diff --git a/5. Dimensionality Reduction via Principal Components Analysis.ipynb b/5. Dimensionality Reduction via Principal Components Analysis.ipynb index ac2c31a..5edd959 100644 --- a/5. Dimensionality Reduction via Principal Components Analysis.ipynb +++ b/5. Dimensionality Reduction via Principal Components Analysis.ipynb @@ -40,30 +40,20 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [], "source": [ - "# import relevant libraries\n", - "\n", - "# for PCA\n", "from sklearn.decomposition import PCA\n", - "\n", - "# for plotting in 3D\n", - "from mpl_toolkits.mplot3d import Axes3D\n", - "\n", - "# for data types\n", "import numpy as np\n", - "\n", - "# for general plotting\n", - "import matplotlib.pyplot as plt\n", - "\n", - "# for statistical functions\n", + "from matplotlib import pyplot as plt\n", + "from mpl_toolkits.mplot3d import Axes3D # 3D Plotting\n", "from scipy import stats\n", + "import seaborn as sns # prettier styling for plots\n", + "import ipywidgets # interactions\n", "\n", - "# this will embed pictures into the notebook\n", "%matplotlib inline" ] }, @@ -78,71 +68,75 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 2, "metadata": { "collapsed": false }, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 2, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ - "e = np.exp(1)\n", - "np.random.seed(4)\n", - "\n", - "def pdf(x):\n", - " \"\"\"\n", - " Compute probability distribution function.\n", - " \"\"\"\n", - " return 0.5 * (stats.norm(scale=0.25 / e).pdf(x)\n", - " + stats.norm(scale=4 / e).pdf(x))\n", - "\n", - "y = np.random.normal(scale=0.5, size=(30000))\n", - "x = np.random.normal(scale=0.5, size=(30000))\n", - "z = np.random.normal(scale=0.1, size=len(x))\n", - "\n", - "density = pdf(x) * pdf(y)\n", - "pdf_z = pdf(5 * z)\n", + "np.random.seed(4) # Reproducible results\n", "\n", - "density *= pdf_z\n", + "mean = np.zeros(2)\n", + "cov = [[1, 0.9],\n", + " [0.9, 1]]\n", "\n", - "a = x + y\n", - "b = 2 * y\n", - "c = a - b + z\n", + "data = np.random.multivariate_normal(mean, cov, size=500)\n", + "xs = data[:, 0]\n", + "ys = data[:, 1]\n", "\n", - "norm = np.sqrt(a.var() + b.var())\n", - "a /= norm\n", - "b /= norm" + "plt.scatter(xs, ys, marker=\".\", color=\"blue\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "Apply PCA and plot\n", - "------------------\n", - "We'll now plot the point cloud and the results of PCA from multiple angles so you can see the effect of dimensionality reduction visually." + "As you can see, most of the variation is in just one direction. We can formalize this intuition by using PCA to draw out the appropriate axes:" ] }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { - "image/png": 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wkNLLLp7nceXKFaSnpwvi0tPTA4PBAL/fH2RaO51O2O32oGWXz+dDT0+PcJcl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\nUgMIZnrs7AAAAABJRU5ErkJggg==\n", "text/plain": [ - "" + "[]" ] }, + "execution_count": 3, "metadata": {}, - "output_type": "display_data" + "output_type": "execute_result" }, { "data": { - "image/png": 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ccUZh3DVA7L7lapmoEI/cWY/HI1pkqaaFIRGNoHqKyLH709on1tpIKvkEAgFc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\nRU5ErkJggg==\n", 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AsFD2eiZ18++g+tVt2E/J5VjbNzy851yOnj+dLRsOdpBFa+KNbGgs2kJa5KJd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\ndTpJefQhMm6fh6GhQXedxkv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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -150,52 +144,126 @@ } ], "source": [ - "def plot_figs(fig_num, elev, azim):\n", - " \"\"\"\n", - " Function to apply PCA to dataset and plot figure.\n", - " \"\"\"\n", - " fig = plt.figure(fig_num, figsize=(4, 3))\n", - " plt.clf()\n", - " \n", - " # create 3D axis\n", - " ax = Axes3D(fig, rect=[0, 0, .95, 1], elev=elev, azim=azim)\n", + "pca = PCA(n_components=2)\n", + "pca.fit(data)\n", "\n", - " # plot every 3rd element in our dataset\n", - " ax.scatter(a[::10], b[::10], c[::10], c=density[::10], marker='+', alpha=.4)\n", - " Y = np.c_[a, b, c]\n", + "axis1 = pca.components_[0] # axis of most variation\n", + "axis2 = pca.components_[1] # axis of second-most variation\n", "\n", - " # perform PCA and reduce to 3 principal components\n", - " pca = PCA(n_components=3)\n", - " pca.fit(Y)\n", - " pca_score = pca.explained_variance_ratio_\n", - " \n", - " # get the principal components\n", - " V = pca.components_\n", - " x_pca_axis, y_pca_axis, z_pca_axis = V.T * pca_score / pca_score.min()\n", - " x_pca_axis, y_pca_axis, z_pca_axis = 3 * V.T\n", - " \n", - " # setup the plane as result from PCA\n", - " x_pca_plane = np.r_[x_pca_axis[:2], - x_pca_axis[1::-1]]\n", - " y_pca_plane = np.r_[y_pca_axis[:2], - y_pca_axis[1::-1]]\n", - " z_pca_plane = np.r_[z_pca_axis[:2], - z_pca_axis[1::-1]]\n", - " \n", - " x_pca_plane.shape = (2, 2)\n", - " y_pca_plane.shape = (2, 2)\n", - " z_pca_plane.shape = (2, 2)\n", - " \n", - " # plot the plane\n", - " ax.plot_surface(x_pca_plane, y_pca_plane, z_pca_plane)\n", + "plt.scatter(xs, ys, marker='.', color=\"blue\")\n", "\n", - "# view the results from 2 different angles\n", - "elev = -40\n", - "azim = -80\n", - "plot_figs(1, elev, azim)\n", + "plt.plot(axis1[0] * np.arange(-4, 5), axis1[1] * np.arange(-4, 5), linewidth=4,\n", + " color=\"red\")\n", + "plt.plot(axis2[0] * np.arange(-1, 2), axis2[1] * np.arange(-1, 2), linewidth=2, \n", + " color=\"red\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The two red lines define our new informative axis. As you can see, most of the information is stored in how far along the thicker red line the points are.\n", "\n", - "elev = 30\n", - "azim = 20\n", - "plot_figs(2, elev, azim)\n", + "PCA doesn't just work for two dimensions. We could do it for large dimensional data. Here's a visualization with three dimensions:" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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xohTNgtnQcJG//KWDsWOD3H33zBjB/O1va2lsrGbt2lpWrZoc3m5dt1DC59Mj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\n+xfx/vubmT17fJQXwm4gFv1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kJMlY080ZXnnasmeoufih3LFVW+wE03CPxSP5RPP0CabB\nwoUlHDpUT3V17AoJTqfTUhjZ7w8iSSWUlOTjdJ5iyhT7hVE/97mrKSragsfTw5o1i+ju9vLd755i\n584G5s1bh8t1mNmzO/jrX5vIz19GIHCa+vo/09+/mpqa8cye/TY33bSAvXs7gBm0t4/lwoV95OaW\ns2rVBMaM8XH4cDOK8ge2bQswf34/a9dqfOMby/jOdzbQ0/Mxzp71IkkTmDhxPgUFbzJu3MtUVPg4\nfvwuenoaqa9/l44OhalTP0tZ2T5+97uZfOc7v6WuroTOzsM4HOV4PHVMnlzGmjW1NDS00Ng4luee\n28i+fQ/h9W6ltPQ9nM4ucnL8zJ7dT3t7Lw89dARNk/nlL6fjcMicO9fKsmVz4t4v1vsK7MriaZrK\nggVTePTRI7hcTqZMmYjP1xt61b70XaJ7yfg/dPSo/9NLvHJlV7onZDgjhC/jWN2c0VjdnOY73bpQ\nbKxLc7BLEMUGvkS7XzVNRVE0JAlLcWprjmHoqKoUFj9Jijy81ku1u279vP1+I4zbyLNLVLVlMBam\nfj16ft3A7tnI9giFhXmsXGktSWbHu++e4c03g4wbd5aPfWwOlZX2VVwAfvWr3fzhD7k4HLXMnFlK\nb6+XlpYaLl48h8+3lXHjaujvv8Tq1RptbTuoqMjj0KGruXjxNIrSzZkzy9C0Lv7+76vw+4/gcm3n\n4x+/j6amC+TllfCVr/QCK/H5fszFi3exe/dFHnmkhpKSUn7720/w6KN/5fhxCZ/vBLNnn+feeyfR\n3e0lJwfOnHmT995ro69vMtOnuyktfZ2+vh7ee68Xv388RUW3A5sYP/5OFi16nu9/fw1FRYV85CPv\n8fbbNzJ9ei25ufsYNy7Aiy8uQdOgrq6ba6+9jmPHztLZOR1wcv58C9//fjPNzQu5//4X+Pa3P2wp\nmxb/+9TYvPkITz/dzs03O7nrrgXhBX6vv35RHME0C2eySJZnw0gpSV4wkyWzc4iCWBzf+9734r7Y\n1+eP/6JgQPRcL8OScURZY9ERnYZYma04Y3ukYkTkfQ7TQxkRNet+dm5PR9Q2o/3IOekWmXVFBsOd\npG9Xw6t7Gz+G69Nq2ZmjVyM/RpSoflx9YOBwuJFl/Tpl2RH6cYUKZLtCP26cTjdOpwuHwxkunm3s\nr79XjuqYzOKpn+uFCx3s33+RnBwFj0cOr3xu/ASDxt9BVDWIoijh69WLROu/X3rpGNu2tTNpkov8\n/Hy2bLlAR8cCXK5ubropUqfTjj//+TC7dy+nvz+HCRO83HvvbH7/+z/T2zuVkpJLBAJ+/vjHWXR0\nbKGycgG7dnXR2OjF6QyyYEErLpeHM2dKOXq0n7a2fA4erKShoZGPfewqurr6eeaZXTQ3v01zczvt\n7QqBwFEcjm6mTCmjrKyItrYe9u+/jvx8N1/4QoDW1jaef34tO3a0kpOzl8OHPeTktLFs2UUWLy7h\n5Mm72bTpCPX1Dtra3uWBB2Sczvf55jdXsH9/Hf39/Rw/3kRvbxc1Nd3cfXcupaUqTz3lY9o0hRtv\nXIgsy1RWljF58llWr+5hxYrZPPfcWc6eLaC+3oMs1+N2B3j44Rfp7b3E4sVTbD87SZL4+c9r2bnz\nNjo6arnzznGhVcxdppXNraubO53ucGk8/V4y7h+H5f7RfyIRuNEDQv27V0I/xv1hd//o2/R9ou+f\nyLMCevCbpqk4HC6L8KvDO4vospOf7/l+vNeE8GUQRenHPmXBfEcb2w2RcRLr8nREiWO8bYbwKeF9\not2c8QQ00qbRCUQHnZitTbM7U7X8RDoFc+dgFkwVUMLiahT9lWUpoVhGCyYYI205/GMWTEMsjSoY\nHk9+WDC3beuio2MqXV3tTJ9eHKfDI+YazdfV29vDiy9q9PfPwuU6xcSJBVRVSRw58i4OR4BJkzx4\nPA5On27iD39o5sKFVqZPL6W/vw+HQ2bp0kq2bHkZ6GHhwgAXLvhpbj5PU9MMiosbOXz4ODt3dtHU\ntICGBpX+/iI0rQW3W+XnP19KS0sthw+XcukS9PXto62tmp6eo9x44xiefHIXJ0/eSVtbLl1dfcAd\nqKpEfX0uFy4EmTUryJtv9tHcvIXu7sO88koB27ZdxO/fRiAwl+PHuwgEHqC/fzu1tTm8//4xxoxp\npbt7Lz7f3RQXV6JpF7l4cTU7drzAhg238c47DfziF4uorGzk2WdvZf/+IlpbT9PZeRfFxQe59tqp\n4ft/ypQqpk4di8Ph4Oabizl27E0UZQVLlrTzX/+1g3fe+SQ7duzgq1+11g81U1Tko6NjP3fckce0\naeUxomHQ1dXNvn21TJhQGbbMjPtGls33jL1g6veQXq7M7c6NEUzjvrMXzHj3j1UwjTk+Y5sx2JIk\n4ZAbComET3yyGSXWLWnnhrR3TUben8hFmuhYdiXQot9jrd4ihRcG1Y/lQ9PA6fTYRJ5G5mJit8fu\nY3cgJO4AACAASURBVN039jrt5/js3I+R+Rrr37Gfk/m6FEUNu18nTpSprT1HdbU7at7S+v5E85eF\nhW6uu66FlpYDLFs2AUmSKS8vIhgcx7ZtFRw4sJd//dc5HDnSSXf3Avbs2UUwuJvt28tR1f0UFhay\ncuVkfL6VHDv2Ovv21bBnz1mqqtppbXVx5sxVSNJ5NK0On6+F3t6zyPL1QCU/+clOvN4bycvrZNo0\nD2PGFPDmm3M5e7afD3zgb1RULKel5a+43ceorFRobX2WnBw/Ltc0HI4cDh++yIED06itrcPnm4/f\nPxlJOorT2ciaNdM5dmwz588/x6VLDhRlHT09p+jre5+ysu+xcOHPKCoqJSfHxY4dhygsnIfLdYhx\n49rweOazfPlsJk/ejMej8KEPTeX991/hk5+cH9f9V1VVzq9//WHOnDnHnDnXcPx4A3v3XqCqKnHm\n9ooVM1mxYiaBgC8kTPbHf/jhLezefQOf//ybfPWraxMe0w7jXtZFMrV0g2RLmUXiAKTw/LcIdMks\nQvgyRHQdzgjxUgr0/RKXGrOby0tlCaJ4eW1GVFnkPebcIvNDGCtAyWEnhro1FmnDXjDjiWU8IiJo\ntg5VNdI5zp1bwbx5+r6qqsTtZMzzl8Yx9e9I//+WW2YTCPQjSTIuVy6KotDW1sCJEw1cffUCamsv\nceONNbz++p84dKicPXu6mTFjDm+9VUFV1U1I0mNUVjZRUiKze/dOXK4O+vuduN1ngWWUly+iquov\nnDp1A4HA3YwZ8zfmzVtBe/tRLlxoZ8mSg3ztaytxOG7gwoUd7NjRj6quo719O07nJJzOiVRW9jF2\n7NX4/e/xjW/kc8stswD48Y+34Pf3oyg+xoz5DXl5s5g/X+XBB2tZuvTT/OpXb/HDH05AUZ4BKnG7\nz9Ld/WPee0/D5foQd9+9iSVLZHy+KXzpS+dYteo6PB4PlZUennwyIjCrV/cO+N3l5uYyd66+gOwP\nf/hh7ruvlilT7k7y+048P6ZXPnEPoQLK4Offkg2y8vn60DQNjycvfN+qqghuySTC1Zkh9FGcXWCL\nOUpTw1p5JdrtGNkWLXKSZLgxzXN5xLzPOv/niHMc/X99Tk0Kn7+RxpDqSNcOq5tJt9b0+T0Jl8tj\ncTkZc3eR+TtnyJ3kCI+8DbHUxdou0CfaEja7ZAdyx0bmL30+L88+e5zDh1uYObMYWY4MCoxj6e4u\niZaWVvbtm0xRUTWTJu3hvvuuQlWDvPmmj/b2VZSUNHHbbZfo6+ugs7ORxsZyzp+/lfb2WlauvInG\nxvfxesuZNq2QadPA4znGzTdXc+zYOVyuXK66qpHx41soLMzF651JZ2czqtrONddMYckSF+fO1TF1\n6lF+9rMleL0tSNI5enoukpd3gi9/uZjTp/04HN1UV5fT1naRtrYOPJ6pzJ/fwfe+N4+HH76Oixe7\n+Nd/fYuKCom8vIm0tztwOh24XE10df0P+voUZPkU113Xx3e+s5wbb/SzbNlci6dA/7w1Nm/eB6gU\nF+fbFneOd5+MHVtOTo5n4J3RizrrwVEuW4FZu7aKRYuOsX79tYOyoowVPox7MRMoir6yvMulf0aR\nVJ+MNDdqSOTqlBLlqLS2douPfpAoihdzmbKI6OidfSQ9wWzdOUMiFwxvkyS9Q9HnASL1PiXJGXJj\nquhzedF1No1jGcnoxjmYj6PvZ5yTeQWDYNCPEW2ZCbeLqiooSiA0txJ/YdPBH18NdSi6oBtRpLGu\nV6sbNpojR+p59NFyOjoCfPnLDaxePR+v18drrzVRUABr104KC7CmaWzceAqvF+68cyqnTrXy9NNO\nOjuPUlOTy7p1FSxYMI2enh68Xj+f/vQ7nDgBBQUu5sw5T3f3Ok6cyGPChA0sW1bC1q2rCQT2cs89\na2lpeY6mpiIuXBhPf7+Tnp5tuFyzyM9fyvTpb9DY2M/Fi/ezYMFb/O53N3HoUD0/+EEde/Y0MX78\nAubP38sbb0zA4YDnn69m5swJ7N59lP/8z79y/PhcVLWDz3xmPBs3nubMmc9TWPg3nnyyhn//93c5\ncKCUwkJ9FYicnFq+8pXpfOYzet3MeBGyzz77Hj/96WKqqrbw7LOryMsrTPp70zT7Febt8Pv7UVUl\nvBZfugkGAwSDPlwuT0buUwCvtwdJkvF4IpHDqiqCW4ZKRUVh3BtCuDozgG4N2PlWzNaefVqBFfP/\nmuXvxGXLEi0wG/00xXNzqibrLP0YEaOZGkUbSJJjwE70T386Tn29m3XrPMyaNTa0Vf+M58yZRE/P\nJpzOcny+EiRJ5tixFg4cmEhd3TnGjTvJvHkzwgEK69ZNpa+vj4MHT1FX10Z391TGjJnAl740Drfb\nzZNPbuXxx3Oorj7HU0+t5l/+5T3OnbuRiRMPkpOznbY2jTlzPs7Zs8/h87WRn99MXt57nDpVRHNz\nB35/F8XFNxIIjKerq4GOjkKam734fJ3A3/B66/nhD3dy6FAPLS0O+vqu5fTpfYwb10pv7wLc7in8\n8Y9/4vbbr+FznztDc/NXgGPATTz22F8oKPgQfX1P4navYsOGwxw4sI7ubigtfYYvftHNpz51N8XF\nhYCKoujXfOnSJV544SizZ49h1aqZADgcCtCGy+UHNHy+Pos4mgNBjG09PT186Us78Pk8PPLITCZN\nGrjySuZXMchsqkG2qsIIrAjhywC6C88qVKFXQr/tBC1+BZfYuTzzPomWIEomiMZ48Bym/ZSYbekk\nEs4NmetQDGEd2E17/rwLSZpFQ8MRZs+2zmHW1zcxceJ1tLf3MXWqH6fTzfz51fziFzs4c8bN//k/\nbn70o+5QUWrdevyv/9rLjh1VOJ0l1NT0c9ddKsGgxsaNp9m6tRlV/RQXLmwkNzeXtWsreOqpHbz6\n6imCwTlUVlbj8/2Nb3xjIVu3XuTqqxdy/LiDs2fd9PV5mD//DLNnv01zs4f9+3MpLGzD53PQ3FyK\nJK0CzvKXv7TQ1TWOyso/EwicAGQOHKhmyZL3aGnZxo4d6+no2IbXWw+8C9TjcNTj82nk56vMnVuM\nqo5jz553CQbfJhCYRHv7Gl5/vQ23+xCf/ewKCgry0TSNl18+wPe/30tnp5Pp0/v4859/x4IFU3ng\ngRuYNesM48YtR5blcNBGIpqammhomIWmVXDs2AHGjtUX6t248SA//nE711zj4z/+43aswWKZNYsy\nLUxC+C4PoipqBrCuxGBsi43wNBMbNanvG3q36Xh2c4XmfSxnEud/83H0OUKHw5w/ZMz5Zeb2MDor\nI20iExjXkEzh3w9+MJ8FC45y/fWxuXcVFcWMH9/CnDltNDX1culSF7m5OdxzTzHl5UWUl0/mrbcO\n09p6CUmS6ejo4cCBJjo7c7l0qZuxY91UV4/lpz99m2eeqaSpqYQJE37Ft79dwKuvnmXjxku0t8+i\nrW0WbW19NDa+T17eJU6d8vOlL81j+fLJHDu2B683QGdnPXv3juOll5ZTV3eORYtupb/fx223ORg/\nXsHne4Zdu+bT1hZE0xbS2loCfBjIo7RU5Y47pnP99RPJyytj167zeL1rKSycxnXXBZk0aSq5uR9A\nVfezerWHgoL9FBc/TFVVD07nBTo6dnLwoMIPfrCUG254nO7uHjQNGhr6ycm5Fknqoq5uI08/vZbv\nfldl796TzJ8/h6KiQiTJgarK1NY24HLl4nbn4nLl4HJ5LDl2U6ZM5h//8QJf/OIebrxxQXie9a23\nmjl8+CNs355DMOgnGPQRCHgt9WN9vl683h683l58vj78/n78/v7Qfr7Q+4zcTCWcjzmQxWh+bjOD\n/fHF/F5mEcEtaUZ/oIx5tUjgiI6GEXRiDTyRTR20da5O325sk4kVs0RBLPFSGaxiqQeN6NadHlGm\nz/llak5DDx7RkGVnUsKUKsY1SJKMwzGwU6O0NJ8pU0otRZANcnI8rFxZRltbF0ePLqKu7iyLF5cx\nbVoZS5cGaGk5wnvvXcXu3Ye47bbJPP98EzCHvLxdfO5zVezadZgf/7idw4eDnDt3Dp9vHBMnrsTr\nreXFF2WKiiZz4cJ2FMWNonQwZswkurpq8PkW0dv7Nm+8cZ7a2hW0tW3D6byXvr7N9PXlEww2MGZM\nC7m5c2lrU7j22ms4duwiHs88nM5X8Hia6e9vx+e7GtjNRz/qYN+++zh5cg8dHa/Q3Czj9TYRCEhM\nmNDHrFkdnDx5gPz8Odx9dy5VVX727t2G01lEV1cXgcAXUJTngUK6unr5zGcm8vvfH6KuTmPlyiN8\n+9tz2bDhLJcu5eB0nuef/ukq8vJy0DR9VY8vf/lv/PSns+nsfJNFi6rweHKIzcF0MnPmBObPr8Hh\ncIcLFsybV0p//ybWr69g7txqSw6deRBlzqGzBiBZc+hiE87NomgULIgEPEFkAGUWpHQM2ozzig6e\nEcI3dBIFtwiLL81EAlOsZYziz8dFb0vk5pSi9o23Zp/5f/Pr9udgdXOaO5L0o4tS8tbY4NqwdlZD\nRZZlyspcBALnKS5Wwh3q1KmVjBuXx6lTfk6eLKO1tYPz5xvZsaOJ8nI3t946j1OnKgkEPoCqqrjd\n7TgcjbjdL7Jt2wS6uiZTWnqIT3yimvLyi1RVLWHZsqPceuslcnK2cuBADTt2eCgoKOaDHxzH8uWv\nMWmSh4KCa/F48qmvn4Xfv5cHHyzkzJkNLFx4BqdzA17vSqqrZ3PVVcW4XC9TUVHAunWLcDhepb4+\nl7q6j9PdPR1NuwuXy0lDw1y6usqYPPlrrF3bwJ/+VMd//3eAs2draGr6IMXFDVRWvgH0AiolJd0U\nFOSydWsRp07dRFFRAdOmVdDfPxuX6wbWrPHT2trJhz+8ma997XWCwSBer0QwWMzTT7ezfv1BWlsv\nWiJrIwUNrD+KojJ+fAWPPPIB7r57aUgojUhfZ/h7djpzcLlycbnycLvz8Xj0H7c7L8bCNFduMQRU\nv2/UGHGMFFH3hazIPny+3rCFqf9tWJi6dWlYmJHqP4aFac5xNe7VSM5tZJsQvkwjLL40o5coi1h2\nVotPCouMVdCiUxas4mZYaamVLYu2Es1zVw7LcZzOiGVn5NY5HM4MuSG1UO5cctbYYEj1GjRNY8uW\nOhoaOqmpKbZ9z6RJpSxapHLVVePCwUuS5KCqqpCWli4mT85lxYp8mpq6aWqaRXd3Kx/8YBXFxW3I\n8iH+5V8m0NNTTnv7Es6fr0WSCqmsbOe7353B2rXzqavzk5u7GEU5RkGBg4ULHWzb1s+cOWO47bYG\n9u/vo7Z2KopylMrKi/j9dXi9H6Kg4Dwr/j975x0eZZX98c/UZNJ7IQVIQggJgVACoUkTpAgWUERd\nV8Vdd9d1bYvurm3VRdddxfJb22J3dV0VOwhYAOktBQhJSEhCeu/JzGTK+/tjMpmSd1Jn4i7k+zx5\nMnPnfe956z33nHvO96TJ2LJlOiUlAi0tvhgMy/D23srLL1/FvHkqVq4MoqBAw5Il3hw6VEB9fTGC\n4INCUUlg4HdMm+bJH/6QQnHxNs6c8aagQIZefw3u7h/S2SlFpbqcoKCd+PvfwujRO3j//SsJDg5E\npyvDw6OQa66Jw9PTg88/z6Czs5NlyxR8910O+/evpaioBo0mm40bpyKRfMH58/M5fz6X7OxSLrkk\nCKVS5pDhx0KHZ0vzZZ9OYqGps0Tp2hI5IGJdWpSnI0o8a+Yfc8USsyxzGo0Yw09/LExrpdj1FGJO\nZjcd+4hNMlSMUJYNE0wvqz03Z09F1bU11laZLV+mmEvTntPTkQyzVWjo3s+2r56uUbMCsnZzmtyQ\nrkljMPESutbNORBXbWFhBUeORFFd7UVERD2NjWp27Kinvb2FyEjf7u2USiUSicTmHLy9PZk2TU5a\nmge+vj7Ex/uzf/8BoqMTgXpWrkxi2bIYIiNDiY01kJHxIw0NE+nsbEKlaqC21uRKnTLFB9jDl1+m\nkJc3lfT0vQQELGXWrHNcccUM3n03m9OnU2hoaEOt7kQuj6K5+Wt+9jNv2toMHDnSidF4Ch8fJXAY\nf//FKJXlrF+fyjvvnOeHHy5l585vaWtLwdMzj5CQAMLCcmhpuZm8PDmRkRV8/30reXlXIpHsZc6c\nwxgMIJNVMG9eC8uXJ1Bd3caVV0axYEECX355nEmTwrjyyiQ8PT2RSmXMmOHL+PENXHPNJP75T3ca\nGrLR66spKprH6tUtrFp1CYKwhxMnFtLUNJWEhExiYyO6IzttczD7psQzW/bm7WwtR2uFKdh9tsiw\n/rOnxDNN0vRIJBLkcutcU1sOWXOqw0A4ZO1TaMxKz5I/65plhosJI5RlwwTrunviLkjHLk3bNmvL\nzvHiujj3p3U/9q5R636sWU0sA4ipX9fNNs2yXOfmHFhgTmVlI7t2aSgoOMysWcGEhIzmxx8rUavj\nyM8vYuZMMRkGdDodjY1qdu6sJDHRk2nTRlNSUsvevbVMmuSJXq8hIkJls59GA3PnjkYQSqivj6K6\nWkZOThudnVoCA31xdw9Bqz1EZ+cZ/Pzaqa//kpMnlWg0OwkP9wa2IpPNAM7S1taBUnkrR4+m09IC\n7u51dHaupKHhEKGhtbi7R7B9+z727StjyhRv3NwOotHUotOpGDs2kc8+m0dGRiRr15bS2dlKZmYz\n3t5VCMKn+Ph4kJkppbo6CUHQdlGfuRMU5M2MGaN4551DvPnmfEJD9/Dxx5Hdz2FCQhQJCVEYjUZG\nj/6e2loZvr51TJmSzpgxC5FKZWzYsJq2tn3odEaWLLmkR6pJ75R4gs021hGd5s8DcxE6osSzDzTr\nneFHrzf3gVVfYsxGPSnxOjvVCIIRhcJc8krAFKE9AldiRPE5EWLRnNYzWcd8ndYliKxnhGZIHShS\n8b6sFahtX7ZlVszb21dcFwQDer11srz5PKzzrnq2WZ+jGMzHak+D5kxYinqaBtTm5lZOnqwlJSUU\nb2/PHtvX1LQhk8UTF+fDqlU+KBQKpkzxQ6crIDa2Z/09QRA4daqMbdtg//7DeHldRX5+MdOmwbZt\ntZw7N51Ro05w771RAGRllZKV1UBCgoLXXssnJyeMadNg/Pgm8vNnExNzDC8vU3J3Xp6KtLQ0zp9v\nwt1dwunTdeTmNqNWT8DN7TheXn60tu5CoxmFn18EHh67CA3Vk5MzlubmMjo6DgPetLZGkZz8Otu2\nrUWnC8PX93Ouu66exx9PQavV4u5+jpKScaSkxJGU9B2VlTPx9NxJefkleHmpUSrTKSm5DaNxN3J5\nBXr9cnbtKkIiWcK33+4kNtYLhSIHf/82ALRaLU1NTYSGhgLw7rtHKSkxEBh4NdHRmTz33PTu6yeV\nSrnnnvkO719/KfEEQUCv12ImXhBXmOJ8spZ3pn+UeIJg7JJlfVy2ifvix977O2E0SqyeV/M2UjZu\nvJe//e15xwc0giFjRPE5CQaDmUUFxC076zZ7vk77NvvfHClM6/6tqc8cJ7bbH5NMJrdaM7FVdj1Z\nTgYyo+45m7blzjT2W2H2FxbCX0t/27fXUFOTSFVVDtdcE9Njn+TkCLTaIvz93XBzMzHXBAT4sGyZ\njwMZRqqqNOTmhlFUFIlMdhSttp1vvpEhCA2Ul3/PvHkmBdvRoeaBB/LJy/PC21uOVKpBo5lJVdX3\nbNw4nt27T1JZKfD++5lcf/1koqIaOHZMQ0JCI3v2SOnoWI9O9yRS6c9pb68EFiGVngE8kMnKuPHG\nYBYvDuPMmYMYDAkYDAZ0On88PL5h3777cHd/HR8fGdOnj+XRR4uprx+PVNpIQUEyH3xQzB//GM7a\ntSFs376bsrI6BGEBpqoLkRgM+3FzayE+XsYvf1mOIHiRnb2Dq66KIyoqlLS0eo4fb2fDhgOUlpag\n083m3nszuPTS8bz9torGxluIiPgnK1c6rrAwNNh6J5zJIWv+bE0e7Zz3wfTffLzWE1KdrpPS0lLk\ncjlnz+Zh4skdsfxchRHF5ySIuTltFZW9VQYW2jLr38Ty8hxFbkJP7k/bdUPxPCVL5KY5etNEIWYQ\npRAbmPup79m0qdCto2oMlvMd+GzaMhia24OCBMrKzhMUJCIOkwUyY0a0+I8iMBqNLFgwmpMnj1BV\nZUSnUxMbu5LXXz+AWi0wbdo0vL3LAMjPr0StdkejaUIq9SM4uAOJZDejRrURHR1CVFQNmZlzKS0t\nY9myBqqqVPj6LqK9/Rt8fAqord1DWNhsgoKeo75+FGr1XmJjCwkNVSGTXU9Wlo7Dh4vx8oonPt7A\nmTP1BAW1Ex8fRHa2lpgYLwRhLOXl7QiCN1JpMO7un6DV3kBY2GkkEimLF4fz7LO+1NWtwN39CQID\npwFtBAefQ6+/B5msgaqqE8yfn8T8+V7s3ZvHlVf6EBgYyK5d2WRkrESt/hfBwbHU1+9DpVIxf34N\nJSXbueuuVMaPH9PvazsQWHJNh6YcelOY5kmUKbDF8qO9x8T22bdts35nHCtMgY8++pCXXnqpu2XR\notn4+Pji5+fHL37xG+bOvWTQ5ziCnhhRfE6AKZjCwolpQU/lZe3S7KnQJDYvor2LtG83pzXEqzPY\nly2ynIOti9BmLyfMpo1GAaPRdI1MYejiLqnBzqZ1us5ukl+T+9Y0EVm8eCzz5nXi5hZitYZpOgm9\nXk99fTMhIQH9jv40GHR8800ucXEqrr8+Grlcxddfn6SgQKCmJpjs7I8JCkqkvT2H5cvH8atftfDe\ne+fo6DhHR4cWpbKFoCBvqqsbmDkzhtzcw/j4CPj4JKFUVtPR8T5ubjri4n5BU9OHyOXxLFs2hYAA\nGdu2xaHXe3DTTb48+ugHSKUeBAbOJSTEiF5/lsTEucyfX4pG40lr6yHc3XXk5c2nvPwtVKpOVKo6\nPD3jiIlpZd688UgkUkJCAnF33w6Mw2C4FDe3uSQmHuX559fyu999TENDFdu23cXx4+l4e5dw+vRK\nCgu3ERGh4uTJZkaNeperrvIhOPggq1alIZFIePTRxVRWVvLLX55FEOp49dU4oqP7ph8bCCwuQlet\nFTt2y9t+7/87Ya8MjUYTwbZEImXevPnU1tZSUlJKVVUVKpUHLS3N1NfX09BQ74xTGoEVRhSfE2A0\nOgpgsU9et26zX38ztfXc3lphivNsivfVe+CLOdLM3Lcl98157hVbhWmmEJP3msYwmNn03r3FpKd7\nMnlyG4sWjek6H313LzKZRLTe3zfflFBREUViYiFz5pisPr3egEIhR2z9EgR2787ggQcqaGuTMH58\nEXfeOY6KikY0mha02khOnvRHEOKoqOhg0SIt69enoFJJ2bLFl6IiOR4evqSnf88zz9Ry771+eHpC\nQICSL788xWefzaepKQdf3wKqqrai158iPj4Ro1HOJZdE88knpxGEufzud59SX78MyCY4+Ft+9rNJ\n/Oc/Cqqra9i79zjNzaMJD1+Nl9cWNJqdaDReyOVL0Go/4bLLvNm4MRgfHx+MRiObNx/Ew8OIVOqO\nu/sexo4t4e675/P22yfJzr6J6upduLntICVFgVKpQCLJJiRETna2Aan0epKTd3HbbbPs7qGR2tom\n6usnAEqqq6tcoPgcB305p3/7tbehw34CaSahlskUREVFc9dd93LvvXfz4IN/ZsKEJKfJHUFPjCg+\nJ2DXrm0sWbIYa1JnMWusd2JpS5u4i9T+RbcNYrHvR6yUkWl7cVJqcDWFWP+4Mwczm25sVODuHkN9\n/SksaQyO3bFmhanXmyPrdBiNBr78soCCAm/mz9cxbVpP+jKAbduaaGtLQK+XcP68wJtvNtHePovQ\n0LMUFR1HJptKXd0P3HBDPCpVGLt2neTDD4txdzcQEaEmJMQLhcKb/fu1NDbuw9PzRtrbM7juOgkq\n1VEqKoppbu6krS0WQfgDZ8/uoKoqlO3b8wgLa0QQGsjLa8NgyEEiSaa9XYLBICcpyRuN5ixnzqSg\nVjcQH/8yZ86o0GpnoFLtwM3te2SymeTnF6FSqZBIpOTlneOTT6ZRV6dDEC6hvb2EysprOHjwR44f\nb6St7V2gHi8vD26/fRHBwcF4ex9k9OhoFi70ZceO71i5cnSPayQIRpKSYnn88RwMBkhNndL3TRwA\nhjdIynUWpUmGLYXh2bNniY9PcInMEVgwksfnBLz55mu89NJLrFmzxmp9zDzgikV4WhLZ7anGbPc1\nt1snpFtvY4Z5AHBEgWYvH5s8PZPLxfUUYrgoPzAqSolEUsSsWYGoVKqucjnmZGXrhGXben8BAVLy\n8qrIy2ulqKiNujoJUmkS7u7VxMcHYl/vTxCMnDihRy4PpLn5C0JDAwgNrSMiogUfn2paWjpQKmt5\n6KEoVq5MpL6+nrvvPkhx8QxUqmYeeGAs11wTg17fhFabikaTQ0PDUQoLPTh5sorw8Fba25dTVVWB\nwdAEuOPnd5KmpjCqq4toa5tLePj36PW3dJUlMhAZqeCuu2JYsSKe+fP92Lq1AJlsMWlpbajVQajV\n51mzRsL48QpOniyhoKCdrVvzWL06lOjoCEpLDxAS0oxE8imBgRpiYpR4eNRz+vQNdHSoaW1tobU1\nlW+/zcdoLGX37nkcOlSCWl3HunXxREeH2dwL63sdHx/JuHHOtfRMMkw5fc6qFSkGc2CLTCZe52/o\nsBA5mNfZNRoNn332KevX3+gCeRcfRhLYXQidTsezzz6NTCZj3bp13TRKtgnkYFnXMykvscK0FqVj\nX9JIatVmy7pi3q9ngVlrZWm/RiG1SVo3pzO46iW3HaicT4Xm5qYkIsILNzfFgBhnWlvVtLSEsH+/\nHkGIwGBIZ8oUHQsXjkGpVNooS4lEilarZsIEGcnJzVRWShAEBY88EsuGDSlUVupQKleTmqrh5z+f\nTE1NI5s2NZOTI6GzM5DW1qMcOpRGVlY+s2d7cfz4LrTalbS0tNPRUUxl5WxkMjVy+Xk0mjrk8jTi\n40tYsEBJXd1k2ttBJhuNUlmAj08ObW3uSCQTWbGijAkTgtBqdWRlVePp2cj06e34+Wk5d07KHIZ1\nQgAAIABJREFUsmUd/O53lyCTGfnoo3Q0muk0N6s4ffow69dP49JLY/n++0yOHv0dUqkXb78dzpQp\n0eTlHcBgyKOuToHROAE/PyknT5ZQWChFpzvG+fO30dR0mMhIKdu3Z5KQEN6Vk2ce0Hve65df3sNn\nn51h9uzIHoVrBwJbrldXPK/WJAiucYqJKe+srAzq6xtZtOhSl8i82DCSwO5CHDt2hPb2diZOnNhV\nfkXMNekoZaEnek9ZsC5BRHdbT9grVfMx9AxqsU5a/993G8FA1nzCwvwpLDyETKamtDSHyMjVVFXl\nkJNTSUNDB2lpY3j33RzOnq2mo6ODiooYfH3Pk5gYh0KRSEpKAh0d2UilMq69NpadO39kzpxYZDIF\ngiBFKvVlwoR2lMpT1NWNp6yskaYmNd9/H0p7+3jy878DqunoWAwcpLRUQ2CgNwEBngQHf4tUmszE\niV4kJJSQlVXHuXPv4Ot7JZGRHXR0HKKsrIyWlmbuuUePIJxAp0tAJlvN3Xcf4scflbS1LWHv3jfY\nt6+IgIAjCEIk8BVy+W9wczN2u9rUaj16/b9RqTT4+6/j1VePkJ0dyOWXG9mwQYlCUYqXl5L770/A\nwyORmTNPU1e3k+nTvfnTn86Sn7+SysptbNy4yGFlj+rqap57LpSOjlRGj/6M229fMuj7bQnEclW4\nf8/3xOkSRN6JjIwsUlKc6xYegThGFN8QsXv3dwAEBQVbtVpbYz0VVf9LEJmVVW8liMSCWKwDQCTY\n5vjZKz7XFoS1za1zzUCi0+nQajV4eHiye3cRBQUSLr3Ug5iY0D73a26OIiYmFonkG7TaWgShnpdf\nDkciSeLYsa/JylpOQUERgnAOhSKV6uomkpNTUSo/pKamFonEJOO55w6we3cAhYWZJCT48cEHrSQn\nt+Du7ktIiC9hYQoqKxuYMCGahgY1+/c3YDBcjVb7LoLggyBoEYQ2KitHIZG04+k5hvHjl1FRcZTf\n/z6RTZs+Z88eT+rrq5gxo4LCwjQ0Ggm7d2cgkRiQSoNISsrAYMinqqqF/HwtOt3fiYgIID19PMXF\nmXR2LgYiGDPmC+67b04XZ6SB1taJjB8/heuu+xGtVs1XX5VTXR1IaamE3/52Zte9k/DSS/lUV2ex\nYsWN3fdy27bt5OV9TWtrQ9f9FldKgYGBzJ9/iJqaQhYtmjzoe21Z33NdkWQL+4/r8ujErlNmZgZ3\n3/17l8kcgQUjim+IiIiIJDl5MlqtmdlBTFFZw7qtt6hPa0vRcQSbY9oy8WOwj+Z0faUE51qU9fUt\nFBe3kJgYhErljsFg4I038mlr82HNmg5yciTodBPIyckhxi5fvaKinm++qWXCBCWzZ8egVCpZscJI\nVdUpli6dy8GDeXz+eQTl5aeIjVUzd+5oNJosPDxKiYiQ09r6DVOmKAkKykYiiaWtbSa5uRnMng2n\nTinQaBaRmfk5335bRkPDjRQV/YvOzlQUimK+/jqom9kEoKysnrff3oZEosFo/By5/HoE4TOMxnhG\njVKyfPmP1NV9zurVSRw5ksVrr7mj1V6Dn9/3fPFFEXp9LQZDAFLpLYSGbueSS4L5wx9WsXz5Nh59\nNBaDwRulso7KymMIwnG8vOrw8jpCR0cbM2d6k5wczfbtJ0hNjSUpqYXz548xbdoodu48g5vbelSq\nLDo7a/jNbw6wceNoRo8OIyVlDAAGgw6tVsv335/kV7+KpqDAnaNHp3PwYBapqeMBM0GBmXDdVO9x\ny5Yrup6FwT8HrvYegCVK27UeCvNav+VaFBUVMnZsrEtkjsAWI4pviLj55ttYunQ5f/7zn7paesut\ng97SE2zdnOY8P7EcP7FoUay2t+/HSrrNyzwc0XHOtSgPHmyloyOGtrZC5s+PRK/X097uBYTT1FTG\nggVuFBScYdasnhnr+/bVUlw8haqqk8yebWpLTTVFJTY0NFNd3YG7+1RmzmzlT38ah1KpZN48EIQU\n9PpOTOVvTLmC8fEVfPbZDtLSRrNzZy4LFhjIy/uCceOM7NoVRFvbWwQGlqLTbcPX1w+VKhKj0chf\n/rKXykoF99+fSGtrHeXlq8nJeRa9/ltCQydQVXUMlaqd3burKSmJITv7C/z9FWi1HkAVCkUdOTk3\nodfL8PL6FkE4yv33JxMZ6cHatZ+TlydBpxuDQvExXl4ywsPn0NpaxqRJviQlufHee0Xs3z+ajRs/\nJyvr58TH72LLloUAnDlTws6dJZw710RYWBW5ubOoqkrgD394nXfeWY+7uztmb8Lmzcf57rtlJCd/\ngZ+fDzpdG+7uct5//wQzZoQzbtyoftzN3rkyxdlOXK/4BuM2H6AEU+9W59DW1oZK5eGyYJ0R2GJE\n8TkBoaFhVFdXd32zdXPao2ebmLJynOMnvgZobd3ZFp+1Z2+xTVp3rZvTJMO5A1VAgJHm5jKCgkyP\nrlKp4OqrZTQ0FKFSKRkzJoCkpJ4cmwCpqX7U1GSSkGC5B3q9nlOnCvj3vxUIQgSzZ+9jxgyT0jMa\njTz//DHq6uSsXClHqfRg+vQ4JBIJ+fkNFBTM4bnnfiQkZDF6/SjuuKOOf/yjBI1GR3CwAp1uCSpV\nICtXnsbHx5eWlma+/NIHjWY6U6f+wIQJMvbseRudbhmenhWMG3eS8vIoTp/2Q6eLAPyorfVDoZgI\nHAEOExOjJyvrGxQKb8CTtrbzPPxwEypVFaWlD6DXf0F4+E4uvzyMmhpfZLLzeHr6U1JyLc3NH6PR\nLMFgSOL8+WcQhDI8PCz5ju+8U0l6eixG4wz8/A5y6aXlPPvsWU6duo2PPtrDLbcs7N7Ww0OO0VhH\nQICKv/1tCgaDnrfeOsPu3Zdy/PgeXnzRNKEYLLtPXzCX9BkKV6YYhjdVwtL/qVMnmTRp8C5gR2ho\nqOeGG67hqaeeISVlqtP7/1/FiOJzAmQyWfcAL55bJ/ZW94ev0xr9oS2ztxLF1gQtgSCud3Oaokqd\nOYjMmRPF7NkWHkOj0UhUVBBnzhSRkRHLqFF5bNgwQXTfmJgw7rzTNvz+m2/Oc/JkACUljURH+zJl\nyhgiIkzWYkdHO9nZ4QhCNP/85yFiYydhMBRy/nwr//lPAzqdhthYPR0dP+Lvr6C21gO5fAHl5afQ\naPS4u6czceJUxo8PBKC+vhl39xoUikMoFDq2bYuipSWQ9nYVWq2csjJvQkPdqa6uAuYjk23F01OH\nWt0ORODmVs3o0Zfg75/LiROhSCR1NDSMprx8OdHRWwkPfx+Fooqf/3wCubmtFBQsIzR0P2PGdFJQ\nUE5ERBC33FJAfv5JnnzyRlpaWhk1al73tZg6VUl5uQZf3w+54YYUZsxIJSdnB3V137JggW1C9b33\nzmPlykLi4uZ2R2iOHevOgQNHiIzs7Pdkqi9yadu2nuQGg+PKFFeMppJTtuw+roBYFZTMzEyXBLa8\n/PKLRESI56RezBhRfE6CTCZDr9cjl5urQou7NC0vr7WVZl2bDwaylmft5nTM3mJptK/EAHSz3Dur\nCoMZjiL8hgpb3kSTDJlMiiDokUoHZjoIAvj4BLN8+XkEoZynn1awYEEd69Yl4+XlzTXXlFBWdoi6\nOgUaTQV1dU089VQ+ra3J+PgcRiabgZ+fnKAgGTNnjqGk5BiHDuUhk/2cmJj38fDw4LvvBGbMqOK5\n5zpQqZSEhhYTFzeB4OAS9Ppq/Pw6CA2F4GAf1qzR8sYbE6ioOMC8eRvw9z/K+fNtVFaeJDk5gNtv\n92H37mh0ujQaGt5DKnVHLn+Z++5LoblZyvffX8WBAx+TmxtHdfW/iI/XcNdda7nuumrCw6egULh1\nD7iBgf6UlVVz331ZeHnpuOOOOG68Uc9ll13bfY1feuly0esmlUqZMCHO6joKLF8+gcWLO1GpvAZx\nL/smKzBVSejsSsex5MsOnSuzJ8y18Ry7Y03/B/NeOApsWbHiij73HQjS04/j6elJTMzIuqE9RhSf\nkxAePoqWlhYCAgLo29ozwzo9QcxFKraW15ubU6xva7YWS+Fak1KyXRt0VhUGc5ulurTEapbrvJm0\nNfvFsmXxJCRUEBER1+d+1lixYjTnz1cQHDyeO+7IprJyMWr1ftasMU1ili5N6KqWbcRohDffrEev\nT8Jo9Ecu96OzczSFhTtIShqHQqHghhtSSUsLY8eO7YwdG8MXX4RiMFTT1NRCUVEOzc3uKJXJfPCB\nJ4mJjezZMx6dLhIvrxM0NKyhpmY3zz7rxf79QZSVNTJjRhB///sCSkurKCur5YUXapFIOli0aD8l\nJWNoa7uM2NgjrFmTzHvvncBgaEcuF5DLQzEY2igtnc62badYvXoSYjmdhw+fJTd3FUbjac6eraS9\nPQ21+hgrV6bwyCP70GolPP74DLy9+1Jmpvvr5ubuwqRyC7n6YPhj+0O2bnlmTX0Pzh3rSBlaT4ZN\nfWs0WhQKBaWlpURF9Z8svS/o9XreemsLf/3rs7zwwrNO6/dCwYjicxIiIiKtimpav4m95fM5jvrs\nuwSRfaqDo7ffso9cbkkaNoXPg1zuJpJe4ZwqDGb0tDL7rsIgvnZjd2ZWRWclEgljx0aIH0AvkMvl\nxMZGYDQamTlTytGj27n8cp9uy90sQ6k0DeiLFgVw+nQuOl0J110XyTPP7Cco6EpiYrK6jzM2Noo7\n7jDV44uOLsLLy4MtW0ooL49EqYyjpeUkEkkzhYU1aLV1wDH8/X1obz9GbKyKqVPjmDIlFrVajUo1\nil270nnqKWMXV2YQ7u7+XH65FyUl9fzhD2/R3i7DYEjkxhunkppazNixq8nLK+G112pRq0+SlBTK\nW2/tp76+k9///lKb5PEVK6bx9ttbUCqN6HRh6PXF+Pt7kJtbyN69M5FKA9i/fx/Ll4tU5BW5F8OT\n+za4yVNfytKSemOq8Wfd3vVJ1B1rvY35veh7Einw4497eOihhwCTx+iGG9bi6+uLt7cvq1df1e+K\nDF9//TlfffVF90RXIpEwc+YsVq26Ck9PL7tzGAGApLcLUlvbOnK1+on33nsbiUTPsmXL8PMLsrK2\nLOWK6KYwMysredd2eiwKytxmxDpQRSJRWG1nZm+xpjszD9SWKhESiawrqtJoQw5tLuJpHaU4FIi5\nmEzsGsauwcaiqK0HhIHD1ro0W61mZpXBuJ3a29uRSqWoVKoev1mKndpOEMwwGo388Y/7qa724557\nfJg8eUz3b6dOlXLoUBvNzdWUlwfR0JBPZWUYzc1lhIRICA9XUla2nrNnP8TbeyVXXrmLBx9cjEKh\noLOzk2eeyaCz05SPeOut52hv1zJ27DhCQ3Nxd5/Aww8HceRIIZs3T0atPs7tt8u5995LRM/5zJls\nVqxQIAhx3H//Nu64Y1X3bwcOnOLhhyciCHoeeSSDhIRowsPDugisf0SrhY0bZ6NU9v6c6PWdCIKx\nq4SPa2jversXzpFh7BG9O7T+en8vyssree21V6iurqayshKJREprawsGg4FVq67kgQceGrTsX/96\nQ3faRHl5Gf7+/jzxxNOMGTN2yOf1v4LgYG+HD8lFYfFptVpuumkdN998G8uXi69ZDBXNzQ18+OEH\nBAYGsmTJ8q5Wa2vPvvaeWAJuXykLYtYj2FqJ9vv0nCU7O6FcbCZtlmGiQespZyDWpe06Tc9ZtEmW\nPc1b99H1UIZ6vYG2tjY6O+Hdd9VIJJ38+tfB3ZXQ7e+Bo+AcqVTKU0/NpbCwlFGjQmx+27WrjYqK\naeTlfUNk5Aw6Ogrx8ICiIgO1tR5IJBW4ux9k1qx2/P2Ps2rVuG5LrLS0ih07tGi1Mlpb0zEYbkap\n3M2tt5azc6cb58618c47pTz66BJ2795KaelasrOL0Ov1olRgHh6euLunYzCUER0dYPNbaup4Fi36\nERCYO3dO9/5SqZTf/36Bg2tqi8Ey5wwMvd8Lp0gQCToZCsTfC/OatILRo8fw5JNP88ILL7B27XqW\nLVuJ0Wiko6MDT0/PIcl+5ZU3uj8/+eRjrFix6qJSen3holB8b7/9Oj4+vi6VceLEcQCmTp2KZS2l\ntwhPxy9X/0oQWb/84oEvFkhtouyGg63FvPbmaCAcao0/QTBgMOiRSCRIpTIHUYCWNrVaTW5uBcnJ\n0bz2Wg6lpdGkphZgMEwENLS3d+DmpkCj0aBSqdDp9Jw6VcTEiaNRKt263LU9gxp27jzN9u3RSKWH\nkUrbaG9XkJYmw8NDj5dXOz/7mRta7UGys0dx5owbMtki9PpaIiJCuOceb8rKYpk3b6KNay0kxA+1\n2hu9fiqJiTrGjNnN2LHeFBdLycoKw2Bo5OhRbx58MJ8rr0ygouI0Y8e6iyo9QRCIiAjjgw8moNEI\nzJ6daPO7RqOhrk5LUBDd7t2B439PKYnL+GlyBDMz07n22usB04TDy6v/wUEjGBwueMVXUlJMSUkx\ns2fPdZmMqqoq8vPP4ubmRmBgIBbLZKAliMwQbLaxrOfZt3W1iFqJ4tae2f0xPJRPzh8ILWkMQpcM\nebcCz8go5cABA8nJAvPnW2a3giDwr3+d5vjxQNLSTqPReKFUjsLTs46rr25BoZAQFBTCe+9lk5cX\nwNKl1Zw920pGxjSSko7z619P6iZG3rkzB5kMlixJpLS0ltdeK6OyMgSJpJ2Wlji02vHs2vUZSmUc\nU6aU8tBDS5BKZdTUNJKefo49ezIoLdUxfboH69eXoNd7c+WVW9mw4VJGjzalWnh5eXPttW1UVu5n\n2bJEIiJM1uTPf/4lMtks5PKjhId709Cwkry8g1x2mQpPTze++OIgs2YlEBISQENDEy0tbYwebUok\nnzQpVtR9t3XrcXbuXINUeppbb62gs1PKY4/lEBLSyVNPLe1XoMrwru+5krHFtRygjujWqqurCQtz\nfhULM/70p0dd1vf/Ki54xfePfzzPvfc+wPbtX7lMRnb2KQCr4Bawtuzsk8h7c2na72tRevaKz26P\nXiI+rQcvS8HZ4UhaH97E+LNndWi1iRQUnGH+fMu2poTzViorZ5KRUca0aU3Exf3IihVpyGQyGhqa\nKS2tpalJhVI5nvr6dBQKOefPZ1JaqiYpqZiFC+M5ceIMDz1Ui16vYvPmdAIC/AkImI9EcpKIiA7y\n87NpasqktrYCtXopZ840UF9fR2BgIEFB3ixdmsKSJQIdHR28+eZ+6urGoNO5sW3bRKqqzvPSS/5d\nVhPce++s7mM3J2rfeGMsOt0Oli2LIzU1gj17DhAY2Mp9942isvJ9VKpfExb2PtXVITQ1VREZuZjH\nH89m1qxxDhXY6tVTOXLkE4KCICxsCW+8sZcTJ67A3f0Yzc3N+Pv79/teuJJ15KdSSs6XYfvM1tXV\ndU2WRzCcuKAV344d25g4cZJLZ1MA8+bNZ9Omv/P3vz/Z1dJTUdnm2Dni67R3c/Zcy+sfN6dtqoK1\nS9M6JNwVcFU1d3sZiCTGL1gQwOHD2Uya1NNVdO21Y9i2LYuWljaOHl1DSMhh1q6VodVqeeyxYtTq\nKK6+uhq5PJO5c2ORySRkZx9Cp1tCQUE6ixdL8ff3RKcLRxDG0dJynKVLE7j11jzc3EKYPHkaRqMR\npVLJgQMnefrpHxg1SolK5dlVrcF0Pz755BQff9xIdfU8VKqTwGFqa1egVlej03WyeXMGLS1y7rpr\nDCEhtutxCxbEsmCBJScrLi6YY8fyqa7eS2PjNajV3yEIzdTX34lG8zmdnb6o1XWUldXy7rvnmT7d\nh5UrJ9n0GRjox6uvXtb9/brrUikq+oyoKDf8/ftXENX11dDF77dzZfw0VmtmZsYIo8pPgAta8R06\ntJ+KigoOHNhHbW0NSqWSkJBQpk1LdaocpVLJ/PkLee21l2hpacHHx8fqV/tUAQt6Wmm2CtPRWl7f\nVR0cVWIQuiPKXD+rdV01d4titR2kQkP9uOIKP9F9Zs0aS1qawO7dSj755Dhjxui6j1cQJAiCHD8/\nb9LSxgGmFIzbbx/DiRPHWbw4imPHzvHaa1WsWlXLpElq1qyZA0BFhZba2jo++6wNiUTOvfdGMm9e\nCtOnj+eBBw5z553FPPCAP0lJowHIyWmkqMgPjWYbM2aoyM5egEIxiuXLG2lv15CVFYdMFkN6+n5W\nrgztM9hnwoQwFIoTyOU+TJrUyOOPL+FPf3qd4OA2brklgNmzk9m8+Qi7d6/k9OlvmTWrnl27slix\nYioeHh490kY8PVVs2rSI/uZe/lQUX86XMZxriNbre5lMmTLdZTJHII4LWvE99thT3Z/ffPOfhIeP\ncrrSs0ZERCQVFRVWis9RMnpvyso++EVsP7ESRKaAGvuEeGt3o+XFc50L0hI443q310BlSCQSFi2K\nZ84cLbt25XPmTBmJiZE8+GAkjY2NJCSMIyennG++aSU52ciCBTHEx0cjkUh49NGDZGRcS0jIVzz9\ntCmnraKikh07RtPZqUevb2PUqCBOncojPj4KHx8PampG0dmZSHHxcRITo9my5RjFxVUEBaUSGurB\no48q2bIlk6CgBtatuwyZTMY112Ry4MBxjh4NJSamgqSkqD7OSUNk5CRUqtP85jfjSU6ewFdfJSAI\npvstCEYuuSSYs2d3kpys489/PsaBA1eTnv4pmzYtcJh7KSKpR2CPSTlavBOWgCZnExVcGGuIYpZx\nVlYmN9/8S5fJHIE4LmjFN9yIjIykvLychASzi0gskd0a1u5Js/JyHBDjeF3Qfh/LCyaTiZFSD8da\njKuLzkoGJaOtrY1vvy3k4MFUDh3KZNMmgdDQAEJDTW7FgwebKS+fRlvbMRYutExcJk/2IS/vAImJ\n6u6+QkKCmTw5E7VaSlqakpqacl5+OQqZrI4XXgjl7rulVFcfY/nyFKqqqvjmmxjk8rmkpn7E3LnR\nbNiQS0NDBIsXd3avD1966Wh++KGd3NwF/P3v73Dbbe3MndvT5bh37xlkMilz5ybw/PPBNDS0kZpq\nu53BoEcQjMycOZ5Zs0z9P/TQtxgMJfj6ypHL3bBNEemZd2YfHWuxPu3viwG93j6lxDGDyUAIpYez\nkPFwu+fr6+tH1vh+Alw0iu/WW10/q4qIiKKystKqxdo1aW+lmf6Loz/5fGIRn+aBwWTx9YzmHLzC\n6A9cQUotLmNgyvvzz89QXAxjx3awY0cwcnkpnp5KRo3q6HGcCxb4o1YfIzlZZiPjV7+ai0Kxj8zM\nWD788CTXXTcJuVzOXXdZ3FTZ2UV8/LEckCEIAmlp4+js7OTdd7Pw9ZWi0WRx7pyMKVN8GTXKE4Mh\nlY6Oahob0xGEueTnl/H73zfT1KQlJOQViotv4tln80hJaesOca+qquORRw6Sl+dLVFQyYWGlxMVF\nEStCxyimMNLSgqmry2D58phuN+dQKL/MrDzmez5wBhMxWFuU1vsbul3//WH26T9+GjdnVVWlU+MP\nGhsb2bTpUTo7O9Hr9dx55z1MmJDU944XIS4axTcciIyMorhY0/VNTHlZB6vYR332zPvrnZvTXvGJ\nybNe3xu+yDtXyhiMu/bIEQVG4yRqa7ciCGkolS08+WS86HHGxobzq18Fdq2FWmRIJBJ0On+k0qmc\nOvUD0dF5zJoVbzOQJSWN5cknS1EqfQgNNVV42LMnl0OH0mhvz6elJQ6DYSm7d7/Nxo1j+O1vD/Pi\niwrKy29jx45MgoM90Oki8PLy5PbbvXnzzXSCgppxdx/XLeM//zlDRsZ6mpu/JjHxHAEB8Q6uk/VE\nx3KMX3yho7Dwaj7/fBdTpw6MvNjeSrNeF+uN6UTMkux/VQYLDAY9vWPg9f2sj2U43JzWMjIy0p0a\n2LJr13aWLVvJpZdeRmZmOlu2vMLmzf9wWv8XEkYUnxMRGRlFS0s97e3teHp6W/1ir/jErLTe1gCt\nIR7EIhb4Igh6dDo91grXlP8mnow91Bm0q1MlLFyKpmPMyipl1652pk+XsXDhOIf7XXopFBYeZ9Wq\nmWRnZzJmTKBD5exIYQCsWzeaH344xI8/Gtm6NQG1OofFi23di+PG2a7JCYKBY8f+hVyuZtUqXzIy\n3uWmm8YCAitXTuGrr9Kpqsrl4MEybrppKg8/XIlKpWTKlFQWLtQjk9kGCS1ZMpqMjK9RKivYvPlq\nUao183mAZRJy/nwVjz+eT2NjORMm6FixItjh9eov+uuCHAqhtNForrtnssCdX9/P+t0wMyvZvgfW\n1qXt+fQf4hGdmcyZM9/RLgPGunU3dH+urq4iJCTUaX1faLgoFJ9Wq2HTpsdoaKhHp9Px859vcElC\nu6+vL88//xzTpk3j0Uf/DNi7OXsGp9gyt9tH0dmnOpjTFMQiPqV2+5hn5WCrQE1VBvqH/s+ghyMx\n3tolJZFIOHq0ndraKRw9msHChT23Pneukq1bWxg7VscvfjERgLCwQFpb23n11ZMEBUlZsybJziVs\nujhbt+aQmwtr1vgTHx/Gf/6TQ2ioG2vWTOLs2QwOHtxFbq4XNTXprF/veNZeWalHoZhEZ+doZLIC\nPv10IkajnqKicl58sZoxY4zExNSQn7+et9/ey6ZN07r3FWNSkcvBz09HScnNvPnmPu64I61LTh0v\nvXSGlBRP1q6d1mOgPX68mMLCJUgkubz6qgchISE9+h4oXLn2Zm+NyWTyfj1XA6vvZ/7cvbdddYZe\nj1B04uhoMinm6szKyuLXv76rn/L6h4aGeh544B7UajUvvPCKU/u+kHBRKL79+/eRkJDI9df/jKqq\nKu655zcuUXxHjx6ipaWFiIgIxCM37V9cMSoz6xfeftpqHxVm+d3ezSmVKroDW4xGAwaDDolEhkwm\ns3nhnT2DtpAJ929AGIiStM9BXLTIF6MxnenTPUS3z8pqpKlpGidPZnHNNZb2gweLyc+fSU7OOZYt\na+vm6DQdv5EzZ87zzTfl5OTEkZmZzW231XH06Bz0+nzmzGlj48Zk/vSnI5w9u4Tc3B96PeZrr53I\n2bPfUVnZwMSJ3t3ncfp0FRUV0zAac1i7tp2ysgNMmND7tdi7N5u//z2E6motoaEVqFQlXBdIAAAg\nAElEQVSW5+f993P47rvLycjYydq1PZXSqlVTKSv7lpAQFSEhzgmfH46k8oEGnQzUurR+Xs3VS1xR\n38+M0tJiXnnlVWQyGRqNmk8++Q8+Pr74+voyefIUQkPD+u4E8YoMGzb8ktTUNLZseZfDhw+yadOf\nR1ydDnBRKL7Fi5d0fza5APr3cA0U33//HQALFizAopSsLTD7QrFia3k91wAt/diXM3KkLO2jOa3r\nmEn77W6y9GmS1dv6jCWs3V6Z9keKmGvJ1N7e3kFGRhnTp49BqbQt+xQbG05srOPggMWLo+joOMG4\ncbbuwJkzozh79ijBwQKenrb7HzlSwPvvR1JdfRqVKhgvLynjxslJTz+Cv78OD48IpFIpv/lNLN9+\nu5tly0b3embt7Rrk8lAmTzayalVS92A+Z84YNm/egVodwhtvlBMTo2L9+st67UuvF5BI3IiLC+LB\nBxtISrKk5ixeHMHp09tJSjKIumuVSiV33TXPQc8Dx3Dk7w1P0InFJWyWM5Rgn54KUbB5H6qrqzl4\n8AA6nSko6K23tnT3N3nyFF56yfK9N1x++ZVcfvmVNm2Zmem0trbi7e1NWtps/vKXR/p3IhchLgrF\nZ8avf30rtbW1/O1vzzm9b4PBwOHDB3Bzc8PDwwOLorC30izoPcfPEXuLmCvRVsn2TFofPJNKf2bQ\n1rNmhcLNwYDQl3Vp3Wbp+/33Cykrm05h4XFuvNG0nmYwdGIwWB+TuHXp7e3JDTckYHbFms/Fz8+H\nO+9MFjkPI0qlFOhg0qQ4Fi48T1iYH+PHj+URuzFk7Nhwrr5agZ+fbcK8wWDglVcO4ukp5+ab0zhw\noJD8/AUYjWe5/vpaDh0qJiVlFF5e7gQFxVFe7k9NjQ/QiVrdYWN9mrFz52lef72D6dM1PPGEktDQ\nOMLDbdfopkyJ4e23Y4DhSVu5cHLrBi+jv9alwaDDaDQgkymYPn0mO3Z8y1dffcG5c0UsWbKM5uYm\nmpubSUwcWgTm3r27OXs2j2uvXc+5cwUum+BfCLioFN8rr7xJfv5ZHnvsYd55599O7VsqlbJ27Tpy\nc3MoLy9n1KhRWFttPZWOoyrtfSlMMVeorQIVS1q3rVrtXNhHjA618oK1dentLUGrrcHX15KqYb12\nOXB3k+PcMkEwMnnyaP74xwZ8fMbg7e3jqBM+/TSLDz4IYvLkIzz88Jzu9p07j/PRR4sQhEouueQ8\nS5ZMoLh4D+fPl3PLLRp0uvXEx+/nxRdn8fjjbdTUVFJQ0Mro0b6iSg/g5MkWGhqWcubM9zzwgHgU\npzX+2xVGf2EhIv/vLW7bPxm2lqu7uztnzuSwdOkKpk51HmvLzTdvYNOmP/Pjj7vR6XT8/vd/cFrf\nFxouCsWXl5eLv78/ISGhjBsXj8FgoKmpqcdsfSiQSCT85jd38cYbr1FeXkFqKvS/OkNfJYisR3Sx\nKFBb9hZrN+fwstoPLZpTTGFef30yK1c24+U1HhCQyxU9LNquT/22LvtSluZkdnPhU/MxZWae5/Tp\nJq6+ejy1tWqk0rE0NZV2V+2WSGDatDji43ehUhmIiJiLu7s7d989g7Vrj1Be7k1nZxbjxjUgkUhJ\nShpDUhKigTnW2LAhCXf3naSlhXHwYD7ffdfAVVeFk5wcLbr9hVDJACznIf7+/G/IcBQlfOrUKe67\n749OleXr68ff/va8U/u8UHFRKL6srHSqqir53e/uo6GhHo1G7VSlZ43IyGhyc091fRNbg7OH9Vqe\nYPVn2c8ajkmqe66H2Ib/u5L1wnWk1FKpFD8/P5uAGWs4si4FQeCLL3JobYW1a2NQqdx7HHfXp+51\nGKNR3yVT1v17Z6eWL7/MJyrKg3/9q53m5kswGHbzs59NJDx8HykpUd1J3AABAZ688sqs7mM6fbqA\nv/2tDL2+mJiYQGpq/KmqGkVLSzPe3t5Wx206eKPRyBNP7KehQcEDD4wjIiKYgABf7rzTZFXeffcx\nzp69lM7O70QV3/CUnXL9+t7wycClMizvpaV/o9GIWj30YrMjGDxcNyX8L8IVV6yhsbGRO+74BQ88\ncA/33feAy2RFRJhoyyxwxNeJXZv1oO44ehPs3Zxm9LS6hocw2uyOGh5Xan9k1NXVUVNTw8GD4eTn\nT+HEiWLR7Y4fLyQvr8Lm2KVSGTKZArlciVyuZPfu8xw9OputW2WMHduOl9dhkpICcXf35PLLpxMZ\nGdZdE9ASPGSO4BXYs6eYM2cup7FxInfdFYG/fwRublrAiMGgw2DoRK/vRK/Xotdrqa2t4tix0Zw7\nt4gDB/LR63Vd2+kxGvXMmycjOvp7LrnEyypwAk6dOsfu3RkIgqmCt0ajFT1nZ2B43IMXhrtWLHG9\nqOgcMTEDIw8YgXNxUVh8bm5uPProX4ZFVnR0tJ3isx4cxMil+1OCyFFaQ08rUSq1zkkbjiAH11qU\nJhn9G6CMRiM7dpzhk0+CiY8vZOpUb1pbK0hJGdtj28zMIj75JBpBqOXBB1vw8lKJykhICOTw4ROE\nhmq44455Ax7sb7hhBjU1XxEf78GcOZMYO7YKb