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@betatim
Created July 2, 2020 07:47
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Notebook that contains various kinds of elements
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Example Document\n",
"\n",
"This is an example notebook to try out the [\"Notebook as PDF\"](https://github.com/betatim/notebook-as-pdf) extension. It contains a few plots from the excellent [matplotlib gallery](https://matplotlib.org/3.1.1/gallery/index.html).\n",
"\n",
"To try out the extension click \"File -> Download as -> PDF via HTML\". This will convert this notebook into a PDF. This extension has three new features compared to the official \"save as PDF\" extension:\n",
"\n",
"* it produces a PDF with the smallest number of page breaks,\n",
"* the original notebook is attached to the PDF; and\n",
"* this extension does not require LaTex.\n",
"\n",
"The created PDF will have as few pages as possible, in many cases only one. This is useful if you are exporting your notebook to a PDF for sharing with others who will view them on a screen.\n",
"\n",
"To make it easier to reproduce the contents of the PDF at a later date the original notebook is attached to the PDF. Not all PDF viewers know how to deal with attachments. This mean you need to use Acrobat Reader or pdf.js to be able to get the attachment from the PDF. Preview for OSX does not know how to display/give you access to PDF attachments."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<BarContainer object of 20 artists>"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Fixing random state for reproducibility\n",
"np.random.seed(19680801)\n",
"\n",
"# Compute pie slices\n",
"N = 20\n",
"theta = np.linspace(0.0, 2 * np.pi, N, endpoint=False)\n",
"radii = 10 * np.random.rand(N)\n",
"width = np.pi / 4 * np.random.rand(N)\n",
"colors = plt.cm.viridis(radii / 10.)\n",
"\n",
"ax = plt.subplot(111, projection='polar')\n",
"ax.bar(theta, radii, width=width, bottom=0.0, color=colors, alpha=0.5)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Below we show some more lines that go up and go down. These are noisy lines because we use a random number generator to create them. Fantastic isn't it?"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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S1aKPpz1DmjjjZmf8yv1diUjm4+0B2Jvps2ZIQ+xM9Upsm//9VHZei+Hzzm5YGumWuJ+SkpAp54u/blGrkgnTO7u9kWOW5X9jvEwmqwTw+D2hoJ0EQfhVEAQvQRC8rK2ty9AcCYnik5mfycobK4nLjnvpfp+d/QwLPQvmt5j/nxf4qKRsBvx6me8PBdPM1YrNoxrRqY4tO67H0HnpOfqvucyBmw/JV6pf2pcgCKy/EMmgdVfQ19YkND6T7isucD0q5ZXtypQr+Hb/bd5ffYk/r8Ww5XJ0SU6vxKTnKLgZk8ZnO2+Sladk+cD66Gq9mVIVpbZoyOOY/CFBEOo+/v1HIPlfA68WgiDMKKoPadEQiYrCMv9lrAtch6WeJUvbLi1wWTtBEJh2dhpnY86yscvG//TSd2q1wKZLUSw6HoK2pgaze9Th/Qb2TwYUU7Lz2e0Xwzbf+9xPycHKSIdBjZwY0sQZG5MXPfOcfCVf/BXIwZsP6VTblp/6exCfLmfMlus8SMvlu551GNzYuVi2+QTHM2vfbeIz5Qxv6kJIXAb3k3M4/0W7Es8w/ecGdOjWI4x0tcSXnvhurKeFTCYjJiWHqORsopKySc1RPGn7fe+6DG1SPNuLS5mvDCWTybYjDrJaAfHAbGAfsBNwAqKB/oIgFHkLlkReojio1Cq2h2zH3dodD2uPUu8/PS+dTrs74W7lzsPsh8RlxzGrySz6VO/zzH7bgrex8NpCpntNZ3id4aVux9vC/eQcpu++ydXIFNq6WTO/b71CQypqtcD5sCS2Xo7iVEgCmjIZ79WrxIhmLng6iVnWkUnZjN/qR2hCJp91cmNCa9cnsfj0XAVT/gzg7N1EPmzkyHc96xTqESdkyJl9IIijt+NwszVm/vvuNHAy50jgIyb+7s/Gkd60dbN55fNVqwX+dzCIzZejcbc3RUdLgyy5kqw8JZlyBVl5StQCVDbVw8XKUHxZGuBiaUh1W2OqlEE+vLT8n8Q7xf6w/Xxz8RsAWtq3ZFL9SdSxqlNq/f8S8Atrb61lT8892BjYMP3v6fg+8mVwrcFM95qOloYWNxNvMuLoCFo6tGRZ22X/2VK/8Rlyev1ykex8Jd92r02/hg7FvhbRydlsuRzNzmsxZOYp8XAwpWNtW9aei0BLQ8byDz1pWf3FEK5KLbDE5y4rz4TTwMmMb3vUIVOuIC5dTkJmHnHpcuIy5PhGJJOnVDOlfXXGtqqKtqYYSstXqmk6/xReLuasHVqgLhZKnlLFZztvcujWI8a2qsqXXWq+MBgsCAJKtfDkeG8CSeQlKjShqaEEJQfRu1rvl+6bp8qj+97uWOpZ0sG5A5uCNpGel04bhzZMrD/xldc1fZ6M/Aw67+5M08pNWdJmCQBKtZLF1xez7c42Gts1ZlbTWYw5MQYNmQY7uu/4z67ElJOvpP/ay0QmZrNrfDNqVzYpUT9ZeUr2+Mey6VIUEYnZuNubsnpIAxzMDYpsdyTwEdN33SQnX/XM52YG2tga61HN1ojpndwK9JznHbnDhguRXPqqHTbGxRvIzcpTMn6rHxfCkviqa03GtS56kfM3SVEijyAIFebVsGFDQeK/RVhqmNB8e3Oh7qa6gk+Uz0v33xi4Uai7qa5w5eEVQRAEITMvU1h7c63Q9I+mQt1NdYXJpyYLVx9dFRQqRYnsWXVjlVB3U13hTvKdF7btDd0reG7xFDw2ewj1t9QXAhMDS3SMdwGVSi2M2XxNqPLlIeHUnbhS6/NuXIYgVyiL3SYqKUvYf+OB4BueJEQlZQm5+cVrG5aQKTh/cUhYdSasWPsnZsqFHivOC1W/Oizsuh5TbPveFMB1oRBdlTx5iXLjQdYDhh0Zhho1ZrpmpMpT2d97f6GecXpeOt32dMPd2p01HdY8sy0zP5NtwdvYGryVTEUmZrpmtHJoRTvHdjSt3BQD7aK9QoCs/Cw6/dUJL1svlrdbXuA+NxNvMvvibIbWHsr7Nd5/9ZN+R5h/5A5rz0Uwu0dtRpZRYa2ypv/ayyRkyDkzvU2RIaaYlByGbbjKo/RcVg5qQPtaFW/KT1GevFSgTKJc+KemulwlZ1OXTagEFR8e+pBF1xYxt8XcAtusv72ezPxMpjaY+sI2Yx1jJtSfwPA6w7n48CKn75/mbMxZDoQfQFdTlyaVmvBBjQ9o7di6UJu2h2wnMz+TcR7jCt3Hw9qDfb33vfoJv0P8efU+a89FMKypMyOauZS3OSVmoLcj03be5HJEMs1cC56UlJ6j4MPffMmUK/n9o8Y0dLZ4w1a+Pv/tpF6JciE9L52xPmNJyk1iVYdVVDevTk2LmoxyH8WB8AOciz33Qpu47Dh+D/6d7lW742ZR+CQSA20DOjp3ZH7L+ZwdcJZ1ndbRr0Y/7qXe4+PTH7MucB0FPb1mK7LZHLyZVg6tqGNZeoO47xoXw5L4Zt9tWtew5tvutd/qAedu7pUw0dNix7WYArcLgsD03TeJS5ezcaT3WynwIIm8RCkjCAJHIo6wL2xfgROJchQ5TDo1iaj0KJa1XfZMCuS4euNwNXVlzuU5ZOVnPdNu5Y2VCAh87PlxsW3R1tCmcaXGfNnoSw71OUTXKl