{
  "cells": [
    {
      "cell_type": "code",
      "execution_count": 1,
      "metadata": {
        "id": "BawzSl9MfoTD"
      },
      "outputs": [],
      "source": [
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "from sklearn.linear_model import LinearRegression\n",
        "from sklearn.preprocessing import PolynomialFeatures"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 2,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "rLZrVVqFfoTI",
        "outputId": "73cf7ab1-f68b-4523-b3bf-018bd5ad5524"
      },
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[ 2.,  3.,  4.,  6.,  9.],\n",
              "       [ 4.,  7., 16., 28., 49.]])"
            ]
          },
          "metadata": {},
          "execution_count": 2
        }
      ],
      "source": [
        "\"\"\"\n",
        "Remember: to do polynomial regression (e.g. y ~ Ax^2 + Bx + C), we just transform the data and apply linear regression.\n",
        "So for example sample (x_1, x_2) becomes (x_1, x_2, x_1^2, x_1x_2, x_2^2).\n",
        "Here is the demo using scikit_learn:\n",
        "\"\"\"\n",
        "\n",
        "poly_f = PolynomialFeatures(2, include_bias=False)\n",
        "\n",
        "poly_f.fit_transform([\n",
        "    [2, 3],\n",
        "    [4, 7],\n",
        "])"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 3,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 448
        },
        "id": "8kWit8gkfoTI",
        "outputId": "6c1ac7aa-ed1d-41c4-9020-f9f6ba2e7d6e"
      },
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.collections.PathCollection at 0x79a8ea0b6660>"
            ]
          },
          "metadata": {},
          "execution_count": 3
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": "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\n"
          },
          "metadata": {}
        }
      ],
      "source": [
        "\"\"\"\n",
        "Now let's generate some data.\n",
        "\"\"\"\n",
        "\n",
        "def gen_data(N):\n",
        "    \"\"\"Generates N data points\"\"\"\n",
        "    X = np.random.uniform(-3, 3, size=N)\n",
        "    Y = 3*X**2 + 4*X - 7 + np.random.normal(size=N)*2\n",
        "    return np.expand_dims(X, 1), Y\n",
        "\n",
        "X, Y = gen_data(10)\n",
        "plt.scatter(X[:,0], Y)"
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "X"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "gUlrtc6XqWxD",
        "outputId": "76c8026d-87fe-442a-fbd1-5a9516fc2d4f"
      },
      "execution_count": 4,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[-0.93815662],\n",
              "       [ 1.5220605 ],\n",
              "       [-2.20715823],\n",
              "       [ 0.24096006],\n",
              "       [-0.43802661],\n",
              "       [-2.48555934],\n",
              "       [-0.12448699],\n",
              "       [ 1.95617595],\n",
              "       [ 1.88743284],\n",
              "       [-2.0335815 ]])"
            ]
          },
          "metadata": {},
          "execution_count": 4
        }
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 6,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "LcU9R8D4foTJ",
        "outputId": "785e0f9b-13f1-49e7-afe7-c154a4de2f2c"
      },
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "[(array([-0.93815662]), np.float64(-7.38369189492448)),\n",
              " (array([1.5220605]), np.float64(2.3068785787573245)),\n",
              " (array([-2.20715823]), np.float64(-2.5552311643317376)),\n",
              " (array([0.24096006]), np.float64(-4.713495945692351)),\n",
              " (array([-0.43802661]), np.float64(-8.120786500762469)),\n",
              " (array([-2.48555934]), np.float64(0.10072172231579635)),\n",
              " (array([-0.12448699]), np.float64(-9.594158156547708)),\n",
              " (array([1.95617595]), np.float64(10.204084086166684)),\n",
              " (array([1.88743284]), np.float64(10.89716418104164)),\n",
              " (array([-2.0335815]), np.float64(-2.364092423775746))]"
            ]
          },
          "metadata": {},
          "execution_count": 6
        }
      ],
      "source": [
        "# This is how training data looks like (pairs of predictor and target)\n",
        "list(zip(X, Y))"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 7,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 448
        },
        "id": "Ji8UCJAKfoTK",
        "outputId": "2acb6cae-478b-436e-e252-c6468f431077"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "train_error 31.160541280682622\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ],
      "source": [
        "\"\"\"Fit the linear model and check the train error, predict for new datapoints\"\"\"\n",
        "clf = LinearRegression()\n",
        "clf.fit(X, Y)\n",
        "\n",
        "X_new = np.expand_dims(np.linspace(3, -3, 1000), 1)\n",
        "\n",
        "new_predictions = clf.predict(X_new)\n",
        "\n",
        "plt.scatter(X, Y, label=\"train\")\n",
        "plt.scatter(X_new, new_predictions, alpha=0.1, label=\"new predictions\")\n",
        "plt.legend()\n",
        "\n",
        "train_error = np.mean((clf.predict(X) - Y)**2)\n",
        "print(\"train_error\", train_error)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 8,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 448
        },
        "id": "qfgfinIufoTK",
        "outputId": "8339944a-59af-4224-9db2-de7a46b90516"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "train_error 1.6049646574666139\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ],
      "source": [
        "\"\"\"Now quadratic model and check the error, predict new\"\"\"\n",
        "quad_features = PolynomialFeatures(2, include_bias=False)\n",
        "\n",
        "X_quad = quad_features.fit_transform(X)\n",
        "\n",
        "clf = LinearRegression()\n",
        "clf.fit(X_quad, Y)\n",
        "\n",
        "X_new = np.expand_dims(np.linspace(3, -3, 1000), 1)\n",
        "\n",
        "new_predictions = clf.predict(quad_features.transform(X_new))\n",
        "\n",
        "plt.scatter(X, Y, label=\"train\")\n",
        "plt.scatter(X_new, new_predictions, alpha=0.01, label=\"new predictions\")\n",
        "plt.legend()\n",
        "\n",
        "train_error = np.mean((clf.predict(X_quad) - Y)**2)\n",
        "print(\"train_error\", train_error)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 9,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "id": "q7FuMqCIfoTL",
        "outputId": "fc62036f-7e33-4e7a-82a4-d865f2309d9a"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "degree 3\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "train_error 1.3296226062014094\n",
            "------------------------\n",
            "degree 4\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "train_error 1.2849155493375828\n",
            "------------------------\n",
            "degree 5\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "train_error 1.1690303664990376\n",
            "------------------------\n",
            "degree 6\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "train_error 0.9044230979555736\n",
            "------------------------\n",
            "degree 7\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "train_error 0.6716164756462294\n",
            "------------------------\n",
            "degree 8\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "train_error 0.45112930365876913\n",
            "------------------------\n",
            "degree 9\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "train_error 1.4569581202363484e-23\n",
            "------------------------\n"
          ]
        }
      ],
      "source": [
        "\"\"\"Now higher degree models\"\"\"\n",
        "for degree in range(3, 10):\n",
        "    print(\"degree\", degree)\n",
        "    poly_features = PolynomialFeatures(degree, include_bias=False)\n",
        "\n",
        "    X_poly = poly_features.fit_transform(X)\n",
        "\n",
        "    clf = LinearRegression()\n",
        "    clf.fit(X_poly, Y)\n",
        "\n",
        "    X_new = np.expand_dims(np.linspace(3, -3, 1000), 1)\n",
        "\n",
        "    new_predictions = clf.predict(poly_features.transform(X_new))\n",
        "\n",
        "    plt.scatter(X, Y, label=\"train\")\n",
        "    plt.scatter(X_new, new_predictions, alpha=0.1, label=\"new predictions\")\n",
        "    plt.legend()\n",
        "    plt.ylim(-50, 50)\n",
        "    plt.show()\n",
        "\n",
        "    train_error = np.mean((clf.predict(X_poly) - Y)**2)\n",
        "    print(\"train_error\", train_error)\n",
        "    print(\"------------------------\")"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "I70DZhejfoTM"
      },
      "outputs": [],
      "source": [
        "_= \"\"\"\n",
        "Models with higher degrees of polynomes have smaller training errors.\n",
        "But they predict nonsense.\n",
        "This is called overfit, we fitted not only relavent stuff from data, but also noise.\n",
        "Overfited models are useless for prediction on new data.\n",
        "\"\"\""
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 10,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 448
        },
        "id": "JFwvvV6nfoTN",
        "outputId": "4433cf2b-6372-4814-af8b-e6dc373212bb"
      },
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.collections.PathCollection at 0x79a8e7c56e90>"
            ]
          },
          "metadata": {},
          "execution_count": 10
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ],
      "source": [
        "\"What we care is about error on new data. Let's have some new data.\"\n",
        "\n",
        "X2, Y2 = gen_data(20)\n",
        "plt.scatter(X, Y)\n",
        "plt.scatter(X2, Y2)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 11,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "id": "2in41ZkqfoTO",
