{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "Matplotlib - Descripciones\n", "==" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Vamos a iniciar a trabajar con matplotlib aprendiendo a agregar comentarios y descripciones a los gráficos, para ello crearemos un gráfico con tres curvas en el dominio x = [0, 2] y adicionaremos 100 puntos equiespaciados dentro del dominio mediante:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "ExecuteTime": { "end_time": "2023-12-26T03:54:04.358813100Z", "start_time": "2023-12-26T03:53:54.556788600Z" } }, "outputs": [], "source": [ "import numpy as np" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Luego podemos crear las curvas utilizando el método plot() en donde pasamos como parámetros:\n", ">Primero los puntos correspondientes a la coordenada en x.\n", "\n", ">Segundo los puntos de la coordenada en y.\n", "\n", ">Tercero el color de línea o el tipo de representación para los puntos de la línea, si en lugar de poner ‘pink’ ponemos ‘+’ cada punto es representado por un signo de (+).\n", "\n", ">Cuarto el atributo label con la descripción de la curva. Para que la descripción salga en pantalla debemos agregamos el método legend().\n" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "ExecuteTime": { "end_time": "2023-12-26T03:54:04.423048100Z", "start_time": "2023-12-26T03:54:04.306709900Z" } }, "outputs": [ { "data": { "text/plain": "array([0. , 0.02020202, 0.04040404, 0.06060606, 0.08080808,\n 0.1010101 , 0.12121212, 0.14141414, 0.16161616, 0.18181818,\n 0.2020202 , 0.22222222, 0.24242424, 0.26262626, 0.28282828,\n 0.3030303 , 0.32323232, 0.34343434, 0.36363636, 0.38383838,\n 0.4040404 , 0.42424242, 0.44444444, 0.46464646, 0.48484848,\n 0.50505051, 0.52525253, 0.54545455, 0.56565657, 0.58585859,\n 0.60606061, 0.62626263, 0.64646465, 0.66666667, 0.68686869,\n 0.70707071, 0.72727273, 0.74747475, 0.76767677, 0.78787879,\n 0.80808081, 0.82828283, 0.84848485, 0.86868687, 0.88888889,\n 0.90909091, 0.92929293, 0.94949495, 0.96969697, 0.98989899,\n 1.01010101, 1.03030303, 1.05050505, 1.07070707, 1.09090909,\n 1.11111111, 1.13131313, 1.15151515, 1.17171717, 1.19191919,\n 1.21212121, 1.23232323, 1.25252525, 1.27272727, 1.29292929,\n 1.31313131, 1.33333333, 1.35353535, 1.37373737, 1.39393939,\n 1.41414141, 1.43434343, 1.45454545, 1.47474747, 1.49494949,\n 1.51515152, 1.53535354, 1.55555556, 1.57575758, 1.5959596 ,\n 1.61616162, 1.63636364, 1.65656566, 1.67676768, 1.6969697 ,\n 1.71717172, 1.73737374, 1.75757576, 1.77777778, 1.7979798 ,\n 1.81818182, 1.83838384, 1.85858586, 1.87878788, 1.8989899 ,\n 1.91919192, 1.93939394, 1.95959596, 1.97979798, 2. ])" }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "x = np.linspace(0, 2, 100)\n", "x" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "ExecuteTime": { "end_time": "2023-12-26T03:54:06.478706400Z", "start_time": "2023-12-26T03:54:04.394229Z" } }, "outputs": [ { "data": { "text/plain": "" }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, { "data": { "text/plain": "
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" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt \n", "x = np.linspace(0, 2, 100)\n", "plt.plot(x, x, 'pink', label='lineal')\n", "plt.plot(x, x**2, label='cuadratica')\n", "plt.plot(x, x**3, label='cubica')\n", "\n", "plt.legend()" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "ExecuteTime": { "end_time": "2023-12-26T03:54:07.322060200Z", "start_time": "2023-12-26T03:54:06.475115500Z" } }, "outputs": [ { "data": { "text/plain": "
", "image/png": 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9Hnv37q3UPMPU5qrp06fz4IMP8vLLL9OmTRvWrFnDuHHjeO211xg1alSx40+uyUlJSaFhw4Zs3bq11IXqPJHdbmf+/Pn06tULq9VqdjhVRuVWuWsClVvl9nTesx4mfdVXxLyeTnJyMqGhoZV2LVObqx588EEeeeQRhg8fDkC7du3YvXs3zz//fIlJjs1mw2azFdtfu3btMq154ynsdjsBAQGEh4fXmD8KULlV7ppB5Va5PVraQdjxI142VxeTyu5qYuoq5JmZmcXa4ry9vXE6nSZFJCIiIpXm7w/AkYuzXucquZypNTlDhgzh2WefpWHDhrRp04bVq1fz2muvcdNNN5kZloiIiFS03AxY4RpN7ew8Bphf6Zc0Ncl56623ePLJJ7nzzjtJTEykXr163HbbbTz11FNmhiUiIiIVbfUXkJ0MtZtgxPWpkkuamuQEBwczefJkJk+eXKnXcTgc2O32Sr1GVbLb7fj4+JCdnY3D4TA7nCpTWrmtVive3t4mRiYiIqfkdMDyd1zb3caCV9X8m+3RC3QahsHBgwdJTk42O5QKZRgGUVFR7N27t0bND3SqcoeFhREVFVWjPg8RkWpj8y9wbBf414YOIyEtq0ou69FJTkGCExkZSUBAgMd8ATqdTtLT0wkKCqrcSZTcTEnlNgyDzMxMEhMTAYiOjjYzRBEROZlhwJI3XdvnjQHfAEBJzllxOByFCY6nDS93Op3k5ubi5+dX45Kcksrt7+8PQGJiIpGRkWq6EhFxJ3v/gv0rwdsGXW6p0kt77DdkQR+cgIAAkyORqlBwnz2p75WIiEdY+pbrZ4drICiySi/tsUlOAU9popJT030WEXFDR7bB5l9d293uqvLLe3ySIyIiIiZZ+hZgQItBENGiyi+vJMcN9ezZk3HjxgHQqFGjSh9if7Jdu3ZhsVhYs2ZNlV5XREQ8SNohWPula7v7vaaE4LEdjz3FihUrCAwMNDsMERGR8vnrPXDkQkxXaHi+KSEoyXFzERERZocgIiJSPjlphUs4mFWLA2qucnsnN1dZLBY++ugjrrvuOoKCgmjWrBk//fRTkfesX7+egQMHEhQURN26dbn++us5cuRI4euzZs2iR48ehIWFER4ezuDBg4mPj6+qIomIiKdb9SnkpEB4M2g+0LQwalaSYxjgcFT9wzAqtBiTJk1i6NChrFmzhkGDBnHttddy9OhRAJKTk7nkkks455xzWLlyJbNmzeLQoUMMGzas8P0ZGRncf//9rFy5knnz5uHl5cUVV1yh1d9FROTs5eXC8v9zbXe/B0ycz61mNVc5nbB4ddVft8c5UIET1I0aNYqrrrqKkJAQnnvuOd58803+/vtvBgwYwNtvv80555zDc889V3j8J598QkxMDFu3bqV58+ZceeWVRc73ySefEBERwcaNG2nbtm2FxSkiIjXQ+m8hdT8E1YX215gaSs2qyfEQ7dq1K9wODAwkJCSkcFmDtWvXMn/+fIKCggofLVu2BChsktq2bRsjRoygSZMmhISE0KhRIwD27NlTtQURERHP4nQeX8Lh/DvAx2ZqODWrJsfLy1WrYsZ1K5DVai3y3GKxFDY1paenM2TIEF588cVi7ytY12nIkCHExsby4YcfUq9ePZxOJ23btiU3N7dC4xQRkRpm+xw4vAl8g+HcG82OpoYlORZLhTYbuaNOnTrx3Xff0ahRI3x8it/epKQktmzZwocffsiFF14IwOLFi6s6TBER8URL3nD97Dwa/MPMjARQc5XHGTt2LEePHmXEiBGsWLGC+Ph4Zs+ezY033ojD4aBWrVqEh4fzwQcfsH37dv744w/uv/9+s8MWEZHqbs9fsHsJeFmh6x1mRwMoyfE49erVY8mSJTgcDvr160e7du0YN24cYWFheHl54eXlxfTp01m1ahVt27blvvvu4+WXXzY7bBERqe4Wv+762eEaCK1vbiz5alZzVTWxYMGCwu1du3YVec0wDJxOJ6mpqYX7kpOTixzTrFkzvv/++1LP36dPHzZu3FjsvAUaNWpU5LmIiMgpHdoIW38DLNB9nNnRFFJNjoiIiJydJZNdP1tfBnWamRrKiZTkiIiIyJk7thvWfeva7nGfubGcREmOiIiInLmlb4HhgCa9oJ4J07ScgpIcEREROTPph2H1565tN6vFASU5IiIicqb+ehfysqH+udD4IrOjKUZJjoiIiJRfdir8/ZFru8d9rgl33YySHBERESm/VVMgJwXqtIAWl5odTYmU5IiIiEj52LNh2Tuu7R7jKnyNxorinlGJiIiI+1r9OaQfgtAYaHuV2dGUSkmOANCzZ0/GjRtXaee3WCz88MMPlXZ+ERGpIg47LHnTtd39XvDxNTeeU1CSIxVqwoQJdOzYsdj+hIQEBg4cWPUBiYhIxfr3a0jZA4GRcM51ZkdzSlq7SsokNzcXX98zz9ajoqIqMBoRETGF0wGLX3NtX3AXWP3Njec0VJPjhpxOJy+99BJxcXHYbDYaNmzIs88+y4IFC7BYLEUW5FyzZg0Wi6VwIc+kpCRGjBhB/fr1CQgIoF27dnz55ZdFzp+RkcENN9xAUFAQ0dHRvPrqq8ViaNSoEZMmTeKGG24gJCSEW2+9FYCHH36Y5s2bExAQQJMmTXjyySex2+0ATJ06lYkTJ7J27VosFgsWi4WpU6cCxZur9u3bx4gRI6hduzaBgYF07tyZv/76C4D4+Hguv/xy6tatS1BQEOeddx5z586toE9XRETO2MYfIWk7+IVB55vMjua0alRNjmEYZNkdVX5df6s3lnLMH/Doo4/y4Ycf8vrrr9OjRw8SEhLYvHlzmd6bnZ3Nueeey8MPP0xISAi//vor119/PU2bNqVLly4APPjggyxcuJAff/yRyMhIHnvsMf75559izUyvvPIKTz31FE8//XThvuDgYKZOnUq9evVYt24dt9xyC8HBwTz00ENcc801rF+/nlmzZhUmJaGhocViTE9P5+KLL6Z+/fr89NNPREVF8c8//+B0OgtfHzRoEM8++yw2m43PPvuMIUOGsGnTJsLCwsr8OYqISAUyDPgz/z/F598BtmBz4ymDGpXkZNkdtH5qdpVfd+N/+xPgW7aPOi0tjTfeeIO3336bUaNGAdC0aVN69OjBggULTvv++vXrM378+MLnd999N7Nnz+brr7+mS5cupKen8/HHH/O///2P3r17A/Dpp5/SoEGDYue65JJLeOCBB4rse+KJJwq3GzVqxPjx45k+fToPPfQQ/v7+BAUF4ePjc8rmqWnTpnH48GFWrFhB7dq1AYiLiyt8vUOHDnTo0KHw+aRJk5gxYwY///wz119//Wk/AxERqQRbZ8Gh9eAbBF1uNTuaMqlRSU51sGnTJnJycgoTkPJyOBw899xzfP311+zfv5/c3FxycnIICAgAXE1Bubm5dO3atfA9tWvXpkWLFsXO1blz52L7vvrqK958803i4+NJT08nLy+PkJCQcsW4Zs0azjnnnMIE52Tp6elMmDCBX3/9lYSEBPLy8sjKymLPnj3luo6IiFQQw4BFr7i2z7sZAkr+99vd1Kgkx9/qzcb/9jflumU+1r/0Tlxe+ZMtGYZRuK+gP0yBl19+mTfeeIPJkyfTrl07AgMDGTduHLm5ueWMGgIDA4s8X7ZsGddeey0TJ06kf//+hIaGMn369BL79JzKqcoIMH78eObMmcMrr7xCXFwc/v7+XHXVVWdUBhERqQA7F8L+leDjB93uMjuaMqtRSY7FYilzs5FZmjVrhr+/P/PmzWPMmDFFXouIiABcw7ELmpfWrFlT5JglS5Zw+eWXc911rmF9TqeTrVu30rp1a8DV9GW1Wvnrr79o2LAhAMeOHWPr1q1cfPHFp4xt6dKlxMbG8vjjjxfu2717d5FjfH19cThO3e+pffv2fPTRRxw9erTE2pwlS5YwevRorrjiCsBVs7Nr167TxiciIpWkoBan0w0QFGluLOVg6uiqRo0aFY7COfExduxYM8MylZ+fHw8//DAPPfQQn332GfHx8SxfvpyPP/6YuLg4YmJimDhxIvHx8fz666/FalGaNWvGnDlzWLp0KZs2beK2227j0KFDha8HBQVx88038+CDD/LHH3+wfv16Ro8eXVhLdCrNmjVjz549TJ8+nfj4eN58801mzJhR5JhGjRqxc+dO1qxZw5EjR8jJySl2nhEjRhAVFcXQoUNZsmQJO3bs4LvvvmPZsmWF1/n+++9Zs2YNa9euZeTIkYWdkkVEpIrtWQ67/gQvK1xwj9nRlIupSc6KFStISEgofMyZMweAq6++2sywTPfkk0/ywAMP8NRTT9GqVSuuueYaEhMTsVqtfPnll2zZsoUePXrw8ssv88wzzxR57xNPPEGnTp3o378/PXv2LEwmTvTyyy9z4YUXMmTIEPr06UOPHj0499xzTxvXZZddxn333cddd91Fx44dWbp0KU8++WSRY6688koGDBhAr169iIiIKDZ8HVy1Pb///juRkZEMGjSIdu3a8cILL+Dt7WrWe+2116hVqxYXXHABQ4YMoX///nTq1Kmcn6KIiFSIhS+5fnYcCWEx5sZSThbjxA4eJhs3bhy//PIL27ZtK3HIdU5OTpGagdTUVGJiYkhISCA8PLzIsdnZ2ezdu5dGjRrh5+dX6bFXJcMwSEtLIzg4uFxD06u7U5U7OzubXbt2ERMT43H32263M2fOHPr27YvVajU7nCqjcqvcNYG7l9uyfxU+U/tjWLzJu+MvqNWoQs6blJREdHQ0KSkp5R68Uh5uk+Tk5uZSr1497r//fh577LESj5kwYQITJ04stn/atGmFo4cKFAxjjomJOauZeqV6yM3NZe/evRw8eJC8vDyzwxER8Qhd418lKnUte2pfyOrYWyrsvJmZmYwcObLmJDlff/01I0eOZM+ePdSrV6/EY1ST46KaHNXk1AQqt8pdE7h1uRPWYP2kD4bFi7zbl0HtphV26qqqyXGboUYff/wxAwcOLDXBAbDZbNhstmL7rVZrsV8Oh8OBxWLBy8urTJ1qq5OCTrgF5aspTlVuLy8vLBZLib8LnsKTy3YqKnfNonK7kaWTAbC0uxpr3ZYVeuqqKqtbJDm7d+9m7ty5fP/992aHIiIiIgfXweZfAAtcOP60h7srt6gGmDJlCpGRkVx66aVmhyIiIiKLXnb9bHMFRDQ3N5azYHqS43Q6mTJlCqNGjcLHxy0qlkRERGquxE2w8SfX9kUPmhvLWTI9yZk7dy579uzhppvcf8l2ERERj7foFcCAVkOgbmuzozkrpled9OvXDzcZ4CUiIlKzHd4K679zbVfzWhxwg5ocERERcRMLXwQMaDkYojuYHc1ZU5LjYaZOnUpYWNgpj5kwYQIdO3asknhERKSaOLzleC3OxQ+ZG0sFUZJTA40fP5558+aZHYaIiLiThS/hSbU44AZ9cqTqBQUFERQUZHYYIiLiLhI3n1CL87C5sVQg1eS4IafTyUsvvURcXBw2m42GDRvy7LPPsmDBAiwWC8nJyYXHrlmzBovFwq5du4qc44cffqBZs2b4+fnRv39/9u7dW/haSc1Vn3zyCW3atMFmsxEdHc1dd91V+Nprr71Gu3btCAwMJCYmhjvvvJP09PTKKLqIiJhh0Ym1OO3NjqbC1KyaHMMAe2bVX9caAOVYY+rRRx/lww8/5PXXX6dHjx4kJCSwefPmMr8/MzOTZ599ls8++wxfX1/uvPNOhg8fzpIlS0o8/t133+X+++/nhRdeYODAgaSkpBQ51svLizfffJPGjRuzY8cO7rzzTh566CH+7//+r8wxiYiIm0rcDOvzVxzo+Yi5sVSwmpXk2DPhudLXxqo0jx0A38AyHZqWlsYbb7zB22+/zahRowBo2rQpPXr0YMGCBWU6h91u5+2336Zr164AfPrpp7Rq1Yq///6bLl26FDv+mWee4YEHHuDee+8t3HfeeecVbo8bN65wu1GjRjzzzDPcfvvtSnJERDxBwYiqVkMgqp3Z0VQoNVe5mU2bNpGTk0Pv3r3P+Bw+Pj5FkpSWLVsSFhbGpk2bih2bmJjIgQMHTnm9uXPn0rt3b+rXr09wcDDXX389SUlJZGaaUCsmIiIVJ3ETbJjh2r7Ys2pxoKbV5FgDXLUqZly3jPz9/Ut9rWDl7RMnT7Tb7Wce12muB7Br1y4GDx7MHXfcwbPPPkvt2rVZvHgxN998M7m5uQQElL1sIiLiZgprcS6DqLZmR1PhalZNjsXiajaq6kc5+uM0a9YMf3//Eod4R0REAJCQkFC4b82aNcWOy8vLY+XKlYXPt2zZQnJyMq1atSp2bHBwMI0aNSp1SPmqVatwOp28+uqrnH/++TRv3pwDB0xIFEVEpGId2nBCLY7njKg6Uc2qyakG/Pz8ePjhh3nooYfw9fWle/fuHD58mA0bNnDDDTcQExPDxIkTeeSRRzhw4ACvvvpqsXNYrVbuvvtu3nzzTXx8fLjrrrs4//zzS+yPA67RVrfffjuRkZEMHDiQtLQ0lixZwt13301cXBx2u5233nqLIUOGsGTJEt57773K/hhERKSyzX/O9bP1UI+sxYGaVpNTTTz55JM88MADPPXUU7Rq1YprrrmGxMRErFYrX375JVu2bKFHjx68/PLLPPPMM8XeHxAQwMMPP8zIkSPp3r07QUFBfPXVV6Veb9SoUUyePJn/+7//o02bNgwePJht27YB0KFDB1577TVefPFF2rZtyxdffMHzzz9faWUXEZEqcGA1bP4FsEDPR82OptJYjGq8OmZqaiqhoaEcOXKE8PDwIq9lZ2ezc+dOGjdujJ+fn0kRVg6n00lqaiohISGF/XRqglOV25Pvt91uZ+bMmQwaNAir1Wp2OFVG5Va5awLTyv3F1bDtd2g3DK78sOqumy8pKYk6deqQkpJCSEhIpV2n5nxDioiICOz925XgWLw9bl6ckynJERERqUnmP+v62XEEhDc1N5ZKpiRHRESkpti1GHYsAC8rXOQZK42fipIcERGRmsAw4I/8WpxO10OtWHPjqQIen+RU437VUg66zyIip7FjPuxZCt42uHC82dFUCY9Ncgp6qWvpgZqh4D7XpFEZIiJldmItTucbIbS+ufFUEY+dDNDb25uwsDASExMB19wxlnLMPOzOnE4nubm5ZGdn17gh5CeX2zAMMjMzSUxMJCwsDG9vb5OjFBFxQ1tnwf6V4OMPPe43O5oq47FJDkBUVBRAYaLjKQzDICsrC39/f49J3MriVOUOCwsrvN8iInICpxPmTXJtn387BNc1N54q5NFJjsViITo6msjIyLNeyNKd2O12Fi1axEUXXVSjmmdKK7fValUNjohIaTZ8D4kbwBYKF9xjdjRVyqOTnALe3t4e9SXo7e1NXl4efn5+NSrJqanlFhE5Yw778Xlxut8NAbXNjaeK1ZwOHSIiIjXNmi/g6A4IqANd7zA7miqnJEdERMQT2bNhwYuu7YvGgy3I3HhMoCRHRETEE638GNIOQEgDOPdGs6MxhZIcERERT5OTBn++6tru+TBY/cyNxyRKckRERDzN8nchMwlqN4UOI82OxjRKckRERDxJRhIsfcu1fcnj4F0jBlKXSEmOiIiIJ/nzVchJhah20PoKs6MxlZIcERERT5G8B1Z86NruMwFq0NI/JanZpRcREfEk858HRy40uhCa9jY7GtMpyREREfEEhzbC2i9d230mQg1a27A0SnJEREQ8wbz/Aga0ugwanGt2NG5BSY6IiEh1t3sZbP0NLN7Q+ymzo3Ebpic5+/fv57rrriM8PBx/f3/atWvHypUrzQ5LRESkejAMmDvBtd3peqjTzNRw3Impg+ePHTtG9+7d6dWrF7/99hsRERFs27aNWrVqmRmWiIhI9bHlN9i7HHz84eJHzI7GrZia5Lz44ovExMQwZcqUwn2NGzc2MSIREZFqxOnI74sDnH87hESbG4+bMTXJ+emnn+jfvz9XX301CxcupH79+tx5553ccsstJR6fk5NDTk5O4fPU1FQA7HY7dru9SmJ2BwVlrUllBpVb5a4ZVG6Vuzwsa77A5/AmDL8w8rreBdXk86uq+2wxDMOokiuVwM/PtWDY/fffz9VXX82KFSu49957ee+99xg1alSx4ydMmMDEiROL7Z82bRoBAQGVHq+IiIi78Hbm0HvjQ/jbj7G+/gjiIweaHVKZZWZmMnLkSFJSUggJCam065ia5Pj6+tK5c2eWLl1auO+ee+5hxYoVLFu2rNjxJdXkxMTEkJCQQHh4eJXE7A7sdjtz5syhb9++WK1Ws8OpMiq3yl0TqNwqd1l5LXkd7wXPYoQ2JO/2ZeBjq5wgK0FSUhLR0dGVnuSY2lwVHR1N69ati+xr1aoV3333XYnH22w2bLbiN9FqtdaoP4oCKnfNonLXLCp3zVLucmccgaVvAmDp/RRW/6BKiqxyVNU9NnUIeffu3dmyZUuRfVu3biU2NtakiERERKqBhS9BbhpEd4C2V5odjdsyNcm57777WL58Oc899xzbt29n2rRpfPDBB4wdO9bMsERERNxXUjys/Ni13XdSjV+E81RM/WTOO+88ZsyYwZdffknbtm2ZNGkSkydP5tprrzUzLBEREfc1byI48yCuLzS52Oxo3JqpfXIABg8ezODBg80OQ0RExP3tXQEbfwQs0Lf4aGMpSnVcIiIi1YFhwJwnXdsdr4W6bcyNpxpQkiMiIlIdbPoZ9iwDHz/o9ZjZ0VQLSnJERETcXV4uzH3atX3B3RBa39x4qgklOSIiIu5uxUdwdAcERkL3e82OptpQkiMiIuLOMo/Cwhdd25c8DrZgc+OpRpTkiIiIuLNFL0N2MkS2gXOuNzuaakVJjoiIiLtKioe/P3Rt95sEXt7mxlPNKMkRERFxV3OfBqcd4vpAXG+zo6l2lOSIiIi4o91LXcPGLV7Q7xmzo6mWlOSIiIi4G6cTZj/u2u40CiJbmRtPNaUkR0RExN38+xUc+Ad8gzTx31lQkiMiIuJOctJdi3ACXDQegiLNjacaU5IjIiLiTpZMhrQEqNUIzr/T7GiqNSU5IiIi7iJ5Dyx9y7Xd7xnwsZkbTzWnJEdERMRdzHka8rKh0YXQcrDZ0VR7SnJERETcwe5lsOF715DxAc+DxWJ2RNWekhwRERGzGU6Y9Yhru9MNENXO3Hg8hJIcERERk1n+nQ4Ja8AWAr2eMDscj6EkR0RExEQ+jiy85+fPaHzRgxAUYW5AHkRJjoiIiImaH/wJS0Yi1G4CXW8zOxyPoiRHRETELEnbaXp4lmt7wAsaMl7BlOSIiIiYxHvOE3gZDpxN+0Dz/maH43GU5IiIiJhh62y84ufitHjj6KtVxiuDkhwREZGqlpdTOGQ8PmIAhMeZHJBnUpIjIiJS1Zb/HxzdgREYydaoy8yOxmMpyREREalKqQmw8GUAHL0nkOftb3JAnktJjoiISFWa+zTYM6BBF4y2V5kdjUdTkiMiIlJVdi+Ff78CLDDwRdc6VVJp9OmKiIhUBUce/Dretd3pBqjfydx4agAlOSIiIlVhxUeQuAH8a0Hvp82OpkZQkiMiIlLZ0g7B/Gdd272fgsBwc+OpIZTkiIiIVLa5T0NOKtQ7BzqNMjuaGkNJjoiISGXavQzWfglYYNCr4OVtdkQ1hpIcERGRyuLIg5kndDZucK658dQwSnJEREQqy4qP4NB6dTY2ialJzoQJE7BYLEUeLVu2NDMkERGRiqHOxqbzMTuANm3aMHfu3MLnPj6mhyQiInL2Zj+mzsYmMz2j8PHxISoqyuwwREREKk78fFj/rWtG48Gvq7OxSUxPcrZt20a9evXw8/OjW7duPP/88zRs2LDEY3NycsjJySl8npqaCoDdbsdut1dJvO6goKw1qcygcqvcNYPK7QHlzsvB59cHsACOc2/CGdEWSimXR5W7HKqqvBbDMIwquVIJfvvtN9LT02nRogUJCQlMnDiR/fv3s379eoKDg4sdP2HCBCZOnFhs/7Rp0wgICKiKkEVERE6p+cEfaJXwPdk+ocxr/SJ53vp+OllmZiYjR44kJSWFkJCQSruOqUnOyZKTk4mNjeW1117j5ptvLvZ6STU5MTExJCQkEB5eczp02e125syZQ9++fbFarWaHU2VUbpW7JlC5q3m5j+7A54MLsThyyBv6AUab/5zycI8pdzklJSURHR1d6UmO6c1VJwoLC6N58+Zs3769xNdtNhs2m63YfqvVWqN+OQqo3DWLyl2zqNzVkGHA74+CIwea9MSnwzCwWMr01mpd7jNQVWV1q3ly0tPTiY+PJzo62uxQREREymfjDxA/D7x9XTMblzHBkcpjapIzfvx4Fi5cyK5du1i6dClXXHEF3t7ejBgxwsywREREyic7FWY96trucR/UiTM3HgFMbq7at28fI0aMICkpiYiICHr06MHy5cuJiIgwMywREZHymfdfSEuAWo2hx/1mRyP5TE1ypk+fbublRUREzt6+la7lGwCGTAarn6nhyHFu1SdHRESkWnHY4ed7AQPaD4cmPc2OSE6gJEdERORMLXsnfwHO2tD/WbOjkZMoyRERETkTx3bBghdc2/2egcA6poYjxSnJERERKS/DgF/uh7wsaHQhdBxpdkRSAiU5IiIi5bX+u/w5cWwweLLmxHFTSnJERETKI/MozHrEtX3ReM2J48aU5IiIiJTH709AxmGo0wK632t2NHIKSnJERETKKv4PWPMFYIHL3waf4uspivtQkiMiIlIWuRn5c+IAXW6FmC7mxiOnpSRHRESkLP54FpL3QGgM9H7K7GikDJTkiIiInM6+VfDXu67twZPBFmRqOFI2SnJEREROJS8XfroLDCe0vwaa9TE7IikjJTkiIiKnsmQyJG6EgHDo/7zZ0Ug5KMkREREpTeImWPSya3vAixAYbm48Ui5KckREREriyIMf7gRHLjTrD+2uMjsiKSclOSIiIiVZ9jYc+AdsoTBkspZuqIaU5IiIiJzs8FaY/5xru/+zEFLP3HjkjCjJEREROZHTAT+OBUcONO0N51xndkRyhpTkiIiInOiv92Hf3+AbDEPeUDNVNaYkR0REpEBSPMz7r2u73yQIizE3HjkrSnJEREQAnE746W7Iy4LGF8O5o82OSM6SkhwRERGAv9+H3UvAGgiXvalmKg+gJEdEROTIdpg70bXdbxLUamRqOFIxlOSIiEjN5nTAD3e4mqma9ILON5kdkVSQMic5w4YN49ixY5UZi4iISNVb+pZrNJUtBC5/W81UHqTMSc6+ffto06YNv/76a2XGIyIiUnUObYT5z7q2BzwPoQ3MjUcqVJmTnCVLlnDfffdx9dVXM2bMGNLT0yszLhERkcrlsMMPt7vWpmo+ADpea3ZEUsF8ynqgxWLhwQcfZMiQIdx44420a9eOu+++Gx+foqe45557KjxIERGRCvfna5CwFvzCNOmfhypzklOgZcuW3Hzzzdx+++28/vrrRZIci8WiJEdERNzfgTWw6CXX9qBXIDjK1HCkcpQryTl06BBjxoxh8eLFfPzxx4waNaqy4hIREakc9iz4/lZw5kGry6DdVWZHJJWkzH1ypk+fTps2bcjKymLt2rVKcEREpHqaOxGObIGgujB4spqpPFiZk5ybb76Zp59+mrlz59KwYcPKjElERKRyxM+Hv951bV/+DgSGmxuPVKoyN1etWbOGZs2aVWYsIiIilSfrGPw41rXd+SZo1tfceKTSlbkmRwmOiIhUazMfhNT9ULsJ9HvG7GikCmhZBxER8Xzrv4N134DFC674AHwDzY5IqoDbJDkvvPACFouFcePGmR2KiIh4kpT98Mv9ru0Lx0PMeebGI1XGLZKcFStW8P7779O+fXuzQxEREU/idMKM2yA7GaI7wsUPmR2RVKEzSnKSk5P56KOPePTRRzl69CgA//zzD/v37y/3udLT07n22mv58MMPqVWr1pmEIyIiUrJlb8GuP8EaAFd+DN5WsyMSICMnr0quU+4Zj//991/69OlDaGgou3bt4pZbbqF27dp8//337Nmzh88++6xc5xs7diyXXnopffr04ZlnTt0RLCcnh5ycnMLnqampANjtdux2e3mLUm0VlLUmlRlUbpW7ZlC5K7DcCWvxmTcJC5DX91mM0Fhws8+1Jt7vjQmpjP307yq5lsUwDKM8b+jTpw+dOnXipZdeIjg4mLVr19KkSROWLl3KyJEj2bVrV5nPNX36dJ599llWrFiBn58fPXv2pGPHjkyePLnE4ydMmMDEiROL7Z82bRoBAQHlKYaIiHgwb2cOF29+iuCcBA6EnsuKxvdo0j+TGQYsPmThh11e5GZnsXfyMFJSUggJCam0a5a7Jqeg/8zJ6tevz8GDB8t8nr1793LvvfcyZ84c/Pz8yvSeRx99lPvvv7/weWpqKjExMfTq1Yvw8JozoZPdbmfOnDn07dsXq7XmVL2q3Cp3TaByV0y5vX4bj3dOAkZQFBE3fcmggNoVEGXFqyn3OzXLzmM/bGD2zkQAejStzZdVcN1yJzk2m62wmehEW7duJSIiosznWbVqFYmJiXTq1Klwn8PhYNGiRbz99tvk5OTg7e1d7No2m63YuaxWq0f/cpRG5a5ZVO6aReU+C5tnwj9TAbD8532soXXPPrBK5sn3e83eZO6a9g/7jmVh9bbw8ICWDG0Vwpd3V/61y53kXHbZZfz3v//l66+/Blwrj+/Zs4eHH36