{ "cells": [ { "cell_type": "code", "execution_count": 7, "id": "focused-supervision", "metadata": {}, "outputs": [], "source": [ "# This tutorial demonstrates how to successively add curves and/or data to\n", "# a single plot.\n", "\n", "# I will first import the module numpy and 'matplotlib' which we will use\n", "# for ploting. Matplotlib provides a MATLAB-like interface. Many of the \n", "# options used for plotting in MATLAB are the same in Matplotlib.\n", "import math\n", "import numpy as np\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "code", "execution_count": 8, "id": "fifty-stylus", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([0. , 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1. , 1.1, 1.2,\n", " 1.3, 1.4, 1.5, 1.6, 1.7, 1.8, 1.9, 2. , 2.1, 2.2, 2.3, 2.4, 2.5,\n", " 2.6, 2.7, 2.8, 2.9, 3. , 3.1, 3.2, 3.3, 3.4, 3.5, 3.6, 3.7, 3.8,\n", " 3.9, 4. , 4.1, 4.2, 4.3, 4.4, 4.5, 4.6, 4.7, 4.8, 4.9, 5. , 5.1,\n", " 5.2, 5.3, 5.4, 5.5, 5.6, 5.7, 5.8, 5.9, 6. , 6.1, 6.2])" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# In basic_plots.py, we said that it was easy to put multiple curves on a\n", "# single plot by specifying multiple functions in a single plot command.\n", "\n", "#First, we use arange to create an array of numbers from 0 to 2*pi in \n", "# steps of 0.1. We convert to an array so that we can later use xx in calculations.\n", "xx = np.array(np.arange(0, 2*math.pi, 0.1))\n", "xx" ] }, { "cell_type": "code", "execution_count": 9, "id": "actual-payroll", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Here's a plot with two curves (cos and sin).\n", "plt.plot(xx, np.sin(xx), 'k-', xx, np.cos(xx), 'r:', linewidth = 2)\n", "plt.xlabel('x')\n", "plt.ylabel('y')\n", "plt.axis((0, 2*math.pi, -1, 1));" ] }, { "cell_type": "code", "execution_count": 10, "id": "excited-anthony", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# What if we now wanted to add a third curve to our plot? We just write another\n", "# plt.plot statement and it will be added to the graph that we already started.\n", "\n", "# First, reproduce the original plot.\n", "plt.plot(xx, np.sin(xx), 'k-', xx, np.cos(xx), 'r:', linewidth = 2)\n", "plt.xlabel('x')\n", "plt.ylabel('y')\n", "plt.axis((0, 2*math.pi, -1, 1))\n", "\n", "# Now add the new curve.\n", "plt.plot(xx, np.sin(xx)**2, 'b--', linewidth = 2);" ] }, { "cell_type": "code", "execution_count": 11, "id": "moving-oriental", "metadata": {}, "outputs": [ { "data": { "image/png": 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aVX3bcxXGjFHlrlYt5QeLXq/nu+++SwAsWbKky4U9cSRRcVHst7kfHzx/oLUoL3D9Opktm/o9HzuWdnln4exZ9QXHzU0d3TuMhQvJcuXMOscsPL2Q0IHFphVjUJR9ooVLBWInBUKSn2z8hNCB7Va0M/+mt3lz2qnTLGD48OGmCLbXzKyKnzun3uhCvBhA2BWIjVX1LEBOmpRymejoaLZq1cqUyyTEzhmB9t/db3OrlqyKopCtW6vfb79+WktjPT/+SNPIyaGOuGbeAn1DfZl/Un5CB667Yr+1QalA7KhA/CP8WXhKYRacXJC3g25bVikdMRKWLVtm8tDeY8bbKi4uMTz1V19Z3YVTsHevKn/u3OQDMy/PISEhrF27NgHwrbfeosFOPjd3gu8wx7gcrDC7gsW5E5wRg2LguivrNDftffpUfUHw9HQOZ1ZriYxMXLuZMMGOHR07lqavh6IofOt/bxE68K3/vWXXaUqpQOyoQEjy33v/8mm4Bc49iqKGO2nb1qpXmMOHDzNbtmwEwF9//dVsualTafI2TxbZwKXo2VN9yKS0FpLAnTt3TP4v9nI0vPj0IustrMeP//nYLu07ivf+eo/QgfNPau+pFxv7co5yVyLhBSdHDjvlD/HxIQsUUMNWP3pktti6K+sIHZh/Un76hto39otUIHZWIBYTEECWKKHOL+22zFri0aNH9PT0NIVkT43Fi8lChdS0AK7M06dkcHDa5bZt20YAdHNzMzsqyyh6g96lRx8kufH6RkIHFppciIGRLvjq72T83/+pT89WrexgKv/0Kdm8Ofn222ajWYTGhLL4tOKEDlx4eqGNBXgZp1QgADoB8AFwG8CwFI7/COCCcbsCwACgsPHYfWOe9AvmTi755ggFEqeP49SjU3nofiq5N48ft9jBMD4+nq+99hoBsEOHDi+FKEkJW6WkdRVGjx5NACxSpAgfmJvzshJns1rKKIqi8PXlrxM6cPB2x4dhPnmS7NvXhUKkp0FgoOoQ/v33drIii4lJdQohqYWdI0LpOJ0CAeAO4A6ASgCyA7gIoFYq5bsCOJDk830Antb06QgFMv/kfEIH1ltYzyZfbEJQwVKlStFfw0CNWhEdrVo/z5hhvoxer2enTp0IgI0bN07RJ8Zaphydwg///tDuUwOO5NLTS3Qb40b3Me68/MxxAdHi49U4owA5apTDurU7KVjPZ4zbFq6fkjz3+BzbLm/LE49O2FiIlHFGBdIcwO4kn4cDGJ5K+TUA+if57JQKJCouih1WduCWG1sse4u9dk3NHpZCoJ3du3dTCEE3NzcePHjQbBOKQvboQU6Z4jo29Zby77/qXZorl/kFdVLNJVKhQgUC4Oeff56hPn1DfZlnQh67OWVpyZfbvkzbYtDGLFpEcxHHMw0ZvpRnzqi2zQMGODQIq6U4owJ5F8CSJJ97A5hvpmxuAMEJ01fGffcAnANwFsAAS/p0ijWQpCgK2bSp+jX89NMLhx4/fsxixYoRAMem4YC4ebPaRKFCapSDzEZCQLt330293NmzZ5kjRw4C4IoVK9Ld34d/f0jowLfXvp3uNpyVwMhAUxj6zTfsH1kzIkJd8gNIjSLQ2BVFIdesUUdYGbIqW71aXZUfNCjVYrYOUWIpzqhAeqagQOaZKdsLwNZk+0oZ/xYzTn+1NFN3AIAzAM6UK1fOxpc1bdIMeXHlCvnZZy8sXOj1erZt25YA2LZtW+pTMfmNjU0MATJHu5xGduXRI3UEAqje6qnx+++/EwDz5cvHe/fuWd3XkQdHCB2Yc3xO3g2+m3YFF2TOiTmEDqw8p/LLqZptzLhx6vfWuLFrxWWzFEVRMxfaJCTL5cupzospisJXl77KN1a9wUeh5q2z7IEzKhCLp7AAbATwYSpt6QD8kFafjhyBxOnj2H9LfxaaXOjlvCFpMHbsWAJgsWLF+CSNEKAzZ6rfYvXq2mYYtDcjRtAiqxdFUUye+i1atEhV+aZUt9mSZoQOHHUgE03WJyNOH8ea82sSOnDK0Sl26+fZMzWXBqBORWZWLlxQjSo9PMibN62sbMV01c3Am8w/KT+LTi3qcKtAZ1QgHgDuAqiYZBHdK4VyBYzTV3mS7MsDIF+S/48D6JRWn46ewuq0qhOhA7/aYaFHn8HAGyNGMJsQFEJw7969qRYPCCALFlS/xW3bbCCwE/P8OVm4sHquO3akXjYgIIAlSpQgAE6ZYvkDctP1TYQOLDq1qGZTBY5i161dhA7MOzEvn0U8s0sff/yhfl9dutileaeib1/1XLt3t6LSjRuqV+WhVCw2k+Ef4Z+6haedcDoFosqEzgBuGq2xRhr3DQQwMEmZ/wOwNlm9SkaFcxHA1YS6aW2OViAJVi8eYz14MzDtV5N4Y87ZUQCHW5CMefBg9Rvs0CFzTg8kJyFD3GefpV12x44dBMBs2bLx/PnzaZbXG/T0WuCleX5zR9J5dWdCB3636zu79XHqlJNl87MTfn5q5ATACn2Q4Ezy0Ud2lc0WOKUCcfSmxSJ63019CR34zrp30iw7r1s3PgY4qGLFFHN7JEWvJ195RR06O0uKWnsTHa26z1iqLL/88ksCoJeXV4oRi5Oy/MJyU6h2e68LOAvnn5wndGC5WeWyzDnbE51OfaI2amThzFRcHDlrVpqOW4GRgZx3cp6mScKkAtFIgfiG+jLX+FyEDjz20Hzo0QMHDqiLv+7uFr0xk+qD9LTzpXpwGiIjI1mtWjUC4LepxOCOiY9h+VnlCR247PwyB0qoPf9c+4cRsba1rb1wgUzF6jzTEhFBliypmiunw37DLD/s/oHQgZ9ttmDobSekAtFIgZDkz/t/JnTgK0tfSdH2Pjw83OTDMGbMmKQHHCila3HjRtprISR56tQpUzrcffv2pVhm7om5psRgZnPcSyxCUdRsq4C6BpLVuHpVtYw0S1wcOW2axWkdHoc9Nr2AnvHTLjOcVCAaKpCwmDAWnVqU0IE7br781Pviiy8IgPXr10/MaZ4Q1CqFIcb8+eQtM6lHsgIXLqjh6osWTTGz50skWLWVLVuWYckqJP1uNl3fZCeJnZ+wmDCb5Hjftk19qhQuTNo5yr5rMn48TQuXFvDVjq8IHdh9rTWr87ZHKhANFQhJTj82ndCBjRY3emEUsm/fPtNi78WLFxMrfP+9+vUMHfpCO+fPq7vz5s16Ma8SUBR1/Qcgf/kl7fLx8fFs2LBhisEoH4c95jvr3nHKrH2OIiY+hmVnliV04IUnF9LdjqIkphKYOdOGAroggYGqrnjJtP7UKbJ27dTDTBt58PwBs4/LTqETvPT0kn0EtRCpQDRWIJFxkabomQkewKGhoSxXrhwBcNy4cckqRJIbN760Yvzmm+q35tC0mk7IkSPqdciTR/U3SIvz58/T3d2dQgieOPFy/KCoOBdK22gHvtn5DZsvac5zj8+lu41//lG/k1Kl7BAnysVo3Fi9FosWpXDQQt+kAVsGEDrw/Q3v21a4dCAViMYKhCRn/zeb0IF1f6tLg2LgwIEDCYANGzZMnLpKhf/+U7+x3Lkte2hmdrp0Ua/Hjz9aVn7o0KEEQG9vb4uud1YiJj4mQyMwg0HN0geoU6xZnbVr1WtRtqwxPp2VYYhvB92mx1gPuo1x440A7e2gpQJxAgUSHR/NUjNKETpwwsYJBEAPDw9eTssO9/Fjctgwvt5WIUBa4CKSJTh92jqFGhkZyUqVKhEAh40fxg4rO/DA3QP2FzQLsH69+l2UKZP5Anqmh6QKdd7PT9Sh8siRFtugJ6TJ/r9N/2dnSS1DKhAnUCAkueDUAr65+k1Wfa0qYYnDoKKQ3t48gNYE1ERlliRayip07arexUOGWFZ+7969BED3ju5OsTjpbFwPuM6e63ty753UoyAkx99fHQlmRcsrcyRM6ZXIH8FI5Fbd1S3gesB1kwOys8RjkwrESRSIoiicMWMGAbBChQqMtMScb9s2vlboCgE1OJ0kkTNnVEdea7yd+/TpQ+QAK/apyPOPz9tNNldk4uGJqZqcSyxHUcgGDdSn7PSvH1gcrrfXX70IHfj51oylJbAlUoE4iQJ5+PAh8+TJQwDctm2bxT/Sa1cVfvqpZWarktQJDAw0pQheunSp1uI4FWExYSw8pTChg0WjEL0+cwfxzCjbt6tPWU9Py1w/Lj69SOjAHONyODzibmqYUyBukDiUb7/9FpGRkWj9UWvMCpqF1ZdXW1SvZi2BP/4A8uUD8Py5XWV0VUggNjb1MqExociVPxdmz54NABgyZAj8/f3tL5yLkC9HPvzQ/AcAwJhDY9S3zFRYuxaoXh345x9HSOdiLFiAN8pcxuDBwF9/Ablzp11l3sl5AIDPG36OMvnL2FlAG5CSVsmsm9YjkG3bthEA8+bNyxn7ZxA6sOGi1GUKCUmy7hYcTPbsqSYAkSuVL3DqFNmkieo+kxrf7fqOxacV55YbW9ihQwcC4GeWRGfMQiQdhey/a95fIT4+MReNXPtIxtmzpJsbmTOnVSaTMfEx/O30b3wc9tiOwlkP5BSWxn4gkZGmcCUzZsxgvCGeU49OZXCU+RVxRSFfe41s3tzoeR4XR9aqpZodHTMfVysrcu6cejfnykWaS6HyJPwJc47PSejA80/O08fHh9myZSMAnjx50rECOznjD40ndGCLP1qYnWZdtky95pUrq8pEkoSQEPLLL8kffnhptysiFYjGCmT48OEEwLp16zLewl/b/v00hYUwrX2cP08+fGg3OV2Zt99mqk6W3+367iXLqwTfkMaNG9PghLmotSI0JtSU+jYlU+f4eFVxAOTy5RoI6CoYlW94ONmjB1msWMp54X1DfRkU5bz5qKUC0VCBJH3TPX78+EvHY+JjUswXkhCUbvx4R0jp+iSEecmZU3WdSUry0UcCYWFhLFWqlFxQT4GxB8cSOrDVn61eOrZ8uXqtq1SRo48XiIhIMZa7opBNm6rXbNq0l6v1+qsX807Myy03tjhASOsxp0DkIroDGDJkCOLj49G3b180b978hWM3Am+g8tzKeGvtWzAoBtP+Q4eAw4eBggWBr74y0/DOncD+/fYT3MWoVw/o3h2IiQGmTHnx2NRjUxGjj0H3Gt1Rr0Q90/58+fJh2rRpAIBhw4bhuTRQMPF1069RMGdBHHpwCIfuHzLtNxiACRPU/0eOBDw8NBLQGfnqK6BFC8DH54XdQgC//KL+P20aEBWVeEyv6BEaG4o4Qxzql6zvQGFtQEpaJbNuWoxAdu3apeb5yJePT58+fel4nD6OFWZXIHTg2strTfvbtFHfVpJGd3+BjRvVAhUrklFZO45TUi5cSByFJFxuc6OPBBRFYYsWLQiA33zzjUPldXbGHBxD6MA2y9qY9t25o+a8qFhRmvC+QGgoWaIEmS1bisnRFUVNNgWoeaSScz/kvv1lTCeQU1iOVyBxcXGsWbNmmrm5F51ZROhArwVeNCgGHj5Mk9e52UW3uDh1hX3atDQSEGQ9unVTc8Xv2aN+HrJ7CKEDu/2vm9k6Fy5coJubG93d3dMOLZOFCIkOYYFJBQgdXsjFHRdH+vhoKJizEhqqxrQ3w5Yt6m+7RAnXeu+TCkQDBTJ37lwCYOXKlRmTitlt0nDaG65u4IoVZP78FoQql57CKfLwYWKoe/8If+aekJvQgWcfn0213qBBgwiArVu3ll7YSfjl318odIITDk/QWhSXR1HI+vXVJ+/cueScE3N42s/504o6pQIB0AmAD4DbAIalcLw1gFAAF4zbaEvrprQ5UoEEBgayUKFCBMBNmzalWX7BqQWEDqzzWx0aFANDQqzM9yEtiFJk2N5hhA58c82baZYNCgpikSJFCIDr1693gHSuQUh0CK88u0KDgZw+XY17JUlCdDS5erXFv8GNG0kPD/KLkbfoPsadHmM9+CTcjO25k+B0CgSAO4A7ACoByA7gIoBaycq0BrAtPXVT2hypQBLeZl9//XWL3maTRurdeH2jdZ3984/q0XXhQvqEzaQ8CgpkDl1eQgee9LXMz2PhwoUEwIoVK6Y6asyKJCy7Va8uB78vMHGiemE+/tii4gaDOkr+dNOnhA78dNOndhYw45hTIFpaYTUBcJvkXZJxANYC6OaAunbn6tWrWLhwIdzc3DBr1iwIIdKsk9MjJz4s9xMAYMzBsQmK0jIOHQJu3QLmz0+vyJmSTr/MQSwiUJkd0aR0E4vqfPbZZ/Dy8sK9e/cwX15PEyQwZiyBSvvQ/fPLsOCWzjpUrQqUKQP83/9ZVNzNDdDnvYcVF1fAXbhjRIsR9pXPjmipQEoDeJTks69xX3KaCyEuCiF2CiG8rKwLIcQAIcQZIcSZgIAAW8idKiTx3XffwWAwYODAgfD29ra47pXl/YGI4rjw7Dy23dxmeaejRwMLFwK//ZYOiTMv77aqBQRVwdN1oxEaalkdDw8PTJ8+HQAwfvx4BAUF2VFC12H7duBCtgXAJ+1xsajrPvDswrvvArdvA6+/bnGViUcmwkADWhT4CJcPVbGjcHYmpWGJIzYAPQEsSfK5N4B5ycrkB5DX+H9nALcsrZvS5ogprK1btxIACxYsyAArspCdOaOOgrO1VGNkNV7cWC7k2oDWbfRWh8FXFIXt27eXZr1GFEWNM4Y8z1hoTDlOPDxR3psZ4H7IfTXboM6NKOLD8uWd35ASTjiF5QugbJLPZQA8TlqAZBjJCOP/OwBkE0J4WlJXC/R6PYYOHQoA+OWXX+Dp6Wlx3XHj1L9fNPkcRXMXxenHp7Hr9i7rhYiMBE6etL5eJmX0KHcAwMyZQHi4ZXWEEJg2bRqEEFiwYAFu3bplRwmdn927gVOngKK5i+HB93cxvMVwi6ZlMzUk8M47wIIFgF5vVdXJRydDr+jxfu0PUKNoNTx4AKxcaSc57U1KWsURGwAPAHcBVETiQrhXsjIlAAjj/00APAQgLKmb0mbvEcjvv/+ergXYpCE4nj4lpx6dSujApr83te5Nz8+PLF2aLFSIDHLeuDr2ZtZ/s/j9ru/5JPyJKSAlQE6aZF07ffv2JQD26NHDPoK6AIpCNmumXr9UXJmyHv/+q16UIkWsipD48PlDZhubjUIneM3/Gletoskf2JmdMuFsVlhMnJa6CdWiaqRx30AAA43/DwZw1aggTgB4JbW6aW32VCCRkZGmmEr/+9//rKr7zjt8IQhgRGwEGy9uzMVnFtOgWGGeqyhk27Zkw4bktWtWyZBZiImPoedUzxcSIu3enfhbDw+3vC1fX1/mzp2bAHjkyBE7Sez8HDqkBgJMCAIYERvBacem8cttX2ormJYoimqWtnq1VdUGbx9M6MBef/UiqSbkqlZNvT+XLbODnDbCKRWIozd7KpAJEyYQABs2bGhVVNerV9VvIUeOlwMApovg4CzvE3Lu8TkO2zvMNHpTFLJPH3LtWvUHaw2jR48mADZp0kRG6zXiG+rL7OOyU+gErzy7orU4LoNfmB9zjMtB6PDCdXOFwJRSgdhRgfj7+zNfvnwEwP37zSfgSYn4eHLVKnLqVPNl5IKldoSHh7NEiRLpGlm6OtHR5o99ue1LQgd+sOEDxwnkDERFkVYYxyTlm53fEDrw3fXvvrA/aWj8VatsIaTtkQrEjgrk66+/JgC+8cYbNm33efRzDt0zlG+sesN6JRIcTP70E3nxok1lcmYs9eZN7cGYEglrWxUqVGCss5vL2IiEtaO33yZ9fV8+/uD5A9Nc/vWA644XUCsmTVLjDFk53xQeG858E/MROvDi05d/k+vXq17+KeUKcQakArGTArl9+zazZctGIQQvWvmwTmvtLWlSn5SiyKbKDz+oX2/nztbVc1HCY8PpOdWTbZe35fPo5ymWiY4mv/hCtTOwZi1Er9ezVq1aBMB58+bZSGLnZt8+vpzMLBmfb/08641C3n9fvTAJkTqt4E7wHS44tcAOQtkfqUDspEB69epFAPy///s/q+pdu6amX02W8fIl1l9Zb3EYjhd49ozs0oXMIqlaJx+ZTOjA5kuamx2tZcSi6J9//iEAFi9enOHWaB8XJKnl2oRU4ic+eP4ga66FnDlj1+bDw61fq7M3UoHYQYGcOnWKAJgzZ04+tDLN7HvvqVf/iy9sKlKWJCwmjEWmFCF04O7bu1Mtu2uXet09Pa0bhSiKwiZNmhAAx2fyFJEJqZQLFUo7oOeg7YMIHdhzfU/HCOeCXHp6yWJrykWLVGvBtWvTLutIzCkQmZEwAwwbNgwA8M0336Bs2bJplE7k8mVg/XogRw5ghBVRIS49u2StiInExaW/rpOz4PQCBEUH4ZWyr6B9pfaplu3QAWjWDAgMBH791fI+hBCYPHkyAGDq1KmZOsTJmDHq3++/B/LnT73s8NeGI4d7Dvx17S9cfnbZ/sJpxdKlwKNHaZdLxuPwx2iypAkaLW6EqPiotCsACApSsxda6Z+oDSlplcy62XIEsm/fPlPIkuDgYKvqdu+uvuF9/bXldT78+0NCB+6/a52VF0ND1WGOt7fz2ghmgLCYMBaeUpjQgXtuWzYvnd5RCEl26NCBAPhDWnOPLkqCf1yhQuTz55bV+XrH14QO7LEukzpcXrxICqFmeDO3IGSGw/cPs9SMUhZfm7g4slIl9TtYvjwdstoJyCks2ykQRVHYtGlTAuDEiROtqnv2LE1e59b4fYw7NC7NOf4UiY1V70g3N9UjLJMx4fAEQge+uvRVi69LRtZCzpw5Y5q2fPToUTokdm7mzVMzso4da3mdx2GPU00Z7PLcvUv26pXo6WslUXFRfBr+cjprcyT4hVSq5Dze6VKB2FCBbN68mQBYrFgxRlhpd/fmm+pV//576/oMiwkzeVhv8zGfMjNFDh3KlJ7poTGhptFHgte5pSSMQvr2tb7f9957jwDYv39/6yu7AHfvWpnMjOR3u75LM22wy+MgR1K9Xs25ApCLFzukyzSRCsRGCsRgMNDb25sAOGfOHKvqxsSoCiRPHtVIylpmHFcj9dZbWM+6ECeZlPGHxhM68LU/XrPaT0ZRyCvpNBzy8fGhu7s73d3deePGjfQ1ksl4Gv6UucbnYvV51RkWY900T2bkTvAdjjowiiHRIemqv3at+nQuU8Z6vyV7IBWIjRTImjVrCIBly5ZNd8Y6P7/09R0VF2XKWrj+SjpTrl68aP3EvxMSHBXMgpMLEjpw3519Du+/f//+BMCePTOH9dGuXeS6dRl7yT7jd4bxhky0zvbvv2TPnuR16x0l+2zsQ+jAgVsHpqtrg0FdtmzQQB0Rao1UIDZQIHFxcaxSpQoBcOnSpRlqK738eupXQgfWmF+DeoOVxuI6HdMVltYJGbpnKKED2y5vm+FQL0eOkAsXWlfn0aNHzJkzJwHw7NmzGepfa+LjE6dM1qzRWhonok0bWp1MhuT1gOt0G+NGj7EevBuc/qf/kyfOkzrYnAKRZrxWsGzZMty+fRvVqlXDJ598YlXdESOAEycyLsNnDT5DhYIVcCPwBlZfXm1d5VdfBbJnB6KjMy6IhviG+WLuqbkAgMmvT85Qborbt4EWLYBvvrHOSrNMmTIYNGgQADX3iyuzciXg4wNUqqQm18soT8KfYMbxGeobqiuzYgXw7bfqzWEFYw6NgUIFfev1RcVCFdPdfYkScP7UwSlplcy6ZWQEEh0dzTJlyhAA11rp5bNnj/oiU6CAbWaPlp1fRujAirMrMlZvRWwmRVETjrg4AZEBHLx9MD/6+yObtJfg1Nmvn3X1/P39mSdPHgLgiRMnbCKLo4mJIcuVo80C+cUb4ll2ZllCB26/uT3jDboYl55eotAJZh+XnQ+fW+dcbI7bt8mBA622ILYpkFNYGVMgs2bNIgDWrVvXqrDeej1Zt656pSdPTnf3L7Zp0LPG/BqEDvzt9G+2adQFsVWUYh8f0t1dtXS2dk18+PDhBMAOHTrYRBZHM3euem/Wrm278Bkzjs9g97Xd6RPoY5sGHU0GkrG99b+3CB341Y6vbCZO69bqd2SNabWtkQokAwokPDycRYsWJQBu3brVqrrLlqlXuWxZNRK0rVh/ZT2hA0vNKMWouHQ0fOiQ89gIWoHV6z4WMmCA+j1ZuyYeFBTE/PnzEwAPHz5sF9nsRUQEWayYet6bNtmuXZdOP6DXkzVqkK+/bnWCnn/v/UvowLwT81ocGdoSDh5Uv6O8edV1ES2QCiQDCmTy5MkEwGbNmln144iKUs3wAHLFinR1bRaDYmC9hfUIHTjpiJWL4tevq0LlymWjLFaO4b9H/7Hq3Kr859o/Nm/b11d17gTI06etq/vLL78QAFu1auVSD8+ZM9XzbdLEfou1iqK4lmXWpUtquPaKFVUnXAsxKAY2WNSA0IHjDlm36G4JXbuq39WAATZv2iKkAkmnAgkLC2PhwoUJgHusDOE8caJ6hevXt48P0v67+/nppk/5OCwdSqBPH3LMGG0nVq3kk42fEDpwxL4Rdmn/xx/V76tbN+vqPX/+nIUKFSIA7tvneJPi9BIVRc6Yob7h2oOzj8/y1aWvcvIRG83dOoqgIKsj7i6/sJzQgaVnlGZkXKTNRbpxg/TwUKdZL1+2efNp4pQKBEAnAD4AbgMYlsLxjwBcMm7HAdRNcuw+gMsALpg7ueRbehRIQqraV1+1PFQGqYYgKF1avcIu9ExxauL0cVx8ZrHZfB8ZJShIVSL+/tbXTbhPmje3MtRMJmbP7T2EDiwwqQADIwO1FsduRMZFsvSM0oQOXH7BfgGsBg9WnycdO9qtC7M4nQIB4A7gDoBKALIDuAigVrIyrwAoZPz/DQAnkxy7D8DTmj6tVSBJ3yytTVVLqgZPjso/FG+ItyrejsS2hIeH09PTkwC4Y8cOrcVJlbt3yUAHPc/br2hP6MDvd1kZu8fRxMWRW7emay4vIU5dg0UN7BohIiBAteR0dyevXrVbNyliToFo6QfSBMBtkndJxgFYC6Bb0gIkj5MMMX48AaCMIwWcO3cuQkJC0LJlS7Rp08bq+sWLA4MH20GwZFwLuIZ6C+uh14ZeCcrVcjZvBpo0AR48sI9wNuDAvQN4Ev7EoX3GxgJnzlhePm/evPjpp58AAKNHj7b+e3AQJPDpp0DVqsCRI/bvb0q7KRAQmH96Pu4/v2//DtPLsmVA167ABx9YVY0kDj04BACY0WEG3IT9HqmenqqYly4BtWrZrRur0FKBlAaQ1HXL17jPHJ8B2JnkMwHsEUKcFUIMMFdJCDFACHFGCHEmICDAYuGeP3+OGTNmAADGjh1rlbPazp1AfLzFxTNMqXyl8DTiKR6GPsTTiKfWVf7rL+D0aWDePPsIl0GCooLQ86+eqD6/Om4F3XJInwEBgJcX0L69+r+lfPnllyhRogTOnDmDLVu22E/ADPDPP8ChQ4CbG1C7tv37q1+yPj6q8xHiDHEYvn+4/TtML7lyqZ57b79tVTUhBPZ8vAcH+xxE6wqt7SJaUt5+23mUBwBNp7B6AliS5HNvAPPMlG0D4DqAIkn2lTL+LQZ1+qtlWn1aM4WVYFnTtm1bi+uQ5OHD6sRggwaOTUt57vE5RsenI+rajRvqPJszRGxLgQFbBtgsZImlKArZoQPT5Vw4Z84cAmD9+vWdbi0kKoqsUEE9r98c6D50P+Q+c43PpVncMouJinK+XLJmUBRy82broyanFzjhGkhzALuTfB4OYHgK5epAXSuplkpbOgA/pNWnpQokODjYZNt/5MgRS68xY2NJLy/1qo4ebXE1iRlO+Z6i0Al6jPXgNX/HhqO/cUPNiyGEdWa90dHRLFmyJAFw8+bN9hMwHYwfr96bdeo4/jk58fBEQgdWm1eNMfHpC0LqTCiKwgmHJ/B20G1N+v/2W/W7HD7cMf05owLxAHAXQEUkLqJ7JStTDqqF1ivJ9ucBkC/J/8cBdEqrT0sVyM8//0wAbN++vVUXecIE9YpWqWJbp0FrCIoK4pDdQ/gsIh3x4mNjyZAQm8uUHvQGPRstbkTowKF7hmoiQ4JZb9Om1plhz5071+lGIb6+ZO7c6vkcOOD4/mP1saw5vyahA8ce1NClOjlr15JLlliduWndlXWEDiw6tWj6Rv4Z5L//1O8yRw7royekB6dTIKpM6AzgpnGEMdK4byCAgcb/lwAIgWqqeyHhJKBabl00blcT6qa1WaJAAgMDmTdvXgLg8ePHLb7At24lOqJpabbb669ehA7ss7GPdRX//Ved37B2zsZOLDqzyGRXHx6rTfj5sDCyZEn1O/3zT8vrOeMopHdv9Tx6aJh1NsFTO8e4HLwVdEs7QRKIiUn09LXSFd8/wp8f/f0RF51ZZCfh0ubTT1XRW7Swf64rp1Qgjt4sUSAjRowgAHa0wthaUch27dSr2bu3xdXsgk+gjym96I6bVpiT3rypeinVqaN5Hs3AyEBTpsF1V9ZpKsvKler3WqyYdfPNzrYWcuiQmsb3zh1t5UhwBu2wsoP210WvVyNI9uiR7iewlucQFEQWL06HrGlJBWKBAgkKCmK+fPkIgP/995+Fl5bcvl29koULp88JzdZMPTqV0IFlZpZhaIwVT73jx51iETFh4fz15a9r/pBRFDU+1urV1rkIREVFOd0oxBl4FvGMhSYXInTghqsbtBbHam4H3bYuArad+esv9dmTLx/56JH9+pEKxAIFkrD2YW1kVYNBnUZ1lmQ88YZ4Nl7cmNCBA7ZoFDwnnZz0PanZwrmtcYZRiBZhL9JiydklHLJ7iGZTkyTT5TAYGRfJSnMq0ftXbz54/sAOQlmPopBvv60+yb/4wn79SAWShgJJanl17NgxKy6tc3Ll2RVmG5stfaaT4eHqsMrBRMRGsNq8apounKfFhQvk8+eWlU06CtmyZYt9BUuBvXvVX3j//s6T2c4piIlR7eynTLEqYOKPe34kdKD3r96M02s7zZsUPz9y1Cj7WuJLBZKGAhk9ejQBsF27dhZf1HPntJ9TTo2EEAsVZlew/G0vIkKdWPXwcHgy5v5b+hM6sPavtTWxbEmLlStV094+fSyvM3v2bAJggwYNHDoKCQ1NTBQ1frzDurWa4Khgnn9y3rGdrl1LUxIUC9c+zj4+S/cx7hQ6wZO+J+0soPMhFUgqCiQkJIQFChSwyu8jJISsVEmNiG6Fq4hDidPHmUK+W5Xgpndvsnlz8uJF+wmXjHhDPN/f8D5zjMvBS08vOaxfa7h2LdHSboOF0/dRUVEsUaKEw0ch/fqpcjZqpOY8d0buhdxj+VnlWXJ6SfpHOHDxUFHIXbtIC+PbxRviWX9hfUIHfrvzWzsLlzFCQsg//rB9u1KBpKJAdDqdVV7nSecdGzRwWidukuT5J+fpMdaD0IGH71uY8CgqSpM5D0VReCPAAUbtGSAhg1+RIpanUnH0KGTnTlXG7NkdH3TPGuIN8Xztj9fYaHEjp1lTSImhe4YSOrD8rPLartukQWys+lILkBs32rZtqUDMKJDnz5+zYMGCBMBDhw5ZdDGnT1evXIECzj2FlcCoA6NMOdSdLay2QTE45XSVOQyGxDAnb7xhmZ6Niopi8eLFCYDbtm2zq3whIYlpBKZMsWtXNsE/wt9xVk1xcWpIWyvYcHUDoQPdx7jz4L2DdhLMdiQkCcuXT80bZyukAjGjQMaOHUsAbN26tUUX8uhRNZxyOnyPNCNWH8uGixoSOvC9v96zvOLTp6o79sOHdpNt6tGprPNbHV55dsVufdgaX1+yUCFaZX8/Y8YMAmCTJk3sOgpJ8J5v1swpLLKtQlGU9CVHs5QlS8g8edRhpAVc87/GvBPzEjpw5vGZ9pPLhigK+d576j1Qo4btYmVJBZKCAgkNDTXl+/j333/TvIjPniW+3f3wQ5rFnYpHoY/YcWVH3g+5b3mljz9WT3bQILvIFKePY60FtQgduM3Hvm/mtmbdOvXSVKxomd9lREQEixYtSgDctWuX3eSKiFAX+W/etFsXdiE0JpTd/teN5WeVZ3BUsH06+eIL9UtbvTrNomExYawxvwahA3v91UtzfyRriIhQ7QMAdardFl7qUoGkoEDGjx9PAGzZsqVFF3HnTnUR9bXXNHfWdgyXL5NvvWV9knArCI8N55pLTuJAYyWjR5O3rYilN2XKFAIya2FKxOpjTbHPuq/tbr/rc/ZsmkMzRVH4zrp3CB3otcDLqdc9zHHrFlmwoPqEH2eDFO1SgSRTIElznVuTx/rCBXUKw5VRFIWTj0zmofuWrfnYmrCYMLtmbtOKtF4qwsPDWaRIEavvubTYt08dLDqzMYcl3Am+w/yT8hM6cPQB7cJZTzs2jdCB+Sfl581AFxvKJWH7djWa9FAbuFRJBZJMgSS8DVqS69wVFsqtYeXFlYQOLDatGMNiwiyvaIO3wvDYcDb9vSl7/9PbqZyxMoKikNOmqesOERGpl03InW7pqDctrl1TjTkAcv58mzSpKRuvb6TbGDdCB44/ZCMHluPHyXv3LC5++dllVptXjZtvuH4Imms2CuYgFUgSBZJ0Pnr37t2pXriZM1XnscwUzijeEM9317/LTdc3WVbh/n019OdPP2Wo35j4GLZb0c5kEplZcriHhpLly6u/pjffTN3vIjQ01GT1d/DgwQz1GxCQaLbZvbv9I7I6ilUXV1HoBKEDpxzNoCmZXk9Wq6Y6xlqT28eJ4l3Zihs30q9QpAJJokAstYiZPFm9Qo6Idqk1qSb5OXeOJtvA8PTNB+sNer67/l3TyMeVpwZS4sYNNZgmoDrxpTZYGzNmDAGwTZs26e7v8WPVSTDBFymtkY+rsez8MpMSyZAFVEiI6hhbtWqqc4wrLqzguEM2WCxwUvz81MgERYqQJ9PhSC8ViFGBWGqTP3asenWEIH//3Yor7YIcun+IZWeWTT1Ew9y56spcOog3xPOzzZ+Z5pUdHrrCQRw/nuip3qcPGRmZcrmQkBBT3LXDhy107kzCmTOJ1oAVKqgPh8zIkrNLCB0IHTj3hGWmt2ZJZYHoTvAdk7Pt8YeW5wByJSIjyS5d1HsmTx4yjYmXl5AKxKhAErLFmfMKVhQ1MBmgpsdYvty6C+2KJCShyjU+Fzde32jTtu8E32GzJc0IHZhzfE7LveFdlK1b1fA2CaGWzIUTGzVqFNOT9ZJUgyMCqjXgs3QknnQlfjv9m0mJTDw8kXqDfZxb/jj3B6cfm26Xtp2FuDjyk0/UeydbNjUkmKVIBUKiQYMGLFWqFAFwoxlf/x9+UK+Ku7tF5uKZgjh9HPtu6kvoQKETnP3f7NQrWJD0RFEUrriwgvkm5jNlFtTK6svRXLqkTrtXqEAGm3FpSG/uGVJ9mZ40yapAsi7N3BNzTUqk8+rOllUyGMjvvyfPn0/xcHBUMHfdsp8/jrOScFkSZlemTbMsVppUICTKlStHAKxTpw4NZlYcT51S57L//jvti5qZUBTFFL0XOrDTqk489jBZWPvoaNUvJH9+809Gks+jn/ODDR+Y2npn3TsMigqy8xk4F2FhL+aqjo1Vo4gnZfjw4QTAzp1Tfyheu0Z++63aZlZl+83tLDOzDFdeXGlZhU2b1Mdb6dIvPCFj9bGc9d8sFppciLkn5KZfWCad/0sFRUlc3xWCvGJBEAinVCAAOgHwAXAbwLAUjgsAc43HLwFoYGndlLbs2bMTAP/66y/Thdy0Sf1xJiWzLUhaw8qLK5lnQh7Tw7/t8rb8996/idN97dqpczRmvKmPPDjCcrPKETow94TcXHJ2iXSaI/nVV+qzbNiwxBhFAQEBzJMnDwHwdDJnzYSAsZ060WTI8fHHGgjuRITHhr9wL/1x7g/uv7s/5Wmtx4/J774jF6k5yxVF4for61lpTiXTvd1mWZtMZ8xhDX//TY4YkfhZUVQ/y5RwOgUCwB3AHQCVAGQHcBFArWRlOgPYaVQkzQCctLRuyn26s3z5Tzl5soE9e6pTDAk/zgxaVGYqAiIDOHL/SJNTF3Tga3+8xnkn5/HfIytNE++KovDKsys88eiEqe4ZvzOEDmy4qCF9An20OgWn4vlzNS5Rwr0GkE2akAsWkJ99NolAbnbr1o2kGoJk3jyyZs3EsrlykQMHOjw9i1NzPeA6s4/LTvcx7i/4Mt0Lucc4fRzvhdzjrlu7OOfEHH657UtTOHbowJrza3Kbzzb5YpOMhCjOw4e/fCzdCgTAYACF0ipn7QagOYDdST4PBzA8WZlFAD5I8tkHQElL6qbcZ8MXfsSAGhRv7lznzZmgJSHRIRx7cKwphzV0YM/1PU3H7wbfNSmXBBRF4T/X/sk0ToK2QlHIw4fJzz5TraGT3oPZsnUjAF64cMFkwJEw+zJ5MhmUtWb/LCIyLpIj949kr796mfYZFAM9p3qazH+Tb8WmFePC0wsZb5A/9pRYulS9N1NKyGpOgXggbUoAOC2EOAfgD+ODmxbUS4vSAB4l+ewLoKkFZUpbWBcAIIQYAGCA+qkumjQhGjcWaNQIaNQIqFED8LDkKmRBCuYsiFGtRuHbZt9i2YVluBZwDQ1KNlAPkgg6tBNFc3miWuFqUKjATbhBCIHuNbtrK7gTIgTQooW6zZ0LbNoErFgB3LgB1K/fCZs2bcb48ePRvftfePttoFcv4J13gGzZtJbcOcmdLTfGtx3/wr5nEc+Qz+CBQBAlshdG9ZLeqF6kOqp7Vkf1ItXRqkIr5M2eVyOJnZ++fYF33wXy57eiUkpaJfkGdQqpI4C1UNccJgKobEndVNrsCWBJks+9AcxLVmY7gNeSfN4PoKEldVPaatWqlXE1LVEZNEh9TZ46VWtJXB4/Pz/myJGDAHjFkhVNiXk6d2aMO1QzNYnNgJkRiJuFSoYAnho3PYBCADYIIaZaoauS4wugbJLPZQA8trCMJXVfIleuXOkSVJICb74JFC4M5M6ttSQuT6lSpdCvXz8AwIQJEzSWxsVZswY5JkwGBg3SWpIsgWAas1FCiK8B9AEQCGAJgE0k44UQbgBukaycro6F8ABwE8DrAPwAnAbwIcmrScp0gboG0xnqFNVckk0sqZsSjRo14pkzZ9IjriQ5JBAZCeSVUwK24NGjR6hcuTL0ej2uX7+O6tWray2SRGJCCHGWZKPk+y0ZgXgC6EGyI8m/SMYDAEkFwJvpFYikHqpy2A3gOoD1JK8KIQYKIQYai+0AcBfqtNnvAL5MrW56ZZGkAyGk8rAhZcuWxaeffgqSmDhxotbiuB5BQYCiaC1FliPNEUhmQo5A7IDBAGzYoCqU997TWhqX5v79+6hatSpI4saNG6hSpYrWIrkOHToAT54Aa9YA3t5aS5PpyMgIRCIxz549wPvvA99/D8TGai2NS1OhQgX07t0bBoMBkyZN0loc1yEoCLh+HXjwAChTRmtpshRSgUgyRseOwFtvAaNHA27ydsooI0aMgJubG1asWIF79+5pLY5rUKQIcPs2sG8fUKiQ1tK4NJGRkYi14kVQ/uIlGcPNDdi8GRgwQDot2IAqVargo48+gl6vx+TJk7UWx3XIkQNo0kRrKVyeadOmoXLlytiyZYtF5aUCkUicjJEjR8LNzQ1//vknHj58qLU4zs3OnUBcnNZSZApCQ0Mxe/Zs+Pn5oZCFIzmpQCS2IT4eWLAAaNVK/V+SbqpXr473338f8fHxchSSGufPA507A3XqAHq91tK4PHPnzkVoaChat26NFi1aWFRHKhCJbXBzA+bNAw4fBjZu1Foal2fkyJEQQmDp0qXw9fXVWhznJCIC8PJSlYiMR5QhwsLCMGvWLADAL7/8YnE9qUAktsHdHZg5E/j7bzWgjiRD1KpVCz179kRcXBymTs1IwIdMTIsWwKVLwPjxaZeVpMr8+fMREhKCFi1aoFWrVhbXk34gEomTcvnyZdSpUwc5cuTA3bt3UapUKa1FkmRCwsPDUaFCBQQHB2Pfvn14/fXXXyoj/UAkjiU0VHUylKQbb29vvPPOO4iNjcW0adO0Fsd5uHoVmDABCAvTWpJMwYIFCxAcHIxXX30Vbdu2taquVCAS27NoEVChArB2rdaSuDw///wzAGDhwoV4+vSpxtI4CWPHAj//rP6VZIiIiAjMmDEDADB69GgIIayqLxWIxPZkywY8fw4cOKC1JC5PvXr10K1bN8TExGD69Olai+McfP458PrrwLffai2Jy/Pbb78hMDAQzZo1Q/v27a2uL9dAJLYnPh747z+gZUutJckUnD17Fo0aNUKuXLlw//59FCtWTGuRJJmAqKgoVKhQAQEBAdi5cyc6depktqxcA5E4jmzZpPKwIQ0bNkTXrl0RHR0tLbIkNmPhwoUICAhA48aN0bFjx3S1IRWIxL48eQLIUV+GSbDN//XXX/Hs2TONpdGI/v3VoJ0BAVpL4vJERUWZXkZ++eUXq9c+EpAKRGI/TpwAKlUCeveWFlkZpGHDhnjrrbcQHR2dNS2y/PyAP/4A5s8HoqO1lsblWbhwIZ49e4aGDRuic+fO6W5HKhCJ/WjQAChZEqhVSzXrlWSILD0KKV1aHcnOnw+UK6e1NC5NZGQkpkyZAgAYM2ZMukcfgFQgEnuSPTtw8aLqnV64sNbSuDwNGjQwjUKy5FpI/fpq1GdJhvjtt9/g7++PJk2aZGj0AUgFIrE3+fJpLUGmQqfTAVAfAlnGLySrjbbsSGRkpOnlQ6fTZWj0AWikQIQQhYUQe4UQt4x/X4odLIQoK4T4VwhxXQhxVQjxTZJjOiGEnxDignHLmBqV2B8fH2DoULkWkkHq16+Pbt26ZZ21kGvXgLJl1ZFHFnI5sBcLFixAQEAAmjZtmqrZrqVoNQIZBmA/yaoA9hs/J0cPYAjJmgCaARgkhKiV5PgskvWM2w77iyxJN4qiRkydNg1Yv15raVyehLWQLDEKOXZMvX+yZQMy+Lac1YmIiDC9dGR07SMBrRRINwDLjf8vB/B28gIkn5A8Z/w/HMB1AKUdJaDEhri5qSlv+/UDXnlFa2lcnqSjkEy/FtK/vzp6HTVKa0lcnvnz5yMwMBDNmzdHhw4dbNKmJp7oQojnJAsm+RxC0mwKLCFEBQCHAdQmGSaE0AH4PwBhAM5AHamEmKk7AMAAAChXrlzDBw8e2OgsJBLtOH/+PBo0aICcOXPi7t27KFmypNYiSZyYpBF39+zZY3XYEod7ogsh9gkhrqSwdbOynbwA/gbwLcmE8Ju/AagMoB6AJwBmmKtPcjHJRiQbFS1aNH0nI7E9cj47Q9SvXx/du3dHTEwMJk2apLU4tufGDeD0aa2lyDTMmzfPFHG3Xbt2tmuYpMM3AD4AShr/LwnAx0y5bAB2A/g+lbYqALhiSb8NGzakRGPOnSM7diR//11rSVyeS5cuUQjB7Nmz88GDB1qLY1veeosE5H1iA0JDQ1moUCEC4L59+9LVBoAzTOGZqtUayBYAfYz/9wGwOXkBoa7wLAVwneTMZMeSjte7A7hiJzkltubGDWD3bmD2bDkKySDe3t7o1asX4uLiMD4zZeVTFKBmTaBoUaBrV62lcXlmz55tyjZobb6PtNBqDaQIgPUAygF4CKAnyWAhRCkAS0h2FkK8BuAIgMsAFGPVESR3CCFWQp2+IoD7AD4n+SStfmU0XidAUYAZM4BPPwU8PbWWxuXx8fFBrVq14Obmhhs3bqBy5cpai2Q7YmKAnDm1lsKlCQ4ORsWKFREWFoaDBw9ala42KebWQGQ4d4nExfn000+xbNkyfPLJJ1i+fHnaFSRZhuHDh2Py5Mlo37499uzZk+52ZDh3ifNBAg8fai2FyzN69Gh4eHhg1apVuHHjhtbiZIzvvgP27JHTmzbg6dOnmDt3LgDYbYpTKhCJNgQGAs2bA02aAFFRWkvj0lSsWBGfffYZFEUxhTpxSf79V10be+89me/cBkyaNAlRUVHo1q0bmjRpYpc+5BSWRBtIoGlT4MEDYMcOoGFDrSVyaXx9fVGlShXExsbi4sWLqFOnjtYiWU9UlBptN2dO4OuvtZbGpXn48CGqVq2K+Ph4XLhwIcP3g5zCkjgXQgBr1gB37kjlYQPKlCmDgQMHAlCntFyS3LnVeGlSeWSY8ePHIy4uDr169bLry4QcgUgkmYSnT5+icuXKiIqKwqlTp9C4cWOtRbIMRVE3Dw+tJckU3L59GzVq1AAAXLt2DdWqVctwm3IE4oK8klXiRhkMwPLlQGYPDGhnSpQoga+++goAMGLECI2lsYL//Q/w8gK2b9dakkyBTqeDwWBAnz59bKI8UkMqECfm+PHjWovgGL77Dvi//wMykzOcRgwdOhQFCxbEvn37sG/fPq3FsYwVK4CbN2XeDxtw5coVrFmzBtmyZXPIVKZUIE5AZGQkunTpgrp166J27dpYt24dACBv3ry4f/8+atasif79+8PLywsdOnRAdJKc0G3atMHevXsBAD///DO+dsX54wEDgMqVgVdf1VoSl6dw4cL46aefAADDhg2Doihp1HACtm0DVq4EPvlEa0lcnlGjRoEkPv/8c5QvX97+HaYU3ySzbmnFwoLq2W7zLS02bNjAfv36mT4/f/6cJJknTx7eu3eP7u7uPH/+PEmyZ8+eXLlypansoUOH2KpVK65atYqdO3emXq9Psz+nxGDQWoJMQ2RkJEuWLEkAXL9+vdbiSBzEsWPHCIC5c+fm48ePbdo2nCwWliQJ3t7e2LdvH3766SccOXIEBQoUeOF4xYoVUa9ePQBAw4YNcf/+fdOxli1bgiRmzpyJtWvXwt3d3YGS2xA3eSvaity5c5uSTo0cORLx8fEaS2SGM2eAJKNpSfohaRp5DhkyxGHh/eWvNgkpaVhbbGlRrVo1nD17Ft7e3hg+fDjGjh37wvEcOXKY/nd3d4derzd9vnz5Mp48eYIcOXIgn6vnH4+JUR3J+vfXWhKXp2/fvqhatSpu3bqFP/74Q2txXub5c6BTJ6BqVeDxY62lcXm2bt2Ko0ePwtPTEz/88IPD+pUKxAl4/PgxcufOjY8//hg//PADzp07Z1G9J0+e4KOPPsLmzZuRJ08e7N69286S2pnnz4GRI4ElS4CLF7WWxqXJli0bJkyYAEBNXxrlbN7+z54B5cqpa18yGVaG0Ov1GD58OAB1DSR//vwO61sqECfg8uXLaNKkCerVq4cJEybg559/TrNOVFQUevTogRkzZqBmzZoYNWqUa4exAIASJYDp04EtWwBX9KR2Mt599100bNgQT548McVEchqqV1ensP7+W+Y6zyArVqzAtWvXULFiRXz++ecO7Vs6EkokmZh9+/ahffv2KFCgAO7evYvChQtrLZLEhkRFRaFatWrw8/PDmjVr8MEHH9ilH+lIKHE9nj0DnHUB2EVo164d2rVrh9DQUOdIfXvxIjBiBBAaqrUkmYJ58+bBz88P9evXR69evRzev1QgEufk99+BKlWAxYu1lsTlmTx5MgBg7ty5uHfvnrbCDB0KTJqkbpIMERQUZHopmDJlCtw0sGSUCkTinHh6AhERwNmzWkvi8jRs2BAfffQR4uLiTIutmjF2LNClC/Djj9rKkQmYNGkSQkND0a5dO7Rv314TGeQaiMQ5IdVFVlcJCOjkPHz4ENWrV0dMTAyOHz+O5s2bay2SJAPcu3cPNWrUQFxcHM6cOYOGdo5o7VRrIEKIwkKIvUKIW8a/hcyUuy+EuCyEuCCEOGNtfYkLI4RUHjakXLlyGDJkCADg+++/t8g/yabExDi2v0zO0KFDERcXh48++sjuyiM1tJrCGgZgP8mqAPYbP5ujDcl6ybSfNfUlrs6DB3ItxAb89NNPKF68OE6cOIH169c7ruPoaDXa7uDBMvukDTh8+DA2bNiAXLlymda3tEIrBdINwHLj/8sBvO3g+hJXISwM8PYGBg4Ezp/XWhqXJl++fBg3bhwANdBijKNGBYcOAffvA0ePAkmiKkisR1EUfPfddwDUF4IyZcpoKo9WCqQ4yScAYPxbzEw5AtgjhDgrhBiQjvoQQgwQQpwRQpwJCAiwkfgSh5E/vxra5IMPgCJFtJbG5enbty+8vb1x//59xzkXduoEXLigRhhw1VhtTsKKFStw7tw5lClTBj86gyGCHeM/7QNwJYWtG4DnycqGmGmjlPFvMQAXAbQ0fraofvItrWi8WrJ8+XJ6e3uzTp06/Pjjj0mSM2bMoJeXF728vDhr1iySZEREBDt37sw6derQy8uLa9euJUm2bt2ae/bsIUmOHDmSX331lSbnYRdkpF6bsmfPHgJg/vz56e/vr7U4EgsJDw9niRIlCOCFiNyOAGai8WoSVh2AD4CSxv9LAvCxoI4OwA/prU9LFYhq//PivjffVPdt2ZK4b9EidV///on7/PzUfSVLpt1PEq5cucJq1aoxICCAJBkUFMQzZ86wdu3ajIiIYHh4OGvVqsVz586ZDf2eacK6W4JUKBnmjTfeIAB++eWX9uvk/Hny7Fn7tZ/FGDlyJAGwSZMmNDj4N2BOgWg1hbUFQB/j/30AbE5eQAiRRwiRL+F/AB2gjmAsqu9KHDhwAO+++y48PT0BqEmBjh49iu7duyNPnjzImzcvevTogSNHjpgN/Z5pwrqnxt27QNeugDFIoCT9TJ8+He7u7li0aBEuX75s+w4URZ16bNQI2LTJ9u1nMR48eIDp06cDAGbPnq2J02BKaCXFZADthRC3ALQ3foYQopQQYoexTHEAR4UQFwGcArCd5K7U6tuEhDFIUrZuVfd17Zq4b8AAdV9S66BSpdR9VoanJgmRLKAczZhZmgv9nqnCupvj0SM1e92CBdIsNIPUqlULX3zxBQwGAwYPHmx7s964OKBVK6B8eUAjJ7fMxLBhwxAbG4sPPvjAuXx4UhqWZNbNWddArly5wqpVqzIwMJCkOoV19uxZent7MzIykhEREfTy8uK5c+fo5+fH6OhokuTGjRvZrVs3Pn78mN7e3rx27RrbtWvHXbt2aXk69uW338gnT7SWIlMQHBzMokWLEgBXr15tn06M96ok/Rw5coQAmDNnTj548EATGeBMayBabc6qQEhy2bJl9PLyYp06ddinTx+SKS+i79q1i97e3qxbty4bNWrEQ4cOsVmzZqYF9ITPEoklLF26lABYsmRJhoaGai2OJBnx8fH09vYmAI4aNUozOaQCcXIFIrESRSF37iTj47WWxKUxGAxs2rQpAXDIkCEZb/DmTfLVV8njxzPeloQzZ84kAFasWJFRUVGayWFOgTjHSoxEYi0DBgBvvAEsWqS1JC6Nm5sbFixYACEE5syZg2vXrmWswUmTgGPHZOQAG+Dn54fRo0cDUMO258qVS2OJXkYqEIlr0qULULAg4IQ/KlejYcOG+Pzzz6HX6zO+oD5vnprvQ+MQG5mB77//HhEREXj77bfRpUsXrcVJERmNV+KakGpSooIFtZYkUxAcHIxq1aohKCgIa9eu1SQ5kSSRvXv3okOHDsidOzeuXbuG8uXLayqPU0XjlUgyjBAvKo8s9CJkDwoXLmxKTjRkyBBERERY18D+/YBebwfJsh6xsbEYNGgQAGDUqFGaK4/UkApE4tqQwPr1QMuWatRXSbr57LPP0LhxY/j5+WHUqFGWVzx1SvX1eOUVqURswLRp03Dr1i3UqFED33//vdbipIpUIBLXxmAAxo1TI73++afW0rg0bm5uWLhwIdzd3TFnzhycPHnSsorR0UC5ckCbNoCHh32FzOTcu3cPE4yRFn799Vdkz55dY4lSRyoQiWvj4aHmT1+4UA35LskQDRo0wJAhQ0AS/fr1Q1xcXNqVWrUCrl4FfvnF/gJmYkjiiy++QExMDD788EO0adNGa5HSRCoQievTrBnw+eeAk8QHcnV0Oh2qVKmCK1euWJ6wKE8eIHdu+wqWyVm2bBl2796NQoUKYcaMGVqLYxHyF+fCbNq0Cf3790e3bt2wZ88ercVxDp4/Bw4e1FoKlyZXrlz4/fffAQDjx4/H1atXXy5EAh9+CMyYIdc9bICfn58pUdScOXNQokQJjSWykJS8CzPr5mqe6M2bN7eoXHBwMPv27WtnaVyAJ0/UUPr58pG+vlpL4/IMGDCAANisWbOX0wMcO0YCZP785OPH2giYSVAUhW+++SYBsEuXLlQURWuRXgLSE931OH78uEXlxo8fbzL7y9IULw40aQLUrg3Ex2stjcszdepUlCpVCidOnMCCBQtePPjKK2qU6sWLgZIltREwk7BmzRps27YNBQoUwKJFi16KzO3UpKRVMuvmrCMQc1kG8+TJw3v37rFGjRrs168fa9Wqxfbt25ti4iiKwqFDh3Lv3r0vtJepsxOmRUgImZmTaTmYzZs3EwBz587Ne/fuaS1OpuPJkycsXLgwAXDp0qVai2MWyBGI87Jr1y6UKlUKFy9exJUrV9CpU6cXjt+6dQuDBg3C1atXUbBgQfz9998A1Pg4+/btw4YNG7Bw4UJT+TFjxmDChAlYvXo1zp8/j1mzZjn0fDSlYMEX827HxmomSmbgrbfewnvvvYeoqCj069cPypYtwL17WouVKSCJQYMGITg4GB07dsSnn36qtUjWk5JWyaybJSOQxIxSL2+LFiWWS8hoa26zBh8fH1aoUIFDhw7l4cOHTfsTRiBVqlQx7Zs8eTLHjRuXZpstW7ZkgwYNGBYWZp0wmYWICHLgQPK11+SIJIM8ffqUnp6erAAwNkcOMm9e8s4drcVyedatW0cAzJcvn2Z5PiwFcgTivJjLMphAjhw5TP+7u7tDn4bVS5bITpgWsbHA5s3AyZPA6dNaS+PSFC9eHH/88QfCAWyJj0dI8+ZAxYpai+XSPH782LRuOW3aNJQrV05jidKHVCDJSG1cMWBAYrmEjLbmNmt4/PgxcufOjY8//hg//PADzp07l275nzx5go8++gibN29Gnjx5sHv37nS35dIULgysXQucOaP6iUgyRNeuXfHeF1+gp6Kg9cOHiJYphdONwWBA7969ERgYiPbt26N///5ai5RuNFEgQojCQoi9Qohbxr+FUihTXQhxIckWJoT41nhMJ4TwS3Kss8NPwoZcvnwZTZo0Qb169TBhwgT8/PPP6WonKioKPXr0wIwZM1CzZk2MGjUKOp3OtsK6Ei1bAnXqaC2F6+PvDygKpk+fjho1auCSjw+GDh2qtVQuy9SpU3HgwAEULVoUK1asgJsLO8BqEs5dCDEVQDDJyUKIYQAKkfwplfLuAPwANCX5QAihAxBBcro1/cpw7lmYY8fU6SwnD07ndERGAk2bAuXLA6tW4dy9e2jWrBni4+Oxfft2dO7s0u9uDue///5DixYtYDAYsHPnzpcMZpwVZwvn3g3AcuP/ywG8nUb51wHcIfnAnkJJMim+vmqgvyFDgMOHtZbGtfDxAZ48Ae7eBbJlQ4MGDUzB/j799FM8e/ZMYwFdh+fPn+ODDz6AwWDAkCFDXEZ5pIZWCqQ4yScAYPxbLI3y7wP4X7J9g4UQl4QQf6Q0BSaRmChTRo3YO3So6gAnsZwGDYDz54GNG4G8eQGo+ULatm0Lf39/9O3bF4qiaCyk80MSAwYMwIMHD9CwYUNMnDhRa5Fsgt2msIQQ+wCkFNBlJIDlJAsmKRtCMkUlIITIDuAxAC+Sz4z7igMIBEAA4wCUJNnXTP0BAAYAQLly5Ro+eCAHMRJJmpBq0i4z+Pr6ok6dOggJCcH48eMxcuRIBwrneixZsgT9+/dH3rx5cf78eVSpUkVrkazC3BSWJv4YAHygPvQBoCQAn1TKdgOwJ5XjFQBcsaRfZ/VElziYqChy5UqtpXBewsPJpk3J9etTLbZt2zYKISiE4Pbt2x0knOtx+fJl5sqViwC40kXvOziZH8gWAH2M//cBsDmVsh8g2fSVECJp8J3uAK7YVDpJ5kVRgLZtgd69gZUrtZbGOVm+XDU4GDMm1ZhiXbp0wdixY0ESH374IW7fvu1AIV2DwMBAdO3aFdHR0fjkk0/w8ccfay2SbUlJq9h7A1AEwH4At4x/Cxv3lwKwI0m53ACCABRIVn8lgMsALkFVRiUt6VeOQCQkycWLySpVyAsXtJbEOVEUcv588urVNIsaDAZ2796dAOjl5cXw8HAHCOgaxMbGslWrVgTARo0amWLYuSIwMwLRxIxXK6QZrwSAOr8fHS0TINmI8PBwNG3aFNevX8e7776L9evXu1ZEWTvxxRdfYOHChShZsiROnz6N0qVLay1SunE2M16JRDuEeFF5HDokgy5evQp06wYEB1tdNV++fNi4cSPy58+PDRs2YMqUKXYQ0LX49ddfsXDhQuTIkQObNm1yaeWRGlKBSLI2y5apayKffqquj2RFEuL0bNkCGH08rKV69epYtWoVAGDEiBHYunWrLSV0KQ4cOICvv/4agGp91aRJE40lsh9SgWQCZGrbDFCvnprPu3r1VM1WMzVCqHHDPvsMGD8+3c107doVY8aMAUm89957OHLkiA2FdA3u3LmDnj17wmAwYOjQoZlv0Tw5KS2MZNYtsy+iy9S26USmZLUZiqKwf//+BMACBQrwQhYyVPD19WWlSpVMqWlfSgPswsDJzHgldkCmtk0nSVOyhoUBWeHNmQSGDQNWrLBps0II/Pbbb3jnnXcQGhqKTp064c6dOzbtwxnx9/dHu3btcPfuXTRs2BBr1qyBe9LEZpkUqUCchBUrVqBOnTqoW7cuevfuDQCYOXMmateujdq1a2P27NkAgMjISHTp0gV169ZF7dq1sW7dOpDETz/9hDfeeAMNGjQwtdmmTRvs3bsXAPDzzz+b5mUlZggNBVq0ADp2VP0gMjNHjwJTpgD9+gH379u0aXd3d6xevRpt27bF06dP0aFDBzx58sSmfTgTwcHBaN++PW7cuAFvb2/s3r0b+fPn11osh+ChtQDOhhhj3Tx4g5INcHbA2Zfq8xfLzaOvXr2KCRMm4NixY/D09ERwcDDOnj2LP//8EydPngRJNG3aFK1atcLdu3dRqlQpbN++HQAQGhpqSm0bGhqK27dvY+DAgQDU1LajR4+Gv78/zp8/jy1btlh1blmO/PmBRo3UCLRly2otjX1p0QKYPl1NDFWhgs2bT7A+atu2Lc6cOYNOnTrh0KFDKFiwoM370pKwsDB06tQJly5dQvXq1bF3714UKVJEa7EchvQDSYYWCmTevHl4+vSpKcopAMyZMwdBQUGm7ISjRo1C0aJF0alTJ3Ts2BHvvfce3nzzTbRo0SLVtlu1aoWIiAgcPHgw62YntAa9HggKAooX11oS20OqytEYFNERBAQEoEWLFvDx8UHjxo2xY8cOeHp6Oqx/exIZGYk33ngDR44cQcWKFXH48GGUKVNGa7Hsgjk/EDkCSYY1D35b1Sf5kuOVOcWekP52x44dGD58ODp06IDRo0enWDYhta2np6dUHpbi4fGi8liyBChaVPWRcGVINZz9gQPA/v2Ag96SixYtij179qBVq1Y4ffo0XnvtNezevRvly5d3SP/2IiwsDD169MCRI0dQunRp7N+/P9Mqj1RJaWU9s27OaoV15coVVq1alYGBgSTJoKAgnj17lt7e3oyMjGRERAS9vLx47tw5+vn5MTo6miS5ceNGduvWLcU2Hz9+TG9vb167do3t2rXjrl27HHU6mYdTp0ghSA8P8tYtraXJGCEhZLVqZLZs5N69Du/ez8+PderUIQCWLl2aly9fdrgMtuLhw4f09vYmABYrVow3btzQWiS7AzNWWJo/1B25OasCIclly5bRy8uLderUYZ8+fUiSM2bMoJeXF728vDhr1iyS5K5du+jt7c26deuyUaNGPH369EttRUZGslmzZtyzZw9J8tChQ2zWrJmjTiXzoCjk8OHk5MlaS2Ib/PzI3bs16z4kJIQtW7YkABYsWJBHjx7VTJb0cvbsWZYsWZIAWL16dd65c0drkRyCOQUi10AkEmt49AgoVgzIkUNrSdLm7l1g927giy+0lsREdHQ0PvzwQ2zatAk5c+bE+vXr0bVrV63Fsoht27bh/fffR2RkJFq2bImNGzeicOHCWovlEGQsLIkko4SHAx06AC1bqmlenZmwMKBZM+DLL4Ft27SWxkSuXLnw119/oV+/foiJiUG3bt0wYsQIxKcSNt4ZWLBgAbp164bIyEh8/PHH2LNnT5ZRHqkhFYhEYimPH6tRfCMiAGc3SsifX3UUfPNN1WTXifDw8MDixYsxduxYCCEwadIktGjRAnfv3tVatJcICAjAe++9h8GDB0NRFIwePRorVqxADlcYgTqClOa1MuvmzGsgEhchMJBMOu8dFUXGxWknT1Lu3SNPnkz8rCikwaCZOJZw6NAhlilThgCYL18+rl69WmuRTPzzzz8sVqwYATBPnjxcsWKF1iJpBmQoE4nEBhQpAlSqlPhZpwPq1gX++08zkQAAp08DtWoB778PREWp