Assignment8_CS_202151160.ipynb

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  "metadata": {
    "colab": {
      "provenance": []
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    },
    "language_info": {
      "name": "python"
    }
  },
  "cells": [
    {
      "cell_type": "code",
      "source": [
        "#Data Analytics and Visualization (CS/IT312)\n",
        "#Assignment 9\n",
        "#Name: Snehal Nalawade\n",
        "#ID: 202151160"
      ],
      "metadata": {
        "id": "YttE2ldHR0KH"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "1Dbql9LTMLU_",
        "outputId": "0fdd440c-27ae-457d-a3fc-6a2e56ccd1cf"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Mounted at /content/drive\n"
          ]
        }
      ],
      "source": [
        "from google.colab import drive\n",
        "drive.mount('/content/drive')"
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "• Data contains Weight, Height and Gender of a human survey\n",
        "(weight-height.csv)."
      ],
      "metadata": {
        "id": "-Ll2DsOAMiSt"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "import pandas as pd\n",
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "from scipy.stats import norm"
      ],
      "metadata": {
        "id": "Ka4iFd7yMW69"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "source": [
        "Reading the CSV file and extracting the \"Height\" data:"
      ],
      "metadata": {
        "id": "sF_e-hMMMySv"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "data = pd.read_csv('/content/drive/MyDrive/DAV sem 6/weight-height.csv')\n",
        "ht_data = data['Height']"
      ],
      "metadata": {
        "id": "PtmFoR6nMrFO"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "# Number of samples to take\n",
        "numOfSamples = 10000\n",
        "# Sample size\n",
        "sampleSize = 100"
      ],
      "metadata": {
        "id": "tgsUWhSrM-EB"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "source": [
        "1. Verify the Central Limit Theorem using the ”Height” feature of the data."
      ],
      "metadata": {
        "id": "s8zH7D_lPnmd"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "Computing sample means for the given sample size:"
      ],
      "metadata": {
        "id": "vki5WrRlNc50"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "sampleMeans = []\n",
        "for _ in range(numOfSamples):\n",
        "    sample = np.random.choice(ht_data, size=sampleSize, replace=True)\n",
        "    sampleMean = np.mean(sample)\n",
        "    sampleMeans.append(sampleMean)"
      ],
      "metadata": {
        "id": "el5Mz7qCNFa2"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "source": [
        "Plotting the distribution of sample means and comparing with a normal distribution:"
      ],
      "metadata": {
        "id": "z2NKYViRPIEi"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "plt.figure(figsize=(8, 6))"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 53
        },
        "id": "1QcerUOAPFnE",
        "outputId": "aec7e530-fd2e-46b6-fee4-1b0f7b3e209d"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<Figure size 800x600 with 0 Axes>"
            ]
          },
          "metadata": {},
          "execution_count": 8
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 800x600 with 0 Axes>"
            ]
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "plt.hist(sampleMeans, bins=30, density=True, alpha=0.6, color='g', edgecolor='black')\n",
        "plt.title('Sample Size = {}'.format(sampleSize))\n",
        "plt.xlabel('Height')\n",
        "plt.ylabel('Frequency')"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 490
        },
        "id": "cGULa_QSPMJC",
        "outputId": "c40c5144-3672-4f55-cd84-9ef66ee79775"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "Text(0, 0.5, 'Frequency')"
            ]
          },
          "metadata": {},
          "execution_count": 9
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "Plotting normal distribution for comparison:"
      ],
      "metadata": {
        "id": "tLLy569_PZUq"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "mu = np.mean(sampleMeans)\n",
        "sigma = np.std(sampleMeans)\n",
        "xmin, xmax = plt.xlim()\n",
        "x = np.linspace(xmin, xmax, 100)\n",
        "p = norm.pdf(x, mu, sigma)\n",
        "plt.plot(x, p, 'k', linewidth=2)\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 430
        },
        "id": "luzm7JTpPSSH",
        "outputId": "27568b74-8e1e-42dd-a916-1568797469ef"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": "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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "2. Perform the Bootstrap on ”Height” feature of the data.\n"
      ],
      "metadata": {
        "id": "VUEbBYjNPo-t"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# Number of bootstrap samples\n",
        "numBootstrapSamples = 1000\n"
      ],
      "metadata": {
        "id": "3SSNmIFdPfvi"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "# Perform bootstrap resampling\n",
        "bootstrapSamples = []\n",
        "bootstrapSampleMeans = []\n",
        "for _ in range(numBootstrapSamples):\n",
        "    # Generate a bootstrap sample by sampling with replacement from the original data\n",
        "    bootstrapSample = np.random.choice(ht_data, size=len(ht_data), replace=True)\n",
        "\n",
        "    # Store the bootstrap sample\n",
        "    bootstrapSamples.append(bootstrapSample)\n",
        "\n",
        "    # Calculate the mean of the bootstrap sample\n",
        "    bootstrapSampleMean = sum(bootstrapSample) / len(bootstrapSample)\n",
        "\n",
        "    # Append the bootstrap sample mean to the list\n",
        "    bootstrapSampleMeans.append(bootstrapSampleMean)\n"
      ],
      "metadata": {
        "id": "lEmEb6zaPuv-"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "print(bootstrapSamples)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "y5weMNCwQJAS",
        "outputId": "0807180c-82c4-41aa-8014-12fac7029ce7"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "[array([64.08353972, 71.25353511, 60.26719012, ..., 65.01708725,\n",
            "       63.9575827 , 65.46247042]), array([66.20275583, 67.91531408, 61.69433713, ..., 63.49530291,\n",
            "       59.30778715, 66.41315594]), array([68.38886947, 65.36153819, 65.09677602, ..., 65.70001271,\n",
            "       64.9365559 , 65.42607816]), array([70.03067329, 61.97668615, 64.71588569, ..., 68.50781491,\n",
            "       69.23842719, 60.6342463 ]), array([68.76436014, 71.67636717, 68.03473112, ..., 68.02228235,\n",
            "       68.75899269, 64.36248027]), array([64.05697554, 62.0041303 , 72.3595    , ..., 65.69358887,\n",
            "       64.98197829, 68.2152298 ]), array([73.50736001, 64.74142541, 68.30453594, ..., 62.77184716,\n",
            "       63.86799221, 63.67128785]), array([67.90361205, 69.50364737, 62.85937379, ..., 65.41105299,\n",
            "       67.65689279, 68.72922819]), array([60.84893452, 62.32308708, 76.01230001, ..., 65.97904809,\n",
            "       64.4645503 , 60.4571772 ]), array([66.69530922, 59.02808724, 63.54636972, ..., 64.74579099,\n",
            "       70.64357719, 71.60855972]), array([62.21096286, 67.32181711, 71.92510646, ..., 63.27589919,\n",
            "       72.35824904, 70.52322452]), array([70.90946201, 64.4369965 , 61.31079843, ..., 66.78882199,\n",
            "       73.24935723, 68.28100021]), array([70.98227321, 63.42051282, 60.42125498, ..., 58.57757583,\n",
            "       65.68265507, 69.92281015]), array([68.72182448, 69.95246683, 66.01551855, ..., 69.19685751,\n",
            "       71.77484122, 69.57852542]), array([64.1082872 , 65.93552467, 58.89247364, ..., 63.92444739,\n",
            "       69.30812678, 68.24844296]), array([65.0312587 , 66.43652542, 66.28486338, ..., 63.8592792 ,\n",
            "       59.33081907, 64.59445871]), array([61.45626213, 63.49530291, 65.01331835, ..., 71.85372209,\n",
            "       74.06687892, 65.07178455]), array([64.6652424 , 69.23076764, 70.47367765, ..., 68.98238073,\n",
            "       74.79537502, 69.07449203]), array([66.34133375, 61.19129475, 71.05277859, ..., 63.52168778,\n",
            "       69.97894082, 62.44733352]), array([65.79365061, 65.23001251, 65.31368481, ..., 65.8810596 ,\n",
            "       74.81405247, 65.07111347]), array([69.30053044, 65.43536089, 66.78746728, ..., 63.46700291,\n",
            "       70.50239804, 64.20651603]), array([63.34757996, 64.78042004, 62.37258696, ..., 67.75177607,\n",
            "       67.83959025, 63.30959493]), array([70.88614442, 61.19722319, 71.17115346, ..., 69.94407979,\n",
            "       70.44802027, 63.26327461]), array([64.24043215, 68.89009494, 67.12200313, ..., 68.33195769,\n",
            "       60.14955877, 56.82223984]), array([65.34320327, 65.6923234 , 65.09963565, ..., 66.6869927 ,\n",
            "       67.41204603, 56.44568503]), array([65.24142932, 68.26658679, 61.9231579 , ..., 63.06769365,\n",
            "       63.55262155, 65.12674824]), array([67.44504068, 64.70435852, 65.62492094, ..., 64.62342716,\n",
            "       71.40851816, 70.07181913]), array([62.07405899, 70.2450922 , 61.68302858, ..., 71.6712553 ,\n",
            "       65.36386808, 63.92177623]), array([59.76289819, 69.28950996, 69.23783198, ..., 64.09800721,\n",
            "       60.91327091, 67.6800145 ]), array([72.42977095, 66.13260527, 65.59356299, ..., 67.47935176,\n",
            "       70.04866729, 69.6791497 ]), array([78.99874235, 64.7285397 , 58.87202902, ..., 69.94425057,\n",
            "       61.12011643, 62.45074489]), array([69.9221434 , 58.44507284, 62.06676085, ..., 69.22411519,\n",
            "       64.38839608, 62.72134956]), array([70.32255001, 64.63749296, 62.50136418, ..., 68.93034945,\n",
            "       65.28601781, 71.27924281]), array([65.90834975, 65.2700969 , 72.06318034, ..., 76.47287987,\n",
            "       69.50423744, 62.15897149]), array([62.59001755, 70.47367765, 65.07020441, ..., 61.8665605 ,\n",
            "       68.43166034, 66.18398071]), array([68.58137352, 65.38669083, 61.90196095, ..., 71.87953849,\n",
            "       69.81381087, 66.3603886 ]), array([72.4456338 , 69.28213781, 75.18479483, ..., 65.15809051,\n",
            "       61.16192129, 61.82336812]), array([70.65445541, 73.18104362, 65.04972037, ..., 72.73897   ,\n",
            "       62.06640618, 71.23796819]), array([64.05016121, 71.10557757, 63.53353851, ..., 66.29405894,\n",
            "       72.67888504, 65.36771397]), array([68.89009494, 62.98115002, 67.07126277, ..., 62.63831558,\n",
            "       68.39478024, 59.54768085]), array([67.38277715, 61.5313234 , 65.2848633 , ..., 66.20571522,\n",
            "       63.46166489, 69.54311635]), array([72.26474828, 65.16888741, 59.90155376, ..., 64.74012563,\n",
            "       64.97071847, 63.47689571]), array([71.91504513, 69.21387398, 67.69710365, ..., 66.31789942,\n",
            "       63.24099163, 65.39918209]), array([67.38345074, 64.73708904, 66.92572385, ..., 64.31120561,\n",
            "       65.27930021, 63.89539303]), array([70.78093604, 64.7708441 , 62.38553415, ..., 65.45487455,\n",
            "       68.83693336, 71.25062398]), array([69.47032264, 67.71919305, 61.70885444, ..., 62.7137651 ,\n",
            "       61.30514652, 62.68425202]), array([65.92896208, 62.32127193, 68.17139883, ..., 67.61463094,\n",
            "       62.96190985, 69.53359581]), array([68.13842635, 71.66933582, 69.13768335, ..., 68.10111341,\n",
            "       64.58950082, 66.64156891]), array([63.6553172 , 73.43273647, 62.78303967, ..., 64.60280743,\n",
            "       68.67903487, 69.28592141]), array([69.43434828, 65.204446  , 73.15864187, ..., 67.73892043,\n",
            "       66.92533618, 73.56227037]), array([66.51734475, 69.34761746, 69.58595624, ..., 72.73897   ,\n",
            "       59.78850126, 68.50294349]), array([71.29197599, 68.38886947, 63.46700291, ..., 66.24501806,\n",
            "       62.92194889, 61.80386388]), array([62.2665815 , 63.69071992, 63.00806713, ..., 76.47287987,\n",
            "       64.37461739, 71.5392985 ]), array([59.96841857, 69.66581872, 63.10632597, ..., 69.16345307,\n",
            "       70.00198015, 67.8053119 ]), array([69.29682996, 71.84577794, 64.82264546, ..., 63.77036299,\n",
            "       69.04386662, 67.62791945]), array([62.98086122, 66.17809104, 67.68548994, ..., 64.48784219,\n",
            "       68.32145287, 62.32092057]), array([71.56797976, 70.24286617, 66.20542779, ..., 67.39334607,\n",
            "       68.48916396, 64.42519379]), array([71.39730891, 65.28601781, 68.10921459, ..., 66.10603795,\n",
            "       73.92912413, 64.35826355]), array([60.80094232, 62.12748011, 69.28424016, ..., 69.15310229,\n",
            "       65.6823646 , 71.69717714]), array([64.82818463, 68.18534938, 68.90865204, ..., 67.07165992,\n",
            "       63.00648017, 73.36693298]), array([71.36206501, 68.36806631, 60.85930919, ..., 67.50534814,\n",
            "       73.10605905, 59.41310734]), array([65.07541893, 69.60127796, 63.75602373, ..., 69.30053044,\n",
            "       63.38828857, 65.22021202]), array([75.69861825, 66.24759159, 62.79049539, ..., 64.07721016,\n",
            "       62.78104805, 70.77315142]), array([64.35620881, 69.83697663, 70.8193038 , ..., 64.12011177,\n",
            "       65.42607816, 63.61281112]), array([68.24037965, 60.29546059, 63.32730364, ..., 71.85662883,\n",
            "       73.62154397, 73.07711958]), array([60.57920806, 64.4893424 , 73.69685922, ..., 62.13174991,\n",
            "       64.7847326 , 68.73298815]), array([71.69548249, 64.72162222, 64.57431387, ..., 64.29326944,\n",
            "       73.75963574, 60.01386373]), array([66.01495833, 62.50289984, 68.17630646, ..., 64.36013556,\n",
            "       69.60643732, 66.26179473]), array([64.19139698, 58.3872723 , 63.99256524, ..., 66.77643782,\n",
            "       60.88950084, 64.29800817]), array([70.62904069, 70.78562782, 72.06059237, ..., 66.66977504,\n",
            "       66.83287821, 63.84521213]), array([70.1759547 , 67.6800145 , 73.84689148, ..., 65.23813844,\n",
            "       62.02901447, 61.52060853]), array([62.76074421, 59.5569083 , 63.97147267, ..., 63.80413136,\n",
            "       62.44275713, 61.90196095]), array([68.84761219, 73.78663644, 59.8796705 , ..., 68.37909795,\n",
            "       64.53373761, 59.24865572]), array([60.55060489, 64.83768998, 66.1109809 , ..., 64.26084149,\n",
            "       63.89741994, 62.36507425]), array([72.78376608, 72.73897   , 67.8053119 , ..., 61.98496931,\n",
            "       62.83091941, 62.66758012]), array([69.47740992, 68.69476215, 71.17708259, ..., 69.11988779,\n",
            "       66.29052033, 67.1322639 ]), array([62.99354977, 67.6044185 , 71.05336754, ..., 70.71675037,\n",
            "       66.53896455, 69.28592141]), array([70.32349325, 70.18784931, 68.62688583, ..., 61.94547679,\n",
            "       68.60809519, 64.96331257]), array([71.68739158, 64.79939376, 75.25945676, ..., 62.90614492,\n",
            "       64.58807841, 65.0021318 ]), array([70.12349564, 65.17926277, 67.77378647, ..., 67.26636272,\n",