+8JeHmZ1w9tQ+UDA4O47rp0ampKWL58EiaaLkt/\nq1cnsnq16bPZFdvU1MTtt9fS0jKB3/72a957zxulsoMPP0wlKChQNO/SdK6DU1zDq5QuPOWanp7J\n5MlTXCZzBH3jolB8wwkfH1+0Wtu1IRCz0qy/W9OW9bUfOKq9Z23ZmVx3rif3dbUM6B/xdW5uGW+9\n1UZ19VmUyim0t1dw3XUTHW7v7++JVFqKm1sHbm4BDmXExobzxBOD51P09/fh8cdNi3g6nZbw8BDk\ncrdeB/Sf/WzWgNYu5XIFbm4tyOVVtLVpqKlZjFxeQ11dIwEBvn0c4cASsU3P6YVijQ2ncrVOXM/g\nqquudZnMEfSNEcXnAqSkpKBWq1GpVCJWm1gJot7SGuzdnMYebd172AwSw5VnNRyk1H3LKC5uQadL\nITBQYPny4yQni+fXCYJAZmYRgYFePPxwGHK5HIVCgV6vHdR5aLVa7r9/HxqNjE2bUggKEq9YPtA1\nq4FExvr7B7J1ayrNzW1ERl5BVNQxvLzcmTBhqpVssLcuh5KIDVgRVFsf69Cty+FapzRdi+GXkZ2d\nzYMPOp6UjcD1uKgU38svv8DJk1kYDAZuvPFm5s/vI5xukKivr2P9+vV89tlnVoOWmJU2+CAWi5Vo\n+cXapWnJ5XJd7T1XV3O3ldH7zP/SS+MxGtOJjPRl0iTHNeyOHj3HJ5+MQS4v5tFHfVAqld1BLYOx\nLkpKKjh+fAoyWRjHju1n+fKZotsN1IJpaWnl7bczSU0NZdasvlMYAgL88fPzwWDQsXbtLGSy/r/a\nA4uMtSYqMHb976+k/lmXw0ka7cplALGAM71ej16vx93d3dFOIxgGXDSKLz39OMXFRbz66pu0tDRz\nyy03uETxtbe3k5mZSWiohSC2Z6FY6z0cr+XZujlt3Zpi+X32kWPg6sFjONf3eleucrmcFSv6nkV7\ne7thNNbg5tbRXQNvKFUl4uLGcOuth2hry2bp0jkOtxtoUvnrr2fx+efLOXBgV78UHwzePTgQ69I6\nGdsixzk1/exhNBowGo0O8y6HYl3+VK7U/PyzjBs33qlyDAYDf/3rE5SXl2E0GrnjjrtITp7sVBkX\nGi4axTdlyjSSkkwDo5eXN1qtxobNw1k4fNhERxQTE2OVg2evrCQ92nrn5nTM6Wn5LmAw6G1kunrG\nbLp+rg03N5UHcp47KjExiocfbsbdPQCFQmGXZzU49o4NG2aL/tbW1s5XX2WwcGECgYFe5j361e/k\nyf7s2/cdCQkd/T6W4cyts73vQ6vpZ2k3fbYlih56TT8x69KeYs8V10zMcs3MzCQlxbmBLTt3bkel\nUvHyy69TVFTIk08+xpYt7zhVxoWGi0bxSSQS3NxM7oWvvvqctLQ5LnnYf/xxNwDBwdaUUo44NsHR\nWl7P/XpGfNorS7PLzgxBMPZIwh5MvTIxuDo/EFw3K/fzswR8uLJO4TPPHOe771Zy4MDXPPdc2oAm\nCYsXJ7F4cf9lDVfe21DX3vpSlpbcUxP9nXV71yenWpfWOZjiz7/tu2BbTaX3d0TM4svIyODGG292\nuM9gcNllK1iyZBkAfn7+tLa2OLX/CxEXjeIzY9++PWzf/hXPPeca1vKUlGlotZ10dKi7WmxLCZkg\nEWlzHMTSk72lZ8CM2W1nnYht6d96MHDOzNkyK5d0W0zmY3UWnMUI0xsGkioxUOUYEiIDzhAQYEmM\ndxUulEhLsXUx03fnWZdGo7GHm76/rD7iEFunNPdpendraqqRyeScPZtHQkJifzvuF2QyWff7/9FH\nH3QrwRE4hkScTcSE2trWAcR4/ffjyJFDvPHGa2ze/A+8vLz63mGQKC0t4amn/syLL76IRclJuwdw\nQdDbtJnugX11afOannkbI2BWNvIuZWjqRyqVdwczmKy8ThxVxe6LUT49vZJTpyQkJuqZNs2ab3Qg\nGPrM2UJ8TZ/h/0OBTqcFhF5lfPTRCT74QML8+R3cc0//y1mZBrwa/P19kUhcex56vQ5BMCCXK12m\nmKzX91ylxM2J+jKZHKnUNfNyc5ku6/fGGoOxLnvD0aNHuf/++7u/e3p64uPjh6+vLwsWLBqQBdhb\nOaKtWz/i0KH9PP30c92K8GJGcLC3w5ftorH42tvbePnlF3nhhVdcqvQAwsLCqaqq7vpmu07Xewki\ns4LorQSRtQXYc3bcV6BGXzPn2loJSmUsdXXnul1N9i+6IBi63VFmOQPlwxSH9RqMpc2UxC2eUzYU\n9OUebG/v4IcfTrJ5cxF1desIDt4/oP4lEgkhISHddGsXCq/l/7pV2Vf+njOsS6NR37U+LSUhYQLX\nXHMN5eXlFBQU4O3tS0tLM4WF5wZcJV2sHBGYFOKhQ/v56183jyi9fuCiUXzff/8tLS3NPPLIH7pn\nSg899NiAH7z+wJQXZm3BOXZp2rbZr+X1NrhblJ61krO4cAb38M+Z409OTiHjx1u4TO0HAvO52RNG\n9zjCIa7LmH8zGOytYWv017rsqSz7ikp97bUcjh6dilrdgq/vPlatGvg1deUaoq2M4VnfuzAUuPPT\nJezfEaPR9F0mkxMYGMzdd9/HO++8zdSpM7juuhudJhegvLyML774lH/8Ywty+UUzpA8JF81VWr36\nKlavvmrY5EmlUqt1IeuXWCxlwdHLLhXZxgxHtfeGNgD6+nqRlubYIrZEQYodry2GMnPW6zsxu3HN\nayaO3LODtS4t+xi7ghxs12Hd3QU8PDQsWaJh/vwQVq1K6W/nVudzYVlJrlXgFoXk6kjhn0KBZ2Zm\ncPvtv3W6rK+//oKWlhY2bryre1K/efM/RpRgLxi5Mi5CSEgoOp0ONzc3HCsw21QHsRw/y3ZWe9kE\nvvRMWh+eAdA1pNT26Rj9ScQeSAK2xdIUrPY3iirMW2+dwPLlNURELEEikaDTaXsNkRezPoezRNBw\nKSXXyfjpgmecKqH7+bVVrvn5+cTF9S8ncyC4/fY7uP32O5ze74WMEcXnIowbF09tbS2RkZEibk4x\n2jJxJSfe5sjN6XomleEZyAemwAdjWRqNRgyGzm7lKmZJSiQyoqIibNqcQ+/l2BVrez59YyAW+FBw\noViulknC8LpS1Wo1SqVyZP3tvwQXRVkiexQWFrBu3ZV8+unHLpMhl8u48cYbOX36tI21YYL1QGc/\naIkFsYhv09PN6dxkb3sMR30/k5zhsGAslG7mCYSptJAp0s9UmshcnsgNhcINhcIdudyt60+JTKZE\nJlN0RTmKlSayPSdBMHaxkZgiF03lhnQ2ZYn0ei06nQadTtvV3tm9nTni0cxoYu4TLgz34HAn4A+n\njOzsUyQlJbtM5ggGhovO4tNoNDz//DNMnz7DpXIyMzOQSCSEh5uY/Xtfy+st+MVeWYpHcw41qKV/\nGO41mJ+24oMYBmJdmlMMZDKlzf3tf6BP/y1LQTDauWIHFujTe9+mA3C9K9W1xNQWOTA81rH1+l6W\n0xlbRjB4XHQWn1Kp5JlnXiQwMMhlMmpraygsPIe3tzeBgYHYruVJsXdtiac62H+3D5KxdXMOxzrP\ncJBSD18QxXBEQVoq01v+pN2WocmylNsUvu3bupR3W5c9JzlC98ShP9alybLszbo0dP+ZYE+k4Mzr\nNVxFYV1dsURcuWZkZJCSMtVlMkcwMFx0Fp9UKkWp7JnY7UwcOXIQQRBQKBRWrb3NNHuz9sQL1dqu\n7Q2XlfTfQ0rtHBm21/DLL0/R0aFn3boUJyjeoVvH/aH30utt6b0GVmnB3NY/69KsRG2Pqf+BPr3h\nvyF/zzkyxJVrcXERY8eOVF3/b8FFZ/ENByZNSuGKK9ZgNJpHEeuE9J4vXc8SRL25Qu33Ga6gluGx\nkizK1ZVrST0rJRQXl/Pvf0ezbdt0Dhw44wQZrrdcxVzetpalvXWpsLEuzZZlT+tS0W1dWk9ALPfe\nNAmzWJeGbuvSYDBbl50i1qV5HdPautR3WZe2pNGWvEEnXq2fSLm2tbXh4eHp9Gc6I+MEq1Yt5dCh\ngRErjOAitPiGA9HRY9i48Y/s27enq8XezWndZvouXp3Bnr3FAmslN9CSN4PBcFh7w7uGCNYTjPDw\nIOLi0unslJOUNPSyMcNhuTpTuTq2Lo0YDIYu5amw2Wcw1mVfUbG2pNHdR2e3Rmnb1l/rcjjr/FnL\nOHkyi0mTnFsmqLy8jI8++sDp/V4suKgVn6vWK8xQqTzo6OjAw8Ojq0VMydn/N6/lGbBXjtaK0ZTg\nbZ55mwZAc+0yZ9J6mTEcVuXwrCGaAzVs8xDd3d35y1/EywsNRsZwJkn/VCkGQ6P2AovVaCZWN1Hg\nDTXQx/aYenpGzHmbgwn06Qti1yszM5PJkwdOftAbgoKCefLJZ3jqqced2u/FgotO8eXl5fKPfzxH\nVVUVcrmMvXt/YNOmv+Pt7e10WZGRkZSXlzNu3LiuFkdredCXm9M++d26nlh3D0ZH1F6Dp/UyyXJ9\nqoRJznCsIQ6HjOGJgvxfVK62x2p6Ls2UdKbAHfFJT1/k6n0x+lhD3Kq0PqbBW5fiEZ0ZrFp1dS8y\nBw4TMcYIBouLTvGNH5/A//3fa8MiKyIiko4OcyHR3koQ2TK42MJ+wJFYVV0w8VgKgrFrwDBbgGYZ\nQ6f1si+JZC52a/ndcsxDGYCdUeutf3IulMr0F6JydSxjqMTRBoMBQTBgybEcWqCP3dFhodUzob29\njUOHDiCXK6mrq6Ozs5OGhnp8fHwHTCXWW0WGEQwOF53iG05EREQ5cHOK827aFpjFZj9rbk7zICAI\n1i5Iea8Dx1Cj/cztplJIvWFw0X7DE83p+qrxJjkXBsuJWPCM0yW4kHnGtvSVaTJiCtjp/XwGT65u\nwb59e3niiSe6v99007ruz4sXL+Gxx57q93k4qsgwgsFjRPG5EBERkZw6dQovLy/CwyO7WsXW7Ryn\nOthHfForhoHwZg5mxgwWai+THLmdYh585Wu7o+ve3rTOZyaMNv/mHMtyuHLFLhTLdbgjU/9bqj4M\n1ro0eV8MSKVy5s9fiFQqIzc3h9Ons4mNHUdLSzPNzc2MGRMzqHNwLNup3V0UuGgV3//932ays08j\nkUi46677nF4VGaCjo5UXX3yR5uZmbrnltq5W6yAWAXHFZ2sRWifEymQ9uTmHg63FHBLfrz0GsR5j\ngRFjz+VLEQxs3RKGJ/p1+CzX/731PXEZwxVp6drJiKlfy7uiUnmwdOkycnJyufrqa7nsshVOlXfo\n0H4++OA9SkrOk5eXyyef/IfNm//PqTIuZFyUii8zM52yslJeffVNzp8v5qmnHufVV990upwTJ04A\nMGXKFCzWkeMSRD3z+Wxdo/YJ18OR8zaYgXygM2ZzRWyJRIZMJnNaaLwj6PU6u0Fw4KHxjnAhlQga\nnoTvC8Mt7GgykpGRzrp1zq2/BzBr1lxmzZrr9H4vFlyUiu/EiWPMm7cAgNGjx9DW1mqXdjB06PV6\n9u/fi0QiITnZTE5rsdwcreWJp1iYZ8XWbk7xsHxnYriV6/+3d+bhTdXpHv8m6ULbpG26CaUIMkVA\nWXRUKDg+yoCgCGVww2FRRK/cwiMOCIM4DDMdLFQGC4UOoHVYRkUv7oI4zFwvio7oDHZhLy1lkUCh\nTdIN6JKTc/84OUuSkzTLOb+2ye/zPDwkafJ7T9LmfM/7/t5Fq9U6Ql7+vNa3/RjnLFg+jd5XK77v\nW5K9GOne+3sAqcbUJN4Lb8P5fVy5cgU33NBTRbuUQAhL4TOb6zBw4GDhfkJCIiwWs6LCd/GiCQ0N\nDejRo4dTGIRD7gvo6u3xr+Fn77mGOcllDqq9/xJow2juNb55l/xkA51OOjU+sNR4XwTTZmsLqoTE\nG6Gyv0eud2bnhGxra2uRkpKqmk1K4ISl8LmiRiF7nz43oqCgCJs3b0RdXR3S0tIgn9jieEQmzCl9\njucwJ5nRPerZ4IRd/ZOf+HkFmxrvaY+SEwtP2bO+Hqn3OjIuk5e7EFKTUOqd2Vn7oWVlpXQiQxcl\nLIUvJSUVFotZuF9XV6v4tAaNRoMRI7Lw+eefwWQyOYQPcP4CytXzcc/hvEKxe4tcmLMre2L+2lB/\nvyq45AZfxJJl28CyLCIioqDRyHcg4Y/H076lc3jW67uCzdbqckz+lZB4XFnFEgNnOyRDtqQuFKSF\n62X4+c/vUtUuJTDCskn1iBFZ+OqrLwFwnVxSU9MQExOjiq3evfvAZDJJHpEfQcThqTenfJgzNDwx\nktMYyGRaSgVGqYbR3CiiCIhCxIs437QgmIbR7oNuueOX/q2q8ZmFTtYo74VLvyvl5WV0FFEXJSw9\nviFDhmHgwMHIyZkDrVaHRYuWqmYrI6MPzpypkDzizduTr+dzD3OGkiemfis0MmUMfLJR8BcK3rxL\n/r1wXqX4w2BbeslpG8vaJV6l9Hh8LyHx1jBaTiyUprMSgViWhcViQVJSsop2KYESlsIHAHPnzidi\nJyMjA6dPn3Dc62jSungikF5lO3sqpBIC1J/oTtYTA7p72M5bMohy+5Z870zW7USu5L4l/1qNRiM0\nVw+0hMQbZLJG3W3U1FxCr17pitkgUXccToSt8JEiI6MP+vbt67gnLVmQy94UnyNFGuYkNcGARPcR\nEp6Y9Gq8+zfYVqthtCiW0sgDlwHr/pkF1tJLXixZVuwM5HJ0Qe9bkihcF+04/x2XlpYoFuYkVXcc\nTlDhU5mEhETs3bsXFRUVWLhwkeNR/tsvN4JI6/IcfgQRf3XMnWD5zE7nfoTKXNmGkicWShcKpMN2\nnt6LEt4lNyGBhUajg0YDiScZXOs7qRiKtuFSX6msZyn3d1xWVi7UCgcLibrjcCMsk1vkUGuacWVl\nBY4ePYrm5ma47++5fvGkJ07nEUQsaxe+vAAcyQvtwjRr98QF6ZRrPnGBT3ywO9aUn3JNck+MO/FR\nT8wXyIbtlH0v0kQfaV1rRASf5MMn+kQLiT7OST6uiT46R/MGT1Ph7RJBYoXvgft3Jbjvi6eLnvLy\nMgwfrkwpg9lch8REo3CfrzumBA71+KDuNOOvvvo/AEBWVhbEkI/n2XuANNykQWRklHC1y2fcOYuF\nf6Elz2hcrrz5wbZipqKS+zBiZmrXLmPwzQ4ZD5nE3i7pxtTeCH4UUTtYlnVkw4p21RhFxLJAY2MD\nfvjhe0RHR6O1tRVWqwUMY4fBYIBOp9zfhlpZtuEEFT6oO834wIH90Gq16N27N8QEFkAuicU1zMmd\nGKT7L9xJiRut0nEtFr+Wf1l+Ip4H2/IEvg9DIjOVTBPv7u2JebLTXROB3Av9fWvrF/woIhZ79+7B\nxo1io+jp0x8VjmnixMlYtmxFQO+JRN1xuEGFD+pOM87MvBmxsXGora11POJ5L899BJFzVp0/s+QC\nH63SDm6wLS+uyrbyEpN5ODhx9ZwSH4yYkBHX0PHEyDVGcE8GUQty35dITJqUjfj4BJw4cRzV1WfQ\np09fNDQ0oKGhHhkZNwb8HkaMyMLWrW8gO3uq6nXH4ULYCR/pacZ/+tNqvPvu2zCZLjoe8X5FLc2q\nk54YSLQo4+z7PuOPe758Srz37iQi0n1L73hv5eVaP8bZI9EwmkzPVN5Od/XE5Ox09/cijdhotVro\n9QZMnDgJ//73fzBr1hyMHDlKETsk647DhbATvs6YZpyR0Qfffrtf8oinJBZRGFyvVMl0a/E/4SSQ\nK2WbrQ0sa4dOF+XYJ/FFLAPZh+HgRh65i6US+5ahNKyVNqb214Z8ucSRI0ewZMnvFLVFqu44XAg7\n4esINfaNMzL8b1smH+ZUO0mDVMIJlzDD2wksJb6jfRhW8jq730kLvuxbhlJxvNROKL0X0uOO7HY7\nWltbaKlBF4cKH9SfZpye3hsXL16UPCJX1sBne7p/mUh0UQHIJpwEIq7+eJfOXqXzXqVc9mtw+5Zw\nFGEHXmztDeqJ+Wuj8+oqq6ur0L//z1SzSVEGKnxQf5pxdHQ0+vXrJ9z3PIKI/7nWZX+PxIkvlJpS\niz1Axc9MuRFE4v/yYepAiq099b3kshOpJ+afDd/KJYK34/5eSkpoY+ruAC1gJ0R6ejree+894b5z\nmJP/NXgKc/LzxEg0pVZXkLrDhHL5qQoRwlQFvtiaX18stA682JqfqMA3JuCLraXtvMTia2mxtc2p\n2NpbYwI1PzPfbIRShxvpBZK0cJ3O4OsOUI/PAcMwyM9fCZPpAux2O+bPfwFDhypT0G632/Hdd/9C\nS0sLnnjiCcejUtFzPgk4C5/6gsTZIZE1SiZJg/QYIuf3EnyTaOlFEYnhtoDGj+zawOlMT0x5G/Kh\n4ePHj+P3vx+qml2KMlDhc7Bv317ExMRg06Y3ceZMNVatykVx8Q5F1j51qgJXrlxxdG/hkZ+95x7m\nDJ0OJ6HoVQbze/Flz9J1uC33WCDF1r6JJcO0gWGkx+SaBRt4RmxoJumINmw2GzAqyZcAABqxSURB\nVGw2m6p1wRRloMLnYMKEibj//gcAAImJRjQ1NSq2Nj/0tmfPngDE/TTAuRaIu08+zEkqeSY0vUoy\nGbBSO8E3iXYtGbFL7EAiltL/fcF7RqzoVYo1tEpDqghfzns9daoCN988SDEb1dVVWLZsMaZNm4GH\nH35MsXUpVPgEdDqd0E9v166dgggqwaVLJsTExCIqKsrxiOvenoh8mJNM82PqVfpvh/SA00DxJpZc\n9xE49iRdZ/Bxx+Ff2zvv3qXzGCL5JJ9AM2LJJ+mIdsrKynD77crs77W0tGD9+rW4884RiqxHcSYs\nhc9b95YPP9yFysoKvPrqOsXs/fa3v8OPPx7Cvn17HI+4hjmlNWcMGIYbzCkN2YlXmMqKBjmvkkzf\nzM4eCKskZIrjPfcaVWL8EC+MdjvffYa/8FFu/JA0I9Y901bN74zz2qWlpXjyyTmK2IiKisLatRvw\n9tvbFVmP4kxYCp+n7i179nyCgwe/RX5+gaLd1OPi9LjlliHYuvV1D8+Q9q50TzLgJmJLG0YHP6RT\nsEzMqyRbHN/dw5yk7Cgt4p7EkmVtDq9SJ5mWID0GwFuSj2snn47Eks+QdTk6r0k+/s62dP29VFSc\nVGwyularlUSIKEoTlsInh8l0AZ9++hGKiooREaH8x5KcnAyzWTpDSyvx5HjxiZRcDfPz97haNNcv\nvFJXydIekLxoiD9XBqkgkUg4oCLuj53OF/HgPEtALA1hBbHTanVuYulPko/k6NyEUWrbZrOhtvYy\noqN7QKPRqHLuoCgP/S052LPnUzQ2NmLJkheE8GdBQZFif8juJy/3EURSL9Nm40cQRcqeYJW+Suau\nkN2O2mNIyZ9JClJBCp0yBkBdEed+QWqLOInUf6kdpT4zuRIS7mKREz2dLtLDcSiXEcuydrzxxhbs\n3LlTOKbJk8cjISERCQkJmDLlEYwfr1yuAEU5qPA5mDt3vuqNYPV6g0w2m1yLMrEbv6cTkhL7LyzL\nOHmV0uf4GlKSOTI3sbRLFJUbpNuxWPoLd7VP4iQeOlmjAMnRTep/Zr78/pX43jBMO7jwsA5jxvwS\nVms9ampqUFNTg4iICFgsZpw7dwaZmQMUET5/mxFQOkbj7UOtrW2in7iCrF//KjIzf4bx48dDp4t2\n/EFzoRnOs+M8FbudAcO0e71yVQKGaYfdzjjZdkUupCQ+Lu9ZBob8iCFfPUuWtcNma4NGo0VEhHp7\nI1yXFJvXz0wJ+F6jERHRqokFy7Kw2VodITr1as/Ev2eu+41aiJ9ZlGpCzn9mgAaRkeJn9pvfLEBO\nzgKhnMFutwflrVdUnERR0TqHmOqQmpqGvLw/w2AwBPsWwobUVIPHLw71+Ajy00/n8cEH72P48OFI\nT78R0rIG6UmUVFKDL1f7wXYlYVm74wpZI3mPcgIa3P6LXIKQ64w+JQSEfP1e9/cqO7OFmApWOAsu\nv5eqqipkZt4s3A82RD1w4CBs3OgpGY4SLFT4XLBarcjL+wPa2tpgs9nw/PMLMXjwrUGv297ejrKy\nchiNRvTs2dPJO3KtnSIzdFbdlHx+TX7atlw2n9sRBbH/Iq5hB8PIN/92HJnXzD5vGbGkBYnc/l7n\nlEsoCbnpEu5bE9euXUNUVDSRifIUZaDC58I//rEXDzzwEMaNm4CyshIUF29GQUFR0OseOvRvtLa2\nID09XcjcFJtSO59cucd8HwYbCKQKvf1JOAl0/4VlWaEoWqeLDDhZwcuROdVSAlzIM5j2Xd4IJU9M\nFKTQ9V6PHTuKIUNof87uBBU+F6ZNmyHcvny5BmlpNyiybkXFCQBAZCS/Z+cpzKl+qrzUDomQnZon\nPU6QRBH3Rcg77kjSkWfJytSIuR2ZpL7SX8+STkoI3A6Z7FSpHa5jCx1F1J2gwieDxWLG0qULcf36\ndRQWblZkzUcffQIDBgzEunVrHI94CnOSPOl1//ICZzu+fWaBepY2WxsA1lFvCTgLI/e/3GP+eJbO\ne5U2OAukcp5lKHmVnB33EKQaNjg7zhcLpaWlWLz4JdXsUpQnrIXPW+uy4uK/4fvvv0Ne3h8VCXXq\n9Xrcffc9yM9f6XhE9PhESLXCIrGHSKbQm7ND5uTK/2587eoTSK9LKb6NCgqsi0/oCZL6e69ypUcA\ncO7cWfTr119FuxSlCWvhk2tdVlZWgqamJhgMBmRljcYrr6xQ3K5Yy6eBTic3goiMh6T2eCBy42FI\neq++n8AD8SxttnawLAOtNsJhq2OxDKTWkn8+wzAS0eB/poxn2dmCpLgVmTBnc3MT4uL0qodYKcoS\n1sInx9df78epUxV4/PFf4/TpKqSl9VR0/eTkFFy/fh2xsbFuX1RyYU4SmYlkk3RIZSaSyrTkJrb7\n9rkF51naZTr2yBHIFAWy3We0WrX399zfT3l5OYYNU2ZgNQBs2lSIw4fLwTAMZs6cjXvvHaPY2hQR\nKnwuzJ79DPLy/ogDB/ajvb1d8dh9RkaGJJ3etXaPnOdCaqI7SaFQz4bYSUdd7zWwULe/niVfUK7R\ncKO4vLe8C8az5O3ZwbJtTnWV/rS863h9Mh6f2IHIObHlttuUSWwpKTmEs2fPYMuWrWhsbMDTT8+g\nwqcSVPhcSEhIxJo161VbPzNzAPbt24cJEybAYIgWwp7k5siFzr5bZ4TSulo4NRg7XO9UrV8JPo5b\nHYil82N8VmygLe86EktyvVPds2DLykoxZcqjiti4/fY7cOutQwBw7Q1bW1sk2yIUJaHCRxizuQ5v\nvvkh0tLSMHr0aLefcy2x5PtZBnt1TLbBMknvNbTCnF014cQfz1Js7QXodFHQaOCzWAbqWXIdgnwT\nS3/x9JldvHgR6em9/V5PDo1Gg+joHgCA3bs/QVbW3VT0VIIKnxcsFjNmzHgMq1evVSycUVpaAq1W\ni1tvHSp8iRjGhtOnT2PAgAHw7+oYkHo7HX3hA9k/CgRSWaPkU/JJTXVX96KEtJfMXzD471ly63jv\nDysdPGt3/O/rMfoyn89zFmx9fT0SEhIV/xy/+eYr7N27G+vWBZ9NTpGHCp8XNm3agN69MxRbr6am\nBmfPnkGPHjHQ6w1CM+WPP/4Y69evw1/+sgnDh9/ueLb3tl3B9Li02xnJFawaV8ekwrahE04l3XJL\nfe818H03f/rDSpuGi7bU++4wTDv+/vcvcPDgQURE6BAdHY0PPngP8fGJMBoTMXz4z4MaIPvDDwfx\n1lvbUVBQhNjYuIDXoXiHCp8HSkoOIS4uDv37/0yxNSsrTwIAIiIiMGvWTLS1tYLvzanRaLBt2zbE\nxe1CUlIykpKSkZychKQkI5KSUpCcnASjMQnR0e5d9H3pccmyLI4fP4Z+/fohNjZWgatjebEk288y\nlIQi1ArKyYeHgx855E0sRc/yu+/+hf379wv3T506KdyePn0W5s17we/3AQBXrzZj06YNKCzcDL1e\nH9AaFN+gY4lksNlsWLhwPvLzX0Nh4WuYOHGyIqFOhmHw44//wZ13jhBOCHV1dZg69UEMHTocy5fn\nwmw2w2Kpg9Vqcdzm/lmtVpjNZrS3twnr9ejRA0ZjkkMgkx3/jI77KUhKSkJSUhKioqJQWXkKs2c/\niSeffApz5+b48YWXJin4S3CjhrzBX+mrPerGl9FNSsDX76k5Uoezo/64IwBob28FwBIZqwSXEUFq\n2eFHXjEMA4vFgtzcP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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from ipywidgets import interact\n", + "mean = np.zeros(3)\n", + "cov = [[1, 0, 0],\n", + " [0, 1, 0.9],\n", + " [0, 0.9, 1]]\n", + "\n", + "data = np.random.multivariate_normal(mean, cov, 1000)\n", + "xs = data[:, 0]\n", + "ys = data[:, 1]\n", + "zs = data[:, 2]\n", + "\n", + "figure1 = plt.figure()\n", + "ax1 = Axes3D(figure1)\n", + "ax1.scatter(xs, ys, zs, marker='.')\n", + "plt.close(figure1) # prevent double-display with interact\n", + "\n", + "# You must be running the Jupyter notebook for interactions to work.\n", + "# It will just be a static image when viewed on GitHub or Nbviewer\n", + "\n", + "@interact(elev=(0, 180), azim=(0, 180))\n", + "def plot_point_cloud(elev, azim):\n", + " ax1.view_init(elev=elev, azim=azim)\n", + " return figure1" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "pca = PCA(n_components=2)\n", + "pca.fit(data)\n", "\n", - "plt.show()" + "axis1 = pca.components_[0]\n", + "axis2 = pca.components_[1]" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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M0MXZyCEdMXP09nG5HEwzRX/bFWKnvk5IyxCQFGKSguNAdXUIr+cW8ZiX4WGd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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "a, b, c = np.cross(axis1, axis2)\n", + "\n", + "# By definition of cross product, is orthogonal to the plane\n", + "# spanned by axis1 and axis2 through (0, 0, 0). The plane's equation is thus:\n", + "# ax + by + cz = 0\n", + "# or z = -(ax + by) / c\n", + "xx, yy = np.meshgrid(np.arange(-4, 4), np.arange(-4, 4))\n", + "zz = -(a * xx + b * yy) / c\n", + "\n", + "figure2 = plt.figure()\n", + "ax2 = Axes3D(figure2)\n", + "ax2.plot_surface(xx, yy, zz, color=\"red\", alpha=0.5)\n", + "ax2.scatter(xs, ys, zs, marker='.')\n", + "plt.close(figure2)\n", + "\n", + "@interact(elev=(0, 180), azim=(0, 180))\n", + "def plot_point_cloud(elev, azim):\n", + " ax2.view_init(elev=elev, azim=azim)\n", + " return figure2" ] }, { @@ -212,7 +280,7 @@ }, { "cell_type": "code", - "execution_count": 27, + "execution_count": 7, "metadata": { "collapsed": false }, @@ -222,14 +290,14 @@ "output_type": "stream", "text": [ "Dataset consists of 400 faces\n", - "Extracting the top 6 components for PCA\n" + "Extracting the top 6 components\n" ] }, { "data": { - "image/png": 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ZjRzxKqyC7VJROSjdjnd+RnZjZ8/TBvu4S0DA9RirVdr1WekQG69hl6jbyRE6TKY2MTEx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\n3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mjAGt6qPc8ZPEqXuBQctibOqHXPId1CJo73qqOB6rcAAli1YqrPvvv//iWKUp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\nNIC0HTtWwfUXfWh/GQwGg8H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MBoOTwVEu/cmwS6rdGb4TdWQbos9SQ7r6UaoHuqrzek7B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\nu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cGZMz9FmVGuazBKt3BvXqu85Y3c3h06dPj3OS1Y9yKnjttdciYhtE7Fy+q/RY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Kup/6d3qCT9qlI6/rqmVqi8Visbgh7EttsVgsFjeDUf2YUutUHTt7nKGwE4Xk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\nf/Je01w7+/V6Py4Wi8XiucK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SnV/19/TIFovFYrH4M45HJTR2diuyItoknMcX2+Abur+F\nk245SSu9T5MXFXHW0/BMG4KzrSUGmNo405cp4j5lAejX8qw9cZLMCEq40xjIItx1o4ckGYhjRYmd\n0AOwH5PYtxiAk+7JZNQ3MkK3DsnUnF2EBT71O332fZkcmnM8aV94X7r1TMbnskD0Nt02gs8QlxSd\nc0ov7K4pokdrYqvOlk/NB+fN2XATQz9TVmjK2pHamWxqRzY0Zz+fbGf9t3se0LcisbB+TIpfdtog\n1w6xTG2xWCwWN4N9qS0Wi8XiZnBK/XjG4E3jK393JAeRM0lPqepx6sdksJ+MvGz/MQbVpAJzjig8\nN2l7H0eaj8nBYXIf7tv7dUlqxqQOOAO6Gzunj3Q9qLbrYGqrVNW4g6pEHUNX+Q6uIaby6nOv9qQi\nTW7ubs6pfmSygd6+1IvaR2EOSuLc1Y90eeZcT44+dBhhoLYz0vN+Z0C4C4FIxv7peZAq0lNV5lzH\nncNb6g/VfmecwlIS4pR+rO/L0IQpADrdN5NKND1/ppRXdNxKAdV9W1I7p3uiH5tCux6zdqqWqS0W\ni8XihnDsQVGz2zT34RvZuZsnV3HnIJDOOUnzQnJ5PVPOITG2KeCZkq0beyoX4YKZea6UbNfhiGE6\n9/yULmtid0dwrtCcS0p5bh1QI8BrOwXDCuk6dacPsR46LcnxghJ135dOGZPmgc4XKcC6f2cgNZMU\nO7f5o/vHOQiQufJ+cdoEal0YotDTViUHBPZjcmfnuFIgb+9TGg/ZsusD93XHpHtuYhXp/k/3ZO9/\ncpqbNFDCpEU4SvPmtHC8t1KCeOfSz98pGURvP62dqmVqi8VisbghfOhpXNcXi8VisfiziGVqi8Vi\nsbgZ7EttsVgsFjeDfaktFovF4mawL7XFYrFY3AxGl/5f/MVffK/qvnZRD+iUW7Gypqe6ai5ATy6h\nCqQ9kx8suZlPbtOpFppzZxYmt9g+Ptd+chXmd3fMVIstuWW7YE4GvTKTu373LPO6hsxZyOv+1ltv\nPTlG3zX/X/ziFx908vOf//x7VfcByc5FXZ/f+ta3qurenV6/ew01ua8zvx2De12g5lEW8I4ULDqF\nMBzlI32afKJT4H46v3N9T3WuXO7OVJEi5Vesuq59p98f+chHqup+Dl5//fUnx3zjG9+oqvvr/Mu/\n/MsPJvdnf/Zn36uqevXVV6t/9nY/9rGPVVXVCy+88GA8rGjQ+8C13++BqjkkgmEnZ+oTMhh7CiVK\nlTIEF3rBvjhX+6Nnn1sHDBlKdRzds5C/p0B6/adrqrl44403qur+Gn7zm998cszXv/71qrpfQ5//\n/OevLsSpODV3UZgxgrEtLo4sxbtNmSxSvIjgYkCOku1OCzMd67IF8MU6JUVmP1P8i4v9OML0oj2a\nc9dfveT08OILssrHU3WkGMG+jS9cd7MIjDVKSZCn8jgpLqYjPcS43b100stsyk7jrjvbT33kS+jM\nfcN2p6S0PMbd6zqPXhDaRwKr2uwvwqOktCws2XGU9cZlGEqlWf4k14XxZVWPj93s33ktp4TD6TpN\n8XAp9su1n4SbMxmFGItMcuNidxl7ppechFwXEzolqV/142KxWCxuBqeKhEoy629ZSj2U2F0OtoSJ\n4RzR/seUNjmjqiTrStku3LHpd283SeCT2jHlm5vGTOlqYq8ck66lJCXBFVNMBRanPjJLB1nfGSad\ncuQ5ifaM2lFIDI3jmTKkHGWnmfo9sYejjC9TlhjC9elpjklMXWrAF198saoePgemvLBV92pvx+hY\nBPTovnKYMpYIR7lTHWNne9MzI7WX2pow3Wspvy775hhneoY4lpwYLJ+r/Ty8B3RtqbruTO1Mtp5l\naovFYrG4GexLbbFYLBY3g1PqR9G/boikykVqqEkdkAzqk4ovUeDJSJo811Ky0L5vqtzrDNBJTeYM\nq0eGYLbpzs0kqk6twX5SFZbUa65PchiRqsddU5Y4EdRHqZJcZXImCU5OGVXHalSnMqPKJTkXTIb7\npEp0Bu90rJvzZKh3CXuToX5yuEgqr+n6cx/+dv1QO7z/Wd6nqx91jyU1p9abPrv6SetJ/2kfnW9K\nhs3nwuRxnNSZZ5xBkjnFHXvGizv1h+27ZM501DhTXfpI3UjPxt4/7pMSG/d+s9SRPGm1pvS7ylc2\nJ5apLRaLxeJmcIqpSRqS5N638W2bYjQ6GA4wuSYLlB4mKZhSAtmda58OLa4UDJHccScmmIqbTg4C\njzmG7vcsW3JGOqXr9sQ8kxsx58D1kbFzxGgMPnDt7tvomMB2XVFFgY5QLkRBY0wFLN11So5ITgrm\nmKlBmQp+JkcEh6lwpOtjR1qjUwHWJG1LGtennE2q7pmatvGaurJMyVlhuo/OxqtOjJ3Pm8kRjvfY\nFHqR+jLFEaa17/5P+0xMjX05o0lJ2gmy7z4erYV33nnnqr0n/Y1bFovFYrF4xjAyNb0hn4a1TIUL\nBclMKrUAACAASURBVEpMDkduxk5KTZIZizmeKeJIfa+zJ5xhmkfFRqdS7HR5nzJVkAVpG4Nj+/lp\no5MEpjbknu36dmQXcZLnEctzdgZKtEky7/1JTCaFhfB776vmwq3rlBViCjfguDj3ncUc7TMlLeDv\nKSA8rc0zjDNpAPS7X8sjl36tHdlSXnrppSfbXn755aq6DumYMnLwPtJv3hO9jSkRQNVsJz3yGXAJ\nHNgGr8GZRAEujCoxNd4Tzg7HsfNedkyNmrqUiKDq/l7i+qJrf88spLWxwdeLxWKxeC4wMjVJSk7C\nTFJJ8gCbMOXvS5439Pjp50leYeqjxjUxzzMeUpwXStCODaX8kPRs7N9pJ0tpf9w+lFLdMZKY2Efa\nAh6Tj3CyWyXb0+T9eKTnd+lzmLMw2Vgnm9qZYHmyefZxAqVs5/GX2Ck/J7tZSlvm1k5ao2fGQWar\nNvt4HBvt0BxIUv/4xz/+ZJtsKil9lY6d7r3E1Bz7TnDPKo6dyQTcPJL9kL04rQXHTubrWNfRvTB5\nTCZNhAuK5r3F5063n/O+Z99kP9Vn/z7dW8vUFovFYnEzGJnaJAHSu4nSkPSiTgpO3mg8tu+b4jnc\nGztJlpTIpjgygZ4+nUlR90yPLGfjSDpz1/fkETlJ0lMan76vY4RKi0XJzNlsjmydPL9LMMu+ku27\nPvL8+p+SaNU1Y07psvr8UXI+Whf9+DPpsXh8Yl99HMnrcRpHssem1GRV17FlyRbo+kbbzWRbP/J+\nlDQuhtaZmpgYpftJQ0SmpPXAGEt3H/FeTrGCVfdzKRu05lq/U0xn1bW3Mq+5u/eSXbnPq+aL8V18\njvZrKobMaznNBd8V+mRMal9vOqfmh4msdT3Un6pr71eHZWqLxWKxuBmMTC0lv+ygh1zy+Km6fzPL\npkX7wSSVpNgIxyZpT0pwnowaR5LUnJTKbCT0Huztp2wK6nNvn3poSTmKF3TMNsWaUUrtEhPbU50r\nMg6nd2dNKoHjczYojYtZKdSfHhfJ8jTCVBuPdjZKqY7d0WuTjJM2gv49aS2cTSXZfd19Q+md2TPY\nt/5d61mfiu+ZyglR2ua67veN5kt1zXpMWW+/X5/Je67q3sNRNdN6m9SGUCPENVV1rQHQb0n97vnG\n502y4TltD+dW94i8+Pqc075HrcIU86ptTO7c+8S1r08yHff85FyyFJCrWcfrQzjbKq8hGVp/xqiO\nWmdvxDK1xWKxWNwM9qW2WCwWi5vBqH6kYbNTVFFTUmqqUzrdlNpR1FF0dkovlQIXaczuqoxkBGX6\nHWdsTC7djlaT2ic1V++/tkldI+cMqYd6+wx1oGMKVb0dVMGqfcGNgyoD9c21T3UGwb73eaVqTOOR\n2lMl23vQJY3vqWq2g66d5lzBvFSD9/84vqR+6n1jnbjkCl11rTblNZ5c7bVvUnNV3c+d5lRqR6lv\nGPrh2lcfpabj/PVtbE/7sq8dSUWl9qWG7C7dDL7VfElVzXXRt1ENybl396va4z3inCU0ZvaBCZp7\n3+jAo/Hw/nHqR6aVcs8oPmuptnUOZVSJ8tnurptTM1fllGGuLyk5vtTQVVVvvPFGVW3w9WKxWCye\nE5xianpzd8M93VT1hmZqG0kvVd4w787TpccUQM02u4RAyYgOKk6iocOJpEP2ubO75Ezi2IvOzf6z\n1E0fh85JKVhzQkbQ22GaL7bfJWdt++hHP/qgvSmt2FGKM7KLXkVb6+jtt99+sO1rX/taVd2zic7U\ndIz+0/rTsfrsxuvEjuUirjXajc6aAzknaBslW+fIQS1CMvr3/1IC6g4yMTrUaOzf/OY3nxwjtqv/\nxNTIeF3JJrp/617QnHTJWXP42muvPRg7QxamZM4Er4EYW28vJXvQuDprZXgB14o7hs8OBgRrjjqL\n1NxqzbCCt+bTMTWGtUzBxXxW6dlCLUM/N0OSqCVx6at0r/V7t5/XOT5xvlLoSt/GcTBMo8+x1sS6\n9C8Wi8XiucDI1Cg1OuleUhQlGacPT3YEwZUiobRLfTUlgqr7Nz6lKp7XucKzjzy/A/vgAluZxof/\nC33s+k57GO2IzgaZbECat166QRK/+itJWW1IYuvnUZ+SxERX/y6dys7z5S9/uarumdmbb775oD/O\nLkJmpk9td+NiCROdR+PUZ1XVK6+8UlX3DIRpmZw03Bll1fU1nlIdcV2rz/36kWHo91tvvfXg8/XX\nX39yjL6LDZPV6/NMQUmma+N4e3sMb6CWpGoOEaq6Z9J6hjj3bfVB5+M6cM8QzYXmS21w/VXdXzOx\nUj1LtC50jfvzTetMx0gzQPu2c5+nRiilBez7sK86pt971JjofEnjUXV/D+lT86Y2dD36etY80G+C\nz2IX5K11pzXjUsUJuh/7vBPL1BaLxWJxMzhVJNQF30qaYkkOSSna7rwSk12J7Kifm7YgSQ86tuvd\naTMjG5JE0JmAJABuO5P0mJKT+u/S1ZBpMti7szuNMXmhuvPThkFJmd5QVfdSmhiUpDjtw6DS3q6z\nAfV9NRdqu6rqq1/9alXdMzV6gLpUR/TIY58mux8lWbIJ55mpT0nvU5JV2g01Ds7fxNQYwO+8YCU5\n6zz6TRZbda31YAC301bQFk0btNZOD4bWPmqPHrO6Xp/85Cevxp7uLWp5+n1E+xe9Oml3rLq/j2iz\n1ZrU9s7U1A7tVWQe3WeANlvalzR//VmltchEzFyjrnSPQE9NMdH+XWPUmHmva3ufB61j2WXVB42v\n90naDvVNv/U+0Jj7c4c20xS439eo9u3aFWKZ2mKxWCxuBqdKz+iN2d+OTNkjXbP2cemgmAaFzMzF\nTKSCnvQ+6jr7lPSYzLPrntUe7VfsR5cAJZkx9Ywr60FmwfgqSuNV9xIl46Con+6SDBkNGYZjd7p2\nGgf7qvY7Y5TUmaRtpvRy0iMZqPrkmG5Khi0w2W8fa7IR6fzdq5eFcbUv48ecty3T/VBD4FIqkcU5\nFsO0YVojZGOu+CQ1ACwn5bwS1S7XF9l/b492EJ1PTKDbxfTdxa7187n0X7QNk5npfO4+koaA91WK\nser70GtQ7fd1rX7rP9rRNe4f//Eff3KMmIyO1b4aF1OiVV2n95rs9FozsrGKhYmpiYV1z1nadTUe\n9VHP+H5e2lDF2Om529cBj1G7/Vne96u6v08+8YlPVMIytcVisVjcDEamJonASTC0CfDtrbdt1/On\ncuqUsrsER0mFSTx13p7lgBI/bXhOspWEpz5R8pyS+tLLknEeHbTzMd6m6+h/9Ed/tKqu9eEpo0Tv\ntyRKzUWyEXTQ7sbkt11adMd3SNqTZNglQcfEeh+1vTMolvHg2B2LoC2DnqzOc1PrVftwnCwA2c/J\nJM/UGExzRobTx04vNCag1va+nhnPQ7ZAm27/zlgp2iS7PVHr1cUhVflsJ9RoEJz7Lt2TRZBZC2Jj\n/TvjyNS+2nQeddQUUdPStQ20rdLTUP3o60DXSWuI3n3qc7c3qS/sg9MmkTFRQ8CMKVX3NjN6eGqu\nZR91MaFqh+8BXa++3rSN9l6dxxVz1lrsz0limdpisVgsbgb7UlssFovFzWBUPzLxbze+Up3BarVM\nfVV1rTqSqkJ0VrS6U1Sp3Hpqnt6GDIbdcEiVh/pNl+6uOpBqR1T4x37sx6rqWgXSq/CKAmvsDDju\n6i2pOGjYphq3u/t++tOfrqqq3/3d362qe2MvDfg96JZ9UgJQzaOrvst6WXTy4XWruk7vQ0yGbqqX\nqCZmDbDenv7T2lF6JqdK1LViolkGrffrxrp6um50b3fqNKmImGLLBZHSaYopm7r6UYZ6pb7inKv9\nV1999apPdI6hU4Hc3Kvu1WNMz0ZX8X4tmVKL6kBnAjhKk8Wwja6u0zi0vqle0zrvDhy8/2WqUB/7\nvoLuQ7WnvtJM0c0rDOXgddd23ZP9PHq+UUVOV39+733hPdL35SdDLnqbVCFqrrW+tK6/8pWvPDlG\nc+yq1vfxuOcAzU+63j0MROD977BMbbFYLBY3g1MJjfVW7BKN3q5MXEyXVOfWrjf9T//0T1fVPSuS\n1NilR769dR655+p8P/VTP/XkGElCkiRoWKUbfd/GpJpMbeNKttBA60qOuNRZVdcMo0vSZF1qTwxO\n89SNyHLI+Pmf//mqupd27u7uqsoHpwoss0Lpux/jUme5tuhE0ccoqY6lQST9utIz6pvSWf3Mz/zM\ng2N/+7d/+8kxYnFk0nRQ6kyADIoMXmu3j1tjYyLeZCzv7bM0kEtSrftO8y/pnmEOLp2Uxq75YRBs\nX2/aV/eSNABaZ2KKPUiZoTUaI9fulC6PIFPo+/F8mi+6qPdgf60jagjIZjvrons+kxG7wHCtER1D\nxuYcu9R/hlNw7bjga6ZWcxoOhiswvZxz1mHlaaYkZJhQVdVP/MRPVNX9dZd2Sed39wCTSHDsrkSY\ntjFQu2OZ2mKxWCxuBqcSGjPIuOr6ba23OpNqdomTdjcxDtnDdL6uqxUkMTN1FKWIqmvpRpIHk6C6\nsht0paXNy+lyaaeQlNjHrv9oT5yK3dHtVlKozqc2XRohSUFiwZKuv/SlL1XVQ8bIwGKGF8jW0l1r\nGSBLMEFrd8GVlKhtYgK6Pky22iEJTZLhZz7zmaq6T7nVwbRSGjMl9C71ieXTZkhm29cOyzDRDVy/\nXaA6A2l1vm771LmZ4owMpCdHoHs505ZpDrrru9aO7ksx3d/6rd96cJ6usSGzpU2IaaWqcuFVQWtF\ndibnzs6ku1pD6lt/HtAuRbdwF+St50xKLqD5c4HBHCftTC40hsm1mWSg32dkcWrfhXYw3ZZAzVFf\nz/STIMuibbLqXgPQfQJ6nzSevp32xBTs30Ebp8MytcVisVjcDEampje23sjdA5HBm5J6WBaje3Fp\nH729Zf+gFNltHHozU9pmeYce3KtjqKdmmXCX6kjtSQqmtNAlTpa5mAJbNTaNnYGfTjohm1O/f+d3\nfufBXHSvN9lDJHWLedAL0kl+ZAtTaqiUrkrQvm5cmidJw7TdUSKsup8v2dL0mwHu/RjZgASNWev5\nU5/61IO2er8Z1E2baj+G0rTmntJ8nwMGOPMadzuC+sugdNo+OiTx676QDVpgOqOq+3Wk9smy3XlY\nsFK/GfzdNRL0vCPIpPp56VXLJLu6Bp3daZ3p3mOAu/OG1n+0QTNIvjMcamyYYs1pvBgcz6QMTKLQ\n+0n2Ixtof0bRW1TzxPXXnwda2zwP7XL9eUDvR3rHa5xdY6N7Wf2nrVNtdAbsvOqJZWqLxWKxuBmc\nSmgsdOlHOmy9OSnJutIk0t9LctIbX6xOb+4OSn5qX5Kozts9JukFRF22i7FiihxJaEzy6+xw9Hrk\nMR30qmSfXLkVtSdmIbbFsjX9+C9+8YtVde2x5iQ/sh0Wi2TMTtX99UhJaSlJdymWErqkN53HpS2i\nl1bvS++z7EBV1/YklofXvPWyG7xmlLKdNx9js5heSnClZ1gkkhJu1fX8M2WT1k4fh8D4Sl6vfo9L\n+6G1kmIDGTNade2VyDI1nZ0wPpHguFw6O/VJfaF3dJ8LetExBtEVAiZLocbGJVqnlzCfGWLcPdaV\nJVTUJ8aIuhRrnD+139emnqlM/0bv3q5VSoWSaa/v67tr5HpfaB/tTE37qI/0FtW+PSbUeZYTy9QW\ni8VicTM4FafmEkvSC5BxN0zQWXWdcYP2N6FL9ZRc+dt5MlLCZEYM6pmrrrNOUJJmIT63L212Lukt\ns3VQKupSKWNMKJWyqGbvb5LImSy0t89EwxqHGKKzQSbvMEq67pqy3D3H26+pJHQmRqUXbmeB9MRS\nX2lr7XYlnYdlMXReV2RV4yCzplddP4alX6hN6AyA3oIpqXNfb/pP59RcJG+43l/Z4WhPdDYhgQyW\n0razqSW7CD1Au61LY1ff6Oms69Pb5hplQmWXNJj2ZNqgHHQeaifIVroNXP/xGtIO28fAZyx/dzak\nMbHkFL29e7aolHWEcYN9LjRf9Pikfbwfw7lUH8lw+1p17J1YprZYLBaLm8G+1BaLxWJxMxjVjzL+\nicJ2dRCDkamec8HFVAfRqYS1mTpIb2ks76pNUWmmj6GLbTfSMlEtVWAMMu3bmO7JVf1mKq1U26u7\nctPxgCpdFzTKhLxUVToDN43HVB1oHJN6hmDyYGdQZ/VsJlvuv5lKh+7zzvmHoRusXixVY1c/cv3S\nJV3z2VVwqX4fwxo6qGphPSqn6mW4gfrtaslpLTLNHMMm+nWhEZ4OAc4Bhg4aTOo8JZ5Na4fu7X19\n877hc8dVHU+JE6jKcgG9XJtcU27+eN01F0oy0Z2Z9Axi4m+O052H52Pqwqrr4GeaQXTd+rOQydd5\nHrZVdR2ozWegqzHIZx/Tlbn3wKQ+F5apLRaLxeJmMDI1Vnt2xl6WmKDzQj9GEhgN6nq7u2A7sgaB\nAc5O2iaTYlqk7pos11YabJ2hVqCxks4RfRxkANqXwaTOoYJJlnn+LoFS2tZvl9ZH0L5kQZSGXZq0\nlK6GFcpduRIahOms00HHIAbQko319iltU0LvfSPj0G9J2ZKC+3Vif2kUd4HqlMC53rpLPx0nuO5Y\nsbp/5/1BJugqufNzCrTnNt7LziXesZwOjY8JyHs7ZOoMSHeMIIUduaTBZHUMvZg0HnRN17XUGnIl\nVRgALi2CK2PDIGgynb42NTaOnUmWu3MJU565RMy9rX4eruvknNX7qbGqDToUukTgieVXLVNbLBaL\nxQ1hZGrU3Tqmpreq3rJkSVOpAeronW6bkpkkJDK1Lr0m+5vaVbBf75skPUrM1Fe7vpHFuUJ2DI9Q\nf3VeSqdV15KSs9XxN9kP2R3dgDvIbFgWw7kVJ5d+sm7n/kv2SmbqbLgC1x8DrDtcaqt+3s6KZBtg\noU9Jsq6Ehlzg0/Vhn3l838byTH1MCtrVXIg1ym7SA2i5jpMLtLumZHG09zrWwDI+1Fb08bq0ax20\nfXaGQFsux+WKanJ8tL/xtzue690xXdrumChCz50eSsQk67TzMrSkn5usyF1jht7w/