--- a +++ b/1. Applying AI to 2D Medical Imaging Data/1. Clinical Applications Exercise/solution.ipynb @@ -0,0 +1,397 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "%matplotlib inline\n", + "import matplotlib.pyplot as plt\n", + "from skimage.io import imread, imshow\n", + "import numpy as np\n", + "import pandas as pd" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Read in your first x-ray image and display it using imshow()" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "<matplotlib.image.AxesImage at 0x7f5072e50250>" + ] + }, + "execution_count": 2, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "chest_xray_1 = imread('chest_xray_1.png')\n", + "imshow(chest_xray_1)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Fill in some coordinates for sections of the image that contain lung, heart, and bone:" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "# Hovering your cursor over the image above will display your coordinates within the image at the bottom\n", + "# right corner of the figure. Use this to fill in starting and ending x & y values for lungs, heart, and bone\n", + "# in the chest x-ray image above\n", + "\n", + "lung_x = [210,265]\n", + "lung_y = [380,430]\n", + "\n", + "heart_x = [515,600]\n", + "heart_y = [600,650]\n", + "\n", + "bone_x = [420,480]\n", + "bone_y = [720,755]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Now, plot the image intensities for the subsections that you chose using different coordinates for different structures:" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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\n", + "text/plain": [ + "<Figure size 360x360 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(5,5))\n", + "plt.hist(chest_xray_1[bone_y[0]:bone_y[1],bone_x[0]:bone_x[1]].ravel(), bins = 256,color='green')\n", + "plt.hist(chest_xray_1[lung_y[0]:lung_y[1],lung_x[0]:lung_x[1]].ravel(),bins =256,color='blue')\n", + "plt.hist(chest_xray_1[heart_y[0]:heart_y[1],heart_x[0]:heart_x[1]].ravel(),bins=256,color='red')\n", + "plt.legend(['Bone','Lungs','Heart'])\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Now let's try with a less healthy looking chest x-ray:" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "<matplotlib.image.AxesImage at 0x7f506d6723d0>" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "## Note that if you do *not* turn off the 'interactive' visualization by clicking the 'power' button\n", + "# in the xray imagee above, the new chest x-ray will replace the previous rather than being shown in a separate image\n", + "# below. \n", + "chest_xray_3 = imread('chest_xray_3.png')\n", + "imshow(chest_xray_3)" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "# Try the same exercise as above, selecting coordinates for lung, heart, and bone\n", + "\n", + "## Fill in your own values here:\n", + "lung_x = [690,760]\n", + "lung_y = [500,560]\n", + "\n", + "heart_x = [550,615]\n", + "heart_y = [750,800]\n", + "\n", + "bone_x = [430,480]\n", + "bone_y = [770,810]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Notice how the intensity values are different for the three structures compared to those in the first image:" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 360x360 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(5,5))\n", + "plt.hist(chest_xray_3[bone_y[0]:bone_y[1],bone_x[0]:bone_x[1]].ravel(), bins = 256,color='green')\n", + "plt.hist(chest_xray_3[lung_y[0]:lung_y[1],lung_x[0]:lung_x[1]].ravel(),bins =256,color='blue')\n", + "plt.hist(chest_xray_3[heart_y[0]:heart_y[1],heart_x[0]:heart_x[1]].ravel(),bins=256,color='red')\n", + "plt.legend(['Bone','Lungs','Heart'])\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Finally, let's look at another type of image: mammography:" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [], + "source": [ + "mammo_left = imread('mammo_left.pgm')\n", + "mammo_right = imread('mammo_right.pgm') " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### First visualize the left breast:" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "<matplotlib.image.AxesImage at 0x7f506d795310>" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "## Note that if you do *not* turn off the 'interactive' visualization by clicking the 'power' button\n", + "# in the xray imagee above, the new chest x-ray will replace the previous rather than being shown in a separate image\n", + "# below. \n", + "imshow(mammo_left)" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [], + "source": [ + "## The left breast has tumor in it, it's center is around [530,340]\n", + "## Choose coordinates that draw a box around it:\n", + "\n", + "tumor_x = [480,580]\n", + "tumor_y = [310,380]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Now visualize the right breast:" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "<matplotlib.image.AxesImage at 0x7f506efe6490>" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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tltr6+7//e33/+9/Xpz71Kf3Jn/yJXnnlFe3t7V0C2w9/+MPqdrv69re/rZQugi4AV7TIpJqez3W3LVityRiMuH4+B282m+WCedLlygqxdpRUZhCwL9qA3QAw9AMhvdPpZPfQI1cMfk9KRYQfj8e5PWdbnvW+WCyykO/X91QI9CrSNbg3B12MZ+AM7IknntB3v/vdvL80hSeK6L695DrFQb+K7ZU0L9/GdX7yJ38y11f/6Ec/Wstv4/h2u639/X395V/+ZQ5OPP744+p2u7p161bx++TXKN3DJtgWrNZgTdnn7p65a8egLg0WH+hoVp4zRTQwCrreBvP7cPf6/X7N/SBSt7+/r+Pj4ww2Z2dn6vf7uY4W14GhwWxgkg5oUr0csl+LPrrwz/GI8VFUfuGFF2rAFhMz3RwY4uCOx/mx3mZso4nd+PEw1fl8ruPjY929e1dVVeXSOvTh0Ucf1bPPPltL3n3hhRf04Q9/WK+++mp+FiX37371u+toW7Bagzk4YR5ZA3x8cMCEpCVIMZhhUFHHgTXt7u5m3QgA8+k0gKMX3cMcCKuqyhVDYWOUhun1ejlCyKBBj8LtJFoIY6QaqTMnBjX9IgnWgZb7L7G+aCVQaWJBJcCK4NqkAzmTKbEv2ODTTz99CSDj8d1uVx/4wAf0nve8J99bp9PRrVu3LoF0BMUIWptkW7Bag3laAlE6n7oiqTZIcZlgKTASSVlDcjcHMGLRBvZ5FQcMtuMlZHZ2drS/v5/dQa7tWfMEAfg8Go0yA0RXQ4MDFEhA5ZhOp5Ovi6FzSboEfK7jeX0unml09ZrEcdf44v7oTnkfmtjtqoCAt1dVlZ566int7+/r61//uiTpiSee0CuvvJJLwaSU8uo1o9EoT2NCByxpdH6fvj/e53W3LVitwZw9MIjRobyiprTUVDxVgTak5eKXAABf3uhyuS5CcT8fYN1uNyd6LhYL9Xq9GmBRS8sjk4jh9AeQwh0kaOATlwFWz3Antyyu4sP9x7l/kR35M3FgK7GlkvYU2VNJ9ymxoJKm1ZRewOsjjzyiv/qrv8r3d+vWLX3sYx/TH/7hH+Z2JpOJnn32WUmrK36WNLjYn02yzYHlB2gAE66OL6nli0Pw5ecY3CLyj6SLSa/uEhGVc60oZsr7NBw+485hLOoAMwMAXT9qtS5K8jJ9xvUiAFFaTpT28ymzzIDC/QTwnD3GvDRnOlJzdreDV5N2hUV24oDI/vjHsU3t+HWqqtJgMMgBDH/O3lZKSU899ZQef/zxSyzvQx/6UK1NT4+I