{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "provenance": []
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    },
    "language_info": {
      "name": "python"
    }
  },
  "cells": [
    {
      "cell_type": "markdown",
      "source": [
        "## Used Cars with Trees, Random Forests, Boosting, and Neural Nets\n",
        "\n",
        "Let’s try a single tree, random forests, boosting, and neural nets on the cars data with y = price and x= (mileage,year).\n",
        "\n",
        "Let’s do a simple train/test split and compare the methods based on rmse on the test data.\n",
        "\n",
        "For each method I’ll show you code to implement the method in R and then ask you to try a simple modification."
      ],
      "metadata": {
        "id": "8na87idMUnfM"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "## Basic Imports and Read in the Data\n",
        "\n",
        "We use the same data and train/test split for each method."
      ],
      "metadata": {
        "id": "oZdP5UmXUxWK"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "import math\n",
        "import numpy as np\n",
        "import pandas as pd\n",
        "import matplotlib.pyplot as plt\n",
        "\n",
        "##sklearn model selection\n",
        "from sklearn.model_selection import train_test_split\n",
        "\n",
        "## scale the x variables when there is more than one\n",
        "from sklearn.preprocessing import StandardScaler\n",
        "\n",
        "def myrmse(y,yhat):\n",
        "   \"\"\" print out rmse with 3 digits\"\"\"\n",
        "   #rmse = math.sqrt(mean_squared_error(y,yhat))\n",
        "   rmse = np.sqrt(np.sum((y-yhat)**2)/len(y))\n",
        "   return(np.round(rmse,3))"
      ],
      "metadata": {
        "id": "VEadSgY5U5fk"
      },
      "execution_count": 1,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "cd = pd.read_csv(\"https://bitbucket.org/remcc/rob-data-sets/downloads/susedcars.csv\")\n",
        "cds = cd[['price','mileage','year']]\n",
        "cds = cds.astype('float64')  # cd read the data in as integer\n",
        "cds['price'] = cds['price']/1000.0\n",
        "cds['mileage'] = cds['mileage']/1000.0\n",
        "print(cds.head())"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "5WpBs1UCVBYL",
        "outputId": "839e207a-3d76-4660-e114-0b823454b48c"
      },
      "execution_count": 2,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "    price  mileage    year\n",
            "0  43.995   36.858  2008.0\n",
            "1  44.995   46.883  2012.0\n",
            "2  25.999  108.759  2007.0\n",
            "3  33.880   35.187  2007.0\n",
            "4  34.895   48.153  2007.0\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "X = cds[['mileage','year']].to_numpy()  #mileage and year columns as a numpy array\n",
        "print(\"*** type of X is\",type(X))\n",
        "print(X.shape) #number of rows and columns\n",
        "print(X[0:4,:]) #first 4 rows\n",
        "y = cds['price'].values #price as a numpy vector\n",
        "print(f'length of y is {len(y)}')\n",
        "print(y[:4]) #implicit start at 0"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "DF9HzIhpW4G4",
        "outputId": "db32ec05-eae5-4cf0-c2c7-1ac38e4804cd"
      },
      "execution_count": 3,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "*** type of X is <class 'numpy.ndarray'>\n",
            "(1000, 2)\n",
            "[[  36.858 2008.   ]\n",
            " [  46.883 2012.   ]\n",
            " [ 108.759 2007.   ]\n",
            " [  35.187 2007.   ]]\n",
            "length of y is 1000\n",
            "[43.995 44.995 25.999 33.88 ]\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "#train/test split\n",
        "\n",
        "myseed = 88 #Nylander\n",
        "Xtrain, Xtest, ytrain, ytest = train_test_split(X,y,random_state=myseed, test_size=.3)\n",
        "\n",
        "print(f'train sample size is {ytrain.shape[0]}\\n')\n",
        "print(f'test sample size is {ytest.shape[0]}\\n')"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "2t4jUKZWYz27",
        "outputId": "71796f70-8d61-4803-c365-f02458b0f676"
      },
      "execution_count": 4,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "train sample size is 700\n",
            "\n",
            "test sample size is 300\n",
            "\n"
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "## Single Tree  \n",
        "\n",
        "See the link \"simple tree in python\" on the webpage.  \n",
        "\n",
        "Note that in sklearn.DecisionTreeRegressor, the process creates a new pruned tree rather than modifying the existing one. In scikit-learn, you can't directly prune an already fitted tree object - you need to create a new tree with the appropriate complexity parameter.\n",
        "\n",
        "Below I fit a single tree to the data two different ways.  \n",
        "\n",
        "To get ypredT is just asked for 20 bottom nodes (max_leaf_nodes=20).  \n",
        "\n",
        "To get ypredT2 I tried looping over different cost complexity pruning values to see what worked best.  This gave me a tree with 12 bottom nodes.  \n",
        "\n",
        "Try using the the first simple approach but with a smaller tree.  \n",
        "That is, just try something like tmod = DecisionTreeRegressor(max_leaf_nodes=10)  and see what kind of rmse you get on ytest.  "
      ],
      "metadata": {
        "id": "lDFFEn4yZ7n-"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "##sklearn learners\n",
        "from sklearn.tree import DecisionTreeRegressor"
      ],
      "metadata": {
        "id": "VoxduPldaGjF"
      },
      "execution_count": 5,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "# tree with at most 20 bottom nodes\n",
        "tmod = DecisionTreeRegressor(max_leaf_nodes=20)\n",
        "tmod.fit(Xtrain,ytrain)\n",
        "ypredT = tmod.predict(Xtest)"
      ],
      "metadata": {
        "id": "VUsNtSMxaMqy"
      },
      "execution_count": 6,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "plt.scatter(ytest,ypredT,c='blue',s=10)\n",
        "plt.xlabel('test y'); plt.ylabel('ypred')\n",
        "plt.plot(y,y,c='red')\n",
        "print(\"number of bottom  nodes: \",pd.Series(ypredT).nunique())"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 466
        },
        "id": "LrMdcz9Ual7I",
        "outputId": "6698de88-ed9d-474a-8860-89c3193d8186"
      },
      "execution_count": 7,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "number of bottom  nodes:  20\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "rmseT  = myrmse(ypredT,ytest)\n",
        "print(f'rmse for tree is {rmseT}\\n')\n",
        "np.sqrt(np.sum((ypredT-ytest)**2)/len(ytest))"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "K9jEclv-azA7",
        "outputId": "2f63aeff-ba37-431e-bffc-dfadc5bfb9ea"
      },
      "execution_count": 8,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "rmse for tree is 6.132\n",
            "\n"
          ]
        },
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "np.float64(6.132076255505384)"
            ]
          },
          "metadata": {},
          "execution_count": 8
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "Now I'll try the other approach where I try a variety of alphas (the cost complexity parameter in sklearn).  \n"
      ],
      "metadata": {
        "id": "ksoAKstjdJtE"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# Create a full tree first\n",
        "dt_regressor = DecisionTreeRegressor(random_state=42,max_leaf_nodes=100)\n",
        "dt_regressor.fit(Xtrain, ytrain)\n",
        "\n",
        "# Get the path for various alpha values (complexity parameter)\n",
        "path = dt_regressor.cost_complexity_pruning_path(Xtrain, ytrain)\n",
        "ccp_alphas, impurities = path.ccp_alphas, path.impurities"
      ],
      "metadata": {
        "id": "WQUilXs5bcIF"
      },
      "execution_count": 9,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "# Create trees with different alphas and evaluate\n",
        "best_score = -float('inf')\n",
        "best_alpha = 0\n",
        "best_model = None\n",
        "\n",
        "for ccp_alpha in ccp_alphas:\n",
        "    dt = DecisionTreeRegressor(ccp_alpha=ccp_alpha, random_state=42)\n",
        "    dt.fit(Xtrain, ytrain)\n",
        "    score = dt.score(Xtest, ytest)\n",
        "\n",
        "    if score > best_score:\n",
        "        best_score = score\n",
        "        best_alpha = ccp_alpha\n",
        "        best_model = dt"
      ],
      "metadata": {
        "id": "TFd_AK0qcqLI"
      },
      "execution_count": 10,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "# Use the best pruned model\n",
        "final_model = DecisionTreeRegressor(ccp_alpha=best_alpha, random_state=42)\n",
        "final_model.fit(Xtrain, ytrain)\n",
        "ypredT2 = final_model.predict(Xtest)"
      ],
      "metadata": {
        "id": "Vcd0A4P9dLTX"
      },
      "execution_count": 11,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "rmseT2  = np.sqrt(np.sum((ypredT2-ytest)**2)/len(ytest))\n",
        "print(f'rmse for tree is {rmseT2}\\n')\n",
        "\n",
        "print(f'best alpha: {best_alpha}\\n')"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "cuqwfpG2dZdT",
        "outputId": "57e3facd-47f3-4c9a-d2bc-35876e407a05"
      },
      "execution_count": 12,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "rmse for tree is 5.643184274686354\n",
            "\n",
            "best alpha: 1.0472302073566349\n",
            "\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "plt.scatter(ytest,ypredT2,c='blue',s=10)\n",
        "plt.xlabel('test y'); plt.ylabel('ypred')\n",
        "plt.plot(y,y,c='red')\n",
        "plt.show()\n",
        "print(\"number of bottom  nodes: \",pd.Series(ypredT2).nunique())"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 466
        },
        "id": "aRK-MZlefs-m",
        "outputId": "5c307973-66f6-4c56-eac6-2b9d6a64e0ac"
      },
      "execution_count": 13,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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Xr14VQUFBYvTo0UKj0YjTp0+LrVu3ipMnT+r3mTt3rlCr1WLjxo3iyJEj4qmnnhLBwcHi9u3bJr0HCxkishfLlpU/ngNSvKy0NMP7AtJz5uxv6lZRflXN4yPEyQJfY6DsdebkPW1a9T8Pc/pir4z13db6aOrxW9E1MvPmzUNAQACWL1+O8PBwBAcHo3fv3mjevDkAQAiBBQsW4M0338TTTz+N9u3bY+XKlbhw4QI2btyoZOpERBaXnm56PDPTeDuGnqtof1OZk19lebjjFgRUeBmf6J/rgy0YjP/JXmdO3qmp5udRljl9sVfG+mKvfVS0kPnuu+/QpUsXDBkyBE2bNkWnTp2wdOlS/fNnzpxBdnY2oqKi9DG1Wo2IiAikGvmJzc/Ph06nk21ERPYgLMz0ePHaEkMMPVfR/qYyJ7+K8uiBPbiF+rK4J7T4EX3Kvc6cvCMjzcvDEHP6Yq+M9cVu+1gzA0SGubq6CldXVzF16lRx8OBB8emnnwo3NzexYsUKIYQQe/fuFQDEhQsXZK8bMmSIGDp0qME2Z82aJQCU2zi1RET2oOzaj4gI4/saWt+SmGj6/omJhtuIiDC8r7E2KoqXM3asbMeVGFnp6wy1bexzMjkPS/TFjtlDH02dWlIJIYRSRZSLiwu6dOmCffv26WOvvvoq0tPTkZqain379qF79+64cOEC/Pz89PsMHToUKpUKX331Vbk28/PzkZ+fr3+s0+kQEBAArVYLT09P63aIiMgCHPKspRs3gAYNZKEfp+yAuv8jACo/e4ZnLVmerfdRp9NBrVZXevxWtJAJCgrCY489hmXLluljixcvxrvvvovz58/j9OnTaN68OQ4dOoSOHTvq9+nZsyc6duyIhQsXVvoepn4QRERkJSkpQKklAgCA3FzAw0OZfMgumHr8VnSNTPfu3XH8+HFZLDMzE0FBQQCA4OBg+Pr6IiUlRf+8TqeDRqNBpLHJUCIish3Dh8uLmOefl2YzWMSQhSh6QbxJkyahW7dumDNnDoYOHYr9+/fjv//9L/773/8CAFQqFeLj4/Huu++iRYsWCA4OxowZM+Dv74/+/fsrmToREVVEqwW8vOSxPXuAHj0USYccl6KFTFhYGDZs2ICpU6finXfeQXBwMBYsWIARI0bo90lISMDNmzfxwgsv4Pr16+jRowe2bNkCNzc3BTMnIiKjfvgB6NtXHrt1C3B3N7w/UTUoukamJnCNDBFRDerfX7q1QLFXXwVMWM9IVJapx2/ea4mIiKrv6lXA21se02iA8HBl8qFag3e/JiKi6vn22/JFTF4eixiqESxkiIio6vr0kaaTiiUkSGcluboqlhLVLpxaIiIi812+DDRtKo8dPAh06qRMPlRrcUSGiIjMs369vIhxcgLy81nEkCJYyBARkWmEAB58EBg6tCQ2axZw9y7g4qJcXlSrcWqJiIgql50NlLrnHQDg11+Btm2VyYfoHxyRISKiiq1aJS9iPDyAggIWMWQTWMgQEZFhQgCdOwOjRpXE5syRbvjozAF9sg38SSQiovLOnQMCAuSxY8eAli2VyYfICI7IEBGRXHKyvIjx8ZEW9LKIIRvEQoaIiCRCAK1aAePGlcTmz5cW+jo5KZcXUQU4tURERMBffwHNmsljJ08CzZsrkg6RqTgiQ0RU233yibyICQ4GCgtZxJBd4IgMEVFtVVQkFS1ZWSWxRYuAl15SLiciM7GQISKqjU6eBFq0kMf+/BMIClIkHaKq4tQSEVFtM3++vIhp3VoanWERQ3aIIzJERLVFYaF0hd7Ll0tiycnA2LHK5URUTSxkiIhqg2PHpFOrSzt3DrjnHmXyIbIQFjJERAA0GiAzEwgJASIi5PEffpD+Hh0tf6667RuLWeL9ZObMAaZP1z+80aoLPH7bD6hUZuVcWW4VfYZl48nJQHo6EBYGxMZaoI8m5EGWZxOftXBwWq1WABBarVbpVIjIRiUkCCFdDU7aEhIMx0s/V932TYlV9f30CgqEqFdP1uBwrDKp3bK5hIdXnJupn2FCQvm2wsOr0cdK8q7W50cVsvZnberxWyWEEArVUDVCp9NBrVZDq9XC09NT6XSIyMZoNEDXruXjy5bJL3BbWlqa6f/7NNa+Ocx5P71ffwXat5eFfHEROfCttF1zck5Lk/409zM0tG91R2aM5V2lz48qVBOftanHb561RES1Wmam4Xh6uvmvqe6+Fmtj5kxZEZPT8iGoUCQrYipq19z+VeUzrM6+FeViTpyqzpY+axYyRFSrhYQYjoeFmf+a6u5b7Tbu3JHWvfzrXyWxdevw5+e7AZRfD2OsXXP7V5XPsDr7VpSLOXGqOlv6rFnIEFGtFhEBJCTIY4mJ0jRH2Xjxc+YMnRtr35SYWe938CDg6iqPXb4MDBliNAdj7Rra39C+xW2Y8xkmJgLh4eXbtsSCX3P7SVVnS58118gQEcHOz1pKSAD+/e+Sx336AFu2mJSDOTnzrCUqy5qftanHbxYyRET2Kj8fcHOTxzZuBJ5+WpF0iCzJ1OM3ryNDRGSPDJ02cvUq0LChMvkQKYRrZIiI7M0rr8iLmAEDpEt5sIihWogjMkRE9uL2baBePXnshx+Axx9XJh8iG8BChojIHvz8M/Dgg/KYVgtw7R/VcpxaIiKydc8/Ly9ihg+XppJYxBApW8i89dZbUKlUsi00NFT/fF5eHuLi4uDt7Q0PDw8MGjQIOTk5CmZMRFSDbtyQLnC3bFlJLCUFWL1auZyIbIziIzJt2rTBxYsX9dvPP/+sf27SpEn4/vvvsX79euzevRsXLlzAwIEDFcyWiKiG7NgBNGggj+XmAo8+qkw+RDZK8TUyzs7O8PX1LRfXarVITk7GmjVr8Og//3CXL1+OVq1aIS0tDV2N3NEsPz8f+fn5+sc6nc46iRMRWcvIkfJRl9hY+agMEekpPiJz4sQJ+Pv747777sOIESOQlZUFAMjIyEBBQQGioqL0+4aGhiIwMBCpqalG20tKSoJardZvAQEBVu8DEZFF6HTSVFLpIuann1jEEFVA0UImIiICK1aswJYtW7B48WKcOXMGDz74IHJzc5GdnQ0XFxd4eXnJXuPj44Ps7GyjbU6dOhVarVa/nT171sq9ICKygC1bALVaHrt1q/yZSkQko+jUUnR0tP7v7du3R0REBIKCgrBu3Tq4u7tXqU1XV1e4lr1xGhGRLRs4ENiwoeTxyy8DH32kXD5EdkTxNTKleXl5ISQkBCdPnsRjjz2GO3fu4Pr167JRmZycHINraoiI7M61a0CjRvJYWhrvdEhkBsXXyJR248YNnDp1Cn5+fujcuTPq1q2LlJQU/fPHjx9HVlYWIiMjFcySiMgCvvuufBFz+zaLGCIzKVrIvP7669i9ezf+/PNP7Nu3DwMGDICTkxOeffZZqNVqxMbGYvLkydi5cycyMjIwZswYREZGGj1jiYjILkRHy+9Q/cYb0gXuyt7JmogqpejU0rlz5/Dss8/i77//RpMmTdCjRw+kpaWhSZMmAIAPPvgAderUwaBBg5Cfn48+ffpg0aJFSqZMRFR1V64A//x+08vIAB54QJl8iByASgghlE7CmnQ6HdRqNbRaLTx5OW8iUsr69cDQofJYfj7g4qJMPkQ2ztTjt00t9iUi+6fRSDdkBqQZlOIlHxoNkJkJhISUXwZi6Dlj+1fUjqFczGnDWHz6dCA1FQgMBHr1kp4/ehRITwfCwqTr1RntuxDAww9L14MpNmMG8M47+nYjI4HZs8u/X9m4IcnJ5fMw93OqLmPfeUWM5V3dPGqqz0qrTX2tlHBwWq1WABBarVbpVIgcXkKCENKRu2RLSCgfT0gw/pqK9q+oncpyqawNY3Ff3/J9KruFhxvu+ztx2eWCbfGLqFevfLu+vobfrzhuSHh4+TzM/Zyqy9h3XhFjeVsyD2v2WWm1pa+mHr9ZyBCRRaSlVX7AL72lpZn3mmXLjLdjai7G2jAWj4kxr0+lt+FYJQvo4CGcUFDha7p1MxyfNq18H43lPG2a6Z+TNb9zY+9X0Xdg6Tys0Wel1aa+mnr8tqnTr4nIfmVmmr+/Oa9JTzf9fY21a6wNY/H9+yvPqzyBdHTBaozUR6ZhNjyRi8JKZvN//91w3NBdWYzlbOwOLuZ+P6aoqE1LfQfVycMafVZabeqrqVjIEJFFhISYv785rwkLM/19jbVrrA1j8fDwyvMqzR/nIVAHXZChj7340B9IwjSTXt+6teG4oUtnGcvZ2GW2zP1+TFFRm5b6DqqThzX6rLTa1FeT1dAIkWI4tURUcwytl0hMLB9PTDT+mor2r6idynKprA1jcVPWyERECLHu8WRZMAdNxJQ37gohhKhXT75//frl2/XzM/x+xXFDyq41iYgw/3OqLmPfeUWM5W3JPKzZZ6XVlr6aevzm6ddEZFG17qylLgKxH7SVzQtt7f0feL0zWdbG6NHSVFV4OLBihbxdnrVkuTxqy5k8taGvph6/WcgQEVXVX38BzZrJYydOAPffr0g6RI7E1OM318gQEVXF4sXyIiYwECgsZBFDVMNYyBARmaOoCAgOBiZMKIl9/LE0OlOHv1KJahqv7EtEZKpTp8qPuJw5U356iYhqDP/7QERkig8+kBcxrVpJozMsYogUxREZIqKKFBYC/v7ApUslsWXLLHeqDRFVCwsZIiJjjh2TRl5KO3sWuPdeZfIhonI4tUREZMjcufIipnNnaSqJRQyRTeGIDBFRaXfvAg0bAjdulMS++AIYOdL4a4hIMSxkiIiKHT0KtGsnj128CPj6KpMPEVXKpEJm4MCBJjf4zTffVDkZIiLFzJ0LTJ1a8rhHD+CnnwCVSrmciKhSJq2RUavV+s3T0xMpKSk4cOCA/vmMjAykpKRArVZbLVEiIqsoLATefltexHz1FbBnD4sYIjtg0ojM8uXL9X9PTEzE0KFDsWTJEjg5OQEACgsLMWHCBN7LiIjsy8WL0tqXHTukx61bA7t2AU2aKJoWEZnO7JtGNmnSBD///DNatmwpix8/fhzdunXD33//bdEEq4s3jSQig7Ztk4qYS5eA+vWleyeNGqV0VkT0D6vdNPLu3bs4duxYufixY8dQVFRkbnNERDXr7l3gzTeBPn2kIqZdO+DAARYxRHbK7LOWxowZg9jYWJw6dQrh4eEAAI1Gg7lz52LMmDEWT5CIyGLOnQOGD5fWvwDACy8ACxYA7u6KpkVEVWd2IfP+++/D19cX//nPf3Dx4kUAgJ+fH9544w289tprFk+QiMgifvhBGnX5+2/AwwNYuhR45hmlsyKiajJ7jUxpOp0OAGx67QnXyBDVcgUF0lTSe+9Jjzt1ks5KatFC2byIqEJWWyMDSOtktm/fji+//BKqf05PvHDhAm6UvhImEZHSsrKAnj1Lipi4OGDfPhYxRA7E7Kmlv/76C48//jiysrKQn5+Pxx57DA0aNMC8efOQn5+PJUuWWCNPIiLzfPcdMHo0cO0a4OkJJCcDgwcrnRURWZjZIzITJ05Ely5dcO3aNbiXWiA3YMAApKSkWDQ5IiKz3bkDTJ4MPP20VMR06QIcOsQihshBmT0is2fPHuzbtw8uLi6yeLNmzXD+/HmLJUZEZLYzZ6QFvPv3S4/j44F584Ayv6+IyHGYXcgUFRWhsLCwXPzcuXNo0KCBRZIiIjLbN98AY8cCWi3g5QWsWCGNyhCRQzN7aql3795YsGCB/rFKpcKNGzcwa9Ys9O3b15K5ERFVLj8feOUVYNAgqYjp2hU4fJhFDFEtYXYh8/7772Pv3r1o3bo18vLyMHz4cP200rx586qcyNy5c6FSqRAfH6+P5eXlIS4uDt7e3vDw8MCgQYOQk5NT5fcgIgdz8iTQrRvw8cfS4zfekO5YHRSkbF5EVGPMnloKCAjAkSNH8NVXX+HIkSO4ceMGYmNjMWLECNniX3Okp6fj008/Rfv27WXxSZMmYfPmzVi/fj3UajVefvllDBw4EHv37q3S+xCRA1m3Dhg3DsjNBby9gc8/B/r1UzorIqphZl0Qr6CgAKGhodi0aRNatWplkQRu3LiBBx54AIsWLcK7776Ljh07YsGCBdBqtWjSpAnWrFmDwf+cbXDs2DG0atUKqamp6Nq1q0nt84J4RA7m9m1g0iTg00+lxz16AF9+Cdx7r7J5EZFFWeWCeHXr1kVeXl61kystLi4O/fr1Q1RUlCyekZGBgoICWTw0NBSBgYFITU012l5+fj50Op1sIyIHcfy4tAbm008BlQqYNg3YuZNFDFEtZvbUUlxcHObNm4dly5bB2dnsl8usXbsWBw8eRHp6ernnsrOz4eLiAi8vL1ncx8cH2dnZRttMSkrC22+/Xa28iGorjQbIzARCQoCICPlzyclAero0ixMaanifsvuGhQGxsZW3Xfo5QPr7nTvSWdP6/VetAsaPB27ehM6tCfa9tAqPz+5tUu7G+lnuPUz8LExp25w8yu5b1fcmqpWEmfr37y8aNGgg/Pz8RO/evcWAAQNkm6mysrJE06ZNxZEjR/Sxnj17iokTJwohhFi9erVwcXEp97qwsDCRkJBgtN28vDyh1Wr129mzZwUAodVqTe8kkQ1ZtkyIF1+U/qxMWpoQK1dKf5orIUEIoGQbObLkuTZt5M8Vb4b+KYaHy/cJDy/f9uOPl+Tbr5/htos3d9wU+9uN1Qd24GHhh/P6tg3lXsGviHL7GnqNOe1V1HZFrxs1yvC+VX1vIkej1WpNOn6bXciMHj26ws1UGzZsEACEk5OTfgMgVCqVcHJyEtu3bxcAxLVr12SvCwwMFPPnzzf5fUz9IIhskaGiwJjqHADT0gwf3EeNkoqOigqN0kXTsmUV71t68/aufJ9W+E38CqmKKoRKzMIsUQd3ZftMm1Z5XpX1s/RrjO1TWXFozutGjjS8r7HPryqFKZG9M/X4bfbc0PLlyy0yEtSrVy/8+uuvstiYMWMQGhqKxMREBAQEoG7dukhJScGgQYMAAMePH0dWVhYiIyMtkgORLUtOLrlAbbH9+6V48XRNMY2m5L6Ixd57Dxg40LSpicxMw/EvvjDttcXvYWCW2Ki//674+RiswCJMQD3cxkX44v2OqzH/8KPl9jO2ZK50XqVjFanoeUPtmfLasq/TaKRZMkOMfX6VvTdRbValu18DwKVLl7Bnzx7s2bMHly5dMvv1DRo0QNu2bWVb/fr14e3tjbZt20KtViM2NhaTJ0/Gzp07kZGRgTFjxiAyMtLkM5aI7Jmxg5qheEUHUVMUr02pitKvDQurejvF6uMGViAGKzAG9XAb2xCFjjgMt77lixgAMPb/GkN9qqyfISHG9zHltabEK/pOjH1+1fl+iBxeVYZ6Ro4cKZydnYVKpRIqlUo4OzuLESNGiOvXr1d5CEkI+RoZIYS4ffu2mDBhgmjYsKGoV6+eGDBggLh48aLZ+YJTS2SHjE0zGForU9XpkNKMTXdUtCUmlm+n7HSYsfU1hra2+EX8jlAhAHEXdcQ0vCtUKNS/T9m2IyKkeNlpNUN5FTO2Rqb0a8xpr6K2Db2uomm86rw3kaOx2hqZoUOHihYtWogtW7boF9Ru2bJFtGzZUgwbNqzKCVsLCxmyZ8YO3IZY4gBYdgFqYqLhA/9991VcJJVdoGyoDT+/0o+LxDj8V9yCmxCAuNnQX2xK2G1w4bKxxc/mLHQu3nfZMuOvqerCaVNeV/bzKC5iqvveRI7E1OO3WRfEA4D69etj69at6NGjhyy+Z88ePP7447h586bFRossgRfEI3tn6FRmYyxx2q6hNjQaYOlSaV3LE09Unoexdsu2odEAZ47oEJb8IprvXyvt+PjjwMqVQJMmVeuAneAp1kQVM/X4bXYhExgYiM2bN6Ndu3ay+C+//IK+ffvi3LlzVcvYSljIENmwQ4eAoUOleyY5OQFz5gCvvw7UqfLyPSJyEFa5si8AvPnmm5g8ebLsonTZ2dl44403MGPGjKplS0S1ixDAokXSVXpPngQCAqSbPSYksIghIrOYPSLTqVMnnDx5Evn5+QgMDAQAZGVlwdXVFS1atJDte/DgQctlWkUckSGyMVqtdLPHr7+WHj/5JLB8uXTJYCKif5h6/Db7OjL9+/evTl5EVJulpwPDhgFnzgDOztLFbuLjpfsmERFVgdmFzOnTpzF27Fj07NnTGvkQkSMSAvjwQ+CNN4CCAqBZM+Crr4DwcKUzIyI7Z/ZktFarxWOPPYYWLVpgzpw5uHDhgjXyIiJHcfUqMGCANPJSUCD9/dAhFjFEZBFmFzIbN27E+fPn8dJLL+Grr75CUFAQoqOjsX79ehQUFFgjRyKyV2lpQKdOwLffSreZ/ugj4H//A8rc1Z6IqKqqdHpAkyZNMHnyZBw5cgQajQb3338/nnvuOfj7+2PSpEk4ceKEpfMkIntSVAS8/z7w4INAVhbQvDmwbx/w8stcD0NEFlWt8xwvXryIbdu2Ydu2bXByckLfvn3x66+/onXr1vjggw8slSMR2ZMrV4CnnpLWw9y9K10n5uBBoHNnpTMjIgdkdiFTUFCA//3vf3jiiScQFBSE9evXIz4+HhcuXMDnn3+O7du3Y926dXjnnXeskS8R2bKff5amkjZvBlxdgSVLgLVrAV76gIisxOyzlvz8/FBUVIRnn30W+/fvR8eOHcvt88gjj8CLc+BEtUdRETBvHjBjBlBYKF13f906oEMHpTMjIgdndiHzwQcfYMiQIXBzczO6j5eXF86cOVOtxIjITly6BIwaBfz4o/R4xAhg8WKgQQNl8yKiWsHsQmbUqFHWyIOI7NGuXcDw4cDFi4C7O/Dxx8CYMVzQS0Q1hjc1ISLzFRYC77wD9OolFTGtWgH79wNjx7KIIaIaZfaIDBHVctnZ0vTRjh3S49GjpZGY+vUVTYuIaicWMkRkuu3bpSLm0iWgXj1pLcxzzymdFRHVYpxaIqLK3b0rnZHUu7dUxLRrB2RksIghIsVxRIaIKnb+vLSg96efpMfPPw8sXCgt7iUiUhgLGSIybssW6dTqK1cADw/gv/8Fnn1W6ayIiPQ4tURE5RUUAFOmANHRUhHTsaN0mwEWMURkYzgiQ0RyWVlSwbJvn/R4wgTgP/8BKrgIJhGRUljIEFGJ77+XTqe+elW6P1JyMjB4sNJZEREZxaklIgLu3AFee026a/XVq0CXLsChQyxiiMjmcUSGqLY7cwZ45hnpyrwAMHGidANIV1dl8yIiMgELGaLabMMG6d5IWi3g5QUsXw707690VkREJuPUElFtlJ8PvPoqMHCgVMRERACHD7OIISK7wxEZotrm1Clg2DDpyrwA8PrrwJw5QN26Fb4sORlITwfCwoDY2IrfQqMBMjOBkBCpRrIka7ZNRPaHIzJEtcm6dUCnTlIR4+0NbNoE/PvflRYxERHAuHHAp59Kf1ZUQCQmAl27Sncv6NpVemwp1mybiOwTCxmi2iAvD3jpJWkkJjcX6N5dmkrq16/SlyYnl6wDLrZ/vxQvS6MB3ntPHnvvPSleXdZsm4jsFwsZIkeXmSkNXyxZIj2eOhXYtQu4916TXp6ebno8M9N4CtVlzbaJyH6xkCFyZKtXAw88ABw5AjRpIt07ac4cwNn05XFhYabHQ0IM72ssbg5rtk1E9kvRQmbx4sVo3749PD094enpicjISPzwww/65/Py8hAXFwdvb294eHhg0KBByMnJUTBjsgaNBvjiC/uYIkhOBsaPNzytUqy4P6NHA48+Ckyfbjxeuu9l29ZopPUoLVsCoaEl7QDSjNA990h/FrfRrx/g5ycd2FcsuiW9eORI4OZNpNd/GH18DmP6T31keY4bBwwYIO9P2TxiY4HWreV9jIiQ4mW/u4gIICFBvm9iYsmaGlM+P2Mqa9sc1vyZs0Tb9vRvgkhxQkHfffed2Lx5s8jMzBTHjx8X06ZNE3Xr1hVHjx4VQggxfvx4ERAQIFJSUsSBAwdE165dRbdu3cx6D61WKwAIrVZrjS5QNSUkCAGUbAkJSmdkXHi4PNfw8PL7lO1P8VavnuG4sc3X13jc2bni17bCb+JXtBECEIVQibcwU9TBXVkbhvIMDzfcR0P7Gmqj+Lsr29d69Uz//CzxHVTGmj9zlmjbnv5NEFmTqcdvRQsZQxo2bCiWLVsmrl+/LurWrSvWr1+vf+6PP/4QAERqaqrJ7bGQsV1paYYPxGlpSmdW3rJlhnNdtqxkH2P9qcktBsvFDUiVxEX4iEexvUbfv29fw/Fu3Sr//CzxHVTGmj9zlmjbnv5NEFmbqcdvm1kjU1hYiLVr1+LmzZuIjIxERkYGCgoKEBUVpd8nNDQUgYGBSE1NNdpOfn4+dDqdbCPbZE+LN01Z8Kpk3vVxAysQgxUYg/q4he3ohY44jB3oVaN5HD5sOP7774bjxj5Xc/Y1pw1bX4xsT/8miGyF4oXMr7/+Cg8PD7i6umL8+PHYsGEDWrdujezsbLi4uMDLy0u2v4+PD7Kzs422l5SUBLVard8CAgKs3AOqKntavGnKglel8m6LX5GOMMRgJQpRB2/iX+iDrciBb43n0rGj4XjZNTbFjH2u5uxrThu2vhjZnv5NENmMGhohMio/P1+cOHFCHDhwQEyZMkU0btxY/Pbbb2L16tXCxcWl3P5hYWEioYJJ47y8PKHVavXb2bNnObVkw8quB0hMVDoj48quz4iIKL+PsTUy9eubN0Xj52c8XrJGpkjEYqm4BTchAHEO/uIh7Kr0Pf38DOcZEWG4j4b2NdRG8XdXdo1M/fqmf36W+A4qY82fOUu0bU//JoisydSpJZUQQihdTJUWFRWF5s2bY9iwYejVqxeuXbsmG5UJCgpCfHw8Jk2aZFJ7Op0OarUaWq0Wnp6eVsqaqsOeLjlvymX6i/uTkgJkZQGRkcDs2YbjTz1V0vejR+VtazTA0qXAnj2ASgUMGiS1AwCD++RixJ4XMeD2lwCA8+0fx+tNVmLXb03QoIF0Nk9srJTvpk3SDa6dnIDHHy9po7j9v/8GnniipD+G+qjRSK87f758G4a+u9GjpYvmhYcDK1aY9/lZ4juojK3fQsGe/k0QWYupx2+bK2QeffRRBAYGYuHChWjSpAm+/PJLDBo0CABw/PhxhIaGIjU1FV27djWpPRYy5HAOHwaGDgVOnJCqk9mzgTfeAOooPlNMRGQxph6/Fb1p5NSpUxEdHY3AwEDk5uZizZo12LVrF7Zu3Qq1Wo3Y2FhMnjwZjRo1gqenJ1555RVERkaaXMQQORQhgMWLgcmTpbtX33svsHatdLsBIqJaStFC5tKlS3juuedw8eJFqNVqtG/fHlu3bsVjjz0GAPjggw9Qp04dDBo0CPn5+ejTpw8WLVqkZMpEytBqpavXff219PiJJ6Q5G29vRdMiIlKazU0tWRqnlsjuHTgg3ezx9Gnp1gLz5gGTJkkLZ4iIHJRdTC0RUQWEAD78UFr/UlAABAUBX33F1Z9ERKWwkCGyRdeuAWPHAhs3So/79wc++wxo2FDJrIiIbA5PcyCyNRoN0KmTVMS4uEijMt98wyKGiMgAFjJEtqKoCPjPf4AePYC//gLuuw/Ytw945RWuhyEiMoJTS0S24O+/gZgYYPNm6fGQIdLV6tRqZfMiIrJxHJEhUtrevdJNijZvBlxdpWvFfPUVixgiIhOwkCFSSlERkJQE9OwJnDsHtGgBpKUB48dzKomIyEScWiJSwqVLwHPPAVu3So+HDweWLAEaNFA2LyIiO8NChqim7d4NPPsscPEi4OYGfPyxdKo1R2GIiMzGqSWimlJYCLzzDvDoo1IR06qVdBvn2FgWMUREVcQRGaKakJ0NjBwJpKRIj2NigE8+AerXVzYvIiI7x0KGyNpSUoARI4CcHKBePWDRIqmQISKiauPUEpG13L0LzJwJPPaYVMS0bSvdAJJFDBGRxXBEhsgaLlyQFvT+9JP0eNw4YOFCaUSGiIgshoUMkaVt2QKMGgVcuQJ4eACffiqdXk1ERBbHQoYcjkYDZGYCISFARIR1Xyd7Tee7wIwZwNy5AICLTTsgMXgdAn4LwVOl9jt6VDpZKSxMmm2qSq7GJCeXtB0bW/32bE1Vv1sicmDCwWm1WgFAaLVapVOhGpCQIARQsiUkWO91pV9zL7LE6Xu66wOf1ZsgXHFb1mZlm6m5GhMeLm8vPLx67dmaqn63RGSfTD1+q4QQQuliypp0Oh3UajW0Wi08PT2VToesSKMBunYtH09Lq/h/71V5XenX9MMmfI4YeOMq7tb3xPreyzB8wxDzO2BCrsYkJ0vLcMpatswxRmaq+t0Skf0y9fjNs5bIYWRmmhevzusyM4G6uIP38Ro24Ul44yoOoDO+f+sgll6vWhFjSq7GpKebF7c3Vf1uicjxsZAhhxESYl68Oq9r6/EnfsJDeA3zAQAL8Sq6Yy/8H2yOyEgTkjUzl8qEhZkXtzdV/W6JyPGxkCGHEREBJCTIY4mJlU89mP26jRvRaWwndIUG1+CF/tiAeCzEpERXREQAs2cDvr7m529KrsbExgLh4fJYRIRjTCsBVf9uicjxcY0MORyrnbWUny8dTT/8UHocEYFDiWtx9EYzg6+ZPh1ITQUiI4GnnuJZS5bAs5aIag9Tj98sZIhMceoUMGwYkJEhPX7tNWDOHMDFRdm8iIgclKnHb15Hhqgy69dLpwTpdECjRsDnnwNPPKF0VkREBK6RITIuLw+YMAEYOlQqYrp3Bw4fZhFDRGRDWMgQGZKZKV24ZPFi6fHUqcDOnUBAgLJ5ERGRDKeWiMpaswZ48UXgxg2gcWNg1SqgTx+lsyIiIgM4IkNU7NYt4PnngREjpCKmZ0/gyBEWMURENoyFDBEA/PGHdD7vsmWASiXd/HH7dsDfX+nMiIioApxaIvr8c2lR761bgI+PNJUUFaV0VkREZAKOyFDtdfMmMHq0tN26BfTqJZ2VxCKGiMhuKFrIJCUlISwsDA0aNEDTpk3Rv39/HD9+XLZPXl4e4uLi4O3tDQ8PDwwaNAg5OTkKZUwO4+hRoEsXaTSmTh3gnXeArVurdm8BIiJSjKKFzO7duxEXF4e0tDRs27YNBQUF6N27N27evKnfZ9KkSfj++++xfv167N69GxcuXMDAgQMVzJrsmhDSOpiwMODYMcDPD9ixQ1oT4+SkdHZERGQmm7pFweXLl9G0aVPs3r0bDz30ELRaLZo0aYI1a9Zg8ODBAIBjx46hVatWSE1NRdeuXSttk7coIL3cXGD8eOn0akA6G2nlSqBpU2XzIiKickw9ftvUGhmtVgsAaNSoEQAgIyMDBQUFiCq1ZiE0NBSBgYFITU012EZ+fj50Op1sI8Lhw9JU0po10shLUhLwf//HIoaIyM7ZTCFTVFSE+Ph4dO/eHW3btgUAZGdnw8XFBV5eXrJ9fXx8kJ2dbbCdpKQkqNVq/RbAK7HWGI0G+OIL6U9T4pZo25Dp04FHH5X+hBDS1Xm7dgUyM3Gz0b34bdFuYMoUaW2MBd6PiIgUJGzE+PHjRVBQkDh79qw+tnr1auHi4lJu37CwMJGQkGCwnby8PKHVavXb2bNnBQCh1WqtljsJkZAghFQ1SFvx12Msbom2DfH1LdnPE9fFRreh+sB3eEI0wpVK27BEzkREVD1ardak47dNFDJxcXHi3nvvFadPn5bFU1JSBABx7do1WTwwMFDMnz/fpLZN/SCo6tLS5Af+4m3ZMsPxtLTqt22ojWnTSp7vjHRxEvcJAYgClbOYjPcFUFRpG+a8HxERWY+px29Fp5aEEHj55ZexYcMG7NixA8HBwbLnO3fujLp16yIlJUUfO378OLKyshAZGVnT6ZIRmZmG