        "outputId": "37b8c8e8-f37f-4439-c8ee-47ed19b5fbac"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "degree 1\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "train_error 31.160541280682622 error on new data 120.85174545574716\n",
            "------------------------\n",
            "degree 2\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "train_error 1.6049646574666139 error on new data 6.998912346721187\n",
            "------------------------\n",
            "degree 3\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "train_error 1.3296226062014094 error on new data 7.686069547082964\n",
            "------------------------\n",
            "degree 4\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "train_error 1.2849155493375828 error on new data 8.813691610727206\n",
            "------------------------\n",
            "degree 5\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "train_error 1.1690303664990376 error on new data 60.51200963994713\n",
            "------------------------\n",
            "degree 6\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "train_error 0.9044230979555736 error on new data 1674.8189031675709\n",
            "------------------------\n",
            "degree 7\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "train_error 0.6716164756462294 error on new data 4571.5200026184075\n",
            "------------------------\n",
            "degree 8\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "train_error 0.45112930365876913 error on new data 49069.704852614035\n",
            "------------------------\n",
            "degree 9\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "train_error 1.4569581202363484e-23 error on new data 1384421.9621934197\n",
            "------------------------\n"
          ]
        }
      ],
      "source": [
        "\"\"\"Now let's do the same, but also check error on new data.\"\"\"\n",
        "train_errors = []\n",
        "new_data_errors = []\n",
        "\n",
        "for degree in range(1, 10):\n",
        "    print(\"degree\", degree)\n",
        "    poly_features = PolynomialFeatures(degree, include_bias=False)\n",
        "\n",
        "    X_poly = poly_features.fit_transform(X)\n",
        "\n",
        "    clf = LinearRegression()\n",
        "    clf.fit(X_poly, Y)\n",
        "\n",
        "    X_new = np.expand_dims(np.linspace(3, -3, 1000), 1)\n",
        "\n",
        "    new_predictions = clf.predict(poly_features.transform(X_new))\n",
        "\n",
        "    plt.scatter(X, Y, label=\"train\")\n",
        "    plt.scatter(X2, Y2, label=\"new data\")\n",
        "    plt.scatter(X_new, new_predictions, alpha=0.1, label=\"new predictions\")\n",
        "    plt.legend()\n",
        "    plt.ylim(-50, 50)\n",
        "    plt.show()\n",
        "\n",
        "    train_error = np.mean((clf.predict(X_poly) - Y)**2)\n",
        "    new_data_error = np.mean((clf.predict(poly_features.transform(X2)) - Y2)**2)\n",
        "    print(\"train_error\", train_error, \"error on new data\", new_data_error)\n",
        "    print(\"------------------------\")\n",
        "    train_errors.append(train_error)\n",
        "    new_data_errors.append(new_data_error)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 12,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 453
        },
        "id": "tbXMPsRpfoTO",
        "outputId": "6ba0791f-436e-4bd2-b7a1-04769ef3df9a"
      },
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.legend.Legend at 0x79a8e58f9e50>"
            ]
          },
          "metadata": {},
          "execution_count": 12
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ],
      "source": [
        "\"\"\"Let's plot errors vs degree\"\"\"\n",
        "plt.plot(list(range(1, 10)), train_errors, label=\"train\")\n",
        "plt.plot(list(range(1, 10)), new_data_errors, label=\"new data\")\n",
        "plt.ylim(0, 100)\n",
        "plt.legend()"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "w0ktmPLzfoTP"
      },
      "outputs": [],
      "source": [
        "_ = \"\"\"\n",
        "What we really want is that model works on the new data. Thus degree 2 in the best in current example.\n",
        "\n",
        "In reality: Somebody gives you 10000s of data points.\n",
        "You should build a model with them, but also pick the best model.\n",
        "We will split data into 3 groups:\n",
        "- train - this goes into fit function, X in case above\n",
        "- valid - used to select best model and hyperparameters (i.e. degree of polynomial)\n",
        "- test - to report final performance\n",
        "\n",
        "How sizes affect things:\n",
        "- Bigger train set - more precise model (model fits less noise)\n",
        "- Bigger valid/test set - we can trust the error more, more precise evaluation\n",
        "  - Rigorous error should be: (mean +- inter), bigger test set makes inter smaller\n",
        "\"\"\""
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 13,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "id": "6W-MCbu7foTP",
        "outputId": "0617d9e4-4a40-4676-d133-001d84c7f5e4"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "degree 1\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "train_error 69.9838583611764 error on new data 99.57261469714358\n",
            "------------------------\n",
            "degree 2\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "train_error 4.3462432229619425 error on new data 3.163940309322527\n",
            "------------------------\n",
            "degree 3\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "train_error 4.342946256099926 error on new data 3.1834444772684125\n",
            "------------------------\n",
            "degree 4\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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5DKUOJYU4tqRA5UjQBs655ETvRSKRSCQSxwURIQiEMAxUtAatjn/AkgKVRCKRSCQSA0QEHwQRUFVgIiKEIIgCo49vsJLEtIlEIpFIJAYEARHQWg0CEqUUWitE4u+PJylQSSQSiUQiATDInBwqYaJULAcdzz6cFKgkEolEIpFYwaFKOydCUJsClUQikUgkEis4VMbkRDiapEAlkUgkEokEsFKLAjEwqW/x55XaleNB6vpJJBKJRCIxQCsICKWLAUrd9aOUwmjQx7n8kzIqiZOCs88+e8UcKKUUH/rQh+7Xcx6N50gkEonTndVZk0Pdd6JIGZXEScn27duZmZk5om1f/epX86EPfYhbbrnlPj9HIpFIPNBYy9RNqeih4n0s8cT7wGiF1poQ4mPMcUyqpEDlCDkZbIRPdoqiIM/zo/JcR2OK9kkziTuRSCROMtYydQshUJQB54XMxsBEKk+VACiRQXvy8XSoTaWfeyD+MT0uuMHNB39M02GXX345L3vZy/jd3/1dZmdn2bRpE69+9atXbHPgwAF+9Vd/lfXr1zM5OclTn/pUbr31VgDm5+cxxvCVr3wFgBACs7OzPOEJTxg8/u/+7u/YunXrYffhmmuu4ZprrmFqaop169bx+7//+yve99lnn83rXvc6fuVXfoXJyUle+tKXAvDZz36WSy65hFarxdatW3nZy17G0tLS4HG7du3iWc96Fq1Wi3POOYf3vOc9B73+6rLNj370I17wghcwOztLu93msY99LDfddBPvete7eM1rXsOtt96KUlHg9a53vWvN5/jGN77BU5/6VFqtFnNzc7z0pS+l0+kMfn/VVVfx7Gc/mze96U1s3ryZubk5rr76asqyHGzz9re/nfPOO49ms8nGjRt53vOed8hjmEgkEicra5m6CSv/X+tSRo3eUnvySUYdpAQJKBRaaRSKIOGYByvvfve7abfb3HTTTbzxjW/kta99LZ/4xCcGv/+FX/gFdu3axUc/+lFuvvlmHv3oR/O0pz2Nffv2MTU1xaMe9ShuuOEGIF6glVJ87WtfG1yYb7zxRi677LJ73AdrLV/60pd461vfypvf/Gb+8i//csU2b3rTm7jooov42te+xu///u/zgx/8gKc//ek897nP5etf/zrve9/7+OxnP8s111wzeMxVV13F3XffzWc+8xn+6Z/+ibe//e3s2rXrkPvR6XS47LLL+PGPf8yHP/xhbr31Vn73d3+XEALPf/7z+V//63/xiEc8gu3bt7N9+3ae//znH/QcS0tLXHnllczMzPDlL3+Z97///Xzyk59csV8An/nMZ/jBD37AZz7zGd797nfzrne9axD4fOUrX+FlL3sZr33ta7ntttv42Mc+xqWXXnrYY5hIJBInG2uZuokI3geCCF6EfuEpXaiyLsNMSgjhhOzwKc38/LwAMj8/f9Dvut2ufOtb35Jut3ufntt5J4UrxHl30K2+/1hw2WWXyZOf/OQV9z3ucY+Tl7/85SIi8p//+Z8yOTkpvV5vxTYPechD5B3veIeIiFx77bXyzGc+U0RE3vKWt8jzn/98ueiii+SjH/2oiIice+658s53vvOw+3DBBRdICGFw38tf/nK54IILBj+fddZZ8uxnP3vF417ykpfIS1/60hX3/ed//qdoraXb7cptt90mgHzpS18a/P7b3/62APInf/Ing/sA+eAHPygiIu94xztkYmJC9u7du+a+/uEf/qFcdNFFB90/+hzvfOc7ZWZmRjqdzuD3//qv/ypaa9mxY4eIiLzoRS+Ss846S5wb/l1/4Rd+QZ7//OeLiMg///M/y+TkpCwsLKy5H6u5v5+/RCKROBaEEKQovTgfBreidLK4XEinW8pCpyuL3/q0dG/+B1n+zmdkabknvcJJt++kXzhxPtzzixwBh7t+j5I0KodARAaZlLWoMyta9DFJhV144YUrft68efMg63DrrbfS6XSYm5tbsU232+UHP/gBAJdddhl/9Vd/hfeeG2+8kZ/+6Z9m06ZN3HDDDVx44YV8//vf5/LLLz/sPjzhCU9Y8d4uvvhi/viP/xjvPcYYAB772MeueMytt97K17/+9RXlHJEYhd9+++1897vfxVrLYx7zmMHvzz//fKanpw+5H7fccgs/8RM/wezs7GH393B8+9vf5qKLLqLdbg/ue9KTnkQIgdtuu42NGzcC8IhHPGLw3iAe92984xsA/NRP/RRnnXUWD37wg3n605/O05/+dJ7znOcwNjZ2n/crkUgkThRSlXZgWArKvvcRsk+8Er24bbBdmNhCccXrCQ97FsYq9HGu/qRA5R44nI2wHMPST5ZlB71enXLrdDps3rx5UNoZpb7gX3rppSwuLvLVr36V//iP/+D1r389mzZt4rrrruOiiy5iy5YtnHfeefd7P0cv/PW+/dqv/Rove9nLDtr2zDPP5Lvf/e69fo1Wq3Wf9+/ecrjjPjExwVe/+lVuuOEGPv7xj/MHf/AHvPrVr+bLX/7yYQOtRCKROJmIuhMG5R+RKKrNv389+QdeDKy8tqnF7TQ++GLcc9+FfeTPHXedStKo3AOHCkaOZZByTzz60Y9mx44dWGs599xzV9zWrVsHxIDlwgsv5G1vextZlnH++edz6aWX8rWvfY3rr7/+HvUpADfddNOKn7/4xS9y3nnnrcg4rLVv3/rWtw7ar3PPPZc8zzn//PNxznHzzTcPHnPbbbdx4MCBQz7nhRdeyC233MK+ffvW/H2e53jvD/teLrjgAm699dYVot7Pfe5zaK152MMedtjHjmKt5YorruCNb3wjX//617njjjv49Kc/fcSPTyQSiZOB2LUzMmAweLJPvJIoo12JqgIX+4lXouT4a1RSoHIIlIriWeEQgQoSxbUnQAF9xRVXcPHFF/PsZz+bj3/849xxxx18/vOf51WvetWg0wdi58573vOeQVAyOzvLBRdcwPve974jClTuuusurr32Wm677Tb+4R/+gT/90z/lN37jNw77mJe//OV8/vOf55prruGWW27he9/7Hv/yL/8yEK0+7GEP4+lPfzq/9mu/xk033cTNN9/Mr/7qrx42a/KCF7yATZs28exnP5vPfe5z/PCHP+Sf//mf+cIXvgDE7qPbb7+dW265hT179tDv9w96jhe+8IU0m01e9KIX8c1vfpPPfOYz/Pqv/zr/43/8j0HZ5564/vrr+T//5/9wyy23cOedd/I3f/M3hBDuVaCTSCQSJwPRZXbELv/Oz6MXtx0UpITqJghq4cdw5+eP+76mQOUwjHb51BmUUe2KVifm8Cml+Ld/+zcuvfRSXvziF/PQhz6UX/qlX+LOO+9ccdG97LLL8N6v0KJcfvnlB913KH7lV36FbrfLT/7kT3L11VfzG7/xG4MW5ENx4YUXcuONN/Ld736XSy65hJ/4iZ/gD/7gD9iyZctgm7/+679my5YtXHbZZfz8z/88L33pS9mwYcMhnzPPcz7+8Y+zYcMGnvGMZ/Df/tt/47rrrhtkdp773Ofy9Kc/nac85SmsX7+ef/iHfzjoOcbGxvj3f/939u3bx+Me9zie97zn8bSnPY23ve1t93gcaqanp/nABz7AU5/6VC644AL+/M//nH/4h3/gEY94xBE/RyKRSJws1MFKZjW2u7LzMgA9YLm69YAC8PPbDnqeY76fciJrGEeBhYUFpqammJ+fZ3JycsXver0et99+O+eccw7NZvM+PX8dmISRdJdW+oRlU44Xl19+OY961KNW2Non7h1H4/OXSCQSx4Pww/9A/82zAHBAhxiYaKKYVVc388J/pvGQp6L1/V+oH+76PUrKqNwDMeI0WG0HN6PNaR2kJBKJROKBhTrricjEFkoU+4D9QAl4YuBSovCTZ+C2PBYX3HHdtxSoHCG162kKUBKJRCJx2qENvae+jt3AThQFMaPSA3ooPFBc+ipEaVxwx9X4LbUnJ9ZkrdbnRCKRSJx+iAi9fsG2B/0ke574B+Tf+Asai9sqEW30Uek+/lra5z6NjHDc3WlToJJIJBKJxGnKoWSotReYiNDtl+zo7GLX8h78Q55EOP8S/N3/he3tQ49vhrMeRWYyeqHElhrbOL6hQwpUEolEIpE4zYiNIEOflFDFKwNXWaWQEOgXJds6uzjQ24P3DtMwiFcUZz4CkzVxAplSKAX9sqBRaTWPhpj2SHlABCqneGNT4hQlfe4SicSJQESqYYJA5QZWn48C9VgTKMqCXUt72b20F+8cwQi65zFW0N6wLD1ynSN4nPOxuYRJMpMd5tWPPqd1oFLboS8vLx9XG/ZEAuLnDg625U8kEoljSZ1J0VrhQ5zhY0zMgBSlJwh4V3LXgV3s7e5GxJE1Db4I9IpA5g3B9zAmQxoFqnRoA3OtdYzZ8ePeVHJaByrGGKanpwfD/MbGxlLXTuKYIyIsLy+za9cupqenDztyIJFIJI4mIQRKJ4OsivOCMQol8dzkfKB0jr3dvezt7UbEkzUzVAAJBaUXlrqeRmZoGOgvO2xuWNeaY0NrDmszghzfluHTOlAB2LRpE8AgWEkkjhfT09ODz18ikUgca+rgJIQYnACoqgTkK62K8559/b3sWd6DBE/esGilKHyJhIzg+1gbxbb9bkGWWeYa06xvrMOaBsZEy/3RycvHmtM+UFFKsXnzZjZs2EBZlid6dxIPELIsS5mURCJxXAkSyzxaDwMIVQlhQxD6Rcme7m72Lu8heE/WMIhAkIBWhsKVtPKcoIRet6TZ0myeWs9ccwPGNoARMe5x5LQPVGqMMenCkUgkEonTkiiQjboURjQqWsf/e+/Ytbyb/f09OF9CpvDOoZTGYiidJ88Mea4p+55mnrFxfI6Nrc1YawE1mKJ8vHnABCqJRCKRSJzO1OUYhQyyKIoYpOxc2sWuzg6UEkxmKMuAK4WsIZSuIASNsRpfeLQxrB+f5EFTW2jmMZPifKi8V4ial+Oo90yBSiKRSCQSpzCjwlkVZFDuUQqKwrGnu5s93d0EERqVJkXwIJay70EJooRQeJTRzDQnWNdah9H5sK25MmLRWh338k8KVBKJRCKROEUJIQw8U2qha51NKV0MUvZ29+Cdp9myWKVwEshtBlJgraX0QnepjyjDuuYUc831tGyLQGxnFiGWhTKD0cd/5l0KVBKJRCKROMUIIRAEShcGAtoYP9RmbiU7l3azv9iD9x5yQcTjAK0szgdymyMaQrcgayjWteaYG9vIWKOF0RrvA04CrczQbmisOTFzjFOgkkgkEonEKUJd5ildiCLZIFirAUEkzu8pSseOzi729ffgnCdvanAKlACa0pfkJsNYgy881mTMNNfxoInNaJtTujiO0FpNhia3+oQ2o6RAJZFIJBKJU4BRLQqAtRqpMipeooC21y/ZtbyHfb3dhBDQVhMcFGXAWI1SAREFBnwZQCsmzRQb2xtpNpvRJl+BrQSzSim8l+Pqm7KaFKgkEolEInESMDofbK2goLbGh6FXStwuBi/eO/b2drNneQ/Bl4jWUHqshUYjp9fro7UiiBBcnzxrMJlPMWHnyG02mKista5KSeqkmFmWApVEIpFIJE4go5OOa7SO5mp1wFL7pMQSD4Nsh9ZQOqEsS3b3d3Ogv4eiKPBaoKxHElrwDqMNTqKZW97QzOVTzDbWI2IpXMCYgCLOBapft/ZjOZHjZ1KgkkgkEonECWJ00rGqApM6KBEFRg/vq7er25CN0SCBfr/Pzu5O9vf2okQQpSl6BUo7cpvR7RXYLMNokFLItGHKTjOl1zHWiOWeXuHolZ7cKOzAJj/uoz3OvimrSYFKIpFIJBIniHuyvY8DAIczfLSO2hTvA94H+kXB9uUd7OvtRXkFViPBYa3BGI0PDptnZEaxvOTIcsOG9gzrWxsYa7ZQSqMVZFYTgkKC4ANoFTUp1ijMifDNHyEFKolEIpFInADqzMmhkhV1sOKlbkEGiIZrHmGp12PH0g72dPdgUOiGxvcDikBuLB6HiMYHD04wVjORTTBp52g1mmRWIxIzJtZYfAAkgMRyj7V6RfnpRJEClUQikUgkTiCHCgREhH4ZcD6gq22UVigJdF2PXb3dLPQPIE6wTRvt8rVgTYZznsxkKBPwpcNkirnGHON2hjxrYK1Ba10FSvG5jQajzSB40Sc4k1KTApVEIpFIJE4ga7X+eu/plx7nBaMVWWYIIeBcoNPvsKe7m06xiEKRNQxBPDiFBHChRGFwLlD0HVnDMNfawJSdBWOwOs4DGu3oWWkad+KzKKOkQCWRSCQSieNMHSQoxUBIW98fBHqlUDghi2paQggALJfL/HhhG/u7C5hqwKASBVpQWtHvepyHPA9YpVFWM5nNMpXNkWWWzGis1gOx7OjrazUasKRAJZFIJBKJBxyrW5FFYgOx+GrisYBzntIFMqOwKsBdXyAsbGMpm+JH02dyoLuAcwptNd1uHCo41jB4HMZAEEV32TMxodkyvp7pbB3KaHKjaOUGlMIHwfsQSzxGVxmWYcByMpEClUQikUgkjgNrtyLHoEWgcoCN9xutaXz/X8k/+UpY3MYSsAwwvpnm+VfhzrqUgJBlBgV0+x5jDNp4cgFyzYSdYSbfQDPPkZGSjjWa3Nb7BJX6ZTAZ+WTKpkAKVBKJRCKROC4cqhXZGIX3sbST2fh/c9tHaHzkJQSEDrAL6ADS2UH7K9dRuJLw0KfGicmVINb5gBVFu9liU2OGda11ZNZidBwoGIKQW7XC0O2e3HBPBk7MKMREIpFIJB5AHKoVWaQWtcZSTFE6uv2Ssc+8ahCk7CQGKQqwCAEY//7fI+KQEEBrtFL0+w6rM+Za69jY3kir0aCRGazRGA3WaLTWKwKS2uH2ZA1SIAUqiUQikUgcVergY605OaOZjHrAYOkCvcKz0C3Zv1Tgfvg5VGf7QUHK4DkQss429I++jiiQ4EGEdrPButZ65lrryDJbWezrQYnpZBPJHimp9JNIJBKJxFFgLaHsat1HHbzUWhUQfAj0S0+/dCig2dnOAWK5Z5FhRsETAxYNCJD399F1gg6aVrPFVD7DTHMWreMWWusqk0OVUUmBSiKRSCQSD0hGhbJxFGDUjIiLwtk8M4NWYGHYElx66BaergsIsNwvmQ9NMqBHDEoMMUgBCMRgxQB6fCOu9DRsxmQ+zfqxORqNOAW5fhEvgtGazJ54K/z7SgpUEolEIpG4n4QRXxLnR7t7FC4EpAxkJm7rPCgVZ+r0C0dROkTAO8d8fw97xrawqb0Zs7SDUGlSDDH2iNkVhRvfTHfjI5hotFjXWM/c2AzNRkZmNNoYgo+hjdWKPNOYU7TsA0mjkkgkEonE/WJUKFvrTiBqQrSOmYyw6v4gqho0CKg4BXmh2MeB/j48QuehV1XBiUIAR7xgKxQKKB/xEiZbE2xub+aM6Y3MTLRoNzMyG51nM2to5IZmHsW0p2qQAimjkkgkEonEUWM0GKkFtVHUClGPUk0mRrAa+gq8KzlQ7GNvfy/eBfLMUpx3GftUYPK2v0GWtsdKDqAmNuMu/FXG/9t/ZyabY6o5RauZY03MOwwFvKduBmU1KVBJJBKJROIoEEIgBEFrqmzJUFSrlCIzVXmomoIcgme532NXZwf7iwOURYFog0hARFE8+HK2n/kkxnd+HVPso8inMWc+lqmJSabzdUw1Jmk2shXak9MlOBklBSqJRCKRSNwP6oxJWUoMVgSU0gPPlFApaIMoJARECb0ycGCxw47OTuZ78yipJiM7TxE8GRlaQyPPsOc9DhGFCYHJfIr1zfVMZBNxAvJJ6CR7tEmBSiKRSCQSq7g3jq11iScIFF4IEmhk0TE21PNzELpFQIngg2K+u8Tu3g7my3m89wStKXqBIIJWCm88rTwnyw0KhbGKmcYkGxobGW+20dogEruGUHJaBywpUEkkEolEomK1FwqA1hwyEBhtS7ZGkVtNr/B0C4dS0KiyHqULuBAIPrBc9Njb3cF8bwE8aGsQL2gtNIxBEaq5PSDOo5uG2eYs6xrraTXGMHokW1MNFxStiIOWT79gJQUqiUQikUhwqKGBUWsiihWBwGrjtiierYf9WQoX4vP5QClxOyWBfb15lsq9LBaLaKNAaYoigFLk1uKCp5UbxGgoQTcss811bGxtIM8aaKVWzQqqXzu2SJvTL045tu3Jb3jDG3jc4x7HxMQEGzZs4NnPfja33Xbbim16vR5XX301c3NzjI+P89znPpedO3cey91KJBKJROIgRocG1gGJqgKDOhBYbX1flLFcUwcusQwUn8MHodMr6RYOEc9CMc++5V0sdpfwLk5Mdt4RxJNZhbUaq6PZSug7HIFxM8lMNkczPzhIWVmeqqYwr2Hbf6pzTAOVG2+8kauvvpovfvGLfOITn6AsS376p3+apaWlwTa/9Vu/xUc+8hHe//73c+ONN7Jt2zZ+/ud//ljuViKRSCQSKzjU0MAapcD7gPOhKgtJ5TQbKo+UmEERYvZEK4W1htxorIb54gA7l3awXC4jKqCMoig9RhtsplFKEFGIKMpCyJtNNo5vZn1rE9bkg9LTaGlnNKg6HUs+NUqOY/i1e/duNmzYwI033sill17K/Pw869ev5+///u953vOeB8B3vvMdLrjgAr7whS/whCc84R6fc2FhgampKebn55mcnDzWbyGRSCQSpyEiMUuiD2MzX7oQ7deUwvuAD0LpKyEr0R/F/ugL+PkduLH1FFueQOkD+3r72NPdheBRSlGUgtaeovRIqAIOq/EOxEOjadk8vo659kYyHSceD6YgD/xSYvBUO87WmZxTaZ7PkV6/j6tGZX5+HoDZ2VkAbr75Zsqy5Iorrhhsc/7553PmmWcecaCSSCQSicTRovY8WU0IAec8KAghthwL8V/nhcb3r2fsht/HdLbH5wG645u547G/xb4HPZrS92k2cwiCF4dVltwqnAhlEegWDhs0rWbO3Nh6ppvrMTpDNFirQSmCAFUwdfCww1N3OvI9cdws9EMI/OZv/iZPetKTeOQjHwnAjh07yPOc6enpFdtu3LiRHTt2rPk8/X6fhYWFFbdEIpFIJO4Po1qUtQhB8AIiKvqd6KGotvH965m8/n+iR4KUHrC7s4P+DS+n8f0byBuW0nkCnlZmERVAFJlWaATjhLFGg3VjG5jM57DGYAxk9VVaBKMEa2IHkl4l9lXVfacjxy1Qufrqq/nmN7/Je9/73vv1PG94wxuYmpoa3LZu3XqU9jCRSCQSD2TixX+lKLUOBIII3ntEPL7SqfgASoTxG36fOJUnBinLwHZgL4IH8v/6a5QPKBW3QQu5tjTHDHmuyHLF9MQkU40NNM00eWbJrCG3hjyzaKWA2CFUl39E6v1kME/odMymwHEKVK655hquv/56PvOZz/CgBz1ocP+mTZsoioIDBw6s2H7nzp1s2rRpzef6vd/7Pebn5we3u++++1jueiKRSCQeICgVL/iDLp8qEBAJOC+4AN0ysNQvWeo7vPdk276I6WxHAQHoANuA/UTdikWQxR8T7rwFqw2BWLqxucIohRbLbHuGB01tYePUHFNjGe2GHQwThLqswyDbY7TCmuHtdA5S4BgHKiLCNddcwwc/+EE+/elPc84556z4/WMe8xiyLONTn/rU4L7bbruNu+66i4svvnjN52w0GkxOTq64JRKJRCJxNKiDlToI0KpuR45C2hACvdLR6RUUXmAhlns8cIBhkFITqn/t8m6CBHKbYSwEHxCBmfEptk6dwbqJaVqNnCzL0ErFqclVK7QxCqP1QW3Tp3u3T80xFdNeffXV/P3f/z3/8i//wsTExEB3MjU1RavVYmpqipe85CVce+21zM7OMjk5ya//+q9z8cUXJyFtIpFIJE4YdQDgReFcnN9TSpyOHETjxdPpF5h8HWPAXmA3UZtSy1wcMauiABlfj6Iq2/g492e6NcOm1kaaWTN6tDBscS4Kh7UaoxWmKkmdrhqUe+KYBir/z//z/wBw+eWXr7j/r//6r7nqqqsA+JM/+RO01jz3uc+l3+9z5ZVX8va3v/1Y7lYikUgkEvdICIGy9HgRnAgayK0h9hQH+s6zc/wRFO3NHFjagSBkxOxKQbzACgoZ34w55zFgNEXhUEoz05xlQ3MjY43moMRjg6EsfTSCI2C1GrYki2CMfkBkUFZzXH1UjgXJRyWRSCQSx4IQAp2uo6wtayv/lNILRemYX15mx+J29A8/xuyt/7vKnggBqmBDYYHiia/EPeRSCIosM8w117GutYE8s1ijB2JYYGAoJyLkman2RK3wTDldONLr93Hr+kkkEolE4lQiakQCzrmBb4mtMirLxTIL3e0sl/sJD34i/ce/Aj++aUW5R49vpvP4l1M8+BLKIqCNZdP4JjZPbMJaOzIjiGrKsqoCF40xZvBMp3tXzz2RhhImEolEIrEGtVi1DKB9LD4ECSx0D7Crs4s9y/NorQhGceBBF6O3XExz9zdRy7tRY+tRD34M3nkoITNNNo6tZ11rHVmWUZYeY2rfFiGEmI2BWsTLCuHsA5kUqCQSiUQisYoQ4lwfjWAVlN7jnWNfd54d8z/mQHcZBJRWlH0PVsi0xT/oIpTWeA+qXxKAibzNVGOOudYcxhi8D2ityCqVbAixFVorhVkVpCRSoJJIJBKJBBCDk7ol2FfBg7GWBrDQ6bF7aS97l3fTKfqMt5ooBS6UsZXZGrwEAorcGCQEvGjWjU0znW/A2iZaa2q9iTVqMLdHUQ0xNOqws4YeqKRAJZFIJBIPaEKoBLKFo/QxUFFakVeBQ1H02N3bwZ7lPRS+JDOaEGJ3TsNmYDw+BLQour6gt1yS5YrZ1ixzjY208iZK68qZNnbvmBUBSZVJSUHKmqRAJZFIJBIPWLz39MpA6WKpR1BoDV6EwgWKosPe73+cxR0/JB+bxW16BMoqECG3Fm004hU+eNBglcbkGevb65jI5shsE5Qit6ay2Fcr5vTUU5BTjHJoUqCSSCQSiQckIkLfxenHWiuUaIyKgweDdyx/4x/pfemNlJ1tTFePGRvfzNJDX4g/73IwgjUarwQjgpZAw+SsG1vPhvZ6sjzD6Jg9yYwG4vDA2p4fOGgKcuJgUqCSSCQSiQckzgeKwmMM+AAxkNB47+jc+l56N/wvlhFqN5MAmM4Oxr/6xywbRXjoUyi9o+gHghfGWy3ado6p5jqUtShtqg4eNRgkCFGfkjp6jpwUqCQSiUTitGfU21QpFXUpLuBFICj6lU2+L7vsWdpJ+PIf0a+CFEV0m4UofFUomt/6O3ZvvhjvLUUITDfazDbW084maGQxM2OqwGdkLwghPksKUI6cZPiWSCQSidOWuovH+dFbGDjAKsCHgARhubfEjxbvZue3P4lf2j4IUsrR5yMGINnSduSuW+iHklY2zng+RzufxGQ52pg4RNAYQhDCIEZSKwYLJo6MlFFJJBKJxGlJHaTUgtVhJiVOQTZGowX6haPvu+xe3s6uzj7ay7swxKGCjnihDDAIXCAGLGNukQ3TG2ln6xhrNhkfa1ZTkQUvgPOD7p4QpBLNpiDl3pIClUQikUicltQjeqJNfeWP4oXSxWBCScCXJYvFPDs7u9i/tB+DwY/NVB6xsezgq3+FYRmiAWzc+DAmp7ailEFrKH0gNwqRGIyUQaL1PXEfFDxgBwveH1KgkkgkEonTDhEZZDHqICWWYYalmKWlLnt6ezjQ28tSvx8nHSvF/tmHM9nehFnaia6GDMJQp9JEsW58MwtnPQ1jTHwcMWsiRiEISsAoRWYqK36GHT6Je0fSqCQSiUTitCN6lNTzeaogAgazdfplj529bWzvbKdXFjQbllbDIOJo5Ialh/1fVUZFDVb0GphAcQbAE34fZRs4iZoTCYKtBxdW7ciZMUA9ZFA/oAcL3h9SRiWRSCQSpw1SZUx8JZylMnFjUMwRlsoO25e2sb87X/mbQCBEwzZrUJkQHno5i0ozftvfYjvbEWAGmG1vwj35NbjznkmjCoZKF/AhkGcGrTSoaBpnFGQ2WePfX1KgkkgkEonTglHxrNYKqxTOebwPBBEkOOaLefb19rCwvEimLVmm6ZcO7wIEQWsIXtH1AXP2JfTOehJ2238xF7romfPYf9YlNBs5GtDK4IPHE71SajM3q+O/WW7IbNKk3F9SoJJIJBKJk57VPihrUetQ6uxFVI4ILgTmF5eZ9/s40N2H4FFa0AZK7zBa48UTAO/AGIUVwReBLG8y89ArmG7M0WzkoDVGa1yQKjCCzCgyrWlYTWaohg/G+1OQcv9JgUoikUgkTlqGpZwwuM8YvcJ2vs6kFGUABPHDQKUoPfs7S/x44UcslPPk1pBlBhEofYnRGqUDjUZOwJOJwpce8Yqp1iQbpzYw1ZhEiC6zeWYJPqBUwGpFu2FQSlH6uJ9BNAirhg4m7g8pUEkkEonECeGesiQi0ZzNh/j/epBfkIBWcc4OQPAeufPz6PntyPhG/BlPQBlL4Rx7lw6wq7uThXI/mbbkuUFUNWsnKIISDIqAoJXGKk1fBabyGda1NzDdmiRIoCg9CoXJDTbTaB+Fs8ZonK/2RyvyTFe+LYogoKr9Ttx3UqCSSCQSieNKnSWpB/OJyKB1ty6bAANHWaWGjq7eB5wXvA/kGZjbrsd+4vfQi9vIqseFiS0sXPKH3L3lJ9m7tAen+jRyi1YW5zzaKlTQiAqooBAjQMA7UFYx25plMtvAeLOF1hrxkGcaraL+xRiNkYBSxH0JgjUx40I1fdloFYcPShTVJu47KVBJJBKJxHFjVPBKdBwZCUggs8OyifPDCcN1dqUoQxUABOx/XU/zwy8hdvRUzw90F7ez79/+3+z6iZfTP/uJNMYsRiu8OKzVSABtFeINWa4R8UgQGqbJVD7HbHOWRt4YPK+20QclEIMnnK+8Uar3EgSl4wygldOQK81Mmo58v0iBSiKRSCSOG7VbrFIMSjqrsyUQ9SUhCMaMBCkuOssaoxHnaX76VVA1H0O0u+8AOxAOoJj43t9Qnv1EytLhtcIojVcBTdSRKB1THtZopiZmmLKzNOw4mbVVxgds1cKjlCKvunlCJaRFRVO3vGkGHimjAUldqkrcP1KgcoQcieL83myXSCQSDzRG3WJH7e1rdF0uqbap8aHyKvGxfVgpyLbdhOlsj88L9IF9wB5gCbAIurMN9aOvEc56VBS7GsjQFBIIHrQoVEvYOL6RLe1NWJvTL+NrGw1eEYWzOpq4Ga3wXsiqDEvcNwYByupzfgpSjg4pULkHVtdSAbTmoFTekW6XSCQSidjFU/uO1OfIYQZCCAGgms1T6UBi30/MvNiFHUAsxywBu4ED1c+1vVsJ2N4eOi6WZ8oiIA0bsziiyRqW9WPr2dDcTJ430ArC6CBDYquyroYJ1u62WqnBzB7lYwAFMbhZeV0gTUs+CqRA5TCsNXmzXhGIGn4oj3S7RCKROF25N1nnWpMSsykyWNTVviSiaqt7KL2nVwSMUSjiLyQI5dh6HDAP7CQGK6OvWjczl40ZjNI4FZ+wLByiFTNjbTZMrmNDawN5nuMDaKvJs2EQtfq9lC62JFs7FPzWepo6WLFVqaq+HqQu5ftPClQOQ50hGU1Nqsp9MA63imrutVKYa22XSCQSpxv3NpssxIt6XNTF+0IQQi081Xqw4NMKSgdOBCNDHYvSsLzhUXTHN7O3s4MSwRADFV/9G1CE9iZ6Wy5ivGFwPlAWgtKwcWqOueYGplqTaGOAGFh4HwZ292stPCEuPEdRSg3u815QhEGXUsqoHx3SUMJDEEKo5jfEyL9uQatXDYMgJISD6qmj1NulWmUikThdqAf+hRAGbrBK1WWOeM7za5z3QlVOsZWtfHxcfExtmDZs8VVorcmsoWEMQrSmVwSWiw67i518/9yrKIiDA4Uopq2t3hSwdO4LyDKDNgqtNI2GZcvUJja3tzLRmsKLovSBkRirCjzUCr1MvRA11T6tRimFNRpr1OCWBhAePVJGZQ1GR4KbygI5hFiHDApsVZs8klRnUn0nEonThdXZEx+G5Y5Rncla2eQ6KzGaeS6d4Fx0k43hyTDoUQz1K81c0y88wTs65X729Pey2Fukf84T6bvfZOr295ItbR9oUxjfzNJ5v4ycdxlWCf2eZ7w5xnRzlqlslmajiVYK5wNGq0FGRys9eA9mjbKNyNB4bq1jcyhRbeL+kQKVNRgt5YgIwXu48/OopZ2EsQ2UZz8Ja+tEY+RwH95EIpE41Vmtxavvg9j5slqLVwcremTb2IocgwFbiVQH9vihCgQAZGik5qpySq/osbfYw77uXoLEAo9Siu45T8af92Rau/6LrLsPP7aOcMZFBKUJPmCUZro9zfr2ehqmjVImloaqfc+MRmsdAyStV72Hled0rQ/uSBoenyScPVakQGUVo1G/BCH810dofOqV6MVtg23CxBbKK16PeeTPRdfCkVXAwc+XPryJROLUZ7UWr16c6TojsUqLN8hEh9p7JHqkBJFBVlprXU0hBik9XqrMShXAAITgWSwW2dvdyf7ePCGE6HOiBKzQMjk+ePpbLsQbQ24tRim09+QmZ93YLHPNDTTyBt3Cg4qeLEqpODSwei/WEIW6h7G814qB/f6ofiUJZ48tKVA5BEop9Hc+TP6hFzPqegigFreTf/DFBPNueOTPDT68tVL84A9v+vQmEolTl1H/k7V+N5o9qS/ytX5FqhOhoBCEfhk1IZkZ6j201qAEpaKZW/24EDwLxX62L+5kuexiDGhtcMGhjSYjCm+9N5SuxIWAKjzaaCaa48w1o8tslkVzfcmobO+rFuMqWKo1JfeUAK+Fs3X5q84oJeHssSUFKocguBLz8d9j1PWwRlW2z/rfX4G0pmBpN6q9kXDGE/CiBiuB+sMfBDRpMFUikTi1WV0WqUshdZl8lMGwYzXsoMmsRvnYqBACNKrhPNGzJGY1ojttoHB9dnd3s6e7h9IVIArvwYeYeTESyCqRrVZgtCEEjyjFTHOKdWPrGc8n4oyfKiBSVEFFYxhY1LcjLdOvpV9J5/ZjSwpUVjH48t3xhRXlnoO2Q2BxG/ztzwFgAD2xhfKnXo976M8AKxXwyU8lkUic6qwui4xmkyMjHlJVpmV1uUhXbcm9MgYr1uhBO7MxmqJ07F+aZ1+xhwO9/dU52eBCADxaGwgBrcGFgMGQ5YpQeMYaY0zls6wfW0crb9LILc1s2PzgTSxTRY3h6vd278r06Vx+/EjtyWugFajOjnv/wMXtZB94Mdn3/hVjdOViONLmlnS1iUTiFGRUi1KLYuv7R2fcyIiORQ9M26TSpwSK0sfST6DKSsRyj/exJDTf6bC9s50fL9/Jgf5eREWfWRccxiqMNvjgCSFGSKXzFM7T73sm80m2Tm7ljInNtPIGmYmZbKgEu7VWRqgyOjG4Gi1rJY3JyUnKqKyBUgrGNzJcI3BQ+WfNx1UlIfPxV1I85L8jShMkoGzd4pymaCYSiVOPOjgZnXJsTO1eogYdPPW5TUQoq4BAKSgru4cYuSiMqSzuq9k9Ip6F3gI7l3ew7Dsx2MHixFFSDkzgtDF4J5QiiERvFINhujXFXGMD49kYogwuRA2KCwEv1ZyeqrtHqSjwdT6Wj5I528lPClRWEb+Mnv6WRxPGtyCd7RiEDMi454BFIajFH2N//EX8mU/C+2gJbZM1bSKROAUZbUu2JopivQ+4KgjJ7Epzs9prpf6/C3FWT8xcgNFCqC3aRCh9wYH+fnZ2drLQW6ZpcxSCI6BU9NOXLPqdeAfGGpQK9EtHyzaZHVvHhvY6MpPFDLYScmuwRlOUntIFsBqt6y6lWGryPgxM3FKAcnKTSj8jxFHijsIV9ENg4ZJX0gUOoNhDnClRHulzLW5fUaP1R1D3qVctyXslkUicLIy2JWutMVqRWU2e6RVln9XbZzZaNywXDgmh8kypXGBFWO712b98gLsW7mLbwo/puT4NY0EJHg8CoSrXqFCLdhm4xk41p9jQ3sJcYwNjjRZKGwIMgpTajj/PDCGACyvfV12ST5z8pIzKCEECLjhKV1KEkvK8p9At3oi66c30O9vZB0wAc8AYh4/y+o0NuDIOsNJa4VygkZtDmsKlycuJROJk41BtyfV5adD1o0Z8U3w1/dgH1O2fJT+wjXJsI0ubfpKgNFp5FAV7OnvohAUcfTQ6LuxMnFasRMeuIJtTBl8N/hM0GmsME2OTzGbraGUtUBqpXjczeqCNUSqeo2MWJTrgWs2wAyi5hp8ypECloi75+OApQkHXlSz1+sxvejydn/pbGju/Sujs4AdMcM7338Gm5Z1MI+SrnwdFGN9MecZPogGRgPO1zkVWvF79b70CGXV79F4QrVKnUCKROOHc04iQ+jzmvVC6gL7tehqffCWNzrBz0rU3s/MJf8C2TRez0NvL3uX9GA3NRo7WAa8dubY48Rg0CkVAsNpUzx9o2QazY3NMZzM0sgbGVEFKEELpwMQsiamM3KKAVirn2ZUplRSknDqk0s8IIkLpS5ZdQaffp9NbjrMgMsXShkdxYNNlePH8eONF3IVwN4pF4rROGDquLD3ldWiTVauAyoGxNjwaEaQ5LxQu/gvxiz46ALEeiphIJBInktUX9dGhhKOz0ZQC893raX7oxajOSnsHt7QD9an/Dwe+/j52dw9QlMJyqen1HV6i1b1I1KS4qlSkq0BIAevac2wZfxAz2ToaWSO2EgPWGvLMkGUarWQgjI1alHqw4Kq6D8k1/FQiZVRWUfhArwx47yhcQDQg0Lr9U8x+792Y5di27IFdSrEswjpgGjDtTcw/+TWYhz5z4BVgdPxCGKtGnAzViuxJ/KJXQt1Bi58MJpC2csGYg/v+E4lE4lgyauoW9XYry9RxPo5CSxzgKt6Tf/KVjBplemAJ2IGwH0Xrh+8iO/PRlEpBKAhk9PqeMQzBxPKRQrCZQUIg0w1mmjNsHttAs9GEkanLxujBObWR2cH/azv/2ueldEJmY9dPsrw/9UiBSoVSCoWicAHnSnxZEggggcYPP83YrW/E1z35xNY6L4FFYM85zyTf8hTyB13GzMQcU14QHdXuWimsFoy2+BBTWMaoFasRlMKVPn7h1VC0pnXMqsQWvuRsm0gkjj+jpm6hCgREQvWvx5Vx4WUF9J2fJ6uMMgXoEpsQdgHLgEVoLm2nuevruA0X0TA5yoBzmlKggcYYKMsSF4SZ1hTrWxuZHZui2YiFdpGYia4XcxDPmQ2lKD34EH1adBZLRhIkuoQrVmyfNICnDilQGUErTaZztLY4YurROc/4t/5/+GqF4IiZD1/9a1A0d32VO879H9iFH9MLfYQNjLfGsdbgJaBVrI+GoNAGnI/DubwPFM7H0o+KgUgzs6DUwKjIVEJco9VgkFcikUgcLUb1cvX5ZbVVfj3fxpVxubYiwwJoEYJWqMXtQOyOXAB2A4tAQbzY1Is8u7yfzMZFm9EGcGixIIHgFe28zXRjho3N9cyMj5NndsU+HTypuTobq4ALUBS+ap9WZJnBrrl94lQhBSojKKXIVEZLjdGzPRaLJeSur6CXtscvJ6uDFABBL22ntfubHJh7BD9a3I5XBbNuHTNjMzQbFoGBSZIPw1ZlratVR+lQlWlSZmINSKq+ZlWNHy/KUInEdFoJJBKJ+81QABsG5Zw607D6PBNCoCw9fecG4n+UxvsS5xVCwBpDbufwwB5gHzFA0dWt1vJpwI/PobEECbFEoxXBBZw3TGXjzDTWMdWappnn1KWctealrf5Za02mBJ3HQYO1b0ri1CYFKiNorWnkGS6MYU0GQTPf3U9BNcuH+MWT6mep7isBN78XNa3wKrBraT9LZZelosNMY5ap8XFUnsX2vSrYMBrK6pvbsIYihIHNs1KCrxwTDb7yKSDNDUokEkeFUQFsXc6pr+chGj8hOvbdBIFev6RTBLwPGB1Fr4V3uDLEslAIhNCjHD8L2ptZXtqBRtAMsygGKFGE9ib8pouIsjuDIHjvGcvabJyaYa61nkbWIjO2yiIffN4b1c0c/N6iwNYkAcppQwpURlBKkVtF3yiUyljXXEdz7mEYYhqzLvvokX9d9Vg7PktrPENC7OXvh4JtS9uZX5pnY9jEGVMzNBtjA/Fs4eKJIrPRW6Xs1zMpBF+nbBDEVZkXAWOG4txaLJZIJBKHY7RjZ5AhGWRFFAyGBtbZk8revuo6DCIs9x2lB6OEQAxwCiegFeI8nd4Ce5b2UfhFzDm/zPpvvhlB4aoSdjxXKiywY+svgmhsiM0LviyZyqc5Y2YLG8ansSaPgwpVvS/VFPogB4lk62Bl2CadRLKnIylQWUVmDWMNoVcGIMedewVzN21mfGkHexE6DLMrJeBR6PYm+lsvwmoVNSlaMMpQBtjnDlAecATdYbacpZ1NoRs5LqZOgEoIZnW0dEYwOk4WFSA30U+gLh+JSLSS9oLiYFfIRCKRgEMbSSqilT3VvwefPoSyEqs67wdzcbwIfQdGB7z39L3gesvMF/tZ7B+g63soFJz5RHYHz9Sd7yNf2j5Y4NHexN6zf5H+mU9mLNZ7sCLM5nNsGN/A3Nj4IEgxWg0WZ6Ptxd4LWukVuplhN2USyZ6upEBlFUopGplBa00PsOMN1FNex4br/yfjKPYg7CMGKbpaIew7+/lYY+kVDqUVmTcUuJgxCZbCF+xe2s9Cr8tEtsBcawN51kAbg6p0KBrBAUXlodIrHM3cojWD1QVAUXqMqcQtVIO6kottIpEYYXQ+z2jGIV7Uw8BDZHT7mujnFNO6RRkog8TRg6JwvsR7A8GxsDTP/uU97F2ap93UNLIMJOCVp/eQS+icdTFT+79FtryfcmyW/oaL0EbRJC6yJrM2E+PTzDRnmWg3qw5JNQhS6szI8H1Ug121DEpAZlX2JJ0DT09SoLIGWmsyAiEziGh45LPpa03706+i2dnOBFHNPj++mcWH/BLLD3oyZa/EAQ1l8dphlEIJ9LwjC/EL6HTB7v5ueqHHZDbDmB2jmTexWVbNxjAohG7hKHygCSg19E8JIvRKjxSeRqaxVg9WR0m3kkgkakbn84wSSzox06JVwEvM19b6ORHBOY+vunmUAqs1LgiiAgpY7nZY6O/h7gN76PaXCBisaYBy5A2NFc2yK1HasLzhQrS2ZAq8E1CO8Xyc6dY061pzTDTHUcpEXV6oSzlSLcZid2QIYDK9QqcHw/NdOued/qRA5RAopQZCLu89vYc+k/0PvhJz9xexi9tpmUkOTJ9D0dtPsbyEVzlTDYs2QtABJYpCecCSNw3KKgyKoIR9vb0c6CyipMV0Y5rpsRnGmg0amaCIdeF2w5JnBmvipNKiGlceQiVOq1xsja4mmibdSiKRYO35PKMZlmjMFks5zoc4MFArlIpDBCvpCcGDrZxbQwh4V7DQ3c+PDuygWy7igkJpi0VTSoH2GcoJmTZYbVCVknag5ROYba5jprGOsXyCdqNBltmBeZs18VYHIqWP5zhrdHT1DlI1IqzUqyROf1KgchjqGm/hhL4TtLL4s56MAsZFeFCvYLw7yU61k/liEWtAGxNXAcpjgsHkgUaukQBOe1CKTBmWfMFyv0vXdXAsMxXmGGu0Y/1VKzKjkSCU1Tj1XhnbAjOjMDq23kHd9iyDL+9qEdmhhiAe7veJROLUZ62JxrVoNpQlpRdcCHQLTwjQyg2KQOGFhlFk1oIIZVlyoHOARTfP3sV9LPS7WJ2TmwAE8kxhjUXwhNIQWpBjMFbhg8MoaJgGY81JZprrGG+3ybQhq3R5QaTyOYkZZQHK0uG9YG20xXcuxDI4Q2fv0WGIidObFKgcBgFcpXzXSlWOslRfFRgfa9LK19OyLQ4UezhQLNBZ7iIEdLDkGRitMUbj8OhodItXgUxpZsbi125fbw9d32PWzTI9Nk3TtvACEgJGhH6lW/GVkUv95dSVqDZmVuo5QqwYXV7rV2DlAMTVv09f9kTi9KI2cBs6uMaMSlmW9MpoU69QGKUQ5emVUWgrIvREYVyfpX6Xff297OvupygLukWJwWBVQGeaps5AK4zSlKWjCJ7cGUwWg5BWPsbs2DRtO82YbWOtxRq1osvIGo3VsaU4BAGpW6DjeVdV515EBsb8afLxA4sUqByCIFULsobgYrq09hrwIQYGudWIzQiM0242mS6W2ZvtYb6/gJOCTGcE7/HOE5SgRONViXYWpYVCAloU2mq6YZGd3T5Od5lws7TzNnkjR+m4Hw2rKT3Yqk5beoHKY8X7gNdCkGEXUf1F9j5UaddhkBLdIOtWxOTLkkicTqw1n8f5EN2xBZb7Hi/QzAwKyC1Y0fHcVrlmLyx36PQXOVDsoS/96ImiNMEHGjmMNTNsbqLYtepGbOU53aKMdvVGMdGcZF17HVP5FFrnVbARyztG1+egYVbEqHjSNVk0dDF62HqsVD1c8OCsceL0JwUqa1CvQOqoX6v4hQqVcLWe6hlRGGNoWMPEWIuZdpv93Xn29HfTKZZi+59YtJSgPU1t6bvYNUQQghVybQmi8C6wu7ubBRaZakwy7dbRarQwJkNUDFhq87flwmO1IrOxRKSUrk4QK10YhXgiQY0EXgMxWlzZpHpvInF6UfuMOOcpnKdbBJz3VSk7njuKMuo/yso12ypNryzZ3dnPgf5eun6ZXtmjaZtYJUgWyBuK3GboHBq5rewSojllWVkqtGyTdROzTGUzjDXGyaweDFx1vsqSVNYKuhosSJX9UWooADbIQL8SHz7MoqTJxw8sUqByGGr75czGPv5Mq0FWIlTCNBEh04rMKoIomnmLTVmDid4EO5d3sdPtYbnXI8shVznO+TiskEAwgUxnoCDg0dqiSsOidOm5ZXrSY6zfZiyboZU1aTYaUK1gAKjbCAP4gah2mA4dtvUJ/TIKb2s76VA9R7SZTvXeROJ0IgYBQj8Iha/ai7WmoaMnk1KK0gWsjd5PvvQsLHfZ293JrqX9II7MasZMRjDxnGUwZLmN0429xQVHpi0my/AhIMqzcXIdm8Y3sK49Q2azaPrmQmWBD62GITPDwKNmOGt5WLJabepW/y6EoV9K4oFBClQOQ/2FsUZRSsyuxOA/fq1iwiV2B2VW44NUpmyadrPNVnMG42ac/b19LPkOXdcHZVDiCErIjQEUpZRk5DjxdIoSoxSmoVgqOyzLMm2/xFgxyZyeo2GbSNX6HJTCisJaVdV0Y0lIUad7pXK1je6SmdZoPaxZl06qac061XsTiVOMww0TrLt8fIgLKaMUQWLAUlvgBxEWl3ss9zsslQvs7++n65ZRYmloS+EcNlNYZZHMYa2iITm9okQI4BSqUZWTabC5vY5N7Q1MjLXR2gzLNpWBnNGQ24MHqw5mDOkopR11mx01dau3S/POHnikQGUNVtd4jVaIUYM+/9p8SOuoSB8VhRk9dEnMbANj5phuT7JULrBraTsL3/si2fxOfHMKd8ZP4HBoZQh4SvG0ckOjEVch/W6g2TAshQ4LxRJLbonJ5jQtO8FYs4mR+EXWSlG4KI7T2tDI4r6pSoDrXOw2qverFqeVpcf5KNitCksn5oAnEokVHK4z73DDBOuySRxk6in7Jc2dX8J2dsLERsozLsYZTb/w9Msu+5f20pF5+mUfhydXDUR5go5DBq0BnctgIYWC3GQU3tPzDlM2mWiMM5XPsmF8hnarMfBkqR1jldJkVgbjP2Ao8l1teb+WNb6m0q5YNShXJx5YpEDlEKz+wkRPFcG5mKUwWlWtc8OIf6XwSwYrnVajyfgdn2D2E6/kwOI29gAdQMY30z/3BfTOvgQXAkpiR1CviB4GKHDB0wyagGdPfy8L3UVmWhO0+1PMtGcxphlLNxIV+5p6OnMUz7lA9EVAUXpBiAFNkDhno/TxvWTWDBwfR1mtrk+rmETi2HEo2/s6g3C4YYI+BOKaJC5gsu/9K2OfeCW6s23wXG5iC+WT/r8snPEkdi3tYr63SKYVFhN1H5nDakMAPB7EQFA4QjwnoRAFea6ZytezrjXHeDZBI2/SzM3g/DfqGBvPH3EQq6AOa3l/KGv8lEV5YJMClUOw+gsDMXPRqJTuo46IGllzQFYIEjtsvvMR8g++mByhBUwSnW33dnZgbvkTjNZ0HvRkFvt9tNYYFdDW0LIG5wPzy+VAgNZXBduX95CbBXqywExYz5gdw5gco+LsIR/AGkPpAr3SkxsQJXhRlJX6H6JbrjbVOHTiCiyeOIbBVtU2MHyvqZ05kTgqrF4AHNb2vurMW2uYYP00dZCilUJ95yNkH3wx1awNBOgD84vb2f+xq9n3uFewsPVxWGVQKErxaBsDDJUL1itCoSmCp6lMFOUTtW1jeYvZsWnWN9cx1R5DG0vphMJBhhx0jqiFr3Um5J4s75M1fmI1KVA5DEf6hTm4llpPHQUdHNknX0ktFzPEQKUJTCLsRtH57nvYv+VicmPJrRCUQYKmVwRER38DS0CZQGYyDAbvS360sJMDyx0mGhNMtWYYzyZoaYMxin7pcD7QLz19JxitaTcyFHGekFZRSKsHDrxRXOedkGdqMGMjVDoXm9qZE4mjwqGyJnUpZLS0UXfChDAMYuphgiAj5ehoDqmVQkvAfvz3qM85JbAI7AUWEfoo1LffTXbGY9E20GhawOCBsvQoFwW2oDEhusL2yj5NM8bcxBTrxtbR0uNoEzsYjYSYgZbYdCCiEK0GZXF1H4OOdH5J1KRA5Qg4ki9MHdSo6uRR11LVHV9CL247aPscmANaCPs725nf/QOWzjgXrQxZsPRDSRE84hWZEsQEGplFoyhKRxCFFsOCLNP1JQuuw6SdYEPYyGSjiSMGLJnR9JxHJM4QUlB1KelBa6DWuioXrZylAVGoO2hf1sOTZmpnTiTuPYfKmngfFzfWrK0VG/1exixKbAWOWZnqVs3n4a4voBa34YElYoCyDyiInTcGwXe2oXfcAmc9Bi+CMlGYj4n/V2XMtnrtyTLDTHMdM831TLemyGxjGDSp4QR3kTCwdIhOsrEb0qQ24sT9JAUqR5m6zc5UrcKytPOQ22pgnJhd6RnP/onN7F3eT6fsYZTCktEplrFG08BgtaKUatZPEIIFXwp5JjhXsDfsZnm+S1uNYfUkcxOTKGPxPiBKgxFKEbSK3UamWgb5apR7PJfU6ebhym51+3JqZ04k7htrDQusxfvOD51XV6MqLycYzciEgTeJD2GYUdn/IzywnxigLFWPzIgzd2rpfKN/gCITXBkIfYW1YJRGBQXGk6GZtG0m8hnWt2Zo5GNI9R6MVpVjd12KGjYVxABs2KlTC2LTuSJxX0mBylEkhID3MrjgK6VQE5vu8XEWaK97CFlzM001wX6zl33dBbz0sFZjRGONQaGR4GnmmlIEJaoa2CWIVxA0+4t97Ozvp5Xtp/DTNLIZxhtjKKvol4HCObraM6Mgs9lgZTQMVOq5G8NV0FqC2tTOnEjcO9YaFljfX2dGvA9x3tcanT51sFKXl50PMbCpxP5l6VjoL7Gz1AjDAKXO0dQZFUW12GnPopymcCWZztBYggp475hqTjDbnGU6nyIzbRq5xQehdKEycBNC1fkog+BrOCjVGD3IGqVyceL+ou95k2PPn/3Zn3H22WfTbDZ5/OMfz5e+9KUTvUv3ijqd66q5Oz7UZmsCZz0RmdhyyJWSoPDjW3BnPAGbZcy0ZzljciubxzYz255hPM+xOTQzi9EGowSNAh+nOtej2EvvWCr6hCKWhArfY9vSLnYt382uhR+zf+EAPVdiTFT3I4Krhh6CDDwMBkI9Vvo0rH6/icTpSB00HMvPeH2xroONovRxkKlUWZU1XjsEqUo98dxSuKg/c97jypL5pQW2Lf6Iuxfu5IftDcy3NxNlsjGLEhUnURALChnfQmfdf8N7wSiLyWJnYW4ytoyt59z9Ozjz7puY2fNNcqMqDxRFVunaRGJzgfceX51Dapv7g7NFw+nuicR94YRnVN73vvdx7bXX8ud//uc8/vGP5y1veQtXXnklt912Gxs2bDjRu3ePrK45a12veqhWEZpw5XXof3pRNQJs+G2tg5fFy1+HtRathNILzSxjw/QGJvuTLPUXWfD7KOgiHho6o+j5aORkTPWigjeAi3PV+94xpgzNhmGhN8/ucoFmPs8mP0VTT9BqtCnyqE3JcwtKD1Z7uVUDu+uRpp8VzpCrf17hMJlamROnIPfUFnw0qWfuFGUsuQpR7C7BE0TRLwJ5ZgYu0lG/EoaaMhUXGIvdPkVZsNjfTycs0g/d2PFjNAfOeB6z330bVR52cNbRqKhdefDzQaIFvhehGRpMNCfYcNeX2PTlN9Ec0dVlE1sor3g9PPxnMbpui47HrPASZ54JlC6MtCSvtLhP5eLE/UHJCV4eP/7xj+dxj3scb3vb24D4Jd66dSu//uu/zite8Yp7fPzCwgJTU1PMz88zOTl5rHf3IGpPg3oVMfrzqBGT/69/IfvEK1cIa2XyDHpPeS1FNkVY3EkY28DSpsfTD3G1kuk4er0su+ztH2Bf9wA9v8Ryvw+lxQcPWpAQNSiioo9Cp+PJDLTGNK4nhGotlTUyMt1kXWOC2fYcs+OTtFvNyq2ybh1UQ6MlJUg1ZEgPVoGC0lU3VHUi1VpV49nVqhO9SiemxEnPoQSuo2Zkq51f7yvOh9hdF+KgwPgdigUa7z1KK0I1Dd3EFx5kZ021bb8o2L/UYb6YZ8kvsH9pniBCy+QoBf1Q4koh+8GNzN71T5jOdhyx5CPjW1h+8C9SPuQp9MUx0WzQthO0zRSbtn2ODZ+4ppqqPHJ8qp+K5/w15UN/pjpmodLbCNYYQChcFANnJjpgrxbRhkosnM4HiZojvX6f0IxKURTcfPPN/N7v/d7gPq01V1xxBV/4whfWfEy/36ff7w9+XlhYOOb7eSjWqjmPGsXVmRWlQc7/WXrn/nfstptgcSeMb4TlvTQ/+SpaI8HL9PhmFi59LeV5z8QaRTPPUK2cdjnORDbF/u5+9qm9LOoldAmZyulLiSNgg6FhweeeJRcIXWhZA3iUZGgx9N0ie3QX1+/izCQbzToaeoxGsxGHg6k4nt17AR2DkkGhm/ivBEGqGUEwXPEpar+Eap7Qqtr0sci2pAxO4v5yKIErxFIuMDBCvC9ZlrVKp6ULoIZ6thBiZkOHuDCIwUnAS/y+NfJoSbBvaZHdS7tZ9h2WXY/CFahgaWaa0jtCAJNrciX0H3oZ+x52Ka2d3yEs7ESNr6O36ULECFbBbDbDbHOaycYUCsP6L/zfBwUpce/iIiT/1KvgYc+gFE2QunMwHj/nhqM7UAcHKalcnLg/nNBAZc+ePXjv2bhx44r7N27cyHe+8501H/OGN7yB17zmNcdj946Y0S/kSk+VOt0Z5wWJzuDsSwBBf+d69Af/X8DKL7Du7GD6316Ke+67KM59ZjxtCDTyjI12itl2m/WdaXb39rK3t0Cnu0RQgSY5HhfF91rTVJ7CC4WJk00zDYESQxTndoslfuyWOVDMM5FNsr6cY6I5QTNvxNbqkTp0Vo1d9yEKeEcnLmsFLgi9okpNa9A6DEa51zX1lW3PB5/w723AcW9T9SmgSazF4QSuA50Zo7qSIxeGrv6MDp8z4KroyHtflUiIHcZEfyPnIRAzmstFwYHuIgd6+9i7vJ+SPtZYrBhK0ThKLBlBBA9kSqFtLO0WzlFsfiR6y6MIBHxZ0jZtZlszzI2to52PobTG3vU5TGf7Id+LQmDhx2TbboIHPXFFG7VW0MjN8FiueSzStOPEfeeEa1TuLb/3e7/HtddeO/h5YWGBrVu3nsA9OlinMeqpUgcp9eC/IBCcR//7K+Awqxf7iVfCw56BqGqekFIEZTDGEDAE3SRngv0cYG93H4X0sdqgvUaFEtvIkAKsCmTWVKs3hRFFPzik1CCG/eUyS40uPTqMl+O0dJvxbJJ23sIYC94PSjij2hSlYibFSaBfCqp6/tq4qnQx66JVdMwc+MooNeiOCqqao3RQyejwq9bVqfrBfV4QrVZcRI6n9iBx6nLQoLwqy2KMHnx2Rlvz78lHaK1ykvexhViqbOuwXByim7QeeqQUzhGco+u67F7aw4Lr4GSZvguM2Qa+KBElaBG00jhxYAy+5/EKbMvELFAwiI7fVW0smydmWd/ewHhjHGsN9SD2Rn/3kR2nzs4440yv3QnoVf09XLuElkjcF05ooLJu3TqMMezcudJrZOfOnWzatHZbb6PRoNFoHI/du0dWDy9cYwuMWTlESytQP4qGTId83mr1on/0RfzWJw2yKvXJQas4hbTdnKCRjzHdmmGhv48D/QMsuy5BC2MqA+tQWtPKMnre4Vxg2UczbNEZ6IAJAa81+xc7LGc9FPvJVJOpxjizrTnajTZK1alvRZbZwXsPUpe2FNaYSv0/tPX2AaTe5xUanvg+vQvxsSNBTG1+VQcxdRlplPoiohQHBSGhOvNac2SW5ClYScDKxcZolmWtksWRCENHy0nx+aIuRaogR6rHWWvw3tMrPGKihqVXdDnQ7bDsFlhiieXeMnho5RYXSvrSJ7MZSgIloILClUIIUYkiSoHTBOPRGYxnbZp6jHY2yYb2LK1WayDqr8XydmrLkR2oiY0HHa/hcal0bXWXz4hBXVoYJO4PJzRQyfOcxzzmMXzqU5/i2c9+NhDFtJ/61Ke45pprTuSuHTGrNSlDLcbQOnr1ql4t7DiyvvDFHbG8QjSQg7qMohlr5jgpKAvFZGuSsXyclp1iXu9DqX04CiaaGTpYlPboIIhoyrJPu5WR5xlBSsRD0Q+U4ghZdKLtmgUWigX2Lu9jMp+q7PnHyfOcMWKLIjBoS0SgdH4QgNSGTxICzkFmh9mkFSvMUHUKZBpdG81VbYzBC15DZuWgElF9rH1gzSCkdJURFWu3Sx7pqjhx+nO4xUbM/slBJYt78hEa/YwOLAt8LPfUpR+t1Mh5A4J37Fpcoh869Pwii26ZwvcgKDJlKVxJzxRxrk7hcKZHbnPwYFR0ky2cMDnWQGfQLR2mzFg/Ns2G8fVMNNs0bE6e2er96JXnqXOeiExugYXtKzoTR44GTG5BnfUkdJUBPdTiLLMqzelJHFVOeOnn2muv5UUvehGPfexj+cmf/Ene8pa3sLS0xItf/OITvWtHRL2KcJWgrNac2GrAF3DQqp4jMIEDCO24eqkvtKMnQBFo5wZfnfysNaybnGUsazOZTdPxB+iqJcqyH71T+h7nHLk15DoDCdjM4AS6rk+uNS4IQfrkYiEEend+AdddoDe3icVznkS7P8uUn2Asb5DbelJqTI27yggqGj3JwDdBROJ9rMys1CdJreJ7coSBD4NSMTALIZ7g67khoxeI1c9X/y2MifbdoyMB1v673fd2yaR3ufccyTE7Ucd19aT0el+8l5Gy570Tg8age0SMa1Qs8UjAlQGl4yiL0nmWuovsXNzP3qW90CjJjUKrOGenV5ZgBWs1ygjBx9JOb8lDq6Rps9h87MHkAU8gp8WGxgzj+RSbJ2cYazUBHae+m6FBG6iRbEcGT//f8I+/QtUfNPJuqoPy9OtAG7SsPYR1rS6pROJocMIDlec///ns3r2bP/iDP2DHjh086lGP4mMf+9hBAtuTlToLoIDMqhUX0xhTHDxojLMOv3qRavXCmRcf9KWPF2ONdwFrLQ0bL+YqikNoNBqMjzWZc9N0yyXm+3uZLxcowxLKKCayMWwOXjyuELzzsayjLF3fZzzPadz+H+TffR9qaTs50Syq+7XNdM77v5h/+H+nYcaZbc8w2WiDjq2J1uiB6r+e+xHbLxVIwAc1SDPXx8j5UJ0wR1obrV61YhVcdKmKY+JHRI7GHJyXiq8/PImuVToa3bben3vzt056lyPnSI7Z8TquhwqEVg8VHf193dUyum8wLIWu5SNUf0Zj9rMWn1fBs4Ax0UNlyXWYLw6wvzvPfHeRINAOTZQSPB7Bo5Sh70vGms0qoAo0o/saroxdQdoqTK5p6xZZaNG2E6yfmKWZNdFG4wJYE89R9Xtd6zjw8J+FX/wb+NjLYWGkND25JQYpD//ZNY9XfVxTiSdxrDjhPir3l5PNR2XF73z0GljTO+DbH0a//0UAa5rAhV94N+qCZw2s7YcX95g67peBICFe4Cu/BedjcGD1sKO4LEu6ZZftB3axv1gg6JJmnhFKWOr3cMFjtcGVnmACc9tuYuLr/4eAoIllp1DtZQDmH/4y5GGXM9loM9OcoGmmmWy1aTdztLGD2R7Rb6UqW+lY5lk5OygMghNrNP3CV6JjNXj86IpNK8gzA8RyUekCjdwcLIKs/xYjJ8/VF5Ig8W8j1d9m9AR7pALe1avINHjtYI7kmMHBGcejdVwHC4YQBoLtQQByiIvqqBtz7XkCMRNRC2LjwkQGU8dX+wiJCN2+IwjkWey+Kb3QWeqx1O+x1F9kKSzQlQ5eSsqeUJQepQIm07SyHCeB5aKP1Zai9BgDLZsTVEA85NbQdX0QxUSrzVRjkjE9jSYHldGwlmbD0LCGRmYG/khaDRcDhyR4uPPz0KlsFM56YrUgOfQxhhSgJO49p4SPyqnOoVoba5SqxJ1rCSEu+FnCL7wb/bFXwOLq1csbMA//ufgarLxgKyVVdqJqYRQhoKByrsyNou8CfRdiuhhNIx9n00TGZDlLp9zPsizjdY8gAefUwDiugWL8B/9IPRpNES234//j60zf+Y/sPuvJ7O4fYLF/gEa2h/byBOPNSWbHJmnZFtZajI7GT/WJW2SYbSlcQEIlZiWOAqiPl6vaG7UCHVMoA+FuLPVorFGUnuHckVUXN0X8zzCDM/x7Daa+Ug2OBIoyDC6K0fnz0F0g90bv8kA/iR/JMYN7f1xHWesYjwaj9XyaOgtgrYmf5YFz9MHZlfrxhROKMqZLtQ9VJiIuAXyQyu+1EmdLQCk9+KyVPuACsXvHOxZ7XRbdAQ70O8z35il9STvLybWhLB1FcDStxflA3xS0sgb9oDEKWsHglEchNExOjwKnPOONCSbMOJONWSaaE2Q2w1X6LiF+xxRDUfroMT8s2sA5lxzBhg/Mz3Xi+JMClaPAob6stWnUWgp5ADn/WbjznoH98RdQnV0wvhG1avWyWqxbdxBICBgVsx3eObyM2PMrRSs3GKXxQFAw1m4xSZOem2R/Z5HlcgHJ5glhkW7wtLSlteNrsLR9EKTU5zQNlMTx8HZpO/zoa5RbLiTzmmXfo6Oic+6ebpPJfJyZ1iwzYxMY3UApgzVE0W4ZT7b90kV3Wy9oYymcR6EIMrLaNWrQ6QSVJ00lLNZak9somh0NFEfbqAeOwCOZmTpVrQZBTLzoxEnX8f2u1RF0RAHpiN4llYiO7JiNdomtfuyghOLVIYf0rT7GSkkMQqoAKdRlWcVglpWvypFVDHxQIDSaSQkiNPKhjX3fBUKQ2O4vgis9tiqBuCBYE1DVZ1iCp9vvs3fxAIv9eZbCMmQOi8KicF6zVHbpG4sxNorJLWTa0vclRjnGVEYRHIULNFoZ2ljQMK7HmcjaTGaztBttgrbklRtsv++AmHGJZ4xRC7cqQDvE+SiROFlJgcpR4HBf/LpVd+3HgbYWdc6lh3zu0XpwvDBXKXNlUD6gMk3hAoa6BAUNrbHWxIuujSdaFzxBNA0RxhptrGmQ60nG9Dz9RodClpHeAor4oagzKcPSz3BMfFjai1QrzqAcTdPAaHChy76yR18t0fFtxswkc60pWo0WWmmsjlqUvovP7kOglUNWZTb6zpOZWLeKgdKwDDQIJqpjbY2uuidiEDAMKlYK+upj533AeRletA5a7VcZmUNcwOq/xaH+RqMlg9QSPeSegvjRbepj57yMBCDxb1aXWUa3q/VNMGx7D1Jl5Iyu/ErUoGwTqgme9d9Xrwow6+cZutEO/UKE+P0TAhnRf6RwAbGq6j6rvn8Elotl9vb2c6C7wL7leUopybA0yAja43G0Ghl9r+iVBWO5JdMGRcAoS4aJpVBtkWDQeXSmHc/HGM8nmMpmaJoxtLFIVUINtVucUoPMoIQYptQTmaN49oH1+UucHqRA5X5wTz4qtQYCDq+QP6LXIZ5QjY2ZBy2grCaEUKWyhb6AVWpFW65W8URqJVAKOBSlgDGGuYlJ1k9N4H3JfL9Dd/rBNIjZE0sMFvrE81/GMGCRsQm8CEo8Y80ME6DbK8gM5FnGknTpFj2U3se8G2eiN8VENo6hgZBFwyil8RKLTFrrqKuRoZNt6WOxyQepXG71QQFfJc1ZqWXRw8xSHdRE871htgag9LVPxlCbMnQhjYGN4mB9y5qZsZEduy8lotOZIzlm9f9HNSED3x0vg/vqYGWQSVEK74dBS/1d1BqcCyhV65RisF7/DYyOGTptVv5tfRD6hR84KQsQbewV/dJThEDwgdIVKAWZMQQf6BWOMvQ4sLxI0B0OFB06y12UKFwRP3vBlBQuTj4PGrCOprY473CuYCxvorTBeUfwMRvYL0sya1jXnGYyn2bd+BztvIW1GT4EytLjJNDIDMZonA9kOh4HGJZ8RrNbOgUpiVOQFKjcT1a3Nh5KMHg0FPKDksWKC7MmsxBE0/cualeCYHTA6HhiV9RdQfFENt200RBN6eqimdPIm3Qe+kzmvv5HdJZ3soDQh4GgFsCjCGObcJsfHTUjHhSaPi7O/jE2WoMXBZnO0Qr2hwN0sg67VYOMnHY2SUu1MapBllmsVlUrcXxvzkvl06JAAgEGmZS6TTI639aiRirtCnGya1CDlXYdSA5LMmEghnR+OOla61rQXK+e1WBVXWdgVutdRhkNTO5NiehU53AanCMJ4uuurRjAxWxbqETXVVUIa/Ug2NYadJUhCFWtTla9lo9pk+o1Y1CjpS73Dbt0gnPIXV+AxZ2EyU2ErRcjysTvrIlak6L09J2vApY4+7wOg10ZA4xu2WF/b55+WGKht4zSnuB0lZ0LBPFgDLnR9IPDakNmLKiSEAIN0wBVxqyRznAhgIGxrIUOOZPZOOvG12FtA60tQdTgvFJqTdn3KBOHGzayKJwNQQbt+6Ha7xjAD0XBicSpRApU7idH2qpnVmVP7m8nw2oBoJJ6vk4smQSpnGGrKadKAkYpShR5bqtOJI13Pq7yjWFycgK55LVs/fdfYxnFIsIBYImYiTHA/gf9YlxxotAmw/sYLDStJYij7wN5phEFPecJLjAGBDSFLpgvFrDaYH2LdtamacdoZ2MY28AajdGazBAFjFV2qHDxAtSs5okUpcf5EFeMVW3eOU+vkGqlqzEmiibFC76SB/fLasVe/V1yNRQZigjWQJDYSloHKDDUB8X/r92dciR/25Vt10eHtWzM72k/jsZrHokG556C+PqYeQn0+h4vdSdNnTGpmreqn13VJRZfNgaZw0CoCiACuBCwWmNMVcYLlXC61r586yM0PvFKdGcoYlfjWyh/+vWEc58RNR1V5qb0ggvRekCCY6nbo/BdlsMipXTplMss9QpMgKIUfCgARauRYXJNlgtOPKbSkRgjaA8mZHSKAqsMrWaOIs7sadkWk3achh4nM23GWw3ajQa+Cs5dpZOJ1gQKo7MRs0kdP/MqBiVKE0uuRo10/RyTj0QicUxJgcpRoC4v3NPF6v5cOOpVo/cryxrD1aQmt4rS+0HXDMTWzCAKVDSYMrmtsjyVH4sSirJqQM4M/fOeybx6B9P/+YeML21nFlgAdo1t4s4zf4mFsy5GQoiDz0QITtDa4Hy1IhawWtFXJcYKmWSUZaAIPfLcEDws+5JesYzIfrTOmMxaNHWbufYEY41xnM9oZNDKTfUe4knaKBkELiKCCwp8QCuJFxQvZLUdv0gc0Ejd9RENr2wWa/f1IMVGFk/wMBTrDkpI1d8rXjiHAcqhAtJRncpBf+uq5VMt7oCpTXDWkw7Z8nkkrA4WpL76j7z2/R38eKjXPVINzpEG8UoplFYoP8ye1d1XIcRAQcJQZFs4qco6MXsYA1qpOlyIAtyqvDMMMKMI3X73X2l86MWD+wfHo7Od/AMvpvczf0n/vGfGTKNSGBVY7PZZDH06RYcDvQOUtk/wJSKaUHpC6fASEDGgNNooHB4doijcAk4FLBlGCWXwWJXRsBlBRT+kXDVp0KJtphlrtCmColUtKPouZkfzTFGUMfirhwI2M6oOpUBReqyJgUk83nVGUd2nDG4icbKQApWjyLE+CWgFohWhEhvWq0Sq0of4OEtEmzjIsE5ZBxEM0T+hLm+ganvwauXp/WB1Wpz7DHY+5L8jd34W6exiycywOHsRzaKDpYdXyziKmHkIljKU0ZeEWArqdQOYwHgrB6Vw4kEbAhAk0Cs8PsQMUNPAfH8/24vdLPg2s+NTNJdbzO75Dqo8gJ1+EOqsJ8VskPeVr0yV2lfx4tP30Rk3z6IDrvcerQxaK0ofL+hZZdBlNQSlCBLolh7nodWIF9SyHLrrrl551qUfo1dqG1ZnttYsd3z7w+h/fwXqIBOt/z0w0TpSRg3FhiWOSkzq4+fAjmSCRFF9FtYe/LjyPd7z53dUg1PvS3y+4UTtUQ3OoYL40c6eeuLuagO++rPrfexw08YAgcJX3TdGESpRNlSeK4P3pgjEgFSH6K3jnaP9yVfCYYaBjt/w++zbdBmiNd2yS0mPvUv76fpleq6H98I4TSQouv2CgKOVNwlS0HMB7wLeR+2YzjSZQMM06LuC5bJPM7M08gyTKyZUA+MaNBlnPJ+k3RhHK2G5jJ9Xa6rsaAhRLOtDzKyU0Mzq0qaOCxCtKGtHZlFkNg4lrH1oUoCSOJVJgcopRL1ChdiBEAWDse6sgycETcNWIsMQLw6Z1eRVx40x0UW2dnqtU+oSovmZQsiqTgeUonf2pYjAOIFJrUGmCUHhQpe9ywvs786z5JbRweG8IpTEoMkQyzvG4ILDYggBev0CZRQ2V2hvUA46rotzDqss/X7Jge9/mMnb34vvbGcJmAKa41vwT3gV7qHPAq3JjEHpOB/I+biajPV3O9CYaF1Nqy3DYEDh6AVQKxjL9aCtO74voVGd9Ovt6uO+Umw74j4cworMwEHlju98pDL2W1XyWdge7cp/8W/WDFbWKunUmYm65draeGGuSyHWqoF3SD2t2jmPY7iqrp/L+0AcYTcMDGqtzuj7Wb1Po3OWVgc+tT/JWiv31R07gxk3IVTC5mF3Tl36CVIdwyogUyp+7mM9KCBYkOrxQOnia1sdfXfiEEAoAmQmYH/0xRXlnsH7IgrFS4RuZxu7vvNv7N/wMLphCWUC3kFOhpI4jdxRoMRgrSagcBRkWkddWLMSihca3xeCitmT3OZ4KTGZpt1qMT02yXQ2RUO1KLzFC4zlWfRdEUeeGxRqUA4zxtAronGdqzKF1gwF5pk1WKPxPgymtafgJHG6kAKVU4zYmqtWWHvHEn0U1dYC2uEF1KxYTQ/dQIllAqLja068aLgwXIXlrazaNl74jM5xLqBVTjNvs35shmXf58DSfnZ3D7Dol8msiSZWwdHrFTSbGZm1FKWjLBwUCq3jSt/rqI/J8xwl4L/zado//HMCQgnMA4uA7myn+clrYHk//pxnkGdjzLTHsFleGWuFWJrpF+RG49GEEDUM9aV0YAI26BBR0ZfChyrTRHXxDXi1sqV8tdi2bneuj3+dVq8zMUZXGqGyJPvYK1hrBU+1glcfewWc/8xBGehQ/iBD07wwKEOFENtS6zKMD8P2WqNBaV1pGqJDKip2j8VXj2VEU3+WQqAoGXxGVguRB3stw0zd6tJP7doha1wk18oEqSqgjvtRlW1Gykql80ioheDVZOHSR22VF1zwKPEU1WxMG+tOBCRuJ0IzU2gdswtqedfI0Y8t+H2gR9RhzQNdYPfe79FbtwVKRaZCpU8paGiLYBHtcOJoZhmu0kyRKXJtyDAE5Sl8QBlNpi1iQKPZMD7LTGOCde1ZJlrj2CzH+0Duo8g7MzEoa2WGgEIDdjACQmjY2NkzFIrrFZ+T+FnVB7kxJxKnOilQOUXRWqMB0bVGgRV2+zF7QvW7eEGrPViiYHEoTqx9F7z3dIvhigwYDAUMEksLPsBYwzCmNLnNmVBCOxunZWbp5AfoS5dO2cUHh8agQlzli/dkSmMySykOHUArg8klGteFwPTODw0upCVxlWuBHKGDwn397SxsfDhGtVgsJ5hoTmMlJ8saiAh9F8WDSlONGhBK50GgkWcg0WfDVmmpsnSVyRugoh1/twxkPnabGF1nH+JzZVYPgpm42teDVtBQ/QFE15NjFeruL6AWD17B1ygEFn6M3Pk51DmXHlL/Ubo4GqHWx0RzMY01MbsQRkoxdSbJByG4WI4zepilqPzIBu289WTfIEMPEqV0zEqsoTsZnbO0IoABisIP7rMjE3QPlQmqO7myTA+DJh0dh4sy0C9jq3BuAYklHucC2lZmbt6jJAzE3U5BhiIoHd9XEHouBgCZAdOYRQMFMThZqG4lMWCJYT2E1iSE2PGT2RxlwCuhDA5xYLP42gUxkMiURUfFetS1hJwsL9HW0FAZY2aciXyCDZPraNocm2UgURumlWCNIa9LNcYgytHtx26jEFOdg++OD26gTwlVh9Pwe37wyIhE4nQgBSqnOKNp+lG7/dXbaKXQtk6/x1JAIzcrZtxoBa4KLKImI5547YiI1Ora0yTEG4p2s4G1OY3lMZb7PVp6mb7t0A/Rqh8RMtMACvquRAJkKiOY2IqpBOzdX0MvbcdTCVqJFw1FvIgEBDrbyH58K71NF3H3/CKN7i5y06RlWpiQ0TBtyrzFeHsMo3JQUFa6iUYWL+4+1Hb8xBS6CF0nZDpapIuPbcylCxRS+06oKtsU5x8prQkBrKXqphiaiYUgOIkCT93ZeUR/w7CwIwqTR/Qf8e8UNTil87HlvBJKxuAqUBIzJC6AlSrYDFFsGo3w1CDAqW91UDIqclVKCJWHjQvxvbcahsya2DUjVVtwkEEAKCNt3c7H4XjOB4yJE73FhcHE67pDB4ZeJzKiWxkNCK2phKICXhTaxy4uqZ5BVRqtMghIDKqCCKIhD1IJzqMHjlbCcq+gKwEvfbrtrTTHN9Pt7KBACER/IKgDY4Vqb6K3/sL4mcw0PV9ivIZMUEERDChlYkDhBJWBUVE027A2dgoVmslsmtmxGcbtOM28STPLaORZ9bdV1XEbBphQZ7FUzJxUZSutBKpunjpT1sx01c0UpyrDsNSYunoSpyMpUDmNOFw7qB7RXtSM6gZqDUcj0xSVG2jlSDEQkio1HOKnQuzUkFCv4GK78HirxeRYi+Bn6bsey0WHZTfPctnFocjyHB00Sge6fU/RC+TG0FieJypohpb9QvyA1v8CLM7voDt7AaiA8woVCvpFn9IL2ggTfowJN8lka5yGbtE0GYKmWyjGGhatoHAeV118jVbRl8YMvVlKEfouUPpAbjTNzMRApfTkmmqWEdGzZZBxYODv4ZzEUkv7yCaAS3vTikzKaPnHeaHvYrYBqbNlw1JeoLrw6zqQiEGmtUOjL0dAZET/4YeDI6F2Yo0vrpSm9H6gh7BVF00YERPH0pfHuTj/qXQeRV1yYBAoFy5eWPOs1lLIIFMXy1ZDrNE4hhklYwzagyhfPUYoKmF0rckxJgbRTkHwniXn8R4QhVMlnWKJhaUF+izhtYMgNB72Qlo3/zFFJZ/1xIDYVO33u7c+l74EXNfTzOMwP9NUVWmp/jTG9w4GV2gKHGM6p5W1aWdjZM1x2o0xJpotssyila4CRz0QHWut4+e9KqXpqpQjSOzwMYFSRYG8UjHzpXX8DGdm6DPDiCYrdfUkTldSoHIacaTtoDVr6yFiMFJrB3RlKV89AudrK/9Yjqj9TjKraeUWF0JcKVqhnbVpNdrM+Vn6oU/hl+mHRfb3lyh8jyw3KLH0nSPocSYZmsvVWZUYAkXrfg348Vl0HjMyRkO/XAYBoy2ZyuiFZcp+lwW3F5MpJhttcsbIfZtuv0mmGwRiKcgohTAscS33HcbqgbFXpqAY0Q+IitbprgzkVpMpqbL9VTaq6nzSulopn3kxMrEFFrczOiF7eDQVMrEFv/UJSKVw1pW+pb6wx/R+XF17BbbK1tQBqa+6tbxXVVlrJFJAkWdmkEWpW6+j8V2V7agycWqgyxl6mTgXwMbVvKnM8VyI9weiIVrhhdzAWDMKW6MIVmHUUDB7UIePUtV7G44zqLMBQuyqigZrsdwWpBIHK+iFSjitNMF7HMJSr6Dnesz3OrjQo5AuhfQpCw9KMFbRzC1BPIsPehzd3jVM3vlPSGf7INfj2ps48KDn0jvrCWglNDODdx7RGdrFTIoLgcxaEINTJcprrLVsyKaZaEwx2Zqilefk1mJMfM1aPzY6yiF+z2L51YfhEM6oN4uZM+Pj38BUxz9UGbPaDLGRRzfnQwmfE4nTiRSonGYcqafLofQQdXuoNTFjMDrrpBZxGhM1MNHLJFCKVMMCFUYMNo8/12JPbM64aaL0FFo2Mt9dZn9vkaVigf3FAkp57DmPo3HHZvqdHZQIhuHMoZhpUYTxzbhNjyQ4h7OxNdUpVbnbAt4jvqRHYHq8TaYzlsplFsIS+F2ghKZt0tQtWm6SlmlgJEcriwtx4m3mDdoYGlYjJsMVjp73FB6UFlpWY0xsgRaRaridVEPvqNpjK8t2Y3FXXof9pxdF4exIsFLLa7tPfR3exeNYXzRFhoJpH6jEpFLpkGTwO7SiX1IJVKOYV6SSEIdK3CsSMwwujJT54mOiSLQSx1alpdocTUHVsh11JzpTuKrTRxsVA4UQRaOli3ofpaOupzYarLNMzseLq/Nh4HuiqwxNZuuSVD2zKWZPXJU9sQORsMe5kn6/xCqhGwqWyy7d/iJ7ex2cdKvPHIMSaFEG0I482Pj5NGCswZ9/Cfsf+iT03bfgDuyj35zEbXwUNHQ8bkoxZjOWvYAKYBRN0/z/t3e3QXZd9b3nv2utvfc5/SRZwoplI8mPxJPADcnYMbF5iJ04GOYGQk2FO1NkEhNc5qFEqhhTCXZcwUmKjFOGCiEuLpjKjUmloIAJ1/i+oWIX4eHeiyEJ4DEmY8+YwNiWkDEPVkut7rP3XmvNi7X2OaelltzClnrL+n2quqC7T59evfvI+99r/R9oSAMCS1uxtdjEoJpjppxlfjDDYFAxM3AU1k21re+uZeo1ZOJkcndOPUmVOzlZHZNGAsQQ08yr8espV0QxSURODRsVnMjpQYHKc9TT/Ufs8HyI7mtS0mUKSMoidwmNZrz1PJ0/UZYFLoQ03bW0lD79/zakJlUxQuHcuBLGOgvRsXVhEwvDOYI/k6WFFLSs+EUOvuB3GH7jNiyGkkhLClQiqWlW89P/gZnZIa33xNzMK0QPFGAirW0YVAUupl2GlboBGxg1NYWpKG3BgdEyh8wIO1qkaRs8ljk3y2w1T0kFyxWz1RBfFqnEu3ApAdPDwKRS19i2KVizMecnREpjqEo71WQs51389K9Tv/Y/MfzHm3EHvze5/gtnc/CX/5SlXddgRg2lc+NeLliI0eZqpEjIuzrWWWIz6aTrQ8SadMxkjKXM7dNTe/mYK8NMCkimds66qp7JXTP1tyHnTExCrnTTjyHSeJtzSFIgko57ACwrbYtxgZnS5vyeLjE3jhO8U1v8SF23KQ/J5NyTmI5DCpd2sVof8CGkHZXoU65Q27BUL3OoXeKp5QPUjDg0WiE0kWgCEUthHD56FpcPQYw4M6AOkcHA4iqHJ1DXEWt8alMfLdXOS2BHSxiBCZbCR1baBgqDZ8CwmMG7Gh8MprScUZ1BGWaZcXNYN8TZgrmZksJZmtann9sFSmIqoTek0n+TEtXNuEts9+8zv0a6XZH8uymLSR+fSR5ReryOeOR0pEDlNDQ9pGwt3T1s3MQr3xing5pxia8xNL47JjIYm45EiIaiSG3sm0CqVMmNxwpjcYWhLEvKasCgnGe5fh7+F67FzD+P8I33s3zwe0TyMMT5s1m56H/Bv+DlmBCx0aT+Jy4yGAyxxuF9zdIhj69bZudKTAGtbzHREIKhpklJmD5Q+xGVS7NTTAwsx4MsNYeoR6lp13AwYLaYo7RDNlUzxFDhbEk5KPGNwQNVUWBKg7OBpjEEmzJp0s5Uns5MulGFn/51Dpz7a8Tvfplq9AOYP4tmx+U0IQ278z6wMEw3n7oNFM7hTSTEMJ5704SIixFvAzGm46E25ACxsETs+HcaY8ppaEILpB0CA2BTr5XS2dTNtEmBQONTNlKwkdLkHBCTjrjSDTiVkadKKIc1KQBpA9RtmwKbCIaAD3acOxu6I56YArCQI+CYq3EiBkvKK4khTdFeGdUsNcu01CzWB3lq+SAr7TJtG/CtTwGzs7jgcd/7OvVTP6Bc2IrZcSlNiERjqQoHxmMay6huccFjC4uxjmBS/osxFlqwzlIYiAXUIwOmwFrLcOCoXMFssZUqzrBpuMDADQkmdZ/NiSXjnQ6T82jSZU5HNCaXD3ufdleGA7NqpzP/a6Mspj++eqdkurIv/dtUgCKnHwUqp7Gnm0kznZw7/fHpnAJjHVUuF425hNlYKAo3rlApbToaGDWeskhl086mc3tv0jA1YwYUxSzx5/836p/5TWYf+6+MFh9nabDAD8+8gBZP4WBYVdR1w6H6EBZHaNMNtglQVGVqcFY7DoWGpm7wwVCUlqqyGJf7f0RHS0vpDUXpWGlGHFqpid5RVhV1PWI0aogennTQhMDczJCFepbCVsyWQ6pmQFXPMChLnIERkdp65mcqbFEwajwh55PUTcOhOtKedRlV4VLQVoc8ZA/q4Dm4EqmKdC2sTQmqS02gzH9hOwM+eqw3RJOOvawB30YaSxpMGaYbsUWsSccKXdOworAYyC3pc0kyXS8dk1uxpyOt7jit+4v+UBMYRENhU/DTtmlnIpWDp0nYdRvIPQVzT7aUY9J6z9JKk3ZhTEok9b5haWUFU7ZE2zBqa9o4YtSMaL3H+xTsNb7Fh4inpfYtdd1yxqNfZeGxTxOndqjit89m+bz/gN95Gb5tWR6FHDQ7WgMFeQBnCwaLcYboPAM3xFbpaKmch8oM2FTNsX3LmcwWszhKmmBScnIOuJsmUJQpGLE2NQpMhTspIOnKt9NRWsDmUungPTFPAe/+HTmXkni7MQ7H8+9U5HShQOU0tuZMGrr+FpPkXJvbc0MYl1B2289dQJP+djbMDCwhmqnGY4bKGQgmDSxMzzzZtTHpL0of05TcsjIMB/P4n7mGqvbME3heO2KxOUTLgbTzET0zgyF56ho+epbrNu3ihIJ65FOOS1FiAgxcuvGHNj2mdJZoIhZDsB4suLJk5Bsqk27Sy74GIs6WFMDy8hL1qKa0jsXKstI0VIWjMI6qqqhcybAcsikuMEdFZAC53f9y63OjLsNKk6+XjbmLqqWwLh2xYHCuSCXPpQE8ltyvxaXdl9IaRj796HN5bpPPIxVSLmw6Cmp9/h3lxFjDVC8UH8f9VYalYzlO9c8xlja0ND79RseN7NrIqK7xRYkPLQdGHu8jC8O0KzU6FIi0lM5R2LSrUZpI2wT21yv8+NB+VsKIaFpa3xDyDtewLBkOilz+XY+vw6htUvDgSkqXZkSVzjK395+Y/b8/OM73CaTjwXBwH7MP/hWB3Rw876VgPCtNizGOIlpGo4aqiBSmxFLgTMS6koDFUlC5IWfNn0FlZxhUQ7YMBwwGFa0PVPl40wefXrNF6o7cJS4XqYIYYx0WQ1UW4zylVOljiXWLj2D89OTznCweSbOpFJCIrEmBymnoqDNpsunGUcYYqnJqK/qwhlLpsXl3JEySdImp2mI8tdVaKhtSg7Ku0iH3BfHeQdPmapncqM46hsO0dV6WBcPBHAVbqX3D/upQaiznD7DfL6VunsNZiKnHRutboMF7KEwFJuBwlFWRelJ4GPmG5VGd5wJFhvseZHjgKVh4Hu3zX0hVOprQUMcGFyzBB0JcJlBCGEAMrLQ1oY3M+1mKOdi/dIjvH/w+IXpKW2FxOFek4ypbYnxFjAVnDBcYlgNGrWd/k2bWFKWlbS341NArkPNTjCW0qWR1rnJ5ZyUPnMvXNaaEnVRmnRu+tT7t0EzPLWp97hwLjJqQjieMoXRmnItiXTqaWapHaZAieRehDSyttEQ7wnhPMIboPT9a8Sw1S0TX0IaGNjZYE3Eu4kygjT7lpASLNSmX6FC7TBsanHFEPE0EVxgK6/C+29UBYwo8ubLMQlO3DL7z97Q5f6lLuLbkPjsY5r77n9l/zhXEaHAYZoYFw2rAoClTPotPR1Kbh5vYMtzMoJjDBseotcwOqjR/qiox1lI3HmfTcMBBCcG31D7tHMV8/FVM7aqQm9kdfrwzGRgJZTk97DL971ozkkRkQoHKaepYPVcObxxlc5VBm/9yH3djzUdCXXfbTuEMobDj/wD73HRspiopnBlXLEz6uDjKIiWmdu3sOzFG6gaGQ0dZDKkbj3FDiIGz4lkcqA5xqDnEUn2IA/UiB8MyVVEyHFaMaj++ybV1JPqIjQ6Px1lHVRiK/+8rbPrOp+Dg98gd5PEPn82BHf8z4dzLwae/8cnJnj60eCyuiunoyURMGRmFESPfgo3paCo2uGDAOFwwRBxNCIQY2HsAZkpH4UqWRgFDZNP8ICXnOsewLChMRWVnqMyAGTekKkpmBiVt/v00bSCGNuWb5LLWELsjhNQ23+IIvsmt1lO3V2PSDk3TBihTg7iUlAs+BJYONRysRxwYHWQUlqljTRta2jawUodc6pzGDtR1zXLdEGJgy+wsg6okhJaVWOPbgClSUJRKaR0rbZN//xZjKpq24VDd4lqYGTi8S2XYIfe1IUZWllvqxmOdYbj3mwwOfm+8iwJd2nJ+PRKpDu6lfPybtNtfyMxglkFREE1kWM2wuZxlYGcp7ZAt8wvYssKS8kyW64ZRE7DR5KGOqbR7UHTzkYCixLYRY9pxI7w2l5WXNvUVqsoi5WZNBfNdMux0c8VpJv87VJKsyNoUqJymjqfnSipXzm33fUoO7B7bBSmTzrj5OZgkAQaXeq+kHRO7qiQ6hFTlUblcNusnjwt5hk/h7Hh3wBCZaS11m4KABbuJmWqOGdeypdqWbqxmBR9W2G8XGTU1LjjmhyXWeZbqOq03gv1//hsL/3p7uskzaS5XLu1j9uH/yA8NHNh1GYHAoHRgC+q6pR15TJFmJBWlpaGhrms8hoFJ+Q/4QCwihXEpT8Q3YNMuxMpKzUodmCkrfJtyWNrGMBxUVEXJsnVEH8GmwMKVBZUrmBmWuXFbKhsm5gZr434aKS+lKMz4KCjmwDKESOPzDgAmda+1OeM334jb1jPyI0ajehzoxJD6j7S+pWmWaaLFN5GqdCw1K0QTWagqYtHSmJbgbDpeKeu0wxUiMVpqn5rCNSFiScm8MUQwLeSE7FTiFdNwyZDKtE1RYnzaQTKH9q8KTCyTfjsFuf094Fb2MxjMs21+MwvDeUozYFDMMFuV+DxZeOAsbUxzgZoQsNaxMONwRGYHLr/e7bjPSzcTyZhAjI5Rk3N5cuBNjPhoIHZTelYH/uloZ+08lOkhlyJyJAUqp7H19lzpPl7kktzDpwp3jrZLY4ylKOK4J8R0cJT6SaR5L86aSUOxVOebkg3NZPZQFzSFmI43UvGFoaoKYrDM2hksmxiUjtFoxCE/YhQPMWpXWG6XqG0kBk9pHJse/T9TN1S644N033akjqvzj9+Ff8HLaI2hLB0uVyv5OtDGkJt2QT1qCT4dUWEjzlg8nuhhpa0pCgOlwXqDJzAYpi6xropUrmDQWEyRjs8K5yDACi3etwwHJcZ4lpsVlhuDiZYYUp+ONrYU1mKwuZV6JMZAWRpCcLRNPnrxHkIqeR4U4Pb+X5ilH2PmttI8/xcw1jDyDU1o09GSt3lmUUs0LaUt8AaMLXExYgqASIlNOR6FoW491qeGgMNhwcAZRiGX8wBtE3HOk6ZUh3G/GWNSYmphC4yNtDHgcrnv8koLrRl3og2DM8ZBymz+nbX5dzYEFvLHi+0vgk0vYGFumJqvFY5haWlDIDYpKC6KdKRm8zpcmXajfG4u51xulBdWB+9l0ZXbQ+NToJd+jklu13QpeCr3npT8HysnTETWpkBFjmu7ea2t6+nPHW2XxjHVu8VMuo/GaMb/MU95LNCd/nQzUKbzYlLCqWNo0/yXuvGEaBliUrVIKnjBOcdg6Jh18xA2E2NkedRwcGWFUVyBx/87g4PfY4k0pA5yKTRpYF0kUh7cS7nnAcLz/x00jtamIyNXFYQm5cBEYzA4jPGTcu4Y8W0ALCaXAtMGSuvyDT9X7jQBE+rcejcFK96t4CqHa1KSbzQtriogpLLnUR2wpUmdcW2FIX2fqnD44MHkGyye1gXq3ObeFDD3nS+z6Tufwi6l0m8L8PDZLF38v9KcfwVm5NPP4lLHXWcsI99S+5qlFmgbWh+ZqQyQqnnaNkIIWNOkKdylS8MSnQXvsc5SulRx08ZAaQwxWiJp3EBVOarKpaDBWApjMN5gfErSDTYwUw4pKGiefyn+22dTLu1jSGQemCMFJxWpDX6YO5snL/o1rLUUrmA4LHPCtsPkXiYurynmiidnzTjXx4Z07ON9GOdqOXvYa95YysJQlasTz4GcdL56kGOMBucmO0GHm84JE5EjKVCRZ9XRd2kM5oiW/WbcuXPS2Co93oeI92BMeqw3OQ8jdPNm0pb8oLTjXAFvwEYoXD4+yuuIuYvuzMBSVhWEBUo8C6TThho4NPUWYZysObNyiMgsK3GFklSZVBQWTJqAa22gsAVtNPmowxDxFEWVborWp2DKB7CW4SAPmIupEsra1KhtXP7qW9ra45ylKlJjtab246OZFISko6KqcLjC0PqaZuQIIVXi1HWgbX0qF7YFxsLCo19m8P/eQU03NCCf+iztw339L4kHVuCiK/A2pvb3uJQPFCPG5muPpRw6CuuJMQcXNh0DlanGFme745KAK3KQkjKAMS15yy3irKMsDLN5lMFybPAhMOOGGGfxbUPhCgKG0lZUbpatswPO/B9v4Pn/9Q8oMRS5g3HaS0ovuKd++U85Y34mVYFZMx6iSQyUhaMi7eJVpaPIJd1dfyDvLdUglR13H+9yr7oKuekeRGsF7V1DvOlNkulAfT05YSKymgIVOSHW+utwPUGM92FqMN3kRtH1Bkkft1NBj00lvNZRRAO26+9iIc9HaVsPxjAzMJMpv1t25FJpmIFx0NIlao5IQcujzzsfNzdH6Qva0GBC2k1wTSSYgI81PnrKoqBtW3xMJbczsxWH6prah9xaviDmAGxYOkoLoU15PYWLOBvxMVAU6SZX5EnXoYnEkG6ypSmoqjyWIJJ2CUwK2mxMOSrep+vmo6E0KYgIPrBl7910t/MuUEl7MWnHZcv37ubgv/tl6pwj5GJqamZKg2savAmEEqz1+eafGqYsew8xVRsVhcPY1IjOGJgphgyrgojnkK/Bu9xcLjLrSmarKh2TxcDMYIgzjsKWVLZi06CkNLPYUEF0lGXB3LBksP0i2vktzHzpjyiXDuv0e+V7qC/691S5u20IMGo8M5XFFY6qSK8VH7ujmBSM+Dyjydk0oyjm3B8gD2xMumnRR3t9p8eksGl6R2WtQP3p5nCJyIQCFTnpjhXExJg+d+RWeO7wGcHauCro6f56TfNRut4vdnwzCCFPCjbpZgHQ7rgcP3829uA+utGE06mOMxhm5razeNG/56fKNCsG59m/coDFlSWasqYowJiW5aambWqiKZgZlFSUFA5GNLRNizGGuSrlc0TSOkpbpAjJpiDFGouPDaSNF2JIiZ5VUVKUlthCHQLB+1QRg6Ftu3LwQDSOUd3S1LmCJ1fK+BbK791PXPreeFrx9I5KJFXL2IN7sY99E7PjRVhjwcEg52xgHcPS5Y6vluAj1hRUgyFzbUugTaXY1jKqR/joqWyFnYPKOgIFNqb29TODCucKFmaGzJZDBm7IwA7YNJijMGUuoU5dXT2kcmWfhkBWuVng0oWvZum8X8M+fh9z9Y8ozjiH0TkvIZh87migco5YwNDBsDTjoNdaS0lKfG3bMD5edNbkIX9dvgmrkr67nZQuWE6fO3q+ydrVPevPCRORCQUq0hvdVviqnJRVf4V2f+GGPIdouifFVFv/qR4wKSnXQP68sRYXAedY/pX/g7n/8iaONjDwqSv+mLIaYJ1l4CzDyjEohsyXZzCwMKwKqtLR+sBys8JivURtRizVh2hDy9zQMjOYpfVNPsKyVCZNA/axxYRIvRJZqmuiSTsbhTW4gq79G4OqYFiUeBcoqkjtDc4UWNftPgUKLG0LxhnKYWrc5k1Mx0lEZv0KJUcGKF1w1iURD5uDVMO5PKMn0uJpRw0xQEVBbNIgQxPTjR9rcOUAzIDGBwKBws1QupLCWIYzJWWZdkjOqLaxUM1SmgG+NQRjclJrOe4HYwwMizwewAfaJkCeZBxNmh8VSCMU5gYF9Xkv42BIvwfn0g6QJ+QE19SgP3WIdTlB1ubdC5t6sExFpqvKiePktTT9+VRGzOS1tEaMsZ58EwUnIsdHgYr0znSQMj3hOe2S+NwTJJWGOucIIdC06fZbYPPNYvKXawghla3CuIrDGEP8mddwyPwnhp9bPTDQz5/N4iv+FH/h/8QMadJwm1vEW+uYGVgKC0WZbpBFCVVVMazm0hC6QZqN01Uk+eg5WB/ikF/GxxF1aFhpRsQYmJkFa6vcAyXtBrS+yRN3C6pYYlqLoaZtW2IdCS4djzXBY01K1GyXW9om4GlZ8YG6sZQ2rW3FzrMp/2yRSQ8SwyRo8UAYbsJ5g7UVzqauuHZYUjDDcDjEkque8s5WAKqipKRixg2Zr2Ypc/ZIGyJVkTruWmNTiXlVjsvOV0YtgUg0qeuxjTHPLeqG+aUJ3odGgaJIuUHdrkZZWAaFowJWmnSs16U9Vc5RVIYQLIVzDMr0vadfV52ukmzauuZghdRbx3sz9bpUvonIiaJARXqnS1w8/C/bENJkGmNSF1wfIkVI/Sy6yqFuvor3MQ2gy4248GnGTPCR6dyB5gW/zsoFr2aw5ytwcB9x/iyac15CtAWD9Ci8DxSOcZ8X42zq92HTPkw7LlN1NNEwMyxzdYnJR1ORwWjI1pD2LnyElVEzvrmtDFrAUrn0vZbbBmNbapZZaZeJRWBoC4YRwkzMu0pdP5JUkuxsYBgChG58QWClDamh2a6XMPud7ZSHnmCyX8TUHpKBhbNZvvgVGOcobMGwqKiYZcgQZyqctXkoocWHQONT7gyAJ+1wVFV1xPTmCNQ+3cHbEHFdpY2zEAKlsylx2aU5R5B2waxzVBhq36bjMAdYm5r05UDTmciwsONJzS4HJCGmWVJV0fX/Of7I4Vhfk0+X0rGZTwnV41EDyjcRedYpUJHemG7tD6v/so0x3aCNMXk7n1xCmm63VZGnDOe8A2MMvk09OYoUV4xLTruclpyekHZlzn0pPqbjgiKPA+ia0WFS0zkfIeCxgCsm04pd7g1jfKAwOUnTpIGEkAIZayzFoEg31TZQVKnpXARMUY1zJEKMuLpiprJUxZnUTZMm75YGax0xBkZtxMRIkXM2Wp/m0Cwut+MuwAArTTtu7b7lF25k53//3wGDzSFKusrpscsvezc874VY01XCpCOTqnT5KCbmoAhcjJRlPo7LLdgKZ/M8I6iKVNk0alJLfutDCupi+vmCTztcNlcIEdKuR7fDEaMZr2GmdDQ+5p0jm/NMcqVYMAwrS8RQN2HciLAoLKVjvJPyk1hrDlZ6DaYk3bIw492h6Z0UBSkizz4FKtIr003j0k6JHQcpwLj9PhyZV3A4k5+nym3QU7fzlJTbJUmWzk5KSfOsHAOEbnqMYdymvvYBG6Es04yiELsjKlKFjLHMDlOFR+MjbR3y7k/M3zfkhncx99ZIyQ6jNuAiBNKORVWm7ihl4XDO0fpI6cBYBzHgijTIMd38I6MmsNK0DIPN7fDTzXwYAq0PLI1a2v/htRxcmGXLf7tl9THXwtkcuvI9lD/7mpzInKZfl4Ud5wHZGDEmrvqdWJOCl1RGnqK/Ms9uGgctxqf5Q4ZxdBg8hBjwIV1X7yMuf834NWANbZsqZ2YGBUUbch6LIWLG+UoxRiqTSqDLcV+eCCb9TlPcNClVP7wD7NGSuo82ByvkaqGisONdvi640rwekRNHgYr0Stc0DvKN0Ifx56aDlOkbjrUm71qkG+z4c86N/9otbB5s1/jxADtnUw4JJt34yKWi6S93cDkXw5AGAQ6cY1jZvLZJU6+ucR1MdlcsEVtMdm8CKRejJG3vxBhSc7XcnbVL0MTE8eDBELvgrBtfkOqG0hGMYVLZFIjRMCgdy7WnDpEKk7reFjmnw1rMz7yGpRf9Bvax+4gH9mE2bac+O1XLzJjUebhtc6mxm1zn7ndijJl0a3WGQeXGibchpKOXSTCQhh2OmrTn4vNuirMGG2HFB5wxVGW6HiGEnFA7udN3R2PdLkrrY14POcjLO2UhjpuyTec0TVfrBLo+KJPX2nQAM22tDsshBNp2EvQc+brVvB6RE0WBivRO164fJjcLH1ZXYXS5K91f1iGkac3d16fHdKWikG6c4GyRB+tNSky7HYhu58bnI6ZBlXYw0tOknRLnbK5EiuN1pO656Z3uedNNOwVb6QYbaEM6EioLS+3JuRVpoB25U2uMButs3sUwxACFSzkXzkYKZ4lMl16nXRNDTMMMcyfcrmw7xoC1Rer4moYo4Xe9dNxnhJxDM2p8asdvYppAbSe9RLqbs7MGa9LuUjc1GAzGRHwX7DFZV7oOYHN34ZCDioChMKkyB9LYhDrnARXOpNyXXB3VNCEFapg0lbmw4+tu81FQt5sx/bqYfi1BpGnT66gLdrvXTDSru8h2X3N4h+XueaeD5cNfs2qFL3JiKFCR3ppu9tbdLGBSGtrtXrS5bfmROQWTcuVugm2xRrfR6a91Nkw6iAJMJcVOOot2uz6TbqVdN1LfpqAk5h2FMh8TeJ9yNXzeoXE25dOkJFKLDzBq0g3fhXQU4kxqfW/Ha5wcObR+8nNba3MHWUNlU95KTr+h9SbtxNicWAo5kDFEmwIKY9Jk6HTkAW2IlDGk4YCH3dC7a/V0N3Yf0seHhR0f16SK5kiwkBJ00jFY4VLTutb7VL0VY5qp0/2srafxgdKlYyhyQnUXj6Qk5+5aHBlErH0s2JUbr31kc3jPk8lR0toUpIicOApUpLemjxxCDHmyslnVzbNLDIXVbc6nExwPv4mslePSsdaumvw8/ThLumF3zx3jZBcGJq39W5+7soyDHwPkY5HGY61ltoIVkwKDdBO3zAxS6WvhTG49b8eDHCffs8ubAUzqutvtdsTIeCfKh3Qk0/2ILk+gBjBd4zwM0eU5S6bbIYm4GMf5N4ff0Lv1HKuZWbqpr87hmMQPhqZNuzTOkPNJYv4ZLKN8NFeayQBAHyKjOtDk9N+qXF1d0+2arPU77QKt7hoe7umObKa/R+TopctdUKxjH5FnnwIV6bXuBmiKyQyV6cTIGFNeiovkqo90N5oOZrob1fEOX1xzLXnnIOYqmDYn5na5MT5XHaX3u1LZSd5Nd1RhjUmNzKZ2h4Dxsc2kaV13vJR2EkLsSmJTQm2ZdyzKkMYDNG2qxOm+1kTDbJWrd0LK7bAWmjpgXQpQpoMhSBUtIcQUBNlucnWkbVPDN3uM6zjZmUrB2uGzbcYJuaRrhrGT3RCTiq6jZ7zzlX6OSCwZT9Q+PKiYDkTXqtZ5ut/zendD1spdUf8UkRNPgYqcEmyXPzF1vJA+PrlxtmaqVNSuHiD3bN1EJjsHFhcmZwFdrkpRWNo2jBNdp/9aN0TK0hHD1CyYHImMd23yursGdt0xR4yT3RSXh+alUuT8s1lD8BHnSHdT0o6PcemmX+b5Pz7ny4wbgRCxzuak2DzPpgsq8lFW1ydkzUnCx7hOJjd0O+L3lWqTx8mz1nSVMwEfLKZcnVTblaR31/nwYKTLCUrPsfaOx3Sy77TjObJZ64hr/DMdZUdGRJ45BSpyyni6WSldImkI3VyWE3cTSWWslsKtvjHGmGYLdaXI6WNx3Ait270oppJCyTsqXe5HzFVB40Z3ca0k0akjoXQ+kn5WWHUDNXmtxloqA96mwYUpWMnfMz1j2rmYShztdom6HR1r1h+kdPkuLl//aS1m1TVbfbwScgC1+ousgWDIgVaXyHzkbsbhOx6HP8fhjvfI5ulegyLy7FOgIqeco90YNvImMn2zLYvcIC2Xytq8c2LpbuKrZxSFkBqvTR+prOoREw4PhqbzZyDkxne2O+4xXVXQJOk0hNR8rciVMi73hlmVfOpj3g1aPS8JcuLuOgMVOPYxSZGb5XVBxvTPnPdhjtj96AKqFOCZowaia+14FK6rDoPpBOhncmSj4ETk5FGgIs85JzM4Was5WJdv0raRIjdm6xJu17oxHp7QudbzHn7UsTrYyUnHdhIAwOqk4+7GPv347rm6p465xX+MjHdZJjss5P4v68sBOdYxiQO8YVwKPhmRkI7EYuy+1+F5IIYq95CZ/j5HfN81gtXVwy11ZCNyKlGgIvIMrLVzAIz/+jdM8kvScL21b66H50pMP+9apdmTstlJtYs1qRHb9PNOP+bw73lkIJEbsNEdYa3OAzreCtyj73ClY6bUxC6OW99baxhWLgcVZnxNu+CocMeXI7O+tYhI3ylQEXkGjrZz0A2og6mckaP89X6sQOJYpdnpa1cnkq7VR+RoeRiHlxTD1GTpuHoH5pn0CTlaBVUKPOKqYGtVIm/XuCQn0z4bux8KTkROPQpURJ6hp/tr3RiDO0YPjqMFGOspzT5WIul68zC6AGF6jUdWx5yYPiHTeTCH/9xdNVD3MRE5PSlQEXmWHOtmutYRUSrHneyodLkgh+8cHLs0+9iJpMeTh9G3PiEKTkQEFKiInBSHHxGlIGWSezHdd+Wo82eeJsfimeZhqE+IiPSRAhWRk2Q6kOjSL7r8ku7zXQXQWvNnuses5/s8G2t8Np5PROSZUqAisgEOb+A27fBy5Y2g4ERE+sI+/UNE5EQ4VuM6ERFJFKiIbJCjlfw+k1JgEZHnGgUqIidZ10b/aPHIiSoFFhE5FSlHRWQD9K0UWESkrxSoiGwAlQKLiKyPAhWRDaJSYBGRp6dARWSDKTgRETk6JdOKiIhIbylQERERkd5SoCIiIiK9pUBFREREekuBioiIiPSWAhURERHpLQUqIiIi0lsKVERERKS3Tkig8t3vfpfrrruO888/n5mZGS688EJuueUW6rpe9bgHHniAl7/85QyHQ3bu3Mltt912IpYjIiIip6gT0pn2oYceIoTAHXfcwUUXXcSDDz7I9ddfz9LSEu973/sAWFxc5JWvfCVXX301H/7wh/nmN7/Jm970Js444wze/OY3n4hliYiIyCnGxHi0YfPPrve+97186EMf4t/+7d8A+NCHPsTNN9/Mvn37qKoKgBtvvJHPfOYzPPTQQ+t+3sXFRTZv3sz+/fvZtGnTCVm7iIiIPLvWe/8+aTkq+/fvZ+vWreP377vvPl7xileMgxSAa665hocffpgf//jHR32e0WjE4uLiqjcRERF5bjopgcojjzzC7bffzlve8pbxx/bt28dZZ5216nHd+/v27Tvqc916661s3rx5/LZz584Ts2gRERHZcMcVqNx4440YY475dvixzZ49e3jVq17F61//eq6//vpnvOCbbrqJ/fv3j98ee+yxZ/ycIiIi0k/HlUz7zne+kze+8Y3HfMwFF1ww/v979+7lqquu4oorruAjH/nIqsdt376dJ554YtXHuve3b99+1OcfDAYMBoPjWbaIiIicoo4rUNm2bRvbtm1b12P37NnDVVddxSWXXMKdd96Jtas3by6//HJuvvlmmqahLEsA7r33Xi6++GK2bNlyPMsSERGR56gTkqOyZ88errzySnbt2sX73vc+nnzySfbt27cq9+QNb3gDVVVx3XXX8a1vfYtPfvKTfOADH+CGG244EUsSERGRU9AJ6aNy77338sgjj/DII4+wY8eOVZ/rqqE3b97MPffcw+7du7nkkks488wzefe7360eKiIiIjJ20vqonCjqoyIiInLq6V0fFREREZHjpUBFREREekuBioiIiPSWAhURERHpLQUqIiIi0lsKVERERKS3FKiIiIhIbylQERERkd5SoCIiIiK9pUBFREREekuBioiIiPSWAhURERHpLQUqIiIi0lsKVERERKS3FKiIiIhIbylQERERkd5SoCIiIiK9pUBFREREekuBioiIiPSWAhURERHpLQUqIiIi0lsKVERERKS3FKiIiIhIbylQERERkd5SoCIiIiK9pUBFREREekuBioiIiPSWAhURERHpLQUqIiIi0lsKVERERKS3FKiIiIhIbylQERERkd5SoCIiIiK9pUBFREREekuBioiIiPSWAhURERHpLQUqIiIi0lsKVERERKS3FKiIiIhIbylQERERkd5SoCIiIiK9pUBFREREekuBioiIiPSWAhURERHpLQUqIiIi0lsKVERERKS3FKiIiIhIbylQERERkd5SoCIiIiK9pUBFREREekuBioiIiPSWAhURERHpLQUqIiIi0lsKVERERKS3FKiIiIhIbylQERERkd5SoCIiIiK9pUBFREREekuBioiIiPSWAhURERHpLQUqIiIi0lsKVERERKS3FKiIiIhIb53wQGU0GvHzP//zGGO4//77V33ugQce4OUvfznD4ZCdO3dy2223nejliIiIyCnkhAcqf/AHf8A555xzxMcXFxd55StfybnnnsvXvvY13vve9/LHf/zHfOQjHznRSxIREZFTRHEin/yzn/0s99xzD5/+9Kf57Gc/u+pzH/vYx6jrmr/5m7+hqipe+MIXcv/99/MXf/EXvPnNbz6RyxIREZFTxAnbUXniiSe4/vrr+bu/+ztmZ2eP+Px9993HK17xCqqqGn/smmuu4eGHH+bHP/7xUZ93NBqxuLi46k1ERESem05IoBJj5I1vfCNvfetbufTSS9d8zL59+zjrrLNWfax7f9++fUd97ltvvZXNmzeP33bu3PnsLVxERER65bgClRtvvBFjzDHfHnroIW6//XYOHDjATTfd9Kwv+KabbmL//v3jt8cee+xZ/x4iIiLSD8eVo/LOd76TN77xjcd8zAUXXMA//uM/ct999zEYDFZ97tJLL+W3fuu3+Nu//Vu2b9/OE088serz3fvbt28/6vMPBoMjnldERESem44rUNm2bRvbtm172sf91V/9Fe95z3vG7+/du5drrrmGT37yk7zkJS8B4PLLL+fmm2+maRrKsgTg3nvv5eKLL2bLli3HsywRERF5jjohVT+7du1a9f78/DwAF154ITt27ADgDW94A3/yJ3/Cddddx7ve9S4efPBBPvCBD/D+97//RCxJRERETkEntDz5WDZv3sw999zD7t27ueSSSzjzzDN597vfrdJkERERGTMxxrjRi3gmFhcX2bx5M/v372fTpk0bvRwRERFZh/XevzXrR0RERHpLgYqIiIj0lgIVERER6S0FKiIiItJbClRERESktxSoiIiISG8pUBEREZHeUqAiIiIivaVARURERHpLgYqIiIj0lgIVERER6S0FKiIiItJbClRERESktxSoiIiISG8pUBEREZHeUqAiIiIivaVARURERHpLgYqIiIj0lgIVERER6S0FKiIiItJbClRERESktxSoiIiISG8pUBEREZHeUqAiIiIivaVARURERHpLgYqIiIj0lgIVERER6S0FKiIiItJbClRERESkt4qNXsAzFWMEYHFxcYNXIiIiIuvV3be7+/jRnPKByoEDBwDYuXPnBq9EREREjteBAwfYvHnzUT9v4tOFMj0XQmDv3r0sLCxgjHnWnndxcZGdO3fy2GOPsWnTpmfteZ+rdL3WT9dq/XSt1k/Xav10rdbvRF6rGCMHDhzgnHPOwdqjZ6Kc8jsq1lp27Nhxwp5/06ZNeiEfB12v9dO1Wj9dq/XTtVo/Xav1O1HX6lg7KR0l04qIiEhvKVARERGR3lKgchSDwYBbbrmFwWCw0Us5Jeh6rZ+u1frpWq2frtX66VqtXx+u1SmfTCsiIiLPXdpRERERkd5SoCIiIiK9pUBFREREekuBioiIiPSWApV1eu1rX8uuXbsYDoecffbZ/PZv/zZ79+7d6GX1zne/+12uu+46zj//fGZmZrjwwgu55ZZbqOt6o5fWS3/2Z3/GFVdcwezsLGecccZGL6dXPvjBD3LeeecxHA55yUtewj/90z9t9JJ66Utf+hKvec1rOOecczDG8JnPfGajl9Rbt956K7/4i7/IwsICP/VTP8XrXvc6Hn744Y1eVi996EMf4ud+7ufGjd4uv/xyPvvZz27IWhSorNNVV13Fpz71KR5++GE+/elP8+1vf5vf/M3f3Ohl9c5DDz1ECIE77riDb33rW7z//e/nwx/+MH/4h3+40Uvrpbquef3rX8/b3va2jV5Kr3zyk5/khhtu4JZbbuHrX/86L37xi7nmmmv4/ve/v9FL652lpSVe/OIX88EPfnCjl9J7X/ziF9m9ezdf+cpXuPfee2mahle+8pUsLS1t9NJ6Z8eOHfz5n/85X/va1/iXf/kXfuVXfoXf+I3f4Fvf+tbJX0yUn8jdd98djTGxruuNXkrv3XbbbfH888/f6GX02p133hk3b9680cvojcsuuyzu3r17/L73Pp5zzjnx1ltv3cBV9R8Q77rrro1exinj+9//fgTiF7/4xY1eyilhy5Yt8a//+q9P+vfVjspP4Ec/+hEf+9jHuOKKKyjLcqOX03v79+9n69atG70MOUXUdc3XvvY1rr766vHHrLVcffXV3HfffRu4Mnmu2b9/P4D++/Q0vPd84hOfYGlpicsvv/ykf38FKsfhXe96F3Nzczzvec/j0Ucf5e67797oJfXeI488wu23385b3vKWjV6KnCJ+8IMf4L3nrLPOWvXxs846i3379m3QquS5JoTAO97xDl760pfyohe9aKOX00vf/OY3mZ+fZzAY8Na3vpW77rqLn/3Znz3p6zitA5Ubb7wRY8wx3x566KHx43//93+fb3zjG9xzzz045/id3/kd4mnS2Pd4rxXAnj17eNWrXsXrX/96rr/++g1a+cn3k1wrETm5du/ezYMPPsgnPvGJjV5Kb1188cXcf//9fPWrX+Vtb3sb1157Lf/6r/960tdxWrfQf/LJJ/nhD394zMdccMEFVFV1xMcff/xxdu7cyZe//OUN2Qo72Y73Wu3du5crr7ySX/qlX+KjH/0o1p4+MfFP8rr66Ec/yjve8Q6eeuqpE7y6/qvrmtnZWf7+7/+e173udeOPX3vttTz11FPayTwGYwx33XXXqusmR3r729/O3XffzZe+9CXOP//8jV7OKePqq6/mwgsv5I477jip37c4qd+tZ7Zt28a2bdt+oq8NIQAwGo2ezSX11vFcqz179nDVVVdxySWXcOedd55WQQo8s9eVQFVVXHLJJXzuc58b33BDCHzuc5/j7W9/+8YuTk5pMUZ+7/d+j7vuuosvfOELClKOUwhhQ+55p3Wgsl5f/epX+ed//mde9rKXsWXLFr797W/zR3/0R1x44YWnxW7K8dizZw9XXnkl5557Lu973/t48sknx5/bvn37Bq6snx599FF+9KMf8eijj+K95/777wfgoosuYn5+fmMXt4FuuOEGrr32Wi699FIuu+wy/vIv/5KlpSV+93d/d6OX1jsHDx7kkUceGb//ne98h/vvv5+tW7eya9euDVxZ/+zevZuPf/zj3H333SwsLIxznjZv3szMzMwGr65fbrrpJl796leza9cuDhw4wMc//nG+8IUv8A//8A8nfzEnvc7oFPTAAw/Eq666Km7dujUOBoN43nnnxbe+9a3x8ccf3+il9c6dd94ZgTXf5EjXXnvtmtfq85///EYvbcPdfvvtcdeuXbGqqnjZZZfFr3zlKxu9pF76/Oc/v+Zr6Nprr93opfXO0f7bdOedd2700nrnTW96Uzz33HNjVVVx27Zt8Vd/9VfjPffcsyFrOa1zVERERKTfTq/kARERETmlKFARERGR3lKgIiIiIr2lQEVERER6S4GKiIiI9JYCFREREektBSoiIiLSWwpUREREpLcUqIiIiEhvKVARERGR3lKgIiIiIr2lQEVERER66/8HLd+gX4SyqKYAAAAASUVORK5CYII=\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "train_error 4.3374499150368075 error on new data 3.250460263897552\n",
