{ "cells": [ { "cell_type": "markdown", "id": "450cf2ff", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "

GEOG 172: INTERMEDIATE GEOGRAPHICAL ANALYSIS

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Evgeny Noi

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Lecture 16: Regression Diagnostics and Spatial Regression

" ] }, { "cell_type": "markdown", "id": "22d42bbd", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Plan for today \n", "\n", "1. Regression Diagnostics \n", "2. Spatial Regression (GWR)" ] }, { "cell_type": "code", "execution_count": 1, "id": "fe7b14a3", "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "C:\\Users\\noibar\\anaconda3\\envs\\geo_env\\lib\\site-packages\\outdated\\utils.py:14: OutdatedPackageWarning: The package outdated is out of date. Your version is 0.2.1, the latest is 0.2.2.\n", "Set the environment variable OUTDATED_IGNORE=1 to disable these warnings.\n", " return warn(\n", "C:\\Users\\noibar\\anaconda3\\envs\\geo_env\\lib\\site-packages\\spaghetti\\network.py:36: FutureWarning: The next major release of pysal/spaghetti (2.0.0) will drop support for all ``libpysal.cg`` geometries. This change is a first step in refactoring ``spaghetti`` that is expected to result in dramatically reduced runtimes for network instantiation and operations. Users currently requiring network and point pattern input as ``libpysal.cg`` geometries should prepare for this simply by converting to ``shapely`` geometries.\n", " warnings.warn(f\"{dep_msg}\", FutureWarning)\n" ] } ], "source": [ "import pandas as pd\n", "import geopandas as gpd\n", "import matplotlib.pyplot as plt \n", "import seaborn as sns\n", "import pingouin as pg\n", "import statsmodels\n", "import statsmodels.formula.api as smf\n", "from pysal.model import spreg\n", "from libpysal.weights import Queen, Rook, KNN\n", "from esda.moran import Moran\n", "from pysal.explore import esda" ] }, { "cell_type": "code", "execution_count": 2, "id": "467039a5", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(6110, 20)\n" ] }, { "data": { "text/html": [ "
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accommodatesbathroomsbedroomsbedsneighborhoodpoold2balboacoastalpricelog_priceidpg_Apartmentpg_Condominiumpg_Housepg_Otherpg_Townhousert_Entire_home/aptrt_Private_roomrt_Shared_roomgeometry
052.02.02.0North Hills02.9720770425.06.052089600100100POINT (-117.12971 32.75399)
161.02.04.0Mission Bay011.5013851205.05.323010557001000100POINT (-117.25253 32.78421)
221.01.01.0North Hills02.493893099.04.595120955310000010POINT (-117.14121 32.75327)
321.01.01.0Mira Mesa022.293757072.04.2766661466800100010POINT (-117.15269 32.93110)
421.01.01.0Roseville06.829451055.04.0073333824500100010POINT (-117.21870 32.74202)
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" ], "text/plain": [ " accommodates bathrooms bedrooms beds neighborhood pool d2balboa \\\n", "0 5 2.0 2.0 2.0 North Hills 0 2.972077 \n", "1 6 1.0 2.0 4.0 Mission Bay 0 11.501385 \n", "2 2 1.0 1.0 1.0 North Hills 0 2.493893 \n", "3 2 1.0 1.0 1.0 Mira Mesa 0 22.293757 \n", "4 2 1.0 1.0 1.0 Roseville 0 6.829451 \n", "\n", " coastal price log_price id pg_Apartment pg_Condominium pg_House \\\n", "0 0 425.0 6.052089 6 0 0 1 \n", "1 1 205.0 5.323010 5570 0 1 0 \n", "2 0 99.0 4.595120 9553 1 0 0 \n", "3 0 72.0 4.276666 14668 0 0 1 \n", "4 0 55.0 4.007333 38245 0 0 1 \n", "\n", " pg_Other pg_Townhouse rt_Entire_home/apt rt_Private_room \\\n", "0 0 0 1 0 \n", "1 0 0 1 0 \n", "2 0 0 0 1 \n", "3 0 0 0 1 \n", "4 0 0 0 1 \n", "\n", " rt_Shared_room geometry \n", "0 0 POINT (-117.12971 32.75399) \n", "1 0 POINT (-117.25253 32.78421) \n", "2 0 POINT (-117.14121 32.75327) \n", "3 0 POINT (-117.15269 32.93110) \n", "4 0 POINT (-117.21870 32.74202) " ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "db = gpd.read_file(\"regression_db.geojson\")\n", "print(db.shape) \n", "db.head()" ] }, { "cell_type": "code", "execution_count": 3, "id": "78e8aff4", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [], "source": [ "variable_names = [\n", " \"accommodates\", # Number of people it accommodates\n", " \"bathrooms\", # Number of bathrooms\n", " \"bedrooms\", # Number of bedrooms\n", " \"beds\", # Number of beds\n", " # Below are binary variables, 1 True, 0 False\n", " \"rt_Private_room\", # Room type: private room\n", " \"rt_Shared_room\", # Room type: shared room\n", " \"pg_Condominium\", # Property group: condo\n", " \"pg_House\", # Property group: house\n", " \"pg_Other\", # Property group: other\n", " \"pg_Townhouse\", # Property group: townhouse\n", "]" ] }, { "cell_type": "code", "execution_count": 4, "id": "2b403a64", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'log(Price)')" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1,2, figsize=(16,4))\n", "\n", "ax[0].hist(db.price);\n", "ax[0].set_title('Price', fontsize=14)\n", "ax[1].hist(db.log_price);\n", "ax[1].set_title('log(Price)', fontsize=14)" ] }, { "cell_type": "code", "execution_count": 5, "id": "e952f6a7", "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
OLS Regression Results
Dep. Variable: log_price R-squared: 0.668
Model: OLS Adj. R-squared: 0.668
Method: Least Squares F-statistic: 1229.
Date: Tue, 15 Nov 2022 Prob (F-statistic): 0.00
Time: 19:29:29 Log-Likelihood: -3988.9
No. Observations: 6110 AIC: 8000.
Df Residuals: 6099 BIC: 8074.
Df Model: 10
Covariance Type: nonrobust
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coef std err t P>|t| [0.025 0.975]
Intercept 4.3884 0.016 272.322 0.000 4.357 4.420
accommodates 0.0835 0.005 16.434 0.000 0.073 0.093
bathrooms 0.1924 0.011 17.542 0.000 0.171 0.214
bedrooms 0.1525 0.011 13.701 0.000 0.131 0.174
beds -0.0417 0.007 -6.013 0.000 -0.055 -0.028
rt_Private_room -0.5507 0.016 -34.624 0.000 -0.582 -0.520
rt_Shared_room -1.2383 0.038 -32.220 0.000 -1.314 -1.163
pg_Condominium 0.1436 0.022 6.485 0.000 0.100 0.187
pg_House -0.0105 0.015 -0.722 0.470 -0.039 0.018
pg_Other 0.1412 0.023 6.191 0.000 0.096 0.186
pg_Townhouse -0.0417 0.034 -1.216 0.224 -0.109 0.026
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Omnibus: 964.842 Durbin-Watson: 1.836
Prob(Omnibus): 0.000 Jarque-Bera (JB): 2671.611
Skew: 0.850 Prob(JB): 0.00
Kurtosis: 5.758 Cond. No. 41.5


Notes:
[1] Standard Errors assume that the covariance matrix of the errors is correctly specified." ], "text/plain": [ "\n", "\"\"\"\n", " OLS Regression Results \n", "==============================================================================\n", "Dep. Variable: log_price R-squared: 0.668\n", "Model: OLS Adj. R-squared: 0.668\n", "Method: Least Squares F-statistic: 1229.\n", "Date: Tue, 15 Nov 2022 Prob (F-statistic): 0.00\n", "Time: 19:29:29 Log-Likelihood: -3988.9\n", "No. Observations: 6110 AIC: 8000.\n", "Df Residuals: 6099 BIC: 8074.\n", "Df Model: 10 \n", "Covariance Type: nonrobust \n", "===================================================================================\n", " coef std err t P>|t| [0.025 0.975]\n", "-----------------------------------------------------------------------------------\n", "Intercept 4.3884 0.016 272.322 0.000 4.357 4.420\n", "accommodates 0.0835 0.005 16.434 0.000 0.073 0.093\n", "bathrooms 0.1924 0.011 17.542 0.000 0.171 0.214\n", "bedrooms 0.1525 0.011 13.701 0.000 0.131 0.174\n", "beds -0.0417 0.007 -6.013 0.000 -0.055 -0.028\n", "rt_Private_room -0.5507 0.016 -34.624 0.000 -0.582 -0.520\n", "rt_Shared_room -1.2383 0.038 -32.220 0.000 -1.314 -1.163\n", "pg_Condominium 0.1436 0.022 6.485 0.000 0.100 0.187\n", "pg_House -0.0105 0.015 -0.722 0.470 -0.039 0.018\n", "pg_Other 0.1412 0.023 6.191 0.000 0.096 0.186\n", "pg_Townhouse -0.0417 0.034 -1.216 0.224 -0.109 0.026\n", "==============================================================================\n", "Omnibus: 964.842 Durbin-Watson: 1.836\n", "Prob(Omnibus): 0.000 Jarque-Bera (JB): 2671.611\n", "Skew: 0.850 Prob(JB): 0.00\n", "Kurtosis: 5.758 Cond. No. 41.5\n", "==============================================================================\n", "\n", "Notes:\n", "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n", "\"\"\"" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Fitting linear model\n", "res = smf.ols(formula= \"log_price ~ accommodates + bathrooms + bedrooms + beds + rt_Private_room + rt_Shared_room + \\\n", " pg_Condominium + pg_House + pg_Other + pg_Townhouse\", data=db).fit()\n", "res.summary()" ] }, { "cell_type": "code", "execution_count": 6, "id": "e3724147", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [], "source": [ "# base code\n", "import numpy as np\n", "import seaborn as sns\n", "from statsmodels.tools.tools import maybe_unwrap_results\n", "from statsmodels.graphics.gofplots import ProbPlot\n", "from statsmodels.stats.outliers_influence import variance_inflation_factor\n", "import matplotlib.pyplot as plt\n", "from typing import Type\n", "import statsmodels.stats.api as sms\n", "\n", "style_talk = 'seaborn-talk' #refer to plt.style.available\n", "\n", "class Linear_Reg_Diagnostic():\n", " \"\"\"\n", " Diagnostic plots to identify potential problems in a linear regression fit.\n", " Mainly,\n", " a. non-linearity of data\n", " b. Correlation of error terms\n", " c. non-constant variance\n", " d. outliers\n", " e. high-leverage points\n", " f. collinearity\n", "\n", " Author:\n", " Prajwal Kafle (p33ajkafle@gmail.com, where 3 = r)\n", " Does not come with any sort of warranty.\n", " Please test the code one your end before using.\n", " \"\"\"\n", "\n", " def __init__(self,\n", " results: Type[statsmodels.regression.linear_model.RegressionResultsWrapper]) -> None:\n", " \"\"\"\n", " For a linear regression model, generates following diagnostic plots:\n", "\n", " a. residual\n", " b. qq\n", " c. scale location and\n", " d. leverage\n", "\n", " and a table\n", "\n", " e. vif\n", "\n", " Args:\n", " results (Type[statsmodels.regression.linear_model.RegressionResultsWrapper]):\n", " must be instance of statsmodels.regression.linear_model object\n", "\n", " Raises:\n", " TypeError: if instance does not belong to above object\n", "\n", " Example:\n", " >>> import numpy as np\n", " >>> import pandas as pd\n", " >>> import statsmodels.formula.api as smf\n", " >>> x = np.linspace(-np.pi, np.pi, 100)\n", " >>> y = 3*x + 8 + np.random.normal(0,1, 100)\n", " >>> df = pd.DataFrame({'x':x, 'y':y})\n", " >>> res = smf.ols(formula= \"y ~ x\", data=df).fit()\n", " >>> cls = Linear_Reg_Diagnostic(res)\n", " >>> cls(plot_context=\"seaborn-paper\")\n", "\n", " In case you do not need all plots you can also independently make an individual plot/table\n", " in following ways\n", "\n", " >>> cls = Linear_Reg_Diagnostic(res)\n", " >>> cls.residual_plot()\n", " >>> cls.qq_plot()\n", " >>> cls.scale_location_plot()\n", " >>> cls.leverage_plot()\n", " >>> cls.vif_table()\n", " \"\"\"\n", "\n", " if isinstance(results, statsmodels.regression.linear_model.RegressionResultsWrapper) is False:\n", " raise TypeError(\"result must be instance of statsmodels.regression.linear_model.RegressionResultsWrapper object\")\n", "\n", " self.results = maybe_unwrap_results(results)\n", "\n", " self.y_true = self.results.model.endog\n", " self.y_predict = self.results.fittedvalues\n", " self.xvar = self.results.model.exog\n", " self.xvar_names = self.results.model.exog_names\n", "\n", " self.residual = np.array(self.results.resid)\n", " influence = self.results.get_influence()\n", " self.residual_norm = influence.resid_studentized_internal\n", " self.leverage = influence.hat_matrix_diag\n", " self.cooks_distance = influence.cooks_distance[0]\n", " self.nparams = len(self.results.params)\n", "\n", " def __call__(self, plot_context='seaborn-paper'):\n", " # print(plt.style.available)\n", " with plt.style.context(plot_context):\n", " fig, ax = plt.subplots(nrows=2, ncols=2, figsize=(10,10))\n", " self.residual_plot(ax=ax[0,0])\n", " self.qq_plot(ax=ax[0,1])\n", " self.scale_location_plot(ax=ax[1,0])\n", " self.leverage_plot(ax=ax[1,1])\n", " plt.show()\n", "\n", " self.vif_table()\n", " return fig, ax\n", "\n", "\n", " def residual_plot(self, ax=None):\n", " \"\"\"\n", " Residual vs Fitted Plot\n", "\n", " Graphical tool to identify non-linearity.\n", " (Roughly) Horizontal red line is an indicator that the residual has a linear pattern\n", " \"\"\"\n", " if ax is None:\n", " fig, ax = plt.subplots()\n", "\n", " sns.residplot(\n", " x=self.y_predict,\n", " y=self.residual,\n", " lowess=True,\n", " scatter_kws={'alpha': 0.5},\n", " line_kws={'color': 'red', 'lw': 1, 'alpha': 0.8},\n", " ax=ax)\n", "\n", " # annotations\n", " residual_abs = np.abs(self.residual)\n", " abs_resid = np.flip(np.sort(residual_abs))\n", " abs_resid_top_3 = abs_resid[:3]\n", " for i, _ in enumerate(abs_resid_top_3):\n", " ax.annotate(\n", " i,\n", " xy=(self.y_predict[i], self.residual[i]),\n", " color='C3')\n", "\n", " ax.set_title('Residuals vs Fitted', fontweight=\"bold\")\n", " ax.set_xlabel('Fitted values')\n", " ax.set_ylabel('Residuals')\n", " return ax\n", "\n", " def qq_plot(self, ax=None):\n", " \"\"\"\n", " Standarized Residual vs Theoretical Quantile plot\n", "\n", " Used to visually check if residuals are normally distributed.\n", " Points spread along the diagonal line will suggest so.\n", " \"\"\"\n", " if ax is None:\n", " fig, ax = plt.subplots()\n", "\n", " QQ = ProbPlot(self.residual_norm)\n", " QQ.qqplot(line='45', alpha=0.5, lw=1, ax=ax)\n", "\n", " # annotations\n", " abs_norm_resid = np.flip(np.argsort(np.abs(self.residual_norm)), 0)\n", " abs_norm_resid_top_3 = abs_norm_resid[:3]\n", " for r, i in enumerate(abs_norm_resid_top_3):\n", " ax.annotate(\n", " i,\n", " xy=(np.flip(QQ.theoretical_quantiles, 0)[r], self.residual_norm[i]),\n", " ha='right', color='C3')\n", "\n", " ax.set_title('Normal Q-Q', fontweight=\"bold\")\n", " ax.set_xlabel('Theoretical Quantiles')\n", " ax.set_ylabel('Standardized Residuals')\n", " return ax\n", "\n", " def scale_location_plot(self, ax=None):\n", " \"\"\"\n", " Sqrt(Standarized Residual) vs Fitted values plot\n", "\n", " Used to check homoscedasticity of the residuals.\n", " Horizontal line will suggest so.\n", " \"\"\"\n", " if ax is None:\n", " fig, ax = plt.subplots()\n", "\n", " residual_norm_abs_sqrt = np.sqrt(np.abs(self.residual_norm))\n", "\n", " ax.scatter(self.y_predict, residual_norm_abs_sqrt, alpha=0.5);\n", " sns.regplot(\n", " x=self.y_predict,\n", " y=residual_norm_abs_sqrt,\n", " scatter=False, ci=False,\n", " lowess=True,\n", " line_kws={'color': 'red', 'lw': 1, 'alpha': 0.8},\n", " ax=ax)\n", "\n", " # annotations\n", " abs_sq_norm_resid = np.flip(np.argsort(residual_norm_abs_sqrt), 0)\n", " abs_sq_norm_resid_top_3 = abs_sq_norm_resid[:3]\n", " for i in abs_sq_norm_resid_top_3:\n", " ax.annotate(\n", " i,\n", " xy=(self.y_predict[i], residual_norm_abs_sqrt[i]),\n", " color='C3')\n", " ax.set_title('Scale-Location', fontweight=\"bold\")\n", " ax.set_xlabel('Fitted values')\n", " ax.set_ylabel(r'$\\sqrt{|\\mathrm{Standardized\\ Residuals}|}$');\n", " return ax\n", "\n", " def leverage_plot(self, ax=None):\n", " \"\"\"\n", " Residual vs Leverage plot\n", "\n", " Points falling outside Cook's distance curves are considered observation that can sway the fit\n", " aka are influential.\n", " Good to have none outside the curves.\n", " \"\"\"\n", " if ax is None:\n", " fig, ax = plt.subplots()\n", "\n", " ax.scatter(\n", " self.leverage,\n", " self.residual_norm,\n", " alpha=0.5);\n", "\n", " sns.regplot(\n", " x=self.leverage,\n", " y=self.residual_norm,\n", " scatter=False,\n", " ci=False,\n", " lowess=True,\n", " line_kws={'color': 'red', 'lw': 1, 'alpha': 0.8},\n", " ax=ax)\n", "\n", " # annotations\n", " leverage_top_3 = np.flip(np.argsort(self.cooks_distance), 0)[:3]\n", " for i in leverage_top_3:\n", " ax.annotate(\n", " i,\n", " xy=(self.leverage[i], self.residual_norm[i]),\n", " color = 'C3')\n", "\n", " xtemp, ytemp = self.__cooks_dist_line(0.5) # 0.5 line\n", " ax.plot(xtemp, ytemp, label=\"Cook's distance\", lw=1, ls='--', color='red')\n", " xtemp, ytemp = self.__cooks_dist_line(1) # 1 line\n", " ax.plot(xtemp, ytemp, lw=1, ls='--', color='red')\n", "\n", " ax.set_xlim(0, max(self.leverage)+0.01)\n", " ax.set_title('Residuals vs Leverage', fontweight=\"bold\")\n", " ax.set_xlabel('Leverage')\n", " ax.set_ylabel('Standardized Residuals')\n", " ax.legend(loc='upper right')\n", " return ax\n", "\n", " def vif_table(self):\n", " \"\"\"\n", " VIF table\n", "\n", " VIF, the variance inflation factor, is a measure of multicollinearity.\n", " VIF > 5 for a variable indicates that it is highly collinear with the\n", " other input variables.