{
  "metadata": {
    "language_info": {
      "codemirror_mode": {
        "name": "python",
        "version": 3
      },
      "file_extension": ".py",
      "mimetype": "text/x-python",
      "name": "python",
      "nbconvert_exporter": "python",
      "pygments_lexer": "ipython3",
      "version": "3.8"
    },
    "kernelspec": {
      "name": "python",
      "display_name": "Python (Pyodide)",
      "language": "python"
    }
  },
  "nbformat_minor": 4,
  "nbformat": 4,
  "cells": [
    {
      "cell_type": "code",
      "source": "from sympy import *\nfrom sympy.plotting import plot",
      "metadata": {
        "trusted": true
      },
      "execution_count": 280,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": "x = symbols ('x')\nexpression = x**1/1 + x**3/3 + x**5/5 + 2**(x/2+1) \nexpression\nplot(expression)",
      "metadata": {
        "trusted": true
      },
      "execution_count": 281,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": "<pyolite.display.Image at 0x727f458>",
            "image/png": 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"
          },
          "metadata": {}
        },
        {
          "execution_count": 281,
          "output_type": "execute_result",
          "data": {
            "text/plain": "<sympy.plotting.plot.Plot at 0x7263168>"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": "f=sin(x)/x\nplot(f)",
      "metadata": {
        "trusted": true
      },
      "execution_count": 282,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": "<pyolite.display.Image at 0x6f47ae8>",
            "image/png": 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"
          },
          "metadata": {}
        },
        {
          "execution_count": 282,
          "output_type": "execute_result",
          "data": {
            "text/plain": "<sympy.plotting.plot.Plot at 0x72e56b0>"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": "d=diff(f)\nplot(d)",
      "metadata": {
        "trusted": true
      },
      "execution_count": 283,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": "<pyolite.display.Image at 0x72b4ce0>",
            "image/png": 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"
          },
          "metadata": {}
        },
        {
          "execution_count": 283,
          "output_type": "execute_result",
          "data": {
            "text/plain": "<sympy.plotting.plot.Plot at 0x6f3a050>"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": "i=integrate(f)\nplot(i)",
      "metadata": {
        "trusted": true
      },
      "execution_count": 284,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": "<pyolite.display.Image at 0x6e2d8f8>",
            "image/png": 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6YlyMn9Tl2AyZTIaZYyLw8/xxiPL3QKmyGfd8ug8rd+RAr2fbSbvCmkY89+9juO6tVKw7WASdXuDa/gH4cd5YfPXwGIY/C8VJIEQkuYaGBsTGxuLhhx/G7bff3u3jsrKyOrTeBQba37i3wppGrDtQCABYfMMAdq+ZwKAQb2z403g8/9NxbDhagn/+NxM7sirxt1uHoF+Ql9TlSaawphEfbMvGj4eLoO3Q4tcPI/twQW1LxwBIRJKbNm0apk2bdsXHBQYGwsfHx/gFWZGPd+RAqxeY0M8fYyLZ0mIqnnInvDszDonRfnhpw0mk5VZj2ru78NC4vngqqT885fbz6/RseR0+3pGDXzJK/tDVy+BnTezniiUimxMXFwe1Wo2hQ4fipZdewrhx47rcV61WQ61WG56rVKou97UW1fVq/HioCAAwf3KMxNXYPplMhnvHRGBctD/+9uspbD1djs925eGXjBL8dfog3BIbatMtsEcLa/FRajZ+O1lu2Dahnz8WJvVn8LNCDIBEZHVCQkKwcuVKjBo1Cmq1GqtWrcKkSZOQnp6OESNGdHrM8uXL8fLLL5u5UtP6Zl8B1Fo9hvVWIIGtf2YT4eeOVbNHYXtmBV76z0mcq27EU2sz8F16Af5261AMCLadbmEhBNJyq/HR9hzszq4ybE8eEoQnJ8UgNtxHuuLoqnAWMBFZFJlMhvXr12PGjBlXdNzEiRMRERGBr7/+utPXO2sBDA8Pt9pZwM0tOox/bRuq6jV4d2Yc718rkeYWHVbtysUH27PR3KKHo4MMsxP7YuH1/eDt6ix1eT2m1uqw+UQZVu/JR0ZhLYDWxbJvjQvFvInRdj320VawBZCIbMKYMWOwe/fuLl+Xy+WQy+VmrMi0fj5SjKp6DUIVrrhxWIjU5dgtV2dHLLiuH2bE98Yrv57G5pNl+GJPHjYcLcHzNw7EbfG9rapbuKS2Cd+lF2DtgQLDfXrlTg64Z3Q45k6IQrivu8QVkrEwABKRTcjIyEBIiH0EIb1eYNXuPADAQ+MieSstCxDWyx0rHxyJHWcq8fKGk8itasCidUfx2a483JcQgVvjQi22RVAIgb051fgqLR9bTpWjfYWbIG857hvTB/clRCDAy3b+8UStGACJSHL19fXIzs42PM/Ly0NGRgZ8fX0RERGBpUuXori4GF999RUA4J133kFkZCSGDBmC5uZmrFq1Ctu2bcP//vc/qd6CWe04U4nsinp4yZ0wc0y41OXQBSb2D8B/F07A57vz8H5KNk6XqvDCzyfwj42ncdPwEMwcE4ERET6StwoKIXC8WIlNx8vw3xOlOFfdaHjtmihfzErsi+sHB/EfFzaMAZCIJHfw4EFMnjzZ8HzRokUAgNmzZ2PNmjUoLS1FQUGB4XWNRoPFixejuLgY7u7uGD58OLZu3drhZ9iyz3blAgBmjgmHl4W2KtkzuZMjnpwUg3tHR+CnI8VYu78AZyvq8cOhIvxwqAj9gzxx75gI3BbfGz7u5ru1nF4vkFFUi/8eL8Wm42Uorm0yvObh4ojbR4ThwcQ+6M/xfXaBk0CIyC5Z663gThQrcdP7u+HoIMPOZyejt4+b1CXRZQghcLjgPL5LL8TG4yVobtEDAFycHHDj0GBcNygIw3or0MfXHQ4OxmsZbNHpkVNZj5PFKhwtqsWWU+UoVTYbXndzdsR1gwJx49AQTBoQAA87WsuQGACJyE5ZawBcuPYIfs4owS2xoXjv3nipy6ErpGxqwYaMYvxrfyFOlXZci9JL7oQhvb0xNFSBYWEKDO2tQKSfR7dCYYNai8wyFU6WqHCyWIVTpSpklddBo9V32M9T7oQpgwIxbWgIJvYPgJuLo1HfH1kPBkAiskvWGADLlM0Y/9o2aPUC/1kwHsPCFFKXRD3UPgbvp8PFyCisxelSFdR/CGsA4O7ieNFdRv74S1sIoLpBjc5+m3vKnTA4xBuDQ70xLsYfE/r5w9WZoY84BpCIyGr8a38BtHqBMX19Gf6snEwmw/AwHwwP8wHQ2l2bXVGP48VKnGh7nCpVoVGjQ6NG162fGeztisGh3hgc4o0hoa2hL7yXcbuVyXYwABIRWQGtTo91BwsBAPdfEyFxNWRszo4OGBTijUEh3rh7VOvMbq1Oj3M1jVC3XNwy+MdJxAFecvh7cqkW6j4GQCIiK5CaVYlSZTN6uTtj6tBgqcshM3BydEB0gKfUZZCN4gI/RERW4F/7W5fBuXNkGOROHMNFRFeHAZCIyMKV1DZhe1YFAODeMez+JaKrxwBIRGThvj9QCL1ovUNDFLsEicgIGACJiCyYVqfH9wdaJ3/cl9BH4mqIyFYwABIRWbDUrEqUqZrh6+GC5CFBUpdDRDaCAZCIyIJ9x8kfRGQCDIBERBaquLYJqZz8QUQmwABIRGSh2id/jI32Q6S/h9TlEJENYQAkIrJAer3Aj4eKAAAz2fpHREbGAEhEZIEOF5xHcW0TPOVOuGEwJ38QkXExABIRWaBfMkoAAMlDguHqzMkfRGRcDIBERBamRafHxuOlAIBb40IlroaIbBEDIBGRhdmTXYWaBg38PV0wNtpP6nKIyAYxABIRWZgNbd2/Nw0PhZMjv6aJyPj4zUJEZEGaNDr8drIMAHBzLLt/icg0GACJiCxISmY5GjQ6hPVyw4gIH6nLISIbxQBIRGRB2mf/3hoXCplMJnE1RGSrGACJiCyEsrHFcOu3W+N6S1wNEdkyBkAiIgvx3xOlaNEJDAz2Qv8gL6nLISIbxgBIRGQhfu/+ZesfEZkWAyARkQUoUzZjX141AODm2BCJqyEiW8cASERkAX49VgIhgNF9eyGsl7vU5RCRjWMAJCKyAO3dv7ew+5eIzIABkIhIYjmV9TherISTgwzTh7H7l4hMjwGQiEhi7bd+m9DPH74eLhJXQ0T2gAGQiEhCQghsOMrZv0RkXgyAREQSOl6sRF5VA1ydHXD94CCpyyEiO8EASEQkofbJH9cPDoaH3EniaojIXjAAEhFJRKcX+E9b9+8tsaESV0NE9oQBkIhIIum51aioU0Ph5oyJ/QOkLoeI7AgDIBGRRNq7f28cFgwXJ34dE5H58BuHiEgCGq0e/z1RCgC4JZazf4nIvBgAiYgksC+3GqpmLQK85BgT6St1OURkZxgAiYgksPV0OQAgaVAgHB1kEldDRPaGAZCIyMyEENh6qj0Acu0/IjI/BkAiIjM7WaJCibIZbs6OGBfjL3U5RGSHGACJiMysvft3Qj9/uDo7SlwNEdkjBkAiIjPb0t79y1u/EZFEGACJSHI7d+7EzTffjNDQUMhkMvz888+XPSY1NRUjRoyAXC5HTEwM1qxZY/I6jaGktgknS1SQyYApAwOlLoeI7BQDIBFJrqGhAbGxsfjwww+7tX9eXh6mT5+OyZMnIyMjAwsXLsSjjz6K3377zcSVXr2Utu7fkRG94Ocpl7gaIrJXvPM4EUlu2rRpmDZtWrf3X7lyJSIjI/HWW28BAAYNGoTdu3djxYoVSE5ONlWZRvE/dv8SkQVgCyARWZ20tDQkJSV12JacnIy0tDSJKuqeuuYW7MutBgBczwBIRBJiCyARWZ2ysjIEBXUMUEFBQVCpVGhqaoKbm9tFx6jVaqjVasNzlUpl8jr/aOeZKrToBKL8PRAd4Gn28xMRtWMLIBHZheXLl0OhUBge4eHhZq9hy6kyAGz9IyLpMQASkdUJDg5GeXl5h23l5eXw9vbutPUPAJYuXQqlUml4FBYWmqNUgxadHtsyKwBw/B8RSY9dwERkdRITE7Fp06YO27Zs2YLExMQuj5HL5ZDLpZt1eyC/BqpmLXw9XDAiopdkdRARAWwBJCILUF9fj4yMDGRkZABoXeYlIyMDBQUFAFpb72bNmmXY/4knnkBubi6effZZZGZm4qOPPsK6devw9NNPS1F+t2w91dr6d93AQDg6yCSuhojsHQMgEUnu4MGDiI+PR3x8PABg0aJFiI+Px4svvggAKC0tNYRBAIiMjMTGjRuxZcsWxMbG4q233sKqVassdgkYIQS2nG4d/5c0iN2/RCQ9mRBCSF0EEZG5qVQqKBQKKJVKeHt7m/RcWWV1SH5nJ1ycHHDkhevhIefoGyKSFlsAiYhMbGvb3T/Gx/gz/BGRRWAAJCIysS3td/9g9y8RWQgGQCIiE6pQNSOjsBYAkDQoUNpiiIjaMAASEZlQStvaf7HhPgj0dpW4GiKiVgyAREQm1N79ez1b/4jIgjAAEhGZSKNGi93ZVQCA6wcHS1wNEdHvGACJiExk19kqaLR6hPu6oX+Qp9TlEBEZMAASEZnIhbN/ZTLe/YOILAcDIBGRCej0AtvaJoBcP5jLvxCRZWEAJCIygSMF51HToIG3qxNG9/WVuhwiog4YAImITKC9+/e6gYFwduRXLRFZFn4rERGZwJa2278lsfuXiCwQAyARkZHlVNYjt7IBzo4yTOwfIHU5REQXYQAkIjKy7W2TPxIi/eDl6ixxNUREF2MAJCIysh1nKgEAkwaw9Y+ILBMDIBGRETW36LA/rwYAcC27f4nIQjEAEhEZUXpeDdRaPYK9XdEvkHf/ICLLxABIRGREO9u6fyf2D+DdP4jIYjEAEhEZUXsAZPcvEVkyBkAiIiMpqW3C2Yp6OMiA8TH+UpdDRNQlBkAiIiNpb/2LDfeBwp3LvxCR5WIAJCIykp1nfx//R0RkyRgAiYiMQKvTY/fZKgAc/0dElo8BkIjICI4WKaFq1kLh5ozYMB+pyyEiuiQGQCIiI2i/+8f4GH84OnD5FyKybAyARERG8PvyL5z9S0SWjwGQiOgq1TZqcKyoFgDH/xGRdWAAJCK6Sruzq6AXQP8gT4Qo3KQuh4joshgAiYiu0o6stu7ffmz9IyLrwABIRHQVhBCG9f/Y/UtE1oIBkIjoKpwpr0e5Sg1XZweMifSVuhwiom5hACQiugrts38TIv3g6uwocTVERN3DAEhEdBXY/UtE1ogBkIioh5o0OqTn1QAAJnL9PyKyIgyAREQ9tC+vGhqtHqEKV0QHeEpdDhFRtzEAEhH1UPv4v4kDAiCT8fZvRGQ9GACJiHrIcPs3rv9HRFaGAZCIqAeKzjcip7IBjg4yjI3h+D8isi4MgEREPbDzTBUAIC7cBwo3Z4mrISK6MgyAREQ9YBj/x+VfiMgKMQASEV0hrU6PPTmtLYBc/4+IrBEDIBHRFcoorEVdsxY+7s4Y1lshdTlERFeMAZCI6Artzm5t/RsX4w9HBy7/QkTWhwGQiOgK7c2uBgCMi+bsXyKyTgyARGQRPvzwQ/Tt2xeurq5ISEjA/v37u9w3NTUVMpnsokdZWZnJ62zUaHGk8DwAYFyMn8nPR0RkCgyARCS577//HosWLcKyZctw+PBhxMbGIjk5GRUVFZc8LisrC6WlpYZHYGCgyWvdn1eDFp1Abx83RPi6m/x8RESmwABIRJJ7++23MXfuXDz00EMYPHgwVq5cCXd3d3zxxReXPC4wMBDBwcGGh4OD6b/S9ua0df/G+PH2b0RktRgAiUhSGo0Ghw4dQlJSkmGbg4MDkpKSkJaWdslj4+LiEBISguuvvx579uy55L5qtRoqlarDoyf2XDABhIjIWjEAEpGkqqqqoNPpEBQU1GF7UFBQl2P6QkJCsHLlSvz444/48ccfER4ejkmTJuHw4cNdnmf58uVQKBSGR3h4+BXXWtOgwanS1uCYGM3xf0RkvZykLoCI6EoNGDAAAwYMMDwfO3YscnJysGLFCnz99dedHrN06VIsWrTI8FylUl1xCEzLqYYQQP8gTwR6ufaseCIiC8AASESS8vf3h6OjI8rLyztsLy8vR3BwcLd/zpgxY7B79+4uX5fL5ZDL5T2uE4Dh7h9jufwLEVk5dgETkaRcXFwwcuRIpKSkGLbp9XqkpKQgMTGx2z8nIyMDISEhpijRYC/H/xGRjWALIBFJbtGiRZg9ezZGjRqFMWPG4J133kFDQwMeeughAK3dt8XFxfjqq68AAO+88w4iIyMxZMgQNDc3Y9WqVdi2bRv+97//mazG4tom5Fc3wkEGJET5muw8RETmwABIRJK75557UFlZiRdffBFlZWWIi4vD5s2bDRNDSktLUVBQYNhfo9Fg8eLFKC4uhru7O4YPH46tW7di8uTJJquxffbv8DAfeLs6m+w8RETmIBNCCKmLICIyN5VKBYVCAaVSCW9v78vuv3DtEfycUYL5k6PxTPJAM1RIRGQ6HANIRHQZQgjsyeH9f4nIdjAAEhFdRnZFPSrr1JA7OWBEn15Sl0NEdNUYAImILqN9/N/ovr5wdXaUuBoioqvHAEhEdBnt3b9jY3j3DyKyDQyARESXoNXpsS+X4/+IyLYwABIRXcKJEhXqmrXwdnXC0N4KqcshIjIKBkAioktoH/93TZQfHB1kEldDRGQcDIBERJewN4e3fyMi28MASETUheYWHQ7mnwcAjOMEECKyIQyARERdOHzuPNRaPQK95IgO8JS6HCIio2EAJCLqwp4Lun9lMo7/IyLbwQBIRNSFPdlt6/9Fs/uXiGwLAyARUSdUzS04VlQLgBNAiMj2MAASEXUiPbcGegFE+nsg1MdN6nKIiIyKAZCIqBPt6/+x+5eIbBEDIBFRJ7j+HxHZMgZAIqI/qKhrxpnyeshkQGIUWwCJyPYwABIR/UFaTuvs38Eh3ujl4SJxNURExscASET0B+3j/9j9S0S2igGQiOgCQgiu/0dENo8BkIjoAgU1jSiubYKzowxjIn2lLoeIyCQYAImILtDe+hcf3gvuLk4SV0NEZBoMgEREF2i//+/YGHb/EpHtYgAkImqj1wvDDGBOACEiW8YASETUJrOsDjUNGri7OCI2zEfqcoiITIYBkIioTfvyL2MifeHixK9HIrJd/IYjImpjuP1bNLt/ici2MQASEQFo0emxP68GACeAEJHtYwAkIgJwrEiJBo0OPu7OGBTsLXU5REQmxQBIRARgX27r7N9rIv3g4CCTuBoiItNiACQiAgzLvyTy9m9EZAcYAInI7qm1OhzIbxv/xwBIRHaAAZCI7F5GQS3UWj38PeWICfSUuhwiIpNjACQiu7f3gu5fmYzj/4jI9jEAEpHdS2ubAJIYxe5fIrIPDIBEZNeaNDpkFNQC4AQQIrIfDIBEZNcyCmuh0ekRonBFXz93qcshIjILBkAismv7837v/uX4PyKyFwyARGTX0ttu/8buXyKyJ05SF0BEluH06dNYu3Ytdu3ahXPnzqGxsREBAQGIj49HcnIy7rjjDsjlcqnLNLqTJSrA2Y0BkIjsClsAiezc4cOHkZSUhPj4eOzevRsJCQlYuHAh/v73v+OBBx6AEAJ//etfERoaitdeew1qtVrqko1KpxcI93VDWC+O/yMi+8EWQCI7d8cdd+CZZ57Bv//9b/j4+HS5X1paGt5991289dZbeP75581XoBmMjfKXugQiIrNiACSyc2fOnIGzs/Nl90tMTERiYiJaWlrMUJV5sfuXiOwNu4CJ7Fx3wh8ANDY2XtH+V+rDDz9E37594erqioSEBOzfv/+S+6empmLEiBGQy+WIiYnBmjVrruh8ysbfgywDIBHZGwZAIjKYMmUKiouLL9q+f/9+xMXFmey833//PRYtWoRly5bh8OHDiI2NRXJyMioqKjrdPy8vD9OnT8fkyZORkZGBhQsX4tFHH8Vvv/3W7XMePNc6+7evvzuCvF2N8j6IiKwFAyARGbi6umL48OH4/vvvAQB6vR4vvfQSxo8fjxtvvNFk53377bcxd+5cPPTQQxg8eDBWrlwJd3d3fPHFF53uv3LlSkRGRuKtt97CoEGDsGDBAtx5551YsWJFt8+5v235lzF9fY3yHoiIrAnHABKRwcaNG/Hhhx/i4Ycfxi+//IL8/HycO3cOv/76K2644QaTnFOj0eDQoUNYunSpYZuDgwOSkpKQlpbW6TFpaWlISkrqsC05ORkLFy7s9nkP5LcGwIRIdv8Skf3pcQAUQqCurs6YtRCRBXjwwQeRk5ODFStWwMnJCZs2bUJCQgJUKpVJzldaWgqdTgdPT88O5/Dx8cHJkyc7PW9xcTEmT57c4TUvLy+oVCqUl5fDzc3tomPUarVhCZvzjS3ILGjtXh7o52Sy90ZEZGpeXl49uouRTAghenJClUoFhULRk0OJiIiIyAiUSiW8vb2v+LgeB0BztwCqVCqEh4ejsLCwR2/UFvEzuRg/k85193MZMGAA+vTpg08//RR9+/YFAPz4449YvHgxRo0ahX//+99Gr02j0SAoKAhff/01brrpJsP2xx9/HEqlEmvXrr3omKlTpyI2NhavvfaaYds333yDJUuWoKioqNPzXNgC+MbWXPy4Pw/FH8/BqVOn0Lt3byO/K+vEvz+d4+dyMX4mF5PqM+lpC2CPu4BlMpkkf+je3t682P6An8nF+Jl07nKfy5NPPom//vWvcHD4fX7YQw89hOuvvx4PPfSQyT7TUaNGIS0tDffddx+A1sknu3btwoIFCzo954QJE7Bp06YOr+3evRtjx47tVo3Hq7PhIG+984eXlxevlT/g35/O8XO5GD+Ti1nLZ8JZwERk8MILL3QIf+3CwsKwZcsWk5130aJF+Oyzz/Dll1/i9OnTmDdvHhoaGvDQQw8BAJYuXYpZs2YZ9n/iiSeQm5uLZ599FpmZmfjoo4+wbt06PP3005c9V7mqGbmVDbjyfy8TEdkOzgImsnMFBQWIiIjo9v7FxcVG7zK95557UFlZiRdffBFlZWWIi4vD5s2bERQUBKB1okhBQYFh/8jISGzcuBFPP/003n33XYSFhWHVqlVITk6+7LnScqoBAP2DPFBwmX2JiGyV1bQAyuVyLFu2DHK5XOpSLAY/k4vxM+ncpT6X0aNH4/HHH8eBAwe6PF6pVOKzzz7D0KFD8eOPP5qkxgULFuDcuXNQq9VIT09HQkKC4bU1a9YgNTW1w/6TJk3CkSNHoFarkZOTgzlz5nTrPO0BcHTb+n+8Vn7Hvz+d4+dyMX4mF7O2z6THk0CIyDbU1NTglVdewRdffAFXV1eMHDkSoaGhcHV1xfnz53Hq1CmcPHkSI0aMwAsvvGDSBaHN4drXt6OgphEf3DkQN4+O6fEMOiIia8YASGTnjh07hiFDhkCj0WDTpk3YtWsXzp07h6amJvj7+yM+Ph7JyckYOnSo1KVetaLzjRj/2nY4Osiw6+lr0DvQjwGQiOwSxwAS2bn4+HiUlZUhICAAzzzzDA4cOAA/P9u8O0Z79+/wMAU85fz6IyL7ZTVjAInINHx8fJCbmwsAyM/Ph16vl7gi02kPgIlRthlwiYi6y2IC4KuvvoqxY8fC3d0dPj4+ne5TUFCA6dOnw93dHYGBgXjmmWeg1Wov+XObm5sxf/58+Pn5wdPTE3fccQfKy8tN8A5MLzU1FTKZrNPHpQbwz5kz56L9p06dasbKTatv374Xvb9//vOflzxGCIEXX3wRISEhcHNzQ1JSEs6ePWumik0rPz8fjzzyCCIjI+Hm5obo6GgsW7YMGo2m0/3vuOMOTJw4EV5eXhBCIDAw0PA5uru7IyoqyvCwNh9++CH69u0LV1dXjElIwI7MUgDA2Gj/TvdPTU3FiBEjIJfLERMTgzVr1pixWtNavnw5Ro8eDS8vLwQGBmLGjBnIysq65DFdfeeUlZWZqWrTe+mlly56fwMHDrzkMbZ8nQCdf6fKZDLMnz+/0/1t8TrZuXMnbr75ZoSGhkImk+Hnn3/u8HpPf4f88MMPGDhwIFxdXTFs2DBs2rTJRO/g8iymD0Sj0eCuu+5CYmIiPv/884te1+l0mD59OoKDg7F3716UlpZi1qxZcHZ2xj/+8Y8uf+7TTz+NjRs34ocffoBCocCCBQtw++23Y8+ePaZ8OyYxduxYlJaWdtj2wgsvICUlBaNGjbrksVOnTsXq1asNz61lllJ3/e1vf8PcuXMNz728vC65/+uvv4733nsPX375JSIjI/HCCy8gOTkZp06dgqurq6nLNanMzEzo9Xp88skniImJwYkTJzB37lw0NDTgzTffvGj/Tz/9FLfffjuWLVuG/fv349lnn4WnpycAwMnJCe7u7uZ+C0bx/fffY9GiRVi5ciUSEhLw6nufYU+THk4OMozs0wstzQ0d9s/Ly8P06dPxxBNP4Ntvv0VKSgoeffRRhISEdGt5GUu3Y8cOzJ8/H6NHj4ZWq8Xzzz+PG264AadOnYKHh8clj83KyuowTjIwMNDU5ZrVkCFDsHXrVsNzJ6eufzXa+nUCAAcOHIBOpzM8P3HiBK6//nrcddddlzzOlq6ThoYGxMbG4uGHH8btt99+0es9+R2yd+9e3HvvvVi+fDluuukmfPfdd5gxYwYOHz4szRhrYWFWr14tFArFRds3bdokHBwcRFlZmWHbxx9/LLy9vYVare70Z9XW1gpnZ2fxww8/GLadPn1aABBpaWlGr93cNBqNCAgIEH/7298uud/s2bPFrbfeap6iJNCnTx+xYsWKbu+v1+tFcHCweOONNwzbamtrhVwuF//6179MUKH0Xn/9dREZGXnJfWbPni3Cw8OFSqUyU1WmNWbMGDF//nzD82/S8kSf534V1zz/vRBCCKVSKQAIpVIphBDi2WefFUOGDOnwM+655x6RnJxsvqLNqKKiQgAQO3bs6HKf7du3CwDi/Pnz5ivMzJYtWyZiY2O7vb+9XSdCCPHUU0+J6OhoodfrO33d1q8TAGL9+vWG5z39HXL33XeL6dOnd9iWkJAgHn/8caPX3B0W0wV8OWlpaRg2bJhhYVgASE5OhkqlwsmTJzs95tChQ2hpaUFSUpJh28CBAxEREYG0tDST12xqGzZsQHV1teFuCZeSmpqKwMBADBgwAPPmzUN1dbUZKjSff/7zn/Dz80N8fDzeeOONSw4NyMvLQ1lZWYfrQqFQICEhwSaui84olUr4+vpedj+VSoXo6Girv040Gg0OHTrU4c94X955AIC+LLPTY9LS0jrsD7R+x9jyNQGgW9dFXFwcQkJCcP3111tl78nlnD17FqGhoYiKisL999/fYdHxP7K360Sj0eCbb77Bww8/fNn7zdr6ddKup79DLO3asZgu4MspKyvrEP4AGJ53Nc6grKwMLi4uF40pDAoKsuqxCe0+//xzJCcnIyws7JL7TZ06FbfffjsiIyORk5OD559/HtOmTUNaWhocHR3NVK3p/PnPf8aIESPg6+uLvXv3YunSpSgtLcXbb7/d6f7tf/adXU+2cF38UXZ2Nt5///1Ou38vZEvXSVVVFXQ6neHPWAiBtJwqAICm6ESnx3T1HaNSqdDU1AQ3NzfTFm1Ger0eCxcuxLhx4y7Z9RQSEoKVK1di1KhRUKvVWLVqFSZNmoT09HSMGDHCjBWbTkJCAtasWYMBAwagtLQUL7/8MiZMmIATJ050OpTEnq4TAPj5559RW1t7yYXW7eE6uVBPf4d0de1I9XvHpAFwyZIleO211y65z+nTpy874NbW9eRzKioqwm+//YZ169Zd9ufPnDnT8P/Dhg3D8OHDER0djdTUVEyZMqXnhZvQlXwmixYtMmwbPnw4XFxc8Pjjj2P58uU2NdaxJ9dJcXExpk6dirvuuqvDGMnOWON10l1nyutRVa+Bo9DBWVkkdTmSmz9/Pk6cOIHdu3dfcr8BAwZgwIABhudjx45FTk4OVqxYga+//trUZZrFtGnTDP8/fPhwJCQkoE+fPli3bh0eeeQRCSuzDJ9//jmmTZuG0NDQLvexh+vEFpk0AC5evPiyt2fq7szC4OBg7N+/v8O29tm8wcHBXR6j0WhQW1vboRWwvLy8y2Ok0JPPafXq1fDz88Mtt9xyxeeLioqCv78/srOzLfYX+9VcOwkJCdBqtcjPz+/wpdSu/c++vLwcISEhhu3l5eWIi4vrcc2mdqWfSUlJCSZPnoyxY8fi008/veLzWcN10hV/f384OjoaviP2trX+eWsqERIU0OkxwcHBF60QUF5eDm9vb5tq1VmwYAF+/fVX7Ny587K9B50ZM2bMZYOjNfPx8UH//v2RnZ3d6ev2cp0AwLlz57B161b89NNPV3ysLV8nPf0d0tW1I1UeMWkADAgIQEBA51+2VyoxMRGvvvoqKioqDDOLtmzZAm9vbwwePLjTY0aOHAlnZ2ekpKTgjjvuANA6S6mgoACJiYlGqcsYrvRzEkJg9erVhlnQV6qoqAjV1dUdLlxLczXXTkZGBhwcHLqcgRYZGYng4GCkpKQY/rKqVCqkp6dj3rx5PS3Z5K7kMykuLsbkyZMxcuRIrF69Gg4OVz7c1xquk664uLhg5MiRSElJwYwZM7C3bf2/qpN7cc91nf/dT0xMvGhJhi1btljUd8XVEELgT3/6E9avX4/U1FRERkb26OdkZGRY5TXRXfX19cjJycGDDz7Y6eu2fp1caPXq1QgMDMT06dOv+Fhbvk56+jskMTERKSkpWLhwoWGbpNeOJFNPOnHu3Dlx5MgR8fLLLwtPT09x5MgRceTIEVFXVyeEEEKr1YqhQ4eKG264QWRkZIjNmzeLgIAAsXTpUsPPKCoqEgMGDBDp6emGbU888YSIiIgQ27ZtEwcPHhSJiYkiMTHR7O/PmLZu3SoAiNOnT3f6+oABA8RPP/0khBCirq5O/OUvfxFpaWkiLy9PbN26VYwYMUL069dPNDc3m7Nsk9i7d69YsWKFyMjIEDk5OeKbb74RAQEBYtasWR32u/AzEUKIf/7zn8LHx0f88ssv4tixY+LWW28VkZGRoqmpydxvweiKiopETEyMmDJliigqKhKlpaWGx4Vs/TpZu3atkMvl4vPVa8Tg/9sk+jz3q/DrN8KwksDTTz/dYRZwbm6ucHd3F88884w4ffq0+PDDD4Wjo6PYvHmzlG/DaObNmycUCoVITU3tcE00NjYa9lmyZIl48MEHDc9XrFghfv75Z3H27Flx/Phx8dRTTwkHBwexdetWKd6CSSxevFikpqaKvLw8sWfPHpGUlCT8/f1FRUWFEOLiz8TWr5N2Op1OREREiOeee+6i1+zhOqmrqzPkEADi7bffFkeOHBHnzp0TQnTvd8iDDz4olixZYni+Z88e4eTkJN58801x+vRpsWzZMuHs7CyOHz9u9vcnhBAWEwBnz54tAFz02L59u2Gf/Px8MW3aNOHm5ib8/f3F4sWLRUtLi+H1vLy8i45pamoSTz75pOjVq5dwd3cXt91220W/CK3NvffeK8aOHdvl6wDE6tWrhRBCNDY2ihtuuEEEBAQIZ2dn0adPHzF37twOy+lYs0OHDomEhAShUCiEq6urGDRokPjHP/5xUWi58DMRonUa/wsvvCCCgoKEXC4XU6ZMEVlZWWau3jRWr17d6d+lP/57zx6uk/fff19ExE0QfZ77VfRd9G+x94Lln+69994OAVCI1uUs4uLihIuLi4iKiupwzVi7rq6JC9/j7NmzxcSJEw3PX3vtNREdHS1cXV2Fr6+vmDRpkti2bZv5izehe+65R4SEhAgXFxfRu3dvcc8994js7GzD63/8TISw7euk3W+//SYAdPq9aA/XSfvSNn98zJ49WwjRvd8hEydONOzfbt26daJ///7CxcVFDBkyRGzcuNFM7+hiMiGEMENDIxGRJD5OzcFrmzNx/eAgfDbr9wXTVSoVFAoFlEplh8VriYjsgdWsA0hE1BPtE0DGRvP+v0RE7RgAichmqbU6HMivAdD1/X+JiOwRAyAR2ayMglo0t+jh7+mC/kGeUpdDRGQxGACJyGa1L/+SGO1/2dtYERHZEwZAIrJZHP9HRNQ5BkAiskmNGi2OFNQCAMZx/B8RUQcMgERkkw7kn4dWL9Dbxw3hvrZ1iy4ioqvFAEhENmlv9u/dvxz/R0TUEQMgEdmk9gkg42LY/UtE9EcMgERkc5SNLThRogQAJHICCBHRRRgAicjmpOVWQwggOsADQd6uUpdDRGRxGACJyOaktS3/8sfu38rKSgQHB+Mf//iHYVt6ejpcXFyQkpJi1hqJiKTkJHUBRETG1j7+74/r/wUEBOCLL77AjBkzMHbsWADAY489hgULFmDKlClmr5OISCpsASQim1KhasbZinrIZMA1UReP/7vxxhsxd+5cPProowAAd3d3LF++3NxlEhFJigGQiGxKWm5r69+QUG/4uLt0us+bb74JnU4HAFi1ahXkcrnZ6iMisgQMgERkU/Zmt3f/dr38S05ODkpLSwEABQUFZqmLiMiSMAASkU3Z0zYBpKvlXzQaDR544AHcfvvtAIAFCxagoqLCbPUREVkCBkAishmFNY0oOt8EJwcZxvT17XSfv/71r1AqlXj99dcBADExMXj44YfNWSYRkeQYAInIZuxta/2LC/eBh/ziRQ5SU1Pxzjvv4Ouvv4a3tzcA4NNPP8WuXbvw8ccfm7VWIiIpcRkYIrIZe9rH/3Vx+7dJkyahpaUFAKBSqQAAffr0gVKpNE+BREQWgi2ARGQThBBdrv9HREQdMQASkU3IrqhHVb0ars4OiI/wkbocIiKLxgBIRDZhT3br+L/RfX0hd3KUuBoiIsvGAEhENqG9+7er5V+IiOh3DIBEZPV0eoF9uZdfAJqIiFoxABKR1TtVooKqWQsvVycMDfWWuhwiIovHAEhEVm932/i/hEhfODnya42I6HL4TUlEVm93diUAYEK/AIkrISKyDgyARCSpmpoa3H///fD29oaPjw8eeeQR1NfXX/KYOXPmQCaTQSaTwcHZFbszywAAE/px/B8RUXcwABKRpO6//36cPHkSW7Zswa+//oqdO3fiscceu+xxU6dORWlpKX7cdRQyJ2eEeMsR6e9hhoqJiKwfAyARSeb06dPYvHkzVq1ahYSEBIwfPx7vv/8+1q5di5KSkkseK5fLERwcjBNVOgDApIGBkMlk5iibiMjqMQASkWTS0tLg4+ODUaNGGbYlJSXBwcEB6enplzw2NTUVgYGB+GLTXgBAbLCrSWslIrIlDIBEJJmysjIEBgZ22Obk5ARfX1+UlZV1edzUqVPx1VdfYd1/foPwDgGEHm/+5VHodLouj1Gr1VCpVB0eRET2igGQiIxuyZIlhkkaXT0yMzN7/PNnzpyJW265BZWOrZM+Bga641DaLqSmpnZ5zPLly6FQKAyP8PDwHp+fiMjaOUldABHZnsWLF2POnDmX3CcqKgrBwcGoqKjosF2r1aKmpgbBwcGXPc+us63r/10/LAyH/P2RnZ2NKVOmdLrv0qVLsWjRIsNzlUrFEEhEdosBkIiMLiAgAAEBl1+TLzExEbW1tTh06BBGjhwJANi2bRv0ej0SEhIueaxeLwwLQA/0EaiurkZISEiX+8vlcsjl8it4F0REtotdwEQkmUGDBmHq1KmYO3cu9u/fjz179mDBggWYOXMmQkNDDfsNHDgQ69evBwDU19fjmWeewff/24OaBg3kjsALTz6ImJgYJCcnS/VWiIisCgMgEUnq22+/xcCBAzFlyhTceOONGD9+PD799NMO+2RlZUGpVAIAHB0dcezYMSx+cxUAQH3uGEaNiMeuXbvYwkdE1E0yIYSQuggioit132f7sDenGn+7dQhmJfa94uNVKhUUCgWUSiW8vb2NXyARkQVjCyARWZ1GjRYH888D4P1/iYh6ggGQiKxOel4NNDo9wnq5oa+fu9TlEBFZHQZAIrI6u860zv6d0C+At38jIuoBBkAisjq7zlYCAK7t5y9xJURE1okBkIisSqmyCWcr6uEgA8ZGMwASEfUEAyARWZX2u3/EhvtA4e4scTVERNaJAZCIrEp7AOTsXyKinmMAJCKrodcL7G4b/zeB4/+IiHqMAZCIrMbJEhXON7bAU+6EuHAfqcshIrJaDIBEZDV2trX+JUb7wdmRX19ERD3Fb1Aishpc/oWIyDgYAInIKjSotTh0jrd/IyIyBgZAIrIK6XnVaNEJhPu6oQ9v/0ZEdFUYAInIKuzk7d+IiIyGAZCIrMLu7NYAyPF/RERXjwGQiCxeSW0Tsttu/5bI278REV01BkAisni72+7+ERfuA4Ubb/9GRHS1GACJyOLtNNz9g7N/iYiMgQGQiCyaTi9+H//Xn92/RETGwABIRBbtZIkStY0t8JI7ITbMR+pyiIhsAgMgEVm0XW3j/8bG+MGJt38jIjIKfpsSkUXbeaZ1/N94jv8jIjIaBkAislj1ai0OF7Te/o3r/xERGQ8DIBFZrPTc1tu/Rfi6o4+fh9TlEBHZDAZAIrJY27MqAAAT2PpHRGRUDIBEZJGEEEg53RoAkwYFSVwNEZFtYQAkIot0skSFUmUz3JwdkRjtJ3U5REQ2hQGQiCxSe+vf+H7+cHV2lLgaIiLbwgBIRBYpJbMcAHA9u3+JiIyOAZCILE65qhnHipSQyYDJAwOlLoeIyOYwABKRxWnv/o0N80GAl1ziaoiIbA8DIBFZnJTTrd2/SYPY+kdEZAoMgERkUZo0OuzObr3/b9Jgjv8jIjIFBkAisih7squg1urR28cNA4K8pC6HiMgmMQASkUXZekH3r0wmk7gaIiLbxABIRBZDrxdIyWydADKFy78QEZkMAyARWYzjxUpU1qnh4eKIhChfqcshIrJZDIBEZDHaZ/9OHBAAuRPv/kFEZCoMgERkMba0rf83ZSC7f4mITIkBkIgsQnFtE06XquDAu38QEZkcAyARWYRtbd2/IyJ6wdfDReJqiIhsGwMgEVmErW3dv1z8mYjI9BgAiUhy9Wot0nKqAfD2b0RE5sAASESS2322EhqdHn383BEd4Cl1OURENo8BkIgk9eqrr+LpN1cDALK2/9itu38IIfDiiy8iJCQEbm5uSEpKwtmzZ01dKhGRzWAAJCJJNas1QMgQAIA2/3C3jnn99dfx3nvvYeXKlUhPT4eHhweSk5PR3NxsylKJiGwGAyARSWrGI0+hSThB7qCHtizrsvsLIfDOO+/g//7v/3Drrbdi+PDh+Oqrr1BSUoKff/7Z9AUTEdkABkAiklT77N9+HhpAr7vs/nl5eSgrK0NSUpJhm0KhQEJCAtLS0ro8Tq1WQ6VSdXgQEdkrBkAiklT77d/6e2q6tX9ZWRkAICio43IxQUFBhtc6s3z5cigUCsMjPDy8hxUTEVk/BkAiMrolS5ZAJpNd8pGZmYmC6kacKa+Ho4MM/boZAHtq6dKlUCqVhkdhYaFJz0dEZMmcpC6AiGzP4sWLMWfOnEvuExUVhW/2FwMARvftBTfHim797ODgYABAeXk5QkJCDNvLy8sRFxfX5XFyuRxyubxb5yAisnUMgERkdAEBAQgICLjsfimZrd2/SYOCgJzLTwABgMjISAQHByMlJcUQ+FQqFdLT0zFv3rwe10xEZE/YBUxEklA1tyA9twYAEIoaFBQUQKfTISMjAxkZGaivrzfsO3DgQKxfvx4AIJPJsHDhQrzyyivYsGEDjh8/jlmzZiE0NBQzZsyQ4q0QEVkdtgASkSR2nqmEVi/gplVh+rU3GbbHx8cDALZv345JkyYBALKysqBUKg37PPvss2hoaMBjjz2G2tpajB8/Hps3b4arq6tZ3wMRkbWSCSGE1EUQkf1ZuPYIfs4owWPXRuH5GweZ/fwqlQoKhQJKpRLe3t5mPz8RkZTYBUxEZqfV6bE9qxJA2/g/IiIyKwZAIjK7vTnVUDa1wNfDBSMifKQuh4jI7jAAEpHZ/edoCQBg2tBgODnya4iIyNz4zUtEZqXW6rD5ZOsdO26ODZW4GiIi+8QASERmtfNMFeqatQjylmNMX1+pyyEisksMgERkVhvaun9vGh4KBweZxNUQEdknBkAiMptGjRZbT7Xe/YPdv0RE0mEAJCKzSTldgaYWHSJ83REbppC6HCIiu8UASERm0z779+bYEMhk7P4lIpIKAyARmYWyqQWpbYs/s/uXiEhaDIBEZBb/O1kGjU6PfoGeGBDkJXU5RER2jQGQiMziP8dKAbS2/rH7l4hIWgyARGRy1fVq7MmuAsDuXyIiS8AASEQmt+lEGXR6gWG9FYj095C6HCIiu8cASEQmd+HsXyIikh4DIBGZVKmyCQfyawAA04ez+5eIyBIwABKRSW08VgohgNF9e6G3j5vU5RARERgAicjELpz9S0REloEBkIhM5lx1A44W1sJBBkwbyvF/RESWggGQiEzm17bWv7HR/gjwkktcDRERtWMAJCKT4exfIiLLxABIRCZxprwOmWV1cHaUYeoQBkAiIkvCAEhEJtHe+jexfwAU7s4SV0NERBdiACQioxNCXND9y9m/RESWhgGQiIwuo7AW+dWNcHV2QNKgIKnLISKiP2AAJCKjW3ewEEDr0i8ecieJqyEioj9iACQio2pQa7Eho7X79+5R4RJXQ0REnWEAJCKj2ni8FA0aHfr6ueOaKF+pyyEiok4wABKRUa070Nr9e9eocMhkMomrISKizjAAEpHRZFfU4eC583B0kOHOkWFSl0NERF1gACQio1l3sAgAMHlAAIK8XSWuhoiIusIASERGodHq8eOh1gB4z+gIiashIqJLYQAkIqPYllmO6gYNArzkmDwgQOpyiIjoEhgAicgo1rZN/rhzZBicHPnVQkRkyfgtTURXraS2CTvPVALg2n9ERNaAAZCIrtq36eegF8A1Ub6I9PeQuhwiIroMBkAiuirNLTp8l14AAJgztq+0xRARUbfwJp10RfR6gTJVM/KrG3C+oQUeckd4yp3g6eoEDxcneLk6wUPuBGeOAbMbGzJKcL6xBb193JA0KEjqcoiIqBsYAKlTNQ0anC5VIb+6AeeqG5FX1YBzbf+v1uove7zcyQGe8tYwGB3ggQn9AnBtf39EB3jy7hA2RAiB1XvzAQCzEvtw8gcRkZVgACQArb/IT5fWYVtmOVIyK5BRWAshOt/XyUGGCF93+Hm6oFGjQ71aiwa1FnXNWkM4VGv1UGs1qG7QoKCmEduzWicIhChcMaGfP67tH4Bx0f7o5eFirrdIJrA/rwanS1VwdXbAPaM5+YOIyFowANqx5hYd9uZUIeV0BbZlVqBU2dzh9Uh/D0T6e6Cvnwf6+rujj58HIv08EOrj2mVLT4tOjwa1FvVtD1WTFhmF57HrbBXS82pQqmzGuoNFWHewCDIZMLy3AhP6BSBpcBDiwn3M8K7JmNa0tf7dFh8GH3eGeSIiayEToqt2HrJFzS06/PdEKX49Woo9OVVobvm9O9fV2QHjY/xx3cAgXDcwEMEK497Kq7lFh/15Ndh1thK7zlYhs6yuw+vXRPniqSn9kRjtZ9TzkmkU1zZhwmvboBfAbwuvxYBgL6lLuiIqlQoKhQJKpRLe3t5Sl0NEZFZsAbQTRecb8W16Ab4/UIiaBo1he6jCFdcNCsSUgUFIjPaDq7OjyWpwdXbEtf0DcG3/1rtElKuasetsFXacqcTmE6XYl1uDfbn7MCbSFwun9ENitB/HC1qwr9Nal34ZG+1ndeGPiMjesQXQhun1Aruzq/BV2jlsyyyHvu1POkThintGhyN5SDAGBntZRMgqqW3Cx6k5+P5AITS61lbJ0X174akp/TEuhkHQ0jRpdEj8ZwpqG1vw6YMjccOQ4B7/rFdffRUbN25ERkYGXFxcUFtbe9lj5syZgy+//LLDtuTkZGzevLnb52ULIBHZM7YA2iBlUwt+PFSEr/edQ15Vg2H7uBg/PHhNXyQNCrS42ZqhPm74+4yheHJyNFam5uBfBwpxIP88Hvg8HSP79MJTU/phQj9/BkEL8UtGMWobWxDWyw1TrnLpF41Gg7vuuguJiYn4/PPPu33c1KlTsXr1asNzuVx+VXUQEdkTBkAbUlDdiE925uCnw8VoatEBADzlTrhzZBgeuKYPYgI9Ja7w8kIUbnj51qGYNykGK3fk4Lv9BTh07jxmfbEf8RE+eGpKP0zsH8AgKCG9XuDz3XkAgNmJfeHocHV/Fi+//DIAYM2aNVd0nFwuR3Bwz1seiYjsGQOgDciuqMdH27Pxy9ES6Nr6efsHeeLBxL64Lb43POXW98ccrHDFS7cMwZOTorFyRy6+TT+HIwW1mLP6AKYOCcartw2FnydbfKSw+WQZzlbUw8vVCXdLuPRLamoqAgMD0atXL1x33XV45ZVX4OfHCURERN1hfcmADE6XqvDB9mxsOl5qWLNv0oAAPH5tNK6J8rWJVrJAb1e8ePNgPDEpCp/syMWXe/Ox+WQZDp6rwT9uG3ZVY8/oyun1Au+lnAUAPDS2LxRuzpLUMXXqVNx+++2IjIxETk4Onn/+eUybNg1paWlwdOx8IpNarYZarTY8V6lU5iqXiMjiMABaoWNFtXh/Wza2nCo3bLthcBAWXBeD4WE+0hVmQoFernjhpsG4Lb43Fq87iqzyOjz29SHcMSIMy24ZDG9XaYKIvdl6uhyZZXXwcHHEw+Mju9xvyZIleO211y75s06fPo2BAwf2qI6ZM2ca/n/YsGEYPnw4oqOjkZqaiilTpnR6zPLlyw3dzURE9o6zgK3IoXM1eC8lGzvOtN5VQyYDpg8LwfzJMRgUYj+zGNVaHd7ecgaf7syFEK1L2bxxVyzGxfhLXZpNE0Lglg/24HixEvMmReO5qV2Ht8rKSlRXV1/y50VFRcHF5ffFo9esWYOFCxd2axZwZwICAvDKK6/g8ccf7/T1zloAw8PDOQuYiOwSWwCtwKFzNXhn61nsOlsFAHB0kOHWuFA8OSnGKiZ2GJvcyRFLpw3C9YOCsPiHozhX3Yj7V6VjdmIfLJk2CG4uplvL0J6lZlXieLESbs6OePQSrX9AaxgLCAgwU2VAUVERqqurERIS0uU+crmcM4WJiNpY1log1MGhczV48PN03PFxGnadrYKTgwwzR4dj++JJePvuOLsMfxca1dcXm/48AQ9cEwEA+DLtHG58bxcOF5yXuDLbI4TAu21j/x64JsKoE3AKCgqQkZGBgoIC6HQ6ZGRkICMjA/X19YZ9Bg4ciPXr1wMA6uvr8cwzz2Dfvn3Iz89HSkoKbr31VsTExCA5OdlodRER2TK2AFqgP7b4OTnIcNeoMDw5KQbhvu4SV2dZPOROeGXGMNwwOBjP/vsY8qoacOfHe/HUlP7403UxcLjKJUqo1e7sKmQU1kLu5IC510YZ9We/+OKLHRZ1jo+PBwBs374dkyZNAgBkZWVBqVQCABwdHXHs2DF8+eWXqK2tRWhoKG644Qb8/e9/ZwsfEVE3cQygBTmYX4N3UzoGvztHhmH+ZAa/7lA2tuCl/5zE+iPFAIDrBwfh7btj4cUJIlft7pVp2J9fgzlj++KlW4ZIXY5R8E4gRGTPGAAlJoTAjjOV+Gh7Dvbn1wBg8Lta6w4U4v9+PgGNTo+oAA98+uAou+8uvxr7cqsx89N9cHF0wM5nJyNY4Sp1SUbBAEhE9oxdwBLR6QU2nyjDR6nZOFnSuh6Zs6MMd4xo7eqN8GPw66m7R4ejf7AX5n1zCLmVDZjx4R68dXcskrlm4BUTQuDN37IAAHePDrOZ8EdEZO/YAmhmGq0ePx8pxsodOchtu0+vm7Mj7kuIwKMTIhGicJO4QttRVa/Gk98exv681pbVP18Xg4VJ/Tku8Ar8klGMp9ZmwM3ZEdv+MtGmrk+2ABKRPWMANJOqejXW7i/At+kFKFU2AwAUbs6YM7Yv5ozti14eLpf5CdQTLTo9/rHpNFbvyQcAXDcwECvuiZPsDhbWpFGjxXVv7kCZqhmLr++PP03pJ3VJRsUASET2jAHQhIQQOFJYi6/TzmHjsVJodHoAQKCXHHMnROHehAirvE+vNfrpcBGW/nQcaq0ekf4eWDV7FKIDOC7wUt78LQsfbM9GWC83bF00Ea7OtrW+IgMgEdkzBkATaG7R4T9HS/BV2jkcL1YatseF+2D22D64cVgI5E629cvUGpwoVuLxrw+huLYJ3q5OWPnASIzl3UM6VVDdiKQVO6DR6rHygRGYOrTrBZatFQMgEdkzBkAjadHpsTu7Cr8eLcX/TpWhrlkLAHBxcsAtsaGYldjHZu/Ta02q6tV47KuDOFxQCycHGV6ZMRQzx0RIXZbFefzrg/jtZDnGRvvh20cTIJPZ3rhJBkAismcMgFdBpxfYl1uNX4+V4L8nylDb2GJ4rbePGx64pg/uGR0OX47vsyjNLTo89+Mx/JJRAgCYOyESS6YNgiMnhwAA9mRX4f5V6XB0kGHTnydgQLCX1CWZBAMgEdkzDkC7QucbNMgoqsX2zApsOl6KqnqN4TV/TxfcOCwENw0Pxag+vTjb1EK5OjvinXviEOXviRVbz+CzXXnIq2rEuzPj4GHnYzK1Oj1e/s9JAMADCRE2G/6IiOydVbQAVterkZpViZhAT0QHeppt4oRWp0dmWR2OFNbiSMF5ZBTUGpZuaefj7oxpQ4Nx0/BQJET6wsmRt1e2JhuOluAvPxyFRqvHoBBvfD57FEJ9bGepkyu1Zk8eXvrPKfRyd8b2v0yCj7vttl6zBZCI7JlVNHccLarF4h+OGp6HKFxbw2BAayCMCfBETKAn/D1dejRWSavTo7apBTUNGuRWNuBI4XkcKajFsaJaNLfoL9o/yt8Do/r2wo3DQjAuxh/ODH1W65bYUIT1csNjXx3E6VIVbv1wDz59cCTiI3pJXZrZ1TRo8PaWMwCARTcMsOnwR0Rk76yiBXD32Sp8sP0ssisaUFWv7nI/b1cn+Hq4wM3FCe4ujhc8nODm4gg3Z0fUN2tR3aDB+UYNzjdoUN2ggbKppcuf6eXqhLhwH8RH9EJ8hA/iwny4Zp8NKjrfiEe/PIjMsjq4ODngjTuH49a43lKXZTZCCCz47gg2Hi/FwGAvbPzzBJsfE8kWQCKyZ1YRAC+kbGxBdmUdsivqkVPZgOyKemRX1KPwfCOu9p34uDsjROHWFvh8MCLCB1H+nhzLZyfq1Vo89a8jSMmsAGBfdw756XARFq07CkcHGX6aNxax4T5Sl2RyDIBEZM+sLgB2pblFh3PVjahrbkGjRodGjRaNGh0aNDo0tf1/U4sOXnIn9PJwgZ+HC3q5u8DXwwW9PFzg4+bM8XsEnV7g9c2Z+GRnLgDgxmHBeOuuOLi52O66jYU1jbjx3V2oU2tt8o4fXWEAJCJ7ZjMBkMiY1h0sxF/XH0eLTmBYbwU+mzUKwQpXqcsyOp1e4N5P92F/fg1GRPhg3eOJdvMPIQZAIrJn9vFNT3SF7h4Vjm8fvQa+Hi44XqzELR/sxrGiWqnLMrpPd+Zif34NPFwcseKeOLsJf0RE9o7f9kRdGBPpi1/mj0P/IE9U1Klx18o0/HqsROqyjCY9txpvb8kCACy7eQj6+HlIXBEREZkLAyDRJYT7uuPHeWMxeUAA1Fo9Fnx3BK9uPAWN9uLlgaxJflUDHv/mEFp0AtOHh+CuUWFSl0RERGbEAEh0GV6uzlg1ezTmTogEAHy2Kw93f5KGwppGiSvrGWVjCx5ecwC1jS2IDVPgzTtjbfJev0RE1DUGQKJucHSQ4a/TB+OTB0fC29UJGYW1mP7eLmw+USZ1aVekRafHvG8PIbeqAaEKV3w2a5RNz3AmIqLOMQASXYHkIcHY+OcJiAv3gapZiye+OYSXNpyEWquTurTLEkLgxV9OYG9ONTxcHLFq9mgEetvezGYiIro8BkCiKxTu644fnkjEY9dGAQDW7M3HHR/vRf4f7hNtSYQQeP23LPxrfyEcZMB798ZjcCiXPiEislcMgEQ94OzogOdvHIQv5oxCL3dnnChW4ab3d1vkLGGtTo8lPx7Hx6k5AIAXbxqMKYOCJK6KiIikxIWgia5SqbIJf/7XERzIPw8AuHdMOJ6bOhA+7tLfM7q5RYc//esItpwqh4MM+MdtwzBzTITUZVkELgRNRPaMAZDICLQ6PVZsPYOPUnMgBKBwc8bCpH544Jo+cJZocWVlUwvmfnkQ+/Nr4OLkgPfvjUfykGBJarFEDIBEZM8YAImMKC2nGi//5yQyy+oAAFEBHvi/6YMweUCgWZdaOVWiwtPfZyCrvA5erk5YNWsUEqL8zHZ+a8AASET2jAGQyMh0eoHvDxTirf9lobpBAwCY0M8fL9w0GP2DvEx67uYWHd5NOYtPd+ZCpxcI8JLjy4fGcMJHJxgAicieMQASmYiquQUfbs/G6t350Oj0cJAB9yVEYGFSf/h7yo1+vr3ZVXh+/XHkV7cuUH3jsGC8dPMQLvXSBQZAIrJnDIBEJnauugHLN2Vi88nWRaMdHWQYG+2Hm4aH4IbBwejl0fPJIkIIZBTWYvWefGw42joDOdjbFX+7dQhu4Hi/S2IAJCJ7xgBIZCZpOdX45+ZMHC2sNWxrD4PTh4UgeUj3wqAQAkXnm7A7uwrfpp/DiWKV4bUHr+mDZ6cOgJersynegk1hACQie8YASGRmuZX1+O+JMvx6rBSnS38Pb44OMoyI8IGvhws8XJzgLnds/a+LEzzkjmhu0SGjUImMwlpU1asNx7k4OeCm4SF4aGwkhoUppHhLVokBkIjsGQMgkYTyqhqw6XgpNh4rxakLwuDlODnIMCjEGzcND8Fdo8LhexXdyPaKAZCI7BkDIJGFyKtqwNHCWtSrtWjUaNGg1rX+V6NDo1oLmUyGIaHeiI/wwZBQBVydHaUu2aoxABKRPXOSugAiahXp74FIfw+pyyAiIjvAewETERER2RkGQCIiIiI7wwBIREREZGcYAImIiIjsDAMgERERkZ1hACQiIiKyMwyARERERHaGAZCIiIjIzjAAEhEREdkZBkAikkx+fj4eeeQRREZGws3NDdHR0Vi2bBk0Gs0ljxNC4MUXX0RISAjc3NyQlJSEs2fPmqlqIiLrxwBIRJLJzMyEXq/HJ598gpMnT2LFihVYuXIlnn/++Use9/rrr+O9997DypUrkZ6eDg8PDyQnJ6O5udlMlRMRWTeZEEJIXQQRUbs33ngDH3/8MXJzczt9XQiB0NBQLF68GH/5y18AAEqlEkFBQVizZg1mzpzZrfOoVCooFAoolUp4e3sbrX4iImvAFkAisihKpRK+vr5dvp6Xl4eysjIkJSUZtikUCiQkJCAtLc0cJRIRWT0nqQsgImqXnZ2N999/H2+++WaX+5SVlQEAgoKCOmwPCgoyvNYZtVoNtVpteK5Sqa6yWiIi68UWQCIyuiVLlkAmk13ykZmZ2eGY4uJiTJ06FXfddRfmzp1r9JqWL18OhUJheISHhxv9HERE1oJjAInI6CorK1FdXX3JfaKiouDi4gIAKCkpwaRJk3DNNddgzZo1cHDo+t+mubm5iI6OxpEjRxAXF2fYPnHiRMTFxeHdd9/t9LjOWgDDw8M5BpCI7BK7gInI6AICAhAQENCtfYuLizF58mSMHDkSq1evvmT4A4DIyEgEBwcjJSXFEABVKhXS09Mxb968Lo+Ty+WQy+Xdfg9ERLaMXcBEJJni4mJMmjQJERERePPNN1FZWYmysrKLxvINHDgQ69evBwDIZDIsXLgQr7zyCjZs2IDjx49j1qxZCA0NxYwZMyR4F0RE1octgEQkmS1btiA7OxvZ2dkICwvr8NqFo1OysrKgVCoNz5999lk0NDTgscceQ21tLcaPH4/NmzfD1dXVbLUTEVkzjgEkIrskhEBdXR28vLwgk8mkLoeIyKwYAImIiIjsDMcAEhEREdkZBkAiIiIiO8MASERERGRnGACJiIiI7AwDIBEREZGdYQAkIiIisjMMgERERER2hgGQiIiIyM4wABIRERHZGQZAIiIiIjvDAEhERERkZxgAiYiIiOwMAyARERGRnWEAJCIiIrIzDIBEREREdoYBkIiIiMjOMAASERER2Zn/B4Qm4HK+4wLYAAAAAElFTkSuQmCC"