1Z5r+MuVfmolI/O1i34+4Osd57vcK9+LeNDLmCxSfu8vXeQNTq4odlEzPziEzK5kFaLklZeWTIFeQpVYQlZDJ+mx+u1kb8MsgTrTeYPVIW6Glr0sfTnqO340jLyX9h+/oLkfgEx/Nl15o0cHp7i+hK4RqJUkN4XKRrXeC6J5+5mLjQuFJjmlZqioeNB19f+JrApEAWt15M08pNn2mvo6nDnOZzGHp0KEv8lvBt028BMfvmQPgBhtQaQmWjyiWyTUdThwUtF2BnaMfG2xuJz4lnUatF6Gvpk6PIYXPQZppVbkY963olvwAVBLlCxZbLUaw6G07a40k4nk7m9Gv48nK216JSGPSbLwpVwTcFKyMd1o/wwlhPuzRNLjcGeDux+XI0e/wfMKrF07EF//upLDgaQqfatoxu8XaOOfyDJPISpcaaW2tYFyiGRwa6DeTKoyv4PvLlQPgBdtzd8WS/Oc3m0MG5Q4F91LOux9BaQ9kcvJnOLp1pXKkxy/yXYahlyBj3Ma9ln4ZMg2kNp2FnYMeCqwv46PhHrGi/goPhB0mRpzDeY/xr9V/eKFVq/vKPZenJUB6ly2lVw5rPO7nx7YHbomDVscWkCHHOV6r5ak8gNsZ6TO9cg3ylmjyl+sm7QqWme71KL01tfJuoXdkEDwdT/rx2n5HNXZDJZKTl5PPJHwHYmerxYz+PtzokBZLIS5QS6wPXs+rGKnq59mJWk1loyDRws3BjWJ1hKFQKApMCuRJ3hepm1QsV+H+Y5DmJMzFnmH1pNl83/pq/Y/9mSoMpmOmZlYqtg2oNwtbAli/Of8HQI0PJVmTT2K7xW70c36k78cw7cofwxGw8HM1Y3N/jyWDi/3rWodfKiyw/Gco33WsX2sfav8MJS8hi4whv2tZ89ZmgbysDGznx1Z5AAmLSqO9gxmc7b5KQKWf3+GaYGrz9TyxSCqXEa7MlaAs/Xv+RrlW6Mr/FfDQ1Xr/w0vW464w8PhJtDW3M9cw53Ocwelolrz5YEDcSbvDx6Y9Jz0tnQ+cNeNt5l2r/b4K0nHy+OxDEvhsPcbU25PPONelcx/YF7/OrPbfYdT2Wo1NaUt32xUqQkUnZdF56jo61bFk5uMGbMr9CkJWnpNHck3SvVwlXayPmHw3hux61GfEWpYYWlUL5do+cSJQ7f4b8yY/Xf6Sjc0fmtZhXKgIP4GXnxQC3ASjUCibVn1TqAg9Q36Y+27ttZ2HLheUi8AH3Uxm96Rpx6fIStT8RFEeHJec4dOsRn3aoztEprehS167A8ML0Tm4Y6Gjy3cGgF7KLBEHg672B6GppMLtH4Z7+u4qRrhY96lVm/42HLDp+l27udgx/i1NDn0cS+XeU2MxYchQ5ZdK3IAhk5Wex8+5O5l6ZSxuHNixsuRAtjdKN/n3u/Tmr2q8qVrmDkuJo4ki3qt3KrP+i+OnEXU6FJDB0/RVSs1/M7iiMtJx8Pv0zgLFb/bA21mX/x835tEMNdLQK/zpbGunyWSc3LoYlc+z2s1lPewMecCk8mS+61CywIuR/gYGNHMlTqnEw12fB+/Xe+jj8v5HCNRUIQRAQEF67JnlsZiy99vXCVNeUyQ0m09O1Z4n6VAtqzsee50T0CZJzk0mRp5AiTyFVnkq+WhSl5vbNWd52+X96BaSScDcuk85Lz9HN3Y6TdxKoVcmE3z9q/NIVlE4ExTFz723ScvL5uF01JrapVqS4/xulSk33FRfIlCs5Oa01+jqapGTn02HJ37hYGrB7fLN3YuWlkiAIAtuvxtCkqgVVrY3K25xXRprx+pYw98pcrjy6wq8df6WSUaUS97P21loA7AztmHVxFttDtjPDewYNbRsWq71cKedgxEG2BG0hKiMKc11z7I3ssdK3ooZ5DSz0LLDQs8DGwIb2zu0lgS8Bmy5Foqetwdze7vTxTGX8Nj/GbrnOhhHe6Gm/GPJKz1Hwv4NB7Al4QK1KJmwe5U2dyq9WGE1LU4P/9azDgF99Wf13ONM61mD+kTtk5CqY37fef0PgBQGSQsGkMug+FXOZTMagxu/mynSSyFcQwlLD2Hl3JwICo46PYmOXjdgZ2r1yP1HpURwIP/CkLO6RyCMs9VvKiGMj6OjckWkNp+FgXHC+dIo8hR0hO/jz7p+kyFOoZVGLhS0X0tGlI9oab3+WQUUhNTufPf4P6NvAHnNDHTrWtuXHfvWYtvMmU/4MYOWgBs9MNDodEs9XewJJzspnSvvqTGpbfO/9eRpXtaSnR2XW/B2Og7k+u/ximdjGtUTL8r11qNVw7Eu4uhZkmlC5Pjg3F19OTUD/cfZWxiN4GAAP/cX3RzfByg26/Qi2rzFmIQgQfgpcWoHWm3OMpHBNBWHa2WlcfniZha0WMuPcDCz1LNnQeQO2hq9WDGnGuRmcjTnL0b5HsdS3BCBXmcumoE1svL0RpVqJp40nakGNSlChUqtQCkpUahVRGVHkqfJo7dCa4XWG42Xr9U7FJisKq86GsejYXY5/2uoZcd14MZL/HQzmg4YOLOpXj8w8Jd8fDGaXXyxutsYs7u9BXfvXL2scly6n3eKz5OSrcLIw4MTUVgU+PbxTqFVwcAoEbIWGI8HAEqIvwgM/UOUDMrCpDTnJkPV4zEKmAda1wK4uhPpAXgY0+wRazQCdEswVuHsUtg8U27f7ulRPTwrXVHCCk4PxifZhosdEWjm0Yk2HNYzzGcfoE6PZ0HkDNgbFy1kOTQ3lWOQxRtUd9UTgAfS19JngMYG+1fqy+uZqItIj0JRpoqOpg5aWFpoammjKNGlg24CBbgOpala1rE71P49CpWbLpWhaVLN6wXse2bwKaTkKlp0KJU+p5lpUCvEZcia2cWVKh+qltiaonakeU9pXZ8GxEH7oXfftFvisRFDmglkRoRaVAvaOh9u7RYFtOxP+cV4UuRB7XRT8mKtg5w6VPcWXnftTMc9OBp9ZcOFnuL0H3lsC1Yue7/ECV8QwKpeWQ4NhYOb46udbAiRPvgIw8eREbiXd4mjfoxjriF/8gIQAxvuMx8bAhg2dN2Bt8PJFzqeemYrvI1+OvX+swi5kIQjCf/rp4ODNh3yyPYD1w70KLFkrCAL/OxjMpktRuFobsrh/feo7ls4ksOePk5iZV7GyaXJT4cqvYFEFanYv2ltOiYCLy+HG76KI1+oOLT8TxfnfKPNg9ygIOQQdvoMWL1YwfSUiz8OhqZAcCnX6QJcFYFyMsGriPVjpDQ1HwM0/xfPrt/71bPkXkidfgbmRcIPzD87zaYNPnwg8gKeNJ6s7rGb8yfFPPHor/WfLoYYnZjFs/VUW9/fAxDSek/dPMtFjYoUV+Em/+3P2bgI17IypaWeMm60xbnYm1LQzxtzwvzF4u/FiJC6WBoWuLSqTyfi2e2061LLFy8W8zLxsmUz26gKvUoI8XfScFfJn3y2rg0nJkwWIPA97x0HGA/F3HSOo3Rs8Booxc43HYxBxt0VvOmgPaGhB/cFi6OXqb3DnILi2g5bTwbmZ6KXvGCLGwbsugsalUHyuSkuYcCBZzqcAACAASURBVBEuLoNzP4lPAZOuvjx8c+030NSBtt+AoQ2cWwSNxoJT49e36SVInnw5M/r4aMLTwjnS90iBC1tcj7vOxFMTsTO0Y3nb5biYujzZNmvfbbb6RuNsaUCt+rsITLrJsfePPXOzKAtUaoGDNx+y2y+Wr9+rRa1KL1/2LTA2nR6/XKCZqyUqtcDd+MwnxbMAatoZs3pIw9de5DghU46xrjb6OhUvBHEzJo1eKy9WjIU2FHJ4dAMcGz8NXRRFZhxs6AypUQVv1zEWPdManV/NDmU+nJ0HF5aCRVXo+5t407i5HYL2Q34mmDqCez+ID4bQ4+INwGsUNJ301IuWZ8D19XB5JWQniueFDGKuQM8V0GDoq9lVHCLPw+bu0P5b8SmiMOQZsKQW1HwP+v4KeVnwixcYV4KPTj29gb0G0hqvFRTfR76MOTGGLxt9yeBagwvd73rcdaaenUq+Kp9ZTWfRvWp3svKUNJ57EhcrQ+6kBmLospopDabwkftHZWavWi1wPCiOJT73CE0QSwE3rWrJH2MavzQEM36rHxfDk7j4ZTtM9LQRBIGEzDxC4jK58yiDX89FIAgCvw7zwtulZHW7EzLldFxyDhtjXf4Y0wRrY90S9VNWfPpnACfvJHD5q3blW8UxJwW2fwgxvtD2a2g9o+j9FXLY9B4k3BHj2XomoKUP2nriu4YG+MyGuEDoOEccnCzOjSM5HP4aLWaweA4VQx//SmskPwfuHhEFP/w06JtD4wnQ6CPx5wJtzYWAbaKnnfFQFFX3fsW/Nq/K9g8h6gJMvgGGlgXvc+VXOPo5fHQaHB6nMd/8U3xy6bNWfFp5TSSRr4AIgsCQo0OIz47ncN/D6GoWIUhqNXGJQXzh/xP+Cf70qdYHZ9lgvj8Qxt6JzZh2bgKJedFs7LAXb+dXT7ssjq1n7iaw+MQ9gh5m4GptyLSObsRlyPn+UDBbRzeiZfXCxwxC4zPp+PM5Pm5bjemdC17wIzo5m5EbrxGbmstP/T3o6fHqJYUn/e6Pz514NGUyHMz1K5TQJ2TIab7wNEOaODO7RzkuSpIWA9veh9RI0duNOg/dl4LXyIL3FwRx0PLWn9B/K9TuWfB++dmwbyIE7wOPQdBjKWgVcu3VarixDY5+CZra0HM51O5VtN05KaCtL76Kg0oB2UmvF0IqDol3YVUTaDQOui54cbsgwC/eoGsMY888/VythnXtIfMRfOIHOq/3BCvVrqmAnIs9x63EW4z3GF+0wAP4rsLu13asbziTsfXGsi9sH7/c+ZgajlkotENJUgWhk9Web/eFolCpC+1GrRb45XQoy0+FkpWnLJadl8KS6Lv6EqM2XSdTrmRJfw9OTG3Ne/UqMaSJE/Zm+iw6drfA1Zb+YdXZcPS1NZ+p1/08zpaG