\n", " \"\"\"\n", " vif_df = pd.DataFrame()\n", " vif_df[\"Features\"] = self.xvar_names\n", " vif_df[\"VIF Factor\"] = [variance_inflation_factor(self.xvar, i) for i in range(self.xvar.shape[1])]\n", "\n", " print(vif_df\n", " .sort_values(\"VIF Factor\")\n", " .round(2))\n", "\n", "\n", " def __cooks_dist_line(self, factor):\n", " \"\"\"\n", " Helper function for plotting Cook's distance curves\n", " \"\"\"\n", " p = self.nparams\n", " formula = lambda x: np.sqrt((factor * p * (1 - x)) / x)\n", " x = np.linspace(0.001, max(self.leverage), 50)\n", " y = formula(x)\n", " return x, y" ] }, { "cell_type": "code", "execution_count": 7, "id": "d9d6e735", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "cls = Linear_Reg_Diagnostic(res)\n", "\n", "cls.residual_plot()" ] }, { "cell_type": "code", "execution_count": 8, "id": "b85ac0cf", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# look out for the points outside of the Cook's curves\n", "cls.leverage_plot();" ] }, { "cell_type": "code", "execution_count": 11, "id": "d5885df3", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " Features VIF Factor\n", "10 pg_Townhouse 1.09\n", "6 rt_Shared_room 1.13\n", "7 pg_Condominium 1.15\n", "9 pg_Other 1.17\n", "8 pg_House 1.45\n", "5 rt_Private_room 1.49\n", "2 bathrooms 2.53\n", "4 beds 3.99\n", "3 bedrooms 4.52\n", "1 accommodates 5.87\n", "0 Intercept 7.33\n" ] } ], "source": [ "# look out for the variance inflation factor (VIF) > 5 \n", "cls.vif_table()" ] }, { "cell_type": "markdown", "id": "60fdf995", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Getting at Spatial Structure of Data \n", "\n", "1. Visual plots \n", "2. Global Moran's I \n", "3. Local Moran's I " ] }, { "cell_type": "code", "execution_count": 12, "id": "2668fb1d", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [], "source": [ "# Fit OLS model\n", "m1 = spreg.OLS(\n", " # Dependent variable\n", " db[[\"log_price\"]].values,\n", " # Independent variables\n", " db[variable_names].values,\n", " # Dependent variable name\n", " name_y=\"log_price\",\n", " # Independent variable name\n", " name_x=variable_names,\n", ")" ] }, { "cell_type": "code", "execution_count": 13, "id": "16d39df3", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Create column with residual values from m1\n", "db[\"residual\"] = m1.u\n", "# Obtain the median value of residuals in each neighbourhood\n", "medians = (db.groupby(\"neighborhood\").residual.median().to_frame(\"hood_residual\"))\n", "\n", "# Increase fontsize\n", "sns.set(font_scale=1.25)\n", "# Set up figure\n", "f = plt.figure(figsize=(15, 3))\n", "# Grab figure's axis\n", "ax = plt.gca()\n", "# Generate bloxplot of values by neighbourhood\n", "data=db.merge(medians, how=\"left\", left_on=\"neighborhood\", right_index=True).sort_values(\"hood_residual\")\n", "# Note the data includes the median values merged on-the-fly\n", "sns.boxplot(\n", " x=\"neighborhood\",\n", " y=\"residual\",\n", " ax=ax,\n", " data=data,\n", " palette=\"bwr\"\n", ")\n", "# Auto-format of the X labels\n", "f.autofmt_xdate()\n", "# Display\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 14, "id": "a63b6e95", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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vhzqvBElWcawuCI1SvL2hKu74BHpwXlEpaj0hFLmsKMy3mgYC0I1V9GTaPEU4E9lUIVlD32JHzC6JJ4AkK1j20T5ced4wMz25xhOCFFbhclggCpz5eo4Ah2v9ePytXW3eOTWHiUAyUjIot912W0oHI4Qwg8JokVllA/DCBxWo84Sgahp4joPNKmDB2UPafexEwWiPpGDV5moUF9jMSS4QUhAIyQAIBIFDUb4VAk8gybrBQJI9O4U+EfOEQNMoPD4Zg/vbzbhDoslUCqsoiBgvg1SzqZKt9uMKOAmBRvVAvVFxf/vCU81J3NgVHq0PNr1e0yJFn3rlemuTfyo7DyYCyUjJoFRUVGR7HIyehOllJc3+3T4SBaODkgqNauYkp2kUGqWgFOA5va7jWKSg0Qi+t4RGAZHXrY47rynus3T5joTGzBdU4A/JMenF0TuyZBN1S6t9I1AvKxp4M9WZwuW0xikkr95aDY9PgtcfhqxoEHj9MzdUZFSN6p+JRk1j1HzyT3XnwUQgGW1SG66rq8N3330HTdPvSkopwuEwdu7ciRtvvDGjA2R0LwzRxEJXk4tLktWMrGITudNkVYPIN6XYev1hcISAEn1Fr6h6JbuqqQCapFqSQak+gfMcF+Omaz6ZBkIyGoMyKKUgHDHVhl1OfTc0q2xAixN1S6t9w4jFFHA6rWYBZ4nbFnPsgnwrajwhUACyStHcaFLoWmeFkdcBsYYuEFJgtfBw2FreeeRS+2hG55C2QXn77bdx1113IRwOgxBitgEmhGDAgAHMoDBaJJur2EQNuXiOwGFr0uFSVA0ABShMY1KQb8XR2kDSosbmKBGrU1HdgOuWrkW/Ygdson4+YzJt8IWhqlR3MQEAR6BqgBRWcXUkeJ9oV2NM1K19Tq0VcMYoL2s05reaCFWl8PjCOLnUFWfo6hol03DZrULcWFr6/Fkqcs8ibYPy1FNP4ZJLLsF1112HefPm4cUXX0RtbS3uvvtu1nCLYdKS//9ovS4nb0zodquAPlF1FG0lUUHjpJG9sXHXEUiyCovAgULfhRDo7h5FVXGkNgCHlUdAUtM+p6pRHDjuh1XkoooPVcgRnxLPE1Doub15Nl2K5ZU1+1Diro5JDjAwJupUVvvJCjgBoPKgBxqlEAU+4s4j4HljhxIPhW4omxsjILKTUzR4/WHToCTaeUSP52CNH6pKIfDEVA9gcZTuT9oG5cCBA3jyySdx4oknYsSIETh27BimT5+OxYsX49FHH8XcuXOzMU5GF6IlV86IAQXYd6ABBARcpPFUWJFw1th+aZ8jkcEyJq2Va/ej8qAXlQc9cDktsIoEgZACgSNmdXy056ctxiQaSdagaYDLIaLWp8ujcEQPgAN6Zpg3IEck7fXPJCSp8HJhuPOajIoxUae62m9ewGl89oQQkMh5dcNNWokOAaXFDowZXGLW2hi4HCLqGiXIii4/39LOI1qrzNg5sWyvnkPaBsVut4PjdJ/0wIEDsW/fPkyfPh0jR47E999/n/EBMroeLfn/AcDlsCAYVqEoGgSBg93CmzpXBokMhnHsqiNeSGENhACiwENRtRhhxhdW7YE/pJjB91qvBECCPhwCjgO0JLESI8mL51qPpzRHVjVIiga7lYdFFFHvC+uaW2jKOyjIt5oaXHkOEb6gDJtViDMabZV8Nz57d54lkiKsn1hRKXieoHkSm/FvAmDeDD3TrvnuyGETdcMvawiElFbH0hHZXrlc79KTSdugjB8/Hs8//zwWL16MUaNG4Z133sH111+Pr776Ck6nMxtjZHQxWvP/u5wWuPNiCxuj/fGJdjgvfFABUL2QLxQ2kkEARVXRGNQLC595dzdkRYWi0YSJY7IKcIS2GCuhMIQg23btHl8YhEDv1phvhTcgQ1F0KReBJ6bLCADyHSJUVUOB05JwYkyn/bGB8dmTyGTuDcjQNBUaBfLtIlRNQ2NAibleAJg0qrd5rkS7I1Hg8PPZI1IaT7azvVi9S+6StkG59dZbce2112LAgAFYsGABnn76aZSVlcHv9+NnP/tZNsbI6GK05v9v8Iehqpo52fIcQe+CJn98ohVuXWQyInpur7my1ijAgcIfUsBxBASJjYlBKoH3ErcNxxvaNvkZ4pKBkAKHTY8NNQZkNDRKUDWKo3WBmPTh0hKnmbVlrLr1GEvbVt3Rn73DJsJhEyHJKgSOIM8u4mCNHwLXlDZsFTnMLhuAOVNPjhmDFFahqAp4nqB/mkWP2c72YvUuuUvaBmXEiBH4+OOPEQwGkZeXhxUrVmDNmjUoKirC7NmzszFGRhejNf+/4ZIy1FdUTYM3qKC8sgZjBpckXOGqmqan7EYW14ZdoBRQo/7B8RzUZP6sFFFUGhFhTL8+RqP6NbvsAvIcFhyq8SMYViEKBGGFIhRWEQoH4bQJcNgE8zNpvuo+Wh/Eo2/sBKX6WAwtsdYmzGSf/YKzmzTGnHYRTpsAf0iBqmoY1M8VN4aCfGtCF1wqZDvbi9W7tA/u2HcQvvsS8phzQe35GT122gYlkQyLy+WCoih47733WKU8o1X/v9FtUM9C4uByWsBxxFxhJlrhIlKd3kIhu777aIMRiIYA8AVk9Cuy41BdMKHOW2soqoZDtQEMc1gi16bXpETHZQIhBedNOMEsYozur2Kz8GjwhZuuS6U4eNyPZ97dHdMxMtFE39JnH52mnKiXSqZW/tlu+Zvo/mgMyJDCKm5/chOLqSSAqz0I69a3YN3yBsTK/wAAAj/+Lfw/uTej50nboCSTYbFarejbty8zKAwALfv/jW6DzQUijRVmohUuaJOWVouF9a1U3RM0uc2aGwsCQIjI0nsCMmgbjZMhg/LtIS/Cimb2t+c5DkaNpaxqWLPtAD7ZcRAhSY3I0OgFkKFwfMYZBRCQFAQkxRS1NHS4XE4LQGmMoUmk3Nzayj6TK/+2xH9Spfn9ES1+yWIqTRDPcVi3vQNsewvFu9bHPKcW9kN43PkZP2faBqW5DIuqqqiqqsI999yD+fPnZ2xgjPaTq5kwxgpT0yi8/nBcT4/mK1ybhW+xKC+602JrKi4WkTPTdGsagtAihqqkwAZCCGo9QQg8Z4o+tjWdWFU1cBxn7qhUDSBErwdRI0kDIVmFqHFmNpqqtZwwYCDJTWPSWwLLoFRPUa5rlFB5aBcunNQUFzFoLbaR6HmvP4ywrOXUyr/5/WGIXxrfa0+OqRB/Pazb3od180qIu9eBaE33ipZXBOn0SyBNvgzyiCkAx7dwpDaeP1Py9V9//TV++9vf4qOPPsrE4TqM7ipfH+0Pj/ZjtySb3lHXbLh4AlJTthFHgDy7aPb0MHh3w7dYtbkacsRXxHMk0gIXpgtMFPRJWVHjdxxG1paRutun2GFOmEFJMQ1InyIHjtQGoGoURS6rWV1/8LivqW4lDVpyzWUaw6AS6JlkWsS43Dx3dMIaFZ7nYmIoxj3R/J7x+sPwBsJwO60pS+93xiIm1ZYIXf03nZSQD9Yd/4J180pYvvoYRJXNpzRbPrhpc9Ewfg7kU6YDgpj8OCnSbvn6VOB5HseOHcvU4RjtJNczYUJykzExpoHm4oTllTVYtaUaGqVm/MEQcTQNRURpNxEx9RZGAoCqma4SjiNw2i0odFlR5wlBVvTaFm9A/0E6bCLsVj4mzTZVOrLJkLk7g/558ERPYmj+XUev7Ot9YYg8gUA4s3J/VtmAGNn7sKzB7bTqLjW0fg91VjqvzcLjSG0AGqUQ+KaYXLfWEAuHYPnqI1g3vwHrF/8CCQfNp6jFDunU2ZAmz0N4zLno1b8X5A4ypBkJyvt8PqxYsQJjxozJyKAY7SeXM2H0AkcCkYe5qtRTbWXUeEjM61SNgicAIRwAvRrdmED5SHMplTalCrudIhqDckzhopEJVuyyxkyYNgsPl12ApzGMUFiFXq9LoKqarl8VVhEIqeB5vbo+mo7cgaSKYTQ1Cgh84u/aiG18XxPAEyu/jJv8rzxvmBl/MVb+0bR0D3XGIqa8sgZefxiqRkEiygu1niCcdktGWiLkFIoMy661sG55A5Zt74MLNRkJKlgQHnsepMmXQRo/C7Al3kFkm4wE5QVBwPjx43HPPfdkYkyMDJDLyq81nhDESHqvYT44omdHNVfwjX6dEdTWZdg55DlEBEJ6F0WVAvkOAQX5NgQk1VTCBpp2QHYLb06o0avpUFiBphlyLBSEcCCgaAzK4AhQ7LKjvlEy9bmA3DMmgG44w5ExUhDYLMl95G9+tr/VyT/de6gzFjGGerXVwkfVNelp27mwE283mgpxz0ZYt7wB6+dvg/PVm09Rjoc8ejpCk+YhPOFCUGdB540zQruD8ozcJJeVX20ihwZNi8Q8mqZmjiBmfCVuGxRVQ2NQMyVMjN1JnkOEy2kx3TGHa/yQzAp6XZTQiKlYLDzy7QJCcpNBiF5NK6q+ulUj8UstqkxepfpEyTVtnLoEmqonPLy74duYbpXG51tRVQdNoxAEDi6HXgDZfPJPdg+NGFAQ15kyWbp3thcx0coARtzLiJ90WTQNwv5tuhHZ+hb4hqPmU5QQyCPOgDTpMkinXwzqyi2jmbEYCiO3yHYtQFspr6yBN6jEuZAAwGaJvR2NCS3fLiIoqZBVPbXWKnLId4gISoqehaRoZmLF4Ro/AH21zvMETqsASdFQ1xiGTeTjiicDIdksmkyGplG0r1QyffIdIvqXOLH3h4Y29R/TM8toXLdKU8KGEGigpnsP0GNYrakZjxhQgI27jrTY+KsjFzG5vBNPC0ohfF+ux0S2vAm+pjrmaXnwBN2dVXYptKLSThpk66RkULZt25byASdOnNjmwTAySzZrAVIhUcbP6q3VcNgEBCXFdCEZ9R+uPIvpcomVAKGQFdXM7JIVoPqoLyK1EltPopqtbfXjmm1yOf2/x9/cBYEHJJnmRDwpGf6gDF9QhshzphsrFaJjO4GQAgo9PVrgOVhFvWaDUj19mka59zy+MNx5llbVjFvq4WLEXlZ+Vhkx7AR9CrM7sefyTjwV+AMV+k5kyxsQDu+PeU4Z8COEJl8GadJcaL0Hdc4A0yQlg/LTn/7UbNDTPDUPQMxje/bsyfAQGV2RZBk/obCKwnwrNI1C5ElUUF5fLVce9OA3j6xHSFKR5xBhETk0BqSEMYvm6d4cQUQJm4JSGpP9xHNEr87XKGS1Ka6SqxBCcKxeNwTpGBSa4G+OEIRlNaZgkmoACEAQaYkMJEwHbr4oOFTjR0GSHi4GkqyiuMBuTvDZzPTK1Z14S3DHvoN185uwbXkDQvWumOeUfkMgTZ4HadJlUPsP76QRtp2UDMq///1v8+9169bh2WefxeLFizFu3DiIooidO3diyZIl+MUvfpG1gTK6FskyflRVQTgiW6+qmhkXIYSgzhsCz3EIy3rMxOOTAJJaAJwjMCvNea4p1mKs2MNKfNvbXIZSClmhZkJCW8drGM7mkvUcR0A1Ao7nUJxvRYHTklIv+WBYBR+QzdgVEOti6oxMr87eiacCV3cI1q1vwrq5SfrEQC0ZoLuzJs2FMnBMU7peFyQlg9KnTx/z72eeeQZLlizB6aefbj5WVlaGe+65B7fccgsuvfTSzI+S0eVIlvEj8Hpart3CozGoRQQYKSgIKIXZwMkkxZk0OrxvdGREazItOYxRqMgRArUd5k+XN4tVYNYNrGo2OEvmIkpkHJw2Ab6ADKuFT+hiqvGEQAhwtFEyO3LmO8Scdi9mC+KtgfXzt3UjsncTSNSXoBb0hTTpUt2IDDm9SxuRaNIOytfU1KCgoCDucYvFAp/Pl4kxMXKcVKqhkwVLSyNS6Cs/q4TXHwal+m/JcF/RJC1qW8OQLjGqxikA0kWNiQEf6bJotfCwW3j4gnJSNYBkEOjBdkVtcncJvC7/omqAVSRJK98TLQpcTgtUjSbt4WKz8Dhc6wchHDiiZ9rVeUPoV9wxvZI6W26I+Btg2f4+bJtXQvz634mlTybNhTzyjKxIn3Q2aRuUiRMnYsmSJVi6dKm5c6mursZ9992HadOmZXyALfHxxx/j17/+NWy2psDfueeeiwcffLBDx9GTSLUaurVgqdcfhsBzZv8Qg/bYAEoTxxC6KopKwXFAoUOEFFahqrrBtFkEzJx4ArbvPY4Dx/0tHoMCsAocFEWFqumdKAkAgdPlanq5bUkn3GSLgv5RPVziT2j0f4zeFXXMVrHTGm+Z0idvwFL+MYgSpRRtdyE84ceQJs1FePSMjEif5DJpG5R77rkH1157LWbMmIHCwkJQSlFfX49Ro0bhrrvuysYYk7Jr1y7Mnj0bf/3rXzv0vD2ZVH3kLQVL73pui9kPpZ1q8wD06UtPAVa6vBGJg+oZX4ZIpcARhMIK3t5QlfIhGgMyBJ7A6dBTqBVFg0UkcNpEhGQt6aq+LRlUIVlDYb4FjUHFbPHcvAYoW3Ro/KY16ZPxsyFN0aVPYOliKcztIG2DUlpaivfeew+bNm3CN998A0IIRo4cibKyMrPXfEexa9cuTJkypfUXMkza6xJIpxo6WbD0aL3uZ+dI+wVMDEl7f1cuZGsBjSJG8ThVRWIDoyBzcH83GvxhFEYmW1Hg4AvKEAjiGns9/uYu2Kw8+pc4ccbovnGFkc0FJ6PvJ5vIQaFA36KmoL0kqyiICuK3hVTu26xX6rcmfTLmXEhT5nWq9Elnk5JBee+993D++efDYrHEaHn17t0bgB5XWbVqFQB0aD+Ur7/+GpRSvPLKK5BlGWeddRZuu+02uN3uDhtDVyITLoH2FpKVV9ZAUbWIkGHLDbNSgaLrBt7bQro7Oo0CDqveGfKFVXtQ5wlB1XQlAauo91LheQ6aRnG4NtAkLxMGjtYHUXnQC5uVh9shwheUY4QkAcTdT4GQYn4hmaoLSfW+zUqRY4z0yTvgfHXmU5TjIZ9yFkKTL88Z6ZPOJiX5+hEjRmDjxo0oLi7GiBEjkh+MkA6rQ2lsbMRNN92ECy64ABdffDG8Xi9+//vfw2q14plnnumQMXQ1/t+TG1HvDcZUpIfCCgpddjxw4xkpHWP7nqN4+s1yCEKk45+sQlEoFs0dgwkj+6T03hpPCIra0bXnPZc+RXacM3EA/rWpCo3+MJSIVTIy4cRILEvXMmsy8Dyn6/7zpKkdcq9Cuy5ro1DYrAIUVY27nwSeR77TgmN1AfQucmDu9CGt3hstkep92557MwZKgT1bgM9eBdatAOqOND1HCHDKVGDGT4Bp84CCXm2+ru5Ixvqh5AI7d+7E5Zdfju3btyMvL7UtZ3fth5KI1vpGpHrNbXWbLV2+Aw3+MFRVQ603hHa2fmd0IEa2mMDr/e0lWUVtQxD9Spyt9iFpL6n0OzHuyUM1figqBc8T9I9kFBr3Zov3dzeRPklEpueyjPdDeeedd1BWVoa+ffvi+eefx1tvvYWxY8di8eLFcDgc7Rpsqnz77bd4/fXX8bvf/Q48r29xJUkCx3GwWNrnr+2uZMol0NZCsmghPwCmOixHCC6cPACrNn8PuY1pw4z0ScfdSIHIrlKf1C0CB4AgrGit3k/pLEASvba1+zbaJVaQb41xs7V2n/IH98K6eWUr0ieXQut9UoqfVM8mbYPy6KOP4oUXXsCLL76IAwcO4KGHHsKCBQuwdetWPPjgg7j77ruzMc44CgoK8Prrr8PpdGLRokWoqanBgw8+iEsvvZQZlCR0tu5R80ZI7kgjpAKnBXOmnoyK6gZUVDd0yFgYbYtdGXuExoAMQoBjdQH9u8zTYzGBkAKBwGwZ3JKYZCqV+cs+2ochpS5UHvJC1ShEnoPdykMUOPO+jc7uMgRDZUXFM+/uxvVzRsWdhztWBevmN5JLn0y6TJc+OSG5e5+RmLQNyltvvYUHH3wQ48aNw3333Yfx48fj7rvvxhdffIFf//rXHWZQioqK8Nxzz2Hp0qV48cUXIYoiLrzwQtx+++0dcv6uyJjBJag67MWabQcQCitmPUNHFH611gipvLIGxxuCrR+I0bkQAq8/DI9fgsthgcATeP0yaj0hFLlsAKVQKEyDsGpzNZx2fZo52ihF+pUQ/GN1BXoVOuKEQ5un/XokBdv31kT1vlHhD1JcOLlp92HsfIOSgjpvCAABRwhCsmoar3GFYWDdByj4eFlS6ZPQpMugDvxRt6la7wzSNijHjx/H6NGjAQAbNmzAJZdcAgDo1atXh1fKjxs3DsuXL+/Qc3ZlyitrsHHXEbjyLCgRbAgrGjbuOoJB/VztMiqpuDQSNUIihCAQDOORleUZqUdhZB9V1SCFVbgcFrjzdJFIp90CSVbh9YXhyrPEGASNavAFZFBiSMnorrPaxjA0EOQ7xDjh0GiCkgqNajG9byRZRUV1A+ZEXmO4xLz+MHRjome3FdNGnH3kYwx6+Pcoqi8HKIVRVtgkfXIZlCETmRHJEGkblBNPPBG7du1CXV0dvv/+e5x55pkAgLVr1+LEE0/M+AAZmSMbhV+ppHSWV9ag8qAHGqUQBR5upwWUUhaY72IQAgw7sSBpvUcorKBEiI2fCDwHSdYg8CRSd9SkUh6UFLicljjh0OhYiaxqEPnY+rZkjcBkRUWe6keZZwumNqzHmMZy8NGdbFzFCE64GNLkyyCPmNItpU86m7QNyi9/+Uvccsst4DgOEydOxCmnnIInnngCjz/+OB544IFsjJGRIbJR+NWakXr23V3YsueYWSuihlWElRBoM8FCRudiBOg5ov+juaEn0I2D4ZpKFCS3WYQ4g+CwiZBkyVRkMXTWeA5m6nggJMPrlxFWVMgeDU6bAJfTgnDEPWZ0Yow+V0wjsP429OlTgeDOf2Kc5z8QaVORa5B34Ou+0zB04XVwz5gDX33PE6nsSNI2KHPnzsUpp5yCH374wdTuGjduHF566SXWXCvHyUbhV0tG6t0N32Lz7mNx70mUps3oXAwhyqKIy6muUYKmUVgEvUaFIxwunNTkykyU3DFz4gnYuOtIzOMCT1DitsHrD5vJGITohZQCzyEQkvWOkVR/j8MmwheQoWoU/UucmDSyt35MWY051wWn9oFl23um9EmvKOkTibNiV69J2FpyFr4smID5549GeHBJREeLGZRs0qa04eHDh2P48KbmL0z+pGvQWo/wOl8YRZGufZmonF+z7QCAxD05GLkFRwjceRZzNyArGsKyBodNiIuLtaTTNqifK+5xoKmi3iJw8PrD8AbCsFsFeP0yEFGcdudZYbcKsFp4FDgtpgClccz6eh8myV/jAvlz9H3oI3BBrzl+yosIjz0P35w8E/9sHIZDfr2d8fwcb7bV3WiTQfF4PHjttdfw7bff4rbbbsO2bdswdOhQDB48ONPjY2SQ1nqE59vTl2NpKRX5kZXlACJS8tm6KEa74Tlipv0a/WhEgcPPZ49Ieg8kq0VqqUbJuO/6FjkwfVwpKqobsPeHBt2gcCQSVNfTy003rKbitNBuTAm+AWt5MumTeRHpk0L0AfDb9nwYjHaRtkH57rvvcOWVVyI/Px8HDx7EzTffjDVr1uCOO+7A888/j1NPTSJrzcgJWuoRTghJO1Df0mrVZhEQCium35yRmxTmW3HlecOwcu1+HK4x6oQInl+1J67avK0kMjSDKmtQecgLTaPguabeKfl2EaeT7+B8+W1Yt74NvqFJ+oQSAnn4FL1q/fRLQF3ZzU5kpEfaBuWPf/wjzj//fNx9990YP348AOChhx7C4sWL8Ze//AXLli3L+CAZ2SMTgfpkq9KZE0/Au5uqwCEzMvWM7GAT9SwqSdGQ5xDh9UtQVEDRFBypC2DZR/tQddjboupwW1i9tRpOm4DGoAxN03By8DucUb8eUxs2oLccG3uTB5+mFxyWXQqtuH+7zgt0Yu+Ubk7aBuWrr77C73//+5jHOI7D9ddfj7lz52ZsYIyOISsKrRHmTD0ZALBm2wEEJL3/icuh++g9frndx2e0Dkmht9XhuiBWflYJnufQGJBACAdKNWgq0OALQ+AJ3t1Uhd6FjrQn35Z2ATWeEIbiMMbWfYoJRz9Df+lgzHuVAT9CaNJcSJPnZlz6pEN7p/Qg2hRDkSQp7rHa2lomedIFiY6BCDyBJKutyrGk4yqYM/VkzJl6cowwZE/sL95ZcIRAbcWiaBrFoRo/it02XXWY6u2BDYy2w6qqgYh8ypNvsl2Ara4aYw+txZKvXkFpY2XMe47a+6O8/zk47bpfZVX6JOu9U3ooaRuUs88+Gw8//DD+9re/mY/98MMPeOCBBzB9+vRMjo3RAUTHQOp9YRS2kuXVVleBYbg8vjCrP8kSPNckM2/Q/N8JIXqNicent2WWwk0NvaJ3ON6AbGaBpTL5Ru8C3KHjGH90HU49/AlOXr8XAGDo1dZae2NH3+nYXDIdVfaTcOXM4VBPyO4uIZs7855M2gbljjvuwHXXXYeysjIoioLLL78cHo8HY8eOjXOFMboGRgwkFZnrtroKjOcef3NnxsbNiCXaeHARQ5CK7SYAXE4RdV4JbrsVoSiDwhECjer6a4rStG1JZfKVao7gbM9mTDj6GQbXl4OLGo1a0AdS2aX4+sRzseJQMWq8EkrcNlzZQYHxzhZK7UyymYyQtkFxuVx47bXXsGnTJuzZsweiKGLo0KGYPHlyRgbEyB6ZuJFacxW0dI4xg0swuL8be6sbWNZXltGo7sIEdJeVoW+VEEIgCDxKix3Ic1j0IkSNgnAEosDBZuHRGAiD54iZVpxs8iX+Bli2r4Jty0r8beda8LTJCDXy+dhSMBm7BpyHq279JcDxGAQgU3Ku6dzfLWUndmeynYzQphgKoBczNi9oXLt2LWbMmNHuQTEyTyZupPLKGgRCCuobQxAFvX2s3SqYq9VUzjGrbACqj/oQkLpnD/hcQlGpKchIkkTnOQIIHIGqalhw3jCMGVwS8z0aq3eNAi67gEBIiZ98Q35Yv/gXrJvfgOWrj0CUsHn8AO/AFlcZ1heciZ2uMVAgwGkRMOa7+oxO3m25v9va16crk+1khJQNyr/+9S/861//giAImDNnTky8pLa2Fvfddx8+/PDDDmsBzEiP9t5Ixg/WInKQFGLKz7ucVgg8SSo/3vwcYwaX4Po5o/DCqj3wBlimV7Yx5FTsFh6H64JmP/k8u4BASIWiauhdaMe86YNbrIRfcPaQ2PskHIqRPiFR0ifUYoc0fhakyfNw5w43DjVq+nkFDkUOETzPZTybimVtpUa2kxFSMigvvfQS/vSnP2HAgAEQRRE33ngj/vrXv2L27Nn44IMP8L//+78IBoP41a9+lZFBMTJPe28k4wfrsIkQBQ7egAxZ0aXMr54zCgBQedCrF8UJHFwOEQ6bCIvA4WCNH0uX74ipzgchaXUMZLSdQEjGT88fjpWfVeJwbQCqSuENyCgtdmLC8F7YXnEMj7+5CwBFnyJHjHExjMrqrdUgqoxTg7tg2/wGLNvfj5U+ESwIjzkX0pR5kMbPAmx6yN23fRP6Fse37810NhXL2kqNbCcjpGRQVqxYgauuugp33nknAOC5557Ds88+i9raWtx///047bTTcN999+Hkk0/OyKAYmSHapxwIKVBUzexhAcS3Uf1kZTkOH/cl9CdH/2AdNt1YGH29AV2riUQshKpquuAfdE2okKSiwR82XRHvbfo+tewjRkYIhjU89kY5omLqIBQ4Wh/AuxuroNEmaZzDtX688EEFzh5fio27jkCRZQw6/iWm7F6PCas3w6U2JW1Qjoc86kyEplyO8IQfgzoL4s7dUdlULZ3H+B20Rauuu5HtZARCaetJnOPGjcMbb7xhanWFQiGceuqpsNvtuPnmm3HNNddkZDCdQW2tL6H6bSoZT7lMcz94Y0A2u+wZ0uCqquHK84YB0A2C1cKDIyTmOeOHZ9SRRP9gJVlFQaTp0dH6IHxBfddCAHAcwHN6Xk+eXTSbIwUlBcfqWWfGzqK1XaEebwGG+vZhWsM6TPVsRJFSbz6vgWC3YyR2nnAu+l9yFeS8EnPRYrPwAKUIyVpSYUjj3jpjdN+MVt4nivsY5zG06pw2Af6QEndvd3eaz2XtTc7hOILi4ryEz6W0QwmFQigoKDD/bbPZYLVacdNNN3VpY9KdMVxUmkZxrD4IRdU7JAYlBQLPxdxIhp6XzSJAjvSzaO5/NutIJAVBSYWs6r0qJo3sjU93HIQ/JIMQDgJPoKpGYRyF0yYgP9K+tcEXhqywjlqdSVJjQilOCn2HMz0bMK1hPfrIx2Oe3mcfinUF07DBPQW1YgksAgfbv48DpAYOmwBC9N0NQFCYbzGD4leeNwxXnjcsqSBppjKNkmVtRcdW2qJV1x3JZjJCm7O8AOCcc87J1DgYGabGEwIhQH2jBKPHtqpRyIqGq2YOS+rOMmjufzb60a/aXA2NNnXRe2djlZk8xBENAs8BvJ5hpGoUvqDCgu85zAmhA5jmWY8zPRtwQjPpk29tg7DePQ3rC87AUUvfmOc0Ss16lcJ8K4426pItAEVjUEHfIos5cd++8NSkgqRA5gLoiSbKV9bsY7GVDqRdBoXnWQvNXKXEbcO3h7wwemwDuiuD5+IzbAz/s6UVP3dFdQOKC2ywijzqvaE4Q6FR/X3RpOBRZXQwfcJHMa1hA6Z51uPkUFXMcwcspVhfMA0bC6bie2vilt5G90Z9t6l/v3oTLn3RIoVVHDzuA88RBIJynIvlYI0/rnd8tiZ5VhHfsaRsUF5++WXY7Xbz36qqYvny5XC73TGvu+GGGzI3OkabMfqRcBwxK6Yp9Iro5j9cw50VCisxMZTmgbronUxjUDcmiXzyMY+xVK6coEiuxVTPRkxr2IARwX0xzx0Te2G9+wysKzgT39pOAgiBReDAazRh8gQhgMtpQUNk9ws0GRhVQ6T2RZejl1UZL3xQoRuXkIz6xhA0TU/c6FXoMI+ZrUm+LVp1jLaTkkEpLS3Fe++9F/NYSUkJPvzww5jHCCHMoOQIYwaXoLTYgWMNIbMGwBWpATAC6dGvBYBPvjiUNMsLiF3tGRsPo3lW9LRj/J2K0i0je7gUD6Z4NuNMz3qc4t8dI31SJxRig/sMrHdPRYVjOAgh4DgAkQ2mGulRYvxtwHNAkcsGjiN6EJ7ok3S+Q8TxBn2hQojuEgMBOBA9vqY/oydqUA0BSYXHJ8UkiGRjkk9Xq47RPlLK8urOdNcsLyB55kuyDJfWrjn6eEfrAsxY5CAO1Y/J3i2Y1rAB43xfgUeTC9LL52OTaxLWF0zDLucpoIQ3TYwY6SlvKAsDTQsFgSfoW2jHhBG9sWbbAYTCCmwWATMnnhDT8re+UWp6T2QBU+eVIsWUnOl61dWMKWwWIWGL4WzRHX7TbSHT193uLC9G1yTTekXG+1Z+VtmiMeEiyoSs1KRjsGohnO7dhjM963Fa4w6ItEnWJsDZscVVhnUF0/Bl3liopOknb9SekIjOlyBwcFg5NAZlUArwvO4uVTWKgzUBHNxYBZHnUOy2gec5bNx1BIP6ucze79EtCrwBGXVeSd+pAKYxAXSDIwo8HDYBS2+MlW9idG2YQenmZCNFUJJVc8fTHAJdRp3nuBjVWkZmEbUwTmvcgWmeDTjduw022tSjSCIWbHNNwL/dZ+I/+adC5hL3KTJckiJPQDjOVBOOmvv1GJwWcWFFki5qGkJw51lgswpmgkd5ZQ18QdncuTbph+nHUSJp5kYsz27lWWC8G8IMCiOO6Kwcm8gBhCAUVlHitsEXlMHznOlXTxQ/oZSiT5ETPxzzQeQJNApWf5IBeKpgrK8cZzasxyTvVji1gPmcTAT8J+9UrC+Yis/zJyLE2xMegxD9OyNEVxIGgFBYBc9p4Aggy6q5s9Q0au4wzPdD/449vjDESGZWtCvU6A2vUUDkgOJCO/xBGQFJgUoBkedgt/IQBY4FxrshzKAwYoieHACKw3VBABRFLj0gf6wugGK3DYLAQQ2rCYPyPKcHavmI/LkvyJSF2wpHVYzy78aZng04w7MpRvpEBYev8sZgvXsqNrsnwc8n9mtHY2T8EUphs/AISgo4AoiRHWe0/Ujmsow2KieXuuKEGS0CB41ScDwHu1WAzcKDb5RQWuLsUVLxPZGUDErzDK+WuOiii9o8GEbnEz051DdKuj4XdOmWPkUOs7OfO8+CWkWFpsVnBXMEKHBaMGlkb7y7sarjL6KrQymGB/dhWsN6TPVsRHFz6RPnKKx3n4GN7inwCAVtOwX0fvEEgEXk0afIgaN1ASgqhaIm301Gf9dKJDMrunhQ4DlTNt9woYUVDaUlTjPWwui+pGRQbrvttpQORghhBqWLE11roiiaqe1kTDJGZz+e51CUb40EXvX3CjxBvsOiV8gHwtiw8wgLzKdKjPTJBvSRj8U8vdc+FOujpE8ydlroMbGjdQFIcmzMq7USIiGilhCdTu5yWlDnDUUafHFtrvvIZldBRvZIyaBUVFRkexyMHKHEbcORugCCYRWqRqFCrz0w/O3Rnf1qPCGIAgdFo2b1NKUU/mAYIUlB32IH4OnUy8l5WpI++c42COvcU7G+YGqc9EmmCctqXOZeS8aE5wCnXcSyj/aZAowSAJuFR36k66OsqKhtCKFPYXrB9/LKGrzwQQVCkgJV0+D1h/HCBxW45oIRrRoVZog6lzbFUDweD1577TV89913+N3vfodt27Zh2LBhTL6+GzBiQAH2HWgAiUi2aJG00TyxabU5KaIUG5ZVSLK+i+Ejrg6PT+/Wp2oaqo/6OvlqcpNUpE/Wu6fiB1ti6ZNMYgTp091J5kdUqyVZRUV1Q4wApNMmQFU1OOyimQ0YLf7Y2qS/8rNK+INhEMKB5zhoFPAHw1j5WWWLxiHb7W0ZrZO2Qfnuu++wcOFCuFwuHDx4EDfddBM+/PBD3HHHHXj++edx6qnMT9oVMH7UB2v8UFW9i9/AUjfqGwJwO60ISnr/FB76SrUxIENW9KTPVVuq4bQJpotEo3paKUcIWPg9MelKn3QURgyltRRvngOiQyuhsAo3mjS4jPT08soaPPPuboRkFZKimY3WDPFHAK1O+kfrAojWoOMIoFISeTw5rGtj55O2QfnjH/+IWbNm4e6778b48eMBAH/5y1+wePFi/OUvf8GyZcsyPkhGZjFWcrKi6b3dKSDJFIeO+1DvDaHIZUWfoiadJX8wjDqvBFeeBfXeEDSN6sVvGjV3MXqFNQuYRJOO9ElbjYgQycaLrnBvTksSOBxH4HJaEIpq4WuMhEb9W98p6Flg0TG15k3aln20D5KsgCd6n/par15BTylQ2xDCys8qU5j0CQANskrN83GR5JCWYF0bO5+0DcpXX32F3//+9zGPcRyH66+/HnPnzs3YwLoDuerPNVZy3oAcaYZFoFGCQEjvleL1y3Da9WK4QEhGrVefEBoaJcgqhcARaJRCA9Pqao5T9WGSd2ty6RP3ZKxzT8PXzlHQSPvVug0Zk5Zf0/Q3x0Gf7DW9ViTfYYHNwkPgSYxRSqjNhibtNiM1PDrgbtxXosCbCww9C5CC4wgIAQ7V+FHstgFR6r/NJ32XQ0BtYzhm/CoFCvJbnq6YsnDn06YYiiRJcY/V1tbCYklckdsTyVV/bnllDSoPeqBRvQkWzwEguntBVjQU5ltQ6wlBklUoior6xrAuw8HpuxAaCdRzTPjRpDXpk82uSVjvPgNf5o+LkT5pK9HZV+m0UtbFHnUDRAiBVSBwWnkEQgr6FtpxsDZg1qkA+ndsEXlIYRWqpkWq5qm5IxU4ggVnN+nCGTsEI9PLMFAUepFknl1AUNLrVxw20RxX80nfbhNBIgbFMGDG4y2R7fa2jNZJ++4+++yz8fDDD+Nvf/ub+dgPP/yABx54ANOnT8/k2Lo0uejPfXfDt1i1pRpy1EpU1QBKNXAcB1HgwPMcSkucyLOLqDzoBUBBiP46QvTVtqZRU5ypuW+9p5CK9Mk69zRszz8tqfRJW2hPdCXG+EQKG6VIwzUAePqdXQiGm75MCt2gzDr