            "       65.82002345, 72.97226337]), array([58.36944783, 56.97513323, 66.32521562, ..., 69.94097302,\n",
            "       71.75812504, 62.28683837]), array([61.87815686, 66.0675479 , 65.10961448, ..., 58.95492258,\n",
            "       63.43360753, 63.88194593]), array([65.53670241, 64.83819361, 64.44509767, ..., 73.03840861,\n",
            "       65.11610036, 67.775743  ]), array([73.07711958, 62.27340148, 60.30384144, ..., 66.05067057,\n",
            "       65.31170819, 59.57718853]), array([63.45040176, 72.39065722, 74.84287462, ..., 64.24043215,\n",
            "       68.08592074, 66.98861261]), array([68.41676724, 61.04357208, 66.27613841, ..., 64.9045356 ,\n",
            "       59.54768085, 66.41931608]), array([73.91290838, 69.11929182, 58.89588635, ..., 64.64052746,\n",
            "       65.65827642, 61.83709682]), array([62.41658674, 63.21696482, 70.70409374, ..., 62.1284586 ,\n",
            "       69.2972917 , 68.80593452]), array([60.07624076, 69.92281015, 73.49841233, ..., 66.05067057,\n",
            "       66.01551855, 66.46737814]), array([61.39164365, 72.17530912, 69.80629069, ..., 69.81029132,\n",
            "       61.84496574, 68.17396371]), array([67.52510042, 68.16192501, 62.73483929, ..., 65.54912127,\n",
            "       66.53435218, 64.50733065]), array([63.73878465, 73.96772269, 66.620926  , ..., 66.41315594,\n",
            "       71.50520627, 65.95969117]), array([69.76287854, 57.14819808, 69.31816913, ..., 70.66144439,\n",
            "       68.09296485, 64.24834298]), array([64.69407321, 67.51751984, 67.61251396, ..., 68.54184169,\n",
            "       66.66110311, 61.61107106]), array([61.48963366, 65.87978833, 61.65177189, ..., 66.57751567,\n",
            "       65.41908149, 65.00925918]), array([63.00978308, 63.78640194, 67.7692942 , ..., 67.40540788,\n",
            "       66.72444457, 64.0729203 ]), array([67.19076332, 69.37184333, 70.64319256, ..., 63.68469752,\n",
            "       70.56454149, 68.95153509]), array([64.72501465, 65.02031402, 71.93849595, ..., 71.46376469,\n",
            "       60.05671104, 67.29028294]), array([70.64751415, 70.64864688, 69.90942164, ..., 70.01377974,\n",
            "       68.28704173, 66.42598313]), array([70.2091372 , 67.93499042, 62.54787795, ..., 71.71587   ,\n",
            "       64.12266119, 68.45108413]), array([66.76615661, 63.91326022, 64.72986759, ..., 61.59406626,\n",
            "       67.67287524, 71.26893074]), array([71.38602219, 67.98597514, 64.29528413, ..., 67.53165705,\n",
            "       65.20734666, 69.05262823]), array([62.7156184 , 63.22022877, 62.62598514, ..., 62.61527991,\n",
            "       66.23509454, 68.45108413]), array([69.92082236, 66.62044769, 61.58004413, ..., 69.21820494,\n",
            "       62.75595876, 70.80320122]), array([64.70671644, 62.34561799, 64.52084746, ..., 62.75287752,\n",
            "       65.13073845, 63.29022369]), array([65.84458046, 69.66711517, 63.7848706 , ..., 67.12960257,\n",
            "       61.04190509, 59.33510789]), array([67.94757004, 65.00879325, 63.17153474, ..., 69.02891597,\n",
            "       69.7621679 , 72.26708683]), array([66.66110311, 68.67139105, 60.18839207, ..., 66.41747192,\n",
            "       66.29052033, 68.44444038]), array([60.98921654, 63.85785453, 61.22682866, ..., 66.70065171,\n",
            "       60.09644199, 64.52062705]), array([64.92362456, 69.66711517, 72.78342602, ..., 63.48845964,\n",
            "       64.98809012, 66.32446981]), array([61.43468651, 58.91382587, 67.95301626, ..., 71.3296991 ,\n",
            "       68.99744011, 73.50183962]), array([68.73525452, 60.5977271 , 70.92184441, ..., 68.3606064 ,\n",
            "       62.57068195, 62.85189453]), array([70.44016167, 62.02837306, 65.98761029, ..., 66.3200806 ,\n",
            "       67.41375013, 67.55930056]), array([71.99125654, 64.83144937, 66.35133111, ..., 68.59666269,\n",
            "       58.5921355 , 68.45108413]), array([65.62492094, 68.6739597 , 66.32396557, ..., 67.35659794,\n",
            "       61.73606109, 57.10386947]), array([70.2475311 , 68.02337428, 68.54146741, ..., 70.28405602,\n",
            "       70.98367049, 64.55369757]), array([68.9555251 , 61.07521028, 66.71458512, ..., 71.84843485,\n",
            "       65.17625342, 71.52842429]), array([57.37575853, 63.82605461, 61.19944881, ..., 70.86581545,\n",
            "       69.94498603, 66.77415209]), array([71.3018407 , 59.97896224, 67.19352328, ..., 66.21297988,\n",
            "       65.72915324, 64.36124908]), array([69.19754794, 63.97982305, 64.76525451, ..., 64.26913712,\n",
            "       74.43050131, 65.11934931]), array([62.03276374, 62.96400001, 70.61316241, ..., 67.68008391,\n",
            "       64.11091536, 65.24244306]), array([71.52900148, 64.47560158, 69.35945795, ..., 64.98580984,\n",
            "       73.56227037, 69.71391864]), array([71.30122283, 63.89318789, 67.05480339, ..., 65.47664971,\n",
            "       60.28059756, 63.97815169]), array([69.11988779, 65.49805834, 70.56722389, ..., 71.6712553 ,\n",
            "       65.39301874, 60.58563771]), array([62.80406817, 65.00925918, 63.94437282, ..., 71.3296991 ,\n",
            "       71.61782407, 63.802595  ]), array([65.47590249, 66.13417537, 65.72858019, ..., 66.85487891,\n",
            "       67.11173942, 69.40649324]), array([64.12416537, 70.20780173, 63.2913018 , ..., 65.42018319,\n",
            "       67.02214448, 67.49557515]), array([62.53480578, 72.26708683, 73.09647798, ..., 70.50239804,\n",
            "       76.71998493, 70.51851509]), array([66.67471009, 62.89841407, 71.60673989, ..., 72.21873615,\n",
            "       73.92142853, 71.81610581]), array([64.60391582, 59.30778715, 70.87281146, ..., 70.13360612,\n",
            "       63.21508481, 63.67416711]), array([62.86797761, 63.38350557, 64.07346612, ..., 70.25225274,\n",
            "       65.32796901, 63.73111285]), array([68.89452931, 69.10919144, 70.09493507, ..., 64.64106057,\n",
            "       63.73731691, 67.1017604 ]), array([63.60802085, 69.60127796, 68.40086738, ..., 61.01861057,\n",
            "       67.68321858, 65.8889514 ]), array([60.90701533, 66.57488673, 71.08906207, ..., 67.49526034,\n",
            "       74.244124  , 64.82115564]), array([68.32366764, 66.2040392 , 62.07171519, ..., 66.17587032,\n",
            "       69.25855435, 65.85609973]), array([64.63750197, 71.97052605, 64.52612385, ..., 63.04027949,\n",
            "       65.22709704, 69.80481696]), array([63.65251365, 64.64943224, 67.67385858, ..., 64.63749296,\n",
            "       72.43046882, 72.9909156 ]), array([65.25051883, 63.349186  , 67.38179989, ..., 57.13730096,\n",
            "       60.15003071, 63.7251435 ]), array([61.41451085, 63.11914595, 69.13169187, ..., 65.56431557,\n",
            "       71.78561561, 62.15775128]), array([67.85653908, 66.029034  , 59.16960398, ..., 63.94437282,\n",
            "       68.03773355, 71.23022846]), array([74.76744684, 69.5761714 , 69.94425057, ..., 69.74123964,\n",
            "       67.67864404, 68.20238461]), array([63.61781518, 69.14577478, 67.17293183, ..., 64.42433829,\n",
            "       61.69894111, 65.4186961 ]), array([66.0119977 , 67.61638297, 64.03570604, ..., 60.11391973,\n",
            "       71.17416258, 65.66251181]), array([71.5311788 , 72.24472362, 71.36889076, ..., 66.05957019,\n",
            "       68.10111341, 62.96892944]), array([68.53790185, 69.00783124, 64.47856716, ..., 61.58197463,\n",
            "       68.46557156, 64.08483409]), array([63.63796431, 60.25229165, 68.8026918 , ..., 62.32843398,\n",
            "       66.23509454, 65.78802419]), array([62.23071362, 63.56265567, 64.17734256, ..., 62.95222847,\n",
            "       61.12204546, 62.71958949]), array([67.83639708, 70.68894333, 64.83522306, ..., 67.97801985,\n",
            "       67.79589341, 71.12075332]), array([57.92315936, 63.63796431, 63.95849617, ..., 65.15222844,\n",
            "       60.25749331, 69.99666269]), array([66.48907439, 69.56323228, 64.86994072, ..., 66.25651392,\n",
            "       64.64221807, 68.50326101]), array([67.23677952, 67.36980864, 60.57531491, ..., 65.69282981,\n",
            "       70.53251302, 59.49907739]), array([68.48136864, 68.73351426, 71.01573094, ..., 73.71652763,\n",
            "       65.38656672, 66.3040377 ]), array([65.31599882, 73.29535059, 68.47800208, ..., 60.42138494,\n",
            "       63.3828015 , 67.824715  ]), array([59.83771201, 74.88521873, 69.07281082, ..., 62.3047031 ,\n",
            "       63.68800241, 64.5172152 ]), array([72.17355644, 58.42523254, 67.42549984, ..., 64.58950082,\n",
            "       63.52057456, 71.69717714]), array([65.84979857, 61.27477347, 61.98487259, ..., 68.77721499,\n",
            "       69.01973611, 58.99628681]), array([66.87536305, 68.46572392, 67.69143017, ..., 61.63358365,\n",
            "       65.86451928, 65.22238954]), array([73.50183962, 70.75201202, 67.9281355 , ..., 63.74303984,\n",
            "       62.01501358, 67.72695642]), array([66.85487891, 66.2973454 , 72.22761616, ..., 70.37860781,\n",
            "       63.57610108, 63.86799221]), array([74.03459775, 61.66852287, 68.23795231, ..., 63.47642683,\n",
            "       66.12013432, 68.15658922]), array([64.80530289, 67.38506486, 57.35309276, ..., 59.02919506,\n",
            "       67.86314293, 65.8810596 ]), array([63.40120514, 61.19083726, 69.35945795, ..., 69.59482623,\n",
            "       73.01286326, 64.99140451]), array([63.95141659, 63.04027949, 72.57112137, ..., 64.7552066 ,\n",
            "       61.59765672, 66.77171597]), array([72.26118465, 70.48922454, 71.5687337 , ..., 63.37809881,\n",
            "       68.69701012, 71.46433269]), array([75.57944434, 62.34460773, 67.93686881, ..., 63.65150825,\n",
            "       63.39035699, 64.79939376]), array([65.73434893, 63.16756379, 63.56876019, ..., 67.46299066,\n",
            "       65.36746816, 70.86268806]), array([67.06002082, 70.57876021, 70.90773669, ..., 67.72493598,\n",
            "       64.92201119, 67.79446031]), array([70.64864688, 63.82206715, 64.7784802 , ..., 62.43242625,\n",
            "       66.74727349, 69.2854625 ]), array([69.43402914, 68.24080155, 63.52497621, ..., 68.4697154 ,\n",
            "       69.56022893, 66.47376597]), array([69.07870673, 71.01461429, 66.86272506, ..., 66.31384436,\n",
            "       66.79400775, 68.6942095 ]), array([63.01236239, 72.93363933, 69.43688968, ..., 65.14765956,\n",
            "       69.1801611 , 64.43393476]), array([69.89303775, 60.19085828, 67.60266255, ..., 70.64751415,\n",
            "       66.98812871, 62.41843392]), array([65.69073515, 60.22859228, 63.62976013, ..., 72.15209384,\n",
            "       68.47458526, 67.32685004]), array([68.14307845, 65.95225835, 67.23126085, ..., 68.98883524,\n",
            "       59.0832025 , 69.58211332]), array([60.8084237 , 67.65084421, 70.62859645, ..., 66.68375106,\n",
            "       64.17227736, 62.40406121]), array([66.03501695, 66.42394365, 70.22277824, ..., 72.71616603,\n",
            "       67.00135021, 70.60240884]), array([67.40595053, 68.07027816, 73.10605905, ..., 72.50075663,\n",
            "       66.93820616, 63.18161983]), array([60.42125498, 62.63667493, 67.86537321, ..., 65.34906623,\n",
            "       62.73209196, 63.12192679]), array([68.45490383, 57.76480789, 71.84843485, ..., 67.65278593,\n",
            "       75.55355223, 66.22625309]), array([63.39650483, 67.40902587, 62.82145372, ..., 70.09954493,\n",
            "       68.03290834, 64.29326944]), array([64.99140451, 70.46445649, 65.85563918, ..., 66.20542779,\n",
            "       66.29052033, 65.75454762]), array([69.96391207, 62.23427754, 67.39177377, ..., 65.9085274 ,\n",
            "       69.61776378, 61.21316929]), array([63.18086385, 59.34746823, 66.42418713, ..., 60.91177092,\n",
            "       64.00783813, 67.3942812 ]), array([69.2844188 , 63.84405984, 67.79589341, ..., 68.18809667,\n",
            "       61.5313234 , 68.78387283]), array([62.93076044, 64.58020712, 70.95804927, ..., 67.21839415,\n",
            "       65.63649698, 67.79446031]), array([73.29150846, 74.01300646, 69.20634844, ..., 69.57823897,\n",
            "       73.64913835, 62.31548855]), array([66.39319245, 62.36135955, 66.27599525, ..., 67.82109327,\n",
            "       68.49081272, 61.83922985]), array([68.69746059, 60.91002427, 65.15222844, ..., 68.79342511,\n",
            "       66.00806744, 65.73434893]), array([70.46431845, 64.12060981, 61.93095905, ..., 61.41058971,\n",
            "       71.58552406, 73.38958587]), array([66.65652059, 65.32063203, 61.63358365, ..., 60.84686273,\n",
            "       65.21579226, 72.73859251]), array([60.9357397 , 67.01218541, 68.97394183, ..., 66.65463638,\n",
            "       62.73483929, 65.88097189]), array([62.82690374, 74.81405247, 69.7032216 , ..., 64.84516155,\n",
            "       72.54330705, 62.09875715]), array([62.80619937, 64.46619374, 71.69388059, ..., 71.69388059,\n",
            "       60.9794599 , 63.45040176]), array([60.16166919, 64.50158387, 64.24667196, ..., 64.42841794,\n",
            "       60.97203231, 61.25433462]), array([68.15370179, 65.66287854, 70.00488668, ..., 64.49023632,\n",
            "       63.01617308, 66.8118904 ]), array([65.00645708, 61.75934133, 67.90758302, ..., 63.55881915,\n",
            "       62.25271726, 64.35931605]), array([66.25260405, 65.87452069, 62.63300531, ..., 62.81038757,\n",
            "       67.99909936, 68.09887366]), array([68.93769671, 63.95622575, 66.80370385, ..., 70.10478626,\n",
            "       58.3872723 , 67.9129871 ]), array([62.7137651 , 67.71123154, 62.76372392, ..., 63.93180404,\n",
            "       58.14565279, 62.33662335]), array([59.12143305, 60.07624076, 70.51041016, ..., 72.4456338 ,\n",
            "       63.349186  , 58.2136141 ]), array([57.65488503, 65.65215644, 60.12416782, ..., 65.6555249 ,\n",
            "       70.56336105, 63.40042323]), array([64.01715723, 63.22380368, 60.55219223, ..., 60.48394565,\n",
            "       71.40971655, 69.97639739]), array([67.22774502, 67.14365457, 65.51163305, ..., 68.52940825,\n",
            "       66.65652059, 69.5595272 ]), array([62.39609426, 64.16393928, 67.67385858, ..., 62.0041303 ,\n",
            "       62.71302318, 63.13233936]), array([64.00499258, 63.23241937, 70.43634738, ..., 62.64142391,\n",
            "       67.39601985, 56.07869973]), array([65.97414492, 62.0454434 , 68.59340514, ..., 64.58878167,\n",
            "       68.18009307, 65.25100177]), array([70.09134432, 74.01689711, 62.18172076, ..., 65.64328105,\n",
            "       67.19317134, 74.88030802]), array([70.22947004, 70.96178771, 64.74326601, ..., 69.55326838,\n",
            "       64.80414049, 72.17719293]), array([69.02190109, 66.68973599, 66.14169711, ..., 62.64413447,\n",
            "       69.9221434 , 68.38438688]), array([70.54239278, 61.89507911, 65.69073515, ..., 68.27419147,\n",
            "       69.51303554, 73.60836469]), array([67.9304599 , 62.45879162, 62.82604224, ..., 65.09265639,\n",
            "       69.47110603, 66.93307845]), array([69.39489622, 71.45373738, 63.70420141, ..., 63.98514069,\n",
            "       68.09285476, 64.4678893 ]), array([68.15631187, 62.20503763, 72.54132659, ..., 61.73773496,\n",
