{ "cells": [ { "cell_type": "markdown", "metadata": { "zanadu": {} }, "source": [ "A quick introduction to Seaborn\n", "---" ] }, { "cell_type": "markdown", "metadata": { "zanadu": {} }, "source": [ "# Why not Matplotlib?" ] }, { "cell_type": "markdown", "metadata": { "zanadu": {} }, "source": [ "Historically, the package of choice to visualise data in Python was matplotlib, introduced in 2003, and based on a MATLAB-like interface. As a historical anecdote, it is interesting to note that it was originally conceived to visualize Electrocorticography data of epilepsy patients." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "zanadu": { "code_type": "", "is_hidden": false } }, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np" ] }, { "cell_type": "markdown", "metadata": { "zanadu": {} }, "source": [ "#### Simple plot" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "aa = np.linspace(0, 10, 100)\n", "bb = np.exp(-aa)\n", "plt.plot(aa, bb)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "zanadu": {} }, "source": [ "Question: what is wrong with the graph?" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "zanadu": { "code_type": "", "is_hidden": true } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "def f(x): \n", " return np.exp(-x)\n", "aa = np.linspace(0, 10, 100)\n", "bb = f(aa)\n", "plt.plot(aa, bb, linewidth=3)\n", "plt.title('Function $x \\mapsto e^{-x}$')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "zanadu": {} }, "source": [ "#### Empirical histogram" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "zanadu": { "code_type": "", "is_hidden": false } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "xx = np.random.normal(size=20000)\n", "\n", "plt.hist(xx, bins=50)\n", "plt.title('Empirical histogram of a Gaussian sample')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "zanadu": {} }, "source": [ "#### Scatter plot" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "zanadu": { "code_type": "", "is_hidden": false } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "n = 1000\n", "fig, ax = plt.subplots(nrows=1, ncols=2, figsize=(10, 4))\n", "plt.subplot(1, 2, 1)\n", "aa = np.random.normal(0., 3., n)\n", "bb = np.random.normal(0., 1., n)\n", "plt.scatter(aa, bb, color='r')\n", "plt.title('Scatter plot of a Gaussian sample')\n", "\n", "plt.subplot(1, 2, 2)\n", "aa = np.random.rand(n)\n", "bb = np.random.rand(n)\n", "plt.scatter(aa, bb, color='b')\n", "plt.title('Scatter plot of a Uniform sample')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "zanadu": {} }, "source": [ "#### 3D Plot" ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "zanadu": { "code_type": "", "is_hidden": false } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from mpl_toolkits.mplot3d import Axes3D\n", "fig = plt.figure()\n", "ax = fig.gca(projection='3d')\n", "XX = np.arange(-5, 5, 0.5)\n", "YY = np.arange(-5, 5, 0.5)\n", "XX, YY = np.meshgrid(XX, YY)\n", "ZZ = XX**2 - YY**2\n", "surf = ax.plot_surface(XX, YY, ZZ, rstride=1, cstride=1)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "zanadu": {} }, "source": [ "## Matplotlib limitations" ] }, { "cell_type": "markdown", "metadata": { "zanadu": {} }, "source": [ "Matplotlib was introduced before the release in 2008 of the library pandas (a contraction of 'panel data'), the state-of-the-art and extremely powerful package to deal with and analyse large amount of data. Note that pandas was orginally developed for financial data, by Wes McKinney while working for AQR Capital Management. Despite matplotlib's wide functionalities, the release of pandas has shown some limitations, including: default output are not always best, and a lot of manual tinkering is often needed to achieve one's goal, direct plotting from pandas' DataFrame is not possible. Note however that recent versions of matplotlib are improving in those directions." ] }, { "cell_type": "markdown", "metadata": { "zanadu": {} }, "source": [ "# Seaborn" ] }, { "cell_type": "markdown", "metadata": { "zanadu": {} }, "source": [ "Seaborn, introduced in 2012, provides an application programming interface (API) on top of matplotlib, with similar tools, but that can be called directly from a pandas DataFrame." ] }, { "cell_type": "markdown", "metadata": { "zanadu": {} }, "source": [ "#### Seaborn vs matplotlib" ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "zanadu": { "code_type": "" } }, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "plt.style.use('classic')\n", "%matplotlib inline\n", "import numpy as np\n", "import pandas as pd\n", "# Create some data\n", "n, p = 100, 5" ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "zanadu": { "code_type": "" } }, "outputs": [ { "data": { "image/png": 