{ "metadata": { "name": "", "signature": "sha256:7aa90b8f296344683b06f8d7f57a29b05e31de04452bb715619442c97f677764" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Ecuaciones de Lotka-Volterra: modelo presa depredador." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Introducci\u00f3n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Resulta intuitivo pensar que las poblaciones de un animal depredador y su presa est\u00e1n relacionadas de alg\u00fan modo en el que si una aumenta, la otra lo hace tambi\u00e9n. Utilizaremos como ejemplo en este art\u00edculo un ecosistema aislado y formado por leones y cebras que viven en armon\u00eda, es decir, los leones comi\u00e9ndose a las cebras. Imaginemos que por cualquier circunstancia, por ejemplo, por disponer de mayor cantidad de alimento, aumenta la poblaci\u00f3n de cebras; los leones dispondr\u00e1n de m\u00e1s alimento y su poblaci\u00f3n aumentar\u00e1, pero \u00bfqu\u00e9 ocurrir\u00e1 a partir de este momento? Si la poblaci\u00f3n de leones llega a ser demasiado grande para el n\u00famero de cebras en nuestra sabana, podr\u00edan acabar con todas, provocando su propia extinci\u00f3n por inanici\u00f3n. Pero incluso si el fest\u00edn no es tan grande como para comerse todas las cebras, pero s\u00ed para dejar una poblaci\u00f3n muy mermada, probablemente los leones tendr\u00e1n que pasar hambre una buena temporada y algunos de ellos morir\u00e1n hasta que las cebras tengan tiempo suficiente para reproducirse y volver a ser pasto de los leones. \u00bfCu\u00e1ntas cebras morir\u00e1n en el atrac\u00f3n? \u00bfCu\u00e1nto tiempo pasar\u00e1n los leones hambre? \u00bfCu\u00e1ntos morir\u00e1n?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Ecuaciones" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Las ecuaciones de Lotka-Volterra son un modelo biomatem\u00e1tico que pretende responder a estas cuestiones prediciendo la din\u00e1mica de las poblaciones de presa y depredador bajo una serie de hip\u00f3tesis:\n", "\n", "* El ecosistema est\u00e1 aislado: no hay migraci\u00f3n, no hay otras especies presentes, no hay plagas...\n", "* La poblaci\u00f3n de presas en ausencia de depredadores crece de manera exponencial: la velocidad de reproducci\u00f3n es proporcional al n\u00famero de individuos. Las presas s\u00f3lo mueren cuando son cazadas por el depredador.\n", "* La poblaci\u00f3n de depredadores en ausencia de presas decrece de manera exponencial.\n", "* La poblaci\u00f3n de depredadores afecta a la de presas haci\u00e9ndola decrecer de forma proporcional al n\u00famero de presas y depredadores (esto es como decir de forma proporcional al n\u00famero de posibles encuentros entre presa y depredador).\n", "* La poblaci\u00f3n de presas afecta a la de depredadores tambi\u00e9n de manera proporcional al n\u00famero de encuentros, pero con distinta constante de proporcionalidad (depender\u00e1 de cuanto sacien su hambre los depredadores al encontrar una presa).\n", "\n", "Se trata de un sistema de dos ecuaciones diferenciales de primer orden, acopladas, aut\u00f3nomas y no lineales:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$ \\frac{dx}{dt} = \\alpha x - \\beta x y $$\n", "$$ \\frac{dy}{dt} = -\\gamma y + \\delta y x $$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "donde x es el n\u00famero de presas (cebras en nuestro caso) e y es el n\u00famero de depredadores (leones). Los par\u00e1metros son constantes positivas que representan:\n", "\n", "* $\\alpha$: tasa de crecimiento de las presas.\n", "* $\\beta$: \u00e9xito en la caza del depredador.\n", "* $\\gamma$: tasa de decrecimiento de los depredadores.\n", "* $\\delta$: \u00e9xito en la caza y cu\u00e1nto alimenta cazar una presa al depredador." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Resoluci\u00f3n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Resolveremos este sistema en Python usando la funci\u00f3n `odeint` en `scipy.integrate`. Puedes ver c\u00f3mo funciona en el art\u00edculo [El salto de Felix Baumgartner en Python](http://pybonacci.org/2012/10/15/el-salto-de-felix-baumgartner-en-python/). Para esto usaremos: Python 3.4, numpy\t1.9.0, matplotlib 1.4.0, scipy 0.14.0." ] }, { "cell_type": "code", "collapsed": false, "input": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy.integrate import odeint" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 1 }, { "cell_type": "code", "collapsed": false, "input": [ "%matplotlib inline" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Definimos la funci\u00f3n que representar\u00e1 el sistema de ecuaciones en forma can\u00f3nica para pas\u00e1rselo a `odeint`:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "def df_dt(x, t, a, b, c, d):\n", " \n", " dx = a * x[0] - b * x[0] * x[1]\n", " dy = - c * x[1] + d * x[0] * x[1]\n", " \n", " return np.array([dx, dy])" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Definimos los par\u00e1metros de nuestro problema, las condiciones iniciales y el tiempo final de la integraci\u00f3n as\u00ed como el n\u00famero de pasos." ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Par\u00e1metros\n", "a = 0.1\n", "b = 0.02\n", "c = 0.3\n", "d = 0.01\n", "\n", "# Condiciones iniciales\n", "x0 = 40\n", "y0 = 9\n", "conds_iniciales = np.array([x0, y0])\n", "\n", "# Condiciones para integraci\u00f3n\n", "tf = 200\n", "N = 800\n", "t = np.linspace(0, tf, N)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 4 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Resolvemos la ecuaci\u00f3n:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "solucion = odeint(df_dt, conds_iniciales, t, args=(a, b, c, d))" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 5 }, { "cell_type": "markdown", "metadata": {}, "source": [ "y representamos los resultados en funci\u00f3n del tiempo:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "plt.style.use('pybonacci')" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 6 }, { "cell_type": "code", "collapsed": false, "input": [ "plt.figure(\"Evoluci\u00f3n temporal\", figsize=(8,5))\n", "plt.title(\"Evoluci\u00f3n temporal\")\n", "plt.plot(t, solucion[:, 0], label='presa')\n", "plt.plot(t, solucion[:, 1], label='depredador')\n", "plt.xlabel('tiempo')\n", "plt.ylabel('poblaci\u00f3n')\n", "plt.legend()\n", "plt.savefig('evolucion_temporal.png')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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hscErdg5QqtFhRuzU3HLR4TJ+hnmBspo2JMeGTCljNSosgO/PC2g7ejBkMiFi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"text": [ "" ] } ], "prompt_number": 7 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Otra forma interesante de visualizar estos datos es ver el n\u00famero de presas en funci\u00f3n del n\u00famero de depredadores en lugar de a lo largo del tiempo, es decir, podemos visualizar su mapa de fases:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "plt.figure(\"Presas vs depredadores\", figsize=(8,5))\n", "plt.plot(solucion[:, 0], solucion[:, 1])\n", "plt.xlabel('presas')\n", "plt.ylabel('depredadores')\n", "plt.savefig('presas_vs_depredadores.png')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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9rxZW430mz8lMzg7Kb0X+DQseJrb3rUDu6a079h71eg15TF//7ipjxYcuXbqUhIQEHA4H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\n4tDxjAKfXzK+J3VrVPZyVd5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"text": [ "" ] } ], "prompt_number": 8 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Vemos que se trata de una soluci\u00f3n peri\u00f3dica en la que, como dec\u00edamos al principio, un aumento en la poblaci\u00f3n de cebras va seguido del aumento del n\u00famero de leones. Un gran n\u00famero de depredadores merma la poblaci\u00f3n de presas y a los pobres leones les toca pasar hambre una temporada. Otra forma interesante de visualizar estos datos es ver el n\u00famero de presas en funci\u00f3n del n\u00famero de depredadores, en lugar de a lo largo del tiempo, es decir, podemos visualizar su mapa de fases. Podemos pintar tambi\u00e9n el campo de direcciones de nuestras ecuaciones usando la funci\u00f3n `quiver`. El tama\u00f1o de las flechas se ha normalizado para que todas tengan la misma longitud y se ha usado un `colormap` para representar el m\u00f3dulo." ] }, { "cell_type": "code", "collapsed": false, "input": [ "x_max = np.max(solucion[:,0]) * 1.05\n", "y_max = np.max(solucion[:,1]) * 1.05\n", "\n", "x = np.linspace(0, x_max, 25)\n", "y = np.linspace(0, y_max, 25)\n", "\n", "xx, yy = np.meshgrid(x, y)\n", "uu, vv = df_dt((xx, yy), 0, a, b, c, d)\n", "norm = np.sqrt(uu**2 + vv**2)\n", "uu = uu / norm\n", "vv = vv / norm\n", "\n", "plt.figure(\"Campo de direcciones\", figsize=(8,5))\n", "plt.quiver(xx, yy, uu, vv, norm, cmap=plt.cm.gray)\n", "plt.plot(solucion[:, 0], solucion[:, 1])\n", "plt.xlim(0, x_max)\n", "plt.ylim(0, y_max)\n", "plt.xlabel('presas')\n", "plt.ylabel('depredadores')\n", "plt.savefig('campo_direcciones.png')" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stderr", "text": [ "-c:10: RuntimeWarning: invalid value encountered in true_divide\n", "-c:11: RuntimeWarning: invalid value encountered in true_divide\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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qhUqlgkQigdVqZTzzJ0kStbW10Gq1kMvlrBLGiouL0dDQgHnz5sHj8TBOptq6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\nzp49S0hICO+99x6Ojo7U1NRQW1tLTU0N3bt3F5TCycnJ4erVqzrp3ur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VaHD2qqmpwdTU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BpBEAtFkSpNBUR6H8rU74/5Zn5WZubdF6MJey3WCmHe8b47791z7yl7o3379kSKZV/Cv5Hf+nvF\nh3NN52mzpqYGysrKtKzfZWVlUFVVpeXQlZOTAz09PVr8QXJyMlq1aiXXPX5122NjYwMbGxukpKRg\n8eLF6NKlC7p06YJFixYhOTmZeJDfEnQ57NraWlq+bEkojQ61LjoctkgkAofDQXV1NXF1NpfLpcVh\nl5WV4cmTJ7C1tSU6qefk5CAxMRGvXr1C//79Fb4+t6gSAOC7oA/OnTuHgIAAzJ5dv9xefSgtLcXc\nuXNx9OhRKcUoFVy4cAEHDx5EZmYmduzYQekkeuXKFZw9exZ8Ph8GBgYKn/Srq6uhrKyMU6dO4eHD\nh0hISJDykzfg7wed2cw3b94QtTp9iNLSUpw7d44WWwwGA15eXuDxeMS2lJSUsHz5cqI24gWuYu3s\nknIO1q9fT8ycBojXqN27d8v1fcqMU3C5XOTl5Ul/z8/Pl5tGjQ48e/aM8rUikQiBgYHg8Xh4+PAh\nUb9cVFQUEhMTUV5erjBTzofg8/k4fPgw+Hw+oqKiiChFr1+/jufPn6OqqgppaWmU7bx9+xahoaFo\n3LgxHj9+TNkOAGzatAnx8fEoKSmh3LMKiB3S0aNHoa2tjYyMDMp20tLSMHv2bJiYmCApKUnh6z19\nbgEAOGV58PHxgbq6ulyMRF8Dh8NBUlISmEwm5e+suroaR44cASBmS8rOzlbYRkJCAvbu3QtXV1f8\n+eefCAgIUDi1oqGhAScnJ7Rr1w5GRkbfnWDHv/10fenSJTx9+pQWW02aNMHEiRMpk6Z8ONe6urq4\nevUqtm3bRrS+AeIuouzsbCxbtoyYr0NTUxPZ2dlYvXo1ZUc71VnMvDn191BERkZi+/btxBsnIyMj\nXL9+HZcuXZL5WZkOe8qUKdi4cSO8vLzg5eWFjRs3YsqUKUQDVAQkORQGg4HU1FQIBALExMQQhS+0\ntLQQFRWFmJgYohOEkpISEhMTAYjbskjuT0lJCSkpKQgLCyNihDMyMsLTp09RVFSEoqIiynYASMkl\n4uPjiarymUwm8vLykJSURNSLX15ejtraWhQXF1PSwn7zXkz8IHGuOjo6RHn++/fvS1nlhgwZQsnG\n+fPnoaSkBB8fH5w7d45SNENLSwv37t3Dxo0bYW9vT5vOewO+jsLCQmzevJnSxvFL6N27Nzw8PLBk\nyRLk5+cT2dLS0oK1tTWmTJmCQ4cOEbF3AWIK39OnT2PJkiWorq4msmVra4uHDx9i8eLFxDoWrVq1\nQnh4ONavX0+8mTAyMkJQUBCOHj1KZEfSIeLn54dHjx7V+1mZDrtjx47YvXs3PDw84OHhgd27dxPz\neysCEt5uQPxlA+TUpBYWFlBRUYG+vj4xpaiEREDedoKvQVL17uTkRIl8QQI1NTVoampCV1cXw4YN\nIxpTo0aNwGQyKUtHSiApUlm+fHm91LWyUFFRAQaDgc2bNxOlDtLT02FsbIz9+/dTnuuKigq8fPkS\n+/btw7Rp0yjl+fh8PlRVVXHr1i0pRSIVmJub/+uFP0i5xPl8vkIUlrKgr68Pc3NzDBs2DGPHjsW1\na9eITo1GRkYYM2YMbty4gUGDBuHs2bNE4xsxYgQEAgF2796N/fv3K3Ry/HSuJTwdkZGRuHbtGtG4\nJC2d6enpxBFACQvj+/fv6xWdkgfNmjUDIFYDI0knNGnSRKreJ4t+Va63PS8vD7m5uXjz5g0iIyMR\nFhZGeXCKgjQfJnHY3bt3J7KjrKwMa2trODo6Elc8tm7dGgYGBtKxUYXkxDhq1CgiO4CYU9jFxYU4\nrKmjo4Nhw4Z9tfFfXjCZTAwaNAg9e5IJx1dWVmL27NnE339FRQUOHjxI1C8tacFzcnKibENJSQmT\nJ08m2sQ0QD6wWCwcOXIEDg4OmDlzJnbu3ImgoCAiJz558mT06tULsbGx2LBhAxISEojGOGvWLLBY\nLHC5XCK9d0Ac1m7WrBl0dHTQqlUrosIxW1tb9OzZE2w2m7gzo0OHDpg0aRKqq6uJi2I7dOiAX3/9\nFXl5eZTbfN2GiDcQzs7D4e7ujpqaGqIDE4vFwqZNm9C2bVuZ/k4m01lAQABCQkIQFhYGJSUl3L17\nF1wul3ghlQd0UJNqamri3bt3lAqOPkVhYSEcHByIq7tVVFSgpKRETAairKyM9+/fY8SIEUR2APEu\n0dXVlbgl5PXr1xg/fjyxQ8nOzoaLiwtxkV91dTVGjRpFefE5eEWc09vn5UFckGdoaEhL9XwD5AOp\nfgCDwUCPHj0gEAhw7NgxPH36FCUlJRg3bhzl6ASDwUD37t0RGBiIRo0aITc3F3379qX83uno6EBD\nQwN9+/bF+vXrMWDAAMpdPCwWC7169UL37t2xevVqDB48WO7C2E/nmsVi4aeffoKpqSm2bduGMWPG\nUD4MaGpqokePHqipqUFQUBCGDh1KyQ4gpitu27YtHj58iOrqakprcI/2pjh0NQZqWnqY4dIfu3bt\ngqOjI1H3lKmpKTQ0NHDu3Dn06NHjqwcemUfFp0+fYt26dWjcuDHmzZuH7du3E+ckvjXc3d1psdO/\nf3/iRQAAjI2NiaU1JZg5cyYtdn7++WdaKuBHjRpFrLAGAEOHDiXatUrQp08fWnpASTeODfg2yM7O\nxs2bN7Fv3z4sXboUo0ePxpkzZ4hszpw5E1u3boW2tjYqKyvRp08fnD17lnLxrYmJCf78809cu3YN\nlZWVGD9+PN69e0d5fB4eHpg8eTImT54MDw8PIiGQli1bonfv3hg/fjyWLl1KVGCsoaGBwYMHo1Wr\nVti7dy9lO4A44ubh4YGUlBRERkYS2WIwGJgzZw5OnjxJyZdJNv83wlPRqFEjODs7Ez9jAODo6Cgz\neiNzJVNRUQGTyQSTyUR1dTV0dHSIC5O+NZo0aUKLHaqEC5+CyWTSZosOpwaASNf1Q9AVqv23FkH9\nCBrNdLYLUW3H+bQgqKamRi7lp8aNG+Pdu3f4888/ceHCBURFRcHHxwejRo3CkiVLsHfvXgQFBSlc\nvDRp0iQcOnQIN2/exIYNG3D69Gn07dtXrsreL6Fdu3bQ1tbG0aNH0atXL4wcOZJy94nEgXh6esLJ\nyQnTp09HZWUlJVsSLFiwAEwmE76+vnJ9/mvPNYPBwNq1a3H9+nXiNYbNZmPu3Lnw9fUlbqfq1KkT\nLCwsaGGIdHV1xV9//UVc+KekpIQxY8bU+xmZDtvCwgJVVVXo168fVq5cieXLl1NWXvmnsHfvXsp6\nsR8iPT2dSFr0Q5w5cwbR0dHEdqqqqrBmzRpaFtng4GBcv36d2A4ArF+/nvgBBoCYmBj4+fnRMCIx\n9SqVRWPmqI/pcSVtJnRg3759uHfvHrGdoqIiuLm50SJV6+3tTUsf7eXLl/HTTz8p5BwFAgFOnDgB\nf39/REdHY/fu3Rg/fjxsbGzkKqrS1NTErFmzEBkZiTlz5qBVq1bw8/PD7NmzYWlpibdv3+L48eOU\nKoR79uwJBoOBgQMH4ubNm/Dy8iKSjwTEoeNVq1Zh7dq1xMyAEufo6upKTOihrKyMnTt3EhfrAuLo\nlI+PD4yNjYltjRw5EtOnT6eFmGXJkiWwt7cntmNkZISNGzcSa1UAkEnuJPMYI6GFHDhwIDp27EhL\n4v9bIy4ujijvIUFJSQmRIPuHSExMpEXys7y8HC9fviR+gB0cHLBr1y5aHjo+n4+QkBAsXbqU2FZi\nYiJRiE8CkUiEGzduYOTIkXJfU8ERO7/JQz7Ocz169Ihy4dGH/aoSsQZJTzUJDh48CF1dXeIizWvX\nruH69eu4efMmpes5HA5EIhHWrl2LR48eYc+ePXKnWuLi4rBq1SrExcWBwWDA0NAQDg4OmDBhAnbv\n3q3Qgq+iooK1a9di9erVqK2tpb1IT+K46QIdhaOAeAMwefJkWmwZGxvLPeeyet4VZdD7GlgsFm3p\nRBIhEhN9Lbwr/F8Ug66efy0trXr//tUTdmZm5mc/VVVVEAqFRMQR/wToIp6nk1S/traWFlq7yspK\nmV+yvCgtLaUlVF9QUAA1NTVamNxev35Ni3rYu3fvUFtbq1D1+qX74n5ZbfbHTjAyMpKyvOyHePjw\nIfT09IhbF9+/f4/z589j0aJFlG0IhUKkpKRg7dq12LdvH6XNZEBAALZv344hQ4agvLwcwcHBcp1g\nJAphnp6eyM/Ph46ODgwNDREYGCg9YVM9nTGZzI+cNVVikC+htrYWDx8+pMVWfHy8zJYeeUFHxAYQ\nb3L/+usvWmzFxsbSxqQWGhpKi53q6mrKxDO7loo3DZX/v6mPiIgg7l2XB1/1YidPnsSpU6dw9OhR\nrFmzBgcPHsTBgwexZs0a4kbxbw2BQPDdOWy6eMmrqqpoORVHRESgpKSElpz4+/fvYWRkREvYik5+\nc2tra4Wqey+EfN5yw+Px8PTpU8pdEh/m+q5evUpUwQ6IKVz9/PwwdOhQyq10ZWVl8PX1xezZs7Fg\nwQJKYcLk5GTp2jBixAgcO3ZM7s0fk8mEu7s7wsPDERMTg6SkJMTExBBX5X8pr0paSPUhnj9/Tkux\nESDevFGNanyKPXv2EBWxSfD69Wu5oz+yajNCQ0Px4MED4jEJhUJs3bqViLVSgqioKNy5c4fStRam\n4md7zwWxw7969SothDglJSX1/v2rXmzDhg3w8vJC48aN4ePj89EPXYVO8oC0uIDH40lP2CTMNjwe\nDzweD0pKSsQMOXV1dVJecpJdWU1NDSorK6GpqUmcw66pqZGesElslZSUIC8vj1jfWSQSSXv/SR32\nq1evkJCQoHBLVWHpxxWk6enpCA4OhpaWFtGYOBwO9uzZg/DwcKKWvJqaGri7uyMwMBDz58+nbOfq\n1avYs2cPAFAKN1ZVVWHu3Lmora2FmZkZNDQ0aDlt0K2AxOFw8PLlS9qc7JMnT3D79m3iAi9A7PAC\nAwOJ7ZSVlSEuLg63b98mtvXw4UNERUWhuLiY2FZ4eDju3r1LbOfVq1fIzs4mrhQHxKmt0NBQovX8\n8l/J4PF4iIqKouXk/+TJk3r/LvPY+e7du49amczMzGjZvcmLW7duEV0vaUPbuXMn0a4sPj4e586d\nQ0ZGBi5cuEA0Jh8fHxQVFWHfvn0oLy+nbCclJQX+/v7Izs7G6dOnicZ09+5dvH//HgcOHCAaU3x8\nPHbv3o23b99SrqAFxIv1/PnzUVFRgQMHDhCR/9++fRtnz57Fs2fPiCpVi4uLsWLFCnC5XJw/f56S\nDQcHB1RWVkoL6Ui+t5SUFCQmJqK2tpbyeEQikbTAzMjISOHqfJFIhB07dsDR0RHXr19HREQEfvnl\nl++CRe3TvKKkCHL79u3EFJeAeHGtra1FUFAQkZ26ujo8ffoUMTExyMnJIbIVEREBkUhEvG5KbAmF\nQoSEhMj8bH053MLCQiQlJeHRo0dE+gKSMQHkYX+RSCSNKsbFxRHZevHiBaqrq2lx2LKY3GQ6bHNz\ncxw4cACJiYlSNR4qnMxUQZrfMzMzA5/PR6NGjYiqMG1sbFBSUoLi4mJiatbmzZujrq4OWlpaRNGK\nNm3aoKSkBEVFRejSpQvRmJo1awYulws9PT0iAoCWLVuioqICBQUFcHR0JBqTJKTapk0bolSErq4u\n+Hw+2Gw2kYSjZAwMBgPOzs6U7VRUVAAQ07h6eHhQtiNRzRs9ejSWLFlCyUZcXBwyMzOxatUqnDt3\nTuFcsVAoxNq1a+Ht7Q07O7tvpgtMBRIRo4qKChw/fpzIlkAgwPPnz8FkMok7K2JiYsDn86Gmpkbs\n/MPDw6V6BR+KNimKuro6xMbGgslkEuexHz16JH13wsPDiWw9fvwYDAYDjx8/JtrEv337Fvn5+VBW\nViYO1UdGRkJJSUkaEaQKyTNVH2Q67Hnz5sHU1BS3bt3C7du3YWpqSswTrQhIC44kWsqk7Qmqqqqw\nsbFBkyZNiLnEJZSkffv2JbKjrq4OKysrmJmZEY9JstAqUkX9JZiYmEBNTQ19+/Yllv00NTWFlpYW\nxo0bR2RH0oe/aNEiIociYWpavXo15UK/iIgIVFRUgMVi4Y8//iAq8ktMTMTw4Y9clQIAACAASURB\nVMPx+++/U67RiImJwbVr1zBnzhxKNlgs1nfbM/9pXpXNZsPLywvt2rXDtGnTiGzX1NTgzJkzUFFR\nwb59+4jSSGZmZli3bh0GDhyIsWPHEo1r3rx56NChA3bt2kVUI8PlcnHo0CE0atQImzdvlvn5+nLY\nXbt2xc8//wx3d3cibXuRSIRNmzZBS0sLfn5+RA5bU1MTGzduhK2tLX7++WfKdgBg/Pjx6NKlC1av\nXk3EgsnlcrFjx456PyPzTVNRUcGAAQNgZ2dHXARCBaQ7disrK2hpaaFbt27EY7Gzs0OzZs2IC9is\nra3BZrNpaQVo164dGjduTDxPpqamMDY2RqdOnWR/uB4wmUy0bNkSrq6uRHYAsfN3dXUlLqrT1dVF\n3759iSMjysrKcHR0JG7nqaiowKJFi4ijIubm5pg2bRpR+NnDw4OWgswfAba2ttDR0cGOHTuIi0c1\nNTXRpk0b1NbWQktLi+j9MzU1haamJmpraxWWOP0U5ubm0nsjiZRpaWlBX18fPB6PeONtYmICZWVl\nYlsMBgMmJiZgsVhQV1cnatXT09ODhoYGBAIB8f0ZGxuDxWKBwWAQRUzV1dWhq6tbL/uaTIcdHR2N\nU6dOgc/nw8/PD69fv0ZAQABWrFhBeWDfEiwWCy4uLrS0K9nZ2dGS+1JRUcGUKVNoqe7u0KED8eka\nEJ+sGQwGLYv3iBEjiFMZgHizRcq3DohVkhYsWEBsR0tLC2vXriVanB0cHJCTk4M+ffoQj2fGjBnE\n39e/2Vl/aUMsUSnLzMyUKjdRhSTFVlVVRby+qKmp0VL5DIjXFzoq4ZWVleUu+pV1+GCxWLRRWrNY\nLOJiZADEhch/hy1Z76PMt/XixYvYsmWL9OFs0aIFLUQW3xJ0kKYA4nsnVcSRQBajjbzo2bMn8a4c\nED8odI2JDjESQEy2QHJKkMDCwoJYPQwQ76TpiDKZmprS4ij/zc727wKDwUCHDh1ooeJlMpnQ1NSU\n1iSQQE1NjRaWOoBeh00Sdv4QdHTXfGiLDodN55hYLBYtnRGyomUy33gWi/VZsdb3XFjyJVRXV9Py\nxQgEAlpO2IC4qIOOl4rBYKC8vJy4rSsiIgI8Ho+WXTCTyUR5eTnxS8VgMMDj8YgXRMnzyuFwaFkU\nhUIhSktLKc35p7m+mpoa2jSX6ZhzQJxLo8MJAWJiHzrmXCAQoKSkhEijWQJbW1viamwJmjVrRsvJ\nmM1mE0vbSiDRpCeFsrIytLS05JpzWX3YbDabmIVPArrailVUVGgRPALE0Tc6ajmIHbapqSnCw8Mh\nEAjw/v17HDt2DFZWVsQD+5ZYuHAhMjIyiO3Ex8fTxiG9bds2yk37H4LD4cDZ2ZkWLvGLFy9i9+7d\nxHYAsUIaHTSu0dHRtCmSrVu3DteuXSO2U1FRQQsHMQCcOHECW7ZsocXW0KFDaSFviIyMhIuLCw0j\nAubPn0/U3idBTk4OcQ2CBN7e3li4cCEttsLCwmhJSTk6OhK3i0rg6+tLXLwGiB1/dHQ0LQe0qVOn\nYuXKlcR2AODSpUu0RDq7detGGwmYl5cXUeeIBLLYIWU67OnTpyM7OxvKysrYvXs31NXVMXXqVOKB\nNeD7goODA60qTXRBJBLRFtGhy5ZknqjY+jTXRxdtLiA+hdLR/8zlcmmr/K6pqaHlFJObmwtjY2OF\n5vxredUfLUL4I4AuLu0G1I9630qBQICtW7fCy8sLkyZN+lZjaoACIHEeX8L35hwB+sZEl3Ok28nS\naYsOR8vn82kLz9JFwfv+/fsGTfIGfBPQtXbx+XzaWx7rXSkkpep05dga8P1CwpBEJ+g6zdK5iaAD\nQqGQ8pg+zfXR7bDpOGHTzZlPh1KW5IStCH4E7fEfFZ++S1Tnmi7Bk/DwcFre75CQEFqKqhMTE3H/\n/n1iO59C5kqhqqqKX3/9Ff7+/jh27Jj051uBNPcsYYPKzc0l0q4tKipCfn4+RCKR1CZVpKSkgMfj\noby8HNnZ2ZTt1NXVSfPESUlJRFWKeXl54HA44HK5xLnnuLg4iEQi5OTkEM15Xl4e3r9/D5FIhPj4\neKIxxcfHS+c8KyuLsp3q6mokJSWByWRK75MqkpOTUVlZCS6Xi5SUFMp2AODZs2fg8/l48+YNUcFY\nRkYGcnJywGQyiec8PDwcHA5HysZHFQ8ePEBCQgKaNGlC9N01AAoX7n0J6enpxFTIIpEIZ86cIdZd\nF4lE2L9/P65fv068sb969Sr++OMP4r7sxMREeHp6wtTUlMjOlyDTYXfv3h0uLi5o27YtWrZsKf35\nVnj9+jXR9Tdv3kReXh727t1LRE2qrq6OPXv2IDMzk5iqLyEhAZGRkTh27BhRVa+qqqq0SGzfvn1E\nJzULCwucOnUKt2/fJt4kXbx4EXl5ediyZQtRr7m6ujq2bNmC5ORkBAcHE40pKioK4eHh8PX1JdrY\nqKurw9vbGzweD76+vgovEh/m+goKCnDixAlcuHABb9++pTwmAPD390d5eTlWr15N3N+/ZcsWhIWF\nEUtHBgQEICMjA8uWLSN693JycnDx4kX4+fkpdPr5N+VVuVwuUYdKUVERfvvtNxw7doyyY+PxeNi/\nfz9Gjhz5GT+CInPN4XCwdOlS/Pbbb0QkRFwuF2vWrIG/vz/xd33y5El4e3vD1taWyPEnJSXB09MT\ntbW1xH3+X4LMFb5Pnz7o1asXmjdvjhYtWsDBwYEW0gd5QcoG1b17dwBi0hOSMN+HPNQSm1QhqTA2\nMjIiVqKS2CJ9YNu3bw8tLS0wmUzK0pESSMZib29PlMPR0dGRVgY7OTkRjUnCa96iRQuiOWcwGNKx\n/PTTT0Rj6t69O1RVVaGiokL8/UnGNGDAAKKNW8uWLdGsWTMA5PwFknsaMmQIUeGZRGWtY8eORNSW\nPxr4fD4iIiKwYsUKzJ8/n9L6VVZWhh07dqBv3764cuUK5Y6LpKQkjBs3Dr6+vrCxsZHSKyuKN2/e\nYMKECbhz5w7MzMwUVtCTgMfjYeXKlbhx4wYAEOnT37lzBwcOHAAAIqbH0tJS7NixA1VVVbCwsKCt\nDuRDyHyzY2NjsWDBAhw/fhzHjh3D/PnzERsbS/tAvgZS4oxOnTqBxWIRO1lAzEeurq5OzL5lYmIC\nMzMz2NvbE4dxJM6V1Mk+efIEPXr0QIcOHYjn3N7eHkwmk1j8AxCTp2hraxO39FhYWMDY2JiYvx34\nn3Ps16+fwtd+mOtTU1ODvb09evXqRXQCBf7HS09FHvNDSDYk1tbWxDz+kkWUlJ/e2toaTCYTM2bM\nUOh9+Sdz2JWVlUhOTsbdu3eRmJio8PXnzp1Djx494Obmhr/++gubNm2itPl9+PAhDh8+jOrqaixY\nsIAy17WmpqY0uuHu7v7Z3+Wda3NzczRv3hzq6uoYNmwY5fVPWVkZffr0gYGBATp06AA9PT1KdgDx\nuq6iogIbGxvY2dlRttO4cWNYW1ujS5cuRHbqg8wn4MSJE/Dy8oKRkREAcV7x999/J+ac/lZgs9mw\ntbVF165diW11794dCQkJtOyc7O3tiaMHgPhk3KZNG+KTOiBeYAsLC4nt6OjowM7OjngTAYgddlpa\nGnERFIPBgKOjo0IOu72lAeLTPw/Bdu/eHR07dqSF9czJyYmW56l58+awtbWlZWPq5OQkfd9JYGpq\nCjs7O+LoiLq6Onr06IHRo0cTj+nvRnBwMH799Vdp7Yarq6vCffYikQjV1dUoKioCi8XCvn37KOVV\n6+rqEBgYiPbt26Oqqopyp49IJMKuXbtgZWUFW1tbDBo0iJIdQJwnTklJwalTp4iiLsXFxdi2bRu2\nbdumcDHipzhw4AC6deuGNWvWKCzqM7CHhfS/c3JycOPGDZw9e5ZoA1EfZDpsDQ2Nj15eQ0NDWqo+\nvyXc3Nxoobg0MTHB+PHjaRiR+HRGh5NVUlIiVqECxOHL8vJyIi3sD+Hp6SmTBEAeWFhYYOLEiTSM\nSHzSa9u2rdyfH+HY+osOW01NDatWraI0hk9D33369KGNbWnjxo20OH8HBwfayJG2bNlCy5h+++03\nhdvDFEkzxMTEIDo6GlZWVrCyslK451soFCI0NBQnTpyQOutVq1Zh7ty5CtkpKirCsmXL8ObNG/z+\n+++orKyktAmrrq7G7NmzAYjzs0VFRZQ3vfv27UNiYiICAgKkabNPIc9cv379Glu3bsX+/fsVeg+/\nBB8fHzg5OREfCtLS0nDjxg1cvHhRoehDalYxAGDV1P/d98GDB+Hs7Py3FJtJwBDJKBk8dOgQiouL\npbnSx48fQ09PTxoWpmNH/zXcv3//hznJN+Dfh5paHnrNOIYQv5/RROfH2qQ2oH5wOBxkZWUhOzsb\nWVlZSE9Px6lTp6R/t7S0xG+//SbTEdXU1ODSpUs4evQo6urq4OHhgerqarRq1QrDhg1TaEyhoaH4\n9ddf0a9fP6xfvx6qqqrS1lpFUFlZiZkzZ4LNZsPf35+IEjQoKAje3t64ePEizM3NKdvhcrmYOHEi\nfvrpJ/zyyy+U7QDiMP+6desQGBhIdBATiUSYM2cOOnbsiLlz5yp0bc9pR1HL5SP2tHhTlJqailmz\nZuHy5ctSOV+qiI2N/Wq6TWYOm8fjQVtbG0lJSUhKSoK2tjZ4PB5iYmIQExNDNLBvhdu3b6O4uJjY\nTkFBAS10ooB440MHdSefz8eZM2eIOaQjIiKQmpqKsLAw4jEB4hc9NzeX2E5xcTECAgJoGJG49enZ\ns2dyf15dTXwiOX37Y6EIkUiEo0ePoqqqSuExfJrry87OJm5tkeDOnTt4/PgxsR0+n49NmzbRkh55\n8+YN5s6dS0u/ra+vL0aOHInNmzfjzp07KCoqwoEDBxAcHPzFVqX68qrdunXDxIkTsXfvXjx//hyN\nGjUCm82GjY0N9uzZg5CQELlOjcHBwbhy5QqWLVuG8PBwzJo1C7/88ovCzlokEuHcuXPw9vaGj48P\n2Gw2lJSUKEXO3rx5AxMTE+zfv5+Yvzs5ORl+fn4ynbWsHHZxcTHatWsnPfWToKSkBGvWrCGOmtbW\n1sLU1JQSc2ct9+P1trKyEvPmzSN21rJa7mSGxEl3Q98DAgICYG5uTjyZ+fn5OH/+PHFhDyDeTZub\nm6N169ZEdphMJvz9/TF06FBiUvy0tDTcvXuXOOcIADdu3ICysjJxfkkgEMDHxwdjxowhZg1KSEhA\ncnKywtroJ4LisNC1h/R3BoOBW7duwdjYGEOGDCEaE5PJxObNmzFgwADivFdZWRm2b9+O27dvE4Wh\nWSwWOBwOpk6dioCAAKKCOF1dXTRu3Bj9+vXDqlWrMHnyZFRVVVFKl0yePBmWlpaIiorCnj17kJiY\nCFVVVXA4HPTs2RMbNmyQu+o4Njb2I2fG4XDg6OiocCHoyJEjMWrUqI/+H5XQM4PBwMGDBxW+7kto\n3749du7cSYsturQTmjZtio0bN9Ji69P5pgp1dXWsW7eOFludO3empYNB1rMn84Sdm5sLb29vLFmy\nBADw9u1bXL58mXhg3xJ0aZXSJVsHiGsD6FLG0tLSIlZXcnBwgJ6eHhHBxYcwNTUlIoWRQF9fHxoa\nGsR9yoD4paIrKtS/f3/cu3dP4es+PbWZmJjAwcGBlijChAkToKmpiRMnThDZYTAY2Lx5MwwMDDB3\n7lzweDzKveva2trYsmUL/vzzTxw5cgTjxo3DunXrKEWqDAwMMHz4cHh7e+PWrVt48uSJ1DnGx8dj\n5syZOHHihHSs9Z2QPz15stls9OzZU+ETbQMvuRj/pp737xkyHfbBgwcxceJE6enGzMwMjx49+tsH\nRidYLNa/1mED4qpsOorF6HbY7969I7bDYDBgZWWF1NRUYlvW1tYoLS2lJVTfv39/hIWF0aIX7O7u\nTktag8lkYsOGDdizZw8KCgpQWVlJ2ZaSkhL8/f1RVlaGlStXwsfHh4ghq1u3bggODkabNm1w+fJl\neHp6Ii4ujrI9QLwZCA8Px9u3b5GSkoLIyEhMmTKlQSe8AX8rwp+LDw9Bvt9eX0Pmk11XV/cRYwuD\nwaCFr/hbgslk0iIu/r06bG1tbWJN7IiICOjr66OkpAR8Pp+YvtDExAQ5OTm06DO3atUKqampxFrk\nKioq6NChA2JjY1FSUkJky9LSEo0bN8ajR48UYuP7Uq6vZ8+e0NDQwNmzZ4k3w3Z2dhgyZAgWLFhA\nHBZVV1fHjh07EBQUBH9/f0RGRhLZU1ZWhr6+PiwtLVFbWwsPDw+iTR2bzYauru5XUyUNXOLfDv+l\nuV64UxwdMtZXrAWMDsh02Nra2sjLy5P+/uTJE9oExOVBSEgI0fUXL15EZWUlgoKC8ObNG8p2qqur\nERAQgJqaGuzbt4/IocXFxSEhIQEpKSm4ePEiZTuAmHpVMjYSQhuhUIgrV66AyWRiyZIlqKuro2yr\nuLgY0dHRSEtLw6ZNmyjbAcRFL/n5+bh9+zZxju/Zs2cQiUTYsWMHbt68SWQrMjISWlpaWLRoETGR\nUGxsLNTV1bFx40a8fPlS9gX1oKSkBG/evMGTJ09oiYTl5eVJe4D9/f2JbLFYLCxevBihoaGIjIzE\nwoULcfr0ado2wQ1owPcKOiJxgBwOe9q0aTh8+DByc3Mxe/Zs3Lx5EzNmzKDlH5cHpIU4TCYTBQUF\neP78uZRykQo0NDSQlZUFPp+PiooKotxVy5Yt8fTpU2RkZBBvfrS0tJCZmYno6GhYWFjIvuArcHR0\nRGlpKYRCIfLz84kkEZs0aYKMjAzieQLEfdgJCQnIzc2lzNIkgZWVFdLS0lBQUCB30dOkwe2/+P/b\nt2+PoqIi1NTUKBS9+VKur2PHjlKn+OHmmAp0dXWxceNG6OnpIS0tjTjF4ejoiJCQECxevBhPnz4l\nFgSRwMzMDFOmTMGKFSv+FgpHoCGv+i1Bx1zTobZVUVFBLKQjEonw8uVLnD59+rMIIZcnTq3atZZN\nLMTn8/Hw4UOsXr2aOKInwVcd9o0bN3Djxg1ERUWhY8eOGDNmDAYMGIBu3bop1BpDinbt2hFdL6FH\n7Ny5M3EoX8KhTtobrqWlhR49xFXHpJSbPXv2ROPGjdGsWTPiNoexY8cCAHHlOvA/+kJSchgVFRUp\n/zEp+1ajRo0wf/58AJBbIGPRRPH3FBj28SKgra2NzZs3AwBxuoXFYsHX1xetWrUidtiAOFd/+fJl\nNGvWjJZ3VU1NDUuWLKFMs9mAfycKCwsRGRlJOUIiEAiQkJCA48ePY+XKlZSf/dLSUly7dg0LFy6E\nq6srZcKmgoICnDx5EhMnToSnpye6dOnyWbqlh8cRAMCRtSO+aqe8vBxnzpzBxIkTsXbtWnTv3h2G\nhoaUxvQpvuqwa2pqUFtbi8zMTISEhKCqqgrV1dW4d+8eMjMzafnH5QEpJaWRkREsLCxooSbt3bs3\nmEwmLeX7AwYMgKmpKXEEQUlJCYMHDybe2ERERMDMzAw9evSgxWH37t1bKhhDitGjR6Np06Zo2rQp\nsa0JEybA0tJS7pdaiSV+RTYe/rw/3dHRERMmTFCooPFruT4tLS0cPHiQKBXxIczNzXH58mXamOsA\ncWTI1dWVNnt/N/5LedX6UF5ejri4OAQHB+PEiRPw8fGhlBLicrk4dOgQPD090b9/fwwdOhTV1dVQ\nUVFReK6Dg4PRv39/TJ06FUeOHMGkSZMovd8FBQWYN28efv/9dzx79gxeXl6UWklFIhFu376NAwcO\nICsrC3PmzEGbNm2++vn6Ioe1tbUIDAxEfn4+OnXqhBEjvu7cFcVXG1snTJgAAFi/fj18fHyk9Inj\nx4/H77//TtsAvgUcHBxo4e3W1dXF8OHDoa+vT2yrZ8+eSEpKIrYDAM7Oznjx4gUttsaNG0cszwiI\nUxFubm60OGxlZWXMnDmTFn5rJSUlrFy5kpZ7BIAVK1YgKiqKFlvm5uaUKU+/BAMDgx/Kwf4bwOfz\nkZCQAH19fejr6xOF+y9fvowrV65AIBBAIBBAR0cHy5cvV5g2lsPhYP78+VLK1BkzZlDiD+BwOEhK\nSsKjR4+gpKSE7du3U1Ju5HA4SExMBIfDAZPJxJYtWygJKgmFQty/fx95eXlQU1PDjBkzKDNvJiQk\n4MqVK7C0tISuru4X35vcInHXRf9uX5eXrq6uhq+vLzQ1NWFpaYkVK1bQ2vonk5p04cKF2L59u/TB\n43K5WLZsmVSHmSqEQiFWrlwJXV1drFy58oufoYuatLKyUmFS9/+qLT6fDx6PRwu/dV1dHVgsFjHh\nCSAu2mAymbR1KPD5fLnH1clNXOwmoSH8FCKRqKEf9wdHRkYG7t+/jy5duqBdu3aUHK1IJEJubi5W\nrFgh7ffX0dGBs7MzFi1aJPcmMT8/H/fv38fdu3elm8F+/frBy8tLIfKn3NxcXLhwAVeuXAGbzUZh\nYSE2btwIZ2dnhe6rqqoKp0+fxpkzZ2Bvb4+srCz88ssv6N27t0J2RCIR7t+/j507d8LKygo//fQT\nhEIhJVGXvLw8bNq0CUVFRdiwYQPS09Ph7Oys8HsoEolw4cIFHDlyBIsWLULnzp2hoqLyxXmWtQ7k\n5uZi1apVMDU1xZo1a1BZWUkpFF4fNanMFcvJyQmrV6+WskNFRUXRwoR169YtmJqaErfqyAO6nOJ/\nwZaSkhItDhb4nJyCKkQiEXFqRAKhUAgmk6nQPfZob4on8Tkf/T8ejyeljiR11jU1NbRtkAQCAS3i\nPLm5uWjatCnxvQkEAiQmJqJdu3bS/miBQEBp45WWlobCwkIYGBjA0NAQmpqa2L9/P3R0dDBixAiF\n3oGrV6+irKwMlZWVqKysRFVVFQIDAyEQCKCqqgpbW1vMmDFD5lqXkZGBq1evSqmb6+rqpIu0jY0N\nFi9eLDchy/nz5xEYGIiUlBT06NEDzs7OEAqFGDt2LEaMGCH3d5GXlwcfHx88evQI/fv3x/79+8Fk\nMsHj8RTWsb5+/Tp8fX3Rtm1bHDp0CNbW1sjNzVU47FxdXY2VK1ciIyMDy5cvR58+fSAQCCitNY8f\nP8a6deswdOhQ7Ny5E2pqarC2tlbYjkgkwvr165GSkgJ/f38iwZv09HQsXrwYI0aMwPTp08FkMv8W\nkSyZJ2wAyMzMRHJyMhgMBi06ucXFxfD398fo0aMRFBT0t5+wV65cienTp3/UT04FaWlpOHz4MLZt\n20Y8pqNHj6JJkybENHsCgQBubm7Yv38/UdFZREQEGAwGgoOD4e3tTTQmAPD29oa9vT0GDBhAZKes\nrAzu7u44f/488QsQFBSEhw8fKvz9CYRCdHU/jAkDbLByirgadvbs2XB2dsbw4cMVshUREfFRRW1+\nfj7Gjh2LQ4cOESsYnTlzBqdOncLevXuJn3U3NzeUl5dj/vz56N+/P5hMJurq6hTehGVlZcHFxQVC\noRC9e/eGo6MjDAwMEBgYiJUrVypU+X/u3DmcPXsW+fn5KC0thbq6OlRUVFBeXg42m42RI0di8uTJ\n0oX307n+ECtWrAAgLj6U/Pj5+UFXVxcjRozAyJEj5VrnEhISEBQUhLZt26Jt27Zo0aIFIiIiUFdX\nhwEDBii04Tl//jy0tbXh6OgoPY2XlZUp/F5zOBycOXMGY8eOJaZjlrDJyarbqW+uAbFzvHLlCoYM\nGUL8HmdlZSEvL09hiuEvITQ0FF26dJEZ/ejy8yEIRaKvCgFVV1cjJiZG4ajDl0B0wgbExSYtW349\nbq8oTpw4ATc3t29yugbEiyIJ65MELBaLFsEOQBySVYRw42tgsVjgcrl4/fo1sWi6gYEBwsPDaQnx\nNm3aFA8ePCB22I0aNYK2tjbu3LmDMWPGENmyt7eHt7c3kpOTFdqRs/7/ZBgQkih12FOnTsXChQvR\nqVMnIl1sQ0NDzJ07F9OmTcOZM2eIWvMmTpyIqqoqTJgwAWvXrsXYsWNRUVFBqWr2+PHjuHr1Kn7/\n/Xfs3bsX8+fPR0BAAHbs2KGQA5EwIyYnJyMsLAxnz55FXFwc+Hw+QkNDsX79egwePFiu523ixIlS\nqdW6ujoUFhbC09MTTCYTbdu2BZvNRlpaGpo1ayYzYuHj4/PR76WlpbCzs0OnTp0UYkpr167dZwWf\nVCOQX8qbUtmEs9lszJo1i9IYPoWkm4UUDAZD2oVCCjMzM5iZmdFiS94cvPD/z7VfU+3T0NCgxVnL\nwjfn8IuJiYG2tjZatGhBS9+dPKCLoUxbWxsVFRW0jNvAwAAFBZ9rLVNBixYtiJ2/g4MDWrZsCYFA\nQAtvd58+fRAeHk4L09n48eOJCWYAcX+4u7s7du3aRWzL3t4eY8aMwYoVKyAQCOR+Jr50Cpk8eTKm\nT5+OqVOnIjs7G2lpaZTGxGQyMXv2bBw+fBi+vr5Yvnw55syZQ4lnXllZGRMmTMDdu3fh7u6O3377\nDaGhoZg8ebLCKl5MJhM2NjaYN28eTp06BQcHB7DZbHC5XHh5eWHdunUKb6hVVVVhZGSE/fv34+nT\np/jzzz+xfPlyDBs2TOqsFekNbty4Mbp06dJAa0oR/+ae9/ErxTz/x9eP/IdHIucJm068evUKMTEx\neP78OXg8npQ5zNPT84uf/zDUImkdUPR3VVVVcLlcytdLfo+PjwePx0NtbS3U1dWJ7BkaGiIjI4OW\n+2vRogUyMzOJ7+/x48cwNTXFixcv0Lx5cyJ7lpaWUFZWxsmTJzFt2jSi+xs0aBB8fHxw7tw5GBsb\nS08wVOy1bt0a586dQ3R0NLKysmBgYCDX9Y525nj4/C3CwsLh5CTeSXfv3h0hISE4fPgwNDQ0pFEo\nKvM1c+ZMJCcnw8XFBaqqqrh586aUQY2KvatXr2LYsGEoLS3F2rVrsXv3binzGZX5v3v3LgoLC/Hq\n1Su4uLjg5MmTUuZARe0dPnyY8vf34e9PnjwBAGk7EKm9ht8bfv/S7xk5pQCAyoJ0RBSk/+3/Xn0p\nA7ly2H8XkpKScP369Xpz2FZWVkQtODU1NVi3bh0GDRqEbt26UWbLEolE2T9S+QAAIABJREFU4PF4\nGDx4MA4fPoymTZtSzsXw+Xy8efMGixYtkktrtj4IhUIEBwfjxo0bmDdvHuV+7IiICPTq1QuHDx9G\nVlYWBg8eTLxr9vHxQVlZGXr27KlwrvdLttLS0tC1a1ciTV0ej4fDhw/j0qVL6Nq162eh0a9BJBKh\n88+HoKaihMhj0wGIOyZOnTqF7du3Q19fH6GhoTKLqerL9V26dAleXl7g8XhYsWIFpk+frtjNfYC0\ntDQcPXoUd+7cAYfDgbe3tzScTBUCgQDZ2dlITU1FRUUFRo8e/V3rCsjKqzaAPvxb51pSGX5+yzhY\nmZHVA8iL+nLY/3j8R1bu6vbt20T2T506heTkZPj6+hKpNDEYDHh5eUEgEGD+/PlEldQCgQCbN29G\ncXExsUZsQUEBjhw5gujoaJw5c4bIVnp6Oq5du4Zbt24RCz0kJycjJCQEt27dIs77Z2Zm4s6dO3j6\n9CmysrKIbHE4HISEhCAvL08h1i7Jc/qhcL2ysjI0NTWhrKyMwsJCYk7xkSNHYsWKFdDR0cHhw4eJ\nxGFatWqFrVu3IjIyEjt27EBYWBjlULsELBYLzZs3x8CBAzFu3Ljv2lk3oAGk+PBd/1bOWhb+UYfd\ntm1babXm10Ba9NC7d29UVVVJZRpJ0KtXLwgEApibmxMRIqiqqkrvi5S608jICHZ2dhCJRJQYfiRw\ncHBAq1atpIxwpG1i1tbWGDZsGAByjuCWLVtKCUWKi4uJbDVq1AjHjh2DlZUVXr9+DQ6HQ9kWg8GA\ni4sLTp06BUNDQ7k0nus7hSgrK8Pd3R0hISFwdnbG+fPnKY9NAg0NDYwcORIHDhwgftZ+NPwbT3zf\nK/6Nc91z2lEAwJPj3047Qxb+8RO2LJiamhJd36ZNG6lTIz0R9O3bF6qqqmjf/suCEIpgzJgxYLFY\nxO03gLhimcViETlsCTw9PaGurk6Zj/dDzJ07lzYnMXDgQMyYMYPYYQPiAqNjx47B0tJSIaGAR0fF\nuXi3dVc++v8dO3bE5cuXUVZWRouMa6NGjbB27VqMHElvkQtdvewNaMC/HcevPwcANNJUgVBAXWmr\nrq4OGRkZCA0NRXJyMvG4vnnRmaIgbS9iMBjo06cPLbSWbDYbffr0gY2NDbEtAwMDODk5EbXxSGBq\naorBgwcTOWxJDkpfXx9Tp04lVsYCxKIRmzZtwt27d4ltAeLNBB0OGxDTzB47dkyhcL26qtjhJb3+\nvEpaT08PW7duBZ/Przf6okiuj7SH9r+Of2te9Z8Eh8ORKtSJRCIpEVFaWppCc83n8xEVFYWqqipw\nOBxUV1dDKBRi1KhRCtcsSehSS0pKUFJSAg6HAw8PD4U1H7hcLo4dO4aUlFd4WCTmEV8wuDEl5cK4\nuDjs27cP79+/h0gkQv/+/bFgwQKF7XyK795h04G+ffvSxjozdOhQ2k6N48ePp62fcOrUqbQxlLm5\nudHS2gUAHTp0oOW0DohzqMuXL6fFFiB2iD179lToGh1NVZRX1aGmjid14BI0nGAbAIjrN0xNTYnT\nSunp6bh37x709fVhYGAg5SfX1dVV6CAjFAqxfft2JCcnQ11dHerq6jAxMcH06dMV7vOW0JJK2jUt\nLCywevVqhWwAYud448YNPH78GABgaWmJ9evXK+ysuVwucnJycPnyZfD5fBgaGmLjxo2wtLRUyI5I\nJEJKSgpSU1OlznqjW2sMH9xHITvA/1TMCgoKIBKJMHr0aEybNo2WlsF/tEpcFuhiOpPcIh18z3Ty\nRjdwUP94kFSLA1/nFG5A/aDzuX/y5Anatm1LvCnMysrCtm3b0LVrV3Tr1g2tW7dWaIEViUSorKxE\nXl4ejh8/jnv37sHQ0BCtWrWClZUVXFxcoKurK9MOn8+XVuKnpqbiwoULUudoZ2eH2bNnyyXJKxKJ\n8ObNG8TGxuL58+d4/vw5ysrKwGKxMGbMGEyfPl3uDUVJSQkiIyMRERGB6OhoKCkpoa6uDm5ubnB3\nd5d7oyoQCBAVFYWQkBBERkbCwsICycnJGDFiBObOnatQXdD79+9x8+ZN3LlzB7q6utDT00NdXR3W\nrVun0CZEIBAgPDwcly9fRlFREar1+yG7RAA9HVXc9Zsqtx1ATNB18eJF/PXXX+jduzfMzMwgEAgw\nfvx4hZ53YqazHx2ZmZkwMjICm80mslNbW4vs7Gxa8s4FBQUQCoXEoXqRSISkpCS0bt2a+IRdU1OD\nN2/eUOLl/RQ5OTlQUlKi5f4iIyPl5mOuD5WVlUhMTCQqZPxwDDk5OcQ1FiKRCGfPnsXIkSOJFcRS\nUlIQExOD0aNHE0eUTp48CTU1NTg6Okq/w6ysLIUjQmVlZfDx8YGFhQUsLCxgaWkJDoeD8+fPY8aM\nGQrNX2BgIMLCwqClpSWlE42NjUVcXBycnJwwfPhw2Nvby+VAFixYgLKyMtTW1qKurg5cLld6MgLE\naaZff/0Vjo6O9dp59uwZduzYgby8PNTW1kJPT09K3FJbW4uWLVti9OjRcjnrzZs3IyQkBKqqqrCy\nsoKVlZWUtW327Nno1q2bXO9Abm4uZs2aBT6fj44dO8LOzg79+vXDxYsXsWTJEoVOnydOnMDJkydh\na2uLXr16YfHixQgLC4Otra1CMrx8Ph9ubm5QUlLCgAEDMG3aNOjr6+Px48cKM8M9fPgQPj4+6N27\nN7y9vWFtbY23b9/C1NRU4TVwzZo1KCkpwdixY2HcsgOmbLwOAAo767dv32Lx4sXo06cP/Pz80LRp\nU3C5XKLi5C/hP3HCdnNzw5IlS4htpaamYsmSJQgKCiIe0+7duyEUCrF48WIiOyKRCEOHDsXWrVsV\nJvb/EBEREWCz2Vi2bBnu3LlD7Py3bt2K8vJyYinWuro6jB49GlOnTpVKvlLFixcvMGvWLOzdu5ey\nDB8AxKfnY8qGa2BVZeKQl6tClLCf5lU5HA6WL1+OpKQkrFq1CgMGDKAsihAfH4+dO3ciNTUVY8eO\nxaRJk5CamgobGxuFddevXbuGO3fuICoqCi1atICjoyMePHiAXr164ZdffpFbrKSiogJXr15FRkYG\n0tPTkZmZCYFAIFVyGz58OGbMmCHXRiA5ORmJiYmoqqqSCnY8e/ZMyvLXsmVL9OvXD9OmTZMSG30t\nrxoeHg4GgwFVVVWoqqpCKBTi119/Rffu3TFw4EDY29vLtdgWFxfj7du3MDIygr6+PpSVlREaGorS\n0lIMGTJEofxnWloatLW1YWBgIHXML168gK2trUKbVYFAgPT0dFhaWkoLbWtqaqCmpqbwpregoADq\n6uoyT+Py1Avk5OTAxMSEeOPN4XDA5/NpqbMpLCyEnp4ehCIRurqLCX1iTs2ipPpVUlJCS91JfSfs\n/4TDnj17Ntzc3Ii5XisqKjBw4ECEh4cT5yuDg4Nx9epVHDhwgMgOIBba0NfXx9y5cynbkBCnjB49\nGosWLaKkc/shioqK4OzsjNOnTyucT/oUz58/x9y5cxEQEECc8w8ODsaGDRtw/PjxegXqZUFCqKCU\nehTr1q3DwIEDweFwZJ6kvrSwSWQHt2zZgjZt2qBfv35gMpmUZAcBcRHOyZMnce/ePfFiJBTC39+f\n0vdQXV2Np0+f4t69e7h+XXz6aNasGTZu3ChtAVQEIpEIe/fuxalTp2BsbAxjY2M0a9YMP//8M5o1\na6awrZMnT8Lc3By2trZo3LjxR39XpOiMw+GAxWJRKjBqwI9f4PdPEKR8DfU5bNaGDRs2fNvhyI/X\nr19LaQdJ8ODBA5iZmRE7DhUVFZw9exaDBw8mLihRUlLC0aNHMWXKFOIdJ4/Hw82bNykv8ICYUJ/B\nYKCmpgZhYWEYPHgw0Zg0NDRQWVmJ+/fvY9CgQUS2mjZtioqKCpw7dw4jRoxATU0N5VCTpaUl1NXV\n4e3tje7du0vFIhSFUCRCbMp7THYZjSP7tiI+Ph6RkZEYOHBgvdd9acPBYDDQsmVLjBs3DikpKdiz\nZw/CwsLQvn17ShsUfX199O/fH9bW1jh//jwqKysRFBQEGxsbhe9VWVlZqlqlqqqKtm3bwsTEBGlp\nadDT04OBgYFC9hgMBtq0aQNPT09MnDgRzs7O6N27N6XTEoPBQMeOHdG8efMvnvgVmTsVFRXaijb/\ni6CrePafgMRZewzviKG9yNOdpHj//v1Xxbb+E08om80mIsiQgMFgwNDQEHl5ecQ9z82aNQOfz8e7\nd++Iw0TdunXD6tWrUVpaCg0NDSId6uHDh+PAgQPIycmBioqKwgvyh/Dw8MDQoUMRHBwMIyMjopC9\np6cnXFxcsHjxYnTp0gXu7u6UbU2ePBn5+fmYPHkyrK2tYW9vr/D8zx3bFYevxuLUvbdY/ssv2LRp\nEwBgyJAhX90dywKbzUa7du3AZrNRVVWFxYsX48SJE5RlN1u0aIH9+/fj3bt3ePfuHa5duwYtLS1K\n9LX9+vWjfF+fgo5QZgMaQAckzrqxthrmu1BPk30rfPfEKdHR0UTXx8fHg8/n49WrV3j+/DmxLR0d\nHdy5cwdxcXFEtlJSUtCsWTP4+fnh5cuXRLZycnJgZmaGhQsXKkS3+SEkxPN5eXlo3rw5fv75Z4VI\nRb6E3NxctGzZEsuWLSOm7SwpKQGbzcZff/2F+/fvE9mqra1FVlYW6urq8OLFC8pjcx0odnxvqxrB\n2dkZSkpK8Pb2Rnl5+Vevkczz1zB8+HA8evQIp0+fhoeHBw4fPoz8/HxK4zM1NYWDgwNcXFywZMkS\n+Pj4UOaa/xEha64bQB9+xLmWOGsAuO8/5R8cifz47h12WVkZ0fXl5eUICwtDUFAQMdNZdnY2Xrx4\ngcDAQOKQ+OvXr5GWloZ79+4RnziKi4uRmZmJhIQE4ntUV1dHVlYWSktLUVpaSmSrRYsW0tM+KZ+4\nkZER5syZAy0tLcTGxqKoqIiyLTU1Nfj6+sLHxwdNmjSRqkcpiuXuvQAAF0LfwsfHB/fu3cP48eNx\n9OhRymMDxOkSOzs7zJs3D76+vkRRjgY0oAGf40Nn/SO1Z373DpukmldyvY6ODlRUVIiKjACgf//+\naNy4MZSVlYlzNkOGDJHmBvX19Yls9e7dGwMGDABAnbxDUjBiYWEBSVlDfSdFeaCuro69e/eiY8eO\nxA4bEI/x/PnzaNGiBUJDQ4lsMRgMODs74+bNmzAzM6MsjOE9py8AYNyKAOjr68PT0xOenp5f5U+n\nUpjT0KtPDT9yEdSPhh9prn9UZw38AA6b9CSrrKyMfv36oV27dsQ9cSoqKhgzZgyaN29OXKDCYrEw\ne/ZsaGhoEPeHA8CyZcugqalJS+HMoEGDMGnSJOLoBiAuPvPz8wObzUZtbS2xPXNzc5w9e5YWzm5A\n/HytXr2assSps4NYUCbzXSmEQrGTVlFRaXCyDWjAd4gf2VkD/5Gis0GDBuHp06e02Bo7diwKCz/n\nkqaCvn374sGDB7TY0tPTw6JFiyg77E/bMhYvXiyX+pQ80NLSgp+fn7QXlBSamprEPdmfgmQz9+DA\nFPSdcwJd3A/JXAR+9PaXHwkNc00/BAIBmEzmZxtSKnOdn58PJpMJNpsNNTU1ytSdHA4HqampUFJS\ngoqKCpSVlaGiogJDQ8OPIo7yOOuEhAS8f/