            "       66.53849386, 62.59721453]), array([64.85579918, 61.38777196, 69.85933144, ..., 68.41379114,\n",
            "       64.48539029, 63.78304275]), array([69.32588186, 71.5428329 , 69.5666933 , ..., 58.12602402,\n",
            "       65.23410167, 62.19602038]), array([66.52949335, 63.03426018, 67.10996621, ..., 67.51032152,\n",
            "       72.70722408, 73.12626719]), array([64.64221807, 61.93800599, 66.99014053, ..., 68.68590304,\n",
            "       61.83565238, 64.55639843]), array([60.99463873, 66.07817867, 70.23598436, ..., 64.80530289,\n",
            "       57.07265625, 64.1303411 ]), array([72.11864675, 70.50592738, 66.77367475, ..., 61.22580477,\n",
            "       71.52691556, 64.68669106]), array([68.48641203, 61.78961197, 68.42316708, ..., 65.16767392,\n",
            "       58.44507284, 61.63063584]), array([62.36929577, 66.68774223, 68.14307845, ..., 67.35327101,\n",
            "       71.43986985, 63.86681491]), array([71.58327164, 68.27104991, 62.41658674, ..., 70.91346856,\n",
            "       68.43411936, 66.97694995]), array([66.42865193, 66.34148305, 66.40224967, ..., 64.73064454,\n",
            "       65.96637885, 69.16246988]), array([74.68636681, 67.2019629 , 68.18704909, ..., 72.19748951,\n",
            "       72.06275498, 66.22768493]), array([70.31506637, 63.09964647, 69.67461416, ..., 63.49964734,\n",
            "       68.09887366, 63.33265433]), array([60.69473641, 68.10610907, 72.08851042, ..., 64.79939376,\n",
            "       66.64332297, 59.041198  ]), array([65.84979857, 58.61998063, 71.76036373, ..., 63.09898956,\n",
            "       66.50376237, 59.5129817 ]), array([69.60402665, 66.53174642, 58.70723577, ..., 66.15805366,\n",
            "       67.83760801, 64.67840854]), array([68.70012441, 65.83995075, 62.83086776, ..., 62.21492301,\n",
            "       64.40699642, 66.88781934]), array([62.40406121, 58.10966317, 67.44508051, ..., 67.92638532,\n",
            "       65.08416738, 64.85351318]), array([67.51135804, 66.620926  , 71.02654346, ..., 68.86875033,\n",
            "       70.43570141, 69.08579382]), array([68.23874539, 66.06648919, 64.23991228, ..., 62.11903926,\n",
            "       60.82027054, 65.22690075]), array([68.19879582, 66.42598313, 65.92284313, ..., 69.7032216 ,\n",
            "       62.33256282, 64.81500852]), array([68.17489212, 61.27834937, 65.49759091, ..., 64.85997324,\n",
            "       67.51869267, 70.54369293]), array([62.63845663, 66.57488673, 62.20882862, ..., 62.32308708,\n",
            "       67.28573328, 62.45712438]), array([61.82336812, 70.95804927, 73.42450966, ..., 69.04314598,\n",
            "       63.52053275, 60.14585614]), array([64.4893424 , 64.44600367, 62.19169744, ..., 62.89283084,\n",
            "       72.33756922, 60.33417128]), array([61.72454056, 66.21731487, 62.59427026, ..., 67.11570303,\n",
            "       68.79298442, 68.84021056]), array([67.5109499 , 59.8648914 , 63.91326022, ..., 65.16767392,\n",
            "       63.78966441, 63.45085774]), array([68.09887366, 69.59482623, 67.36679527, ..., 69.62291705,\n",
            "       63.60015169, 69.0014984 ]), array([73.50183962, 77.54718634, 67.62937651, ..., 71.19658688,\n",
            "       61.43239994, 69.75178754]), array([71.63697357, 67.92331063, 63.85067839, ..., 61.22309514,\n",
            "       68.17049466, 68.27104991]), array([60.13284892, 71.94778826, 64.84723373, ..., 66.19059084,\n",
            "       71.67843022, 67.2317042 ]), array([68.4078482 , 62.20596414, 63.97580043, ..., 63.3906337 ,\n",
            "       70.35616623, 68.96121634]), array([68.89341765, 67.52432756, 65.51390658, ..., 63.6358284 ,\n",
            "       60.2705739 , 60.1414416 ]), array([67.01471757, 64.63749296, 64.8180778 , ..., 66.82866646,\n",
            "       64.96331257, 67.29725385]), array([62.61769   , 68.42316708, 60.62018128, ..., 66.08468413,\n",
            "       68.27902252, 68.22960383]), array([66.1685183 , 64.86827183, 64.50713957, ..., 70.36513772,\n",
            "       68.31711986, 68.01728087]), array([69.74653076, 69.69656676, 69.71655373, ..., 67.73061112,\n",
            "       62.59972824, 68.78471701]), array([60.6742784 , 71.93849595, 71.00356014, ..., 64.57928925,\n",
            "       62.68627592, 61.98496931]), array([64.75539308, 69.12951212, 70.81126171, ..., 63.57711788,\n",
            "       63.29271228, 68.51552345]), array([70.22492333, 68.71141787, 65.55379701, ..., 66.7224388 ,\n",
            "       69.12602234, 71.49614024]), array([67.41204603, 65.17694712, 62.07171519, ..., 64.65579525,\n",
            "       62.12748011, 65.97857729]), array([69.25077579, 67.54556979, 61.94547679, ..., 63.28198785,\n",
            "       65.3374525 , 62.42696121]), array([67.72149217, 69.43201946, 70.25484698, ..., 65.11387613,\n",
            "       60.85962004, 64.74244457]), array([65.50482269, 65.81717356, 63.58027647, ..., 71.52821604,\n",
            "       69.07127141, 70.4044365 ]), array([63.27892843, 71.05336754, 69.21387398, ..., 69.05138548,\n",
            "       66.25215051, 62.42142878]), array([63.95357368, 64.98085002, 62.32104323, ..., 73.42450966,\n",
            "       62.64421696, 64.96377239]), array([57.83726895, 72.06737999, 64.16084714, ..., 68.1940929 ,\n",
            "       67.98597514, 63.07519761]), array([72.11910358, 62.54391729, 69.79845688, ..., 69.98234409,\n",
            "       68.41011722, 61.89470314]), array([67.52432756, 66.69311562, 65.05737312, ..., 66.44229183,\n",
            "       67.26886221, 66.13417537]), array([60.3497184 , 70.37860781, 61.83143986, ..., 72.58737482,\n",
            "       66.32521562, 67.6456197 ]), array([74.32567701, 66.38286997, 70.01950469, ..., 63.03426018,\n",
            "       68.64032508, 66.63825331]), array([63.86805994, 65.15507988, 67.42985418, ..., 63.86417351,\n",
            "       61.65083302, 68.68566293]), array([69.63452662, 60.98098369, 65.94647155, ..., 69.50932394,\n",
            "       63.24925294, 64.4493419 ]), array([60.83468117, 64.0309571 , 64.89435389, ..., 66.7379274 ,\n",
            "       66.22232873, 61.55136664]), array([70.23272595, 66.6869927 , 65.08812137, ..., 66.31226113,\n",
            "       67.01943436, 64.53373761]), array([64.43523315, 67.19210259, 65.54030251, ..., 73.78663644,\n",
            "       62.68792804, 68.13972419]), array([64.85351318, 58.98057425, 67.6194866 , ..., 67.05399437,\n",
            "       66.56010463, 68.14059036]), array([69.28592141, 69.82748779, 64.02695976, ..., 67.03886523,\n",
            "       64.18745727, 66.43368365]), array([64.9149323 , 68.2692742 , 62.19333659, ..., 68.05983891,\n",
            "       62.73718902, 70.28027169]), array([62.90983968, 62.08882609, 69.46082632, ..., 66.94630104,\n",
            "       70.40231926, 69.76784563]), array([63.9288492 , 64.62329203, 60.67485615, ..., 62.93504795,\n",
            "       67.41375013, 70.18784931]), array([74.02986882, 63.45649398, 68.46516344, ..., 60.90701533,\n",
            "       68.01728087, 63.82081867]), array([70.9497701 , 70.05300801, 67.38418062, ..., 70.49052137,\n",
            "       63.76623697, 68.59765932]), array([67.11787407, 61.53194522, 67.23077189, ..., 64.78555122,\n",
            "       64.0414419 , 65.708496  ]), array([61.26695925, 62.41476836, 67.56494159, ..., 72.26832264,\n",
            "       59.78676291, 70.03048877]), array([57.79853105, 61.12204546, 66.46574173, ..., 65.11850428,\n",
            "       74.35044373, 70.94422976]), array([70.55680387, 63.10434746, 62.10975704, ..., 66.40871891,\n",
            "       63.71596998, 74.15306451]), array([64.11049888, 69.16398887, 62.86162792, ..., 60.96626408,\n",
            "       68.10362648, 70.40351683]), array([68.4994407 , 58.51016063, 63.05900916, ..., 70.24286617,\n",
            "       66.15189286, 68.2152298 ]), array([69.67418277, 73.97227802, 61.50910635, ..., 65.21579226,\n",
            "       61.79265733, 68.31690564]), array([70.46566325, 58.30103474, 62.53713921, ..., 71.30785222,\n",
            "       61.59445094, 66.96626801]), array([71.01573094, 70.54927972, 63.45886   , ..., 71.30122283,\n",
            "       67.58394143, 68.73525452]), array([70.45629855, 65.11850428, 73.52231093, ..., 71.81390356,\n",
            "       72.96222705, 61.30736776]), array([71.16724587, 68.50319151, 64.31050918, ..., 66.16646523,\n",
            "       69.18008131, 67.39601985]), array([61.49522812, 76.02134748, 63.23741266, ..., 65.91364224,\n",
            "       64.00783813, 67.52463932]), array([59.93940471, 73.29535059, 64.72162222, ..., 64.84630137,\n",
            "       63.17474158, 76.71998493]), array([61.13064492, 68.37126964, 66.26282004, ..., 65.37784904,\n",
            "       61.57768726, 66.87828609]), array([74.82494531, 62.19217636, 67.65294548, ..., 67.11044742,\n",
            "       67.3093047 , 64.03600875]), array([67.65252997, 65.6364896 , 62.78856853, ..., 71.69276566,\n",
            "       61.33451019, 65.28601781]), array([69.90942164, 72.34158877, 67.564457  , ..., 66.75286629,\n",
            "       65.63599729, 66.75855721]), array([60.85899001, 69.21363249, 69.69174305, ..., 65.85604302,\n",
            "       71.15953593, 66.92154402]), array([71.77872893, 60.0052569 , 68.72024318, ..., 59.09825003,\n",
            "       70.71371409, 67.07126277]), array([65.1908596 , 69.49605945, 68.36045624, ..., 71.472998  ,\n",
            "       62.8392446 , 65.0021318 ]), array([70.28873874, 71.23093151, 69.219568  , ..., 61.62734724,\n",
            "       68.40086738, 58.99638936]), array([66.70347964, 71.19658688, 72.04204314, ..., 64.17227736,\n",
            "       72.17530912, 65.97607497]), array([73.29458372, 63.1773988 , 61.40753252, ..., 70.27258232,\n",
            "       59.4056541 , 63.01827413]), array([70.80155896, 65.15959022, 67.7782298 , ..., 58.96406899,\n",
            "       68.68893071, 71.61388605]), array([66.88975886, 70.24286617, 60.38849386, ..., 69.55887982,\n",
            "       73.28391797, 67.8417924 ]), array([71.61647581, 62.67409439, 65.83165439, ..., 66.25651392,\n",
            "       63.9165972 , 69.59810682]), array([69.86143908, 71.46918497, 65.69282981, ..., 67.68321858,\n",
            "       69.77066855, 62.02298967]), array([69.03049142, 72.42276135, 67.96918683, ..., 72.12375124,\n",
            "       67.04323424, 66.92154402]), array([63.06759488, 69.75178754, 71.83446614, ..., 65.54251432,\n",
            "       69.57833002, 65.47109105]), array([72.75521439, 68.9253586 , 61.81505435, ..., 74.02575081,\n",
            "       59.23919876, 63.75082807]), array([63.17565499, 62.09875715, 73.62167715, ..., 60.6342463 ,\n",
            "       63.87242513, 66.53339272]), array([65.00141316, 72.41697292, 67.86273824, ..., 67.91531408,\n",
            "       68.1679352 , 74.44660762]), array([69.08211963, 70.29481492, 64.7055578 , ..., 60.04077935,\n",
            "       61.66262811, 68.10111341]), array([65.45487455, 65.80460587, 67.2774973 , ..., 69.21041304,\n",
            "       61.89316687, 64.17427906]), array([71.96959796, 67.25038326, 66.76546742, ..., 65.49899512,\n",
            "       64.12569658, 64.6190906 ]), array([64.43737535, 67.51839902, 61.59336217, ..., 64.33079481,\n",
            "       66.04039808, 62.47225794]), array([67.61638297, 66.25308603, 69.96988584, ..., 64.79045114,\n",
            "       64.85997324, 63.19996482]), array([70.65443879, 71.89066467, 68.28453192, ..., 61.10881895,\n",
            "       63.08248579, 70.29481492]), array([69.01229925, 68.15658922, 67.19207608, ..., 70.41995611,\n",
            "       66.358956  , 71.45613951]), array([69.97430087, 60.7862999 , 70.43570141, ..., 69.08057727,\n",
            "       63.7870504 , 73.6851934 ]), array([70.59838073, 60.7862999 , 62.90614492, ..., 67.84136251,\n",
            "       67.52111716, 63.66468751]), array([59.30778715, 64.26465798, 64.89346302, ..., 69.93858695,\n",
            "       74.34848515, 64.55303734]), array([69.58595624, 69.00738999, 65.39052258, ..., 69.56915521,\n",
            "       68.99510717, 63.27589919]), array([67.39602078, 61.59336217, 63.21668627, ..., 67.38506486,\n",
            "       68.60285621, 70.48162382]), array([68.74134888, 62.80406817, 71.94240892, ..., 63.37145896,\n",
            "       62.93504795, 69.76784563]), array([63.95732094, 66.1109809 , 69.95246683, ..., 73.18794911,\n",
            "       71.81610581, 63.73284708]), array([75.03841151, 69.89303775, 71.69714179, ..., 68.30937446,\n",
            "       69.47560828, 61.49522812]), array([67.67287524, 73.22307094, 65.20355161, ..., 66.6464041 ,\n",
            "       62.95222847, 68.3768267 ]), array([74.32567701, 64.25738938, 66.72991606, ..., 69.92222458,\n",
            "       62.86162792, 68.23194853]), array([61.83565238, 68.94985775, 63.53958384, ..., 65.85563918,\n",
            "       64.23394553, 62.0501442 ]), array([70.9158354 , 64.74751466, 63.5988926 , ..., 72.6596287 ,\n",
            "       64.48937563, 71.59068401]), array([63.73878465, 69.01973611, 69.0395225 , ..., 61.54253256,\n",
            "       66.13260527, 62.02010486]), array([63.74039892, 69.80481696, 61.64321218, ..., 71.18938408,\n",
            "       71.40971655, 62.62233713]), array([64.7847326 , 58.22539702, 66.67560706, ..., 65.66564956,\n",
            "       66.30910094, 65.47109105]), array([66.9504806 , 67.69712341, 66.26765677, ..., 62.73483929,\n",
            "       70.03504268, 71.64441882]), array([66.0297085 , 60.845512  , 65.79677819, ..., 62.32092057,\n",
            "       59.63281599, 63.03744961]), array([66.0745536 , 63.91961642, 69.44230008, ..., 67.99840926,\n",
            "       58.59722547, 67.63532327]), array([66.37461836, 65.80484728, 66.69616281, ..., 64.0956334 ,\n",
            "       70.39854359, 61.6868957 ]), array([69.93740019, 64.57439511, 67.09858325, ..., 62.57932337,\n",
            "       62.77453234, 69.1330814 ]), array([66.66709852, 61.93471607, 67.33256617, ..., 63.11288889,\n",
            "       60.50431592, 68.89083891]), array([64.72725696, 64.25565424, 63.67961802, ..., 64.12314824,\n",
            "       64.71762461, 64.02695976]), array([65.28601781, 74.82494531, 63.3825909 , ..., 66.37841132,\n",
            "       73.0584631 , 64.0906871 ]), array([66.77003947, 71.97789626, 69.32130537, ..., 60.85754286,\n",
            "       66.72049284, 64.23521606]), array([73.49841233, 70.836938  , 67.85653908, ..., 72.41697292,\n",
            "       63.46175898, 73.97251066]), array([68.00680397, 66.77643782, 69.2830701 , ..., 62.92245122,\n",
            "       64.02584244, 61.67481362]), array([63.76911498, 69.28213781, 64.7363556 , ..., 63.67197195,\n",
            "       60.57136411, 66.37021361]), array([69.21041304, 60.52916755, 72.69562419, ..., 66.97683159,\n",
            "       70.40231926, 74.24229314]), array([63.92489232, 72.69525855, 67.25038326, ..., 76.11667468,\n",
            "       64.35534286, 66.32751733]), array([61.71992675, 66.53083504, 59.89492405, ..., 61.8356708 ,\n",
            "       57.35309276, 63.76532831]), array([76.69096273, 71.27332641, 64.1303411 , ..., 61.70629215,\n",
            "       62.35334065, 62.11217359]), array([60.85835314, 70.10478626, 61.96417378, ..., 66.64672098,\n",