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RUlaG8mZWrdYcOYc3A3gCQKgQIkS/bRaAx4QQQ6G4euIAvGiGsSSSVsv/xcbidQ8PuLRta2lRWix9OnSAX8eO2J2VhUe6dm2UMUhiVmwsNqWnw9HGBhlqNbLVarzYvTu+6NULNs2ghIRZg7sNEkC6elod8trWj3KdDt+npuKT+HhE33BDjQJqkvqxOT0d69PSsN/IGfbJZWVob2UFJyOygUhidmws9mZn458hQ+Csv0nnazSYHBYGKyHws68v7G1sQBIH8/KwKT0db3t61jvuYFFXj0QiaRy0JDakpaH/iRPYnZWFfQaqZkrqz4POzjhdWIi40lKj2k8JD8eE0FBoruKuIYn/i43FnmpKHwAcbGywd9Ag+Nja4qbgYGxIS8PI4GC8EhUFpzZtMDokBEebcOUwafFLmhx5bY1jang4YlUqfNazJ26/hiYeNQdmREejs40N5vn41NnuXFERxp07B7+OHXGjvT3m19K+VKvFWzExCMzPx79DhtTqjiOJ5cnJ2JGVhenu7pjo7AxrIbAvOxtPRkTgx379cL+RNY6kxW8BLi852KlTJzg6OmL8+PFITEy0tFhNTuXzcPk1ffp0S4vV4okpLcVfubk4MGSIVPqNwHPduuHH1NSrLhC/MjkZL3Xvjg39+2NNair+NVDjP7y4GDcGByNHrUbg0KF1xmCEEJjh4YGDQ4fiIX0VUwAY16UL9g4ahBeiorCpCdb1kIrfBH7//XcUFRUhNTUVrq6ueO211ywtkkW4fB4uv1asWGFpkVo8Xycl4Vk3N3Rshfn2TcHgTp3gaWuLz+Lja336zFWrsS0zE8936wa3du2wrn9/PHnhAjLLy6HR6XCuqAiLEhJwe0gIZnp4YIuvLzqbMCv4Bnt7/DNkCN64eBEBjbyIjFT8ZsDW1hYPP/wwwsPDLS2K5BogX6PBT+npmG5kxUxJw9ju64ufMzMx8+JFg9U716Wl4V4nJ7jpq5He7eSEx11dcd2pU+gcFITJYWE4X1yMwKFD8Uy3bhBmKHTn27Ejtvj64n/h4YgsKTG5v9qQit8MlJSU4Oeff8bIkSMtLYrEQpDEf3l5yFWrTe7rh9RUjHNyqrKYucT8eNjaInDoUIQUFeHR8HCotNqKfToSK5OTa9x8P/HxwS9+fkgaNQoRN96IDQMGoL+ZZwHf6eiIT3v2xPhz55BVXm7Wvi/TooO74mPzlJLlnPqfA29vb2RlZcHGxgZFRUXo2rUr9u/fb5Ea9AEiwCz9+NO/3sdUPg+XWbx4MZ5//vlaj7nWgrvlOh1ejorCgdxcFGg0uN/ZGc9164bbHBzqbQVqdDr0On4cv/r5YUQtyxtKzItKq8WTERGILCnBR97emOTsjP05OfgwNhanhg83iyXfEN6PicG/eXnY0L+/wZuLRatzWpKGKGxzsnPnTtx1113QarXYtWsXbr/9doSHh1esytVUNERhm5PL56E1kqNW46GwMNhbWyP8+uuh0umwMT0dL0dFwdvWFlt8fa9aJrkyv2VlwcvWVir9JsTW2hpbfX2xJzsbC+Lj8WFsLNoJgdc9PCym9AHg0549sTw5GbeGhGCamxv+z8sLdmZK55WuHjNgbW2NBx98ENbW1ggKCrK0OJImIkGlwsjgYAzv1Am/DRyITjY2cG7bFjM9PXF2xAj0tLXFyOBgXDTSV0sSyxIT8aaHRyNLLqmOlRCY4OyMY8OGYUWfPrjB3h6PNtLM3vrI9LqHB0JHjEB6eTkGnDiBoLw88/Rtll5aOSSxa9cu5ObmYsCAAZYWR9IEaHQ6TAkPx9NubljSu3eNRcTbWFlhRd++mOHujpvPnMHBq2RpaEm8HBUFKyGMzuOWmB8hBO50dMR3/fqhfTPJqHJr1w7rBwzA9/36YVJYGPZlZ5vcZ4t29Via+++/H9bW1hBCwMvLC+vXr4efn5+lxWpyLp+Hy4wZMwY7duywoESNz+cJCbC1ssL7PXrU2e5ld3f07dABj4SFIeKGG6rM5ryMWqfDUxERSCsvx/7Bg2vcRCQSQMn13zVwICadP4+vTazO2qKDu5KWSUu/ticKCnB/aChODx9udObNK1FRsLWywrJq5YBLtVpM1qcBb/f1bRUrYklM4/Js4pSbb7b8QiwNRSr+1kdLvrZFGg2GnT6NT3188HA9fMBpZWXwO3kSwSNGwEt/syCJyeHhEAA2DRiANs2gaqOkZXCxpAR9OnaUJRskksaGJF6NjsZN9vb1UvqA4qd9xd0dc2JjK7Z9npCABJUKG/r3l0pfUi96d+hg0vHSxy+RGAFJvBkTg8iSEvxtZDnf6rzj6Yk+x48jtKgIiWVlWJGcjBPDh0v3jqTJkWaGpNWj0ekwOiSkzuJYc+LicDA3F/sGD25waWR7Gxt80KMHXoqKwtMREdjm5wd3fTkAiaQpMcfSi55CiINCiAtCiDAhxOv67U5CiANCiGj9X0fTxZVIzM/mjAzkazSYfekSFlQr2kUSixISsD0zE38NGQJHE4pwAUqWT5ZajU98fHCzg4OpokskDcLk4K5+bd1uJIOFEHYATgOYCOBpADkkPxdCvA/AkeR7Bo6Xwd1WRmNe27NFRbhUWopJLi5GtdfodBhw8iS+7dsX/Tt0wH2hoRjWqRNe8/DAL5mZ2JqRAVsrK+wbNMhstXO0pEzZlJiMRevxk0wlGax/XwjgAgB3AA8AWK9vth7KzUAiaTSSVCqMP3cOz0dG4kBOjlHHbMnIgFvbthjduTO6t2uHQ0OHIlOtxoTQUKh0Omz19cW5ESPMWjBNKn2JpTFrOqcQwhvAIQADASSQ7FxpXy7JGu4eafG3Phrj2hZrtbj1zBk82rUrRtnb4+GwMPw3dGidlRO1JHxPnMCqvn1xp6P0REpaFs2iSJsQohOAXwHMJFlQn+JGc+fOrXjv7+8Pf39/c4klaQXoSDx54QIGd+yIdzw9IYTAwp49cV9oKI4PH44utfjlt2ZkwKVNG9whV7iStAACAgIQEBBglr7MYvELIdoA2ANgP8ll+m2RAPxJpurjAAEk+xk4tsVa/Js3b8ayZcsQEREBOzs7DB06FLNnz8Ytt9xiadGaNea+th/HxeHv3Fz8PWQI2lXKh38vJgZHCgrws68vulfLntGS8DtxAsv79MEYJyezySKRNBUW9fELxbRfA+DCZaWvZzeAp/TvnwKwy9SxmhPLli3DzJkzMWvWLKSnpyMhIQGvvPIKdu26pr5ms0et0+GrpCRsHDCgitIHgM969sRtDg4YdPIk5sXFoVirRalWix9SUnDdqVPwtrXFXdLFI2mFmCOr5xYAgQBCAej0m2cBOA5gG4AeABIAPEKyRsStJVr8+fn5cHd3x9q1a/HII49YWpwWhzmv7QH9ghnHhw+vtU1saSk+uHQJQfn5KCdxg50dXvfwwF2Ojhatty6RmIIpFr+s1dMA/vzzT9x3331QqVRVVp6SGIc5r+2rUVHwbNcO73t5XbVtSGEhOlhbo6+J090lkuZAswjuWgRzWWv1VELZ2dlwdnaWSt/C6EjszMrCP0aWUBhqZ9fIEkkkLYOWrbks9ETQpUsXZGVlQaPRSOVvQU4WFsLexsbsi11LJNc6slZPAxg1ahRsbW2xc+dOS4vSqtmRmYlJcrUqiaTeSMXfABwcHDBv3jy8+uqr2LlzJ0pKSqBWq7Fv3z68++67lhav1bAzK0sqfomkAUg/RQN588034erqik8++QRTp06FnZ0dhg8fjtmzZ1tatFbBheJiFGm1GC799hJJvZFZPZImxxzX9tP4eKSUlWFF375mkkoiaVlYdAKXRGIJdmRlGV2BUyKRVEUqfkmL42JJCS6VluI2Wc9eImkQUvFLWhyzY2Mx08NDrlMrkTQQ+cuRNFt0BuIAx/LzcTg/H296elpAIonk2kAqfkmzpFSrRY+jR7E2NbViG0m8HROD+T4+6CgXKJdIGoxU/JJmyc6sLLi1bYv/i43Fj3rlvyMrCwVaLZ50c7OwdBJJy6bZ5vF7eXnJyonXKF5GFFT7MS0N7/Toges6dcKdZ8+iXKfDsqQkrOjTRy5dKJGYSLPN45e0XuJKSzHi9GkkjRoFW2trRJWUYHRICAZ27Ij9RhZkk0iuda7JssyS1svHcXHIUquxvE+fim2pZWWwEQIubdtaUDKJpPnQessyS645dCTWpqbit4EDq2zvVm3pRIlE0nDMEtwVQvwohMgQQpyvtG2uECJZCBGif91rjrEk1zYH8/LQ2cYG13XqZGlRJJJrFnNl9awDMNbA9i9IDtW//jDTWJJrmB9TU/FMt24ysC+RNCJmUfwkDwGosZ6uRGKIYq3W4PY8tRp7s7Mx1dW1iSWSSFoXjZ3HP10IcU7vCnJs5LEkLYB4lQpdgoKwMjm5SoXObLUaD5w/j8dcXdGlTRsLSiiRXPs0ZnB3NYD5AKj/uxTAM4Yazp07t+K9v78//P39G1EsiSXZmZWF0Y6OWJ2cjPPFxfi6d2/EqVQYHxqKic7O+LxnT0uLKJE0SwICAhAQEGCWvsyWzimE8Aawh+TAeu6T6ZytiNEhIXjDwwP+nTtj6oULyFGrEVNaivk+Pni+e3dLiyeRtBiaZTqnEKIbycuFViYBOF9Xe8m1T1Z5OYILCzHG0RHtra2xc+BALEpIwPV2drjLycnS4kkkrQazKH4hxBYA/gCchRBJAOYA8BdCDIXi6okD8KI5xpK0XPZkZ+MuvdIHAGsh8IER5RskEol5MYviJ/mYgc1rzNG35NphR1YWHpGrZkkkFkdW55Q0CcVaLQ7m5WF8ly6WFkUiafVIxS9pEvbn5OBGe3s4ylRNicTiSMUvaRJ2ZmVhkrOzpcWQSCSQil/SBKh1OuzNzsYDUvFLJM0Cqfgljc6OrCz0bt8e7rLCpkTSLJBlmSWNQrlOh18yM7EiORlJZWVY3bevpUWSSCR6pOKXmJ18jQYjg4PRrW1bvOPpifu7dIGNlXy4lEiaC/LX2MKJLCnBHSEhUNVS8bKpIYlnIyLg37kz/h06FJNcXKTSl0iaGfIX2YLJLC/HvefO4XxxMf7Jy7O0OACAr5OTEatS4YtevSwtikQiqQXp6mmhqLRapYxx167o0qYNdmZlWXxy1LH8fCyIj8exYcNgqy/LIJFImh/S4m+B6Eg8HREBL1tbzPPxwURnZ+zOyoLWglVOc9Vq/C88HN/364ee7dtbTA6JRHJ1pOJvgcyNi0NiWRnW9usHKyHg0749urVti6P5+RaT6dOEBNzt5CRz9SWSFoBU/C2M7RkZWJ+Whh0DB1Zxp0x0dsaOrCyLyJSgUuHH1FTM8/a2yPgSiaR+SMXfgggpLMQr0dHYOXAgurZtW2XfJBcX7MzKgiUWtZkTF4eXu3dHNzlBSyJpEUjF30LIKC/HxPPnsbJPH1xnZ1dj/+COHaEDEFpc3KRyhRYV4Y/sbLzTo0eTjiuRSBqOWRS/fjH1DCHE+UrbnIQQB4QQ0fq/crH1BpKv0WDi+fN43NUVk7t2NdhGCIFJzs7Y2cjuHl21J4pZsbH4oEcPONjIBDGJpKVgLot/HYCx1ba9D+