{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import pandas as pd\n", "import patsy as pt\n", "from mpl_toolkits.mplot3d import Axes3D\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns\n", "sns.set()\n", "\n", "import statsmodels.formula.api as smf\n", "import statsmodels.api as sm\n", "from sklearn.preprocessing import PolynomialFeatures\n", "from sklearn import linear_model\n", "from sklearn import metrics\n", "from sklearn.feature_selection import RFECV\n", "from sklearn.linear_model import LinearRegression\n", "\n", "from IPython.display import HTML\n", "from ipywidgets import interact\n", "import ipywidgets as widgets\n", "import copy\n", "import warnings\n", "warnings.filterwarnings('ignore')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 6. In this exercise, you will further analyze the Wage data set considered throughout this chapter.\n", "\n", "### (a) Perform polynomial regression to predict wage using age. Use cross-validation to select the optimal degree d for the polynomial. What degree was chosen, and how does this compare to the results of hypothesis testing using ANOVA? Make a plot of the resulting polynomial fit to the data." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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yearagemaritlraceeducationregionjobclasshealthhealth_inslogwagewage
02006181. Never Married1. White1. < HS Grad2. Middle Atlantic1. Industrial1. <=Good2. No4.31806375.043154
12004241. Never Married1. White4. College Grad2. Middle Atlantic2. Information2. >=Very Good2. No4.25527370.476020
22003452. Married1. White3. Some College2. Middle Atlantic1. Industrial1. <=Good1. Yes4.875061130.982177
32003432. Married3. Asian4. College Grad2. Middle Atlantic2. Information2. >=Very Good1. Yes5.041393154.685293
42005504. Divorced1. White2. HS Grad2. Middle Atlantic2. Information1. <=Good1. Yes4.31806375.043154
\n", "
" ], "text/plain": [ " year age maritl race education region \\\n", "0 2006 18 1. Never Married 1. White 1. < HS Grad 2. Middle Atlantic \n", "1 2004 24 1. Never Married 1. White 4. College Grad 2. Middle Atlantic \n", "2 2003 45 2. Married 1. White 3. Some College 2. Middle Atlantic \n", "3 2003 43 2. Married 3. Asian 4. College Grad 2. Middle Atlantic \n", "4 2005 50 4. Divorced 1. White 2. HS Grad 2. Middle Atlantic \n", "\n", " jobclass health health_ins logwage wage \n", "0 1. Industrial 1. <=Good 2. No 4.318063 75.043154 \n", "1 2. Information 2. >=Very Good 2. No 4.255273 70.476020 \n", "2 1. Industrial 1. <=Good 1. Yes 4.875061 130.982177 \n", "3 2. Information 2. >=Very Good 1. Yes 5.041393 154.685293 \n", "4 2. Information 1. <=Good 1. Yes 4.318063 75.043154 " ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "wage_df = pd.read_csv('./data/Wage.csv')\n", "wage_df = wage_df.drop(wage_df.columns[0], axis=1)\n", "\n", "wage_df.head()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Cross val" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "def ols_cv(formula, X, y, k):\n", " \"\"\"Perform k-fold cross validation to return mean MSE score\n", " Expects formula as Patsy formula\"\"\"\n", " # Split dataset into k-folds\n", " # Note: np.array_split doesn't raise excpetion is folds are unequal in size\n", " X_folds = np.array(np.array_split(X, k))\n", " y_folds = np.array(np.array_split(y, k))\n", " \n", " RMSEs = []\n", " for f in np.arange(len(X_folds)):\n", " # Create training and test sets\n", " X_test = X_folds[f]\n", " y_test = y_folds[f]\n", " X_train = np.delete(X_folds, f, 0).reshape(-1, X_folds.shape[-1])\n", " y_train = np.delete(y_folds, f, 0).reshape(-1, 1)\n", " \n", " # Fit model\n", " model = sm.OLS(y_train, X_train).fit()\n", " # Measure MSE\n", " y_hat = model.predict(X_test)\n", " RMSEs += [np.sqrt(metrics.mean_squared_error(y_test, y_hat))]\n", " return (np.mean(RMSEs), formula)\n" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Min RMSE : 39.84520702156631\n", "Degree : 4\n" ] } ], "source": [ "# Perform CV for increasing polynomial order\n", "results = [] \n", "for d in np.arange(1,15):\n", " f = ' + '.join(['np.power(age, {})'.format(i) for i in np.arange(1, d+1)])\n", " X = pt.dmatrix(f, wage_df)\n", " y = np.asarray(wage_df['wage'])\n", " results += [(ols_cv(f, X, y, 10)[0], d)]\n", " \n", "# Plot the results\n", "df = pd.DataFrame({'RMSE': [r[0] for r in results],\n", " 'degree': [r[1] for r in results]}) \n", "fig, ax = plt.subplots(figsize=(10,10))\n", "sns.lineplot(x='degree', y='RMSE', data=df, color='b', ax=ax)\n", "plt.show();\n", "\n", "# Choose model\n", "print('Min RMSE : {}'.format(min(results)[0]))\n", "print('Degree : {}'.format(min(results)[1]))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### ANOVA" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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df_residssrdf_diffss_diffFPr(>F)
02998.05.022216e+060.0NaNNaNNaN
12997.04.793430e+061.0228786.010128143.5931072.363850e-32
22996.04.777674e+061.015755.6936649.8887561.679202e-03
32995.04.771604e+061.06070.1521243.8098135.104620e-02
42994.04.770322e+061.01282.5630170.8049763.696820e-01
\n", "
" ], "text/plain": [ " df_resid ssr df_diff ss_diff F Pr(>F)\n", "0 2998.0 5.022216e+06 0.0 NaN NaN NaN\n", "1 2997.0 4.793430e+06 1.0 228786.010128 143.593107 2.363850e-32\n", "2 2996.0 4.777674e+06 1.0 15755.693664 9.888756 1.679202e-03\n", "3 2995.0 4.771604e+06 1.0 6070.152124 3.809813 5.104620e-02\n", "4 2994.0 4.770322e+06 1.0 1282.563017 0.804976 3.696820e-01" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Derive 5 degree polynomial features of age\n", "degree = 5\n", "f = ' + '.join(['np.power(age, {})'.format(i) for i in np.arange(1, degree+1)])\n", "X = pt.dmatrix(f, wage_df)\n", "y = np.asarray(wage_df['wage'])\n", "\n", "# Get models of increasing degrees\n", "model_1 = sm.OLS(y, X[:, 0:2]).fit()\n", "model_2 = sm.OLS(y, X[:, 0:3]).fit()\n", "model_3 = sm.OLS(y, X[:, 0:4]).fit()\n", "model_4 = sm.OLS(y, X[:, 0:5]).fit()\n", "model_5 = sm.OLS(y, X[:, 0:6]).fit()\n", "\n", "# Compare models with ANOVA\n", "display(sm.stats.anova_lm(model_1, model_2, model_3, model_4, model_5))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Comment:** Cross validation chooses a 4th degree polynomial model. Anova selects the 3rd degree model which scores only marginally below optimal in cross validation. It would be interesting to see which performs best in test." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### (b) Fit a step function to predict wage using age, and perform crossvalidation to choose the optimal number of cuts. Make a plot of the fit obtained." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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epqmpet73dAzEJEmVVWULuh/zw+84//GM8hvPJ//xjPJbrp+PL6HOGPMpSWestT8xxjw0z9udab5OKlVV9Ka5nrHOzgElk/PfCLipqVrRaP+87xscGJEkdXQOKBotn/f9yNxCnxGCwzPKbzyf/Mczym/ZfD6hkLOgQpRfw6/3S/qAMWafpM9J+rAx5i8zvLdV0nJJMsa4kqoldUo6K2nFpHbLJbVlrcc+cMOpfMqWJgAAwG++hDpr7W5r7Q5r7U5Jj0h60lr7+xne/pSkB9Ov71dq0URs8vX08O2ItTbjoddcYE4dAAAIiu9bmmTCGPM5SW3W2i9J+kNJe4wxByT1KLW4QpL+VtJj6eujkj6Rk87OA6tfAQBAUHwPdem96PZMufbQlK8fmfS6S9KHp/mcEU3aHqUQjFfq4on5z+MDAACYD06U8JHL2a8AACAghDofcfYrAAAICqHOR+GQI0dU6gAAgP8IdT5yHEcRN8RCCQAA4DtCnc/ccIhKHQAA8B2hzmdU6gAAQBAIdT6jUgcAAIJAqPMZlToAABAEQp3PqNQBAIAgEOp8FnFD7FMHAAB8R6jzWSTsKE6lDgAA+IxQ5zMqdQAAIAiEOp+54ZBiMUIdAADwF6HOZ1TqAABAEAh1Pou4rH4FAAD+I9T5jEodAAAIAqHOZ5FwmNWvAADAd4Q6nzH8CgAAgkCo85mbDnWe5+W6KwAAoIgR6nwWcUPyJCWShDoAAOAfQp3PIuHUr5ghWAAA4CdCnc8iLqEOAAD4j1Dns/FQF2dbEwAA4CNCnc+o1AEAgCAQ6nzGnDoAABAEQp3PJip1DL8CAAAfEep8xvArAAAIAqHOZ4Q6AAAQBEKdzwh1AAAgCIQ6n00slGBOHQAA8BGhzmcXK3WJHPcEAAAUM0KdzyJuWBLDrwAAwF+EOp8xpw4AAASBUOcz5tQBAIAgEOp85rqOJCp1AADAX4Q6n4VDIYVDDqEOAAD4ilAXANcNEeoAAICvCHUBiIRDzKkDAAC+ItQFIEKlDgAA+IxQF4BIOKQ4oQ4AAPiIUBcAKnUAAMBvhLoAuC5z6gAAgL8IdQGgUgcAAPxGqAtAJEyoAwAA/iLUBYBKHQAA8BuhLgAR5tQBAACfEeoCkKrUJXLdDQAAUMQIdQFgTh0AAPAboS4AzKkDAAB+I9QFIOKGFE94ue4GAAAoYoS6AFCpAwAAfiPUBSASDinpeUokCXYAAMAfhLoARNywJFGtAwAAviHUBSDipn7NhDoAAOAXQl0ACHUAAMBvhLoARMLpUMepEgAAwCeEugBQqQMAAH4j1AXAJdQBAACfEeoCQKUOAAD4jVAXAObUAQAAvxHqAkClDgAA+I1QF4DxUBcn1AEAAJ8Q6gJApQ4AAPiNUBcA5tQBAAC/EeoCQKUOAAD4zV3ojcaYRmttR4ZtH5XUaK19yBizU9KXJdVIel7Sp6218SntX5/Ut3JJGyS1SCqTtF/S8fR7F6y1H1zozxAUQh0AAPDbrJU6Y8wPJ73+gylv/1AZMMbcJemTky59VdJnrLWbJTmSfmvqPdbaXdbandbanZJekfSItfaCpF2S/mX8vUIIdNLkUJfIcU8AAECxmmv4tWnS649Pec+Z68ONMfWSPi/pC+mv10gqt9a+nG6yZ5rPnXz/XZKukfRf05eul7TDGLPPGPOMMeaqufqQD8KhkByHOXUAAMA/cw2/epNeTw1xnub2mKTPSlqV/rpZ0rlJ75+TtHKW+/9E0metteMlrhGlKn2PSbpb0hPGmK3W2rEM+qKGhqpMmk2rqal6wfdKUkkkLDfiXvHnYGb8bvMfzyi/8XzyH88ov+X6+cwV6iYHuUxC3ARjzKcknbHW/sQY81D6ckiXB8Vpy1fGmO1KzcP7j/Fr1to/ntTkKWPMn0naKumtTPrU2TmgZHJeP4ak1EOKRvvnfd9kbshRX//IFX8OppeNZwR/8YzyG88n//GM8ls2n08o5CyoEDWfSt183S9phTFmn6R6SVXpz1sxqc1ySW0z3P9RSf998gVjzO8qNaeuM33JkRS7gj4GJuKGWCgBAAB8M1eo22KMeTv9euOk146k9bPdaK3dPf46Xam7w1r7sDFmvzHmvdbaFyV9QtLTM3zEzZL+asq125VaDfsXxpjbJYUlHZ7jZ8gLETfEnDoAAOCbuULdPT58zwckPW6MqZH0pqS/kSRjzOcktVlrv5Rut17S2Sn3/p6kPcaYByUNS/p1a21BJKWIG6ZSBwAAfDNrqLPW/nTqtfSK1m5rbcZDs9baPUqtdJW19i1JN0zT5pEpX2+bpk2rpN1TrxeCSJjhVwAA4J+59qmrMcZ8NT3UKWPM1yVFJR0zxmwMooPFgjl1AADAT3PtU/eopH5JB4wxvyjpLklrJX0m/R4yxJw6AADgp7lC3c2Sfid9HNg9kr5lrT1jrX1a0mbfe1dEIm5IcSp1AADAJ3OFuvikuXO3SJo8x27OEyVwUSRMpQ4AAPhnrtWvCWNMrVJ7zF0t6VlJMsa0SMroFAekMKcOAAD4aa5Q93dKbTviSPrv1trzxphfkvTnkv7W784VE5dQBwAAfDTXliZ7jDEHlDr5YXyT4EZJf2Gt/Se/O1dMqNQBAAA/zVWpk7X2tSlf/6N/3SlezKkDAAB+mjXUTToWbFrW2quz253ixepXAADgp7kqdVVKnbX6z5K+Lynhe4+KVMQNKZH0lEgmFQ7NtegYAABgfmZNF9ba9ZLuk1Qv6f+RdK+kqLX2p9MdIYaZRdzUrzoez/h0NQAAgIzNWTKy1r5grf2UpGsl7ZP0l8aYl4wxv+1774pIJJz6VTOvDgAA+CHjcUBr7bCkb0j6b0rtUfcFvzpVjMYrdayABQAAfphz9askGWNukvSgpF+W9Iakv5f0hI/9KjoXQx3TEgEAQPbNtfr1jyT9D5IGJH1F0jXW2gtBdKzYRNywJCp1AADAH3NV6v5I0mlJZyXdKelOY8zEm9baD/vXteLCnDoAAOCnuULdw4H0YhFgTh0AAPDTXMeEzXgUmDFmd/a7U7wIdQAAwE9zzam7TtLfSuqS9LC1tsMYs1rSX0m6R6mNiZEBQh0AAPDTXFua/L2kb0l6V9L/aYz5iKS3JVVKusbnvhWViTl1hDoAAOCDuebU1Vpr/y9jTFjSEaVOl/i0tfZf/e9acZmo1LFQAgAA+GCuSt2QJFlrE5LKJN1LoFsYl0odAADw0Vyhzpn0usNau9fPzhQz5tQBAAA/zTX8GjLG1Ckd7ia/liRrbZePfSsqhDoAAOCnuULdVZI6dDHIdU56z5MU9qNTxYg5dQAAwE9z7VM31/AsMhQOOXJEpQ4AAPiD0BYQx3EUcUOKE+oAAIAPCHUBirghKnUAAMAXhLoAuW5IsUQi190AAABFiFAXoEg4pFjcy3U3AABAESLUBSjihlj9CgAAfEGoCxALJQAAgF8IdQFKLZRgTh0AAMg+Ql2AUnPqqNQBAIDsI9QFKOKGmVMHAAB8QagLEPvUAQAAvxDqAkSoAwAAfiHUBSgSZksTAADgD0JdgKjUAQAAvxDqAkSoAwAAfiHUBYhQBwAA/EKoC1AkHFIi6SmZ5PxXAACQXYS6AEXc1K+bxRIAACDbCHUBcsdDHUOwAAAgywh1AYoQ6gAAgE8IdQGKhBl+BQAA/iDUBYhKHQAA8AuhLkDjoS5OqAMAAFlGqAsQlToAAOAXQl2AJubUxRM57gkAACg2hLoAuexTBwAAfEKoC9DFSh2hDgAAZBehLkDMqQMAAH4h1AWIUAcAAPxCqAtQxA1LYk4dAADIPkJdgJhTBwAA/EKoCxDDrwAAwC+EugC5YUeSFGf4FQAAZBmhLkCO4yjihqjUAQCArCPUBSwSJtQBAIDsI9QFLOKGWP0KAACyjlAXMIZfAQCAHwh1ASPUAQAAPxDqAsacOgAA4AdCXcCYUwcAAPzgBvFNjDGPSmq01j5kjNkp6cuSaiQ9L+nT1tr4lPa3S/qWpDPpS3uttQ8bY5ZI+pqk9ZKiku6z1p4P4mfIFoZfAQCAH3yv1Blj7pL0yUmXvirpM9bazZIcSb81zW27JD1qrd2Z/ufh9PU/lfSCtXarpMcl/bWPXfeFS6gDAAA+8DXUGWPqJX1e0hfSX6+RVG6tfTndZI+kj09z6/WSPmCMedsY86QxZlX6+r1KVeok6euS7jHGRPzqvx+YUwcAAPzg9/DrY5I+K2k8lDVLOjfp/XOSVk5zX4+kb1hrv2WM+bSkf5X03sn3W2vjxpg+SU2S2jLpTEND1UJ+BklSU1P1gu+drLqyVO09w1n7PFzE7zT/8YzyG88n//GM8luun49voc4Y8ylJZ6y1PzHGPJS+HJLkTWrmSLqsbGWt/fSk118yxvy5MaY23X6yae+fSWfngJJJb+6GUzQ1VSsa7Z/3fdNJJBIaGY1n7fOQks1nBH/wjPIbzyf/8YzyWzafTyjkLKgQ5Wel7n5JK4wx+yTVS6pSKtCtmNRmuaZU2YwxIUl/IOnPrbWJSW/FJbWm7zlrjHElVUvq9O0n8EHEDTP8CgAAss63OXXW2t3W2h3W2p2SHpH0ZHrBw4gx5r3pZp+Q9PSU+5KSPibpVyTJGPOgpFestYOSnpL0YLrp/Uotmoj59TP4IRJmSxMAAJB9gWxpMsUDkh43xtRIelPS30iSMeZzktqstV9SarXs48aYP5LUrotB7g8l7THGHFBq3t0DQXf+SrGlCQAA8EMgoc5au0epla6y1r4l6YZp2jwy6fUBSbdM06ZL0of96mcQIm5I8YSnpOcp5EydIggAALAwnCgRsIib+pXHqdYBAIAsItQFLBJO/cqZVwcAALKJUBew8Uod8+oAAEA2EeoC5oYJdQAAIPsIdQGjUgcAAPxAqAsYoQ4AAPiBUBewiVDHQgkAAJBFhLqARZhTBwAAfECoCxjDrwAAwA+EuoAR6gAAgB8IdQGbOFGCOXUAACCLCHUBY04dAADwA6EuYKx+BQAAfiDUBYw5dQAAwA+EuoBdDHWJHPcEAAAUE0JdwDj7FQAA+IFQFzDHceSGQ8ypAwAAWUWoy4GIG6JSBwAAsopQlwMRN6Q4oQ4AAGQRoS4HImEqdQAAILsIdTkQcZlTBwAAsotQlwPMqQMAANlGqMsBQh0AAMg2Ql0OMKcOAABkG6EuB5hTBwAAso1QlwMMvwLIFc/zct0FAD4h1OUAoQ5ALsQTSf3pV97Qf/vWO4ozWgAUHUJdDjCnDkAu/ODV0zpxrk9vHInqH586rCRVO6CouLnuwGLEnDoAQYv2DOu7L57UdZubtGZZlb79wgnVVEZ0//s35bprALKEUJcDLsOvAALkeZ6+9qMjchxHv/ELm1RXXaq+wZh+8OoZ1VSW6J4b10x7T8/A2LRz8EpLwiovcRUKOUF0H5hW0vMU7RnW2fYBnWkf0NnooMpLwtq2rl7b1tartrIk110MHKEuB5hTByBIbx6J6u3jnbr//RtVX1MmSfr13ZvUPzymbz57XDUVJfro+6slSa3RAb1y6IJePdiu9p7hWT+3rCSs8lJXFaWuwuHcBbxkUkokk0okPSUSScWTnrykp1DIUTgUkht2FA6HFA45crLQTUeO5Iy/TpmIvp7kyZ9hbdcNKx5P+PLZhSaZ9NTeM6yxWOrvUseRltVVqH9oTC/uPy9JWr20StvW1aulsVL9QzH1DY6pd3BUfYNjGhiJTzy0yc8r5DgKh5z0vzup//W81PdLeF7qf5Oedpkm3Xvz2qB/7DkR6nIgEg4pnkjK8zw52fgTBgBmMDwa17/8+KhWLa3SL+xaOXE95Dj6zXu3aWA4pn986rCifaN68/AFnY0OynGkrWvqdNeulSqNhC/5PM/zNDqW0NBoXMOjCQ2PxjU8Glcimdv5eePBzQ05CocdhRwnFfLS/8QTSSUSV95Hz7s0snmeLguKjuTLn+0lJa7GxuJZ/9xCtWVNnVY1VWnl0iq1NFaqJBJWMunp1IV+HTjRpYMnu/Sj185M/LvphkOqrYyoprJENRUlmlxodhxn4tkmkhfDWyyWkOM4CjuOIuGQwpFU0KuuyM8qIKEuB8ZLwu3dw1pWX5Hj3gAoZt/52Qn19I/qdz66Q+HQpWvjIm5I/+PHrtIXv77q1V2YAAAgAElEQVRXT77wrja21OqB3Zu1a8vSRTl0le+amqoVjfbnuht5LRRytG5FjdatqNGHblmrkbG4egfGVF1RovLScNEXUgh1OXDVhgZJ0t6jHbr7xtU57g2AQnK8rVcHTnTpl25ZO+dfUKcv9OvHr5/V+3Y2a0NL7bRtyktd/W8PXKfyylIlqQKhyJSVuCqrXzxRhy1NcqCxtlyrl1XpzaPRXHcFQIF57s1WPfHCCR050zNru6Tn6Z9/YFVZ7upXbt8wa9vSSFgNteXZ7CaAHCDU5ch1m5p0/GyvegfHct0VAAWktWNQkvS9l0/N2u71w+063tanj9+xUVXlkSC6BiDHCHU5cu3mJnmS3jrWkeuuACgQSc9TW+egyktd7X+3S6fOTz+/Kp5I6tvPv6uWpkrdsmN5wL0EkCuEuhxZ2VSpxtoyvXmEIVgAmensHdFYLKlfumWtykrCemqGat3P95/Xhe5h/fJt69lLDlhECHU54jiOrtvcpIMnuzU8yuRkAHNrjaaGXje21OrO61r0um3Xha6hS9rE4gl952cntL65Rjs3NeaimwByhFCXQ9dualQ8kdSBE1257gqAAtDaMSBJam6s0Ad2rVI4FNLTr5y+pM2zb7aqu39Uv/K+9UW/fQOASxHqcmjjylpVlUdYBQsgI20dg6qrLlVFWUS1VaW67eoV+vn+c+ruH5WU2mj4P146pW1r67R1bX2OewsgaIS6HAqHQrpmY4PeOtapeIJjwwDMrrVjUC2NlRNf333jaiWT0g9fS1XrfvTaGQ0Mx/TL75t9CxMAxYlQl2PXbWrS8Ghcdo49pwAsbsmkp3OdQ2qeFOqalpTrhm1L9dzeNl3oGtL3Xz2t6zY3aX1zTQ57CiBXCHU5tm1dvUrckPayChbALKK9w4rFk5dU6iTpF29ao9FYQn/x9b0aHUvoY7ety1EPAeQaoS7HSiNhbV9Xr71HO+R5uT0QG0D+Gl/52tx0aahb2VSlnRsb1d0/qpt3LFdLU1UuugcgDxDq8sB1m5vU3T+qkzNsJAoA4ydJNDdUXvbeR25dpzXLqvXRW6nSAYsZoS4PXLOxUY4j7WUVLFD0Rsbi+uazxzQ4EpvXfW0dg2qoKVN56eWHk69ZXq0/evh6NS7h/FZgMSPU5YGq8ojMqiXae4Qjw4Bi9/LBC3r6ldN64a1z87qvNTqolqbLq3QAMO7y/+RDTly7qUlf/8lRXege0rK6ilx3B4CksVhCX/rOAXX3j2osntBYLKHRWFKxRFIfunmN7r157bw/843D7ZKkVw5d0N03rs7onkQyqfNdg9qxnr3nAMyMSl2e2LqmTpJ0oq0vxz0BMO50+4D2HeuQG3bU0lSlLavrdP2WpVpeX6GnXj417yP++ofGdOhUj2orS3TqfP9lR3zNpL17WPGEd9nKVwCYjFCXJ5bVVyjkOBOToQHkXrRnWJL08C9u1e98dId+80Pb9IkPGj34QaPh0YSe29c6r8/be7RDSc/TJ+/eIkl69dCFjO6bWPlKqAMwC0Jdnoi4IS2rL1cboQ7IG9HuYTmSmpaUXXJ93YoabV1Tpx+9dkaxeOanwbx+uF1NS8p0zcYGbV5Zq1cOtWe0lVHbLCtfAWAcoS6PNDdWEuqAPNLeM6wl1aWKuOHL3rvnptXqGRjTywfOZ/RZA8MxHTrVrV1blspxHN2wbZnaOgYnqnCzae0YVNOSMpWWXN4PABhHqMsjLY2Vau8ZViyeyHVXACg1/No0wzYh29fWa/XSKj39ymklM6i27T0SVSLpaZdZKknaZZYq5Dh6JYMh2LaOQbU0sqkwgNkR6vJIc2OlPE8615nZ5GkA/mrvGdbSGUKd4zi6+6bVOt81pLeOzr0d0es2qsbaMq1dXi1Jqqks0da1dXr10IVZh2DjiaTOdw0xnw7AnAh1eWT8D20WSwC5NxpLqHdg7LL5dJNdv2WpGmvL9NQrp2YNZoMjMR082TUx9Druhq1LFe0Z0YlzM58mc6F7WIkkK18BzI1Ql0eW11coHHKYVwfkgY70ytemuplPaQiHQvrgDat1vLVPR8/2zthu75GOS4Zex71nc5PcsDPrKtjW6IAkVr4CmBuhLo+44ZCW1pVnNHEagL/a06Fu6ZLZNwO/9eoVqiqP6OmXT83Y5nXbroaaUq1bUX3J9YqyiK5a36BXD11QMjl9pa+tY1COI61oYFNyALMj1OWZlsZKtXUS6oBci/aMSLp8O5OpSiNh/cJ7Vuqt4506m66qTTY0EtOBE116j7l06HXcDVuXqWdgTEfP9kz7+a0dg1q6pFwlEVa+ApgdoS7PNDdWKto9rLEYK2CBXIp2D6u8NKyq8sicbd//npUqiYT0zWePa2A4dsl7+46lhl6v37J02nt3bmxUSSSkVw61T/t+W8cgQ68AMkKoyzMtTVXyxApYINfae4bVVFs+bXVtqqryiD5663rtP9Gp//1LL+n7r5ye2Jro9cNR1VWXal1zzbT3lpaEtXNjo14/3K544tKNjGPxpC50DauliVAHYG6EujzTnJ43w2IJILeiPcOzLpKY6u4bV+tPHr5BG1pq9Y1nj+n/+H9f1vNvtWn/ic6JPelmcuPWZRoYjmnvlK1RLnQNKel5VOoAZIRQl2eWpVfAsq0JkDvJpKeO3pn3qJvJyqVV+v37rtH/+ms7VVVeoj1PH1Y84WnXlqZZ79uxvkENNWX6+yf267EnD0ws0jjbkZqjt5KNhwFkwM11B3ApNxzSsvoKKnVADvUMjCqe8GY8TWIu29bW6w8fqtMrBy+oNTqoDS21s7aPuCH9yX+6Xk+/clo/eu2MXj/crjt2tiiRTCrkOFpWz8pXAHMLJNQZYx6V1GitfcgYs1PSlyXVSHpe0qettfEp7bdKeizdZljSb1tr9xlj1kjaL+l4uukFa+0Hg/gZgtTcWKnT52fejBSAv9q7596jbi4hx9HN25dn3L6iLKJfuX2D3n/dSn33xRN6dm+rkp6nFQ0VirgMqgCYm+9/Uhhj7pL0yUmXvirpM9bazZIcSb81zW2PS/qv1tqdkj4r6Z/S13dJ+hdr7c70P0UX6KTUtibRnmGNsgIWyInx4c+FVuquRF11qR68e4v+y6du0M3bl+uOnS2B9wFAYfI11Blj6iV9XtIX0l+vkVRurX053WSPpI9Pc+uXJX0//fptSavTr6+XtMMYs88Y84wx5iq/+p5LLY2V8iSdZwUskBPRnmGFQ44aakpz1ocVDZX6rV/apt3Xr8pZHwAUFr8rdY8pVWnrTn/dLOncpPfPSVo59SZr7R5r7XiZ6nOSnki/HlGq0nedpEclPWGMKfGh3zm1YuIM2Ms3MgXgv2jPsBpqyhQOMewJoHD4NqfOGPMpSWestT8xxjyUvhySNPksHEdScuq96fsdSV