Stock_market_analysis.ipynb

{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "name": "Stock market analysis.ipynb",
      "provenance": [],
      "authorship_tag": "ABX9TyML3PVD9dSw9CzfpRfpsQnt"
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    }
  },
  "cells": [
    {
      "cell_type": "code",
      "metadata": {
        "id": "LDNbw59E5eI2",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "from scipy.stats import skew,kurtosis,norm,skewtest,kurtosistest\n",
        "from statsmodels.graphics.tsaplots import plot_pacf,plot_acf"
      ],
      "execution_count": 28,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "K_pXq1Wr4s8c",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 372
        },
        "outputId": "ad4f04ac-b5fc-41b1-9ab9-f4f15a6d72c8"
      },
      "source": [
        "!pip install yfinance"
      ],
      "execution_count": 2,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Collecting yfinance\n",
            "  Downloading https://files.pythonhosted.org/packages/c2/31/8b374a12b90def92a4e27d0fc595fc43635f395984e36a075244d98bd265/yfinance-0.1.54.tar.gz\n",
            "Requirement already satisfied: pandas>=0.24 in /usr/local/lib/python3.6/dist-packages (from yfinance) (1.0.5)\n",
            "Requirement already satisfied: numpy>=1.15 in /usr/local/lib/python3.6/dist-packages (from yfinance) (1.18.5)\n",
            "Requirement already satisfied: requests>=2.20 in /usr/local/lib/python3.6/dist-packages (from yfinance) (2.23.0)\n",
            "Requirement already satisfied: multitasking>=0.0.7 in /usr/local/lib/python3.6/dist-packages (from yfinance) (0.0.9)\n",
            "Requirement already satisfied: python-dateutil>=2.6.1 in /usr/local/lib/python3.6/dist-packages (from pandas>=0.24->yfinance) (2.8.1)\n",
            "Requirement already satisfied: pytz>=2017.2 in /usr/local/lib/python3.6/dist-packages (from pandas>=0.24->yfinance) (2018.9)\n",
            "Requirement already satisfied: chardet<4,>=3.0.2 in /usr/local/lib/python3.6/dist-packages (from requests>=2.20->yfinance) (3.0.4)\n",
            "Requirement already satisfied: certifi>=2017.4.17 in /usr/local/lib/python3.6/dist-packages (from requests>=2.20->yfinance) (2020.6.20)\n",
            "Requirement already satisfied: urllib3!=1.25.0,!=1.25.1,<1.26,>=1.21.1 in /usr/local/lib/python3.6/dist-packages (from requests>=2.20->yfinance) (1.24.3)\n",
            "Requirement already satisfied: idna<3,>=2.5 in /usr/local/lib/python3.6/dist-packages (from requests>=2.20->yfinance) (2.10)\n",
            "Requirement already satisfied: six>=1.5 in /usr/local/lib/python3.6/dist-packages (from python-dateutil>=2.6.1->pandas>=0.24->yfinance) (1.15.0)\n",
            "Building wheels for collected packages: yfinance\n",
