diff --git a/StrengthvsDiameter (1).ipynb b/StrengthvsDiameter (1).ipynb new file mode 100644 index 00000000..01b05b3b --- /dev/null +++ b/StrengthvsDiameter (1).ipynb @@ -0,0 +1,1122 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + }, + "language_info": { + "name": "python" + } + }, + "cells": [ + { + "cell_type": "markdown", + "source": [ + "# Shear Strength vs Diameter of Weld\n", + "\n", + "**Prepared by:** Emmanuel Barias (ebarias@nd.edu) and Vivian Okorie (vokorie3@nd.edu)\n", + "\n", + "**Reference:** Exercise 7.2, problem 8, Statistics for Engineers and Scientists, Fourth Edition by Prof. William Navidi (2014).\n", + "\n", + "**Intended Audience:** This problem is intended for undergraduate statistic students learning about data analysis methods." + ], + "metadata": { + "id": "PGp7evu-PaA7" + } + }, + { + "cell_type": "markdown", + "source": [ + "## Import Libraries" + ], + "metadata": { + "id": "udEGkJvQWFBx" + } + }, + { + "cell_type": "code", + "source": [ + "# Importing libraries\n", + "import scipy.stats as stats\n", + "import numpy as np\n", + "import pandas as pd\n", + "import math\n", + "import matplotlib.pyplot as plt\n", + "import numpy.linalg as nplin" + ], + "metadata": { + "id": "9VfnGG5fWEW5" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "source": [ + "# 1. Introduction" + ], + "metadata": { + "id": "C6-t29REPaZI" + } + }, + { + "cell_type": "markdown", + "source": [ + "Linear regression is a way to interpret your data and understand the relationship the variables have with one another. Using linear regression we can understand if variables have a dependance on one another. We can combine other data analysis techniques (such as covariance) and determine if the variables are truly independent. While there are quite a few steps to solve this problem, the biggest take away from this notebook should be **CORRELATION** does **NOT** mean **CAUSATION**." + ], + "metadata": { + "id": "wBtfngjIPaxc" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 1.1 Learning Objectives\n", + "\n", + "\n", + "* Learn to perform simple linear regression given data\n", + "* Interpret what the linear regression analysis returns\n", + "* Perform a covariance analysis to determine independence of variables (omit this for now until you see how long the other ones take)\n", + "* Calculate the $r^2$ value\n", + "* Perform a residual analysis\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n" + ], + "metadata": { + "id": "ssDLKZptPbBq" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 1.2 Problem Statement\n", + "\n", + "The following table presents shear strengths (in kN/mm) and weld diameters (in mm) for a sample of spot welds.\n", + "\n", + "\n", + "\n", + "\n", + "|_Additional Information_ || |\n", + "|-----------------------------------||---------------------------------|\n", + "|___Diameter___ || ___Strength___ |\n", + "|4.2 || 51 |\n", + "|4.4 || 54 |\n", + "|4.6 || 69 |\n", + "|4.8 || 81 |\n", + "|5.0 || 75 |\n", + "|5.2 || 79 |\n", + "|5.4 || 89 |\n", + "|5.6 || 101 |\n", + "|5.8 || 98 |\n", + "|6.0 || 102 |" + ], + "metadata": { + "id": "OLdR0KaWgSD9" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 1.3 Problem Setup" + ], + "metadata": { + "id": "FmHPlT7kVri6" + } + }, + { + "cell_type": "code", + "source": [ + "# Arrays for diameter and strength\n", + "diameter = np.array([4.2, 4.4, 4.6, 4.8, 5.0, 5.2, 5.4, 5.6, 5.8, 6.0]) # units of mm\n", + "\n", + "strength = np.array([51, 54, 69, 81, 75, 79, 89, 101, 98, 102]) # units of kN/mm\n", + "\n", + "plt.figure(figsize=(8,6), dpi=300)\n", + "plt.plot(diameter,strength,label=\"Dataset\")\n", + "\n", + "plt.xlabel('Diameter (mm)',fontweight=('bold'),fontsize=16)\n", + "plt.ylabel('Strength (kN/mm)',fontweight=('bold'),fontsize=16)\n", + "plt.legend()\n", + "plt.show()\n" + ], + "metadata": { + "id": "RPg8wqNgV5Pg", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 1000 + }, + "outputId": "07678b49-79d5-4e84-bb9e-e174de494aac" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": "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\n" + }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "source": [], + "metadata": { + "id": "zUthUa_lwvcU" + } + }, + { + "cell_type": "markdown", + "source": [ + "# 2. Plotting and Solving for Regression Line\n", + "\n", + "To solve for the regression line, we need to use the Equation 1.1:\n", + "\n", + "$$(Equation 1.1):\\hat{y} = \\hat{\\beta_0} + \\hat{\\beta_1}x$$\n", + "\n", + "where $\\hat{y}$ is our predicted value, $\\hat{\\beta_0}$ is the y-intercept, and $\\hat{\\beta_1}$ is the slope." + ], + "metadata": { + "id": "QfTY21udW6-J" + } + }, + { + "cell_type": "markdown", + "source": [ + "## Computing Regression Line Numerically\n", + "\n", + "We can calculate the values for $\\hat{\\beta_0}$ and $\\hat{\\beta_1}$ numerically using the following equations:\n", + "\n", + "\n", + "\n", + "$$(Equation 2.1): \\hat{\\beta_1} = \\frac{\\sum_{i=1}^n (x_i - \\bar{x})(y_i - \\bar{y})}{\\sum_{i=1}^n (x_i - \\bar{x})^2}$$\n", + "\n", + "\n", + "where $\\bar{x}$ is the sample mean for x and $\\bar{y}$ is the sample mean for y.\n", + "\n", + "$$(Equation 2.2): \\hat{\\beta_0} = \\bar{y} - \\hat{\\beta_1} \\bar{x}$$\n", + "\n", + "For this problem, we will use scipy to calculate our regression line equation.\n", + "\n" + ], + "metadata": { + "id": "P2AarO9GcA8e" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 2.1 Plot the Given Data" + ], + "metadata": { + "id": "DBhVw4uAXUTq" + } + }, + { + "cell_type": "code", + "source": [ + "##BEGIN SOLUTION\n", + "\n", + "# use scipy.stats.linregress to calculate a line of best fit and extract the key info\n", + "slope, intercept, r, p, se = stats.linregress(diameter,strength)\n", + "\n", + "# create a lambda function to plot the line of best fit\n", + "xline = np.linspace(3,7,10)\n", + "y = lambda x: slope*x + intercept\n", + "yline = y(xline)\n", + "y_linregress = yline\n", + "# plot data\n", + "plt.figure(figsize=(4,4), dpi=300)\n", + "plt.plot(diameter,strength,'o',markersize=8,label=\"data\")\n", + "plt.plot(xline,yline,'-',linewidth=3,label=\"best fit line\")\n", + "plt.xlabel('Diameter (mm)',fontweight=('bold'),fontsize=16)\n", + "plt.ylabel('Strength (kN/mm)',fontweight=('bold'),fontsize=16)\n", + "plt.legend()\n", + "plt.show()\n", + "\n", + "##END SOLUTION" + ], + "metadata": { + "id": "FK8D2M5dXZQr", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 1000 + }, + "outputId": "60dbb9aa-58e7-45be-8058-e451e28da3c7" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": "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\n" + }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "## 2.2 Calculate the equation for the least-squares line to predict strength based on diameter\n" + ], + "metadata": { + "id": "77UXw0QjJkDs" + } + }, + { + "cell_type": "markdown", + "source": [ + "Using the equations from 2.1, compute the equation for the least-square line for predicting strength from diameter." + ], + "metadata": { + "id": "m47lcw6WKPkt" + } + }, + { + "cell_type": "code", + "source": [ + "## BEGIN SOLUTION\n", + "\n", + "# Given data\n", + "x = diameter\n", + "y = strength\n", + "\n", + "# Calculate the number of data points\n", + "n = len(x)\n", + "\n", + "# Calculate averages\n", + "xbar = np.mean(x)\n", + "ybar = np.mean(y)\n", + "\n", + "# Calculate the numerator\n", + "num = (x - xbar).dot(y - ybar)\n", + "\n", + "# Calculate the denominator\n", + "denom = (x - xbar).dot(x - xbar)\n", + "\n", + "# Calculate the slope (beta_1)\n", + "b1 = num / denom\n", + "\n", + "# Calculate the intercept (beta_0)\n", + "b0 = ybar - (b1 * xbar)\n", + "\n", + "# Print results\n", + "print(\"Slope = {:.2f} kN/mm unit\".format(b1))\n", + "print(\"Intercept = {:.2f} kN\".format(b0))\n", + "\n", + "# Print the final equation\n", + "print(\"\\nThe least-square line for predicting strength from diameter:\")\n", + "print(\"y = {:.2f} + {:.2f}x\".format(b0, b1))\n", + "\n", + "\n", + "##END SOLUTION" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "njiRuvJMOmo2", + "outputId": "5f2cca6b-f00d-457f-89e0-ff76a36d6985" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Slope = 28.94 kN/mm unit\n", + "Intercept = -67.69 kN\n", + "\n", + "The least-square line for predicting strength from diameter:\n", + "y = -67.69 + 28.94x\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "## 2.3 Computing the fitted values and the residual for each point" + ], + "metadata": { + "id": "8f_eb4X9-ES2" + } + }, + { + "cell_type": "code", + "source": [ + "## BEGIN SOLUTION\n", + "\n", + "# Calculate predicted values (y)\n", + "\n", + "for i in range(len(x)):\n", + " # print(b1)\n", + " y_predicted = b0 + (x * b1)\n", + "\n", + "# print(y_predicted)\n", + "# Calculate residuals (ei)\n", + "residuals = y - y_predicted\n", + "print(f\"Residuals: {residuals}\")\n", + "\n", + "# Create a Pandas DataFrame for the table\n", + "data = {\n", + " 'Diameter': diameter,\n", + " 'Strength': strength,\n", + " 'y': y_predicted,\n", + " 'ei': residuals\n", + "}\n", + "df = pd.DataFrame(data)\n", + "\n", + "# Display the table\n", + "print(df)\n", + "##END SOLUTION" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "TlaO8c_B-DLb", + "outputId": "6bffe265-56d1-441c-f613-d4e75be808ad" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Residuals: [-2.85454545 -5.64242424 3.56969697 9.78181818 -2.00606061 -3.79393939\n", + " 0.41818182 6.63030303 -2.15757576 -3.94545455]\n", + " Diameter Strength y ei\n", + "0 4.2 51 53.854545 -2.854545\n", + "1 4.4 54 59.642424 -5.642424\n", + "2 4.6 69 65.430303 3.569697\n", + "3 4.8 81 71.218182 9.781818\n", + "4 5.0 75 77.006061 -2.006061\n", + "5 5.2 79 82.793939 -3.793939\n", + "6 5.4 89 88.581818 0.418182\n", + "7 5.6 101 94.369697 6.630303\n", + "8 5.8 98 100.157576 -2.157576\n", + "9 6.0 102 105.945455 -3.945455\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "## 2.4 Visualize the Predicted data" + ], + "metadata": { + "id": "_yStS2zmnY5N" + } + }, + { + "cell_type": "code", + "source": [ + "##BEGIN SOLUTION\n", + "\n", + "# generate predictions\n", + "diameter_pred = np.linspace(4.2, 6.0, 10)\n", + "# y_predicted = b0 + b1 * diameter\n", + "\n", + "# create plot\n", + "plt.figure(figsize=(4,4), dpi=300)\n", + "plt.plot(diameter,strength,'.b',markersize=8,label='Data')\n", + "plt.plot(diameter_pred,y_predicted,'-r',linewidth=3,label='Best Fit Line')\n", + "plt.plot(xbar,ybar,'sg',markersize=8,label=r\"Average ($\\bar{x}$,$\\bar{y}$)\")\n", + "plt.xlabel('Diameter [mm]',fontweight='bold', fontsize=16)\n", + "plt.ylabel('Strength [kN / mm]',fontweight='bold', fontsize=16)\n", + "plt.xticks(fontsize=15)\n", + "plt.yticks(fontsize=15)\n", + "plt.grid(False)\n", + "plt.legend()\n", + "plt.show()\n", + "\n", + "##END SOLUTION" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 1000 + }, + "id": "fupvuSqcnolD", + "outputId": "ae7fbea4-784b-4dec-9f32-cf8e5226c28b" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": "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\n" + }, + "metadata": {} + } + ] + }, + { + "cell_type": "code", + "source": [ + "plt.plot(xline,yline)\n", + "plt.plot(diameter,y_predicted)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 451 + }, + "id": "M_NtUqvCp-pB", + "outputId": "e370f6e9-1317-457b-fa9f-62c73126283d" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "[]" + ] + }, + "metadata": {}, + "execution_count": 8 + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": "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\n" + }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "## 2.5 Plot of residual vs Fitted value\n", + "From the table above, we would make a plot of the residual vs fitted value\n", + "\n", + "1. Are there any clear patterns in the residuals?\n", + "\n", + "2. Are there any extreme outliers?" + ], + "metadata": { + "id": "iMkD9OtR9IHW" + } + }, + { + "cell_type": "code", + "source": [ + "##BEGIN SOLUTION\n", + "\n", + "# Plot of residual vs fitted value\n", + "plt.figure(figsize=(4,4),dpi=300)\n", + "plt.plot(y_predicted,residuals,\"b.\", markersize=8)\n", + "plt.xlabel(\"Predicted Strength\",fontweight='bold',fontsize=16)\n", + "plt.ylabel(\"Residual\",fontweight='bold',fontsize=16)\n", + "plt.grid(False)\n", + "plt.show()\n", + "\n", + "##END SOLUTION" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 1000 + }, + "id": "vcE6Wt0s9ZQo", + "outputId": "c702eb8f-befb-45ff-abab-d8918c0fa672" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": "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\n" + }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "# 2.6 Multivariate uncertainty analysis\n", + "We can evaluate how good our line of fit matches the data set given to us within a certain confidence interal. In order to calculate it however, there are a few steps to it starting with finding the uncertainty in measurement for this problem.\n", + " $$(Equation2.3): \\hat{\\beta} = (\\mathbf{X}^T \\mathbf{X})^{-1} \\mathbf{X}^T y$$\n", + "\n", + " The first step to calculating uncertainty is to find $\\hat{\\beta}$. Once we have beta, then we can move to calculate $\\hat\\sigma^2$. The formula is listed below.\n", + " $$(Equation2.4): \\hat\\sigma^2 = Var[y - x\\hat{\\beta}] = \\frac{((y-\\hat{y})^T(y-\\hat{y}))}{(n-m)} $$\n", + "\n", + " In this formula, y is the recorded output and x is the predicted value. After calculating sigma, the final step is to then use Equation 2.5 to visualize what our confidence interval is for our regression line.\n", + "\n", + " $$(Equation2.5): \\hat{y} \\pm t_{n-m}^{α/2} \\sqrt{\\hat\\sigma^2 + \\mathbf{x}_o^T[\\hat\\sigma^2(\\mathbf{X}^T\\mathbf{X}^{-1}) ] \\mathbf{x}_o } $$\n", + "\n" + ], + "metadata": { + "id": "hE3Cche8Gg4Y" + } + }, + { + "cell_type": "code", + "source": [ + "##BEGIN SOLUTION\n", + "\n", + "# Creating initial matricies\n", + "confidence_level = 0.95\n", + "n = 10\n", + "m = 2\n", + "X = np.array([np.ones(len(diameter)), diameter]).transpose()\n", + "Y = np.array(strength)\n", + "\n", + "lower_bound = []\n", + "upper_bound = []\n", + "\n", + "#Calculating t-score\n", + "t_score = abs(stats.t.ppf((1 - confidence_level) / 2, df=n-m-1))\n", + "\n", + "# Calculating beta\n", + "beta_hat = nplin.inv(np.transpose(X) @ X) @ np.transpose(X) @ Y\n", + "\n", + "# Calculating sigma hat squared\n", + "sigma_hat = math.sqrt((np.transpose(Y - X @ beta_hat) @ (Y - X @ beta_hat)) * (1/(n-m)))\n", + "\n", + "uncertainties= []\n", + "for i in range(len(diameter)):\n", + " # Creating X_o vector\n", + " X_o = [1, diameter[i]]\n", + " # Calculating confidence interval line\n", + " Y_hat_o = np.transpose(X_o) @ beta_hat\n", + "\n", + " uncertainty = sigma_hat * t_score * math.sqrt(1 + np.transpose(X_o) @ nplin.inv((np.transpose(X) @ X)) @ X_o)\n", + " uncertainties.append(uncertainty)\n", + "\n", + " lower_confidence = Y_hat_o - uncertainty\n", + " lower_bound.append(lower_confidence)\n", + "\n", + " upper_confidence = Y_hat_o + uncertainty\n", + " upper_bound.append(upper_confidence)\n", + "\n", + "##END SOLUTION" + ], + "metadata": { + "id": "9h_2-tFvixf0" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "uncertainties" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "k9XOsj5GtHfW", + "outputId": "d11139ad-f88e-40a5-f750-6fa90f859d7a" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "[14.744640597253198,\n", + " 14.203367166205586,\n", + " 13.78347010897317,\n", + " 13.496282988397091,\n", + " 13.35037293980459,\n", + " 13.350372939804577,\n", + " 13.49628298839708,\n", + " 13.783470108973164,\n", + " 14.203367166205583,\n", + " 14.744640597253198]" + ] + }, + "metadata": {}, + "execution_count": 11 + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "Now that we've solved for the intervals we will be using our calculated values to plot the confidence intervals of our regression line." + ], + "metadata": { + "id": "1CAD6-_xQAnI" + } + }, + { + "cell_type": "code", + "source": [ + "##BEGIN SOLUTION\n", + "\n", + "# create plot\n", + "plt.figure(figsize=(6.4,4),dpi=300)\n", + "plt.scatter(diameter,strength,label='Actual Values', color='k')\n", + "plt.plot(diameter,y_predicted,'-r',linewidth=3,label='Best Fit Values')\n", + "plt.errorbar(diameter, y_predicted, yerr= uncertainties, label='Best Fit Uncertainties', capsize=2, fmt='o')\n", + "plt.xlabel('Diameter [mm]',fontweight='bold',fontsize=16)\n", + "plt.ylabel('Strength [kN / mm]',fontweight='bold',fontsize=16)\n", + "plt.grid(False)\n", + "plt.legend()\n", + "plt.show()\n", + "\n", + "##END SOLUTION" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 897 + }, + "id": "hzAq2wIUQraJ", + "outputId": "90040a06-dc5a-4207-cfd7-7d93c965ddd3" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": "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\n" + }, + "metadata": {} + } + ] + }, + { + "cell_type": "code", + "source": [ + "plt.figure(figsize=(6.4,4),dpi=300)\n", + "plt.plot(diameter,y_predicted,'-b',linewidth=3,label='Analytical Approach')\n", + "plt.plot(xline,y_linregress,'-r',linewidth=3,label='Linear Regression')\n", + "plt.scatter(diameter,strength,label='Actual Values', color='k')\n", + "plt.xlabel('Diameter [mm]',fontweight='bold',fontsize=16)\n", + "plt.ylabel('Strength [kN / mm]',fontweight='bold',fontsize=16)\n", + "plt.legend()" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 924 + }, + "id": "57GTvz6T_UqU", + "outputId": "43ace9a7-6560-4a04-96f9-736444e292b3" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "" + ] + }, + "metadata": {}, + "execution_count": 13 + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": "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\n" + }, + "metadata": {} + } + ] + }, + { + "cell_type": "code", + "source": [ + "XXinv = np.linalg.inv(X.transpose().dot(X))\n", + "print(\"inv(XT X) =\\n\",XXinv)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "w6Tli2LPnzt1", + "outputId": "0aae48c2-f4d1-4c87-aaee-9b773fa160e6" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "inv(XT X) =\n", + " [[ 7.98181818 -1.54545455]\n", + " [-1.54545455 0.3030303 ]]\n" + ] + } + ] + }, + { + "cell_type": "code", + "source": [ + "# recall we can calculate the best fit coefficients with linear algebra\n", + "beta_hat = XXinv @ X.transpose() @ strength\n", + "print(\"beta_hat =\",beta_hat)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "otDTNoxgr0D-", + "outputId": "f28a5961-ea2d-49f8-e374-cda2a72d76ea" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "beta_hat = [-67.69090909 28.93939394]\n" + ] + } + ] + }, + { + "cell_type": "code", + "source": [ + "# Calculate SSE\n", + "In = np.eye(len(strength))\n", + "hat = X @ XXinv @ X.transpose()\n", + "sse = np.linalg.norm((In - hat) @strength)**2\n", + "\n", + "# Calculate DFE\n", + "dfe = len(diameter) - len(beta_hat) - 2 #dof = n-p-1\n", + "\n", + "# Calculate variance and std dev\n", + "mse = sse/dfe #mean squared error\n", + "se = np.sqrt(mse) #standard error (deviation)\n", + "print('Variance of residuals = ', se, 'Add units')\n", + "\n", + "# compute covariance matrix, store in `Sigma_beta`\n", + "Sigma_beta = mse * XXinv\n", + "print(\"covariance matrix:\\n\",Sigma_beta)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "t5a9wlu6sCVx", + "outputId": "a958b5a4-c143-4e4a-d097-a88e6b806915" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Variance of residuals = 6.207359594168288 Add units\n", + "covariance matrix:\n", + " [[307.54993572 -59.54839302]\n", + " [-59.54839302 11.67615549]]\n" + ] + } + ] + }, + { + "cell_type": "code", + "source": [ + "# get matrix of diagonals of covariance matrix for variances\n", + "size = np.shape(Sigma_beta)\n", + "diag = np.diagonal(Sigma_beta)\n", + "stdev = np.sqrt(diag)\n", + "# calculate correlation matrix\n", + "corr_matrix = np.zeros(size)\n", + "for i in range(0,size[0]):\n", + " for j in range(0,size[1]):\n", + " corr_matrix[i,j] = Sigma_beta[i,j] / stdev[i] / stdev[j]\n", + "print(\"Correlation Matrix: \\n\",corr_matrix)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "Nf_ZMRi8rPqk", + "outputId": "8a2a962e-68f5-47af-d267-c19ba9ee688b" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Correlation Matrix: \n", + " [[ 1. -0.99371602]\n", + " [-0.99371602 1. ]]\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "# 3.0 Analysis\n", + "Using previously calculated regression equations, answer the following questions to see how a fitted equation can predict values." + ], + "metadata": { + "id": "j5h7kM8PsVus" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 3.1 Effect of a 0.3mm Increase in Diameter on Predicted Strength\n", + "\n", + "If the diameter is increased by 0.3mm, by how much would you predicted the strength to increase or decrease?\n", + "\n", + "**Your Answer:**\n", + "To estimate the effect of a 0.3mm increase in diameter on predicted strength, we can use the slope of the least-square line obtained from the linear regression analysis. The slope $\\hat{\\beta_1}$ represents the change in predicted strength for a one-unit increase in diameter.\n", + "\n", + "\n" + ], + "metadata": { + "id": "e5eD-DNGsbQP" + } + }, + { + "cell_type": "code", + "source": [ + "##BEGIN SOLUTION\n", + "\n", + "# Calculate the effect of a 0.3mm increase in diameter\n", + "effect = 0.3 * b1\n", + "\n", + "# Calculate predicted strength for a diameter of 5.5mm\n", + "predicted_strength = b0 + b1 * effect\n", + "\n", + "# Print the result\n", + "print(\"Predicted Strength for a Diameter of 5.5mm: {:.2f} kN\".format(predicted_strength))\n", + "\n", + "# Print the result\n", + "print(\"Effect of a 0.3mm Increase in Diameter on Predicted Strength: {:.2f} kN/mm\".format(effect))\n", + "\n", + "##END SOLUTION" + ], + "metadata": { + "id": "BvTcR4VuwMvs", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "4102d5b2-86a4-4a2d-fffc-ea3baf179b9c" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Predicted Strength for a Diameter of 5.5mm: 183.56 kN\n", + "Effect of a 0.3mm Increase in Diameter on Predicted Strength: 8.68 kN/mm\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "## 3.2 Predict the Strength for a Diameter of 5.5mm" + ], + "metadata": { + "id": "wkjPyLaDwuCq" + } + }, + { + "cell_type": "code", + "source": [ + "##BEGIN SOLUTION\n", + "\n", + "# Given diameter for prediction\n", + "diameter_prediction = 5.5\n", + "\n", + "# Calculate predicted strength for a diameter of 5.5mm\n", + "predicted_strength = b0 + b1 * diameter_prediction\n", + "\n", + "# Print the result\n", + "print(\"Predicted Strength for a Diameter of 5.5mm: {:.2f} kN\".format(predicted_strength))\n", + "\n", + "##END SOLUTION" + ], + "metadata": { + "id": "BpblwaGvxOz7", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "7d306222-cb35-4bef-a81e-b5cefe7fdb51" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Predicted Strength for a Diameter of 5.5mm: 91.48 kN\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "## 3.3 Predicting Strength for a Diameter of 8mm\n", + "Can the least-square line be used to predict the strength for a diameter of 8mm? If so, predict the strength. If not, explain why not.\n", + "\n", + "**Discuss:**\n", + "The least-square line can be used to predict the strength for a diameter of 8mm if and only if the prediction falls within the range of the observed data. The validity of predictions beyond the observed range depends on the assumptions made during the linear regression analysis.\n", + "\n", + "In linear regression, it is assumed that the relationship between the independent variable (diameter in this case) and the dependent variable (strength) is linear and that this relationship holds throughout the observed range. Extrapolating the model beyond this range may introduce uncertainty and might not accurately reflect the true relationship." + ], + "metadata": { + "id": "O3yzZHL6xSbs" + } + }, + { + "cell_type": "code", + "source": [ + "##BEGIN SOLUTION\n", + "\n", + "# Slope and Intercept value\n", + "b0 = -67.69\n", + "b1 = 28.94\n", + "\n", + "# Given diameter for prediction\n", + "diameter_prediction = 8.0\n", + "\n", + "# Check if the diameter is within the observed range\n", + "if min(diameter) <= diameter_prediction <= max(diameter):\n", + " # Calculate predicted strength for the given diameter\n", + " predicted_strength = b0 + b1 * diameter_prediction\n", + " print(\"Predicted Strength for a Diameter of {}mm: {:.2f} kN\".format(diameter_prediction, predicted_strength))\n", + "else:\n", + " print(\"Warning: The diameter of {}mm is outside the observed range. Predictions may be less reliable.\".format(diameter_prediction))\n", + "\n", + "##END SOLUTION" + ], + "metadata": { + "id": "o0Hh_WnIz9aO", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "b983fa7a-a797-4fb9-db8d-bf62d4a4dfee" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Warning: The diameter of 8.0mm is outside the observed range. Predictions may be less reliable.\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "## 3.4 Predicting Diameter for a Strength of 95kN/mm\n", + "For what diameter would you need to predict a strength of 95kN/mm?" + ], + "metadata": { + "id": "Tk_qBgrW3AvN" + } + }, + { + "cell_type": "code", + "source": [ + "##BEGIN SOLUTION\n", + "\n", + "# Given strength for prediction\n", + "strength_prediction = 95.0\n", + "\n", + "# Calculate predicted diameter for the given strength\n", + "diameter_predicted = (strength_prediction - b0) / b1\n", + "\n", + "# Print the result\n", + "print(\"Predicted Diameter for a Strength of {} kN/mm: {:.2f} mm\".format(strength_prediction, diameter_predicted))\n", + "\n", + "##END SOLUTION" + ], + "metadata": { + "id": "xqrOsfTv72q2", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "af11945d-01b5-4a09-e9db-102678ae2791" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Predicted Diameter for a Strength of 95.0 kN/mm: 5.62 mm\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "# 4. Discussion Questions\n", + "**Answer in the given space below**\n", + "\n", + "1) How does an increase in diameter affect the strength of the material?\n", + "\n", + "**Your Answer:**\n", + "An increase in diameter can contribute to an increase in tensile strength. This is because a larger cross-sectional area allows the material to distribute the applied load over a greater area, reducing stress.\n", + " \n", + "\n", + "2) If you were asked to predict the what strength a sample would have if the diameter were 20 mm, would you be able to accurately calculate that value? Why or why not?\n", + "\n", + "**Your Answer:**\n", + "Predicting the strength for a diameter of 20 mm using the linear regression model may not be accurate if the prediction falls outside the observed range of the data. This is because linear regression models assume that the relationship between variables holds within the observed range, and extrapolation beyond that range introduces uncertainty, hence alternative models or additional data collection within the relevant range may be necessary for more accurate results.\n", + "\n", + "3) After fitting the data, is a linear model the best representation of the given data? If so, how do you know?\n", + "\n", + "**Your Answer:**\n", + "A linear model was considered appropriate after the following assumptions were met:\n", + "\n", + " 1. Check for random and symmetric residuals around zero(normal distribution).\n", + " 2. Ensure the relationship between variables is approximately linear.\n", + " 3. Examine and address potential influential outliers.\n", + " 4. Verify constant variability of residuals across all levels." + ], + "metadata": { + "id": "GTk1f_rleYwz" + } + } + ] +} \ No newline at end of file diff --git a/StrengthvsDiameter.ipynb b/StrengthvsDiameter.ipynb new file mode 100644 index 00000000..2a7b4473 --- /dev/null +++ b/StrengthvsDiameter.ipynb @@ -0,0 +1,834 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + }, + "language_info": { + "name": "python" + } + }, + "cells": [ + { + "cell_type": "markdown", + "source": [ + "# Shear Strength vs Diameter of Weld\n", + "\n", + "**Prepared by:** Emmanuel Barias (ebarias@nd.edu) and Vivian Okorie (vokorie3@nd.edu)\n", + "\n", + "**Reference:** Exercise 7.2, problem 8, Statistics for Engineers and Scientists, Fourth Edition by Prof. William Navidi (2014).\n", + "\n", + "**Intended Audience:** This problem is intended for undergraduate statistic students learning about data analysis methods." + ], + "metadata": { + "id": "PGp7evu-PaA7" + } + }, + { + "cell_type": "markdown", + "source": [ + "## Import Libraries" + ], + "metadata": { + "id": "udEGkJvQWFBx" + } + }, + { + "cell_type": "code", + "source": [ + "# Importing libraries\n", + "import scipy.stats as stats\n", + "import numpy as np\n", + "import pandas as pd\n", + "import math\n", + "import matplotlib.pyplot as plt\n", + "import numpy.linalg as nplin" + ], + "metadata": { + "id": "9VfnGG5fWEW5" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "source": [ + "# 1. Introduction" + ], + "metadata": { + "id": "C6-t29REPaZI" + } + }, + { + "cell_type": "markdown", + "source": [ + "Linear regression is a way to interpret your data and understand the relationship the variables have with one another. Using linear regression we can understand if variables have a dependance on one another. We can combine other data analysis techniques (such as covariance) and determine if the variables are truly independent. While there are quite a few steps to solve this problem, the biggest take away from this notebook should be **CORRELATION** does **NOT** mean **CAUSATION**." + ], + "metadata": { + "id": "wBtfngjIPaxc" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 1.1 Learning Objectives\n", + "\n", + "\n", + "* Learn to perform simple linear regression given data\n", + "* Interpret what the linear regression analysis returns\n", + "* Perform a covariance analysis to determine independence of variables (omit this for now until you see how long the other ones take)\n", + "* Calculate the $r^2$ value\n", + "* Perform a residual analysis\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n" + ], + "metadata": { + "id": "ssDLKZptPbBq" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 1.2 Problem Statement\n", + "\n", + "The following table presents shear strengths (in kN/mm) and weld diameters (in mm) for a sample of spot welds.\n", + "\n", + "\n", + "\n", + "\n", + "|_Additional Information_ || |\n", + "|-----------------------------------||---------------------------------|\n", + "|___Diameter___ || ___Strength___ |\n", + "|4.2 || 51 |\n", + "|4.4 || 54 |\n", + "|4.6 || 69 |\n", + "|4.8 || 81 |\n", + "|5.0 || 75 |\n", + "|5.2 || 79 |\n", + "|5.4 || 89 |\n", + "|5.6 || 101 |\n", + "|5.8 || 98 |\n", + "|6.0 || 102 |" + ], + "metadata": { + "id": "OLdR0KaWgSD9" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 1.3 Problem Setup" + ], + "metadata": { + "id": "FmHPlT7kVri6" + } + }, + { + "cell_type": "code", + "source": [ + "# Arrays for diameter and strength\n", + "diameter = np.array([4.2, 4.4, 4.6, 4.8, 5.0, 5.2, 5.4, 5.6, 5.8, 6.0]) # units of mm\n", + "\n", + "strength = np.array([51, 54, 69, 81, 75, 79, 89, 101, 98, 102]) # units of kN/mm" + ], + "metadata": { + "id": "RPg8wqNgV5Pg" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "source": [ + "# 2. Plotting and Solving for Regression Line\n", + "\n", + "To solve for the regression line, we need to use the Equation 1.1:\n", + "\n", + "$$(Equation 1.1):\\hat{y} = \\hat{\\beta_0} + \\hat{\\beta_1}x$$\n", + "\n", + "where $\\hat{y}$ is our predicted value, $\\hat{\\beta_0}$ is the y-intercept, and $\\hat{\\beta_1}$ is the slope." + ], + "metadata": { + "id": "QfTY21udW6-J" + } + }, + { + "cell_type": "markdown", + "source": [ + "## Computing Regression Line Numerically\n", + "\n", + "We can calculate the values for $\\hat{\\beta_0}$ and $\\hat{\\beta_1}$ numerically using the following equations:\n", + "\n", + "\n", + "\n", + "$$(Equation 2.1): \\hat{\\beta_1} = \\frac{\\sum_{i=1}^n (x_i - \\bar{x})(y_i - \\bar{y})}{\\sum_{i=1}^n (x_i - \\bar{x})^2}$$\n", + "\n", + "\n", + "where $\\bar{x}$ is the sample mean for x and $\\bar{y}$ is the sample mean for y.\n", + "\n", + "$$(Equation 2.2): \\hat{\\beta_0} = \\bar{y} - \\hat{\\beta_1} \\bar{x}$$\n", + "\n", + "For this problem, we will use scipy to calculate our regression line equation.\n", + "\n" + ], + "metadata": { + "id": "P2AarO9GcA8e" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 2.1 Plot the Given Data" + ], + "metadata": { + "id": "DBhVw4uAXUTq" + } + }, + { + "cell_type": "code", + "source": [ + "##BEGIN SOLUTION\n", + "\n", + "# use scipy.stats.linregress to calculate a line of best fit and extract the key info\n", + "slope, intercept, r, p, se = stats.linregress(diameter,strength)\n", + "\n", + "# create a lambda function to plot the line of best fit\n", + "xline = np.linspace(3,7,10)\n", + "y = lambda x: slope*x + intercept\n", + "yline = y(xline)\n", + "\n", + "# plot data\n", + "plt.figure(figsize=(4,4), dpi=300)\n", + "plt.plot(diameter,strength,'o',markersize=8,label=\"data\")\n", + "plt.plot(xline,yline,'-',linewidth=3,label=\"best fit line\")\n", + "plt.xlabel('Diameter (mm)',fontweight=('bold'),fontsize=16)\n", + "plt.ylabel('Strength (kN/mm)',fontweight=('bold'),fontsize=16)\n", + "plt.legend()\n", + "plt.show()\n", + "\n", + "##END SOLUTION" + ], + "metadata": { + "id": "FK8D2M5dXZQr", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 1000 + }, + "outputId": "88cccb70-ef2b-4328-9942-8f3de9c2e3aa" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": "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\n" + }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "## 2.2 Calculate the equation for the least-squares line to predict strength based on diameter\n" + ], + "metadata": { + "id": "77UXw0QjJkDs" + } + }, + { + "cell_type": "markdown", + "source": [ + "Using the equations from 2.1, compute the equation for the least-square line for predicting strength from diameter." + ], + "metadata": { + "id": "m47lcw6WKPkt" + } + }, + { + "cell_type": "code", + "source": [ + "## BEGIN SOLUTION\n", + "\n", + "# Given data\n", + "x = diameter\n", + "y = strength\n", + "\n", + "# Calculate the number of data points\n", + "n = len(x)\n", + "\n", + "# Calculate averages\n", + "xbar = np.mean(x)\n", + "ybar = np.mean(y)\n", + "\n", + "# Calculate the numerator\n", + "num = (x - xbar).dot(y - ybar)\n", + "\n", + "# Calculate the denominator\n", + "denom = (x - xbar).dot(x - xbar)\n", + "\n", + "# Calculate the slope (beta_1)\n", + "b1 = num / denom\n", + "\n", + "# Calculate the intercept (beta_0)\n", + "b0 = ybar - (b1 * xbar)\n", + "\n", + "# Print results\n", + "print(\"Slope = {:.2f} kN/mm unit\".format(b1))\n", + "print(\"Intercept = {:.2f} kN\".format(b0))\n", + "\n", + "# Print the final equation\n", + "print(\"\\nThe least-square line for predicting strength from diameter:\")\n", + "print(\"y = {:.2f} + {:.2f}x\".format(b0, b1))\n", + "\n", + "##END SOLUTION" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "njiRuvJMOmo2", + "outputId": "596cc1d4-fc6d-42e8-fa71-884798a0387d" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Slope = 28.94 kN/mm unit\n", + "Intercept = -67.69 kN\n", + "\n", + "The least-square line for predicting strength from diameter:\n", + "y = -67.69 + 28.94x\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "## 2.3 Computing the fitted values and the residual for each point" + ], + "metadata": { + "id": "8f_eb4X9-ES2" + } + }, + { + "cell_type": "code", + "source": [ + "## BEGIN SOLUTION\n", + "\n", + "# Calculate predicted values (y)\n", + "y_predicted = b0 + (x * b1)\n", + "\n", + "# Calculate residuals (ei)\n", + "residuals = y - y_predicted\n", + "\n", + "# Create a Pandas DataFrame for the table\n", + "data = {\n", + " 'Diameter': diameter,\n", + " 'Strength': strength,\n", + " 'y': y_predicted,\n", + " 'ei': residuals\n", + "}\n", + "df = pd.DataFrame(data)\n", + "\n", + "# Display the table\n", + "print(df)\n", + "##END SOLUTION" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "TlaO8c_B-DLb", + "outputId": "e0e3aad7-6b13-4e9a-fa6f-6772162a8c7b" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + " Diameter Strength y ei\n", + "0 4.2 51 53.854545 -2.854545\n", + "1 4.4 54 59.642424 -5.642424\n", + "2 4.6 69 65.430303 3.569697\n", + "3 4.8 81 71.218182 9.781818\n", + "4 5.0 75 77.006061 -2.006061\n", + "5 5.2 79 82.793939 -3.793939\n", + "6 5.4 89 88.581818 0.418182\n", + "7 5.6 101 94.369697 6.630303\n", + "8 5.8 98 100.157576 -2.157576\n", + "9 6.0 102 105.945455 -3.945455\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "## 2.4 Visualize the Predicted data" + ], + "metadata": { + "id": "_yStS2zmnY5N" + } + }, + { + "cell_type": "code", + "source": [ + "##BEGIN SOLUTION\n", + "\n", + "# generate predictions\n", + "diameter_pred = np.linspace(4.2, 6.0, 10)\n", + "y_pred = b0 + b1 * diameter\n", + "\n", + "# create plot\n", + "plt.figure(figsize=(4,4), dpi=300)\n", + "plt.plot(diameter,strength,'.b',markersize=8,label='Data')\n", + "plt.plot(diameter_pred,y_pred,'-r',linewidth=3,label='Best Fit Line')\n", + "plt.plot(xbar,ybar,'sg',markersize=8,label=r\"Average ($\\bar{x}$,$\\bar{y}$)\")\n", + "plt.xlabel('Diameter [mm]',fontweight='bold', fontsize=16)\n", + "plt.ylabel('Strength [kN / mm]',fontweight='bold', fontsize=16)\n", + "plt.xticks(fontsize=15)\n", + "plt.yticks(fontsize=15)\n", + "plt.grid(False)\n", + "plt.legend()\n", + "plt.show()\n", + "\n", + "##END SOLUTION" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 1000 + }, + "id": "fupvuSqcnolD", + "outputId": "c2f2aaaa-647b-47af-8b28-5459090e2fa4" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": "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\n" + }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "## 2.5 Plot of residual vs Fitted value\n", + "From the table above, we would make a plot of the residual vs fitted value\n", + "\n", + "1. Are there any clear patterns in the residuals?\n", + "\n", + "2. Are there any extreme outliers?" + ], + "metadata": { + "id": "iMkD9OtR9IHW" + } + }, + { + "cell_type": "code", + "source": [ + "##BEGIN SOLUTION\n", + "\n", + "# Plot of residual vs fitted value\n", + "plt.figure(figsize=(4,4),dpi=300)\n", + "plt.plot(y_predicted,residuals,\"b.\", markersize=8)\n", + "plt.xlabel(\"Predicted Strength\",fontweight='bold',fontsize=16)\n", + "plt.ylabel(\"Residual\",fontweight='bold',fontsize=16)\n", + "plt.grid(False)\n", + "plt.show()\n", + "\n", + "##END SOLUTION" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 1000 + }, + "id": "vcE6Wt0s9ZQo", + "outputId": "15d53db8-60be-4784-d169-8dd0ff00c6ee" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": "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\n" + }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "# 2.6 Multivariate uncertainty analysis\n", + "We can evaluate how good our line of fit matches the data set given to us within a certain confidence interal. In order to calculate it however, there are a few steps to it starting with finding the uncertainty in measurement for this problem.\n", + " $$(Equation2.3): \\hat{\\beta} = (\\mathbf{X}^T \\mathbf{X})^{-1} \\mathbf{X}^T y$$\n", + "\n", + " The first step to calculating uncertainty is to find $\\hat{\\beta}$. Once we have beta, then we can move to calculate $\\hat\\sigma^2$. The formula is listed below.\n", + " $$(Equation2.4): \\hat\\sigma^2 = Var[y - x\\hat{\\beta}] = \\frac{((y-\\hat{y})^T(y-\\hat{y}))}{(n-m)} $$\n", + "\n", + " In this formula, y is the recorded output and x is the predicted value. After calculating sigma, the final step is to then use Equation 2.5 to visualize what our confidence interval is for our regression line.\n", + "\n", + " $$(Equation2.5): \\hat{y} \\pm t_{n-m}^{α/2} \\sqrt{\\hat\\sigma^2 + \\mathbf{x}_o^T[\\hat\\sigma^2(\\mathbf{X}^T\\mathbf{X}^{-1}) ] \\mathbf{x}_o } $$\n", + "\n" + ], + "metadata": { + "id": "hE3Cche8Gg4Y" + } + }, + { + "cell_type": "code", + "source": [ + "##BEGIN SOLUTION\n", + "\n", + "# Creating initial matricies\n", + "confidence_level = 0.95\n", + "n = 10\n", + "m = 2\n", + "X = np.array([np.ones(len(diameter)), diameter]).transpose()\n", + "Y = np.array(strength)\n", + "\n", + "lower_bound = []\n", + "upper_bound = []\n", + "\n", + "#Calculating t-score\n", + "t_score = abs(stats.t.ppf((1 - confidence_level) / 2, df=n-m-1))\n", + "\n", + "# Calculating beta\n", + "beta_hat = nplin.inv(np.transpose(X) @ X) @ np.transpose(X) @ Y\n", + "\n", + "# Calculating sigma hat squared\n", + "sigma_hat = math.sqrt((np.transpose(Y - X @ beta_hat) @ (Y - X @ beta_hat)) * (1/(n-m)))\n", + "\n", + "for i in range(len(diameter)):\n", + " # Creating X_o vector\n", + " X_o = [1, diameter[i]]\n", + " # Calculating confidence interval line\n", + " Y_hat_o = np.transpose(X_o) @ beta_hat\n", + "\n", + " uncertainty = sigma_hat * t_score * math.sqrt(1 + np.transpose(X_o) @ nplin.inv((np.transpose(X) @ X)) @ X_o)\n", + "\n", + " lower_confidence = Y_hat_o - uncertainty\n", + " lower_bound.append(lower_confidence)\n", + "\n", + " upper_confidence = Y_hat_o + uncertainty\n", + " upper_bound.append(upper_confidence)\n", + "\n", + "##END SOLUTION" + ], + "metadata": { + "id": "9h_2-tFvixf0" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "source": [ + "Now that we've solved for the intervals we will be using our calculated values to plot the confidence intervals of our regression line." + ], + "metadata": { + "id": "1CAD6-_xQAnI" + } + }, + { + "cell_type": "code", + "source": [ + "##BEGIN SOLUTION\n", + "\n", + "# create plot\n", + "plt.figure(figsize=(6.4,4),dpi=300)\n", + "plt.plot(diameter,strength,'.b',markersize=8,label='Data')\n", + "plt.plot(diameter_pred,y_pred,'-r',linewidth=3,label='Best Fit Line')\n", + "plt.plot(diameter_pred, upper_bound, '--g',linewidth=3,label='Confidence Interval')\n", + "plt.plot(diameter_pred, lower_bound, '--g',linewidth=3)\n", + "plt.plot(xbar,ybar,'sg',markersize=8,label=r\"Average ($\\bar{x}$,$\\bar{y}$)\")\n", + "plt.xlabel('Diameter [mm]',fontweight='bold',fontsize=16)\n", + "plt.ylabel('Strength [kN / mm]',fontweight='bold',fontsize=16)\n", + "plt.grid(False)\n", + "plt.legend()\n", + "plt.show()\n", + "\n", + "##END SOLUTION" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 1000 + }, + "id": "hzAq2wIUQraJ", + "outputId": "dab77efc-fa85-4bef-e42b-26355c65f683" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": "iVBORw0KGgoAAAANSUhEUgAABssAAARxCAYAAABnULlwAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjcuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/bCgiHAAAACXBIWXMAAC4jAAAuIwF4pT92AAEAAElEQVR4nOzdd3jT1dvH8U+6oawyKrtlTxFkCspQpgNQEESRIYiyFXGhCO6FIrI3ArIFBJEpVBCwLVM2FGihZRVooYPSleePPuRHOtOSJh3v13X1gnNyvue+k640d845BqPRaBQAAAAAAAAAAACQDznYOwEAAAAAAAAAAADAXiiWAQAAAAAAAAAAIN+iWAYAAAAAAAAAAIB8i2IZAAAAAAAAAAAA8i2KZQAAAAAAAAAAAMi3KJYBAAAAAAAAAAAg36JYBgAAAAAAAAAAgHyLYhkAAAAAAAAAAADyLYplAAAAAAAAAAAAyLcolgEAAAAAAAAAACDfolgGAAAAAAAAAACAfItiGQAAAAAAAAAAAPItimUAAAAAAAAAAADItyiWAQAAAAAAAAAAIN+iWAYAAAAAAAAAAIB8i2IZAAAAAAAAAAAA8i2KZQAAAAAAAAAAAMi3KJYBAAAAAAAAAAAg36JYBgAAAAAAAAAAgHyLYhkAAAAAAAAAAADyLYplAAAAAAAAAAAAyLcolgEAAAAAAAAAACDfolgGAAAAAAAAAACAfItiGQAAAAAAAAAAAPItimUAAAAAAAAAAADItyiWAQAAAAAAAAAAIN9ysncCQH4SHh6uv//+29SuUKGCXF1d7ZgRAAAAAAAAAAD2d/fuXV28eNHUbtWqlYoVK2aT2BTLABv6+++/1bVrV3unAQAAAAAAAABAjrZ27Vp16dLFJrHYhhEAAAAAAAAAAAD5FsUyAAAAAAAAAAAA5FtswwjYUIUKFczaa9euVdWqVe2UDQAAAAAAAAAAOUNAQIDZMUbJX0/PThTLABtydXU1a1etWlV16tSxUzYAAAAAAAAAAORMyV9Pz05swwgAAAAAAAAAAIB8i2IZAAAAAAAAAAAA8i2KZQAAAAAAAAAAAMi3KJYBAAAAAAAAAAAg36JYBgAAAAAAAAAAgHyLYhkAAAAAAAAAAADyLYplAAAAAAAAAAAAyLcolgEAAAAAAAAAACDfolgGAAAAAAAAAACAfItiGQAAAAAAAAAAAPItimUAAAAAAAAAAADItyiWAQAAAAAAAAAAIN+iWAYAAAAAAAAAAIB8i2IZAAAAAAAAAAAA8i0neycAIHsZjUYlJibKaDTaOxUAAJDHGQwGOTg4yGAw2DsVAAAAAAAsRrEMyGOMRqNiYmIUERGhiIgIxcbG2jslAACQz7i4uKhw4cIqXLiw3NzcKJ4BAAAAAHI0imVAHhIdHa1Lly4pLi7O3qkAAIB8LDY2Vjdu3NCNGzfk7OyssmXLqmDBgvZOCwAAAACAVHFmGZBHREdH68KFCxTKAABAjhIXF6cLFy4oOjra3qkAAAAAAJAqimVAHnCvUMa5ZAAAICcyGo0UzAAAAAAAORbbMAK5nNFo1KVLl1IUypydnVWkSBEVKlRIzs7OnBUCAACyndFoVFxcnCIjI3X79m2zFe/3nrNUqVKF5yUAAAAAgByFYhmQy8XExKTYerFw4cIqV64cL0QBAACbc3Z2VsGCBVWqVCmFhIQoIiLCdFtcXJzu3r0rNzc3O2YIAAAAAIA5tmEEcrn7X4CSkl6golAGAADszWAwqFy5cnJ2djbrv337tp0yAgAAAAAgdRTLgFwuebGsSJEiFMoAAECOYDAYVKRIEbO+5M9dAAAAAACwN4plQC5mNBoVGxtr1leoUCE7ZQMAAJBS8ucmsbGxKc5aBQAAAADAniiWAblYYmJiir7kWx0BAADYk5NTymOSU3sOAwAAAACAvVAsA3Kx1N6VzRaMAAAgJ3FwSPknByvLAAAAAAA5CcUyAAAAAAAAAAAA5FsUywAAAAAAAAAAAJBvUSwDAAAAAAAAAABAvkWxDAAAAAAAAAAAAPmWk70TQN4RGRmpY8eO6eTJk7px44ZiYmJUrFgxeXp6qlGjRvL29rZ6zGPHjmn//v26fPmyEhISVKJECdWtW1dNmzaVkxNf3gAAAAAAAAAAIH1UE/KBkJAQ+fn5ydfXV35+ftq3b58iIiJMt3t5eSkwMDBLc/v6+mrt2rX666+/tH//fiUmJqY51svLS2+++abeeOMNeXh4ZCmeJBmNRs2fP1/ffvutTp8+neqYEiVKaPDgwfrggw/k7u6e5VgAAAAAAAAAACBvo1iWR+3evVs//PCDfH19denSJavPf+jQIXXr1k3nzp2z+JqgoCB9+OGHmjRpkubPn6+OHTtmOm54eLh69OihrVu3pjvuxo0b+uKLL7RkyRKtW7dOderUyXQsAAAAAAAAAACQ93FmWR7l7++vNWvWZEuhTJKCg4PTLJQVLVpUNWrUUJMmTVS5cmUZDAaz269cuaJnnnlGy5Yty1TMO3fuqEOHDikKZS4uLqpevboefvjhFKvIzp07pzZt2iggICBTsQAAAAAAAAAAQP5AsSwfKlSokNXnbNasmaZMmaJjx44pPDxcJ0+elK+vr86ePaurV6/qyy+/VMGCBU3jExMT1adPHx08eNDiGKNGjZKfn5+p7eDgoLFjx+rKlSs6deqU/vvvP928eVPz58832+YxNDRUPXr0UEJCgnXuLAAAAAAAAAAAyDMoluVxhQsXVuvWrfXuu+9q5cqVCgwM1Pr1660yt4ODg3r37q2jR49q7969Gjp0qGrXrp1iXKlSpTRmzBjt3btXxYsXN/XHxcXprbfesijWyZMnNXv2bLO+xYsX67PPPjMrjLm4uKhfv37atWuXihUrZuo/ePCgFi5cmLk7CAAAAAAAAAAA8jyKZXnUc889Z1rltWPHDn333Xfq3r27vLy8rDJ/9erV9d9//2nRokUWnwdWr149zZ8/36xv586dFm2ROG7cOLOVYa+++qp69eqV5vg6depowoQJZn2ffvqp4uLiLMoVAAAAAAAAAADkDxTL8qgqVaqodu3acnDInk9x9erVLS6S3a9z584pVp9t2rQp3WvCwsK0evVqU9tgMGj8+PEZxurfv79ZcTAoKEjbtm3LXMJAHuLt7S2DwZDuh5ubm4oWLarKlSurefPm6tu3r7777jvt3r2bYjMAAAAAAACAPIliGWzuiSeeMGtfuHAh3fEbNmxQfHy8qd26dWtVrlw5wzgODg7q37+/Wd/atWstTxTIh+7evavbt2/r/Pnz2rt3rxYuXKj3339fjz/+uDw9PTVgwAAdOnTI3mmmavz48WaFPx8fH3unBAAAAAAAACAXoFgGm7v/jDFJunXrVrrjN2zYYNZu3769xbHatWtn1v7jjz8svhaAufDwcM2bN08NGjTQiy++qJCQEHunBAAAAAAAANhcUHiQgm8H2zsNWJGTvRNA/pP8BfYSJUqkOz75KpbmzZtbHKthw4ZydXXV3bt3JUmXLl1SaGioSpUqZfEcQF41YcIEPfLII2Z9cXFxCgsLU3h4uIKCgrR3717t27dPd+7cMRu3atUq+fj4aOXKlWrdurUNswYAAAAAAABsz2g0ateFXZrkO0lrT67VGw3f0LRnptk7LVgJxTLYlNFo1D///GPWV7169TTHx8XFKSAgwKwv+Zln6XF1dVWVKlV0/PhxU9+JEycolgFKKiZbUui6c+eOFi1apJ9++kknTpww9V+/fl1PP/20Nm7cqFatWmVjpgAAAAAAAIB9xMTHaNnRZZrkO0mHrhwy9f9y+Bd9+eSX8ijgkfbFyDXYhhE25ePjo/Pnz5vaBoNBHTt2THP8uXPnzM4rK1CggEqWLJmpmBUqVDBrnzp1KlPXw75u3ZKmTJHatJGqVZPKlEn6t02bpP7bt+2dYd5XoEABDRo0SP/995/efvtts9vu3LmjF198UZcvX7ZTdgAAAAAAAID1XYq4pE92fKKKEyuq/+/9zQplkhQdF625B+faJzlYHSvLYDOJiYn68MMPzfo6duyo0qVLp3nNtWvXzNrlypXLdNzk1ySfM6uuXbum0NDQTF2TfJUc0nbxovTll9LixVJUVMrbAwIkHx/pgw+kV1+VxoyRktVFYWVOTk768ccfVaFCBY0aNcrUHxoaqnfffVeLFy+2Y3YAAAAAAADAg/ML8dMk30lacWyF4hPj0x07xW+K3mr2lpwcKLXkdnwGYTMTJkyQr6+vqe3g4KAvv/wy3WsiIyPN2u7u7pmOm/ya5HNm1bRp0/Tpp59aZS6Y271b6txZunkz47FRUdKMGdLKldK6dVImjrRDFr399tvatWuX1qxZY+pbsmSJxo4dqxo1alg0R3BwsI4dO6bz58/r1q1bkqTixYurXLlyeuyxx+ThkTOWr58/f17Hjh3ThQsXdOvWLTk5Oal48eLy8vJSs2bNVKhQIXunCAAAAAAAgAcUlxCn3078pp99f9be4L0WXxd0K0jrTq3TC7VeyMbsYAsUy2ATu3bt0kcffWTW99Zbb6lBgwbpXpe8sOXm5pbp2AUKFEh3TuQsu3dLbdtKMTGZu+7GDempp6Rt26QWLbInN/zPhAkT9PvvvysxMVFS0nmEM2fO1I8//pjq+Pj4eG3btk2rVq3Stm3bFBQUlObcBoNBzZo103vvvacuXbrIYDCkOdbHx0dt2rRJ9ba0+u8xGo0p+mJiYrRhwwatXr1a27dv15UrV9K83tHRUU899ZQ+/PBDi85+AwAAAAAAQM5yPfq6Zu2fpWn+0xQSEZKlOSb5TqJYlgdwZhmy3blz5/TCCy+YnT1Wv359ffXVVxleG5OsYuLi4pLp+K6urmbtO3fuZHoO2MbFi0kryjJbKLsnJkbq0iVpHmSvypUr67nnnjPrW7t2bZrjX3rpJXXq1Elz585Nt1AmJRWx9u7dq+eff17du3dXVGr7cGaTxx9/XN27d9eSJUvSLZRJUkJCgrZs2aI2bdpo2LBhZj/jAAAAAAAAkHMduXpEr697XRUmVtBH2z/KcqFMknYG7UxxnhlyH1aWIVtdv35dnTp10vXr1019Dz30kFavXp2iiJWa5CvJYmNjM53D3bt3050zq4YMGaIXX3wxU9cEBASoa9euVomfF331lWVbL6bnxo2keaZPt05OSNsLL7yg33//3dQ+f/68goKC5OXllWJs8sK3JJUqVUqlSpVS4cKFFRMTo5CQELOfFZK0evVq3bp1S1u2bJGDQ/a/vyO1PMuWLavixYurUKFCioqKMm3JeL+pU6cqOjpa8+bNy/YcAQAAAAAAkHkJiQnacGaDJvlO0vbz26069yTfSZrfZb5V54RtUSxDtomIiFCnTp10+vRpU1/RokW1efNmVapUyaI5kp8HlNoL2RlJvpLMWmcMeXp6ytPT0ypzQbp9W1q0yDpzLV4sffutVKSIdeZD6po2bZqi7+DBg6kWyySpZMmS6tGjh5555hk1adJEJUuWTDEmICBA8+bN08SJE03f73/99ZcmTZqkt99+O8X4Rx55RFu3bpUkLVy4UIvu+yKaMGGCHnnkkUzfr4oVK+rFF1/U008/rUaNGqlIsi8ko9GoI0eOaMaMGZo1a5YSEhIkSfPnz9dzzz2n559/PtMxAQAAAAAAkD1uxdzS/EPzNdlvss6FncuWGEuOLNG3bb+VpzuvF+dWFMuQLWJiYtS5c2ft27fP1FewYEFt2LAhUy9eJy9sZWU7tuTXWKtYButauFCy1m57kZFJhbehQ60zH1JXvXp1FSpUyOwcwHPnUn/C8dFHH6lBgwYZruysWrWqvvrqK/Xo0UNPPfWUbv7/UsMffvhBw4cPl5OT+a8tDw8PtW3bVpL0zz//mN3WsGHDTJ8lNn36dDVv3lyOjo5pjjEYDKpXr56mTZum559/Xs8995xpBes333xDsQwAAAAAACAHOHPjjCb7Tdb8Q/MVGRuZ8QUPIDYhVjP3zdTYVmOzNQ6yD2eWweri4uLUo0cP+fj4mPpcXFy0evVqtWjRIlNzJV+5FRKS+b1jk1/DarCc6bffrDvfqlXWnQ8pGQwGlShRwqzv8uXLqY597LHHMrUFav369fXdd9+Z2iEhIdqyZUvWEs2EJ554It1CWXLt2rXTu+++a2r7+fnp+PHj2ZEaAAAAAAAAMmA0GrXl7BY9s+QZVZ9SXZP9Jmd7oeyeafumKTYh88cIIWegWAarSkxMVJ8+fbR+/XpTn6Ojo5YsWaIOHTpker7KlSubrSS5c+eOQkNDMzXHhQsXzNo1a9bMdB7IfsHB1p0vC3VVZEGxYsXM2vevMntQL730klnhas+ePVab25p69+5t1s6peQIAAAAAAORVUbFRmrFvhupMq6MOizvozzN/2jR+k3JN9EP7H+RgoOSSW7ENI6zGaDRq0KBBWrZsmanPYDBozpw56tatW5bmdHZ2VpUqVXTq1ClT3/Hjx9WqVSuLrr97926KbeEoluVMVqyxSJIiIqw7H1KXfFvT2FjrvXvG3d1dnp6eptVqBw8etNrc1pT8DMacmicAAAAAAEBec+HWBU3xm6I5B+YoLCbMprGdHJzUvXZ3jWw6Us3KN7NpbFgfxTJYzdtvv625c+ea9f3888/q16/fA81bv359s2LZnj17LC6W7d+/33SWkCSVKVOGbRhzKGsfJVe4sHXnQ+oiklUlXV1dM7zm2LFjWrVqlQ4cOKDjx48rLCxMt2/fVlxcXLrXXb9+/YFyzSw/Pz+tXbtWhw4d0smTJxUeHq6IiAjFx8ene52t8wQAAAAAAMhPjEajdl/crUm+k7T6xGolGhNtGr9kwZJ6o+EbGtxosMoVKWfT2Mg+FMtgFWPHjtWkSZPM+r766isNGzbsged+9tlntXz5clN769at+vDDDy26duvWrWbt55577oHzQfYoX14KCLDefOX4PWUTt27dMmsnX2l2vyNHjmjYsGHauXNnlmKFh4dn6brM2rVrl4YNG6b//vsvS9fbKk8AAAAAAID85G78XS07ukw/+/2sA5cP2Dz+w54P661mb6lX3V4q4FzA5vGRvSiW4YF9//33+uKLL8z6PvzwQ4sLWhl5+umn5eTkZFrN4ePjo3Pnzqly5crpXmc0GrVgwQKzvi5dulglJ1hft26Sj4/15uve3XpzIXVGozHFKqqyZcumOvaPP/5Qt27dHmibxvtXiWaXmTNnavDgwTIajVmewxZ5AgAAAAAA5BdXIq9ouv90zdg/Q9eirtk0tkEGdanZRSObjlQrr1YyGAw2jQ/boViGBzJz5ky99957Zn3Dhg3TV199ZbUYxYsXV9euXbVq1SpJSS/Qjx8/XgsXLkz3unnz5ikwMNDU9vLyUtu2ba2WF6yrTx/pgw+kqKgHn6tQIenVVx98HqTv5MmTikr2CatSpUqKcadPn1b37t3NCmUGg0FNmjRR8+bNVblyZZUuXVpubm5yc3Mzu7Z37966evVq9tyBZHbs2JGiUObk5KTHH39cTZs2lZeXlzw9PeXm5pZiu8l27drZJEcAAAAAAID8Yt+lfZrkO0nLjy5XXGL6x3dYWxHXIhrYYKCGNRmmSh6VMr4AuR7FMmTZkiVLNGTIELO+/v376+eff7Z6rE8//VSrV69WYmLS/rOLFi1Sp06d1KtXr1THHz9+XKNHjzbrGzt2rFxcXKyeG6yjSJGkAteMGQ8+V+/eSfMhe/n5+aXoa9CgQYq+Dz74wGy1VZMmTfTLL7+oZs2aGcaw5bt13nnnHbNC2TPPPKMZM2aofPny6V7HSjIAAAAAAADriE+M15oTa/ST70/ac3GPzeNXL1FdI5qMUN/6fVXIJe3jRpD3UCzLw3bv3q07d+6k6D98+LBZOyYmRtu2bUt1jrJly6p27dop+rdt26a+ffuaileSVLNmTfXs2VN//fVXpvL08PBQw4YN0x1Tu3ZtDRw4ULNmzTL19e7dWydOnNDbb78tDw8PSVJcXJx+/fVXjRo1yuzcoHr16qlv376Zygu2N2aMtHKldONG1ucoUSJpHmS/e6s976latWqKwlJkZKQ2bNhgaj/00EPatGmT6Xs2I2FhYQ+eqAVOnz6tgwcPmtp169bV6tWrLSqw37x5MztTAwAAAAAAyDdu372tvmv76k58yte1s1OHKh00sulIdajaQQ4GB5vGRs5AsSwPe+WVVxQUFJThuKtXr6a5hVjfvn1TnPslSf/884/pDLF7Tp48qY4dO2Y6z1atWsnHgsOqJk6cqAMHDmjfvn2SpMTERH3++ef69ttvValSJbm6uurcuXOKjIw0u65kyZJauXKlnJz4cs/pKlSQfv9dattWionJ/PVubtK6dUnzIHudO3dOf/75p1nf888/n2LcgQMHzLZf7NWrl8WFsoCAAJut2vr333/N2gMHDrR4JeqxY8eyIyUAAAAAAIB8p3iB4urzSB/N3D8z22MVdC6oPvX6aETTEapVqla2x0PORokUuUbBggW1efNmPfnkk2b9sbGxOnXqlP77778UhTJvb29t375d1atXt2WqeAAtWkjbtiWtEMuMEiWkv/6SmjfPnrxgbvTo0WYrSx0cHDRo0KAU45KfN1ajRg2LY2zfvj1TOTk4mP9Ku39LxYzYMk8AAAAAAACkbUTTEdk6v1dRL33f7nsFvx2s6c9Op1AGSRTLkMsUL15cW7du1axZs1S1atV0x40ZM0ZHjhzRww8/bMMMYQ0tWkgHD0pvvim5u6c/tlChpHEHD1Ios5WJEydqzZo1Zn19+vRJ9XsyecHq/lVm6TEajZo+fXqm8nJP9sUSHR1t8bVZzfPu3buaN2+exXEAAAAAAACQvtqlaqtd5dR3QnsQLb1a6rcevylgRIBGNx8tjwKW7X6E/IF96fKwwMDAbJt7/PjxGj9+fLbNnx4HBwe9/vrrev3113XkyBEdOHBAly9fVkJCgkqUKKG6deuqadOmcnZ2tkt+sI4KFaTp06Vvv5UWLZJWrZJCQqSICKlwYalcOal7d+nVV6UiReydbf4QHx+v999/Xz/++KNZf+nSpfXtt9+mek3p0qXN2v/8849GjMj43UHTp0/XoUOHMpVf8eLFzdrnz5+3+NrU8uzcuXOG140dOzbFqjQAAAAAAAA8mJFNR2rrua0PPI+Lo4tefvhljWgyQg3KNLBCZsirKJYhV3v44YdZOZbHFSkiDR2a9AH7iImJ0aJFizRx4kSdOHHC7LaCBQtq1apV8vT0TPXahg0bysXFxbRSa/Xq1dqzZ4+ap7MM8I8//tCoUaMynWedOnXM2r/99puGDRtm0bXJ85kxY4YGDRqU7grWmTNnasKECZnOEwAAAAAAAOnrVK2TqhWvpjM3z2Tp+tKFSmtIoyF6o9Eb8nRP/XUr4H4UywAgn9q/f7/i4+PN+uLi4hQeHq7w8HAFBgbq33//1b59+1Ld0vChhx7SqlWr1KJFizRjuLu7q1u3blq6dKkkKSEhQZ06ddL333+vPn36yM3NzTT2zJkzmjhxombOnKnExER5enoqISFBN27csOj+NGjQQCVLltT169clST4+PnryySfVo0cPVaxYUS4uLmbj27Zta/p/1apV9dhjj2nv3r2SpIiICLVs2VKTJk3S888/Lyen//26PHz4sL766iutWLFCklSrVq0URUQAAAAAAABknYPBQcObDNeITZk7v6xx2cYa2XSkXqzzolwcXTK+APh/BmPyg1oAZJtjx46pbt26pvbRo0dTrIbJjPj4eJ05Y/7uimrVqpm9sA/c4+3traCgIKvM9dJLL2nixIkpti9MzdmzZ/Xoo4/q9u3bZv1ubm6qXr26XF1ddfnyZQUHB5tuc3R01Pr16zV48GBTzl5eXhluL/v555/rk08+seg+JP/1t2fPHrVu3VpxcXFm/YUKFVK1atXk4OCg4OBgs20X3d3dtWvXLj366KOmvlatWsnHx8eiHAAgP+D5CgAAAJD3GY1GGQwGq84ZcTdC5SeW1+27t9Md52hwVPfa3TWy6Ug1K9/M6nnAdqz9+nlmONgkCgAg1ytevLjprMClS5daVCiTpCpVqmjlypUqVKiQWX9MTIz+++8/+fv7mxXK3Nzc9Ouvv6pTp06ZznHMmDHq3bt3pq+TkrZinD17dorzDiMjI3Xw4EHt37/frFDm4eGhP/74Qw0asN81AAAAAADIf4xGo3Zf2K2eq3qq/+/9rT5/YdfCeq3+a2neXrxAcX34+IcKfCtQy7ov02MVHqNQhizj7ZwAABMXFxe5ubmpRIkSKl26tKpVq6a6deuqRYsWaty4cYpCkqXat28vf39/vffee1q/fn2qY5ycnNS1a1d9+eWXql69epbiODo6atGiRXrzzTe1dOlS+fv769y5c4qIiNDdu3czvL5v376qUaOG3n//fe3cuTPVMW5ubnr55Zf1xRdfqEyZMlnKEwAAAAAAILeKTYjV8qPLNcl3kvZf3i9JcnJw0ldPfaWyhctaNdbwpsM1yXeSjPrfDkF1PetqZNORevnhl1XQuaBV4yH/olgGAPlERlsYZreaNWtq3bp1unz5snbt2qXg4GBFR0erSJEiqlq1qpo3b65ixYqZXZPVnFu0aJHuWWrpadasmf7++28FBgZq9+7dunz5su7evatixYqpRo0aat68uQoWNH8ixo7GAAAAAAAgr7saeVUz9s3QjP0zdCXyitlt8Ynxmu4/XZ8/+blVY1b2qKznajyn9afW67kaz2lk05Fq492GFWSwOoplAACbKlOmjHr06GHvNDLk7e0tb29ve6cBAAAAAABgVwcuH9Ak30ladnSZYhNi0xw3c/9MfdTyI7k5uVk1/rdtv9WP7X9UleJVrDovcD+KZQAAAAAAAAAAwCQ+MV6/n/xdk3wnadeFXRZdExodqqVHlqp/A+ueX1azZE2rzgekhmIZAAAAAAAAAADQzTs3NffAXE3xn6ILty5k+vpJvpPUr34/tklErkOxDAAAAAAAAACAfOx46HH97PuzFv23SNFx0Vme5/DVw9oZtFOtvFtZMTsg+1EsAwAAAAAAAAAgn0k0JmpTwCZN8p2kLWe3WG3eSb6TKJYh16FYBgAAAAAAAABAPhFxN0K/HP5Fk/0m6/SN01af//dTvyswPFDexbytPjeQXRzsnQAAAAAAAAAAAMhe58LOadTmUSo/sbyGbxyeLYUyKWnF2hS/KdkyN5BdKJYBAAAAAAAAAJAHGY1G7Ti/Q12XdVXVn6tq4r8Tdfvu7WyPO+fAHEXGRmZ7HMBa2IYRAAAAAAAAAIA85E7cHS05skSTfCfpyLUjNo9fpXgVhdwOUY2SNWweG8gKimUAAAAAAAAAAOQBIbdDNM1/mmbun6kbd27YNLajwVEv1HpBI5uOVPMKzWUwGGwaH3gQFMsAAAAAAAAAAMjF/g3+V5N8J2nV8VWKT4y3aWwPNw8NajhIQxoPUcWiFW0aG7AWimUAAAAAAAAAAOQysQmxWnV8lSb5TpJfiJ/N49cuVVsjm45U73q9VdC5oM3jA9ZEsQwAAAAAAAAAgFwiNCpUM/fP1DT/abocedmmsQ0y6Jnqz2hk05F6qtJTbLWIPINiGQAAAAAAAAAAOdzhK4c1yXeSlhxZorsJd20au5BLIb1W/zUNbzpcVYtXtWlswBYolgEAAAAAAAAAkAMlJCZo3al1muQ7SX8H/W3z+JU9KmtEkxHq36C/irgWsXl8wFYolgEAAAAAAAAAkMMYjUY1m9tM+y7ts3nspyo9pZFNR+rpak/L0cHR5vEBW6NYBgAAAAAAAABADmMwGNS2UlubFcvcnNz0ar1XNaLpCNX1rGuTmEBOQbEMAAAAAAAAAIAcaEjjIfp+z/dKMCZkW4zyRcpraOOhev3R11WiYIlsiwPkZBTLAAAAAAAAAADIgSoUraButbtpxbEVVp+7eYXmGtl0pJ6v+bycHZ2tPj+Qm1AsAwAAAAAAAAAghxrZdKTVimXODs7qUaeHRjYdqcblGltlTiAvoFgGAAAAAAAAAEAO9Vj5x9SobKMHOrvM091TbzZ8U282elNlCpexYnZA3kCxDAAAAAAAAACAHMpgMGhk05F6dc2rmb62QekGGtl0pHrW7Sk3J7dsyA7IGxzsnQAAAAAAAAAAAEhbjzo9VLpQaYvGOhgc9EKtF/R3v7+1f9B+9a3fl0IZkAGKZQAAAAAAAAAAWIFfiJ++3/291ed1cXTR4EaD0x1TzK2YRj82WmdHnNVvPX5TS6+WMhgMVs8FyIvYhhEAAAAAAAAAgCyKS4jTbyd+0yTfSfo3+F9JUucanVWjZA2rxnmj4Rv6cteXik2INeuvWbKmRjQZoT6P9JG7i7tVYwL5BcUyAAAAAAAAAAAy6Xr0dc3aP0vT/KcpJCLE7LbJfpM15ekpVo33UKGH1KtuL/1y+BdJ0tPVntaIJiPUrko7ORjYRA54EBTLAAAAAAAAAACw0JGrRzTJd5J+PfKrYuJjUh2z4NACffHkFyrmVsyqsd9q9pYKuRTS8CbDrb5yDcjPKJYBAAAAAAAAAJCOhMQE/XH6D03ynaQdgTsyHB8VF6V5B+dp1GOjrJpH/dL1rb5iDQDFMgAAAAAAAAAAUhUeE675B+driv8UnQs7l6lrJ/tN1simI+Xo4JhN2QGwFjYyBQAgDxs/frwMBoPpw8fHx94p2VRgYKDZ/e/Xr5+9UwIAAAAA5ALHrh3T4D8Gq/yP5TVqy6hMF8okKTA8UOtPr8+G7ABYGyvLAAAAAAAAAAD5XkJigtafXq/JfpO1/fx2q8w5yXeSutbsapW5AGQfVpYBQD7h7e1ttsImrQ8HBwcVKVJEFSpU0JNPPqnRo0dr79699k4/X/Dx8bHoc5TRx6FDh+x9VzIl+eovg8Fg75QAAAAAAPnIjegb+vafb1X558p6fvnzViuUSZJPoI/+u/qf1eYDkD0olgEAzBiNRkVERCg4OFg7duzQDz/8oObNm6tBgwb5pmiWn7fuu/9+t27d2t7pAAAAAACQbQ5dOaQBvw9Q+Ynl9cFfH+jCrQvZEmfSv5OyZV4A1mO3bRiffPJJe4W2OYPBoL/++sveaQDAAzl06JCeeOIJzZ8/X6+++qq90wEAAAAAAMi0uIQ4rTm5RpP9JuufC//YJOavR37VN22/USn3UjaJByDz7FYsu7fVVF5nNBrzxf0EkPtMmDBBjzzySIr+hIQE3b59W6dOndLGjRu1Z88es9v69eunmjVrqnHjxrZMN1966KGHtHjx4kxfV7VqVdP/x48fr/Hjx1sxq9zF29tbRqPR3mkAAAAAAOzsauRVzdo/SzP2z9CliEs2jX034a5WHV+lwY0H2zQuAMvZrVh2T15+AYsiGYCcrGHDhhlus/fxxx9r48aN6tGjhyIjIyVJiYmJGj16tP7++28bZJm/ubm5qW3btvZOAwAAAACAXMs32FdT/KdoxbEVik2ItWlsB4ODOtforJFNR6qVVyubxgaQOXYvllFQAoCcrVOnTpo2bZr69Olj6tu1a5cuX76sMmXK2DEzAAAAAACAlO7G39WKYys02W+y/C/52zx+UdeiGvjoQA1tPFSVPCrZPD6AzLN7sYyVZQCQ8/Xq1UvDhw/XrVu3JCX97D569CjFMgAAAAAAkGOE3A7RjH0zNOvALF2Lumbz+DVK1NCIpiPU55E+KuRSyObxAWSd3YtlAICcz8nJSdWqVdO+fftMfaGhoVmaKzY2Vv/++68CAwMVGhqqxMRElSpVStWqVVOzZs3k6OiY5Tzj4uJ05MgRHT16VDdu3FBUVJRcXV1VuHBheXl5qXr16qpSpUqW5wdu3bqlnTt3KiAgQHfu3FGJEiVUtWpVPf7443J1dX3g+Y1Go/777z+dOHFC165dU1RUlEqWLKny5cvriSeeUKFC/LEFAAAAAPczGo3afXG3JvtN1uoTqxWfGG/zHDpW7aiRTUeqfZX2cjA42Dw+gAdHsQwAYJHkq2ULFCiQqeuPHj2qzz77TBs3bjSdf5ZcsWLF1Lt3b40dO1aenp4Wz33lyhV98cUXWrJkicLCwtIdW7JkST355JN67bXX1KFDB7PbvL29FRQUlOKaX375Rb/88kuac86fP1/9+vWzOF9bGj9+vD799FNTe8eOHSnOqmvdunWqZ9D9/fff6a6SHjdunMaPH2+tVLNFYGCgKlX635YXffv21YIFC9Icn/yxuLcC/vLly/roo4/066+/KjY25R737u7ueuutt/Thhx/K3d0903mGhobq66+/1rJly3T58uVUx7i4uKhjx476/PPPVa9evUzHAAAAAIC85E7cHS05skRT/Kfo0JVDNo9f0Lmg+j3ST8ObDlfNkjVtHh+AdVEsA/Kbt96SDh2ydxb5V/360k8/2TuLTEtISNCZM2fM+qpWrWrRtfHx8Xr77bc1bdo0JSYmpjs2PDxcU6ZM0S+//KKlS5fqmWeeyXD+rVu36sUXXzRtEZmR69eva8WKFQoJCUlRLANSs2vXLnXt2lU3b95Mc0xUVJS+/PJLbdmyRZs2bVLx4sUtnn/u3Ll6++23FRERke642NhYrVu3Tn/88YfGjRunTz75xOIYAAAAAJBXBIUHaZr/NM05OEc376T9d1p2qexRWcMaD1P/Bv1VzK2YzeMDyB4Uy4D85tAhKZUVJEB6Vq5cqfDwcFO7bNmyqlOnTobXRUdH64UXXtDmzZtT3Fa6dGmVLl1aDg4OCg4O1rVr/9tLPCIiQl26dNHSpUv14osvpjn/sWPH9Nxzz+nu3btm/a6urvL29lbRokWVkJCgW7duKSgoSHFxcRbcW+B/9u/fr06dOikqKkqS5ODgoEqVKqlEiRIKCwtTQECA2fmr/v7+6tevn9atW2fR/GPHjtUXX3yRor9IkSKqUKGC3N3dde3aNQUGBppuS0xM1Lhx43Tjxg1NmjTpwe4gAAAAAOQiozaP0iTfSUo0pv9m3OzQoUoHDW8yXJ2qdWKrRSAPypHFsvS2fMrJ7n+xDADyir/++ktvvvmmWd/o0aPl4JDxE8PBgwebFcoKFSqkt99+W/379zfbGk+SDh8+rC+++EKrVq2SlLSabcCAAWrQoEGaq9jee+89s0JZ/fr19cUXX6hdu3ZycXExGxsXF6ejR49q48aNWrZsWarz/frrr7pz546uXr2q3r17m/rbt2+vd999N837aUnhMCf74YcfTNtXtmvXztRfr149/fDDD2leV