9RGzfexyHavwQeQ4upwhB4OPSjG0ihyO1gYjBij03xwG+kAKHlYc/qMTI9zSf9ENhFSUFNjQGZCiq3rQt3yG2GufJtHYdI33SNih33HEHrrvuOpSVlUFRFFx++eXweDwYO3ZsnCusJ9OZ/txErjYAWLW5OmHRmkYBqmpw51mgqhoWnK1PMI++sTPGWMS4TggBJRQ8x4GQln343QVD+mSaZwMme7bESZ/syBsfkT45HcEk0iftJVOfMiFAIKQgICl45t3dKHJZ4c63IU/VzFbNlAJefxjbK44BhKB3kSPGnRS9QCqvrIE3qKf5AiTufjBaQgclNSbtPNGkb6Su6zI++jXLioa+UXG9ZGSzvS2jddI2KC6XC6+99ho2bdqEPXv2QBRFDB06FJMnT87G+FqkpqYGd955J7Zt2wabzYaf/OQn+NWvftXh40hEZ/lzk7narIIeVE1WrcZxBKW98nDO+FIAwAsfVCR1p3CE4Oa5o83Xef3hhK/rDrQmfVKe9yP8230mtrjLUpI+yQWMRAoAAAVCsopDNX7k2UUEJCXOGByuC0LVKNxOEQ2NUsyuwVggrd5aDYdNl1nx+sNQw4mLJBWVYsKI3pgzNXmJQfPUdUXR4FVUTB9XmsFPgZEN2uzQnTJlCqZM6Vzp6VtuuQUnnHACNm7ciB9++AHXX389Bg0ahB//+MedOi6g8/y5yVxtR+tDkcrlWEVZCsAqcsh3WPDAjWfg+PFG3PX8VviDiY0EiVTOv7Jmn64FFeqGxqQF6RMA2OUYhXUF07DJPbnN0iedSXRcwhDzpBRxLZ0NjFoVj1+O9DXRdyB13hD6FTsBNO3ICSGwWwUcrQuYLqroLDOBJ6iobsCcFsZXUd0Qk7ouCromWGvvY3Q+KRmUbdu2pXzAiRMntnkw6fD999/j888/x9/+9jfYbDYMHToUV199NZYtW5YTBqWz/LnJXG0AhcNmQViWTAlxA1HgYnZORh0AAU3oYuE5AodNwMHjvkhspRsE6GOkT9ajj3w85um99qFY756KDQVnZFT6pDOIq4hv5buL3rFomgZiNjdp+uKb78iNVGQCQIjI1usS+BT7fmjA0uU7Yn4P0W5aj09CQX5s6jqllKX/dgFSMig//elPQQgBpXp2iIHR7DH6sT179mR4iIn55ptvUFBQgJKSph/3ySefjL1793bI+VOhM/y5yVxtfYoceiBUbNqlGPiCCvYfaMBP716NvkX2iDsksTEhANx5FhBCoEUO05WNScvSJwOxzj2tQ6RPugp6vI3CYuGRbxcQitxLzXfkHEfMrDKNRpquaRQ0IpsfnfUIxBY7ev1h1HlD5m4HYOm/XYWUDMq///1v8+9169bh2WefxeLFizFu3DiIooidO3diyZIl+MUvfpG1gTbH7/fDbo8NfNrtdoRC6a1ikrWyBPTWmV2N+TNH4Ok3y6Fqmu7uklWAAtde/CMAwEPL/oNwZBKIUY7VgMZAWO/SF6kfSATPEbjzrHHv70q0JH1y0FKK9QVTsc49rUOkT7oiFEA4rKJBpejf24levfJxTq98uN0OvPnZfhyrC6B3kQNnTzgRn277AbKqoc4T0u8XSuFy8MiziwiFFXzyxSEAgNXCw2bRp6Nitw3H6oPw+MLId4jmPTx/5oh2/ya74m86E3TUdadkUPr06WP+/cwzz2DJkiU4/fTTzcfKyspwzz334JZbbsGll16a+VEmwOFwxBmPYDCIvLz0AqPdraf8wBIHFpwzpKlBloWHwAGPv/4lStw28AQoKbChpiGB4SWAPyjD7bSivlGKflivVuYI1EizrKDUssiKXt1MoGmJdzodTZFch6kRJd9k0ifrC6ah0nZyh0qfdFX0ALuG43VBfLLlO4wZXIKBJQ7cMm9MzOsCfgmrtlSbcRtCAG9QhhCJixw+ruu9EQLUNITMgL/TJiAoqfD4wqa7eGCJo12/ya76m24vOd1TvqamBgUFBXGPWywW+HwdJwY4dOhQ1NfXo66uDkVFRQCAyspKDBkypMPGkKtE6yo1z/gKhlX4JSXhJK+qFJqqQlb0YCrPE1NF2OW0QFY0+IIyJFmFxxdf3BoNpQAlnWtMXIoXUzybMc2zHqP9X8dIn9QLBTHSJ5S0LOvRnWhNlj7V1+jdGbWEtVVGTKTyoEfvDskTUFNwlMIb0Dt/Gl1AD9f6QUhTwF9WZPQrduLea8vizpurChS5yvY9R/HamooO+bzSNigTJ07EkiVLsHTpUnPnUl1djfvuuw/Tpk3L+ACTMWjQIIwfPx5Lly7FXXfdhUOHDuHll1/GTTfd1GFjyHWiM76CkgKvPwxF0VqcKCj0mJjA6z98l9OKfIeIsKJB4AkunDQAFdUNOFYXaDUYn8xtlk0cqh+TvFtxZsMGjPN9mXXpk65IKkaeQi9GbOk75DkCVdNiguXllTVYuXY/DtUG9GZbGgXPNQXkwXEg0He5RtbjyrX7YZiwpvsp8c2VqwoUuUp5ZQ1e/WQ/QNAhn1faBuWee+7BtddeixkzZqCwsBCUUtTX12PUqFG46667Mj7AlnjkkUdw7733YsaMGRBFEQsXLsTll1/eoWPIZYyMr6CkoM4bAkBSyshSNYoStw2yokEK6618o1c2gyprUH3Uh1A48U6no7FqIUz0bseZnvWY0PifOOmTLa4yrCuYhi/zxmZE+qSn0ELZEkikloXnuDhxSI8vHNGH099Mqe7+JJFAvaxosIkCrjxPl215Zc0+FOZb0BhUoCgaBIEzA/7NdyO+oJxzChS5zOqt1RAEAp7Td+DZ/rzS/nWVlpbivffew6ZNm/DNN9+AEIKRI0eirKwMHNexboPevXvjscce69BzdiWMjC+98JBEZMBbf58RQhAFDv6gjOjbxJg0rBYekqyAQ/q9NDJBKtIn691TsT3/NIQ5a8cPsAtBAOQ79KJGLaLVBeiGJM8uICApsFsEBEJNCwgCXbLHZrPEiUOqERVqQgDK6XE0jtOzRIvdNqiqZhoToOk+7VvUJFEjySoEEi91f6wu0Kq4JKOJGk8I7jxLTOp3Nj+vNi3Xjh07hq1bt+Kbb76BIAhoaGjAgAED0L9//0yPr0eSKR+xkcopK6oeII/IWPARV0aylSdHCBp8YWiaBp5rVnEv8pEfOA9R4OD1h1vVWMoUhvTJmQ3rMcm7tVOkT7oK6dQGcTwxixq5ZvkIUlhFUb4NNpEDzxGEIp08OQL0KXJg3vTBceKQgsBBVTVTlZga/0+BAqcl7n5OVgQsRO616N2IwHOtiksmoryyBp+sLMfh474eFXcpcdvgC8nmDgXIbgp22gZlz549uOqqq+ByuTBmzBhomoZ3330Xy5Ytw/LlyzF8+PBsjLPHkEkfsfF6o+GRKOi6W5TSiH88PmjOEWL6uPUUYb3mxKy4rwugX4leHW23CrBbBVQfbcxaLYoufbIHZ3rWJ5Q++SpvDNa7p2Kze1KXkT7pCEjkf7hI3YeqUchKfEAkWjVaz8IiIJQCBCjIa4qfSYqGay4c2eI9aOw0XA4RdY0StEgFvhC5j6J3JdEkKwJ+Zc2+uCJdl1NEnVdKKi6ZTMfO2FX3tLjLrLIBePWT/VBIcjHOTEIoTW8q+PnPf47CwkIsXboUoqivEmRZxv/8z/+goaEBzz//fFYGmi1yLW146fIdcYWJkqyiwGnB7QubumFG/3BsIgcQAo8/bHZfLC1xmquwaCNlSNIDFHl2Ed6ADEp191a+Q0QgpEBWVKgaIPJ634xInSMsIg9ZUeNEAn842phZtxelGBb8Bmea0id1MU93demTjoSLpHsTQhIaFCBa1l7/W6O6i+qEXk0GOtE92Jzm95nXr6sFl5Y4Y3YyqZLstyAQJBSXjD5/9ORpFXkomn6/G59BKtfTXfi+JpDRLK+Mpg1/+eWXeP31101jAgCiKGLRokVYsGBBmwfJ0ElFpTj6hwNQHK4LQtMoCKcLpkgyxdH6YNwqzDBA/YrsANHdF/2LRXiDChw2AU6bAIuo98fwBcJmEyYDSVbBESAQlM1xhRXNXNW2y6ZQikGhKpzp2YAzG9ajj3ws5ul99qFYVzANG9xTurz0SUei6ZsNKEmMif4aCp4jsFo49C1y4MAxH0BpU2agqu9Wje89Gc3vs5NLXe2avJK5whYk2ekk1bGL2lUb9KS4y4SRfTCwpHWl5kzQJrVhv98f97jP54MgsAya9pKKSnH0D6e+UTKD6JoGWAS9+2JQUlCQbzWzOVqSgTF2O/W+MArzLBCIvlKNLm40MHpkFDibVoiyrJptXtOlv3QQ0xp06ZMTpQMxz31nG4gN7qlY556KI9Z+6R+codPK92JIxFsFDkfqAqbKdI0nBI4QszZEoyrKK2sAIKZwFpQiJGvm6jdTq/509fCS69gRhBUNFtbJMeukbQGmT5+Oe++9Fw8//DAGDND9cFVVVViyZAnOOuusjA+wp5GKSnH0D0dRNN0PHnUMLtLzO9VVmGFsDDff7U9uQr5DTGxQKFDrCeGqmcNMN8Ojb+xMy+XVO3wU0zwbMa1hPQaHvot5jkmfZJ5ehXYcqQ0kfZ5ANyZ+SQFoU6qwvuul0KDLDTttAlau3Q9J0cDzHAgBDtf6ARAU5luyEptIRw8vqY5doQ2SoiEUVsARAq8/DH9IQSAox4lUMtpH2gbl1ltvxS9+8Qucf/75KCwsBADU19dj7NixuOOOOzI+wJ5GKquy6B9OdEaNMadrVK9ub+sqzDh+Mij0IGfVYS8+3XEwpTa0RXItpno2YlrDRowIxgp4HhdLsM49lUmfZAGeI7AIXIxcfXMmjeqNryrrAEohCjxcTgtqGoJ6L3cNsFo4uByiLpVSE0BxgQ1WkcfRRgmE6G7XxqCCvkWWTq0JaclFBgCffHEIVYc8CEkq8hwi8h1ijwrQdwRpG5SCggK88cYbWL9+Pb755htYrVYMGTKkUxpsdVdaW5VF/3Dy7UIkyK5XNquRajK71ZpyNse7G77Fmm0HEJJV2EQeYwcXodbb8s7G4wvjnQ1VLfak1aVPNuFMz3qc4t8dI31SJxRio3sK1rmnYa9jWI+SPukoDLscVjQU5VtQ7w8DzdLFLQLB/kNeCDxBSUGeqRyuJ2DocRejU6Le8pdG3Ej6LpgjejqwEaNJtCvuKKmU1hZj50w6Cbf9/d8xuxhWGJlZ2hT04DgOZ511FnNxdRLJguzRWV59Cu0p/XDf3fAt3t1UBQICgdMnja0Vx1A2ojeOJxKQjBA2grzNlrytSZ9sdk3CuoJp2OU8pcdKn3QEQiRhgyMEqqph2thSrC8/jFqv7sYkBMi3iyh02SDJKhRVQVjRYvqZ1HqC4DkOlFJztd+nyIHGgIygpEBVKVToKeiCoL+v+a64o6VSWluMdWZr7p5ASgblvffeS/mAF110UZsHw0idTPVaWbPtAAh0SQxCCAjRoKrAlt3HWn9zBEP65CzPOpzWuCOx9Il7Kr7MH8ekT7IEBwBRrX0VvYk7rCLBkFIXPv3iEEJRCtEcIbBaeARCMrx+XfBTVjTTFcRxBE67BS67XiFvrParDnvx7qYq0KidjqoBFlBIshq3K06WeZXtHUFMWn0kcSCsAYGQAlWjcDmbqvJZgD5zpPTrvu2228ytcEtlK4QQZlC6GKGwPsnIKo3J0motKiJoMk7z7cC0hg0o836eUPpknXsa/pN/KpM+6QiI/l+0FA4hgMMm4vOK45HUYM6soFc1ijqvZEbgraIuJ+8LylAjtSMLzh4SN+mvXLs/xpgYBMMaigniUno7Y0cQvSuKThzoVWCDReTg8ev3qlG02RGtuXsKKRmUM844A59//jnGjh2LCy64ALNmzTIl4xm5Rzo+ayN4nwo8VTDGtxNnetZjkmcL8pj0SU5gEQBKCYoL7KhvlKBGYhsahe6ailgYjuj/Y+g6qRqN7EwBd54VdqsAm1VIWvBXXlmDQy1ki4GQuPusxG3D0fqg2R9e4HXD1acwe/dH9K4oOnHA4w+jd2EkHpRA9JTRflIyKM8//zw8Hg/WrFmD1atX489//jNOPfVUXHDBBZg5cybcbne2x8lIkXR91q5IPUkiCAGIpmKUfzfO9GzAFM9muFWv+bwKDuV5P8I69zQmfdKJhBVdn80icGYaOdCUPm6galpceremUbjzLGar3ZZ2D6u3Vre4ADlU40d5ZU3MfTZiQAH2HWgAiYiTyoqGsCLhrLHZqyuKSauPShwwkgxcTgsCIQVLb5yStTH0VFJ2aLvdblx++eW4/PLLUVdXh48++girVq3Cfffdh7KyMlxwwQU499xzkZ/fM1tsZpL2ZMW0xWftsHIISFGTBKUYHtyn62c1bESxUh/z+q8dI7GuYBo2uqcw6ZMcgUAPnEenkRvp45TqUjpqko2oLyjDIvKwW4UW4wmGcm1NQyjO5cVzupR98/usoroBLocFwbBqStPbLTwqqhswJzOXHkdMWj3PmTsyMZKd1hExk57aBKxNEdKioiLMnz8f8+fPR11dHd555x3cf//9uPvuu1FeXp7pMfYo2psVk67PusRtw36fBFCKk0Lf4cxIm9yE0ifuqdjonoIaS682Xh0jW2gUUFUNdguPxqAWkz5uEXn4AuGExacUekzF45PAReRVBI7g9ic3xU2EpvijU4TH30yGhRC4nGLcfVbjCcHltMCd15RfTinNagwlJq3eIZq9gNxOS8LEgUzTk5uAtTnlprGxEZ988glWr16NTZs2we124/zzz8/k2Hok7c2KSUW6JZqy/HqMO/RaUumTje6p+DeTPsl5eI7gyvOGYfXWaqg1/rj08RdW7UEgJCORt4qCQpJppAsnAc9zCYv+jInabhPhDzYdSxQ4FORZwPMcCqKyp4D078dMEJdWX+wEKIWsAYUJ5PMzTWdltuUCaRmUhoYGfPTRR1izZg02b96MoqIizJw5Ey+88AJOO+00MxOM0XbamxWTinQLd/x7WLe8CfrZa5h3ZHfM+w9aSrGhcCrWuaai2jYAAk9imvMAqfUbZ3QcPKf3JkmUSm64XoKSGtNcLbpfiq4Bx4EQvUd8YyAMUdCD59ETYfREHQjKCIZVOG0CXE5L0mypVO7HbJDos+goBfGeXOuSkkF59dVX8eGHH2Lbtm0oKSnBzJkzccMNN+C0007L9vh6HO1d0SWrFh5XJMO6+glYN78Bcf+2mPccE3thg/sMrGsmfcIB4HkOGtViJP6ZMckdLAIHm1XAvOmD456Ldr2480TUeJpSu5tn/7vzLKj1hEy3WE1DECUFdtgsfMxEGD1RpxInSFfgsTvQGbuyXCGlfigjRoyAKIqYPHkyxo8f3+JO5IYbbsjoALNNrvVDSdbTIVlzopYgjbWwfv6ObkQqNuiNkyJo7t74yHY6PnVNxV7bMKiIlT7hOMDttMLltMDjk9DgS67txcgsqe4ACYDhAwpi+oGs3lqNQzV+KCpFKKxA4DkU5OspwYdq/GamE0d0wUdNoxB5goJ8q6mMYJxf4AnyHRb0KbR3i74hHfWbzuRvOBNk+rrb3Q+ltLQUALB//37s378/6esIIV3OoOQa7V3RkYAHlu3vw7b5DYi71oJoTe15tbxCSBPmQJoyD/LIqXjh7xshyXo+PiIppZTqk82cKQOxcdcReP1hZkw6mhQsCiHApJG9Ue8L45U1+2AT98MbVMBzBP6QDECvQ5EVDXXeEIpcNhTkWVDXqCdgDOqXD39IQW1DCE67AG9ABheptDdOragUHp+Eq2exLqzp0BN3ZQYpGZRPP/002+NgRJG2rErID+sXq2Hd8gYsX64BUZoMgGbLR/i0CyBNmYfw6BmA0BQ0FXi9GZdGCXiO06usNQ3OiP/X4wunXPTIyAxclHxKMqwih5P65uPziuMxSs+E6GnChHDgCKKe0yXb+xQ59DoQWYMvqKAwz4JJI3vrC4dA4uZZzL3ZNjIljdTVYMJKXRVZguWrj2HdshLWHf8CkZoqmKnFDmn8LEiTL0N47HmAJXFVcmmJM6aKWRR42OwiOAJTr4nRsbRkTHiO4NnbZ+DdDd/i7Q1Vcc8bxXsWgYMWcW9S6MV9qqYLf4oCh5/PHoFzJp1kukEG9XPhmXd3IxDR+hJ4YlbacyQ3spN6al1HV4MZlK6EIkPc/W/YNr8By/b3wQU85lOUFxEecw6kyfMQPnU2qF0vMNV/iHtMvzrPE/SP9Js3MnAK8q3mJCSFVXj94YR6TYzOReAJ3t3wLVZtrm7xdYl2lZQCAkcwaWRfrN5ajeWf7EdRXlMK7fVzRuGRleUgpMmYABTuPGunZyf15LqOrgYzKGnS4SslTYO4dxOsm9+A9fO3wTXWmk9RwkE+5SxIk+dBmvhjfHVE1cdWvhMlbhtGDCjAxl1HoKjU9KtDAaqPNuLxt3bBbtGbKYFSBEIK+vXKwznjS/HIynJmTHIQh03Eqi3VULT0to5GcB2UYuOuI+B53SX27SEvHllZjtJiB+bNGILSEicO1wXMwL0g6FXm2dTdSoVcrOtgO6bEpGRQli5dikWLFsHtduPQoUPo169fj6w56bCVEqUQKrfrRmTrW+DrD8c8LQ+fjNDkeZBOvxjU3Tvp2FZtqUaeXURQUqL86hoCkh6Il2QVikahqhqumjnMdIOkIxjJ6BhEgdMz7vzhFreOzeP5HAGKXDbYLLzZbVEzlIahZ+wcawhh2Uf7MKTUhUO1fnCcrrulaRQef5PuVrJJNNuTa67VdbAdU3JSMiivvPIKFi5cCLfbjXPOOQcbN27skWrDWV0pUQq+ehdsm9+Adcsb4I9/H/O0fPJ4SJMvh1R2CbTiE1Iam6pRBEIyVE1vtAQ06TnxHIGq0ZhrOGfSSSivrGEGJQcpzNdbAIg8hzBVdbdUonT3Qju8/jAUlYKAQqPQCxQj3RZVVTPrTQjRDY5K9XqjryrrkupuDUoyiVYd9pq7nmxNrrlW15GLO6ZcISWDcsIJJ+BXv/oVRo4cCUop7r//flitiXtc/PGPf8zoAHOJbKyU+EPfwLp5Jaxb3oBwaF/Mc8oJoyBNmYfQpLnQ+pyc9thEnoOiqhAFHopKTRXaaOHA5tewems1XHkWM0CbDIEnoJQmFRxkZA6nTTDVgO1WHppGkecQ0RgImyoGHADCE9R5QyCEQKMUBPp3bOhXufOsqPNGjAkifVEoIAp63/lQWEFJQV5C3a1kk+iabQfgyrNkdXLtrGr7ZOTajimXSMmgPPTQQ3j66adx9OhREEJw7NgxiKKY7bHlHJlaKRnSJ9bNb0D8PlZMU+lzMqQp87Cz/9l44zsbag6FUPJJA2aV1bT4A000Np4DwrKe3UMjGTtNULic1rhr0H8UtNX0VadNiBcIZKSMuTtIwSAHJAVHav0RKXoCu4WDLyCDADihlxMThvfCpzsOojGS+ksjTi8CwGLT9bVmlQ3AyrX7YTjFor9ao8WvzSLEtAEGmu6NZJNoKKygRLDFPZ7JyTXX6jpybceUS6RkUEaNGoW///3vAICzzz4bjz76KAoLC7M6sFykPSslrv4wrFvfSih9ohafAGnSZZAmXwZl0FiUf1sbcS+EU3YjNB+b1x9GSFbhsAlQVApZ0Y2K/hvgkOcQYbPwceqrNpHD4bpgq9fDjEn7oBRIdXNnpAPzvN7vJBjWa4VCYRWHavz4oD4IUeBAOF2Xy4DjCK69cKR5z7yyZh8K8y3w+GXIii5xT0iTUvHMiSdg464jCe/v1VurE06iLRmhTJJLdR25smPKxcSAtLO8Pv30Uxw6dAjPPfccvvnmGwiCgKFDh+KKK65A//79szHGnCHdlVJr0iehskshTZ4HZchEXeskQlt8tM3HFpY1UzrFQJJVc7Wa9BpIZAXL0ryyjvEZWwQCQggkObmJ4SLbS57nQKmGxoCsZ2txBGFFM2NehOjxMY4QqJoWc88YK+vSEl3Msd4bgqyosIq8KQsyqJ8r6b2RaBJNZIRaksDvDuTCjilXEwPSNih79uzBVVddBZfLhTFjxkDTNLzzzjt45ZVXsGzZMowYMSIb48wZWlsptSh94iyAdPolkCbNhTxqGsDxCY/RVh9t9Nhuf3JT0mMYrzNWOK+s2YcSdzXmzxyBUFhFkcuGmob4c0VrPDVXIGakT0ROCxQEN10yGq+s2dfCd0ygKBpEgUPYvKVo3PdAqS6ZwnN6/CT6eNEra0DP4qIUKMq3oOqwN2aCvGpmrO5US5NotBGyiRxACBSN5tREl2k6e8eUq4kBaRuUP//5zzjzzDOxdOlSM44iyzL+53/+Bw8++CCef/75jA8y52lR+iQP4Qk/hjRpLsI/OjtG+iQZmfDRtnYMY4UjKxqCkoq6Rgl/fOlzuJx6XwurpSmQb6x+ozWeGG2nIM+CUFiFomrgOQKryGPM4BJcNRN44YMKeP2x2mmcEW9BU1yLoOXvQdMoHE5LzD1jTDQrP6vEodoABI6gyGVFvS+MtzdUgRDAIvBQVC2hEUg2iUY/vnT5DigUOTfRdTdyNTEgbYPy5Zdf4vXXX48JyouiiEWLFmHBggUZHVxO05L0iWhDePwshCZfhvC4mUmlT5KRCR9ta8dYvbUasqKhMagHd3kCKJqGGk9IDxhzeloqJSSmdwajffAc4M6zwg0gKCloaJQQlFQsXb4Ds8oG4JoLRuCZd3cjFJFJsQoc/JICVdNVDiiNNe5JiWh5+QLhONfT6q3VKC1xgOc4BEIy/CE9o49SvU6pMagh3y62yQgY98/RRgmKqkGINOvq7Imuu5GriQFpGxSXywW/3x/3uM/ngyD0jMJ7+78eh+PNP8VLn4w9V9+JnHoBqD1fdymt3JO2nzUTPtrWjlHjCSEoqSBARGqDmgFd3pDfgN71T1YouEjdCqPtWEUOWkRTS1U1szWt0ybEVK0bcQlD/pzjCPwhxVQ2CEoKar1S0vNwHIHI66sAhSLO9WT0hldUaopCGu5M414ISmqbjIDNwuNwrT9SSKu7Ruu8ka6JjIyRK4kBzUnbAkyfPh333nsvHn74YQwYoA++qqoKS5YswVlnnZXxAeYa5ZU1+NFbTyAv4IEGDvWDp8By9gJIEy8CdRbGvK49QbNM+GhbOkaJ24a6Rgl8JJVYjXKfKBoF0ShEgUMvtw0hWe/ip+s8JdaKYrSORoELJw9ARXUDKg96wHMc7FY+skMgZtX6xl1HcMbovqiobkCNJ4S+RY64BcXtT25KOOELPEFhvhVWkYcSKVwFYl1PJW4bfCEZPKdnjQG6MTHELwgAWW3japdSmKnJ5i3FtriZJhcSAxKRtkG59dZb8Ytf/ALnn3++mTpcX1+PsWPH4o477sj4AHMJw0gMGHknTgp+i6/cp6KBd+PKE4dhTJQxAXI3aGYwq2wAKg/tgqbpFdXNf+6GSu2h2gBKS5yob9TARzLRWAvg1DHchYQAAgfTSAAELqcIXzBiTIjhcqLgeQ4V1Q0tNrWyiRx4znBHNhWYckTvLf/Kmn1JfexXzRyGVz/ZD4WoEHgOlKoRZWHdomhUzxRry2o3JGsozLegMaiY1fb5dgGhFjLYGG2jsxMDEpG2QSkoKMAbb7yB9evX45tvvoHVasWQIUMwefLkbIwvpzCMRE3hENQUDgEA8LKa0EjkatDMYMzgElw4aQBWba6GnKS6zvBwHazxRyyIHqRnxiR1eI6AArAKHGSFosGv1xZ5/WHUN4ZBKTUVCyh0QUbjPomuMzCyp0JhFSVuGzwBOWbitlr0iRsgGDO4BCXuxHUjJW4bxgwugdvtwGtrKuAPynoA38JBVjQoqgaOcLhwUttWu4Zvv29RfLo6o/vTpqAHx3E466yzeoSLK5p0jESuBs2imTP1ZAzq58Ljb+6CGunYmAjDW6FpFJRjQfp0iHZr5TlE834oyLei1hMEhb4rIRFD7XKIpkvx8bd26TpsgC6lEhF6bPCHEYoIfPYtcpjnip64m/vYGwMyfAEZ/qCMpct3YP7MEeYOKJMFcrnq22d0DF06iv7xxx/j17/+NWy2pkn63HPPxYMPPpiV86VjJLrKD2vM4BIM7u9Cgz+MOm8IsqzF7UB0mRACgSfo5bbhYE0g4bEYOiTyP0V5FoRVirCsr/wDIRmiwMFu1bW5ilw21HklUErBcxxcThE8zyEQUuCLxKx4oqcHU+jJEo0BGX2KHMhziPAFZdisQsL7K9rHfqjGj2BYhdMuwOW0oMEfxtNvlmPBOUNMt0mmXCft9e3nYvU3I3UIpV13rfnwww+juroaf/3rX9t8jNpaX2LV1l75Zkc7g+hAe/SP2Kgybk4u/jgSjQnQq6A1CtR5Q3G7D4Enet2DRnV3iy8MVdOYMGQSrCKH2WUDMKify7xf6r16Gq2xyzAUgBMpF/gCYRyu0422RmN3gwJP0L9XHiilaGiUUFriNN83YkCBGaOJvt+WLt8RtxBSNQ15NrHFOE1Hk+7vK10S/aZ7Apm+bo4jKC7OS/hcl96h7Nq1C1OmTOmw8yVafY0YUBBVbR5rNHIpaFZeWaMXtNX4IfD6atjIPDtjdF9YRR6H6wIJXVmqSmOKGg05fLUHRVN4LjUhx77FDgRCCrZXHMOqzdUgRHdvuZwi6holUAp4fJKehh3ZUTS/T25/clPEgMcfX1EpjtYFYLcKKC1xxritkmUVJnLVWkU+Z+J5BrmeyMJonZw2KJIk4fjx4wmf69WrF77++mtQSvHKK69AlmWcddZZuO222+B2u7M2pugff67q6TTHGKfHFzalzet9YRTlWyErGlZtrkZxgc2sxm5OtNnw+iVwHAcakUfvKSYl1d1YMCTD65fNancCfddX5LKhKN8Kr1+GrDTtTBLdJyVuGxp8EpJ9urKiIaw0Nb4CWp6ME7lqJVnNqXgekPuJLIzWSdugvP3220mfs1gs6NOnD8aNGweeT6xTlQ5ffvklfvaznyV87vHHH8eQIUNw7rnn4uKLL4bX68Xvf/973HbbbXjmmWdSPkeyrRugbxVb4pOV5bBaeNgs+sdoEXmEwgo++eIQzpl0UspjyDbGOPUeKASAXgXvC8q66i2lIEQvYExmJCKakbHdAFmxYxzNVZgp9M+3MSCjfy8nrBYehS47HrjxjKTHmD9zBO57YSs4Tnd3Nd81WkR9AVN5xGfeo3W+MPLtQkwnVYEnqPeFccPcMXj6zXKomq4KLMkqFIVi/swRrd7jHUm/Xnmo9wZhizJ8obDemjpT48yl6+1IOuq60zYoTzzxBA4cOABN0+ByuUApRWNjo3kjU0oxaNAgvPDCCygtLW3X4MrKyrB3796kz5977rnm3w6HA7/73e9w+eWXw+fzIS8vuaGIJp0YSnMOH/fBYRPMHtyAHrw+fNyXU75aY5yGqCNHKACKsKy7skSeoN4bSpq9RYjRrEuDpgEEGgojq22NUlgErkWl3J4IAcBHPm+qAWFZgS8oQ1U1nDO+tMX7Y2CJA6XFDhyrD0KjFKqqy64Autpw70IHKKUx91lRniXhLqQwz4KBJQ4sOGdIjKt2/swRGFjiaPd9msk44TnjS7Hso31QVBoTQ2nt80oVFkPJDC3FULiEj7bA/PnzMWzYMLz33nv4/PPPsW3bNnzwwQcYPXo0Fi9ejA0bNuCkk07Cn//853YPvCW+/fZb/PnPf4aqNjlpJEl3x1gsHZPzXuK2xVWNt5QaXF5Zg6XLd+D2Jzdh6fIdKK+s6YhhmuPUpez1trAUeo0EzxE4bGJEqDDx7cBHpNMFngMBYBX1eoeTS124+IxBOKmfy3xNdyfVyzRkTHhO/5tSwOsLQwrrdUutfffzpg+GO8+CkgI7LCKn71SgpxUD8ffZrLIBUFUt0kyNwusPo7YhhIM1fixdvgMAcPvCU7H0xim4feGpmDCyTxuuPhbDlWrU1hgu37be12MGl+DK84ahwGlBIKSgwGnJWECe0TGkvUN56aWX8Nhjj2Ho0KHmYyeffDL+8Ic/4Oabb8ZVV12F3/zmN7j66qszOtDmFBQU4PXXX4fT6cSiRYtQU1ODBx98EJdeemmHGZR0UoM7Kt6SqBjOE6lbyHOIKMy3wuPTW8f2LbZjwoje2LjriKnhlCz4TCk12wZfP2eUKX+/7KN9CEbEC3sC6V8mAcdR5NktcNj0FN/Wvvt3N3yLNdsOICAp4AiBKOiyLEYr4OZN0aKPkyxNOBv3WjaC6LmUyMJIn7QNSiAQSNj+l+d5+Hw+AIDT6UQ4HI57TSYpKirCc889h6VLl+LFF1+EKIq48MILcfvtt2f1vNGkk3PfERks0UYLoJHOixRFLht4jsAXlGG38Di51BUzzkH9XFGS5hwK88WIcGAYdkuk42NEaj26gnrlZ5Woa5RidMC6K0LE5RSd8WYoMjfH2MSoml517s6zQhASf/dA7P1TmGfB5t3HzGNplEKSKSaP6o16X7jF+8yYjJunCWfiXkvk2mJBdEZz0jYoU6ZMwb333ou//OUvZofGH374AUuWLMGkSZNAKcUbb7yB4cOHZ3ywzRk3bhyWL1+e9fO0RKorqo748UUbrfpGKSL2x5nFcDarACEy2xlNtaLTVr+vCeC1NRURQUI7po8rxfaKYzhaHwJPgD6Fdgzq5wKgTzCHavxtWLF3XYyWudHKAYmgABxWHgP65GPEgAKs2vw9NEohCrpasD1SjHioxm8uAAgBvjnQkDSb7D/7avDU76anNM5M32vJdtc2C98h7X8ZXYe0Dco999yD66+/Hueeey6Ki4uhaRrq6+sxevRo3H333Vi3bh1eeuklPPXUU9kYb5elI6RYoicSRdHAEX0CVCKzlKKoOOaV0DuBpPmYwSWYMLIPBpY0SXmUV9Zg464jKC6wmfIdj7+5CzYrD1XVJe21brA7KXbb4A/KCCtajJEwMttcThEhWUM43HrlDUf0fid9Cu2mS5QQYjbEMlKIOU4P2Dt4DppGUesJtWic01F4zvS9lmx3DUr1uA1yWw2C0XGkbVCKi4uxcuVKfP7559i9ezd4nsfw4cNRVlYGALBarVi3bh1cLlfGB9uV6QgpluiJRBA4qKoGGol7AIDXL0NIw+0WPZEEJQWNgTAoRURKRO02u5PayMrdYeUhKZpuLAlQmGeBrEX6udMmY+K0CWZTqmj0j5mYDaWMz8+dZ0Fdo6SrOlOgoVGCO88CniewCByO1Qdb1UZLJ+Uh0/dash1PIKTgqpnDck4NorvR3ky67XuOmp6HbH9HbSpsrK+vhyAIGD16NAA9YLthwwbs3LkTN954Y0YH2F1IFm8B9LapmRbmy7cLqG8MA9CQ77DptQeqhuJmq9SWXCHRE4leqEfAEQpF1SAKPGRFg0bjpe8BmNLqXaldcCAiuFjitkIQeKiqhlNOdOHziuMxSQfBsAqBJzHxFCEqrdfYDRifH4kYcG9AhqLoRv7K8/SJuMEfhqLG66c1p/n31hKZ7pXR0o6HBdGzS3uTecora/DqJ/sBktgrkWnaVNh41113QZbluOcGDBjADEoLNP/xZTrzq/lE0q/IbkqeFzgtEDgCpdm2wusPIyxruP3JTejXKw/njC81jxM9keiy5kTvmxEpaDQmWY7EZj+RiKuNIHXJklxBoxROu54lKAHY8U0NAF1iXtV0Y6BpFIQj4Hk9KG/qbRHAbuHN3YBhMKwiD4dNhMMmmvpdxme87KN9kT4kyU2Kwypg6o/6prXwyORE31WETrsj7U3mWb21GoJAzJKAbMvZpG1QnnrqKVxyySW47rrrMG/ePLz44ouora3F3XffjUWLFmV8gN2Zjk67NAyYMTF4/WF4A2G4nVY4bALqvUHToAGALyjjWF1Ad5lRCpVCb8WlUXBRNSsaBUSBQ2G+FQ2NElRN01fqYRWIGBe7RcDYwUXYsudYTkvfR4/NKNjkuUgDLAIYGy5VoyjMt8IXkGHlAUI48DyJ6a5YddiLVVuqoWoUIq/L2IsCF6cIvPKzShw4rrfVjnzU0CJNufoXO8zU7s6S+MnV7oA9gfYmWES3e27L+9MlbYNy4MABPPnkkzjxxBMxYsQIHDt2DNOnT8fixYvx6KOPYu7cudkYZ7eko9Mum08MYVmD22mNFDwCNpGHolKsXLsfkqIbhWJDXZjqrk0DGtl2cETvj8NzBHarAEr1ALPdou9qjMZcVguP/Ye8mDSyd0xabC4SCMnwBmSEZb1oVtUoNKrHVXgO0CKX1afQjqtnDU+qNL1x1xHk2UUEQjIUVYU/SHHh5NiJ2FgAlFfWYOXa/ThaHwIIRWmRA/OmDzbTgNNZeGRD5Zq5tjqH9iZYRLd7bsv70yVtg2K3283V6cCBA7Fv3z5Mnz4dI0eOxPfff5/xAXZnOqMJV/TEcPuTmxIatMM1ARQX2PRxRdw1Xn8YXn/YdHPFaHpFZZLxPIfSEifqvBLQLFVWklXU+8LId4h6p8Ac3anUeEK6plnU+CjVdye6ASXoV2RvUfrd2H06bLxpsCVZRUV1A+YkeH1LE3Y6C4+uIljKSI32uhtnlQ0w2z13hLsybemV8ePH4/nnn4ckSRg1ahTWrl0LAPjqq6/gdDozPsDuTHO5jEQV0NkkmXQMoGspRRMIyaAAbBYeQqRfBc/prhlVo+A5Yo5/3vTBcNgE9O+Vhz5FDtitEfHMyCTYv8QJl9OSsoxJW2jLsY23GIaE54gZbDeg0LO85s0Y0uKxajyhuM+wrbvPdCR+ot2ohBBYRR48z5lFlIyuRXvlaMYMLsGiuWM6TM4m7R3KrbfeimuvvRYDBgzAggUL8PTTT6OsrAx+vx8//elPszHGbktn+6abr35CYQWqqqFPkSOuYE1RNYi8vtqu84agak3BdlWjuqurIYQ+hfok19LuyzivO8+K+kYpK9dmxCCMavbW4jY2i35ttZ4gAGJ2qQQAnqNQNd3dxRGCay4c2ep3lMndZzqrVFa93v1or7uxeX1ZNknboIwYMQIff/wxgsEg8vLysGLFCqxZswZFRUWYPXt2NsbYrelM33RcVlgkywtA3ATGET2obLcKyLOL8Pgi/T4iCUqEELjzRCgUZtOujbuOJJwEo8+bLYNCoNff9Ct24HCNH4QAYSWxVeE5YrrlDF+zUXioF4cSWC160kF0hlZLZDIzqqWFR/N4CateZ3QmGWsBXF5ejj//+c9YtmxZJg7XYbRHvr67EX3NzSeqEQMKzEyjem9Izxohus/U6KLC8xz6FjmStrZNtPv65Z/X6v1YIv9O5WY0UpI12pSWzBE9fkMpNXcWikYhcCQywXKwWXh4/XKzni66wRA4gkKXDYGQAlD9Wrx+CXqaGpBvFyEKXFrugmy3gE7UMjcQlAFCTCHKZG10s3l/52Lra6Bn/qaBLtoC2OPxYMeOHZk6HKOTSbRzGtTPhdVbq3GsLhAJtouob5T0lFqqy70ATS6W1lKYV35WCY3GB/lbguf0rDJF0SJaZQSE6C4tu4WHX1KgUWrWh6iAXn+jUvhDCghHIHIRZWWeg8shojGS0VXgtGDSyN7Yvvc4jtYFAOjy/lYLH5MO3J7PMNln0ZYJOFHaOQAIBMhzWDplQmdJAT2bnG4BzMgtotVsfzjmi9KfajIHR+oCsEcm4GSUV9bghQ8q4A+mr0itFxZq4Dig2G2H3SogKCmo9QQRCusNpbx+GQqlEHiCwnwrAJj93DWNImzuSHUDWFJgQ55NxKyyAXhh1R6Ewmpk90Ngs/ApxUzaSnsm4JYkUe5tIQMtm7C+8D2btLO8GIzCPAv8ISVh2q+iaPAGwhgxoCDhe9/d8C0eWbkzkoIc/3wq2VkcIShy2czsMbtVQJHLFqmT0Rt/uRwiSkucZoV6Ub415tjGn3VeCb6AjFllA7By7f7IddFI9b++q1m5dn/rg2oj7cnKSrfBW0eQyew2RteDGZQuRmd1fYzmq8o6U8m4OaLAwe20oqK6Ie65dzd8i3c3VZlurmiMQ/Echzx77KpbT9/lYBU5FLlsGNzfHen5EvUansPg/m6zI2FpiTNmsnXYRBCiizH2LrTDauHNYxfk65pUR+tDZnYXISTy/9CLDbNEeybgzk47T0QuGjlGx5GSyysVKfqqqqr2joXRCrninw6FlYj4ox7wjlai6lOk9zuv8YTiYgPfHvKCRMU8ouF5fQI3mn89/tYuaJH6FsOt5rBZYtKOW8qgSvQaQxzTbhXM3Q2lFEHJUA6mpiaXAaUAIe3PW0kWJ2lPenFnp50ngul+9WxSMigrVqxI6WD9+vVr12AYLdMZ/ulEE6HNole98yS24ZThUgorGmwiF2f8wpEeLXwkSB4NpYDNypsT4oWTBmDV5mqomgaB5+CwWaBqFL5AGK+s0Zs7gVIEQkrCiTTRZJtIHDOsaOgdiff0KXLgcK0fGiVRgpcUfYraV7Db0kKgvRNwrkmi5KKRY3QcKRmUTz/9NNvjYKRARxetJZsIxw4uwtaKY2a6rmEb8uyi6XYRIrGAaONnpPoKhEDgY9vp9iuyY96MIebEM2fqyWZWWY0nFEn5DUOJNAczJt6rZiZP402m7tx88p47Xa96nzd9MF74oAIhSdEFLjkONpsF86YPbtfn2NJCwJBv6U4TcK4ZOUbHwbK8uhAdrf2VbCKs94UxZ8ogrNl2AKGwAqvIIc+uxyiM+pNX1uyLM34upwiPX4aqUVMTi4JizpRBmDP15LjzR09MS5fvgKLRdu3OTHXftftxuCYAfffhiHn+mgtGZHxyb20hwCZgRneBGZQuREf7p1uaCAf1c2FAn7ykE2+JuzrO+NltIkSBRyCkIBRWYLMImDnxhITGJJryyhpUHvQk7Mvelt2ZpGhmW+OwouHpN8ux4Jwh5sSe6cm9M0RAGYzOgBmULkRHdH2MJtlEaLPwrSYHjBhQgFWbq6EYWu8EEDgOF04eEGdAWirsM9xUyfqypzspJ9p1qZqW1TgUC1QzegrMoHQxmhuVlZ9VwusPw2EXM575lWwiFAjXYnKA0QtEFAhkQ6qLAhaRw8ZdRzConyvOYDQ3TlWHvaiobkDlQQ8I0QsM/ZIS15c93Uk50a7LKvJZrZNggWpGT4EZlC5G8wn4SG0AqqY3sCIin9HMr2QTYaL4SLT7ydgFqFTvtW60DlY1ahbtRR9bUSkaAxIUVc/oEniCVVuqUey2mTpffkmB0ypAUrSYvuzpXmOiXZckq1l3P7E4CaMnkJJBee+991I+4EUXXdTmwTBap7nLRqMUhADegAyHTQSQ2cyvRBNhovhIdEzA2AUokTRhoKkJV/OxHarxwx+SQQgHjujpxKGwCkL0nYMo6F0kCSgkRYsRn2zLBJ1o1wUK5n5iMDJASgbltttuS+lghBBmULJMc5eNwHOQI6t2g2wHfFuLCRi7AEHgoKoaNE0z2+YeqQ2gd0HT2PR6FBJjeKIx+q8Y4pPtrQZPtOuaP3NEh/WLYDC6MykZlIqKimyPg5EizV02RlMontOl2zsi4NtaTMAwOHYLD49fjSl8VDUN3qCC8soajBlcAp4ngALTtWXUpRjvMXS6GiLijkZacnvcR813XS3J9rNYB4OROm2KodTV1eG7776DpumrYkopwuEwdu7ciRtvvDGjA2TE0nx3wHEETrsFLruQtGo8G7QUE4g2OF5/OEaaPt9hgc0qmHGU/iVOHKkLIBhWoSgaBIGDVdQlXSRZNa/RnZfd1qVAZqVtmGFi9ETSNihvv/027rrrLoTDYRBCYPTnIoRgwIABzKBkmUS7gwVnD+m0ySrZxGmMZ98PDeA5Ympy+YIyxKg4imEgbdbYhlDnje6LiuoGHKrxQ1EpeJ6YCrzZutZMSdvkiuYag9HRpG1QnnrqKVxyySW47rrrMG/ePLz44ouora3F3XffjUWLFmVjjIxm5ErGUGsT5+qt1RB4zlQX1vWxCDy+ME4udZmvAxK7zwZFju+IdCTM9sScKWkb1hOE0VNJ26AcOHAATz75JE488USMGDECx44dw/Tp07F48WI8+uijmDt3bjbGychBWps4azwhvaujLxzT5ldRaUyMJ5mB7OiJOVMV7R2tucZg5App90Ox2+3gOP1tAwcOxL59+opx5MiR+P777zM7OkZO01ovjxK3DYLAoyjfCp7noFG910hpsSMlg9DRzZoy1V+E9QRh9FTSNijjx4/H888/D0mSMGrUKKxduxYA8NVXX8HpbJ/MNyN3SdTYq7WJ05igeZ5Dn0I7ehXa4c6zYN6MISmds6Mn5jGDS3DlecNQ4LQgEFJQ4GxbIkAuNr5iMDqCtF1et956K6699loMGDAACxYswNNPP42ysjL4/X787Gc/y8YYGZ1MsljJGaP7YuOuI0nrUdorOdIZGliZiE8xqRVGTyVtgzJixAh8/PHHCAaDyMvLw4oVK7BmzRoUFRVh9uzZ2Rgjo5NJFsuoqG7AlecNw8rPKnG4xg+AoE+hDVWHvRmZTLvyxJwriRMMRkfSpjoUu90Ou90OAOjVqxeuvPLKjA6KkVu0FmSWZBXFBXZYBA6NARnvbqqCy2GBwBN8e8iLR1aWo7TEiXnTB6c9ybKJmcHoOqSs5XX++efDYrG0quvFpFe6Hy1lPzXfvQQlBQQEvqBsqNaDEIJj9cGYlF9W+MdgdD9S1vKaMmUKiouLW9T1Ylpe3ZOWYhmG8nAgJMMbkCGFVVNCxVAaBtGlVQylYQCs8I/B6IakreXVkq6XUTWfaaqqqnDFFVfgzTffxAknnGA+vnbtWjz44IM4ePAgBg0ahD/84Q+YMGFCVsbQk2kpllHirsaRugAag7JZZ9Kkx0WBiHS9EClOrPGEWOEfg9FNSTtt+JxzzkFDQ0Pc48eOHcOUKVMyMaYY1q5di4ULF8Lj8cQ8XlVVhd/+9re4/fbbsX37dixYsAA333wzAoFAxsfA0I3K7QtPxdIbp+D2hafGCEH6QwoQqTHho+SCVQ3QKABQuJwW003W0fUlDAajY0hph/Lvf/8bO3fuBAAcPHgQzzzzDByOWLnvqqoqqKqa0cE9+eSTeP/993HLLbfgzjvvjHnurbfewsSJEzF9+nQAwE9+8hP885//xKpVq3D55ZdndByM5IwZXAK7hddrLTQKUeCQb+HhC4ShaLrcijvPCo4jppts9daW+6kwGIyuSUoG5YQTTsADDzxgurQ+/PBD8HzTZEAIgdPpjJv0W0OSJBw/fjzhc7169cLcuXNxww034ODBg3HP79+/H0OHDo15bPDgwdi7d29aY2C0n9ISZ5yBsFkFCATIc1hQ4wnFyc6nWl+SavA+3SB/9Ov79crDOeNLmbuNwWgnKRmUwYMH48MPPwQA/PSnP8Vjjz0Gt9vd7pN/+eWXSYshX375ZZSVlSV9r9/vh80Wu6K12WwIBoNpjaG4OC/pc7165ad1rO5AW655/swRePrNcqiapsdDZBWgwLWXjsGEkX3iXn9Or3y43Q68+dl+HKsLoHeRA3OnD4l77fY9R/HqJ/shCLp8vS8k49VP9sPtdsS8NtXXJXt9vTfY4uu7K+z+7jl01HWnXYfyj3/8A3V1dfjPf/7T7n4oZWVlbd5R2O12hEKxPvdQKITevXundZzaWh80LT6ZILrpUk+hrdc8sMSBBecMidshDCxxJD3ewBIHbpk3Juax5q99bU0FQACe43QJe46DQlS8tqYipsNiqq9L9nqbRYBPlZO+vjvC7u+eQ6avm+NI0oV42gblnXfewR/+8IeYfiiE6IHYjuyHMmzYsDhjtH///qwkBjBaJxsFiKmq9qar7svUgBmM7JB2lteTTz6JSy65BB999BFcLhfefPNNPPPMM+jXr1+H9kO56KKLsHnzZnz88ceQZRn//Oc/cfjwYZx33nkdNgZGdklVHDJdEUmmBsxgZIe0DcqBAwfwi1/8IqYfyrRp07B48WK8/PLL2RhjQoYMGYJHHnkEf//733H66afj9ddfx9NPP42CgoIOGwMju6Sq2puuum/z14fCClMDZjAyQNour0T9UKZPn57VfignnHBCwljLWWedhbPOOisr52R0PqmKQ6YrItn89SzLi8HIDGkbFKMfyuLFizFq1Ci88847uP7661k/FEZWSDU2k24MJ/r1PTVYy2BkGtYPhcFgMBgZgfVDYTAYDEZGaFM/lNraWrz++uvYu3cvOI7DqFGjWHYVg8Fg9HDSzvLavn07LrzwQqxatQo2mw2CIODNN9/EhRde2KISMYPBYDC6N2nvUP74xz/i4osvxj333GNme6mqij/84Q9YsmQJ/vGPf2R8kNmEi1LHTee57kpPvGagZ143u+aeQyavu6VjEZpmE5OxY8fi7bffxkknnRTz+Lfffou5c+fiyy+/bNMgGQwGg9G1SdvlNWTIEPznP/+Je3zfvn0YNGhQJsbEYDAYjC5I2i6vK664An/605/w7bffYuLEiRAEAV9//TVeeOEFXHHFFTE951k7YAaDweg5pO3yGjFiRGoHJgR79uxp06AYDAaD0fVI26AwGAwGg5GItGMo0SiKgq+//hpHjx7N1HgYDAaD0UVJ2aC8/fbbmDt3Lg4dOgRA7z0yc+ZMzJs3DzNmzMDixYsz3lOewWAwGF2HlAzKBx98gDvuuAPDhg2D3W4HANx+++3w+Xx47rnn8Oqrr+Krr77C//3f/2V1sAwGg8HIXVIyKP/4xz/w29/+Fn/6059QWFiIiooK7N69G1dddRXOOOMMjBkzBr/5zW/w5ptvZnu8DAaDwchRUjIoe/fuxbnnnmv+e9OmTSCEYMaMGeZjw4cPR3V1deZHyGAwGIwuQUoGhVIKi8Vi/nvbtm3Iz8/H6NGjzcdCoRCsVmvmR9iJlJeX46qrrsKECRMwbdo03H///QgGg509rA6hqqoKp59+Og4cONDZQ8kaNTU1uOGGG3DaaafhjDPOwGOPPdbZQ+owesL3a9ATf8cff/wx5syZg/Hjx2P69Ol45JFHoGla629sJykZlOjqeJ/Phy1btuCMM84AIU2aLmvWrMHQoUOzM8pOoLGxEddddx3OPfdcbNmyBa+//jq++OILPPTQQ509tKyzdu1aLFy4EB6Pp7OHklVuueUWFBYWYuPGjXjppZfwxhtv4P333+/sYWWdnvL9Aj3zd/z999/jt7/9LW699VZ88cUX+L//+z+sWLECb731VtbPnZJBufLKK3H//ffjz3/+M375y18iFArh6quvBqBL2b/00kt45plncMUVV2R1sB3JwYMHMWHCBPz85z+HIAjo27cvLr74Ymzbtq2zh5ZVnnzySTz00EO45ZZbOnsoWeX777/H559/jv/+7/+GzWbD0KFDcfXVV2PZsmWdPbSs0lO+X4Oe+DseOHAgtmzZgunTp4NSirq6OsiyjKKioqyfOyXplUsuuQSSJOG1114Dz/P429/+hnHjxgEAHnvsMbz++uv45S9/iUsuuSSLQ808kiTh+PHjCZ876aST8Pjjj5v/ppTio48+inHzdUVauuZevXph7ty5uOGGG3Dw4MEOHlnH8s0336CgoAAlJU1tg08++WTs3bu3E0eVfXrK92swYsSIbvk7bo28vDwoioJx48ZBlmWcf/75mDZtWtbPm7KW1/z58zF//vy4xxctWoT/+q//QmFhYUYH1hF8+eWXSdsWv/zyyygrKwOgF3Dec889+OGHH7r8VjnVa+7u+P1+MwXewG63IxQKddKIOoY+ffp09hA6je70O04FnuexY8cOHDp0CL/+9a9x77334t57783qOdvUsTGavn37ZmIcnUJZWVmrK9La2lrceuutqKurw7Jly7r8DzKVa+4JOByOOONhtLVmdD+62+84FQghsFgsGDRoEG666SbceeedWTco7ZJe6e7s3bsXc+fOhdvtxquvvor+/ft39pAYGWLo0KGor69HXV2d+VhlZSWGDBnSiaNiZIOe9jv+9NNPcdlll8U8JkkS3G531s/NDEoSampqcM0112DWrFl45JFH4HQ6O3tIjAwyaNAgjB8/HkuXLkUgEMD+/fvx8ssv49JLL+3soTEySE/8HY8dOxYHDhzAs88+C1VVsX//fjz55JNYsGBB1s/dbpdXd+XVV19FTU0NXnvtNaxYscJ8vLS0FKtWrerEkTEyxSOPPIJ7770XM2bMgCiKWLhwIS6//PLOHhYjg/TE33FxcTGeffZZ/PGPf8RTTz2F4uJi/OQnPzEzc7MJk69nMBgMRkZgLi8Gg8FgZARmUBgMBoOREZhBYTAYDEZGYAaFwWAwGBmBGRQGg8FgZARmUBgMBoOREZhBYTAYDEZGYAaFkXOcffbZGD58OJYvX57w+WuvvRbDhw/HO++806bjHzlyBMOHD8fWrVtTfk9r5zPGHP3f2LFjMXv2bLz00kttGmdbxtGWa2vvORkMA1Ypz8hJRFHEhx9+iIULF8Y83tDQkNHJMpNcd911MdXIDQ0NePXVV/HHP/4RvXv3xgUXXNDuc2zYsAEul6vdx2EwsgHboTBykkmTJmHbtm0x4o0A8NFHH2Hs2LGdNKqWcTgc6NWrl/nf0KFD8Yc//AEDBgzABx98kJFz9OrVq9u12j5w4ACGDx+OL7/8MubxxYsXd4hcCCNzMIPCyEnGjx+PkpISfPzxxzGP/+tf/4pb6dfX1+Ouu+7CtGnTMHbsWFx99dXYvXu3+fzBgwdx/fXXY/z48TjnnHOwfv36uPN5PB7ccccdKCsrw+mnn47rrrsO3377bUauRRRFCIKQ8nnefPNNzJ49G6NHj8aMGTNi+oE3dz+1dm2J3FXRj1VUVOC6667DhAkTMHr0aJx//vl4++23k15LS2NrK3v37gUhJE7pee/evRg2bFi7js3oWJhBYeQkhBDMnDkTH374oflYXV0dtm3bhvPPP998TFVVXHPNNdi5cycefvhhrFixAoWFhbjqqqtw4MAByLKMX/7ylwgGg/jnP/+JJUuW4Jlnnok5F6UU119/PY4dO4bnnnsOy5cvR2lpKRYuXIj6+vo2X0MwGMRzzz2HyspKXHTRRSmdp6KiAnfddRduueUWrFmzBv/v//0/PP/883j33Xfjjp/KtbVEIBDANddcg969e2PFihV45513MHHiRNx5552oqamJe306Y0uHiooK9O/fP6YXjaZp2L9/PzMoXQwWQ2HkLLNmzcLPf/5zeDweuN1urFmzBqeeempM294NGzZg9+7dWL16NU466SQAwNKlSzFz5kwsW7YMkyZNwnfffYfnn38epaWlAIA777wT119/vXmMzZs3Y+fOnfj888/NSe1///d/sWXLFqxYsQKLFi1KabxPPPEEnn32WQC6kZIkCcOHD8df//pXnHPOOdi0aVOr5/nhhx9ACEFpaan534svvpiwkd2mTZtavbaWCAaD+PnPf46f/vSnZvfKRYsW4fXXX0dVVVXM5wwgrbGlQ6KdSFVVFYLBIIYPH96uYzM6FmZQGDnLaaedhsLCQnzyySeYO3duQnfXvn37UFhYaBoTALBYLBgzZgy++eYbFBcXo7Cw0JxwAcTFYHbv3g1VVeN6bkuShMrKypTHe+WVV2LhwoVQVRWffPIJnnjiCcydOxcXXnhhyucx3HaXXXYZBg4ciKlTp+KCCy6IGb/BN9980+q1tURxcTEWLlyIt99+G3v27EFVVRUqKioA6Du/5qQzNgB46qmn8PTTT5v/XrRoEW644Ya411VUVMR9r8ncYIzchhkURs5CCMH555+PDz/8ENOnT8eOHTvwt7/9LeY1yQLUmqZBEAQQQtC8Q4MoinH/LigoiOmXYeBwOFIer9vtxsCBAwEAJ598MjiOw5IlS1BUVIQf//jHKZ3HZrPhlVdewc6dO7Fu3TqsX78ey5cvx3//93/juuuui3lPKtfWHEVRzL+PHTuG+fPno0+fPpgxYwamT5+O3r17x3X7M0hnbACwYMECzJ49O+bzaU4wGER1dXXcDmXbtm048cQT0/r8GZ0Pi6EwcppZs2Zh06ZNePvtt3H66aejqKgo5nmjlW90YDscDmPnzp0YMmQIRo4cifr6elRVVZnP79q1K+4YDQ0NAICBAwdi4MCBOOGEE/Dwww9j27ZtbR77Nddcg9NOOw3/+7//i+PHj6d0no0bN+Lxxx/Hj370I9x888149dVXsWDBArz11ltxx0/l2kRRhM/nM//9/fffm39/9NFH8Pv9WLZsGRYtWoSzzz7bjOUkapOUztgAoKCgwLzOgQMHoqCgIO419fX1oJSiV69e5mN1dXX417/+xeInXRBmUBg5zamnngq3243HHnssYR3HpEmTMH78ePzud7/Df/7zH+zbtw933HEHvF4v5s+fj7KyMpxyyim47bbbsHPnTuzYsQP3339/zDEmT56McePG4be//S22b9+O7777DnfeeSfWrl3brkmNEIL77rsPoVAI999/f0rnEUURjz/+OF5++WX88MMP+OKLL7B169aErqxUrm3cuHFYsWIFKioq8PXXX+Puu++GxWIBABQWFsLn8+HDDz/EwYMH8cknn+Duu+8GoBvl5qQztlTp1asXHA4H3nvvPdTX1+Orr77Cr371KwQCAWZQuiDMoDByGo7jcP755yMcDuPcc8+Ne54QgsceewwnnXQSFi1ahPnz56O+vh7Lly/HiSeeCJ7n8eyzz6Jfv3742c9+ht/85jf4+c9/HneMxx9/HEOGDMFNN92ESy+9FFVVVXjuuefa7cMfPHgwFi1ahNWrV+PTTz9t9Tynn346HnjgAaxYsQIXXnghbr75ZkycOBGLFy+OO3Yq13bPPfcgPz8fl19+Of7rv/4LV1xxhRlEnz17Nq6++mrcf//9uPDCC/H3v/8dN910EwYOHIidO3fGnS+dsaWKKIpYsmQJ/v3vf2PGjBn429/+hltuuQWqqmLo0KFtPi6jc2AtgBkMBoOREdgOhcFgMBgZgRkUBoPBYGQEZlAYDAaDkRGYQWEwGAxGRmAGhcFgMBgZgRkUBoPBYGQEZlAYDAaDkRGYQWEwGAxGRmAGhcFgMBgZ4f8DxG2ucRG2DPcAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from pysal.lib import weights\n", "w_knn = KNN.from_dataframe(db, k=15)\n", "\n", "lag_residual = weights.spatial_lag.lag_spatial(w_knn, m1.u)\n", "ax = sns.regplot(\n", " x=m1.u.flatten(),\n", " y=lag_residual.flatten(),\n", " line_kws=dict(color=\"orangered\"),\n", " ci=None,\n", ")\n", "ax.set_xlabel(\"Model Residuals - $u$\")\n", "ax.set_ylabel(\"Spatial Lag of Model Residuals - $W u$\");" ] }, { "cell_type": "code", "execution_count": 15, "id": "bec46ed4", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.14904244159430066 0.001\n" ] } ], "source": [ "moran = Moran(res.resid, w_knn)\n", "print(moran.I, moran.p_sim)" ] }, { "cell_type": "markdown", "id": "0f2038ec", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "# Interpreting Moran Scatterplot\n", "\n", "> When the model tends to over-predict a given AirBnB’s nightly log price, sites around that AirBnB are more likely to also be over-predicted." ] }, { "cell_type": "code", "execution_count": 16, "id": "050822de", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import contextily\n", "# Re-weight W to 20 nearest neighbors\n", "# knn.reweight(k=20, inplace=True)\n", "# Row standardise weights\n", "w_knn.transform = \"R\"\n", "# Run LISA on residuals\n", "outliers = esda.moran.Moran_Local(m1.u, w_knn, permutations=9999)\n", "# Select only LISA cluster cores\n", "error_clusters = outliers.q % 2 == 1\n", "# Filter out non-significant clusters\n", "error_clusters &= outliers.p_sim <= 0.001\n", "# Add `error_clusters` and `local_I` columns\n", "ax = (\n", " db.assign(\n", " error_clusters=error_clusters,\n", " local_I=outliers.Is\n", " # Retain error clusters only\n", " )\n", " .query(\n", " \"error_clusters\"\n", " # Sort by I value to largest plot on top\n", " )\n", " .sort_values(\n", " \"local_I\"\n", " # Plot I values\n", " )\n", " .plot(\"local_I\", cmap=\"bwr\", marker=\".\")\n", ")\n", "# Add basemap\n", "contextily.add_basemap(ax, crs=db.crs)\n", "# Remove axes\n", "ax.set_axis_off();" ] }, { "cell_type": "markdown", "id": "01dce864", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "# Interpreting LISA maps \n", "\n", "> Coldspots - underpredictions, hotspots - overpredictions. We observe spatial patterns to model residuals (predictive performance). \n", "\n", "#### We need to bring geography into regression framework " ] }, { "cell_type": "markdown", "id": "4810d5ff", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Spatial Regression \n", "\n", "* Explicitly introduces space or geographical context into the statistical framework of a regression\n", "* Space can act as a reasonable proxy for other factors we cannot but should include in our model.\n", "* **Construct spatial featrues to bring geography!**\n", " * proximity to Balboa Park (tourist attraction) " ] }, { "cell_type": "code", "execution_count": 17, "id": "d680fcd4", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = db.plot(\"d2balboa\", marker=\".\", s=5, legend=True)\n", "contextily.add_basemap(ax, crs=db.crs)\n", "ax.set_axis_off();" ] }, { "cell_type": "code", "execution_count": 18, "id": "496e82e2", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/html": [ "
\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
R2Adj. R2
M10.6683450.667801
M20.6685020.667904
\n", "
" ], "text/plain": [ " R2 Adj. R2\n", "M1 0.668345 0.667801\n", "M2 0.668502 0.667904" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "balboa_names = variable_names + [\"d2balboa\"]\n", "m2 = spreg.OLS(db[[\"log_price\"]].values,db[balboa_names].values,name_y=\"log_price\",name_x=balboa_names,)\n", "pd.DataFrame(\n", " [[m1.r2, m1.ar2], [m2.r2, m2.ar2]],\n", " index=[\"M1\", \"M2\"],\n", " columns=[\"R2\", \"Adj. R2\"],\n", ") # the model fit does not change " ] }, { "cell_type": "code", "execution_count": 19, "id": "c16ed087", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/html": [ "
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Coeff.Std. ErrorP-Value
CONSTANT4.3796240.0169150.000000e+00
accommodates0.0836440.0050791.156896e-59
bathrooms0.1907910.0110059.120139e-66
bedrooms0.1507460.0111797.418035e-41
beds-0.0414760.0069392.394322e-09
rt_Private_room-0.5529960.0159602.680270e-240
rt_Shared_room-1.2355210.0384622.586867e-209
pg_Condominium0.1404590.0222252.803765e-10
pg_House-0.0133020.0146233.630396e-01
pg_Other0.1411760.0227986.309880e-10
pg_Townhouse-0.0457840.0343561.826992e-01
d2balboa0.0016450.0009678.902052e-02
\n", "
" ], "text/plain": [ " Coeff. Std. Error P-Value\n", "CONSTANT 4.379624 0.016915 0.000000e+00\n", "accommodates 0.083644 0.005079 1.156896e-59\n", "bathrooms 0.190791 0.011005 9.120139e-66\n", "bedrooms 0.150746 0.011179 7.418035e-41\n", "beds -0.041476 0.006939 2.394322e-09\n", "rt_Private_room -0.552996 0.015960 2.680270e-240\n", "rt_Shared_room -1.235521 0.038462 2.586867e-209\n", "pg_Condominium 0.140459 0.022225 2.803765e-10\n", "pg_House -0.013302 0.014623 3.630396e-01\n", "pg_Other 0.141176 0.022798 6.309880e-10\n", "pg_Townhouse -0.045784 0.034356 1.826992e-01\n", "d2balboa 0.001645 0.000967 8.902052e-02" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Set up table of regression coefficients\n", "pd.DataFrame(\n", " {\n", " # Pull out regression coefficients and\n", " # flatten as they are returned as Nx1 array\n", " \"Coeff.\": m2.betas.flatten(),\n", " # Pull out and flatten standard errors\n", " \"Std. Error\": m2.std_err.flatten(),\n", " # Pull out P-values from t-stat object\n", " \"P-Value\": [i[1] for i in m2.t_stat],\n", " },\n", " index=m2.name_x,\n", ")" ] }, { "cell_type": "code", "execution_count": 20, "id": "f56cee5d", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lag_residual = weights.spatial_lag.lag_spatial(w_knn, m2.u)\n", "ax = sns.regplot(\n", " x=m2.u.flatten(),\n", " y=lag_residual.flatten(),\n", " line_kws=dict(color=\"orangered\"),\n", " ci=None,\n", ")\n", "ax.set_xlabel(\"Residuals ($u$)\")\n", "ax.set_ylabel(\"Spatial lag of residuals ($Wu$)\");" ] }, { "cell_type": "markdown", "id": "7881eba7", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "# Observations About Model 2 \n", "\n", "* We still observe clustering in residuals (something we are not capturing well) - GEO \n", "* Positive coefficient for Balboa is not intuitive (we are paying more to stay farther from Balboa)" ] }, { "cell_type": "markdown", "id": "124dc7c9", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Spatial Heterogeneity \n", "\n", "* We have assumed that the influence of distance is uniform across the study area, BUT some neighborhoods are systematically more expensive than others. \n", "* **parts of the model vary systematically with geography** " ] }, { "cell_type": "markdown", "id": "6aa65a7b", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "# Spatial Fixed Effects \n", "\n", "* Captures the fixed effect through a proxy that influences price (neighborhood) \n", "* Create a separate binary variable for each of the $r$ neighborhoods\n", "\n", "$$\n", "\\log{P_i} = \\alpha_r + \\sum_k \\mathbf{X}_{ik}\\beta_k + \\epsilon_i\n", "$$\n", "\n", "where $\\alpha_r$ varies across neighborhoods" ] }, { "cell_type": "code", "execution_count": 21, "id": "2251d478", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "log_price ~ accommodates + bathrooms + bedrooms + beds + rt_Private_room + rt_Shared_room + pg_Condominium + pg_House + pg_Other + pg_Townhouse + neighborhood - 1\n" ] } ], "source": [ "f = (\n", " \"log_price ~ \"\n", " + \" + \".join(variable_names)\n", " + \" + neighborhood - 1\"\n", ")\n", "print(f)" ] }, { "cell_type": "code", "execution_count": 22, "id": "ab1f3258", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [], "source": [ "m3 = smf.ols(f, data=db).fit()" ] }, { "cell_type": "code", "execution_count": 23, "id": "1d480a9a", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/html": [ "
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Coef.Std. ErrorP-Value
neighborhood[Balboa Park]4.2807660.0332920.0
neighborhood[Bay Ho]4.1982510.0768780.0
neighborhood[Bay Park]4.3292230.0509870.0
neighborhood[Carmel Valley]4.3892610.0565530.0
neighborhood[City Heights West]4.0535180.0583780.0
neighborhood[Clairemont Mesa]4.0952590.0476990.0
neighborhood[College Area]4.0336970.0582580.0
neighborhood[Core]4.7261860.0526430.0
neighborhood[Cortez Hill]4.6080900.0515260.0
neighborhood[Del Mar Heights]4.4969100.0543370.0
\n", "