            "       71.96301518, 70.00897326]), array([65.62590313, 72.39065722, 68.49081272, ..., 61.10051608,\n",
            "       65.54251432, 69.02891597]), array([72.2895961 , 73.10530709, 64.7625295 , ..., 66.58199851,\n",
            "       62.94800025, 66.20275583]), array([65.64048341, 63.12513643, 73.20802582, ..., 63.49964734,\n",
            "       63.12185883, 67.78879933]), array([64.68669106, 70.12865283, 70.55500396, ..., 71.77420598,\n",
            "       69.95871907, 61.75315958]), array([67.69056208, 72.85963903, 62.2994736 , ..., 64.1200342 ,\n",
            "       62.57608039, 60.03728766]), array([64.64221807, 58.68547139, 64.68020759, ..., 62.85037864,\n",
            "       73.71652763, 68.39148324]), array([61.26649788, 66.27727392, 61.29848462, ..., 69.26342881,\n",
            "       63.8983382 , 65.85496276]), array([62.81777994, 75.99336033, 63.36976449, ..., 69.05138548,\n",
            "       65.23973674, 65.85496276]), array([73.6851934 , 68.13016807, 63.37414261, ..., 62.80721218,\n",
            "       64.43375546, 62.59891336]), array([73.86589046, 63.80725244, 59.52719696, ..., 63.19207539,\n",
            "       64.54224989, 68.52851255]), array([68.69817522, 66.38332   , 66.07219278, ..., 71.6070858 ,\n",
            "       67.83959025, 67.39601985]), array([68.26273943, 65.43459687, 60.56128697, ..., 63.97866126,\n",
            "       68.80593452, 71.92934009]), array([65.87310631, 68.41379114, 60.62849862, ..., 67.03185208,\n",
            "       65.5200758 , 65.31346154]), array([64.86065867, 70.51585969, 63.07700252, ..., 72.86758744,\n",
            "       62.63845663, 66.99014053]), array([66.85497659, 66.59513683, 63.39579332, ..., 67.25284104,\n",
            "       62.64001901, 66.92533618]), array([61.26649788, 70.38774653, 61.62720923, ..., 63.14120887,\n",
            "       60.56852949, 68.63315749]), array([60.12116748, 66.62983432, 62.2415495 , ..., 66.46982094,\n",
            "       65.65170738, 61.5759337 ]), array([72.28040043, 67.51032152, 64.9739192 , ..., 64.68347123,\n",
            "       69.6400599 , 68.00581399]), array([68.67987369, 68.82198029, 67.53917353, ..., 70.56722389,\n",
            "       60.88968151, 67.65294548]), array([73.30186575, 71.35320878, 67.62937651, ..., 62.69468206,\n",
            "       69.56977967, 61.99728009]), array([69.70225751, 65.29243478, 71.42394644, ..., 62.32092057,\n",
            "       65.86151781, 68.91577165]), array([71.42909695, 63.80648172, 70.94683597, ..., 67.29040435,\n",
            "       63.75602373, 70.44802027]), array([64.26368323, 70.56606384, 56.06663635, ..., 62.1999501 ,\n",
            "       68.14476095, 60.96626408]), array([58.84758076, 67.29626802, 70.87946725, ..., 64.7708441 ,\n",
            "       65.9270721 , 60.03728766]), array([72.96588002, 69.26367868, 61.10881895, ..., 65.20335671,\n",
            "       64.6652424 , 64.49042271]), array([66.34235008, 67.18904597, 63.19575635, ..., 65.10205207,\n",
            "       67.86895411, 70.40472368]), array([62.42142878, 66.42974147, 61.07521028, ..., 66.74729313,\n",
            "       66.26282004, 58.98057425]), array([68.36897984, 63.30953931, 69.03424313, ..., 70.81637062,\n",
            "       61.88055794, 67.78938051]), array([63.60601944, 69.50932394, 62.73209196, ..., 65.88013559,\n",
            "       67.77808173, 64.49431817]), array([63.9056158 , 69.43943987, 67.83000134, ..., 61.52060853,\n",
            "       65.75939892, 62.90371922]), array([64.72839015, 72.05959136, 57.74019191, ..., 66.32396557,\n",
            "       68.61880427, 68.18704909]), array([66.56418011, 62.05601189, 66.69035287, ..., 74.26187679,\n",
            "       65.26311424, 69.47458176]), array([64.7447821 , 61.94424588, 61.21119547, ..., 63.13505206,\n",
            "       61.02916079, 71.45193004]), array([69.6062252 , 72.42580597, 69.14590899, ..., 67.22246749,\n",
            "       62.98477041, 65.20007287]), array([63.71493006, 66.39434347, 63.70113971, ..., 63.89752581,\n",
            "       63.4758722 , 60.606544  ]), array([68.51188934, 67.11027101, 71.2529856 , ..., 63.35268712,\n",
            "       68.59195403, 61.30617813]), array([65.013435  , 68.22696925, 64.06295219, ..., 61.06890784,\n",
            "       68.52204945, 60.04077935]), array([63.08074039, 62.54775987, 65.94647155, ..., 60.1414416 ,\n",
            "       62.69332385, 65.1111161 ]), array([69.63593115, 62.4557193 , 64.41152936, ..., 64.50565391,\n",
            "       70.25484698, 67.03198029]), array([65.0422212 , 70.97649076, 69.41066208, ..., 71.63882142,\n",
            "       66.29972587, 72.08703157]), array([64.40859985, 66.35812083, 62.10588417, ..., 66.83876219,\n",
            "       71.85748745, 70.22164729]), array([62.53225328, 58.84758076, 66.06648919, ..., 64.30466015,\n",
            "       70.55512567, 65.49726246]), array([72.18942596, 63.11825358, 66.22625309, ..., 61.773522  ,\n",
            "       72.24774718, 69.28988558]), array([63.61242569, 68.02911514, 64.96195881, ..., 66.5607406 ,\n",
            "       69.48924667, 67.84616021]), array([66.33766058, 69.0557467 , 69.47874412, ..., 66.22768493,\n",
            "       70.54430599, 67.04290303]), array([59.76215649, 63.20958369, 67.41183363, ..., 69.69960377,\n",
            "       62.4947331 , 62.823443  ]), array([68.66078513, 64.94854695, 71.72349062, ..., 71.47610128,\n",
            "       68.52125026, 64.50713957]), array([68.08592074, 61.07521028, 61.78961197, ..., 62.48569113,\n",
            "       65.75280953, 69.33697763]), array([63.92566293, 69.85933144, 65.60410039, ..., 61.89470314,\n",
            "       68.07473589, 63.25134047]), array([65.95957778, 71.98182975, 62.23359829, ..., 66.50381494,\n",
            "       59.6319099 , 63.36976449]), array([61.15698001, 65.31043614, 62.81992317, ..., 66.79214738,\n",
            "       69.12835663, 63.45085774]), array([61.34572458, 72.19723016, 63.25474663, ..., 67.97335037,\n",
            "       62.23359829, 61.14474693]), array([63.27189295, 63.30996928, 67.72149217, ..., 65.15147542,\n",
            "       62.48569113, 68.2807476 ]), array([66.54853956, 70.72429207, 67.13988918, ..., 67.77151502,\n",
            "       67.54906949, 63.23651754]), array([66.13417537, 62.98525348, 73.60836469, ..., 57.16584006,\n",
            "       66.67560706, 74.31989027]), array([60.6892003 , 67.70487821, 66.05763381, ..., 73.54118433,\n",
            "       60.81505943, 62.61528123]), array([69.38748642, 69.49152342, 60.62018128, ..., 74.95506499,\n",
            "       68.94972   , 63.75602373]), array([72.4371504 , 64.61851288, 66.05475125, ..., 64.29800817,\n",
            "       68.78387283, 63.55211992]), array([74.76744684, 64.64806889, 71.43894678, ..., 64.75314121,\n",
            "       62.70103375, 58.3237477 ]), array([71.11908757, 68.53477063, 63.41995464, ..., 66.92826664,\n",
            "       65.52885617, 72.50812038]), array([65.94178819, 61.39920632, 62.64413447, ..., 70.32255001,\n",
            "       69.29273802, 67.74898985]), array([67.36169467, 68.50914917, 63.36976449, ..., 65.9919773 ,\n",
            "       66.69616281, 67.48073671]), array([66.4995499 , 72.13199022, 71.85253726, ..., 65.47664971,\n",
            "       71.05863335, 66.46518404]), array([69.86143908, 69.2844188 , 72.70460442, ..., 63.43683136,\n",
            "       67.53086027, 69.27281261]), array([64.1217767 , 68.13127094, 61.773522  , ..., 69.36856184,\n",
            "       74.81405247, 64.92201119]), array([65.47590249, 59.4474264 , 64.08573883, ..., 63.48570167,\n",
            "       74.09119004, 59.8917058 ]), array([69.68548314, 63.72025952, 61.94552329, ..., 70.08775314,\n",
            "       63.89154217, 69.03575752]), array([65.15943897, 69.74159588, 71.00674868, ..., 68.11567166,\n",
            "       67.88451532, 66.18363456]), array([71.99164339, 68.06637804, 67.63811762, ..., 59.54661182,\n",
            "       72.77160282, 70.87281146]), array([67.26673585, 63.10284972, 62.87930266, ..., 68.2698199 ,\n",
            "       73.73792828, 65.47098965]), array([62.39600495, 67.12988024, 70.96336883, ..., 69.19544122,\n",
            "       66.87187788, 68.6087581 ]), array([59.76169612, 60.58582038, 68.60584729, ..., 67.42648363,\n",
            "       70.72475802, 62.39609426]), array([70.32255001, 72.95489543, 73.00590598, ..., 67.1322639 ,\n",
            "       77.44661995, 69.33034652]), array([60.66750663, 60.02595007, 68.27104991, ..., 64.44509767,\n",
            "       65.49993849, 62.06019925]), array([70.01377974, 56.15945802, 69.46271544, ..., 71.28884387,\n",
            "       61.60178953, 64.70435852]), array([70.45214074, 69.56915521, 72.0893613 , ..., 68.72182448,\n",
            "       68.01174873, 61.78961197]), array([70.51041016, 67.6758559 , 62.19602038, ..., 73.60910652,\n",
            "       58.70631542, 62.63845663]), array([65.44212558, 64.33679259, 68.08254615, ..., 69.71193781,\n",
            "       70.92912508, 72.20120368]), array([71.79438488, 70.43475028, 68.08804896, ..., 63.01325688,\n",
            "       63.79852735, 65.58639873]), array([76.48231871, 62.96852083, 66.06415032, ..., 64.62375871,\n",
            "       70.64319256, 60.21883776]), array([67.824715  , 68.86630221, 65.91497066, ..., 68.48187536,\n",
            "       67.49285386, 58.03741798]), array([70.39854359, 72.79672984, 65.69358887, ..., 63.49964734,\n",
            "       69.20149328, 63.99289908]), array([64.58526339, 70.18595092, 69.54951057, ..., 65.4181192 ,\n",
            "       60.27626216, 69.59810682]), array([62.77304147, 62.78874758, 68.48521351, ..., 62.77304147,\n",
            "       70.85237854, 65.03853205]), array([69.51565854, 64.64261274, 68.89322996, ..., 68.04679597,\n",
            "       63.22168313, 67.76078743]), array([71.20661874, 69.86074638, 62.2438493 , ..., 63.48001009,\n",
            "       63.17884675, 61.37925849]), array([63.85521413, 65.71617654, 70.97649076, ..., 69.79388789,\n",
            "       68.91678848, 71.01794786]), array([63.29022369, 68.28495661, 63.76340311, ..., 64.81501948,\n",
            "       68.68893071, 63.71596998]), array([73.16407985, 76.23936667, 64.01365361, ..., 61.62293621,\n",
            "       62.05498991, 69.16140409]), array([69.14094554, 66.20275583, 71.00189769, ..., 68.50305566,\n",
            "       74.70961248, 69.57823897]), array([68.67738441, 65.15943897, 66.13613061, ..., 64.74866445,\n",
            "       63.69488232, 70.93325026]), array([66.64332297, 71.62309757, 71.25241746, ..., 69.67481848,\n",
            "       73.36289218, 65.22709704]), array([67.11044742, 67.40902587, 68.52705806, ..., 67.32685004,\n",
            "       65.39918209, 59.54889462]), array([62.19386263, 74.79537502, 72.16236709, ..., 71.40146573,\n",
            "       63.11305768, 67.21296416]), array([66.21507326, 63.22282474, 64.36248027, ..., 65.53746312,\n",
            "       69.49605945, 69.78016415]), array([67.17976088, 58.8616251 , 75.26320153, ..., 69.81272464,\n",
            "       66.72468017, 63.97034122]), array([63.16864837, 65.33201383, 71.9548678 , ..., 66.03699065,\n",
            "       67.65221895, 59.91307099]), array([63.30959493, 69.99428992, 64.53903978, ..., 63.1152675 ,\n",
            "       65.25368855, 72.19290998]), array([67.01894966, 71.71587   , 69.30812678, ..., 63.84604832,\n",
            "       71.23391139, 65.50869485]), array([70.25426107, 62.31153318, 66.24499095, ..., 65.80655692,\n",
            "       69.26202914, 67.54666331]), array([65.41908149, 63.16864837, 62.23311401, ..., 72.4371504 ,\n",
            "       63.85810766, 62.06942481]), array([70.70807508, 67.08678122, 64.17375789, ..., 63.3503419 ,\n",
            "       67.14350957, 64.0729203 ]), array([57.85111519, 72.14585181, 68.27884184, ..., 65.06596586,\n",
            "       69.82844926, 67.40852785]), array([71.81390356, 68.50610095, 69.56934704, ..., 62.19169744,\n",
            "       72.81390651, 61.15798325]), array([68.15546647, 63.6322646 , 66.92343676, ..., 67.36664012,\n",
            "       70.40351683, 66.24696574]), array([64.11642853, 59.4056541 , 69.03077173, ..., 71.57119416,\n",
            "       65.52885655, 67.94518308]), array([63.91443166, 61.84938402, 63.96199431, ..., 64.22635542,\n",
            "       65.09493212, 62.57219547]), array([69.6329393 , 69.04386662, 63.82605461, ..., 69.93619073,\n",
            "       74.46498854, 67.90676328]), array([73.04959537, 70.83911627, 67.25995282, ..., 73.07197695,\n",
            "       62.83091941, 67.53602809]), array([63.32285136, 68.41482047, 60.64710531, ..., 69.41611942,\n",
            "       62.09972874, 67.99840926]), array([71.42757519, 66.06474261, 64.16787074, ..., 68.17919768,\n",
            "       69.99009839, 64.4369965 ]), array([75.694314  , 65.95375622, 67.78453796, ..., 69.73112843,\n",
            "       62.31153318, 68.37757989]), array([70.796979  , 64.36619403, 65.42024381, ..., 58.84758076,\n",
            "       65.002512  , 70.25225274]), array([65.41908149, 67.53354038, 63.51785871, ..., 65.85563918,\n",
            "       67.3967832 , 60.8862532 ]), array([68.56217931, 66.68774223, 58.11787193, ..., 73.03718383,\n",
            "       73.74875102, 61.80240401]), array([69.32711818, 65.39918209, 60.79827083, ..., 60.24335877,\n",
            "       62.59891336, 66.69188002]), array([68.67664079, 72.44884667, 63.37904055, ..., 60.98528933,\n",
            "       70.76279566, 63.95395839]), array([68.61863098, 72.43261756, 62.397405  , ..., 63.87340891,\n",
            "       70.86581545, 59.55076633]), array([73.41320642, 63.8600243 , 69.11143665, ..., 67.69143017,\n",
            "       67.03485056, 62.95527375]), array([66.80071892, 65.11387613, 70.9497701 , ..., 64.29326944,\n",
            "       63.71272984, 62.44042695]), array([63.39905083, 67.07907449, 71.60656421, ..., 68.22696925,\n",
            "       69.19043593, 62.7748174 ]), array([66.00806744, 63.14416915, 64.82909933, ..., 59.81504852,\n",
            "       62.23231321, 63.7870504 ]), array([67.60266255, 61.66700337, 67.91967138, ..., 70.4417673 ,\n",
            "       68.96689782, 74.85316362]), array([65.52243347, 70.30977776, 67.37249154, ..., 66.75855721,\n",
            "       65.96218724, 71.48344023]), array([71.39146448, 71.21207602, 61.21783686, ..., 60.2437181 ,\n",
            "       59.47485209, 65.48360618]), array([63.74076247, 65.45395717, 74.34848515, ..., 68.26710321,\n",
            "       65.99646426, 64.18605215]), array([71.11617663, 68.90409885, 66.31757277, ..., 65.47664971,\n",
            "       61.99190969, 68.06148727]), array([58.55851252, 70.87281146, 70.6036802 , ..., 63.4229332 ,\n",
            "       64.44509767, 67.66042305]), array([70.66486477, 60.78688352, 61.53011039, ..., 62.98392994,\n",
            "       65.53179963, 67.9129871 ]), array([67.75797031, 63.39385112, 66.42394365, ..., 68.66078513,\n",
            "       71.33434891, 62.98392994]), array([64.51206408, 65.38656672, 71.60656421, ..., 63.99167687,\n",
            "       64.18745727, 63.80413136]), array([68.57354246, 66.18553813, 63.80804954, ..., 68.16583681,\n",
            "       69.34749201, 61.50918854]), array([73.23678822, 67.96301617, 60.55212552, ..., 65.53155383,\n",