          },
          "metadata": {}
        },
        {
          "execution_count": 284,
          "output_type": "execute_result",
          "data": {
            "text/plain": "<sympy.plotting.plot.Plot at 0x633d228>"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": "1 + 8 / 2\n",
      "metadata": {
        "trusted": true
      },
      "execution_count": 285,
      "outputs": [
        {
          "execution_count": 285,
          "output_type": "execute_result",
          "data": {
            "text/plain": "5.0"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": "# spočítáme obsah lichoběžníku\na = 3.5\nb = 2.1\nv = 77e-1\nS = (a + b) * v / 2\nprint(\"Obsah lichoběžníku a=%g, b=%g, v=%g je: %g\" % (a, b, v, S))",
      "metadata": {
        "trusted": true
      },
      "execution_count": 286,
      "outputs": [
        {
          "name": "stdout",
          "text": "Obsah lichoběžníku a=3.5, b=2.1, v=7.7 je: 21.56\n",
          "output_type": "stream"
        }
      ]
    },
    {
      "cell_type": "code",
      "source": "import sympy",
      "metadata": {
        "trusted": true
      },
      "execution_count": 287,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": "x = sympy.Symbol('x')\nx",
      "metadata": {
        "trusted": true
      },
      "execution_count": 288,
      "outputs": [
        {
          "execution_count": 288,
          "output_type": "execute_result",
          "data": {
            "text/plain": "x",
            "text/latex": "$\\displaystyle x$"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": "(sympy.pi + x) / 2",
      "metadata": {
        "trusted": true
      },
      "execution_count": 289,
      "outputs": [
        {
          "execution_count": 289,
          "output_type": "execute_result",
          "data": {
            "text/plain": "x/2 + pi/2",
            "text/latex": "$\\displaystyle \\frac{x}{2} + \\frac{\\pi}{2}$"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": "r1 = sympy.Rational(4,5)\nr2 = sympy.Rational(5,4)\nr1, r2",
      "metadata": {
        "trusted": true
      },
      "execution_count": 290,
      "outputs": [
        {
          "execution_count": 290,
          "output_type": "execute_result",
          "data": {
            "text/plain": "(4/5, 5/4)"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": "y = (x + sympy.pi)**2\nsympy.N(y.subs(x, 3), 5)\n",
      "metadata": {
        "trusted": true
      },
      "execution_count": 291,
      "outputs": [
        {
          "execution_count": 291,
          "output_type": "execute_result",
          "data": {
            "text/plain": "37.719",
            "text/latex": "$\\displaystyle 37.719$"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": "y = (x+1)*(x+2)*(x+3)\ny",
      "metadata": {
        "trusted": true
      },
      "execution_count": 292,
      "outputs": [
        {
          "execution_count": 292,
          "output_type": "execute_result",
          "data": {
            "text/plain": "(x + 1)*(x + 2)*(x + 3)",
            "text/latex": "$\\displaystyle \\left(x + 1\\right) \\left(x + 2\\right) \\left(x + 3\\right)$"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": "# rozvoj polynomu = roznasobeni zavorek\nz = sympy.expand(y)\nz",
      "metadata": {
        "trusted": true
      },
      "execution_count": 293,
      "outputs": [
        {
          "execution_count": 293,
          "output_type": "execute_result",
          "data": {
            "text/plain": "x**3 + 6*x**2 + 11*x + 6",
            "text/latex": "$\\displaystyle x^{3} + 6 x^{2} + 11 x + 6$"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": "y = 2*x**3 + 4*x**2 - 2*x - 4\ny",
      "metadata": {
        "trusted": true
      },
      "execution_count": 294,
      "outputs": [
        {
          "execution_count": 294,
          "output_type": "execute_result",
          "data": {
            "text/plain": "2*x**3 + 4*x**2 - 2*x - 4",
            "text/latex": "$\\displaystyle 2 x^{3} + 4 x^{2} - 2 x - 4$"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": "# derivace funkce y\na = sympy.diff(y, x)\na",
      "metadata": {
        "trusted": true
      },
      "execution_count": 295,
      "outputs": [