4+np5u1vzr6G4tKyKYFX8CH2oRua4zT+RBBGBu3BfLwGQFVpG+a8HxERKU/RQiYuLg6rVq3CmjVr0KBBA2RnZyM7Oxu3b98GAKjVasTGxmLy5MnYuXMnMjIyMGbMGERGRpp0xhLVjJAQw/GwMPP2N2dfQ/FHOl7D/zAIH2IiXFCADeiPTjgEt56Gf1YMtWHO+xERkQ2omQEiwwAY3JYvX67f5/bt22LChAmiYcOGol69emLAgAHi4sWLJr8Hp5ZqRtl1JYmJFcct0bZMWpoQQUFCACIfdcUrWCiAIuHnZ34elsiZiIiqx9Tjt01dR8YaeB2ZmqPRSFMwISHS/Rcri1uibQgBzJ8vnYV09y5w331Y1PMrfP1nF0RGArNnVy0PS+RMRERVZ+rxm4UM2a+//5buk7Rpk/R48GDpqr1qtaJpERFR9dnlBfGITLZ3L9Cpk1TEuLoCixYB69axiCEiqmVYyJB9KSoC5s4FevYEzp4FWrQA0tKAl14CVKrKX09ERA7FWekEiEx2+TLw3HPAli3S4+HDgSVLgAYNlM2LiIgUw0KG7MPu3VLhcuEC4OYGfPQREBvLURgiolqOU0tk2woLgX/9S7p50oULQGgosH8/MG4cixgiIuKIDNmw7Gxg5Eig+MrOMTHAJ58A9esrmxcREdkMFjJkm1JSgBEjgJwcoF496aykmBilsyIiIhvDqSWyLYWFwKxZwGOPSUVMmzbSTZtYxBARkQEckSHbceGCtKB3927p8bhxwMKF0ogMERGRASxkyDZs3QqMGiWdYu3hAXz6qVTUEBERVYBTS6Ssu3eBqVOBxx+XipgOHYCMDBYxRERkEo7IkHLOngWefVa63QAgXZ13/nzpOjFEREQmYCFDyti8WbpK79Wr0pV5ly0Dhg5VOisiIrIznFqimlVQALzxBvDEE1IR07kzcOgQixgiIqoSjshQzfnzT+CZZwCNRnr8yivAv/8t3b2aiIioCljIUM3YuBEYMwa4fh3w8gI++wwYMEDhpIiIyN5xaomsKz8fiI+Xipbr14HwcGkqiUUMERFZAAsZsp7Tp4Hu3aWL2gHAa68Be/YAzZopmhYRETkOTi2RdXz9NRAbC+h0QKNGwIoVwJNPKp0VERE5GI7IkGXl5QFxccCQIVIR062bNJXEIoaIiKyAhQxZzokTQGSkdKdqAJgyBdi1CwgMVDQtIiJyXJxacgAaDZCZCYSEABERxmMAMHo0sH+/tOZ2xQoplpwMvP02oNUCbdtKN54GgOhow+0tXlzSxksvSfEbS7/EqJ9fgIe4AZ1rY1yY+wXSvR/HsbeA338HvL2B55+Xt/fDD+XfZ/p0IDVVqofuu0+68XVYGPDNN8Dhw0DHjtK19MgwY987EZGjUgkhhNJJWJNOp4NarYZWq4Wnp6fS6VhcYiLw3nsljxMSpD/LxubNA+rXB27dKonXqycVLvv3G2/fUHulueE2FmIiXsBSAMBuPIThWIMLuMes9hISgJUrgexs47kUc3aWrqtHcoZ+FubNUy4fIqLqMPX4zULGjmk0QNeupu3bty/wf/9n2fcPxR9Yh6Foh6MoggqzMR1vYxYKa2Cgr29fjsyUZuxnIS2NIzNEZJ9MPX5zjYwdy8w0fd/Dhy373qOwEgfQBe1wFNnwQW/8iJn4V40UMYDl+2PvjP0smPMzQkRkj1jI2LGQENP37djRMu9ZDzfxGcZgJWJQH7eQgkfREYeRgijLvIGJLNUfR2HsZ8GcnxEiInvEQsaORUSUrDkplphoOLZ5s7QmprT69aUFuxUp3V4bHEU6wjAGK1CIOpiJt9EbPyIHvibnbCi/4rivic04O3NaqSxjPwucViIiR8c1Mg7A6mctCYHTb36GwPdfgfOd27jm7of4JmugeuRh/VlLKSnAli3A3bvSja2L48eO8aylmsSzlojIUXCx7z9qQyFjVbm5UlWyerX0uHdv4IsvgKZNlc2LiIgcGhf7UvUdOQJ06SIVMU5OwJw50jAKixgiIrIRvCAelScE8Omn0l2r8/OBe+4B1q4FevRQOjMiIiIZRUdkfvrpJzz55JPw9/eHSqXCxo0bZc8LITBz5kz4+fnB3d0dUVFROHHihDLJ1hY6HfDMM9J0Un4+0K+ftDiFRQwREdkgRQuZmzdvokOHDvjkk08MPv/ee+/hww8/xJIlS6DRaFC/fn306dMHeXl5NZxpLZGRATzwALBunXRq0L//DXz3HdC4sdKZERERGaTo1FJ0dDSio6MNPieEwIIFC/Dmm2/i6aefBgCsXLkSPj4+2LhxI5555pmaTNWxCQF8/DHw+uvAnTtAUJA0lWTqZYOJiIgUYrOLfc+cOYPs7GxERZVcaE2tViMiIgKpqalGX5efnw+dTifbqALXrgGDBgGvvioVMU8/DRw6xCKGiIjsgs0WMtn/3D3Qx8dHFvfx8dE/Z0hSUhLUarV+CwgIsGqedm3/fmkqacMGoG5dYMEC6e8NGyqdGRERkUlstpCpqqlTp0Kr1eq3s2fPKp2S7RECmD8f6N4d+PNPIDgY2LsXmDgRUKmUzo6IiMhkNnv6te8/16vPycmBn5+fPp6Tk4OOFdxox9XVFa6urtZOz35dvSpd3vf776XHgwcDy5YBarWiaREREVWFzY7IBAcHw9fXFykpKfqYTqeDRqNBZGSkgpnZsX37pGv8f/894OICfPKJdIYSixgiIrJTio7I3LhxAydPntQ/PnPmDA4fPoxGjRohMDAQ8fHxePfdd9GiRQsEBwdjxowZ8Pf3R//+/ZVL2h4VFUmnUk+fDhQWAvffLxUwnTopnRkREVG1KFrIHDhwAI888oj+8eTJkwEAMTExWLFiBRISEnDz5k288MILuH79Onr06IEtW7bAzc1NqZTtz+XLQExMyR0an31WumpvgwbK5kVERGQBvGmkI5s9G3jzTenvbm7Ahx8C48ZxQS8REdk83jRSIRqNdHNojaYkNn068Oij0p9l933rLWkr3l+jkZaxeHlJf5aOt2ghDaR07w4kJwPjx0ttNmgA1Kkj3ctRowFWrbiLPKd6JUUMAOzfD03759GxkwqNG0t3HijNUI79+kl5BAZK71es+L1Lx4z13RhjbRAREZlFODitVisACK1Wa/X3SkgQQjq3WdoSEoTw9ZXHfH0N7wsIER5ePlZR3NDWDkfKBZu5Zxt8P2dnKRdDOTo7G86jbC7h4cb7boyxNoiIiIqZevzm1JKFaDSmXww3Jgb4/HPL5/AOZmAG3tU/3oWeeAQ7ARifSmreHDh1qnrvO20aMGdO+XhaGhARIY8lJ0uzW2UtWwbExlYvDyIichycWqphmZmm77t/v2Xfuy7uQEAlK2IGYz0ewS5UVMQAgCWuF2jsjhGGPpP0dMP7GosTERFVhIWMhYSEmL5veLjl3rcTDuIO5BcAbIzL+B8Gm/R6S9zBwdhlfQx9JmFhhvc1FiciIqoICxkLiYgAEhLkscRE4J8LFOv5+QErVpTft7gNY20b8m+8joPorH/8Ax6HCgJ/o7Fsv/r1Db+fszNw8qThHJ0NnJgfEVG+CIuIkE6OMtR3Q3nHxhpug9NKRERUFVwjY2EajTSlEhJSciCfPl2afomMlA76pfctvrxLdLS0v0YDvPiidAukZs2kS74Ux0eOBLKzgS5t87AzzV32vk/jW6Q2eQrffy+9/9q1wJkzUtGwYkXJ+734InDunNTm5s0lrzeUY79+0i2YPD2BWbNKio3kZGkqKCxMXoAY6rsxxtogIiICTD9+s5CxN2lp5edyrl7lHauJiMihcLGvI3r5ZXkRM3CgdAYzixgiIqqlbPbu11TKrVvSQpfStmwB+vRRJh8iIiIbwULG1u3ZAzz0kDym1UoLV4iIiGo5Ti3ZsrFj5UXMiBHSVBKLGCIiIgAckbFNN26Uvzv1jh1AqTuFExEREUdkbE9KSvkiJjeXRQwREZEBLGRsyfDhQFRUyePnn5emkjw8lMuJiIjIhnFqyRZotYCXlzy2Zw/Qo4ci6RAREdkLjsgo7Ycfyhcxt26xiCEiIjIBCxkl9e8P9O1b8viVV6SpJHd3oy8hIiKiEpxaUsLVq4C3tzym0Vj2tthERES1AEdkatq335YvYvLyWMQQERFVAQuZmtS7tzSdVCwhQZpKcnVVLCUiIiJ7xqmlmnD5MtC0qTx28CDQqZMy+RARETkIjshY27p18iKmTh0gP59FDBERkQWwkLEWIaRTqIcNK4nNnAkUFgIuLsrlRURE5EA4tWQN2dmAn5889uuvQNu2yuRDRETkoDgiY2lffCEvYjw8gIICFjFERERWwELGUoQAOncGnnuuJDZnjnTDR2cOfBEREVkDj7CWcO4cEBAgjx07BrRsqUw+REREtQRHZKpr2TJ5EePjA9y9yyKGiIioBrCQqSohgFatgOefL4nNny8t9HVyUi4vIiKiWoRTS1X10UfS9FGxkyeB5s2Vy4eIiKgW4ohMVRUXLcHB0rVhWMQQERHVOLsoZD755BM0a9YMbm5uiIiIwP79+5VOCejXT5peOn1aulovERER1TibPwJ/9dVXmDx5MmbNmoWDBw+iQ4cO6NOnDy5duqR0akRERKQwlRBCKJ1ERSIiIhAWFoaPP/4YAFBUVISAgAC88sormDJlSrn98/PzkZ+fr3+s0+kQEBAArVYLT0/PGsubiIiIqk6n00GtVld6/LbpEZk7d+4gIyMDUVFR+lidOnUQFRWF1NRUg69JSkqCWq3WbwFlr+9CREREDsOmC5krV66gsLAQPj4+sriPjw+ys7MNvmbq1KnQarX67ezZszWRKhERESnA4U6/dnV1haurq9JpEBERUQ2w6RGZxo0bw8nJCTk5ObJ4Tk4OfH19FcqKiIiIbIVNFzIuLi7o3LkzUlJS9LGioiKkpKQgMjJSwcyIiIjIFtj81NLkyZMRExODLl26IDw8HAsWLMDNmzcxZswYpVMjIiIihdl8ITNs2DBcvnwZM2fORHZ2Njp27IgtW7aUWwBMREREtY/NX0emukw9D52IiIhsh0NcR4aIiIioIixkiIiIyG6xkCEiIiK7xUKGiIiI7JbNn7VUXcVrmXU6ncKZEBERkamKj9uVnZPk8IVMbm4uAPDmkURERHYoNzcXarXa6PMOf/p1UVERLly4gAYNGkClUlWpDZ1Oh4CAAJw9e9ZhT+FmHx0D++gY2EfHwD5WjxACubm58Pf3R506xlfCOPyITJ06dXDvvfdapC1PT0+H/WEsxj46BvbRMbCPjoF9rLqKRmKKcbEvERER2S0WMkRERGS3WMiYwNXVFbNmzYKrq6vSqVgN++gY2EfHwD46BvaxZjj8Yl8iIiJyXByRISIiIrvFQoaIiIjsFgsZIiIislssZIiIiMhusZCpxCeffIJmzZrBzc0NERER2L9/v9IpVctPP/2EJ598Ev7+/lCpVNi4caPseSEEZs6cCT8/P7i7uyMqKgonTpxQJtkqSEpKQlhYGBo0aICmTZuif//+OH78uGyfvLw8xMXFwdvbGx4eHhg0aBBycnIUyth8ixcvRvv27fUXoIqMjMQPP/ygf97e+2fI3LlzoVKpEB8fr4/Zez/feustqFQq2RYaGqp/3t77V+z8+fMYOXIkvL294e7ujnbt2uHAgQP65+39dw4ANGvWrNx3qVKpEBcXB8AxvsvCwkLMmDEDwcHBcHd3R/PmzfGvf/1Ldh8kxb5LQUatXbtWuLi4iM8++0z89ttv4vnnnxdeXl4iJydH6dSq7P/+7//E9OnTxTfffCMAiA0bNsienzt3rlCr1WLjxo3iyJEj4qmnnhLBwcHi9u3byiRspj59+ojly5eLo0ePisOHD4u+ffuKwMBAcePGDf0+48ePFwEBASIlJUUcOHBAdO3aVXTr1k3BrM3z3Xffic2bN4vMzExx/PhxMW3aNFG3bl1x9OhRIYT996+s/fv3i2bNmon27duLiRMn6uP23s9Zs2aJNm3aiIsXL+q3y5cv65+39/4JIcTVq1dFUFCQGD16tNBoNOL06dNi69at4uTJk/p97P13jhBCXLp0SfY9btu2TQAQO3fuFEI4xnc5e/Zs4e3tLTZt2iTOnDkj1q9fLzw8PMTChQv1+yj1XbKQqUB4eLiIi4vTPy4sLBT+/v4iKSlJwawsp2whU1RUJHx9fcW///1vfez69evC1dVVfPnllwpkWH2XLl0SAMTu3buFEFJ/6tatK9avX6/f548//hAARGpqqlJpVlvDhg3FsmXLHK5/ubm5okWLFmLbtm2iZ8+e+kLGEfo5a9Ys0aFDB4PPOUL/hBAiMTFR9OjRw+jzjvg7RwghJk6cKJo3by6Kiooc5rvs16+fGDt2rCw2cOBAMWLECCGEst8lp5aMuHPnDjIyMhAVFaWP1alTB1FRUUhNTVUwM+s5c+YMsrOzZX1Wq9WIiIiw2z5rtVoAQKNGjQAAGRkZKCgokPUxNDQUgYGBdtnHwsJCrF27Fjdv3kRkZKTD9S8uLg79+vWT9QdwnO/xxIkT8Pf3x3333YcRI0YgKysLgOP077vvvkOXLl0wZMgQNG3aFJ06dcLSpUv1zzvi75w7d+5g1apVGDt2LFQqlcN8l926dUNKSgoyMzMBAEeOHMHPP/+M6OhoAMp+lw5/08iqunLlCgoLC+Hj4yOL+/j44NixYwplZV3Z2dkAYLDPxc/Zk6KiIsTHx6N79+5o27YtAKmPLi4u8PLyku1rb3389ddfERkZiby8PHh4eGDDhg1o3bo1Dh8+7BD9A4C1a9fi4MGDSE9PL/ecI3yPERERWLFiBVq2bImLFy/i7bffxoMPPoijR486RP8A4PTp01i8eDEmT56MadOmIT09Ha+++ipcXFwQExPjcL9zAGDjxo24fv06Ro8eDcAxflYBYMqUKdDpdAgNDYWTkxMKCwsxe/ZsjBgxAoCyxw8WMuSw4uLicPToUfz8889Kp2JxLVu2xOHDh6HVavH1118jJiYGu3fvVjotizl79iwmTpyIbdu2wc3NTel0rKL4f7IA0L59e0RERCAoKAjr1q2Du7u7gplZTlFREbp06YI5c+YAADp16oSjR49iyZIliImJUTg760hOTkZ0dDT8/f2VTsWi1q1bh9WrV2PNmjVo06YNDh8+jPj4ePj7+yv+XXJqyYjGjRvDycmp3MrynJwc+Pr6KpSVdRX3yxH6/PLLL2PTpk3YuXMn7r33Xn3c19cXd+7cwfXr12X721sfXVxccP/996Nz585ISkpChw4dsHDhQofpX0ZGBi5duoQHHngAzs7OcHZ2xu7du/Hhhx/C2dkZPj4+DtHP0ry8vBASEoKTJ086zPfo5+eH1q1by2KtWrXST6E50u8cAPjrr7+wfft2jBs3Th9zlO/yjTfewJQpU/DMM8+gXbt2GDVqFCZNmoSkpCQAyn6XLGSMcHFxQefOnZGSkqKPFRUVISUlBZGRkQpmZj3BwcHw9fWV9Vmn00Gj0dhNn4UQePnll7Fhwwbs2LEDwcHBsuc7d+6MunXryvp4/PhxZGVl2U0fDSkqKkJ+fr7D9K9Xr1749ddfcfjwYf3WpUsXjBgxQv93R+hnaTdu3MCpU6fg5+fnMN9j9+7dy13+IDMzE0FBQQAc43dOacuXL0fTpk3Rr18/fcxRvstbt26hTh15yeDk5ISioiIACn+XVl1KbOfWrl0rXF1dxYoVK8Tvv/8uXnjhBeHl5SWys7OVTq3KcnNzxaFDh8ShQ4cEADF//nxx6NAh8ddffwkhpNPnvLy8xLfffit++eUX8fTTT9vVqZAvvfSSUKvVYteuXbLTIW/duqXfZ/z48SIwMFDs2LFDHDhwQERGRorIyEgFszbPlClTxO7du8WZM2fEL7/8IqZMmSJUKpX48ccfhRD23z9jSp+1JIT99/O1114Tu3btEmfOnBF79+4VUVFRonHjxuLSpUtCCPvvnxDSqfPOzs5i9uzZ4sSJE2L16tWiXr16YtWqVfp97P13TrHCwkIRGBgoEhMTyz3nCN9lTEyMuOeee/SnX3/zzTeicePGIiEhQb+PUt8lC5lKfPTRRyIwMFC4uLiI8PBwkZaWpnRK1bJz504BoNwWExMjhJBOoZsxY4bw8fERrq6uolevXuL48ePKJm0GQ30DIJYvX67f5/bt22LChAmiYcOGol69emLAgAHi4sWLyiVtprFjx4qgoCDh4uIimjRpInr16qUvYoSw//4ZU7aQsfd+Dhs2TPj5+QkXFxdxzz33iGHDhsmur2Lv/Sv2/fffi7Zt2wpXV1cRGhoq/vvf/8qet/ffOcW2bt0qABjM3RG+S51OJyZOnCgCAwOFm5ubuO+++8T06dNFfn6+fh+lvkuVEKUuy0dERERkR7hGhoiIiOwWCxkiIiKyWyxkiIiIyG6xkCEiIiK7xUKGiIiI7BYLGSIiIrJbLGSIiIjIbrGQISIiIrvFQoaIiIjsFgsZIqpxDz/8MOLj4y3a5ujRo9G/f3+LtklEto+FDBEREdktFjJEVKNGjx6N3bt3Y+HChVCpVFCpVPjzzz8BAEePHkV0dDQ8PDzg4+ODUaNG4cqVK/rXfv3112jXrh3c3d3h7e2NqKgo3Lx5E2+99RY+//xzfPvtt/o2d+3aVe69V65cCW9vb+Tn58vi/fv3x6hRo6zZbSKyEt40kohqlFarRXR0NNq2bYt33nkHANCkSRPk5uYiJCQE48aNw3PPPYfbt28jMTERd+/exY4dO3Dx4kUEBgbivffew4ABA5Cbm4s9e/bgueeeAwDExsZCp9Nh+fLlAIBGjRrBxcVF9t63b9+Gn58fli5diiFDhgAALl26hHvuuQc//vgjHnnkkRr8JIjIEpyVToCIahe1Wg0XFxfUq1cPvr6++vjHH3+MTp06Yc6cOfrYZ599hoCAAGRmZuLGjRu4e/cuBg4ciKCgIABAu3bt9Pu6u7sjPz9f1mZZ7u7uGD58OJYvX64vZFatWoXAwEA8/PDDFu4pEdUETi0RkU04cuQIdu7cCQ8PD/0WGhoKADh16hQ6dOiAXr16oV27dhgyZAiWLl2Ka9eumf0+zz//PH788UecP38eALBixQqMHj0aKpXKov0hoprBQoaIbMKNGzfw5JNP4vDhw7LtxIkTeOihh+Dk5IRt27bhhx9+QOvWrfHRRx+hZcuWOHPmjFnv06lTJ3To0AErV65ERkYGfvvtN4wePdo6nSIiq+PUEhHVOBcXFxQWFspiDzzwAP73v/+hWbNmcHY2/KtJpVKhe/fu6N69O2bOnImgoCBs2LABkydPNtimMePGjcOCBQtw/vx5REVFISAgoNp9IiJlcESGiGpcs2bNoNFo8Oeff+LKlSsoKipCXFwcrl69imeffRbp6ek4deoUtm7dijFjxqCwsBAajQZz5szBgQMHkJWVhW+++QaXL19Gq1at9G3+8ssvOH78OK5cuYKCggKj7z98+HCcO3cOS5cuxdixY2uq20RkBSxkiKjGvf7663ByckLr1q3RpEkTZGVlwd/fH3v37kVhYSF69+6Ndu3aIT4+Hl5eXqhTpw48PT3x008/oW/fvggJCcGbb76J//znP4iOjgYgrX1p2bIlunTpgiZNmmDv3r1G31+tVmPQoEHw8PDgRfSI7BxPvyaiWqlXr15o06YNPvzwQ6VTIaJqYCFDRLXKtWvXsGvXLgwePBi///47WrZsqXRKRFQNXOxLRLVKp06dcO3aNcybN49FDJED4IgMERER2S0u9iUiIiK7xUKGiIiI7BYLGSIiIrJbLGSIiIjIbrGQISIiIrvFQoaIiIjsFgsZIiIislssZIiIiMhu/T+C0lM+vhBveQAAAABJRU5ErkJggg==\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "number of bottom  nodes:  12\n"
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "## Random Forests  \n",
        "\n",
        "See the link \" Random Forests and Gradient Boosting on the California Housing Data in python\" on the webpage.\n",
        "\n",
        "Below I used random forests.  \n",
        "\n",
        "Try n_estimators = 1000.  "
      ],
      "metadata": {
        "id": "Xuel_F-bh3C9"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "### sklearn model\n",
        "from sklearn.ensemble import RandomForestRegressor"
      ],
      "metadata": {
        "id": "Jj6XJqE9iJpF"
      },
      "execution_count": 14,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "## fit rf on train, predict on val\n",
        "# use 500 trees and 2 x's\n",
        "#rfm = RandomForestRegressor(random_state=34,n_jobs=-1,n_estimators=500,max_features=2)\n",
        "rfm = RandomForestRegressor(n_estimators=500,random_state=34)\n",
        "rfm.fit(Xtrain,ytrain) # fit on train\n",
        "## predict on val\n",
        "ypredRF = rfm.predict(Xtest)"
      ],
      "metadata": {
        "id": "HPF42RpqjZ-E"
      },
      "execution_count": 15,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "plt.scatter(ypredRF,ytest,c='blue',s=10)\n",
        "plt.plot(ytest,ytest,c='red')\n",
        "plt.xlabel('random forests predictions');plt.ylabel('test y')\n",
        "\n",
        "print('rmse from rf: ',myrmse(ytest,ypredRF))"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 466
        },
        "id": "GN_eGM0FcAPp",
        "outputId": "848a92c6-fc6e-4c55-b931-53a164071d2f"
      },
      "execution_count": 16,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "rmse from rf:  5.596\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "## Boosting  \n",
        "\n",
        "See the link \" Random Forests and Gradient Boosting on the California Housing Data in python\" on the webpage.  \n",
        "\n",
        "Below are boosting results.  \n",
        "\n",
        "Try n_estimators = 5000.  Should this make it worse or better !!??"
