{ "cells": [ { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Análise qualitativa e Tutorial de diagrama de bifurcação em R\n", "\n", "*Este tutorial pressupõe que você leu o [tutorial sobre integração numérica](https://colab.research.google.com/github/renatocoutinho/ode_examples/blob/master/Numerical%20Integration%20Tutorial.ipynb).*\n", "\n", "\n", "## Explorando o espaço de parâmetros: diagramas de bifurcação\n", "\n", "Diagramas de bifurcação representam as soluções (de longo prazo) de um modelo em função de algum parâmetro, cujo efeito queremos investigar. A ideia é que, à medida que esse parâmetro muda, as soluções mudam de forma \"bem comportada\", e isso nos ajuda a entender melhor o comportamento geral do modelo.\n", "\n", "Neste tutorial, vamos estudar um modelo simples de predador-presa (o Rosenzweig-MacArthur), e ver como a quantidade de recursos por presa ($K$) muda a dinâmica.\n", "\n", "### O modelo de recursos do consumidor Rosenzweig-MacArthur\n", "\n", "Este modelo é expresso como:\n", "$$ \\begin{aligned}\n", "\\frac{dR}{dt} &= rR \\left( 1 - \\frac{R}{K} \\right) - \\frac{a R C}{1+ahR} \\\\\n", "\\frac{dC}{dt} &= \\frac{e a R C}{1+ahR} - d C\n", "\\end{aligned} $$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Soluções do modelo Rosenzweig–MacArthur\n", "\n", "Usamos o mesmo método já explicado para integrar este modelo numericamente:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "data": { "image/png": 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rW6IyVJiXEm97HLzJQvJAlZWaXZMyIiIvI0HjMUC8Df3//uu++2uhclTIlxyuIJ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\nOlrfQQIAAOjIZ4KdiLRp02b27Nm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}, "metadata": { "image/png": { "height": 420, "width": 420 } }, "output_type": "display_data" } ], "source": [ "##Carregando bibliotecas\n", "library(deSolve)\n", "\n", "### Modelo Rosenzweig-MacArthur###\n", "\n", "## Sistema de EDOs a ser integrado\n", "RM <- function(t, y, parms){\n", " with(as.list(c(y, parms)),\n", " {\n", " dR = r*R*(1-R/K) - a*R*C/(1+a*h*R)\n", " dC = e*a*R*C/(1 + a*h*R) - d*C\n", " return(list(c(R=dR,C=dC)))\n", " })\n", "}\n", "\n", "##parâmetros\n", "parms1 = c(r=1, K=10, a=1, h=0.1, e=0.1, d=0.1)\n", "\n", "## condições iniciais\n", "y0 = c(R=1,C=1)\n", "\n", "## rodando a integração numérica do tempo 1 a 1000\n", "out = ode(y=y0, times = seq(from=1, to=1000, by=0.5), func = RM, parms = parms1)\n", "\n", "##plotando a solução\n", " matplot(x=out[,1], y=out[,2:3], type = \"l\", lwd=2, lty=1,\n", " col=c(\"blue\", \"darkgreen\"), xlab=\"Time\", ylab=\"Population size\")\n", " legend(\"topright\", legend = c(\"Resource\",\"Consumer\"), \n", " lty = 1, lwd=2, col=c(\"blue\", \"darkgreen\"))\n", "\n", "#### exigido pelo jupyter\n", "options(jupyter.plot_mimetypes = 'image/png')\n", "####" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Para os parâmetros escolhidos acima, a solução de longo prazo (assintótica) é um ponto fixo. Vamos ver isso no espaço de fase, ou seja, o espaço de Predadores ($P$) vs. Presas ($V$). Notamos que as setas estão \"circulando\", mas sempre apontam para dentro, e assim a trajetória se move em direção ao meio, ao ponto fixo." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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SMiIiIxpGL38uXL2NhY6ciMGTMGDhwI4PTp0yNHjhSYTUOx2BEREZEYjRo1km7c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xbeLi4nhXLTl2ErrRdMN/+FAE7cZpdFKu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\nyMj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}, "metadata": { "image/png": { "height": 420, "width": 420 } }, "output_type": "display_data" } ], "source": [ "\n", "## Espaço de fases e pontos fixos\n", "##primeiro precisamos calcular as coordenadas para os vetores\n", "xs = seq(from=0.9, to=1.3, length.out=7)\n", "ys = seq(from=0.94, to=1.04, length.out=7)\n", "coords = expand.grid(R=xs, C=ys)\n", "## E, em seguida, faça um loop sobre todas as coordenadas para calcular as derivadas nesses pontos\n", "dvs = matrix(NA, ncol=2, nrow=nrow(coords))\n", "for(i in 1:nrow(coords))\n", " dvs[i,] = unlist(RM(t=1, y = coords[i,], parms = parms1))\n", "\n", "## agora plotamos a trajetória\n", " plot(x=out[,2], y=out[,3], type=\"l\", lwd=2, col=\"blue\",\n", " xlab=\"Resource\",ylab=\"Consumer\", xlim=c(0.9,1.3), ylim=c(0.94,1.04))\n", " ## e adicionamos o campo vetorial\n", " arrows(x0=coords[,1], y0=coords[,2], x1=coords[,1]+dvs[,1]*0.5,\n", " y1=coords[,2]+dvs[,2]*0.5, length=0.1, lwd=2)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Brincando um pouco com os parâmetros...\n", "\n", "Aumentando a capacidade de carga $K$ de $10$ para $15$, agora vemos oscilações..." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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8a72YY8eosfPeQeU2Y3i/\ntHoQzJPLYjLatRo7BEpJoDAUVaWHsPM46qijjjrqqE6dOsX8vFOnTps3b87JyUnFpAAAGugm\nSXk1UoaOXcBqpKxWpLlsDaaRkeZ4IEXSYo/g2KUH9evXT/UUAABK6Dp2MqVvYoHi/YmsLL1R\nwaixM7TfnHWDhAO5VjWYkkOne/6EQdiFYBcBAM6g69gFrE8zJUaIawdBLJC5G6RI4B27IP1F\nQNgBAEBFTJhAN9xAW7eqbu8LOxnHjtFvoR4oem68GjvGKJeNNNeswQDbTuxAwTt0qLGLJwip\nWABASigtpRtvpKIiatqUhgxRHeKh3hVb5uvkDiGpdKeYEZKSngZeRaPLR5vXQ2ovuZyS84cX\nyKqwg2NXMSHYRQCAHfbuJW9t799+Ux2iu9pwsMv5FWEECvYDuKwGUj9c5QVijBLTW45/RoqY\nqPwwOHYQdgAAJvv2xb5IiK5j53Jyh5HzFZtbBUGTGygl+cTQJi5jNgvAHok5dqFKxULYAQCY\n7N178EVhoeoQ4VQsb5RrUiMl+WiX3SCxM8E1f0ssQ5qqPRJQkEjFAgBAufjCTt2xYzx5wod3\nl5URTy4rAKup2DRqNQjAHpknl8UOnWt/EUjFAgBAYnxh51XaqeDX2IkJOxnnybW5mdfYBUDd\nOl4ohho7yUBw7AAAIDHCNXYBWFLE8Ro7xqg0coNcy7Cjxi4egc8Ijh0AAJTLnj0HX6g7drqp\nWMOuWN4o3l3W0hBi+RNp1BULa1B9CE+jp2SPFJH/jODYAQBAuTCaJwRq7OT77NSjuDw3Yqnb\nNCp9sxdIrPTN8Ro7MQVpcujg2AEAQLns33/whVPLnYilq8REJ2MIr3mCEchQC/ICiWVIXUvF\nIhA7kA+EHQAAlIvfCcFY7sQ13SBTYyeWJuYJO5n22zTquHTNGkxVMZ9YclnAGoSwAwCActHN\nq1KUFnStRdG8mI8xxN5BSKMau+AFUiSNAgXpM0KNHQAAlAtD2Ok6di67Gi7PzTAKb5TjgdB+\nyxsSjEA+cOwAAKBcdBeli97SnvOUErPBNceFcdwcr5cXS/OlJOfreCBFUuJh6waCYwcAAOWi\n2wnBGBJ9oWc00sb/VyWQa/6E4RC0GmiNSpeyzvj/qoyy2knjsmPnD4FjBwAA5WLi2AWgF1Js\nboaOSzDq5cWMtJS0g/A+I5lzW31UWnTSQNgBAEC5MGrsdFOxLguUlGiagAli9UDpcrTVA7nc\nQ5qSbyC8Ubp7hFQsAACUi+/YqecHTYSda3VsDE2jroCjMczYit1iedk3RVwWDWL+VqoCKSLm\n2KErtmJCsIsAADvoOnaGXohYZZXLRohY6VsA1Emq/C3XFKR5INccO5OTAalYAAAoF5PngwXg\nyRMuN08wAokJ4jRqNXA8UDhPVDLbIwg7AAAoF93mCZllO8RSsS6nicUWnnDZSHM8Qxqw8ycp\ngZCKTQoh2EUAgB38ayVD2LlmNhgKFNcaFFLi2AXD30ojD5IhvwJwolIyDl2wgbADADDRbZ5I\niSsmE8jluSkiVi9vfhAU4d3LXa4adLwdJCWBFIFjBwAAiTFpnrBXY5cSD8DluZHa0Ya/laxA\nrnmQDAUZg2uBTHxi1NgBAEC56Ao7RsFcsB8p5pT9Zq5OQlu/laqqQUVcPnSosbNBCHYRAGAH\nk+YJe1/NGbcKxxWATIOC+UEQ87cc11ti5489I83x5LLJyQBhBwAA5WKy3IlTuiGN/Al76jZV\njp1TEj9mM9ekahp9A3Ht0CEVCwAAidF98Cvjum8unhgNoWIeklPNhmkkGlxz7FL1sdrTW6n6\nqiPgQULYAQBAuUQ/H0zFtIu+ajvVPJFG5fzBU7euyWjGEMf3yOVAFcdV2QzNE/FA2AEAmESL\nM11PCKlY9VEyGS7evVysxi4lgVyzBuUr0mwHEnPsIOwAACAxfvMEqTlwhvdmezc/87uLa9ZO\n8GrsxCrSXN6jVClI1/4iTMQ3micAAKBcBBw73RDxmzGEnSLmqT3GQVDE3LZUxNzfshcoVUas\nImm0R/aOg/yhg7ADAIByEXDsUtI84XKfppht6dTcKBkKUizn65pjF7wuDZNASMUCAELEpk10\n2mn017/+QbFVQPQlVWVISjohnMpCmisAlztIxAIFT2+J7ZFrhy4GgUAQdgCAEPHpp/Tdd/Th\nh7RqldL20S6dgGOnOIpxT+JVFMmU85uLhuAFCoa/FbyVYtKiDhLCDgAQItavP/iisFBpe93l\nS2SSXAHrG3Bcb4nlfFMig1zzt9IoXS7WTqQbCDV2AIAQ4Qu74mKl7XUf5GrYPMGIYm8IsXYn\nJXOzGoiRcRPzt4LXPJFGh04R+UAQdgCAELF168EXisJOt8ZO1+EjqRIuMceu4rgq27hc+kZq\nHysvEGNIGpVOBiMQY0iqqgaDDYQdAOAgvp5jCDvdVKxTzpPYql2MQEkx0sQcO6f8UZS+CQdK\ni0MHxw4AECJ8101A2Ik1TzhVY+dy6ZvjgWQqGpMSyOUMaQDW5TEMhOYJAECI2L8/9kXF6N6Z\nZOw3mbI8Yt2YGXMzl0GKo8wLxewNoWTIILFALgs7RVJVzKeIbnVvdCA4dgCAEGHi2DG8NEv1\nWGlUYyeWirVXYxeDTDGfa82qMaRE7FZASg6d1UAmQ+DYAQBChG/UMbpiVS6vzra4ivkTMg8H\noxSZNIqj0H6bdoEUSQv7Fo4dACBE2HbszFsHLNlv5lLDnj8h5tiJNU8kRUHK7JHjesupYlCS\n+osgs0MHxw4AECKEU7FpPYSScb8UW4VEJh9tNVAMLmfYnUrl8wKl6i/C3JdNCIQdACBE6KZi\nBRw7GedJTAGI+Vvmgey1T6ZRIHtuIrHOnzRy7FyzBuHYAQDCiIlj507BnEzCl/R1LQmmiVNV\n+haAnG+wZZBrClIsi+1vhho7AECIcNCxS0nzhCIyNVJJqUiTOQiKiAUyL8y35yaS1PnDC8Q7\n60xWIWGP0h0CYQcACBG+Y8dYx86d6jexLKRuFF6gpFSk2TsIaVQ1KPaxulxjZ89ajkFsuRPe\nZxRsIOwAAAfxhZ2lXKRMi6tYclDGCElKKtapDKnjqVgxfyvYXbFih05XQcKxAwCECN+oU1xu\nTTfzYr6OnQouP3nC3JCw5084Xsxnnop1TW8FL5B5KlYRk5MBwg4AECIcdOxSYvIxxJPjzRNi\ny53IHG3FUUmxBhlDnDp/SFDYpcQaRFdsPBB2AICD+MJO0bFLixo7maovsRo7ewogKXrLqRq7\nGFwr5hOTQYZDyLGqU2IdOh8IOwBAiNBNxbpZYyfWecq4u6RkbvFxkzUkflTwHDunzh/eZ5SS\nnK9VD9LkTw/CDgAQImw7djIV/eYKwFImOn4yTqmTpAQSy/k6lVwOXuIyVVLV9h5lZEDYAQDC\nhHCNHUOlubNCCkndxszLqlwLJNal4XjVoMvNEy572CaBwqDqCMIOAOBj4thZMsZkdIPLtzHH\n1YnLgVKlIF2rsRML5PJKMb5jFwYg7AAARESRyO+XS8U7U7T+Y6g0FWQWuXDZCMEqJGkXiDHK\n3tySEsg1D5L9nSoMa50QhB0AwCP6CutOjZ1MXtXl25jj/pbLgdKomM81x87lqkGTucGxAwCE\niGgxh+VOdHF5KQ1eIHsyqOJ3SGKgVB06XirWqZxvxXFVNnPzaMOxAwCECHnHzp2COZcritLL\n32LsUQDWVUmjQAFw7EwOAhw7AECI0C2YI31lYy7sVHC5xi6NCsVcrkjjDQneoXOqZiApgRhD\ntAJB2AEAQoRAKtZccslU8gXGn0AgmUCOu6q6f6dJCeTaQUAqFgAQOgRSsWKlbBUEVdmGcfML\nQOlbGlWk8QKJVQ26tkeGQ6wGEv5Y4dgBAEKEm80TKTH54NgFMpA9syqNHDtehlRMRqPGLilA\n2AEAiFj5GoFUrMx13+VULK/VQGxdFZcDOa63UqIgXTtRxQ4CauwAAKGD4dhFb2bpihwzE0tR\neLcK3d3nBeLlzoLdAaA4Cl0a8aPszc3xLwaosQMAhA43U7EVRExilFSVVdnLJ8YgU7/FC8Tb\nI7FUrFNVgxW/g+Jmlg4dUrHuAGEHACByNRXrbPaW3F7HzuUMqb+Nd5fl3Zi1Ank+jUCgrCzt\nQL6HpHUyeKO0FKRWIJO52T4ISflYgw2EHQCAKBWOnSW1IZzc0RqSkrnpBvJufrZFA2nemL35\n+IG0zjeGAvDUieIok0C29yhGdGoFcvNj5SlI1NgBAEKHwHInMv2qjCySed03T2/ZznCZuEH2\nZJCJtWMSSMuH5kkNE01jyRqM0VtaozIyNFxVE9tSXkYHm3DsJQAgEYaOnUyS1J3eW9LffV4g\nXuJSRjQYBjK5MTuVIRXTNAwFGTNEa1RGBj+QgOPLONpw7AAA6c1XX9E559DbbyttbPhIsbSu\nsRNbRcLkCIjdLx3MJ5K4gpT3kCwFik/Fqo/KzOQ7drqB1IeY+KMQdgCA9OYf/6CpU+nyy2n7\n9sQbu5mKlVFp5nVsPNvAKTdITAaJpWLF9JZJ1ZeY3hJLxTIOndjHCmEHAEhv9uwhIioupq1b\nE2/sZvOEjBZkJHzjN7PkTyTF37JXk54qa9C23nJzj0z0FkN8awXi5XxTlWEPNuHYSwBCSXHx\nwRf79yfeOKjLnViaWPxmlvwJx/WWeTEfr6fBKQ9SWKqK6S0BBSmWioVjBwAIAlrCTtexi0S0\nc5HmKk0F8+WFeVU7Djp2/i1WfQiZ5RO1AmnZJ8J7xJib1ijeQWDYTiaOnYneUkQsFYsaOwBA\nEPCFnf+iAhjCLhpLC/Sbp2JtLykitjyYiWNnr6cheggvkJYQ1woUM0qr74TxsZKOBxmvt9RH\n+c2qjKPNC8SrsdMKJLOuCoQdACC9sZqKTYnkkqmxs1265GZPg0mG1CSQvT0yydmJNasy6iAF\nehpi9BZPqlrK+SblYw024dhLAEIJOxVrSdgp9mTovm3FQyzliJOSSrN3GzPJJ2q5GuaJS3up\nNJPkIGOIYUWaCv75w5BBjCw2L+drcrSRik0KEHYABBatVKxhi6uzQ7RuFQx/gpF4EjDSGKlY\nH61AHiYZUnuJbx/GHvEypCY9DU5lSD3kc74MaxCp2Hgg7AAILGzHzrbL5ewQdbOB57iY16Tb\nSzzJtxrYXoWE59h5fwiMQIbL+arA6NcxsS15/ijPg2QEMllXJdiEYy8BCCVFRQdfOJKKNe+K\nlSmY490vGXcXexVpJuuqmLTf2paqAuWJHrYLxUxK3wwVpFaXj8wCxZIr84UBCDsAAgu7K9ad\n5gkZx86k+N3l5okgPVlVRkEmpdUgSDIoMI+4QCoWABAEfKMuzDV2tperYJQu8RYHMekhtbfc\niUnpm9hyJ+ofq0npW2amxqGLT1wySt/s1diZl74JBOLtURhIe2G3YMGC8ePH79u3L9UTAcA5\nJFOxDhbMqcOo+hLuuCRWhtTNJ0+k6tCpIFb6Fq9OLAUybN82aQexHch2n2/6kvZ7+e677+bl\n5e3atSvVEwHAOXw95+Y6doyCOduOnUkqltEVy5gbr7WTsUc8I81eoJicr6VDlxR/S6D0Tdix\nC0Agj5A4dtmpnoAS06dPL8+TW7ZsGRFNnTr1sMMOI6Ljjz++WbNmopMDwElKSn6/3gmkYhle\nmtV+i8zMg2MtVX3xSpeEK9IEHLsYqepgIIEOAPlCMZlHuDpeNcgLFAbSQ9hdf/31P//8cwUb\nXHnlld6LgoKCYcOGScwJALeJTq060hVr7tipD8nK0hB2jHQnryvW5eYJsZwvb7kTtibmLS9n\nW0HyivliZBDPg7Stt4SfPKEbKAykh7B7/vnnr7766o0bN3bp0qVbt27Rv5o2bdq0adPuueee\nmjVrElFubm6K5giAW0QLtQMHEm8ffZOwVP0W8+QJqzV2tjWNyf1SQAaZ9JDaDpSUYj71IYZu\nkFagmDdRCSS/6hsjkL0aOxNrGTV25ZEewq5bt26LFy/Oy8v797//feKJJz7yyCOHHHKI96vC\nwsJp06bdeuut9evXZ7zzqlWrmjdvvl/B0IgoXn4AcINoMafyLC/DGjtL9htb2Nl+eqmJP+Gm\nY+e4NYhULGG5k2QECgPpIeyIqG7dulOmTHnxxRfz8/OnTp366quvtmrVyvxtGzVqNH369MLC\nwgq2ef/990ePHp0RkjMCBIVoMWdD2MVcTF0bYrKkiMC6GDFxVeZmorcYLRdOBYq/l2sV5sss\n5+v4KiQut4NguZPkkjbCziMvL69jx45XXHFFu3bthg0bNnToUMM3zMjISJi9XblypWEUAOSx\nLezMFyKxWpZn2xUzcezk17FzykgzqWi0bTuZ1G8Zrtnhpr+lXsxnWPomdujCQPolnJs1azZ7\n9uy77rrr/vvv79ChA1QXAGVi0gzhTvMEO4rtOjaT+6XYk74cf/JEYB4IIRxILLkcyEBhIC33\nMjs7+8EHH5wxY8aGDRv++c9/pno6ALiI+46d1kVcN4ptx86kK9bN0reYQIpJVZk9MtRbto1Y\nk2ZVsR7StLAG7QXCcifpQYcOHb777rtXXnnlwIEDXkssAMDHdvNEzMXU0hCTdex0hxBLaog1\nTwQvFSu2aqDtVUhM9Jbjq76JdWnI/OlB2KUBhx566MCBA1M9CwBcRDcVG729yoVSRSzGILPa\nsMxKH/H3SxXYa3aQpt5iBBLbo5hbrD3bSWwVEpOjLS9V1afHO1EZn5H8uirBJhx7CUD40F3H\nLvqSKuPYMSwu212xMj2AJo8U46ViLbUG+/BagxlHm6HSJB9XJdbaaeLY2W5W1fqM/CFin1EY\ngLADIJhEizldx86dGju2xWViNogZIfYypDG2pfoQkjrahkaag26QlmgwDGSSIRULZMlVFfuM\n0hcIOwCCiW7zhIBjx25xFV4Zy7YRoiU1fGSMNH+UYiDzD8heRZpHIBdjE1swT9gaFPiMwgCE\nHQDBRFfYGdbYaV2R1YewC+Zs17Elxd9yqqJILBBD3Yq5QcKFhmT2SDGB88ek/VYrkIdTn1H6\nEo69BCB86KZi3VzuhL12iYkHYNs2MLlfatXY8Yr5bC/mJ9bamZRWA61TLjDNqmJ7JG8NhgEI\nOwCCSfTFTrd5Qjd1yxsSjFSsyYJ5jLyqVobU9jp2PHXrIf8ALqRi3Q/EO+u0FGQYgLADIJiY\nNE8w7DcVZBalM0932rN2ZBo7yMDp1AokliE1SfNJpmJtJy7lU7GMQCZ7pD43sl+hkb6EYy8B\nCB+BbJ6wlIr1UW9QkPcnTJY7YWgageyby/4Wz4OUySeS5sngIeaq+kpabF0VLHcSA4QdAMFE\n98kTJgsak+alX30I2zmw7WrEKwAVZBo7iOXYJWXNF0veCc9IS4q/Zan0DeKDwQAAIABJREFU\nLS2ab8TWduatFGM7UPoCYQdAMDFZl07GsVO/LfEKnth5Ma19ESsVZzRPiDl2Yg88dbnVQCsV\nK3boTFxVsb4Tf7Vqnn3LKOoINuHYSwDCh8mTJyKRxNdKhrBjDzFJxTIaFNwsFWdk34KXirW9\nYJ58zlf4/OGNYvwR6QYSy2KHAQg7AIKJbo2dbgEc235j5Hd4iwBbXVLE0HFhKwCtVKzja9Km\nxVIagQkk9lBal81OOHYAgDTGpCuWFK6VjBo7duEXr46NnUVys0bKpCtWfYh8oZgKvBo7sdZO\nkz5fl9ed1qpIM/mMxM461NgBANKYaDFnY5E587yq1SG8rliTdKftnJ36nc9wbg4+YD5eb9lu\n7UQqVjiQ2OkdBiDsAAgmJl2xZDMVa+LYWUr4mjSE2l6HLCbxxEvFas3N9gPmGUkxXvZNfh07\nRiCxVd/cXJlPPlAYCMdeAhAUiopUvQqTdezIMcfOpDZfrG/AUicEr8aOXZvopmMXY1tqTc/x\nBfPEDp2bK/PJBwoDEHYApA3ff0+HH04tW9L+/Yk31k3FijVPmJQ8M8qxGTc/sZp0e12xMRpa\ny99y+cmqYh0AwWueEFspxvFAYQDCDoC0YfZs2rWLFi2iGTMSb6y7Lp2hsLNkvzHWsTMXKPYU\ngMncZNaxE9BbQVWQJh+r1ijJPRJe+0YgUBiAsAMgbSgsPPhiyZLEG9te7iTmYqp+W8rOVg3h\nv63YIq4mjxSTcVwUhZ2JOZoWtpMliW+yR+ly6GybnY6vqxIGshNvAgBwg337Dr4oKkq8saGw\nS3itZC93wrC4TOq+1Yf490v1IWT/SeQmy524vPCEm10a6bXciYA1qD4kXkGqkKpAwQbCDoC0\nwddzxcWJN7ZdYxdzCbZqv5ksd8LoG3B5FQlFYWc+N57ecqpe3vxo8wIJ7BHj0Jn0nbi5R1ju\npDzC4UsCEAj8VKyusBOosWNkQ2wP0b1VuFmMxRB2jqf50qLGLjDFfOkSyOTrhFagMABhB0Da\n4Dt2uqlYG8KO4dixOyFkCszFaqQyM+2qNLFqJ8dlEGrsDAOJNRRLBgoD4dhLAAKB79ipLHdi\nKOwSXisZNXbsmifbK6SYN6sqYr54sgqGMshkbuqjDO/lKpiIBtTYkatrO5scOjh2AAC38IWd\nimMXfYlkCLuEZXlsx06rK9ZDprJKvurLUiBDN8jBnK+P4/VbttcNNvmMfE3jzokaP0rrZOAd\nujCA5gkA0gatGjvbjl3MBla9NJklT21nSClJUkM9FRuYfKL8qm+OHzrdISSYl3d8EekwAGEH\nQNrA7op1pHmCnVeVWS3WcQWgfhDkRWfwivkcD6Q7hDQTlybi280nT8R8qww24dhLAAKBpGMn\nsNyJpeYJtm5w00Ni3C95dz40q1IqrEF5f8vBtZ0lO2nCAIQdAGmD3zNho3lCtxnC31594VyT\n1YYVZxU9RPfmx7ghkdTuaAVKStugvXt5WqyErKUAGG6Qv0dagdKip8FkyW7b1iAcOwCAWxw4\ncPCFSvOEYSpW3RZSF3YMx46RimWbDYbWjlg5v+5HoxgoLfLRjjt26jWa8ouDCC+46GygMABh\nB0Da4As7F2rsYtSDJZXGsJE8GA19vK5G252nPuoKMn5uthshxdSt7UA+WofOww+kPoSknqpC\nqWjftvQXwTsZPCDsAABuYVXY6dbMxTgB6tqRcd1nlOVp3WVT5SFpCW7bjp2Jv8VLxcqIBgF/\nKynrIDpVkZYWgXhnXRiAsAMgbfDL2nyFp7IxpXMqlq0FxbpiHVxFQj5DKqYg3RQN8uokLfbI\nze9UYQDCDoC0we+ZSLh6MAk+eUK3eYKxpj9jiNgjCmzbBoxAJq0GWoX5Jh0AIe/SSEog9SHs\nQB6294h31pnsUbBR2suioqKXXnrp2muvPe+88yZMmFBcXPz2228XqdRvAwCSh2/UqTh2ztbY\nMSqEXH7yhEyNlD83lVFJmZul+j+fINVvmRTz8Q6dbpkBCT5Lw/HKzjCQeIHiVatWnXPOOStX\nrvT+26pVq/3791988cXNmjX78MMPmzZtanmGAICD+HpOxbGz3RUbkx1T/6rNXrtE8X7Jtk8k\nrR11YtxE9SHsQDFvUgHyJo3tpTT8bXjLnTDOH95yJyaJS/VAvAVcTPx1p/700pcEexmJRM4/\n//y1a9cWFBR8//33jRo1IqJq1ardfffdq1at6t27d0TruwkAwAAtYWd7gWK2sDNZiMSq/eby\nAhzRjp265hYrNMRyJ+aBLFWkoTwxJlAYSODYffbZZ0uWLBk5cuSQIUOIKCsri4gyMjIeeuih\nhg0b3nTTTdOnT+/SpYvETAEIPU45duxULOOOzlttOEiaRkvYRc/NczotCWIxGZRCBSmWynfw\n0AUyUBhI4NgtXryYiPr27Rv/qwsvvJCIli5damNaAIB4tLpibS934m+fnV3G8AqG8CrMdAu/\nGFU7YoU+RJwjwKixs30QfFxeI80fZU9vie2Rh8vFoIaBBPYoDCQQdoceeigRFZe1ataWLVuI\nqFq1ajamBQCIx6mu2JhKF6temsmzg7SsHd0o0aNUYJcu8RohGXVsAgfB5GiL1djZPn94gVwu\nBk2L9lvU2BERtW7dmoief/75+F+NHz+eiFq2bGljWgCAeHytJpCK1XXsZKwa266YmG0QDMdO\n3qQR64oVswZtJy59tFxVD60TNSmB7KXL/UBhIEGNXYsWLS677LInnnhi165d11133YEDBwoL\nC5ctW/bss88++eSTPXr0OP3002UmCgBwyrFjr2NnYr+pwLa4eBkukyXcVIgXdopDiGs7ybhB\nWm6imJEmZg0aBhL+jNSH8AIZmp2MQMEm8XInzz33XElJyQsvvPDCCy8Q0ciRI0eOHElEZ599\n9iuvvJIREgEMgAOk+zp2bP2Uman9hd6/+TG6OrQOl22zKl6nJhwVLTrZHSS8pctsK0i0GugG\nMumKFehcTkpDsVagMJBY2NWsWXPixIl33nnntGnTli1bVlxc3LRp09zc3K5duwrMDwDgYzUV\nG3NxtCHsTBKR7FSs7Ruz1t3FQ0s8xQxRGcVLxcYEsp2KJfuJS4/g5XwFUrEmJRC2V6v2QSq2\nPBILO4/WrVt79XYAgFThcipWBWebJ8SsHfOlWFSIT4q5XJgvcLR1hxBSsbLNE4wuH16gkKRi\nEy938tprr/3yyy9l/jYvL2/KlCkWZgUAKAOry53opmJ92I6dVS+EN8S2YxdTmceYG9lvnpBx\ng4LU0+CB5U7MAwn4xGEggbCbPHlyv379Tj/99Llz58b/duLEiYsWLbIzMQBALJJPnkh4HYyx\nHCyVssWoDUYUsYoimbmpjOLV2DECmdRvicloNwvFglfMly6BwkBiXzIzM3PPnj0dOnR45pln\nBCYEACiT0tLf76O6NXYq2+vW2MXc1K0m+2SaABg9DSSV7ox27NT1lu1AJrdYw3xiYPQW2kFI\nRHz7gcJA4r2sXLny/PnzTz311JtvvvnKK6/cu3evwLQAADFEp1/tOXbsm7rVizhjiG35aOIh\nmWSWVUaZOHYCwi4t1Imb1iD73Cb7eyTWuYyu2IQoydeGDRvOnDnzxhtvfPXVV88444xly5bZ\nnhYAIIZooaZbY6d+4VO/zZisY8dontBtHbBdzi/WN8Be+o4diNGlwRMNunPTDZSUj5UhGmwH\nCl7zhPyfXrBR3csqVao899xzL7300ooVK9q0aTN58mSr0wIAxBDjwKnn48r8b3nbZ2f/4b8V\nEONtuJZX9Ze+Y1TyOZh4EkjFBtWxk0zzyRhpYu3bvOYJl3O+cOzK4Nprr509e3bdunV79+59\n5513lqo3zgEAzIhJv6rXwGltr95oZt48YfWWadI34OCNmdc8Idal4ea9XD7N56CCdPwzkv9O\nFQa097Jly5bz5s3r0aPHY489hno7AMSIEXYJs7GGjp26LeRa8wS7Dsn23cXfQKynQaxLg5eK\ndXA5X8cDiUlV9h8RL5BAQ3qoauwSLFDctWvX6tWrx/ywTp0677///ogRI8aPH1+rVi1rcwMA\n/E68sKtSpaLtYy52CfstvMslY9V4q0+e8GCkhLQaFNhRSOfuEq23TJonLAXyh/g3P61AGRkU\niejdmHXT62TWqiKQT7QdyIPxsZKmDGIIO5NA/ih7J4MHhB0RUfv27du3bx//88zMzIKCgoKC\nAiuTAgDEEaPMEgo12zV2DMeOYdW479ip313kS9+ErUEtYed4PlHMdnKzhzQtHDveHoWBMoTd\n559/PmPGjNNPP71Xr17e6wrGd+rUqWPHjrZmBwD4H7oOnGGNnaJM0TIPZKrf2EPcTMXG7I7K\nqJQ0T1iV0bwe0rRQkC4HcnNt56R0LgebMoTdjBkzCgoK8vLyevXq5b2uYHxBQQGEHQAC6NbY\n8Zot1FOxMZd+RvOEVmWMZPOE95OK7wGMuwtPBonpLYaCNJGqYkaapGiQkarBU5CSgcJAGcLu\npptuuuCCC+rUqUNEN99888UXX1zB+MMPP9zW1AAIAd9+S089RXl5lJubYEuZrljd5glhyWVp\nSJlZyIrvAWKp2KQ0TzA0tEogE2vQTTcohTlfq33l5HbO1/YexX+swaYMYVe/fv369et7r3Ny\ncnJycmSnBECIuPtu+vRTmjKFtmxJ0AxhW9h51z62Y2dbcjG6DXStRLYrpjvEdobU8WK+pBhp\ntpcndPPJE7AGycwsD4ljpyRf9+3bt3r1au/15s2bhw4d2r9//7ffftvmxAAIBTt3EhHt2nXw\nRQXINE/o+k+8TgjFITzdYOILMm4VPNvA/QypViCZhQYJektWb7l56BiBor/qhIHEwu7111/P\nyckZPHgwERUVFXXq1OmRRx55/vnnL7744nvvvdf+DAEIMv5akIWFCbY0dOwUr32M5gndmxnj\ncmzy2CUVYiamPkRrbvF3F0up2Pi5qcA+biT1AZHZHtnTW4xAvOSg7l8QRe0R72lstlOx7D+9\nDNbTk0OSik2wlxs3brz++utLSkrOPPNMInrnnXd++OGHm266admyZX/5y18effTRdevWicwT\ngGDi6zldYafr2Clur/tIMUbzRIbycl/RzhNjHTv2xLTmxssHsTPLiqNiAtk+CEQae+TPzd8j\n9RUNeWuk2bYG/SgyNXaM84dYjh2xDp3Jyny2Cyfg2BERTZs2bd++fS+99NKgQYOI6L333qtS\npcpDDz3UrFmzgQMHFhcXz5o1S2SeAAQTtmOX8Fqmuz07Fct27BS31xpiMjGtiz7DnzDJVfGW\nOzFxg9SHEBy7ZARSIaiOndafHqM4gXe005cEe7lhwwYiyv1fw96sWbPatGnjNcy2bt2aiNas\nWWN5hgAEmX37Dr6w7djpdsUqbm9SysZw7KzWIfFuFQxhF7zmCfMeZJUhFO5CMTI4t90MJHb+\nwLH7A0cccQQR/fjjj96/q1ev7tSpk/ertWvXEpEn8gAAPNjCLuU1djEqzcb9L/66b2lJCJNb\nBa/GTqZ5QmzBPDEFaXvNDjEZJL84iIOaOCm1FrqBwkCCR4p16NAhOzt71KhRWVlZDz30EBGd\nf/75RLRz58777ruPiFq0aCEwSwACSSRCRUUHX9sWdrpdsYrbW5VcSVn4TUA8MYaI+RMytqWk\nNag4JD5QAPSWmFSV6fNNyYkaBhIIu8aNGw8ZMuShhx6aOnUqEfXq1at169YlJSV169YtLS3t\n0aNH27ZtReYJQAApLPz9kuRbd+VhOxXrzUR3HTuTOm6tBgVGbb5Jgbn63HipWBN/wmrTCbEO\ngmE7iFagjAyKRDT6LbREg49Yl4ZWID+K7eYJP5DuocvQaVaV/2IAYXeQBx98sGPHjrNmzTry\nyCOvvfZa74ddunTp1KmTtwYKAIBHtJhzrcZO8aLsX15Vbku6Fdm8L/RJcewYXbG66kRrbm46\ndvJ75E0vEnHIdqK4Q6elt8SSyzJPYxM4UZNSOBFsEgs7IurWrVu3bt38/2ZlZX366afWpgRA\nWNi///fX6Z6KtXG3iP9C706NHUMBiPkT0XMTu1+yPyCtQLxDx/C3bMsg+eSyTM6XZ8QaFoNq\nfacKA+GQrwA4SbSwi35dJoaOneK9U6B5Qn1IUq77tqVGmJ88kZQiSHuBTIw0N0vfxPaILVXF\nTlTU2FUAhB0AKSNazB04kGBjGceOvdwJo1xMRjeIJXfcSTzJt99GT08xkKE1mO56S9hII/3y\nWRK0vSVzvmEAwg6AlKHl2PGEmu72DMdO94qsnrZLisVl26zSXdKZ7BtpYjdmsVRsSrLYikPi\nAzmV83W5ZkDMWo7X68EmHHsJgJOYOHaKqVhd2aFbY8coYLK93IlwFsnBxR3SJRXr8qFzecE8\nl5cnFFtwEanYCoCwAyBlRIs5S6lYXaGm2xVrNTUWfd23twxy/BCVUSardrmZ4XJZQabEg1Qc\nQnGHzsFULFtvmaxi4+D5A2EHALCLlmMXs0FCoeYJQV2hJvOsWIZjpzUrw4mpEJ+KVR9i6E8o\nDtEN5IsGdeLVifooxhDHAxk6dir4J0PMm6jPTYWkiE7dQFb/WsOWilVa7uTXX3/94YcfDpR1\n52nYsOExxxyT7FkBEApMauwUU7HqzRDetY+xQLFucVWG8qq50d+zGUPUbxUxUVQC+civY2c7\nkMkCxerHjReIlFe3Li9QxUI8XgEwTmxejR3jaAucP+xCC91AYn8RYSCxsHvssceGDh1aUs5t\npKCgYNiwYcmeFQChQKArVrfLVVcIMpI1jAWKeUPY2VuVUYzmCd5tTDgVK5BKS0qXhkzON6K2\nEnJMIEs1dgHOsEsWg4aBBMJu6dKlQ4YMqVWrVv/+/Y8++uiMuKOCR4oBwEarxk5m+RKBVKz6\nRZxxJ5O/+Yk1G9ou5jM8CGI3ZklNrCXseDV2tr8YpNHRthcIjt0f+OKLL0pLSydPnty5c2eZ\nCQEQHoqLf3+dMLVq2DyheJHVFYLq61ww6mkYQxh6i6L2RZ34IZZkkEmhGON+qbVHaVH6Jh+I\np7cUh+gGYpS+8QLFfzHQCoQauySSYC/XrVuXkZGRm5srMxsAQkW0S+dajZ2iTFGXDozCHYZF\nYVIeRPoFczwjjVcjZVL6Zik5GB+IUZGmOIoRKGaIvUAxh85SoVi0Xne2xk6gGDRmiG6gMJBA\n2NWrVy8SiXz//fcyswEgVAisY8dOxSpuz1BpVgvmhFOxbq6yK5+KDXlykH0yiFWkCZyoYntk\n+LGGgQTC7pprrmncuPENN9ywadMmmQkBEB4EnjwhVmOn5TewhzA0jYrjwr4niektMQXA9pCC\nUczH+/rBDiRw/rjcqpKSrzphIEGN3bJly/r27fv44483adKkU6dODRs2zM7+w5CePXv26NHD\n5gwBCCzRYi6hA5fu69jFF8wlhJEcZEShuH1RD8QzQnj1f/KBFIeQ5v3Slxo+YsV8NgLxRAOj\nIi3eduLJIEuBDM8fqzV2YXPsEgi7jz/++OGHHyai4uLiDz/8MH6DevXqQdgBwEMrFWvVsfNd\nB8ZyJ/a8NBPHTt0XJAOzAak0D17Ol1fM51qgMuu3GOePeqEYYykfx/1ROHbJJYGwu/322/Py\n8irYoFatWkmdDwAhQqB5QrFmzr/w6Tp2jBo7kyFWk4OMuyz7NsboadCyTxiB/CEMqUE66wbH\n7xGjnN+dQPGnnPdDlZWQvSEZauuq8L60+ENkmm/YUlXgrzU8JBB2NWvWrFmzpsxUAAgbAs+K\nVUzF+u+muw6+1Ro7XsGT7hCK2xf1QGIVRY47dmI1djKBvO3ZJjEjEE/YWfpY5UsnxQLBsfsD\nM2fOnDVr1qpVqw4cONCsWbP27dt37NjR6swACDzRWi21y53ECzt7jh2jLM8kFWtV0whkuFwu\nfhfbI7Eq++j6P8Z3ifgfVjzKG2Lvz4EEP1Y/kO0lu9EVm5DEwm7Lli39+vWbOnVqzM+7d+/+\nz3/+Mycnx87EAAg+7jx5wtyxs6rSeMudmGSR1BUAL80nk3hy0xp0WUEy9FZ8wldllKGCdNBI\nS4tvICERdgl8yUgkctVVV02dOvWSSy6ZNm3amjVr1q1b95///OfSSy/95JNPrr32WplZeuza\ntevjjz9+7bXXNm/e7P1k7Nixubm5rVu3zsvLW7p0qeRkADAn2nWzlIpVdOD83zIcO3t51aQs\nd4JUrGIg+eYJZw+dlt4qs8bOtoI0+QbioF5HKja5JHDs5s2b98knnwwYMOCpp57yf3jUUUd1\n6tSpfv36o0eP/vbbb1u1amV5kkREX375ZZ8+fTZs2EBEGRkZb7/99po1a/Lz84moUqVK3377\n7Wuvvfbmm2+ee+65ApMBIClEizndR4pZSsWyHylmw0uT0YIUdfPTbZ9EKtZDTEEyTh4xvZWZ\n+ftrSQVZsQslnIpl63XdPl84dhWQQL4uXLiQiG6++eb4X3k/XLBggY1pxVBYWHjFFVds3759\n8ODBTz31VOfOnfPy8h5++OELL7xwy5Yt+/btmz59et26dW+++eZ9+/YJzAeApKAl7IRTseq3\nQIEnT1j1BYl18wuwEWK7RspQarDnph6IlyEVC2T7ESnBS8WGrcYugbDbv38/EVWqVCn+V94P\n9ycs+U4Gn3322erVq8eOHfvoo48OGDDggw8+qF279vbt21944YWcnJysrKzOnTs//vjja9eu\nnTVrlsB8AEgK0WJO17FLubDTvY7HL0aq3kgr49iJ3S/dTFwGLBVrmLgkYyNNZXqGzRPqgdz8\nBiLffotULBHRaaedRkQTJkwYMWJEzK8mTJhARC1btrQ0s2iWLVtGRP5KyFWrVs3NzZ09e3bd\nunX9bTp06EBE33//fbdu3dTf+aeffjrjjDMOVFjfVFRUREQRlTMOAB2izzt1laOyfWnpwWuZ\nolCLllAq21M5YqiCL8SMi7hhjV3MTxIG4j0+Qd0DiLcNeHpLPZDMQSDj5HJCokWDib+lGIjx\nDAlvVMKvZz7RCjLmfVQC6Z4M7ECKQ8jg2xEvkOGfXrBJIOzatm3brl27Bx988Ndff73pppua\nNGmSkZGxcuXK5557bsyYMe3atWvdurXALKtVq0ZE27ZtO/LII72fHH/88bt27YreprCwkIhK\n1P+wiIjo2GOPnTRpUsXC7v333x89enRGSM4IIIi95gn/+qj+5AmPzEzKyqKSEtWkZ8YfFz6t\n4I6YlFQsoxjL6iKu0XcXrWZV3VV2tQL5aJUuxQxRCRT9tibWjvrRJlLdozL9LUYgxseqPsrb\nnhGIvUf+Vz7FQFZby5MVSOvQhYEEwi47O/v111+/4IILxowZM2bMmMzMTCIqLS0lohYtWrz+\n+usxj461xEknnUREL7zwgt/Dcc8998Rs8+677xJR8+bNtd45MzOzU6dOFW+zcuVKrfcEQBF7\nNXa6zRDxd0Hd5glSNgXVL+LRWpB9O7eahXTzSU1BTcUKlL4Jp2IF9igpOV+nTlSkYhOSWJYd\ne+yx8+fPf/PNN2fOnLly5cpIJNKkSZPc3Nw+ffpkSh2k3Nzcjh07jh079ueffz777LMHDRoU\n/dt58+a9//77I0eObNSoUdeuXWWmBEB57N9Pr71Gp51Gp52WYEt7NXa6NXPROTUt1RV9eVU3\nBWVSsQL3JDG95WYxH8NSJdbRNpFBvNJJUrYGHVeQabFgHi+Vz+ukCQNKfltGRkafPn369Olj\nezYV8MYbb9x6661vvfXW119/HSPsevXqtWnTpqOPPvrtt98us88DAEkeeoiGD6e6dWnr1gTX\nEQcdO13VpX6PYZiCMlqQDO5JYv6W1m0sXmqoZG+FpSpjjyRXfWME0lruxGSPeCeq/y8v5xtJ\ntK6K4Sok6ieq4Z9eGChD2H3++eczZsw4/fTTe/Xq5b2uYHynTp1kni12xBFHvPnmm7/88suK\nFStiftW/f/+mTZtedNFFXikeAKnl3XeJiH75hfbsoRo1KtqSsY5dRsbBi1RyhV38PUM9Fat4\ne06KSrO03En8PUm3Rkq3dEkgcckLxL5f6tZIubxusONGGiNQUtpvKxZ2aZGKDa9jN2PGjIKC\ngry8vF69enmvKxhfUFAg+dDYunXrRnfC+nMQmwAACfG7ehIKu2gxl1BJeBtnZx98qmzF2/vv\n7Au7iq99/va6qiv6G7B6tlf3BqPeBmjSp2m72dBwburEd8Wqj8rK4tyYbSfFomW0YqAy/a2E\n6J7VMYH8vdNy7LTmRvb7fE3OH943EMOvYYwTNdiUIexuuummCy64oE6dOkR08803X3zxxRWM\nP/zww21NDYD0ZO/egy/27EmwJSMVqyjszB079TuT4k3dpGCO4djJeAACNelsN5EEH3HB+Ezh\n2OkGSklymXfotIaQ5olq6GGHgTKEXf369evXr++9njdv3tdffz18+PD4zSKRyG233XbppZfm\n5OTYnSMAaYWv53bvTrAlIxVbqRJ5T1ex1xWr1X+qfnlla0etIWINofI16SY1dpZSsYyjLd9D\naluv8/RWUr4YWAqUlD2KRGydqIbt22EgwV7OnTvXW4g4nt27dz/zzDNffvmlhVkBkMb4jl1C\nYae1jp13OfO7gyoWgv6FzO+KVXfsvGtfQqHp32sV1+6KvoizVwjTulUwlnDTdcW87XXnRsq3\nWPrjHsW/T8Ihri2YFz83lUAmR1sykMn5w+tpsB2It6gh+9BZ+gYS/0cUbMruip08efKQIUOI\naPv27bt27WrWrFn8Nps3by4pKfFWmAMAeBQV/S7RtFKx6jV2HhVfy8xr7BIiXGOnEoI3hMpy\nH9WH+FitKGKXLqnDPgikIzoN5+ZjKftmWGPHq9E08SC1AmkNIdYBF/iLMEnFhsSxK1vYVapU\nqUaNGkS0e/fuzMzMGmVVgNeoUeOUU07p0qWL3QkCkFb4dh2lp2Ona6fxHDtGSsieyUdlfaFX\nNKsMrR3b/gQpmzQ+DDeIvepbWjh2Ykaam9Yg+9CVlPBzvhXLUMMrSYAuAAAgAElEQVS/iDBQ\ntrDr1atXr169iGj48OGvvPLKggULZGcFQLoS7dIVFSXYmOHYeU2LCetXdB07tjdmtV/V/a5Y\nQ2vHKcfOO2dstwabl74pDjGxBtn+lrDjywukOIT+KJ4YgXhVg4qBeMWgIXHsEuzldddd9+ab\nb5b32yVLluzcuTPZUwIgjSks/P11cXGCjbWePOFfNz0TTtEeYyxQrPL+FHV5ZdfYMb7QM+wT\nrfIyYQ+J59gxHBerjp3WQTBvnoBj52Yxnz+EF4jxGaHGrjwSCLtjjjmmdevWZf5qx44dbdu2\nLa+1AoBwEi3mvHVJKoDRFesvM1bx5c9/N8VUbFIcO6s1duw6JC1XTB2GWSVc/8cbZbhGmiXH\nztAaVCeo/pbWHpkU8/EOnWExKBy7GBI/Umz+/Pn5+flLly4t/eOdYe/evcXFxQ0aNLA2NwDS\nj2gxZ8+x279ftcaOsY6dWI2d7a5YdWEXE0V9bob+hCXHzodnW8rbTlqpWIY1CMcuJXvEduz8\nr6MJA6nUpUQDx46IaN++fd27d//6669PPvnkrKysnTt3tmnTpm3bttWqVSsuLn744Ye9UjwA\ngEe0mLMh7LKylC6a/m91a+x0JZRVx46h0kxq7NhSw97uUFl6i2HtWA3k32J5cyNN0aD7rYBR\nzKe1R8ELVKYmtnEypGSPwkACYffRRx9t27btqaee+vzzz70WimHDhn3yySfLli1r3br1rl27\nqlatKjJPANIDrVSslrDza9u1hB0jFat444xPiCS9xo4hUEzEEzs5yNY0vFSsVUGsdS83Ube2\nj7aYNWgeyOoeRWdIXdNb8ocuJKnYBHv5888/E9F5551HRMccc0zDhg09eVe9evXHH3981KhR\nP/30k/1JApA2OOvY6aZi1e+1Ao6drtwkzXRn/L4wPCQbuxMdiCHsTA61+ihzx87GvZwXKFke\npDuBxNLlDAWZkkMXBhIIu8qVKxNR5v9UbuPGjZctW+a9PuOMMyKRyFdffWV1fgCkF7aFna5j\nx1juRCvVlan8qKv4u4WWSmMLFEuOXVKkhlU3USuQ2C1W3rFLlwyp1eSygN5yObkMx+4PnHDC\nCUT0n//8x/tvs2bNZs6c6b1ev359aWnpxo0brc4PgPQieu06S12xKl+7dbtiBZ48ER9C/Qb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STNnvkW+Pijc0bncdiyIJl2dxOBQ7tkzd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\nIEtLC5j0728rt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}, "metadata": { "image/png": { "height": 420, "width": 420 } }, "output_type": "display_data" } ], "source": [ "# agora K = 15\n", "parms2 = c(r=1, K=15, a=1, h=0.1, e=0.1, d=0.1)\n", "\n", "out2 = ode(y=y0, times = seq(from = 1, to = 1000, by=0.5), func = RM, parms = parms2)\n", "\n", "##plotando a solução\n", " matplot(x=out2[,1], y=out2[,2:3], type = \"l\", lwd=2, lty=1,col=c(\"blue\", \"darkgreen\"),\n", " xlab=\"Time\", ylab=\"Population size\")\n", " legend(\"topleft\", legend = c(\"Resource\",\"Consumer\"), lty = 1, lwd=2,\n", " col=c(\"blue\", \"darkgreen\"))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Olhando novamente para o gráfico de espaço de fase, vemos agora que o fluxo (as setas) de dentro apontam para fora, em direção a um ciclo limite, e as setas de fora apontam para dentro. O ciclo limite corresponde à solução periódica que acabamos de ver." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Warning message in arrows(x0 = coords[, 1], y0 = coords[, 2], x1 = coords[, 1] + :\n", "“zero-length arrow is of indeterminate angle and so skipped”\n" ] }, { "data": { "image/png": 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enh4fHo0SPpkc6dOycmJurp6SmjjRru5UvCYBAWixgbkydPSGYmSUkhT54QAwNi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\nbvSLv/4CgIQEbnqsGAMH0nvOni3XGY8dQ8WK9CE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4UV569OgRhg+ndc4J2cExzrVr1+7hw4cAcnKwcVCnZVwAACAASURBVCOLB1tbY/t2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xxBPG/e7GDXYPbfRo2r+/oRuEhNCyZfT66xQVRUTk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\n/vxf7N69e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}, "metadata": { "image/png": { "height": 420, "width": 420 } }, "output_type": "display_data" } ], "source": [ "## calculando os vetores novamente\n", "xs = seq(from=0,to=6,length.out=8)\n", "ys = seq(from=0,to=2,length.out=8)\n", "coords = expand.grid(R=xs,C=ys)\n", "dvs = matrix(NA, ncol=2, nrow=nrow(coords))\n", "for(i in 1:nrow(coords))\n", " dvs[i,] = unlist(RM(t=1, y = coords[i,], parms = parms2))\n", "\n", "##A trajetoria\n", " plot(x=out2[,2],y=out2[,3], type=\"l\", lwd=2, col=\"blue\",\n", " xlab=\"Resource\", ylab=\"Consumer\", xlim=c(0,6),ylim=c(0,2))\n", " ##e os vetores\n", " arrows(x0=coords[,1], y0=coords[,2], x1=coords[,1]+dvs[,1]*0.5,\n", " y1=coords[,2]+dvs[,2]*0.5, length=0.1, lwd=2)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### O diagrama de bifurcação\n", "\n", "Vimos as soluções para dois valores de $K$, $10$ e $15$, então queremos plotá-los como uma função de $K$. No segundo caso, há oscilações, então ao invés de pegar toda a solução, escolhemos apenas o mínimo e o máximo da solução (depois de muito tempo). Quando a solução é um ponto fixo, o mínimo e o máximo devem coincidir." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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cmpa9eub7zxRteuXS0c7z8st6VYaWnpmjVryrevqBB/QQOql5eXJ94iItJEJFrk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\nHQDAUdxzzz179+69555TIveLbLm53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}, "metadata": { "image/png": { "height": 420, "width": 420 } }, "output_type": "display_data" } ], "source": [ "##plotando tamanhos de população mínimo e máximo com diferentes valores de K\n", "\n", "##objeto com os números de linha que usaremos para o gráfico a seguir\n", "lines = (nrow(out)-500):nrow(out)\n", "\n", "##criando um gráfico vazio\n", " plot(0.1, type=\"n\", xlim=c(0,20), ylim=range(out2[lines,2:3]), log=\"y\",\n", " xlab=\"K\", ylab=\"Min and Max population\")\n", "\n", "##pontos para o K = 10\n", " points(x = c(10,10), y = range(out[lines,3]), pch=21,bg=\"darkgreen\", cex=3)\n", " points(x = c(10,10), y = range(out[lines,2]), pch=21,bg=\"blue\", cex=3)\n", "\n", "##pontos para o K = 15\n", " points(c(15,15), range(out2[lines,3]), pch=21,bg=\"darkgreen\", cex=3)\n", " points(c(15,15), range(out2[lines,2]), pch=21,bg=\"blue\", cex=3)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Este é um diagrama de bifurcação pouco informativo: ​​tem apenas dois pontos em $K$! Vamos tentar com muitos valores de $K$.\n", "\n", "O que acontece quando alteramos a capacidade de carga $K$ de valores muito pequenos para valores muito grandes? Para valores muito pequenos, o recurso não vai sustentar a população consumidora, mas para valores maiores ok $K$, ambas as espécies devem ser beneficiadas... certo?" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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1XdVv1e3nvv5b1XUFdw2i4/T7/LxlxmD3NjAscMQcVERBIKdpxSjIgcpq8Pd9+N\n8nIAeOopxMZexHtrO2q35m19L++9QycOnbp9YuTE2cmzhT65hJAE2Uge45iIJEsawY5TihGR\nw3zyCVauREMDAGRkYPXqC3pXQ1fDB4c/2Jq3df/x/afeJZKiTpl32bz5mfOTw5OHp14iopOk\nEew4pRgROUBTE1atwocf2lazs/HGG1Cc82uyZ6Dnjf1vvJf33ml5Liks6ebMm2/OuDlVnTqc\nJRMR/Yg0gh2nFCOiYWW14q23sGYNOjsBwM8Pzz6LO+8815ywZov5X3v/9dgnj7X1tdk3JoQk\nCHluYuTE4a+aiOh00gh2nFKMiIZPVRWWL8eePbbVefPwt78hJORcb9lTsWfNe2uO1B8RVuOC\n427OuPnmjJsnRU8a5mKJiM5FGsGOU4oR0XAwGvHii3j8cRgMABAbi7//Hddcc663HG87/uDW\nBz8q+EhYjQmMee63z83LmDf8xRIRnZ80gh2nFCOiIbd3L5Yvtz36qlDg7ruxcSPO8fBVv6H/\n+S+ef3bns8JYdJ6ung9e8+BDv3zIQ+nhqJKJiM5DGsEOnFKMiIZOdzceegibN0N42iE9Hf/8\nJzIzz9reYrW8nfv2Qx881NzTDEAmk/32st++MO+F6IBoR5VMRHRBJBPswCnFiOiS6HSorUVD\nAxobbQuffmqbKMzbG089hVWr4OJy1rcfqDlw37v35VbnCquZMZkv3fLSFWOvcEjtREQXR0rB\nzk6pVIaGhopdBRGJo6vLttDdbety6+2F2QwAPT1oaEBdHRoaTi7Y25/m+uvxyiuIPnunW0NX\nw7qP1r2d+7YwjkmEX8TTv356UdYiji1MRCOWJIPdqZYvX56TkzNv3ui6c3lwEG+/jbffRl4e\ntFqxqyE6nyEJQhbLEBwEQFgYYmNx3324+eYz7O3SdR2oPnCw5uDBEwe/Kv/Kfjvd2jlrH7zm\nQU9Xz6EpgohoeEg+2O3YsUOtVotdhYMUFuKvf8Xu3aivxykjoRKNdGL9cZXL4eWFwECEhyMm\nBgkJGD8esbGIiUFQkK2NwWQorC88WHNQeFW1Vp06zrBMJrv18lv/9Js/RfpHinMOREQXQ/LB\nzun19WHTJmzdiqIi6PWn7/XwQFTUuW4PIpIipRKDg2fYbrHY+u3MZtvC4ODJBaMRg4M/eqPF\ngr4+9PXhxAn88AMAQGaBa4/Mo/UX8w4mTj9Y0HCwsL5w0HT6h8lksoSQhClxUzJ0K8oAACAA\nSURBVO7+xd1ZcVnDcIpERMOCwW6EKijAM8/gu+/Q0nL6LpkMUVG46iqsXIn0dDGKIxo6Xf1d\n3fpuYdloNmoHtH36PmG1V99rtVr7DH1Wq1Vv1BvNRgBmq7lf3w/AYDL0GfpMZhMAs8U8YBwQ\njtCj1fdqB3v7Db06vW7A0D/YbzDpBy16k7wHLgNw0QOwAnus2LP3R5WE+IRcHnu5/eXv6e+4\n/wpERENEesHOZDI99thj9tWenp7du3fr/68vKycnZ/bs2Rd+tM7OzkcffdQs3Hd9FuXCOFcO\n9MMPmDbt9KtXPj7IyMDChVi4EK6uDq6IJEzTrdGb9QBaeloMRgOA1t5Wg9kAoLO/U2/SA+jW\ndesH9QAGjANagxaA1WLtHOgUjqDVa40mIwCjxagb1AkbB4wDJott1KGBwQHb5UsrhAMCsFqt\n9gZWWE/9W2aFAy/NyoGz/X2xKGTauEnqK+6ff/UV8VmxQbGOq4qIaHhIL9hZLJb333/fvqrT\n6crKypqbm4VVtVp9UcFOJpONwAfcFi60pToXF4wdi+uuw8qViIsTuywaUq29rf3G/va+dp1B\n16Hr0Bl0Xf1dA6YBIWP1D/brBnUms6lH3wOge6DbarYOmAYGTYNmi1ln1OH/4pTZahZSl8li\nslqt9gjl0PAkUXKTVVV5WFu5ZPOHl8ddNn1cRkZMRsaYjLhg/mUjIqmSWSV+E35UVNQdd9zx\n+OOPD99HbNq0acWKFX19fd7nGJN+6Lz3HubPB4CICDQ0OOAD6SJ06jq7+rsaOhu6dF1duq42\nbVuXtqtP39ej7+nV9xrNxi5tl8lq6jf0G0yGQfOgflBvsVr0Rr3FYjFbzWar2WqxSjRyyWQy\noXC5XC6XyYWNLnIX+7Kb0k0GGQAZZB5utskYZJB5uXrZf33ydvN2kdnuCfVw83BXutuP4+Pm\n4yJ3Ed7jqfR0dXFVuigBuLu6K+QKAF5uXl5uXsLblS5KN4Wb7Zju3jKZTOmiDPAMkMvlwpVc\nvVE/MDgAoE/fJ3Qcdum6AJjMpj59X89Az+G6w4V1RwbNhp+eaYBXgJDwLo+9fM74OfYPIiIS\nDA4Ourm57du374orRtyQltLrsXN6d99tW3j9dVHrcGqDpsETHSc03Zr6rvp2bXu7tr1D29Gt\n6+7R93Rpu7QGbf9g/4BxwGAyGIwGo9losVgsVovIgUwGmVUmk8mE9COEHqVCKQQdTzdPAAq5\nQpjeysPVw1XuCsDf219orHJXAVDKlX6efgAULoognyAALjKXUFUoALlcHuEbIXxUsCrYw9UD\ngKfSU9jrlIxmY35N8RN/y9tVcMgamAf/UsiNADr7O3eV7tpVugtAijrltdtemxLLSaiJSBoY\n7EaW//kfdHQAwMSJuOoqsauRml5979Hmo9Vt1fWd9c29za19re3a9s7+zh5dj9ag7Tf06016\no8lotpqHtaNaBlv8Enqz3JRucpncw9VDKVe6K93dle5uLm4erh7uru5erl7uSncvVy9PV08f\nDx8vNy+Vm8rb3dvX3VfloXJXuof4hgAY4z9GLpcPX8GjltJFmRU/eedLk7/88ve33YamFj0C\nC/0T8qZcl99gyCvXlJst5rKmsml/mnb/Vfevv3G9vX+RiGjEYrAbQSwWPPooAMhkeOcdsasZ\neco0ZVUtVTXtNdXt1ZpuTUtvS0d/R5euq1/fLzwyOVQ9ajLIFC4KhVzhqnB1U7q5Klx93Hzc\nle7uru5+Hn7ert7ebt5+nn4BXgG+Hr7+Xv7hvuF+Xn4BXgHhvuHuCv7bLz1XXYXCQtx5p/sn\nn2R1tWZ9sR+rVuHb5/s3ff+XJ7c9aTAZnv/i+W1Htr1222tTx04Vu1gionORfLCrr68Xu4Qh\ns3IldDoAmDUL48eLXY1IiuqLihqLKporKpsr6zvrW/paOnWdOoNOGOri0shlcuGWLA9XD293\nb5W7ys/DL8g7yN/L39/LP8grKMw3LNQ3NFwVHuYbFuQddP4jktMJDsbHH+PNN3HPPdBq8Ze/\n4Ouvvd5555EbH7tx6ZalB2sOVjRXzHhuxr2z791w0wbhejcR0Qgk4YcnamtrOzo6goKCos8x\n1+NQcMzDE319CAyE0Qi5HBoNQkKG76NGhMbOxj2Vew7UHChuKK7rrOvs79QNXnR6k8vkrgpX\nD1cPlbvKz9Mv0CtQ7aeOCogKV4VHBURFBUbFBsUGeAYM0ymQUzp6FAsXIi8PADw8sHUr5vzS\n/Oddf37808eF6cUSQhJeW/ra9PjpIhdKROLhwxND7F//+tf69euFvronnnjigQcemDJlyh/+\n8IelS5eKXdqlW7QIRiMALFjgbKlON6j7rvK7fcf2FdYVHms71tzb3DvQa7Fe0MSfCrnC09Uz\nwDsgxDskMiAywj8iLiguNig2ITQhMTRReFiSaAiNG4f9+/HEE3j2WQwM4L77UHmty9o5a29I\nv+H2Lbf/cPyHqtaqmc/NXDVr1dO/fppTxxLRSCO9fxc3btz46KOPBgYGzp8/f+fOnQAUCkVz\nc/Ptt9/e0NBw6tjFElJXh08/BQBXV/zrX2JX87OVNJb899B/vzn6TVVrVWd/53n74RRyhZeb\nl7+nf6hvaIRfRGJIYoo6ZULkhIkRE/nQADmeUomNGxEUhPvvx7Fj2L0bV12FpLCkvWv3vvzV\ny49+9OiAceDlr17eXrT91dtenZk4U+x6iYhOkliwa2pqWr9+fWZm5s6dOwMCAhISEgC4ubkV\nFxfPnz9/48aNS5cujYyU3lzd8+fbRiT+wx/gLsGb7zt1ne8dfG9n6c6CuoKm7ib7fAM/JZfJ\nvdy8wlRhccFxEyMnXjH2ilnJs4SROIhGlNtvx2OPob8fmzbZHlF3kbvcf9X910+8ftmWZd8f\n+/542/HsF7Lv/sXdf/rNn7zdHDHIJRHReUks2O3atWtwcPCFF14ICPjRjVPh4eEvv/zy5MmT\nv/vuu1tvvVWs8i5Nfj5ycwHA2xsbNohdzYUxWUyfF33+SdEnudW5Na01wkQIP+WmcAv2CY4O\niE5Rp0yJnZKdlD02eKyDSyW6NL6+uOUWvPoqPvkEjY2IsI3xh8TQxG/XfvvXr/+67sN1ukHd\nK3te2VG84/l5z9806Sb7WM1ERGKRWLBrb28HkJiY+NNdERERAJqamhxd08+2YIFt4fnnMcIv\nPGq6NU9//vSHhz/U9GjO+NiNi9wlRBUyMWLiNSnX3HL5LeF+4Y4vkmioLF+OV1+FyYTXXsOp\nd3nIZfJ7Z997/cTrb99y+3eV39W01/z2778dFzbuwWseXJS1yFXBuZyJSDQSC3bjx48HcPjw\n4Wuvvfa0XQcOHACQlJQkQlk/w4cfoqoKANRqrFghdjVnoenWbPxs40cFHzX1nJ6bZZD5evgm\nhibOHDdzXsa8zJhMUSokGg6ZmbjsMuTn45//xLp1cHH50d6xwWP3PLDnf/f87xPbnujQdhxt\nPnrHG3c8/snja65a8/srf+/j7iNS1UQ0qkks2GVlZQUFBd13333jxo0bO/bkRb3GxsbVq1er\nVKqsrCwRy7sE9jC3aZOodZxJY2fjxp0bPy74WNOtOXW7DLLY4Njp8dPnps29Ie0G9k+QE1u+\nHL//PRoa8NlnuOGG0/fKZfKVs1Yunbb0X9//68VdL9Z11jV2Nz6w9YGNn228O/vu1bNXh/g4\n1yPuRDTiSW8cu507d1533XWurq4zZ8784YcfUlJSYmNjt23bptVq33777d/97ndD/onDN47d\nX/6Ce+8FgJQUlJYO7bEvXbu2/eXdL//74L+r26tPncpBJpPFBsXeevmtD815yNudt4rTqKDT\nITISXV249lp89tm5WhrNxv8c/M9zO58rbbL9ZXZTuN2cefOj1z2aGHqGu0eISLpG8jh20gt2\nAEpKSh555JGvvvpqYGAAgEKhmDJlyjPPPDNjxozh+LhhCnYWC3x9odVCJsPhw0hPH8JjX6In\ntz35j2/+0dzbfOpGmUyWEJKwcOrCP1z1B47aRaPQqlX4298gl+PYMcTGnqex1WrdVrTt2c+f\n3X98v7BFIVfMy5j30JyH0qLShr1WInIIBrthYbVa6+vrBwcHY2JiFIphvKY8TMHuvvvw8ssA\nMHMmvvlmCA98Kb4s//J3m3/X1tdm3yLkuUVZi+6/+n7mORrNysuRmgqrFevWYePGC33X3qq9\nz+58dkfxDuE7ViaTXZN6zbLpy65OuVrlwfF9iKSNwU7ahiPY6XTw87NNIFZXd3IkBcdr7W39\n1d9/9cOxH4RVmUyWGJq4eOri+3LuY54jEsyYge+/R3Aw6uvh5nYRbyxuLH5u53PvHnzXPrij\nq8L1yoQrr0+7/vqJ13P0HyKJGsnBbmSPruG87BOIzZsnZqpb+/5a9YNqe6pLCE0oW19W8VTF\numvXMdUR2S1fDgBtbfj444t744SICW8te6vq6aqVs1YKgxgPmgZ3l+++79374tfFp/y/lLXv\nr/228ttzjOlNRHRR2GN3fkPeY6fRIDISFguUSnR2YqgfybggO0t2Lnx1YYe2Q1j1cvN6af5L\nd8y4Q4RSiEY8gwFRUWhrQ3Y2vv76Eg9isphyq3O3H9n+ceHHR5uPnrrL39M/JyUnJznnxvQb\nQ1WhQ1AxEQ2nkdxjx2B3fkMe7KZPx759APDAA3j++SE55EWo7aj9zd9/k1+bL6zKZfJbLr/l\nzdvfdJG7nPuNRKPZgw/ihRcAoLQUKSk/92jFjcWfFX22vWh7bnWu2WK2b1fIFVfEX3FN6jXZ\n47IzYzMVcomNSEU0SjDY/VyRkZH9/f0X0vLhhx9+6KGHhvbThzbYFRRg8mQA8PJCb69Dp5ow\nW8zL31r++r7XLVaLsGVS9KRPVn4S5R/luCKIpOn4cSQmwmLBmjV48cUhO2y7tv3z4s+3F23/\novSLnoGeU3f5uPvMSJgxK2lWdlJ2elQ65ysjGjlGcrCTxq+DTz311CuvvJKfnw9g7NixHh4e\nZ2upUo30x83sE4g99ZRDU91buW/d/fbdWoNWWPX39H9t6Wu/Sv+V4yogkrKxYzF7Nr78Eq+/\njg0b4DlE96AGeQctmrpo0dRFRrNxb9Xez4o+21G8o6K5AkCfvm9H8Y4dxTsABHgFzEycmZ2U\nPStpVqo6dWg+m4ickTR67AAYjcbZs2fv3bs3Ly/vsssuc+RHD2GPXW4upk4FgNBQNDefr/XQ\nydiQYb/26iJ3WT1r9Yvzh67PgWh0+PBD/OY3APD667jttmH8oKbupq8rvt5zdM/X5V+f6Dhx\n2t5QVWj2uOxZybNmJs7k0MdEomCP3RBQKpUrVqzYu3ev2IUMjVdfddxn3f767fZUNy1+2od3\nfRii4jRHRBfthhugVqOpCZs2DW+wU/upF2YtXJi1EEBNe83XFV/vqdjzdcXXmh4NgJbelncP\nvfvuoXcBhKpCp8VPm5EwY3r89PTodN6TR0RS+haYPHmyu7u7TCYTu5BLl5Vle2zCYRH/26Pf\nbvlhCwAXmcsXa76YnTzbQR9M5HQUCixbhqeeQm4uCgsdNFtMbFDssunLlk1fBqBcU77n6J49\nFXu+OfpNu7YdQEtvy4eHP/zw8IcAvN28p46dOj1++vSE6VNip3i5eTmiPiIaYSRzKVZEwzdX\n7HAzmo1Ba4J6B3oBbLxp47pr14ldEZG01dcjNhZmM1aswN//LloZFqultKn0u8rv9h3bt7dq\nb0NXw2kNlC7KydGTp8VPuzLxyqljp4b4sJOeaCiN5EuxDHbnJ91gl/NizlflXwGYFD3p8GOH\nxS6HyBnceCM+/RTe3mhsxAh5WKupu2nfsX3fH/t+37F9BXUF9sfe7cJ9w6cnTJ8WP+2yMZdd\nHnO5q8JVlDqJnMZIDnZSuhRLF+WdA+8Iqc5N6fbVH74SuxwiJ7F8OT79FFot/v1vrFghdjUA\nALWfel7GvHkZ8wB0aDv2Hd+3t2rvvmP78k7kGc1GAJoezda8rVvztgLwcvPKjMmcOnbq1Lip\nWXFZwT7BIldPREOKPXbnJ8Ueu3Zte8QDEYPmQQDv3PHOrVNuFbsiIidhsSA+HjU1mDgRR46I\nXc056QZ1h04c2ndsX251bm51bltf20/bJIQkZI3NyorLmho3dULkBD5+QXQh2GNHjpb9QraQ\n6n45/pdMdURDSC7HHXfgj39EURFyc5GVJXZBZ+fp6jkzcebMxJnCalVrVe7x3Nzq3P3H9xc3\nFgszXlS1VlW1Vr31w1sAPJQek8dMvjz28stjL7885vK44DgxqyeiS8Jg54Se2fFMSWMJAJW7\n6uN7LnLSciI6nzvvxPr1MBjwj3+M6GB3moSQhISQhEVTFwHoN/QX1Bfk1+bvO7bvm6PfCJ15\nA8aBfcf27Tu2T2jv6+E7PmL89Pjp0+Kn8aItkVTwUuz5SetSbGVLZfJjyRarRQbZdw99Nz1+\nutgVETmh+fPx3nvw8EBDAwICxK7mZ6tsqTxYc1B4FdYXGkyGn7aJD4m/PPbyzJjMjJiMSVGT\nOJwKjWa8FEuOM+vPs4Rn4u688k6mOqJhsmIF3nsPAwN44w2sWSN2NT9bYmhiYmiiMCTyoGmw\nsL7wYM3BgycOHqw5WNlSKfz+f6z12LHWY/8+8G8ALnKXpLCkjJiMjDEZGTEZ6VHp7kp3kc+B\niACwx+5CSKjH7vYtt7++73UAEf4RDc+dPrQVEQ2h1FSUlWHcOJSXQ8rjpp9Ht6770IlDtv68\nEwebe84wGaLSRZmqTrXnvImRE5UuSseXSuQw7LEjR/iu6rst+7cAcJG7fPPANyJXQ+Ts7rgD\n99+Po0fxzTfIzha7mmHj5+l3VcpVV6VcJazWd9bn1eblncgTfnb2dwIwmo2F9YWF9YX/2vsv\nAG4Kt4mREyePmTw5evJlYy6bEDGBI+cROQyDnZMwmo03/PUGof/1yRuejA+JF7siIie3dCke\nfRQ6Hf7xD2cOdqeJCoiKCoi6adJNwmp1W7U95x2uPdwz0APAYDIcOnHo0IlDQhuli3JCxAR7\nzpsYOZHXbYmGD4Odk7juL9cJX6npUel/vO6PYpdD5Pz8/DBvHt54Ax99hKYmqNViFySGuOC4\nuOC4mzNuBmC1WitbKvNq8/Jr8/Nr8wvrC4X5DI1m4+G6w4frbJPfKOSKFHXKZWMumxw9efKY\nyWmRaXwOg2gIMdg5g3cOvPNl2ZcA3BRuXz3ASSaIHGTFCrzxBoxGbNmCdaN+KmaZTDYubNy4\nsHG/m/I7ABar5Vjrsfza/MN1hw/XHj5cd7hb1w3AZDEVNRQVNRQJNwTLZfLE0MRJ0ZNsr6hJ\ngd6BIp8JkZTx4YnzG+EPT3TrusMfCNcb9QC23L5lydQlYldENIpMmoTCQqjVOH4c7rzAeE5N\n3U1CZ15+bf7BmoOtfa1nbBbuG37ZmMtS1alCx15KeIrMiR9OIWniwxM0jK58/koh1c0ZP4ep\njsjB7r8fixejqQmbN2PVKrGrGdnUfmq1n3pu2lxhta6zLr82v6CuoKCuoLC+sKHL9iC/pkez\nvWj79qLtwmqgd2B6VHp6VHpaZFp6dHpSWBIfuSU6B/bYnd9I7rF75vNn1n24DoDKQ9X2Yhsf\nPSNyMLMZKSmorER4OKqr2Wl36dr62grqCgrqC4Sod6z1mDAk52ncFG6p6tT06PS0yLT0qPS0\nqDRfD1/HV0ujHHvsaFj06nsf+/gxADKZ7LPVnzHVETmeiwsefhi33w6NBq+/jrvuErsgyQr2\nCb469eqrU68WVvv0fUcajhTWFQpRr7SpdNA0CMBgMpz6KAaAuOA4e8hLi0qLCYwRpX6iEYLB\nTsIOVB8QpvG+Ie0GTjJBJJbFi/HMM6iqwjPPYNkyuPI3rKHg4+4zPX66/ZvNaDaWNZUdaThS\nWF94pP5IYX2hMIQegOq26uq26o8KPhJWfT1806LSJkZOnBg5MT0qPVWd6unqKc45EImBwU7C\n2rXtwkKKOkXcSohGMxcXrF2LO+9EfT22bMHvfy92Qc5I6aIUOuQWT10sbGnqbirTlJU2lQpP\nY1RoKoRLtz0DPd9Vfvdd5Xf29wpPY9gfyODTGOTcGOwkrEvXJSz4uvMWEyIxLVmCp59GTQ02\nbsRtt7HTzhGERzFyknOE1d6B3qLGoqKGoiP1R47UHylpKuk39Au7TnsaI8ArIC0qbULEhAkR\nE9Ki0lLCUziQHjkTBjsJEwaFAuDn5SduJUSjnFKJhx7CihWoq8Pbb+P228UuaPRReahOvXQr\njKJ3pP7IkYYjR+qPFDUU1XXWCbs6+zv3VOzZU7FHWJXL5MJdehMibVEvNihWLpOLcxpEPxuD\nnYQJU00ACPAMELcSIrr9djzzDGprsXEjFi+Ggl+uohLGPU4MTZyXMU/Y0qXrEhJecWPxkfoj\npU2lukEd/i8CHms99sHhD4SW3m7eqepU4S698RHjJ0ZODPDidyxJBr97JKxHZwt2/p7+4lZC\nREolHnwQK1eiuhrvvIMlHFNyhPH39P/FuF/8YtwvhFWL1XK87fiR+iPFjcXFDcVFDUXV7dXC\n+F9ag/ZAzYEDNQfs743wixgfMT4tKm28evyEyAkp4SkchYBGLAY7CevT9wkLQd5B4lZCRADu\nuAN/+hMaGrBhA373O3bajWhymTwhJCEhJOG3l/1W2KI1aEsaS4TpzoS0Z7+PubG7sbG78YvS\nL4RVhVwxLmzc+IjxaZFp4yPGj48YHxMYwwcyaITgF4+E9RlswS7Am5cJiMTn5oYHH8S99+LY\nMbz7LhYuFLsguhjebt5ZcVlZcVn2LfWd9cWNxcWNxUUNRSWNJRXNFcJYeiaLqbSptLSp9L+H\n/iu09HH3SVWnToiYIOS8CRETgn2CxTkNGvUY7CRMa9AKCxx4nWiE+P3v8eyzaGrC+vVYsAAu\nLmIXRD9DVEBUVEDUtROuFVZNFlNdR50wwIow0kq5ply4etun78utzs2tzrW/19/TP0WdYp/x\nNj0q3dttxM1dRE6JwU7CdAadsOCh9BC3EiISuLvjgQdw//2oqsJ772HBArELoqGjkCviguPi\nguPs091267pLmkpKGkuKG4qFBfuwyV26rn3H9u07tk9YlclksUGxqerU8RHjx6vHp6pTk8OT\neaMeDQcGOwnTGXUAZJDx24Fo5LjrLjz/PDQaPPUU5s+HnONmOC8/T79Tx1gB0NjdWNpYWtRQ\nVNpUWtxYXNZUNmAcAGC1WoUZMrYd2Sa0VMgVCaEJtpwXkTohYsLY4LEucvbx0s/FYCdhA4MD\nAHjHLtGI4u6ONWuwdi3Ky/HBB5g3T+yCyIEi/CIi/CLsM96aLebq9uqihqLSxtKSppLSptLK\n5kqTxQTAZDGVa8rLNeVbsVVo7K50Tw5PFnr1UtWpqepUPpNBl4DBTsL0Rj0A/oZHNNLcfTde\neAGtrXjySfzmN+y0G71c5C7Cs7e/mfwbYcugabCiuULozxPSXk17jXCjnt6oL6grKKgrsL/d\n2807OTxZGGBFSHuR/pHinAlJB4OdhBlMBgAKF/5PJBpZvLywZg0eeQSlpfj4Y/z612IXRCOG\nq8JVGPp4AWw3YPYb+ss0ZcUNxWWaMiHtNXY3Cru0Bu2hE4cOnThkf7ufp58Q8oRJb1PUKRF+\nESKcBo1gzAQSJjx4r3RRil0IEZ1u1Sq8+CLa2vDUU7jpJvB6Gp2Nl5tXZkxmZkymfYvwTIbQ\nn1fWVFbSWNLa12rftf/4/v3H99sb+3n6CRdwk8OTx6vHJ4UnRQdEO/ocaCSRRrBbsGCBXq+/\nkJa33HLL/Pnzh7ueEcIW7OQMdkQjjpcX7r0Xjz6KwkJ8+iluvFHsgkg6fvpMRru23d6lJ0Q9\n++DJ3bruH47/8MPxH+yNVR6q5LDk1IjU5LBkoW+PUW9UkUaw8/Dw2L59u1arPW/L9PR0B9Qz\nQgh34Lop3MQuhIjOQOi06+zEk0/ihhvYaUeXLsg7KDspOzsp275F06MpbSotayor05SVNZWV\nNpXaR1rpHeg9bUo0lYfKdgE3PCVVnZoakcoLuE5MGsHutddee+KJJ7Kzs6urq3fv3n2O9Obp\n6enIwsRltpgBuCkZ7IhGIpUK996Lxx9HQQF27MB114ldEDmRcN/wcN/wnOQc+5aW3hZhzOSS\nxpJyTXlpU2m7tl3Y1TvQe9r4yX6efsKDt8IQyqnq1HDfcEefAw0PaQQ7ANHR0WvWrFm1apWf\nn19gYKDY5YjPZDFZrBYA7kp3sWshojO791689BK6uvD447j2Wnba0TAKVYWGqkJnJc2yb2nr\naytpLCnTlNl/2nv1unXdp46fjP+bKiMlPMV+x15UQJSjz4GGgmSCHYCsrKzzNxo1+vS2iWI5\n7QTRiOXri1WrsH498vPxxReYM0fsgmg0CfYJPu0CbnNPszDLrf3VresWdp02VQYAlYcqKSxJ\nCHnCT46rJwlSCnZpaWm5ublJSUliFzIiaPW2Ow49XUfR1WciyVmzBn/5C7q78eSTDHYksjDf\nsDDfsNnJs+1bGrsbhVv0yjXlwh17p96rd7Dm4MGag/bGnq6eSWFJyeHJKeqUpLCkFHXK2OCx\nHJlhpJFSsFMqlVOmTBG7ipHC3mPn5e4lbiVEdA5+frjnHmzciNxcfPklrrpK7IKITiFMlXFV\nysk/l809zWWaMuEuPeFnW1+bsEs3qDtcd/hw3WF7Y6WLMiE0ITksOSk8KVWdmhSWlBSexOtI\n4pJSsKNTaQ22HjtvV29xKyGicxM67fr6sG4dsrOh4PcujWBCr96p9+q1a9tLm0orNBVC4CvX\nlDd0NQi7jGZjWVNZWVOZvbFcJo8JihH684QruUlhSX6efo4+jVFMYl8wFRUVmzdvLigoaGlp\n0el0gYGBERERcXFxixcvnjRpktjVOZS9x87H3UfcSojo3AIDsWYN1q9HXh6efhr/7/+JXRDR\nxQjyDpqZOHNm4kz7lt6B3ormijJNmT3t1bTXCAM1WKyW6rbq6rbqHcU7l1vXVgAAIABJREFU\n7O3Vfurk8GR7zktRp4SqQkU4k9FBMsGuu7t76dKln3zyiTCnnlwu9/Hxqaury8/PB/DSSy/N\nnDnz448/9vMbLb8WdOpst0Go3FXiVkJE57VuHT7+GEVFeOopzJmDyy8XuyCin0Hlobo89vLL\nY0/+OTaYDBWaiorminJNuRD4jrYcFUbRB9DU3dTU3fRV+Vf29gFeAfZePeHnmMAxchmnVR4C\n0gh2ZrN5/vz5u3btWrBgwaJFi6ZMmeLv7y+TyaxWa3d3d35+/tatWzdv3jx37tw9e/YoRsd1\njg5th7Cg8mSwIxrp3Nzw738jIwN6PZYsweHD8OBtSORE3BRuaVFpaVFp9i0mi6mmvaa0sVTo\n2yvXlFdoKuw3EXX2d542N5qH0iMpPMme85LDkxNCElwVro4+E+mTRgbKy8vbtWvXH//4xw0b\nNpy6XSaT+fv75+Tk5OTkTJw4ceXKlQUFBZmZmWc7jjPp7rc9o+7nMVo6KYkkLTUVjz+ORx5B\nRQUefhgvvyx2QUTDSSFXJIQkJIQknLqxtqO2ormirKnM3rdn76QYMA4U1BUU1BWceoS44LhU\ndWpSeFJyWHJyeHJSeJK3G28rPw9pBLsDBw4AWLJkyTnaLF68ePXq1bm5uaMl2A0w2BFJzNq1\n2LkT336Lv/4Vc+bgl78UuyAixxoTOGZM4JhrUq+xb2nraxMu3ZZrysubyys0FXWddcIuk8VU\n2VJZ2VKJk2EP0QHRp+a8VHVqkHeQg89ihJNGsFOr1QDq6uoSEhLO1qapqclisQgtRwN7sPP3\n8he3EiK6QHI5Xn8daWno68Odd6KoCAEBYtdEJKpgn+CZPj96MkNr0J6a80qbSqvbqoW50QHU\nddbVddbtKt1lbx/oHZgSniKMtCI8ojHKb9eTRrCbMWOGh4fHypUrt23bFh8f/9MGGo3mtttu\nUygU06ZNc3x5ojg5jp0bx7EjkozYWLz4Iu68E42NWLUK77wjdkFEI4y3m3dGTEZGTIZ9y6Bp\nsKq1qlxTbr+MW6GpGDAOCHs7tB17q/burdprb++udE8KSxoXNk64V29c2LhxYeNGz+h60gh2\noaGhW7ZsmT9/fmJi4tSpU6dMmRIUFKRSqbRabUdHR35+/t69e81m85tvvhkWFiZ2sQ7SO9Ar\nLHDmCSJpueMO7NyJDz7Av/+NuXNxyy1iF0Q0srkqXFPVqanqVPsWi9Vy6u16wk/7nBl6o76w\nvrCwvtDeXi6TjwkcMy5sXE5yzv1X3e/cE6NJI9gBuPnmm2NjY5999tmPPvpo//79p+5ycXG5\n9tprV69enZOTI1Z5jmefUmz0/BZC5DT+/nd8/z1aWnDXXZg2DVGcbJ3oYshl8tig2Nig2F+O\nP3mnaltfm9Crd7T5aJmm7Gjz0dqOWovVAsBitdS019S01+ws2TkradakaGce+FYywQ5AZmbm\n+++/397eXlxc3Nraqtfrg4KCwsPDY2JiAkbfjSraQc4VSyRVwcHYtAm/+hW6u7FsGb74Ak7d\ng0DkCME+wcE+wVcmXmnfMmAcONp89GjzUXvgU/upk8KdfMZ5KQU7QVBQUHZ2tthViK/f0C8s\neLox2BFJz403YulSvP46vvwS//u/uOcesQsicjoeSo/0qPT0qHSxC3EoaT82snnz5kOHDold\nhTgGBm33jbLHjkii/vIXCA+DrV2Lo0fFroaInIK0