            "  Building wheel for yfinance (setup.py) ... \u001b[?25l\u001b[?25hdone\n",
            "  Created wheel for yfinance: filename=yfinance-0.1.54-py2.py3-none-any.whl size=22409 sha256=92cea0001d0779a74a3bf0ec20421e6848df6313e7168c74c8c8eae8d194d01c\n",
            "  Stored in directory: /root/.cache/pip/wheels/f9/e3/5b/ec24dd2984b12d61e0abf26289746c2436a0e7844f26f2515c\n",
            "Successfully built yfinance\n",
            "Installing collected packages: yfinance\n",
            "Successfully installed yfinance-0.1.54\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "JMCslJtp4to4",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "import pandas as pd\n",
        "import numpy as np\n",
        "import yfinance\n",
        "import matplotlib.pyplot as plt\n",
        "\n",
        "plt.rcParams['figure.figsize'] = [12, 7]\n",
        "\n",
        "plt.rc('font', size=14) "
      ],
      "execution_count": 3,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "REC5aA474yrE",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "name = 'GOOG'\n",
        "ticker = yfinance.Ticker(name)\n",
        "df = ticker.history(interval=\"1d\",start=\"2015-03-15\",end=\"2020-09-10\")\n",
        "x = df['Close']\n"
      ],
      "execution_count": 4,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "FBncVlf2469_",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 450
        },
        "outputId": "41ca97d5-feaf-47da-d732-b58d814adb1d"
      },
      "source": [
        "plt.plot(x,label=\"Google\")\n",
        "plt.xlabel(\"Time\")\n",
        "plt.ylabel(\"Price ($)\")\n",
        "plt.legend()\n",
        "plt.show()"
      ],
      "execution_count": 6,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
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\n",
            "text/plain": [
              "<Figure size 864x504 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "YZO-21Iu5E-x",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "returns = x.pct_change(1).dropna()"
      ],
      "execution_count": 7,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "kYVWiHFS5WAz",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 230
        },
        "outputId": "e0d0ce9c-3b99-4666-a5a9-fb71792f0609"
      },
      "source": [
        "returns[0:10]"
      ],
      "execution_count": 10,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "Date\n",
              "2015-03-17   -0.006619\n",
              "2015-03-18    0.015728\n",
              "2015-03-19   -0.002706\n",
              "2015-03-20    0.004259\n",
              "2015-03-23   -0.002774\n",
              "2015-03-24    0.020367\n",
              "2015-03-25   -0.019995\n",
              "2015-03-26   -0.006478\n",
              "2015-03-27   -0.012300\n",