YK6+8sszn6d27N+vWrSuy78Ybb6Rly5Y8/PDDxRIcERGR00pNgJ/ucm1fcDc06WlqODWZ02nw4Z87eHn2FvKcBjG1/XlrRCc6xoSRlJRUJTGUO8l59dVXueqqq4iMjCQrK4uLL76YgwcP0q1bN5599tkynyc4OJi2bdsW2RcYGEh4eHix/SIiIqfldMD3t0BmEkS1g0ueNDuiGutIeg4PfL2WhVsPAzCoXRTP/6c9of5VW1tV7iQnNDSUOXPmsHjxYv7991/S09Pp1KkTffr0qYz4REREymbx6/nDxQPhqingU7x7g1S+JduPMO6rNRxOy8Hm48XTQ9owoksMFhM6fpc7ySnQo0cPevToUZGxsGDBggo9n4iI1BB7/oL5z7m2B70MdbTeYlWzO5y8MXcb7yzYjmFAs8gg3h7ZiRZRwabFVKYk58033+TWW2/Fz8+PN99885THBgUF0aZNG7p27VohAYqIiJxSVjJ8NwYMB7S7GjqONDuiGmfv0Uzunb6af/YkAzCiSwxPDW6Dv6+5/WvLlOS8/vrrXHvttfj5+fH666+f8ticnBwSExO57777ePnllyskSBERkRIZBvx8D6TsgVqN4dLXNB9OFft57QEe+34daTl5BPv58Px/2jG4fT2zwwLKmOTs3LmzxO3SzJkzh5EjRyrJERGRyrVqKmz8Ebx84KqPwa/yJpaTojJz85jw0wa+XrkPgE4Nw3hj+DnE1HafyXnPuE/OqfTo0YMnnniiMk4tIiLicmgjzHrUtd37Kah/rrnx1CDr96dwz/TV7DicgcUCd/WK497ezfDxdot1vwuVOZpBgwaRkpJS+PyFF14gOTm58HlSUhKtW7cGwN/fn3vvvbfiohQRETlRTjp8MwrysqBpb+hWBTPLiWvum0U7uOL/lrDjcAZ1Q2xMG3M+D/Rr4XYJDpQjyZk9e3aRxTGfe+65whXIAfLy8tiyZUvFRiciInIyw4BfH4AjWyE4Gv7zAXi53xesp0lMzWbUlL95duYm7A6Dfq3rMuvei+jW1H2XVSpzc9XJ63iWc11PERGRirHmC/h3Oli84MqPIbCO2RF5vD82H2L8N/9yNCMXP6sXTw02b+6b8qiUPjkiIiKV4tBG+HW8a7vX49Cou7nxeLhsu4PnZm7is2W7AWgVHcJbIzoSF2ne3DflUeYkx2KxFMvY3D2DExERD1KkH84l0ON+syPyaBsOpHDv9DVsT0wH4KbujXloQAv8rNVnbclyNVeNHj26cBXw7Oxsbr/9dgIDAwGK9NcRERGpUIYBM8cf74dzhfrhVBan0+DjxTt5afZm7A6DiGAbr17dgYuaR5gdWrmVOckZNWpUkefXXXddsWNuuOGGs49IRETkZP98Bmu/PN4PJ6j6feFWBwdTshn/zVoWbz8CQN/WdXnxyvbUDvQ1ObIzU+YkZ8qUKZUZh4iISMkOrIGZD7q2L3lC/XAqycx1CTz6/TpSsuzVqnPxqajjsYiIuK+sY/D1DeDIgeYDoPt9ZkfkcdKy7Uz4aSPf/eOaubhd/VAmD+9I04ggkyM7e0pyRETEPTmdMOMOSN4NYbFwxXvqh1PBVu46yriv1rDvWBZeFrizZxz39mmG1Q0n9jsTSnJERMQ9LX0Dtv4G3jYY9hn41zI7Io+Rm+fkjXlbeXdBPE4DGtTy5/VrOnJeo9pmh1ahlOSIiIj72fknzPuva3vQS1Cvo6nheJJth9IY99UaNhxIBeA/neoz4bI2hPhZTY6s4inJERER95KaAN/eBIYTOoyETqNO/x45LafTYOrSXbwwazO5eU7CAqw8f0U7BraLNju0SqMkR0RE3Icj19XROCMRItvApa9CNR7d4y4OJGfx4LdrWbI9CYCLm0fw8lXtiQzxMzmyyqUkR0RE3IbX74/Dvr/BLxSG/w98A8wOqVozDIMf1uznqR83kJadh5/Vi8cHteK682Or9dDwslKSIyIibqFh0iK890wBLPCfj6B2E7NDqtaOZuTy+Ix1/Lb+IAAdY8J4bVgHmnjA0PCyUpIjIiKmsxxYTfu9n7qe9HwUmvczN6Bq7o/Nh3jo23UcSc/Bx8vCuD7NuP3ipvh4yNDwslKSIyIi5so4gvd3o7EYdpxx/fC66EGzI6q20rLtTPplI1+vdE3s1ywyiNev6Ujb+qEmR2YOJTkiImIeRx58exOW1P2k2+piu/xdvDTh3xlZuv0ID377L/uTs7BY4ObujRnfv3qtGl7RlOSIiIh55jwFOxdiWAP5u/G9XOhXM2sczkZWroMXZ21m6tJdADSsHcArV3egS2PPmtjvTCjJERERc6z5Epa/A4BjyJuk7fS8yegq26rdxxj/zVp2HskA4NquDXlsUCsCbfp6ByU5IiJihn2r4Od7XdsXPYjR6nLYOdPcmKqRbLuD1+ds5cM/d+A0ICrEjxevas/FzSPMDs2tKMkREZGqlXYQvro2f2XxgdDzMXA4zI6q2li7N5kHvlnL9sR0AK7s1ICnhrQm1F81YSdTkiMiIlUnLwe+uh7SEqBOC/jPB66VxZXknFZOnoM3523jvYU7cDgNIoJtPHdFO/q2rmt2aG5LSY6IiFQNw4BfHzg+o/GIL8EvxOyoqoV/9yXz4Df/suVQGgCXd6zHhCFtqBXoa3Jk7k1JjoiIVI2/3oPVn4PFC676BMKbmh2R2zu59qZOkC+TLm/r0YtqViQlOSIiUvm2zYHZj7m2+/4X4vqYG0818O++ZMZ/s5ath1x9b4Z0qMfEy9pQW7U3ZaYkR0REKlfiZvj2JjCccM510O0usyNya9l2B5PnbuODRfE4DagT5MszQ9syoK1qb8pLSY6IiFSejCT48hrISYXY7nDp61ADVr8+U6t2H+Ohb9cSf9g1741qb86OkhwREakcebnw9Q1wbBeExcKwz8FHX9Ylycp18OLsbXy8ZCeGARHBNp4d2pZ+baLMDq1aU5IjIiIVzzBg5gOwezH4BsPIryAw3Oyo3NL2FHjtnWXsPpoJuOa9eXJwK8IClBCeLVNXQXv33Xdp3749ISEhhISE0K1bN3777TczQxIRkYqw9C345zPXSKqrp0BkK7Mjcjtp2Xae+mkjb230YffRTKJC/Jgy+jxeHdZBCU4FMbUmp0GDBrzwwgs0a9YMwzD49NNPufzyy1m9ejVt2rQxMzQRETlTG39yLbwJ0P85aNbX3Hjc0PzNiTw2Yx0JKdkADD+vAY9d2poQP81aXJFMTXKGDBlS5Pmzzz7Lu+++y/Lly5XkiIhUR/tWwfe3Agacdwt0vd3siNzK0YxcJv2ykRmr9wPQsLY/l0Wlc+9lrbFaleBUNLfpk+NwOPjmm2/IyMigW7duJR6Tk5NDTk5O4fPU1FQA7HY7dru9SuJ0BwVlrUllBpVb5a4ZqnW5k/fg8+U1WPKycDbtg6PPJMjLK9Nbq3W5y8AwDH7+9yDPzNzMsUw7Xha48YJY7rwolsUL/vDYcpemqsprMQzDqJIrlWLdunV069aN7OxsgoKCmDZtGoMGDSrx2AkTJjBx4sRi+6dNm0ZAQEBlhyoiIqXwcWRy4dZJhGTvJ8W/IYubPU6et7/ZYbmFoznwzQ4vNia7usFG+xuMaOogNtjkwEyUmZnJyJEjSUlJISSk8pb2MD3Jyc3NZc+ePaSkpPDtt9/y0UcfsXDhQlq3bl3s2JJqcmJiYkhISCA8vOb02rfb7cyZM4e+ffvWqOpNlVvlrgmqZbkddry/GoHXzgUYQVHk3fg7hNQr1ymqZblPw+E0+HLFXl75fRsZuQ6s3hbG9mzKLT0a4evjSng8sdxlkZSURHR0dKUnOaY3V/n6+hIXFwfAueeey4oVK3jjjTd4//33ix1rs9mw2WzF9lut1hr1y1FA5a5ZVO6apdqU2zDg13th5wKwBmAZ+RXW8NgzPl21KfdpbDmYxiPf/8vqPckAdI6txQtXtiMusuTqG08pd1lVVVlNT3JO5nQ6i9TWiIiIG1vwAqz5In/RzSlQr6PZEZkq2+7gnfnbeW9hPHaHQZDNh4cGtOC6rrF4eWmm56pmapLz6KOPMnDgQBo2bEhaWhrTpk1jwYIFzJ4928ywRESkLP75DBa+4Nq+9DVoMcDceEz2144kHp2xjh35SzL0bV2X/17ehuhQ9U0yi6lJTmJiIjfccAMJCQmEhobSvn17Zs+eTd++mlNBRMStbZsDP49zbV/0IHS+0dRwzJScmcvzMzfz1cq9gGtJhv9e1oYBbaOwaJ0uU5ma5Hz88cdmXl5ERM7EgdXw9SgwHNBhBPR63OyITGEYBj+uOcCkXzaSlJELwMiuDXl4QEtC/WtO/xp35nZ9ckRExI0d3QlfDAN7BjTpCUPerJGriu9OyuCJH9bz57YjADSLDOL5/7Sjc6PaJkcmJ1KSIyIiZZOeCJ9fARmJULddjVxVPDfPyYd/7uDNedvIyXPi6+PFPZfEcetFTQuHhYv7UJIjIiKnl50KX1wFx3ZCWEO47lvwq7z5TdzR3zuP8viMdWxLTAege1w4zwxtR+M6gSZHJqVRkiMiIqeWlwNfXQcJayGgDlz/AwRHmR1VlTmWkcvzv23i65X7AKgT5MsTl7bm8o711LHYzSnJERGR0jmdMOM22LkQfIPg2m8gvKnZUVUJwzD4dtU+nv9tM0fzOxaP6NKQRwa0JDRAHYurAyU5IiJSMsOAWQ/DhhngZYVrPof6ncyOqkpsOZjGEz+sY8WuYwC0qBvMc/9py7mx6lhcnSjJERGRki14Af7+wLV9xXvQ9BJz46kCmbl5vDFvGx//uZM8p0GArzfj+jTjxu6NsXqrY3F1oyRHRESKW/7u8dmMB74E7a4yN55KZhgGszccYtIvG9mfnAVA/zZ1eXpIG+qFacbi6kpJjoiIFLX6C5j1iGu71+PQ9TZz46lku5MyePqnDSzYchiABrX8mXhZG3q3qmtyZHK2lOSIiMhxm36Gn+5ybZ8/1rVkg4fKtjt4d0E87y6MJzfPia+3F7dd3IQ7e8bh7+ttdnhSAZTkiIiIS/x8+PYmMJzQ8Tro/6zHzmY8b9MhJv68kT1HMwG4sFkdJl7WhiYRQSZHJhVJSY6IiMCev2D6teDIhVaXwZA3PDLB2ZOUycSfNzBvcyIAdUNsPDW4DYPaaTFNT6QkR0Skpjuw2jWbsT0DmvSCKz8Cb8/6eji5acrHy8LNPRpzd+9mBNk8q6xynO6siEhNdmiDaz2qnFSI7Q7Dp4GPzeyoKoxhGMzZeIhJv25k71HXqKnuceFMvKwNcZHBJkcnlU1JjohITXV4K3x2OWQdg/qdYeRX4BtgdlQVJv5wOhN/3siira5RU9GhfjxxaWs1TdUgSnJERGqiozvgs8sg4zBEtYfrvgObZ9RspOfk8dYf2/hk8U7sDgNfby9uuagxY3vFEeCrr72aRHdbRKSmSd4Ln14OaQkQ0dK14KZ/mNlRnTXDMPhhzX6en7mZxLQcAC5pGclTg1vTSCuF10hKckREapKUfTD1UkjZA7Wbwg0/QmC42VGdtX/3JTPhpw38sycZgNjwAJ4a3FoT+tVwSnJERGqKlP2uBCd5N9RqDKN+huAos6M6K4fTcnh59ma+WbUPw4AAX2/uuiSOm3s0xuajCf1qOiU5IiI1QeoBV4JzbBfUagSjf4HQ+mZHdcZy85xMXbqTt+ZtJy0nD4ArzqnPwwNaEhXqZ3J04i6U5IiIeLrUAzB1MBzbCWGxMOoXCG1gdlRnxDAM5m1K5JlfN7IryTVbcbv6oUy4rDXnxtY2OTpxN0pyREQ8WeoB+HQIHI2HsIauGpywGLOjOiNbD6Ux6ZeN/LntCAB1gmw8NKAFV3VqgJeXhoRLcUpyREQ8Vcq+4zU4oTGuGpywhmZHVW5HM3J5fc5Wpv29B4fTNST8ph6NGdurKcF+VrPDEzemJEdExBMd2+2qwUnend9E9TPUijU7qnLJzXPy2bJdvDFvG2nZrn43/VrX5fFLWxEbriHhcnpKckREPM3RHfDpZZCy1zWKanT16oNTsBTDczM3Ffa7aRUdwpODW3FB0zomRyfViZIcERFPcmS7qwYn7QCEN4NRP0FIPbOjKrMNB1J5YfZWlu84Crj63TzYvzlXnRuDt/rdSDkpyRER8RSJm11rUaUfdM1kfMNPEFw9JsM7mJrNF9u9WLF8OYYBvj5e3NzDtRSDVgmXM6XfHBERT3BgjWs18ayjENnGNZNxUITZUZ1WRk4eHyzawQeL4smyewFwecd6PNi/BQ1qec5ioWIOJTkiItXdnuXwxdWQkwr1OrkW2wxw7zlj8hxOvlm1j9fmbOVw/jpTjYMNXhrRlfOauH9yJtWDkhwRkeosfj5MHwn2TIjtDiOmg1+I2VGVyjAMFmw5zHMzN7EtMR2AhrUDGN83Dufuf+gYE2ZugOJRlOSIiFRXm3+Fb0aDIxfi+sCwz8HXfZt41u9P4bmZm1ganwRAWICVey5pxnXnx2IxHMzcY3KA4nGU5IiIVEdrp8MPd4LhgFZD4MqPwcdmdlQl2ns0k1d+38KPaw4A4OvtxejujRjbM47QANdkfna7w8wQxUMpyRERqW6W/R/MftS13X44XP4OeLvfP+fJmbm8/cd2Plu2m1yHE4ChHevxQL8WxNR23xon8Rzu91chIiIlMwz44xn48xXX8/PvhH7PgpeXuXGdJCvXwdSlu/i/BdsLZyruHhfOowNb0bZ+qMnRSU2iJEdEpDpwOuDXB2DVFNfzS56ECx8Ai/tMkJfncPLtqn28Pncrh1JdI6ZaRgXz6KBWXNSsDhY3ilVqBiU5IiLuLi8Hvr8FNv4IWGDwa9D5JrOjKmQYBrM3HOLl2ZuJP5wBQP0wfx7o15zLO9bXTMViGlOTnOeff57vv/+ezZs34+/vzwUXXMCLL75IixYtzAxLRMR9ZCXD9Gth92Lw9oX/fAhthpodVaFl8Um8OGsza/YmA1ArwMpdlzTjuvMbYvPxNjc4qfFMTXIWLlzI2LFjOe+888jLy+Oxxx6jX79+bNy4kcBArTArIjVcyn744ipI3Ai+wTD8f9Ckp9lRAbBuXwovzd7Mn9uOAOBv9ebmHo259eImhPhZTY5OxMXUJGfWrFlFnk+dOpXIyEhWrVrFRRddVOz4nJwccnJyCp+npqYCYLfbsdvtlRusGykoa00qM6jcKnfNUFDevIT1+HwzEkvaAYyguuRdMx2i2oHJn8eOwxm88cd2Zq4/BIDV28Lwzg244+ImRAS7hrCfyT2r6fe7RpQ7z4ElIwtLZhaWhENVckmLYRhGlVypDLZv306zZs1Yt24dbdu2Lfb6hAkTmDhxYrH906ZNIyBAwxFFxDOEp2+my47J+DoySbNFsyzuQbJ865ga09EcmLXXi78PWzCwYMHg3DoGA2Oc1PEzNTRxQwFe3oR6WwnxthKa/wjwOl6vkpqRTuilvUhJSSEkpPJm6HabJMfpdHLZZZeRnJzM4sWLSzympJqcmJgYEhISCA8Pr6pQTWe325kzZw59+/bFaq051cIqt8pdEzj//RafX+7G27DjbNAVx7D/gX8t0+I5kp7Duwt38uWKvdgdrq+LS1pEcF+fOFpGBVfYdWrq/a725XY6ITPbVUOTke2qpcnIwpI/L9LJDJsVI9CfY3k51OnUvtKTHLcZXTV27FjWr19faoIDYLPZsNmKz+hptVqr5y/HWVK5axaV28MZBvz5KvwxCQBni0vxuupjvKz+poSTnJnL+4t2MHXJLrLyZyPu1iScBwe0oFPDyku6asz9Pkm1KHeuHTKyID3T9cjIcj1KYrFAoB8EBkBQAAT5Q2AAFqsPFoCkpCoJ2S2SnLvuuotffvmFRYsW0aBBA7PDERGpWg47/HIfrP4cgO0RA4j9zyd4Wau+HSgt287Hi3fy8Z87SctxTeTXISaMh/q3oHucuU1mUkUMA7JyICM/mUnPT2xyS+k35OPjSmKCAiAw/2eAn1tMUmlqkmMYBnfffTczZsxgwYIFNG7c2MxwRESqXnYKfH0D7FgAFi8c/V5gQ2IUsV5VO/w6MzePT5fu5v1F8SRnur7MWkYF80C/FvRpFamJ/DyVw5FfO5OfyGTkJzXOkpub8Lfl187kJzNBAeBrdatJKU9kapIzduxYpk2bxo8//khwcDAHDx4EIDQ0FH9/c