            "       68.22696925, 63.60015169]), array([59.76169612, 68.9505703 , 70.54927972, ..., 65.28205443,\n",
            "       68.54089462, 68.01174873]), array([62.14024497, 62.21859931, 70.35969056, ..., 67.55419805,\n",
            "       68.12757693, 67.03115624]), array([63.22190719, 68.11603942, 70.225252  , ..., 67.57873926,\n",
            "       68.9039419 , 71.52704769]), array([66.08468413, 66.50028416, 70.42118366, ..., 66.32414134,\n",
            "       68.41011722, 68.34236491]), array([66.50289891, 69.78963253, 70.41386903, ..., 60.69228685,\n",
            "       58.51016063, 66.3401    ]), array([63.52057456, 69.11983055, 62.53423005, ..., 71.4351749 ,\n",
            "       65.35188896, 69.76430086]), array([68.66214422, 67.96856544, 64.92362456, ..., 60.34078108,\n",
            "       62.79049539, 68.57268425]), array([75.81904028, 62.83086776, 66.81442135, ..., 64.19308177,\n",
            "       66.87536305, 63.96199431]), array([59.81653598, 62.73483929, 58.67095297, ..., 66.32521562,\n",
            "       61.09578942, 62.78030163]), array([67.57547281, 66.24696574, 67.58883983, ..., 64.72162222,\n",
            "       72.0057094 , 70.65443879]), array([61.6584462 , 65.28301632, 64.69905823, ..., 65.66595856,\n",
            "       64.92242306, 65.74025292]), array([59.10499431, 71.97052605, 71.10345526, ..., 63.4141425 ,\n",
            "       64.65394091, 71.03559542]), array([68.98171886, 69.39964952, 61.81025904, ..., 67.01601084,\n",
            "       62.11751221, 69.84381304]), array([69.53486155, 65.85337582, 67.7692942 , ..., 64.35826355,\n",
            "       72.39448041, 71.54781867]), array([55.14855736, 70.56945509, 73.10634428, ..., 64.40193458,\n",
            "       70.12865283, 68.47458526]), array([58.59722547, 67.38410177, 64.08940647, ..., 65.50869485,\n",
            "       65.37398281, 67.6666641 ]), array([68.92357386, 69.01021935, 71.28033023, ..., 76.56927352,\n",
            "       65.51073389, 76.86685496]), array([72.57112137, 62.77453234, 65.48867132, ..., 65.32277079,\n",
            "       67.12697725, 63.08417104]), array([63.61281112, 61.73773496, 66.12867317, ..., 65.07557381,\n",
            "       68.34236491, 72.90681755]), array([65.97857729, 60.18343848, 67.68008391, ..., 65.38669083,\n",
            "       66.93820616, 64.47999743]), array([71.76556166, 62.10588417, 67.82109327, ..., 66.66110311,\n",
            "       62.24708076, 64.08718015]), array([60.38028449, 62.06446478, 66.26705648, ..., 69.219568  ,\n",
            "       61.15798325, 69.77015095]), array([63.70136456, 69.35477956, 70.64751415, ..., 66.24759159,\n",
            "       65.09406453, 63.80148415]), array([62.83086776, 66.10896011, 63.56127763, ..., 63.97923307,\n",
            "       67.06830402, 63.44024747]), array([63.47241419, 67.11556435, 68.1151663 , ..., 59.82273531,\n",
            "       59.76289819, 65.91903699]), array([61.83143986, 65.64328105, 62.47577266, ..., 61.01946656,\n",
            "       62.24834635, 62.84080089]), array([65.92284313, 63.33122659, 66.63469102, ..., 62.62598514,\n",
            "       65.75280953, 62.63584402]), array([73.12243321, 59.9682045 , 68.03509529, ..., 68.22960383,\n",
            "       64.3103464 , 67.73892043]), array([68.99565852, 68.70012441, 63.07402723, ..., 71.83446614,\n",
            "       64.60280743, 67.38315251]), array([72.87126261, 62.95222847, 70.93997355, ..., 69.53868436,\n",
            "       68.31918688, 69.23146868]), array([69.01202847, 64.89581901, 64.76236607, ..., 66.4207334 ,\n",
            "       62.93076044, 62.14929576]), array([66.75516321, 67.25589414, 60.33417128, ..., 61.52509112,\n",
            "       71.84327864, 69.07449203]), array([64.20651603, 61.47093776, 58.97212383, ..., 65.06903435,\n",
            "       72.14585181, 64.7319256 ]), array([67.55930056, 58.85839773, 61.77369396, ..., 66.67560706,\n",
            "       61.70885444, 71.24291865]), array([62.25083973, 58.75737097, 70.03711499, ..., 60.65373317,\n",
            "       72.70460442, 64.59445871]), array([63.63948265, 64.83135951, 66.8231542 , ..., 62.98392994,\n",
            "       68.19879582, 68.96087967]), array([68.7489067 , 67.30340544, 72.3106346 , ..., 67.29028294,\n",
            "       68.93867924, 68.29162452]), array([70.88614442, 67.30657484, 63.30953931, ..., 70.796979  ,\n",
            "       67.24606495, 62.45708954]), array([67.36169467, 70.45214074, 63.70113971, ..., 62.09985424,\n",
            "       65.70477385, 61.81138823]), array([63.2731515 , 68.18534938, 65.83072572, ..., 70.86380037,\n",
            "       67.16447304, 71.19831618]), array([63.46531297, 63.89752581, 66.93820616, ..., 67.2317042 ,\n",
            "       64.05697554, 70.71093836]), array([67.34269071, 66.21731487, 71.04782378, ..., 63.80804954,\n",
            "       65.9466743 , 70.54924202]), array([63.89154217, 65.28274066, 63.93180404, ..., 65.6823646 ,\n",
            "       70.33271525, 66.21466375]), array([61.52958346, 63.73237421, 71.10424776, ..., 68.36201272,\n",
            "       68.17630646, 68.46572392]), array([65.20734666, 72.49739057, 65.26460446, ..., 71.63540703,\n",
            "       71.23093151, 65.07596693]), array([69.33829795, 62.86732186, 57.35309276, ..., 68.93179524,\n",
            "       61.52876786, 58.63272047]), array([56.73718347, 64.30019583, 67.71742749, ..., 70.75201202,\n",
            "       66.2048299 , 67.90684975]), array([66.23444739, 75.18126086, 61.77436603, ..., 69.63593115,\n",
            "       62.776409  , 59.41674322]), array([67.25995282, 66.39230649, 62.04964451, ..., 70.47416139,\n",
            "       70.47219506, 61.97212119]), array([70.4320483 , 72.86758744, 68.0993798 , ..., 71.61500072,\n",
            "       69.15719151, 61.43925091]), array([64.26465798, 69.35188979, 63.4440555 , ..., 62.39609426,\n",
            "       67.94562981, 66.18398071]), array([62.05967955, 70.46431845, 63.17859731, ..., 64.42902169,\n",
            "       67.04611688, 64.97071847]), array([64.6190906 , 62.33551382, 68.19608778, ..., 61.94678271,\n",
            "       65.17694712, 72.19914286]), array([73.23678822, 70.66886319, 65.78672302, ..., 65.30241061,\n",
            "       61.72454056, 62.86956627]), array([64.93134219, 68.30888615, 67.57597105, ..., 71.56797976,\n",
            "       65.94647155, 62.19333659]), array([70.10664086, 64.84723373, 63.7251435 , ..., 70.68624745,\n",
            "       69.39489622, 72.44289921]), array([66.57823462, 72.43632383, 70.96655044, ..., 61.81298502,\n",
            "       60.81492666, 63.52053275]), array([68.10167408, 59.83026358, 61.5759337 , ..., 58.9265027 ,\n",
            "       70.11434363, 66.70567332]), array([65.54483281, 64.83380413, 68.54184169, ..., 67.18845052,\n",
            "       61.25757265, 69.51564045]), array([63.38904101, 65.06009534, 61.70957103, ..., 71.09427331,\n",
            "       70.23272595, 65.88856559]), array([64.24834298, 63.08615886, 61.83709682, ..., 69.43402914,\n",
            "       63.85301196, 66.56671228]), array([59.90854467, 63.91369476, 64.26471448, ..., 68.65021796,\n",
            "       71.44719367, 69.3804995 ]), array([72.19914286, 62.92004949, 66.36590225, ..., 63.36976449,\n",
            "       71.41954174, 68.82933377]), array([61.62105661, 73.70602717, 71.80366854, ..., 69.68984844,\n",
            "       66.99094408, 61.67320486]), array([65.23973674, 59.045531  , 72.73629299, ..., 65.37485534,\n",
            "       67.04323424, 69.8222337 ]), array([64.17227736, 70.17260936, 59.9976946 , ..., 66.79214738,\n",
            "       66.22926003, 65.90904654]), array([65.4808581 , 65.28494604, 59.44775771, ..., 66.46921907,\n",
            "       71.23093151, 65.87787498]), array([61.86092378, 63.48763708, 62.02735749, ..., 65.67426756,\n",
            "       62.78427635, 63.78511722]), array([66.57798671, 60.57920806, 63.15427226, ..., 59.24291638,\n",
            "       73.61497159, 68.3606064 ]), array([64.63663123, 69.8442052 , 70.67274718, ..., 62.43242625,\n",
            "       69.21277722, 68.93769671]), array([71.46975833, 73.61198537, 70.13694723, ..., 63.48668091,\n",
            "       58.08709515, 65.33505185]), array([67.00355583, 64.52899794, 65.30726213, ..., 69.13003825,\n",
            "       67.74290144, 61.92369767]), array([66.04426807, 63.50479854, 67.17791659, ..., 68.23588615,\n",
            "       60.66988645, 71.61388605]), array([61.92651491, 66.11415561, 64.56610758, ..., 66.29642277,\n",
            "       63.74809374, 63.67961802]), array([66.25215051, 72.00252037, 70.67291067, ..., 63.62976013,\n",
            "       68.74364712, 60.70959173]), array([59.76169612, 56.85608213, 62.37541849, ..., 59.74227958,\n",
            "       74.95506499, 72.08020115]), array([66.46574173, 65.95284076, 65.14361589, ..., 68.88689528,\n",
            "       68.91960352, 62.07783169]), array([69.08270299, 69.69656676, 70.69889553, ..., 64.27077207,\n",
            "       64.83380413, 66.94719805]), array([69.55200509, 63.06248777, 72.21015322, ..., 64.35826355,\n",
            "       65.62642612, 69.96821619]), array([66.48159749, 68.31247832, 68.00260444, ..., 71.66933582,\n",
            "       60.9794599 , 75.03841151]), array([69.83697663, 62.776409  , 66.31384436, ..., 56.10536959,\n",
            "       62.25083973, 63.64259668]), array([61.56592442, 70.78628981, 67.08678122, ..., 64.65579525,\n",
            "       72.67696109, 70.95959104]), array([69.41291443, 69.86888284, 62.81735396, ..., 56.97527896,\n",
            "       65.04972037, 63.4229332 ]), array([68.83232712, 65.38669083, 71.38602219, ..., 63.57898233,\n",
            "       67.11027101, 65.01138054]), array([69.96821619, 70.48268138, 69.66711517, ..., 68.19301172,\n",
            "       68.60584729, 67.3208245 ]), array([69.46624981, 62.12748011, 65.65597058, ..., 62.37965119,\n",
            "       65.40922663, 68.73525452]), array([64.63019976, 66.89273656, 62.07863519, ..., 65.41328069,\n",
            "       69.29593206, 58.76191669]), array([67.44471908, 59.26630324, 63.12804299, ..., 66.77367475,\n",
            "       66.99586413, 70.95699006]), array([62.23311401, 69.6329393 , 72.00576607, ..., 70.89388978,\n",
            "       65.95375622, 64.54716626]), array([74.58346132, 69.67261869, 72.72060324, ..., 60.83768666,\n",
            "       68.41565126, 67.88200094]), array([60.4007145 , 66.35290827, 73.10634428, ..., 60.21339537,\n",
            "       68.48270751, 74.15306451]), array([67.46228603, 65.4601014 , 70.43386716, ..., 62.85037864,\n",
            "       68.10362648, 62.34460773]), array([68.09621975, 73.24935723, 68.61863098, ..., 72.49958356,\n",
            "       63.91443166, 65.50869485]), array([67.88210517, 61.67152889, 69.57720237, ..., 60.28059756,\n",
            "       67.51937215, 72.19748951]), array([72.25911519, 67.18004528, 58.73842886, ..., 69.00783124,\n",
            "       69.14577478, 68.6213425 ]), array([67.116259  , 73.48729547, 66.90883737, ..., 67.8170758 ,\n",
            "       63.03424034, 68.41437934]), array([63.15852253, 64.02695976, 72.3106346 , ..., 63.54524543,\n",
            "       64.6402473 , 62.68792804]), array([70.5240492 , 61.95589797, 69.48171427, ..., 58.50382088,\n",
            "       73.03009203, 60.03061012]), array([69.60588259, 74.06743152, 67.49301159, ..., 65.49759091,\n",
            "       69.66581872, 65.3353335 ]), array([62.09291525, 62.37258696, 65.07596693, ..., 70.76279566,\n",
            "       74.11010539, 65.90474446]), array([61.43239994, 66.0943193 , 68.91629283, ..., 70.6036802 ,\n",
            "       62.35637147, 65.01708725]), array([63.25764228, 66.34274252, 68.73525452, ..., 72.27951671,\n",
            "       65.91497066, 61.98753047]), array([65.52457692, 64.76122573, 67.25284104, ..., 74.84287462,\n",
            "       73.45960996, 65.97904809]), array([66.81925072, 71.35821063, 66.71937696, ..., 69.04386662,\n",
            "       67.58394143, 70.94711392]), array([68.38330719, 65.53069597, 60.8155622 , ..., 66.20571522,\n",
            "       70.86876641, 68.99207862]), array([72.2299021 , 71.96959796, 64.94538454, ..., 63.4680885 ,\n",
            "       69.96481063, 58.9265027 ]), array([60.88487337, 71.42288707, 66.23643729, ..., 60.83549944,\n",
            "       61.35111385, 65.64262176]), array([62.61527991, 67.21839415, 69.64038156, ..., 71.45232654,\n",
            "       66.48189529, 67.11027101]), array([60.0052569 , 70.09493507, 65.05658853, ..., 61.9098022 ,\n",
            "       63.21875893, 61.66768853]), array([74.0407799 , 63.56876019, 64.30466015, ..., 71.88718416,\n",
            "       72.153511  , 67.90442161]), array([71.76174731, 62.19590817, 62.16641239, ..., 67.13344429,\n",
            "       64.31050918, 70.87479153]), array([68.12276836, 62.04831857, 69.7032216 , ..., 68.96121634,\n",
            "       59.48142007, 69.33034652]), array([60.00065715, 72.28040043, 71.18238327, ..., 66.77872373,\n",
            "       62.10588417, 60.38849386]), array([65.73996121, 66.68375106, 59.23919876, ..., 61.08382684,\n",
            "       62.07863519, 70.54369293]), array([67.42890822, 64.83380413, 73.81538569, ..., 67.89565929,\n",
            "       71.23093151, 61.82564512]), array([69.06413056, 71.52900148, 65.89938698, ..., 62.24630399,\n",
            "       71.3870199 , 72.44289921]), array([67.21839415, 64.82960496, 67.73892043, ..., 64.62829474,\n",
            "       64.52730263, 68.15278305]), array([65.75454762, 69.83865708, 71.00356014, ..., 69.05507084,\n",
            "       64.52899794, 64.09161305]), array([66.07110689, 70.28027169, 62.59427026, ..., 68.55083219,\n",
            "       63.53146319, 66.44921828]), array([72.42977095, 63.52295503, 63.85810766, ..., 64.32570529,\n",
            "       67.30338623, 66.45689878]), array([61.27477347, 62.94719725, 66.15189286, ..., 62.26413516,\n",
            "       62.11606033, 60.66416823]), array([71.36589596, 60.27626216, 59.34746823, ..., 61.49434224,\n",
            "       65.62990179, 65.34376918]), array([68.73298815, 58.43591757, 61.75934133, ..., 72.16154497,\n",
            "       63.7929135 , 62.12665483]), array([60.91002427, 70.94683597, 69.11765738, ..., 66.11122914,\n",
            "       62.89841407, 65.28601781]), array([75.82446334, 72.75805404, 73.57328408, ..., 61.81138823,\n",
            "       66.7379274 , 61.52887955]), array([61.21119547, 63.50469486, 57.55275371, ..., 60.66988645,\n",
            "       63.93936353, 63.37101299]), array([58.75248911, 74.31989027, 63.17474158, ..., 67.53602809,\n",
            "       59.25272547, 63.79052863]), array([73.18104362, 69.57657185, 59.34746823, ..., 67.01894966,\n",
            "       61.38769005, 68.76864464]), array([61.88281394, 67.65252759, 70.43922148, ..., 73.69685922,\n",
            "       58.96352584, 68.42316708]), array([73.03718383, 72.16575666, 68.07802749, ..., 68.10708731,\n",
            "       66.24516585, 66.85411068]), array([62.2665815 , 63.57898233, 63.94648267, ..., 69.55037638,\n",
            "       62.78673268, 61.894772  ]), array([68.99169059, 62.47225794, 69.75510695, ..., 71.17286856,\n",
