{
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  "metadata": {
    "colab": {
      "provenance": []
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    },
    "language_info": {
      "name": "python"
    }
  },
  "cells": [
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "T5lnzy-RLBSw"
      },
      "outputs": [],
      "source": [
        "# importing required libraries\n",
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "import pandas as pd"
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# importing or loading the dataset\n",
        "dataset = pd.read_csv('Wine.csv')\n",
        "\n",
        "# distributing the dataset into two components X and Y\n",
        "X = dataset.iloc[:, 0:13].values\n",
        "y = dataset.iloc[:, 13].values"
      ],
      "metadata": {
        "id": "1tdRXj_yLGQ2"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "# Splitting the X and Y into the\n",
        "# Training set and Testing set\n",
        "from sklearn.model_selection import train_test_split\n",
        "\n",
        "X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.2, random_state=0)"
      ],
      "metadata": {
        "id": "vED_BCHiLJt2"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "# performing preprocessing part\n",
        "from sklearn.preprocessing import StandardScaler\n",
        "sc = StandardScaler()\n",
        "\n",
        "X_train = sc.fit_transform(X_train)\n",
        "X_test = sc.transform(X_test)"
      ],
      "metadata": {
        "id": "yoFnQYYaLKsV"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "# Applying PCA function on training\n",
        "# and testing set of X component\n",
        "from sklearn.decomposition import PCA\n",
        "\n",
        "pca = PCA(n_components=2)\n",
        "\n",
        "X_train = pca.fit_transform(X_train)\n",
        "X_test = pca.transform(X_test)\n",
        "\n",
        "explained_variance = pca.explained_variance_ratio_"
      ],
      "metadata": {
        "id": "GXNWZXlgLL16"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "# Fitting Logistic Regression To the training set\n",
        "from sklearn.linear_model import LogisticRegression\n",
        "\n",
        "classifier = LogisticRegression(random_state=0)\n",
        "classifier.fit(X_train, y_train)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 74
        },
        "id": "2NOsiylWLNzU",
        "outputId": "dc964160-7692-47c8-b89f-72de8276f479"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "LogisticRegression(random_state=0)"
            ],
            "text/html": [
              "<style>#sk-container-id-1 {color: black;}#sk-container-id-1 pre{padding: 0;}#sk-container-id-1 div.sk-toggleable {background-color: white;}#sk-container-id-1 label.sk-toggleable__label {cursor: pointer;display: block;width: 100%;margin-bottom: 0;padding: 0.3em;box-sizing: border-box;text-align: center;}#sk-container-id-1 label.sk-toggleable__label-arrow:before {content: \"▸\";float: left;margin-right: 0.25em;color: #696969;}#sk-container-id-1 label.sk-toggleable__label-arrow:hover:before {color: black;}#sk-container-id-1 div.sk-estimator:hover label.sk-toggleable__label-arrow:before {color: black;}#sk-container-id-1 div.sk-toggleable__content {max-height: 0;max-width: 0;overflow: hidden;text-align: left;background-color: #f0f8ff;}#sk-container-id-1 div.sk-toggleable__content pre {margin: 0.2em;color: black;border-radius: 0.25em;background-color: #f0f8ff;}#sk-container-id-1 input.sk-toggleable__control:checked~div.sk-toggleable__content {max-height: 200px;max-width: 100%;overflow: auto;}#sk-container-id-1 input.sk-toggleable__control:checked~label.sk-toggleable__label-arrow:before {content: \"▾\";}#sk-container-id-1 div.sk-estimator input.sk-toggleable__control:checked~label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-1 div.sk-label input.sk-toggleable__control:checked~label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-1 input.sk-hidden--visually {border: 0;clip: rect(1px 1px 1px 1px);clip: rect(1px, 1px, 1px, 1px);height: 1px;margin: -1px;overflow: hidden;padding: 0;position: absolute;width: 1px;}#sk-container-id-1 div.sk-estimator {font-family: monospace;background-color: #f0f8ff;border: 1px dotted black;border-radius: 0.25em;box-sizing: border-box;margin-bottom: 0.5em;}#sk-container-id-1 div.sk-estimator:hover {background-color: #d4ebff;}#sk-container-id-1 div.sk-parallel-item::after {content: \"\";width: 100%;border-bottom: 1px solid gray;flex-grow: 1;}#sk-container-id-1 div.sk-label:hover label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-1 div.sk-serial::before {content: \"\";position: absolute;border-left: 1px solid gray;box-sizing: border-box;top: 0;bottom: 0;left: 50%;z-index: 0;}#sk-container-id-1 div.sk-serial {display: flex;flex-direction: column;align-items: center;background-color: white;padding-right: 0.2em;padding-left: 0.2em;position: relative;}#sk-container-id-1 div.sk-item {position: relative;z-index: 1;}#sk-container-id-1 div.sk-parallel {display: flex;align-items: stretch;justify-content: center;background-color: white;position: relative;}#sk-container-id-1 div.sk-item::before, #sk-container-id-1 