/DWhGfUdzZi8PYCVZ8KK7PN5TgbHczjwEZPbVWPDCG9iU3P58DdfEjPzit3Hv7kelcKCoyGExGWUqP3zbPONRqkWyne5vLjbsL6jGHoZsgeG7oXqneDwNLhzqOA2l38RBb7NzMIFHkSR+mCTuN/NP2BTd8iMf7pdrRLDG4eni6GLA5+AfQOYcOnlAg9gYFF8gQfx5lHWAg9g7SY+hVxbBymRL26POCMO0j4/HqChIT65ZD4SnzrKEMmTLwfUgpoBhwaQrchmf+/9RU80UqthRQPR86o3APr+yka/4/x04zt0tBVUMrIhT5nH1Fob+Pj323ze2Y1JbauJ7f4V68vNV/HpjgCOB4lfPEtDHSa3r86HjZwKnFhzKzaNH4/f5XxoEpVM9Zjcvjr9Gjqg/dxqQLv9Ypm+6yarBjegm/uLX6r7yTm0XXyWEc1cmFVEmdt/yFOqmLH7FvtvPGSAlyM/9Kn7wjGfJytPScclf2Oip83BT1qgo6WBb0QyIzdew95cnz/GNMbGuHiDjL4RySw/Fcql8GQANDVkDG3izNSONTDVL1mIRa5Q0XzBaTydzFg3vIwKoeVni/nehYUxIs/Dn4PEePaQ3WBb52m7Lb3g0S1R9F2aP20TehL++ABq9YB+m4ofOw7eL3r/+hbQYTbcvywOimYniuGd6h3FzJTavUslHl3uZDwSv6NuXaHfhme3bf9QTM2cFlzwk83uURByGD6+/loplZInX86o1AIJGXJuxqRxPCiOWT5/EJISwgSPCS+fSRp1XhR4KzcI3AVJofjdtUbj4TQ8beoTkxnD2Hpj6e7uTDd3O5adCiUqOhKW1YO/FwFirHrgr5c5ERzP7B612T+pOTVsjZl9IIiOP//NwZsPn3jN4YlZTPzdj56/XOT2g3S+ea8WZ6a34cNGTgWKbR9Pe6rbGPHTibsoC3iKWHMuHE2ZjLGtipd7r6ulydIB9fmkXTV2XI9h1KZrpOcqimzz0/G7xGXImdfX/ckNq0lVSzaO9OZBai6DfrtCQmbhlR4FQeBiWBL9115m4K++hCZk8c17tbj0ZTsGejuy+XIU7X46y87rMcVaRk+hUhObmsO1qBT233jAmt2HaZ57llFNSraq1csPmAu/tYOFLrDCSwybXN8gxsjVKrj9F2zrK07l/8jnqcCD6IEP2gnmzqIgxQeJnyeFigJkUwd6r341Ma7dC0YdE3/eM0aMP7u0ED39z8NgwFao2/fdEHgQnxiaThKv8wO/p5+nRokToBqOKDx01eF/4vvJ78rMPMmTLyPis9IY/tci4nNjyVNngmYOMs1sZJo5yDQUkG/Lvt57cLV+SWbK7lEQdhLGX4SVjZBX60bdm+8zvJkLM7u5EZQchLuVOzKZ7MnA4zLdNbSRnwJkxPTazcDjGqRk57P8Q0861hZzswVB4Oy9RBYeDSEkLpN6DqbUsDVmb8ADdLU0+KhlVca0rFKsAcLjQXGM2+rHwvfdGeD9dFJKXLqcVovO0M/LgXl93F/5Gu68FsPMvYE4WRqwbphXgYWjAu6n0nf1JYY2cWZOr7ovbP/Ho69spsfaoV6o1ALJWXkkZeeTkpVHcnY+l8KT8YtOxdZElwmtXRnYyOmZ1MXbD9KZfSAIv+hU6juaMadXHZwsDIhKziE6OZuopMfvyeK6qAmZefzztTJAzgndGTjIkhAMrZF5fwReo8Ho5fMeis2xr8B3FTSZKIYMYq+KMzdB9Nzzs8CpKQz8Qwx7FERaDKzvBIJa9PR3jYDcNDGOXNREo6LISYG4W+DQqGQzRN8m5Bmw3BNsasHwg+LA84lZYrbPp4Fgal9429NzxZTKUSdKnFIpDby+Aum5ChQqNVZGJR+wuxZ3jYnHZ5ArJGOoYYuBljEmOqZY6llgbWiOkbYJf52zxkKnEnsmNsPMoJAc8exkWFJTnIbdbRGcmIX60i90yFvEumkfFih6p4/vo93l4YQ4DcI55QIpmbkM1l7MihFtcHd4MX9epRbYG/CAJSfukpSVz+AmTkxqW+2Vzl8QBPqsukR8hpwz09s8EcjvD4mTes5Ob4OjRcm+5Fcikpnwuz8KlZpfBjWgdY2n4qhQqemx4gJpOQp8prUq9IZ0JSKZERuvkatQvbBNQwZOFgaMblGFD7wcC81LFwTxOs07EkJS1otx/sqmejhbGuJgrk8lM30qm+pRyUwfj8C5mAZuQtZlgZivHXoCNHWh3gfQZNLr1UKBp2l83mPgvZ/+MVZ8+ou9DrHXQEtPzIp5WUw7Phg2doG8TLG2y/CD4Ny06DYST/kni2bQLvHJZUktqNoa+m8put0/KZUeA8UJWyVAEvlikpgpp+vWL1HKUjkyaCmVTV9thfY8VR7L/ZezNXgrqjxLejl8xrxu3Qvc91pUCoN/u4KnkxlbRzcuuODU5ZVwfKY4OGVbB2VGPIol7vgbNKf5jL0v7q9SIKxtRXJyEp3yf6SqOpod2t+RV+t9DAase3H/f5GvVJOvUr+01G1hXApPYtBvV/jmvVp81LIqKdn5NF9wmq517VgyoH6J+vyHmJQcxmy5zr34TGZ2q8XoFlWQyWSsPBPGj8fv8uvQhnSqU3RWUUhcBtciU7Aw1MXCUAcrIx0sDHUwM9BB8xWqL2bKFfxx5T6aGjKcLQ1xsTTA0cKg4JvDfV/Y0EWc9NJNDJ2ReA+urIYb28V88GodoNtP4izPV0WeAaubg6YWjL/w2hkaAERfhl3Dod2sssktf5dR5sOqxuJNtdFYOPQpjDjy7DhHYWQlvtbTnSTyxUCuUNF503ek6OwDwEjmwO6+67A3KuIx61/cSb7DzAszCUsLQ0hvipvOh+wY0/qZaoLPsy/gAZ/uuMH7DRz46YPnFioQBDE1S8cIxpwC4NjtOKL+/IxxWkeQTboC1jWe7fDSCjjxDUnvbaDtISPqO5mxzskH3Ys/Qr+NYhy0DBm6/gq3H6RzbkZb1v4dwcqzYfhMbUU1m9efnJWdp2TazhscD4qnX0MHxraqSvcVF2hf04bVQ4pXQvmNopDDmhagyoMJl5/N/wYxlOG3ES4sE0Mk3RaBx4fFyy//h/0fi9P6Rx0Hx0alZ7sgvJodEk8J2ifeJLUNwLyKODv2DVxLaeD1JahTopizYRwpOvvomqPghwxjMpVJ9Ns/kBsJN4psm6fK47dbvzHoyCDS8tKxy/kYjZT3WT6gEVoqOSSEiJkFF36GfZNgfWcy59ZEvmcqvT3t+bRDdf7yj2XlmbBnO465Cokh0HD4k4+2+UZzwOB9cRLKuUXP7p/xEM4ugOqdsPLqy+WZ7dkyqhG67b4A+4ZivY2Mh6V1yQpkRueapOYoWOJzj82Xo+hSx65UBB7AUFeL1YMbMqV9dXb7xdJ9+QV0tTT4rmc55pwXxd8LxNS5HsteFHgQY+MtP4MJF8RCWPsmiHHwnJTi9X/vuFhRsfmU0hV4kAT+dajdC+y9QJEDjcdWiGv5361dE3UBAndDxFn8cx9yzM4Gzzw13+pUIysqgD56vblqGMI3WyYwuMaH1Leoh7GlFQ61xMG9+Ox4dtzdwe6QP0lVZNJZrmT6/VBM8mehp6FEY9mL8V+MbEnQrsaO4GpoBAXTLm8RkwdMJzo5h59O3MPZ0pAe/0wC8t8sevF1RO87PDGLC2FJTO/kjkw1RizO1GrGU2/++ExQK8UaHTLZ07CLprY4VXxNC1FIhuwtnayGxHtifLnegCePme4OprznXomNF6MAxFTOUkRDQ8bUjjVwszPmqz2BfPNeLWwrUoGtf3gYIP59PIeItVSKwswJRhwSc6XPzBVv7n3WiLHcwshJEfPMbetCm69K13aJ10Mmg/cWw8Wl4N6/vK0B/qvhmnvHxbrO2ob4mrszUTcOA01zNjdewqnlS8lMTiq0ae3hH3DKMJCT0SdRC2paq7QYnJGJk1V7joek4GpnTqta9mIxIk1tse6GZTWwdCUtLYft336OppYWRsoEHqVr4FqvLi3HTmP8X2HcjE1n0whvmtprIVtcEzwGiJ4gMOdgMFt9o7j4ZTtsNLJgab3HebnrIfwMbO0tTkRp80XBhvttgoNTSPaaiVajEZjavFqdekAckAvaJ3qQMVfEz6xqwLADTyaehCdm0ennc7SsbsWmkc95mCqFGJooLJ3sFaiw1SyV+fBbW3G25aQrTxeiKA4PA+CvMZAcJqbkNRgm/u88vzj6rhHi5KWxZ8SnAIn/PO98TF5QC8SGpOJYuxg1Tx4GwMb3wKoax5qs4LOrk9HRVrLC/jP8tvyOnrExrTs1Rf/iPG7Z9eaH2Lp4N7zFjfQLtAq2wyxFg79bZNC2US8GyAUcT/1AZve1tDtuhYmeFgc/aYGBzosPSFmpKfz57efk5eYy8H8LMddX4f9DXy4+qoSmniHeA0Yy45Yu0Sm5jNY7zSzW8VvNDVhUb0wNW2MGrfOljZsNKz58XErVZ7bo/Y0/L37p1SqY6CuGcgq8SALyLR+y/ngaOqbWjFy2Hi2dYlR+FARR0P23QtBeUGSLFQcbDAULV7H+hqG1mInxeDLHlYhkqlgZPlvlMNYPdo8Qn05GHQO9ilkp86WolOKMTm0DMYPi+TKzfy8SPfKBf4gFqV6V/Gw48Y2Y5w7i9ark8bTGeW4qHJkuDoy2mv765yNRYhKiIki6H0WtFm2QlXPO/zsv8sEXHnJmWwjN+1WjfocicnrT7sO6DqCpQ3D3HQw4PQMNnUfMzB9A7Onz2NesTY+pX2FoZg6/90e4f5l+2qt4oNBnZNf7XIzwocEJAR21JkNmzsTkj84IDt58pPqK82HJ7JvUnNqVX8x7l2dnsfO7L0mLj6P/t/OwqeyATE8PWchBUreN5UR2W2LjsqhcxwNls3609xuLXKGkW95c5Iqnf5+d45rSqMrjG1l2Mix1JwdDDBQJMPivly5i8PfGlVw/dhSAVn374D