{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Linear regression diagnostics"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"In real-life, relation between response and target variables are seldom linear. Here, we make use of outputs of ``statsmodels`` to visualise and identify potential problems that can occur from fitting ``linear regression`` model to non-linear relation. Primarily, the aim is to reproduce visualisations discussed in Potential Problems section (Chapter 3.3.3) of *An Introduction to Statistical Learning* (ISLR) book by James et al., Springer."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"execution": {
"iopub.execute_input": "2026-07-28T12:13:19.801927Z",
"iopub.status.busy": "2026-07-28T12:13:19.801695Z",
"iopub.status.idle": "2026-07-28T12:13:21.350681Z",
"shell.execute_reply": "2026-07-28T12:13:21.348821Z"
}
},
"outputs": [],
"source": [
"import statsmodels\n",
"import statsmodels.formula.api as smf\n",
"import pandas as pd"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Simple multiple linear regression\n",
"\n",
"Firstly, let us load the Advertising data from Chapter 2 of ISLR book and fit a linear model to it."
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"execution": {
"iopub.execute_input": "2026-07-28T12:13:21.353176Z",
"iopub.status.busy": "2026-07-28T12:13:21.352829Z",
"iopub.status.idle": "2026-07-28T12:13:21.535788Z",
"shell.execute_reply": "2026-07-28T12:13:21.534220Z"
}
},
"outputs": [
{
"data": {
"text/html": [
"
\n",
"\n",
"
\n",
" \n",
" \n",
" \n",
" TV \n",
" Radio \n",
" Newspaper \n",
" Sales \n",
" \n",
" \n",
" \n",
" \n",
" 0 \n",
" 230.1 \n",
" 37.8 \n",
" 69.2 \n",
" 22.1 \n",
" \n",
" \n",
" 1 \n",
" 44.5 \n",
" 39.3 \n",
" 45.1 \n",
" 10.4 \n",
" \n",
" \n",
" 2 \n",
" 17.2 \n",
" 45.9 \n",
" 69.3 \n",
" 9.3 \n",
" \n",
" \n",
" 3 \n",
" 151.5 \n",
" 41.3 \n",
" 58.5 \n",
" 18.5 \n",
" \n",
" \n",
" 4 \n",
" 180.8 \n",
" 10.8 \n",
" 58.4 \n",
" 12.9 \n",
" \n",
" \n",
"
\n",
"
"
],
"text/plain": [
" TV Radio Newspaper Sales\n",
"0 230.1 37.8 69.2 22.1\n",
"1 44.5 39.3 45.1 10.4\n",
"2 17.2 45.9 69.3 9.3\n",
"3 151.5 41.3 58.5 18.5\n",
"4 180.8 10.8 58.4 12.9"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Load data\n",
"data_url = \"https://raw.githubusercontent.com/nguyen-toan/ISLR/07fd968ea484b5f6febc7b392a28eb64329a4945/dataset/Advertising.csv\"\n",
"df = pd.read_csv(data_url).drop(\"Unnamed: 0\", axis=1)\n",
"df.head()"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"execution": {
"iopub.execute_input": "2026-07-28T12:13:21.538212Z",
"iopub.status.busy": "2026-07-28T12:13:21.537954Z",
"iopub.status.idle": "2026-07-28T12:13:21.583690Z",
"shell.execute_reply": "2026-07-28T12:13:21.582086Z"
}
},
"outputs": [
{
"data": {
"text/html": [
"\n",
"OLS Regression Results \n",
"\n",
" Dep. Variable: Sales R-squared: 0.897 \n",
" \n",
"\n",
" Model: OLS Adj. R-squared: 0.896 \n",
" \n",
"\n",
" Method: Least Squares F-statistic: 570.3 \n",
" \n",
"\n",
" Date: Tue, 28 Jul 2026 Prob (F-statistic): 1.58e-96 \n",
" \n",
"\n",
" Time: 12:13:21 Log-Likelihood: -386.18 \n",
" \n",
"\n",
" No. Observations: 200 AIC: 780.4 \n",
" \n",
"\n",
" Df Residuals: 196 BIC: 793.6 \n",
" \n",
"\n",
" Df Model: 3 \n",
" \n",
"\n",
" Covariance Type: nonrobust \n",
" \n",
"
\n",
"\n",
"\n",
" coef std err t P>|t| [0.025 0.975] \n",
" \n",
"\n",
" Intercept 2.9389 0.312 9.422 0.000 2.324 3.554 \n",
" \n",
"\n",
" TV 0.0458 0.001 32.809 0.000 0.043 0.049 \n",
" \n",
"\n",
" Radio 0.1885 0.009 21.893 0.000 0.172 0.206 \n",
" \n",
"\n",
" Newspaper -0.0010 0.006 -0.177 0.860 -0.013 0.011 \n",
" \n",
"
\n",
"\n",
"\n",
" Omnibus: 60.414 Durbin-Watson: 2.084 \n",
" \n",
"\n",
" Prob(Omnibus): 0.000 Jarque-Bera (JB): 151.241 \n",
" \n",
"\n",
" Skew: -1.327 Prob(JB): 1.44e-33 \n",
" \n",
"\n",
" Kurtosis: 6.332 Cond. No. 454. \n",
" \n",
"
Notes: [1] Standard Errors assume that the covariance matrix of the errors is correctly specified."
],
"text/latex": [
"\\begin{center}\n",
"\\begin{tabular}{lclc}\n",
"\\toprule\n",
"\\textbf{Dep. Variable:} & Sales & \\textbf{ R-squared: } & 0.897 \\\\\n",
"\\textbf{Model:} & OLS & \\textbf{ Adj. R-squared: } & 0.896 \\\\\n",
"\\textbf{Method:} & Least Squares & \\textbf{ F-statistic: } & 570.3 \\\\\n",
"\\textbf{Date:} & Tue, 28 Jul 2026 & \\textbf{ Prob (F-statistic):} & 1.58e-96 \\\\\n",
"\\textbf{Time:} & 12:13:21 & \\textbf{ Log-Likelihood: } & -386.18 \\\\\n",
"\\textbf{No. Observations:} & 200 & \\textbf{ AIC: } & 780.4 \\\\\n",
"\\textbf{Df Residuals:} & 196 & \\textbf{ BIC: } & 793.6 \\\\\n",
"\\textbf{Df Model:} & 3 & \\textbf{ } & \\\\\n",
"\\textbf{Covariance Type:} & nonrobust & \\textbf{ } & \\\\\n",
"\\bottomrule\n",
"\\end{tabular}\n",
"\\begin{tabular}{lcccccc}\n",
" & \\textbf{coef} & \\textbf{std err} & \\textbf{t} & \\textbf{P$> |$t$|$} & \\textbf{[0.025} & \\textbf{0.975]} \\\\\n",
"\\midrule\n",
"\\textbf{Intercept} & 2.9389 & 0.312 & 9.422 & 0.000 & 2.324 & 3.554 \\\\\n",
"\\textbf{TV} & 0.0458 & 0.001 & 32.809 & 0.000 & 0.043 & 0.049 \\\\\n",
"\\textbf{Radio} & 0.1885 & 0.009 & 21.893 & 0.000 & 0.172 & 0.206 \\\\\n",
"\\textbf{Newspaper} & -0.0010 & 0.006 & -0.177 & 0.860 & -0.013 & 0.011 \\\\\n",
"\\bottomrule\n",
"\\end{tabular}\n",
"\\begin{tabular}{lclc}\n",
"\\textbf{Omnibus:} & 60.414 & \\textbf{ Durbin-Watson: } & 2.084 \\\\\n",
"\\textbf{Prob(Omnibus):} & 0.000 & \\textbf{ Jarque-Bera (JB): } & 151.241 \\\\\n",
"\\textbf{Skew:} & -1.327 & \\textbf{ Prob(JB): } & 1.44e-33 \\\\\n",
"\\textbf{Kurtosis:} & 6.332 & \\textbf{ Cond. No. } & 454. \\\\\n",
"\\bottomrule\n",
"\\end{tabular}\n",
"%\\caption{OLS Regression Results}\n",
"\\end{center}\n",
"\n",
"Notes: \\newline\n",
" [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: Sales R-squared: 0.897\n",
"Model: OLS Adj. R-squared: 0.896\n",
"Method: Least Squares F-statistic: 570.3\n",
"Date: Tue, 28 Jul 2026 Prob (F-statistic): 1.58e-96\n",
"Time: 12:13:21 Log-Likelihood: -386.18\n",
"No. Observations: 200 AIC: 780.4\n",
"Df Residuals: 196 BIC: 793.6\n",
"Df Model: 3 \n",
"Covariance Type: nonrobust \n",
"==============================================================================\n",
" coef std err t P>|t| [0.025 0.975]\n",
"------------------------------------------------------------------------------\n",
"Intercept 2.9389 0.312 9.422 0.000 2.324 3.554\n",
"TV 0.0458 0.001 32.809 0.000 0.043 0.049\n",
"Radio 0.1885 0.009 21.893 0.000 0.172 0.206\n",
"Newspaper -0.0010 0.006 -0.177 0.860 -0.013 0.011\n",
"==============================================================================\n",
"Omnibus: 60.414 Durbin-Watson: 2.084\n",
"Prob(Omnibus): 0.000 Jarque-Bera (JB): 151.241\n",
"Skew: -1.327 Prob(JB): 1.44e-33\n",
"Kurtosis: 6.332 Cond. No. 454.\n",
"==============================================================================\n",
"\n",
"Notes:\n",
"[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n",
"\"\"\""
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Fitting linear model\n",
"res = smf.ols(formula=\"Sales ~ TV + Radio + Newspaper\", data=df).fit()\n",
"res.summary()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Diagnostic Figures/Table\n",
"\n",
"In the following first we present a base code that we will later use to generate following diagnostic plots:\n",
"\n",
" a. residual\n",
" b. qq\n",
" c. scale location\n",
" d. leverage\n",
"\n",
"and a table\n",
"\n",
" a. vif"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"execution": {
"iopub.execute_input": "2026-07-28T12:13:21.586555Z",
"iopub.status.busy": "2026-07-28T12:13:21.586261Z",
"iopub.status.idle": "2026-07-28T12:13:22.364590Z",
"shell.execute_reply": "2026-07-28T12:13:22.361411Z"
}
},
"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",
"\n",
"style_talk = \"seaborn-talk\" # refer to plt.style.available\n",
"\n",
"\n",
"class LinearRegDiagnostic:\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",
" Authors:\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",
" Matt Spinelli (m3spinelli@gmail.com, where 3 = r)\n",
" (1) Fixed incorrect annotation of the top most extreme residuals in\n",
" the Residuals vs Fitted and, especially, the Normal Q-Q plots.\n",
" (2) Changed Residuals vs Leverage plot to match closer the y-axis\n",
" range shown in the equivalent plot in the R package ggfortify.\n",
" (3) Added horizontal line at y=0 in Residuals vs Leverage plot to\n",
" match the plots in R package ggfortify and base R.\n",
" (4) Added option for placing a vertical guideline on the Residuals\n",
" vs Leverage plot using the rule of thumb of h = 2p/n to denote\n",
" high leverage (high_leverage_threshold=True).\n",
" (5) Added two more ways to compute the Cook's Distance (D) threshold:\n",
" * 'baseR': D > 1 and D > 0.5 (default)\n",
" * 'convention': D > 4/n\n",
" * 'dof': D > 4 / (n - k - 1)\n",
" (6) Fixed class name to conform to Pascal casing convention\n",
" (7) Fixed Residuals vs Leverage legend to work with loc='best'\n",
" \"\"\"\n",
"\n",
" def __init__(\n",
" self,\n",
" results: Type[statsmodels.regression.linear_model.RegressionResultsWrapper],\n",
" ) -> 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-v0_8-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 (\n",
" isinstance(\n",
" results, statsmodels.regression.linear_model.RegressionResultsWrapper\n",
" )\n",
" is False\n",
" ):\n",
" raise TypeError(\n",
" \"result must be instance of statsmodels.regression.linear_model.RegressionResultsWrapper object\"\n",
" )\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",
" self.nresids = len(self.residual_norm)\n",
"\n",
" def __call__(self, plot_context=\"seaborn-v0_8-paper\", **kwargs):\n",
" # print(plt.style.available)\n",
" # GH#9157\n",
" if plot_context not in plt.style.available:\n",
" plot_context = \"default\"\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(\n",
" ax=ax[1, 1],\n",
" high_leverage_threshold=kwargs.get(\"high_leverage_threshold\"),\n",
" cooks_threshold=kwargs.get(\"cooks_threshold\"),\n",
" )\n",
" plt.show()\n",
"\n",
" return (\n",
" self.vif_table(),\n",
" fig,\n",
" 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",
"\n",
" # annotations\n",
" residual_abs = np.abs(self.residual)\n",
" abs_resid = np.flip(np.argsort(residual_abs), 0)\n",
" abs_resid_top_3 = abs_resid[:3]\n",
" for i in abs_resid_top_3:\n",
" ax.annotate(i, xy=(self.y_predict[i], self.residual[i]), 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",
" fig = 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 i, x, y in self.__qq_top_resid(\n",
" QQ.theoretical_quantiles, abs_norm_resid_top_3\n",
" ):\n",
" ax.annotate(i, xy=(x, y), 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,\n",
" ci=False,\n",
" lowess=True,\n",
" line_kws={\"color\": \"red\", \"lw\": 1, \"alpha\": 0.8},\n",
" ax=ax,\n",
" )\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, xy=(self.y_predict[i], residual_norm_abs_sqrt[i]), color=\"C3\"\n",
" )\n",
"\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(\n",
" self, ax=None, high_leverage_threshold=False, cooks_threshold=\"baseR\"\n",
" ):\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(self.leverage, self.residual_norm, 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",
"\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(i, xy=(self.leverage[i], self.residual_norm[i]), color=\"C3\")\n",
"\n",
" factors = []\n",
" if cooks_threshold == \"baseR\" or cooks_threshold is None:\n",
" factors = [1, 0.5]\n",
" elif cooks_threshold == \"convention\":\n",
" factors = [4 / self.nresids]\n",
" elif cooks_threshold == \"dof\":\n",
" factors = [4 / (self.nresids - self.nparams)]\n",
" else:\n",
" raise ValueError(\n",
" \"threshold_method must be one of the following: 'convention', 'dof', or 'baseR' (default)\"\n",
" )\n",
" for i, factor in enumerate(factors):\n",
" label = \"Cook's distance\" if i == 0 else None\n",
" xtemp, ytemp = self.__cooks_dist_line(factor)\n",
" ax.plot(xtemp, ytemp, label=label, lw=1.25, ls=\"--\", color=\"red\")\n",
" ax.plot(xtemp, np.negative(ytemp), lw=1.25, ls=\"--\", color=\"red\")\n",
"\n",
" if high_leverage_threshold:\n",
" high_leverage = 2 * self.nparams / self.nresids\n",
" if max(self.leverage) > high_leverage:\n",
" ax.axvline(\n",
" high_leverage, label=\"High leverage\", ls=\"-.\", color=\"purple\", lw=1\n",
" )\n",
"\n",
" ax.axhline(0, ls=\"dotted\", color=\"black\", lw=1.25)\n",
" ax.set_xlim(0, max(self.leverage) + 0.01)\n",
" ax.set_ylim(min(self.residual_norm) - 0.1, max(self.residual_norm) + 0.1)\n",
" ax.set_title(\"Residuals vs Leverage\", fontweight=\"bold\")\n",
" ax.set_xlabel(\"Leverage\")\n",
" ax.set_ylabel(\"Standardized Residuals\")\n",
" plt.legend(loc=\"best\")\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\"] = [\n",
" variance_inflation_factor(self.xvar, i) for i in range(self.xvar.shape[1])\n",
" ]\n",
"\n",
" return vif_df.sort_values(\"VIF Factor\").round(2)\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\n",
"\n",
" def __qq_top_resid(self, quantiles, top_residual_indices):\n",
" \"\"\"\n",
" Helper generator function yielding the index and coordinates\n",
" \"\"\"\n",
" offset = 0\n",
" quant_index = 0\n",
" previous_is_negative = None\n",
" for resid_index in top_residual_indices:\n",
" y = self.residual_norm[resid_index]\n",
" is_negative = y < 0\n",
" if previous_is_negative == None or previous_is_negative == is_negative:\n",
" offset += 1\n",
" else:\n",
" quant_index -= offset\n",
" x = (\n",
" quantiles[quant_index]\n",
" if is_negative\n",
" else np.flip(quantiles, 0)[quant_index]\n",
" )\n",
" quant_index += 1\n",
" previous_is_negative = is_negative\n",
" yield resid_index, x, y"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Making use of the \n",
"\n",
" * fitted model on the Advertising data above and \n",
" * the base code provided\n",
"now we generate diagnostic plots one by one."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"execution": {
"iopub.execute_input": "2026-07-28T12:13:22.366803Z",
"iopub.status.busy": "2026-07-28T12:13:22.366515Z",
"iopub.status.idle": "2026-07-28T12:13:22.371598Z",
"shell.execute_reply": "2026-07-28T12:13:22.369421Z"
}
},
"outputs": [],
"source": [
"cls = LinearRegDiagnostic(res)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**A. Residual vs Fitted values**\n",
"\n",
"Graphical tool to identify non-linearity.\n",
"\n",
"In the graph red (roughly) horizontal line is an indicator that the residual has a linear pattern."
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"execution": {
"iopub.execute_input": "2026-07-28T12:13:22.373315Z",
"iopub.status.busy": "2026-07-28T12:13:22.373117Z",
"iopub.status.idle": "2026-07-28T12:13:22.733108Z",
"shell.execute_reply": "2026-07-28T12:13:22.730146Z"
}
},
"outputs": [
{
"data": {
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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"cls.residual_plot();"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**B. Standarized Residual vs Theoretical Quantile**\n",
"\n",
"This plot is used to visually check if residuals are normally distributed.\n",
"\n",
"Points spread along the diagonal line will suggest so."
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"execution": {
"iopub.execute_input": "2026-07-28T12:13:22.735869Z",
"iopub.status.busy": "2026-07-28T12:13:22.735530Z",
"iopub.status.idle": "2026-07-28T12:13:23.056773Z",
"shell.execute_reply": "2026-07-28T12:13:23.054695Z"
}
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"cls.qq_plot();"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**C. Sqrt(Standarized Residual) vs Fitted values**\n",
"\n",
"This plot is used to check homoscedasticity of the residuals.\n",
"\n",
"A near horizontal red line in the graph would suggest so."
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"execution": {
"iopub.execute_input": "2026-07-28T12:13:23.059170Z",
"iopub.status.busy": "2026-07-28T12:13:23.058904Z",
"iopub.status.idle": "2026-07-28T12:13:23.437864Z",
"shell.execute_reply": "2026-07-28T12:13:23.436213Z"
}
},
"outputs": [
{
"data": {
"image/png": 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QQwghhJCsQEEPIYQQQrICBT2EEEIIyQoU9BBCCCEkK1DQQwghhJCsQEEPIYQQQrICBT2EEEIIyQoU9BBCCCEkK1DQQwghhJCsQEEPIYQQQrICBT2EEEIIyQoU9BBCCCEkK1DQQwghhJCsQEEPIYQQQrICBT2EEEIIyQoU9BBCCCEkK1DQQwghhJCsQEEPIYQQQrICBT2EEEIIyQoU9BBCCCEkK1DQQwghhJCsQEEPIYQQQrICBT2EEEIIyQoU9BBCCCEkK1DQQwghhJCsQEEPIYQQQrICBT2EEEIIyQoU9BBCCCEkK1DQQwghhJCsQEEPIYQQQrICBT2EEEIIyQrKVO9Ad7xeLz766CPs27cPVqsVl112GUpLS/t83rfffouPP/4YgiDg4osvxpQpU5Kwt4QQQghJB7LL9GzatAljxozBhx9+CIZhsGrVKgwfPhyfffZZr8977bXXcOaZZ6Kurg5NTU0466yz8Kc//SlJe00IIYQQuWMEQRBSvRPtHT16FAaDAYWFhdHbbrvtNqxfvx779u3r9jlOpxODBg3CI488gv/3//4fAOCFF17Az3/+c5w4cQK5ubl9btfpdMJsNsPhcCAnJ0eaN0MIIYSQhOpP+y27TE9FRUWHgAcAJk2ahBMnTvT4nM8//xwulws33XRT9LabbroJfr8fy5cvT9i+EkIIISR9yLKmpz2e5/GPf/wDs2fP7vEx+/fvh8lk6hAs5ebmIjc3FwcOHOj2OYFAAIFAIPpvp9Mp3U4TQgghRHZkH/Q88MAD2LNnDzZv3tzjY7xeb7cpLbPZDI/H0+1zFi9ejMcee0yy/SSEEEKIvMmue6u9xx9/HH/+85/x8ccfY9SoUT0+zmg0oq2trcvtbW1tMJlM3T7noYcegsPhiP7V1tZKtduEEEIIkSHZZnqefPJJPPXUU/j0009x9tln9/rY0aNHw+PxoK6uDmVlZQAAm82G1tZWVFdXd/scjUYDjUYj+X4TQgghRJ5kmelZvHgxFi9ejE8++QRz5szp9jG//OUvo0XKc+fORX5+Pl5++eXo/S+//DLMZjPmzZuXlH0mhBBCiLzJLtPz0Ucf4ec//znOOussfPzxx/j444+j9z3xxBPQarUAgCVLlkChUOCCCy6ATqfDX//6V1x//fXYsWMHFAoFPv30U/ztb3/rsXuLEEIIIdlFdkHPkCFD8Oyzz3Z7H8Mw0f9/4oknMHny5Oi/L7/8cuzbtw+fffYZBEHAb3/7WwwdOjTh+0sIIYSQ9CC7yQlThSYnJIQQQtJPWk9OSAghhBCSCBT0EEIIISQrUNBDCCGEkKxAQQ8hhBBCsgIFPYQQQgjJChT0EEIIISQrUNBDCCGEkKxAQQ8hhBBCsgIFPYQQQgjJChT0EEIIISQrUNBDCCGEkKxAQQ8hhBBCsgIFPYQQQgjJChT0EEIIISQrKFO9A4SQzOVavRrezVs63KYwm1Fw5w9TtEeEkGxGmR5CSMJ4N2+Be80aKAsKon+KvNxU7xYhJEtRpocQklCqsjLk3/b9VO8GIYRQ0EMISSyusQHNf1gC1mCAbtJE6CdPTvUuEUKyFHVvEUISSmE0QRB4BI8exfHv34aGX/4y1btECMlSlOkhhEiK5wXUtfngCYagW3A5Bt9/P1iWAQCYL78cx264AcZzz4Vp7twU7ykhJNtQ0EMIkUyNzYXPdjXhULMb/lAYWqUClbZDuHBsEaqsJugnT4K6ogLerV9T0EMISToKegghkqixufD6+qOwe4IoMWuhV+vgDYawq96BeocPt86qQJXVBCEcghAMpnp3CSFZKOaaHoZhErkfhJA0xvMCPtvVBLsniOFWI0xaFRQsgyG1+zDcaoTdE8Ty3U1wrl4D7thxGGbOTPUuE0KyEGV6CCFxq2vz4VCzGyVmbYcLpIqV72P40n9gRFE5FK121B3Zifzbb4Np7rkp3FtCSLaioIcQEjdPMAR/KAy9Wtfh9m/u+hVyag/BeOwgGkpYVDzyC1gnV6doLwkh2W7AQc+nn36K5cuX9/t5CxYswLx58wa6WUKIDBnUSmiVCniDIZi0qg73OcsrUVc4GG1eDsaKISnaQ0IIiSPoCYVC8Pv9A3oeISSzlFl0qCw0Yle9A0aNskMXlyAIaHD4Ma7MjDKLrpdXIYSQxBpw0LNw4UIsXLhQyn0hhKQplmVw4dgi1Dt8OGgTa3t0agV8wTAaHH7kGdS4YExRdL4eQghJBZqRmRAiiSqrCbfOqsDYUjPavByOtnjQ5uUwrswcHa5OCCGpJFkh84svvohzzz0XY8aMwbFjx3DZZZfh2LFj+NnPfoaf//znUm2GECJjVVYThp1jjM7IbFArUWbRUYaHECILkmR6vv32W7z55psYPXo0AODRRx9FaWkpfv/73+PZZ5/Frl27pNgMISQNsCyD8jw9RhXnoDxPTwEPIUQ2JMn0rF69GnPmzIkWL37yySdYu3YtqqursXHjRqxbtw5jx46VYlOEEEIIIQMiSaaHYRg4nU4AwLZt26BUKlFdLc7FoVAoIAiCFJshhBBCCBkwSTI9c+fOxS9/+UuUlJRg2bJl+O53vxu9b8OGDbjrrruk2AwhhBBCyIBJkumZMGECXnrpJXz55Zeorq7G448/DgD44osvMH36dIwbN06KzRBCCCGEDBgjxNj3xDBMRndTOZ1OmM1mOBwO5OTkpHp3CCGEEBKD/rTfA+7ecjqd0TqevpjNZphMNEcHIYQQQlJnwEHPM888gyeffDKmxz7++ON4+OGHB7opQgghhJC4Dbh7q6WlBS0tLTFtpLCwEPn5+QPbwySh7i1CCCEk/SSle6ugoAAFBQUDfTohhBBCSFJJtgwFANTX12Pv3r1obW3tcPvYsWMxatQoKTdFCCGEENIvkgU9Dz30EJ599lmwLAuWZREIBAAAGo0GTzzxBAU9hBBCCEkpSebpWb9+PV599VVs374dDzzwAB5++GG43W48/fTTKCoqwp133inFZgghhBBCBkySoGfTpk247rrrMGbMGLAsC47jYDAY8MADD2DSpEn46KOPpNgMIYQQQsiASdK9ZbfbUVhYCEAscG6/qnpFRQXq6uqk2AwhhJB+8u/bB8f77yN4vBZKqxXm7yyAfurU0/cfOICmxYu7PK/kscegHjw4mbtKSMJJWsgMANOnT8cTTzyB733ve1CpVHjnnXfw0ksvSb0ZQgghfXCtWoWTr76GnIsvhn76DPh27sCxW7+Pkiceh+WyywAAvMsF78avUP6Xl8EoTzcJSplPM0LIQEgS9MyYMQMqlQqAGPRcf/31mDt3LniexzXXXINLLrlEis0QQgjpB/306TCdd17036a554I7dhyODz+MBj3tH8tqNEneQ0KSS5Kg5zvf+U6Hfz///PN48sknEQwGkZubK8UmCCGE9JPCaOzwb97vR+DwYejPOKPLY+sf/D8IIQ6ayirkfu96qKzWZO0mIUkjefdWhMFggMFgSNTLE0IIidGJe+9DqNWOYM0hmC68ENYH7u9wv37GDBjPPhuMWg3Hhx/i8MULUPH2W9AMG5aiPSYkMSRZZX3JkiV4+eWXe3zufffdhx/84AcD28MkoWUoCCHJxvMC6tp88ARDMKiVKLPowLKM5K/p/3orwi43fN9+C/s//4nSJ59Azvz54uN9PjBaLRhG3K7A8zh67XVQFhai/I8vxv0eCUm0pCxD0d6UKVMQDoc73OZyufDBBx+A4zhMnDhRis0QQkjGqLG58NmuJhxqdsMfCkOrVKCy0IgLxxahymqS+DVHocpqgmnuuQCApt8sjgY9rE7X4TUYloXxrLPQ9v778b1BQmRIkqDnzDPPxJlnntnl9v/7v//D1KlToet0UBFCSDarsbnw+vqjsHuCKDFroVfr4A2GsKvegXqHD7fOquh34BPra6rKShGy2yHwPBi2+6nawm2tYNVqKd4qIbIiyeSEPVGpVDjnnHOwfv36RG6GEELSBs8L+GxXE+yeIIZbjTBpVVCwDExaFYZbjbB7gli+uwk8H1PlQa+vOWLneozRhaOvydlb0fb2OzBMnx4NeBwffYRQc3P0tXw7d6Htgw9huvBCyd87IamWsEJmAAiHw9i6dSvGjx+fyM0QQkjaqGvz4VCzGyXm03U0EQzDoMSsRY3Njbo2H8rz9HG9Zlijw4znH8IZShWCrBI19noYp09H8WOPRh/DGk04dsONYDQagGURPHIElquuQuGP7pHk/RIiJ5IEPf/5z3/w7rvvdrgtFAphx44d8Hq9NE8PIYSc4gmG4A+FoVd33+2vUyvQ5PTDEwzF/Zq28dNhGzsF2sYTsDW14upLpqG8uqLDY0xzz4VxztkIHj4MPhCEumJIl6HuhGQKSYIevV6PgoKCDrepVCrMnj0bN910U3SJCkIIyXYGtRJapQLeYAgmrarL/b5gGBqlAgZ17KfnXl+TVaA5rxQObSGMRd3PvcMoFNAMH96v90FIOpIk6Fm4cCEWLlwoxUsRQnqRiCHOJLnKLDpUFhqxq94Bo0bZoTtKEAQ0OPwYV2ZGmSX2ASCJeE1CMlFCa3oIIdJJxBBnknwsy+DCsUWod/hw0CbW4ejUCviCYTQ4/MgzqHHBmKJ+BbOJeE1CMtGAR289/PDDYBgmpr8nnnhCyn0mJOtEhiPvqnfAoldhWIERFr0Ku+odeH39UdTYXKneRdIPVVYTbp1VgbGlZrR5ORxt8aDNy2FcmXlAw9UT9ZqEZJoBz8h85MgRHDt2DICYPr377rtRUlKCm2++GcXFxaivr8frr7+OtrY2LF26FEOGDEnMO5AIzchM5IrnBfxpzSHsqndguNXYpevioM2NcWVm3Dmnkq7k00yyZmSm3wXJZEmZkXno0KEYOnQoAODTTz+F1WrFypUrwbab7Oqmm27CrFmzcOjQIdkHPYTIVSKGOBN5YFlG8u8sEa9JSKaQZHLCHTt2YPr06R0CHgBQKBSYOnUqdu7cKcVmCMlKp4cjd3+NolMrEAiF+zXEmRBCspEkQU9hYSGWLl0Kp9PZ4fbW1lb873//g9Xa/TBJQkjf2g9H7s5AhjgTQkg2kuQsef3112PJkiUYOXIkLr/8chQXF6OhoQH//e9/MWzYMHz3u9/t92t+/fXXeOONN8DzPJYsWdLn4++99164XB2LOS+77DJcdtll/d42IXJCw5EJIUQaAy5k7szv9+PPf/4zli9fjoaGBpSWluLiiy/GHXfcAXU/F647//zzYbfbUVxcjM2bN6OlpaXP5xQUFOCqq67C9OnTo7dNnDgx5hXeqZCZyFnnxSQ7D0em0TmEkGzVn/ZbsqBHSrt27cLYsWPx/PPP44knnog56HnxxRdx7bXXDmibFPQQuWs/T08gJHZpVVmNuGAMzdNDCMleSRm95XQ6oxsSBKFLPU97ZrMZJlPsJ+WxY8cOaJ/eeustrFmzBkOGDMF3v/tdjBgxYkCvQ4gcVVlNGHaOkYYjE0LIAA24kPmZZ55BeXk5Xnjhhej/9/T3wgsvSLnP3bJYLBgyZAjGjh2Lbdu2Yfz48Xj77bd7fHwgEIgGbpE/QuQuMhx5VHEOyvP0FPDIHM8LqLV7sa/RiVq7FzyfnGw5IaR7A+7eamlpQUtLCwoLCyEIQq9dUIWFhcjPz+/3zvWne8tms3UYJfbAAw/gr3/9KxobG6HRaLo8/tFHH8Vjjz3W5Xbq3iKESIGWDSEkOdK+pieiP0FPZ1u2bMG0adOwfft2jB8/vsv9gUAAgUAg+m+n04ny8nIKegghcetceK5XK+ENhqjwnJAE6E/QI8k8PYBYT7Nv3z4AQFNTE+bPn4/Ro0fjlVdekWoT/eL1egGgx0BNo9EgJyenwx8h7VHXBBkInhfw2a4m2D1BDLcaYdKqoGAZmLQqDLcaYfcEsXx3E/2eCEkBSebp2bt3L5566ils2bIFAPDYY4/B6XTipptuwk9/+lOcc845qKqqkmJTUXfffTcuuOACXHbZZdi+fTsMBkN0G4FAAM888wwGDx484KJokt2oa4IMFC0bQoh8SRL0rFixAnPnzoVSKb7cRx99hKVLl2LSpEk4cOAAVq9e3a+g5/nnn8e2bduwZ88euN1u3HLLLQCAJ598EmVlZQCAf/3rX7BarbjsssugVCpx9dVXQ6/Xo6SkBJs3b4Zer8d///tfKBQKKd4iySJduyZ08AZD2FXvQL3DR10TpFenlw3pfrJInVqBJqeflg0hJAUkCXqCwSA4jgMA7Nu3D36/PzopoNFo7FA7E4tx48bBYrHgnHPO6XC7wWCI/v9LL72E0aNHAwDGjBmDLVu2YMuWLaitrcX999+PyZMnR4MwQmLVuWsicqVu0qpg1Chx0ObG8t1NGFZgpJFTpFvtlw0xaVVd7qdlQwhJHUmOulmzZuE3v/kNxowZg/fffx8LFy6MNhabNm3CjTfe2K/XO++88/p8zPXXX9/h3wqFAjNmzMCMGTP6tS1C2qOuCRIvWjaEEPmSpJD5zDPPxEMPPYQlS5aAZVk8+eSTAIAvvvgCJSUlmDp1qhSbISThaEVzEi+WZXDh2CLkGdQ4aHPD5ecQ4nm4/BwO2tzIM6hxwZgiyhQSkgKyHrKeTLQMBQGAWrsXz604AIte1W3XhMvPoc3L4afzRlCmh/SKlg0hJDmSsgxFZzzP4z//+Q82b96M8847D5dccgkOHToEt9uNCRMmSLUZQhKKuiaIVGjZEELkR5KgRxAEXHLJJdixYwf0ej0KCgpwySWXQKfTYcGCBdi2bRu0Wq0UmyIkoSJdE/UOHw7a3N2uaE5dEyRWkWVDCCHyIElNz//+9z8cOXIE+/btw9VXXx29vbS0FKNHj8bSpUul2AwhSVFlNeHWWRUYW2pGm5fD0RYP2rwcxpWZabg6IYSkMUkyPTt27MCll14Kg8HQZcTLkCFDcOTIESk2Q0jSUNeEiOeFrP8MCCGZQ5KgR6/Xo6amptv7tm3bFp2zh5B0ku1dEzQrNSEk00jSvXXJJZfgv//9L7788stopsfr9eLhhx/G5s2bcfHFF0uxGUJIkkRmpd5V74BFr8KwAiMsehV21Tvw+vqjqLG5Ur2LhBDSb5JkeoYOHYolS5bgwgsvBM/z0Ol0eOyxx6BWq/GPf/wDhYWFUmyGEJIENCs1ISRTSTZk/YYbbsAFF1yA//3vf2hsbITVasXFF1+MoqIiqTZBSNZJRU0NzUpNCMlUki7+YrVacfPNN3e4LRAI4Pjx4xg+fLiUmyIk46WqpoYWzCSEZCpJanoAsYanPUEQ8I9//AOjRo3CW2+9JdVmCJEczwuotXuxr9GJWrsXPJ/6mcdTWVPTfsHM7nReMFOOnx8hhHQn7kzPG2+8gQcffBCNjY0oLS3Fyy+/jLFjx+Laa6/FN998gzvuuAM/+MEPpNhXQiQnxxFKqa6p6c+s1HL8/AghpCdxBT01NTW4/fbbcfPNN2Py5MnYtGkTbrrpJhQXF2Pw4MHYs2cPqqqqpNpXQiQVyabYPUGUmLXQq3XwBkPYVe9AvcOXsokIU11TE+us1Idb3LL8/AghpCdxBT0rV67EwoUL8de//hUAcNddd+Hiiy+Gx+PBp59+CpaVrPeMEEmlOpvSGznU1ERmpY5kcZqcfmiUCowrM+OCMUUYVmDEn9YckuXnR6RFE1SSTBJX0NPQ0IDx48d3uG3ChAlQq9UU8BBZS3U2pTfta2q6W+m9c01NovQ2K3Wt3Svbz49Ih7ovSaaJ66wZDoehUnU8KSsUii63ESI3csim9EROK733NCu1nD8/uUj3DIlcu38JiUfcl4rPPfcc/va3v0X/bbfbwTBMh9sWLVqEu+++O95NESIZuWRTupMOK73L+fOTg3TMkLQP0nQqBZbtaqTuS5Jx4jojnXPOOTE9bsyYMfFshpySbleOct5fOWVTutNXTU3nhjPZn7XcP79USscMSecgLRwWUNvqxahiE3VfkowSV9Bz/vnn4/zzz5dqX0gv0u3KUe77mw7ZlFhXek/FZ50On18qyLlAvifdBWknWr046Qlif5MLBo0SeQZNh+dQ9yVJV9mZe04z6XblmC77O6zAiPlji7Fyjw11rT4oWECrUvaYTUmFvlZ6T+Vn3d9sVDaQc4F8d3oK0nL1auTqVPD4QzjU7EGuXt3h/cTafSnnbC/JThT0yFy6XTmmy/62z474uDDAANYcLc6rLsKsygJZfJZ9kcNnHWs2KlukW4F3T0GaSatErkGD+jYfTroDcPlDyNGJtVuxdl/KPdtLshMFPTKXbleO6bC/nbMjpaeyIw0OP5btakSJWZsWJ2W5fNZ9ZaOySboVePcUpDEMgyqrEU4/h5PuAFq9Qeg1sXdfpku2l2QfmkxH5k6flLo/SerUCgRCYdlcOcp9fztnR0xaFRQsA5NWheFWI+yeIJbvbkqL9aPk/llno0iBd4PDD0Ho+BuKZEiqrEbZFHj3ts5ankGNkUVG5Bk08HFhHG3xoM3LYVyZudegJZOOMZJ55HG5QXqUbleOct9fuWRHpCD3zzobpVuBd1+j8HwcjwXjinHJhFJ4uXBM3ZeZdIyRzDPgs+HXX3+Nb7/9NqbHTpkyBRMnThzoprJaug0Nlvv+plvNRW/k/llnq3Qq8I4lSLtwbDEG5xtifs1MOsZI5hlw0PPFF1/gj3/8Y/TfLS0tcDgc0Gg0KCwsRHNzMwKBACwWC5588kkKegYo3a4c5b6/mZQdkftnnc3SqcBb6iAtk44xknkYoXPHc08PZJgufdQRNpsN06ZNw+OPP47rr78eCoUCoVAIb7zxBp588kls2bIFeXl5ku641JxOJ8xmMxwOB3JyclK9O120HwkRCIknjSqrUXZXjhFy3V+eF/CnNYewq97RYcQTIGZHDtrcGFdmxp1zKmXZQHVHrp81SS9SDS/PxGOMyFt/2m9Jgp7XX38dX331FV5++eUu9918882YP38+rr322lg2kzJyD3qA9JvzQq7723lkSefsSDqOLJHrZ02yUyYeY0S++tN+S5JfrK+v71Kw1l5dXZ0Um8l66TY0WK77m041F7GS62dNslMmHmMkM0gS9MyePRsXXHABzj77bFx77bVgWRbhcBj/+Mc/8J///Ac/+tGPpNgMIZJJp5oLQtIRHWMDQ1nbxJKkewsAnn32WTz66KPgeT5ayKxUKrF48eK0CHrSoXuLEEJI5qJZrAcm6TU9ETabDevWrUNDQwNKS0sxe/ZsFBQUxL7nKZQOQQ9dARDSNzpOSDrqOou1MjpTPNVB9S7pNT0RVqsV8+bNAwCYTPTlSImuAAjpGx0nJJmkHPGW6nX0soVky1CsXr0ao0ePRk5ODl544QUAwLp16/DjH/9Yqk1krcgVwK56Byx6FYYVGGHRq7Cr3oHX1x9Fjc2V6l0kJOV6O05eW3cE6w42Y1+jE7V2Ly2BQOJWY3PhT2sO4bkVB/CHVQfx3IoD+NOaQwM6H/dnFmsSH0kyPXV1dfjud7+Lhx9+GLt3747ePmvWLNxzzz3Yu3cvqqurpdhU1knVFQB1EZB00ttxEgzx2HzUju21bRicb4BO1X32h37zJFZSL6hKs1gnjyRBzyeffIIFCxZg0aJF+OUvfxm9nWEYzJgxAytXrqSgZ4BSsY4NdRGQdNPTcWL3BLH9hAMBjkdYwaDQqIFSwXRpnOg3T2KViAtRmsU6eSTp3mpqasKgQYMAoEvDHAqFwHGcFJvJSsleSZu60kg66u44EQQBNTY3fMEQCk1qsAwQFoQuq30faHLSb57ELBFdUZF19Boc/i4DhiLr6FVZjbSOngQkCXrGjh2L1atXQxCEDj+CpqYmLF26FGeccYYUm8lK7a8AuiPlFUDnKxiTVgUFy3RpJKgegshNd8eJyx9CqzcIo1aFEC9AwbJQK8RTXqRxOtjkwrtb6+g3HyeeF1Br92ZFzVQiLkQj6+jlGdQ4aHPD5ecQ4nm4/BwO2ty0jp6EJMmVXXLJJfjNb36D+fPng2VZGAwGPPLII3j55ZcxduxYzJkzR4rNZKVkrqSdiq40QuIRqcNx+TkUGDU4bvdgRJF4nATDPEJhHkqNAm3eEKw5Wpi0p095OrUCR1o4OP0hDMnXR3/zgiDA5Q8hGObF7oomF/3me5FtXYOJ6oqiWayTQ5KgR6lUYuXKlfjVr36F9957D42NjdiwYQOuvfZaPPHEE1JsImslaiXt7oo2qZiOpJPOjW0wxKPZFYAnEMbwIiNYBhAAtLgCMOlUqCw0dAjmfcHwqS4vPnrVbvcEcMjmgd0bRIjnwZ56/N4GJwU93ZC6oDcdJPJCNJNnsZbLQAHJqqLMZjNeeOGF6HB1Ih2prwB6ujIbX26W/ApGLj90klm6a2w9gRAcPg5NLj94CMjRKKFRKhBiGEwYZEaeQRN9fqRxqrQa0ewMwBsMgQvz2FbbBl8wDKNWCZVCCU8ghDYvh092NmBYoSHjGvB4ZOvcMom6EG3/+pkWYMspGyhJ0POvf/0Ln3zyCZ566imUl5d3uU+lUuGqq66SYlNZS6orgN6uzOrafLDoVGhw+CW5gpHTD51kju4a20iGxunj4PBxEAQBVcMKcM4oK7bXOnDSE4RaqejSOF05uRwr9jRhZ50DDm8QvmAYeQZ1dAb6YIjHkHw9Alw4IxvweGRzdzh1RcVObtlASYKePXv24MMPP8SqVavw3nvvYebMmR3u02q1Umwm68V7BRDLlVmJWYtcvSruK5gamwuvrTuCujYfcvVqFBg0ULDI6LQ3SY7Oja3dE+iQodGoFPAEQjhq9yAkCDiv2op9Da4eGyeWBQ40uXDM7oVFr4IAIBgKw+0PQadWospqgkrBZGwDPlDZ3h2eTl1Rqcq4yzEbKFn31v3334/W1lace+65eOmll3DbbbdJ9dJEInVtPtTYXDBplOKVr4KFSStmdCJXZm1eDldMLsP2WseAr2B4XsC/vjqOrcdawQKoa/VBqWCRq1ejstCAk6dGxNBVMxmI9o2tIAg4ZPN0yNDwggBvUKy9sHuC2N/owg/PHoaGUw1w55N+ldWEBRNKsLfRiTAvoNUbhJJlYc3RorLQiDyDGiGez+gGfCBobpn06IpKZcZdjtlAyX6NCoUCzz//PCZOnIg777wT27dvx+9//3upXp5IYG+DE7vrnWBOzVeiZFnk6dWotBqQZ9BEr8wKTBrcdU7lgK8M1h9qwer9NvACkGtQQ6VgwIUFNLv8cAdCGG410FUzGbD2ja0gAHZvEEbt6e5YLsxDybLQKBUoMStQY3Ojwenv9bdWXZyDMSU5UCoYqJWKDhcEQO8NeLbWrSVzZCkZmER0LfXn9y7HbKDkIfgtt9yCUaNG4YorrsDu3bsxcuRIlJaWSr0Z0k81Nhc+2dkAdyAEi16FHI0KXJiHzeWHK8BhYrkFKgUbPbEP9AqG5wWs2tsEHxfGoFwdFKw4L4pGyUBtUMPuCaKuzY98g4qumsmAtG9sc/UqhHgeKoV4KhMEAW7/6eHpYUGI6aRaZtGhymrCrnoHhpt1MTfg2Vy3luiCXhKfRHQt9ff3LsdsoGQLjrY3Y8YMbN26FW63G3/6058SsQnSD5Eff4ALY0i+HsEQDwaARqlAnkENXzCMGpsb9W3xz/pZ1+ZDg8MPg0aJUKcJyhiGgVGrRIs7gDCPjE57k8RpP5FbXZsPggAEQmEEQmHYPUHo1EpUFoon+VhPqgOZHI5mLz9d0Du21Iw2L4ejLR60eTmMKzNT3V6KST1z9EB+73KcaVqSVufGG2+EQqHocFtpaSnWrl2LV199lWZkTrHIj7/UokOhSQt3QGwcxGG5LNRKFsdOejF1qDbuKzNPMASWEdc4anEHoDawHQ44JcvAEwih1KKjtDcZEJ4XoFEqMGdkIbYcsaPZGYDNGYBFp+pQh9PfLpb+jMiRY4FmqqRTQW826alrKTL5po8Lo9UbhMvf9zJRA/29yzEbKEnQM3LkyG5v12q1uOeee6TYBIlD+x+/gmUwsdyCGpsbrd4g3AExSDFplVgwviTuKzODWgmdSgGdRQtPMNQhuOLCPFo9QehUCpxXbaWTIum3zul1jYLFmLIcNDkDYBhgWIEBeo0SLj83oJNqrA24HAs0UykdCnqzTXddS+0n3/RxIfA88MG39VAr2V7P/fH83uU2vH/AQc/bb7+N9957D9dccw04jsN7773X42OvueYaXH755QPdFIlT5x9/nkGNqRW50an2g6EwQmEB1cU5cW+rfb3FhEFmHG72wu4NwnMquNIoFThreAFmVhbEtZ1sLR6VUrp9hj0VZTY4/MjRqWA1atDm42BzBeI6qcbSgMuxQJOQ9joXmrd6g9GpHQwaBbgQC0uOCsftHry+/miv3ZHx/t7llA0ccNCjVqthNBqhVovDRI1GY6+PJanT3SgLhmGQo1NBEAQctLklG2XRPp150hPEyGIjwjzg9HNo9QYxyKLH9dMHx/Vjz+biUalI/Rl2DqBKcrQ9DhEfiFjS6/lGDW6eVQEfF074SVWOBZqEtNf+XHygyY1mlx/eQAhGrQqeQAh6jRKjS8zRedl6646V4vcul2zggI/Iyy67DJdddlmHfxN5Sna/aud0ZiAkHhDTh+bHnc6kSQ/jJ/Uw1u7WwApwPDQqsV5MiqA0lvT6oWY3WIbBKAkyln2h4dqZJ90yn7GInIvf3lKL3fUOKFgGgRDfofYNQJ/dsZn0e6fLkCyR7H7VRKQzadLD+EldgNs5gPJzCnx9zI42H4dcvQqTB+dCq1LEHZTKrTtJjgWaZOCSmT1OdnBVZTXhssllOGBzoThHB51K0WEOKqDv4yeTfu8DDnp+97vfYcmSJTE99mc/+xl+9KMfDXRT6e+tt4DCQmD6dMBgSNluJLtfVep0Jk16GD8pC3A7B1AAsLehFWFewOBcHVq9HI6e9GLKkFwMtxrjGtEkx+4kuRVokoFJ5tpQqeqaN2lUyNNroFcrBnz8ZMrvfcBniLlz5yI/Pz/676eeegoAcN1116G4uBj19fX45z//Cb1ej7PPPjv+PU1XggB8/DGwdy+gUAATJgCzZgFnngkMHw4wyY2M5dKv2l806aE0pMyYdA6gnD6xbsuoVYFlWRi1Stg9Qbj8IeToVHGNaJJrel1OBZqk/5I59UAqF96U6vjJhN/7gIOeSZMmYdKkSQCAtWvXQqfTYePGjR0WF33wwQcxbdo0+HyxTX6UkRgGePNNoL4e2LBB/PvrX4ElS8Tsz5lnikHQtGmAKT0i5VToPOmhot20mu0nPbToVFQ82gspMyadA6hgmEcozEOlFZ+rUrDwBMQRgkB8XVByTq+n64UESd7UA6me10nK4yfdf++StA5btmzBvHnzuqymrtfrMXfuXGzZsgXTp0+XYlPpq7QUuPJK8S8YBLZtA9avBzZuBD76CGBZYPx4YOZMMQgaPly8jQCIbdJDt5+DSSvO0VJr96bdFUgySJkx6RxAqRUslAoWXFiARsmAC/NQsCzUpyLUeLugMiW9TuSj7wn8Qmj1BuAK9D2BX2/kMK8THT8iSYIevV6P1atXg+M4qFSnrx4DgQDWrl0bzQiRU9RqMbMzbRrw058CDQ1i8LNhA/C3vwEvvQTk5YkB0MyZwIwZQE7iR6TIWV+THtqcfgRCAhqcfry4uoaGsfdAyiu+zgGUSatErl6NZpcfKr2qwxpYUnVBySW9nokjfbJR9xP4BaOTt/q5MMK8gA++qYN6au8T+PVGLoX4cjl+UokROi+I0dMDGabL2hkRra2tmDBhAvLy8nD99dejuLgYDQ0N+Mc//gG/349vvvkGJpl33TidTpjNZjgcDuSkMsDgOGD79tNdYTU1YsZn7NjTQdCoUVmXBeJ5AX9acwi76h3IN6iikx6GeR5cWECrJwiLXo25o6wwaJTRSevyDOqMHMYeb6PbvqAyMqVAldXY7yu+znUKPi6Mb461os3HwaJT4Ywh4uitTPouaJ6ozNH+vDLcakSrlzs1gV8IxlMze1sMahQatcg3Dvz3W2v34rkVB2DRq7rtVnb5ObR5Ofx03oi07jpKlf6035IEPQDQ1NSExYsXY/ny5WhoaEBpaSkuvvhi/N///V+Hgme5kk3Q05nNdjoA2rQJ8HiA3FyxFiiSBbJYUr2XSdG+gS3O0SDMAw5fENtPOBDmBcwZUYB84+ku1vYTL945pzJjrmakanSlylZ0DqACIR6BEA+Nkj31N7CAaiASnYHpWoya+QF2pot8pyfdATS7AmjzcjBqFfAEwtCpFZhYbkGuXh3XuaRzcNW5W1lO56l0zGImPejZv38/FAoFqqqq+r+3MpGooEfSH1AoBOzYcToIOnBALJQePVqsA5o5U/z/DM4CdW5gQ2EBJ1q9GFlsQnle1+kA4r2CktsJQK6NbqJnZI5FojMw6dRwkf6psbnw9pYT+N+uBihYQKtSIs8gzv+VZ9AAiP9c0vnY7dytLIeAOV2zmP1pvyWp6fn3v/8NhUKBX/7yl1K8XMaQ/AekVAKTJ4t/P/oR0Nx8uhbo3/8G/vIXwGwWsz+zZon/zcuT/o2lUOc+6UaHH29tqUWppfuTUDx95XI7AaR6BEhv2o/oSEWgmIzhwHIoRiWJUWU14bJJpacm8NMOaAK/WLYh50LiVA6pTyZJgp7Kykp8+umnUrwUAPGqafny5XjjjTcAAP/85z9jet5bb72Fjz76CIIgYMGCBfje974n2T71V1J+QIWFwMKF4l84DOzaJY4I27AB+Owz8TGjR58eFj92bEZkgdo3sJECZ6knrZPjCSAdGt1UBIrJCgblUoxKEsOkVSFPr45rAr++yLWQWM4XVFKTJOi55JJL8PTTT+M3v/kNvvvd73ap4TEYDNDpYh+xMW3aNFgsFlgsFqxevTqm5/zqV7/CH/7wBzz66KNQKBS49957sWPHDjz99NP9ei9SSMkPKDLx4YQJwN13A3a7mAVavx545x3g1VfFEWAzZpyuB0qDWqu+JGLSOrmeAOTe6KYqUExWMCjHWaGJdJI1AaYc57lJhwsqqUhy2f/b3/4Wu3fvxi9+8QuMGjUKhYWFHf5+97vf9ev1PvjgA6xYsQKzZs2K6fE2mw1PPfUUlixZgp/85Ce499578cc//hG/+93vUFdXN5C3FJf+/IASJi8PWLAA+M1vgJUrgddfB665BjhxAvj1r4ELLwS+9z1xePy334qZojQUGYKdZxALDV1+DiGeh8vP4aDNPaBJ6+rafKixuWDUKHDSE4TTx0Xr2ZL2/XWjfaPbnVQ2up0DRZNWBQXLwKRVYbjVCPupddF4PqYSwn45HQx2/751agUCoXDcwWCkUWxw+LvUN0YaxSqrMS0WXSRdJeJcki6SdQzJgSRnxx/96Ee48sore7y/pKSkX69XVlbWr8evWrUKoVCow0rvl156KRiGwYoVK3DLLbf06/XiJbsrcpYFxo0T/374Q6C1FfjqK7Eb7L33gNdeA4xGcW2wSC2Q1ZqcfZOA1H3lexud2N3gBAMgzAvRRU2rrOKqxKnKqMh1KQYgtVeKycrAyHlWaCINudfdJEo2ZTEleQfFxcUoLi6W4qUG5MiRIzCbzR3mAtLr9cjPz8eRI0e6fU4gEEAgEIj+2+l0SrY/sv8B5eYC8+eLfzwvrgsWGRH2+OPiemHDh5+eHXr8eLGIOsHiKYCVqq+8xubCJ9sb4PaHYNGrkKNTdVjUdGK5BSoFI9n315/3LOdGN5WBfjKDwWxtFDNVd8dfldWEirMN+Ka2FSc9QeQb1JhcngulMv3rIXsi5wsqqUnaktXW1mLPnj1obW3tcPv48eMxevRoKTfVQTAYhF7f9epRr9cjGAx2+5zFixfjscceS8j+pNUPiGWBMWPEvzvuAByO01mgpUuBv/8d0OvFLFBkcsSiIkl3gecFrD/UglV7m9Dg8INlGOhU/S+AjbevPNJFEwjxGJKnR7M7AKMG0CjZ6KKmNTYXzDoVxg+yxP39xVL02/mkPKzAKMtGN5WBfrKDQbkWo5L+6en4G1Viwr4GV4fbtxxplf2w7XjI+YJKapKdge6//378/ve/h0olrrDs94v93jqdDk888URCgx6LxQK73d7l9pMnT8LSw8R9Dz30EBYtWhT9t9PpRHl5uST7k9Y/ILNZrPe58EIxC7R//+ks0OLF4m3Dhp2eF2jiREDVtZGLVY3NhX99dRyr99vg48IwaJQoNGqgs2glK4ANhfiYrtoiXTSlFi0KTWq4Oy13oVayOHbSi6lD8+L+/mIp+gXQY1B01zmVsmp0Ux3oJzsDI8diVBK7no6/rw6fxPvb6lBi1mK41SiLUZvJki1ZTEmCnnXr1uGNN97Anj178Oabb0Kr1eJnP/sZXnrpJTz//PO44447pNhMjyZMmAC/348DBw5gxIgRAMQuL6fTiQkTJnT7HI1GA41Gk7B9yogfEMsC1dXi3223AU6nOCv0hg3Ap5+Kq8frdMDUqaeDoH7Ub9XYXHht3RFsPdYKXgAG5eoQ4gW0uAPwBEOYMMiMk6cKYAc6UmrV3ia8vu4IDjW7EQzzUCtYVBYacetZQ3FedceMVfsuGgXLYGK5BYdsHti9QXgCITAMA5NWiQXjSuL6/mIZHfavTcfh58Jo9XKyGTLfGzkE+pSBIbHo6fgzapTRwuVCozoavKd61GYyZcMxJEnQs3nzZlx33XUYOXIkWJYFx3HQarVYtGgR1q1bh48++kjyOXOuvfZaLFy4ENdffz1mz56NiooKPPPMM3jllVcAAE8//TQGDRqEuXPnSrrd/si4H1BODjBvnvgnCMDBg6fnBXr6aTELVFFxuhZo0iRxcdVuRE48dW0+sAByDWooWBYKFlAbWNg9QRxu8WJkkXHABbCr9jbhsaV7YPcEoGAYMAzgDYex7UQbHlu6BwA6BD6du2jyDBrkVqjh8ocQDPMIhniEwjyqS+Kbsbuvot/iHA2+OnwShSYNJgyyyGbIfF/kEOhTBob0pafjz+UPodXLId+gRquXg8sfQo5OzGJn2rDt3iTsGOI4cRqVykqgn4OVpCRJ0GO321FQUAAAKCgowM6dO6P3DR48GA0NDf16vV//+tfYvHlzNFvzne98BwDw0ksvYfDgwQCAZcuWYdSoUeKbUCrx1ltv4dJLL0V1dTVYlkVzczPee+89qHtodJMlY0/CDAOMGCH+3Xor4HYDmzeLQdDKlcC//gVotcCUKaeDoHY/9MiJJ1evRl2rDyoF0+6lGRi1Stg9QYR5DGioZCjE46XVNWh2+cX1n1QKKBgGYUFAgAuj2eXHS6sPorLQAH+Ijy6d0LmLhmEY5OhUHZYZKLPo4iq67qvoV1xTjMOIIlPazZmRcYE+kVyql3bp6fgLhsWLGrNeBaePQzDMd7g/nmL8VL/nlOF54OuvxclyV60CXC5g0SLg+utTtkuSVxXOmDEDjz/+OK699lqoVCq8/fbb+POf/9yv15g/fz4mT57c5fbc3Nzo/7/11lsYOnRo9N/Tpk3DkSNHsHnzZgiCgGnTpvVrQkQSJ6MRmDtX/BME4NAhMQO0fj3wu98BzzwDDB4cLYb2lg2HPxRGgUEDpYIFFxagUZ4+CagULDyBEJx+LqYC2M4nlROtXhy0uaFkGejVSkRiByXDQKFWIhgOYledC7/8YDdMOmWHIsa+umgOt7jjmnW4r6Jfp5+DACCnm/uA1E9C2JeMDfSTJJMbSDks7dLT8adWsFAqWPiCYShYFmpFx7q/eGZ3T/V7TipBAPbsEQOd5cuBlhbxgveqq4CLLhJrQlNIkqBn5syZUJ0qZp02bRpuvvlmXHTRRQiFQvje976HSy65pF+vN3Xq1D4fc+GFF3a5TavV4uyzz+7XttJJ2pwMGQaoqhL/brpJXBl+yxYxCFq9GvjPf1DBKnFd/lA0jZkMe8Fw7AtboDaoo5kNLsyDZRi0eoOYPjS/1wLY7k4qTj8HPxeGRadCp2QJQryAMC+A4wWEeB7DCowd6mXmjrJGR2907qIBEPesw30V/bZ6g7Do1FD0MEI25VMekITJ5AZSLku79HT8mbRK5OpVONziwbACA0za08fXQIvx5fKek+LwYTHQ+ewzcRLcvLzTg2LGjEGXE3GKSHLWvPjiizv8+7e//S2eeOIJcBzXYe4cMnBpfTI0GIBzzhH/BAE4cgSqdeth+e8yDPrgDZwJHrX6POwYPBpHRkzA0YpRaPUDGqUCgyz6XgtgezqpHLQ5EeYFBMM8VO1GagkC4AuGwAsCGIjFi5GZgyP1MvsbXfjh2cO6rBIOAH9ac6jP5Skq8gy9rjDeV9HvIIselQVGNDj9MGlV8p7ygEgmkxtIOS3t0tvxp2RZmLQqKBUs3IFQXMX4cnrPCdPQIGZzli0TazwjGf+f/1wsbZDhWo8Ju1TUarXQarWJevmsklEnQ4YBhg0DO2wYdBddhr9/vhemXdsx8vBOTN79DeZsX4MAq8ThsuHgzzwTk2dfjIpCY7cv1dtJZVK5Bfsb3fAEwtCpWLCnDr4wL4AL8+B5QKNiUWrRttu10/UyDU5/ly6aWru3z1mHvzneimc+24cWd7DX4LSvol9AzCh1PinXt/mhUbGoKhLrZmSb7SP9kukNpNzWdurp+DuzMh8ji009Znr7c56V23uWjN0u1m0uWwbs2AFoNMDZZwN33imu65jiOtq+DDjoWbJkCV5++eWYHnvffffhBz/4wUA3ldUy+WRYZTXhhrnV+Myah8/HTYV//o0wNzdiSv0+nNm0HyUbPwSz9h1xGHxkkdRp08TJEtH7ScWi16A8V4djdi/afCEYNEqoWAaBUBhcWADLMBicp4dZ1/EA7a1epq8CZB8XxoEmF/xcGCOKTH0Gp30V/XY+KQdCPAIcjxDP4oNv67BM2ZjybF/adLn2QyreU8Y2kKfIbmke9H78nTvSGvdvQI7vecA8HrE0YdkyccAKw4jLFf3612IGv5vJgeVqwEHPtGnTOhycL774Inw+H66++moUFxejvr4eb731FnJzc7stSiaxyfSTYdcTzxiUWb4jnmD8fuCbb05Pjvjee+Jq8hMnArNmIVg1Dn6u+5MKwzCYPiwfDj8HLiTAz4XhEwQIABQsgwKjBlMr8rp8pr3Vy7QvgDRqlNGh7GoFC4NagZ0nHPBxYRTlaGKa46OvxrX9Z7O3wYlPdjZAyYZRatFBr1amJNvXfp+bXQFsr23D4WZP+nW59iBV3cgZ1UB2Q65L8/RUdC9FMb5c33PMAgFxIMqyZcC6dUAwCEyeDDz4IHDeeUAPE//K3YA/7enTp2P69OkAgA0bNkClUuHrr7+GwWCIPuaRRx7pEhyR/sn0kyHQywlGqz299AUgFsdt2CDO9fCXv6Dc7cW90KFpzCScHD8FDaPGg9Of7grTqhSYWJ6Linw9DjS54Q6EYFArIAgAwzLI1XfM8vRVLxMpgPzqyEmEQjxafeIqzGFegD8Qgt0Xgk7FYnedEw1tAVRaDcgzaLoNTmNtXFmWQZlFh4+21SMY4jsMY092tq/9Pre4A6i1e6FSsBhbltOlGDytulxPSWU3cto3kH1I9YzdqZCW7zkYFCegXblSzOx4vcDIkcBddwEXXCD5EkSpIMkRtHHjRsyfP79DwAMAOTk5uOCCC7Bp0yacccYZUmwq62T6ybBfBg0Crr5a/AsGofzmW7S8+RFMWzdj1JY1AMuipWIE6sdMRn31RBxUF2Ly4Fz8YHbHomRfMIy/b+xaL9NXsSLLMhhVYsL72+rg8ouTmKkVLOpdYuZDEIACoxZatQI2lx+uAIeJ5Rbk6tUIhQU0uwM41OyGjwvh7xuOdWhcPQEOm4+exO4GB66fNhgzKwui+yCHbF/7gKA4R4P6Nh94AQjzPA7a3DBolMgzaNK2yzXV3chp2UD2gxxm7E62ZL7nuLpkOe50oLNmjTjnWkUF8L3viUPMhwyJe//kRJKWUq1WY926dQiHw1AoFNHbOY7Dhg0bMH78eCk2k5Uy/WQ4YGo12BnTUTJsNF5ffxShunqcUbcXFQd3YuSy9zDy/X9gVo4F+efNhjJwLspnzACKLdGnD2TmYJ4XsK/BhZIcLQqNarR6grC5AgjxAvL04szN7iCPPAOLvFMLlO6qc0CrUsDmCsDHhfGvr47Bx4mTnk0aLM62LC5k6karJ4BWH4djLR7MH1eCi8YWo8pqSnm2r3NA4PKH0ObjkGtQQ60Q9/9Qswe5enXadrmmOrDMhqBADjN2J1sy3vOAumQ5TqzNiQQ6LpcY3Fx7LXD++eKsyT300KR7HZ8kQc+1116L3/zmN5g9ezZuuOEGFBcXo6GhAW+88QZsNhuuvPJKKTaTlbLhZBiP0ycVHb4qLMLasbOhu5zHNHc9zrUfRN7Ob4CHHxYP4NGjxZmhzzwTVWPGYFg/F+2MNIzDi4wwapSob/Nh67FW6NQKGNUK1Lb54PFzCHBqaNVKKBUMjrR4kKNVgmFYDM7Vw6xTYVf9SZi0SrR6OQDAtto2+IIhGLUqFKlYeAJhbDlqR4PDj1tnVaQ829c5IIjMXKvSKjvMnh2Ztj8du1xTHVgC8g0KpGzksnHG7kS+5351yXKcOF9apOvK5RInjL36ajHQqarqcy6dtJ465RRJzpKFhYXYvHkzHnvsMTz11FNoaGhAaWkpLr74YvzqV7/qcaVzEhu5ngzlovuTypTTJ5XmZrEOaONG4N//Bv7yFyAnB+yMGSg/FQQhr+/1tNo3jAzDQKNSQMkyMGqUYBkGBQYNfIEw7F4OeQwDp49DIMRDAAOzToXhRSbwggCdmkUoLKDG5gIgzhuUd2piRl5g4AuGUWbRwX5qsdUfzB6W0mxf54AgMnNtZBbtyOzZkWn707HLNdWBZYTcgoJENHKJnLFbrlmIRLznWLpkV+yowzCdHeyqUxkdp1MMdK66SlxDMYZAJyJTpk6R7AguLy+PLvZJpCe3k6Hc9HpSKSwEFi4U/8JhYPducVTCxo3AI4+Ijxk5MpoFwvjx4iixTjo3jJ0bf6WCQZ5RjVy9Gg4vB4cvBAXLoNCkwZhSM/IMajh9HFQKBVgGaHIGwAAw6U5PQMiFeShYFhqlAiVmRXTOoFRm+zq/b3HmWjWaXX6oDeroPqsVbJcgTK6NUGdy6kaWyzIe6dbIZUIWoj966pJlwiEUH9iFSZu+xKDtmxBShqAeOgS48koxozN8eL9nR051zZuUJL1sEQQBNpsNHMd1uN1sNtPMzBKQy8kwrSkUYlAzfrw4IsFuB776SgyA3nsPeO01cVbRadNOB0FWK4CuDWP7xl+lV8HtD6HErMMZgy04Zvei1RfE4Dw9ZlXmRydHNGmVyNOr0eT0gQuLs0JHFlsVBAFufwjWHC1MWiXCghDtUhlVnJOybF93AUGV1Qh3IISTniBCYR4lFh0AcVFWqdYoSybqRu4o3Rq5dAvQpNA+A8uGOBTt34nybV+hfNtX0HjdcBYU45sp54K94xpUzpwU1zIQqa55k5JkQc8DDzyAJUuWwO/3d7nv8ccfx8MPPyzVpgiRTl4ecPHF4h/PA/v2nc4CPfmkeFtVFTBzJtiZM3HhyGEdGsaKAj3sngCOt/pg0alQka+HJxiGw8fBrFVhWIEhGvAA4gmi0mrASU8ArkAQWqUCLj8HQQD8XBgmrQqVhQYwDANfINShSyVZ2b7usjOdA4IcnRLDrQbsqneC5xmoFSwcvpCka5QlG3Ujn5ZOjVyyAzS5ZC+NYQ5j932NsQe+wdB930Lt88BdUISasy7A8ckzcbxgENp8IcysHhH3uldyqHmTiiRBz9KlS/HKK6/g1Vdfxfjx46FUdnzZwsJCKTZDSGKxrFjsPHo0cMcdgMMhDuXcsAH4+GPgjTdQpdfj/tHjsbF4FDYVjYAzJx/leXpYQzw0ShYOHwc/x2NaRR4qC41ocPghCEKHhiNXr4Y1RwuDWoHaVh9s7gCUDKBTK5FrEOcO6qlLJdHZvt66CLoLCC6dUIoJ5RYUmDT9XqNMLlmC9qgbWZROjVwyA7SUd6G5XMCXXwKrV6NswwZc2eLE8dwS7Dt3AU5MnIG20iEAw4jnD5tbsm5mudS8SUGSPdy1axe+//3v4/rrr5fi5QiRB7NZnJDrggvEjE9NDbB+PSwbN+KiT9/AecEQ/IPKEZ5xJkznnI2GqpHwgI2eVA63uLtdP6vB4YdZp0KOVgWWZdDiDoIXBBjVSrh8HDYfscOao8XgvN4XW5VaLF0Ed8Uw4i2WNcpibYRScVVN3cjp1cglK0BLWRea3S4WIa9eLQ4zD4eBsWPB/PCH8I6dgvePhaP7pBME+AKhDl2yUnQzy6nmLV6S/GKHDBmCI0eOSPFShMgTywIjRoh/t94Kxu2GevNmqDdsADZ8AXzwLso1GnFl4ZkzxWHxgwd3mx0ZW5qDk54gGhx+zKwsQKuXE+fp8QbBMAxc/hCKcoCbz0xeF1CsXQR3zjH2GRBI1Qil/Ko6jcUbLKZTI5eMAC3pNU719acDnW3bxO6pyZOB//f/xLWuTtUZVgC4dZCrxy5ZQJpu5kyqeZMk6Ln00kvx1FNPYenSpZg/f36X7i1CMo7RCMydK/4JAnD48OklMp57Dnj2WWDQIFTNnIlhM85E/Vmj4VaoYFArIQgCnl95MJoJyTOoMbUiFy5/CIFQGG1eDn4uhDZfEDwvJOVEImUXgRSNUDYWpkpFimAxnkYu2dm5ZARoSelCO3JEDHI+/1ysLVSpxEU9f/lLcRXzHqZ+6alLFpC2mzlTat4kiU5+//vfY9++fVi4cCGUSiU0Gk2H+3/1q1/hgQcekGJThMgPw4gzmFZWAjfeKK5Xs3WrGAStWwf27bcxSK0GJk0CZs7Eoaqx8HOhDpkQhmEQ4nkcbfGixROA08fh5bWHsWVwa1IyG1J2EcTbCKXbyCE5kTJYHEgjl4rsXDKyEAnpQhMEMbiJBDpHjwI6HXDWWcBNN4mjRzst7dST7rpkpexmjsiEmjdJgp4rr7wS48aN6/H+0aNHS7GZtCeXqn+SYHq9eGV29tniie348dMrxf/xjyj3+nGPwojjIyfixOhJsI0cB59Sg+0n2uALhqFWsjDrVMgzqJKW2ZCyiyDeRigZV9WZdCxG3ovLz+GDb+tx0h2QbGHa/jRyqczOJToLIdnxEQoB33wDfPEFsHYt0NAA5OQAc+YA990HTJ8OdEoaDFSiap3SveZNkqCnuroa1dXVUrxUxsq0+oRMajQSimHENW2GDAGuuw7w+9G48kvs+PtHKN3+Dc7+8jPwCiX2lVRBM2Q0GsdMxn5dAaxmHUrM4skqGZmN/mRnYvnu42mE4j1Z97V/mXQstn8vdm8Qh2xuWE0aFJq0yDs1EhCIL1iMpZGTQ3YukVmIuLKXbrd4wbN2rTgdhtst1uTMmQOce65Yq5OAkpB0KkZPJknfbSAQwNGjR9Ha2trh9vLycpSVlUm5qbSSafUJmdRoJFuNk8PrXDGOX3gDbDOvRO7JJow9tgsV+7dj4foPoVn3HpyWAjgmTUXrxKloGjE2KXOidJed0apYNLsCaHD4kW/U4PzR1n6NBBloIxTPybqv32YmHYud34tayeJoixttXg7batswsdzSIfBJ5DBzuczrE2sWor8Xbf3OXjY2ns7mfP21mOEZMUK88JkzR5wBPs65c/qSTsXoySRZ0LNkyRL8/Oc/h9vt7nJfNk9OKIcrICllUqORbO1/C5MGW8RRWwYNVpkLYRs6E+pQEGe2HcNCzxFU1ezE+E0rEVaq0FQ5CtsHjUZw8HeAGRMTdrJsn535trYVtXYvvMEw9GoFtCoF/rO5FjZXAGFeiPm7H0gqfKAn675+mzfPHIIVu21peyy2b6h1KgWW7Wrs8F4EAdCqlNAoGXgCIRxqdiNXnxt9n4m8sk/2vD7xZJoHetHWa/ZytBVV9jrg/bVioHPggDj7+5QpwKJFYld3cbEk7z1WmTTiSkqS/Pq//fZb/OpXv8K7776LFStWQKfT4YYbbsAf//hHLFu2DD/5yU+k2ExakssVkBQyLYBLts6/hciorfo2LbYea4WS1eJQ4XhsqpyLvToVjLYGlO75FgU7tmDOqndhXfdfePLyEJo6DaazZ4E9c4a4rpiEqqwm8KOBA00uFJo0KDXrUGjSwBsMY93BFvi4MOaMKIxmYBLx3Q/kZB3Lb/O/X9fB5vSn5bHYuaEOhwXUtnoxqrh97c7pJU7USgXq23yoN2tReio4TOSVfTK7UuLJNMd70dYhe+n2InfvThRuWgb22S8Am00c1TlrFnDLLeLUFUZj3O83Hpky4kpKkgQ9X375Ja655hpceOGFWLduHZRKJUaOHIk//OEPmDdvHpYtW4Yrr7xSik2lnXSa2bQvqQrgMqV+qLvfAsMwKLXoUNLmh83pR5jno6uVu60l2F9YjP8MPROKMIcJzUdQdnAHKjftRPnST5CjU0E7okosfpw+XawN0Mf3ufO8gBV7mhAM85g8OLfd9xwGwwAsw+Bwiye6KnzkPUj93ff3ZB3rbzMsCCjL7X7/5HosdtdQn2j14qQniP1NLhg0SuQZNGAYBgUmNQ61uOFxBsALArYcs6OgRQO9WonB+Ymb7DJZXSnxBC2SXLQ5nWDXr0f52rVinY7XC5SUiFNXzJkjjtCU2ZQtmTDiSkqSfDvNzc0YNGgQACAvLw81NTXR+8aNG5fVExdmUjFZKgK4TKof6um3EFnA0+4JwOUPIxjiEeJ5+IJhHGwSV1kvMWvhmjAZx6dOw75gCG31zRhXvx8LA7XIX70a+Pe/xZPt+PHiYqnTp4vLaXSzWnxvegoegmEeYUGAWa+C3ROEyx9Cju70e0jEd9+fk3Usv01e4KFgmLQ6FntqqHP1auTqVPD4QzjU7EGuXo1WL4cjLV5olCwEtQI+TswINTj8KDRpMHeUNa2HjccbtAz4oi0yUeAXX4gjr3geGD0a/I03oWniNDgGDYFBo5J1IJHuI66kJMnRLQhC9P8nTpyI5557DosWLYJKpcLHH3+Mxx9/XIrNpKVMKiZLdgCXafVDvf0WcvUqWE1aWHOAUJjH0RYP1AoWYIASsxaTyi0dT/JDS7DZYIKv7Dzc+eQwsHUnxNXiN20C3nwT+POfxdT61KmnM0GDBvVZD9RT8KBWsFCyLAABoXbZqIhEBQyxnqxj+W1adGoUmjSobfWlzbHYU0Nt0iqRa9Cgvs2Hk25xXqcamxu+YAhFJg3sXg6D8vQYVWKCmmXR6Axgf6ML5460JnT0VCK7UuLNNMd80eYPAtsPimtcffklcOiQOFHg1KnAgw8Cs2ejBjrxfR52w3+gJq0vxrKNJGeo0aNHQ6USTzTnnnsupk2bhqqqKgDA2WefjSuuuEKKzaSlTComS2YAl4n1Q339Fgbn63HzzCHQqZTwBENw+jj8e9Nx5LbrSorocJJ3+FE+eDAweDBw9dXi2jy7d58Ogp55Rrw6LS09HQBNmybOD9JJT8FDpF6krs0LnUohBmSnyCFgiPW3eX51Ef6+sfv10OR4LPbUUEeyg04/h5PuAOrafDjpCUCtZNHq5aBXKzCmNAd5BnHOF5ZlklKvlMiulHgzzb0FxiqfB4XbtmLC9i2oePkA4HWLMyCfdRbwwx+KMyOf6jrOtIuxbCNJ0NN5odF3330XNTU18Pv9GD16NFiW7eGZ2SFTismSGcBlUgF4e/35LexrdCIQ5qHvIXvS40leoRC7ucaPB37wA8DjEYfNRoKg998XMz7V1eLJfPp0YNw4QK3uMXhgGAbDCvWobfVCzPEI0S643r77ZNVjxfrbTPaxmMjVrfMMaowsMmKfgGiQbNapYM3RorLQEA14gOTWK7EsgzKLLvq+69p8knzv8WaaO/+2c5obULrrawzauQWFNXsRDHIIVgyD+pqrxNFWY8aIa+61k4kXY9lGkqDngw8+gEqlwoIFC6K3RTI93d2XjTKlmCxZjUYmFYB3FutvQbLuRIPh9AzRgDiHyObNYhD03nvAa68BWi0weTLYGTOwoGoM6vWqLsHDSQ+HCeUWWI0atPk42FyBXr/7ZNdjxfrbTNaxKMX77yuD5eN4LBhXjCkVufjLF4eRb9CguJsLhWTWKyXqe48308zyYSwM16Pi849RunMritqaIKjUOFE1BksvuB4nJ07DVd+ZAtZq6jFYzdSLsWwiyRGwdetWaLXabgObLVu2wGAwZH3QA2ROMVksjUYir3ABeRad9kcsv4WEdScWFwMLF4p/PA8cPChmgL76CnjxRVQEg/h5jgV7ykZhW9lIHKwYjVBufjR4GFbQd8CQqi6AWAOaRB+LUr3/WDJYF44txrACI7YebcOuegc6zwYT63pnUgSBifzeB5RpdjjEWZDXrQM2bEC52428HAt2jp+I98rHoGbIKLB6A6qsRlw15vQElj0FbSFeiPliLFNGnWaauFoMnufB8zwEQQDP8wiFOl51u1wubN26FVdffXVcO0nkp7dGIxlXuKmuIUmGpHQnsqw4O+zIkeIih4EA8O23MGzahClfbcKEZa8jLAgQhlVCe9aZYDVnAqZJvQYMqe4CSPXFhdTvP9YM1kB/K1JlZpLxvff5WRQagcOHTxch79gRHW2F668HZs+GYeRITAODsm4Ckr6Ctvlji2O6GGtxBbBqjy0jRp1mGkZoP/SqtwcyDDo/9OGHH8aTTz7Z6/MGDRqEb775BoUST6ImNafTCbPZDIfDgZxuCjxJbLqeNJTwBkPRE29/rvQ6v1bnk3iiCwblcqXWvlEKhMSTapXVmJx6MLtd7ArbtEn8s9nEkSzjx4u1QDNmAKNGdah9qLV78dyKA7DoVd02DC4/hzYvh5/OG5ERmc/OEvX+Y/k99ve3IuXxmszvvcNnAR5lh/eCXb9ODHTq68Xu2unTgdmzxckCY2h/eF7An9Ycwq56R4egDRAvtA7a3BhbmgMBwO56Z4+PKTFr4efCaPVycX+mJDb9ab/jyvTcdtttOP/88/Hqq69CrVbjxhtvjN7HMAzMZjOqq6uhkWjVWCJvqbrCTQQ5zQ+U0nqwvDzgoovEP0EAjh49HQD97W/ASy+Jo8AicwNNnw4Pa8zYeqxYpHJ16/78VqQ+XqV637EEd2xbK8rXrRO7rb76SpwksKhIrFubPRs444x+r1YeS73OoWYPLp9chgaHv/uMml4NCECrl6NCZ5mKK+gZOnQohg4ditGjR4NhGNlnc0hiJaLIL9aTuJRZGTkOSR1Il43kmSqGAYYOFf+uvVZcRHHnztNB0OLFAM9jSGExLjENRuvo8XCOmQifJa/Dy6R7PVZfUl2PFutvRerjVYr33ePFxhgrqhyNYibniy/EKRkYRhx1eMstYqBTVRXXunSxBm2FJk2PF2PjBpnx/jd1VOgsY3EfdSdPnoRarYbFYgEg1vm89NJLWL58OQYPHoyHH34YxUleaI2kRqqucKXMyqS6HkUqSclUKZXitPuTJgF33gm4XMDWrdBs3ozh/1sL1dY10ChZuKylsA0fg+Zho9A8dAQOCCaMG2RJaT1WIrsu06UeTerjNd733fliwwQFLHu2Ie+/XyF8aAf8YQ+0OUbgzDOBq64S17bKy+v2tQaiP0FbeZ6+24uxAzZXVmc500FcQY8gCDjvvPPwz3/+Mxr0/O53v8MDDzyA2bNnY/v27Vi1ahV2796d9XP1ZINUXOFKnZXJhCGpKctUmUzAueeCPfdc4Na78eay7TDt2YGxDQdRdmgfhq5bDi4s4FyTGfkzp4CtnQpMmCDOF6RWS78/PUh0QJiIAvREBGmJOF7Hl5uxu8GB7SfaMKzAAL1GGdP7jlxscPWNmN+0D4N2fY3i/Tug4IJw5Rdh28gp2HnWWbjitkvAahLzW+lv0NbdxViqs3ykb3F98qtXr0ZRURHGjBkTve3FF1/EL3/5S/z617+Gx+PB2LFjsWrVKsybNy/unSXyluwr3ERkZdJ9fiC5ZKqqrCZce9EEfDaoGJ80z0QgFEZO0Iep7nqc5atD7pEDwF//Cvh8YsaouloMgMaPBz9uPOoU+oRkYZIVEEpZjybXeW962ke3P4QWdxDNrgAKjBoUGDU9v2+eB/btQ9v/VmLG+8twedMxsAoFmodVY8eCa1E3bgqcRWVwBUJo83KY7gmhPEFBjxTBarpk+bJZXEHPN998g0mTJkX/ffjwYRw/fjxa0GwwGDB//nzU1NRQ0JMFkr3kRiKyMul+pSanTFX39VizTn//4bA4R9COHcC2bcDKlfD/7Q04fRwcpjzUlQ7DyfJhUI0Zg8kXzUDlsNK49ifZAaEUBeiym/emnUj2aW+DE5/sbECAC6PUokOpRQdPgMPhFg8MGiWumFyGmZUFp1/H6RSLj9evBzZuBOx2aDR6NBdU4cj8K9A0ZjKCBmOHbSXrYiPeYDWTlh3KVHGduZVKJZxOZ/TfGzduRH5+PoYPH97hMeFwOJ7NkDSSzBFXicjKpPuVmtwyVb3WYykU4nD3UaOAq69Gjc2Ftz/5Gob9e1DdfBQl9UdRveYDCP/7N5S/Z+AeWQnjxHFiVmj0aHFuIYMh5n1JRUAYz5xBspj3pofjNZLZqbG5sLveCXcghCH5ehSatFCwDHJ0akwYJM7qvaO2DTNDJ4GNG8RAZ+dOMcNTVQV85zvAWWfBXj4cyz8/1ONw92RebMQbrGbKskOZKq5f0JQpU/Dkk0/i3nvvxZAhQ/Dyyy93yejs2bMHl19+eVw7SdJLsoZYJyIrk+5XaumaqYo08LUqE4bPPQ+7GQa7xTuQ03gC/p27McndgDPr68GsWSNOosgw4iKro0eLgdCoUeLIstzcbrcht4CwL8kK0vp7vLbPPpk0SjAMYNGr0OwKwB0IY2K5BWVBFwoP7cXkXd+gePe3CMEHdY5RnNrgoYfEIuSiouhrlvGCrC424p3gMlOWHcpEcZ35zjrrLMyZMye6qKhWq8WLL74Yvf/YsWM4fvw4zo6s+UOyRjJmxU1UViadr9TSNVPVYwPPsnCWDoYrrwTvejmUzxuBcrNGnC9ozx5g717xb9UqIBgUn2OxiMFPRQVQXh79M+jz0iogTGaQFuvx2jn7dNITBB8Oo8p9EkNPHETR4X0YbTuCMl8rGACtxeXYOe5MaL+3ABXnnSVObNnD9tP5YqM7qZ4ZnHQv7qP77bffxooVK1BXV4e5c+eioqIiep/H48Hf//53KBSKeDdDSBeJPFGm65VaujYe/WrgFXqgslL8u+QS8QGhEHD8OHDkyOm/PXuAzz4TJ64DMAjAj1kDjhvyoSgfBFdRKVyFJXAVFsOVX4QGZ3hAAWGihr/LMWtX1+bD0YZWTDx5HBXbD8K8fzeu2rsbxoAXYFnUFg3G10PHY9eUM+CtHoNmtRFtXg4zpo3oMeCJSOeLDZI+4lqGIpPQMhTpK6XLNMhUun0mCVvCQBCA1lbgxAmgtha2PQexZ9NuaBvrUexshtbvBS8I4MICgjkWFI2uQs6IYWJ2aNAgcfmCggLxT991u4kc/h7Lsgjjysy4c05lYoJYngdaWoCGBnFph4MH0bZxC+xbt0PP8AhpdGgZOgJbzIOxLW8I2ipHIqjWoNUbxPSh+cg3qAe0j3JZ/oWkj6QtQ0GIHKRrViaR0u0zSVi3HMOIE9jl5QHjx8O6AHC2C1QYpwNFjmaMDjkwTelBjrMFOHZMXN6gra3ja+n1YvCTnw8UFKBFa8K2kzygNmFMsRV8fgHsChN21YUkGf6etKyd2y0GNg0NQGMjUFMD7N8v/jcQOP04qxXsyDFYd/FYuEaNATe0EoJCAbsngOO1bfAFw1ALIbAMg2AojIM294D2kbqFSCINONPz7LPP4oUXXuj3Bh944AHcd999/X5eolGmh5DUSuYCszFlEzweoLlZzHZ0+hNaWnBo7zGEm5thDvnR/pk8q4BdY4SqIA/DRw0Gk58PmM3iGmWRP7NZnMwxcrteL3b/dLOMQiSbdLjJibDPB1M4iBEGYE6JFoNVYXEIuMvV8b8ej/haarU4So5hxMxNMCj+hULie2toEIOeCKVSrIUaMUIcHTd4MFBaCpSUAHp9j9knuyeAmiY3jtm9MGmVGF2Sg+FFJtlmFklm6U/7PeCg59ChQzhy5Ei/d66qqqpD3Y9cUNATG0o9k0RKl2659t1xFlaA1tUKnUP807oc4ur0ra04u0CBHJ8LcDjEYMThADiu5xdWqcQ/tVr8UyoBvx+CzwfO5UFYEKBgGKiUbIdACyqVGERFgiqj8XSQw/PiH8sCGg0EtRqukAB/jgWK0lLkDhsMtqwUKC4WM1l9zJ7fU3Ba3+aHRsViwfgSVBfnZOy5gc6B8pOU7q3KykpUVlYO9OkkDclp5XGSmdKlW6594XWYZeDJL4In//QQ7BDP42iLB1XnDUdOcbuTsCCIXUZO5+k/h0Mstg4GxYAoko3hODEjo9WC0emg1uvFjJBOdzrAifxXrY5psc1uj2GNERcWx34M91RwPH5Q5hcc0zkw/VFND4mJHFceJ5kpHWo6BjyyimEArVb8s1qTtLciKY/hdAlOpUTnwMzQr1VA//vf/8Ldvv+XZIXOc3OYtCooWAYmrQrDrUbYPUEs390Ens/c0X3x4nkBtXYv9jU6UWv30meV5iKF1w0Of5dRrZHC6yqrUTbzISXiGI4Ep6OKc1Cep8/ogIfOgZkj5kxPOBzG+vXr8fTTT8PlcmHkyJH4zne+g/Ly8kTuH5EBOa3nlI4oJZ550m0+JDqG40OfX+aIOehhWRazZ8/G7NmzAQAHDx7EO++8g9raWuTn52P+/Pk444wzErajJHXSbfp+OYmkxE+6g8jRKpGjVYHnBeyso5R4ukv0ZHpSFszSMRwf+vwyx4BreoYPH45FixYBAOx2Oz799FP885//hFqtxpw5czB37lxoNBrJdpSkjhxnhk0HkZT4cbsXoRCPoyc9CPE8lCyLXJ0KnmBI0lW9SfIlqrZF6uwgHcPxSffPj0acnSbJN5SXl4cbbrgBN9xwA4LBINauXYtHH30UgUAA48ePx4IFC1BYWCjFpkgKpOt6TqlW1+bDt7WtaHb5EQoLMGqVUCmU4MI8mt0BKFgG3xxvpZR4mpO68DoRBbPJOoYztXFN53Mgda93JHlYqlarMW/evOhq6zt27MArr7yC5uZmFBcX45JLLkF1dbXUmyUJlG71C3Lh8nM4ftKLMM8j36iJnig1SgXUBhYn3QHU2r1w+XuZtyUBMrVhygSdC2YjvxmTVgWjRomDNveAsoPJOIYzuXFN13MgjTjrKqG5OEEQ4PP54Ha7sXz5cjgcDhw9ehRLliyhRUjTDC0G2H/uQAg+LgyTVtlt8aNGpYDLH4I7kLw6gExumDJBIgtmE3kMZ0Pjmm7nwEQF0OlO8qAnEAhg1apV+PDDD7F06VIUFhZi4cKF+Nvf/oYpU6ZIvTmSRNk4N0c8jFoldGoFAhwPo0bokhIPcDz0agWM2uTUAWRDw5TuEl0wG+sx3J9sYDY1rul0DqQRZ92T9Gzb1NSEUaNGYdSoUbj22mvx0EMPyXLJCTJw6TBxnFyYNCoMztOj1u6F3RM8VdPDggvzcPtDUCpZlOfqYNJ0LYyUWjY1TOksGQWzfR3D/c0GJrJxlWNXbLqcA2nEWfckDXqKiorw2GOP4dZbb4XJRFeMJLuVWXSYVJ6LAMcjxPNo9XJwB0JQsiwKTRooWRaTB+cmpfgxGVd9cmyg0k3nglkAcPlDCIZ5qFgGjU4/xg+yJOw3M5BsYKIaV+qKjU+6jzhLFMnf7X333Qee56V+WUJSrr+Nevvix5PuAAbl6qBgGYR5AS5/CPlGTdKKHxN91UcNlDTa/2a+Pd4GbzAEVyCEYIhHMMSj0KTBVVNMCfnNDDQbmIjGlbpi45fOI84SKSEhHtvHKr2EpJuBNuqdix+9wdCpxRktSS1+TORVHzVQ0qqymjB3lBV/WHUQza4A1EoGGqUC+UY19GolPt9nw5B8veSf6UCzgVI3rtQVK410HXGWaNmV1yJkAOJt1OVQ/JiIhqmuzQeXn8MH39bjpDuAEUUmaqAkwPMC9jW4UGLWYVK5BRwvQK1gYTpV8J6oz3Sg2UCpG1cqwJVOuo04SwYKegjphVRXnakufpSyYWqf9bJ7gzhkc8Nq0qDQpEWeQR19HDVQAxNp9Est2m6zcon6TOPJBkrZuFIBrrTkcNElJxT0ENKLTLrqlKJh6pz1UitZHG1xo83LYVttGyaWWzoEPtRA9V+qGv14s4FSNa5UgCu9VF90yQn9agjpRaZddcbTMHWX9RIEQKtSQqNk4AmEcKjZjVx9brTBbN9ApWp0V7qNKktVoy9FNlCKxpUKcEkiyTLo4Xkef/rTn/DRRx9BEAQsWLAA99xzD5TKnnf3oosuQltbW4fbbr/9dtx+++0J3luSyTLxqnOgDVN3WS+TVok8vRo2lx8GjRJ2TxAufwg5OlWHBsrHhfCnNYeSProrHUeVpbLRl0MNCBXgkkSS5Zn6pz/9Kf7zn//gd7/7HRQKBRYtWoS9e/fiz3/+c4/P2bp1K37yk5/g/PPPj942aNCgZOwuyWB01Xlad1kvhmFQaTXAFeDg9nMIC4CPC4FhEG2gRhab8PcNx5I+uivVo8oGmmFKdaMvhxqQRARf6ZbxI4khu6Cnrq4OL774It566y1ceeWVAACdTocrrrgCDz74IIYOHdrjc6uqqjBjxoxk7SrJAqlugJIllgahp6xXnkGDieUW7Kl3wuYKoMnpR65eg3FlZpxfXYQVe5I//DjVw57jzTClOuMihxoQKYOvdMz4kcSQXdCzevXqaJdWxPz586FUKvH555/jtttu6/G5zz33HP785z9jyJAhuO6663DRRRclY5dJhhtWYMRFY4uxam8T6tp8UDAMtKrMGfYZa4PQW9YrV69GoUmLMypycdmkMpg0KpRZdCmbCTqVBehSZZjkkHFJNSmCr1Rn/Ii8yC7oOXbsGHJzc6HTnU6hazQa5Ofn49ixYz0+b8SIEbjppptQVVWFL7/8Epdffjkef/xx/OxnP+v28YFAAIFAIPpvp9Mp3ZsgGaN9QODjQoAAWHO0OH+0FTMrC9K+AepPg9BX1ivfqMbVU8o7NCCpmgl6eLExJQXoUmeY5JBxSWepzvgR+ZFd0MNxHDQaTZfbdTodOI7r8XmrV6+OPu/888+HyWTCL37xC9x1110wGAxdHr948WI89thj0u04yTidA4LSUwFBg8OP/+1qRLFZm9ZXiANpEPrb7ZKqmaAPNLkQDPFJL0DPpCkOMgF9H6Qz2a0XkZeXB7vd3uX2kydPIj8/v8fndQ6Uzj//fASDQezbt6/bxz/00ENwOBzRv9ra2vh2nGSUzgGBSauCgmVg0qow3GqE3RPE8t1N4Hkh1bs6YCdavdhR1watkoXLH4IgnH4vnRuE9qqsJtx1TiV+Om8E7j1vOH46bwTunFPZbQAY6RJrcPg7vD5wuhC8ymrsdyF4X99PIMQjwPGob/NJut2+nM5sdR9M6dQKBELhtJniIN3R90E6k12mZ/LkyQgEAti5cyfGjRsHANi/fz+cTicmTZoU8+s0NjYCQLdZHkAMkrrLKBECZP4VYo3NhX9sPI5dJxzQqlmoFArk6dWotBqQZxCPi966gGLtdklUIXhf30+pRYvjdi80KkVSC9AzcYqDdEbfB+lMdpmemTNnorq6Go8//jh4nocgCPj1r3+NyspKzJkzJ/q4efPm4ZVXXgEAfPnll1ixYkX0vsbGRjz88MOYOHEiRo0alfT3QNJfJl8hRrqFjpx0Q6tWwKhRQatiYXP5sa22DXaPWOsmVYMQ6RIbW2pGqyeIPfVOHDvpQXmeDjefObAi0li+H42SxYJxJRhbakabl8PRFg/avBzGlZkTVrzaPrPF8zycPg4t7gCcPg48zycswxQrnhdQa/diX6MTtXavLDOVUu5jojKNJH3JLrxlWRbvvPMOLr/8cpSUlIBhGBgMBrz33nsdJifcsmULZs2aBQCoqKjAvffei+uvvx7FxcWoqanBeeedh5deeilVb4OkuUy9QmzfLTS+zIxgSECzS8x85BnUsHuCONTsgUWnknQOoiqrCfwYAQ4fB6c/hBAfxtFmD/616fiAisJj/X6qS3JwfnVR0kZARTJbexud+GxPE8LtGmwFy2BEkSllUxykw7BtqfcxW6acILGT5Rl7zJgx2L9/P/bu3QtBEFBdXQ2W7ZiUWrlyJYqLiwEA5eXl+OCDD9DW1oba2loMGTIEOTk5qdh1kiEydVLC9t1CLMuiymqEOxCC3ROEUauEXiN2ae2oc2BQrl6yBqHG5opOUGjWKVHfFsKJVg+21zmw9oAN546y4vrpg2Nu2Prz/aRsBNSpeIeBAAFM9N+pkA7DthO1j6me84jIiyyDHkDslx89enSP90+ZMqXLbRaLBRaLJYF7RbJFpl4hdh5CnmdQY2K5BTU2N1q9QXBhHn4ujKEFBtwwY4gkDUL77FK+QY3tJxzwncrQ5OpVaHEFsO5gC/wcj++fFVvDJtfvJ/Jew7yAC8cUwR0IIxjmoVawMGoUqGn2JH2IdDoM2070PtKcRyRCtkEPIamWiVeI3XUL5RnUmFqRC5c/hFZvEL5gGLfOGooh+d0PAuivSHapOEeDfY1u+IIh5BnU0YbNYlDDFwyjrs2Lz3Y1QTWBhY8L99kwyfH76ZxJy9F1zFCnogA+HYryk7GPNOcRASjoIaRXmXaF2FO3EMMwMGmVaHT6MaHcgvJc6RqHSHbJyCvR6g3CqFV1aNhUChYeIQQly+KTnfXYcaINCgUTUz2H3L6fRE/GmCn71Fk67CPJDBT0ENIHqa8QU7nwYSq6hSLZJaefQyjMQ6XteNrhwjxCvIDjdg9c/hBGFJkwKFcfcz2HnK7g5VgAL8d96iwd9pFkBvoFEZJEchhBM5BuoXgCtUh2afPRk1CyDLiwAI1SfK4gCHD5QwiHBfC8AItOhVy9OjrRoFxqTmIlxwJ4qfcpEUG7HD83kpko6CEkSeQ0gqY/3ULxBmqR7FJdmxcNDj9aPUEUmtQI8QLc/hCULIMwCwgCgzyjBqZ2maDO9RyRxURT3ZXVU8Of6gLrnvZLqn1KVNCe6s+NZA9G6DxjU5ZyOp0wm81wOBw03J1IjucF/GnNIeyqd3QYnQKIV7IHbW6MKzPjzjmVsjqxdw3UlNH1x/IM6n4FajU2F/711XGs3m8TC5U1ShSaNDColdhd70CBUYNJg3ORZ1B3eF6I53G0xYNLJ5XhYKM75fPMxNLwt39MICR2zVRZjQktsO5rv+LdJyl/C7G8h8g+VhYaMb7cHP2tpHNNHUmM/rTfFPScQkEPSaRauxfPrTgAi17Vbc2Cy8+hzcvhp/NGyKY+JRGBGs8LWH+oBav2NqHB4YeCYRAWBNTafRhVbER5XtcRYy4/h+N2LwxqJYJhPmENbiz60/DH2w3Un+fHul8D3adkBO2RfXMFOLj9IRg1Stg9QWw73obDLR7ZTqhIUq8/7Td1bxGSBOk4OiURw4hZlsHs4YWYVVkQbXz1KgU+2laP3Q1OCILQpUGtb/MhEOKhZHmMKErdPDP9nUsmngLr/nQj9Xe/BrJPiR5S3t37tehUsLkDCPNCyruDByqVgxZI9yjoIUmXjSeCdByd0j5QixQcRybaM2mVcQVqnRvfi8YVo8Hp77aeQ6NSIMQLKLWkdp6ZZM130z5rU5yjhZFXwuXnsPnoSdS1+bpM4Hh6HiRth+/IqFHAHQhDo2SxvbYNta3eAc+9lMigvbtaN0+Aw7pDLfAFw5gzoiB6zPQV6Mrp3CKHQQukK/mcYUlWyNYTQTqOTokEavVtXjQ6ArB7gwjxPJQsizy9GsVmTYdALZ4Gp7cRZVVWIz7YVtfr4qJNTj9cfg61dm/CGrxkZOs6zl6twv5GV/RzVzAMGtr80KpYPLxgdPS9eYIhtLgDqG/zoc3HIcTzCPMCwmEBCgUDlmHg58J4ff2RAc+ynaigvacsFcCABaBggMMtXuQZNB3mlOouwJTTuUVOgxZIRxT0kKTJ5hNBOo5OKbPoYNGrsGJPE9QKBiadCiqFElyYR5PTh9pWL+aNLkKZRSdJg9PTiLK6Nh+W7WrstcENhHh88G09WtyBhDV4ycjWRbI2OhV7armOMIxaZfRzb/UEsXqfDXNHWXHW8EIAQIsrgFq7F4IgwGJQIxRm0ODww8+FoVWxKDCqoVUpcKTFg9fXHx3QcZaooL2n7Fnw1NxNOXoV7J4gXP4QcnSnP/POAaaczi3psOxHNmP7fggh8et8IjBpVdG5WIZbjbB7gli+uwk8n7l19ZFsxthSM9q8HI62eNDm5TCuzCzfgC/ydXTqzon8mwFQY3Pj9fVHsaveAYtehWEFRlj0Kuyqd+D19UdRY3PFvLlIt9eo4hyU5+nBsky0wW1w+NF53EWkiLbZFcBxuyfu7femr/1ocPhRZTXGla3zBEPwcWHUt/nhC4aRZ1BDo1SAZRholAoUmjTwcWGs2msDz4tzG2073gaVkoVCwULFMmjzBsELAnK0SvC8gGZXEEUmLcaXmQd8nEWC9jyDGgdtbrj8YkbJ5edw0OYecNB+OnvWMVBUK1goFSwYMAjzPIJhvsP97QNMuZ1b+tMNSpKPMj0kKdJh/Z9kiGQzTrR6cbjFAwAYWmCQdNkHqdSd6i6ZWpGLBkcArd4g3AFxuYiiHC2KczSwe4J49+vahF7V9pYlq2/zw+njkKNVYUSRKaFX1cnI1hnUSvCCgGZ3ACatssuxEuIFGDRK1Lf5oo3m4RYPxpbm4KDNA5srAE8wDLWCBQ+AF8TAtMgsdg8ZNUp8fcyOrcdyMWVIXr/2NRFrnfWUPTNplcjVq1Hf5oNWxUKtOH193jmzJLdzSzoOWsgmFPSQpKATwWmHW9yyqT3oTeQ7G1ZgxKBcfZdC5rAgYE+9A04/hyH5hoQ2OD01uIPzdQjxPAbn6Xvdfm2rFyzDxF3vk+hFTsssOpSYtdhe24ZcfccuNEEQJ3MsMGqgYBE9ViLfkUGjwvYTbTjpCUIQBChYFkatEopTs2BvPdqKFk8ATh+Hl9cexpbBrf3+zUm91llva8FVFhpwotULMakmIMTz3QaYcju3pOOghWxCnzpJCjoRiORUe9CXzt9Z+5oKAPAFQmAZFmFB6LPIWIoGp7sG1xXg8OLnNb1uX+x+OwKnLyRJkJnIRU5ZlsF51UVYu78Zza4gcg0qqBQsuDAPtz8EnVqJMosWABM9ViLfUZ5BjcnlFnj8IaiU4oKtAODwczjY5EKYF6BWsjDrVMgzqAb8m5NyrbPesmcnPUFMKLfAatKgzcvB5gp0G2D299yS6BFe6ThoIZtkdgtDZINOBEAoxOPtLSdw7KQHVYXG6Ocg1wLHWL6zKqsRNqc/acFs5wa31u7ttcFraPOh1u4FwwCVhUbJgsxELnI6q7IA5460Yt2hFviDYbhPrUBvzdFiWIEBJz3BDsdK++8oR6eCNUeLZpcfKg0Du5dDOCwgxAjI06vQ6uVgzdGixCw+Vw6/ub6yZ8MKeg8w+3NuScYIr3QctJBNKOghSZHtJ4Iamwtvb6nF/3Y1QsEyaHEHkatXo8pqRJ5BLcu6pli+s++eUYYVu20pC2Z7a/B4nseueidUChbjy8xgWbEuJBFBppTZA5ZlcP2MwfCHwqhr8yFXr4ZJq4SSZdDoDHQ5Vjp/RxUFetg9ARxv9cGgVoBlAY2SRauXg06tRGXh6dorufzm+sqe9bZvsZ5bDre4k5ZlTXQ3KBk4CnpI0mTriSDSpXXspAcKFsg3qhHmgWaXH+5ACBPLLcgzqGVZ1xTLd8YyTMqC2d4avEPNbnAhHpMGW6IBT4TUkwlKnT2osprw/bOGRl/X7gn2eKx0/o4CoTDK8/SwhnhwYXHdMo1SgDVHi8pCY4e1zeT0m4snexZLtuhPaw4ldRh5IrtBycBR0EOSKttOBO2H01YVGtHiDiLMC9AoFVAb1LB7gjjU7EauPle2dU19fWepDmZ72v6wAiMEASi1dN+QStHgJ7JGqz/HSnePLcnR4pvaVry89jDyDCqUmHVdir3l+psbiN4+r1q7NyUjvBLZDUoGJv1/6STtZNOJoP1wWqNGiTy9GjaXH2oDKw4h1oqLKjp9HJpcAdnWNfX1naU6mO1u+4Ig4PmVB7vU+0SW1Gj1BhEKC9CpFAPaZjImoevPsdLdY6cMycOWwa3YVe/o8vhMrKXr6fOS2wgvkjoU9BCSQO1PtgzDoNJqgCvAwe4JRocT+7kwaprdGJJvSOu6plQHs523z/NCl3ofuyeIGpsbrZ4AWn0cCgxqLN1ej4vGFvc7IyO3+WG6k+21dBE0epRE0IzMhCRQ+5MtAOQZNJhYboHVpIWf43Hy1CrSY0plPCtzmuo8i3Ct3YNvjreivs0HPxdGgVGNkcUm7K53Dmjm5p5mE47QqRUIhMIpzx6k5UzgEkvGbNokPVBYS0gCdTe6KM+gQW6FGk4fh5pmN0aX5uD+C0ZCqaRrEKlFGvxlOxvx6a5G2D0BmHUq5Bs1qCw0IM+giS5l0d+uqHTKHqS6+zHVKONFIlJ/NBKSwXo72Ta5AhiSb8DVU8op4EmgKqsJCyey2FnvwMgiIyynhoD3tWp3d9oPTderFBhWYMDuBmdazD2V6u7HVEt1wT2RBwp6CEkwOtmmnpcLQ8EyKMvVQ9HN1XwshazdDU236MXFLdMhe5DomYjTQbZnvAgFPYQkBZ1sUyverqiehqY3OPxQsAxKcrRo83KyDWiTMRNxMsUTwGV7xivbUdBDSJLQyTZ14lkGJZah6flGDW6eVQEfF5ZdQCv1XEKpzhhlWgBHkouCHkJIxounkDWWoemHmt1gGQajinNSHhS0J/VcQqkOONJpwV4iTxT0EEKywkBrq/ozsV2qg4LOpJxLKNUBRzImgySZj4IeQlKsv5kBOWUS0s1AaqtirQdqcvrx3jd1OOkOoMSsxdB8A3xcOKVZCE8wBB8XgjGsRIs7ALWC7TByLdaZiOUQcKTDZJBE/ijoISSF+psZkFsmIR31t7YqlnqgkhwN/vrFYRxu9kCvVqDFHUSuXpzwbrjVmLIsRLMrgGMnfTjQ5AYDQKlgkatXo8oqLjwa61xCcgg4aCkJIgUKeghJkf52F6S6eyFb9VUPpGAZHLV7cbjZA4teBYNGCS4soNnlhzsQwsRyS0qyEDU2F/63sxGhMI9wmEeBSYMQj+h+TRhkxklPMKa5hBIRcPQ3Y5lOk0ES+aJfByEp0N/ugmR2L1D3WVc91QONLc3BSU8QB5qC0KlZGDRKsAwDjZKB2qCG3RPEoWY3Jpabk7okReT30uoNYtrQXGw/4UCbl4NRq4RFr0KzK4jNR+2YMiQ3prmEpA44BpKxjGcEHiERFPQQkgL97S5IVvcCdZ/1rLeV3EvNOrS4g+DCPDRKcdV2hmFg1Cph9wTR7AokNQvR/vdi0qowsZzBIZsHdm8QYZ6HUsFAxTK4eFxJTN+rlAHHQDOWtJQEkQIFPYSkQH+7C5JRz0DdZ6f1lO3qXA+0r9EJfyiMofkG5OnVsLn8UBvYaFCgUrBw+8VJDGdWFiQtC9H59xJZ783lDyEY5qFgGLS4AygwaWJ6PakCjngzljS7OYkXBT2EpEB/uwsSXc8gh9E5ctGfbFfke/FxYVRaDXAFONg9QRi1SqgULDyBELzBMPKNmqRmIbr7vTAMgxyd+P8uPwetqn+/FykCDikyljS7OYkHBT2EpEB/uwsSXc8gh9E5ctDfbFf772W41YiJ5ZZoN5Lbz8Eb5FFlNeKecyuTmoVI1O8l3oBDqowlzW5OBoqCHkJSoL/dBYmuZ6DhwAPLdnX3vUwcbEGzK4AGhw/5Rg3uOacKI4qS2+2SyN9LPAFHOo3AooL+zJT6XxYhWaq/3QWJrGdIp8YoUXrKdgmCAJc/BI2SxfbaNtS2ejEk3xC9v/P3EgiJ38vMyoKU1pnIsf4lXUZgUUF/5srcMxghaaC/3QWJqmdIl8YokbrLdtk9QdTY3Gj1iiOz/FwYr68/ghtmDOnQ+Mm1zkRu+5UOI7CooD+zUdBDSIr1t7sgEfUM6dAYJVrnbJfdE8S22jb4giEYtSqoleJ7P9Liwevrj3Zp/ORaZyK3/ZJjBiqCCvozHwU9hBAA8m6MkqF9tsugVqDG5oYvGEKeQQ0AsHvCKMrRYnyZGTXNHmr84iC3DFQEFfRnPgp6CCFRcm2MkqF9tmtHnQM2lx9GjRLBMA+3PwSdWoHKQgNYlqXGTwJyy0ABVNCfDdhU7wAhRF4ijdGo4hyU5+mzIuCJiGS7huYb4Q+G4Qlw8HM8rDlaTCy3IM8gTuanUyuSuqwESY72XZzdyYaC/kxH3xwhhLRTZTXh+2dVoMHpg16lgEWvhknbsbibGr/MRAX9mY8yPYQQ0smgXD3Gl1ngD/FdAp5I41dlNVLjl2EiXZx5BjUO2txw+TmEeB4uP4eDNndWFPRnOgp6CCGkE2r8sleki3NsqRltXg5HWzxo83IYV2am4eoZgBEEQUj1TsiB0+mE2WyGw+FATk5OqneHECID7SepC4TELq0qqxHnVxdBp1ZkXbF3NqEZmdNHf9pv6pAmhJAedDeazceFsGI3zdab6eQ4uozEj4IeQkhSpOuVc/vGr8bmwt83HKPZeglJUxT0EEISLhPWMqLZeglJf1TITAhJqMhaRrvqHbDoVRhWYIRFr8KuegdeX38UNTZXqnexTzwvYOsxO745bodJ0/VasfNsvYQQeaJMDyEkYTIhOxLJUn1zvBW7650w61Q40apBpdUQnawQoNl6CUkHFPSQtJOutSHZKN3XMmq/4naeQQWzTgUFy8Dm8sMV4DrM0kwTFhIif3R0krSSCbUh2SSd1zLqnKUCgBOtfjS7/MjVq9Dq5XCo2YNcvbggKc3WS4j8UdBD0kb7q24aOZMe2q9lZNKqutwv5+xId1mqKqsR7kAIrV4OaiWLFncADQ4/3IEQTVhISBqgQmaSFjpfdZu0YjeDSavCcKsRdk8Qy3c3gedprk05iaxl1ODwo/M8qHJfzuF0lup0QJZnUGNiuQWFJi1CvACnj4PdE6DZeglJE/K7vCKkG+leG5KtIss51Dt8OGgTvz+dWgFfMIwGh1/W2ZGeslR5BjWmVuSiweGD3cPhh3OGYcqQPFm+B0JIR5TpIWmhu6vu9nRqBQKhsCxrQ7Jduq5l1FuWCgDcgTDOGJJLAQ8haYQyPSQtpHNtCOl+OQe5j7pL5ywVIaR71EKQtBC56t5V74BRo+zQxRWpDaGRM/KWjmsZRbJUkRGDTU4/NEoFxpWZccEYGjFISLqhoIekBbrqJqmSjlkqQkj3KOghaYOuukmqpGOWihDSlSyDnmAwiMWLF+Ojjz6CIAhYsGABfvGLX0Cr1Ur6HJJ+6KqbEELIQMky6PnhD3+Izz//HC+//DIUCgV++MMf4tChQ/jXv/4l6XNIeqKrbkIIIQPBCN2NxUyhI0eOoLKyEkuXLsWCBQsAAJ999hkuuugi7Nu3DyNHjpTkOZ05nU6YzWY4HA7k5ORI+6YIIYQQkhD9ab9lN0/P2rVrwTAM5s2bF73tvPPOg1qtxpo1ayR7DiGEEEKyi+y6t2pra5Gbmwu1Wh29TalUoqCgACdOnJDsOYFAAIFAIPpvp9Mp0TsghBBCiBzJLtPD8zxUqq6Tz6nVaoTDYcmes3jxYpjN5uhfeXl5fDtOCCGEEFmTXdBTUFAAu93e5faWlhYUFBRI9pyHHnoIDocj+ldbWxvfjhNCCCFE1mQX9EydOhXBYBBff/119Lbt27fD7XZjypQpkj1Ho9EgJyenwx8hhBBCMpfsRm8JgoCpU6eisLAQ77//PhiGwZVXXomjR49i+/btYFkxTps8eTJuueUW3HfffTE/pzc0eosQQghJP2k9eothGLz77rtobW1Fbm4ucnNz0dDQgPfff79D8HL48OFol1aszyGEEEJI9pJdpqc9m80GQRBQVFTU5b4jR47AbDYjLy8v5uf0xuFwwGKxoLa2ljI9hBBCSJpwOp0oLy9HW1sbzGZzr4+VddCTTCdOnKARXIQQQkiaqq2txaBBg3p9DAU9p/A8j/r6ephMJjBMZqzjFIl+KXslb/Q9pQ/6rtIDfU/pQarvSRAEuFwulJaW9lnSIrvJCVOFZdk+I8R0RaPT0gN9T+mDvqv0QN9TepDie+qrWyuCqnwJIYQQkhUo6CGEEEJIVqCgJ4NpNBo88sgj0Gg0qd4V0gv6ntIHfVfpgb6n9JCK74kKmQkhhBCSFSjTQwghhJCsQEEPIYQQQrICBT2EEEIIyQo0T0+GCQaD2Lx5c5fbR48e3WXJDpJ8gUAAX3/9NYqLizFs2LBuH+N0OnHgwAFYrVYMHjw4yXtIInbu3Amv14vp06d3uW/Tpk3gOK7DbYMHD6bvK8l4nsfBgwfBMAyGDh0KlUrV7eNOnDiBxsZGVFVVwWKxJHcnCQCgsbERjY2NGDZsWJc5eVwuF7Zv397lORMnToTRaJR2RwSSUWprawUAwuTJk4VZs2ZF/7744otU71pWO3nypHD//fcLpaWlgl6vF+65555uH/fHP/5R0Ol0wqhRowS9Xi9ceumlgtfrTfLeZrfXXntNmDhxopCbmyvk5+d3+5j8/Hxh5MiRHY6xV199Ncl7mt2eeuopoaSkRBg1apQwdOhQoaSkRHjvvfc6PCYQCAjXXHONoNPphOrqakGr1QrPPvtsivY4O61Zs0aYPn26UFRUJEyYMEHQ6XTCvffeK4TD4ehjNm7cKAAQzjzzzA7H1L59+yTfHwp6Mkwk6Nm7d2+qd4W0s2PHDuGpp54SbDabMH369G6Dni1btggMw0RP3A0NDcKgQYOE+++/P9m7m9X+7//+T/j666+F5557rteg59///neS94y094tf/EKw2WzRfy9evFjQaDTCsWPHorc9+uijQnFxsXD8+HFBEATh008/FRiGEdauXZv0/c1Wr7zyirB58+bov3fs2CEYjUbhhRdeiN4WCXpcLlfC94dqejLUsWPH8M0338DpdKZ6VwiAcePG4cEHH0RhYWGPj3n99dcxZswYXH755QCA4uJi3H777Xj99dch0MwSSbN48WJMnjy5z8fZbDZs3boVzc3NSdgr0tkTTzzR4Xi66667EAgEsHXr1uhtr732Gm655ZboYtLz58/HGWecgddeey3p+5utbrvtNkydOjX673HjxuGss87CunXrujz24MGD2LZtGzweT8L2h4KeDHXLLbfgpptuQkFBAW699daE/oiINL799lucccYZHW6bNm0aWlpacOLEiRTtFenJr371K9x+++0YMmQI5s2bh9ra2lTvUlbbsmULAKCqqgoAYLfbcfz48W6PqW+//Tbp+0dEgUAAO3fujH5P7V166aW49tprkZeXh0WLFiEcDku+fQp6MoxWq8W7776LhoYG7Nq1C9u3b8f//vc/PPDAA6neNdIHu92O/Pz8DrdF/m2321OxS6QHTz/9NE6ePIlt27bh6NGjcDgcuO6661K9W1mrtbUVd911FxYuXIjx48cDOH3MdHdM0fGUOv/v//0/+Hw+3HPPPdHb8vLy8Pnnn+P48ePYt28f1q5di7/85S945plnJN8+BT0ZpqCgAN/97nej/66ursZPfvIT/Oc//0nhXpFYqFQq+P3+Drf5fD4AgFqtTsUukR7cdtttUCgUAACr1Ypf//rXWL9+PWV7UsDtdmPBggUwm8144403ordHRnJ1d0zR8ZQaTz75JF5//XW89957KCsri94+YsQInHvuudF/z5gxA7fccktC2i0KerJAUVER7HZ7l4OfyMuQIUNQV1fX4ba6ujowDBOtSSDyVFRUBABdvj+SWG63G/Pnz4ff78fy5cthNpuj95WWlkKlUnV7TNHUAsn31FNP4cknn8TSpUsxZ86cPh9fVFSUkOOJgp4M013tzvLly1FZWQmtVpuCPSKxmjdvHj7//PMO3+GHH36IGTNmSD9XBRmwno4xlUqFkSNHpmCPspPH48HFF18Mj8eDlStXdpmHTKVSYc6cOfjoo4+it/n9fnz22WeYN29esnc3qz3zzDP49a9/jaVLl2Lu3Lld7u/umFqxYgXGjh0r+b7Q5IQZ5ve//z1qamowf/58GI1GfPDBB3j33Xfx1ltvpXrXshrP89iwYQMAcSKuhoYGrFu3DgaDAZMmTQIA3H777fjjH/+ISy+9FPfeey82bdqE9957D8uXL0/lrmedPXv2wG6348iRIwiFQtFRJpMnT4Zer8fKlSvx0ksv4brrrkNJSQm+/PJL/Pa3v8XDDz+M3NzcFO99dgiHw/jOd76DPXv24LXXXsOePXui91VWVqKkpAQA8Pjjj2POnDn42c9+hrPPPht//vOfYTQacffdd6dq17POSy+9hAcffBCPPfYYNBpN9Hgym80YN24cAOCBBx4AwzCYO3cuWJbFm2++ia1bt2LFihWS7w+tsp5hBEHAu+++iw8++ACtra0YPnw47rrrLowaNSrVu5bVfD5ft1eXw4YN61CHYLPZ8NRTT2H79u2wWq24++67MXv27GTuatZ78MEHsX79+i63v/nmmxg6dCgAYN26dfjb3/6G2tpaDBkyBN/73vdiStkTafR0PAHAokWLcMUVV0T/vWnTJixZsgQNDQ0YM2YMHnzwwQ71JCSxejqexo8fj5deegmAGMT+/e9/x7Jly+Dz+VBdXY177703Id36FPQQQgghJCtQTQ8hhBBCsgIFPYQQQgjJChT0EEIIISQrUNBDCCGEkKxAQQ8hhBBCsgIFPYQQQgjJChT0EEIIISQrUNBDCEmI999/H8ePH0/a9pYuXYojR44kdBvJfk+EEGnR5ISEkAH79NNP4XQ6u9x+zTXXoLCwEC+++CKuvfZaAMB7772HadOmYdCgQdHHdXfbQFVUVODRRx/FLbfcEvdr9aSgoKDDeyKEpBdae4sQMmCLFi0Cy7IYP358h9uvvvpqXHHFFRgyZEj0tu9///t45ZVXcOWVV/Z6GyGEJAoFPYSQuCxcuBBPPfVUl9vnz58fXePok08+AcdxWL9+PUKhEDQaDdRqdZfbLr/8cgBAIBDAxo0b4Xa7MXbsWFRUVHR5/fr6emzZsgWDBg3ChAkTet3Hzz//HBaLBZMnT+5w+6pVq5Cbm4vJkydj2bJlaGtrA8MwKCsrw6RJk2AwGHp8zVAohHfffRfz5s1Dfn5+9PaPPvoI48aNi67TFcv7EQQBW7duRUNDA0aNGoURI0b0+n4IIQNDQQ8hJCHuuOMOvPjiixg8eDBWrFgBjuOwZcsWNDQ0ICcnB3q9vsttl19+OTZt2oQrrrgCpaWlKCoq+v/t3V9IU20cB/Avhpq2VnHw77rIvNhFUeSfkAqUmXTREEoo1FLKLiTzRizwIrrIhArU7ErFhugwcoiwsETNPzNGiGWkIKxALDAUQY+bTcb2dBHv4T22ZalvvHC+H/DC3549e37nxi/nPHuE0+lEcXExamtrlbk7OztRVFSE1NRUBAIB+P1+uN3ukGsZHByE3W7HxMSEUvN4PMjNzYXFYkFKSgoGBgbw+fNnBAIBuFwuzM/Po7u7G+np6UHn9Hq9yM/Ph9PpVIWe69evo7q6Wgk9G/Xj8XiQk5ODubk5HD16FC6XC8eOHUN7e/tWLj8RBSOIiDbJaDSK3Nxc0dHRofyMj48LIYSQJEl0dHQoY/fs2SM6OztV719f83g8Ij4+XjQ3Nyu1L1++CEmShN1uF0IIIcuykCRJPHz4UBlz584dAUBYLJag65yenhYAxOTkpFJra2sTer1efPv2Leh7qqqqREZGhqr2755WVlYEAOF0OlVjDAaDso7f6efp06ciISFBeL1eZUxXV1fQNRHR1vBODxFticvlQnd3t/L7mTNnfnqM9LtevnyJxcVF6PV62Gw2CCEghEBSUhIGBwdhNpsxMDAAt9uN8vJy5X2VlZW4e/duyHmNRiNSU1NhtVpRU1MDALBarcjLy8POnTuVcTMzM5iensby8jKio6MxPj4Ov9+PHTt2/Gf9REVFYXV1FS6XC4cPHwYA5TEfEW0vhh4i2pJQe3o2Y2ZmBhEREejq6lLVk5OTcfDgQQDA7OwsEhISEBkZqbyu0+kQExPzy7kLCwvx6NEj3Lt3DwsLC+jv70dvby+AH3tqrl27hmfPnuH48eOQJAmyLMPn82FpaUn1+Gq7+zGbzbhy5QpOnDiB/fv3Izs7G6WlpTh06NCmPpOIQmPoIaL/Db1eD5/Ph7a2NoSHhwcdI0kSlpaWVDUhxE+19fLz83Hz5k28fv0a7969Q1xcHLKysgAADocD7e3t+PTpk/L1+X9CkQhxqkdY2I9jzgKBgKru9Xr/qJ+wsDDU1dXh/v37GBsbQ2trK9LS0jA1NaUEIyLaHjyckIj+Cp1OpwoEwWqnT5+G3++HxWJRjfP5fFhYWAAAZGRkYGVlBUNDQ8rrPT09WFtb++Xnx8fHw2QywWq1wmq1oqCgQAkuX79+xe7du5GYmKiMt9lsv5wvOjoae/fuxcePH5Xahw8fsLi4+Ef9zM3NQQiBiIgInDx5Eo2NjRBCqDZdE9H24J0eIvor0tLSlD/oOp0O586dC1p78OABbty4gffv3yMlJQWzs7Ow2Wx4/PgxTCYTkpOTUVpaigsXLuDWrVsIBAJoaGhAVFTUhmu4dOkSysrK4Ha70dTUpNQzMzPh9/tRWFiInJwcOBwO1T6lUIqKilBVVQVZlrG2toaWlhbVHqEDBw5s2E9/fz/q6+tx/vx5GAwG9Pb2Yt++fTh16tSmrjMRhcY7PUS0aWfPng15Rs76wwmbmpqQnZ2Nvr4+vHjxImStoqICo6Oj2LVrFxwOB8LDw2G322EymZS5GhoaUFNTg6mpKciyjL6+PpSUlKjOxgm1JrPZjLKyMtWBinFxcXjz5g0MBgOGh4dhNBrx6tUrXLx4UbV3aH1PtbW1uH37NiYmJiDLMp4/f46rV6+q1rFRP5cvX8aTJ0+wurqKkZERHDlyBG/fvkVsbOyG15+I/gz/DQURERFpAu/0EBERkSYw9BAREZEmMPQQERGRJjD0EBERkSYw9BAREZEmMPQQERGRJjD0EBERkSYw9BAREZEmMPQQERGRJjD0EBERkSYw9BAREZEmMPQQERGRJnwH0CbsR1KZWv0AAAAASUVORK5CYII=",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"cls.scale_location_plot();"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**D. Residual vs Leverage**\n",
"\n",
"Points falling outside the Cook's distance curves are considered observation that can sway the fit aka are influential.\n",
"\n",
"Good to have no points outside these curves."
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"execution": {
"iopub.execute_input": "2026-07-28T12:13:23.440505Z",
"iopub.status.busy": "2026-07-28T12:13:23.440217Z",
"iopub.status.idle": "2026-07-28T12:13:23.810697Z",
"shell.execute_reply": "2026-07-28T12:13:23.809075Z"
}
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"cls.leverage_plot();"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Cook's distance curves can be drawn using other rules of thumbs:\n",
"\n",
"| Rule of Thumb | Threshold(s) |\n",
"| :----------- | ----------- |\n",
"| `'baseR'` (**default**) | $$D_i > 1 \\mid D_i > 0.5$$ |\n",
"| `'convention'` | $$D_i > { 4 \\over n}$$ |\n",
"| `'dof'` | $$D_i > {4 \\over n - k - 1}$$ |\n",
"\n",
"A high leverage guideline can also be displayed using the convention: $h_{ii} > {2p \\over n}$."
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"execution": {
"iopub.execute_input": "2026-07-28T12:13:23.813065Z",
"iopub.status.busy": "2026-07-28T12:13:23.812804Z",
"iopub.status.idle": "2026-07-28T12:13:24.159012Z",
"shell.execute_reply": "2026-07-28T12:13:24.158087Z"
}
},
"outputs": [
{
"data": {
"image/png": 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ntpCOpCfaFIlEIhkSKWwkE8KCiiChTwTY3ZEgljbwuxzMmuBGeHkVXHfcAb/5DTzzDDz+uLi9916YObNb2Nx5p/DkfOpTMEQXTYlEIpHkjhQ2kglDVRWqS3wTbUYv8iq4iovh7LPFYtuwZQs4eyTf/vSnsH69uL9oEXzykyKc9YlPwKxZeXk9kw3LsieVmJVIJNMPKWwkkj6MieBSFJGb05O//Q3+/W+xPP883HKLWP7zP+HnPxf7PP+8CGMtWTLlK642N0Wy3rCkYcquzhKJZEyQwkYy7bEsm13tcba2xACYV+anutg38Z6C5cvF8s1vgmmK/jgvvghHHNG9z5e/DJs3Q2kpHHmkWFatggMPBI9n4mwfIf3HaHiJpw3W1nVS15mQXZ0lEknekMJGMq3Z3BTh7jd28vrWVjrjOrYCRV4Xh80r4fzDaibPxVTT4IADxJLBtuGqq4TYeekl+Mc/xALwgx/Aj38s7r/6KlRVwdy5k9Krk+nq3BZL9xqjEfQ4CbgdbGqK8tS6RkJlgYkXmxKJZMojhY1kUpHPHIzNTRF+9cwmPqjtQFOgNOhCQaEjrvP0+kaaoikuX71w8oibvigKfOlLYgGoqxMi5rXX4NOf7t7vggtg+3Yxqfyww8Ry8MFw0EFQWDghpvdkJGM0JlvOlUQimXpIYSOZNOQzB8OybJ5Y28DGhgguTaE04M5eVGcUqLTG0mxsjPDk2gZCn5ginoKZM+Gss8SSwbLg8svh9deF4Onp1bnhBvjhD8X9Rx6BkhJYsQL8/nE1u29X5754XRqN4eS4j9GQSCTTEylsJJOCfOdg7O5IsGZ3J6ZtE/Q6e3kKFEUh6HEQSRp8uKtzansKVBW+9S2xgOif8+abYmL5iSd27/f1r8OuXWL/ZctEjs4BB8Dq1bB06bCnKVtSxtfWfo3iUPGITZysYzQkEsn0RH6TSCacscjBiKWNrvEINs4BxgBk1sV1Y3p5Cqqq4PTTxZLBtuG//1uInbffhnfegTVr4C9/EZ2RM8LmZz8Tt5lcn4qK7CGcXicVy7ofj4RMV+e1dZ0E3I5eIjPT1XnfWYXjPkZDIpFMT6SwkUw4Q+VgAATcGu/saOftHW0cNKckJ3Hjdzm6Jogr6KaF26H12q6bYsSBz+kYE0/BpOrXoihwzjliEcbBpk1i1EPPZOVf/1qMiMgwcybsuy9cfDEdh53Aiz9+kaN/cBRFc0fmtRl1V2eJRCIZBVLYSCacvjkYtm0TSRo0R1PUdSSIpgzCCZ1bXtjCWzXtOeXczCrysu+sQrY1x4gkdFwBNSuaMsfXVIX9ZuffUzDp+7WoqphEvs8+vde/9ZYQO+++K24//BCefBJWr8ZYYdC8rhnji1+G9k2w335i2XdfEdqaPXvIiqzJOEZDIpFMT6SwkYwZuXoteuZg6KbN5qYoDeEErdE0tm3jdWr43BqlfnfOOTeqqnDi8ko2NET4oLaDxnCSQp8TUOiIpdFNi4UzguxfXZTX1zyl+7XMni2WU0/tXhcOg2VRVlTEJa9dAmc8Au9sFaKnJ1/5CvzhD+L+88+DrgvBU1WVFTyTcYyGRCKZfkhhIxkTRuK1yORgvL61lfZ4mkTaIKGbqKqCS1WJpU0URcHlUFlYGMg552ZBRZDLVy/M9rFpjQpBY9sKhV7xp//gu7v5oLYzL96UadmvpaCg9+OHHxahrB07hLhZuxbWrRONAzP8+MeimzJAUZHI4VmyBFavRj333KmbqC2RSKYEUthI8s5IvRaqqnDcsgqe+qiB5miKEp+TjoSOQ1XQLRufS8PtVNnaEqPE7xpR35MFFUF+cPJSdrXHeXlzC0991Iht24TKAvjdjrx6UyZrv5Z85PvUv1vPrQfeyqXvXErVyiqYN08sPZOUM3z3u3DMMULwrF0rqrRefVUkMZ97rtjnyivh6adh8WIhejKhsYULIRDIw6uWSCR7K1LYSPLKaL0WXqeD8qAbh6rQGkuT1C3cDhW/20GJz4mqKrTF0kSSBj73yPqeqKrC7GIf7TEdr1MbM2/KZOzXMiH5PiedJJYMug5bt4ruyhnicbHugw96P/fww+GVV8T9556D998XgmfRItFZ2SG/siQSydDIbwlJXhmt1yKWNnA5VA4LldIYTvLOjna8To2AR5QHW7ZNLGWQNi2UNCPuezIe3pTJ1q8ln/k+lmUDsK0litEWH5nXx+nsn6h8883w29+Kbsrr18PHH8PGjUK8ZHjgAbFfBodDeIkOOQTuvFOsa26Gjg7xPGf/91wikex9SGEjySuj9VpkREFCN5lZ5GV3R5LmSDK7XTctNFXFqSqj6nsyHt6UydSvJZ/5PpubIjz29i4A7n2zFkd7LD9eH0WBWbPEsnp1/+3f+Q4ce6wQPB9/LErUN2+Gbdu697n3XjFEVNOEuJk/XyyhEFxxhagAs+1JOUNLIpGMDVLYSPLKYF6LTIl1ezyNYdn4nL37yvQUBQsrAiyoCBBNGbTF0vjdDqJJnSK/i4ZwitLAyPuejIc3ZTL1a8mXhyrj9Qm3RClDfE4pn3N8qrwyeTx9Sae77y9ZApdcIkTPpk3w1FNifUmJyPUBkctz4YVC7Myf333cefNE6GsKTUmXSCTDI4WNJGdySUIdyGvRFkuxpSlGazRJa1yn0OPkjtd2cPbBs1k0Q1TdDCQKls8qYGNDhPrOJA5NodjnYr/Zo+t7Ml7elMnSryUfHqqeXp9QsZc4oKnKxFd5uVzd91ev7u3ticfFQNCWlu51hgGlpSJf5403eh+rpUUIm5074aKLugXP3LkwZ45YZs+WuT0SyRRC/m+V5ESuSah9BYrXqfJxY4T2WJp42sLGJqGbPLamnje3t/HNYxdy7JIZQH9RkDJMakp8HDS3hAPnFLOkqmDY3I7BxNd4elMmQ7+WfHioenl9wnqvbZN2KrfP13/21ac/LRbLEjk927aJpbZWeHZA3H/pJXjhhf7HfO01MTHdsuCLX4SaGiF4amrEUl0tK7kkkkmEFDaSYRlpEmpGoDyxtoF/ramnKZxCtyw0RaGiwEvQ40A3LOrDSX7z7Caqi30sqgxmnztaUTCc+BpPb4qqKhN6sc+Hh2oyVnntEara3YTwqKN6bzviCEgmhcDZtk306cks8+eLferr4Y47Bj723XfDeeeJ+9dfD253t+iZPVuMp3C7x+61SSSSLFLYSIZktEmoCyqCnLq/yoe1HWCLi2RF0I2qiuGTbqdGZYGb5kiKv79by/dPXJJ9/mhEQa7iazJ4U8aDfHioenp9fA4VpcwLju6BotNuKrfTKfJwQqGBt1dViZBVRvDs3CmE0M6dov8OiETlX/xChMT68tOfwlVXifu33CKquWbPFsnTmVuvHAQqkewp0+QbSTJWjCQJdVaRt5dgiKUN0paFadsU+7tFTQaXQ8PlUNiyh+GMgcSXbdvYNhT7nOxqj/Pk2gZCnwhkw1KTJnQyhuyph6pXQvfcQoJ3n5HdtldO5VZV4YGpru7dabkvb70lxM7OnbBrlxA/u3bBggXd+/zhDyLnpy9f+hL86U/i/n33iSaHmcqxmTPFUl7euyeQRCLphRQ2k4xJNRWa3MMR6xvC/PP9ul5hoLKAi2TaImVYFHj7vwbdtHA5NKwuj85o6Su+2mJpNjdFRQWWaWEDzZEG9qsu4qiF5aM+z1RkTzxUk6nKa8qgKCLHp2+eT1/uvlt4fWprYffu7mXZsu59HnwQ/va3/s896CAhngAefxz++U8heKqqoLJS3FZViXUSyV6IFDaTiPHqEjsS8ZRLEmrKsHjsg3rSptUrDLSzLUFnQieWMijyOnH3KPG2bZto0qDQ56TI69yjcEZP8dUWS/N+bQeJtEHA48TpcZA2LBrDSe55cydVhZ68vJf5EqDjIWT3xEOV8fo89s8NtH3rUWqvPATHvGI5lXtPWbJELEPx3/8N3/iGEDx1dSLHp65OJC5nePXV7uGjPQkGxQBTEJVg113XLXx6LoccIsvdJdMOKWwmCeM1FXqk4mm4JNS6jgQpw8KhWiya0TsHZ9EMB7G0Tns8TV1ngqpCDy6Hhm5aRJMGHqeKz+Vg4YzgHoUzMuIrltLZ3BQlkTYo8buytigKFHqdxFJGXsqT8yVAJ2TcwShYUBHkiyftw/ObOqg5aR/Kqosm3JO4V5BJdB6K739f9OjZvVsIn4YGcWvb3fts3QpPPDHw8xsahLCprYWjjxZiZ8YMsVRUiNszzui2IxwWokk2PJRMYqacsHnvvfe45ZZb2LBhA7/61a9YsWLFRJu0x4zXVOjRiKfhwhFup4Zh2cwsGjgHZ2FFEMO06YjrNEfSuBwKLodGoc+Jz+WgpsS3x+GMjPh6c3sr7bEUAY8za0vGM1RR4CFU5t/j8uR8CdDxErL5onBWAaf//LiJNkPSF7+/e4DoYJx3nhAn9fXQ2CjETGOjeFxWJvbJeHfeew9Sqd7P339/IWxsW+T3gBA9PZeLLhJdokEMPdU0sW95uUyIlow7U0rYXHfddTz88MN89rOf5ZZbbqGjo2OiTcoL4zHHaLTiybJs3A6NYxaV8/b2dpojSRrDVjYJdUFFgIff341vkFCS16VR4nfxxcPn8c6ONrY0R7FsKPI6WTgjmJdwRkZ8ravvpD2hM8OpYtlK1jPkdWnML/fjcztoiqRGnc+TLwE6XkI2n6TCKWpfq6V6VTXuAlm2POXweoeu+Fq2TJS52zZEIkL4ZJbly8U+qRScfLJY19Qkxlu8+67Y1rN8/pJLxFT3DH6/EDgXXwzXXivWPfggbNnSLX7KysRSUSE8QhLJHjClhM1ll13Gddddx65du/jRj3400ebkjfHoFzIa8dQ3VOLWVMqDbg6aV8KSyoJsFdQTaxuGbQS3uCrIkqogm5ujtEbTlAZcLCgPMLs4P9VJCyqCnH9IDdtbYsRSJom0iaaqVBR4mF/up8TvJpLU96g8OV8CdDyEbL5p29zGXSfexaXvXErVyqqJNkcyVigKFBSIJVPCnsHjEYKkJ8mkGERaUNC97mtfE+Gv5ubei9Hj++uuu/ofC3pPd7/zTrjttm7RU1raLX7OPVfsk0qJ6fF+vwyPSbJMKWFTWlo60SaMCeMxx2ik4mmwUElte4JoqhmvUyOWNvA6NULlftbVhQdtBDez0MMjH9Txfm0HO1vjJHQTr0ujpsTHAdXFA+aUjCap9vD5ZXx63yre2t7GrCIvbodGsGs6eMaW5TMLsWybDQ3hESfr5kuATrvGd5K9F49HlL/35OtfH/55N94oPDstLUL0ZG57epS2boV//7v/c0tLu4XNM8/AKaeIMRulpd1LWRn87ndCBMXjonS+tFR0ms7cFhf3Hs8hmTZMKWEzGlKpFKkeMeNwJpY8iRiPOUZ+lwO3ptIUTuJ0qLg0NXvRByGeXJpKOKHzUX0nD7+7m9Zoul9CcNoweWNrK29ua6Oy0IXf5WRmoQdNVQbMwdFUhcZIio1NUZojSUzLIuhxkNItatvipHSrX07JaJNqVVXhxOWV1HcmuwSZhmnbJFJG1pbWaIpfP7NpVMm6+RKg4yFkJZJJTS5VYddeC1dfDe3tQvi0torbnkNQi4qEsGltFUt9PXz0kRh/ccstYp+6OtEfaCAee0yM2wA480yRG1RS0r0UF4txGpky/LY2Iea8XukhmsRM+2/Om266ieuvv36izRiS8egXktANWqJptjRH8bpUnJpGic/F/Ao/xT4XmxqjoMA9b+ykPZFmS1OMiqCb8qCLEr/IqWiLpXhjWxtNkRSmbaObJg4txbbWGFWFHuaXB+iI69lGcMtnFtAaS1PXkcQwLAzTpjTgRlEUAm6btlgaw7JojaayOSVbW6J7lFQ7WFO6qkIPTZEU9eHkqJN18yVAx2sgp0Qy5XE4uvNwBuKII+CRR3qvsyzR1bm4WDwuK4PbbxeipK1NCKDM7axZYh/bFv2AjAG8pP/1X93C5rTTRKjM5RLHLy4WAuiUU7q7Sj/1lBBXRUXd+xQVCTtkb6FxYdoLm6uuuoorrrgi+zgcDlPd13U6CRhNl9hcwzWbmyLc/uoOAIIeB4ZpoyrQGE7QGksR8DjoTBhUFXoo9rtwOzW2t8TpiIueMCuqiyjyOnl7ezt1HUk0FTQFAh4HTk0jktTZ2hxjfpmfy1cvJK6b+F0ObNvmV89sosDjYHtrjEAPD5GiKAQ8DtrjOrOLvWxuinZ1CN7zpNpQWYBT9lfZ1hIDYG6Jj0c/rKe+M7lHx82XAJWN7ySSMURVu4ebghAVF1009HMURYSsOjqEhygjgtra4IADuvc76ihxvPb27mXr1t4NGe+7D/785/7nWLasO6n6rrtEb6Giom4BlLn/k5+I8R4dHaJPUVERFBZ238p8omGZ9sLG7XbjniLD50bSJTbXcE3PCpwDaopoj+vZrryKohBO6KQMi+piHwdUF3Xlo4DHqeFxqERTBmt2dwI2W5ujmLYQNaqqYJo2AbeKy++iMZzi9W3tfOGIeSyuFImEGxrCJA2TAo8Tw7JwakLspA0xZkEBDNNCUxXiaYOtLbE9Tqod6H0pC7jY2hKjpsTXzzsSSRq4HSof1HZQ2x5nTql/2M8oH4M0x3Mgp0QiyQGnc2jvEMBNN/VfZ9tgmt2Pv/MdOP30buGTEUs9j5tOi8TrDRsgGu1er2nw85+L+2vXiiq0vmia6Dx9wAHCw3T88ULw9BQ/hYVw4onDd8Cepkx7YTPVyKVLbK49UCzL5u0dbby7s50Sv8jlKPG7OHhuMZGkQdq0aI+lWLM73EtMBD0Oin0umiPCO7O9JY7LoWDZNk5NwbLABlpjaVwODa9L9KVpjabY1hLLioNMLoll2ThUlUhSJ5o0SegmVtcsJ4em0B5L43cL+/YkqXaw9+Wj+jA72+JUBD0Eu5qs9hy7oJsWSd3ktle2ceFhc4YVFfkapLm3DOSUSKY1iiJCZhlyGalx8cViAVHVFQ4LARQOd3tjampEGKyjAzo7e99mPFLhMDz33MDnKC+XwmYq8MQTT/Czn/0smwx8+eWXU1RUxBe/+EW++MUvTqxx40SuPVAsC57+qJF3d7axri5ModfJrvYkCyoClPhdFHiFkDAtC920el1MFUVhQUWASFJnd0eCtGES9LgB4aVxODQCLg3dsmmLp5np9CCkTm8yuSRrdnfidihsa0mgKeByaqgoxHUTy4J1dWGOX1bJvDL/qJNqh3pfFpQH2Noc4+PGMGWBMtrjeq+xCy6H2HdbS4zbXtmeU75NvgZp7i0DOSUSySA4nd3VXD2pqYHvfnfo55aUCG9RJCJET08BNA2a146WKSVsVqxYwXXXXddv/dy5c8fdlolid0eCzU0Rgm4HrbE0Tk1clHXTxqWpVBa4eXdnOx83REibFqV+N4VeJ5qq0BRJ0hZLsXBGkPKAm6DHgWnZODUVy+otTEr8LhZWBNndkQAgZZgoCigoBNwaTk1FsezsrKjOuE6R10morDuUk8kl2d2RYH19GMu2URUF07JJdXlxfC4xP0oBZhWOPql2qN4wBV4nVYUe6juSdMbTbG6KZccuALTFTGYUeNhvViGbm2OTrjneZMBb6uWASw7AWyoTmiWSSYWqdoefJMAUEzaVlZVUVlZOtBkTyvr6MOvqwigKJHSTWMrAssHtECIh4NZoiaaZWeRlVagURVHY1e5mV3sc07IIJw2aIynKg25K/C40RWFumZ9w0qDStnuJgrRpkjYs3F3l4V6nRlIXze8Ut4KqkK1qUhSFQ0Ol/RruLagIctK+lbxf24Fl28RSBmnDwqEpFHgdVBV6qSxw0x7XqQ8nR51Um+kN43V6CCd00qbVq6R9n8ogzdEU6+rDtMd1Am4H6T6diVVVnZTN8SYDRXOKOO3/nTbRZkgkEsmwTClhs7ezuSnCY2vqiaYMvC6VSNIgnjKwbJsoCm0KmLaNbYGNwjs7Ophf4acs6GJ9Q5i0YeFyqACYls3WlhhBj5MvrJrDhoZILzFR35Hg3R3t2LZNScBNid9NIKmzqz1B2rBQMEABywanQ2PZzALOP7RmQNFRHnQzp9RLeaAYw7KydmQa6Jm2LToGpw0WVxbwhcPn8Pe3d3eNX7Ao8rqGTar1u8QU79e3thJLmximhUNTKfa5WFARwOPUWDQjSJHXRX1HCwo2Dk3r1ZkYuvN4Ikmd2ra4zH3pQk/otG9tpzhUjNPbP0wokUgkkwUpbKYImRySlG5SU+JlfUOERNpEVRQ0BVKGqDLKOFzSukljJEk4qeNQFYIeB5ZlE+8KHRmWTajMj0MTAukLq+by9EeiQqehM8H21gQBt4OKAg+xlIECFHpdOFWVXV3hKVURIavT9p/FSftWDik6vE4HDk2h2O/ptz2RMrK5M5ubIjy1rpEdrTHCSR2nplIWdLN6ydCVQom0SXMkRUM4SVWBB6fHgW7aNEeESCn2uVg1v5RPL68kktLxOTWKfK5eTQozx0kZFg+/V0dLNDWpp26PJy3rW7j1wFvlSAWJRDLpkcJmipDJIZlZ5MXjUHmvthPLBocq8msy12ZNFdVL0bTJrGKNzoROLG0yu8iLy6ESTRokdJMD5xQzs8hLNGWwuSnKqfvP5GufmM/ujgSbmiL85ZXtFPtcqApsaorSFksT8DjwuDQqC9y0xtIsm1nIJUfO4/D5ZUN6M3JtSJdIm/zm35vY2BDBtG1EQrJCSyRFfWeSy1cvHLSfz9MfNVLgdWJaFtGUQUBx4NRU/G6NhnAKTVVYvbSCmlI/+80qYm1dZz9RY9s2m5qihBNCDM4s8k76qdvjRemiUr706pcoXTQ9x5pIJJLpgzrRBkhyo3u+kANbUdBUcDsULBtMm6y3xu/WcDtUDEuUMHu68mIyucFp06KqyMvMIi+KouB1aaQMk1jaQFUVUobJixub2dwcZW1dJ+sbImiqaKaX1C3a42lMG4p9Ls47tIYjF5bn3JCuxO9iU1OUSFLHsCwiSZ1NTVFK/C4+taScP760lbe3t5HUDYJuByX+TIKzxQe1Hdz9xs5+Sc7QLfoWVgQ4oKaYiqCHpG7REU+TMmxmF3spD7rxOh1ZW4p9Lj7Y1cGO1hjtsTThRJqNjULUFHicLJoRJOgRSddBj5OFFQHaYumuirPeNliWTW1bnA0NYWrb4gPaONVxBVxUr6rGFZCzdSQSyeRGemymCD3nC2GDqij4nCqmDVbSRlNFYz2XpqEgQlORpEmh1wm2TTSlE08reF0O5pd3l0P3LKHO9IHZ1R7H69TwuzVURSWa1PE4NZZUFuBza6QNE8O0WVJZMLTRPRiqId0+lUEeeGc3T65rQDctfC4Ny05T4nfhdWm4AiqN4SRvbG1lV3ucmj5N9HoOldRUheK5rmyfHpem4nVp7GiN9ep/43GoNEfSbGqKdoXZnCyfVYhhufs18oPcJ6BP17BVeFeY1375GquuWEXB7Nw/d4lEIhlvpLCZ5GTGJkSSOmUBNzvbYswIuvE4NVKGhcepivCTZeNyamiqQlIXTfYqC92EEzqKohBNGcwvD7CgIpgtc+4ZBqoq8HDLi1tpi6XZb1YhumHTFElS4tco8btoi6VpjCQ5sLiIzc3pUc0yGqghXSJtcvtr29nQEMa0bAJuDVVViaWFMKks8PRoAJgWHYT7CJu+QyUVRcn26QGIJPV+4q0tlubQecWYFoSTOu3xNJGkTtqw8A0yfHK4Cehep4emSJLXtrawsSnCNz45n0UzpocIiDXFeP1/Xme/C/eTwkYikUxqpLCZJAw092lrSzTrDUjoJuGkTnMkRXMkSUXATW1HnHjayHYCdmliNIENzCn1ccT8UtbUhdl3dhFW1ygDp6ZgWBaJtEldRwK3U2NBRYB3a9vZ3BShqtCDqqrMr/ATSenZ3Bqf20FjOMmHuzuZXewb8Syjvq9vUZc34/fPb6EtlmZWkZePGyKoiopDVdCcGgnd7NEAcM9zeHqKt55N/Ir9LmpKfHywq4PWaIpYyugljDL09G71bQjYHtdZX99BezyNYVpsbY7x41iaH568lAUVsruwRCKRjBdS2EwCBgpnFPmcYoq2ZeN1qrTH0jRHU3TGdZojNgGXhsch8mc8DgXDtkjoJi5No6LARajMz5aWOLOLfVx8xFyAXmGglGFlq6Mefn83Kd2iti3OgXOKsW1Rxr2gIkBDZ5L2uI5umiR1i1BZgAsOqxlRmGWwcM1+1YXZpnqWZYt8IMPEr2ooioLLoYoqJd2kM2FQ6HUxr6z/LKdch0rWh5NDzqIKlflpjqTZ2hJl/9lFQzYI7NkQsG8nY6fHgcthsKUpys+eWM/cEj8dCT1voapch59KJBLJ3ogUNhPMQPONYimDlze1kNBNVlQXsqkpSiJtds1wctIcEQ3xFpf5qShw0xRJ0RpNE08beJ0OyoNi/EHf3i+ZMND6hjCPfVCPQ7WYWeTB53LQGE7w4e40T3/USMCjddUjKRT7nCyuDAAK8bTJictnYHQly+ZyQR1qrtW6+k6iSYOZRV5UBWYXednaEiOhiz43KmJIZltcB2BVqITq4oGb5uUyVDIzlHOwWVQ+t4OygAt/12iKoRoE9mwIuL6+I9vJOCOG/G4HkaTOR3VhdrUnOGJ+KTPde15htbfk9EgkEslokcJmAhlsvhGICidVUfigthOnplAacPcKnSTTYphkYziFz6lREnAx2+FlTqmPg0OlLKks6Cc8VFVhVpGXf75fR9q0WDSj+5zuLiHRlkyTNFTcmoZh27REU9R1JCgNuin1ubn3zVpSppXTBXW4uVYf7OqgJZomltIp8LrYd3YhsbRBazRN2rCwLBvTFonRy2cVct4gDQAzDDdUsm8uTl8SaZOygJvPrJzFh7WdQ07dzhyrKZKkPZ4m0JXbk5lentBNoikTr1PtKj1UshVWPWd6jWR0Q67DTyUSiWRvRgqbCWSw+UZp08K0bbxOjbrOBLOKvb22OzWVNj1N0hBdfI9cUMaiAg/xtMGujiTxj5sJlfkHvGAOdE7bttnaHEdVFFRFJZG2cHo0fE4N3bRpi+t0JAw8MzUW+gP4XI6cLqhDzW/qDv2k2NoSY//ZTkr8bg4LlbK5MUpjJElnQqfc5+GMFVWcuG9VThftoYZK5pqLc8T8Mo6YXzZkuCdzrNe2tmCYFk6PSIRui6VJ6AbxtIlp2bg0J3HdJG1avV77SEc35Dr8VM64kkgkeztS2EwgPcuUe+LSVByqimVZmJYYHNmTtGEST5v4XBo+l4rToebsDRjonJGkQWssha0Izw3Y2NgkDQtVEUnJummDbWcFQd9zzS3xU99VMZQRAoO9vgwi9OPuFfop8DpZXBXE5VRZ4nZw7iE1HDFMA8BcyTUXJ3OuoQRH5lgbmyJsbY5hkyKcEHOwADxOFd20SaYtUoZNPGVCoPv5fSushmM4kShnXEkkEolACpsJZLDQSNDjoMTnYkdrFFUBy+5u+GbbNh1dOScBlwMLIYQyDHeRG+icadMiaZjoXTOcnJpCRdCDZdvoZkZc2bTHdSLJ7oohRVGoLHDzypYWtjRHiaYMVEXB6xRhqv2rC3MK/Xx25Sw+6BP6OXRe6ZCzoUZLLrk4IznWNz45nxsiKT7Y1YlpWXhdGl6Xg4BboymcwrBtNAUawgmqS7wD9g/KheFE4kiFkkQikUxXpLCZQAYLjSiKQqjcR217HJdDI5bU8bs0DMsmmjRwOTRsG1KGyYxCLwG31muitdelZrsJ53JOl6aioGCYNopi43ZqRJI6Cd1CN0VpuKZCyrR6hVTaYik+rO1kU3MUr1OlyOeiPODGW+RhbV0nuzviFPmc1Hcmhwz9HD6/jMOHCf3kk+FycUbCohkFXHpMiKsfWotl2RR5nfjcIoSHAlhQ3jW9PCMK+1ZY5UIu+UEjEUojpWheEWf97SyK5hWNyfElEokkX0hhM4EMFRppjensX12ES1N4b2cHu9oT+LtCN0VeB2t2h/G5NcoCLt7e0d0/xaGp+F0axX5Xr4tczxLh/asL2d0R73XOgFujvtPC61DRDYs04HKoaKpKPG1i2TaxlJgmTsBNWyzFezvbqW1LoAAzC71omkJLNCXOMbuQ1pjOzEKNYp9r2NDPeI8hGCoXpye5lFZXFHgIlflJGxYdCZ2OhI5DVakp8RFLGRimhWlDQjdQFAYMew1HrvlBI22amCveYi/Lzl42JseWSCSSfCKFzQQzXGgkVBbg1S0tPPNRE/Wdia4ZURrzKwLE0wZbm2MkdTPbP0U3LGrb48TTJh/VhQHxaz4zubtnn5yqAo2OuE7KSDKjwENLNE1nwsBp2/g9Diwb0oaFQwUbBWybhs4Es4t9bGmKEU7omLZN0OvE6+rqPeNXaYul2doSZ58ZonHdcFVGk7WEOVe7/C4hOAu9DkDJes6CHgft8TQf1YVpiqRoDCcp9rlHFfYaaX5Qvok2Rllz1xr2vWBfAjMCwz9BIpFIJgjFtu3pN7FvCMLhMIWFhXR2dlJQMHlaww/nGei7PZYy+N4DH9IQTlJZ4Mbl0NBNi7ZompRhYgElPhezi720RNMUeMUgx0xFU31nkmKfi5P2raQ86MbvcvDy5mZ+8cTHXWJGAWxMGwzLxrRsHKqCx6lxYE0x21pjxFMi3FVT4sPv7tbIKUM08ztkbgmtsRSXHbuQRRXBAV9f/xLmbvtK/K4JK2EeiV2WZfP757ewtq6zX9m+bdtsbIxSU+rljANmEXQ79yjM1lNspQwRflpQERiTfKSeNLzfwG1H38bFL15M5YrKMTuPRCKRDEau12/psZkkDBca6bu9ti1OedCNQ1WIpU3i6TSGZZMyLdxOjYDbgWFaNIZTNEdTmJaFbvr6VU+t2dXJV4+Zj6oqHFBTzPKZBURSBs2RFJ0JkaRc5HMScDmIpgw6urrsqqoIP3UmVRxa7yHxTk0lljII95jRNNDrm6wlzCO1azhvSmnAxTkHVedFeOQzP2gkVK6o5KrwVWN6DolEIskHUthMUWJpA5dD5bBQKfG0Scow2dAQQVV0Sv0ubKA5kkQ3baoKPERTBluaYxT7RHfcgaqn/C4H5UEP88s1PtgVRlUUSnxO3E4RZvK7NXwuIZriaYv9ZxewsSlOcySJq0fXXd20UBWF9niaQ+eVDpr3MVlLmEdjVz6rrYYj1/wgiUQi2RuRwmaKkqmSSegmBV4n4QTE02Z2unXaMAEF2wanQyWgOGiLpXuVa/ctEc4kqL65vZVE2qA04O7qayNCKrGUSWWhl0UVAd7c3sb2tgTzy/1EU0Z2WKZDVWiPpXE7NGYXdQ/LNAyLd2vbaY2lKfW7WFldPGAJs23bRJJisremKCT1gau7xpLRllZPlDdlPGj+qJn7z76fs+8/m/Kl5RNtjkQikQyKFDZTlL5VMmnTynbAtW1RFl7idxFPGeimnQ0P9SzX7lsinAmprKvvpD2hM8OpYtkKumkRTRp4XRqhMl+2K7KiQEs0xcIKP7s7El3jEQy8To0jF5Zx/qFiWOaz6xv5yyvb2d4aQzctnJrK3FI/p+xf1auEuS2WYktTjLZ4GsOysG3RMLAlkoJxTOvYk9Lq6epNMZIGzR81YyRlnxyJRDK5kcJmitIzr2Njo2jkp1s2HfE0lg0+l8bSqiBbmkWoyO/W0FQ128xvsBLhBRVBzj+khu0tMWIps6uHjUpFgYeygIstzXGaIkmSaROPy49pmuimhdepMSPoZmZ1EaetmMmRC8pRVYVn1zdy0+MbiCRFiCyTe7KxKcKtLybYb3Yh9Z1J0obJB7s6SaTNLs+PRnMkjaba/GtNPZWFnnFLIp7o0mqJRCKRjB51+F0k44nVNTl7Q0OY2rb4kP1dFlQE+eQ+FbRGk7yzo43mSJJd7QnSusm8Mj+lAQ8LKgJ4nBoN4RR+t4bXJZrvbWqKDloifPj8Mj69bxWzi70cPLeEVaFSQmV+trUIUWOaFtWlPhZ1CY26jiRJ3cTl1DAtmzW7wmxtiWIYFn95ZTuRpE5NsZegx4lDVQl6nNQUe4mmDGrb4hR6nLy5rZ1wQqfIJzwkHXGdAq+TQ+aW0B7XeWpd47j1usmIxhK/6L8TSeoYljXs+yaRSPaMkXz/SSSDIT02k4jNTRGeWNPAmt2dxHQDv9PBvrMKOXHfygG9Fc+ub+R//72JpnASh6ZQ5HWS0C3iusnHDRECbgcep2iQp6kKxT4XO1pjwya1qqrCicsrqe9M0hZLU1mgsqkpQjih41Ah2FU6blgW7fEUbfE0PrfGgVUFJHQzOxzzwDnFbG+NUep3oapqn3OolPpdNIZTnLi8kg93d2Ladra5XUWBh/nlAUr8LlwOddyTiMczGVgikeTeN0oiGQ4pbMaRoXrVbG6K8KtnNrGxMYLZ41fKttYYGxojXL56Ya//3Bsbw/zm2U2D9rFpi6d5Z0c7S6sKWDW/lNVLK/A6HTkntfa8sH+4S3Q+9jg1ZhR4mF/up9jn4u3t7SR1i8oCD7GUGMxZ4O0uiX7h4ybSppifNBBel0ZbLA0ozCn1Uh7wYNp2trldJgQ00jlIuXQLzoXpnAwskUwm+veN8hJPG9kfSRPVz0oyNZHCZpwY6tdIqCzA3a/v5IPaDlwOEapxdk3UjiR1Pqjt4J43dnLNyUuz4wf+/vZumiMpqgo8uJ1COLgdGpWFHlqjKbxujYqAh/MOreGgOSV7dGF/cVMzf3p5K/NKAxT5RNVVOKHTFheVUE5NJZbuTkzuWRKtIpJtg57+Uc9E2sSpqVQWuvE6HTg0hWKPa8D9cp2DlO9ffdM1GVgimSxM1n5WkqmLFDbjQN9fI16nh+ZIile3tvB+bTtHLyrjpU3NqAqU9ugH43YouLrCNa9tbaO2Pc6cUn+2z4rLoeJ09BYMiqIQ9DqJp01soMDr3KMvA1VVmF8eoDzgwaEpWdvSpoVhWTg1B7pp4eiRmAzCy+J3aVQWeqnrTOB3ab3CUZZl0RpLs8+MIMcvrmRHS2KPk3Xlrz6JZOoxWftZSaYuUtiMMX1/jbTH02yoj1AfTtART5PULd7Y2krSMCnxu0nqvUM3iqJQ6HPSGk2xrSXGnFI/sbSBaVu4uwZWApi2jaYoQuxoKmkjjaqI0uU9Dc0MNhHcoaqkDZNYyqSiwEPQ0/3nlEibeF0Ozj2kgj++tI2d7YleVVGtsTQFHidfOHwuLpfGcUtnsLExwrs726kq9FIedJPUc5+DNJJffYAML0kkk4TR9o2SSAZDCpsxpq62idb1m5hf4CfekmZtY4LWlE1MN8EWs5cSaQPTgkhSx7KhssDTJy+ld2WA16nhUlV006IhnEJTbGwUVEXB69Twu1XShs38igAJ3eD3z2/Zo9DMYCMD/C6NXR0JygNu5pd3i4meXpazD6ymLODO9rFpi6Vxair7zAjyhcPncuySGWxuivD0R43E0gZNkRQ7WuN4XRo1JT5W1hTnlKyb66++V7a0ZAdyygTF3Jmx/wy+3/l9nP7+fX0kkj1hT/pGSSQDIf9SxpoXnucL/309bodKPGVytmVh2ZDUnBhOF2mHi4TqIKY40J0uTJcH2+3GFfChO92kHU5aLQ3F42F54XbqX3bxYWOCgh0RZiRtgqoT3eVG83ox3W4iOGhSNGaUFxEqC/CrZzYRSxmEyvzMdI8+NNO3SihlJCn2uzAsm4KunCDDsgacNn3skhkcs7C8X+dhh0PtFT6qKfGxz4wgTZEk9Z1J/G4Hq5dW5GRjLr/6NjdFuefNndg24x6qyldC80ShairuAvdEmyGZhsi+UZJ8I4XNGKMccQR/v/SHeIw0O+vbcRtp4uEYXkvHY+o49DSOdAqnoUMyic/S8Ro63kgHRUYaJZlirp5ipht8O16lraWT/QyTxaZF2rAAm8x89p5fCC5NRf+tgwWqE8vlBo8Hd4EfzetFd3uoU73U/7uS0LEHoS5aCPPmgXfoL46BqoQSusHT65qGLYl2OFQOmVfa63iDhY9mFvmoKvSyqSnKMx81saA8OKwIGO5XXzxl0BJNoyiw/+yicU1QnA5lrK2bWnn8/zzOSb89idKFpcM/QSLJkeGGyMq+UZKRIoXNGFM1bxaeQw7mta0t1HsTeJwO6joSeJ0aYJPQLfwuB4VeBzva4qiKgmlZXf1bNDRFYVFlkG8eu4Db1jWxtq6TKp/GexsbcBkp9GgCMxaDdIqgZVDlATuZxE4kCdoGRaqBy9AhnsBvG1T7VAqsNFUdbbhe24j+8r/AtkmZNsmaObgOWEHBYQejrtgfZs2CPmGdTJVQxgNh2XDK/lUoQFw3R+SNyGfS4HC/+ra2xFCwCZUFxjVBcbokNGc8Nqome3pK8o/sGyXJJ1LYjDGZXyMbGyNsbY6hKiYKkDYs0qaFooBDU7Bsm/KAG7/bQWssRWWhlxK/i/1mFXHC8hm4HVpWBCR1kzbNhd/rw/YXYdo2hmUTtmxifhfhhEHaNFEUhRkFHlRFwbZt2mJpKgo8HDSnGNO2WbOrkxlOi/D6zRTt3sb8+m0sefR55t5zPwVeB+7yMtwHHoCyYgXW8n3ZXTmHGGJ20/s7O9jaEiOhG1gWVBV6Wb20gkXzh/euZMhn0uBwv/r8bge2DX73wH/yo0lQHC68NJ3KWItDxZx9/9kTbYZkGiP7RknyhRQ248CCiiBf+8R86h5OsL01im5YJHQTuv6/xtNC7JT4ncwq8nLEgjJOXzGToMeZ/Y+9oSFM0jBJ6hrr68M0hVMYVhJsUFXwdPWySZs2hV1jCVBANy3cDg1FUQh4xITvcEKnvjPJhoYwG1DwFs+maNY83tcNGsMpnLEoKztrOSpRzwEbdjDr3y+SjiUwbJXGGXP4sGQO22cvwFi2jHbNT3M0xfu7OnhhYxOfXFyRHX45HPlOGhzqV99+swt58N3deTtXLuGl6VTGaqZNYk0x/BV+tEEaLkoke4rsGyXJB1LYjAObmyI8u76JQp8DWhWSholpAzY4VMCysRRojxvUtie4+Mh5LJ1Z2OsYfpeDtGHx2pYWWuNpUrqFhRj2ZdmQwEIFTEtHVaC6xIcNNEdSuPwqiqLg1FTaYmne3dHO1pYoadMW5eGqQkI36YgbKIpCyuvnreBSmksP5gmXRlN7jAOSzRzSWYu2dg0Hf/wmx73zFNbDNi3FM6irWciuWSE+KKrmVcUmqVt86cjhQyxjkTQ42K8+gA9qO/NyrlzDS9OpjLVpbRO3Hngrl75zKVUrqybaHIlEIhkUKWzGmJ4XwepiP03hFJ0JHburhFu3QFXAoSi4nSJ/YUN9mE/uU9HLBTsj4KahM0ldZwLbttE0UC1RCG7boBsWLqcivEGGRqjcj6IoRFMGbTHRITieNmmPpYkkDWwU3A4Ft1N4TDoSOpqqEHA7MB0qKd2iI5bGtp106jY7Z8zBu/9yXp99KB5NwaxvoGrHRla07WB5604OXP8GZ5gmKc1Jc3WI+uf2I3TmatQDVkBh4QDvzNglDQ72qy8f5xpJeEmWsUokEsn4I79Rx5C+F8FI0qA9rgPgVAFFwaEqeJ0qpgWaInJtPtzV2Ss8sbkpwn1v1rK9NYZuCEmkqeDQVEzLxrDFOsuEIp8TG5tE2sLj0lhQHqChM0lbLEVdZxIFmF3soTmSJmVYuDQFU1GJpnVcihBWmqKgYJM0TOw4lPpcNIVToueObuDSnNR5i6hffAhvWQdTUeAmiMmcllpKt2/kgM5dzHrhWRLPP4LP7UAJhWDFCrEsXw6zZ4v4GXuWNDjSEup8JCiOJLwky1glEolk/JHCZgzpexFMGSbhhI5l23icGrZtY9ng1FQ8TpV42iCWMoil9Wx4IuPx2dAQxrYh4NaIpU0sW+TPODQFn0NDU8G0YE6pn02NUV7c1Izf7cDlUAm4NTxOB4VeJ8tnFlBV6OXFTS2kjDSWLbw+qgKmaWcHcFo2mLZI8E0ZJpGkQUI3iaYMYkmTlG4CoprK7LRp0VS2e2di7FPFM14n8bTBET6dTybrWBWppfT99+HBB8Ub4/PB4sViWbKEBfvtR+iYELs7kzmLlNGWUO9pguJIwkuyjFUikUjGHylsxpC+F8G0aWVHH9i2yB22u4SFqI5SSeomKmp2FELG4zOryMvHDRGcDhVXl/gwLRuHqlLodWJaNpGUTn1HArdToyLoRjctUoZJQ9Ig4HFQVehh4YwCVAUqgm464sJr41RF12LLstFNi1jKEB4gS3htFEXB41QpC7hEdVVcRzctNAU0VYgy07LpiBtoqoLic1Loc6HOLuex1Axe8x/KxZfPZYHHhvXru5fnn4e77wZALS2lev/94aCD4JhjQB08gXBPS6j3JEFxpOElWcYqkUgk48uUEzZbtmzhz3/+M42Njey7775ceumleIdpLDdR9L0IuhwqLoeKYdoYliVEgJIRODaGKQRLqNzPrCJvL4+PZQkvjxAUCoZl49RULNvGMC2SXZO1k7pFTamPxVUF6KaFSxPDKbe1xmiOpImldAq8LhbOCNIaS9MYTmLaNrZto5s2nXEdFPC7NdwOlbRlCXtNEe4qC7rpTOikbCHKPE4FbIilTBRs3A6RoDy3zI9TU5kRdNAQToq8k2Pmox56KBx6aPeb1NkJa9bABx+I5Ze/hF/8ApYuhU98Ak48EWbOzO6ea47L3BI/9eHcPUC5MprwkixjlUgkkvFjSgmbDz/8kCOPPJKTTz6Zww47jD//+c/cddddvPzyy7hcrok2rx99L4JuTaPQ68SybGIpMR/K7RDem1jaxLRsCj1OVi8V4YmeHh9VEcfb1hIT6SldgsYGEroITVldLYg7EjpvbW/DoaqU+FzMr/ATKvPTHEmxtSXG/rOdlPhdHBYq5cNdHexojZM2bawuu12qqKBKGTZOVUXpSnVujqYoD7hxqApOVcG0bNKmhaoIgRbwONANm5Rl0RJN8+a2Nhyait+l8e7O9oHLmgsL4cgjxQIQjcIrr8Bzz8Ftt8Hvfw+HHAKnnw6f+AS7o8awOS7v7mznF09+TEs0lfdOv6MNL8kyVolEIhkfppSw+f73v8+qVau45557ADjvvPOYM2cOt99+O1/+8pcn2Lr+9L0IVha4mRH0kNJNTNsmpVuYlk0sbeBxaBT5XRy7pILD5pVS2xanoTMptqcMCrxO9ptdRDxt0hpNgQ0pS4S2TNvG49BIG+BzCfHk1MSQzKZIkkhKZ99ZhZR1NQDMXJALvA5CZX6aIklUVQguhyq8QfG0iW7alPidFHldhFM68ZRJK2ksoDzo6truIpY2aY+lujxRNgrCjgKvE9206YjrNEdTrG8ID39xDwTghBPEkkjAM8/Aww/D1VdDQQHuo48lGFyGb/mSAZ+e1E02NkZIpA1mFnkp8DgxLYs1uzvy1ulXhpckEolk8jJlhE06neaZZ57h97//fXZdRUUFn/rUp3j00UcnpbCB/hdBl0NFQcGlqQS68jBswONUWT6zkCMWlHHLi1vZ0hwloRvUtiXY1hzjkHnFlAY8HBYqZVNjhKZIko6EToHHwVELy2mNpnm/tp3SgBu3QzRQczs0XH4RGvq4MUJNsY8zD5zNB13TrRs6E2xvTRB0O1lc6WFzc4xirxNFUUikDXZ3JFEVhSKfkwKvg5ZoinllAXa0xoWnCYVD5haxvj5KayRF2hSeI1WFzoSOy6GiKQqaCpGUxVvb2li9eATJsl4vnHqqWLZvh3/+k4KH/sF/7LyLtjkL2XnUcWw/8EgMrxBLtm3zcUOERNoknjZZszuMYVo4NJVin5NYysxbp9+9Lbzk9DuZfdhsOd1bIpFMeqbM4JedO3ei6zpz5szptX7OnDls3bp10OelUinC4XCvBeglhO655x5CoRCPPfZYdt3pp5/O/vvvn328Zs0aQqEQP/vZz7LrrrnmGkKhENu3b8+uC4VCXHjhhdnH9957L8cftj/V0fV8+7hFXLhqDrV/u56Nv/86PrcDv1vDbqvlzZ9dyKsP/j8eem83a+s6eefB3/O3Kz9DlRomoZu8sLGF6y88lkd/cxVLqoJUl/goa3qHjb+5mLmxDbgdKlWFXl75w/d48sefz54/XL+N1246n7ce/jPlBW4On19G/b//wt+/9xmOqrIp9jsJeBzcd+VnWXPHj6ltT9AaTdO65nm2/PZi6j58mZRuYlg26//6I/513QXMKHDTFteJ1G/jF186gX/fdwsJw0K3ofXFO9jx+0voaNjF1uYY21tjvPCTC9h07094ZXMLr25p4W9/+xuhUIh//OMfWTs/85nPsHz58uzj9evXEwqF+MlPfiJWzJ3LtS0tLN2+jcc+9x+0On0cfO+t/PLsw3jsy6dQvmU94Xia9198gg9/eRFb3n4ej1Oj2O/iw7/8kEeuPZ+mSJJ3d7bzwpvvEwqFuPHGG7Pn+9GPfkQoFGLLli3ZdYsWLeJzn/tc9vH9999PKBTi4YcfBoRH7vIvf54zj11FdYlPdIjesIFQKMSPf/zjfsfevHlzdt0+++zDOeeck33897//vdexAc466yyWLl2affzxxx/3O/Z1111HKBRi06ZN2XWLFy/udewHHniAUCjEQw89lF139tlns2RJt9crc+wbbrghu+76668nFAqxceNGyvYp45LXLuHI04/sdewHH3yQUCjEg5mKN+Ccc85h8eLF2ccbN24kFApx/fXXZ9fdcMMNhEIhPv744+y6JUuWcPbZ3WMbHnroIUKhEA888MCgx960aROhUIjrrrsuu+7HP/5xv2MvXbqUs846K/v44YcfJhQK8fe//73XsffZZ5/s482bNxMKhfjRj37U79gbNmzIrlu2bBlnnnlmv2Pff//92XWf+9znWLRoUfbxli1b+h37xhtv7Hfs5cuX89nPfjb7+B//+Ee/Y5977rksXLgw+3jr1q2EQiGuvfba7Lqf/OQnhEIh1q9f3+vYn/nMZ/od+29/+1t23Xnnndfr2Nu2bSMUCvHDH/4wu+6nP/0poVCIjz76KLtu33335Ywzzsg+/uc//0koFOK+++7Lrjv//PNZsGBBTsdet25ddt1+++3H6aefnn38yCOP9Dv2BRdcwPz587OPt2/fTigU4gc/+EF23U033UQoFGLt2rXZdfvvv3+vYz/66KOEQiHuvffe7LoLL7yQUCjU79jXXHNNdt3PfvYzQqEQa9asGfTYjz32GKFQKBuBGOjYO3bsIBQKcfXVV2fX/fznPycUCvHhhx9m161YsYLTTjst+/hf//oXoVCIu7uKM3oe2+5KWdi5cyehUIirrroqu88vfvGLfsc+4IADOPXUU7OPH3/8cUKhEHfddVd23ec//3lCoRCWJRIaamtrCYVCfP/73x/y2CtXruSUU07pd+w777wzu+6iiy4iFAphmia5MmU8NolEAoBAINBrfTAYzG4biJtuuqnXF+pEoaoKs4q8/PP9OjRVIehxcPTCctKmRburk80ujUjSYGNjhBOWzmBz17DBmUVeqmaX8+b2NlGxlDToTBgcOq8U3ahi82MaadMihcU+lQW8oqgkLZuUYeLUVNKmJbwoChw0twRVVVC6+ufohk1taxynJqqinKqCYVp0JnWiMR1FUVAVaI3raAo4NQVdAYeqoioK9Z0i8VhB9OXRu5J0bBtSpoVmWBiWSI52O1VaY2n+9NI2ZnZ0YFg2Vld114hQYNEZq3n24ON4oq6B1DXn4ol08qn/vprlnkK2KV4eMnUKXCpuh3gPVUVBUxUM06a2LU4sLXNdJBKJZLqi2Bn5NsnZuXMnc+bM4V//+hcnnXRSdv2Xv/xl3n33Xd55550Bn5dKpUilUtnH4XCY6upqOjs7KSgoGHO7e1LbFud/nt5Ikc/Zr1Q4nNB5cWMThmWzoqaYEp+LoKe76iacSFPXkeS8Q2uYXx7oFfboeVzdtNncFKU9nsawLByqit+tUexz8aNTl2VzXCzL5mePb+DRD+uoCLqxbGiMJOmIp7EsO9uZOOhx4nVpYIsxDWUBN6EyH/9a28D2lji6aXbZIUSRbdMjCVmUsNeU+sCGlmgaVYVin4ulVQUsqAiOOqG3Zx+bdFontGsTi9e/ReEbr1KR6CTl87N+wQrW7XMgm+Ytw3C6iCR1IkmD/z5nfw6ZVzrqz3FvpP7dejlSQSKRTCjhcJjCwsJhr99TxmNTXV1NUVERa9eu7SVs1qxZw7777jvo89xuN263ezxMHJahmrs1R1O0xdLols27O9vxuxzZiqYSvxuf24FDU6gs9PRLwO1ZfbWwIsDBc4uJJA3SpuhR0xBOst/sol4lyLs7EjRHklQVemiOpkikRbgp4BYzqVK6SUK30VSTk5bN4NillZQF3fhdDuo64tz39i4qC920xtK4NBVVEcM8U4ZF2uxKIO4qhzZMm6ZICoeqUO4XIsqhKYP2ncl0FI6kdKJJg4Db0WsgKAyU47KMcPxkvn3fe8xu2Mbhu9axfOO7rFzzKrrTxceh5bw1eykbQvsSGGTCt2RwCmsKOfWPp1JYM/B4DIlEIpksTJlveEVROPfcc/nTn/7EV7/6VYLBIK+++ipvvvlmr7yAyUTflv8+pzZgc7e2WIpNjRFSpvCwFHudqKqSrWhaUV2EU1MHnSs0UAmyz62hpKG+M0lpwM3xy2YAdIViDBo6kyQNk4UVAba3xomnDfwuDaem4lDF0EzTsqku8VIW9HL4/LKsqFhb14luWhR63XQmRIdd2xbdio2u8JINxLuqvVqiaUAIMI9Loz2exuXQWFjo7TVbSVWVrCfmvdp2drbFSaRNvE6NmlIfB1QX9/Lw9C2hriVOTZmfXVqIeyvnETjyDKo6mliy4W322fAun99wB25NoXzNAfCpY0SJ+ZIl2fEOksHxlflY+R8rJ9oMiUQiGZYpI2xAJJIdf/zxLF++nGXLlvHSSy/x7W9/m+OPP36iTevHQC3/Q2V+inxO6juT2eZutm2zpSmGblp4nCLk43aoqKqarWja3BSl0Otiv9mDzxUargQZ4PfPb8naY1oiZKUgSqQt2yacNFAVBY9Tw+fW8Do1llYVsqU52qsHTanfJZoDWjZep0Y4qWN05fKI/jciGKWbABY+l8rMIg8+t4OUYeJQRdPAvrOVUobJba9sZ2drnKZIEtO0CXocpHSTXe1xUoY1ZMn2rCIvK6qLRANBXYyBiHpK2Hbgibx21KkUJiKcEt/JyeEtcO+98Mc/QnGxaBi4ciUceCDU1Ig20JJexFvibHh4A4vPWIyvTOYoSSSSycuUEjbFxcW8/vrrvPLKKzQ2NvLLX/6yV4XEZGGwlv/r6sNoqkhkzXhWDNOmMZLEtKDUL0Jm7XGdgMeBUxOdine0xjl4nmfYuUKDlSBvbYny55e3s7sjTonPRZnfTSQpesukdBGuKvY6MWxIGxaqAk5FoarQS3nQzY7WGJGknvX2lAfdzCn1sakpSnnARXs8jW7auBxCqGUsDLpVXE4HlmURdDuxbZto0qCiwEPQI/70MrOVIkmd5zY00xpNYViiv09pwIWiiInjbbE0hmnRGk0PWrK9tSVKWzRNSyRFXDfxaCoFPiczi7woKJSWV7H4iFUoFUEwTfjwQ3j5ZXjrLXjqKbAsKC0VIicjdObNk0IH6NzZySNffoSqlVVS2EgkU4CRDgmeTkwpYQOgaRpHH330RJsxKLm0/J9Z6KHY72Jrc0zkt+gmNcU+Fs4QXohM8m80JTwoQY+Dk/eryinJtm94xrJs7n5jJ29vb0NRRG6NQ1GIp018TuF1SRsWuiVCXaoixiM4HSqhMh9JXeTNPPxeXa9OvhUBNzvbEjSEUyiKjVMDvWuIpkNTso0C3Q6Vhs4kHYk0tg1el4P55d3vS2a2UjQlOgoHPQ62t8YJeJzZfRRFIeBx0B7XmV3sy3p4er7OnmLygJoi6jqSNEdTNEdSRJMGn1xcwfmH1nS/h5oGBxwgFoBYTIx0ePddsfzf/yvET1FRt9BZuRIWLJChK4lEMqkZ7ZDg6cKUEzaTnb4TvXuSCb20x3UuOnwuqqKwpTnKPW/sZGaRhwKvGAvRM/k3bZgYps2SytFVcL26pYXnNjRh2zZFXSGkWMqgLZ7G7VApD7hpDCe7xjLYqIpK0OvA69RwqCqbmqKEEzoOVWFmkTfrfarvTDKvzEdTOMX2VgNVUXFpEPA7CJX7Kfa7qO9IEk2KgZodcZ0FFQEWVAQp8YvX2XO2UsDjIGmYFHicGKaF09P7TzNjt6YqYgp61/RzGFhMzi72EUmKyeS7OxKU+l2Eynq3CuiF3w+HHy4WEF2P16zpFjq//jXoOlRUwOrVcNxxsHy59OZIJJJJxZ4OCZ4OSGGTZ4aqfILu0EtCN1lcWcCsIi/rdodZW9dJsMtLoSgKBV4RutnUFO03VDFXLMvmmY+aiOsm1cVetC5Pg9Y1C8rqmvVUFnCjKmDaEPQ48Dg12mJpNjVFiaYMCjxOFs0IDuh9OnJBgDK/C4dDxakqhBM6bTGdpkgKTVFwORRC5X5mBD1d51UwLKvfbCW3QyRWm5boFKybNm5Ht2jQTQtNFVPE+yZRDyQmM+8hOPE4NbY0xwaeVTUYXq+YUXXIIeJxOi1CV889B08+KaaSV1YKkXPiibDPPlLkSCSSCSXXIcH56L4+mZE+9TzTc6L3QGRCL5kLc6aiqcTvYlNTlEhSx7AsIkmdTU3RQYcq5sLujgT1nQkCbgeG1b2+a4YmNhBOGDhUhQNqiqku9mHZokrLtGxqSkWOzcIZgUG9Ty3RNEtmFmBYNnWdCVpiaTxOlWKfC49TpTmaRkHhnIOr2XdWER1xne0tMTriYn5V5tdDpmQ9kjQo9jmJJvVsh8xMbk6xz0kkabCgItBL6HWLyYF1utelkTLMXl6eEeNywUEHwZVXwuOPw623wtFHw7/+BRdeCGeeKdbt3Dn6c0gkEskekEvEIBPKn87kzWNj23a/N3JvpO9E757vSc/QS88L81gNVYylDVQVygNumqMpbJdGvKtaKGWY6F0N9eK6ht/t4KC5PsIJnc3NUZbOLOC0FTP53XNbhhQMjWGLlXOKeWNbG83RNJUFnuwAzljKpDzgpsDjZFNjlK8cHaI+nBwwma1nyXosZaKpCq3RNG6nSko3cWgqDk2lNNBf6PUUk30bH0J/MbnHqGp3zs13viOSj594Au68U4ibpUuFF+e446C8PD/nlEgkkmHINWKwRz/ypgCj+qbfvn07f/3rX7OzSG644Ybs3I2HHnqo10yUvY2Besp4XVq/0EtfD8xYDFX0uxx4nQ50j8W2FoP6jgSGZWMDmiK8NiD6z7y5rY3qEi+GZTOnxM85B1Vnw0PDCYYSv4vyoBuHqhBLC8+IQ1WpKPAwvzyAU1PY3BSlPpwcMhTUU+C9V9tObVucSNLA59KoLvGxsqZ4QKE3GjGZNzQNDjtMLFddJaqsnngC/vd/4X/+R1RWnXACHHMMlJTk//wSiUTSxbj/yJukjOrVffvb3+aSSy4BxOCym266iT/84Q+88MILfPe73+Wf//xnXo2caozWA9O3omlPmVXkpcjr5K3tbWIelKpgWzYKNqYtHgdcGqZpsbM9Tn1ngtnFPuZ3JdnmKhgCHgcuh8phoVLiaZO0aeHS1OxICMOycv6V0FPgDdV5uO/7NhoxmXfcbjj2WLFEIiIf54kn4Kab4Kc/hf33FwLnE5+A6uqxtUUikex1TOiPvEnEqGZFFRcXs3PnToLBIH/4wx949tlnuf/++2ltbWXRokW0traOha15IddZE/lgovsIWJbNjY99xNMfNaIgGvBpXefXTSubiBvwOHB0rV9ZU0wsbVLid3HxEXMBemXY9xUMFx8xF7dDG3QGFkAkqdMR1/n2cYvyKtz60rPEMWWIXyYLKgJ7FM7LC21twpPz/PPw+usiETkUEgLnE58Q3Y8neRg3Uh/hnVve4cCvHEiwanpXVEgkU5m+VVEDfWdP1aqoMZ0VpWkaHR0dBINBnnzySU444YTsNpln002+PTAjZXdHgo64zsFzi9nSHKMtrqMAqqpS4HGR1E2Shkmxz4XLodIeT+N2asws6h518NVj5g/rfbIse1L8ShiLcF5eKCmB004TSyIhxM3zz8Pf/w5//rMoIc94clauBGd/cTjRBKuCfOK6T0y0GRKJZBjGKmdzKjEqYXPcccdx/vnns2rVKp566il++9vfAvDiiy9yzDHH5NVAyejJJJKFygIUeJxEkwZOh4LHoWEDte1xNFXBsm30rjlVA406GE4wTJpQEBMvJofF64VPflIspgnvvy9EzvPPw/33QzAIJ50kqqzmz59gY7tJhVPUvlZL9apq3AWTY6isRCIZmEn7I2+cGFW5980338zy5ctZu3Ytd911F7NmzQLgoYce4rrrrsunfZI9oGciWYHXSUWBGOHgcqhYdleXYFVBBaJJgxK/q9eog54l0hnBsLiygOoS34DJzxcfMZflMwsHLemW9EHTRHLxd74D//yn6I1z1lnwzDPwuc/Bf/yHyNFJpyfaUto2t3HXiXfRtrltok2RSCQ5MNx39nRmVDk2U5nxzLGZaCzL5vfPb2FtXScLKwK0x3Xer+0gkTZwaio722L4uxJzfS4HK6qLsl2BR5sXMx55RROduzTm6Dq88AI88IAoJS8qEmGsz34WZs+eEJPMtEmsKYa/wo/m0ibEBolEsneT6/VbCptpTt9EsoRusrEhQn1nkljKwOVQBxx1kOl4/NVj5k8q0bDXzUDZsUMInEcfhXBYlJWfdRYcdZTw+EgkEsleQt6FzUiSgiezVtrbhA30rxZyaaLHzMwiD+/u7CClm8ws8k767Pn+M1Ac2blVk9HevJJKwdNPC5GzZo1IOP7sZ+Gcc2Ac/o7bt7bzzPeeYfXPV1McKh7z80kkEklf8l4V9fTTT+fFMMn4M1Qi2RELIpMue36gUBOwd89AcbvhlFPEsnFjd0XV7bcLgXPBBULsjBHJjiQf/f0jjrzqyDE7h0QikeSDnIXN6tWrx9IOyRgzWLXQZMueHyzUtH91IVuao1QWuLOTz3s2AexZxTWpq6LywaJFcPXV8NWvwn33wd/+Jm4//Wn4whdgzpyJtlAikUgmjOndV1mSE5OlRLp/qMlLPG2wtq6TdfWdNIWTOFSVjoSOYYop4MU+FwsqAhR4HTl1N55WicclJfC1rwkx88ADcNdd8MgjopT8i18UM6skEolkL2PUwuapp57i73//Ozt37sQwel9MnnnmmT02TLJ3YVn2kKGmV7e0sKU5RoHHSbHfhdPjQDdtmiNJoimDhRX+YWegbG6K8MSaBtbs7iSmG/idDvadVciJ+1ZOitycUYsunw8+/3lRIv6vf8Ff/woXXQSHHCIEzsEHT/rOxhKJRJIvRtXH5v/9v//H2WefjaqqPPnkkyxfvpx4PM6zzz6b7WkjmbxYlk1tW5wNDWFq2+JY1vgkew913t0dCbY0i+Z+AyWqW7aNYdrYtoVLU1AVBbdDpcTv6vLqhJlf7h+0u/Hmpgi/emYT//ywjs3NUeo7kmxujvLPD+v41TOb2NwUGbPXnQubmyL8/vkt/M/TG/nNs5v4n6c38vvnt4zMLpcLzjhD5N/87GeiiurrXxci59lnwbLGzH6JRCKZLIzKY/PLX/6Sv/3tb5xwwgnccsst/OpXvwLgRz/6EevWrcunfZI8M1Hl0sOdN9Ml2efqL0wiSYNoyiTodeByarTF0gQ8Dpyaim5aGKaFZSnsX100oIfDsmzufn0nH9R24HKoBD1OnJqCbtpEkjof1HZwzxs7uebkpRMSlhoqBFfXmRh5tZeqwurVYhjnm2/CX/4C3/ueCE19//syRCWRSKY1o/LYbN68OTs6weVyEYvFAPjWt74lw1CTmMwFdG1dJ0U+J6GyAEU+J2vrOrntle1j5rXI5bw9uyT3JW1apA2LoFuEjiqCHpK6RUc8TVK3qCryUl3ioyw4cKv/2vY4r29rQ1UUSv0u3A416/Ep9btQFYXXtrZR2x4fk9c/FH1DcEGPE01VCHqcLKwI0BZL89S6xtF51RQFDj0Ufv97+NOfwDBEPs5Pfwqdnfl/MRKJRDIJGJWw0XUdj8cDwOzZs1mzZg0AbW1tWNLdPSEMF14a0wvoMHblct6qAg/zywPUdyb79UFyqgppwyLgcVBd7OOgucWsCpVyyLxSVoVKWVIZpCzgHjS/ZltLjI5EmiKfs1+YS1EUCn1OOhNptrXERvX69iSsN1QIrm+11x6x//5wxx1w5ZXw1FOiRPzhh2V4SiKRTDv2uCrq3HPP5bzzzuP000/niSee4KSTTsqHXZIRkEt4aXdHgs1NEYJuB62xNE5NXER108alqVQWuMekXDrXC3d9ODnoIM2GcJLyoBtfl3BRFIUCr5iA3bNL8lDTwxUbbAYTHaMTc/kI6w0VggMxsyuXaq+c0DTR0G/1avj1r+HGG4W4+d73YMmSIZ9auqiUL736JUoXle65HRKJRDKGjErYZDw0ANdffz0FBQW89tprnHHGGVx99dV5M04yPLnmZ6yvD7OuLoyiQEI3iadNAHwuDZ/LQZHXicuh5ucC2oORXLgXVxZw8RFz+zUM3G92EWcfFOTfG5pGNT08VOan0OckHNfxFGi9BJZt23TGdYq8TkJl/pxfV77yYnqG4IIeZ7/tibQ5bLXXiCkpgeuvF4nGP/+5SC4+6yxROj5IN09XwEX1qur82SCRSCRjxKi+LZcvX959AIeD733ve3kzSJI7w5VIZ7rxWhY8tqaeaMrAqSlEkjqGaaMqCgmEuKnvTKAqCi2RFFTmz8aRXriHahg4p9Q3qi7Js4t9HBYq5emPGmmNpgh6ndnE40hCx7Lh0FAps4tz81Tl+r7n0gV5VpGX+eUB1tZ1EnA7+omu+s7ksN6oUXPAAaL3zX33wR/+IEY2fPOborux2jtKHd4V5rVfvsaqK1ZRMHvvGEUikUimJqMSNslkcsjtmfwbydiSS5hnU2OEjnia1mgKTYH6ziSWZeN0qDhUSBkWkaSBx6GhaQof1HZw+Pyyfhfk0fZYGc2FO99dklVV4fxDa2iKpNjYECGSNBDhJwVNVdl/ZpDzD63JuSJqJHkxw4X1VFUZNASXizdqj9E0OP98OP54+NWv4IYbRHjq+98XHY67SIVTbHlyCyv/Y+XY2CGRSCR5YlTCxusd+tfjZB6COZ3IJcyzrSVNfThJRzyNadugKGhdP8bThgUKGHGb6mIny2YG2dIc63dB3pNcknxfuEfbJXlBRZDLVy/kibWiQV88beJzaew3q2jEpe75zotZUBEcMAQ3rjO7yspEzs1nPiPCUxdeKATPV74CXi/lS8v5+rqvj70dEolEsoeMSti89NJLvR5blsWmTZu4/vrrueKKK/JimGR4cgnzKCg0diZRFSjxu4mmTGzbxrBsFEXBtCxUxWZBhZ+qIi/bW2K9Lsj5yCXpe+Fu6Exi2jZVhR6OXTKDUFkg7+/NYHZ8PQ9zscYiL2bSzOw68EC4+24RorrlFvj3v+EHPxBdjCUSiWQKMCphc+SR/Sf8Hn300SxevJirrrqKyy+/fE/tkuRALmGeykIPm5qiBD0OHKqCU1PRVFAQwRjdtDFMC69T63dBzmcuSebC/eqWFp75qIn6zgSN4SQPvbubD2s7x7xBYIZ8zMUaq7yYyTKzC4dD9Lv55CfhJz+Br3+dhoNP5ba7XFz84sVUrshjEpZEIpHkmbwOwVyxYgXvv/9+Pg8pGYJcwjxHLSzj7R3tpHQLv0vD69SIpQ28Tg2wSZs2LoeKU1P6XZDzmUsCsLUlyuNrG2iLpZlV7MXncuxZh90JYsLzYsaLmhqRVPyPf2D/+P+RjhyM/fIrsP9n5eypvRnLAl2HVKr7Np3uvfRdN9g+ui6O6XKJxekEt1vcOp3d60ZzX9Pk3+leSl6FzZ///GcqKiryeUjJMAyXn+F2aNSU+Khti9Me1wm4HaQMk1jKAAU0VcHnclDXmWR2sa/XBTmfuST59P5MBiZFXsx4oCiiLDy4CFbfD7/7Hbz1T7j8clFVJRlf8i0qMtty3UfXu8XISFCUbtHicnWLF5dLbE+ne7+uzGPTHP17lTnnngqksbgvBdeYMiphM3fu3H7rOjo6SCQS3H777Xtqk2SEDJWfYVk2B1QXk9ItDMuiPa7jdWmiJV3XPwUeB4fMLe0XDspnLkm+vT8TRd/qsC8fOY/3d3fQGktT6nexsroYh0MdcN8JyZnJF8XF4vaaa+CJ2+DLXxahqssuE54dyfBYFnR0QFOTWJqbxdLUBO3tQ4uUPRUVGY9IRlT0fNxTaBQW9n482L65Hi+zzeEY3cU8I+R6ip2xup9KQTSa+/57gsPR/b5k3rOxul9YKDqP70WMStj84Ac/6LeuuLiYQw45hOpq2cRrIhgsP6Nn2KQ1mmJ2sRdNVTBMm6ZIkoDHyfmH1AxY4p3PXJJx7bA7RvStDksbFindwu1UcTlUPA6Nt7a1c8LyGQATMmx0zFmyBM67HZ58Em6+Gc4+WzT3+/KXoahooq2bOJLJbrHSV7RkbltaxLyuDKoqqtHKy0XTxKFERd91IxEeoxUVkwFVFa/HPfAcuAnDtsVnOV6iKxLJff++Y1IWLIB7752Y92mCGJWw+Y//+I982yEZQ/qGTeJpA7dD47BQ2ZBhk3zmkkxIh9080rc6LKlrvLOjjY6ETrHPycqaYjxOjbV1naxvCANgWnZ+pnVPNlQVTjoJPvUp8YX55z/Do4/CJZfAued2hxemA5YlvCk9BUpGpPT0vET6DJD1+6GiQoiWmho46CBxP7OuvBxKS/s1QpRMEXqGuSYbltVb8OyF7VdyvooM15SvJ7JB3+RjtOXEueaSDBd2mdAOu4OQa6iob34QwPr6dkzLpqbYS3tcZ3trnIPmFLOg3M+T6xpBgROWzkDtunBN1VyiIXG7RfXUaafBH/8Iv/0t3H8//J//A8cdN/kv2olEb7EymJelZ55HxstSUSGWgw/uLVYy932TN5wqmeaoKng8YtlLyVnYDNeUryeyQd/kZE+a2w0linJp4DfZKolG0nSwb35QOKHTHk8T8DhRVZWAx0FbLN3V0RjRCNGGaMqkwNt9cZ9KuUQjorgY/vM/4XOfg9/8RuTh3HWXSDBeOQGdii0L2tqGDw1Fo72fFwh0C5O5cwcWLSUlk1+wSSR7OTkLm9deey17/9VXX+XGG2/kiiuu4OCDDwbgrbfe4pe//OWA+TeSqc9gomgkDfwmSyXRSJsO9s0PSpsWhmnh9Ij/Pk5NJZYySJuZ2LYY19D9uJupkEs0EIqq4Aq6UIYSnnPmwH//N7z7rhjPcOml8IlPiPlT+UwwNgyoq4MdO2DnTti9u3doqKWld56BpnV7WcrLYd68gb0sI/jxJpFIJi85C5vDDjsse/9b3/oW999/P8cee2x23QknnMBhhx3GD37wA9l9eC9hNCXcw1VwjXUV0Whs7psf5NJUHJqKbtq4HQq6aaGpKq7MrArE87ofdzPZc4kGo3JFJVeFr8pt55Ur4S9/gaeeEuGps8+GM88UQifXBGPbFp6VnTvFsn179/1du7qFi9sNs2YJcRIKwaGH9hctxcXSyyKR7EWM6tt13bp1HHTQQf3WH3zwwaxdu3aPjZJMDUZbwj2Q92dP5lGNtc1984OCHgfFPhfNkSROn5No0qCiwEPQ48C2bTRFAQUCbq3X8Scql2hCUFU48cTuBOM//Qkee6x/gnE43C1YMh6YzG0mr09VYfZs4fU58kjhGaqpEbdlZVK0SCSSXoxK2FRWVnLbbbf1G51w2223UVVVlQ+7JFOAfJVw52Me1VjaPFB+0NwyH22xFDvbExR5ncwt9RFNGdR3JllUKWzd3Byb8FyifNH8UTP3n30/Z99/NuVLy3N/ossFF13UnWB8883wt78JT8rOnaKvS4aKCiFYli+Hk0/uFi8zZ4qSZYlEIsmBUX1b/PznP+dzn/scDz74IAcffDC2bfP222/z2muvcf/99+fbxl4kEgnuu+8+NmzYwKWXXkooFBrT80kGJx8l3OPdkXi0NvfND0oZJtUlPioMC7dDpTOhk9StbL4QMOG5RPnEXeBm/gnzcReMsp9IURFceaVIML7tNlFpdMQR3eJl9mxZSSSR7CmmKXLKAFpbYe1aWLVqerVgyIFRCZszzzyTtWvX8r//+7+8++67AOy777788Y9/ZJ999smrgT25/fbbueqqqzjkkEP4xz/+wYknniiFzQSSjxLu8e5IvCc2D5QfVFXgob7Lw9M3Lyjf07onspNxwewCTvjlCXt+oJoa+NGP9vw4Esl0paVF5Jd1dHQvnZ3Co/nZz4p97rkH7rije1tnp7hfUCAS6wFeeEHktm3fLn487EWM2r+7ePFibr755nzaMizLli1j3bp1xGIx/vGPf4zruSX9yYRodnfE+WBXB8U+V3aKeEM4lVPYZbw7Eu9p2flA+UGDCa58TuserxykwUhH0zSuaWTGvjNwBfauX38SSc6YZrcYaW8Xt0uXinAqwE9/2h2C7bl84QtwVVdy/pe+BI880v/Yn/xkt7DZtg0ef1wkzxcVia7VM2fCjBnd+++7L1x/vWgWuZcxpQLXmYTlWCw2wZZIeuJxajRHUmxujIIChV4Xq0IlnHdoDaGyALVt8UG9DBPRkXiylJ3nynjmIA1G68ZW/nz4n7n0nUupWinz6CTTGNsWPY6CXf+nWlrg+edFb6T29u7b9nb4n/8RYdSODtH7qLOz//Fuv13kmYGoFty0qXub1yuESTrdve6kk6C6WqzPLIWFYl2Gb38brrhi6CZ8CxfCtdeO/PVPA3K+WmRc9rZt9wsZ9GUyNehLpVKkUqns43A4PIHWTC96XnAPnVeKadlEkjpt8TQJ3WJHa3xYL8NEdSQebSfm8Wa6TUWXSMaNjEBpbRViJHPrcsFnPiP2efxxMbE+sy0jWjLDN1UVNm4ULQsG4sorhbAJBmH+fCFCiot7LytWdO//0EPdw0aLigaegfW1rw3/2mTPpSHJWdg8/fTTA97fE+6//37eeeedIfe58sorKS0tHfU5brrpJq6//vpRP18yMINdcIv9LqpLfLy3s4PfPLuJqkIvM4sG9zJMZEfifIaKxorpMhVdItkjLEuEeTKzmZ5/XoRjWluFR6W1VSyrVgmxAfDVr8Ktt/Y/1pIl3cKmvl7MOXO5xOyuigpYvFgIknRaeEQWLhTVfCUlYn3mNrOASNgd5loGwLJle/xWSIYnZ2GzevXqAe9nyMWT0xefz0fRMA27NE0bcvtwXHXVVb0aBobDYTmBPA8MdcEFiKcNmiMpDqguyoaYBvMyTLXQ0HgyHaaiSyT9iMdFgmwmUXblSiEqAL7+dWhoENsyS2sr/Oxn3aLl2mvhpZeGPseKFXDqqUKw9Fwy+S4A558v+ip5vYNPQC8vFzZJpgyjSlzYvn07f/3rX7m2K353ww03cNNNNxEKhXjooYdYtGhRTsc5+eSTOfnkk0djQs643W7ck23k/TRgqAtuJGkQSRm4HAq61TssOZiXYaqEhsabqT4VXbKXkE4LMZIZa9FzsOgPfyiqdWpr4aijxLp4vPfz//EP0esI4IEHxHN7jsJYuhQqK7v3/+534ctf7hYrZWXitqCge5+vfW34sM5ePChyOjOqb8Nvf/vbXHLJJQBs27aNm266iT/84Q+88MILfPe73+Wf//xnXo2UTD6GuuCmTYu0YeF2aAOOFch4GSJJvV9isQyn9GYyTkWX7GVs3Qpvvw2Njd1LczOkUiJHBcT4jFNPHfj5//EfQnAUFAivyLJl3SMvysuFKFm8uHv/N98UOSiFhYN7UTIiSCIZgFEJm+eff56//vWvADz55JOccsopfOELX+CUU07J2VszGt555x3uv/9+IpEIALfeeitPPPEEq1evHjA8Jhk7Brrg2rYtvDVJnXjaoNTvI+jp/yeWSJukDIuH36ujJZqakPLliWA0fWgm21R0yRTGtiESEUmxmbzFxx6DV18VYqWhoXtZuBCee07s8/DD8J3v9D+e19vdEG7hQlGyXFHRPasrc5vpoVJYKPJihmMv67kiyT+jEjaaptHR0UEwGOTJJ5/khBO6G3eNNM9mJLhcLoqKiigqKuKmm27KrvdId+K40/eC63Wq1HUkaY6miCZ10oZNSzRNWyxFaaD787Ftm01NUcIJHYeqMLPIOyHly+PNnvShkTlIkiGxLOFBqa8XQmLWLLH+pz8Vk9br68XS0ACJBFx8Mfz5z2KfRx6BW27pPlYgIEI+PfuhrF4tKodmzBBLRYW4DQa7PSr77CNKmSWSSYBij6I2+7zzzmPXrl2sWrWKm2++mY0bNzJr1iweeugh7rzzTh544IGxsDUvhMNhCgsL6ezspKBnPFYyKjY3Rbj7jZ08t6GJhG7idzsoD7gJeDQ+bogCcPDcYqqKvCTSJnUdSeo7ExR4nBxQU9SrjUA4obO5OcqymYVcefw+OBzTY7hh/z40DuJpI+txyVXITWTn4fat7TzzvWdY/fPVFIeKx+Wcez22LcqPd+8W3WQPOKBbcJxzjhgWWlcnBIvRlTx+003w/e+L+5/6lPC6OJ1CrFRWQlWVECqXXSb2Wb9e9GDJiJa9sJmbZOqQ6/V7VB6bm2++mWuuuYa1a9dy1113MavrF8JDDz3EddddNyqDJVOTUFmAEp+LmlIfs4q8uB0aQY8ITVUWeHlzexsfN0RI6hYep0ZNqRfDsqgp8WVFTVsszeamKO3xNEndZEdrHNu2Oefg6invjchnH5qJLE8vDhVz9v2D9PKQjBzDEF6U2lohXD79aSEqmprgrLO6xUxmwjnA3/8uWuQDvPaaqBaaNUuUOFdViWqfriamAPz1ryI5tqRk8AnoS5aM3WuUSCaIUXlspjLSY5Nfatvi/M/TGynyOQes2gkn0tR1JDnv0BrmlweIpHR+++/NhMoCaKpCWyzNezvbiSR1PE4HTgdEEjrVJX7mlPqnfFhquPcnktTpiOt8+7hFkzpx2kybxJpi+Cv8aK49a8Ew7cmIlp07hTclI0befVdU6ezaJdZbVvdzPvxQtMBPJESSbWWlEC09l9NP706yjUaFEBrD0L9EMtkYU48NiNDBxo0b2bp1KyeddNJoDyOZ4gzXZ8XnduDQFCoLPVSX+Khti2erqQJuBx/u6qCuI4GiQDgp3OmaqlDmd9MWS+e9q+54h3OmSx+aprVN3HrgrXKkgm2L0M2OHSIR96ijxPrHH4ef/ESImbo6kVSbIZEQnhOHQwiY2bPhmGPE7axZ4jbTw8XrFV6a4fp3BQJj8vIkkunAqIRNU1MTZ555Ji+//DLQPULhhBNO4D//8z859thj82ehZFIz0j4rPaup3Joqwk6A16GiAPG0iaLA5uYoi2YE8tpVdyIGSU6XPjQlC0q44IkLKFlQMtGmjC22LcJB8TjMmyfW3Xsv3HmnEDMZQQNiUvmOHeJ+PC7KlKur4cgjxbbqarFkPDP77iv2G87LsodNSSWSvZ1RfZteccUVzJw5k9bW1l7jDq6++mquv/56KWz2IkbaZ6XnRPBXNreQNiwKvBo2kDIs3E6VGUE3Cd1kd0eSUr8zL96M0Q6S3FMPz3TpQ+MucLPghAUTbcaeY9ui3NnVNaH8/vu72/Nv3y6WRAKOPRaeeUbss22bKIsuLhbzgObOFSXJoVD3cU8/XXhaBstlARk2kkjGiVEJm6eeeooPP/yQkpLev94OOOAAXnvttbwYJpkajKbPyoKKIJ/et4q3trWjqpDQLRyqit/toMTnxOtyoGkmLdEURV7nHnszRpvAmw8Pz3TpQxOpj/DOLe9w4FcOJFg1RXKeXnoJ1q0TDea2boUtW8TtBReI8mUQIaTbbhP3y8th+XLhqTnkkO7jfOMb8H/+T/e054FwTG6Pm0SyNzGq/43RaBRv13TRnr9AW1tb5fiCvZCR9FnJeEA6kzolASeqCuGETnnQjcepZf+eHKpCLGUws8i7x96M0QySHK2HZ0/fn8lKtD7KC9e/wD6n7TM5hE0yKUTK5s1i2bRJ3H7+83DRRWKfq66CV17pfk4gILwsVT1yhK66Cq64QnhhBstbkUUGEsmUYlTC5vDDD+fOO+/kG9/4RvZCYRgG1157LUcffXReDZRMDXKZ9ZTxgLxX2y4u8J1JtK7tKcOiosBN0ONENy3aY2k8DpX9ZheysSmyR4m+I03gzWeJ9kjeH0kfdF2Il40bxXLiid3TkefMEbkwfenpabnySjG8cP58IWjKyvqHgxYuHDv7JRLJhDAqYfOLX/yCT33qUzz99NPYts3XvvY1nn32WRobG3ml5y8kyV7FUH1WMh6Qna1xmiJJVBQCbgfRlIFTUzFtm4bOFIm0icepAQqlARcvbmzm6fWNe5ToO9IE3tF4eHJhIvvQTFpsW5Q+FxV1VwSdfTZ8/LEQNT2ri9zubmHzuc+JwYsLFghxsmCBEC/eHuL19NPH9aVIJJLJwaiEzcqVK3n33Xf59a9/zapVq3j//fc57rjjuOKKK5g/f36+bZRMcTIekNZoCsOyMC2b0oALv9tBfWeCeNok6NZwOTV8Lgc+l4ppiVLxYr8r26l3sDDQcAm+I03gnS4l2pOOeByefVZ0u12/HjZsELednWKI4nHHibLoV18V3XIPPxwWLRLt+hctgoMP7j7Wb34zca9DIpFMakad8RYKhfj1r3/db/22bduYlymTlEjo9oAEPQ62t8YJeJwoioLXpVFV6KU5kiSWNnFoKtGUQcDjoarIyQHVRcOGgXJJ8B1pAu90KdGeEAxD5LqsWwdr14rbX/9a5LXEYr2nMrvdQrAsXtw7j2XnTtnafy9gIkeESKY3eftmbm1t5cYbb+R3v/sdqVQqX4eVTAMyHpACjxPDtHD2mPjtdWnMKvbSEk2xuLKAjoSOz6kxt8w/bBgoZZg5J/iOJIF3upRoj4acLzaWJUJF8+eLvJUNG0R4aMMGESLqyaWXCmFTXg6/+pV4zuLFovpooJ4tUtRMeyaip5Rk72FEwqazs5PLLruMxx57jFQqxbnnnsvNN9/Mvffey+WXX04gEOD3v//9WNkqmaJkPCCmZeHQVHTTxu3ovlgalo3H6cgmDpu2jW8Qb0gmDBRJ6jy3oXlECb65JvBOlxLtkTLYxebEeQF8774ndvrJT2D328IbE4uJWUezZ4vE3G3bYOVKUTK9bFn30rMK6VvfmpgXJ5k05LPiUCIZiBEJm6uvvppnnnmGr33tawD86U9/ora2lpdeeokf/OAHXHHFFXg8njExVDJ1yXhA1uzuoNjnpDmSwuV3oSgKtm0TTRqUB91EkgbzKwI0h1PDhoGiKWNUCb65JvBOhxLtkbC5KcJtL29D3baNVc1bmbVrC8+c81XW1nXievUlTvnhNcBX4MEHwdUqBMt++3Un95aViVwZ2YROMgRjUXEokfRlRMLmkUce4eGHH+aQrpLKk08+mcMPP5wHH3yQz3zmM2NioGTq09MDEkuZaKpCazSN26mS0kVujUNTKQ24OGtlNU9/1DhsGCjgcYx5gu9eUaK9YQP2H/6A9/nXuGbTR/ji0eymj046i0BFFetj81j+2TM4pWQGhV98DA5ZLpJ7+yJFjWQYxqriUCLpyYiETV1dHQceeGD28cFdVQonn3xyfq2STDt6ekDeq22nti1OJGngc2lUl/hYWVOc9YSoKsOGgdwObVwSfKdFibZpityXt96Ct98W959+WgiR1laUX/+aSlWjdfY8dixcStP8pTQtWEK8qBRFUSiaWc7951zKt49bhG+qvxeSCUVWHErGgxF965umidYj2c/R1UbclZm7IpEMQU8PSCSlE02KCd9Bj7OXJySXMJBl2Xttgm/OvPKK6Kz77rsiHyaDywW7dokBjStXsv1f/+Z/GlxUzyzLNkzsidel0bQ7zIe3vUfpFw7AVybFjWR0yIpDyXgw4r+egw46aNh1b7/99ugtkkxrRpLjMlQYaG9N8O1HOCymSr/+Orz2mugLs2mTqDZyOERPmOXLRQ+Ygw4St8uXdw+B9HrRDj0U7emNQ15sPB0p3r7qBVZ+MiSFjWTU7M0Vh5LxY0TC5hvf+Ea/dYcddljejJFIejKcCNrbEnyx7e48luefh8suE31ibLt7n4ULobERZs6EAw+ESKR3N94ByOlic+hsvmpeO/2FomRMkT9IJOOBYts9vxWnP+FwmMLCQjo7OymQw+2mBdO20Vc6LcJIL70klg8/FM3vHA547z04+mgxG2nVKrEceqioThoFfUtw+15sZAmuJJ/0bC2QMkT4aUFFYHr+IJHkjVyv31LYSCSTjbfegv/8T3jjDUgkutcvWCBGEtTUiAZ5tj1wg7tRMtTFpqg9xT+++A9O/8vplO0zOvEkkfRk2v4gkYwZuV6/ZYaWRDIEY/rlm0iIHJh//1vcPvWUKKP2euGFF2D//eGoo8Ry5JG9G92pan5s6MFQeU31u6Lsen0XekzP+3kleyfTouJQMimRwkYiGYRc2r6PWPjU1cGf/tQtZjLjB5xOkfi7336wdCm0t0Nh4Ti8yt7Ii41EIpnqSGEjkQxALm3fgaGFj20LsfLUU/CNbwjxEonAtdcKj8uBB8KnPiWWI47onpGkqhMiaiQSiWQ6IIWNZEox2tDQSJ6XS9v3u9/YSVI3aY/rvYTP5s27KXryEcrrPqTwhWfFLCWAAw6AY44R06wffVQImaKifL0tEolEIukiZ2Fz7rnn5nzQe++9d1TGSCRDMdqJwCN93nBt3ysL3Ly+tZXyoJv9ZxaIfVSFqnALP/jasaiWmJ9kl5WhXHABnHiiCDGJA4Ds1C2RSCRjRs7CpqjHr8vOzk7uvfdeFi5cmB2x8M4777Bp06YRCSCJJFdGOxF4NM8bru27kkyx9L2X+eyud9jvvZd4/Kr/Ztf+hxItr2Tzkcexu3oh7y09lLMvPZ3qsgDQ5TFqi8sKEIlEIhljchY2f/jDH7L3L7roIq666ip+8pOfZH/R2rbNNddcw+7du/NvpWSvZrQTgUfzPMuyCSd0UrpJUzhJZZfXRjFNFv/7Eea/9iw1b72EOyXKsGNFpXg728UJFYXHfvBrDMtie0uMmGEBo/c0SSQSiWTkjCrH5qmnnmL9+vW93PSKonDllVeydOnSvBknkcDoJwKP9HkZAbK5KUJte4L2jzYRK/ZTsmQ+JT4Xq+74XwobdrG7ai6vLD2CyPEnEt7/oH6l1z3n3YzW0ySRSCSS0TEqYZNIJNi4cSOHHnpor/UbN24kHo/nxTCJJMNoJwKP5HkZAWLv2MlJHz7PFS8/QfWmtdxx1Dnc6fk6B84p5uHLbmCLqwgztAC3Q6U+nGShotBTMvWcd1NV4OGWF7eO2NM0GalYXsG3a7+Nv8I/0aZIJBLJkIxK2FxwwQWcffbZXHfddRx88MHYts3bb7/Nddddx+c///l82yjZSxiscmm0E4FzfZ7XqbHpFzfzpQfvYv7mDwEwNQcbVx5J4/KVRJIG7+xoJxFawcIZQY5fNgOA217ZPuS8m/pwclSepolmoM9Bc2kUzJaduseS1NatpHfsGHBb4JhjUFQVMxoj/tab/bZ7V6zAUVw81iZKJFOCUQmbX/3qV5SUlHD55ZcTiUQACAaDfOtb3+Laa6/Nq4GSvYOh8lBCZYFRTQQearijp72F1PpNLDj6CBTA9eH7zNu6ju0HHsnGo09k8xHHkSooQrVtjuhM0BbTOe/QGg6aU5L1rgw3gHNDQ3hUnqaJZLDP4fCAm83/9Tqrf76a4pC8gI4FiQ8+JPLEE73XrV0LlsXCV14GQK/bza6vfR3/4atQnK7sfs6Zs6SwkUi6GJWwcblc3Hjjjdxwww3UdvXpqK6uRh2DNu+S6U8ueSi5TgTu6204bmn382b5NJZ98DJLnnyIhW+/QFtlNZ1f/YC4bvKvk7/Ami9eRrqktJdtiqJQUeAhnjYp8Dp7hYyGGkEAuXuM+nqaJoqhP4c0c1piWKY10WZOW4o+cwZFnzkj+9hOp9l09DEUfuYzKH2+W2f+/Oc4ysvH2UKJZGqwR9+oqqoyZ86cfNki2QvJtXLpq8fMH9ZDMpi34WRvDP+df2D+0/8gEOkAoGmffVG+cBELSn3UhtOky2fQ6nMyUBrvUAJkqBEEQ3mMhvI0TQTDfg5EmXXtkRTPL5lgS/ceIs8+i9nRQdHZZ/Xblly/HmXrNlxz5+KcUTEB1kkkk5dRCRvbtvnTn/7En/70J7Zu3UpjYyMAP/jBD/j617/OzJkz82qkZPoyksqloTwkfb0Nxak07W4Pa+s68W5ew5cevB1zxgxaP/9N0hd8nhmHHZj1rMwq0sZEgKiqkrOnaaIZtilhwM3m7e3ULo8xpzwwQVbuXXT8/QG8Bx2IOxTqvUFRaPqv/0L1B0h+9BHB44+n6sc3oHonXiBLJJOBUcWOfvvb33Lddddx9tln09TUlF0/d+5cbrzxxrwZJ5n+dFcuDayxvS6NlGFm81AyHpLFlQVUl/iy4acn1zbSFk3xqbq1nPeL7/D1c4+gunU3CysCvB3an0d+9ieUnbWU3vxrqg4/qJeYyAiQEr+LTU1RIkkdw7KIJHU2NUX3SIAsqAhy8RFzWT6zkI64zvaWGB1xnX1nFU6qUu/hPgfPrjCFX/oXu9+rH2fL9k70ujpir71G8dln91qvFRQw5+67CD3yCHPvvYfQP/9B7NVXaf7VryfIUolk8jEqj81vf/tb7r//flatWsV3vvOd7PoTTjiBa665ht/97nd5M1AyvclHHkrdzkYq7/wTZz9zPxW1WwBoXLAMT7gDZdZcKov9POdeyYqoTnVJ/3NAtwAZKtQ1WobLxZkMDPc5JLuaDXqdkyMfaLowWCVgx4MPoQYCBE84odf+zspKnJWV2ceuuXMp+tw5hP/xT2Zc9f3xNl8imZSM6ltq+/btrFixAqCX2zoYDNLR0ZEPuyR7CXuch2KazDj8QM6sr8NwOvlo9el8cOoFNCzeT8xlIvfqo7EUIEPl4kwGhvscWqJpyoCKoHvijJxmDJYTdvzScpQHH6Tw1FNRPZ5hj6MVFGK0tIyDxRLJ1GBUwqampob333+fVatW9foCfPjhh9lnn33yZpxk+jPiPBTDgIcfBqcTTj8dNI3Yly7l5a1tbPj0WWgzZvQ7x0iqjya7ABkrhvscSj2O7H6SPWeoCjT7rdc5tq6OonPO7vc8o729X1l39Pnn8ciO7xJJllEJm29+85t84Qtf4Be/+AUAb7zxBk888QS/+MUv+M1vfpNXA/uybds2Xn/9dRwOB4ceeig1NTVjej7J2JNTGCiRgNtug//6L9i+HZYuhdNOA0Wh4IZr2fH8FrbUdbLQtid19dFkZqjP4aDKQh6faAOnCcNVoFU/+AzhuYtwLVzU77ltt/2FdO1O/KtWobhchB9/nOSaNVT/8dbxfhkSyaRlVMLmsssuI5lM8qUvfQnLsjjssMMoLCzk+uuv55JLLsm3jYC4QJ1zzjm8//77HHzwwcTjcS666CJ+/OMf893vfndMzikZPwYNA0XCcNNN8KtfQVMTeL1w2WVi6bogTKXqo8nOYJ9D4/sNE23atGGoCjTVMvFpCm8cdgozB+hIXXHFt4k89xzR51/AisXw7rcfM2+8Ufa0kUh6oNi2bY/2yaZpsnXrVizLIhQK4XQOnJiZDyzL4sEHH+TMM8/MfhncfffdXHjhhWzatIn58+fndJxwOExhYSGdnZ0UFMgW8ZOeRx+FU0+FoqJuQTPIl3jPnIWUIcJPCyoCe5z8K4H6d+u59cBbufSdS6laWTXR5kxpNjSE+c2zmwiVBdAGENuZ6fCXHbuQxZXyO0oiyZDr9XtUHpuDDjqIY489lp/+9KcsXLiw37a33357NIcdElVVOeus3o2qVq/+/+3deVhU5dsH8O+w77sgWwqiqYi55JqJS2ppaua+Z5qWlblVGm9qqaX+yqVNSS0zNbdKzcoltSwLK8wUxQRENtn3HWbmef+YmBzZhmHgMMP3c11zwZzzPGfucwaYm/Nsj0AIgX/++UfrxIaauFu3VM1Nr74KtG4NDB8OfPwxMGkSYF9zcmIIo4+IDG1GaiJDo9NvTnh4OOLj43H58mUcOHAATk5OGvsay7Fjx2BqaooHHnig2jKlpaUoLS1VP8/Ly2uM0KiuEhKAVauAXbsApRJwdwfeeAMwMQGeeUbrwzTXzr8NzczKDC06toCZFT9s68uQZqQmMkQ6NUXJZDLExcXhiSeeQEFBAY4dO4b27dur92l7yDNnziAyMrLGMtOnT4ejo2Ol7deuXUPfvn0xf/58vP3229XWX7VqFd54441K29kU1URkZqr60HzwAVBaCnTuDPzf/wFPPgmYmkodHVGDuHdU1L19wprS5I1ETYW2TVE6JzZCCBQVFeHpp5/G999/j3379mHEiBF1Smz27NmDsLCwGsusWrUKbm5uGtuio6MRHByMQYMG4bPPPqtx8c2q7tj4+voysWkqnn8e+OgjwM8PWL0amDxZdZdGItVNmEakb+wTRlQ3jZLYVHjrrbewcuVKrF69GsuXL9c6sdFFTEwMgoODERwcjN27d8O0jv/Vs/OwxMrLVfPQjBunGtWUmAh8/TUwbx5gYSFpaNVNmDasEz9oUi6n4NP+n2LW+Vlo2aVl7RVIK0ykibTXqIkNABw/fhxTp05FXl5egyU2t27dQnBwMPr3769TUgMwsZGMEMDhw0BICBAVBXz1FTBmjNRRqVWeMM0MRWVyNg38qyC1AFf3XkXQ1CDYeXARTCJqfA06Kuqvv/6qtO3xxx9HeHh4g4yIAoDi4mIMHDgQZWVl6NmzJ7Zu3areN2jQIHTkzJtN1/XrwHPPAefPq2YMXrAAeOihBn9Zbf8brm3CtKi0Apy6lgp/N7tm+9+0nYcd+izuI3UYRES10imxqVgn6l4BAQEICAioTzzVUiqVGDlyJAAgKipKY1/37t0b5DVJD/73P+C111RLIYwbB2zYoOpP08Dq0qxU04RpMpkMno5WiE4rQFIVE6Y1F8XZxbj1wy34P+IPa2eO1iGipkvrxOapp54CAOzatUv9fXV27dpVj5CqZmtriw8++EDvx6UG5uUF+PoCH34IPPZYo7xkTevw3MktrtSsVFgmR4lcARuLqj+wtV1E05jlxObg8ITDmBs+l4kNETVpWg8/kcvlkMvlGt9X96BmLDEReOopoGK14SlTgGvXGi2pubdZyd7KHKYmMthbmaOtux2yCstw6loqlMr/+oHdPWFaVThhGhGR4dD6L/WePXuq/J4IgKqp6f33gRUrgIICoEMH1ezBMplqfadGokuzEidMIyIyHtJNGELG4/Jl4MEHgcWLASsr4LPPgFdekSSU/5qVqs7ZrS1MUSpXaDQrVSyi6WJrgai0AuSXlEOuVCK/pBxRaQVcRJOIyIBofcdm0qRJWh90//79OgVDBujQIWDaNKCsTLX0wbp1gIuLZOHoug5PgLs9Zj3UWt3hODWvBJZmpgjyduSEaUREBkTrxObu9aByc3Oxf/9+tG3bVj0iKTw8HFFRUXVKgMgI9OgB+PsD770HDBkidTT1albiIppERIZP68Rm27Zt6u9nzJiB5cuXY+3ateoPDiEEQkJCkJSUpP8oqWk5cQKwtQUefli1Ave1a5Iug3C3imalO7nFiEorqHIdnpqalbiIJhGRYdNpmMepU6cQGRmp8d+wTCbDyy+/zInyjFlpKbB8ObBpE9CmDXDjBmBm1mSSmgpsViIiar50SmyKi4tx8+ZN9OrVS2P7zZs3UVRUpJfAqIm5cUO1QOXly6oRT/v3q5KaJorNSvpl626L3ot6w9bdVupQiIhqpNMn09SpUzF+/HisWrUKPXr0gBACf/75J1atWoXp06frO0aSkhDAzp3ASy8BRUXAs88C774L2DT95hpdm5W4MGFlDj4OGLZxmNRhEBHVSqfEZvPmzXBxccHChQuRn58PALC3t8dLL72EFStW6DVAklhpKbBtm2oY9969wBNPSB1Rg+IK31UrKyhD6tVUeAR5wMJO2lXYiYhqotPq3gUFBbCzs4NSqURCQgIAwNfXFyZNrK9FVbi6t5aUyv/6ziQnAwoF4OMjbUwNjCt8Vy/5UjI+7v4x5obPhWc3T6nDIaJmSNvPb50ykYoDmpiYoFWrVmjVqpVBJDWkpdu3ge7dgZ9+Uj339DT6pEaXpRiaE7cObngu4jm4dXCTOhQiohrplI14eHggJSVF37FQU/D770CvXqpOwhWJTTNQl6UYmiNza3O4B7rD3LrypIdERE2JTonN888/j5dffhkFBQX6joek9OWXQHAwkJmp6lfTjPpL6bIUQ3OSE5eDY3OOIScuR+pQiIhqpFPn4X379iEyMhKHDx+Gr68vLCw0OxNGREToJThqJEIA77yjWt/J3h44cgQY1rxGwOi6FENzUZxZjL92/oUe83vAqZWT1OEQEVVLp7/Sc+fO1XccJKXyctXdmvvuA44fB4KCpI6o0XGFbyIi46BTYrNw4UI9h0GSEAKQyQALC+DYMdXIJ8/mOeKltqUYnG3M0dnHETfT8nWa24Zz4xARNY7meV+dVJPtjR8PLFyoWrzS3V3qiCRX3VIMXo5WEAC+upSk09w2nBuHiKjx6JzYXL9+HUeOHEF8fDzkcs0OlTt27Kh3YNSASkuBJ58ETp4EWrRoEqtyNxX3LsWQnl+K76+mILuoYm4baxSVyRFxJxd3cotrndum8tw4datPRER1o9OoqGPHjqF79+44f/48QkNDkZGRgVOnTmHnzp1ITk7Wd4ykT+XlwKRJqqRm9Ghg+3apI2pyKpZiaOdujysJucgu0m1uG86NQ0TU+HRKbFauXImdO3fixIkTAIAjR44gJiYGc+bMQcuWLfUaIOmRQgE89ZRq1NPQocCBA4A55yWpTn3ntuHcOEREjU+npqgbN25g9OjRqgOYmaG4uBjW1tZYs2YNOnXqpNcASY/Wrwf27QMefhj4+mvA0lLqiJq0/+a2qXoklLWFKVLzSqqd26a+9YmIqO50umNTUlICW1tbAICnpyeioqIAAAqFAsXF/O+zyZo/X7U69/HjBrE6t9TuntumKrXNbVPf+k2JS4ALpp6YCpcAF6lDISKqUb0XeBo5ciRmz56NzZs3Y9KkSXj44Yf1ERfp0+3bqq9OTsDWrQAX/9RKxdw2ybkluHet2Iq5bQLc7aqd26a+9ZsSSwdLBAwLgKUD7/IRUdOmU2LzzTffqL9ft24dHnzwQezatQteXl4cEdXUvPUW0LEjcO6c1JEYnIq5bVxsLRCVVoD8knLIlUrkl5QjKq0ALrYWGBroUe18NPWt35TkJ+fjx1U/Ij85X+pQiIhqJBP3/itp5LRd9twobNmimqfGzw/4+WfA21vqiAzS3fPQlMpVzUcB7nYYGlj3eWx0qd8UpF5Nxd7H9mLq91PhEeQhdThE1Axp+/nNxMZYHT6smoDP21uV1Pj5SR2RQavvzMGceZiIqH60/fzWutdiXYZxp6SkaF2WGkBUFPD004CdHXD6NJMaPaiY20aq+kREpB2tE5vNmzerv4+MjMT69esxbdo09OjRAwDwxx9/YM+ePXj11Vf1HiTVUUgIkJ+vmqemQwepoyEjwKYoIjIUWic2kyZNUn8/aNAg7N69GxMmTFBvmzdvHoYOHYrQ0FD9Rkh1t3Mn8PjjwF3vD1F9KMuVyE/Kh7JcKXUoREQ10mlUVHh4OB599NFK2x999FGEh4fXOyjSUUGB6qu9PTBjhrSxEBERSUCnxMbOzg7ffvttpe3Hjx+Hvb1hjPIwOhERQOvWwJ49UkdCREQkGZ2mPA0JCcFTTz2F77//Hj169IAQAn/++ScOHDiA9957T98xUm0KClQjoDIzOfkeERE1azolNvPnz0e7du2wadMmbNy4EQDQsWNHfPfddxg8eLBeA6RaCAHMnQvcuAG8/DIwapTUEREREUlG50VqHnnkETzyyCP6jIV0ERoKfPEF0K8fsHat1NEQERFJqt5rRZGELl8GXnoJaNEC2L8fMDeXOiIiIiJJ6ZTYxMfHY8yYMXB3d4eZmVmlBzWSgABV35q9e7lcAhEREXRcUuGRRx5BWVkZnnvuOTg7O1faX9VQ8Kai2SypQEREZET0vqTC3cLCwhAdHV2nZRZIjw4fVs0sPHMmYMLWRCIiogo6fSp6enrCRKIP1LKyMvzxxx84d+4ckpOTJYlBUvn5wIsvqh6pqVJHQ81Exj8Z2NlnJzL+yZA6FCKiGumUnTz99NMICQlBWVmZvuOp0eeff4727dtj4cKFWLVqFfz9/TF//nw0qwXK164FUlKA114DPD2ljoaaCTMrM7QIbAEzK/ahI6KmTac+Nh07dkRkZCTs7e3h6+sLmUymsT8iIkJvAd5t//79GDZsmLpfz6VLl9C9e3ccP34cI0aM0OoYBt3HJjoaCAwEvLyAyEjAykrqiIiIiBpFg/axmTt3rs6B1cfdC3ECQIcOHWBmZoacnBxJ4ml0S5YAZWXAu+8yqaFGVV5cjuxb2XD2d4a5NacVIKKmS6c7NlJKS0vDr7/+iry8PHz22WcwMzPD0aNHYVXNB31paSlKS0vVz/Py8uDr62t4d2x+/x3o1QsYNAj44QfgnrtkRA0p+VIyPu7+MeaGz4VnNzaBElHja9A7Nvpy6dIlxMfH11hmyJAhsLW1VT9PSkrCrl27kJGRgZs3b+KVV16BpaVltfXffvttvPHGG3qLWTI9egBHjgBt2jCpISIiqobOic3169dx5MgRxMfHQy6Xa+zbsWOHVsf45ZdfcPbs2RrL9O7dWyOx6dq1K44cOQIA+Pvvv9G3b1+4urpi1qxZVdZfvnw5Fi9erH5eccfG4MhkwOjRUkdB1CTlfH0EaevXV9re9sIvkJmaShAREUlFp8Tm2LFjmDhxIoKDg3Hy5EmMHj0aly5dQkJCAoYPH671cRYsWIAFCxboEgIA4IEHHsCDDz6Ic+fOVZvYWFpa1nhHp8lLT1eNgFq5EvDxkToaoiZJlJbAxM4OrQ8d1NjOpIao+dFpuPfKlSuxc+dOnDhxAgBw5MgRxMTEYM6cOQ02aZ9CoUB2drbGtqKiIkRHR8PbmJcTWLEC2LEDOHpU6kiImjYTE5g5O2s8iKj50emOzY0bNzD632YRMzMzFBcXw9raGmvWrEGnTp30GmCF8vJy9O3bF2PHjkXHjh2Rk5ODTz75BObm5vW669Ok/f038PHHqiHe8+ZJHQ1RkyZPTUX0kKGQmZjAKrAj3F54EZb+flKHRUSNTKc7NiUlJep+L56enoiKigKguqtSXFysv+juYmVlhbCwMLi4uOD777/HlStX8MwzzyAyMhKexjhRnRDAwoWAUgls2QJwcVGiasmsrNDixRfgG7oN3ps3QQiB2+PGoSwxUerQiKiR1fvTcuTIkZg9ezamTp2Kr776Cg8//LA+4qqSo6OjRkdgo/bll8CPPwJjxgCDB0sdDVGTo1QKJOUUo7BMDtv+Q+HtZA0TE9WIQe///Q8xI0Yga9dnaPl/IRJHSkSNSafE5ptvvlF/v27dOrzyyivYtWsX2rdvj3fffVdvwTVbQgBvvAFYWgLvvCN1NESwsLdAm6FtYGFvIXUoAIDotHycjEhFTHoBSuQKWJmZok0LOwzr5IEAd3vIzMxg1b4Dym7dkjpUImpkOjVF3bhxQ/29vb09tm7disuXL2P//v344osv9BZcsyWTASdPAnv3Av7+UkdDBNe2rph2chpc27pKHQqi0/Lx6YXbiLiTCycbc/i72cHJxhwRd3Lx6YXbiE7LBwCUxcXB1MVF4miJqLHpNPOwTCarduHJmvY1BQa9VhSRRJQKJcoLy2Fuaw4TU53+H9JPHEqBrT/GIOJOLtq626nXqWv/5Q4k9RiIS+Zu6OxhjTHXTiNrxw7c9+mnsO3VU7J4iUh/JJl5OCYmBq6u0v9HZ9B27QIsLIDx4wFzrslDTUPq36lNYkmFpJxixKQXwNPRSmPx3bROPdHx8MfolXQbUCqQE9AWvqGhTGqImqE6JTYBAQFVfg8ASqUSd+7cwdSpU/UTWXNUVgYsX676OmYMExtqMpz8nDDu4Dg4+TlJGkdhmRwlcgVsLKw1tmfd3xkX7+8MRVkpbmeV4IUh98OuJe/IEjVHdUpsli5dCgB47rnn1N9XMDc3R+vWrTFw4ED9RdfcfP01kJICLF0KWFvXXp6okVg7WyNwfKDUYcDWwgxWZqYoKpPD3qpy4l+kNIGFhTlsLTg9AlFzVaff/meffRYA4ObmhnHjxjVIQM3aRx+pOg7/e52JmoqC1AJc3XsVQVODYOdhJ1kc3k7WaNPCDhF3cmFnaabRHCWEQHJuCYK8HeHtxH8MiJornXoB3p3UCCFw+vRpHDx4ECkpKXoLrNm5ehU4fx549FHVCt5ETUh+Uj5OLTmF/KR8SeMwMZFhWCcPuNhaICqtAPkl5ZArlcgvKUdUWgFcbC0wNNBDPZ8NETU/dUps/vnnH8yYMUNj25NPPomhQ4di4sSJCAwMxN9//63XAJuNrVtVX+fPlzYOoiYuwN0esx5qjU5ejsgpKsftjELkFJUjyNsRsx5qjQB3e6lDJCIJ1akpat26dRg2bJj6+dmzZ3H06FEcOnQI/fr1w+LFi7F69WocPnxY74EavQEDgLQ04LHHpI6EqMkLcLeH/wC7/2YetjDTmHmYiJqvOiU2Z86cwVtvvaV+fuLECfTv31/dNLV69WoEBwfrN8LmYsIE1YOItGJiIoOvi43UYRBRE1OnpqjMzEzY2/93mzcsLAz9+vVTP/f29kZmZqb+omsOhAB4zYiIiPSiTolNmzZtcOLECQBAWloaLl68iAEDBqj3x8bGws/PT68BGr0ffwS8vYHt26WOhIiIyODVebj3zJkzcfDgQVy+fBn33Xcf+vfvr95/8uRJDB8+XO9BGrWPPgJKS4HOnaWOhIiIyODV6Y7N/PnzsXHjRuTn56NHjx749ttvYWHx32q/ERERWLBggd6DNFpJSapJ+bp3B3py6nciIqL6qvP0nPPmzcO8efOq3Ldjx456B9SsbN8OKBSqId4yjuagpsve2x5D3x0Ke28OpSaipk2n1b0NWZNZ3bu8HGjVCigpARITARuO7iAiIqqOtp/fOs08THrwxx+qeWtmzWJSQ01ecXYxrh26huLsYqlDISKqEVeKk0rfvkB8PGDC3JKavpzYHByecBhzw+fC2pnrMBFR08WmKCKqlVKhRHlhOcxtzWFiymSciBofm6Kasg8+AA4fVnUcJjIAJqYmsHSwZFJDRE0e/0o1tvx8YPlyYMkSqSMh0lpmVCb2DNuDzCjOkk1ETRsTm8a2Zw9QUAA8+yxgaip1NERaKcsvQ8ypGJTll0kdChFRjZjYNCYhgA8/BCwsgDlzpI6GiIjI6DCxaUx//AFcuwaMHw+0aCF1NEREREaHiU1jOnlS9XXcOGnjICIiMlJMbBrT/fcDw4YBAwdKHQkREZFR4gR9jWnCBNWDiIiIGgTv2BAREZHRYGLTWF5/XdW3Jj1d6kiIiIiMFpuiGsuhQ0ByMuDkJHUkRHXm1sENz0U8B2d/Z6lDISKqEe/YNIaEBOCff1Sdhs3NpY6GqM7Mrc3hHugOc2v+/BJR08bEpjGcPq36OmSItHEQ6SgnLgfH5hxDTlyO1KEQEdWIiU1jOHVK9XXoUGnjINKRvESO9GvpkJfIpQ6FiKhGMiGEkDqIxqTtsud6o1QC7u6AnR0QGwvIZA3/mkREREZG289vdh5uaGVlwGuvqfrWMKkhIiJqUGyKamhWVsDixcCLL0odCZHOki8l4w3ZG0i+lCx1KERENWJi09CUSqkjICIiajaY2DSkoiLA0xNYvlzqSIiIiJoFg01s8vLyEBYWhri4OKlDqd7580BaGmBisJeZiIjIoBjsJ+60adPQt29fbNq0SepQqsf5a4iIiBqVQSY2W7ZsQUlJCYKCgqQOpWanTgG2tkCfPlJHQkRE1CwYXGLz119/YcOGDdi1axdkTXn4dHIyEBEBBAcDlpZSR0NERNQsGFRiU1BQgEmTJuGDDz6Al5eX1OHUjM1QREREjU7SCfpiYmKQnp5eY5muXbvC8t87HvPnz0f//v0xZswYrV+jtLQUpaWl6ud5eXm6BVtXwcHA5s3AyJGN83pEDcjE3AT23vYwMTeo/4WIqBmSNLHZt28fvv322xrLHD58GD4+Pjh+/DiOHTuGL7/8EmFhYQCAoqIipKSkICwsDL17966y/ttvv4033nhD77HXqlUr4KWXGv91iRqAR5AHFiculjoMIqJaGcxaUYcPH8Y777yjse