/Sr147rbFqzWaL7og7tzLiz7LyfHkYWOqyddjpBhgKKDDV9ogIHPgKakvDDE6elpTjDFBU0p5cRGAJdIIuwIoJPq9bfiXEH67syE5yBdXkyiCUB4RoCTtxsBpUlM53WVNuXt8p7z4j3Fvo7HY7VaLb33ve9Vr9fT+9//fv2Tf/JP9PLLL9fa9SXN3v3ud+fo4YsvvljrB6B9VRBhU2wLVmsyXwpdupz1XBoEsA8fgLA0NKleryepXnGU9tnGHwDmLIdruNB+dnaW2RPtkWKA2+caGW6fa2ncF2I7rInrkBkPQ4tgEO8FUCqxID/PQWgVyEStp3Qsx8c0itL1ohDOeay2/J73vEc7Ozv6m7/5Gz39dH1pzMVioUceeUSS9JGPfETdbleScqmYeKy/lvS3TbGtZrUGgwExo54vtYfwPVIY3R6prhHBBLzuFEmd0Q2UllEtT8qUltN7XCfx9QH39vayEMy10csYSCxsip4VV7lBoyKlwl1icrOkZQSUwRdFbp4BFgXwkiDugBWZRwmYSq4h20tMqgQYsa2Tk5Ps+nFfsQ/T6VQ//dM/rQ9+8IM5afQTn/iEnnnmmeL3ye+L/yf92aQs9vRW93lTSm/tDhbsT//0T7MGNZ1Oa+K3r8MnLX+RyWvyuXLuLpZ+/flV9ZroEYy8QqkzNNzBKPYDhGhaXvGSaCMVQyXlVZu5FloWzOz09DS7nwjy6HbU8PIUBZ87Sd98v+9zwJeuzo+KVhLjXUeK2lVT+02g2MT2dnd39fDDD+fnRV0rNEZvL4KRgzRt++Txt4tVVfW6fdgts1qTAUxkmkt1DQJW5OVZOI+B6OxJUg3wnKn5YHD3ydMCpGVOlRffc4aDOzibzTIL6vV6tf5LquVV4RpKqi0V7yVhnGV6pQhnja5nca/+LCMweNAhWpPrGMErAlXp+NKxVwncsd3Y3nw+17vf/W61Wi3t7+9rNBrpW9/6lt7xjnfomWeeabzu6wXj62ab4/A+QGN1Y59IXBKAfbKyJ3H6lBQACT0JV4uJx5Jy8TyAgf1eYRTwigI87z2aSK0q17x8BR2YEXPeOp1OTc/ilYFE5jyals+V8yhhTIx1gT2ynSi+R0BzYCkJ8BHgSwDjbbhFbW3V8aX3PNfDw0Odnp6q0+loMBjone98Z85V47hSVn3pmptgW7Bag7nbw+D2KTXOtvjsmdtU6HRhnGgiX1Ta5AuNngWgxWqlDHY0JV9o1aN4gCXRQJ/o7OkKLpyTToEbi0vr1U1pn/M8Igh4eXJqKamzJHI3vV4FKCWBvElEj8AYwc/vMV7Hzc//6le/qi996Uvq9/t68cUX9eSTT+prX/tazvr3PsV+elubZFs3cA2G2Az7IIvbwcPFb3f5UrqYgY/7Raa4tIwAcmzMTgegqJjANff29mra2Gw2U7fbvVRLiX7AulgAgms70wKYJOXrIbrDtgBiX3cQcd6Xo+f6Pvm6yUog4WBcOkaqT3Qu6UixLW+niVmxz9Mw4r6S7gWw/+zP/qwODw81mUz053/+57UVt0tgFBlj071eV9syqzUYS1N5xU+fTuK/0jAVMtjJ9PapJ2haRNkY9NPpVJPJJAOMTxL216pazlNEMPeKDRwjLZmI51IBUHt7e5lx0SfukevRT0+R8JI17gL3+/2sd2G4vACxMzDX32J6Rux/HPBNLIpz4qB3fTHuLwHmKtcsghbH/vVf/7WOj4/10Y9+VJ/85Cc1GAwu9TcyvsjqNolhbcFqDeZRPK+0UFXLEil8cR2APA8JsJAur20Xa5j7r7WL6VEfciaHe+rHu9tJn9HFABbOQZDnHO7PI3gOnnGun9eN96z9mLcVWUlkRqVcrNej7ZTYFv0saV3+vGMbfn9NbbD9He94hx555BG98MIL+s53vqPJZKKf+qmf0tHRUT4u5lDFe9okoJK2buBajPA7X2p3FdBmPIETdoGr5WsAolWhZTCwKEciLXOyMNiZT4om6ogQz/U9tQFGRT8l5cghwOIA4otOoKtJyxVuJGUXFp0MAEMLYzvXLLEfB9AoOscBG90tzD87IPo5sNsmod0/l9hW7Nuqft24cUOt1sWSaa+++qq+//3va2dnRycnJ5faihpa6R42wbZgtQbzEinutvlcOJgTSZXu4vicvXa7nVME0KH8XNIFcIck1YAMcGTA47J5sqgPBk9pODs7U6/XqzE/XL/IMjyaRx8JFiD+c66nLsQ8Igcvz7Gin1F7ahLPeY3gF1lQvA8HyRKT87b8Wm70KyaxVlWlfr+v8Xis73znO0VQjUmxpT6sAsXrbFuwWpMBVLhGkmqCuc8ThCm5TsVARTz34z0ZVFLN3XL3ElcuRuHQeBDEu91uzl73tIlOp5MZEKI5Nau4DqzLI3+Ypz14oij9cGbnuV7S5Xl/PAOvoBqTI91K20paFWDeBFDuZkZzUInAGwGW4z0BNPariSmtuvYm2VazWoMxiHZ3d7W/v5+3M8A8B4ntUl1A5YuLsC0t596x2oynOHiWNyACaLmGRkY57I4SNGSlkye1WCxyRE9SXjaK9QjRmHwpMPqbUsqLpKKlAYSUlPFJ1p61788DYI2A5M8uRuCwkv7Edtf/VrGk+L8oaVglt5Xoq//P4w9X6bwmTarpXuK+625bZrUGc1Ci1rr/esdfYC8P419YX3TBxXA/tt1uZzfMI2W+7iAMChDzyc4Y2pMXxkMv6/V6NdaDBgYgurYGyFVVvaa7C+tkyPMsvHQNbThT8fclVy66cJEJNYnf/r/wdkvgtYr1RBDzlJDSeSV2VxLi4zX83E0CKWwLVmuwxWKRZ9KTSBkrDfCl87rqXvLY85YYvIjk/ouPjgTw+ECBucQl5efzeQYXmBT9ov+e/S4prw4tLSN5tIFrSvY7YjxZ/PQlrrqTUqotaw/z8CqqcWC7a8Y598tIsAh2vt3bvB/wKIHI/QDb/bCjEjDH62+SbcFqDQZAxF/o6Kqhw0TthJQB/0L6tB1YD9fxazCQYVDudnrKAu0z3UOq10z3FAXa4546nY56vZ663W4W0BeLi8oM0+k0i/67u7sZtH1BizhXMT4T3+faTmRDTfMDHcBK7lZsb9XnkrDdBKIRNP28Ejj5eaWE0tI9bSJIYVvNag2G4FyqCuBZ5pEdoXV4qoBX24QVnZ+fq9frXarQACPiS+3TaXxQw3A4nukyDmr0UVJmhl4Dy0GWVZoBIRJGuYZvc53Lc7N4Pq4nxQRaPyayDhf9sVUDu0mncmty4UrXuQpo/DW2wb2WWFdTf7YC++uwlNITKaUvpZS+mVJ6OqX0z+9tv5lS+mJK6dv3Xh+yc34zpfRsSumZlNInfxg38FY0d8tifXEvEczqx4CGz9Pj1aNlHEuUMCaNLhaLHL3zuYQeqXPwgkUBIi56c21fubnVauWqlkx6rqqLUssI8AAXy9XHbHQv2eyfmYLj53i0z5+pa20OZhEwSgM6AkFMnWgCGt43gUkEJO/DBz7wAb3zne+s9efo6Egf+chHdPPmzUs6m99TSZ/ze98kezNu4FzS/1hV1X9IKR1I+lpK6YuS/ltJf1RV1W+llH5D0m9I+p9TSh+U9BlJH5L0mKQ/TCn9x1VVNU8Ee5ua6zKenuCuHy4VrpfrQc6QiKZ5EqlUr0OFjuMD20V1j0Q5I/Ffd3QzaelKch46FG6jJ7J6mWTSIOjDjRs3tFgs9PLLL2fmJy3rsFMLq0ljQruKuVUxF4njHeCaAMXPi4O95N75a0wyjS5iCaiqqtJrr72mxx9/XD/2Yz+Wi/NRr/2hhx7SwcGBvve97xX769enD01u53W3N8ysqqp6saqq/3Dv/Ymkb0p6l6RPSfr8vcM+L+nT995/StJvV1U1q6rqO5KelfQzb/T6b2VjSovXT2cAS8svYWQ8DEoP7TvjiefHtgAtZ1i0Kym7ebh4zsgAJl+hxpeF53xeYxQNcEETk5alYbiWp2zwOU4poU2OAYB8nwNFSWcqsRw3P8+BMJ5TSpqNrMfbLN2LJL3yyiv6m7/5Gz377LPa3d3VZDLRrVu39PTTT+ull166xBS9jyW2eNX9XVf7oQjsKaUnJX1E0p9LerSqqhelC0BLKf3IvcPeJenP7LTn7m0rtfdZSZ/9YfTtH8sY8K7BoEXx3ssBS3WRHNDxSbqUIPbqmjAKn2LjehQDEWbmU2M8qsYqOt1ut1Z/PfZhMBhkncsjekQ1cQ/n87mGw2Fetv7mzZuaTqc6OTmpZboDWlLdlXKBPbKWmN7g2lgc3FHUv0pf8u1NxzUxN/4ncSoMPyQvvfSSXnnlFR0dHeWKqaPRSO9973vv67p+/5sGVNIPAaxSSvuSflfS/1BV1fEKWlraUXziVVV9TtLn7rX/tvuvMIDIJ4JVxWkVe3t7tbIq0nKAefKkpJxiQCSPVAbyqBDuYUmu+7grxSD3PCdEb9p0cJKUAYkAAIBL8igsjooOgK1PxgbM+v1+DYCc0QHaXsMd4KIf9Nn7FgGiBF4ldy26fM5cIoNxNlcCxtJ5bs6An3jiCR0fH+v4+FgpJd24caM2zYj2vM2m5NdNsjcFVimlti6A6t9VVfV/3dv8UkrpnfdY1TslvXxv+3OSnrDTH5f0wpu5/lvVXKfyfKH4RQZInPn49A7PUaqqZVImIMFioyRyOoD4F93rUjH4iVYCVv1+vxZ9xAX1xSFcnwIU2Ue2OyBNv/0YRHgWVx2NRrV5jr7AhrTMxeL+vZ4XABWZl2/jft2uYky8wlQjsDkglUCPz36dD33oQ+r1ehnw+bH54Ac/qIcffjgvyxXbifobzze6p5tibxis0sWT/beSvllV1b+0Xb8v6edNA7IAACAASURBVFcl/da919+z7f9nSulf6kJgf0rSX7zR67+VjcHHYPNER76ofNlhIJJq22BDJFpyjmenw7I8J4r0Bi+IR58kZYADjHxis6TcrqdReNTR9RWmAk0mk8zUGHSnp6fa39/XcDjMAOQVREl1IKMdlhgXTHV25izKc9bcAKv4A1HSfmjTjfa8isUqNhbbpE9+XSoqODPkx+K5556rVVWNFtli0/U3wd4Ms/qYpP9G0jdSSn91b9v/oguQ+kJK6dck/YOkX5GkqqqeTil9QdLf6iKS+OvVNYwESsspJXxhYTZka8NMfBIzAMLgJEsc16zT6dTcNde7ACapPkEYZuc5S7hqsZAfrt5sNquJ+57g6QmoXBMAJqpJe/1+X71eL4NQjF7ibnLvLuz75GkHTNf2XK9yd811whIrwqLLVhKz/dz7sRLrkqThcHjpGGn1vMarrtvkbl5n2y7FtQb7nd/5nZpGASg0RbcYoNIyc5svq+sYnU6n5oLRJiDnFUYdDKuqXl4Z5gQwecIofeTaAFWr1crTZ6KuhjuH2M/72WyWXRzpYtkuliabzWa1Cguj0UjD4TDvI6qIJuYZ/B5goD88a+7P78mfddSumkAhgkHUxUruo1tkbzHxNaZfrNK84v5oPsXq7WLVG1iKa5vBvgaLC3l61QQfRJ5mALPxulAuZnuiJ8cAVK574Qqiubj2xBce1ubbPb3BByaJqwAVbIjUBgccZ34EA+iLu5ZUbmDQnp6e1labllQra0P6gw9yBi335wPZdT+3q36YAeGSexkZ3FVteR/dJZXqWlQEPXcXfXvpPjbNDdyC1RrM3SeAxdMInFmxDREa/cKnvDBQ/csOCMJ8YBy4WO4qAQiuiUVtheJ6bEM0XywWGo/Htbrqzq4AWS8RA5ChSQGE1F33YyRl5tTtdnVwcKDBYHBpgjbgRu5WfB7sl5aDvkk8jywmuoxNIBDbKzGgeFypjVUg46sSrWJ9V13nOtoWrNZkJEB6fo8PQNwVaSl6c1yT1oLrJS2rOfiUGBfJYTQuGHt/pCUAsJIOruTu7m4uC0OUjukwgAz76KNPC/KFWV3w9mx8F7BhVOhpMCkHJhgU1iSQN7lLJVZUAqgmduVucnx+TVZiTr696R5K97HKRdwU21ZdWINFkIo5QP7r7lNEfCoN5nqWh9NTWk44JmLoJY5hVAwoBHJAxaOEDhLoYLA7XDv0LtqGCdKWDxqYHPcDQ6O+F20BSgBuVVW5FI3PKcSN9GfrGlDUkiIIuD5UAoHSgI/AENtcxX6atDH/v3pfmzQq3pf64/s2xbbMag0G63BzdsGXzCsvRHfNEysZ9ORQASb+y75YLNTv92sggGs2n89zZQWOhaWQkIqL5ZFKT4twLQ2WRXY6gEE/ASCuBTA6O3JXzgdiBD5J6na72Q3l2FWsptSu/294fT3ajx8TGVcEFO/fjRs3Lrmgpf749qvuqwSim2BbZrUGYyBGsdon80rLpEcAw5MZybPy9IL5fJ7TIFwAp60Sw/JcK1+YgjZgMbiBXB+g8ik8DBQA00HBAYptLI7gYj6MyfsO6/A5kO6Wct88WyKKHlmNU5b8fQkgVrmPpZSCVSwmTuVxN/L4+Li2/X70sFJf74f9XXfbMqs1GAOcKJ3rTNLl5EYABE2ILzrsBrYk1WtakRU+m82yO4hL5bXSJdUADveQ8yTVkjqj28qUIV/lOWpuXmbZWZkPXNr1dAk/zwMF7gLSf/ZzrFcZddbmLlpkRE1aUQSFCDx+vp8b9a8mpnQ/gOXmfY2A5Oe7Bnndbcus1mC4AA4wLn67puQMTFpGsjy0719OX8iUtp2VAXKtVisD1mg0qrmWgAVAgavnme8wPunCDfMBw/EwMp/+4gK7J5w6E/MkUYBJWgIl7qi70lzHNTx/xs7+vD/udkc3ahXQ3K/AndLF9KGTk5P8v+eaJe2qyZrcu7htk3WrzYHlB2heHsYTNJ05+a+7A5KnLfg0DAc2305qgEcZaYdzjo6O8uKmDG7YEtdyVy3WnmLRC/4kXQInf+WeSWmI7M4TXX3JMBgm7XspGiKe/kw9q92B2J+HZ7TTLs8dKw34qEs1HSdJJycnl+brlUDF/7DIkkr9coa4aa6f25ZZrcGcvaC1MD2G/RhaTUrLsi0wBrQd12W8EgNtOehEF4McKSYqw2aY4gKAwlpct/H++pw9hHy2OcjAKvr9fl7gYjKZZOCpqkrdblfT6TQnjiLSOwuDXZGQSv/8L84EcKEfdhgHecl9Kx1TYjT3w3Yik4rsyi2CTsy/i66k/4/u1528TrZlVmsw11rG43F2ydjnZV9ctCbah7jM4PVzfNIyVqqHBSNiP1Njut2uut1u/uJ7hrwvROpMicFBBND1K45zFuQ1uubzuQ4PDzMzAtzQ1WBCMY/LWaDfL/2OhfwAQs/R8qhcHNwlAInsKB7nrIjrRW2syW3kmKijlQAwXtvf369beR1tC1ZrMGdW0rLCJr+O6Cuu0bh7hnBMhU2AywetV9lstVoZgNyNAwTRnzyTHD2rlCHOMR6hc/bn4Oh14SXldgE5T1BlO2kV8/k812p3Dc3dN9xc2nV3kLY8Wx2tK+a50V+sxEquYkEOSBF0/LgmNy+6gVcxo5J4vmkA5bYFqzWYT15Ge6qqKrtegBbajQMSx/Ae8xLBnOcF96bTaW1VGQY+r91ut6bv+Jw+H9jsd8BlEOPKepQREKuq6tK0m16vlxfIoJ+05yI+Gh8sjUEMENJP9vncSGd37gJ6GgjbV4nTJXfuKv3JP5eAzn8sItituk5TICDaprmCW7Bag/EFPD09rU329eiWsw7/7C4UAw+ggJHh4gBOLtxzPdw52BEAShsuuEd3SlqywKaoJe25kO4JotLFnD+WDAO4YEjtdjtHGV2oJwGUKT6eFkG/+PP+MHCjqO5aVrQICHHgx3McNHzfKg0pXsPdx9J1S6ws3nup7U2wrcC+BkM8RsfZ29vL7ol/WT2fiGNw6Twp0rUXF6ElZZaCGwlAso+JyN1uV6PRSJIyC6Ke+mQyqUXRYIW4b9RlZ5u7t0za5nrtdluHh4e6c+eOOp2OTk9Pa1NvSGeQLgY8Na9cxJeUi/qxSGpJt/L2SKNwAdrPi2wFiwBzlcgez4male8vAYm7pH4dB6Q4LcfbusqVvc62ZVZrMLLMmeISl153rcorGJBOEMVzFmDwLzLA4nWenCm5C0SBO2kp6sOycMP29/e1v7+fV1vmOl5YzzPcq2q5WjKA3Gq1NBwONZlMJCkzRYILvV4vsxw/3wsB7u7u1oIRPl2nBBhR+/MoYYycrdKYSlHBVdqT5401uZj3w3pKzMr7WnI5/XWTbAtWa7AoFsM+/Mvt7IQvqLMm12G8zAoRPHchPYGU66MdudsoqVakb7FYaDQaabFYTjwm2ueLsQJ4HhVkG6xGWqZn4LphLox3Oh21220NBoOaniVdBlwHLiKHXNu1K1xQ31dyB12biyBWYlJNgMF+Z3ocVzreASm6kqXtfu2rxPxNsq0buCZz8ZzB7+wBLcoZC4BT+uI6y0CY7nQ6tYVUaR8XkiWyYqE9GA1VPNHEaMu3M+gRwemb60heQ77VatWYmCduch3MXTdp6SLh5sHq+BwTWZ1l4VbDejD6RLt+fIlJxX3s9+PuxxyEIiNkWxTfS+6nt9GkiW2KbZnVGoyBxSRcaTmgifJ55A6W4myIL6jnJ9Eegx+Ny9kY53IdBq9XI2VSNADl7QKWXiKYzw46DJKYY5VSymkUmE874j3MiWJ8MKTImjqdjg4ODnK6A8J8r9dTr9fTYDDIYMo1aCOyqZLIzj7+b9FK4ndJ5I7bSttLoBMBqiS8O5iWjtsU2zKrNVhKqZZ2ABtw99CBhW17e3s5u5sUBmkJCLhcvs5gXH6eipsOHr6gKUApLZkG7dLHbrebqyUwgBH9vbSyr6Azm83U6/U0mUzygIQ58R7g9ERTrseEbI4jn8uZFUGAbreryWRS0+E8mRXG4kI84OvR1mgl9kOt+iYwaRLD78d1K4Gen1/qT+ncTbEtWK3BWB/PXQvPyIbRoLHAXqbTaY5+OaD5pF5qSLG4gs8r9DwjGJSnLgAcaEruorEiM27c/v5+ngDtbMtTJbgm02LOz891dHSks7Mz7e/v16pBIPKTD+YLX7DSDczJV/Dx0jXoVxQL7HQ6mkwm2WX0aTk8f/ruUUGeLxY1Jd/nkc6m6N39iukl17AEOjDdqxjaJrEqaQtWazEHjVijieRHwAFRmi8fAxdXkrQC3DavC+WZ3HxxYRa4iFwXloDFuYpRCwI46ROAizvmCaIOHjBCgMXrrHsAABCJNedZQxAw43hfzJV6Vj41CfGe40uA4v+bqHlJKoLaVcAQ2U/cHo9ZtR/zaVZNTKzU5nW3LVitwbzukrSsEopb5McAROyXpNlsloEIAPD2cKs8Xwnx27O6casQ5X2+nud8ufAPE4P97Ozs6ODgoOa20W9AhPMAE4CSFXFwlxyYpIt5kz7n0YMBXrFUugDhbrebr9dqtXLemD9TDzgAsDx/nh0AHq2JXUVAiqkK0YW7an8EmCbGFa/bxAw3xbZgtQbz1ARpyS6c7fCFJhzPgIqVPRGUyfymDQcerynlDMjZVkmrYQoO+3witaTsStJXT2hlClFkN9Iy6udA7HXXYUWAKDoa23zxDOnyYqAcS1VU18YAWdeMSuJ3E1vy/CnX/dxWAY/vL32+ygVs2r/JIIVto4FrMP8ldybilS1hRyRmSssaTrx31xAA8Kk7rs94ygOJpF5XC7bm03DG43F2u2BKHI/ATlIroIUbG8EWbY17iOkKgCfAyh9gJi2jcWT/wwp573lgHqzgfNgY2pfnWnmkz/ObVlkpctdk0XVcJaTH9hycSsC4ymXcJNuC1RosVr/EXZKWxfI8hcGrDjDg+NJ6IT7P3XLdCj0KJsR5tEt/cNMk1QaxC/WTySQPEAY758LsYEgAAJoWc/mYd8gAhBX2er0agHDvJHwytxAgp3+AV6/Xq80b5DjXx1xQj2zEWZWzQLfXAzilaF6TgM9r7Av/z6b2om2iVoVt3cA1GAK1fzmdRSF0e311joN9AUZeHC+6Wx6aJ1rnOU2AC+AG8FAMz/ORcNUAk263m5mS/+qjocGMiHziaqaUNJ1OM5ui6B/LebkbDJiOx+PsvnE/ANnZ2VkGUGd4MDjujSlO3IeXtgG8YtXVkhbEswTQeI4OHDGZM1oTcJWiht4Pd+W9Xb/+VfrXdbYts1qD8cXDvKQJg8s1JMRgL3YX5wDCJnjlOjAu0gRSWmaO4/IBWLhcDEIXxSXVgBUXzAGNqJ9rb66HEQl0QOUz7XJdj4T6ZOX9/f2aqxmZyMHBQc5Hc/YXy8lIy7URPdEUEHKG1TTgS2K5t38Vw2oS0kv7/JjIqkosbxPdwS2zWpMR7QOI0JpgXB4plHQJpPxXn9LE7GOCNIPC86AY5OhWngHvAj7Ho2N5fhPGSsm4sIjkXiur3W7r+Pg4AxwpGQjeJJJSbA/3j77Dhtwd5b55Hu5yegTTJ4VzL348UU8YnWuJPO+rooKlfc5soq3a50zYXUAX9EvgGPWwTWJTbluwWoMx0Fw8ZgAxR5BKDPzae/a1uy684tq4cM0XnYEYS8MAQDFy5r/wrq3hljqQkOzp6Q7cT0opAxEsLoKh94vrACpcC3fP2wUMPa2j1+vlRFXPVQMUYWnT6TSDkLcTB7lHKznWrcSYoltc+t/HaDDbo8vnGpoHVPx6ft2rrnHdbQtWa7JYF93TBhyQJOWqDAxCNCHO9Ux2/2X2L7pHEaVlzpHnLQGW7n4yqOkPTBBXjGu7VoRL6EmbpEEgknu0zl1Sj4aSXBqrSPj0ok6nk13V4XBYy9fCpXRX0gc77fLDgcvokVP/P3B+EwiVdCOspHlFAOJZNQFUvH6T4L6pbuBWs1qDuQAcWZIX4ZOWxfPcLQC0XKiXVFuVxt0lF4M5Dsbg4IBLycCliif9oQ+Agc/rixOz0YgABO4V8yoTrse5ZgVz63a72t/f18HBQa4oSlsAFWkWVVXVoo2AGsyPyKEL+WhrDvD8n6LLVwIKrIlNRVCJ70ttNoFNk+hf6tOmgdaWWa3BcH8AImc9uFokP3oulP/6w2So0sl2STVmwHuK5gGM6EyI666FuBvmU2o8l8qjfVVV1dIixuOxBoNBFuCJchII4Bn4pOIYVAB0sLOzs1pVUQYibh0pCkw7AgwBKoCcvvrcOlimu82u2XnGu2tOTS6Zg89VUbpVulbTfk/CjSxs0wDKbcus1mCevOhzAz16Fb/0sBBpmbnOAIpz3pgO4ykJLjRjfLkBQ9gNoOdumhe2A2wBBmeBROIAFJgP7SDK0z77pGXUk/IuDEgGJZFO7rHX69XcRH9OTOguTa5eLBa5GB9tx/+DM1JP/4gaEZ898ODbsVUAUgKcJga2CgBL19kksX3LrNZgMAAAB+EZpuXgwoCVlOfywQzcRaNqgQ/AuDoyFQ38uE6nk6OCuKAMXmcXlCLGiKZJy0oPMENYComcrVZLd+/ezeAB60HYn8/nunnzZm0iNqVkCB4AELA1F9IBf3+Wkmo5a86ypOWq2CS0ct3S9KFSgmgTGEUw8f0RdFwALzGzqFlFZubseZX4vim2Bas1GdnccUJtTMREc3G9B9fFz8Nlixnq1K/iWK9uQARQWobNActYTpg2/drsOzs703Q61dHRkV577bUaQLi75lOAqOpJwACgwW2Mrq+vR0jffSVnDzYAbACUA4NrZ7BCGJ4nojqg+PaSwB1BxkX6GBnkc8z5uh+9qmQRGJ31bRJQSVs3cC0Go/EkUAZuTBZ1LcWTPnGLnInhcjG4yI9CiPe6TzAJX/LKi8idn5/neYEwMa4vLSNy9JvjYW4wKqJzTILGTXSxHhYFawLYSCRlP8DIM/Fn6MK8Z60DurCvUkIpjDI+fweZVcJ6FLsjA4vnXKVTlTQvPyb2K+ZeNUUMr7ttmdUazBciRVty5uQrMu/t7dVcQsRokjqZpkNbXhLZM8JJM5CUKyhU1TLXq9vt1koa+9QT71usp+5ANxqNMhB5GRvAtdvt1jQn1i+k3ZJeRAACgOIYr/zQarVyORlPdOVe0PRms1l+ZjBPTwwFMJ2ZuA7o+lmJ0ZR0pqsidyVhvNTWKkCMov+muX/YFqzWYHG6SUopV7TERQKwTk9P1e/3G6NNDGAYBa5gTBXgGAdCRGmvtAADYjD7ZGqvt+5uqg9mrs09kFcF85KUQdin43DfzO/jPj2fC12OZ0Y1CCqfcp9e1hl3UVJmhx6giBVRHcA9KOE63irhvAksVoniUb9yET8CeLS43X/UNg2w3rQbmFLaSSl9PaX0f9/7fDOl9MWU0rfvvT5kx/5mSunZlNIzKaVPvtlrv1WNX3y+hL7Ip7tF/KpPJpMcusetwvWiHfQXn6oiLd01SbXFFGAbg8GgthoybAJxfDAYXHI5fE4gfaLtmJfl1Rw8ugjAkZ/lK+YAbicnJzo/P8+5XzwHQBIQl5YFAx3Q0b3ou7vTHt1kv+teEQAio/JzoqtXYkZNDEyqp5q4+bNaBVqrWNYmAdYPQ7P655K+aZ9/Q9IfVVX1lKQ/uvdZKaUPSvqMpA9J+iVJ/zqltKNraP4LTXY17yXVWAO5Rv6lxd2BQcBGzs7OdHJykhdvgM14jShp6d7gXsX8JoR3Mss9NcCXawe40NF2dy+Wdwe06K+0BBPYDK4j4Iwr5kyJ6+BG+oBlcrak3Afvj6ccRIbJvXjVilLmf2m7Tw3iebE/bo8gxXEOIiXAKwFi03Xitqb3m2BvCqxSSo9L+s8k/Rvb/ClJn7/3/vOSPm3bf7uqqllVVd+R9Kykn3kz13+rGoMYABqPx5KWE4E918mFZ/KavDpCHNg7OzsaDoe16gu4nZPJRJPJpKa9SPUETXfzRqNRLQJHv2A1h4eH+RrT6TRXXQAoDw8PMzsrRSTp78HBQY39oUGhcTngeX4aiafu2nqAQFoW6qOeFwCF+O5F+zAHqlUD3t2tEospbY9A9HqjdyVta9O1KuzNalb/q6T/SdKBbXu0qqoXJamqqhdTSj9yb/u7JP2ZHffcvW2XLKX0WUmffZN9+0c1rweOfoLO45qWF7PzNAepLn7jigFgMKpOp5NBJKWU3S5fg5AvOW6gL0rhEUb0IE8uZUBzH7hpKaXsrqJFcSxRTJgeaQu+4g711HkmXMvn8+H+8myceXnpZ5gcQOzPzlNFuIYzTXcrnS1FnQmLLKh0btN5UrMGRt9KwBZBr9TuJtgbBquU0n8u6eWqqr6WUvr4/ZxS2Fb8maiq6nOSPnfvOm+7nxL0J1wez5z2pEpp6RK6iO7ggEvnrxgDnXX+cMNILvVcKpZYR3C/e/dudkMBxPF4nPsVo43SkjHC0nBPyWiXlFeh8QnCLurDemazWa2cDIOWPnt2vut/uLWAN2yUHwRf6AIQdDCQljln7qp70AFA5Z7dnLFGd6/EskqCu2tUq/Qyb7fJVdwkpvVmmNXHJP0XKaV/Kqkr6TCl9H9Ieiml9M57rOqdkl6+d/xzkp6w8x+X9MKbuP5b1mJkzsGq1WrlqSYenvfBSBvSMimTNnywuhbkGe5ExdgOYwGgACePunEtT/iUVBu8Dqr0mfNghf1+P7MuB9BYwqbVamXQYrszMY5zkHaNzCc185k2Yj6VT1ci5cKPiYBSAhBeY85Tk8bUBFR+ziqdqmQlfWuTwOoNa1ZVVf1mVVWPV1X1pC6E8z+uquq/lvT7kn713mG/Kun37r3/fUmfSSl1UkrvlfSUpL94wz1/CxuswvWYuEIz0Sq+qAwy3BsGEomO0nKA+rp66Ee4edPpVMPhsLaun7saUn3VZvoFcMGYcPccoDylgevBYPw+fLBzPACJnkVbaE1em95BC1e30+nUVvrx/C+eJayNawHMPB/6xHN39uIaYnxuTUK6f/b/rT/veB2sxLZK+lYT29o0oJLWk2f1W5K+kFL6NUn/IOlXJKmqqqdTSl+Q9LeS5pJ+vaqq8jreb3OjSoDXUvKIFZoNLkv8FedXH5Do9Xoaj8eZEUi6pCnhMjFwPVnS58VNp9PsDtI/omsAFkwJlpFSykI/+2FxziBc0GYSMqzI9S6fHA2ron/uIgGIHgRot9saDof5eri1uIrR3eTZcE8efIhA4v8DAFcqlzdu0pBKmlQ8pwRo8XjXv0pg6SxzU+yHAlZVVf2JpD+59/6WpF9sOO5fSPoXP4xrvpUN1wpgwbWCCZDVjitEWoInZXoGO19MF9hhCJ4pP51OM/A40+FaXpAP4CFD3pNEmfzMQHHtCBD27HAXwWFLABRlW7gmTEhaAgJ/3KdX+XRXFnB1AAN0XcdCv5JUCwhwTQf2CF6YA0ETKEVBHHCJwOb743Vi+xG4Sgxuy6y29kMzZzcMamdWzrYANQDNWQdLXDEIIiOIU1T4o/oC2pG7WDAeAMXBDCClPRed3TXy+5Dq2sl8PtdoNKplpXuOlddE9+RU3E1cRq7vQO/pILBGgN3TQYhOOkhHJgJrxY11xuNBDn++DhzR1WX7/ehP8RmWwCuCVgTPTWNV0has1mI+N82/WDH9gGgVgJJSPSsbdsWAcmbhNdy9+J20nCA9HA5zxAx3CwB0F49rARq+UoxH9XjvlQtcpC6lBHBur9fL4HRwcHApO99dzJjKAJjQT+8/r84yOZdnzjPyQIe7YF4toqQ3XQUoEbSjuM6+0vkR6ErXKrmNJU3rutsWrNZgCM786kvKwq//GnvJGMCIP9wossAd+FzjAuBIOI31nMhl8qRQWBTA4HWxPCnTgZPqDD64nLE4uEkXul2v18v3v7NzUUwPkOa4mCdFn7gPzzWD9XB/Lpa7aM9+dw8BKiKZntYAK3Owg1l55n8ECQeVkqZUAh8HNrfSsa8H/DbBtmC1BvNfQBIxEaV9EjIMzMPsZHH78u+uS+E2+gDmOsPhMG/z+W+TyaQ2HQYXEDaCWI77CIDgsgEg7so6sJIvxbUBBEk6OjqqFb/jleXpSfHgGoCIi/zOqhzgcaNdf4p6lPcJAHL9yzUsz3Xz60QdqgkoVrGtEgiVAMvb8jb9nE0Frc1zfB+AedSJ9AIffGxjuktKKSdWOiAxqKgdBSAwuPmM+8bA9twqstu5FqkJXvtKWkYopaUbe3p6mqe8ALpe54oEVM/Kb7fb6vV66vf7ORrnZXBIl4BpAiBxPUVpOVC5HyJ8kvL1Y06V6160zWDnmfr/xpM8vQ2sJHA7gMa+rnIbvb1Su26l812bLB1z3W0LVmswGEuMYgE8/GrjcnmyoqQMFP5r3mq1aiwCIDo9PdVwOMyg4NngPjABQViCpFz9YTAYSKozEJgRbNDBkXvxMjBoYi5QO1jgerkbR3G9qqpy3hfHdDqdrGMBrLjXUU9zMCMayLVxZ70/Xo0BcyBz8x8JLEb0mj47qDQd77phfI3v/bvA500CrC1YrcHQZ6SlSO6uINNoPA+JFVqoEcWxXlEBxuNiNq6TTzvBhfQJvT5nbj6f58RPKnUCTlJ9uhDTZ6bTqV577bXaYEcLQ5Cn8ij1s7geYrqkDKbMb4QhSctVrAHVmOKAyyjVS8JI9SKHHr3kfBhbTP5kmzMv37ZKl4rbfHuJsfm5rtFdpYe5RTdwK7Bv7U2ZMwAYh0+j8QnA0vILDzhRRSD+ksIwJGXAQw9iEFNWWKqH2Gm/1+tlLcqrZgKivCfq6MXs3vGOd+R0AhgiS2UBboDWYrHQwcFB7re7rp63RQY9Wpq7ugAjWpoL6JLyPrbRFz+OSB/PzCuTYpF1cb4zw+h+NQFLPMbPLx3jx5Y0L/8/xghibPe625ZZrcEQ0D0dwZmLtEzWdDcL9uARM9piSgqMpKouMs8Hg0F2hWBkHt4HxNCaoivGlx+GQx98oFLAD20tpeV8Qlzb+ximCAAAIABJREFU6Gpxb7hxLFKKSwqjdOEdZuTupbQMLMDIHJylpevpOVec59qfP3tpya4AChgYrp8/G/+7yvzYVSwosqySVhbbcdDcJKCStsxqLebTVhB6ARdcHUCDnCi+qAzklC6yt13jklSr9glro/SKR+JgDp5ZDnMgrwlXcG9vT/1+P4MVxzI5eDAY5HvyUL6nWDAp2Y/BhWWqjlcLBYjJF0OzIxoqXVSBALQBLJjZYDDQyclJBhUX5jnec92iHuRaFEAYk27dJfTIIq9NbqIfx/sSsJSifE1MrbR9y6y29kMxd0WcZRGyhwHhHnmSJUDG4HUgAvxgEswxZHDBLnwpdl6J3knK+VcwHF9hhleAhsHsVUI9VSDmjrHv7t27teshorfbbZ2cnNQy1LlH7g22yEo4KS1zqjyQwHMCTIhA8uxdO3K9jffOJOmHP29nWQ5Q3n6J9TQBDhYZ2io3sHT8pgGVtAWrtRhRKY/aeAQLwCElIeol6BOAgbR0G6XlajKnp6c6OTmpRb5c8wEYfOKyA9psNsuJm+hXHlHzOYBc311FBpinaiDO0ye0p8ViWdKGe/fBjc5GCofnavlgd8D2WvHcJ/1yNsl989kZU0lcd8BxIMMiUyu5iCWwiftL4LWKnUW7H5f0OtkWrNZgDHYGjeshvrIxgzYmiPKr6dUGiBYysPb39zMIAQKdTkf7+/vZLcR8MO/t7eVzWTkaxuMgyT34/EPcVkR6d11gjy7Yw5LoA1ocgEg0EYACnFw3Qgz3JcLQywBUninXcFfW3TlnoLG2Vun4ErvinCYrMSDaKh0bXc+S+M7rKjDcBNuC1RqMEL4bXy6AyQek50NJy6ky/gUFRBDkqUYAYJGu4IMKFwVhm/Zwv5yFcDzRP1xQF8zdJXTW4iF4jpOWg5FyNUQhU0ra399XShfF+rrdbi3Xi8ggIOn1p9xtdBcupVTLpHe3OLJagNHriXG8R958Cs9V7CqyoKhlNQFc/N/H70uTKL9prEragtVazCsXACwOMr4KsVSf/8Yra+Ex4CRlUKIKJ4MThsF23CG2e1lhd3v29vbU6/Vy32BgBwcHWRR3bcoXtPCqCqx84wmZDsjOGs7Pz3Xnzp3MLp1h+dxFzxGDEfIsXIMCpHxw0wcMgAKAALzS/EOPStJeE9i4vhfBqaQ/lcR4Z29uzvRu3rx5iWk1ifbX2bbRwDWYV+l094nBQiQv5h4xQNiH+wMY4G5RgoU0BiJ+gNJwOKzVXwe4ABuPFu7u7uaKCGTFA2S+jNdsNss5XA5AABa5WGSq0z+Phj700EO5EsTt27d148aNDNr0A80rLmzKYL5z586l5ynV0xFcJ5Pq+WaeY0UfY615d1955qV0iZKL1yR8NwnoDtKxDY49Pj4uXqcp8fS62pZZrcEYyM4OSl9WjkEMJ5mUwYaLByvAAB7AjS/3ZDK55J6QX0VGO5qWJ6s682FwsqQXbAyXiXmFXnKFfK9er5fbpv+wIlzYwWCQmRRARTscSy4X7NIH5WAwqM1TlJaLq7o2yHMiPw1mBuNzUOEZ+f/FI4Bxek+TrsT5/j9xVlZiTw6QEch4Rff0a0U2twm2ZVZrMLLPd3Z2dHJykgcIqQoMJs+v8tIurdbFunq9Xq+YzFhVVZ7OIy0HAcyIOXfY7u5uzpWCXXjlBmc3vpSXTxOqqmXlhVjSWFrqQQCJF/IjPwqgAxzcJeP6tAegkH/l7bDgBtnrzpQ8EulTkwBDXxwDhuaubUyYdR0riuBXMSr/ASiZB1NgfrxGsb3kasY+XHfbMqs1mIfxWe0FYKJqgLTUXHq9Xnav0IZSSrW5gS5ye1lkgC9GlFzwph2+2KPRKC86ISm7mZ7aAKB4FNLFYGeD3HNVVTm6CDgjcMeUDNgXC8ByLLlVrhk5YHNdXxU6pmf48x0MBhoMBrVcLfrENnczaRPz986MSsBR2t/kLpbOc+Dy/f4j5UC5SUAlbZnVWszXsZOWC2vGKp3s80J5ngYAULiQy8Dni+olil0jY+BHEXhvb083btzI15KW6/oxUM/PzzWZTHJE0JfnAsRI8pSWQDmZTHR2dqZer6fBYKDFYqHj42PN53P1+/2sewG47mr6c+F9t9vN4A1g8lyYi9jtdmtzDAEvaVn9gsEOI/R75RyvJ49FoIlMKpqzWY++XgUqkUldJc5vogsobcFqLeaRNU+qdFHUI3y4OHt7e5eWqmJweUE8n/w7GAwyCLp240xHWrI4opH0A0birh56ECzJtRcP5ePueaIrAv/BwYGqqsqshvYBUdd7fBoNxwKogPhkMqmlg5DZLy0ndfMe7Y5aXtJyCTBJNVDGmPrDs3I2y19MEC2BEM/Ac7WiNuXHRo0xthvdQQfBpj5cV9uC1RqMweMr3GAuvsNc2A5TcFEbN86L5HlkCqByvQVQcWDBdfQBOh6P88Du9/u5DYR0mMb+/n5mN/SNjHTysmazWc29Go/H2QUeDAY1N9BXvMEFZYBzP6RgAITOEL3+PJO6iWjC2hDq7969W6vjFX8IvFYWPywe+CgxqqZt7taVginRYtBl1bG+b5MAym2rWa3BPAqHqOzLWDFYY4gdXYsvI4PME0hhMPzKnp2d5QnJnA9DcT1rMplcyqZHpHfGRXIp4Li7u6vJZKJ+v5+ZIoI8yaYAgC+AQb9IeyDFAVeUSCEA5RFGv7fDw0MdHBzoxo0btQoTHO8TqyWp3+/XUhFiJVQA0lNLfJK260SlaF8TkEStkDa8b86I3EruH59L4LWJLqC0ZVZrMeoqScrVATyfptvtZtfH84QYMF7DyQGAgQwrIzfL2ZInfrorAjsBMD0y6CDpg9VrWbnLCGDSf9rlOh5Z87ZJAqV9JnXTb6KYPicQV5fMd0/4hC3t7OxoPB7nVy8YeHBwkMV49D/uK+a8SUsNMUbi3A28Ko3AXcESw4quXxNTatKx3DaJZW2Z1RoM146yvDdu3MgAw0Bxl8E1H0CE/Kx+v5/zlyTVXBX0IHKdJGWXDPcIRuPZ5lVV1Sb9km5A330SdKvV0v7+fgZZWEm73Va/39dgMMigBZh5FrsHCchlAiBgOjwH7s8DDa1WS8PhUIvFQoPBQA8//HBtKhLAj/m9An7OXA8PD3NKSAQC/hdRm5Iua0ecF/d5eyVGFcV0Pye+rhLoYyRxE2zLrNZgJDVSHgXXw6Nr/Hp7giI5Re7q4Qo42PT7/UsiOcegVbHNi+85Q5Kkw8PDzEjQbRjs9K/X62WQxZVywJJUS1D1ulYwK8q8sB8tiIx1ooheq0tS7jtRw+PjYx0dHenRRx/VeDzWaDTSnTt3cn95Hp7EOh6PcwSSe/KVg2DABC48m7wpQ9yF7qaoX2RFmLNdjmOl6ibR3Bk4+zfRFdyC1RqMonmE9tGUYBSwDAaGC9sOaJ7e4MzE0wmkZc30OB8PcPKBChjBsGA3iPY+N242m2XgdffMK5sycHD3mDYznU5rUbl+v5/vzVdAJnpHAi1ASlKpFzLs9/s5NcIZFue7WM6AJ7UBMERHk5TZHWAZ3TefKhVdw+jORZbl2pXrkPE4nh37nHmXwM7PLe27zrYFqzUYE2spfAcosK4fX1CAyysZSMuFE6SlyMqXmKRGjuOXWVpOnaGiAflN9Ofs7Eyj0UiSamF/Z20OerhKABHRSga3s0IEds+Qp68U26NNngHu29HRkU5PTzWdTrO+V1VVBi/K2nCPZ2dnuUooQQLPbfP5idyrgw5ACMNygb3VatXAjv8B5u5jCbTcIpCV3MaYiuA5Z1dFBf0am2BbsFqDpZQym2LwwAzY5+F4BwUEdmmpT7mYPh6P1Wq1MmOQlMvFcB5Mg0ELo/Eomg9WWAR990m/zvSIOOKusSoOQEVGOjlWgJlnvFND6+DgIIPZaDTKTG0wGGSmSHvT6VT7+/u5jhbMg32ScqmZ09NTjUaj7Nbdvn07P2NpuQI02p5rSJ4S4gzJc+KcNa3Snvyz60olZuX7VontTe1vim3Bag3GQIXNxNwddBupnjfFoPA1A2NCJW36l92ntMTJtlJdhEXA9rwjgMtFXf5gSA5ynj3uwrwDngvAfOY5ANq4edwjmfMeycR1IzrqETYXzp0Z0i8Y1HQ6VbfbzQu9Ssp6YklM5x7ivfBcS6J2aT5fjAKuug7H+TYHxBht3ETbgtUazMP1/JK7DoKQjosECMAGXGTGTQRYADlffp2oI+zHa0/Bgvz6nsENiDDJNxbO8/QAonpeMgU21Ol0cuma6XSqw8PD7AoDDAAfgx02xj16ygPPDbfWJ0IjzHM/7XZbjzzyiKQLt3Y4HOrk5ESj0ShrVGTB+1Qkz3DHSgzG3T1nu9JlNy6K4W4ORjEHa5WVgGoTRfYtWK3B0GMY5LAXF28BAo8YEop31iUtl6KCWfkfETffxiBHo/IaVGgyDBiAB1ZGf4kqenTRUxRI5nRtidQFXDGSOLkXrg8T9NruTK3xyp6AwGg0ykuBueZEZj19OT091auvvqpbt27p9u3bOTnVc9RiNM5TG0rA4eDgQrn/X646ztt+PW7bVakLTfuuq23Bag0G6yAqiO7j2d8ODnzpU7pIdzg4OMjTV5yVMRDifD/PIud4QIV9uEpE93y6ztnZmQaDQQZU2J7rXK6rLRYXC5h2Op1cAofjpQv9qKoqjcfjWtTPk0RdxwLUh8NhHvQwp263q8PDw1q2PueQf4bgX1WVXnrppVoV1ugSe46btEws5Tm6HhVBzFMZYIMlphMF8CZA4TnEY/18dy+jqL5K47qOtgWrNRiDG5Dx1Y89QiUt5/b5vLXRaJTF9qOjo5w2gFvl1TRdc/GolrSMFtKPyWSiyWSSk0kxB0RcUU+tgD2wtqBrS6Q+wCQdmAGWs7Mzdbvd3HdPA+A8r2AKEyJCKCknn3I/s9ksMzoY5quvvpo1LnelvZbY7u6uRqNRTrPArfNZAFK9nLR/vh8gKm1vSnEonRv70ZRIyv5NsS1YrcFcdPaFGRCmXQPyULmzIqJ5ntEOUJBEWBo8Uj3xMOpUuJ6AJswuMh+/F7QwCvtJyveCSA6QeFY64Mm1SScgGho1sZjLRBa6T7HxKS9oc4Bkq9XKK/1wjzApAHQ8Hmcg9onZPAuu7dOgIoOJwre7eE2gEsVzP973Y95+U5rCprmBmwPLD9B8zpy7CpIuuRoI4/z6+yRnXMV2u50znHGXvFyy61lerM9LxvDeo4Y+Bw8GNJvNMsiwD3YznU41Ho+zu8dUGiocAED7+/vZJfX0AKJ6fu58Ps8MjGdHxVIAGqCkMijFAz39gyz5g4MDScrM0Qd7LADoGh37PdE16lxRJyoJ3Kv2YSXw8QhsExA2RQs3xbZgtQbjS+4LeZK35L/o2HQ61XA4rJUNZjs5SHyJp9Npzjc6OjrK+VUAFV9ogAfG4WVn0LI6nY4Gg4G63W4GTJgXk4FxXV0Ih/WklDQcDnV+fq5+v6+jo6Mssu/v72tnZydn8lO6xaOQLuQTqWO/r95DsqhPOPZcKc/Fiu4xzI/nffPmzRqwO7OSVgOQdFm3Kp3zekXxCF5NAFTSqJoij9fRtmC1BvOon0+LIfInKYfUcVMQ4jnfqwLgNvFln81mmW1Qu4na6a6tSMtywbTlbqhneaMdoXlxTUrLwOoAOhJPW62WRqNRnmzMXMK9vT09/PDD2t/fz+VofKB7zhhMDo0KBkU9K2k5p9D1QI9W8mOArgbQulAtKc8ldPEcQOdzjOxhkWVhURT3z/5DExm1b/M+8v2J5izRt22KbTWrNZh/2XAJYTV8IRm8COd86dC4EIOlZXRRUp487MK0f/m9oJ1rZbSFPgY4enIkkUDcRM+5kpaDkDbu3r2bmRPtDAaDPAj9nikgOJvNsq6EC8jziPoR7MdBguvTB59XOZvNtL+/r36/r+Pj47wfFgjwRQDiPv1enbFwrh8XUxGi6xZduJKtcuOiRhb/D5tob4pZpZSOUkq/k1L6/1JK30wp/WxK6WZK6YsppW/fe33Ijv/NlNKzKaVnUkqffPPdf2uapwcwqBCDpaWbCNiwHddLUmYwnt3uIjP7XQz2MjOwNheYXfh25gaTgo2gh3nCKe0Dhp6g6nlM4/G4Ng/PNTOu56kODLzxeJz7JC1rcLXb7VzPimfIe9xKWJln28faWV4GB0YZmY10WTtiWxTRo/H/bHLxsAhgpQBJk6bF8VuwemP2ryT9P1VVvV/ShyV9U9JvSPqjqqqekvRH9z4rpfRBSZ+R9CFJvyTpX6eUdoqtvs0NN4W6Sf5rDWgAJj5gEalhPIjt6FIOVp5TxRw7H+AAA19uZ1owGs+CBxQBHQR42IgnnjrjwiXFXT05Oallpk8mkwwuXpoFAPdCeAQKXNvzKCrHeFQTwIaR7u/v69FHH8337gmjPFsHy8ikOA+LbpunikQwWyWu+zYH5JKGVQJQP573m2ZvGKxSSoeSfl7Sv5WkqqpOq6q6I+lTkj5/77DPS/r0vfefkvTbVVXNqqr6jqRnJf3MG73+W9kY/HyxACGP4MVsdNgIuT+E7IkQSsu6WFId+Px6zt6YIwfgMLAdgCTlxRiIJFZVpdFolMHME0thNg58p6enmRlNp1PduXNHr7zySr5/wMiBmvuBnTEQuW9nj4Af90mbgCVtM+fx6OhIP/IjP5KPQ/T3H4cICJ4X5/0pgRP73Zrcvgg0JeZWstiev/f0jU2yN8Os/iNJr0j631NKX08p/ZuU0kDSo1VVvShJ915/5N7x75L0fTv/uXvbLllK6bMppa+mlL76Jvr3j2b8YqeU8lQX3BIXsf2XEi3H85xgO0xfwX0BzBDWAR0XzAEYJg17PhXMxl05QM9L/3pqgNeyIr3BV+/hftvtdl6IApfQ859gSB4UQICHiRKdlJQZKsABoMOyiJ5y76xD+NBDD+ng4CCDrwcwuC/Pq4rTfPwHoOS68boKtKKofr+Ru5JQX2Jm3pdNsDcjsO9K+klJ/6yqqj9PKf0r3XP5Gqz0M1J80lVVfU7S5yQppfS2+294moB0ebqGDzrcHFw33jOo0X5gI7dv387TTxDnF4uL5a8o1yItl5j3EjNVVeVyMojp0pJhASxe2gWDdQCW3iaMzO/17OxMw+Ew63Ke2Y6Ox33i2pGf5as0+/w7f46wTlIeYGXO+h566CG122299NJLuU+wRZ6VRwK5T38eXJNjvFyMRzcx/wHyQEuT1lVy7UpamVvJLdwEezPM6jlJz1VV9ef3Pv+OLsDrpZTSOyXp3uvLdvwTdv7jkl54E9d/yxpsxxdEQFdylsVgYPBLyxpWsAv0KoBtsVjozp07WRjHBWJun0e/ACXXi7wf0pKNkWflmhXXxI0DdGBm6EGSsg6GPjafz3NEDgGfcyiY56Dd7XbV6/Vy4UC/DuVfGPxEDnGLU7qoFnr79u2cB+ZlYw4ODtTv9/N8Rl/1h+fH/4hr82PDe56ju5AwnhJoRD2qya1rApurIoD340peN3vDYFVV1Q8kfT+l9L57m35R0t9K+n1Jv3pv269K+r17739f0mdSSp2U0nslPSXpL97o9d/Kxi83WgkiM6wkpVRLxvSpN+4W9vv9rHMxqL2UDAtDSMqMjHwkBiED0KNyntnOIPBjXTSHMeEecj2AjZWWPdpIP6klBTgAtriE3Mvh4WEueywpZ7TD2PjMNdvttm7cuJGZJW7gcDjU3bt3defOHZ2fn2s4HOakVRJMPe+NTHmeCVFDfkRgTg4KsLYIItHFK0UGfd9VhovqoFVyDzfJ3mye1T+T9O9SSnuS/l7Sf6cLAPxCSunXJP2DpF+RpKqqnk4pfUEXgDaX9OtVVZ2Xm317Gy4KzMSL1Lk25NEoAItX0g5YB4/kTKle6A53jKjazs5OrdQv10OQ9n7FX336xEBhgHueFImiXGM2m2Wm41N64kIYKS1LvXD/5HPhLpJAmlLSyclJBlef18hz2dvb02AwyKVo3FWGKbF0Pc+T4AD37qwJdusuIPfi+mIpUhdFed/HK6xwlW7lANekS5UY3KZYeqvf7NtRs/rd3/3dS/Pu/Jc6Aggswr/M0R3sdDq5FIoPKi/jwvkMcACC7T7YYGeI2l5PyhmSVK/P1ev1sqtFOwxmzsPtYhoMZVy4d9iM55E5s+N4n3tIdjxABtMYDoc5+HBycpKfOeWfAXkqWcAad3d3dffuXS0WC52cnOR7GA6HmdHhTnqWfEopzz6I2pKDVUmHahLe34ie5ePWk1XfLlZV1eumhdvpNmswonfScgUVr6ggqaYJ+RQY3iM6s0oMc+NgA+QVOUBJS4EYACBBNbqTpDaQGkHUEAN8GEyDwSCL/mhjDmowOqa7SBeJrYeHhzU3lOfjQjzP5OTkJFf5JM8MNuVVIg4ODi6BPcvdex6W53Sx0hA/DMPhUIPBoPbsYHqwriYB3YHCRfiSMF4Sw3nf5CpG4Gtqa+sGbu1NG4siEFrHlZOUEz5jNjtMBDBwt8Hzn2AlDEiu5ZnuHpZnoANcnhzpbpMPuqOjo5pu5X0EBD0zPmpiAAhVTxH7Wd1HUo5eAnKz2SwzqJIQDZvhXhaLRa6pzjP2BSw8sXRvby+XRHbXcjKZ5P7wY+GJtDDBVewoTt3xPpfO4zP7rwKcEmjF95tiW7BagxFNw90bDoc1hoGbA6PAjfNUBM9JAiAYbAjbXMe1ptFolOupO7Dt7OzkeXi4X7AnMroRrwEorj+fz/OSYpznbh+iPNfiFZCi/z5P0lMHzs/Ps5sLMPokZp8SFIEZhgJDZHEI5iu2Wq38I9DtdmsJru7meVKpp2E4KHj0k/t2KwEIwO0uH/fl5zVF/XxbU3RxU2wLVmsyBj/M4s6dO3rooYtpkojVCNdEzGAsAB26E9E0n+tHaB0Xh6W/Dg4OalU7PbPdNSgAwJkIZZhhfu4i+SrLng6BRUEY0AUYJeXCfeyHWQ2HQ/X7/cwuAWTEds+uh8lwPZ+25EmqvlAEzya6U0RpHSxwzRyQnSlF5hcBK4KIA57rhvGcJvbVBGKbBlTSFqzWZrhAsAnEW7QfVmHxOX8+wRZWg7BLdQO+8ETL+v1+ZhsMVkRwmBiA58zGQQTQiOVWaIPKpDA/13YALDLEvSaWl3WhXQoJMvAlZeGcRSfQlOir54XxLL2yKVnvFOVj+pC72zzf+Xyuu3fvZiYFq+L/heZFfx3gfKrO/epF/C8jS/OIZBNjwg2V6tVfo+u5KbYFqzWY6yI+qXc+n+vk5CS7cFQCIKKGCOwTeGFElBR2tsTgcsbEwLhx40aeN+f1oVyAhp3BqhwMz87OauVoXLBmDqBUX6EYsANAqmqZtoBg7m6f52axYjWAy8o1npHOcyJnzSOb6HHsR+j3VJDz8/MaUOGm4iITbeU+nCE6cETWE//37HOAej1Rv6boogMV++53Cs91sC1YrcHQaWBEgBb608nJifb393OmO7/i/Mq6++Vr28EwXFz3EPvu7q7G43FtrT6ihrhEXkKZAYAOQ7/jHEOilFyXZE4P5xM4cB0OF/X8/DyzvZgRzj172RnaBfhizXb6DNiSfgAj2tvby7lbiPCkUbg7iRvOH65i6Q9zPcsBxqOHTXpSCXj8teT6+XsHMrZtkm3Bag1GxE1SdocADbKxx+NxXrkmpVRzQyTV3Cbp4gtM8iVfcI/m4cbhskkXQDUejzO44MYBbAARuhXX8xIuzuI8bcH1KkAFpiIpA6cL9oPBQJJycAEAkpS1KvroGpNUX0yUAUtyKJFLrgXDHA6HuV3678+OShHONpv0JmdZvj+CU0lbivub9KioWZV0LAfG1+OOXgfbgtUaDPcnsgWm2DA4RqOR9vb2suDuojkMCeEYV4pfYUALIGAAwigk5eufn5/XKmd6xjarGztzcWYoLdkVbiLuIOcgZtNPVsPx9vr9vm7cuKE7d+7UxHoG22w202AwqM1hdCaWUsoZ9biBBC7Q6W7fvq3RaJTrZzEfERbJeRQa5F5gps72+D/G/+uqHCoHDra5YF9y9eJn3+4A7cb/ZdWUnutoW7Bag8EyyN7mC4VeBXOpqiprUa4rMehhO6QFwGhgQwxeBy/a9lQEqV6u19tB7I7TZYjcwVjQc7ywH+2XKnOSjoFojivZ7XbzBG9cS1Ij0LWYXoSrORgMapn63CfM7fz8XCcnJzo5OcngCTD7itewPQ8kOCADLqXIpn8uRQDj55IQHwFpVTv0xc/j+luBfWs/NCOnCAEdgRqx1wvMoa8cHBzkSg3tdjtrPQwoonFkn0vKuUSuWcHaHLAWi4upKj6FhbwpjxgysJmO8vDDD+eBAhDB+Mg5Go1GNc1KUnYxXfBHLO90Orp586aGw2FeqYfscwCbCB734blNnu4xm83yuSSc8pyPj4/zOfTB3UieFffrTNXTFaTLYjl9W5W2EPe5LtUEWCWGxj3F1IqmlIbrbFuwWoOhHznj4NfcxePFYqHBYKCHHnpIo9EoV00gopVSypN0fX6d/+oCIh5185IzMBiP9lHXCWbk8wJ3d3fzsuwnJyeZOXnoHpdpZ2cn61DcN+wrZtP7eoGtVks3b97MwIw7eXh4WAMmz/LnPgB8yic7CyLKd3p6WltsFQ0RsR3A5vlEHSmK2tLlcsclxhTf04a/8p7r0P8SSPl14rGxzU2wLVitwRCKPePZy7IAGCklHR8fq9/v50UR0GIkZfHXaz7hfrmbgdsGcJEoGQcYQvTe3l7ObcJlAwxwWwEyBjP9QONCT1osFpnxuVaF7nV+fp6nteDaAhaUe3adyOtiAe6TyURVtZzKIykHDUhFgIG6i+pCPO4fEUHSHPjh4P8W/3hGTbpSZEa+rYmJ+f+v6ftTigI6wN1PmZnrZluwWoMBGqwM419Mr1OEK4JATW0oJh/v7OzkFZC73W6ujyUtExwl5bwlBj0aGCyE6yF+cw4g4wmh0nLdQn+P0E3CZUop115n7UImbHP/XimV4ADLDozjAAAgAElEQVQDjedwcnJS04nYD6h4OgdJoNLFgKfOu+tquNZMsRmPxzkiGOdCesJlU75SBB4PDJRcRT82bvf2ojWxLb+W79s0ViVtwWotBhDAMBgoVETwLyDsZT6fazKZ5M8cs7+/nwe6dHkhA9IWfIIyrhcsDZBBHJeW2g+gAbNisJP97RqZZ7d7PS4YG/3sdrvq9/uSlpO643qICORR4PY+k87B9QD1xWKRM9xhTmiAaGcEOHzlHM9mLw1+dwmjyC7p0vGeSoA1uYGRCTUxMmdVTX3w121S6NbelJG35KFrLyfss/sZpDElADYG6EjLREsieLhsuF9e25z2OYdyKJJyu5KyeA8b8rX4PMLIuTAYL1LHtQ4ODjQajXLksN/v5/Z9Sk1VVbWKB9KytA2gKS0Z0Gg0qqVIkCMV2QUAyLOgPUCdTHb67ffgrDKCU9wW3UB3y0qJoVETiwys5BbG40uMbJOAStqC1VrMmYgnS5KSgPlkYAYU0TYvoMdCCgjh0tINREh2NwLGxADwTGkv8+KDA7DwzHTcQ46D/QG4DHbcvTt37uTrE/1jkVLAAaGdY7yKqqQaIMHWAE6eHSVhEN4PDw91586d7Jb6tB93GwEl9CqpPjnZs/p9H/8ff+V91LActEqpB7QbdSkHvVValrusm5S2IG2L763FyGFi8jHalddNZyDgvribc3Z2ltkLg5zEStjJYDDIbEVSXs4KoZsvNdoPIMM6emhMgCSCP+4iCaq4Vl4Lylmclx0mUkhAALAYjUa1KCLVS0mBcBZH2oO/53lJy5Wq6R9gTTXVfr+fr+XF+a4S0h3U3Ur6k0cI2V4SxKNQH93LeG4ENdqLwnypb5tgW2a1BvNaSrhcLnRLy0U6+TICbvEXHxbD4PYywpznUS2uB0vA9USHIkJJmoAX6cOtrKoqV0yoqiqvxecamVSfxAzAEEX0THnyoAC9fr9fm4AtXQxEdCh3kZnczTGSauePRqPselJ1wet+8QPgzz9OUmZ7dMX8OA8ONLl10ZpE97ivKWM+MqeSS7hJgLUFqzWY16SCUXlhPY+2wSzQtwAmQAWA4PPR0ZGk5aRjRGRSCjwXand3V4PBoHZdvtzD4bD2Rfc5eZJ0eHiYgVNSdkmZHgQAuygO60G3gQ36NvLGYG2uUZG4yr2S8b6/v58XTeXZdrtd3b17V3fv3s0LQ/C8PXHUgxRSfTK4A1aMwvm9r3K3Su6cA1QJTFaxN65X0q88hWITbQtWa7DxeFxbqBPAIk/Ic4s80keek7TUJ1wDIRnyxo0bedD2+/2czR2nwpALxXaSNqn2AKgRucQ9TClpPB7nQUFUTlrmN9F/LwYoLd00WBfJroCyz0OUliDZbrfV7/e1v7+v0WhUS6z9wQ9+UEu5IEsf8KJ9PntqBFnugJkDidencsG8JIxLdSHc3TcsMp8IXrF9t3gex3r2eqlPm2RbsFqD+WB2kd3rjBN181WU0XNwfTz9gXNIkoS5+LLs0rJCqbuFgAnuoLuKPheRuXMpXVR4QABHc8I1lJYgTD0stCOACNeR7HkYFqABiB4fH+eFJqbTqcbjcc5OZ97kjRs3NBqNcrFC5kTCOlmRhkU6XET3KKC7yz69piSOx0RQtxJIlUDFQS26g6uig35d16k2GaikLVitxXDBEIkBI7ZVVVXLi/Ia6F5ojwUQJNUyyvkiAzZkfPv1qRxKnhFMxxMhPWViMBjUkjgBRcoN+8RogI5jfWD6IhNoVL5wRIyGAiy3b9/OqQfoS3wmMOHu4Ww20+3bt/N+XGDKzwBUMCjXn1yrctAoARgWI38OHFE0Lx1XigiWgCeyqtgH37dKL7uOtgWrNRjheBdnpeWXDeDgV9OTRyVl9wr3jXQGabmAKsf5PMCYWyTVp/l4nhcMCTZ0fHysTqejg4ODLHTv7e3lMjaAGwK2u7LML4RVeaUJaTnHDxfYgZP7A9xwhVnnj0GJJkd0cDqdZl0KsPJa7c6gvPxNtOh6RR2LY1aJ6qV0hghMV0UapWW6g38P4neI8zaRYW3Bag3GBGYGNYwJdyRqS55Z7cXt0KFgCfv7+1lzkpYD6+joSLdu3crVGphLR1/cdSPxFKEcV5XBeefOnVoWOGyLPntteRgkbij9prIEi6hS4obn4DlIs9kssykEfAIDaFNk07sud+fOnXweYAWI0TdAKgrmnjUfNSv/v5SsiR05gEV38KrcqdLnVTpa3LYptgWrNRjherK0GahewcATLl1DciHbp78AOgze/f39nOpwenqal1JHB/Ma6kzHQfcCTJ3Z+QCH5RC1I5Lm53pqg6dmPPLII9mFpJgeQM3qzzwT6le5m+ZZ/DwrtKnJZKKXX34561FejthLKo/H41qffMoNbCsCVXQPV1lJhF+la0VAbDqu1D7/m/vRzq67bcFqDQab8FIpnuwIGMCaENmZRxfX3Usp5bbQbnzBUJjN4eFhdp8Y8LTJQAQsYC1cG6BgG9u9f4AbYAT4cA6gQsIpNaUokwPgkFJA2oWk2lSbqlpWSuCeyUyPU2liSgZVLgBY169wEaXLAMJ9uQst3X8eFW3ESKC/b2JKUctzPYrgSGyjdN51ty1YrcEQyCn5wq8++Uhe+dOng8DEGETMqXPNiDrsi8VCk8kku1/oXETOiIzhVjlYeqQppZQ1NvrmAQHcRRfPiWQSieTPdSvAzWvKA05EKwEPRHGqnwIuTHT2VWt8Ko9Py/HETwAJkGbfqvl/rg25drSKzbi7GEV12onAF9uK7p0fVxLmo9C/SbYFqzUYOoq7PDAAxGhnWRzjc+08j4mBA2PygUZbCPAMEKpx4hJJS/3EBW7YEIPL+8rUHK4F0/PjABXWL3SXtdVq5Rpct2/froE31/dFRpmKRC4WbDCK6L40GGzQc9L4H/BXVVXtmfOcnMG4S15iTM5uoqYFswTUSxbnWXJeBKISq4upEZsIVNIWrNZiLOTpUT40IQaNuwj/f3vXFiPZVV3X7unuqu6eGXXbbuPxGGWM5CCZn0AQYBJFiEdCUBTyk8iRUJzIyChCIiEfwRZf+SMRiqIoCopFHuQFcQgKCIlAQoLywSs4xMFgOwwaHh78wDOenprume6eqZOPqnVq3d373Oqedrm7qu6WWlV177nnnHu7zqq119lnHw46lmEgJcuou8MBz1xXui5Pl69QVyKgEfg40HRpDsswzkpnL5lH3ms5ZDYUxdmGn8li2uFjx45l8KGbR0BXN433TLakwKT6lIrmfK+hEH5toAK8Xqd98kDl/0989SDC51kCqigOi8fZjhf0S/FXupB52qwBqxFYp9Op5LHiGjayIo1x0ml9Ag51GWVBOvVO94p1XblyJQdV0mW8dOlSDvhk1DkT57FfBL+FhQUAyOv36Mrp8hn+cat7Go9xwHGJDTOfAoNAVWVtyjI12wPBSZcasb/AYOMH3RiDdeguzDrAvU7F93oPETCoXqTH9P9FkNHZRl9/5Eoq4Cnz5XlvCmyl+K5JtwasRmAEAQ72q1evYmlpKUeH80uuYQi8jgMUQCXkgWxCc1XpRhTKNra3t3H8+PEK4F29ejVvSkE9i9lEyaqY512X6BA8VfNhvZyN1Ch9jc/iomWC37Fjx3DlyhWsrKxgc3Mz570ig6OLR4ZJF5HPgzFYBEjVrghSOgmgDElflR3pzKCa6k8RcEV6VOQ66mfP0vxxrUdB0Qewan+myRqwGoFxup7pVniM0/36y6iR4brOjl9S/0uqoKUZGIBBzqaUEi5evIiZmZlKGhmmTOZMnUbE8zoCG+tk/9g+3T62xUh7DvyZmRmcO3cui+4EJDIpYJDnS/UmMiBG8GvgKRkZ+6Bpb1Ro13gxdfF0xtDP/nl24sEDiHOqe1CJACgS2vV+ozZLDE9By/d3WqwBqxEYp+DVxSPr0f31gIEQ7Gek+F6zeGqUt/7aqnulbQGoLCTWma7jx4/j8uXL6HQ6ua8EGAA5hsrHX9H10plNgifvm+yQyQI7nU7u6/b2NpaWljLgUJtSsCGw8T3ZIgFmY2MjC/HAzkR3ZLOqR9WFLHjg0eP6WV8VEBVQ/HUl3cu7fCr206KZv6hP02INWI3AOMB100+gOpD45WQslGo1FNf9oOWgZIClzjhyAHBGjgNfsxLophLUlhitPjc3l8VwgpLu/0fWw/d+HR3r5QQAXUsCGLUls15GB+pcqkFxowcAWbdj9s8rV67koFfVh+j+KegryHkGpZMWus6SzzACAz9L58/7Y3V1RGCk/dJzvs6ofEnUn0RrwGoExkFJZkLdiXmtOJi4NIYuooq1s7OzOaCToMM1d5p5gANX1/up60YWprN37XY7ZzDgrjnMiaUAp7NdPgQAGDAatsuBpKI4+0Vmp+4enxHdRAWXzc1NrK2tZbePwbC6/yBnXAnUnoWp+wcMZgL98cj0Gj8LVwdwJaAqtRHN+ql59la6dhqsAasRmcbc6KBS5qRhAgQLFad1uQldLt28k4OPTEu/1DqICXDKPGZmZrC0tIRLly7llMjr6+vZFVSA0RQ3KaVKwKtqXtpfdU2ZHkaBlWEI1L8uXLiATqeTU+ToLs2sW3dQVjePLAkYzOxFgBQFhXoxm8f4OXLDIjE+uk6tBET+tc4tHVZm0q0BqxGYzvpx0HI5Cl29+fn5yhZaAPKOwdxSnUxDt8PSDALUmXhOmUtKg0BFFc3pVuoMG7UjZXfUrhQ8gUGuqJmZ3uYTZCoKaLxONSXm4NKQiW63m7eRBwYDstPpVAJH2R+2TeMzplivupeagpM/z8GuOmGkMXn2pPpgSfyOGJfXy/Q+vNW5fA2zauwFMQ0S3NraylHgKlozDgpAdoVoZBccWHQLGaKgjIZxUqrZkNnoANYQBhXOOdgZu7WwsJCZE++D6Vm4HEgzJtCdAwZuIZfWEJwUeLrdLi5evJiT66lrubW1hcXFRWxsbOS87RTUWZZuKvuR0mAROAFDg151ttQL7WoKNnWMRfUjPbYXU+AqsTrfZulcw6x2aWb2XgDvBJAAfAPAbwBYBPAPAE4B+C6AX0kpPd8v/wCAewFcA/CelNJn99P+YTWdwSPY8FeQ7IBfeJ+AT0FuaWkJFy9e3BEfpCBkZjnVsQ9D4J+PsObg1uh3Ctp0K1dWVnL4A0GJ12oWBzImoMdaCGjqqmo0OsGJ58mKCF66QJtxYKpFabQ7wV/zWBF8VQPjsyuxKtXmWNYL4XzV50qLAIzHo/QwkWDuz2t7/n1UdhrsusHKzE4CeA+AO1NKl83sIQB3A7gTwOdTSh8ws/sB3A/gfWZ2Z//8KwDcCuDfzOzHU0rXCk2MrTEGiu4aXR4VpsmK+GXWmTqWAQY5yoFBEjsAO8CHzIMDhIuMPWgyfIIsQ9fmkc2tr6/n9X4EAzIoMjvO1PE+CX5kaJqOhdH8jLBXsCW745/mp9IZTaCaGI9g6bMvREGeqmGV3DFd++fN1wXsBJJhs3fRtXpdBI6+v74+PT8Ntl83cBbAgplto8eofgjgAQBv6J//CIAvAHgfgLcD+FhKaRPAGTM7DeA1AL60zz4cOltbW8Py8nIOF9CQBE1zbFbd4hwYuIpzc3M4f/58ZTE0wxUIagxTULeo2+1WNp7QLzSv89tgMX2LZ4EMal1eXq5ElDPdMYGCMVNe9FV9ijsoMzSBwjkwSBDIP4Yj8Pzly5czS2LmBQUzFdv1R0FBkNeXpvx5zs/4KdtS87FdWofWqXX546Vyu3U1pwmogH2AVUrprJl9EMD3AVwG8LmU0ufM7CUppaf6ZZ4ys5v7l5wE8GWp4sn+sR1mZvcBuO96+3bQxgXBZBrHjh3DkSNH0Ol0clS5bvSQUqpoWGQcBBEyE4ryGhCpg5ruJ10nzUqqLhEBkwBDsGTKGY2X6na7OH/+PG688cYMNt1uL1MnWRLdWRqZIvvGsAlN4aJskMBFIOZApeun96n55pVp6WdlTQpepXV+atFi7FJ5ZTueSQ1zz0ozfqU2IrF+N+1Mku3HDVxBjy3dDuACgH80s3fUXRIcC590SulBAA/22xm7/wZdp/n5+QxCCwsLmQ1p8CXjlMguut0ujh49mhPP6UDUOCyyM00fQ9ak6Uh8Fk7NckAXUZmQ/soTLCiKE5yoGbFfOhtH4OISHM70KYsio2T9ZEvsA5+FZqnQNjUQVfU59sczKv2/0BQAvOgeuWH+emVVwwDQu3B17p8HQK1DZyxLbU2y7ccNfDOAMymlHwGAmX0CwOsBPGNmJ/qs6gSAZ/vlnwTwUrn+NvTcxokzCuh0j55//vnstuhW6CpWM62MZg1lWTIkZR0EE53V0yBNDkBqRmQomiCPy2YAVOKwaJ6xkeWRKZEhqfhN8wufyZx473T5VJNSbYq6F10/BUkFqsjto6lL64Gobtrfgx8tYjd70bh8mQgMPWDRVFObRqACgP0s2/4+gNeZ2aL1ntybADwG4FMA7umXuQfAJ/vvPwXgbjNrmdntAO4A8NV9tH9ojQNN3RzubccFy0zbyy3P+cVlmhOvY2xvb+d4J13jR3eNxzj4dRt1jXdSwV11HtajA9XntWIEOcV2TYhHdxJAJZ0ytS4u1p6dnUWn08GlS5fyDCAT+PF50NXkvegaQrq0GuDqXT/VqPw5WgmEfDllQZGOVAdmZoNF6cPAj+dKoRXR9dPkAgL706y+YmYfB/DfAK4C+Dp6rttRAA+Z2b3oAdov98t/sz9j+K1++XenCZwJBAbsRffh4+waMMgPzgXCTM2is27b29tot9t5Zo9lGXFOoGq1WjuygWqKYZ1lZJwVAY+vnN1LfWGfTIllrl27lgNM2X8CKsGLsVEEYd3eXt1JzfSpYMbzBCHdDELd2ChancK4zrb6IM26oE++j7IhADvzTyn4qNDuxXmaF841oLSO8UUMqsS8psHssN/wOGpW73rXuwAMYozo7jF75+zsbI6fIiAROGjcyp1MSLOCMiKe7mO3282zhQQR/nH9n0bKe53r6tWredaSg0C3A+MSHIItgVVnDzVZHoCszfmYp/X19czG6OJp/JW6izoryPQ5yrDU1WW/tay3iDXpOQKJgpZ3u4bpU1p3BFj+2kin8oBZEt31OzZullLasx/bRLCPwDgwNS/VkSNHsL6+niPOGfDJwEeyBZ1Fu3LlCpaXlysaFgcq4698NDe1JTIighGByAvOCi5sR68lO6RupW6p1kvA8uv5NJJdd05WtqWTAeyPrv8j69PJAvZfXzXoMwIA/k/qzIOFDxYtaUZ70ZFKQBoRB58Pyx877GTjhbQGrEZguosxWY9OuXMAa1gBgMwmKLLPzs7i3LlzWFpawvz8PBYWFtDpdCpMhoOYA5979REglbERII4cOZIXC3O2jsuC6KJq6hg1jW3iQFaWw/WNek8aJKp6kormqkvxHDAQ3RWkNMBTXUINBq0b+KWo8uj9bhLlAYM1mxGDqnPtfFt6zLuIvg/TBFRAA1YjMdVyCBYMVaBQzX33uLeepjemNkS3an19HWaGxcVFLC4uVhYWsx0AFWGex3RxM/UphjjoICAA8T1d18uXL6PValVAhnXpRhS607IyM86AakCquoc+El3dRn2vEwKRaE4WxufP5xe91/9TiQ2VtCJfvwKUn3kstVPSrUrgVFdmmmYFG7Aakflpc3W5KECbDXaG2drawrFjx3LGBg5WakcXLlzIG0Nw4TLdGi6hIRiqFgYMgEizMBC01Ag2ukyGbEe1NYIHtTA/WwcMMqB6fUldPV6r16vrp+CozMmHKugyJFoEDnwfDXgvgpfq0s8Ry/Lt0lTA53s/CeD7p9eW7mua2FUDViMwCrz8YqrWtLi4mCPIL1y4kKPbGZrA2TsdmBRRqVVpzA0BjSyFg2BjYyMDDGcWVVDX5TEAcniBn9kioyIjpHvIehmSwbo15oqBoTrzRy3KA5SGJSg46QyfPg9+9msLNbzAa0xef/IgEM3IsSyPDwMYfdVn6cHJ61DaVqSxafk67WySrQGrERgHkgZs6rIRnb3pdDo4fvx4ZfNPfrGpx9CF3NrawvPPP4+lpaUMahpvBCAzJsYuLS4uZkbl66O7p5lF1RVkyALr16DRjY2NnHFB+02AYjgCGSZDFBiVDgz2BlSxXdvxcVQeQJXJmVV3n+Gxkv7kdR99LelSkQbl6/DBm2xXzYNRnasa9dUzwmmxBqxGYMz6STaiX1rdKp1fNq7Ju3btWmZXDFOgmM6ZRY3R8qAV6RoECL/URlkGAYntMWKe0eqsi/oat/Ii6HLAMKSB5whMymz8cZ3h0+BVZUu68FuZFk3dK7UIuKJXX76kGUVAos+xDmz88Tp3T49r/ZE1bmBj+zImjtMt4TVtC90ldfEYf9XtDtK20F3kQmamNWbeduZpJwCSnVALUwDTHZ4VZBgi4Qc/mZkOFM4gsj2yGd20wYOVB0cyroWFBVy4cCEzJq9PqaAPVF0pjU4vDXofBOrdtyiuyQNXHYvyIBKBkR4vaWh1TLDE/EqziZNuDViNwJaXl3H+/PkcwqADRmOwOJi4FTw3bGi1WnmTBLqHLM8dkbnmcHl5OUedp5TyLB/BhAxN3SwFA9VEWq1W1qDoIgLIAj5QZUyc5VRXUOOpNKxA1wVevXo1J9nz+pS6fJ7R0PXzIFQ3e+YZVAngSlYCD8+m9Byzaniw833U9/xhi3SoyP3zfZsGa8BqBLa6uopnnnmmoquQTWmQJoDMgLrdXooWLr0BUAEEjVtSsZabPCiYEBw0zoqxXpp4j/3il39tbQ1ANTMCBxGBT4VzYJBrChjkqPL50/0CZAKwPp8oNMHHTUWurheuI5HcA0MEMDRlVN4iIIlcRLrOUXnfT4KtByrWq6En3JOxrt5JtgasRmCrq6sVVkE2wC8YFzQvLCzkUAVN39tut/NiXi6pabfbOaCTTAtAnvVTMOCXnCxLAzcZwkD3TAcb9w4EBiI26/Bpl3VWj4PNzHL7DHzlhAJZEAFYGZLXqDxQsd8eFNSd2i1zGiZiezDwnz2TK7mIu3HpfPt1DDAKZJ02a8BqBMZtsTh4VbC+dOlSBg9N5cLYJ2o6BC+6cAQdztxx1u/atd6GCtSk/K80wYUR9BTs1e0guAGouIA6k0lGuLW1lTcb1ZlNApduVEHw1ah0BR4f4hEBEp8TUGVTqvmpO1hiVHq9B5IIqDxjmp+fzwCsjMeztrp2hulkHqi8ee1t2hhWA1YjsMXFRdxwww343ve+V8nFrtlDfToVshgAWSDnAOHgZEyVruMDUIke5wCjzkRQAAbaEbMyEODottA064K+so+aX4rt6npGBR8eV7fQZ01Qt9QDFScoInDRz7QSM/GsRctqPb4cn2m73cbm5mbRjSy5Z/q5NLNXx6L8PUwbQKk1YDUCW1hYwIkTJ3DmzJkKu9CZPaY0Bqrr35TVEChU7OYsIBkSjzGjA0GE9fkMBPzy040jEHrQotunjEddVXU7CSoa5KkbSXjx3Avl+kfTMuw3UB2ww9ypkh7FV6/Z6XlfBycElIn6vnlX0MdcaZtqdS5s5BruZYJgkqwBqxFYu93GzTffnJmGggXZkbIXAHnQUMBWYXtubm5H6EGr1crZRRlZTpDY2NjI2hDr1hk3alBkXxoxr8CloQIEDmZSiIBHww+ihcueQSlAsV8KcCXQ8Sym5I5FbCUCbr6PGFUEXpxh9W1rucgFpJWYYF2btCjodFqsAasRWKvVwsrKSgYOfsG4uFgX/uovLUGHuhMwyFrAa/QXWre20qhvP4MEoMLquLhYF1Zr5DuBg7N+ygg0A6mClS7l8eERQDUrgn8FBou2tbyPleLryZMncfbs2fx8SizKA0fdAI8AJAI99i26vsSKhjEltToX05eZNmvAagQ2OzuL+fn5nMVTUwGT/Wj4AlmOfnH115tMSNO9qDvW7XbR6XQwPz+fk+1R7yITaLVaOdZJQynIojTdMQHJhwXQPfVsi/3UJT0+fgpABaD0usg1jHQbvj799NOV5x2BgteKtJy3iBn5uvneH/d9Kwn12k5Uf+Tu6qsX/KdRt2rAagTGVMW33HILzp07lwc9XTPVdDiQCB5qBAwyHzIcZSx0K/kl1gwEFPVZP9cBKkhqdk4FJoYsMC4KqMZRafsRW/KsSl/1Pj1QAfWxUgR8fo60o2HsJbI6EIjqiKLXvftWV6+GQBCcdUbT1x0xx+j4JFsDViMwJrc7ceIEHnnkkR3nvZunv/wppZzbiiK8zhTqch0CkAZa8kuvM45sS7UyoBq8CFST2lE010ht6lUsxz74TAkctH7Wj+bb0wHOvvt4pshYvgRSLFNiR5F+VSrrTd3UqF/aH+2jvvK96nN6nd5D9Dx2C8STYg1YjcDMekGeq6urlcXDADJDApBdQx3cup4QqEY463XqTgLIn3WjUOpZACqzf6wvpUEuKB0QynwUsDRpHtAbLGRq6topmLFebYP35ZmXBywPBHvVjrR8nVsVifMl90vNx3ZFIr0HU9bpy0X3GQntWn6agApowGokRr2q1Wqh3W5jbW2tsqAZGLhCfnFuBGoKMDqwNVOnfpm9e0kg5HEyNmpaBBUOCg0q5SuBStOyqOvHPkUApK+89xIA0CJBWcGhxH4iF8rXU2JiXtDnNZ7VDHPJ2D/PqCIgrXMX6+5tGq0BqxGYZkRYWVnB2tpaBil154CqjuN1EE3rouV1xo3nVQznQODSGZr2wTMs1YwUdDTPlkaSqz6l9+FBSFmShiREYFQ3kD2AeBerziXyrKSubR5TgORzK+lPuwEy35ae90BZqlPZW6kvk2wNWI3AyF6WlpZw8uRJnD59On/RCCoc/H7gKQDpImi6gXwPoAI0um+gDzz02paK+xFT8iwNGLAh7/JFYKWfea3qU970mrpBqs9X3cWovpL7psC32zxRJV3Kg2hUbje5tiKX17evjHJYm5NqDViNwBjsubi4iFtuuSUf18GuWcJN5ngAAA6cSURBVBQIJB60gMGuKUDVhYzcLT9LRmDTQTU3N1dJjQygolPxvfZL2Zx3eVTn8poS++SBzJejDWMJHrSiARuxJG9eS6rTuCLwLGlJUXslXS36rKDk24vAcTeTEJNkDViNwDQM4ejRo1n49sKoRpbTlM34L7oCF7+4DF3gMdav6/ZU6L527VplRxwV87WddruNdruNTqeDixcvFlmUZ1g0ZYZ0c9TqmEEd4Kjb58/p9b4OdeW8O+g1LL0mcks92HoA1ev1f1jqK6/RGLphkerTxKhoDViNwKgHccAzDsrHUalgHA3qUgQ3UI1VinYgZpt+QwXO7mnaFm1L3SNdMqOskH1XU3YQuXwRgHimRCtpVr6fpXp9XSUtTPut/xMFtmHApHVEzLLO/HMYBpLRvU2TNWA1AtMFyO12G61WK2/+SaZDNmQ2yGVF5sNzPO+ZSzSbFgGDZz18Zf8ILHNzczkolPoW8637GUAPNgqwPrhT7yEy1uUZI02BoxTK4OvS4xF788d8MGbJRSsdi1w3/ez751mdr7PUhzp3dFqsAasRGcFnbm4Oq6ureO655wAM3C4fUAlU44xUs9IwB42L4qvqTayHbZS+2Mp8GIOl/dY+qDYSzeZFIMX7KM2y+f7649EAjVhQBAwenNUUpCMGVwJAX3dU3gNRqe6Sm+rvcZiIPm2aVXk6pLHrts3NTWxtbeUdlFdXV3doJhpbpfqOHmc5YDBwFODUteR1urDYxz/xleCkmzooCPk8VKzfg6q/j4jFse+Li4s7npPX6lhWX7UOPUdG6tvTlC9RvVE7HvB2ywy1bAQyvs1SGWVdnrVqO9EEQMOsGtuXzc7OYn19PQPL8ePHMT8/X9kkgUYAUuYC7BTflRHwj/qSF+R1OY5nPFHogaaniRgA36spwLHeKFaI9TGvvFoESH6WTuvx5oGH/SgBXqltz4hUR2Q5Zbil/utz0LpVG/TgFD0Dmk6O6P1q2WkCq4ZZjcCYhZMMZ2FhobJZqLISH8EO7IwEV7ajIQ/KgPwSGZ5XUIpCD9iGbsag9XmXRZPsRa4b39cBjC/rGRsH50033VS5Vuv1z1LL+M91y1P0nvXaaIY2cjl93/SZ+bp9/REI+edSArPdAPKkWQNWIzAFBcY7LS0tAagCkf/l9HqQxjDx17/OPfNgpC6mglkp9MCzLf1MoFRQjURxmgce727pe2UiOvjOnz8fsjtfD8+V2It/rp79afm9Ctlap7av5nUw3rN/Rr7O0rWlspNuDViNwLrdbs5VPjMzg/n5eSwtLVW+9OpG6WBSbckzHAUvvZb1EVCUeahpeS2jmpMf6Kp/eTYQBTzWPRO9zwgcPFBEbOa1r31tLuvdqUjTicBg2KCvAynfVh2jLLnTEcPVekvur9YzjdZoViMw7lDML+bc3FwGKwA7XCgPAn4Q8DhNBynri457d0TrYhueDSj4la4dZgpCEVBEbEnf17Gbhx9+uHIPURseBKO6/Kyd75++Ru5a5IL6tiPQikDOX+sBvKTDTRtwNWA1QmPs0uzsbM50EOWQAsrT+DooGI8UMQh/beTS1AGPukz85fd9qrMSW9K6S/mf9BplUxFQ+EkAltGg2uhefT0e7DzDiUCndK/D7mnYc/LXR4Gpev2wNibVGjdwBGZmmV0xGJRhDEBVT+LnyCX0gKbXRW6eltHPvqwfsHQFNdxBy5VYkteaogEYASfLR+xRgcf3neV9oCiPDdOWIgD215Tu1fdd+xMx2DodKgJSD05REK6vV6+bBmuY1Qis0+nkjJrMZw4g5zmPGI1+QaNZIA5cvQbYOeijur1FQMm6aP7XPAICf13JHStdO0xLitw8fe+DVets2KD3z89rTxHY8DVKcVz6rPXp9SVA9u9936fJFWzAagTGxcKXL19Gt9vNO8gw20EksPqBGgGIBygtq2CnX3Bfn7I3tRI4+baiPpSYkwdVfz5ypTz7iZbDRH2N2q6rt8Scon5H7K/k4unSocjNK11buj/fpnenG7BqbF+ms3UELAB57z8fV8T3nm2oixP9wta5FupGRa6ht4g91Q1ovvrB5dMyD3PNSm0p26wDcr23yA2N+lFiJiUdyoN/nYuooSh1bfGcMkI/+1kC+hJjnnQb6vCa2V+Y2bNm9qgcu8HM/tXMvt1/XZFzD5jZaTN7wsx+To7/pJl9o3/uj63uPz7mxhlA7ve3sbGBlFLe7IFfSK950EquRGn6n39+yY7GRe3mCz7MhRnGSMysOIvor9cBWdc/72LVMULPnHYLkqXrSu6fHmf66cgVLrEv/fOMyoNiycWPPk+67Uad+ysAb3XH7gfw+ZTSHQA+3/8MM7sTwN0AXtG/5k/NjCkEPgTgPgB39P98nRNjly5dwtraGtbX17G2tpb362PiOzIeDdT07MB/QT1T0mU3CkoanxVFSUcuIFANVvTt+jKRDlViScoMI7fMr+XzddX11YOcBxqNXK9jKXVts54SaCnLi1LL+PuNQE2ZW7QcKnqu0edJt6FuYErpP83slDv8dgBv6L//CIAvAHhf//jHUkqbAM6Y2WkArzGz7wI4nlL6EgCY2V8D+CUAn9n3HRxCe/zxx7G1tYWtrS2sr69nkZ1rA4exCf+rq6EEw6LG9b3+YisYlVwdYKdQvZt0Jt5li5iK6i2Ra+fNX8c29XoPQLOzszlPvG/f1+3vR591dG+lHxAPnP4Z81yU+303ffT/o2H3Msl2vZrVS1JKTwFASukpM7u5f/wkgC9LuSf7x7b77/3x0MzsPvRY2FjaF7/4xUo2A2VDm5ubmfnQbQJ2fqHrXC6eB8oBh1FZz9Ki+iMmpscj84zLH4/qZd3KfqI1dNH1fvaM1zGtc8SiomcSTUJ4Zlm63tdVegb+XOlHxssC2q5nj3Wu4STbCy2wR//RVHM8tJTSgwAeBAAzG7v/RkqDRcTcV08jwyN2RDBT4+CJ3BzfXulcNHijqXKtS8v6uv1A9P3wbfM+ouO+3hLYRuZdLg+GJfD2wODvs/QMvJUAyj/POgD35fVHJAIsz/amza43ouwZMzsBAP3XZ/vHnwTwUil3G4Af9o/fFhyfSCPIqLtSGjh8jRhFiSH5geF/jbWdaCmPP+8HvFodS/P1RdfvhiHqfUcLfCPgrGMUpX7wnK9Xr6sLio3a8M8g+p9GTCgCQrPhO+5EoDwtdr1g9SkA9/Tf3wPgk3L8bjNrmdnt6AnpX+27jB0ze531nvavyTUTbfqFpZisaYtZBtibxqKvJTAouVTRL/8wxhaxg2gwlqzEWiJmp8eiCPboHv2PQtTX6P6GucYll8tneNC+a/3+OMsrKPofnTrXsfSjNA22m9CFjwL4EoCXm9mTZnYvgA8AeIuZfRvAW/qfkVL6JoCHAHwLwL8AeHdKiVNevwngwwBOA/gOJlRcB1DJr14anHW/ol67or7igSN6LbGPyN0quY36PnIDd8tqSgOrNAAjUPXPScFJnxdfI3AqMTR9FtH/Inq+UfvRdf4aPRf9D9kvv8ohAufSj9qkmx32G7Yx1KxOnTqFlAZ6FV+Zv4qzg9HKfT94SmAxjA2xrHcDIzDR8zMzMztm1SLm5wfdsHYXFhbydvUso6Cp962sKsq66fvOY/o8ox+J6BnQbr31Vpw9e3bH8RJTK/VHr/FlFSQj1lV61tFnYKA9RtupHXZLKe2ZEo4DWHUAPHHQ/diH3QTguYPuxD6s6f/B2iT2/8dSSqt7rWgclts8kVJ69UF34nrNzL7W9P/grOn/wdoL2f/pyS/RWGONjbU1YNVYY42NhY0DWD140B3YpzX9P1hr+n+w9oL1/9AL7I011lhjwHgwq8Yaa6yxBqwaa6yx8bBDC1Zm9lbrJfA7bWb3H3R/IjOzl5rZf5jZY2b2TTP7rf7xPScnPEgzsyNm9nUz+3T/89j038yWzezjZvZ4//9w15j1/739786jZvZRM2sf5v7bQSbj9GuSDsMfgCPoLcl5GYB5AI8AuPOg+xX08wSAV/XfHwPwfwDuBPAHAO7vH78fwO/339/Zv5cWgNv793jkENzH7wD4ewCf7n8em/6jl0/tnf338wCWx6X/6KVJOgNgof/5IQC/fpj7D+BnALwKwKNybM/9BfBVAHehl5HlMwB+fmjbB/lFq3kgdwH4rHx+AMADB92vXfT7k+itlXwCwIn+sRPoBbbuuA8AnwVw1wH3+Tb0sr2+UcBqLPoP4Hh/sJs7Pi79PwngBwBuQC9A+9MAfvaw9x/AKQdWe+pvv8zjcvxXAfzZsHYPqxvIfyKtNlnfYTAzOwXglQC+ApecEIAmJzxs9/VHAH4XgCadGpf+vwzAjwD8Zd+N/bCZLWFM+p9SOgvggwC+D+ApAGsppc9hTPovttf+nsQeknHSDitY7SlZ30GbmR0F8E8AfjuldLGuaHDswO7LzH4BwLMppYd3e0lw7CD/L7PouSQfSim9EsA6+vsBFOxQ9b+v7bwdPRfpVgBLZvaOukuCY4d2XKDc3+u6j8MKVqUkfofOzGwOPaD6u5TSJ/qH95qc8KDspwD8ovVy5H8MwBvN7G8xPv1/EsCTKaWv9D9/HD3wGpf+vxnAmZTSj1JK2wA+AeD1GJ/+016UZJyHFaz+C8AdZna7mc2jt2POpw64TzusP4Px5wAeSyn9oZzaU3LCF6u/3lJKD6SUbkspnULvGf97SukdGJ/+Pw3gB2b28v6hN6GXS20s+o+e+/c6M1vsf5feBOAxjE//aS9OMs6DEhd3IeK9Db3Zte8AeP9B96fQx59Gj77+L4D/6f+9DcCN6InW3+6/3iDXvL9/T09gFzMgL+K9vAEDgX1s+g/gJwB8rf8/+GcAK2PW/98D8DiARwH8DXozZ4e2/wA+ip6+xk1g7r2e/gJ4df+evwPgT+AmSaK/ZrlNY401NhZ2WN3AxhprrLGKNWDVWGONjYU1YNVYY42NhTVg1VhjjY2FNWDVWGONjYU1YNVYY42NhTVg1VhjjY2F/T+N2kc2cywSqQAAAABJRU5ErkJggg==\n", + "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "## Note that if you do *not* turn off the 'interactive' visualization by clicking the 'power' button\n", + "# in the figure above, the right breast will replace the left rather than being shown in a separate image\n", + "# below. \n", + "imshow(mammo_right)" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [], + "source": [ + "## The right breast has no abnormalities, choose some coordinates that draw a box around a similar area\n", + "# of the breast tissue as you chose with the left:\n", + "\n", + "normal_x = [440,500]\n", + "normal_y = [300,360]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Now plot the intensity values of the two types of tissue:" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 360x360 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(5,5))\n", + "plt.hist(mammo_left[tumor_y[0]:tumor_y[1],tumor_x[0]:tumor_x[1]].ravel(), bins = 256,color='red')\n", + "plt.hist(mammo_right[normal_y[0]:normal_y[1],normal_x[0]:normal_x[1]].ravel(),bins =256,color='blue')\n", + "plt.legend(['Tumor','Normal Tissue'])\n", + "plt.xlabel('intensity')\n", + "plt.ylabel('number of pixels')\n", + "plt.show()" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.7.6" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +}