{ "cells": [ { "cell_type": "code", "execution_count": 1, "id": "adb08fe9", "metadata": {}, "outputs": [], "source": [ "import pandas as pd\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns\n", "import numpy as np" ] }, { "cell_type": "markdown", "id": "cb465930", "metadata": {}, "source": [ "# Feature Selection with Lasso, Ridge, ElasticNet in Python and \"scikit-learn\"\n", "\n", "Today we'll use the \"scikit-learn\" (aka `sklearn`) implementation of these models. \"scikit-learn\" is a machine learning-focused library that has a ton of helper functions for data scientists to quickly and efficiently try a lot of different models.\n", "\n", "## Prerequisites: Statquest Playlist\n", "\n", "Since this notebook is mainly to show you how to implement these models in python, you should watch this Statquest playlist to get the intuition behind these models:\n", "\n", "* [Regularization Part 1: Ridge](https://www.youtube.com/watch?v=Q81RR3yKn30)\n", "* [Regularization Part 2: Lasso](https://www.youtube.com/watch?v=NGf0voTMlcs)\n", "* [Regularization Part 3: ElasticNet](https://www.youtube.com/watch?v=1dKRdX9bfIo)\n", "* [Machine Learning: Cross Validation](https://www.youtube.com/watch?v=fSytzGwwBVw)\n", "* [Machine Learning Fundamentals: Bias-Variance Tradeoff](https://www.youtube.com/watch?v=EuBBz3bI-aA)\n", "* [Support Vector Machines](https://www.youtube.com/watch?v=efR1C6CvhmE)" ] }, { "cell_type": "markdown", "id": "df29679e", "metadata": {}, "source": [ "## The `sklearn` workflow\n", "\n", "The most basic `sklearn` model workflow goes something like this:\n", "\n", "| Step | Action | Example |\n", "| --- | --- | --- |\n", "| 0 | Import the model from `sklearn` | `from sklearn.linear_model import LinearRegression` |\n", "| 1 | Instantiate the model class | `model = LinearRegression()` |\n", "| 2 | Fit the model | `model.fit(X, y)` |\n", "| 3 | Use the fitted model to make a prediction | `model.predict(X)` |\n", "\n", "This standard interface is what makes `sklearn` so powerful - with `.fit()` and `.predict()` and a huge variety of models in the library, you can use this common language to try all sorts of machine learning models. \n", "\n", "And that's just the start, from this basic 3-step pipeline you can add all kinds of additional steps to this worfklow that make experimentation very convenient for the user." ] }, { "cell_type": "markdown", "id": "1a61afa5", "metadata": {}, "source": [ "## Example: Linear Regression in `sklearn`\n", "\n", "Before we cover Lasso, Ridge, and ElasticNet in `sklearn` it might be helpful to demonstrate some basic functionality with doing a linear regression. \n", "\n", "**Reference**: [Linear Regression](https://scikit-learn.org/stable/modules/generated/sklearn.linear_model.LinearRegression.html#sklearn.linear_model.LinearRegression)" ] }, { "cell_type": "code", "execution_count": 2, "id": "94092f6e", "metadata": {}, "outputs": [], "source": [ "# Import the model\n", "from sklearn.linear_model import LinearRegression" ] }, { "cell_type": "markdown", "id": "1da89801", "metadata": {}, "source": [ "Next we'll load in our data. We'll be using `seaborn`, a visualization library that has some 'toy' datasets to play with and we'll also use it briefly for some specialized plots. \n", "\n", "The `mpg` dataset is a famous dataset that has some car engine attributes like engine displacement (engine size) and others that can be used to estimate the car's fuel efficiency, measured in miles per gallon or `mpg`.\n", "\n", "We can load it in using the `sns.load_dataset()` function:" ] }, { "cell_type": "code", "execution_count": 3, "id": "7fd79589", "metadata": {}, "outputs": [], "source": [ "# load mpg example dataset\n", "mpg = sns.load_dataset(\"mpg\")\n", "# we'll filter on just a few columns and drop na/empty values \n", "mpg = mpg[['mpg', 'displacement', 'horsepower', 'weight']].dropna() \n", "X = mpg[['displacement', 'horsepower', 'weight']]\n", "y = mpg['mpg']" ] }, { "cell_type": "markdown", "id": "880f99e8", "metadata": {}, "source": [ "And one helpful plot for you would be the `sns.pairplot` function that will plot scatterplots for each of the variables against each other and also display the distribution for each variable as a histogram:" ] }, { "cell_type": "code", "execution_count": 4, "id": "aa02ca15", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Convenience method to plot pairs of variables together all in one go!\n", "sns.pairplot(mpg)" ] }, { "cell_type": "markdown", "id": "b12b10e5", "metadata": {}, "source": [ "Next, we'll follow the `sklearn` workflow.\n", "\n", "Let's model the relationship between average MPG and engine displacement and get a quick $R^2$ value:" ] }, { "cell_type": "code", "execution_count": 5, "id": "e8eda32d", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Model R^2: 0.6482294003193044\n" ] } ], "source": [ "# Filter on just the 'displacement' variable in the X dataframe\n", "x = X[[\"displacement\"]]\n", "\n", "model = LinearRegression()\n", "model.fit(x, y)\n", "\n", "# model.score() returns the model R^2 in this case\n", "R2 = model.score(x, y)\n", "print(\"Model R^2: \", R2)" ] }, { "cell_type": "code", "execution_count": 6, "id": "66bb2a5a", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Show the fitted values\n", "yhat = model.predict(x)\n", "\n", "plt.scatter(x, y, label=\"Engine Displacement\")\n", "plt.plot(x, model.predict(x), label=\"Fitted model\", c=\"r\")\n", "plt.title(\"MPG ~ Displacement\")\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "14db39cf", "metadata": {}, "source": [ "With Linear Regression and similar models, we can extract the fitted coefficients and the intercept with two commands:\n", "\n", "1. `model.coef_` will return the coefficients\n", "2. `model.intercept_` will return the intercept" ] }, { "cell_type": "code", "execution_count": 7, "id": "4aed66f9", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "model coefficient(s): [-0.06005143]\n", "model intercept: 35.12063593840391\n" ] } ], "source": [ "print(\"model coefficient(s):\", model.coef_)\n", "print(\"model intercept:\", model.intercept_)" ] }, { "cell_type": "markdown", "id": "ed803b82", "metadata": {}, "source": [ "Notice that this has fewer \"batteries included\" than statsmodels but it gets the job done. So if you wanted other summary statistics like p-values you will need to do them *manually* in `sklearn`. " ] }, { "cell_type": "markdown", "id": "d7404247", "metadata": {}, "source": [ "But all that aside, in math terms, we've just fit the model:\n", "\n", "$$\n", "\\hat{Y} = -0.06x + 35.12\n", "$$\n", "\n", "where $x$ is the engine displacement and $\\hat{Y}$ is the estimated average value of mpg. In other words, for every unit increase in engine displacement, average mpg is expected to decrease by -0.06. " ] }, { "cell_type": "markdown", "id": "b750094a", "metadata": {}, "source": [ "# Feature Selection with Lasso/Ridge/ElasticNet" ] }, { "cell_type": "code", "execution_count": 8, "id": "94f4590a", "metadata": {}, "outputs": [], "source": [ "from sklearn.linear_model import Lasso, Ridge, ElasticNet\n", "\n", "# For this exercise we'll split the data into training and test sets\n", "from sklearn.model_selection import train_test_split\n", "# And we'll need to scale the data\n", "from sklearn.preprocessing import StandardScaler" ] }, { "cell_type": "markdown", "id": "d7591a09", "metadata": {}, "source": [ "`sklearn` Reference:\n", "\n", "* [Ridge Regression](https://scikit-learn.org/stable/modules/generated/sklearn.linear_model.Ridge.html#sklearn.linear_model.Ridge)\n", "* [Lasso](https://scikit-learn.org/stable/modules/generated/sklearn.linear_model.Lasso.html#sklearn.linear_model.Lasso)\n", "* [ElasticNet](https://scikit-learn.org/stable/modules/generated/sklearn.linear_model.ElasticNet.html#sklearn.linear_model.ElasticNet)" ] }, { "cell_type": "markdown", "id": "dae13f58", "metadata": {}, "source": [ "## Scaling your data\n", "\n", "With regularization models **you must scale your data**!\n", "\n", "Since we're dealing with penalties, we need to standardize the scale of data so the regularization penalty doesn't over-penalize numbers that are orders of magnitude higher than others. \n", "\n", "The `StandardScaler()` class in `sklearn` helps us with this, and using it is simple:\n", "\n", "1. Instantiate the scaler class with `StandardScaler()`\n", "2. `fit` the scaler with the `.fit()` method on the data\n", "3. Finally, `transform` the data with `.transform()` \n", " 1. Alternatively, you can combine both the `.fit` and `.transform` steps with a single `.fit_transform()` call\n", " \n", "And this particular scaler simply takes the X data and standardizes them into Z-scores by subtracting the mean and dividing over the standard deviation, i.e.:\n", "\n", "$$\n", "\\text{scaled horsepower} = \\frac{\\text{horsepower} - \\text{average horsepower}}{\\text{horsepower standard deviation}}\n", "$$" ] }, { "cell_type": "code", "execution_count": 9, "id": "67d2c13e", "metadata": {}, "outputs": [], "source": [ "# Here's the data again for clarity\n", "X = mpg[['displacement', 'horsepower', 'weight']]\n", "y = mpg['mpg']\n", "\n", "# Instantiate the Scaler class\n", "scaler = StandardScaler()\n", "# Fit and then transform the X-data\n", "scaled_X = scaler.fit_transform(X)\n", "# The transformed data is now an array, we want to convert it back\n", "# to a dataframe for easier parsing (optional)\n", "scaled_X = pd.DataFrame(scaled_X, columns=['displacement', 'horsepower', 'weight'])" ] }, { "cell_type": "markdown", "id": "e8fb785d", "metadata": {}, "source": [ "**note**: This transformation is a little messy because I'm scaling only the X values (i.e. the engine displacement, horsepower, and weight) and leaving the y unscaled to help a little with the interpretation piece. This code is normally much simpler when you are scaling the y values as well." ] }, { "cell_type": "code", "execution_count": 10, "id": "02fba3cd", "metadata": {}, "outputs": [], "source": [ "# We'll take our scaled X values and combine it with the unscaled y\n", "df = scaled_X.copy()\n", "df['mpg'] = y\n", "df = df.dropna()" ] }, { "cell_type": "markdown", "id": "36f258a5", "metadata": {}, "source": [ "### `train_test_split()`\n", "\n", "The next step we will perform is to divide the data into two parts: a training set and a test set.