3q1atwcHBAq1atcOHCBZiamlaqV9UdG19f34ZdK6qoSLWEgrl5wxyfiIiomdF2rSiDua88btw4hIWFaTzatm2LiRMnIiwsrMqkBgAsLS3h4OCg8WhwW7cCrq7ATz81/GsRNYLUq6nY6LMRqVdTpQ6FiKhGBpPYGJTTp4H8fKBDB6kjIdILGzcbdJvTDTZuNlKHQkRUI4Ne3btz585o3bq11GFoKilR3anp0gVwd5c6GiK9sPe0x4BVA6QOg4ioVgad2OzevVvqECq7cEGV3HCYNxmR0rxSJPyWAN8+vrB04LxMRNR0sSlK3zh/DRmhrOgs7H10L7Kis6QOhYioRkxs9O3UKcDKCujXT+pIiIiImh2DbopqkvbtAyIjAWtrqSMhIiJqdpjY6Fv79qoHERERNTo2RelTVBRQXi51FERERM0WExt9EQIYNEg1d41hTOZMRERkdJjY6EtMDJCYCPTqBchkUkdDRETULDGx0Zfr11Vfu3aVNg4iIqJmjImNvty8qfrarp20cRA1AGtXa3Sd3RXWrhztR0RNG0dF6UtUlOorExsyQk6tnDBqxyipwyAiqhXv2OjLzZuAiQng7y91JER6V15cjrRraSgv5qg/ImramNjoy0cfAceOARYWUkdCpHcZkRnY2mkrMiIzpA6FiKhGbIrSlw4dVA8iI+TazhVP//o0XNu5Sh0KNQKlUomysjKpw6BmxtzcHKampvU+DhMbfSgtVX215KrHZJws7Czg28dX6jCoEZSVlSE2NhZKpVLqUKgZcnJyQsuWLSGrx7QpTGz04ehRYNIkYOdOYNYsqaMh0ru8xDz8tvE39FncBw4+DlKHQw1ECIHk5GSYmprC19cXJibsrUCNQwiBoqIipKWlAQA8PT11PhYTG324eVM127C3t9SREDWIwrRChG0KQ+dpnZnYGDG5XI6ioiJ4eXnBxsZG6nCombH+d/HotLQ0uLu769wsxXRcHyqGerdtK20cRET1oFAoAAAWHARBEqlIqMvrse4iExt9uHlTNRrqvvukjoSIqN7q07+BqD708bPHxEYfbt4EAgIAPfTmJiKipi0pKQmJiYmN9nqpqamIi4tTP09OTkZ8fHyjvb6hYWJTX5mZQFYWm6GIiJqA4uJixMTEICOj4eZcCgkJwbJly6rdn5KSgqSkJL293qZNmzBv3jz187Vr12LBggVa1b1z5w4SEhL0FoshYOfh+rK2Bg4dAlxcpI6EiKjZio2NxZIlS/D999/D09MThYWFMDExwYsvvoilS5c2ar+hd955BxkZGdi1a1eDHN/Ly0vrjrVvvvkmMjIycPjw4QaJpSniHZv6srEBxo0DBg2SOhIiomYpLi4OvXr1gkwmQ2xsLG7duoXU1FRcvXoVxcXFyMzM1Cifk5ODqKgoFBcXV3tMbcrcLT4+Hv/880+1++VyOeLi4pCXl6fV8e7cuaMe+nyvWbNmYcmSJbUePy0tDdnZ2cjLy0NERAQiIiJQWFiI9PR09fOEhAQIISq9xt3NbTk5OTXegSopKUF0dDRKK+Z0u0dxcTGio6O1vpb1xcSmvqr4gSAiosazfPlyWFhYYM+ePWjZsqV6u5ubG1avXq2eE6WoqAhTpkyBh4cHBg0aBFdXV7z55psax9KmzL327t2LTp06VZvYHDhwAC1btsTDDz+MNm3aYNSoUUhPT6+ybEFBAUaMGIHWrVujW7duCAwMRGRkpEaZe5uiqjv+gQMHcPr0aVy8eBGTJk3CpEmTcPXqVXz99dfq57169YKHhwe++uorjdcICQnB9OnTMWDAAAQFBaFDhw7o3r07UlNT1WXkcjleeeUVuLi4YODAgWjZsiXWr1+v3q9QKPDyyy/D3d0dQ4cORYsWLTBjxgwUFhbWeD3rTTQzubm5AoDIzc3VzwEnTxbC31+IrCz9HI+oCSrKKhIRByNEUVaR1KFQAyouLhbXr18XxcXFUoeiNblcLuzs7MTLL79ca9lly5YJPz8/ERcXJ4QQ4qeffhIWFhbi6NGjdSozc+ZMMXXqVCGEEFu2bBFOTk7ip59+Uu9/5513REhIiBBCCIVCIezt7cWnn36q3v/dd9+JX3/9tcoYly5dKtq1ayeSk5OFEEIcO3ZMABDDhg1Tl3n++efF6NGjtTr+vHnzxNixY2u8Lvv37xd2dnYiJSVF4xxNTEzEt99+K4QQIj8/X3Tu3FksXLhQXSYkJER4eHiI8PBwIYTq5+ftt99W71+1apXo0qWLSEpKEkIIkZWVJfr06SMWLVpUbSw1/Qxq+/nNOzb1FRkJpKUBTk5SR0LUYKydrRE4PhDWztZSh0JS8Pev+rF7939lRo+uuszLL/9XJiSk6jKPPvpfmf376xRaVlYWCgoK4O/vX2vZ0NBQLF26FPf9OzVH//79MX78eGzbtq1OZSqsWLECa9euxdmzZ9G/f3/19iVLlmDNmjUAVHc1iouL4ezsrN7/2GOPoU+fPlXGuGPHDrzyyivqO08jR47EoBq6OtT1+HfLzMxEZGQkAgMDYWNjg7CwMI39wcHBGD58OADAzs4Oo0aNwuXLlwGo1hP78MMP8eqrr6Jbt24AACsrK3WnaiEE3n//fUyfPh15eXmIjIxEcnIyRo8ejSNHjtQaW32w83B9CKGanO/++wHO+0BGrCC1AFf3XkXQ1CDYedhJHQ6RWkWn4KKiohrLZWZmIjs7G506ddLYHhQUhJ07d2pdpsKRI0dQWFiI33//HV27dq0xvnXr1mHSpEno2bMnBg4ciPHjxyMwMLDKGHNyctCxY0eN7YGBgbh582a9j1/h999/x+zZs3H79m20bNkSlpaWVfaj8fLy0nhua2uL/Px8AKoh6Dk5OdWee2pqKjIzM/HRRx/hk08+0djn6OhYbWz6wMSmPpKTgcJCoF07qSMhalAFyQX4cdWP8Bvkx8SmObp1q/YyR4/WXmbtWtWjJpMmaRfTvxwdHXHffffhypUrNZazsbGBTCar1IG1qKgItra2WpepMHToUOTk5OD555/H6dOna/ywXrJkCWbPno1z587h+++/R/fu3bFr1y5MuudcK5YUqOr1a6Lt8SvMmDEDI0aMwLp162Bubg5AlcTUZeFTKyurGmOrSDg3btyIUaNGaX1cfWBTVH1UZNBMbMjItezSEsvzlqNll5a1FyZqZM888wz27dtX5V0NpVIJuVwOa2trtG/fHmfOnNHYf+bMGfVdB23KVLCxscHx48dha2uLIUOGIDc3t8rY5HI5lEolnJycMGbMGHz88ccYO3Zspc66Fce8//77ce7cOY34f/rpp2rPvbbjW1lZaSxPoFAoEBUVhZEjR6qTmuvXryM5Obna16iKs7MzOnTogOPHj2tsr3gtFxcXdOjQAQcPHqxUt6ysrE6vVVe8Y1MfXCOKiEhyr776KsLCwhAcHIzXXnsNvXv3RmFhISIiIrBt2zacPHkS3t7eWLNmDaZMmQIvLy/07NkTX3zxBS5duoTPPvtMfSxtylSwsbHBt99+i+HDh2Po0KE4depUpTs3qampePzxx/Hiiy8iKCgIiYmJOHv2bLUT/K1YsQJz5syBp6cnHnjgAYSGhiIuLg5t2rSpsnxtx+/QoQMOHTqE8+fPw8XFBX5+fujduzfWrFkDCwsLpKen45VXXtFpwckNGzZg7NixcHR0xMiRI5GQkICtW7fixx9/BKCaWHDUqFFwdHTExIkTUVJSgjNnziA9Pb1S85Q+yYRoXuOV8/Ly4OjoiNzcXDg41HOV4suXgePHVbdOAwL0Eh9RU5R+PR2Hxh/C+EPj0aJjC6nDoQZSUlKC2NhY+Pn5qZsaDIVSqcTBgwfx5ZdfIjY2Fo6OjggKCsLzzz+Ptnf983n06FGEhoYiJSUF7dq1w7Jly9ClSxeNY9VW5v/+7/+gUCjw9ttvAwAKCwsxbdo0uLq6IjQ0tFKScPXqVWzZsgVXr16Fs7Mzxo4dizlz5lS7LtKuXbuwc+dOmJubY8CAAbCyssKtW7fUHZjfeustpKamYsuWLbUev6SkBCEhIfjtt9+Ql5eHHTt2wMfHB6+//jquXr0KV1dXzJo1C/v27cPkyZMxefLkKs8RAHbu3InTp09j/10dvC9cuIAtW7bg1q1baN++PUJCQtChQwf1/vDwcGzZsgXXr1+Hm5sbhgwZgvnz56ub3e5V08+gtp/fTGyIqFbJl5LxcfePMTd8Ljy7eUodDjUQQ05syDjoI7FhHxsiIiIyGkxsdKVQAB06AEuXSh0JERER/YuJja7i4oAbN4AGXEGWiIiI6oaJja441JuIiKjJYWKjq4qh3kxsiIiImgwmNrriHRsiIqImh4mNriru2HD+GiIioiaDMw/ratQo1YzDNjZSR0LU4Dwe8MCy3GUwtzWXOhQiohoZVGKTk5ODgoICjW3m5ubw8PBo/GDmz2/81ySSiImpCSwdLKUOg4ioVgbVFLVs2TK0a9cOvXv3Vj+mTp0qdVhERi8zKhN7hu1BZlSm1KEQ1cvrr7+OOXPm1KnO4sWLsWDBggZ/HdIPg0psAGD48OFITExUP3744YfGD+LsWWDECODfhb6IjF3FHRsTU4P7k0HNwP/+9z88/PDDlbYnJibCx8cHv/zyi3pbdnY2Muo4/1hWVhaysrLqVEeX1yH9MKimqApZWVmws7ODhYWFNAGEhwPffQc895w0r0/UyJz9nTH+0HipwyCqUm5uLpKTkyttl8vlSEpKQklJiXrbmjVroFAoGjM8amQG9+/X119/DT8/P9jZ2aFv3764dOlS4wdRMdT7rhVjiYyZokyBvMQ8KMr4gUCG7d1338Wrr76qsW3jxo3o3LkzunXrhiVLlmDFihWYPn26RhmFQoF169ahT58+CAoKwmuvvYby8vI6vfbp06cxbNgwBAQEYODAgdi3b59636lTpxAQEIDCwkKNOhs2bMCQIUO0OgagajabP38+Vq9ejc6dO6vvZL333nvw8fGBj48PAgMDMX36dMTGxlaKUZtrUVsMUpM0scnOztZoVqrqcXdm/eCDD+LPP/9Ebm4u0tPT4e/vjyFDhiAlJaXa1ygtLUVeXp7Go96iogBTU8DPr/7HIjIAaRFp2OS7CWkRaVKHQlQv9zYRbdu2DatWrcKyZcvw+eefQy6XY+3atUhPT9eod/DgQSQnJ2P79u149913sX37drz//vtav+6RI0cwefJkTJs2Dd999x0WLlyIxYsX45NPPgEA9O/fHxkZGTh69KhGvR07diA4OFirYwCqFo3Q0FAkJSVh3759OHToEABg1qxZCAsLQ1hYGL744gtYWlpi8ODBKC0trdO10CYGyQkJLVq0SHh7e9f4iI2NrbZ+UVGRsLW1Fe+//361ZVauXCkAVHrk5ubqHrinpxABAbrXJzIwd8LviFVYJe6E35E6FGpAxcXF4vr166K4uFhje96dPHEn/E6Nj8L0QiGEEIXphRo/J+k30mutKy+VCyGEyIrJEhk3M+ocd0hIiDA1Na30+dGyZUsBQJw+fVpd9vnnnxejR49WP2/durVYvXq1xvECAwPFsGHD1M9nzpwpgoKCNMosXLhQPProo9XGdO/rtG/fXnz44YcaZT788EON486aNUsMHz5c/fzixYtCJpOJW7duaX2MmTNnijZt2giFQlFtbEIIoVAohKurqzh16pR6mzbXQpsY6qO6n0EhhMjNzdXq81vSPjYbN27Exo0bda5vbW0NT09P3L59u9oyy5cvx+LFi9XP8/Ly4Ovrq/NroqAASE4Ghg/X/RhERAYkPDQcP73xU41lRm4fiW5zuuHGkRv45plvsFKsBAAcfeooEsMSa6y7KGERHHwc8MOrP6A0rxTTTk6rc4y+vr74+eefNbYlJiaiT58+1dYpKCjA7du38dBDD2ls79u3L+Lj4zW2BQYGajz38PDQ6JRck+zsbNy4cQNvvvkmNmzYACEEhBAoLi7WaHqaNm0ahg0bhvT0dLRo0QJ79+5F37594efnp/UxAKBLly4wMdFskMnKysLbb7+NH3/8EWlpaVAoFMjNzVV/fmpzLeoSg5QMqvOwEAIymUz9PDk5GXFxcfD396+2jqWlJSwt9Tj/RmEhMGUK0KOH/o5JRNSEdZ/XHfePur/GMo73OQIA2j/RHp7dPNXbR+8ajfLCmvui2LrbAgAeWf8IlAqlTjGamprCx8dHY5tcLq+xTllZGQBUGohS1WeGqalppW1CCK1iq+i8vGnTpkqjt+7+TBswYAA8PDxw8OBBPPvsszhw4ABWrVpVp2MAgJWVVaUYpkyZgtLSUmzYsAH33XcfLC0t0bdvX3VTlDbXoi4xSMlgEpvS0lIMGDAAL7/8MgIDAxEfH4/ly5fDx8cH06bVPbvXmYcHsHdv470eEZHE7D3tYe9pr1VZGzcb2Lj9NyO72/1uWr+Os79znWOrDxcXFzg7OyMiIkLjTsXVq1erTA505eHhAVdXV0RGRmLy5MnVljMxMcHkyZOxd+9eBAQEIDs7GxMmTKjTMaqiUChw9uxZnDx5EgMHDgSguvty90gyba5FfWJoTAYzKsrS0hJbt27F4cOH8cQTT2DlypUYPHgwwsPD4eDgIHV4RERkgObNm4cNGzaoRwgdOHAAP/1Uc7NbXZmYmGDp0qXYuHEjvvnmGwghIJfLce7cOaxdu1aj7NSpU/Hbb79h7dq1eOyxx+Di4lLnY9zL1NQULVu2xIkTJyCEQEFBAebNm1fpjlZt16I+MTQmg7ljA6jaDSUfVrZpE5CYCKxezXWiiIgM3Ouvv47o6GgEBATA3t4eHTt2xOjRo6FU6tYkVp1XX30VpqameOaZZ5Cfnw8TExP07t0b69at0yjXpUsXBAYG4ueff1aPaKrrMaqyc+dOzJw5E9u2bYNcLsf48ePRunVrjTLaXIv6xNBYZELbRkIjkZeXB0dHR+Tm5up2p6d3b+DyZaCoCDAxmBteRBrkGRmQZ2XBMiAAsmp+jsvT0iCTyWDq5oaUv1LwcfePMTd8rkb/CXlGBpTFxTD39q72OGQ4SkpKEBsbCz8/P702xTS0vLw8FBUVoWXLlhrbFQoFkpOT0aJFC3VfkZycHCgUCri6umqUzc/Ph5mZGaytrTFixAi0atUKH330EQBVsw0AODs7a5QvLi6Gu7t7lTFV9zpCCGRmZsLR0RHm5lUvKpudnY3CwkJ4enpW27enumNUFevdMjIyYG9vD0tLS6SmpsLOzg62trZaX4u6nIcuavoZ1Pbz26Du2EhOCOCff4CAACY1ZJAKL/6OrN27UfTbb1AWFaHd7xdhes8fiJyvjyBj61aI8nKI4mKY2NjAeubz8Onto17dW56djaTFi1F86S+Y2NhAZm0F7w0bYPPgg1KcFjVzDg4OVX7QVdWh2MnJSeP5P//8g7CwMEyePBnm5ub44osvcOLECZw9e1Zdpqokwd7eHvb21fc7uvd1KshkMri51dzvyNnZudrEpLZj1FQPgEa9exeQ1uZaaBOD1PjpXBeZmUBODtCundSREOmk8Ldf4fjEaHhtWF9tmbL4OLTa/RnanjuLtr9egOOTTyLvnVWY+d2T6o6gKStWQJmbh7YXfkHbXy/AYegwJD7/AhT6mACTqBG1atUK58+fh4eHB2xtbbF06VJ88skn6knxmhNjuRZMbOqiYikFJjZkoNwXLoTDkCGqmbOrK/PSSzD/95a+zMQE9o8MBsrLIf93BIU8IwP5Z87Cde5cmNrZqf5ze+F5KIuKkHfyZKOcB5G+WFlZYefOncjIyEBKSgqSkpIwc+ZMqcOShLFcCyY2dREVpfrKxIaMnDw7GyU3b6Lwt9+Qum49zB7oifWBB5F8KRklkZGAUgnrBzqry5va2cGibQBKrl2TMGoi3ZmamnKE7b8M/Vqwj01dWFkB3bsDHTtKHQlRgyo4cwaZu3ZBnpYOU0dHuIWsxsgh5nC8zxHlv+UAAEzv6UNg5uQERXZOo8dKRHQ3JjZ1MXGi6kFkQJRKgaScYhSWyWFrYQZvJ+ta6ziNGwenceMglEpk7tiJ1AVz0enYUVi42SDv32YsUV4OWP93LGVZGUzN+CfFGDSzwbLUhOjjZ49/hYiMWHRaPk5GpCImvQAlcgWszEzRpoUdhuQVa1VfZmIC12fmIGPrNkSu34e2qxfCrKVquLc8PV1jRJU8PR02Xbo0xGlQI6kYWlxWVgZr69oTYCJ9KyoqAoB6DSFnYqMtIYDly1Xz2DzxhNTRENUqOi0fn164jazCMng6WsHGwhpFZXJE3MmFLD4NA6uoI8rLIbvnD4oiJweipASX9/0D92dy4RHYESZ2dij46Tws27QBAJTGxqI8Lh42vXo1wplRQzEzM4ONjQ3S09Nhbm5eaSFFooYihEBRURHS0tLg5ORU5fw92mJio607d4D164HJk5nYUJOnVAqcjEhFVmEZ2rrbqReocy0rQEt5LuRpKQCAkugYmNrZwtzLG6Z2tii5cQPpmzbDafw4mPv4ojwlGZnbd8DE3ROJ//gCAEwsLeH27DxkfPABTF2cYdaiBdLf3Qjrbt1g26+fZOdM9SeTyeDp6YnY2FjExcVJHQ41Q05OTpUmWqwrJjbaqhjq3battHEQaSEppxgx6QXwdLTSWHXX++JZeP3xI5RKgSx3H5iEvA5zMxk8QkJg27s3rIOC4PbCC8je/wXKYm/D1NkJ9oMHoyxwIOQP/7ecieucOTBxcEDul19BWVICm1694Db/uSa1wi/pxsLCAm3btlWv9kzUWMzNzet1p6YCExttcQ4bMiCFZXKUyBWwsdDsJxE7ZCxih4yFXKnE7YxCvDi4Lfxbag7rtOnWFTbdumpsS76UjHs5T5gA539XHibjYmJiYlBLKhDdjQ2o2mJiQwbE1sIMVmamKCqTV7m/uEwBSzNT2FrwfxsiMi5MbLTFpigyIN5O1mjTwg7JuSWVhk8KIZCcW4IAdzuthn4TERkSJjbasrQE/P2BahY2I2pKTExkGNbJAy62FohKK0B+STnkSiXyS8oRlVYAF1sLDA30gIkJ+8QQkXFpdvehK/57zavrYn2ffIJ/K+o5IqKG4W4FjOvsgjPX0xCbkY0yuQIWZqYIaGGLQR1c4G4ltP49yC/IRwlKkF+QD9s82waOnIiosoq/V7VN4icTzWyKyVu3bqHNv3NvEBERkWFJSEiAj49Ptfub3R0bFxcXAEB8fDwcHR0ljobulpeXB19fXyQkJBj0AmzGiO9N08X3punie6NfQgjk5+fDy8urxnLNLrGpmEnT0dGRP2hNlIODA9+bJorvTdPF96bp4nujP9rckGDnYSIiIjIaTGyIiIjIaDS7xMbS0hIrV66EpaWl1KHQPfjeNF18b5ouvjdNF98baTS7UVFERERkvJrdHRsiIiIyXkxsiIiIyGgwsSEiIiKjYdCJTUxMDJ555hkEBwdj+vTpuHTpkl7q6HJc0hQdHY05c+YgODgYM2bMwOXLl+tdp7S0FKGhoRg3bhweffRRLFu2DCkpKQ1zAkbsxo0bePrppxEcHIynnnoKEREReq3z22+/oXfv3liwYIE+w24Wrl+/jlmzZiE4OBizZs3C9evX9VJHoVBg+/btGDVqFEaMGIHPPvusIcI3aleuXMHMmTMRHByM2bNn42bFwsj1rHPo0CFMnDgRAwYMwOTJk3H8+PGGCL9ZMdjE5s6dO+jTpw/y8/OxbNkyODg4oF+/frhy5Uq96uhyXNKUmJiI3r17o7i4GMuWLYOtrS369euHa9eu1avO448/jr///huTJk3CwoULcfnyZXTv3h2pqamNcVpGITY2Fn369IFSqcSyZctgZmaGvn371vhHui51cnJyMH36dOTl5Wn1oUz/iY6ORt++fSGTybBs2TIAQN++fRETE1OvOkqlEqNHj8a6deswYcIELFmyBL/88gt2797dsCdkRCIjI/HQQw/B2toay5YtQ2lpKfr06YP4+Ph61XnvvfcwY8YM9OvXD6tWrULXrl3xxBNP8L2pL2GgFi9eLPz9/YVcLldv69evnxg3bly96uhyXNK0YMEC0a5dO6FQKNTbevfuLSZNmlSvOvn5+Rp1iouLhb29vdiyZYseozduc+fOFZ06dRJKpVIIIYRSqRRdunQRTz31lF7qjBs3TqxYsUJMnTpVDB48uGFOwkg9/fTTokuXLhrXOSgoSMyZM6dedbZv3y4sLS1FTEyMRt3i4uIGOAvjNGXKFNGrVy/1c4VCIdq1aydeeOGFetUZOHCgmDZtmka9ESNGiDFjxugx+ubHYO/YnDlzBsOHD4epqal626hRo/DDDz/Uq44uxyVNFdewYvkKQHUNT58+Xa86dnZ2GnUsLCxgYWGBsrIyPUZv3M6cOYPHH38cMpkMACCTybT6vdGmzrZt25CQkIDXX3+94U7AiFV1nUeOHFnn9+beOp9//jmGDRsGf39/jbpWVlYNcBbG6cyZMxg5cqT6uYmJCR5//PFa35va6jz44IP4+++/UVhYCADIzs7GtWvX0LNnzwY4i+bDYBObuLi4SgtheXl5IScnR720uS51dDkuaaruGmZmZqKoqEhvdUJDQ5Gbm4sRI0boJ/BmoLrrnJiYCIVCoXOdiIgIrFixAnv27IGZWbNbgq7ehBBISEio8jpX19yhbZ3r16+ja9euWLduHQYNGoTx48djz549EJzCTCulpaVITU2t8jrHxcXVq85bb72FwYMHw8fHB127doWfnx9mzJiBV199Vf8n0owYbGJTXl5eaTZHa2tr9T5d6+hyXNLUUO/N3c6dO4dFixZhw4YN6NChgz7CNnpCCCgUimqvs1wu16lOUVERJk6ciPXr1yMgIKCBojduCoUCSqWyyuusVCqrTDq1rVNSUoLNmzcjPj4eISEhGDRoEF544QXeWdNSxd+fqq5zTX/PtKlz8OBBfPrpp1ixYgXeffddLFu2DJs3b8b333+vz1Nodgz2XysXFxdkZWVpbMvMzISZmVm1q39qU0eX45Km6q6hubk57O3t613n559/xsiRI7F8+XIsWrRIv8EbMZlMBicnpyqvs62tbZXTvmtT56effsKNGzcQGhqK0NBQAKqRhWVlZejduzc+//xztG3btuFOzAiYmZnB3t6+yuvs6Oio0TRe1zouLi5wdXXFRx99BAAYPHgw8vLy8NZbb2HNmjUNdEbGo+LnvKrr7OrqWq86S5YswQsvvKD+OzZo0CAkJiZi6dKlGD58uJ7PpPkw2MSmW7du+OOPPzS2Xbx4EZ06dar2Vrg2dXQ5Lmmq7ho+8MADGn1odKlz4cIFDB8+HEuWLMHKlSv1H7yRq+46d+3aVec6Xbt2xYULFzT2r1q1CllZWdi8eTO8vb31FL1xa4j3BlD14ygpKdEo4+npicLCQpSWlnIdo1rIZDJ06dKlTu+NNnWEEMjJyan0++Hl5VUpIaI6krLncn0cO3ZMmJmZifPnzwshhLh+/bpwcHAQ77//vrrM0aNHRa9evURRUZHWdbQpQzX76quvhIWFhbhw4YIQQoirV68KOzs7sXXrVo0yvXr1EqWlpVrX+fXXX4W9vb1YsWJFI56Ncdm3b5+wsrISv//+uxBCiEuXLglra2vx6aefqsvs379fYzSHNnXuxVFRdbd7925hbW0twsPDhRBC/Pnnn8LKykp8/vnn6jJ79+4VDz30UJ3qnDhxQtja2oqrV68KIYQoLCwUAwYMEAMGDGiM0zIKH3/8sbCzsxNXrlwRQqj+FllYWIhDhw6py3z66adi4MCBdarzyCOPiJ49e4qcnBwhhBAZGRmiY8eOHIVbTwab2AghxBtvvCEsLS1Fu3bthIWFhZg3b57GcOHt27cLABrDhGuro20Zqtnrr7+ucQ3nz5+vHpIqhBBbt24VADSGnNZWp23btsLCwkL06tVL47F+/fpGPTdD98orr2hc54ULF2pc502bNol7/+eprc69mNjoZsmSJcLCwkJ9nZcsWaKx/3//+58wNTWtU52Kevb29qJTp07C2dlZPPTQQ+L27dsNei7GRKlUihdffFF9nS0tLcVrr72mUWb16tXC1ta2TnViY2NF3759hb29vejcubOwtbUVgwcPFsnJyY1yXsbK4Ff3zs7ORmxsLHx8fODu7q6xLz09HTExMejZs6dGc0ZNdepShmqWnZ2N27dvw8fHBy1atNDYl5aWhlu3bqFXr17qoaq11fnrr79QWlpa6XU8PDzg5+fXMCdhpDIzMxEXF4f77rsPbm5uGvtSUlJw+/Zt9O7dW+s696roY8OO3XVXcZ1btWpVqQ9HcnIy4uPj0atXL63rVMjPz0dMTAw8PDzg6enZYPEbs/T0dCQmJqJVq1ZwcXHR2JeUlIQ7d+6gR48eWtepkJKSoh5Fde/fPao7g09siIiIiCoY7HBvIiIionsxsSEiIiKjwcSGiIiIjAYTGyIiIjIaTGyIiIjIaDCxISIiIqPBxIaIiIiMBhMbItKbW7du4eDBg1KHQUTNGBMbItKbs2fPYsqUKVKHQUTNGJerJqJGJYTAn3/+iTt37sDf3x9BQUHqfVeuXEFqaiqGDBmiUefy5ctIS0vD0KFDaz0GoEqwWrRoAS8vL1y8eBE2NjYYMGAA/vjjD8TExAAA3Nzc8MADD1Q5hX1eXh5+/vlnODg4oGvXrrh69SrMzc3x4IMPanUeRCQdJjZE1GiSk5MxatQo5ObmokOHDrh8+TLat2+Pr7/+GjY2NkhISMDYsWORkpICJycndb158+bhoYcewtChQ2s9BgC8+eabkMvlSEpKQmBgIPr06YMBAwbgr7/+wtmzZwGo1ucJDw/H1q1bMW3aNPVr/fXXXxg6dCjc3d3h5eWFW7duwc7ODn369FEnNtrEQEQSkXABTiIyMtu3b6+0+vTdhg4dKp555hmhUCiEEEKUlJSIXr16iZCQECGEEOXl5aJFixZix44d6jpRUVECgAgPD9fqGEIIERwcLJycnERCQkKN8R49elQ4ODiIvLw89ba+ffuK8ePHq49/+vRpAUDMmzdP6/MgIunwjg0RNYo7d+7g1KlT2LBhA7766isIISCEgL+/P86dOwcAMDMzw4QJE7B3717Mnj0bALB371506NAB3bp10+oYFcaMGQMfH59KcWRkZODKlSvIyMiAXC5HQUEBbty4gR49eiA5ORm//vorwsLCYGKi6oL4yCOPoEuXLnU6DyKSDhMbImoUt2/fBgBcuHAB4eHhGvt69Oih/n7q1Kno168fkpKS4O3tjX379mHmzJl1OgYAeHp6Vorh/fffx/Lly9G5c2d4enrC3NwcAJCWlgYASEhIAAC0bt1ao97dz+sSAxE1PiY2RNQoHBwcAACvvfYaevbsWW25Pn36wM/PD1988QWCg4MRFRWFqVOn1ukYACCTyTSeFxUVYdGiRfj6668xcuRIAEBBQQEOHDgAIQQAwMXFBQCQk5MDDw8Pdd3s7Gz187rEQESNj8O9iahRdOzYEb6+vti2bVulfUlJSRrPp0yZgr1792Lv3r3o168fWrVqVedj3CsjIwMKhQL333+/etvhw4c1yrRu3RpeXl44evSoeltqaiouXryo03kQUePjHRsi0ishBPbv36+xzdzcHGPHjsUnn3yC0aNHIzs7G4899hiys7Nx/PhxjB49GkuXLlWXnzZtGlavXo3o6Gi8++676u0mJiZaH+Nevr6+6NatG2bOnIk5c+YgOjoaO3fuVPelAVR9fNasWYNnn30WOTk58PHxwbZt22BjY6O+A1SfGIio4clExT1YIqJ6OnfuHEJDQyttt7Kywq5duwCo+qjs3r0bMTEx8Pb2xsiRI9GnT59KdRYtWoSUlBR89NFHcHZ21thX2zHefPNNtG/fHhMmTNCol5WVhQ8++ADR0dHw9vbG7Nmz8eabb2LRokXo2rWrutx3332Hr776Cg4ODnj88cfx9ttvo2vXrtiwYYPWMRCRNJjYEBHdJTs7G05OTuo7NJmZmWjTpg1CQ0MxceJEiaMjotowsSEiusv58+exatUqPPnkk5DL5QgNDYWdnR1++eUXWFpaSh0eEdWCiQ0R0T1+/vlnHDlyBEVFRejSpQuefvpp9dBwImramNgQERGR0eBwbyIiIjIaTGyIiIjIaDCxISIiIqPBxIaIiIiMBhMbIiIiMhpMbIiIiMhoMLEhIiIio8HEhoiIiIwGExsiIiIyGv8POWCk/vDVzUEAAAAASUVORK5CYII=",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"cls.leverage_plot(high_leverage_threshold=True, cooks_threshold=\"dof\");"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**E. VIF**\n",
"\n",
"The variance inflation factor (VIF), is a measure of multicollinearity.\n",
"\n",
"VIF > 5 for a variable indicates that it is highly collinear with the \n",
"other input variables."
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"execution": {
"iopub.execute_input": "2026-07-28T12:13:24.162318Z",
"iopub.status.busy": "2026-07-28T12:13:24.162058Z",
"iopub.status.idle": "2026-07-28T12:13:24.179075Z",
"shell.execute_reply": "2026-07-28T12:13:24.177719Z"
}
},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" \n",
" Features \n",
" VIF Factor \n",
" \n",
" \n",
" \n",
" \n",
" 0 \n",
" Intercept \n",
" 1.00 \n",
" \n",
" \n",
" 1 \n",
" TV \n",
" 1.00 \n",
" \n",
" \n",
" 2 \n",
" Radio \n",
" 1.14 \n",
" \n",
" \n",
" 3 \n",
" Newspaper \n",
" 1.15 \n",
" \n",
" \n",
"
\n",
"
"
],
"text/plain": [
" Features VIF Factor\n",
"0 Intercept 1.00\n",
"1 TV 1.00\n",
"2 Radio 1.14\n",
"3 Newspaper 1.15"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"cls.vif_table()"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"execution": {
"iopub.execute_input": "2026-07-28T12:13:24.181428Z",
"iopub.status.busy": "2026-07-28T12:13:24.181163Z",
"iopub.status.idle": "2026-07-28T12:13:25.020710Z",
"shell.execute_reply": "2026-07-28T12:13:25.019579Z"
}
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
" Features VIF Factor\n",
"0 Intercept 1.00\n",
"1 TV 1.00\n",
"2 Radio 1.14\n",
"3 Newspaper 1.15\n"
]
}
],
"source": [
"# Alternatively, all diagnostics can be generated in one go as follows.\n",
"# Fig and ax can be used to modify axes or plot properties after the fact.\n",
"cls = LinearRegDiagnostic(res)\n",
"vif, fig, ax = cls()\n",
"print(vif)\n",
"\n",
"# fig.savefig('../../docs/source/_static/images/linear_regression_diagnostics_plots.png')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"For detail discussions on the interpretation and caveats of the above plots please refer to the ISLR book."
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.14.6"
}
},
"nbformat": 4,
"nbformat_minor": 4
}