              "2015-03-30    0.006730\n",
              "Name: Close, dtype: float64"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 10
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "chwqKoQvcNVy",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 35
        },
        "outputId": "4058ef95-a7a7-4b1a-a132-b57f3035d680"
      },
      "source": [
        "(x[1]-x[0])/x[0]"
      ],
      "execution_count": 12,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "-0.0066185645310041195"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 12
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "V-no7I94cekO",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 432
        },
        "outputId": "f5b9b916-f6f0-475d-9da3-03138fa6ae45"
      },
      "source": [
        "plt.boxplot(returns,labels=[\"Daily close price\"])\n",
        "\n",
        "\n",
        "plt.show()"
      ],
      "execution_count": 17,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 864x504 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "WUdZv1a7fAax",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 177
        },
        "outputId": "a3fbe36e-bb92-48a1-b2b4-fe51d4666f92"
      },
      "source": [
        "returns.describe()"
      ],
      "execution_count": 25,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "count    1382.000000\n",
              "mean        0.000893\n",
              "std         0.017015\n",
              "min        -0.111008\n",
              "25%        -0.006044\n",
              "50%         0.000906\n",
              "75%         0.008677\n",
              "max         0.160524\n",
              "Name: Close, dtype: float64"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 25
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "MX6kIxR95aLu",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 35
        },
        "outputId": "f5af053c-e71f-41fc-b0d3-2ea7ebab11f1"
      },
      "source": [
        "np.mean(returns)"
      ],
      "execution_count": 18,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "0.0008932051169460345"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 18
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "SHlyznYP5bsp",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 35
        },
        "outputId": "04268277-1754-4e07-a359-a5c46e20e125"
      },
      "source": [
        "np.std(returns)"
      ],
      "execution_count": 19,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "0.0170093233684501"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 19
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "tYNEQVc85v6Z",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 35
        },
        "outputId": "9645df21-c870-47bc-a196-6df9327be2ee"
      },
      "source": [
