf7OuLbavBluv93PizLzc6IuvRQ2buy0cEVERNokK5Klb76BL74Ilj//HIgcoTrqqKTGlcmOPhrKy/2VzvPO84lUPMrK4K9/hcJCnzzl5/u9/P77386JV0REpDlZkSxttVVwNer+/WHECPy1o3B9+iQ1rmyQkwO33OIv0W3aBKee2r7dZGpq/CoPRx7pk6eGBKqkBK6/XiNQIiLSebIiWere3a+tdMQRcPzx8MILULT+K/8XvEFent/0TDpN9+7w0EN+tKm+Hn7/e+jVq/3nq6nxE8Yvu6xpBKohiRoxwu9v9/bbiYtfRESyk7mut2pgqwGVl5dTXFxMWVkZRW2YkL16Ney/P3z8sZ9I/PjjcFj5v2HixKZGZv6vuFlHYpd2+vRTn9zMnRt9k2Ii5eT4BG34cD+5/MQT/XO8lwlFRCRtxf2HPitGlu64wydK4C8F/e53+Awq3A47KFFKoZEjYc4cP9jnHCxaBIceGtzPLxHq6/1cqgUL4Oab4aCD/KBiw6hUw6OgAPr29dvknHACTJ0K8+b50SwREckueakOIBki98Xt1o3omcLaE65LKSmB555rKtfV+aT3hhvgs8+CV1A7Q3U1rF3rH4sW+dHI1uTk+CSre3d/J+CWW/r5ckOH+rW9Skr8AvHDhmmvZhGRdJIVl+EqKuCQQ+Ctt/wfsFmzYJ+Lxwb3hZsyBa69tkOBS/LNmePvmnvtNZ/YZKrcXJ+M5eX513l5PuHq3r3p0bOnf/To4S81Fhf7ZcOKi33ytsUW/ue/d29/L0NxsZ/r1bOnT/IaRthERDJc3L/psmJkad06/8djm23gzDNhn103+swp3KGHpiY46ZDx42PPy//6a/j73+E///EjUZWV6b2pb12df+gyYPI1JJANPz/h5ZycYH34z1h4u8gkNLJtrGPNfW68sUd+Tvj5I2NvS12DyBgj4wt/b/hz+Pliva+1uCNfR/47hLdvOB6rXazYYp2/pc+K9d544431792Wf4/mjiXzO4d/VnPnSFa8BQVw8MEwY0Z8a/y1VVqNLE2fPp3p06dTV1fHp59+2uaRpYMOgpdeaio/+VAlx57eO/iv/MYbsPfeHQpc0seiRfCvf/mfi08+8fspV1WlOioREemIrbf2u0O0ctNO3P/rkVbJUoN4L8ONGAHLljWVZ/3oYY6ecVpTRd++0RO+RfD73r30kt/DbuFCv+j72rV+XaeamvQerRIRyURffunnhrZAl+FiOf30pulIRUWw18Cvgg06stiPZLQBA+CUU/wjHs7BypWweLFPsj77zP8HXFrqR7HKy/0WL9XVPulqWHtKRETar1s36Ncv8efNimTpjDP8XO6qKvjzn6H/X94MNth//9QEJhnLDAYN8o+DDurcz6qr8yNd5eWwapUfJF271s/VW7fObx1TXu7nbVVW+rabNvn/HjZv9slaeNLW8NyQwNXXN619VVfnE8H6+qZRtfDX4F9HlkVEOluPHvDEE/6mlUTL+GRpzRo/AbjhKtsvfgEL3CfBMbjhw1MQmUhi5Ob6CY29e/vr9SIiklgZnywtWhScjvT5wo24oq+DyVJn/6+/iIiIpK2MX8F75Eg/T6nBgUM+J6e8LNgofJddERERkTAZnywNGgR/+hN8//vwgx/AnX9eFWxQVKRrFyIiItKsjL8M9/TTMHmyn2T60UewpuAZtgpvMGJE58wGExERkYyQ8SNLM2cG78Ype29psMH22yc3IBEREUkrGZ8s7bBDsLxLxdxgxX77JS8YERERSTsZnyz98pd+rtLAgTDxpHqKciqDDTS5W0RERFqQVnOWwveGa6uf/KRpX7iaF17BNlQ0HTSD445LcJQiIiKSSTJ+b7j8/Kad2k/gUWbyw6aD3br55Yzz0ipnFBERkfaLe2+4jL8MFz5/+wieDR7cay8lSiIiItKijE+W/vAH2GorvyHqUSM/Dx7UNiciIiLSioweVvnsM/jxj/2moeDYcs1bwQaHH56KsERERCSNZPTI0ltvNSRKkEct3esi7oQbMCD5QYmIiEhayehkaddd/RxugMN5lpzwueM9esD48akJTERERNJG3MmSmR1gZv8xsxVm5sxsQsRxM7OrQsc3mdnLZrZTRJsCM7vJzFabWaWZPWlmCV/waOutYfRonxeN6/dp8GBhIXTvnuiPFBERkQzTnpGlQuAD4IJmjl8OXBI6PgYoBZ43s95hbaYBJwCnAvsBvYBZZpbbjniadcUV8MYb/lLc91fPCR7cffdEfpSIiIhkqLgneDvnngGeATALLlVgvuJXwB+dczNDdWcDK4HTgdvNrBj4KfAj59zsUJszgeXAIe39IrF89VXT6x1YEjw4alQiP0pEREQyVKLnLI0ABgHPNVQ456qAOcC+oarRQLeINiuAhWFtAqqqqigvLw882uLMM/0i3cWsj06WDjusrd9JREREsliik6VBoeeVEfUrw44NAqqdc+taaBMwdepUiouLGx9Dhw5tUzCvvALOQX++I5/a4MHBg9t0DhEREclunXU3XOSWJRajLlKzbaZMmUJZWVnjY/ny5a0GsGYN/P3v/vVhTYNYXp8+UFLS6jlEREREEr0oZWnoeRDwbVj9AJpGm0qBfDPrEzG6NAB4PdZJCwoKKCgoiCuQ7t39vnDV1bAbHwQPDhsGuQmdSy4iIiIZKtEjS0vxydChDRVmlg+MpykRegeoiWgzGNiZZpKl9igshKOP9nOWxjE3eHDPPRP1MSIiIpLh4h5ZMrNeQNj2tIwws92Atc65r8xsGnClmS0BlgBXAhuBBwGcc2VmdhfwFzNbA6wFrgc+BGZ34LsEzJwJjz0G4BjC18GDu+6aqI8RERGRDNeey3B7Ai+Flf8aer4POAe4DugB3AL0Ad4EDnPOVYS952KgFngk1PYF4BznXF074onp89CeuWOYTxEVwYPHHZeojxEREZEMZ861Nu866VoNqLy8nOLiYsrKyigqKorZZtEi2GMPmFg9g/s5q+mAGVRU+Ot0IiIikm2s9SZBGbs33L33+sndP+Dl4IGSEiVKIiIi0mYZmyw9/bR/3o/Xggd22im6sYiIiEgzMjZZalhGaTs+Cx44+ODkByMiIiJpKyOTpepq+Owz2I33yKU+eHDs2NQEJSIiImkprZKl6dOnU1JSwpgxY1pst3AhvP8+jGdOcBZXt27aQFdERETikpF3w33zDQwfDjNrj+FYnmo6MHIkfPJJImMVERGR9KK74QC++spvoDuad4IHxo9PTUAiIiKStjIyWfrnP6FP3Sq2atyqLuSgg1ITkIiIiKStjEyWBg2CscyLPtDKXCcRERGRSBmZLM2bB8eEz1UC6NsXttsuNQGJiIhI2srIZOnll+EHvBisHDkyJbGIiIhIesvIZGnbfuUM58tg5THHpCYYERERSWsZlyzNnw9bfjGffGqCB447LjUBiYiISFrLuGSptBRO4NFAnSsogB12SFFEIiIiks4yLlnavBmO4plAnZWUQEFBiiISERGRdJZxydKjD1UzjK+ClUcckZpgREREJO2lVbLUlr3hdln6JHlhm+c6gFNO6fzgREREJCNl1N5wtbXwTMHxHFv/ZGNdfW43cmqrOydSERERSTfZvTdcTQ2Mq38lUFex454pikZEREQyQUYlSx88vpQtWR+oKzz12NQEIyIiIhkho5KlnHvuDJTrgbyzz0hNMCIiIpIRMipZ2nbujEB5Q14fGDYsRdGIiIhIJsicZGn1avpuXB6oWrLDUSkKRkRERDJFxiRLVTfcGjW9vezUn6ckFhEREckcGZMs2Z13BMqV9GDwieNSFI2IiIhkisxIllaupFtp8BLca3YA22ybm6KAREREJFNkRrJ09dVRl+AeGnElPXumJBoRERHJIGmVLDW73cmM4F1wmyhg85gDkhiZiIiIZKr03+7kvffgwAMDx2dyPGv+/jjnnttZIYqIiEiainu7k7zOiCKpzj8/UHTA5fwfrx6TmnBEREQks6TVZbgo334LixcHqlYygBU9dmDQoBTFJCIiIhklvZOln/0squqP/A+jR4PFPcgmIiIiEi29k6XXXgsUq8njVs7nsMNSFI+IiIhknPROliLczTnUkcepp6Y6EhEREckU6Xk33LvvUjx6NGVAUaiuDujJJroVdmfDhk6NT0RERNJX3BN10nNk6ZBDoqru50yq6R65ioCIiIhIh6RfsnT99bBuXaCqlhx+yj0ATJqUiqBEREQkU6VfsnTTTVFVf+AP1JFHfj4ccUQKYhIREZGMlVbJ0vTp0ylZuZLwzU5WsyXX8nvAX53LS/9lNkVERKQLSb8J3i+8QPlRR1FcXc1n9GE/FlLKVgAsWAC77JKMEEVERCRNZcEE74MP5l//72MASvi4MVHq31+JkoiIiCRe2o0s1dVBt27lOFcMYYsHzJwJJ5yQhOhEREQknWX+yNJxx0FkfldUpERJREREOkfaJUvvvRdd99RTyY9DREREskPaJUtjxgTLhx0G++2XmlhEREQk86VdsnTPPXDMMf71z34Gzz6b2nhEREQks6XdBG+A8vJyiouLKSsro6ioqLXmIiIiIg0yf4K3iIiISDJ1qfWuzczKysqi6quqqqiqqmosV1RUAH6ESURERKStiouLi4AKF8eltS51Gc7MivCLJ4mIiIh0lmLnXJtHXLpasmRA7xiH8oGCsPJA4B3ge8C3Cfjot4C9utB5EnWu3sDXwBCgosMRqZ/aSv3UNuqntlE/tY36qW26Wj8l6jzx9lNcI0td6jJcKPBWMz0za+iIb+PJDFs4X31XOk+izuVzT8D/UHSZ76d+Su55EnUu9VObz9HwUv3U8jkaXqqfWj5Hw8uM7KcEnqfhZUL6KZImeHvTu9h5En2uRFE/tY36qW3UT22jfmob9VPbdLV+6op9FKVLXYZrq7C5TXFdc8w26qe2UT+1jfqpbdRPbaN+ahv1U9t0dj+l68hSFXB16Fmap35qG/VT26if2kb91Dbqp7ZRP7VNp/ZTWo4siYiIiCRLuo4siYiIiCSFkiURERGRFihZEhEREWmBkiURERGRFihZEhEREWmBkqU0Z2ZTzGy+