1gdNEXVhDE5dKurHkcOuojTuF2bPQ01hhzTayFom8qCr25y4t9+K4Sb0pGNpAVD1VaixNwNCtAtDAlUpx6Xn/Iy5dky8uC3SPFMNU/WFYXxd6lBRjZwtY+4vT/52c+vipJoWL648MA8RUXCMrHE7ocvGHksYpx/f6j5GSks2XGJ2SnplDF04suE6diYFJ+jss7L/IqlRqf9UGE+yfS9P1qWDaw5F58FvfiMwlPzCItR4EyO5U5ydOwUCfzvs5YYs1uoq8dyUfRLcgNjaZe+y60GzUOTa3HudYJIbC6GYm1htI4oBMDvB2Z37ceybH3+eOb6Rhry+lf+QpDdX7CL9OiwPKxirg4sm7e4NCe7SSlp9Bc0wjz+w9QJiai4+yM9dSpGOcfAb9N3Kw+m3MnLqGrp81w2xPo9ViAsuFoIpOyCXqYQb5SzQdeDs+EKELWTubw6Qg61NfH46tdRV6jjMQENkwdR836dci9e44H2UaMWvQTBg6F5Gmr1aLHeH09NB4veo4FDSCCKEJbeospfMMPgqWr+HlOCuyfJFYSdHuPU5mNSQ69QQeto1i0GlFwQaeSoJCLFRUjzoopgC4txLzw58MczxMfJNqdnSB6y33XvZix9A8Zj+CP/hB/W1zrs3IDcVwn6gJEXxJL4oJY23zSVTC0KrifkqJSiAPxcbehaps3U5flHSUnIx1tHV209Uo2niMIAvt+/J7om/407N4Hv0N70Tc2odsn03GsU6+UrS0e77zIB9xPZcvFKAz906iUKXBaLx8/PXHg085Ej0pGGnyWO4sgnRi2mjuRLkvDItuYXoHOyNJzaDtiHB4du74Y4z00Ffy3sLbudhb6ylnV3ZVEbUOijq3HMMQfwVCPoJZf0N/bkc517J5pn3//PmE9e+FnZ0aCiQENk7NxsbVHx8UFbfvKZB47Rl5oGPr13LGpFoGBeTrxXX/njx/m4GaaTLdlRYc0slJT2PzZBOTZ2Wjp6DD8x5WY2RX+xT/yy2JCfS8yculaFNF+bF60gvp2mbT7bqs4pf3fqNVwaAr4b4Hmn4oTNF4W/44LFAVTQ1OM0edlil5vZhx0nEN2zYH8OmkkapUKLU0ZLSzD8Bw6HY1GL3maKIyEO+LYSsRZsTaKUi4uImHlBglB4NZNHHAu7Mb0wF+c6q+lJ2a5nJknlgfoPFesVf7v840Pht8/EEMlH2yCGp2e7UulFGd2Rl8CBy9xUegKQlrcIxJjoqju/fqTmh7eCyExOgJ5djZ52VnIs7PIy85Gnp0FgoCekTF6hkboGRmh+/jd0MwCa2cXjC2tSzyGIggCidGRaGhqYungVOJ+cjLSObtlHXfOi9UgtfX0MTI3x8DUHENzC4zMLajXoQuW9kXXkAk4fojTG9bQdvgYGnTrRXxkOIeXLSQtLo4m7w+gyfsD0XiZg1HKvPMif+ZuAjP3BFLD2oj6sUp04vJw6WBPq+5VuZV0hT//nsl5RQoqmYxGZg1o/sCRjEtB6Ojp02PaVzjWLmTwKisBlnuiqNyCw1vycIkLZ3L7KeywXkREhg2+MWY06tWPloNGPNNMpVQSNGM6t+/c4pGJAe0Gj8Kz57M56oJKRfq+fSQuW44yIQEjh3xsulbHLzqJy/F29Jz+daFfzH88ifu3btDny9kcWDwPS0dnBnw3v8B/rvjIcLZ9OeUZW32W/o/bl68ywuMh5hP2PRV6tUrMv775B7T6XKw3XtwvVUIIbOkpLrmWnyXWSvlgE9g35NrBPZzbtoEPZs3D7/BeIvyvYW+QQecJ0zBv1Lt4/f/DrZ2wZywgiIsvV20jvpybiSVdr/wKx74Qs08G7RDt+Df3fUXR1jcTb0gWVcSb0b6J4qzUGl3JaTuXm5eu0rC2JTr7Rj+u8bJD9PjfElRKJVu/mExy7H3emzKDms1albivG8cPc2rjGv6p16CppSUKuaERuoaGIJORlyUKvzwrC7Xq2SqnekbG2LhUwdq5KjYu4svSwanIWLZSoeDe5fP4Hz1IfEQoAEbmFjjXa4CzhyfO7vWLFSIRBIHbZ304t20j+bm5eHbtgYGJKdmpKWSnpZKdnkp2aiqZSYlo6mjTZ8Zs7GsW/ISbeD+K32dOxalOPfp8+d2TG05+bg6n1q8m+PwZHGrXpdsn0zG2KOWnuSJ450X+35kWKpUan3VBhAckUrmNnG/zvsBKqaKnqTt16cy9oz7IszKp2bw1LQeNwMSq6Flm6hPzifnhN3IS9VBpaKLvXgnXmlcQhh3k5Klb3Dp5jE7jJmNR2YGY4EBi79zmYUgwinxx6nuLgcNo3KfwVCp1bi4pm7eQvGYV6rw8jBzlnHJsTI4gY8TPazAwfTE7I/jcaY6uXEKbYR/R8L3eT35vNWQU3j2eu5kIArt/+IaE6Eg+Wv4bugbirMjstFTWTx6Ni14iPWuliml8Jg5immXgzmcydV4pkyUpDH7vB5XqQY/loG+GIAhsmjYBXSMjBn3/E4IgEHzqMGc2rEKlhpb9PsCz7/DiDV7dOQg7h4uC/v66wtfXvHdCfJLQNX5WnCPOioW4TCqLAv/vmiJqNVz9FeHEt+yJqU1UhhGtbaPwqmkMg3eBqUPxrkEFwe/wPs5uWYeJtS25GekMmrsYK0fnlzf8F4Ig4PvXn1za9TtVGzaiw+iJ6Bkbo61TeIaUIAgo8uTIs7LITE4iMTqSxKgIEqIjSIqOQqnIB0DX0BD7mnVwqFUXx1p1saniioamJpkpSdzyOcqtU8fJSU/DorID9bt0R0tHh+ibAUQH3kCeJYbHbKq44lTXg8rVa1KpuhtGFs8u3JH8IIaTv60k9s5t7GvWpuOYj7F0KHjcLj0hnr/mfUtmUiLdp36Ba8Nn68go8vP4/aup5GZmMPzHXwr8bgb9fYpT61ejoaWJe7vOeHToWuQTdmlRriIvk8m6AMsATWCdIAiFBmJLnEKZGi2uHJMSASkRqJKjORrWnejcRoQ47OAjgxyuhGuRmZSIcz1PWg4agW0V15d2q8rKJmbsGHIDAqjc1ZQ88/Yk/76HKp80RG/SNlRKJXvmf8v927eetLFydMY8PQvjO/dosHkrpq7FyxVXJieTNGMgGQEPSVVrcbG6A3a5+bR0ccOgoRdGrVqi6+pKZkoSm6dPwsrRmf6zRc9dEAQOLJ5HZMA1hixY9swXOfKGH3vmz37yaJkXHo6miQla1tb4/vUnF3duY0CNCBzMZVC5vrjg8ePlzJQKBWc2riXo3ClcGzTCs2sP7GvWebngPzdj8uG9O2yf9Tmdxk3Gvd3TUEdmRAA+8z8lMsOYKvU86DPzh6L7Djslpr5W8hDL4uq+ZKJV3G34YwDkpsD760GmATuHiWMGw/aLA8EFcPX3VZw/cARdDQUG+tqMXLkN2aukQlYAslJT2Dh1HPZutek0bjLbvvoUHX19Bs/7+cmN/mUIajVnNv9GwLGD1Gndnk7jJqOh+XphCLVKReqjh8RHhBJ75zaxd4JIfSSu66qtp4+VoxPxEWGo1WqqNvDGs0sPnN3rP/N/oVarSIgIJ+pWAFE3/YkLu4tKKT45GFtZU6l6TSpXr0luZgbXDvyFtp4urQaPwr1tx5c6EjkZ6exd8B3xkeF0GvsJddt2fLLt5PrV3DxxmPdnzsHFo0GhfaQ8jOXC9i2EXfdFUKtxrueJR6duuDZo9NrXrzDKTeRlMpkmcA/oCMQC14APBUEILmj/koq8OmAXiq3j0DXXEh+9Larys5BHyqWqmCcnIqiTsa1ajZYfjsC5XvHqqKiysogZM5bcW7ew/6QPJnHLUWnZEL5LEz3PRjhtEosOybOyCDh+ECtHZ+xr1kErPYPwLl0xHzwIu5kzX/lcBLWa/OhoLm/biN9tf7yylNiER4OWFi67d3F035/EBAUy7McVmNs9DUPkpKex6bOJmFjb8OH3P6GppYVarWLrF1NQ5ObQu2k7MvfuR377NtqOjlTZuwe1thYbpozFyNiAQZbHkMlToeP30HwyGUkJHFwyn7jwUKp5NyE2+Dby7CxsXFzx7NqDms1aFS8FEzi+Zjl3L51j/Not6Og/W6hMiLzA5cWTuJzoyKBpH1OpcZeCO4m+BFv7glU1cXC3sLrpz5MZJ3ruDwPE8QI7d3HBjEKqMT68F8KO777AtYE3VR0MOb73FAO+W/BkEtybQK1SoVar0dIu+RKBR1b8xD3fCwxfvApzu8rE3rnNru+/poqnN70+m/lSsVMplRxb9TMhF/+m4Xu9aD1kdJmlCWanpT4W/NvEh4dR2a0W9Tt3x8y2eKucKRUKEiLDeRR6l4ehITwKDSEzKRGAWi3a0HroaDFjrpjky3M5sHge0bcCaDFwGI16f0D49Svs/+kHGnbvQ5uhxRtHykxJ4vZpH26dOkZWSjJGFpaid9+x6yvZUxzKU+SbAt8JgtD58e9fAQiCML+g/Usq8hkH9vBgxtfourmhbNmcQHU69276o6PUQFPHGrPKrRk2b2ix76KqzExiPhpDblAQ9osXY9KxA/zaGuJukaw1lIRtp3DasB7DZs1eaPvw66/JOHQYV58TaNsU7CkWB7VKxfZvPyctPo7Bn31DwohRPKpRhev5mbQdc2RYvAAAIABJREFUMY4GXXu80Cb0yiUOLJlHsw8G06TvAPw3/MpZn0N4PkimUlIaum5uGLVuTfK6dZj26E7lhQu5ffYkx1cv5b1Rw6lZxRRqdCI68AaHly1CpVTQZdI0qns3RSGXc+fCWfyPHiA59j76JqZ4dOxKo94fFPnoni/PZc24YdRo0pwu/2/vruOrLPsHjn+unXUH62AbGzWakaK0lFKCYIGChYXdPurPeEx8sDARW5FGWjokR4yNXhfrOotT1++Pg8jYBoPtbDCu9+t1Xmx3Xvfh7Hvu+4rvNePxGrep3PMzX3z4Mx3csxg8sL25LeDcuu/0GPh+tLlHyd0rLz2Rk67M3Ihenm+u4qmlQbtCW8qPz80E4K53Z6PRWPPFg1OIiO7FiEcuMFHzZZAmEwfWrSR2/Rp0FeUYKisx6HToKysxGQ0IKyt6jplA31vvuORGvLT4w/z++vP0Hj+J6yb9m2QsZuVSNn7/9UWrEPWVFSz/6B0S9+89G+SuyIFnF1Can0dlWRleQZc3EYfRoGfNnNkc2baJjoNu5MTuv3Ft4cNtb35wyV++JqORUzG7ObRuFUkHY9BYW9Pu+kFE3zS21qqjS3WhIG/pjraBQOo5v6cBVSq6hBD3A/cDhIRc3gXbdu9FyZTb2HlwH/l7NmNlMuFTWUa3PgMxRYxh5/p8UjfF0sKhDGNhIYbCQoyFhQiNNRo3VzSurli5uqFxc8XK3p6MF1+i4uhRgv73ES5DzvQ9H/81HF+NR/SDFGwYRfYHHxK6oHeVuxtdaipFS5biccft9QrwAFYaDcNnPMGPzz/Gpj8X0W3aPRxYtwT/oJZ0HVbzIJvIXn1p128AOxf9huanX9kjdLhJSbuhI3CfcAv27dsjhEDY2JD72Wc49etH+1EjiVmxhK3LVxMxaw4xSxew7dcf8AwMYvRTL+IZYK6HtrG3p9OQ4XQcPIyU2IPErF7GzoW/UVFawuBpM2q9juN/b0NfUV7lsfd8dj3uoFWPBI4e2seAk1vRHFkOrYeb0zbYOJh7wTh6wF1LLitTn7S256DTaLSGArobNdTUcU5KydovP6Y0P5dJr72LvZO5V067fv2J27Segfc8cHZZfRVmZbLmy9mkxR/GP7INLUJCsba1xcbWDmtbW6zt7MhPT2PX4vlknjjGqJnP1rkPtsloZP13X+Dq7UPPsROrrOs6YjSZJ4+z/fef8G0VSWinrlXWG3Q6kg7tZ/eS+WSePM7Q+x6h05BanqyucM6eXtXq5y+FxtqGEQ8/iaObG/tWLMXazo5RM5+5rKcrK42GyB59iOzRh/yMdGJWLiVu018c3riWsK7RRN80juCoThb7IrX0nfwEYLiU8t4zv98F9JJSPlLT9pd7J3944zrWfDEbD/9ArCI8ORb3JxMz/HE4lorRypbtfd7Eo/A4HeMunG73bLltbAicPRuXQQNrXF+0bBkZzz5HwAcf4HbTvwE346WXKF7+J63WrcPGt35B/h97ly9i809zcfX2QZt9mkElJjouXYqopaqkvKSE7+6/k0qDAZOVYOKL/0fIefWH0mAgecpUKo8dI2zJYjIKcln41it4+AdQkJlB6z7XM+zBx7C1v3D+8Y3ff03MyqUXrM749T/PUl5SzD2z5lzwQ5wQs4fF777OmJlPEKHfZ06zXFFoni7OwR3uWXU2HW9lWRkrP3mfwLZRdB1x8wWfJIpzslk953+kxpnbTexdXOk74TY6DRmBxvrfe5yD61by1zefc/3td9NzzISzy08nnOSnFx5n0LQH6Tqs5rTRdSVNJvavWcHWX+dhZaVhwNR76TBgaK3vS+yGtayfOwcHVzdufvx5Alq3veg5/rlbH/3Ui0T2rP6kqa+o4JeXn6K0sIC7/vs/HNzcSDqwj+M7t5MQsxtdeTn2Ts4Mue8R2vTpV6/rbQ6klMRv2YCTh2e1L8X6KCsu4uC6lRxYs4KyokJ8QlvRZ+LtRERfZZOGNFZ1jb6igsyTx3AMD2TM0jG09mjN3GFzMWRkULp1GwcSnTmSbM8tE51xD/FE4+6Oxs0NaTJhLCrGVFyEsbgYY1ExxuIi7Fu3xr597ZM5SJOJxPG3YCotpdXKFQhbW3Spqea6+Ntvx++lS6+Lr43JZOT3114g41g81/UbjNtnX+H74gt4TplS4/aFixZz6L9vsCc8gFbRvRj7zCs1bqdPTydh7DjswsNp+dOPLP7gTZIO7eeGO+6h+6ixdbqr0FdUMO/ph9FYa7jrvU+qBdv8jDS+e+LBaoGzJkaDgS9nTCW4XQdufvIFcz/7Pd+Y5xm9aZZ5wuQzdi9dwNZf5gHg4uVNv9um0O66/lWeqqSUxG1ez8Z5XyIlDJx6Hz6h4Wz+aS6pcYfw8A/khjvuoVV0L3JTkvj5pScJbt+R8c+/Vq3u+cfnZiKlibve/fiC70tRdhb5Gek4e3ji5OGJg4vr2e0LsjJYM2c26UfjCOvSnaH3P4qL18W72J1OPMXyWW9TkpfHgCnT6TLsplrLoC0sYO7jDxDQui3jX3i91u0KMtP56YUnsHVwoFKrRV9Zgb2LK5E9etO613UEd+hc5QtQsRyDTkf81o3sW7GEToOH0X3UJXYnPqMpg7w15obXwUA65obX26WUcTVtX98EZS9sfYHVSatZOHoh4W7/zilaWlDJjy/toEP/QK6fVMuIxktUunUbqffdh++LL+I55S4yXn6Z4mXLG/Qu/uy5CvJJPLCXqBsGk3bffZTHxROxZjUa96o9PnTJySSMG49Dhw6IZ5/EJ7QV9s61VzEUr1xJ+pNP4TXjQdwfuB9tYUGVxty6SD50gAVvvVzjeIEtP3/H3j8X88Cc7+vU0LRh3pcc+ms1D375Y61VIwadjm8enY5XcEt6jb2VzT99S3biKXzCWtH/zumEdOhEWVEh677+lJN7dhLYNooRDz+Bm4+5EU9KSULMHrb8NJf8jDSC2ndAW1iIrkzLlPc+qbFb3IG1K1n/7efc8dYs/CJq/vwUZmXy4/OPoSsvP7tMY22Nk4cXTh4e5CQlorG2ZsDU+4jqP/iSHs0rSktZ9dmHJMTsoe11/ek3+S5cvX2rHWPVZ7M4un0LUz/4DM+AC8+DkBCzh00/fE1wVCda9+pHUPsOKrA3IWkyYTIZ/x1xf4marE5eSmkQQjwCrMHchXJubQG+vnZm7uTPhD+5v9P9VQI8gLOHHZE9fInfkUnPm8Owc6z9jTy1P5vC02VE9QvE3rn27Zz6XYdj797kzpmDY88e5rr4225r8ABvLr8nHQeaux76PPc8iePGkfPZ51WeGKReT/rTzyBsbAh4711s/C7eM8F15EhKt20n74svcerTB4+e1fOSm8rLMRYWYuNfc1/flp260GHgUPYsX0Tr3v3wDTd3GTUaDMRtXk94tx517knQ/vpB7F+1nOM7t9FpcM11wXGb16MtLGDko08T0qETd779EUe2b2bbbz/wxxsv0rJTV7KTEtCVael/5zS6jRpTpeFSCEGr7j0J69KdQ+vXsOOPnykvKWbCS2/UGODBXC+/+advObRhTY1B3mjQ8+fs9xBWVox/4XX0FeWUFuRTmp9HaUE+2oI8Inr05oY777msATL2zs6MfeYVdi9dwPbff+Lo9s3YOjjSIiQU75ZheIeEorGxIX7LBnqNu/WiAR4gvFsPwrv1uOSyKJYhrKzQWKj3UrMYDFVprOSWZbdgkiYWjV6EvXX1prWclBLmv72HPuNb0e3GmgeEpB0rYPnsA5hMEms7DVHXB9BlcAjOHjXX+ZbHHiZp4kQ0bm6Yysstchdfk8z/vErhokWEL1uGXbi5njp71kfkffUVgbNn4zrsxosc4V8mrdZc9VRZSfiSxQhbW8r276ds9x7K9uyhPDYW9Hrcxo/H97ln0bhVbwCs0JYy76mHcHRz5463ZqGxtubk3l0sff8Nxjz9MhE96jbM/59BUw6ubkx+/d3qZTUamfvEAzi4uHL7mx9WuZPV6yrZv2o5uxbPx83Xj5EPP0mLkNCLnrOyrIySvJyLDhJa/fn/OL5ru7kb6HltFZt/msve5YsY/eSLRPaqXg/ekHJTk0k/Gk9OShK5KYnkJCehKy8DzFVX98yac9k5WZSrV1P2rmkUf576k+TiZL4c+mWNAR7AO8SFwDbuxG5Mo/PgYDTnTctXlFPO6q9icfNxYNCUdsRuTuPQhjRiN6bRtrcfXW9sibuvIyajifxMLacTizmdpCF94H8pNTrgZldJzuZC/FuBfys3nNzrnzO9Nt6PPUrxihVkv/cewV/MQbtzF3lff437xAmXFOABrJycCPjgA5Juv52E0WMw5OeDwQAaDfZRUXhOuQuMJvJ//JHSrVvwe+UVXG+seg57J2cGT5/Bsg/eYu/yRfQadyuHN67F0c2dsK7mz52xpISixUsw5OVh37499lFR2AQGVAnUQgja3zCIbb/9QFH26Wo574/t3EbR6Sz63zW9WlWFja0dPcdMoOuIm7G2tqlzn247R0fsHC8+CrTjoBuJ2/wXx3ZsrTKgK/HAPvYuX0TnoSMtHuDBPNju3C8kKSUluTnkpCTi4R+kArxSTbMI8uMixxHsEkxP/wtPg9ZlSAgrPjvEqZhsWvf4tzpDV2Fg5ZxDIGHkQ51w93HEL9yNXjeHs39dCke2Z3JkRyZeQc4UZpVh0JsAsHOyxifcH6+kWCoCOxK/NYNDG9IAcG1hj1+4G3ZONVf5BLXxIKxzi8vqNmXdogVeDz5AzoezKF61itPvvItty5b4vnB5swQ5dOyA38svU7x8OW5jx+LYowcOXbuicf53ZKTb6JvJeOll0h+bSfGNN+L3ystYe//bnTGyRx9a9+7H3wt/JaBNOxJi9tB91FiMmZnk/PgjRQsWYiorA40GjObkcRo3N+yjzAHfsWcvnPpdR7t+A9j22w8c2bqR3rdMPnt8KSV7lvyBV1AIEd1r74FQU08bY2EhBb/PR+p0eNx5B9YeF68+MpaUULZnD8433ICwtiagTTs8A4OJXb/mbJAvLchn1WezaBESSv8pl5lorZ6EELh6++DqbfknyIZSsnEjhQsX4vPkk9iFh198B6VemkV1TV1Jk+SX13dhY6dh4gvRCCGQJsnKL2JJPpzHzY91Jrht9ZGQZcU6Dq5P5XRiEV5BzviGuuIb5oprC4cqQdpoMJGbWkrmqUIyTxWRnVSMvrL6NIBGo8RQaSS0UwtumNwaF89Lv/syVVaSMHIU+vR0sLEh9LdfcYiy7HynUq8n77t55H76KcLBAd9