\n", "\n", "* Here's a Statquest video on why we do this: [Machine Learning Fundamentals: Bias and Variance](https://www.youtube.com/watch?v=EuBBz3bI-aA)" ] }, { "cell_type": "code", "execution_count": 11, "id": "56e50ed1", "metadata": {}, "outputs": [], "source": [ "# split the new dataframe into train/test\n", "mpg_train, mpg_test = train_test_split(df, test_size=0.20, random_state=42)\n", "\n", "X_train = mpg_train[['displacement', 'horsepower', 'weight']]\n", "X_test = mpg_test[['displacement', 'horsepower', 'weight']]\n", "y_train = mpg_train['mpg']\n", "y_test = mpg_test['mpg']" ] }, { "cell_type": "markdown", "id": "4403cabd", "metadata": {}, "source": [ "## Lasso Regression\n", "\n", "Statquest video: [Regularization Part 2: Lasso (L1) Regression](https://www.youtube.com/watch?v=NGf0voTMlcs)\n", "\n", "First model we'll demonstrate is a single call of Lasso and manually set the value of the alpha parameter.\n", "\n", "[Lasso](Regularization Part 2: Lasso (L1) Regression) penalizes the less important features by reducing their coefficients (possibly to zero), unlike [Ridge Regression](https://www.youtube.com/watch?v=Q81RR3yKn30) which merely shrinks the coefficients for the less important features but cannot set them to zero entirely." ] }, { "cell_type": "code", "execution_count": 12, "id": "ad770c59", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "R^2 Value: 0.27\n" ] } ], "source": [ "model = Lasso(alpha=0.01, random_state=42)\n", "model.fit(X_train, y_train)\n", "R_2 = model.score(X_test, y_test)\n", "\n", "# print the score rounded to two digits\n", "print(\"R^2 Value: \", np.round(R_2,2))" ] }, { "cell_type": "markdown", "id": "6befae4f", "metadata": {}, "source": [ "So our simple Lasso model fit on the training data resulted in a $R^2$ of 0.27 on the test data. That is not so good! But the important piece is that we should look at the model coefficients:" ] }, { "cell_type": "code", "execution_count": 13, "id": "d44fa33c", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "intercept: 23.348832405776655\n" ] }, { "data": { "text/html": [ "
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featurecoefficients
0displacement-2.317209
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" ], "text/plain": [ " feature coefficients\n", "0 displacement -2.317209\n", "1 horsepower -1.852412\n", "2 weight -0.818235" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "print(\"intercept: \", model.intercept_)\n", "pd.DataFrame({\"feature\": model.feature_names_in_,\n", " \"coefficients\":model.coef_})" ] }, { "cell_type": "markdown", "id": "68defa75", "metadata": {}, "source": [ "### How do I interpret this?\n", "\n", "So, in math terms, here's what the above model is saying:\n", "\n", "$$\n", "\\text{expected mpg} = -2.32(\\text{displacement}) - 1.85(\\text{horsepower}) - 0.82(\\text{weight}) + 23.35\n", "$$\n", "\n", "So for every unit increase in `displacement` we expect to see a **decrease** in `mpg` by 2.32 miles per gallon. That's a lot! But note here that we *scaled* the displacement, horsepower, and weight numbers. If we want to convert these coefficients back to the original scale, we'll need to do a little math. I'll skip it for now but just know that it's possible in this situation. \n", "\n", "But this is a post on **feature importance**, so how would you do this with Lasso, Ridge, or ElasticNet?" ] }, { "cell_type": "markdown", "id": "a125795b", "metadata": {}, "source": [ "### Feature Importance with Lasso\n", "\n", "So we notice that with the `alpha` parameter at a low value of 0.01, Lasso didn't send any of these variables to zero. If we were to increase the `alpha` parameter, we would see that some of these coefficients would go to zero. \n", "\n", "So one way of interpreting **feature importance** with Lasso or Ridge is to try different values of `alpha` and see what happens to the coefficients.\n", "\n", "The code below shows an example:" ] }, { "cell_type": "code", "execution_count": 14, "id": "97afc390", "metadata": {}, "outputs": [], "source": [ "coefs = []\n", "alphas = np.arange(0.01,10, 0.01)\n", "for a in alphas:\n", " model = Lasso(alpha=a, random_state=42)\n", " model.fit(X_train, y_train)\n", " coefs.append(model.coef_)" ] }, { "cell_type": "markdown", "id": "852255b7", "metadata": {}, "source": [ "Then we'll do a plot of the coeffient values vs `alpha`. " ] }, { "cell_type": "code", "execution_count": 15, "id": "360dbd8b", "metadata": {}, "outputs": [ { "data": { "image/png": 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uu+026tSpwyOPPMLKlSvzrOell14iMTGRxo0b07x5cyZNmsSePXvsr9v+IDdp0iRfDU2bNuXixYtFdpo7cuQITZo0wcmp8KOox48fJyQkBA8Pj3zrz13D4cOHURSF8PBw/P3989xiYmLsHUMd4ciRIzRr1qxEy8TGxqIoCi+++GK++qZNmwaQr8a6devmee7j4wNYm5Cv53qfXWEsFguzZ88mPDwco9GIn58f/v7+7NmzJ8/+89xzz+Hu7k6HDh0IDw/n6aefZsOGDdddPxRv/yxv13tvjxw5glarzfOHriyK+l2JiIjIF26dnZ3z/YH28fG57mdf2HYMBgMNGzYsVogujJOTE3Xq1Mkz7fDhwyQlJREQEJBvv05NTbXv07btXnt2mq+vr/29d5SS7F8NGjQo0bpXrlzJjBkzmDx5MoMGDcrz2r59+xgwYABeXl54enri7+9v/8Nemn27NN+vpfnOaNCgAePHj+eLL77Az8+P3r178+GHH5a45mvfy5J+J9epUyffPxnX7vPHjx8nLCws33ylOeuxLN+vJSF9hFTwzTffMGzYMPr378+kSZMICAhAp9Mxa9Ysjhw5Yp8vICCAXbt28ccff/D777/z+++/M3fuXB566CG+/vprwHoK8JEjR1i+fDl//vknX3zxBbNnz+aTTz7h0UcfVetHLJDFYkGj0fD7778XeNZFUcfhK4Kt38HEiRPp3bt3gfNc+8tc2NkjypXj70Up7Wc3c+ZMXnzxRR555BFefvllfH190Wq1jB07Nk/fiaZNm3Lw4EFWrFjBypUrWbp0KR999BFTp05lxowZha6/uPtnSRTWQmM2mwtdpizvbUWojGcO5W4ttLFYLAQEBLBw4cIClylpawuU7vO0Ken+lbsV53ri4uIYOnQovXr14pVXXsnzWmJiIl27dsXT05OXXnqJsLAwnJ2d2bFjB88991y+fkflpbT79dtvv82wYcPs3xejR49m1qxZ/Pvvv/nCb2GufS9L+p1c0b+TFbU9CUIqWLJkCQ0bNuTHH3/M84Via3XIzWAw0K9fP/r164fFYuGpp57i008/5cUXX7T/Ufb19WX48OEMHz6c1NRUunTpwvTp03n00UepV68eYB1n51oHDhzAz88PNze3QmsNCwtj8+bN5OTkFHp6er169Vi9ejUpKSl5WoVsTc22Gmwdqxs0aEDjxo2v9zaVSVhYGP/991+JlmnYsCEAer2enj17OqyWog7TFPXZFWbJkiXccsstfPnll3mmJyYm5usE7ubmxpAhQxgyZAjZ2dkMHDiQV199lcmTJ+c5/HPt+ou7fxaX7T+5xMTEPNPL0voRFhaGxWJh//79RXbgLu5hsty/K927d8/z2sGDB+2vl1Xu7dj2ObB2iI2Li3PovgfW92n16tVERUUVGSpsdcXGxuZpObh06VK+/8Bzf565O9MW5/Msj/0LICMjg4EDB+Lt7c13332XLxBGR0dz6dIlfvzxR7p06WKfHhcXl29dpdlnrlWc79eSat68Oc2bN+eFF15g48aNREVF8cknn9hDX0kPCZfHd3K9evXYv38/iqLkqSc2NjbfvKU5hF0e5NCYCmwpN3eq3bx5M5s2bcoz36VLl/I812q19rNGsrKyCpzH3d2dRo0a2V8PDg6mVatWfP3113n+CP3333/8+eef9O3bt8haBw0axMWLF/nggw/yvWarv2/fvpjN5nzzzJ49G41GYz+bYODAgeh0OmbMmJEv0SuKku9nKYtBgwaxe/duli1bVmjd1woICKBbt258+umnnD17Nt/rFy5cKFUtbm5u+QIAXP+zK4xOp8v3MyxevDhf/6Vr128wGIiMjERRFHJycopcP1x//ywJT09P/Pz8+Oeff/JM/+ijj0q9zv79+6PVannppZfy/Tefu/bC3v9rtWvXjoCAAD755JM8n8Hvv/9OTEwMt99+e6lrza1nz54YDAbee++9PHV++eWXJCUlOWw7Nvfccw9ms5mXX34532smk8n+3vTo0QMnJyc+/vjjPPMU9LtvOxsp9+eZlpZmb6kuSnnsX2Dt/3Lo0CGWLVtW4KG8grabnZ1d4D7o5uZWrMNOZf1+La7k5GRMJlOeac2bN0er1ebZV4u7r9uUx3dy7969OX36ND///LN9WmZmJp9//nm+eYv7Ppc3aREqJ1999VW+/jwAY8aM4Y477uDHH39kwIAB3H777cTFxfHJJ58QGRlJamqqfd5HH32UhIQEunfvTp06dTh+/Djvv/8+rVq1sve/iYyMpFu3brRt2xZfX1+2bdvGkiVLGDVqlH09b775Jrfddhs333wzI0aMsJ/e6eXlxfTp04v8OR566CHmz5/P+PHj2bJlC507dyYtLY3Vq1fz1FNPcdddd9GvXz9uueUWpkyZwrFjx2jZsiV//vkny5cvZ+zYsfYvzbCwMF555RUmT57MsWPH6N+/Px4eHsTFxbFs2TIee+wxJk6c6IB3HyZNmsSSJUsYPHgwjzzyCG3btiUhIYGff/6ZTz75hJYtWxa43IcffkinTp1o3rw5I0eOpGHDhpw7d45NmzZx6tQpdu/eXeJa2rZty8cff8wrr7xCo0aNCAgIoHv37sX67Apyxx138NJLLzF8+HA6duzI3r17WbhwYZ7WBYBbb72VoKAgoqKiCAwMJCYmhg8++IDbb789X3+ua9dfnP2zpB599FFee+01Hn30Udq1a8c///zDoUOHSr2+Ro0aMWXKFF5++WU6d+7MwIEDMRqNbN26lZCQEGbNmgUU/v5fS6/X8/rrrzN8+HC6du3KfffdZz99vn79+owbN67Utebm7+/P5MmTmTFjBn369OHOO+/k4MGDfPTRR7Rv3z5PZ1RH6Nq1K48//jizZs1i165d3Hrrrej1eg4fPszixYt59913ufvuuwkMDGTMmDG8/fbb3HnnnfTp04fdu3fz+++/4+fnl+e/91tvvZW6desyYsQIJk2ahE6n46uvvsLf358TJ04UWU957F+//vor8+fPZ9CgQezZsydPXzt3d3f69+9Px44d8fHx4eGHH2b06NFoNBoWLFhQ4D9Gbdu25fvvv2f8+PG0b98ed3d3+vXrV+C2y/L9Wlx//fUXo0aNYvDgwTRu3BiTycSCBQvQ6XR5+kG1bduW1atX88477xASEkKDBg248cYbC11veXwnP/7443zwwQfcd999jBkzhuDgYBYuXGhvgc69H5XkfS5XDj0HTdhPHy3sdvLkScVisSgzZ85U6tWrpxiNRqV169bKihUrlIcffjjPqYRLlixRbr31ViUgIEAxGAxK3bp1lccff1w5e/asfZ5XXnlF6dChg+Lt7a24uLgoERERyquvvqpkZ2fnqWv16tVKVFSU4uLionh6eir9+vUr9oCK6enpypQpU5QGDRooer1eCQoKUu6++27lyJEj9nlSUlKUcePGKSEhIYper1fCw8MLHVBx6dKlSqdOnRQ3NzfFzc1NiYiIUJ5++mnl4MGD9nnKevq8olgHHhw1apRSu3ZtxWAwKHXq1FEefvhh5eLFi4qiFH4K7pEjR5SHHnpICQoKUvR6vVK7dm3ljjvuUJYsWWKfp7BhEgoapC8+Pl65/fbbFQ8PjzwD+hX3s7tWZmamMmHCBPugd1FRUcqmTZvynab86aefKl26dFFq1aqlGI1GJSwsTJk0aZKSlJRU5PqLu38WprDPKD09XRkxYoTi5eWleHh4KPfcc49y/vz5Qk+fv/azL+jUbEWxDvHQunVrxWg0Kj4+PkrXrl2VVatW2V8v7P0vbEDF77//3r4+X1/fIgdUvFZhp5UX5IMPPlAiIiIUvV6vBAYGKk8++WSeARWLei8KUlhNNp999pnStm1bxcXFRfHw8FCaN2+uPPvss8qZM2fs85hMJuXFF19UgoKCFBcXF6V79+5KTEyMUqtWLeWJJ57Is77t27crN954o/276Z133inW6fPF3b9yD6h4rWt/d4v63s29zg0bNig33XSTfTDAZ599Vvnjjz/y7QepqanK/fffr3h7exdrQMXifL+WdL/O7ejRo8ojjzyihIWFKc7Ozoqvr69yyy23KKtXr84z34EDB5QuXbooLi4uBQ6oWNh+VJzvZNuAitcq6Hvh6NGjyu233664uLgo/v7+yoQJE5SlS5cqgPLvv//a5yvsfbb9bl47XMD1hk0oLY2iVJKeh0IIISqdxMREfHx8eOWVV+yDUgpRUnPmzGHcuHGcOnWK2rVrq11OHtJHSAghBGDtcHwt29XBu3XrVrHFiCrr2v0oMzOTTz/9lPDw8EoXgkD6CAkhhLji+++/Z968efTt2xd3d3fWr1/Pd999x6233kpUVJTa5YkqYuDAgdStW5dWrVqRlJTEN998w4EDBwodwkFtEoSEEEIA1hGRnZyceOONN0hOTrZ3oL52TB4hitK7d2+++OILFi5ciNlsJjIykkWLFjFkyBC1SyuQ9BESQgghRI0lfYSEEEIIUWNJEBJCCCFEjSV9hK7DYrFw5swZPDw8Ks1w4EIIIYQomqIopKSkEBISku+SK7lJELqOM2fOEBoaqnYZQgghhCiFkydPFnlhWglC12G7FMHJkyfx9PRUuRohhBBCFEdycjKhoaFFXlIIJAhdl+1wmKenpwQhIYQQooq5XrcW6SwthBBCiBpLgpAQQgghaiw5NCaEEKJSMJvN5OTkqF2GqCL0ej06na7M65EgJIQQQlWKohAfH09iYqLapYgqxtvbm6CgoDINbyNBSAghhKpsISggIABXV1cZs01cl6IopKenc/78eQCCg4NLvS4JQkIIIVRjNpvtIahWrVpqlyOqEBcXFwDOnz9PQEBAqQ+TSWdpIYQQqrH1CXJ1dVW5ElEV2fabsvQtkyAkhBBCdXI4TJSGI/YbCUJCCCGEqLEkCAkhhBCixqpyQejDDz+kfv36ODs7c+ONN7Jly5Yi51+8eDERERE4OzvTvHlzfvvttwqqVAghRE3UrVs3xo4dC0D9+vWZM2eOw9at0Wj46aefHLY+UcWC0Pfff8/48eOZNm0aO3bsoGXLlvTu3dt++ty1Nm7cyH333ceIESPYuXMn/fv3p3///vz3338VXLkQQoiaaOvWrTz22GNql1ElDRs2jP79+5f7dqrU6fPvvPMOI0eOZPjw4QB88skn/Prrr3z11Vc8//zz+eZ/99136dOnD5MmTQLg5ZdfZtWqVXzwwQd88sknBW4jKyuLrKws+/Pk5ORy+Eng1W8eZn9a9QlkzgYtem0pcrXOAP5NQFt5d8X6XvWZ2G4iTpW4RiFE5eTv7692CeI6qsw3e3Z2Ntu3b2fy5Mn2aVqtlp49e7Jp06YCl9m0aRPjx4/PM613795FNivOmjWLGTNmOKTmopzNOM4e5+xy306lZ06H+M1qV1GkDWc2UM+zHvdF3Kd2KULUCIqikJFjVmXbLnpdic5ESktL48knn+THH3/Ew8ODiRMn5nm9fv36jB07lrFjx6IoCjNmzOCrr77i3Llz1KpVi7vvvpv33nvPPu+IESPYv38/P//8M97e3vzvf//j6aefLnT7zz33HMuWLePUqVMEBQUxdOhQpk6dil6vt8/zyy+/8NJLL7F3717c3d3p3Lkzy5YtA6z//E+ZMoXvvvuOxMREmjVrxuuvv063bt0AmDdvHmPHjuWbb75hwoQJnDx5kr59+zJ//nwWL17MtGnTSEpK4sEHH2T27Nn2sXyKu97vv/+esWPHcvLkSTp16sTcuXMJDg5m+vTpfP3118DVM8P+/vtv+/KOVGWC0MWLFzGbzQQGBuaZHhgYyIEDBwpcJj4+vsD54+PjC93O5MmT84Sn5ORkQkNDy1B5wW5t8iDh5/Y4fL0VLSk9h/1nk/F21XN785CSLRz/H5zeArXbQ4eR5VNgGe2/tJ9vYr7hg50fcFv92/B29la7JCGqvYwcM5FT/1Bl2/tf6o2rofh/GidNmsTatWtZvnw5AQEB/O9//2PHjh20atUq37xLly5l9uzZLFq0iBtuuIH4+Hh2796dZ54333yT//3vf8yYMYM//viDMWPG0LhxY3r16lXg9j08PJg3bx4hISHs3buXkSNH4uHhwbPPPgvAr7/+yoABA5gyZQrz588nOzs7T1/ZUaNGsX//fhYtWkRISAjLli2jT58+7N27l/DwcADS09N57733WLRoESkpKQwcOJABAwbg7e3Nb7/9xtGjRxk0aBBRUVEMGTKkROt96623WLBgAVqtlgceeICJEyeycOFCJk6cSExMDMnJycydOxcAX1/fYn8uJVFlglBFMRqNGI3Gct/OnV1GlPs2KsKB+GT6zFmHT7aeT265tWQLH1sP826H0weg4R1QCccRua3BbWyO38zhy4f5YNcHvHDTC2qXJISoJFJTU/nyyy/55ptv6NGjBwBff/01derUKXD+EydOEBQURM+ePdHr9dStW5cOHTrkmScqKsre1aNx48Zs2LCB2bNnFxqEXnjh6ndS/fr1mThxIosWLbIHoVdffZV77703z5GOli1b2uuZO3cuJ06cICTE+o/sxIkTWblyJXPnzmXmzJmAdbDCjz/+mLCwMADuvvtuFixYwLlz53B3dycyMpJbbrmFv//+myFDhpRovZ988ol9vaNGjeKll14CwN3dHRcXF7KysggKCrr+h1EGVSYI+fn5odPpOHfuXJ7p586dK/RNCgoKKtH8ouQCPZwBuJyeQ5bJjNGpBEOc124HOiOknoNLR8CvUTlVWXpOWicmd5jMI388wuJDixnceDBNfJuoXZYQ1ZqLXsf+l3qrtu3iOnLkCNnZ2dx44432ab6+vjRpUvB3xODBg5kzZw4NGzakT58+9O3bl379+uHkdPVP8c0335xnmZtvvrnIs86+//573nvvPY4cOUJqaiomkwlPT0/767t27WLkyIJb3Pfu3YvZbKZx48Z5pmdlZeW53Imrq6s9rID1yEr9+vVxd3fPM8124lJp1xscHFzoyU/lqcoEIYPBQNu2bVmzZo29F7nFYmHNmjWMGjWqwGVuvvlm1qxZYz+NEWDVqlX5djRRet6uegw6LdlmCxdSsqjjU4Jh8vXOUKcdHN8Ax9dXyiAE0D6oPb3q9WLV8VW8vvV1vrz1SxkFV4hypNFoSnR4qqoIDQ3l4MGDrF69mlWrVvHUU0/x5ptvsnbt2jx9eopr06ZNDB06lBkzZtC7d2+8vLxYtGgRb7/9tn0e2/W4CpKamopOp2P79u35rtOVO+RcW5tGoylwmsViKfN6FUUp6kcuF1Xq9Pnx48fz+eef8/XXXxMTE8OTTz5JWlqa/Syyhx56KE9n6jFjxrBy5UrefvttDhw4wPTp09m2bVuhwUmUnEajIcDTeijxXHLWdeYuQL0o6/2xDQ6syvEmtpuIUWdka/xW/jiuTt8FIUTlEhYWhl6vZ/Pmqyd8XL58mUOHDhW6jIuLC/369eO9994jOjqaTZs2sXfvXvvr//77b575//33X5o2bVrgujZu3Ei9evWYMmUK7dq1Izw8nOPHj+eZp0WLFqxZs6bA5Vu3bo3ZbOb8+fM0atQoz60sR04ctV6DwYDZXP6d5qtU5B4yZAgXLlxg6tSpxMfH06pVK1auXGnvEH3ixAm0uU7h7tixI99++y0vvPAC//vf/wgPD+enn36iWbNmav0I1VKgpzOnLmdwPjmz5AvXj4J/gBMFn/lXWYS4hzCi2Qg+2v0Rb255k861O+Omd1O7LCGEitzd3RkxYgSTJk2iVq1aBAQEMGXKlDx/h3KbN28eZrOZG2+8EVdXV7755htcXFyoV6+efZ4NGzbwxhtv0L9/f1atWsXixYv59ddfC1xfeHg4J06cYNGiRbRv355ff/3VfjaYzbRp0+jRowdhYWHce++9mEwmfvvtN5577jkaN27M0KFDeeihh3j77bdp3bo1Fy5cYM2aNbRo0YLbb7+9VO+Lo9Zbv359/vjjDw4ePEitWrXw8vIqVcvZ9VSpFiGwdqY6fvw4WVlZbN68Oc+x2ejoaObNm5dn/sGDB3Pw4EGysrL477//6Nu3bwVXXP0F2luEShGE6rS3jiGUdBISTzi4Msca3mw4ddzrcD7jPJ/u/lTtcoQQlcCbb75J586d6devHz179qRTp060bdu2wHm9vb35/PPPiYqKokWLFqxevZpffvklT7+ZCRMmsG3bNlq3bs0rr7zCO++8Q+/eBfeXuvPOOxk3bhyjRo2iVatWbNy4kRdffDHPPN26dWPx4sX8/PPPtGrViu7du+e5IsPcuXN56KGHmDBhAk2aNKF///5s3bqVunXrlul9ccR6R44cSZMmTWjXrh3+/v5s2FA+Rw40ihoH5KqQ5ORkvLy8SEpKytMBTVw1/ed9zNt4jCe7hfFcn4iSr+Dz7nB6Owz4DFoOcXyBDvTPqX94es3TOGmcWHLnEsK8w66/kBCiUJmZmcTFxdGgQQOcnZ3VLkdVucccEsVT1P5T3L/fVa5FSFQ+gZ7Wna9ULUIAda90Xj+x0UEVlZ8udbrQLbQbJsXEzM0zVenYJ4QQwnEkCIkysx0aO1+aztJwtcP08cofhACea/8cRp2RLfFbWHlspdrlCCGEKAMJQqLMyt4idJP1/uIhSLvooKrKTx2POjza/FEA3tz6Jmk5aSpXJISoDo4dOyaHxVQgQUiUWYBHGTpLA7j6gv+V00Mr+dljNsObDSfUI5QLGRf4eNfHapcjhBCilCQIiTILuNIilJxpIiO7lGM+1LvST+h41QhCRp2RyR2sY1Z9E/MNhy8fVrkiIYQQpSFBSJSZp7MTznrrrnQ+pZStQvZ+QpV7YMXcOtfpTPfQ7pgVs3ScFkKIKkqCkCgzjUZj7yd0PqWUHaZtZ47F74GsFAdVVv6e7fAszjpntp3bxm9xv11/ASGEEJWKBCHhELaLr5a6n5BXbfCuC4oFTm65/vyVRG332oxsYb2g4Vvb3iI5O1nlioQQQpSEBCHhEGW63phN3Y7W+ypyGr3NsBuGUd+zPhczLvL2trevv4AQQohKQ4KQcAj7obHStggB1LsShKrImWM2Bp2BGR1noEHDj4d/ZOOZqhXkhBCl061bNzndvRqQICQcokzXG7OxBaFT28BUhpYlFbQJbMN9EfcBMGPjDBlbSAghqggJQsIhrg6qWIYAU6sRuPmDOQvO7HRQZRVnTJsx1HavzZm0M8zZPkftcoQQVUx2drbaJVSYyvSzShASDhFg6yxd2tPnATSaq6NMV6HT6G1c9a5M7zgdgEUHF7Etfpu6BQlRVSkKZKepcyvhMBgWi4Vnn30WX19fgoKCmD59uv21EydOcNddd+Hu7o6npyf33HMP586ds78+ffp0WrVqxRdffJHnoqFLliyhefPmuLi4UKtWLXr27Ela2tVW5i+++IKmTZvi7OxMREQEH330kf21Y8eOodFoWLRoER07dsTZ2ZlmzZqxdu3aPHWvXbuWDh06YDQaCQ4O5vnnn8dkMgGwYsUKvL29MZut48Lt2rULjUbD888/b1/+0Ucf5YEHHrA/X79+PZ07d8bFxYXQ0FBGjx6dp+b69evz8ssv89BDD+Hp6cljjz1Wove5PDmpXYCoHsp8vTGbelEQ84t1YMXODiisgt0UfBODwgex9PBSpm6cypJ+S3DVu6pdlhBVS046zAxRZ9v/OwMGt2LP/vXXXzN+/Hg2b97Mpk2bGDZsGFFRUfTo0cMegtauXYvJZOLpp59myJAhREdH25ePjY1l6dKl/Pjjj+h0Os6ePct9993HG2+8wYABA0hJSWHdunX2ccoWLlzI1KlT+eCDD2jdujU7d+5k5MiRuLm58fDDD9vXO2nSJObMmUNkZCTvvPMO/fr1Iy4ujlq1anH69Gn69u3LsGHDmD9/PgcOHGDkyJE4Ozszffp0OnfuTEpKCjt37qRdu3asXbsWPz+/PHWvXbuW5557DoAjR47Qp08fXnnlFb766isuXLjAqFGjGDVqFHPnzrUv89ZbbzF16lSmTZtWyg+nfEgQEg5hG106NctEapYJd2Mpdy3beEInN4PFDFqdgyqsOBPaTWD96fWcTDnJW9veYurNU9UuSQhRTlq0aGH/wx4eHs4HH3zAmjVrANi7dy9xcXGEhoYCMH/+fG644Qa2bt1K+/btAeshovnz5+Pv7w/Ajh07MJlMDBw4kHr16gHQvHlz+/amTZvG22+/zcCBAwFo0KAB+/fv59NPP80ThEaNGsWgQYMA+Pjjj1m5ciVffvklzz77LB999BGhoaF88MEHaDQaIiIiOHPmDM899xxTp07Fy8uLVq1aER0dTbt27YiOjmbcuHHMmDGD1NRUkpKSiI2NpWvXrgDMmjWLoUOH2juOh4eH895779G1a1c+/vhje0tX9+7dmTBhguM/hDKSICQcwt3ohLvRidQsE+eTM3H3dy/dioKag8EDspLh3D4IbuHYQiuAh8GDVzq9wsg/R7L40GK61ulK19CuapclRNWhd7W2zKi17RJo0SLvd1RwcDDnz58nJiaG0NBQewgCiIyMxNvbm5iYGHsQqlevnj0EAbRs2ZIePXrQvHlzevfuza233srdd9+Nj48PaWlpHDlyhBEjRjBy5Ej7MiaTCS8vrzx13HzzzfbHTk5OtGvXjpiYGABiYmK4+eab0Wg09nmioqJITU3l1KlT1K1bl65duxIdHc2ECRNYt24ds2bN4ocffmD9+vUkJCQQEhJCeHg4ALt372bPnj0sXLjQvj5FUbBYLMTFxdG0qfVaku3atSvRe1tRJAgJhwnwNJJ6wcS55CwaljYIaXUQ2gGOrLGOJ1QFgxBYD5E9GPkgC/YvYOrGqfx454/UcqmldllCVA0aTYkOT6lJr9fnea7RaLBYLMVe3s0t78+p0+lYtWoVGzdu5M8//+T9999nypQpbN68GVdXa0j7/PPPufHGG/Mt50jdunXjq6++Yvfu3ej1eiIiIujWrRvR0dFcvnzZ3hoEkJqayuOPP87o0aPzradu3br2x9f+rJWFdJYWDmMbXbrU1xuzsZ1Gf3x9GStS15g2Y2jk3YiEzASmb5ou1yITogZp2rQpJ0+e5OTJk/Zp+/fvJzExkcjIyCKX1Wg0REVFMWPGDHbu3InBYGDZsmUEBgYSEhLC0aNHadSoUZ5bgwYN8qzj33//tT82mUxs377d3jLTtGlTNm3alOc7acOGDXh4eFCnTh0Aez+h2bNn20OPLQhFR0fTrVs3+7Jt2rRh//79+Wpq1KgRBoOhdG9gBZIgJBzGYR2m61/pJX1sPZTgP6vKxqgz8lrn13DSOhF9MpplscvULkkIUUF69uxJ8+bNGTp0KDt27GDLli089NBDdO3atchDRJs3b2bmzJls27aNEydO8OOPP3LhwgV7iJkxYwazZs3ivffe49ChQ+zdu5e5c+fyzjvv5FnPhx9+yLJlyzhw4ABPP/00ly9f5pFHHgHgqaee4uTJkzzzzDMcOHCA5cuXM23aNMaPH49Wa40FPj4+tGjRgoULF9pDT5cuXdixYweHDh3K0yL03HPPsXHjRkaNGsWuXbs4fPgwy5cvZ9SoUY58S8uNBCHhMFfHEipji1DtNqB3g4zLcH6fAypTTxPfJjzT+hkAXtvyGseTj6tckRCiImg0GpYvX46Pjw9dunShZ8+eNGzYkO+//77I5Tw9Pfnnn3/o27cvjRs35oUXXuDtt9/mtttuA6ynrX/xxRfMnTuX5s2b07VrV+bNm5evRei1117jtddeo2XLlqxfv56ff/4ZPz8/AGrXrs1vv/3Gli1baNmyJU888QQjRozghRdeyLOOrl27Yjab7UHI19eXyMhIgoKCaNKkiX2+Fi1asHbtWg4dOkTnzp1p3bo1U6dOJSREpTP/SkijSHt9kZKTk/Hy8iIpKQlPT0+1y6nUvlwfx8sr9tOvZQjv39e6bCv75m6IXQW9Z8LNTzumQJWYLWYe/fNRtp3bRlPfpizouwCjzqh2WUJUCpmZmcTFxeUZR0eU3rFjx2jQoAE7d+6kVatWapdT7oraf4r791tahITDOOQyGzYNrhwei1tX9nWpTKfV8Vrn1/A2ehOTECMXZhVCiEpEgpBwGNvo0mW68KpNgy7W++MbwGwq+/pUFugWyMxOMwH47sB3rDq+SuWKhBBCgAQh4UBXW4Syyn6GVFALcPayjicUv9sB1amvc53ODG82HIBpG6ZxKuWUyhUJIaqb+vXroyhKjTgs5igShITD2DpLZ+SYSc4sYyuOVgf1Olkfx/1Txsoqj2daP0NL/5ak5KQwae0kcsw5apckhBA1mgQh4TDOeh1eLtbBxS6UdSwhqFb9hGz0Wj1vdHkDT4Mn/136j9e3vq52SUIIUaNJEBIOlfvwWJnZ+gmd2ASm7LKvr5IIcQ9hVudZAHx/8Ht+iv1J3YKEEKIGkyAkHMp2eCw+yQEtQv5NwbWW9UrUp7eXfX2VSJc6XXiq1VMAvLzpZfZdrNrjJQkhRFUlQUg4lO3MsXOOODSm1eYaZbr6HB6zebzF43QL7Ua2JZux0WO5lHFJ7ZKEEKLGkSAkHMphl9mwsfcTqj4dpm20Gi0zO82kvmd94tPimfTPJEyWqj9UgBBCVCUShIRDOewyGzYNrlzP5uQWyMlwzDorEQ+DB3NumYOrkytb47fy1ra31C5JCKGC+vXrM2fOnGLPf+zYMTQaDbt27Sq3mmoKCULCoRwehGo1AvcgMGdZw1A1FOYdxqudXgVgYcxCFh1YpHJFQoiKtnXrVh577DGHrnPevHl4e3s7dJ3VkQQh4VAOPWsMQKO5evZY3FrHrLMS6lmvJ6NbjwasF2ddf3q9yhUJISqSv78/rq6uapdRI0kQEg5laxE6n5KJxeKg6/mG3WK9P/K3Y9ZXST3a/FHuDLsTs2Jm4tqJHL58WO2ShFCFoiik56SrcivuqPgrVqzA29sbs9kMwK5du9BoNDz//PP2eR599FEeeOABANavX0/nzp1xcXEhNDSU0aNHk5aWZp/32kNjBw4coFOnTjg7OxMZGcnq1avRaDT89NNPeeo4evQot9xyC66urrRs2ZJNmzYBEB0dzfDhw0lKSkKj0aDRaJg+fXopPo3qz0ntAkT14u9hbRHKMStcTs+mlrsDrrLesJv1/sxOSE8AV9+yr7MS0mg0TL95OqdTT7P93HZGrRnFwtsX4ufip3ZpQlSoDFMGN357oyrb3nz/Zlz112+Z6dy5MykpKezcuZN27dqxdu1a/Pz8iI6Ots+zdu1annvuOY4cOUKfPn145ZVX+Oqrr7hw4QKjRo1i1KhRzJ07N9+6zWYz/fv3p27dumzevJmUlBQmTJhQYB1TpkzhrbfeIjw8nClTpnDfffcRGxtLx44dmTNnDlOnTuXgwYMAuLu7l+5NqeakRUg4lF6nxc/dADjw8JhniHVMIZRqfXgMQK/TM6fbHOp61OVM2hnG/DWGDFP16yQuRFXn5eVFq1at7MEnOjqacePGsXPnTlJTUzl9+jSxsbF07dqVWbNmMXToUMaOHUt4eDgdO3bkvffeY/78+WRm5u9PuWrVKo4cOcL8+fNp2bIlnTp14tVXXy2wjokTJ3L77bfTuHFjZsyYwfHjx4mNjcVgMODl5YVGoyEoKIigoCAJQoWQFiHhcIGezlxMzeZcSiaReDpmpWG3wIUYOPIX3DDAMeuspLydvfmwx4cM/W0oey7uYdLaScy5ZQ5OWvl1FTWDi5MLm+/frNq2i6tr165ER0czYcIE1q1bx6xZs/jhhx9Yv349CQkJhISEEB4ezu7du9mzZw8LFy60L6soChaLhbi4OJo2bZpnvQcPHiQ0NJSgoCD7tA4dOhRYQ4sWLeyPg4ODATh//jwRERHF/jlqOvlmFQ4X6OnMvjPJnHPE6NI2Yd3h34/gSDQoirUTdTVW36s+73V/j8dXPc7aU2uZsWkGL3V8CU01/7mFAOth4uIcnlJbt27d+Oqrr9i9ezd6vZ6IiAi6detGdHQ0ly9fpmtX6/AfqampPP7444wePTrfOurWrVumGvR6vf2x7fvBYrGUaZ01jRwaEw7n8DPHAOp1BJ0Bkk5AwlHHrbcSaxvYlje7vIlWo+Wn2J+Ys2OO2iUJIXKx9ROaPXu2PfTYglB0dDTdunUDoE2bNuzfv59GjRrluxkMhnzrbdKkCSdPnuTcuXP2aVu3bi1xfQaDwd6ZWxROgpBwOIdeZsPG4AahVzpPHvnLceut5G6pewvTbp4GwFf/fcX8ffNVrkgIYePj40OLFi1YuHChPfR06dKFHTt2cOjQIXs4eu6559i4cSOjRo1i165dHD58mOXLlzNq1KgC19urVy/CwsJ4+OGH2bNnDxs2bOCFF14AKFGrcP369UlNTWXNmjVcvHiR9PT0sv3A1ZQEIeFw9lPoHTWook0NOY3+WgPDBzKmzRgA3tz2Jj8f+VnlioQQNl27dsVsNtuDkK+vL5GRkQQFBdGkSRPA2o9n7dq1HDp0iM6dO9O6dWumTp1KSEhIgevU6XT89NNPpKam0r59ex599FGmTJkCgLOzc7Fr69ixI0888QRDhgzB39+fN954o2w/bDWlUYo7aEINlZycjJeXF0lJSXh6OqjjbzX314FzPDJvG81re/HLM50ct+LTO+DzW8DgAc/FgU5//WWqCUVReGPrG3wT8w1ajZbXO79OnwZ91C5LiDLLzMwkLi6OBg0alOiPfE2zYcMGOnXqRGxsLGFhYWqXU2kUtf8U9++3dJYWDmc7NBbv6Bah4Jbg4gsZCXB6O9S9ybHrr8Q0Gg2T2k8iw5TB0sNLeX7d8zhpnehZr6fapQkhysGyZctwd3cnPDyc2NhYxowZQ1RUlISgciCHxoTD2Q6NXUzNwmR24NkLWh00vHIR1hrUT8hGq9Ey9eap9tGnJ62dRPTJaLXLEkKUg5SUFJ5++mkiIiIYNmwY7du3Z/ny5WqXVS1JEBIOV8vNgE6rQVHgYmq2Y1ce1t16X8P6CdloNVpe6vgSfRv0xaSYGB89nnWn1qldlhDCwR566CEOHTpEZmYmp06dYt68edSqVUvtsqolCULC4bRaDQEetlPoHXx4rOGVDtOnt0NGomPXXUXotDpe7fQqver1IseSw9i/x0oYEkKIUpIgJMpFwJXDYw4PQt6hUCscFHO1v9xGUZy0Trze5XW6h3Yn25LN6L9Hs/r4arXLEqLUZBBAURqO2G+ks7QoF0GeRnZTDkEIoFFPuHQYDq+CyLscv/4qQq/V81a3t/jfuv+x8thKJq6dyMtRL9MvrJ/apQlRbAaDAa1Wy5kzZ/D398dgMMgI6uK6FEUhOzubCxcuoNVqCxyYsrgkCIlyEWhvEXLg6NI24b1g88cQu7pGXG6jKHqtntc6v4ZRZ2T5keVMWT+FTHMmgxsPVrs0IYpFq9XSoEEDzp49y5kzZ9QuR1Qxrq6u1K1bF6229Ae4JAiJchFYXofGAOpFgd4VUs7Cuf8gqLnjt1GF6LQ6Xop6CRcnFxYdXMRLm14iPSedh294WO3ShCgWg8FA3bp1MZlMckkIUWw6nQ4nJ6cytyBKEBLlwt5ZOqUcWoT0ztCgCxxaCYf/rPFBCKxnk/3vxv/hondh7n9zeWvbW1zMuMi4tuPQaqQroKj8NBoNer0+z0VEhagI8g0pykW5XWbDptGVgQQPSwdhG41Gw7g24xjbZiwA8/bNY8r6KeRYctQtTAghKjEJQqJcBHmV0+jSNuG9rPcnN9fY0+gLotFoGNF8BK9EvYJOo2PF0RU8s+YZ0nPkYotCCFEQCUKiXAReucxGYnoOmTnlcMzfpz74NbGeRn+0Zg6uWJS7Gt3F+93fx8XJhQ1nNjBs5TDi0+LVLksIISodCUKiXHi6OGF0su5eF8qjnxBcbRU6vKp81l/Fda7TmS9u/QIfow8xCTHc/+v9/HfxP7XLEkKISkWCkCgXGo2mfM8cg6tBKHY1yGBsBWrh34Jvb/+