Afkn0A/KP/LKknWeXluDMkBMM6dcI8H5862za2nz+2tBQuhw9jwIkTeCEyEgvi43G+uBgvu7s32pgSicT8mEXxkzwEIKfa5gcArNe/Xw9gojnGak2klpXh9pAQjHFywvI+fWAl6l5X+WYHBySXleFkQQGyystRrNXWsNCroyOxKjkZt545g0KNptZ2JPFKdDTe9PTElgEDMLBjR5wtKsLXvXujnZyZK5G0KIS5goFCCG8Ae0gO1H/OI9m50v5ckjXcPUIIWiIg2VxRabUILirC0YICrEpOxnPdutVrXdr5cXH4LjUVpVotSnQ6EEC/9u3h17Ej/Dp2xPV2drjR3h72NjaILinBc5GRKCfh2qYNetja4us+fQz2uzU9HZ8mJOD08OFoIxW9RGJxhBAgWbc1WNuxUvE3LXuzs7EiORk32dvjDkdHDO/UCeeKi/FXTg725+YiuLAQ/Tt0wEh7e4xzcsJ9JubFF2u1uFBcjLCSEpwvLsbxggIEFxbCp317pJaV4f+8vTHd3R35Gg0GnjyJ7X5+uNnBoUofOWo1/E6exM6BA3Gjvb1J8kgkEhByxBgAACAASURBVPNgiuJvzIhcuhCiG8lUIUQ3ABm1NZw7d27Fe39/f/j7+zeiWJbjWH4+no6IwGc+PrhQUoLXoqNxrqgI/Tt0wD1OTvjQywu3ODigoxnLHXS0tsYIe3uMqKSwy3U6nC0qglvbtvC0tQUAOLVpg69798ZzkZE4M3x4lTkC7126hIecnaXSl0gsSEBAAAICAszSV2Na/IsBZJP8XAjxPgAnku8aOK5VWPzRJSW4LSQEP/TrV6WmTrlOh7bNxHVCEg+FhcG3QwfM8/HBycJC/JaZic0ZGQi7/nrYy8wdiaTZYHFXjxBiCwB/AM4A0gHMAbATwDYAPQAkAHiEZPUAcKtQ/Bnl5bgpOBjv9uiBF7p3t7Q4dZJaVoYhp07BCkCXNm0wwdkZT7m6on/HjpYWTSKRVMLiit8UrnXFH1VSgofCwjDR2Rnzr5KO2Vw4X1SE9tbW6CWLrUkkzRap+Jsp2zMy8Ep0NOZ7e+PF7t0hrpKOKZFIJMbSXIO7rRYdibdiYrArKwt/Dh6M4QZKLEgkEomlkIq/EdiWkYGDubk4PXw4HNu0sbQ4EolEUgWp+M1MuU6H2bGx+L5fP6n0JRJJs6R55BFeQ3ybkoK+HTrgDkdZk04ikTRPpMVvRgo0GiyIj8dfQ4ZYWhSJRCKpFWnxm8LGjUBBQcXHxYmJuMfJCYM7dbKgUBKJRFI3rTed85tvgHPnADs75XXzzcDo0cYfHxoKDB4MrFwJvPIKUsvKMPDkSQSPGAEvfRkEiUQiaSxkHn99KSkBuncHPv4YUKmA/HxgwwbgjTeAN98EjMm3nzxZOS4vDzh+HK9HR8NaCCzr3bvx5ZdIJK0eqfjryy+/AN9+Cxw4cGVbYiJw//3ADTcoVnxdGTlhYcAddwBRUcCAAcj6+2/0yclB2PXXo7tcd1YikTQBpij+1unj37oVePTRqts8PYHAQCA1FRgzBvjjD6CszPDxn3yiPBk4OABTp2LFkSN42MVFKn2JRNIiaH0Wf0GBouRjYwEnp5r7tVrF/791K3D+PHDvvcCLLwK33absj4hQ3sfEAHZ2KA4Nhc+lSwi64w70lTN0JRJJEyEt/vqwe7eiuA0pfQCwtgZefVWx/sPDgZtuAp5+Ghg7Fjh9WrH2X39dCQgD+MHREbfGx6PvsWNN9x0kEonEBFqfxX/ffcBjjwFTpxp/THk5sGaNovRVKuVpwd4eap0OvY4fxy/nz+OG//5T0jslEomkCZDBXWPJyQF8fICkpAqLvV6UlADJyYB+XdoNaWlYl5aGf93dlW0JCYBcpUoikTQB0tVjLL/9Btx9d8OUPgB06FCh9PM1GsyPj8f7PXoALi7A7bcrTwXVycoCnnlGecJYvhw4eRJQq034EhKJRGIaja74hRBxQohQIUSIEOJUY49XJ4ayeQyg1ulQpNEgT61GVnk5dNWeSDQ6HSaHhWGskxPuvhwrmDNHUewPPaRY/gCwbx8wZAjg6AjcdZcy6evpp5WbzzW6BoFEImn+NLqrRwgRB2AEyaxa9pvm6omJURT67Nl1t7t0CRg+HEhJAepYWSpbrUb/EydQotXCRj+Ra0CHDljTvz/89MsPTo+KwsXSUuwZNAg2ldfLLS0FFi0Cvv4aGDVKyQpatw6ovHi8Vgv07688HVzOFJJIJJJ60qx9/I2u+D/7DJg1S7GmBw6ssutEQQGSysowsUsXWI0ZA9xzD/BujfXeq/BpfDyiS0uxtn9/AMqiKt+npuLD2FjMcHeHnbU1vk9NxZFhw+BQ2+LjsbHAr78Czz+v5PpX5/vvFbfTvn0N+soSiUTS3BV/LIBcAATwLcnvqu03TfHffbeSaePuDmzZUrG5VKuF38mTaGdlhQ45Ofh040bcvXYtRB0zcst1OvgcO4Y/Bg/GkGqF1hJVKrwUFYUThYU4PmwYepqyHm1ZGdCzJ7BnD3DddQ3vRyKRtEqoJaxsrJp1cPdmksMAjAPwqhDCfP6N8nLg2DFg0ybgn3+ACxcqdi1MSMBwOzuEubnhg5Ur8fqLL2JseDiKNJpau/slMxP9OnSoofQBwNPWFnsGDULcyJGmKX0AaNdOmfn7+eem9SORSFodeYfycGq4aeHSJk3nFELMBVBEckmlbZwzZ05FG39/f/hX9onXxeHDwIwZysSqTz9VJlxt3IhLpaW4/vRpnBk+HD0efhgYORKa2bPxcnQ0LpWWYu+gQbC1tq7SFUncEByM//PywgRnZzN826tQWKhY/UeOVGQKSSQSyWWoJXIP5kLYCNjY2yAwOBB7v9wLVaIKTmOcsOTXJc3T1SOE6AjAimSh/v0BAPNI/lmpTcNdPZ98AuTmAkuXKqUYevUCDh/GhLIyjGzfHrM2bFBm6p48CbRpAy2JqeHhUOl02O7nhzaVArNH8vPx5IULiLzxRlgbU53THMyZowSbv/++acaTSCQthsRliUhekYx2nu2gLdRCW6xF1/91RY/3esC6o3Xz9fELIXoC2KH/aANgM8kF1do0XPHfdRcwc6YyGxcA5s/H3uJivDF6NEJfeAHthg8HlixRLGs95TodJp0/D0cbG/zYvz/a6pX/5LAw3OrggNc8PBomS0PIzlas/fPnlTLREolEAqAkugTBo4Ix7NgwdOjdwWCbZqv4jRLACMWfXFaGBfHx+LJ37wpFjbIywNlZmYWrz5yJTU+H/6FD+DYgAGOnTQNGjDDYX6lWi8nh4QjIy8MNdnYYaW+Pb1JSEDdyJOxqy9RpLGbMUCaGSX+/RCIBQB0RMjoEzpOc4TnTs9Z217TiTykrg39ICEq0Wsz28sLL7u7KjkOHgLfeUtw4AM4VFeHec+fwfrdumO7jY9TYeWo1DhcU4L+8PPRt3x7PWcLqjo0Frr9e+Sure0okrZ6kFUnI2JyB6wKvg7CuXa9fs4o/Ta/0n3JzwxhHR0w8fx7RN96I9tbWwLx5QFERsGgRAvPy8FBYGL7u3RuPuro28TcwA//7HzBypLICmEQiabWUxpbi9PWncV3QdejYv2Odba/JWj0Z5eW44+xZPO7qig+8vDDC3h432NtjVUqK0uDgQWD0aBzIycGDYWHYOGBAy1T6APDOO8CXX8oaPhJJKyfm7Rh4vul5VaVvKs1W8c+6dAljHB3xobd3xbb5Pj5YlJCAwuJi4ORJBA4ZgikXLmCHn9+VmjktkREjlKqh27eb3ldIiLKKmEQiaVEUhhSi4EgBPGY2foJJs1T8SSoVfsvKwkeVlD4A+HXsiDGOjvjyxAmcuucePBQbi80DBuCWzp0tI6g5eecdJQPJFNcbCUyZoriOdDrzySaRSBqd+I/j4fmuJ6w7WF+9sYk0S8W/NCkJT7u5oYuB8gpzvb3xlVqN+154Ad/364cxLdnSr8y4cUrpCVPq9xw7Bmg0yg1g+fLa2yUnK7WEIiIaPpZEIjEbhWcKUXC8AN1fapoEk2an+LPKy7E+LQ1v1pJP37tDB7z1119Y3q4dHmiKGbZNhZUV8NVXwFNPATt3NqyPNWuU2v9r1wLz5wNRUVf2paUB06Yp6w0PHQosXgy8/LJ5ZJe0eFIKU1BQVmBpMVotcXPjlIlZ7Rvf2geaieKPLS2teL88ORkPOjvDw9bWcOPwcHywdSseufXWJpKuCRkzRrH4p09XFDOpzFf4808l42fdOqC42PCxRUWKFf/UU0Dv3sBHHymKXqtVitcNGaIUsgsIADIylDWFo6OVmICk1XIx5yKe2fUM/Fb5wXelL36P/N3SIrU6Ck8XovBUIbq90K3JxmwWin9kcDAO5OSgUKPBqpQUvNejR+2NN29WFlOxbpo7Y5MzYgRw9KhSeG7UKMDVVbHeHR2BX35RLPYXX6zpptm2Dbj1VqCb/p9n+nTAxkax7j/5BNi7V/nbqxcgBNCmjdLmyy+b/jtKLI5Gp8Fzu5/DqDWj4OXghUszLmHTg5vwxv438PhvjyO7JNvSIrYKNAUaxLwXgx4fNJ21D0ApTmbJFwAG5ObS7fBh+p85w8nnz7NWdDrSx4c8fbr2NtcKhYXktm1kWlrV7UlJ5Lx5pKsrWflc3XQTuXNn1bZxceTChWRpqeExsrNJR0cyNdW8skuaPZ8FfsbR60YzrzSvyvaisiLO3DeTPb/qyeySbAtJd+2jLlQz7rM4BrkEMfyJcGpKNfXuQ1HfDdO7zWYCV6JKhVeio/Gpjw8GGSiLDEAJXk6bplThbKpCas2VTZuA999XZjCXlQGjRytLPtax3oBBXnlFKX0xb17jyClpdoRnhuO2tbfh1Aun4N3Z22CbN/e/icjsSPz+2O+wEpZxDGQWZyK9OB0Duw68euMWRHFYMULuCIHjHY7w+sgLHQc0LGf/mpjA5Wlri98HDapd6QOKm2fKFKn0AWXx9vfeU+ICn38OPPlk/ZU+ALz+OvDtt0pGkSF271bWCc7MNElcSfNAo9Ng2q5p+OSOT2pV+gCw8K6FKCgrwIJDC2ptYw7CM8Pxv1/+Z3DfosOL8MDWB6DWXlsTG9M3p8Ntmht8t/g2WOmbSrNR/FdFowF+/hl47DFLS9J8mD4deOIJYP16JZunIfTrp8QVNm2que/cOeDZZ5UbyuDBwI4dNdsYg1arLJpjYS5nurZmlh1dhk5tO+HF4S/W2a6NdRtse3gbvjn9DfZf3N9o8swNmIttYdsQlR1VY9+e6D0giQ1nNzTa+JYg588cdBnfxbJCNNRHZK6XIoIR/PkneeONxjvAWgs6HXn2rGl9HDhA9uxJhoVd2ZaZqcRTNm1SPgcFkb17k489psRYdDrj+i4pIe+5h+zThwwNNU1OI/j1V/Lxx8n09KrbT50ie/Ui/+//zDjY2bPklCnk+++T339Pnjhhxs7NT0hqCJ0XOTM2N9boY/6L+4+ui115KvmU2eUJTQ+l62JXPv7b41wUtKjKvujsaHZb0o2B8YH0+sKLZZoys49vCcrSynjI4RC15VqT+4IJPv5mYfGXqEuu3uiym0dSFSEUa9wU7rxTqXR6++3Ahx8qq4NNngw88siVc37zzUrqZ79+wMMPA76+SrZRRkaN7i5eBH74AQg5UgJOmAB06QLMmqXEISqti2wQE2YcZ2YqUxPatlVOybZtV+ayjRunrHa5ahUQE9PgIary7rtKfKRTJ2U1uLvvrjp3wkQS8xON+20YwbGkY7hn4z1Yde+qOl081bnN6zasvHclxm4ai+XHl1821szCvP/m4a1Rb2HqoKnYGVl17sqeqD0Y32c8bulxC/o798faM2tNHq+ovAhfHfsKperSqzduJHL+yoHjnY6wamNh1dvQO4a5XgD44u8vkvHxzPtsFzVJmTVvbcePk507y+yTxiY5mXzkEdLOjhw7ltTUkmmg05FHjpDPP0+6u5OHD7OwkJw5U3ko6NaNfOrhIh5uN5q7Oz/BZYs1zMkhGRKimN0zZpBqdc1+P/yQHDqUVKkaJP5jj5FvvaW8P3qU7NeP7NuXHD6cvHhR2f7ZZ+T99zeo+6qcOEF6eFSV9dlnyS+/NLlrnU7Hb099yw4LOnDS1knUGft0VQt/Rv9J50XO3Bu1t8F9RGdHc9i3wzhp6yTmlOQYblSLnFqdlkuPLGVSflLFtsvWflFZEVVqFTt/3pmphVd+33euv5M7LyhZascSj9FzmSdV6ivnuiHnZNrOaezxRQ8OWjWI4Rnh9T7eHIRNCWPy98lm6QsmWPxNodjHAogEcBHA+wb2M6WzNfMdvfmf1V+M7/S84l7Q6UitllyyhHRxIX/7zaSTVHCmgMG3Bpv8I2oVBAaS+fnGtd2zh+zalQcfXsE7RusY+ncadStXkUOGUPf0NB78W8OJE8kHHtC3z80lx4whJ0wgi4uv9LNoEdm/v3LD+eCDOocsLVX+RSpnqe7Zo3irKndZUqK4firrZpVK8Tr99XOOki6bkmLc96zOxInk119X3fbLL4pbywRySnL40M8PccjqIQxJDeHwb4dz2ZFl9e6nuLyYwSnB/OLoF3RZ5MLA+ECT5CJJlVrF6Xuns9dXvXgu7VzVnTqdcu1+/rnGcatOrKLnMk+6LnblrohdJMnJ2ydXce88+suj/O7UdyTJfFU+7T61Y1FZUcX+8ZvGc8XxFQxJDeFrf7xGp4VOHL9pPDOLDRiKBtgaupV9vu7DwrJCfn/6ezovcua6M+vqewqMRluuZc6/VW+QOo2OQc5BLE2oJb26njRbxQ/AGkAMgJ4A2gI4C8C3WhuGBP7Ct295i8fuOsYgp4PUDBpB3nUXOX48ecMN5KVLJp0gnU7HM/5neND6IAtOF9Tr2KgoMiPDpOGveXTRFxlhO5hFXr6kg4Nieu/Yody4qUxJcHQkExP1B5SVkVOnkqNGkVlZ5Hffkd7eSoPUVLJr1zr95V99RXbpohyyZQuZl0d6epJ//22cvAc2ZzCs3VBqR96kCDZkiOKnDw42LnZx7hzp5qbcWSqTl0d26lT17lMPClQF9PnSh6/ve52lakU5XMq5RJdFLjyccNioPs6mnWXf5X1p+4ktB64ayMnbJ/NsmokxoGr8dPYnOi9y5rbz265s/OMP5doPHVrlHF7KucQuC7swPCOcQfFB9PrCi1N+nVJh7V9ma+hWjts4jiS57fy2iveXOZV8ijbzbOi5zJMf/fsRo7Ki+M5f79BzmSeD4oPqlDc2N5Yui1yqxClC00PZ5+s+3Hh2oymnwiCqFBWDbwlmgE0Asw9cmQuRfzyfx/2Om22c5qz4RwHYX+nzBwA+qNaGqlQVD9gd4D1L7+HZB84ycVk8+cUX5McfK0rCRDJ2ZPC433FGz4zmpY/qdxMZNYq87z6TRaiVmBjj46TmQKslw8PJH34gf/xRmeNlKkePkgN7FlN34O+aylDPyy+Tc+dWE+Sdd8gePcju3cno6Cv7tmwhfX0NTjwrLVWanz5NHjxIDhum3ASeecZIYVNSyAEDuKXPh/x0gU5xOR0+rDxleHsr4372Wd13+0cfVZ5QDHH77eTehrlUVp9czUlbJ9XYvitiFz2XeV7Vus0szqTPlz5ce2Yt1VoDrjQzcjrlNL2+8OK7f73LsvJS8rrryO3blae2gwdJKi4e/3X+VSz73NJcPvHbE/zm5DdV+rts5eer8vnkjie58sTKGmNGZEZQo63qftwdsZtdF3flu3+9y38u/cMCVVXDTq1Vc9QPo7j48OIa/f0X9x99vvQxa+A4NzCXh7sfZuzHsczcmcljfY9Rq1IMoNiPYxn9VvRVejCe5qz4HwbwQ6XPTwBYUa0No9+MZuRrkXxk2yO8+637+Id9AO+4VcsHHzT8+9t0bhP/jP7TqJOjVWl5tNdRZu/PZu6hXJ4cetKo40gyMlKZINu7N7l/f91tjycdv6rlUZ3ERNLGRtEzjY1aTT71FOnkpCTrTJ1K/u9/ihetVy9y1qyG34CmTatdD14mJEQJB9Rw7f/0U9UZyKQiyIMPku+9V6Of5cur+ui1WnL3biM9U/HxysVcsIAxMUosYs2aSvu1WsXN9cQT5ODBhi33iAjlpBXU8uT4+efk9OlGCFMVnU7HwasH80DMAYP73/nrHfqu9OX8/+bzVPIpanVVs0LKNeUcvW403ztQ85w1FhlFGRy/aTzffs6LxUN8leu2enWFX2/F8RUc+cPIGsq6NsZuHMvN5zbTeZEz4/PijZYjPi+eb+1/izetuYkdFnSg30o/Dvt2GP1W+tFzmSfv/unuGufrMnf/dDdXn1xt9Fi1UZZRxpj3YxjUNYhZf2RVbD933znGfaZYV6dHna7yBGAqzVnxP2JA8S+v1obTbKfxnemz2a37R7Qb9i4X9V7KeVO/5dvvldHDgwwIuPJl81X5dFroRPel7vzg7w+qWDY6rY6p61NZdP7KI2TCkgSeHa886mrVWsXHFm+cj23WLPKNN5RKCH5+huORJLkveh+dFjrR6wuvikd0Y3j/fcV49PQ06Bo1K/Pnk3fcocRvK6PVKlmJAwYofvL6kpenPOFXT580xMiR5K5dRnacnq6Y9g8+qPhwdDqqVEo89VRDMwvHjVNOhJ7ISOWBY1l1F7pORz75pHJ3rHw3VKmou+8+pWRGbZw9qwQb6nkXDYoPYt/lfWtVUFqdln9G/8mZ+2ay/4r+7Lq4K1/Z8wqD4oOo0+k4448ZHLdxnNFK1lzoysuZ5+3Gh59z4Ef/fsR/z+9hqaMdv9nyNrss7MKIzAij+/rm5Dfs83UfDl49uMHylGnKGJwSzBNJJ3gu7RwjsyLrtOhPJp+k+1J3lpQbflK9GqpUFaPfjGagYyAjX4qs4b8viSlhYJdAFpwp4CG7QxXWf0M4ePAg58yZU/FqzorfKFdP5PQoTpxIPvec8nuJ+iuKO5x38NEtj3LfPsWd+vbbirU3fsFiDpr7GH/ek84xG+7mLT/ewsT8ROp0OkbNiOJxv+M87HaYIXeHMH17OgO7BLLowpUbQfhT4Yz+IprjN42v86lBq1UUckiIItPo0eSqVTXbbQ/bzq6Lu/JIwhFO2DKBS48sNeoiFhWRzs5KtklIiGJEHjli1KH15sQJxW1e4WM3wK5d5MCBtSfy1MbKlUoikDGsW6foXqMpKFBO+sCBZN++3PH6QY4fX7NZWmHa1RVeQoLiz6/mioqPVzJ/PvywmhFfUqL4qy8HcNPSmNX/Ju5t/yAXza3Dh6/TKY82kZHGfUc9U36dwi+OfmF0+4vZF/nJf59wwIoB7L60O/su78vc0tx6jWkW1qwh/f2ZlJfIydsn03+dP3dOGsBDE68z+qn8MikFKcRccNbfsxpJWMNM2jqJSw4vqfdx5TnlPOx+mFEzoliaWLvBFzs3loe7Hea5+87V2qYhNGfFbwPgEgCfSsFdv2pt+MlMFW++uao7/7T/aU59bCr/jvmbyclKBuBLr5ax00fufPqDYA4aRPbtp+V9CxfQ4bPOXPHICgYODGR5bjm1Ki1T1qbw5NCTvPj2xSonK35rPL/z/Y73brqX7kvday1E9fffyu/+MiEhivLM1f+2isuLufz4cnZb0o1nUs+QJMMywuiyyMWoH2ClJ2KSilvYzU1xKWWbsTZWUZGi2LZtq7udTkfecovi9zcWnU6Jix4w7J2oQUmJ4o+PjTV+jMsDla/bxCib/jxxtKqCT8xPpNNCJ07ePpnlmvLa+5g/n3zpJYO70tLIO+8k27dXbvb33EO++y7556oYapy7Mu/z1czo0INfO83htq1aengo2UK1Us+0zvSidHb+vHPtaZJ1oNPpeDbtLNMK067e2NwUFiqPTNUtlsRE5Sabl2f4uDp44rcnamYMNTLn08+z6+KuzFcZmcmmJ+KFCEa+fPUbvKZUw6M9jzJpZdJV29aHZqv4FdlwL4AofXbPbAP72aNHzSKU2fuz+Xe/vzlg+YCKH/TaM2s5ZsMYkorSOXRIyap7x/s893jtYe85vXnPT/cwLjfO4IkqLCvkHavu4F/t/2JZbhlf++M1Tvl1isG2TzyhxJcr8+zzGt704hbe9d3DdPjMgXeuv5Pn0yIYEEC++abye79l0bN8dvP7dVrOWm2VGFgFP/2kBJM7dVJcGtOmmR7bfuklxWthDEeOKOPWEp8lqSTdpKUpN5Rjx5R4gbba02tOSQ5f3/e6wRmiz8/MYK+PxvHBnx/k6/te55LDS7j65OqK15EEw489ixfpeN7xZuUk6dFoNfRf588P//mQ9266lw/9/JBh5a/VKu6Xq8ys1WiUYPvu3Upewbhx5COd/mAe7Ll50raK83LqlPK0FhxcS0f1TOv8LPAzPrPT2Oh0M0GrJSdNUh7TDfHYY0oqdgvh8d8e56Stk7ji+Ar+Fv4bjycdZ1J+Uq1B8txDuTzsfpjqPOOC6OVZ5dRpzJfFkVOS07wV/1UFAAxWWdZpdTzW7xifm/0clx5ZSq1OS9+VvjWCX0nfJnOr9VGGBqioUqu4MGghuy3pxqOJR6u0S8xP5O1rb+ezu57l2XvPMv3ndBaXF7PP133423+/Mf/Ylbt9QYHit046q2LYY2HM+FWJML+95yN2mTWUbuPW0M41k7ffrgRLhw1TFMXKleRD0xJp9YETHb2S+NVXZLkBPfTHH4qlXJsbWKtVFND99yvKv6FB119+URJV6mN4PfigEp+8TH6+oghfeUUJAjs5KU8+HToo/z3VU9mPJR6j95fevOH7Gzh249ga8yYmrnuatpOf4bI/t3HpkaWcuW8mX/z9Rb74+4t8YfcL7LKwC6Oyoqoc89NPivckacM/SnBWH2xZcGgBb197OzVaDVVqFe/ffD8nbp1Y06d78CA5aFCDTqROR+bn1LyLb9umGLsG5xTWI61To9XQ+0vvRimJ0KjMmUPefHPtk+1On1ZiNEVFhvc3M9KL0jn/v/l86feXOGHLBA7/dji7LenGNvPa0HWxK5cfX17RVqvS8nj/48z4zTJ53pFZkey7vG/LV/y1kbg8kUfvP8ouC7vwu1Pf8bpvrquiSHIDchnkEsS5zxZXmfOzJ3IPXRa5cGvoViblJ3H63ul0WujE2f/MplanZfI3yQybotSlCVwTyB12OxjkGcTg24OZ+18uf1yj4wdDUhjkHMTQh0J5cvhJHk44TNfFrkwpUCb8ZGSQ+/YZ9pu/d+A9PrjuWY4Zo1j2e/dW1Tl33634u69GYaGSJbdgwZVtKhW5eLHiJnrhBfKjj5S+qgeeQ0IUq7S+SxdERCjHzZihjN2xoxIUXrRIiVtW/h6VLX2dTselR5bSZZELfwv/jeWacg5aNYhbQ7dWtAmIDaDHMg+u/rGALi5K+aXqfH3sa974/Y0Vlta2bYoLrKKMkL8/+eOPPJZ4jF0Xd2VCXkLFsWWaMk7c8gB7fdmT/9v+P87/bz53Rexi8aMP1Xx8MwPz5yvuIS8vZXbwuHFKVuiuXWTZyNuUO+ZV2Bu1l9d/d73ZZWtUtm+nwcf06jz6aN2BcBNoqomYGq2GYRlhdFvi0zzjKQAAIABJREFUxr8u/kWSvDTnEkMnNn7dKUMciDnArou78vvT31+7il9doGagYyDnbJpDMVdwS+iWin0lMSUMcg1i9l/ZDA1VXBSV3Stn086yxxc96Pi5I9/a/xbTi66knaiSVQx0DGTUjCge8TrCT7/4lOPWj2PSmiQe9TnKHe2O8ECvUyw8W0idRsfDPQ5z9JujuePCjiryxX0WxwvPXGDkS5GMej2K2fsV53xuaS7dl7pzT+Re/v67UjrA3l6JGUycqCgyY6sSJCUpfuetWxU90ru3Mq9g+3YlTjBnDnnrrUrw+XJmTUaGYulv3Vpn17XyzTeK1X/4sHFy6nQ6vvHnGxz27bAq7p0jCUfYbUk35pTksExTxgErBvDXcMU5fuiQkiq7fHnVvrQ6Le9cfyc/+e8T7tqltAkJIc+lneN3p77jz6umM6ebI/ss9a7oi6QSJZ8zh7qePVna24e7di5UbsDf3ck8W8FB87rxwZ8f5IXMCw07KbWQn6/MLzxxQlH4H32keHme6Pgrc2zdqDpUbcJOeDh5223kGSUu9OgvjxqXTpiYqOT9WrJsiU6nWDsuLnX4uSoRE6MEdYxJ+aonYY+F8YjHEYY9GsakFUksiWlYVo6xBMQGsOvirgz7I0zJDDQQzL2Uc4nn0+tYSMpE1gSvoetiVwbEBpDktav4STLqtSheeO8C3/zzzQorUJ2v5nHf40xcfsXcvu66mjM380rzap30cvqm0wx9KJTlOeUs15Rz7MaxfGbnM9y/V8MxXXNZWnTFnF3y+BL+cOcPVY7P+TuHR32OMuWHFCatTGL8ongGuQRVKP+g+CB2XdyVMTkxJJWA7cmTijI+dKjOr1yDkBDlxtG/v/K7q45GQ86erdz8/vtP0StXqXrQYGJyYmqkHH7070ccsnqIweDky3te5ou/v8hPD33K8ZvGV7HUYmKU71Qll55kQl4Cu3zuQvt+p7nnUCKf2vEUXRe78pmdz3DmvpmMHu7DU+88rjwyvP8+ef31ijKaMUNxwK9Zozy27NhBfvMNdQ8/zIvZF/nq3lf53K5afNJmprSUXHjLbubYODNvq/6i/fSTIte995JTprCorIgOnzkYV3bgqaeU79m5s/I+JKTxhNfplLkVly4pbqviYmXG3+DBSt6voX/C2pgxo+a8hvBwxaJpIJcrXBacKWDK2hReeOYCg1yCWBRuHrdSSWwJ4z6NY0ls1ZvJ2q/Wcnen3UzeW7PWztm0s3Rb4saeX/WsV0q3seSr8un4uWMVw+WaVvzFEcUM6hpUsTRZaXwpT990mhEvRlRRIl98YXwQk1RqaVQ+vrCskMNWX0/7SbMrXBAqtYpfHv2SwxYM4yGHQyzPURz2Oo2OJ4acYPr2qpZMbmAug5yDmHdYcap/fexrDlk9hMXlDZvCX5mEBMPxgsrs2qXEJu6/v2bA1RxEZEbQZp4NB64ayE3nNlGtVXPx4cXst7xflSeqyuSV5tF9qTsdP3fkpZyas6aPHjUcUB77zkZ2/Kg7nRY6cdbfs6pmXBw7pgQZbrtNMbH//bfmyTl+XOnYyUkJqlCZuu+8yLnu7B8TqJ5SqtWSq584zEzrriz0H6+kV509q6SGOTpy19+rOHbj2CsHJCUpqVXVXSiRkcoNIzdXKXHx6aeK//yBB5TyEebmk0+UQE6PHkrBPisr5Wa1f3/94yQZGYrVHxWlXKO5c5X4x4031j93WE/8onhemFb1yS11XSqP9jzKsgzjsyEyfslg8jfJLAguoLZcS1WyipGvRDLQKZDhj4cz0CmQlz66RE2xhunb0xnU9f/bO/O4qKv9/7+OK2qKIiDiEuK+r6Xt2O3acm96MzNbLfu1aPUtvektu7e0RVOzLNObaVZqWWqZ2y2XklXZUVkUBBEE2fcdZj6v3x8HkZEZGJhhQDjPx2MeD+bzOZ8z53OYeX/Oea++XPzRYt67/V6DNBgBSQF0XuPMnyJ+4oydM7jCe0WD7qs21ges5yO7DP2mW7TgJ8lT004x5bsUpv2URl8nX15ccbGGhTw1VQq9goI6uzPJvFfS2e3twVzuuZwLf19Ix9WOvGfbPTydepqRcyJ5aZ3cYVz++jJDbgsxqmfM/F8mfZ19pZpI0/j4z4/zqV+esplOMjXVdIldS3n858f5gdcH/O38b7xj6x3s+0lfuq1z46W8WgIEKPWS209vN3l+xgxDB5BLl8geDho/8/zWdN/mzGdqqnTQryZgbvrqJpPRsZaQV5pHp9VORlMN7F4eyQ03LGF2QrVAgVdf5e5/DDFMFPbYY9KCPn264f09/rgUxtUpLibXrpUC+rHH5MrnqadkyomhQxv+5D9xombQh6WriA8/lP6y48ZJQ0hionxoNyCTqaZp9B/iX7W4qk7c0jiG3BZiVv1afbkM5ox8IpIBIwLo1cWLPj18GPtGbNXDoySxhBGPRtDP1Y9+vf1YcKqAJRUlfN/rfbqudaXHtx5VSfAORB8gKeMrHFY5GGQitRRN0zh0/VB6XfQyON7iBX/GgQx6d/Wm/yB/5gWa9rX929/Ibdvq7M4oXl7ScyQs/gLv+uYuvnXsLcZmXY0ByPHKYcCwAFYUVNDP1c/AC+ha0n5Mk65e+RUsLCvkqI2juDtyd8MG1kyITI+k8xpng1woAUkBTM63PMVseLiUNVfSLsyfL9P4NAarfVfzhf0vWL3fjYEb6fGtB4esH8LFRxbXUIfNny/dfa+QHx7CjC6CuVmV2UG9vKQxJztbqlSuWP8jI2tPEZGfL3cA8+dLdUxoqAx4q68+kZRqHTc3GapuTYqKpCFq69arD7To6PoHdeh08nc4IsDoQkrTa4x4JIKRcyKZ453DHJ8c5vrmUldY80GQ9XsWgydf9aSqyKtgeZbxnWBeQB5LLhqupsp15dwZvpMP/vAgj8UZ6piXHlvKJ35+wvz7qoMjsUc4euPoGvfc4gW/pteY/GUyKwpq95n96SeZ1JOUi7yMDPMWK0VF0mhaWzoBTdMYMDKAp/56ipGPRZpuWEnk45GMXx5Pktx7di9v3nxznav+b8O+5Rq/Nc2y2tDs3bO5yndVo/X/1FPSUB0fL7UzGeZl2603V7JdWjOJmaZpHPvfsTwSe4SZRZm87evbOHv3bAMVX16elOt//CHffxv2LQMmupCbNkmXrDFjmLtlFx97jLywt9IlKzFRhkWvMpz30FAZN3LWlJ16+XKpW6/fTcjkTfPn1++6akRGmp/Nm6R8YN17r3m7t8hI0tmZUY+EMvGTRJPNdMU6Rj4eydDbQxlyawgDhgcwYnZNg+vZZ8/W2o8lFJQVsM/aPvXO3WWK6TunV6Wsrk6LF/zmUlIiFxE9epBt20pXxLqyNubmyvTw5tgHLq2/RM+OnjWe/sYojiumj4MPy9LLqNPrOPCzgbWm1vW+6E3nNc68f8f9HLJ+SL3D3Y1xOvU0F/2+iN4XvS1SNZ1JPVMjja61iYuTAv+hh6R2pjGZuGki/7jwh9X6C0gKoPtn7lWr/JKKEj75y5Ps9EEnTtg0gS8deIk/R/3M/fs1DhwoFxr37biPf275tzSWfv45talTef99GqdNkzL/9OwPpGqkVy+ysJCaJh8a06bJnekrr8h2u41tJKOipA3AXBWNpkm10ciRtUfvGUGvJw8ckElJ77HP5G29C/jnn4ZtiuOKGfNajEEOLZJS5z9uXN3bdE0j//IXljsNoLfdUZZlmL8wqsivoI+Dj4GhVl+qp08Pn1rTLFjK92e+54RNE0zmXjKX+Jx49lzV0+hvTwn+amRkSPuXTidXH87Opu1fCQlyV/zyy6YTsFVHV6KrVcVzLdEvSzdPUhp6Z+2aZbRdSkEK+6ztw//FSCPkgegDdP/MnXP3zjX7s67lbMZZ9v64N1/936scsWEEB6wbwHePv2tQxchcZv400+wcRJawYIG002TXP3NBvVjps5IvHTCevqEhzPt1Hlf61EyxWlReRL9EP647uY4jN4zk03uf5qzHirjgjQzar7RnYWmBVOt07syt/4zgLbdIWRgaSg5xr2Csy630f3I9n3xSugCPGCEdlq642AYHS83MP/9pxPA/cqSsk1wXsbFS/z5+fL3zC+XkyN/P+PHknrey6Ovkyz+7+3Jpl2gufrGcRfl6JqxJoE9PH5578Rx9HX2ZvCnZcBESHCxVWf7+JE345+/eTY4ezaT/+5MR3dbU28B8/p/neX7R1XTIGfszGHq7Ge6oFqBpGm/66ib+FGFZ9sUlR5Zw0e+LjJ5Tgr8WPvtMOiRcS3CwXBR98knj5cMvSy2rWm0UlBWw56qeNTxb8s/lc+bKmVz22zKD4yUVJXRb52Z2AY7qxGXHse8nfasMh5qmMeRyCKdtn8b5B+u3lQ9KDmLvj3tbxTOpLnJypJdPYxObFctea3pZJZNlbkku7Vfa15krp7CskI///DhHrB/DztP/xVHvzpEPuAMHmPDyKjo5GdZGyM0ln52r5+zZsk5NXJzxfjMz5Y51wYJrTixbRr72mukBlZXJYI2ePaVl3ZyVzzW8954sbF8YVUhfJ1/meOawPKucZ/5fDP/X0Zc7OwcydGoYi87L705hVCEDxwQy4pEIw1X7wYPUnJyZ+t4J+rn4Mem/1QyjhYVkv37UjnsycGwgs/pMlwEm9aDkYgl9HHxYkSfvMfKJSANX8MbicOxhDl0/tFa1YnJ+Msf+dyx7f9yb/T7pxwHrBnD8l+M5Y+cMvnLoFTqudjSwNVZHCf5aKC2V+WSq58Xx85OLjFoTbVmJC/+5wKinZH3PxUcWc+HvC6vOFcYU8kjnI/zF+Rd6dvSkr7MvI2ZFMPtYNjVN48bAjfz7D/WrApOUl8QB6wYY9S7JLcnloM8H8fsz35vVV15pHgd/Ptjs9tcT478cz+Pxxy3uZ0PgBpM7uWvRNI3rA9az/XvtefeCX+ngIEsOuLlZ9l3MzpY7WwPX/ogI6c5qTN1z5IgMoLj//gZXtysokL+hqJNlPDnwJC9vNSxhmX+6gC+PTefyZYarKl2JjjH/F0Nve29Gzolk1pEsFsUU8dS4owxs9y3TPvKnb69qOe2XLqU25wmeffYsQ+8MpfbRapnHpJ5EPBrBxE8TqSvW0ae7D0tTGlbXOShIPuzef1+mMa+tcqemabzzmzv5Tdg3Rs8XlhVywqYJXO65nMn5yUzITWBsViyDkoP4c9TPXHdyHbedMq0GU4K/Dn74QVZw1DS5+3Vyql8MiiVU5FXQ19mX+aH5TMxNpMMqB+aV5jEsJYzrJq/jm9PfZEZRBjW9xtKkUiZtSGLgqED6D/Fn4jeJdPnYxexshTklORy5YSQ/8vnIZJuwlDA6rnasM4JV0zQ+suuRRvGAaQ586P0hH939KGOzYqv0sMXlxfzt/G9c+PtCrvZdXae/f13FU0yRnC/VHfHx0pb6n/809C6u8t//Sg9Jg93r8OGGmTOTk8mHH5YroX37LNrqfvwxOXuWxtA7Qxm7xPiKNDlZPpAqtTgGlGeVM+mLJAaND6JXZy8mrE6gftcvpLMzcx9YQt9Oh1nw2mfUOzgxamYww6aGSe+cK37b9bIiS8+ck24nmbYrjWF3hzXklnnokLSrrFolvc7uuUeGOdQWxOx90Ztu69xqOGzo9DpO3zmdz/76bIPtb0rw14FeLxOpLVkihX5d1bSszeWtlxk4OpC6Eh3n7JnDyZsn86aFN/Foz6Msy6tpqNI0jTleOfTu6s3VR1fXyCBaoa+ooXop05Xx7u/u5iuHXqnzi7Q5ZDNHbhhZq7H2i4AvOO7LcY0ShdgcSM5P5oM/PMh+n/TjDStu4Jj/juENK27g7Vtv53ue7/H+Hfdz9MbRDEwyndHTN8GXAz8baLEBzxrodNJcYJB++513ZCUhUoa1u7hIy3k9DbgnThjmmyspkdXLAr/KZuDoQGp609+3n3+WHnO1xdfoy6rNX3AwuWULU2dv4omuhxg++TBP/fUUdUXV1HIzZ0pvKDNITr7q/RRyWwj9XP2YvKn+Lshbtkg7+7UZqF9/XTon1ca92+/lxkDDYh4Lf1/Iqd9OtciDTwl+Mzh6VCbUOnLEJh9ngKZpDJ8ZzvMLzzMyPZKLjyxm8P3BTPy0dney0DtDmbg3kT1X9azS813IvsAJmyawx0c9+MmJT1imK6OmaZy7dy6n75xult5a0zQ+t+852n1gR5ePXTh0/VDe9vVtXHBwAb8O/Zo/R/1Mp9VOPJ9lvfqgzZmckhwGJAUwt+RqUJCmadxxegd7renFJUeW1HiY6jU9p2yZwq9Dv762uybD01MG214R0nH7wpndtR8zF74vhb651eir8fvv8nczZoy0A5OyNs7f/kZGz4+uKitYG88+K911f/1V7hReeqlmSnJjJKxOYMSsiJoBWb/9Rk6aZNb4H3qItLOTxdROr0/n8bbH6+UVRMqkiO7uxm3fBw5cdSE3RVByEF3XuvJA9AG+cfgNTtg0gcO/GG5W/QVNk8HeS5dK4/6QITIk4uGHLRP8glL4NhlCCNpqDEVFQJcuNvmoGlRkVSBobBCGfTMMbbu0RdScKNwcczPa2rU1eU3i6kSUXizFtlnbkFmcib8P+Tvm7ZuHpXcsxbSB07Do8CLE58bjtn63ITw9HJ5zPdGlg3k3SBLFFcXIK8tDXmke0orSEJYShpCUEESkR2C5x3LMGDbDWrd/3ZJRlIFpO6bh+QnPY8FNC6qOf3fqO2wM3oiTz51EG9GmCUdoyOzZQIcOQFoaEH6GCCwaifwOPTEq/EegT5969RUXB9x6K7BnD3D6NPD++8BXXwGvvQb8sIPgwycw4cQEdBrYqdZ+CgqARx8F2rQBBg0CevSQ/URGAt27N+Am9XpgwABg/35g3DiTzRITgfHjgYgIYMsWYP064qlbCuDxYjfcfbeUBSRw6hSwd698v2QJIMTVPg4cAObPBwICjE9ffr48npEB2NmZHvLz+59HbE4sprpNxVS3qZjcdzI6tO1Q620mJwPTpkm5NXs2MGsW0K2b/N+mpQGPPipAUtTaiSka+sSw1gs2WvE3B7KOZtGvjx9DpoTw8pZarEKVFEYU8kT/E0wrSGO3ld3Y95O+BkEhmqbxYPRB/uPHfzCloAmzNrZwojOj6bjasarSWm5JLnt/3LtWNVBTkZAgs7fu2CEdG8qS0jlicDkPHZK5pC6urJnuxBgFBdJVc0M1HwE/P6nimTqVzP4zm0ETgho8zhdesChWTKaBeOqpWpu8+aahY1NWlly9T50q0wV5eMgd0qBBUmc/ZYqMrr6S4ePsWakarsvTbPJk83Yw9eXVV2UcninNLZqjqgfAMgDJAE5Vvh4w0c4ac3TdcH7RefoP9ae+om69sKZpPHHjCRZGFPKPC3+YTITWGkj5LqVBullrsf30dg5dP5QFZQVc+PtCPrfvubovaiYcPEje6i7TmAdPCubp+05XJRw0hqaRs2YZLwKUmSntq9EvmafmMUV2tnyImFtn+uRJqep46CGZyvucfw61nj1NeiUVF0uhHRNj9DTz8+W8RERcvceCAhnSMHu2jAcaOpTcvLnusb31lnUM9NVJSZGBqLVl4W7Ogv8NM9pZNEHXG5peM7tcGyn1qAmrEhpxRM2f8uxy+jr60s/Vjynbm25nM3fvXN67/V46rXZiemHTVF8yh2uNrRWFOv7YNYjbZyRSX6Hn+dfP03+Qf81I2ko2b5bOEKaS/ekr9PR18mVxrGU58HfulLuKurLOenlJIb5zp9zJzJsn019813cpU2caD8TbulV6q9aXkhKZNNDe3khshAmOHpXFyKzJG2/IFb9RsrPJTZuU4G/JZB7MZOidjRtl2NyJeyuOZ+edZWFkofTxPpTZJOMoKCvgiA0jjMZINAc0nca4N+PoZefFcy+cY3FsMTVNY+RjkTz5YBQde2pMS5OqjPC1KfTs4Vsj53xamhSyYbV4PGb/kc2giQ1X81SNVyPvu69m4tHqHD0qx3OtXVqnI79fl84c0YPzZyQbBL9pmowmPnSoYeMqLye/+cb8etdFRTI9jCWZgauTkSFX+zWq+x0/Lrc83bqRs2Y1a8F/EcAZAFsB9DDRzjqz1ULRFeno3dW71q15S6b0sqyWVpIgl5+5J3JlzQPfehQStiLWTO5mTcoyynjqnlMMuzuMhVGFvPDvC/Tp6cOQW0MYNCGIumIdX39d+qF37Chju1644SL3Djtt4LH01FMyAVxtnHvxHBM+ss4uND5elq6cM8ewNkt2ttTHOznVnmi0fMFrPHHLIjo4SH14aqq0RQwa1Dg1KUxx113Wiw16+21pAzHgSjWzr76SIe5k03n1CCGOAXAxcuptAP4AMgEQwPsAepOcZ6QPvvvuu1XvPTw84OHh0eAxtUTO/O0MXJ52gfOjzk09FJsT83IM2nRsg0GfDKo6lvVbFqLmRAEEOvbpiI79O2Lw+sHoPKRzE4606SgML0T4g+FwftQZAz4cgDbtpJeRLl+H1G2pcJzhCLt+dtDrgdhYoH9/oFMnICleg/fQYGjPDsCTm5zw55/AM88A4f46IKEI9rfY1/gsTafhpOtJTPCfgE7utXvzmEtxMbBiBfDll8DrrwMJCdKT6IEHgDffBEaPruXipCRgzBhk+MVgxVeO2LYNcHICXnpJ9mUr3nsPKCwEVq+u33UksG0b0LUrMHGi9NoZNAgIDpaOS1WN7rsPnjfeCE9X16prly9fDjZnrx4AbgAiTJyz/BHZwknakFSV9qE1URx7NcPptWiaxvKcchZGFDL2X7E8M70RKlFdB+hKdAwYFsDLX9ftJWaMyJ053NP2BLesr+CQIeS+zSUMHBVIr85eRksZZh3NsoqaxxgxMdLf/oMP6q7jbsDzz1eldE1IkIbWegb2WoyPDzlxYv2u0TSpyx8zRsZF9O4tYw7mzr2m4Y4d5NixNYwhaI5+/EKI3iRTKv9eCGAyyTlG2rGxxtBSKE0oRcikENyaeitE24Y94K9Hop6MQufBneH2rlut7fSlegQOC8TwHcPR/faGOIZfv8S/E4+i8CKM/GUkhGjYd8P/oXPY83s75E/uhWfOh6PfP/uhjV0bpH2fhvE+4yHayH51BTqETglF/yX94TLX2Ea/iYiPB266CQgNlduZJqC8HHB0lLuVHj3Mu2bFCmDnTsDLC3BwkMfSvc+hW3km7P5ymwwoyMwERo2SAQU33WRwvRDN0I8fwHYA4ZA6/v2Qqh614m8ggWMCmfFrI1UnaYbknsylX29ZxcwcUralMGSK8XKYV0hYlcDsY42c89mGFJwpoK+jL0uTG5Zw7Apl6WX0dvSld09fpv8ivZU0vcbQ20OrslheiT4/9/y5BueWaVSWL5eGzybk3nvJvXvNa7txo4wGNkjylpMjM/a5u8s8S+vWybKaJrKsojkad80egBL8ZpHjlUM/Fz+WJln2I78e0HQagyYGMWWb+a6bml5j4NjAKsF1LbpCaSQ/O6/25HSkVDEVnLaSi0Yjoek0Bk8OtlpsQ/bxbOaHGJZ3LDxbSF9HX5YklPDiBxcZcksI9aVNn5fIKCUl0qJ78GCTDeHTT2UyyEQjmVhKS6U6aOVKmSa+T59rUm1fqYC2YIH829NTCv0xY0y6CynB30qIfz+eoXeGmhX8dT2TvCmZobeH1ntlmflbpsnguMtfX2bA8ACedK874X/4w+H06eHDoujaaxBk/JrBqCejzIqEtTaX1l2SaYprSZBmDS5+cJEBIwPo18fP4p1Fo3P4sMw8WtT4tSOModPJgGJn56tpttPSZK48JydpA3j9dXLPHhlFbMA339S7ApoS/K0ETafx1D2neOE/Dcuhfj1Qnlku01iHmSguXguapjHs7jDDQh6VBE8OZsb+DPo6+Va5hpr6fG97byauTaT/IH+WZxp3oy3PLqdfbz8GjgrkhXds+/+oyJXlBIvONb6A05frGf5QOHNPNI37bL2ZPVv6QzYh/v7kwIEyJUT37tI189y5Wi6IiZF+tqZKBZpACf5WRFlqGf1c/VqUrro60fOjGf1y/UoAVic/LJ++Tr4svXx1dVpwqoAn+p6gvkLPiFkRtaqQLq2/xMjHIkmSsUti5Q7LiHrj7HNnGf1yNEtTSunXx48ZByy3vxTHFzNhVUKdq/jEjxOrxqi4huRk6e9+vmkzy+blyTKZdXonaZpM9vPFF/X+DEsEf/NJK6gwiw69OmDw+sG48PaFph6K1ckPzEfGLxkY8P6AuhuboOu4rnB90RUx82OuLCxwefNluDzngjbt2qC7R3fkeuaavD7tuzS4PCM9VtxXuqO9Y3uce/YcdIW6qjY5njnIOZwD9xXu6OjSESN3jUT0vGgUxxY3aMz6Ej0uLr+IkIkhSN6YjLTtaSbbahUakj5LQt9FfRv0WS0eV1dg0SLg7bebdBjdugHz5gG9etXR8NgxGQCwYEEdDa1LO5t+msIq9JzeE+dfPY+iyCJ0GdlEeaatTEVOBaIejcKQDUPQvkd7i/q68d83InhiMNJ/TIfjDEek/5COSacmAQC6e3THpU8uGb2uMKIQZSll6PEX6Y8n2ggM3z4c0S9EI3BYINw/dIfTI06IeTEGg78YjHbd5M/H/lZ7uL3rhojpEXB5xgUd+3WEXX87aKUais8Xo+R8CSoyKtDeuT06unZEB5cO0Eo1VGRVoCKzAhm7MnDDxBswKXQSyi6XIfKRSDjNckLbLjVTdmfsyYDdADt0m9TNojlq0bz2GjBkCBAUVMMFstnx6afyQdVAV9yG0qry8bckLiy9AK1Mw6C1g+pu3MwhiYgZEbBzt8PgdYOt0md+UD7CHwxHv4X9kOuTizEHx1R91oleJzAxeCLs+hsmUI9bHAfRXsB9hXuN/vL88xD7eixKL5TC/k57jNozqsY9pO1IQ9GZIpQmlqI0oRRtOrZBp8Gd0HlwZ7Tv1R4V6RUoTylHWUoZ2nZqi3Y926E2ieXJAAAOOklEQVR9z/bodks39PC46vwd9VgUOg3thAHLBtT4jJCbQuD2jhscpztaZZ5aLJs3Az/8APz5p82FqtmcPQtMnQpcvFh7Mn8TNEs/fnNfUDr+BlEUU0RfJ1/DsnXXKQmrExgyJcTq9xL7r1gex3Fm7DPUvxvT8+sr9PRz8avVYKppGjP2ZRiNJLYmJRdL6OPgw5JLhkboHK8c+g/xb3RPnhZBRYUsKN/QTG224IUXyGXLGnw5lI6/9dF5cGd0Ht4ZWQezmnooFpHrm4tLay9hxE8j0KaDdb+ObsvccOM7N8LhAQeD48b0/DmHc2DnZofOQ03n+xFCwHG6Izo41V45yVLsbrSD60uuiH873uD4pbWX0Hdh36pIWkUttGsHfPSRTPaj1zf1aGqSmQns2iXLezUBStVzHZO6LRXpP6VjzKExTT2UBqFVaAgaGYSBawfC8UHbqS6KIosQPj0cU+KmVB2LeCgCDvc5wPVF11qutB26Ah0ChwbC4X4HiLYC1BNZB7Iw5eIUtO1sulynohokcMcdwMCBwJ13AsOHAyNHAvY1k881Onq9VDm1qVzcfPCBVPFs2dLgLi1R9agV/3WM08NOyD+Zj7LkMqv2m/NnDsouW7dPY6R8lQK7AXY2FfoA0HlEZ+gL9ChNLAVJxC2OQ3FMMZwfaz7ZT9t1bYfRh0aj601d0XViV3Sb3A2jD45WQr8+CAHs2AEMGwZ4e8t0nUOGAFk23iWfOSNTbrq6SlefPXuADRtsmz70GtSK/zon+sVo2LnZ4ca3brRKf9QTJ/qcQPse7THOZxw6ODaOWkNXoEPA4ACM+X0Muo7r2iifURuRj0TC4QEH5HrloiS6BKMPjUZ7B8u8iRTXAS+9JHMgr1ljm887cEAK+88+AyZPBg4dki9HR+D77y3q2pIVvxL81zn5AfmIeiIKk6MnWyVzZ45nDuIWxaHHtB7I/TMXY/8Yi3Zdre/1G/9OPEovlmL4tuFW79sckjckI25xHLrf1R0j94w06jqpaIFcviyzXZ461fiZPD/+WLpr/vKLFPpWRql6WjFdb+6Kjn064vLmy1bpL2NXBpxmO8F9pTu6jOmCyJmR0Mo0q/R9hbLLZUjekGxRoJalOP7DEX0X9cWofaOU0G9NuLpKg+qyZdbp7/BhWUnmWoKCgHXrAH//RhH6lqJW/C2AwtOFOD3tNG6OuhntezZcXXFFzTPBbwI6DewETach6tEoaMUahm0fZjW1T/QL0Whn3w4D1wy0Sn8KRb3IywMGDwaOH5fG3ivo9dL4aq7fv5eX9MNftQpYvNjw3NNPy53FkiXWG/c1qBV/K+eGsTfA6REnxP8nvu7GtZDrnYuOfTqi00BZUq9NuzYYsXMEuozqguBxwcj5I6fBfVNPZB7MRPiD4cj6Xxb6L22aghkKBeztpZvn0qVAaqpUx0yYALRvf1Xwd+oE/PWvctUeE1Ozj/x8YO5c6Z3z6adAaenVc+npUrf/3HO2u6d6ogR/C2HAewOQ8UsGCsIKGtxHxq4MOM829Gxp06ENBq4ZiGFbh+Hs02dxYekF1HeHlnM8B/7u/kh4PwGOMx0xOWayxWkZFAqLWLBA6vmHDwdOn5b6+IoK6QKqaUBammwTGQl4eADTpwMZGVevf/11+WBYuhQYPx747rur5zZvBh5+GOjZ0+a3ZTYNjfyq/PE/AiASgAZg0jXn3gIQCyAawL219NHgyDWFIclfJTPkttqrUJlCX6Gnr5Mvi+NM5wMvSyvjSfeTzPUzP0WvptMYMCyAabvS6j0mhaJRuXyZLKxZV7gGZWXkkiWyesqxY+Svv8oqWfmVqcN9fOT7igpZF7dPHzIsrHHHTssidy1114gAMBPApuoHhRAjAMwBMBKAK4BjQoghJJthCF3Lofe83ri86TIyf8mE08NO9bo2zysPdjfaoZN7J5NtOjh3gOuLrkj5OgX2t5oXBJO2Iw3tndrDaVb9xqNQNDq9e5vXrkMHqce/5x6puy8qAg4elG6hAHD77dJovHu3VBcNGACMG9d447YCFql6SJ4lGW3k1AwAP5IsIxkPufK/2ZLPUtSNaCvQb2E/pGxNqbNt+u50xL0Zh6KoIvl+VzqcZtctnHs93QuZv2RCV6Crs61WpuHisosYsGJAgwuBKxTNhr/+FQgLkxXSb7/d8NxbbwErVwKffw68+mrTjK8eNJaOvw+A6rlvkyqPKRoZx384Iv9EPsrTyk22Sd+TjtjXYkEdcfqe0wiZHIKM3RlweqRuwd/RpSPs77JHxq6MOtumbElB5xGd0f327vW6B4Wi2eLsDNx/f83j998vDcMXLgAPPWT7cdWTOlU9QohjAFyMnHqb5D5Tlxk5ZtIiuKyaT62Hhwc8PDzqGpbCBG27tEXP6T2RtjMN/V7vV+N89uFsnF9wHmOOyIhZ94/ckXM0B8Vni9HJzbSapzq9n+uNxBWJ6P2c6a2yvkiPhA8TMPrQ6Abfi0Jx3SCEXO2npkp1TyPg6ekJT09Pq/RlFT9+IYQngDdIBle+fwsASK6sfH8YwDKSJ41cS2uMQXGVnD9yELc4DpNCJxkcz/PLQ8Q/IjDq11Gwv63hiao0nQb//v4Ye2wsuowwXggmcVUiCkILMPKnkUbPKxQKy2iOfvz7AcwRQnQUQgwAMBhAYCN9luIaunt0R3l6OYoii6qOlSaUImJmBIbvGG6R0Aekf7/LMy5I+dq4LSE/OB+X1l5q0shchUJhGosEvxDiISFEEoBbAByqXNmDZCSAXQCiAPwO4GXl0WM7RFuBXk/0Qur2VACAVq4h8tFI9FvcDw73OtRxtXm4zHNB2vY0aOWG6RxKE0sRMSMCQzcPRechpnPbKxSKpkOlbGihFEYU4sx9Z3BLwi2IWxKHkpgSjNo3yqpFPMI8wtB1Ulf0/1d/dHDqAF2+DmG3h8HlGRf0W1TTvqBQKKyHys6pMErwhGDY32mPzF8zMSl0ktXTDhfHFiNxRSIy92bC4QEHlKeVo/Pgzhi8cbBy31QoGhkl+BVGufTpJVxYcgHjfMbBfkrjVR2qyKlA6nepKLtUBvdV7mjTTmUCUSgaGyX4FUbRF+lREFqA7ncoP3qFoqWhBL9CoVC0MpqjO6dCoVAomilK8CsUCkUrQwl+hUKhaGUowa9QKBStDCX4FQqFopWhBL9CoVC0MpTgVygUilaGEvwKhULRylCCX6FQKFoZSvArFApFK0MJfoVCoWhlWFqI5REhRKQQQhNCTKp23E0IUSKEOFX5+tLyoSoUCoXCGli64o8AMBOAt5FzcSTHVb5esvBzWgXWKqTcElBzcRU1F1dRc2EdLBL8JM+SjLbWYFo76kt9FTUXV1FzcRU1F9ahMXX