            "       64.98085002, 66.04248768]), array([60.44378913, 70.48544817, 64.48402419, ..., 69.08211963,\n",
            "       65.87452069, 69.01606716]), array([69.11804525, 64.00987258, 61.74144776, ..., 58.89247364,\n",
            "       60.18343848, 64.29800817]), array([61.49434224, 64.93426963, 64.67368972, ..., 63.05530147,\n",
            "       66.59215711, 66.62894612]), array([64.3254058 , 65.41833426, 61.95169687, ..., 66.93820616,\n",
            "       72.58802109, 72.9347674 ]), array([63.31981767, 64.4058124 , 65.66451791, ..., 64.70401102,\n",
            "       71.86062465, 70.48574878]), array([64.74244457, 61.93235191, 69.0557467 , ..., 64.36840951,\n",
            "       69.10584625, 68.4840293 ]), array([64.0414419 , 62.23071362, 61.82336812, ..., 66.11007508,\n",
            "       65.20885481, 64.17227736]), array([65.90308782, 66.64452628, 65.79039515, ..., 65.18470087,\n",
            "       72.20120368, 63.76532831]), array([74.76744684, 59.22304441, 59.80953425, ..., 65.65054028,\n",
            "       69.01627479, 61.465306  ]), array([68.16926789, 63.46074617, 65.29416502, ..., 71.97369338,\n",
            "       73.18794911, 63.79048362]), array([63.71115258, 65.65050769, 63.68308288, ..., 61.45527924,\n",
            "       63.15343318, 69.00216528]), array([61.77369396, 60.97203231, 61.55252841, ..., 71.87871688,\n",
            "       64.03231884, 61.41451085]), array([65.61561163, 68.93958288, 71.6022308 , ..., 69.11143665,\n",
            "       60.21701856, 67.80567987]), array([69.94425057, 67.360824  , 67.55322843, ..., 70.28858236,\n",
            "       67.19815896, 65.43536089]), array([65.15809051, 65.8652442 , 65.98207856, ..., 69.76784563,\n",
            "       67.12613559, 64.76883328]), array([69.80157523, 66.75521912, 67.76942756, ..., 63.06073505,\n",
            "       66.21297988, 68.07384912]), array([66.88824948, 65.66451791, 63.70113971, ..., 60.85930919,\n",
            "       60.73185683, 70.41995611]), array([63.06820292, 60.72515322, 67.88055919, ..., 65.29138395,\n",
            "       60.12149408, 65.57577154]), array([68.12378181, 62.72302427, 69.97430087, ..., 59.86807793,\n",
            "       69.43562471, 69.2854625 ]), array([69.47098738, 73.52598433, 67.52289087, ..., 73.1411551 ,\n",
            "       69.07131434, 66.33765762]), array([71.14104788, 66.12449617, 71.00194477, ..., 70.48268138,\n",
            "       63.13886174, 65.24316223]), array([67.40995954, 69.19026386, 73.75955023, ..., 73.9953112 ,\n",
            "       61.81298502, 71.18791145]), array([62.81777994, 64.5392602 , 63.49209925, ..., 61.8903595 ,\n",
            "       62.73045911, 75.04448619]), array([70.57681413, 64.71719008, 65.36153819, ..., 66.68582515,\n",
            "       62.42811447, 70.09411691]), array([69.8416671 , 67.40540788, 70.53187611, ..., 64.70671644,\n",
            "       63.91443166, 60.5804207 ]), array([62.16860399, 66.32751733, 63.59645542, ..., 64.04262473,\n",
            "       61.32334679, 63.26397712]), array([58.62225448, 65.28494604, 60.79854323, ..., 65.23591282,\n",
            "       62.50289984, 61.99728009]), array([65.05338257, 67.89319634, 72.79080648, ..., 69.07281082,\n",
            "       66.55979641, 65.06514463]), array([70.74308255, 67.426016  , 65.73854743, ..., 69.37184333,\n",
            "       63.10998871, 63.82206715]), array([68.86006247, 63.97034122, 66.51734475, ..., 60.02674978,\n",
            "       61.99953852, 62.2665918 ]), array([70.50239804, 60.4376929 , 70.41445819, ..., 59.15751916,\n",
            "       74.97695265, 69.5666933 ]), array([63.7929135 , 69.50818174, 73.89531523, ..., 71.56700247,\n",
            "       63.55106972, 62.95111964]), array([66.12449617, 68.37126964, 62.70698974, ..., 67.32482263,\n",
            "       61.45028217, 66.16636328]), array([72.61681633, 65.44827026, 71.36206501, ..., 63.15162935,\n",
            "       71.44719367, 69.97115673]), array([71.3018407 , 69.57909023, 67.39177377, ..., 56.73718347,\n",
            "       67.54556979, 63.17824081]), array([66.5400155 , 73.05634425, 67.49221827, ..., 64.73910085,\n",
            "       67.24822361, 69.26982929]), array([63.12804299, 65.93735194, 67.60064608, ..., 61.56060912,\n",
            "       60.97712325, 65.27999596]), array([68.24594409, 66.07113961, 64.83275222, ..., 72.31126088,\n",
            "       69.81151958, 60.76068868]), array([65.1054427 , 64.28518164, 65.23850675, ..., 63.05900916,\n",
            "       74.22117488, 68.45789401]), array([66.41747192, 72.44521272, 69.47740992, ..., 65.12522054,\n",
            "       73.43395339, 69.11929182]), array([63.4405158 , 69.75963807, 71.5687337 , ..., 66.33765762,\n",
            "       66.69616281, 63.55635371]), array([70.35461686, 55.97919788, 58.47098364, ..., 60.33337239,\n",
            "       65.11015527, 69.84456408]), array([72.30926487, 71.98000945, 59.41310734, ..., 60.44224974,\n",
            "       67.31952013, 63.17884675]), array([67.80901469, 58.10966317, 65.95957778, ..., 65.06012567,\n",
            "       66.24961618, 68.6712874 ]), array([63.08417104, 64.93053007, 72.69562419, ..., 63.27589919,\n",
            "       72.13277787, 60.62639435]), array([64.84664419, 69.00742248, 71.54249121, ..., 64.36336769,\n",
            "       71.61647581, 59.81591064]), array([64.22377558, 66.32446981, 67.44596116, ..., 68.79298442,\n",
            "       65.3374525 , 63.30515902]), array([64.90984533, 65.12595604, 67.44822369, ..., 70.56722389,\n",
            "       65.12522054, 66.13417537]), array([74.02986882, 63.21573488, 64.70895406, ..., 68.30500073,\n",
            "       66.79897653, 61.13064492]), array([70.55500396, 69.19698265, 65.0968767 , ..., 58.96004039,\n",
            "       68.03482178, 61.77241307]), array([58.03217317, 66.65087331, 72.5418967 , ..., 71.32700107,\n",
            "       60.67945691, 65.75454762]), array([71.97052605, 62.02804334, 68.65649173, ..., 68.33344751,\n",
            "       62.2665918 , 63.37809881]), array([69.97090362, 65.84824643, 68.82198029, ..., 66.88996881,\n",
            "       73.4053574 , 64.40979454]), array([67.20410881, 72.38530097, 72.67888504, ..., 62.42811447,\n",
            "       69.79845688, 59.70873056]), array([68.26185551, 64.79101824, 65.42851048, ..., 65.9270721 ,\n",
            "       64.98119598, 67.71387279]), array([66.90478234, 68.89307224, 63.23141733, ..., 67.72801739,\n",
            "       67.85661108, 65.92495931]), array([66.18375813, 74.14110828, 64.47560158, ..., 67.19207608,\n",
            "       63.80725244, 73.84701702]), array([60.98528933, 61.03548988, 57.44256697, ..., 66.67801663,\n",
            "       74.217091  , 60.71819027]), array([66.52826617, 71.36589596, 65.1908596 , ..., 69.29491215,\n",
            "       72.3595    , 65.87234985]), array([64.23446984, 71.83944273, 65.86403447, ..., 68.50781172,\n",
            "       64.00298276, 61.9763097 ]), array([63.03416983, 64.28159841, 64.42902169, ..., 70.9497701 ,\n",
            "       65.97948695, 61.02522498]), array([67.88188946, 61.01946656, 68.46456508, ..., 73.84701702,\n",
            "       65.74773144, 64.58526339]), array([65.39301874, 62.19217636, 64.7784802 , ..., 70.11697013,\n",
            "       68.3606064 , 61.45527924]), array([60.18343848, 64.31196107, 65.3369135 , ..., 65.00879325,\n",
            "       69.08057727, 64.50621045]), array([70.85695017, 62.63325962, 67.1367592 , ..., 72.17530912,\n",
            "       73.52598433, 70.41969377]), array([70.99854621, 65.0785235 , 68.06191397, ..., 69.77791032,\n",
            "       70.46445649, 65.91497066]), array([63.34941636, 61.43468651, 63.24099163, ..., 72.22761616,\n",
            "       61.32442129, 60.83549944]), array([74.29303653, 61.6584462 , 70.19658029, ..., 67.52510042,\n",
            "       69.78150595, 64.3225588 ]), array([65.48867132, 63.36655529, 63.07502417, ..., 65.57925565,\n",
            "       63.95778512, 62.28385569]), array([65.46078494, 76.80634364, 71.83944273, ..., 65.65050769,\n",
            "       60.83768666, 72.55969529]), array([66.63825331, 65.48183179, 68.3844491 , ..., 60.33657937,\n",
            "       56.76445645, 72.19751201]), array([72.45072137, 73.50425938, 58.37198641, ..., 70.32469964,\n",
            "       65.5981805 , 62.47225794]), array([61.30003103, 65.00540618, 64.56700888, ..., 68.09675956,\n",
            "       62.1406892 , 70.88614442]), array([60.69473641, 69.08244535, 63.09898956, ..., 58.91382587,\n",
            "       60.47226197, 71.59068401]), array([65.53069597, 60.66750663, 68.82861496, ..., 69.03077173,\n",
            "       61.21434885, 62.42811447]), array([69.23705155, 63.17153474, 60.91327091, ..., 60.47408833,\n",
            "       71.46918497, 62.90614492]), array([72.90681755, 65.77629426, 70.96598572, ..., 62.33786245,\n",
            "       71.05187344, 69.86119695]), array([63.61781518, 65.40103859, 60.65521774, ..., 69.39964952,\n",
            "       61.304754  , 63.7251435 ]), array([71.6256009 , 73.54118433, 70.06416769, ..., 69.19043593,\n",
            "       62.57349183, 65.04972037]), array([61.41058971, 69.55301238, 72.56422057, ..., 66.99586413,\n",
            "       64.45669446, 65.12073518]), array([73.69568734, 61.99107426, 65.04244709, ..., 60.5520165 ,\n",
            "       69.00153742, 69.02647455]), array([62.3667665 , 63.8983382 , 70.85354963, ..., 69.60127796,\n",
            "       65.7774434 , 65.92358609]), array([66.93834523, 73.20534236, 72.24732475, ..., 62.1284586 ,\n",
            "       64.65394091, 71.41516516]), array([68.00581399, 72.25407145, 67.71742749, ..., 68.47745653,\n",
            "       63.00648017, 68.12899058]), array([71.19831618, 63.65850487, 66.25522505, ..., 60.25229165,\n",
            "       72.74691678, 71.04475607]), array([67.5683852 , 68.18009307, 61.02434221, ..., 65.52641361,\n",
            "       61.9231579 , 63.38475514]), array([66.72832039, 67.16781977, 66.53981222, ..., 62.34831799,\n",
            "       64.83135951, 63.79222993]), array([67.29028294, 63.95395839, 62.63325962, ..., 67.70035802,\n",
            "       63.57610108, 66.79897653]), array([62.38459711, 66.14773847, 63.27171853, ..., 62.43086682,\n",
            "       66.2973454 , 62.5619189 ]), array([65.85757738, 70.41895734, 69.18295954, ..., 61.10051608,\n",
            "       56.73718347, 67.25038326]), array([70.96758546, 66.55389802, 62.27668272, ..., 65.71624998,\n",
            "       74.76744684, 69.56867239]), array([66.35950612, 60.86794313, 70.10982958, ..., 69.68445763,\n",
            "       69.74159588, 67.93550704]), array([62.11606033, 65.66287854, 61.37309512, ..., 66.1149178 ,\n",
            "       72.05532404, 71.04475607]), array([64.28159841, 65.99619824, 63.50469486, ..., 71.19658688,\n",
            "       65.12540742, 65.86062869]), array([64.9485459 , 68.91960352, 68.89341765, ..., 65.91497066,\n",
            "       68.99169059, 65.06903435]), array([62.88244447, 71.36206501, 61.61994587, ..., 71.27332641,\n",
            "       68.91623396, 66.37021361]), array([69.27197824, 62.55758434, 67.91927928, ..., 68.04014331,\n",
            "       68.92357386, 66.72807365]), array([63.69613543, 71.45373689, 69.22269727, ..., 72.30926487,\n",
            "       65.27282673, 61.84260026]), array([68.80466487, 69.47098738, 63.55741371, ..., 67.60806653,\n",
            "       63.38473292, 67.60806653]), array([61.47093776, 65.74860119, 64.3001742 , ..., 67.89324169,\n",
            "       71.92934009, 69.26982929]), array([66.17221233, 59.6456491 , 63.36050975, ..., 69.7190933 ,\n",
            "       63.66514752, 69.04314598]), array([64.80221252, 63.76623697, 69.5666933 , ..., 74.22117488,\n",
            "       67.86895411, 65.55625722]), array([66.62168183, 64.26375565, 63.48668091, ..., 58.87430067,\n",
            "       65.32362632, 69.67461416]), array([68.30323306, 70.36513772, 59.53116237, ..., 72.07723711,\n",
            "       62.14866931, 65.29891515]), array([60.83468117, 64.2178241 , 63.88119651, ..., 63.76781473,\n",
            "       63.6358284 , 64.24043215]), array([65.06001174, 68.55071445, 67.96813278, ..., 67.20063052,\n",
            "       71.15352385, 72.71616603]), array([66.72991606, 63.80413136, 66.73988258, ..., 69.43764789,\n",
            "       64.43205085, 64.47292752]), array([70.62675272, 72.38609816, 64.01117262, ..., 68.09887366,\n",
            "       63.39905083, 66.60404598]), array([62.78673268, 70.21235163, 59.12503148, ..., 71.5687337 ,\n",
            "       63.79995888, 67.5109499 ]), array([67.71742749, 67.62447726, 64.0145859 , ..., 68.58927044,\n",
            "       68.68566293, 63.33191304]), array([67.98961206, 67.99285124, 60.85962004, ..., 65.70124431,\n",
            "       61.3884204 , 65.83995075]), array([66.64332297, 70.79063218, 68.26572352, ..., 59.35483497,\n",
            "       69.71193781, 70.70600756]), array([67.77050949, 66.90285514, 61.91225408, ..., 61.75400983,\n",
            "       71.44719367, 69.99746382]), array([65.7814558 , 64.56988921, 67.80966401, ..., 69.45337621,\n",
            "       65.92942171, 63.57141145]), array([67.78879933, 67.81460188, 64.49394276, ..., 64.99105029,\n",
            "       70.9497701 , 69.5533849 ]), array([62.27937546, 67.1658594 , 68.02563199, ..., 65.66451791,\n",
            "       68.94972   , 71.4807288 ]), array([67.01784812, 64.16787074, 59.35383101, ..., 64.47856716,\n",
            "       69.34236641, 71.79202206]), array([65.18656942, 61.83709682, 72.25270472, ..., 69.50364737,\n",
            "       67.54556979, 62.67409439]), array([70.97649076, 65.67280001, 62.397405  , ..., 67.55605126,\n",
            "       62.86579025, 69.03106285]), array([60.44378913, 66.97101417, 68.82933377, ..., 69.57143021,\n",
            "       65.59430176, 69.37384373]), array([66.25955804, 72.76190639, 71.60302274, ..., 68.93958288,\n",
            "       61.82600731, 60.22034116]), array([72.60769741, 69.45413595, 68.69999563, ..., 63.52683564,\n",
            "       64.10940651, 67.00648013]), array([64.86994235, 66.5298081 , 68.81943046, ..., 67.24386795,\n",
            "       64.29326944, 63.18364112]), array([65.07790189, 61.52769119, 67.62427574, ..., 62.54811695,\n",
            "       68.60210042, 69.71017624]), array([66.22251823, 67.0699084 , 70.54924202, ..., 61.45028217,\n",
            "       65.0773312 , 72.24472362]), array([63.93043498, 63.39315884, 67.70943846, ..., 67.85145907,\n",
            "       58.43126896, 68.9574386 ]), array([63.041982  , 71.50044774, 70.46707885, ..., 65.09677602,\n",
            "       67.14920636, 68.67738441]), array([67.83639708, 62.02804334, 68.46058235, ..., 60.0901747 ,\n",
            "       59.76215649, 65.68804351]), array([69.76009479, 68.41998276, 70.25340097, ..., 68.27990776,\n",
            "       69.18220268, 61.8903595 ]), array([60.33197203, 65.89268577, 73.42797007, ..., 59.90652786,\n",
            "       69.10691697, 62.42142878]), array([68.89307224, 65.87787498, 68.61092192, ..., 62.51507249,\n",
            "       69.72688521, 73.33959   ]), array([67.47291244, 62.93589257, 68.33115009, ..., 68.22540733,\n",
            "       73.53666772, 67.38179989]), array([59.34485488, 67.77378647, 67.67446319, ..., 64.85579918,\n",