WRt6NuJBxgWErh7EybqXaZQkhRKUhQUiUm0BP22U2yqlFqO7NoHeD1HMQv6d8tlEN1PGow4LbFtClTheyzFlM+mcSH+36CEVR1C5NCCFUJ0FIlJtybxFyMkLDbtbHcnisSO4Gd9675T0ejrSOLfTx7o+ZsHYCaTlpKlcmhBDqkiAkyk25ByGA8Cun0cdKELoenVbHxPYTeanjSzhpnVh1fBX3rriXI4lH1C5NCCFUI0FIlJurh8bKMQg1utJP6NRWSE8ov+1UIwPCBzCvzzwCXQM5lnyM+369j9/jfle7LCGEUEWVCUIJCQkMHToUT09PvL29GTFiBKmpqUUu061bNzQaTZ7bE088UUEVi3K93piNdygENgPFYh1lWhRLS/+W/NDvB24MvpEMUwbP/vMsr215jRyzDL4ohKhZqkwQGjp0KPv27WPVqlWsWLGCf/75h8cee+y6y40cOZKzZ8/ab2+88UYFVCsAAjwq4NAYQJPbrPcHfyvf7VQzvs6+fNrzU0Y2HwnAwpiFPPj7gxxPPq5yZUIIUXGqRBCKiYlh5cqVfPHFF9x444106tSJ999/n0WLFl33asWurq4EBQXZb56enhVUtQjONbp0uZ6hZAtCsWvAVI6tT9WQTqtjdJvRvN/9fTwNnuy7tI/Bvwzmp9if5KwyIUSNUCWC0KZNm/D29qZdu3b2aT179kSr1bJ58+Yil124cCF+fn40a9aMyZMnk55e9KUGsrKySE5OznMTpWO7zEZ6tpnkTFP5bSi4NbgHQXYqHFtXftupxrqFdmPpnUtpH9SeDFMGL254kWf/eZbkbNn/hRDVW5UIQvHx8QQEBOSZ5uTkhK+vL/HxhV824P777+ebb77h77//ZvLkySxYsIAHHnigyG3NmjULLy8v+y00NNQhP0NN5KzX4e1qvZJ0fFI5Hh7TaqFJH+vjg9Lpt7SC3IL4vNfnjG49Gp1Gx8pjKxn882C2xm9VuzQhhCg3qgah559/Pl9n5mtvBw4cKPX6H3vsMXr37k3z5s0ZOnQo8+fPZ9myZRw5UvjpwpMnTyYpKcl+O3nyZKm3LyDIs5wvvmrTpK/1/uDvIId0Sk2n1TGyxUjm3zafOu51OJN2hkf+eISZm2fKhVuFENWSk5obnzBhAsOGDStynoYNGxIUFMT58+fzTDeZTCQkJBAUFFTs7d14440AxMbGEhYWVuA8RqMRo9FY7HWKogV7OXMgPoX4pIzy3VCDLqB3heTT1lGmg1uW7/aquRb+LVjcbzFvbXuLpYeX8t2B7/jn1D+8HPUy7YPaq12eEEI4jKpByN/fH39//+vOd/PNN5OYmMj27dtp27YtAH/99RcWi8Uebopj165dAAQHB5eqXlFyQV4uAJwtz0NjAHoXCOsOB1ZYW4UkCJWZu8Gd6R2nc2u9W5m2aRqnU0/zyB+PcG+TexnXdhyuele1SxRCiDKrEn2EmjZtSp8+fRg5ciRbtmxhw4YNjBo1invvvZeQkBAATp8+TUREBFu2bAHgyJEjvPzyy2zfvp1jx47x888/89BDD9GlSxdatGih5o9To9gPjZV3EAI5jb6cdKzdkWV3LuPuxncDsOjgIgYsH0D0yWhV6xJCCEeoEkEIrGd/RURE0KNHD/r27UunTp347LPP7K/n5ORw8OBB+1lhBoOB1atXc+uttxIREcGECRMYNGgQv/zyi1o/Qo2U+xT6chfeG9DA2d2QdLr8t1eDuBvcmXbzND7r9RkhbiGcSTvDM389w+i/RnM29aza5QkhRKlpFBkspEjJycl4eXmRlJQkYxCVwj+HLvDQV1uICPJg5dgu5b/BL2+Fk5vh9reh/aPlv70aKD0nnU/3fMr8ffMxKSZcnFx4ouUTPBj5IHqtXu3yhBACKP7f7yrTIiSqJttYQuXeR8jGdnjsgBweKy+uelfGtR3H4n6LaRPQhgxTBrO3z2bQz4NYd0rGcRJCVC0ShES5sgWhpIwcMrLN5b/BJrdb7+P+gcyk8t9eDdbIpxHz+szjlahX8DH6EJcUx1NrnuKJVU8QezlW7fKEEKJYJAiJcuVhdMLNoAMqqJ+Qf2PwawKWHDj0R/lvr4bTaDTc1eguVgxcwbAbhuGkdWLDmQ3c/cvdvPLvK1zOvKx2iUIIUSQJQqJcaTSaXIfHynksIZum/az3MT9XzPYEngZPJrSbwPK7ltOjbg/MipnvD35P3x/78unuT0nLSVO7RCGEKJAEIVHubEGoQk6hB4i803p/eDVkyx/gilTXsy5zbpnDV72/oqlvU1JzUvlg1wfctvQ25u+bT5ZZLoorhKhcJAiJchfkWUGDKto32AK864EpA2JXV8w2RR7tg9qz6I5FvNHlDep51uNy1mXe3PYmfX/sy+JDi8mx5KhdohBCABKERAWwjSV0riL6CAFoNLkOj8m4UWrRarTc1uA2frrrJ2Z0nEGQWxDn08/z0qaX6LesHz8c/EFaiIQQqpMgJMpdhZ9CDxB5l/X+0B9gkj+2anLSOjEwfCC/DviV5zs8j6+zL6dTT/Pyvy/TZ2kf5v43V/oQCSFUI0FIlLsKvcyGTe124BEMWclwNLritisKZdAZGNp0KCsHreT5Ds8T5BbExYyLvLP9HXot6cUHOz+Qs8yEEBVOgpAod6q0CGm1EHGH9fF+OXusMnFxcmFo06H8NuA3Xo56mfqe9UnJTuHTPZ/Se2lvXt70MkcTj6pdphCihpAgJMqdrY/QpbQssk2Wituw7eyxg7+C2VRx2xXFotfp6d+oPz/d9RPvdHuHpr5NyTBl8MOhH7hr+V08vupx/jn1DxalAvcZIUSNI0FIlDtfNwMGnRZFgfMpFdgqVLcjuNaCjMtwfH3FbVeUiE6ro1e9Xnx/x/d81fsruod2R4OGjWc28vSap7nrp7tYGLOQpCwZKVwI4XgShES502g0BHoZgQruJ6RzgiZ9rY/3L6+47YpS0Wg0tA9qz7vd3+W3gb/xUORDeOg9OJZ8jNe2vEaPxT2YvG4y289tR64VLYRwFAlCokIEV/RYQjY39Lfe7/9ZDo9VIXU86jCp/SRWD17NlBun0NinMVnmLFYcXcGwlcO4a/ldfL3vaxIyE9QuVQhRxUkQEhUiqKLHErJp0NV6eCz9Ihz7p2K3LcrMVe/KvRH3sqTfEr7t+y2Dwgfh4uRCXFIcb217ix4/9OCZNc+w8thKMk0VvG8JIaoFJ7ULEDVDsBpnjgHo9NYxhbZ9Bf8thbDuFbt94RAajYbm/s1p7t+cie0m8vux31l6aCn7Lu0j+lQ00aeicdO70ateL+5oeAftAtuh0+rULlsIUQVIi5CoEIFqjCVkc8NA633ML2DKrvjtC4dyN7gzuPFgFt2xiJ/u+omRzUcS4hZCWk4aP8X+xKN/PsqtS2/l9S2vs/3cdswWs9olCyEqMWkREhUiuKKvQJ9bvY7gHgSp8XDkL2jSp+JrEOUizDuM0W1GM6r1KHae38mKoyv449gfnE8/zzcx3/BNzDfUcq5Fj7o96FGvB+2D2qPX6tUuWwhRiUgQEhXiah8hFS53odXBDQNg88fWw2MShKodrUZL28C2tA1sy+QOk1l/ej2rj68m+mQ0lzIv8cOhH/jh0A94Gb3oVqcb3et256bgm3DVu6pduhBCZRKERIXI3VnabFHQaTUVW0CzQdYgdPA3yE4Hg/wBrK4MOgPd63ane93u5Jhz2BK/hdUnVvPXib9IyExg+ZHlLD+yHL1WT9vAtnSq3YnOtTvTwKsBGk0F75dCCNVpFBmQo0jJycl4eXmRlJSEp6en2uVUWSazhcYv/I5FgS3/60HAlT5DFUZRYE4LSDoBg7++elq9qDHMFjM7zu9g9fHV/HPqH06lnsrzeohbiDUU1elMh6AO0lokRBVX3L/fEoSuQ4KQ49w0cw3xyZksfzqKlqHeFV/AqmmwYQ40vROGLKj47YtKQ1EUjiUfY/3p9aw/vZ5t8dvItlztSK/X6mnh34IOQR1oH9Selv4tMegMKlYshCgpCUIOIkHIcfp/uIFdJxP59MG29L4hqOILOLsHPu0MTs4w8TA4y+cprNJz0tkav5V1p9ex/vR6TqeezvO6UWeklX8r2ge1p31Qe5r5NZNgJEQlV9y/39JHSFSYIDVPoQcIag61wuHSYTj4O7Qcok4dotJx1bvSNbQrXUO7oigKJ1JOsCV+C1vPbmVL/BYuZV5ic/xmNsdvBsCgNRBZK5JWAa1o5d+KlgEt8XPxU/mnEEKUhgQhUWFsHabPqHEKPYBGY+00vfY12LtYgpAokEajoZ5nPep51mNw48EoikJcUhxb4rewJX4L289tJyEzgV0XdrHrwi77crXda9uDUTO/ZoT7hGPUGdX7QYQQxSJBSFSYEG+VW4QAmg+2BqEjf0HqeXAPUK8WUSVoNBoaejekoXdD7o24195itPvCbnadt4ah2MuxnE49zenU0/x69FcAnDRONPJpRGStSJr6NiWyViSNfRrj7FTBJwoIIYokQUhUmGCvKxdeTVQxCPk1gtpt4fR265hCNz2pXi2iSsrdYnRn2J0ApGSnsPfCXms4urCL/Zf2k5iVyIGEAxxIOGBfVqfREeYdRlPfpkT4RhDmHUa4Tzi1nGvJqftCqESCkKgwthah04kqHRqzaXGvNQjtXiRBSDiEh8GDjrU70rF2R8B6VtrZtLPEXIph36V97E/YT8ylGBIyEzh0+RCHLh9i+ZHl9uW9jd6EeYfRyLsR4d7h9oDkZfRS60cSosaQICQqTIi3tUVItUEVbZoNgj8mw9ldcOEg+DdRpw5RbWk0GkLcQwhxD6FHvR6ANRydSz/Hvkv7iLkUQ2xiLLGJsZxIPkFiViLbz21n+7ntedbj7+JPQ++G1PesT6hHKPU861HXsy513OvIWWtCOIgEIVFhAjyc0Wk1mCwKF1Oz7BdirXButaBRLzj0u7VVqOc0deoQNYpGoyHILYggtyB61O1hn55pyiQuKc4ejGITY4m9HMuZtDNcyLjAhYwLbD67Oc+6tBotwW7B9nBkD0kedanjISFJiJKQICQqjE6rIdDDyJmkTE4nZqgXhMB6xtih361nj3V/EbRa9WoRNZqzkzNNazWlaa2meaan5aRxJPEIRxKPcDLlJMeTj9vv003p9s7Z/579N89yGjQEugUS4hZCsHswwW7WW4h7iP2xjJotxFUShESFCvF24UxSprXDdF0VC2l8Gxi9IOkkHN8ADTqrWIwQ+bnp3Wjh34IW/i3yTFcUhUuZlziRfIITKSc4kXwiX0iKT4snPi0ezhe8bm+jN8FuwQS5BRHgGoC/i7/13tXf/tjb6C0duEWNIEFIVKhgbxc4fpkzaneY1jvDDXfBjvmwZ5EEIVFlaDQa/Fz88HPxo01gmzyv2ULS6dTTnE09y5m0M5xNPcvZNOvj+NR4UnJSSMxKJDErkZiEmEK346R1wt/FH39XfwJcrCHJz8UPH2cffI2++Lr44mP0wcfZB0+Dp4QmUWVJEBIVKkTtQRVza3GvNQjt/xn6vgV6F7UrEqJMcoeklv4tC5wnJTuFs2lnOZt6lvi0eHs/pPPp57mQbn2ckJmAyWKyzpd29rrbddI44e3sbQ1Jzr74Gn3xcfaxP/dx9sHL4IWHwQNPoyceBg/c9e5oNXJIWqhPgpCoULYzx1QdS8im7s3gVdd6RfoDv0Lzu9WuSIhy52HwwMPgQWOfxoXOk2PO4WLGRc5nnOdiuvX+fPp5LmVc4nLmZRKyEqz3mQmk5aRhUkxczLjIxYyLxa5DgwZ3gzueBk/7zR6U9B55QlPuedwN7rjp3XDWOaPT6hzxlogaToKQqFDBlalFSKuFVvfB2tdh5zcShIS4Qq/TWztauwdfd94scxaXMy/bb5cyrWHpctZle1i6nHmZ5OxkUrJTSM5OJsuchYJCSnYKKdkpnOb0dbdTEGedM656V1ycXHBxcrE/dnVytT8v6WMJWDWPBCFRoWwtQmcqQ4sQQKv7rUHoaDQkngBvNXtwC1H1GHVG+7AAxZVlzrKHopTsFJKzkvM+z3WfZ54ca3CyKBYAMs2ZZJod/11iC1hGnTHPzaAzYHQyYtRefe7s5Gydbnuuu/o8902v1aPX6a33Wj1OWifrc411upPWyf6aXqfHSeMk/a4qiAQhUaFsQehiahZZJjNGJ5X/8/KpDw26Qtxa2LkQbpmsbj1C1ABGnRGjixE/F78SL6soCtmWbNJz0kk3pZORk0G6qXiPM0wZ+Z/b1mPKKPeAVVJ5wlFBQaqQ6VqNFp1Gh06rs95rdGg12ryv5Xpdq9Hmmdf2mlajxUnjhFZ75V6jzbMe2zT7stfZXu71XPuaq95VtfGvJAiJCuXjqsfopCXLZCE+KZN6tdzULglaP2gNQrsWQtdnQZrFhai0NBqNvZXFBx+HrVdRFLLMWfZQlJaTRrY5m0xTJtnmbLLMWWRZssgyZZFlzro6zVzwc9s02/I5lhz7zWQxXX1uvjr9WiaLCZPFRAaVoCtBOXvxphe5p8k9qmxbgpCoUBqNhtreLhy9mMaZxEoShJreAc5XxhSKWwth3dWuSAhRwTQaDc5Ozjg7qTPQq6IomBTT1ZCUKyDlCU/ma6aZc8hRrNNt85gVMxbFgsliwqJYMCtmzJYr05Qr0yxm6/Qrr9mWyf382vWYFBMWiyXPcvZlrpmWZ5lc2ytoG4CqZxBKEBIVLtjb+UoQqiT/5ehdoPk9sPVz2LFAgpAQosJpNBprfyGtHhdqzlAeiqJgUSyq9oeSQRxEhQv2unIKfWU4c8ymzYPW+wMrID1B3VqEEKKG0Gg09v5IapEgJCqc/cyxJPU7I9oFt4Sg5mDOhj0/qF2NEEKICiJBSFQ4++jSleXQmE3rh6z3OxeAoqhbixBCiAohQUhUuODKNLp0bs3vBp0Rzv0HZ3aqXY0QQogKIEFIVLja3pW0RcjVFyLvtD7ePlfdWoQQQlQICUKiwtk6S6dkmUjJzD92hqraPWK937sEMpPUrUUIIUS5kyAkKpyb0QkvFz0AZytTh2mwXojVvynkpMPuRWpXI4QQopxJEBKqsF189XRlOzym0UD7EdbHW7+UTtNCCFHNSRASqgiprB2mAVoMAb0bXDwIxzeoXY0QQohyJEFIqCKksnaYBnD2hBaDrY+3faVuLUIIIcqVQ4KQ2Wxm165dXL582RGrEzWArcP0mco0unRutk7T+3+G1PPq1iKEEKLclCoIjR07li+//BKwhqCuXbvSpk0bQkNDiY6OdmR9opqytQhVykNjYB1punY7sORYB1gUQghRLZUqCC1ZsoSWLVsC8MsvvxAXF8eBAwcYN24cU6ZMcWiBonoKqewtQnC10/S2eWAxq1qKEEKI8lGqIHTx4kWCgoIA+O233xg8eDCNGzfmkUceYe/evQ4tUFRP9s7SSZkolfXMrBsGgIsPJJ2Ag7+rXY0QQohyUKogFBgYyP79+zGbzaxcuZJevXoBkJ6ejk6nc2iBonoK9HRGo4Fsk4VLadlql1MwvcvVvkIb31e3FiGEEOWiVEFo+PDh3HPPPTRr1gyNRkPPnj0B2Lx5MxEREQ4tUFRPBict/u5GoJKeOWbT4THQGeDkv3BMTqUXQojqplRBaPr06XzxxRc89thjbNiwAaPR+gdNp9Px/PPPO7RAUX3ZDo+dulyJg5BHELR+wPo4epa6tQghhHC4UgWh+fPn069fP8aNG0edOnXs0++77z6SkuT6TKJ4mgR6ALDvTCXfZzpPsLYKHVsHcevUrkYIIYQDlfrQWEGBJyUlheHDh5e5KFEztAj1AmD3yUoehLzqQJuHrI+jZ8llN4QQohopVRBSFAWNRpNv+qlTp/Dy8ipzUaJmaFnHG4DdpxKxWCp5uOg03toqdHwDxP2jdjVCCCEcxKkkM7du3RqNRoNGo6FHjx44OV1d3Gw2ExcXR58+fRxepKiemgR5YHTSkpJp4tilNBr6u6tdUuG8akPb4bDlU2urUIMu1gu0CiGEqNJKFIT69+8PwK5du+jduzfu7lf/cBkMBurXr8+gQYMcWqDNq6++yq+//squXbswGAwkJiZedxlFUZg2bRqff/45iYmJREVF8fHHHxMeHl4uNYqS0eu03BDiyY4Tiew+lVi5gxBAp3Gw42s4sQmORkPYLWpXJIQQooxKFISmTZsGQP369RkyZAjOzs7lUlRBsrOzGTx4MDfffLP98h7X88Ybb/Dee+/x9ddf06BBA1588UV69+7N/v37K7R2UbiWod7sOJHIrhOJDGhd5/oLqMkz2NoqtPlj+HsmNOwmrUJCCFHFaZQyDOubnZ3N+fPnsVgseabXrVu3zIUVZt68eYwdO/a6LUKKohASEsKECROYOHEiAElJSQQGBjJv3jzuvffeApfLysoiKyvL/jw5OZnQ0FCSkpLw9PR02M8hrFbsOcOob3dyQ4gnv47urHY515cSD++2AlMG3PsdRPRVuyIhhBAFSE5OxsvL67p/v0vVWfrw4cN07twZFxcX6tWrR4MGDWjQoAH169enQYMGpS7akeLi4oiPj7cP9gjg5eXFjTfeyKZNmwpdbtasWXh5edlvoaGhFVFujdWuni8AMWeTScnMUbmaYvAIgpuesD5e85Jcg0wIIaq4UgWhYcOGodVqWbFiBdu3b2fHjh3s2LGDnTt3smPHDkfXWCrx8fGA9XIguQUGBtpfK8jkyZNJSkqy306ePFmuddZ0QV7OhPq6YFFgx4lEtcspnqix4OwNF2Jg9yK1qxFCCFEGJeojZLNr1y62b99e5stpPP/887z++utFzhMTE1Ohl+0wGo32kbJFxWhf35eTCafZdiyBro391S7n+ly8rYMsrnrR2leo2SDQS58zIYSoikoVhCIjI7l48WKZNz5hwgSGDRtW5DwNGzYs1bqDgoIAOHfuHMHBwfbp586do1WrVqVapygf7ev78uOO02w9lqB2KcXX4THY/Akkn4KtX0DHUWpXJIQQohRKFYRef/11nn32WWbOnEnz5s3R6/V5Xi9up2J/f3/8/cunBaBBgwYEBQWxZs0ae/BJTk5m8+bNPPnkk+WyTVE67ev7ALDrZCLZJgsGp1Idsa1YemfoNhl+HgXr3oI2D4KzDCYqhBBVTan+4vTs2ZN///2XHj16EBAQgI+PDz4+Pnh7e+Pj4+PoGgE4ceIEu3bt4sSJE5jNZnbt2sWuXbtITU21zxMREcGyZcsA0Gg0jB07lldeeYWff/6ZvXv38tBDDxESEmIfD0lUDmH+7vi46snMsfBfZb/uWG4t7wO/JpBxGTa8p3Y1QgghSqFULUJ///23o+u4rqlTp/L111/bn7du3dpeS7du3QA4ePBgnmugPfvss6SlpfHYY4+RmJhIp06dWLlypYwhVMloNBra1fdl1f5zbDuWQJu65ROmHU7nBD2mwvdDYdOH0O4R6wjUQgghqowyjSNUExR3HAJRNp/9c4SZvx2gV2Qgnz/UTu1yik9RYO5t1tGmm98Dgz5XuyIhhBCU8zhCAOvWreOBBx6gY8eOnD59GoAFCxawfv360q5S1GDt6lvHE9p2LIEqlc01GugzC9DA3h/g5Fa1KxJCCFECpQpCS5cupXfv3ri4uLBjxw77SMxJSUnMnDnToQWKmqFZiBfOei2X03M4ciH1+gtUJiGtodVQ6+OVz1tbiYQQQlQJpQpCr7zyCp988gmff/55njPGoqKiKs2AiqJqMThpaRXqDcDWY5fVLaY0erwIBnc4vQ32Lla7GiGEEMVUqiB08OBBunTpkm+6l5dXsa4KL0RB2l85PFalxhOy8QiCzuOtj1dNg+w0desRQghRLKUKQkFBQcTGxuabvn79+lIPgCjE1X5CVbBFCOCmp8GrLqSckdPphRCiiihVEBo5ciRjxoxh8+bNaDQazpw5w8KFC5k4caIMVihKrU1db7QaOJGQzrnkTLXLKTm9M9z6kvXxhnchUa5TJ4QQlV2pxhF6/vnnsVgs9OjRg/T0dLp06YLRaGTixIk888wzjq5R1BAeznqaBnuy70wyW48lcEeLELVLKrnI/lAvCo5vgD8mw5Bv1K5ICCFEEUrVIqTRaJgyZQoJCQn8999//Pvvv1y4cIGXX37Z0fWJGsbeTyiuCvYTAuvp9H3fAo0OYn6BQ3+qXZEQQogilOmiTgaDgcjISDp06IC7u7ujahI1WIcG1iC0uaoGIYDASLj5Kevj3ydBToa69QghhChUsQ+NDRw4kHnz5uHp6cnAgQOLnPfHH38sc2GiZrIFoQPxKVxOy8bHzaByRaXU9XnYuxQuH4P1s+GW/6ldkRBCiAIUu0XIy8sLjUZjf1zUTYjS8nM30jjQ2rpYpVuFjO5w22vWx+tnw6Uj6tYjhBCiQMVuEZo7d26Bj4VwtJsa1uLQuVT+PXqJPs2C1C6n9JreCY16Quxq+G0iPPCjtQ+REEKISqNUfYTi4uI4fPhwvumHDx/m2LFjZa1J1HA3NawFwL9HL6lcSRlpNHDbG6AzwpG/4L+lalckhBDiGqUKQsOGDWPjxo35pm/evJlhw4aVtSZRw13bT6hKqxUGnSdYH//+HKRV8XAnhBDVTKmC0M6dO4mKiso3/aabbmLXrl1lrUnUcNWmn5BNp3EQEAnpF61jCwkhhKg0Sj2OUEpKSr7pSUlJmM3mMhclRLU5PAbgZIA7PwCNFvZ8L2MLCSFEJVKqINSlSxdmzZqVJ/SYzWZmzZpFp06dHFacqLmqVRACqNMWbroyttCKcZCZrG49QgghgFJeYuP111+nS5cuNGnShM6dOwOwbt06kpOT+euvvxxaoKiZqs14QrndMgUOrLCOLbRmBtz+ttoVCSFEjVeqFqHIyEj27NnDPffcw/nz50lJSeGhhx7iwIEDNGvWzNE1ihqo2vUTAjC4wp3vWx9v/QKOrVe3HiGEEKVrEQIICQlh5syZjqxFiDyqzXhCuTXoAm2HwfZ5sOxJeHIDOHuqXZUQQtRYxQ5Ce/bsoVmzZmi1Wvbs2VPkvC1atChzYULc1LAW8zcdrz79hGxufQWO/A2Jx2HlZOj/odoVCSFEjVXsINSqVSvi4+MJCAigVatWaDQaFEXJN59Go5Ezx4RD5O4nlJCWjW916CcEYPSAAZ/A3L6w6xuI6AsRt6tdlRBC1EjFDkJxcXH4+/vbHwtR3mz9hA6dS2VL3CX6NAtWuyTHqdcRokbDhnfh59FQpwO4+6tdlRBC1DjF7iw9YMAAEhMTAfj666/x9/enXr16Bd6EcBTbafSbjlSzw2NgPYsssJl1oMVfRkMBLaxCCCHKV7GDUExMDGlpaQDMmDGD1NTUcitKCJuOYdYgtKE6BiEnIwz4FLR6OPgb7FygdkVCCFHjlKiP0PDhw+nUqROKovDWW2/h7u5e4LxTp051WIGiZru5oR9aDcSeTyU+KZMgL2e1S3KsoGbQ/QVYPc16LbLQG8G/idpVCSFEjaFRCurxXICDBw8ybdo0jhw5wo4dO4iMjMTJKX+O0mg07Nixw+GFqiU5ORkvLy+SkpLw9JTTnNVw14cb2H0ykbcHt2RQ2zpql+N4Fgt8MwCORlsPlT26GvQualclhBBVWnH/fhc7COWm1WrtZ5BVdxKE1PfmHwf48O8jDGxdm3eGtFK7nPKRcg4+iYK0C9BuBNzxjtoVCSFElVbcv9/F7iPUpk0bLl++DMC0adMKPSwmhKNFNfIDYH3sxQKHbKgWPAKtp9QDbPsS9i9Xtx4hhKghStVZ+qWXXpLO0qLCtKnrg7Ney/mULGLPV+P9rlFPiBprfbz8Gbh8XNVyhBCiJpDO0qLSc9braF/fl3WHL7I+9iLhgR5ql1R+ur9gvQbZ6W2weBgM/x301ayDuBBCVCLSWfo6pI9Q5fDp2iPM+v0APZsG8MXD7dUup3xdPg6fdYWMy9DmYbjzPbUrEkKIKqe4f7+L3SLUpEkTFi1aBFg7S69Zs6ZGdJYWlYOtn9C/RxPIMVvQ64p9VLfq8akHg76EbwbBjq+hTjto85DaVQkhRLVUqr8mFotFQpCoUJHBnvi46knNMrH7ZKLa5ZS/Rj2g+xTr418nwunq08oqhBCVSan/rV6wYAFRUVGEhIRw/Li1U+fs2bNZvlzOdhGOp9Vq6Jjr7LEaodMEaHwbmLPgh4cgrRqOri2EECorVRD6+OOPGT9+PH379iUxMdF+tXkfHx/mzJnjyPqEsOt0JQhtqClBSKu1nlLv2xCSTsKS4WA2qV2VEEJUK6UKQu+//z6ff/45U6ZMQafT2ae3a9eOvXv3Oqw4IXKzBaGdJxJJzaohgcDFG4YsBL0bxK2Flc+rXZEQQlQrpQpCcXFxtG7dOt90o9FoH2tICEcL9XWlrq8rJovClrgadJgoMBIGfgZoYOvnsOVztSsSQohqo1RBqEGDBuzatSvf9JUrV9K0adOy1iREoTqFW1uF1h2uIYfHbJreAT2nWR///hzErlG3HiGEqCZKFYTGjx/P008/zffff4+iKGzZsoVXX32VyZMn8+yzzzq6RiHsulwJQmsPXVC5EhVEjYWW94Nitg62eOGg2hUJIUSVV+xxhHJ79NFHcXFx4YUXXiA9PZ3777+fkJAQ3n33Xe69915H1yiEXcdGfui0Go5eSONkQjqhvq5ql1RxNBroNwcuH4MTG+Hbe+DRv8CtltqVCSFElVXq0+eHDh3K4cOHSU1NJT4+nlOnTjFixAhH1iZEPp7OetrW9QEguia2CjkZYcgC8K5nDUTfDYHsdLWrEkKIKqtMw/NeuHCBHTt2cOjQIS5erGF9NoRqujbxB2DtwRoYhADc/GDoYnD2hlNb5bR6IYQog1IFobS0NB555BGCg4Pp0qULXbp0ITg4mBEjRpCeLv+divLVtbE1CG08cpFsk0XlalTi3wTu/x6cnOHQSlgxFop32UAhhBC5lLqz9Nq1a/nll19ITEwkMTGR5cuXs3btWiZMmODoGoXIIzLYEz93I+nZZrYdS1C7HPXUvQnu/go0Wti5AP6eqXZFQghR5ZQqCC1dupQvv/yS2267DU9PTzw9Penbty+ff/45S5YscXSNQuSh1WrsrUI18uyx3CJuh9vfsT7+5w3Y+oW69QghRBVTqiCUnp5OYGBgvukBAQFyaExUCFs/oeia2k8ot3bDodtk6+NfJ8Ku79StRwghqpBSBaGbb76ZadOmkZmZaZ+WkZHBjBkzuPnmmx1WnBCF6dzID60GDp5L4WxShtrlqK/rc9DhcUCB5U/Bfz+qXZEQQlQJpRpHaM6cOfTp04c6derQsmVLAHbv3o3RaOTPP/90aIFCFMTHzUDLUG92nkjkn0MXGNK+rtolqUujgT6vgSkDdsyHH0daO1JH9FW7MiGEqNRK1SLUvHlzDh8+zKxZs2jVqhWtWrXitddeIzY2lhtuuMHRNQpRIFs/ITk8doVWC3fMgRZDwGKCxQ/LpTiEEOI6StUiNGvWLAIDAxk5cmSe6V999RUXLlzgueeec0hxQhSlW5MA5qw+zPrDF8kxW9DryjQsVvWg1cFdH0FOBsT8DIuGwv2LoGE3tSsTQohKqVR/OT799FMiIiLyTb/hhhv45JNPylyUEMXRvLYXPq56UrJM7DyRqHY5lYfOCQZ9CY37WA+VLbwHDskhayGEKEipglB8fDzBwcH5pvv7+3P27NkyFyVEcei0GjqH2w6PnVe5mkrGyQD3zIcmt4M5CxbdD/t/VrsqIYSodEoVhEJDQ9mwYUO+6Rs2bCAkJKTMRQlRXLdEWIPQXwckCOXjZIR7voYbBoIlx3rF+j2L1a5KCCEqlVL1ERo5ciRjx44lJyeH7t27A7BmzRqeffZZGVlaVKhujQPQauBAfAqnLqdTx6cGXY2+OHR6GPQF6F1g10Lr2WSmTGjzoNqVCSFEpVCqIDRp0iQuXbrEU089RXZ2NgDOzs4899xzTJ482aEFClEUHzcD7er5suVYAmtizvNwx/pql1T5aHVw5wfW0+m3fQk/j4LMROj4jNqVCSGE6kp1aEyj0fD6669z4cIF/v33X3bv3k1CQgJTp051dH1CXFePpgEArI45p3IllZhWC7e/DTePsj7/8wX4YwpYauhFa4UQ4ooynW/s7u5O+/btadasGUaj0VE1CVEiPZpaL/ey+WgCqVkmlaupxDQauPUV6PWy9fmmD64cKstWty4hhFCRDLwiqrwwfzfq13Il22xhXU2/COv1aDQQNRoGfAZaJ/hvCXw7GDKT1a5MCCFUIUFIVHkajcbeKrQ6Rs4eK5aWQ+D+H0DvBkejYW5fSDqldlVCCFHhJAiJasHWT+jvg+cxWxSVq6kiGvWAYSvAzR/O7YXPboFT29SuSgghKlSVCUKvvvoqHTt2xNXVFW9v72ItM2zYMDQaTZ5bnz59yrdQoYr29X3xcHYiIS2bXScvq11O1VG7DYz8CwJugLTz1pahvUvUrkoIISpMlQlC2dnZDB48mCeffLJEy/Xp04ezZ8/ab9999105VSjUpNdp6dbEdvaYHB4rEe+6MOIPaNLXOgr10hHw90w5o0wIUSNUmSA0Y8YMxo0bR/PmzUu0nNFoJCgoyH7z8fEppwqF2npeOTy2Rk6jLzmjBwz5BqLGWJ+vfR0WPySdqIUQ1V6VCUKlFR0dTUBAAE2aNOHJJ5/k0qVLRc6flZVFcnJynpuoGro1DkCn1XDoXConE9LVLqfq0eqg10vWq9frDBDzC3zWDc7tV7syIYQoN9U6CPXp04f58+ezZs0aXn/9ddauXcttt92G2WwudJlZs2bh5eVlv4WGhlZgxaIsvFz1tKtnbfGTwRXLoPVQGL4SPOtAwhH4ogfs/l7tqoQQolyoGoSef/75fJ2Zr70dOHCg1Ou/9957ufPOO2nevDn9+/dnxYoVbN26lejo6EKXmTx5MklJSfbbyZMnS719UfF6RVpPo1+1X4JQmdRpC4//A2HdIScdlj0GK8aDKUvtyoQQwqFKda0xR5kwYQLDhg0rcp6GDRs6bHsNGzbEz8+P2NhYevToUeA8RqNRRsmuwm6NDOKVX2PYHJfA5bRsfNwMapdUdbnVgqFLYO0b1j5D276EMztg0JdQK0zt6oQQwiFUDUL+/v74+/tX2PZOnTrFpUuXCA4OrrBtiopVt5YrTYM9iTmbzOqYcwxuJ4c2y0Srg1smQ5121stxnNkJn3aBvm9Cy/usI1ULIUQVVmX6CJ04cYJdu3Zx4sQJzGYzu3btYteuXaSmptrniYiIYNmyZQCkpqYyadIk/v33X44dO8aaNWu46667aNSoEb1791brxxAVoM8NQQD8sS9e5UqqkfBe8MR6qNcJslPhpydhySOQkah2ZUIIUSZVJghNnTqV1q1bM23aNFJTU2ndujWtW7dm27arI+EePHiQpKQkAHQ6HXv27OHOO++kcePGjBgxgrZt27Ju3To59FXN9WlmDUL/HL5ImlyE1XG86sDDP0P3F0Gjg30/wied4NgGtSsTQohS0yiKItcjKEJycjJeXl4kJSXh6empdjmiGBRF4Za3ojl2KZ0P72/D7S3kUKjDndpuHXjxchyggRsfhx5TweCmdmVCCAEU/+93lWkREqK4NBoNva+0Cq2Uw2Plo05beGIdtH4QUGDzJ/BxRzi2Xu3KhBCiRCQIiWrJ1k/o7wPnyTIVPm6UKAOjB9z1ATyw1Drm0OVjMO92+HUiZKVed3EhhKgMJAiJaqllHW8CPY2kZpnYGFv0aOKijBr1hKc2Qdth1udbP4ePboaDv6talhBCFIcEIVEtabUael9pFVr5nxweK3fOntDvXXhwGXjVhaQT8N298N19kHhC7eqEEKJQEoREtWU7PLYq5hwms1xJvUKEdYen/4WosaB1goO/wQcdYN07YMpWuzohhMhHgpCotjo08MXbVU9CWjZbj11Wu5yaw+AGvWbAExus4w6ZMmDNDOup9kf+Vrs6IYTIQ4KQqLacdFp6NbVee+z3/86qXE0NFBABw1bAgE/B1Q8uHoQF/eGbu+F8jNrVCSEEIEFIVHO2MYR+2xuP2SJDZlU4jQZa3gvPbIMbn7QeLotdZT3V/pexkHpe7QqFEDWcBCFRrUU18sPbVc/F1Cw2H5Wzx1Tj4gO3vQZPb4GIO0CxwPa58F4b+OctyMlQu0IhRA0lQUhUa3qd1t5pesVeOTymulphcO9CGPYbBLeC7BT462V4txVs/gxMWWpXKISoYSQIiWrvjhYhgPU0ejl7rJKoHwUj/4aBn4NXKKTGw++TrC1E2+eBOUftCoUQNYQEIVHt3dTQl1puBhLSstl4RA6PVRpaLbS4B57ZDn3fAo9gSD4Fv4yBD9rBzm/klHshRLmTICSqPSed1n5F+hV7zqhcjcjHyQgdRsLoXdDnNXALsF6uY/nT8F5r+PdjyE5Tu0ohRDUlQUjUCLbDY3/sO0e2SQ6PVUp6Z7jpSRizC3q9DO6B1hailc/D7GYQ/RqkJ6hdpRCimpEgJGqEDg188fcwkpSRw4bYi2qXI4picIOo0TBmD9wxB3waQEYCRM+C2TfAb8/CpSNqVymEqCYkCIkaQafV0PfK4bFf5PBY1aB3hnbDrX2I7v4KgppDTjps+RTeb2MdmPHwKrBIC58QovQkCIka446W1sNjq/adI8tkVrkaUWxaHTQbBI+vgwd+hPDegMY6MOPCu60dqzd/CpnJalcqhKiCJAiJGqNtXR+CPJ1JyTKx9uAFtcsRJaXRQKMeMPQHayvRTU+B0RMSjsDvz8I7TWH5KDi5BRQZRVwIUTwShESNodVquOPKJTeW75bDY1VarTDoMwvGx1hPvfdrDNmpsHMBfNkLPrwRNrwHqRJ4hRBFkyAkapT+rWsDsGr/OZIzZdC+Ks/obj31/uktMPx3aHk/OLlYL/C66kV4JwIWDYWDK2WQRiFEgSQIiRrlhhBPwgPcyTZZWLk3Xu1yhKNoNFCvIwz4GCYesp5tVrstWExwYAV8NwTeagwrxsHxjdLBWghhJ0FI1CgajcbeKrRs52mVqxHlwtnTerbZyL/gyU3WvkRu/tZT8Ld9BXNvgznN4c8X4cwu6U8kRA2nURT5FihKcnIyXl5eJCUl4enpqXY5wgFOJ2YQ9dpfaDSw4bnuhHi7qF2SKG9mExz7B/YugZhfICvXGWbedSGiHzTtB6EdrGepCSGqvOL+/ZYgdB0ShKqnIZ9uYnNcAs/1ieDJbmFqlyMqUk4mHP4T9i62jkNkyrj6mps/NOkLTe+E+p2sYxkJIaokCUIOIkGoelq05QTP/7iXxoHu/DG2CxqNRu2ShBqy0+HIGmsr0aGVkJl09TW9KzToCuE9oVEv8KmnXp1CiBKTIOQgEoSqp6SMHNq/uppsk4VfR3fihhAvtUsSajPnwLF11lB04DdIvaYzvV8TCO9lvYXeJK1FQlRyEoQcRIJQ9fXUwu38tjeekZ0bMOX2SLXLEZWJokD8Xuvo1YdXXRmkMddo5E7OEHojNOgM9btA7Tag06tXrxAiHwlCDiJBqPr6c188jy3YToCHkU2Te6DTyuExUYiMy3Dkb4hdbb2lnsv7ut4N6t0MDbpA/c4Q1AJ0TurUKoQAiv/3W35TRY3VrUkA3q56zqdksSH2Il0a+6tdkqisXHyg2UDrTVHg4iGI+8d6O7bOGpRsIQmswah2G2urUWgHqNMeXH3V/RmEEAWSICRqLIOTln4tQljw73GWbD8lQUgUj0YD/k2stw4jrYMznt93JRitsw7YmJVkDUjH1l1drla4NRSFdoA6HazLy6n6QqhODo1dhxwaq972nErkzg82YHDSsvV/PfFylX4eoowsZrhwEE5uhlNbrfeXYvPPp3eDoGbWw2jBLSG4Bfg3BSdDxdcsRDUkh8aEKIbmtb2ICPLgQHwKP+85w4M3ySnSooy0OgiMtN7aDbdOS7tkDUWntlg7Xp/eDjlp1pB0cnOuZfUQ0NQaioJbWUNSUDMwuKnyowhRE0iL0HVIi1D19+X6OF5esZ8Wdbz4eVQntcsRNYHZZG0lit8DZ3dbb/F78o5jZKexjmHk39R6OC2gKfhHgF9jMLhWeOlCVBVy1piDSBCq/i6lZnHTrDXkmBV+H9OZpsHyOQsVKAokHoeze3IFpD35xzOyyxWQaoVBrUZX7z2CrX2ZhKjB5NCYEMVUy91Iz6aB/P5fPIu3nWJqPxlTSKhAowGf+tZb5J1Xp6degAsHrLfzMdb+RxdiIP0SXD5mvV1L7wq+YVCr4ZX7RuDbwHpdNY9g6aQtRC7SInQd0iJUM/x94DzD523Fx1XP5v/1xOCkVbskIYqWOyBdOgIJR6yH2y4fzzv447W0TuBVxxqKvOuCd71cjyUoiepDWoSEKIHO4X4Eeho5l5zFmphz3NY8WO2ShCiau7/11qBz3unmHEg8YQ1Fl66Eo4Qj1oCUdAosOYW3JIE1KHkEW2+ewbkeh+SdLh24RTUhQUgIwEmnZVCbOnwUfYQftp2UICSqLp3+Sl+hsPyvWcyQEm8NSvbb8auPk06CxWS9TzpZ9HaMXuARdCUshYB7ALj5gasfuPmDW60rj/1A71I+P6sQDiBBSIgrBrcL5aPoI6w9dIH4pEyCvOSimqKa0erAq7b1Vu/m/K9bzJByFpLPQsqZK/dXbslnrr6Wk2YdNDIrCS4evP52De7gWssaitz8rwSkWrke+1lH3nb2vnLzlGu3iQojQUiIKxr4udGhvi9bjiXww7aTjO4RrnZJQlQsrc7af8irTtHzZSbnCkhXQlPaRUi7YL1Pv3jl+UXrobjsVOst8Xjxa9G7gbPXlZtnrsdF3Iy5HsvAlKKYJAgJkcv9N9Zly7EEvttygqe6heGkk07TQuTj7Gm9+Tcpej5Fgazkq6EoPXdYunQ1PKVfhPQE6zhK2anWZXPSrLeUM6Wr0cnlaogyuFlbpQxuuW7uhTzO9VzvCk7O1kN7ehfrYxmWoNqRICRELn2aBeHzi56zSZlEH7xAz8hAtUsSourSaK620BTUZ6kgZpM1PGUmFXwr6jXb6wCmDEjNKGIcplKyBSMnF9A7FxyW7I+vzOPkAk5G0BmsLVU6A+iMeR/r9Ffm0V95Lddj+3JXpkkYcygJQkLk4qzXMbhdKJ/9c5SFm49LEBKioumcrP2FXH1Lt7zFDFkpecNRTvqVw3NpV265H1/7/MrjrFQwZVqXtZiurt+Uab1x2SE/bqnoDHlv9pBksAYlrdOVm+7KzemaaVcea3T5pxW43LWvO4FGW/h6tUWtN/d2c01z8QGjuypvpwQhIa5xX4e6fPbPUaIPXeBkQjqhvnIZAyGqDK0OXLytN0cxm6wtTDlXbqbMXI8zIOdKYMoz/Zp5TNlgzgZzlnWIA1PWlefZVx7nXPNarsfXjgtlW646uWM2tHtElU1LEBLiGg383IhqVIsNsZdYtPUEk3pHqF2SEEJNOifQeYDRQ53tW8y5QpMtTGXnClfXBCrFbG3Fspisy+Z7nHtarueFLlfYstdbT2HrsD3O9Vyr3lmCEoSEKMDQG+uxIfYS3289xZgejWWkaSGEerQ60LrIeEzlRL7dhShAr8hA/D2MXEzNYtX+c2qXI4QQopxIEBKiAHqdliHtQgFYuLkEY58IIYSoUiQICVGIezuEotHAxiOX+G3vWbXLEUIIUQ4kCAlRiDo+rtzfoS4Ao77dwbebT6hckRBCCEeTICREEWbceQP3dQjFosD/lu3lvTWHURRF7bKEEEI4iAQhIYrgpNMyc0BzRndvBMA7qw4x7ed9mC0ShoQQojqQICTEdWg0Gsbf2oQZd96ARgPzNx3nme92kJljvv7CQgghKjUJQkIU08Md6/Peva3R6zT8tjee+z//l0upWWqXJYQQogwkCAlRAv1ahjD/kRvxdHZix4lEBny0kdjzqWqXJYQQopQkCAlRQjeH1eLHp6II9XXhREI6gz7eyL9HL6ldlhBCiFKQICREKTQKcGfZU1G0rutNUkYOD365mSXbT6ldlhBCiBKSICREKfm5G/lu5E30bR5Ejllh4uLdTP95Hzlmi9qlCSGEKCYJQkKUgbNexwf3tWF0j3AA5m08xtDPN3MhRTpRCyFEVSBBSIgy0mo1jO/VmM8ebIu70YktxxLo9/56dp1MVLs0IYQQ1yFBSAgHufWGIH56OoqG/m7EJ2dyzyebWLTlhIxELYQQlZgEISEcqFGAO8ufjqJXZCDZZgvP/7iXsd/vIjXLpHZpQgghClAlgtCxY8cYMWIEDRo0wMXFhbCwMKZNm0Z2dnaRy2VmZvL0009Tq1Yt3N3dGTRoEOfOnaugqkVN5eGs59MH2jKpdxN0Wg3Ld53hjvfW8d/pJLVLE0IIcY0qEYQOHDiAxWLh008/Zd++fcyePZtPPvmE//3vf0UuN27cOH755RcWL17M2rVrOXPmDAMHDqygqkVNptVqePqWRnz/2E2EeDlz7FI6Az/ayLwNcXKoTAghKhGNUkW/ld98800+/vhjjh49WuDrSUlJ+Pv78+2333L33XcD1kDVtGlTNm3axE033VTgcllZWWRlXT3jJzk5mdDQUJKSkvD09HT8DyKqvcT0bCYt2cOq/dbWyF6Rgbw2sDm13I0qVyaEENVXcnIyXl5e1/37XSVahAqSlJSEr69voa9v376dnJwcevbsaZ8WERFB3bp12bRpU6HLzZo1Cy8vL/stNDTUoXWLmsfb1cBnD7Zler9IDDotq/af49bZ//DHvni1SxNCiBqvSgah2NhY3n//fR5//PFC54mPj8dgMODt7Z1nemBgIPHxhf8Bmjx5MklJSfbbyZMnHVW2qME0Gg3Dohrw09NRRAR5cCktm8cXbGf8D7tIyshRuzwhhKixVA1Czz//PBqNpsjbgQMH8ixz+vRp+vTpw+DBgxk5cqTDazIajXh6eua5CeEokSGeLB8VxZPdwtBq4Mcdp+kz5x/WHb6gdmlCCFEjOam58QkTJjBs2LAi52nYsKH98ZkzZ7jlllvo2LEjn332WZHLBQUFkZ2dTWJiYp5WoXPnzhEUFFSWsoUoE6OTjuf6RNCzaQDjf9jN8UvpPPjlFu5uW4cpfZvi42ZQu0QhhKgxqkxn6dOnT3PLLbfQtm1bvvnmG3Q6XZHz2zpLf/fddwwaNAiAgwcPEhERUWRn6WsVt7OVEKWRnm3itd8PsODf4ygK+LoZmHpHJHe1CkGj0ahdnhBCVFnF/ftdJYLQ6dOn6datG/Xq1ePrr7/OE4JsrTunT5+mR48ezJ8/nw4dOgDw5JNP8ttvvzFv3jw8PT155plnANi4cWOxty1BSFSE7ccvM/nHPRw6lwpAl8b+vNq/GaG+ripXJoQQVVNx/36remisuFatWkVsbCyxsbHUqVMnz2u2HJeTk8PBgwdJT0+3vzZ79my0Wi2DBg0iKyuL3r1789FHH1Vo7UIUR9t6Pqx4pjOfrzvKu2sO88+hC/R8Zy1Pdgvjia5hOOuLbgEVQghROlWiRUhN0iIkKlrcxTSmLNvLxiOXAKjt7cKU25tyW7MgOVwmhBDFVK0OjalJgpBQg6Io/LY3nld/3c+ZpEwAbmroy/Q7byAiSPZDIYS4HglCDiJBSKgpI9vMJ2uP8MnaI2SZLGg1MKR9Xcb1DCfA01nt8oQQotKSIOQgEoREZXDqcjozf4vht73WwUCd9VpGdGrA413D8HTWq1ydEEJUPhKEHESCkKhMth5L4LXfD7D9+GUAvF31jLqlEQ/cVE86VAshRC4ShBxEgpCobBRFYdX+c7zxx0Fiz1tPtw/2cubJbmHc0y5UApEQQiBByGEkCInKymS2sHTHKWavOkx8srVDdaCnkSe6hnFfh7oSiIQQNZoEIQeRICQqu8wcM4u3neSj6COcvXKGmZ+7kSe6NuT+G+viaqgSw4UJIYRDSRByEAlCoqrIMplZuv00H/4dy+nEDMDah2jojXV5+Ob6cpaZEKJGkSDkIBKERFWTY7awbMdpPoyO5fgl60jrBp2WO1uFMLJzQ5oEeahcoRBClD8JQg4iQUhUVWaLtVP15+uO2s8yA+gc7sejnRvSuZEfWq2MVC2EqJ4kCDmIBCFRHew4cZkv1h1l5X/xWK78xter5cr9HeoyuF0ovm4GdQsUQggHkyDkIBKERHVyMiGdrzbEsWTbKVKyTID1sFnf5kE8cFM92tbzkeuZCSGqBQlCDiJBSFRH6dkmftl9hm/+PcHe00n26U0CPbi7bR3uah1CgId0rhZCVF0ShBxEgpCo7nafTOSbf4/zy54zZOZYANBpNXQJ92NQ2zr0bBooYxIJIaocCUIOIkFI1BRJ6Tn8vOcMS7efYtfJRPt0D2cn7mgRwqA2tWlT10c6WAshqgQJQg4iQUjUREcupPLjjlMs23GaM1cGaQTrpTxuaxbM7S2CaB0qoUgIUXlJEHIQCUKiJrNYFP49eoklO07x575zpF7pYA0SioQQlZsEIQeRICSEVWaOmXWHL/LrnjOsjjmfJxQFeBjpHhFAj6aBRDWqJZf1EEKoToKQg0gQEiI/Wyj6be9ZVu3P21JkcNISFVaL7k0D6RERQIi3i4qVCiFqKglCDiJBSIiiZZnMbIlLYE3MeVbHnOPU5Yw8r0cEedClsT+dGvnRvr4vLgY5A00IUf4kCDmIBCEhik9RFA6fT2VNzHnWxJxjx4nL9pGswdpa1K6eD53C/ejUyI8bQrzQSd8iIUQ5kCDkIBKEhCi9hLRs1h2+wPrDF1kfe5Gzuc5AA/By0dO+vg/t6/vSvoEvzWt7oddpVapWCFGdSBByEAlCQjiGoigcvZhmD0X/Hrlkv8yHjbNeS+tQH9o38KVDfV9a1/XGzSgdr4UQJSdByEEkCAlRPkxmC3tPJ7H1WAJb4i6z7XgCiek5eebRaTU0DvSgZR0vWoZ606KOF00CPXCSViMhxHVIEHIQCUJCVAyLRSH2Qipb4hLYeiyBrXEJeQZztHHWa2kW4kWLOt60DPWiZR1v6vq6yjhGQog8JAg5iAQhIdRzJjGDPacS2X0qid0nE9l7Kinf4TQAd6MTTYI8aBrsQUSQJ02DPYkI8pDDakLUYBKEHESCkBCVh8Vi7We051Qiu09aA9L+M8lkmy355tVooJ6vKxFBnkQEe9AowJ0wf3ca+LnJRWSFqAEkCDmIBCEhKrccs4WjF9I4EJ/M/rPJxJxN4cDZZM6nZBU4v0YDoT6uV4KRmz0ghfm74+NmqODqhRDlRYKQg0gQEqJqupSaZQ1F8ckciE/hyIVUYs+nkpKZ/9Caja+bgbq+rtT1daVeLVdCrzyu6+tKkKez9EMSogqRIOQgEoSEqD4UReFiajax51PtwejIhVSOnE8tsGN2bgadljq+LvZgVNfXlTo+roR4OxPs5UItN4MEJSEqkeL+/ZaehEKIGkOj0eDvYcTfw8jNYbXyvJaWZSLuYhqnLqdz/FI6JxKst5MJ6Zy6nEH2lUNwRy+kFbhug05LoJeRYC8Xgr2s4SjE25kgT2dCvK3TfFwlLAlR2UgQEkIIwM3oRLPaXjSr7ZXvNZPZwtmkTE4mXA1Ix68EpPikDM6nZJFttnAyIYOTCRkFrN3KSauhlrsBP3drGPN3N+J3zb1tuqeLExqNhCYhypsEISGEuA4nnZZQX2ufoY4FvJ5jtnA+JYuziRmcScokPimDM4mZxCdlcjbJOu1iahYmi8K55CzOJRfckTs3g06Ln7sBPw8jPq4GfFz1eLsa8HXL+9jbVX/ldYNc0FaIUpAgJIQQZaTXaant7UJtb5dC58kxW7iUms3F1CwupGRxwXafkmWfZrtPzjSRbbZwJinzun2XcnPWa/FxNeDlosfTWY+nixMezno8na/cuzjh6ay3P772NaOTBClR80gQEkKICqDXaQnycibIy/m682bmmLmUlm0NRylZXE7PJjE9h4T0bBLTs7mclsPl9OwrtxwS07PJMStk5lgP4V17cdviMjhp8XR2wt3ohKvBCVeDDlejE24GXa7nOtxsjw1OuBmv3Bt0uBh0uBmtr7kZnHAx6DA6aeUQn6jUJAgJIUQl46zXXbeFKTdFUUjNMlnDUlo2SRk5pGSaSM7MISUzh+QMEymZV6clZ5pIzjVPapYJRYFsk4WLqdlcTM122M+i02pw1etwvhKKnPVX7531WoxO1ntnJx1G+/Oi59XrrDeDkwaDTofeSWN9rrO9psHgpLVPkw7qoigShIQQoorTaDR4XDnkFerrWuLlLRaF1GyTNRhl5JCebSIty5znPj3bTFq2mfQsE2nZZjKyrfe2eTKyzaTZ5ssykWWyjvZttiikZJkKvDRKRdFpNeh11rBkdLoapGzTcocmvZMWw5XpTjotOg3otFp02qv3TlotOq3m6k1jvXfSatBeudddc3PSatBqNDjprtznWmfu5Wzz5F5vkeu2rUtnfazVglZjXY8G6wCi0iJXNAlCQghRw2m1GmufImd9sVuhrsdktpCRY7YHo8wcC5kmM1n2ezNZJguZOWYycyxkmaz3mYVMz8q1bLbJQo7ZQo5ZuXJvuTLN+txkyTs8ntmiYLZYDx2mOOSnq1o0GuzBSKvRXH1eyL32SniyzW9/nut1rUYD1z63za8lVxC7+rotlGnzbVfD8I71uSUiQJX3R4KQEEIIh3PSafHQafFw1lf4ts2WqwHJFo6uDU9Z9ue2IKVc89waqGwhymRRsFy5N1sUzMrV13LPY7ZYMFuw3ivWe5NZwaIoedaXZ72KkmeePNvJM48l37YtxRgSWVHAbB87uXKOoXxbsyDVti1BSAghRLViPWykqxEX11WU3CHMGpIUxTrdUtA91nuL5cp8tueKgnJlWdtzi31duZ5zdV0Wi/W5xb5c4fe2Gmzz259feb11XR/V3kMJQkIIIUQVpbnSp0hGPig9rdoFCCGEEEKoRYKQEEIIIWosCUJCCCGEqLEkCAkhhBCixpIgJIQQQogaS4KQEEIIIWosCUJCCCGEqLEkCAkhhBCixpIgJIQQQogaS4KQEEIIIWosCUJCCCGEqLEkCAkhhBCixpIgJIQQQogaS64+fx2KogCQnJysciVCCCGEKC7b323b3/HCSBC6jpSUFABCQ0NVrkQIIYQQJZWSkoKXl1ehr2uU60WlGs5isXDmzBk8PDzQaDQOW29ycjKhoaGcPHkST0/PfK+3b9+erVu3Frr89V4v7jwlma+085d1ufJeV2XYjiOVZd+qivtVWZctj/VUtm05Qnl/Z1Xn/crR66oM23GU8tyvFEUhJSWFkJAQtNrCewJJi9B1aLVa6tSpU27r9/T0LPDD1+l0BU4v7uvFnack85V2/rIuV97rqgzbKQ+l2beq4n5V1mXLYz2VbVuOVF7fWdV5v3L0uirDdhytvParolqCbKSzdCX19NNPl+n14s5TkvlKO39ZlyvvdVWG7VSkon6mqrhflXXZ8lhPZdtWRSjrd1Z13q8cva7KsJ2K4qj9pihyaEwlycnJeHl5kZSUVCXTu6i8ZN8S5UH2K1EeKsN+JS1CKjEajUybNg2j0ah2KaKakX1LlAfZr0R5qAz7lbQICSGEEKLGkhYhIYQQQtRYEoSEEEIIUWNJEBJCCCFEjSVBSAghhBA1lgQhIYQQQtRYEoQqqQEDBuDj48Pdd9+tdimiGlmxYgVNmjQhPDycL774Qu1yRDUl31+iPJw8eZJu3boRGRlJixYtWLx4sUPWK6fPV1LR0dGkpKTw9ddfs2TJErXLEdWAyWQiMjKSv//+Gy8vL9q2bcvGjRupVauW2qWJaka+v0R5OHv2LOfOnaNVq1bEx8fTtm1bDh06hJubW5nWKy1ClVS3bt3w8PBQuwxRjWzZsoUbbriB2rVr4/7/9u41pOnvjwP422li9rObhtPlirBMrZwYU7F7lnSxK1l024SCUMou0IOeKEhYYSsUuxJpYVERiYFGVNJlaNlM6WpZiaSpqRFphZed/6P/F75ZabmLuvcLfHDOzs73Pflw+LDvxv77D4sWLcLNmzftHYsGIZ5fZA0+Pj7QaDQAAKVSCS8vL7S0tPR5XzZCVnDv3j3ExsbC19cXTk5OyMvL67YmKysL48ePh5ubG8LDw/Ho0SPbB6UBpa91VVdXB5VKJY1VKhVqa2ttEZ36EZ5PZC22rC2TyYSuri74+fn1MTUbIatoa2tDSEgIsrKyfvn4pUuXsHv3biQnJ6OsrAwhISGIiYlBY2OjjZPSQMK6IkuwRB1pNBpMmTKl219dXZ2tXgb1Q7aqrZaWFmzevBmnTp2yTHBBVgVAXLt2TTan1WpFYmKiNO7q6hK+vr4iLS1Ntq6oqEisXr3aFjFpgPmXujIajWLFihXS40lJSSI3N9cmeal/6sv51BOeX47NWrX148cPMXPmTHHu3DlLRRV8R8jG2tvbYTKZEB0dLc0pFApER0ejuLjYjsloIOtNXWm1Wjx79gy1tbVobW1FYWEhYmJi7BWZ+iGeT2QtlqgtIQT0ej3mzZuHTZs2WSwbGyEba2pqQldXF7y9vWXz3t7eqK+vl8bR0dFYs2YNCgoKMHbsWB5C9Ee9qSsXFxccPnwYc+fOhUajwZ49e/iNMZLp7fnUE55f9DNL1JbRaMSlS5eQl5cHjUYDjUaDp0+f9jmbS593IKu4deuWvSPQILRs2TIsW7bM3jFokOP5RdYwY8YMmM1mi+/Ld4RszMvLC87OzmhoaJDNNzQ0QKlU2ikVDXSsK7IE1hFZS3+uLTZCNubq6oqwsDDcvn1bmjObzbh9+zYiIyPtmIwGMtYVWQLriKylP9cWb41ZQWtrK6qqqqTx+/fvUV5ejtGjR0OtVmP37t3Q6XSYPn06tFotjh49ira2NsTHx9sxNfV3rCuyBNYRWcuArS2Lff+MJEVFRQJAtz+dTietyczMFGq1Wri6ugqtVitKSkrsF5gGBNYVWQLriKxloNYWf2uMiIiIHBY/I0REREQOi40QEREROSw2QkREROSw2AgRERGRw2IjRERERA6LjRARERE5LDZCRERE5LDYCBEREZHDYiNEREREDouNEBHZxZw5c7Bz506L7ztr1ixcuHCh1+uzs7MxcuTIv7qGXq/HihUr/i7YT168eIGxY8eira2tT/sQUd+wESKiQSM/Px8NDQ1Yt26dvaP0KCgoCBERETAYDPaOQuTQ2AgR0aCRkZGB+Ph4KBQD42iLj4/H8ePH0dnZae8oRA5rYJwWRDSoff78GZs3b8aoUaPg7u6ORYsW4c2bN7I1p0+fhp+fH9zd3bFy5UoYDAbZLa1Pnz7hzp07iI2NlT3PYDBg6tSpGDZsGPz8/JCQkIDW1tbfZklJSYFGo8HJkyel68XFxeHLly/d1qanp8PHxweenp5ITExER0eH9Nj58+cxffp0eHh4QKlUYv369WhsbJQ9f8GCBWhpacHdu3f/5t9FRBbERoiI7E6v1+Px48fIz89HcXExhBBYvHix1FgYjUZs27YNSUlJKC8vx4IFC7B//37ZHg8ePIC7uzsCAwNl8wqFAhkZGXj+/DlycnJw584d7N279495qqqqcPnyZVy/fh03btzAkydPkJCQIFtTVFSEt2/foqioCDk5OcjOzkZ2drb0eEdHB1JTU1FRUYG8vDxUV1dDr9fL9nB1dYVGo8H9+/f/8j9GRBYjiIjsYPbs2SIpKUm8fv1aABBGo1F6rKmpSQwdOlRcvnxZCCHE2rVrxZIlS2TP37BhgxgxYoQ0PnLkiJgwYUKP171y5Yrw9PSUxmfPnpXtk5ycLJydncWHDx+kucLCQqFQKMTHjx+FEELodDoxbtw40dnZKa1Zs2aNWLt27W+vW1paKgCIr1+/yuZXrlwp9Hp9j7mJyDr4jhAR2dXLly/h4uKC8PBwac7T0xMBAQF4+fIlAKCyshJarVb2vJ/H379/h5ubW7f9b926hfnz50OlUsHDwwObNm1Cc3Mzvn379ttMarUaKpVKGkdGRsJsNqOyslKaCw4OhrOzszT28fGR3foymUyIjY2FWq2Gh4cHZs+eDQCoqamRXWvo0KF/zEJE1sVGiIgGBS8vL3z+/Fk2V11djaVLl2LatGm4evUqTCYTsrKyAADt7e19ut6QIUNkYycnJ5jNZgBAW1sbYmJiMHz4cOTm5qK0tBTXrl375XVbWlowZsyYPmUhon/HRoiI7CowMBCdnZ14+PChNNfc3IzKykoEBQUBAAICAlBaWip73s/j0NBQ1NfXy5ohk8kEs9mMw4cPIyIiApMmTUJdXV2PmWpqamTrSkpKoFAoEBAQ0KvX9OrVKzQ3N+PAgQOYOXMmJk+e3O2D0v/37NkzhIaG9mpfIrI8NkJEZFcTJ07E8uXLsXXrVjx48AAVFRXYuHEjVCoVli9fDgDYvn07CgoKYDAY8ObNG5w8eRKFhYVwcnKS9gkNDYWXlxeMRqM05+/vj46ODmRmZuLdu3c4f/48Tpw40WMmNzc36HQ6VFRU4P79+9ixYwfi4uKgVCp79ZrUajVcXV2l6+bn5yM1NbXbuurqatTW1iI6OrpX+xKR5bERIiK7O3v2LMLCwrB06VJERkZCCIGCggLp9lNUVBROnDgBg8GAkJAQ3LhxA7t27ZJ9JsjZ2Rnx8fHIzc2V5kJCQmAwGHDw4EFMmTIFubm5SEtL6zGPv78/Vq1ahcWLF2PhwoWYNm0ajh071uvXM2bMGGRnZ+PKlSsICgrCgQMHkJ6e3m3dxYsXsXDhQowbN67XexORZTkJIYS9QxAR/a2tW7fi1atXsq+e19fXIzg4GGVlZf/cXKSkpCAvLw/l5eUWSvpr7e3tmDhxIi5cuICoqCirXouIfo/vCBHRgJCeno6KigpUVVUhMzMTOTk50Ol0sjVKpRJnzpzp9s2s/qimpgb79u1jE0RkZy72DkBE1BuPHj3CoUOH8PXrV0yYMAEZGRnYsmVLt3V9/TFUW/H394e/v7+9YxA5PN4aIyIiIofFW2NERETksNgIERERkcNiI0REREQOi40QEREROSw2QkREROSw2AgRERGRw2IjRERERA6LjRARERE5rP8BEUOy6ABPSbcAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = plt.gca()\n", "\n", "ax.plot(alphas, coefs, label=['displacement', 'horsepower', 'weight'])\n", "ax.set_xscale(\"log\")\n", "ax.set_xlim(ax.get_xlim()[::-1]) # reverse axis\n", "plt.xlabel(\"log(alpha)\")\n", "plt.ylabel(\"coefficients\")\n", "plt.title(\"Lasso coefficients as a function of regularization strength\")\n", "plt.axis(\"tight\")\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "ffe5f62b", "metadata": {}, "source": [ "### How do you read this?\n", "\n", "So you might notice a few funky things about this plot. I reversed the x-axis so that alpha decreases from left to right, so regularization strength is *decreasing* from left to right. And the coefficients are *negative* before going to zero with higher values of alpha. A little confusing but it's a convention.\n", "\n", "But notice how we have an order in which the lines go to zero. In the above example, `weight` is the first value to go to zero as alpha increases, followed by `horsepower`, and then `displacement`. This gives you a *relative* idea of the feature importance which might be helpful in your understanding of the problem. \n", "\n", "For another example with Ridge Regression, [check this out](https://scikit-learn.org/stable/auto_examples/linear_model/plot_ridge_path.html)\n", "\n", "**Note:** Another term for this kind of plot is a 'path' plot, and `sklearn` has some helper functions, [see example](https://scikit-learn.org/stable/auto_examples/linear_model/plot_lasso_coordinate_descent_path.html#sphx-glr-auto-examples-linear-model-plot-lasso-coordinate-descent-path-py)" ] }, { "cell_type": "markdown", "id": "1a766947", "metadata": {}, "source": [ "### How do you find the best value of alpha for prediction accuracy?