+UdJOkOyXJWvvHk5o8ZYz5M0lbJb2VSZ8aGha+gqypqXruRllSV18pN+yoezAW6PctdPyu8l+hPKPugTE1L60qmP5my2L7eQsRzyi/5fr5+LlQ4n5JK4wx+yTVS6pSKtCtmNRmuaS2qTcaY1xJX5HUIulOa21v+vrvKjWnrjPd1JEUm3r/TDo7B2Y8X3E2TU3VikaDXbiwrK5Cx8/0BP59C1UunhHmp5CeUVt0QNdvXVYw/c2GQno+ixXPKL9l8/mEQs6CClG+jS1Ya3dba3ekFzs8IulJa+3DkkaMMe9NN/uEpKenuf1RpVa+fmA80KXdLuk3JckYc7uksKTDfv0MudTcWMnwK5ADQyMxDY7E5zzzFQDyTS72qXtA0uPGmBpJb0r6G0kyxnxOqardv0v6jKQTkl4xxkiS0uHw9yTtMcY8qNRWJ79urZ12+LbQtTRW6vXD7RqNJVTKQd5AYKI9I5I0742HASDXAgl11to9Sq10lbX2LUk3TNPmkbn6Za1tlbQ7+z3MP83pFbDnOge1dvn0Z0YCyL5cbmcCAFeCpV15avysx9YoJ0sAQYoS6gAUKEJdnlpaV65wyOG4MCBg7d3Dqq6IqLyUUxQBFBZCXZ5ywyEtb+AMWCBo0Z5hqnQAChKhLo+1NFaqlVAHXJGO3mH1DY1l3D7aM8wiCQAFiVCXx5obK9XRO6LRMc6ABRbqr775tr70xP6M2sYTSXX2jVCpA1CQCHV5rCW9WKKtk2odFq/2nmG9dOD8gu4djSV0rmNQh0/3ZDSVobNvRJ7HIgkAhYlQl8fGV8Ayrw6L2XdfPKHHv3twQcHuXOfgxLmEz+1rnbN9tDu18nVpHaEOQOEh1OWx8RWw57uGct0VICc8z9PBk92SpK/8wOrCPP+/ML4l0Jrl1fr5O+c1Gpt9KgN71AEoZIS6PBYOhVRXXarOvpFcdwXIKs/z9OPXz6g1OvtReOe7htTdP6oP3bJWbsjRl75zQLF45ofItEYH5YYd3XfnRg2NxvXqoQuzto/2DCvihlRbVZLx9wCAfEGoy3ONtWXq6CXUobgcONGlf/nxUT354slZ241X6W69eoX+071bdepCv7753LGMv09rx6BWNFRqy+olam6s1HN722Zt396d2s4k5DgZfw8AyBeEujzXUFOmTkIdikjS8/TN545Lkt5+t3PWytvBk11qrC3T0iXlunZTk35h10r9+PWz2ns0mtH3au0YUEtTpRzH0R07m3XiXJ9One+fsX20Z0RNtWXz+4EAIE8Q6vJcQ22ZevpHFU9kPuQE5LOXD5zXmfYB3bx9uUbHEjp0qmvadolkUodPd2vb2vqJax+/Y6PWLKvW//e9Q+qaY1rC0EhcXX2jE6vIb9mxQiWRkJ7dO/2CCc/zUhsPs0gCQIEi1OW5htoyedKcf4EBhSAWT+jbz7+rNcur9cm7jUpLwnrzSMe0bU+e69fwaELb110MdRE3pE9/ZLviSU+PPXlAieTM/7Ezvmq8pbFKklRR5urGrcv08sHzGhqJX9a+byim0ViCRRIAChahLs811qb+gmEIFsXgJ2+0qrNvVB+/Y4NKImFdvb5B+45GlUx6l7U9eLJLjqQtq5dccn1ZfYV+465NOnq2V4dP9cz4vVo7UoswWpoqJ67deV2LxmLJabdHiaZXvnKaBIBCRajLc43p+T0slkAQkp6nZ/e2at/RDg2PXl7NuhIDQ2P63ksntWNd/cSQ6rWbG9U3FNO7bX2XtT9wslurl1WruuLylai7tiyV40j2zCyhLjqo0khYDZPmyK1dXqO1y6v13N5Wed7FIHnkTI/+7dnUAozl9RUL/REBIKfcXHcAs6urLpXjiG1NEIgDJ7r0zz+wkqRwyNGG5hptW1ev7Wvrta655opWhf7bM0c1NBLXr96xYeLa1esbFQ45evNoVBtX1k5cHxmL63hrrz5w/appP6u81NWaZdU6Oluo6xhUc2PlZX2+89oW/ePTh3X0bK88z9N3fnZCh0/3qKYiogd2b9YyQh2AAkWoy3NuOLVXHZU6BOHFd86psszVpz+yQ4dOdevAyS5954UTeuKFE3rfNc166J4tC/rcrr4RPfnCu7pp+3KtXlY9cb2izNXWNXV680hUH79jg5x0ADtypleJpKdtk+bTTbV51RI982arYvGkIu7lgw6t0QFdvaHxsus3bF2mf33mmP76397W8GhctZUl+rW7Nun2nc0qjYQX9PMBQD4g1BWAhhr2qoP/BkdievNIh27f2azt6+q1fV29flUb1D80pm+/cELP7W3VrVev0MaW2rk/bIpvv/CuPE/62PvWXfbetZub9M8/sGrrGFRLU2pRw8GTXXLDIW2a5XttXrVEP3ztjE6c69PmVZfOu+sbGlPfUOyS+XTjSkvC2r1rpV5857w+ets63X5Ns0oIcwCKAHPqCkBjLXvVwX+vHrygeCKpW69accn16ooS3XfnBi2pKtHXfnRESe/yRQ2zae8e0s/fOa8P3bpuYuHPZDs3pqppbx69uAr24MlubVpZO2vY2pQerj169vIh2Lb08WDThTpJ+uht6/XF37lFu3etItABKBqEugLQUFum7v7RWbdvAK7Uz945r5VNVVq9rOqy98pKXN1350adOt+vn719bl6fe/h0jzxJH7xpzbTv11WXan1zjfYeSW0o3Ds4prPRAW1bWzfr51ZXlKilsXLaxRKtU7YzAYDFgFBXABpry5X0PHX3j+a6KyhSrR2DOnGuT7detXxiXttUN25bpk0ra/XvPz2uoZFYxp99rLVXlWXuxNDqdK7d1KiT5/vV1TeiQydTmxFvn2U+3bhNq5bo2Nney7ZEaY0OqLLM1RLOcAWwiBDqCsD4lgwMwcIvL75zTuGQo5u2L5+xjeM4emD3Zg0Mx/TEz05k/NnHW3u1oaV2xrAoSddtbpIk7T3aoYMnu1VZ5mr10uoZ24/bvKpWI2MJnWkfuOT6+MrX2b4nABQbQl0BaKxhrzr4J5FM6qX953X1hgbVVM5e2Vq9rFq372zRM2+06mx0YNa2UmrxxbnOIW1orpm13YqGSi2vr9CbR6I6eKpLW9fUKRSaO5BtXplaIDF5CNbzPLVGB2etDAJAMSLUFYD6Gip18M/+d7vUOzim905ZIDGTX37fepWXhvX1Hx+9ZAPf6YxvKrwhgxWz121u0uFT3erqG73kvNfZ1NeUqbG2TEcmhbqegTENjcYnznwFgMWCUFcAIm5ItVUlVOrgixffOaeq8oiu3tCQUfuq8og+9r71OnSqW2/Y6Kxtj7f2ynGkdStmr9RJqdMlxiPibPvTTWVWLdGRMz0TAbM1XUFcOcPKVwAoVoS6AtFYW8apEsi6geGY9h3r0M3bl8sNZ/7Hwe07m7WyqSq9/9zM1brjbX1qaaxSeencW2KuW1Gj2qoSNdaWzev81c2rlmhgODXMK11c+dpMpQ7AIkOoKxCpDYiHc90NFJlXDl5QPOHpvVfNvEBiOuFQSHdc26xznUMTYWqqpOfp3bY+bWyZu0onSSHH0Sfv3qIHdm+eV1/GNx4eH4JtjQ6qprJk2jNjAaCYEeoKRGNtubr6Ri/bugG4Ej9755xWL6265OiuTI1vGrz36PRDsOc6BjU8Gs9oPt3kz7xm4+VHe81maV25aitLdCS9CXFrxwDz6QAsSoS6AtFYW6ZE0lPPAHvVITvOtg/o1Pl+vffqzBZITFVfU6Z1K6q1d9JJEJMdn8ciiSvhOI42r1oie7pHSc9Ta8fgjCdJAEAxI9QViIm96phXhyz54etnFHFDumnbsgV/xrWbmvRuW9+0G2Mfa+1VVXlEy+oynx+3UJtXLVF3/6js6R6NxZJayXYmABYhQl2BaKxlrzpkT1ffiF7af163Xb3iiuaeXZveNHjfscurdcdbe7W+uSaQDYDH59U9++ZZSSySALA4EeoKRD0bECOLfvjaGXmedPcNq6/oc5obKrS0rnzi3NZxmW46nC0tTZWqKHUnhoKZUwdgMSLUFYjSSFg1FRE2IMYVGxiO6af72nTjtqVqnMfWIdNxHEfXbWrSoVPdGhqJT1yfz6bD2RByHG1aWatE0lNDTWlGW6gAQLEh1BWQhtoydbKtCa7QM2+c1WgsoXtuXJOVz7t2c6MSSU/vvNs5cW0+mw5ny+bVqSFYjgcDsFgR6gpIQ225OvpY/boYJZJJ7X+3c85jueYyOpbQj984q2s2NGjl0uyEnw3NtaqpiFyytcnx1t6MNx3OlvFzYJlPB2CxItQVkMbaMnX2jih5hX+xo/D88LUz+r+/8ZYOnOi6os95/u02DQzHdO/Na7PTMUmhkKOdmxr19vFOxeLJ1KbD5zLfdDhb1iyv1nt3LNeNWxe+mhcAChmhroA01JQpnkiqf3As111BgAaGY/rez09Jkg6cXHioiyeS+sGrp7V5Za02rszuXLdrNzVpZCwhe7pbbR2DGh5NBDafbpwbDuk3P7RNa5bPfyNlACgGhLoCwrYmi9NTL53S8GhcS+vKdfBk94I/55WDF9TVN6pfvDk7c+km27a2TqWRsN482hH4IgkAQAqhroA0EOoWnc7eEf34jbO6Zcdy3Xb1Cp1pH1DvAiq1Sc/TUy+f0sqmKl21viHr/Yy4YV21vl57j0Z17Gxwmw4DAC4i1BWQhhpOlVhsvv3Cu5Kkj962XtvW1kuSDp2a3xDs8GhcP3rtjM51DukXb17t22bA125uUu/AmF49fCGwTYcBABexmVMBKS91VVnmUqlbJE5f6NdL+8/rgzeuVkNtmeqqS1VZ5urgyW7dtG35rPd29A7rrWOdeutYhw6f7lY84Wn10ipdv2Wpb/29ekODwiFHY7EkQ68AkAOEugLTWFvOBsR5Lp5I6j9+flIfuH6VKsoiC/6cf3vuuCrKXN2bngMXCjnasqZOB092yfO8GSth//C9g3rxnfOSpGV15Xr/dSu1c2OjNq6sVTjkX3G+siyizauW6NCp7sBOkgAAXESoKzCNtWVq6xzMdTcwi6Nne/XkiydVWRbR7utXLegzDp7s0v4TXbrvzo2qnBQMt62t1xs2qgvdw1peX3HZfee7hvTiO+d1y47luvfmNVrREOyebbdetUJnowNaT6gDgMAxp67ANNSWqbNv5Io3oYV/oj2pUz/eOdE5R8vpJT1P33z2uBpqSnXXe1oueW/72jpJqdA3neffalPIcfSrd2wIPNBJ0s07luuvfvdWlZXw34sAEDRCXYFpqC3TWCyp/uFYrruCGYyHOnu6R2OxxLzvf2n/eZ260K+PvW+9Im74kvealpSrsbZs2q1N4omkXnznnHZuatSSqtKFdT4LWCABALlBqCswjeMrYJlXl7fau1OhLhZP6sjZnnnd29oxqK/+8Ig2ttTqpu2XL4ZwHEfb1tbp0KluJZOXVmv3Hu1Q/1BMt+9sXnjnAQAFi1BXYMb3qiPU5a9oz7A2r6yVGw5p/7uZbz8yNBLX333rHZWWhPXbH92h0AwVr21r6zU8GteJ832XXP/pvlY11JRqe3rrEwDA4kKoKzCcKpH/oj3Dammqklm9RO+8m9m8uqTn6R++d1DR7mH99ke2q6565uHTLWvG59VdHIJt7x7SwZPduu2aZoVCDH8CwGJEqCswFWURlZe6VOry1OBITIMjcTUtKdeOdfU61zmU0bN6+uVT2nu0Q/e9f6PM6rpZ29ZUlGj10iodmrRY4vm3zslxpNuuZugVABYrQl0BaqwtU7R3eM52nuct6EgpLNz4IommJeXakT6Oa/8cq2APnOjSt55/VzdsXardu1Zm9H22ravXsdZejY4lFE8k9bN3zumaDY2zVvgAAMWNUFeAGtPbmszlwIku/S9/96LaOtjXLijjiySalpSpuaFC9TWls86r6+gZ1mNPHlBzY6UevmdrxitHt62tUzzh6cjZHr11rEN9g2N6HwskAGBRI9QVoIbaMnX0zr1X3Zn2ASU9L+N5Xbhykyt1juNox7oGHTzVpXgieVlbz/P0+H8cVCKZ1Gc+dpVKS8KXtZnJppVL5IYdHTzZpZ/ua1NddamuWs8CCQBYzAh1BaixtlyjYwkNjsRnbRdNz+Wabk8z+CPaM6yaitS8R0nasa5ew6MJvdvWd1nb1w636+jZXt3//k1aNs3pELMpjYS1saVWrx5q14ETXbrt6hW+HgEGAMh//C1QgC6ugJ19Xl3H+Ca4Z7qnrRQh+6I9I2paUj7x9ba1dQo5zmXz6sZiCX3z2WNavbRKt161YkHfa9vaenX3j0oskAAAiFBXkCZCXc/s8+qivSMqLw1rLJbU8dbeILq26LV3D6up7mKoqyiLaENLjd6ZMq/uB6+dUWffqH7trk0L3oJk+7rUcOtV6xsm9i8EACxehLoClMledUnPU2fvsG7YukyOwxBsEOKJpLr6R9RUW37J9R3r6nXqfL/60iuRu/tH9dRLp/SezU0Te84txJpl1bpjZ7M+cuu6K+o3AKA4EOoKUEVZRBWl7qzDr70DY4onPK1eWqX1K2p08FTmJxtgYTp7R+R50tK6KaEuvbXJgfS+ct96/rgSyaQ+/v6NV/T9QiFHD969RetW1FzR5wAAigOhrkA1plfAzmR8FWbjknJtXVuvE239GppjYQWuTPukla+TrVleraryiPa/26kT5/r04jvntfv6VVo6pR0AAFeCUFegGmrLZj2pYLyK11hbpu1r65T0PNkzDMFOlUx6+u7PT6YWHFyh6AyhLuQ42rG+XvtPdOnrPzmqmoqIPnTz2iv+fgAATEaoK1CNteWK9g7PuFfd+CKKxtoyrW+uVUkkxLy6aRw926NvP/+uvvvzk1f8We3dw4q4IS2pKrnsvR3r6tU/FNOxs7365ds3TGx5AgBAthDqClTjkjKNxZLqH45N+35H74hqq0oUccOKuCFtXrVEB08yr26q8XluL+0/r+HRKxuejvYMT2w6PNX2dal5dauuYAsTAABmQ6grUOMrYGcagu3oHb5kFea2NanD5bMxzFhMDpzoVk1liUZjCb104PwVfVa0Z3jGeXK1lSX6zXu36j9/ePuCtzABAGA2hLoC1ZgObDMtloj2jKhxycW9y7atTW2dQbXuooHhmE6e69MdO5u1Znm1nt3bOufRazPxPO+y3/lU771qhZobKxfaXQAAZkWoK1ANNTOfKjG+X1rjpErdyqVVqq6IEOomOXSqW56kHesadOe1LWqNDuro2YVt0tw3FNNoLMGKVgBAzhDqClRFmavKMnfaUyW6+kfleVLTpFMGQo6jrWvqdPBk94KrUcXmwIkulZeGta65WjduXabyUlfP7W1d0GdFu1PheuoedQAABMX3JXjGmEclNVprHzLG7JT0ZUk1kp6X9GlrbXxK+yWSviZpvaSopPusteeNMSWS/kHSLknDkn7DWnvY7/7ns4YZ9qrrmLRH3WTb1tbr1UPtausYVEtTVSB9zFee5+nAiS5tWf3/t3fv0XGXdR7H3zPJNJkkTSaXSdv0RtvQpy21lIZLuYggN7ktyi6guCqCeFA5u66rsnsU9KwLuh6PuopIIW8AABT5SURBVLjrritidVGQxV0Pgi33q0qhV9pCH9rS0vRCM2muTWZymZn94zfTTJrJJCnJzPSXz+ucns785vebPMnT3/Sb7/M836eSAq+Xgilw7tLpPLdxPx+96GTKS4euYM1kuHImIiIi2TKhmTpjzEXAp1IOPQDcbq1dCHiAW9Nc9s/AS9baxcBPgX9NHP8boCtx/IvAqolq94kiWOFPO/yaDPSCx+wHOjCvTqVNDrWGOdwRYWli/1SAC06bSTQW56XXD4z5/ZrawngYWMAiIiKSbRMW1BljqoC7gXsSz+cCfmvtK4lTVgHXpbn0SpxMHcCDwOXGGF/qcWvti0DQGDNnotp/IkgWID52ODXUFsbr8VBZXjToeE2Fn9pKf1bm1cXicd7Y00JHd++I567b3sS3fvEaPb3RCW9X0rbdzs/glJSgrq6mlEVzAryw6QCx2NiGqENtYQJTi/AVFoxrO0VEREZrIjN1PwG+BiTTQnXAwZTXDwKz0lx39LzE0GwHEBzD9ZNGTUUxvf0xOrsH16prbo9QVV5EgXdo9y45qYrtjW30R2MT1q439rTwrV+s43sPbeKxURT13banhd0HO3nuOOezHY9tu1uoqSimtrJk0PELV8yiuT3C1t2Hx/R+TRnKmYiIiGTDhMypM8Z8Bmi01j5jjLkpcdgLpKY/PEC6yOLYIl7J80Z7/bCqq49/HlkwOPW4r50oC+Y4WaZ+j2dQ+9q6eqkLlqVt88pldTy/cT+t4X6WJArijpfdB9pZ9dgbbLBNBCv9VE4touVI74g/u/YuJyh94rW9XHeJoXiMuy00tXbT1tkz6j7qj8awjW18YMWsIddcWlXKQ8/s4OWth7ho5bxRt+Fwe4SGRdPy8t9JPtHPJ7+pf/Kf+ii/5bp/JmqhxA3ADGPMJqAKKMMJyFJL6U8H0k1e2p94bZ8xphCYChwG9iWu3zXC9cM6fPjImIfVwOmkUKhzzNdNNF8ixt35TgtVJb6jxw82d3Hqguq0ba4LFOP1eHhhXSPBNNtZHY/+aIxfrrH8cctBSooLuf7Cei5qmMlPf/8GjYc6R/zZ7WvqZHpVCe+2dPPwk9u5fOXcUX/t9q5e7rxvLWUlPu785Omj2n7rrcY2wj39LJhelrZt575vBo//aQ9v7mgastgknZ6+KK2dPUz1F+blv5N8ka/3kTjUP/lPfZTfxrN/vF7PcSWiJmT41Vp7ibV2qbV2OXAX8Ki19tNAxBhzbuK0TwCr01z+B+CTicc34Cya6Es9bow5D4hYa/dORPtPFNUVyVp1Aytge/uidHT1DhuMlPl9mDkB1r8VGrfSJpt2NPPyloN8sGEW37ntbD501hx8hQUEK/00t0cyBtL90RgtHT2cvijI0vlVrF67d9TbdcXjcX65ZjuR3n4OtXTzm2d3juq6bbtb8Hhg8dzKtK9fsLwOPPD4K++M6v2SK181/CoiIrmU7Tp1Hwd+YIzZjpO9uxfAGPNPxpjbEufcCaw0xmwDPg98IXH8R0BR4vi9OEHhpOYvKqTM7xsU1CUfZ1qFeboJcqilm/3NXePSjvVvhSjz+/joRfWUFg9kDGsDfqKxOC0d6Xe9AGjpiBCLxwlW+PnwefM5Eu7j2Q37RvV1/7ztXTbuaOba8xdw7QX1vLj5AJt2NI943bY9LcyfUU5JSltTVZUXc3HDbF7YdIA1a0f+vUHlTEREJB9MeJ06a+0qEuVHrLWbgTPTnHNXyuMW4C/SnBNhcHkUIVmrbqCsSfJx6r6vx1qxMMgDT77Fehti1nusV9fXH2PzzmbOWFQ7ZGFGMnPV1BYeNnMYShRPrq30M7+unGULqlmzdi8fXDEr41BqS0eEXz21g/pZFVx6xmyqqktZu/VdVq1+k3+aeRblJemHlrsifew+2MHV55yU8fu64YP1tB7p4eHndlJe6uOcpTOGPVeFh0VEJB9oR4kTXE1F8aBdJZJBUqY9SCvKiqifVcF62/Sev/62PS1EeqM0mNohrwUrB4K64TQdk+W65rx5dEX6eXpd47DXxONxVq3eTjQW45YrF+P1evAVFvDZq5fQ3dPPL1ZvH3Zo+c09rcTjzirgTLxeD7detYTFcyv5+R+28/qu4VfDNrWF8RcVUFo84b8jiYiIDEtB3QmupqKYwx0Dteqa28P4Cr1UjLAjQoOpZV+oi0Mt3cOe89sXdvH9hzdlnHu33jbhLyo8Wtg4VdXUYgq8nqOZrHRCbWEKC7wEpjo19ebNKGd5fQ1PvNpIdyT93LoXNx9g6+4WrrugnmkpJUlm1ZZx7fkL2JiY45fOG3taKJ5SwPy68mHblOQr9HL7te9jZrCUH/9uC7sOpN8XNtQWIRjw4/Ecu3BbREQkexTUneBqKvz09cfo6HKK/Da3RaipKB4xwGhYGARg3TDZupaOCGvW7mXr2y1sfyf9DhT90RibdjSzvL6awoKh/5S8Xg81AX/GTF2oNUwwsSI36Zrz5tHdkz5b19wW5qFnd7JoToALV8wc8vqlZ8zGzA7w4NM7js51S4rH42zd3cLiuZVp25uOv6iQv7t+OYHSIn748GYOpJmHqBp1IiKSDzRedIKrSVkBW1FWRKg9TE2G+XRJ1RXFzJsxlfU2xJVnnzTk9T8kVn6W+X2sebWRxWmGK21jG12RflYsHDr0mlQb8GfM1DW1hYcsMJg7fSqnnVzDE6/tpfVIz6DXdu3vAODmKxYPCgSTvF4Pt1y1mLt+9irf/fVG5kwro8zvo8zvw1fopbk9wmVnjm0jkorSKXzphlO554ENfPuB9Vx/YT3nLZuBx+MhFotzuD3MipNrxvSeIiIi402ZuhNczTFlTZrbIhnn06VqMLXsebdzyP6xrZ09vLj5AOe+bzqXnD6LLW8fZn/oyJDr19sQU3xels4ffn5abaWTqUs3hBuPxwmlCeoAPnL+fEqLfWza0TzoT1ekj09fvihj/biaCj+3XbOUYKCYUFuYLW8f5ql1jTz6xz0UeD0sWzD2osu1lSXcceNp1NWU8vPV2/mXX21gf3MXrZ099EfjR+cPioiI5IoydSe4gVp1YbojfXT39Gdc+ZqqwQR55PldbLAhLk3JXq1+5R1iMbjy7JPwFxXy+J/f4YnXGrn5isVHz4nF4mx4K8Sy+dUU+Ybf77Q24CfSG6Uz3DdkRWpnuI9IbzRtUDcrWMZ3P3fOqL6PdJYtqB4UvMXjcXr6osRiUHKcCxpmVJdyx8dX8PLrB/mf53byzftfPfo1VM5ERERyTZm6E1zxlIFadUdXvmaoUZdqWmUJs4JlrH8rdPRY25EeXth8gHOWTicY8FPm93Heshm8su1d2lKGQnfub6ejqzftqtdUyQxWuiHYbBbt9Xg8FE8pPO6ALsnr8XD+qXXc/dmVrFwyjY2JuniaUyciIrmmoM4FaiqKaW6PDNSoG0OAcboJsnNfO+2JgG3N2r30R2Ncec7AVl2XnDGbaDTOM+sHigKvs00UFnhHHMpMrVV3rGSgFxzlcHE+KS+Zwi1XLeGrHzuN6y+sH3UgLSIiMlEU1LlATcCfCOpGrlF3rAYTJA5seCtEe1cvz2/cz8ol0weVCplWWcKKhUGe37ifnt4o8bgz9Lp0XtWIe60GA8V4yJypO5GHLhfNreRDZ81RORMREck5BXUuUFNRzOH2CKG2MP6iwkFbdY2krqaU6VUlrLMhnnh1L33RGFelZOmSLjtrDl2Rfl7ecpDdBztp6eihwQRHfH9fYQGBqUUcShPUNbWFCZRNYUqGOXkiIiIyOgrqXKCmopj+aIxd+zvGPAzo8XhoMEHs3jae3bCPsxZPY0Z16ZDz6mdWUD+zgide3cu67U0UeD2cWj+6Mh61Af+QmnEwULRXRERE3jsFdS6QDOT2Huo8rrldp5taYvE4fX0xrsqwJ+plZ86muT3C0+sbWTQnQJl/dBnBYGX6AsQhFe0VEREZNwrqXKA6UcIkzvHNT5szrYyZNaWsPGU6dTVDs3RJp50cpDbgpz8aH3HVa6ragJ+Orl4ivQPbfvX2RWnt7FGmTkREZJwoqHOBmvKB7NzxZOo8Hg933XQ6N1+5KON5Xq+HK8+ZS/GUAlYsHHk+XVJtsqxJouQKDBRLVtFeERGR8aHiwy5QNKWA8hIfHd19GXdayMRXOLrFCu9fVsfZp0wf9d6pMJA9bGoNM7u2zHnsgpWvIiIi+USZOpdIDsEGs1AvbSwBHaRm6gbm1WWz8LCIiMhkoKDOJZLDrjWj3CIsm0qLfZQWFw5aLBFqDVPkK2BqyejLr4iIiMjwNPzqEqfMq6Ir0kfRlPys+RYM+Am1dh99HmoLEwz4VbRXRERknCioc4nzT63j/FPrct2MYdVW+tl9sOPo86a2cNp6eCIiInJ8NPwqWREM+Dnc3kN/NEYsHqe5PXJC7vkqIiKSr5Spk6yoDfiJxeO0dETwFRbQ1x/TIgkREZFxpKBOsiK5ArapLYwvsXpW5UxERETGj4I6yYpkABdqDR+tiafCwyIiIuNHQZ1kRWBqEYUFXidTV1iAxwPV5ZpTJyIiMl4U1ElWeD0eaiv9NCXq01WXF4+5iLGIiIgMT0GdZE1twE+oLcwUX4Hm04mIiIwzpUoka4IBP01tYZpawwrqRERExpkydZI1tZV+evti9PbFVKNORERknClTJ1mTmp2rrSzJYUtERETcR0GdZE1tSgkTFR4WEREZXwrqJGtqKorxeJzHGn4VEREZX5pTJ1lTWOClamoxkd5+Sop9uW6OiIiIqyiok6yaGSwl0tOf62aIiIi4joI6yaqbr1hMLB7PdTNERERcR0GdZFV56ZRcN0FERMSVtFBCRERExAUU1ImIiIi4gII6ERERERdQUCciIiLiAgrqRERERFxAQZ2IiIiICyioExEREXEBBXUiIiIiLqCgTkRERMQFFNSJiIiIuICCOhEREREXUFAnIiIi4gIK6kRERERcQEGdiIiIiAsoqBMRERFxAQV1IiIiIi6goE5ERETEBRTUiYiIiLiAgjoRERERF1BQJyIiIuICCupEREREXKAw1w3IkgIAr9dz3G/wXq6V7FAf5T/1UX5T/+Q/9VF+G6/+SXmfgrFc54nH4+PSgDx3HvBSrhshIiIiMgbvB14e7cmTJagrAs4ADgLRHLdFREREJJMCYAbwGtAz2osmS1AnIiIi4mpaKCEiIiLiAgrqRERERFxAQZ2IiIiICyioExEREXEBBXUiIiIiLqCgTkRERMQFFNSJiIiIuMBk2SbsuBljbgS+DviAH1pr/z3HTZr0jDHfAK5PPH3cWvtVY8zFwPcBP/Aba+3Xc9ZAOcoY8z2gxlp7kzFmOXAfUA68CNxmre3PaQMnKWPM1cA3gFLgSWvt3+oeyi/GmL8G/jHxdLW19su6h3LPGFMO/Am4ylq7Z7j7Jld9pUxdBsaYmcDdONuMLQc+a4xZkttWTW6JG+hS4DScPmkwxnwMuB+4BlgMnGGMuTx3rRQAY8xFwKdSDj0A3G6tXQh4gFtz0rBJzhgzH/hP4MPAMmBF4n7RPZQnjDElwL3AB4BTgfcnPvt0D+WQMeYsnC27Fiae+xn+vslJXymoy+xi4FlrbYu1tgt4BPirHLdpsjsI/L21ttda2we8iXOD7bDW7k78JvQAcF0uGznZGWOqcH4huifxfC7gt9a+kjhlFeqjXPkITkZhX+IeugHoRvdQPinA+f+5FGeUyAf0oXso124FvgAcSDw/kzT3TS4/7zT8mlkdThCRdBCnEyVHrLXbko+NMSfjDMP+iKH9NCvLTZPBfgJ8DZideJ7uXlIf5UY90GuMeRSYAzwGbEP9kzestZ3GmDuB7TgB9wtAL+qjnLLWfgbAGJM8NNznWs4+75Spy8wLpG6O6wFiOWqLpDDGnAI8BXwFeBv1U94wxnwGaLTWPpNyWPdS/ijEGYW4BTgbOAuYj/onbxhjlgE3A3NxAoQozrQT9VF+Ge5zLWefd8rUZbYPeH/K8+kMpF0lR4wx5wK/Bb5orX3IGPMBYEbKKeqn3LoBmGGM2QRUAWU4H3Dqo/zwLvC0tTYEYIz5P5yhoWjKOeqf3LoMeMZa2wRgjFkFfBndQ/lmH+n7ZLjjE06ZusyeBi4yxgQTE1f/EliT4zZNasaY2cDvgButtQ8lDq91XjL1xpgC4EZgda7aONlZay+x1i611i4H7gIetdZ+GogkAnKAT6A+ypXHgMuMMYHE/XI5znxh3UP5YzNwsTGm1BjjAa7GGYLVPZRf0v7fY619hxz1lYK6DKy1+3HmBT0HbAJ+ba19NbetmvS+DBQD3zfGbEpkg25K/Pkt8AbOPJRHctVAGdbHgR8YY7bjZO/uzXF7JiVr7Vrguzir+N4A3gH+A91DecNa+yTwILAeeB1nocR30D2UV6y1EYa/b3LSV554PD7yWSIiIiKS15SpExEREXEBBXUiIiIiLqCgTkRERMQFFNSJiIiIuICCOhEREREXUFAnIpKBMeZJY0xNrtshIjISBXUiIpldkusGiIiMhurUiYgAxpgy4OfAyTj7NK7H2UrxJmArcEXi+L8Bc3AKwj5krb3HGHMSTsX/NTh7qXqA2621LxljFgE/wyma7QHus9b+OHvfmYhMFsrUiYg4PgJMTWxvdkbi2N2Jvy+01jYC/w3cb61tAM7E2crp+sQ5c4AXEtf/A/AbY4wP+Arw+8Q1VwDnG2P02Ssi406ZOhERwBgzD3gR2AU8BfzOWrvNGBMHgkAY6AC2pFxWBjwM/BewwVpblfJ+jcCHcTb2/iXwPM5+0o8kN2oXERlP+m1RRASw1u4G6oFvA+XA08aYq1NOKcAZPj3HWrs8kZFbCdyTeL3/mLf0AlFr7WM4Q7oPA6cBW4wxsybuOxGRyUpBnYgIYIz5HM6cuiettXcATwArgCjgs9Z2AK8AX0qcHwD+CFyTeIugMeZDideuBvpwArhfAzdYax8CPo+T7VuQtW9MRCYNDb+KiADGmFLgfmAZ0A3sBW4Gfgw0ANcCR3AWSswFpgAPWmu/mVgo8Sbwv8BSnKHa26y1m4wxi4H7cIZqozhDsHdYa/XhKyLjSkGdiMh7lAjqtlpry3LdFhGZvDT8KiIiIuICytSJiIiIuIAydSIiIiIuoKBORERExAUU1ImIiIi4gII6ERERERdQUCciIiLiAgrqRERERFzg/wE6GNVl2a3yTgAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Min RMSE : 39.872054703507914\n", "Steps : 16\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# CHOOSE BEST MODEL\n", "# ----------------------------------\n", "\n", "results = [] \n", "for steps in np.arange(2,100):\n", " # Segment data into 4 segments by age\n", " cuts = pd.cut(wage_df['age'], steps)\n", " X = np.asarray(pd.get_dummies(cuts))\n", " y = np.asarray(wage_df['wage'])\n", " results += [(ols_cv(f, X, y, 10)[0], steps)]\n", " \n", "# Plot the results\n", "df = pd.DataFrame({'RMSE': [r[0] for r in results],\n", " 'steps': [r[1] for r in results]}) \n", "fig, ax = plt.subplots(figsize=(10,10))\n", "sns.lineplot(x='steps', y='RMSE', data=df, color='b', ax=ax)\n", "plt.show();\n", "\n", "# Choose model\n", "print('Min RMSE : {}'.format(min(results)[0]))\n", "print('Steps : {}'.format(min(results)[1]))\n", "\n", "\n", "# PLOT BEST MODEL\n", "# ----------------------------------\n", "steps = min(results)[1]\n", "\n", "# Segment data into 4 segments by age\n", "cuts = pd.cut(wage_df['age'], steps)\n", "X = np.asarray(pd.get_dummies(cuts))\n", "y = np.asarray(wage_df['wage'])\n", "\n", "# Fit logistic regression model\n", "model = sm.OLS(y, X).fit(disp=0)\n", "y_hat = model.predict(X)\n", "\n", "\n", "# Setup axes\n", "fig, ax = plt.subplots(figsize=(10,10))\n", "\n", "# Plot datapoints\n", "sns.scatterplot(x='age', y='wage',\n", " color='tab:gray',\n", " alpha=0.2,\n", " ax=ax,\n", " data=pd.concat([wage_df['age'], wage_df['wage']], axis=1));\n", "\n", "# Plot estimated f(x)\n", "sns.lineplot(x=wage_df['age'], y=y_hat, ax=ax, color='blue')\n", "plt.show();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 7. The Wage data set contains a number of other features not explored in this chapter, such as marital status (maritl), job class (jobclass), and others. Explore the relationships between some of these other predictors and wage, and use non-linear fitting techniques in order to fit flexible models to the data. Create plots of the results obtained, and write a summary of your findings." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.pairplot(data=wage_df);" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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\n", 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\n", 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\n", 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\n", 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\n", 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "categoricals = wage_df.drop(['age', 'logwage', 'wage'], axis=1).columns\n", "for c in categoricals:\n", " sns.catplot(x=c, y='wage', data=wage_df)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Notes:\n", "\n", "- region only has one value so should be ignored\n", "- health and health_ins look quite similar so only one of those might be needed\n", "- age we know from above that 4 degree polynomial models well\n", "- education we know from lab is best modelled as linear\n", "- log wage is just log of wage so we'll drop it\n" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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yearagemaritlraceeducationregionjobclasshealthhealth_inslogwagewage
02006181. Never Married1. White1. < HS Grad2. Middle Atlantic1. Industrial1. <=Good2. No4.31806375.043154
12004241. Never Married1. White4. College Grad2. Middle Atlantic2. Information2. >=Very Good2. No4.25527370.476020
22003452. Married1. White3. Some College2. Middle Atlantic1. Industrial1. <=Good1. Yes4.875061130.982177
32003432. Married3. Asian4. College Grad2. Middle Atlantic2. Information2. >=Very Good1. Yes5.041393154.685293
42005504. Divorced1. White2. HS Grad2. Middle Atlantic2. Information1. <=Good1. Yes4.31806375.043154
\n", "
" ], "text/plain": [ " year age maritl race education region \\\n", "0 2006 18 1. Never Married 1. White 1. < HS Grad 2. Middle Atlantic \n", "1 2004 24 1. Never Married 1. White 4. College Grad 2. Middle Atlantic \n", "2 2003 45 2. Married 1. White 3. Some College 2. Middle Atlantic \n", "3 2003 43 2. Married 3. Asian 4. College Grad 2. Middle Atlantic \n", "4 2005 50 4. Divorced 1. White 2. HS Grad 2. Middle Atlantic \n", "\n", " jobclass health health_ins logwage wage \n", "0 1. Industrial 1. <=Good 2. No 4.318063 75.043154 \n", "1 2. Information 2. >=Very Good 2. No 4.255273 70.476020 \n", "2 1. Industrial 1. <=Good 1. Yes 4.875061 130.982177 \n", "3 2. Information 2. >=Very Good 1. Yes 5.041393 154.685293 \n", "4 2. Information 1. <=Good 1. Yes 4.318063 75.043154 " ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "wage_df.head()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### So how to find the best model?\n", "\n", "We know that:\n", "\n", "- age is nonlinear \n", "- education is fairly linear\n", "- year is linear\n", "- logwage, and region can be ignored\n", "- the rest are linear dummy variables\n", "\n", "\n", "Approaches I can think of:\n", "\n", "- come up with some rang of models with different features and degrees of freedom then compare\n", "- find the best model for each predictor feature indivivudally (slow) then combine with a GAM\n", "- create a big GAM with basis functions appropriate to what is known so far, then perform backward stepwise selection\n", "\n", "Let's try the latter.\n" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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yearagemaritlraceeducationregionjobclasshealthhealth_inslogwagewage
02006181. Never Married1. White1.02. Middle Atlantic1. Industrial1. <=Good2. No4.31806375.043154
12004241. Never Married1. White4.02. Middle Atlantic2. Information2. >=Very Good2. No4.25527370.476020
22003452. Married1. White3.02. Middle Atlantic1. Industrial1. <=Good1. Yes4.875061130.982177
32003432. Married3. Asian4.02. Middle Atlantic2. Information2. >=Very Good1. Yes5.041393154.685293
42005504. Divorced1. White2.02. Middle Atlantic2. Information1. <=Good1. Yes4.31806375.043154
\n", "
" ], "text/plain": [ " year age maritl race education region \\\n", "0 2006 18 1. Never Married 1. White 1.0 2. Middle Atlantic \n", "1 2004 24 1. Never Married 1. White 4.0 2. Middle Atlantic \n", "2 2003 45 2. Married 1. White 3.0 2. Middle Atlantic \n", "3 2003 43 2. Married 3. Asian 4.0 2. Middle Atlantic \n", "4 2005 50 4. Divorced 1. White 2.0 2. Middle Atlantic \n", "\n", " jobclass health health_ins logwage wage \n", "0 1. Industrial 1. <=Good 2. No 4.318063 75.043154 \n", "1 2. Information 2. >=Very Good 2. No 4.255273 70.476020 \n", "2 1. Industrial 1. <=Good 1. Yes 4.875061 130.982177 \n", "3 2. Information 2. >=Very Good 1. Yes 5.041393 154.685293 \n", "4 2. Information 1. <=Good 1. Yes 4.318063 75.043154 " ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Treat education as ordinal\n", "wage_df['education'] = wage_df['education'].map({'1. < HS Grad': 1.0, \n", " '2. HS Grad': 2.0, \n", " '3. Some College': 3.0,\n", " '4. College Grad': 4.0,\n", " '5. Advanced Degree': 5.0\n", " })\n", "wage_df.head()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Approach 1 – Naive backward stepwise selection" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Min RMSE : 33.954748128650515\n", "Best predictor count: 16\n" ] }, { "data": { "image/png": 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Features selected

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predictorselected
0InterceptTrue
1C(maritl)[T.2. Married]True
2C(maritl)[T.3. Widowed]True
3C(maritl)[T.4. Divorced]False
4C(maritl)[T.5. Separated]True
5C(race)[T.2. Black]True
6C(race)[T.3. Asian]True
7C(race)[T.4. Other]True
8C(jobclass)[T.2. Information]True
9C(health)[T.2. >=Very Good]True
10C(health_ins)[T.2. No]True
11yearTrue
12educationTrue
13cr(age, df=4)[0]True
14cr(age, df=4)[1]True
15cr(age, df=4)[2]True
16cr(age, df=4)[3]True
\n", "
" ], "text/plain": [ " predictor selected\n", "0 Intercept True\n", "1 C(maritl)[T.2. Married] True\n", "2 C(maritl)[T.3. Widowed] True\n", "3 C(maritl)[T.4. Divorced] False\n", "4 C(maritl)[T.5. Separated] True\n", "5 C(race)[T.2. Black] True\n", "6 C(race)[T.3. Asian] True\n", "7 C(race)[T.4. Other] True\n", "8 C(jobclass)[T.2. Information] True\n", "9 C(health)[T.2. >=Very Good] True\n", "10 C(health_ins)[T.2. No] True\n", "11 year True\n", "12 education True\n", "13 cr(age, df=4)[0] True\n", "14 cr(age, df=4)[1] True\n", "15 cr(age, df=4)[2] True\n", "16 cr(age, df=4)[3] True" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Create features\n", "f = 'year + education + cr(age, df=4) + C(maritl) + C(race) + C(jobclass) + C(health) + C(health_ins)'\n", "X = pt.dmatrix(f , wage_df)\n", "y = np.asarray(wage_df['wage'])\n", "#display(X)\n", "\n", "# Backward stepwise feature selection\n", "estimator = LinearRegression(fit_intercept=False)\n", "selector = RFECV(estimator, step=1, cv=10, scoring='neg_mean_squared_error')\n", "selector = selector.fit(X, y)\n", "\n", "# Best model stats\n", "RMSEs_backward = np.sqrt(np.abs(selector.grid_scores_))\n", "predictor_count = np.arange(1, 1+len(RMSEs_backward))\n", "print('Min RMSE : {}'.format(min(RMSEs_backward)))\n", "print('Best predictor count: {}'.format(np.sum(selector.support_)))\n", "\n", "# Plot RMSE for each step\n", "fig, ax = plt.subplots(figsize=(14, 8))\n", "sns.lineplot(x='predictor count', y='RMSE', ax=ax, \n", " data=pd.DataFrame({'RMSE': RMSEs_backward, 'predictor count': predictor_count}))\n", "plt.show();\n", "\n", "# Show selected features\n", "display(HTML('

Features selected

'))\n", "display(pd.DataFrame({'predictor': X.design_info.column_names,\n", " 'selected': selector.ranking_ == 1}))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Backward stepwise selects a model with all features except 'Divorced', reporting an RMSE of 33.97. A marked improvement on the best RMSE achieved for univariate regression of age with 4 degree polynomial: 39.8.\n", "\n", "**Revision note:** Backward stepwise doesn't seem to be appropriately selecting the degrees of freedom for age. For example, when df=50 all degrees of freedom are selected with an RMSE of 34.05 for that model. The RMSE for a model with around 17 predictors is ~34.05, worse than when we observe above, suggesting that backward stepwise is unable to find the optimal degrees of freedom for age with this approach. \n", "\n", "I think the problem is that when we use patsy `cr()` command we specify the degrees of freedom at this point and the appropriate features are created. In the approach above I assumed that if we call `cr(ag, df=10)` then only use the first 5 resultant age featutes then that would be equivalent to cubic regression with df=5 – this assumption is fales, it would be true for polynomial features but not for spline features which presumable represent each knot.\n", "\n", "**Note:** sklearn's RFECV functions used here for backward stepwise doesn't allow us to set the random seed used for k-fold splits, which means that there will be variance when trying to reproduce above results. I've observed this effect by running the above mult times. This is bad science, we really need a method that is reproducible.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Approach 2 – Selection of optimal DOF for age by cross valiation, then backward stepwise treating age spline features as single feature\n", "\n", "#### Step 1\n", "\n", "Choose optimal degrees of freedom for age by holding all other predictors still whilst varying dof, then testing with cross validations." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "def ols_cv(formula, X, y, k):\n", " \"\"\"Perform k-fold cross validation to return mean MSE score\n", " Expects formula as Patsy formula\"\"\"\n", " # Split dataset into k-folds\n", " # Note: np.array_split doesn't raise excpetion is folds are unequal in size\n", " X_folds = np.array(np.array_split(X, k))\n", " y_folds = np.array(np.array_split(y, k))\n", " \n", " RMSEs = []\n", " for f in np.arange(len(X_folds)):\n", " # Create training and test sets\n", " X_test = X_folds[f]\n", " y_test = y_folds[f]\n", " X_train = np.delete(X_folds, f, 0).reshape(-1, X_folds.shape[-1])\n", " y_train = np.delete(y_folds, f, 0).reshape(-1, 1)\n", " \n", " # Fit model\n", " model = sm.OLS(y_train, X_train).fit()\n", " # Measure MSE\n", " y_hat = model.predict(X_test)\n", " RMSEs += [np.sqrt(metrics.mean_squared_error(y_test, y_hat))]\n", " return (np.mean(RMSEs), formula)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Min RMSE : 33.83243960258707\n", "Degree : 4\n" ] } ], "source": [ "# Perform CV for increasing polynomial order\n", "results = [] \n", "for d in np.arange(3,10):\n", " f = 'year + education + cr(age, df={}) + C(maritl) + C(race) + C(jobclass) + C(health) + C(health_ins)'.format(d)\n", " X = pt.dmatrix(f, wage_df)\n", " y = np.asarray(wage_df['wage'])\n", " results += [(ols_cv(f, X, y, 10)[0], d)]\n", " \n", "# Plot the results\n", "df = pd.DataFrame({'RMSE': [r[0] for r in results],\n", " 'degree': [r[1] for r in results]}) \n", "fig, ax = plt.subplots(figsize=(10,10))\n", "sns.lineplot(x='degree', y='RMSE', data=df, color='b', ax=ax)\n", "plt.show();\n", "\n", "# Choose model\n", "print('Min RMSE : {}'.format(min(results)[0]))\n", "print('Degree : {}'.format(min(results)[1]))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Step 2\n", "\n", "Estimate best subset of features in each subset of p predictors using backward stepwise selection." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "def backward_stepwise_patsy(predictors, response, data, scorer='ssr', results=[]):\n", " \"\"\"Perform backward stepwise variable selection as described in\n", " An Introductions to Statistical Learning (p.209)\n", " Returns pandas dataframe object with results for each step\"\"\"\n", " # List predictors that havent's been used so far\n", " p_all = predictors\n", "\n", " # Check if we're starting out here\n", " if not results:\n", " # Fit model with all features\n", " f = '{} ~ {}'.format(response, '+'.join(p_all))\n", " model = smf.ols(formula=f, data=data).fit()\n", " # Begin backward stepwise recursion\n", " if scorer == 'ssr':\n", " return backward_stepwise_patsy(predictors, response, data, scorer, [(model.ssr, p_all)])\n", " if scorer == 'rsquared_adj':\n", " return backward_stepwise_patsy(predictors, response, data, scorer, [(model.rsquared_adj, p_all)])\n", " if scorer == 'bic':\n", " return backward_stepwise_patsy(predictors, response, data, scorer, [(model.bic, p_all)])\n", " if scorer == 'aic':\n", " return backward_stepwise_patsy(predictors, response, data, scorer, [(model.aic, p_all)])\n", " else:\n", " p_used = results[-1][1]\n", " \n", " # Job done, exit recursion\n", " if len(p_used) == 1:\n", " scores = [r[0] for r in results]\n", " preds = [r[1] for r in results]\n", " return pd.DataFrame({scorer: scores, 'predictors': preds}) \n", " \n", " # Get rss score for each possible removed predictor\n", " r = []\n", " for p in p_used:\n", " p_test = [i for i in p_used if i != p]\n", " f = '{} ~ {}'.format(response, '+'.join(p_test))\n", " # Fit model\n", " model = smf.ols(formula=f, data=data).fit()\n", " r += [(model, p_test)]\n", " \n", " # Choose removal of predictor which yields best score\n", " if scorer == 'ssr':\n", " best_model = sorted(r, key=lambda tup: tup[0].ssr)[0]\n", " best_score = (best_model[0].ssr, best_model[1])\n", " elif scorer == 'rsquared_adj':\n", " best_model = sorted(r, key=lambda tup: tup[0].rsquared_adj)[-1]\n", " best_score = (best_model[0].rsquared_adj, best_model[1]) \n", " elif scorer == 'bic':\n", " best_model = sorted(r, key=lambda tup: tup[0].bic)[0]\n", " best_score = (best_model[0].bic, best_model[1]) \n", " elif scorer == 'aic':\n", " best_model = sorted(r, key=lambda tup: tup[0].aic)[0]\n", " best_score = (best_model[0].aic, best_model[1]) \n", "\n", " new_results = results + [best_score]\n", " # Recursive call to self\n", " return backward_stepwise_patsy(predictors, response, data, scorer, new_results)\n", "\n", "\n", "def subset_analysis(df, scorer):\n", " \"\"\"Renders results from forward_stepwise() and backward_stepwise()\"\"\"\n", " df['predictors_str'] = df['predictors'].astype(str)\n", " \n", " fig, ax = plt.subplots(figsize=(10,10))\n", " sns.lineplot(x='predictors_str', y=scorer, data=df, sort=False, ax=ax)\n", " plt.xticks(rotation=90)\n", " plt.show();\n", " \n", " if scorer == 'rsquared_adj':\n", " display(df[df[scorer] == df[scorer].max()].drop('predictors_str', axis=1))\n", " return df\n", " else:\n", " display(df[df[scorer] == df[scorer].min()].drop('predictors_str', axis=1))\n", " return df\n", "\n", " \n", "def ols_cv_patsy(formula, data, k):\n", " \"\"\"Perform k-fold cross validation to return mean MSE score\n", " Expects formula as Patsy formula\"\"\"\n", " # Split dataset into k-folds\n", " # Note: np.array_split doesn't raise excpetion is folds are unequal in size\n", " y, X = pt.dmatrices(formula, wage_df)\n", " X_folds = np.array(np.array_split(X, k))\n", " y_folds = np.array(np.array_split(y, k))\n", " \n", " RMSEs = []\n", " for f in np.arange(len(X_folds)):\n", " # Create training and test sets\n", " X_test = X_folds[f]\n", " y_test = y_folds[f]\n", " X_train = np.delete(X_folds, f, 0).reshape(-1, X_folds.shape[-1])\n", " y_train = np.delete(y_folds, f, 0).reshape(-1, 1)\n", " \n", " # Fit model\n", " model = sm.OLS(y_train, X_train).fit()\n", " # Measure MSE\n", " y_hat = model.predict(X_test)\n", " RMSEs += [np.sqrt(metrics.mean_squared_error(y_test, y_hat))]\n", " return (np.mean(RMSEs), formula)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": 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rsquared_adjpredictors
00.339702[year, education, cr(age, df=4), C(maritl), C(...
\n", "
" ], "text/plain": [ " rsquared_adj predictors\n", "0 0.339702 [year, education, cr(age, df=4), C(maritl), C(..." ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "response = 'wage'\n", "predictors = ['year', \n", " 'education', \n", " 'cr(age, df=4)', \n", " 'C(maritl)',\n", " 'C(race)',\n", " 'C(jobclass)',\n", " 'C(health)',\n", " 'C(health_ins)']\n", "\n", "\n", "results = subset_analysis(backward_stepwise_patsy(predictors, response, wage_df, scorer='rsquared_adj'), 'rsquared_adj')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Step 3\n", "\n", "Compare best models in each subset with 10-fold cross validation." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "predictor_subsets = list(results['predictors'])\n", "reponse = 'wage'\n", "r = []\n", "for p in predictor_subsets:\n", " f = '{} ~ {}'.format(response, '+'.join(p))\n", " # Fit model\n", " r += [ols_cv_patsy(f, wage_df, 10)]\n", " " ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Min RMSE: 33.83243960258707\n", "Model : wage ~ year+education+cr(age, df=4)+C(maritl)+C(race)+C(jobclass)+C(health)+C(health_ins)\n" ] } ], "source": [ "fig, ax = plt.subplots(figsize=(10,10))\n", "sns.lineplot(x='formula', y='RMSEs', ax=ax, sort=False,\n", " data=pd.DataFrame({'RMSEs': [i[0] for i in r], 'formula': [i[1] for i in r]}))\n", "plt.xticks(rotation=90)\n", "plt.show();\n", "\n", "print('Min RMSE: {}'.format(min(r)[0]))\n", "print('Model : {}'.format(min(r)[1]))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We a arrive at a model that achives an RMSE CV score of 33.83, marginally lower than that achieved in approach 1 (33.97).\n", "\n", "The selected model uses all features with 4 degrees of freedom for a cubic regression spline on age." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 11. In Section 7.7, it was mentioned that GAMs are generally fit using a backfitting approach. The idea behind backfitting is actually quite simple. We will now explore backfitting in the context of multiple linear regression.\n", "\n", "## Suppose that we would like to perform multiple linear regression, but we do not have software to do so. Instead, we only have software to perform simple linear regression. Therefore, we take the following iterative approach: we repeatedly hold all but one coefficient esti- mate fixed at its current value, and update only that coefficient estimate using a simple linear regression. The process is continued un- til convergence—that is, until the coefficient estimates stop changing.\n", "\n", "## We now try this out on a toy example.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "At this point I start playing around with 3d visualisation, I don't know why...\n", "\n", "Not relevant to this question, but leaving here because it is interesting." ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "ee22175b063b41329d414653069eca57", "version_major": 2, "version_minor": 0 }, "text/plain": [ "interactive(children=(FloatSlider(value=230.0, description='yaw', max=360.0, min=1.0, step=10.0), FloatSlider(…" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x1 = np.arange(-5, 5, 1)\n", "x2 = np.arange(-5, 5, 1)\n", "xx1, xx2 = np.meshgrid(x1, x2, sparse=False)\n", "X = np.asarray([xx1.flatten(), xx2.flatten()]).T\n", "y = (2*xx1**3 + 5*xx2**2).flatten() + np.random.normal(0, 10, 100)\n", "\n", "def plot_3d_b(yaw, pitch):\n", " fig = plt.figure(figsize=(10, 10))\n", " ax = fig.gca(projection='3d')\n", " ax.plot_trisurf(X[:,0], X[:,1], y, linewidth=0.2, antialiased=True)\n", "\n", " # Rotate it\n", " ax.view_init(pitch, yaw)\n", " plt.show() \n", " \n", "interact(plot_3d_b, \n", " yaw=widgets.FloatSlider(min=1, max=360, step=10, value=230),\n", " pitch=widgets.FloatSlider(min=1, max=360, step=10, value=20));" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Contour plot\n", "fig = plt.figure(figsize=(5, 5))\n", "plt.contourf(x1, x2, y.reshape(10,10));" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### (a) Generate a response Y and two predictors X1 and X2, with n = 100." ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [], "source": [ "np.random.seed(1)\n", "x1 = np.random.normal(0, 1, 100)\n", "x2 = np.random.normal(0, 1, 100)\n", "eps = 0.1 * np.random.normal(0, 1, 100)\n", "\n", "X = np.asarray([np.ones(100), x1, x2]).T\n", "y = 0.2 + 2*x1 + 5*x2 + eps\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### (c) Keeping $β_1$ fixed, fit the model \n", "\n", "$$y − β_1 X_1 = β_0 + β_2 X_2 + ε$$\n", "\n", "Ordinary least squares regression is defined by the matrix operation:\n", "\n", "$$\\hat{β} = (X^T X)^{-1}X^T y$$" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[-0.65602756 3.47192688]\n" ] } ], "source": [ "beta1 = 20\n", "ya = y - (beta1*x1)\n", "Xa = np.asarray([np.ones(100), x2]).T\n", "\n", "# Fit using Ordinary Least Squares regression\n", "beta_hat = (np.linalg.inv((Xa.T @ Xa)) @ Xa.T) @ ya\n", "print(beta_hat)\n", "\n", "beta2 = beta_hat[1]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### (d) Keeping $β_2$ fixed, fit the model \n", "\n", "$y − β_2 X_2 = β_0 + β_1 X_1 + ε$" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[0.42587836 2.14171377]\n" ] } ], "source": [ "ya = y - (beta2*x2)\n", "Xa = np.asarray([np.ones(100), x1]).T\n", "\n", "beta_hat = (np.linalg.inv((Xa.T @ Xa)) @ Xa.T) @ ya\n", "print(beta_hat)\n", "\n", "#beta1 = beta_hat[1]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### (e) Write a for loop to repeat (c) and (d) 1,000 times. Report the estimates of βˆ0, βˆ1, and βˆ2 at each iteration of the for loop. Create a plot in which each of these values is displayed, with βˆ0, βˆ1, and βˆ2 each shown in a different color." ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [], "source": [ "beta1 = 100\n", "\n", "results= []\n", "for i in range(20):\n", " # Keeping beta1 fixed, fit the model to estimate beta2\n", " ya = y - (beta1*x1)\n", " Xa = np.asarray([np.ones(100), x2]).T\n", " \n", " beta_hat = (np.linalg.inv((Xa.T @ Xa)) @ Xa.T) @ ya \n", " beta2 = beta_hat[1]\n", " \n", " # Keeping beta2 fixed, fit the model beta1\n", " ya = y - (beta2*x2)\n", " Xa = np.asarray([np.ones(100), x1]).T\n", " \n", " beta_hat = (np.linalg.inv((Xa.T @ Xa)) @ Xa.T) @ ya\n", " beta1 = beta_hat[1]\n", " beta0 = beta_hat[0]\n", " results += [[beta0, beta1, beta2]]" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(10, 10))\n", "sns.lineplot(data=pd.DataFrame(np.asarray(results), columns=['beta0','beta1','beta2']))\n", "plt.xlabel('iterations');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### (f) Compare your answer in (e) to the results of simply performing multiple linear regression to predict Y using X1 and X2. Use the abline() function to overlay those multiple linear regression coefficient estimates on the plot obtained in (e)." ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([0.19802058, 1.99381028, 5.02183714])" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# A multivariate regression for ref\n", "beta_hat = (np.linalg.inv((X.T @ X)) @ X.T) @ y\n", "beta_hat" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "ename": "AttributeError", "evalue": "'list' object has no attribute 'shape'", "output_type": "error", "traceback": [ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[0;31mAttributeError\u001b[0m Traceback (most recent call last)", "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[0;31m# Plot comparison of results from backfitting and multivariate linear regression\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 2\u001b[0m \u001b[0mbackfit\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0masarray\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mresults\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 3\u001b[0;31m \u001b[0mmulti_ols\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mones\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mr\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mshape\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;36m0\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mr\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mshape\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m*\u001b[0m \u001b[0mbeta_hat\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 4\u001b[0m \u001b[0mdata\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mconcatenate\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mbackfit\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mmulti_ols\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0maxis\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 5\u001b[0m \u001b[0mcols\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34m[\u001b[0m\u001b[0;34m'beta0_backfit'\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m'beta1_backfit'\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m'beta2_backfit'\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m'beta0_multi'\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m'beta1_multi'\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m'beta2_multi'\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", "\u001b[0;31mAttributeError\u001b[0m: 'list' object has no attribute 'shape'" ] } ], "source": [ "# Plot comparison of results from backfitting and multivariate linear regression\n", "backfit = np.asarray(results)\n", "multi_ols = np.ones([r.shape[0], r.shape[1]]) * beta_hat\n", "data = np.concatenate((backfit, multi_ols), axis=1)\n", "cols = ['beta0_backfit','beta1_backfit','beta2_backfit', 'beta0_multi','beta1_multi','beta2_multi']\n", "plot_df = pd.DataFrame(data, columns=cols)\n", "\n", "fig = plt.figure(figsize=(10, 10))\n", "sns.lineplot(data=plot_df)\n", "plt.xlabel('iterations');\n", "#plt.axhline(y=beta_hat[0], linestyle='--')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### (g) On this data set, how many backfitting iterations were required in order to obtain a “good” approximation to the multiple re- gression coefficient estimates?\n", "\n", "Two" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 12. This problem is a continuation of the previous exercise. In a toy example with p = 100, show that one can approximate the multiple linear regression coefficient estimates by repeatedly performing simple linear regression in a backfitting procedure. How many backfitting iterations are required in order to obtain a “good” approximation to the multiple regression coefficient estimates? Create a plot to justify your answer." ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [], "source": [ "def gen_data(n, p):\n", " \"\"\"Generate simulated data from normal distribution where:\n", " - n is number of observations\n", " - p is number of predictors\n", " \n", " Returns\n", " X, design matrix of predictors with bias variable\n", " y, response variable from linear model\n", " beta_true, the true coefficients of the linear model used to derive y from X\n", " beta_rand, a random vector of shape beta_true, useful as starting point for iterative estimatation\n", " \"\"\"\n", " np.random.seed(1)\n", " # Generate 100 random observations for 100 predictors\n", " predictors = np.random.normal(0, 1, (n, p))\n", " # Add bias variable\n", " X = np.insert(predictors, 0, 1, axis=1)\n", " # Generate random beta coefficients\n", " beta_true = np.random.randint(0, 10, size=X.shape[1]).astype(np.float64)\n", " # Derive true y\n", " eps = 0.1* np.random.normal(0, 1, n)\n", " y = beta_true @ X.T + eps\n", " \n", " # Initalize beta at some random values\n", " beta_rand = list(np.random.randint(0, 10, size=X.shape[1]).astype(np.float64))\n", " \n", " return X, y, beta_true, beta_rand\n", "\n", "\n", "def backfit(X, y, iterations:int, beta_ests:list):\n", " \"\"\"Perform backfitting algorithm to recursively estimate\n", " beta parameters one at a time\"\"\"\n", " \n", " # Exit recursion\n", " if len(beta_ests) == iterations:\n", " return np.asarray(beta_ests)\n", " \n", " # Start recursion or iterate \n", " beta_prev = copy.deepcopy(beta_ests[-1])\n", " beta_new = np.zeros(len(beta_prev))\n", " \n", " # Perform one backfitting iteration to generate new set of estimates for all beta\n", " for j in np.arange(1, X.shape[1]):\n", " # - Exclude predictors for which params are not being estimated in this pass (except intercept)\n", " # - Isolate predictors for which param is to be estimated in this pass\n", " # - Perform Ordinary Least Squares regression\n", " y_b = y - (np.delete(beta_prev[1:], j-1) @ np.delete(X[:, 1:], j-1, axis=1).T)\n", " X_b = X[:, [0,j]]\n", " beta_est = (np.linalg.inv((X_b.T @ X_b)) @ X_b.T) @ y_b\n", " \n", " # Save estimates, but include intercept estimate on first pass only\n", " if j == 1:\n", " beta_new[0] = beta_est[0]\n", " beta_new[1] = beta_est[1]\n", " else:\n", " beta_new[j] = beta_est[1]\n", " \n", " # Recur\n", " return backfit(X, y, iterations, beta_ests+[beta_new])\n", "\n", "\n", "def backfit_plot(n, p, iterations):\n", " \"\"\"Plot coefficient estimates for each iteration of backfitting for simulated data:\n", " - n is number of observations\n", " - p is number of predictors\n", " - iterations is number of backfitting iterations\n", " \"\"\"\n", " # Gen simulated data\n", " X, y, beta_true, beta_rand = gen_data(n, p)\n", " \n", " beta_ests = backfit(X, y, iterations, [beta_rand])\n", " cols = ['x{}'.format(i) for i in range(p+1)]\n", " \n", " fig = plt.figure(figsize=(10, 10))\n", " for i in range(p+1):\n", " # Plot estimated coefficient\n", " sns.lineplot(data=beta_ests[:, i]);\n", " # Plot true coefficient\n", " plt.axhline(y=beta_true[i], linestyle='--')\n", " plt.xlabel('iterations')\n", " plt.ylabel('coefficients (β)')\n", " plt.show();\n", " #return beta_ests" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "backfit_plot(n=100, p=10, iterations=10);" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "backfit_plot(n=100, p=20, iterations=100);" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "backfit_plot(n=110, p=20, iterations=100);" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "backfit_plot(n=120, p=20, iterations=100);" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "backfit_plot(n=100, p=100, iterations=100);" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "backfit_plot(n=650, p=100, iterations=100);" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "data": { "image/png": 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NrizPhSk9A46kDTMzK8vzUUql3xG3PLOzuRXlhVxCuc/TasD8/Mr9C4WEco+nWYdabWV5qRhTrEBjHuqNleXlckyhBLU5Q7O58v/RKpWYfBFqM4Zme2V5b2+bKG+Yn7a04uX3BvT1xYQ5mJuytJOV5QODMTaA2SlLvEr50Ej2P0Qzk3bVe29o4d6asKS695bQvad7b81y3XvL7r2lx3/nzYP8wgfu4Z//9oO04pUzK7zp9p38zD+4g5/9zS+SpCvz0/vefJD3veUwP/PrX2C4v8hHf+UdAIeA4ys2XoNazLoUguzD2EiXXszAJHjniezK7kTjoeUNLYqd3yyEMgt4XOj4q0e+ibdNDL4Tyhb3ZpJhJs9YjKlzKdQZPAHgmQ53MOeHSR0sv4HAMDVTYIo9qxxNdsPULqbUMKx+qT3TkwEWh1vy2mbxvcYvdh/Xcpbx8fyK97z0k+n6w7C87n6xfGHbpe/v8d6s+odhgfOWifG1e+PTjcpdwMT4yj/KC5J0/fI4Wb+8vUF5Kw5orVPebIc0x9csptkMaTbXLq83IurrPFtSq0XUamuXz89HzM+vXb7aH9Vuq/1R7rbaH/Vu6117WP/e8FdarntP996adO/dCPeeyfqBWPnfpq133bWYTUzM49zm1PmT//5/p9m7i13FIm+ceoCHd72Hv3h2iHujv8MO7GPKDPNicoB/6/8jxR/5MOGe22g/+wVOP/jnfGT2x/n+3NO8v+cJXjjyPv7kUUOcKzHw5gMYa4jn2sw8dprQpPS86TBBPqB/+iKHzzzP6fELnHP7cKZEkUl67DRvuucObv2+15Hmiwzlc1g8Z46P8vQX/5ILM3MM9vSw+8hd7L3lbgZGdhMGhiDIbvbG/DQzE+eYO3+CXLmfQk8/+XIvhWIvQa6AMQaXtknbTeJWk7jdAAxBGBGEETYIMTbEWAsuxXuHS1OcS/DeY22AMQZjbKevMgtSBvDeZV2a3ne6OU1nEwveX+rb9FmA7f5VZq0PiWdwqMLkxDp/zbu2/e4+bJeznaxlcLDC5OQ6/xWVLaNrsz3pumw9G0SUevpX/H5kpIfx8bmr8x7WMDRUAbWYvXwL46XanTje7LRiBiR4l5APE5rNFJ/n0hiz2hSn037AYHqL/MHt/5LZsMLNhf+Pp5qvYvDr3+JNd+zlzx+bI/Ced+04wc6BWxjurXDoNTdj7Rs59eSX+OoDnwagFFre8uO/SP/O/ctrx02Hb+Omw//zhsdR6hmg1DPA7oO3rb1RWIR8EXou5wxtrb7BHtrp1fnAyNXTN9RD2xU33lCuOV2b7UnXRdajYNbFBp1gFmddms2sm5+AlNQlRCYhbabUyhWKcTb7v69PM8YIAM8dfB3lJGX/xefYmZzjDBc4UR9g/MkGsTe8IfoK7/7vfpUoV1jyvjfdfS+3P/8o0xPnee1P/E8U+ndeoyMWERGR7UTBrIu1WTBLkyyRtdJsoKU1HucTAlJ86jkXDTPcaTFztSnOp/0YHLZS5N29CfvPznPizBS37n2GR5K3krQSXh0+wm03H1gRyha88v2/BCx9ylFERES+t2gesy42zMZouTQb5N9MwBqPN9lYK2M8Bs/ZYOTSPGb1acbTXkq2TimucevsDDOfv599r3kzfXaGH8o/wo+WHqbPTnPkDe9a872zMVsKZSIiIt/LFMy6hFEnmHXm8GqlnsA6sDnCzqmKbMo5M4TvdGW62hRTSZlCFHOoMcGFj/0JxVtuZfdP/PcMDgzTb8ZI3CR9pRJDu5aPGxMRERG5RF2ZXWwUQbszmz/QTAzWpGAC8oS0yILZhO9h5uvfxj1+lrlnW9SHSvQXGhx6+CGCcpndP/fzmDBk9/5bePrJiwDcc9trtvTYREREZPtTMOsS5DvBzIOPAtpxQGAc3gTkbDavTGRTpl2F6a9/h6BS5kR+CIBC3nNo326Gfvi9hH19AOx5xWt5+slHsHgOvu7dW3ZcIiIicn1QV2aXIFqY1M/jooB2EhCYFAiIgmwi1WLOM5/m8MDen/spjt90AIA94TS7/+k/J7/vpsXX699zM6XAcNPICPliBREREZH1qMWsS5DLY1wDb8BFIa00IKANJsAGRSChHKVMtiHu7cHbmOPsxJJyG7MrBu8bY3jnB/83gpzmqxEREZGNqcWsS1goYNNscSIfBbSTMFuOCUtqs5lYS7ZN2kqp79nFqbNjzKUFKmaOQ0F+1dfMVfoJcquXiYiIiHRTMOsS5gsELsUbg8sFtNKAkARMQNMPgEspmCyY1UaGGb0wTbMdUTazlPpv2vgNRERERNahYNYlzBexqQNjSMOQOLWEJHgCmnEPxidEPsbHjvN9Qxz3vcRpSJ+dJxo8sNXVFxERkeucxph1CYtFrHMYY4jDCOcNATHeW5IUbOAJTLYqwKlwkEY2Dy0jdgozsGcLay4iIiI3ArWYdcnly9g0BWNo2GxcWEiC85Y4doTGY2yWxqZ8iTlfBmCnrRNUNMBfREREroyCWZewWCJwDoyl2QlmOWeo1V5FqxUTWQMmWxWg4fM0mhAQMxRYbCla76VFRERENqSuzC65hTFm1tAy2akJnQUsaeLJBQaDBTxp25HOtaiYOUpBH0bBTERERK6QWsy6RGEO41K8sbTTTjAjXSzPY8BYIpviminpfJuKmSUfjmDywVZVW0RERG4QCmZdIhNiXfZUZjvNglbQWdAcIB97AMpBk3iuTZLarMWsvH/F5LIiIiIil0vBrEtoI4x3eGtpJ6sEs1oMQDlokMy0AKiYWUp9u659ZUVEROSGo2DWJbQBONfpysyCWXdDWDQzD0DJtvBkBf12jnxP+ZrXVURERG48CmZdQhtivANracbZqbE+677Ee+zERQCKtg1AjjZ9xuuJTBEREbkqFMy6hDbIghnQbGeD/xdOUOBiUpeV5U0WzHrNDMWgrCcyRURE5KpQMOtijYVOMGu0o05nZfbvwMXM91bAe8JOi1nZzFEM+tViJiIiIleFglmX7mDWSkJCC5CNNSuaBrMD/YAn7Mz+XzJzFOwAtqhgJiIiIldOE8x2scYCna7MOMiCmcuyq/OG2b5eAhzGOu4rzmCSUxSC/erKFBERkatCLWbLdVrM4tQSWPCdU9S2edIwpODbYENuCo4TmoSiragrU0RERK4KBbPlOsEscQGB8SycosTmACgVi2ACzrXHACgW+jChTqOIiIhcOSWKZTzZ9BjOGULrF1vMUhMSuohiqRdvQ6CJx1Co9G1hbUVERORGomC2Qjaw33uwxrMw+B8sYTBAPpe1mHkg9gVsTsP0RERE5OpQMFvGL0woiyewHu8vnSLv+ijmy9lyACag5oucmWkuls9PPEHSnr7GNRYREZEbhYLZMt5cWhvTWkf3KXJxkTQsd7YLaPoS35yYw9VjmnPHmTz5GabO/P21rrKIiIjcIBTMVsiCmTWOwDj8YlcmJG043+g8gWlDSkGZJxptms9eYObclwBoTD+3pNUsTlxXK5yIiIjI2hTMllkY/G+Mx5qUbOb/7HdxO+XYZJxtZwN2Rb1Mpo4XnhqjNXOGnpE3ADA3/hgArTjlVz/6KP/570av+XGIiIjI9UfBbDkLxmWtZdY4IMDYBIA4Tnl+rA5Af18/d5UOEVrDE7U20dQtfPO5hKn2YeYnHselbT7/jVNcmGrw5SfPcvL83BYelIiIiFwPFMyWcdZgnMMaT2DTbLqMzhJMtdRRa2Xb9Q2U6Q97uP2mAk+0Goxf6Ofs2dM8/UKD+VrC+VNP8tmHj3NLLqRoDZ9+8KUtPCoRERG5HiiYdfHe4y2Y1BNYhzVZMDOdYNbEY0yANdD2KRi4bedpZhIYjc9TyZeJcnm+c3KE+/+2RjN1vP+O3dxXLvLtY5OMnpxa872d9ySpW7NcREREbnxbEsyq1epPVqvVZzr//NZW1GE1LqnjrcE4T2A8lpisKzMLZjFweHcvUWAZvdjDC/kpDveMMlBo0bB1DrOb1+69h/mWZ8yf57UHitzyzlt42xv202sNf/G553HOMXv+K8ye/wq+s8pAO075zT/9Fh/+g69yenx+606AiIiIbKlrHsyq1WoJ+H3gXuBu4C3VavXt17oeq0njObwBnMcahyXFe4sxHgKDA6p7e4GQRhzyxydjZtoD3L6jQeosuxt9DLzoSNIR9lRmuGffi9SaMfYVw7x7zwBHJ2o8/NADTJ/N/hl/6b/Qbtf4fz75JM+fnqHdiPk///M3eL6rZW35E52Ts02+9sw56s34mp4bERER2XxbMW19QBYIy0ANiIDGFtRjhfr8RRIbgPMEoceYrMUM08aZrOI37+zl22MhkU2JwoRPfOsW7uw7wal6L2cPVBjYWeGrD1zkLftmeeF4nf/y2IPU4oC7dvUwHFg++034uXe/GhP1cuH8I3z6wQd4birPe4d6uHmwwsePTvLbf/Y4P/zKIoM9L+LiaXp6d1HuPcjjz+X58vMX8KRYAl61b4i7b+/H2Bnq9VlKxRI95T5SX+SlYzWOj03TX8mzb2cfO3cWMLZNvVEjCAJKhSJhmKNeM0xNNzHGUKlElMoBQeBot9sARFFIYAOSxBC3Pc5BGBnCCKwF8DiXEtgAMHifLWflUo8JDIH1YExnFYVse4/BewPeZ1/xGEO2nTVZS6IHYy3OZfsb75mq1ZiergMGYzzGmMXg6n22P91B9tIDtUuKjDGbeh99r5lp1Jmaqm91NWQVujbbk67L1svnQnYP9291NVZltmKOrWq1+i+B3wDqwJeAHx0dHd2oIgeBYx/8yP1cmLqU46LQ8v9+6K28eHqK/+Pjj6/YqZAL+INfvJcHHz/Nxz73/IrySjHk9//VD/DpL77IIyePkr/1ACPPPkbgU568uIedGA6W5xmr9XGiM5mGxWEMpN4wkKtz19AYj5w/QNtFXa/sCYxjT2mGu1/5Sr78+EvMtfNZAOHSod7af4GdxRon5vo5OT+wsCsOg8cQmYRSmNJ2hmaaW7IvGMphC+ctjTTEszJwVMIsdNWTkNQHK8oLNsZaTysNSf3KBtR8kGCAdhrgVnn9QpA9sbpReSsNVq3feuWm8/5ZecjyG8TgyQed8X/pyv/H2Kjc4sldhXLnoe1Wlgc4osCtXW4ckXU4B22/dnnqIF6lPDSO0DoSZ0hWubahSQmt/y7KLckq1z4yCYGF2NlV742cSbDrldsEayBOLekqjfML5Vd6b+ne0723olz33prluvey8tQZYp81KHR766v38k/eUeVf//uHmZpvr9j/Pa/fz4/+4BH+x997iPlGsqL8n7zzVt76qn38i9/5Er3lHB/9lXcAHAKOr9h4DVvRlXkX8NPAAWAP2eKUH3q5r2eAkZEe+vvLq5ebrLynUlij3DAy0kOpnCMMDT60JLk8wWILjwXvSLo+Pr7r3335FlPtMinR8lfGeUshTJg/9RA7inMY4/EeUm8X/zkxO8xFt5OJVunS77GLi6fnAkfs7eIH1HfKPCZbr9OFhNaRsytvkKwaIfkgWOVPQ6YcQU/OrFneGzl6I5d1566iJ3L0rFPem+vsv1rV8PTlHH251cvpKmfFn6fs2i/Wb4Py1Rjjr6jcdsp7wvXLS2uUB2TlxTXKQ5O9dz5Y/dxuVJ6z2evn7Orl+SArD83q779ReTHM3j9Y5dwDlDrldq17Z4Pyje6977p8lTKDX7ccuq+97r3LLde9p3tv+997a7cFjYz0YIPV41GpnGNkpGfNnpeeSqFTvubLb+iat5hVq9VfAnaOjo5+qPPze4B/MTo6+p4Ndj0IHJuYmM+6tzbB733yLzl/6E5uev4xTKuF9zMwfg8uP8Nsq48K8Ka3H+Gvv/Y1DvVO8tpbv4/Hnv8G+6tv4mNfvACA7VyMn3xnlTfeYvj6w39G6gw3HbiD/be+jd/95Lf5TmcMWSGyJI4lT2P2l0Ne84pd3HNkmAcfOc4zZ2d53+v287Y3HyQMLK12SqPVpqecJ8j6Emm0El44McXBfX30lnKbcm62g5GRHsbHNR/cdqPrsn3p2mxPui7b19W8NtYahoYqcJktZlsxxuxJ4Deq1WqZrCvzvcBjW1CPFYIka75Nwxz5dgPvYlIM9TQkW5zJcGaiRuyy5tFnzzxHX18/977uDloX31zEAAAgAElEQVSml0984UXyuYBf+MA9HNnXB8Cdd95DmBugPPQqPn7/83zn5BT7RsrsHCjxs//gDoLAMDPfZny6QRRaDuzqwXai9h2HBkmdWwxgAPlcQD5XXFLvYj7krltHrsUpEhERkU10zYPZ6Ojo/dVq9VXAN8lmoPg68GvXuh6riVwWzJIwT8l4nPekQD3NEeVDTMsxNtVYDGa12jyve92bMcbwztftZ+9wmX07KvRX8ouv2b/nbQB86sGX+OLjZ3jX6/fzgbfevKQZdKAnz0DPpX26dYcyERERubFtRYsZo6Ojvw78+la893oC58B7kijCGofvdJk2fUiuFEKrzbmZBj2VEgBRFHHzzbcu7v/Kw0Orvu7fPHKcz37tBG+9Z8+KUCYiIiKyYEuC2XaVsyE2diRhDmvAu2zslwMoBjAFF+fa3H2kD2bhyJFXEEXLB/1nnPeMXazx2HMX+MxXjvOG23fyk++oKpSJiIjImhTMutgwj40dadgZQN8Zk++BJMy6FFtJyv49O9l36xs4fPjWJfuPnpzi6WOTHD07y/FzszRaWdfoq24Z5qffcxvWKpSJiIjI2hTMuhSiiKDtSKMsmC08besAH2XBLAAO7enlln37l+xbbyb85p89gTGwb6TCG27fxeE9vRze08uuwZJaykRERGRDCmZdirlOV2ax02LmF754XFcw27+jZ8W+x8/N4rznFz9w95pjzURERETWo0f+uhQKBWzbkQbZuDGzGMzAd7oye6wln1s5m/CxsVkADu7uvSZ1FRERkRuPglmXUiFHEDtcGHUay7LuRwe4KPu+vMY4seNjc+zoL1Iprv4wgIiIiMhGFMy6FHI5bDsFY0iDaEmLWbqwjV89mB07N8uhPWotExERkZdPwaxLISpikmzNyTSI8CbrsnRAqxEDkFtlCauZ+RaTsy0O7Vo59kxERETku6Vg1iXK5TBJFsDSMAdm4fR42p1V5APnWb6+6LGxbF0tjS8TERGRK6Fg1iWMQkyaBbAkiLh0ejzxXIIDLIa4nS7Z79jYLMbAgZ1qMRMREZGXT8GsSxgEmKQNZF2Ziy1mxpPMtfGdH1cEs3Oz7B0ur/q0poiIiMh3S8Gsiw0DTHqpK9N3gpkx4GIHnSkz2l3BzHvP8bE5dWOKiIjIFVMw6xKEAZBikmRJi9nimLIoaxGL28niPhdnmsw3Yg4pmImIiMgVUjDrEgQB3jqCOM3GmHWWUXLeY6zB5DstZq1LLWYLE8seVjATERGRK6Rg1iWIArxx2DjttJhdmmC20pdfXJape4zZsbFZwsCyd6S8FVUWERGRG4iCWZcgDHGrBDPvYWCwSLrKGLNjY3Ps31khDHQqRURE5MooTXSx4UKLmSMNIzwGj8cbw/BQiaTz0GXcysaYOec5cW6OQ7vUjSkiIiJXTsGsSxiGOOM7C5nnwGTBzFjLTXt7SYKsBa3VCWZjEzVaccrB3Zq/TERERK6cglmXIAxwBmzb463ttJpBMFyiXMnhOl2Zjc7yTEc7A//1RKaIiIhcDQpmXQJrcHiCdjY9husEMwJLO3X4TjBr1bNgdnxsjkIuYNdQaYtqLCIiIjcSBbMuxoAzEGST/5NGEQ7AGqwBFy7tyjw2NsvBXT3YzkMCIiIiIldCwayLMQYHBG0HQBpmwcxYg8fgOmPM2q2UOHGcujC/2I3pvefrDx/j4vm5Laq9iIiIXO8UzLp47/F4bJwFsyTqCmbeL3ZltlsJp8fnSZ1fDGbz8y0+Q4vPfvvsVlVfRERErnMKZt1cggNsV4uZx3RazFgc/B+308UZ/xeeyDx9YR4bO04m7UtLOImIiIhcBgWzbmknmDmPTZNLXZmBIXV+cYxZEqccOztLTyliqLcAwNnxeXY9Nk400eL8mLozRURE5PIpmHXxaYzz2SnJJS3SIIfHgzXEXV2Zcew4dm6OQ7t7MZ2B/+fH6xgHxYtNvn3s4pYdg4iIiFy/FMy6pTFppxcySlpZV6ZxGGtop458ZMFAK2mya/rvuamnsbjr7Gz2fdRIefHs7FbUXkRERK5zCmbd0oSUrAUsSlud9TI9xhqaqaMYBjhrmOQMI/YC6fQji7s2G8ni9/W5Fs3OJLQiIiIi3y0Fsy5J3Cb1WTDLJS2SMIcxKcYaWqkjH1iO+pReMwZAeuEkaRLTqMfQTkkLAaY/T1hPOHl0cisPRURERK5DCmZdmo0WrhPMwqRNGkR4k40xa6QpY89cZNoljNgLNHIWm6ScPvYMUxM1bOIw5YhdNw+Qm0945kWNMxMREZHLo2DWpVlvLwlm3gYQeExgGHt+kvPHZjicmyIwCSeHy8QBPPf0w0xdrBE0HfnePHfcvhOA0+dmcc7xX//iN3no4U9u5WGJiIjIdULBrEu91sZ1xpiFcbYuk8tZ2pNNLr4wzZ79feyOzuN9wHyxxMWBkOmTL3HuzCTWeSpDBW7e00dSCvGtlCcf+yqtU6c489jDXLhwYvF9vvboSR599OSWHKOIiIhsXwpmXVq1Js5lwSxIssH7ac5SOzFHvj/PLdUSheQMsd9JJewj2rcX0pTxs88BUMxH+NST31shrCeMfvMB0iDAG8MX/+4/4b3nzIkpPluf469bNR557NTie7dbDepz09f+oEVERGTbCLe6AttJfb6xOI9ZEHeeqoyyn4cG8syeeIYdvk7D3UbZOI4cup3zz5zA1F4CdvDC8Uk+da7GTUcGOf3iC5jmBK68O3u9i2M8/sQDfP25QQqRAQN/n4/pfzbH4UMVPvOfPkLaavCq+z5A9e43Z/WptZmdarBz76X50kREROTGpWDWpdW4NMbMxCkAPmcBT9RIKccX8BjabjdFP83tw1We7ovYe3GMuJQy+Yp+5uZibn/uIvloFEceVxghX4hIWxM899DnmN75AeYPDACQm27xV0+e4MjD95M26/ggxxMPfIKzZ19i5+638zcvnaHeFzH8mOftr9jLwYMVHvrbP2Vq7BiDe4/w6je/i4Hh3Zw7M8up09PsHKmwe18fuXxIksScOf4CfYM76B8czo7Fexr1mCgKiHLBlpxjERERWZu5jtZ1PAgc++BH7ufCVGNJwR//8n187ekx/sNff2fVHf/4l+/j4597ji88vnKBcQN89Jfv4//688f59vFJLCkQYozD9hXpLcRMnHMMhJbZpAUY0q48W2Cee3Of59sD72W8VQLANRNMs4nDEhr48I8d5nc/8RQNSpjeEh6DayYExZD+wxWOnPk8z184wASDWFJsaDHFHAQBfdV+wkqO5vkatWMz+CTFJw4TGAgsO2+O8AMD1KYS6qfnwHnwfvHr/gN1bD7H+FSR2mQKxsDiJffsPmKJbMLFCwH1Kb/0xAB7bitg8EycTWlOX5qrDQBr2FuNAMPFMymt2aXlNjTsviU7V+OnHO35dGl5zrL75iwgXjjhiOtLy8OCZeehrPz8sZSk6ZaUR6WAHQcCwDP2UoprLy3PVQJGbspaPMdeSHDJ0ns93xsyvDc70DOjSXbOuhT6Q4Z2d8q/s3JeuuJgyOBOQ5rAuRdWlpeHQ/pHDEkbzr+0sryyI6JvCNotGD+6srxnV0TvADQbMHF8ZXnvnpCePkOjBpMnV5b374so90BtDqZPrywf3B9RLMPcjGf2bLKifOhgRKEIs1Mwd27l/iOHI3J5mJmA+Qsry3feHBHmYHrcU7u48vV33RIRhDB53tOYXFm+97YIgIkxv8a9l91bF884WrPL7q3LuvdS4vrSe2fje8927j1e5r0XMLw3K9e9p3uvm+69a3TvTXkmjjZh6enj4K4K/8tPvY6f+Y0v4NyK3bnz4AC/8BOv4oO/9gVWS0/3vWoPP/nOV/DTv/YFdgwU+eivvAPgEHB8lc1XpRazLhaHxeNJ8d4AHkILOHJJA4NdnIA2SzeGNkUS34PvL+DPOnzqsYUAH1tcaglNStpvaVOBYgTWks618CmQNLFxwLE734d7ZhIzXscWIkwUgHP4eovebzzFyNAEJ6KbqdkKphgu1gDvwVr6J18gvRBSa5Yx1mThy1owhlplD3mTAK1OWOvcaZ2uUeM9zhTwOCC59LoLKyDEc4DFuGjhkLNywHgIk0bn+3Dx94s8BEm7833W8th9JxvvL5U7u8r+fun+K8rd4lhA44OV5c4RJAvHZFbZPyVIXGd/s2LxeeMcQZIuHstyxnX2dz57/TXKnVtr/4QgcQTpKnUD7Eblafb6ds3ypFO+yrkDbBoTJH7N8mChfLVr01Vu1ii3rk2QsGZ54FoEiVm7vHPtjVt5bc3ye2uje2/F/hvdW999uVnz3lzv3rtUrntP997S/XXvXYt7L0iza7kdm6auuxaziYl5nNucOj/48Y9xdvwbWGeJoyO88H1vxU7Pc/KpOm+wx+gLn+TYgQ/Q94IjLE3znve/hke+cYLp55/m6Ft+gL7zs9y7K+azrSIQsOORWeJonsmRkwzM38X4a0YYOvsUI+PfoHD4AP6JZxkbynN+/7swlf1A1oUaTU/QO/sIu86dInCedhQwv3uEnuFXcu5ikXZQIZe2GC55hgZzzIw/Q3tijKCnj4E9t9JX3sPsTJup6SaFXEClkqdcKuCCNnPT54hyeUrlQSKbJ2k7mu0YiyGMAsIgxAaQ+CTLd4RYY3CpxzmHc54gsBhjsnFvxnfy2sIH1IB3nQ+76WyX/d53PgKG7j8G/tJ+JnsVj198Pe99p5XPUykXmK+3FrZeYbW7wiwpNWt+CJdut+x1r5uPyNaolPPM11pbXQ1Zha7N9qTrsvWKhRz3HDm0Yvz2yEgP4+NzV+U9rDUMDVVALWYvX7lUxhnAhITJKYI0xoVZk3HBjmGKA7RL/cAkxkQ88shD+NotzPbfirchlcnneenUC9xU7OHonf+QyVekDD/r2Xn2ds69fgDaTZrNr5OfbeCeeJb5UsjAvjt4TTHP5xs10iDPTe0JfuL776Sn8ka+8uX7OXfyBd761vdy000HgSyoJElCFEVdNX/ztT5VW+JqfmDk6tF12b50bbYnXRdZj4JZl1JPD9bDDK9kkG8RJG3SKEdIm5wZh+LduDDrmy9WeqjVTtMar1M/PIBNYvqmnyFwDYrG0jt1itndN9Eca9MYKZCWQor1GtXoLprRE4CnZ/AO/tFb/jG5XI69J44yM1/j7tvehLXZe7zl3ncB71pSR2PMslAmIiIiNwoFsy75YgnroRkM0XY7CJIWvlBk2F7AGE/b7caFnXnOyHHk1jv45tmY5lCe4tQUoatjrCUpDuPr38L19jLxygFcLoDU89qekO+744f47N/MAYYffOu7yeVyABw+cHgLj1xERES2AwWzLmEujwGcTan5m7NlmcKQ3fYUqclTn63gO8HMxXDgpjv4WvkZ0mJI7mQ2iDwdHMaZkPOVSaLm49jSvZjUkXMt3nbnHURRxBveeC9BELBjx64tPFoRERHZbhTMukT5PADeODx5bOxxYcRwMM584RDpjCNw2dMsaeKZnW7RHC4AkJ+PaR+o0mg5pnrmiG3CgUaJ8bLBB4Y3DlYWuyBvvfW2rTlAERER2da0JFOXKJeFLG9TnA+wnakU0qjI7GDW1RjV23ggiVOmJuo0hvJEczGhaXLRtcglOcYrs9zcd4gfe+07s318yg8eObgVhyQiIiLXEQWzLmFnvBfGgQ8IOrP/P2Vez+TIoWyb+RgfQJp6zl2Yp92XozDRJIgaDDUqXCjP0PAt3nXwPvYOD3P3QJl37d9JZHWqRUREZH3qyuwSdLoavXF4bxcn2ZsLR+i3FlMKiWZjfGBIE8fpOAZboHixRViq4fGc65thf89ebhu8FYAfP7Jny45HREREri9qxumyEMywKaarxczmLHE7xfflCedSXGhxzjNdDrCxI6y1GejN4V5RomVj3nnwbVp0XERERC6bglmXxWCGA2exnWAWRBaXeOKeiKiZDeb3QGMwT2GiSVI2zA00OZ6cYVd5J3cN375lxyAiIiLXLwWzLkFuocXMYXzWGob3/FDvsww2J2iWs1UAMIZmn8XlA/ITTWaLL/J19wwt1+b9t7wXa3RaRURE5PJpjFkXGy60mKWdRbENQRrTDIuM1Mc5t2MXPYB3KY1dEXhPcaJN86YKHzzwE9xz+B6FMhEREXnZlCK62HChRSybJgNvCdKYWlimJ56nnQsIQotJHe2BCrnZmCB2FPND3LbnFQplIiIickWUJLqYMMASYDrBLHsyM6YeluhJ5/HGEBQ8LhcQ9+QoXGziDBTznmKxtMW1FxERkeudujK7GbAmAJMN+scbwrRNPSrR7+oAnB+ao7HvMLbtKI/VicshO4rKtyIiInLllCi6GGOyFjM8AL4zxqwelehz8wDMH7gJF1hGnpggbDni3hwjPeWtrLaIiIjcIBTMljHGYshazIz32eD/oEg+aGcbhHlGnpokN5+tmdnqz7Grv2+rqisiIiI3EAWzZSzB4uB/4yFI2mAMnzv0HgByHCecbS5u3+6N2Dc0vCV1FRERkRuLgtky1gTYTouZ9YYwjQE4V96DcSmVIKZdbC9u73OO/t7eLamriIiI3FgUzJaxxmJYeCoTonYDgPvOfJ7eeI7AlWiVst+5nCGfpvh2umX1FRERkRuHgtkyhgDrs6DlcRSac/zoMx/j9RcepRLPYVyRRm/2IECrN6Acp7jp5novKSIiIvJdUTBbxpoAszhdBhggl7YA6InncS5Pe6CIB+o7yvQkkCqYiYiIyFWgYLaMsQFmscUsU/d5ACrtWeI0hJ79nHvjDuq7SgykAemUgpmIiIhcOQWzZawJsL4zxqwTzerkSTCU23O0CbG2n7iQgjEM5QpqMRMREZGrQsFsGWsCjM+exPQG8J6EgHkbUYnnaFmL9y3i9AwASSnCTTfx3q/zqiIiIiIbUzBbJgtml56ytHgSEzBPjko8hwst7fh5vM/Gnc0VAnwrxTeTraqyiIiI3CAUzJZZGGPm8TjAekdKQJwG9KQ1MIZ2+zt4Erz3XLBZS5m6M0VERORKKZgtY22I9Q5vs3FmAY4ES9IO6IlrJHEd52dotb5GEr/A2TghBZweABAREZErpGC2jLUBxjmcSfFkwSw1lnqun4JrkTQ+t7AlaXyU2HvO94YkUw3aT36WdOrsVlZfRERErmMKZsvYIMR4h7cpYAh8isNybmgEgEp8HoAoPEzbncX7mNODOZLJCVqPfpLxRz61hbUXERGR61m4XmG1Ws0DPwv8N0AVSIHngL8A/mR0dLS9zu7XpazFDJx1eAchjrYxnC0cBWDA72eCM4ThAeLkRYrJGU4WD3Pn6TEqQP7st/FxExMVtvZARERE5LqzZotZtVq9F3gMuA34feCHgXcBvwfcBXyjWq3edy0qeS3ZIMR6FlvMQlIcMB+WAOh1nmKa4xeP7uJIYy+0jnPaOFpuEoDQxbSPfWvx9WqNedpJvAVHIiIiIteb9VrM3gt8/+jo6Oyy3z8D/HW1Wu0F/lfgC5tVua1gbYh1Pmsx84aIFG8MfXOHgRP0xDX6bZlSCnc1jvA3+a+R946WnaRtI5pBgfwLj5C/9U20kzYfefi3OBjs4Z/d97NbfWgiIiKyza0ZzEZHRz+03o6dwPavr3qNtpgNo6zFLEiBiIAUj2Hv0ZeIBy09SZ1ymI03O5yM0LItwvQ8xk0ykR/iZM8BXnv2G/jmPI889TVmgzpP8SLHTrzIoQNHtvbgREREZFtbd/B/tVp9e7VafWXn+1+rVqtPVavVj1er1V3XpnrXngmzrkxnU8ASeoc3hp3jY8wFET1Jk7LLxo8NxAUiF+DbR6kkk0wVhpnY8yqsT2k+9VW+NPl1ir6PyOf4zLN/g0/c1h6ciIiIbGvrjTH7deAjwMer1eq/AW4F/gfgGPAn16R2WyDrygRvHHhDgMNjCHE0TZ6euEnZFbONnefVtcPY9nF64llq0RCDe44wmR9g+pkHOJ+bhuI92PzdPJ8/wzMPP6qlm0RERGRNG40xuxMYJAtjO0ZHR+vAQ9Vq9ckredNqtfpesvFpZeD+0dHRf3Ulr3c1+STGkD2VaTBZV6Yx9N4zQLvh6aFJ2V964vLO1kFOR88CMB8OcmelyLMDd/Dmcw/Tm+7lTm5homwYjZ/mM82vcOQ7R/hSfIrYed5996sJrAHgq088xNjsOd77hveRy+W34tBFRERki63XlelGR0fT0dHRceDfdUIZnUH/F17uG1ar1cPAHwL/kOzpzldXq9V3v9zXu9rczAyw0GJmCbwDDMXbeokCS08ak3ed4BQY9rGDkThbWzMsxZS/+RTPVvZhgNfN9/DOCwk/Ngs9wT2cyV3g0acf5DWP/SE/8Ni/4zv3/xGu3eQrz36ZP538a76QfIPf+NLvcn7y3NYcvIiIiGyp9VrMHqpWq58CvgaMV6vVXyRr4Xo/8GjnZ0ZHR3/nMt/zHwGfGB0dPQ1QrVZ/HNgW6xn5NCWeyqa98MYBlpAsdMWzKX0jKYUxT8FlrVwvNmMO+IibXYgDXtn3DE37LPemEVP5iLdMThKEMcFMzH8bDP3/7N15nB5XeeD73zm1vHvvLbX21SrLG94xGLPYGENIIAkDgUlmkpCNrDNkZhgnYTJ3bpi5HpIZsnFzSYIDGZIJGULAmLAYHGzAxqtsyZZUsvalW1Lv3W+/W1Wdc/+ot1u9SW4bS6/UPN/PR+7u96nlVNVR+9E5p87hm2vzbKs+gEUx1tHLhqPfZehvnmLnihxeYSM5dzsnG9/mozv+hLfZ60kcg5NMgN/D5u4t9NdHeGj0aU4zyArbS5DdxPWrApTfxvFKmc5sjr5injipcXTwOMfLgxTdHL3FDnraeygW2qhGBtfR+I4ijiOmqlOUK5Morcn6GTJ+lkwmi+OmVUNZS5wYoqhOFEdYY3EcB8dx0K6HpzVKO1iTkFhLkiRYY7DWoJRGKYVyHDQKpcBaMFiw6TxxMN21q1AaUBrd/NRCukNzm4gyI2NTM9uj1KyHt5Txe+rFN4G5xxUvKlJlRsarrS6GWIQ8m4uTPJfW8x2HzmJXq4uxKHW2MU/NyWV/Dbicc7+9+bMv5YRBEPwZ0AA2AeuB+4H/FIbhiw2+2ggc+rmPfJ3To3Mr9L13385Xv3eIv//WoUV3vPfu2/nDv9/BzoOjZ41/+M8fpX9k+riWjNfAizK8uv15kkKG0QHL83YzLgl1PHIoYmCjp/lXq77AnvEe/nb8NUD6v3+HBBfD9T1j3LZ5kocHMjx1rA8XhcYBwACv9k9wS2Y3j6j1fHviMhwsLqSJDIrNKHr0FINYDpo8BottnkOhuDVzmjwQNjo4ZjNMJzHTN/NN2X4KTsIztR6OJznUTHKSHuf27EkyKuGZejcDZuGkuG/NpUtMPVXrYdD6c2IO8JZ8Gn+s2suI9ebEPSx35AZQCh6prmDczq1GGSxvyg0A8N3qSiab92VaHsPrc2nr4cPVPirzGnhLJNyaS1di+OfqKurzEq92FfOabNq4+83qKqJ58S4V8ercIABfr6xupuBn9OoGN2aHAPhKZTXzrdJ1rs0OUzeaB2sL34dZq2tcnR2hnLh8u75iQXyjU2F7Zoyx2OPRRu+C+BanzLbMBINRhiej7gXxwJ1ksz/JQJTnmahjQfxKd5z1/hRHGwWej9sXxK/1xljlVTjYKBHGpQXxG71her06++ptHEiKC+Kv8QfpcCP21Ds4nOQXxG/LnKboxOyqdXF8kbp1e/YkGW14ptbNgFnYff+2Zt16stbDoHnpde/N+bRuna3u3d6Mf6eyeN17Qz6tew9VFq97r8unde/ByuJ177W5tO59oyJ1bz6pe1L3Wl/3ijwbt2Pm37+Cx8d+/Tbef8/iM4Gt7srxkV98zVnj12zu5N++5zref8+DrOjM8ckPvwXSfOfwojss4lwJVx34H0s90EvgAq8H3giUgfuAn+b7eKGgt7dEIX/2mfZ7e0tk/LM3Dvb2lnC9+b26zdTGpF8bVTDZ9AE6WBwUDqBNjK3BpPbm7Jng4GIoMkTdq9A4tRW/ebtj0qTMAU411vKNxnomSMjDrLQpbVlq8xp0eIoTNR+FnvPALDDe6EK5jVmVK/2qm18H6yspa0OcOLOSsnQ7BYw3OnEVJMaf2Wf28cei9F8U1nrNVHGu0XoXFoW1LhrF7OxaoWbt7y44PrPjnCmfmrn7eiY+narOLZ8zE1eLHN1ad058wRO2LqON6eOrBXFjvJn4wqOn92y00UVkFjs7xM147SzxKMky2uhiyujF4ybHaMNlyjiLxhtJntGGRzVZPF5PCow2MtSTxe49VOMCozZLI/EWjU8lbbg2ITKLx8txO9YYomRh3QGYjNqJEku8SN2CtO552i5a94CZe2/Ocv7p+GJ1S6GWHmex+6dn1Y2Fz8fizMRfrG5J3ZO6d9a41L2F8QtU9yJz7pzgbFxPnzOe8d1zxpfiXC1mXwT+SxiGT58lfiPwu2EYvuOlnLD5hmfb9ID/IAh+BbgqDMNfeZFdNwKHhofLGHN+3mz8h899kzumenh07As81baO7lNbeGP3fTyRCdi8M8QtaK5cM8iBrit5dP/NbAsiDh5QqMRQ6n2WR7Z4mGSYvqkE2t7LO597gONRBwfrG9BWsyo7xLXFzXyv5zn2Zfv5ieFb6Wy08axvORBP0m4iTrTlKazr5Sc2reTY955lqD7Gpo41rL1yK7Yry7MjZQ6NTLGxu8j27iIlL61cNjEoZ+5fsVqc4DsavUy65np7SwwOTra6GGIeeS4XL3k2Fyd5LhevV/LZaK3o7i7CK9ViBvwy8BdBEPSSdjfuJ31ZYAvwNmAU+MDLKOv9wKeDIOgAJpvH+sLLOM4rznHShM9VPrbZwKubiWvk5fBq6fimRi1t2l7Vu4PNbi9PhXkGT99EX3KcRqbA+rENlCsjfJsbcIjZmDnC5Z2H+UzwL7huwOGu8Wu5c/waQJG/ZQ3Xb+rgsT3HOL70wygAACAASURBVBInvG5lB3et7cHRio4fvhUSi3LPJFw3rerkplWdC8o+PykDyLrOgs+EEEIIcfE6V1dmP/D2IAhuBt4NvI+0hykE/k0Yho+9nBOGYfhYEAQfBb4DeMADwF+9nGO90hw/TWQc5YFKE7KMTRO0aj5HaXCYulLUJtsA6Fp9Lf5IgztLn+PT2R+nfWANKMgWMqzodFivGvTx17iuwwPXfABPF1nx+pVMfXkfCkX++lVkt/eSBX7x8rVMRDFb2s6Ml1BKgbs8WruEEEII8eLO1WIGQBiGjwOPv5InDcPwXuDeV/KYrwTHSxMzV/mko8DANwkKi2l38ftjJl1NXE1v28pNb+aFRz7JKmWpryuhth7gtRtuZsvDaQZ7yM9xfM2Ps7pvHU8O5bhjZTvZngJmSzcWyFx1ZmBkb86nN+cjhBBCiB9cL5qY/SBxmi8IuMoDlSZmBgdfJzQyLn4cM+G4xAZcpahU6oyN99PnFVlXz/Ivrn4faChHL6CAob4cRzpfRZ/O4Kgxbl6RviGSf936Vl2iEEIIIS5ikpjN4mbSFitXeUxPrRZbl4yOqHse2lqmlKJhNErBg/d/lc3OCFZ3sqHikoxVsfUzLx97a9o4OjlJ/1SdqztLMwP1hRBCCCEWc85FzH/QZHyPBIurPFSzxSyxDlkV03B8LFCzmoZxUcrywGGXlXqSKbeb1XWPZLRGfLIMrka3+azrayOxUDeG16xcON+KEEIIIcRsL5qYBUGQD4Lglub3HwiC4JNBECzLvrislyHC4ujMzEzyDeuR0w2s0tSzGaLEpW4zKJ3gABkShrI9lGKIhyppYpYY3DVtbChlcZVibSHDuuLZ51kTQgghhICldWX+FXAwCIIE+BDw18BfAHedz4K1Qtb3iSjjKH+mxaxuPfLUAajlchBDzWTI6Qrb29N1NU8UelhfBzNYmTmWt6aEpzXv29pHp+8tPJkQQgghxDxL6crcHIbhbwE/AnwqDMP/C7g4F5j6PnmeS2Tj9K3MZotZZD0KzfFmlXwWp5GhbrP01kd5TTZdAupAad6yEo7C7UuXEdneUaQvv3DJDyGEEEKI+ZaSmE0399wFPBgEgQMsXLxsGfA8j5gEV/nNlTDTrsy8aeDamHIxj65nsWgyVCjEw9S0y8l8EaaXdNIKd1Vx0QlfhRBCCCHOZSnZw6NBEOwGcsAjwDeAb57XUrWI5zo0iNPB/5wZY5aQULQ1KoUcql4AwFcVvMYko9lO2rM+bk9zYlhj8da0teoShBBCCHEJW0pi9mvALwK3hWFogD8Afv28lqpFPNcjtjGe8lDNJZnqeNQwFG2VRiaLTtJuyayqklcxY/kVdPge7orCzHHcNd/fAqZCCCGE+MG0lMTs/jAMvxOG4ThAGIZfBh49v8VqDddzaRDhKg/dTMwauFS1pWiqGNeHJJ3rLOdO4jswml1Jh+/i9KYtZro9g1OSMWVCCCGEeOnO+lZmEASfA7YBW4Ig2Dkr5EHzNcVlJh1jFuMqF22aXZm4VEjosTVQishNh9wVcmUABvxuVvsuTk8eFNKNKYQQQoiX7VzTZfx7YCPp1Bizuy5jYPd5LFPLeK5DbCMc7aIBoxJi6zCpFRttFYCG54KBrJPmpsNeJ9t9D51xKb51K06HzFcmhBBCiJfnrIlZGIaHgcNBEATNsWXLnutoYiIAPKswOiHGpawVRZtOmVHLaFTV4qkG1kA9dumYXmNz1jgzIYQQQoiXaikTzP5IEAR/BHQCqvnHhmG47PrsHEcR2wYAntU0tCHGoaE1HgmeaRD5WTK1BKUgqkK+UqbdlzUwhRBCCPH9W0pG8VHgN4GnAXt+i9NaWiliO91i5lDXCQaHmlZYIG9rTLpFMjq9DXEN8lOTMy1mQgghhBDfj6VkFGNhGH7+vJfkIqCUImm2mPlojDYkxpl5dbVoq4y7MVmV/hxXoa1aJus6rSmwEEIIIZaVpUyX8VgQBG877yW5SCQmHdTvWxejE4zVOBYSoGSr4Bg8bTFWUa9qOqpTrS2wEEIIIZaNpbSY/RDwa0EQNIAGy3iMGUBim4kZGqsTLA4aS6wUbSZ9AUA7EbuSGykm+ylVyq0srhBCCCGWkaUkZnec91JcRKa7MjPWwSiDtR6OhbrWFJN0ygyl60z5BVShRH5qEgBrLd95YD/brlrJytXLMmcVQgghxHn2ol2ZYRgeAW4CfgEYBF7b/GxZipP5LWYabWHKcfCNwVowTp2y6zOZL5EpTwBQnYp47ul+dj8z0MriCyGEEOIS9qKJWRAEdwO/DLyHdCHz/xwEwX863wVrFWtqWGvJ4WK0wVoHBxh3HGLrYxOPxGmwb80WRjpX4EyOY61lYqyKosap42OtvgQhhBBCXKKWMvj/vaTjzKbCMBwGbgH+5XktVQspa4htQlalLWZYzbq9NUa1Q81mMbFHwzNMdnTRv24zKo4xU1OMnB6hw/sq1bFnqdeiVl+GEEIIIS5BS0nMojAMZ9bGDMNwDFiWmYexFmViYmvIOAqjDTpR9B2MiCYsdZPBxj4NJwZrGe/oxgLx6CgnD+9CqQRPn+JU/2SrL0UIIYQQl6ClDP4/FgTB2wEbBEGGdA3NZTnGLDYJ2hoim5BxFNYmTOeupmapuVlM7GOVwa9N0cgVGe5dxdqxUcZO7QHAVcMMHBth/eauFl6JEEIIIS5FS2kx+zXSmf+vAaaAtzU/W3aiKE6/GoPvWKw6k5jpWkLd5LGJD0D30AmwlsObLqdysp+oegKb6QNlOXlkf6suQQghhBCXsBdtMQvDsB+4IwiCPOCEYbhs++kacdpDG1tDRhlUMzEzKHJThnouD3GamGWrZRRwZPPljBx4lMQvEZd6KHqWiaHDWGtRSjH8pS+SWbee4rXXte7ChBBCCHFJOGtiFgTBh8Iw/GgQBH/CrDUygyAAIAzD3zj/xbuwavUa1kJkDY5jUM2rNsqlVDYM9ZbwrYey4MU18p7LZHsXh6eqJF1r02NkOmHiNKPDFTrafYbvv4/MmrWSmAkhhBDiRZ2rK3O8+XUIGF7kz7JTm5oCHCJjUSputphBoh1KUwnjtONrTS6KcZIGa/IZVBJxsrsHDVwX7SdWLm42YuDoMI2BfkgS6kePEA0NtvTahBBCCHHxO2tiFobhJ5rf/jdgfxiG/wX4BGnC9nsXoGwXXKVSxqKJrEVrM5OYGeXiWKjYHBmtyccNIGFTW471R3ahlOXqxmHW1U+TMzX8XBvHD+yjfuzYzLHLTz/doqsSQgghxKViKYP/Pw78cPN7A9wG/OF5K1ELNapVmE7MVIxmOjFzAEhiRUYr8kkD62hywyfI1ccZ71zNBnOKwWehb2yQKbeNkdMHqR87ivJ9/NVrKO94qoVXJoQQQohLwVISs9eGYfg+gDAMTwPvBt50XkvVIvVaBdvsyoQIR81NzEggoxUFWwWlCHd8D686RYfXIKmCTaDz8GlQikSNUz16lGhFH/HV11Ld/wLxeNo7fPC573Fkz5MtukohhBBCXKyWkph5QRD4s35eytxnl6R6rQFoYgvMGmMWOR4N1ycxmoxWFKkAoJSh8+RBrhx8jkotvS1+uU5XfQwnl6Vy5AgHil3c37EGrKX8zA4qk2Ps+8Zn2P21TzFyqr9FVyqEEEKIi9FSErMvA18LguD9QRD8bPPnL5/fYrVGo1HBWk1jpsUsndfMKIeJUhcoRUZrupjArY5D+Qil3hWsrxxlOGkHDbqQpXfgNJGTYbStyN5rXsVQW47Jrl4mn36Sp795P2syPuuzHo98/pMYYwAY+vznOPb795BUKi28A0IIIYRopaUkZv8B+EfgnaRjzT4P/Pb5LFSr1GsV0jFmADEOphnRJM2GwoxWZL0abvkIXqVMb0+OjIppVDW1fAHlZWk7PoJrYp658RZG21dhdJH7f/hfcnCsTL3/OXbkA57Kb6fLTPHtL3+d+onjjHzly1TDvfR//I8xUTqfmkkSquXxxYoqhBBCiGVoKRPMJsAfN/8sa1F1Kn0r0yggOTNdhnJw6ulyoZ5N0NqS1VCxYEf3gYLseJnBlatpz3rE42OsmBgi0h5v/8KnqORzPPL6H+K7b3gL647tpDQxiWMS9nduZv2hb3P42aeJfJeBzV1s2LOXk3/5Cdre+1Ps/cTvEScav1hk20//JsWOEpU9uyk/u4PitdeTCy5HKYW1FlOpoPN5lFItvINCCCGE+H6ca4LZ74Rh+LogCCaZNcHstDAM285ryVqg0agBTtpiZmN0s8XMaBedpN970SQ4kNeGSgJdUw1qCWRqVSaKnTxy5atYM1Wh68hp+jv6eP6Kbm47NsZb7/tf7LvmCrKVKt3j4xzbtpXOgQGOdm7gdDamc8V2il6N598SUIk9Oj/1cYZWbQOl0HHMyF99jLwT4WZdXM8QP3IA85BFm4S6UVS8LNmoQZYGrgalQCmFIn14FoXBkqBQ1qIBrSzKgsIy/V/bTOysSvfTANaiSA+kAKNAobAKmD6Dtcw6WUrN/jovYbQLqlRz2+mDzD72YtvNP+a5tpvnLKcWQgjxA8JoNv3Qz9O5YUOrS7LAuVrMPt78ehNQvQBlWZIP/dkjnB6dW5x7776dLzz8Avc9cmzRfe69+3bu+cwT7Du++GpS9959Ox/6+HcYmtw+89k39r8dC6zCECiHnaUt7CThyYrGVv7VzHZ79BA/P/YVHm2/godq2+GpBmTegMpYdL9lS/4UmdUlvtnewaGT3RijsI6CA6DUGu5of4ErrhxnsJrn6we2Q6N54PwVxBXF7VuOsLFznP0jXTxweE2aVDTOlP3HXxXSl2vw3EA73zq2asG1vefaPRT8mB0nVvDMiZXph7OSlZ+88Xl8x/D40T6eP9l7JtBMXn725l0AfPfQGvYNzl2Y3dMJP3XDbgAeOrCOg8Mdc46f9yJ+4rq96f3ct4FjY3Nz+bZsnXddsw+Ar+zZxMnJ4pykqbtQ5R1XpuuO3vf8VoancnPK11cq87bthwD4h53bmKhl5hx/XccEb952BIDP7ricSuTNiW/uHuMNW9I685mnriBKnDnxbb0j3LrpBAB/9fjVzHdl3yA3rz9JI9H8zVNXLohfu+YU1605zVTD5e+f2b4gftO6Aa5aNcR41efzu4IF8dduPEGwYoShqRxfen7rgvjrtxxlS/c4AxMFvrp384L4HZcdZn3nJEdHS3zzhY0L4m+9/CCr2qY4MNzOwwfWL4j/yJX76SlUCU938cjhNQviP351SHuuwXMDPTyx1Lo3y0/ecJa613TOuuecpe41vay6N8s56x5S96TuSd1bDnXvd/7PXmrxgTnxfMbhTz/4Bt5/z4ML9gXoKfl89Fdfd9b4trUl7v6pm3j/PQ+yojPHJz/8lkW3O5dzJWa/Dfxv4G/DMLz+JR/5krWwiSV2XCYzhfQHO3cTBUQVBc6C3QC46fJh3N5xbj5VZ2J/nih2aBgH30koZiK2bKrg24gDp9s4NZHH0RZHm+ZXixpvYAfGeaG+jqFyjsQoEqvSFjEsu5/2uaZ8nN2FzZxu5LF2ujFKYS3sfCbHajXGU5UeBqPCnAuwwAuPQcG37JjqYTgqLCj/qW+VMY7DM0k343F+3p2yDDxUQWN41nRTTrJz4o4y9H+nBliei7qpJP6c+FA5y4lH6mAtexpd1JK5v0CGyxn6m0n4vkYHDTO3uo5O+bxqOP0FebDRTmTmPoTxKY8rTqe/IA/X20js3CGVkxWHywbSX5DHaiXsvGdfqSg2nUh/QQ7UFt6bWgXWHj3EuMkx0FgYj6s9rDx0hBO2k4H6wvjj+3roOnCMA6Zt0f0f29tFad8JnjM9i8afeK6HnHOSp8yqxeO7OnH1aZ4w6xeNP/lMGzfoIZ5ItjCwyLN/+qkCV+kRHjNdi+6/84ksW/Q4jyc9nFxk/92PuaxRkzyZTNe9uQ5819CuqzwV9zIaL4z3fyd99s/Ei9e96fizcTfleLG6l8bPVvem43siqXvzSd2TugfLu+49Gm+hFrmL96q0mLJn6VIKguC7QC+wFtg/Px6G4TXnt2gLbAQODQ+XMeb89EVN7trFzocr7KmUece6z/OPuoA5+HY2jj7JoU09OCPruGvycdrX72NvMcfVa19F9YXHGd8RYyIoroXalhWUXvVeJv/8j0lu6CFzbRvHBvOsqIzglTSq3UM5CmssjcMVohPQtarIruOWST/PldFRem+8hc5b3sML9/zf2CNHyd9xO2ve9T6U6zLy5JeYOLCDjm030nHtXSh99tx6eiH15aK3t8Tg4OKtnqJ15LlcvOTZXJzkuVy8Xslno7Wiu7sIsAk4vNT9ztVi9jbgWuCTwK9/P4W7VCjHIbIWx4tRxqJ0mgAmjksUK7KmjqlPkBjoihLs8efoj3rIRScB+Pab38/WzdvI7X6KJOvhX12ieqxBx67T2ENlSnfdyNjBhNrB59m1NsP1OybZ+KHfIrt+Ldd/5oO4cQNzwzvovOXHAbjst/4zSXkSt/1MU3n3Te+g+6Z3LO16llFSJoQQQvwgOFdi9vUwDG8JgmBXGIYPXbAStZKjiQHPjcFYtFUYmxBrBx37+CSYepnGOPR5NYhr1E8VmR4B8K5rrsVta+PpL+6k/bZuMBb1jQG8akKmW9H1rg+Q2fUc/Y/t4PqhBsXrbiC/Le1jb/ux38WUR8hsONMQqRxnTlImhBBCiOXtXIlZXxAEvw3cFATBb84PhmH4P89fsVpD6bTFzPWSdKCW0Wgbk2gXx2TwlcU0pqgNGko9YA2UTp+e2T8eG8Vta0Mlg3jrO/DLPdQrh1EaOn/4R1DaJX/FFahMFhtH9Lzr3TP7et1roXttKy5bCCGEEBeJcyVmvwC8F8gD81/NWJYTDijHJbZpi5kyFqxG24RYuzjkyagIbEI8CXEdxoY0ThzP7B+PjjLYmaHzqgJxRbHm+p8g+frj6KJH6TXpOvDa8+l554+C1vh9fa26VCGEEEJchM6amIVh+ADwQBAEe8Iw/IMLWKaWUY4mtha3OcYsbTFLSLQDxic7625N9UNj2KAyGurpHGfloZMMJI/T3e7hTm7DKXTT/fa34vRsRLln3szpfMtbL/SlCSGEEOISsJQFyT8RBMHHgcuBdwP/D/DvwjAsn9eStYByXBJr8d0EVTczLWaJdjGxJptJ54txc1AZTPdxM2AsxBGcHgzp6BgjOTDFipteDUD2lve26nKEEEIIcYlZylqZfwSMASuBGtAG/Pn5LFSrpIkZuG6EMhZrHLSJiVU6j03WT+ercZuj/Ye712Ejg1fyqOUddOcgWIgeGcFfs7pVlyGEEEKIS9RSErPrwjD8HSAKw7AC/CTpNBrLj+OkXZlugrIWazSOjYl0mphlHAfcdDLAgbVrOL3uBpIauBs6aHvHGtpW+AztncAp9KA9/1xnEkIIIYRYYCmJWTLvZweai0guM9p1MRZcJ0JbkyZmJiFpToiR0Qocl6QOqq+HHnMa95YukltKOEWX4W8P4j85SX7DxtZeiBBCCCEuSUsZY/ZwEAT/HcgFQXAX8GvAP5/fYrWGclwSLJ4bpctnxw6OTZoLa6eJWcN3iSvQ1V6jsG4Cp9CBH3djD+bIPn8IJ7Fk1i5c+00IIYQQ4sUspcXsPwJlYBz4r8BO4D+cz0K1inLSFjPPidIPjEabMw2GGa2xuRw241Da1kCZhMYX+und9h4y7StwknQWkcy6da0ovhBCCCEucS/aYhaGYQT8XhAEfw14YRguWDdz2dAOBvCnE7NE4dgz85RltCLp7MBzJ1BakXxvGD1Sw2nvxe3oPLPdOmkxE0IIIcRL96KJWRAElwFfAFYDKgiCYeCHwzDcc74Ld6EpV2OsxdfNxCxOp8sAUMriKkXS1wW2HwAz2sAvOAC4nWli5rS14ba3X/jCCyGEEOKSt5SuzD8BPhqGYWcYhh3AR4CPn99itYZSNLsym61kyZnEzFPp+w617iKqmYyZsRivowCA25GuaSmtZUIIIYR4uZaSmK0Mw/DT0z+EYfhXQO/5K1ILORoLuCptMbOJRps0SXNVOn5sKgeqzcXWE4gsmVUr0nhnFygliZkQQgghXralJGZuEARd0z8EQdDDMl0rEwXWGjydtpLZRKdvZQKeAptEVDyLKrnYqfTzzMbLANDZLKt/9TfovPOu1pRdCCGEEJe8pUyX8SfA94Ig+CxpQvZe4GPntVQtopTCaU4uC2ATNdOV6TsKkzQoNxqooostxygH/OD6mf2L117XknILIYQQYnl40RazMAz/HPglwAfywC+HYfhn57tgreK6cTrQDFCJRjffyvS1xiYR9YkYCmmLmc6B27OhlcUVQgghxDLyoolZEARrgHeHYfgfgb8Afj0Igr7zXrIWcZ0YZdKB/tYqnOY8ZhkFNmmgJi0qo6EcM9jhES3LNRCEEEII0QpLGWP2aWBv8/sjwLeAe89XgVrNm92VaZjpyswqhbExGceilMJOxfR3+pw8cbiFpRVCCCHEcrKUxKwnDMM/BgjDsBaG4R8Cq85vsVpndlcmlpmuzJwCi0Hn0jc2d6z2eWJrjpPHD7WqqEIIIYRYZpb6Vubq6R+CIFgJqPNXpNbyvBg1nZgZZmb+z2lNgiEuVgDYs9JlIqc5PnqiVUUVQgghxDKzlLcy/yfwTBAEXyV9K/PNLNO1MgG8WS1m2ho6qqdQ2V2s8K6n1rAYvwo49JQtJ/PQHw23tsBCCCGEWDaW8lbmvaTJ2A7gSeCuMAz/9nwXrBWstXjumRYzZcGxCZXOF/Acj0hZ8g7E1hJPrMAxihG3irXLc1o3IYQQQlxYS2kxIwzDncDO81yWlktig+cmWGMxVuHY9JXLuqfQ+NSUoaBh0liKSZFifYzJTIPy+DCljp4Wl14IIYQQl7qljDH7gdFoJGlXZmSJrcZrvpEZO+ltqjBB0VFUEgCXfFSg4jU4ciRsXaGFEEIIsWxIYjZLox7jegnElhgHdzox89Lb1DBlCg7UIs1UqYdiIw8K9p6WxEwIIYQQ3z9JzGap1eO0xSyxxNbBtTFGKUyzxWw0k1DSikZDMVFaQVvdB+B49VQriy2EEEKIZUISs1lqtSidxyxJW8wcazCOwur0Ng12gKsUjFepZgtoPHKRx5CekhcAhBBCCPF9k8RslmotwXUTVGKIrYtnY4zWGJ1O21bLTQGgyg02HHiISrGbYj3LRCaiUh5vZdGFEEIIsQxIYjZLvRbNzGOWtpgl2FmJGdkaAOXCOkpD+2m3ZUqNHIljeeH4c4se84mTOzgycexCXYIQQgghLmGSmM1Srye4brqIeYTbTMwUDQ9iErxMugrAeO81xCu34h55imIl7cLcefTpBcfrL5/k07v/jk/v/izGymrnQgghhDg3ScxmqTcaeF6CshDbWS1mWE76YxS1wloY8zrp7N5OttRJafQUbqI5Vju94HhfOvg1rLWcqpxmx+ldLbgiIYQQQlxKJDGbJY7q6TfWEuHi2gSrHYyyHPeHKGlFPVYkE1W2fu5vuLbvSrSJKVUMo36MMWdaxQ6OH2Hn0POsmegiG3l8+cDXpNVMCCGEEOckidksSZwmZgqIrEY3W8wSZTjmD1FSmnrkkJmaAMA9fAJ19Z20T0ZUM4b/9/E/IxzZj7WWLx74J7xEs2qynTUTHZyqDbFzaHcLr04IIYQQFztJzGYxcTq4X1lLZNMxZmgHgEOZ07QpTS3WFKYmAaiGewmueS2FuADAnsoRPvfCfeweDtk/dojV4224UZ2eiQyZyOMfd9+HtZZKVKEaV2fOa63lH174En/6zF8yFVUu8FULIYQQ4mLRssQsCII/CILgU606/6KiNOHSWKLmPGY05zAbdyvpckyxJldOtzPVKuvGB1HZy6A5jVn/1Ek+9fSnydQt646dxB8/iD9xkLUjLkPJGE8NPMPvP/Wn/N73/oCTU+nEtF89/E0ePPZt9gzv42NPfJyJxuSFv3YhhBBCtNySFjF/pQVBcAfw08CXW3H+s3GaiZnC0LAORWtmJpf1gIyGSuTglxvgeRBFqBf24XT04SV7iJwEN4aKl7D1lIvJtrN2aIyhkmLVwCjHOzP8zXOfpeEacm6Wjz39//H6Na/lnw4/QE+5SE+lyL6eU/zXh3+f33j1r/Dwie9yYPwwr+67gVtXv5paXOOzT/wv9tX7ucpfx13XvpO17WupJw2OT/azIt9DyS8CkJiEgYkTdOS7KfqFVt1SIYQQQrwE6kLPWB8EQRfwT8BngVeFYfgzS9x1I3Do5z7ydU6PVucE7r37dr719DH++usvLLrjvXffzie+uIvH9gyeNf6RTz3ByPAgTkHTUR5h1BR416FvYNqK/O1dCR2NAr+0UvH5nZexs3/FzL6eibjrzl6+ceSfqZ/aCDZN5OxUG6DwSfjJ61bzjzv2Mu7lUNkqppaHyAevjr/tadrVBN7uy+k3G0DHqHwZrMLW8+RW74O+E0Qn15GMrEpPmnjgRCgFmXXPQ36KxrGAZHg16ATlxODEKAX+1h24OqY+sJFoeC0YnQ6iUwalDMXLngAvpnZqA/FoX1p+q7A2nbut/fJHUUB5YCvJZNesu6YAQ/u2x7Eoyscvx0x1ADYNATgR7VvSaUQmj16BqbY1A2mdU16Dts07sED5yFWY2twEUvk12jY9iwUmD1+DrefmxHV2itKGdP64iYPXYSN/bjw/SWldOq5vfP8NkMz9d4gujFFcm65zOvHCTem9mcUpjVBcndap8fDVzOe0D1LsO0iSOJT337gg7naepLDiCHEjw9ShaxfGu/sp9ByjUctTPXL1grjXe4x8Vz+NSonqsSsWxP0Vh8l1nqJW7qB+IlgYX3WAXNsQ1YkeGgNbFsQza0KyxTGqoytpnN64IJ5btxs/P0llZDXR4LqF8Q278LMVpobWEQ+vXhAvbHoG168zdbpZt+Ypbn0Sx0kon9xMMt67IN4ePAZA6U9DyAAAIABJREFUuf+yeXUP0Ib2y54AYPJ40Kx7szgx7VufSuPHrsBUSnPC03UPYHKxupep0rZxJwAT56nulZp1b1zq3oK41D2pe+e/7vVRP7YdrDMnvqIjyz0feC3vv+fBBfsCbO4r8eGfuems8Vdv7+WX3nk177/nQVZ05vjkh98CsAk4vOgOi2hFi9kngN8BFv5te5l6e0sUi9lzxrMZ75xxz9fUtI8hSycjWKtwrCHWGkhYoXwgYqI+9y8B1nLFuj4eOAyqmfCYWg60AeNgcXn+mUGm6MLGMdgayqtjEweVqaKMZiqvcLws1BVYB1vPp7FMha5qhcnIkmRqJImLjTJgHFAZcCOMm6A16PwEttKeFskoSDxM4mCNJvEs1ovRfn1e0RWRG6Ncg20mlOgElGF6Tt2GH6XfeI30ms7sjdIJdT+d201lalCPpkOAQjkx9en9M3WIorn3zm2ciXsNiDNzwsqrz8SVG2Fj70zS19xnZn+3MZMUn4nP21/NDSu/MXN9yomweu5fUPz6rOPHLNCM29gsGrfTcdRZ9q9R9yOMbZzz+CZZPG4