            "       65.83165439, 62.10864035]), array([72.43632383, 62.91438917, 74.70961248, ..., 67.40852785,\n",
            "       69.88179586, 65.38656672]), array([65.58602868, 56.73718347, 62.58646378, ..., 68.98555395,\n",
            "       61.21316929, 60.66750663]), array([63.55741371, 65.18093656, 70.6036802 , ..., 70.8193038 ,\n",
            "       67.15186394, 65.24244306]), array([63.13233936, 63.48868365, 74.97523083, ..., 63.79052863,\n",
            "       70.71040603, 68.74364712]), array([66.77491633, 63.37101299, 67.11452669, ..., 69.54610867,\n",
            "       71.41894599, 71.02654346]), array([68.37126964, 63.99256524, 68.27902252, ..., 59.79586097,\n",
            "       63.19434269, 71.76174731]), array([68.1699946 , 64.74579099, 64.89686166, ..., 67.38005789,\n",
            "       66.90285514, 70.38774653]), array([62.88352629, 64.93911542, 69.87714736, ..., 68.80469353,\n",
            "       70.96856341, 71.38602219]), array([62.75801917, 54.61685783, 57.31390274, ..., 69.77791032,\n",
            "       66.68250215, 64.56779556]), array([68.28105324, 66.31623192, 69.39964952, ..., 65.79751568,\n",
            "       72.03192392, 64.72079374]), array([70.98367049, 65.48763998, 66.05547263, ..., 66.20234771,\n",
            "       69.38201738, 68.1714042 ]), array([68.31325793, 75.55355223, 71.46413025, ..., 66.25363253,\n",
            "       65.4601014 , 68.02563199]), array([65.88106687, 77.54718634, 66.10046892, ..., 66.02123191,\n",
            "       69.47098738, 70.90865306]), array([70.60576101, 70.57332649, 72.8754443 , ..., 63.54010533,\n",
            "       63.00143169, 62.01191693]), array([66.19059084, 69.93619073, 66.25522505, ..., 64.37410268,\n",
            "       61.83709682, 69.32588186]), array([66.97028641, 63.11825358, 67.55605126, ..., 70.25353368,\n",
            "       67.24071567, 78.09586747]), array([67.10706563, 65.33505185, 71.6016965 , ..., 67.32364799,\n",
            "       68.27990776, 67.01218541]), array([70.30977776, 73.0691967 , 66.029034  , ..., 70.81199997,\n",
            "       73.5846783 , 62.06383584]), array([72.11910358, 71.04782378, 67.8170758 , ..., 65.02182776,\n",
            "       66.49986655, 71.472998  ]), array([64.12569658, 71.78171407, 65.45919587, ..., 63.83449077,\n",
            "       71.6499171 , 61.69894111]), array([59.14124671, 64.57431387, 63.57141145, ..., 67.95604898,\n",
            "       68.50493009, 68.02526048]), array([67.00355583, 63.16673849, 67.70560322, ..., 58.04838794,\n",
            "       72.72060324, 73.56863634]), array([68.75963603, 63.56265567, 68.00260444, ..., 67.0181793 ,\n",
            "       60.97202098, 73.4053574 ]), array([65.34446344, 62.81992317, 61.41321871, ..., 69.37532434,\n",
            "       69.07774056, 60.15003071]), array([62.0041303 , 60.47226197, 66.7172738 , ..., 64.59743454,\n",
            "       70.82560268, 64.63750197]), array([66.25724652, 70.82143149, 65.29243478, ..., 62.02647968,\n",
            "       59.39027981, 69.34260763]), array([67.69143017, 70.30977776, 61.45650433, ..., 63.42589937,\n",
            "       68.48521351, 63.93238794]), array([63.15852253, 63.62695788, 65.72603205, ..., 65.62642612,\n",
            "       71.00788826, 61.55011257]), array([65.14538079, 61.4759043 , 65.36777905, ..., 70.47831481,\n",
            "       68.41379114, 75.03841151]), array([71.67805468, 65.03760715, 63.43360753, ..., 61.14319144,\n",
            "       70.20408128, 67.64029011]), array([61.08432705, 68.76377136, 60.98528933, ..., 66.07553682,\n",
            "       64.21824828, 60.75421938]), array([63.38828857, 66.59607703, 67.14018598, ..., 67.41534835,\n",
            "       60.79827083, 70.796979  ]), array([63.61781518, 68.33195769, 66.25215051, ..., 69.32992168,\n",
            "       67.49521805, 71.70930757]), array([68.14647366, 71.42757519, 68.02228235, ..., 68.10845837,\n",
            "       64.70671644, 67.37637547]), array([60.03043377, 66.97683159, 64.49023632, ..., 66.68774223,\n",
            "       62.80749282, 68.44619221]), array([69.44033828, 61.67320486, 66.89562967, ..., 69.46082632,\n",
            "       60.61411476, 64.7363556 ]), array([71.54108225, 65.14608142, 60.05671104, ..., 68.27104991,\n",
            "       66.69736773, 61.31079843]), array([62.25312815, 72.46152792, 66.55735663, ..., 64.44752096,\n",
            "       61.22309514, 71.77899537]), array([63.61120654, 68.70425904, 63.36976449, ..., 60.02674978,\n",
            "       64.24667196, 63.91657834]), array([65.93982812, 69.78150595, 62.70491665, ..., 64.78555122,\n",
            "       60.47226197, 69.21201113]), array([65.40103859, 72.17355644, 69.92437463, ..., 67.73027492,\n",
            "       70.82464272, 64.34170483]), array([66.68250215, 68.89452931, 64.74751466, ..., 70.12376143,\n",
            "       72.35824904, 64.08483409]), array([66.0745536 , 73.12243321, 69.75178754, ..., 72.00173222,\n",
            "       62.17833122, 68.32145287]), array([71.56797976, 66.55722857, 67.72801739, ..., 70.27402328,\n",
            "       70.15196588, 61.40468346]), array([61.9231579 , 63.38475514, 61.66856602, ..., 68.90485109,\n",
            "       64.61926255, 61.29236298]), array([65.17613559, 61.79532636, 66.92154402, ..., 66.47795697,\n",
            "       70.21362908, 68.37453089]), array([63.33191304, 72.71349076, 72.74952611, ..., 64.96619221,\n",
            "       67.41984001, 67.89040521]), array([65.36021623, 61.6584462 , 64.15913444, ..., 71.67805468,\n",
            "       62.29934049, 67.40595053]), array([64.0512364 , 61.59445094, 60.86794313, ..., 67.02237071,\n",
            "       64.00783813, 69.58211332]), array([61.88055794, 60.05135799, 69.53359581, ..., 63.73237421,\n",
            "       68.81943046, 61.21783686]), array([64.79939376, 63.46410923, 62.4557193 , ..., 72.42977095,\n",
            "       67.47309881, 67.42890822]), array([59.10924752, 70.68894333, 72.04204314, ..., 57.20794645,\n",
            "       68.24687214, 58.59655453]), array([67.37851835, 63.17884675, 70.46566325, ..., 65.84341746,\n",
            "       69.93271019, 73.29458372]), array([72.81103161, 59.83856884, 61.93471607, ..., 67.49730354,\n",
            "       70.14487407, 67.78938051]), array([66.90026045, 67.27118588, 63.19575635, ..., 63.13687094,\n",
            "       68.78713427, 68.70425904]), array([68.59333554, 62.43086682, 65.21339181, ..., 62.77453234,\n",
            "       65.97857729, 71.30785222]), array([66.8777106 , 71.00690253, 64.69929448, ..., 58.10966317,\n",
            "       62.19333659, 63.89539303]), array([68.26791853, 64.64085695, 67.99840926, ..., 67.38315251,\n",
            "       71.91022602, 71.97369338]), array([68.70957999, 65.42024381, 65.74773144, ..., 67.09990391,\n",
            "       63.34757996, 61.304754  ]), array([66.07387009, 68.03290834, 71.39146448, ..., 61.19192279,\n",
            "       71.27946177, 64.45785785]), array([66.29919303, 63.55140316, 66.84758482, ..., 63.04027949,\n",
            "       68.76616172, 67.03121709]), array([68.51488725, 66.99828973, 69.16318774, ..., 63.94437282,\n",
            "       71.52734143, 68.84301209]), array([66.01551855, 65.80460587, 65.04122759, ..., 65.24365684,\n",
            "       63.62357422, 63.94437282]), array([64.13704457, 69.97430087, 63.99931975, ..., 72.49517682,\n",
            "       63.96253068, 65.12364694]), array([68.36007218, 65.0422212 , 61.78961197, ..., 69.76960444,\n",
            "       70.96261712, 65.60876846]), array([66.39319245, 64.10201303, 62.41587974, ..., 66.55811408,\n",
            "       65.18177122, 57.78681941]), array([70.09857714, 63.17674124, 62.71683192, ..., 65.26311424,\n",
            "       65.91808694, 67.99944868]), array([62.0501442 , 68.48608307, 70.95699006, ..., 64.62428946,\n",
            "       61.29236298, 73.10336405]), array([64.17138136, 62.69332385, 68.99254357, ..., 60.93869849,\n",
            "       64.40979454, 65.83839113]), array([64.36945333, 62.05420397, 68.39010874, ..., 64.79896116,\n",
            "       68.6087581 , 64.32354378]), array([62.81315544, 65.98207856, 67.426016  , ..., 69.49152342,\n",
            "       69.34260763, 64.49394276]), array([68.59333554, 71.11553184, 63.70136456, ..., 60.2437181 ,\n",
            "       69.2844188 , 64.38706146]), array([73.83892928, 63.63796431, 65.01125256, ..., 69.11991976,\n",
            "       64.2473844 , 66.79392707]), array([65.47109105, 69.8222337 , 61.55252841, ..., 64.65579525,\n",
            "       64.61636414, 66.41090779]), array([72.169391  , 67.08326417, 63.81097455, ..., 66.50028416,\n",
            "       71.19793782, 63.52295503]), array([69.56934704, 62.38553415, 63.84886031, ..., 72.93864904,\n",
            "       74.34020588, 69.74264212]), array([60.94110303, 66.59607703, 68.5312197 , ..., 66.93264766,\n",
            "       71.16322165, 58.63272047]), array([61.42410942, 63.63351404, 65.76996679, ..., 64.25806779,\n",
            "       68.05445   , 67.83760801]), array([71.9543552 , 68.07461976, 70.79502261, ..., 68.79787905,\n",
            "       70.25426107, 68.99744011]), array([64.83019327, 64.60458117, 63.37145896, ..., 65.07178455,\n",
            "       64.27649307, 71.70123402]), array([71.20165968, 62.89862539, 63.0419971 , ..., 69.86143908,\n",
            "       60.21701856, 64.39922876]), array([63.46074617, 64.77274561, 73.93388062, ..., 62.44408874,\n",
            "       69.94407979, 67.17823441]), array([67.69143017, 66.79059191, 59.97733981, ..., 65.94647155,\n",
            "       64.25528936, 62.93871811]), array([60.80971704, 71.25013608, 67.11980445, ..., 59.11850279,\n",
            "       69.91300998, 67.33434837]), array([67.11027101, 63.76821184, 64.11602291, ..., 67.90470093,\n",
            "       62.32308708, 70.81753789]), array([58.87430067, 72.39432346, 70.48564317, ..., 58.68066471,\n",
            "       57.88297788, 67.0735038 ]), array([71.7967672 , 63.648144  , 70.83987238, ..., 64.6087149 ,\n",
            "       73.50736001, 73.22307094]), array([63.45611879, 66.29026806, 64.82807152, ..., 62.54948538,\n",
            "       61.00854419, 65.05261896]), array([68.20554112, 58.58029014, 63.83449077, ..., 59.8735563 ,\n",
            "       67.12518877, 77.06735502]), array([71.57050822, 69.76508744, 65.80601499, ..., 61.22309514,\n",
            "       63.87959583, 64.43414309]), array([70.0240514 , 61.70866825, 64.0828653 , ..., 71.85662883,\n",
            "       65.29686849, 63.18261777]), array([66.0007525 , 69.86143908, 63.81218998, ..., 63.02373338,\n",
            "       70.30416327, 70.62675272]), array([70.23648981, 70.59702452, 72.69525855, ..., 62.41587974,\n",
            "       63.79484016, 62.22733769]), array([65.51831079, 67.26636272, 65.4782668 , ..., 63.66911294,\n",
            "       70.31169434, 71.84577794]), array([73.96449337, 62.05498991, 64.18148293, ..., 65.24678705,\n",
            "       70.25225274, 66.53752819]), array([66.35154132, 66.6154889 , 62.4409304 , ..., 67.92638532,\n",
            "       64.70671644, 64.76214735]), array([62.88506302, 61.90639389, 57.16584006, ..., 73.73792828,\n",
            "       62.7748174 , 67.15653778]), array([56.54884308, 61.08414371, 63.17408886, ..., 73.68336434,\n",
            "       64.3658908 , 65.86925312]), array([66.93512914, 62.397405  , 67.34269071, ..., 63.56499447,\n",
            "       68.79205081, 64.11319612]), array([61.74305495, 66.11876309, 68.06849494, ..., 69.08270299,\n",
            "       69.51146903, 67.45868518]), array([61.35545092, 70.94944345, 71.4807288 , ..., 67.22014722,\n",
            "       70.09954493, 68.98557945]), array([66.43590225, 62.60503487, 61.2184549 , ..., 69.89540376,\n",
            "       65.45395717, 68.02041971]), array([64.83060796, 60.38865261, 62.44408874, ..., 71.09427331,\n",
            "       66.55609731, 66.01442823]), array([66.50376237, 71.35821063, 65.22037867, ..., 63.01325688,\n",
            "       65.76964217, 64.36852479]), array([61.62105661, 72.0372678 , 70.03067329, ..., 61.15386602,\n",
            "       66.58199851, 63.84405984]), array([66.04550715, 69.5732598 , 71.58327164, ..., 68.87477596,\n",
            "       75.69861825, 64.49886565]), array([63.82897138, 63.60048006, 64.52899794, ..., 59.80953425,\n",
            "       68.62993068, 72.41831663]), array([75.04448619, 62.40706413, 67.23677952, ..., 71.50044774,\n",
            "       67.99909936, 67.37851835]), array([63.11914595, 62.98115002, 73.36693298, ..., 69.37071992,\n",
            "       58.96352584, 65.45487455]), array([60.24552998, 60.36331156, 65.94265808, ..., 66.55658687,\n",
            "       72.18956204, 63.63351404]), array([64.39724057, 70.35503312, 65.37997421, ..., 65.59991303,\n",
            "       66.69616281, 70.82085671]), array([69.76784563, 60.67078447, 66.88732345, ..., 64.68020759,\n",
            "       72.14585181, 68.22266448]), array([64.98549836, 66.22813195, 64.88968721, ..., 61.81552319,\n",
            "       68.48850981, 68.99197756]), array([74.21643094, 69.56867239, 68.53790185, ..., 61.9098022 ,\n",
            "       69.55905319, 70.54220142]), array([65.12689384, 67.91505019, 63.24099163, ..., 66.66156475,\n",
            "       62.23427754, 65.63599729]), array([72.39432346, 61.64664118, 62.58697166, ..., 68.53897839,\n",
            "       67.19352328, 60.98076185]), array([71.36636548, 66.16372809, 59.27965397, ..., 64.03527896,\n",
            "       58.96406899, 63.27695962]), array([72.49958356, 61.13647544, 60.70979338, ..., 74.31989027,\n",
            "       64.22915631, 60.29546059]), array([64.80651081, 59.41310734, 65.79854427, ..., 61.13064492,\n",
            "       64.80414049, 67.66046754]), array([63.41737423, 65.02284052, 64.95111283, ..., 65.38322421,\n",
            "       64.3476316 , 66.19800895]), array([71.32700107, 69.18295954, 63.03468565, ..., 63.45649398,\n",
            "       68.95153509, 67.86431223]), array([60.24625719, 62.02010486, 57.96849839, ..., 74.40167189,\n",
            "       60.57384215, 67.07366076]), array([69.59810682, 68.96405081, 69.32361357, ..., 71.80691042,\n",
            "       62.5272288 , 64.54824561]), array([64.12266119, 70.4417673 , 67.70943846, ..., 60.38849386,\n",
            "       65.81612281, 65.08774425]), array([64.87407911, 69.32485803, 62.67409439, ..., 62.28385569,\n",
            "       70.57511154, 68.58927044]), array([58.9265027 , 64.28173503, 71.16944715, ..., 66.18187867,\n",
            "       70.90374445, 64.78293904]), array([69.7438052 , 65.43804252, 67.49301159, ..., 69.05888454,\n",
            "       68.18809667, 68.66444877]), array([66.71458512, 69.41734033, 60.92634833, ..., 69.68364342,\n",
            "       68.75217593, 65.72053427]), array([69.88530113, 71.6576596 , 61.14634414, ..., 62.12614991,\n",
            "       67.78879933, 65.73854743]), array([73.29833889, 66.42167293, 73.7579983 , ..., 70.96178771,\n",
            "       68.13028842, 68.12701632]), array([68.14562101, 67.46708591, 69.74148135, ..., 64.9085097 ,\n",
            "       65.09530835, 66.42394365]), array([71.05566416, 76.11667468, 64.69816298, ..., 68.78656612,\n",
            "       69.0053177 , 72.1989793 ]), array([70.45158502, 68.83693336, 68.87542383, ..., 73.4387723 ,\n",