mVWY2Xdm9riZ7RjRxszsKjNbYWabzOxlM9spVTF3BaF+c2Y2LaxO/QSY2dZmdr+ZrTGzjWb2vpmNDjue9f1kZnlmdo2ZLQ31wRdm9nszywlrk3X9ZGYHmNl/Qt/ZmdmEiOOt9omZFZjZTWa22swqzexJMxuS1C/SyVrqJzPrZmZ/NrMPQ99/hZn9w8y2ijhHVvdTjLa3h9r8KqI+If2kZCn9jcevgDoWOBS/hc1zZlYY1uZy4BLgAmAMUAo8b2ax9uHLeGY2Bvg5sCDiUNb3k5n1AeYCNcCRQAlwKbA+rFnW9xNwBTAJ3wffx/fJZcCFYW2ysZ8KgQ/w3zmWtvTJNOAE4FRgP6AXMMvMcjsp5lRoqZ96AnsA/y/0fCIwEngyot00srufGoWSqL2BFTEOTyMR/eSc0yODHkB/wAEHhMqG32z4irA2Bfg/fr9Idbwp6J9ewKfAIcDLwDT1U6B//gS82sJx9ZP/zrOAuyLqHgVmqJ8av68DJsTzswMUA9XAKWFttgLqgMNT/Z2S0U/NtBkTajdM/RRVvzV+A92dgGXAr8KOJayfNLKUeYpDz2tDzyOAQcBzDQ2cc1XAHGDf5IbWJUwHnnLOzY6oVz95xwFvm9m/Qpd13zOzc8OOq5+814CDzWwkgJntiv+/1qdDx9VP0drSJ6OBbhFtVgALyd5+A/973dE0wqt+AkKXvWcA/+ecWxSjScL6Ka8DcUoXY2YG/BV4zTm3MFQ9KPS8MqL5SmCbZMXWFZjZqfhh7TExDqufvG2B8/A/R9cCewE3mlmVc+4fqJ8a/Bn/B+xjM6sDcoH/cc49FDquforWlj4ZBFQ759bFaDOILGRm3fEjvg+6pj3P1E/eFUAtcGMzxxPWT0qWMsvNwCj8/+FGitzXxmLUZSwzGwrcABzmnNvcQtOs7if8PMa3nXNXhsrvhSbgngf8I6xdtvfTKcCZwOnAImA3YJqZrXDO3RfWLtv7KZb29ElW9puZdQMexv93eX5b3kKW9FPoppNfAnu40PW1eN5OnP2ky3AZwsxuwl9C+YFz7uuwQ6Wh58gsegDR/4eXyUbjv/M7ZlZrZrX4yfEXhV439EW299O3wOKIuo+AYaHX+nny/g/4k3PuYefch865GcDfgCmh4+qnaG3pk1IgP3SjQXNtskIoUXoEf/ny0LBRJVA/AeyP/75fhf1O3wb4i5ktC7VJWD8pWUpzoVtxb8bfMXGQc25pRJOl+B+YQ8Pek49PFF5PWqCp9wKwC34EoOHxNvBA6PUXqJ/A3wm3Y0TdSODL0Gv9PHk9gfqIujqafqeqn6K1pU/ewd+JGd5mMLAzWdRvYYnSDsAhzrk1EU3UT36u0iiCv9NX4P9H5vBQm4T1ky7Dpb/p+EsBxwMVZtbwf21lzrlNzrmGtYSuNLMlwBLgSmAj8GAqAk4F51wFflJfIzOrBNY0zO9SPwF+dOR1M7sS/8t6L/wyCz8H0M9To/8A/2NmX+Evw+2OvyX+bsjefjKzXsD2YVUjzGw3YK1z7qvW+sQ5V2Zmd+FHB9bgb1S5HvgQiLwpI2211E/4P/j/xs+vPAbIDfu9vtY5V61+8j9PwJqI9jVAqXPuE0jwz1OqbwfUIyG3U8Z6nBPWxoCr8JdYNuPvPtk51bGn+kHY0gHqp0C/HBP6ZbIZfwnu3IjjWd9PQG/8+i1fApuAz4FrgPxs7ifgwGZ+H93b1j4BugM34f8QbsQnpkNT/d2S1U/A8BZ+rx+ofmr6eYrRfhlhSwcksp8sdDIRERERiUFzlkRERERaoGRJREREpAVKlkRERERaoGRJREREpAVKlkRERERaoGRJREREpAVKlkRERERaoGRJREREpAVKlkRERERaoGRJREREpAVKlkRERERa8P8BA2DbtyDBtygAAAAASUVORK5CYII=\n", "text/plain": [ "Graphics object consisting of 2 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "p1 = list_plot([ [i,j] for i,j,k in res], legend_label='$N_1$')\n", "p2 = list_plot([ [i,k] for i,j,k in res], color='red', legend_label='$N_2$')\n", "show(p1+p2)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "ExecuteTime": { "end_time": "2021-09-08T13:20:10.416533Z", "start_time": "2021-09-08T13:20:10.408399Z" } }, "outputs": [ { "data": { "text/html": [ "" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}137.931034482759$$" ], "text/plain": [ "137.931034482759" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "eqs[3][0].rhs()(K_1=500,alpha=0.6, K_2=700, beta=0.7)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "ExecuteTime": { "end_time": "2021-09-08T13:20:15.483791Z", "start_time": "2021-09-08T13:20:15.473529Z" } }, "outputs": [ { "data": { "text/html": [ "" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}603.448275862069$$" ], "text/plain": [ "603.448275862069" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "eqs[3][1].rhs()(K_1=500,alpha=0.6, K_2=700, beta=0.7)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Agora vamos plotar as nuliclinas do sistema no espaço de estados juntamente com o ponto de equilíbrio e a trajetória da dinâmica simulada acima." ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "ExecuteTime": { "end_time": "2021-09-08T13:22:04.588070Z", "start_time": "2021-09-08T13:22:03.722864Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "Graphics object consisting of 5 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "vf = plot_vector_field([de1(r_1=0.9,K_1=500,alpha=0.6),de2(r_2=0.5,K_2=700,beta=0.7)],(N_1,0,350),(N_2,0,650),axes_labels=[r'$N_1$',r'$N_2$'])\n", "null1 = plot(solve(de1,N_2)[0].rhs()(K_1=500,alpha=0.6),(100,350),color='blue', legend_label='Nuliclina de $N_1$')\n", "null2 = plot(solve(de2,N_2)[0].rhs()(K_2=700,beta=0.7),(100,350),color='red', legend_label='Nuliclina de $N_2$')\n", "traj = list_plot([(j,k) for i,j,k in res],color=\"orange\", plotjoined=True);\n", "# Agora vamos plotar o ponto de equilíbrio:\n", "pe = point((eqs[3][0].rhs()(K_1=500,alpha=0.6,K_2=700,beta=0.7),eqs[3][1].rhs()(K_1=500,alpha=0.6,K_2=700,beta=0.7)), color='green',pointsize=50)\n", "show(vf+null1+null2+pe+traj)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "## Lotka-Volterra Predador-presa\n", "\n", "O modelo de lotka- volterra pode ser facilmente adaptado para outros tipos de interação entre populações, como a relação de predação. Abaixo vamos começar a explorar um modelo muito simples de predação sem limitações ao crescimento das populações por densidade.\n" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "ExecuteTime": { "end_time": "2021-09-08T13:25:14.009279Z", "start_time": "2021-09-08T13:25:13.996856Z" } }, "outputs": [], "source": [ "def plot_sol(sol):\n", " a=list_plot([(i[0],i[1][0]) for i in sol],color='red', plotjoined=True, legend_label='x', alpha=.8)\n", " c=list_plot([(i[0],i[1][1]) for i in