zzeNnzhKfPr9fP8v+jeb+i8eTZpyz7H8mXls0HvsNknOcP/IiYjc56/Fn7v0icaWSM8/Wb0B9XtyJZtWtOrhz/+f2onVvVly5DWwy7/fHK1D36lL3pO5J3Tvr8c973fNroOzMMKTZentLKBYN4fma3t7SIpFUNuOdM74UF7TFLAiCnweuCMPwN4Mg+BngjS+1xWx4uIwx56fMj+3azVemDP9u5x9wf+UGtu99jmhFN596Y8yb6OLmzgZfOLiW0p4VvD7/NZwt3TS+dBj3Z3+U/1F/BIBizaO91smJjtNs2n0Tb7pCs2HbBp4Kj3Efj5Kf7KLSNoKTKLRx2bR/O0c2HqDhV8nUStQK46xtbGTbCZfvrDlAw7cUK5pbR7oJbrqTJ6oHOFo5zqbiBq7uupxVXp4nn/kaeypHWeV2cGXflazdfA0VGvRPDVHyC/RmOvC0Q3lymOMD+8lm8nR3riFfaEOhiEyMUhpXO2AtFqjXK2AtnpdBOy4zVdQyKzlKq66yNP/yK7D2TGVXpAE1vcOsnZv1zmJRs7MtpZh3kpntO7sKjI4u4eUIa2ed80W2E9+3zs780p6LuODk2Vyc5Lm0nuN6lDoXtpb29pYYHHxlxnlrrejuLsJF3mL2E8CqIAieAbqAYhAEHwvD8IMXuByLyrZ34k6eBKBhHRyTEDXHmHVbH2gw7hTw3BJxqZf1b/oAh+7/ECf2PQQbPDqHV7BysItCPuZUYYT6ume5/k2/h1KK5088hTPucdmeTey+YRyjLW94xnJL5yT5Oz7IHz31F4x5Y/x08D5uXnUdADd+52scOLKT17zhveTWpg2MAQubhu9a9QvcNe+zDmB178Y5n5U6V7Bq/fZX8pZdUD29JawjL0ZcbHp6S1hXnsvFSJ7NxUmeiziXC5qYhWF45/T3s1rMLoqkDCBTLOLaBIDIOmhrca1DMcnSqRyqxhK5abPyVH4LXtsKsps2M1hP5zXrPXYVbiNHfTJhS32Y8LJRDk0cZXBkjANTB9g4cg13dk4QfKeCl8vTN1pnxa//a5xsgd9+zb8hMjE590yX7IbX3cWG181PuYQQQgixXMk8ZrN4roNr0r71Oi6ONXi4/Fb/u8hoS9kaHFVB2YRxlQ7Ez2+/klOqjpO4eI0sXscpfL+OHr8ZN/H53K4v83/23kemXuD9d76TNT/2DladKtNz8CR9P/+LOPl04Ker3TlJmRBCCCF+8LRkugyAMAw/BXyqVedfjKsUrkkHC0ZGo7GY5lAl7cVMGouTTFKqDzNaTbsWk/UBR3iObMVHuw38/BhbkgHcCUt5dCtHnN2Qgfeuew/d3SWgxMqf/NfgaPLbFr5RIoQQQogfXNJiNourFZ5NE7Ok+SqLaQ56d7yIycRik0k6qqcZGmmw59kB7ntolKlijWylDcevoJSiY+9eNl2+kl99x7vxVYZN+Y28busNM+dpf/0baL/1tgt/gUIIIYS4qLWsxexi5GqF02wxM82mMqMsFoPnR5QrikRVaWtUOZpYvvWVfbRv0BgnITPVhpOp0Ftsw6tWKVx5JYVsgd+55d+Sd/OopbwlKIQQQogfaJKYzeIpjTc/McNgvRpKQTnS1NwaBSemZ2WRzdt6UFvH+e7zkK22sTnI0Td8CuW65C5Luyl7ct0tux4hhBBCXFqkK3MWVyucZlfm9FRpiTIYL13cfLLuM5VNiAs53v2zN3DDrRvonzoJFrrHYq5vbyO7Zw+5ywJ0JnO20wghhBBCLEoSs1lcrWZazOycFrN0CajJShajYbArP7PP8cl+MvUiPfURJh79Lo3+fvJXXXXhCy+EEEKIS54kZrO46kyL2fSk8JNmjKnyHgDGy+kyC6fbzyyRcXT8BJmpEn09PpXndgFQuEISMyGEEEK8dJKYzZK2mKXzmE2PMUuUIYr7iRNFZbwTgKFiun01rjIej5OttLFu+xoAnPZ2/LVrL3zhhRBCCHHJk8RsFq0Unkln/qe5XrdVCl1wKTc8knqB0lTCeC7h2MQJjk8OALDC76XzmiuAtLVM3sAUQgghxMshb2XO49m0xWy6L9MoUAWHasMhiX06xxNOrqzy35/8Y25eeT0AW3vX4/WtoutH3knp+hvOdmghhBBCiHOSxGwez8YYFLqZmFmt0AWHqJIDFKVJxdFVVcByZOwETuyxZeMalFL0vPPHWlp2IYQQQlzapCtzHt/GJMrFaS5mbhWogktUydONIlN2QaX9nGP1cbKVEmvWd7SyyEIIIYRYJiQxm8c1MXFzAXMAnVEoRzEVW9ahoN42s23N1uigm0zWO9vhhBBCCCGWTBKzeVwbESsXt9li5mbT3t7+4gAOUFeXn9lYWda1rW5BKYUQQgixHEliNo9rY2LlzHRlOpn0Fo37k5y2BuWsQFl/ZvttfRtbUUwhhBBCLEOSmM3jmogIB3e6K9NTGAsmMYzbSRKb4DbOdF1uXrumVUUVQgghxDIjidk8jomIZg3+n7Al/ts3XsNUpUA+qTCq6riNMy1mka61qqhCCCGEWGYkMZvHMRGxcmbGmE3ZArFxmBrrpRhXGNYOSp9JzEZqo60qqhBCCCGWGUnM5nGSmIZycKzBojA4AFTL3bQ3KkwZh8TPzmw/Wh9vVVGFEEIIscxIYjaPY2Mi0q5MqzVGp29l1qtdlKIKCQqsC2gUirHaWGsLLIQQQohlQ2b+n8c18cx0GVZrbLPFzFqXtqjCjw48RM/gafL1Bg+/aRUjfWcSs3otxs84slamEEIIIV4WaTGbxzExEc6ZFrNmYgYw7pXobYxSznq4sWH7oRqjzRazei3mM3/2PXY+caJVRRdCCCHEJU4Ss3lckxApF9carNIkzVvku2UOFVfzFxt+lC/fsp5Da9tYdWScsWqamB0MB2nUEw7tG2pl8YUQQghxCZPEbB7XJs0lmWa3mFlyhSEG/G7AYog5uL4DvxqRPT6IsYZ9z58G4FT/BI163NJrEEIIIcSlSRKzWay1uGZ68L/Bak1iHVxtKHmDRNojrxOsijm2ugvjaDYeq3BqdJT+o2OsXt+BMZYTR+SFACGEEEK8dJKYzWbTjsuY5uB/R5Pg4OiEDgYBcEmwOiH2s0xuWMPm43We23MQgNvu3IrraY4dlrnNhBBCCPHSSWI2WxwBzBr8r0isxtGGYlRjpRklsYCOySjDrtWb6CgbTuzdw4pVJbp6C6xZ38GxgyOtvQ4hhBBCXJIkMZvFxHUAYtucYFYrEuvgKEMmsmzWp6haD6MMl6kTlC5fjQX8qeO0XdENwLpNXUyM1RgfrbbwSoQQQghxKZLEbJaokSZTDdIlmYxWxFbj6AS/YdjinsKgsdUiFWN4bccJBno8Nhzv559p8Pk9h+ldkwfguHRnCiGEEOIlksRsliiqABDPSswS4+CohExk2ZJNx5mZcid7qopdEyc4uqpE70iZN3gxT042+MILBym2Z6Q7UwghhBAvmSRms9RqZQAi23wr01dERqMxZBqWYr5BB5OYiS5IPCaSBsd72gG47vknufWh+zmaa2Pyyk6OHx0jSQzfOvZd9o680MrLEkIIIcQlQhKzWSr16cRMp4P/fU2UaByV4CuN8h3WOqcx5Q5Mw2fKWJJigdEOn4ldO/nu1FraH32W4znN8Mos/SdG+fz++/n07r+jFtdmznN6YILBk5OtukwhhBBCXKQkMZtlrDIOpG9lus0WszjRuDZhZeRhXYeNfj8YF1PuoGItK4s++1e7JENDjHkl9k110n3oOONb2/jm4b0kNmGiMckDRx8CoDxR577/vZMv/M0zjAxOtfJyhRBCCHGRkcRslvGpdMB+bNKZ//EUkXHw44RsLo91HdZlTgFgy52UY1hZcjiwNoPCctvwM3RF4xx8oUp2tMZzegCAzdki3zz6MCPVUR7+2j7W1p5nQ7SXr37+eeo1WSVACCGEECm31QW4mIxPpInZ9DxmeIq4ptEkOO1FcKZw/QiVm8BUSkwaRbcfc6rbZdLNcG2mn625hL+MbmLi6WPk/CmcqZuo6gb+2gE+qb/IlXXY/uaTgKV91zjf+FKWt73ravYPP8vxiaO8et0dFPwCAMf3HWfk0AG23voa8kW/hXdGCCGEEBeCJGaz1KrNMWZGp12ZniKqaLRK8NrbsM4gsavQbSMkp9bz+pzHyGCEqXbw2Lq1xJUMJ/w1RInHCB5ufRXdepTTtFM+uYrRkxFJ7zBDp7eilCLXU+ZkZTf//t4T1MarYDSfy3yJQrtHHzWCjlGKhYRvPbCL4XInE8VVDCU1KrUKOd+jlMuSjxq4k0NkTAWDi8l0YIqdVLVHNY5xHE1WKXwboeoVTHUSrR10toD1ciSOR2Q1KHCtwcGgTYSN62AsyvNBuyTKwSgNKBQWbQ3KGpRNAAsorNJYNFYpUAqsRUG6nbIoS7pdc490e1CQbju9jWpuAFgF1qbHy3gO9UaMSndI9zuzafOT6U9BYZbw1NWs/774dmIh33doNJJWF0MsQp7NxUmeS+vlMz7vetOteK7T6qIsoKy1L77VxWEjcOjnPvJ1Ts+bvPXeu2/ne88N8Of371l0x3vvvp3PfG0vD+7oXxBTwCfvvp2P/d0OjvcfpttUOWJX0Fc+TaNYYDApsM07iFId7Gl0z9vTzvqeZiKSJi0ARivc0jgffMsqvvB3+9jvrsWgaWYWM4rxFK5JmPCKzaRFLdhGCCGEEK8ga0DNHdG1sa/I7/7Mzfz8Rx/ELPJv+6s3dvLB917Hz93zIItlT7dft5qfuuty3n/Pg6zozPHJD78FYBNweKnFkhazWYzymMokJLXmg1Jg0CibkHgeNKa3nP04FNlNO3BO9dAo92FRxGo6+bJE1Rxf+vYJ9nnrUBY8G2ObLUcKy61jT1LqGOBJfRtjFNEw0xoFcNP4LlbaQZ7LbuNQdt3MOafLcEP1eTrUJM/rzZz0Vyy4ptvqT9Kua3yPKxjyuhbE31h7jIJq8KhzNSNux4L4ndFjKAyP6asYd0pzYgrLndHjWOBRfTVlJz8nrjG8JXoMCzzsXEdVZ+fEXZtwZzP+z+4N1HVmTty3EW+Kn0QBD7o30lDenHjG1Hlj8jQA33T/f/buPMqSqz7w/PfeWN6eL/esfZUqVdp3CYRkkDFLY9qmMW3apntscDfH9jnd9iwe2u1pZtzuMZ72uGf6eGy33ciDjWkPNm7ABrFZgAAhENpKpSVVqj2rsnJ9mW+P7d75I15mvcyXpUICVVZKvw+HU5n5i3jvRsR9qV/+7o0btxOr1X/55E2bu5PHAfiye0en4ndeMWlyl3kSgC95d3bV4FJ9SZ3XmacA+KL3up5zMxAvcbt9hpZxeTBzW098OFrgFiZYTPJ8J3tDT3wsmuNGjjBr+ngsc01PfFs4zXXqGGeSIQ5nD/TEdwVnOKhPccKMMZHZ1xPfF57iSnWGI3Y7x/xdPfHx4Bh79DTPml2cymzviV/bfp7tzjxP2X2c9cd64jcHTzOiqzzBlUx7wz3xO9pP0u80eZTxdfvePcEj5HTMd9XVVNxyT/yt0beBtG9VneKqmMLyluhhAL6lb+jte9bwY/F3APiGcxPNdfrej8bfBeBrzs0X7HsAX5W+1xOXvid9b9P3PbuL45ne+OVg01XM5ufrGPPKtPnbD/0Vo9kj/P63bucXn/w40/fu5E9PvYmD7rP84s++gfqhP+fQYoPPjJRoPfYmAAYzEfntX2M4N8i/fPtvrLzWn332I3wvNw9PvZE48djbnOGW2Sf4+rtc9pxV3FjYz6f0s+T7Xd71XY0XLmHKOezEEoPveDelu69j8cwXCFvTFAZvoG/0Dlx3gNmvPcjSocP033IzQ3fehs5ksNZi4ibazaO6Km1JrYbO51HO5VeqfTlGRkrMzsoyI5cbuS6XL7k2lye5LpevH+a10VoxNFQEqZi9fL6fwyHBMemdkqYz9myVwS2WsI4mWE58jAvG4Y4dz3CikVAbXP1Xx9lBGJuMuKPxHJPJPl5/5gEKt1+PLi3wV9vbfI/n2eX6/OyWg2z9lZ/m9O//P0SnzrLrf/h1snvTvwLGDnwAsKiuv3hG33wvo2++d9V7KaVwvELP8TilUs/PhBBCCHH5ksSsSzZbREcWJ0knZRqdJmbaxoSxA44i8DrVJ6PR5Vl2RovMNxOOqZVxTqIk4mxY4camZWx2kq3FJXQ+x5b3fgB/9vM8Ex4iRvMT/cNs3fceHDfD7l/9VYBVFa/0a5lrJoQQQrxWSGLWpVjog0VwkrRiFuu0UuUQMzkf0K81ge/iAQf6T/PcruM4zwYUfWgkLcIkxHd8TtfPkGDZNdBHpnkamhWG3/fPcEolBjJv452144BlbP97cdwcsDohE0IIIcRrkyww2yWfSyd5OqZTMetMqtTE1FukQ5m+g6fg3VcZ/FxI5lydPj89jZUgfXLAscWTAOw/eA0qkyWzew/le94IgOuXGdn/M4xe8U/xc72TWoUQQgjx2iUVsy6en6PF+YqZIU3MHBKqLcM2nQ5leonFCQyD2RzZyhTlfHrXT6W9yFh+hGOVI5S1YmTkKtxfuxO3XEbp8zlwtnh53gkihBBCiI0liVkXx01va16umCVqOTEzVBsJJq8JHY0fxNh6yK52OvzY1+8Blkp7EYDjtdNsdxwyhR14Q723cgshhBBCrEeGMru4nfleK5P/V4YyE+rNEByH0IIXGUy9zZb5GAsMbEuHJCvBIpX2ItWoxQ4/i5sZWvd9hBBCCCHWI4lZF9fLYC3pczJJF5eFdCiz2QzAdYmsxY0TTK3F4GyTpbJHvn8rRe1QaS9ybCmdX7antE0m9AshhBDiJZHErIvruiRGnV/HzHYqZiqh0QwAiIzBN2CqDUpTVc4OuXiZYUrKstBe5NjiUVxg18CVG3UYQgghhNikZI5ZF6VUJzFLH4eUdFXMWu022ITIWDws0dkZ3Cjm3FCJ2O+npBWV9gLNcIktriYvE/yFEEII8RJJYraGMer8chn2/ByzjEon9kcWMoCN0qra1LBL28lR0prjwRLGJtziu/j53ue/CSGEEEK8GEnM1khsJzHTkJjlipmh7FWA9DnmfucB4tbzmC+7NPHo05rIpMOdu/JDaMffkPYLIYQQYvOSOWZrJInCsQY8TWTOV8xGC3USC5GCTCcxc3Zux2pFPW4xkDn/XMp9/Xs3pO1CCCGE2NwkMVsjNE56V6aviRKNoyxKwUiuShsXqxSZNC8jt28/ANWwzkA2Xa+srBXD5f0b1XwhhBBCbGKSmK2RJA6uTcBTxEbjqjQL83VM1aTLX2SwOH199N94K1ppamGd4cJWALY5DpnCzg1rvxBCCCE2L5ljtkacODg2wmRdokTjdZYiiyPDYpImaRlj2P97vw9Aca5ALawzMHAVu12Ha3JFHL9/o5ovhBBCiE1MErM1YuPg2jbGd9OKmbbsyFxFFJ5iofMMTb+ToAGU/CK1qEYmN8p7Szly5f2ysKwQQgghXhYZylwjNhrHGmzG6VTMFNcU7yITbKOeRAD4iSFZbGOtpc8vUQ3reJkhHK+PXPnABh+BEEIIITYrSczWiI3GtQm2UzHz6Mwri/tpkVbMikmZ2mcmiI4vphWzsI7SDtuv/RWKQzdtZPOFEEIIsYlJYrZGOscswfoOUeLgq/QU5ekntOkQZtGmk/vj2SYlr0gtrGGtveBrCiGEEEJ8PyQxWyOKO+uY+ZrYaDKdU1RkYCUxy9odACQLLUp+kcjEtOI2C6c/T9CY3LC2CyGEEGJzk8n/a0SJJm8T8B2itsZDU08qFHQ/NnFQNsEnfdxSstCiz0sXlq21ZgnmvgdYMoUdG3gEQgghhNispGK2RrS8jpmviTuT/xeSKZRS9If9bIsGUCqDM+RAbOiP8gDUW7MAhK3pjWy+EEIIITYxqZitEcUaxyaoziOZlGMIbQuAkXCAEeMB4O2CZB76mhkA2u15PCBqTWOtlSUzhBBCCPGSScVsjThWuJ1nZcaJBp1gsUQmYLQ9wL5gDMw8uhiCVuRq6SkMw0UArImIw8pGHoIQQgghNilJzNaI4vSuTDfjERtNomM8laWWLLAlGmBPMIqyp1BJG6c/i7MYo1Ak4RLZyQWcZkAkw5lCCCGEeBkkMVsjitM5Zq7nEhlN7IRpYhYvMBL341sXZU5jozbOUA6z0Kbg5vHrFXJTi2TPLhK2zm30YQghhBBiE5LErIsxprOOmQEnPTXWifHJUEvm8XCxWDCTEAU4gzlskLBFD1FYXADAW2oR1c5s5GEIIYQQYpOSxKxLkiQrC8yazsKyShk8laEWp4nXkltHEaQVs8EcALvjUQrVOlYplDGYs0dWXvPPn/kk3zrznUt/MEIIIYTYdCQx67KcmGX8AlHnpkqlDb7KUk8WsdbS1gHWcdLEbCALwJagTK7WxG7djc3mcWdmMXGbpaDKw+e+x+dPfAVjzQYemRBCCCE2A0nMuiRJTJI45EpjRMuJlE4rZoaEyAZoFDgORAHKc9DlDFsbWXRsUGN70DuvwVtqElRP8txCWjlbDJZ4vnJ0A49MCCGEEJuBJGZdkiQhSRwyfWNEy8++1Amu8gFomwaFJLdSMQNwBnOUmmnljC1X4B24G2UhPv4dnl04QtErkHNzPDz1vY04JCGEEEJsIrLAbJckScAo/P4tRGY+/aFKUErhKo8lW2FnMoR1c6sSM/d4lsQvEhaGKPaP0/Y97MmneW60wN3ujZicwwOz36YVt8i5uQ08QiGEEEJczqRi1iVJEjJYdLFMbDqnRicAeCrDrO2sT6ZGIA4AcAbTalmS384jJyos1AKSsa3o+Rky9ZDXH9nNXcd3Eycxj80cAiAKFogDWYRWCCGEEKtJYtYlDEK2eR7KMURJ59Q4aWLmqgwzJk3MLEMrFTOl0gQrccf49HdP8tG/exa18yDKWt62uA9tFU7V8KboBh6eehRrLbNHP8H0kY9hkuDSH6QQQgghLluSmHVpNkO2eh5GhcTGAcCuVMx8anaJtg7ADkInMTNzE2CXSOwIeCETpxc5yw6SjM+B4CDu9hLOSJ67KweZrEwyvfA0cbBAElVZmvrayntHJqYVty75MQshhBDi8rEhc8zGx8c/DPzjzrefm5iY+LWNaMda9UbI1kyGODh9vmKmYwAcDxxjaaiQTLIFY9PELDn7LKhd6HCE8eI5ZgPN5x6v8/7CdbiNPP7+PLpQIrn/Be6uXc3ZMw+y6/gSrtdHLXqI/OB1qMwwX/3S58g3HPpft5frtl+3UadACCGEEBvoklfMxsfH3wy8BbgJuBG4ZXx8/F2Xuh3rWaq3GfN94mBmZY7ZcsVM+QlubGl6dTBFTHOJ8IWHiaYqGKeAHxb5hfbtfKhQ5p6wDxXcCGYeU3sKZziLt7vMPbWr2f24wam9F7vwDygdHqX60J/w7Qe+zB0z+7iusZvSV2t85fEvkZiE6vHHmHv4c7Qqx1fa2KxUmTz0PK1qY0POkRBCCCFeOcouLwtxiYyPj18DlCYmJh7ufP/7wJGJiYn/+yK77gGOf+C3vsRMZfWQ330fupdvPnmG++6fWHfH+z50L/d97mm++dT6Dxe/70P38jsff5QTZ5bY4bns6DtGfjji/uf2Uxo5y4fda/l06yscXtpFrIYZc10mw4gQy7jv88+H+jgZxHy21qRlDHmt0QoSC3dmq9xRPMHfLF7Bk0GGyFoCm2bEvlL8RCnHbYUch1ptHmi0SSwknW1Ca3lbMc/riw6frTZ4tm1xlEIDFjDW8p6yw85MyKcqDhOhRXfiGtAKfn4gy6Cb8LlqwuG2wVpAgUr/4ZeGNUWt+dsly3NBwnJvWP7310YtKMVfVzTHw9WL5DoK/vvRdOP/WtFMRqvjGaX4lyPp13+2oJiOV8cLWvFLw+nXfzqvmEtWx8ta8S868T+egyWzuq8OOZr3D6U/+4M5aKyJj7mafzaY/uw/zUKwpq/v8DT/ZCD92e/NWpI1H4U9vuY9/ekP/8NM7+fkSt/hJ/sNdWP5w7meMFdnNO8oW2Zj+H8Xeve/MevwY32G0wH85VJv/Lac5o0ly5G24tPV3gWK78o7vL5oONxS3F/rjd9b0NxSsDzaUDzQ6I2/vaS5Nmd5qK75VjPpif9kn+bKrOFrNc0jrd7931tW7MxYvlx1eKLdu//PDSpGXMvnljTPBL37/+IwFDV8etHhSNi7//80mv77V4uaE+v1vU7funDfS8/pny3oC/S9NH7fvGZ+3b6Xxv94Tl2g76X7/MGcukDfS+P/aVZdoO+l8d+b5QJ9L43/hxl6pH0voW54kb5nmI3Vi/S9hNOBepG+ZzjS1i/S9xIOt/SL9D3Dow39In3P8FDdeW32vRELVvreRva9b9Q1n6vFrN1i+3Cef/cLd/KB33mA9dKj8R1l/uf33cJiwdByAAAgAElEQVT7P/JAbxB4w3VjvP8d1/D+jzzA6ECOj/7GWwD2AifW3WEdl3woc2Ji4unlr8fHx68kHdK86wd5zZGREqVS9kXjuaz/onHf12jSZMfV5+eYNXWLL5cfIwotCgg7C89mtCI0lmbSAIp4WjGfJNSMIZOkyVlGwbA3imUnN+YjzibNnvfe5ntgY0JTJzQOrlLktKbQefLAlVkPhcMVfp7TYYsYi7HpLwetNGUnj0sfB7IBcyYdXrW2k7hhySoXx2YZdQL6dO/NBllKOFYx6LYpROd7YeftcSmDhRG3yWwcrdrXUwrX9gEw7DZZTFbH81rhshxv0DDxqnjZ0biUABh067TXfAgGXQeX4ko8iVf/Ah3qivc7NdSaj9iw6+JS6LxXleaaX2AjrodLHoA+XT2/dl3HaFe8qJdYa9TzcMmRw1DUtZ74mJvBJUtRJRR1vXd/18clS9mJKereCuiYm8Ulw8AF4iNuFhefISeiqHv71oibw8VnxA0p6t75i0NOHhfvgvEBp4CLy5gbUNTtnni5Ex912xTX6VtFVcTFYcxtcyrqjeco4aIZ9VpMxb2/AV3KAIy6TebW63udvjXyA/a9IbdO8LL6Xtq+jet7fdL3Nmvfs9L3NrrvbXFDfFXr+e8OpDmB4nyBopvva0ZGSutEUrms/6Lx78clr5gt61TOPgd8eGJi4mPfxy57gOPz83WMeWXavPDY/Xz6s6f5kcHDfGvrTXzt6G7yt36JW5t72MZJKi80yN0wxN2TP46On0QnD2Kc6zHuvVhliPon0ddvwf26T+S0ybb+msQa6uo9lJxZEnMUx30DhiaBmSKnrwS7gNWHUfYOUAUsEWHxMHGUJx9ciUKTELPkT4OzSC7ux0+GCZ0F2v4CoQYV95ONCrTdkNhponSAnyi8OEOiY2InJnYMFhdlPIwGRYSyBo1FJxqFInFijEpraRYFSoG1ne8sK59/pbDKptugUNZitQLbqcRZw3KvtoqV11Ms79N5veV9O9uwEj9PrUQUjqMwicGuu12nFLiKXYl0v17vNhdzoY/oy93ulXjNV6qNF+c4miTp/ctUbDy5NpcnuS4bz/o+4297B47jrfr5yEiJ2dnehPPl0FoxNFSEy71iBjA+Pn4X8CngVyYmJv5yI9qwntLwdqw9BZ4mNhqllitTCuXlgQZepFA2wOoRTJLDOrdgvSYNt4nf6qd6zGUQSzD8ALlTc2j3x8jpHN9o5bnmljrFM4fxqzeT1QVaTpPyj99M2PJpPfs8OioSDh6lvPdH6Ru5lfZ0leaZCgNXb2com14qkwSEzSkG8jeinQtXAV+NfpgfGPHDI9fl8iXX5vIk10W8mI2Y/L8T+DTwM5dTUgags0WwBuUposRBaXCsShOzbFoaLrX7wDbTRWbdNwB9xMVvYHKL+O0SpZOKqbhNfvE0sePydZ3jd2cX2X/zE7iepfCmu1n0mtTcmNw7riY/MER5692o7RHhlucZOvAT9I3cCkB2rI/Bm3ejs+fzZ+1kyJb2vOaSMiGEEOK1YCMqZv8jkAV+b3x8fPlnfzQxMfFHG9CWVZSfQ1kLniZMHJSj0GgSEqyfPkpJJQnGP4mOb8U614JzCH/xBaIdg6gFja/h9Mgpdp5t0do+QDk3ww0jJYp+Ey87SqH/CpJ3juBoh0IhnUeglGb0ivdhkgA307+Rp0AIIYQQG2gjJv//K+BfXer3/b50J2ahRmvQVpMoQ1xPi4uRU8e4DXR8K6gF7N4l3KcjtElvX5n05rlKnwDHIxgpsy+zyH59CBPDwM63A9BXKve8tXZzaHmOphBCCPGaJiv/d1F+HmXSoczYOKAVCoVKHKJmOhHaEqLUDCp+DH/nNOFQkVi5+Atnmcic5sHSYwycPYJ34A34/XuxJsTEDbRXIlPYtcFHKIQQQojLmSRm3RwPbQ14msholKNxrMYApj8ddtSJAQzaPIg/fgOVxYjZzFa8xQafHfwqVybTKBPjX/dWCkM3rrx0afgWlPr+7nITQgghxGuTJGZdlEqXb1C+7kz+V2gUgW5jtxZINNjYpEs8lIfRW8Y59NQo9YF+FHDnYoubK0s4u25E928hk9+28tr5gWs37sCEEEIIsSlIYraGsgY8RWQ01lFoq4lVSGhCEgdMYlCJAdfj2HNTzM/3kxmKCfuH+JHFJn4U4l//NgDc7BBKufj57XiZwQ0+MiGEEEJc7iQxW8PpDGXGRqN0uvBqbBOCuE3iKOLYQmww2uHbXz1BX6lGIRtg912LAvTwHpyt6d2mSmkGdr6DgR1v2diDEkIIIcSmsCELzF7OlDUoTxMnOh3KtC6GhCAJcFxFEhtQlkrNo16LueuO59EKsntvwqmGeON3r5pLVhy6YQOPRgghhBCbiSRma+jOUGZs0mX/tXKJCQmTkEynYqa1Ya6eYfc+l/7+9Flgfm4U/94PbnDrhRBCCLGZyVDmGtrGqypm4BKTECYhOBBHFmUMc9khrr4mZPmxnW5meEPbLYQQQojNTxKzNTwnfbBsOsdM4eCkc8xMCJ2hzKrXxzduuIdTypIYTWSL8ogkIYQQQvzAJDFbw3cN1kKSKJSjUMolwRAmUZqYJbDklUApzgVgLeDJHZdCCCGE+MHJHLM1XNeQWAeLQmmFxcVgCU2MdtNJ/XU3faD5YuLiOga/MLqRTRZCCCHEq4RUzNZwHUOcpKdFaYWyDkbRScwcABad9CkAc1EBraDUt2XD2iuEEEKIVw9JzNbwXENkOomZo7DKwWIJTQKOB0CtUzFr6ALWgp8b2bD2CiGEEOLVQxKzNVzXrlTM0ApIK2aRNQRhHoBGJzGz2qFBDi8jiZkQQgghfnCSmK3huPZ8xUxrwCHR6ZoYzWY6hNlycivbL9hBtJu95O0UQgghxKuPJGZruN75iplyFBaH2EkTs3aQJmRtN4tOYgAWlUz8F0IIIcQPhyRmXYwxuK4lMukk//SuTIflkU1sBoDAyZEJ6iiTUFVDG9RaIYQQQrzaSGLWJYoN2mNVxQzlYDtnqVzQKAWRm8GJQ7ywxUKS38AWCyGEEOLVRBKzLnFscFwIo3S9suWK2bKxEYWnNZGbxUli/LBFJfbO7x8FWGsuebuFEEII8eogiVmXKDI4HoTh+XXMUOcTs+1bHVxHEbtZXBPih03a2sNYSxyF/O2ffJgXnvjmRjVfCCGEEJucJGZdwihBeYoo7pwWZ3XFrJTPot0MVmtyBPhhE6sUi2HM0txZwnaTqRPPblDrhRBCCLHZySOZusRxgnYhCtNkzNWG7tw16+awXnoDQIaQTBIBMNcKUNOnAZifOo61BqUk5xVCCCHESyPZQ5cwjFG+JuxM/ncdg+5KsDJed2IWUE7aAJxaalGZSROzsN2kVpm9xC0XQgghxKuBJGZdoiBcNZTpatNZZDaVdfIkjp9+TUAhAZ3ETFZbVKZPU+gbBGDu7LFL33ghhBBCbHqSmHVJWiF4mijRKCyOSlBdk/8zXgGj08QsExvcqIwXtphtBizNT7Fz/Gb8bJ65s8c36hCEEEIIsYlJYtal3WqiPE2caBxl8JRFqc7SGRbCOCTuDGX6icFxSvhhk3oSYY1hcGwnQ1v3Mi+JmRBCCCFeBknMusSNBniKyDi42uCQrCyXoa3mhamjhG4OrCGjmni5An7YInJdjNIMjO1ieNteqgvTBK3GBh+NEEIIITYbScy6RO3GylCmo5YTs/QUOUZx9vhZQi+PEwe4KiRf7sMPm6AUtm+MQt8gw9v2AjA/dQKAr5yZ5+lKfYOOSAghhBCbiSRmXeJmE+UoQqNxSdLErDP531MKFgMCN4cbtVGE9A0PkAlbAKiRvSilGNyyC6U081PHWQojHji7wH87eo7IyBMBhBBCCPHiJDHrYuImALHVuMrgKoPtVMwyjiVjDIGbw4laQEDfaIFSkK5l1iqMUJn8EnH7LP2j25k7e5xDczUAmtby6Fx15X0Wpk+tLK8hhBBCCLFMErMuNkqrX5FJEzOHZCUxyzng2YTQzeHGbTAJ5X6XfBjgRC1iL6I2+zAzL/wF5YES81MneeLcIgPtiC3NiK+emic2liSJ+can/5ivf+oPCFoyxCmEEEKI8yQx62I7C8ZG9vxQpu2cIg9QoUfgZnGiNjYxuCpAmTqZ1iLtTAGTfStubieePk1be0wlCW51ktLcUWrW8MR8lcnnn6DdqBK0Gjzx9U9v4NEKIYQQ4nIjiVk3k1bMYut0EjOD6VTMXAtO5KSJWdzGmoTa3PdQzgyZ1hIzyTD3f6bNN755FcM7rmFxeD8AxdoMujHFQCvga2cWeO7xBykNjHLw9h/jxDPf5dzJCQBeOLfEw0dmNua4hRBCCHFZkMSsiyKdL7aqYraSmFkc5WC0ixsHJImlNvNtonaMHzYwnovTP0s9Osl3Dg1QHT1ArrVAJmwSJj7luWMsRDHHE58rb7yHa+58G8X+Eb73lb/kRKXKx09M89nFJe77zlHaSYK1hie/8Vnu/9hvc/r5x7HWbuSpEUIIIcQlIA8x76JUmpjFVuPpGMcmJMvLZVjwS52Hm8chibFky9cStR/E69yZGfbFlJMGVZrUi69ny+nvUchGHBxZ5JnTIbnmVmZ23caZc0WOnzzCtgNv5cnD93Pfc6fxsGxfnOVoeTu/98hRrl86ROPpB8kVyjz0d3/K8PZ9jN3+Tr5zJmIew6DV3LxnhL19mvkTh5k7c5xi/zADYzvpG9lBVWWZnK0yWMoyVMpTdBVxq0arvoTSDn42j+dnwcvQTCxaQUZrPA02SUjiCLAo7aC1g1KaRCksCg1oLAqw1mBt10K8SmOxmM52SgEXyynVmu8vsH2SxJgkeamXVbzC5LpcvuTaXJ7kulwGFGjtXHy7DaA2USVmD3D8A7/1JWYqrVWB+z50Lw8fnuKP/+7ZdXe870P38vEvPscDj5/tiSngox+6l//4l4+za+nr3HZ7ld/84usxKPy8prB/gHbuE/gnDlCd24fbl8E22pgowaA5oJ9haFuW57fdxcLjM9jIoH0HJ+9hqw1GvCrvvPUYXz60i9PtEVQhS9wIsZEBrRi5cYBs3hI9eYJztTLKUbgFD7TCtGPcpM0VuxucU1upzlqwFpsYlKNBKfqv7qcUzVObbLO45IOj0/93sp2B64bQvkPzbJ3WmTosX2+lQCkGbxpBOZrmZI3WdOe8Wruy3eiN/RjtUp9s0p5rrz53Goav60dZw9KpFkEl7Lxt+t7a0wxcNwTWUDtaJVwKz590wMm49F87BNZSfX6RqN6J23QbN+dSvqoflGLpuUXiZrTq/b2iR/nKMhZYfKZCEqz+Ref3+ZT29wFQObyAiVYvWZIZyFDcUwJg4cl5rFn9WcgOZSnsKgIw//hcT9/JjebIby9gE8PCoYXe+JY8+a15TJhQebrSE89vK5Aby5G0Exaf7Y0XdhbJDmeJmzFLE4s98eLuEpnBDFEtovrCUk+8tK8Pv+wTLoXUjlV74n1XlPFKHsFCQP1krSdeHu/Hzbu059o0TvfeqNJ/cAAn69CabtE827ug8sA1A2nfm2rSOtfsiQ9eP5j2vTMNWjOtnvjQTcMANE7Vac+v7XuKwRuGAKifqBFUglVx7WkGrk2fXVs7WiWshqviTsah/+oBAKpHlojqq/vWSt+DtO+14lVxr+jRd2UZkL4nfU/63qr4Jul74XyLytMV7Jr8eM+WIv/2527nF/6PB1hvlavr9gzwq++9iQ985IF1awj33rSN9731Kt7/kQcYHcjx0d94C8Be4MQ6m69LKmZdDte3suv5GqarhLM8lIlZWWs2rRBxvtCTidMrq3RaLdK+g00MGEsUx3wrW6TVDCGJsYnBybrESYRX9AHFvqc+w6nmFqCMTiJsNYJ8Fp31KI2PMF/0MZOLmGYdFYVg09zFOg6l6UXM6CjhQB80atjEYqMYEgPGsHXiQdxChuON7djY65SwAJu2b+j0YbK2ybGFEUwrk4Y7SRtAuXIaZRLqlQKmdf68KAVoxcD8cazSLNXy2K7fTxaLChXD554BFNVaHzZYXRqzcczI2acBWKqVe+MmZnh6ArAs1srYaE3cxgxNnwOg0ihjV//+whIxPD0FwEKz3PMBZClieDpN1udbZXr+RlmqMTx9BoC5dpm1VGWJYXeSOFHMt/t64k6lwrA+TTvULLRLPXG3Ms8wDRqBR6Wd74l787MMJ01qLZ/Fdq4n7s/NMBw1WWxkWGpne+LZuSkG220W6lmq7UxPPDd7hv5mwOxSHtv2euKFmdOUciHTi+vHizMnKWQipioFbLv3V0nf9DGyvuFMpYht9/5lOjD9Aq5jOV0pYdu9syrSaw+NpT5se01ZVZ2P19eJ2+h8vFpdJx7HK/G0761+eWsihqenAVhs9GHD3r43LH1P+p70vZ74pul7i1ls0tu3LgebrmI2P1/HmFeuzX/42V/jkWffwuuyJ+m/s5/H9fUs1T7KLYFlb7CfL29/E1cf+juc2hmsX0QHS3gDN/LkgVvJxS6/fOd+PvLkcXacm2HwyCdJnCvJ9t9BOPdJrJdnYdctnN1+EG0NnoWdx76HX5/Fqx1Daw+lNVff/R4ePXSSasmhmS9Trs6SbVoOXHeQ8d1jVKZOMLrzCtxsibPnZjh8+AWC6jxupsjQ1jH27x6lr6+PXC6PMQlhGBKGIbV6k5n5Gr7v0F/KU8hncBwX101/sRljMCbBGEMYpZ92z02HMZVSaJ2mo2mfsZ3rYLuGMlUnp1tOW23nQ297Pvyqq7J2XrqRtefzx87WAAwM5KlUmj3bi401MFCgUpFHkF2O5NpcnuS6bDzHcSmX+3t+PjJSYna2t4r7cmitGBoqglTMfjDGWrAaT4Gyy3VMB53EtEn/8vJjQ0KC68bU4xyjZMmEbRoqz+FKekGH6rNYtwDRHPX558mqgMyeNxNXTlMZ3Q9+hp0vPIobhNz8o+9l4fDfsTB1krvf9UEGRnew66qb+Nh//TaD0zVye67l3e86SMZL339geOtKe/ft2cW+Pbte5IhcfD/9q2FwcIjdL7bpZW5kpIRSP5wPjPjhkety+ZJrc3mS6yJejCRmayQ2LWv7WJQx4IBSLq5NaGsfAC+BxCYkjSraXIGyHl7YoFYo8O3JCrYREYdzeP4Q2kwy0H8KxRi3/8g9fOGT97Pt+CPklY+JWjSK13D1vi2YPe/HWoPjpJekmPN4/8++nvmlNjtGixt2PoQQQghx6chyGWvENq1KZbRCd1XMHKMJHB+dRLjKQ1vQFpJkEGMzeGED7TvMJTEj9RaJMmQGdqfrnS1MceVN9zBUzrFU2EkuTkiiBueqO3jnm64DQGu9kpQty2VcScqEEEKI1xBJzNZITDqfyUOlFTNA4UBIurhsEqOtv7K9nx9FuVn85YeZK8X+aAksbB2/IX2tTI7dB28H4KYbdhLUdxHW9zJ85W62DhUu5eEJIYQQ4jImidkaSWceWQaV3rkIgIPXSmi7OZwkwnXSOVvWuoxffyU6U8AP00npTmhQjVmyNseBK3axbd81HLztzXideV43HxjhkcDnuy2Xf3jX3kt+fEIIIYS4fMkcszViszyU6dDuVMz6X9hLJpyh2UnMMn4eGhDbfg7esJWHG028uRaOMdw5VqbyQhXfDFMu+Nz9kx9c9foZz+Fn3nwARysGSr238gohhBDitUsSszWMTYcyM0qzvEBMovKYMKTl5HCiFoV8CSqQ79tCqZwlP1jEn1HcszDJwbLHA8pi/P6V1fDXesP1W9f9uRBCCCFe22Qoc424M5TpKAeVpBWzRPt4yhJ0Kmb9g8NYNFdcdz0AfcMFcmSI6kucm5wEC9mR0Q07BiGEEEJsTlIxW8N0hjJd5aFN+igQ67popYgcHyeO6B8b5h/90v+On01XLR4s53BthlbQZHpumgI5tuwc2rBjEEIIIcTmJBWzNZLOchlauajOQ2adBHSu2Pk6IpPNrCRlAIOlDBiPlmlTCRfRcZHdY72PohBCCCGEeDGSmHWx1pKY5VPioUyamLmexsunD511koj2k49z4t/+Ou0TJ4B0vbHE+BgMBksjyjM20PsMMCGEEEKIFyOJWTcLiV0e3fXQnTlm2lXYzs+9OKH51OOEZ8/SOPTEyq6Jk115jSDX33mupBBCCCHE908Ss27WYjoVM2M8HLP8IG9ot9NNsolh6wc/iDe2hfbpUyu7qkxaIesjT3a079K2WwghhBCvCpKYdbGJwXTmmCXGQXfmmGnfwexIF4PNJha3v0Rm5y7C06dX9nWLxfRuTFNk+xZJzIQQQgjx0kli1sXa85P/Y+Oh47Ri5riawMsBaWKGY+FaiIIKSbMBQGagwJ2ME7VG2Dkmz7cUQgghxEsniVmXxFiscXCBGJU+qJwErS0to9AmJms1QXyGuDCHM14kmJwEoDyQ45Gqz7dbMTtGJDETQgghxEsniVmXxBiU8fCUIjKgjMLBoLQiUBonjvBwaTVOAKC3ZQlOpfPMBss5/r7RQvVlyHjOBh6FEEIIITYrScy6RLFFGRdPQWQtCo1DgtIQaBcniXCsorV0HAC9NUd78iQAg33pcy93jkq1TAghhBAvjyRmXaIkRhkPXylCa1HKwSUBBwLHRycxDpYknMHxyihXEVbTGwD6ixn6iz5X7xnc4KMQQgghxGYlj2Tq0o5jMA6eUhiVPi/TIQGlCRwXJwjIZtsoZegbvZPKmS+SeFVsHOO6Lv/nL9+10YcghBBCiE1MKmZdWmHYGcpU6KyL63idOWYQuJn0cUyF9C7MXP9BtC2gtviE56aw1jLx6FepVWY2+CiEEEIIsVlJYtal1W52KmbgZV0cx0OTYLQmcLI4SYRfqBO0E6z1yOR2oLdmaZ8+SdCq8+SDn+aFJ7+50YchhBBCiE1KErMuUdAEo/GUwst7uK6HYxMixwOlOolZi9pSRGVmktzIVaiMQ3v6BWoLaaVscWZyg49CCCGEEJuVJGZd2mEdazUeCq/o43g+2hraOr3jMkeA48dUF2MqM6fJ9u0BIAzOUq1MA1CZncRas1GHIIQQQohNTBKzLlEUYIzGVZAr+LheBo0h0j4AJa8FQBD6LJw7jeuXIXBIMnVq82liFocBjaX5DTsGIYQQQmxekph1CeMAazSOsuSKGRw/g7bJSnwg08TECu32U5lJl8nwGESNejSmTqGd9CbXigxnCiGEEOJlkMSsi4nbJFbhKEO+4ONmcuiuYcmhTIOw7pEvDlCrzBAGLTJ9e1E5Byrn2LJ7HKU0i7NnNvAohBBCCLFZSWLWJY4DEgtaWfIFDzeTQ3UlZgOZJu2qxs8VAHj8a3/DfCOtqPnZkL7BMfoGx6RiJoQQQoiXRRKzLkkUkFiFxpIv+ri5wkpipm2Cr2KaVfD8HAOjOzj13KM89o0vEgYJemuG5773AK6fZXFGKmZCCCGEeOlk5f8ucRwBoJUhl/cJs/mVoUzfhAC0Wy5eHPCW9/0a1hrajRpnvvEfGehzKQ2MUF04RxS0aDdrZPOlDTsWIYQQQmw+UjHrEkYxABqL5zt4+SLKpIlZVgW0WhlwXcJ2EwClNLliGdo53LzL1bfcRRSkd27KemZCCCGEeKkkMesSx+l8MaXSZMzJnh/KzOmAdiOPzpxPzJY12h4AfU5EsX8EgIXp05eq2UIIIYR4lZDErEucdBIz0n89PwOdillOBUTNEk7GJ1iTmFWCCNtOCGrHuerWewE4d2rigu/zzHe+yLPf/fIrcQhCCCGE2MQkMeuSdG7A1J2Kmeu6KxWzDCFxo4SbyxC2G6v2W2xWSM4FxCyw++BtaO2wcO4k1sS0qkeJw6WVbaMw4JnvfInDD32eRnXh0hyYEEIIITYFScy6qLhzOrRN/9EalaRfuybESXJ4udyqocyg1SBoNzE1F5uJwbbYuX8Hu/f5nD70u8we/QumnvvPtKpHAZg6dpgkjjAm4dlHvnJpD1AIIYQQlzVJzLqZ9CZVpZfnmimUSb+2QYLn+vjZPFHQwnSGOGuV9OHljh4CYOrZP2DbjgbDoz71Jcgs7EEnHrNHP0Ft9rucev4xMvkSe699HccPf5tmrXKpj1IIIYQQl6kNSczGx8d/Znx8/Jnx8fEj4+Pjv7wRbViPTRwAdKdiBqA7CVgcJPiuh59NF5ddvvtyOTHLbRknmWzhe9vIJtfz3BemOfzIGeY++VUaf3wIXc1SmfwCGec4JomYOTWBMYZnH/n7C7Zn5vQRnvj6p4nC4BU5XiGEEEJcXi75Ombj4+PbgX8P3AIEwEPj4+NfnZiYeOZSt2Ut26mYOV1nJe7kREHd4rs+XjYNhu0GmVyB2sI0WjuUD1xN9Tc/SS1fxTQbbMk5VPd4RD/1dkaXYO7jnyd4yxbGrshTKFnOnDIkkWJy4iGuvOE28qUBtJNBOxkAqvPn+OZn/oQobHPu5HO84Sf+OcXy0AXbHgYt/EzulTkxQgghhLgkNmKB2TcDD0xMTCwAjI+P/zXwU8BvbkBbVrG2k5j55wuJXivASSJUq41f9PGyWYCVeWbVygyF/mGy23bgjY7hlEr0v+leHjv1PbzZMxw/8hijb/unHJl9ktapKnvnA7bcPsj4NQoYBGDx1MdYXH7DWGFjl1qtyc7dLokdIGxWeOxvf4exkf0M5EfQkUX5PmRcao1Fzk29QL22gJfJ09+/ncGhHeRz/bjGAQeMgtiE1GvzNOsVtOOSzZfJZYp42SKOTY/XAoaYOGwRhC3A4roZXCeD43k4ygUUBosxMcbE2CTGWoPSGqUdtHLTf7WDMQlgMMZiicFYUAqlNKBRWqHQgE3/Z226DRZQ6flQClQ6rBwUM9RqbexyQXP5C5Vuqzi/2/LxcL74eT7WtQ1rt7kAtXYfsSIoZqnV2xvdDLEOuTaXJ7kuG8/1c5SvvgV1Gf5yV9Z+H/9V+iEaHx//10BhYmLiNzrf/wJw+8TExL+4yK57gN4PoFAAAA/6SURBVOMf+K0vMVNprfxwsJThd3/5Lqbm6vyb//Ldnp3GBnL89gdfx6Gjc/xff3WoJ75ztMD/9v47ePCJM3zqy09RS3xyKqJl07XJbus/QyHfohl7nFjYzUwM3YnDFr/CP9i/wMn8Pfz9o92PYkoTjIPOIXY5J5hUB3kmuBIseNrgu+nctXuyTzHcP8uxYCeHl/bjOAZXWxxtcLTlJ659geFCi4mZQR46sb2n/f/ougnKuZDDU8M8cnprT/wf3/gsBT/m8TOjPHFmrCf+s7c8je8YvntqC0+fG+mJ//ztTwHwrePbeX52cFXMcxLed0ta6Pz60Z0cm+9fFc97ET9903MAfOX53Zxe7FsV78sGvPv65wG4/9m9nKsVV8WHCi3+4TUvAPDZp69gvrG6IrilVOftB48D8KlDB6i2M6viO/urvPnASQD+v8evohl5q+L7hhb5kf3penMff/Rqos5Q9rIDIwvctTe9pn/63etY65ots9y+6xxhovmLR6/pid+4fZqbts/QCF0++cTBnvhtO6e4duscSy2fv3lqvCf++j1nGB9dYK6R42+fvqInfs/+U+wfWmKqWuALz+3rif/olSfYNVDjVKXE3x/Z0xN/21XH2NrX4Oh8mQeP7uqJv/Ma6XsgfU/6nvS9bq+avjdX5q+euIp2svr8/MxbD/Dmm3bw23/+KEfOLPXs/3NvG+eeG7fz4fu+w+mZRk/8V95zPdfvH+Zf/+dvY4GP/sZbAPYCJ3o2voCNqJilJZLzFGAusO3FX0wrRkZKtC/wCo6jGRkp0T/bewLTuMPISIlSKUsjcSi5AbX4fEfXXeUVaxVryytRFDK2fQczbX/NK6f7+X1buenmqzh3pIA9FYNShFYRhg4oiK54E9NH/5wpVaAWuFhU5/9pFWvq5LVcf10ff3O6wrmqh1YGrc4Xi46e6OPm3QM8N+kzU8uhlUWp9EHsCsvxIzHD+YSjc0Xm69nzKaWyKGB60iOrWpycyVNpZsAup5Sp6kwRYxJOzhaoNDMoLLZzbBrD0nQeUJyYLbLQyqyqLNW1y+K5DNYqTs0XqHR+gSxXtpqBZvFcet4mK3lq4fn3BwhCxeK5LFiYquRpxF3n2EIc2zQOnFvKEaz5gJEUVuIztVzPL6CTpkAln8bnalmMXT3l8oQtcHU2i4L03KxxYrrIAS9LI9brxo+fK7BXZ1loe+vGj00V2EGdM43sBeNjSZNTtfz6r3+mwFAYcGpx/fiJMwX62hEn5gvrxk+dyZNrJByfvXDcLVmOzawfnzyTxxY0x6bWj0+fyTGYjTh+bv347NksBddwYrq4bnxxKr02J2cKVFqr41qZ8/HZ831rWV27K/HT8wUqwep4M9Ar8clKIe17XcJQrcR7+h6dvjd1kb431dX3TG/fW1zue/XevndypsA1neq89D3pe92k7/1w+t7RmT6CZP0UaGSkhOs568ZKpSwjIyUcZ/14f1+uE9fEyctLbTaiYvbfAXdPTEz8Quf7/wVQExMTFxvK3AMcn5+vY8wr1+aRkRKzs7WV7z//5/+Fuc5aZj954G1kbhjk03/469z0pnezbe/VfO6+f8dtb/kn7Lv2dateZ2l+ii987Le5423vY8/Vt/Pgf/sjlubP8eMf+HBP6fTh+/+MySOHuPb1b+fJBz/DlTfew833/lRP26w1HH7ofo4+9RBX3PAGDtz8xhedVxYGLTw/e1mWal+OtddGXB7kuly+5NpcnuS6XL5+mNdGa8XQUBE2QcXsK8D/Oj4+PgI0gHcDFxvG3DCucsAalAXX9/A6iVDYblJdSO/ILA30lspLA2M4rkdl9gzb2k3OnXyO8ZvftG6SdPUdb+Xks4/y5IOfYWzXAW5847vWbYtSmuvuegfX3fWO76vtcjOAEEIIsblc8uUyJiYmzgD/Bvgq8ATwiYmJid7JYZcJR6e5q4dGZ9JJ7V4mXWR2eamMvsHRnv201pSHt7E4M8nkC09ijWHngZvWfY++wTH2Xfc6+oa28Lp3/Dxar18iFUIIIcSr20ZUzJiYmPgE8ImNeO+XynELELfwcFGdMWc/mydsNzBJjJ/Nk8kV1913YHQHpyYeQ2uHQnmIgbGdF3yfW9/801hr0VrW/BVCCCFeqyQLuAjHSSdBengovzsxa1JbmKY00FstW9Y/sp0oaHHu5HPsOnDTi871UkpJUiaEEEK8xkkmcBFuZ1gxrZilp2s5MatWZigN9s4vWzYwumPl653j6w9jCiGEEEIsk8TsIpyVxMzpqpgVaFQXaDeq9L1Ixaw8vA2lFMX+EfpHdlxwOyGEEEII2KA5ZpuJs6pidn4os92oArzoUKbr+ey77vUMbtn1qlmyQgghhBCvHEnMLmJ5ETkPZyUxy2TzK/HSOndkdrv1zT/9yjVOCCGEEK8qMpR5Ee7Kchkuyj8/xwzSCfvF8vCGtU0IIYQQry6SmF3ESsVMOeAuJ2YFAAp9Qziud8F9hRBCCCFeCknMLmI5MfMdf2We2HLF7GLDmEIIIYQQL4UkZhfhOp2hzK7K2Epi9iIT/4UQQgghXipJzC6iv1BmwBYpZ/pWfpbNlwDoG9yyUc0SQgghxKuQ3JV5EflMnru5BqfrgeDF/hFe946fY9u+azewZUIIIYR4tZHE7GI6j0laviMT0rsxd43fvFEtEkIIIcSrlAxlXoTqnKHlNcyEEEIIIV4pkphdzErFTBIzIYQQQryyJDG7GJ0ukSEVMyGEEEK80iQxuwi1nJj5cqqEEEII8cqSbONiHKmYCSGEEOLSkMTsYtRyxUwSMyGEEEK8siQxuwi1UjGTUyWEEEKIV5ZkGxexXClTOXlYufj/27v7GDuqMo7j3+0W7FuwwTYKik2a0scXrK0VsaENRgqVxioKgiJEkIJNJMFIJaJVpIYKBguCRTC+EAVFQ4tpMJjSigqW4mtppPLERGms1EDiPyJgX1j/OLPZVXdpi7s7Z3u/n2STnbkzc5+7J2fu756ZvUeSpOFlMNuP7qkTmLR4BmOnTGi7FEmSdIgzmO1HV1cXY6dObLsMSZLUAQxmkiRJlTCYSZIkVcJgJkmSVAmDmSRJUiUMZpIkSZUwmEmSJFXCYCZJklQJg5kkSVIlDGaSJEmVMJhJkiRVwmAmSZJUCYOZJElSJQxmkiRJlTCYSZIkVcJgJkmSVAmDmSRJUiUMZpIkSZUwmEmSJFXCYCZJklQJg5kkSVIlDGaSJEmVGNt2AQehG2DMmK5hf6KReA69OLZNnWyXetk2dbJd6jVUbdPvON0Hs19XT0/PkBQwAuYDD7RdhCRJ0kFYADx4oBuPpmD2EuB4YBewr+VaJEmSXkg3cBTwK+BfB7rTaApmkiRJhzRv/pckSaqEwUySJKkSBjNJkqRKGMwkSZIqYTCTJEmqhMFMkiSpEgYzSZKkSoymKZmGXUScA6wADgNuyMw1LZfUsSLiSuCsZvFHmXl5RCwEVgPjge9n5orWCuxwEXEdMCUzz4+I2cDXgSOAnwPLMnNvqwV2oIhYAlwJTAQ2ZOal9pk6RMS5wBXN4r2Zudx+056IOALYDLwzMx8frJ+01UaOmDUi4pXA1ZSpn2YDF0fE69qtqjM1neRUYA6lLeZGxAeAbwLvBl4LHB8Rp7VXZeeKiJOBD/VbdTtwSWbOBLqAi1oprINFxHTgFuB0YBbwpqZ/2GdaFhETgBuBk4A3Aguac5z9pgURcQJleqSZzfJ4Bu8nrbSRwazPQuAnmfn3zPwncBdwZss1dapdwGWZuTsz9wB/oHSiP2bmn5tPLLcD72uzyE4UEUdSPsCsapanAeMzc0uzyW3YLm14D+WT/s6mz5wNPIN9pgbdlPfaiZSrMYcBe7DftOUi4KPAE83yWxign7R5bvNSZp+jKYGg1y5Kg2mEZeajvb9HxLGUS5o38b/t86oRLk1wK/Bp4JhmeaB+Y7uMvBnA7ohYD7wauAd4FNumdZn5j4j4DPAYJSz/DNiNbdOKzFwKEBG9qwY7h7V2bnPErM8YoP/EoV3A8y3VIiAiXg/cB3wC+BO2T6siYinwl8zc1G+1/aYOYymj/hcC84ATgOnYNq2LiFnAh4FplDf7fZRbNWybOgx2Dmvt3OaIWZ+dwIJ+y6+gb6hTIywiTgTWAh/LzDsj4iTgqH6b2D4j72zgqIjYChwJTKKcuGyX9v0N2JiZTwFExN2Uyy77+m1j27RjEbApM58EiIjbgOXYb2qxk4HbYrD1w84Rsz4bgZMjYmpzs+YZwI9brqkjRcQxwA+BczLzzmb1w+WhmBER3cA5wL1t1diJMvOUzDwuM2cDnwXWZ+YFwHNNkAY4D9ulDfcAiyJictM/TqPcJ2ufad8jwMKImBgRXcASyuVM+00dBnxvycwdtNRGBrNGZv6Vcu/M/cBW4LuZ+ct2q+pYy4FxwOqI2NqM0Jzf/KwFtlPu17irrQL1Hz4IXB8Rj1FG0W5suZ6Ok5kPA1+k/LfZdmAH8FXsM63LzA3A94DfANsoN/9fg/2mCpn5HIP3k1baqKunp2f/W0mSJGnYOWImSZJUCYOZJElSJQxmkiRJlTCYSZIkVcJgJkmSVAm/YFZS9SLizcAngWuBCzNz2RAeeylweGbeHBHLgMmZec1QHV+SDobBTFL1MvPXwJkRcT5DP1/dfOD3zfPcMsTHlqSD4veYSapeRLwN+AblyzlfCqzLzAsiYgmwAjicMkH08sx8KCI+R5kz8mjKN69fRpmA/eWUqVV2AGcBJzbHfRZYBUwFpmTmJc1crV8BXkaZeupLmfntpparKfO3HtfU9JHM/EVEzAdWA93NPl/IzLXD+KeRdIjxHjNJo8WzlKmgHmhC2bGUMLU4M+cAFwPrImJis/00YE5mngu8H3goM+dRJvd+BjgvM+8G1gPXZ+aa3ieKiLHN+psycxZliqNVETGv2eQESlCbA3yrqQPgKmB1Zs6lTFz99mH5S0g6ZBnMJI1Wp1AmGd7UTNt1B/A8MKN5fEtm7gXIzC8DmyPi48DNlJGuSS9w7JnAuMxc1+z/BGXKlnc0j+/IzK3N77+lTOoO8ANgTUTcAcwFPvV/v0pJHcVgJmm06gY2Zebs3h/grTT3iwFP924YEdcCK4GngK8BG4Cu/Rz7v+/zGEO5bAll9K5XT++xMvNW4A3AfcAiYFtEjDv4lyapUxnMJI0me+kLR5uAUyPiNQARsZgySfT4AfZbBNyQmd8BnqSMtnUPcMxejwF7IuK9zbGPBs6gBK5BRcRmyuXT2yiXVidT7mmTpANiMJM0mmwBpkfEuszcTgk/d0bEI8DngXdl5tMD7LcSuC4itlHuHXuQvkue9wLLIuKK3o0zcw9wOnBps89GYGVm3r+f+i4HVkbE74CfAldl5uMv7qVK6kT+V6YkSVIlHDGTJEmqhMFMkiSpEgYzSZKkShjMJEmSKmEwkyRJqoTBTJIkqRIGM0mSpEoYzCRJkirxb6HQvQ6l0vi8AAAAAElFTkSuQmCC\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "backfit_plot(n=1000, p=100, iterations=100);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Comment:**\n", "\n", "Above I've plotted the coefficient estimates at each iteration from backfitting with data simulated from linear models with various numbers of predictors and observations. On each plot horizontal dashed lines show the true coefficient values.\n", "\n", "We can see that in some cases the backfitting estimates converge to the true value, and in some cases estimates are divergent.\n", "\n", "Convergence is dependant on the number of predictors p AND the number of observation n. Convergence is not observed when n < p. The factor by which n must be greater than p in order for convergence to occur doesn't seem to be constant, seems to be in the range 1.2p-10p\n", "\n", "Once the threshold of convergence is achieved, further increasing the ratio n:p serves to reduce the number of iterations required for a given level of convergence.\n", "\n", "To get an intuition for this intercaiton its worth playing around with the sliders below. Start by increasing p until estimates start to converge, then increase n until convergence reoccurs." ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "63c9cab3f021409db42b333e6dfe9b24", "version_major": 2, "version_minor": 0 }, "text/plain": [ "interactive(children=(IntSlider(value=100, description='n', max=1000, min=10, step=20), IntSlider(value=10, de…" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "interact(backfit_plot, \n", " n=widgets.IntSlider(min=10, max=1000, step=20, value=100),\n", " p=widgets.IntSlider(min=2, max=100, step=5, value=10),\n", " iterations=widgets.IntSlider(min=10, max=20, step=10, value=10));" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.5" } }, "nbformat": 4, "nbformat_minor": 2 }