nn8WxVy+snByxcnKivEzLvCdnYNDrMOh0jPAMRGzeBlZWuI4YgefUqdhFRlB57BgV8fFUxMVRERdPxYkToNfj1LcPvi+/zJIfv0JbUMA9H31x9v39p4vl8IeeIKr/4DqVV5+ZSf68eRT8sQBZVgZCYOXoiOc99+B591Q0NTRKG/Lzyf/hBwp+/gVTSYm5t9R/zD2U/skFM+X9T2kRFMKCt14h4/hR7vzvRw02qKU5MxQUcPqttyn+808ANB4eBH/ztcU/t9eCZp+g7FIc3pLO5l+OMe6prgREerBzySn2rU7m+kmRdBp4eaPjLpXJaOLghjR2L08AIeg9OpyOA4Owsrq0u/riNWtJnzkTn2eewWv6NAuVtrrKhEQyX3mF8n37qq6wsSHD24MD3i54aMvpl6PFffJkPG6/DRvf2qcbNOl0FP7xBzn/m42pooL8UUPZmXiM29/6EP8Ic9fJX//zLCV5OUyf/fVFe4FUnjhB3jffUrRiBUiJ66iReE2/F6GxIufjTyhZuxaNuzteDzyAx22TsbK3R5+VRf5331Ew/w9kRQUuQ4di5eJM0cJF+L32Kh6TJ1NWXMRXM6bSaYh5WPq2335g6P2P0mnwsHq/p+cyFheT/+OPuI8di03gxRtRr3RSSopXruT0m29hLC2lxYMP4DpsGCn334+puITgL+bgGF1jfFLqSAX5c+h1Rn54YQf+EW5ERPuw7tt42vcLYMAdbRp96HZxbjmbfz1OSlwe3iEuDLyzLd4hF0m6dR59ZmatPV8sSZpMaLdvx5Cdg0mrxVSmxaTVYiwtJTYjmZBOXWk97V6sHC48oOpchrw8sj/4kNylS1nfIZS27Tsz/NW3SD8ax++vPV9rOgcwB5KyXbvJnzeP0k2bEA4OuE+YgNfdU6sFyvLYw+TMno122zasfX1xjI6meO1aMJlwu+kmvO6/D7tWrZBGI6kzZqDd8Tch336LU6+e/Dn7PRJi9mDQVRLZ6zpumvlsg35ujKWlpEyfTsXBQ2jc3Qmc9WGN6TOuFvrT2WS9/jqlGzZg37Ej/m+9iX1rcw8lfVYWKdOmo09PJ+iTj3G+4fJTIV/rVJA/z65lCexdlYTG2gqfli6MebwrGuummaNRSsnJfdlsnX+CihId3Ya1pNfocMQl3tU3J2UxMSx7+1VypIGbnHzY7W5PXmkR982Zh41d1aotqdNRtHIl+d//QOWRI2g8PPC4/fY61b1rd+8m56P/UREXh/uEW/CcNh3boKpfCMaSEpIm34YxN5fQBX+QWZjHgjdfxtXblynvfVznjI51YdJqSTmTFM/3+ecp/P13Kk+dwufJJ/CcXr2x2RLMX947cOwRjVUdG3GlwYAuKQlDdjaGnJwqr9Kt25A6Hd6PPYbn1CmI857CDPn5pN57HxXHjxP43ru4jhxpictq9lSQP4+2qJIfXtqBk6sdE1+IxsGlbtkULalCq2f7wpMc3ZFJm95+DLqrLVaapp0cuCmd2v03Sz58i7YllRx1saN1Zh7tbJxw7N0Lp969sY+KomTtWgp+/sU8nWJEKzynTsXt5pvrHJz+cbF8+brkZBJvnYS1dwta/vILMRvXEt41uk5dNOvKVF5O6v0PUBYTY06KN3wYJq2WjJdfpmTValyGDyfgrTexcmq4L5XzSYOBzFf+Q9HixbgMH07gR7Mu+sViqqwkZcpUyg8erLJcODhg7eONXWQkvk8/jW1oaK3HMJaUkDpjBuX7YvB7/TU8bq09eZpSMxXka5CVWISzux3OHldOlzMpJXtXJrF7eSJhnVtw471RWNs07jRiVwqjwcCXD06hvKQYGzs7Jg66CeO+GLS7dmMqLj67nVO/fnhOnYpTv+sseqer3bmTlOn34nz99QR99imiAfOCmyoqSJ0xg7Jduwl4770q+ZCklOTP/Y7sDz/ENjyM4E8/PRswpcGAITsbfUYG+sxMbMPCcehweY2YUqcj/ZlnKVmzBseePSnbvRuf557D6567a99HSjKff4GipUvxefZZ7KOisPb2xtrHGysnp0v6/zCVl5M2cybaLVsvel6lugsFeaSUV8yre/fuUpHy4IYU+ekD6+XiWTGyslzf1MVpMn99O0d+cOsoufmnuWeXmQwGWRZ7WOb/8ousOH68UcuT9/PPMr5NW3n6gw8a7JjGigqZPP1eGd+2nSxcsqTW7Up37JDHevWWR7tHy8Tb75DHBwyU8e3ay/g2bau80p56WuoyMi6tDGVlMvne+2R8m7Yy97vvpMlkkqmPPCrj20dJ7e7dte6XN2+ejG/TVmZ/+uklna82pspKmTrzcRnfpq3M+fzzBjlmXelzc2XSlKmyaM2aRj1vQwH2ylri6jV7J3+lO7ozkw0/HMU7xIWbH+2MfS397Zuz/Ix0Nn7/FSMeeqLWlAONLfO11yj87XcC3n8ft5svPyulNJkwZGaS9cablG7ahP9bb+J+yy0X3Eefnk7WG29iKivDxt8f6wB/bAICsPEPwNrHm+JVq8if+x0Igde99+I1fdpFG76NpaWkPTiDsn378Pu/1/GYOPHs8qQJEzGWlhK2cGG1kdzav/8m5d77cB44gKCPP26wCUWkwUDmSy9RtHQZXg88gPfjMy3eFmHS6Ui5Zxrl+/ah8fSk1epVaFxdLXrOhqaqa65SCQdyWPPNYdx9HBn9WBccXW0pL9WjLapEW2h+lZfqsbW3xsHFBgcXWxyczf/aO1lf03X6liL1enNAiIsjbP7v2EVGXnQfQ0EBpZs3o0tMQpeYiC4pCV1yMrLSPA+w32uv4TF5UoOUT5+ezukPPqBk1Wqs/f3xeeopXEeNrDFQGgoKSL3vfiqOHq2x0bPyxAkSb52Efbt2tPx+HuJMLnVdWhpJt0zA2seblr/+VmXQXEOQJhNZr71O4fz5eE6dgs/zz1ss0EspyXzpZYoWLcJrxoPkffElnlPuuuyBhU1FBfmrWOrRfFbOiQUpMRnNrzoR4ObtgHewCy2Cnc/864Kja9M3Ml/t9NnZJI6/BY2LC6F//HHBIKc/nU3ynXeiT00Fa2tsg4KwDQ3FNiwM29BQ7DtEWWQwUNnevZx++79UxMdjExyMtZcXVk5O5pezM1ZOTmj/3oE+JZXA2f/DZWAtcyesWEHGU0/jMeUu/F58EVNZGUm33Y4+M5OwP+Zj2/LSJgavKyklp9/+LwU//oj7pEn4vfqfGp8WTFotaDSX3Nj+j7x588h+511aPDQD78ceI/PV1yhcsIDwpUuwi6jb/MznMhYXUx4bi6mkFNfhDTt+4kJUkL/KZScXE7c1A3sna5zc7cwvN/O/Di426MqNlJfoKC/VU16io6JUT1mxjvwMLTmpJZTkVZw9lpObLe2vD6THqNCrbkq3K4l2925S7pmGy9ChtfZCMeTnk3zXFAyZmQR99imO0dFn74YbgzQaKVqylNJNmzBpSzFqzWMZTNoyTKWlCHs7At9/H6feF04gd/q//yX/+x8IeP99Stavp2TtWoK//BLn6y07qYiUkpxZH5H39de4jRmD98zHqDh+nMqjR6k4cpTKo0fRpaRg5eKC9+Mz8Zg06ZIaxEu3bCH1wRm4DB5M4Oz/IaysMBQUcGr4COzbtyNk7twL/o1Io5GK+HjKDx2i4tAhyg/FoktMPLs+dMGCy24Iv1QqyF/jKrR6ctNKyU0tIe1oAcmH8+g+oiW9x7Sq13HzM7V4+Dpes3368779luz3P6hxEhdjURHJU+9Gl5REyNdf4djj6k3rK/V6ku++h/L9+8FkwueZp/Ga3ji5eqSU5M6ZQ+7Hn1RZbhMSgn2bNti1bUPZnr2U7dyJffv2+P3nFRy6dLnocStPnSJp0mRsgoII/eVnrBz/nWA+/+efOf3GmwR+PLtaMr5/GEtLSZvxEGV79gCg8W6BQ6fOOHTsiF1kBGmPPEqLhx7C+9EaJ8FrcCrIK2dJKdn08zHit2XQa3Q40SNDL/kYRqOJbb+f4PCW9CYbLXwlkFKS9uijlG7aTMsfvsexm3maRWOplpTp06iMP0LQ559b/I63Meizs0maPBmnXr3xf/utxh8dvm4dhtPZ2Ldri12bNlXyDkkpKTmTqM+QnY3bLePxeeoprD2r56ECc1tE0qTJmLRawv6Yj01A1YlypMFwdua38JUrqlUFnTuAy/f553EZNBBrf/8q70nSbbcjKysJW7SwAd+F2qkgr1QhTZL13x/h2K4srpsQQZchdU+uVVGqZ/XXsaQfK8Qv3JWshGJ63hxGj1FhFizxlctYXEzihInIigrCFi/CytGR1Pvup2z/foI+no3L4LolU7saSIOh2ojVK4mxVEvunM/J//4HrBwd8brnbjQe5wT6M0G4ePlyyg8eJOT773HsVvO8rdpdu0mZOpUWjz6C98MPn12uz8wkZfq95lQMH8/GuX//GvfP/eprcmbNImLzpgvmbWooKsgr1ZiMJtZ+G8+pmGz639aaDv2DLrpPXkYpKz8/hLZQx8A729C6lx/r55m/LAZNaUu7vpc2dWBzUXH0KEmTJuPQtSvC2hrt9u3mLpbnDGpSGk/lyZNkvfEmZbt21byBRmPusjr2wvOppj3xBKUbNtJq5QpsAgPRJSWRPG1anZKqVZ44QcLNoxu059SFqCCv1MhoNLH6y8MkHcpl0JR2tOtbe6KzpEO5rJ0bh42thhEzOuIXZp4hymgw8eenB0k/XsiohzvRMsqrsYp/RSlctJjMF83TMfq/+QbuEy48cbliWVJKjPn5yDNzF3BOmLOyt6txhrPz6TMyODVyFM79+9NixoOkTL8XTKY6pUeWUnJq6I3YtWpF8Jdf1OdS6kQFeaVWBr2RlXNiSTuST59xEXj4OaKxsUJjY4W1jRUaayuSYnPZuTQB72AXRs7oWC0VhK7cwOJZMRRmlzPuya74tLy6BpI0lLy532Hdwgu30aObuihKA