" ], "text/plain": [ " Coef. Std. Error P-Value\n", "neighborhood[Balboa Park] 4.280766 0.033292 0.0\n", "neighborhood[Bay Ho] 4.198251 0.076878 0.0\n", "neighborhood[Bay Park] 4.329223 0.050987 0.0\n", "neighborhood[Carmel Valley] 4.389261 0.056553 0.0\n", "neighborhood[City Heights West] 4.053518 0.058378 0.0\n", "neighborhood[Clairemont Mesa] 4.095259 0.047699 0.0\n", "neighborhood[College Area] 4.033697 0.058258 0.0\n", "neighborhood[Core] 4.726186 0.052643 0.0\n", "neighborhood[Cortez Hill] 4.608090 0.051526 0.0\n", "neighborhood[Del Mar Heights] 4.496910 0.054337 0.0" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Store variable names for all the spatial fixed effects\n", "sfe_names = [i for i in m3.params.index if \"neighborhood[\" in i]\n", "# Create table\n", "pd.DataFrame(\n", " {\n", " \"Coef.\": m3.params[sfe_names],\n", " \"Std. Error\": m3.bse[sfe_names],\n", " \"P-Value\": m3.pvalues[sfe_names],\n", " }\n", ").head(10)" ] }, { "cell_type": "code", "execution_count": 24, "id": "9a73423f", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [], "source": [ "# spreg spatial fixed effect implementation\n", "m4 = spreg.OLS_Regimes(\n", " # Dependent variable\n", " db[[\"log_price\"]].values,\n", " # Independent variables\n", " db[variable_names].values,\n", " # Variable specifying neighborhood membership\n", " db[\"neighborhood\"].tolist(),\n", " # Allow the constant term to vary by group/regime\n", " constant_regi=\"many\",\n", " # Variables to be allowed to vary (True) or kept\n", " # constant (False). Here we set all to False\n", " cols2regi=[False] * len(variable_names),\n", " # Allow separate sigma coefficients to be estimated\n", " # by regime (False so a single sigma)\n", " regime_err_sep=False,\n", " # Dependent variable name\n", " name_y=\"log_price\",\n", " # Independent variables names\n", " name_x=variable_names,\n", ")" ] }, { "cell_type": "code", "execution_count": 25, "id": "75e0049c", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/plain": [ "array([-0.e+00, 4.e-12, 0.e+00, 0.e+00, 0.e+00, 0.e+00, 0.e+00,\n", " 0.e+00, 0.e+00, -2.e-12, 0.e+00, -0.e+00, 0.e+00, 0.e+00,\n", " 0.e+00, 0.e+00, 0.e+00, 0.e+00, 0.e+00, 0.e+00, 0.e+00,\n", " -0.e+00, 0.e+00, 0.e+00, -0.e+00, 0.e+00, 0.e+00, 0.e+00,\n", " 0.e+00, 0.e+00, 0.e+00, 0.e+00, 0.e+00, 0.e+00, 0.e+00,\n", " 0.e+00, 0.e+00, 0.e+00, 0.e+00, 0.e+00, 0.e+00, 0.e+00,\n", " 0.e+00, 0.e+00, 0.e+00, 0.e+00, -0.e+00, -0.e+00, 0.e+00,\n", " -0.e+00, -0.e+00, 0.e+00, 0.e+00, 0.e+00, 0.e+00])" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.round(m4.betas.flatten() - m3.params.values, decimals=12)" ] }, { "cell_type": "code", "execution_count": 26, "id": "87ee94c3", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/html": [ "
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fixed_effect
Balboa Park4.280766
Bay Ho4.198251
Bay Park4.329223
Carmel Valley4.389261
City Heights West4.053518
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" ], "text/plain": [ " fixed_effect\n", "Balboa Park 4.280766\n", "Bay Ho 4.198251\n", "Bay Park 4.329223\n", "Carmel Valley 4.389261\n", "City Heights West 4.053518" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ "neighborhood_effects = m3.params.filter(like=\"neighborhood\")\n", "\n", "# Create a sequence with the variable names without\n", "# `neighborhood[` and `]`\n", "stripped = neighborhood_effects.index.str.strip(\n", " \"neighborhood[\"\n", ").str.strip(\"]\")\n", "# Reindex the neighborhood_effects Series on clean names\n", "neighborhood_effects.index = stripped\n", "# Convert Series to DataFrame\n", "neighborhood_effects = neighborhood_effects.to_frame(\"fixed_effect\")\n", "# Print top of table\n", "neighborhood_effects.head()" ] }, { "cell_type": "code", "execution_count": 27, "id": "5179aede", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/plain": [ "('sd_geo.geojson', )" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import urllib.request\n", "urllib.request.urlretrieve(\"http://data.insideairbnb.com/united-states/ca/san-diego/2022-09-18/visualisations/neighbourhoods.geojson \", \"sd_geo.geojson\")" ] }, { "cell_type": "code", "execution_count": 28, "id": "f5145726", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "neighborhoods = gpd.read_file('sd_geo.geojson')\n", "\n", "# Plot base layer with all neighborhoods in grey\n", "ax = neighborhoods.plot(\n", " color=\"k\", linewidth=0, alpha=0.5, figsize=(12, 6), legend=True\n", ")\n", "# Merge SFE estimates (note not every polygon\n", "# receives an estimate since not every polygon\n", "# contains AirBnb properties)\n", "neighborhoods.merge(\n", " neighborhood_effects,\n", " how=\"left\",\n", " left_on=\"neighbourhood\",\n", " right_index=True\n", " # Drop polygons without a SFE estimate\n", ").dropna(\n", " subset=[\"fixed_effect\"]\n", " # Plot quantile choropleth\n", ").plot(\n", " \"fixed_effect\", # Variable to display\n", " scheme=\"quantiles\", # Choropleth scheme\n", " k=7, # No. of classes in the choropleth\n", " linewidth=0.1, # Polygon border width\n", " cmap=\"viridis\", # Color scheme\n", " ax=ax, # Axis to draw on\n", " legend=True, \n", " legend_kwds={'loc': 'center left', 'bbox_to_anchor':(1,0.5)}\n", ")\n", "# Add basemap\n", "contextily.add_basemap(\n", " ax,\n", " crs=neighborhoods.crs,\n", " source=contextily.providers.CartoDB.PositronNoLabels,\n", ")\n", "# Remove axis\n", "ax.set_axis_off()\n", "# Display\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "14f0e846", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "# Interpeting Spatial Fixed Effects \n", "\n", "> We can see a clear spatial structure in the SFE estimates. The most expensive neighborhoods tend to be located nearby the coast, while the cheapest ones are more inland." ] }, { "cell_type": "code", "execution_count": 29, "id": "3d2fd367", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lag_residual = weights.spatial_lag.lag_spatial(w_knn, m4.u)\n", "ax = sns.regplot(\n", " x=m4.u.flatten(),\n", " y=lag_residual.flatten(),\n", " line_kws=dict(color=\"orangered\"),\n", " ci=None,\n", ")\n", "ax.set_xlabel(\"Residuals ($u$)\")\n", "ax.set_ylabel(\"Spatial lag of residuals ($Wu$)\");" ] }, { "cell_type": "code", "execution_count": 30, "id": "a50efa3c", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.04374941138999537 0.001\n" ] } ], "source": [ "moran = Moran(m4.u, w_knn)\n", "print(moran.I, moran.p_sim) # smaller Moran's I (compared to .14) " ] }, { "cell_type": "markdown", "id": "abc523b3", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Spatial Regimes \n", "\n", "> Allow not only intercepts, but beta coefficients to vary \n", "\n", "$$\n", "\\log{P_i} = \\alpha_r + \\sum_k \\mathbf{X}_{ki}\\beta_{k-r} + \\epsilon_i\n", "$$" ] }, { "cell_type": "code", "execution_count": 31, "id": "15b992a5", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [], "source": [ "# Pysal spatial regimes implementation\n", "m5 = spreg.OLS_Regimes(\n", " # Dependent variable\n", " db[[\"log_price\"]].values,\n", " # Independent variables\n", " db[variable_names].values,\n", " # Variable specifying neighborhood membership\n", " db[\"coastal\"].tolist(),\n", " # Allow the constant term to vary by group/regime\n", " constant_regi=\"many\",\n", " # Allow separate sigma coefficients to be estimated\n", " # by regime (False so a single sigma)\n", " regime_err_sep=False,\n", " # Dependent variable name\n", " name_y=\"log_price\",\n", " # Independent variables names\n", " name_x=variable_names,\n", ")" ] }, { "cell_type": "code", "execution_count": 32, "id": "6d531090", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/html": [ "
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CoastalNon-coastal
Coeff.Std. ErrorP-ValueCoeff.Std. ErrorP-Value
CONSTANT4.4799040.0250940.000000e+004.4072420.0215160.000000e+00
accommodates0.0484640.0078818.253761e-100.0901860.0064741.893020e-43
bathrooms0.2474780.0165661.381278e-490.1433760.0142681.418804e-23
bedrooms0.1897400.0179235.783965e-260.1129630.0138273.731742e-16
beds-0.0506080.0107432.522348e-06-0.0262720.0088382.964354e-03
rt_Private_room-0.5586280.0283124.723759e-84-0.5293340.0189183.546091e-162
rt_Shared_room-1.0528540.0841741.836512e-35-1.2244590.0425971.657163e-170
pg_Condominium0.2044470.0339431.810152e-090.1053070.0281311.831822e-04
pg_House0.0753530.0233781.274269e-03-0.0454470.0179571.140318e-02
pg_Other0.2954850.0386452.394157e-140.0607530.0276372.796727e-02
pg_Townhouse-0.0735080.0493671.365396e-01-0.0103970.0456738.199294e-01
\n", "
" ], "text/plain": [ " Coastal Non-coastal \\\n", " Coeff. Std. Error P-Value Coeff. Std. Error \n", "CONSTANT 4.479904 0.025094 0.000000e+00 4.407242 0.021516 \n", "accommodates 0.048464 0.007881 8.253761e-10 0.090186 0.006474 \n", "bathrooms 0.247478 0.016566 1.381278e-49 0.143376 0.014268 \n", "bedrooms 0.189740 0.017923 5.783965e-26 0.112963 0.013827 \n", "beds -0.050608 0.010743 2.522348e-06 -0.026272 0.008838 \n", "rt_Private_room -0.558628 0.028312 4.723759e-84 -0.529334 0.018918 \n", "rt_Shared_room -1.052854 0.084174 1.836512e-35 -1.224459 0.042597 \n", "pg_Condominium 0.204447 0.033943 1.810152e-09 0.105307 0.028131 \n", "pg_House 0.075353 0.023378 1.274269e-03 -0.045447 0.017957 \n", "pg_Other 0.295485 0.038645 2.394157e-14 0.060753 0.027637 \n", "pg_Townhouse -0.073508 0.049367 1.365396e-01 -0.010397 0.045673 \n", "\n", " \n", " P-Value \n", "CONSTANT 0.000000e+00 \n", "accommodates 1.893020e-43 \n", "bathrooms 1.418804e-23 \n", "bedrooms 3.731742e-16 \n", "beds 2.964354e-03 \n", "rt_Private_room 3.546091e-162 \n", "rt_Shared_room 1.657163e-170 \n", "pg_Condominium 1.831822e-04 \n", "pg_House 1.140318e-02 \n", "pg_Other 2.796727e-02 \n", "pg_Townhouse 8.199294e-01 " ] }, "execution_count": 32, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Results table\n", "res = pd.DataFrame({\n", " \"Coeff.\": m5.betas.flatten(),\n", " \"Std. Error\": m5.std_err.flatten(),\n", " \"P-Value\": [i[1] for i in m5.t_stat],},\n", " index=m5.name_x,\n", ")\n", "\n", "coastal = [i for i in res.index if \"1_\" in i]\n", "coastal = res.loc[coastal, :].rename(lambda i: i.replace(\"1_\", \"\"))\n", "\n", "coastal.columns = pd.MultiIndex.from_product([[\"Coastal\"], coastal.columns])\n", "\n", "ncoastal = [i for i in res.index if \"0_\" in i]\n", "\n", "ncoastal = res.loc[ncoastal, :].rename(lambda i: i.replace(\"0_\", \"\"))\n", "\n", "ncoastal.columns = pd.MultiIndex.from_product([[\"Non-coastal\"], ncoastal.columns])\n", "\n", "# Concat both models\n", "pd.concat([coastal, ncoastal], axis=1)" ] }, { "cell_type": "code", "execution_count": 33, "id": "21403b16", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/plain": [ "(328.86902143031756, 7.113548767239792e-64)" ] }, "execution_count": 33, "metadata": {}, "output_type": "execute_result" } ], "source": [ "m5.chow.joint" ] }, { "cell_type": "code", "execution_count": 34, "id": "70d755eb", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/html": [ "
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StatisticP-value
CONSTANT4.8321802.793329e-02
accommodates16.7356854.296522e-05
bathrooms22.6714711.922004e-06
bedrooms11.5037866.945459e-04
beds3.0603138.022620e-02
rt_Private_room0.7400973.896298e-01
rt_Shared_room3.3088386.890820e-02
pg_Condominium5.0572832.452265e-02
pg_House16.7925034.169771e-05
pg_Other24.4098767.786847e-07
pg_Townhouse0.8805643.480471e-01
\n", "
" ], "text/plain": [ " Statistic P-value\n", "CONSTANT 4.832180 2.793329e-02\n", "accommodates 16.735685 4.296522e-05\n", "bathrooms 22.671471 1.922004e-06\n", "bedrooms 11.503786 6.945459e-04\n", "beds 3.060313 8.022620e-02\n", "rt_Private_room 0.740097 3.896298e-01\n", "rt_Shared_room 3.308838 6.890820e-02\n", "pg_Condominium 5.057283 2.452265e-02\n", "pg_House 16.792503 4.169771e-05\n", "pg_Other 24.409876 7.786847e-07\n", "pg_Townhouse 0.880564 3.480471e-01" ] }, "execution_count": 34, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pd.DataFrame(\n", " # Chow results by variable\n", " m5.chow.regi,\n", " # Name of variables\n", " index=m5.name_x_r,\n", " # Column names\n", " columns=[\"Statistic\", \"P-value\"],\n", ")" ] }, { "cell_type": "code", "execution_count": 35, "id": "c18a3061", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lag_residual = weights.spatial_lag.lag_spatial(w_knn, m5.u)\n", "ax = sns.regplot(\n", " x=m5.u.flatten(),\n", " y=lag_residual.flatten(),\n", " line_kws=dict(color=\"orangered\"),\n", " ci=None,\n", ")\n", "ax.set_xlabel(\"Residuals ($u$)\")\n", "ax.set_ylabel(\"Spatial lag of residuals ($Wu$)\");" ] }, { "cell_type": "code", "execution_count": 36, "id": "7dcfc6d9", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.11880651767401344 0.001\n" ] } ], "source": [ "moran = Moran(m5.u, w_knn)\n", "print(moran.I, moran.p_sim) # smaller Moran's I (compared to m2 - .14, but larger than m4 - .4) " ] }, { "cell_type": "markdown", "id": "a909db36", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Spatial Dependence \n", "\n", "* We shift our interest from explicitly linked geography, to **spatial configuration**. Think about neighborhood as generalization of surroundings. The look and feel of the neighborhood might depend on how some of them vary in terms of nearby configurations (townhouse next to other townhouses). \n", "* **Spatial dependence** through distance\n", " * SLX model \n", " * Spatial Error\n", " * Spatial Lag " ] }, { "cell_type": "markdown", "id": "b1e4bda8", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "# SLX Model (Exogenous effects) \n", "\n", "$$\n", "\\log(P_i) = \\alpha + \\sum^{p}_{k=1}X_{ij}\\beta_j + \\sum^{p}_{k=1}\\left(\\sum^{N}_{j=1}w_{ij}x_{jk}\\right)\\gamma_k + \\epsilon_i\n", "$$\n", "\n", "$$\n", "\\log(P_i) = \\alpha + \\mathbf{X}\\beta + \\mathbf{WX}\\gamma + \\epsilon\n", "$$\n", "\n", "* We separate spatial effects into direct ($\\beta$) and indirect ($\\gamma$). " ] }, { "cell_type": "markdown", "id": "d77993e8", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "# SLX Model (Example) \n", "\n", "* Add spatial lag of type of houses in the neighborhood (surrounding) \n", "* Association between the price in a given house and a unit change in its average surroundings \n", "* Spillover effect" ] }, { "cell_type": "code", "execution_count": 37, "id": "b93fb781", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [], "source": [ "# Select only columns in `db` containing the keyword `pg_`\n", "wx = (\n", " db.filter(\n", " like=\"pg_\"\n", " # Compute the spatial lag of each of those variables\n", " )\n", " .apply(\n", " lambda y: weights.spatial_lag.lag_spatial(w_knn, y)\n", " # Rename the spatial lag, adding w_ to the original name\n", " )\n", " .rename(\n", " columns=lambda c: \"w_\"\n", " + c\n", " # Remove the lag of the binary variable for apartments\n", " )\n", " .drop(\"w_pg_Apartment\", axis=1)\n", ")" ] }, { "cell_type": "code", "execution_count": 38, "id": "eaf8d205", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [], "source": [ "# Merge original variables with the spatial lags in `wx`\n", "slx_exog = db[variable_names].join(wx)\n", "# Fit linear model with `spreg`\n", "m6 = spreg.OLS(\n", " # Dependent variable\n", " db[[\"log_price\"]].values,\n", " # Independent variables\n", " slx_exog.values,\n", " # Dependent variable name\n", " name_y=\"l_price\",\n", " # Independent variables names\n", " name_x=slx_exog.columns.tolist(),\n", ")" ] }, { "cell_type": "code", "execution_count": 39, "id": "eda0c7e7", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/html": [ "
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Coeff.Std. ErrorP-Value
pg_Condominium0.10840.02220.0000
pg_House0.03140.01580.0462
pg_Other0.09090.02410.0002
pg_Townhouse-0.03200.03390.3458
w_pg_Condominium0.49370.06160.0000
w_pg_House-0.08220.03010.0063
w_pg_Other0.41150.05060.0000
w_pg_Townhouse-0.16540.10810.1260
\n", "