div.sk-parallel-item::before {content: \"\";position: absolute;border-left: 1px solid gray;box-sizing: border-box;top: 0;bottom: 0;left: 50%;z-index: -1;}#sk-container-id-1 div.sk-parallel-item {display: flex;flex-direction: column;z-index: 1;position: relative;background-color: white;}#sk-container-id-1 div.sk-parallel-item:first-child::after {align-self: flex-end;width: 50%;}#sk-container-id-1 div.sk-parallel-item:last-child::after {align-self: flex-start;width: 50%;}#sk-container-id-1 div.sk-parallel-item:only-child::after {width: 0;}#sk-container-id-1 div.sk-dashed-wrapped {border: 1px dashed gray;margin: 0 0.4em 0.5em 0.4em;box-sizing: border-box;padding-bottom: 0.4em;background-color: white;}#sk-container-id-1 div.sk-label label {font-family: monospace;font-weight: bold;display: inline-block;line-height: 1.2em;}#sk-container-id-1 div.sk-label-container {text-align: center;}#sk-container-id-1 div.sk-container {/* jupyter's `normalize.less` sets `[hidden] { display: none; }` but bootstrap.min.css set `[hidden] { display: none !important; }` so we also need the `!important` here to be able to override the default hidden behavior on the sphinx rendered scikit-learn.org. See: https://github.com/scikit-learn/scikit-learn/issues/21755 */display: inline-block !important;position: relative;}#sk-container-id-1 div.sk-text-repr-fallback {display: none;}</style><div id=\"sk-container-id-1\" class=\"sk-top-container\"><div class=\"sk-text-repr-fallback\"><pre>LogisticRegression(random_state=0)</pre><b>In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook. <br />On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.</b></div><div class=\"sk-container\" hidden><div class=\"sk-item\"><div class=\"sk-estimator sk-toggleable\"><input class=\"sk-toggleable__control sk-hidden--visually\" id=\"sk-estimator-id-1\" type=\"checkbox\" checked><label for=\"sk-estimator-id-1\" class=\"sk-toggleable__label sk-toggleable__label-arrow\">LogisticRegression</label><div class=\"sk-toggleable__content\"><pre>LogisticRegression(random_state=0)</pre></div></div></div></div></div>"
            ]
          },
          "metadata": {},
          "execution_count": 8
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# Predicting the test set result using\n",
        "# predict function under LogisticRegression\n",
        "y_pred = classifier.predict(X_test)"
      ],
      "metadata": {
        "id": "w9x728R-LPAk"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "# making confusion matrix between\n",
        "#  test set of Y and predicted value.\n",
        "from sklearn.metrics import confusion_matrix\n",
        "\n",
        "cm = confusion_matrix(y_test, y_pred)"
      ],
      "metadata": {
        "id": "UA3JYh5YLQRa"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "# Predicting the training set\n",
        "# result through scatter plot\n",
        "from matplotlib.colors import ListedColormap\n",
        "\n",
        "X_set, y_set = X_train, y_train\n",
        "X1, X2 = np.meshgrid(np.arange(start=X_set[:, 0].min() - 1,\n",
        "                               stop=X_set[:, 0].max() + 1, step=0.01),\n",
        "                     np.arange(start=X_set[:, 1].min() - 1,\n",
        "                               stop=X_set[:, 1].max() + 1, step=0.01))\n",
        "\n",
        "plt.contourf(X1, X2, classifier.predict(np.array([X1.ravel(),\n",
        "                                                  X2.ravel()]).T).reshape(X1.shape), alpha=0.75,\n",
        "             cmap=ListedColormap(('yellow', 'white', 'aquamarine')))\n",
        "\n",
        "plt.xlim(X1.min(), X1.max())\n",
        "plt.ylim(X2.min(), X2.max())\n",
        "\n",
        "for i, j in enumerate(np.unique(y_set)):\n",
        "    plt.scatter(X_set[y_set == j, 0], X_set[y_set == j, 1],\n",
        "                color=ListedColormap(('red', 'green', 'blue'))(i), label=j)\n",
        "\n",
        "plt.title('Logistic Regression (Training set)')\n",
        "plt.xlabel('PC1')  # for Xlabel\n",
        "plt.ylabel('PC2')  # for Ylabel\n",
        "plt.legend()  # to show legend\n",
        "\n",
        "# show scatter plot\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 472
        },
        "id": "4bPjkwRnLTVg",
        "outputId": "0e7843f3-2fa6-491c-cb97-bf0dcb001d9d"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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YjUaMGjUKa9eudWrrPHLkCFauXIlrr70WSUlJAKwZja+//hrbt2+3n3fixAmvmQxHrq210dHRuPzyyyEIgr3uw7beiJgVhW+//XZ8//33+OCDD9yuC/YT8mOPPYbjx4/jjTfeAGD9dGw2m/H3v//d7dzW1lb7OG+44Qa0adMGixYtcjrntddeE/3Yo0ePRlJSEp599lmPdTC2Vummpia3jqoePXogMTHRPr108uRJt++B7dO7tymoQF4Hobr66qshCAK+/fZbSe7Plilxfc6lpaWS3L8URo8ejdraWnz44Yf2Y+fOnbO/1nwxm81uU0fp6em45JJL7D/PQYMGoUePHpg/fz7OnDnjdh+Orfb+fs++/fZbGAwGXH311X7HRtrHTA1p0ptvvonKykq348XFxXj66aexYcMGXHvttbj//vvRpk0bLF68GM3NzU7rbTz66KN45513MHLkSDzwwAP2lu6srCycOHHC5yfAUaNGoXPnzrjmmmvQqVMn7Ny5E6+99hpuvPFGJCYmArD+YQaAJ598EnfeeSfatm2Lm2++2ePiao888gjKy8txxx134O6778agQYNw4sQJfPjhh3j99dfRv3//gL9HY8eOxRVXXIGXXnoJRUVFGD58OO69917MnTsX27dvx6hRo9C2bVvs2bMH//rXv1BWVobCwkJ06tQJxcXFePHFF3HLLbdgzJgx+P777/HJJ5+gY8eOojJQSUlJWLRoEf70