      ],
      "metadata": {
        "id": "Tiqeq7Cfnbpv"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "from sklearn.ensemble import GradientBoostingRegressor\n",
        "\n",
        "### try boosting## plot boosting prediction on val\n",
        "gbm = GradientBoostingRegressor(learning_rate=.05,n_estimators=500,max_depth=2,random_state=34)\n",
        "gbm.fit(Xtrain,ytrain)\n",
        "ypredB = gbm.predict(Xtest)"
      ],
      "metadata": {
        "id": "ZPqfTj9xnfJv"
      },
      "execution_count": 17,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "## plot boosting prediction on val\n",
        "plt.scatter(ypredB,ytest,c='blue',s=10)\n",
        "plt.plot(ytest,ytest,c='red')\n",
        "plt.xlabel('boosting prediction');plt.ylabel('test y')\n",
        "\n",
        "print(f'boosting rmse: {myrmse(ypredB,ytest)}')"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 466
        },
        "id": "p2CMsrcTeRY8",
        "outputId": "1a81fbe7-f758-4aa2-ec43-fe6839a41dbf"
      },
      "execution_count": 18,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "boosting rmse: 5.323\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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XOkR+hTkyREReYp4jo9MBM2c6dg21Vy25O1fH1vWmTgUGDLBxzX37gA4d5G0nT1run0R+jZtGEhH5GHdUxFW7EJ2rm0YqvV7r1jau99JLwOTJ1e9TUqQoiqMwdRYDGSIiL1I7EHGVu3N1FF/v8mVpg8eysuq2JUuAhx927sYUMJgjQ0REii1fbtnmSq6Ootyfn38GQkPlQUxhIYMYAsBAhoiIFLK2hBwA7rnHtevOmiXNDuXmSj9leUOTJwNdulS/79dP2n4gJsa1m1LA4NQSEREp4u78mJosptwqKoCwMPlJy5YB997r2o0o4DCQISIiRbxWy2bHDqBHD3nbmTNA06ZuvhEFAk4tERGRIl6pZfPss/Ig5s47pakkBjFkA0dkiIhIMXcsIbeqrAyIiJC3/fe/wD/+4aYbUKBiIENERA5xZgm53UJ++flAaqq87exZoEkTl/pJdYPqU0snT57EI488gujoaEREROCGG27A9u3bTceFEJgyZQri4uIQERGBtLQ0HDp0SMUeExGRI+xuaTB2rDyISU+XppIYxJBCqgYy586dQ+/evRESEoJVq1bh119/xWuvvYYmNf4HnJOTgzfffBPvvvsu9Ho9GjRogP79+6OsZj0BIiI/Z74Jo7s2ZfTUdR25v7Vdv7dtvihV4507t/rA6tXAF194p2MUOISKdDqd6NOnj83jVVVVIjY2Vrz66qumtuLiYhEWFiY++eQTRfcwGAwCgDAYDC73l4jIE7KyhJCGIaRXSor8fVaWb13XEbm58nsCQvTB9xaNk8fx39Ekp/T7W9URmS+//BI9evTAfffdh+bNm6Nbt2744IMPTMePHj2KwsJCpKWlmdoiIyOh1WqRl5dn9Zrl5eUoKSmRvYiIfJW1EYutW+Xvc3IcH0Hx1HUdZb40ez4y8QP6mt4vxiPQQGDGnMZeGyWiwKJqIPPbb7/hnXfeQZs2bbBmzRqMHj0aTz/9ND788EMAQGFhIQAgxqyCY0xMjOmYuezsbERGRppeCQkJnn0IIiIX2Coy5+x5nr6uo4xLthvgPAQ0yMR/TMduwXcYisVe6wsFJlUDmaqqKtx444145ZVX0K1bN4wcORKPP/443n33XaevOWnSJBgMBtPrxIkTbuwxEZF7KS0m52jROU9d1xmz7tiA82gka2uIUmzCLV7vCwUeVQOZuLg4dOjQQdbWvn17HD9+HAAQGxsLACgqKpKdU1RUZDpmLiwsDI0bN5a9iIh8lbUic+acKTpn7brm13B7MTtrHnoIqJEegMcfB4TAmKyG3u8LBSRV68j07t0bBw4ckLUdPHgQLVu2BAAkJSUhNjYWGzZsQNeuXQEAJSUl0Ov1GD16tLe7S0TkEcYic6tWAdOnWx53dlNGa8Xr7NZzcSeDAYiKkrf98APQp4/NvhE5Q9VAZsKECejVqxdeeeUV3H///di6dSvef/99vP/++wAAjUaD8ePH46WXXkKbNm2QlJSEyZMnIz4+HoMHD1az60REbqXVemZTRvPidc4Us3PYqlXA3/8ub7t40aJyr1f6QgFP1aml5ORkrFixAp988gk6deqEGTNm4I033sDDDz9sOicrKwtPPfUURo4cieTkZJw/fx6rV69GeHi4ij0nInI/r23K6EmDB8uDmKeekhZYm28/QOQmGiGEULsTnlRSUoLIyEgYDAbmyxCRz9Pp5MumdTpg5szq916bGrLDah/OngWioy1PTEnxev8oMCj9/uZeS0Tk13zhi92dfbGXO2Ie5GRlSed7k9U+9PqvNBJTU1kZEBbm1b5R3cQRGSLyW77wxe6tvuj10j5F5vLzvRfAWevDGtyBO7CuukHNPwIFFKXf36pvGklE5Axbe/ioUR3WG32xlwjsLTXv1RRnIKCRBzE7dzKIIa9jIENEfskXvthru6c7++ILicDGe92HpTiD5qZ2ERQElJcD3bp5rzNXeXsTTPI9DGSIyC/5whd7bfd0tC/2vpStFbjzdhE5bYrAby1uwlI8YGpb32sKNJWVQGio9zpylU4nTXUNHSr91Om83gXyAQxkiMgv+cIXuzv7ouRLedYsKScmN1f6WXM1k8cVFgJBQUj640dT088f7UHaFisV/LzAl6YWSV1M9iUivxYIq5Z8IZHXrsWLpQjLqGFD4Nw5oJ56C1/Nu2SUmwtkZHi/P+R+XH5NRHWCL1WHdbYvq1ZZb585E3j+ee8/nykgayOgHdNDSuI1euUVYNIk73bICl+aWiR1cWqJiMhHrVzp/dwP4xTXpKF/QJsaJA9i9u/3iSAG8K2pRVIXp5aIiFRma2qpJm9MMxn78RgWYAFGmNovN2mOkDOngOBgz3bACb40tUjuxToyRER+wtrogjlvLCs/eEDgV7SXBTET8Ro+nVPkk0EMIP3uMjIYxNRlzJEhIvIBxq0JVq0CpltZCOTx3I9jx5AxrJWsqTUO4ze0Rr7ZvfX66ryeAQMYRJC6GMgQEfkIY7LwpUuWG0d6NFiYOxcYO9b09ihaoTWOQCDI4t7mWzFMn+74rgScDiJ3Yo4MEZEP8sqXfVUVkJQEHD9e3TZ3LvTdn7R6b3u5PEpzeHxpfyzybVx+TUTkxzy+rPzwYaBNG3nb778DLVtCC+v3tpenc/Bg7f21VcQuPZ0jMxylch6TfYmI6prXXpMHMR06SKMzLVva/Zi9PB0lOTy+tD+WL+FWC65hIENEVFdUVgLNmgHPPlvdNn8+8MsvgEZT68dtra5SmsNTUWG9vS4XseNWC67j1BIRUV2wfz/Qvr2saeeXf+CX4r+hrV75dEbN1VWA8lVL5rkxNdvr8lSKvVGquvx7cQQDGSKiQPfKK8CLL1a/79EDulu2Iucf1aMwjiTdOpq/Y23UAZAGgzIzlV8nEHGrBddxaomIKFBduQI0aCAPYhYvhv7tbch5VT6V5MnpDFujDqGhnrmfP+FWC67jiAwRUSDaswfo3FneVlAAxMbi4GLrH/HUdAZHHewzTtdx1ZJzOCJDROQlej2weLEXEjknT5YHMX37SquSYmMBeD+w4KhD7bjVgvM4IkNE5AVeKQRXUQGEhcnbli4F7rtP1mQMLLxZPZijDuQprOxLRORhtiriunVH6507ge7d5W1nzgBNm9rtFwML8lXc/ZqIyEd4vBBcVpY8iOnfHxDCbhADuHc6w2vTZkRmOLVERHWWt0YkbOWerF0rBRJOKysDIiLkbStXAoMGuXBRxzkybcZRIHI3jsgQUZ3kzbLwxpEPc0uWuDCCoddbBjFnz3o9iHGkMi1L8ZMnMJAhojpHjbLwt99uvd2p6aWnnpIn3QweLE0lNWniTNdconTajKX4yVMYyBBRnaPG5oVuWfJ88aK0J9Lbb1e3rVoFrFjhUt9cofS5uGEkeQoDGSKqc9Qo0OZyLZUff5Sq9NZUXAzceac7uuc0pc/FonjkKQxkiKjOUatA26xZ0pLr3Fzp58yZCj84YgRw003V7x96SJpKioz0SD8dpeS5WBSPPIV1ZIiozvL5FTTnzwONGsnb1q8HbrtNnf64gc//zsln+EUdmWnTpkGj0che7dq1Mx0vKyvDmDFjEB0djYYNG2LIkCEoKipSscdEFEh8uiz8d99ZBjGlpX4dxAA+/jsnv6T61FLHjh1RUFBgev3444+mYxMmTMBXX32FZcuWYfPmzTh16hTS09NV7C0RWePrxdB8qX+K+vLII7KA5fTdmVicK6D/paHz13RHv9x4P18RSM9SZwkVTZ06VXTp0sXqseLiYhESEiKWLVtmatu3b58AIPLy8hTfw2AwCADCYDC42l0isiIrSwgpYUN6ZWWp3SM5X+pfrX0pLpafAIh5//ze7mdceb78fCFyc4XIyFB+DV/6fboqkJ4lECn9/lY9kKlfv76Ii4sTSUlJ4qGHHhLHjh0TQgixYcMGAUCcO3dO9pnExEQxe/Zsm9csKysTBoPB9Dpx4gQDGSIPyc+3+N4VgNTuC3ypf7X2ZdUqi4NbN12w+xlXns/8S1zJNXzp9+mqQHqWQKU0kFF1akmr1WLRokVYvXo13nnnHRw9ehQ33XQTSktLUVhYiNDQUERFRck+ExMTg8LCQpvXzM7ORmRkpOmVkJDg4acgqrt8vTaIL/XPbl/S04EBA6obx44FhMD+4/XtXsvZ57NWnE7JNXzp9+mqQHqWuk7VvZYG1Pg/bufOnaHVatGyZUssXboUEealtxWaNGkSJk6caHpfUlLCYIbIQ3y9Nog3+1fbahxr94zCOWQMvUbeWGNLbHv91+uBI0esH6+osN9XJV/W1u7t639vRwTSs9R1qif71hQVFYW2bdvi8OHDiI2NRUVFBYqLi2XnFBUVITY21uY1wsLC0LhxY9mLiDzDk7VB3JGE6Uj/XLmfkj2Eli+Xv78bX+IczIKYS5dknbPV/+XLpftMn269PyNG2N/HqLYva1u/o0CqBRNIz1LneWmqS5HS0lLRpEkTMWfOHFOy7+eff246vn//fib7EvkgY9Kou/IL3J2EWVv/XE2YrS3Xwvycb3GnvOG55xT339b9HM33MH/mjAzlf0N3/73VFEjPEmj8Itn3mWeeEZs2bRJHjx4VW7ZsEWlpaaJp06bi9OnTQgghRo0aJRITE8V3330ntm/fLlJTU0VqaqpD92AgQ+RfvJ2E6er9cnOtfz431/KcaJyxPHHHDof6a+t+tfXB1rPzS5x8ldLvb1VzZP744w/885//xF9//YVmzZqhT58+yM/PR7NmzQAAr7/+OoKCgjBkyBCUl5ejf//+mDdvnppdJiIPs5eE6Ylhf1fvpyTXom1b4F4swzLcLztn6w/lSLkxVGFP7d/PmXO1Wk6lkP/jFgVE5FP0ein/w1yNHFifu59OJ18FdOed0qbUAKTBkX79gO+/Nx2fgX/hgm6G8r2WarlfRgZw9izwzTfyc5y9PpEv8IstCoiIzHk7CdMT91u9+urnCwuBoCBZEHMDfsYUzIAr/wlZc5PGRx6RkpSNQczAgQ5uSEnk5zgiQ0Q+ydubCzp7P1sjOg9jCZYgw/T+PBogCsWorFH1wtVRJm+PXhF5k9Lvb1VzZIiIbPF2/oaz97PMsRHYhmT0wA5Ty657X8KNn79o9bOuPKO384mIfBEDGSI/4e0RCk8JlOcwqplQG4+TOIkW8hP27UOFoR3wuf3POvN7YVE3IubIEPkFJQXX/EGgPEdNxhybR/EfWRBztl4z4MoVoF07q3k4GRlS4KLXO/97YVE3IubIEPm8QMmDCJTnsCAE0LEjsG+fqUl//2vQfjbR4lTjqMu6dVKCrj2O/F4CbZSLCGCODFHACJQ8iEB5Dpljx4BWreRthw5Be911Vk83PufQobVf2pHfC+vBUF3GqSUiHxcoeRCB8hwm8+bJg5jERKCyErgaxNjau0np7sp++3sh8jIGMkQ+LlDyIALlOVBVBSQlAWPGVLe9/bY0OhMk/SvVXs6LkgDF2d+LOzbaJPI3zJEh8hOBkgfh189x5IhpxMXk6FHZyIySXCDzyrw6HXDPPa79XsyvmZUlFc4j8ldKv78ZyBARKfH668DEGgm87doBv/4KaDSy0xYvtp4Dk5srrVQycmdAF7CJ1FSnMdmXiMgdKiuB+Hjg9Onqtg8+AEaMsHp6RYX1y1RUWAYv7goyAjKRmkghBjJERLbs3w+0by9vO3ECaFFdL8Y8OAm1sZn1ihXy2Me4R5I7OJpI7dfTe0RmmOxLRGRNdrY8iLnxRinRt0YQYy2p11bwUHNnagBYskTZMmwlli+3bLOVMByIRQmpbnM4kBk2bBi+r7GTKxGRGjy2QufKFaBhQ+CFF6rbcnOBHTtk+TB6vTy5Fqh+b746a+BA67dyR/+t9QOQkoeVnJuTw1VO5N8cDmQMBgPS0tLQpk0bvPLKKzh58qQn+kVEZJPHRhX27gVCQoALF6rbCgrkWbpX2ctLmTVLSrTNzZV+Tp5s+5ZK68o4+nlr7Y6cS+QvHA5kVq5ciZMnT2L06NH47LPP0KpVKwwYMACff/45Ll++7Ik+EhGZeGxUYepU4IYbqt/36SNNJcXGWj29trwUrVaKf4xJvY88Yv38iorqkRlnRpkcyY8JuKKERAAgXLRjxw4xduxYER4eLpo2bSrGjx8vDh486Opl3cZgMAgAwmAwqN0VInKD3FwhpA2O5K/cXCcvWFEhRFCQ/GKffaboo1lZ8o/pdPbPz8iQn6/VWn8WQLq2Uo70w9E+E6lF6fe3S3VkCgoKkJubi4ULF+KPP/7AkCFDcPLkSWzevBk5OTmYMGGC+yIuJ7GODFFgcWvNlF27pCTemk6fBpo1c6g/jqwAMp5fUWFzBbeJpzaO5Kol8gceK4h3+fJlfPnll1i4cCHWrl2Lzp07Y8SIEXjooYdMN1qxYgUee+wxnDt3zrWncAMGMkS+xR1fotYq486c6eJFbr8dWLvWuQ45wVbhvJrMi+gR1SUeK4gXFxeHqqoq/POf/8TWrVvRtWtXi3NuueUWREVFOXppInITX/0vbneV0U9PByIipH8eMMDBZywvB8LD5W0rVwKDBjneERcoyUth7gpR7RwOZF5//XXcd999CDf/F0ENUVFROHr0qEsdIyLn+OqeO7aSdNPTHQtEzJ/v0iUHPr91q+XJf/0FXHON8g64iXETTWtLpwHPbajpq0EukbO41xJRAPHlPXeU7kFkj0vP9/TTwFtvVb8fNEgaiVFZzcAC8GyQ4atBLpE13GuJqA7y5T133LH016nnu3QJqF9f3vbtt9KclA8w33PJU38nd42IEfkablFAFEB8uU6IcSqlJkenTxx+vi1bLIOY4mKrQYzHKgX7CBbDo0DFQIYogLgjWPAk84q3jq40cuj5Ro6UitoZPfigVDolMtLi1Lqw/5AvB7lErnA4R+b7779Hr169UK+efFbqypUr+N///oe+ffu6tYOuYo4M1UWBntBp9/kuXJD2Sqpp3TogLc3mtXw1r8jd3LJsnchLPFZHJjg4GAUFBWjevLms/a+//kLz5s1RWVnpXI89hIEMUR2ycSNw663yttJSy8CmBnckIfuTQA9yKXAo/f52eGpJCAFNjR1gjf766y80aNDA0csREblHRoY8iHn0UWkqyU4QA9S9KZeae0ARBQLFq5bS09MBABqNBsOHD0dYWJjpWGVlJX7++Wf06tXL/T0kojpJ8chBSYll3sv33wM33aToPtbqufhSXhER2ac4kIm8+i8KIQQaNWqECGNZTQChoaHo2bMnHn/8cff3kIjqHMX1TtasAe68U9524YLlSqVazJolLUPmlAuR/3E4R2b69Ol49tln/WYaiTkyRP5FcfLtvfcCX3xR/f7JJ4G5cz3ePyLyDo/lyGRlZclyZI4dO4Y33ngDa13cbG3mzJnQaDQYP368qa2srAxjxoxBdHQ0GjZsiCFDhqCoqMil+xCRb6u13sm5c4BGIw9i8vIYxBDVUQ5X9h00aBDS09MxatQoFBcXIyUlBaGhofjzzz8xe/ZsjB492uFObNu2De+99x46d+4sa58wYQK++eYbLFu2DJGRkRg7dizS09OxZcsWh+9BRMCCBcC2bUB0NNCunevTKJ5YAWM3+farr4B//EN+4NIly00g3cxfVvr4Sz+J3Eo4KDo6Wuzdu1cIIcQHH3wgOnfuLCorK8XSpUtFu3btHL2cKC0tFW3atBHr1q0TN998sxg3bpwQQoji4mIREhIili1bZjp33759AoDIy8tTfH2DwSAACIPB4HDfiLwtP1+I3Fzpp7ulpAghLeORv7KynLteVpZ7rqPk2jqdEGLAAHnjM8+474YO9MWdz+lO/tJPIqWUfn87HMhERESIY8eOCSGEuO+++8S0adOEEEIcP35cREREONzRoUOHivHjxwshhCyQ2bBhgwAgzp07Jzs/MTFRzJ492+b1ysrKhMFgML1OnDjBQIb8gie/iObPtx7EGF+OBk75+e65Tm33yM0VYvvqM5Y32r7dfTeqpQ+efk538Jd+EjlCaSDjcI7Mddddh5UrV+LEiRNYs2YN7rjjDgDA6dOnHU6m/fTTT7Fz505kZ2dbHCssLERoaCiioqJk7TExMSgsLLR5zezsbERGRppeCQkJDvWJSA22NvRz174/27bZP+7ofjve2LdHqwUy6n+B7nc2kx8oLwe6d3ffjezwl/2J/KWfRJ7gcCAzZcoUPPvss2jVqhVSUlKQmpoKAFi7di26deum+DonTpzAuHHj8NFHHyHcjfPbkyZNgsFgML1OnDjhtmsTeYqnv4iSk+0fd7T4mzNF5BzelLFfP2llktGLL0oDDaGhSrvpEGv985dief7STyKPcGa4p6CgQOzcuVNUVlaa2vR6vdi3b5/ia6xYsUIAEMHBwaYXAKHRaERwcLBYv369U1NL5pgjQ/7AG1MDtnJkdDrnrmc1j0XhuXanzU6dsuzkTz8510mF7PXPkedUk7/0k0gppd/fDteRMTp8+DCOHDmCvn37IiIiwubWBbaUlpbi2LFjsrZHH30U7dq1g06nQ0JCApo1a4ZPPvkEQ4YMAQAcOHAA7dq1Q15eHnpaKzRhBevIkL/wxoZ+aqxacmhTxkmTZA99JTQCO78zIKV3iPOdrIWS/vnLaiB/6SeREkq/vx1efv3XX3/h/vvvx8aNG6HRaHDo0CFce+21yMzMRJMmTfDaa68puk6jRo3QqVMnWVuDBg0QHR1tas/MzMTEiRNxzTXXoHHjxnjqqaeQmpqqOIgh8ifeqC6bmSm93EWrrb2f9qbNTJ8VAgiSz3T/CzPwcsW/gD52Kvu6gZL+KXlOX+Av/SRyJ4dzZCZMmICQkBAcP34c9WuUAX/ggQewevVqt3bu9ddfx1133YUhQ4agb9++iI2NxfLly916DyJfEogb+tWav7F/v0UQ0xeb8TL+ZXrvzsRnh/tHRD7N4RGZtWvXYs2aNWjRooWsvU2bNhZTRY7atGmT7H14eDjmzp2LuazYSeS37G7K+PTTwFtvyc5f8p8K/PCY5VSSbATnKr0eWLVK+ucBA5wLALlpJJF/cziQuXDhgmwkxujs2bOyHbGJiIwsps1SBKAxGxBOTwe++AJtbIy8mI+QmOcUTZ/u/BRUXds0krk0FEgcnlq66aabkJuba3qv0WhQVVWFnJwc3HLLLW7tHBEFDtO0Wf09FlNJyM+X751UC2t1dwDXpqACcVrPGp1OSm4eOlT6qdOp3SMi1zg8IpOTk4PbbrsN27dvR0VFBbKysvDLL7/g7Nmz3AOJiOwbMUJaOlXTlStAcLDprZLkW3v1daxNQZHEVuHF9HT+zsh/OTwi06lTJxw8eBB9+vTBoEGDcOHCBaSnp2PXrl1o3bq1J/pIRFc5XFTOA9dy6nNVVdKO1TWDmIwMabVSjSAGUJZ8ay8R1xNJuu78vXviekqxAjAFJEcL1Bw7dkxUVVXZPOZrWBCPAoU792Jy9lqOfM64V9LPi7ZbFrjbtcuh+xiLu9XcVNP8HE8VgXP3Hlhqbu7IPZnIn3hs08igoCBRVFRk0f7nn3+KoKAgRy/ncQxkKBC48wvI2Ws58jnjl/XHeNDyAzUqgtd2v5o7gVsLAPLzhZg6VXp54svY3V/8vhBIsAIw+Qul398O58gIGxV8z58/79Y9k4iomqKich6+ltLP6fXAazlXICBfQl10zyjELH9HcT9rFnezl9sxbZriSzrMnb93T1zPGXVthRYFPsWBzMSJEwFIq5QmT54sW4JdWVkJvV6Prl27ur2DROS+om16PXDkiHPXsnV8+XKgoqK6YvC5b/6HK+gtO6cj9uL5ezoiw6wvSr9MXQkAXFlq7O5ieb5SfI8VgCmQKE723bVrF3bt2gUhBPbs2WN6v2vXLuzfvx9dunTBokWLPNhVorrLWLStJqVF24yJpRkZ0nLb6dMtz1FyLWt9AICVK6XFSFotgLvvxp0z5EGMBlX4FR1lX9aOLgF2NgBwdamxtWceONCxa9R2PRbfI3KRo3NWw4cP96t8E+bIUCAxzxupjbWEWFdzNPLzhcjMlH8+BOUWF30Vz1i9h7N5Io7mdrg7r2jgQPcl6Tr6dySqi5R+fzu8/HrhwoXcRZpIJY4UbbNVNM4aR5bfarVAvRqT0v2wERWQV/Vug4N4Dv9n9R7OLgGeNUuqm5ebK/2sbWdwdy81/uYb+XsW3yPyDQ4HMkTkHxz5wnY0RyM5Wfr5HW7BRtwqO6bPq8JhtLF5D1fyRBwJANyZj8L6K0S+i4EMkR9xpJCa0i9sZ3I0Mh8ug4AGt2CTqe0/8f8ChIC2p8ZuHoi38kTceR9fSdIlIksaIYRQuxOeVFJSgsjISBgMBk6JkV8z3yRRyQaJ5p/JyABuv11aZRQa6uTy29Wrpa2ma/hs5lE8oGsla6tttZC3Ni50133Mf5c6Xe3TW0TkPKXf3wxkiPyAXi+tujGXn+/Z5ccWkpOB7dvlbVf/FVIXdlSuC89I5CuUfn87XBCPiLzPlToqbqkZcvEi0KCBvC07G3j+eQDOjRb5I9ZfIfI9DGSI/ICjORoLFgBffw1ERwOPP2755WscWbA2xWQx6rByJXDPPfIL/PEH8Le/Qa8HPvjAckPrnBzp88YieZ4eyeBICVHdxUCGyA8YE1fNczSsfWlrtcDWrdXvFyyQj5CYj54YGRNjax4ruqYdmp89ID/x6lSSresYjRhRPZLkydGaujIaRETWMUeGyI/UNvKwYIEUQFiTny/9tJZrY64hSlEKs/+/vPEGMG6cqR9KrmOLktweJVzJHSIi38YcGaIAVFuOxrZtto8prXnyAD7Fp/invLGwEIiJcfha9vrijkDDFzZhJCJ1sY4MkY9zpHaMsVCdNW3b1l735CTiZUFMJYKgzxeyIMZ4LVe4q/4K67sQEQMZIh/m6KaHmZlAbKz16xhHc6xt/BiJYghoEI8CU9tIvIcXdZU283CsXcf83IEDgUcesd4Xd3Bn0TtHAkYi8h3MkSHyUc7kfyj9TM1VS+30i9D7g0dl538290+06h6tqEbNqlXSPw8YIN1DrwdmzJDvTWQsxOerq5aYMEzke1gQ7yoGMuSvFi+WRmLM5eZKgYFbPtO4MVBaWv0+Kgo4d86Z7pr4WwKuv/WXqK5Q+v3NqSUiH+VM/oetY0eOyKdMdqz5E9Bo5EFMbq7LQQzgfxss+lt/iUiOgQyRj3Im/8NW7sr06dU5NsvveBfd72wmP6G42PYwj4P8LQHX3/pLRHIMZIh82KxZ0hRHbq70U8kmhenpdq6Xo0H6utGm97+jJTQQ0O+PdENvJd7a3dpd/K2/RCTHOjJEPs7R/X2sTYnEoBCFiJO13Yel+Bz3mT7jzi/uWbOkgMpftg3wt/4SUTUGMkQBxnxKZAJmYzaekbU1RCkuoKHNz7iDv22w6G/9JSIJAxmiAFNzXyYBjezYH5EdMarPXlyosTTaOI1ibyNJJbhxIxGpgcuvifyIrWDBov3ECSAxUfbZ2f2+xDOb7ja9HzgQmDxZOt/eRpJK6qmwDgsRuRvryFzFQIYCha1gwbx9dZ+X0P/HybLPbt10Edp+ERbXVLKRZG31VFiHhYg8wS/qyLzzzjvo3LkzGjdujMaNGyM1NRWrjGVCAZSVlWHMmDGIjo5Gw4YNMWTIEBQVFanYYyJ16PWWIyY5OdJu1zXbBTTyIEarBYTAgeOWQQwgjeLUVi/F2eOsw0JE3qBqINOiRQvMnDkTO3bswPbt23Hrrbdi0KBB+OWXXwAAEyZMwFdffYVly5Zh8+bNOHXqFNLtrS0lvxWI+9wsWACMGiX9dJWtoMC423USfrPIh8GaNUB+PhYsAJYvt/55JRtJVlTY/9uwDgsRqUr4mCZNmoj58+eL4uJiERISIpYtW2Y6tm/fPgFA5OXlKb6ewWAQAITBYPBEd8kNsrKEAKpfWVlq98h1KSnyZ0pJce16+fny6xlfL7wgxEt4weKA/vsyq/2o+dLpqq9v/jcwvrRaZX8b8/tota49LxGR0u9vn8mRqaysxLJlyzBs2DDs2rULhYWFuO2223Du3DlERUWZzmvZsiXGjx+PCRMmWL1OeXk5ysvLTe9LSkqQkJDAHBkfFYj5FQsWACNGWLbPny/tTu0srRbYurX6fVyswKlC+aDqOqRhg24dZs603Y/MTODxxy1/v+arlioqrH/e2gaUgfY3JCL1+UWODADs2bMHDRs2RFhYGEaNGoUVK1agQ4cOKCwsRGhoqCyIAYCYmBgUFhbavF52djYiIyNNr4SEBA8/AbkiEPMrjNM9StuV0OvlQUxbHLAIYvpiM47PX2eq/vv119av9ddf1gMMrVbapSAzU/oZGmr98+Z/m0D8GxKR/1A9kLn++uuxe/du6PV6jB49GsOGDcOvv/7q9PUmTZoEg8Fgep04ccKNvSV3C8T8iuRk6+1XrjiXA6TXAwsXVr9/HeNxAO1k54SgAj+gL2r+z72y0vr1bLWbU/q3CcS/IRH5D9UDmdDQUFx33XXo3r07srOz0aVLF8yZMwexsbGoqKhAcXGx7PyioiLExsbavF5YWJhpFZTxRb4rEPe5ycwEUlIs2xcsqN64USmdTvrMe+8BgICABuMxx3R8BQZDA4ErCAEgbQ5pvP6NN1q/pq12c0r/NoH4NyQi/6F6IGOuqqoK5eXl6N69O0JCQrBhwwbTsQMHDuD48eNITU1VsYfkbs5sjOjr9HopJ2bwYMtjOTnKRmZqLrnuiL0QZv93fSgpD+lYYfP6tmZVHZltVfq3CcS/IRH5B1W3KJg0aRIGDBiAxMRElJaW4uOPP8amTZuwZs0aREZGIjMzExMnTsQ111yDxo0b46mnnkJqaip62qveRX4pEPe5ycyU8kxWrrQ8pmSTRmOOyXsYiZH4QHZMv+UKBhwJxidDbX/WVo6LrXZblP5tAvFvSES+T9VA5vTp0xg6dCgKCgoQGRmJzp07Y82aNbj99tsBAK+//jqCgoIwZMgQlJeXo3///pg3b56aXSZyiCv5I22vq4JAsKxtCR5Gm/wlUsAQbP1ztV2fuStEFEh8Zvm1p3CLAlKb+RYCNfc4smnnTqB7d1nTjdiB2AE3IjFRSijOzLS+R5JOVz21Y3685jGlmzxyM0giUoPi728v1LRRFQvikS/Izxdi4ECFhf8eesiiMp0GlRbF6oxF9u680/518/OFyM2VfhopLUIYiMUKicg/+F1BPE/hiAz5AkVF4yorgXry2d73MBKj8J7N6/bsWb3xo83rOtMXB84jIvIEvymIR1QX1Fo0Li/PIoj56pU9doMYwHoQY+9+ivri4HlERGpSNdmXqK6wm/Q7aBDw5ZfyA1VVaL5VY/UzSu9nK7eFhe6IKJBwRIbIC6wVjZv07GVoe2rkQcyECVI6ikYDrdZ6YT2jjh2tt2dkSLtd9+wJDB1qWYSPhe6IKJAwR4bIi4yjJN1LN6HDmFtkx1bOOoC4m9uaAgVbOSqDBwN33QV06gTMmAF88031sYwMYMwY5TkwXLVERL5K6fc3p5aIvEirBbQv3AZ8952sXYMqQCdNJWVlSZVybeWipKcDe/fKd6auuaR78WLrnzMvwsdCd0QUCDi1RKSAXi8FCLVtLWD3vPJyQKORBTEnh78IDQSA6nyYnBxpX6bNm63fY/Nmy9oxNUdlmNtCRHUJAxmiWhg3brSWb6L4vDVrgPBw+Qd++w3f3fqS1WuNGCEFM9bYajeO4DC3hYjqEubIENnhlporT2uBrVvlB67+387W55zhbA4MEZEvYh0ZIjdwpeZKBC5Kq5JqBjEvv2wKYgApwMjIcL2ftlYdZWQwiCGiwMZkXyI7nK25cje+xJcYJG88cQJo0ULWpNPZTs5VYupUYMAABitEVHdxRIbIDq0WeOQReVttNVd+QQeLIGbBfIFRL7WQ5bfo9ZZJu7YMHGg5cqPTAdOmMYghorqNIzJEduh0wJIl1e8zMqp3jzYXWl4KAfk87le3vo6Xzo/H1qtLpd97D3j//er8ldrccAOwZ0/1qqRHHgHuuIN5L0RERkz2JbLBkU0TD730GdpMflDWFosCFCHW6rXnz5cK2tlL9M3IsD7txE0biaguYLIvkYsUb5qYkCALYqqggQbCZhADANu2WV8mXdO11zrWLyKiuoiBDJENtSb6FhdLBe7++MN07Am8i2BU1Xrt5GTp56xZUsKuO/pFRFQXMZAhssFuYbkPPwSaNJEdmz72DN7HExbnm2/8qNUCmZnVVYATEqzff8AAFrYjIqoNc2SIamFRWC4qCjAYqk9o3Nj0Xq8HVq2Smmsui16wQJpOSk6WghidTr5iKSVFXm5Gp6tOKmZhOyKqi5R+fzOQIVLqzz+BZs3kbYsWAcOGOXQZW0nE8+cDoaEMWIiIAO5+TeRe770HjBolbzt3ThqdcZCtZN3QUOtVfmsbkeGIDRHVZQxkiGoTFCTbVgAtWkhVep3kyO7U5lNQWVlSgrDS40REgY7JvkS2FBVJq5JqBjGffeZSEAMo353aWuXfnBypXclxIqK6gIEMkTVvvAHEmtWBKSkB7r/fLZefNUsqbJebK/20Vi24tjo2iuvcEBEFME4tEZnTaOTv27cHfv3V4jRXc1O0Wvufq20KypEpKiKiQMURGSKjP/6wDGL++1+rQYxOJ608GjpU+qnTub87tU1BKZ2iIiIKZFx+TQQAr7wCvPiivO3CBaB+fYtTHdmDyR24aomI6iIuvyZSynwUJjlZXp3OjK0clFWrPBNQ1DYFVdtxIqJAxqklqruOHrUMYlavthvEALZzUKZP9+xUExERWWIgQ3XTv/5lub10WRnQv3+tH61t12qAy6CJiLyFU0tUtwghFbir6dZbgQ0bHLrMrFlAero0lXTkiDQaY+7gQU75EBF5GkdkqO44eNAyiNm40eEgxkirlbYUGDDA+nEugyYi8jxVA5ns7GwkJyejUaNGaN68OQYPHowDBw7IzikrK8OYMWMQHR2Nhg0bYsiQISgqKlKpx+S3Jk4Err9e3lZRAfTr5/KluQyaiEg9qi6/vvPOO/Hggw8iOTkZV65cwQsvvIC9e/fi119/RYMGDQAAo0ePxjfffINFixYhMjISY8eORVBQELZs2aLoHlx+HZgULzm2NpX0j39I9WHU6hMREdVK6fe3T9WROXPmDJo3b47Nmzejb9++MBgMaNasGT7++GPce++9AID9+/ejffv2yMvLQ09rxTzMMJAJPIo3SvzlF6BTJ3nb//4HpKZ6tH9EROQ6pd/fPpUjYzAYAADXXHMNAGDHjh24fPky0tLSTOe0a9cOiYmJyMvLs3qN8vJylJSUyF4UOBRvlPjEE5ZBzJUrDGKIiAKMzwQyVVVVGD9+PHr37o1OV7+ACgsLERoaiqioKNm5MTExKCwstHqd7OxsREZGml4JCQme7jp5Ua0bJVZVSbVh3n+/+uA//ylNMQUHe7x/RETkXT4TyIwZMwZ79+7Fp59+6tJ1Jk2aBIPBYHqdOHHCTT0kb9DrgcWLbddgqaiw3t62LYBduyyDlR07gI8/dmsframt30RE5Bk+EciMHTsWX3/9NTZu3IgWLVqY2mNjY1FRUYHi4mLZ+UVFRYiNjbV6rbCwMDRu3Fj2Iv9Q20aMOh0wYoT1z2nfegS48Ub5gcpKyzYn2QtUvLGBJBER2SBUVFVVJcaMGSPi4+PFwYMHLY4XFxeLkJAQ8fnnn5va9u/fLwCIvLw8RfcwGAwCgDAYDG7rN7lffr4Q0vyP/JWfb//4gvevWDaOGOHWvmVlyS+flaW830RE5Byl39+qjsiMGTMGS5Yswccff4xGjRqhsLAQhYWFuHTpEgAgMjISmZmZmDhxIjZu3IgdO3bg0UcfRWpqqqIVS+Q/ast9sXZci3w8NtKsOPXPPwMffOC2ftWWXFxrzg4REXmUqlsUvPPOOwCAfmZFyRYuXIjhw4cDAF5//XUEBQVhyJAhKC8vR//+/TFv3jwv95Q8zVYVXGO7+fHluAf3YKW80Zjo60b2AhWttvZ+ExGRZ6k6IiOEsPoyBjEAEB4ejrlz5+Ls2bO4cOECli9fbjM/hvxXbdVxjcfr4TIENPIgZtw4aUbHzUEMUHugwqq+RETq8qmCeJ7Agnj+xW513O+/B26+Wd62f7/l1gNuZl6AT6cDZs6Un8OqvkRE7uWXlX09gYFMgEhLs9zc0QNTSbYwUCEi8i6l39+q5sgQ1aq8HAgPl7dNmgS88opXu6HVMoAhIvJFDGTIK/R6YNUq6Z8HDJAHBQsWANu2AcnJQGZm9fmlX6xF2qv95Rf67TcgKck7nSYiIp/HqSXyOPMcE6B6o0etFti6tbo9JQXo1w8YnJOKVOTLPqOBsL1BJBERBRTmyFzFQEZdCxZYr8YLAC+8YDlDFI5LuIT6srZ/YQZexr9M7/PzOc1DRBTo/HL3awostrYUMDLfwPwufGURxCTguCyIAVhsjoiIqjFHhtzGuLKnogI4ccJyOslcaiqwcaP0z3vQCZ3wi+y4BtYHC1lsjoiIjBjIkFtYy4Op7fyXXwa2rDmPTTsayY5NxGt4HRNtfo7TSkREZMRAhlxmbT8iW+6+G3jxxavByLJl2LTjftnxnd8U4PWBlpWbp061XO3kT1iHhojIMxjIkMscyVm5776rX+QtWwLHj8sPCoEbIa1oMq+kO22aGzqqEvPRKq68IiJyHyb7ksscyVn54xeDVI23ZhAzb560V9JVs2ZJK5Nyc6Wf5tsB+JPads8mIiLXcESGFLE1NWJsf+QRYMkS+9d4BIsxadZQeeOZM0DTphbneqKSrhrTO7Xtnk1ERK5hIEO1sjU1Yt6ekQHcfru0aik0tHqkZtUq4Onp1+AanDOdW4qG+DW/FFrLGMarz+Bpte2eTURErmFBPLJLrwd69rRsnz/feo0Yi2J1f/1lMeIyHAvxIYYjN1cKfjzN1jN4q7Cekt2ziYhIjgXxyC1sTY1s26bg/PfftwhimuAsPsRwAN4blbA3veMNgZTzQ0Tkazi1RHbZCjaSk4H33rN+vl4PJPeqh6CqSlO7oWE8os6fNL13pR6Mo7kuvjC9w92ziYg8gyMyZJdWK+WT1KTTWR/N0GqBtYuLoO2pkQUx+OQTRJaedMuohE4nTRMNHSr91OmcfwYGFkRE/o85MqSI+fYD06dbnvM05mAOxsvaGqEE6/MbuSVocDXXhUXpiIj8h9Lvb04tkSJaLbB8ue0KvgIa2ft9aIcO2AfAfUuNXV3KzOkdIqLAw0AmwLkyCqFkE8h4nMRJtJC1DcYK/BeDTe/dlYti6zpHjkh9ZZBCRFT3cGopgFmrndK2rbTiKDkZyMxU/llrnkc2svGCrK1v9wv4YUd92XXcuUrHXr9Y+p+IKHAo/f5mIBOgbOWT1JSSYr1UvpLPmk8lbUMPpEBakz1/fnVBPE+Mkuj1UpE9a3k63qoNQ0REnsU6MnWckhopW7cCCxY49tmW+N0iiLkTq0xBDCAFMRkZngsotFqgdWvrx7xVG4aIiHwDA5kApTQv5euvlX92OqbgdyTJ2sJxCWtwp1P3doUv1IYhIiL1MZAJUNZqp1gTHS1N1SxeXD3NZPlZAQENpmCGqWUj+kEDgXKEy67nrfosrA1DREQAVy0FtFmzgPT06pVH1vZGKi+X58OYJ8xeh0M4BPkwxy34Dptwi8W15s+3n0DsbjWfj7VhiIjqJgYyAc5YO8VaUi8ALFkif5+TIwUFOTnAq3gWz+I12fFQlOMyQq1eK9R6s0exNgwRUd3GQKaOcCQJdttWAWE26/gV7sI/8JXdzzE/hYiIvI2BjI+pWYTOnUuYlQYZ7fEr3n2/o6ytF7YgD73sfk7pKiVvbBPArQiIiOoOJvv6kJobIo4Y4djGiLVZvtyyLS5OnjA7D6PxK+RBTD1ctghiBg6UXycjQ9oMsjbObPjoKG/cg4iIfAcL4vmI2orQuVLozd61588HOnWogrZXsPzAgw9iQdonVhOE8/Oln46Meri64aMS3rgHERF5h18UxPv+++9x9913Iz4+HhqNBitXrpQdF0JgypQpiIuLQ0REBNLS0nDo0CF1OuthteWwuFLozd5nC1ftsghi3hy6HfjkE2RmStV/azIm12q1jhW9s7fho7t44x5ERORbVA1kLly4gC5dumDu3LlWj+fk5ODNN9/Eu+++C71ejwYNGqB///4oKyvzck89r7YcFkcTaWvWhrH12Q8xFC9+caOsLQiVGJfbHXq9VPV361bL69paAWWPNwrYsUgeEVEdJHwEALFixQrT+6qqKhEbGyteffVVU1txcbEICwsTn3zyieLrGgwGAUAYDAZ3dtcjsrKEACxfOp1r18nKEiIlpfp9EK5Y3GQ+HpM1DRxovS+AELm57nk+R5/LV+5BRESep/T722dyZDQaDVasWIHBgwcDAH777Te0bt0au3btQteuXU3n3XzzzejatSvmzJlj9Trl5eUoLy83vS8pKUFCQoLP58gYubpqqbZcm2RsxVbIL9gZP2EPOiu+h6v5Oly1REREtVGaI+Ozy68LCwsBADExMbL2mJgY0zFrsrOzMd3atsh+wtUCb/byQb5AOtKxQtamQRVgtglkly7ATz9Zv8bAga71zxsF7Fgkj4io7gi45deTJk2CwWAwvU6cOKF2l2TM9zVy5XMLFgCjRsl3sLaWD1IPlyGgkQUxb+IpaCBgHsQAQI8etvsxebJj/SYiIvIknw1kYmNjAQBFRUWy9qKiItMxa8LCwtC4cWPZy1c4W+PE2uc6dZJqzbz3nvTTOAJhvpliH/xgsaVAO+zDOLxp8341A6Oa3DnS4WxAR0REVJPPBjJJSUmIjY3Fhg0bTG0lJSXQ6/VITU1VsWfO0eul/Ytqysmp/Yvc1ud++UXetnVrdQAya5aUx3KyU3/8gL6y8zSowgG0M72/+27HnsEdgQeL1hERkbuoGsicP38eu3fvxu7duwEAR48exe7du3H8+HFoNBqMHz8eL730Er788kvs2bMHQ4cORXx8vCkh2J84W+PEoT2Stl39h4oKaHtqEL93renY3ruetzqVFB+v/PqO9scaZwM6IiIia1QNZLZv345u3bqhW7duAICJEyeiW7dumDJlCgAgKysLTz31FEaOHInk5GScP38eq1evRnh4uJrddoqzNU4cqYGSnAxg3TogLEx+4MgRXPhXtu3POMDVmiwsWkdERO6kaiDTr18/CCEsXosWLQIgLcn+97//jcLCQpSVlWH9+vVo66fVzcxzVwBpSkVJzon53kbWJCUBmf/pDdxxh/yAEMC119q8f2amZXvNPjvTX3tYtI6IiNzJZ+rIeIqv7bXkSI0Tnc5yGsaacFzCJdSXN06fDlwd2VJyf70emDED+Oab6rasLCA93f01WcyfS6cDZs50z7WJiCgwKP3+ZiCjIntBTW2F7YwG4mt8DbOM3WPHgMREh/vizQ0XWbSOiIjs8fuCeIHOfFQiK0tabWSkJGdkN7qgC36WtS3OFchwLIaxe7+DBz0TaLBoHRERuQMDGRXYWrnTtq20LUFFBZCXZ/vzDXAe59FI1vYsXsVreBb5TuaaMHeFiIj8EQMZFdga/RgxovbPDsHn+Bz3ydricAqFiHNplMOYDGyeu8JREyIi8mUMZFTg7CjHEVyLa3FU1ibVhpEYC9Y5G3zMmuWZ5F4iIiJP8dnKvoFMq1W2pNqoMQwQ0MiCmDF4WxbEGLlaj0WrBTIyGMQQEZF/4IiMlxlX69xzj3ypsy0PYwmWIEPW1gyn8SeaWT3f3TktXF1ERES+jIGMF5mvVEpJkfZIsuUMmqIp/jK9v4D6aIgLdq/vzmCjtpVVREREauPUkpdYW6m0dSvwwguW5zbBWQhoZEHMY1hgN4gBpFEed+GeSERE5A8YyHiJrdyVdu3kWwTcig04i2jZOU1wFgvxmNP3cAb3RCIiIn/AQMZL7NVpmTVLqqD7c6d/YgPSTMcKEQMNBIrRxKV7OIN1ZYiIyB8wkPESu5tGGgzQ9tTghr2fmo71wQ+IQ6HN63XsaONa3ugvERGRj+BeS15msQpo1Srg73+XnROBiyhDhOJrZmQAublu7uhVXLVERERq4KaRV/laICMzeDDw3/+a3r6JpzAObzp1KU9t7khERKQGbhrpy86eBaLlCb0p0GMbUpy+pKc2dyQiIvJlzJHxIL0eWLzYbMnyf/9rEcSMGl7mUhADMAmXiIjqJgYyHqLTAT17AkOHSj91OgB33CFNJxllZQFC4NFRYVavkZFhtdnqvTgaQ0REdRFzZDxAr5eCF6OmOIMzaC4/aedOoFs3q+cb5edLP43Jtrb+mUEMEREFGubIqKhm0bj7sBRL8UB1Q3AwcPEiEBpq9Xzz65hv4Gjrn4mIiOoiTi15gDRiIvAD+siCmD8ypwJXrsiCmOrzbV2HiIiIbGEg4wHaloUQCEIfbDG1TbprD1rMn2b9fBafs8tq0jQRERE4teR+ixdLGb5XlaIhmuAcKr+uhyqd7d2jZ80C0tOZ92KOO3ATEZE9TPZ1FyGAHj2kJN6rJuEVzMQk2WksXKecvSRo/g6JiAKb0u9vTi25wx9/AEFBsiDmeuy3CGIA7h7tCO7ATUREtWEg46r584GEhOr3sbHQb7mCg7je6ulM4FWOSdBERFQbBjLOEgJo3x54/PHqttmzgYICaHsFWyTvAtJ0CKdElGMSNBER1YY5Ms5KTga2b69+f/gw0Lq16S3zO9yHO3ATEdU9zJHxtORk6WerVkBlpSyIAZjf4U5arWVhQCIiIoCBjPPmzZOml44elRJ9zTC/g4iIyPMYyHgI8zuIiIg8jwXxPIhF7oiIiDzLL0Zk5s6di1atWiE8PBxarRZbt25Vu0uKMb+DiIjIc3w+kPnss88wceJETJ06FTt37kSXLl3Qv39/nD59Wu2uERERkcp8PpCZPXs2Hn/8cTz66KPo0KED3n33XdSvXx//+c9/1O4aERERqcynA5mKigrs2LEDaWlppragoCCkpaUhLy/P6mfKy8tRUlIiexEREVFg8ulA5s8//0RlZSViYmJk7TExMSgsLLT6mezsbERGRppeCTW3DyAiIqKA4tOBjDMmTZoEg8Fgep04cULtLhEREZGH+PTy66ZNmyI4OBhFRUWy9qKiIsTGxlr9TFhYGMLCwrzRPSIiIlKZT4/IhIaGonv37tiwYYOpraqqChs2bEBqaqqKPSMiIiJf4NMjMgAwceJEDBs2DD169EBKSgreeOMNXLhwAY8++qjaXSMiIiKV+Xwg88ADD+DMmTOYMmUKCgsL0bVrV6xevdoiAZiIiIjqHo0QQqjdCU9Sug04ERER+Q6l398+nSNDREREZI/PTy25yjjgxMJ4RERE/sP4vV3bxFHABzKlpaUAwMJ4REREfqi0tBSRkZE2jwd8jkxVVRVOnTqFRo0aQaPR2D23pKQECQkJOHHiREDn0/A5A0tdeM668IwAnzPQ1IXn9OQzCiFQWlqK+Ph4BAXZzoQJ+BGZoKAgtGjRwqHPNG7cOGD/R1cTnzOw1IXnrAvPCPA5A01deE5PPaO9kRgjJvsSERGR32IgQ0RERH6LgUwNYWFhmDp1asDv1cTnDCx14TnrwjMCfM5AUxee0xeeMeCTfYmIiChwcUSGiIiI/BYDGSIiIvJbDGSIiIjIbzGQISIiIr/FQKaGuXPnolWrVggPD4dWq8XWrVvV7pJLvv/+e9x9992Ij4+HRqPBypUrZceFEJgyZQri4uIQERGBtLQ0HDp0SJ3OOik7OxvJyclo1KgRmjdvjsGDB+PAgQOyc8rKyjBmzBhER0ejYcOGGDJkCIqKilTqsXPeeecddO7c2VR0KjU1FatWrTIdD4RnNDdz5kxoNBqMHz/e1BYIzzlt2jRoNBrZq127dqbjgfCMRidPnsQjjzyC6OhoRERE4IYbbsD27dtNxwPh30GtWrWy+HtqNBqMGTMGQOD8PSsrKzF58mQkJSUhIiICrVu3xowZM2T7IKn29xQkhBDi008/FaGhoeI///mP+OWXX8Tjjz8uoqKiRFFRkdpdc9q3334rXnzxRbF8+XIBQKxYsUJ2fObMmSIyMlKsXLlS/PTTT+If//iHSEpKEpcuXVKnw07o37+/WLhwodi7d6/YvXu3+Pvf/y4SExPF+fPnTeeMGjVKJCQkiA0bNojt27eLnj17il69eqnYa8d9+eWX4ptvvhEHDx4UBw4cEC+88IIICQkRe/fuFUIExjPWtHXrVtGqVSvRuXNnMW7cOFN7IDzn1KlTRceOHUVBQYHpdebMGdPxQHhGIYQ4e/asaNmypRg+fLjQ6/Xit99+E2vWrBGHDx82nRMI/w46ffq07G+5bt06AUBs3LhRCBE4f8+XX35ZREdHi6+//locPXpULFu2TDRs2FDMmTPHdI5af08GMlelpKSIMWPGmN5XVlaK+Ph4kZ2drWKv3Mc8kKmqqhKxsbHi1VdfNbUVFxeLsLAw8cknn6jQQ/c4ffq0ACA2b94shJCeKSQkRCxbtsx0zr59+wQAkZeXp1Y33aJJkyZi/vz5AfeMpaWlok2bNmLdunXi5ptvNgUygfKcU6dOFV26dLF6LFCeUQghdDqd6NOnj83jgfrvoHHjxonWrVuLqqqqgPp7Dhw4UDz22GOytvT0dPHwww8LIdT9e3JqCUBFRQV27NiBtLQ0U1tQUBDS0tKQl5enYs885+jRoygsLJQ9c2RkJLRarV8/s8FgAABcc801AIAdO3bg8uXLsuds164dEhMT/fY5Kysr8emnn+LChQtITU0NuGccM2YMBg4cKHseILD+locOHUJ8fDyuvfZaPPzwwzh+/DiAwHrGL7/8Ej169MB9992H5s2bo1u3bvjggw9MxwPx30EVFRVYsmQJHnvsMWg0moD6e/bq1QsbNmzAwYMHAQA//fQTfvzxRwwYMACAun/PgN80Uok///wTlZWViImJkbXHxMRg//79KvXKswoLCwHA6jMbj/mbqqoqjB8/Hr1790anTp0ASM8ZGhqKqKgo2bn++Jx79uxBamoqysrK0LBhQ6xYsQIdOnTA7t27A+YZP/30U+zcuRPbtm2zOBYof0utVotFixbh+uuvR0FBAaZPn46bbroJe/fuDZhnBIDffvsN77zzDiZOnIgXXngB27Ztw9NPP43Q0FAMGzYsIP8dtHLlShQXF2P48OEAAud/swDw/PPPo6SkBO3atUNwcDAqKyvx8ssv4+GHHwag7ncKAxkKGGPGjMHevXvx448/qt0Vj7j++uuxe/duGAwGfP755xg2bBg2b96sdrfc5sSJExg3bhzWrVuH8PBwtbvjMcb/ggWAzp07Q6vVomXLlli6dCkiIiJU7Jl7VVVVoUePHnjllVcAAN26dcPevXvx7rvvYtiwYSr3zjMWLFiAAQMGID4+Xu2uuN3SpUvx0Ucf4eOPP0bHjh2xe/dujB8/HvHx8ar/PTm1BKBp06YIDg62yCQvKipCbGysSr3yLONzBcozjx07Fl9//TU2btyIFi1amNpjY2NRUVGB4uJi2fn++JyhoaG47rrr0L17d2RnZ6NLly6YM2dOwDzjjh07cPr0adx4442oV68e6tWrh82bN+PNN99EvXr1EBMTExDPaS4qKgpt27bF4cOHA+ZvCQBxcXHo0KGDrK19+/amabRA+3fQsWPHsH79eowYMcLUFkh/z+eeew7PP/88HnzwQdxwww3IyMjAhAkTkJ2dDUDdvycDGUhfEN27d8eGDRtMbVVVVdiwYQNSU1NV7JnnJCUlITY2VvbMJSUl0Ov1fvXMQgiMHTsWK1aswHfffYekpCTZ8e7duyMkJET2nAcOHMDx48f96jmtqaqqQnl5ecA842233YY9e/Zg9+7dplePHj3w8MMPm/45EJ7T3Pnz53HkyBHExcUFzN8SAHr37m1RCuHgwYNo2bIlgMD5d5DRwoUL0bx5cwwcONDUFkh/z4sXLyIoSB4yBAcHo6qqCoDKf0+PphL7kU8//VSEhYWJRYsWiV9//VWMHDlSREVFicLCQrW75rTS0lKxa9cusWvXLgFAzJ49W+zatUscO3ZMCCEtlYuKihL//e9/xc8//ywGDRrkd0sfR48eLSIjI8WmTZtkSyAvXrxoOmfUqFEiMTFRfPfdd2L79u0iNTVVpKamqthrxz3//PNi8+bN4ujRo+Lnn38Wzz//vNBoNGLt2rVCiMB4RmtqrloSIjCe85lnnhGbNm0SR48eFVu2bBFpaWmiadOm4vTp00KIwHhGIaQl9PXq1RMvv/yyOHTokPjoo49E/fr1xZIlS0znBMK/g4SQVrkmJiYKnU5ncSxQ/p7Dhg0Tf/vb30zLr5cvXy6aNm0qsrKyTOeo9fdkIFPDW2+9JRITE0VoaKhISUkR+fn5anfJJRs3bhQALF7Dhg0TQkjL5SZPnixiYmJEWFiYuO2228SBAwfU7bSDrD0fALFw4ULTOZcuXRJPPvmkaNKkiahfv7645557REFBgXqddsJjjz0mWrZsKUJDQ0WzZs3EbbfdZgpihAiMZ7TGPJAJhOd84IEHRFxcnAgNDRV/+9vfxAMPPCCrrRIIz2j01VdfiU6dOomwsDDRrl078f7778uOB8K/g4QQYs2aNQKA1b4Hyt+zpKREjBs3TiQmJorw8HBx7bXXihdffFGUl5ebzlHr76kRokZZPiIiIiI/whwZIiIi8lsMZIiIiMhvMZAhIiIiv8VAhoiIiPwWAxkiIiLyWwxkiIiIyG8xkCEiIiK/xUCGiIiI/BYDGSI/1a9fP4wfP17tbljYtGkTNBqNxUZ5/m7atGno2rWr6f3w4cMxePBgl67pjmsQ1XX11O4AEfmvfv36oWvXrnjjjTdMbb169UJBQQEiIyPV65gXzJkzB0oLo//+++9ISkrCrl27ZMGQI9cgIusYyBCRW4WGhiI2NlbtblhVUVGB0NBQt1zLHYFaoAd7RN7AqSUiP3blyhWMHTsWkZGRaNq0KSZPniz7L/xz585h6NChaNKkCerXr48BAwbg0KFDsmt88cUX6NixI8LCwtCqVSu89tprsuPz5s1DmzZtEB4ejpiYGNx7770ApGmRzZs3Y86cOdBoNNBoNPj9998tppYWLVqEqKgorFmzBu3bt0fDhg1x5513oqCgQPYcTz/9NKKiohAdHQ2dTodhw4bZnXYxXnflypWm/vXv3x8nTpwwnWOcDpo/fz6SkpIQHh4OACguLsaIESPQrFkzNG7cGLfeeit++ukn2fVnzpyJmJgYNGrUCJmZmSgrK5MdN58WqqqqQk5ODq677jqEhYUhMTERL7/8MgAgKSkJANCtWzdoNBr069fP6jXKy8vx9NNPo3nz5ggPD0efPn2wbds203Hj73bDhg3o0aMH6tevj169euHAgQM2f09EgY6BDJEf+/DDD1GvXj1s3boVc+bMwezZszF//nzT8eHDh2P79u348ssvkZeXByEE/v73v+Py5csAgB07duD+++/Hgw8+iD179mDatGmYPHkyFi1aBADYvn07nn76afz73//GgQMHsHr1avTt2xeANC2SmpqKxx9/HAUFBSgoKEBCQoLVfl68eBH/93//h8WLF+P777/H8ePH8eyzz5qOz5o1Cx999BEWLlyILVu2oKSkBCtXrqz1+S9evIiXX34Zubm52LJlC4qLi/Hggw/Kzjl8+DC++OILLF++HLt37wYA3HfffTh9+jRWrVqFHTt24MYbb8Rtt92Gs2fPAgCWLl2KadOm4ZVXXsH27dsRFxeHefPm2e3LpEmTMHPmTEyePBm//vorPv74Y8TExAAAtm7dCgBYv349CgoKsHz5cqvXyMrKwhdffIEPP/wQO3fuxHXXXYf+/fub+mX04osv4rXXXsP27dtRr149PPbYY7X+rogClsf31yYij7j55ptF+/btRVVVlalNp9OJ9u3bCyGEOHjwoAAgtmzZYjr+559/ioiICLF06VIhhBAPPfSQuP3222XXfe6550SHDh2EEEJ88cUXonHjxqKkpMRmH8aNGydr27hxowAgzp07J4QQYuHChQKAOHz4sOmcuXPnipiYGNP7mJgY8eqrr5reX7lyRSQmJopBgwbZfH7jdfPz801t+/btEwCEXq8XQggxdepUERISIk6fPm0654cffhCNGzcWZWVlsuu1bt1avPfee0IIIVJTU8WTTz4pO67VakWXLl1M74cNG2bqX0lJiQgLCxMffPCB1b4ePXpUABC7du2Stde8xvnz50VISIj46KOPTMcrKipEfHy8yMnJEUJU/27Xr19vOuebb74RAMSlS5ds/aqIAhpHZIj8WM+ePaHRaEzvU1NTcejQIVRWVmLfvn2oV68etFqt6Xh0dDSuv/567Nu3DwCwb98+9O7dW3bN3r17m65x++23o2XLlrj22muRkZGBjz76CBcvXnS4n/Xr10fr1q1N7+Pi4nD69GkAgMFgQFFREVJSUkzHg4OD0b1791qvW69ePSQnJ5vet2vXDlFRUabnA4CWLVuiWbNmpvc//fQTzp8/j+joaDRs2ND0Onr0KI4cOQJA+r3U/L0B0u/Wln379qG8vBy33XZbrX225ciRI7h8+bLs7xESEoKUlBTZ8wBA586dTf8cFxcHAKbfJ1Fdw2RfIrKpUaNG2LlzJzZt2oS1a9diypQpmDZtGrZt24aoqCjF1wkJCZG912g0Xlut06BBA9n78+fPIy4uDps2bbI415FnqikiIsKpzzmr5u/TGMhWVVV5tQ9EvoIjMkR+TK/Xy97n5+ejTZs2CA4ORvv27XHlyhXZOX/99RcOHDiADh06AADat2+PLVu2yK6xZcsWtG3bFsHBwQCkUY+0tDTk5OTg559/xu+//47vvvsOgLRCqbKy0qVniIyMRExMjCyptbKyEjt37qz1s1euXMH27dtN7w8cOIDi4mK0b9/e5mduvPFGFBYWol69erjuuutkr6ZNmwKQfi/Wfre2tGnTBhEREdiwYYPV48aVUvZ+V61bt0ZoaKjs73H58mVs27bN9PciIksckSHyY8ePH8fEiRPxxBNPYOfOnXjrrbdMq47atGmDQYMG4fHHH8d7772HRo0a4fnnn8ff/vY3DBo0CADwzDPPIDk5GTNmzMADDzyAvLw8vP3226bE1q+//hq//fYb+vbtiyZNmuDbb79FVVUVrr/+egBAq1atoNfr8fvvv6Nhw4a45pprnHqOp556CtnZ2bjuuuvQrl07vPXWWzh37pxs2syakJAQPPXUU3jzzTdRr149jB07Fj179pRNU5lLS0tDamoqBg8ejJycHLRt2xanTp3CN998g3vuuQc9evTAuHHjMHz4cPTo0QO9e/fGRx99hF9++QXXXnut1WuGh4dDp9MhKysLoaGh6N27N86cOYNffvkFmZmZaN68OSIiIrB69Wq0aNEC4eHhFkuvGzRogNGjR+O5557DNddcg8TEROTk5ODixYvIzMx0/JdKVEcwkCHyY0OHDsWlS5eQkpKC4OBgjBs3DiNHjjQdX7hwIcaNG4e77roLFRUV6Nu3L7799lvT1MSNN96IpUuXYsqUKZgxYwbi4uLw73//G8OHDwcgTbUsX74c06ZNQ1lZGdq0aYNPPvkEHTt2BAA8++yzGDZsGDp06IBLly7h6NGjTj2HTqdDYWEhhg4diuDgYIwcORL9+/c3jQrZUr9+feh0Ojz00EM4efIkbrrpJixYsMDuZzQaDb799lu8+OKLePTRR3HmzBnExsaib9++plVGDzzwAI4cOYKsrCyUlZVhyJAhGD16NNasWWPzupMnT0a9evUwZcoUnDp1CnFxcRg1ahQAaVTrzTffxL///W9MmTIFN910k9WprZkzZ6KqqgoZGRkoLS1Fjx49sGbNGjRp0qSW3yBR3aUR3pqoJiJSqKqqCu3bt8f999+PGTNmWD1n0aJFGD9+fMBthUBEjuGIDBGp7tixY1i7di1uvvlmlJeX4+2338bRo0fx0EMPqd01IvJxTPYlItUFBQVh0aJFSE5ORu/evbFnzx6sX7/ebtIuERHAqSUiIiLyYxyRISIiIr/FQIaIiIj8FgMZIiIi8lsMZIiIiMhvMZAhIiIiv8VAhoiIiPwWAxkiIiLyWwxkiIiIyG/9P7QyvlXXTAaxAAAAAElFTkSuQmCC\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "## Neural Networks  \n",
        "\n",
        "Below I used pytorch fit a neural net model.  \n",
        "\n",
        "See the links under \"pytorch example with susedcars data\" on the webpage.\n",
        "\n",
        "I did 5000 epochs.  \n",
        "Do I really need that many?   \n",
        "\n",
        "Try running if for few epochs and see if you still get decent results."
      ],
      "metadata": {
        "id": "cKfCk8rwq2yf"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "### pytorch\n",
        "import torch\n",
        "from torch.utils.data import Dataset\n",
        "from torch.utils.data import DataLoader\n",
        "from torch import nn"
      ],
      "metadata": {
        "id": "m8Q9rvt_rFX2"
      },
      "execution_count": 19,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "##################################################\n",
        "## scale both x and y, in principle you don't have to scale y\n",
        "sc = StandardScaler()\n",
        "xtr = sc.fit_transform(Xtrain)\n",
        "xte = sc.transform(Xtest)\n",
        "\n",
        "scy = StandardScaler()\n",
        "ytr = scy.fit_transform(ytrain.reshape(-1,1))\n",
        "yte = scy.transform(ytest.reshape(-1,1))\n",
        "\n",
        "print(xtr.shape)\n",
        "print(ytr.shape)\n",
        "print(xte.shape)\n",
        "print(yte.shape)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "HisvwTmtrGYR",
        "outputId": "957d3ef8-0fcb-428a-b99a-a7eb1baa6d1a"
      },
      "execution_count": 20,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "(700, 2)\n",
            "(700, 1)\n",
            "(300, 2)\n",
            "(300, 1)\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "##################################################\n",
        "## move to Tensors\n",
        "\n",
        "xtr = xtr.astype('float32')\n",
        "xxtr = torch.from_numpy(xtr)\n",
        "ytr = ytr.astype('float32')\n",
        "yytr = torch.from_numpy(ytr)\n",
        "\n",
        "xte = xte.astype('float32')\n",
        "xxte = torch.from_numpy(xte)\n",
        "yte = yte.astype('float32')\n",
        "yyte = torch.from_numpy(yte)\n",
        "\n",
        "plt.scatter(xxtr[:,0],yytr)\n",
        "plt.xlabel('scaled mileage'); plt.ylabel('scaled price')\n",
        "\n",
        "print(xxtr.shape)\n",
        "print(xxtr.dtype)\n",
        "print(yytr.shape)\n",
        "print(yytr.dtype)\n",
        "print(yyte.dtype)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 536
        },
        "id": "U7604vTTrqwF",
        "outputId": "8768864f-936a-46ba-8612-8b3f416cc117"
      },
      "execution_count": 21,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "torch.Size([700, 2])\n",
            "torch.float32\n",
            "torch.Size([700, 1])\n",
            "torch.float32\n",
            "torch.float32\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "##################################################\n",
        "## Dataset\n",
        "\n",
        "class DF(Dataset):\n",
        "   def __init__(self,x,y,transform=None, target_transform=None):\n",
        "      self.x = x\n",
        "      self.y = y\n",
        "      self.transform = transform\n",
        "      self.target_transform = target_transform\n",
        "\n",
        "   def __len__(self):\n",
        "      return len(self.y)\n",
        "\n",
        "   def __getitem__(self,idx):\n",
        "      return self.x[idx], self.y[idx]\n",
        "\n",
        "\n",
        "tDF = DF(xxtr,yytr)"
      ],
      "metadata": {
        "id": "4Ef7pzQEsVKs"
      },
      "execution_count": 22,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "##################################################\n",
        "## DataLoader\n",
        "tdl = DataLoader(tDF,batch_size=50,shuffle=True)"
      ],
      "metadata": {
        "id": "8_NKRDX2s1BA"
      },
      "execution_count": 23,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "##################################################\n",
        "## model\n",
        "\n",
        "class SLNN(nn.Module):\n",
        "   def __init__(self,nunits=5):\n",
        "      super(SLNN, self).__init__()\n",
        "      self.SSM = nn.Sequential(\n",
        "         nn.Linear(2,nunits),\n",
        "         nn.ReLU(),\n",
        "         nn.Linear(nunits,1))\n",
        "   def forward(self,x):\n",
        "      yhat = self.SSM(x)\n",
        "      return yhat\n",
        "\n",
        "nunits= 50\n",
        "model = SLNN(nunits)\n",
        "\n",
        "## see model\n",
        "print(model)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "Emc4b0v6s5Jk",
        "outputId": "9b3297cd-ad79-489f-81f8-337ba22ac039"
      },
      "execution_count": 24,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "SLNN(\n",
            "  (SSM): Sequential(\n",
            "    (0): Linear(in_features=2, out_features=50, bias=True)\n",
            "    (1): ReLU()\n",
            "    (2): Linear(in_features=50, out_features=1, bias=True)\n",
            "  )\n",
            ")\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "##################################################\n",
        "### do it\n",
        "def train_loop(dataloader, model, loss_fn, optimizer):\n",
        "    size = len(dataloader.dataset)\n",
        "    for batch, (X, y) in enumerate(dataloader):\n",
        "        # Compute prediction and loss\n",
        "        pred = model(X)\n",
        "        loss = loss_fn(pred, y)\n",
        "\n",
        "        # Backpropagation\n",
        "        optimizer.zero_grad()\n",
        "        loss.backward()\n",
        "        optimizer.step()\n",
        "    return loss_fn(model(dataloader.dataset.x),dataloader.dataset.y).item()\n",
        "\n",
        "\n",
        "\n",
        "learning_rate = .05\n",
        "l2par = .0\n",
        "\n",
        "loss_fn = nn.MSELoss()\n",
        "optimizer = torch.optim.SGD(model.parameters(), lr=learning_rate, weight_decay = l2par)"
      ],
      "metadata": {
        "id": "l8zZE-Ths9NG"
      },
      "execution_count": 25,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "epochs = 5000\n",
        "lv = np.zeros((epochs,))\n",
        "for t in range(epochs):\n",
        "    print(f\"Epoch {t+1}\\n-------------------------------\")\n",
        "    lv[t] = train_loop(tdl, model, loss_fn, optimizer)\n",
        "print(\"Done!\")"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "-l_uOPSttFyR",
        "outputId": "5be4afac-458d-40ac-b65b-65b1b865f323"
      },
      "execution_count": 26,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "\u001b[1;30;43mStreaming output truncated to the last 5000 lines.\u001b[0m\n",
            "-------------------------------\n",
            "Epoch 2502\n",
            "-------------------------------\n",
            "Epoch 2503\n",
            "-------------------------------\n",
            "Epoch 2504\n",
            "-------------------------------\n",
            "Epoch 2505\n",
            "-------------------------------\n",
            "Epoch 2506\n",
            "-------------------------------\n",
            "Epoch 2507\n",
            "-------------------------------\n",
            "Epoch 2508\n",
            "-------------------------------\n",
            "Epoch 2509\n",
            "-------------------------------\n",
            "Epoch 2510\n",
            "-------------------------------\n",
            "Epoch 2511\n",
            "-------------------------------\n",
            "Epoch 2512\n",
            "-------------------------------\n",
            "Epoch 2513\n",
            "-------------------------------\n",
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            "Epoch 4664\n",
            "-------------------------------\n",
            "Epoch 4665\n",
            "-------------------------------\n",
            "Epoch 4666\n",
            "-------------------------------\n",
            "Epoch 4667\n",
            "-------------------------------\n",
            "Epoch 4668\n",
            "-------------------------------\n",
            "Epoch 4669\n",
            "-------------------------------\n",
            "Epoch 4670\n",
            "-------------------------------\n",
            "Epoch 4671\n",
            "-------------------------------\n",
            "Epoch 4672\n",
            "-------------------------------\n",
            "Epoch 4673\n",
            "-------------------------------\n",
            "Epoch 4674\n",
            "-------------------------------\n",
            "Epoch 4675\n",
            "-------------------------------\n",
            "Epoch 4676\n",
            "-------------------------------\n",
            "Epoch 4677\n",
            "-------------------------------\n",
            "Epoch 4678\n",
            "-------------------------------\n",
            "Epoch 4679\n",
            "-------------------------------\n",
            "Epoch 4680\n",
            "-------------------------------\n",
            "Epoch 4681\n",
            "-------------------------------\n",
            "Epoch 4682\n",
            "-------------------------------\n",
            "Epoch 4683\n",
            "-------------------------------\n",
            "Epoch 4684\n",
            "-------------------------------\n",
            "Epoch 4685\n",
            "-------------------------------\n",
            "Epoch 4686\n",
            "-------------------------------\n",
            "Epoch 4687\n",
            "-------------------------------\n",
            "Epoch 4688\n",
            "-------------------------------\n",
            "Epoch 4689\n",
            "-------------------------------\n",
            "Epoch 4690\n",
            "-------------------------------\n",
            "Epoch 4691\n",
            "-------------------------------\n",
            "Epoch 4692\n",
            "-------------------------------\n",
            "Epoch 4693\n",
            "-------------------------------\n",
            "Epoch 4694\n",
            "-------------------------------\n",
            "Epoch 4695\n",
            "-------------------------------\n",
            "Epoch 4696\n",
            "-------------------------------\n",
            "Epoch 4697\n",
            "-------------------------------\n",
            "Epoch 4698\n",
            "-------------------------------\n",
            "Epoch 4699\n",
            "-------------------------------\n",
            "Epoch 4700\n",
            "-------------------------------\n",
            "Epoch 4701\n",
            "-------------------------------\n",
            "Epoch 4702\n",
            "-------------------------------\n",
            "Epoch 4703\n",