" ], "text/plain": [ " Coeff. Std. Error P-Value\n", "pg_Condominium 0.1084 0.0222 0.0000\n", "pg_House 0.0314 0.0158 0.0462\n", "pg_Other 0.0909 0.0241 0.0002\n", "pg_Townhouse -0.0320 0.0339 0.3458\n", "w_pg_Condominium 0.4937 0.0616 0.0000\n", "w_pg_House -0.0822 0.0301 0.0063\n", "w_pg_Other 0.4115 0.0506 0.0000\n", "w_pg_Townhouse -0.1654 0.1081 0.1260" ] }, "execution_count": 39, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Collect names of variables of interest\n", "vars_of_interest = (\n", " db[variable_names].filter(like=\"pg_\").join(wx).columns\n", ")\n", "# Build full table of regression coefficients\n", "pd.DataFrame(\n", " {\n", " # Pull out regression coefficients and\n", " # flatten as they are returned as Nx1 array\n", " \"Coeff.\": m6.betas.flatten(),\n", " # Pull out and flatten standard errors\n", " \"Std. Error\": m6.std_err.flatten(),\n", " # Pull out P-values from t-stat object\n", " \"P-Value\": [i[1] for i in m6.t_stat],\n", " },\n", " index=m6.name_x\n", " # Subset for variables of itnerest only and round to\n", " # four decimals\n", ").reindex(vars_of_interest).round(4)" ] }, { "cell_type": "markdown", "id": "6855952e", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "# Interpreting SLX model \n", "\n", "* The direct effect of the pg_Condominium variable means that condominiums are typically 11% more expensive than benchmark property type (apartments) \n", "* Since *pg_Condominium* is a dummy variable, the spatial lag at site $i$ represents the percentage of properties near $i$ that are condominiums. So a unit change in this variable means that you would increase the condominium percentage by 100%. Thus a .1 increase in *w_pg_Condominium* (a change of ten percentage points) would result in 4.93% increase in the property house price. " ] }, { "cell_type": "code", "execution_count": 40, "id": "dc4fdb49", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.12766359936512758 0.001\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "moran = Moran(m6.u, w_knn)\n", "print(moran.I, moran.p_sim) # smaller Moran's I (compared to m2 - .14, but larger than m4 - .4) \n", "lag_residual = weights.spatial_lag.lag_spatial(w_knn, m6.u)\n", "ax = sns.regplot(\n", " x=m6.u.flatten(),\n", " y=lag_residual.flatten(),\n", " line_kws=dict(color=\"orangered\"),\n", " ci=None,\n", ")\n", "ax.set_xlabel(\"Residuals ($u$)\")\n", "ax.set_ylabel(\"Spatial lag of residuals ($Wu$)\");" ] }, { "cell_type": "markdown", "id": "b3e7ad46", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Spatial Error \n", "\n", "> Include spatial lag in the error term of the equation. This violates OLS assumption (normal errors). \n", "\n", "$$\n", "\\log{P_i} = \\alpha + \\sum_k \\beta_k X_{ki} + u_i \\\\\n", "u_i = \\lambda u_{lag-i} + \\epsilon_i\n", "$$\n", "\n", "where $u_{lag-i} = \\sum_j w_{i,j} u_j$. " ] }, { "cell_type": "code", "execution_count": 41, "id": "4d57e885", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [], "source": [ "# Fit spatial error model with `spreg`\n", "# (GMM estimation allowing for heteroskedasticity)\n", "m7 = spreg.GM_Error_Het(\n", " # Dependent variable\n", " db[[\"log_price\"]].values,\n", " # Independent variables\n", " db[variable_names].values,\n", " # Spatial weights matrix\n", " w=w_knn,\n", " # Dependent variable name\n", " name_y=\"log_price\",\n", " # Independent variables names\n", " name_x=variable_names,\n", ")" ] }, { "cell_type": "code", "execution_count": 42, "id": "e8be212c", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "REGRESSION\n", "----------\n", "SUMMARY OF OUTPUT: SPATIALLY WEIGHTED LEAST SQUARES (HET)\n", "---------------------------------------------------------\n", "Data set : unknown\n", "Weights matrix : unknown\n", "Dependent Variable : log_price Number of Observations: 6110\n", "Mean dependent var : 4.9958 Number of Variables : 11\n", "S.D. dependent var : 0.8072 Degrees of Freedom : 6099\n", "Pseudo R-squared : 0.6659\n", "N. of iterations : 1 Step1c computed : No\n", "\n", "------------------------------------------------------------------------------------\n", " Variable Coefficient Std.Error z-Statistic Probability\n", "------------------------------------------------------------------------------------\n", " CONSTANT 4.4240379 0.0206722 214.0094550 0.0000000\n", " accommodates 0.0703114 0.0062888 11.1804555 0.0000000\n", " bathrooms 0.1630068 0.0151892 10.7317816 0.0000000\n", " bedrooms 0.1717159 0.0147101 11.6733237 0.0000000\n", " beds -0.0374029 0.0089220 -4.1922292 0.0000276\n", " rt_Private_room -0.4975808 0.0163326 -30.4654936 0.0000000\n", " rt_Shared_room -1.1599727 0.0509584 -22.7631466 0.0000000\n", " pg_Condominium 0.1050079 0.0214980 4.8845395 0.0000010\n", " pg_House 0.0285718 0.0147514 1.9368866 0.0527592\n", " pg_Other 0.0872271 0.0255362 3.4158194 0.0006359\n", " pg_Townhouse -0.0123460 0.0288123 -0.4284958 0.6682902\n", " lambda 0.5925833 0.0179391 33.0331388 0.0000000\n", " lambda 0.5925833 0.0179391 33.0331388 0.0000000\n", "------------------------------------------------------------------------------------\n", "================================ END OF REPORT =====================================\n" ] } ], "source": [ "print(m7.summary)" ] }, { "cell_type": "code", "execution_count": 43, "id": "621fde1a", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.1864416105991456 0.001\n" ] }, { "data": { "image/png": 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zc/F6vfh8Puu/Pp+P4cOHc9ppp7XYKtvGpj10xiTcOM50uDrE9n01oBMXB8DBygDPv7uNU08qSDnp6rpRGSFxUh49uIT+xV6O1ISbJJoW+Jytjqstu7OW7rG16zQ2DB6XjCgK1lhrAtlxkTX3mV5zDLc1t8mMVg3Q9OnT+eCDD/B6vVx11VXMmjWLwsLCzhibjY1FNifh5mgsxQ5FFPS4KkwURQRdR9MFwhGFNVuPpLyGpmOJBBIn5aumDEnZsyddA5qNFhXpJn8mGgbDzdgQD9t9sI4lq3djehxlScDrkrnm/CEZj6czPlOb7k2rBujxxx+noqKCRYsWsWDBAh5//HEuuugirr32WsaOHdsJQ7SxMchWn6DmdgGN40xmNQQdIzFUUTXSad+YSsDQkZNtuiVtWkuQTbyO2yGCIOAPKRTGKyEAfLDhQNI1FVVHUdve07K79X6yaYSm4ti6Gt2bi3LyuKxfPi0RQklJCT/4wQ+49dZb+eijj1i4cCHXXXcdgwcPZvbs2Vx22WX4fL6sD87GJtu0tAto7HqSJdGofA2WIiwdCnypS9dke7LdVFbBolVllFcErOTUlhI3WxJyNH5fooqGqqjcdtVYqyHdvFc2EI6qiKKAHBcOaLphqDur95FN5yAe3YP7w5dxf/gyUtUBdMlB5V/+g+7Na/3kTF4nkycLgsCkSZN46qmn+OCDD5g2bRp/+ctfOO+883jggQfYtm1bVgdnY5NtEncB4ahKTX2Eqrowzy75ihEDC5Kk2B6XTIJAy0Js5VdjluNJlTCbLUyDcaQ6hCAYyavV/iiqqjUrTzeTPxMx4zfNydwXr9ppPbdxlXCI5z9pmp2nczwQi8CqheQ/fAVFd47G98bvkaqMHW9kwmXorux3xs1Ihh0IBKz/+f1+JkyYwLBhw3jnnXdYuHAhCxcu5Kuvvsr6IG1ssoW5CwhFFKrqwhCfToMRhSWrd1OY68LlEAiGFfoUepg0ph9LVu+21GsOWcTjlFLWUTN58o0t+NwysiSwq7yOxxdton+Jj/HDe7Ftb01WXHCmwTCrJkC8flwwRp9CT0qD0JKQ4+WlO1Lujo5UBa2/U1UJN2rGiXaezjGMtO8r3KtewP3Jq+CvxpTFqAV9iZx3HaFJ16P1Hdwhr92qATr33HMJBoOEQiH0BAe43sgZ7na7bRWcTbtIFYMIR1Vrsob2xVA2lVUQDCtU1UesAmiiaCRZChg7/PpgDFEUOOcbfdm2t4ZPNh/C7ZTxuCVyPMZP81DCpJwKo9CnUT9NEgUEQeBgVZA3V++O5wEZ3VOff2cr35sxsk1GyDSkhptQR4wXMVUUrVlVWktxqJL8vSll7r2LGla9idULNPT4W6jjdjvtPJ1jDCFUj2vNYtwrX8BR9nnDA6JEZNxFhCffSHTMNJA6tsRaq1e//PLLycvLIycnh5ycHHJzc5P+a/7brgVn0x4SYxCgc7AqBOgU5Rlxmeff2QqCgNctt6lIpXl9l1MiElMw4+aa2mCIJNFwZcUUjXc+20txgRuvW0bVdGrqjQZueT5nq/EgSRSIKsYuQdeNhm96/BRVN6rMaLpOIKzw0vvb6VXQYBAKc5x8WVZFOKrgdspMnzAgZZtsM16V53NSVRdG0wXrtVtS1zUXh2pudzRr8pCkc783YySLVu7kcHUYQdDpU+Sz8qK6M3bvIUDXkXeuw73yRdxrFiNEAtZDSp9BhCffSM7MOdRpnbeRaNVq/OIXv+iMcdj0cBJjENX1kXjsRaQ+GKNPkZequEvJrDLdUgZ+qsnGvL7XLeGQRSpqQpaUWIxXJTBVbmavnIqaEIW5LsPoqBp1gRh1gSiQIjCUgHldozxPqsd1JFFE1TUq6yI4HBJet8zew/Vs26taVakjMZUln+4GoLRfXtI9jRhYwOoth6z2EbX+KIqq07fYw1VThmQ8uTa3Oxo/sg8r1vwn6Xhbrt+V9PTeQ0JdBe5PXsW98gXk8u3Wcd3hJnL6FYSnfIfYiLNAEMgpzoVGVd87krS2Lbt376a0tDSjC+/atYtBg5qu3DKloqKCe++9l/Xr1+N2u7n22mu54447Uj535syZ7Nq1C0lqcCMsWrSIwYMHEwgEeOCBB1i1ahUAl156KXfffTcOh6PdY7RpP4kKLUXRDJeS0CCFNkrdJLt9U2Xgp9MiweOSKSnwUFkbQtVAFAUUVUNrpCZWVN1wBwajhKLGOFwOEVkSCYSVlPdhGM6WZcmaDhINxklVNQ7XR4hEVetxXdMtyffbn+0xehQl3NPqLYc4e1RfK6ZkdmptruFdOqv/VLujz7cebnXy7sjdRTaunU5/psav8+3pIyz13zGJpuLY/AGelS/i3PAugtoQs4yVjiU8+QYiZ12N7ivoujGSpgH6yU9+wje/+U2++93vMmDAgBafW1ZWxgsvvMCXX37Jm2++2e4B3nnnnQwYMIDVq1ezb98+5syZQ2lpKZdeemnS86LRKDt37mTJkiUpDd+DDz5IZWUlK1aswO/388Mf/pDnn3+eW2+9td1jtGk/iRJoWRZR47sRWTIkZ0agPXnnkSrW0dxko6oKUUVLyu7P87kIhmPElKbGx0TXsYyPYRB1orHUxof4CN1OiVBETaoP1/iaibuvqvpIkz2VmQCrY7ym6fY7XB9BUTQkUeDzbUeYe/MZSec1nkhHDCzggw0HCEYUy6Du2F/D5WeVWq69lib5xat2ttg4LhMZeKZka+fSWh3BVK/zzOJNXDP12NrpAYhH9+L+KC6frtxvHde8+UTOuprwlJtQSsd04QiTScsAvf766zz11FNcdtllDB48mEmTJjFkyBAKCwvRdZ2qqiq++uor1q5dy65du7jxxht5/fXX2z24PXv2sG7dOh599FHcbjdDhw7lpptuYsGCBU0M0NatW3G5XJx8ctMe9uFwmLfffpsFCxaQm5tLbm4ut99+Ow8++KBtgLoJiTGIXI9MdX0U0Mj1uonEVNxOiZiqcbAigKoZyi+3U7Iy8M1JdMe+GkOp5pIJR1UU1ZiszdhIYoxDlgR+OHMUAI+9vqnVMeo6qC1kohqdTMEfUixRgJ7wWOKZSoJvzmjn0PgZyfiDMXQBq/WDpuuUVwatatrme5A4kR6qCrJtb02Ta2kavPnJbkr7GTkdLU3yh6uChiAkAacsUh5vHFfrN8QWMUWjojaCQxbxueWs5AVl2lm2OVqrI5jqdVTtGMptikVwbngXz8oXcGxZiZDwHY2OPNfY7Zx+BTg9XTjI1KRlgBwOBz/+8Y/5zne+w6uvvsrKlSt55plnUBTFenzUqFFceOGFXHXVVVkr1fP1119TUFBASUnDl2DQoEFs3769yXO3bNmC1+vlxhtvZMeOHZxwwgnccccdnH/++ezevZtYLMaQIUOSrnP48GFqamooKCjIynht2k7jGES/Io+lgivwOTljZG8+2FiOqioYE7Vg+ruSJl6HLBFTVCKxhnplimoYrDGD85oE+Ns7wciSgCgIFOS6qKgJWW6zxM2PGdNREtxqLoeELAmGK0/TESWhiZHSE85XNN16LSC+OxSSJsnEiTQYjlEfal4qrmPsXnI8jhYn+T5FXo5WB5tM3oqq45XicbOE68YUjfpQDLUiQHvJVgX01uoIpnodl0Pq9rlN0v6tuFe9iPvj/0P0NzQJ7Qz5dLbISLqWn5/Prbfeyq233oqu61RXVyMIQofVhgsEAng8yVbb4/EQDqcqAqnzjW98g5///OcMGDCAZcuW8eMf/5iXXnrJMpSJ1zL/nepazVFcnKwO6dUrN+1zjyc66r6n9spl6hlNd7AAv3p6NXk+B70LGz7DcFRhxcZyAFxOCbdTRgAOVjaVSauazvrtR+lb7MXl8BKJqaz56ghjRvRl/Mg+uBwikVj61Q5MDAm0To0/0qwbTzNq+SS0vhYoynPh8zjYfbAeNR5/crtkIlElwT0nkJ/jRBQFKuOToSA0GLeifDfV/qj1eVT5o+R6ZARBwB+KISKgtrCrOlwdIqrq1jkmsiRY1501eQjPLN6Eqhnuy0hMBR0cDmOnY+7tzA2c+Wqa3v7vSb9eOVTXhXAnGL9wVKFfr5yMrj21Vy75+V4Wr9rJkaogvYu8zJo8hPEj+wCQ43VaO2uHLFKQ60LVyPh1OoVgPXy4EN57DrauaTguSjBxBlz0faTTL8ErybQ1gtWZ99xm7bQgCBQVFWVzLE3wer1NDEQoFEqZb3T99ddz/fXXW3/PmDGDJUuW8P7773PZZZcBhrHxer3WdYCMcpcqK/1Wb5RevXI52olqke5CV933waN+vG45SQItCgIHj/oBrMecCZMVYHXzVDVzJyQ2/FdQWbh0GyeVeLl44kD++cnuNo1N0yHaivFKNE6CoHOoKmg1pgOjh5BTFojGuztIkkBRXHigqpqVBKpqejzeYuQkFeY4rc/DKcK+w36jMZ6mI7VSsUFRNKprQ9TUGYbO6zYEOZGYal13/Mg+1E4dklJVWBOIWr5F07gaGgwdSaDd35Op4/obrchVPWnnMnVc/4yvfVKJlzuvGp107OjRejaVVVBVa3SpFQSIxlSOVAXI87m4alLmr9MhmPLpVS/h/uwfSfJptc/JhCbdSOS82WiF/YyDVaE2v1S2f9+iKDRZuCfSrZN3hg4dSnV1NVVVVZaxKysrS3KlmSxYsIABAwYwadIk61gkEsHlclFaWorD4WDXrl2MGjXKuk7fvn3t5NlujhnbqfVHqQtEKch1Wb1oEv34iT5+05UlCOCIz8Kq1tRAJLpzSvvlUZLvTnK75PschGMa0WhL+4jMsdRvCb56VdWpDRguM0kU0DWdozUNY5HFhPM0o4SQO6EK9aayCupCSvw+DXdeKgl4IqIIBbkuqurCVNVF0HUdWZZSFlJN5apcsGwHsmjssjTNeM9lWSTH46BPYfvjDZ1VAd3rceCKV7cwBB4ieTmZtzvPNpZ8etWLyAcaypwZ8unLCU++idiIs1uvDdWN6dYGqLS0lHHjxjFv3jzuu+8+ysvLefHFF7ntttuaPPfIkSM8//zzPPfccwwYMIA333yTjRs38sADD+D1ernwwgt59NFH+eMf/0g4HOapp57iyiuv7IK7skmXxNhOfo6D6voolbUhivLc1s7AnCgTffyiJKCqDYmgicZj3+H46k4QkEWB3gVu63VkWSTf57AMQSCk4HSICCL43A5CEcVow52AKBpB/fYgCjRy3+lNJeFa0sNEFY2oEmXRSqNW23tr9+J1y7idEnWBKNGY2mLlbgEozvfE690J1NRHqPXHGHyCJ61J3nx80cqdlFcGccgibqdRX6/WH8HnlpMEEq3RnBKvo6tlm/EfwSFZO0Bd1wlH1A57zRbRVBxbVuFe9SKuz99Olk+fNJrwlJu6hXw6Wwh645o63YwjR44wd+5c1q9fj8PhYPbs2dx2222Ul5czY8YM5s+fz/jx44nFYjz22GO89dZb1NXVMXjwYO666y4mTpwIgN/v56GHHuLDDz9EVVUuu+wyfvnLX2ZUwcF2wXXufc97ZUPSziYYjsVVVzqDT8hPmiiTyvg4JSvHR9V0Sz6dCq9LxuOSqAlEmxgXMHZQ44eX4I9q7C6vJRBSDHeZQyLP66CqLmIV6JQkIePWBLJkuOH0JBcdLRqPVBidSl3WJApw4IgfpZnAlNcl0quwoYK9rusEwwrzfnhW0vPS+bw3lVVYhkiWRPJznNYC4bo0msslLjQSXW3pnNteGn/HwHBB9ips6rLrSBrk0wuQKvdZxy359OQbUU4e2+Hj6GwXXLc3QN0J2wB17n3f9fSnxuo0IUCeaqJMtXqGBtdNMGzsZOqDsWZzc1IhigK9Cz3IokBhvofd5bWE4vk0AHJca20YOUOhputaq66vRMwJ16QtxsdEEht2NWDs9lq63Xyfg4Jcw4UZiRlqw7tmn5b0nMTPO1WOkZkIGwwruJySFZtq6ZqNac4IpHNue2nO+CW2oegwTPn0qhdxbP6gkXz6HMKTbyQy4XLogCrUzdHtY0C6rrNkyRImTpxI3759ee6553jjjTcYM2YM99xzjxXktzl26S51s9wOkUOVQVRNRxQFq66a2yFZ7p3mkhWvmzbMCpbvqKtB1aSMjA8Auo6qahypChOKKgRCsaQJ3dxdyKLxb60NkaLG7RHatxw0XGlup0RUab15nulqDEWMfClZoFm3mfk+K6pOMByjsi7Mtr01eF0SJQUequojRGKKlYMF6UumyysCRhO/BIGF29k5MuiWShB11EJL2r/NkE9/8n+I9ZXWcbWgD5FzryM8+XrUvpl3mD0WydgAPfHEEzz//PP87W9/Y//+/fzxj3/k29/+NmvXruWRRx7h/vvv74hx2nQS3aVuVmJQ3Uh0NGZTAUNybY4pVRJhXVTlqTe2WMomXTdW1G2h1h9FlkSCYaXJbsKM3WTQq65DKcx1UuuPEQwrlOS7qawJ0tptm0ZIFOBgdchoHVHsbVLv7b21e1FUnfpgci28YEQlFDEMj6Jo1AWiKUUizbGprIJQVEWLJxcrqk5VXZhcrzMrQoZ06JSurGE/7jVv4F71Ao6v11mHdUEkOnY64ck3ER07HeSeVRosYwP0xhtv8MgjjzB27FgefPBBxo4dy/3338/GjRv50Y9+ZBugY5xsZZ+3h01lFTy75CvCMRVJFJOk17JsrJAjMdVatSYmEYYiCnWBiFHjTWhdCdYSWjzY75AEQpGmF0qSVtNaBbiORRCgqj6K2yFx/fRhADy5uA4hjX2ZbMauVEO6faQmbBn4qfGcEMPNFgMEIzE24aJ1wZgRD6uPEFOMZn6Nkz2b4721e/G5ZSN5VWtwX9bUR5g0pl9b3orug64j71yPe9VLuNb8AzHstx5Se5cSnnwj4XNnoxX178JBdi0ZG6CjR49aUuZPPvmEmTNnAtCrVy/8fn8LZ9ocC2Qr+7ytmDuwSExBEgSr75QkGnk/ZgzOKYscqAigqjpV9UYJGJcs4k9wk2XqcUtFU4Vaaro6kGpUytOt3aFLFnE5RZRQ6xY40TVpGADd6qpqJgaX5Luprg8jxSW/5s7S7EHkdTuIKRrRmGbtwNJx3VbUhsnzOdF1nbr4bsw05qu3HKK0X16Xy6EzRaivbJBP799qHdcdLqP69KQbiY0855iWT2eLjA3QiSeeyJYtW6iqqmLPnj2cd955AKxcuZITTzwx6wO06Vxaq5vV0Zg7MIcsWY3WiOeZCJKxAwKoC0QJR1RyvA4iMYVYTLWqSWeLeO+4lG25uxuaDiLgD8Wsygrp0jhWpGo61XURAgmlfC6aOJCyA3VGPM5M7o2fJ0sikZiKQxb5zsUj0mqPYT7H/L5FYkYrcbPOnSSJlhE8JgyQpuHYstLY7fzrbQQloRTUwG8QmnIjkbO/he7rmKoxxyoZG6Cbb76ZO++8E1EUmTBhAqeeeipPPfUUTz75JP/zP//TEWO06URaq5vV0Zg7sMRGa1I8CVPXwSkLHKwIEFU0JEnAIYsU53uoqMks+1sUBRyS0GL5HR2jkVxbxAWdQePdmaaDlqWAVDSmEo2pXH///4csgD+sEIv7xzTA6ZBwOwWiMQ2nQ6TA50y542ktpmh+32KKauxw4+V88ryOTt15txWxYh/uD1/G/dECpIq91nHNkxevPn0jSunYY2MV0wVkbIBmzZrFqaeeyr59+zj33HMBGDt2LH//+9+ZMGFC1gdo07l0RvZ5S5grYo9LpijPKD8TU4w+PDlumeq4KECM+2mq6sIU5bkRRQFB19OO+Thko5HboRR1444VsuFibA4dw8D5g1HrPZXEhlYSgqBzYu/cVr8brcUUzXPNmJ9DFsnzOvC6HURiaqftvDPqB6REcf7rXTyrXmgqnx5+FuEpNxI5fWanyqePVdLKA3rrrbfSu5ggNGmTcDxh5wF1/H0nrphVVYt3+tToX+wFwago7XJIlFcELHGC0bxOyEhmLUsCXpdMXbD5itHHM6IAsgTR5lsbWTtPE9MlqetGPO7/XfWNJOOz5JNdLF2/P6na+CebD6Wdy9VVyaipXhudJv2AmpNPa/m9CZ87m/CkG1D7D+3QsXY03TIPKN223Me7AbLpeKwSL6vKOFIVRpZEivJc+MMKNf6o0dpASlbGGc1SM9sOaJrebFfT4xlJFBDiCbMtGR9oqiDUrf8z4jSJrrQln+xiyae7ERCS2okX5riSGgFC6phiV+68W+wHdIIb19p/Gr12vl5rndMgn76R6NgLe5x8OlukZYC2bdvW+pNsbLLE6MElvLd2L72LvAm9bYygbmKcoz3S57YYreOBVK3NW6JxZYbEQq8xRePZJV/hdcvxYqZGVe9EKUiNP4ooGrtThyTicUk4ZDFlTLFT8nFS0ET5qesMC+xg3Ja3KV7xcVP59KQbCJ93XY+WT2eLbl2M1Kbnkjgp1AVjCCTkqzRCFOKCgZ5nTzoUSYRcr4Maf4Ob0nyLdd0wLgA+j4zWzJuvajoel2RItBVD2OByilZL785wr7W2qzLjjkW6nwkHl3NW+f9Hf/9/rMd1h4vI+MsIT76R2Cnn2fLpLNImA1RVVcV//vMftHgZYF3XiUajbN68mR/+8IdZHaBNzyRRDq4oWtzICDhkwZIZx/uiGu22Nb2batWOPSQRfB4neR6ZmAY5bg1/OFninrj7rKhpWammqDr5OUbbB10HXRc6pcJGWlU9NI1rS/YSW/scp1V+ikNvMLb1fUbAhd8z5NM5Hdv7rKeSsQH65z//yX333Uc0Go37knUrwDhw4EDbANlkhUQ5uBxv/SwIOoW5bqIx1Vp960AswwrUNi3Tr6ihFM+eiiBPLfoCh0O2KkxA6tbhzaGoRokeo4qCjqJqaVXYaG9NwlSxndqIwrNLvmKAUM302pWcd2Qpp9Xst84JSl6+PGEq+VfdRq/TzrLl0x1MxgboL3/5CzNnzuSWW27hqquu4m9/+xuVlZXcf//93HrrrR0xRpsuItUEMLWD2vWmeq3rpg1j0cqdxBQVLd4lNBJV8Id6pnKto3DEDbxpSA5UBHn+na3keR0crgkjYDSuy/U6LcOfCeYCwszzMZOJW8rzyUZNwsaxnUgwyKkHVzOtcinj6jciJpjO6PCzCE++gcjpMxni9vVYlWtnk7EB2r9/P08//TQnnngiI0aM4MiRI0yePJl77rmHP//5z8yaNasjxmnTyTQ3AeTne7Nepr651zp7VF8iikbvIi+KolIXiFEbiCFLXV157fhBAMYPL+Gzr45Yx3SMuFuiRP1odcjItSL9d96UbXtcMvXBqFX5W0AjFFEQRaHZPJ/GuxdTkv/k4s0MPiE/qRVEa7GdgdEDnHng/2PCgffJV2qtx2vkfFYVnc8XJ1/K7f/v6jTvyiabZGyAPB4PYjwId9JJJ7Fjxw4mT57MyJEj2bNnT9YHaNM1NJdAuHjVzowbdbXmSmnutZau309ejhOXQ8LlkPB5nOw/Uo8kiihqF3WsPM7QIcn4tPQ8qy1GinwrAcNblfjQCSVexo/ozefbj1LjjwAN1RuO1oQQBYFAKMa8VzY0+U4k7l6C4RhV9RGrw+3h6hA79teQ53WS53Om3h2FA3zXsRbHhhcYWveVdV0VkQ25p7G8eBob8sejCDJaSGfJJ7uSDFqLiag2WSNjAzRu3Diee+457rnnHk455RTefPNN5syZw5dffonP52v9AjbHBM0VJT1SlVnlgJZcKWAYnx37ahAFAUE0io3KskiuRyYcVSiRk1fIgiC0ubWCTfvRWkj2NYVwAkYCYo7XSWm/PLbtraFPkZdgKEZ9KGZdQ0OnMNeV0oAkilBMFSQYpZdCEQUBgVBUJT9HaIgnrdnDaewx2ll/uohe4QYX2hFXXz4onsbygslUOksQzdiODoII76zZS3G+2/qOPrN4U5NEVJvsk7EB+ulPf8r3v/99Bg4cyDXXXMMzzzzDxIkTCQQC3HjjjR0xRpsuoLmipL2LMlsVNre7WbRyJxGloQClohk1XiTRcLdU10dxxLPSXQ6JUEShuj6Scctrm46hcX5QY1GCFt+pLFi2g3BUxeUQCUQUQ7Go6pZsPhxV8bjkJoKERBGKYrruBJ08n6GmE4WG495YHZPKlzNx/7sUvptaPi2cch69/lPF0UWbEOLySS2eWStg7O5SJqLaBqhDydgAjRgxguXLlxMKhcjJyeG1115j6dKlFBUVcfHFF3fEGG26gMQJILEkjsspNds1MxXN7aQOVgQpLnDjckgIoghxSb+mgyQIgEaOx4mqatRFVWr8ETvPpxuh64YREhNKIJnxISNGJxCKKBTkulBVhbqosYsRBQGFhuebDewaCxISKyNU1oQRBEMI4XHJhqghpjAutIUZmz5gzNFPcGgN8Spl4ChCk29sIp8ePbiE/iU+jlSH0HSz+6qLytoQDqlhoQWGEeruhVCPBzI2QKnqwuXl5aEoCm+99RaXXXZZVgZm07U0VxJHVbWM1EjN7aRAR1FUqusjSWV1dN2YwHK9bnQdrps2jKf/ucU2Pt0McwekJRgTURSsunxgyK+dsogsCYSjmnFcaDBUkiSgxHXdzZXnSWy7LooCzpoDXHngPaZWLqdPrCF2FZK8VI67At/lc1AGndasfPqqyYOb1H0TBaNCQyKdWQi1J5OxAWquLpzL5aJv3762ATqOaFwSB4wq0oqqp+2eaK69Q57PSXV9tMk84ZAE+hR5icRUCnxORg8uQdOar4Jg0zWYCwLrvxgCAQ1jB6vphvw6qmj0L/HhD8USdh4Cqq5bi41ITG2x5cfok/LodcIuxKV/Y2TVv5BoWLD82zuSzwfOYOBV32HUyIG0Vt0vVc25M0b2ZvWWQ0RialIx0ra0IGlv7lJPI2MD1LgunKqq7N69m9/85jd8+9vfztrAbLoH7e2Q2lyRyUWryuLKKBFZosG4CA0T0oiBBcx7ZYPVh8am+9A4BgRmfT1Q4+5Ut1NOMiyJO4+6QJRAWMHlkJrtJSSVf21Un/74FXrVHbWO1zoK+LBoCksLL+Cg50R6F3q4ZGT6xiJVzbnSfnnpt2NohmzkLvU02l0LTpIkBg8ezC9/+Ut+8pOfZL0adkVFBffeey/r16/H7XZz7bXXcscddzR5nqqq/OlPf2LJkiXU19czaNAgfvazn3HGGWcAhuGcOXMmHo/HOueUU05hwYIFWR3v8UY2OqSm+sG/vHQHRXluavxRFKVhJlNUjQKfkxEDC1i95ZDRGVPMrNWCTceT2JohFaIAoYiKSxZ5eekOSvLdnD2qryV17lvkTb07CAeM6tMfvohj+2fWYV0Q2VzwTT7qexGrnGNRBYfRlVXTKa8IZBSXTEXj72hbElFb631k05SsFSOVJIkjR1rPJ8iUO++8kwEDBrB69Wr27dvHnDlzKC0tbWLonnnmGVauXMlLL71E//79Wbx4MT/4wQ9499136d+/P5s3b2bMmDEsXLgw62M8nmnsQgtHlbQ7pLbWivlwdQg93n7ZnExEUeCiiQOTfszpVEOxU1M7l8bFXwXBqMlnVDvQKcpzU1kboj6k0LfYS00gyuoth1L399F15F0bjHbWn76OmCCfVnudZFWffun9w+wqrzPajwuJr9s9Wne311vQE8mKCMHv9/Paa68xenRmCYqtsWfPHtatW8ejjz6K2+1m6NCh3HTTTSxYsKCJAfL7/dx+++2ceOKJAFx99dU88sgj/Pvf/6Z///5s2bKFUaNGZXV8PYHRg0vYfbDOajTmcTuY9s0TWv2xp9OK+cnFW+LNzXTDfSOAzy3z3tq9HKgIEAorhjw7DWzj07k03vkYRUZ1NARkSaS6LoyqGe64w9Uh8rwOJCnZUAj+KtyfLMT94UvIe7c0XEt2EplwGeHJNyVVn75ooovHF20ykmHjxWh1IM/n6BaTfDa8BT2NrIgQZFlm3Lhx/OY3v8nGmCy+/vprCgoKKClpmOwGDRrE9u3bmzz3rrvuSvp77dq11NfXM3LkSAC2bNmCx+PhwgsvpL6+ngkTJnD33XfTt2/frI75eGNTWQWrtxwiL8dJiexG03VWbzlEab+8drdidrskojENRdWQ462YPS6Z8ooAgVCsQ1tO22RO4i5TiP+h09A5VdVAlox8mtpoQ7JwJKpSqagU5bqorAni+PeHuFe+gOvztxBiEet5yomnEp58I+Gzv4WeW9zk9UcPLqF/sZcjNWHUeMKyadgKfM4Ovfd0aE5w0xYxQ0+h3SKEjiQQCCTFbMAoBRQOt7za2bx5Mz/+8Y/50Y9+xIABAwAoLi5mzJgx3HDDDaiqym9/+1vmzJnDG2+8gdQoB6A5GreW7dVBhTm7EysWbcLllHA7k78qKzaWM/WMk5s9r8ofJdeT3IpZlgSq/VHrfSvtn091XSjp2uGogqqDKIpoqma71roRiZ9Dn0IPOV4ngVCMGn+ESNQoGJuf46I+kFywVAAKIpVccHglF9etoGD1wYYHPTkw+Vq45BbkYePJEQSab+AM3585mmcWb0KW4xUQYiqKovPt6SOy/nvM9HpTe+WSn+9l8aqdHKkK0rvIy6zJQxg/sk9Wx9XRdOa8lpYBWr9+fdoXnDBhQpsH0xiv19vE2JgJsM3xz3/+kwceeIDbb7+dm2++2Tr+7LPPJj3vnnvu4cwzz6SsrIxhw4alNZ7KSr9VRqSnVMs9eNSP1y1buToOWUQUBA4e9bd4/0U5zibuiEhMpTDHaZ03dVx/FizbgaLqSStGUTDcOVJDfqpNN0ESBQp8DhAEYoqG0yHRu9CQzcsC5HidVMbdYZKuMKHuc6ZXL+e0+g1J8unY0ImEptxEZOJMNh0I8957e6lYuLRV6fJJJV6umTqkSWzxpBJvVn+Pbf19n1TibVIr8ViaJ7I9r4mi0GThnkhaBuiGG26wev9AQ6JZ478Btm7d2ubBNmbo0KFUV1dTVVVFUZGR0VxWVsaQIUOaPFfXdX73u9+xePFiHnvsMSZNmmQ9VllZyV//+lduvfVWCgoKAIhGjVWa2237Z5tjU1kFwbBCdX0YhyyR53PikJ1p+bVbckckihPcTgl0nWBYsSaT99buZVd5nd1krotobtcpiVCY6yIaU6mrDeNzy+T5nNZne01cYPDAgy8ztWoZk6tWUqjUWOfXSPk4L7qJ8KQbUE8YDrRNutxVrbt7Ih2d15SWAfrwww+tf3/00UfMnz+fe+65h7Fjx+JwONi8eTMPPfQQ3/3ud7M2MIDS0lLGjRvHvHnzuO+++ygvL+fFF1/ktttua/LcJ554grfffpvXXnuNk09Odg3l5+fz/vvvEwgE+NWvfkUoFOKBBx7gzDPPZOBA2z+bCnNicDpEIoqx2q2sDRlKNaH1JL3m8n+ApAnHnLyun56sjnr+na3UBe3tT2dj5vc4ZRG3UyIQNlI7vW6JQEihotYoiyOKAvXBGKqmc0KJj0vG9eKb5UtxL3iRJ7Z/al1PQ2BjzjjeL5rGv/LGc9vEbzL6hNYroXemqq0z+14dS3RGXpOg65kVOZk2bRoPPfQQp59+etLxDRs2cOeddyYZq2xw5MgR5s6dy/r163E4HMyePZvbbruN8vJyZsyYwfz58xk9ejTjx49HVVWczuRg5AMPPMDll19OWVkZDz/8MJs2bULXdauHkbkjSoee5IKb98oGy4UWDBu9YWKKhsclc8ulhrCjLSujxOuaRGIqsiiQ43FY1xsxsIAlq3fbQoQuwuUQiSkaDlk0Wh74o5Yb1pQ+65rKROcBfpK/0ZBPh+qs8w87erG88AJWFJ5PhbMXgmDEh/oUerhr9mnW8+56+lO87uRYoR7fEc/74Vkdfp+Jk2ziTv22q8b2yHYMifNac7/VAp8z6TNsiay44BKpqKhIOWk7nU78fn+ml2uV3r1788QTTzQ53r9/fzZu3Gj9vWnTphavM3jwYP76179mfXzHK4k5DYJgNCIT0InGVHYfrLOSRDNdGaXKlVBVjSNVYXoXefG6ZQ5VBSkrrzMmJbsIXJcQiRnGxkwAtowP4FX8TKn5kGlVyxgU3m2dExMcfFFyFmsGXMxyZRgaRn6Xy2G4b93OpgU+3U6JQ5XBhOKgzhYb1WWbbPa9Ot7ojLymjA3QhAkTeOihh5g3bx59+hjqjr179/Lggw9y7rnnZm1gNl2LmdOgaTpVdWFAQBCMYpPvrNlLjseB152e2yTRxREMK6iaTl6CbLbWH0WOTwLVdeGkTpw2XYui6lTWhRF0jW8EtjCtajln1X2GU2/4jPa4BrKiZBqf95+GWNALAGdVkJhiyOv7xFt4NC7wuamsgrpAFFXTEQQsN6/P4+Sa85vGeTuCbPW9Oh7pjLymjA3Qb37zG77//e8zZcoUCgsL0XWd6upqTj31VO67776sDcymazFFBLX+aLz0viEIKMozKhgEw7EkI9LcyqixH1lRNWoDRu5HrtdBVDHygHwemQNH/XbB0W5GUaySqdUfMK16Of2ih63jQdHNx/nnsrRoGjs8Qw2/XBgcFQEKc13k+ZxU1oaIKRq6rqfMiXlv7V68Hgcup9F0TlE0JFHEIRqPmSV8OrKgZ7b6Xh2PdEZeU8YGqH///rz11lusXr2anTt3IggCI0eOZOLEiVarbptjH/MH/+RiI0NdkoykP5/HgaMu0qQldnMro8YujvwcF2AkJ0pxV0ssqlATiNn13roJpnx6WvVyvtlIPv2VdwTLCi/gk/yzCUueJucqikZVXZiiPDd5PheRqJqkcEzVdltwSHjdDgACoShVdREcTrlTCnpeNHEgz7+zlapaI7lVEgXcTolZV3bODqw705yQqNNVcE1OkmUmTZqUJHW2Of4YPbiEwSfkNVkhelwSgZCeVL6+uZVRKheHLAkEQgkKN8FON+0O9I8cYFrVcqbWJMuna6U8Piw5n3UDLuHLaO8Wr2HWiKusDSGKIh6n1GTiMl2ytf4IdYEo+TlOywDVBWKWOxY6SRVnCSDi9aDSKT7YQ+hoyXtaBuitt97iwgsvxOl0pqwFl4jdD+j4YVNZhdHHpSoYDxA7cLtkHLLIjDMHWpWNW1oZNXZxBMMxquuj6LpOZW3Ycts5ZaOUi03n4tIinFX7KdOrlzMq8G/ruCGfHsvSommsy52AN8dLRNEAtfmLYRQJ1eL5W3k+B7leR9IuBhpk+AW5RnvtqroIuq4jyxKKqlHcaCfdkQU931u7F69bpjDXZR2LxFRbhNBJpGWAfvGLX3DWWWdRXFzcbEM6MNRStgE6PkiM3RTnu6n1G66RE/s6uW7aYEYPLuHyVs5/b+1eyisChKKqlbRY648mudrMvU+0tU5iNlllcKiM6VXLmFTzET6tIeBuyKensqJwKkedvazjgYhCa/sCASgp8FBTb8T4zBhh4i4GaHDJOiQEQaCyNkRlbQRZEnDIYlKHXOjYgp62CKFrScsAJdZ/68xacDZdR1LsJu6jj8RU8nyupJ1OqiQ+gOff3UY4ohjNyYSGpMXEtDPb0dG5+FQ/k2o+4sKqZQwK/8c6HhNk1uRNZFnhBXyRMwZdaIjlWs5R3cjpMAqPpnaXmgmqre1iEid83VC4IIo6/Up81AdjlkglscpCRxX0tEUIXUubYkBvvvkmEydOpG/fvjz33HO88cYbjBkzhnvuuQev1/7gjgfSWRk2lymt60YwWRBEJFFE00FHI9/n5IQSH9v21tjGp5MQdI1RgX8zrXo5Z9d+miSfPuAdyIaTLuVVzqBOzkt5viwbrdBlyWgK6JBFUDTLCCWmamk6VFQHkUSRyroIdcEYeV4HXrcjaReTOOHXBWOgg0M2dkPmrqkl8UI2aU7pNWuyLULoDDI2QH/+8595/vnn+dvf/sb+/fv5wx/+wDXXXMPatWt55JFHuP/++ztinDadTDorw+aS+A5XBhFFwWoaJgqg6gKHq4JcNesbbN9bY0sOOpiiWBVTq1dwQfUK+kcPWcdDopuP889hadE0ynKGo+rN5/oKAqiqjoCxqzHrAQIcrQnFewAln2N4zzQEIa6Iq49YFRUSSzHVRhRCEZVIzIgpqVGVfYeNDHyHbHynOqMSQnNKr/Ej+xzXlU66CxkboDfeeINHHnmEsWPH8uCDDzJu3Djuv/9+Nm7cyI9+9CPbAB0npLMybG6XpGO4acwEQ0kU4sIigdGDSzjjlN589pXRPdfWv2UPSVcYX/8vplUtZ3z9v5Lk01u9w+Py6XMImfLpVkQfZtM3r0skomhWomiez4UoCKgtVanQQZQMw1UXiOHzGI0GL5o4kLNH9eWdz/aiNCp1bnr2ojENTafdbbbTxS5u2nVkbICOHj1qdRb95JNPmDlzJgC9evXqkFI8Nl1DOivDxF2SVS8ulqyS0nWs5FJJNOpLXTRxIH2KvCxdv59gRMGuuNM++kXKmVa9gqnVH1CkVFvHa6U8PiiczLLCaexzn9ima+d4ZYrzPEn1ACNRFa9bJhiONatcNBchAAhGFW3TRetySBQXuKmsCRFLkXis09AZ1zYMxzcZG6ATTzyRLVu2UFVVxZ49ezjvvPMAWLlypdUO2+b4oPHKcFNZBb96ejUHj/qtgqGrtxyiNqJQHzJ8+Zre/K6mKK9hErpu2jDmXH6KFUOqqAnZVRAywKlFOKv2M6ZXL+MbLcinFdHRrtfpU+hFUXW8biOWoye0zvj6QC3N7V8FAfS4HNvpEBEEocFFWxWkX4mvxc87z+fsFm22bTqWjA3QzTffzJ133okoikyYMIFTTz2Vp556iieffJL/+Z//6Ygx2nQDTMGByylZgoPVWw5x9qi+LF2/H3QdhyyhKxqyKKBqmhUj0DHUUWayYUpJLg2tnW2aZ1BoV1w+/SE5CfLpI45eLC88n+WFFyTJp9tLJKYiJVQ4McUEF00cyPbXmy8AbMT9jH/neRuMoFMWAYGoorXoeu1I6bVN9yFjAzRr1ixOPfVU9u3bZxUfHTt2LH//+9+z2g3VpnthCg7cTqM7qrma3ba3Bq9bxueRqamPoGk60QSZrigKCLohv957yHDdSZJAMBTD6ZCsGJIsifEVsW2BGmPKp6dXLWdweJd1PCbIrM09naVF0/gyZzSakF5r+Uyoqg2Tl+NqUvFi9OASRFFooXySgCAYvaPMhQcYhiXP56CypvndjSwJLUqvO7pJmk3n0SYZ9vDhwxk+fLj191lndbxaxaZraak0u9spceBoIOWKVksxQSmqTl0whiQq1AWiFMSLV9oulwR0nVGBfzO9ehln1X6GS49aD+11ncjSwgtYWTiZOjm/w4YgCobBkAUyl0QLoGvGLmjf4XocsoTHJRlCA13H55HxB2MoKZKSRUEgElWtXXJjN3BHN0mz6TzaZIBqa2tZuHAhu3bt4he/+AXr169n6NChDB48ONvjs+kmmIIDZ4rS7P5gtE1KNgEdVTPqhuV4HCmNVU+jMFbF1OqVTKteTv/oQeu4JZ8uvIDt3uGdUq9M00FTdarqo8y5/JQmE7yZG5QKVdUtGb6mQ1RR0TSdPK+Mw+nA5ZDIz3ERDMfiFdd1+hR5qQtEkSSRYDjG1/trKDtQx4wzB3L5OYOAptJ/VdWo9Ud5cvFmBp+Q36KBtHdO3Y+MDdB//vMfrrvuOnJzczlw4AC33347S5cu5e677+a5557jtNPS65Rnc2xhyrLDUQVREJLcMS8v3WHUAMvQfiga9CpwUV0foTbQc3sAibpqyacn1H+eJJ/e5hnO0qJG8ulORBAgElNS7jKcDslqXNfkPIjnggloumGsCnJdVNaE6edtaOPhdTvwuGSCYYUcj4NAWKE+GAUEJFFE1XTeWbOX0n5GomzZgTqjeZ0s4pJFq0SQrust7obsnVP3JGMD9PDDD3PhhRdy//33M27cOAD+8Ic/cM899/DHP/6RBQsWZH2QNl2P+SNdsbHcUsGZK8iS/L3UBaJEE7pmZmKLemobBlM+fX71BxQnyKfrpFw+KJjCsqIL2OvumBI06aLrhhutojbM44s2MezEAutzP6HEx9f7a9C0eB3pBDl9vK40YLjyFNVYsCiqxv6jAaPVd6MqCUbDwhjQKIlZ01m0cicRRbMKp6uqRl1URRIBQbSSV5urnN1c0rQt9e5aMjZAX375Jf/93/+ddEwURebMmcOsWbOyNjCb7sfowSVMPePkJhniZk8VRdXiZXfSp6o+0qNygFqST3+RM4alRdNYm3t6u+XT2cZUM27fW8OOfTV4XRLhqGqpFgWMhONEaXVM1ZEl41FBEKiqCyNJArqup6yS8N7avVTXh5NUdzrgkEQOV4cpLnBbFbTNZY6qgSzp5PmMatbNVc7ujPbSNpnTphhQJBJpcqyyshKn05ni2TbHO6MHl/C9GSNZtHInB6tCaPEKCC3lBJnomt4jqiGcHNrF9KrlTK5ZlSSfPuooYXnhVJYXns8RZ58uHGF6mP1+/GG1yXHT+CTGfhRVN9RwohDvrAs6xlZJ14yqB9+5eIS1Cyk7UBffEeuWcdN1FRBwykY+UVGem7pAFCU+hKI8Nx6XMZU1J9/ujPbSNpmTsQE6//zzeeyxx3j00UetY/v27eN//ud/mDx5cjbHZtNNaS6Y21it9Py72wiEY6gtJBwez943n+rnvJqPmV61jCGN5NPrcifwftH0DpNPdxWiAAiQWGVHNKyOtciQBNAFAR1Dkm9+b0YPLmHGmQN569M9qFrTaun1QaMNvMcl43HJ1PojBEIKoigQCEWpC8RQVCMPrXEZn85oL22TORkboLvvvptbbrmFiRMnoigKV199NbW1tYwZM6aJa87m2KQltdDnWw+nFcxNbPQViihU1YWT3DPH7a4nLp82q08ny6cHsLRwWofLp7OBLAltqkyh6SDo4JAMA2PUkpNRVaODrhhX7wnE6wU2eo3LzxnE59uPcqQ6ZIgNJNFoyxBT8QdjuJySZUDMxoifbzvCkboIcrx3laLpTb6TndFe2iZzMjZAsViMhQsX8umnn7J161YcDgdDhw7lzDPP7IjxUVFRwb333sv69etxu91ce+213HHHHSmfu2jRIp5++mkqKys55ZRTmDt3LkOGGMUzA4EADzzwAKtWrQLg0ksv5e6778bh6F6+9q7G3LmYvXzqAlGef3cb37vEcJMsXrUTSRLRNJ0j1SEUVUMUBBatKkv6MVfUhhEEOFwfMValkoiqGROQLItEoi131jzWMOXTF1Sv4IRouXU8LLj4qOAclhZO6zT5dKaYuxZREAEdSTIEAkdbSBZtCUOQICQZGVkSiMR0NF1IUEwaxxsTjqr0LfYiJLxXbqeEqukUxPPFEg3Itr019NZJcq+lEhjYRUe7HxkboP/6r//iz3/+M2eddVanJKDeeeedDBgwgNWrV7Nv3z7mzJlDaWkpl156adLz1q5dy+9+9zuee+45Ro4cyZNPPsmPfvQj3n33XQRB4MEHH6SyspIVK1bg9/v54Q9/yPPPP8+tt97a4fdwLLFoVVlSLx9V06kLRPnzPzYzdEA+B6uCOGWR6voIhlrJyAUprwgkuT3cTomDlQFAQNN1FNUwOLpAk46XxyqirvLN+n8xPaV8ehjLii7g4/xzCEndu0dW7yIvR6uD6LqGqoGiqhxt5wIhqmjEC6AjSwL9S3wcrg4RiijWgsTjctGnsKm0vLl4zQklPu6a3TTNwxYYHLtkbIB0Xe80scGePXtYt24djz76KG63m6FDh3LTTTexYMGCJgbo9ddfZ8aMGYwZMwaA//f//h//93//x2effcZpp53G22+/zYIFC8jNzSU3N5fbb7+dBx98sNsaoK5KmjtcFcSUwWq6bkmkVU1nV7mRg+HXdQRBtILNYBSdfHLxZmNCEQQOVgbjQeRkF8vxkGzaN3IwXn16RRP59MqCSSwruoA97tKuG2AGiALU+aMt1uCTJUNAIIoCuqaj6TqFOU4q66NJ12nuo83zOa0YTEFu07I+jTGfWxdVCYZj8V22yBkje6e8vi0wOHZp0w7o5ptvZtasWQwYMAC3O/lDvuyyy7I2uK+//pqCggJKShom3kGDBrF9+/Ymz925cydXXXWV9bckSZSWlrJ9+3aKioqIxWKWO868zuHDh6mpqaGgoCBrY84GnZU0l7qdtlHDC2jin9d0w4AYiYU6um4aKTPXQ+dgVQjQm0xGZv7GsWp+nFqEM+vWMK1qOWMCm5Me25gzhqWF01iTN7Hbyadbw1CqqS22xJAkkb7xRoSRmIosQI7XSV1QsXr6JH7eAnGjRfyaup5RDGb04BJ2H6zjnTV7jS6sklHGZ/WWQ5T2y2tyji0wOHbJ2AA99dRTADzzzDNNHhMEIasGKBAI4PEkb9E9Hg/hcNOtdSAQaGIM3W43oVDI6lOUeC3z36mu1dV0RtJcc0YuzytTE4ih6k2rFeu6Zk1Sajzhx3yOlnBcEgWE+K4IsJrSHYvtFk4O7WJa9XKmVH9Ijhawjh91FLO88IJjRj7dElEl9ecixYuNxhQNXdeJKhrBUIyYqnGkJkwsYduUWMlcEI3vgyyL5HpkwvFqCY2N0KJVZSxauZPaYMyKE/Uv8XHRxIFs21tDcb47Oa4TU1P+BmyBwbFLxgZo27ZtHTGOlHi93iYGIhQKkZOT0+S5Ho+nSX5SOBwmJycHr9dr/W3+OxQKAaS8VnMUFyc/t1ev3LTPzYQqf5Rcj5wUhJUlgWp/NGuvuWLRJsOd5m9IBvS6ZXJz3ISiKsFI0xhAopvG9O+nWjWrmlEHzFS6JTalOxYw5dPTqpczNFRmHVeQWJt3OsuKLmBjztjjSj6dCvMT03Wdg5VB+vfyoWk6gdqwpWYzMXfBOuByyJzQywdAOKpQmOehV69cPt96mFdX7ESWDSHKwcogevwLJIgCkRgcrQ3z6oqdhKJG8dN0fwNTe+Uy9YyTs3r/HfX77u505n23KRG1sxg6dCjV1dVUVVVRVFQEQFlZWZIrLfG5u3Y15Fqoqsru3bsZOnQopaWlOBwOdu3aZXVzLSsro2/fvhkZoMpKvxXD6NUrt8N6xhflOJv4tCMxlcIcZ9Zec3d5rdGNFMNQxBSNGn+UaEyjKM+NUh2ySuukRBBajOdoesMK+phA1zk1+BXTqpZzTu3qJPn0PtcAlhVewAeFk6mVC7psiJ2NFl9IFOW5kGWJYChGZW3YaLERtwuN5fS6DuGIQjSmWq6wqeP6c/RoPQuXbgMBJFGkoiaIEBewCIAsCGhAIBSjINdFLKYRCCtp/wayHTPtyN93dybb9y2KQpOFeyLd2gCVlpYybtw45s2bx3333Ud5eTkvvvgit912W5Pnzpo1i5/85CdccsklfOMb3+DJJ58kLy+P8ePH43A4uPDCC3n00Uf54x//SDgc5qmnnuLKK6/sgrtqnY7waTf+gUZjKsQDy5Ccl2HKYMNRlYqaUJN4jiGdFWi5pZixchYEo71yIKR0y/hPQaya82tWMq1qOQMayac/KTibpYXT2Ood0S3l051BnyIviqpRHS+bo+mgqzqiLDSJG0lxJYKuQ3V9hBPi7jTTECSq1Uz5PjQYMLNmnFMWrZ5Azf0GEr/PbodIXUjB65btQqPHGN3aAAE8/vjjzJ07lylTpuBwOJg9ezZXX3015eXlzJgxg/nz5zN+/HjOPvtsfvnLX/KrX/2KI0eOcOqpp/LMM89YeT4PPPAADz30EJdccgmqqnLZZZc1m0/U1WTbp50q3mMVDk2Rl2GqijwumZICD0erQ9Yk4ZDEpLlYEOIKKK2pwEDXjXbMkZhGfo6TGn+U7oAhn97AtOrlnF63Pkk+vd0zlGVFF/BR/rndXj7dGYSjalxy34BOvE9QQrKqsRMSEEXI9TrpU+hpIplOVKs1NCBsqHhgiFsMY2PGglL9Bhp/nw9VBlE1DbdTSmr93VrM1G7P0PUIut6c9qWBefPmceutt5Kfn095eTn9+vVL8s32FDrLBZdt5r2yoYlL72BFAFXXcUiilZchSwKaZpRHCUdUcrwOcr0ODlUGiSkagghSPFnR3BU5ZYGoojdxtUkiCIKIqmoIosCJvXPYc6hr368+0UNMq1rBBdUrKFaqrON1Ui6rCiax9BiST3c3RNGo1Zbnc+J2SgTDCvN+mJwnmGg4VFWjqi7c0LI9LpPM87mQJYHrpg1r1hg0/j7vP2KIjByySJ+4Wk/X9ZRjSDWWxB2W+brH0u87m5j3nS3jnBUX3Msvv8zs2bPJz89n6tSprF692orJ2HQNmXxBUiXq5fkcVNVFKCgw8jLqgzFqAxHyvE6jO6kaosYfocYfwSmLuJ1GIchwVDXKrQhwxsjeTDy1L4tW7mR/RUOBTUnEqmisAM54g7GuwKFFOavus5Ty6S98o1laZMinY6JdSLctuBwiXreDPF/D+xeJqSlzcBrv7PsV+0DXk1RwfQo9rU52jb/PoigQUzTUqMreQ/XIskiOx5EyydXEbs/QPJ3ZOyktAzRgwADuuOMORo4cia7r/Pa3v8XlcqV87sMPP5zVAdo0JdMvSKpEPVmW6F/sJcfrtPqwCBgFH/2hGJquG2VzJIHCPDd1/ijhqGK4OGQBr9vBzvI6Jp7al7k3n8G8VzZwqCpIfShmNQgzq2F7XBKVnZyVXhr6D9OrlzO55kNyVb91vEIuZnnh+SwvmsphZ99OHdOxRJ7PSSymEIo2L0QRRYFe+W4iikatP0IoohJTNSRRaDZpNBvlcBK/z6GIklRZQ8cU1ESYNKZfs9ewqyc0T2ca57QM0B/+8AeeeeYZDh8+jCAIHDlyxK6h1oVk+gVpTtRwTdzdsKmsgscXbTLUTRiSaR2QJePHXF0fIRI1khX7FHqsttyJeRnma+R6HPiDMWJxl1ye10EgFO2UqtdeNcB5NZ8wvXoZQ0M7reMKEuvyJrC08AI25o477uXT7UUAzh/Xn217a9i5v4bmxJAOSSQc0zjnG31557O9aLqGQzJ2RM0ljYKxgFq0qsyqutGn0M1VU4akPbklfp9r/U1bwwgYcclte2u4vJlr2NUTmqczjXNaBuiUU07hT3/6E2C0Y/jzn/9MYWFh1gdjkx7pfkGSlEJOCeJ+8cYuu/fW7kWWRMu1ZqaQmkFiNZ4ApOtwtCZEYa6x+62ui3CoMsitj6ykT5GXs0f15fNtR6gLRHHKIvk5TiRJpC7Yge43XeeU4FdMTyGf3u86gaWFF7CyYAo1joKOG0M3pqUKB0nPo6GLaUGui8+3HwVdb9b4gFFBwe10G0mjBekljVptOkJG221BMKpnPP/OVr43Y2RaRijxe3ukynD9Jrp9zd13SxOmXT2heTrTOGesgvvggw8oLy/nr3/9K19//TWyLDN06FC+9a1vccIJJ2R9gDZNSecL0thNZ/7Arp/eNLhbURsmP8dJdX0ETU+W10qiESAWMBVLAjX+KIraUBVB0+FgZYAPNsbI8zroXeS1xhaKKB3yHhTEaphSs5LpVcuS5NMRwcnHBeewrPACvvKO7LHyaZN0u81aTxPAH4pRXR+hb7GXghwHNf6mCwhTvF8XiFIXiFKQm+ySb25B9OySr6z8M0kyvlsahvQ/ExeP6cqb98qGeI3C5HuRRKHFCdOuntA8nWmcMzZAW7du5frrrycvL4/Ro0ejaRpvvvkmL7/8MgsWLGDEiBFZH6RNMul8QVK56eqiKs8u+QqvW076wZkGzew0mSipFgXB2BmJZs6GjpJQusXMHxKAQChKKByjX4mRBR+KKBypDmXtvkVd5bT6jZZ8WqahWsPXniEsLbyAjwrOJSj5svaaPQ1db6hWrqoakZhm5X0pqtaQeBpPUJUkkTq/IetPZ0EUjsWromPusM0uqnqbXDwXTRxo7ajUhMWT2yW1OmHa7RlS05nGOWMD9Pvf/57zzjuPefPmWXGgWCzGL3/5Sx555BGee+65rA/SJpl0viCN3XShiEJdIIKOQEmBO0m4YBo0SRLpXeixan5FYiqKapTpyfMZK9xaf9RqrQAJ5VowyrGo6Bw46schS1mrgmDKp6dWf0CJUmkdr5dyDPl04QXs9mS3DEtPYeY5pfEOpE0/q4oao+qBKDRsJB2yaLm4vG4Huq4jtZI0Cg0LIkczvaA03WjhkSmjB5fwvUtGJMWU+ha1HlOyc4BaprOMc8YG6IsvvuD1119PEiE4HA5uvfVWrrnmmqwOzqZ5WvuCNHbT1QUMn7tDFpsk65kJg4k/yGvON8odLVi2A0XVqfUbjeVEUaQ4z0VVXaTZygaqBlpUbVflA4cW5Yy6tUyvWsbYwKakx770fYOlRdP4LO8MWz7dTi4/ZxBvfbon5WM68fYZIuhxA5VYnmnf4Xrk+KLlqsmD01oQuR3NNyNsq7s208myNRXpprIKVizaxMGj/i4xTj3JOGZsgPLy8ggEAk2O+/1+ZLnbF1boMTR208UUFQSBPG/DwiHRT994V/Xe2r1cNHEgZ4/qm1QWP8crE4u1VoSn7W0XSkO7mRaXT+epDYmAtny64xAFAUEyXKmNY0aCQLO9grS4u85Y3JCyWZyJuSCKxJpXNVTXR5KaGnYULalIwVh0uZxSl5T16cwcnO5AxhZj8uTJzJ07l8cee4yBA40t9u7du3nooYeYNGlS1gdo0zYaGxSXQ8YZTxo0SfTTN/fFd8liUll8hyziD8WyqmzzqEHOq/2Y6VXLGRb62jpuyqeXFV7ABls+nXVcDkM11qfQzcGqUGrBQisyOlkW8XocrQoIzAVRTGm+06osiZ2SCNqSitQ0Tm6nTCwe1+rMBNWeliCbsQH66U9/yne/+10uvPBCS4pdXV3NmDFjuPvuu7M+QJu2k+iaMA1MJKam9NMnfvFr/RFDjBCfd3K9Mi5HQ1a50sIkkja6zinBrUyrXs45Natx6w35HPud/VledAErCqZQ47Dl/h3FaUON78ZVU4bw/DtbqQ/F0PWGVhu5HgeBcGq3mClG0DQ9rRwR83v47JKvCEeVlHlheT5HpySCtqQi7eoE1a5+/c4mYwNUUFDAP/7xDz7++GO+/vprXC4XQ4YM4cwzz+yI8dlkidaEC+YXv9YfaVI0tD6oIBCmMM9NIBSjsq5p8l+65Cs1nF+9kunVyxkQOWAdjwhOPsk/m6VFF/CV95QeL5/uaASgOuFzdsTbbpvkeGQC4Viz7jfzqXJ8MZNOjsjowSXMufwUnn93m+W2S0TVjN1YR2HGVsorAoSiKj63TJ7PmbQYe2/tXmoCUSvZGjo3QbWnJci2KWgjiiKTJk2yXW7HGC0Fa80vvjkxJCYm6kB9KIbTIVJdH0XXjfwgaD4+kIioq4zzf8H0qmW2fLqbUFJgrPaXfLKLJZ/uRjO7mRL/vIPGzkcSBUv11hhRAI9TyihHZPTgEvI8MsFwDEU15PuCYHRT9gdj3HTR8KzcX2MSXcwFuS6kYAx/MIaq6U3aRixYtoNwVEEUhE5PUO1pCbK2asAGaPjimxONlQeUYGhq/bH4ZGH8bbViaCZE0Cd6mAuqljO15gN6xRrk037Rx8rCybZ8uosw+u7oBMMx/vnJ7qTHzCROLV7IzyjPJKBqWpPFhiAI5LjlFiXPm8oqWLRyJ4erw4BOnyIvtcEY/Ut8RmpAMIaiGNXYnQ6xw+IcjWMreT4nLqdEgc+ZJJ4wX3/FxvIuUcH1tARZ2wAdw7RHrpnq3OumDePxRZvR4o3kxHj3SlXT8bokZEkgEDZWhqquW6X0TURRQFYiTKxby7Tq5Yzzf5n0mrZ8unug6VAbiNCck1PTjWJMIlifsSSKaJqhfizMdZHrdRBVNCIt1OrZVFbB8+9sJRBWLC3DwcoAICCJAvk5LksUE4mpFPg67juRSWxl9OASpp5xcpe1Y+hJCbK2ATpGaY9cs7lzr5s2jMvPPokln+5GwEhAVDUdHZ3pEwawdP1+o6WyIMR3QYYREgQ4RT/ABRXLmHhoBbkJ8ulKuYjlhVNZZsunuxRJTHaXmg3kGgvmjUrmxn9lSaS4wEN1XRhF1eLttAWr9UJrCq331u4lHC9iKwoCCKDpAjo6gbCC2yV3mpuppdhKqsXY1F65HTYWmwZsA3SM0h65Zkvnmu6Ipev3E44quJ0y0ycM4PJzBrFiwwEExVghC0COHuKc6o+5sHo5gwM7rOuriJZ8+l+5p9ny6S4m9U5HQNf0Ji5U85+CYEzQVbUhcr0OZFniSFWQojRqvplU1IZR469hYi5qPC6ZAp+z09xMzcVWRgwsSLkYy8/3clKJ3RG3o8nYAP3zn/9s9jGn00mfPn0YO3YskmRPOh1Je+SarZ17+TmDuPycQU3OO6HEx9GaICdUbGbKkaWcU/sJbq1BEXfA2Z9ltny6W9CrwI2i6tT4I/FJ3zguioIlLNBJneIjCkaMxCGL1AViVNVF6F/spX+JD6VRwK8lhVZJfry2YHzBAoaxk0SR/iW+FhNXs01zsZXmFmOLV+3kzqtGd9r4eioZG6CnnnqK/fv3o2kaeXl56LpOfX291aJb13VKS0t5/vnn6d+/f9YHbGPQHrlmW84Vao8yR1lKzsaX6BfcZx2PiC4+zT+TpYXT2GLLp7sNlbVh+pf4mDSmH9v21rBjXw0OWSQ/x4Wupy78KYkCBT4HDqdsfTfyc1z4QzFyvM4WdxHzXtnQZDdz0cSBVgxIw6yyoON2O7tE1ZUqtvLy0h0pF2NmmwebjiVjA/Ttb3+bt956i0ceeYShQ4cCsGvXLv77v/+bK664gosuuohf//rX/P73v7d6CNlkn/bINdM5d1NZBe+v+Q8lZZ9w7uH3mVCzlpIE+fR/coayofRSPik8j111oqGassk6TaM0rSMK0LvIC7rOtr017DlktCuIxDSO1oTI9TiQJZGYYlS3djkl8nxORFGgsiZMP2+yGMDcHafaRYwYWMDqLYeajUV+b8ZISwUnCDp9inxcNXlwtwmyN7cY611ku986A0HX0+0YYnDuuefyxBNPMGbMmKTjmzZt4vbbb+fjjz9m27Zt3HTTTaxduzarg+1qKiv91kTbq1dul6lkTLKtgjPP3fH5F1Qu+gtnH15KcbTCOscv+fiwYDIf9rmQ+j4jCMc0av1RQCempgpp23QFoihQlOukqi6CxyWnrGYgYEjsi/M9eFzGOlTXdQ5WBCgu8KBpOnWBKIpqxHB6F3qY+/2JTa4z75UNTSZwU9HWmS62tpIoyElcjN121dgeGQPK9rwmigLFxTnNPp7xDigYDKZsxy1JEn6/HwCfz0c02jTT2Sa7tEeu2eTcWATXZ//AvepFztyyCjHBlHzp+wbLCi9gTcEZKLIbVdVx1oTJ8zlQtIbGdLbx6VoMoyJYsRtZEq0K040XBzqQ53NZxgeMlX+fIi91wZjVsdSMH9UFoikLhR7rpWOaiw2NH9mnyxeYPYGMDdBZZ53F3Llz+eMf/2h1QN23bx8PPfQQZ5xxBrqu849//IPhwzsmo9kmu0j7vsK96kXcn7yK6K+yjtc4i1leMIWlBVM56OrXUBlBM9t1a0YplwysTktJqzaZI0uC1TYdzI/CUJjV+iMU57s5WtNgCMzP0CEJxFQdWRKa1Aa85vxhvPTeNjTd2BHpAuR4HM0WHD0eSsf0pLyb7kbGBug3v/kNc+bM4YILLqC4uBhN06iurmbUqFHcf//9fPTRR/z973/nL3/5S7sHV1FRwb333sv69etxu91ce+213HHHHSmfq6oqf/rTn1iyZAn19fUMGjSIn/3sZ5xxxhkAbNu2jZkzZ+LxNBTVPOWUU1iwYEG7x3msIYTqcX32D7T3nyd//xfWcVUQ+bJwIsuKLuCrktMJxrB6t+gkF0Y2ExVtv1vH0UohaiDZCAmAz+2gT6EHn1tGaSSzNi8VU3VEQeDsUX35fPtRDlYYyaF9Ct3sPlhHtT+KJApW2+1ARMHpSL2r6WmlY2yyS8YGqLi4mEWLFrFu3Tq++uorJEli+PDhTJxo+IddLhcfffQReXl57R7cnXfeyYABA1i9ejX79u1jzpw5lJaWcumllzZ57jPPPMPKlSt56aWX6N+/P4sXL+YHP/gB7777Lv3792fz5s2MGTOGhQsXtntcxyS6jvz1OmO3s2YxQqShp9MhV3/eL5jKisIp1LuLcTslgiEFj1NOdtvoyf9OXH2nQ7y6i22v0kUHt1MkHE1dbcCspWbidIhWEc3xw3uxesshKwbU+D13yAIfbDgAgkBxgccyHm99ugdNB001qmHIkoCgQ10gxqD+TX/TzQkT3lu7l5eX7jjuS8nYtI82JaJWV1cjyzKjRo0CjK36J598wubNm/nhD3+YlYHt2bOHdevW8eijj+J2uxk6dCg33XQTCxYsSGmA/H4/t99+OyeeeCIAV199NY888gj//ve/6d+/P1u2bLHG25MQ6ipwf/Iq7pUvIJdvt47HRCef9zqXj/pczGptMHpcPi2oOuGoitdl9EPJNrbxSR8diCktv2OJj0YVjZiisqu8jh37aijMcVKY6yIaU4gldNAQBVA0HSUcQxJFCuPJpZqmJ7Xm1uMN50QBNPRm5dap2n70lIZqNu2jTYmo9913H7FY04ZkAwcOzMgARSIRjh49mvKxr7/+moKCAkpKGr60gwYNYvv27Smff9dddyX9vXbtWurr6xk5ciQAW7ZswePxcOGFF1JfX8+ECRO4++676du3Y8vDdEl7XU3FsWUlnpUv4vzXOwhqw2cVKx1DeMpN/PfWgQg5BRypDqHH3WwNuxOBmKJZvV6iHWCIbNJDS0OkairaQKAuEEOSRERRoD6kIEoifYp8HKwMIAgCqhavbG3tXhs+28QWCbIkWKWWdB2K890tyq1NelpDNZOe1EY7m2RsgP7yl78wc+ZMbrnlFq666ir+9re/UVlZyf3338+tt96a0bW++OILbrzxxpSPzZs3LyleA+DxeAiHW1fXbN68mR//+Mf86Ec/YsCAAYDhOhwzZgw33HADqqry29/+ljlz5vDGG2+kXbWhsZywVyv1oj7fephXV+xElgXyc5z4wzFeXbGT/Hwv40f2Ses1M+LwHnj/b/D+83C0IVkUXz5MvR4u+j6OIeNwAAVPr6a6LmS4cRJiDYJg1A1TVB1RFNKaAG06jtbefo9LJqaoiIJATNWsata6bpS8qUtqg93Q/qDh8zZaDtTURwhHG7ZJAkK8R5BhsHxeB6qq4XYaU4bTIRGOKrzxyX9YsbGcw1VB+hR5OVgVpCTfbSWmg2HMqv3RVn8vmfL51sMsXrXTeu1Zk4dk9XeV7ng7/XfewWT7c2qJjA3Q/v37efrppznxxBMZMWIER44cYfLkydxzzz38+c9/ZtasWWlfa+LEic3uaJYtW9bE2IRCIXJymteUg7FDe+CBB7j99tu5+eabrePPPvts0vPuuecezjzzTMrKyhg2bFha4800D2jh0m3xAo4iiqob/xVUFi7dlr0cg1gE54Z38ax8AceWlQgJM1Z16Rm8l38+K70TyVfzuaiigNH5xpinjuvPgmU7DJltQpBaipfqFwWBPgVujtSEScdxZsd2uoZcr4PagI6qalZhWF3XDWMUN0KJ6ICQcEjTdI5UGSKEJOI122RJoE++m0Awhted7JYNRxSq6iL0LlJxO0SOVgcJhhQqCZOf01AzLhJTKcxxZlXWnOjqM1/7qUVfcN20YVnZeWSSD9Mpv/NOorPzgMRML+jxeBDjTWJOOukkduwwtuEjR45kz549bRxmU4YOHUp1dTVVVQ3S4LKyMoYMGZLy+bqu8/DDD/PQQw/x2GOPJRmfyspKfv/731NTU2MdM/OU3O6Ok4tW1IZxyslvcbZyJKT9W/G9fDfFdwwn//GbcG7+AEHXUQv6ELz8Z3z64w+4o8+vWSSewZEg7Cqv4/l3trKpzEgsHT24hOumDaN3ocfa9TgkAR0BURSYceZArpoyBLdTSiom2Ry28ckOZqO/dAoaeVwSoiiQ65EbdjSAmpCblQrzoVyvHH9N40UdshhvwSEgCgK9Cj0U5rq5asoQSvLdTVyxZq6RyyEhCAIuh0SO12jjHYmp6LpOJKYSDMXwh2Lc9fSnzHtlg/UdbA+Jrj7ztSVJ5L21e9t97UzpyN/58U7GO6Bx48bx3HPPcc8993DKKafw5ptvMmfOHL788kt8vux1tCwtLWXcuHHMmzeP++67j/Lycl588UVuu+22lM9/4oknePvtt3nttdc4+eTkJmf5+fm8//77BAIBfvWrXxEKhXjggQc488wzGTiwa0rAZ4LpX/ZXVnF+4FOmVy9Pkk/rokR07HTCk24kOu5CkGRe+usaqw+LIcU1SuAvWrnTWiGaweOW/NdmKZX9FalrYwkYbZk7QrDQE1E14/MSBKMpXCo7Igjw43ihTPNz61fkIRzTqKoLW91NW0KWBCRRRBIF+hZ7LZdZrT9CrT9KRFOp80eZOXkwAP5QjCNVQWRJJM9nVMdWVI3iRt/l3Lirzqx07XaIIAgomp5VUUJ3SoA9HnKhuoqMDdBPf/pTvv/97zNw4ECuueYannnmGSZOnEggEGg2ntNWHn/8cebOncuUKVNwOBzMnj2bq6++GoDy8nJmzJjB/PnzGT16NPPnz0dV1SYuwAceeIDLL7+c+fPn8/DDD3Peeeeh6zqTJ0/m4Ycfzup4G5ONHIlNO4+yZvGbXHH4fSYc/RCX2vADU/ucTHjSDYTPuw6tsF/SeUbtrXgfFgxDoaHHO1Mm01winmmYwjGNAb181AWi5OU4EQWB+mCM2kCEPK+TPJ+TqKIRDMUIhJUmbh+bzBAEcDlEvG6HNaGaRklH5/KzSpMWEYks+WRXky6njd2jDklA06EuGKUwx0VU0XA5JEIRBX8oZjQWlETycpy8+WFZPDZkxARVXW+1OnZipet5r2xA0cm6KKE7Tfp2LlTbydgAjRgxguXLl1vxmNdee42lS5dSVFTExRdfnNXB9e7dmyeeeCLlY/3792fjxo3W35s2bWrxWoMHD+avf/1rVsfXGu1pr2vKp09981mm+ndbx6Oikw0l57Bx0GVcdft3G3pmNyFefTjBl2PECNIzDo3ltFHF6MEtSSKBYIw+hR6r0nLiSlcSBdsAtRsBEJj3w7NY8skuqzeTyyFZvZlSsamsgtVbDjU5nmR8ZBFd13HIIh6XjMclE4mpRDB2P+Z3Js/nQNN0q46cUxbjeVw6eTmuFqtjJ068HbVT6U6Tfk9ro51N0jJAb731VouP5+XloSgKb7/9dsocnZ5MRmU+4vJp96qXcH3+NoIawwzf7csdwmcnXMz6vlMJyjkEwwpXNWt8MBRJlQE0XUjIhjeqEadDYzmtpumEIwrlRxX6FLipqA3zzmd7MDPoAWOi0XVbtt1eBJAkY+XQXG+mVCxauTNeHDY1ogD9Sxo+f13XCYYVrp8+jPfW7uVIVRCHLJHnc+B1OzjcqCWBGO9oGgzHqKgV0pp4O2qn0t0m/e5SzudYk4OnZYB+8YtfpHUxQRBsA9QGxIp9uD98GfeHLyNVNsinNW8+a3pNYUXJNA4XjbCOR2Nqqz/gqyYP5vl3txGOKKiahiSKuN1Oror79FsjceUaiihU1YXjOSE65ZVBNN10C+lWfEgWQWjBKNqkh6rqRKIq9z23lnBUbXEiMSecAxUB6oMxJLFp+21oaKUdiijxKtcaoiDQu9BjTZ6NK1srqtbEfScKxnHz+9faxNuRO5XuMul3F47FJOC0DNC2bds6ehw9D1M+vepFHHEFm0l05DmEJ99IZMLlhPYH+c+yHUiNika29gMePbiE710yos2rocSVq5GgKCAIhlvP9LBpOkmzk6JBWhHwHkw6BVkFjEn+YGWAojx3sxNJ4oQTjef6mIYn0XB4XUZb9Q82llNXG8L4LBvyhMwq142NhSgIqOiIYkMbdmPhIaZtQLrbTuV45lhMAm5TKR6btiPt3xavPv1/iPWV1nG1oA+Rc2cTnnQ9ar+h1vHRg408grb8gNuzQkycjGKKGg+AG7vcVrMjbVIiACUFHiprQ8bkrutN7LVDEkAwEkDBEHv0KfKmnEgSJ5xoYq0dknctcy4/hdGDS/h825H4jlhHkkTyvA5Lupz4XTG/a70LPfhDRhWNUEQlpmpIosCMM2wD0h3pTsrAdLENUGcQ9uNe8wbuVS/g+HqddThJPj12OshN+yxB17gaEiejypoQghDP8g7FCEXUVs62SYWZtyMKIj6PbPTtCcZQFM1I+hShf68c9h/xx92bxk4IUk8kByoCRGMaSrwCQipcDtH6LMMxLUlyDTTbnhuMNgznnTaADVsPt3n3ciy6hY5VupMyMF1sA9TBSHv/TcFvL0YM1FjH1D4nE5p0I5HzZjeRT3clqQKYd80+LWkSyfc5iURDdl+fNhCMqKhaGEmCQEghx2u0TogqGpW1YXI8xgJElkWrsoEcz0xtPJFsKqsgHFHRdKPlQuKSQIhn5eu6ljQZtTZBpTIWH6zfxzVTh7TZWGTDLXSsBda7iu6kDEwX2wB1MFLVAcRADbrDReT0KwhPupHYyHNakE93DemsVN9bu5dqf5T+xV4OV4eJNY5027RKNKZRUuAmpmj4QzFU1cibOWNkb1ZvOUQkppLrkamujwIauV43kZjaZCJZtHInOkb16safgiAIyJKAx+WiT2FDPcXWJqhUxkLVtHbFENrrFrJ3UOlzLMbbbAPUwUTHTqfq9+vQCvug+wrZVFbBor+tj0tcDQnzVVMyW2F2xIqwtZWq+T+zVtSmsgqef3cb9cFosyEh09Fjb5Ya0IGa+gj9e+XgdskU+JxW0mZpv7ykygYIAuGoSoHPmfQZbyqroLwyiCgKTRRvggADevlSrn5bm6BSGQuXQ0ppLNL9Dja363I7xJStHRpzLAbWu5JjTRmYlTygRC677LI2D+Z4RR1gSKjNSTsQalCVHawK8fw7W/nejJFpfXGysSJMNXlkulIdPbiEPI9MOKI0m/ejAz63TCii2C67BMxGfo3f33Qmj01lFTy75CujZbaqI0kCTtmoWm6qEvcf8eN2Gsq3xtdr/BqbyiosQxAMKyiq1qSQaOMYQibfwVS7rmAoZpTn0Wn1/GMxsG6TPlnPA7INUPO8t3Yv4YiCIIhWgU8NowFcuiu69q4Im5s83A7RKsli0loA0wxqH6wMpqwFJ0vGCt62PcmY70emAWLzswvHVGvno6g6smQkCms6FOQ0lEZaveUQpf3ymv1eNP4uqJpObSACYF0DnSYxhEy+g6l2XbJo1IZL5/xjMbBukz52HlAnUlEbtpJCTYzqxc0rkVJdI9WKsLwi0CaXhqbp1PqjqJpR68vnlq3Jp7kAprmDqvVHqQtEmy9EGpcSm5JjGwOHLKaM67TGe2v3ElM0q0ePiRrfUcmSYO1e0lmYNP4u5PmcAESiKsGwQkm+m29PH9GkpUBbdsuJY7jr6U/TPv9YDKzbpE+bYkBVVVX85z//QYsnMei6TjQazWpL7uORknw3dYGoVUUAsBqIpbuiS7UirA/GCEVVagLRjFwaZoUDc/Wsajo1/ig1/qiVvNj4/M+3Hm5QxOU44sHyZMymZ4IgxhMibeOTiNspNYnrpMOBigDBiNKkOoH5b48rubFia66qVIYk1+tAEo06dJC6P0x7dyWZnH8sBtZt0qfNLbmj0aiRnBhf2QqCkHFL7p7GRRMHWjEgVReszpRul5T2ii7VitAfjOHzyBm7NOoC0aTKBolEFJUPNpZT2i8PaJgAQlEVhyTgdTusXixHa4xJTkjoJaPGAxJ9Cj2UV6Zu5dBTMD9nQYATir3MvfmMpMcTC46asZtU9d9UVYe4NDumJOf+SCIEwypuZwyv25Bzt2YU2mpI2rsryfT8Yy2wbpM+GWuBzZbcy5YtIy8vj8WLFzN//nz69euXcUvunoZZHqdfsc9INESgX5EnbQGCeY3rpg2jwOckGFYo8DlxuyTLfWLSkktDVTUiMZWYojZbuVpTdQKhKC8v3cGCZTus3VU4olAfihEMGxnyXrfDyN7HyD0RBSGh8KmX8SN6H/cCBIcstthAziEZfXcE4KopyQ0Vl3yyiyWf7iYSU5FEgUhMZcmnu1nyya4m15ElY++jNapyLooCxfkewHCnmo3gWjMKid+FdM+B1N/BTDqRtvd8m+OHLm3J3RPJxmqu8TUaF5GE9FwalTUho9ZXivpk8X0tlbVh+hR7rWs742Vf6oINK22fx0F9MGYkRCYUPh0/vBf/Xxd0qOwopLjfdEDvHA5XGcILWRbpW+Slpj5MbcAwyo1dZKZKUE6x3Fu6fj8CgnVtSTDEBUvX70/aBW0qq0BRDeMj6A0dTyVRsForFOW5qamPWPGbxq6qVOrH66YN6/QyT9k43yb7bCqrYMWiTRw86u80V2fGBihVS+7JkydnvSW3Tfq01aWxqayCJ9/YgqbpTeq7CfFSMHr8miYFuS6OVAWsYHhU0XDIIpeddZLVG6gk382IgQV8sLGcSOz4SFY1qtfo8QoDOh6XTFSJ4HFKxt9uB1FFQ9P0Zu9Z0+GZN7dQnO+xqlyHogpy3PhoupFYqusQjChWkVBTrWb2eEr8pAShQTwgSSKDT8i38ooSaU79eN20YSmfb9OzML8fLqfUqQm/GbvgzJbckUiEU045hZUrVwJkvSW3Tfq01aUxenAJM84YaHVNTUSMxy2s3I1wjENVQY5WB41Me1FIeq3LzxnEXbNPY94Pz+Ku2aexbW8Ngbib7nhA142dSVTROFgRwOeWmTiiN9GYxv4jfur8US6ccCJP/2wyz//yfAb08lleMkEw3GeCAKGoxpHqkPUjJy7+0HQdRdWtdYAgwIJlO6xdS0zRiCgaUqNfrMsh4XZKLbrPzNyhyroI1fURQhGjuZ1ZiNTGxlREup0ygiB02vejW7fktkmftro0Lj9nEKX98li0qoz9RwPGzgcjnuN2Spx/2gl8sOEAgbCCaad0XcftdnD99OaNXEVt2JIHH09IkoDP46AuGOPfu6vJy3FSIrub5N2EoyqiSJLkPhp/PzRdt37kTodIJKahNXqvcj0NlaorasOEIioCIIoiUrw9gqIaDeWisSB9Ct1ck2LRYa5sIzEFSRBQVY2qeiPXx+OS7YTOY5xsVUXpqoTfbt2S26ZzSHTJpfoyf779KOGoUfjSIUvkeh2IotBijklJvvu4nNx0TScUVdHjQbPCPCPO1lh5mEpyb2IWGA2GYygpFBoep0hhntuqVF2S76aqPoJkJi/HjQ/EBQgFbiLN5GKZK1uHLKGoZrxPpy4YQ5JEO6HzGCabdfJMRaSzkxN+25QH5PF48HiMIoe9evXiuuuuy+qgbLqG5nZR4ahqlfF3yKIV/2kp+fWiiQPZtremk++g49F1UOKxHh2j7I0sG711EncUqST3YOwuzZhNXTAGupEXBGaJHh0t7rwzJ4CLJg6krNyI1UlCQ+KpJBqVs1uS3Zsr2zyf08j50g01XsxO6DzmyWadPDOOHI4qiILQaQm/adeCu/DCC3E6na3WhbNL8Rx/JOaLBEIxquojxGJGiZ1DVUHyfM4mq6/Rg0vwOEVC0eNDhGBiNOVrEAKIApZbK1fR6FtkVA0wJfeLVpVZhWeLcx3ENGPXous6MUVDQLcMktn2XFG0pJiOGat757O9qJoWT142BpLnNZSIzblLzM/OVMmZlSvcDtmWPh/jZNNtZn4PVmws734quF/84hecddZZFBcXt1gXzq4Fd2yQqd/YXB3VRpR4C4GG2gY1/iiaplOY526y+jqpbx7b99a0WAdBlgRrxXWskOg1U+IFQdEhEFaaVJ9OFZN5b+1eyisCoIMG1AWi5Pmcloxa12lSKcGM1b23di9lB2qtBoGtJZ0mKiTdTglRdKGqmm18jgOyXSdv9OASpp5xcpPKFx1JxrXgWqoLp+vZDTpXVFRw7733sn79etxuN9deey133HFHs8+fOXMmu3btQpIaPpBFixYxePBgAoEADzzwAKtWrQLg0ksv5e6778bhSN2F9HilLX5j8/izS75KMj4mdcEYwYiCrkNlTdiSD180cSB7DtW1uAtSUwVJujmaZsRSRFFAVfV4QVABj1NKS3kIhsJNFAXqQzFiikZlbYg8n4v8nOYVjImxOvMzNKXwzblL7FI2xy/HQ528jGNAU6dO5R//+AcFBQVJx48cOcIVV1zBZ599lq2xceeddzJgwABWr17Nvn37mDNnDqWlpVx66aVNnhuNRtm5cydLlixh0KCmZUwefPBBKisrWbFiBX6/nx/+8Ic8//zzPa56Q1v9xqMHl+B1y/EAuGblq5ioqlHM1JQPm+fcesUoXnpvG5XxmnGCYCi8wDBcum64k9xOGX9I6ZibziJivNmb0YlUQJQFS2jQvyS9NATzM/C6HVZb7piiEYmq3HT5KWkbsXSNSlcnfdodTTuG42FxkZYB+vDDD9m8eTMABw4c4Nlnn8XrTa6Qu3v3blRVTXV6m9izZw/r1q3j0Ucfxe12M3ToUG666SYWLFiQ0gBt3boVl8vFySef3OSxcDjM22+/zYIFC8jNzSU3N5fbb7+dBx98sMcZoPb4jUvy3VTXRxDjNd+UBOmwGRspyHUlKeRGDy7hkdvP4b7n1nKkOoQWX7Hn+ZyIokA0puF1y7idEsFwQ98gs6BppmV8JNEob3SgIpj1EqiCAC6HIcOu9kcNOXX8MUXV0155Jn4GXrcDr9uBrhuS6kzK2bT03O4y6dsdTTuWrl5ctJe0DNCAAQP4n//5H8vF9v777ye5uQRBwOfzce+992b04pFIhKNHj6Z87Ouvv6agoICSkoY3d9CgQWzfvj3l87ds2YLX6+XGG29kx44dnHDCCdxxxx2cf/757N69m1gsxpAhQ5KudfjwYWpqaprs5o5n2uM3vmjiQHaVb0HVdCSrG2dcDixAUZ4bj0u25MMmm8oqqAsYLR8EAcvl5PM4mRNf8c97ZQMIAg7R+D6Z48qUghwnV00ZwpOLt8R3KYZxNI2lALicElFFRcvg8i6nxMWnn8i2vTXUBKIU5bqoC8ZQFA1JFOhb7El7IujoHjfdadK3O5ratERaBmjw4MG8//77ANxwww088cQT5Ofnt/vFv/jii2aTV+fNm2dJvU08Hg/hcOqVuq7rfOMb3+DnP/85AwYMYNmyZfz4xz/mpZdeQlEU6/zEawHNXi8VxcU5SX/36pWb9rndhW9PH8EzizehakbzuUhMBd043tr9TO2Vy5G6CK+v+BpV040inKpRl6x3oQdf3LUWjir065VDr165fL71MPPf3ko4oiCJgtWaQRJFCvNcTD3D2LFW+aM4ZRFV1S0DlCkFOU5kWWLqGSdzpC7CooRxul0CobBKQa6Lghwnuw/WIwq6FccBY4djFvbsXeTlG4OL2VxWyeGqIH2KvIwZ0ZcxI/ryzOJNuJwSA3xOIjEVRdH5/szRaX8f2vMZpMOKRcb43E7j5+10SISjCis2llvvdya0Z0xV/ii5HjnpM5UlgWp/tNv/frr7+DqKzrxvQW+DcqAz+gEtW7aMX//616xZs8Y69tFHH/Hzn/+cdevWpXWNW2+9lUGDBnHZZZdx5ZVXsnHjRst1WFZWxiWXXMK//vUvcnJyWrmSQWWl36ibRuo+KccK7XHP9OqVy4o1/7HOdzslKuuMqgdWIVKXzPcuMdqQL1i2g6q6MKIgEO8YTVGuC49LJhhWuH76MEvZlbhTyQSXU8Ili0b3VV1n8An5ljss8T5HDCyw6tUFwwpOh9ik/XSBz8lds09L2kU4ZRFN14lEVa6bNqzJddvi3krnM2jr52Q2fEuc9E0Xn9nnJ13a+z1PVSg38X3urhzLv+/2kO37FkWhycI9kYxFCG+++Sa//vWvk/oBmV/0bPYDGjp0KNXV1VRVVVFUVAQYRiPRjZbIggULGDBgAJMmTbKORSIRXC4XpaWlOBwOdu3axahRo6xr9e3bN23jczyRzUrGm8oqeP6drfH4n1Wrh90H64weN/HVvarryJKYlIXvdojWJF+Q62pT/oIoCuR65HhjPN2QMrdQaPPy+H9NA1MXiBoVCVQNURA5Y2RvoKnryO0wKgm8t3Yvd80+LesVzRvTHjdad2pjfTwotWw6joyLkT799NNN+gE9++yzWe8HVFpayrhx45g3bx7BYJCdO3fy4osvcuWVV6Z8/pEjR5g7dy67d+9GURT+8Y9/sHHjRq688kq8Xi8XXnghjz76KDU1NRw6dIinnnqq2WvZpM97a/fi9TjoV+JjQO8c+pX4EEWBdz7bG68/1iAmUFQtKQsfQbAmea/bYZWoAWNX40xjeeR2SNT6Y0hx15nZKK+1QoqjB5dw9qi++EMxYqqOLEn4PDKrtxxiU1kFFbXhpCrg0Dm1sUwSDWCmxSHb2uenI7B7/9i0RLfuB/T4448zd+5cpkyZgsPhYPbs2Vx99dUAlJeXM2PGDObPn8/48eO54447UBSFG2+8kbq6OgYPHsyzzz7LSSedBMADDzzAQw89xCWXXIKqqlx22WUt5hTZpEcqVV0ooqLpmlV/zOh1o8W7r+pWFv7LS3cknavrOg7JkDX3LfKy73DLrgBJFJhz+SnWdUIRhUNVQRRFQ5ZEAqGWq3Fv21tDcb67iXvovbV7Kcl3c7g6RCiioKjGvbidEn0KPS1cMXu0R63Y3eS5x7pSy6bj6Nb9gHr37s0TTzyR8rH+/fuzceNG62+Hw8EvfvGLZis15OTk8PDDD2d1fD0JMx5R5Y9SlNOQpZ/K3RNTNRySmFR/TBQEVKAoz2WtgEvy9yada7aaluM7j5Yk2JIocNlZJ1nXOVQVpD4UMypGC8ZuS9N0Kyk2FS1N8ud8oy879tcgICAKEFVUIjGFSWP6tfm9y8QYtNeNZk/6NscCdj8gm1Yx4xE1AUPRZMYjNpVVpHT3SKKA1+2w6o+ZiZtuh5Tkfml8rsclo6NbTd7MGLosCVY/HTCSQX/0X9+wOoaOGFhArT8aF0LEu4YKkON1tOiyKsl3N5F6m5P8tr015HmdyLKIFu+LlOd1ZlxgNfG9S4zlbCqraPG87uRGs7HpKOx+QD2ItqqqUsUjzFwOM8ifeN0zRvZm9ZZDRGJqi/XHzH8vWlXGwYoAIOBzOwiGFeoCUSQBlHizVlEwDI8u6Fwe3/mY97R6yyGrD7bp5svPcZLrdbTosmopQP7cO1uJxjQU1diRFeS4cLQhBtSeyhON39djLcvdxqY17H5APYT2qKpai0ekcveYhTPTmTwjMZXiAo9RVbouDAgU5bmQZYlafwRNMypHu50y0ycMsHY+0DDBOx0SqqohCkYMKRxVcbtadlk1N8kDhCOqlciqqhpHa0LkeBxWtet0aW8sxzY4NsczbeoHVFlZyeuvv8727dsRRZFTTjmFadOmZXtsNmmSzs6mPRnpbYlHpDt5Jo7rcH0EQRABnfqQQp5XsNxqbqeMJAls21tDaUJcx+p343VQVR+xyuOk2+8m1TjnvbKBHK+D+mAUPR4DUnW9SbXrdOhOkmgbm+5GxjGgzz//nBkzZvDOO+/gdruRZZnFixczY8aMFitl23QM6cYY2iMr7sh4ROK4jFwcw5sWjapU1UdQNaPwaSSmEoyr3BLvz4zjeN0OinJdSJKIqoOrHf1uKmrD5HodSfErhySmVe26MXYsx8ameTLeAT388MNcccUV/OY3v7HUcKqq8utf/5qHHnqIl156KeuDtGmedHc27VmJJ7qqqv1RCnOcWYtHJI5LlsSGSghxQ6Rqxn8l0TAEoaiK2yVb95cYx/G4ZMMAtbPfTWITN4/L+ImomkaOO/PWHXYsx8ameTI2QDt37uQPf/iDZXwAJEni5ptvzmoOkE16pBtjaG9Guumqam+pjsbuwhEDCwzBApDrdVgxIAFDUKBjqODAMESKojWJP0F2J/hU7xU6bd612LEcG5vUZGyAhgwZwr/+9a8mbQ927NhBaWlptsZlkybp7my6YiXenLGRJCPOs6u8jh37agxXV1zx1q/YB7rO4eqwVRzUrFaoA3LcICTeX7Yn+FTv1benj+CkkswECDY2Ni2TsQH61re+xe9+9zt27drFhAkTkGWZf//73zz//PN861vf4q233rKea7fn7ngy2dl05ko8lerunc/24vMYX7lqfzTe80egLhBFyHFy/fQGt5l5vqLq1AUiqLrhk/M4pU6JoTR+r3pqcUobm44k42rYI0aMSO/CgsDWrVvbNKjuSnetht2ZzcfSve9UVZD3H6lHliSIS5vFeGappuuUFHiaVEg276u8ImCU9JEETijxdUkMpTt93p2Jfd89i25fDdtWunU/umOMIVVsSpZEYvGCpGK8qoGmG8dTxa1S3ZdplF5eusMO6NvYHOO0KQ/IRFEUtm/fTklJCX369MnWmGyOEVraeaWKTXndDvzxem2arsdjOzp5Pldairzu1OnTxsam/aSdB/TPf/6TWbNmUV5eDhhquOnTp3PVVVcxZcoU7rnnnnhPGJueQGv5RyMGFlBZE2b/kXoOVQaoC0SRJYEZZwykd4EbTTOqDBTmuuJdSVuP67SnRYGNjU33Iy0D9O6773L33XczbNgwq5X1XXfdhd/v569//SuvvvoqX375JS+88EKHDtam+9CSMTDrs/k8MrIkEVN1auojVNdHWLJ6N1X1USaO7M2g/nnoOmn3iOnqHj02NjbZJS0X3EsvvcRPfvITq+Hctm3b+Oqrr7jttts4++yzAfjxj3/Mn/70J773ve913Ghtug0t5R+ZxsnrdpCfAzX1YWoDMRTV6PcTiams3XaEy88qTarr1hp2WRsbm+OLtHZA27dv54ILLrD+/vTTTxEEgSlTpljHhg8fzt69tiukp9BSK4PGO5X6YENjOEEQkEQBAYGl6/e3+jqbyiqY98oG7nr6U/zBKMGwYpe1sbE5TkjLAOm6jtPptP5ev349ubm5jBo1yjoWDodxuVzZH6FNt6SlGmeNjZPZWM7s5wOGCi4cVVp8jcZxJkUHdB1ZFOz2zjY2xwFpueDM6gcnnngifr+fNWvWMHnyZISEGWXp0qUMHTq0wwZq071orbLCgmU7qI0ohCINwpTE74umg9vZ8tcvVZ07gByPg7nfn5jV+7Gxsel80jJA1113Hb/97W/Zvn07GzduJBwOc9NNNwFGa4a33nqLZ599lrlz53boYG26F83lH40eXMLug3W889leNN2ocK3poGk6KjogoKMzfcKAFq/fnl46NjY23Z+0DNDMmTOJRCIsXLgQSZJ49NFHGTt2LABPPPEEr7/+OjfffDMzZ87swKHaHEts21tDcYHb2rXU1IepC8ZQNfC6pCaN5VLRmuigMytA2NjYZJ+MS/E05tChQ7hcLgoLC7M1pm5Ldy3F05mke993Pf0pXrec5HbTdZ1gWGHeD89K67USE08T69xdN20YQLOPdYQRsj/vnoV939kh66V4GtO3b9/2XsLmOCQbkumW4kzzXtnQah+kTHZI9m7KxqbzabcBsrFJRXv7D5k0F2dqLT6USdkeu8SPjU3X0K0NUEVFBffeey/r16/H7XZz7bXXcscdd6R87owZM6wyQSbBYJCf/vSn3HrrrWzbto2ZM2dalRwATjnlFBYsWNCh99BT6ej+Q63tsNLtFJvpc21sbLJHtzZAd955JwMGDGD16tXs27ePOXPmUFpayqWXXtrkue+8807S34899hirVq3i+uuvB2Dz5s2MGTOGhQsXdsrYbTq2SndrO6xMFHS22s7GpmtIuxhpZ7Nnzx7WrVvHz372M9xuN0OHDuWmm25Ka8eyZs0aXnjhBf70pz/h8/kA2LJlS1LirM2xzejBJVw3bRgFPmfKpNSWKjU0JpPn2tjYZI8u3QFFIhGOHj2a8rGvv/6agoICSkoaVtCDBg1i+/btLV5TVVXuv/9+br/9dk466STr+JYtW/B4PFx44YXU19czYcIE7r77bltEcQzT0g4rkxhUtuJVNjY2mdGlBuiLL77gxhtvTPnYvHnzkuI1AB6Ph3C4ZbfIW2+9RSgU4oYbbkg6XlxczJgxY7jhhhtQVZXf/va3zJkzhzfeeANJkpq5WjKN5YS9euWmdd7xxrFw31N75ZKf72Xxqp0cqQrSu8jLrMlDGD+yad+qdJ97LNx3R2Dfd8+iM++73XlAHcWyZcv49a9/zZo1a6xjH330ET//+c9Zt25ds+fNnj2bs846q1mxgklVVRVnnnkmb731FsOGDUtrTHYekH3fPQ37vnsWnZ0H1G1jQEOHDqW6upqqqirrWFlZGUOGDGn2nIqKCjZs2MAVV1yRdLyyspLf//731NTUWMei0SgAbrft57exsbHpCrqtASotLWXcuHHMmzePYDDIzp07efHFF7nyyiubPeeLL76gd+/enHjiiUnH8/Pzef/99/nf//1fwuEw1dXVPPDAA5x55pkMHGj7+W1sbGy6gm5rgAAef/xx/H4/U6ZM4Tvf+Q5XX301V199NQDl5eWMGzeOzz//3Hr+/v376dOnqY9flmXmz59PeXk55513HtOnTycnJ4fHHnuss27FxsbGxqYR3TYG1B2xY0D2ffc07PvuWRxzteB6EqIotPh3T8G+756Ffd89i2zed2vXsndANjY2NjZdQreOAdnY2NjYHL/YBsjGxsbGpkuwDZCNjY2NTZdgGyAbGxsbmy7BNkA2NjY2Nl2CbYBsbGxsbLoE2wDZ2NjY2HQJtgGysbGxsekSbANkY2NjY9Ml2AaoHWzatInrr7+e8ePHc+655/Lb3/6WUCjU1cPqNHbv3s3pp5/O/v37u3ooHUZFRQU/+MEP+OY3v8nZZ5/NE0880dVD6lR6wmecSE/9TS9fvpzLL7+ccePGMXnyZB5//HE0TWv9xHZiG6A2Ul9fzy233MIFF1zAmjVreP3119m4cSN/+MMfunponcLKlSuZPXs2tbW1XT2UDuXOO++ksLCQ1atX8/e//51//OMfvP322109rE6hp3zGJj31N71nzx5+8pOf8NOf/pSNGzfywgsv8Nprr/HGG290+GvbBqiNHDhwgPHjx/Od73wHWZbp27cvV1xxBevXr+/qoXU4Tz/9NH/4wx+48847u3ooHcqePXtYt24dP/vZz3C73QwdOpSbbrqJBQsWdPXQOpye8hkn0lN/0yeddBJr1qxh8uTJ6LpOVVUVsViMoqKiDn9tuxp2C0QiEY4ePZrysZNPPpknn3zS+lvXdZYtW8aoUaM6a3gdRkv33atXL2bNmsUPfvADDhw40Mkj61y+/vprCgoKKCkpsY4NGjSI7du3d+GoOoee8hknMmLEiOP2N90aOTk5KIrC2LFjicViXHjhhZx77rkd/rq2AWqBL774ghtvvDHlYy+++CITJ04EQFEUfvOb37Bv377jYrue7n0f7wQCATweT9Ixj8dDOBzuohF1HqkaO/YkjrffdDpIksSGDRsoLy/nRz/6EXPnzmXu3Lkd+pq2AWqBiRMntrrarays5Kc//SlVVVUsWLDguPjhpnPfPQGv19vE2IRCIXJymm+wZXPsczz+ptNBEAScTielpaXcdttt3HvvvR1ugOwYUDvYvn07s2bNIj8/n1dffZUTTjihq4dkk0WGDh1KdXU1VVVV1rGysjKGDBnShaOy6Uh64m/6gw8+4L/+67+SjkUiEfLz8zv8tW0D1EYqKir43ve+x0UXXcTjjz+Oz+fr6iHZZJnS0lLGjRvHvHnzCAaD7Ny5kxdffJErr7yyq4dm0wH01N/0mDFj2L9/P/Pnz0dVVXbu3MnTTz/NNddc0+Gvbbvg2sirr75KRUUFCxcu5LXXXrOO9+/fn3feeacLR2aTTR5//HHmzp3LlClTcDgczJ49m6uvvrqrh2XTAfTU33RxcTHz58/n4Ycf5i9/+QvFxcVce+213HTTTR3+2nZLbhsbGxubLsF2wdnY2NjYdAm2AbKxsbGx6RJsA2RjY2Nj0yXYBsjGxsbGpkuwDZCNjY2NTZdgGyAbGxsbmy7BNkA2NjY2Nl2CbYBsbGxsbLoE2wDZ2KTg/PPPZ/jw4Un/GzNmDBdffDF///vfs/Y6w4cP580332z28UOHDjF8+HDWrl3baa/ZGtFolCuuuIJdu3alfc61117Lpk2b2vyaNscndikeG5tmuOWWW5LKkdTU1PDqq6/y8MMP07t3by655JJ2v8Ynn3xCXl5eu6/TmTz99NOcdtppDBo0KO1zfv7zn3P33Xfzxhtv4HQ6O3B0NscS9g7IxqYZvF4vvXr1sv43dOhQfv3rXzNw4EDefffdrLxGr169cLlcWblWZ1BTU8Pf//53vvvd71rH9u/fz/Dhw/niiy+SnnvPPfdYBvyb3/wmPp+PJUuWdOZwbbo5tgGysckQh8OBLBvOg9raWu6++24mTpzI6aefzi233NLENbV48WIuvvhiRo0axZQpU3j88cfRNA1o6g47cOAAc+bMYdy4cUydOpWPP/446Vqp3GeJx7Zt28Ytt9zC+PHjGTVqFBdeeCH//Oc/m72XlsaWioULF3LyySczcOBA69j27dsRBKFJm4rt27czbNgw6++LLrqIv/3tb81e26bnYRsgG5s0CYVC/PWvf6WsrIzLLrsMXdeZM2cOR44c4a9//SuvvPIK/fv3Z/bs2VRXVwOGQbjvvvu48847Wbp0Kb/61a947rnnUu4EYrEYN998M6FQiP/7v//joYce4tlnn017fMFgkO9973v07t2b1157jTfffJMJEyZw7733UlFR0eT5mYzN5IMPPmDSpElNrnPCCSckNerTNI2dO3cmGaBJkyaxc+dO9u3bl/Y92Rzf2DEgG5tmeOqpp5g/fz4Auq4TiUQYPnw4//u//8vUqVP59NNP2bx5M+vWrbMm3wceeIA1a9bw2muvceutt7Jv3z4EQaB///7W//72t7/Rt2/fJq/36aef8p///IfnnnuO/v37A3DvvfcyZ86ctMYbCoX4zne+ww033GC1Er/11lt5/fXX2b17NyUlJUnPz2RsYBiVLVu2NCnT33inA7B7925CoRDDhw+3jpWWluJwOPjiiy848cQT07onm+Mb2wDZ2DTDddddx+zZs1FVlRUrVvDUU08xa9YsZsyYAcBXX32Fqqqce+65SedFIhHKysoAOPfccxkzZgz/9V//xUknncQ555zDJZdcYhmYRL7++msKCwuTHhszZkza4y0uLmb27Nn885//ZOv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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "moran = Moran(m7.u, w_knn)\n", "print(moran.I, moran.p_sim) # smaller Moran's I (compared to m2 - .14, but larger than m4 - .4) \n", "lag_residual = weights.spatial_lag.lag_spatial(w_knn, m7.u)\n", "ax = sns.regplot(\n", " x=m7.u.flatten(),\n", " y=lag_residual.flatten(),\n", " line_kws=dict(color=\"orangered\"),\n", " ci=None,\n", ")\n", "ax.set_xlabel(\"Residuals ($u$)\")\n", "ax.set_ylabel(\"Spatial lag of residuals ($Wu$)\");" ] }, { "cell_type": "markdown", "id": "b291ea9a", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Spatial Lag \n", "\n", "> Spatial lag of the **dependent varialbe**\n", "\n", "$$\n", "\\log{P_i} = \\alpha + \\rho \\log{P_{lag-i}} + \\sum_k \\beta_k X_{ki} + \\epsilon_i\n", "$$" ] }, { "cell_type": "code", "execution_count": 44, "id": "63d2349c", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [], "source": [ "# Fit spatial lag model with `spreg`\n", "# (GMM estimation)\n", "m8 = spreg.GM_Lag(\n", " # Dependent variable\n", " db[[\"log_price\"]].values,\n", " # Independent variables\n", " db[variable_names].values,\n", " # Spatial weights matrix\n", " w=w_knn,\n", " # Dependent variable name\n", " name_y=\"log_price\",\n", " # Independent variables names\n", " name_x=variable_names,\n", ")" ] }, { "cell_type": "code", "execution_count": 45, "id": "cbfede78", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/html": [ "
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Coeff.Std. ErrorP-Value
CONSTANT2.84530.07160.0000
accommodates0.06990.00480.0000
bathrooms0.16410.01040.0000
bedrooms0.16020.01050.0000
beds-0.03690.00650.0000
rt_Private_room-0.50120.01510.0000
rt_Shared_room-1.11870.03660.0000
pg_Condominium0.11190.02090.0000
pg_House-0.00140.01370.9175
pg_Other0.11920.02150.0000
pg_Townhouse-0.02200.03230.4959
W_log_price0.32130.01460.0000
\n", "
" ], "text/plain": [ " Coeff. Std. Error P-Value\n", "CONSTANT 2.8453 0.0716 0.0000\n", "accommodates 0.0699 0.0048 0.0000\n", "bathrooms 0.1641 0.0104 0.0000\n", "bedrooms 0.1602 0.0105 0.0000\n", "beds -0.0369 0.0065 0.0000\n", "rt_Private_room -0.5012 0.0151 0.0000\n", "rt_Shared_room -1.1187 0.0366 0.0000\n", "pg_Condominium 0.1119 0.0209 0.0000\n", "pg_House -0.0014 0.0137 0.9175\n", "pg_Other 0.1192 0.0215 0.0000\n", "pg_Townhouse -0.0220 0.0323 0.4959\n", "W_log_price 0.3213 0.0146 0.0000" ] }, "execution_count": 45, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Build full table of regression coefficients\n", "pd.DataFrame(\n", " {\n", " # Pull out regression coefficients and\n", " # flatten as they are returned as Nx1 array\n", " \"Coeff.\": m8.betas.flatten(),\n", " # Pull out and flatten standard errors\n", " \"Std. Error\": m8.std_err.flatten(),\n", " # Pull out P-values from t-stat object\n", " \"P-Value\": [i[1] for i in m8.z_stat],\n", " },\n", " index=m8.name_z\n", " # Round to four decimals\n", ").round(4)" ] }, { "cell_type": "code", "execution_count": 46, "id": "720b3c89", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.02906512266191519 0.001\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "moran = Moran(m8.u, w_knn)\n", "print(moran.I, moran.p_sim) # smaller Moran's I (compared to m2 - .14, but larger than m4 - .4) \n", "lag_residual = weights.spatial_lag.lag_spatial(w_knn, m8.u)\n", "ax = sns.regplot(\n", " x=m8.u.flatten(),\n", " y=lag_residual.flatten(),\n", " line_kws=dict(color=\"orangered\"),\n", " ci=None,\n", ")\n", "ax.set_xlabel(\"Residuals ($u$)\")\n", "ax.set_ylabel(\"Spatial lag of residuals ($Wu$)\");" ] }, { "cell_type": "code", "execution_count": 47, "id": "1fbaa2a3", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/html": [ "
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modelsrsq
0spatial fixed effects0.711801
1spatial regimes0.685342
2SLX model0.678604
3Spatial Error0.660000
4Spatial Lag0.705200
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" ], "text/plain": [ " models rsq\n", "0 spatial fixed effects 0.711801\n", "1 spatial regimes 0.685342\n", "2 SLX model 0.678604\n", "3 Spatial Error 0.660000\n", "4 Spatial Lag 0.705200" ] }, "execution_count": 47, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# compare models \n", "pd.DataFrame(\n", " {\n", " 'models': ['spatial fixed effects', 'spatial regimes', 'SLX model', 'Spatial Error', 'Spatial Lag'],\n", " 'rsq': [m4.r2, m5.r2, m6.r2, 0.66, 0.7052], \n", " })" ] }, { "cell_type": "markdown", "id": "27e5962e", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Sources \n", "\n", "[Geographic Data Science Book - Chapter 11](https://geographicdata.science/book/notebooks/11_regression.html#)\n", "\n", "Anselin, Luc and Sergio Rey. 2014. Modern Spatial Econometrics in Practice: A Guide to GeoDa, GeoDaSpace, and Pysal. GeoDa Press.\n", "\n" ] }, { "cell_type": "markdown", "id": "b0bde9b1", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Questions? " ] } ], "metadata": { "celltoolbar": "Slideshow", "kernelspec": { "display_name": "Python (geo_env)", "language": "python", "name": "geo_env" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.6" }, "varInspector": { "cols": { "lenName": 16, "lenType": 16, "lenVar": 40 }, "kernels_config": { "python": { "delete_cmd_postfix": "", "delete_cmd_prefix": "del ", "library": "var_list.py", "varRefreshCmd": "print(var_dic_list())" }, "r": { "delete_cmd_postfix": ") ", "delete_cmd_prefix": "rm(", "library": "var_list.r", "varRefreshCmd": "cat(var_dic_list()) " } }, "types_to_exclude": [ "module", "function", "builtin_function_or_method", "instance", "_Feature" ], "window_display": false } }, "nbformat": 4, "nbformat_minor": 5 }