{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Introduction to Python " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### [Matplotlib](http://matplotlib.org/users/pyplot_tutorial.html) " ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline\n", "#%matplotlib notebook" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "matplotlib.pyplot is a collection of functions that make matplotlib work like MATLAB. Each pyplot function makes some change to a figure: e.g., creates a figure, creates a plotting area in a figure, plots some lines in a plotting area, decorates the plot with labels, etc. \n", "\n", "In matplotlib.pyplot various states are preserved across function calls, so that it keeps track of things like the current figure and plotting area, and the plotting functions are directed to the current axes (please note that \"axes\" here and in most places in the documentation refers to the axes part of a figure and not the strict mathematical term for more than one axis). " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### [Gallery](https://matplotlib.org/3.1.1/gallery/index.html) \n", "#### [Colormaps](https://matplotlib.org/3.1.1/gallery/color/colormap_reference.html) \n", "#### [ColorCodes](https://matplotlib.org/2.1.1/api/_as_gen/matplotlib.pyplot.plot.html) " ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.subplots(figsize=(8,6))\n", "plt.plot([1,3,2,4,7,16]) #plt.plot([0,1,2,3,4,5],[1,3,2,4,7,16])\n", "plt.ylabel('some numbers')\n", "plt.xlabel('Simple Graph')\n", "#plt.axis([0,10,0,20])\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot([1,2,8,4], [1,4,9,10], 'yo')\n", "plt.axis([0, 9, 0, 20])\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# evenly sampled time at 200ms intervals\n", "t = np.arange(0., 5., 0.2)\n", "\n", "# red dashes, blue squares and green triangles\n", "plt.subplots(figsize=(12,8))\n", "plt.plot(t, t, 'r--')\n", "plt.plot(t, t**2, 'bs')\n", "plt.plot(t, t**3, 'g^')\n", "#plt.plot(t, t, 'r--', t, t**2, 'bs', t, t**3, 'g^') #all at the same time\n", "\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.subplots(figsize=(12,8))\n", "x = np.linspace(0, 2 * np.pi, 400)\n", "y = np.sin(x ** 2)\n", "plt.plot(x,y)\n", "plt.show()\n", "#plt.savefig(\"./myfig.png\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Just a figure and one subplot" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "f, ax = plt.subplots()\n", "ax.set_title('Simple plot')\n", "ax.plot(x, y)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "ax = plt.subplot(111)\n", "\n", "t = np.arange(0.0, 5.0, 0.01)\n", "s = np.cos(2*np.pi*t)\n", "\n", "line, = plt.plot(t, s, lw=2)\n", "\n", "plt.annotate('local max', \n", " xy=(2, 1), \n", " xytext=(3, 1.5), \n", " arrowprops=dict(facecolor='black', \n", " shrink=0.05),\n", " )\n", "\n", "plt.ylim(-2,2)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAdoAAAD4CAYAAABL9ycmAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjMsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+AADFEAAAM2klEQVR4nO3dX4hmd33H8c+3uytaTcnFDjYYp9NCEaygCUOqBIJNRaIRvfFCQUulZWnREmlBYi9avMuV2JbSdlFbi/8QNUUStQoaRKixuzFq4moR2WLQspuKGm2pRL+9mGfbdJzd5yTOb2bO6esFwz6z5+yT729/sO+cZ848U90dAGCMnzvsAQBgyYQWAAYSWgAYSGgBYCChBYCBjo940pMnT/bW1taIpwaAI+fs2bMPd/fGXseGhHZraytnzpwZ8dQAcORU1b9e7piXjgFgIKEFgIGEFgAGEloAGEhoAWAgoQWAgSaFtqqurqoPVtVXq+pcVb1g9GAAsARTv4/2z5J8vLtfWVVPSvLzA2cCgMVYG9qq+oUkNyX57STp7h8l+dHYsQBgGaZc0f5KkotJ/raqnpvkbJLbuvuHjz2pqk4lOZUkm5ub+z0nP6Ot2+8+7BHWOn/HrYc9AsC+m/I12uNJrk/yV919XZIfJrl990ndfbq7t7t7e2Njz7d7BID/d6aE9qEkD3X3vavPP5id8AIAa6wNbXf/W5JvVtWzVr/1m0m+MnQqAFiIqXcd/0GS96zuOP5GkteNGwkAlmNSaLv7/iTbg2cBgMXxzlAAMJDQAsBAQgsAAwktAAwktAAwkNACwEBCCwADCS0ADCS0ADCQ0ALAQEILAAMJLQAMJLQAMJDQAsBAQgsAAwktAAwktAAwkNACwEBCCwADCS0ADCS0ADCQ0ALAQEILAAMJLQAMJLQAMNDxKSdV1fkkjyT5cZJHu3t75FAAsBSTQrvyG9398LBJAGCBvHQMAANNvaLtJJ+oqk7yN919evcJVXUqyakk2dzc3L8Jk2zdfve+Pt9+O3/HrYc9AgBH1NQr2hu7+/okL0ny+qq6afcJ3X26u7e7e3tjY2NfhwSAuZoU2u7+1urXC0nuTHLDyKEAYCnWhraqnlpVV116nOTFSR4YPRgALMGUr9E+PcmdVXXp/Pd298eHTgUAC7E2tN39jSTPPYBZAGBxfHsPAAwktAAwkNACwEBCCwADCS0ADCS0ADCQ0ALAQEILAAMJLQAMJLQAMJDQAsBAQgsAAwktAAwktAAwkNACwEBCCwADCS0ADCS0ADCQ0ALAQEILAAMJLQAMJLQAMJDQAsBAQgsAAwktAAwktAAw0OTQVtWxqvpCVd01ciAAWJLHc0V7W5JzowYBgCWaFNqqujbJrUnePnYcAFiWqVe0b0vypiQ/udwJVXWqqs5U1ZmLFy/uy3AAMHdrQ1tVL0tyobvPXum87j7d3dvdvb2xsbFvAwLAnE25or0xycur6nyS9ye5uarePXQqAFiItaHt7jd397XdvZXkVUk+1d2vGT4ZACyA76MFgIGOP56Tu/ueJPcMmQQAFsgVLQAMJLQAMJDQAsBAQgsAAwktAAwktAAwkNACwEBCCwADCS0ADCS0ADCQ0ALAQEILAAMJLQAMJLQAMJDQAsBAQgsAAwktAAwktAAwkNACwEBCCwADCS0ADCS0ADCQ0ALAQEILAAMJLQAMtDa0VfXkqvp8VX2xqh6sqrccxGAAsATHJ5zzX0lu7u4fVNWJJJ+tqo919+cGzwYAs7c2tN3dSX6w+vTE6qNHDgUASzHpa7RVdayq7k9yIcknu/vePc45VVVnqurMxYsX93tOAJilSaHt7h939/OSXJvkhqp6zh7nnO7u7e7e3tjY2O85AWCWHtddx9393ST3JLllyDQAsDBT7jreqKqrV4+fkuRFSb46ejAAWIIpdx1fk+RdVXUsO2H+QHffNXYsAFiGKXcdfynJdQcwCwAsjneGAoCBhBYABhJaABhIaAFgIKEFgIGEFgAGEloAGEhoAWAgoQWAgYQWAAYSWgAYSGgBYCChBYCBhBYABhJaABhIaAFgIKEFgIGEFgAGEloAGEhoAWAgoQWAgYQWAAYSWgAYSGgBYCChBYCBhBYABlob2qp6ZlV9uqrOVdWDVXXbQQwGAEtwfMI5jyb5o+6+r6quSnK2qj7Z3V8ZPBsAzN7aK9ru/nZ337d6/EiSc0meMXowAFiCKVe0/6OqtpJcl+TePY6dSnIqSTY3N/dhNADmaOv2uw97hLXO33Hrgf23Jt8MVVVPS/KhJG/s7u/vPt7dp7t7u7u3NzY29nNGAJitSaGtqhPZiex7uvvDY0cCgOWYctdxJXlHknPd/dbxIwHAcky5or0xyWuT3FxV968+Xjp4LgBYhLU3Q3X3Z5PUAcwCAIvjnaEAYCChBYCBhBYABhJaABhIaAFgIKEFgIGEFgAGEloAGEhoAWAgoQWAgYQWAAYSWgAYSGgBYCChBYCBhBYABhJaABhIaAFgIKEFgIGEFgAGEloAGEhoAWAgoQWAgYQWAAYSWgAYSGgBYKC1oa2qd1bVhap64CAGAoAlmXJF+3dJbhk8BwAs0trQdvdnknznAGYBgMU5vl9PVFWnkpxKks3Nzf16WuBx2Lr97sMe4YrO33HrYY+w1lH/O0zm8ffI/9q3m6G6+3R3b3f39sbGxn49LQDMmruOAWAgoQWAgaZ8e8/7kvxTkmdV1UNV9TvjxwKAZVh7M1R3v/ogBgGAJfLSMQAMJLQAMJDQAsBAQgsAAwktAAwktAAwkNACwEBCCwADCS0ADCS0ADCQ0ALAQEILAAMJLQAMJLQAMJDQAsBAQgsAAwktAAwktAAwkNACwEBCCwADCS0ADCS0ADCQ0ALAQEILAAMJLQAMJLQAMNCk0FbVLVX1tar6elXdPnooAFiKtaGtqmNJ/jLJS5I8O8mrq+rZowcDgCWYckV7Q5Kvd/c3uvtHSd6f5BVjxwKAZajuvvIJVa9Mckt3/+7q89cm+fXufsOu804lObX69FlJvraPc55M8vA+Pt9hWspalrKOxFqOqqWsZSnrSKzlSn6puzf2OnB8wh+uPX7vp+rc3aeTnH6cg01SVWe6e3vEcx+0paxlKetIrOWoWspalrKOxFqeqCkvHT+U5JmP+fzaJN8aMw4ALMuU0P5zkl+tql+uqicleVWSj4wdCwCWYe1Lx939aFW9Ick/JjmW5J3d/eDwyf6vIS9JH5KlrGUp60is5ahaylqWso7EWp6QtTdDAQBPnHeGAoCBhBYABjoyoa2qd1bVhap64DLHq6r+fPU2kF+qqusPesapJqzlhVX1vaq6f/XxJwc94xRV9cyq+nRVnauqB6vqtj3OmcW+TFzLXPblyVX1+ar64motb9njnCO/LxPXMYs9uaSqjlXVF6rqrj2OHfk9uWTNOmazJ1V1vqq+vJrzzB7HD2ZPuvtIfCS5Kcn1SR64zPGXJvlYdr6v9/lJ7j3smX+GtbwwyV2HPeeEdVyT5PrV46uS/EuSZ89xXyauZS77Ukmetnp8Ism9SZ4/t32ZuI5Z7Mlj5v3DJO/da+Y57MnEdcxmT5KcT3LyCscPZE+OzBVtd38myXeucMorkvx97/hckqur6pqDme7xmbCWWejub3f3favHjyQ5l+QZu06bxb5MXMssrP6uf7D69MTqY/ddjUd+XyauYzaq6toktyZ5+2VOOfJ7kkxax5IcyJ4cmdBO8Iwk33zM5w9lpv9Qrrxg9ZLZx6rq1w57mHWqaivJddm56nis2e3LFdaSzGRfVi/t3Z/kQpJPdvcs92XCOpKZ7EmStyV5U5KfXOb4LPYk69eRzGdPOsknqups7bxN8G4HsidzCu2kt4Kcifuy876Yz03yF0n+4ZDnuaKqelqSDyV5Y3d/f/fhPf7Ikd2XNWuZzb5094+7+3nZeae2G6rqObtOmcW+TFjHLPakql6W5EJ3n73SaXv83pHak4nrmMWerNzY3ddn56fPvb6qbtp1/ED2ZE6hXcxbQXb39y+9ZNbdH01yoqpOHvJYe6qqE9kJ03u6+8N7nDKbfVm3ljntyyXd/d0k9yS5Zdeh2exLcvl1zGhPbkzy8qo6n52fcHZzVb171zlz2JO165jRnqS7v7X69UKSO7Pz0+ge60D2ZE6h/UiS31rdJfb8JN/r7m8f9lBPRFX9YlXV6vEN2dmHfz/cqX7aasZ3JDnX3W+9zGmz2Jcpa5nRvmxU1dWrx09J8qIkX9112pHflynrmMuedPebu/va7t7KztvUfqq7X7PrtCO/J1PWMZc9qaqnVtVVlx4neXGS3d8JciB7MuWn9xyIqnpfdu5mO1lVDyX50+zcHJHu/uskH83OHWJfT/IfSV53OJOuN2Etr0zy+1X1aJL/TPKqXt0Cd8TcmOS1Sb68+jpakvxxks1kdvsyZS1z2Zdrkryrqo5l5x+5D3T3XVX1e8ms9mXKOuayJ3ua4Z7saaZ78vQkd67+n+B4kvd298cPY0+8BSMADDSnl44BYHaEFgAGEloAGEhoAWAgoQWAgYQWAAYSWgAY6L8BY4mlJDHAQy0AAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "A = np.array([1,np.nan, 3,5,1,2,5,2,4,1,2,np.nan,2,1,np.nan,2,np.nan,1,2])\n", "\n", "plt.figure(figsize=(8,4))\n", "plt.hist(A[~np.isnan(A)],bins=10)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([ 1., nan, 3., 5., 1., 2., 5., 2., 4., 1., 2., nan, 2.,\n", " 1., nan, 2., nan, 1., 2.])" ] }, "execution_count": 31, "metadata": {}, "output_type": "execute_result" } ], "source": [ "A" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "mu, sigma = 100, 15\n", "#xh = mu + sigma * np.random.randn(100000)\n", "xh = np.random.normal(mu, sigma, 100000)\n", "\n", "plt.figure(figsize=(8,6))\n", "# the histogram of the data\n", "n, bins, patches = plt.hist(xh, 150, density=True, facecolor='g', alpha=0.35)\n", "\n", "plt.xlabel('Smarts')\n", "plt.ylabel('Probability')\n", "plt.title('Histogram of IQ')\n", "plt.text(60, .025, '$\\mu=100,\\ \\sigma=15$')\n", "plt.axis([40, 160, 0, 0.03])\n", "plt.grid(True)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "data1 = np.random.random((10, 4))\n", "data2 = np.random.random((10, 4))\n", "\n", "plt.figure(figsize=(12,6))\n", "plt.subplots_adjust(bottom = 0.1)\n", "plt.xlabel('$\\partial \\Delta/\\partial\\Phi[$mm$/^{\\circ}]$', fontsize = 16)\n", "plt.ylabel('$\\Delta$ [mm]', fontsize = 16)\n", "\n", "plt.scatter(data1[:, 0], \n", " data1[:, 1], \n", " marker = 'o', \n", " c = data[:, 3], \n", " s = data[:, 3]*1500,\n", " cmap = plt.cm.Spectral, \n", " vmin = min(data1[:, 3]), \n", " vmax = max(data1[:, 3]))\n", "\n", "plt.scatter(data2[:, 0], \n", " data2[:, 1], \n", " marker = '^', \n", " c = data2[:, 2], \n", " s = data2[:, 2]*500,\n", " cmap = plt.cm.Spectral, \n", " vmin = min(data2[:, 2]), \n", " vmax = max(data2[:, 2]))\n", "\n", "cbar = plt.colorbar(ticks = [min(data2[:, 2]), max(data2[:, 2])])\n", "cbar.ax.set_yticklabels(['Low', 'High'])\n", "cbar.set_label(r'My Scale')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "#a = np.random.random((8,8))\n", "a = np.arange(64).reshape(8,8)\n", "plt.figure(figsize=(8,8))\n", "p = plt.pcolor(a)\n", "plt.colorbar()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Two subplots, the axes array is 1-d" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "x = np.linspace(0, 2 * np.pi, 400)\n", "y = np.sin(x ** 2)\n", "\n", "f, ax = plt.subplots(2, figsize=(8,8), sharex=True)\n", "\n", "ax[0].plot(x, y)\n", "ax[0].plot(2*x, y)\n", "ax[0].set_title('Sharing X axis')\n", "\n", "ax[1].scatter(x, y)\n", "ax[1].scatter(2*x, y)\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Two subplots, unpack the axes array immediately" ] }, { "cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAtEAAAF1CAYAAAAurLZiAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjMsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+AADFEAAAgAElEQVR4nOy9eZxcV3nn/Tu1V3X1JrXW1oosywvGli0vYDY7BGMIoMAkgUDeAZI4JMObSd7EE2fGbzBM8qKMZwhMYGIIIU4CAcKYaAw4iGEMmMg2lmUZy8IWlrW39t6qu2u7deu8f9w61dXVdW/d5Zy7VD/fz8cfq2u591R1dd3ffe7v+T2Mcw6CIAiCIAiCIOwTC3oBBEEQBEEQBBE1SEQTBEEQBEEQhENIRBMEQRAEQRCEQ0hEEwRBEARBEIRDSEQTBEEQBEEQhENIRBMEQRAEQRCEQ0hEE6GAMfYBxti/Stze6xhjh2VtLwgYY4cYY28Meh0EQRAEQSyGRDThG4yx1zLGHmeMTTPGJhhjexljN6rYF+f8R5zzbbK3yxj7M8bY/2m77XLGWIExdo3MfXHOr+ac/0DmNgmCIAiCkAOJaMIXGGMDAL4F4C8BLAMwCuBjACoK9pWQvc0WPg5gNWPsNxv7YgD+GsAnOecHFe6XIAiCIIgQQSKa8IvLAYBz/hXOuc45L3HOv8s5f671QYyx/8oYm2SMHWOM3dly+wcZYy8wxmYYY0cZY7/Vct8bGWOnGWN/xBg7B+BvxW0tjznOGPtDxthzjUr41xhjmZb7/wNj7Cxj7Axj7DcYY5wxdln7i+CcVwB8CMAuxtgogLsADAP4s04vmjF2E2PsCcbYVGP7n2GMpRr3vYYxdokxtr7x87WNx13RsuY3tWzn6UbF+zxj7JNOfwEEQRAEQciDRDThFz8DoDPG/o4xdidjbLjDY24GcBjACID/AuBvGpVeALgA4BcADAD4IIC/YIxd3/Lc1TAq3BthCNtO/DKAtwDYDOBVAD4AAIyxtwD4fwC8CcBlAN5g9UI45z8G8CCAv4chnj/EOddMHq4D+P3Ga3o1gJ8D8DuN7TwO4HMA/o4xlgXwDwDu5Zy/2GE7nwbwac75AIAtAP7Jao0EQRAEQaiFRDThC5zzAoDXAuAw7A8XGWMPM8ZWtTzsBOf8rznnOoC/A7AGwKrG87/NOX+ZG/wQwHcBvK7luXUAH+WcVzjnJZNl/HfO+RnO+QSAbwK4rnH7LwP4W875Ic55EYbNpBv3whDc/8A5f9ride/nnD/JOa9xzo/DEM2tIv0+AIMAngJwBsBnTTalAbiMMTbCOZ/lnD9pY40EQRAEQSiCRDThG5zzFzjnH+CcrwPwSgBrAXyq5SHnWh5bbPwzDwCN6vWTjYbEKQBvhVHdFVzknJe7LOFcy7+LYtuNdZxqua/132avpQTgGIBDVo9rNB1+izF2jjFWAPD/ta67UcF+EMb78d8459xkU78OwxLzImNsH2PsF7qtkSAIgiAIdZCIJgKhYVl4EIZ4tIQxlgbwEID/CmAV53wIwCMAWMvDzMSnHc4CWNfy83oP22rnrwC8CGBrw4rxH9Gy7oav+qMA/hbAf2u81kVwzl/inL8XwEoAfw7gfzLG+iSukyAIgiAIB5CIJnyBMXYFY+wPGGPrGj+vB/BeAHZsCSkAaQAXAdQaDYdvlri8fwLwQcbYlYyxHIA/kbjtfgAFALONhsHfFnc0/N4PAvgbGJXmswD+c6eNMMbezxhbwTmvA5hq3KxLXCdBEARBEA4gEU34xQyMxsEfM8bmYIjn5wH8Qbcncs5nAPwuDLE7CeBXATwsa2Gc838B8N8BfB/AEQBPNO6SEb/3hzDWOwPDC/61lvt+F4bn+/9t2Dg+CEPMv27RVoyGyEOMsVkYTYbvsWFfIQiCIAhCEczcgkkQSxPG2JUwBH6ac14Lej0EQRAEQYQPqkQTBADG2C8yxlKN6L0/B/BNEtAEQRAEQZhBIpogDH4Lhuf6ZRhe49+2fjhBEARBEEsZsnMQBEEQBEEQhEOoEk0QBEEQBEEQDiERTRAEQRAEQRAOSQS9ADeMjIzwTZs2Bb0MgiAIx+zfv/8S53xF0OvwE/rOJggiyph9b0dSRG/atAlPP/100MsgCIJwDGPsRNBr8Bv6ziYIIsqYfW+TnYMgCIIgCIIgHEIimiAIgiAIgiAcQiKaIAiCIAiCIBxCIpogCIIgCIIgHEIimiAIgiAIgiAcQiKaIAiCIAiCIBxCIpogCIIgCIIgHEIimiAIgiAIgiAcQiKaIAiCIAiCIBxCIpogCIIgCIIgHEIimiAIgiAIgiAcQiKaIAiCIAiCIBySkLERxtgXAfwCgAuc81d2uJ8B+DSAtwIoAvgA5/yZxn1vadwXB/AFzvkuGWsiCIIgiLCx+8AY7nv4EKZKGgBgOJfER99+NXZuHw14ZcGx+8AY7t9zGGemSlg7lMXdd2wL5fsRhnX6vYYwvGavqHwNUkQ0gAcBfAbA35vcfyeArY3/bgbwVwBuZozFAXwWwM8DOA1gH2PsYc75TyWtiyAIgiBCwfv++gnsfXliwW2TRQ2/97Vn8fSJCfzpzmsCWllw3Lv7IL705Mnmz2NTJdz99Z8AQKjE2r27D+LLT54Eb/w8NlXCH3/jIAD/1rn7wBj++BsHUdJ0X9bg5/5UCV3Vr0GKnYNz/hiACYuHvBPA33ODJwEMMcbWALgJwBHO+VHOeRXAVxuPJWxS1nT88GcX8a8vXUKlpge9nFAwMVfFs6emgl5GV+p1jhfOFsA57/5ghbxwtoCpYtW3/RWrNRy5MKt8P3OVGqq1upJtHz43g0JZU7JtojfpJKBb+dKTJ3Hv7oM+rih4dh8YWyCgBVqd476HDwWwos7sPjC2QEALSpqO+/cc9m0dH/vmoaYYbF2Dqvfq/j2HfdnfvbsP4ve/9izGpkrgmBe6uw+Med622WuQ9XvzyxM9CuBUy8+nG7eZ3b4IxthdjLGnGWNPX7x4UdlCo8S/vnQJr/sv38e//eJTeP/f/Bhv+uQP8fzYdNDLCpRz02W8+S8ew87P7sU//njxl3OY+N2vHsCdn/4Rdj/r/YvCLWemSrjz0z/Chx7c59s+/+R/HcKbPvlDnBwvKttHoazh6o/uwT3feE76tucqNdzxqcfw4X/YL33bvQR9Z89z7+6DlgJasNSE9Me+aS7GhN0lDNy/5/AiAS0Ymyr5sobdB8YwWez8nkyVNCmCs50zJq9N5v5Un6CY/X7MXptT/BLRrMNt3OL2xTdy/nnO+Q7O+Y4VK1ZIXVwUefzIJXzwwacwnEvibz94Iz7/azegXgfe94UfKxUnYefBx4/j0mwF+XQCn/rez1DT1VQivXJxpoJvPXcWAPC5Hx4NbB1/86/HAADPnJzy7WDwvRfOAwAeeOxlZft4cO9xAMA3npF/YHny6DgA4PGXx6Vvu5eg72wDs2qrGV968qQSQRQ2rERh62PCgNV3Y5x1kjHy6SYoVVTEh3JJ5fuzOkHxKnR3HxjrKDIBYO1Q1tO2BX6J6NMA1rf8vA7AGYvbCQsm5qr4yFcOYNPyPnz9t16D27atxJuvXo2v/OYtqHOOP/j6s4FbBIKgXuf4n/tP4Y6rV+GTv3wtLsxU8NhL4ayA7T1yCQDwjmvX4sVzM7g4UwlkHc+emkJ/2miNeObEpPL9nZsuY6px4Dyk8KrJSw27SIwZlieZ/OilS81/y9420Xv8p392Xln+YwVXUMKGVRVa4KdVwgwrIQYAuk/H2m6CUlZltRWrlyZrf1bbGcyai3g7WAn0266Qc2Lvl4h+GMD/xQxuATDNOT8LYB+ArYyxzYyxFID3NB5LWLDrX15AoaThM796PQZbzhQ3LM/hP731Suw7PolvHzwb4AqD4fD5GVyareLNV63GG7atQCoRw94j4awWPvHyOIZySbznJuMc8tAZ/204nHMcuTCLN1+9GowBRy/OKd/nSxdmAACXrczj5IS6KyanJ41t1znw4rkZqds+dmn+fTq4xO1ThDX37j6IuarzE62SVg9NFVYFdqrQgH9WCSushBgADHkUenaxqgoD8iqrrUxbWGpk7c9qO16L/FYC/fsvyimwSRHRjLGvAHgCwDbG2GnG2K8zxj7MGPtw4yGPADgK4AiAvwbwOwDAOa8B+AiAPQBeAPBPnPPwdBOEkP0nJvFPT5/Gb7zuFdi2un/R/b+0Yz22rszjM48eWXLVaHF5/dVbliOdiOO69UN46lh3H2IQvHRhBttW9eOVo4MAgENnCr6v4eJsBdMlDdeMDmDtYBYvX1Tf7Hd2ugwAuHnzMkwWNWXNeWOTJezYOAwAeFlyE+P4XAU3bBzG537tBly+avHfIEEA815Pt4SpsU42divMDMFbOrpVXOeqNeVr3H1gDLPlmun9yRjD3Xdsk75fK4Erq5JrtZ0pGydaVlitP1SeaM75eznnazjnSc75Os7533DOH+CcP9C4n3PO/x3nfAvn/BrO+dMtz32Ec355474/k7GeXuYvH30Jy/tS+N2fu6zj/fEYw2+9YQtePDeDJ5aYZ/OZE5NYN5xt/uHctGkZDp2ZRrFq/uUTBJxzvHxxDltW5jGQSWLDshx+etZ/EX3kvCEut67qx5aVeRy95IOInjJE9E2blwEATimoRldqOi7MVHDd+iEAhv1JJuOzVbxipA93XL3a8+VGonfpVsHMJmPoS8VN71fVLBYG7AoYjuAtHd0qrprOla/x/j2HodUtPk2KbNl337EN2WTnz+hD+8c8fz53HxjDQ/vNt+G12n33Hdt6xhNNSOD5sWn84PBFfOi1m5FLmUd8/8Kr1qA/ncA3evQL2Iyfni3glWsHmz+/cnQAdQ68dF69OHTCxFwV0yUNrxjpAwBsXJ7DaYXWBjNOTxoHsg3LcnjFSB+OX1K/hnOFEkbyaWxZkQcAJU2wQqhvW92PZJxhXKKI5pxjfLaK5fm0tG0SvUk3K8In3vUq/NkvWudCBy0gVeFEwKjw+jrBTsVV9Rq7bV+lkE8nOstEGekZneLnBNlk3HN1fef2Ubzvlg2LhLSMbQtIREeIzz12FP3pBN5/y0bLx2WScbz1mjX4l4NnUXLhx4sic5Uajo/P4co1A83bxKX2n52X64n1ytGGp3bLSkNIrhvONQWtn1yYMcTmiv40Vg1kMFupKa/an5kqY81gBmsGM401yG+oFJaRNYNZLOtLYWJO3j4K5Rqqeh0j+ZS0bRK9ScyiOvj+WzZg5/ZR7Nw+ivffssH0cWHwBKvAiRVAhdfXCXa8s6rXaGf7soW8GFJiFTXodZ9Wz//Eu66RMgzlT3deg7/4leswOpQFAzA6lJW2bYBEdGQYn63gO8+fxS/tWG/rEvK7rh/FXFXHnkPnfFhd8Lx4bgacA1eumfeoblzeh1QiFjoRLSwMG5blAADrhrMYn6v6bjs5X6hgMJtEJhnHin6jsnppRu3QlXPThogezCbBmHyrBQBMl4xtDvclsawvLXUf47OGIF9OIpqw4N7dB2F19b11MuGf7rzGVHD7FZ/mN06aumR5b93STSgyqF+jla1CIFvIW1WJZe3T7PmjQ1lp0wpv3fUofv9rzwIA/uJXrsPee26XOm2RRHREeOiZ09B0jvfetL77gwHcuGkZ1gxm8J3nl4aIFs1jrc2W8RjDZSvyOBwyO8d8pdSoxq4bNr5IxnyuRl+YKWPVgCGehYi+OFtWvs+VA2kk4jEMZpOYVDApUXSUD2aTGMmncGlWoohuCPLlfWTnIDrTraFwtINwMBPcfsWn+Y2TCqasFAW3dBOKHHL8wVbs3D6KT7zrmuZnR6U9QdDtdyRjn51ODmS9FlFJVzEFsRUS0RGAc46v7juFHRuHsdVmGkAsxvDGbSuw98glaCEdOCKTY+NzSMbZogPU5hV9ODmuPrrNCeemyxjMJpu+9nXDRkX61KS/vugLMxWs7DeE/IqGx1dlXnW9zjFd0jCcM6q4y3IpJZVo0dE9lEs17BzyK9HL+qgSTXTmY988ZNlQ2EkgdBLWQDjSKVQQJU+0nSqwn+O/GYwCwXAuqcSeILD6HcnaZ+vJAYMRF5hJxvD7X3sWt+561NNnX/W4bwGJ6Ajw7KkpHL04h1++0V4VWvCGy1dgplLDgZNTilYWHo5dnMP6ZTkk4gs/0huWGX5j3eraqs+cbVgaBGuHjH+fm/Z34MqFQgUr2yvRCkX0TKWGOp8P0B/uSymrRMdjDH2puHQRLarc3TJbiaVJt/zjoWyyo/AwSxHg6M2ou9uuWLHo9apOUfCCWXNdKyrFfntVdaqkYbZcw1AuiTNTJdy/57D0ky2zKvGnJFsidm4fxd57bsdf/Mp1qNTqmCxqUirHZr8P2b8nEtER4NvPnUUqHsMdV6929LzXXDaCeIzhB4cvKFpZeDg+PofNy/sW3b5xWQ61OsfZ6fA06JwvlLG6RUQLa8ClWf9ENOccF1sq0cv6UogxtSJ6uqVCDADDuRQm5uTnRE+XtIbnmmF5XwqzlRoqNTkNtjONrNb+NIloYjFWVS4G4L53XN3xvp3bR02r170WdSdizVpfLwPwmi3LFok2P/zGVnRqrgtC7Heqqmp1Lk1wdqK9Sqyq4i2QXTk2+33I/j2RiA459TrHIwfP4vWXjzjOpB3IJHHDhmH84HA4R1/LgnOO4+Nz2DSyWESL5j0VUWpuaa9EpxIxDOWSvo7+nqksTJmIxxiW59NK0jIEU6Lhr1HFXdaXxKQKO0dJa04RG2j832pQgRPmKsaXfF/a+vIusTSxStN4XyORwwwzSwfQW1F3ncQSB3B8vIR33zC6QKT64Te2wmytfniSW7FTPVVhVRBV4mO73oa779iG+/ccxuZ7vu3ZatEJ2ZVjlX7rVkhEh5wDp6ZwZrqMt16zxtXzX7t1BD89W7Ac3xl1Ls5WUNbqTcHcyvrGbScCyGHuhKbXcWm2glUDmQW3j+TTvoroqbmFVWHA8CirsFc091lcaIUY7ktholiVPlmzUNKa4jmfNnznsxVJIrpaQyYZW2QbIgjAPE2DYWEiRyesDu5B+4JlYiWWvv/ixUUVeT/9xp3W1AkO+FahBexXT1V9Tvxo0pNdOfarkm4+sYMIBcLK8aarVrl6vhh9fODkJN64baXMpYUGkWrRqZKzZjCDGAPOhuQgJCqvI23DOlbk077aOURVeKjl6sZgLul5zKoVQqAPZuftHNVaHcWqjr60vK+iqaLWjKAT252RVImeKdeawpwg2jFL07Bzmrhz+yj+4zeeQ1Fb3AjeS5Mx1w5lO1bs1w5lffOx2sVsraNDWey953bf1nH3Hdvwx984qDxyzgwrq4VXUbr7wBju33MYY1MlMCz8W/FaORZZ7CqhckqIqdc5/uX5s3j95SswkHH3JXrt+iHEmDESu1cRX3Kjw4u/QBLxGFb2Z5qxckEj4tbah3WM9Kdx0UcRLZqfhvtaRHQ2qfSKRXtTnhAGhbLcfQpPNAD0y65EV0hEE53ZfWDM1C9rZdVoJW2SAtFLcdGdmgqFWPLLx2oXM0vAbVeswK27HlVmbWinU4pFMr7wXZRtVRAZy5vv+bapTcnryU1rhRtYaJXxo8IvAzoahJhnT0/h7HQZ/+Et7v8w+tIJXLlmAPtP9rCInjQX0QCwejCDc4VwiOjxOTGso0Ml2k87R1tVGDC+mJ9XKKJFlXuw3WpRrgGDpk9zTKuIzmda9iGB2UqtuU2CaMUs2o7B2qrRitmVIKvEjyhh1lT47hvmK4btFVfVfmMrxJru33MYZ6ZKWDuUxW1XrMBD+8eaaxTWhtbHq1pL6/ZFBVes6+47tknbvxC3qivfZp5zvyv9XqCjQYj5wYsXEGPAbR5tGDs2DuPr+0+jptd70st5erKEgUzCtFq/ZjATmqmF441KdHvO8Eh/CnNVHcVqrZkfrRJxsB7O+VeJnipqyKcTSDY+g0KMzkiqEgNGk2lrtVi2J3q2UkOfD78fIlpYRdtx2BdXZvYBkRcd9qpcN8xEkxioIl7ffQ8faiZiZJLBHrPaxeutux5VZm3wsi6Z2JlWKOPkJmz2HTf0nqLqIR49fAHXbxhe0Pzlhus3DqNY1fHiuXAISdmIM3EzVg8adg7ZDWxuEL7nkbaJd8sav2O/Kk7tVWHAsFkUqzqqNTXDeQplDQMtVVzxb1l+ZQCo6nXU6rzphZYt1GfLNfRTJZpow6rxza6VA7DOi+6FhA67oqnS8h00WdSUTJpzSy8Iv25YvRaZTXphs++4gUR0SLlQKOP5sQJuu8J7M+D1G4zmwp+c7s2hK+dnFuYut7N2MItiVZda8XTL+FwViRjDQHahEBMnSioi3zoxWayiP5NYcGVCCGpV1ei5NitEPi03fs7YRyOCLmX4GPsl72OuWpPaBEn0BlbRdk6qdVZ50b0g0uyIJr8mzdmh1RcsvM9BCL9O61CJ2WsZHcri2K63SRu24lcMnUpIRIcUke3s1coBAOuGsxjMJnHoTMHztsLIhUIFK/vTpveLqXznQ9BcOD5bwfJ8CqytU0jYKlSmY7QyXdIWTd0bbAj56ZIaIT9bWShAm37lirzXPNc4Uco19pNJxhCPMWn7oMZCohNW0XZOxYZZ5boXEjrsiKawVHrNYt1uu2KFr8LPKl5Olbj2S9yqjqHz4+SDjgYh5fuHL2D1QAZXrun3vC3GGK5aM9CTIlqv8465y62syIuJgFVsdZcUKI2JuSqW9S0W/KISPaVIwLYzVaxiKLvQJqS6Ej3TZoXoV2DnmKsa2xJClzFj/LeoUHuFIu6ITniJtmvn7ju24e6v/wRafeGz56q1yPuiOzXqtTfEWUXg+YlZRfz7L17EJ951jbKmPrvruO/hQ6jU6koaHO38nmTRqWHy1l2Pet5ve3OkqgZQOhqEkGqtjh+9dAlvv3bNooqlW65aO4AvPXmi55oLx2crqHNYVqJFEoZIxgiSyaK2oJlPIG7zyxNdKNcWW0qyaqvhc5Ua1g7Nn+yIBj2pIrohlnOp+SpKfyYpZR+aXkelVicRTSxARNt1EsxO/NCCndtH8bFvHlr0XaDp3PfmtSDolIkcxCV+q4q4H/nD3dYx1aHYIbPB0c/XKJApfFVmW7fSO2qqh9h/YhKzlZrU4ShXrx1ApVbH0Utz0rYZBsSY6pUWlWiRyexnhJwZU8Uqhjs0ijYr0T55omfK2iIxOKAot1nQnmwRjxlVYlnJGQBQbKtEi3/LsHMUq8YXcjZFI7+JeWRE27VjdiIbdV+0ncl3fk2a60ZYmt6c7i/KnxGZfni/bEFUUgkhe49cQjzG8Joty6Vt8+q1RhDvoTPTuHyVd4tIWDjfyH+2qkQP51KIMaOpL2imSxoGO1SiU4kY+lJx3yrRhrVi4Trm4+DkWB/amS0vzljOZxKYkSjam57oFrHel5Yj1MuaqHLT1yZhICvarp3BbLJjpTHqvmi71cEgqqDtdKuIq8xptrOOTDLW8bOnusFR5WuWKXz9sgVRJTqE7H35Eq5dN7hI5HjhFSv6kErEcGist3zRohJt5YmOxRiW9fk7VrsTnHNMFbUFo7ZbGcqlmkNQVNMpqq1f8mCSVjjnmK0u9hP3Z5JSK9HCztG6n1wq0awie6HUrETT1yZhICvarh0zF1/UJxfaFUl+p1F0wqoibqeirnodH3371aFpcJSFzOq/X82RVFIJGTNlDc+dnsbvvHGL1O0m4zFsW9WPF871logWleiRvHkl2rg/hYszwVaiZys11Op8USqGYLgviUkfRHS9bgja9pO0dCKGhMQki1aKVR2cY5GIzqcTShoLc+n5L89sKi7lBEpUgtq/mImli1WFzMvB2szO4Vd6jyrsVAf9agizg1lF3C+/bbd1iLUE2eAo8zXL9MP71RxJIjpk/PjoBPQ6x2u2jEjf9uWr+vGjly5K326QXJipYHlfCqmEdXVwJJ8OvLFQHADbUzEEg9kkCgqqwO3MVmvgHAsGnwBGkkU+k1BSiRbV5kV2jnRCSSW61XudTca7Tt+yg9hGhkQ00WAol+x4ST2XjHk6WIcloUI2dkSS3wLVDWGJ4QtDg6PM1yxb+Prx/pCIDhl7X76ETDKG6zcOSd/21lV5PPTMacOXG3FvneBCoYwVFn5owUg+hRMng22qFNFxZpXo/nQSF2dmla9DVH47pUz0pRJKhtI0RXTbPnOSqsSCYrWGGFs4KjiXijetGF4oV6kSTSzEbAhqKuHtM9JJbDIAt12xwtN2g8aOSAqLQAXMPcC9epIj6PS6Vbxms/c3LCdLdiBzX8h4/Mg4bty0DGmPX8Kd2LoyDwA4ckG9UPOLCzMVy2QOwfJ8GuOzwdo5hFXDbIy70WSnvhItGvk6ee77VVWiTYR7LhVvWjCk7KeRANIaDZmVJKKbdg5K5yAadGr+A7xnre/cPop33zC6YAQ4B/DQ/rHQjL92g53GtLCkYlh5gHth0p4Zfg2Z8dNXrhIS0SHi4kwFh8/PKLFyAMDWlUYqx5ELM0q2HwTnC2WsslWJTqNY1ZsRaEHQtHOYVaJ9E9G15v7akW2vEIhtto/MzqUTUgSuoFjRF/ihAfl2DqpEE8B8PnQnZAi+7794cVF0XlDjr2VgVzSFRaB2s5WEIYZPBd2GzMh6zWEa7+4FsnOEiMdfvgQAuPUyedF2rYwOZ5FJxvDS+d6oRBvTCqvNsd5WLG9kRY/PVpFbFszHXlSnzKw0IqmiXueIxdS14c9aiehMAhMKogBFOkZfWzxcLhmXkpzR3I+mL4qgy6XiqNU5qrV6V++8FULskyeaANTkQ7cSJluDDJzE24nH+9EwZ0a3998v24FfUXoCv4bM9MrnW4qaYIy9BcCnAcQBfIFzvqvt/rsBvK9ln1cCWME5n2CMHQcwA0AHUOOc75Cxpijy+JFxDGQSzUxn2cRjDFtW5PFSj9g5Juaq0OscK/u72znE6O+LsxWsX5ZTvbSOFJo2is5/dqLRb7Zaw4DEeEMn68inEzg5XpS+T3EFoN0KkUsZIlrWiUNZ05FuE8pC9JaquicRXSY7B9FAVT50K2Ye1Kj2szgRTWHwxYbB9xxEUolfrzsM768MPNs5GGNxAJ8FcCeAqwC8lzF2VetjOOf3c86v4w4mBmgAACAASURBVJxfB+CPAfyQcz7R8pDbGvcvWQENGE2Fr96yHHGFVcitK/M944kWFdNlfZ09xq0sD8HUwplyDfEYM7UDCFGr2tIxb+fo7IlW0VhoJkBzDXtHuSanGl3W9EWVYlGZ9mrpIDsHIVCVD93K3XdsQ7LDsWCuWoucbxRw7nUOOis6DLaSbpYHFe+RX687DO+vDGR4om8CcIRzfpRzXgXwVQDvtHj8ewF8RcJ+e4pTE0Wcniwp80MLtq7qx9hUqTnZLcqIyLrlNkS0yJEOcmrhTFlDf2Zh01srQtTKnODXCVEVbvcnAw1PtAIRXzRJtsg1RLUsS0dFq1vsw9vrKlXrAMjOQajLh25l5/bRRZGQAKDpPHK+UcCZaApD01kYfM9W1XtV75FfrzsM768MZNg5RgGcavn5NICbOz2QMZYD8BYAH2m5mQP4LmOMA/gc5/zzEtYUOfYdNwrzN21epnQ/rxjpAwAcuzSHV46qsY34RbMSnY9OJdrMygHMJ1eorkSLLOVOFdV8OomSpqOm15GIy+s7FtWUXGrxQRQwGgKR976fck1fdFLVtHNIqESnEjGlV4qIaKAqH7ods+EqUfONAs68zmHJiu5mK1HtV7ayPKh8j/yy04TBtuMVGSK60xHFJD0Tbwewt83KcSvn/AxjbCWA/80Ye5Fz/tiinTB2F4C7AGDDhg1e1xw6njo2gYFMAttW9Svdz6aGiD4+3kMi2kYlOp2II59OmPoY/WC2XEN/2tzPOG/nULvGkqYjk+wsBptVW03HgEQRXa7qYAyL/MqiGl7U5Jw4dLZzzHuivW6brBz26eXvbFX50O30im9UYFc0RaHpzA+/stVwmt//2rMdnxOm92gpIOMoeRrA+paf1wE4Y/LY96DNysE5P9P4/wUA/wzDHrIIzvnnOec7OOc7VqyIduB8J546NoGbNi9TmsoAABuXG011xy8FO3hEBiL3edgkd7mdwWwSU6Ug7RzWleh5O4fqSnRtUUqGQMTDyYydAwy7RjYZX2RlER5pUR33SqmDiM5KsoyUqiSindDL39mq8qHb6WSB6IWhK90IS1a0FX5EtFlZHqLwHi0FZFSi9wHYyhjbDGAMhlD+1fYHMcYGAbwBwPtbbusDEOOczzT+/WYAH5ewpkhxcaaCo5fm8Cs3ru/+YI/kUgmsGkjj2CX5CQx+MzFXxWA2iaTNiulQLonpACvRhbKGdcPmySADPjUWFquLs5QFsj3KgpJJFVeIeVmivazVF0wrBOYtIzLsHJTMQYh86E7FaNkCZuf2UTx9YgJffvJkc39i6MqOjcsidSncifXBznjwoPGrWm5WvY/Ce+QWGTYZv6IBPYtoznmNMfYRAHtgRNx9kXN+iDH24cb9DzQe+osAvss5by2BrgLwz43qVALAP3LOv+N1TVHDLz+0YNPyPhwfj34lemKuaqupUGD4GIOtRA+EvBKdTTbsFZKH0nSqEAPymv4ERsSdGjuH2Wsglhb37zmsNB+6HauhK1ER0U6tD2HIiu4mwoK22oThPVKBDJuMn9GAUnKiOeePAHik7bYH2n5+EMCDbbcdBXCtjDVEmaeOTSCbjPvmUd480ofvvXDel32pZHyuYssPLRjKpnB2uqBwRdaIdA4zhE9ZfTqHvqjBTyBLcLZTMtmnLKuFoKLVF1WLxc9eK9HlhpecWNp0Ek6AvHzodqLgD+6Gmya4IJvO7IiwMFSCg3iPVFd4ZTRM+tmYSkeEEPDUsQlcv3HIti3BKxuX9+HSbFW5WFPNxFzVmYgO0M7BOcdspdYxm1nAGPNl9HexWls01U+g1M7RQUSLiriM/el1jqpeR6atEt1MAJHQWNi+bWJpYTXqW1Y+dDu94H2N2omAHb9zr0S0OcGP6EEZnxU/P2809jtgCmUNL5wr4N//3Fbf9rl5RDQXFnHNuugmdEzMVXHDxmHbjx/KJTFV0sA5N81qVsVcVUedm08rFBgiWn0lWuRmt5OVbK8QlKqdrRAy91epibHcC09Ghb2jWqt73H4d+T76ylzK+G3lQGO7d3/9J9Dq83tOxlikvK9urQ9+j7wW2BVhvRDR5gQ/KrwybDJ+Wm2oEh0w+49PgnP//NDAfMzdsQj7out1jsmi5tjOodeNirDfzDRHbVuP7O1PJ9V7oqu1joNWgPnpfioq0R3tHEl59pGy1nkYiojVq3iciljR6ov81sTSwm8rR5P2c/6IRZW7mU4X5MCVXqj+q8CPCq+MSYZ+TkMkER0wPz42gWScYft6+xVVr2xcZojoExGOuSuUNeh1jmV9nSuqnRjMGQLWbICBSuZHbdupRCu2c1S6e6Kli2iTeLhknCHG5Iz9FhWS9kp0LMaQisdQ8VyJ1pEmT/SSJQgrB2BU/zR9Yf07alML3Vgf/IiQM6NXRlK7xWycuB8nFzJsMn5abejaZMDsOz6Ba0YHfY3OyqbiWNGfxunJcPrR7CDGdztK58gaInq6pEF9mOBC5ivR3UR00rTaJQurSnRWVWOhScQdYwyZZLxZRfZCuSmiF+8nnYg173e//fqiYTHE0iEIKwcQPT+xGU6tD0G+7jAlX/htabFqqvSrmVKGTcYvqw2J6AApazqeOz2FD712s+/7Xjecxemp6GZFO5lWKBhqDGUJohJdaFaiu9g5FHui9TpHWaubV6IlNeG1U6qaZywbIlqGncNCRCclVaLJzrFkMRNvqq0cQUepycKpGAz6dYfB7+xnVJvA6grA3ntubz7Gq6gPyu8uGxLRAXLg5BQ0neNmH/3QgnXDOTx3esr3/cpCTCt0ms4BIJCphcKiYZUTDai3c4gvRzMRnYjHkIrHpI3hbt2v2bS/TCImqRLd2RMNGM2FFY/7qNQWD3Ihlg5GzvziE9zhnPWJsVc6Vf+iNrXQjRgMQ4Rc0PgZ1SbodgVAxslFECcHqqAjQoA8dWwCjAE3bAxCRGdxZqoEvd7pAmX4EZXo5Xnndo5gPNE2GwszCcxWauBcze+l2GiqNIu4AwxLh0w7B+fctLEQaFSiJXiiK6IS3cFykU7EvDcW1qixcClTMblaouhPtcnO7aN49w2jC/zYYmqhH012MnDjb45KhJyZf1gGdiwtsvfvh+85SL+7bKgSHSBPHR/HFasHMJhVW8noxLrhLDSd48JMGWsGo3VZEEBz8uBwzr6IHmjxRPuN/cbCJPQ6R7Gqm/qWvTDXEMd9JmO/AaNKLdPOUanVwTmQMRHR6WTcVKA4oVyzsnPEPdk5anodep2TJ3qJsvvAGIomVzL8+D6J+tRCt/7mMFgqrFBdUe1maVGxfz+uAPSKzx+gSnRgaHodz5yYwk2b/EvlaGXdsJEVHdXmwqliFdlk3NEY5kwyjmwyjqkARn/PlDXEY8y0GisQIluVpWMugEq02JapnSMpx85RqlrZObx5osVzKZ1jaWJVIfPDoxt10dGrkXGqK6rdUkJU7N+PKwC99HmgSnRAPD82jZKm46bNywPZ/7ph48N6erKIGzf5byfxylRRa3qcnTCUSwYWcZdPJ7oOeck3qs9zkoedCESFuc9CRBuVaHn7L3bxYWcSshsLO9s5vOyjKaLJzrEksUrM8cOjG3STnVd61d+s+uSmW0qIqv2rvgLQS58HEtEBse/4BADgxs3BVKJFrunpiWhUMtqZKmmubDBDuRSmArJzdLNyAC3DTipy0zEEQhxbRSrmkgmpdg5RiTa7apBJxjBT8f47EXaOThXvdDLu6bK7lUAnehuRD93J+jyUTfpiN4h6c2GYIuPsYDc5wo+TGytBG9WTq6h9HqwgER0QTx2bwOaRPqzszwSy/0wy2lnR00WXIjqbxHRAjYXdmgoBoK8hbpVXoi080dlUvOk5l4EQoGZ2jmxKVk60sFyY2DmoEk24wCof+r53XO3LGnZuH8XTJybw5SdPNtcimgt3bFwWCfHhproZRAyaE59x0BXVoPfvhbD73e1CZZUAqNc59h2fxE0B2yjWRzgrerrk3s4hUyDapWC3Ep0WY7fVeqK72znkVaLFtsx82H7ZOaqePNF6czvE0iKofOh2rJoLe5Ggxn478RkHnSAS9P4JqkQHws8uzGC6pOHGAPKhW1k3nMOzp6KZFT1VqmIoO+T4eYPZZCB2jrlKDasHul91aFaildk5rP3JgILGQlGJTnUWoGlJEwsrmg7GgFR88X4yHtM5Kho1Fi5VgsqHbifqzYVOCSIjGXD+PgddUQ16/0sdOiIEwFPHDD90EENWWolyVrTbxsKBbFLpREAz5iq1ZpXZCuWV6MZ2reLz+lIJqfu344mWEXFX0nRkEvGOzZtec6LJzrF0McuBVp0P3U6UEw3cZBkHddIQ5feZ8B8S0QHw1LEJrB7INBMygmLdcA61Osf5QjnQdTilrOmo1OoYdCOiMwmUtbqnS/tumK3oyFv4kAWqK9Glqo4Ys7YlyLZzlDTrWD1Zw1bKmvlEwXTCW7W7UqPGwqWK2ZUrv/Pmu8WdhRW3toygxGxU32ciGOiI4DOcczx1bAI3bl7WNe5MNfMxd9G6HCgi6oay9getCERzn9/V6GK1ZulDFjTTOZR5onXkUtZRe9mUYX2QdYVC5Debj/2OQ9O55/2VLUaLp5PeKtHNpkWqRC8pRDJHJ/yuTIrJhfHG326cMbz7hvBfynebZRyUmCWfsTUqJzRGEfJE+8zJiSIuzFRwU8BWDmBhVnQY1mOXqZLRGOgmnWMga3zkC+UalufTUtdlRr0xgdCOnSOViCEZZ83JgrIpVmtdB76I+0ua3syt9kKpSzqHqO6WNW9TGsu1uqllJJ2INYV6POb85JUaC5cmVskcflcmdx8Yw0P7x6A3fCQ655FI5/AyrRAIJgaNfMadUT2hsXU/UYm/IxHtM8IPHXQyBzBfSYlsJdqFnaM/7X8lWgwbsWPnAIxqdLGiyhPdXahmW6rhUkR0l2xqIXw9i2hN7xhvB8xXkKu1umVGthkVqkQvScyGrPidzAEE12jnFS9ZxiRmw4Ufn0EZQt1PEU5lFZ956tgEhnJJbF2ZD3opzazosYiKaHeVaOM5hZIakdoJO6O2W+lLxdVVois2KtENISoroaOk6YjHGJLxzhXgZiXao0+9rOmmnmVxu1tLh2gsJE/00sHKyjEaQJNZVNM5yGPsnrBZJ/z4DHodZe53NCJVon1m3/EJ7Ni4DDEXl5RVsGYwg3MRaywslDxUohtZzX5WomcbItpuVTeXlpuO0cqcDW+2ENmymguLVR25ZOfUDGBhJdoL5UY6RydEBdltzJ0Q3ymycywZwmTlAGg6XVhRVfX0yzrRab9mr8ePz6BXoe73FRs6IvjIhUIZx8eLuCmgUd+dWD2QwbnpaIlo4YkeyjlvLGxWov20c1TElEAHlWiF6Rzd7AzZpoiWI+TLmo6MxT6FwPUuoq