8mdM4ec2R8jHB3RuLoSMvfbOk90kvXW2xTOn0/rnX9fUjbWy6GCvHJBep2RFWfuxmsTGe3DwCntsLGtuYuatqiShe/uw2AwMeHZ7ri2sOyHWlEag6myksTRYwAImfvtJeX31+7YQcq06QR9/jkug2oeh9BQVJBXLspkkhRkaTHqTRj0JoxnXga9CRt7DSHtPS/aoyI/U8ui9/fh4GLL+Ge64eCsBl4pVz9jqRZha4OV7aV9nqVOx/E+fXEdORL/N/7vwtteJBPqxVwoyKtx7woAVlYCrwBnfFq6EhDhTnA7T0I7tSCiuw8to7zq9AH09Hdi1EOdKMmr4I+395JxovYnA0W5WmicnS45wAMIW1uc+vWjdNMmpMlU63bSZCL13vsoXGiZ7pYqyCsNyj/CnbFPdUVoBEtmxbBzySmMxto/4IrSnDkPHIAhJ4eKuPhatyn+80+027ebJ7m3ABXklQbnF+bGpJd60KaPP/tWJ7PovX0Uni5r6mIpSqNz7t8frKwo3bixxvWm8nKyZ32EfYcOFmuwV0FesQhbe2sGT2nHsPs6UJRTzu9v7SZ+WwZXUhuQoliatYcHDl26ULKp5iCfN3cuhqwsfJ9/rsHSNZ9PBXnFoiK6+zD5lZ74hrmx8aejrJwTS2lBxcV3VJRmwnngACrjj6DPyqqyXH/6NHnffIvLsGEXHFhVXyrIKxbn7GHPmJlduG5CBGlH8vnltV0c2pjgYrlxAAAXA0lEQVSKyaTu6pXm7580zqWbNlVZnjPrIzAY8Hn6KYueXwV5pVEIK0GXISFM/k8v/Fq5sfX3Eyx8bx+5aaVNXTRFsSjbVq2wCQ6m5Jx6+fLYwxQtXYrn1CnYBgdb9PwqyCuNys3bgZsf7czQae0pyStn/tt7+HvxSfQ6Y1MXTVEsQgiB88ABlP29E1NZmXlClHfeQePpideDD1r8/FduSjml2RJC0LqnHyFRXuxYeJKYNSkc332aqBsCaX9dgJq9Sml2XAYOpOCHH9H+/TdSb6B83z78Xn+9SspkS1EjXpUml36sgD0rk0g/VoCVRhDe1ZsONwQSEOl+TeapV5ofqdNxvO91OA8aSHnMfqwcHQlbvOiSZrK6kAuNeFV38kqTC2zjQWAbDwqytMRtyeDozkxO7s3Gw9+Jjv3Nd/caG1WzqFy9hK0tTtf3o3jZcsCcB6ehAvzFqL8c5Yrh4edEv1sjmfrOdQya0hYbWyu2/HacX/9vF0mxuU1dPEWpl3962TgPGIBT376Ndl51J69ccWxsNbTrG0C7vgGkxOexbf4JVnx2iJYdveg3MRJ3H8eLH+Q8JfkV6CoMeAVYvg5UUWriPGgwbuPG0eKhGY16XlUnr1zxjAYThzaksWdFIkajiS5DQogeEYqNXd0ed4tzy1n43j7KS/X0GBVK9xGhWF2jk48rzZPKQqlc1TTWVnS9MYQ7/q83kd19iVmdzM+v7iT9WMFF960o1bP8k4MYDSbCOrdg9/JElsyKoSRfjbpVrg0qyCtXDSc3O4bc057xz3TH1l7Dso8PcHRnZq3bG3RGVnx+iOK8ckbO6Mjw+zsw+O525KaW8vubuzkVk92IpVeUplGvIC+EmCiEiBNCmIQQ0eete0EIcVIIcUwIMax+xVSUf/m3cuOWZ7sTEOnO+nlH2L08oVriM5NJsm5uPFmJRQy9J4qASA+EELTt7c+tL/XAzduB1V8dZuNPR9VALKVZq++d/GFgPLDl3IVCiPbAZCAKGA58LoRonP5CyjXBztGGmx7pTNu+/uxZkcRf8+Ix6s1566WUbP39OAkHcug3MZKI7j5V9nX3cWT8M93pemMI8dsyWPDOXvSVKtArzVO9gryU8oiU8lgNq8YAv0kpK6WUicBJoGd9zqUo59NYWzHorrb0Gh3O8V2nWfbxASq0emLWJHN4czpdhobQeVDNeUE01lb0HR/ByBkdyc/QErMmuZFLryiNw1J18oFA6jm/p51ZVo0Q4n4hxF4hxN6cnBwLFUdproQQRI8MZej09mQlFvHbG7vZuSSByB6+9B3X6qL7h3X2JrKHL/vXplCUU94IJb64hP05/Pp/u+rUsKwoF3PRIC+E+EsIcbiG15iGKICU8ispZbSUMtrb27shDqlcg1r38GPMzK4Y9SaC2noweEo7RB27SfYdH4HQCLYvOGHhUl6YyWji78UnWfVlLAWZWtZ+G0dZsa5O+xr1JgyqbUGpwUUHQ0kph1zGcdOBc5+Tg84sUxSLCYh0Z8p/+6KxtrqkfvDOHnZEj2jJziUJpMTlERLldcHtdeUGbOw1DZpXp7xEx5pv4kg/VnAmUZs/iz6I4a/v4rj50S4X/MIqya9g8QcxuPk4MObxrg1WJqV5sFR1zTJgshDCTggRBkQCuy10LkU5y8ZWc1kDnboMDsHN24Gt809gNNQ+8XjCgRzmPrONNV/HXXC7S3E6sZj5b+8hK6GIQVPaMeD2Nvi0dOX6WyNJPVJAzNra2wvKinUsm32AkvwK0o4WkJVY1CBlUpqP+nahHCeESAP6ACuEEGsApJRxwHwgHlgNPCylVM+SyhVLY2NFv1sjKTxdxqGNaTVuc2xnJqu/OoyTuy2nYrJZ9WVsvapITCbJ4S3pLPpwH8JKcMsz3WnX1//s+vb9AoiM9mHXskQyThZW27+yTM/yTw5Qml/BTY92xs7RmgPrUqttV5PctBJWfxVLeWndqoOUq1e9ctdIKRcDi2tZ9xbwVn2OryiNKbRjC1p29GLPikRa9/TFyc3u7LrYTWls+e04gW08GDmjIyf2nGbTL8f487ODjJzRCVv72v+UMk4UkBKXT1mxDm2RjrLiSsqKdJSX6JASQqI8GTotCnsnmyr7CSEYcEdbTieXsO7bOCa91BN7Z/M2+kojKz47RH6GlpEPdaJllBdR1weyf20yRTnluHk71FoeKSWbfzlOVkIR9s62DLi9TT3fOeVKpka8Kso5+k2IxGgw8ffiU2eX7VudxJbfjhPaqQU3PWIO6FHXBzLk7vZknChi+ccHqCzTVztWdnIxyz4+wOIP9xOzNoWUuDzKS3Q4udvRsqMX3UeEMuSe9ox6uHO1AP8PWwdrht/XgbISHX99H4+UEqPexKovY8lKKGLotChanmlD6DQwCGElOLjhwnfziQdyyUoowsPPkfit6eSmldTjHVOudCoLpaKcw93XkS6DQ4hZk0yHGwJJPJhDzJoUWvf0ZdDUdmg0/94Xtenlh7WtFWu/iWPJR/sZ/VgXHFxsyc/Qsmt5Agn7c7B3sqHvLRF07B+Ite3ljQf0DnHhulsi2Pr7CfavTSE7qZjU+HwGTWlbZaCXk7sdrXv6cmR7Bj1vCqvxi8NoNPH3klN4+Dky7ulu/PLqLrbNP8GYJ7qqCVqaKRXkFeU83Ue05NjOTJZ9fAB9hZGoGwLpP7l1jT1cWnX1YeQMDau+jGXxhzH4tHTl2O4sbOw09LgpjC6Dg7F1qP+fWccBQaQdLTj7hNFvYiTt+gZU267LkBCO/p3F4S3pRI8Irbb+yPZMCk+XMXJGRxycbek1JpzNvxzjVExOtZHB5zLojGz+5Riu3g50G9YSjbWqBLhaqP8pRTmPrb01102MRF9hpNuwEPrfVnOA/0fLDl7c/EhnSgsqORmTTdchIUx5sy89bwprkAAP5vr5QVPa4RfuRp9xreg8uOaRvF6BzoS09yR2Y9rZNA//0FUY2L08Af8IN0I7tQDMjbtegc7sWHiy1kZkk9HEmm/iOLozi93LE809gVQvnquGyievKLUoK9Zd0qTixXnlWNtomnwi8tQj+SybfYBBU9pWudvfvTyBPSuSuOW57viFuZ1dnnasgKUf7afX6DCiR4ZVOZY0STb8cISjO7O4YXJrXDzt2fTLMbRFlXQeFEyv0eF1zuuvWI7KJ68ol+FSg7Wrl0OTB3iAoLYeeAU5s39d6tnsnNqiSvb/lUqrbj5VAjxAUBsPWnX1Zt/qZEoL/s2zL6Vk+8KTHN2ZRc+bw+g4IIjQTi24/dVedLg+kIPrU/ntjV2kHslv1OtTLo0K8orSzAgh6Do0hIJMLSlx5gC8Z0USJr2J3mPDa9yn7y0RSBNVexWtSubg+lQ6DQwiemTo2eW2Dtb0v70N457qipXGimWzD7D6y1iSYnMxGhtmgJjScFTDq6I0QxHRPvy9+BT716Xg2sKe+G0ZdOgfWOv8uK4tHOgyNJh9q5Lp0D+IvLQSdi1LoHUvX/pNjKyx501ApAeTXu7BvlXmrJ+n9udg72xDZLQvrXv54hvqqnrsXAFUnbyiNFMxa5P5e9EpWgQ7U5RTzl1v9MHBpfbqJF2FgV9e3YmwEpQWVhLawYvhD3as0m20NkaDidT4fI7tyiLxUC5GvQk3bwc69A+k8+BgFewt7EJ18upOXlGaqajrA9m7Monc1FJ6jQ6/YIAHc6+iPuMj+Ou7ePwj3Bh2X4c6BXgw5+cP7dSC0E4tqCw3kLA/myM7Mtm+4CTWtho63FBjpnGlEaggryjNlJ2DNZ0HBXN8d1atXS7P17qnL3aO1gREul/24C07B2va9Q2gbW9//vzsIFvnH8c31BXvEJfLOp5SP6q6RlGaMSklSOqcW7+hlZfqmP/WHqw0gltf7IGdY83pG5T6UV0oFeUaJYRosgAP4OBsy7D7OlCaX8n6749Um3BdsTwV5BVFsSi/cDf6jG9F4sFcDq6vWyrk8yUeyiU/U9vAJbs2qCCvKIrFdR4cTFjnFvy96BRZCXVPiWA0mtj86zFWfn6IdXPj1JPAZVBBXlEUixNCMHhqO5w97Vjz9eE6TVZSodWz/OODHN6cjn+EG7mppaSpyc0vmQryiqI0CjtHG4b9kxt/bvwFA31+ppY/3tlL5qlCBk9tx+iZXXBwteXAupRGLHHzoIK8oiiNxjx3bWtS4vP57tntLPloP7Gb0igtqDy