            "-------------------------------\n",
            "Epoch 4704\n",
            "-------------------------------\n",
            "Epoch 4705\n",
            "-------------------------------\n",
            "Epoch 4706\n",
            "-------------------------------\n",
            "Epoch 4707\n",
            "-------------------------------\n",
            "Epoch 4708\n",
            "-------------------------------\n",
            "Epoch 4709\n",
            "-------------------------------\n",
            "Epoch 4710\n",
            "-------------------------------\n",
            "Epoch 4711\n",
            "-------------------------------\n",
            "Epoch 4712\n",
            "-------------------------------\n",
            "Epoch 4713\n",
            "-------------------------------\n",
            "Epoch 4714\n",
            "-------------------------------\n",
            "Epoch 4715\n",
            "-------------------------------\n",
            "Epoch 4716\n",
            "-------------------------------\n",
            "Epoch 4717\n",
            "-------------------------------\n",
            "Epoch 4718\n",
            "-------------------------------\n",
            "Epoch 4719\n",
            "-------------------------------\n",
            "Epoch 4720\n",
            "-------------------------------\n",
            "Epoch 4721\n",
            "-------------------------------\n",
            "Epoch 4722\n",
            "-------------------------------\n",
            "Epoch 4723\n",
            "-------------------------------\n",
            "Epoch 4724\n",
            "-------------------------------\n",
            "Epoch 4725\n",
            "-------------------------------\n",
            "Epoch 4726\n",
            "-------------------------------\n",
            "Epoch 4727\n",
            "-------------------------------\n",
            "Epoch 4728\n",
            "-------------------------------\n",
            "Epoch 4729\n",
            "-------------------------------\n",
            "Epoch 4730\n",
            "-------------------------------\n",
            "Epoch 4731\n",
            "-------------------------------\n",
            "Epoch 4732\n",
            "-------------------------------\n",
            "Epoch 4733\n",
            "-------------------------------\n",
            "Epoch 4734\n",
            "-------------------------------\n",
            "Epoch 4735\n",
            "-------------------------------\n",
            "Epoch 4736\n",
            "-------------------------------\n",
            "Epoch 4737\n",
            "-------------------------------\n",
            "Epoch 4738\n",
            "-------------------------------\n",
            "Epoch 4739\n",
            "-------------------------------\n",
            "Epoch 4740\n",
            "-------------------------------\n",
            "Epoch 4741\n",
            "-------------------------------\n",
            "Epoch 4742\n",
            "-------------------------------\n",
            "Epoch 4743\n",
            "-------------------------------\n",
            "Epoch 4744\n",
            "-------------------------------\n",
            "Epoch 4745\n",
            "-------------------------------\n",
            "Epoch 4746\n",
            "-------------------------------\n",
            "Epoch 4747\n",
            "-------------------------------\n",
            "Epoch 4748\n",
            "-------------------------------\n",
            "Epoch 4749\n",
            "-------------------------------\n",
            "Epoch 4750\n",
            "-------------------------------\n",
            "Epoch 4751\n",
            "-------------------------------\n",
            "Epoch 4752\n",
            "-------------------------------\n",
            "Epoch 4753\n",
            "-------------------------------\n",
            "Epoch 4754\n",
            "-------------------------------\n",
            "Epoch 4755\n",
            "-------------------------------\n",
            "Epoch 4756\n",
            "-------------------------------\n",
            "Epoch 4757\n",
            "-------------------------------\n",
            "Epoch 4758\n",
            "-------------------------------\n",
            "Epoch 4759\n",
            "-------------------------------\n",
            "Epoch 4760\n",
            "-------------------------------\n",
            "Epoch 4761\n",
            "-------------------------------\n",
            "Epoch 4762\n",
            "-------------------------------\n",
            "Epoch 4763\n",
            "-------------------------------\n",
            "Epoch 4764\n",
            "-------------------------------\n",
            "Epoch 4765\n",
            "-------------------------------\n",
            "Epoch 4766\n",
            "-------------------------------\n",
            "Epoch 4767\n",
            "-------------------------------\n",
            "Epoch 4768\n",
            "-------------------------------\n",
            "Epoch 4769\n",
            "-------------------------------\n",
            "Epoch 4770\n",
            "-------------------------------\n",
            "Epoch 4771\n",
            "-------------------------------\n",
            "Epoch 4772\n",
            "-------------------------------\n",
            "Epoch 4773\n",
            "-------------------------------\n",
            "Epoch 4774\n",
            "-------------------------------\n",
            "Epoch 4775\n",
            "-------------------------------\n",
            "Epoch 4776\n",
            "-------------------------------\n",
            "Epoch 4777\n",
            "-------------------------------\n",
            "Epoch 4778\n",
            "-------------------------------\n",
            "Epoch 4779\n",
            "-------------------------------\n",
            "Epoch 4780\n",
            "-------------------------------\n",
            "Epoch 4781\n",
            "-------------------------------\n",
            "Epoch 4782\n",
            "-------------------------------\n",
            "Epoch 4783\n",
            "-------------------------------\n",
            "Epoch 4784\n",
            "-------------------------------\n",
            "Epoch 4785\n",
            "-------------------------------\n",
            "Epoch 4786\n",
            "-------------------------------\n",
            "Epoch 4787\n",
            "-------------------------------\n",
            "Epoch 4788\n",
            "-------------------------------\n",
            "Epoch 4789\n",
            "-------------------------------\n",
            "Epoch 4790\n",
            "-------------------------------\n",
            "Epoch 4791\n",
            "-------------------------------\n",
            "Epoch 4792\n",
            "-------------------------------\n",
            "Epoch 4793\n",
            "-------------------------------\n",
            "Epoch 4794\n",
            "-------------------------------\n",
            "Epoch 4795\n",
            "-------------------------------\n",
            "Epoch 4796\n",
            "-------------------------------\n",
            "Epoch 4797\n",
            "-------------------------------\n",
            "Epoch 4798\n",
            "-------------------------------\n",
            "Epoch 4799\n",
            "-------------------------------\n",
            "Epoch 4800\n",
            "-------------------------------\n",
            "Epoch 4801\n",
            "-------------------------------\n",
            "Epoch 4802\n",
            "-------------------------------\n",
            "Epoch 4803\n",
            "-------------------------------\n",
            "Epoch 4804\n",
            "-------------------------------\n",
            "Epoch 4805\n",
            "-------------------------------\n",
            "Epoch 4806\n",
            "-------------------------------\n",
            "Epoch 4807\n",
            "-------------------------------\n",
            "Epoch 4808\n",
            "-------------------------------\n",
            "Epoch 4809\n",
            "-------------------------------\n",
            "Epoch 4810\n",
            "-------------------------------\n",
            "Epoch 4811\n",
            "-------------------------------\n",
            "Epoch 4812\n",
            "-------------------------------\n",
            "Epoch 4813\n",
            "-------------------------------\n",
            "Epoch 4814\n",
            "-------------------------------\n",
            "Epoch 4815\n",
            "-------------------------------\n",
            "Epoch 4816\n",
            "-------------------------------\n",
            "Epoch 4817\n",
            "-------------------------------\n",
            "Epoch 4818\n",
            "-------------------------------\n",
            "Epoch 4819\n",
            "-------------------------------\n",
            "Epoch 4820\n",
            "-------------------------------\n",
            "Epoch 4821\n",
            "-------------------------------\n",
            "Epoch 4822\n",
            "-------------------------------\n",
            "Epoch 4823\n",
            "-------------------------------\n",
            "Epoch 4824\n",
            "-------------------------------\n",
            "Epoch 4825\n",
            "-------------------------------\n",
            "Epoch 4826\n",
            "-------------------------------\n",
            "Epoch 4827\n",
            "-------------------------------\n",
            "Epoch 4828\n",
            "-------------------------------\n",
            "Epoch 4829\n",
            "-------------------------------\n",
            "Epoch 4830\n",
            "-------------------------------\n",
            "Epoch 4831\n",
            "-------------------------------\n",
            "Epoch 4832\n",
            "-------------------------------\n",
            "Epoch 4833\n",
            "-------------------------------\n",
            "Epoch 4834\n",
            "-------------------------------\n",
            "Epoch 4835\n",
            "-------------------------------\n",
            "Epoch 4836\n",
            "-------------------------------\n",
            "Epoch 4837\n",
            "-------------------------------\n",
            "Epoch 4838\n",
            "-------------------------------\n",
            "Epoch 4839\n",
            "-------------------------------\n",
            "Epoch 4840\n",
            "-------------------------------\n",
            "Epoch 4841\n",
            "-------------------------------\n",
            "Epoch 4842\n",
            "-------------------------------\n",
            "Epoch 4843\n",
            "-------------------------------\n",
            "Epoch 4844\n",
            "-------------------------------\n",
            "Epoch 4845\n",
            "-------------------------------\n",
            "Epoch 4846\n",
            "-------------------------------\n",
            "Epoch 4847\n",
            "-------------------------------\n",
            "Epoch 4848\n",
            "-------------------------------\n",
            "Epoch 4849\n",
            "-------------------------------\n",
            "Epoch 4850\n",
            "-------------------------------\n",
            "Epoch 4851\n",
            "-------------------------------\n",
            "Epoch 4852\n",
            "-------------------------------\n",
            "Epoch 4853\n",
            "-------------------------------\n",
            "Epoch 4854\n",
            "-------------------------------\n",
            "Epoch 4855\n",
            "-------------------------------\n",
            "Epoch 4856\n",
            "-------------------------------\n",
            "Epoch 4857\n",
            "-------------------------------\n",
            "Epoch 4858\n",
            "-------------------------------\n",
            "Epoch 4859\n",
            "-------------------------------\n",
            "Epoch 4860\n",
            "-------------------------------\n",
            "Epoch 4861\n",
            "-------------------------------\n",
            "Epoch 4862\n",
            "-------------------------------\n",
            "Epoch 4863\n",
            "-------------------------------\n",
            "Epoch 4864\n",
            "-------------------------------\n",
            "Epoch 4865\n",
            "-------------------------------\n",
            "Epoch 4866\n",
            "-------------------------------\n",
            "Epoch 4867\n",
            "-------------------------------\n",
            "Epoch 4868\n",
            "-------------------------------\n",
            "Epoch 4869\n",
            "-------------------------------\n",
            "Epoch 4870\n",
            "-------------------------------\n",
            "Epoch 4871\n",
            "-------------------------------\n",
            "Epoch 4872\n",
            "-------------------------------\n",
            "Epoch 4873\n",
            "-------------------------------\n",
            "Epoch 4874\n",
            "-------------------------------\n",
            "Epoch 4875\n",
            "-------------------------------\n",
            "Epoch 4876\n",
            "-------------------------------\n",
            "Epoch 4877\n",