3SORqVaJcJHSLNhUT00iEsQ1YEUa7o7tw+ir333I5ju96Gvffc3lMCWlXV02tF1g3dXo8fn0GvqSx+X7GhI4KPPHW84YfevDzglcyzZjCDs9PhvhzYzlRRQyLGmnFwTpivRPtn55htTgl04IlWVIkuWSRYtO4fkFeJLlWt9znfWOjdzmF2gpBuWkbcvaamiO4wyIXoTcyudPk9ZEUgUiOGWmxsS8FeFDZLQysqhW4Q9p1ur8eP5BKvQt3vaESyc/jIvmMTyCbjuHrtQNBLabJ6MItCuYa5Ss1TU5efTDVGfruJCMynEmBs3hLiB0UbA05a6UvHcWZKzfpKFkJTINvOUbLwKgPzdg6vA1fKNRt2DpdCXdPrYAyukj2IaBKWISvttFqSJouaL5f4gyIoS4NdVApdJ9YJWZYSO69HdbOnV/vP3XdsW/CZAdResYmGauoRnjo+ies3DiEZomrWmkFjFPW5QhlbVgTf7GiH6aLWtGU4JRZjyKcTKARRiXaSzqGqEl01j4ETCJEtq7GwYhE9B8yL6PYKiFPKWt0incNjY6FeRyoeCzzbnfCPsAxZaSWKCR1eBF4Qr9fJelV6hO2KQZknGmHx3XsR6n578ElE+8R0ScOL5wr4vZ+7POilLGC1ENHT0RHRU6XqgkuaThnIJH31RM859USn5U4MbKXSpSoMyK9EV7S6Zb6yTDuHeTqHt8bCaq1OfuglhEjm6FR0DrKRL2oJHV4Fnt+v1+l6VVY97YpBmScaflZxVcbQ+RmNSCLaJ/afmADnwI0haioE5ivRZyPUXDhV1LBqIOP6+f2ZhK+eaKd2jmwyoUxE2/FEZyVVhgWVmm4Z75eR1lioWw5bEWtxg9aoRBNLg7AlcwjCUim0i1eB5/frdbpe1VVPO2JQ5omGX1XcsNt0nCBFRDPG3gLg0wDiAL7AOd/Vdv8bAfwvAMcaN32Dc/5xO8/tFX58bALJOMP29eES0UKMnotQc+FUUcO2Vf2unz+QTQYScZfrIl4Ffek45qo1cM6l2gc0vY5anXe1c8iKnBNUanUs6+vuiXbb9AcAep1D07m5JzrpPZ2DKtFLhzANWWnFb7+nV7wKPL9fr5v1Bj0QRvaJhh+vJ4q2JDM8HxUYY3EAnwVwJ4CrALyXMXZVh4f+iHN+XeO/jzt8buTZd2wC14wOupqWppJMMo5lfalIVaILJQ2DHjrkBzIJX4etFKuGzSBhs5KZSyXAuXd7QztCFHerRM/HwckT0VaT/mTYOUR6Rto04s6bUNd0HqpeBkIdYRuy0oof6Qgy8ZqU4Pfr9TvZQQZRjD6Mmi3JChmV6JsAHOGcHwUAxthXAbwTwE8VPzcylKo6Do5N40Ov3Rz0UjoSpaxoTa9jplLDUNZ5RrSgP5PETGVG4qqsma10H3DSimhAnKvWpJ50iTN/q8xmAGCMIZOMeZ4gKKjU9C6eaO+V724RdDJyoqkSvTQIq5VD0H7JvTV+LGzIqCT7WemNWqUfiOYwm6jZkqyQIaJHAZxq+fk0gJs7PO7VjLGfADgD4A8554ccPBeMsbsA3AUAGzZskLBs/zhwahKaznHz5mVBL6UjRlZ0NES0l2mFAr8r0U7jA5s5zRUdkNjrKQRkxoYYzCTj8uwcWt20QgzIqXxXdOuJgvOeaLcTC8kT7ZSofmeHbchKO1Hyk0ZN4EVtvYKgLSVOieLJihkyRHSnK1/tJ/LPANjIOZ9ljL0VwG4AW20+17iR888D+DwA7NixI+CkTmfsOzYJxoAbNoZTRK8ezODAqamgl2ELETs16CGdoz9jeKJle47NmKvojkS0GMoyJznmTnxh2aluZxISRXQXOwdjDOmEt8q3OEEwE9Hz6RzuGwuTVIl2RFS/s4dySUwWF/dMBDVkpZ2o+UmjJvCitt4oEtWTlU7IENGnAaxv+XkdjGpzE855oeXfjzDG/gdjbMTOc3uBfccncMXqAU/CTyVrBjOYmKtaphuEhanGwc2TJzqbQJ0Dc1UdeR8GzMxVao6mK+bSYmKgXBFt1xMNGD5lWZ7sbnYOY3/eRHtVb3iiu1WiPdg50lSJXhKEdciKoJf8pMTSpVdOVmQcFfYB2MoY28wYSwF4D4CHWx/AGFvNGiU/xthNjf2O23lu1NH0OvafmMRNm8KVytHK6kHDh3S+EH5Lx3SpCgCecqL7M8Zz/UroKFad2TmaleiK3Jg7MTzFzomSLDsH57xRie4momNSPNFm+0nEY4jHmGs7h1GJpkErS4EwDllpJYrNbwTRq3guw3HOa4yxjwDYAyOm7ouc80OMsQ837n8AwL8B8NuMsRqAEoD3cM45gI7P9bqmMHHoTAElTceNIfVDAwuzojcu7wt4NdaISvRQzn1j4UBDRBdKNawZlLIsS2YrNYwO2z/ANT3RiuwcdkR0OhmXkhOt6Rycw3SSoMAQ7d7TOaya/9IJ90K9qtfRn6FY/V4nrENWWoman1TGUA2VgzkIwgtSjgqc80cAPNJ22wMt//4MgM/YfW4v8dSxcQDATZvCK6JbpxaGnaaI9lSJNj72flWi5yq6u3QOyZVoIVK7TSwEjOZDt9aHVoQHuVslOivJzpGKm4v1dCJGEwsJSz72zUOhTuYAjMvgT5+YwFd+fAo654gzhnffEM5L4zKaIKPUSEksPeiooJgnXh7HK1b0YaWHCXuqWT0QnamF4lLrgJex343n+jX6e86hnUNVJdqJJzqbinsafiKodLFZCNLJuKfGQnuV6LjrxsKqXqec6B5n94Gxjg2FQHiSOQBjnQ/tH4PeMGnrnOOh/WPYfWAs4JUtxqoJ0s9tqGb3gTHcuutRbL7n27h116NSfhcqtknIh65PKkTT63jq2ERovnzN6EsnMJBJRGJqYaGkoT+dQDzm3p8qmglnJVd6O8E5b0Tc2W8snM+JluyJDiCdQ2zDKp3D2J83T7QQx1YiOpOkSjRhjpUoC3rISitRSueQ0QQZ9kZKFZXysFffyV4zDx0VFHJwbBpzVR2v2TIS9FK6sjoiWdGFsuapCg20iOiy+qzoSq2OOoejSnQ2GQdjQLGiphJtNhq7FVnpHJUukwTn9xf3lBPdrbHQuC/ubdgKVaJ7GrNR30B4rBxA+EVlKzKaIP1upHRaAVZRKQ9z9V0I/LGpEjjmBf5SrZTTUUEhT7xs+KFveUV4/dCClf0ZXJipBL2MrhRKNc8NXvnG8+cki9ROzDb24SRKjzGGTEJOY18rjirRktI5hGi1l87hISfajp0jGfOUE02V6N7FatT3UDYZqipblNI5ZIyk9nOstRuBqOKkJswnSmEW+EFARwWFPHl0HNtW9WN5Ph30Urqysj+Ni1EQ0RIq0blGpXfGBxEthHrOQWOh8fg4ipLtHGWbghaQKKJrNu0cSW8e7G5jv401uBfqVInubaxGfd/3jqv9Xo4lfopKr+zcPopPvOsajA5lwWDYYj7xrmscnZTI2IZd3AhEFSc1YT5R8kvgR8UTTp5oRVRqOvYdn8B7bozGuNsVA4aI9muKn1sKJQ3rhnOethGLMfSlEr7YOUTChpNhK4AhKmVXoo1hOjFbv9+0bDtHF+GeiseaQtgN3YatGPfFXTdrajqniYU9TNhHfbcStWlvMoZq+DWYw41AVBE5GFSMoR2v89qhbEfrk0yBH3ZPeCt0VFDET05No6zV8eoty4Neii1W9mdQ1evNCLmwMlOuYSDr/dwvn074YucoacY+7FgoWsmm5I3dbq6lqttK5gAM33RVr0OvexvTZtcTnU56E9Hdxn4D7iPuOOeo6lSJ7mWGTCaghmXUdzs7t4/i7ju2Ye1QFmemSrh/z+HQVuqihJsKsIpKudNtyqja2rWy+HElxItlxO8KNlWiFfHEy+NgDLhlc1REtGE5uTBTwXCf+0EmqimUteawFC/0peNNv7JKhCXDSWMhoMrOYX+suxD9lZru2IrSSsVmOkcqHnednAG05ERbiOhUwp1Qt7NtItqEfdR3O1Gq1EUJtxVgFZVyu9uU9Vmwm/rix5UQt5aRIP4uSEQr4omjl3DVmgEMhrSS0c6qRlb0+UIZ21b3B7yaztTrHLOVGgYkTI7LZ5I+eaLtZzO3kknGm2O6ZVHSnFSiDcFY1urwMBzSQU60+6Y/wJ4nOpWINQWxEzSdd902EW3CPuq7nSjF3EWJqFllAHmfBSfCVbW9xq1lJIi/CxLRCihrOp45MYV/+5qNQS/FNq2V6LAyU6mBc2+DVgT9Pts5ck7tHMk4popVqWtxUokWj/NqKZkX0d0q0TFoOke9zhFzkQFerdURjzEkrES0S9+1nUEuRHSJwqjvdsKc3tBKFPOE/fJfy0LWZ8EPr7Nd3F4RCOLvgo4KCnjmxCSqenT80ACwckCI6PBmRYsx3dLsHD40Fnqxc8hvLKzbGvkNyBTRDTuHDU80AFeVYvG8bpVit3YOrbEmmljYm0Rh1Hc7YU5vEMjME45KUkMQyPoshCn1xa3PPIi/CzoqKOCJo+OIxxhu3BT+fGhBLpVAPp3AhUJ4K9GFkiF65TQWJn3xRAtLhuPGwqR8T3RJ022vQ4htrwkdouGv24AXIYBVThR07YmmSnTPEpVR3+2ESfCYIStPmIZ7WCPrs+BnlKDd9ey953Yc2/U27L3ndlvrCOLvguwcCnj85XFcMzqIfgkVUz8Je1Z0oVGJlvG+9mcSvoho4YnOOfVEK0jnKGs6hmxaYdKN9XqthttP55hvZASc/34rNd2WiK64qHTbGeRCRJOojPpuJwreXVmX1sn/bY3Mz4JfVhZVNp8g/i5IREtmpqzhJ6emcNfrXxH0Uhyzoj+N84Xw2jkKJcl2jkpNeS52UashlYhZenU7kVXUWJixW4luVI69jOIG5u0c3awW6cb9bmPuKjaGoaQbnminv3Nh50jFw5ufTrijW/5vmGkXDOKEICzCUpbHNir+7yCJko9bdYKG3+8FlVYk88TL46jVOV63dUXQS3HMqoFwj/6eKcu1c+h1LmWgiBWlqu64qRBoRNxpOrjEjK2yk5xoYefwkJgBzIvbbs2ColLtxc7RrdotKskibcPJtlufT/QOZvnQuWQs9KIk7DYHWZfWo+D/JuzTa2PD6aggmcdeuoi+VBw3bBwOeimOWdmfxoWZslThJpOCxMbCfNr4cldt6Zir6I6tHIDR2Me5e1HZiXLNfmOh8E7L8ETbGTOe8liJtjOWW4hgp82L1FjYu5hdaUl18fCHgbCLEVke2yj4vwn79NqVBbJzSOaxn13Cq7csj2TVauVAGmWtjplKTYpQlY1oLMxLyYk2tjFbqWFFI95PBSWt5ripEJjPlXYSS9d1LQ4nFor9e6FS07tWiAEJlWi9u1hfINQd/MrtZFAT0WP3gTEUTU4Sw5oP3UoUxIiskd9AuP3fQDTj/IIgTFF6MiARLZET43M4OVHEr792c9BLccXKfmPgyoVCJZwiuqwhl4pLqQjm08brUx1zV6zqjuPtgPlc6ZKmY0jCOjjnKNec2DkkVaJr9a4Z0YAxsRDw4InW7KRzuNtHhSYW9iRWIoq4cgAAIABJREFUFdsoHNB7TYxYEfaGN5ogaR+3GdBhhY4KEnnsZxcBAK+/PHp+aKB14Eo4mwtnJI38BozGQkC9naNYsS9cWxHVa1kxd5VaHZzPp2B0Yz7izrsn2o6dY74S7W5/Vd1exB3gXERrNbJz9CKdBKggCgd0sjnIxYvHPOzWmjARtig9r1AlWiI//NklrBvOYtPyXNBLcUVz4EpIs6ILpZqUpkIA6BeVaNUiWqthRd65XURUgmUldAgx7LQS7TniTusePQfMjwX34oke7BLfN++JdvaahIfazskAEQ2sphQOZZOROKBHxeYQFbxE6amw1vSyPSRKaSLdIBEtCU2v44mXL+Gd20eVRqapZOVAw84R0kp0QWIlet4Trdb7WKzqyHmwc8jKiha2DLv+aiEYvUbclWt1W9VvIXA9DVvp1ljocqALNRb2HvfvOWw6pfC+d1zt93J6kqiJQC9CWLa1huwh0YGOCpJ45sQk5qo6Xh/BaDtBfzqBTDIW3kp0WUO/hKZCoNXOITeLuZ1S1V06h6gYy7JziC/jbMrenzxjDOlEDGWP6SAVTbdn53DpVxbYsXO4rXZTxF3vYWblCPOUwnbCHHEX5rWZ4SVKT7a1huwh0YGOCpL40UuXEI8xvOay5UEvxTWMMazsD29WtGHnkFOJ7vepsXCuUnOVEy3LTiFojh93IOizEqYm2vVEz1ei3e3Pjm3ErSeaRHTvETe5Wmh2exgJs9AK89rM8CKEZft8o5C8QhiQnUMS3z98AdvXD4Uy1cIJIis6jMhsLMwkY4jHmHI7R0nTkU2FwM7REKd2GwsBI+ZOhogesZHO4dkT7aSx0GFOdLUxnIXsHL2DbpKFb3Z7GAmz0IqiR9irx1ymz3cpJa9EHRLREjgzVcKhMwXcc+cVQS/FMyP5NI5cnA16GYvgnKNQltdYyBhDXyqOOYV2jmqtDk3n6HOTE52S3FjoohKdScYkRNzZy4n26om2M/bb7UAX8XhqLOwNrJoKRyMkUsIstKLqEQ5Lw1sUYuCi5nlXBR0VJPB/XrwAAHjTlSsDXol3RvpTuDQbPjtHsapDr3P0S6z092eSzVHiKmhaKDwMW5HliRaVaCeDWzJJCZVomxML0xIaC+2O/XYroqkS3Rt87JuHTJsKwyRSuhHmiDvyCHsj7DFwUfS8q4Iq0RL43k/PY9PyHLasyAe9FM+M5NOYKmrQ9HqoRIPMkd+CvnRcqZ2jqBkCPefCzpFNyfZEG0LQSSU6nYx7byy0PWzFvYjmnBsTCxWO/Y7HGOKx6Phlic7sPjCGyWLnv/koNRUC4Y64k722MFtXVOG0Ki6jMmx3G17iAHsNKSKaMfYWAJ8GEAfwBc75rrb73wfgjxo/zgL4bc75Txr3HQcwA0AHUOOc75CxJr+Yq9TwxMvj+LVXb4xstF0rI41M4/HZKlYPZgJezTyiYizLzgEA+XRCqZ1DVJFFEogTUvEYYkyeJ7rkMCcaADKJWNMG4pZKzV46B2MMqUTMVWNhrc7BeffGP7dCvap3t4oQ0cCqchklK4cgLPaDTpBH2D9k2F2cbGMpntSY4fnIwBiLA/gsgDsBXAXgvYyxq9oedgzAGzjnrwLwnwF8vu3+2zjn10VNQAPAj166iKpex5uuXBX0UqQgRPTFkCV0FEryK9H5TBIzCoetuEnEEDDGkE3G5dk5NGHnsP8nn0nGmzYQt1Rs2CwE6XjMVWNhxWZ6hpeIu2Q8+ifIRPSnFHZi94Ex3LrrUWy+59u4ddejPXlJPczWlTAgw+7iZBte4gB7DRnllZsAHOGcH+WcVwF8FcA7Wx/AOX+ccz7Z+PFJAOsk7DcUfO+FCxjIJLBj03DQS5HCiv4UAITOFy3sHLJyogEgn45jTqGIFtt2Y+cAgGwqIc3O0RTRDvzZmWQMFQ+NhZxzw6tsw84BGKO/3dg5mhF0du0cbirRNl8DEW7MHDkM0bJyCJaKNzXsHuGgkVEZdrINv05qonCCKEORjAI41fLzaQA3Wzz+1wH8S8vPHMB3GWMcwOc45+1VagAAY+wuAHcBwIYNGzwtWBZ6nePRFy/gtitWhso/7IVmJTpsIrok7BwSK9HphNKc6GJDuOZc2DkAYzCKVzuFwOnYb8B7JVoIYrvV75TLSvR8jrP1a3MdcVerI0WVaMeE7Tt794Ex1E0S7KITbLeQpeRNDbN1JWhk2F2cbMMPP35UpjbKENGdji4dv5MYY7fBENGvbbn5Vs75GcbYSgD/mzH2Iuf8sUUbNMT15wFgx44dofjOe/bUJCbmqj1j5QDmRXTYKtEzChoL8+kkZn2wc7gZtgJAqp2jpOmIx5ijkz2vOdGVZjSc3Up03FMlupv32m3EnWYjg5pYTNi+s3vNDw2E15tK8Wf+IiMSz+k2VJ/UROUEUYaIPg1gfcvP6wCcaX8QY+xVAL4A4E7O+bi4nXN+pvH/C4yxf4ZhD1kkosPIdw+dRyLG8PrLozvqu52+dAK5VByXZqpBL2UBhUbFWLqdo1pDvc4RU5C80LRzJF3aOZJxqekcTr3Zbu0VAtEkaDdf2ahEO3+9Vd14Tjehm2g0a7rxRJOIjj696IcOY8NdVCqIvYSMynDY0l7CeoLYjgxFsg/AVsbYZgBjAN4D4FdbH8AY2wDgGwB+jXP+s5bb+wDEOOczjX+/GcDHJaxJOZxzfOu5s3jt1hEMSrQYhIGRfDp0lehCSUM6EXOUc9yNfCYBzg3bRT4tP+2xmYjhthKdkieiyzXdUVMh4D0nWvip7Ypot6JdDISxI3RTiZiriLtesWstVawGrAxlk5EVd2EcyhGVCmI7Ua+ey6gMh8ky4/YE0e/fo2flwDmvMcY+AmAPjIi7L3LODzHGPty4/wEAfwJgOYD/0YiBE1F2qwD8c+O2BIB/5Jx/x+ua/OC509MYmyrh9960NeilSGckH76BK4WyJnXQCmBU3QFgtlxTIqK9RNwBxsFwfE7OFYFyVXd8ApJJGBMLOeeu4hubdg6b+3XtidYdiGgX+6hQJTry3L/nsOmAlfvecbXfy5FG2KqHQHQqiK3IiogL0+8h6rg5QQziKogU5cA5fwTAI223PdDy798A8BsdnncUwLUy1uA3jxw8i2Sc4c1XrQ56KdIZyadxfHwu6GUsQObIb4EQzqp80UJEZ1wmO2RTcRQn5Xminds5jMdXdfsJG604tXOkXY4Zb3qibVSLUwnnvmsj4o5EdJQxs3JEbcBKJ8JUPQTCaTHphtfqOVlY5OPmBDGIqyA0sdAFTSvHZSMYzPWWlQMARvrTePrEZPcH+kihpEltKgTm/dXKRHSlhmwy7tpvnU0mms2JXilrzivRQvyWNbci2qGdIxFvprA4oWozJ1qsxU1jYZ+CKxWEf8QYOiZzxHtgQBYQripoGC0m3fBaPY+qhSUInHxWnZ4gBnEVhI4MLuhlKwdgVKIni1XU9DoSIanAFco16d7zvtS8nUMFRU13beUAGhF3EicWOq1EC9Fd0XTAxXs/74m2b+dwM7Gw6iAFxI0nuqrXMRySvwPCOVbRdjoPPDTEM2Grgqq0mKg6WfBaPY+ihSUIVH9Wg7gKQkcGF3zruTM9a+UAgBX5FDgHJiT5cWUwU9KkJnMARmMhoK4SXarqrpsKAbkRd2Wt7mjQCjBfQXab0NG0c9idWJj0yxPt7D3VapzsHBHmY988ZHpfVKPtWpExrU42O7ePYu89t+PYrrdh7z23SxPQqgbLeB0eInuCXxSGjLhB9Wc1iMmWdGRwSE2vY/ezZ/DGbSt70soBhHPgSqFck27nUO2JnqvUXMfbAfMTC7mEallZ05Fx2BwnKtFuq+FO7RxGJdrN2G97EXfiMe4mFtJXZRS5d/dBTBY10/vDbDGwy1KpgqoUYF4nIsoUb708hVL1ZzWIyZZk53DIvx65hIszFbz7+p6ZXL6IkX4xcCU8lehCWVPWWKhq9HdJ816JBgwx6jXaz81a5kW0u0q0EN++jf1WFHFHjYXRZPeBMXz5yZOm90c52q6VKDbyucEPAeb28yDTwtLL/mo/Pqt+N9qSiHbIQ8+MYSiXxG1X9M6AlXaaUwtnwlGJLms6qrW69Ep0nw/pHJ480Q0bRMlFPF07RiXarZ3Dr0p03NvYbzvpHC4i7qgSHU3MYu0EUY62ayWKjXxuCPvJgizx1stXFnrxs0pHBgcUyhq+e+gc3nHtWldpBVFhJJ8CEB47R6E58lvuOV86EUMixpTaObIe7By5RuNjUUJzYVmruxq2Ip7rhvmcaCfDVpy/Vif7cWXnqNVtnwgQ4cFqQmGvVKGBYC5hB0EQftcgkO2vDhO9+FmlSrQDHnnuLCq1Ot7Vw1YOwLA5ZJKx0FSiZxrpGQOS0zkYY+hLJ5TaOXIe7ByiEVBGzF3JRcSdEN2uPdEO7RypeAyazh2PYW82FtrKiXZuGTEmFvZGFNpSwizWDuidKnRYUZGiEcbBMiroxWptK2HLNfcKiWgHfHXfKWxZ0Ydr1w0GvRSlMMZCNfq7UBKVaPmNnPl0IsR2Dm+NfYJ6nRvVVMc50fOebDc4zoluiPaqXkcmZn+tIkrProh244kmO0e0sIq1A3prAEbYIu5UrqfXBFgnlsrJQq9AItomz49N49lTU/jo269yNQI5ahgiOhyNhYVmJVr+x7UvHVdXia7qHu0chpD0GnMnxKxzO4fHSrSLdA7xPCdV82qjUmynep126Imu1zlqdYq4ixq9HmvXStga0cK2niiyFE4WegU6MtjkS0+eQDYZ73krh2CpVKINO4ecLOZWOOeYq9a82TkaQrL9gOQUIYKdNhY2PdGuGwt1pBIx2yed6WYaibP9VWt1W1VowLkn2kkGNREOdh8Y6/lYu1bC1ogWtvUQhEroyGCD6ZKG3c+O4Z3XrZU+NS+srOhPhUZEC090f4TsHJVaHZwDOQl2Dq+eaCGCnUbcNdM53DYWas4a8tINIeym8c+uyHVq53DitybCgVUVupcaCgVha0QL23qWEr06pCXM0JHBBg/tP42yVsf7b9kY9FJ8YySfxsRcFbqVsdAnmukcKuwcKTWNhcKCkfMQTSdEr1dPtEjXcJ3O4SHizkmKjfBEO/VgVx3sx2nEnZMMaiIcWFWhe7GhMGypFWFbz1LB7yEtJNgNyBPdhZpex4OPH8f1G4bwytHebihsZSSfRr0x+ntFY/hKUBRKGhIxtuiLWQaq0jnENkVMnRtkeaLd2jlEFdl9xJ3uSLin3FaiHeQ4O7VzaFSJjhT37j5oeX+vVaGB8DWihW09dlGRKOInXr3oTl5/2JpZg4REdBe+ffAsTk4U8Z/edmXQS/GV5sCV2UrwIrqsYSCbVNLQmU/Hldg5xJeLl4mF0j3RDk9CGGONSDgvlWgHdg6XlWjhvbZDKhFDrW4/Rk8IbmosDD92JhT2KmFrRFO5HhVitxdEoRcvutPXT82j89CRwQLOOf7qBy/jspV5/PyVq4Jejq+IgSth8EXPlGvolzxoRZDPJDBX1cG5XNuKqB6HIeJOVJLtDj1pJZOIefREO7BzNB7ryhPtoLEQgG1ftEaNhZFhqUwoNGMpXF5XZVmwEoVO1xfU78CLF93p66fm0XnoyGDB9w9fwIvnZvDhN2xxNPyhFxjpn69EB02hpClJ5gAMO4de564tC2YUq0Z120vEXaoxUVFsyy3C0+xmdHgmGfcQcac7Eu4pl2PGK04aC+POqt0V8kRHhqUyobATfvthg0KW2G1HhigM+nfgxYvu9PVT8+g8dGQwgXOOv3z0CEaHsnjndWuDXo7vNO0cM8FnRRfKNSVNhYCRzgFAuqWj2IjN8xJxBxhfgqWqN4FfrrrzRANiFLf7YSuO7BwJ9ekcTvfRbCwkO0eo6eaF7vUqtCpxGTZUVUBliMKgfwdeRmo7ff3UPDoPeaJN+M7z53Dg5BR2veuaJemHHMgkkErEQlOJXtmfV7Ltvkbj31ylJtX7XdTkiOhMKo6SJqsS7cbO4aUSXXfkQ52vRDtvLBQnQ3b3Yd/OwRc8jwgf3bzQQHR8rW4J0+V1lQ16a4eyHa84eK2Ayhi1HYbfgVsvutPXH9XmURWQiO5AtVbHn3/nRVy+Ko9f2rE+6OUEAmMMI32pUEwtVOmJ7lNUiS4JO4eESrRXq8l8xJ07O4frSrSmI+3gxMStJ7qi1bG8z6En2mEleimeSEeFbl7oXptQ2AlV4tIpqhv0ZIjdTsgQhWH5HbjBzesPWzNrUJCI7sCXf3wCx8eL+NsP3Ij4EvNCt7I8n8b4XAgq0WV1nmhRwZQdc9dsLPQQcQcIO4ecdA43EYHpRMx1JbpaqzenENrBrSfaUcRd3JlQp8bC8GPlhWbovQmFnVAlLp2iOrVBZQXUqygMy+/ALWEUxVGIHSQR3cbFmQo+9b2X8Joty/HGbSuCXk6gLM+nMB5wJVrT6yhWdQwoiqcS6RlzHpv32hEi2msl2rBzyBq24q4S7bax0a0n2s2wFcfpHE4bC6kSHUq6eaHfd8uG0B10VRCWy+t+WBrCKPaA8PwOeoWoxA6SiG7jY988hFJVx8ff+UolucRRYiSfxuFzM4GuQYz8HlAVcde0c3gTqu0UqzXEGByJyE5kkzFpOdFu1pJJxjBZdD9sxck+nQpcgdOx3wBQ1e29p82x34ml/V0QRu7dfRBf6uKF/tOd1/i0muAJg7iMsqVBBjJ+B1GovvpBVLKoqbzSwiMHz+Jbz53F/337ZbhspZpGtighKtGyM5SdMNMc+a0u4g5QY+fIpRKeT8SyHiLmBOXGMBI3MY1pD42FZcc50e4bC1VF3GnNSrT8aZmEe+wI6KXghW4n6KxoSm3wRtAxeWEiDI2adiAR3eDURBF/9NBzuHb9EH7rDVuCXk4oGOlLo6rXMaNgop9dCiVj3/0Kc6IB+SK6VNU9WzkAww7i1RNd0erIuKyIp5MxT2O/HeVEOxS4gmrNvlh33FjYqEQnqRIdGuwI6KXihW4lDALMS8waEXxMXpiIShY12TlgVDvv+of9AIDPvHc7NRE1WN6YWjg+W1XW2NeNgqhEq0rnaAhd6TnRVd1zvB1geJJl2Dnc+KHF/t2kc+h1Dk3njuwcbseMOxn77TQnutlYSJ7oUGBHQANLxwvdSlguf4fBVhJVolJ99QM3jZpBWGGWvIguazp+58vP4GfnZ/DFD9yI9ctyQS8pNCzPz08t3DzSF8gaCiW1do5EPIZsMo7Zsho7h1dk2DlKHkR0OhFDxcX+hUh1YucAgHQ85sgTXW+IdVVjv5vDVujEOnDe99dPYO/LE10f9/5bNiwpL7SABFj0WQqecrtC12mjZlCNiFJENGPsLQA+DSAO4Auc811t97PG/W8FUATwAc75M3aeq5KZsoa7/n4/njg6jvv/zavwhsuXdhpHOyPNSnRwMXfNxkJFIhowLB2y0zlKWk1KJVpWxJ2bQStAY+y3w8owMB9T57SZ0emExKrDCDohtp2mc1BOdHDYrT4DRiPuUhTQwNIQYL1O1GPyuuFU6Dq5qhHUlRjPIpoxFgfwWQA/D+A0gH2MsYc55z9tedidALY2/rsZwF8BuNnmc5Vw4OQkfu9rz+L0ZAmf+pXr6PJTB5qjvwOMuRN2DlXDVgAgn45LT+eYq+hS1pxtRNxxzl03KZa1uns7RyIOTefQ69xRZroQn0480YAhcp1UooWItivWnXqiyc4RDLsPjOG+hw9hqnElyg4xBnziXa9SuKpw0+sCTNDL6RW9HpOnUugGdSVGhjK5CcARzvlRAGCMfRXAOwG0CuF3Avh7bsQ8PMkYG2KMrQGwycZzpaDpdVyareC509P4xjOnsefQeawdzOCrd92CGzctk727nmA4N++JDopCSQNjQF6CNcKMvnRCSWPhSgljxDPJOOrcEItOrRECL55oIYIrNWf2lIrm0s7h0IM9bxtRZ+dIxJirZBPCHbsPjOHur/8EWt1+KhAD8MlfXtrFkF4XYEB0soO90MuecpVCN6grMTKUySiAUy0/n4ZRbe72mFGbz/VMvc5x1Z98B5pufCkPZpP49z+3Fb/xus3KUh96gVQihsFsEpcCtHMUyjX0pxNKRUxfOiG/sVCinQMAylUPIrpWx6BLO4xI9ShrdTTOqWzh1s5hVKLtXxWoOPQsu6lEkx/aX+7fc9iRgI4xEtCCoAWY6iqxqkpmL1e3w4RKoRvUlRgZIrqTumn/BjR7jJ3nGhtg7C4AdwHAhg0bnKwPsRjDH755G/ozSWwe6cOOTcPkcbTJSD4V6OjvQllT6ocGjIEr5wtlqds0Iu7k2DkA40AxCHfvQ0XTkXFZFRcVbOeJGc4qxALHnminItphjJ6TQS7EQtx+ZzupSqUTMfz5u19FgqeFoAShH1ViFZXMpVDdDgsqhW5QV2JkiOjTANa3/LwOwBmbj0nZeC4AgHP+eQCfB4AdO3Y4nv5B2c/uWJ5PB+uJLtWUXy1QYecoVvVmfJ4XRCXaS8ydDDuH06xoIbqd7jedcOiJdjgMxWljYVWv0wm3S9x+Z5tVq9q5dcsyfPk3X+1+gT1IkILQj8YuFZXMsEQDyiDsFXXVQjeIKzEyRPQ+AFsZY5sBjAF4D4BfbXvMwwA+0vA83wxgmnN+ljF20cZziQAZyacCHf1dKGsYzKpNYpTdWFivc5Q0eTnRADwldBiNhS7TORoWEqcxe/OeaId2joSz4S5OK9GxGEMyzhx4ou3H5xFyuPuObZaeaKo+mxOkIPSjsUtFJVP2unv5SoAMgrYcycazOuGc1xhjHwGwB0ZM3Rc554cYYx9u3P8AgEdgxNsdgRFx90Gr53pdEyGP5X1pXJodD2z/hZKGDYqzu/tScivR5ZoOziHdzuFlPV6GrQDOpwjOp3M4rUTHm1Mq7VDVjffFieXCSQKIk5HihBzEAbY9nWM4l8RH3351Tx2AZRNkVrQfjV0qKpky193rVwKIxUgp8XHOH4EhlFtve6Dl3xzAv7P7XCI8jOTTmC5pgXlDZ8r+2DlKmu44xs2MYqNqLLWx0IOILlW9DVtxs38vjYVO/NduKt4pB5aRak2nSnQA9Fq1yi+CzIr2q7FL9mdD5rp7/UoAsZglP7GQsEaM/p4sVrFqIOP7/gslDQOK7Rwiz3muWpMy3lxYL7IyPdEu7Rycc1Rq9WbKhlPSLkW8l8ZCJ57oisNhK+Kx9tM5OFWiicgQZFZ0VCP2ZK47qlcC3FpQwu7B9gMS0YQlYmrhpdmK7yJar3PMVOQIWyv60safwWxZzr6kVqJThoBza+dwa6sQZJLO0iya+9Xc7deoRLtpLHQooh3kRCfjlBFNRIOghWxUryDIWncUrwS4taBExYOtGhLRhCXLA5xaOOvDyG9gXkTL8kUXGyPE+yR4ojMe0zlEBdm9ncNtJdqnsd8uKt7kiSZ6magK2V4gilcC3FpQyINtQCKasESM/h4PYOCKGPk9oHDkN/D/t/fuQXJd933n99e3n9M9gwFmgCEwJEhKoknJpEXasCybFZdESZZEJSYsr2M7saxKUpG3Kt6yd72MEWdrLdV6y6hoE7tqy+VaRfaWUlHsKJb1cKSNJItSFKlKtklRjEjxIZkSHwAIYAbz7Pfj7B/3np5Go2/fxznnntM9v08VCoOZ7j6nuwf3fu+vv7/vz0/nAKBt4IoJO0daT7RMuqioVqITR9ylTOfwvHQRd4nsHPGnInZ6A6Mj5xlGN/wRuz1m8ZOAtBYU9mD78NmBmYr0RNsY/b0TdOYbr0QXZSVaT8xdXaudQ80TfVCJThlxpzxsJenY72SNhZ20nugEdo6kFwIMYwv+iN0+s/ZJQFoLik3rikvw2YGZymIpj6KXw4aFqYUHleiMPNGa7RxacqKHdopklWBJK+XQE8lBOkdST3QfREjsJy7lc+j2BQYxxz63u9I2Ev/5lRKMFuex38wsMe0j9iz45OMXcP/5R3D7uc/g/vOP4JOPX8hkXSY9D7/9zhs+qYxjQUl7v3mDK9HMVIgIK7WilUq0zAs2nc5R0+yJPrBzqO87lyOU8jkFT7QvflUr0UntJK2ggkuUVET763X6A5Rz0cI4bSVaXujEeXyeWMjMCjY/Ys+yCj7PlpWsn1taC4pt64orsIhmIlmtlbBh1ROdUWNhTGEVhUzn0DH2G/AtHek90UElOqGtQlLwcvBylCKdo5/YygEciOF2dxCrep42nWO7GTPirjfgnGhmZrD5EXtWjWbzbFmx9dzSWlBmzbpiAj47MJHYq0Rn44muabZzyAOgjsZCwP+ILK0nWu4lbcQd4Fss0uREp/ESy/vE9UVLEZ3ENpI0naPAdg5mRrD5EXtWVXDblhWTzPNzm1f47MBEslItWUrn6IHI92WbpFzIIUd6I+68HGmrYFYKXvqcaMXGQv++3tBbHXvd3gClFGseiOh4IrcdeJaT2EaSDFtpcyWamSHO3reO3333PVhfroAArC9X8LvvvieTamFYtVt3FXyeUyHm+bnNK2znYCJZrRWxUe9ACJHY46rCbrOLWimPnIZR3NMgIlRLeX3pHO0+FgqetteqrCCiDzzR6SvR5XwuRcSdop0jrsjtDlBKKHKTTSzkdA5mtrD1EXtWGcm6LSsu+as58eJGXHp/JsFnByaS1VoJnd4Ae5oqtXHZbXWN+6Eli6U89lr6Ggt1WTkATZ5oFTtHwUMrxcTCdHaOZJF6nX7yinfyiYV8mGSYKLKqguu0rEgP8oXtJgQOPMi2UkU48eJ6XHt/JsGVaCaS0azorEQt4KdzmPZDS/xKtCY7R7evJd5OouKJliI67bAVIGNPdCCIY3uWU9gt4o4W7w8EBiJZ8gfDuICt6l0WVXCdqRCuTd3jxIvrce39mQSLaCaSlZGphbevVjNb169EZ/MrWi3ltaVzNDs9LGiIt5OUCx62GukaO2UFWdUTnTidI6WdQ1ozkkwUTCpySzHtHAdNiyyimdlhntMrJLotdjDlAAAgAElEQVTEuoseZE68OMDF92ccPjswkaxU/Ur0RsYJHbvNbmaV6Fopr3HYiuZKdFHFE60WcQcoVKLTNBYWzItoaecQYvpAlzQjxRnGNpzwEJ+smiGZdMzC+8NnByaS44t+JTrrrOi9Vi8z+0i15GlM59DsiS7k0Ept5/DtDirNmakq0d1BKuE+9ETHFO2dFBMFi14OQgC9iKmIaQa5MIxtZqF65wrsQXabWXh/2M7BRHJ04cATnSV+JTpDO4emdI5Gp4e1pZKWxwLUIu5a3X6qivAopXwutqiVtHvp1pU+6riNf2lsI1IURzUNDkV0wtHlDGMTWwkPrqcoTMKEB3kWX4esSPrazIJHnEU0E0kxn8ORSgGb9ewq0f2BwF47u0q0fjuHRk+0op1DJZkDCHKiM2osHJ1YGIdUjYUjIro65Vqny3YOZgbJKmpulFn2Yev0IM/y62CatK9N3PfH1sULnx2YWGQ9tXA/iJvLOp0jyicbB+0RdwUPre4Agwj7wSR8Ea3237xciJdmMYovohXsHIY90UB0tVv+nBsLmVnCxsAV9mH7uPA6fPLxC7j//CO4/dxncP/5R5yJgzP52tiMwuNKNBOL1VoJVzP0RO+2gpHfGaVz1Ep59AYC7d5AuXLb6PRR1SyiAV9YJhXnrZTe5FFK+RSV6G5faex3J2ZOdDuNiPbixegNGwtZRDMzRtYJD+zD9rH9OrhcCTf52tiMwuOzAxOL1Vox09HfO81ARGdViQ7EqWpz4WAg0Oz2UdEccQcglaWj1dNh58gNJx/GJW06R9KJhZ0UtpG4a3BjITPLZFmRtJGi4GLF1XaahAuV8DBMvjY2L1747MDEYqVawmY9OzvHQSU6OzsHAOXmwlZQQdU9bAVIKaK7faVBK4BM5+jHtrr0+gP0BiKlnSPh2O+UOdEAV6KZ+SXrj7ezTlFwdZKd7TQJ25XwaZh8bWxevPDZgYnFSq2I7UYX3ZipCarsNqUnOhs7x2JgG9lrd5UeR4pwnSK6HDxWmqmFrW66ivAopXwOAwF0+/FEtKzgprFz5L0cvBzFnliYxnsd2xPNjYXMjJJ1RTJrH7arFVcbfvRRbFfCp2HytbF58cKeaCYWq8HUwmv1DtaWysbXm9VKtBS6qtXfUeRjJfUly/vInO+0SDtIq9ePJShlskYaES3v147pie70knuvi54X3He6iO5yYyEzo9ioSGbpw3a54mpz4mDaZJaski1MvTY2o/BYRDOxWK3JqYXtbER01p7ooYhW80Q3uv79dUbcqdg5dDRKlmRjY3cAxHjrpRWjlHLdYj5+GkiqYStJ7RxciWZmDFtZ0Vkx788vLWnEpGozoiu52LYuXlhEM7FYCSrRWcXc7bZ6IAIWS9mlcwBQzopuBJXohZLOsd++iEtn5+ijrCgCZaU3biVc3i6tl9gf7hItooUQqfKoD+wc058PNxYys4qNrOgsmdfnp0OQJhWTKskWLqeBZAWLaCYWK9VgamFGA1d2m13USnmlcdVJ0FWJlkJ3QaOdQyWdo6lp2AqA2BYLWUVOu24p78WaWNgbCAiRXKxzxB0z78zCpDcVdD4/VyqptgSpijXGZrScK7CIZmKxGvhqN/ayqkR3M/NDA0CtqLkSbcDOkdYTrTxsZViJjj+KG0DqdYsxPdEHthGOuGOYcbL8eNuGENXx/FyqpNoSpCrWGJe96VmhdHYgomNE9AUi+k7w99EJt7mFiL5ERE8T0VNE9GsjP3s/EV0gom8Gfx5U2Q9jjsVSHkUvh42MKtF7rV5mfmgAqJZkTrRaY2Gj44twrRMLU6ZzCCH8YSu6PNExK9GtYWNh2kp0PDtH2kpx3Ig7OfabGwuZWSSrHGVX4+bi4FLKhy1BqpJs4XIaSFaonh3OAfiiEOIOAF8M/j1OD8BvCCFeC+CNAP4ZEb1u5Oe/J4S4N/jzWcX9MIYgokxHf+82u5lNKwT8aLVSPod6R1cl2n5OtKqtQpK2Ep02Wq+Uz8Wyc3RSNjAmHfvNlWhm1shS2LokRJPiUiXVliBViZ6znYvtAqoq5SEAbwq+/giALwP4zdEbCCEuAbgUfL1HRE8DWAfwbcW1mYxZyXBq4W6rh5uPZns1WyvlNdo57HuiZTU3a0+0FNtpx40XY1ai5X5MeaJlLjZ7oplZI0trgEtCNCkupXzYbJZMa42Zd+99HFRF9FogkiGEuEREJ6bdmIhuA3AfgL8a+favEtEvA3gUfsV6K+S+7wPwPgA4ffq04raZNKzWStjIshJ9cimTtSTVUl5DY6H+iLtSPgcioJXQztFS9CYP1y9kXYn2sN2I/j1LG0EXN+KuPbRzZNPcOm/wMdseWQpbl4RoUlxK+ZhVQWozF9sFIs/0RPSXAG6a8KN/mWQhIqoB+DiAXxdC7Abf/kMA/wcAEfz9rwH840n3F0J8CMCHAODMmTPxRqcxWlmplvDcK3uZrLXb6mY2rVBSK+Wx31KvROdzpNUCQESoFLzElWjZiJi2IiyR94/b2NhWrESXYuZEDxsLDeZEF70ciFhEp4GP2fbIUti6JEST4ppwPeyCdBaJVClCiLeG/YyILhPRyaAKfRLAlZDbFeAL6I8KIf585LEvj9zm3wL4z0k2z2TLaq2IjXoHQgijwmIwENhv9zJN5wD02Tl0NhVK0olo3XaOeJXolmoluuDFGvvdTlmJzucIRNGe6G5/wFVoZibJUti6JkSTYkK4uhKbx5hHtdT3aQDvBXA++PtT4zcgX239EYCnhRD/ZuxnJ6UdBMDPAHhScT+MQVZqRXR6A+y3e1g0KHD32j0Ikd20Qkm15OGqoue70elp9UNLygUPzU48ESsZVqJV7RwJh62ojv0uenEr0YFYT1jxJiIUvVy8SjQ3FTIzSNbC1kYF1VWh6lJsHmMeVRF9HsDHiOifAHgRwM8BABGdAvBhIcSDAO4H8B4A3yKibwb3+60gieNfEdG98O0c3wfwK4r7YQyyOjK10KSIHo78zjCdA/A90d/fbCg9RqPT1+qHllSKXuKc6OZQROupRMf1RB94sVPaOQrxcqJVxnLHGS3eTTFSnGFcYZ6tAS4LVR5AcrhQOtsLITYBvGXC9y8CeDD4+qsAJn4mKoR4j8r6TLbI0d8b+23ctlo1ts5uKxDRGVeiddg5mp3+DZE/OlDyRGuqRMeeWNhVm/QX1xPdSemJlveJjLjrDTgjmplpXK3WquKyUJ3ltBImOTyxkImNHP1tOqFjt+kL2aw90TrSORqd/nBwi04qBS/xsBXVoSeSXM63P8RP5/AruGlHtsepEst1gHQiOo6do82VaGaGcblaq4rLQnWW00pcxeWLQT5DMLEZ2jkMTy08qERnb+dodPoYDNIHCTS6fVQM2DnKxeSV6LairWKUUiEX207S6vZT+6EBX/R3egMIMf19ULVzxJlYyBnRzKyS5RCUrKYjSlyelOfCAJKs3w+TuD4Rk88QTGyOBZVo01MLDzzRWds5gtHfClMLG+0eFozYOeKLWIm8vY60kHLBi53O0e4NlKrfpZgTBQ8q0cnXiiOiO1yJZmaYrKq1NkSOC0I1DJUJgDpwXXQmxfWJmGznYGJTzOdwpFLAhuGphbtBVnP26Rz+f4d6u5+6cdJvLHTFEy3zmtWFYCmfQzt2OkdfyYd94MGeLsY7cmJh2kp0jIg7rkQzs0pWtgIb/mTXY/VsNnW66hdPa8lw2boDsIhmEuKP/jZbid5pdkHkN/pliVxPpbmw2TWUE11M44nWZ+coF7xh6kYUvvjVIKK7A6Acfjspgk15ormxkJllssqKtiVydAhVl722aXFRdKr48133mPMZgknEarVkvBK90+hgqVyAl7IxLS3VoqxEK9g5TOZEWxq24j9Gbpi6EUW711daU1afo9JAhikghjzRnBPNzDJZ2Qpc9idPY95sDxIX3w8VS4bL1h2AK9FMQlYXi3ju8r7RNbabXSwvZGvlAIBaWa0SPRgItLoDI42FlULynOhWr4+CR1ouRkr5+JXoVlexEl2IOZa7PwCRP4EwKcW8h53Aex/++IIr0cxMk4WtYFbHfrtqe1DFxfdDpTruunWHRTSTiJVqCRv7m0bX2Gl2cSRjPzSgbudoBAetmqGIu25foNcfIB9T2LW6fZQV4+0k5UKSiLu+UmOh9CFHNTJK20iaEfTx7BxqKSMM4wKmLQuui5wwXLM96Hqfkr4fWVhaVC0ZcS4GbVlzWEQziVipFbHd6KLbN+cX3W7YEdEHjYUpRXRwP1MTCwGg1RuglkBElzQlhZRjVG4P1h1gtZb+NZCV6CgR3VGIoCvlc8PGxNDH53QOZsbJKit6FqcjuuS11f0+xX0/svr9MF0dt5mJzmcIJhFyauFW3Vxz4U6zi+WForHHD0MOSUkromUF20RDpPQYJ2kubHUHytMKJaUMK9HyvpHDUHrpLxJipXP0BApetr58htGJ6/FgNnHJa2vrfcpqXdP+fJu/51yJZhJxvHYwtfDE0pToBAW2Gx0sW7VzJPMeSxqBwDUVcQcgkS+61dU3gryc9+KP/e6pifdizDHjbYVKdCw7B1eimRnHNcuCS7hkQ7H1PulYN66NwuSnFTZ/z1lEM4mQlWhTCR2DgbDmia4UPORIvRJdNVCJlnaOJAkdOjOrSwUvdiXan1ioPmwlKg2k0xsMrR9JiZPO0VZ8HgxjG5csCyZQ9cG6YkOx9T6pruvKaHmbv+dcZmESsSKnFhoa/b3f6WEgYCWdg4hQLebTNxZ2DIroFHaOZlctam6UUj7+xMS2grj11wrsHDEmFqauRMecWMiNhcwsk4VlwdaI6XmKqLNlLVFd1xW7kE1rDleimUTISrSpgSs7Db95zUYlGvAFcPpKtH8wqRrKiQaSVaJb3f5wVLuO9eOO/W4pive4do6OwlCXKE/0YCDQ7Qu2czAzjWnLgs1K5DxF1Nmylqiu64pdyKY1h0U0k4ilch5FL4cNQyJ6OxDRNhoLAb+5sN5RS+dwyc5x81F9EXed3gCDgUBuSi6zEELvxMIpqDQwFr0cun0R+nwOpiGynYOZbUxaFmwKWVcEXBhJrSa2rCUq67pkF7L1+nGZhUkEEWGlVjTmiZYxarYq0bVSPnVjYb0jK9Hm7BytJHaOjk47h5wiGJFo0RcQIt0o7oO1EkTcKVSigXDLiMo0RIZxCZN2C5tC1sXJfJJ5sppMw6WEE1vwGYJJzEqtiE1DInq76Ve4bXiiAX9q4X4rXh7yONIGsmBo2ApwkAASB63pHIV4Fgs51VBp7HchbsRd+op3KUpEB8+DPdHMLGNazNkUsi4LOFe8wqbJarS8y7Cdg0nMSrWETUM50UM7hy1PdDGPjb10z63e6aGYzxkZQlMu+o/ZsJTOUR5G7EUlWkgbhELEnRffE61ciQ4R6rIKzpVoZpYxbbewOWLapYi6cVy3mujElYQTW7CIZhKzWivhu1f2jTy2tHMsWbVzpPNE19s9I02FwIFFpBnTry2EQFNjJVqK4qiEDvlzlUmJBY9AFMPOoZDjLIV6lIjmSjQzy5gWc7aFrKsCziWvMGMWFtFMYlZrRVzdb0MIASK9E912ml2UCzltXt6kVEt5hcbCvpGmQiC5nUNWjCua/Nny/YgStjrEJxEFY7mjq94q6RxAuIjusIhm5oAsxJyrQjYK1Yzpadis0DPZwmcIJjErtSI6vUHqiu00/GmFdpI5ANWIu56RpkIAyOUI5UIutoiWB++KprHf0hMdVYk+8BKrXQQVvZzZSnRsTzSnczCzi8u+YZuY9oqzV/jwwJVoJjEr1YOs6MWyXtvFdqNrrakQAGolD92+SBWf1uj0UTXQVCipFvPDgS5RDEW0romF+Xhjx2UFXGXsN+DbQSLHfitMFIyyc3AlmpkHbNstXCWLaD7bFXqTlXbmABbRTGJWFwMRXW/jttWq1sfetjTyWyLtGPV2coG23+5hsWzuv1Sl6MWvRAdiW5+dI17snK4KbimfTSU6bA1uLGTmBZNiblaF2rw3/rkyjvswwGcIJjFy9LeJgSu7zojo5JaORsecnQMAFooeGjEzrJudwBOtOSc60s6hqRJdjBDRcqKgeU802zmY2cdEVvQsZyG7nDGtg8MSsecCLKKZxKwGo79NDFyxb+fwRXAav3e93TeSES2pFPOxI+4OPNF6c6JbmVWivakTC6WXOW2lODonmivRzHxgSuy6ItTSXCDMu1d83irtJgcGqcJ2DiYxx4JK9KaBSvR2s2Nt5DegVomuG65EV4te7Ii7xtDOoXliYWRjYVDBVfVE53NTPdFDkZsyk7voTR/owsNWmHnBlP/XBaGW1rbgmldcty1mniL2XLemsIhmElPM53CkUtA+tbDV7aPVHVi1c9SCSnKaSrTJiDvAt3Nc2ok3TbGlvRId2DkiKtFyXdWIwqiIu6HITblOXDsHV6KZWceU2HVBqKlcINhu/JOYEImuReypXCRk0QSqgtIZgoiOEdEXiOg7wd9HQ273fSL6FhF9k4geTXp/xj1WakVsaJ5auBsMWrErov21k4roTm+ATn9gbNgKENg5kkbc6apEy8bCuJVoRfEZ5YkeepbTVqKHdo7Jz4eHrTDzgin/rwuWCBeq4aqYsMW4FLGnaidy/T1WPUOcA/BFIcQdAL4Y/DuMNwsh7hVCnEl5f8YhVqslbOzprURvByLapidaRtQltXNI+4TRSnTBix1xJ8W2trHf+ZjDVoaNhRo80VMr0Wq2Ea5EM4cFU2LXBaE2Dw2CpkTi2fvW8bVzD+B759+Fr517YOL7koXXWPUiwfX3WPWM/xCANwVffwTAlwH8Zob3ZyyxUiviO5pHf283AhFtcdjKQWNhvIqvRFauTeZEL5SSRNzpsVVICh4hRwnGfiuKz1Ihh84UT3RH2RMdNfabh60w84FJ/69tS4RrtoU02LLFZOU1Vr1IcP09VhXRa0KISwAghLhERCdCbicAfJ6IBID/RwjxoYT3BxG9D8D7AOD06dOK22ZUWa2V8PXnN7U+5nbDt4fYrUSnayyU4ta0J7rZ6ccat97UXIn2R3F7MSYWDpAjIJ9TGwdfiphYqOq9jsqJ7vQGIPIvHph08DHbHWyLXVO41iA4SlwfsC2RmJXXWPUiweX3GIghoonoLwHcNOFH/zLBOvcLIS4GIvkLRPSMEOIrCe6PQHh/CADOnDkjktyX0c9KrYitRhe9/gD5lNXAcXYc8EQXvByK+VxiES1vbzYnOo/eQKDTH0RWSJvdPvI5QkHTewP4MXdRdo5mt49KwYsU+VGUItaSB/+0do44EXdFL6f8PA4zfMx2CxODUVwYtuLiBUKSKq8tkZiV11jHRYKL77Ek8owvhHhr2M+I6DIRnQyqyCcBXAl5jIvB31eI6BMA3gDgKwBi3Z9xj5UgK/pavYMTS2UtjzkU0RYr0YBv6UjaWFhv6638TkI+drMTPU1RilmdlAvRlehmt6+lmbGU96ancyh6r6PtHANuKmTmBhMf3bsePRaFyQuApFVeGyJRp41k2muZxUWCzYs51bPEpwG8N/j6vQA+NX4DIqoS0aL8GsBPAXgy7v0ZN1k1MLVwu9GFlyMsGrRExKFa8pJXorNoLAzEaRxfdLOjR8yOUsrn0JoyAAUAWp2+Fh92MSInWjXCL5cj5HM0VUQX2Q/NzAkmEiBcGbaSBtPTFl1PlAD0NZzGeS3jNDmmxfbkTFURfR7A24joOwDeFvwbRHSKiD4b3GYNwFeJ6AkAfw3gM0KI/zLt/oz7rC76lejNur6Ejq1GB0vlvPWP0KvFfOLGwqGdw6CIrgRWkTgJHboqwqOUC95UYSvX1VGNLwURd0JMdgG0euqNk8UpWdTtXp8r0czcYELUzYJQDMP0BYDriRKAvnQV2xdTttdXOuMLITYBvGXC9y8CeDD4+nkAr09yf8Z9VgxMLdxqdIbTEG1SK+VTVKKDxkKTdo5Cwkq0ZjtHqeBFVqJ12UjKBQ9CINT/3RraOdIL3WI+F+qJ7rCdg5kjTCRAuDBsJS2mLwBcT5SQ6LCR2L6Ysr0+nyWYVEhP9IbGqYXX6h2sVEvaHi8t1VJ+aM+Iy17L93Mvls35uRdKCUS0gUq0b+eYvnZDk51jOCExRLQP0zkULBdFb1olesAZ0czcYCIr2oVhK0C6rGPTlWIXMrSzwnbV3fb6fJZgUrFUzqPo5bR6orfqXRyt2m0qBILGwlYyEb3f6iGfI6XKaBQLgZ2jaakS7ds5osd+6xDv8nUME+0tDUNdptk5uBLNzBMmRJ0LQjGtHzaLCwCTPmCXsH0xZXt9ux1czMxCRFipFbGpsxLd6OCHq8vaHi8tadI59lo91Az7uaXXOE6VvNHpa48KLOdzuBKVztHpo7KsLqLlQTHsgkHHUJdiPod2aMRddAIKwxx2bEePpc06dj17eJaw/VraXp9FNJOalVoRm3U9lWghBLbqHRxdcMATXU4uovfbveG0Q1NUEniidVWERynFqETr8kTLx2iFNDK2un0U8znkFIa6TLNzdHoDo02iDJMlsx5HF4aKH9b2BcA8Yfu1tLk+nyWY1KxUS9o80butHnoD4URj4VK5gEanj25/EHtYyV6rZ9QPDRwkf8Syc5jIic7n0I4x9rusxc4RXYkuq44Wn5rOMcDRBbZzMPOBiel0LgxameXmRtO48P4cBvgswaTm+GIJV/f0iOitoKLthIiu+GJ1L4Eveq/VNZ5vnSQnutHREzU3SrngoRVVie70hykiqmsBuOHEL2l1B8oNjJGeaIP+dobJEt0JBrazeSW2/bC6SNMcGfV4Lrw/hwE+SzCpWVsq4cpeG4OB+kTfaw1fRB91QUQHFWWZuBGH/XYPi2WzIrqUz4Eofk60jorw+PrT0jmEENpSQeRjhDYW9tTXmRZxJ8d+M8w8oDvBwHY2r8SF5kZVTAheV96fwwDbOZjUrC2V0R8IbNY7OL6oFk03rEQ74IleChrydptJKtE9vOaE2f9ORISFghdZie4PBDq9gXY7x0LRQ7PbhxBiYgNluzfAQKglZkgqMSLuVOLtAN8THfYec2MhM0/ozi22nc07im0/riomrDYuvT/zDpdamNScWCwDAC7vtpQfa9MlO0dQUd5NWIk23VgIAAulfKSIlpVq3XaOSjEPIaKzm/UMW/EPTeGe6IFynGCUnYNzopl5QXfF1nY27zxhQvDy+5MdfJZgUrO25Fefr+ypi2i3PNGyEp1ARGfQWAj4wjjKziFFtu50iepw2Mvk9WU1RYudI9IT3UdJ2RPtTbVzcE40M0+cvW8dD7/9TpxaruDidhMf/NyzqS0Ds+5F1u1BVlnHhOCd9fdnlmA7B5OatSVZiVZvLrzW6KCYz2mvnqZhKKJjVqJb3T46/YFxTzTgHwijKtEynq9a1Luf0Yi9lQk/l1VjLZXoSE/0QDkHOyrijivRzDyhM+bOdjavClnF/cVdx8SI8LjvDyd4qMMimkmN9EHrsHNs1Ts4tlA0OqwkLkM7R0xPtBStWYjoaikfGXFXlyJaeyXaf7wwES9PAlrGfucjRHSnjzVFH34xn5uYe90fCPQGgj3RzFyh23s7q15kEx5klXVMXZBEvT9ZZofrEOuuCn4W0UxqCl4Oq7Winkp0veuElQPwK7g5il+JllF4mXiii15k9N6wEl3S7YmebueQglfHpwkFj+DlKNzO0esri3U/J/rGx5fVaY64Y+aJeW42SyKwsnodkqxj44Ikq4sJHWLd5WFBfJZglDixWMYVDZXoa/W2MyI6lyMslguxPdH7GYroxXJ+WGkOo9HuG9nPQsTERPl9HZ5oIkKl4KHZmZLOoaOxcIInuh0Ia464Y+YJnd7brDzFcfeSJCIuq6Y715v7srqY0BG353JkH58lGCVkVrQqW42uExnRkqVKHrsxh63IPOksGgtrpeiR5PWOJTuHRk80IIe7hKdzqK5TCuwcQlyfc86VaGYe0dVs5togj6QCK6umO9eb+7IS+TrEusufovBZglFibamsxRN9rd7BsQXzIjQui6VC7GErexl7ovfj2jl0NxZG2Dl0eqL9x8mhNW3st+I65YIHIXCDL1r+myvRzDyhK+bOtapgUoGV1YAW1wfBZCXydYh1l6v67IlmlDixVMbGfhu9/gD5lKKj0xtgp9nFSk2tUUwnS5V8/MbCVnYierGUx36nFzrwBBhtLNTriZaiPKwSPcyJ1pSwUil4Ez3RQgg/gk6DiAaA9tgIcWnnUH18hnGN8SY2KXyTCDvXqoKnliu4MGHtaQIrKw+yy82Xuhsaw3zpOtJHTCSY6IJFNKPE2lIJA+EPS5GRd0nZrPt2kFWXRHS5gBevNWLdVlass/BE18r+wJNGpx9q19gPPNHmKtHZ2DkqxckiWlaKVT3R8v6tXh9HcPApCFeimXlFR4NWGtFqEpcFluvoEvlxfq9UxLrLkYosohkl1kamFqYV0Rt7/qAV1dHhOlmqJGgsDCq/tYzsHHLNMBHdaPewUPSQy+mNC5SpG40QT3YzmGSoK+u7nPcmRtzJ76mO/Q6L0WuzJ5qZU3QkMrgmWl0WWIeFqN8rHWI97DFsR9+xiGaU0DFw5eq+76lerTnUWFguJGgs7KGYz2WSK1wbEdFrIbepd3pY0FyFBvxIw6KXQyMkdk4eRHVN+isXPexMuJDR5b2W9x8fYz5sLORKNDNn6LBiuChaXbZNHAZsWXxciL5jEc0oIUd/qzQXykq0U3aOip+CEcfrvdfuYTEDKwdw4Lue1ly43+6jptkPLakUvfBKdKeHSsHTNjCnUsjh8s6kSrRmO0dIJZonFjLzhi4rBotWfZispGZVpbVl8ckq63oafJZglFiplZAjKGVFX933q9hO2TmCuLqoODnAF7RZNBUCQK0Uva/6FKuHKtVi+NjxZrevrakQ8D8inhRx19JUiZbe7fGDsK7HZxjX0JHI4FJGdBpc2r/JuMAso6kXQdkAACAASURBVAhtxfm50OTKIppRwssRji+WlOwcG/tt1Ep5p0TLUsUXq3ESOvZa3Uz80MBB4sa0qYUmRXRlmojuqGc3j1IueBNHnB+IXLXDV6kw2RPNIpqZV2Ts2nLloJE2yf8j1zKix/cWJY5d27/JuMAsowhtxfm5EH3Hdg5GmbWlMi7vKVSi99pOVaEBYCkQxXFGf++3e5kkcwB+fjWAqVML650ejhuyxlRL+aljv1WF7SjlkIi7AzuHqida2jmu90TrjupjGNcYzUbfanRj+0hd+Ph8EnG9sTb2P81SYbKSmnWV1obFx4UmV65EM8qcWCwrV6JdaioERivR0SJ6t9kb2j9MIyve0+0c4fF3qlQKGdo5iiHpHD29jYXtMcuI7qg+hnEJlQqlCx+fTyLuc8p6/1GVb5OVVBeqtKZxYaANi2hGmbWlklpj4X7HqaZC4MATPSkdYpztZgdHF7K5CJB2jmki2mRl3K9Eh+dELxT0rVvOe+j2BXr9sYmCmiLuKmF2jqBKxyKamUdUhKSrwizuc8p6/1Hi3qSX2PWx47o4e986vnbuAXzv/LvwtXMPZF4NZxHNKHNquYJr9c7EqmEc/Eq0WyL6aNUX0VuNGCK60cVyRiPLS3kPRS831RPdMO6Jnrx2o9tHWWslWg5DGbdb6ErnmBxxJyvRuqL6GMYlVISkq8Is7nPKev9R4t5kJdWFKu1hQOlMS0THAPxHALcB+D6Avy+E2Bq7zZ3BbSSvAvC/CyF+n4jeD+CfArga/Oy3hBCfVdkTkz2nlv2s6IvbTbzqeC3RfTu9AbYbXfdEdFBZ3mp0pt6u1e2j3RvgSEYiGvAtHWGe6MFAoN7po2rIz7swxc7R6vRx05K+93GYntHpX1dZ15cTnbvu8SStbh+lfE77sBqGcQEVH6mLGdFA/OeU9f7jRL+Z9BJPe2zbQ0rmBdVy1TkAXxRCnCeic8G/f3P0BkKIZwHcCwBE5AG4AOATIzf5PSHE/6W4D8YiJ4/4B4SL263EIlqO/HatsbBc8FApeNiOENHbQaV6uZKdp7tWyofaOeQgFGMRd9PsHN2+VguE6fSMsImFLc3eboZxCVeFsApJnlOWDXAuNL5NwoUhJfOC6pn2IQBvCr7+CIAvY0xEj/EWAH8rhHhBcV3GIdaDq+qLO8mbMw4GrbjVWAgARxcKuFafbufYbvr7z8rOAfhCNszOISvUNuwczW5fayxcqGdZk50jlyMUvdyNdo5uX9lvzTDziMviy8UBMK5esGSZUjLvFW/VM+2aEOISAAghLhHRiYjb/wKAPxn73q8S0S8DeBTAb4zbQRj3WVsqgyhdh/NGMGhl1bFKNAAsLxQTVKKzE9GLpXA7h6xQG2ssLPrNft3+AIWxSY6686kjh6FoELrlQu4Gkd7sDrgSzcwtKkLY1Yg7l3FR3GeVUqL7ostFQR5ZyiGivySiJyf8eSjJQkRUBPDTAP7TyLf/EMCr4ds9LgH411Pu/z4iepSIHr169WrYzRgLFPM5HK+VUv0HlKkeJxwU0ceqxUhPtBTRWXuiQ+0cbf9gtWBIBFaKvkget3QMBgKNjt5oPSlkxweutHp9FDV5lssFb2LEHQ9aUYeP2W4yjxF3TDKySinROfDFtUE5kkgRLYR4qxDi7gl/PgXgMhGdBIDg7ytTHuqdAL4hhLg88tiXhRB9IcQAwL8F8IYp+/iQEOKMEOLM8ePH4z4/JiNOLVdwaSd5zN2lnRaI/Kxp11heKAxFchg7QztHdnaU6hRPtOlKtBTn45YO6cWulXROLAxJ5+j0UdaUnDFpKmK7p3dozGGFj9luMo8Rd0D8iYWujPy2SVYpJTovurKcwJgE1TPtpwG8F8D54O9PTbntL2LMykFEJ6UdBMDPAHhScT+MJdaXK3j6ld3E97u828JqrYSig3FiRxeKuOagnaNm0RN9IKKvP5iZWLdcmFyJro+ldahQmTAVsdnR2yDJMC4RJzEijFlulHPRz23LnmDKqz3+fJYXChNjYtNcdLn6KYjqmeg8gI8R0T8B8CKAnwMAIjoF4MNCiAeDfy8AeBuAXxm7/78ionsBCPgReeM/Z2aEk0fK+OIzlyGEAFH8j9kv7bRw8oh7VWgAOFotYqfZRX8g4IVYB7abXRQ8MmafmMTilIi7ese0iA7sHO3rhaeJCnhYY2Gj08OCpnUWSjdG9jW7fRzJ8KKIYbJkkhAmAG++K/rTgllulHPNz21b1Ov2ak96PoUcoeARun0xvF3aiy6Viz+TKJ2JhBCb8BM3xr9/EcCDI/9uAFiZcLv3qKzPuMOp5Qpa3QG2Gl0cq8a3Nryy08KtKwsGd5aeowsFCOGP/j4a8py2G10cqRQTXTioUivl0ez20esPkL+hua8/vI0JqiF2jmElumjAE90dr3rry8FeKN5o52hpThlhGJc4e986Hn3hGj769RchpY0A8PHHLuDMrcemCisXG7uAeFVKm5XMSa9bVqI+q/ds0vPpDgSWKwVUS3nl9V39FMTMmZY5dMirwYvbzUQi+tJOEz/2qmOmtqWEHLhyrdEJFdE7zU6m8XbAQZW53u7jyML1Inqv1Q1uY6qxcLKdY9+AnUNWvcer7o1Ob/gzVSqFPK7Vrz+JtroDFtHMXPOlZ65CjH0vSsDZrpxOI06V0lYlM+x1GxecEp2iPsv3LGzfO80uvvnbP6X8+GGfggDA/ecfsXZh554RlZlJZFb0y1vxDwD1dg+7rR5uctjOAWBqzN12o4ujGYvoxUCo7rVv9JrttrrwcmSuEi0F/A2VaP0VcFltHm+irLf72i4SqiUPzbHn0uz2hyPHGWYeSVOVdbWxC4jXKGdrZHnY6+aFfHqpU9Rn+Z5l0XR69r51fO3cA/je+Xfha+ceAADriR18pmC0cMsxKaIbse/zShBv56wnOhDHW1MGrkg7R5Ysln2hutu80Re92+xhqZw3Zi85qIKH2Dk0VsDzXg7lQs5oJXqh6KE+yc7Bw1aYOSaN4HG1sQvwxdXvvvserC9XQPCLOr/77nuuq0jGuY0Jwl6fvhDGRX2W75mNixQXLuzYzsFoYXmhiKVyHi9sJhDRQSTeTUv245EmMWrnCGOn2cXrTi1ltSUAB5nUO83Jleglg01xUsCPp4OYitbzR5zfmM6hyzayUMyjMSLShRBBJZpFNDO/pPGXutrYJYnTKGdj8EnY67Y+4o02ZUXI8j2z0XTqwoUdi2hGG7euVPHCtfgiWuZKO1uJjmXn6GQabwdgmBwxSUTvNLtYKpvbT62YBxGw2wqrROs9pFQnTGdstHtaGwsb3f4wVabR6UMIc+kmDOMCUti8/9NPYTs4jkRlo7va2OU6014306I+bO0333XciI8464sUFy7s+EzBaOP0sQV8+1L8rGg5rdBVT3S16KHg0cScSwDo9Aaod/qZNxbKwS5y0Msou82u0Xi2XI5QK+aHDYySersHIv2TEqvF/HVJIIOBQKPb1xdxV8xDCL+ZsFL0jEcEMoxLtEcGGW01upFNZ6V8bijIji4U8Nt/7wetNxWOEpVEYSNdxGYs4KS133zXcXz8sQtONogmxYULOz5TMNo4vbKAz3/7lam5yqNc2mlieaHgbBICEWF5oRhaiZaV4CMZTisEpleis2jUXCzfOOxlv91Htajfi10bm87Y6gWVYo2VaMD3WVeK3rBBUtfjM4yrJIlYG095APwLT5eISqKwmS5iw0YStvb95x9xKi9bBRdyy1lEM9o4fWwB3b7ApZ0mbj4anf18abuFm5bcrEJLji0Usbk/WURLcZ31YI5q0YOXo4kjyXcN2zkAYLFcwG7zxkq0iVi9asnDxsjrL0Wuvkr0QWTfCsxPfGQYV0jiJ3VtUMkkovY4C88hC1zwEevE5gUKwCKa0citx3zh/OJmI5aIfmmrgdPHqqa3pcTqYhGb9ckiWoq71QS52DogIixXCuGeaMOiflIlerdlRrxXS9c3qx4MddFViQ4mMAYJHXVDDZIM4xpJ/KSzILyi9ujic7BhL8nSR+zqcB6dcMQdo43TweTBF2M0Fw4GAi9sNnCbo9MKJcdrJVzda0/82ca+//3VxVKWWwLgV7+3x0R0q9tHuzcwXhlfLOdvyKjeMeTFHrdzSM+ytoi7oHouH/fg8dnOwcw3D7/9ThTGbHeFHE30k2aRAaxK1B5tPodPPn4B959/BLef+wzuP/8IPvn4haG9JOuM46yi6Gw9v6xhEc1o4+SRCgoexUrouLLXRrs3cHbkt+T4oi+ihRif7zUiomvZi+ilyo2WClkdXiqbraIulguTK9EGRPR4OoesGOuyjiwEJ5PmsBJtdmw6wzjFeAtDSEvDw2+/EwVvTHB7kwW3LaLEoa1hK2Fi8gN/8ZSVjGOTedmjFwu/8bEntD+/SRcjtuEzBaMNL0e4+egCXtisR95W3ub0itt2juOLJTS7fdQ7/RuE1cZ+G16OMo+4A4DlhQKujdlMhh5tw42Ok+wcO80u7jixqH2taimPeqePwUAgl6NhKsiiJuvI+PAY9kQzh4UPfu5ZdPvXFwe6fRHuER6vI9xYV7BKVJOZrSa0MC92FmO/gXBLhe7nPd642Z9QeALSPz9Xx85zJZrRyquPV/G3V+KIaL9a7bydI7BqTLJ0bOx1sFItIhcjiUQ3RxeKN4ho6d1eMezR9ivR3euq83JSom5qQcW5ERw45ZRGXWtVRhoLAQynF1Y12UUYxlWSNhZ2B2OCeyCcGPk9ytn71vHw2+/EqeUKLm438cHPPTusVtry5yYVjTrtJVlaKiZdLEwi7fNzYTrhJFhEM1q5Y20Rz2/so9ufHn/0wrU6vBw55ambxPGanx4yUUTvt61YOQDgWPVGEb0V/PtoBpXobl8MI64GA2HMziErzrICvRv8rWutgwmM/uOaGF/OMC4Sduyd1NvgYlPeJMJE4//2yW9Z8+eGvc7LlYJxe0mWwjPO74LK83P1d5BFNKOVO07U0O2LSEvHC5sNrC9XUPDc/hWcWoneb1tpKgSAlVoRjU5/6OUFRirRNbMiWor07WDYy36nByHMRP2NZ2LvBLF+upJA5OPICYz1dg+lfA55x38vGUaVSY2FgN9cOy4uZ6GxEAgXjX/yVy9Zq2KGebHf/9M/aMybLMlSeIb9LnhEWp5f2OPniKx6pPkzS0YrP7Dm+2K/c3kfr5nikX1hs+F8UyEAnAhE8ivBdMVRru61pz5Hk6xW/X1t1tu4uei/jllVoo9VfeF5rd7BySMV7cJ2FOk3l5nYu60uKgUPxbwekVsueCjlc8MmzXqnx35o5lBw9r51fOAvnrphIuskX/Sb7zqOj379xets0C6O/A4Th7r9uUmI69U2QVicnRSeOm0tYdMDdV0YTHp84OC9teWR5rMFo5VXH6+BCHju8j7eeU/47V7YrOP1t5zKbmMp8Scq5nBp7EDUHwhc3mvjpKWR5ccC3/PmfmeYyb1Z72CxlNcmMMOQIn2rbsZiMcqRhTER3exhqaL3sLVUKQyfQ73dZysHc2iYNLAJuF5cfvLxC/j4YxeuE9AE4Gd/xO6Qi0mEiUaPaKKQzqqSbmsgSJbC03Tj5vjj5ya8pzaG57CIZrRSKXq45egCnruyF3qb7UYHu60ebnV80ArgDzY5daSCizvXH5iv7rXRHwjjI7bDkJaNzfqBzWSr0cExw1YOADgaCPitIA1k2OynWdwCwHIg2GWl2EQe9VI5P3wOe60eNxUyh4Yw0Tn6f2ySRUIA+NIzV01vLzFh1dCf/ZF1fPyxCzd8P8tK+nhj45vvOo4vPXPVaKNj1sLT9MXC6OPffu4zE2+TtUeajX+Mdn5grYbvXt4P/flzwc9ec6KW1ZaUOLlcxsXt6+0cUlSfWrYjomVD4+hI7Gv1jnErBzBSiQ5EtIzWW67oX1uezKX/2sRkxKWR6Y/bjWxeQ4ZxgTi+aFcbuiYhM5BHY0fLhRzO3HrMuP94GpMaHv/911/MpNHx7H3r+Nq5B/C98+/CwKKtRTeu+PRZRDPaiUroePaVXQDAnTfZ8RMn5dSRCi6NVaJf2fFF9U1LdhprZCV6NKFjc79jPN4O8C0uo2tfHU5u1L92teghn6PrPNG6bSNL5QM7x1ajg6PV7HO/GcYGZ+9bR21CXKT0RQMH/9/Hca2pcJR27+Dcs9Xo4uH/9AQ+8BdPWRs/HSf+LYtGx6yFp8nhKLaG54zDn1sy2rnrpkV0+wLfubyP151auuHnz17ew2I5b81PnJSTyxVc2Wuj2x8M00TklbutSvRCMY+Foocruwd2jsu7Ldx7etn42gUvh6VyftjIuLHXRo6Alar+pBIiwvLCwYhzE0NdliqFYZrMdqM7tJAwzGFgmi/6k49fwP7YYCXAvWmFo0wSrN2BGDZQ2mhAi1vpNVURllaSC9tNEGC0QTRsLd2vu63hOeOwiGa080M3+0Luv7+8PVlEv7KHO9cWQZT9kJI03LxcgRD+Ae7WYMLipZ0WyoWckVi3uJw8Uh5WyFvdPjbrHZxcykbUH6sWcS04KV3db+NYtQjP0NCZIyN2i51Gd5jtrO/x89ht9TAYCL8SHVJ5Y5h55Ejl4CJ1/PuThqwA/jAi15oKJXGEaNYNaGHe80m30834pD8BDMXtumbhOWmtUXS87raG5oTBdg5GO7etLGCpnMcTL+/c8LNef4AnL+zi7vUjFnaWjtuP+8L5exsH2dcvbNZx20rV6oXAqeUKLga2kstBBF9WjY5Hq0VsBjaOq3sdo0NnjlQK2Gl00e71sdvq4bjmtZbKBew2u9hr9TAQ5iMCGcYlwg5hROGCdGeC6HaFuEI0Sx/wJOvBOKasCGGNoevLFXzt3ANaBWgc24rK657lBMa4sIhmtENEeP0ty3j8xa0bfvbc5X00u33ce4t524Eubl+9UUQ/v1Efft8Wp45UhgekS4GYzsqnePJIeegLv7rfHg6lMcGxagkb++2hdWVNc7V9qVJAbyDw0pY/ip5FNHOYCLNzbDW6oX7osO+7QFiz5DhZeronNTyOcnShYKzRMUy0XthuavcpxxHIKq+7i6O/WUQzRvix24/h2ct7w+QGyRMvbwMAXj9DInqlWsRiOT8U0b3+AC9uNuyL6OUKru610e71h7aOrCrR68HHk0IIbOy1tVeHRzm1XMbF7eaw2n5iSe9aa8HjPfuKH8vIjYXMYSJM1BCAdkhVMSTkwR1ifED45ruOm9/HGKMNj6O0upO/r4NpolV3JTdKIKtW26ddENiqRrOIZozwxletQAjg689fu+77X39+E6u1Im6bgWmFEiLCq1areP6qL6Jf3mqiNxAOiGhfML+y0xpG8GXVrHlquYJ2b4CN/Q6uGh5/fmq5gt1Wb/j6675QOHnEP/B/+5KfGsONhcxh4uG33zlRcwoAjRBx57Kd44OfexbdfrTKzzrneprVwWQ1NcpKonPtSWvJ3y0dsYLTRLotWweLaMYIP3TzMmqlPP7rc1eG3xsMBL76nQ3c/5rVmWkqlNx10xKeurgDIQSeCSqWr7acc33LMf9C5HsbdfztlX2sLZWwkNGgkPXgYPbYC9fQ6Q1w+pi5iyJ5YfD4S749aG1Rr4g+FYjob13wPfzHWEQzh4iz963f0AAWhcvxdraTMNKuZ2o/Z+9bx8/+yPrU4ryutSfZVgR8u4qOBsBpFwS2bB0sohkjFPM5vOnO4/j8U5fRD7q7v3VhB5v1Dv7OHdl/jKbKvaeXsdXo4oXNBh5/cQtFL4cfnJA8kiWvPemv/9TFXTz9yh7uuim7/awf9U+i//U5v5pjcnCOFOyPv7iNYj6n3Y+5dsSvov/1964hn6Phc2OYw8J6AlFMgLPxdkB8gZ/1hUDUeib386Vnrk69UNK9dr19fSziVqOLh//sCeVKsRTpYdgYGqMkoono54joKSIaENGZKbd7BxE9S0TfJaJzI98/RkRfIKLvBH8fVdkP4xYP3nMSm/UOvvSMX43+82+8jFI+h7e9bs3yzpIjGyEff2kLj72whbvXl1DKT++2Ns2RSgG3HKvgiZe28d0re0NRnQWyCv7/PfkKAOAOgyL6ZHCAf+aVPZw8Utb+KUYp7w3TRW5frQ6zwBnmsJBEFAtkl6+chjB7yig2LgSiPNgmPdrTxKXuzO+wWMTRAT6qhL2/Nj4hUT1bPAng3QC+EnYDIvIA/AGAdwJ4HYBfJKLXBT8+B+CLQog7AHwx+DczJ7ztdWs4eaSMP/jyd3Fxu4mPf+MC3nH3TVazldPyA2uLWK2V8Mdf/T6eeHkbP3r7MdtbAgDcfeoIPv/ty+j2BV57MrsJkEvlAu5eX8J2o4tj1SJWDDYWri2WUC36Fyw/epuZ13098JffsTYbo+gZRidn71tH3Jj3JFVrG8Sxp9i4EIjyYJv0aE875+rO/J6Wh62jUvzBzz0b+v7aaBZVEtFCiKeFEFGXFm8A8F0hxPNCiA6APwXwUPCzhwB8JPj6IwDOquyHcYuCl8P/+lN34vEXt/ET5x9Bpz/A//zWH7C9rVR4OcIv/Ogt+NaFHXT7Av/wDbfa3hIA4O+9/tTw6zffdSLTtaWg/Tt3rBpdJ+/lcM/Nfq74/a9ZMbLGzwQnEZN51wzjMhOKhxNx2cohiRL6Ni4EbHmigfAscEB/k6g3ZTEdleJpr1PWzaJANhML1wG8NPLvlwH8WPD1mhDiEgAIIS4RUagKIKL3AXgfAJw+fdrQVhnd/OyP3Ix6p4evPLeBf3z/bbjNcqKFCv/jm16NgRA4tVzBaUfSRd559034lZ98FV5/yzKWytlW+P/RT9yOwUDg4XfcZXyt8+/+IXzw88/iba+7ycjj//KP3wbPy+Ftr509q5Gr8DF7tpCxlVG4bOWQPPz2O/Hr//GbU3+eNVFTC01aEcKywE2s25+Sf6jjdZ/2OjrpiSaivySiJyf8eSjqvvIhJnwvccqkEOJDQogzQogzx4/PXmPaYeaXf/w2fPi9Z/ATrzFbsTRNrZTHP3/HXfilN7pRhQb8+L1/8eBr8eA9JzNf+/TKAj7w0N2olcxfi9+2WsUf/IMfNrZWLkd4zxtvzSxn+zDAx+zZIo6X2HUrh2SaPYVg50Jg2utr2qM9LQtc97phvyPLlYKW133a6+ikJ1oI8VYhxN0T/nwq5hovA7hl5N83A7gYfH2ZiE4CQPD3FTAMwzAMkyln71vHP3xj+CcGuhvQTPMPfmzyc5n2HE0iX99xAUjw92RS2IflN5tYd9JalYKH9//0D2p5/LDX0dTY9CiyaEP/GwB3ENHtRFQE8AsAPh387NMA3ht8/V4AcYU5wzAMwzAa+Z2z9+D3f/7eG8ZTH10o4IP/w+tnwsoh+Z2z9+CX3nh66NH1iPBLbzyN3zkbHpGWxZ5+7+fvxfpyBQS/avt7P3+v8T3JaLgs1p20lu6R5pNeR1Nj06MgoTC/k4h+BsD/DeA4gG0A3xRCvJ2ITgH4sBDiweB2DwL4fQAegD8WQvyfwfdXAHwMwGkALwL4OSHEtRtXup4zZ86IRx99NPW+GYZhbEFEjwkhQiNB5xE+ZjMMM8uEHbeVDIZCiE8A+MSE718E8ODIvz8L4LMTbrcJ4C0qe2AYhmEYhmGYrOGpAgzDMAzDMAyTEBbRDMMwDMMwDJMQFtEMwzAMwzAMkxAW0QzDMAzDMAyTEBbRDMMwDMMwDJMQFtEMwzAMwzAMkxAW0QzDMAzDMAyTEBbRDMMwDMMwDJMQFtEMwzAMwzAMkxAW0QzDMAzDMAyTEBbRDMMwDMMwDJMQFtEMwzAMwzAMkxASQtjeQ2KI6CqAF1LcdRXAhubtmIT3axber1l4v5O5VQhxPIN1nIGP2c7C+zUL79csWe534nF7JkV0WojoUSHEGdv7iAvv1yy8X7PwfhlVZu094f2ahfdrFt5vctjOwTAMwzAMwzAJYRHNMAzDMAzDMAk5bCL6Q7Y3kBDer1l4v2bh/TKqzNp7wvs1C+/XLLzfhBwqTzTDMAzDMAzD6OCwVaIZhmEYhmEYRplDIaKJ6B1E9CwRfZeIztneTxRE9MdEdIWInrS9lyiI6BYi+hIRPU1ETxHRr9ne0zSIqExEf01ETwT7/YDtPcWBiDwiepyI/rPtvcSBiL5PRN8iom8S0aO29xMFES0T0Z8R0TPB7/KP297TYWeWjtuzdMwG+LidBXzMNodLx+u5t3MQkQfgOQBvA/AygL8B8ItCiG9b3dgUiOgnAewD+HdCiLtt72caRHQSwEkhxDeIaBHAYwDOuvr6EhEBqAoh9omoAOCrAH5NCPF1y1ubChH9LwDOAFgSQvxd2/uJgoi+D+CMEGImMkeJ6CMA/psQ4sNEVASwIITYtr2vw8qsHbdn6ZgN8HE7C/iYbQ6XjteHoRL9BgDfFUI8L4ToAPhTAA9Z3tNUhBBfAXDN9j7iIIS4JIT4RvD1HoCnAazb3VU4wmc/+Gch+OP0lSQR3QzgXQA+bHsv8wgRLQH4SQB/BABCiA4LaOvM1HF7lo7ZAB+3TcPHbHO4drw+DCJ6HcBLI/9+GQ4fLGYZIroNwH0A/sruTqYTfMz2TQBXAHxBCOH0fgH8PoB/DmBgeyMJEAA+T0SPEdH7bG8mglcBuArg/w0+fv0wEVVtb+qQw8ftjODjthH4mG0Op47Xh0FE04TvOXsFO6sQUQ3AxwH8uhBi1/Z+piGE6Ash7gVwM4A3EJGzH78S0d8FcEUI8ZjtvSTkfiHEDwN4J4B/Fnzc7Sp5AD8M4A+FEPcBqANw2oN7CODjdgbwcVs/fMw2jlPH68Mgol8GcMvIv28GcNHSXuaSwKP2cQAfFUL8ue39xCX4COjLAN5heSvTuB/ATwd+tT8F8AAR/Xu7W4pGCHEx+PsKgE/A/3jeVV4G8PJIZevP4B+kGXvwcdswfNw2Bh+zzeLU8fowiOi/AXAHEd0eGNB/AcCnLe9pbggaPv4IwNNCiH9jez9RENFxIloOVMJOwAAAAT5JREFUvq4AeCuAZ+zuKhwhxL8QQtwshLgN/u/uI0KIX7K8rakQUTVoVkLwMdtPAXA2tUAI8QqAl4jozuBbbwHgZIPVIYKP2wbh47Y5+JhtFteO13lbC2eFEKJHRL8K4HMAPAB/LIR4yvK2pkJEfwLgTQBWiehlAL8thPgju7sK5X4A7wHwrcCvBgC/JYT4rMU9TeMkgI8E3f85AB8TQsxEBNEMsQbgE/55GnkA/0EI8V/sbimS/wnARwPB9jyAf2R5P4eaWTtuz9gxG+DjNnM9s3bMduZ4PfcRdwzDMAzDMAyjm8Ng52AYhmEYhmEYrbCIZhiGYRiGYZiEsIhmGIZhGIZhmISwiGYYhmEYhmGYhLCIZhiGYRiGYZiEsIhmGIZhGIZhmISwiGYYhmEYhmGYhLCIZhiGYRiGYZiE/P9DU2Njcvkd9wAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "f, ax = plt.subplots(1, 2, figsize=(12,6), sharey=True)\n", "\n", "ax[0].plot(x, y)\n", "ax[0].set_title('Sharing Y axis')\n", "\n", "ax[1].scatter(x, y)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Three subplots sharing both x/y axes" ] }, { "cell_type": "code", "execution_count": 61, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "f, ax = plt.subplots(3, figsize=(12,6), sharex=True, sharey=True)\n", "\n", "ax[0].plot(x, y)\n", "ax[0].set_title('Sharing both axes')\n", "\n", "ax[1].scatter(x, y)\n", "\n", "ax[2].scatter(x, 2 * y ** 2 - 1, color='r')\n", "\n", "#Fine-tune figure; make subplots close to each other and hide x ticks for all but bottom plot.\n", "f.subplots_adjust(hspace=0.01)\n", "\n", "plt.setp([a.get_xticklabels() for a in f.axes[0:-1]], visible=False)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "row and column sharing" ] }, { "cell_type": "code", "execution_count": 63, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "f, ax = plt.subplots(2, 2, figsize=(8,8), sharex='col', sharey='row')\n", "\n", "ax[0,0].plot(x, y)\n", "\n", "ax[0,1].set_title('Sharing x per column, y per row')\n", "ax[0,1].scatter(x, y)\n", "\n", "ax[1,0].scatter(x, 2 * y ** 2 - 1, color='r')\n", "\n", "ax[1,1].plot(x, 2 * y ** 2 - 1, color='r')\n", "\n", "f.subplots_adjust(hspace=0.1)\n", "f.subplots_adjust(wspace=0.2)\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Four axes, returned as a 2-d array" ] }, { "cell_type": "code", "execution_count": 68, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "f, ax = plt.subplots(2, 2, figsize=(8,8))\n", "\n", "ax[0,0].plot(x, y)\n", "ax[0,0].set_title('Axis [0,0]')\n", "ax[0,1].scatter(x, y)\n", "ax[0,1].set_title('Axis [0,1]')\n", "ax[1,0].plot(x, y ** 2)\n", "ax[1,0].set_title('Axis [1,0]')\n", "ax[1,1].scatter(x, y ** 2)\n", "ax[1,1].set_title('Axis [1,1]')\n", "\n", "#Fine-tune figure; hide x ticks fort op plots and y ticks for right plots\n", "\n", "f.subplots_adjust(hspace=0.1)\n", "f.subplots_adjust(wspace=0.1)\n", "\n", "plt.setp([a.get_xticklabels() for a in ax[0, :]], visible=False)\n", "plt.setp([a.get_yticklabels() for a in ax[:, 1]], visible=False)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Four polar axes" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.subplots(2, 2, subplot_kw=dict(polar=True))\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Matplotlib [Animation](https://towardsdatascience.com/animations-with-matplotlib-d96375c5442c)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "+ create a figure window with a single axis in the figure. \n", "+ create our empty line object which is essentially the one to be modified in the animation. The line object will be populated with data later.\n", "+ create the init function that will make the animation happen. The init function initializes the data and also sets the axis limits.\n", "+ define the animation function which takes in the frame number(i) as the parameter and creates a sine wave(or any other animation) which a shift depending upon the value of i. This function here returns a tuple of the plot objects which have been modified which tells the animation framework what parts of the plot should be animated.\n", "+ create the actual animation object. The blit parameter ensures that only those pieces of the plot are re-drawn which have been changed." ] }, { "cell_type": "code", "execution_count": 69, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from matplotlib.animation import FuncAnimation\n", "plt.style.use('seaborn-pastel')\n", "\n", "\n", "fig = plt.figure()\n", "ax = plt.axes(xlim=(0, 4), ylim=(-2, 2))\n", "line, = ax.plot([], [], lw=3)\n", "\n", "def init():\n", " line.set_data([], [])\n", " return line,\n", "\n", "def animate(i):\n", " x = np.linspace(0, 4, 1000)\n", " y = np.sin(2 * np.pi * (x - 0.01 * i))\n", " line.set_data(x, y)\n", " return line,\n", "\n", "animation = FuncAnimation(fig, animate, init_func=init, frames=200, interval=20, blit=True)\n", "animation.save('../Data/sine_wave.gif', writer='imagemagick')" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "MovieWriter imagemagick unavailable; trying to use instead.\n" ] }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.style.use('dark_background')\n", "\n", "fig = plt.figure() \n", "ax = plt.axes(xlim=(-50, 50), ylim=(-50, 50)) \n", "line, = ax.plot([], [], lw=2) \n", "\n", "# initialization function \n", "def init(): \n", " # creating an empty plot/frame \n", " line.set_data([], []) \n", " return line, \n", "\n", "# lists to store x and y axis points \n", "xdata, ydata = [], [] \n", "\n", "# animation function \n", "def animate(i): \n", " # t is a parameter \n", " t = 0.1*i \n", "\n", " # x, y values to be plotted \n", " x = t*np.sin(t) \n", " y = t*np.cos(t) \n", " \n", " # appending new points to x, y axes points list \n", " xdata.append(x) \n", " ydata.append(y) \n", " line.set_data(xdata, ydata) \n", " return line, \n", " \n", "# setting a title for the plot \n", "plt.title('Creating a growing coil with matplotlib!') \n", "# hiding the axis details \n", "plt.axis('off') \n", "\n", "# call the animator\t \n", "animation = FuncAnimation(fig, animate, init_func=init, frames=500, interval=20, blit=True) \n", "\n", "# save the animation as mp4 video file \n", "animation.save('../Data/coil.gif', writer='imagemagick') " ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.8.5" } }, "nbformat": 4, "nbformat_minor": 4 }