mirror of
https://github.com/TheAlgorithms/Python.git
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821 lines
352 KiB
Plaintext
821 lines
352 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "code",
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"execution_count": 2,
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"id": "c9531bac",
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/html": [
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"<style>.container{width:100%}</style>\n"
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],
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"text/plain": [
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"<IPython.core.display.HTML object>"
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]
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},
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"metadata": {},
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"output_type": "display_data"
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}
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],
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"source": [
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"%%HTML\n",
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"<style>.container{width:100%}</style>"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 30,
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"id": "25138dfd",
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"metadata": {},
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"outputs": [],
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"source": [
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"import matplotlib.pyplot as plt\n",
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"import networkx as nx"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 52,
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"id": "1a17a18b",
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"metadata": {
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"scrolled": false
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},
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"outputs": [
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{
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"data": {
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"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
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"data": {
|
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"image/png": 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",
|
|
"text/plain": [
|
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"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
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"data": {
|
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"image/png": 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",
|
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"text/plain": [
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"<Figure size 640x480 with 1 Axes>"
|
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]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
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"data": {
|
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"image/png": 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",
|
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"text/plain": [
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"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
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"data": {
|
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"image/png": 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+ytwsCEoF7h1YCdseo2D2wntQ3I1HdsQulGQkw2nsKkgkFa+ln5xZgHyFkpen9ezUqVP47bffsH//fkilRjXBhYio1jP4M2BSZj4qHeQgqCEoi1G/zxuw7TEKAGDewhMSqRz3f/sGRUkXYdHSq+LDASRm5vNytR4JgoB58+bB29sbQ4cOFbscIiJ6gsF/TCvWYqlbqcXDAYEWrTqXed2iTdeHbdxN0Ek/VH2HDx/G2bNnsWzZMo1Xa4iISBwGHwhM5ZWXaOrYqvwNjyZQSLRoQ4t+qHrUajU+/fRT9OnTBwEBAWKXQ0RE5TD4s2BLeytU9nnS0t0XAFB483yZ1wv/PgcAMGvirvF4yb/9kH78/PPPuHjxIq8OEBEZMIMfQ2BlJoeznSWSNAwstGjVGRYu3fAgcjcEQQ2zpm1RfCce2ZG7YdHGG+bNNc8gcLa35IBCPVEqlfjss88wYMAA9OzZU+xyiIioAkZxFvR3d8T26CSNUw8dhs5CduRu5F08huzI3ZDVs4O191DU7/m65sbVKjgUp6GwsBAWFhY6rpy2b9+OGzduYPfu3WKXQkREGtSKlQqfVeq3/wdbFOLDDz/ERx99BEdHR731VZcoFAq4u7vD29sbe/bsEbscIqI6pyrnb4MfQwAArk7W6O3iAJlUt/efZVIJers44OrZUIwZMwZBQUFwdnbG+++/j2vXrum0r7ro22+/RUpKChYvXix2KUREVAmjCAQAsHy4B+Q6DgRyqQTLh3ugTZs2+PLLL5GSkoL58+fj0KFDaNeuHQYPHozQ0FBocRGFnlBQUIClS5di3LhxaNeundjlEBFRJYwmEDS3s8QiHT9vYPGQDmUepWtnZ4e5c+ciMTER27ZtQ1JSEvr27YuuXbti165dKCkp0Wn/tdmGDRuQmZmJhQsXil0KERFpwWgCAQCM8XbG9P5uOmlrRn93jPZ2LnebmZkZ3nzzTVy6dAlHjx6Fvb09xo4di9atWyMoKAjZ2dk6qaG2ys7OxqpVq/Duu++iVasK1oggIiKDYlSBAAAm+bti5QgPmMmlVR5TIJNKYCaXYtUID3zk71Lp/hKJBC+++CKOHz+Oixcv4oUXXsDcuXPRvHlzBAYGIikpqbpvo1Zbt24dCgoK8Omnn4pdChERacnoAgHw8ErByal94NvaHgAqDQaPtvu2tsfJqX0qvDKgiaenJ7777jskJiZi0qRJ2LZtG9q0aYMxY8YgJiam6m+ilsrIyEBwcDA++ugjNGnSROxyiIhIS0Yx7VCT+LRc7IxORuiNdCRnFpR5EJIEDxcd8ndzxLjuznBxtNZZv3l5edi2bRvWrVuHW7duwc/PD9OmTcPgwYPr9JP8ZsyYgU2bNuHWrVtwcHAQuxwiojqtKudvow8Ej8tXKJGYmY9ipRqmcila2lvpfQVClUqFAwcOIDg4GGfOnIGbmxumTp2KCRMmwNLSsvIGapHU1FS0adMGM2fOxKJFi8Quh4iozquzgUBsUVFRCA4Oxv79+2FnZ1e60JGTk5PYpdWIjz76CLt378atW7dga8tHSRMRia3WLUxkLHx9fbF3717Ex8fjtddeQ3BwMFq0aIH33nsPV69eFbs8vbp16xb+85//YNasWQwDRERGiIFADx5f6GjBggU4fPgw2rdvj0GDBuHUqVO1cqGjRYsWwcHBAZMmTRK7FCIiqgYGAj2ys7PDnDlzcOvWLXz33XdISUnBCy+8gC5dumDnzp21ZqGjq1evYvv27Zg3bx6srPgYaSIiY8RAUAPMzMzwxhtv4OLFizh27BgaNmyIcePGoXXr1lizZo3RL3Q0f/58NGvWDO+9957YpRARUTUxENQgiUSC/v3749ixY7h06RICAgIwb948NGvWDFOnTkViYqLYJVbZn3/+iZ9//hkLFiyAmZmZ2OUQEVE1cZaByFJTU7FhwwZs2rQJOTk5GDlyJKZNmwZvb2+xS9PKoEGDkJCQgLi4OMjl+p3iSUREVcNZBkakSZMmWL58OVJSUrB+/XrExMSgW7du8PPzwy+//AK1Wi12iRWKjIzEr7/+isWLFzMMEBEZOQYCA2FlZYVJkybhxo0b2Lt3L1QqFYYNG4a2bdvi66+/RkFBgdglliEIAubNm4eOHTti1KhRYpdDRETPiIHAwMhkMowYMQKRkZGIioqCp6cnJk2aBGdnZ8yfPx9paWlilwgAOHnyJMLCwrBkyZI6vVQzEVFtwTEERuDmzZtYv349tm7dCqVSiXHjxiEwMBDt27fXW5+aloEWBAE+Pj6QyWSIioqCRFK1p04SEVHN4NLFtdT9+/exefNmfPHFF7hz5w4GDBiAadOmoW/fvjo5KZc+KOp6OpKzynlQlJ0l/N0d0Tg/AR+8Pgy//fYb+vbt+8z9EhGRfjAQ1HLFxcXYvXs3goODERsbCy8vL0ybNg2jR4+GiYlJldtLySrA3P2xiEjIgEwqgUpd8Y/Eo+0W2Yk4vvQtNLerWw9wIiIyJpxlUMuZmpqWLnR0/PhxODk5Yfz48WjVqhVWr16NBw8eaN1WSEwyAtaFIepmJgBoDAOPb1fUb4mAdWEIiUmu9vsgIiLDwUBgxCQSCfr164ejR48iNjYW/fv3x2effYbmzZvjk08+qXShow2h8Zi9LxYKpbrSIPAktQAolGrM3heLDaHxz/AuiIjIEDAQ1BLPPfcctm7disTERHz88cf44Ycf0KZNG4wePRp//PHHU/uHxCQj6PgNnfQddPwGfuSVAiIio8ZAUMs0btwYy5YtQ0pKCr744gucP38ePj4+6N27Nw4cOACVSoWUrAIsOBin037nH4xDSpZhrZVARETa46DCWk6lUuHgwYMICgpCVFQUXFxc0HTsCqSUWEBVwSKIakUBsqNCUJx2C8Vpf0NdmAPbnq+hfu+xFfYjk0rg29oe29/x0dM7ISKiquKgQiolk8kwfPhwREZG4syZM3D37oNERcVhAADUhbnI/esYBFUJLN26a9WPSi0gIiEDCem5OqqciIhqEhegr0O6d++OrunWuHo2ESoN14Vkto5o/kkIJBIJVAXZyLt4XKv2ZVIJdpxNxsIhHXRUMRER1RReIahjQq+nawwDwMPZC9VZ6EilFhB6I72alRERkZgYCOqQPIUSyXoe+JecWYB8hVKvfRARke4xENQhSZn5qNpqA1UnAEjMzNdzL0REpGsMBHVIsVLDSEIj7IeIiHSHgaAOMZXXzP/umuqHiIh0h3+565CW9lbQ94OKJf/2Q0RExoWBoA6xMpPDWc9PJ3S2t4SVGWezEhEZG/7lrmP83R2xPTqp0ocZFf59DuqSIgjFhQCAkswU5F87DQCwaNMVUhPzp46RSSXwd3PUfdFERKR3DAR1zFgfZ3x3JrHS/TKPbYQq539rChRcO42CfwNB0w+2QFr/6UCgUgsY191ZZ7USEVHNYSCoY1ydrNHbxQFRNzM1XiVo9uHWKrX76FkGLo7Wz1oiERGJgGMI6qDlwz0gl+p2eKFcKsHy4R46bZOIiGoOA0Ed1NzOEot0/LyBxUM6oLmeBywSEZH+MBDUUWO8nTG9v5tO2prR3x2jvTl2gIjImDEQ1GGT/F2xcoQHzORSyKp4C0FQq2Aqk2DVCA985O+ipwqJiKimMBDUcWO8nXFyah/4trYHgEqDwaPtqttX0OXur7wyQERUSzAQEJrbWWL7Oz448Ykfxvu0QAt7y6dWNJQAaGFvifE+LXByqh/m9LDGj1s34vz582KUTEREOiYRBKHSB+Dl5OTA1tYW2dnZsLGxqYm6SGT5CiUSM/NRrFTDVC5FS3urMisQKpVKeHl5oUGDBggPD4dEou9FkYmIqKqqcv7mFQIql5WZHB2a2KKTcwN0aGL71HLEcrkc69atw+nTp/Hzzz+LVCUREekKAwFVW79+/TB48GDMmDEDhYWFYpdDRETPgIGAnklwcDBu376NtWvXil0KERE9AwYCeiZubm6YPHkyVqxYgdTUVLHLISKiamIgoGc2f/58WFhYYO7cuWKXQkRE1cRAQM+sfv36WLJkCb7//nvExMSIXQ4REVUDpx2STiiVSnTq1Ak2NjY4ffo0pyESERkATjukGieXy7F+/XpERUXhxx9/FLscIiKqIgYC0pkXXngBQ4cOxcyZMzkNkYjIyDAQkE6tWbMGd+/eRVBQkNilEBFRFTAQkE65urpiypQpWLlyJW7fvi12OUREpCUGAtK5Tz/9FFZWVpgzZ47YpRARkZYYCEjnbG1tsXTpUmzfvh3R0dFil0NERFrgtEPSC5VKhS5dusDCwgJRUVGchkhEJAJOOyTRyWQyrFu3DmfPnsXu3bvFLoeIiCrBQEB64+/vj+HDh2PWrFnIz88XuxwiItKAgYD0as2aNUhPT+c0RCIiA8dAQHrVpk0bfPLJJ1i1ahVSUlLELoeIiCrAQEB6N2/ePNjY2GD27Nlil0JERBVgICC9s7GxwbJly7Br1y6cOXNG7HKIiKgcnHZINUKlUqFr164wNTXFmTNnIJUyixIR6RunHZLBkclk+Pzzz/HHH39g586dYpdDRERPYCCgGuPn54eRI0di9uzZnIZIRGRgGAioRq1evRqZmZlYtWqV2KUQEdFjGAioRrVq1QqBgYFYs2YNkpOTxS6HiIj+xUBANW7OnDmoX78+Zs2aJXYpRET0LwYCqnHW1tZYvnw5QkJCEBkZKXY5REQETjskkajVanTr1g0SiQTR0dGchkhEpAecdkgGTyqVYv369Th37hy2b98udjlERHUeAwGJplevXnj11VcxZ84c5OXliV0OEVGdxkBAolq9ejWysrKwcuVKsUshIqrTGAhIVC1atMD06dMRFBSExMREscshIqqzGAhIdLNnz4adnR1mzpwpdilERHUWAwGJrl69eli5ciX27NmDiIgIscshIqqTOO2QDIJarUb37t2hUqkQExPDaYhERDrAaYdkdB5NQ7xw4QK+//57scshIqpzGAjIYPj6+uK1117D3LlzkZubK3Y5RER1CgMBGZSVK1ciOzsby5cvF7sUIqI6hYGADIqzszNmzJiBtWvX4tatW2KXQ0RUZzAQkMGZOXMmGjZsiBkzZohdChFRncFAQAbHysoKK1euxN69exEWFiZ2OUREdQKnHZJBUqvV8PX1hUKhwLlz5yCTycQuiYjI6HDaIRm9R9MQ//rrL2zbtk3scoiIaj0GAjJY3bt3x9ixYzFv3jzk5OSIXQ4RUa3GQEAGbeXKlcjNzcWyZcvELoWIqFZjICCD1qxZM8yaNQvr16/H33//LXY5RES1FgMBGbwZM2bAycmJ0xCJiPSIgYAMnqWlJVatWoX9+/cjNDRU7HKIiGolTjskoyAIAnr27In8/HxcuHCB0xCJiLTAaYdU60gkEnz++ee4dOkStmzZInY5RES1DgMBGQ1vb29MmDABn376KbKzs8tsy1coEZeajT+T7yMuNRv5CqVIVRIRGSfeMiCjcvv2bbi5ueHDDz/E+9PnY2d0MkKvpyM5qwCP/yBLADjbWcLf3RFjfZzh6mQtVslERKKpyvmbgYCMzqzFq/H91WKYt+wEmVQClbriH+FH23u7OGD5cA80t7OswUqJiMTFMQRUa4XEJONAiQfMnD0BQGMYeHx71M1MBKwLQ0hMst5rJCIyRnKxCyDS1obQeAQdvwEAkEirNstApRagUguYvS8WGXkKTPJ31UeJRERGi1cIyCiExCSXhoFnFXT8Bn7klQIiojIYCMjgpWQVYMHBOK33z714DEkrByM5eGSF+8w/GIeUrAJdlEdEVCswEJDBm7s/FspKxgo8oszNwP1TWyGrZ6d5P7WAuftjdVEeEVGtwDEE1ZCvUCIxMx/FSjVM5VK0tLeClRm/lfoQn5aLiIQMrffPOvoVzJt3gNTcGgXXIyvcT6UWEJGQgYT0XLg4ckoiERHPYlqKT8vlnHcR7IxOrnRq4SN5l0NRlHIZTd79Gg/Ct1e6v0wqwY6zyVg4pIMuSiUiMmoMBJVIySrA3P2xiEjIqPDEJABIyirA9ugkfHcmkXPedSj0erpWYUCV/wD3f/sGDZ5/E3IbB63aVqkFhN5Ix0IwEBARcQyBBiExyQhYF4aom5kAOOe9puUplEjWcuBf1vGNMLFrinqdBlapj+TMAi5zTEQEBoIKbQiNx+x9sVAo1Vp9Qn2cSi1AoVRj9r5YbAiN11OFtV9SZj60+c7nX4tEQcIfsBswGRKJpEp9CAASM/OrVR8RUW3CWwbl0PWc94b1zDDa21kn7dUWgiAgOzsb6enpuHfvXrn/kvOlQNvRGttRFxci68TXsOnyMuT17KAuynvYvvrhp351UR4glUNqal5hG8VKte7eGBGRkWIgeEJV57xrY/7BOPi2cajVYwrUajXu379f5oSu6WSfkZGBkpKSMm1IJBLY2dmhYcOGaNiwIayauVfeb0EO1PkPkPPHfuT8sf+p7Snrx8DCtTscX/m0wjZM5bxQRkTEQPCEyua8F9/9Gw8id6P4zg2oi/Ihs2kIq/Z9YOMzHFKT8j+FPprzvv0dH32VrXMqlQqZmZnlnszLO9FnZmZCpVKVaUMqlcLe3h6Ojo6lJ3l3d/fS/37yn729PeTy//1I5iuUeG7hMY23DWT1GsDpteVPvZ599mcoUi7DcdRCSC0rfqCHBEBLe6uqfnuIiGodBoLHVDbnvTgjGXd3zIDcrikavPAepBY2UKRcRnbkbhTfTYDjyM/KPc4Q5ryXlJQgIyOjwk/sT57ss7Ky8OSDMOVyORwcHEpP4E5OTvDw8KjwBG9nZweptPqfvq3M5HC2s0SShoGFErkpzFt4PvV6XuxvgERa7rbHOdtbcg0JIiIwEJRR2Zz3/CthEJTFaDh8LkwaNAYAWLTsCFX+feT9dRSqojzIzOuVe6yu57wXFxdrdWn+0b/79+8/1YapqWmZE3izZs3QqVOn0q8f/2TfsGFD1K9fv8qD9p6Vv7sjtkcnVXlgpzZkUgn83Rx13i4RkTFiIHhMZXPeHz1hT2pWdiyA1MwKkEghkVb87axsznthYaHWl+fv3buHnJycp9owNzcvcxJv3bo1fHx8nvrk/mgfa2vrGj/BV9VYH2d8dyaxysc5DJ4KDJ6qcR+VWsC47hzsSUQEMBCU0mbOe73nXkBuzC/IOrYR9f3fgszCBkUpl5H711FYdx6kcSQ78HAa3dSZs/HgXtpTJ/r8/KenvllZWZU5ibdt2xa9e/eu8BK9lZWVwZ/gq8rVyRq9XRwQdTNTt1cJBDW6t2rAZYuJiP4lEZ68UVyOnJwc2NraIjs7GzY2FQ/QMmZxqdkY9OXpSvcryUxB+r5lUGb+U/qadZeX0SDgfa1OxrLjq+FoWlzhZfnH/1lYWDzTe6otUrIKELAuDAqdTQ8UIChLoD60CNs3rcfzzz+vo3aJiAxLVc7fvELwL23moisfpCH958WQWTVA/WFzILO0heLOdWRH/Qh1SREcBk6ptI2f9x9AJ+cGuii5zmhuZ4lFQzpg9j5dPZ1QgtkBrfHTuQbo27cvZs2ahUWLFsHU1FRH7RMRGR9OwP6XNnPR74d9B7WiEI6vLoZV254wd34Otj6vwO6F95B/6QSKkis/YXHOe/WM8XbG9P5uOmlrRn93/N+LHXHy5EmsWLECQUFB6NmzJ27c0M1iVERExohnp3+1tLdCZRf8i9NuwcSh+VNjBUwbuwIASu4laTyec96fzSR/V6wc4QEzuRQyadXGSsikEpjJpVg1wgMf+bs8fE0mw6xZs3D27Fnk5OSgU6dO+Pbbb5+abklEVBcwEPzr0Zx3TWT17FCSkQx1cWGZ1xW3rz3cbq35KXuc8/7sxng74+TUPvBtbQ8AlQaDR9t9W9vj5NQ+5S4h3aVLF1y4cAFjx47Fe++9h1deeQWZmZm6L56IyIAxEDzG391R4wnGxnso1AU5SAv5FPlXI1CYeBHZUT/h/qktMHFwhkWbLhUeyznvutPczhLb3/HBiU/8MN6nBVrYWz51dUcCoIW9Jcb7tMDJqX7Y/o6PxqWjrays8J///Af79u1DWFgYPD09cfLkSb2+DyIiQ8JZBo+JT8tFv/XhGvcpSrqE7LN7UJKeCLWiADIbB1i6dINNj1GQWWj+3pyc6sdpbnqSr1AiMTMfxUo1TOVStLS3qvbVmNTUVLzxxhs4efIkpk+fjqVLl8LMzEzHFRMR6V9Vzt8MBE8YvyVa53PeZVIJfFvbG9WzDOo6tVqN9evXY86cOWjfvj127dqFdu3aiV0WEVGVVOX8zVsGT1g+3APyKg5Yq