\n", "\n", "Now, another twist on the problem is if your goal isn't learning feature importance and your goal is to do prediction and let the models do the shrinkage for you, then you can repeatedly try a lot of different values of `alpha` and find the value that gives you the least error on the test set. In the below example we'll use root mean squared error (RMSE) as our error metric that we're optimizing for:" ] }, { "cell_type": "code", "execution_count": 16, "id": "e47ec496", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "7.019453139121642\n" ] } ], "source": [ "yhat = model.predict(X_test)\n", "RMSE = (np.mean((yhat - y_test)**2))**0.5\n", "print(RMSE)" ] }, { "cell_type": "markdown", "id": "929fa5d1", "metadata": {}, "source": [ "Then we iterate over several values of alpha:" ] }, { "cell_type": "code", "execution_count": 17, "id": "62895681", "metadata": {}, "outputs": [], "source": [ "errors = []\n", "alphas = np.arange(0.01,10, 0.01)\n", "for a in alphas:\n", " model = Lasso(alpha=a, random_state=42)\n", " model.fit(X_train, y_train)\n", " yhat = model.predict(X_test)\n", " RMSE = (np.mean((yhat - y_test)**2))**0.5\n", " errors.append(RMSE)" ] }, { "cell_type": "code", "execution_count": 18, "id": "8ef84512", "metadata": {}, "outputs": [ { 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = plt.gca()\n", "\n", "plt.scatter(alphas, errors)\n", "ax.set_xscale(\"log\")\n", "plt.xlabel(\"log(alpha)\")\n", "plt.ylabel(\"RMSE\")\n", "plt.title(\"Lasso Test RMSE at various values of alpha\")\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 19, "id": "4e010ce9", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "best_alpha = 1.07\n" ] } ], "source": [ "best_alpha = alphas[np.argmin(errors)]\n", "print(\"best_alpha = \", best_alpha)" ] }, { "cell_type": "markdown", "id": "e4087a35", "metadata": {}, "source": [ "We can then plug that best alpha back in to our model:" ] }, { "cell_type": "code", "execution_count": 20, "id": "488f984d", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Test R^2 Value: 0.3\n" ] } ], "source": [ "model = Lasso(alpha=best_alpha, random_state=42)\n", "model.fit(X_train, y_train)\n", "R_2 = model.score(X_test, y_test)\n", "\n", "# print the score rounded to two digits\n", "print(\"Test R^2 Value: \", np.round(R_2,2))" ] }, { "cell_type": "markdown", "id": "68f1b12b", "metadata": {}, "source": [ "So, we get a minor improvement!" ] }, { "cell_type": "code", "execution_count": 21, "id": "e9f869f7", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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featurecoefficients
0displacement-2.084907
1horsepower-1.353816
2weight-0.377263
\n", "
" ], "text/plain": [ " feature coefficients\n", "0 displacement -2.084907\n", "1 horsepower -1.353816\n", "2 weight -0.377263" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pd.DataFrame({\"feature\": model.feature_names_in_,\n", " \"coefficients\":model.coef_})" ] }, { "cell_type": "markdown", "id": "bbbca901", "metadata": {}, "source": [ "And notice here that since we were optimizing for RMSE on the test set, we found a value of `alpha` that shrunk the coefficients but didn't set any of them to zero. If we had increased `alpha` more we would eventually see `weight` fall off.\n", "\n", "#### Visualizing the model fit\n", "\n", "So since we are dealing with multivariable regression we can't make a 4-D plot to show the 4-D hyperplane that this model fit. But we can kind of get a sense by plotting just a single predictor variable (i.e. 'horsepower') against the value of `mpg` to get some intuition:" ] }, { "cell_type": "code", "execution_count": 22, "id": "3d4b2d01", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "y_fitted = model.predict(X_train)\n", "plt.scatter(X_train[[\"horsepower\"]], y_train, label=\"Training Data\")\n", "plt.scatter(X_train[[\"horsepower\"]], y_fitted, label=\"Fitted Values\", c=\"r\")\n", "plt.title(\"Lasso \")\n", "plt.xlabel(\"scaled horsepower\")\n", "plt.ylabel(\"mpg\")\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "50a13f0e", "metadata": {}, "source": [ "But, can we do better?" ] }, { "cell_type": "markdown", "id": "9f8f632e", "metadata": {}, "source": [ "## How do you find `alpha`?\n", "\n", "In practice you could iteratively try many many different kinds of alpha until you arrived at the best answer - and you could do this manually (as we just did above) but `sklearn` has helper functions that already do this for you. \n", "\n", "Here we'll use 5-fold cross validation to find the ideal value of alpha from the training set, and then use that fitted model on the test set.\n", "\n", "`sklearn` has `LassoCV`, `RidgeCV`, and `ElasticNetCV` implementations for our convenience. Here we'll repeat the analysis from above as a demo with these three. " ] }, { "cell_type": "code", "execution_count": 23, "id": "5e0576bb", "metadata": {}, "outputs": [], "source": [ "from sklearn.linear_model import LassoCV, RidgeCV, ElasticNetCV" ] }, { "cell_type": "code", "execution_count": 24, "id": "fda373fa", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.26601042348436355\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "model = LassoCV(cv=5, random_state=0).fit(X_train, y_train)\n", "print(model.score(X_test,y_test))\n", "\n", "y_fitted = model.predict(X_train)\n", "plt.scatter(X_train[[\"horsepower\"]], y_train, label=\"X\")\n", "plt.scatter(X_train[[\"horsepower\"]], y_fitted, label=\"Fitted\", c=\"r\")\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 25, "id": "67b35069", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.004619906312005148" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" } ], "source": [ "model.alpha_" ] }, { "cell_type": "code", "execution_count": 26, "id": "8d38bbe5", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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featurecoefficients
0displacement-2.318341
1horsepower-1.854957
2weight-0.820504
\n", "
" ], "text/plain": [ " feature coefficients\n", "0 displacement -2.318341\n", "1 horsepower -1.854957\n", "2 weight -0.820504" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pd.DataFrame({\"feature\": model.feature_names_in_,\n", " \"coefficients\":model.coef_})" ] }, { "cell_type": "code", "execution_count": 27, "id": "fa1da13c", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.2709055015774047\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "model = RidgeCV(cv=5).fit(X_train, y_train)\n", "print(model.score(X_test, y_test))\n", "\n", "y_fitted = model.predict(X_train)\n", "plt.scatter(X_train[[\"horsepower\"]], y_train, label=\"X\")\n", "plt.scatter(X_train[[\"horsepower\"]], y_fitted, label=\"Fitted\", c=\"r\")\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 28, "id": "fab14dfb", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "10.0" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" } ], "source": [ "model.alpha_" ] }, { "cell_type": "code", "execution_count": 29, "id": "3fb2e1f0", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
featurecoefficients
0displacement-2.074038
1horsepower-1.827595
2weight-1.040466
\n", "
" ], "text/plain": [ " feature coefficients\n", "0 displacement -2.074038\n", "1 horsepower -1.827595\n", "2 weight -1.040466" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pd.DataFrame({\"feature\": model.feature_names_in_,\n", " \"coefficients\":model.coef_})" ] }, { "cell_type": "markdown", "id": "9e0d40ac", "metadata": {}, "source": [ "### ElasticNet\n", "\n", "Finally, ElasticNet combines both Lasso and Ridge penalties so you can get the best of both worlds:" ] }, { "cell_type": "code", "execution_count": 30, "id": "c426d030", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.27858321488177085\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "model = ElasticNetCV(cv=5).fit(X_train, y_train)\n", "\n", "print(model.score(X_test, y_test))\n", "y_fitted = model.predict(X_train)\n", "plt.scatter(X_train[[\"horsepower\"]], y_train, label=\"X\")\n", "plt.scatter(X_train[[\"horsepower\"]], y_fitted, label=\"Fitted\", c=\"r\")\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "ba3ebe83", "metadata": {}, "source": [ "We can get the `l1_ratio_` back out from here too. The L1 ratio in this case describes the relative weight it gives the Lasso vs Ridge parameters." ] }, { "cell_type": "code", "execution_count": 31, "id": "3d48a125", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.5" ] }, "execution_count": 31, "metadata": {}, "output_type": "execute_result" } ], "source": [ "model.l1_ratio_" ] }, { "cell_type": "code", "execution_count": 32, "id": "b9967cc8", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.14043693611641683" ] }, "execution_count": 32, "metadata": {}, "output_type": "execute_result" } ], "source": [ "model.alpha_" ] }, { "cell_type": "code", "execution_count": 33, "id": "6b26f941", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
featurecoefficients
0displacement-1.909155
1horsepower-1.753583
2weight-1.137835
\n", "