sol],color='blue', plotjoined=True, legend_label='y', alpha=.8, axes_labels=[\"t\",\"y\"], gridlines=True)\n", " a.legend()\n", " c.legend()\n", " show(c+a)" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "ExecuteTime": { "end_time": "2021-09-08T13:25:20.026981Z", "start_time": "2021-09-08T13:25:20.018954Z" } }, "outputs": [ { "data": { "text/html": [ "" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\verb|dx/dt=| -b x y + a x$$" ], "text/plain": [ "'dx/dt=' -b*x*y + a*x" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\verb|dy/dt=| d x y - c y$$" ], "text/plain": [ "'dy/dt=' d*x*y - c*y" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "var('a b c d x y t')\n", "dx = a*x -b*x*y\n", "dy = -c*y + d*x*y\n", "show('dx/dt=',dx)\n", "show('dy/dt=',dy)" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "ExecuteTime": { "end_time": "2021-09-08T13:27:01.430139Z", "start_time": "2021-09-08T13:27:01.416786Z" } }, "outputs": [ { "data": { "text/html": [ "" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left[\\left[x = 0, y = 0\\right], \\left[x = \\frac{c}{d}, y = \\frac{a}{b}\\right]\\right]$$" ], "text/plain": [ "[[x == 0, y == 0], [x == c/d, y == a/b]]" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "eqs = solve([dx,dy],(x,y))\n", "eqs" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "ExecuteTime": { "end_time": "2021-09-08T13:28:00.484062Z", "start_time": "2021-09-08T13:28:00.476703Z" } }, "outputs": [], "source": [ "def fun(t,y):\n", " x,y = y\n", " a=1.9;b=0.1; c=0.2;d=0.1\n", " return [a*x -b*x*y,\n", " -c*y + d*x*y]" ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "ExecuteTime": { "end_time": "2021-09-08T13:37:53.777056Z", "start_time": "2021-09-08T13:37:53.643873Z" } }, "outputs": [], "source": [ "T = ode_solver()\n", "T.algorithm='rk8pd'\n", "T.function = fun\n", "y0=[2,15]\n", "T.ode_solve(t_span=[0,50],y_0=y0, num_points=100)" ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "ExecuteTime": { "end_time": "2021-09-08T13:37:56.495906Z", "start_time": "2021-09-08T13:37:56.013695Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "Graphics object consisting of 2 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_sol(T.solution)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": 37, "metadata": { "ExecuteTime": { "end_time": "2021-09-08T13:38:05.402738Z", "start_time": "2021-09-08T13:38:04.729654Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "Graphics object consisting of 5 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "vf = plot_vector_field([dx(a=1.9,b=0.1, c=0.2,d=0.1),dy(a=1.9,b=0.1, c=0.2,d=0.1)],(x,0,50),(y,0,90),axes_labels=[r'$x$',r'$y$'])\n", "null1 = plot(solve(dx,y)[0].rhs()(a=1.9,b=0.1, c=0.2,d=0.1),(1,10),color='blue', legend_label='Nuliclina de $x$')\n", "null2 = plot(solve(dy,y)[0].rhs()(a=1.9,b=0.1, c=0.2,d=0.1),(1,10),color='red', legend_label='Nuliclina de $y$')\n", "traj = list_plot([(i[1][0],i[1][1]) for i in T.solution],color=\"orange\", plotjoined=True);\n", "# Agora vamos plotar o ponto de equilíbrio:\n", "pe = point((eqs[1][0].rhs()(a=1.9,b=0.1, c=0.2,d=0.1),eqs[1][1].rhs()(a=1.9,b=0.1, c=0.2,d=0.1)), color='green',pointsize=50)\n", "show(vf+null1+null2+pe+traj)" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "ExecuteTime": { "end_time": "2021-09-08T13:30:45.187012Z", "start_time": "2021-09-08T13:30:45.145291Z" } }, "outputs": [ { "data": { "text/html": [ "" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left(\\begin{array}{rr}\n", "-b y + a & -b x \\\\\n", "d y & d x - c\n", "\\end{array}\\right)$$" ], "text/plain": [ "[-b*y + a -b*x]\n", "[ d*y d*x - c]" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "source": [ "var('x y a b c d')\n", "jac = jacobian([a*x -b*x*y,-c*y + d*x*y], [x,y])\n", "jac" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "ExecuteTime": { "end_time": "2021-09-08T13:31:43.288649Z", "start_time": "2021-09-08T13:31:43.278515Z" } }, "outputs": [ { "data": { "text/html": [ "" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left(\\begin{array}{rr}\n", "0 & -\\frac{b c}{d} \\\\\n", "\\frac{a d}{b} & 0\n", "\\end{array}\\right)$$" ], "text/plain": [ "[ 0 -b*c/d]\n", "[ a*d/b 0]" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "jac_eq = jac.subs(x=c/d,y=a/b)\n", "jac_eq" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "ExecuteTime": { "end_time": "2021-09-08T13:32:19.352794Z", "start_time": "2021-09-08T13:32:19.340143Z" } }, "outputs": [ { "data": { "text/html": [ "" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left[-\\sqrt{-a c}, \\sqrt{-a c}\\right]$$" ], "text/plain": [ "[-sqrt(-a*c), sqrt(-a*c)]" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ "evs = jac_eq.eigenvalues()\n", "evs" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "ExecuteTime": { "end_time": "2021-09-08T13:33:13.614592Z", "start_time": "2021-09-08T13:33:13.604625Z" } }, "outputs": [ { "data": { "text/html": [ "" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}-3.77461493867754 \\times 10^{-17} - 0.616441400296898i$$" ], "text/plain": [ "-3.77461493867754e-17 - 0.616441400296898*I" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" } ], "source": 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