pz9h4MCBuPPOO5GWloYDBw7gf//3f3HNNdfgtddew+7du3HDDTdg3LhxuPzyy9GmTRt88MEHOHLkCO68804AwFtvvYWFCxfitttuQ48ePXD69Gm88cYbSEpKwh/+8AevYxD7OgjVtddeiw4dOuDTTz/F9ddfH/L9JSUl2WuLzp8/j4yMDKxfv96ecVCDe++9F6+99homTJiA4uJidOnSBStWrLAv5ufrNXL69GmYTCYUFhaif//+aNeuHT799FNs2bIFL774IgDrwoBLly7F2LFj0bdvX0yZMgUZGRmora3Fxo0bkZSUhI8++giA/9+zDRs24JprrkGHDh3k/JaQWijUdUUUFFsLq7evmpoaQRAE4bvvvhNGjx4ttGvXToiPjxfy8vKEr776yu3+tm3bJuTk5AgxMTGCyWQS5s6dK7zyyisCAOHw4cP281xbuhcvXixcd911QocOHYSYmBihR48ewiOPPCI0NDQ43f/f//53ISMjQ4iKinJqO3Vt6RYEazv5tGnThIyMDCE6OlowmUzCpEmThGPHjvn8nnTt2lW48cYbPV63fPlyAYCwbNky+7ElS5YIgwYNEuLi4oTExEThd7/7nfDoo48Khw4dsp/T2toq/O1vfxM6d+4sxMXFCddff72wc+dOoUOHDsJ9993n9vPw1m69ceNGYfTo0UJycrIQGxsr9OjRQ5g8ebKwdetWQRAE4dixY0JRUZHQu3dvISEhQUhOThaGDh0qvPfee/b7+O6774QJEyYIWVlZQkxMjJCeni7cdNNN9vuwgUtLt+22/l4H3p6Dp5Znb/76178Kl156qdfrfbV019fXu51/8OBB4bbbbhNSUlKE5ORk4Y477rC3Jjs+R28t3Z5eD66vYW8t3Z6WKpg0aZLQtWtXp2O//PKLcOONNwpxcXFCWlqa8NBDDwnvv/++AEDYvHmz1+9Fc3Oz8Mgjjwj9+/cXEhMThYSEBKF///7CwoUL3c7dtm2bUFBQYP8969q1qzBu3Djhs88+czrP2+/ZqVOnhOjoaGHp0qVex0P6wr2fiFyUlJRg8eLFOHPmTNBL0OvRqVOn0L59ezz99NN48sknlR6Oqvzyyy/o3bs3PvnkE9xwww1KD0cxpaWlePDBB3Hw4EFkZGQoPRyUlpbihRdewM8//+yzjoz0gzU1FNF+++03p8vHjx/H22+/jWuvvTaiAxrX7wtwsabD195Fkap79+74y1/+gueee07poYSN62vk3LlzWLx4MXr27KmKgOb8+fN46aWX8D//8z8MaCIIMzUU0QYMGIDc3Fz06dMHR44cwT/+8Q8cOnQIn332Ga677jqlh6eY5cuXY/ny5fjDH/6Adu3aYdOmTVi1ahVGjRqFdevWKT08UoGxY8ciKysLAwYMQENDA9555x3s2LEDK1aswMSJE5UeHkUoFgpTRPvDH/6A8vJyLFmyBAaDAQMHDsQ//vGPiA5oAKBfv35o06YNXnjhBTQ2NtqLh59++mmlh0YqMXr0aCxduhQrVqyA2WzG5ZdfjtWrV2P8+PFKD40iGDM1REREpAusqSEiIiJdYFBDREREuhBRNTUWiwWHDh1CYmIiNzcjIiLSCEEQcPr0aVxyySWIivKej4mooObQoUOS7fdCRERE4VVTUwOTyeT1+ogKamzL19fU1Ei27wsRERHJq7GxEZmZmfb3cW8iKqixTTklJSUxqCEiItIYf6UjLBQmIiIiXWBQQ0RERLrAoIaIiIh0IaJqaoiIiLTKbDbj/PnzSg9DFm3btpVkE2EGNURERComCAIOHz6MU6dOKT0UWaWkpKBz584hrSPHoIaIiEjFbAFNeno64uPjdbd4rCAIaGpqwtGjRwEAXbp0Cfq+GNQQERGplNlstgc0HTp0UHo4somLiwMAHD16FOnp6UFPRbFQmIiISKVsNTTx8fEKj0R+tucYSt0QgxoiIiKV09uUkydSPEcGNURERKQLDGqIiIhIFxjUEBERkeS+/PJL3HzzzbjkkktgMBiwZs0a2R+TQQ0REZHemc1AVRWwapX1X7NZ9oc8e/Ys+vfvjwULFsj+WDZs6SYiItKzigqguBg4ePDiMZMJKCsDCgpke9ixY8di7Nixst2/J8zUEBER6VVFBVBY6BzQAEBtrfV4RYUy45IJgxoiIiI9MputGRpBcL/OdqykJCxTUeHCoIaIiEiPqqvdMzSOBAGoqbGepxMMaoiIiPSork7a8zSAQQ0REZEeid0YMoQNJNWG3U9ERER6lJNj7XKqrfVcV2MwWK/PyZHl4c+cOYO9e/faL+/btw/bt29HamoqsrKyZHlMZmqIiIj0yGi0tm0D1gDGke1yaan1PBls3boVV155Ja688koAwPTp03HllVdi5syZsjwewEwNERGRfhUUAOXlntepKS2VdZ2a3NxcCJ4yRDJiUENERKRnBQVAfr61y6muzlpDk5MjW4ZGSQxqiIiI9M5oBHJzlR6F7FhTQ0RERLqg2aDmueeeg8FgQElJidJDISIiIhXQZFCzZcsWLF68GP369VN6KERERKQSmgtqzpw5g7vuugtvvPEG2rdvr/RwiIiISCU0F9QUFRXhxhtvxIgRI/ye29zcjMbGRqcvIiIi0idNdT+tXr0a3333HbZs2SLq/Llz52LOnDkyj4qIiIjUQDOZmpqaGhQXF2PFihWIjY0VdZsZM2agoaHB/lVTUyPzKImIiEgpmsnUfPvttzh69CgGDhxoP2Y2m/Hll1/itddeQ3NzM4wuCwnFxMQgJiYm3EMlIo0zW8yoPlCNutN16JLYBTlZOTBG6W+hMiK90UxQc8MNN+C///2v07EpU6agd+/eeOyxx9wCGiKiYFTsrEBxZTEONl5cUt6UZELZmDIU9JFvSXkiPZk7dy4qKiqwa9cuxMXF4fe//z2ef/559OrVS9bH1UxQk5iYiCuuuMLpWEJCAjp06OB2nIgoGBU7K1D4XiEEOO9XU9tYi8L3ClE+rpyBDWlSuLOPX3zxBYqKinDVVVehtbUVTzzxBEaNGoUff/wRCQkJsj2uZoIaIiI5mS1mFFcWuwU0ACBAgAEGlFSWIL9XPqeiSFOUyD5WVlY6XV6+fDnS09Px7bff4rrrrpPlMQENFQp7UlVVhdLSUqWHQUQ6UH2g2umPvisBAmoaa1B9oDqMoyIKjS376PratmUfK3ZWhGUcDQ0NAIDU1FRZH0fTQQ0RkVTqTtdJeh6R0vxlHwGgpLIEZotZ1nFYLBaUlJTgmmuukb1chEENERGALoldJD2PSGlqyT4WFRXhhx9+wOrVq2V9HIBBDRERACAnKwemJBMMMHi83gADMpMykZOVE+aREQVHDdnHadOm4eOPP8bGjRthMplkexwbBjVERACMUUaUjSkDALfAxna5dEwpi4RJM5TMPgqCgGnTpuGDDz7A559/jm7dukn+GJ4wqCEiuqCgTwHKx5UjIynD6bgpycR2btIcJbOPRUVFeOedd7By5UokJibi8OHDOHz4MH777TfJH8sRW7qJiBwU9ClAfq98rihMmmfLPha+VwgDDE4Fw3JnHxctWgQAyM3NdTq+bNkyTJ48WfLHs2FQQ0TkwhhlRG52rtLDIAqZLfvoaZ2a0jGlsmUfBcG94yocGNQQERHpWCRlHxnUEBER6VykZB9ZKExERES6wKCGiIiIdIFBDREREekCgxoiIiLSBQY1REREpAsMaoiIiEgXGNQQERGRLjCoISIiIl1gUENERESSWrRoEfr164ekpCQkJSXh6quvxieffCL743JFYSIiIp0zm4HqaqCuDujSBcjJAYwy7pJgMpnw3HPPoWfPnhAEAW+99Rby8/Oxbds29O3bV7bHZVBDRESkYxUVQHExcPDifpYwmYCyMqBAnv0scfPNNztdfuaZZ7Bo0SJs3rxZ1qCG009EREQ6VVEBFBY6BzQAUFtrPV5RIf8YzGYzVq9ejbNnz+Lqq6+W9bGYqSGKYGaLOSJ27iWKRGazNUMjCO7XCQJgMAAlJUB+vjxTUf/9739x9dVX49y5c2jXrh0++OADXH755dI/kAMGNUQRqmJnBYori3Gw8eJHOFOSCWVjylDQR6acNBGFTXW1e4bGkSAANTXW83JzpX/8Xr16Yfv27WhoaEB5eTkmTZqEL774QtbAhtNPRBGoYmcFCt8rdApoAKC2sRaF7xWiYmcYctJEJKu6OmnPC1R0dDQuvfRSDBo0CHPnzkX//v1RVlYmz4NdwKCGKMKYLWYUVxZDgHtO2naspLIEZos53EMjIgl16SLteaGyWCxobm6W9TE4/UQUYaoPVLtlaBwJEFDTWIPqA9XIzc4N38CISFI5OdYup9paz3U1BoP1+pwc6R97xowZGDt2LLKysnD69GmsXLkSVVVVWLdunfQP5oBBDVGEqTstLtcs9jwiUiej0dq2XVhoDWAcAxuDwfpvaak8RcJHjx7Fn//8Z9TV1SE5ORn9+vXDunXrMHLkSOkfzAGDGqII0yVRXK5Z7HlEpF4FBUB5ued1akpL5Vun5h//+Ic8d+wHgxqiCJOTlQNTkgm1jbUe62oMMMCUZEJOlgw5aSIKu4ICa9t2OFcUVgqDGqIIY4wyomxMGQrfK4QBBqfAxgBrTrp0TCnXqyHSEaNRnrZttWH3E1EEKuhTgPJx5chIynA6bkoyoXxcOdepISJNYqaGKEIV9ClAfq98rihMRLrBoIYoghmjjGzbJtIAwVNPts5I8RwZ1BCRYrj3FJFvbdu2BQA0NTUhLi5O4dHIq6mpCcDF5xwMBjVEpAjuPUXkn9FoREpKCo4ePQoAiI+Ph8G2yIxOCIKApqYmHD16FCkpKTCG0JbFoIaIws6295RrS7lt7ykWKxNd1LlzZwCwBzZ6lZKSYn+uwTIIkTBRd0FjYyOSk5PR0NCApKQkpYdDFJHMFjOyy7K9btVgWydnX/E+TkUROTCbzTh//rzSw5BF27ZtfWZoxL5/M1NDRGHFvaeIgmM0GkOamokEXKeGiMKKe08RkVwY1BBRWHHvKSKSC6efiCggobZhc+8pIpILgxoiEk2KNmzuPUVEcuH0ExGJYmvDdi3ytbVhV+ysEH1f3HuKiOTAlm4i8ktMG3ZGUgaW5y/H0bNHRU9LcUVhIhKDLd1EJBkxbdgHGw9ixNsj7MfETEtx7ykikhKnn4jIr2Daq4OZliIiCgWDGiKC2WJG1f4qrPrvKlTtr4LZYna6Ppj2alsBcEllidv9ERHJgdNPRBFOTEeTvzZsb7g6sHesJyKSHjM1RBFMbEeTrQ0buNh2HQiuDuysYmcFssuykfdWHiZWTETeW3nILsvmVB1RiBjUEEUos8WM4spij5kXT1NH3tqwxeDqwBdJ2RpPRM7Y0k0Uoar2VyHvrTy/522ctNFp6shx2iQ9IR2T1kzCodOHfK4OHO4dt9U6tcMdyomCw5ZuIvIp2I0lXduwXxn7Cm5/73a32ym1OrAUqx7LhTuUE8mL009EEUrKjSU7xHVwO5YQnYDZubOR3ys/4LEFS+mpHX9dZNyhnEheDGqIIpSto8lb4a8BBmQmZfrcWNIWRBz/7bjbdWdazmBW1aywFcAGWiMkNTHFv9yhnEheDGqIIpSvjiYxU0dmixn3fHSP3xbvg40Hw5IlCWRqR2piM0RSBJJE5B2DGqIIFsrGks9UP+MxQ+ON1FkS16me2sZaUbeTemonkAxRqIEkEfnGQmGiCFfQpwD5vfID6hYyW8wo+6ZM9GNIXQDrqRi4Y3xHUbeVemon0OJfWyDpqZi5dEyp4sXMRFrGoIaIAt5YsvpANU78diLgx1n709qQgxrbVI9rZuRY0zGft7O1S0s5tWO2mPHZL5+JOtcxQxRMIElE/jGoIaKABTuFU7q5FDlZOUFnI3xN9TgywOB0jhxTO56yRb6kJ6Sjan+VUxDDtm0iaTGoIaKAhTKFU1JZgvxe+UEFF/6memw6xndEfVO9/bLUUzveskWeGGBAalwqJq2ZhNrTF+t+1LJ2DpGeMKghooDZunjEZikchVJbIzZD9PLol5GRlOF1aieUFYfFZouAixkjTwXVts4ofwXZRCQegxoiCpgxyogJV0zAvK/mBXX7YKevxGaIMpIyvAZNoa44LDZbZBvHb+d/8xjUCBBggCGkzBUROWNLNxEFzGwxY9UPq4K+fbDTV6Gu8yLFisNiA7L/yfkfLM9f7rPtXc61c4giEYMaIgpYINkKR6EuLhfKOi9SrTgsNiC7ofsNOHr2qKhzuS0CkTQY1BBRwIJ5Ew6mA8nTXkrBLhgo1YrDgWSLuC0CUXixpoaIAhbMm3CgHUj+al8CXedFqs0kbdmiwvcK3VrHAWtw9OKoF2GMMtoDoNrGWo8ZIjnWziGKZAxqiChgYt6sM5IysDx/OY6ePRpwh5G3lmnXjqFAOqikzJp4WxXYZvr66TBGGVHQp8BrAMRtEYikZxAEwX9fok40NjYiOTkZDQ0NSEpKUno4RJpmCzwAeHyzDrZV2Wwxo2tpV6c1XRzZshv7ivcFFAyYLWZkl2X7zZoEcr/lO8pxR/kdHu8LuPg98JR1ykzKlGTtnFDa04m0Quz7t2ZqaubOnYurrroKiYmJSE9Px6233oqffvpJ6WERRSSzxYzUuFQUDy1223NJzGaYvjxT/YzXgAYIvmNI6s0kzRYzHlz/oNcxAhcLjwv6FGB/8X5snLQRKwtWYuOkjdhXvC/kgKZiZwWyy7KR91YeJlZMRN5becguy5Z9R3QitdLM9NMXX3yBoqIiXHXVVWhtbcUTTzyBUaNG4ccff0RCQoLSwyOKGN42k/xjvz8iv1d+SJmCip0VmFU1S9S5wRQrS7mZZKAbWQa6v5Y/YqfoiCKJZoKayspKp8vLly9Heno6vv32W1x33XUKjYoosnh7Iz3edBxlm8uQk5UDs8WMV//zKn4+8TN6pPbA/YPvR3SbaL/3bWu5FivYjiGpNpOUqvA4GP7a07moH0UqzQQ1rhoaGgAAqampXs9pbm5Gc3Oz/XJjY6Ps4yISS2u1EGLeSCetmYTfzv8Gs3BxrZeH1z+M6VdPxwsjX/B5/4GsfRPKWjdA4LuSe6Jku3agWSKiSKHJoMZisaCkpATXXHMNrrjiCq/nzZ07F3PmzAnjyIjECXWpfiWIeSM903LG7bhZMNu3U/AV2ASS0VBDx5CS7dpKZomI1EwzhcKOioqK8MMPP2D16tU+z5sxYwYaGhrsXzU1NWEaIZF3UizVr4RQ3yBf+voltLS2eL1ebEZjTu4cVQR+UhceB4KL+hF5prmgZtq0afj444+xceNGmEwmn+fGxMQgKSnJ6QsAXgK7pkgZUi3VL+ZxXFfiDVWob5BmwYyFWxd6vd7fSr2ANZv1ZM6TIY1DSsGubhyqUPfAItIrzUw/CYKABx54AB988AGqqqrQrVu3oO+rBRY8hR0AgJnoK9UQifwKRy2EXFNb/qZbxPj5xM9er/O1Uq/tzbtsTJni006upCo8DoSY75UapuiIwk0zmZqioiK88847WLlyJRITE3H48GEcPnwYv/32W8D3lYk4ZCEeAPAUduAp7MBz2Cn1kIncyF0LIefUlq/pFrF6pPbweb1SmY9Q2QqPJ/xugr19W25a/V4RyUkzKwobDJ7/iC5btgyTJ08WdR+2FQkXNnyPuKREp+sOoMn+f2ZvKBS+upqq9lch7608v/excdLGgDM1thVzvWWCgl2J15WnTFBGuwzUnamDBRavtzMajGh6okl0e7eWOsOUxO8VRQKxKwprJqiRgq+gxsYxuMlCPCYj+Gkuijz+pn7kWKrfRs6AyZWnN9IZn82wdzl58sjvH/Hb1k1E5InYoEYzNTXhYpuWAqwBDmtvSCyxK7zKVQsRzjZfT+u82AKWl75+yWmdGqPBKGqdGiKiUDFTIwKnpsifQKd+5NjgMJyZGl9aWluwcOvCgFcUJiLyhtNPHgQb1Ngcxjm0XKgZiEYUHkcfqYdIGhVMQCF1LYScU1tEREri9JMMOiPW/n9OTZGjYKZ+pN7gkG2+RBTpNNPSrTZZiGdbONmpZYVXtvkSUSTj9JOEWHsTGTxNGwFQ1dQP23xJCnwdkVqwpsYDuYMaG8fghrU3+uKrZRsACt8rBACPUz/MlJCWaHHTVdIvBjUehCuosWFhsb54a9l2DFoAhNTVxE/GpAZiXusMbCicGNR4EO6gxhGnprQtkJZtAEEFJvxkTGoQrpWpiQLB7ieVsRUVO3ZNccVi7Qh0I8pAu5rELtxH6qSnDFs4Nl0lEq/qwr9nRZ3NoCbMbMHNYZxjW7iGyLlar9liRnFlsccCYwECDDCgpLIE+b3yNftGqWd6y7CFc2VqImfVAMwejs8B0CrqHhjUKIRr3miLnC3b/GSsXXrMsKlleQKKFFUul28DMCDoe2NQowKO2RtbcMPCYnXJycqBKcnkt2Xb1t7tjadpCn4y1qZQMmxqnq6S6rVO5G4bgDNwz8bMcfj/gJAegUGNijB7o15SrNbrbZpi6sCposbAT8bqEmyGLZzTVcEET1yZmqRV5XI5tEyMP+x+UjnHrimAAY7Sgt2I0leLrAABHeI64MRvJ1SxcB+J82Dlgyj9ptTveSsLVmLC7yYACG+rdKjBkxybrlIkqHK5PBLAtSHfa2NjK5KTN7Gl25EWgxpHjgEOO6e8kzu1H+j9i2mRTY1LxYnfTgDgwn1aULGzAre/d7uoczdO2oicrBxU7a/CuPJx9p+zq0CDV1+vQ6mCJzVPk5FabAPQ4HJsjqcTQyI2qOH0k4Y4toVzesqzcKT2A92IUsw0xfHfjmNO7hy88d0bbmPnJ2NnSr/R2mppxMhMykT92XqfQa1NIAXhvl7n+b3yJeumk3rTVdID1w4laTIxUmFQo0G24AbgujeO1NqJIrbAt2dqT+wv3s9Pxj6ooX3aX5Dq6M4r7sT48vEeAwxv/L1e/L3OZ+fODqmbTumgkdTGXyZGPQENwKBG85i9sVLzWi+BtMjyk7F3aglaxQapxUOKseqHVQEFNIDv14uY1/kr37wi6nE8PQ81BI2kNNcgZuSFf9UVvHgTpfQASBpZiLd/AcBT2GEPcCJBIJ0o4WZrkbXVM3hiSmSLrC/+3swBoKSyBGaLp4W7pCU2SM1u73/KyZEBBmQmZfp8HYidyhTD9XnYgkbX+7cFjRU7K0TdL2nNNlinlKoufDXAmomxfV0LrQQ0AIMaXfIU3DyHnQqPSl5qXuvF1iILwGtg81vrb1j709pwDktT1BS0+gtSbcFJWnya6PsU2yot9vWbGpfqd3yOwZOagkYKhyo4BzHXwzmQ0S4GNTrmmL1pgUXX2Ru1r4Ja0KcA5ePKkRqX6vH6E7+diPhPw2aLGVX7q7Dqv6tQtb/K6Q1UTUGrryDVMTjJSMoQfZ+mJJOo6TOxr9/iocV+x+cYPKkpaCSpbbvwVeXwNRLu2Rh9YFATITxlb5Zjn8Kjko7YT89KTvHk98pHXJs4j9dF+qfhip0VyC7LRt5beZhYMRF5b+UhuyzbHuSpLWi1BamugYtjcCJm2jE1LhWf/ulT7CveJ6pmRezr/MmcJ/2Oz5GagkaSgut00hBYF73TXxDjioXCEcZb55TWC4u1sApq9YFqHDytrT2ewtEJI6YAOL9XvuqW7i/oU4D8Xvlevz9iXpNv3PwGbuh+g+jHDOR17m98jtQWNFKgPG0Eqd4OJTlx8T1yWtRP68GNmldBXfXfVZhYMdHveY4r0CopHJ0wYhYmtC1It/antSh8rxCAthYolOM1KfV92n4O/oJGrmqtFp46lNpBzu0HlMYVhT1gUOPbYZxDCywAtL2hplrX2ajaX4W8t/L8nrdx0kbFMzXhWs4/0O+JmoNWX+R4TUp9n7afOaCtoDEy2GqZHLMx8u6hpDYMajxgUCOenrI3aqGVT8OBZE9CHWcw2Su1Bq16oNWgUZ+qXC5HVhDjitskUEgcF/Wz1d1oOXujBo71EN4oXfcDBL/7dDCCqeXgAoXyCaQOh6Tmb/uBAWEdjVYxqCGf9FpYrJSCPgV4+PcP46WvX4JZuPgHzGgwYvrV01XxaTicnTC2bh41FQBHOgaN4VLlcvm2C/8OuPBv5BT3SolBDYnG7E3oKnZWYP5X893ewC2CBfO/mo9hpmGKBzbh7IRRqmuNU1gUfv46lAaEbyg6xpoaCglrb8QLZ61KKJSo/QlnLQf3N6LwqXK5HNl1MaFgobAHDGrk4xjcMHvjmRa7n4DwdcIouSYOO3wodJ4yMQxipMJCYQor1t74p6VVW20r5nrKaMjVCSN3LYead3InLXJdKwZw3zdpQHiGQnYMakhynmpvGNxob9VWvXXChLOrKxSs91GrKg/HXDuUSGkMakg2noKbLMRjMropOSzFaLHTR0+dMFrIlMld78OAKRBiMjEMaNSGQQ3JzhbcHMa5iM7eaGF/Kj1Te6ZMzB5YoQQ2LJAWo8rlMjMxWsNCYVKEY2FxpGVvuGqrMtS8orPcnXEskPbEUyYGcM/GkBqw+8kDBjXq4xjcAJGTveE0gDLUur+RnJ1xWllKIDyqXC4zE6MV7H4iTfDWNaX37I2ealW0RImuLjEkrfcxm4HqaqCuDujSBdWZZk0USMvDX10MAxq9YVBDquFYWBzJtTckr3B0dQWaiZOs3qeiAiguBg5eDGLqrksFrvd/32pYSiB0VR6OMRsTSRjUkOpEavYmWJzKCpycmbJgCnIl6YyrqAAKCwGXioIuB06IGrdalhIIDDuUyBlrakgTDuMcWmCxX2b2xoodLeoSSkFuSPU+ZjOQne2UobFfZQCyS4DaJEAwuN9UezU1VS6XuWpvJGChsAcMavQhkjunHLGjRV2kKMgNujOuqgrI815oXNEHKBwHwACnV4v6Xyueth4A2KEUeRjUeMCgRl8cszeRtt8UO1rUR6oOpqCmE1etAiZO9HlKRR+g+K5UHGy9OB2lzqUEqlwuMxND7H6iCNAZsfb/R1phsdJL/rOOx51UHUxB1ft08V8PU7ATyP/9e6juZlTRz20bgDNwz8Y4ZmIGhG00pH0MakgXHFcttgU3es7eKLnkP+t4PFN0xeKcHMBkAmpr3QqFAQAGA2AywXhdLnKNSgefVS6XmYkh6TCoIV2JlOyNUm+gci/lr2WK7u1lNAJlZdbuJ4PBObAxXKgOLi21nhd2nupimIkheUQpPQAiuZjM8WiqSsV/VyVhStU+zDbvwHLsU3pYkrC9gdoKPV0ZYEBmUqakb6BmixnFlcUe37Btx0oqS2C2eCrs1D/b3l4A3H4uYdnbq6AAKC8HMjKcj5tM1uMF4Qo2q2HNxti+zLBmY+Y4fBHJg5ka0qWtFfFYWdwBJw9efIknm85jTFkdDhTs0PzUlBKbYypdx6MFiq9YXFAA5Oc7rSiMnByZMzT+MjEAszEULgxqSHe2VsRjQWE6XBMKDbVt8G5hJorKjyK94Jjmp6bC/QaqZB2PloRjxWKfjEYgN9f9uMv2CaEFO1Uul1kXQ+rAoIYCZjEDu6tjcarOiJQuZlyWcw5qaXyxmIGVxR0uBDQuUzOCATAIWFXSAfPymxBldK670WL2JpxvoIoWwmqM6vb28rB9Akwmax2O32kpTx1KrlsPDJBooEShYVBDAfE0rdPe1IqJZccxuKDJxy3DY3d1rNPY3AgGnKhpg93Vseide04XWzKE6w1U0UJYCp6X7RNQW2s97lZvw60HSLsY1JBo3qZ1TtYasaAwHUXlRxUPbE7VictQeDqPG2r6pkQdD4XIbLZmaDy1eQuCtTOqpATIT3aZiuImkKRN7H4iUfxO6wBYVdIBSje+pHQRNwBf52Uh3v4FAE9hB56CfjqnQmGr48lIcu6wMSWZIrqdW7Wqqz3uB2UnCEBNDVA9Cs7dSQxoSJuYqSFRAp3WUcplOefQ3tSKk7VGL7v3CUg1WeuAxGD2xp3ihbAkXp3Iou26XvKOgyhMGNSQKKFM64RTlBGYWHbcOk1mEJwDG4M1BT+h9HjAhc16qL2RkuoKYcnFhbqYLkfEnd4lWtbREIULgxoSRYppnXAZXNCEovKjbgXNqSYzJpSGXtCs1+wN93PSMtfi3pEA2gE5/QFTDFDb7FYLB8A6k2yKAXJSwjFIItkxqCFRpJ7WkdvggiYMzG+StfXcW/ZGi8EN93PSGk9t1o4dShdqYowAyi4FCndYAxjHwMb2a1x6KWD0vDJ10MwCUH0KqGuxZoFyUqR/DCIPDILgqSzeu7q6Onz22WdITU3FiBEjEB19MW159uxZvPjii5g5c6bkA5VCY2MjkpOTsbDhe8QlJSo9HM2xdz8BHqd11ND9pLQDuPj8tbLujbf9nGwdTSwAVosql8sBdChV1APFe4GDzRePZcYAL/UAOraVNvjw9FimGGtwVZAW2n1TxGpsbEVy8iY0NDQgKSnJ63kBBTVbtmzBqFGjYLFYcP78eWRkZGDNmjXo29f6yfTIkSO45JJLYDYrPwXhCYOa0HlapyY1s1WSaR29sQU4aq67MVvMyC7L9rr9gW3tmX3F+zgVFVZiFrwLkGv2pP48MP1naYOPinprVsj1XcUWJ5X3ZWBDQZElqBk5ciQyMzOxdOlSnD17Fo899hjee+89bNiwAVdeeSWDmgih5hWF1eYwzqEFFvtltU1NVe2vQt5beX7P2zhpIwuDZVflclnGrQfkCD7MApC92TlIcr1vUwywbxinoihgYoOagGpqvv32WyxYsABRUVFITEzEwoULkZWVhRtuuAHr1q1DVlZWyAMn9YsyQtG2bS3pjFj7/9W4JQP3c1KSv40gB8jzsGbBOj3k6eOsAGvwUbIXyO8YWPBRfcp7QGO775pm63m57QMZMZFoARcKnzvn/Gb2+OOPo02bNhg1ahTefPNNyQZGpDe2wmJb9kYNhcXczymcvHQohXvfJLmCj7oWac8jCkJAQc0VV1yBr776Cv369XM6/vDDD8NisWDChAmSDo7IF4vFjN0HtuDU6aNISUzHZVlXIUoD82Bqyt5wPyc5ecrEOE4pKbRqr1zBh9i1brgmDskooKDmz3/+M6qqqnDfffe5Xffoo49CEAS8/vrrkg2OyJutOyuxsvIpnGw8bD/WPqkzJo6ZicF9xig4ssAonb3hfk5Sq3K57FoXMwCKkyv4yEnhmjikuIBburWMhcL6sHVnJRa8VwRvVY5F4xZoKrBx5dgWHq7OKU/r1GQmZaJ0TCnbub2qvvCvhB1K4WAr6PUXfART0GsrQAY8r4nD7icKkizdT+fOncP69euRl5eHxETnoKCxsRFVVVUYPXo0YmJigh+5jBjUaJ/FYsbDZTlOGRpnBqQmdca84i81MRXliy17YzEDv1bHY1RdN3TpAuTkuGyoLBGuKCxGlctlGTuU5FzATs7gw9uaOKVcp4aCJ0v30+LFi/Hhhx/illtucbsuKSkJr7zyCg4cOIBp06YFPmIiEXYf2OIjoAEAASca67D7wBb0zh4WtnHJoTNindYFWn7huMkElJUBBRInULifkycKdSjJvYBdQZo1cPH0GKEGHwVp1s6pYAMyrkZMIYgK5OQVK1agpKTE6/UlJSX45z//GeqYfFqwYAGys7MRGxuLoUOH4j//+Y+sj0fqcur0UUnPUzPbCs4nDzpnSw7WCri9UMAfKzwvmEehqHL5MsMaxDh+ycyWRXHtUKptth6vqJfmcQrSgP3DgI39gZV9rP/uGyZN0GQ0WDunJnSy/is2KKmot06N5X0PTNxp/Td7s3TPmXQvoEzNnj170L9/f6/X9+vXD3v27Al5UN68++67mD59Ol5//XUMHToUpaWlGD16NH766Sekp6fL9rhqE8mL36Ukivs5iz1PrSxmYGVxhwtTAy5vCIIBMAj4qCQds/N3IMqovkX9tKPK5bLCNTFyrSHjjS34UANvCwLagjnW45AIAQU1ra2tqK+v97rIXn19PVpbWyUZmCcvvfQSpk6diilTpgAAXn/9dfzv//4v3nzzTTz++OOyPa6aeNqmoL2pFRPL1L9NgRTB2GVZV6F9UmecbDwCb1WOqUmdcVnWVVIMWTG7q2OdfsZuBAMaa6JxrjoV8bkn7F1Tat6SQR1c14oBPG4EqZRIXcAu3MEc6VZAQU3fvn3x6aefYtCgQR6vX79+vX0fKKm1tLTg22+/xYwZM+zHoqKiMGLECHz99dceb9Pc3Izm5ot/IBobG2UZW7jYN5R0+cU/WWvEgsJ0VW8oKVUwFhVlxMQxMy90P3nednjCmL9pvkj4VJ248Z+qM6K3jnYLl16Vh2Mq7lCK1AXsqk/BXNuM6mygrh3Q5QyQ8ytgtP166zWYI8kFFNTcfffdmD59Ovr27YubbrrJ6bqPPvoIzzzzDF566SVJB2hz7NgxmM1mdOrUyel4p06dsGvXLo+3mTt3LubMCcMceBiImY5YVdIBA/ObVDcVJXUwNrjPGBSNW+C2Tk1qUmdMGPM3Tbdz26R0Ebd/mut5tnVvHIObyMre+MvEAKoNaICIXcCuYvcxFJcAB5MvHjM1AGWVQMFOhxP1FsyR5AIKau655x58+eWXuOWWW9C7d2/06tULALBr1y7s3r0b48aNwz333CPLQIMxY8YMTJ8+3X65sbERmZmZCo4oeGKmI07UtMHu6lhV7cskVzA2uM8YDOw1UpMrCotxWc45tDe14mSt0fp9cmUQkGqyTuF54rion/6zN1Uul1WcifFHjgXsVN5NVLGzHoV1tRBcunRrk4DCcUD5ew6Bjc6COZJewHs/vfPOO8jPz8eKFSuwe/duCIKAXr16Yc6cORg3bpwcYwQAdOzYEUajEUeOHHE6fuTIEXTu3NnjbWJiYlS7Zk6gApmOUBOxwdiuqlhEGRFQvU1UlFHzbdveRBmBiWXHrRkug+Ac2Bis73YTSo/7/R5525JBu9kbT5kYQFV1MaEwGqxt24U7vM2uWluuA+kmkrM1PERmi4Diyr2+PvOgZAyQ/xNgzOBqxORfQEGN2WzG/Pnz8eGHH6KlpQU33XQTZs+ejbi4OLnGZxcdHY1Bgwbhs88+w6233goAsFgs+OyzzyJiXZxgpyOUJjbIWjguHWdPXDw3lOJnixnYVRWLXVXWN/TeuefQO9d3kKTGjrLBBU0oKj/qVouUajJjQmng3xvHqSltZW+qXC5rOBMjhlRryGigm6j6wCkcbPReGC0YgJpkoDoLyH0xgGCOIlZAQc2zzz6L2bNnY8SIEYiLi8Mrr7yC+vr6sO3OPX36dEyaNAmDBw/GkCFDUFpairNnz9q7ofQs1OkIpYgNss6ecF4yKdh6m60V8Vh+T0ecPX4xIvnoaSChgxmTlxzzeF9q7igbXNCEgflNkgZcWV4Ki9WRvdl24V8VdyiFgxQL2Gmgm6jutLgambq/mRQPwEgbAgpq/vnPf2LhwoW49957AQCffvopbrzxRixduhRRUQGt4xeU8ePHo76+HjNnzsThw4cxYMAAVFZWuhUP65FU0xFyc814XPp7P8GY/a9u6PU2WyviseB2z+vTnD0ehQW3p6PofecgSQsdZVFGyFYnpY7amyqXyyMBtIMqNn90Fc76lFDWkAm1NTxMz7NLorgamSOXx8BsEWCMYqaGfAto76eYmBjs3bvXqdg2NjYWe/fuhclkkmWAUtLD3k+esgqpma1BTUdI7T//isfb93fEmWPO00hDJ5xB5fwLbQ1OgY3tI6Nvj22s8/umbjEDD3XNxKlao4/7tGaz5u2vQZTRepuHszMvrNjrPfs1b1+N4sFiOMm/oaa/rQdUSuX1KU5WHbGuyOvPyj7WVX8dhfF5mi0Csss2o7ax2WNSyZEpKQZlYy5FQR+Vfa8pLGTZ+6m1tRWxsbFOx9q2bYvz588HN0oKmBzTEVJ499H2qJyXDNfg4ORBIyrnJ2PMww34ZlU7p2AsIdXiVEfjzXdr4/0GNburY3Gq1t/L2YATBy92iGm1o0xu0mdvPAUxMm4EKQep61PkzoQE2xou5fMU8RyNUQaUjbkUhe/tcKuLdlXb2IzC93agfFxfBjbkVUBBjSAImDx5slNH0blz53DfffchISHBfqyiokK6EZIbOacjgrGlPP5CQOOJARAE/Gd1O7zwcw32fnUxGLOYgXkjuvi9/80r2uHO+Sd8Bm6BdH3ZztVqR1m4BN85JSYTM0CCEYaJ1PUp4ciEBNMaLuXzDOA5FvRJQ/m4viiu3Ou7aNg2hMq9yO/VUb6pKJW3wJNvAQU1kyZNcjv2xz/+UbLBkPZYzMDb93eE72kka8Zj71fOGQ+LGUhMM+N0ve+g4XS90W+2JJCuL9u5Wu0oU4Kn7E00ovA4+lw4o8rlFhrLxPgi5dYF4epICqY1XKrnGcRzLOiThvxeHfHqfw7iwXU/+x5CYzOqD5xCbrYMKwtraYqRPAooqFm2bJlc4yCN2l0d6zcosfnxs1inqbIoIzDsrjPYUOoty3ORv2zJZTnnkJLRKqqmxtYhptWOMiV5yt7MhG0HZcdszIBwDit4Yj6VS7V1Qbg7kgJtDZfieYbwHI1RBnRKEDdtJrZrKiAaaIEn/+RvWSJdC2Rq5qOn2+Ph7ExsrbjYUjwwX1xxs79sSZQRuOuV4xcuefuLCkwoO+4UVE0su3Abg8ttVNRRplYXW8PnQBOFvq4q6oHszUDe99ai2rzvrZcr6p3Pk2rrgkAyIVIpSAP2DwM29rcWBW/sD+wb5vnNWYrnGeJzFNsNJfY80fwFY4A1GDOL7qshhTCooZAEOjVja5XeUh6PXVWxOFFrRGKaGV5LBA0CUjNbRWVLBhc0oej9o0joYHG7rl0Hi1s7t/025UfRPsP5eaSazKpo5yaZ2D6Vu74B2z6VOwY2tvoUb8kTA4BMEavdKrVZpa01fEIn67/eskBSPM8Qn2NOVgpMSTG+h5AUg5wsH2MIhhIBJ8ki4G0SiBzZp3C8tUW7EqwT/IvuTIdgdm3vdmnxvpAtufOl46K7vazdYQfw42ex+Ortdmg+Y0DPa5sx4oFGtPHy4U6tHWXaUQGgQOlBiBfoFIlUWxeofbNKKZ5niM/RVzeUfQhjLpW+SDhSd0fXIWZqKCT2KRwD4Lsh05HBJaDxLNVkxpiHG7DqwQ54Pq8LFk9Mx/N5XdymsFx9tzYeb/4lDV+/k4jv1rTDuw93wKM9fN/G1lE2bMJZv1sqkLPlOKb0EAITzKdyW31KhstecqYY8bUWUmV85BTq85TgOdq6oTKSnMdgSoqRr51b7QEniRbQ4ntap4fF99TK06KAgROQmGbBhJePo32GGY31UVg03rbar3sGx9P0kPMKweJuQ8E7gCZkIRqTcY/SQxEvlIXpQm33tU17AZ7TEGopRg3leUr0HM0WAdUHTqHudAu6JEYjJytF3jbu7M3+W+D3DWN7t0LELr7HTA1JYnBBE+bvr8FjG+tw8/+cDPJeDDhdb0T7DOv0z+rpHdyDE8DeqbSqpAMsDqUwFjOwsjiw21DoDkBjKflQPpWLrU/xRoqMTziE8jwleo7GKANys9tjwu86ITe7vbxbJNim3gD3LFMwu6OTYlhTQ5KxTeFclnMOm5Yn+tjvybdTdcagVvvlCsHhl4V4p20VNCGYhemkFOpmlVqgxeco1e7opCgGNRrhulGkmgtZfW6+KUJKF3NQq/1yhWAlbYJmds+WqvA31DEEu1mlVmjxOWoxGCMnnH7SgK0V8Xg4OzOgYlmleWuVNhhtXU4eOLRvi20VP7Knrf3/XCFYOcvxo9JDCIxWpoEo/EKdYiRFMVOjcs6FrxfZ1ntRc+Grp1Zpe/EvXDI4LovdiV0h+Ms3EnHzk6fst+EKwSQaP5UT6Q4zNSqmh8JX11bpIXeIW+wuygjk3tMIv3tKXdh123YbrhCsDM0VC9vwUzmRrjBTo2LBFr6qvf5G7GJ3nXq2iro/xxoZ27SXa3t5qsmMCaXHVZvV0jJNFgtrmVS7SHM3atIhBjUqFkzhq6f1YtqbWjGxTF1v6LYMji/B1shwhWDSLal2keZu1KRTnH5SsUDf1G31N9YtCy6y1d+oubDYE1uNjNtUko2PfaG4QrASKpQegL5526/qoIf9qoK5H0/7XhFpDIMaFQvkTV0P9TeuWCNDdIGv/aoA6/F7fvK/izR3oyadY1CjYoG8qV+sv/EyJ+5Qf2MxA7uqYrF5VQJ2VcWqOtDhLtra8RQOKT0E/fK3XxUAHG8Fnvk1tPvR6m7UZgGoOmndAqPqJIOyCMaaGpUTW/gqtv7mu7XxWPKnNNXX3DhijYz6sVhYZmJ3hy47CDzZ1XvBrxy7UTsWHKe3BWAAjoax+Jj1QeSAQY0GiHlTF1t/s6HUfSMwLax5I6awmEi3xO5XdaLVGmB4W8lX6t2oPQUUjuQOLmz1Qa6JGVt9kK+FFNn9pUucftIIf4WvfutvIFxYzRfQS80NqRGLhWWRkwKkivwM6ivLYtv3ytt7twFApsh9r7wVHDsKtvhYzHRSKPVBFfXWXbnzvrfu2J73vfUyi6Q1j0GNToipvxHMBoipuSEilTEagOIMcef6yrJItRu1v8Jlm2CKj8UGHMHWB7H7S9cY1OiIr6LakSWNou6Dmz0SqdST2UAHH9kasVkWKfa9ElO4bBNI8XEgAUdtEPVB7P7SPdbU6Iy3+pvd1bHYUJrs9/bc7JFC8RQOYabSg9ArowFY0gu4fYf7dYHuLh7qvleBFBKLvY2/gMMAa8CR3xFYe8z6fzEcM1eBZHe0tsM4AWBQo0ueimq52SPJjR1QXkhZkFqQBrzf13O3T2mABbm2fa+CIbaQOJDbiA04ntkPzP7V/9SXAdbvi2PmSo7uL1IVBjURwlZzs6Aw3Vpj42OHbD1T+75Y+jALwBylB6EOcrQbq2F3cVvBcW1zcMGFJ6Lb1mvFPSbgnrmSuvuLVIdBTQSJ9M0etbIvFulEKO3G/oSSZZGCreC4cIc1gPAWZAQyLRZI27o/HdsCr1/m/v31F4yJDcBItRjURJhIXcjOti+W6x8yLazRQxoUSH2IVtdGsRUc+1unRuy0mJiAo30bcUHNyz08P6avYCzQuiRSJQY1ESjSFrLzuy+WQcCqkg4YmN+k++AuHJ5CGouFI6Ug1XUqLJQVhcUEHMUmYNZ+//fl2tnlOmZPwVgwdUmkOgxqSPcu7ovlhcMaPZEU7MmBxcIXRFJBqpRTYf4CjvyOwBt1oU8fqaEuiWTBoIZ0T+zaO1yjhySj94JUObcY8BdwSDV9pHRdEsmCQQ3p3pE94l7mXKNHShHeAaXngtRwbCDpK+Dg9BH5wKCGZKdkG7XFDFQtScLF6kxPuEYPSUyvBalydnQFgtNH5AWDmgihVGChdBv17upYnKr19zI34Lqpp1kkLKHlyMBkpQehNL1lFOTu6Ap0SovTR+QBg5oIEEhgIWXwo4Y2arF1Mp16npd1HJGExcIO9JRRkLOjKxxTWhQRGNToXCCBhZRZFbW0UYutk2E9DclGLxkFuTq61DKlRbrAXbp1zG9gAWBVSQdYzBeDn5MHnSMMW/CztSI+oMe+2Ebt5ROpQxu1nGx7Xtm2gnBjEJCa2cp6GllsUnoAJCU5Orq4azZJjEGNjokNLHZVxYoOfsRSSxu1bc8rAO6BTQTteUUUMltHl7eZMwOAzAA7ugKZ0pKaWQCqTgKrjlj/ZeCkCwxqdExswLCrSvqsipqmfWx7XrXPcH6sVJOZ2yMQiWXr6ALc/1TYLr/YwxqAiAkUzALw2Ulxjy31IoUV9UD2ZiDve2DiTuu/2Zutx0nTWFOjY1IHDIFkVWzTPidrjc47gtsYwttGHal7XinpKWzHTExTehgkJV8dXXemA9N/Flfs66kw2BcpFylkDY+uMajRMbGBRe/cc/joaf/3F0iQZJv2WVCYbp3mcXx8haZ9Im3PKyWxA0pnXNutfx4KfNVw8fKx88C4H8UFCt6CCk88LVIYymrGkbDRaITj9JOOia0n6Z0rTzGt3qd9LGbr1N3mVQnYVRUbUM0RkWZ4mqrp8Y11t+wJnaxBxYM/iyv29RVUuPK0SGGo00Zy1PCwNkdVmKnROVtg4dqqnWoyY0LpxVZtubIqep32UXpRQe3YBOBapQdBwRIzVZPaJrBAQeyUUxSA6Zn+MzyBTBtJ3ZbO9XVUh0FNBBATWIgNfoKht2kfNSwqSCQ7sVM1c7uLu79Ai33NAObXAMOSrNNBUkwbSdmWztocVWJQEyHEBBZ6zapISS2LCmoFi4U1TOxUTb3IYCXYYt+SvUByANkgXwsdSrXRqJj1dYpZm6ME1tSQE1vwM2zCWfTOlTeg0WJNiloWFdSCLAS2YCOpjNjMSlpb8evX+FvrxpUtWKmSqPVbTFu6mI1G/QV8gPX6Z371fQ5JjpkaUoRWa1LUsqggkezEZlYyYgLbkdzbuVIQM+ZANhr11mklNuCbtR+4IoHTUGHETA2FndRbMoSTmhYV1I7tSg+AghHICsK2QCEjxvkcU4x7bYm3c33JDWAsYhSkAfuHARv7Ayv7WP/dN8x5nL46rQKZSuM2D2HFoIbCKpD9qNSIe0kF44zSA6BgBDpVIyZQsLGd+2l/a/eUN7ZgJbe9dSze6mBcxyKGbaPRCZ2s/zre1lYE7DrFZCsCPnbeGmSJIdc2D+QRgxoKK63XpHAvqcA9xUyNdgWSgQF8BwqujAbghvbAG72sfw7EBE4dPARAqW2k7TQSUwQ8/WfgpR7i71PqbR7IKwY1FFZ6qEnR+6KCUmKxsA4EkoEJ9v79BU62zMnxVvfbn/BwLBRiu77S2gJzuoq7Tym3eSCfWChMYaWXmhS2v1NEsWVg5