            "       69.80629069, 63.03416983]), array([67.99745599, 65.27034552, 64.24281547, ..., 67.46708591,\n",
            "       69.12527479, 63.00872253]), array([67.74580388, 69.05392406, 68.60809519, ..., 69.43402914,\n",
            "       60.18097669, 65.98696793]), array([68.64741231, 70.83710322, 69.38506253, ..., 62.78427635,\n",
            "       66.68224277, 63.54524543]), array([59.11850279, 68.41195285, 65.14868762, ..., 62.45708954,\n",
            "       67.04290303, 63.44024747]), array([62.02837306, 67.04058976, 73.48729547, ..., 66.11324199,\n",
            "       66.54080721, 62.51851666]), array([68.46440582, 70.3985174 , 56.82223984, ..., 60.80771209,\n",
            "       65.51692163, 65.04104297]), array([64.38839608, 64.2473844 , 64.48255373, ..., 66.36754046,\n",
            "       67.36169467, 62.03276374]), array([62.12614991, 68.97394183, 62.34831799, ..., 69.60588259,\n",
            "       72.80084352, 63.05254939]), array([65.8693715 , 64.65584828, 68.18704909, ..., 69.69656676,\n",
            "       70.00488668, 70.50545687]), array([67.36206427, 72.43261756, 68.61092192, ..., 68.43166034,\n",
            "       61.19129475, 73.1433355 ]), array([66.40794579, 61.30767985, 69.89920395, ..., 63.93997277,\n",
            "       67.23697838, 59.95595817]), array([68.09137436, 68.98171886, 65.08949215, ..., 60.6583981 ,\n",
            "       64.61636414, 64.39016914]), array([68.27902252, 63.11825358, 70.95804927, ..., 70.01336535,\n",
            "       68.91960352, 73.84689148]), array([65.13587973, 63.89226161, 64.36840951, ..., 68.76616172,\n",
            "       68.92871668, 74.44660762]), array([71.95918775, 62.93504795, 71.08909566, ..., 60.65521774,\n",
            "       64.68347123, 67.05399437]), array([63.63948265, 71.15457583, 73.97600524, ..., 66.0675479 ,\n",
            "       67.91705023, 61.79111794]), array([69.6109083 , 70.86876641, 67.08326417, ..., 61.11887036,\n",
            "       69.94425057, 71.46203878]), array([65.38669083, 62.35600321, 63.50346703, ..., 65.32533032,\n",
            "       67.01382842, 69.33034652]), array([65.02182776, 58.65644436, 67.37359659, ..., 70.49568211,\n",
            "       61.95896459, 69.30950273]), array([71.32147602, 67.65554339, 70.96261712, ..., 62.73483929,\n",
            "       60.72515322, 64.60426724]), array([59.33510789, 60.02595007, 67.22014722, ..., 62.52347151,\n",
            "       67.80901469, 59.76215649]), array([68.36285847, 62.18292852, 71.81390356, ..., 64.06072083,\n",
            "       64.39003342, 65.78802419]), array([64.8539766 , 66.07110689, 72.97945059, ..., 61.43819518,\n",
            "       70.96261712, 65.70477385]), array([63.39905918, 74.03459775, 67.7282199 , ..., 70.09954493,\n",
            "       62.37037798, 65.47109105]), array([62.62233713, 61.91225408, 63.39170889, ..., 70.11909775,\n",
            "       71.67636717, 61.764569  ]), array([63.85709803, 62.28286595, 60.5977271 , ..., 66.32096748,\n",
            "       68.99614537, 66.94445374]), array([71.17416258, 74.40648137, 68.50294349, ..., 65.82778663,\n",
            "       63.91657834, 61.49685745]), array([68.83846286, 67.88884253, 58.75737097, ..., 59.41674322,\n",
            "       62.96204011, 65.37932474]), array([57.795534  , 69.59247919, 66.50328138, ..., 65.00141316,\n",
            "       64.48937563, 69.89326863]), array([68.63270742, 64.50677096, 67.44471908, ..., 68.51599909,\n",
            "       58.50382088, 66.69188002]), array([66.9828955 , 59.5883951 , 65.42018319, ..., 64.13704457,\n",
            "       62.07171519, 68.9295424 ]), array([69.05083978, 64.45669446, 73.16407985, ..., 63.90505348,\n",
            "       71.41794564, 66.85497659]), array([60.50431592, 67.42681364, 69.78016415, ..., 68.89078389,\n",
            "       62.75099671, 58.65717685]), array([74.66919682, 73.1411551 , 70.84406242, ..., 61.48963366,\n",
            "       58.40402741, 62.48908033]), array([64.06078715, 69.21820494, 65.87103803, ..., 57.55871033,\n",
            "       60.09128734, 71.78171407]), array([62.62197768, 67.84136251, 62.79904591, ..., 62.33551382,\n",
            "       60.09128734, 61.86466675]), array([64.12569658, 67.96640648, 67.12034439, ..., 66.3603886 ,\n",
            "       67.38368786, 66.03555149]), array([66.94262276, 72.27855615, 62.95254098, ..., 67.52463932,\n",
            "       66.29026806, 67.3006788 ]), array([65.05632512, 63.26327461, 61.50910635, ..., 61.79265733,\n",
            "       75.04399507, 68.61211617]), array([70.68039627, 65.11015527, 68.0268168 , ..., 64.82960496,\n",
            "       64.25565424, 66.11579969]), array([69.05456976, 61.10321629, 71.61388605, ..., 60.0259173 ,\n",
            "       64.09800721, 57.31390274]), array([63.4374944 , 68.98883524, 70.32349325, ..., 67.74920685,\n",
            "       63.1308135 , 65.6823646 ]), array([64.25090435, 64.74708207, 63.22901952, ..., 62.06640618,\n",
            "       62.19067164, 68.94972   ]), array([68.00260444, 74.51787603, 65.67307695, ..., 66.1515533 ,\n",
            "       66.76615661, 64.53899481]), array([68.91631418, 71.41904963, 63.91369476, ..., 69.96281114,\n",
            "       65.53251023, 72.65740446]), array([66.55652499, 59.47781849, 72.11910358, ..., 62.78104805,\n",
            "       66.74916684, 58.78175763]), array([69.50364737, 72.22761616, 71.13757292, ..., 70.09493507,\n",
            "       62.67070857, 66.86273906]), array([65.72603205, 63.42589937, 59.76169612, ..., 64.4678893 ,\n",
            "       66.75875881, 71.32989784]), array([62.27771138, 68.27104991, 64.00298276, ..., 64.43414309,\n",
            "       64.14422174, 69.47110603]), array([66.88975886, 63.68318099, 70.83710322, ..., 61.66852287,\n",
            "       67.44445411, 70.60576101]), array([61.31079843, 63.85368367, 61.83971277, ..., 60.58582038,\n",
            "       65.24094088, 64.00987258]), array([65.66755448, 70.04866729, 65.19886332, ..., 59.17660952,\n",
            "       67.31952013, 67.51248465]), array([67.77871231, 67.88188946, 70.51884172, ..., 65.06710723,\n",
            "       62.12079891, 66.17911136]), array([72.07723711, 68.91623396, 62.78427635, ..., 58.64288882,\n",
            "       62.2665815 , 58.82326186]), array([63.59345948, 60.65373317, 67.02293422, ..., 70.96726656,\n",
            "       62.34460773, 64.50713957]), array([70.66332308, 73.09287082, 65.973065  , ..., 71.59068401,\n",
            "       64.70671644, 71.73869477]), array([70.62904069, 62.81315544, 66.34013916, ..., 67.12949751,\n",
            "       60.71608236, 72.10955999]), array([66.51734475, 65.72858019, 69.12835663, ..., 67.72695642,\n",
            "       67.70533285, 67.74290144]), array([70.83048067, 65.65950483, 69.33673566, ..., 70.77315142,\n",
            "       66.87497089, 64.68064683]), array([66.03555149, 71.82028668, 70.42760261, ..., 64.36124908,\n",
            "       66.55588663, 67.49557515]), array([62.16641239, 59.39027981, 71.7057626 , ..., 69.56316421,\n",
            "       59.93998171, 71.58552406]), array([62.19870734, 59.60115453, 65.78114516, ..., 73.68617032,\n",
            "       67.4868239 , 62.20278895]), array([64.74465538, 69.84456408, 62.60793751, ..., 69.63452662,\n",
            "       64.59028563, 63.32172871]), array([67.4182853 , 71.69388059, 62.60503487, ..., 63.86501825,\n",
            "       68.08994144, 67.39601985]), array([62.85037864, 67.26636272, 66.72468017, ..., 68.3172449 ,\n",
            "       63.9165972 , 64.74617432]), array([64.50733065, 60.845512  , 63.1819005 , ..., 70.54369293,\n",
            "       66.44229183, 58.4382491 ]), array([67.65327039, 69.28950996, 70.49052137, ..., 62.5272288 ,\n",
            "       65.72916187, 68.91678848]), array([67.97433623, 71.41846589, 64.98580984, ..., 63.08074039,\n",
            "       67.10706563, 61.87815686]), array([61.49434224, 63.85301196, 64.28518164, ..., 65.77592839,\n",
            "       68.46621101, 66.67801663]), array([74.60459137, 65.27930021, 60.82919775, ..., 64.4645503 ,\n",
            "       65.61873688, 67.39334607]), array([68.05451905, 68.15253435, 66.60946864, ..., 60.45231872,\n",
            "       67.16719433, 69.07131434]), array([62.36109238, 61.9059185 , 66.41178938, ..., 64.58020712,\n",
            "       63.98047176, 67.06002082]), array([69.11382842, 68.79306017, 65.38322421, ..., 68.2112871 ,\n",
            "       66.03501695, 64.7054369 ]), array([65.60554554, 69.43688968, 62.06985145, ..., 64.64085695,\n",
            "       69.46271544, 68.27458073]), array([70.96261712, 63.9529284 , 62.78104805, ..., 62.0733898 ,\n",
            "       63.50589446, 64.09800721]), array([66.68703847, 73.49486112, 62.50733531, ..., 67.96856544,\n",
            "       61.62578317, 62.98077536]), array([69.20149328, 62.14866931, 70.00897326, ..., 71.91504513,\n",
            "       71.7057626 , 61.07697273]), array([62.17551944, 67.24071567, 74.34020588, ..., 70.61316241,\n",
            "       72.46060879, 68.01907816]), array([67.23393092, 63.08292247, 61.91518372, ..., 73.78127448,\n",
            "       57.84910509, 67.44366129]), array([71.17657121, 66.33428146, 69.19147497, ..., 64.83043987,\n",
            "       69.81029132, 62.83402005]), array([67.59063683, 67.6284844 , 63.58368034, ..., 66.5400155 ,\n",
            "       63.50346703, 65.84928275]), array([69.27970323, 66.59958079, 70.92954765, ..., 67.38345074,\n",
            "       66.50028416, 64.76525451]), array([69.25077579, 67.02424278, 69.5666933 , ..., 69.04314598,\n",
            "       69.59294259, 72.41697292]), array([63.11914595, 71.67843022, 64.1082872 , ..., 72.84494786,\n",
            "       65.62380943, 61.93095905]), array([66.8777106 , 71.41846589, 68.85845722, ..., 76.80634364,\n",
            "       69.90946195, 60.21701856]), array([62.0733898 , 68.55071445, 62.42142878, ..., 68.9555251 ,\n",
            "       65.60017843, 71.94401052]), array([60.48394565, 65.31043614, 71.79531868, ..., 65.04104297,\n",
            "       69.10259471, 61.28620543]), array([64.7055578 , 63.95730896, 71.64080512, ..., 75.42368656,\n",
            "       66.57751567, 65.8889514 ]), array([62.13408192, 64.67368972, 72.43046882, ..., 69.55905319,\n",
            "       67.4415353 , 67.13344429]), array([68.25823685, 59.90353879, 65.64174928, ..., 63.39178727,\n",
            "       62.98589755, 71.88269674]), array([60.65965538, 70.29958539, 60.61581126, ..., 67.36679527,\n",
            "       70.88160814, 69.47615015]), array([69.06413056, 66.4207334 , 64.40533155, ..., 67.22671859,\n",
            "       60.7559488 , 64.04358751]), array([62.99354977, 60.44326389, 63.76697514, ..., 58.13449631,\n",
            "       69.23842719, 63.93043498]), array([64.52414744, 68.73722074, 66.47184446, ..., 61.41451085,\n",
            "       65.67918844, 68.45675437]), array([73.60836469, 68.84761219, 60.87824075, ..., 70.31504936,\n",
            "       69.76287854, 66.15762817]), array([62.3667665 , 63.33477122, 63.46342933, ..., 60.0052569 ,\n",
            "       64.00783813, 64.52899794]), array([68.90089946, 68.18616566, 69.92414675, ..., 67.4142774 ,\n",
            "       69.11765738, 60.22190735]), array([62.6162136 , 63.96253068, 55.85121382, ..., 68.09092787,\n",
            "       62.53480578, 70.54264101]), array([69.1938714 , 69.84381304, 62.30306688, ..., 68.41336612,\n",
            "       66.32446981, 62.68294388]), array([64.08718015, 60.12477685, 73.80302454, ..., 64.48592703,\n",
            "       66.79942244, 70.46230271]), array([62.64413447, 67.54906949, 63.59370915, ..., 60.73185683,\n",
            "       63.68308288, 67.80901469]), array([67.64029011, 64.16084714, 70.54430599, ..., 67.79589341,\n",
            "       73.6661888 , 66.01483354]), array([62.60540445, 63.51015102, 68.97342283, ..., 65.83816921,\n",
            "       62.49984301, 64.63944884]), array([58.98057425, 64.49339476, 60.79782025, ..., 66.35154132,\n",
            "       58.68547139, 73.29458372]), array([72.87320321, 69.73506696, 72.6645041 , ..., 70.98367049,\n",
            "       58.94823506, 61.5759337 ]), array([62.6041035 , 69.53868436, 64.45669446, ..., 67.27329355,\n",
            "       65.85609973, 59.76682038]), array([66.67560706, 61.59445094, 66.79400775, ..., 63.58520722,\n",
            "       67.67682185, 70.19241426]), array([66.75172356, 64.88968721, 61.71226676, ..., 68.41525159,\n",
            "       62.02606936, 60.03276917]), array([60.44378913, 62.76313493, 67.26360484, ..., 73.78127448,\n",
            "       61.63045589, 66.83885298]), array([67.77871231, 68.44834863, 70.46566325, ..., 62.60225846,\n",
            "       62.67409439, 61.45864498]), array([65.14231429, 65.80484728, 59.77273146, ..., 71.87953849,\n",
            "       62.18172076, 63.27695962]), array([68.78387283, 60.17653777, 71.08480384, ..., 67.42751473,\n",
            "       69.95871907, 66.75286629]), array([68.39010874, 65.00925918, 67.11570303, ..., 65.33492768,\n",
            "       69.07127141, 64.33312525]), array([62.23231321, 71.97052605, 68.98238073, ..., 66.07186459,\n",
            "       59.64053159, 62.47577266]), array([69.47507618, 62.13056774, 67.73061112, ..., 66.89411123,\n",
            "       62.63088642, 61.63045589]), array([65.05814658, 68.94985775, 66.03495575, ..., 66.50640309,\n",
            "       76.84876127, 68.92967211]), array([59.44304003, 60.24552998, 64.09121223, ..., 71.84804499,\n",
            "       60.05135799, 63.26397712]), array([70.93092939, 64.34136048, 70.69159758, ..., 69.62454975,\n",
            "       57.76480789, 67.79589341]), array([65.63104779, 63.93068684, 66.11538621, ..., 67.54362176,\n",
            "       61.78961197, 58.99694399]), array([68.88636675, 60.77393898, 61.47211056, ..., 66.55588663,\n",
            "       71.64830831, 68.19301172]), array([66.76719738, 63.04338467, 59.71810115, ..., 57.79038921,\n",
            "       64.65940371, 63.29258532]), array([67.11452669, 65.49353009, 72.4995798 , ..., 67.35205087,\n",
            "       68.40086738, 63.06091479]), array([67.38628519, 72.26420577, 65.30726213, ..., 70.68624745,\n",
            "       63.97982305, 67.23677952])]\n"
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "bootstrapSamples contains the bootstrap resampled datasets, and each element of bootstrapSamples is a numpy array representing one bootstrap sample"
      ],
      "metadata": {
        "id": "_ro_dNoAQAeM"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "3. Calculate the Confidence Interval of 95 % using sample means derived using Bootstrap"
      ],
      "metadata": {
        "id": "PYjL8JMuQPLK"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# Compute the 95% confidence interval\n",
        "confidenceInterval = np.percentile(bootstrapSampleMeans, [2.5, 97.5])"
      ],
      "metadata": {
        "id": "_UMZJmwzP9os"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "print(\"Bootstrap Confidence Interval (95%):\", confidenceInterval)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "_Sg0nK6gRDn0",
        "outputId": "93c6ebdf-86d9-4b2e-ef7d-2ac8a98b4fec"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Bootstrap Confidence Interval (95%): [66.29161871 66.43805156]\n"
          ]
        }
      ]
    }
  ]
}