        {
          "execution_count": 295,
          "output_type": "execute_result",
          "data": {
            "text/plain": "6*x**2 + 8*x - 2",
            "text/latex": "$\\displaystyle 6 x^{2} + 8 x - 2$"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": "# integrace funkce y\nsympy.integrate(a, x)\n",
      "metadata": {
        "trusted": true
      },
      "execution_count": 296,
      "outputs": [
        {
          "execution_count": 296,
          "output_type": "execute_result",
          "data": {
            "text/plain": "2*x**3 + 4*x**2 - 2*x",
            "text/latex": "$\\displaystyle 2 x^{3} + 4 x^{2} - 2 x$"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": "#y = 2*x**3 + 4*x**2 - 2*x - 4\nm = sympy.Symbol('m')\ng = sympy.Symbol('g')\nx = sympy.Symbol('x')\nT=m*g*x\nprint(\"Ep=\")\nT",
      "metadata": {
        "trusted": true
      },
      "execution_count": 297,
      "outputs": [
        {
          "name": "stdout",
          "text": "Ep=\n",
          "output_type": "stream"
        },
        {
          "execution_count": 297,
          "output_type": "execute_result",
          "data": {
            "text/plain": "g*m*x",
            "text/latex": "$\\displaystyle g m x$"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": "sympy.diff(T, x)",
      "metadata": {
        "trusted": true
      },
      "execution_count": 298,
      "outputs": [
        {
          "execution_count": 298,
          "output_type": "execute_result",
          "data": {
            "text/plain": "g*m",
            "text/latex": "$\\displaystyle g m$"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": "#y = 2*x**3 + 4*x**2 - 2*x - 4\nm = sympy.Symbol('m')\nv = sympy.Symbol('v')\nU=sympy.Rational(1,2)*m*v**2\nprint(\"Ek=\")\nU",
      "metadata": {
        "trusted": true
      },
      "execution_count": 299,
      "outputs": [
        {
          "name": "stdout",
          "text": "Ek=\n",
          "output_type": "stream"
        },
        {
          "execution_count": 299,
          "output_type": "execute_result",
          "data": {
            "text/plain": "m*v**2/2",
            "text/latex": "$\\displaystyle \\frac{m v^{2}}{2}$"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": "Ud = sympy.diff(U, m)\nUd",
      "metadata": {
        "trusted": true
      },
      "execution_count": 300,
      "outputs": [
        {
          "execution_count": 300,
          "output_type": "execute_result",
          "data": {
            "text/plain": "v**2/2",
            "text/latex": "$\\displaystyle \\frac{v^{2}}{2}$"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": "Ud_res=sympy.N(Ud.subs([(m, 2), (v, 5)]),  5)\nUd_res",
      "metadata": {
        "trusted": true
      },
      "execution_count": 301,
      "outputs": [
        {
          "execution_count": 301,
          "output_type": "execute_result",
          "data": {
            "text/plain": "12.500",
            "text/latex": "$\\displaystyle 12.5$"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": "y = (2*x + x**2)**2\ny",
      "metadata": {
        "trusted": true
      },
      "execution_count": 302,
      "outputs": [
        {
          "execution_count": 302,
          "output_type": "execute_result",
          "data": {
            "text/plain": "(x**2 + 2*x)**2",
            "text/latex": "$\\displaystyle \\left(x^{2} + 2 x\\right)^{2}$"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": "sympy.N(y.subs(x, 2), 5)\n",
      "metadata": {
        "trusted": true
      },
      "execution_count": 303,
      "outputs": [
        {
          "execution_count": 303,
          "output_type": "execute_result",
          "data": {
            "text/plain": "64.000",
            "text/latex": "$\\displaystyle 64.0$"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": "sympy.factor(y)\n",
      "metadata": {
        "trusted": true
      },
      "execution_count": 304,
      "outputs": [
        {
          "execution_count": 304,
          "output_type": "execute_result",
          "data": {
            "text/plain": "x**2*(x + 2)**2",
            "text/latex": "$\\displaystyle x^{2} \\left(x + 2\\right)^{2}$"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": "",
      "metadata": {},
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": "",
      "metadata": {},
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": "",
      "metadata": {},
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": "",
      "metadata": {},
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": "",
      "metadata": {},
      "execution_count": null,
      "outputs": []
    }
  ]
}