7TVJsLgvf3Yu+0si4J7vRto8/1jYaOg0IIiUun7z00ia8gquP6kKpKEqjy0kt4VRMNgn7cyjIKgPAL9wVr0Bn4rZl0CLImZEzOuHiaX92n4pSPd+/sJ2IaB8GT23fVEW/IqkRr4qiXFG8g13wDnah95hW5GdqSdifQ8KBHOK2ZtCqmzeDp7avlsLY3tmGdn39iduWQe+xrarMwavUTgV5RVGalKe/E57+TkSPDEVXYbjgpOidhwQTuyWdQxvT6DO2VSOW8uql6uQVRbliXCjAA7h5O9KqizdxW9LRVRgaqVRXNxXkFUW5qnQZGkJlmYEjOzJr3SbpUC5b5x/HVM/89sV55cRuSiPjxNXbdVNV1yiKclXxC3fDv5Ubhzak0rF/IFbnZMqUJsmeFYnsWZF0dtvIaN86H1tKSW5qKQkHc0g8mEtemrknj7WNFWOf7IZvmGuDXktjUHfyiqJcdboMDaE4t4KEA7lnl1WWG1j5RSx7ViTRprcfbj4OHFiXUqdRslJKdi1L4IcXdzD/7T3sXZmErb2GvuMjuOW57ji62bLi84MU55Zb8rIsQgV5RVGuOqGdWuDm7cD+tclIKSnI0rLgnb0kH87j+kmRDJ7aji6Dg8lOLiHz5MXTKCQcyGHvyiQ8/J0YNKUt097rx/inu9P1xhD8wty46ZHOmIyS5Z8cpEKrb4QrbDgqyCuKctWxshJ0GWIO4ruXJ/LHO3upLNMz5vEudBponomqTR9/7J1s2H+RUbImo4ldSxPw8HPkpoc70a5vQLUJVjz8nBg5oyPFeeWs+iIWo/7qmctWBXlFUa5K/wTxvSuT8PB1ZOILPQhs7XF2vY2thg79A0mKzaUgq/YMlkd3ZlGQVUavMeFV6vfPFxDpweCp7cg4Ucj6H44gTVfOQNILUUFeUZSrko2thhtua023YSGMe7pbldGx/+g4IAiNxqrWFMcGnZE9fybiG+ZKeBfvi56zdQ8/eo8N58Se0+xanlDva2gMKsgrinLVioz2pc+4CKxtap6q0NHVlja9fDm6M4vykuoJ0WI3p1NaUEmfsa3qPNl4t2Etad8vgH2rkonfllGv8jcGFeQVRWnWOg8Jwag3Ebs5vcryynID+1YnEdLek8A2HrXsXZ0Qgv63tSYkypNNPx/lVEx2Qxe5QakgryhKs+bp70TLjl4c3pyGQWc8u3z/2mQqtQZ6X0Z6BCuNFcPv74hfuBtrv40jKTb34js1ERXkFUVp9roOCaG8RM+xXVkAaIsqObg+lchoH7xDXC7rmDZ2GkY90hmvQGdWf3X4ip3QRAV5RVGavYDW7niHuHDgr1SkSbJ3ZRImg6Tn6PB6HdfOwZqbH+uMm7cDKz4/dElTGzYWFeQVRWn2hBB0GRpM4ekyDm5IJX5rBu37BeDu41jvYzs42zJ6ZhecXG1Z/slBclJKGqDEDUcFeUVRrgmtuvng7GHH9gUnsbIWRI8KbbBjO7nZMeaJrtg6aFj28QHyM2rvl9/YVJBXFOWaoNFY0XlwMACdBwU3+KQjLp72jJnZFSsrwdLZ+6+YaQpVkFcU5ZrR4YZArpsQQbfhLS1yfHdfR0Y/3gWARR/EXBGNsfUK8kKI94UQR4UQh4QQi4UQ7uese0EIcVIIcUwIMaz+RVUURakfa1sNXYaEXHRykvrwCnBmwnPROLnZsvyTA5zYc9pi56qL+t7JrwM6SCk7AceBFwCEEO2ByUAUMBz4XAhR85A0RVGUZsbF057xz3THN9SVtd/Gsb+OKY8toV5BXkq5Vkr5zxxcO4GgMz+PAX6TUlZKKROBk0DP+pxLURTlamLvZMPomV1o1c2HHQtPsu2PE02S1Kwh6+SnAavO/BwInJsRKO3MsmqEEPcLIfYKIfbm5OQ0YHEURVGalrWNhmH3RtF5UDCHNqSx5pvDVUbdNkoZLraBEOIvwK+GVS9JKZee2eYlwAD8fKkFkFJ+BXwFEB0dfXXk7lQURakjYSXod2skzp7m7psFWXu58d4ovAKcG+X8Fw3yUsohF1ovhLgbuAkYLP+tdEoHgs/ZLOjMMkVRlGtSlyEhePo78de8eP747176TYwk6vqAOme/vFz17V0zHHgWGC2lLDtn1TJgshDCTggRBkQCu+tzLkVRlKtdSJQXk17uSUCEG5t/Ocaarw5bfDrB+tbJfwq4AOuEEAeEEF8ASCnjgPlAPLAaeFhK2bgVUYqiKFcgJzc7bn60C33GtyLxYC6/v7mbjJOFFjufaKpuPTWJjo6We/fubepiKIqiNIrTScWs/eYwJXkVXDch8uyI3EslhNgnpYyuaZ0a8aooitJEfENdmfRSTyJ7+OLm42CRc1hu2JeiKIpyUbYO1gydFmWx46s7eUVRlGZMBXlFUZRmTAV5RVGUZkwFeUVRlGZMBXlFUZRmTAV5RVGUZkwFeUVRlGZMBXlFUZRm7IpKayCEyAGSL3P3FkBuAxbnaqCu+dqgrvnaUJ9rbiml9K5pxRUV5OtDCLG3ttwNzZW65muDuuZrg6WuWVXXKIqiNGMqyCuKojRjzSnIf9XUBWgC6pqvDeqarw0WueZmUyevKIqiVNec7uQVRVGU86ggryiK0ow1iyAvhBguhDgmhDgphHi+qctjaUKIYCHERiFEvBAiTggxs6nL1BiEEBohxH4hxJ9NXZbGIoRwF0IsEEIcFUIcEUL0aeoyWZIQ4okzn+nDQohfhRD2TV0mSxBCzBVCZAshDp+zzFMIsU4IceLMvx4Nca6rPsgLITTAZ8AIoD1wmxCifdOWyuIMwFNSyvZAb+Dha+CaAWYCR5q6EI1sNrBaStkW6Ewzvn4hRCDwGBAtpewAaIDJTVsqi5kHDD9v2fPAeillJLD+zO/1dtUHeaAncFJKmSCl1AG/AWOauEwWJaXMlFLGnPm5BPMffmDTlsqyhBBBwCjgm6YuS2MRQrgBNwDfAkgpdVLKwqYtlcVZAw5CCGvAEcho4vJYhJRyC5B/3uIxwPdnfv4eGNsQ52oOQT4QSD3n9zSaecA7lxAiFOgK7Grakljc/4BnAVNTF6QRhQE5wHdnqqm+EUI4NXWhLEVKmQ58AKQAmUCRlHJt05aqUflKKTPP/JwF+DbEQZtDkL9mCSGcgYXA41LK4qYuj6UIIW4CsqWU+5q6LI3MGugGzJFSdgW0NNAj/JXoTB30GMxfbgGAkxDizqYtVdOQ5r7tDdK/vTkE+XQg+Jzfg84sa9aEEDaYA/zPUspFTV0eC7sOGC2ESMJcHTdICPFT0xapUaQBaVLKf57SFmAO+s3VECBRSpkjpdQDi4C+TVymxnRaCOEPcObf7IY4aHMI8nuASCFEmBDCFnNDzbImLpNFCSEE5nraI1LKWU1dHkuTUr4gpQySUoZi/v/dIKVs9nd4UsosIFUI0ebMosFAfBMWydJSgN5CCMczn/HBNOOG5hosA6ae+XkqsLQhDmrdEAdpSlJKgxDiEWAN5tb4uVLKuCYulqVdB9wFxAohDpxZ9qKUcmUTlkmxjEeBn8/cwCQA9zRxeSxGSrlLCLEAiMHcg2w/zTS9gRDiV2AA0EIIkQa8CrwDzBdCTMeccv3WBjmXSmugKIrSfDWH6hpFURSlFirIK4qiNGMqyCuKojRjKsgriqI0YyrIK4qiNGMqyCuKojRjKsgriqI0Y/8Pwly/1fvUmcIAAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"x = np.linspace(0, 10)\n",
"\n",
"# Fixing random state for reproducibility\n",
"np.random.seed(19680801)\n",
"\n",
"fig, ax = plt.subplots()\n",
"\n",
"ax.plot(x, np.sin(x) + x + np.random.randn(50))\n",
"ax.plot(x, np.sin(x) + 0.5 * x + np.random.randn(50))\n",
"ax.plot(x, np.sin(x) + 2 * x + np.random.randn(50))\n",
"ax.plot(x, np.sin(x) - 0.5 * x + np.random.randn(50))\n",
"ax.plot(x, np.sin(x) - 2 * x + np.random.randn(50))\n",
"ax.plot(x, np.sin(x) + np.random.randn(50));"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Markdown Images\n",
"\n",
"This image is a image inserted via Markdown image tag:\n",
"\n",
"![A poppy field](https://unsplash.com/photos/sWlxCweDzzs/download?force=true&w=640 \"A poppy field\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## How about math?\n",
"\n",
"How is math handled and displayed? Force is mass times acceleration: $F = ma$.\n",
"\n",
"What is the gravity of all this?\n",
"\n",
"$$ F = G \\frac{m_1 m_2}{d^2} $$"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": ["# A h1 title\n"]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.7.6"
}
},
"nbformat": 4,
"nbformat_minor": 4
}
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