8A4QQYUIILyHEHY34OQqFQqGoB+3qaiCEOAbAxcipt0nuM3FZCoD+JLOEEBMB/CqEGEky34KxKhQKhcIKWKUQixDCE8AbJIPre14IoaqwKBQKRQNoaCGWOlf8DUEI4QQgm6ReCOEOYDCAC8baNnTgCoVCoWgYlrpzPiSESAJwC4BDQojDlafuBHBGCHEawB4AL5HMtmyoCoVCobAGTV5zV6FQKBS2xWaRu0KI+4QQ0UKIWCHEm0bOdxRC/FR5PkAI4WarsdkaM+ZikRAiSghxRgjxhxDixqYYpy2oay6qtZslhGD1QMGWhjlzIYSYXfndiBRC/GDrMdoKM34j/YUQxys9B88IIR5oinE2NkKIrUKIdCFEhInzQgjxeeU8nRFCTDCrY5KN/gLQFkAcAHcAHQCcBjDimjYLAHxZ+fccAD/ZYmy2fpk5F1MBdK78e35rnovKdl0hgwT9AUxq6nE34fdiMIAwAD0q3zs39bibcC6+AjC/8u8RAC429bgbaS7uBDABQISJ8w8A+A2AADAFQIA5/dpqxX8zgFiSF0iWA/gRwIxr2swA8F3l33sA/EUI0RINv3XOBcnjJIsr3/oD6GvjMdoKc74XAPA+gNUASm05OBtjzlw8D2ADyRwAIJlu4zHaCnPmggC6Vf5tD+CyDcdnM0h6A6jNPjoDwDZK/AF0F0L0rqtfWwn+PgAuVXufVHnMaBuSOgB5AHraZHS2xZy5qM5zkE/0lkidcyGEGA+gH8mDthxYE2DO92IIgCFCCD8hhL8Q4j6bjc62mDMXywA8Welc8j8Ar9pmaM2O+soTAI3kzmkEYyv3a63K5rRpCZh9n0KIJwFMAnBXo46o6ah1LoQQbQB8CuAZWw2oCTHne9EOUt3jAbkL9BFCjCKZ28hjszXmzMVjAL4luVYIcQuA7ZVzoTX+8JoVDZKbtlrxJwHoV+19X9TcmlW1EUK0g9y+tUQXUHPmAkKIewC8DWA6yTIbjc3W1DUXXQGMAuAphLgIqcPc30INvOb+RvaRrCAZDyAa8kHQ0jBnLp4DsAsASJ4EYAfA0Saja16YJU+uxVaCPwjAYCHEACFEB0jj7f5r2uwHMLfy71kA/mSl9aKFUedcVKo3NkEK/ZaqxwXqmAuSeSQdSbqRdIO0d0yniQjx6xxzfiO/Qhr+IYRwhFT9GA2MvM4xZy4SAfwFAIQQwyEFf4ZNR9k82A/g6UrvnikA8kim1HWRTVQ9JHVCiFcAHIa02G8lGSmEeA9AMMn9AL6G3K7FQq7059hibLbGzLlYA+AGALsr7duJJKc32aAbCTPnolVg5lwcBjBNCBEFQA9gMcmspht142DmXPwTwGYhxEJI1cYzLXGhKITYCanac6y0Z7wLoD0AkPwS0r7xAIBYAMUAnjWr3xY4VwqFQqGoBVV6UaFQKFoZSvArFApFK0MJfoVCoWhlKMGvUCgUrQwl+BUKhaKVoQS/QqFQtDKU4FcoFIpWhhL8CoVC0cr4/59d1egA6O9wAAAAAElFTkSuQmCC\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "xx = np.linspace(0., 1., n)\n", "yy = np.cumsum(np.random.randn(n, p), axis=0)\n", "plt.plot(xx, yy)\n", "plt.legend('ABCDEF', ncol=2, loc='upper left')\n", "plt.title(\"matplotlib Plot\")\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "zanadu": { "code_type": "" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import seaborn as sns\n", "sns.set()\n", "# same plotting code as above!\n", "plt.plot(xx, yy)\n", "plt.legend('ABCDEF', ncol=2, loc='upper left')\n", "plt.title(\"seaborn Plot\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "zanadu": {} }, "source": [ "### Seaborn tools" ] }, { "cell_type": "markdown", "metadata": { "zanadu": {} }, "source": [ "#### Histograms" ] }, { "cell_type": "code", "execution_count": 38, "metadata": { "zanadu": { "code_type": "" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "meanVector = [0., 0.]\n", "covMatrix = [[5., 2.], [2., 2.]]\n", "data = np.random.multivariate_normal(meanVector, covMatrix, size=10000)\n", "data = pd.DataFrame(data, columns=['x', 'y'])\n", "\n", "for col in 'xy':\n", " plt.hist(data[col], density=True, alpha=0.7, label=col)\n", "plt.legend('loc=best')\n", "plt.title('Empirical marginal distributions')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 39, "metadata": { "zanadu": { "code_type": "" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for col in 'xy':\n", " sns.kdeplot(data[col], shade=True).set_title(\"Empirical marginal distributions\")" ] }, { "cell_type": "code", "execution_count": 40, "metadata": { "zanadu": { "code_type": "" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.distplot(data['x'], label='x')\n", "sns.distplot(data['y'], label='y')\n", "plt.legend(loc='best')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "zanadu": {} }, "source": [ "#### Visualising the data in 2D" ] }, { "cell_type": "code", "execution_count": 41, "metadata": { "zanadu": { "code_type": "" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "C:\\Users\\ajacquie\\AppData\\Local\\Continuum\\anaconda3\\lib\\site-packages\\seaborn\\distributions.py:679: UserWarning: Passing a 2D dataset for a bivariate plot is deprecated in favor of kdeplot(x, y), and it will cause an error in future versions. Please update your code.\n", " warnings.warn(warn_msg, UserWarning)\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.kdeplot(data);" ] }, { "cell_type": "code", "execution_count": 42, "metadata": { "zanadu": { "code_type": "" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "with sns.axes_style('white'):\n", " sns.jointplot(\"x\", \"y\", data, kind='kde');" ] }, { "cell_type": "code", "execution_count": 43, "metadata": { "zanadu": { "code_type": "" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "with sns.axes_style('white'):\n", " sns.jointplot(\"x\", \"y\", data, kind='hex')" ] }, { "cell_type": "code", "execution_count": 44, "metadata": { "zanadu": { "code_type": "" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "### With a linear regression added\n", "with sns.axes_style('white'):\n", " sns.jointplot(\"x\", \"y\", data, kind='reg')" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "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": "3.7.3" }, "zanadu": { "authors": [ "Antoine Jacquier" ], "bibliography_data": {}, "category": "1", "clearance": "Internal", "group_name": "ImperialMScMathFin", "md5": "dd6e4d2cbfbf592f49a60fccdf5c5176", "notebook_id": "40FCDAE2-0C6C-47FB-BE79-F7A583A8E4F3", "python_name": null, "reviewer_id": "B81D4EC4-269D-42B3-9975-85BC42EE5712", "status": "Approved" } }, "nbformat": 4, "nbformat_minor": 1 }