FKQZm1/9lSUK2YVYim3Nghkgb4ns4EldUCtl9uIbREnyTCoobAKZqNLixmqDB70tqigvLYDGKDwGEjVvAVOgWxtIEXgFcgCfUYD8EpPaxbJNhabYGt9KCQMaiisAt3oUqut30SaFcqGkXKQemsDfwJdoC+QFnGSHWtqKOzE1qRoufWbXP2i9ABIjFA3jPQk1A0fpdzaQIxgFuiTu+6IRDMIghAxDfSNjY1ITk7GwobvEZeUqPRwwkKtUzeA77FZzMDD2ZkXAhrv01Tz9tWo5vmQdwfQxO0S1M7bXka2X79gOoyk2PDRLFgDK3+Zk33DpM0oeRp7JrMvSmlsbEVy8iY0NDQgKSnJ63mcftIxtU/d+KpJudj67YVD6zfrWohCJHbzykCKcaXa8NGWORG7YrFUfBUvk2px+kmntD51o4fWbyLNCKQYVwwxa70EstJuoOvlSCWQdXdCnWYjSTBTo0N62ElaL63f5Gg72AGlUlIX48rRsaTmzIkU02wkCWZqdEjrq/YC3I6AKKykLsaVq2MpkMxJuPjbUiGUImsKGIMaHVLj1E1rC7C+NAnvPJCK9aVJaPXzt4zbEejPU9ik9BDIm0A2rxQjkCApkGkbOaZ4QrlPqafZKGScftIhtU3dvPtoe6x7KRmC+eJfzNUPp2L09AaMf+Gk19vZWr9di51TTWZMKFVHsTOJk4V4HAB/XqoldTGu2LVejp23djaJmbaRY4on1PsM98KA5BeDGh0KZtVeubz7aHtUzkt2Oy6YYT/uL7DhdgREYSDlInJigqQ704FxP4rrjpKqk8qRFPcZ7oUByS9OP+mQWqZuWluAdS/ZAhrPq1iteylZ1FRU79xzGDbhLHrnMqAhko2Ui8j56lh693Jg1VFx0zZyTPFIdZ/hXhiQ/GJQo1Nq2En684VJF6acvE/UC2YDPl/ofSElIgqzUItxHWtUUtsAPw91D5LS2oqftpG63RyQ7j6lrkWikHH6SceUnro5+rO4l5fY80j7nsJrXFlYz3zVqEzodPGYHNM2cpzr7zylFgYkrzSRqdm/fz/+8pe/oFu3boiLi0OPHj0wa9YstLRwntIfJadu0nu0SnoeaVsW1L3gI4UokNbmQKZt5JjikfI+lVoYkDzSxEfkXbt2wWKxYPHixbj00kvxww8/YOrUqTh79izmz5+v9PDIi+vvb8Tqh1MhmAHP+VkBBqP1PCLSsEC3WQh0J+xAzhUj0Mf3R80LA0YYTWRqxowZg2XLlmHUqFHo3r07brnlFjz88MOoqKhQemjkQ5toYPT0hguXXP9yWC+PKmnA3q9isXlVAnZVxcLCBYKJtCfQGpVAdsIOZtdsf+S6T7UtDBiBNBHUeNLQ0IDU1FSf5zQ3N6OxsdHpi8Jr/AsnMeaRBhhcpr0MRmBAfhP+8247PJ/XBYsnpuP5vC54ODtT9ftSEZGLYGpUApm2kWOKh9NGumQQBEFzSx3u3bsXgwYNwvz58zF16lSv582ePRtz5sxxO76w4XvEJSXKOURy0dpi7YY6+nMbpPdoRXKXVrw+Id19f6oLLef+OrQsZnDtGg06gCZEw4DHUaT0UEhKVSeBvO/9n7exv/sidGZB/LRNIOeKJcd9kuQaG1uRnLwJDQ0NSEry3jGraFDz+OOP4/nnn/d5zs6dO9G7d2/75draWgwfPhy5ublYunSpz9s2NzejufliSrSxsRGZmZkManwIR7BgMQMPZ2de2EHc++KA8/bVeHzsrRXxbqsMtze1YvjU0+jU8zyS0q1zWI1HGfCo0QE0sQNKb8yCdWVgfzUq+4YxYKCgiA1qFC0UfuihhzB58mSf53Tv3t3+/0OHDiEvLw+///3vsWTJEr/3HxMTg5iYGL/nkZW3YGFimbRbElzccNMLhw03e+c6r3q8tSIeCwrT3f5wnjxoxJpZnpchl+M5EJEDtjaTSiga1KSlpSEtTdy8ZW1tLfLy8jBo0CAsW7YMUVGaLQdSJa/BQq0RCwrTJV2wL9gNNy1mYGVxB/cpK3i6fJEcz4GIXEi5zQJRkDTR0l1bW4vc3Fx07doV8+fPR339xfUOOnfurODI9MFnsCAYAIOAVSUdMDC/SZJpnGA33PSb4fFGhudARB6wtZkUpomgZsOGDdi7dy/27t0Lk8nkdJ0G65xVJ5TpoGAEu+Gm2AyPRxI/ByLywtbaTKQATczhTJ48GYIgePyi0AU7HRSsYDfcFJvh8UWq50CheQqvKT0EItIhTQQ1JK9gp4NCEcyGm7YMj1sgFAApnwMFh9slEJFcNDH9RPIKdjooVIFuuGnL8CwoTLcGNp7G6o1Mz4GIiNSDmRoKejpIqscOZMNNbxkez4tjXCDzcyAiUi2zYF0ccdUR679mfZdtMFNDAC4GC67r1KSazJhQqq41XlwzPEf2tEHVkiScqvX8clbjcyAikl1FvecW+zL9tthrcpuEYDU2NiI5OZkrCvug1e0HHMfNFYXV7wCsASZXFtYBbjOgThX11sUQXd/hbT8aje1vpYkVhUl9bNNBWqPGcWs1QAyHLMTbAxvSsAjMBGiCWbD+XDylLARYA5uSvdY1hXQWgDKoIc2zBQ8nao04U29EYpoZ7TOUDSLCteUEkWK8ZQJqm63HNZYJ0JXqU86BpisBQE2z9TydrSnEoIY0zVPwYKNUEBHOLSeIFBHBmQBNqGuR9jwNYfcTaZYteLDu9u3u5EFrELG1InzrovjdcgLAqpIOsHC5HNKyQDIBFH5doqU9T0MY1JAm+d7c0ib8QcTFLSe8jMlhuwYizYrgTIAm5KRYa5t8/WnMjLGepzMMakiT/AYPNmEOIsK95YTWPYcFSg+BghHBmQBNMBqsxdqA+59I2+XSS3U5NcighjQp0KAgXEGEEltOaBW3S9CwCM4EaEZBmrVYOyPG+bgpRtdF3CwUJtUIpAU60KAgXEGEUltOaFWLr5WgSb1smYDCHdYAxvHHqPNMgKYUpFmLtSNoHSEGNaQKgbZA24OHg0b4nIIKcxDhc38qbtdAemLLBHhap6aU69SohtGgu7ZtXzj9RIrz1sVka4H21L1k36/KAHjf90mZICKYHciJNKkgDdg/DNjYH1jZx/rvvmEMaEgx3CaBFGUxAw9nZ3rPuFzItMzbV+MxMPG1Tk1qZquiez5xRWH/DqAJ0TDgcRQpPRQiUjFuk0CSkusN+mIXkxcO3UuetkFw3NxSTSsKA+rcukFtohEFnzusExEFgEEN+SXnkv9StEAzeNA2FgsTkVRYU0M+BVPvEgi2QEe2zuAihEQkHQY15FU4lvy3dTHZOoPcGASkZrayBZqIiPxiUENehWPJf3sXE+Ae2LAFOmIsxxKlh0BEOsCghrwK15L/bIGObNGIwmGcV3oYRKQDLBQmr8JZ7+LYxcQWaCIiCgaDGvIq3Ev+s4spMnVGLA6A2TgiCh2nn8gr1rsQEZGWMKghn1jvQuGzSekBEIWHWQCqTgKrjlj/NXOtJqlw+on8Yr0LhcNy/IjJuEfpYRDJq6Le8yagZdwEVAoMakgU1rsQEYWooh4o3OG+M0hts/V4eV8GNiHi9BMRKS4aUTiAFqWHQSQfs2DN0HiaabIdK9nLqagQMaghIsVxuwTSvepTzlNOrgQANc3W8yhoDGqIiIjkVicyEyn2PPKIQQ0RqQa3SyDd6hIt7XnkEYMaIiIiueWkWLucvGylBwOAzBjreRQ0BjVEpBosFibdMhqsbduAe2Bju1x6qfU8ChqDGiJShSzEKz0EInkVpFnbtjNinI+bYtjOLRGuU0NERBQuBWlAfkdrl1Ndi7WGJieFGRqJMKghIpWpAFCg9CCI5GM0ALntlR6FLnH6iYiIiHSBQQ0RqcpTOKT0EIhIoxjUEJFqsFiYiELBoIaIiIh0gUENEanQLKUHQEQaxKCGiFSov9IDICINYlBDREREusCghohUhx1QRBQMBjVEpCrsgCKiYDGoISKV2q70AIhIYxjUEJFKfaD0AIhIYxjUEBERkS4wqCHSMIsZ2FUVi82rErCrKhYWs9Ijks5TSFN6CESkMdylm0ijtlbEY2VxB5w8ePHXuL2pFRPLjmNwQZOCIwtdFuJxANp+DkQUfszUEGnQ1op4LChMx8mDRqfjJ2uNWFCYjq0V7CAiosjDoIZIYyxmYGVxB0AAAIPzlYL18qqSDjqZiuJ2CUQkHoMaIo3ZXR17YcrJ4PkEwYATNW2wuzo2rOMiIlIagxoijTlVZ/R/UgDnqRmLhYkoEAxqiDQmpYu4eSWx56kVVxYmokAxqCHSmMtyzqG9qRUwCJ5PMAhIzWzFZTnnwjswIiKFMagh0pgoIzCx7Lj1gmtgc+HyhNLjiNL+7NMFm5QeABFpBIMaIg0aXNCEovKjaJ/hPMWUajKjqPyo5tepcbZB6QEQkUZw8T0ijRpc0ISB+U3YXR2LU3VGpHQx47KcczrK0BARBYZBDZGGRRmB3rn6rp15CmmYqfQgiEgTOP1ERKrFDigiCgSDGiIiItIFBjVEpAHsgCIi/xjUEBERkS4wqCEi1XsK25UeAhFpAIMaIlI1FgsTkVgMaoiIiEgXNBfUNDc3Y8CAATAYDNi+fbvSwyGisGGxMBH5prmg5tFHH8Ull1yi9DCIiIhIZTQV1HzyySdYv3495s+fr/RQiCjsjio9ACJSOc1sk3DkyBFMnToVa9asQXy8uMLB5uZmNDc32y83NjbKNTwiklEW4vEUDnG7BCLySROZGkEQMHnyZNx3330YPHiw6NvNnTsXycnJ9q/MzEwZR0lERERKUjSoefzxx2EwGHx+7dq1C6+++ipOnz6NGTNmBHT/M2bMQENDg/2rpqZGpmdCROGxXekBEJGKKTr99NBDD2Hy5Mk+z+nevTs+//xzfP3114iJiXG6bvDgwbjrrrvw1ltvebxtTEyM222IiIhInxQNatLS0pCWlub3vFdeeQVPP/20/fKhQ4cwevRovPvuuxg6dKicQyQiIiKN0EShcFZWltPldu3aAQB69OgBk8mkxJCISAFPYRNmYprSwyAildJEoTAREbdLICJ/NJGpcZWdnQ1BEJQeBhEREakIMzVEpDHblR4AEakUgxoiIiLSBQY1RKQpT3FjSyLygkENEWkGi4WJyBcGNURERKQLDGqIiIhIFxjUEBERkS4wqCEizXkKryk9BCJSIQY1RKQpLBYmIm8Y1BAREZEuMKghIiIiXWBQQ0RERLrAoIaINGqW0gMgIpVhUENEmpOFeDyFNKWHQUQq00bpAYSTIAgAgN8azyg8EiIK1Tn8hka0Kj0MIgqDxkbr77rtfdwbg+DvDB05ePAgMjMzlR4GERERBaGmpgYmk8nr9REV1FgsFhw6dAiJiYkwGAxKD8ejxsZGZGZmoqamBklJSUoPJyLxZ6A8/gzUgT8H5fFnYCUIAk6fPo1LLrkEUVHeK2ciavopKirKZ4SnJklJSRH9AlYD/gyUx5+BOvDnoDz+DIDk5GS/57BQmIiIiHSBQQ0RERHpAoMalYmJicGsWbMQExOj9FAiFn8GyuPPQB34c1AefwaBiahCYSIiItIvZmqIiIhIFxjUEBERkS4wqCEiIiJdYFBDREREusCgRgOam5sxYMAAGAwGbN++XenhRIz9+/fjL3/5C7p164a4uDj06NEDs2bNQktLi9JD070FCxYgOzsbsbGxGDp0KP7zn/8oPaSIMXfuXFx11VVITExEeno6br31Vvz0009KDyuiPffcczAYDCgpKVF6KKrHoEYDHn30UVxyySVKDyPi7Nq1CxaLBYsXL8aOHTvw8ssv4/XXX8cTTzyh9NB07d1338X06dMxa9YsfPfdd+jfvz9Gjx6No0ePKj20iPDFF1+gqKgImzdvxoYNG3D+/HmMGjUKZ8+eVXpoEWnLli1YvHgx+vXrp/RQNIEt3Sr3ySefYPr06Xj//ffRt29fbNu2DQMGDFB6WBFr3rx5WLRoEX755Relh6JbQ4cOxVVXXYXXXnsNgHXPtszMTDzwwAN4/PHHFR5d5Kmvr0d6ejq++OILXHfddUoPJ6KcOXMGAwcOxMKFC/H0009jwIABKC0tVXpYqsZMjYodOXIEU6dOxdtvv434+Hilh0MAGhoakJqaqvQwdKulpQXffvstRowYYT8WFRWFESNG4Ouvv1ZwZJGroaEBAPi6V0BRURFuvPFGp98H8i2iNrTUEkEQMHnyZNx3330YPHgw9u/fr/SQIt7evXvx6quvYv78+UoPRbeOHTsGs9mMTp06OR3v1KkTdu3apdCoIpfFYkFJSQmuueYaXHHFFUoPJ6KsXr0a3333HbZs2aL0UDSFmZowe/zxx2EwGHx+7dq1C6+++ipOnz6NGTNmKD1k3RH7M3BUW1uLMWPG4I477sDUqVMVGjlReBUVFeGHH37A6tWrlR5KRKmpqUFxcTFWrFiB2NhYpYejKaypCbP6+nocP37c5zndu3fHuHHj8NFHH8FgMNiPm81mGI1G3HXXXXjrrbfkHqpuif0ZREdHAwAOHTqE3NxcDBs2DMuXL0dUFD8LyKWlpQXx8fEoLy/Hrbfeaj8+adIknDp1CmvXrlVucBFm2rRpWLt2Lb788kt069ZN6eFElDVr1uC2226D0Wi0HzObzTAYDIiKikJzc7PTdXQRgxqVOnDgABobG+2XDx06hNGjR6O8vBxDhw6FyWRScHSRo7a2Fnl5eRg0aBDeeecd/iEJg6FDh2LIkCF49dVXAVinQLKysjBt2jQWCoeBIAh44IEH8MEHH6Cqqgo9e/ZUekgR5/Tp0/j111+djk2ZMgW9e/fGY489xqlAH1hTo1JZWVlOl9u1awcA6NGjBwOaMKmtrUVubi66du2K+fPno76+3n5d586dFRyZvk2fPh2TJk3C4MGDMWTIEJSWluLs2bOYMmWK0kOLCEVFRVi5ciXWrl2LxMREHD58GACQnJyMuLg4hUcXGRITE90Cl4SEBHTo0IEBjR8Maoi82LBhA/bu3Yu9e/e6BZJMcMpn/PjxqK+vx8yZM3H48GEMGDAAlZWVbsXDJI9FixYBAHJzc52OL1u2DJMnTw7/gIgCwOknIiIi0gVWPBIREZEuMKghIiIiXWBQQ0RERLrAoIaIiIh0gUENERER6QKDGiIiItIFBjVERESkCwxqiIiISBcY1BCRak2ePNm+c3p0dDQuvfRSPPXUU2htbQVgXdl5yZIlGDp0KNq1a4eUlBQMHjwYpaWlaGpqAgDs2LEDt99+O7Kzs2EwGFBaWqrgMyIiOTGoISJVGzNmDOrq6rBnzx489NBDmD17NubNmwcA+NOf/oSSkhLk5+dj48aN2L59O/72t79h7dq1WL9+PQCgqakJ3bt3x3PPPcc9u4h0jtskEJFqTZ48GadOncKaNWvsx0aNGoXTp0/jwQcfxPjx47FmzRrk5+c73U4QBDQ2NiI5OdnpeHZ2NkpKSlBSUhKG0RNRuDFTQ0SaEhcXh5aWFqxYsQK9evVyC2gAwGAwuAU0RKR/DGqISBMEQcCnn36KdevW4frrr8eePXvQq1cvpYdFRCrCoIaIVO3jjz9Gu3btEBsbi7Fjx2L8+PGYPXs2OHNORK7aKD0AIiJf8vLysGjRIkRHR+OSSy5BmzbWP1uXXXYZdu3apfDoiEhNmKkhIlVLSEjApZdeiqysLHtAAwATJ07E7t27sXbtWrfbCIKAhoaGcA6TiFSAQQ0RadK4ceMwfvx4TJgwAc8++yy2bt2KX3/9FR9//DFGjBiBjRs3AgBaWlqwfft2bN++HS0tLaitrcX27duxd+9ehZ8BEUmNLd1EpFqeWrodWSwWLFmyBG+++SZ27NiBNm3aoGfPnvjzn/+MqVOnIi4uDvv370e3bt3cbjt8+HBUVVXJ+wSIKKwY1BAREZEucPqJiIiIdIFBDREREekCgxoiIiLSBQY1REREpAsMaoiIiEgXGNQQERGRLjCoISIiIl1gUENERES6wKCGiIiIdIFBDREREekCgxoiIiLSBQY1REREpAv/H3cCgH+cw5oiAAAAAElFTkSuQmCC\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# Visualising the Test set results through scatter plot\n",
        "X_set, y_set = X_test, y_test\n",
        "\n",
        "X1, X2 = np.meshgrid(np.arange(start=X_set[:, 0].min() - 1,\n",
        "                               stop=X_set[:, 0].max() + 1, step=0.01),\n",
        "                     np.arange(start=X_set[:, 1].min() - 1,\n",
        "                               stop=X_set[:, 1].max() + 1, step=0.01))\n",
        "\n",
        "plt.contourf(X1, X2, classifier.predict(np.array([X1.ravel(),\n",
        "                                                  X2.ravel()]).T).reshape(X1.shape), alpha=0.75,\n",
        "             cmap=ListedColormap(('yellow', 'white', 'aquamarine')))\n",
        "\n",
        "plt.xlim(X1.min(), X1.max())\n",
        "plt.ylim(X2.min(), X2.max())\n",
        "\n",
        "for i, j in enumerate(np.unique(y_set)):\n",
        "    plt.scatter(X_set[y_set == j, 0], X_set[y_set == j, 1],\n",
        "                color=ListedColormap(('red', 'green', 'blue'))(i), label=j)\n",
        "\n",
        "# title for scatter plot\n",
        "plt.title('Logistic Regression (Test set)')\n",
        "plt.xlabel('PC1')  # for Xlabel\n",
        "plt.ylabel('PC2')  # for Ylabel\n",
        "plt.legend()\n",
        "\n",
        "# show scatter plot\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 472
        },
        "id": "qCJdxqoHLUxE",
        "outputId": "18f50361-0ffb-4285-e483-7f89b0fb883e"
      },
      "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": "code",
      "source": [
        "# plot the first two principal components with labels\n",
        "colors = [\"r\", \"g\", \"b\"]\n",
        "labels = [\"Class 1\", \"Class 2\", \"Class 3\"]\n",
        "for i, color, label in zip(np.unique(y), colors, labels):\n",
        "    plt.scatter(X_train[y_train == i, 0], X_train[y_train == i, 1], color=color, label=label)\n",
        "plt.xlabel(\"Principal Component 1\")\n",
        "plt.ylabel(\"Principal Component 2\")\n",
        "plt.legend()\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 449
        },
        "id": "kWCUU6MWLV4F",
        "outputId": "e72570cf-db3c-4546-b527-453c7ce285fa"
      },
      "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": {}
        }
      ]
    }
  ]
}