pjCKxh2wrXk\nWCrXdUoD19vT/LsQG/bZpfUilqktFovF4mYwMjWBQcVuG9/EjnWRRdDTZ5IaUlly54nDtzmlSJf2\n6ajcuRs7JU2yL+chJ8mL3mH0uqy6lqroHSg46Yd9TBJU7zc9Wekx2cHUOcRUGoJzyoKVYinOJkk2\nl+xkHGP/nbxu+7np9cgg7y5Naqz02qOE61gR7wHBlVKibVhtyDbcmVoK0E7ro7fLhLJkaP1e47ww\nZZhjNJOU3fvIAqq9/bSuXeFX2pEY4OwK+B4xNecJSmajOWHwtbN9ah3r2aHf1Jr08+j6MCDdec5S\n60YtTAev3XQv85hkvyTr79s4RmpW3LM3PXeqlqktFovF4oYwMjV62XSvGkqL9GCZvAUp0aTYE4cU\n2+CkerUriYlJkHsSzuQRR28xJ21TknClLMjUKLk4W0CSFvnpdM4C0+M4ry31U31hiQ6X8PXIppb6\nWnXNgun56eaV86ZrSobd+0Opmqyettf+nXNPybxvZ/mVFB/nbBBpnvq+TCdGCVe2tT52Se/0rk0J\nqHu7nCdK4U7a7my398WVmWESdILrrTM1MWnel7w+0zMklflxnrNc57TDufOQLcqWpvP2BOL0Tk3X\nzcU6sk8sANvPSVun+k+W179zfmgrdP4SZzVFvb+8T6bUWiyI6rBMbbFYLBY3g1PejyzVUHUdn8K3\nLj3c+j4CJVgnpVKaS15VE4NislUX/0KmlhINu2Noa2D2kKprDzK1I8nTefyleLvkjTTBZZ1IYCyY\n81ZL3pXpvC67SvKYYhmgqmtmy7U0xRMm1u2yd6Q4PyYpdjZczhOTFfdjjjwAXf8l8Sumklkuuh1J\n7I120SlDTpKqGafoGCe9apMN6syYea/19c1E1k6a5zFk0C77TB9DPz7NmxuLtknjIM2Qfuv52W35\nSuYuD1oyNc5v7wu9rFmsuB/HDCIcX++TWCNj3FgA1MVdpmeUiy9L9jZqS/oa1Xx19k4sU1ssFovF\nzWBfaovFYrG4GYy6I6qYuoGTxkQmp+1OJTyGtP+MY0hSN7h0TXQvFp0ltXcOFk4l5frh9qHLcFdV\nUG3FfjtKP1UA7v13QaPJwO2M75ovqSCYJNqpqo7SZPG8Tv3IbTT2dzUk3X1pOHdzkRw3pjRNKS0b\n1VD9/KkicArgd32Y0v9QXaogbF0vlz6LyXTZvlPXpvsyheBU+fvcwSXdTsmOk6qv6l41xm1cF31c\nXDsMXaGbe++vc/evuk4P2NuX6lfPRF0nqRi/8Y1vPDlGlemlVqMJg/3p/UxOYL3qt1SgUiUqVZer\nsC7oOU9VMp2y3LMwmRScI4nu75Quzc295m7TZC0Wi8XiucDI1FyCYSEZqWnIdwl6ybboKjpJAHSf\npiG06jp4V1JQKqXQj08u8Rpfl2woKbFvnQ0x1RWNo2Rs/TsdRpzTCs9z5DzSx84A3VQW56idjiTd\n9W10qKGTRpfk6bgxOYawb0eBus7pQ5DUqmvpKn6nQH2etztycL2R1fXrp3WrOWS5F1Ze78dzfZ0J\nm+HcTuVjpkrQfXs/X9KGCJpzBSv3uaCTh8ZHx4G+Zs86VPXnDh1f6Cikz65N4DPqzTfffDAeMbWv\nfvWrT44R82AaPV6fqfwOHSscqxNjS0mr+zUW00zlb1wg9eTu3+GC/fk8Vv/V9848XQgCsUxtsVgs\nFjeDU8HXLiUM3ZX1BqVk5lI7Mf0OU+t0yTkFgFJa6FKwpCe6M5OJdFBHzvMwsW0fK8clOAmTxQAl\nFbmx0z5A9sNUOn0bk4XydweDHpPtqY93SlPT+0q7YD+W6yvZAR1Y0iQFwvfzkAk6OyalRZa2cSEM\nXDuPSS+V7LI9DZe+S+JnGiZ9dmk72fPOsC7aP3gd3Lo+gtOK9BChDqaK6scy2S0ZmwvXSenLOB63\nDvSZUgV2pqa5EPvi2v/a175WVVVf/vKXnxyjIGJnC+zn62uHNkImr+6slfehjlG/nY06pf8TXOrA\n5INAe2xvi88mFr3lM7P3s4cgEMvUFovFYnEzOFUk1Hn+sYQ9WYOTMBh0SxvRVKaERQfFzFhGvOpa\nEkyeXy4NE4PKxdCYnLQfT6bDEidV9xIZE0AzKNoVVU1MjZJa1TXT4G9KblXXKZTOSN9HqY4obU3S\nPdeK836bdOh9u0tfRWk0lT7qoOZBfXOMncGvXKMusD6lkdKYOyORh5wkfTJdxwRT4l0yxCkB9NGc\n93ZSiREX9J+CnwXdK7JByYOz95eMbPK6PtLUOM88zm1K8dc1FmLSr7/++oP2dT4xOJfiyT0vq7xt\nKt1bzi9A/VO76oPslc7GyvuF15b96GNMz5vpPEcB9C6xxpjuLW5ZLBaLxeIZwymbmmM2ybtljB+A\nXpVxCFMaHpYckaRM+0XVNeOgtOgkZ22ThM40VooNciyM8XxuHNQf07bhPDIZf0Km5sqsJ9ZFz6ip\nzAalbSfhHnmSMWavS1uU1NNacklW+ZlsUg6p0GOfP8bosVzRpz/96aqqeu21167OKQk8lXDpUj2Z\nrrzTdGyX5sVUtE1edbRnO5s3177TuhDperhjKMUnu2zHkc2URSP7vJGVcL1PZbJSEukzjJQaKfWp\n2wX1XZ/0L3Dp0hgvpnFN9xe3sXBtt/OlRMPpuVCVtUlqV3123slHpWf6euA1OpMYfkok/aQvccti\nsVgsFs8Y9qW2WCwWi5vBqH6kQd2pH1OAqwuwTFQ4BWNXXasXSX3prFF17Soses5Aw05rGcBKV359\ndkN0yuwvOKcSBRIyFMGpfFLNKDqVuKq4/Ewpqfp/BB16+hynis08lqqXfj6GGUxqoRRszbXjUpMl\nVYWuf3fK0L66dlIL/uRP/mRVVX32s5+tqvt0Q308dExi2Elfb1QZynCv31IxVl2rGdU+M5b3dUCT\ngeaC6nOXmT6FWDhVMtdocu12Thjpumg8+uymheR4QCcjF4hOJ4OUdq7vwwolmmM6h3XQIUmfr776\nalXdr6kOPmMZCuXWtdTSrHzeE0ToXHwmUk3v1I8MA+D8dTUnn918d7j54vWns5erAUjzkMMytcVi\nsVjcDB7l0t/fspSMUpVUlxaF1YslFSsQuUsATE9FZuMcH5hWKNVec26hDGjVp3O5p1FUkoU+XaAu\nA37JoM64ZVPK6uyR7I1B0k6ypEs43ZgnF//kmKHzpqDS/t+ZlFcpAJhz5K4pHWzIfLpTBtvTeuPa\ndKyVWgRK3/06sXI3ma+717h2NFa5kjMwuer6fuT5pzRXibE57UtiX46ps04jobXDsIo+DiZW0Pkd\nU6PTFMMBprptKXTgTHo+3v/qu2PUHAed2dw9KKbG0JH+/PzkJz9p52CqGK8xU/PA9H8uKDqlPnRh\nJ1yT/O0SPLjgemKZ2mKxWCxuBsdlkMu7ydKFl/Yql4KILqf6lN6XdrOqzNAo7XVJhsGWTGTs3vY8\nN4OuHejySumnSxoMTtT5JGU72wPZYar67WydlBZp9+lSKa9lCk527CHZ4zR2lvno507lQxxj43nY\nV0qg/Rj9p7GL0dB206F+K1j1K1/5SlXdX69um2KYCSVnx2bJgsUW1X4vT6IEuArC5m+Np0vODOZO\nrL/fN5SmeT1cOqnEtvnpKrqnNFnUeDj3/ClVXJUvI6N902/3DKENj6FF/fmg+VP4B9vSdeqMmgyd\ntqep7JP6oD5R49X/o1ZJ60zXYBo799HcOqZGhsnnmgtVoN2X7NGx1Kl6+jK1xWKxWNwMRqbGN6d7\nO1K642fXOUui0CcTsZLB9X0pYVJS65IgAyRT8l3HHth/Bhx2UKriOFw6HNoCGUzYJRkWYD0KVqzK\nxTMZ1NnnS5JjKp7pUio5T7gOMqe+dlLiYn66Y9inqeil1gFtZ/p09gRBnoVf+MIXqup+jtw6kHT6\nyiuvVNW9N5o0EPrs4yFrZHkSpcSquk+7pGPI6rSGXKHcFLDvNAOcf7I97sdzVuVUWy6RrUt2BDZ1\nQwAAGyFJREFU3v/XZ1/TXFf0yHPSfbKppeKu/XtKvu60SmTo1ORoTXXPVhb8pG3K3ePUhpE99j7x\n/qetyyUg4DVzWpD+f9832Wjdc4frjPejsyemvnQsU1ssFovFzWBkalPC11QKhrE5PWZC/9Gbi/ar\nbq8gc0qxR/3NTQ8y2nVcnArTFlFqcOyBUi89GF3xSUrMLEXTpVdJ5pQOeV26JMv2aFuj/rqPkayK\nMWDTHBMcp0ucy23TXB+lx3J2OtowWNLEJdtl+Q59vvHGG3ac/XilUlMMm5ibbBx9zYptkbEpjlH2\nsqpcZoPegS5VHMuu8Lo4Nqx9jsqh9G0p/daU7imtHXo/uucB1wyZ2xlvW3onOjtzYqLO/sv7n6mv\nZN/q56XHKrU/UzkuskV3nzLVXiq63O2+jGXks5Clb6quWR2L07rrkeIEU4mtKu95SSxTWywWi8XN\nYGRqlNg6qA9lJDn/7/8lPTV1xK6dxHC61KA+SDJiyXdXNoLeTRqf7BZCnwt6CdJTqrNU9VuSGfd1\nNo7EdlzcoMBEwqkYZccRU3Is6Iipcb+uF0/eopQIHVPjb366zDK6zsyQILhih2pP10u2LrEm540m\nrzdmenBMjZ65tK31dUcGTdbt7rXkSarfTtIli2fMn/PiPMoK4WI1haPSM7x/e3tO4+D64/7jMS5O\njUwp3XO97cScNQ4mpu7HCPTUdsnked3FrJz9kvcwxzpl76GX5Zkk1QSfz85Tm58pjrDKe15enTNu\nWSwWi8XiGcO+1BaLxWJxMxjVj1I/uFQ7dFpI1UsfnAwOFEz7NAU0sn3RdmdIFaWWKlHnkerIqUaY\nyJZqDsG5/TIlmKvsqz5RhUPX4Q46uFC14wz5NDQn9VC/TkcqCecur2NSmqwzBvtUV2+qeOsSF7u2\n+n90qKF6xam3BB0rlRgDaft5tI/ak7qpJ7bmHNB5iWrJvg/DZxh02++blPiZql2XVmxKzdTb6phU\nU4Rz73bnl9PMFOiuOZnCM5iYm6p+/l91/byhY43+79eJoQM0afA51+eCa5SB4W48fDY69SPvCyag\nkIq+q7sZHsFE6hpPV52mcKMpUQTXcwrb6edxqeCIZWqLxWKxuBmMTI0Bws7p46gCcgcN3QwWdFWs\nUwkDSkFOeiT7YfqaXgKCTgQ6dnK0SK7BlIr68UziTBfbqWIv++DSV1F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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -253,40 +321,37 @@ "from sklearn.datasets import fetch_olivetti_faces\n", "from sklearn import decomposition\n", "\n", - "n_row, n_col = 2, 3\n", - "n_components = n_row * n_col\n", - "image_shape = (64, 64)\n", - "rng = RandomState(0)\n", - "\n", "# Load faces data\n", - "dataset = fetch_olivetti_faces(shuffle=True, random_state=rng)\n", - "faces = dataset.data\n", - "\n", + "faces = fetch_olivetti_faces(shuffle=True, random_state=RandomState(1)).data\n", "n_samples, n_features = faces.shape\n", "\n", - "# global centering\n", + "# Center the faces\n", "faces_centered = faces - faces.mean(axis=0)\n", - "\n", - "# local centering\n", - "faces_centered -= faces_centered.mean(axis=1).reshape(n_samples, -1)\n", + "faces_centered -= faces_centered.mean(axis=1) \\\n", + " .reshape(n_samples, -1)\n", "\n", "print(\"Dataset consists of %d faces\" % n_samples)\n", "\n", - "def plot_gallery(title, images, n_col=n_col, n_row=n_row):\n", + "def plot_gallery(title, images, n_col=3, n_row=2):\n", " \"\"\"\n", " Helper function to plot images.\n", " \"\"\"\n", + " image_shape = (64, 64)\n", + "\n", " plt.figure(figsize=(2. * n_col, 2.26 * n_row))\n", " plt.suptitle(title, size=16)\n", + " \n", " for i, comp in enumerate(images):\n", " plt.subplot(n_row, n_col, i + 1)\n", " vmax = max(comp.max(), -comp.min())\n", " plt.imshow(comp.reshape(image_shape), cmap=plt.cm.gray,\n", " interpolation='nearest',\n", " vmin=-vmax, vmax=vmax)\n", - " plt.xticks(())\n", - " plt.yticks(())\n", + " plt.xticks([])\n", + " plt.yticks([])\n", " plt.subplots_adjust(0.01, 0.05, 0.99, 0.93, 0.04, 0.)\n", + " \n", + "n_components = 6\n", "\n", "# Plot a sample of the input data\n", "plot_gallery(\"Input\", faces_centered[:n_components])\n", @@ -297,29 +362,38 @@ "# We use a variant of PCA called Randomized PCA for efficiency. It uses stochastic SVD.\n", "estimator = decomposition.RandomizedPCA(n_components=n_components, whiten=True)\n", "estimator.fit(data)\n", - "plot_gallery('PCA',components_[:n_components])\n", + "plot_gallery('PCA', estimator.components_[:n_components])\n", "\n", "plt.show()\n" ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] } ], "metadata": { "kernelspec": { - "display_name": "Python 2", + "display_name": "Python 3", "language": "python", - "name": "python2" + "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", - "version": 2 + "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", - "pygments_lexer": "ipython2", - "version": "2.7.11" + "pygments_lexer": "ipython3", + "version": "3.4.4" } }, "nbformat": 4, diff --git a/environment.yml b/environment.yml index 2c39200..154e138 100644 --- a/environment.yml +++ b/environment.yml @@ -1,14 +1,16 @@ name: accessibleml dependencies: +- ipywidgets=4.1 - matplotlib=1.5 - notebook=4.1 - numpy=1.10 - pandas=0.17 - pillow=3.1 -- pytest # testing dependency +- pytest # [test] - python=3.4 - scikit-learn=0.17 - scipy=0.17 +- seaborn=0.7 - statsmodels=0.6 - pip: # Why can't nolearn just use the released versions? - https://github.com/Theano/Theano/archive/master.zip