4xcKsHy4R46bZP0SyqVIjAwENHR0VAoFOjcuTO+/vprDjgkolqLgeAJj+a869LiIR1q9aOPazMvLy+cO3cOb7/9Nj788EMMHToU9+7dE7ssIiKdYyAoh67nvJc3sp2Mh6WlJb766iscOnQIZ8+ehYeHB44ePSp2WUREOsVAUAFdz3kn4zd48GBcunQJnTp1woABA/DJJ5+gqKhI7LKIiHSCgUADfcx5J+PWqFEjHD58GJ9//jk2bdoEb29vXL58WeyyiIieGWcZaCk+LRc7o5MReiMdyZkFePybJsHDRYf83RwxrrszpxbWEbGxsXj99dcRHx+PNWvWYNKkSbXuaZNEZNw47VDPdDnnnYxbUVERZs+ejc8//xwvvfQStm3bhkaNGoldFhERAAYCohp39OhRvPnmm1Cr1di6dSsGDx4sdklERFyHgKimvfTSS7h06RJ8fHzw8ssvY9KkSSgsLKz8QCIiA8FAQKQjjo6OOHjwIDZu3IgtW7agS5cu+Ouvv8Qui4hIKwwERDokkUjwf//3f7hw4QJMTU3h4+ODtWvXQq1Wi10aEZFGDAREetCuXTtER0dj8uTJmDZtGl588UWkpqaKXRYRUYUYCIj0xMzMDEFBQThx4gTi4uLg6emJAwcOiF0WEVG5GAiI9CwgIACxsbHw8/PD8OHDMXHiROTn54tdFhFRGQwERDXA3t4ee/fuxTfffIMdO3agc+fOOH/+vNhlERGVYiAgqiESiQTvvvsuLly4AGtra3Tv3h2rVq2CSqUSuzQiIgYCoprm7u6OqKgoTJ8+HXPmzEFAQABSUlLELouI6jgGAiIRmJqaYsWKFTh16hQSEhLQsWNH7NmzR+yyiKgOYyAgEtHzzz+PS5cuISAgAK+++irefvtt5Obmil0WEdVBDAREImvQoAF+/PFHbNu2DXv27EGnTp0QHR0tdllEVMcwEBAZAIlEgjfffBN//vknHBwc0LNnTyxdupQDDomoxjAQEBkQFxcXREREYO7cuViwYAGef/55JCUliV0WEdUBDAREBsbExASLFy9GWFgYUlJS0LFjR+zevVvssoiolmMgIDJQvXr1wsWLFzFo0CC8/vrrGD9+PLKzs8Uui4hqKQYCIgNma2uLnTt3YseOHfjll1/g5eWFyMhIscsiolqIgYDICIwdOxYXL15EkyZN4Ofnh4ULF0KpVIpdFhHVIgwEREaiVatWCAsLw8KFC7F06VL4+fnh5s2bYpdFRLUEAwGREZHL5fjss89w+vRppKWlwcvLCz/88AMEQRC7NCIycgwEREaoe/fu+PPPPzFixAi88cYbeO211/DgwQOxyyIiI8ZAQGSkbGxs8N133yEkJARHjx5Fx44dER4eLnZZRGSkGAiIjNzo0aNx6dIltGzZEs8//zzmzZuHkpISscsiIiPDQEBUCzg7O+PUqVNYvnw5Vq9ejZ49eyI+Pl7ssojIiDAQENUSMpkMs2fPRlRUFB48eIBOnTph69atHHBIRFphICCqZby9vXHhwgW89tpreOeddzBq1ChkZWWJXRYRGTgGAqJaqF69evjmm2+wd+9ehIaGwtPTE6dOnRK7LCIyYAwERLXYiBEjcOnSJbi7uyMgIAAzZ85EcXGx2GURkQFiICCq5Zo2bYoTJ05g9erVWL9+PXr06IFr166JXRYRGRgGAqI6QCqVYvr06YiOjkZBQQE6d+6MzZs3c8AhEZViICCqQzp16oTz58/jzTffxAcffIBhw4bh3r17YpdFRAaAgYCojrG0tMTGjRvxyy+/ICoqCp6enjh+/LjYZRGRyBgIiOqoIUOG4NKlS/D09MSLL76IwMBAFBUViV0WEYmEgYCoDmvcuDGOHDmC9evX46uvvoKPjw/i4uLELouIRMBAQFTHSaVSTJkyBTExMVCpVOjatSs2bNhQ7QGH+Qol4lKz8WfyfcSlZiNfodRxxUSkD3KxCyAiw+Dp6YmYmBjMmjULkydPxpEjR7B161Y4OTlVemx8Wi52Ricj9Ho6krMK8HiUkABwtrOEv7sjxvo4w9XJWm/vgYiqTyJo8TEgJycHtra2yM7Oho2NTU3URUQi+vXXX/HWW28BALZt24aBAweWu19KVgHm7o9FREIGZFIJVOqK/5w82t7bxQHLh3uguZ2lXmonov+pyvmbtwyI6CkDBw5EbGwsvL29MWjQIEyePBmFhYVl9gmJSUbAujBE3cwEAI1h4PHtUTczEbAuDCExyfopnoiqhYGAiMrl6OiIQ4cOYcOGDfj222/RtWtXXLp0CQCwITQes/fFQqFUVxoEnqRSC1Ao1Zi9LxYbQvmIZiJDwVsGRFSpuLg4vP7667h27RrGL/gaJ3MrH1egrVUjPDDa21ln7ZFhysrKQlJSEgoLC5GXl4eMjAw4OzvD1NQUTk5OaNasGWQymdhl1jpVOX9zUCERVapDhw74448/MGXuYvyaVR9SuQBIJDppe/7BOPi2ceCYglpCEAT8+eef+PXXX3HlyhUkJCQgISEB9+/f13icqakpWrduDRcXF7i4uMDf3x8BAQGwtOTPRU3hFQIi0tr4LdGITMiAupxtRUmXkLZ7brnHNRofBLOmbcvdJpNK4NvaHtvf8dFhpVSTBEHAb7/9hv379+PgwYP4559/YGtri44dO5ae4F1cXNCyZUtYWVnBxMQExcXFkMlkUCgUuHPnTmlwSEhIwJUrV3Dr1i1YWFigX79+GDJkCEaOHAlbW1ux36rR4RUCItK5+LRcRCRkVLpf/T4TYO7sWeY1k4YtKtxfpRYQkZCBhPRcuDhySqIxEQQBR44cwfz583H+/Hm0bNkSr7zyCoYMGYLevXvDxMREq3Y6duz41GvXr1/HoUOHcPDgQbz//vuYMWMGZsyYgcmTJ6NevXq6fisEDiokIi3tjE6GTFr5bQJ5gyYwa9q2zD+pqYXGY2RSCXac5awDY3Lu3Dn4+vpi0KBBsLCwwKlTp3Dz5k2sX78effv21ToMVMTd3R3Tp09HeHg4kpOT8frrr2PhwoVo1aoVvvzySz6pUw8YCIhIK6HX06s8o0BbKrWA0BvpemmbdEsQBPznP/9Bz549oVAocOzYMYSHh8Pf3x8SHY0reVLTpk2xYcMGxMfHY9iwYfj4448xcuRI5OTk6KW/uoqBgIgqladQIjmrQKt9s45vQtKqIUheOwppP36GohTtno2QnFnAZY4NXHFxMd59911MnDgR77zzDs6cOYP+/fvrLQg8ydnZGd988w0OHDiAkydPolu3brh+/XqN9F0XMBAQUaWSMvNR2bUBqZkVrLsOgf1LH8Hp9eWwC3gfqpwMpO2ag8Kb5yvtQwCQmJmvk3pJ9wRBwP/93/9hx44d2LZtGzZu3AgzMzNRahk6dChiYmIgkUjQr18/3L17V5Q6ahsGAiKqVLGyvHkFZZk2agO7gPdh6dYD5s2fQz3Pfmg0fg1k9exwP3Sbzvohcaxbtw5bt27FN998gzfffFPscuDm5oYTJ05AqVRi+PDhfHS3DjAQEFGlTOXV+1MhNa8HCxdvlNxLhLpEobd+SL8iIyMxY8YMzJo1CxMmTBC7nFLNmjXDgQMH8Ndff2H69Olil2P0+NtHRJVqaW+Fat8l/nc0eGX3mSX/9kOGRRAEzJ07Fx07dsTy5cvFLucp3bp1w5IlS7B582bcvHlT7HKMGgMBEVXKykwO52qsJKgqykPh3zEwcWwNidxU477O9pawMuPSKIbm1KlTCA8Px+LFiyGVGuYp48MPP4SDgwOWLFkidilGzTD/7xKRwfF3d9S4DsG9g2tw//fvkH/tNIqSLiH3r6O4+8N0qPIfoEHftzW2LZNK4O/mqOuSSQe+/PJLdO7cGYMGDRK7lApZWlpi5syZ2L59Ox48eCB2OUaLgYCItDLWx1njOgSmDVui8OYFZB75Emkhn+JB+HaYODRHo/FrYNHSS2PbKrWAcd35gCNDo1arER4ejqFDh9bY1MLqGjp0KFQqFU6fPi12KUaL1+eISCuuTtbo7eKAqJuZ5QYD2x6jYNtjVJXbFdQqKJJjsXnN75g3bx7q16+vg2pJFy5fvoz79+/Dz89P7FIq1apVKzRt2hTh4eEYPHiw2OUYJV4hICKtLR/uAbkWyxdXhbmpCSa0lWPjxo1wdXXFxo0boVRygSJDcPXqVQBAp06dRK6kchKJBJ06dcKVK1fELsVoMRAQkdaa21li0ZAOOm1z8ZAOWL1gFuLj4/Hyyy9j0qRJ8PT0xJEjR3TaD1Xdo+cFyOXGcTHZxMSEzzh4BgwERFQlY7ydMb2/m07amtHfHaO9H44daNKkCbZu3Yrz58/DyckJAwcOxEsvvYTLly/rpC8i0oyBgIiqbJK/K1aO8ICZXKrVExAfJ6hVMJVJsGqEBz7yd3lqe6dOnXDq1Cns378ff//9Nzp27Ij/+7//Q3o6H35U0+zs7AAA//zzj8iVaOeff/6Bvb292GUYLQYCIqqWMd7OODm1D3xbP/wDXFkwKN1+9zpaX9tVemWgPBKJBMOGDUNcXByCg4MREhICFxcXrFq1ikvU1qAePXpAKpUiIiJCZ23mK5SIS83Gn8n3EZearbMHWuXm5uLChQvo3bu3TtqriySCFjdccnJyYGtri+zsbNjY2NREXURkROLTcrEzOhmhN9KRnFlQ5kFIEjxcdMjfzRHjujvjz7CjePXVV3H48GEMHDhQq/YzMzOxePFibNy4Ec2aNcOqVaswatQog58KVxt4e3vD1dUVu3btqnYbpT8f19ORnFXOz4edJfzdHTHWxxmuTtbV6uPIkSMYOHAgrl27Bnd392rXWttU5fzNQEBEOpWvUCIxMx/FSjVM5VK0tLcqswKhIAjo168fEhMTcfnyZZibm2vd9vXr1zFjxgwcOnQIvr6+WLduHbp166aPt0H/WrlyJRYsWID4+Hg4O1dtrYiUrALM3R+LiIQMyKQSjetYPNre28UBy4d7oHkVV8bs378/UlNTERsby6D4mKqcv3nLgIh0yspMjg5NbNHJuQE6NLF9ajliiUSCL7/8EklJSVizZk2V2nZ3d8fBgwdx4sQJ5OXlwcfHB+PGjUNKSoou3wI9ZtKkSbCxscGyZcuqdFxITDIC1oUh6mYmAGgMA49vj7qZiYB1YQiJSda6r4iICJw4cQKLFi1iGHgGDAREVOPatWuHwMBALF++HImJiVU+PiAgABcuXMA333yDkydPws3NDZ999hny8vJ0X2wdV69ePcyaNQtbt27F2bNntTpmQ2g8Zu+LhUKprjQIPEmlFqBQqjF7Xyw2hMZXun9BQQE++eQTeHl5Yfjw4VXqi8riLQMiEkVeXh7atm0Lb29v7N+/v9rt5ObmYuXKlQgODkaDBg2wbNkyvPHGG5DJZDqstm5TKBQICAhAfHw8/vjjD423DkJikjF7X6zO+l41wqPCAaiCIGDMmDE4dOgQTp8+jc6dO+us39qCYwiIyCj8+OOPGDNmDH799VcMGDDgmdpKSkrCnDlzsHv3bnh5eWHt2rXw9/fXUaV07949dOvWDba2tjhx4gQaNmz41D4pWQUIWBcGhVL91LbitJt4EP4Diu8lQV2QDYncFHK7prDuPBj1nqv4/5OZXIqTU/s8Nabg0WOZV65ciZ9//hmvvPLKs7/JWohjCIjIKLz66qvo27cvPv74YygUimdqq0WLFti1axfOnDkDCwsL9O3bF0OHDsWNGzd0VG3d1rBhQxw6dAipqano0qULYmJintpn7v5YKCu4RaAuyoPM2gH1/SbAcdRC2A8OhNzWCZn/DcaDyJAK+1WqBczdX/aKQ05ODkaOHImVK1dizZo1DAM6wkBARKKRSCTYsGEDEhMTERQUpJM2u3fvjsjISISEhODixYvo0KEDPvnkE2RlZemk/brsueeew/nz59G4cWP06tULX331VelzJ+LTchGRkFHhmAHzFp6wf2kS6j3nD/MWnrB06YaGQ2fCtIk78i4eq7BPlVpAREIGEtJzAQDnz5+Hj48PTpw4gf3792P69Om6f6N1FAMBEYmqXbt2+OSTT7Bs2TIkJSXppE2JRILRo0fj6tWrWLJkCbZu3QoXFxd8/vnnKCkp0UkfdVXz5s0RHh6Od955B5MmTUKHDh2wa9cubD+bWOVVKwFAZmEDiUTzqUgmlWD94QsYMWIEunbtChMTE5w7dw7Dhg2r5rug8jAQEJHo5s+fjwYNGmDq1Kk6bdfCwgKzZ89GfHw8Ro0ahcDAQDz33HM4ePAgH4LzDMzMzLBx40ZcuHABbm5uGDt2LLafvKDVjAJBUENQq6AqyEbuhcMovHUBNt1HajxGpRaw/+wNXLx4Ed99911pv6RbHFRIRAYhJCQEr732Go4ePYoXX3xRL33ExsYiMDAQJ0+eRN++fREcHAwvLy+99FWXhEWexRuHMgAt1gDIPLoBeX8dffiFTA67F96HdWdtVqwU8Ne8F1C/nsWzFVvHcFAhERmd0aNHw9/fH5MnT37mAYYV8fDwwPHjx/Hf//4Xqamp6Ny5M959913cuXNHL/3VFQ6t2mkVBgDAtseraPTGOjiOWoB6nv2QdWITsqP3aXGkBLdzip+tUNKIgYCIDMKjFQxv3bqF4OBgvfYzaNAgXLp0CV988QX2798PV1dXLFu2DIWFhXrrtzYrLmeaYUXkto4wa+wKizbesH/xI9TzehEPwr6HqiBbp/1Q1TEQEJHB6NChA6ZMmYKlS5ciOVn7pWurw8TEBJMmTUJCQgImTpyIRYsWwd3dHbt27YJazRNPVZjKq38qMWvsBqhVUD64q9d+qHL87hKRQVmwYAHq16+PwMDAGumvQYMGCA4OxpUrV9C1a1eMHTsWPXr0QFRUVI30b6zUajViY2Px1VdfYUHgh9UepFmUdAmQSCGv30jjfhIALe2tqtUHaYeBgIgMirW1NYKCgrB3714cP368xvp1cXHBvn378Pvvv0OpVKJnz54YPXp0tZ61UBsplUrExMQgODgYQ4cOhYODAzw9PTF16lTc/ScJ1pIijcdnHvkS909tQf7VCBQlxyL/WiTu/bIK+XGhsOk2DDJLW43HO9tbPvWgLNItzjIgIoMjCAL8/f1x584dXLp0CWZmZjXav1qtxvbt2zF37lxkZmbik08+wdy5c+vU3z+FQoGYmBiEh4cjPDwckZGRyMvLg4WFBXx9feHn5wc/Pz/4+PjAwsICCw/GYXt0UoVTD/MunUDepZMoyUyBWpEPqYk5TBxboV7HFzUuXQw8XIdgvE8LLBzSQR9vtVbjswyIyOhdvnwZXl5eWLp0KWbPni1KDfn5+VizZg1Wr16NevXqYcmSJXjnnXcgl9e+T6r5+fk4c+ZMaQA4e/YsFAoFbGxs0KtXr9IA0KVLF5iamj51fHxaLvqtD9dbfSen+sHF0Vpv7ddWDAREVCsEBgZi8+bNuHr1qsYn7OnbP//8g3nz5uGHH37Ac889h+DgYPTv31+0enThwYMHiIyMRHh4OMLCwnD+/HkolUo4ODiUnvz9/Pzg6emp9ZMjx2+JRtTNzCo/8lgTmVQC39b22P6Oj87arEsYCIioVsjJyYG7uzt69eqFPXv2iF0Ozp07h8DAQERERGDAgAEIDg5Gu3btxC5LK+np6YiIiCi9AnDx4kUIgoCmTZuWnvz79OmDtm3bQqLlmgJP0vS0w+qq6GmHpB0GAiKqNXbu3Ilx48bhxIkTCAgIELscCIKAffv2YebMmUhKSsIHH3yAhQsXwsHBQezSykhJSSk9+YeHh+PatWsAgDZt2pS5AtCqVatqB4DyhMQkY/a+2Mp31NKqER4Y7S3e1SFjx0BARLWGIAh4/vnnkZaWhkuXLpV7/1oMCoUCX375JZYsWQKJRIJPP/0UkydPrvEBkMDD79Hff/9dJgDcunULANC+fXv06dMHfn5+6N27N5o2bar3ejaExiPo+LM/dnpGf3d85O+ig4rqLgYCIqpVYmNj0alTJyxbtgyzZs0Su5wy7t27h4ULF2Lz5s1o2bIlVq9ejeHDh+v0U/eT1Go1rly5UiYA3LlzB1KpFF5eXqWf/nv16oWGDRvqrQ5NQmKSseBgHJRqoUpjCmRSCeRSCRYP6cArAzrAQEBEtc7UqVPxzTff4Nq1a2jWrJnY5TzlypUrmD59Oo4cOQI/Pz+sXbsWXbp00UnbSqUSFy9eLB0AGBERgaysLJiYmMDb27s0APj6+sLWVvN8/pqUklWAuftjEZGQAZlUojEYPNre28UBy4d7cMyAjjAQEFGtk52dDXd3d/Tp0wc//vij2OVU6NixY5g2bRri4uIwYcIELF++vMqX6RUKBc6dO1dmDYDc3FyYm5ujR48epQGge/fusLQ0/BNnfFoudkYnI/RGOpIzC/D4SUeCh4sO+bs5Ylx3Z04t1DEGAiKqlbZv344JEyaUO8AwX6FEYmY+ipVqmMqlaGlvJdrKdkqlElu2bMFnn32GvLw8zJw5EzNmzICVVflL7xYUFDy1BkBRURGsra3LrAHQtWtXgxlDUV2G9P+pLmAgIKJaSRAE+Pn5ISMjAxcvXkTSfcXDT57X05GcVc4nTztL+Ls7YqyPM1ydav6TZ05ODpYvX45169bBwcEBy5cvx/jx45Gbm1u6BkB4eDhiYmKgVCphb2+P3r17l04B9PT0rJWLIFHNYSAgolrr0qVL8PZ/Cd0+XIcUZT2juDd97tw5TJkyBVFRUbCwsCh9zHLjxo1LZwD4+fmhXbt2kEr5iBnSnaqcvxk9icioXFHUR9P3NiG5GJBIUekI9kfbo25mImBdGBYN6YAxeh69fvv27dJP/2FhYbh69SqAhwGgpKQEhYWF6N+/PzZs2ABXV1e91kKkLUZRIjIaG0LjMXtfLNQSGSRS7ZbTfUSlFqBQqjF7Xyw2hMbrrKZHawBs27YNb731Ftq0aYNmzZrh9ddfR1hYGPz8/LBz504kJycjNTUVaWlp2LlzJ65evYoOHTpg2rRpePDggc7qIaou3jIgIqNgKCvgCYLw1BoAqampkEgkT60B4OjoWGE7BQUFWLt2LVauXAlzc3MsXLgQEydOhImJybO8LaIyOIaAiGqVytbIVxcX4kH4dhRcOw1VYS5M7JvBtvtIWLXvU2Gb2q6Rr1KpStcACA8PR0REBDIyMiCXy9G1a9fSANCzZ0/Ur1+/yu/tzp07+Oyzz7B161a4u7sjKCgIAwcO1OvCRlR3MBAQUa1S2VP00kI+Q/GdG6j//JswsWuK/Cu/I+/icTi8PB1WHZ4v95iKnqJXXFz81BoAOTk5MDc3R/fu3cusAVDRNMLq+OuvvxAYGIjQ0FD069cPwcHB8PDw0Fn7VDdxUCER1RrxabmISMiocHvh3zEoSvwTDkNmlF4RMG/hCWX2PdwP3QrLdr3LHW+gUguISMhAbNI9ZNy8XDoA8OzZsygsLES9evXQq1cvzJ49u3QNAH0+p8DLywu//fYbDh06hOnTp8PLywvvvvsuFi9eDCcnJ731S/QIBxUSkUHbGZ0MmbTiy+cFN85AYmoBy7a9yrxezzMAqrwsKFI1PGRHrYL/+/PRt29ffPHFF7CxscHSpUsRExOD+/fv48iRI5gzZw569uxZIw8tkkgkGDJkCC5fvoy1a9diz549cHV1xcqVK1FUVKSzfvIVSsSlZuPP5PuIS81GvkKps7bJePEKAREZtNDr6RqnFhbfS4KJfbOnrgKYNGwJACjJSIJ5s3blHyyVoVm3F/F78Edo3769wawBYGpqiilTpmD8+PFYvHgxPvvsM2zatAmrVq3Cq6++Wq3xBaXLBxvoIk4kPsP46SciKkeeQonkrAKN+6gLcyE1f/oEJrWw/nd7jsbjs5UmaOXa1mDCwOPs7Oywfv16xMXFoWPHjhgzZgx69uyJ6OhordtIySrA+C3R6Lc+HNujk5D0RBgAAAFAUlYBtkcnod/6cIzfEo2USr7vVPsY3m8AEdG/kjLznzp5lUvjJ2bNn6YFAImZ+VWoqua5ubnhl19+wW+//YaCggJ0794dr7/+OpKTkzUeFxKTjIB1YYi6mQmg6os4hcRobp9qFwYCIjJYxRVMM3yc1MK63KsA6sLc0u266McQ9O3bF+fPn8eWLVsQGhoKd3d3zJs3D7m5uU/t+2gRJ4VSXWkQeJK+FnEiw8ZAQEQGy1Re+Z8o04YtUZL5DwS1qszrJfcSAQAmDi100o+hkMlkePvtt3Hjxg1MmzYNa9euhaurK7799luoVA+/ByExyQg6rmEwZRUEHb+BH3mloE4wnt8CIqpzWtpbVXLBH7B06wGhuBAF1yPLvJ53+RRk9exg1sRN4/GSf/sxNtbW1li6dCmuX7+OgIAAvPfee+jcuTNC/nsCCw7G6bSv+QfjOKagDuAsAyIyWFZmcjjbWSJJw8nIok1XmLfshKxjG6FWFMCkQRPkXwlD0c3zsH95WqXPPHC2t4SVmfH+KXR2dsaOHTswefJkBAYGYsqOs7Bo6fXwyU9PKEy8iPy4UChuX4Mq9x6kZlYwbeQK216vwayRS4V9KNUC5u6PfWoRJ6pdeIWAiAyav7ujxnUIAKDhiLmw6uCP7IidSPtpPhSp1+EwZAbqdfDXeJxMKoG/W8XPGzAmPj4+2Lb3CCxadS43DABA3p+/QpmdDpuuQ+A4aiEaBLwPVcED3P1hGgoTL1bY9qNFnBLSnx6rQLWH8cZiIqoTxvo447sziRr3kZpawK7fRNj1m1iltlVqAeO66/dRyDVp1x8pkEklFQ4itOv/f5BZ1S/zmkXrLri9+T3knPkJFi07Vti2TCrBjrPJWDikgy5LJgPCKwREZNBcnazR28Wh0qsEVSWTStDbxQEujrVnEZ7KFnF6MgwAD8OUib0zlLkVLw8NPAxPoTfSn7VEMmAMBERk8JYP94Bcx4FALpVg+fDa8/AgbRZxKo+6KB/FaX/DxKHyKyXJmQVc5rgWYyAgIoPX3M4S73ay1Wmbi4d0qPTRx8ZE60WcnpB14msIJUWw9R1d6b7GsIgTVR8DAREZvJs3b2LtR6/AIv6kTtqb0d8do71rz9gBoHqLKz0I3478uN/R4IV3Nc4yeNZ+yDgwEBCRQbt79y769++PevXqIWzjHKwc4QEzubTKYwpkUgnM5FKsGuGBj/y1O/kZk6ourvTg9C5kR/2I+n4TYNPlZb31Q8aDswyIyGBlZ2djwIABKCgoQGRkJBwdHTHGEejZxgFz98ciIiFD46h6AKXbfVvbY/lwj1p1m+BxjxZx0ua2wYPTu5B9ehdse70OW99Xte7DWBdxIu0wEBCRQSoqKsLQoUORmJiI8PBwtGrVqnRbcztLbH/H53+P9L2RjuTMch7pa28JfzdHjOvuXKtmE5RHm0WcAOBB5O6HYcB3NOr3er1KfRj7Ik6kGf/PEpHBUSqVeO211xAdHY2TJ0/Cw6P82QCuTtZYOKQDFqID8hVKJGbmo1iphqlcipb2VnXu5OXv7ojt0UkVXjHJid6H7IidMG/dBRZtvKG4fa3MdrOmbStsuzYt4kTlq1u/LURk8ARBwAcffIBDhw7hwIED6Nmzp1bHWZnJ0aGJbmciGJvKFnEqSPgDAFB08zzu3jz/1PYWs/9b4bG1bREnehoDAREZlHnz5mHLli34/vvvMXjwYLHLMSqPFnGKuplZ7lWCRmNXVqtdQaWENONvXPtDQJtBgyCR6HZNCDIMHC5KRAZj3bp1WLFiBYKCgjBhwgSxyzFK+ljEycxUjuZ3IvDyyy+jf//+uHTpkk7bJ8PAQEBEBmH79u0IDAzErFmzMG3aNLHLMVrN7SyxSMfPG1gy1ANhv+7DwYMHkZycDC8vL7z33nu4e/euTvshcTEQEJHoDh8+jLfeegtvv/02VqxYIXY5Rm+MtzOm93fTSVuPFnGSSCR4+eWXcfnyZXz++efYt28fXFxcsGzZMhQWFuqkLxIXAwERiSoqKgqjRo3C4MGDsXnzZt6f1pFJ/q56WcTJxMQEkydPRkJCAiZOnIhFixbB3d0dO3fuhFrNVQyNGQMBEYnm8uXLGDRoELy9vbF7927I5RznrEtjvJ1xcmof+La2B4BKg8Gj7b6t7XFyah+Nyzs3aNAAwcHBuHLlCry9vTFu3Dj06NEDkZGRunsDVKMkgiBUurBVTk4ObG1tkZ2dDRsbm5qoi4hqucTERPTs2RMNGzZEWFgYbG3r9pRBfdP3Ik5hYWEIDAzEhQsXMGrUKKxcuRKtW7fWWf1UPVU5fzMQEFGNS09PR69evaBSqRAZGYlGjRqJXVKdoq9FnNRqNXbs2IE5c+YgIyMDU6ZMwbx58xj2RMRAQEQGKzc3F/7+/vjnn38QGRmJNm3aiF0S6Vh+fj6Cg4OxatUqWFpaYtGiRXj//fd5S0gEVTl/cwwBEdUYhUKBYcOGIT4+HkePHmUYqKWsrKwwf/58xMfHY/DgwZg0aRI8PT1x5MgRaPEZlETCQEBENUKlUmHcuHGIjIzEwYMH4eXlJXZJpGdNmjTBtm3bcO7cOTg5OWHgwIF46aWXEBsbK3ZpVA4GAiLSO0EQ8NFHH2Hfvn0ICQlBnz59xC6JalDnzp1x6tQpHDhwADdv3oSXlxcmTpyItLQ0sUujxzAQEJHeLViwAJs3b8Y333yDYcOGiV0OiUAikWDo0KGIi4vD2rVrsWfPHri6umLlypUoKioSuzwCAwER6dmXX36JJUuWYOXKlXj77bfFLodEZmpqiilTpiAhIQFvv/02PvvsM7Rt2xYhISEcXyAyBgIi0pvdu3fj448/RmBgIGbOnCl2OWRA7OzssH79esTFxcHLywuvvfYafH19cebMGbFLq7MYCIhIL44dO4YJEyZg/PjxWLNmDZckpnK5ubnhwIEDOHXqFIqKiuDr64sxY8YgMTFR7NLqHAYCItK56OhojBgxAi+++CK2bNkCqZR/akgzf39/nDt3Dtu2bUN4eDjatm2L2bNnIycnR+zS6gz+lhKRTl29ehUDBw6El5cXfvrpJ5iYmIhdEhkJmUyGN998Ezdu3MCsWbPwxRdfwMXFBZs3b4ZSqRS7vFqPgYCIdCYlJQX9+/dHkyZN8N///heWlpZil0RGqF69eli0aBFu3LiBAQMG4IMPPoCXlxeOHTsmdmm1GgMBEelERkYG+vfvD5lMhmPHjqFBgwZil0RGrlmzZvj+++8RExMDOzs7vPTSSxgwYACuXLkidmm1EgMBET2zvLw8DBo0CJmZmTh+/DiaNGkidklUi3Tt2hVhYWHYu3cv4uPj4enpiQ8//BDp6elil1arMBAQ0TMpLi7GK6+8gitXruDIkSNwc3MTuySqhSQSCUaMGIG4uDisXr0au3btgqurK1avXs2FjXSEgYCIqk2tVuONN97A77//jl9++QVdunQRuySq5czMzBAYGIiEhAS88cYbmDt3Ltq1a4effvqJCxs9IwYCIqoWQRAwZcoU/Pjjj9i1axf69u0rdklUhzg4OOCLL77A5cuX4eHhgdGjR6NXr16Ijo4WuzSjxUBARNWydOlSbNiwAV9//TVeeeUVscuhOqpt27Y4ePAgTpw4gby8PHTv3h1jx45FcnKy2KUZHQYCIkK+Qom41Gz8mXwfcanZyFdonvO9adMmzJ8/H0uWLMHEiRNrqEqiigUEBODChQv49ttv8dtvv8Hd3R3z5s1Dbm6u2KUZDYmgxU2XnJwc2NraIjs7GzY2NjVRFxHpWXxaLnZGJyP0ejqSswrw+B8CCQBnO0v4uztirI8zXJ2sS7ft2bMHo0ePxuTJk7F+/XouSUwGJzc3F6tXr0ZQUBBsbW2xZMkSvP3225DJZM/cdr5CicTMfBQr1TCVS9HS3gpWZnIdVK0fVTl/MxAQ1TEpWQWYuz8WEQkZkEklUKkr/hPwaHtvFwcsH+6B6xeiMHDgQIwcORI7duzgksRk0FJSUjBnzhzs3LkTHh4eCA4ORr9+/arcTnXDsyFgICCicoXEJGPBwTgo1YLGIPAkmVQCGQRkndyMrg2KcfDgQZiamuqxUiLd+eOPPxAYGIjIyEgMHDgQQUFBaNeuXaXHPUt4bm5nGKt0VuX8zXhPVEdsCI3H7H2xUCjVVQoDAKBSC1CoBNTrOxH9p65lGCCj0q1bN0RERGDPnj24evUqPDw8MGnSJGRkZFR4TEhMMgLWhSHqZiYAVPo782h71M1MBKwLQ0iM8Q1qZCAgqgNCYpIRdPzGM7XxaKzAF7/fwo9G+MeO6jaJRIKRI0fiypUrWLFiBbZv3w4XFxcEBQVBoVCU2feZw7NSjdn7YrEhNF6Xb0HvGAiIarmUrAIsOBin0zbnH4xDSlaBTtskqgnm5uaYMWMGEhISMHbsWMyePRvt27fH3r17IQiCTsLzI0HHbxhVeOYYAqJabvyWaETdzKzwk44i9ToeROyA4vY1QBBg2tgV9f3Gw7xZ+wrblEkl8G1tj+3v+OirbKIaceXKFcyYMQO//vorur8wCBk+/wdFYQGyo0JQnHYLxWl/Q12YA9uer6F+77FPHa+4m4AHodugSL0OSGUwb+GJBn3fgUn9RgAAM7kUJ6f2EW1MAccQEBGAh6OjIxIyKg4Dd27g7s7ZEEqK4TA4EA6DAyEoi5G2ex4Ut69W2K5KLSAiIQMJ6ZzjTcatffv2OHz4MI4dO4b0Fi+guEQJdWEucv86BkFVAku37hUeW5KZgrRdcyColGg4bBYcBk6BMus20nbMhKogGwCgVAuYuz+2pt7OM2EgIKrFdkYnQyateJ2AB+E7IDW3guPoRbB06wFLd184jV4CqakF7p/aqrFtmVSCHWeN53IokSatOvaAytENEpkcMltHNP8kBI3GrkT9Pm9UeMyDiJ2QyEzgOGoBLNp4w9LdF46jFkJVkIOc6H0AjCs8MxAQ1WKh19M1DopS3L4Kc2cPSE3MS1+TmlnCvPlzUNy+CmVeVoXHqtQCQm/w8bNUOzweniUSSaULbglqFQoTYmDp7gup2f9uB8htHWHewgMFN86UvmYs4ZmBgKiWylMokVzJwD9BVQKJzOTpDfKHr5XcS9R4fHJmQaXLHBMZg8rC85OU9+9AUCpg6tjqqW2mDVv9u70YgPGEZwYColoqKTMflf15M7F3hiL1OgRBXfqaoFahOPU6AEBdqPkypwAgMTP/GSslEpc24flJqn9/N6Tm9Z7aJrWoB0CAqiiv9DVjCM8MBES1VLFSXek+Nl0GQ5l1G1nHN0GZmwFlzj1kHf0Kyux/P81o8ZwCbfohMmTahOcKafgdkeB/24whPBvuExmI6JmYyivP+/U69oeqMAfZUT8i789fAQBmTdvCxmcEcs7+DFk9e530Q2TIqhNqZRYPn1lQ3lU0dWEeAAmk5lbP3E9NYiAgqqVa2ltBAlT6yce2+0jYdB2Kkvu3ITW1hNzWEZlHN0BiYg7TRi4aj5X82w+RMatOqJU3aAyJ3AzF5YyzKb6X+O/2skt8G3p4NuzqiKjarMzkcNZyMRSJ3ASmDVtCbusIZXY68q9GoF7HFyE1MdN4nLO9pUE/+pVIG4/Cc1VIpDJYuHRDwfUzUCv+N/5AmZ2OouRLsHT3Lbs/DD888zeZqBbzd3fE9uikCkdPF99LRMH1KJg2coVEboKStJvIPvszTBo0QX2/cRrblkkl8Hdz1EfZRDXqUXhOemxgYeHf56AuKYJQXAjg4SJE+ddOAwAs2nSF1MQc9Xu/jjvfByL958Ww7T4SgrIYD07vhMzCBjbdhpfpwxjCs2FXR0TPZKyPM747k1jhdonMBEVJl5B77hDUJYWQ2zSEdacBsOk+ClJT8wqPAx5OpRrX3VnHFROJ48nwnHlsI1Q5/5sqWHDtNAr+DQRNP9gCaX1zmNg3h9PrK/AgdBvuHVjxcOliZ080GPEpZJa2pccaS3jmswyIarnKnmVQHXyWAdU28Wm56Lc+XG/tn5zqBxdHa721XxE+y4CISi0f7gG5huWLq0MulWD5cA+dtkkkJlcna/R2cdC41Hd1yKQS9HZxECUMVBUDAVEt19zOEouGdNBpm4uHdBDt6W1E+lLXwzMDAVEdMMbbGdP7u+mkrRn93THam2MHqPap6+GZgYCojpjk74qVIzxgJpdW+bKoTCqBmVyKVSM88JG/5rUJiIxZXQ7PDAREdcgYb2ecnNoHvq0frkBYWTB4tN23tT1OTu1jVH/ciKqrroZnzjIgqqPi03KxMzoZoTfSkZxZUGZFQwkezpv2d3PEuO7ORjEgikjXUrIKMHd/LCISMiCTSjTO1Hm0vbeLA5YP9zCY2wRVOX8zEBAR8hVKJGbmo1iphqlcipb2Vga/iApRTTHm8MxAQEREpAfGFp6rcv423HdBRERkYKzM5OjQxLbyHY0QBxUSERERAwERERExEBAREREYCIiIiAgMBERERAQGAiIiIgIDAREREYGBgIiIiMBAQERERGAgICIiIjAQEBERERgIiIiICAwEREREBAYCIiIiAgMBERERgYGAiIiIAMi12UkQBABATk6OXoshIiIi3Xl03n50HtdEq0CQm5sLAGjevPkzlEVERERiyM3Nha2trcZ9JIIWsUGtViM1NRXW1taQSCQ6K5CIiIj0RxAE5ObmokmTJpBKNY8S0CoQEBERUe3GQYVERETEQEBEREQMBERERAQGAiIiIgIDAREREYGBgIiIiMBAQERERAD+H3fXU6CkNoQ6AAAAAElFTkSuQmCC",
|
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"text/plain": [
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"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
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"data": {
|
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"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
|
"data": {
|
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"image/png": 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",
|
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"text/plain": [
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"<Figure size 640x480 with 1 Axes>"
|
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]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
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"data": {
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"image/png": 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",
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"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
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"data": {
|
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"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
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"data": {
|
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"image/png": 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HQlEacjhMQERUij0DVC4qTl7nIPCwNQev4DsT7SFgzwARUUUMAwSgdI7Aor0Jem1z4d4E3MhSar+xnpWFAfYMEBGV4jABAQAid8dDpWVuQOGNBGSf+h7FNxMhqksgdXKHw+NPo1GPUVXer9KIiNwdj22TggxRcp0pFArY2dnxkCIior8xDBCS03MRm5JZ4z35Cb8h86cPYN++J9wHvQWJtR1K7t+GOjer2veoNSJiUzKRkpGLdp6ms+yQewwQEVXEMEDYcUZe7fJBAFDlZkKxfwMcOz8H92enlL9u27Kj1ralEgHbT8uxODxAb/U+Ku4xQERUEecMEGKSMmpcPph38SDEkkK4BL9Y67bVGhExVzIepTy941bEREQVsWfAwuUVqSDXMsmv6MZlSGydUKK4gYwflqHkbhokdk6w93sKrqETIbGpeexdrlAiv0hlMlsXZ2ZmokmTJsYug4jIZLBnwMKlKfJR87RBQJWbBVFVhLt7VsOhQy80GbkczkFDkX85Bhn/XQxRrLkFEUCqIl9vNT8qDhMQEVVkGr+qkdEUqzTabxI1EFXFaNRnPFyeGgagdL6AIJHh3uGNKEy7CLtWnR/9OfWEwwRERBWxZ8DCWcu0/xOQ2JWuBLBr3bXC63ZtuwEAiu+k6OU59aHskCKGASKif5jGT2gymlbuDhC03GPt2brqC2XDA0LN/4yEv59jCvLy8lBcXMxhAiKiBzAMWDgHGxl8tJwyaO8fAgAouHauwusFV88CAGy8/Gt8v4+7vclMHiw7l4A9A0RE/zCNn9BkVKH+nth2Jq3a5YV2rbvCrt2TuH/iW4iiBjbN26P4djKyT3wLu7bdYetd/R4CUomAUD9PQ5VeazyXgIioMoYBwpggH2w9lVrjPR7Pv4PsE98i7+IBZJ/4FlJHNzh1fx6Neoyu8X1qjYixwT56rPbR8FwCIqLKGAYIvk2c0KudB05eU1TbOyCxsoFr35fh2vdlnduVSgSEtHE3qa2IOUxARFQZ5wwQAGDlkEDIJNqmEtaOTCJg5ZBAvbb5qDIzM3lIERHRQxgGCADg7WaPJXo+P2BpeAC8tUxOrG8KhYJDBERED2EYoHIju/tgVn8/vbQ1u78/RnQ3nbkCZbjHABFRZZwzQBVMC/WFh6MNFu1NgEoj1niA0cMkAmAllWBpeIBJBgGAYYCIqCrsGaBKRnb3QfTMPghpU9qdLtUyl6Dsus39NETP7GOyQQDgMAERUVUYBqhK3m722DYpCIdm9Ma4oJZo6W5faadCAUBLd3uMC2qJOR1LkPjZVKRcPGOMcnXGngEioso4TEA18m3ihMXhAViMAOQXqZCqyEexSgNrmQSt3B3KdxYUxceweV13zJs3DydOnIAg6Hdlgr4wDBARVcaeAdKZg40MAV4u6OLjigAvlwpbDAuCgOXLl+PUqVP45ZdfjFhl9URR5DABEVEVGAZIb5555hn06tUL8+fPh0ZjOkcWl8nPz0dRURF7BoiozvKLVEi4lY3f5feQcCsb+UUqY5ekFxwmIL0RBAErVqxA79698cMPP2DYsGHGLqkCnktARHWRnJ6LHWfkiEnKgDxLiQfXWAkAfNzsEerviTFBPvBtYjo7rtaGIIqi1rVjOTk5cHFxQXZ2NpydneujLjJjzz33HNLS0nD58mVIpVJjl1Pu3Llz6NatG86dO4euXbsauxwiMnE3spSI3B2P2JRMSCVCjUuty673aueBlUMCTWbDNV0/vzlMQHq3fPlyJCYmYseOHcYupQL2DBCRrqLi5AhbdxQnr5WeZ6Jtz5Wy6yevKRC27iii4uQGr1GfGAZI77p164YhQ4Zg8eLFKC4uNnY55RgGiEgXG2KSMWdXPIpUmlptvAaUhoIilQZzdsVjQ0yygSrUP4YBMohly5YhNTUVmzdvNnYp5RQKBWxtbXlIERFVKypOjjUHr+ilrTUHr+A7M+khYBgggwgICMDo0aOxbNkyFBQUGLscANxjgIhqdiNLiUV7E/Ta5sK9CbiRpdRrm4bA1QRkMIsXL0ZUVBQ+++wzvPXWW8Yuh2GAiGoUuTseKo0ITZES2SejUJx+HcXpV6EpyIFLj1Fo1GtMpfcU3UnB/ZgtKLqVBEiksG3ZEa5PT4JVo6YAAJVGROTueGybFFTfX06tsGeADKZdu3aYMGECVq1ahdzcXGOXww2HiKhayem5iE3JhFojQlOQi9wLByCqS2DvF1zte0oUN5D+zVyIahUa/9878Bj4JlRZN5G+/d9QK7MBlM4hiE3JREqG8X8G1oRhgAxqwYIFyMnJwUcffWTsUtgzQETV2nFGXn7omtTFE94zotB0zGo06jO+2vfcj90BQWoFz2GLYNe2O+z9Q+A5bDHUyhzknNlVfp9UImD7adOeO8AwQAbl4+OD1157De+//z7u3btn1FoYBoioOjFJGeUrBwRB0Hq+iqhRoyAlDvb+IZDY/DMpWebiCduWgVBeOVX+mlojIuZKhmEK1xOGATK4yMhIlJSUYM2aNUatg8MERFSVvCIV5LWc5Ke6dxuiqgjWnq0rXbNu3Prv6/8srZYrlCa9dTHDABlckyZN8MYbb+DDDz9ERoZx0rEoiuwZIKIqpSnyUbvdBAB1QekcAImtY6VrEjtHACLUhXnlr4kAUhX5dS/SwBgGqF7Mnj0bUqkUq1atMsrzlUolioqK2DNARJUUqx7hYLUahhMEVLz2SM8xMIYBqhdubm54++238dlnn+Gvv/6q9+dz90Eiqo61rPYfhVK70gOJNAWVVwloCvIACJDYOjzyc+qL6VZGDc6MGTPg6OiIZcuW1fuzGQaIqDqt3B1Q83TBymSuzSDIbFB8N7XSteK7qX9fty5/Tfj7OaaKYYDqjbOzM+bMmYPNmzfj6tWr9fpshaL0sBEOExDRwxxsZPCp5SmDgkQKu3ZPQpl0CpqifyYfqrIzUCi/BHv/kAr3+7jbw8HGdPf5YxigejV16lQ0btwYS5YsqdfnsmeAiGoS6u9Zvs8AABRcPYv8xOMoSPkfgNINhvITjyM/8Tg0JYUAgEa9RkNUFSFj51IUXD0LZdJJZOxcAqmdM5yfHFLellQiINTPs36/oFpiGKB6ZWdnh/nz52P79u34448/6u25mZmZPKSIiKo1JsinwgmFigOfInPPaih++RAAoEw8jsw9q5G5ZzU0+aW7C1q5e6PJ6FUQJFLc3bMKmb+sh6xRMzQZ8y6k9i7lbak1IsYG+9TvF1RLpttnQQ1WREQE3n//fSxcuBA7d+6sl2eW7TGgbSMRIrJM7Twd0cauCFfzZRAkUrSYotuJqzZN26HJqBXVXpdKBIS0cUc7Tyd9lWoQ7BmgemdtbY1Fixbhhx9+wPnz5+vlmdxjgIiqk5mZiRdeeAGxH0yBVM+/L8gkAlYOCdRvowbAMEBGMXbsWPj7+2P+/Pn18jyGASKqyoEDBxAYGIhjx47h+y2fYeULnfXa/tLwAHjXcnKiMTAMkFHIZDIsWbIEv/76K06cOGHw53ErYiJ6UEFBAd58800899xz6NixIy5duoQhQ4ZgZHcfzOrvp5dnzO7vjxHdTXuuQBmGATKaYcOGoVOnTpg3bx5EsbabgdYOewaIqMyFCxfQrVs3fPHFF/joo4/w66+/wsvLq/z6tFBfrB4aCBuZpMIKA11IJQJsZBK8OzQQU0Pb6bt0g2EYIKORSCRYtmwZjh49iujoaIM+i2GAiDQaDdasWYMnn3wSVlZWOHfuHKZPnw6JpPJH4cjuPoie2QchbUp7FLWFgrLrIW3cET2zj9n0CJThagIyqkGDBiEoKAjz589HWFiYQWb7i6LIYQIiC3fjxg2MHz8ev/32G95++20sX74cNjY2Nb7H280e2yYFITk9FzvOyBFzJQNyhbLCoUYCSjcUCvXzxNhgH5NfNVAdhgEyKkEQsGLFCoSFhWHfvn0IDw/X+zOUSiUKCwvZM0BkoaKiovD666/D0dER0dHRePrpp2v1ft8mTlgcHoDFCEB+kQqpinwUqzSwlknQyt3BpHcW1BWHCcjo+vXrh9DQUCxYsAAajf5P9eLug0SWKTs7G+PGjcOoUaPw7LPP4tKlS7UOAg9zsJEhwMsFXXxcEeDl0iCCAMAwQCZi+fLluHTpEr7//nu9t81zCYgsT2xsLDp16oS9e/di27Zt+Pbbb+Hq6mrsskwWwwCZhJCQEAwcOBCLFi2CSqXSa9vsGSCyHMXFxYiMjESfPn3g4+ODixcvYuzYsdx9VAuGATIZy5cvx5UrV/D111/rtd2yngGGAaKGLTExESEhIXj//fexcuVKxMTEoFWrVsYuyywwDJDJ6NKlC1588UUsWbIERUVFems3MzMTNjY2PKSIqIESRRGfffYZunbtiry8PJw+fRpz5syBVCo1dmlmg2GATMrSpUvx119/YdOmTXprs2yPAXYTEjU86enpGDx4MKZMmYIJEybg/PnzeOKJJ4xdltlhGCCT0qFDB4wdOxbLly+HUqnUS5sKhYJDBEQN0L59+xAYGIi4uDj89NNP+OSTT9gDWEcMA2RyFi1ahMzMTHzyySd6aS8zM5MrCYgakPz8fLz22msIDw9HUFAQ4uPj8a9//cvYZZk1hgEyOW3atMGkSZOwevVq5OTkPHJ73IqYqOE4e/Ysunbtiq+//hqff/459u7dC09PT2OXZfYYBsgkzZ8/H/n5+Vi3bt0jt8VhAiLzp1arsXLlSjz11FNwdnbG77//jldffZVzgfSEYYBMUosWLTBlyhSsXbu2fGlgXXGYgMg48otUSLiVjd/l95BwKxv5RXXbQ+T69evo06cPFixYgHfeeQcnT56Ev7+/nqu1bA1jH0VqkObMmYMvv/wS7733Ht599906t8NhAqL6U36oT1IG5FlVHOrjZo9Qf0+MCfKBb5OaD/URRRHbt2/H1KlT4e7ujqNHj6Jnz54Grd9SsWeATJanpydmzJiBjz/+GLdv365TGzykiKh+3MhSYtxXZ/DM+mPYdiYNaQ8FAQAQAaRlKbHtTBqeWX8M4746gxtZVa8aysrKwsiRI/HSSy9hyJAhuHDhAoOAATEMkEmbNWsWbGxssGrVqjq9v2wrYg4TEBlOVJwcYeuO4uS10iE9tebhGFBR2fWT1xQIW3cUUXHyCtePHDmCjh074tChQ/juu+/wn//8By4uLoYpngAwDJCJa9SoEWbPno0vvvgCcrlc+xsewnMJiAxrQ0wy5uyKR5FKozUEPEytEVGk0mDOrnhsiElGUVERZs2ahX79+qF9+/a4dOkShg8fbqDK6UEMA2Ty3njjDbi4uGDp0qW1fi/PJSAynKg4OdYcvKKXttYcvILOQ1/Hxx9/jLVr1+LgwYNo0aKFXtom7RgGyOQ5Ojpi7ty52Lp1K5KTk2v1Xg4TEBnGjSwlFu1N0Ft7oiiiICAc+46cxFtvvQWJhB9P9Yn/tcksvP7662jatCkWLVpUq/eVHVLk4OBgoMqILFPk7nioqhkWKEi9iMyf1+Pml69BvvYF/LXhJWTsXIaiOynVticIAqRW1tiWqN8jzEk3DANkFmxtbbFgwQJERUUhPj5e5/cpFAq4u7tzYxIiPUpOz0VsSma1cwTyfv8FquwMOHcLh+ewxXANmwy18j7ufP02ClIvVtuuWiMiNiUTKRm5hiqdqsEwQGZj4sSJaN26NRYsWKDze7jHAJH+7Tgjh1RSfcB26/86mo5eCaeuA2HrEwiH9j3RZORySOyckHPq+xrblkoEbD9d+8nC9GgYBshsWFlZYfHixfjxxx/xv//9T6f3cCtiIv2LScqoceWA1KFRpdck1nawcveBKjezxrbVGhExVzIetUSqJYYBMiujR49Ghw4ddO4d4FbERPqVV6SCvJqNgmqiKcxHcfpVWHn4aL1XrlDWeetiqhuGATIrUqkUS5cuxcGDB3Hs2DGt93OYgEi/0hT5lXYW1EXWoc8glhTCJWSE1ntFAKmK/Do8heqKYYDMztChQ9GlSxfMmzcPoljzjyUOExDpV7FKU+v33D+2DfkJv8G1XwRsmrYz2HOo7hgGyOxIJBIsX74cx48fx4EDB2q8l8MERPplLavdx8b9498g++R3aNT7JTg/Mdhgz6FHw//aZJYGDBiAkJAQzJ8/v9reAaVSiYKCAvYMEOlRK3cH6LpQ9/7xb5B9/Bu49BwNlxDdtxUW/n4O1R+GATJLgiBgxYoVOHfuHHbv3l3lPdyKmEj/HGxk8HGz13rf/RPflgaBkBFo1HN0rZ7h424PBxtZXUukOmAYILPVt29fhIWFYcGCBVCr1RWu5RepEJd8G9bN/JAjdebMZCI9CvX3rHGfgZwzu5AduwO2bZ6AXdvuKLqZWOFPTaQSAaF+nvoumbQQRG0zsADk5OTAxcUF2dnZcHZ2ro+6iHRy5swZBAcHY/v27XgyLBw7zsgRk5QB+UNnqQsAfNzsEerviTFBPvBt4mSskonMXnJ6Lp5ZX/1qnjs75qDoxuVqr7ec81ON7UfP7I12nvwe1QddP78ZBsjsPffCGCQ6dwWatodUItS8Gcrf13u188DKIYHw1qG7k4gqys3NReiSH3BX4gpBqr/ufKlEQEgbd2ybFKS3Ni2drp/fHCYgsxYVJ8e1DqMhNi5drqTtPPWy6yevKRC27iii4rjtKVFt7N+/HwEBAbjyzRJYSfX7ESKTCFg5JFCvbZJuGAbIbG2IScacXfEoVqPWv52oNSKKVBrM2RWPDTG1OxaZyBJlZWXh5ZdfxoABA+Dv749LJ2OwfGgnvT5jaXgAe+uMhNM1ySxFxcmx5uAVvbS15uAVNHa0wYju2rdJJbJEP/zwA6ZOnYrCwkJ89dVXmDBhAgRBQKtWQGZekV6+F2f39+f3oBExDJDZuZGlxKK9CVVe0xQpkX0yCsXp11GcfhWaghy49BiFRr3G1Njmwr0JCGnrwd9KiB6Qnp6OadOmYefOnXj++efx6aefwsvLq8I900J94eFog0V7E6DSiFqH6h4klQiQSQQsDQ9gEDAyDhOQ2YncHQ9VNT9wNAW5yL1wAKK6BPZ+wTq3qdKIiNwdr68SicyaKIrYtm0bHnvsMRw9ehRRUVHYvXt3pSBQZmR3H0TP7IOQNqW7fda07PDB6yFt3BE9sw+DgAlgzwCZleT0XMSmVH8EqtTFE94zoiAIAtTKbORdPKhTu2qNiNiUTKRk5HJJE1m0Gzdu4NVXX8Wvv/6K0aNH48MPP9Rp4y5vN3tsmxSE5PTc0iW+VzIgV1SxxNfdHqF+nhgb7MPvNRPCMEBmZccZeY3LBwVB141SK5NKBGw/Lcfi8IA6t0FkrjQaDTZu3IjZs2fDyckJe/fuxeDBup8lUMa3iRMWhwdgMQKQX6RCqiIfxSoNrGUStHJ34M6CJorDBGRWYpIyajUmWRtqjYiYKxkGaZvIlF29ehX9+vXDa6+9hhEjRiAhIaFOQeBhDjYyBHi5oIuPKwK8XBgETBjDAJmNvCIV5FlKgz5DrlBy62KyGGq1Gh988AECAwORlpaG6OhobNy4EY0aNTJ2aVTPGAbIbKQp8mGYPoF/iABSFfkGfgqR8SUkJKBHjx6YNWsWJk+ejPj4ePTr18/YZZGRMAyQ2ShWaRrUc4iMoaSkBMuWLUOXLl2QnZ2N48ePY/369XBw4JHBlowDOGQ2rGX1k13r6zlE9e3cuXOYOHEiEhIS8M4772DBggWwtbU1dllkAvhTj8xGK3cH1H2tgG6Ev59D1JAUFhZi7ty5CAoKgkQiQVxcHFasWMEgQOXYM0Bmw8FGBh83e6RpmURYcPUsNCWFEIsLAAAlihvITzwOALBr2w0Sq+p/APq423PGMzUoJ06cwKRJk3D9+nUsXboUs2fPhpWVlbHLIhPDn3pkVkL9PfH16VTUtLpQceBTqHP+WSKoTDwO5d9hoPlrX0HSqOowIJUICPXz1Gu9RMaSl5eHyMhIbNiwAcHBwdi9ezc6dOhg7LLIRDEMkNm4e/curh36GhrH3jXe12LK5jq1r9aIGBvMbVHJ/B06dAiTJ09GRkYGPvjgA0yfPh1SqdTYZZEJ45wBMnmFhYV477330K5dO+zd9gW8rfK07n1eW1KJgF7tPLg9Kpm1+/fvY9KkSejfvz/atGmD+Ph4zJgxg0GAtGIYIJMliiK+//57dOjQAZGRkRg/fjxSUlLwzYzBkOk5DMgkAlYOCdRrm0T16ccff8Rjjz2GnTt34ssvv0R0dDTatGlj7LLITDAMkEk6c+YMevTogREjRiAwMBCXL1/GRx99BA+P0mOGl+j5/IDFgx7j8cVklu7evYtRo0bh//7v/9C1a1ckJCTglVdeeaRzOsjyMAyQSUlLS8Po0aMRHBwMpVKJ6Oho7N27F+3bt69w38juPpjV308vz7x/bBt+XPcOiouL9dIeUX0QRRHffvstHnvsMRw6dAg7duzAvn370KJFC2OXRmaIYYBMQk5ODiIjI+Hv74+YmBh89dVXOHfuXI3bo04L9cXqoYGwkUlqPYdAKhFgI5Pg3aGB2Pz2cOzatQtDhgyBUmnYsw+I9OHmzZt4/vnnMXr0aPTr1w9//PEHRo8ezd4AqjOGATIqlUqFL774Ar6+vli/fj3eeecdJCcnY+LEiTpNehrZ3QfRM/sgpI07AGgNBWXXQ9q4I3pmH4zo7oOhQ4fip59+wm+//YYBAwYgJyfn0b8wIgMQRRGbNm1CQEAA4uLisHv3bkRFRcHTk0ti6dEIoihqPfslJycHLi4uyM7OhrOzc33URRbgwIEDePvtt5GQkICXXnoJK1aseKQuzuT0XOw4I0fMlQzIFcoKhxoJKN1QKNTPE2ODfapcNXDy5EkMHDgQ7dq1w/79++Hh4VHnWoj07fr163jllVdw+PBhTJgwAWvXroWrq6uxyyITp+vnN8MA1buEhATMmjUL+/fvR+/evbF27Vp069ZNr8/IL1IhVZGPYpUG1jIJWrk76LSz4IULF/Dss8/C3d0dhw4dQvPmzfVaF1FtqdVqbNiwAZGRkWjcuDG+/PJL9O/f39hlkZnQ9fObwwRUb9LT0/Haa6+hY8eOSE5Oxq5du/Dbb7/pPQgApVsXB3i5oIuPKwK8XHTeYrhz586IjY1FXl4eevbsiatXr+q9NmrY8otUSLiVjd/l95BwKxv5Rao6t5WYmIjevXtjxowZmDBhAuLj4xkEyCC4AyEZXGFhIdavX4+VK1dCKpVizZo1mDp1KqytrY1dWpX8/Pxw/PhxhIWFoWfPnjh06BAef/xxY5dFJqx8iCopA/KsKoao3OwR6u+JMUE+8G2ifWOrkpISrFmzBkuWLIGPjw+OHTuGXr16Gax+Ig4TkMGIoojvvvsOc+bMwc2bNzF16lQsWLAA7u7uxi5NJ+np6Xj22Wchl8uxf/9+PPnkk8YuiUzMjSwlInfHIzYlE1KJAHUNh2aUXe/VzgMrhwRWu6/FhQsXMHHiRFy8eBGzZ8/GokWLYGdnZ6gvgRo4DhOQUZ06dQohISEYNWoUOnfujISEBKxfv95sggAANGnSBDExMWjfvj369euHmJgYY5dEJiQqTo6wdUdx8poCAGoMAg9eP3lNgbB1RxEVJ69wvaioCPPnz0f37t2hUqlw5swZrF69mkGA6gXDAOnV9evXMXLkSISEhKCwsBBHjhzBnj174Oennw2C6purqysOHTqEp556CgMGDMC+ffuMXRKZgA0xyZizKx5FKo3WEPAwtUZEkUqDObvisSEmGQBw+vRpdO3aFe+99x4WLFiAs2fPGmQuDVF1GAZIL7Kzs/HOO++gffv2OHbsGLZs2YKzZ88iNDTU2KU9MgcHB+zbtw8DBw7EkCFD8M033xi7JDKiqDg51hy8ope21hy8gqGz3kdISAgcHBxw/vx5LFy40GTn01DDxQmE9EhUKhU2btyIhQsXQqlUYu7cuZg9ezYcHByMXZpe2djY4Pvvv0dERATGjh2L7OxsvP7668Yui+rZjSwlFu1NqPJaYdolpH8bWeW1puPWwKZ5+8oXRBHnhLaYv3o9Fr09lacLktEwDFCdiKKI/fv34+2330ZiYiLGjx+P5cuXN+h1+TKZDJs3b4azszOmTJmC7OxszJkzx9hlUT2K3B0PlZZhgUZ9XoKtT8cKr1k1bln1zYIAmZUNrrsHMQiQUTEMUK3Fx8dj1qxZOHjwIPr27Yvt27eja9euxi6rXkgkEnz44YdwdXXF3LlzkZ2djZUrV3JPeAuQnJ6L2JRMrffJXL2q7gWohloEYlMykZKRW+XOmET1gXMGSGd37tzB5MmT0blzZ1y/fh179uzBkSNHLCYIlBEEAUuWLMHatWuxevVqTJkyBRqNxthlkYHtOCOv9YFYupJKBGw/Ldd+I5GBsGeAtCooKMC6deuwatUqWFlZ4YMPPsDrr79u8ZOc3nrrLTg7O2Py5MnIycnB1q1bYWVlZeyyyEBikjJ0WjmQdfBzZP74HgQrG9g0bw+XkJGw9Q6o8T1qjYiYKxlYjJrvIzIUhgGqlkajQVRUFObMmYPbt29j+vTpmD9/Ptzc3IxdmsmIiIiAs7Mzxo4di7y8PHz33XewtbU1dlmkZ3lFKsizaj7eWmLjAKdu4bD1CYTEzgmqe7eRc2YX0r+ZC89hi2DX5oka3y9XKJFfpNJ562wifeIwAVXpxIkTeOqppzBmzBh069YNf/zxBz744AMGgSoMHz4cP/74Iw4dOoSBAwciNzfX2CWRnqUp8qGtT8C6aVu4hU2Gvd9TsPV+HI4dn0HTce9D6uiGezFbtD5DBJCqyNdLvUS1xTBAFVy7dg3Dhw9Hz549oVKp8Ntvv2HXrl3w9fU1dmkmbcCAAThw4ADOnj2LsLAwZGVlGbsk0qNiVd3mhEhsHWHXrjtK7qZCU1JksOcQPSqGATOkz1PRyty/fx+zZ89Ghw4dcPLkSfznP/9BXFwc+vTpo4eKLUOvXr0QExODa9euoU+fPrh9+7axSyI9sZY9wo/Kv49/0WXFySM9h+gRcHDKTOj7VLQyJSUl+PLLL7Fo0SIUFBRg3rx5ePvttxvcpkH15YknnsCxY8fwzDPPoFevXoiOjkarVq2MXRY9olbuDhAArUMFD1MX5qHgahysPNtAkNU84Vb4+zlExsAwYOJ0ORVNBJCWpcS2M2nYeipV66loQOmmQb/88gtmzZqFpKQkTJgwAcuWLYOXl5cBvxrL0KFDh0pHIHfo0MHYZdEjcLCRwcfNHmk1TCK8u/d9yJwbw7ppO0jtnFFy7xZy/rcH6vz7cP/XTK3P8HG35+RBMhr2SZkwfZ+KVubSpUvo378/Bg0ahGbNmuH8+fP46quvGAT0qFWrVoiNjYWrqyt69eqFc+fOGbskekSh/p417jNg3bgVCq6dh+LXj5EeNR/3j22DlYc3mo57H3atOtfYtlQiINTPU88VE+lOEEVRa8+XruchG9utW7ewePFi5OXlYcWKFWjdurWxS6qzDTHJejkMZVZ/P0wLLZ38d/v2bSxYsACbN2+Gr68v1qxZg0GDBnH3PAPKysrCgAED8Oeff+Knn35C7969jV0S1VFyei6eWX/MYO1Hz+zNHQhJ73T9/G4wPQPbtm1Du3btsHHjRnz77bdo3749PvroI2OXVSf6PhVt24kULF++HL6+vti9ezc+/PBDXL58GYMHD2YQMDA3NzdER0eje/fuePbZZ/Hrr78auySqI6sCBeyy0yCqH33C7oOkEgG92nkwCJBRNYgwcPbsWUREROCFF17A/fv3kZeXh1deeQUzZszA4cOHjV1erdR0KtrDci8eQNrqQZCvfbGGu0TM3xOPFes/x6uvvoqUlBRMnz6dO+XVIycnJ/z888/o378/wsPD8f333xu7JKoFjUaDzz77DIGBgcg78iWsrfQ7ri+TCFg5JFCvbRLVltmHgYKCAgwfPhydOnXCpk2b4OLiAgcHB3z44YcICwvD6NGjzWrNty6nogGAKjcT945shtRR2yZAAgSpDAMXb8PatWvh6uqqn0KpVmxtbbFz506MGDECI0eOxKZNm4xdEung+vXrCAsLw5QpUzB69Ggk/O8Ylv2ffj+4l4YH1DjZl6g+mH0YOHDgAK5fv44tW7bAxsam/HWpVIqtW7ciMzMTu3btMmKFuis7FU2n/c/3fwJb7wDYtuqivWFBgnM3lUjJ4M54xmRlZYWvv/4ar732Gl555RWsXbvW2CVRNTQaDT755BMEBgbi6tWrOHjwIL744gs4OztjZHcfzOrvp5fnzO7vjxHdffTSFtGjMPswsHPnTjz++OMICKh8wIeXlxd69+6NnTt3GqGy2tP1VLS8yzEovHEZbv2n6Nw2T0UzDRKJBJ988gnmzp2LWbNmYeHChdBhDi/Vo6tXr+Lpp5/GtGnTMG7cOFy+fBnPPPNMhXumhfpi9dBA2MgktT7JUCoRYCOT4N2hgZga2k6fpRPVmVmHgaKiIuzbtw8vvlj9mPmLL76Iw4cP4969e/VYWd3ociqaOv8+7h3eCNe+L0Pm7KFz22WnopHxCYKAlStXYvXq1Vi2bBnefPNNHoFsAjQaDT7++GN07NgRaWlpOHz4MD777DM4OVU9sW9kdx9Ez+yDkDbuAKA1FJRdD2njjuiZfdgjQCbFrMNAdHQ0cnJy8MILL1R7z5AhQ6BSqbB37956rKz2dDkVDQCyDn4KK7fmcOwysNbPKDsVjUzDO++8g88//xwbNmzAhAkToFLx/42xpKSkoG/fvnjjjTcwYcIExMfH4+mnn9b6Pm83e2ybFIRDM3pjXFBLtHS3x8ORQADQ0t0e44JaInpmb2ybFMQ5AmRyzHq7q2PHjsHb27vKIYIyXl5e6Nq1K44ePYrx48fXY3W1o8upaPmJJ6BM+R+aTfioTksCy05FC/ByqVONpH+vvvoqnJ2dMW7cOOTm5uLbb7+tMPeFDEutVuPjjz9GZGQkmjZtipiYGPTt27fW7fg2ccLi8AAsRgDyi1RIVeSjWKWBtUyCVu4O3FmQTJ5Z/wu9du0a/Pz8tH4w+vr64vr16/VUVd1oO61MU1yArEOfwfmJwZA5ukFTmAcAEDWlv01qCvMAiQwSa9tHeg7Vv1GjRsHR0RHDhg3D4MGDsXv3bp4NUQ+uXLmCiRMn4sSJE5g+fTpWrVqll//uDjYyBm4yO2YdBq5fv44uXbTPpm/dujVOnz5dDxXVnbbTyjTKHGjy7yPnf7uR87/dla7fWD8Sdr7B8Hxh/iM9h4xj8ODB2L9/PwYPHoxnnnkGP//8M5eBGoharcaHH36IefPmoXnz5vjtt994OidZPLMPA0OHDtV6X5s2bXDjxg2UlJSY7GY72k5Fkzq6osmolZVezz69E0U3LsNz2GJI7GveKpqnopm2vn374siRI3juuefQt29fHDx4EE2aNDF2WQ1K2aFcp0+fxhtvvIEVK1awF4YIZjyBMDs7G1lZWWjTpo3We1u3bg2NRgO53HSX1klFFVyt1dVeF2TWsG3ZsdIfqYMrIEhg27IjrBu3qvEZPBXN9HXv3h3Hjh3D3bt30atXL5P+N2tO1Go13n//fXTq1AmZmZk4duwY1q9fzyBA9DezDQNlPyRbtmyp9d6y8+TT0tIMWVKdJCQkYMaMGWjevDlST/4MiIYZ0+epaOYjICAAx48fh0qlQs+ePZGUlGTskszan3/+iR49euCdd97B1KlTceHCBfTs2dPYZRGZFLMNAyUlJQCg08xrW1vbCu8xtvz8fGzZsgUhISF4/PHH8c0332DixImIWj4NEGr3v8Rj0Ez4vK19UyW1RsTYYK5rNhdt2rRBbGwsnJyc0KtXL1y4cMHYJZkdlUqFd999F126dMG9e/dw/PhxrF27Fvb2XNZH9DCzDQPm6Pfff8eUKVPg5eWFiRMnwtHREd9//z3++usvvP/+++gfFIhe7TxqvaOZNjwVzTw1b94cR48eRcuWLdG3b1+cOHHC2CWZjYSEBISEhCAyMhJvvPEGLly4gJCQEGOXRWSyGAYMLCcnB1988QW6deuGrl27Ys+ePZg+fTquXbuGgwcPYtiwYbC2ti6/f+WQQMj0HAZ4Kpr58vDwwOHDh9G5c2f0798fBw8eNHZJJk2lUmHVqlXo2rUrcnNzceLECbz33nuws7MzdmlEJo1hwABEUcSZM2cwadIkeHl5YcqUKWjWrBl+/PFHyOVyLF++HK1bt67yvd5u9lgSXv0mSnXBU9HMm7OzM3799VeEhoZi8ODBZnPwVn2Lj49HcHAw5s+fj5kzZ+L3339HcHCwscsiMgsMA3p07949fPzxx+jUqROCg4MRHR2Nf//730hLS8O+ffsQHh4OmUz7bH6eikYPs7Ozw65duzBkyBAMGzYMW7duNXZJJqOkpATLly/HE088gYKCApw6dQqrV68unytERNqZ7Tqzsq71goKC8teq2wa07B5D7DEgiiJiY2OxceNG7Ny5EyqVCuHh4XjvvffwzDPPQCqV1qndaaG+8HC0waK9CVBpRJ2ONS4jlQiQSQQsDQ9gEGhArK2tsWPHDri4uGDChAnIzs7Gm2++aeyyjOrSpUt4+eWXcenSJfz73//GwoULGQKI6sBsw4CPT+mH3P+SbuCQIgExSRmQZykrbNojAPBxs0db+0JYuXuXLzHUh7t37+I///kPNm3ahKSkJLRr1w6LFy/G+PHj0bRpU708Y2R3H/Ro64HI3fGITcmEVCLUGArKroe0ccfKIYEcGmiApFIpPv/8c7i4uGDGjBnIzs7GggUL6nRWhTkrKSnBqlWrsGzZMrRv3x6nT59Gt27djF0WkdkSRB0OU8/JyYGLiwuys7Ph7FzzLnf15UaWEk+9+RFkLQK1fkgKECFCQI+27lg9tGOdPyQ1Gg2OHDmCL7/8Env27IEgCBg6dCheeeUV9O3bFxKJ4UZdktNzseOMHDFXMiBXVBF63O0R6ueJscE+XDVgAURRxOrVqxEZGYm33noLa9assZhAcOHChfKTBefOnYv58+fzcCeiauj6+W2WYSAqTo5FexNQVFwCSHTvhi/rPl8SHoCRteg+v337NrZs2YJNmzbh+vXr6NChA1555RWMGzcOHh4edfkSHglPRaMyn3zyCaZNm4ZJkybhiy++qPOwlDkoLi7GihUrsHLlSjz22GPYsmULunbtauyyiEyarp/fZvcJsiEmGWsOXin9Sy2CAFC68Y5aI2LOrnhk5hVhWqhv9feq1di/fz82btyIn376CdbW1hg+fDi2bduGkJAQo/4WxlPRqMzUqVPh7OyMCRMmICcnB9u3b6+wVLWhOH/+PCZMmIA//vgD8+bNQ2RkZIP8OomMxazCQFSc/J8g8IjWHLyCxo42lSbYyeVyfPXVV9i8eTP++usvdOrUCR9++CHGjBmDRo0a6eXZRPo0btw4ODk5YcSIEXj++efxww8/NJhd9oqKirB8+XKsWrUKjz/+OOLi4tC5c2djl0XU4JjNMMGNLCXC1h1FkarqvfuL71zF/RPfovj2FWgK8yF1bgyHx/rAOWgIJFZVzy62kUkQPbMPmjpZ4aeffsLGjRuxf/9+ODg4YNSoUXjllVfQrVs3ixmLJfN2+PBhPP/88+jSpQt++uknuLiYd+/R2bNnMWHCBCQlJWH+/PmYO3euyZ46SmSqdP38Npt9BiJ3x0NVzSTB4kw57myfDVV2Olz7vYLGLy6EQ4deyD7xLTJ/fL/aNlVqDYa9vws+Pj4YOnQoFAoFvvzyS9y6dQtffvklunfvziBAZqNfv36Ijo7G5cuXERoairt37xq7pDopKipCZGQkgoODYWVlhbNnz2LhwoUMAkQGZBbDBMnpuYhNyaz2ev4fRyGqitF4SCSsXJsBAOxadYI6/x7yLuyHujAPUlvHSu9Ti8AduKL/sJfw1qTR6NSpk8G+BqL6EBwcjKNHj6J///7o3bs3Dh06hBYtWhi7LJ3FxcXh5ZdfRnJyMhYvXox33nmHIYCoHphFz8COM/IaD+8R/p5IKLGpOE4qsXEABAkESfWZRyoArcNeYhCgBqNjx46IjY2FUqlEz549kZKSYuyStCosLMScOXMQHBwMOzs7nDt3DvPnz2cQIKonZhEGYpIyatxHwPHxfpDYOCDrwKcouX8HmiIllCn/Q+6F/XDq+i9IrKvfkUwtAjFXMgxRNpHR+Pr64vjx47C1tUXPnj0RHx9v7JKqdfr0aXTp0gXr1q3D8uXLcfr0aQQG8mAtovpk8mEgr0gFeZayxntkjZqg6UtrUJyZhlufR+DGuuG4u3MpHB9/Gq5hk7U+Q65QIr9Ipa+SiUyCt7c3YmNj4eXlhT59+uD06dPGLqmCgoICzJ49Gz169ICTkxPOnz+PuXPn6nR+BxHpl8mHgTRFPrQtd1DdT0fGzqWQ2jnD4//mosno1WgUOgF5lw9D8etHWp8hAkhV5OulXiJT0rhxYxw5cgSPPfYYwsLCcPjwYWOXBAA4efIkOnfujI8//hirVq3CyZMnERCg39M6iUh3Jh8GiqtZSvige0e3QlNUAM/hS+HQvgdsfR6HS9ALcOv3CvIvHUKhXHsXqS7PITJHjRo1wsGDB9GzZ08MHDgQP/74o9FqUSqVePvtt9GzZ0+4urri999/x7///W/2BhAZmcmHAWuZ9hKL06/DysO70twA62alOwyW3E3Ty3OIzJW9vT327t2L8PBwvPDCC9i+fbvO780vUiHhVjZ+l99Dwq3sOg+pHT9+HJ07d8ann36K9957DydOnECHDh3q1BYR6ZfJx/FW7g4QgBqHCqSObijJTIOmuAASa7vy14tuJpZed6r5/ADh7+cQNWTW1taIiorC5MmTMW7cOOTk5GDKlClV3lt+MFYNp4GG+ntiTJAPfJvUfDCWUqnEvHnz8OGHHyI4OBj79u2Dv7+//r4wInpkJh8GHGxk8HGzR1oNkwiduz+Puz8sR3rUfDh3/z9I7JxRfCsJ2af/CysPH9i1faLGZ/i42/OgH7IIUqkUmzZtgouLC6ZOnYrs7GzMmTOnfHOtG1lKrUdmiwDSspTYdiYNW0+lolc7j2qPzD527BgmTpyImzdvYs2aNXjzzTcb9GFKRObKLD4BQ/09se1MWrXLC+19g9Bk1Apkn/4v7kV/CU2RElJnDzh1fg7OTw2DIK1+rbJUIiDUz9NQpROZHEEQsHbtWjRq1AiRkZG4f/8+Vq9eje/O3sCivQnlO33WtJz3wesnrykQtu5ohdNA8/PzMXfuXHz88cfo0aMHfvnlF/j5+Rn2CyOiOjOLMDAmyAdbT6XWeI9ty46wbdmx1m2rNSLGBut+nDFRQyAIAhYuXAgXFxfMmDED54s8kWzXvk5tPXwa6OPCTUyaNAm3b9/G+vXrMW3aNPYGEJk4swgDvk2c0KudB05eU2j9baU2pBIBIW3c0c6z5jFPoobqzTffRIrYBPvS9fM9sObgFSh++RBdmjfHgQMH0K5dO720S0SGZRZhAABWDglE2Lqjeg0DMomAlUO40xlZrhtZShxUuABQo3Rq4D80xQW4f2wblInHoS7IhZV7C7gEvwiHx/pU254oimgycDq2vR2Klh6VzwMhItNkNuvpvN3ssSRcv5uSLA0PqHLSE5Gl+Oc00Mpnf9zdtRL58Yfh0mMUmgxfAptmvsjc+z7yE36rtj1BECBKpJj/Y4LhiiYivTObngEAGNndB5l5RVhz8MojtzW7vz9GdOdcAbJcNZ0GWnA1DoWpv8MjfHZ5T4Bty45QZd/FvZjNsO/Qq/yAsIepNSJiUzKRkpHLITgiM2E2PQNlpoX6YvXQQNjIJDWeZFgVqUSAjUyCd4cGYmooxzLJstV0GqjyyikI1nawb9+zwuuOHcOgzstC0a2aA7lUImD7abneaiUiwzK7MACU9hBEz+yDkDbuAKA1FJRdD2njjuiZfdgjQISaTwMtvpsGK/cWlX77t2rcCgBQklnzrp5qjcjTQInMiFkNEzzI280e2yYF/bNT2pUMyBVV7JTmbo9QP0+MDfZhlyXR37SdBqopyIWsUdNKr0vsnP6+nqP1GWWngXJDLyLTZ/bfpb5NnLA4PACLEYD8IhVSFfkoVmlgLZOglbsDfxARVUGX00Ah1NTjpn2Iruw00AAvl1pURkTG0KA+KR1sZPzBQ6QDbad0SuycqvztX1OQW35dH88hItNglnMGiOjRaDul07pxK5Qo/oKoUVd4veRuKgDAyqOlXp5DRKaB36lEFqjsNNDq2Ps9BbG4AMqkExVez7t8BFJHN9h4aT9ngKeBEpmPBjVMQES60XYaqF3bbrBt1QVZBz6FpkgJK1cv5P9xFIXXzsF98NvV7jHwIJ4GSmQ++J1KZKG0nQbaeGgk7h/9GtmxO6AuzIWVW4sKmxDVhKeBEpkXhgEiC6XtNFCJtR3cnnkVbs+8Wuu2eRookXnhnAEiC1V2Gmhtd/LURioR0KudB/f1IDIjDANEFmzlkEDI9BwGeBookflhGCCyYDwNlIgAhgEiizeyuw9m9de+VFAXPA2UyDxxAiERYVqoLzwcbbBobwJUGrHaFQZVkUoEyCQCloYHMAgQmSn2DBARgNqfBoq/dyfkaaBE5o9hgIjKlZ0GemhGb/zLzxklWbcq3SMA8LARkXP+Z3wysCm2TQriHAEiM8dhAiKqxLeJE552ycTHX07G1bS/UCBzrHAaqLVEhLd3BA7utMW/ej1h7HKJ6BGxZ4CIqpSYmAgXFxe09vZCgJcLuvi4IsDLBQ42MlhZWWH8+PHYtm0bCgsLjV0qET0ihgEiqlJiYiLat28PQah67sCkSZNw79497N69u54rIyJ9YxggoiqVhYHq+Pn5oXfv3ti0aVM9VkVEhsAwQESViKKoNQwAQEREBI4cOYJr167VU2VEZAgMA0RUSXp6OrKzs7WGgRdeeAHOzs7YvHlzPVVGRIbAMEBElSQmJgKA1jBgb2+PMWPGYMuWLVCpVPVRGhEZAMMAEVWSmJgImUyGtm3bar03IiICt27dwv79++uhMiIyBIYBIqokMTERbdu2hZWVldZ7u3btii5duuCrr76qh8qIyBAYBoioEl0mDz5o0qRJ2LdvH+7cuWPAqojIUBgGiKiS2oaB0aNHw8rKCv/5z38MWBURGQrDABFVoFQqkZaWVqsw4OrqihdffBGbNm2CKOp+4iERmQaGASKq4MqVKwC0ryR4WEREBFJSUnDs2DFDlEVEBsQwQEQVlC0r9Pf3r9X7evfujXbt2nEiIZEZYhggogoSExPRpEkTuLq61up9giBg0qRJ+O9//4v79+8bpjgiMgiGASKqoLaTBx80fvx4lJSU4JtvvtFzVURkSAwDRFTBo4SBZs2aYdCgQTy8iMjMMAwQUTmNRoOkpKQ6hwGgdM+B33//HefPn9djZURkSAwDRFROLpejsLDwkcLAgAED0KxZM04kJDIjDANEVE7XA4pqIpPJMGHCBOzYsQNKpVJfpRGRATEMEFG5xMRE2NrawsfH55HamThxIrKzs/HDDz/oqTIiMiSGASIql5iYCH9/f0gkj/ajoW3btggNDeVQAZGZYBggonKPspLgYRERETh69Gj5joZEZLoYBoionD7DwNChQ+Hq6orNmzfrpT0iMhyGASICANy7dw/p6el6CwO2trYYO3Ystm7dipKSEr20SUSGwTBARACApKQkAI+2kuBhkyZNQnp6On755Re9tUlE+scwQEQA/llW6Ofnp7c2O3XqhG7dunFHQiITxzBARABKw0DLli1hb2+v13YjIiLwyy+/4ObNm3ptl4j0h2GAiADod/Lgg0aNGgVbW1ts3bpV720TkX4wDBARgNI5A/7+/npv19nZGcOGDcPmzZuh0Wj03j4RPTqGASJCSUkJUlJSDNIzAJQOFVy7dg2//fabQdonokfDMEBEuHbtGlQqlcHCQI8ePeDv78+JhEQmimGAiPRyQFFNBEFAREQEdu3ahaysLIM8g4jqjmGAiJCYmAhnZ2c0bdrUYM946aWXoFarsWPHDoM9g4jqhmGAiMpXEgiCYLBneHp6Ijw8HBs3boQoigZ7DhHVHsMAERlsWeHDIiIiEB8fj7Nnzxr8WUSkO4YBIgsnimK9hYH+/fujRYsWnEhIZGIYBogsXEZGBu7fv18vYUAqlWLChAn49ttvkZ+fb/DnEZFuGAaILJyhVxI8bOLEicjLy8N///vfenkeEWnHMEBk4RITEyGVStG2bdt6eV6rVq0QFhbGoQIiE8IwQGThEhMT0bZtW1hbW9fbMyMiInDixAn8+eef9fZMIqoewwCRhauvyYMPev755+Hu7o6vvvqqXp9LRFVjGCCycMYIAzY2Nhg3bhy+/vprFBcX1+uziagyhgEiC6ZUKpGWllbvYQAAJk2ahLt372Lfvn31/mwiqohhgMiCJScnQxRFo4SBxx9/HMHBwZxISGQCGAaILFjZskJ/f3+jPH/SpEk4cOAA5HK5UZ5PRKUYBogsWGJiIjw9PeHm5maU548YMQL29vbYunWrUZ5PRKUYBogsmDEmDz7IyckJI0eOxFdffQW1Wm20OogsHcMAkQUzdhgASvcckMvlOHz4sFHrILJkDANEFkqj0SApKcnoYSAoKAiPPfYYJxISGRHDAJGFunHjBgoKCoweBgRBQEREBPbs2YPMzEyj1kJkqRgGiCxUfR9QVJNx48YBALZt22bkSogsE8MAkYVKTEyEra0tfHx8jF0KPDw8MGTIEGzatAmiKBq7HCKLwzBAZKESExPh5+cHqVRq7FIAlO458Mcff+D06dPGLoXI4jAMEFkoU1hJ8KCwsDC0bNmShxcRGQHDAJGFMrUwIJFIMHHiRERFRSE3N9fY5RBZFIYBIgt0//593Llzx6TCAABMmDABSqUS3333nbFLIbIoDANEFigpKQmAaawkeJC3tzeeffZZ7jlAVM8YBogsUNmyQj8/PyNXUllERATOnDmDy5cvG7sUIovBMEBkgRITE+Ht7Q0HBwdjl1LJ4MGD0bhxY04kJKpHDANEFsjUJg8+yNraGuPHj8fXX3+NoqIiY5dDZBEYBogskCmHAaB0z4GsrCzs2bPH2KUQWQSGASILU1JSgpSUFJMOA+3bt0ePHj04VEBUTxgGiCzMtWvXoFKpTDoMAKUTCQ8dOoTr168buxSiBo9hgMjCmNIBRTUZNmwYnJycsGXLFmOXQtTgMQwQWZjExEQ4OTmhWbNmxi6lRg4ODhg1ahQ2b94MtVpt7HKIGjSGASILUzZ5UBAEY5eiVUREBG7evIkDBw4YuxSiBo1hgMjCmPpKggd169YNHTt2rDCRML9IhYRb2fhdfg8Jt7KRX6QyYoVEDYPM2AUQUf0RRRFJSUkYPHiwsUvRiSAIiIiIwL9XfIB/fxeHM/I8yLOUEB+8B4CPmz1C/T0xJsgHvk2cjFUukdlizwCRBbl79y7u3btnNj0DN7KUOGHVBU0mbMB/L6Qj7aEgAAAigLQsJbadScMz649h3FdncCNLaYxyicwWwwCRBTGXlQQAEBUnR9i6o4i7kQMAEFHzHAe1pjQmnLymQNi6o4iKkxu8RqKGgsMERBYkMTERUqkUbdu2NXYpNdoQk4w1B6/U6b1qjQi1RsScXfHIzCvCtFBfPVdH1PCwZ4DIgiQmJqJNmzawsbExdinVioqT1zkIPGzNwSv4jj0ERFqxZ4DIgpj6SoIbWUos2ptQ5bWiW0m4H7sdRTcTAVGEdTNfNOo9DrYtHquxzYV7ExDS1gPebvaGKJmoQWDPAJEFMfUwELk7HirNw1MEgaLbV3BnxxyIJcXwGPQWPAa9BVFVjPRv56Ho5p81tqnSiIjcHW+okokaBIYBIgtRUFCA1NRUkw0Dyem5iE3JLJ8I+KD7x7ZDYusAzxFLYO/3FOz9Q9BkxDJIrO1w78jmGttVa0TEpmQiJSPXUKUTmT2GASILkZycDFEUTTYM7Dgjh1RS9YqBopt/wtYnEBIr2/LXJDb2sPV+HEU3/4QqL6vGtqUSAdtPc+4AUXUYBogsRNmyQn9/fyNXUrWYpIwqewUAQFSXQJBaVb4gK32t5G5qjW2rNSJirmQ8aolEDRbDAJGFSExMROPGjeHu7m7sUirJK1JBXsNGQVbuPii6lQRR1JS/JmrUKL6VBADQFGgfApArlNy6mKgaDANEFsKUJw+mKfIr7Sz4IOcnBkGVdRNZBz+HKjcTqpy7yNr/CVTZf/+2r8OhSyKAVEW+Xuolami4tJDIQiQmJqJbt27GLqNKxSpNjdcdO/WHuiAH2Se/Q97vvwAAbJq3h3PQUOSc3gmpo269HdqeQ2SpGAaILIBGo0FSUhLGjh1r7FKqZC3T3knpEvwinLs9j5J7NyGxtofMxROK/RsgWNnCumk7vT2HyBIxDBBZgL/++gtKpdJkhwlauTtAAGocKgAAQWYF68atAACq7Azk/xkLx07PQmKlfUdF4e/nEFFlDANEFsDUDyhysJHBx80eadVMIiy+mwpl0klYN/WFILNCSfo1ZJ/eCStXLzTqrVtvh4+7PRxs+COPqCr8ziCyAImJibCxsUHLli2NXUq1Qv09se1MWpXLCwWpFQrTLiH37D5oSgogc24Mpy4D4Bw8DBJr2ypaq0gqERDq52mIsokaBIYBIguQmJgIPz8/SKVSY5dSrTFBPth6KrXKa1ZuzdF0zOo6t63WiBgb7FPn9xM1dAwDRA1UfpEKqYp8FKs0uChXwLfD48YuqUa+TZzQq50HTl5TVLv5UF1IJQJC2rijnaeT3tokamgEURS1ftfl5OTAxcUF2dnZcHZ2ro+6iKgOktNzseOMHDFJGZBnKR+akCeipZsDQv09MSbIB75NTO/D8UaWEmHrjqJIj0sAbWQSRM/sw1MLySLp+vnNMEDUANzIUiJydzxiUzIhlQg1/mZddr1XOw+sHBJoch+SUXFyzNmlv1MG3x0aiBHdOURAlknXz28uuiUyc1FxcoStO4qT1xQAoLWLvez6yWsKhK07iqg40zrAZ2R3H8zq76eXtmb392cQINIB5wwQmbENMclYc/BKnd6r1ohQa0TM2RWPzLwiTAv11XN1dTct1BcejjZYtDcBqr/r1JVUIkAmEbA0PIBBgEhH7BkgMlNRcfI6B4GHrTl4Bd+ZYA9B9Mw+CGlTutVwdccblym7HtLGHdEz+zAIENUC5wwQmaGaJtoVp1/D/WNfo/huGjTKbAgya8jcmsOp6yA4Ph5abZumPNGufGLklQzIFRUnRgoo3VAo1M8TY4N9uGqA6AGcQEjUgI376ky1S/AK0y4h/89jsGkRAJmTOzQlhchP+A3KP4/BpddYNOoxsso2y5bgbZsUZOjyH8mDSyatZRK0cnfgzoJE1dD185vfQURmJjk9F7EpmdVet23ZEbYtO1Z4zb7dk7idnY68iweqDQNqjYjYlEykZOSa9G/XDjYyBHi5GLsMogaFcwaIzMyOM3Kt4+dVkdo5QxBq/paXSgRsP21acweIyPAYBojMTExShk6z60VRA1GjhlqZjdzzP6Pg+nk4B79Y43vUGhExVzL0VSoRmQkOExCZkbwiFeTVnOz3sKwDnyLvwv7Sv0hlcAt7FU5dBmh9n1yhRH6RiuPwRBaE3+1EZiRNkQ9dV9y7PDUcjp2ehUZ5H8qU/yHr0OfQlBTCJWhoje8TAaQq8jkuT2RBGAaIzEhxLfbsl7l4QuZSemyvXdvuAID7R/8Dx8B+kNrX/EFfm+cQkfnjnAEiM2Itq/u3rE0zP0Cjhur+HYM+h4jMD7/jicxIK3cH1H4dQanCtEuAIIGsUdMa7xP+fg4RWQ4OExCZEQcbGXzc7JFWwyRCxa8fQ2JjD+tmfpA6NIJamQNl0nEo/4yFc9BQrUMEPu72nDxIZGH4HU9kZkL9PbHtTFq1ywttmrdH3qVo5MUfhqYoHxIrW1h5tob7oLdr3I4YKN1nINTP0xBlE5EJYxggMjNjgnyw9VRqtdcdOz4Dx47P1KlttUbE2GAe8ENkaThngMjM+DZxQq92HnXahbAmUomAXu08THorYiIyDIYBIjO0ckggZHoOAzKJgJVDAvXaJhGZB4YBIjPk7WaPJeEBem1zaXiASR5fTESGxzBAZKZGdvfBrP5+emlrdn9/jOjOuQJElooTCInM2LRQX3g42mDR3gSoNKJOBxiVkUoEyCQCloYHMAgQWTj2DBCZuZHdfRA9sw9C2rgDgNaJhWXXQ9q4I3pmHwYBImLPAFFD4O1mj22TgpCcnosdZ+SIuZIBuUJZ4VAjAaUbCoX6eWJssA9XDRBROUEURa39ijk5OXBxcUF2djacnZ3roy4iekT5RSqkKvJRrNLAWiZBK3cH7ixIZGF0/fzmTwaiBsrBRsZjiIlIJ5wzQEREZOEYBoiIiCwcwwAREZGFYxggIiKycAwDREREFo5hgIiIyMIxDBAREVk4hgEiIiILxzBARERk4RgGiIiILBzDABERkYVjGCAiIrJwDANEREQWjmGAiIjIwjEMEBERWTiGASIiIgsn0+UmURQBADk5OQYthoiIiPSn7HO77HO8OjqFgdzcXACAt7f3I5ZFRERE9S03NxcuLi7VXhdEbXEBgEajwa1bt+Dk5ARBEPRaIBERERmGKIrIzc2Fl5cXJJLqZwboFAaIiIio4eIEQiIiIgvHMEBERGThGAaIiIgsHMMAERGRhWMYICIisnAMA0RERBaOYYCIiMjC/T8byyn1bVsZBwAAAABJRU5ErkJggg==",
|
|
"text/plain": [
|
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"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
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"data": {
|
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"image/png": 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",
|
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"text/plain": [
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"<Figure size 640x480 with 1 Axes>"
|
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]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
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"data": {
|
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"image/png": 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dM3QYJiM0OhX9Vx/D6ZtyAKiyOLP0+OmbcvRffQyh0al6j5GI6g+TATIL/v7+OH/+PNRqtaFDMXrrohLx/q44FKk0NdqhATxKCopUGry/Kw7rohL1FCER1TcmA2QW/P39kZeXh+vXrxs6FKMWGp2KVYcTdDLWqsMJ2M47BERmgTUDZBa6d+8OkUiEc+fOoWPHjoYOxyilZSuxaE98hcey9q6G4srvlV7bdOoq2LRo/9TrH++JR0BrN9YQEJk4JgNkFpycnNChQwecO3cO06dPN3Q4RmlheBxUlSwLOD87AY7dXn7q9cydSyCSWsG6WdsKr1NpBCwMj8Pm13vpNFYiql9MBshssIiwcokZeTiRlFXpcatGzYBGzcq9VpgaB01BLpwDxkMkllR4nVoj4ERSFpIy89jbgciEsWaAzIa/vz8uXbqEwsJCQ4didLaeTa2ye+OT8i8dBiCCfecBWs+TiEXY8idrB4hMGZMBMhv+/v5QqVSIjY01dChGJ+p6Zo12DmgKFVBePw1bry6wathU67lqjYCohMy6hkhEBsRkgMyGn58fbGxsuFTwhPwiFVKzlTW6RvHXMQiqIjhUcVegVKpcCUWRqjbhEZERYDJAZsPa2hrdunVjMvCEFLkCNesmAORfOgJxAyfYtQuo1vkCgGS5osaxEZFxYDJAZoVFhE8rVmlqdn7mLRTfS4S97wsQSa30Ng8RGQ8mA2RW/P39kZiYiOzsbEOHYjSspTX7MX9UOAg4dBmo13mIyHjwp5fMir+/PwDg/PnzBo7EeHi52qO6+wgEVQkU8Udh3awdrBt7VXsO0d/zEJFpYjJAZqVNmzZo2LAhlwoeY28jhayaHQKViWegKcyr8V0Bmasd7G3YtoTIVDEZILMiEolYN1CBQB/3avUZyL90BCIrW9h3eL7aY0vEIgS2c69LeERkYEwGyOyUJgOCUNMaevM1uZesWn0Gmkz4FLJ3dkJsU/1nDag1Aqb0ltUlPCIyMCYDZHb8/f2RkZGBtLQ0Q4diNNo2cUTfNm417kJYFYlYhL5t3NiKmMjEMRkgs9OzZ08A4FLBE5YF+UEqFgE6vGMiFYuwLMhPZ+MRkWEwGSCz07RpU8hkMiYDT2jmZI1md04CIt3dHVgywpePLyYyA0wGyCyxiLA8jUaDf/zjHzj500oMaanWyZjvDvTB+J6sFSAyB0wGyCz5+/vj/PnzUKt188FnygRBwNy5c/HTTz/hp59+wtezR2DFaD/YSMU1riGQiEWwkYqxcrQfZge20VPERFTfmAyQWfL394dCocBff/1l6FAM7sMPP8S6deuwYcMGTJ48GQAwoacMkfP6IcDbFQCqTApKjwd4uyJyXj/eESAyM+wSQmape/fuEIvFOHfuHDp16mTocAxm+fLlWL58OVatWoUZM2aUO+bhYofNr/dCYkYetp5NRVRCJlLlynIPNRLhUUOhwHbumNJbxl0DRGZKJFRjM3Zubi6cnZ2Rk5MDJyen+oiLqM78/Pzw7LPPYsOGDYYOxSDWrl2LkJAQLFq0CIsXL67WNYoiFZLlChSrNLCWiuHlas/OgkQmrLqf3/wpJ7NlyUWEGzduREhICObPn49FixZV+zp7Gyl8mzvrMTIiMkasGSCz5e/vj8uXL6OgoMDQodSrsLAwvPHGG5gxYwZWrVoFkQ63EhKReWIyQGbL398farUaMTExhg6l3uzfvx+TJk3ChAkT8PXXXzMRIKJqYTJAZqtTp06wtbW1mKWCo0ePYsyYMRg6dCg2bdoEiURi6JCIyEQwGSCzZWVlhWeeecYikoGzZ89i+PDh6Nu3L7Zv3w4rKytDh0REJoTJAJk1SygivHTpEgYPHoyuXbsiPDwcNjY2hg6JiEwMkwEya/7+/rhx4wbkcrmhQ9GL69evY8CAAWjdujX27t0Le3t7Q4dERCaIyQCZNX9/fwBAdHS0gSPRveTkZPTv3x+NGzfGwYMH4ezMLYFEVDtMBsiseXt7w8XFxeyWCu7cuYOXXnoJNjY2iIyMhJubm6FDIiITxqZDZNZEIpHZ1Q1kZWVhwIABKC4uxsmTJ9GsWTNDh0REJo53BsjslSYD1ei8bfRycnIwaNAgZGVl4ffff4enp6ehQyIiM8BkgMyev78/7t+/j5SUFEOHUicKhQJDhw7FrVu3cOTIEbRr187QIRGRmWAyQGavZ8+eAGDSSwWFhYUYNWoULl26hIMHD6Jz586GDomIzAiTATJ77u7u8PLyMtlkoKSkBOPHj8fJkyexd+/esh0SRES6wgJCsgimWkSoVqsxbdo0HDhwAL/99hv69etn6JCIyAzxzgBZBH9/f1y4cAEqlcrQoVSbIAiYOXMmtm/fjl9++QUvv/yyoUMiIjPFZIAsgr+/P5RKJa5evWroUKpFEAS88847+O9//4sff/wRY8aMMXRIRGTGmAyQRXjmmWcgFotNZqlg8eLFWL16NdavX49p06YZOhwiMnNMBsgi2Nvbo1OnTiaRDKxatQpLlizBihUrMGvWLEOHQ0QWgMkAWQxTKCLcsGED3n33XXz44Yf417/+ZehwiMhCMBkgi+Hv748rV65AoVAYOpQKbdmyBbNmzUJISAg+/fRTQ4dDRBaEyQBZDH9/f6jVasTExBg6lKeEh4dj+vTpePXVV7F69WqIRCJDh0REFoTJAFkMX19fNGjQwOiWCg4dOoTx48djzJgx+O677yAW88eSiOoXf+uQxZBKpejevbtRJQPHjx9HUFAQBg4ciM2bN0MikRg6JCKyQEwGyKIYUxFhdHQ0hg0bht69eyMsLAzW1taGDomILBSTAbIo/v7+uHXrFu7fv2/QOK5cuYLBgwfD19cXe/bsQYMGDQwaDxFZNiYDZFFKH/ITHR1tsBgSExPRv39/yGQy7N+/Hw4ODgaLhYgIYDJAFsbLywtubm4GWypITU3FSy+9hEaNGuHQoUNo1KiRQeIgInockwGyKCKRyGB1A/fu3cNLL70EiUSCI0eOwN3dvd5jICKqCJMBsjilyYAgCPU2p1wux4ABA6BUKvH777+jZcuW9TY3EVFVmAyQxfH394dcLsetW7fqZb7c3FwMHjwY9+7dQ2RkJLy9vetlXiKi6mIyQBanZ8+eAFAvSwVKpRLDhg1DYmIiDh8+jA4dOuh9TiKimmIyQBbHzc0N3t7eek8GioqKMHr0aFy8eBH79+9Ht27d9DofEVFtSQ0dAJEh6LuIUKVSYeLEiTh69Cj27duHgIAAvc1FRFRXvDNAFsnf3x8XL15ESUmJzsfWaDR47bXXEBERgbCwMLz00ks6n4OISJeYDJBF8vf3R0FBAeLj43U6riAImD17NrZs2YLNmzdj+PDhOh2fiEgfmAyQRerWrRskEolOlwoEQcC//vUvbNiwAd9//z0mTJigs7GJiPSJyQBZJDs7O/j5+ek0GVi6dCm++OILfPnll3j99dd1Ni4Rkb4xGSCLpcsiwi+//BIff/wxPv30U8ydO1cnYxIR1RcmA2Sx/P39ER8fj/z8/DqN89///hfz5s3De++9hw8//FBH0RER1R8mA2Sx/P39odFocOHChVqP8csvv2DGjBmYNWsWVqxYAZFIpMMIiYjqB5MBslgdO3aEvb19rZcK9uzZg6lTp2Lq1KlYu3YtEwEiMllsOkQWSyKRoHv37jh37hwURSokyxUoVmlgLRXDy9Ue9jaV/3hERkYiODgYo0aNwg8//ACxmHk1EZkuJgNksRIz8mDVexLOKWzQafEhPP4MQxEAmYsdAn3cMbmXDG2bOJYdO3XqFEaOHIkXX3wR27Ztg1TKHyMiMm0ioRrPcc3NzYWzszNycnLg5ORUH3ER6U1athILw+NwIikLYgjQoPLb+xKxCGqNgL5t3LAsyA/3k68hMDAQXbt2xYEDB2BnZ1ePkRMR1Ux1P7+ZDJBFCY1OxaI98VBpBKg1VX7rl5GIRZCIgNyoHyArSUNkZCR/FojI6FX385v3N8lirItKxKrDCbW6Vq0RoBIE2D7/GsY+58FEgIjMCqueyCKERqfWOhEoVbpb4OuTadgenaqLsIiIjAKTATJ7adlKLNqj2wcSfbwnHmnZSp2OSURkKFwmILO3MDwOqkrqAzRFSuScDkVxxi0UZ9yApiAXzs9ORMO+k7WOqdIIWBgeh82v99JHyERE9Yp3BsisJWbk4URSVqXFgpqCPOTFHoKgLoFdu97VHletEXAiKQtJmXm6CpWIyGAs8s5ATRvMkOnaeja1bHtgRSTO7vB4OxQikQhqZQ7yLx2u9tgSsQhb/kzF4hG+ugqXiMggLOYTMDEjD1vPpiLqeiZSs5XVbjBDpi3qeqbWLYR1aSGs1giISsjEYjAZICLTZvbJwOMNZir7C1EAkJKtxOazKdh0JrmswYyHCxvKmLL8IhVS9VzklypXQlGk4p0lIjJpZl0zEBqdiv6rj+H0TTkAVNlkpvT46Zty9F99DKHcPmbSUuQKVL+tUO0IAJLlCj3PQkSkX2b750xdG8yoNQLe3xWHrPwivBXYVsfRUX0oVmnMah4iIn0xyzsDumgwU2rV4QQ2mDFR1tL6+faur3mIiPTF7O4MaGswU5xxEw+P/4zi+ynQKHMgklpD6tICjs8Mg0OnwErH/HhPPAJau7GGwMR4udpDBOh1qUD09zxERKbM7JIBrQ1mCvMhcXRDww79IHV0haakEIr4o5Dv/TdUORlo+OyECq9jgxnTZG8jhczFDil6LCKUudqxeJCITJ5Z/RYrbTBTGVvPzrD17FzuNbs2/ribk4H8S4cqTQYebzDTxp3bDk1JoI87Np9N0Vo8WnDjPDQlhRCKCwAAJfI0KK6dBAA0aN0DYivbCq+TiEUIbOeu+6CJiOqZWSUDVTWYqYykgRM0iofaz2GDGZM0uZcMm84kaz1HfuhrqHMzy75WXjsJ5d/JQIuZP0DcsOJkQK0RMKW3TGexEhEZilklA1U1mCklCBpAEKApzIfy2kkU3LoIlwEztV7DBjOmqW0TR/Rt44bTN+WVfm+0nPVjjceViEUI8HblnSIiMgtmkwzUpMFM9qGvkR978NEXEilc+r8Jx24vV3kdG8yYpmVBfui/+liN7xhpIxWLsCzIT2fjEREZktnsiapJgxnnPuPQdNpquAcvgkPnAcg+sgE5Z3dVeR0bzJgmDxc7fKLj5Z0lI3y5u4SIzIbZJAM1afwidXaHTbO2aNC6J1wHzYZD10F4eOwnqJU5Op2HjMeEnjK0L07UyVjvDvTB+J6sFSAi82E2yUBdGr/YNGsHaNRQPbyn13nIcLZs2YJD/5mHQY3ksJGKIRHX7AFFErEINlIxVo72w+zANnqKkojIMMxm8bsuDWYKUy4DIjGkDZtqPY8NZkxTbGwsZsyYgWnTpmHDu1OR/qCg7OFVYhGgrZSgdHdKgLcrH15FRGbLbJKB6jSYkR9YC7GNHaybtYPEviHUylwor5+E8q8TcOo1GhI7Z61zsMGM6cnOzsbo0aPRoUMHfPPNNxCJRPBwscPm13shMSMPH/y4H2eSc2Ht0vzpx1q72iGwnTum9JZx1wARmTWz+mSrqsGMTYv2yL8cify436EpUkBsZQsr91ZwHfaO1nbEABvMmCK1Wo1JkyYhNzcXUVFRaNCgQbnjbZs4wj3tGBqePIZzFy8hWa5AsUoDa6kYXq72TPyIyGKY1W+7qhrMOHQeAIfOA2o1NhvMmJ5FixbhyJEjOHjwIDw9PSs8JzY2Fl27doW9jRS+zbXfGSIiMldmVQ1X2mCmpsVhVRI0KLh1Ee+++QqSk5N1Ozbpxe7du/HZZ59h2bJlGDCg4gRQrVbj0qVL6NatWz1HR0RkXMwqGQAeNZiR6jgZsLGSYvEQH5w7dw4dOnTA0qVLUVhYqNM5SHeuXbuGV155BWPGjMF7771X6XlJSUlQKpXo2rVr/QVHRGSEzC4Z0FeDmX++Mg7Xrl3DnDlz8Mknn8DPzw8HDhzQ6TxUd3l5eQgKCkLLli2xceNGiESVJ4YxMTEAwDsDRGTxzC4ZAB41mFkwsJ1Oxnq8wYyjoyM+//xzXL58GTKZDEOGDEFQUBCXDoyEIAiYPn06bt++jfDwcDg6at8BEBMTAw8PD7i6utZThERExskskwEAeCuwLVaM9tNLg5kOHTogMjISoaGhXDowIitXrsSuXbuwefNm+Pj4VHl+afEgEZGlM9tkAHh0hyByXj8EeD/6y6+qpKD0eIC3KyLn9dPaclYkEmH8+PHllg46derEpQMDOXz4MD788EN89NFHGDlyZJXnC4KAmJgYLhEQEQEQCYJQZdO+3NxcODs7IycnB05OTvURl84lZuRh69lURCVkIlWu1HmDmb/++gtvvfUW/vjjD4waNQqrV6+Gl5eXrsInLZKTk9G9e3f4+/tj7969kEgkVV5z584dtGjRArt27UJQUFA9RElEVP+q+/ltMcnA4xRFKr00mBEEAWFhYZg/fz7kcjk+/PBDLFiwALa2tjqImipSUFCAZ599Fjk5OYiOjoaLi0u1rtu3bx+GDRuGW7duMWkjIrNV3c9vs14mqExpg5luskbwbe6ss05zIpEI48Y92nUQEhLCpQM9EwQBM2fOxLVr17Br165qJwLAo+LBhg0bVtqMiIjIklhkMqBvDg4OWLlyJS5fvgxPT0/uOtCTr7/+Gj///DO+//57dOnSpUbXlhYPatt6SERkKZgM6FHproPt27cjOjqauw506NSpU3j77bcxd+5cTJ48ucbXs3iQiOh/mAzoGZcOdO/u3bsYO3YsAgIC8MUXX9T4+pycHNy8eZPbComI/sZkoJ5UtHQwatQoLh3UUHFxMcaOHQuxWIwdO3bAysqqxmNcunQJADsPEhGVYjJQzx5fOjh//jw6dOiATz/9lEsH1TR//nxER0fj119/RZMmTWo1RkxMDGxsbNC+fXsdR0dEZJqYDBjAk0sHS5Ys4dJBNfz0009Yv3491q5di969e9d6nNjYWHTq1KlWdxWIiMwRkwEDenzpwMvLi0sHWly8eBEzZ87Ea6+9hhkzZtRpLBYPEhGVx2TACHTo0AFHjhzh0kElsrKyMHr0aHTq1Anr16+v03bA4uJiXL16lcWDRESPYTJgJCpbOti/f7+hQzMotVqNiRMnQqFQ4Ndff61zN8f4+HiUlJTwzgAR0WOYDBiZJ5cOhg4datFLBx999BH++OMPbN++HTJZ5Q+Oqq7Y2FiIRCJ07txZB9EREZkHJgNGqnTpYMeOHRa7dPDrr79ixYoV+Pzzz/Hiiy/qZMyYmBi0bdsWDg4OOhmPiMgcMBkwYiKRCMHBwRa5dHD16lVMnz4d48aNw/z583U2LosHiYiexmTABFja0kFOTg6CgoLg6emJH374QWfPD9BoNLh06RKLB4mInsBkwIRYwtKBRqPBtGnTkJGRgfDwcJ3ezr958yby8vJ4Z4CI6AlMBkzM40sHc+fONbulg+XLl+O3337Dli1b0LZtW52OHRsbCwC8M0BE9AQmAybKwcEBK1asQFxcHFq1amUWSwcHDx7E//3f/2HRokUYNmyYzsePiYlBs2bNat3GmIjIXDEZMHHt27fH4cOHTX7p4ObNm5g0aRKGDBmCjz/+WC9zsHiQiKhiTAbMgKkvHSiVSowePRouLi7YsmULxGL9fFvGxsZyiYCIqAJMBsyIKS4dCIKAf/zjH0hMTER4eDgaNmyol3kyMjJw9+5d3hkgIqoAkwEz9PjSwYULF4x66WDt2rXYtm0bfvjhB/j5+eltntLiQSYDRERPYzJgpkqXDv76669ySwf79u0zdGhljh8/jnfeeQfz58/HhAkT9DpXTEwMHB0d0apVK73OQ0RkipgMmLknlw6GDRuGkSNH4tatWwaN6/bt2wgODsZzzz2HlStX6n2+mJgYdO3aVW/1CEREpoy/GS3E40sHFy9eRMeOHbFkyRKDLB0UFRVh7NixsLa2xvbt2yGVSvU+J4sHiYgqx2TAgjy5dLB06VKdLR0oilSIv5ODmNQHiL+TA0WRqtJz3377bVy8eBG//vor3N3d6zx3VfLz85GYmMh6ASKiSuj/TzIyOqVLB9OnT8ecOXMwbNgwjBgxAl9++WWN1tQTM/Kw9Wwqoq5nIjVbCeGxYyIAMhc7BPq4Y3IvGdo2cQQA/Pjjj9iwYQO+//57+Pv76/aNVeLy5csQBIHJABFRJUSCIAhVnZSbmwtnZ2fk5OTAycmpPuKieiIIAnbu3In58+cjKysLH3zwAd577z3Y2tpWek1athILw+NwIikLErEIak3l30Klx/u2ccP41gLGDn4B06ZNw7fffquPt1Oh9evXY968ecjPz4e1tXW9zUtEZGjV/fzmMoGFq2jpwNfXt9Klg9DoVPRffQynb8oBQGsi8Pjx0zeyMHvfXbQdPB1r1qzR7ZuoQkxMDHx9fZkIEBFVgskAAfjf0sHly5fh7e1d4a6DdVGJeH9XHIpUmiqTgCepBQASK+R1GI7vT6fqOHrtWDxIRKQdkwEqp3TXQVhYWLldB5tP38Cqwwl1GlskEgEAVh1OwPbo+kkISkpKEBcXx3oBIiItWEBITxGJRBg7diwGDx6MpUuXYvma79Akzw+QVnybXVNcgIfHN0N57STUBXmwcm0J595jYd+xX6VzfLwnHgGt3eDhYqevtwEAuHbtGoqLi5kMEBFpwWSAKlW6dJDQfCAu3lFUet79XctQfDcBDV+YDiuXFlBcPYqsPV8AggB73xcqvEalEbAwPA6bX++lp+gfiYmJAQB06dJFr/MQEZkyJgOkVWJGHi7eLQBEFa8oFdyIRmFyDNxGvFt2J8DWszNUOffxIOpH2HXoC5FY8tR1ao2AE0lZSMrMQxt3R73FHxsbi9atW3MXDBGRFqwZIK22nk2FRCyq9Lgy4QxE1g1g1/65cq87dO4PdX42iu5UXmcgEYuw5U/91g6UtiEmIqLKMRkgraKuZ2rdOVB8PwVWri2f+uvfqrEXAKAkK6XSa9UaAVEJmTqJsyKCICA2Npb1AkREVWAyQJXKL1IhNVup9RxNQR7Etk/f5hc3cPz7eK7W61PlSq2ti+siJSUFDx8+ZDJARFQFJgNUqRS5AtXqJiCqfBnhUWPiygkAkuWVFyfWRWnxIJcJiIi0YzJAlSpWaao8R9zAscK//jUFeWXHdTFPbcTGxsLd3R3NmjXTy/hEROaCyQBVylpa9beHdWMvlMjTIWjU5V4vuZ8MALBy89TJPLVRWjwo0nrngoiImAxQpbxc7au4yQ/YtesDobgAyuunyr2ef+UPSBxcYNO8ndbrRX/Pow8xMTGsFyAiqgb2GaCnCIKAixcvIiwsDIKiPeDQuNJzG7TuAVuvbsg+9DU0RUpYNWoOxdVjKLx5Aa7D36mwx8DjZK52sLfR/bdhVlYW0tPTmQwQEVUDkwEC8CgBOH/+PMLCwrBz507cunULrq6u6DDlY9xGY2hb1W88eiEeHvsZOSe2Ql2YByuXluWaEFU6p0aNwpsXcOqUNQICAnR6Oz82NhYAiweJiKqDyYAFEwQB586dK0sAUlJS4ObmhtGjRyM4OBj9+vVDcnYhBnx5XOs4YusGcBnwJlwGvFmj+UViCbLP7sZz37yL7t27Y+7cuRg3bhxsbGzq8rYAPEoG7O3t0aZNmzqPRURk7lgzYGE0Gg3OnDmD+fPnw9PTE71798bmzZvx8ssv4/fff8fdu3fx7bffon///rCyskLbJo7o28ZNaxfC2pCIRejbxg3Xo49j//79cHNzwyuvvAJPT08sXrwY9+7dq9P4MTEx6Ny5MyQS7csURETEZMAiaDQanDp1Cm+//TY8PT0REBCAbdu2Yfjw4YiKisKdO3fwzTff4MUXX4RU+vTNomVBfpDqOBmQikVYFuQHsViMl19+GQcPHsRff/2FMWPGYNWqVZDJZJg6dSqio6NrNT6LB4mIqo/JgJlSq9U4fvw4QkJC4OHhgeeeew47duzAqFGjcOzYMdy+fRvr16/HCy+8UOVfzx4udvhkhK9O41sywvepxxe3b98e69evR3p6OlasWIGTJ0/C398fAQEB2L59O0pKSqo1tlKpxPXr15kMEBFVE5MBM6JWq3H06FG89dZbaNmyJfr164ddu3YhODgYJ06cQHp6OtauXYvnn3++xrfPJ/SUYcFA7dsEq+vdgT4Y31NW6fGGDRti/vz5SEpKwu7du2Fra4sJEyagVatWWLZsGe7fv691/Li4OGg0GhYPEhFVk0gQhCo7zubm5sLZ2Rk5OTl8FKyRUalUOH78OHbu3Ildu3YhIyMDHh4eGDt2LMaOHYvevXtDLNZdzhcanYpFe+Kh0ghaH2D0JIlYBKlYhCUjfLUmApWJi4vDmjVrsGXLFgiCgMmTJyMkJARdunR56txvv/0Ws2fPRn5+PmxtbWs8FxGRuaju5zeTAROkUqlw9OjRsgTg/v37kMlkCA4OxtixY+Hv76/TBOBJadlKLAyPw4mkLEjEIq1JQenxvm3csCzI76mlgZqSy+X4/vvvy5YT+vXrh7lz52LEiBFldztmzpyJU6dOIS4urk5zERGZOiYDZqakpARRUVHYuXMnwsPDkZWVBS8vr7IEoGfPnvXedjcxIw9bz6YiKiETqXJluYcaifCooVBgO3dM6S1DG/eqn1FQEyUlJdi9eze++uornDp1Cp6ennjrrbfw+uuvY/DgwfDx8cHPP/+s0zmJiEwNkwEzUFJSgt9//x1hYWHYvXs3srOz4e3tXZYAdO/e3Wj67iuKVEiWK1Cs0sBaKoaXq71eOgtW5MKFC1izZg1CQ0MhkUhQXFyMBQsWYMWKFfUyPxGRsWIyYKKKi4sRGRmJsLAw/Pbbb3jw4AHatGmD4OBgBAcH88E7WmRkZODTTz/F+vXrAQADBgzA3Llz8fLLL+t12YSIyFhV9/ObvyGNQFFREfbu3Ytp06bB3d0dQ4cOxenTpzFr1izExsYiISEBy5YtQ7du3ZgIaNGkSRMEBAQAeFRE+PDhQwwbNgw+Pj5Ys2YNcnOfftQyERExGTCYwsJC7NmzB1OnToW7uzuGDx+Oc+fOISQkBJcvX8a1a9ewdOlSdOnShQlADcTExMDT0xMzZszA2bNncebMGfTo0QPvvPMOWrZsiblz5yIpKcnQYRIRGRUuE9SjgoICHDp0CGFhYYiIiEBeXh46duxYtgTg66vbxj6WaMCAAXBwcEB4eHi512/fvo1vvvkG3377LeRyOYYMGYK5c+eif//+TLaIyGxZ5DKBokiF+Ds5iEl9gPg7OVAUqQwdEpRKJXbt2oWJEyfC3d0dQUFBuHz5MhYsWID4+HjEx8dj8eLFTAR0QBCEStsQt2jRAkuXLkVqaip++OEHpKenY+DAgfD19cWGDRugUCgMEDERkXEw+TsDZdvbrmciNbuC7W0udgj0ccfkXjK0baLb7W2VUSgUOHDgAMLCwrBv3z4oFAp07ty5bBdA+/bt6yUOS5OWlgaZTIbffvsNI0aM0HquIAg4fvw41qxZg927d8PJyQlvvPEGZs+eDS8vr/oJmIhIz8x+N4EhG99UJD8/H/v370dYWBj2798PpVKJbt26lXUCbNdON618qXIREREYMWIEUlNT4eHhUe3rkpOT8fXXX+P7779Hbm4uRo4ciblz5+L555/nEgIRmTSzTgbq2hL3kxG+mFCLlrhPysvLw759+xAWFoYDBw6goKAA3bt3L0sA2rRpU+c5qPqWLFmCr776CllZWbX6EFcoFNiyZQvWrFmDq1evokuXLggJCcGkSZPY1piITJLZJgProhKx6nBCncdZMLAd3gpsW+PrcnNzERERgZ07d+LgwYMoLCxEz549yxIAb2/vOsdGtTN69Gjk5uYiMjKyTuMIgoDIyEisWbMG+/btg6urK2bMmIFZs2ahRYsWOoqWiEj/zLKAMDQ6VSeJAACsOpyA7dGp1To3JycHmzdvxsiRI+Hu7o4pU6bg7t27+PTTT3Hr1i2cO3cO7733HhMBA6useLCmRCIRBgwYgIiICCQkJGDy5MlYu3YtvLy8MGHCBJw5cwbVyKGJiEyGySQDadlKLNoTr9MxP94Tj7RsZYXHHj58iJ9++gnDhw+Hu7s7XnnlFdy/fx/Lly9HSkoK/vzzTyxYsIDFZkbiwYMHSE5O1vlji9u0aYMvv/wS6enp+M9//oMLFy4gICAA/v7+2LJlC4qKinQ6HxGRIZjMMsHUH87i9E15pTUCRXeu4+GJLSi6fQ0QBFg3a4uGz0+FbcuOlY4pEYsQ4O2Kza/3AgBkZ2fjt99+w86dO3HkyBGUlJTg2WefRXBwMEaPHl2jojSqX0ePHkVgYCDi4+PRsWPl/8/rSqPR4MCBA1izZg0OHz6MJk2a4J///CdmzpyJJk2a6G1eIqLaMKuagcSMPAz48nilx4vuJuDeln/Bplk7OPmPAgQBOWd/RXHGTTSdtAw2LTpoHX+m7D6O7dmOyMhIqNVqPPfcc2UJANeITcPq1auxcOFC5OXlQSqtnwckXb16FevWrcNPP/0ElUqF8ePHY+7cuejevXu9zE9EVBWzqhnYejYVEnHl1eEPj2+B2NYe7uM/gV27PrDzCUCT8Z9CbN0AD/74UevYgkaNL3b9iYKCgrLbwcePH8ecOXOYCJiQ2NhYdO7cud4SAQDo2LEjvv76a6Snp2PZsmU4ceIEevTogWeffRY7duxASUlJvcVCRFQXJpEMRF3P1LqFsOj2X7CV+UFs9b/tX2IbO9h6dELR7b+gys+u9FqRWIIOL43F0aNHMXv2bDRv3lynsVP90FXxYG00atQI77zzDpKSkrBr1y5YW1tj/Pjx8Pb2xvLly5GVlWWQuIiIqsvok4H8IhVSKynyKyWoSyCSWD19QProtZL7yVqvv51TZBSti6l2CgsLcfXqVZ0XD9aURCJBUFAQoqKiEBsbi0GDBuGTTz6Bh4cH3njjDVy+fNmg8RERVcbok4EUuQJVFTVYucpQdOc6BEFT9pqgUaP4znUAgKYgT+v1AoBkOXvTm6r4+Hio1WqD3RmoSJcuXfDf//4X6enp+Pjjj3Hw4EF06dIFgYGB2L17N9RqtaFDJCIqY/TJQLFKU+U5Tt2HQZV9G9mHN0CVlwVV7n1kH1wPVU7moxOq0Y2uOvOQcYqJiYFYLIafn5+hQ3mKm5sbPvjgA9y6dQuhoaEoLi5GUFAQ2rRpg3//+994+PChoUMkIjL+ZMBaWnWIDl0GouEL06GIj8Lt9dNx++tXUSJPhVOv0QAAiYOrTuYh4xQbGwsfHx/Y2en+mRO6YmVlhfHjx+PUqVM4d+4cnnvuOXzwwQdo0aIFZs2ahWvXrhk6RCKyYEb/Cejlao/qdJl37j0WHiHb0Oz1dWjxzx/RdOoqaArzIbKyhXVT7c8IEP09D5kmQxYP1kbPnj2xefNmpKam4t1338WuXbvQoUMHDBo0CPv374dGw7tURFS/jD4ZsLeRQlbNpwyKpFawbuwFqbM7VDmZUPx1Ag5dBkFsZaP1OpmrHext6m9LGumOWq3GpUuXDF48WBtNmzbF4sWLkZKSgp9//hlyuRxDhw5F+/btsXbtWuTlaa91ISLSFaNPBgAg0Mdda5+B4vvJeHhyG5RJ0ShIjkXu2V24u+ltWDVqjobPT9E6tkQsQmA7d12HTPXkxo0bUCgUJnVn4Ek2NjaYOnUqoqOjcerUKXTr1g3z5s1DixYt8Pbbb+PGjRuGDpGIzJxJJAOTe8m09hkQSaxQmHIZ8r3/QWbYYuTFHoBjt5fRZNJyiK0baB1brREwpXfdH2dMhhETEwMAJnln4EkikQgBAQHYvn07kpOT8dZbb2HLli1o27Ythg8fjsjISD4giYj0wiTaEQNVP5ugNp58NgGZng8++ABbtmxBWlqaoUPRi4KCAmzbtg1fffUV4uLi0LFjR4SEhGDKlCmwt2edCxFpZ1btiAFgWZAfpFqWCmpDKhZhWZDxbUej6jO14sGaatCgAV5//XVcunQJUVFRaNeuHWbNmgUPDw+89957SElJMXSIRGQGTCYZ8HCxwycjfHU65pIRvvCoZnEiGafY2FizWCKoikgkwgsvvIDw8HAkJSXhtddew3fffQdvb2+MGTMGx48f5xICEdWaySQDADChpwwLBrbTyVjvDvTB+J6sFTBld+/eRUZGhlnfGahIq1atsGrVKqSnp2PdunW4evUq+vXrh2eeeQYbN25EYWGhoUMkIhNjUskAALwV2BYrRvvBRirWusOgIhKxCDZSMVaO9sPsQO29B8j4mVPxYG04ODjgn//8J+Lj43Ho0CE0b94cr732Gjw8PPDRRx/hzp07eo9BUaRC/J0cxKQ+QPydHD7jg8hEmUwB4ZPSspVYGB6HE0lZkIhFWgsLS4/3beOGZUF+XBowE8uWLcMXX3yB7OxsiKrRctoSJCYmYu3atWV3CMaOHYu5c+eid+/eupsjIw9bz6Yi6nomUrOV5Z4dIgIgc7FDoI87JveSoW0TR53NS0Q1V93Pb5NNBkqV/WJKyESqvIJfTK52CGznjim9ZWjjzl9M5iQ4OBhZWVmIiooydChGJzc3Fxs3bsTatWtx48YN+Pv7IyQkBMHBwbC2tq7VmEzAiUyPxSQDj1MUqZAsV6BYpYG1VAwvV3t2FjRjbdu2xbBhw7B69WpDh2K01Go1Dhw4gK+++gqRkZFo2rQp/vnPf+LNN99EkyZNqj1OaHQqFu2Jh0oj1Gh7r0QsglQswicjfDGBNTpE9c7sthZWh72NFL7NndFN1gi+zZ2ZCJix3NxcJCUlWVzxYE1JJBIMGzYMR44cQXx8PEaOHIkVK1ZAJpNh2rRpuHjxYpVjrItKxPu74lCk0tS4z4daI6BIpcH7u+KwLiqxtm+DiPTMrJIBshyXLl0CYLnFg7XRsWNHbNiwAenp6Vi6dCmOHj2K7t27o2/fvggLC4NK9XTxX2h0KlYdTtDJ/KsOJ2B7dKpOxiIi3WIyQCbj8cr1w9FXYevgjA4dOhg6LJPj4uKCd999Fzdu3MCvv/4KsViMcePGoVWrVlixYgXkcjmARzUCi/bE63Tuj/fEIy1bqdMxiajuzKpmgMyPtsp1CAI8Xe1Zua4DsbGxWLNmDbZt2waRSIQpU6bgfqfxiMssrnBpoDDlMjJ+WVjhWE2nroJNi/YVHmMLcKL6ZZEFhGQ+WLluGPfv38d3332Hr7eGw2rkJ5WeV5oMNOz3Cmxlncsds2rsWeUDwiLnPc/dPUT1wCILCMk8hEanov/qYzh989Ht6qqK1kqPn74pR//VxxDKdelaa9y4MT788EO8tmwjxKi6WFDaqDlsWrQv96+qREAiFmHLn/x/RGRMmAyQUWHlunE4npgFDfTTyEmtERCVkKmXsYmodrj3joyGrivXGzvY8PkTtZBfpEJqNYv8sg9vQNZvn0NkZQObFu3hHDABth5VP1AsVa6EokjF7b9ERoJ3Bsgo1KRyPe/SIaSsGIbUf4/Veh4r12snRa6ocoFAbGMPxx4j4Dp4NppMWgaX/jOgzs1CxrYPUHDzQpVzCACS5QqdxEtEdcdkgIzCwvA4qKqxLKDKy8KDP36ExMGl6nM1AhaGx+kiPItSrNJUeY5109Zw6T8Ddu36wNajExw6D0DTqV9A4uCCB1EbdTYPEdUPJgNkcIkZeTiRlFWtGoHsg+th6+ELW6+qOw+qNQJOJGUhKTNPF2FaDGtp7X4tiG0d0KBNT5TcT4ampEhv8xCR7vGnkQxu69nUaj2OOv9KFArTrsBl4Kxqj83K9ZrzcrWvfeng3zuVq3qKpOjveYjIODAZIIOLup5Z9fZBxUM8+P17NHphOqRObtUem5XrNWdvI4WsFr0a1IX5KLgRDSt3b4ik2p+MKHO1Y/EgkRHhTyMZVHUr17MPfw0rlxZw6DakxnOwcr3mAn3csflsSqVJ2v09X0Dq1BjWTdtA0sAJJQ/uIPfcbqgVD+E6dJ72wQUNWtkoodFoIBbz7xEiY8CfRDKo6lSuK66dgjLpHFxenlPl7eeKsHK95ib3kmm9W2Pd2AsFNy9CfmAtMkI/wsPjm2Hl5oGmU79AA6+u2gcXibH1k5nw8fHBV199hZycHN0GT0Q1xj+VyKCqqijXFBcg+8g3cOo+HFIHF2gK8wEAgubRE/Y0hfmAWAqxtW2d5qHy2jZxRN82bjh9U15hUuDcJxjOfYJrPK5ELEIfb1fMjtiBNWvWYMGCBfjoo48wbdo0vPXWW2jfvuJnGhCRfvHOABlUVRXlGmUuNIqHyD0XjrQvJ5T9U149BqGkEGlfTkBWxKo6z0NPWxbkB2k1CjtrQioWYXmQH/r06YNffvkFKSkpmDdvHsLCwtChQwcMGjQIe/fuhUbD5I2oPvFBRWRQiiIVOi0+VOlSgaAqRtHta0+9nvPnThSlXYF78GKI7Zxg3dir0jlEAK4sHsSagVoIjU7F+7t016th5Wi/CrtCFhUVYceOHVi7di2io6Ph7e2Nt956C6+++ioaNmyos/mJLA0fVEQmoarKdZHUGraenZ/6J7FvBIjEsPXsrDURAFi5XhcTesqwYGA7nYz17kCfSttD29jYYOrUqTh37hz+/PNP9O7dG//617/QsmVLzJo1C1evXtVJDERUMSYDZHCBPu7V6jNQGxKxCIHt3PUytqV4K7AtVoz2g41UXOP/TxKxCDZSMVaO9sPswDbVuqZXr17YunUrUlJSsGDBAuzatQu+vr7o378/9uzZA7VaXZu3QURacJmADC4xIw8Dvjyut/Ej5z2PNu6OehvfUqRlK7EwPA4nkrIgEYu07jYoPd63jRuWBfnBoxZ9C0oVFxdj586dWLNmDc6ePYtWrVph9uzZeO2119CoUaNaj0tkCar7+c1kgIzC1B/OVlq5XlsSsQgB3q7Y/HovnY1Jj5K3rWdTEZWQiVS5sly9hwiPlmUC27ljSm+ZzpOwc+fOYe3atdi+fTusrKwwdepUzJkzB76+VT8pkcgSMRkgk5KWrUT/1cdQpMMtgDZSMSLn9avTX6WknaJIhWS5AsUqDaylYni52tdLfca9e/fw3XffYcOGDbh79y5efPFFzJkzB8OHD4dEItH7/ESmggWEZFI8XOzwyQjd/nW3ZIQvEwE9s7eRwre5M7rJGsG3uXO9FWo2bdoUH3/8MZKTk7Ft2zYUFBQgKCgIbdq0wRdffIHs7Ox6iYPIXDAZIKNRX5XrZD6sra0xceJEnD59GtHR0Xj++efx0UcfoWXLlpgxYwbi4vgIa6LqYDJARqW+K9fJfPTo0QM//fQT0tLSsHDhQuzbtw+dO3dGYGAgdu3aBZVKZegQiYwWkwEyOhN6yhA5rx8CvF0BAIJG+1ay0qQhwNsVkfP68Y6AhXN3d8dHH32E5ORkhIaGoqSkBGPGjEHr1q2xcuVKyOVyQ4dIZHRYQEhG7ZU5/8Lx2xp4Bgyp98p1Mh8XL17E2rVr8csvv0AkEmHy5MmYM2cOunTpYujQiPSKuwnI5AmCAE9PT4wcORJr1641WOU6mY/79+/j+++/xzfffIP09HQ8//zzmDNnDkaNGgWplN9LZH64m4BMXlxcHNLS0jB8+HAAhqtcJ/PRuHFjLFy4ELdu3UJYWBgEQUBwcDC8vb2xfPlyZGVlGTpEIoNgMkBGKyIiAg4ODujXr5+hQyEzI5VKMXbsWBw/fhwxMTEYMGAAlixZgpYtW+K1115DTEyMoUMkqldMBshoRUREYNCgQbCxsTF0KGTGunbtih9++AFpaWlYvHgxIiMj8cwzz6Bv374ICwtDSUmJoUMk0jsmA2SUMjIycO7cubIlAiJ9c3Nzw/vvv4+bN29i586dkEgkGDduHFq1aoXPPvsM9+/fN3SIRHrDZICM0r59+wAAL7/8soEjIUsjlUoxZswYHD16FJcuXcLLL7+MpUuXwsPDA9OnT8eFCxcMHSKRzjEZIKMUERGB3r17w92djx8mw+ncuTO+//57pKenY8mSJYiKikKPHj3w7LPPlvUwIDIHTAbI6BQWFuLIkSNcIiCj4erqivfeew83btzArl27YGNjg4kTJ8LLywuffvopMjIyDB0iUZ0wGSCjc/ToUSgUCiYDZHSkUimCgoLwxx9/4PLlyxg2bBiWL18OmUyGV155BdHR0YYOkahWmAyQ0YmIiICXlxefUU9Gzc/PD99++y3S09Px2Wef4cSJE/D390efPn3wyy+/oLi42NAhElUbkwEyKoIgICIiAsOHD4dIVLMHFREZgouLCxYsWICkpCTs3r0b9vb2mDRpEjw9PbFkyRLcu3fP0CESVYnJABmVy5cvIy0tDcOGDTN0KEQ1IpFIMHLkSERGRuLKlSsYNWoUVq5cCZlMhilTpuDcuXOGDpGoUkwGyKiw6yCZA19f37LnH6xYsQJnzpxBr1690KtXL2zdupVLCGR0mAyQUdm7dy+7DpLZaNSoEebPn4+EhATs2bMHzs7OmDJlCmQyGRYtWoS7d+8aOkQiAEwGyIiw6yCZK4lEguHDh+Pw4cO4evUqxowZg3//+9+QyWSYNGkS/vzzT1TjAbK1pihSIf5ODmJSHyD+Tg4URSq9zUWmiY8wJqPx448/4o033kBGRgYaN25s6HCI9Orhw4fYtGkT1q1bhxs3bqBHjx4ICQnBuHHjdHJnLDEjD1vPpiLqeiZSs5V4/Be9CIDMxQ6BPu6Y3EuGtk0c6zwfGafqfn4zGSCjERQUhMzMTJw6dcrQoRDVG41GgwMHDmDt2rU4dOgQ3N3d8eabb2LmzJlo3rx5jcdLy1ZiYXgcTiRlQSIWQa2p/Fd86fG+bdywLMgPHi52dXkrZISq+/nNZQIyCoWFhTh8+DB3EZDFEYvFGDp0KA4ePIhr165h3LhxWL16NTw9PTFx4kScPn262ksIodGp6L/6GE7flAOA1kTg8eOnb8rRf/UxhEan1u3NkMliMkBGISoqCkqlkvUCZNF8fHywdu1a3L59G//+979x4cIFPPvss+jRowd++uknFBYWVnrtuqhEvL8rDkUqTZVJwJPUGgFFKg3e3xWHdVGJdX0bZIKYDJBR2Lt3L7sOEv3NyckJISEhuHbtGvbv348mTZpg+vTp8PDwwEcffYT09PRy54dGp2LV4QSdzL3qcAK28w6BxWHNABmcIAjw9PTEqFGjsGbNGkOHQ2SUEhISsH79emzcuBFKpRJjxozBnDlzIOvQDQO+PI4ileapawqSL0ERH4Wi29egzrsPsY09rJu2hfNzE2HTtE2lc9lIxYic1481BGaANQNkMkq7DnKJgKhy7dq1w1dffYX09HR8+eWXiI2NRd++ffHi+/9FiUpd4TX5MfuhysmEU48RcA9ejEb9Z0CtfIh7P7+DguRLlc6l0ghYGB6nr7dCRoh3Bsjgli5dipUrVyIrK4vNhoiqSaPR4Kfdh/FJdMWJAACoFQ8hsW9Y/rriAtz+9h+wdvNEk4mfaZ0jct7zaOPObYemjHcGyGRERESw6yBRDYnFYqRIPSARV/5ArycTAQAQWzeAlasMqrwsreNLxCJs+ZO1A5aCyQAZ1L1799h1kKiWoq5n1njngKZQgeKMG7Byk2k9T60REJWQWZfwyIQwGSCD2r9/P0QiEYYMGWLoUIhMSn6RCqnZyhpfl33kGwglhXAOGF/lualyJVsXWwgmA2RQERER6NOnD9sPE9VQilyBmj7N4OHxzVDEH0Wjl97QupuglAAgWa6oVXxkWpgMkMGUdh3kEgFRzRVXsJVQm4cntyHn9HY0fP4VOHWv/s9cTech08RkgAymtOsgWxAT1Zy1tPq/vh+e3Iack9vg/NwkOAeM09s8ZLr4f5kMJiIigl0HiWrJy9Uele8j+J+Hp355lAgEjEfD5ybVaA7R3/OQ+ZMaOgCyTIIgYO/evRg1ahREour8SiOix9nbSCFzsUOKliLC3LO7kHNiK2y9u6NB654oun2t3HGbFu21zuHh0gD2NvyYeFxGRgYyMzMhlUrRuHFjuLm5GTokneD/ZTIIdh0kqrtAH3dsPptS6fZCZdI5AEDhzQu4d/PCU8c9399b6diCRo0bJ/bgw4e/45///Cdatmypm6BNjCAIOHz4MHbu3Inff/8dt27dKnfcx8cHL774IiZOnIi+ffsaKMq6YwdCMoilS5fi888/R1ZWFqytrQ0dDpFJSszIw4Avj+tt/JeKTmPnD+ugUCgwZswYhISEICAgwGLu5l25cgXz58/HkSNH0L59ewwYMADPP/88bG1tIZVK8fDhQxw9ehRHjhzBzZs3ERQUhC+++AKtW7c2dOhlqvv5zWSADKJXr16QyWQICwszdChEJm3qD2dx+qa8xs2HtJGIRQjwdsXm13shLy8PP//8M9asWYOEhAQ888wzCAkJwfjx42Fra6uzOY3Nb7/9hnHjxsHT0xOrVq3C8OHDK02CNBoNQkND8f777+PBgwfYu3cv+vXrV88RV4ztiMlolXYd5C4CorpbFuQHqZaWxLUhFYuwLMgPAODo6IjZs2fjr7/+wsGDB9G0aVNMnz4dMpkMH330EW7fvq3TuY3B9u3bMWbMGIwYMQJxcXEYMWKE1rshYrEYkyZNwtWrV9GrVy8MHjwYhw4dqseI647JANW7ffv2sesgkY54uNjhkxG63ZGzZITvU48vFovFGDRoEPbt24fr169j4sSJWLNmDby8vDBhwgScPn0a1bjRbPSuXr2KadOmYcKECfjll19q9MwUBwcH7N27Fy+++CLGjx+P9PR0PUaqW1wmoHo3atQo3L9/H6dOnTJ0KERmY11UIlYdTqjzOO8O9MHswKq7EwKPPht++uknrF27FomJiejevXvZEoIpPnispKQEvXv3hlKpxMWLF9GgQYNajfPgwQN06tQJvr6+OHTokEFrLLhMQEapsLAQR44c4S4CIh17K7AtVoz2g41UrPVJhhWRiEWwkYqxcrRftRMBAHBycsKcOXNw7do17N+/H40bN8a0adMgk8nw8ccf486dOzV9Gwa1ceNGxMTEYPPmzbVOBACgUaNG+PHHH3HkyBH89ttvOoxQf3hngOrVgQMHMGTIEFy5coXNhoj0IC1biYXhcTiRlAWJWKS1sLD0eN82blgW5PfU0kBtXL9+HevWrcOmTZtQWFiI4OBghISEoHfv3nUeW580Gg06dOiATp064ddff9XJmKVbDU+cOKGT8WqDuwnIKM2aNQsHDx7EjRs3LGZ7EpEhJGbkYevZVEQlZCJVriz3UCMRAJmrHQLbuWNKbxnauDvqfP6cnBxs2rQJa9euxY0bN9CzZ0+EhIQgODjYKJcQSv9QOXXqFAICAnQyZnh4OEaPHo3z58+je/fuOhmzppgMkNERBAGenp4YNWoU1qxZY+hwiCyGokiFZLkCxSoNrKVieLna11tnQY1GgwMHDmDNmjU4fPgwmjRpgpkzZ2LmzJlo2rRpvcRQHTNnzsQff/yBhIS6112UUqvVcHd3x+zZs7FkyRKdjVsTrBkgo3Pp0iV2HSQyAHsbKXybO6ObrBF8mzvXa4thsViMoUOH4tChQ7h69SrGjBmDVatWQSaTYcqUKTh37ly9xVIZQRBw6NAhDBo0SKfjSiQS9O/fH4cPH9bpuPrAZIDqTUREBBwdHY2mGQcR1a8OHTpg/fr1SE9Px8qVK3HmzBn06tULvXv3xrZt21BcXGyQuNLS0pCcnIz+/fvrfOz+/fsjOjoa+fn5Oh9bl5gMUL3Zu3cvBg0axPbDRBauYcOGmDdvHhISErBnzx44Ojpi8uTJ8PT0xJIlS5CRkVGv8SQmJgKAXoqaO3bsCI1G89QzDYwNkwGqF6VdB7lEQESlJBIJhg8fjiNHjiA+Ph6jRo3CypUrIZPJ8Morr+D8+fP1EsetW7cgFoshk8l0Pra3t3fZHMaMyQDVC3YdJCJtOnbsiG+++Qbp6elYtmwZTpw4gZ49eyIgIAChoaEoKSnR29x37tyBu7u7Xu5aNm3aFBKJxOjbNjMZoHoRERGBPn36mM2zv4lIPxo1aoR33nkHSUlJ2L17Nxo0aICJEyfCy8sLS5cuRWZmps7nFAQBEolE5+MCgEgkglgsNvpWzUwGSO/YdZCIakoikWDkyJH4/fffERcXh+HDh2PZsmXw8PDA9OnTceHCBUOHaFaYDJDe/fHHH1AqlUwGiKhWOnXqhA0bNiA9PR2fffYZjh49ih49euC5557Djh076ryEYGtrC4VCoaNoyyssLERJSYnRP+6ZyQDp3d69e9GqVSt07NjR0KEQkQlzcXHBggULcOPGDYSHh8Pa2hrjx49Hq1at8Nlnn+H+/fu1GtfLywsPHz7EgwcPqjxXUaRC/J0cxKQ+QPydHCiKVFrPT0lJAQC0atWqVrHVl/rrPEEWSRAE7N27F0FBQWw/TEQ6IZFIMGrUKIwaNQpxcXFYu3Ytli5dik8//RQTJ05ESEgIunXrVu3xSiv+b968WWHb4LLWztczkZpdQWtnFzsE+rhjci8Z2jYp39q5dBdB6RzGincGSK/YdZCI9MnPzw/fffcd0tPTsWTJEvzxxx945pln0LdvX+zcuRMqlfa/3AGgffv2kEgkT3VDTMtWYuoPZzHgy+PYfDYFKU8kAgAgAEjJVmLz2RQM+PI4pv5wFmnZyrLjZ8+ehbOzM1q2bKmDd6s/TAZIr0q7Dj7//POGDoWIzJirqyvee+893LhxA7/++iskEgmCg4PRqlUrrFixAllZWZVe6+joiD59+pRrGxwanYr+q4/h9E05AGh9+uPjx0/flKP/6mMIjU4FABw+fBj9+/fX224FXWEyQHoVERHBroNEVG+kUilGjx6No0ePIjY2FoMGDcInn3wCDw8PvPHGG7h06VKF1w0aNAi///47lEol1kUl4v1dcShSaapMAp6k1ggoUmnw/q44rNx7CWfPnsWAAQN08db0iskA6c3du3cRHR3NJQIiMoguXbrgv//9L9LS0rBo0SIcOnQIXbt2Rb9+/fDrr7+WW0KYNGkSFAoF3ln/K1Yd1s2TC785lQ6nboMxduxYnYynT0wGSG/2798PsVjMroNEZFBubm54//33cevWLYSFhUEQBIwdOxbe3t5YuXIl5HI5vL29MSR4Kg7cd9DZvIIgoOFLM6AUNdDZmPoiEqrRFqm6z0MmetyoUaOQlZWFkydPGjoUIqJyYmJisHbtWmzbtg0ikQhTpkzBLa+hSMwRQVAVI+d0KIozbqE44wY0BblwfnYiGvad/NQ4RfeS8DBqI4ruXAfEEth6dkajF1+HVcOmAACJCAho7YbNr/eq77cIoPqf37wzQHrBroNEZMy6deuGH3/8EWlpafi///s/HDgdi6R8K4gkUmgK8pAXewiCugR27XpXOkaJPA0Z2z6AoFah8ah/wW3IXKiybyNjy3tQK3MAAGoBOJGUhaTMvPp6a7XCZID0orTr4LBhwwwdChFRpRo3boyFCxfi1c9+hPjvjYMSZ3d4vB2KppNXoGG/aZVe+/DEVogkVnAPXoQGrXvCzicA7sGLoVbmIvfsrrLzJGIRtvyZqvf3UhdMBkgvIiIi2HWQiEzG8cQsaPCoMZpIJKqySZqgUaMgKRp2PgEQ29iVvS51doetpx+UCWfKXlNrBEQl6P4BS7rEZIB0rrTr4PDhw9l1kIiMXn6RCqmPNQqqDtWDuxBURbB2f7rNsHXjVn8fLy57LVWurLJ1sSExGSCdu3TpEtLT01kvQEQmIUWueKqzYFXUBY9qAMS2T+8+EDdwACBAXZhf9poAIFmun4ch6QKTAdK5iIgIODk5sesgEZmEYpWm9hdrufspQvljdZpHz5gMkM6x6yARmRJrac0/CiUNHj2QSFPw9C4BTUE+ABHEtvZ1nqe+GG9kZJJKuw5yFwERmQovV3vUtLpJ2qgZRFIbFN9PfupY8f3kv4//7w8i0d/zGCsmA6RT+/btY9dBIjIp9jZSyFzsqj7xMSKxBA3a+EN5/Qw0Rf8rPlTlZKIw9TLsfALKnS9ztYO9jVQn8eqD8UZGRk9RpEKyXIFilQbWUjG8XO0RERGBPn36wM3NzdDhERFVW6CPOzafTSl7MFHBjfPQlBRCKC4A8KjBkOLao26qDVr3gNjKFg37TsLdn+Yjc+cSOPceC0FVjIcnt0LSwAlO/kFlY0vEIgS2c6//N1UDTAaoRhIz8rD1bCqirmci9Ylne4sAlDQfgW5drZCYkYe2TRwNFSYRUY1M7iXDpjPJZV/LD30Nde7/egMor52E8u9koMXMHyBuaAsrVw80mbQcD6M24v7u5Y/aEcs6o9HojyCxcy67Vq0RMKW3rN7eS23w2QRULWnZSiwMj8OJpCxIxCKtj/UUiwCNAPRt44ZlQX7wqOHtNyIiQ5j6w1mcvimv8WOLtZGIRQjwduWzCcj0hUanov/qYzh9Uw4AVf6glB4+fVOO/quPITTauNtwEhEBwLIgP0jFum2UJhWLsCzIT6dj6gOTAdJqXVQi3t8VhyKVpsbZslojoEilwfu74rAuKlFPERIR6YaHix0+GeGr0zGXjPA1ibujTAaoUqHRqVh1OEEnY606nIDtvENAREZuQk8ZFgxsp5Ox3h3og/E9jbtWoBQLCKlCadlKLNoTX+nx4ns38PDULyi+mwBNoQISp8aw79gPTr2CILayrfCaj/fEI6C1m0lkyURkud4KbAs3Bxss2hMPlUao0V1RiVgEqViEJSN8TSYRAHhngCqxMDwOqkp+AIqzUnFvy7tQ5WSg0Uv/QOOxH8O+Q1/knPoFWb99UemYKo2AheFx+gqZiEhnJvSUIXJePwR4uwJ49CGvTenxAG9XRM7rZ1KJAMA7A1SBxIw8nEjKqvS44uoxCKpiNA5aCKtGzQAADby6QK14gPzYg1AX5kNSwcM71BoBJ5KykJSZhzbu3HZIRMbNw8UOm1/v9b8t1QmZSJU/vaVa5mqHwHbumNJbZrK/25gM0FO2nk3Vun1QJJYAQLlneD/62h4QiSESV/5tJRGLsOXPVCzWcZEOEZG+tG3iiMUjfLEYvhU2WzPmzoLVxWUCekrU9Uyta2QOnV6C2MYe2Ye+RsnDe9AUKaFMOoe82INwfGYoxNYV1wwAj+4ORCVkVnqciMiY2dtI4dvcGd1kjeDb3NksEgGAdwboCflFKqRmK7WeI23YBE1fWYXMXZ/hzoY3yl537D4cjfrPqHKOVLkSiiKV2fwQERGZOv42pnJS5ApUVTerepiBzJ1LILFvhIajPoDEzhlFd68j5/R2aEoK4TZkrtbrBQDJcgV8mztrPY+IiOoHkwEqp1ilqfKcB8c2QVNUgGavri1bErCVdYKkgRPk+7+CQ6cXYSvT3nGrOvMQEVH9YM0AlWMtrfpbojjjFqzcPJ6qDbBu1hYAUHI/RSfzEBFR/eBvZCrHy9UeVXXmlji4oCQrFZq/H+1Zquj2tUfHHbU/vlj09zxERGQcmAxQOfY2Usiq6BDo1HMkNMpcZIR+BMVfJ1CQfAk5p3fgwR8/wMpNhgatu2u9XuZqx+JBIiIjwt/I9JRAH3dsPptS6fZCu7a90GTiZ8j5MwwPIr+DpkgJiZMbHLsOhlOfYIgkVpWOLRGLENjOXV+hExFRLTAZoKdM7iXDpjPJWs+x9ewMW8/ONR5brREwpbdptekkIjJ3XCagp7Rt4oi+bdyq7MVdUxKxCH3buJlsu04iInPFZIAqtCzID1IdJwNSsQjLgrRvOSQiovrHZIAq5OFih090/PyAJSN8+fhiIiIjxGSAKjWhpwwLBrbTyVjvDvQxuUd6EhFZChYQklZvBbaFm4MNFu2Jh0ojaH2A0ZMkYhGkYhGWjPBlIkBEZMR4Z4CqNKGnDJHz+iHA2xUAqiwsLD0e4O2KyHn9mAgQERk53hmgavFwscPm13shMSMPW8+mIiohE6lyZbmHGonwqKFQYDt3TOkt464BIiITIRIEocr7vrm5uXB2dkZOTg6cnJzqIy4yAYoiFZLlChSrNLCWiuHlas/OgkRERqS6n9/8zU21Zm8j5WOIiYjMAGsGiIiILByTASIiIgvHZICIiMjCMRkgIiKycEwGiIiILByTASIiIgvHZICIiMjCMRkgIiKycEwGiIiILByTASIiIgvHZICIiMjCMRkgIiKycEwGiIiILByTASIiIgvHZICIiMjCMRkgIiKycNLqnCQIAgAgNzdXr8EQERGR7pR+bpd+jlemWslAXl4eAMDDw6OOYREREVF9y8vLg7Ozc6XHRUJV6QIAjUaDO3fuwNHRESKRSKcBEhERkX4IgoC8vDw0b94cYnHllQHVSgaIiIjIfLGAkIiIyMIxGSAiIrJwTAaIiIgsHJMBIiIiC8dkgIiIyMIxGSAiIrJwTAaIiIgs3P8DXuka2DEFg9cAAAAASUVORK5CYII=",
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"class Graph:\n",
|
|
" def __init__(self,adj_list:dict ={}, name=\"Graph\", directed=False):\n",
|
|
" \n",
|
|
" self.plt = plt\n",
|
|
" \n",
|
|
" self.nx = nx\n",
|
|
" #validation\n",
|
|
" \n",
|
|
" tmp = []\n",
|
|
" for i in adj_list:\n",
|
|
" tmp.extend(adj_list[i])\n",
|
|
"\n",
|
|
" \n",
|
|
" if(not directed and set(tmp)==set(adj_list.keys())):\n",
|
|
" self.adj_list = adj_list\n",
|
|
" self.directed = directed\n",
|
|
" self.name = name\n",
|
|
" else:\n",
|
|
" print(\"Error : It is not a valid graph\")\n",
|
|
" \n",
|
|
" def __str__(self):\n",
|
|
" string = \" \"+self.name+\"\\n\" \n",
|
|
" for i in self.adj_list.keys():\n",
|
|
" string +=str(i)+\" : [\"+\",\".join([str(j) for j in self.adj_list[i]])+\"]\\n\"\n",
|
|
" return string\n",
|
|
" \n",
|
|
" \n",
|
|
" def add_node(self,node):\n",
|
|
" if node not in self.adj_list.keys():\n",
|
|
" self.adj_list[node]=[]\n",
|
|
" else:\n",
|
|
" print(f\"Warning : the node'{node}' already exists\")\n",
|
|
" def add_edge(self,node1,node2):\n",
|
|
" graph = self.adj_list\n",
|
|
" if(node1 in graph and node2 in graph):\n",
|
|
" graph[node1].append(node2)\n",
|
|
" if(not self.directed):\n",
|
|
" graph[node2].append(node1)\n",
|
|
" def get_nodeSet(self):\n",
|
|
" return list(self.adj_list.keys())\n",
|
|
" def get_edgSet(self):\n",
|
|
" edgSet = []\n",
|
|
" for i in self.adj_list.keys():\n",
|
|
" for j in self.adj_list[i]:\n",
|
|
" edgSet.append(tuple([i,j]))\n",
|
|
" return edgSet\n",
|
|
" \n",
|
|
" \n",
|
|
" def dfs(self,node): \n",
|
|
" if(node in self.adj_list.keys()):\n",
|
|
" traverse = []\n",
|
|
" visited = set()\n",
|
|
" stack = [node]\n",
|
|
" while(stack):\n",
|
|
" current = stack.pop()\n",
|
|
" if(current not in visited):\n",
|
|
" visited.add(current)\n",
|
|
" traverse.append(current)\n",
|
|
" stack.extend(self.adj_list[current])\n",
|
|
"\n",
|
|
" return traverse\n",
|
|
" else:\n",
|
|
" print(f\"Error : node'{node}' does not exist in graph\")\n",
|
|
" \n",
|
|
" def bfs(self,node):\n",
|
|
" if(node in self.adj_list.keys()):\n",
|
|
" traverse = []\n",
|
|
" visited = set()\n",
|
|
" queue = [node]\n",
|
|
" while(queue):\n",
|
|
" current = queue.pop(0)\n",
|
|
" if(current not in visited):\n",
|
|
" visited.add(current)\n",
|
|