g93atWt37Nhx/nbOyP5AEO+xI5Iob29s\n2QIXF+h0+N3vYDSKXRARSZ/0LsUOrfr6+quvvnpwcPAcbXp7ewEIc9SOHHqjXljwcGWwI5Kq\nadOwZg1eeAH5+Xj6aTz+uNgFEZHEjfZgFxYW9sgjj+j1+nO0+e677955552R9nS0wWQA4CJz\nUchH+/9EIknbsAG7dqGoCBs2YM4cTJkidkFEJGXnzwRtbW3PPfdcSUmJyWT66d7FixcvWrRo\nGApzEKVSuXjx4nO3sVqt74y8UUQHTf+fvfuOq7Ls/wD+OYcp4CBwi+IAR5oIIoj6iFsrHKmA\nAxULB7mycOfAMCekiOZEcCJuS7OUwj1SyYErKhO3qCGbA+f3x83viIocVM59n/F5/3XGTXye\nV8/j8/V7fa/rygFgbMyqjki3mZlh0yY0b46sLAwZgrNnYcG5WSJ6W2rKguzs7JYtWyYlJcnl\ncmtr61e7Vp07d9ZYNvXWrFlTv359CQNIJVuRLZzNY2pkKnUWInpX77+PmTMxaRKuXsWkSViy\nROpARKSz1BR2e/fuTUpKGjx4cEREhKWl1l1d9cknn0gdQRqq+8RMjVnYEemDoCDs34/4eCxd\nim7d0K2b+h8hInqVml2x169fBxAaGqpVVd2VK1cGDRpUu3btcuXKBQcHZ2Zmjh49+vLly1Ln\nEk9adsHpxOYm5tImIaJSIZdj7VqULQulEp99hgcPpA5ERLpJTWGXlpYmk8mMjIzESVMS+/fv\nb9q06fr16zMzM7Ozs5VKpVKpjIiIcHV13bt3r9TpRML7xIj0T506+O47ALhzB35+yM+XOhAR\n6SA1hV3nzp2VSuW6detECaNeRkaGn5+fjY3Nb7/9du/evZo1awKwsLD46aefrK2tP/vss7S0\nNKkzikG1FMvCjkifDB0KYTfazz9j7lyp0xCRDlJT2Hl6ei5YsGDSpElffvnlmTNn7t+/n/Ki\nzMxMcYIKfvzxx5SUlMWLF7dt27bw5507d167du2DBw8OHjwoZh6pqJZiLc20aImciN7d8uVo\n2BAApk9HXJzUaYhI16gp7ObNmxcSEpKbmxsaGtqiRYsqVarYvmj+/PniBBX8888/ANq0afPq\nV82bNweQlJQkZh6psLAj0leWlti6FRYWyMvDgAG4d0/qQESkU9Tsim3UqFGfPn2KecDZ2blU\n86hhb28PIDk5uWrVqi99dfXqVQDVq1cXM49UVDN2VmZW0iYholLXuDHCwjB8OO7dg78/fvwR\nct2+/ZGIxKOmsPPy8vLy8hInSkm4u7sbGxt//fXXe/fuNTExUX2em5sbHBwsk8lcXV0ljCea\nZ9kFM3ZlzcpKm4SINGHYMBw5gg0b8NNPmD8fkyZJHYiIdMQb/DVQqVTevn375s2b+dJt1rKz\ns/vmm28OHDjQrFmzuXPnPnv27OrVqytXrmzduvXPP/8cFBRUt25dqbKJSdWxK1emnLRJiEhD\nli9HgwYA8PXXOHJE6jREpCNKVNgdO3asQ4cOFhYWNWrUsLe3t7CwaNeu3YkTJzQdrkgTJkxY\ntmzZw4cPJ0+efP/+/S1btgwfPjwxMTE4OPibb76RJJL4VDN25cxZ2BHpJysrbN2KMmWgUKB/\nfzx6JHUgItIF6m8aXb9+/aBBg2QyWatWrRwdHeVy+Y0bNw4fPuzh4bFp06Z+/fqJkLIwmUw2\ncuTIwYMHX7hw4fr16zk5OfXq1WvatKm1tbXISST0/LgTUx53QqS3mjRBaChGjkRyMgYNwg8/\ncNiOiNRQU9g9ePAgMDDQzs5u//7977//vurzK1eudO3adcSIEZ06dbK1tdVwyCJYWFi4u7u7\nu7uL/6u1wdOMp8ILC1PeFk6kz0aMwNGj2LgR+/djwQJMnCh1ICLSbmr+9nfq1Km0tLRly5YV\nruoANGzY8Pvvv09NTT158qQm41HRnmYWFHbs2BHpve+/Lxi2mzYNR49KnYaItJuawu7atWsA\nXFxcXv1K+FB4gET2LLNgKZYdOyK9V3jYrl8/DtsRUXHUFHZ16tQBkJiY+OpXwofCAyQy1XEn\nLOyIDEGTJli0CEDBsJ1SKXUgItJWambs3NzczMzMRo8efejQocJnAt+7d2/UqFFmZmZubm4a\nTggA/fr1y8rKKsmTvr6+Pj4+ms4jOW6eIDI0I0fi2LGCYbuFCxEUJHUgItJKagq76tWrL1y4\ncPTo0XXq1OnevbujoyOAGzdu7N69OysrKzw8vFq1aiKkLFOmzA8//JCWlqb2SScnJxHySC49\nO114wY4dkeH4/nv8/juuXcOUKfDwQKtWUgciIu2j/riTUaNGVa9eferUqVu3blV9WL9+/ZCQ\nkN69e2sy23Nr166dOXNmu3bt/vrrr4MHDxZTvVlYGEShk5GdIbwoY8KOHZGhEIbt3N2RmQlf\nX5w/DynOJCAiraa+sAPQq1evXr16paSkJCUlKZXKunXrin/ESc2aNb/44ovRo0dXqFDBxsZG\n5N+ubTJyCwo7duyIDMoHH2DhQnz+OZKT4e+PPXsgk0mdiYi0yRscdmljY9OiRQs3NzdJDq4D\nYLCn1r1EqVRm5RZMHHLGjsjQBAaib18A+OEHzJ8vdRoi0jJFFHazZs2SyWQBAQGq18WYNWuW\naFmbNm168uTJBsKBTgYsMzczX1lwXS87dkQGaO3agpPtpk7FoUNSpyEibVLEUmyDBg169uwp\nzLE1atSoT58+xfx8o0aNNBXtFSYmJuJswtVyqotiwRk7IoOkGrbLyMCAATh3DqJsYyMiHVBE\nYefj46M6MeTjjz/u2LHj665hTUlJsbKy0mA6KorqrBOwY0dkqJo0QXg4Pv0U9+9jwAAcPAgj\nI6kzEZEWUDNjN3/+fGdn5yK/UiqVlStXXrVqlQZSUXHSsp537MxNzCVMQkQSGjoU/v4A8Ntv\nmDFD6jREpB2K3hX7119/nThxAsCFCxfS0tI2btz46jN//vlnXl6eZtNRUVRLsaZGpkZy/iWd\nyHAtW4aEBJw/jzlz4OqKHj2kDkREUiu6sDty5MiQIUNUbwcOHFj0Dxsbd+7cWROxqBiqpVgz\nEzNpkxCRtMzNERMDV1f89x/8/XHuHOztpc5ERJIqurBr3779rl27AGzZsiUuLm7lypVFPtaw\nYUPhLgoSk6pjx7NOiMjBAatWwdsbT57AxwdHjsDUVOpMRCSdogs7Ozs7Ozs7AKmpqUZGRj3Y\n39cmzws7boklIqBvX4wejfBwnD6NoCAsXix1ICKSjprNE35+fhs2bCjm27i4uNKORGqoNk9Y\nmlpKm4SItMSiRfDwAIAlS1DUUDQRGYoSXSkWFxd3+fLl/Pz8wh/evn17w4YNLi4u7du310w2\nKppqxs7SjIUdEQGAiQm2bIGzMx49wogRcHGBwR/lTmSg1Bd2Q4cOjYyMLPKrihUrdunSpbQj\nkRrpOenCCytzHiJIRAXs7BAVBS8vpKXB2xsnT8KCx1wSGR41S7EXL16MjIz09PSMi4ubNGkS\ngN27dx8/fjwsLMzMzGzHjh0NGzYUJSc9p+rYccaOiAr78ENMmgQAFy9i2DCp0xCRFNR07E6d\nOgVg0aJFzs7Obdu2DQ8Pz8jIaNmyZcuWLVNTU4cPH37u3DkzMx66ISrV5gleO0FEL5k9G2fO\n4JdfsHEjOnQoOMGYiAyHmo5dSkoKAHt7ewByudzBweH69evCVwEBAYmJicI5xiQm1eYJHndC\nRC+Ry7F+fcHVsYGBOH9e6kBEJC41hZ1Q0t29e1d4W7t27QsXLgivra2t5XJ5QkKCJuNREVRL\nsezYEdGrKlfGpk0wNkZWFry98d9/UgciIhGpKeycnZ3lcvnUqVOF1p2Tk9Mvv/wivI6Pj8/P\nzy9fvrwYMakQLsUSUfHatkVwMAD8+ScCAqROQ0QiUlPYOTg4BAYG7t69293dHYCvr69CoXBz\ncxsyZIifn5+5uXmHDh1EyUnP8YBiIlJr0iR89BEAxMbyyGIiA6KmsAMQFhYWEREhXD7h6Oi4\nZs2ajIyMqKionJycyMjImjVraj4kvSA1K1V4wRk7InodmQzR0ahVCwCCgsBxaCIDof4cO2Nj\n48DAQNVbX19fX1/fW7duVatWzcjISJPZqGiqzRNciiWiYrz3HmJj0aYNsrPh7Y1z51CxotSZ\niEjDiujY5eXlZatTqVIlhUKRnZ2dl5cnfmgD93xXLJdiiahYrq4IDQWA5GT4+oJ/YBPpvSIK\nu2+++ca8xL755hvxQxuyfGV+Zm6m8JodOyJSKzAQgwYBQFwcZs+WOg0RaVgRS7EffPDBwIED\nS/jzH3zwQanmITXSs9PzlQWX9nLGjohKYtky/P47EhMxezbc3dG1q9SBiEhjiijsevXq1atX\nL/GjUEmotsSCHTsiKhlLS+zcCVdXpKZiwACcPQt7e6kzEZFmqN8VS1qlcGHHGTsiKiFHR6xc\nCQCPH8PHBzk5UgciIs1Qsyt2586dO3bsKOaBTz75hO09MamunQA7dkT0Jnx8cPgwli3D6dMI\nCuLhdkT6SU1hd+HChQ0bNrzu21q1arVo0aK0I1FxVFtiwcKOiN7Qd98hIQHHj2PJEri6osTT\n1ESkM9QsxU6bNi3rRRkZGdevX58zZ06ZMmUcHR2HDx8uTlASvLAUy80TRPQmTEywZQtsbQFg\n5EhcuSJ1ICIqbWoKOyMjI7MXlSlTxsHBYfLkyUuXLv3ll1+WLl0qTlAScPMEEb0LOztERUEu\nR1oavL2Rni51ICIqVW+/ecLb21sul1++fLkU05BahWfsuHmCiN7Chx9i8mQAuHQJAQFSpyGi\nUvX2hZ1CocjPz69bt24ppiG1XujYmbFjR0RvIzgYnTsDwObNBbtliUg/vGVh999//40dOxZA\nw4YNSzUPqaHaPCGTycyNzaUNQ0Q6Si7H+vWoXh0AxozB2bNSByKiUqKmsPv222/LvsLKysra\n2jo6OtrR0fHjjz8WJ6hAoVAkJiampKS8+lVOTs7t27efPXv26lf6RNWxMzc2l8lk0oYhIt1V\nqRK2bYOpKbKz0bs3ivpjlYh0j5rjTuzt7T09PV/93MjIqFGjRl9++aWJiYlGcr1CoVBMnz79\nu+++y8zMBNCjR48VK1ZUrlxZ9cD58+fd3d1nzpw5Y8YMcSJJQlXYcR2WiN6RuzvmzMFXX+Hm\nTQwdil27wL8tEuk6NYVdv379+vXrJ06U4gUGBq5atapmzZoeHh6///777t27r1y5curUqQoV\nKkgdTVSqzRPcOUFE7278eBw7hp07sWcP5s/HxIlSByKid1PSGbtnz54dO3YsOjp69erV8fHx\nT58+1Wisl1y9enX16tXt27e/cuXK5s2bb9y4ERoaev369fHjx4sZQxuoZux41gkRvTuZDJGR\nqFcPAKZNQ3y81IGI6N2o6dgBUCgUc+fODQ0NffLkierDsmXLjh8/fsqUKaamppqMV+D06dNK\npTIkJMTCoqCa+eKLLy5duhQZGRkYGNi8eXMRMmiJ50uxLOyIqDSUL48dO+DujowM+Pjg3DlU\nqyZ1JiJ6W+o7duPHj//6669NTU2nTJmyYcOGzZs3T58+3crKatasWV9++aUIEQE8evQIgJ2d\nXeEP58+fX758+YkGtnLwfCmW104QUSlp0gRLlgDA/fvo3x8KhdSBiOhtqSnsEhMTw8PDXV1d\nk5KSQkJCBgwY4OvrO2vWrD///NPNzW3p0qWJiYkipGzatCmAY8eOFf7QxsYmODg4Li5u06ZN\nImTQEuzYEZEmfPophg4FgPh4TJsmdRoieltqCruTJ08CWLBggaWlZeHPLSwsFixYoHpA01xc\nXMqUKTNmzJjz588X/vzzzz93d3cfPnz40aNHRYihDVSFHTdPEFHpioiAszMAzJ+PnTulTkNE\nb0VNYffnn38CqFWr1qtf2dvbA1CI0rKvUKHCli1bHj165OzsXK9evX379gmfy+XyjRs32tjY\neHp6Dhs2TIQkklMtxbJjR0Sly9wcMTEoXx5KJYYOxV9/SR2IiN6cmsKuWrVqAH7++edXvzpw\n4AAANzc3TcR6Vffu3ffv39+5c+f09HRh5E5Qp06dY8eO9e/f/+rVq+IkkZZqVyxn7Iio1NWr\nh+hoyGR4+hSffILMTKkDEdEbUlPY+fv7N2rUaNy4cevWrVM15xQKRVRU1NixY8eOHStMv4mj\nU6dOBw4cuHv37qBBgwp/Xr169ejo6EePHp07d65///6i5RFfXn5eZm7BH7Ts2BGRJnTvDuEg\nqT/+wLhxUqchojek5riTuLi4hg0bJiYm+vv7jx07tk6dOgD++uuv1NRUAGfPnm3Xrp3q4fHj\nx3t5eWk0rkChUDx58iQjI8PGxsbKykr4sGzZss2aNRPht0tINWAHztgRkcbMnYvTp3HkCFau\nRMuWGDJE6kBEVGJqCrurV6/Gx8fb2toKb5OTkwGYmpoKn7y0+vn48WPNhCyQnZ0dFRW1YsWK\nS5cu5eTkCB+WK1euTp06gwcPHjx4sLW1tUYDSE41YAd27IhIY4yNsXUrnJ1x9y5GjoSTE5yc\npM5ERCWjprALCgoKCgoSJ0rxLl++3LFjx3v37pmYmDRo0MDGxqZ8+fKpqakpKSlXrlz54osv\ngoOD4+PjmzRpInVSDXqhY8cZOyLSmCpVsHEjOnVCVha8vXHmDMqXlzoTEZVASa8UA6BUKm/f\nvn3z5s38/HzNBSpSenq6l5dXamrqihUrHj58eOHChV9//XXXrl1xcXF//PHHo0ePhKPsunTp\nkpaWpvafprtUOyfApVgi0rB27TBzJgDcuIHBg6FUSpyHiEqiRIXdsWPHOnToYGFhUaNGDXt7\newsLi3bt2p04cULT4VSOHz/+999/r1ixYtiwYeVf+WujlZVVv379YmNj7969K865elLhUiwR\niWnqVPToAQC7dxdcTUFEWk59Ybd+/frWrVv/+uuvzZs3Hzp06Geffebu7n748GEPD4/NmzeL\nEBHApUuXALRu3bqYZ1q3bi2Xy4Un9VXhpVgWdkSkaTIZIiNRuzYABAXBYE6CJ9JhambsHjx4\nEBgYaGdnt3///vfff1/1+ZUrV7p27TpixIhOnTqptlZoTuPGjQEcO3ZMOBW5SCdPnszPzxee\n1FecsSMikVlbIyYGbdogOxv9+uHcOVSsKHUmIno9NR27U6dOpaWlLVu2rHBVB6Bhw4bff/99\namqqOEufHh4e9vb2w4cPX7t27bNnz176NjMzMzY2tnfv3pUrVxbtwGRJsGNHROJzdUVoKAAk\nJ2PgQIg+ZU1Eb0BNYXft2jUALi4ur34lfCg8oGmWlpZ79uyxsLD49NNPK1as6Ozs3Llz5z59\n+nTt2tXV1dXW1tbb21uhUBw4cKBs2bIi5JFK4Rk7bp4gItEEBqJfPwD4+WfMni11GiJ6PTVL\nscKJxImJiVWrVn3pq8TERNUDImjSpMnNmzfXrFmzatWqixcvqq7BKFu2rKOjo5+f3+DBg21s\nbMQJI5XCu2ItzNixIyLxrFyJP/5AYiKCg+HhgU6dpA5EREVRU9i5ubmZmZmNHj360KFDhWu7\ne/fujRo1yszMTMylzzJlyowaNWrUqFG5ubmPHz/OysqytbW1tLQULYDkePMEEUnFygo7d8LV\nFamp8PXFuXOoVUvqTET0CjWFXfXq1RcuXDh69Og6dep0797d0dERwI0bN3bv3p2VlRUeHl6t\nWjVRcr7AxMSkcuXK4v9eyXHGjogk5OiIlSvh64vHj+Hri/h4mJpKnYmIXqSmsAMwatSo6tWr\nT506devWraoP69evHxIS0rt3b01mU2/w4MEff/xx3759pY0hGu6KJSJp+fggPh7Ll+PkSUye\njEWLpA5ERC9SX9gB6NWrV69evVJSUpKSkpRKZd26dUU44qQk9uzZ8+5Dfnfu3MnKyirmgUeP\nHr3jrygtPKCYiCQXFoYzZ/D77wgLg4cHpP4LPhG9oESFHYBnz55dvXo1KSkpJycnKyuradOm\nFSpU0GgycSQlJdWrV68kTyq14D4dXilGRJIzM8P27XB2RkoK/P3x/vto0EDqTET0/9QXdgqF\nYu7cuaGhoU+ePFF9WLZs2fHjx0+ZMsVUxycs6tat+++//+bm5hbzzObNm6dNmyaTyURL9Tqq\npVi5TG5mbCZtGCIyWDVrIioKXl549gze3jh5EhZcQiDSDuoLu/Hjx4eHh1euXHnKlCmNGjUy\nMjK6cuXKqlWrZs2alZKSEh4eLkJKjbKzsyv+AS1Zd0ahpdgypmW0odAkIoP10UeYMAHz5uHi\nRYwdi1WrpA5ERADUFnaJiYnh4eGurq6//vpr4YNFJk6c2L59+6VLl44cObJRo0YaDvla165d\nM8zjTjhgR0SSCwnB2bM4eBCrV8PDA/7+UgciIrU3Twg3hi1YsOCl+snCwmLBggWqByRx8+bN\n5OTklJQUqQKIT1XYccCOiCRnZIQNGyCceRUYiPPnpQ5ERGoLuz///BNAraKOobS3twegugFC\nTKtXr65Zs6a9vb2Li0tkZGR6enrjxo0jIyPFTyIy1VIsO3ZEpA0qV8amTTA2RlYWfHzw339S\nByIyeGoKO+H84Z9//vnVrw4cOABAzJsnBCEhIQEBARkZGT4+PuXLlwdgbGx87969oUOHztbr\nKwxz83JzFDnCax5iR0Raom1bzJoFADduICBA6jREBk9NYefv79+oUaNx48atW7dO1ZxTKBRR\nUVFjx44dO3Zs06ZNNR/yuTt37gQHB7u6ul6/fn3Lli0VK1YEYGZmdvHixTZt2oSEhCQnJ4uZ\nR0w8xI6ItNPkyejZEwBiY7FkidRpiAybmsIuLi6uYcOGmZmZ/v7+NjY2zZo1a9asmY2NzZAh\nQzIyMs6ePduukL1792o67s8//5yTk7Nw4cL33nuv8OdVq1ZdvHhxdnb24cOHNZ1BKrwoloi0\nk0yGtWtRuzYAfPUVjh2TOhCRAVOzK/bq1avx8fGq8z6EfpipqanwydWrVws//PjxY82EfE64\nBEK4svYl1atXB3Dnzh1NZ5AKO3ZEpLWsrRETgzZtkJ2Nfv1w7hy05pwoIsOiprALCgoKCgoS\nJ0pJNG7cGMC5c+c+/PDDl746deoUgAb6ewI6L4olIm3m6opFizBqFG7dgp8ffvwRcjVrQkRU\n+nTsf3bu7u62trbjxo1LSkoq/Pnt27fHjBlTrlw5d3d3qbJpWuH7xNixIyIt9Pnn8PUFgJ9+\nQkiI1GmIDJKOFXYVKlRYv359UlJS48aNu3bt+uDBg59++ql///63s+f2AAAgAElEQVQNGjT4\n559/li1bpj23RJS6wh07FnZEpJ1WrSq4OnbWLBw6JHUaIsOjY4UdgK5du/7xxx8dO3Y8fPhw\namrqyZMnY2NjmzZtevjw4QEDBkidToMKz9hxKZaItJOVFWJjYWGBvDz074/bt6UORGRg1N8V\nq4UaN268d+9epVJ569atnJwce3t7Y2Od/A/yRtixIyKd0LgxVq3CgAF48AB9+yI+HiYmUmci\nMhi617FTkclkNWvWrFevniFUdXhxxo7HnRCRNuvfH0OHAsCJE5g+Xeo0RIZEhws7Q8NdsUSk\nQyIi0KwZAMybh127pE5DZDDUFHb37t0r5tu8vLwbN26Uah56LS7FEpEOMTfH1q0oXx5KJYYO\nxd9/Sx2IyDCoKexWrFjRo0ePIsu78+fPt2jRYtOmTZoJRi97YfMEl2KJSOvVq4eoKMhkePIE\nPj7IzpY6EJEBUFPY1a9ff9++fY0aNdqwYYPqw8zMzIkTJ7q6uiYmJn7wwQcaTggANWrUsC6Z\nefPmiZBHEuzYEZHO6dEDo0cDwJkz+OorqdMQGQA1hZ2vr+/Zs2cdHBz8/Py6d+9+9+7dgwcP\nNm7ceP78+e3atbt48WKvXr1ESDl79uy6des+ffr06dOnNjY2NV6vXLlyIuSRxAubJzhjR0Q6\nYuFCeHgAwNKl2LhR6jRE+k79ftIPPvjgxIkTERERU6dOdXBwSE9Pr1Sp0oYNG8Q8NM7f33/g\nwIEdOnQ4cuRITEyMi4uLaL9aezzL5l2xRKR7TEywZQucnfHoEUaMgLMzGjaUOhOR/irRrli5\nXF61alVLS8v09HQAdevWFb+0MjExGTFihMi/VKvwSjEi0lF2doiKglyOtDR4eyMjQ+pARPpL\nfWF369YtLy+vvn37litX7vDhw+vXr7969aqTk1NwcHBOTo4IEVWcnZ3Nzc1lMpmYv1R7vHDc\nCTdPEJFO+fBDTJwIAJcuYdgwqdMQ6S81hd2PP/7YqFGjn376afLkyX/88UebNm0GDhyYmJjY\nrVu3GTNmODk5nT9/XpygABo0aJCZmens7Czab9QqhXfFsmNHRDrnm2/QsSMAbNyIyEip0xDp\nKTWF3e+//+7g4HDmzJk5c+aYm5sLH1apUmXnzp2bNm168ODBnj17NB+SAB5QTEQ6Ti7Hhg2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2np6eCxYsmDRp0r///uvr61uzZs2Xtp1a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\nVAebwz12AAD8pVmz5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}, "metadata": { "image/png": { "height": 420, "width": 420 } }, "output_type": "display_data" } ], "source": [ "## este bloco calcula soluções para muitos K's, deve levar algum tempo\n", "KK = seq(from = 0.5, to=25, by=0.5)\n", "rminmax = matrix(NA, ncol=2, nrow=length(KK))\n", "cminmax = matrix(NA, ncol=2, nrow=length(KK))\n", "\n", "## Faça um loop sobre todos os valores de K e obtenha os tamanhos mínimos e máximos da população\n", "\n", "for(i in 1:length(KK)){\n", " parmsi = c(r=1, K=KK[i], a=1, h=0.1, e=0.1, d=0.1) \n", " y0 = c(R=1,C=1)\n", " out3 = ode(y=y0, times = seq(from = 1, to = 1000, by=0.5), func = RM, parms = parmsi)\n", " rminmax[i,] = range(out3[(nrow(out3)-500):nrow(out3),2])\n", " cminmax[i,] = range(out3[(nrow(out3)-500):nrow(out3),3])\n", "}\n", " plot(x=KK, y=rminmax[,1], type=\"l\", lwd=2, col=\"blue\",ylim=range(rminmax), log=\"y\",\n", " xlab=\"K\", ylab=\"Min and Max population\")\n", " points(x=KK, y=rminmax[,2], type=\"l\", lwd=2, col=\"blue\")\n", " points(x=KK, y=cminmax[,1], type=\"l\", lwd=2, col=\"darkgreen\",ylim=range(rminmax))\n", " points(x=KK, y=cminmax[,2], type=\"l\", lwd=2, col=\"darkgreen\",ylim=range(rminmax))\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Bem, a primeira previsão foi OK (observe que o gráfico acima usa uma escala logarítmica), mas para $K$ altos, os mínimos da oscilação vão para valores muito baixos, então as populações têm alto risco de extinção. Esse fenômeno é o chamado **paradoxo do enriquecimento**." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Dinâmica dos recursos do consumidor em um ambiente sazonal\n", "\n", "Um tipo especial de diagrama de bifurcação pode ser usado quando temos parâmetros que oscilam com o tempo, e queremos ver como isso interage com o sistema. Vamos considerar novamente as equações de Rosenzweig-MacArthur, mas agora fazemos $r$, a taxa de crescimento da presa, oscilar senoidalmente no tempo:\n", "\n", "$$ \\begin{aligned}\n", "\\frac{dR}{dt} &= r(t) R \\left( 1 - \\frac{R}{K} \\right) - \\frac{a R C}{1+ahR} \\\\\n", "\\frac{dC}{dt} &= \\frac{e a R C}{1+ahR} - d C \\\\\n", "r(t) &= r_0 (1+\\alpha \\sin(2\\pi t/T))\n", "\\end{aligned} $$\n", "\n", "Integramos de forma usual:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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CLfPQPMT8XW1UkPEOwAAACAiY2KXbdu3YhowYIF/Ct//etfP/roI/nPfPrpp0TU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mVLX/VwQKDO5hpugwF2r8dmnlseULVVq1OVmYLHXqyu0AACAASURBVGUnAAOwJTeG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\nnRYAz5ktYIqdLWye4BM7cVcs2+4EgNW0lMSua3fJY8ZV7LKprIEEgMVKFXq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i51fslMKY5oMtz8b35i/pkQwAnXFOPlnax6pKxdL5y2zD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\ntGXN1Ix/2TBJ7cawdYxU419+/yP+So4R4i/sGOnF36f4LGP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}, "metadata": { "image/png": { "height": 420, "width": 420 } }, "output_type": "display_data" } ], "source": [ "### Dinâmica dos recursos do consumidor em um ambiente sazonal ###\n", "## sequência temporal\n", "time <- seq(0, 2000, by = .5)\n", "\n", "## paramêtros: vetor\n", "parameters <- c(r0=1, alpha=0.1, T=80, K=10, a=1, h=0.1, e=0.1, d=0.1)\n", "\n", "## condições iniciais: vetor\n", "state <- c(R = 1, C = 1)\n", "\n", "## Função R para calcular o valor das derivadas em cada valor de tempo\n", "## Use os nomes das variáveis conforme definido nos vetores acima\n", "RM2 <- function(t, state, parameters){\n", " with(as.list(c(state, parameters)), {\n", " r = r0 * (1 + alpha*sin(2*pi*t/T))\n", " dR = R * ( r*(1 - R/K) - a*C / (1 + a*h*R) )\n", " dC = e*a*R*C / (1 + a*h*R) - d*C\n", " return(list(c(dR, dC)))\n", " })\n", "}\n", "\n", "## Integrando com ode\n", "out <- ode(y = state, times = time, func = RM2, parms = parameters)\n", "\n", "## plotando\n", " matplot(x = out[,1], y = out[,2:3], type=\"l\", lwd=2, lty = 1,\n", " col=c(\"blue\", \"darkgreen\"), xlab = \"Time\", ylab = \"Population size\")\n", " legend(\"topright\", c(\"Resource\", \"Consumer\"), lty=1, lwd=2, col=c(\"blue\", \"darkgreen\"))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Observe que, mesmo com $K$ pequeno, as soluções oscilam devido à oscilação de $r(t)$.\n", "\n", "Agora usamos uma ferramenta que é a favorita de todos os tempos dos físicos: o diagrama de ressonância. Funciona exatamente como um diagrama de bifurcação, mas o parâmetro que é alterado é o período (ou frequência) da oscilação externa." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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gCGDEGFCkKneYu9vWqq5D//FDoKEREVDxY7oiLz66/IygLUbNhEjnLlVLPZHTmC\n7Gyh0xARUTFgsSMqGunp2LkTANq1Q6NGQqd5j8GDASAqCp6eAichIqLiwGJHVDT271cNSlDP\ny3VK/ftDTw8A9u8XOgoRERUDFjuiorFlCwBUrYrevYWO8n4mJujeHQCOHUN6utBpiIioqLHY\nERUBHx/cuAEAEyaoBiiorSFDACApSTXOg4iIxITFjqgIKGc50dXF118LHSU/PXvC2Bjg3Vgi\nIjFisSMqrGfPcOIEALi4oEoVodPkp0wZ9O0LAOfO4eVLodMQEVGRYrEjKqwtWyCXA+o9bCIv\n5d1YmUzVR4mISDRY7IgKRS7Hb78BQPPmqpexqr8OHVCtGsC7sUREosNiR1QoR48iKgoApk4V\nOspH09KCiwsAeHkhMlLoNEREVHRY7IgKRTlsolIlDBggdJRPobwbm52NQ4eEjkJEREWHxY6o\n4G7dgp8fAIwdizJlhE7zKZo1Q4MGAO/GEhGJC4sdUcFt2AAA2toYP17oKJ9u4EAAuHMHgYFC\nRyEioiLCYkdUQC9eqO5j9ukDCwuh03y6YcMgkQDAgQNCRyEioiLCYkdUQL/9hlevAM2Z5eQN\nNWrAzg4A9u+HQiF0GiIiKgosdkQFkZWFrVsBoEEDtG0rdJqCUg6hePwYV68KHYWIiIoCix1R\nQZw+jYcPAWDKFNUNTU301VeqN9tyCAURkTiw2BEVhHKWE2Nj1UUvDVWpEjp3BoAjRyCTCZ2G\niIgKjcWO6JMFB+OvvwBg1CiUKyd0msJRFtOXL3HxotBRiIio0FjsiD7Zxo1QKCCRYNw4oaMU\nWp8+KF8e4N1YIiJRYLEj+jTJyaoO1KMH6tQROk2h6eujd28A+P13JCYKnYaIiAqHxY7o0+zc\niaQkQGNnOXmb8m7sq1f4/XehoxARUeGw2BF9AoUCmzcDQO3a6NJF6DRFpHNnVKkC8G4sEZHm\nY7Ej+gQXL+L+fQCYOBFaYvnTo62NAQMAwMMDUVFCpyEiokIQy48mohKhnOVEXx/DhwsdpUgp\n78ZmZ+PoUaGjEBFRIbDYEX2shw9x4QIADB8OExOh0xQpOzvY2AC8G0tEpOFY7Ig+1qZNyMoC\ngG++ETpKMRg4EAD8/VX3momISBOx2BF9lLQ07NoFAB07wtZW6DTFYNgw1cLBg4LmICKiQmCx\nI/ooe/fi5UsAmDhR6CjFw8YGLVoAwP79UCiETkNERAXCYkeUv1evsGQJANSogQu+GvgAACAA\nSURBVC+/FDpNsVEOoQgLw99/Cx2FiIgKhMWOKH+bNiEyEgDmz4e2ttBpio2LC6RSADhwQOgo\nRERUICx2RPlISMDy5QBQr17ug2iiZG6ODh0A4NAhZGYKnYaIiD6dhl18CAkJ2b59+61bt54/\nf56WlmZqalqtWjUrKytXV9emTZsKnY7EacUKxMWpFkR8uU5pyBB4eCAmBh4e6NZN6DRERPSJ\nJAoNeUw6ISFh5MiRv//+uzKwlpaWgYFBcnJydna2cod27dqdOnXK2Ni4yE/t6+vbpk2bjIwM\nXV3dIj84qblnz1C7NtLS0KoV/PwgkQgdqJglJcHMDOnpGDoUe/cKnYaISC3JZDI9Pb2rV6+2\nbt1a6Cxv0oxbsVlZWS4uLqdOnRo4cOD58+fj4uIyMzMTEhIyMzNfvnzp7u4+duxYLy+vXr16\nZfIGEhWpBQuQlgYAy5eLv9UBMDREz54AcPIkUlKETkNERJ9IM4pdQEDApUuX/ve//x04cKB7\n9+4VKlSQSCQAJBKJiYmJk5PT1q1bN27c6OPjc+vWLaHDkng8eKCau65XL7RvL3CYEqMcG5ua\nijNnhI5CRESfSDOK3fXr1wEM/+DrOV1dXbW0tK5du1ZSoUj8/vc/yOXQ0sKiRUJHKUHdu8PU\nFODrxYiINJBmFLuqVasCePz48Qf2iYqKys7OVu5JVHj+/jh+HACGDUPjxkKnKUG6uujfHwAu\nXkRMjNBpiIjoU2hGsXN0dCxbtuykSZPCwsLeucOzZ89GjBihra3dpk2bEs5GYjVnDhQK6Ori\nxx+FjlLilHdjMzNx7JjQUYiI6FNoxuQNVapUcXNzc3FxqVOnjr29fatWrSpWrGhoaJiSkhIX\nF3fjxg1vb++srKw9e/aYmZkJHZbE4OJFXL4MABMnwspK6DQlzsEBNWvi4UPs348JE4ROQ0RE\nH00zih2Ar776qlatWitWrDh58qSvr2/eTVKptEePHlOmTHFychIqHomJQoEffgAAAwPMni10\nGiFIJBg4EMuXw88PERGlsdoSEWkojSl2AFq2bHns2LEXL17cu3cvJibm1atXFStWNDc3r1mz\nZoUKFYROR+Jx8CBu3gSAWbNQubLQaQQybBiWL4dCgYMH8b//CZ2GiIg+jsZMUCwgTlBcqsjl\n+OwzhIejcmWEhcHAQOhAwmncGHfvol49BAcLHYWISJ1wgmIijbF1K8LDAWDBglLd6vDfEIqQ\nEHB2SCIiTaFJt2I/7Pjx4z4+Pt26devatevHfyotLW3z5s0ffl9FuPLnPJUCKSlYsgQAatXC\n6NFCpxHaoEGYMwfZ2di/H3wVMxGRRhBPsfP09Ny0aZOxsfEnFbvExER3d/esrKwP7PP06VMA\ncrmct2JFb+1aREcDwNKl4P/alpZwdMSVK9izB5MmoWZNoQMREVF+xFPsunbtamxs3LZt20/6\nlLm5+YULFz68z9atW8ePH8+HEUUvNharVwNAs2ZwcRE6jXr45htcuYLYWHTpAm9vVKkidCAi\nIvog8RS7nj179lS+vZyoQBYvRlISAKxYAYlE6DTqwcUFN29i5UqEhqJzZ1y5AhMToTMREdH7\ncfAEEQA8fIitWwGgfXtwPsS8li/HmDEAcO8eevRAaqrQgYiI6P00qdhduHChS5culStXbtSo\n0bp16954MO727ds2NjYbN24UKh5ptHnzkJEBiQTLlwsdRc1IJNi8GV99BQDXrqFvX2RkCJ2J\niIjeQ2OK3ebNm3v06OHu7i6VSu/duzdt2jQXF5fs7OycHTIyMsLCwl6+fClgSNJQ9+7hwAEA\nGDAArVoJnUb9SKXYuxfdugGAuzsGD8YHhxsREZFgNKPYPX/+/Pvvv69Zs+a9e/eePXsWGRk5\nYMCA48ePr1mzRuhoJAazZyM7G9raWLhQ6CjqSlcXx4+jTRsAOHECkycLHYiIiN5FM4qdt7d3\nSkrKunXrGjZsCMDCwmLv3r329vbz58+PiooSOh1pNm9vnD8PAGPGoF49odOoMX19nD2LJk0A\nYPNmzJsndCAiInqLZhS7hw8fAmjZsmXOGj09ve3bt2dkZCzkNRYqnNmzAaBsWb4RNX/Gxjh3\nDrVqAcDixarZYYiISH1oRrGrXbs2gODX31jZoEGD8ePH79ixIyAgQKBcpPFOnoSvLwBMn45q\n1YROowmqVoW7O8zNAeD777Fjh9CBiIgoD80odi1atAAwd+7c5OTkvOuXLl1qZmY2ZMiQFy9e\nCBSNNFhWFubOBQATE3z3ndBpNIe1NS5eRIUKUCgwbhyOHRM6EBER/Uczip2FhcXcuXP9/Pzq\n16//9ddf37x5U7ne0NBw165djx49atKkyZYtW4QNSRrHzQ1BQQAwdy7n3f00trY4dw7lyyMr\nC0OG4NIloQMREREATSl2ABYtWvTjjz8mJSXt2LHj3r17Oes7d+587tw5HR0dNzc34dKR5nn1\nSjUGtlo1fPON0Gk0kJ0dTp6Enh5kMvTvDz4QQUSkDjSm2AFYuHBhTExMSEhI9+7d867v1KlT\nWFjYxYsX16xZ07p1a6HikWbZsAGRkQCwZAnKlhU6jWZycsKBA5BKkZyM7t1Vlz+JiEhAGvau\nWD09vbp16769XiqVdunSpUuXLiUfiTRRSAiWLAGABg0wdKjQaTSZszM2bcI33+DFC3TtCh8f\n1KghdCYiolJMk67YERWJ5GQ4OyMpCVpaWLcOUqnQgTTc+PGqlvzkCbp0QUyM0IGIiEoxFjsq\nXRQKjB4N5cw58+bByUnoQKLwww+YMQMAHjxA586Ijxc6EBFRacViR6XLihU4ehQAvvgCP/4o\ndBoRWbkSI0cCwN276NOH3Y6ISBgsdlSKuLurJq6rXRv79kGL//cvOhIJtm9H374A4OWF+vVx\n5IjQmYiISh/+ZKPS4uFDDBqErCyUK4cTJ2BsLHQg0ZFKcfCgqttFR8PFBb16qYYeExFRyWCx\no1Lh1SsMGIC4OAD49VfY2godSKT09HDiBI4cQeXKAHD2LOrVw4oVyMoSOhkRUenAYkelwsSJ\nqhl0v/sOrq5CpxG7AQMQEoKxYyGRIC0Ns2ejZUv8974YIiIqRix2JH6bNmHnTgBo0wbLlgmd\npnQwMcHWrfD0hHLeyVu30KoVpk5FaqrQyYiIRI3FjkTOzw/ffQcA5uY4ehQ6OkIHKk3atsWt\nW5g/H7q6yMzEhg1o3BgeHkLHIiISLxY7ErPnzzFgAGQy6Ojg6FGYmwsdqPQpWxYLFsDfH59/\nDgDh4ejSBa6uePFC6GRERGLEYkeiJZfjq6/w9CkA/PIL2rQROlAp1qgR/PywdSsMDKBQYO9e\nNGyIPXuEjkVEJDosdiRa06fDywsAXF0xZozQaUo9LS2MHYvgYPTpAwDPn2P4cHzxBR49EjoZ\nEZGIsNiROO3di02bAODzz7Ftm9Bp6D/VquHkSezfr5oP5fx5NGyIDRs4HwoRUdFgsSMRun0b\n48YBQOXKOHYMenpCB6LXDR6MoCCMGAGJBCkpmDoVdepg5Uo+eEdEVFgsdiQ2L1/C2Rnp6dDW\nxqFDsLQUOhC9i6kpdu2Cuztq1waAiAjMmgVLSwwfjmvXhA5HRKSxWOxIVLKyMHgw/v0XAJYv\nR4cOQgeiD+rUCXfvYtMmNGgAAK9eYc8e2NujeXPs2IG0NKHzERFpGhY7EpV583DxIgA4O2P6\ndKHT0EcoWxYTJyIwEAEBGDZMNdHgzZv4+muYm2PcOPzzj9ARiYg0B4sdicfvv2P5cgCoVw9u\nbpBIhA5En6J5c+zZg8hILF+OGjUAICkJ27ahYUM4OODoUWRmCh2RiEjtsdiRSISEwNUVCgWM\njXH6NAwMhA5EBVKlCmbNQlgYjh9Hp06qdn71Kr76ClZWWLwY0dFCRxRCQgJu38bjx0LnICK1\nx2JHYqAcMJGUBC0t7N0LGxuhA1HhaGvD2RkeHggOxtSpMDYGgMhIzJuHGjUwcCA8PJCRIXTK\nYpCZiX//xeXL2L4dc+bAxQUtW8LUFCYmaNoUtWvDzU3oiESk3rSFDkBUWA8eoGdPhIYCwLx5\n6NlT6EBUdOrWxbp1WLIEBw5g82bcugWZDIcP4/Bh6OujXTt07ozOndGwodBBP11CAsLDERHx\n2q/Hjz90x1kux6hRqoJLRPROLHak2Tw90a8fXr4EgKFD8eOPQgcqQefunpt2eFqFchXOTD5T\nyaCS0HGKUblyGDMGY8bAzw+//oqjR5GRgbQ0/PEH/vgDAKpWVTW8zp1VUx+rrYcPcfw4jh/H\n9evIzv7Qnjo6qFEDVlaqX0ZG+OEHxMXhxx/x+DE2b4Y2//4mordIFAqF0BnU3datW8ePH5+c\nnFy+fHmhs9Brdu3C+PGQySCRYN48LFhQWgZMJKQlTDs8zc3XTfll0+pN/5rxl1FZI0FDlZz4\neHh4wN0dly69+UYyiQSNG6NzZ3TpAgcHlCkjUMS33L+PEydw/Dhu3HjH1ooVcwtczi8LC0il\nr+0WEoIePVSz+fTogcOHwb+TiAQhk8n09PSuXr3aunVrobO8icUufyx2aig7Gz/8gBUrAEBP\nDzt2YMgQoTOVlAuBF8bsGfMk/gkAbS3tzOxMAG1qt7n47cVyeuWETlfSHjxQNby//kJy8mub\nypaFoyO6dEHnzrC1Fab0372r6nOBga+tr1MHzs74/HNVh/v4sT7R0ejZU9UOW7TA2bOoUqWI\nMxNRvljsNBuLnbpJS8OwYThxAgAqVcLJk2jTRuhMJSIpPWnmsZnbvbcr/9h2bdB1y7Ats4/P\nPux/GIDTZ05nJp8po6M2F6lKVmYm/Pzg7g53d/j7v/ny2cqV0aAB6tSBjQ3q1EHduqhVSzVn\nXpFTKHDjhup+q/LRzxy2tnB2Rr9+sLUt+PFTUvDVV6p70LVq4Y8/ULduoQIT0adisdNsLHZq\n5dkzfPklAgIAoH59nDkDKyuhM5UI9yD3r3d//fjlYwCGZQ1X9V81xnGMRCKRZ8n7/tr33N1z\nAHo36X3sm2PaWqX92av4ePz5p6rkRUS8ex9tbdSsqSp5yrZnYwNLy4Jf2MvOhp8fjh/HiRNv\n3iBu3hz9+qFfP9SpU8CDvyEzE+PHY8cOADA1xenTUL8fLkRixmKn2Vjs1MedO+jVC5GRANC5\nM44cUU2EIW5psrSfzvy06uKqbEU2gM71O/82/LfqFarn7JAuT+++rvuVB1cADLUbunvUbi0J\nZzJSCQuDuzuuX0dwMEJDER//oZ3Lls0teUZGyMzMvb0rkyE1VbWcno5Xr1TLKSmQywHgn3/w\n7FnuobS0YGeHfv3g7IyaNYv2e1L56ScsWACFAmXLYt8+ODsXy1mI6G0sdpqNxU5NnDmDwYOR\nkgIA48Zh06ZSMSrQJ8xn5K6RYTFhAPR19Zc6L53ScYrkrctKSelJndZ0CngYAGBC+wm/DPlF\ngKyaIDYWDx7gwQOEhub+N6elFZ5UirZt0a8f+vZF1apFdtj3cXPD2LGQy6GlhbVrMWVKsZ+R\niKDexa4U/GAkUVi7FjNnIisLUilWrcK0aUIHKn5vXKhzqO2wa+Su2pVrv3Nnw7KGf0z9o/2q\n9v9E/fOr568m5UwW91lcsnk1Q6VKqFTptYcyFQo8fozQUFXJu38foaF4+DB3Pjlt7dzBDXp6\n0NdXLevrQ09PtVy+PExN0a0b+vRBpRKceWbECJibY8AAJCdj6lQ8foyVK6HFy7VEpRiLHam7\nzExMnowtWwCgfHkcOIBevYTOVPyuhl0duWtkaEwoAH1d/R97/Tiz68wP32CtWL7i5e8ut13Z\n9sHzB0vOLTEoYzCr26ySyqvBJBLUqIEaNeDklLsyO1tj6lHXrrhyBV98gWfP8PPPePIEu3fn\nNk4iKm005K8uKq2Sk9Gnj6rVVa0KT0/xt7p0efrs47PbrmyrbHVtare5Pf/2rG6zPuaxuSqG\nVdynuysfv5tzYs6WK1uKPa5IaUqrU2raFP7+aNQIAA4fRocOePFC6ExEJBCN+tuLSpl//4Wd\nHc6dA4DGjXHtGpo3FzpTMfML92uysMmKCyuyFdlldcou77fc63svm8qf8O7b6hWqu093r2JY\nRaFQTNg/YafPzuJLS+qjWjV4eqJdOwDw80O7dm+OzCWiUoLFjtTUtWuwt0dQEAA4O8PXF5aW\nQmcqTgqFYv7p+Q4rHB48fwDA0cbx7oK7H3mh7g11qtQ5N+WcUVkjhUIxbu+432//Xgx5Se2Y\nmODiRQwaBABBQbC3x82bQmciohLHYkdqJz0dP/+MDh3w/DkAzJqFo0dzn1gXpVfyV4O2D/rp\nzE/KC3VrXdZ6zvR83ziJj9G8RvMzk8/o6+pnZme6bHW5HHy5CNOS2tLTw759mD4dAJ49Q/v2\n2LoVGRlCxyKiEsRiR2okPR3r1sHKCjNm4NUr6Opixw4sX65hDzx9qpjkmI4/d1S+PaJOlTo3\nf7z5rdO3hZ+IztHG8cSEE7rauhmZGX1+6eMX7lcUYUndaWnh55+xbh20tJCcjPHjYW2NtWtz\nJ+EjInET9Q9M0hzp6Vi/HtbWmDYN0dEA8Nln8PDAqFFCJytm/0T902pJK2XralO7jc8sn3pm\n9Yrq4F0bdD089rC2lnZKRkr39d1vPuadudJi6lScOqWaGPnpU0yfjpo1sXgxEhIEDkZExY3F\njgQmk2HbNtjY4NtvVRP3W1lh61bcuwdHR6HDFTP3IHeHFQ4P4x4CGNlm5J/f/VnJoIjnQOvT\ntM/OETu1JFqJ6Ynd1nULfhZctMcntdWrF8LDceQIPvsMAF68wLx5qF4dU6e+9oYMIhIZFjsS\njLLSWVlh3Dg8fQr8V+kePMDYsZBKhc5XzH7z/u2LDV8kpCVIJJL5vebvHLFTV1u3OE40zH7Y\nhkEbAMQmx3ZZ20XZI6k00NLCgAEIDMTp02jZEgCSk7FhA2rVwrhxqlfzEZHIsNiRAN6udLVq\nYetW3L9fKipdVnbWtMPTxuwZI8+S6+vqHx1/dMGXC4r1jBM7TFzUZxGAJ/FPuqzp8iyRV2xK\nES0t9OqFv/+Gtzc6dQKAjAxs2wZra7i64v59ofMRUZFisaMS9b5Kp7xKVxre/ZqSkdLnlz7r\nPNYBMDcy95zp2a9ZvxI479wv5s7sOhNAaEyo4wrHiNiIEjgpqRUHB3h4wNsbPXtCIoFcjr17\nUb8+evXCjRtChyOiIsJiRyWElQ7Ak/gnjiscz949C6CRRaNrP1xrWbNliZ19Rb8VE9pPABAe\nG+6wwuHe03sldmpSHw4OOHMGN29i2DBIpcjOxtmzaNkSvXrh2jWhwxFRobHYUbHLzMSvv75W\n6WxssGcPQkNLUaUDcCfyTuvlrW9H3gbQtUFXr++9lO/+KjESieSXIb8s77ccwLPEZ21XtvUJ\n8ynJAKQ+mjTBnj24fRuDB0MqhUKBs2dhb4+WLTFtGo4f5wALIk3FYkfF68IFNGqEiRNzK93u\n3QgOVl0tKD1O3jrZennryJeRAMa2HXt2ylmjskaCJJnVbdaGQRu0JFoJaQld13b9I/APQWKQ\nOmjYEPv34/59fP01dHUBICAA69ahf39Urap6CG/LFgQGIjtb6KxE9HFY7Ki4BAeje3d0747g\nYACwtsbu3QgKgqtr6ap0ANZfXt9/c/80WZpUS7p+4Pqtw7Zqawl5oXJyx8m7R+3WkeqkydK+\n3Pilm6+bgGFIcNbW2L4d4eH44QfY26saHoCICOzdi2++ga0tTE3xxRdYvBienkhLEzQuEX1Q\nqbkNRiUoLg4LFmDLFmRmAoCxMebOxeTJuT8wSo/M7MypB6f+6vkrgPJ65Q+OPdizUU+hQwHA\nULuhxvrGX235Kl2ePspt1MvUl9M7Txc6FAnJwgJLlgDAq1fw98fVq7h6FX5+iIsDgIQEnD+P\n8+cBQFsbzZqhdWu0aYNWrUT+EmcijfMJxe7Ro0dxcXEVK1asXr1EHwwiDSKXY9cuzJ2L2FgA\n0NLCkCFYtQpVqgidTAjxafH9N/f/M+RPANWMq52ZfKZp9aZCh8rVs1HPC99e+HLTl4npid8d\n+S4mKUb5+B2VcmXKwNExd3rwiAj4+ODqVfj4IDgYCgUyM/H33/j7b6xbBwB6eqhWDVZWsLJC\n/fpo0ABWVqhRo9RdmCdSEx9V7H777beffvopMjISwIIFC2bMmNGqVavvvvtu5MiRxRyPNMnZ\ns5gxI3darM6dsWYNGjYUNJNwwmLCem3sFRIdAqBVrVanJp4yMzITOtSb2tZp+9eMv7qv7/48\n6fmKCytSZanrB64v/GtqSUyUjc3VFQBiYuDrCx8f+Prixg3IZACQkYGICES8Pn+Onh6srVG7\nNmrXzl2oXr0UDZYiEkr+f8iWLFkyd+5cU1NTFxeXCxcuANDW1o6Ojh41atSTJ0/mzZtX/CFJ\n3QUGYvp0uLurvqxbF6tXo6da3HIUhtcDL+fNznEpcQAGtBiwe9TusjplhQ71bk2rN/We5d1l\nTZeHcQ83/bnpZepLt5FuOlIdoXOROqpcGX36oE8fAHj1CgEBuHsXDx4gNBTh4fj3X1XVA5CR\ngaAgBAW99nEdHdSsCUtLVK0Kc3NUrQozM1SrhipVUK0aypUr6W+HSJTyKXZRUVE//fRTy5Yt\nL1y4UKFCBRsbGwB6enr37t1zcXFZsmTJyJEjLSwsSiQqqaPYWMyfj+3bVY/TmZjgxx8xcSJ0\nSnEx2O27e+zesbJMGYD/ffG/Rb0XSSQSoUN9iE1lG5/ZPt3WdQt8Gnjg+oH41Phj3xzT19UX\nOheptTJl4OAAB4fcNVlZePwY4eEIC1P9Ui6/eqXaQS5HaChCQ999wPLlYWGBKlVgYYHKlXOX\nK1WCqSlMTXm1j+ij5PMH5dKlSzKZbPXq1RUqVMi73tzcfP369c2aNfPy8ho8eHBxJiQ1JZNh\n40YsXoyEBADQ1sb48ViwAKamQicTjkKhWHhm4cIzCwHoautuG7ZteOvhQof6KNWMq3l979Vr\nY6+rYVf/CPyjw+oO56ecNy1fiv+3pE8nlaJWLdSqBSen3JUKBZ48yW17ERGIikJUFJ49yy18\nSikpCAlBSMh7j29klFvy3vhVsWLuclk1vThOVELyKXYvXrwAUKdOnbc3VatWDUBUVFRxxCJ1\nplDg99/x/fe5//Lu1g1r1uCzzwSNJbRX8lejd48+cP0AgArlKpyYcKJdnXZCh/oEJvoml6Zd\n6r+5/x+Bf/z9799tV7W9NO1SNeNqQucizSaRwNISlpZo3/7NTfHxqoan/BUVhehoPH2K6GhE\nRb1jUpXERCQmIiwsnzPq68PYGMbGMDLK/WVi8tqXRkav7UAkJvkUu4YNGwK4efNmjx493th0\n/fp1APXq1SumZKSGoqKwZw927cKDB6o1n32Gn39G9+6CxlIDzxKf9d7U2/+hPwCbyjZnJp+p\na1ZX6FCfTF9X/9TEU8N3Dj/kfygoKshhucOl6ZdsKtsInYvEycQEJiZo0ODdW5OS8PQpnj9H\ndDTi4t78FRuLuDgkJ7/jg2lpSEvDJ11zMDZGuXIoVw4GBjAyQrlyKF8+d7lcORgavrZsaAg9\nPRgYoGxZlClTkO+dqPjkU+zs7OwqVqz47bff1q1b19raOmf906dPp0yZYmhoaGdnV8wJSXgy\nGc6exc6duHABWVmqlaamWLAA48fzwRfce3qv18Zej+IeAXD6zOno+KPG+sZChyogXW3dA2MO\nmBmZrfNY9zDuoeMKxwvfXmhi2UToXFTqKPvTh+8DyGSIi8PLl68Vvvh4JCaq/puYiIQE1UJ6\n+nuPk5CgeqSkYIyMoKMDQ0NVzzM0hK4uDA1RpgzKloWhIXR0YGQEPT3o66N8eejqwtgYurqq\npqj8UkcHBgYFz0CUI5+fycbGxnv37v3iiy8aNmzYrl27mJiYCxcu3L9//8yZMykpKfv27atY\nsWLJBCVB/PMPdu7Evn2Iicld2bAhRo/G8OEwMREumdo4c+fM4O2DUzJSAIxrN27T4E3CvlWi\n8CQSyVqXtQZlDBadXfQ86XmH1R12j9r9he0XUi3OS0bqRVcX5uYwN/+onWUyVcN7u/YlJyMl\nBQkJSElBaipSUxEfj9RU1Zf5SkwEgBcvCvW9KCmroZER9PVVDw5WqpT7ZGHeNWyB9D4ShUKR\n706BgYFz5sy5fPlyeno6AG1t7VatWi1btswxZwpLUdu6dev48eOTk5PLly8vdJYSkpiIQ4ew\naxeuX89daWSEQYMwahRathQumZpZ477m+2PfZ2VnSbWkq/qvmtZ5mtCJitKGyxu+Pfyt8q8I\nMyOzAc0HDPx8oL2VvZoP8iUqWsqSp+x5yuX0dCQl4dUr1YJcjsRE1ZfJyaoGmZGBtDQkJ0Mu\nL9TlwPfR1X2z6il/VamCKlVQqRIqV8brgx6pKMlkMj09vatXr7Zu3VroLG/6qGKnpFAoIiMj\nZTJZzZo1tUvT7bfSU+wUCly5gp07cfx47pPLEgnat8eoUejXj8PNcsmz5JMOTNrmtQ1q9q6w\norX/+v4xu8eky3NvYtUwreHS0mVgy4Fq9RYNIjWn7HkpKZDLER8PuRwpKUhLQ0YGEhMhlyMp\nCenpePVK1RSV95dfvFDdYpbLC3JSXV1V2zM3Vy2YmaFyZVX/Uz5ZqKsLIyNocVbyTySSYve2\niIgIExMTE7HfkCsNxe7JE7i5wc0N4eG5Ky0tMWIERoyAlZVwydRS8qvkgdsGnr93HkA142qn\nJ59uVr2Z0KGKS0Jawuk7p48GHL34z0V5Vu6Pl5qmNV1augxvPfwz89I9HJqo+CUmIibmtar3\n4sVra168wIsXKPDPcy0tGBm99tifkRG0td9cmTNYxNAQUqnqU4Dq8UEA5ctDRwcSCYyNAUBH\nB8ofm8qDiIkGF7uNGzdu2LBh3LhxM2bMeHurgYHBjBkz5s+fX2zx1IKIi118PE6exKFD+PPP\n3FERenro3RujRqFzZ/4z7h0iYiN6buwZ/CwYQBPLJmcmn7EwKRVzdL9Mw/xshQAAIABJREFU\nfXn27tm9fnv/DPkzW5Gds75+1foDmg8Yaje0duXaAsYjKuWyshAbi9hYREcjJgaxsXj+HM+f\nIzYWMTGIjkZs7IdGkJQM5YASILcj6utDTw/4rxQCMDBQjcnLuZRobAzlAyDK60g5hVIqhaEh\nAGhrqx46fHshp1zmLBQJdS52+dxRffnyZVhY2MyZM319fd3c3AyVv4Wk4VJScPo0Dh/GxYvI\nyMhd37gxRo3C0KF8MuO9fMN9+/7SNyY5BkC/Zv32jN5Tet7QUKFcBVd7V1d71yfxT47fPH40\n4KhvuK9CoQiKCloYtXDhmYX1q9Z3tXcdZjesqnFVocMSlTpSKczMYGYGW9v37pOSgmfPVP0v\nIQEZGbnPCMpkSE1V3R1+38qcf/8X2KtXqomp4+MLe6iCqV8fvr4in7ww/0fldHV1p06dumrV\nqsDAwOPHj9t+4P8ypN5evcIff+DQIZw9+9rkn2ZmGDAAI0agmWhvJxaNvO8K+6HHD4v7LC6d\nwwgsTCymdpo6tdPU0JjQQ38fUk56ByAoKmj28dn/O/k/eyv7FjVbNLFs0tiycX3z+rraukJH\nJiIAKF8eNjawKcTclJmZqukDlU8EAqrCl52tGh2sHEQCIDlZ9arJxERkZwNAQgIUCigUqtEk\nOR/JOaby0UNAVSjzHi3ndIUUFIQnT0p9sdPS0lq5cqWdnd2IESPs7Oy2bNkybNiwEkhGRUUu\nh4cHDh3CqVNISspdX6ECnJ0xcCDat4eUE1l8UFJ60oyjM7Z7bwegp623zXWbq72r0KGEZ1PZ\nZl7PefN6zrv75O4h/0OH/j7074t/s7KzfMJ8fMJ8lPvoSHUaVG3Q2LJxE8smjS0aN6nexERf\n5E/lEomYtrbqfqhQT9enpkImA6AaiYI8DfLthZyrjDkLtWu/d05s0fjYwa3Ozs4NGjRwdnZ2\ndXX19fVdt26dnvKuOKmr7Gz4+uLoURw+jOfPc9eXLYtOneDqit69ocsrKR/hQuCFsXvHRr6M\nBFCxfMUTE0442pSKiX4+XiOLRo0sGi3tu/T6v9eP+B/xCvW69+ReRmYGAHmW/Hbk7duRt3dj\nt3LnGqY1lBfzGls0bmLZxKoSx+YQ0cdSjuSAcM1S/X3CrCV169a9fv366NGjt2zZcuPGjaNH\njxZfLCowhQLXr+PQIRw9+tpLdcqWRY8eGDQIPXpw1pKPlZie+H/27jusybP7A/g3CYQQ9ka2\nOBBQFEfRqhW31q0VtYqj1WrtUGuH1Vq1P7WtWuugrbN1772qgoj6IqKiILKcyN4rIQkh4/fH\nkyIKEpSQAJ7P5eWVPHme+z709YXDPc791aGv/gn/h9lj1N+r//Yp250tnXUdV8Pl19zPr7kf\nAJlClpiZGJ0aHZMWE50SHZ0anSdU1W99lv/sWf6zk9Enmbdmhmbtndu3sm3lZu3W3Lq5m5Vb\nc+vmzcyavZ3T3IQQUkevV47O2Nj44MGD3bp1++abbzp16iTRyIw30ZC4OBw+jH378PDh84sc\nDnr3RmAgRo4EbX15Lediz83cPTOtMA2AqaHpmrFrpveYTtlGLemx9do6tm3r2HYSJjFX0grT\nYlJjYtJiolOjo1OiH+c+ZrbWFouLrz64evXB1cqPG+gZVOR5lRM+GxMbHXwxhBDSeKhJ7PT0\n9KpOuc6dO7dTp04BAQEyZhKb6NSTJzhwAPv34/795xc5HPj7Y/x4jB5NW1xfW5GoaN7BeTuu\n72DeDvQeuGXyFhdLF50G1eg5WTg5WTgN8RnCvBWWCe+l3YtOjY5JjYlNj03OS84szqy4uUxW\nlpSVlJSV9FIjRgZGTIbnZOFkbWxtbWJtbWxtZWRla2prbWxtbWz99mxSJoSQar15geLMzMxz\n58517NjR17eJF6BvmHXsMjNx6BAOHMCNG88vsljo1g3jx2PsWNjb6y64xuzMvTMzd8/MKMoA\nYGZo9lvAbx91/4gG6rRAUi55mvc0OT/5ad7T5Lxk5nVyXnLFHG5t8Ll8K2MrG2MbW1NbKyMr\nJvljXpgZmhlyDflcvjnf3FDf0JBrSNs4CCFvphHXsatBs2bNPv74Yw2GQmqjqAinTuHwYZw/\nj8oDpl5eGDsWkyahJdWIfVOFosK5B+buitjFvB3cdvCWyVvekuLDDQFPn+fZzLPqORYCiYDJ\n9ionfFnFWXnCPLni5bJaIqlIVCBidrrUBp/LN+QamhmaGXGNDLmGpjxTY54xn8s3NjDW5+gb\nG6h+l9Pj6JnwVIeu67Grf/0ShVJRLC6uGh6zpwQAC6wWti06u3Z2tXKtZbSEEKJWNYndsmXL\nli5dOn369K1btzKva3h+6dKlTf7kiYZALEZICHbvxsmTqp3eDFdXjBiBKVOoBF1dnYo5NWv3\nLGY20JxvvjZg7bTu03QdFAEAE55JO8d27RyrqaCZL8zPE+blCfPyS/PzBHm5wtxcQa7qijA/\nV5CbI8gRSAQ1NC6SikRSUb4wv97CV8/GxKaTa6fOrp07u3Xu7NbZ0dxRh8EQQhq7ahK7Nm3a\njBw5skOHDgC8vLw++OCDGp738vKqr9AIIBbjwgUcOoRTp1TVGhkODggIwIQJeOcd3QXXVBSU\nFny5/8u9kXuZt0N8hmwO3Ew/XBsFK2MrK2MrD3jUcI9UJmVSPXG5WCARCCQCkVRUWlZaLC4W\nS8UiqahIXKR6ISoSSUXicnGxuLi0rJSpRF0uLxeWCev1q8gV5J6/f/78/fPMW3szeybJY7I9\nezNaVEEIeQ1vvsbu7aH9NXalpTh3DkeP4uxZVRluhqUlxozBhx/ivffoFFfNOHH3xKd7P80q\nzgJgwbdYN34dVR4mr1I5ySuXlwslwqrXuXpcI+7Lp52bGppy2C8UAedyuCwW627K3ahnUbef\n3b6dfDspK6nyCbwVnCycOrl26uzWubNrZz93P1oXSEhD0NTW2AmFQoFA0KxZM41H85YrKcHZ\nszhyBOfPv3Dkl7Exhg/HhAkYMIBKCmtMriB3zoE5+2/uZ94Oaz9s06RNdMgpqYE+R79yXmVr\nYlvHBru37N69ZXfmtUAiuJty9/az21HPom4n336Y85D5rTutMC2tMI0p+6fP0e/r2Tegc8BI\n35GU4RFCqqU+sROJRL/99huPx/vmm28ArF279rvvvpPJZG3btj1y5IiHR02TIKQ2iooQHIzT\np3Hs2AvzrXw++vTB2LEYPRoNaT9uo3cn5c6fl//cf3O/SCoCYGlkuX78+kldJ+k6LvJWM+GZ\nvNf6vfdav8e8LRYXRz2LYpK8289uP8l9AqBcXs5M2s7aM6u/V/+AzgEjOowwM2zSx14SQl6T\n+sRuwIAB4eHhzEq7hISEb7/91srKql+/fsePHx85cmRcXBybJgXfSEEBzpzB4cO4ePGF/RAW\nFhg6FGPHYsAA0LFtGlQmKzt8+/Afl/+48eR5hZgRHUZsmrSJljGRhsbM0KxPmz592vRh3haU\nFtxKvnU65vTRO0ezirOkMunZe2fP3jtroGcw0HvguC7jhrUf9qr9uYSQt4qaxC40NDQ8PHz0\n6NHr1q0DcPDgQblcfujQoV69em3YsGHOnDlhYWF9+vTRSqhNxMOHOHkSFy4gLOyFeiU2Nhg5\nEmPGoE8f6OvrLr6m6Fn+s01XNm3/3/ZcQS5zRY+tN6LDiM96f9a7TW/dxkZIbVgaWQ70HjjQ\ne+D68euvPrh66Paho3eO5gpyy2Rlp2JOnYo5ZahvOLjd4IDOAUN9hhoZvLzI73UViYqUUAok\nAplcxpRokZRLxOViZmVhRSUX5jbmkcqLDl9oSlxUm5XcJeISufLl4jU1MOIacfXqujCFKWrz\n2k/x3uSpChX7ctRi/ptXvS4sE5bLy2vTgrmhedUanOZ8cxZeuGjINeTp8ypf4XP5BnovjCsY\nGRhxOS//B+ewOaaG1ZxoxOVw1f4jrM1agqqBVX+bfq1ue3uoSezi4uIALFiwwNHREcClS5ec\nnZ179eoFYMCAAQCSkpIosau96Gh07IjK3+Xs7DBmDMaMQa9e4HBe/SR5fUql8mL8xT8v/3k2\n9mxFwTN7M/sZPWfM7DWT9r2SxojD5vRu07t3m95BHwZdTrp88NbB43eP5wvzxeXiY3eOHbtz\njM/lD/EZEtA5YIjPEEP9F46FlpRL8oR5uYLc7JJs5kWeMC+rJCtPkMdsHM4uya5ae4+QpsTH\nyefat9eqzUebDDWJnVwuB2Bubg5ALBbfvn179OjRzEcmJiYASisvCtOKwsLC2NjY7OxskUhk\nZWXl6Ojo6upq2UiOzSouxku/uxYWIj4eDg4wNkanTpTbaUahqHBH+I6/wv56mPP83NyerXp+\n1vuzUb6j6v6LPiE6x2Fz+nn26+fZ78+Jf15KuHTo9qETd08UigpFUtHh24cP3z5sbGDc17Ov\nQqnIE+bllOSoLemnQVXHe/BikWftkJRLxNJqRrxq+2x1o2X1x9TQlMN65Q8APpdvoF/N0hwT\nnoke+4Wf49VGXu1/CnG5WFL+1h34fi/tXkpBSlvHtroOpB6pSeyYvREXLlxo1arVkSNHJBLJ\n4MGDmY8uXrwIwNVVezXTo6OjV61adejQISbdrMDhcIYOHTpnzpzevRv6tFqvXjh2DOfPIz4e\nN25AJoNUirAwhIXhhx9gYYHevdG/P/r1owMk3tDdlLt/hv25L3IfszECgLGB8cSuEz/r/Vm1\nFW4Jaez0OfqD2g4a1HbQpkmbguODD90+dDL