8egDiyJengkERD5UVdXR2CgoLA5XLB5/MhEAigo6OD\nYcOGEa01/wmH3a5dO9oqU5s0aYKpU6fSYovJZGLRokW02AKAUaNGoa6ujhZbysrKcHZ2psUW8O+u\nDNbR/N8m5EJIAlwG/HcKu/4tqKioAIvFoiXaFRkZiUaNGsHS0pJocS4qKsKFCxdgZmaGFi1awNzc\nnHLE8eLFi4iNjYWRkREMDQ1hZGQEa2trGBoaKmSHw+Fg4cKFEAqFaNy4MRo1aoROnTopzEkuFArx\n6NEjnDhxAoDYObZu3Rrz5s1TKNolEolQWlqKI0eOIC8vD4BY2GfatGkwMTH5/39LhC7uYjphg8Zs\n3Nnr9kVbZWVlUjpYQLwGTpgwQeH0J5fLRUJCAqKjo6WaDL169cK4ceOIo7z/CeKUBjRAArp4rL9k\nR7KDV5QpSaJ4RAo+nw8Wi0XL/dXV1X3WHlheXq7wxksgEKC2tvYjR/j69Wu8f/8ePXr0UOi+ORwO\nBAIBVFVVpWkHPz8/sFgs9O/fHxYWFnLfe35+vvT0w+fzUVpairVr18LKykrKJ25lZSWziLOmpga5\nubmoqKhAeXk5Kioq8OTJEzx+/BjKysqwtLRE+/btMWHCBJksWHl5ecjNzUVeXh7y8/ORn5+PyMhI\n1NTUABA7Ig8PDwwcOLDeeeNyuUhPT8fbt2+RlZWFrKwsvHnzRqp0Z2xsDFdXV/z0008yI3JFRUVI\nSUlBWloa0tLSkJGRgerqaohEIhgaGsLNzQ1OTk4yv0eJuEZSUhKSkpKQnJwMJpOJmpoaqKqqYtKk\nSRg8eLBcEcLKyko8f/4cL1++xMuXL1FTUwMDAwNkZWVhyJAhcHV1lVLzvsktw5jlYgfsMbzjZ61b\nmZmZiImJQWxsLLKystCmTRvk5eVBT08Ps2fPlrt9t66uDrGxsYiKisKLFy+gr68PS0tLREVFYdq0\naQrRIf/nmc6OHTuG/v37ExeK5efn49KlS/jll1+Ix/TgwQNwuVxiUhGRSITt27djypQpCu+WP0V2\ndjZOnjyJ1atXEy/6V69eBY/HIw5dCwQCLF26FDNnziSWNX316hW2bduGTZs2EffR//HHHygtLYWn\np6d03nMKKjBiyTkA8ufHuFwuxowZAwcHB4wbNw6WlpZSR6IoH3hwcDB8fX3Rq1cv9OrVC927d0dc\nXBy0tLQU1nCfN28esrKy0Lp1a+nP2bNnYWNjA3d3d7lPVLm5uRgzZgw0NTVhYGAAAwMDaGtr4+7d\nuzA1NcW4ceMwbNgwuU6Ohw4d+uhEpqamBpFIJK2NaN68OQYOHIjx48fLnLvx48ejuroaysrKUFJS\ngpKSEvLz8yEQCKCiooKuXbtixIgRsLe3r9dOREQEdu3aBW1tbWhra0NHRwfV1dWIjo6GqakphgwZ\ngoEDB8pFDbtp0ybk5OTAyMgIBgYGMDIyQnBwsFSwo0+fPnIVlRYWFmL58uUwMzODubk5zMzMoKKi\ngtOnT8PV1RVOTk5yd5MEBAQgOjoarVq1gqWlJVq1aiXlcx8yZIjcRa4ikQjLli2DiYkJ2rZtC2tr\naxgZGeHkyZOYMGGCQuItMTExuHr1KmxtbdGhQwdYWloiKSkJbDb7I8IRnxMRuBAibnM9vWkM2rb4\nvLjX398fANC5c2e0b98eGhoaiImJgZ2dnUKbyeLiYuzatQtdu3ZF165d0bRpUxQXF4PJZH7GwCcL\n/3mHPW3aNEydOlUmkb8slJaWYtCgQYiIiCAObVy/fh3Xr1/HkSNHiOwAwMqVK2FqagpPT0/KNiIi\nItC5c2eMGjUKS5culcnYJQtJSUmYPn069u/fL5e6UH24fPky/vjjD+zbt08h3u5PwePxsHv3bly7\ndg1eXl4YMGAA+Hw+pbx/YWEh9u/fjzt37sDV1RUeHh6IiorCoXslSM0qhpmRDq7tcP3sui/l+lJT\nU3H58mXcvHkTVlZWGD58OM6dO4c//vhDIXEMgUCAxMRERERE4NGjR8jIyICxsTGysrIwceJEzJs3\nT24O8Lq6OmRkZODVq1d49eoVUlNTkZycDIFAADabjcmTJ2PixIlyhZBra2tRWFiIgoICFBQU4Pnz\n51KaUx0dHXTo0AHz5s2TK08oFArB5XJRW1uL2tpa+Pj4oKSkBJ07d0bnzp1ha2srFVFRJK9aVFQE\nf39/ODg4oEePHkTiKdHR0VBRUUH79u2JN76vXr2ClZUVLfzbampqxG2fwJcjQt9bvcCH+epnJ2ZC\nifXd11dL8Z932EuXLoWTkxNGjBhBbGvQoEHYs2ePQko1X0JxcTEGDx6Mv/76i7gSPi4uDgsXLkRw\ncDBlljPJC3f37l3s2LED165dI1Z8CgwMxJ49e3D+/Hni1rWbN29iy5Yt+OOPP2BoaAhzc3PKi1h4\neDjWrl2Lfv36QVVVFVOmTKGsKpaeno49e/YgPj4eQqEQLi4uOBIpXhT3/DoEDh0/jurUt7BxOBzc\nuXMHJ0+eRFZWFrS1teHj40NZXSwvLw/Tp0+X5vaMjY2xdu1aSq2Sqamp+OOPP9CkSRPo6elJQ37d\nu3dX+HuIjo4Gl8uFpaUl9PX1KX+PIpEIFRUV/8feeYdHVW3/+51Meu+VBEhICAlNCJ2ANCkiCCgX\nFRFFxWvjq6IURbh4vYoFC4qC10IUFKVLEOmhhF4DMSGF9N4zmV5+f+Q354JCMjNnxCDzPs88OmFm\nZZ+dc/baZa3PuuE2fVtzIn9n2kpfl1fLGDtnrfD+VowEv+21xE+ePImDg4PolR7A8ePH8fX1JSYm\nRpQdV1dXDh48iJ+fH1FRUaJsBQUFsXv3blxcXCyejRuPCyIjIzl48CClpaV07NhRVBBObGwsRUVF\nfP/996hUKqKjoy2OYo+JiaF9+/bMnz+fo0ePEhoaanEqVvv27bnnnntYv349u3btIi0tjfHjx1u0\n+vD19WXkyJGcPn2arKwsTp8+zT/v68upfPglNZsHx3TDyeF/19zSsYyjoyMdOnTg8uXLSKVSVCoV\nmzdvxtnZme7du5v9d9Xr9fTq1YtJkyYxefJk7rrrLpydnfHx8TH7zNzPz4/x48czYsQIBgwYQPfu\n3WnXrp1F95qx4Iebm5uolaNxW/xG3Mr61rcabaGvH3h1Ax/90JwNtGjWED58SVw9hL+KlrTE27zD\nDg4OFr0dlJaWRlNTE3369BEd3JOVlUV1dTWdO3c2eXvxRlRWVnLx4kV8fX1F1Y2WSCQ4Ojqydu1a\namtr6d27tyhbcXFxLFmyhAMHDjBx4kRRlcm6du1KUlISO3bsIDIyUtREx9HRkaNHj5KZmclvv/3G\nfffdZ/EWn1ar5ejRo+Tn51NaWopSqWTgwIEW2dLr9XTs2JGYmBi8vLw4fPgw94+I52yBnm9+PseT\nk3qbfA87ODgwfPhw7rvvPmbMmMGsWbMIDw/H0dHR7Gt1cnISooIDAwMJCAggICDAKgFuNmy0FRrl\nKgY8+iXV9c3BeSeTniAu8tZVB2zJYbf5J3fDhg2ivn/s2DHOnj3LgQMH+Pbbb0XZMkY4/vzzz3zz\nzTeibFVUVHDhwgV++eUX0bbUajXHjh0jIyODdevWWWTjai3gvXv3CmeYYjXTS0tLBYe/ceNGUbbC\nwsKYM2cOXbt25cqVK6LseXp68uGHH7Jnzx7mzZvH2bNnLc6Jd3BwoGvXrkybNo0333yTbdu2Mf2B\nKbz/f83qc70fXi181lzNZalUir+/v+hyrrcjt6K+9a3KX9XX4+asZeiT3wAwun8UZ76bjfRvPCFt\n81cmduu5W7duXL58WShEIYbOnTtTXV1NfX296DPZwMBAwsPDBSECMTg6OjJt2jScnJyora0VrSj2\nxBNP8OCDDwLNEZliiI+PZ/369UydOpVTp06Rl5dnsS2JRMKgQYNYu3YtH3/8MXv37qWhoUFU+/z9\n/XnooYdYu3atVY5MjHh5eTEsIZJH72m2eXUQjA0bNsSRll1Or+mrKKuWAXD8m8d569mRf3Gr/nza\nvMMWW13Izc1NiHgWmxYklUp58sknAUSnUAE899xzVtnyh+aJydKlSwEsqu50dcCInZ0dc+fO5bnn\nnhPtsKH5vP61117j008/JSUlRbQ9iUTCnXfeyapVq6y6vWtu+oUpPPePfgzv0xz93Gv6qjYRmHO7\nYOvrm8fN6mudXk+v6at4ZMkWAOZM68eZ72bjYC8++v1WoM07bGukIdx7770EBQWZlAvZGkaBBjFn\nzkbc3Nx47bXXrKY7PWbMGJ566ikhKlgMEomEJ554gokTJ6LRaKzQuuYiJcaVuzWws7MTUnjaMu/N\nuYtBPcIB20rbhg1LSXh4NX1m/K+y3pnvZvPIeOvtit0KtPmgM2tEiQcEBCCXy0UFYxmRSCT4+fnR\nsWNHqziLiIgInJ2dLY54/j29e/fG0dHR7LYdPnz4upGesbGxVpk0GbGmrVuJcYOiKals5HJBNas2\nnebxe3thZysQ8qdyo3v6dkSv11tlYaDRaFAqlX/QobCkrysrK1EqlTg7O7fYttc+28fcj3ZhzD8+\nuPrRaxTL9Ho9ly5dQq1WCyI4ll5raWkpmZmZyGQyNBoNdnZ2FtkzGAwcP36c/Px8amtrkclk17Sv\ntTbc6Pj2ttASl0gkzJgxw2r27rzzTqvZAkQLulyNnZ2dVbbrbViff80ehr22ns1Hy+kz4wuSP3yQ\nEH9xOfi3InK5HBcXF6s4kN9++42oqCjRQkbl5eVcuHCB3r174+vrK8rWjh07UCgUxMfH06lTJ4tT\nGRsbG/noo48ICwsTlMaCgoIs6rc9e/awc+dOQf2sffv2REZGmq0BrlarWbJkCTKZjNDQUEJCQmjf\nvr3ZQZEKhYKMjAy++OILIbAyODiY8ePHCxoXqzadYtWm/x3J/fe1CfSKvXYBp9FoKC4uJjk5WSjh\n6+TkxMCBA5kyZYrJWhJ6vZ6Kigqys7NZu3atUA3Q39+f+++/3yzBpsbGRvLy8jh79iwXL14E/lc1\n0lgG2VJuC4cN4qoxXY2lyli/xyipKDY1DJpvEDc3N1HnucYzqKqqKqscHcjlcpRKpejBDyAnJ4cO\nHTqIXp3rdDouXrxIjx49RLcpOzsbR0dHs1cVi565l0ljKpixeDN3/986XnxoAOGutcTGxgoTLaO+\ntbmVzUpLS0lPT6dz586EhYUhkUhIT0+3KG3wyJEjaDQaQkJCCA0NxcPDg48//pj+/fvTp08fk51G\nU1MTO3bswMvLS5DvrK2tZfXq1YJsp6n3yPnz58nMzMTBwUF47d+/n4yMDAYMGEBiYiIJCQnCs97S\nuepPP/2EUqlEp9Oh0+nQarUkJyej1WqJjIykd+/e9OvXj7i4uBbmevEGAAAgAElEQVTblJ+fz4ED\nB5DL5SgUChQKBWVlZULRBycnJ/r378/MmTNb1RLfvXs3OTk5giZ5fX09FRUVnDlzBmiOm5k0aRIj\nRoxo8VloaGhg06ZNVFVVUV1dLQTKGgwGioqKyMrKYvTo0SYF9J4+fZrjx48L2uYNDQ04OTmhUqnQ\n6XTExsbSt2/fVjXmDQYD69ato7i4mOLiYurq6vDz88PBwQG9Xk9sbCzjx48nKCiIzzae5IvNZ4Tv\nLnw0kftG/O/vkJeXx6+//kphYSFlZWXCfQUQHR3NpEmTiI2NbfXaoLnPz58/T0FBARKJhPbt2+Pj\n44NarWb8+PEkJiaaNN7X19ezefNmQbM9LCxMiE/q168f48ePt0qMzG3hsB977DGeeOKJVnWBW6Ok\npISHHnqIPXv2iHYe69at4/z587zzzjui7AA8++yzTJw4kcmTJ4uyU1ZWxuTJk1m1apXZ2tO/Z9u2\nbSQlJfHpp5+aXZruagwGA2+99RYqlYolS5aIEpkpKCjghRdeIDo6mieffJLevXvT0NCAh4eH2auW\nkydPsnLlSmGgGTlyJAcOHCAxMbFVXeSuUYGkfjWLgY99yfK1RwFwL1hEWFgY/fr1o1+/fnzyySfM\nmTOHvn37mtymiooKNm7cKJQajImJwdnZmRMnTjBp0iRmzJhh8qCRk5PD6dOnKSkpobKyEjc3N/R6\nPRs3bqRjx45MnTqVkSNHtjoRVqvVZGVl0dDQcE2BjKamJlavXs1///tf+vfvz6OPPtrq37axsZHC\nwkI0Go3wKi0tRS6Xs3fvXrKzs8nOzub+++9vdSLc2NiIRqNBKpUilUqFbVlHR0chg8MUWVi9Xi9U\nrgoNDcXFxYXc3FzKy8vp378/d955Jz169DB5vPD39ycyMlLQJf/mm28ICAhg1KhRdOvWzaRJub29\nPU5OTnTv3h1/f3/8/Pxoamrip59+YuzYsSQkJJg8uXdwcKB9+/b07duX4OBgAgIC2LFjB66urgwd\nOtTkSaVEIsHb25sOHToQGhoqaPn/9NNPjBkzBn9/f175eDd7TuQK33nm/j7MmvhHpUujwFBiYiLh\n4eF4eHgIK9n4+HiznmVPT0+GDBlC+/btBY2C1NRUevXqZdaE2dnZmbCwMAYNGkT79u1xdHSkqqqK\nESNGEB4ebrKd1rgtpEn/7//+jyFDhoh2aAaDgZEjR/Lhhx+KdmhlZWXcc889JCcnExgoLsn/+PHj\nvPTSS2zdurXVWfyNMEoLbtq0iY8//pi1a9cK5ekswWAw8OWXX7JmzRo++OADEhISLN6d0Gg0fPnl\nlyQlJTFr1iymTJlCTk6ORTEJcrmcH3/8kaSkJDp16kSXLl3QaDTMnTvX7B0KmUzG3r172b59O5mZ\nmbi7u+Pg4MBbb711w5XZ7yUcrw5Ce+/xOM6fPUVqaiqFhYUAjB07lueff96s2blOp6OoqIiMjAzW\nr18vbBW6uLjwwAMPMG3aNLMU7NRqNXl5ecyZMwepVCpsqfbq1YsRI0aYPdnZt28fv/zyC126dBEK\nQVhSftW4agsMDKRXr15/uPfNkcusrq4mIyOD3r17i67ZXlBQQGBgoGg7BoOBxsZGswpj3Ahr7QzC\n9SvViZEm/X0g5oKZg7l/pLiMnluZ215LfNmyZbi7u1ulytaCBQuIiori8ccfF23rpZdeIjIy0irt\nWrhwIQD/+c9/LPr+1Q/cRx99xP79+0lKSqKhocGsAhS/Z8eOHbzxxhu88sorZGZmMn/+fIttXb58\nmSVLllBXV4dcLufbb7+1ePZqdNwrV65Eq9Vyzz33sGjRIosHtV27dvHqq68CzauSF198kSlTppg0\nsL2bdITvdzWvEBK6hDIwrJoDBw4IASp+fn48/fTTZk+gtFot27Ztw83NDT8/P+FlyY6CcUXq4+Nj\ntayGP5u2om99O2BuX1fXyxn1zLVCVqsX3kNCnLgqen8HbnuHnZSURGZmJm+++aZoW1u2bCE5OZkv\nvvii9Q+3wpkzZ3jhhRf45Zdf0Ov1oqLOa2pqmDBhAq+++iouLi6iAuP0ej3z5s0jPz8fLy8v0dd6\n7Ngxnn76abRaLV999RUJCQkW2zp+/DjPP/88KpWKyMhI1qxZY3HxlGPHjvHVV1+RnZ1NXV0dw4YN\n46233rIo3qGgoICKigph27exsZE+ffrQpUsXk76vUGkYNOsr4f3+zx/By13cCs2GjbbGivXH+frn\nc9f87MCqmXi6WVa06O9ISw67zedhFxcXi/p+U1MTQUFBlJSUcPLkSVG2dDodvXr14uzZs3z66aei\nbEFzoQ0fHx8eeughfvvtN1G29Ho9gwcP5pVXXmHnzp2ibQUEBPDbb79x7NgxYUvVUqqrq4VAtqVL\nl6JSqSy21bNnT5YvX87UqVORy+XMmzcPrVZrka3+/fuzevVq9u7dy65du5g6dSq5ubmtf/E6RERE\nkJCQwPDhw4XzYlOdNYCLkwNnvpvNuEHRAAx7ag0JV0ma2rBxq1LXqKTX9FX0mr5KcNYh/u6c+W42\nZ76bbXPWZtDmHbZYjVqVSsWbb77J2bNn2bp1qyhbdnZ2vP3226jVaos1u6/m7Nmz5Obmkp2dLVrs\nxMvLSwhsOXr0qJCWYCpX97O9vT2zZ8/m3nvvBZp3KMRw9913k5yczNtvv42rq6uoGuBOTk4MGjSI\nhQsX8ssvv/DCCy9YpOx2NRKJBH9/f/r162dydKmltHY///ufwzmx5gkA9AYDvaav4rMN4iaatys2\nLfGbx/X6etLcH+g1fRXD/7lG+NnXiydy5rvZJH/40M1s3t+GNu+wExMTRX3f19eX4cOHA9CpUydR\ntiQSCS+//LIQhSmWYcOG8cILLwCIdtgODg78+9//Zvbs2dTU1HD58mVR9ry8vHjjjTdYvXo1Fy9e\npLKyUnT7xo0bx/fff8/gwYOtop4mkUiIjo4WFRzXFrGX2nHmu9l88OJoAL7YcoZe01dxMl3cbpMN\nG38273+XKqym88vqgeasCONquke0eIXI25nb4gz78uXLTJ06lU8++cQqQSgrVqwgOTlZ9NYzNEdc\nLlq0CCcnJxYtWiTaHjRXxZLJZDzyyCNWsadQKKioqLCaGpsN83jrm0P8tCddeJ/0r0l0jbp1ywfa\n+HvxyY8n+Grb2T/8/Mh/H8PF2VZlzlxaOsO+LfKwY2Ji6Nu3r+gVtpHHH39c9LmuEYlEwuuvvy66\n9OfVTJkyhaqqKqvZc3FxsTnrv5AFMxNZMDORcXPWUlYtY8bizQC8+lgiU4a3LOxhw8afwdPLkjmW\nVvSHn9+u6n03i9tihQ1w6tQpevfubbWUlMLCQqsmxOt0ur9UZ9uWAnNzsEY/P/nmz5z6rUR4369r\nGJ/NHy+2aX87/qp72lrPslqtxmAwWOX4raqqCg8PD4ttXS8Ny8gvHz1E1m/nzO7rsrIyQeLUVAnR\nG3Hu3Dnc3d0JDg4WlW1TW1tLRkYGAQEBBAQE4OnpabHPSEtLQy6X4+fnh6+v7zVxRi1x26+wAVGp\nRNfDms4abt+iGDb+yPWEKa5m9av3APDNz+f4eP1xjl8sFsQnti1/gHaB/xPaqKurw8vLS/RE1WAw\ncO7cObp37y76Xs3JyaGoqIh+/fqJFhf56aef8Pb2NkkesyUqKytZvXo1PXr04I477iA0NNSiPtPr\n9WzevJn09HS6du1KfHw8UVFRZuX36/V6VCoVjY2NvP3223h7exMTEyO8THVIer0euVyOTCbj3Llz\nbNy4kbCwMCIjI4mMjKRz584EBARc97sGg4En3/yZ0xml1/33Pu7nCQ4KICIigvQLJ03uK41GQ11d\nHXV1dRQXF7Nx40agubRtWFgYQ4cONSnwU6/X09jYSE1NDTU1NZw8eVKI23F3dycuLo7x48eb1Fdq\ntVqQcK2qqmLv3r2o1WrB1rhx4+jVq1er16jX62loaKCqqoqqqipycnKuyf6Jjo7m7rvvFiX9fFus\nsI8dO0ZUVNQNb05TUSgUHDhwgLFjx4puU2FhIXl5eaKD6gB++eUX4uPjRVcm0mg0fPHFF8ycOdMq\nM95z587x0EMPmV0Y4Pd8/vnnREREMGrUKFG2ampqWLZsGXfddReDBg3C2dmZhoYGXF1dzRZM2bx5\ns6CM1bt3b/z8/Dh06BDdu3c323G88sorBAYGEh0dTUxMDO3ateO9995j+vTpREdHt/r9grJ67p37\nwzU/c3GApdM7UVxcTGpqKlOnTmXo0KEmO9uPPvqIoqIivL298fHxwcfHh3379qFUKhkzZgyjR482\naeCpqqri9ddfx8XFBVdXV1xcXJBKpRw6dAgXFxcGDhzInXfeadJEYMuWLYIssPFVV1dHVVUVdnZ2\ndOnShf79+zNixIhWpUlfeeUVGhsb0ev1GAwGYbA1DodhYWFMnz691Yn+uXPn+OKLL1Cr1ajV6j8E\nU9rb29O/f3+mTZvWqmb6ypUrSUtLQ6FQYDAYcHR0RK/Xo9VqsbOzo1u3bgwaNIg+ffq0qMpXXV3N\nG2+8gUwmw2Aw4ObmhpubGxUVFUBzOumQIUNISEi4pp++2Hyazzaeuq7NCMcionzkeHl5oVarqaqq\nwtfXl8TERAYOHGjSPf+vf/2LqqoqnJ2d8fHxwdvbm5ycHAwGA3369GHIkCEmBZBeunSJNWvWYDAY\n8PHxEfr18uXLdOzYkaFDh9K1a1eTlAuTkpK4dOkSHh4egrBQXl4eSqWSgQMHMmDAAJNUAWtqalix\nYgUGgwF/f3/8/f3x8PDg6NGjdOnShSFDhpi8yLvthVOeeOIJ7rnnHiZMmCDKjlwuZ+jQofzwww+i\nNK2hWQBkzpw5JCcnWywnauSTTz5hx44dfPvtt6JsNTU1MW/ePEpLS/noo49EKZxlZmaydOlSFAoF\nCxYsoE+fPjQ0NFgks7hjxw7WrFlDY2MjDz74IPfeey/btm1j2rRpZsmJNjQ0sHXrVnbv3k1hYSFD\nhgwhOjqalJQUli5dalYp1+zsbA4ePMipU6e4dOkS7dq1QyqVUlVVxdNPP824ceNMapvBYCA1NZWs\nrCyysrK4fPky1dXVQPPW6vDhw3nsscdMethramp45aNfOZPTcM3P7bQNeFbuJCQ4mClTpjB27NhW\nHVpOTg6lpaXU1tZSV1dHTU0Nhw4dQiaTAc3ZFw8//DCjR49u8TpVKhWXL18WCmPI5XIKCgr4+eef\ncXBwoHPnzoIj6tChQ4ttqqyspKqq6pqCHdu2bSM7O5sePXrQq1cvevbsadJE4sqVKxgMBuzs7LCz\ns0OpVLJs2TK6du1Knz59uOOOO0waqGUyGTU1NTg4OODo6IijoyOHDx8mLS2N/v37k5CQYPLk15ie\naJzc2NnZ8fnnnxMVFUX//v1NnghqtVoqKipwd3fHzc0NqVTKlStXOHHiBIMHDyYsLAyDwcAH647x\n3S8XrmujT1wony8YT2NjI1qtFk9PT2FSe+DAAfz8/IiPjzfr+ausrMTd3V249xQKBampqfTv398s\nqVylUolSqcTT01P4/VlZWTg6Opoda1NXV4eLi8s1RwXnz58nLi7OrMWBTqejoaEBLy8voU01NTVo\nNBqzqyfe9g77nXfewc7Ojrlz54q2tWjRIry8vKxia/78+UgkEt566y1RdgwGA0uWLCEjI4Ovv/7a\notKFxvM+vV7PypUr+fHHH1m2bBmurq507drVom1Q4/bgihUr6N+/PwqFgkcffZSePc0vOm8wGDh6\n9Cjffvst6enpqNVq7rzzTpYsWWLRuVxeXh67d+9m69atwkAyf/58i8rfKRQKTp8+zZIlS1AoFAB0\n69aNuXPn/iHQ0ZRz1V27dvH222/j6+uLn58fgYGBPPjgg2YJsag1Ovo/ev189wOfT8fT3fQBEv5X\njci4C+Dv72/xNntmZiYajYbOnTuL3n3Jzc2lffv2170/zTnDVigU2Nvbi24PWLein7Vibq63C3M1\ndhIJB1bNxN3VsqqGthgY69GmHHZVVRWffvop9fX1SCQSRowYwbhx4677WWs57M2bN7Nz505WrVrV\n+odb4fTp07zwwgvs27dP9ENZXV3N3XffzUcffUT37t1FldrUarW88MILgiObOHGiWdvav3/gdu/e\nzZIlS/Dy8mLKlCnMmjXL4rbV1dXxr3/9i/379+Pp6clXX31lccS+sVCHUajBqHxmyfml8YywoqIC\nlUqFQqFgxIgRzJo1y+yBu6SkhEuXLuHk5CS8XF1diY6OvmbQNWVgk8lkwtaxNdDq9PR95PrysjPH\n9+T5af2s8nvaGrerE5HJ1cx+62d+u3LjTJGhvdrz7py7sJdaR4rjdu3rP4M25bCNAQcdOnRAqVQy\nb948Xn755etuv1rLYV+8eJE5c+awe/duJBKJqFmrwWBg3LhxvPTSS4SHhwvF1i3lxx9/ZM2aNXTq\n1ImPPvpIlC2FQsE//vEPcnNzmTdvHg8//LDFthoaGpg7dy7Hjh3D3t6e77//3uJrVavVfPLJJ6Sk\npJCfn09gYCBr1qwxawvaiE6no7S0lKKiIuFlb2/P448/LjqA6XZh8ar9/Hzo+sI6j0/sxdP397nJ\nLbJhKScuFfPUW9tb/Zwtd//WoU057N/zzjvvMHbs2OuWq9y7dy/V1dUWbVMaMZ5zLVq0iGHDhvHx\nxx+bXUbxatLT03n//fc5e/YsTz31FE8++aTFtvR6PStWrBBW/nv27BHqxFratgULFpCTk0NQUBA7\nd+4UtcV35coVNmzYwNatWwkODmbdunUWFca4mvLyck6dOkVlZSXTp0+3Wsk/G5ahUGkY+uQ3aHU3\nlrJd9+8pxHawPLLVhniOpRXx9LJkkz674uWxDOohLgDVxl9Hm03rqqioIC8vr8VIWLEDur29PWlp\naUBzII0YZw3QsWNHqqurUSqV1NfXi7JlZ2fHww8/TGpqKmlpaRw7dkxUze64uDg2bNjAt99+y2ef\nfcb27duZNGmSSd+93pZWx44defnll3nuuefYtWsXhw8fFmReLSUoKIi7775blI1bmba2deji5CBo\nl0Pz9vmLy3/l8PkC4WcPvrbxD98bPziGRY8PwcG+7aYjtrW+bo3c4loWfb6vxa3sq+keHcSKuWPx\naAPFM261vr5V+csctlKpZPny5cycObPFrcz+/fuL/l1PPPEEmzZtErV6NeLi4sKHH37I/fffL9ph\nQ3O07ddff83cuXM5evSoKIcNzZrdjz32GGPHjmX9+vXo9XrRkxRnZ2fREfY2bg3spXZ8/PK1aYul\nVY088OpGGpr+V2Vt++HLbD98/W31Fx8cwANjuiIVed/9nTAYDBw+V8C736ZSVNHQ+heu4sEx3Zgz\nrV+bnhzZuDn8JVviWq2WZcuW0bNnzxZXW3v37kUulwszN2OgkSXvly5dSmFhIY888ohV7O3cuZNv\nv/2Wf/7zn1axp9VqWbBgAffccw9DhgwRbc/43mAwCLne1rBne297b3z/adIOvtxViLlIJPDYhDvo\n4NmEl5tDm7kec98fPHSIvHIFebVObEnJMLsfrmb62O50D1Hj7ChtM9dne//XvHd1dW07Z9gGg4FP\nP/0Ud3d3Zs6c2eJnrSlNWlJSQnJyMk888UTrHzaRPXv2MHLkSKvZMxgMQm6oDRu3KgaDgaNpRSz9\nIoWK2qY/5Xd4uTsRFuCJv7crnm5OeLg5Nv/X1QkPV0ecneyRSCSoNTpkcjUNTSrqZEoam1TN/9+o\npLymibJq2Z/SvqvpGhXIU1MSGNCtndXStGz8fWlTQWcZGRksXryYiIgI4eZ98MEHr5uba02HDVgs\n3HE7YDuDujncqv1szZxgjUaDg4MDKrWWg2fz+SU1mwOn86xi+2YQHxnAiL6RDE/oSHjQH7Wm8/Ly\n8Pf3F6VpDc2iM5mZmXTq1Em08uCVK1dQqVR06NBBVDaFXq/n+PHjBAUF0a5dOyEI1ZL7uqysjNzc\nXMLDwwkJCREVr3TqVLNCW2hoKEFBQRanRMrlco4cOUJQUBDBwcH4+/tbvIDKyMigvLycwMBAAgMD\n8fHxMclWmwo6i42NZf369Tf71wK0OWdtrUHQOABaA6VSaZX0KJVKhUQiER1VDtbTw9br9VRXV18j\nUatSqXB0dDTbtlHdysPjf5WJsrOz6dixo9mDRUFBAX5+foLak0Kh4ODBgwwbNsys/jOqbvn4+ODu\n7o5EIuHw4cPU19czbNgwswb94uJi9Hq9IGvp4ODA+++/T0xMDEOGDMHb29skOxqNhitXruDk5CQo\ngeXn57N+/XoGDBjAwIEDGdVvtEm2Kisrqa2txc7ODqlUip2dHZs2baK6upqEhAR69+5Nu3b/W8W2\n5ESys7PRarXCrpZSqeSzzz6jXbt2dO/enR49etChQ4dWB9jGxkaKi4vRarXC6+LFixw9epSIiAji\n4uKIi4szSU+8qKiI+vp6QeZUrVbz66+/Ul9fT0REhCBaExsb22K71Go1ubm5qFQqQRWssrKSI0eO\nYGdnR7t27YiMjCQhIaFVKdCqqirKy8sFpTqFQsGlS5coKyvDzs6O0NBQYmNjTRp/cnJykMlkyOVy\nQeP81KlTGAwGpFIpoaGhDBs2jJiYmBbtyGQyioqKaGpqEl7FxcWUlDQXxJFKpcTFxTFy5Mhrns/r\nUVJSQk1NDTKZjKamJmQyGTk5OcIEwMXFhTvvvJMePXq0OEZoNBry8/ORyWTCq7a2VmgTNNefGD58\nuCgt8dsip+bdd99l6NCh9O3bV5SdpqYmZs+ezSeffGLygHUjjh07xurVq/nss89EV+P597//jZ2d\nHfPnz7fY1uDBg5HL5UyYMIEJEybw6KOPtnqzt8S+fft4//33mTBhAlOmTCEsLIzS0lKCg4PNdo6v\nv/46BQUFDBkyhKFDh9KjRw/Wr1/PxIkTzVrFlJaWMn36dPz9/YVB2dfXlx9//JE5c+aYJTe7fft2\n1qxZg7+/v1BMITc3l9LSUmbMmMGdd9553UH1eg5kyZIlFBUV4enpSUhICMHBwZw4cYKvvvqKiRMn\nMn78eJMmm7/99hsffvgh9fX12Nvb4+Pjg6OjI8XFxXz99dcMHTqUsWPHmiRas2HDBs6cOYNcLr9G\nuevIkSOsWbOGO+64g+HDh9OvX78WJyj19fWsWLHiGidk1Nu+cuUK69atIy4ujpkzZ7YqTXry5En2\n7duHXq8XXnK5HKVSSV5eHtu3b2fkyJHce++9ODs7t7ji++GHH1AqlcLfSCKRYDAYyMvLo6SkhIKC\nAmGgbomCggI2btyIvb09UqkUe3t7QQu8oKAAFxcXfHx8CAkJafVveOjQIYqKioSJjXGyZjAYUKvV\nODs7ExAQ0OokQqFQkJycjJOTE87Ozjg7OwvPnLOzM+Hh4XTv3t2kINzMzEzOnz+Pi4uL8HJyckIi\nkdCpUyd69+5NfHy8SQ47JSUFiUSCm5sbrq6ueHh44ODggKurK7179+aOO+4waVytqKjg6NGjwmTS\nzc2NwMBAysvLiY2NpVevXnTo0MGkcebixYvU1NTg7u6Ou7s7oaGhgqzrHXfcQdeuXU0StFKpVJw4\ncQIPDw/c3d3x9fXF399faFPPnj0JDg5u1U5r/OV52C1hrS3xpUuX4uLiwssvvyza1rPPPktYWBgL\nFiwQZUetVvP444/j4+PD8uXLRalaVVZW8vLLL9PU1MTy5csJDw9HrVZbtLrNycnhww8/JC0tjdmz\nZ9O3b1/KysoYNGiQWXYMBgMXL17kp59+Ys+ePSQkJODu7o6dnR2vvfaaWat4rVZLWloaKSkppKSk\n0NTUfC7q4uLCq6++atZETKVSkZGRwYULFzh//jxpaWk0NTVhZ2fHxIkTefzxx01WTTM6ipycHK5c\nucK+ffuora0FmlPiHnnkERITE03aBlOpVJSXl1NaWkp2djZr1qwBmtMSo6KimDVrlsmSrlqtlvr6\nempra9m8eTMHDx4kLCyMqKgoOnXqxJ133omPj49JtozOor6+ntdeew0fHx+6dOlCly5diI2NtUhh\n7tSpU2zevJlu3brRtWtXYmJiLN6JSUpKwsHBgR49ehATE2PxtmpNTQ1btmzhjjvuIC4uTtQk+uTJ\nkyiVSnr27Clq0qvX69m7dy/x8fGiM1yKi4upra0lNjZWdKqsUTtfTHU0aJ5YlJSU0LFjR9FxO6Wl\npXh5eYk+OjAYDBQXFxMWFiZ6R6+xsRGpVGp2m9rUGbY5WMth79q1i1WrVgml3MSQl5cnFJ8QWx2r\nsbGRhx9+mF69erFo0SJBPN4StFotn376KT/88APz5s3j/PnzLF682OTv/3778MSJEyxfvpzS0lIU\nCgUrVqygXz/LJCxra2vZunUrK1euRKfT0aVLF95//32zRfGh+YHatGkT7777rvCzyZMn8+yzz5r9\nYBgMBt5//33Onz8vFEoICQnh0UcfbbWy0u+RyWR89dVX+Pr6CmdWgYGBfzhPM+WsLzs7m/LyciIi\nIkSf7eXm5hIcHCx6IFOpmlO6rFGb2RqphqZwq8YL3IrY+tp63PYOu66ujoEDB3L8+HFRM14jb7zx\nBtXV1cyfP1/0NkdFRQXTpk2jZ8+ehISEiN4FSElJ4fnnn0er1fLBBx9w1113mfS96z1w58+fZ/bs\n2SgUCpydnVm5ciW9e/e2qF2nT59m06ZNQsUlg8HA4sWLLSoEYjwr0uv16HQ6oaSdtWuU/xnYBrab\nh62vbx62vrYet7TD7tatm1UCqu69914efvhh4uPjTSqQ3hI1NTWMGjUKf39/kpKSLFopGlGpVCxb\ntox169bh6urK/v37RW017d69m+XLl1NQUICnpycbN260eDtNp9ORm5tLWloaaWlp5OTkMHfuXLp3\n725x+65GpVJZZcVmw4YNG38XWnLYbT7h99tvvxVtY9OmTdTW1rJw4UIKC80Xevg9W7dupbGxkStX\nrnD+/HlRtpycnBg3bhzR0dHI5XLWrVsnyt6oUaPYsWMHSa9J+DwAACAASURBVElJjBo1iqVLl6LV\nai2yJZVKiY6OZvLkySxevJikpCSzSjy2hs1Z27Bhw4bptHmHbQ1p0jFjxgDNZ5ZiSlgaefTRR3nx\nxRcBRDtsgISEBDZt2sQrr7zCxo0bhZrKliKRSOjduzdLly5l+fLlKJXKVr9jVNlpDWulj92umNrP\nNsRj6+ubh62vbw5t3mFbY0Xn6urKwoULAazisAGeeuop5s2bx4ULF6xiz6gB/t13312TuycWV1dX\n0QIONmzYsGHjr6fN52FbS13prrvuIjEx0WoOG2DWrFl4eXmh0+lEpWVdjTVy9SzBFjByc7D1883D\n1tc3D1tf3xzavMO2FhKJhEWLFlm9/vJ9991nVXs2bNiwYcPG9ZAuWbJkyV/diBtx5coVQkJCrGbP\n29u7zcmTthUOHz4sOq/8dker1baaX2xKPyuVSqvJzRYXF+Ps7Cx6B0iv15OWloafn5/oHOqCggLK\nysrw9fUVvYOWmpqKXq+/rnStOfd0TU0NqampgnKWmHadOnWKgoIC3NzcRO3oaTQaduzYgUqlwt3d\nXZTMb1ZWFidPnkSv1+Pu7m7xwsVgMLB7925KSkoE1TI7OzuLxo/q6mp2795NU1MT9vb2uLq6Wtzv\nJ0+eJD09HZVKhYODg6DGZi4qlYpff/2VqqoqNBoNTk5OFj+Hubm5nDhxgsbGRvR6vcnPYWlpKZGR\nkdf9t9tihd3Y2IjBYLCKs87IyKBz586iBxq1Ws3Zs2ctFiO5mvPnz+Pq6kp0dLRoW5s2baJPnz5C\nTrOleud5eXmcOnWKfv36CfrOpaWlBAQEmD1Y/PLLLxgMBmJjY2nfvj1SqZTt27czfPhwswRBZDIZ\nP/zwAxEREYSHhxMeHk5FRQW//vor999/v1kav8ePHycrK4vAwEACAgIIDAxk+/bt6HQ6JkyYQLt2\n7Uy2lZSUhKOjI15eXnh7e+Pm5sby5cvp27cvo0ePNlkyNTc3l5SUFFxdXQXHc+XKFQ4cOMCgQYMY\nOnSoyffuzp07qaiowNHREWdnZxwdHdmzZw8ymYy+ffsyYMAAunTp0qrzlslkbNiwQZDttLe3R6lU\nsnfvXjw9PenVqxcJCQkmKXCdOXOGS5cuIZFIhFdubi4FBQX4+PjQo0cPevToQefOnVu1tWHDBpRK\nJcasVoPBwNmzZ9myZQv+/v7Ex8fTo0ePVp+pwsJCDh8+fI1cal1dHQUFBUDzEVdsbCyJiYmtym4e\nPHiQkpISdDqdoEteXFxMamoqEomE0NBQevfuTb9+/Vrsd5lMxq+//opWq0Wj0aDValGpVJSUlHD0\n6FHs7Ozo0KEDd911V6sLovT0dDIyMtBoNGg0GtRqNQ0NDYLaoL29PX369DHJEe3atQu5XH6NTG1t\nbS1ZWVlA84Jq2LBhrd7vZWVlnD17FpVKhVqtRqVSoVAoUCqV/PbbbwDExMQwePDgVuN3zpw5Q0VF\nxTW25HI5hYWFXLhwARcXFxISElq91xUKBceOHbvGjvH/i4uLAQgLCyMhIQE/P79W++pG3BYOe+HC\nhXTp0oWnn35alB2NRsMzzzzDP/7xD5588klRtnJzc3nuueeYNGkSL730kqjZc3p6Oh988AGJiYk8\n9dRTREdHU1JSYlb+9eDBg9FoNJw6dYp3332Xzp07c/fddzN06FBWr17N3LlzzZITbWpq4siRI6xY\nsQJvb29hkElPT2f+/PnExcWZZSs1NZVPPvkEtVpNTEwMZWVlfP7558ycOZOJEyeaNAvWarWCsygo\nKKCiogJvb29qa2vZsmULY8aMYdq0aSbt6kilUurq6sjKyqKiooLKykpksuZSjdu2baNPnz5MnDiR\nXr16XfOgX++sz9nZmerqavLy8qirqxNkRXfu3MnOnTvp1KkT06dPb1VEyMHBAWdnZ2QyGeXl5cjl\ncsrKypDL5ezevZu9e/cycOBAZsyY0aqSm4eHBw0NDajVaqqrq4WBTCaTkZKSQnFxMYMGDWL48OEt\nDmQSiQR/f/9rimPI5XKgeSJdUFCAh4cH3t7erU5y3Nzc8Pf3Fwp2GItGADg6OiKVSgVN8Bv1tZGA\ngAAh3dH4nbNnz+Lq6krHjh2JiooyadLl7OxMaGgodnZ2wqugoIDCwkIiIyMF+VVTNLJ9fHyumdhI\npVJqa2txcnIS7LRr167VSZK9vT0hISE4ODgIr8bGRsrLy+nUqRNdu3alc+fOJqVVenh4EBERgYOD\nA46Ojjg4OHD27Fmqq6uJi4sjPj7eZAcUFBQkFAQy/r1+/vlnoUhKhw4dTJrMOzs7ExYWJthxcnKi\nsLCQrKwsYmNj6dy5s8mLMx8fH1xdXQU7Tk5OpKSk4OnpSUxMDOHh4SbtKNnb2xMUFCTYcHJyQi6X\nc/LkSaKjo+nUqZNQ3EcMbV44xRpKZ/v37+df//oX+/btE72dl5WVxdSpU1m2bJnJKmI3oqSkhLlz\n56JUKnn//fepq6ujZ8+eFq1oa2pq+Oabb/jhhx9ITEyksLCQWbNmMXq0aZWQrkYmk7Fv3z6Sk5M5\nf/48KpWK6Oho3n777Rtu1dwIjUZDWloax48fZ/v27VRWViKRSLjvvvv45z//aVYEu8FgoLS0lLNn\nz/LOO++g0+mA5pJ6zz77LEOGDDGrbUqlkrVr17J27Vr8/f0JCwsjIiKCqVOntlrF6PdotVoWLlyI\nXq+nQ4cOdOzYkY4dO9KpUyezJ2M5OTl89913REdHCw+7qdrfvyc5ORm5XE5sbCzR0dEWV2JTKpX8\n/PPPdO7cmZiYGFEV3bKysqitrSUuLk50BsOpU6eIiIggMDBQlJ36+noqKiqIjIwUfXxQWFgoVEwT\ng06no6ysjNDQUNE7evX19UIxELHU1tbi7e0tuk3WlLuVy+W4uLiIbpNRO98abdJoNNjb25vdplta\n6cwaDlun0zF48GCWL1/OgAEDRNs7ePAgzz33HOvWrcPBwaHVcnAtodVqWblyJWvWrMHHx4dZs2bx\nwAMPWGyvpqaG//znP+zcuRM7OzuWLFnC5MmTW/3e9aQFNRoNL730EocOHQKaZ7YLFixgwoQJZrer\noaGBjz/+GIPBIMzWw8LCmDx5stlnRHl5eeTn5+Pj44Ovry++vr4WP6zl5eV4e3uLfkD1er2wTdsS\nNgnHm4etr28etr62Hm2qHvZfgVQq5f7772f9+vXExMSIOkMAGDJkCHPnzuXJJ5/E3t6eXbt2WTzg\n29vbM3PmTM6dO8eRI0d48803he0vS/D09KRLly6oVCqysrJYvHgxMpmMGTNmmG3LwcGB9957T6gV\na6wX29jYaLYmu6enJ6+99prZbbgeHTp0aLUUo6mIkZW9mptRzMKGDRu3N21+he3o6Gix8zKi0Wg4\ncOAAzz77LLGxsWzdulWUPYPBwH//+1/effdddDod7733HpMmTRJl7/z58/z888/s2LEDV1dXNm/e\nbJUgOblcTk5ODlFRUaIrNtmwYcOGjT+XW1pL3Bj1JwYHBwdSUlJQq9VcunQJsXMUiUTCY489xvz5\n83F2duabb74RZVMikdCzZ08WLVrEoUOHWLJkCceOHRPVRiOurq5069bN5qxt2LBh4xanzTvsYcOG\nWcXOokWL6NmzJzqdjoaGBtH2pFIpjz32GMnJybi5uXHmzBkrtLJ5izwxMVF0QJu52LSAbw62fr55\n2Pr65mHr65tDm3fY5uTGtoSTkxMrV67Ez8+Pmpoaq9iE5vPU7777TvS5uA0bNmzYsNESbf4M2xpR\n4leTmpqKq6srPXv2tKpdGzZs2LBhQyy3fZT41QwcOFDI37Vhw8atjaVKfL9Hr9dbLdLfWsWA9Ho9\nYJ0MBGtJ3RoMBjQajSihp6vbJJVKrXJ9SqXSKjnmOp0OvV5vlb4yyqRaM4PkttISN2JLwfkjN9IC\nttaACM054s7Ozlaxl5aWRmBgoGhb+fn55OXlCSpMYtizZw9qtRo/P78b2jJFc7mhoYGffvoJT0/P\n62pkm8OhQ4c4d+4c3t7eooQ8dDodX331FXV1dfj4+IgaHDMzM9m8eTN6vR4fHx9Rg+PGjRu5ePEi\nEokEb2/vaxylOfrWDQ0NfPnll9TW1uLo6IiHh4dZ/W4wGARp0tTUVA4cOIBcLsfZ2dksjWyjHZ1O\nh0aj4bvvviM/Px+1Wo2bm5vJjvL3dq5cucK2bduoqanBYDDg7u5u8qRCr9cLMqdqtZq9e/eSlpaG\nTCZDKpXi6urKkSNHWu1rg8EgyK6qVCoaGhrYvHkz5eXlZmuAX90mpVJJeno6x44do66uDq1Wi4uL\ni0mqacY2Ga9NpVKxb98+8vPzBflVZ2dnk3zG1W1SqVSUl5dz5MgRQSlQKpWadH0taYnfFlviO3fu\nxNXV1WwlrN9jMBh4/fXXufvuu+nfv78oW8XFxcybN4+HHnqIUaNGYW9vb/Esf/Xq1Zw7d46hQ4cy\nZMgQQkJCOHToEL179zY5Ovzw4cMMGjSIf/zjH4SFhdG1a1e6du1KTEwMb775Jk8++aRZAjEpKSms\nWLFCyJnu0KEDZWVlHDlyhEceeYQhQ4aYfK2LFi0iPz+foKAggoKCCA4OZu/evRgMBiZPnsxdd91l\nkgMpLy/nmWeewcfHB29vb3x9fXF2dubXX38lLCyMcePGMXLkSLy8vFq1tXbtWnbu3Im7uzseHh64\nu7tTVVVFfn4+YWFhDB8+nGHDhv0htuF6AhNPPfUUGo0GV1dXnJ2dcXFxIScnB41GQ3h4OIMHD2bw\n4MEEBAS02KaTJ0/y+eefCwOfg4MDer2eiooKoDneon///gwaNKhV5bQPP/yQzMxMQSbT3t6epqYm\nVCoVEomETp06MWDAABITE1v8O1ZXV7N48WJhJWV8GQdDqVRKbGwsEyZMEPTrb0RycjL79u0DEERq\njE4SmuVJBw0axOjRo3FycmpRzOONN95ALpffMLvD19eX8ePHtyqhm56ezvr161v8TNeuXbnrr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s5MsNGjSIU6dO3exm2PgdtgjPm4Otn28etr6+edj6+uYgXbJkyZKb+QuzsrJoaGggISEBaBaJ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\nKYhtml8RAAAAAElFTkSuQmCC\n", "text": [ "" ] } ], "prompt_number": 9 }, { "cell_type": "code", "collapsed": false, "input": [ "n_max = np.max(solucion) * 1.10\n", "\n", "fig, ax = plt.subplots(1,2)\n", "\n", "fig.set_size_inches(12,5)\n", "\n", "ax[0].quiver(xx, yy, uu, vv, norm, cmap=plt.cm.gray)\n", "ax[0].plot(solucion[:, 0], solucion[:, 1], lw=2, alpha=0.8)\n", "ax[0].set_xlim(0, x_max)\n", "ax[0].set_ylim(0, y_max)\n", "ax[0].set_xlabel('presas')\n", "ax[0].set_ylabel('depredadores')\n", "\n", "ax[1].plot(t, solucion[:, 0], label='presa')\n", "ax[1].plot(t, solucion[:, 1], label='depredador')\n", "ax[1].legend()\n", "ax[1].set_xlabel('tiempo')\n", "ax[1].set_ylabel('poblaci\u00f3n')\n", "plt.savefig('campo_direcciones_ev_temporal.png')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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qy2EAQHRoAP61djbjvvQW7n6uWW5uTGYLzhXIMWZoCARezAp6MaGv74OCsgaIhJ6ICnG+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\nDB8+vG0DegQURWH79u3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"text": [ "" ] } ], "prompt_number": 10 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Si nos fijamos en la l\u00ednea azul, la coordenada x en cada punto indica el n\u00famero de presas y la coordenada y el n\u00famero de depredadores. La evoluci\u00f3n a lo largo del tiempo que hemos representado antes, se obtiene al recorrer esta curva en sentido antihorario. Podemos ver tambi\u00e9n como el campo de direcciones nos se\u00f1ala la tendencia del sistema en cada situaci\u00f3n. Por ejemplo, una flecha que apunta hacia arriba a la derecha indica que con ese n\u00famero de cebras y leones en nuestra sabana, la tendencia ser\u00e1 que aumenten ambos.\n", "\n", "Llegados a este punto podemos preguntarnos qu\u00e9 habr\u00eda ocurrido si el n\u00famero inicial de cebras y leones hubiese sido otro. Como ya sabemos integrar ecuaciones diferenciales, bastar\u00eda con cambiar nuestra `x0` e `y0` y repetir el proceso (incluso podr\u00edamos hacer un widget interactivo). Sin embargo, se puede demostrar que a lo largo de las l\u00edneas del mapa de fases, como la que hemos pintado antes, se conserva la cantidad:\n", "\n", "$$ C = \\alpha \\ln{y} - \\beta y + \\gamma \\ln{x} -\\delta x $$\n", "\n", "Por tanto, pintando un `contour` de esta cantidad podemos obtener la soluci\u00f3n para distintos valores iniciales del problema." ] }, { "cell_type": "code", "collapsed": false, "input": [ "def C(x, y, a, b, c, d):\n", " return a * np.log(y) - b * y + c * np.log(x) - d * x" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 11 }, { "cell_type": "code", "collapsed": false, "input": [ "x = np.linspace(0, x_max, 100)\n", "y = np.linspace(0, y_max, 100)\n", "xx, yy = np.meshgrid(x, y)\n", "constant = C(xx, yy, a, b, c, d)\n", "\n", "plt.figure('distintas_soluciones', figsize=(8,5))\n", "plt.contour(xx, yy, constant, 50, cmap=plt.cm.Blues)\n", "plt.xlabel('presas')\n", "plt.ylabel('depredadores')\n", "plt.savefig('distintas_soluciones.png')" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stderr", "text": [ "-c:2: RuntimeWarning: divide by zero encountered in log\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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6sBlidzoDgc08ReY0octsa+8iSODZkibH8y1K3UfY7Gxs59GarpO6hGxJWzUm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e4vuGiGdTNz0Wz/tbudi+8TruGlvvm3uR5rzrBFTpFQyX2j7jSRCJurVQuRm6pCbQDP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\ntQ5MGsk33NtjQeqjU1BU62BgsL65hcukY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iWb9xWyObOIzZmF7MwuJcTXyKCEQCYMjOC+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\nmes+XsH2SzV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"text": [ "" ] } ], "prompt_number": 12 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Vemos que estas curvas se van haciendo cada vez m\u00e1s y m\u00e1s peque\u00f1as, hasta que, en nuestro caso, colapsar\u00edan en un punto en torno a $(30,5)$. Se trata de un punto de equilibrio o punto cr\u00edtico; si el sistema lo alcanzase, no evolucionar\u00eda y el n\u00famero de cebras y leones ser\u00eda constante en el tiempo. El otro punto cr\u00edtico de nuestro sistema es el $(0,0)$. Analiz\u00e1ndolos matem\u00e1ticamente se obtiene que:\n", "\n", "El punto cr\u00edtico situado en $(0,0)$ es un punto de silla. Al tratarse de un punto de equilibrio inestable la extinci\u00f3n de cualquiera de las dos especies en el modelo s\u00f3lo puede conseguirse imponiendo la condici\u00f3n inicial nula.\n", "El punto cr\u00edtico situado en $(\u03b3/\u03b4,\u03b1/\u03b2)$ es un centro (en este caso los autovalores de la matriz del sistema linealizado son ambos imaginarios puros, por lo que a priori no se conoce su estabilidad)." ] }, { "cell_type": "code", "collapsed": false, "input": [ "#n_max = np.max(solucion) * 1.10\n", "\n", "fig, ax = plt.subplots(1,2)\n", "\n", "fig.set_size_inches(12,5)\n", "\n", "ax[0].plot(solucion[:, 0], solucion[:, 1], lw=2, alpha=0.8)\n", "ax[0].scatter(c/d, a/b)\n", "levels = (0.5, 0.6, 0.7, 0.72, 0.73, 0.74, 0.75, 0.76, 0.77, 0.775, 0.78, 0.781)\n", "ax[0].contour(xx, yy, constant, levels, colors='blue', alpha=0.3)\n", "ax[0].set_xlim(0, x_max)\n", "ax[0].set_ylim(0, y_max)\n", "ax[0].set_xlabel('presas')\n", "ax[0].set_ylabel('depredadores')\n", "\n", "ax[1].plot(t, solucion[:, 0], label='presa')\n", "ax[1].plot(t, solucion[:, 1], label='depredador')\n", "ax[1].legend()\n", "ax[1].set_xlabel('tiempo')\n", "ax[1].set_ylabel('poblaci\u00f3n')\n", "plt.savefig('distintas_soluciones_ev_temporal.png')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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h888Pud5BIEFBJKg+dYqxZcA9JSqKR1oakX4ofHPQj05iYsqM1AT7np0ZSVHo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LLjtwNoJCVqdN5EIcfX2WoFgsHl24pJNqxW8cImieInUhLIbDZ+QbYh/8Dn5wuYmpLG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"text": [ "" ] } ], "prompt_number": 13 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Mejorando el modelo" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Como se puede observar, este modelo tiene algunas deficiencias propias de su simplicidad y derivadas de las hip\u00f3tesis bajo las que se ha formulado. Una modificaci\u00f3n razonable es cambiar el modelo de crecimiento de las presas en ausencia de depredadores, suponiendo que en vez de aumentar de forma exponencial, lo hacen seg\u00fan una [funci\u00f3n log\u00edstica](http://es.wikipedia.org/wiki/Funci%C3%B3n_log%C3%ADstica). Esta curva crece de forma similar a una exponencial al principio, moder\u00e1ndose despu\u00e9s y estabiliz\u00e1ndose asint\u00f3ticamente en un valor:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "def logistic_curve(t, a=1, m=0, n=1, tau=1):\n", " e = np.exp(-t / tau)\n", " return a * (1 + m * e) / (1 + n * e) " ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 14 }, { "cell_type": "code", "collapsed": false, "input": [ "x_ = np.linspace(0,10)\n", "plt.figure('funci\u00f3n log\u00edstica', figsize=(8,5))\n", "plt.plot(x_, logistic_curve(x_, 1, m=10, n=100, tau=1))\n", "plt.savefig('funcion_logistica.png')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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IgIhVqQv3ZfExY+VhYyaSwDe//I66BjMeuHWA3KUQkcKxMavQtVyeT63X0pwL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\nsZWIqK34rGxqlZKKGnz0XRZ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"text": [ "" ] } ], "prompt_number": 15 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Podemos observar como esta curva crece de forma similar a una exponencial al principio, moder\u00e1ndose despu\u00e9s y estabiliz\u00e1ndose asint\u00f3ticamente en un valor. Este modelo de crecimiento representa mejor las limitaciones en el n\u00famero de presas debidas al medio (falta de alimento, territorio...). Llevando este modelo de crecimiento a las ecuaciones originales se tiene un nuevo sistema en el que interviene un par\u00e1metro m\u00e1s:\n", "\n", "$$ \\frac{dx}{dt} = (\\alpha x - r x^2) - \\beta x y $$\n", "$$ \\frac{dy}{dt} = -\\gamma y + \\delta y x $$" ] }, { "cell_type": "code", "collapsed": false, "input": [ "def df_dt_logistic(x, t, a, b, c, d, r):\n", " \n", " dx = a * x[0] - r * x[0]**2 - b * x[0] * x[1]\n", " dy = - c * x[1] + d * x[0] * x[1]\n", " \n", " return np.array([dx, dy])" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 16 }, { "cell_type": "code", "collapsed": false, "input": [ "# Par\u00e1metros\n", "a = 0.1\n", "b = 0.02\n", "c = 0.3\n", "d = 0.01\n", "r = 0.001\n", "\n", "# Condiciones iniciales\n", "x0 = 40\n", "y0 = 9\n", "conds_iniciales = np.array([x0, y0])\n", "\n", "# Condiciones para integraci\u00f3n\n", "tf = 200\n", "N = 800\n", "t = np.linspace(0, tf, N)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 17 }, { "cell_type": "code", "collapsed": false, "input": [ "solucion_logistic = odeint(df_dt_logistic, conds_iniciales, t, args=(a, b, c, d, r))" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 18 }, { "cell_type": "code", "collapsed": false, "input": [ "n_max = np.max(solucion) * 1.10\n", "\n", "fig, ax = plt.subplots(1,2)\n", "\n", "fig.set_size_inches(12,5)\n", "\n", "x_max = np.max(solucion_logistic[:,0]) * 1.05\n", "y_max = np.max(solucion_logistic[:,1]) * 1.05\n", "\n", "x = np.linspace(0, x_max, 25)\n", "y = np.linspace(0, y_max, 25)\n", "\n", "xx, yy = np.meshgrid(x, y)\n", "uu, vv = df_dt_logistic((xx, yy), 0, a, b, c, d, r)\n", "norm = np.sqrt(uu**2 + vv**2)\n", "uu = uu / norm\n", "vv = vv / norm\n", "\n", "ax[0].quiver(xx, yy, uu, vv, norm, cmap=plt.cm.gray)\n", "ax[0].plot(solucion_logistic[:, 0], solucion_logistic[:, 1], lw=2, alpha=0.8)\n", "ax[0].set_xlim(0, x_max)\n", "ax[0].set_ylim(0, y_max)\n", "ax[0].set_xlabel('presas')\n", "ax[0].set_ylabel('depredadores')\n", "\n", "ax[1].plot(t, solucion_logistic[:, 0], label='presa')\n", "ax[1].plot(t, solucion_logistic[:, 1], label='depredador')\n", "ax[1].legend()\n", "ax[1].set_xlabel('tiempo')\n", "ax[1].set_ylabel('poblaci\u00f3n')\n", "plt.savefig('campo_direcciones_ev_temporal_caso2.png')" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stderr", "text": [ "-c:16: RuntimeWarning: invalid value encountered in true_divide\n", "-c:17: RuntimeWarning: invalid value encountered in true_divide\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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qmwz4eHacMpISEhLXhw6f6Necl+iM48ePU1FRQVZWlih5s9nM+vXrKSgoED09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\nZDKGDRvG3Xff3W7jUVdXx6uvvor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"text": [ "" ] } ], "prompt_number": 19 }, { "cell_type": "markdown", "metadata": {}, "source": [ "En este caso se puede observar como el comportamiento deja de ser peri\u00f3dico. El punto cr\u00edtico que antes era un centro, se convierte en un atractor y la soluci\u00f3n tiende a estabilizarse en un n\u00famero fijo de presas y depredadores." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Referencias" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Si tienes curiosidad sobre como seguir perfeccionando este modelo o c\u00f3mo incluir otras especies, quiz\u00e1s quieras echar un vistazo a:\n", "\n", "* [Competitive Lotka\u2013Volterra equations](http://en.wikipedia.org/wiki/Competitive_Lotka%E2%80%93Volterra_equations) o [The Predator-Prey Equations](http://www.math.psu.edu/tseng/class/Math251/Notes-Predator-Prey.pdf)\n", "\n", "* [Presentaci\u00f3n ETSIINF-UPM](http://www.dma.fi.upm.es/docencia/mastercaci/2012-2013/sistemascomplejos/projects/lotka-volterra.pdf)\n", "\n", "* [Apuntes de ecuaciones diferenciales](http://matap.dmae.upm.es/WebpersonalBartolo/EDOoficial.html), Bartolom\u00e9 Luque Serrano (ETSIA-UPM).\n", "\n", "* Si te interesa ver c\u00f3mo realizar la integraci\u00f3n con diferentes m\u00e9todos, puedes visitar [Predator Prey Model - Bank Assignment of Numerical Mooc](http://nbviewer.ipython.org/github/numerical-mooc/assignment-bank/blob/master/Lessons.and.Assignments/Predator.Prey.Model/Predator.Prey.Model.ipynb)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Widgets" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from IPython.html.widgets import interact" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 20 }, { "cell_type": "code", "collapsed": false, "input": [ "def solucion_temporal_interact(a, b, c, d, x0, y0, tf):\n", " \n", " conds_iniciales = np.array([x0, y0])\n", "\n", " # Condiciones para integraci\u00f3n\n", " N = 800\n", " t = np.linspace(0, tf, N)\n", " \n", " solucion = odeint(df_dt, conds_iniciales, t, args=(a, b, c, d))\n", " \n", " plt.figure(\"Evoluci\u00f3n temporal\", figsize=(8,5))\n", " plt.title(\"Evoluci\u00f3n temporal\")\n", " plt.plot(t, solucion[:, 0], label='presa')\n", " plt.plot(t, solucion[:, 1], label='depredador')\n", " plt.xlabel('tiempo')\n", " plt.ylabel('poblaci\u00f3n')\n", " plt.legend()" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 21 }, { "cell_type": "code", "collapsed": false, "input": [ "interact(solucion_temporal_interact,\n", " a=(0.01,0.5), b=(0.01,0.5),\n", " c=(0.01,0.5), d=(0.01,0.5),\n", " x0=(1,80), y0=(1,50),\n", " tf=(50,300));" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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HDx6kpKSEpUuXMmfOHB5//HFKS0uNLtPrVBgDVCEDqJFDhQwgOVqT++67jyeeeMLoMhgw\nYABbtmxp0rKTJk3izTff9HBFnmf45XyvvfYagwYN4oEHHsBut1NRUcGHH35I//79mTx5MsnJySQn\nJzNjxgyjSxVCCOFFZ9+u16gamlqHO8s2J0P3+E+fPs2+ffu48sorATCbzQQGBrJ9+3bGjBkDwNix\nY9m2bZuRZTYLFcYAVcgAauRQIQNIjtbG03eQt9lsHl2ftzR3nYY2/tzcXEJCQnjhhRdYsGABL774\nIuXl5RQXFxMWFgZAaGgoxcXFja7HcfJkc5QrhBDCQ3bt2sXYsWPp1KkTf/jDH6ioqHDO++yzzxg9\nejRdu3blmmuu4eeff3bOGzBgAKtWrWLkyJF069aNP/3pT85lU1JS6NOnD88++yy9evVi9uzZ6LrO\nqlWrGDJkCAkJCdxxxx0UFRU51/fee+/Rv39/EhISWLFiRZ0af/jhB6666iq6du1K7969WbBgAVVV\nVc75X331FcOHD6dLly4sWLAAXdedH150Xefpp59mwIAB9OzZk3vvvZeTNb3qyJEjREREsHbtWvr3\n788NN9zg+V9wIwxt/Ha7nYyMDK666iqWL19OQEAAycnJdZ7jymGT019+6a0Sm40KY4AqZAA1cqiQ\nASSHqiorK5k5cybTpk0jIyODyZMns27dOjRNY9euXcyePZtVq1aRnp7O7bffzvTp0+s03Pfff58P\nPviAHTt2cOjQIZ5++mnnvLy8PIqKiti1axcrVqzgpZde4tNPP2X9+vXs3buXsLAw5s+fD8C+ffuY\nP38+//u//8vPP//MiRMnyMrKcq7LYrGwbNkyDh06xGeffcaWLVt49dVXASgoKOC2227jkUce4dCh\nQ3Tp0oXvvvvO2bPeeust3n33XdatW8eOHTsoKSlhwYIFdX4PW7du5bvvvuP999/32u+6PoY2/oiI\nCNq1a0dCQgIAI0aMICMjg7CwMOcnssLCQkJDQxtdT3qtDwspKSl1/pHJtExf6HRqaqpP1dOap1NT\nU32qnpY2fT7p7dp55L8LtX37dux2O/fccw9ms5nrr7+eQYMGoes6b7zxBrfddhuDBw9G0zSmTZuG\nv78/27dvB6p3Bu+8807i4uIICwtj7ty5fPjhh851m0wmFi5ciNVqJSAggNdff50///nPxMbGYrVa\nefDBB/nkk0+w2+188sknXH311YwYMQI/Pz8efvhhTKZf2+KAAQMYMmQIJpOJjh07ctttt/Htt98C\n8MUXX9CrVy8mTZqE2Wxm1qxZREVFOZd9//33ue++++jUqRNBQUE8+uijfPjhhzgcDudzFixYQJs2\nbfD392/wd+XO37chhn8t71/+8hfuvvtu4uLi+Oc//0llZSUAwcHBJCYmkpycTGlpaYMn923atImO\nr71G5HPPNWfZQgjh83z1a3k/+OAD1qxZw3/+8x/nY3fddRddunRh165dfPPNN1itVuc8m83G6tWr\nmTJlCgMHDuSpp55iwoQJAOzdu5fx48eTmZlJSkoKd999N3v27HEuGx8fj8ViqdPQKysr2b59O08/\n/TTBwcEsWbLEOa937968+OKLjB49mrS0NB555BF27tzJ6dOnsdvtDBw4kPXr17Nq1Sp27tzJa6+9\n5lz26quv5tZbb2XmzJmMGDGCpUuXOussLy8nPj6ePXv2UFlZyaBBg8jNzcVsNjf4e/LW1/Iaflb/\n73//e5577jlsNhvR0dHce++9OBwOVq5cyVdffUVkZCRJSUmNrsNRUtJM1QohhHBXTEwM2dnZdR47\nevQoXbp0IT4+nrlz5zJ37twGl8/MzHT+fOzYMWJiYpzTZw8Pd+jQgeeee45hw4ads57o6GgOHDjg\nnD59+jQnTpxwTs+bN48BAwbw6quvEhQUxJo1a1i3bp0zw8aNG53P1XW9Tl2xsbEcPXq0Tp0Wi4Wo\nqCiOHTtWb63NxfDr+Lt06cKyZct46qmnmDdvHoGBgQQHB7No0SJWr17NI488QlBQUKPrUKHxe+Lw\njdFUyABq5FAhA0gOVQ0bNgyz2cxLL71EVVUV69at48cff0TTNH73u9/x2muv8cMPP6DrOqWlpXz+\n+eeU1LzP67rOq6++SlZWFoWFhaxYsYIpU6Y0uK3bb7+dxx9/3Nls8/Pz+fTTTwG4/vrr+fzzz/nv\nf/9LZWUly5Ytq3MovqSkhODgYAIDAzlw4ECdvfsJEyawb98+1q9fj81m46WXXiI3N9c5f8qUKaxZ\ns4YjR444700zZcqUOkcejGJ8BR6gQuMXQojWwmq18sYbb/DOO+9w0UUXkZyczKRJkwAYOHAgq1at\nYsGCBXTr1o2hQ4fy7rvvOveONU3jxhtvZOrUqQwePJhu3brxwAMPONd99l70PffcwzXXXMPUqVPp\n1KkTV199NTt27ADg4osv5sknn+SPf/wjvXv3Jjw8nPj4eOeyS5cu5f3336dz584kJSVxww03ONcf\nERHBa6+9xmOPPUZCQgIZGRmMGDHCuezMmTO5+eabufbaaxk8eDCBgYEsX768wTqbk+Fj/O7atGkT\nUXPm0OHrr40uRQghfIqvjvG7Y+DAgTz77LOMHj3a6FK8zltj/LLHL4QQQrQiajT+U6eMLsFtKowB\nqpAB1MihQgaQHEJ4g+Fn9XuC7PELIUTr8NNPPxldQounxB4/Dgd6zfX/LZUK9/JWIQOokUOFDCA5\nhPAGJRq/KThY9vqFEEIIF0jj9xEqjAGqkAHUyKFCBpAcQniDEmP8WnAwegtv/EII4Q1nrlkX4gwl\nruOPXriQiKVLCRg+3OhyhBBCCK+S6/hR41C/EEII0RyUaPyaAo1fhTFAFTKAGjlUyACSw5eokAHU\nyeEOJRq/qW1bGeMXQgghXKDEGH+n997D2q0boXffbXQ5QgghhFfJGD/Ve/wq3LZXCCGE8DY1Gr+M\n8fsEFTKAGjlUyACSw5eokAHUyeEOJRq/XMcvhBBCuEaJMf7uBw5QtnkzUS++aHQ5QgghhFfJGD9q\nHOoXQgghmoMSjV+u4/cNKmQANXKokAEkhy9RIQOok8MdSjR+k4zxCyGEEC5RYoy/b2Agx2+7jY7f\nfWd0OUIIIYRXyRg/MsYvhBBCuEqNxh8S0uIbvwrjTipkADVyqJABJIcvUSEDqJPDHUo0fi0oCL20\nlBY+aiGEEEJ4nRJj/IMHDyajQwc679uHKTjY6JKEEEIIr3F3jN/iwVqa5L777qNNmzaYTCbMZjPL\nli2jpKSElStXkp+fT2RkJElJSQQFBTW6njPj/NL4hRBCiIb5xKH+xYsX8+STT7Js2TIAkpOT6d+/\nP6tXr6Zv374kJyefdx0t/Vp+FcadVMgAauRQIQNIDl+iQgZQJ4c7fKLxnz3asH37dsaMGQPA2LFj\n2bZt23nXYWrbFl2+oU8IIYRolOGH+jVNY+nSpZhMJsaPH8/48eMpLi4mLCwMgNDQUIqLi8+7HlNI\nCI6TJ71drteMGjXK6BLcpkIGUCOHChlAcvgSFTKAOjncYXjjX7p0KeHh4Zw8eZKlS5cSHx9fZ76m\naS6tp6U3fiGEEKI5GN74w8PDAQgJCWHYsGGkpaURGhpKUVERYWFhFBYWEhoa2ug6UlJS6FHT+M+M\n35z5VNdSps885iv1NGX67CxG19PU6dTUVGbNmuUz9TRl+sxjvlJPU6fXrFlDv379fKae1vz3kH/f\nvjMdGBiIOwy9nK+iogKHw0GbNm0oLy/niSee4MYbbyQ1NZXg4GASExNJTk6mtLSUGTNm1LuOM5fz\n5T/0EJaOHQm7995mTuEZKSkpLf4QlAoZQI0cKmQAyeFLVMgAauRw93I+Qxt/bm4uTz31FAAOh4NR\no0Zxww03XNDlfGca/4lly0DTaLdwYXNGEEIIIZpVi76OPyoqytn4awsODmbRokUXtC5TaCi2Y8c8\nVZoQQgihJJ+4nM8TTCEhOFw4+99XqXBtqQoZQI0cKmQAyeFLVMgA6uRwh1qNX67jF0IIIRqlzL36\nT2/eTNGqVcS5cJc/IYQQoqVyd4xfmT1+c2ioXMcvhBBCnIcyjV/G+I2nQgZQI4cKGUBy+BIVMoA6\nOdyhVuOXPX4hhBCiUcqM8esVFWR06kTXnByXb/MrhBBCtDQyxl9D8/dHM5vRy8qMLkUIIYTwWco0\nfmjZh/tVGHdSIQOokUOFDCA5fIkKGUCdHO6Qxi+EEEK0IsqM8QNkjh9PxN/+RsAllxhclRBCCOEd\nMsZfS0u/pE8IIYTwNvUafws91K/CuJMKGUCNHCpkAMnhS1TIAOrkcIdajV/u3ieEEEI0Sqkx/oJF\nizBHRhI2e7bBVQkhhBDeIWP8tcg39AkhhBCNU6vxt+BD/SqMO6mQAdTIoUIGkBy+RIUMoE4Od6jV\n+OWsfiGEEKJRSo3xl27cyKm1a4l5+22DqxJCCCG8Q8b4a2nJl/MJIYQQzUGtxh8a2mIP9asw7qRC\nBlAjhwoZQHL4EhUygDo53KFU4zeHh2MvKjK6DCGEEMJnKTXG7ygp4fDFF9P12DGDqxJCCCG8Q8b4\na9GCgtCrqnCUlxtdihBCCOGT1Gr8moY5PBxHCzzcr8K4kwoZQI0cKmQAyeFLVMgA6uRwh1KNH8AU\nFoajsNDoMoQQQgifZPgYv8PhYOHChbRr146FCxdSUlLCypUryc/PJzIykqSkJIKCghpcvvYYP0DW\nxImEL1pEm5Ejm6N8IYQQolm1+DH+jRs30qFDBzRNAyA5OZn+/fuzevVq+vbtS3Jy8gWtzxQeLnv8\nQgghRAMMbfwFBQX8+OOPXHnllZw58LB9+3bGjBkDwNixY9m2bdsFrbOlHupXYdxJhQygRg4VMoDk\n8CUqZAB1crjD0Mb/j3/8g5kzZ2Iy/VpGcXExYWFhAISGhlJ8gTfkMYeHY2+BjV8IIYRoDhajNvzD\nDz8QEhJC165d2bNnT73POXP4/3xSUlIYNWoUAEdPnkTLyyOs1jzAOV+mvTc9atQon6rHnekzfKWe\n1jp95jFfqac1T8u/b9+ZDgwMxB2Gndz39ttv8/XXX2MymaiqqqKsrIxhw4Zx6NAhFi9eTFhYGIWF\nhSxZsoRVq1Y1uJ6zT+47+f/+HxV79hD5zDPNEUMIIYRoVi325L7p06ezZs0a/v73v3P//ffTp08f\n/ud//odLLrmEzZs3A7BlyxaGDh16QeuVMX7jqJAB1MihQgaQHL5EhQygTg53GH5W/xlnDusnJiaS\nmprKnDlz2L17N4mJiRe0HjmrXwghhGiY4dfxu+vsQ/0VP/1E3v3306HmqIEQQgihkhZ7qN9bZI9f\nCCGEaJhyjb+lXs6nwriTChlAjRwqZADJ4UtUyADq5HCHco1fa9sWvbwcvarK6FKEEEIIn6PcGD/A\nLz160PGbbzBHRhpUlRBCCOEdMsZfj5Z6uF8IIYTwNiUbf0u8ll+FcScVMoAaOVTIAJLDl6iQAdTJ\n4Q4lG785PBx7UZHRZQghhBA+R8kx/txZs2gzZgxtp00zqCohhBDCO9wd47e4+sR9+/aRl5eH3W4H\nqu+0d+brc32NKSwM+4kTRpchhBBC+ByXDvU/++yzrF27lv3795Oenk56ejqHDh3ydm1NZm7fHkdB\ngdFlXBAVxp1UyABq5FAhA0gOX6JCBlAnhztc2uPPyMhgxYoVLn9NrtHMERFUHD5sdBlCCCGEz3Fp\nj79jx44UtqCz5M2Rkdhb2B5/7e8fb6lUyABq5FAhA0gOX6JCBlAnhztc2uM/efIkc+fOJSEhAYul\nehFN01iwYIFXi2sqc0QE9vx8o8sQQgghfI5Le/w33XQT8+fPZ8qUKVx//fVMmjSJSZMmebu2JjO1\nb9/iGr8K404qZAA1cqiQASSHL1EhA6iTwx0u7fH36dOHoqIi0tLS0DSNhIQEQkNDvV1bk5kjI1tc\n4xdCCCGaQ4PX8efl5RFZc6/7b7/9lrVr19K7d28A9u7dy8yZMxk5cmTzVdqA+q7j13WdjJgYuh45\ngubvb1BlQgghhOd57Tr+tLQ0/vvf/zJp0iQ+/PBDli1b5tzLP3nyJI899phPNP76aJrmHOe3xMcb\nXY4QQgjhMxoc4x85ciRhYWFA9R50SEiIc15wcDC+fsM/c/v2LerMfhXGnVTIAGrkUCEDSA5fokIG\nUCeHOxoP1wLEAAAgAElEQVQd47/88ssBGDhwIE888QSjRo1C13W+/fZbBg0a1CwFNpU5IgJ7Xp7R\nZQghhBA+xaV79eu6znfffce+ffvQNI1evXoxbNiw5qjvvOob4wfI/eMfaTN+PG1vvtmAqoQQQgjv\naJZ79WuaxogRIxgxYkSTN9TcTHItvxBCCHGORq/jX7RoEQC33norv/vd7+r8d9tttzVLgU1lbt8e\nRwtq/CqMO6mQAdTIoUIGkBy+RIUMoE4OdzS6x7906VIA3nzzzWYpxpPM7dvL/fqFEEKIs7g0xn/g\nwAE6dOhAYGAgAKdPnyYzM5Pu3bt7vcDzaWiMv3TDBk699RYxb79tQFVCCCGEd7g7xu/SLXtffvll\nAgICnNMBAQG8/PLLTd5oc5D79QshhBDncqnxA5hMpjo/OxwOrxTkKS3tG/pUGHdSIQOokUOFDCA5\nfIkKGUCdHO5w6az+qKgoNm7cyFVXXQXA559/TlRUlNsbr6ysZPHixVRVVWGz2Rg6dCjTp0+npKSE\nlStXkp+fT2RkJElJSQQFBV3Quk3t28t1/EIIIcRZXBrjLyoq4rXXXmPPnj0A9O3bl9///vce+aKe\niooK/P39sdvtPProo9x6661s376dtm3bMnnyZJKTkyktLWXGjBn1Lt/QGP+Z+/V3OXwYU61hCiGE\nEKIla5br+MPCwkhKSmryRhrjX/MlOjabDYfDQVBQENu3b2fx4sUAjB07lsWLFzfY+BuiaVr14f68\nPEwdO3q6bCGEEKJFcmmMv7Kykn//+9+88sorvPDCC87/PMHhcDB//nzuuusu+vTpQ8eOHSkuLnZ+\nT0BoaCjFxcVNWrclJgZ7To5H6vQ2FcadVMgAauRQIQNIDl+iQgZQJ4c7XGr8zz33HEVFRfz000/0\n7t2bgoKCOmf5u1WAycRTTz3Fiy++yN69e9m9e3ed+ZqmnXcdtf+QKSkpzmlzdDS7N29ucL5My3R9\n06mpqT5VT2ueTk1N9al6ZLrlT6v077upXBrjnz9/Pk899RTz5s3j6aefxmaz8eijj/LXv/7V7QJq\ne//99/Hz8+PLL79k8eLFhIWFUVhYyJIlS1i1alW9yzQ0xg+Q98AD+PXqReidd3q0TiGEEMIozXId\nv8VSfSpAYGAgR44c4fTp05w8ebLJGz3j5MmTlJaWAtXDCampqXTt2pVLLrmEzZs3A7BlyxaGDh3a\npPVboqOxHz/udp1CCKGaLT/8QmWV3ee/Yl14nkuNf9y4cZSUlDBt2jSWL19OUlIS119/vdsbLyoq\n4rHHHmP+/Pk8/PDDDBkyhH79+pGYmEhqaipz5sxh9+7dJCYmNmn95uhoGeNvRipkADVyqJABJIc3\nJa38jM0//EL2pEnkTJt23uf7YoamUCWHOyyuPGn8+PEA9O7dm7///e8e23inTp1Yvnz5OY8HBwc7\nvyDIHZbYWEplj18IIeoor7QBkFtYiuPUKcq//dbgikRzarTxr1u37pzHNE1D13U0TeO6667zWmGe\n0JL2+EeNGmV0CW5TIQOokUOFDCA5vOV4QQkAB48UcGVICACOkhJMwcENLuNrGZpKlRzuaLTxl5WV\n1XtW/ZnG7+vMMsYvhBDnyKlp/IWnytErKgCwZWbi17OnkWWJZtJo47/55pubqw6vMEdGYi8qQq+q\nQrNajS6nUSkpKS3+k6gKGUCNHCpkAMnhLdkFJbQPDcRmd6CXl2MKDz9v4/e1DE2lSg53uDTGn5OT\nw+uvv87BgwcB6NmzJ7fddhvR0dFeLc5dmtlc/S19ublY4uONLkcIIXxCTn4JHaJDqht/RQXWiy7C\nduyY0WWJZuLSWf3PPvssl156KS+99BIvvfQSI0aMYPXq1d6uzSPM0dHYWsDhfhU+gaqQAdTIoUIG\nkBzeklNQQsfoEGy26j1+a0ICtszMRpfxtQxNpUoOd7h8y97Ro0djsViwWCyMHj2aqqoqb9fmEZaY\nGBnnF0KIWnIKSugQFeI81G/t1u28jV+oo9HGX1JSwqlTpxg4cCAfffQRubm55ObmkpyczMCBA5ur\nRre0lBP8VLi2VIUMoEYOFTKA5PCWnIKaQ/02B47ycqwXXYT9PI3f1zI0lSo53NHoGP+CBQvqTP/n\nP/+pM32h35hnBHN0NLbsbKPLEEIIn6DrOsdr9vir7PbqMX4XDvULdTTa+D15sx6jWGJjqfjpJ6PL\nOC8Vxp1UyABq5FAhA0gObyg8WU4bfyvBgX7YK21QVYW1SxdsmZmNXqrtSxncoUoOd7h0Vr/NZuPz\nzz/n559/RtM0evfuzYQJE5z38Pdl5hb01bxCCOFtOQUlxEQEY7WYoaoSzd8fU9u2aP7+OE6cwBwR\nYXSJwstcOrnv5ZdfJj09nWuuuYarrrqK9PR0XnnlFW/X5hGW+PgWcQhLhXEnFTKAGjlUyACSwxuy\nC04R0z4Yi9mEVlmBVvMV65YOHRp9r/SlDO5QJYc7XNplP3ToEE8//bRzul+/fsybN89rRXmSpUMH\nuT5VCCFqnNnjt5hNaBW1Gn98PLZjx/Dv39/gCoW3ubTHbzabyal1uDwnJwez2ey1ojzJFBaGbrPh\n8MDXCHuTCuNOKmQANXKokAEkhzfk5Ndq/DWH+uH8O0m+lMEdquRwh0t7/DNnzmTJkiVER0ej6zp5\neXnce++93q7NIzRNcx7u96v5MgohhGitcgpK6JcQjdViwlRV6fKhfqEOl/b4e/bsyfjx49E0jbZt\n2zJ+/Hh69Ojh7do85swhLF+mwriTChlAjRwqZADJ4Q05BSXOMX5T5bmH+hviSxncoUoOd7jU+J9/\n/nlyc3OZOnUq11xzDbm5uTz//PPers1j5JOsEEJUyykoITYiGIvFBLW+wEzOh2o9XDrUf/ToUVau\nXOmc7tu3L0lJSV4rytNawgtahXEnFTKAGjlUyACSw9MqKm2cLK2gXWgbzCYTJhxQc77W+XaQfCWD\nu1TJ4Q6X9vi7du3KgQMHnNMHDhygW7duXivK01pC4xdCCG/LKSghul0wZlP1W79VA91U3fjNMTHY\n8/LQW8j3sIimc6nxp6ens2jRIu69917uu+8+Fi1aRHp6Og888ECLuKyvJTR+FcadVMgAauRQIQNI\nDk/LzDtFXGRb57S/Caj5EKBZLJgjI7E1cMMzX8ngLlVyuMOlQ/0PP/ywt+vwKhnjF0IIyMo7RXyt\nxm/RwKH9uv9niY/HnpmJtWNHI8oTzcSlxh8VFeXtOrzKEheHLTsb3W5H89H7D6gw7qRCBlAjhwoZ\nQHJ4WlbeKWJrNX6rBnrtxt/I0VFfyeAuVXK4w6VD/S2d5u+POSwMe26u0aUIIYRhsvLr7vFbNd3l\nxi/U0SoaP/j+C1qFcScVMoAaOVTIAJLD07LyThHXvlbjN4Fuqtv4q44erXdZX8ngLlVyuKN1Nf4j\nR4wuQwghDJN11sl9lrMO9Vu7dMH2yy8GVCaaU+tp/F26UHX4sNFlNEiFcScVMoAaOVTIAJLDk8rK\nqygtqyQiNND5mFXTcdQ678nSpQtVDTR+X8jgCarkcEerafzWrl2pSk83ugwhhDBEds238plMmvMx\nC3XH+K2dOmHLzES32YwoUTQTQxt/fn4+S5YsYe7cuTzwwANs3LgRgJKSEpYuXcqcOXN4/PHHKS0t\ndXtb1q5dffoQlgrjTipkADVyqJABJIcnZeaerHOYH8491K/5+2OJiqr3fChfyOAJquRwh0uX83lt\n4xYLt912G126dKG8vJwFCxbQv39/Nm/eTP/+/Zk8eTLJyckkJyczY8YMt7Zl7daNqowMD1UuhBAt\nS1b+qXMav1UDh6bVeczStStVGRlYu3RpxupEczJ0jz8sLIwuNS+ugIAA4uPjOXHiBNu3b2fMmDEA\njB07lm3btrm9LXNsLI7CQhxlZW6vyxtUGHdSIQOokUOFDCA5PKn65j11v5rcjKPOHj80fIKfL2Tw\nBFVyuMNnxvhzc3P55Zdf6N69O8XFxYSFhQEQGhpKcXGx2+vXzGYsHTv69OF+IYTwlsy8U8RGBtd5\nzISOw3RW46/Z4xfqMvRQ/xnl5eU888wz3H777bRp06bOPO2sw1D1SUlJcX6KOzN+U9+0tWtXdm3Y\nQHlBgUvPb87pM4/5Sj1NmT47i9H1NHU6NTWVWbNm+Uw9TZk+85iv1NPU6TVr1tCvXz+fqacl/z2O\nZBdzIieDlJQc5/zK06UUlP26Y5WSkkJAeTkdanaQ5N+3b04HBv56ZUZTaLqu626twU02m43ly5cz\ncOBArr32WgDuv/9+Fi9eTFhYGIWFhSxZsoRVq1bVu/ymTZsYPHiwS9vKX7gQS8eOhN13n8fq95Ta\nH15aKhUygBo5VMgAksNTHA6dy/7wKpvW3EZggNX5+Cs3z2F4cCX9/t8a52MVO3eS96c/0eHrr+us\nw+gMnqJCjh07djBu3LgmL2/ooX5d13nxxReJj493Nn2ASy65hM2bNwOwZcsWhg4d6pHtWbt189lD\n/S39hQhqZAA1cqiQASSHp+QUlBAaHFCn6QOYdb3Ol/RAzaH+X37h7H1CozN4iio53GHoof79+/fz\n9ddf06lTJx588EEApk+fTmJiIitXruSrr74iMjKSpKQkj2zP2rUrpz/7zCPrEkKIluJwThGdY0PP\nedyEXueWvQCmkBA0Pz/seXlYWvgXtIn6Gdr4L774Yt5777165y1atMjj22vsrlRGU+HwkwoZQI0c\nKmQAyeEph7OL6Rwbds7jZhw4tHPbgLVrV2zp6XUav9EZPEWVHO7wmbP6m4O1c2fsWVnolZVGlyKE\nEM3mSE4xnWLO3eM3o6PXcwK1tWdPKg8ebI7ShAFaVePX/PywdOpE1aFDRpdyDhU+gaqQAdTIoUIG\nkBye8kt2EV3q2eM36ToOk/mcx/169KBq//46jxmdwVNUyeGOVtX4oeaT7FkvaCGEUFmDe/y645yT\n+wCsPXpQeeBAc5QmDNDqGr9fz57nfJL1BSrcP1qFDKBGDhUygOTwhIpKG/lFp8+5XS+ACUe9h/r9\nevSg6qzGL38LdbS6xm/t0UP2+IUQrcbR49VfzmMxn/t2b6rncj4AS+fO2PPycHjgC9KE72l1jd/P\nRw/1qzDupEIGUCOHChlAcnhCQ+P7UP91/ACaxVJ9PX9amvMx+Vuoo9U1fmtCAraMDPm+aSFEq3Dw\naAHdO7ard56pgTF+kHF+lbW6xm8KDMQcE+Nz1/OrMO6kQgZQI4cKGUByeELakRMkNNT4cZzztbxn\nWM8a55e/hTpaXeMH3z3BTwghPO3g0UYav8NxzrfzneEn50Mpq1U2fl+8pE+FcScVMoAaOVTIAJLD\nXafLq8gvPk3H6HMv5YOaQ/0NtAG/iy+us4Mkfwt1tMrG73fxxVT+/LPRZQghhFcdOnaCLrFh9Z7R\nD9V37rM3dKi/e3dsx47Jmf0KapWN379/fypTU40uow4Vxp1UyABq5FAhA0gOd6UdPdHgiX0AWiN7\n/JrVWn2C3549gPwtVNIqG7/zk2xJidGlCCGE1xw8eoLuHSManF99HX/9e/wA/v36UeFjO0nCfa2y\n8WtWK369elG5e7fRpTipMO6kQgZQI4cKGUByuCutkRP7oPHL+QD8+venctcuQP4WKmmVjR/ATz7J\nCiEUput69TX8nRpp/A4H9kYav3+/fj61gyQ8o9U2fv/+/anYudPoMpxUGHdSIQOokUOFDCA53HEs\n9yRt/K1EhAY2+JzqPf6GD/X79elD5b596FVV8rdQSKtt/H4+eIKfEEJ4yp5DefTuFtnoczTdgb2R\nNmAKDsYSH0/VwYOeLk8YqPU2/t69qTp4EL2iwuhSADXGnVTIAGrkUCEDSA537EnPpW+3qEafY3I0\nvscPNcOiu3bJ30Ihrbbxm9q0wdK1K5V79xpdihBCeNyedFf2+HXsNN74/QcOpOLHHz1ZmjBYq238\nAAFDhlC+bZvRZQBqjDupkAHUyKFCBpAcTWWzO9h/OJ9eXds3+jyT7jhv4w8YNozy77+Xv4VCWnfj\nHz6c8u+/N7oMIYTwqPRjhcREBNM20L/R52l642f1A/gNGEDVwYNo5eWeLFEYqFU3fv/hw6n47juj\nywDUGHdSIQOokUOFDCA5mmp3ei59zjO+D2Cy2xs9uQ/AFBCAX+/eDA4I8FR5hlLlNeWOVt34rRdd\nhKOsDFtmptGlCCGEx+w6eJy+F52/8Vfv8Z9/fWcO9ws1tOrGr2maz7ygVRh3UiEDqJFDhQwgOZpq\nx75shvSKPe/zNEfjl/Od4T9sGNn//rcnSjOcKq8pd7Tqxg/ySVYIoZacghJKyirpFh9+3udWf0nP\n+Xf5A4YOxW//fnRd90SJwmAWIzf+wgsv8OOPPxISEsIzzzwDQElJCStXriQ/P5/IyEiSkpIICgry\nWg0Bw4eT//DDXlu/q1QYd1IhA6iRQ4UMIDma4oe9WQy5OBbtPNfnQ/UYv+08J/cBWGJj8WvXjqp9\n+/Dr1csTZRpGldeUOwzd47/iiit4+Kymm5ycTP/+/Vm9ejV9+/YlOTnZqzX4DxpEVVoa9qIir25H\nCCGaQ/Vh/jiXnqvZbdg0s0vPbTN6NGVbtrhTmvARhjb+Xr16nbM3v337dsaMGQPA2LFj2ebl6+w1\nf38Chg+n7P/+z6vbOR8Vxp1UyABq5FAhA0iOpti+N4vBF59/fB9Ac3GPH+BwbKwSjV+V15Q7fG6M\nv7i4mLCwMABCQ0MpLi72+jbbjB1L2ebNXt+OEEJ4U+6JUk6WVpDQoeFv5KtNs9uwudgGKvv3p+zb\nb9GrqtwpUfgAn2v8tbkyRuUJgVdcYXjjV2HcSYUMoEYOFTKA5LhQ3+46yrA+8ZhMrr13anb7eW/g\nc8alEydi7dqVih9+cKdEw6nymnKHzzX+0NBQimrG2wsLCwkNDT3vMrUP3aSkpFzw9PcFBehlZVRl\nZDRpeZmWaZmWaV+YTt60g+jACpefbysvI6+o2OXnFyQksP+NN3wmb2ufbipNN/j6jNzcXJYvX+48\nq3/t2rUEBweTmJhIcnIypaWlzJgxo8HlN23axODBg92v4557CBg2jJA77nB7XU2RkpLS4j+JqpAB\n1MihQgaQHBeissrO+Hvf4ONnphEe0salZQ5278mrv13E3x6bed7npqSkMNhmo/CJJ4j/4gt3yzWM\nCq+pHTt2MG7cuCYvb+ge/6pVq1i0aBFZWVnMmjWLr776isTERFJTU5kzZw67d+8mMTGxWWoJvOoq\nSj/9tFm2JYQQnvbj/my6xIW53PQBuIAxfoA2l15K1aFD2LKzm1Ch8BWG7/G7y1N7/I5Tpzjcpw+d\nd+/GFBLigcqEEKL5PL32W0KD/LnrhiEuL5PWqTPP376cVY9Nc3mZ3LvvJmD4cMOOjooWvsfvS0xt\n29Lmsss4/fnnRpcihBAXRNd1/m/HYS4f1PnCFryAy/nOCJw4kdINGy5sO8KnSOOvJfDaayldt86Q\nbXvihA2jqZAB1MihQgaQHK7ak56HyaTRs3PEBS2n2W1UuXDLXvg1Q+C4cZRv24a9GS619gZVXlPu\nkMZfS9BvfsPpzZtxnD5tdClCCOGyz7amcfWIiy78Emi7naoLbAOm4GDajBrFaUW+tKc1ksZfizki\ngoChQzm9cWOzb7uln2UKamQANXKokAEkhyvsDgeff3eIq0cmXNByuq5X37lPd+3DQu0MwTfeSMm7\n717Q9nyFKq8pd0jjP0vb3/6WU2+9ZXQZQgjhkp/25xDeto1L38ZXR1UVutlCld1xwdsMnDiRip07\nsR07dsHLCuNJ4z9L4LXXUrFrV7O/oFUYd1IhA6iRQ4UMIDlc8fGW/Uy8rPsFL6fbbGC1UGVzrfHX\nzmAKCCAoMZFT//znBW/XaKq8ptwhjf8spoAAgm+4gVMt9DCWEKL1KDpVzuYdvzBpdI8LX9hmQ7NY\nqayyN2nbbadNo+Sdd2jhV4S3StL469F25kxOvfFG9SfiZqLCuJMKGUCNHCpkAMlxPuu/PsDoQZ0J\nb3sBN+2podtsYDFjc/FQ/9kZ/IcOBT8/yr766oK3bSRVXlPukMZfD/+BA7F07EjpJ58YXYoQQtTL\n4dB5/8ufuWlc7yYtr1dVubXHr2kaoffcQ/GaNU1aXhhHGn8DQu+9l+IXXmi2w1gqjDupkAHUyKFC\nBpAcjfm/Hw8TGGClf/fopq2gqgrNYqHK5lrjry9D8E03UZmaSuX+/U2rwQCqvKbcIY2/AYHXXIO9\nsJDy//7X6FKEEKIOXdd5JXkHd04e3OSvL9ftdrQLOLmvPqaAANrefjvFf/97k9chmp80/gZoZjNh\nc+ZQuGxZs+z1qzDupEIGUCOHChlAcjRka+oxKqpsjB3Spcnr0Kuq0KxWl/f4G8oQevfdlG7cSFV6\nepNraU6qvKbcIY2/EW2nT8eek9PiTl4RQqjL4dB58YPt3HH9IEympu3tAzVn9VvQ9eqbADWVOTyc\n0LvvpnD58qbXIpqVNP5GaBYL4Q89xIn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"text": [ "" ] } ], "prompt_number": 22 }, { "cell_type": "code", "collapsed": false, "input": [ "def mapa_fases_interact(a, b, c, d, x0, y0, tf):\n", " \n", " conds_iniciales = np.array([x0, y0])\n", "\n", " # Condiciones para integraci\u00f3n\n", " N = 800\n", " t = np.linspace(0, tf, N)\n", " \n", " solucion = odeint(df_dt, conds_iniciales, t, args=(a, b, c, d))\n", " \n", " x_max = np.max(solucion[:,0]) * 1.05\n", " y_max = np.max(solucion[:,1]) * 1.05\n", "\n", " x = np.linspace(0, x_max, 25)\n", " y = np.linspace(0, y_max, 25)\n", "\n", " xx, yy = np.meshgrid(x, y)\n", " uu, vv = df_dt((xx, yy), 0, a, b, c, d)\n", " norm = np.sqrt(uu**2 + vv**2)\n", " uu = uu / norm\n", " vv = vv / norm\n", "\n", " plt.figure(\"Campo de direcciones\", figsize=(8,5))\n", " plt.quiver(xx, yy, uu, vv, norm, cmap=plt.cm.gray)\n", " plt.plot(solucion[:, 0], solucion[:, 1])\n", " plt.xlim(0, x_max)\n", " plt.ylim(0, y_max)\n", " plt.xlabel('presas')\n", " plt.ylabel('depredadores')\n", " plt.savefig('campo_direcciones.png')" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 23 }, { "cell_type": "code", "collapsed": false, "input": [ "interact(mapa_fases_interact,\n", " a=(0.01,0.5), b=(0.01,0.5),\n", " c=(0.01,0.5), d=(0.01,0.5),\n", " x0=(1,80), y0=(1,50),\n", " tf=(50,300));" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stderr", "text": [ "-c:20: RuntimeWarning: invalid value encountered in true_divide\n", "-c:21: RuntimeWarning: invalid value encountered in true_divide\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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Uk1QfHUMMMcQQQwyXwsXqtP+i3OPt7e3YbDb+8Ic/UF9fT1ZWFt/61rfw+XwRF57dbsfn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gLMSlYZHBzkb3/7GyqVCk9P89oqlpWVsXr1anQ6ndn7ZsOGDVy8eNHYKEcU/f39vPPOO9ja2gqz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k4erqypkzZ2jRogVLly4lLCxM9ILbuHFjHjx4QHZ2NidPnqR9+/aiTpCampoYGRnh7e3N0qVL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\nQOKBC1XO9Q4ODqZr166UlJRI4q+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"text": [ "" ] } ], "prompt_number": 24 }, { "cell_type": "markdown", "metadata": {}, "source": [ "# \u00bf\u00bfTe atreves con alguna otra??" ] }, { "cell_type": "raw", "metadata": {}, "source": [ "# Install IPython magic extension in a notebook to display information about\n", "# which versions of dependency package that was used to run the notebook.\n", "%install_ext http://raw.github.com/jrjohansson/version_information/master/version_information.py" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%load_ext version_information" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 25 }, { "cell_type": "code", "collapsed": false, "input": [ "%version_information, numpy, matplotlib, scipy" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "
SoftwareVersion
Python3.4.2 64bit [GCC 4.4.7 20120313 (Red Hat 4.4.7-1)]
IPython2.3.1
OSLinux 3.13.0 37 generic x86_64 with debian jessie sid
numpy1.9.1
matplotlib1.4.2
scipy0.15.0
Thu Jan 22 19:40:58 2015 CET
" ], "json": [ "{\"Software versions\": [{\"module\": \"Python\", \"version\": \"3.4.2 64bit [GCC 4.4.7 20120313 (Red Hat 4.4.7-1)]\"}, {\"module\": \"IPython\", \"version\": \"2.3.1\"}, {\"module\": \"OS\", \"version\": \"Linux 3.13.0 37 generic x86_64 with debian jessie sid\"}, {\"module\": \"numpy\", \"version\": \"1.9.1\"}, {\"module\": \"matplotlib\", \"version\": \"1.4.2\"}, {\"module\": \"scipy\", \"version\": \"0.15.0\"}]}" ], "latex": [ "\\begin{tabular}{|l|l|}\\hline\n", "{\\bf Software} & {\\bf Version} \\\\ \\hline\\hline\n", "Python & 3.4.2 64bit [GCC 4.4.7 20120313 (Red Hat 4.4.7-1)] \\\\ \\hline\n", "IPython & 2.3.1 \\\\ \\hline\n", "OS & Linux 3.13.0 37 generic x86\\_64 with debian jessie sid \\\\ \\hline\n", "numpy & 1.9.1 \\\\ \\hline\n", "matplotlib & 1.4.2 \\\\ \\hline\n", "scipy & 0.15.0 \\\\ \\hline\n", "\\hline \\multicolumn{2}{|l|}{Thu Jan 22 19:40:58 2015 CET} \\\\ \\hline\n", "\\end{tabular}\n" ], "metadata": {}, "output_type": "pyout", "prompt_number": 26, "text": [ "Software versions\n", "Python 3.4.2 64bit [GCC 4.4.7 20120313 (Red Hat 4.4.7-1)]\n", "IPython 2.3.1\n", "OS Linux 3.13.0 37 generic x86_64 with debian jessie sid\n", "numpy 1.9.1\n", "matplotlib 1.4.2\n", "scipy 0.15.0\n", "Thu Jan 22 19:40:58 2015 CET" ] } ], "prompt_number": 26 } ], "metadata": {} } ] }