" ], "text/plain": [ " feature coefficients\n", "0 displacement -1.909155\n", "1 horsepower -1.753583\n", "2 weight -1.137835" ] }, "execution_count": 33, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pd.DataFrame({\"feature\": model.feature_names_in_,\n", " \"coefficients\":model.coef_})" ] }, { "cell_type": "markdown", "id": "ece2d68b", "metadata": {}, "source": [ "# Interim Summary\n", "\n", "So hopefully this helps you understand how to implement Lasso, Ridge, and ElasticNet in python using `sklearn`. These models would be my go-to to try to estimate feature importance and feature selection because they retain much of the interpretability of Linear Regression. \n", "\n", "But, what about an even more flexible model that could fit **non-linear** relationships in your data? At this point we must pursue more flexible but less interpretable models like popular tree-based models (Random Forest, XGBoost, etc) or less-popular approaches like Support Vector Regression (SVR)." ] }, { "cell_type": "markdown", "id": "8f181559", "metadata": {}, "source": [ "## What is Support Vector Regression? \n", "\n", "In Support Vector Regression (SVR), the separating hyperplane from Support Vector Machines (SVM) is instead used as the regression line and the decision boundary is used to determine best fit. The benefit of using SVR is that it can capture non-linearity and is robust to outliers and can offer a very flexible fit (with all of those downsides). So in a prediction/forecasting setting this might be very accurate, but you don't get interpretability or inference.\n", "\n", "## Example: Support Vector Regression in `sklearn`\n", "\n", "For this first example, we'll re-do our initial Linear Regression example of modeling `mpg` with `displacement` and plot the fitted data:" ] }, { "cell_type": "code", "execution_count": 34, "id": "42d1815d", "metadata": {}, "outputs": [], "source": [ "from sklearn.svm import SVR" ] }, { "cell_type": "code", "execution_count": 35, "id": "d3c5947c", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "R^2 Value: 0.68\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = X[[\"displacement\"]]\n", "\n", "model = SVR(C=1.0, epsilon=0.2, kernel='rbf')\n", "model.fit(x, y)\n", "R_2 = model.score(x, y)\n", "\n", "# print the score rounded to two digits\n", "print(\"R^2 Value: \", np.round(R_2,2))\n", "\n", "y_fitted = model.predict(x)\n", "plt.scatter(x, y, label=\"Actuals\")\n", "plt.scatter(x, y_fitted, label=\"Fitted Values\", c=\"r\")\n", "plt.xlabel(\"Displacement\")\n", "plt.ylabel(\"mpg\")\n", "plt.title(\"SVR with C=1\")\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "749e7bdc", "metadata": {}, "source": [ "Note that we now have a curved fit in this example, even with the default $C$ value of 1.0. In SVR, $C$ represents the *inverse* of the regularization parameter that we had seen before. So, the lower the value of $C$, the higher the strength of regularization. Another way to think about it is with low $C$ you get a smoother curve and with high $C$ you can get a more 'wiggly' curve." ] }, { "cell_type": "code", "execution_count": 36, "id": "aab2bf43", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "R^2 Value: 0.69\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "model = SVR(C=100.0, epsilon=0.2, kernel='rbf')\n", "model.fit(x, y)\n", "R_2 = model.score(x, y)\n", "\n", "# print the score rounded to two digits\n", "print(\"R^2 Value: \", np.round(R_2,2))\n", "\n", "y_fitted = model.predict(x)\n", "plt.scatter(x, y, label=\"Actuals\")\n", "plt.scatter(x, y_fitted, label=\"Fitted Values\", c=\"r\")\n", "plt.xlabel(\"Displacement\")\n", "plt.ylabel(\"mpg\")\n", "plt.title(\"SVR with C=100\")\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "3ef8413b", "metadata": {}, "source": [ "So you might be thinking \"that's a great $R^2$ value!\", but we had just fit the model on the entire dataset. In practice we'll need to use our training data to fit the model and then evaluate the model performance on the 'unseen' test data:" ] }, { "cell_type": "code", "execution_count": 37, "id": "5cee937a", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "R^2 Value: 0.11\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x_train = X_train[[\"displacement\"]]\n", "x_test = X_test[[\"displacement\"]]\n", "\n", "model = SVR(C=100.0, epsilon=0.2, kernel='rbf')\n", "model.fit(x_train, y_train)\n", "R_2 = model.score(x_test, y_test)\n", "\n", "# print the score rounded to two digits\n", "print(\"R^2 Value: \", np.round(R_2,2))\n", "\n", "y_fitted = model.predict(x_train)\n", "plt.scatter(x_train, y_train, label=\"Actuals\")\n", "plt.scatter(x_train, y_fitted, label=\"Fitted\", c=\"r\")\n", "plt.title(\"SVR with C=100\")\n", "plt.xlabel(\"scaled displacement\")\n", "plt.ylabel(\"mpg\")\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "432013c0", "metadata": {}, "source": [ "And we see that the fit looks pretty good, but what's happening with the test set to get such a low $R^2$?" ] }, { "cell_type": "code", "execution_count": 38, "id": "a3569db6", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# print the score rounded to two digits\n", "y_pred = model.predict(x_test)\n", "\n", "plt.scatter(x_test, y_test, label=\"Actuals\")\n", "plt.scatter(x_test, y_pred, label=\"Fitted\", c=\"r\")\n", "plt.title(\"SVR with C=100\")\n", "plt.xlabel(\"scaled displacement\")\n", "plt.ylabel(\"mpg\")\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "e2742963", "metadata": {}, "source": [ "And here we may have a case of overfitting where we set $C$ too high. \n", "\n", "Instead, we could try a less flexible model and then we would hope to improve the model performance on the test set. Next, we'll set the C back down to 1 and use a `linear` kernel instead of `rbf`:" ] }, { "cell_type": "code", "execution_count": 39, "id": "8c849461", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "R^2 Value: 0.2\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x_train = X_train[[\"displacement\"]]\n", "x_test = X_test[[\"displacement\"]]\n", "\n", "model = SVR(C=1, epsilon=0.2, kernel='linear')\n", "model.fit(x_train, y_train)\n", "R_2 = model.score(x_test, y_test)\n", "\n", "# print the score rounded to two digits\n", "print(\"R^2 Value: \", np.round(R_2,2))\n", "\n", "y_fitted = model.predict(x_train)\n", "plt.scatter(x_train, y_train, label=\"Actuals\")\n", "plt.scatter(x_train, y_fitted, label=\"Fitted\", c=\"r\")\n", "plt.title(\"SVR with C=1 and linear kernel\")\n", "plt.xlabel(\"scaled displacement\")\n", "plt.ylabel(\"mpg\")\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "89c7e3a1", "metadata": {}, "source": [ "And we notice that this starts looking a little more like linear regression in that it did a linear fit. You can even get the coefficients and intercept back out:" ] }, { "cell_type": "code", "execution_count": 40, "id": "6b4bcd58", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "model coefficient(s): [[-4.49507286]]\n", "model intercept: [22.64249525]\n" ] } ], "source": [ "print(\"model coefficient(s):\", model.coef_)\n", "print(\"model intercept:\", model.intercept_)" ] }, { "cell_type": "markdown", "id": "7b9fa93b", "metadata": {}, "source": [ "### SVR with all predictors\n", "\n", "Now we set the regularization strength back down to 1.0 and fit on all of the predictors:" ] }, { "cell_type": "code", "execution_count": 41, "id": "1e9943b6", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "R^2 Value: 0.21\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "model = SVR(C=1.0, epsilon=0.2, kernel='rbf')\n", "model.fit(X_train, y_train)\n", "R_2 = model.score(X_test, y_test)\n", "\n", "# print the score rounded to two digits\n", "print(\"R^2 Value: \", np.round(R_2,2))\n", "\n", "y_fitted = model.predict(X_train)\n", "plt.scatter(x_train, y_train, label=\"Actuals\")\n", "plt.scatter(x_train, y_fitted, label=\"Fitted\", c=\"r\")\n", "plt.xlabel(\"scaled displacement\")\n", "plt.ylabel(\"mpg\")\n", "plt.legend()\n", "plt.title(\"SVR with all predictors, C=1\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "8f16c4bf", "metadata": {}, "source": [ "With SVR we can't get regression coefficients out unless we use a `linear` kernel. The documentation suggests that we use `LinearSVR` instead of calling `SVR(kernel='linear')` because it offers more flexibility and it's more performant:\n", "\n", "[LinearSVR](https://scikit-learn.org/stable/modules/generated/sklearn.svm.LinearSVR.html)" ] }, { "cell_type": "code", "execution_count": 42, "id": "6f90e15b", "metadata": {}, "outputs": [], "source": [ "from sklearn.svm import LinearSVR" ] }, { "cell_type": "code", "execution_count": 43, "id": "b0ef7035", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "R^2 Value: 0.2\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "model = LinearSVR(C=1.0, epsilon=0.2)\n", "model.fit(X_train, y_train)\n", "R_2 = model.score(X_test, y_test)\n", "\n", "# print the score rounded to two digits\n", "print(\"R^2 Value: \", np.round(R_2,2))\n", "\n", "y_fitted = model.predict(X_train)\n", "plt.scatter(x_train, y_train, label=\"Actuals\")\n", "plt.scatter(x_train, y_fitted, label=\"Fitted\", c=\"r\")\n", "plt.xlabel(\"scaled displacement\")\n", "plt.ylabel(\"mpg\")\n", "plt.legend()\n", "plt.title(\"LinearSVR with all predictors, C=1\")\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 44, "id": "2c45e26e", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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featurecoefficients
0displacement-2.024878
1horsepower-0.551462
2weight-2.430801
\n", "
" ], "text/plain": [ " feature coefficients\n", "0 displacement -2.024878\n", "1 horsepower -0.551462\n", "2 weight -2.430801" ] }, "execution_count": 44, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pd.DataFrame({\"feature\": model.feature_names_in_,\n", " \"coefficients\":model.coef_})" ] }, { "cell_type": "markdown", "id": "d78e376e", "metadata": {}, "source": [ "## SVR Summary\n", "\n", "So you can use SVR as a more flexible regression option with a regularization penalty (like we have with Lasso/Ridge/ElasticNet) with the same caveats around the bias-variance tradeoff. Another benefit of this model is that it can handle non-linearity and is robust to outliers. There *are* computational issues with large datasets but in the kind of excel-friendly datasets that we see in FP&A this wouldn't be that big of a problem. \n", "\n", "So you might get a good predictive model from this where you want flexibility and the way to cover non-linear relationships. However, we lose a lot in terms of interpretability with this kind of model compared to Lasso and Ridge, and we no longer get the feature selection ability that we had before. " ] }, { "cell_type": "code", "execution_count": null, "id": "ab10e479", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "13c19583", "metadata": {}, "source": [ "## Reference\n", "\n", "1. [`sklearn` SVM-Regression documentation](https://scikit-learn.org/stable/modules/svm.html#svm-regression)\n", "2. Support Vector Regression Tutorial [(Analytics Vidya)](https://www.analyticsvidhya.com/blog/2020/03/support-vector-regression-tutorial-for-machine-learning/)\n", "3. [Support Vector Regression (SVR) using linear and non-linear kernels](https://scikit-learn.org/stable/auto_examples/svm/plot_svm_regression.html#sphx-glr-auto-examples-svm-plot-svm-regression-py)" ] }, { "cell_type": "code", "execution_count": null, "id": "925914a5", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "explore-new", "language": "python", "name": "explore-new" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.8.13" } }, "nbformat": 4, "nbformat_minor": 5 }