6ZLG4WFgmZPbS1vysjYmNtbG1rYktc96uob6h\nOd+cxWKZ8kw5bA4zAcfT5xlyDZmjONgsNrNdg7mtamJBGq/KJ6Mwqk4cK6EsEhVVfbaGio9l\n5WUV35BrUCpVP0n9Zgk3s6iAee3r4tu0szqorWMnl8s9PT1TUlL8/PzCw8PNzMyePHliamo6\nf/78bdu2cTic5ORkMzNt7Mk6cuRIQEAAgC5duvj5+VlZWZmZmZWUlOTn50dFRUVERCiVyr17\n906YMEHjXddTHbvSUkREICQEISG4c+flkbxmzdCjB/r1w9ChcKASHOpkl2T/e//fLVe3RDyO\nqLjYxr7N7N6zJ3ebTNsGyVulTFZ2/v75Q7cP3Xx608jAyM7UzsbYxtrY2sbExtbU1tbE1trY\n2trY2s7UzpxvrutgCWmUGnIdO/UFih8+fDh16tTIyEgbG5tt27YNGTJELpfr6emZm5vv2rVr\n2LBhWogyOzvb3d3dycnp1KlT1RZYSUtLGzly5L1791JSUuztNbzDUQsFitPTERKC4GBcuoSs\nrBc+YrPh64tBgzB0KLp0obna58Tl4msPrgUnBAfHB99Lu1fxL1mPrTe8w/DZ/rP7tOlTdeEw\nIYQQUkcNObFTP4TeqlWr8PDw8vJy/f/2arLZ7PDw8Pbt2xsZ1XXvVS1du3ZNJBL9+eefryqb\n5+TktGvXLm9v7/Dw8DFjxmgnKg1ydMSUKZgyBUolYmNVw3hXr6K0FAoFoqIQFYUVK2BtjUGD\nMGQIBgxAI1lVqHlPcp+EJIScjjkdkhDy0gIRO1O7qe9O/dT/UzpVnRBCyNuptmsj9CtV4GCx\nWFpOUTMzMwG4uLjUcI+rqyubzc7IyNBWUPWCxYKPD3x88NVXkEpx/TpCQnDhAqKioFQiLw97\n9mDPHnA4ePddvP8+3n8fPj66Drr+pRWmBccHB8cHhySEVJQsYXDYnHeav9Pfq39/r/5d3bvS\nch9CCCFvs8bxU9DPzw/Anj17li1b9qp79u7dq1AomDubBi4X/v7w98fy5cjNRVgYTp/G6dMo\nKoJcjmvXcO0avv8ednYYMADDhmHgQJg2oR3cIqno+uPrIfEhIQkhd1LuvLRmwN3GndkS2M+r\nH52tRAghhDAaR2LXqVOnfv36/fTTT0+fPg0MDPTz8zP9L4UpLS2Nioo6ePDgX3/91a1bt44d\nO+o21HpiY4OxYzF2LORyRETgzBmEhCAqCgCys7F7N3bvBo+n2m8xfDg8PXUdce0olIqs4qy0\nwrT0ovTUgtTUwtT0wvTUglTmyktFOC2NLPu06cMMzjW3bq6rmAkhhJAGS/3miQaisLAwMDDw\n7NmzzFt9fX1TU1OBQCD97zSuHj16nDp1ysJC84M3Wtg88WaePMG5czh7FmFhkLxYjahtW4wd\ni4AAtGmjo+BelCvIfZz7OL0oPa0wLSU/hXmRWpCaWZxZcwl1rh63m3s3Jpnr5NqJw6bNI4QQ\nQnSsIW+eaDSJHSM2Nnbbtm3R0dE5OTkSicTa2rpZs2YtWrQIDAysv7G6BpvYVRCJcOkSzp7F\nuXNITX3ho3btEBCAgAC0bq29eJ7lP0vMSozPiE/ITEjITEjISsgX5tfmQZ4+z8nCycHcwcXS\nxdXK9d0W7/Zq3avu5yMRQgghGkSJXePW8BO7yu7dw9mzOHwYd+++cL19ewQEYOxYtGqlye5k\nCtnTvKdx6XGJWYkJmQnxmfGJmYmvKlPJMNQ3dLJwcrRwdLZ0drZwdrRwdLZwZq7YmthqMjhC\nCCGkHjTkxK5xrLEjtcdsqv3+ezx6hEOHcPgwoqMBICYGMTFYtAi+vqpZ2hYtattmsbg4T5iX\nL8wvKC3IL80vKC3IE+YlZiYmZCYkZSfVUCvc0sjSs5mnVzOvNs3atLZrzaRx1sbWmvhCCSGE\nEDXKyyEUAkBhIQBYWzepXYbVUp/Y5ebmrlq16v79+zKZrOqnkydPDgwMrIfAXptYLJZKpTwe\nz8CgmgP13kItW2LhQixciAcPcPgwDh3CvXsAcPcu7kbLFy4raduxuN9gQQ9/oamVsFBUyORt\nFalb5TROrpCr6w0Ampk183LwamPfxtvBu419Gy8HLztTu/r9IgkhhDRaAgFkMohEKCtDWRlE\nIshkEAigVKKoCABKSiCXo7QUUikkEojFqkRNoUBxMQAUF0OhULXAPAugqAhKperiSywsEB8P\nTZ9j0LCoSezKysq6dev2+PFjNpttYWFRtY7/gAED6i221/Ptt98GBQUtXbp0yZIltX8qOTnZ\nz8+vvLym9ftlZWUAGsKcdaGoEECJuESukDPH6pXJykRSkUwuE0gEFUf4FYuLJeUSYZmwSFRU\nIi4RlgmFBkL9sQLnAYUFJUKxTKBgiwHcB+6nYN2uN4mEzWK7Wrl6NvOsnMnR8USEENJIMXkV\ng0mhGGLx8815zKAXk2ZVjIRVzqIqUqvK+RbT8ksJGfOU9pWUoLRUB/1qk5rE7vTp048fP54y\nZcoff/yhtXMmtMnFxWX79u1icU2HCgcHB2/dulUjh1PJFLLuP3d/nPtYj6MHQKFUyOQyNpvN\nAov5VKFUsFlsAAqFQiqTMp0qoCgrr/J7xxtj1/ShoZ6xjamllbGVlZEV87elkaWlkaWVsZWl\nkSXzlnnNxEkIIUQLZDLk5CA7G5mZyM1FZiayspCbi4wM5OQgJwfyWs2svEAqbWRZjr4+jI3B\nZoM5o97cHCwWjIzA5YLLBZOkMLUxjI2hrw8DA/D5YLFgbg4AJibw9HyNZUiNlJrE7sGDBwDW\nrl3b8LO69evXr1u3js1+vWyDzWYPHTq05nsKCgq2bt1ah9CeO3DzwM3kmxppSi0Wi8VhcfQ5\n+lw9roGeAU+fxzfgG3ONTQxNTAxMLIwszA3N5SKrJwlW9yJt0x40g8AdZZZiuYGhByZ9gqlT\n395TywghRMukUuTmIidHla7l5CAjA7m5yMpCVhZycpCbq5shrtp7KbVi8i0eD4aG1SdkJibQ\n0wOfDwMDVQampwcTk+d5mJkZ2GxVisa0Q2pDTWInFApZLBanMZw8/7opnU6M7jh62allGcUZ\nbBabzWJXlHBjs9lyhVyhVDBvWWCVyeo6RKdUKmVKmUwhE5fXNB4JAB6AB1jgQGKtlFglSazn\n/2v97UlbL3frPt2tu7SztjKysjW1tTG2sTK24nP5dQyMEELeNsXFqoyNGWxjXlRkbNnZqlnO\n12JkBAcH2NrC1hY2NmpuZpKkalUkZIAqwWJUzqUqXjPZ2EsjYUzuRRoINYndgAEDfv755x07\ndsyZM0c7ATVtfC7/4cqHr/uUSCoqk5VJyiViqZhZVFcuLxeWCeUKeYm4RKFUFIuL8d8KvCJR\nkVKpLBQVCiQCYZlQWCYsEZcUi4uZt6Vlrxx2V0IOXjZ42cxbORALxEYCkS9/CdbG1ramtg5m\nDm7Wbi6WLkzNORdLF3uzJr0elRBCqhCLUViIwkJkZiIjQ/W68p/MTKSnV7OKXy0eDxYWcHBA\ns2bVvHBwQD3U4ydNgZrEzt/ff/Xq1QsWLEhJSRk/fryLi4ue3guP8Pl8QxoerWd8Ll9T42RK\npbJIXCSQCJg8TyARFImKhGXCYnFxniAvT5iXI8jJE+alZOdnFeVJkAfWy6s2RFJRSkFKSkFK\n1cZ5+rzKeV5F2udk4cTV42okfkII0Y68POTnq/5mXuTkPH9dUKB6rVC8YfvW1rCxgY0N7O1V\nQ252drCzU110cEBjKJxKGiI1id2vv/76yy+/lJeXr127du3atVVveN1dqES3WCyWBd/Cgl+r\nX/Sys/HHtvx/9uel5eWBlweDfBjm2Lvlunvlm9rmpRYmpxSkCCSCivsl5ZIH2Q8eZD94qR02\ni93MrFkru1ZtHdu2c2zn4+TT1rGtsQF90yKE6EBZ2fOZ0Lw81evc3OdpHPP3G2ds+vqwsnrh\nT0UOZ2sLe3vVa5q7JPVETWLn5eX1wQcf1HBD/R3kVVlsbKyidv8ns7e3t7Oj2mmaYWeHnxZZ\nLf3e6uJFj02bcOYM5HJkxSDrJMzMMHcuvl8DkbzwWf6zlIKU5LxkZiSPeZtVnFXRjkKpSC9K\nTy9KD0sKY66wWCx3a3cfJ592Tu3aObZr79y+hU0L2mZLCKkjpVK1ao3J23JzkZeH7OwXLpaU\nvGHjPB6srZ8nalZWsLR8OYF7G+rfkgaucRwpZmJiIhTWdEpVhfoYQWxcR4rVn7Q0bNuGbduQ\nnq660qYNNm/Ge+9Vc7OkXMLkeSn5Kc8KniXnJSdlJd3PuP+qRX58Lt/bwbu9c/t2jqpUz9KI\nNuUSQl4mlyMnR7Wgjfk7K0v1d3o6cnJQY1nS6nG5zzO2iqSNeWtlBRsb1fUGXxyCaE8TOVJM\nqVRmZGTIZDJnZ2ctb0G9e/fuxo0bN2zYACAgIMDW9pUnir7zzjtajOvt4uSEpUvxww84cwb/\n93+4cweJifD3x4wZ+PVX1d6oCjx9Xmu71q3tWle+qFAqnuY9jUmNiU2PjU2LjUmLeZL7hNkL\nLJKKbiXfupV8q+JmR3PH3m16D2o7aIDXABsTdTu+CCFNiESCZ8/w7BmSk5Ge/jx7y8x87YJt\nHM4Lq9kqpkTt7FTX7e1pjI00KbUasQsPD//xxx+vX78ukUgAGBgYdOvWbeXKld26dav/CJ+b\nOnXqzp07b9++3alTJ232SyN2VclkWLcOS5aoKpU3a4aNGzFmzGu3U1pWGpcRF5MWE5sWG5se\ney/tXkFpwUv3sFnsTq6dBrUdNKjtIL/mfhx2Iyi+QwipDSaBS05GcvLzF8nJyMx8jUbs7GBr\nC2dn2NrCyUn1ltmFwKRumqguT8gLGvKInfrEbvfu3ZMnT2axWN27d2/dujWbzX748OG1a9cU\nCsW+ffsmTJignUABnD17dujQoZTYNRxPnuDTT3HxourtiBEICoKTU53aTCtMYzK8m09vXkq4\nxFRyqWDBt+jv1Z9J8pqZNatTT4QQLcrNRXw8kpLw9OnzNK42CRyHA1tbVYEPe3vV346OsLNT\n/U27EIj2NeLELicnp0WLFhYWFv/++6+3t3fF9YSEhEGDBhUVFT1+/Nja2rr+4wSAjIyMjz/+\neMOGDa1atdJOjwxK7Gq2eze++gp5eQBgaoqVK/Hpp6+shPla5Ap5dGp0SELI6ZjTEY8jKgo4\nM9xt3If6DB3WfljPVj0N9Aw00B8h9U+hQHIy4uKQkoIBA6Ddb2ZaIpcjORmJiUhIQFISEhKQ\nkICCl8fiX6avDycnuLrCzQ1ubmjeXPXa0RF6r7FoiBBtaMSJ3enTp4cPH3769Omq5279+++/\n77//frUfNTGU2KmVl4d587Bnj+rtu+9iyxZU+kVAA7JLss/fP3/+/vnghOB8YX7lj0x4Jn09\n+w7yHjS8w3AaxiMNilKJp08RH4+4ONXfCQnPj1o3N8eJE+jVS6ch1plYjKQkJCY+z+QSE2uq\nx8skcEz25uqK5s1VL5yc0BgOOSIEaNiJnZrfg5KSkgBUO/XJXExKSmryiR1Ry9oau3cjMBCz\nZuHpU1y/jo4dsWABFi6EgYaG0uxM7aa8O2XKu1MUSsXdlLshCSEh8SFXHlwpl5cLJIITd0+c\nuHviywNfjusybvHQxa1sm+IwCGnwlEokJ6sSOCaTS0io6ZD1oiIMHIhduxAQoMUo60wsRlQU\nbtxARATu3sWzZzWVfLO2hqcn2rRBmzbw8oKHB1xcKIEjpB6pSezc3d0BxMfHN2v28kBIfHx8\nxQ2EABgwAPfv48cfsX49pFL89BMOHcKWLejZU5O9MHspOrl2+m7Qd/nC/NDE0JCEkLP3zqYX\npUtl0t0Ru/fe2Dum05ifRvzUxr6NJjsmpDpFRbh8GZcuITJSTRpnbw9vb3h5qf5+9AizZqGs\nDBMmID0d8+ZpMejXl5yMiAjcuIEbN3D3bvUlRdhsuLo+T+A8PeHpCSsrrcdKyNtNzVRsenp6\nixYt3N3dL126VDm3y8rK6tev36NHj548eeLg4FD/ceoSTcW+rjt3MH067t4FABar+noomqVU\nKiOeRPzy7y9n7p1h/klz2JxxXcYtfH+ht4NGp4QJASQSXL+OkBBcuoSoqOqrb9jZqRK4tm1V\nyZxllcqMly5h9GhVvdyvvsLq1ZpZnKoRIhGiohARocrnsrKqucfFBX5+8PKCpyc8PODhATpg\nkrwlGvJUrPpdsUFBQV988QWPxxs+fHjr1q0BPHz48OTJkxKJZOO3oT3IAAAgAElEQVTGjZ9/\n/rlW4tQlSuzegKbqobyu2PTY1RdW74vcJ1fIAbBYrCHthvw47Mcubl3qvW/SpCkUuHMHly4h\nJATh4RCLX/iUx4OfH9q1ez4mV8uRqpgYvP8+MjIAYNw47NypsdULb+DZM/zvf6o51pgYyGQv\n32BoiE6d0LUrunVD165o6r/UE/JKjTuxA3D8+PFFixYlJCRUXPHw8FixYsUYLfygbgAosXtj\nT55g1iwEB6veDh6MDRvQsmW99xufEb/i3IqDtw5WTu8WD138TnOqX01ez4MHuHQJly7h8uWX\n93VyOPD1Rb9+6NsX3bu/+WBVSgoGD0Z8PAD4++P48fod3q4qMxOHDmH/fkRGVvOpmxvefRd+\nfujaFb6+VFuEaImkXCIuF1f7kVAiLJdXsxqgXF4uLKvmkCqlUlkkLmJet7Jt5WrlWvfwGn1i\nx8jPz3/8+LFSqWzRooXWSpw0BJTY1VHleig8Hr79FgsWaGPK5mHOw5VnV+6N3FvxLWCA94DF\nQxf3aNmj3vsmjVlJCc6eRXAwLl1CSsrLn7Zujb590a8feveGhYVmeiwsxIgRuHYNANq2xb//\n1rUeZC07PXYM+/cjLOyF2WQ+H507Px+Ws7ev90iakiJRkRKqn6pyhbxEXM3BtK/KP2rJzNCs\n5pO1y2RlIqmo8pVicXHlclFl5c9vkMqlFSc9CstUCZNSqSwSFVVtrWrkL+VYCqXipeKjVYMR\nSUVl5S/smhZIBDJFlfHh+sHT5yUtT3KxdKljO00ksXtrUWJXd/n5+P57bN+u2j3n7o4NGzBk\niDa6fpr39Nfzv+4I31EmU30r6dW61+Khi/t69tVG96TxEIlw5gwOHsS5c5BIXvjI3h59+6ry\nOWfneuldIsGkSTh6FACcnPDvv2jbtl46Eotx6hT278f58y8UJWnZEuPHY8QIdOjQyOrGMWmB\nWCqWlEtkCplAIgBQWlYqlUvB5DQKhVypyrEq8ozSslKpTAqgSFzE/BysSGuksue5TqGokHkh\nkoqY7yEyuaoLRsVTpFEw1DdMWp7kbFnX/xs3ssRu2bJlS5cunT59+tatW5nXNTy/dOnSJUuW\n1GOADQAldpoSFYXZs3Hzpurt0KHYuBFubtroOq0wbfWF1Vuvbq0Y2+/WotvioYsHtx2sje5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Arwd+zarzHoeYGKxeDQC+vpg/v+7REUII0TA1iXc6o2cAACAASURBVJ2jo+OaNWsS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\nctddIo0FO1YnBgDYEOwA96D1xn77rVRV/ey8toidEOwAAAQ7wF1owa6iQvb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}, "metadata": { "image/png": { "height": 420, "width": 420 } }, "output_type": "display_data" } ], "source": [ "## Um diagrama de ressonância ##\n", "## Nova sequência de tempo\n", "time <- seq(0, 6000, by = 1)\n", "## Sequência de valores de T\n", "TT <- seq(1, 80, by = 2)\n", "\n", "## Uma matriz para armazenar os resultados\n", "results <- matrix(ncol=4, nrow=length(TT),\n", " dimnames=list(NULL, c(\"R.min\",\"R.max\",\"C.min\",\"C.max\")))\n", "## Loop sobre TT\n", "for(i in 1:length(TT)){\n", " parameters <- c(r0=1, alpha=0.1, T=TT[i], K=10, a=1, h=0.1, e=0.1, d=0.1)\n", " tmp1 <- ode(y = state, times = time, func = RM2, parms = parameters)\n", " results[i,1:2] <- range(tmp1[1001:nrow(tmp1), 2])\n", " results[i,3:4] <- range(tmp1[1001:nrow(tmp1), 3])\n", "}\n", "\n", "## Plotando\n", " plot(R.min ~ TT , data=results, type=\"l\", lwd=2, lty = 1,\n", " col=\"blue\", xlab = \"T\", ylab = \"Min / Max population size\",\n", " log=\"y\", ylim = range(results))\n", " lines(R.max ~ TT, data=results, type=\"l\", lwd=2, lty = 1, col=c(\"blue\"))\n", " lines(C.min ~ TT, data=results, type=\"l\", lwd=2, lty = 1, col=c(\"darkgreen\"))\n", " lines(C.max ~ TT, data=results, type=\"l\", lwd=2, lty = 1, col=c(\"darkgreen\")) \n", " legend(\"topright\", c(\"Resource\", \"Consumer\"), lty=1, lwd=2, col=c(\"blue\", \"darkgreen\"))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Vemos um pico forte! (lembre-se que esta é uma escala logarítmica). A frequência em que esse pico ocorre é a **frequência de ressonância** do sistema, e está relacionada com a frequência natural do sistema (que existe mesmo quando vai para um ponto fixo com parâmetros constantes!). A oscilação externa excita a frequência natural e aciona ciclos de grande amplitude, como quando empurramos uma gangorra (ou gangorra, o balancín)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## E se eu realmente quiser explorar um espaço de parâmetros de 10 dimensões?\n", "\n", "Primeiro: boa sorte. Em segundo lugar, você provavelmente terá que amostrar o espaço, em vez de passar por tudo. O método recomendado para fazer isso são amostras de hipercubo latino ( [Latin Hypercube samples])(http://en.wikipedia.org/wiki/Latin_hypercube_sampling), que usa uma amostragem aleatória de combinaçãoes de parâmetros, garantindo uma boa varredura do espaço de parâmetros. Observe, no entanto, que esse método é uma maneira de amostrar o espaço de parâmetros e fazer estatísticas úteis com ele, portanto, o resultado só fará sentido se você souber interpretar adequadamente os resultados. Dito isso, existem implementações para R e python:\n", "\n", "* [R-Cran pse: Parameter space exploration](http://cran.r-project.org/web/packages/pse/)\n", "* [PyDOE: design of experiments for Python](http://pythonhosted.org/pyDOE/randomized.html)" ] } ], "metadata": { "kernelspec": { "display_name": "R", "language": "R", "name": "ir" }, "language_info": { "codemirror_mode": "r", "file_extension": ".r", "mimetype": "text/x-r-source", "name": "R", "pygments_lexer": "r", "version": "4.2.1" } }, "nbformat": 4, "nbformat_minor": 4 }