        "np.quantile(returns,0.5)"
      ],
      "execution_count": 20,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "0.0009058328999008713"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 20
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "9Tiv8uPv5cxU",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 35
        },
        "outputId": "8a5e496e-fa13-4739-82f5-61e4916d9205"
      },
      "source": [
        "skew(returns)"
      ],
      "execution_count": 21,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "0.5494403255945719"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 21
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "Ak7cjlvdfqtb",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 35
        },
        "outputId": "e57f5fa2-875e-413c-ceae-a974b292fdbd"
      },
      "source": [
        "skewtest(returns)"
      ],
      "execution_count": 27,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "SkewtestResult(statistic=7.860140744014309, pvalue=3.83702079981769e-15)"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 27
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "WosSabSA5hdD",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 35
        },
        "outputId": "49de4c1b-a840-474f-96dc-8fe5347da120"
      },
      "source": [
        "kurtosis(returns)"
      ],
      "execution_count": 22,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "11.114385899508688"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 22
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "DwijFLGzgtTu",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 35
        },
        "outputId": "73c1109d-5fac-4993-82eb-f784cabfa0be"
      },
      "source": [
        "kurtosistest(returns)"
      ],
      "execution_count": 29,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "KurtosistestResult(statistic=16.36199149673519, pvalue=3.5725128956739287e-60)"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 29
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "9Io82Y-f5m7Z",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 432
        },
        "outputId": "be01809d-871d-41a3-e4c0-a81d8342fec0"
      },
      "source": [
        "plt.hist(returns,bins=\"rice\",label=\"Daily close price\")\n",
        "\n",
        "plt.legend()\n",
        "plt.show()"
      ],
      "execution_count": 24,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 864x504 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "jTIOEyUZ5tbU",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "t = np.linspace(0.01,0.99,1000)\n",
        "\n",
        "q1 = np.quantile(returns,t)\n",
        "\n",
        "q2 = norm.ppf(t,loc=np.mean(returns),scale=np.std(returns))"
      ],