+4QA3Jz7J96yZUtcvHgRPXr0QHh4OD766CP06dMHQUFBmskUEhKC3r17o0ePHvD390fr1q1x+fJlU4QISSLOfXdJJM5MfDywdStw/brqP6Il9eoBVasCTZsCMTHaymIlhQsXxoYNG7B48WLkypULK1asQKVKlTBu3DhEREQ4TA69Xo9Vq1ahdu3aWLVqFXLlyoW5c+di//79qFixosPkcClSGpZk1k1OYUlsTkwMuW3bi/u2byeDguzb78mT5ODBZGRk4r6wMPv26QCuXbvGjh07EoDJz2LOnDmMiYmxW58xMTFctGiRKZIuADZv3pw3b960W5+uBqQfiFQgEgdw+TLp7k4WKqQqF3vRvr368x0+3H59aMi///7LZs2amR7o5cuX5/Tp03n//n2b9REREcFZs2axdOnSpn6qVq3KpUuXZqpQ7LbAqRQIgJ4ArgJQADRKpVwnAD4AbgMYlmR/YQB7Adwy/i1kSb9SgUjszvnz6sPd6AxKUl3Mnj9fVS7p4fBh8vvvybt3E/ft3k0OHaounGdSFEXhpk2b6OXlZXrAA2CTJk04depU3k16PSxs7/r165w1axY7derEnDlzmtqsU6cO165dKxWHGcwpEE0cCYUQNaEqj0UAfiD5knefEMIdwE0A7QH4AjgN4AOS14QQUwEEk5wshBgGVYH8lFa/0pFQ4jAMBiAhH8SJE0Dz5uoi99WriWVWrQIKFACSOtLt2aOuqfTpAyRErv32W2DOHODHH4GpUx11Bk6DwWDApk2bsG7dOmzfvh1RCUYCAKpWrYrKlSujQoUKqFixIipUqIASJUogNDQUQUFBCAwMRFBQEJ48eYKDBw/iwYMHL7T9yiuvYNiwYXjzzTdfikcnScSpgimSvA4grS+sCYDbJO8ay64F0A3ANePf1sZyywEcBJCmApFIHEbSZEK5cwMffvhi4qq4OKBvXzUPu16fuH/mTNV7vHp1oFMndV+3bkCuXED37o6R3clwd3fHO++8g3feeQdRUVHYuXMnNmzYgG3btuHWrVu4deuWxW15enqiY8eO6NixIzp06IDimTHqsgPRNJSJEOIgzI9A3gXQiWQ/4+feAJqSHCyEeE6yYJKyISQLmeljAIABxo+1AVyx7VlojieAQK2FsAOZ8bzkObkGmfGcgIydV3mSRZPvtNsIRAixD0CJFA6NJLnZkiZS2Ge1tiO5GMBio0xnUhqGuTKZ8ZyAzHle8pxcg8x4ToB9zstuCoRkuww24QsgaVq4MgAeG/9/JoQoSfKJEKIkAP8M9iWRSCQSK3FmR8LTAKoKISoKIbIDeB9AQk7WLQD6GP/vA8CSEY1EIpFIbIgmCkQI0V0I4QugOYDtQojdxv2lhBA7AICkHsBgALsBXAewnmSCCctkAO2FELegWmlNtrDrxTY8DWchM54TkDnPS56Ta5AZzwmww3llqXwgEolEIrEdzjyFJZFIJBInRioQiUQikaSLLKFAhBCdhBA+QojbRs91l0cI8YcQwl8IkWn8WoQQZYUQ/wohrgshrgohvtFapowihMgphDglhLhoPKcxWstkK4QQ7kKI80II50l5mEGEEPeFEJeFEBeEEJkibIUQoqAQYoMQ4obxt9XcZm1n9jWQ1EKiaCpYBhFCtAQQAWAFydpay2MLjCbZJUmeE0LkA3AWwNuu/F0JNdxCHpIRQohsAI4C+IbkCY1FyzBCiO8BNAKQn+SbWstjC4QQ96HG58s0joRCiOUAjpBcYrRozU3yuS3azgojEFNIFJJxABJCorg0JA8DCNZaDltC8gnJc8b/w6Fa35XWVqqMYYxFl5DUIptxc/m3NiFEGQBdACzRWhaJeYQQ+QG0BLAUAEjG2Up5AFlDgZQG8CjJZ1+4+EMpKyCEqACgPoCTGouSYYxTPRegOrzuJeny5wRgNoChUIOiZiYIYI8Q4qwxDJKrUwlAAIA/jdONS4QQeWzVeFZQIDYJiSJxHEKIvAD+BvAtyTCt5ckoJA0k60GNptBECOHSU45CiDcB+JM8q7UsduBVkg0AvAFgkHGq2JXxANAAwG8k6wOIBGCzdeCsoEBSC4kicTKM6wR/A1hN8h+t5bElxqmDg1Dz3LgyrwJ4y7hesBZAWyHEKm1Fsg0kHxv/+gPYCHUK3JXxBeCbZNS7AapCsQlZQYGkFhJF4kQYF5yXArhOcqbW8tgCIURRIURB4/+5ALQDcENToTIIyeEky5CsAPX3dIDkxxqLlWGEEHmMxhswTvN0gItH7yb5FMAjIUR1467XoabEsAma5ANxJCT1QoiEkCjuAP5IEhLFZRFC/A9qThRPY1iYX0gu1VaqDPMqgN4ALhvXDABgBMkd2omUYUoCWG60BnSDGpIn05i9ZjKKA9hozFPkAWANyV3aimQTvgKw2vgCfRfAp7ZqONOb8UokEonEPmSFKSyJRCKR2AGpQCQSiUSSLqQCkUgkEkm6kApEIpFIJOlCKhCJRCKRpAupQCQSiUSSLqQCkUgkEkm6kApEItEQIURjIcQlY96QPMacIS4dK0uSdZCOhBKJxgghxgPICSAX1LhFkzQWSSKxCKlAJBKNMYaYOA0gBsArJA0aiySRWIScwpJItKcwgLwA8kEdiUgkLoEcgUgkGiOE2AI1LHpFqCl9B2sskkRiEZk+Gq9E4swIIT4BoCe5xhix97gQoi3JA1rLJpGkhRyBSCQSiSRdyDUQiUQikaQLqUAkEolEki6kApFIJBJJupAKRCKRSCTpQioQiUQikaQLqUAkEolEki6kApFIJBJJuvh/AH6x/HsEivUAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# We can continue to add to our existing plot. Let's also add a legend to \n", "# the plot.\n", "\n", "# First, reproduce the original plot.\n", "plt.plot(xx, np.sin(xx), 'k-', xx, np.cos(xx), 'r:', linewidth = 2)\n", "plt.xlabel('x')\n", "plt.ylabel('y')\n", "plt.axis((0, 2*math.pi, -1, 1))\n", "\n", "# Now add the new curve.\n", "plt.plot(xx, np.sin(xx)**2, 'b--', linewidth = 2)\n", "\n", "# Add another new curve and the legend.\n", "plt.plot(xx, np.cos(xx)**2, 'g-.', linewidth = 2)\n", "plt.legend((r'$\\sin x$', r'$\\cos x$', r'$\\sin^2 x$', r'$\\cos^2 x$'),\\\n", " loc = 'lower left', frameon=False);" ] }, { "cell_type": "code", "execution_count": 12, "id": "permanent-idaho", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Using a for loop, we can easily add many curve to a single\n", "# plot. In the loop below, normrnd(mu, sigma) is used to generate random\n", "# numbers drawn from a normal distribution with mean mu and standard\n", "# deviation sigma. The normally-distributed random number is obtained using\n", "# 'np.random.normal(mu, sigma)' and 'for i in range(10)' loops i from 0 to 9. \n", "xx = np.array(np.arange(0, 100, 1))\n", "plt.plot(xx, xx**2, 'k-')\n", "plt.xlabel('x')\n", "plt.ylabel('y')\n", "plotformat = ['k--', 'k:', 'k-.', 'r-', 'r--', 'r:', 'r-.', 'b-', 'b--', 'b:'];\n", "mu = 2\n", "sigma = 0.05\n", "for i in range(10):\n", " n = np.random.normal(mu, sigma)\n", " plt.plot(xx, xx**n, plotformat[i]);" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.8.8" } }, "nbformat": 4, "nbformat_minor": 5 }