            "------------------------\n",
            "degree 5\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "train_error 4.335721232903679 error on new data 3.2077488521268025\n",
            "------------------------\n",
            "degree 6\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "train_error 4.332238839792395 error on new data 3.125819971919441\n",
            "------------------------\n",
            "degree 7\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "train_error 4.318914542937247 error on new data 3.224889702614603\n",
            "------------------------\n",
            "degree 8\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "train_error 4.315162881234369 error on new data 3.3164693889785832\n",
            "------------------------\n",
            "degree 9\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "train_error 4.314726362399504 error on new data 3.31170765560627\n",
            "------------------------\n"
          ]
        }
      ],
      "source": [
        "\"\"\"Now let's do the same, but for a big train set.\"\"\"\n",
        "train_errors = []\n",
        "new_data_errors = []\n",
        "Xbig, Ybig = gen_data(1000)\n",
        "\n",
        "for degree in range(1, 10):\n",
        "    print(\"degree\", degree)\n",
        "    poly_features = PolynomialFeatures(degree, include_bias=False)\n",
        "\n",
        "    X_poly = poly_features.fit_transform(Xbig)\n",
        "\n",
        "    clf = LinearRegression()\n",
        "    clf.fit(X_poly, Ybig)\n",
        "\n",
        "    X_new = np.expand_dims(np.linspace(3, -3, 1000), 1)\n",
        "\n",
        "    new_predictions = clf.predict(poly_features.transform(X_new))\n",
        "\n",
        "    plt.scatter(Xbig, Ybig, label=\"train\", alpha=0.01)\n",
        "    plt.scatter(X2, Y2, label=\"new data\")\n",
        "    plt.scatter(X_new, new_predictions, alpha=0.01, label=\"new predictions\")\n",
        "    plt.legend()\n",
        "    plt.ylim(-50, 50)\n",
        "    plt.show()\n",
        "\n",
        "    train_error = np.mean((clf.predict(X_poly) - Ybig)**2)\n",
        "    new_data_error = np.mean((clf.predict(poly_features.transform(X2)) - Y2)**2)\n",
        "    print(\"train_error\", train_error, \"error on new data\", new_data_error)\n",
        "    print(\"------------------------\")\n",
        "    train_errors.append(train_error)\n",
        "    new_data_errors.append(new_data_error)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 14,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "id": "LW2pMBJofoTP",
        "outputId": "84ab204b-1230-4daa-a0ac-d306f8d93b1d"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "degree 1\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "train_error on full data 31.160541280682622 error on new data 120.85174545574716 cross val error 40.68388723650084\n",
            "------------------------\n",
            "degree 2\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "train_error on full data 1.6049646574666139 error on new data 6.998912346721187 cross val error 3.0309118793075958\n",
            "------------------------\n",
            "degree 3\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "train_error on full data 1.3296226062014094 error on new data 7.686069547082964 cross val error 3.9181194735723834\n",
            "------------------------\n",
            "degree 4\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "train_error on full data 1.2849155493375828 error on new data 8.813691610727206 cross val error 7.519194574463211\n",
            "------------------------\n",
            "degree 5\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "train_error on full data 1.1690303664990376 error on new data 60.51200963994713 cross val error 23.522034287432437\n",
            "------------------------\n",
            "degree 6\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "train_error on full data 0.9044230979555736 error on new data 1674.8189031675709 cross val error 27.992479900445687\n",
            "------------------------\n",
            "degree 7\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "train_error on full data 0.6716164756462294 error on new data 4571.5200026184075 cross val error 130.81571048748555\n",
            "------------------------\n",
            "degree 8\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "train_error on full data 0.45112930365876913 error on new data 49069.704852614035 cross val error 50.78098588016824\n",
            "------------------------\n",
            "degree 9\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "train_error on full data 1.4569581202363484e-23 error on new data 1384421.9621934197 cross val error 1363.2790365560354\n",
            "------------------------\n"
          ]
        }
      ],
      "source": [
        "\"\"\"\n",
        "One more problem.\n",
        "What if we have very small dataset, e.g. 100 points.\n",
        "After split we get:\n",
        " - train 80 samples\n",
        " - valid 10 samples\n",
        " - test 10 samples\n",
        "\n",
        "This is bad.\n",
        "\n",
        "This can be saved by crossvalidation, do train/test and instead of valid do crossvalidation as in\n",
        "https://scikit-learn.org/stable/modules/cross_validation.html\n",
        "Split data into K parts. Train K-times always evaluate on different part.\n",
        "\"\"\"\n",
        "\n",
        "\"\"\"Now let's do the same, but also check error on new data, and also cross val score\"\"\"\n",
        "from sklearn.model_selection import cross_val_score\n",
        "\n",
        "train_errors = []\n",
        "new_data_errors = []\n",
        "\n",
        "for degree in range(1, 10):\n",
        "    print(\"degree\", degree)\n",
        "    poly_features = PolynomialFeatures(degree, include_bias=False)\n",
        "\n",
        "    X_poly = poly_features.fit_transform(X)\n",
        "\n",
        "    clf = LinearRegression()\n",
        "    #clf.fit(X_poly, Y)\n",
        "    score = cross_val_score(clf, X_poly, Y, cv=5, scoring=\"neg_mean_squared_error\")\n",
        "\n",
        "    clf.fit(X_poly, Y)\n",
        "    X_new = np.expand_dims(np.linspace(3, -3, 1000), 1)\n",
        "\n",
        "    new_predictions = clf.predict(poly_features.transform(X_new))\n",
        "\n",
        "    plt.scatter(X, Y, label=\"train\")\n",
        "    plt.scatter(X2, Y2, label=\"new data\")\n",
        "    plt.scatter(X_new, new_predictions, alpha=0.1, label=\"new predictions\")\n",
        "    plt.legend()\n",
        "    plt.ylim(-50, 50)\n",
        "    plt.show()\n",
        "\n",
        "    train_error = np.mean((clf.predict(X_poly) - Y)**2)\n",
        "    new_data_error = np.mean((clf.predict(poly_features.transform(X2)) - Y2)**2)\n",
        "    print(\"train_error on full data\", train_error, \"error on new data\", new_data_error, \"cross val error\", -np.mean(score))\n",
        "    print(\"------------------------\")\n",
        "    train_errors.append(train_error)\n",
        "    new_data_errors.append(new_data_error)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 15,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "id": "idOLxbeifoTQ",
        "outputId": "db10f984-c09d-4039-9008-38dadb32c0e1"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "degree 1\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "degree 2\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "degree 4\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "degree 9\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ],
      "source": [
        "\"\"\"\n",
        "Test error can be decompsoded into bias and variance:\n",
        "Bias - what model cannot predict (e.g. linear model on quadratic data)\n",
        "Variance - if I repeat training on new data, how different model I will get\n",
        "\n",
        "Small degree - high bias, low variance\n",
        "High degree - low bias, high variance\n",
        "\"\"\"\n",
        "\n",
        "\"\"\"Lets train 10 models on different data\"\"\"\n",
        "\"\"\"Output: predicted values for each model\"\"\"\n",
        "\n",
        "for degree in [1, 2, 4, 9]:\n",
        "    print(\"degree\", degree)\n",
        "    X_new = np.expand_dims(np.linspace(3, -3, 1000), 1)\n",
        "    for _ in range(10):\n",
        "        X, Y = gen_data(10)\n",
        "        poly_features = PolynomialFeatures(degree, include_bias=False)\n",
        "\n",
        "        X_poly = poly_features.fit_transform(X)\n",
        "\n",
        "        clf = LinearRegression()\n",
        "        clf.fit(X_poly, Y)\n",
        "\n",
        "        new_predictions = clf.predict(poly_features.transform(X_new))\n",
        "\n",
        "        #plt.scatter(X, Y, label=\"train\")\n",
        "        plt.scatter(X_new, new_predictions, alpha=0.03)\n",
        "\n",
        "    plt.ylim(-50, 50)\n",
        "    plt.show()"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "mV7oMreafoTQ"
      },
      "outputs": [],
      "source": []
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "TnXgBouHfoTR"
      },
      "outputs": [],
      "source": []
    }
  ],
  "metadata": {
    "colab": {
      "provenance": []
    },
    "kernelspec": {
      "display_name": "Python 3 (ipykernel)",
      "language": "python",
      "name": "python3"
    },
    "language_info": {
      "codemirror_mode": {
        "name": "ipython",
        "version": 3
      },
      "file_extension": ".py",
      "mimetype": "text/x-python",
      "name": "python",
      "nbconvert_exporter": "python",
      "pygments_lexer": "ipython3",
      "version": "3.12.4"
    }
  },
  "nbformat": 4,
  "nbformat_minor": 0
}