      "execution_count": 30,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "ZJUknE7M6DCw",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 454
        },
        "outputId": "3cbf71e7-30b1-4af6-a7f3-6753f3002723"
      },
      "source": [
        "plt.plot(q1,q2)\n",
        "plt.plot([min(q1),max(q1)],[min(q2),max(q2)])\n",
        "\n",
        "plt.xlim((min(q1),max(q1)))\n",
        "plt.ylim((min(q2),max(q2)))\n",
        "\n",
        "plt.xlabel(\"Daily returns\")\n",
        "plt.ylabel(\"Normal distribution\")\n",
        "plt.show()"
      ],
      "execution_count": 31,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 864x504 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "UrE5pGxR9Ki2",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 450
        },
        "outputId": "74815fab-541d-4a1e-eb1b-9d6066b6c656"
      },
      "source": [
        "plt.plot(returns)\n",
        "plt.xlabel(\"Time\")\n",
        "plt.ylabel(\"Daily returns\")\n",
        "\n",
        "plt.show()"
      ],
      "execution_count": 32,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 864x504 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "KgEsDVPh9PzR",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 450
        },
        "outputId": "d5064215-8899-4d37-ed10-ca4dd8a0d974"
      },
      "source": [
        "plt.plot(returns.rolling(20).std())\n",
        "plt.xlabel(\"Time\")\n",
        "plt.ylabel(\"20-days rolling standard deviation\")\n",
        "plt.show()"
      ],
      "execution_count": 33,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 864x504 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "veDKI4Rc9djq",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 887
        },
        "outputId": "5e575a9f-1c27-487e-a63a-dd7d42c22eb6"
      },
      "source": [
        "plot_pacf(returns,lags=20)"
      ],
      "execution_count": 209,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "image/png": 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hGQAAOkIyAAB0hGQAAOgIyQAA0Bk5JFfVaVV1RVXdUVUXVNVJu2n/3Kq6sKpur6rrq+qDVXW/fS8ZAADm10ghuaqeneQdSd6c5JFJvp7kM1V15Cztfz3JuUnen+T4JM9IclyS/zoHNQMAwLwatSf51UnOaa2d3Vq7tLX2iiQ/TvLSWdqfmORHrbW/aK1d0Vr7ZpJ3JXnMvpcMAADza7chuapWJXl0kvO6Vecleewsm30tyeFV9fQaOCTJ7yb59L4UCwAAC2GUnuRDkkwkuaFbfkOSGccYt9a+kUEo/q9JtifZkqSSvHCm9lV1alVtqqpNW7ZsGbF0AACYH/Myu0VVHZfB8Ir/O4Ne6KdkEKj/cqb2rbWzWmsntNZOOPTQQ+ejJAAAGNnKEdrcmGQyydpu+dok18+yzWuTfKu19tbh/e9W1W1JvlJVr2ut/WivqgUAgAWw257k1tr2JBckOblbdXIGs1zM5IAMgvV0U/fNzQwAwH5tlJ7kJDkjyblV9a0MLsp7SZJ1Sd6TJFX1gSRprb1g2P6TSc6uqpcm+VySw5O8Pcl3WmtXz135AAAw90YKya21j1bVwUlen0HgvSjJU1trVw2bHNm1P6eq7pXk5UneluSnSb6Y5I/nqnAAAJgvo/Ykp7V2ZpIzZ1m3YYZl78rg4j0AAFhUjA8GAICOkAwAAB0hGQAAOkIyAAB0hGQAAOgIyQAA0BGSAQCgIyQDAEBHSAYAgI6QDAAAHSEZAAA6QjIAAHSEZAAA6AjJAADQEZIBAKAjJAMAQEdIBgCAjpAMAAAdIRkAADpCMgAAdIRkAADoCMkAANARkgEAoCMkAwBAR0gGAICOkAwAAB0hGQAAOkIyAAB0hGQAAOgIyQAA0BGSAQCgIyQDAEBHSAYAgI6QDAAAHSEZAAA6QjIAAHSEZAAA6AjJAADQEZIBAKAjJAMAQEdIBgCAjpAMAAAdIRkAADpCMgAAdIRkAADoCMkAANARkgEAoCMkAwBAR0gGAICOkAwAAJ2RQ3JVnVZVV1TVHVV1QVWdtJv2q6rqTcNt7qyqq6vqlfteMgAAzK+VozSqqmcneUeS05J8dfjzM1V1XGvt6lk2+0iSByQ5NcnlSdYmWb3PFQMAwDwbKSQneXWSc1prZw/vv6KqnpLkpUle2zeuqicneVKSB7fWbhwuvnIfawUAgAWx2+EWVbUqyaOTnNetOi/JY2fZ7BlJvp3k1VX1o6q6vKreWVUH7lO1AACwAEbpST4kyUSSG7rlNyT5jVm2eVCSxyW5M8lvJ1mT5F1J1iV5Vt+4qk7NYFhGjjzyyFHqBgCAeTPqcIs9tSJJS/Lc1tpPk6SqXp7kc1W1trW2U+BurZ2V5KwkOeGEE9o81QQAACMZZXaLG5NMZnDh3XRrk1w/yzY/TnLtVEAeunT4U1cxAAD7td2G5Nba9iQXJDm5W3Vykq/PstnXkqzrxiD/yvDnVXtaJAAALKRR50k+I8kpVfX7VXVsVb0jg/HF70mSqvpAVX1gWvsPJbkpyfuq6viq+vUMppD7WGtt8xzWDwAAc26kMcmttY9W1cFJXp/k8CQXJXlqa22qV/jIrv2tVfUbGVys9+0kNyf5eJI/mavCAQBgvox84V5r7cwkZ86ybsMMyy5L8uS9rgwAAMZk5K+lBgCA5UJIBgCAjpAMAAAdIRkAADpCMgAAdIRkAADoCMkAANARkgEAoCMkAwBAR0gGAICOkAwAAB0hGQAAOkIyAAB0hGQAAOgIyQAA0BGSAQCgIyQDAEBHSAYAgI6QDAAAHSEZAAA6QjIAAHSEZAAA6AjJAADQEZIBAKAjJAMAQEdIBgCAjpAMAAAdIRkAADpCMgAAdIRkAADoCMkAANARkgEAoCMkAwBAR0gGAICOkAwAAB0hGQAAOkIyAAB0hGQAAOgIyQAA0BGSAQCgIyQDAEBHSAYAgI6QDAAAHSEZAAA6QjIAAHSEZAAA6AjJAADQEZIBAKAjJAMAQEdIBgCAzsghuapOq6orquqOqrqgqk4acbvHVdVdVXXR3pcJAAALZ6SQXFXPTvKOJG9O8sgkX0/ymao6cjfb3SfJB5J8YR/rBACABTNqT/Krk5zTWju7tXZpa+0VSX6c5KW72e69Sd6f5Bv7UCMAACyo3YbkqlqV5NFJzutWnZfksbvY7rQka5P8+30pEAAAFtooPcmHJJlIckO3/IYk95tpg6p6RJI3JHlea21ydweoqlOralNVbdqyZcsIJQEAwPyZ89ktquruST6a5DWttStG2aa1dlZr7YTW2gmHHnroXJcEAAB7ZOUIbW5MMpnB0Inp1ia5fob2hyc5Nsn7qup9w2UrklRV3ZXkqa21fugGAADsN3bbk9xa257kgiQnd6tOzmCWi961SR6RZP2023uSfH/475m2AQCA/cYoPclJckaSc6vqW0m+luQlSdZlEH5TVR9IktbaC1prP0+y05zIVbU5yZ2tNXMlAwCw3xspJLfWPlpVByd5fQbDKS7KYNjEVcMmu5wvGQAAFpNRe5LTWjszyZmzrNuwm21PT3L6HtQFAABjM+ezWwAAwGInJAMAQEdIBgCAjpAMAAAdIRkAADpCMgAAdIRkAADoCMkAANARkgEAoCMkAwBAR0gGAICOkAwAAB0hGQAAOkIyAAB0hGQAAOgIyQAA0BGSAQCgIyQDAEBHSAYAgI6QDAAAHSEZAAA6QjIAAHSEZAAA6AjJAADQEZIBAKAjJAMAQEdIBgCAjpAMAAAdIRkAADpCMgAAdIRkAADoCMkAANARkgEAoCMkAwBAR0gGAICOkAwAAB0hGQAAOkIyAAB0hGQAAOgIyQAA0BGSAQCgIyQDAEBHSAYAgI6QDAAAHSEZAAA6QjIAAHSEZAAA6AjJAADQEZIBAKAjJAMAQEdIBgCAzsghuapOq6orquqOqrqgqk7aRdtnVtV5VbWlqn5WVedX1W/NTckAADC/RgrJVfXsJO9I8uYkj0zy9SSfqaojZ9nkCUm+mORpw/afTvK3uwrWAACwv1g5YrtXJzmntXb28P4rquopSV6a5LV949baq7pFb6yqpyV5RpKv7G2xAACwEHbbk1xVq5I8Osl53arzkjx2D451ryQ3z3KMU6tqU1Vt2rJlyx7sEgAA5t4owy0OSTKR5IZu+Q1J7jfKQarqZUkekOTcmda31s5qrZ3QWjvh0EMPHWWXAAAwb0YdbrHXquq3k7w1ybNba1fN9/EAAGBfjdKTfGOSySRru+Vrk1y/qw2r6lkZ9B6/oLX2yb2qEAAAFthuQ3JrbXuSC5Kc3K06OYNZLmZUVf8mg4B8SmvtY/tSJAAALKRRh1uckeTcqvpWkq8leUmSdUnekyRV9YEkaa29YHj/dzMIyK9J8uWqmhq7vL219pO5Kx8AAObeSCG5tfbRqjo4yeuTHJ7koiRPnTbGuJ8v+SXDfb99eJvypSQb9qVgAACYbyNfuNdaOzPJmbOs27Cr+wAAsJiM/LXUAACwXAjJAADQEZIBAKAjJAMAQEdIBgCAjpAMAAAdIRkAADpCMgAAdIRkAADoCMkAANARkgEAoCMkAwBAR0gGAICOkAwAAB0hGQAAOkIyAAB0hGQAAOgIyQAA0BGSAQCgIyQDAEBHSAYAgM7KcRcALG6TO1o2XrY5F193S45fd1A2HHNYJlbUuMsCgH0iJAN7bXJHy/Pfe34uvGZrtm2fzOpVE1l/xJqc+6LHCMoALGqGWwB7beNlm3PhNVtz+/bJtCS3b5/MhddszcbLNo+7NADYJ0IysNcuvu6WbNs+udOybdsnc8l1t4ypIgCYG0IysNeOX3dQVq+a2GnZ6lUTOW7dQWOqCADmhpAM7LUNxxyW9UesSU1uT9qOHDAck7zhmMPGXRoA7BMhGdhrEysq577oMTn08k9mzY++lnc955Eu2gNgSTC7BbBPJlZUDtj6wxyw9Yd50rFrx10OAMwJPckAANARkgEAoGO4BQAw73w7J4uNkAwAzCvfzsliZLgFADCvfDsni5GQDADMK9/OyWIkJAMA88q3c7IYCckAwLzy7ZwsRi7cmyPf+MFN4y4BxuaWbT9PsvT/H+zY0XLhNVtz5U235eiD75n1R6zJChcdwUhetuEh+e7f/udMHrg2L3vJqVl/xJp864qfjLss9gMnPvjgcZcwIyEZYAQ7drS8+TOX5vubb832u3Zk1coVechhB+Z1v3msoAwjWLGisuqm7yc3fT+POuqPx10O7JbhFgAjuPCarfn+5ltz51070pLcedeOfH/zrbnwmq3jLg2AeSAkA4zgyptuy/a7duy0bPtdO3LlTbeNqSIA5pPhFgAjOPrge2bVyhW5c1pQXrVyRY4++J5jrArYHdcSsLeEZIARrD9iTR5y2IG5+Oobk4mVufvdVuYhhx2Y9UesGXdpwCzGdS2BYL40CMkAI1ixovK63zw2f/CqP8rkgWvz8uHV+d745pZwwVyafi1BsvO1BI866j7zckwX+S4dQjLAiFydP7+EC+barq4lmK+QPI5gzvxw4R4A+wUziDDXpq4lmG6+ryVwke/SISQDsF8QLphrU9cS5K7BN/3dffjpxHxeSzCOYM78EJJhju3Y0fKdq27O33znR/nOVTdnx4427pJgURAumGtT1xIceMnHs/qKr+SVT3zovA/fGUcwZ34YkwxzyJhK2HtmEGE+LPS1BC7yXTr0JMMcMqYS9t44ev1gPkwF89VXfS2POuo+XsOL1MghuapOq6orquqOqrqgqk7aTfsnDNvdUVU/rKqX7Hu5LFbLZQiCMZWwb5ZTuFgu50VYrEYablFVz07yjiSnJfnq8Odnquq41trVM7R/YJJPJ/mrJM9L8rgkZ1bVltbaX89V8SwOy2kIgm9lA0axnM6LsFhVa7v/y7Wqzk/y3dbai6ctuzzJx1prr52h/X9I8szW2kOnLfsvSY5vrZ24q2Pd96hj28mv+6s9eAhz48L/78IkyfpfXb9X299yx8/nspwl5Wd33JVrt27L9JdaVXL/Natzr3ssrWHxrbVc/ZNtuf3Onyep1IrK6rtN5Mj7rk7V0n3ju/ySi5IkDz3u4WOuZP4tp8c6LsvhOV5O58XpxvW7Hcdxx3HM1lpuvXMyd/x8Mve420QOvPvEonjvOegedxvbsf/bSx57QWvthJnW7fZ/YlWtSvLoJP+xW3VeksfOstmJw/XTfS7JC6vqbq21nRJlVZ2a5NQkOfDwB++upHmxt+F4XyyXk8UdP59M/7dYa8mdP59ckDeDhXy8VZUj77s6t965Knf+fDJ3X+CT1LheU+MIM8vpsSbL501+HMebspCPdzmdF6cb1+92HMdd6GOOu5NmKf5xu9ue5Kpal+TaJE9orX152vI/S/J7rbVjZtjme0k+2Fp707Rlj0/ypSTrWms/nu14J5xwQtu0adMeP5Bx+8YPbtrjbV723N9Kkrz7Q5+Y63JmtWNHW/Arbr9z1c155xcv32kIwt1Xrsgrn/jQBfn2oXE8z+PisS5d43i8nuP547zIXFvMr6kTH3zwXJczsqqatSfZ7BbLyNQYuFuPe0a2PfCkvPOLl+fNn7l03i8WmZrW6e4rV6QSc0YCy57zInPNheNzb5TPdG5MMplkbbd8bZLrZ9nm+lna3zXcH2MwNT1ZVq5KsnDfJz81rdOF12zNlTfdlqMPvqc5I4FlzXmRuebC8bm325DcWtteVRckOTnJf5+26uQks81U8Y0k/7pbdnKSTf14ZBbOrv7KnO+PYlasqDzqqPssyEc+AIuB8yJzaerTiX7GlIX4dGLHjpbtBz8kkweuzXeuunnJ/ME36tUBZyQ5t6q+leRrSV6SZF2S9yRJVX0gSVprLxi2f0+Sl1fV25P8ZZJfT3JKkufMWeXsMX9lAsxsqb7Js3yM69OJ6UM5M7Ey7/zi5UtmOsORQnJr7aNVdXCS1yc5PMlFSZ7aWrtq2OTIrv0VVfXUJH+R5KVJrkvySnMkj9c4/8oE9p4AN7+W8ps8y8s4Pp0Y11DOhTDyPDOttTOTnDnLug0zLPtSkkftdWXMueU4Bk64YLET4ObfUn6Tn4nzInNpnEM559vSnbGcGS2nMXDCBUvBcgtw47CU3+R7zovMtaU8lNMUcCxZO4WLWkYXL08AAAe8SURBVLFTuIDFwrRO82/qTX66pfIm33NeZK4t5ekM9SSzZC2n3iGWrnH10iynj+SX0/UazovMtaU8lFNIZslayh8BsXyMI8Att4/kl/KbfM95kfmwVIdyCsksWcupd4ilaxwBbjmOg16qb/I950UYnZDMkrWceodY2hY6wPlIfulyXoTRCcksaculdwjmko/klzbnRRiN2S0A2MlSvlodYFR6kufIiQ8+eI+3OWj13fZ6W5jJcnpNLafHOg6fePDjsvGyzbnkulty3LqDsuGYwzLhI3lgGRGSAfglEysqTzp2bZ507NpxlwIwFoZbAABAR0gGAICOkAxLxOSOltvXPChb739ivnDpDZnc0cZdEgAsWsYkwxIwuaPl+e89P1se+vS0FSvzig//Q9YfsSbnvugxLrYCgL2gJxmWgI2Xbc6F12xNm1iV1Ircvn0yF16zNRsv2zzu0gBgURKSYQm4+Lpbsm375E7Ltm2fzCXX3TKmigBgcROSYQk4ft1BWb1qYqdlq1dN5Lh1B42pIgBY3IRkWAI2HHNY1h+xJgesmkglOWDVRNYfsSYbjjls3KUBwKLkwr0xmZqJYPs91+YLl97g26zYJxMrKue+6DG+IQ0A5oiQPAZmImA++IY0AJg7hluMgZkIAAD2b0LyGJiJAABg/yYkj4GZCAAA9m9C8hiYiQAAYP/mwr0xMBMBAMD+TUgeEzMRAADsvwy3AACAjpAMAAAdIRkAADpCMgAAdIRkYNGZ3NFy+5oHZev9T8wXLr0hkzvauEsCYIkxuwWwqEzuaHn+e8/Ploc+PW3Fyrziw/+Q9UesybkveoxpFAGYM3qSgUVl42Wbc+E1W9MmViW1Irdvn8yF12zNxss2j7s0AJYQIRlYVC6+7pZs2z6507Jt2ydzyXW3jKkiAJYiIRlYVI5fd1BWr5rYadnqVRM5bt1BY6oIgKVISAYWlQ3HHJb1R6zJAasmUkkOWDWR9UesyYZjDht3aQAsIS7cAxaViRWVc1/0mGy8bHMuue6WHLfuoGw45jAX7QEwp4RkYNGZWFF50rFr86Rj1467FACWKMMtAACgIyQDAEBHSAYAgI6QDAAAHSEZAAA6QjIAAHSEZAAA6AjJAADQEZIBAKAjJAMAQEdIBgCAjpAMAACdaq2Nu4adVNWWJFeN6fCHJLlxTMdm6fF6Yq55TTGXvJ6Ya4vxNXVUa+3QmVbsdyF5nKpqU2vthHHXwdLg9cRc85piLnk9MdeW2mvKcAsAAOgIyQAA0BGSd3bWuAtgSfF6Yq55TTGXvJ6Ya0vqNWVMMgAAdPQkAwBAR0gGAICOkAwAAB0hOUlVnVZVV1TVHVV1QVWdNO6aWJyq6vSqat3t+nHXxeJQVY+vqk9U1bXD184p3foavsauq6ptVbWxqo4fU7ksAiO8ps6Z4Zz1zTGVy36uql5bVd+uqluqaktVfbKqHt61WTLnqWUfkqvq2UnekeTNSR6Z5OtJPlNVR461MBazy5IcPu32iPGWwyJyYJKLkrwqybYZ1v+7JH+U5BVJfi3J5iR/V1X3WrAKWWx295pKks9n53PWUxemNBahDUnOTPLYJE9McleSz1fVfae1WTLnqWU/u0VVnZ/ku621F09bdnmSj7XWXju+yliMqur0JM9qrT18d21hV6rq1iQvb62dM7xfSa5L8p9aa38+XLY6gzeg17TW/nJctbI49K+p4bJzkhzSWvvfx1UXi1dVHZjkp0me0Vr75FI7Ty3rnuSqWpXk0UnO61adl8FfSbA3HjT8mOmKqvpIVT1o3AWxJDwwyf0y7XzVWtuW5MtxvmLfPK6qNlfV96rq7Ko6bNwFsWjcK4MsefPw/pI6Ty3rkJzkkCQTSW7olt+QwS8Z9tT5SU5J8pQkL87gdfT1qjp4nEWxJEydk5yvmEufTfKCJE/K4CPy/yXJF6vq7mOtisXiHUkuTPKN4f0ldZ5aOe4CYClprX1m+v3hBTA/TPLCJGeMpSiAWbTWPjLt7j9W1QVJrkrytCR/M56qWAyq6owkj0vyuNba5LjrmQ/LvSf5xiSTSdZ2y9cmMSMB+6y1dmuSi5M8dNy1sOhNnZOcr5g3rbXrkvwozlnsQlX9RZLnJHlia+2H01YtqfPUsg7JrbXtSS5IcnK36uQMZrmAfVJV90jysCQ/HnctLHpXZPAm88/nq+Hr66Q4XzFHquqQJPePcxazqKp35BcB+Z+61UvqPGW4xeAj8HOr6ltJvpbkJUnWJXnPWKtiUaqq/5jkk0muTnJYkj9Ncs8k7x9nXSwOwyvFHzK8uyLJkVW1PslPWmtXV9Xbk7yuqv4pyfeSvD7JrUk+NJaC2e/t6jU1vJ2e5K8zCMVHJ3lLBjMR/O1C18r+r6reneT5SZ6R5OaqmhpnfGtr7dbWWltK56llPwVcMvgykQzm9Ts8g/kk/7C19uXxVsViVFUfSfL4DC4K3ZLkm0n+tLV2yVgLY1Goqg1J/n6GVe9vrZ0ynF7pDUn+IMl9MrhQ9GWttYsWrkoWk129ppK8NMnHM/iOgDUZBOW/z+Ccdc1C1cjiUVWzhcY3ttZOH7ZZMucpIRkAADrLekwyAADMREgGAICOkAwAAB0hGQAAOkIyAAB0hGQAAOgIyQAA0BGSAQCg8/8DLfeWyP8fc2wAAAAASUVORK5CYII=\n",
            "text/plain": [
              "<Figure size 864x504 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 209
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 864x504 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "SYShsPxrFSdz",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        ""
      ],
      "execution_count": 209,
      "outputs": []
    }
  ]
}