" traverse.append(current)\n",
|
|
" queue.extend(self.adj_list[current])\n",
|
|
" return traverse\n",
|
|
" \n",
|
|
" else:\n",
|
|
" print(f\"Error : node'{node}' does not exist in graph\")\n",
|
|
"\n",
|
|
" def getPath(self, n1,n2, path=[]):\n",
|
|
" g= self.adj_list\n",
|
|
" path +=[n1]\n",
|
|
" if n2 not in g[n1]:\n",
|
|
" for i in g[n1]:\n",
|
|
" if(i not in path):\n",
|
|
" path1 = self.getPath(i, n2, path.copy())\n",
|
|
" if(path1):\n",
|
|
" return path1 \n",
|
|
" else:\n",
|
|
" return path+[n2]\n",
|
|
" \n",
|
|
" def opt_path(self, path):\n",
|
|
" g = self.adj_list\n",
|
|
" l= len(path)\n",
|
|
" path1 = path.copy()\n",
|
|
" t=2\n",
|
|
" for i in range(l):\n",
|
|
" for j in range(i+2,l):\n",
|
|
" if(abs(j-i)>t):\n",
|
|
" n1 = path[i]\n",
|
|
" n2 = path[j]\n",
|
|
" if(n2 in g[n1]):\n",
|
|
" path1 = path[:i+1]+path[j:]\n",
|
|
" t = abs(j-i)\n",
|
|
" return path1 \n",
|
|
" def sortestPath(self,n1,n2):\n",
|
|
" path = self.getPath(n1,n2)\n",
|
|
" spath =self.opt_path(path)\n",
|
|
" return spath\n",
|
|
" \n",
|
|
" def display(self):\n",
|
|
" G = self.nx.Graph()\n",
|
|
" G.add_nodes_from(self.get_nodeSet())\n",
|
|
" G.add_edges_from(self.get_edgSet())\n",
|
|
" self.nx.draw_networkx(G)\n",
|
|
" self.plt.title(self.name)\n",
|
|
" self.plt.show()\n",
|
|
" def makeTree(self, Root=None):\n",
|
|
" temp_ls = dict()\n",
|
|
" if((Root == None) or (Root not in self.adj_list.keys())):\n",
|
|
" root = list(self.adj_list.keys())[0]\n",
|
|
" else:\n",
|
|
" root = Root\n",
|
|
" temp_ls[root] = [root]\n",
|
|
" stack = [root]\n",
|
|
" \n",
|
|
" def visite(root):\n",
|
|
" for i in self.adj_list[root]:\n",
|
|
" if root not in temp_ls:\n",
|
|
" temp_ls[root] = list()\n",
|
|
" if i not in stack:\n",
|
|
" stack.append(i)\n",
|
|
" temp_ls[root].append(i)\n",
|
|
" visite(i)\n",
|
|
" \n",
|
|
" visite(root)\n",
|
|
" \n",
|
|
" return temp_ls\n",
|
|
"\n",
|
|
"adj_list = {\n",
|
|
" 0:[3,5,9,10,1],\n",
|
|
" 1:[6,7,4,0,10],\n",
|
|
" 2:[10,5],\n",
|
|
" 3:[0],\n",
|
|
" 4:[1,5,8],\n",
|
|
" 5:[2,0,4],\n",
|
|
" 6:[1],\n",
|
|
" 7:[1],\n",
|
|
" 8:[4],\n",
|
|
" 9:[0],\n",
|
|
" 10:[2,0]\n",
|
|
"}\n",
|
|
"g = Graph(adj_list,name=\"Demo\")\n",
|
|
"g.display()\n",
|
|
"for i in adj_list:\n",
|
|
" \n",
|
|
" g1 = Graph(g.makeTree(Root=i),name=\"Demo tree_\"+str(i))\n",
|
|
" g1.display()\n"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"id": "29d9be84",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": []
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"id": "03f1967f",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": []
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"id": "8db9672a",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": []
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"id": "457ca038",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"print(g)\n",
|
|
"g.add_edge(8,10)\n",
|
|
"print(g)\n",
|
|
"print(g.sortestPath(8,10))\n",
|
|
"g.display()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"id": "affba892",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": []
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 7,
|
|
"id": "9862c226",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"[1, 2, 2, 3, 4, 5, 1, 7, 9, 90, 23, 41]"
|
|
]
|
|
},
|
|
"execution_count": 7,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"class Tree:\n",
|
|
" def __init__(self,data, parent = None):\n",
|
|
" self.data = data\n",
|
|
" self.childs=[]\n",
|
|
" def addChild(self,*nodes):\n",
|
|
" childs=[Tree(i, parent=self) for i in nodes]\n",
|
|
" self.childs.extend(childs)\n",
|
|
" if (len(childs)==1):\n",
|
|
" return childs[0]\n",
|
|
" return childs\n",
|
|
" \n",
|
|
" def getChilds(self):\n",
|
|
" return [i.data for i in self.childs]\n",
|
|
" def getElements(self):\n",
|
|
" elements = [self.data]\n",
|
|
" for i in self.childs:\n",
|
|
" elements.extend(i.getElements())\n",
|
|
" return elements\n",
|
|
" def traverse(self, order=\"pre\"):\n",
|
|
" ls = []\n",
|
|
" if(order==\"pre\"):\n",
|
|
" ls.append(self.data)\n",
|
|
" for i in self.childs:\n",
|
|
" ls.extend(i.traverse(order=order))\n",
|
|
" return ls\n",
|
|
" elif(order==\"post\"):\n",
|
|
" for i in self.childs:\n",
|
|
" ls.extend(i.traverse(order=order))\n",
|
|
" ls.append(self.data)\n",
|
|
" return ls\n",
|
|
" \n",
|
|
"tree = Tree(1)\n",
|
|
"t2 = tree.addChild(2)\n",
|
|
"t2t3 = t2.addChild(2,3,4,5,1,7,9)\n",
|
|
"tree.addChild(90,23,41)\n",
|
|
"tree.getElements()\n",
|
|
"# tree.traverse()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 8,
|
|
"id": "102b3cb1",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"[2, 3, 4, 5, 1, 7, 9, 2, 90, 23, 41, 1]"
|
|
]
|
|
},
|
|
"execution_count": 8,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"tree.traverse(\"post\")"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"id": "69202f88",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": []
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 9,
|
|
"id": "99b975a8",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"class BTree:\n",
|
|
" def __init__(self,data, parent=None):\n",
|
|
" self.data = data\n",
|
|
" self.left = None\n",
|
|
" self.right = None\n",
|
|
" self.parent = parent\n",
|
|
" \n",
|
|
" def getElement(self,idx):\n",
|
|
" path=[]\n",
|
|
" while(idx>0):\n",
|
|
" if(idx%2==1):\n",
|
|
" path.append((idx%2))\n",
|
|
" idx //= 2\n",
|
|
" else:\n",
|
|
" path.append((idx%2)+2)\n",
|
|
" idx = idx//2 -1\n",
|
|
" temp = self\n",
|
|
" while path and temp:\n",
|
|
" dr = path.pop()\n",
|
|
" if(dr==1):\n",
|
|
" temp = temp.left\n",
|
|
" else:\n",
|
|
" temp = temp.right\n",
|
|
" if(temp):\n",
|
|
" return temp\n",
|
|
" else:\n",
|
|
" print(\"id does not exists\")\n",
|
|
" \n",
|
|
" def getDepth(self):\n",
|
|
" ld = self.left.getDepth() if self.left else -1\n",
|
|
" rd = self.right.getDepth() if self.right else -1\n",
|
|
" return max(ld,rd)+1\n",
|
|
" def isBalanced(self):\n",
|
|
" ld = self.left.getDepth() if self.left else -1\n",
|
|
" rd= self.right.getDepth() if self.right else -1\n",
|
|
" if(abs(ld-rd) in [0,1]):\n",
|
|
" lb = self.left.isBalanced() if self.left else True\n",
|
|
" rb = self.right.isBalanced() if self.right else True\n",
|
|
" return bool(lb*rb)\n",
|
|
" \n",
|
|
" def getParent(self):\n",
|
|
" return self.parent\n",
|
|
" \n",
|
|
" def getChilds(self):\n",
|
|
" return [self.left, self.right]\n",
|
|
" \n",
|
|
" def getId(self):\n",
|
|
" if(self.parent != None):\n",
|
|
" if(self == self.parent.left):\n",
|
|
" return self.parent.getId()*2 + 1\n",
|
|
" else:\n",
|
|
" return self.parent.getId()*2 + 2\n",
|
|
" else:\n",
|
|
" return 0\n",
|
|
" \n",
|
|
" def __setattr__(self,key,value):\n",
|
|
" self.__dict__[key] = value\n",
|
|
" if(value):\n",
|
|
" if(key in [\"left\", \"right\"]):\n",
|
|
" value.parent = self\n",
|
|
" \n",
|
|
" \n",
|
|
" def getSize(self):\n",
|
|
" lsize = self.left.getSize() if self.left else 0\n",
|
|
" rsize = self.right.getSize() if self.right else 0\n",
|
|
" return lsize+1+rsize\n",
|
|
" \n",
|
|
" def addData(self, data, idx=-1):\n",
|
|
" if(idx==-1):\n",
|
|
" q = [] \n",
|
|
" q.append(self) \n",
|
|
" while (len(q)): \n",
|
|
" temp = q[0] \n",
|
|
" q.pop(0) \n",
|
|
" if (not temp.left):\n",
|
|
" temp.left = BTree(data, parent=temp) \n",
|
|
" break\n",
|
|
" else:\n",
|
|
" q.append(temp.left) \n",
|
|
" if (not temp.right):\n",
|
|
" temp.right = BTree(data, parent=temp)\n",
|
|
" break\n",
|
|
" else:\n",
|
|
" q.append(temp.right) \n",
|
|
" else:\n",
|
|
" dr = idx%2\n",
|
|
" if(dr==1):\n",
|
|
" ele = self.getElement(idx//2)\n",
|
|
" ele.left = BTree(data, parent=ele)\n",
|
|
" else:\n",
|
|
" ele = self.getElement(idx//2 -1)\n",
|
|
" ele.right = BTree(data, parent=ele)\n",
|
|
" def addNode(self, node, idx=-1):\n",
|
|
" if(idx==-1):\n",
|
|
" q = [] \n",
|
|
" q.append(self) \n",
|
|
" while (len(q)): \n",
|
|
" temp = q[0] \n",
|
|
" q.pop(0) \n",
|
|
" if (not temp.left):\n",
|
|
" temp.left = node \n",
|
|
" break\n",
|
|
" else:\n",
|
|
" q.append(temp.left) \n",
|
|
" if (not temp.right):\n",
|
|
" temp.right = node\n",
|
|
" break\n",
|
|
" else:\n",
|
|
" q.append(temp.right) \n",
|
|
" \n",
|
|
" \n",
|
|
" \n",
|
|
" def traverse(self, order=\"pre\"):\n",
|
|
" ls = []\n",
|
|
" if(order==\"pre\"):\n",
|
|
" ls.append(self.data)\n",
|
|
" if(self.left):\n",
|
|
" ls.extend(self.left.traverse(order))\n",
|
|
" if(self.right):\n",
|
|
" ls.extend(self.right.traverse(order))\n",
|
|
" return ls\n",
|
|
" elif(order==\"post\"):\n",
|
|
" if(self.left):\n",
|
|
" ls.extend(self.left.traverse(order))\n",
|
|
" if(self.right):\n",
|
|
" ls.extend(self.right.traverse(order))\n",
|
|
" ls.append(self.data)\n",
|
|
" return ls\n",
|
|
" elif(order==\"in\"):\n",
|
|
" if(self.left):\n",
|
|
" ls.extend(self.left.traverse(order))\n",
|
|
" ls.append(self.data)\n",
|
|
" if(self.right):\n",
|
|
" ls.extend(self.right.traverse(order))\n",
|
|
" return ls"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 10,
|
|
"id": "9a28bb90",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"[3, 4, 1, 5, 2, 0]"
|
|
]
|
|
},
|
|
"execution_count": 10,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"bt = BTree(0)\n",
|
|
"bt.left=BTree(1)\n",
|
|
"bt.right = BTree(2)\n",
|
|
"bt.left.left = BTree(3)\n",
|
|
"bt.left.right = BTree(4)\n",
|
|
"bt.right.left = BTree(5)\n",
|
|
"\n",
|
|
"\n",
|
|
"\n",
|
|
"# bt.getElement(5)\n",
|
|
"bt.traverse(\"post\")"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 11,
|
|
"id": "af6dc0c6",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"[9, 8, 17, 5, 11, 3, 4, 6, 14]"
|
|
]
|
|
},
|
|
"execution_count": 11,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"btr = BTree(3)\n",
|
|
"ls=[5,6,8,11,4,14,9,17]\n",
|
|
"for i in ls:\n",
|
|
" btr.addData(i)\n",
|
|
"btr.traverse(order=\"in\")\n",
|
|
"# btr.getElement(5).getId()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 12,
|
|
"id": "d77046ab",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"[3, 50, 6, 4, 14]"
|
|
]
|
|
},
|
|
"execution_count": 12,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"btr.addData(50, idx=1)\n",
|
|
"btr.traverse()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 13,
|
|
"id": "aa1c5c64",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"3"
|
|
]
|
|
},
|
|
"execution_count": 13,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"btr.data"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 14,
|
|
"id": "26662a5c",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"(6, 5)"
|
|
]
|
|
},
|
|
"execution_count": 14,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"btr.getElement(1).getId()\n",
|
|
"\n",
|
|
"\n",
|
|
"bt.getSize(),btr.getSize()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 15,
|
|
"id": "83acc37e",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"[3, 50, 6, 4, 14]"
|
|
]
|
|
},
|
|
"execution_count": 15,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"btr.traverse()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"id": "563a1e0c",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": []
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"id": "57ddb47c",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": []
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"id": "9bcd3416",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": []
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"id": "7f5772c1",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": []
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"id": "d664751a",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": []
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"id": "1b77949f",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": []
|
|
}
|
|
],
|
|
"metadata": {
|
|
"kernelspec": {
|
|
"display_name": "Python 3 (ipykernel)",
|
|
"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": "3.11.5"
|
|
}
|
|
},
|
|
"nbformat": 4,
|
|
"nbformat_minor": 5
|
|
}
|