6poRUSqzLHdMO0aOLwJrIFw9RScjS+BmTOrLISsXAdf/LWbdxfEk5SRC0DTiEDu69ucQW2j8dJEfp7BMFw1MelZRWtosrJLPt7LcjyZKWhyCvSHajb3kalJzrvvvgtAz549i+yfMmUKo0ePrvqARESqyu5l8NV1kHkEgqNh5FcQ3aHKhohn2x18+fce/m9BPIfTXAM6GtYO4N7ezRh6jmYprtYMAzKzi/adSc8Ee17Jx1t9jtfKFPSf8fdz29qZ8jC9uUpEpMZZMw1+vhccua7EZviXEFq/Si6dbXfw9cq9/N/8eA6muv4X36CWP/dc0owrOtXH6m1+PwophzzH8SamguamjCxwlvL9GuBXtO9MQXOTh3KLjsciIjWC0wHzJsKSN1zPW18OQ98F38qf4b2k5KZeqB93XdKMq85tgK+Pkhu3ZhiQk1u8uSk7p+Tjvb2KJjKBAa7RTt7Vq7npbCnJERGpCjlp8P2tsCW/v81FD0HPRyt9BEpJyU10qB939opjWOcGWl/KHeXPPVOsuSnPUfLxNusJQ7Xzm5v8bB7R3HS2lOSIiFS2pHiYPhIObwZvG1z+DrS/ulIvmW13MO2vPby3MJ7E/D43Sm7ckD2POj6+eB047Bq2nZ7pSnBK6s5hsZTc3GTVV3lp9MmIiFSm7XPh25tcQ8WDo+Ga/0GDzpV2uczcvPzkZgdH0k9Ibno2Zdh5MUpuzGIYrqalk4ZqW3Ny6R4UAbsOFD3ex7toIuNGc89UJ0pyREQqg2HA0jdh7gQwnNCgC1zzOQRHVcrl0nPy+HzZbj76c0fhUPD6Yf6M7RXHlefWV3JTlRzO/NmAT+g7k5Hp2l+CDEce/hHheAUHHp9/xuar5qYKoCRHRKSi5WbCT3fD+m9dzzuNgkEvg0/xZWnOVkqmnalLd/HJkp2kZLmGn8fU9ueuXnFccY46FFe6XHvxvjOZpcw9Y7Ecr53J/2m3WZn7+2wGXXguXu6+rEM1pCRHRKQiJcXDV9dD4gbw8oGBL0Lnmyv8f+VH0nP4ZPFOPlu2m/T85ReaRARyV684LutQDx8NBa9YhuGaOC/9pLWbSlvqwOpTvLnJ31a8uamK5kWqqZTkiIhUlM0zYcbtkJMCgZEw7FOIvaBCL3EgOYsPFu1g+oo9ZNtdzR8to4K565I4BraN1iR+FcHhKD5UO+M0Sx0UDNMuaG5y46UOahIlOSIiZ8vpgPnPwZ+vuJ7HnA9XT4WQ6Aq7xM4jGby3IJ7vV+/D7nCNvOnQIJSxveLo06qull84E4VLHZzU3JRVytwzXifOPeN/PKmpYXPPVCdKckREzkbGEfhuDOyY73re9Q7oNwm8K6Z/xfr9Kby7MJ7f1iUUTmLbrUk4Y3vF0T0uXAtnllXB3DMZJzQ3pWdBXilLHfhaiw/V9tfcM9WNkhwRkTO1e5lreHjaAbAGwGVvQburzvq0hgHLdxzlg8W7+HPbkcL9l7SMZGyvOM6NrXXW1/BoeXnFV9XOyCp57hk4PvfMiUmNBy91UJMoyRERKS+nE5a+AfMmgeGAOs3h6k+hbuuzPK3B7xsP8fp6b3YvXwmAt5eFIe2jue3iprSKDqmI6D1H4VIHJw3Vzs4t+Xhv7+N9ZgpX2PbX3DMeTEmOiEh5ZB6FGbfBtt9dz9tfA5e+BragMz5lTp6DGf/s54NFO9hxJAOw4OvjxTWdY7jlwiY0DA+omNirM2fB3DMnNTc5SlvqwPd435mCpMZPc8/UNEpyRETKas9y+PZmSN0HPn4w8CXodMMZf3GmZtuZ9tcePlm8s3DphRA/H7qG5/Lf6y4mutaZJ07Vmt1efKj2qZY6CPQrunZToL+WOhBASY6IyOk5HfDnq7DgedfsxbWbwrDPIKrtGZ3uQHIWnyzeyfQVewvnuIkO9ePmHo258pxoFs37nTpBFT9xoNsxDNdIpoxMvFLT6RoYjs/KjaXPPePjXbzvjJY6kFNQkiMiciop+12rh+9e7Hrefjhc+grYgst9qg0HUvhw0Q5++TeBvPyhUi3qBnPLRU24rEM9fH28sHvq5HAOR35T00nzz+TPPeMNRFn9jic4/rai885o7hk5A0pyRERKs/lX+HEsZB0D3yC49FXoMLxcp3A6DRZuPcyHf+5gaXxS4f4LmoZz60VNuLh5hGcNAy+Ye6aw70x+UlPaUgderqUOnP5+rNu1gzZdOuMTGuyqtRE5S0pyREROlpsBsx+HVVNcz6M7wlWfQHjTMp8i2+5gxur9fLx4J9sT0wHXSKlB7aK57aImtK0fWgmBVzHDcCUvJ0+mZy9l7hmrzwnLHORPphfgBxYLDrudXVvX0TokUAmOVBglOSIiJ9q/Cr67BY7Gu553uwt6Pw0+vmV6++G0HD5fvpsvlu8uXA082ObD8C4xjO7emPph/pUVeeXKcxyfc+bE+WdONfdMSc1NIlVISY6ICIAjDxa/DgtfAGceBNeDK96FJj3L9PaNB1L5ePFOfl57gFyHq59J/TB/buzeiGvOiyHYr5p8wRfOPXNS35nsUyx1UNLcM1rqQNyAkhwRkaM7XAtr7v3L9bzNFa65bwJqn/JtDqfBvE2HmLJkF8t2HO9v06lhGDf3aEL/NnXdezXwgqUOTp5ML6+0uWesJwzVzm9u0lIH4saU5IhIzeV0wsqPYc5TYM8EWwgMegXaDzvlF3dKlp1vVu7l02W72Hs0Czje3+am7o04p6EbLrtgzyvabyY989RzzxQsdXDigpTWalIbJZJPSY6I1EzJe1wjp3Yucj1vdCFc/g7Uii31LdsT0/ls2S6+XbWPzFxXbUdYgJXh5zXkhm6x1HOH/jaG4WpaOrnvTE4pSx34eBddhDJQSx2I51CSIyI1i2HA6s9h1mOQmwY+/tB3Ipx3S4lf7A6nwfzNiXy6rOhimc3rBnFj98YM7Vgff1+T+p84nJCZVby5Kb9PUDF+vkX7zgQFuJY/UHOTeCglOSJScyTvgZ/vhfg/XM9jusLQd0scGp6cmcs3K/fx2fLjTVIWC/RpVZfRFzTigqbhVTu/Ta695OamklgsRZuZCpIaH/2TLzWLfuNFxPMV9r15GuwZrnWnej3mGh7uVbQWZt2+FD5btouf1h4gJ89VIxLqb2X4eTFcd34sMbUrebFMwyDIywfLkWOQlXs8sSltqQOrT9HmpqD8zsBqbhJRkiMiHu7Idvjpbtiz1PW8YTe47G2oE1d4SLbdwW/rE/h06W7W7E0u3N86OoQbusVyeWU1STkcxYZq+2Rk0jukLmzdU/x4f1vxtZu01IFIqZTkiIhnysuFZW/BwpcgLxusga6+N51vLqzl2J2UwbS/9vD1yr0cy3TVlFi9XaOkbugWS6eGtSqmSapgqYOTZwbOKj73jAXIM5x4BQfhFRx4whw0mntGpLyU5IiI59nzF/wyDhI3up436QVD3oBaseQ5nPyx4SD/+2sPi7YeLnxLdKgfI7s0ZHiXhkQEn8UK4E6nK3kp7Aycn9SUttSBr/WEfjMB2P2szJz/B4O6D8JLQ7ZFzoqSHBHxHFnJMG8irJwCGBAQDv2fh/bDOJCSzVdztvLVir0cTHV12LVY4KJmEVx3fiy9WkSUf+K+vLwTmpuyjic0p1rqoKTmphN56irkIiZQkiMi1Z9hwPrvXItqph907et4HY4+/2XB3jymfbqS+VsScebnHrUDfbn63AaM7NqQ2PDAsp0/J/f4MO2C+WeyS5l7xtur6MzAQQEQ4O/aLyJVRkmOiFRvh7fAzPHHJ/Wr3ZTDvV7k84OxfPPWGhJSjg+z7tq4NiO7NmRA2yhspa107XTm95k5ae0mR2lLHfietHZTgGs+GnUGFjGdkhwRqZ5yM1ydipe9A047ho8f25vfykvp/Zk7LQXD2Aa4ZiS+slMDRnRpSFxkUNFz2O3Ha2YKmppOtdRBoF/xtZus+mdUxF3pr1NEqhfDgA0z4PcnIXUfANvCujM+bSRr/6kFpADQrUk4w7vE0L9NFH4+Xq7OwIePFm1yKm3uGR/vk9ZtCnD1p9HcMyLVipIcEak+Ev6FWY/A7iUAHPKqy2PZ1zHv4LkA1AmycVWnelzTug6NfS2u5qb1W11JjbO0pQ5sJ80MHOBabVvNTSLVnqlJzqJFi3j55ZdZtWoVCQkJzJgxg6FDh5oZkoi4o4wkjD8mwT+fYjGcZBm+vJc3hPcdg8m12OgdG8I1jUPoVcsLa3Ym7C5hIj2v/KUOTm5uKq1vjohUe6YmORkZGXTo0IGbbrqJ//znP2aGIiJuyOLMI33hW/gvfw2/vDQAfnGcz3P2kfgG1uXu+v5cVd+Pun7egB0K+hhbfYoP1Q7wU+2MSA1japIzcOBABg4caGYIIuJu8hxkHUtl7bwvOG/Lm9QyDgGw0RnLC84bqFv3HCY38Oe8WlbXbMQBfkVX1Q70d414EpEar1r1ycnJySEn5/g06KmpqQDY7XbsNWgCrYKy1qQyg8rtceXOX+rAkpGFJSMbIz2TlXuTWbH1Hy449gnne20BINEI43vf4YQ3GsQ7ceEEhAViBPrjCPDHCPAree6ZavxZeez9Pg2Vu2aWu7JZDKO0qTmrlsViOW2fnAkTJjBx4sRi+6dNm0ZAQCWvDCwiZ8wCBHv5EOptJcTbl1BvK6HeVny9vNiRkceM/dn8vX8H1zu+YrD3cgCy8WVp4GVkxw7B19+HDGcp89SISLWTmZnJyJEjSUlJISQkpNKuU62SnJJqcmJiYkhISCA8PLwKonQPdrudOXPm0LdvX6w1aG0blbualDsvD0tGdn4NTRaWzCzIzMFywj81STlOfjmYzYwD2exPTuRen++5xnsBVosDJxYONx5KUP8nmPvXhupT7gpS7e53BVG5a1a5k5KSiI6OrvQkp1o1V9lsNmy24gvnWa3WGvXLUUDlrlncrtyG4VrWoGCJg4K5Z3JKXuog07AwJ8XJD/uyWLQvjUAjg1t8fuVm228EWFz/eXHE9cO7z9PUjWqbX529wf3KXUVU7pqlppW7qsparZIcETFJ4VIHJy1EWdpSB36+EBiA3d+fxUk5/LjtGL9vOUxmroMAsrnNexZ3+v5KkJHhOr7BedBnIt6NulddmUTE45ma5KSnp7N9+/bC5zt37mTNmjXUrl2bhg0bmhiZSA2Waz+exBQsd5CZXfKxFssJswK75p1xBvixYl8qP609wMx1OziW6epgaCOX8cELuMn4gYC8ZDCAiJZwyRPQcrCGd4tIhTM1yVm5ciW9evUqfH7//fcDMGrUKKZOnWpSVCI1hGG4ljooXLcpv5amtKUOrD5FlzkICgB/G3h5YRgGa/el8PPivfz6bwIHU48nRfUD4Ynov+mdNA3frETXztpNoOdj0PY/4KXJ+ESkcpia5PTs2RM36fcs4tkcjuKramecYqkDf1vRmYGDAsC36FIHhmGw4UAqv65L4Jd/D7D3aFbha8E2H4a0DmWM/wIab/kYy7785Ca0IfR8GNoPB2+1lotI5dK/MiKeJH/umeOJTH5Sk5VT8vFeXvm1MwUT6eUnNd4l164YhsGmhDR+XXeAX/9NYFdSZuFrAb7e9GlVl6GtQ7go5Sd8lr8NmUdcL4Y2hAvvh47Xgo8m6hORqqEkR6S6cjqLNjcV9KOx55V8vK/1pOYmf/A//VIHBTU2v61P4Ld1B9lxJKPwNZuPF71aRDKkQz0uifHCf/WH8NsHkO1aCZxajeDC8dBhOHjXnJEjIuIelOSIVAM+WLCkpLuGbGecMLqptObeAL+i6zYVNDeVUUEfm9/WJTBzfUKRpiibjxc9W0Rwaft69G4ZSWBWAiybDD99Cnn5x4U3c9XctBumZikRMY3+9RFxJ4bhmmfmhKHaPumZXBpWDzbEFz/e26vouk1BARDgX/JSB6eR53CyYtcxZm84yOwNB0lIOd552M/qqrEZ0DaK3q3qEmTzgYPr4NeJsP5bcObXHkV3dCU3LQerQ7GImE5JjohZnE7IyD6hM3B+7Uxe0blnChqTDF8rluCAoh2C/WxnNfQ62+5gyfYj/L7hEHM2HeJoxvGJ/AJ8vbmkZSSD2kXTs0UEAb4+riRs+zxY9hbsWHD8RI0udCU3TXppKLiIuA0lOSJVwZ5XNJEpmHumpOamgpW18xOZPD9ffl+6mL4DB1bILKEpmXb+2HKI3zccYuFW1wR9BcICrPRtVZcBbaPoHlcHP2t+bYw9C1Z9AX+9B4kb8+P0hjZDodtdUL/TWcclIlLRlOSIVCTDgOyck2YGzoScUuae8fEuOqopKMCV4Hgdb24y7HbsZznVwp6kTOZuOsTcTYf4e+dR8pzHzxcd6kff1nUZ0CaKLo1r43NiU1fKPljxEayaClnHXPt8g6DTKDj/dgjTpJ0i4r6U5IicKYcjv1bmhKHaGVngKGXuGT9bkZmBCfIHm2+lNO84nAZr9iYzb9Mh5m1KZMuhtCKvt6gbTL82denXOoq29UOwnBiDYcDuJfD3h7DpZzDya3rCGkKXW+Gc68E/rMJjFhGpaEpyRMqicO6ZE+afKW2pA6/8pQ5O7DsTGOCqtalEqdl2/tx6hHmbD7Fgy+Ei/Wu8vSx0aVSb3q0i6dOqLo3qBBY/QXYKrP0KVn4Mhzcf39/oQuh6O7QYqM7EIlKtKMkROZFhuJKXE1fVTs8sfe4Zq0/ReWcC85ubqqDzrWEYxB9O54/NiczffJgVu4o2QwX7+XBx8wj6tq5Lz+aRhAaU0p/nwGpXc9S/34A9fw4cawC0uxq63AJR7Sq9LCIilUFJjtRceY7jycyJzU3OUvq/+PsVXeagnHPPVISMnDyW70hiwZbDzN+SyL5jWUVebxIRSO+WkVzSsi6dG9XCWtpQ8uwU+Pdr+OczOPjv8f11WsB5Y6DDNeAXWoklERGpfEpyxPMVWerghKTmVEsdnLzMQWDpSx1UJsMw2HYonT8OWPhqykpW7k4m94Q+P74+XpzfJJxeLSLo2SKSxiU1QxVwOmHPUlj9BWyYcXziPm9faDUEOt8Esd01BFxEPIaSHPEsTqeruenEodrpmcXmninkay3e3OR/dnPPnK2jGbks3n6EP7ce5s9tR/JX9PYGjgLQoJY/FzeP4JKWkXRrGu6av+aUJ9wJa6fD2mmQvOf4/ohWcO4oaH8NBNSutPKIiJhFSY5UX/a8on1nMjJdk+uVNtw60L/42k0VMO/M2crJc7Bq1zEWbz/C4u1HWLc/pUgRbD5eNAnK4z8XtOKSVlE0qRNYdDRUSbKSYeOP8O9XrpFSBXyDXXPbdLoBGpynWhsR8WhKcsT9GQZk52JJSaWlXzDem3a6amtycks+3tu7aL+ZguTGq/xLHVQGp9NgY0IqS+OP8Oe2I6zYdZRse9Fh5y2jgrmwWR0uah5Bx/rB/DFnNoO6xZ56MkB7Nmz7HdZ9DVtng6Pg87FAk57QcaRruQXfgEorm4iIO1GSI+7F6TyhmemEGhqHEx+ghV8IHEs9fryfb/G1mypp7pkzZRgGO45ksHT7EZbGJ7FsRxLJmUUnB4wIttEjrg7d4+pwYbM61A3xK3zNbi9lIkEAhx12LIQN38OmXyAn5fhrka2h3VWu5qjQBhVdLBERt6ckR8xT0Bn4xL4zpc09Y7FgBPix5+gRGrRohndosCux8XG/X2HDMNiVlMnyHUksi09i+Y4kEtOKdnIO9PWma5NwusfVoUdcHZrXDTp9E1QBhx12/enqPLzp5+MzEQOE1HclNu2GQVTbCiyViEj1437fEOJ5DMM1kqlw7ab8Wprc0pY68Cne3BTgR57DwZqZ26lXLwJvN+hLU8A1X00Gf+88yl87k/hrx9H8zsLH+fp40Tm2Fhc0DeeCuDq0qx9a+vDuEng5c7FsnQXbfoMtM4smNoGR0PpyaHMFNOzmNs1yIiJmU5IjFcvhOGHemawT5p4pZakDf1vx5iZfa8nNTY5SRkhVMYfTYFNCKit2HWXFrqP8vfMoR9KL9g/y9faiY8MwujUJ5/wm4ZzTMOz4YpdllXUMts3Fe9PPDNwyG5+1JyROAXVcw77b/sc17FszEYuIFKMkR85MkblnTphM71RzzwT6F51/JtC/0pc6qAhZuQ7W7ktm1e5j/L3zKP/sPkZaTtEZkG0+XpzTMIyujcPp2rg2nWJrlT+pATi6A7bMctXW7F4KhgMvwAswguthaX0ZtLoMGp6vxEZE5DSU5MjpOZ1Fm5sKamdKW+rA13rCIpT5tTT+VbPUQUU4mJLNP3uOsXLXMVbtPsqGA6lFlksACLb50Cm2Fl0a16ZL49q0bxCK7UwStrwc1xDvbXNdI6OSthV9PaIVjmb9WHykFhdcNRarr+9ZlExEpGZRkiNF5eWV3NxU2twzAX5F+86YsNTB2cjJc7DhQCqr9yTzz55jrN59jAMpxTs/1w2x0Tm2Nuc1qkXnRrVpFR2Ct9cZJG2GAUnxsGM+bJ8HOxcdXy8KwMsHYi+AFoOg+QCo3Rin3U7yzJnVJkkUEXEXSnJqKsNwzTNzcnNTdmlzz3gVrZkJCoAAf9f+asIwDHYnZbJmbzJr9iazem8ymw6kFlkmAVyLiLeMCuHc2Fp0blSLc2NrUT/Mv+yjn06WkQQ7F7oSm/gFkLKn6OtBUdCsDzTr55rPRmtGiYhUCCU5NcGJSx2c2NxU2lIHNt+TmpsCXPPRVLOahIMp2azdl8y/+5L5d18K/+5LISWr+Iiu2oG+nBMTRqfYWpzTMIwODcIItJ3Fn0ZWsqs/zc5FrqHeh9YXfd3bF2K6QtNeENfXtcp3NftsRUSqAyU5nsaeVzSRKZh7pqTmJoul5OYma/X6tTAMg4Op2azbl8L6/Sms25/C+gOpHE4r3gna19uLNvVD6BgTRseYMM6JqUVM7bOopQFIPwx7lrkSmz1L4eA6ME4aTRbZGpr0ciU2sReA7ykW0hQRkQpRvb7NpKisHEhOLzr/TE5pc894Fx+qHeBX7eZUcRqwKymDLYmZbDiQyvr9KWw8kEpSRvFmNm8vC80ig+jQIIz2MaG0rx9Gi6hgfH3OosxOJyRth71/HX8c2Vr8uPA4aHwRNLrQ9QiKOPNriojIGVGSUx04HK5amfyaGe+0DC4NjcZn9eaSj/ezFR2qHeTvdksdlEVGTh6bD6axKSGVTQmpbDyQwob93uQuX1LsWC8LNIsMpl2DUNrVD6Vt/VBaR4fg73uWw6yzjsH+VbD/H9i3wvU4cSK+ApFtILabq5am4QUQEn121xURkbOmJMfdFM49c0KH4JOWOvACvCxeGBYLlpOHagcGVIu5Z05kdzjZnZTBloPpbD6YyuaDaWw5mMaeo5klHG3B5uNFy6hgWtcLpU29ENrUC6FlVAUkNDlprqamA2vgwGpXcnM0vvhxPn5Q/1yI6QINurjmrAmofXbXFhGRCqckxyyG4UpeThyqnZ5Z+twzVp/CfjN5/jYWrVrBhf37Vqt5U1zJTCbbE9PYdiidrYnpbD2Yxo4j6dgdJQ9Rjwi20To6hFbRITSPDODw1tXccMUA/P1sZxdM+mE4tA4OroeD/7oSm6TtQAlx1G4C9TsfT2yi2oF39RkmLyJSUynJqQp5juPJTMYJnYKdpcw94+9XvLnphKUODLudNGee2zY/pWXb2XE4g/jD6YU/tyWms+tIRrFJ9QoE+noTVzeYVlHBtMh/tIwKoXbg8STObrczc99qfMozbN2e5eozk7gJEjfCoQ2uxCb9YMnHh9SH6I5QryPU7wT1OqmWRkSkmlKSU5GKLHVwQlJzqqUOCpub/I+PcPJ2/+ambLuDvUcz2XEkg11HMtiZ/9hxJKPEUU0FAny9iYsMIi4iiOZRwTSvG0TzusHUC/XH60wm1yuQk+ZKZg5vhSNbXD8Pb4ZjO4uPdALA4qqhiWoLddu5kprojuogLCLiQZTknKkT557JOKG5qbS5Z3ytRfvNBAW4Fqd009oYgJRMO3uOZrL3WCa7kzLZczSDXUcy2Z2UQUJqdqmTIIOrmalJnUCaRgbRpE4gzeoGExcZRHSI35knM3nZBGXvd63GnbLL1byUFO/6mZZQ+vv8a7k6Bke2cj2i2rmGdNuCziwOERGpFpTklIU976RlDjIho5S5Z8BVGxN4wlDtIH+wulcfDsMwSM3OY/+xLPYnZ7HvWCb7jh3/uedoJmnZpfQPyhdk86FxnUAa1QmkcZ1AGtcJoHGdIJpEBBLidwbldTpdzUjJe+DYbtfP5F1wdCcc3Yk17QC9ATaV8v7ACKjTAiKaH/8Z2RqC6rp1MikiIpVDSc6JDMO1rEHGCc1N6Zmu5Q9K4u1dvO9MoL9bzD2TkZPHwdRsDqZkk5CSzcGULA6kZHMgOSv/kU16zqmTGHDVyDSsHUBMLX9iwwNpVCeAhrUDaRQeQO1A37JPomcYkJkEqQcg7SCk7nc9UvYdf6TuB0cpn3U+u5cfPhHNsNSJc81FU/Co3UR9Z0REpIiam+Q4ncebmQqbm7Jcc9KUxM+3+FDtKl7qoKD2JeFYBttSLPzybwJHsxwkpmWTmJrDodRsDqW6ttPKkMAA1Aqw0qBWAA1q+ec/Aqgf5k9seAANagWcflh2biZkHD7+SE/MfxyE9EOQdsi1nXbwtAkMABZvCG0AYQ0hLNb1s3ZjqNUYe3ADZi74i0GXXorVzWrGRETE/bhFkvPOO+/w8ssvc/DgQTp06MBbb71Fly5dKu4Cufai/WYKljooicWS39R00vwzPhX/UdkdTlKy7CRn2knOzOVoRv4jM5djGbkkZeSSlJ5LUkaO62d67gmLSXrDxnWnPH+wzYeoUD+iQv2IDvUjKsSP+rX8qReW/wj1P57E5OVCTipkp0D2Pkg7BonJronvso5B5lHIOuqqjSl4ZCQVXUG7LAIjIDja9QhtkP+IgdD6ru3geuBdymdtt6vZSUREysz0JOerr77i/vvv57333qNr165MnjyZ/v37s2XLFiIjI8t3MsNwjWQ6ee2m3NKWOvApusxBoH+ZlzrIczjJyHGQkZtHRk4eGbkOMnLySMu2k5adR1p2Hun5z1Oz8kjJspOabSclK/+RaS9zbctJhSTcD0LJIC4ikOhAqBvgJMrfINLmINzmoJbVTqiPHX8j2zXqKDfD9chMh2Oprn0Fj+xUV3JjL2nivTLytkFQJATWcSUxQXUhOMr1s+AREu1abdun+szrIyIi1ZvpSc5rr73GLbfcwo033gjAe++9x6+//sonn3zCI488UqZzrJvxMcFWH4zcPAwMDMPAMMCJayoaAwOnlxdOHx/yvL1xenvj8PLCYQGH0yDP4cThcJLndJLnKHg4cDgc2Aue5+Vhz3OQ53CQl+fAaTjxwokXBt44seDEGyfeGHjjwBsnXhYnYTgIx4lP/j4reXjjxNeSh4/VgQ95+Hs78fcyCPB24OflwM+Sh80rD1/y8MWO1cjF25mLlyMHiyMHS8GQ6MP5j4rkGwx+oa4RSf5h+T/zHwHhJz1qu5IaW7BqWERExO2YmuTk5uayatUqHn300cJ9Xl5e9OnTh2XLlhU7Picnh5yc43OwpKSkABC3cRIhtmr8JXuKCh0nUNqsMwYW8PEHqx9Y/cHHH8Pq79q2BrgevkEYvgFgDXStfO0bhOEb6EpMfIMwfINcSY0txDWk2qucvxIZdsg4Wr73nCG73U5mZiZJSUk1qk+Oyq1y1wQqd80q99Gjru8N41RzkVQAU5OcI0eO4HA4qFu3bpH9devWZfPm4otPPv/880ycOLHY/pjX0ystRveXanYAIiIiZyQpKYnQ0NBKO7/pzVXl8eijj3L//fcXPk9OTiY2NpY9e/ZU6ofkblJTU4mJiWHv3r2EhISYHU6VUblV7ppA5Va5a4KUlBQaNmxI7dqVO/WHqUlOnTp18Pb25tChQ0X2Hzp0iKioqGLH22w2bLbiCzOGhobWqF+OAiEhISp3DaJy1ywqd81SU8vtVcnzypk6a52vry/nnnsu8+bNK9zndDqZN28e3bp1MzEyERERqe5Mb666//77GTVqFJ07d6ZLly5MnjyZjIyMwtFWIiIiImfC9CTnmmuu4fDhwzz11FMcPHiQjh07MmvWrGKdkUtis9l4+umnS2zC8mQqt8pdE6jcKndNoHJXbrktRmWP3xIRERExgfkrSYqIiIhUAiU5IiIi4pGU5IiIiIhHUpIjIiIiHsntkpx33nmHRo0a4efnR9euXfn7779Pefw333xDy5Yt8fPzo127dsycObPI64Zh8NRTTxEdHY2/vz99+vRh27ZtlVmEM1Kecn/44YdceOGF1KpVi1q1atGnT59ix48ePRqLxVLkMWDAgMouRrmVp9xTp04tViY/P78ix3ji/e7Zs2exclssFi699NLCY9z9fi9atIghQ4ZQr149LBYLP/zww2nfs2DBAjp16oTNZiMuLo6pU6cWO6a8/15UtfKW+/vvv6dv375EREQQEhJCt27dmD17dpFjJkyYUOxet2zZshJLUX7lLfeCBQtK/B0/ePBgkeM87X6X9HdrsVho06ZN4THV4X4///zznHfeeQQHBxMZGcnQoUPZsmXLad9XFd/fbpXkfPXVV9x///08/fTT/PPPP3To0IH+/fuTmJhY4vFLly5lxIgR3HzzzaxevZqhQ4cydOhQ1q9fX3jMSy+9xJtvvsl7773HX3/9RWBgIP379yc7O7uqinVa5S33ggULGDFiBPPnz2fZsmXExMTQr18/9u/fX+S4AQMGkJCQUPj48ssvq6I4ZVbecoNrVtATy7R79+4ir3vi/f7++++LlHn9+vV4e3tz9dVXFznOne93RkYGHTp04J133inT8Tt37uTSSy+lV69erFmzhnHjxjFmzJgiX/hn8vtT1cpb7kWLFtG3b19mzpzJqlWr6NWrF0OGDGH16tVFjmvTpk2Re7148eLKCP+MlbfcBbZs2VKkXJGRkYWveeL9fuONN4qUd+/evdSuXbvY37a73++FCxcyduxYli9fzpw5c7Db7fTr14+MjIxS31Nl39+GG+nSpYsxduzYwucOh8OoV6+e8fzzz5d4/LBhw4xLL720yL6uXbsat912m2EYhuF0Oo2oqCjj5ZdfLnw9OTnZsNlsxpdfflkJJTgz5S33yfLy8ozg4GDj008/Ldw3atQo4/LLL6/oUCtUecs9ZcoUIzQ0tNTz1ZT7/frrrxvBwcFGenp64b7qcL8LAMaMGTNOecxDDz1ktGnTpsi+a665xujfv3/h87P9HKtaWcpdktatWxsTJ04sfP70008bHTp0qLjAKllZyj1//nwDMI4dO1bqMTXhfs+YMcOwWCzGrl27CvdVt/ttGIaRmJhoAMbChQtLPaaqvr/dpiYnNzeXVatW0adPn8J9Xl5e9OnTh2XLlpX4nmXLlhU5HqB///6Fx+/cuZODBw8WOSY0NJSuXbuWes6qdiblPllmZiZ2u73YQmcLFiwgMjKSFi1acMcdd5CUlFShsZ+NMy13eno6sbGxxMTEcPnll7Nhw4bC12rK/f74448ZPnw4gYGBRfa78/0ur9P9bVfE51gdOJ1O0tLSiv1tb9u2jXr16tGkSROuvfZa9uzZY1KEFatjx45ER0fTt29flixZUri/ptzvjz/+mD59+hAbG1tkf3W73ykpKQCnXHyzqr6/3SbJOXLkCA6Ho9hMx3Xr1i3WLlvg4MGDpzy+4Gd5zlnVzqTcJ3v44YepV69ekV+GAQMG8NlnnzFv3jxefPFFFi5cyMCBA3E4HBUa/5k6k3K3aNGCTz75hB9//JH//e9/OJ1OLrjgAvbt2wfUjPv9999/s379esaMGVNkv7vf7/Iq7W87NTWVrKysCvm7qQ5eeeUV0tPTGTZsWOG+rl27MnXqVGbNmsW7777Lzp07ufDCC0lLSzMx0rMTHR3Ne++9x3fffcd3331HTEwMPXv25J9//gEq5t9Jd3fgwAF+++23Yn/b1e1+O51Oxo0bR/fu3Wnbtm2px1XV97fpyzrI2XnhhReYPn06CxYsKNIJd/jw4YXb7dq1o3379jRt2pQFCxbQu3dvM0I9a926dSuycOsFF1xAq1ateP/995k0aZKJkVWdjz/+mHbt2tGlS5ci+z3xftd006ZNY+LEifz4449F+qYMHDiwcLt9+/Z07dqV2NhYvv76a26++WYzQj1rLVq0oEWLFoXPL7jgAuLj43n99df5/PPPTYys6nz66aeEhYUxdOjQIvur2/0eO3Ys69evd5t+Q25Tk1OnTh28vb05dOhQkf2HDh0iKiqqxPdERUWd8viCn+U5Z1U7k3IXeOWVV3jhhRf4/fffad++/SmPbdKkCXXq1GH79u1nHXNFOJtyF7BarZxzzjmFZfL0+52RkcH06dPL9A+bu93v8irtbzskJAR/f/8K+f1xZ9OnT2fMmDF8/fXXxar0TxYWFkbz5s2r7b0uTZcuXQrL5On32zAMPvnkE66//np8fX1Peaw73++77rqLX375hfnz59OgQYNTHltV399uk+T4+vpy7rnnMm/evMJ9TqeTefPmFfnf+4m6detW5HiAOXPmFB7fuHFjoqKiihyTmprKX3/9Veo5q9qZlBtcvc4nTZrErFmz6Ny582mvs2/fPpKSkoiOjq6QuM/WmZb7RA6Hg3Xr1hWWyZPvN7iGW+bk5HDddded9jrudr/L63R/2xXx++OuvvzyS2688Ua+/PLLItMElCY9PZ34+Phqe69Ls2bNmsIyefL9BtfopO3bt5fpPzDueL8Nw+Cuu+5ixowZ/PHHHzRu3Pi076my7+9ydZmuZNOnTzdsNpsxdepUY+PGjcatt95qhIWFGQcPHjQMwzCuv/5645FHHik8fsmSJYaPj4/xyiuvGJs2bTKefvppw2q1GuvWrSs85oUXXjDCwsKMH3/80fj333+Nyy+/3GjcuLGRlZVV5eUrTXnL/cILLxi+vr7Gt99+ayQkJBQ+0tLSDMMwjLS0NGP8+PHGsmXLjJ07dxpz5841OnXqZDRr1szIzs42pYwlKW+5J06caMyePduIj483Vq1aZQwfPtzw8/MzNmzYUHiMJ97vAj169DCuueaaYvurw/1OS0szVq9ebaxevdoAjNdee81YvXq1sXv3bsMwDOORRx4xrr/++sLjd+zYYQQEBBgPPvigsWnTJuOdd94xvL29jVmzZhUec7rP0R2Ut9xffPGF4ePjY7zzzjtF/raTk5MLj3nggQeMBQsWGDt37jSWLFli9OnTx6hTp46RmJhY5eUrTXnL/frrrxs//PCDsW3bNmPdunXGvffea3h5eRlz584tPMYT73eB6667zujatWuJ56wO9/uOO+4wQkNDjQULFhT5vc3MzCw8xqzvb7dKcgzDMN566y2jYcOGhq+vr9GlSxdj+fLlha9dfPHFxqhRo4oc//XXXxvNmzc3fH19jTZt2hi//vprkdedTqfx5JNPGnXr1jVsNpvRu3dvY8uWLVVRlHIpT7ljY2MNoNjj6aefNgzDMDIzM41+/foZERERhtVqNWJjY41bbrnFrf4xKFCeco8bN67w2Lp16xqDBg0y/vnnnyLn88T7bRiGsXnzZgMwfv/992Lnqg73u2CI8MmPgnKOGjXKuPjii4u9p2PHjoavr6/RpEkTY8qUKcXOe6rP0R2Ut9wXX3zxKY83DNdQ+ujoaMPX19eoX7++cc011xjbt2+v2oKdRnnL/eKLLxpNmzY1/Pz8jNq1axs9e/Y0/vjjj2Ln9bT7bRiuYdH+/v7GBx98UOI5q8P9LqnMQJG/WbO+vy35AYqIiIh4FLfpkyMiIiJSkZTkiIiIiEdSkiMiIiIeSUmOiIiIeCQlOSIiIuKRlOSIiIiIR1KSIyIiIh5JSY6IiIh4JCU5ImKqRo0aMXnyZLPDEBEPpCRHRCrN6NGjsVgsxR4DBgwoPGbFihXceuutZ3yNtWvX4uvry08//VRk/3fffYefnx/r168/43OLSPWmZR1EpNKMHj2aQ4cOMWXKlCL7bTYbtWrVqrDrPPPMM7z99tts2LCB8PBwEhMTadOmDePHj+fhhx+usOuISPWimhwRqVQ2m42oqKgijxMTnJObq5KTkxkzZgwRERGEhIRwySWXsHbt2lNe49FHH6Vhw4aMHTsWgNtuu41mzZoxfvz4SimTiFQPPmYHICJyoquvvhp/f39+++03QkNDef/99+nduzdbt26ldu3aJb7H29ubTz/9lE6dOjFy5Ehmz57NmjVr8Pb2ruLoRcSdqCZHRCrVL7/8QlBQUJHHc889V+Kxixcv5u+//+abb76hc+fONGvWjFdeeYWwsDC+/fbbU16nVatWjBs3ji+//JIJEybQvHnzyiiOiFQjqskRkUrVq1cv3n333SL7SquRWbt2Lenp6YSHhxfZn5WVRXx8/Cmvk56ezldffUVAQAB//vknDz300NkFLiLVnpIcEalUgYGBxMXFlenY9PR0oqOjWbBgQbHXwsLCTvneBx98ED8/P5YuXcr555/PZ599xg033HAGEYuIp1CSIyJuo1OnThw8eBAfHx8aNWpU5vfNmTOHjz76iKVLl9KhQweeeeYZxo0bR9++fYmOjq68gEXEralPjohUqpycHA4ePFjkceTIkRKP7dOnD926dWPo0KH8/vvv7Nq1i6VLl/L444+zcuXKEt+TmprKzTffzIMPPsh5550HwH333Ufr1q3Pav4dEan+lOSISKWaNWsW0dHRRR49evQo8ViLxcLMmTO56KKLuPHGG2nevDnDhw9n9+7d1K1bt8T3jBs3jtDQUCZMmFC4z8vLiylTpvDHH3/w2WefVUaxRKQa0GSAImKq6OhoJk2axJgxY8wORUQ8jPrkiIgpMjMzWbJkCYcOHaJNmzZmhyMiHkjNVSJiig8++IDhw4czbtw4unXrZnY4IuKB1FwlIiIiHkk1OSIiIuKRlOSIiIiIR1KSIyIiIh5JSY6IiIh4JCU5IiIi4pGU5IiIiIhHUpIjIiIiHklJjoiIiHik/wc8X0WaqQ9sQgAAAABJRU5ErkJggg==" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt \n", "x = np.linspace(0, 2, 100)\n", "plt.plot(x, x, 'pink', label='lineal')\n", "plt.plot(x, x**2, label='cuadratica')\n", "plt.plot(x, x**3, label='cubica')\n", "\n", "plt.legend()\n", "plt.xlabel('Eje X')\n", "plt.ylabel('Eje Y')\n", "plt.title(\"Estructura de gráfico\")\n", "plt.xlim(0,2)\n", "plt.ylim(0,8)\n", "plt.grid()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "MARCAS\n", "==" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "ExecuteTime": { "end_time": "2023-12-26T03:54:08.297713900Z", "start_time": "2023-12-26T03:54:07.282467800Z" } }, "outputs": [ { "data": { "text/plain": "
", "image/png": 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" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "from matplotlib.lines import Line2D\n", "\n", "for i,marker in enumerate(Line2D.markers):\n", " plt.scatter(i%10,i,marker=marker,s=150) \n", "plt.show()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "ESTILOS DE LÍNEA\n", "==" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "ExecuteTime": { "end_time": "2023-12-26T03:54:08.505124200Z", "start_time": "2023-12-26T03:54:07.934593400Z" } }, "outputs": [ { "data": { "text/plain": "
", "image/png": 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" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "x = np.linspace(0, 2, 100)\n", "plt.plot(x, x, '.',label='.')\n", "plt.plot(x, x**2, '--',label='--')\n", "plt.plot(x, x**3,'-.', label='-.')\n", "plt.xlabel('Eje X')\n", "plt.ylabel('Eje Y')\n", "plt.title(\"Estructura de gráfico\")\n", "plt.show()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "2.- Gráficos de línea\n", "==" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "ExecuteTime": { "end_time": "2023-12-26T03:54:08.858705600Z", "start_time": "2023-12-26T03:54:08.425935500Z" } }, "outputs": [ { "data": { "text/plain": "
", "image/png": 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ktiyGYRhmh/gxq9VKSEgIpaWlOv9DREQaRUHJKUbNWcOhklN0jwnmlZsHEeznbXasFqUhn99aO1ZERFq04xVVjJ+3lkMlp0hqE8DCSQNVPEym8iEiIi1WWWU1N8xfx54jFUSH+LH4xlTaaOl006l8iIhIi1RZbeemRdl8c7CUsAAfFk9OpV3o2a1JJY1L5UNERFqc2kXENpK19ziBvl4snDiQjm0DzY4l31H5EBGRFsXhMLjnv9/w8bdF+Hh58OKE/vSM1bC45kTlQ0REWgzDMHjo3e28ueEQnh4WnruuH4OSws2OJT+h8iEiIi3GrFW7WfD1fgD+dXUv0rtFmhtITkvlQ0REWoSFX+/nyY93AjBzRDeu6hdrciL5JSofIiLi8t7aeIiZ72wDYGp6JyYOTjQ5kfwalQ8REXFpH28v4q5lmwG44bz23HlxJ5MTyW9R+RAREZeVtfcYGUs3YHcYXNW3Hff/oRsWi8XsWPIbVD5ERMQlbT1Uyo0Ls7HVOEjvGsk/r+6Fh4eKhytQ+RAREZez50g517+0jnJbDamJYfznur54e+ojzVXoT0pERFxKQckpxr+4luMVVfRoF8yLE/rj5+1pdixpAJUPERFxGcfKbYybt5aC0kqSIgJYOHEgQZpQ63JUPkRExCWUVVYzYf469h6pICbEjyWTUwnXhFqXpPIhIiLNXmW1nRsXZrP1kJXwAB8W35hKjCbUuiyVDxERadaq7Q6mLN3A2n3HCfL1YuGkgXSI0IRaV6byISIizZbDYXDPG9/w8bfF+H43obZHO02odXUqHyIi0ix9P6F2+cbvJtSO7UeqJtS2CCofIiLSLD29alfdhNrHR/Xm4q6aUNtSqHyIiEizM/+rfTz18S4AHvy/7lzZt53JiaQxqXyIiEiz8uaGgzy4YjsA0y/pzITz2psbSBqdyoeIiDQbH20v4s9vfAPApMGJ3D60o8mJpCmofIiISLOwZs8PE2pH9ovlvsu7akJtC6XyISIipttysJSbFmVTVePgkm6R/HNkT02obcFUPkRExFS7i8uZML92Qm1aUjjPjOmLlybUtmj60xUREdMcKjnF+Hm1E2p7xYbwgibUugWVDxERMcXRchvjX1zL4dJKOkQEsGDiQAJ9vcyOJU6g8iEiIk5nraxmwkvr2Hu0gnah/iy5MZWwAB+zY4mTqHyIiIhTVVbbuXFBNtsKrLQJ9GHx5IFEh2hCrTtR+RAREaeptjv408sbWLf/hwm1SZpQ63ZUPkRExCkcDoM/L9vMJzuK8fP24KWJA+geowm17kjlQ0REmpxhGDy4YhtvbSrAy8PC7LEpDGgfZnYsMYnKh4iINLknP97FwjUHsFjg8Wt687vktmZHEhOpfIiISJOa9+U+Zq2qnVD70BU9uKKPJtS6O5UPERFpMm/kHOTv79ZOqL370s6MH5RgciJpDlQ+RESkSXy4rZC//Ld2Qu2NQxLJ+J0m1EotlQ8REWl0X+85ypRXNmJ3GIxKieX/aUKt/IjKh4iINKpvDpZw08LaCbXDukeSeVVPFQ+pR+VDREQaze7iMia8tI6KKjvndQjn6Ws1oVZ+Tn8jRESkURw8cZJxL67jxMlqeseGMPd6TaiV0zun8vHoo49isViYOnVq3bbKykoyMjIIDw8nMDCQkSNHUlRUdK45RUSkGTtSZmP8vHUUWivp1DZQE2rlV511+Vi/fj3PP/88vXr1qrd92rRprFixgmXLlrF69WoKCgq46qqrzjmoiIg0T99PqN333YTaxZNTaa0JtfIrzqp8lJeXM3bsWF544QVat25dt720tJR58+bxxBNPMHToUFJSUpg/fz5ff/01WVlZjRZaRESah1NVtRNqtx+20ibQl5dvTCUqxM/sWNLMnVX5yMjI4PLLLyc9Pb3e9pycHKqrq+ttT05OJj4+njVr1pz2uWw2G1artd5NRESav9oJtTm1E2r9vFg0aSDt2wSYHUtcQIMPyL366qts2LCB9evX/+y+wsJCfHx8CA0Nrbc9MjKSwsLC0z5fZmYmDz74YENjiIiIiRwOg7te38ynuUfw8/Zg/g0D6BYTbHYscREN2vORn5/PnXfeycsvv4yfX+PsVpsxYwalpaV1t/z8/EZ5XhERaRqGYTDznW28s7l2Qu2ccSn014RaaYAGlY+cnByKi4vp168fXl5eeHl5sXr1ambNmoWXlxeRkZFUVVVRUlJS7/uKioqIioo67XP6+voSHBxc7yYiIs3XEx/tZHFW7YTaJ0b34aIumlArDdOgwy4XX3wxW7Zsqbdt4sSJJCcn85e//IW4uDi8vb1ZtWoVI0eOBCA3N5e8vDzS0tIaL7WIiJjixS/28swnuwH4+xU9+L/eMSYnElfUoPIRFBREjx496m0LCAggPDy8bvvkyZOZPn06YWFhBAcHc/vtt5OWlsagQYMaL7WIiDjdsux8Hn7vWwD+PKwL4zShVs5So68A8+STT+Lh4cHIkSOx2WwMGzaM5557rrFfRkREnGjljybU3nxBEn+6qIPJicSVWQzDMMwO8WNWq5WQkBBKS0t1/oeISDPw1e6jTJy/niq7g9H943h0pAbFyc815PNbs11EROQXbcov4aZF2VTZHQzvEcUjmlArjUDlQ0RETmtXURk3zF/HySo7Qzq24alr++DpoeIh507lQ0REfib/+EnGzVtLyclq+sSF8vz4FHy9NKFWGofKh4iI1FM7oXYtRVYbnSMDmX/DAAI0oVYakcqHiIjUKT1VzfUvrWP/sZPEttaEWmkaKh8iIgLUTqidvGA93x62EhFUO6E2MlgTaqXxqXyIiAhVNQ5uezmH7AMnCP5uQm1CuCbUStNQ+RARcXN2h8H01zfx2fcTaicOoGu01lmSpqPyISLixgzD4P63t/LuN4fx9rTw/Pj+pCRoQq00LZUPERE39u8Pc3l5bR4WCzw5ug8Xdo4wO5K4AZUPERE39cLne3n20z0A/OPKnvyhlybUinOofIiIuKHX1+fzj//VTqj9y2XJXJcab3IicScqHyIibuaDrYe5983aCbW3XJjEbZpQK06m8iEi4ka+3HWUO17ZhMOAawfEce9lyWZHEjek8iEi4iY+yy2um1D7+55R/OOPmlAr5tBi/SIibuCtjYe4e9lmahwGF3WJ4MnRmlAr5lH5EBFp4V78Yi8Pv1d7cumVfWL416jeeHtqx7eYR+VDRKSFMgyDf36Qy5zVtZfTTh6SyP/7fVc8tMdDTKbyISLSAtXYHfx1+RZezz4I1F5Oe+uFSTrHQ5oFlQ8RkRamstrOlKUb+fjbIjws8OhVvbhmQJzZsUTqqHyIiLQgpSeruXHRetbvP4Gvlwf/ua4fl3SLNDuWSD0qHyIiLUSRtZLr560jt6iMID8v5k0YwMBEDYmT5kflQ0SkBdhzpJzr563jUMkp2gb5smjyQJKjgs2OJXJaKh8iIi5uc34JExes53hFFYltAlg0aSBxYa3MjiXyi1Q+RERc2Be7jnDL4hxOVtnp2S6E+RMH0CbQ1+xYIr9K5UNExEW9s7mAu17fRLXdYEjHNswZn0Kgr36tS/Onv6UiIi5owVf7ePDd7RgG/KFXNE9c0wcfL61aKq5B5UNExIUYhsETH+3kmU92AzAhLYGZI7pr1VJxKSofIiIuwu4wuO+trbyyLg+Auy7pzJShHbVqqbgclQ8RERdQWW3nzlc3snJb7aqlD1/Zk+tS482OJXJWVD5ERJo5a2U1Ny3MZu2+4/h4eTDr2j5c1iPa7FgiZ03lQ0SkGSu2VjJh/nq+PWwlyNeLudf3J61DuNmxRM6JyoeISDO1/2gF419aS/7xU7QJ9GXhpAF0jwkxO5bIOVP5EBFphrYeKuWG+es4Wl5FQngrFk0aSEJ4gNmxRBqFyoeISDPz9e6j3Lw4h3JbDd2ig1k4aSARQVq1VFoOlQ8RkWbkf1sOM/XVTVTZHQxKCmPu9f0J9vM2O5ZIo1L5EBFpJpZkHeBvb2/FMOCy7lE8dW0f/Lw9zY4l0uhUPkRETGYYBk+v2sVTH+8C4LrUeP5+RQ88tWqptFAqHyIiJrI7DB54ZxuLsw4AcMfFnZiW3kmrlkqLpvIhImISW42d6a9t5r0th7FY4KH/6874tPZmxxJpciofIiImKLfVcMvibL7afQxvTwtPju7DH3rFmB1LxClUPkREnOxouY0b5q9j6yErAT6ezL2+P4M7tjE7lojTqHyIiDhR/vGTjJ+3lv3HThIe4MOCiQPpGatVS8W9eDTkwbNnz6ZXr14EBwcTHBxMWloa77//ft39lZWVZGRkEB4eTmBgICNHjqSoqKjRQ4uIuKLtBVaumv01+4+dJLa1P2/cdp6Kh7ilBpWP2NhYHn30UXJycsjOzmbo0KFcccUVbNu2DYBp06axYsUKli1bxurVqykoKOCqq65qkuAiIq5k7d5jjH5+DUfKbCRHBfHf284jsY2WSxf3ZDEMwziXJwgLC+Nf//oXV199NRERESxdupSrr74agB07dtC1a1fWrFnDoEGDzuj5rFYrISEhlJaWEhwcfC7RRESahZXbCrn9lY1U1TgY2D6MFyb0J8Rfq5ZKy9KQz+8G7fn4MbvdzquvvkpFRQVpaWnk5ORQXV1Nenp63WOSk5OJj49nzZo1v/g8NpsNq9Va7yYi0lK8ui6P25bkUFXj4JJukSyaPFDFQ9xeg8vHli1bCAwMxNfXl1tvvZXly5fTrVs3CgsL8fHxITQ0tN7jIyMjKSws/MXny8zMJCQkpO4WFxfX4DchItLcGIbBs5/u5t43t+Aw4Jr+scwe20/LpYtwFuWjS5cubNq0ibVr13LbbbcxYcIEtm/fftYBZsyYQWlpad0tPz//rJ9LRKQ5cDgMHlyxnX+tzAXgTxd14J8je+HledY7m0ValAZfauvj40PHjh0BSElJYf369Tz99NOMHj2aqqoqSkpK6u39KCoqIioq6hefz9fXF19fjYoWkZahqsbB3cs2887mAgDu/0M3Jg1JNDmVSPNyzjXc4XBgs9lISUnB29ubVatW1d2Xm5tLXl4eaWlp5/oyIiLNXoWthskL1/PO5gK8PCw8fW0fFQ+R02jQno8ZM2YwfPhw4uPjKSsrY+nSpXz22WesXLmSkJAQJk+ezPTp0wkLCyM4OJjbb7+dtLS0M77SRUTEVR0rtzFpwXo2HyyllY8ns8elcGHnCLNjiTRLDSofxcXFXH/99Rw+fJiQkBB69erFypUrueSSSwB48skn8fDwYOTIkdhsNoYNG8Zzzz3XJMFFRJqLgydOcv28dew9WkHrVt7MnziQPnGhZscSabbOeZ2PxqZ1PkTEleQWlnH9S2spstpoF+rPwkkD6dg20OxYIk7XkM9vzXYRETlL2fuPM2nBeqyVNXSODGThpIFEh/ibHUuk2VP5EBE5C6u+LeJPL2/AVuMgJaE18yb0J7SVj9mxRFyCyoeISAMty87n3je3YHcYDE1uy7PX9cPfR4uHiZwplQ8RkQZ4fvUeMt/fAcDIfrE8OrIn3lo8TKRBVD5ERM6Aw2GQ+f63vPDFPgBuuSCJe4cnY7FYTE4m4npUPkREfkO13cFf3viGNzceAuCvv0/m5gs6mJxKxHWpfIiI/IqTVTVkvLyBT3OP4Olh4bGRvRiZEmt2LBGXpvIhIvILTlRUMWnhejbmleDn7cFzY/sxNDnS7FgiLk/lQ0TkNApKTnH9S+vYXVxOiL83L93Qn5SEMLNjibQIKh8iIj+xu7iM8fPWcbi0kqhgPxZNHkjnyCCzY4m0GCofIiI/siHvBJMWrKfkZDUdIgJYNDmVdqFatVSkMal8iIh859PcYv60ZAOnqu30iQvlpRsGEBagVUtFGpvKh4gI8NbGQ9y9bDM1DoMLOkcwZ1w/WvnoV6RIU9D/WSLi9l78Yi8Pv/ctAFf0ieFfV/fGx0urloo0FZUPEXFbhmHwzw9ymbN6DwCTBidy3+Vd8fDQqqUiTUnlQ0TcUo3dwV+Xb+H17IMA3HNZF267sIOWSxdxApUPEXE7p6rs3P7KBj7+thgPC2Re1ZPRA+LNjiXiNlQ+RMStlJ6sZvLC9WQfOIGvlwfPjOnLpd2jzI4l4lZUPkTEbRwqOcWk+evJLSojyM+LeRMGMDBRq5aKOJvKh4i4hY+3F3H3G5spOVlN2yBfFk4aSNfoYLNjibgllQ8RadGqahw89sEOXvxyHwC9YkN49rp+xIW1MjmZiPtS+RCRFiv/+EmmvLKRzfklQO2ltPcOT9YaHiImU/kQkRbpg62F/PmNzZRV1hDs58W/R/XWiaUizYTKh4i0KLYaO5n/28GCr/cD0Dc+lGfG9CW2tQ6ziDQXKh8i0mIcOFbBlKUb2XKoFIBbLkji7mFd8PbUYRaR5kTlQ0RahHe/KeDe/26h3FZD61bePH5Nb4YmR5odS0ROQ+VDRFxaZbWdv7+7nZfX5gEwoH1rZo3pS3SIv8nJROSXqHyIiMvac6ScjJc3sKOwDIA/XdSB6Zd0xkuHWUSaNZUPEXFJb208xF+Xb+FklZ3wAB+eGN2HCztHmB1LRM6AyoeIuJRTVXYeeGcbr2XnAzAoKYynr+1LZLCfyclE5EypfIiIy9hVVEbG0g3sLCrHYoE7hnbijos74elhMTuaiDSAyoeIuIRl2fnc//Y2TlXbiQjy5enRfTivYxuzY4nIWVD5EJFmrcJWw9/e3sqbGw4BMKRjG54c3YeIIF+Tk4nI2VL5EJFma0ehlYyXN7DnSAUeFph+SWduu6ijDrOIuDiVDxFpdgzD4LX1+cx8Zxu2GgeRwb7MurYvqUnhZkcTkUag8iEizUq5rYa/vrmFdzYXAHBh5wieuKY34YE6zCLSUqh8iEizsa2glClLN7LvaAWeHhbuvrQLt1yQhIcOs4i0KCofImI6wzBYsjaPv7+7naoaBzEhfjxzXV9SEsLMjiYiTUDlQ0RMZa2sZsZ/t/DelsMApHdty7+u7k3rAB+Tk4lIU1H5EBHTfHOwhClLN5J3/CReHhbuHZ7M5CGJWCw6zCLSkql8iIjTGYbB/K/2k/n+t1TbDWJb+/Of6/rRJy7U7Ggi4gQqHyLiVKUnq/nzG5v5cHsRAMO6R/LY1b0J8fc2OZmIOEuD5k5nZmYyYMAAgoKCaNu2LVdeeSW5ubn1HlNZWUlGRgbh4eEEBgYycuRIioqKGjW0iLimjXkn+P2sL/hwexE+nh48+H/dmTMuRcVDxM00qHysXr2ajIwMsrKy+Oijj6iurubSSy+loqKi7jHTpk1jxYoVLFu2jNWrV1NQUMBVV13V6MFFxHU4HAYvfL6XUXPWcKjkFAnhrfjvbecx4bz2Or9DxA1ZDMMwzvabjxw5Qtu2bVm9ejUXXHABpaWlREREsHTpUq6++moAduzYQdeuXVmzZg2DBg36zee0Wq2EhIRQWlpKcHDw2UYTkWbiREUVdy3bzCc7igG4vFc0mVf1JNhPeztEWpKGfH6f0zkfpaWlAISF1V6Ln5OTQ3V1Nenp6XWPSU5OJj4+/hfLh81mw2az1QsvIi1D9v7j3P7KRg6XVuLj5cH9f+jG2NR47e0QcXNnXT4cDgdTp05l8ODB9OjRA4DCwkJ8fHwIDQ2t99jIyEgKCwtP+zyZmZk8+OCDZxtDRJohh8Ngzud7ePzDndgdBkltAvjPdf3oFqO9mSJyDuUjIyODrVu38uWXX55TgBkzZjB9+vS6r61WK3Fxcef0nCJinqPlNqa/vpnPdx4B4Mo+MTz8x54E+uriOhGpdVa/DaZMmcK7777L559/TmxsbN32qKgoqqqqKCkpqbf3o6ioiKioqNM+l6+vL76+Ghgl0hJk7T3GHa9spLjMhp937dUs1/SP02EWEamnQVe7GIbBlClTWL58OZ988gmJiYn17k9JScHb25tVq1bVbcvNzSUvL4+0tLTGSSwizY7dYTBr1S6ueyGL4jIbHdsG8nbGEEYP0PkdIvJzDdrzkZGRwdKlS3n77bcJCgqqO48jJCQEf39/QkJCmDx5MtOnTycsLIzg4GBuv/120tLSzuhKFxFxPcVllUx7bRNf7T4GwNUpsTx0RXda+egwi4icXoMutf2lf8HMnz+fG264AahdZOyuu+7ilVdewWazMWzYMJ577rlfPOzyU7rUVsR1fLX7KHe+uomj5Tb8vT15+MoejEyJ/e1vFJEWpyGf3+e0zkdTUPkQaf5q7A5mrdrFM5/uxjCgS2QQz47tS8e2QWZHExGTOG2dDxFxP0XWSm5/ZSPr9h0HYMzAOGaO6I6ft6fJyUTEVah8iMgZ+yy3mOmvb+Z4RRUBPp48clVPrujTzuxYIuJiVD5E5DfV2B08/tFOZn+2B4Bu0cH857q+JEUEmpxMRFyRyoeI/KqCklPc8cpGsg+cAGD8oAT+3+VddZhFRM6ayoeI/KJV3xZx17LNlJysJsjXi0dH9uLyXtFmxxIRF6fyISI/U1Xj4F8rd/DCF/sA6NkuhP9c15eE8ACTk4lIS6DyISL15B8/ye2vbGRTfgkAEwe3597hyfh66TCLiDQOlQ8RqbNyWyF/XrYZa2UNwX5e/GtUb4Z1P7MFAkVEzpTKh4hgq7GT+b8dLPh6PwB94kJ5Zkxf4sJamRtMRFoklQ8RN3fgWAVTlm5ky6FSAG46P5E/D0vGx6tBcydFRM6YyoeIG3vvm8Pc+99vKLPVENrKm8dH9ebirpFmxxKRFk7lQ8QNVVbbefi97SzJygOgf0JrZo3pS0yov8nJRMQdqHyIuJl9RyvIeHkD2w9bAfjTRR2YfklnvDx1mEVEnEPlQ8RNOBwG/91wkAfe2UZFlZ3wAB+eGN2HCztHmB1NRNyMyoeIG9icX8IDK7axMa8EgNTEMGaN6UtksJ+5wUTELal8iLRgxWWVPPZBLm/kHASglY8ntw/txE3nJ+owi4iYRuVDpAWy1diZ/9V+nlm1i4oqOwBX9WvHXy5L1t4OETGdyodIC2IYBh9/W8zD723nwLGTAPSOC+WBEd3oG9/a5HQiIrVUPkRaiF1FZTz07na+2HUUgIggX+69LJk/9m2Hh4fF5HQiIj9Q+RBxcaUnq3lq1U4WrTmA3WHg4+nB5PMTyfhdRwJ99b+4iDQ/+s0k4qLsDoNX1uXx+Ie5nDhZDcAl3SK57/KuJIQHmJxOROSXqXyIuKCsvcd44J1t7CgsA6BT20DuH9GN8ztpzQ4Raf5UPkRcyMETJ8n83w7e23IYgGA/L6Zf0plxgxJ06ayIuAyVDxEXcLKqhjmf7eH5z/diq3HgYYGxqQlMu6QzYQE+ZscTEWkQlQ+RZswwDN7ZXMCj7+/gcGklAIOSwpg5ojtdo4NNTicicnZUPkSaqS0HS3lwxTayD5wAILa1P/dd3pVh3aOwWHTprIi4LpUPkWbmSJmNf6/M5fWcfAwD/L09yfhdB248Pwk/b0+z44mInDOVD5FmoqrGwcKv9zNr1S7KbDUAXNknhnuHdyUqREuii0jLofIh0gx8sqOIv7/7LfuOVgDQKzaEmSO6kZIQZnIyEZHGp/IhYqLdxeU8/N52Pss9AkCbQF/uuawLV/eL1ZLoItJiqXyImKD0VDXPrNrFgq/3U+Mw8Pa0MGlIIlN+15EgP2+z44mINCmVDxEnsjsMXs/O598rczlWUQXAxcltue8P3UhsoyXRRcQ9qHyIOMm6fcd5cMU2thVYAegQEcDf/tCNi7q0NTmZiIhzqXyINLFDJad49P0drNhcAECQnxfT0jszPi0Bby2JLiJuSOVDpImcqrLz/Od7mLN6D5XVDiwWGDMwnrsu6Ux4oK/Z8URETKPyIdLIDMPgvS2HyfzfDg6VnAJgYGIYM0d0o3tMiMnpRETMp/Ih0oi2FZTy4IrtrNt3HIB2of789fdd+X1PLYkuIvI9lQ+RRnCs3Ma/P9zJq+vzMAzw8/bgtgs7cvMFSfj7aEl0EZEfU/kQOQfVdgeL1hzgqY93UlZZuyT6iN4xzBieTEyov8npRESaJ5UPkbO0eucRHlqxjT1HapdE7x4TzMwR3RmYqCXRRUR+jcqHSAPtO1rBw+9uZ9WOYgDCA3z487AujOofh6eWRBcR+U0qHyJnqKyymv98spuXvtpHtd3Ay8PCDee15470TgRrSXQRkTPW4BWOPv/8c0aMGEFMTAwWi4W33nqr3v2GYXD//fcTHR2Nv78/6enp7Nq1q7Hyijid47sl0X/379U8//lequ0GF3WJYOW0C7jvD91UPEREGqjB5aOiooLevXvz7LPPnvb+xx57jFmzZjFnzhzWrl1LQEAAw4YNo7Ky8pzDijhbzoHjXPHsV9zzxjccLbeR1CaA+TcMYMHEgXSICDQ7noiIS2rwYZfhw4czfPjw095nGAZPPfUU9913H1dccQUAixYtIjIykrfeeotrr7323NKKOMnh0tol0d/e9N2S6L5e3HFxJyac1x4fLy2JLiJyLhr1nI99+/ZRWFhIenp63baQkBBSU1NZs2bNacuHzWbDZrPVfW21WhszkkiDVFbbeeHzvTz32R5OVduxWGB0/zjuurQLEUFaEl1EpDE0avkoLCwEIDIyst72yMjIuvt+KjMzkwcffLAxY4g0mGEYfLC1kH/871sOnqhdEr1/QmtmjuhOz1gtiS4i0phMv9plxowZTJ8+ve5rq9VKXFyciYnE3Xx72MpDK7azZu8xAKJD/Jjx+66M6BWtJdFFRJpAo5aPqKgoAIqKioiOjq7bXlRURJ8+fU77Pb6+vvj6ane2ON+Jiioe/yiXpWvzcBjg6+XBLRd24NYLk2jlY3ovFxFpsRr1N2xiYiJRUVGsWrWqrmxYrVbWrl3Lbbfd1pgvJXLWqu0OXs46wJMf76L0VDUAl/eM5t7hycSFtTI5nYhIy9fg8lFeXs7u3bvrvt63bx+bNm0iLCyM+Ph4pk6dysMPP0ynTp1ITEzkb3/7GzExMVx55ZWNmVukwQzD4ItdR/n7u9vZVVwOQNfoYGaO6MagpHCT04mIuI8Gl4/s7Gx+97vf1X39/fkaEyZMYMGCBdxzzz1UVFRw8803U1JSwpAhQ/jggw/w8/NrvNQiDVBhq+HtTQUszjrAt4drr6Zq3cqbu4d14doB8VoSXUTEySyGYRhmh/gxq9VKSEgIpaWlBAcHmx1HXNju4jKWZOXx35yDlNlqJ876enlwXWo8Uy/uTEgrrUwqItJYGvL5rbPqpEWptjv4aHsRi9ccqLt6BaB9eCvGDUrg6pRYQlv5mJhQRERUPqRFKCyt5JV1ebyyLo/istpF6zwskN41kvFpCQzu0AYPHV4REWkWVD7EZRmGwZo9x1icdYAPtxdhd9QeQWwT6MuYgXGMGRhPTKi/ySlFROSnVD7E5ZSequbNDQdZnHWAvUcq6rYPTAxj/KAEhnWP0vwVEZFmTOVDXMbWQ6W8vPYAb20s4FS1HYAAH0+u6hfLuEEJdIkKMjmhiIicCZUPadYqq+28v/Uwi9YcYGNeSd32LpFBjEtL4I992xHoq7/GIiKuRL+1pVnKP36SJWsP8Pr6fE6crF2F1NvTwmU9ohk/KIEB7Vtr7oqIiItS+ZBmw+4wWL2zmMVrDvDZziN8vwJNTIgf16XGc82AONoGabE6ERFXp/IhpjtWbuP17IO8vPZA3Th7gPM7tWH8oASGJrfFy1MnkIqItBQqH2IKwzDYkFfCkqwDvPfNYarsDgBC/L0ZlRLL2EEJJLYJMDmliIg0BZUPcaqTVd/NWVlzgO3fzVkB6NkuhPFpCYzoFYO/j6eJCUVEpKmpfIhT7C4uZ0nWAf674SBllT/MWRnRO4bxgxLoHRdqbkAREXEalQ9pMtV2Bx9vL2Jx1gG+3vPDnJWE8FaMS62ds9I6QHNWRETcjcqHNLoi6w9zVoqsP8xZGZpcO2fl/I6asyIi4s5UPqRRGIbBmr3HWJJ1gJXbfjxnxYfRA2rnrMS2bmVyShERaQ5UPuScWCureTOnds7Knh/NWRnQvjXjBiVwWY8ofL10AqmIiPxA5UPOyraCUpZk5fHWxkN1c1Za+Xjyx77tGDcoga7RwSYnFBGR5krlQ86YrcbO+1sKWZx1gJwDJ+q2d2obyPjv5qwE+XmbmFBERFyByof8pvzjJ1m6Lo/X1udzvKIKAC8PC8N6RHH9oAQGJoZpzoqIiJwxlQ85LYfDYPWuIyxZc4BPcovr5qxEBdfOWbl2QBxtgzVnRUREGk7lQ+o5XlHF69n5vLz2APnH689ZGZuaQHpXzVkREZFzo/IhGIbBxvwSlqw5wLtbDlNVUztnJdjPi1H94xibGk9SRKDJKUVEpKVQ+XBjJ6tqeGdTAYuzDrCt4Ic5Kz3aBXP9oPaM6K05KyIi0vhUPtzQniO1c1beyPlhzoqPlwcjesUwPi2B3rEhOoFURESajMqHGzAMg71HK1i79zjvbSngq90/zFmJD2vFuEHxjEqJ05wVERFxCpWPFsgwDPYcqSBr7zHW7jtO1t5jHCmz1d1vscDFyW0ZNyiBCzpFaM6KiIg4lcpHC2AYBruLy8nae4ysfcdZu/c4R8tt9R7j4+VB37hQzuvQhqv6tSMuTHNWRETEHCofLsgwDHZ9Xzb2HmPt3uMc+27xr+/5ennQL741qUlhDEoKp09cKH7eOnlURETMp/LhAhwOg53FZWTtqT2Msnbf8bqVRr/n6+VBSkJrBiWFMygpnN5xIRroJiIizZLKRzPkcBjsKCxj7b7aPRvr9h3nxMnqeo/x8/agf0IYg5LCSE0Kp1esyoaIiLgGlY9mwOEw+LbQStbe43Vlo/RU/bLh7+1J//bf79kIo2e7UHy8tNKoiIi4HpUPE9gdBt8etn53zsZx1u07hvW79Ta+18rHk/7ta/dsDEoKp2e7ELy1rLmIiLQAKh9OUGN3sP2wlbXf79nYf7xuca/vBfh4MiCxtmikJobRQ2VDRERaKJWPJlBjd7CtwFq3zsb6fccps9UvG0G+XgxIDCP1u8LRPSZYA9tERMQtqHw0gmq7g62HSusW9Mref4Lyn5YNPy9SE8NITay9GqVbTDCeWtxLRETckMrHWai2O/jmYOl3V6McJ2f/cSqq7PUeE+znxcDE8LpzNrpGq2yIiIiAyscZqapxsOVQSd3VKDkHTnDyJ2UjxN+7ds/Gd1ejJEepbIiIiJyOysdp2GrstXs2vrsaJefACU5V1y8brVt5M/C78zUGJYXTJTJIM1JERETOgMoHtWVjc35p3XLlG/JOUFntqPeYsACfupNDU5PC6NxWZUNERORsuGX5qKy2sym/pG4uyoa8E9hq6peN8ACfuqIxKCmcjhGBKhsiIiKNwG3KR0HJKV5bn0/W3mNszC+h6idlo02gb13RSEsKo0NEIBaLyoaIiEhjc5vyUXqqmqdX7ar7um2Qb93JoamJ4XSICFDZEBERcQK3KR9dIoMY3T+O3nGhDEoKI7GNyoaIiIgZmmxJzWeffZb27dvj5+dHamoq69ata6qXOiMeHhb+eXUvrkuNJ0mHVEREREzTJOXjtddeY/r06cycOZMNGzbQu3dvhg0bRnFxcVO8nIiIiLiQJikfTzzxBDfddBMTJ06kW7duzJkzh1atWvHSSy81xcuJiIiIC2n08lFVVUVOTg7p6ek/vIiHB+np6axZs+Znj7fZbFit1no3ERERabkavXwcPXoUu91OZGRkve2RkZEUFhb+7PGZmZmEhITU3eLi4ho7koiIiDQjps9wnzFjBqWlpXW3/Px8syOJiIhIE2r0S23btGmDp6cnRUVF9bYXFRURFRX1s8f7+vri6+vb2DFERESkmWr0PR8+Pj6kpKSwatWqum0Oh4NVq1aRlpbW2C8nIiIiLqZJFhmbPn06EyZMoH///gwcOJCnnnqKiooKJk6c2BQvJyIiIi6kScrH6NGjOXLkCPfffz+FhYX06dOHDz744GcnoYqIiIj7sRiGYZgd4sesVishISGUlpYSHBxsdhwRERE5Aw35/Db9ahcRERFxLyofIiIi4lQqHyIiIuJUTXLC6bn4/hQULbMuIiLiOr7/3D6TU0mbXfkoKysD0DLrIiIiLqisrIyQkJBffUyzu9rF4XBQUFBAUFAQFoulUZ/barUSFxdHfn6+W15J4+7vH/QzcPf3D/oZ6P279/uHpvsZGIZBWVkZMTExeHj8+lkdzW7Ph4eHB7GxsU36GsHBwW77lw70/kE/A3d//6Cfgd6/e79/aJqfwW/t8fieTjgVERERp1L5EBEREadyq/Lh6+vLzJkz3XaKrru/f9DPwN3fP+hnoPfv3u8fmsfPoNmdcCoiIiItm1vt+RARERHzqXyIiIiIU6l8iIiIiFOpfIiIiIhTuU35ePbZZ2nfvj1+fn6kpqaybt06syM5zeeff86IESOIiYnBYrHw1ltvmR3JqTIzMxkwYABBQUG0bduWK6+8ktzcXLNjOdXs2bPp1atX3aJCaWlpvP/++2bHMs2jjz6KxWJh6tSpZkdxmgceeACLxVLvlpycbHYspzp06BDjxo0jPDwcf39/evbsSXZ2ttmxnKZ9+/Y/+ztgsVjIyMhweha3KB+vvfYa06dPZ+bMmWzYsIHevXszbNgwiouLzY7mFBUVFfTu3Ztnn33W7CimWL16NRkZGWRlZfHRRx9RXV3NpZdeSkVFhdnRnCY2NpZHH32UnJwcsrOzGTp0KFdccQXbtm0zO5rTrV+/nueff55evXqZHcXpunfvzuHDh+tuX375pdmRnObEiRMMHjwYb29v3n//fbZv387jjz9O69atzY7mNOvXr6/35//RRx8BMGrUKOeHMdzAwIEDjYyMjLqv7Xa7ERMTY2RmZpqYyhyAsXz5crNjmKq4uNgAjNWrV5sdxVStW7c2XnzxRbNjOFVZWZnRqVMn46OPPjIuvPBC48477zQ7ktPMnDnT6N27t9kxTPOXv/zFGDJkiNkxmpU777zT6NChg+FwOJz+2i1+z0dVVRU5OTmkp6fXbfPw8CA9PZ01a9aYmEzMUlpaCkBYWJjJScxht9t59dVXqaioIC0tzew4TpWRkcHll19e7/eBO9m1axcxMTEkJSUxduxY8vLyzI7kNO+88w79+/dn1KhRtG3blr59+/LCCy+YHcs0VVVVLFmyhEmTJjX6ENcz0eLLx9GjR7Hb7URGRtbbHhkZSWFhoUmpxCwOh4OpU6cyePBgevToYXYcp9qyZQuBgYH4+vpy6623snz5crp162Z2LKd59dVX2bBhA5mZmWZHMUVqaioLFizggw8+YPbs2ezbt4/zzz+fsrIys6M5xd69e5k9ezadOnVi5cqV3Hbbbdxxxx0sXLjQ7GimeOuttygpKeGGG24w5fWb3VRbkaaUkZHB1q1b3epY9/e6dOnCpk2bKC0t5Y033mDChAmsXr3aLQpIfn4+d955Jx999BF+fn5mxzHF8OHD6/67V69epKamkpCQwOuvv87kyZNNTOYcDoeD/v3788gjjwDQt29ftm7dypw5c5gwYYLJ6Zxv3rx5DB8+nJiYGFNev8Xv+WjTpg2enp4UFRXV215UVERUVJRJqcQMU6ZM4d133+XTTz8lNjbW7DhO5+PjQ8eOHUlJSSEzM5PevXvz9NNPmx3LKXJyciguLqZfv354eXnh5eXF6tWrmTVrFl5eXtjtdrMjOl1oaCidO3dm9+7dZkdxiujo6J8V7a5du7rVoafvHThwgI8//pgbb7zRtAwtvnz4+PiQkpLCqlWr6rY5HA5WrVrldse73ZVhGEyZMoXly5fzySefkJiYaHakZsHhcGCz2cyO4RQXX3wxW7ZsYdOmTXW3/v37M3bsWDZt2oSnp6fZEZ2uvLycPXv2EB0dbXYUpxg8ePDPLrHfuXMnCQkJJiUyz/z582nbti2XX365aRnc4rDL9OnTmTBhAv3792fgwIE89dRTVFRUMHHiRLOjOUV5eXm9f93s27ePTZs2ERYWRnx8vInJnCMjI4OlS5fy9ttvExQUVHeuT0hICP7+/ianc44ZM2YwfPhw4uPjKSsrY+nSpXz22WesXLnS7GhOERQU9LNzfAICAggPD3ebc3/uvvtuRowYQUJCAgUFBcycORNPT0/GjBljdjSnmDZtGueddx6PPPII11xzDevWrWPu3LnMnTvX7GhO5XA4mD9/PhMmTMDLy8QK4PTra0zyzDPPGPHx8YaPj48xcOBAIysry+xITvPpp58awM9uEyZMMDuaU5zuvQPG/PnzzY7mNJMmTTISEhIMHx8fIyIiwrj44ouNDz/80OxYpnK3S21Hjx5tREdHGz4+Pka7du2M0aNHG7t37zY7llOtWLHC6NGjh+Hr62skJycbc+fONTuS061cudIAjNzcXFNzWAzDMMypPSIiIuKOWvw5HyIiItK8qHyIiIiIU6l8iIiIiFOpfIiIiIhTqXyIiIiIU6l8iIiIiFOpfIiIiIhTqXyIiIiIU6l8iIiIiFOpfIiIiIhTqXyIiIiIU6l8iIiIiFP9fy4wBja32LYzAAAAAElFTkSuQmCC" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "y2 = [1,4,9,16,25,36,49,64]\n", "plt.plot(y2)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "3.- Gráficos de dispersión\n", "==" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "ExecuteTime": { "end_time": "2023-12-26T03:54:09.104894Z", "start_time": "2023-12-26T03:54:08.769191400Z" } }, "outputs": [ { "data": { "text/plain": "
", "image/png": 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" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "np.random.seed(7)\n", "datos = np.random.rand(2,20)\n", "plt.scatter(datos[0],datos[1])\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Grupos de dispersión\n", "==" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "ExecuteTime": { "end_time": "2023-12-26T03:54:24.243913100Z", "start_time": "2023-12-26T03:54:09.104894Z" } }, "outputs": [ { "data": { "text/plain": "
", "image/png": 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" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "from sklearn.datasets import make_blobs\n", "datos_mb,features = make_blobs(n_samples=20, centers=4, random_state=3)\n", "plt.scatter(datos_mb[:, 0], datos_mb[:, 1], marker='o', c=features) \n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "4.- Polinomios\n", "==" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "ExecuteTime": { "end_time": "2023-12-26T03:54:33.902628700Z", "start_time": "2023-12-26T03:54:15.448749100Z" } }, "outputs": [ { "data": { "text/plain": "[,\n ]" }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "text/plain": "
", "image/png": 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" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = list(range(-4 , 5))\n", "b = np.linspace(-4, 4, 200)\n", "y = [i**2 for i in x]\n", "z = np.polyfit(x, y, 2)\n", "\n", "p = np.poly1d(z)\n", "plt.plot(x,y,'x',b,p(b))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "5.- Mapa de colores\n", "==" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "ExecuteTime": { "end_time": "2023-12-26T03:54:33.908725900Z", "start_time": "2023-12-26T03:54:16.033814600Z" } }, "outputs": [ { "data": { "text/plain": "Text(0.5, 0.98, 'Este es un título')" }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "text/plain": "
", "image/png": 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" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "fig, axes = plt.subplots(2, 2) # Figura con grillas de ejes 2x2 \n", "fig.suptitle('Este es un título')" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "ExecuteTime": { "end_time": "2023-12-26T03:54:36.138066200Z", "start_time": "2023-12-26T03:54:18.842566400Z" } }, "outputs": [ { "data": { "text/plain": "
", "image/png": 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" }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": "
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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "cmaps = [\n", " ('Sequential', [\n", " 'Greys', 'Purples', 'Blues', 'Greens', 'Oranges', 'Reds',\n", " 'YlOrBr', 'YlOrRd', 'OrRd', 'PuRd', 'RdPu', 'BuPu',\n", " 'GnBu', 'PuBu', 'YlGnBu', 'PuBuGn', 'BuGn', 'YlGn']),\n", " ('Sequential (2)', [\n", " 'binary', 'gist_yarg', 'gist_gray', 'gray', 'bone', 'pink',\n", " 'spring', 'summer', 'autumn', 'winter', 'cool', 'Wistia',\n", " 'hot', 'afmhot', 'gist_heat', 'copper']),\n", " ]\n", "\n", "\n", "gradient = np.linspace(0, 1, 256)\n", "gradient = np.vstack((gradient, gradient)) \n", "\n", "def plot_color_gradients(clase_de_mapa, lista_de_datos):\n", " \n", " numero_de_filas = len(lista_de_datos)\n", " altura = 0.35 + 0.15 + (numero_de_filas + (numero_de_filas-1)*0.1)*0.22\n", " fig, axes = plt.subplots(nrows=numero_de_filas, figsize=(6.4, altura)) \n", " fig.subplots_adjust(top=1-.35/altura, bottom=.15/altura, left=0.2, right=0.99)\n", "\n", " axes[0].set_title('Mapa de colores de tipo: ' + clase_de_mapa , fontsize=14)\n", "\n", " for ax, nombre in zip(axes, lista_de_datos):\n", " ax.imshow(gradient, aspect='auto', cmap=plt.get_cmap(nombre))\n", " ax.text(-.01, .5, nombre, va='center', ha='right', fontsize=10,transform=ax.transAxes)\n", "\n", " for ax in axes:\n", " ax.set_axis_off()\n", "\n", "for clase_de_mapa, lista_de_datos in cmaps:\n", " plot_color_gradients(clase_de_mapa, lista_de_datos)\n", "\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "ExecuteTime": { "end_time": "2023-12-26T03:54:37.601080Z", "start_time": "2023-12-26T03:54:31.358093200Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "50\n" ] }, { "data": { "text/plain": "
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" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import matplotlib.colors\n", "\n", "np.random.seed(7)\n", "x,y = zip(*np.random.rand(50,2))\n", "color=[]\n", "print(len(x))\n", "for i in range(0,50):\n", " color.append(x[i]+y[i]/2)\n", "\n", "cmap = matplotlib.colors.LinearSegmentedColormap.from_list(\"\", [\"red\",\"yellow\",\"green\", \"blue\"])\n", "plt.scatter(x,y,c=color, cmap='hot')\n", "plt.colorbar()\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "ExecuteTime": { "end_time": "2023-12-26T03:54:37.617763800Z", "start_time": "2023-12-26T03:54:33.769031200Z" } }, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.8.2" } }, "nbformat": 4, "nbformat_minor": 4 }