            "-------------------------------\n",
            "Epoch 4878\n",
            "-------------------------------\n",
            "Epoch 4879\n",
            "-------------------------------\n",
            "Epoch 4880\n",
            "-------------------------------\n",
            "Epoch 4881\n",
            "-------------------------------\n",
            "Epoch 4882\n",
            "-------------------------------\n",
            "Epoch 4883\n",
            "-------------------------------\n",
            "Epoch 4884\n",
            "-------------------------------\n",
            "Epoch 4885\n",
            "-------------------------------\n",
            "Epoch 4886\n",
            "-------------------------------\n",
            "Epoch 4887\n",
            "-------------------------------\n",
            "Epoch 4888\n",
            "-------------------------------\n",
            "Epoch 4889\n",
            "-------------------------------\n",
            "Epoch 4890\n",
            "-------------------------------\n",
            "Epoch 4891\n",
            "-------------------------------\n",
            "Epoch 4892\n",
            "-------------------------------\n",
            "Epoch 4893\n",
            "-------------------------------\n",
            "Epoch 4894\n",
            "-------------------------------\n",
            "Epoch 4895\n",
            "-------------------------------\n",
            "Epoch 4896\n",
            "-------------------------------\n",
            "Epoch 4897\n",
            "-------------------------------\n",
            "Epoch 4898\n",
            "-------------------------------\n",
            "Epoch 4899\n",
            "-------------------------------\n",
            "Epoch 4900\n",
            "-------------------------------\n",
            "Epoch 4901\n",
            "-------------------------------\n",
            "Epoch 4902\n",
            "-------------------------------\n",
            "Epoch 4903\n",
            "-------------------------------\n",
            "Epoch 4904\n",
            "-------------------------------\n",
            "Epoch 4905\n",
            "-------------------------------\n",
            "Epoch 4906\n",
            "-------------------------------\n",
            "Epoch 4907\n",
            "-------------------------------\n",
            "Epoch 4908\n",
            "-------------------------------\n",
            "Epoch 4909\n",
            "-------------------------------\n",
            "Epoch 4910\n",
            "-------------------------------\n",
            "Epoch 4911\n",
            "-------------------------------\n",
            "Epoch 4912\n",
            "-------------------------------\n",
            "Epoch 4913\n",
            "-------------------------------\n",
            "Epoch 4914\n",
            "-------------------------------\n",
            "Epoch 4915\n",
            "-------------------------------\n",
            "Epoch 4916\n",
            "-------------------------------\n",
            "Epoch 4917\n",
            "-------------------------------\n",
            "Epoch 4918\n",
            "-------------------------------\n",
            "Epoch 4919\n",
            "-------------------------------\n",
            "Epoch 4920\n",
            "-------------------------------\n",
            "Epoch 4921\n",
            "-------------------------------\n",
            "Epoch 4922\n",
            "-------------------------------\n",
            "Epoch 4923\n",
            "-------------------------------\n",
            "Epoch 4924\n",
            "-------------------------------\n",
            "Epoch 4925\n",
            "-------------------------------\n",
            "Epoch 4926\n",
            "-------------------------------\n",
            "Epoch 4927\n",
            "-------------------------------\n",
            "Epoch 4928\n",
            "-------------------------------\n",
            "Epoch 4929\n",
            "-------------------------------\n",
            "Epoch 4930\n",
            "-------------------------------\n",
            "Epoch 4931\n",
            "-------------------------------\n",
            "Epoch 4932\n",
            "-------------------------------\n",
            "Epoch 4933\n",
            "-------------------------------\n",
            "Epoch 4934\n",
            "-------------------------------\n",
            "Epoch 4935\n",
            "-------------------------------\n",
            "Epoch 4936\n",
            "-------------------------------\n",
            "Epoch 4937\n",
            "-------------------------------\n",
            "Epoch 4938\n",
            "-------------------------------\n",
            "Epoch 4939\n",
            "-------------------------------\n",
            "Epoch 4940\n",
            "-------------------------------\n",
            "Epoch 4941\n",
            "-------------------------------\n",
            "Epoch 4942\n",
            "-------------------------------\n",
            "Epoch 4943\n",
            "-------------------------------\n",
            "Epoch 4944\n",
            "-------------------------------\n",
            "Epoch 4945\n",
            "-------------------------------\n",
            "Epoch 4946\n",
            "-------------------------------\n",
            "Epoch 4947\n",
            "-------------------------------\n",
            "Epoch 4948\n",
            "-------------------------------\n",
            "Epoch 4949\n",
            "-------------------------------\n",
            "Epoch 4950\n",
            "-------------------------------\n",
            "Epoch 4951\n",
            "-------------------------------\n",
            "Epoch 4952\n",
            "-------------------------------\n",
            "Epoch 4953\n",
            "-------------------------------\n",
            "Epoch 4954\n",
            "-------------------------------\n",
            "Epoch 4955\n",
            "-------------------------------\n",
            "Epoch 4956\n",
            "-------------------------------\n",
            "Epoch 4957\n",
            "-------------------------------\n",
            "Epoch 4958\n",
            "-------------------------------\n",
            "Epoch 4959\n",
            "-------------------------------\n",
            "Epoch 4960\n",
            "-------------------------------\n",
            "Epoch 4961\n",
            "-------------------------------\n",
            "Epoch 4962\n",
            "-------------------------------\n",
            "Epoch 4963\n",
            "-------------------------------\n",
            "Epoch 4964\n",
            "-------------------------------\n",
            "Epoch 4965\n",
            "-------------------------------\n",
            "Epoch 4966\n",
            "-------------------------------\n",
            "Epoch 4967\n",
            "-------------------------------\n",
            "Epoch 4968\n",
            "-------------------------------\n",
            "Epoch 4969\n",
            "-------------------------------\n",
            "Epoch 4970\n",
            "-------------------------------\n",
            "Epoch 4971\n",
            "-------------------------------\n",
            "Epoch 4972\n",
            "-------------------------------\n",
            "Epoch 4973\n",
            "-------------------------------\n",
            "Epoch 4974\n",
            "-------------------------------\n",
            "Epoch 4975\n",
            "-------------------------------\n",
            "Epoch 4976\n",
            "-------------------------------\n",
            "Epoch 4977\n",
            "-------------------------------\n",
            "Epoch 4978\n",
            "-------------------------------\n",
            "Epoch 4979\n",
            "-------------------------------\n",
            "Epoch 4980\n",
            "-------------------------------\n",
            "Epoch 4981\n",
            "-------------------------------\n",
            "Epoch 4982\n",
            "-------------------------------\n",
            "Epoch 4983\n",
            "-------------------------------\n",
            "Epoch 4984\n",
            "-------------------------------\n",
            "Epoch 4985\n",
            "-------------------------------\n",
            "Epoch 4986\n",
            "-------------------------------\n",
            "Epoch 4987\n",
            "-------------------------------\n",
            "Epoch 4988\n",
            "-------------------------------\n",
            "Epoch 4989\n",
            "-------------------------------\n",
            "Epoch 4990\n",
            "-------------------------------\n",
            "Epoch 4991\n",
            "-------------------------------\n",
            "Epoch 4992\n",
            "-------------------------------\n",
            "Epoch 4993\n",
            "-------------------------------\n",
            "Epoch 4994\n",
            "-------------------------------\n",
            "Epoch 4995\n",
            "-------------------------------\n",
            "Epoch 4996\n",
            "-------------------------------\n",
            "Epoch 4997\n",
            "-------------------------------\n",
            "Epoch 4998\n",
            "-------------------------------\n",
            "Epoch 4999\n",
            "-------------------------------\n",
            "Epoch 5000\n",
            "-------------------------------\n",
            "Done!\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "## plot loss over epochs\n",
        "plt.plot(np.sqrt(lv))\n",
        "plt.xlabel('epoch')"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 466
        },
        "id": "c62JusDOtJcc",
        "outputId": "e2ba76b4-4868-47d0-ce08-68f2509cfae3"
      },
      "execution_count": 27,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "Text(0.5, 0, 'epoch')"
            ]
          },
          "metadata": {},
          "execution_count": 27
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "### out of sample\n",
        "ypredN = model(xxte).detach().numpy()\n",
        "ypredN = ypredN.astype('float64')\n",
        "ypredN = scy.inverse_transform(ypredN)\n",
        "ypredN = ypredN.flatten()\n",
        "print(type(ypredN))\n",
        "print(ypredN.shape)\n",
        "print(ypredN.dtype)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "Bn6Hc0tlwSkt",
        "outputId": "d3167850-7d7f-4b17-8605-95b8b12ed863"
      },
      "execution_count": 28,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "<class 'numpy.ndarray'>\n",
            "(300,)\n",
            "float64\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "plt.scatter(ypredN,ytest,s=10)\n",
        "plt.plot(ytest,ytest,c='red')\n",
        "plt.xlabel('nn prediction'); plt.ylabel('test y')\n",
        "\n",
        "print(f'neural net rmse: {myrmse(ypredN,ytest)}')"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 466
        },
        "id": "CQmzMEFnfN-q",
        "outputId": "018a73af-8465-4fb2-e8d2-8b4aa33dff9f"
      },
      "execution_count": 29,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "neural net rmse: 5.204\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "## Compare  \n",
        "\n",
        "Let's compare the results from a single tree, random forests, boosting, and neural nets.  \n"
      ],
      "metadata": {
        "id": "Z4JkzAWlYtVr"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "## compare boosting to rf\n",
        "ypredDF = pd.DataFrame({'ytest':ytest,'ypredT2':ypredT2,'ypredRF':ypredRF,'ypredB':ypredB,'ypredN':ypredN})\n",
        "print(ypredDF.corr())\n",
        "\n",
        "\n",
        "print('\\n\\nrmse: tree, rf, gb, nn:', myrmse(ypredT2,ytest),myrmse(ytest,ypredRF),myrmse(ytest,ypredB),myrmse(ytest,ypredN))"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "PTwvm5K3YxYb",
        "outputId": "a59e3af1-6fc2-4ec4-fc85-dffe96f016b4"
      },
      "execution_count": 30,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "            ytest   ypredT2   ypredRF    ypredB    ypredN\n",
            "ytest    1.000000  0.953870  0.954808  0.959067  0.962759\n",
            "ypredT2  0.953870  1.000000  0.978637  0.982507  0.985885\n",
            "ypredRF  0.954808  0.978637  1.000000  0.988320  0.987933\n",
            "ypredB   0.959067  0.982507  0.988320  1.000000  0.992169\n",
            "ypredN   0.962759  0.985885  0.987933  0.992169  1.000000\n",
            "\n",
            "\n",
            "rmse: tree, rf, gb, nn: 5.643 5.596 5.323 5.204\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "import seaborn as sns"
      ],
      "metadata": {
        "id": "RXHDHWKVZIvD"
      },
      "execution_count": 31,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "sns.pairplot(ypredDF,diag_kind='kde',height=2)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "id": "mzmdlEb0aAlF",
        "outputId": "6bc3df61-2c1e-4bd3-d497-775db4e3723d"
      },
      "execution_count": 32,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<seaborn.axisgrid.PairGrid at 0x7a0a3a702ed0>"
            ]
          },
          "metadata": {},
          "execution_count": 32
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1000x1000 with 30 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    }
  ]
}