7ly5WzPzd569OihqKgoFS9eXB9//LH69OmjEiVKmG6/dOmSPvroI7OtHdevX6+NGzeqU6dO6c49f/58s0KZwWDQq6++quHDh+vRRx81+x67dOmSpkyZogkTJpiKvj///LNatGihHj16WOneAgAAAEDOVqlYJZsWygq7FFa/+v00tPFQ1ShZw2ZxAdhejiyWUXQCgOy3f/9+xcenPPQ2MTFRt2/f1unTp7V582bt3LnT7PYXX3xRI0aMyHD+5cuXa+HChaZ2lSpVtHnzZlWpUiXV8Y888ohWrlyp77//Xu+9956kpBVm77zzjn7//fcU42/duqUtW7aY2jVr1tSePXvSPEvN2dlZDRo0UIMGDTRmzBidPHkyxZgWLVpIktkqHkkqU6aM2rZtm/4dzgYxMTHatm2bxeMLFChgug+Z0bBhw1T7PTw87HK/c5Jz587J29tb27ZtS/Vrt2zZspo/f76cnZ01e/ZsU/+sWbPSLZadO3dOw4YNM7ULFCig3377Lc1rypYtq6+++kodO3ZUx44ddefOHUnS8OHD1blzZ7m5uWX1LgIAAABArtG3fl+N2T5GkbGpn4VuLTVK1NCwJsPU95G+KuxaOFtjAcgZckyxzGAwyGg0ymAwaPv27fZOJ9OMRqOefPJJ0/0AgJxu9OjRmRpfs2ZNjRo1SgMHDsxwBbDRaNT48eNN7YIFC6ZbKLvfu+++K39/f61cuVJS0iqd06dPq3r16mbjzp8/b1bs69evX5qFsrTuT0539epVs5VeGfHy8kpR6MODcXR01MqVKzP82v3222+1aNEixcTESJK2bNmixMTENFdgfvfdd4qOjja1582bl+FKNElq2bKlJkyYoKFDh0qSrl27psWLF2vgwIGW3iUAAAAAyLWKuBZRv0f6aYr/FKvPbZBBz1Z/VsObDFfbym1z7e5nALImxxTL7teqVSt7pwAAuE+NGjU0aNAg9ejRw6Ini5s3bzZbuTVy5EiLCmX3fPzxx6ZimdFo1Jo1a/T++++bjbm3suYeZ2dni+cHLNWtWzc1atQow3EeHh5q37696ayy6OhonTx5UrVr104x9ubNm2arLh977DG99NJLFuf0+uuv69NPPzWd8/fbb79RLAMAAACQbwxrMsyqxbJibsU0oMEADWk8RJU98v5xAwBSx0mEAIAMnTp1SqNGjVLFihU1b968DMf/+eefZu1XX301U/Hq1aun0qVLm9q7du1KMaZs2bJm7RUrVpjOcgKspWfPnhaPrV+/vln74sWLqY7z8fExK/Zm9vvD2dlZbdq0MbX37NmjxETbH24NAAAAAPZQo2QNta/S/oHnqetZVzOfnangt4M1of0ECmVAPkexDADyqR07dshoNKb6ERkZqbNnz2r58uV65plnTNfcvn1bAwYM0Lhx49Kd+/7ilru7e5a2PKxQoYLp/ydOnEhxu5eXl6pVq2Zq+/r6qmPHjtqzZ0+mY+VUXl5eaX6OUvtgC0brs2RV2T2enp5m7Vu3bqU6LnnxNzMx7qlYsaLp/7dv31ZISEim5wAAAACA3Gp4k+FZus7B4KAXar2gHX136L83/9OghoPk7uJu5ewA5EY5chtGAIB9ubu7q3LlyqpcubJ69OihZcuWqXfv3kpISJAkffbZZ2rcuLGeffbZVK+/v7gVFRWV5rlNlrp582aq/ePHj9crr7xiam/fvl3bt2+Xt7e3OnTooFatWql58+by8vJ6oPjIv5IXwNLj7m7+B1byrULvSV78bdKkSeYTS+bmzZtmBWYAAAAAyMs6Ve2kSsUq6Xz4eYvGlyhQQoMaDtKbjd5UxaIVM74AQL7DyjIAQIZeeuklvffee2Z9o0ePltFoTDE2KipKd+/etWr8tFbovPzyy/r8889TnKMWGBiomTNn6uWXX5a3t7e8vb01aNAgbd++PdWcgbS4ubll+dq0vtZu3LiR5TnTktb3CAAAAADY05GrRzRuxzir/y3u6OCooY2HZjju0TKPan6X+QoeFayvnvqKQhmANFEsAwBYZMSIEWbtU6dOae/evSnGhYeHWz12ek+qP/74Y+3du1dPP/20HB0dUx0TFBSk2bNn66mnnlK9evW0detWq+cIWCo7vkc4swwAAABAThGfGK9Vx1ep9YLWqjejnj7b+Zl2Bu20epzXGrymgs4FU/Q7OTjppbovafdru7Xv9X3qV7+f3Jyy/kZIAPmD3bdhTL4aIC/Ii/cJAEqXLq3KlSvr3Llzpr7du3erefPmZuMKFjR/olq8eHEtX748W3Nr2rSpNmzYoMuXL2vLli3y8fHRzp07zXK95+jRo+rQoYN++OEHvf3229maF5Ca5N8j8+fPV/ny5R9ozkceeeSBrgcAAACABxUaFarZB2Zr+r7pCr4dbHbbZL/JauXdyqrxPAp4qPfDvTXrwCxJ0kPuD+nNRm/qjYZvqEzhMlaNBSDvs2uxLC9uhZUX7xPymPr17Z1B/pbLH39PT0+zAtTFixdTjClWrJicnJwUHx8vKencprZt29okvzJlyqhv377q27evJOnSpUvavn271q5dq3Xr1ikuLk5S0s/qd955R4899piaNWtmk9yAe0qWLGnWrl27tlXOLQMAAAAAe9h3aZ+m+E3RsqPLdDch9WMZ1p5cq4u3LqpCUeuetTy86XD9d+0/DW8yXN1rd5eLo4tV5weQf9itWDZ//nx7hc42efE+IQ/66Sd7Z4Bc7F6x6Z7UziYzGAzy8vLS2bNnJSUVyy5duqSyZcvaJMf7lS1bVr1791bv3r0VFBSkF198Uf7+/pKSCmYTJ07M9lVvQHKVKlUyawcEBFAsAwAAAJCrxCbEatXxVZrsN1n/Bv+b4fgEY4Km75uur576yqp51PWsq70DUh4RAQCZZbdi2b13/eclefE+AcD9Lly4YNb29PRMdVybNm1MxTJJ2r59u3r37p2tuWXEy8tLS5YsUbVq1Ux9//zzT6pjHRzMj/TMT6uGDQaD6f7mp/ttS23atNHcuXNN7e3bt+vll1+2Y0YAAAAAYJnLEZc1c/9Mzdw/U1cir2Tq2tkHZuuTVp9wfhiAHMkh4yEAAEgHDx5UaGioWV/16tVTHduxY0ez9pQpU7Itr8yoWrWqHnroIVP7+vXrqY5zd3c3a0dHR2drXjnJ/fc9P91vW2rbtq2cnP73fqVly5bpxo0bdswIAAAAANJmNBq19+Jevfzby6r4U0V9+venmS6USdL16OtadnRZNmQIAA+OYhkAIENGo1Fjx44163NwcFCnTp1SHd+1a1dVrVrV1Pb19dX06dOzNUdLxMbG6vbt26a2h4dHquOKFCkiR0dHU/v8+fPZnltOUbx4cdP/AwMD7ZdIHvbQQw/p1VdfNbWjoqI0dOhQO2YEAAAAACnFxMdowaEFajS7kZrPa66lR5cqPjH+geac7DeZXUwA5EgUywAA6YqKitLAgQO1YcMGs/4+ffqoZMmSqV7j6Oiozz//3Kxv5MiRmj17dqZinz59WoMGDVJISEiK25YsWaKvv/5aYWFhFs83depU3blzx9Ru2LBhquOcnZ3NVs0dOnTIbFvJvKxOnTqm/1+/fl0+Pj72SyYP+/jjj1WwYEFTe/ny5XrjjTcUGxtr8Rw3b97UF198ofXr12dHigAAAADyqYu3LmrMX2NUYWIF9f+9vw5cPmC1uQ9cPqC9wZwxBiDnsduZZQAA+9q/f7/i41N/R1h0dLSuXr0qPz8//fbbbykKUuXKldPXX3+d7vwvvfSSfHx8NHPmTElSXFycBg0apGXLluntt99WmzZtUmx3GBcXp+PHj2vHjh367bfftHv3bhmNRo0ZMybF/NeuXdOYMWP0xRdfqFOnTurWrZuaN28uLy+vFGNPnz6tn3/+WdOmTTPrf/3119PMv3379jpx4oQkKSEhQS1bttSgQYNUr149FSpUSAaDwTS2Tp06KlOmTLqPR27Rvn17bdy40dR+/vnn9cYbb6hhw4YqWrSo2XlulStXVuXKlbMlj23btmXpOg8PjzSLoDlJ5cqVNXfuXPXq1cvUN2vWLPn4+Gj06NHq3Lmz2ZahUtIKz3PnzmnPnj1as2aNNm3apDt37mj+/Pm2Th8AAABAHmM0GrUzaKcm+03W2pNrlWBMyLZYU/ymqHmF5tk2PwBkBcUyAMinRo8enaXrypcvr61bt6p06dIZjp08ebLCwsK0YsUKU9/27du1fft2OTk5ycvLS8WLF1d8fLzCw8MVEhKSqZU1UlJh77ffftNvv/0mSSpWrJhKly6tYsWKKTY2VhcvXkxx1pqUVMzr2rVrmvMOGTJEM2fOVExMjCTp0qVLGj9+fKpj58+fr379+mUq75yqT58++vLLL03nuYWHh+vbb79Ndey4cePSfEweVLt27bJ0XatWrXLNariXXnpJly5d0rvvvqvExERJ/1tNOWjQIFWoUEElS5aUk5OTwsPDdeXKFUVERNg5awAAAAB5SVRslH498qum+E3RkWtHbBJz5fGV+qH9DypTOG+86RRA3kCxDABgEVdXV/Xr10/ffvutihYtatE1zs7OWr58uRo2bKjx48ebbYEYHx+vs2fPZri9YcmSJVWgQAGL8wwPD1d4eHi6Y15//fUUq8ySq169uhYtWqT+/fsrMjLS4vi5XfHixfXbb7/pxRdf1LVr1+ydTp43atQo1alTR/3799fly5fNbrt48aIuXryY7vWurq7y9PTMzhQBAAAA5EHnws5pmv80zT04V+Ex4TaNHZ8Yr6VHl2rUY6NsGhcA0kOxDACQgouLi4oWLSpPT0/Vr19fLVq0UI8ePVSiRIkszffee++pb9++mjBhglasWKELFy6kO7506dJq27atXnjhBT377LNydnZOMeaNN95Q5cqVtX79evn4+CggICDdOV1dXfX0009r1KhRevzxxy3Ku3v37mrRooUWLlyoHTt26Pjx4woLC1NUVFSePpC4ZcuWOnnypJYsWaLNmzfr6NGjun79uqKiokwroGA9HTp00Llz5zR79mzNmTNHR44cSffrq1ChQmrVqpWeffZZ9ezZUx4eHjbMFgAAAEBuZTQate3cNk32m6w/Tv8ho2z7d61BBnWq1knDmwxX+yrtbRobADJiMOblV/uAHObYsWOqW7euqX306FHVqVMny/PFx8frzJkzZn3VqlWTkxN1cORsAQEBOnTokEJDQxUWFiYnJycVLVpUFStWVK1ateTt7Z3pOUNDQ3X8+HGdO3dON2/eVHR0tAoWLCgPDw/VrFlTjzzySIoz0oCcKDQ0VL6+vrpy5Ypu3LihxMREFSlSRKVLl1atWrVUrVq1VAvIQE7F8xUAAAD7irgboV8O/6IpflN06sYpm8cv6lpUrzV4TUMaD1HV4lVtHh9A7mHt188zI8/9hZqQkKCjR49q//792r9/v4KDg3Xr1i3dunVLERER2fKOeIPBkOE2YgCA/6lataqqVrXuE+RSpUqpVatWatWqlVXnBWytVKlSevbZZ+2dBgAAAIBc7vSN05riN0ULDi1QRKztzz+uXaq2hjcZrt71equQSyGbxweAzMgzxbJTp05pzpw5WrRokUJDQ1Pcnp0L6AwGQ7bNjfSdPXtWfn5+Cg4OVmxsrGkFSfPmzeXm5mbv9AAAAAAAAACbSTQmauOZjZrsN1mbz262eXwHg4M61+is4U2Gq413G143BZBr5PpiWWRkpEaPHq3Zs2dLSr8olh0/nHPDLpYhISHy8/OTr6+v/Pz8tG/fPkVE/O/dJF5eXgoMDHygGLGxsTp06JAphp+fn86cOWP2+MyfP1/9+vV7oDj3rF27Vp9//rkOHDiQ6u2FChVSv379NG7cOJUsWdIqMQEAAAAAAICcKDwmXPMOztNU/6k6F3bO5vGLFyiu1x99XYMbDZZXMS+bxweAB5Wri2WHDx9W586dFRwcbCrK8G6FJLt379YPP/wgX19fXbp0KdvijB49Wjt37tThw4cVGxubbXHuuXv3rgYMGKBff/013XGRkZGaMmWKli9frlWrVqlly5bZnhsAAAAAAABgS0evHdUUvyla9N8iRcdF2zx+/dL1NbzJcPWq20sFnAvYPD4AWEuuLZadPHlS7du3N225eH+RzFarvXJyYc7f319r1qzJ9jhz5szRrVu3sj2OJCUmJqpnz576/fffzfodHR1VsWJFFS1aVOfPnzfLJzQ0VJ06ddK2bdv02GOP2SRPAAAAAAAAILuN3DhSP/v9bPO4jgZHdavdTcObDFeLCi1y9GukAGApB3snkBUxMTF6+umnFRoaKoPBIIPBIKPRaPpA+goVyv4DNZ2cnOTq6mrVOb///vsUhbI333xTFy5c0Llz53Tw4EHdvHlTq1evVsWKFU1joqOj1aNHD5sV9QAAAAAAAIDs1rhcY5vG83T31NiWYxX0VpCWd1+uxys+TqEMQJ6RK4tlP/74owIDA00/jCmQpa1w4cJq3bq13n33Xa1cuVKBgYFav369VWMYDAZVq1ZNr7zyin766Sft3r1bERERatasmdVi3LhxQ19++aVZ39dff63p06erbNmypj4HBwc9//zz2rNnj7y9vU39wcHB+vHHH62WDwAAAAAAAGBPL9Z+UZ7untkep0m5Jlr0/CJdeOuCPmvzmcoVKZftMQHA1nLdNoyRkZH65ptvKJRl4LnnnlP79u1Vs2ZNOTiY10TPnz9vtTjr1q1TvXr1VKxYMavNmZrvvvtOERERpnbLli31/vvvpzm+XLlymjNnjtq2bWvqmzhxokaMGKESJUpka64AAAAAAABAdnN1ctUbDd/Q5zs/t/rczg7O6lm3p4Y3Ga4m5ZpYfX4AyGly3cqyv/76S5GRkZIolKWnSpUqql27dopCmbW1bNky2wtliYmJmj9/vlnf+PHjM1zm/dRTT+mJJ54wtSMiIrRixYpsyREAAAAAAACwtTcaviEnB+uthyhbuKw+a/2ZLr59UYueX0ShDEC+keuKZRs3bsz0NffONbP2B2xjz549Cg0NNbUrV66s1q1bW3TtgAEDzNpr1661YmYAAAAAAACA/ZQrUk4v1Hrhged5vOLjWt59uQJHBmpsq7F6qNBDVsgOAHKPXLcN48GDBy0al7yYxSq03GvDhg1m7Xbt2llcrGzXrp1Z28fHR1FRUXJ3d7dafgAAAAAAAIC9DG8yXCuOZX43JTcnN71c92UNazJMDco0yIbMACD3yHXFsmvXrmVYKDEYDGbFsRIlSqhcuXJyd3eXi4tLdqcIKzt06JBZu3nz5hZfW7ZsWXl7eyswMFCSFBsbq+PHj6tx48ZWzBAAAAAAAACwjxYVWqh+6fo6dOWQReMrFq2oIY2GaOCjA1WiYInsTQ4AcolcVyy7fzu+5O4VyYxGoxo2bKi33npLHTp0UMmSJW2YIaztxIkTZu3atWtn6vratWubimX35qNYBgAAAAAAAFsxGo3658I/WnJkiaY8PUWODo5Wm9tgMGh4k+EasG5AuuPaeLfRiKYj9Fz156waHwDyglxXLEtMTEy1/16hzGAwaODAgZo+fbocHHLdkWxI5s6dO7pw4YJZX4UKFTI1R/Lxp06deuC8AAAAAAAAgIzcibujJUeWaLLfZB2+eliS1KFqB3Wt2dWqcXrV7aV3t76rm3dumvUXdC6oPvX6aFiTYarjWceqMQEgL8l1xbLixYvr8uXLZn33b8tYrlw5TZkyhUJZHnH9+nWzLTWdnZ3l6emZqTnKlStn1r527ZpVcrt27Vq6Kx1TExAQYJXYAAAAAAAAyLkCwwM13X+65hyck6KANdlvstWLZQWcC2hgg4H6bs93kqQqHlU0tPFQ9W/QX8Xcilk1FgDkRbmuWFarVi1dunQpxbll91aVPf3003J2drZTdrC2yMhIs3bBggUzPLMuOXd393TnzKpp06bp008/tcpcAAAAAAAAyN2MRqO2n9+uyX6Ttf70eiUaU98ha/v57Tp27ZjVV3oNaTxE/137T8MaD1Onap3kYGAxAQBYKtf9xGzWrFm6t5cuXdpGmcAWkhe23NzcMj1HgQIF0p0TAAAAAAAAyKrI2EhN95+uutPrqu2itvr91O9pFsrumeo/1ep5eBXz0sZXNuqZ6s9QKAOATMp1PzVffPHFdG+31hZ7yBliYmLM2i4uLpmew9XV1ax9586dB8oJAAAAAAAACLgZoLc3va3yP5bXkD+H6HjocYuvXXh4oW7F3MrG7AAAmZHrtmGsV6+emjVrJl9fXxkMBrPzrIxGo/z8/OyYHawt+Uqy2NjYTM9x9+7ddOfMqiFDhmRYvE0uICBAXbt2tUp8AAAAAAAA2FaiMVGbAzZrst9kbQzYmOV5ouKiNP/QfL3V7C3rJQcAyLJcVyyTpC+//FJPPfWU6eyqe+eVGY1GHTx4UL6+vmratKmds4Q1FCpUyKydfKWZJZKvJEs+Z1Z5enrK09PTKnMBAAAAAAAg57oVc0sLDi3QVP+pOnPzjFXmnOo/VSOajmDLRADIAXLlT+I2bdpowIABpiLZPfcKZq+++qrCwsLsmCGsJXlhKzo62mw1oSWioqLSnRMAAAAAAABIzYnQExq6YajK/VhOb21+y2qFMilpG8dNAZusNh8AIOtyZbFMkiZNmqSGDRuarSqTkgpmAQEBaty4sfz9/e2cJR5UyZIlzQqicXFxmT6XLiQkxKzNajAAAAAAAACkJSExQb+f/F1tF7ZV7Wm1NW3fNEXFRWV8YRZM9pucLfMCADIn1xbLChYsqD///FO1a9c2K5jd+/+5c+fUrFkzde3aVWvWrEmxugi5Q4ECBVSxYkWzvgsXLmRqjuTja9as+cB5AQAAAAAAIG+5eeemvt/9vapOrqquy7vqr/N/ZXvMTQGbdPrG6WyPAwBIX648s+yeUqVKaffu3eratav+/vvvFCvMjEaj1q9fr/Xr18vZ2VnVqlVTjRo1VKZMGbm7u6tAgQJmq5YexCeffGKVeZBSzZo1FRQUZGofP35cjRs3tvj6EydOpJgPAAAAAAAAkKT/rv6nyb6T9euRX3Un/o7N4685sUbvP/6+zeMCAP4nVxfLJKlo0aL666+/9MUXX2j8+PGmIpnBYDArnsXGxurYsWM6fvx4tuRBsSz71K9fX5s3bza19+zZo759+1p07eXLlxUYGGhqOzs7q3bt2tZOEQAAAAAAALlIXEKc1p5cq8l+k7Xrwi6bx3dycNKLtV/U8CbD1ax8M5vHBwCYy/XFMknauXOn1q1bZ9Z3/wqz+/vu9VuTtVanIXXPPvusvv32W1N727ZtpoJoRrZs2WLWbtOmjQoVKmT1HAEAAAAAAJDzXYu6ptn7Z2v6vukKiQjJ+AIrK12otN5o+IbeaPiGyhQuY/P4AIDU5epimdFo1LvvvquffvrJ7Nyy5GMkmVaaZUcOyF7NmzdXyZIldf36dUnSuXPn5OPjozZt2mR47dy5c83aXbp0yZYcAQAAAAAAkHPtu7RPk/0ma9nRZYpNiLV5/Gblm2l4k+HqXru7XBxdbB4fAJC+XFssS0hIUO/evbVixQqLClasKMu9HBwc1K9fP02YMMHU9+mnn6p169bpfg7++usv7dr1v2X0hQsXVo8ePbI1VwAAAAAAAOQMsQmxWnlspSb7TZZviK/N47s4uqhX3V4a1mSYGpVtZPP4AADLOdg7gaz64IMPtHz5crPzyZB3vf/++2bbJ/79999mWzMmFxISooEDB5r1jRw5UiVLlsy2HAEAAAAAAGB/lyIuadyOcao4saJ6r+lt80JZ+SLl9eWTXyr47WAt6LqAQhkA5AK5cmXZ33//rR9++CHFeWQwt3v3bt25cydF/+HDh83aMTEx2rZtW6pzlC1bVrVr104zxuXLl3Xs2LFUbwsLCzNrHz9+PM04jz/+uNzc3NKMU7JkSY0ZM0Zjxowx9X344Ye6cOGCPv74Y5UtW1aSlJiYqHXr1mnkyJG6cOGC2f1455130pwfADLr1q1bmjVrljZt2qTjx4/r5s2bio3931Ye8+fPV79+/SRJ48eP16effmq6bceOHWrdunW25HX/78ZWrVrJx8cnW+IAyJu8vb0VFBQkSfLy8lJgYKB9EwIAALCQ0WjU7ou7NdV/qlYdX6X4xHib59DSq6WGNxmurjW7yskhV77sCgD5Vq78qf3ee++Z/k+RLG2vvPKK6cWO9Fy9elXt2rVL9ba+fftqwYIFaV67efNm9e/f36J8vv/+e33//fep3nb+/Hl5e3une/3777+vPXv26I8//jD1TZ8+XbNmzZKXl5eKFi2q8+fPKzw83Oy6AgUKaMWKFSpWrJhFeQL52fnz53X06FFdvHhRt2/fVmJiojw8POTh4aFatWqpbt26cnR0tHeadufj46Nu3brp5s2b9k4FAAAAACBp9JbR+vHfH20et4BTAfWu11vDmgxTvYfq2Tw+AMA6cl2xbN++ffL395fBYKBQls84ODho5cqV6t+/v5YtW2bqT0hI0Llz51K9pkSJElq1apVatGhhqzSBXOfIkSOaNWuW1qxZo5CQkHTHFixYUC1atFDv3r3VrVs3ubu72yjLnCMgIEDPPvusoqKi7J0KIEnq16+ffvnlF1N73LhxGj9+vP0SAgAAAOzg2erP2rRY5l3MW0MbD9VrDV5T8QLFbRYXAJA9ct2ZZStWrLB3CrAjNzc3LV26VKtWrVL9+vXTHOfu7q4hQ4bo+PHj2bbVGZDbXbhwQd26dVO9evU0ZcqUDAtlkhQdHa2tW7eqb9++Klu2rL7++mvFxMTYINucY8yYMWaFsnuP34YNG7R161bTR4cOHeyYJWB/gYGBpnNlDQaDaVtSAAAAIDu09m6tWiVrZXuctpXb6veXflfA8ACNbj6aQhkA5BG5bmWZn5+fxWPvP7clP7LFGRP9+vWzy4tf3bp1U7du3RQQECBfX1+FhIQoNjZWxYoVU61atdSiRYt0z0AD8rs//vhDvXv31q1bt1K93cPDQ6VKlVLRokV1/fp1Xb16VdHR0WZjbt++rTFjxmj16tXy9/e3Rdp2d/v2bf3++++mdo0aNeTr68vPGwAAAACwM4PBoCGNh2j4xuFWn7uQSyH1faSvhjYeqlqlsr8gBwCwvVxXLDt9+nSGRbD7b2erxrytatWqqlq1qr3TAHKVX3/9VX379lVCQoJZf8OGDTVgwAA9/fTT8vLySnHdqVOn9Pvvv2vFihXav3+/qT80NDTbc84p9u/fr9jYWFO7T58+FhXKxo8fz7Z4AAAAAJDN+jzSRx9s+0BRcdbZNr9a8Woa1mSY+j7SV0XdilplTgBAzpTrimVhYWHp3n7/WWY1atRQs2bNVLVqVZUpU0YeHh4qWLCgnJ2d5ejoaIt0ASBH2bdvn1577TWzQlnRokU1ZcoUvfLKK+m+GaFGjRp677339N5772nNmjX68MMPderUKVuknWOcPn3arF2nTh07ZQIAAAAASK6IaxG9Wu9Vzdg/I8tzGGRQp2qdNLzJcLWv0l4Ohlx3ig0AIAtyXbEsrRdy7y+SValSRYsXL1bTpk1tmRoA5Gi3b99Wz549zVZGeXp6avPmzemeAZia559/Xs8884yGDBmibdu2WTnTnCs8PNysXaRIEfskAgAAAABI1ZDGQ7JULCvqWlSvNXhNQxoPUdXi7GIEAPlNriuWFS9eXJcvXzbru7+A5urqqk2bNqlKlSq2Tg0AcrTx48fr3LlzpraDg4PWrl2b6ULZPS4uLpozZ45Wr15tpQxzvpiYGLN2fj8bEwAAAAAehNFotPrfVQ8/9LCeqPiEdl3YZdH42qVqa3iT4epdr7cKuRSyai4AgNwj1xXLatWqpUuXLqX4RXrvl2uHDh0olAFAMuHh4Zo9e7ZZ31tvvaXHHnvsged+4YUXMjU+Ojpa//zzjy5evKjQ0FC5ubnJ09NTderU0SOPPPLA+SR369Yt7dy5UwEBAbpz545KlCihqlWr6vHHH5erq2um5rLnOZj79u3TsWPHdPnyZTk5OcnLy0vNmzdXuXLlrB4rOjpau3fvVkhIiK5duyZHR0d5enqqdu3aevTRR63+x+ypU6fk6+urS5cumWI1adJEtWpZ5+Ds2NhY+fr6KigoSKGhoYqOjlbhwoXl5eWlunXrPtDzhvDwcO3Zs0eXL182fT2XKlVKDRo0UO3ata2Sv63duXNHO3fu1MmTJxUZGSkPDw95e3urVatWcnd3t3d6kmz/uB89elQnTpzQ5cuXFRkZqYceekh9+vSRs7Oz1WNZKi4uTqdOndLx48d15coVRUREyN3dXcWLF1fNmjX16KOPyskp1z3VBwAA+cTliMuafWC2lh5dKt+Bviriat1dO4Y2HppusczB4KDONTpreJPhauPdhjdCAgAkYy4zbtw4o8FgMDo4OBgNBoPZ/x0cHIwffvihvVME0nT06FGjJNPH0aNHH2i+uLg44/Hjx80+4uLirJQt8pJvvvnG7GvPxcXFGBoaatMcDh06ZOzSpYvRzc3NLJf7P8qVK2ccO3asMSIiwuJ5W7VqZTbHPZcuXTL279/f6OLikmosd3d340cffWSMjIxMc+7z58+nmWt6H/PnzzebZ9y4cWa379ixw+L7N2/ePGOVKlVSjWMwGIzt27c3Hj582DT+/ttbtWplcRyj0Wj8559/jJ06dTK6urqmed88PT2NY8eONd6+fduiOZM/hn379jXdtnnzZmOjRo3SjFWrVi3junXrMnUf7rdnzx7jc889ZyxYsGC6ny9vb2/j6NGjjQEBARbPvW7dOmPLli2NTk5Oac5bsWJF448//miMiYnJ8n2wRN++fc3ijhs3LlPjz58/bzQajcbw8HDj22+/bXR3d0/1/ri4uBgHDx6c4c8OLy8vq3zfpCY7HvcdO3ak+vjFxcUZf/75Z2OdOnVSjRMWFmb8/vvvzfo+/vhji2Im169fP7N5Vq5cmeq40NBQ49SpU42dOnUyFipUKN3H093d3ThgwADjmTNnMpXL/Z8/Ly+vLN2f5Hi+AgAAjEajMTEx0ehz3sfYY2UPo9NnTkaNl1HjZZzqN9Xqse7G3zWWnlDaFOPeR/Fvixvf3/q+MTAs0OoxAQAPztqvn2dGrnu7affu3fXZZ5+leXtCQoINswHyjgWHFmjBoQX2TiPT6peur586/mS1+Q5dOaS3Nr31wPP0q99P/er3e+B5rCX5VonPP/+8SpYsaZPYRqNRH3zwgSZMmKDExMR0x4aEhOjzzz/X7NmztXLlSj3++ONZirlr1y517dpVN2/eTHNMVFSUvvzyS23ZskWbNm1S8eLFsxQru8TExOjFF1/UH3/8keYYo9GoLVu2yMfHRwsWLFCvXr2yFCsqKkr9+/fXypUrMxx77do10+do3bp1aty4cZZivvfee/r+++/THXPixAl17txZn332mcaOHWvx3BEREerfv79+++03i8YHBgZqwoQJ8vf3l4+PT7pjr127pp49e2Y4TpIuXLigUaNGacaMGfrzzz9z9Mr348eP6+mnn1ZQUFCaY2JjYzV9+nRt2bJF27Ztk7e3t83ys/XjHhYWps6dO+uff/5Jd9wrr7yiDz74wPT8c/Hixfrss88y9c7kqKgorVq1ytT28PDQc889l2pOZcqUUXx8vMXzzp07V4sXL9aMGTPUr18/i3MCAACwpoi7EVr03yJN85+mY6HHUtw+1X+qBjcabNXVXS6OLnr90df1+c7PJSW9djC8yXD1qttLBZwLWC0OACDvyHXFsrp166pNmzbasWOHDAZDii2x7j+PB4DlAsMD9XfQ3/ZOw+7CY8Kt8ji09m794MlYSVRUlA4cOGDW16VLF5vENhqN6tevnxYuXJjitpIlS6pixYq6c+eOzp8/b3Ye2JUrV9S+fXutWbNGHTp0yFTM/fv3q1OnToqKipKUdDZbpUqVVKJECYWFhSkgIMDsd4e/v7/69eundevWZfFeWl98fLy6deumP//8M8Vt5cuXV+nSpRUWFqbz588rMTFRsbGx6tOnj8qUKZPpWNeuXdPTTz+t/fv3pxrroYceUkJCgoKCghQWFma67cqVK2rdurU2b96c6aLmBx98YFYoK1y4sCpWrKgCBQqYtkq83yeffKI6depYtOVncHCwOnbsqGPHUv4RXrhwYZUrV05FihTRrVu3FBQUlOIcuvScOXNGHTp00Pnz5836DQaDvLy8VLJkSd29e1fnz59XZGSk6fbTp0/rscce0z///KPq1atbHM9WAgMD1atXL125csXU5+XlJU9PT0VGRur06dNmb0Y6e/asXnjhBfn5+dlkmz9bP+7x8fEpCmUeHh6qUKGCJCkoKEi3bt2SJJUpU0bt27fXxo0bJSU9ljt37lSrVq0sjrd69WqzvF966aVUt4hNSEhIUShzdHRUxYoVVbRoUbm6uurWrVs6f/687t69axpz9+5d9e/fXw4ODurTp4/FeQEAADyoY9eOaZr/NC38b6EiYyPTHHc89Lh2Bu1UK2/Ln0NZ4o2Gb+hs2FkNaTREzSs0Z6tFAEC6HOydQFZ8/fXXcnBISv3eL7p7hbNNmzaZXiAFAEj//vtvihdYGzVqZJPYU6ZMSVEoe+KJJ7R7925du3ZN+/fv1/HjxxUaGqrZs2ebre66c+eOXn75ZV26dClTMXv06KGoqCgVL15cP/74o65du6aAgAD5+vrq9OnTCg4OTrHCYv369aYXu+9XunRpbd261fTx6quvmt0+YcIEs9vvfWS2wJfchAkTUhTKXnrpJZ04cUIXL16Uv7+/AgICFBISojFjxsjJyUnx8fHq379/puIkJibqpZdeMiuUlSpVSt9//70uX76sixcvat++fTp48KCuX7+uf/75R08++aRpbHR0tHr16qUbN25YHHPnzp369ttvJUlNmzbVli1bdPPmTR09elT+/v66evWqduzYoZo1a5pdN2LEiAxX1MTGxqpbt24pCmVdu3bVrl27FBYWphMnTsjX11cnT55URESE/P399dFHH6lixYrpzh0dHa0uXbqYFWwqVaqkmTNn6saNGzp//rz8/f3133//KSwsTBs3btSjjz5qGhsaGqqePXuaFTFyigEDBujKlSsqUKCAPvnkE4WEhCgwMFB+fn6m78/333/f7MWFgwcPpjgH8Z5ff/1VW7du1eLFi83627dvn+r3S3rfN/Z43OfMmWMqlLVt21a7d+/W9evXdfjwYR0+fFhhYWHaunWrChRIekdy3759za5P7c0B6Uk+Pvl8yTVq1EhfffWV9u/fr6ioKJ07d04HDx7Uv//+qxMnTigyMlLbtm1L8XgOHTpUFy9ezFRuAAAAmRWXEKeVx1aq9YLWqju9rqbtm5Zuoeyeqf5TrZ5LuSLl9OsLv6pFxRYUygAAGcp1K8skqUmTJho1apQmTJhgKpLd+6UXHR2tDz/8UD///LOdswSAnOHkyZNm7UKFCqlq1arZHjc4OFjvv/++WV/fvn01f/78FH+oFCpUSAMHDlTbtm31+OOPKyQkRJJ08+ZNDRkyRGvXrrU47rlz5+Tt7a1t27aluv1a2bJlNX/+fDk7O5u92D9r1ix16tTJbKybm5vatm1raiffkq1hw4Zq3bq1xblZIigoSJ9++qlZ3xdffKGPPvooxdjSpUvryy+/1OOPP64uXbooMDAwU7G+//577dixw9Ru2rSp1q1bJ09PzxRjHRwc1KJFC23dulUjR47UlClTJCV9nj/77DNNmjTJopj3ih79+vXTnDlz5OjoaHa7wWBQ69attXPnTtWvX99ULA0JCdGGDRvSXRU5btw4+fn5mdouLi7pbk/p5OSkRo0aqVGjRho3bpz+/fffNOd+5513dOLECVP7ueee05IlS1SoUKFU5+3YsaPatGmjXr16ac2aNZKkQ4cOadq0aXr77bfTjGMP586dU/HixbVp06ZUt9X08PDQN998o8KFC+vjjz829c+aNUuDBw9OMb5FixaSlOLrsUyZMmbfT5awx+N+9epVSdJbb72liRMnprjdYDCY3Y8uXbqoaNGiptVmK1eu1JQpU0zFtPQEBwdr+/btpnaNGjXUtGnTVMe6u7tr7969atasWbpzOjk56amnntJTTz2lzz//XJ988okkKTIyUlOmTDEVqwEAAKwp5HaIZh+YrVn7Z+ly5OVMX7/m5BpdiriksoXLZkN2AABkLFeuLJOkb775Ru3btzcVyu7/d+rUqfr666/tnSIA5AjJz+0qVaqUTd5VN23aNN25c8fUfuSRRzRnzpx0Y3t7e2vlypVmY9atW6czZ85YHNfR0VErV67M8Jyib7/9Vm5ubqb2li1bMjxTzRZmzJhhtjXgs88+m2qh7H6dOnXSuHHjMhUnOjpa3333naldpkwZ/fnnn6kWyu7n4OCgn376yewF+3nz5ik8PNzi2I0aNdKsWbNSFMruV6pUqRTnlKW2+u+emzdvavLkyWZ9U6ZMsfgcN2dnZz3xxBOp3nbx4kXNmTPH1K5Xr55WrlyZasHmfq6urlq8eLHZ2V6TJk3Kkeerzp07N8Pz595//32VL1/e1D506JCpsJQd7Pm4N2/eXD/++KNFY93c3NSzZ09TOyIiwlSoy8jixYvNfu6kt6qsQIECGRbKkhs7dqzZ1/WCBQsydT0AAEB6jEajfAJ99OLKF+X1k5c+/fvTLBXKJCk+MV6z96e+cwEAALaQa4tlDg4OWrt2rdq1a5dqwezjjz9Whw4dzN5hDgD5UfJiWbFixbI9ptFo1Ny5c836JkyYYNH5Ro899pjZC89Go9HsBfOMdOvWzaJtJj08PNS+fXtTOzo6OsUqPFszGo0pXsy2dBXI6NGjVbp0aYtjLVy40OxrY/z48WbbYKbH0dFRH374oakdGRmpzZs3Wxz7s88+k7Ozc4bjevToYdZOfvbe/ebMmWO2DfMTTzyh119/3eKc0jN16lSzLSC///77VM+USk3BggXNVjQFBQVp3759VsnLWpo0aaKuXbtmOM7JySnFuXGpnXVnLfZ83D/77LNMvakgq1sx3j/OwcEhxVav1vDKK6+Y/n9vW1oAAIAHcfvubU31m6q60+uqzS9ttOr4KiUYH/wNYbMOzFJcQpwVMgQAIPNybbFMSnon759//qnhw4enWjDbtm2bHnvsMdWtW1cffPCBVq5cqSNHjuj69etm79oHgLwsIiLCrO3u7p7tMU+ePKlr166Z2hUrVtRTTz1l8fWvvfaaWXvnzp0WX3t/oS0j9evXN2vb+zyfkydP6sqVK6Z2w4YNVbt2bYuudXV11UsvvWRxrPvPRHNycsrUtZL01FNPmc4PlaRdu3ZZdF3RokUtPtOtePHiZmeJpff52bJli1l7xIgRFsWwxP2PVenSpTO9leD9RVnJ8sfKVnLq94y9HveHHnrI7Gw+SzRv3lzVqlUztbdt26bLl9N/V7W/v7/ZFpNPPvmk2co9a6lUqZJZ++DBg1aPAQAA8oej145qyIYhKvdjOQ3bOEzHQ49bdf5LEZf0+6nfrTonAACWypVnlqW1bZPRaDT9e69gJknHjx83ezHC2gwGg9k7nwEgJylcuLBZ+/7VN9nF19fXrN2mTZtMrdJo2bKlnJycTD9bDx48qNjYWLm4uGR4rSWryu5JvuXgvTOH7CX5aujMnofWunVr/fTTTxmOMxqN2r17t6ldvXp1FSlSJFOx3N3dVaJECYWGhkqSxb9nH330UbMiW0Y8PT114cIFSWl/fuLj483OG3NwcFDHjh0tjpGesLAwHT161NTObP6SzAp+kuWPla3kxO8Zez7ujRo1ytJWtX379jWd6ZaQkKDFixfr3XffTXP8L7/8kuJ6S8XFxWnTpk3asmWLDh8+rHPnzun27duKjIw0Pf9Ny/Xr1y2OAwAAEJsQqzUn1mjavmnaGWT5mxizaqr/VHWv3T3b4wAAkFyuLJZl9CLAvTH3XugwGo0WXQMAeVHyrfVsURAKCgoya9erVy9T17u6uqpmzZqmF8vv3r2rq1evqkKFChlem9GZW/dLvsru/jPW7OH8+fNm7bp162bq+ocfftiicVevXjXbgvH48eMPfI5d8u0+05KZz49k/jlK6/Nz5coVsyJwjRo1MjzXylKnTp0yew7x559/2uyxspWc+D1jz8c9+UosS7366qsaO3asKe+FCxemWSyLjY3VsmXLTO3ChQun2OIyNUajUfPmzdOYMWPMVu9mRmbOFwQAAPlX8O1gzdo/S7MPzNaVyCsZX2AlPoE+Oh56XLVLWbbDBgAA1pJrt2E0GAxmH6m5VyRLPtaaHwCQ0yUvlt1bCZSdwsLCzNolS5bM9BzJr0k+Z1rc3NwyHesee7+xIvmL2CVKlMjU9ZaOv3HjRqbmtYSlRdgH+fykJXkRJLMFufTY87GylZz4PWPPxz2zqyzvqVixotq0aWNqHz16NM1z9jZs2GB2H7t3766CBQumO39iYqL69OmjgQMHZrlQJiW9+QAAACA1RqNR289vV7cV3eT9k7c+3/m5TQtlklTMrZhOXrfvWdIAYHf83WYXuXJl2T2WvkCTXS/kUCwDkBvUrFnTrB0REaGAgABVrVo122JGRkaatbNyTlrya5KfvZYXJX/cMnrxPDlLH+fsWFmSmJho9Tktlfxrw1qryqS891jlFvZ83J2dnbMco2/fvtq+fbupvXDhQj366KMpxi1cuDDFdRn5/PPPtXjxYrO+IkWKqHXr1mrYsKEqVKigYsWKyc3Nzew+HD58WKNHj87sXQEAAPnIrZhbWnh4oabtm2a3QlWD0g00tPFQ9Xq4lwo6Z+7vIADIExITJR8fadYsaedO6dw5KRvecIy05epiGQAgY82aNTM7/0uS9u3bl63FsuTFiqyck5b8muRnr+VFyYtd0dHRmbre0sc5eRGudu3amjRpUqZiJVegQIEHuv5BJP/aSF50fBDJH6s2bdpozJgxDzSnh4fHA12fH+TWx71bt24aOnSo6Wtw6dKlmjBhgpyc/veU+8aNG9qwYYOp7e3trZYtW6Y779WrV/Xtt9+a9X344YcaM2ZMhsXhhISEzN4NAACQTxy5ekRT/adq8X+LFRWX/WdbJ+fi6KIedXpoaOOhalquKW9KB5A/Xb0qLVggzZ4tnT37v/41a6ReveyWVn5EsQyAJMm7mLdaebWydxqZVr90favOV8ytmFUeB+9i3g+ejJW4u7vr0UcflZ+fn6lv3bp1eumll7ItZvIXpbOypdr169fTnTMvKlasmFk7+WOQEUsf5+RbXBqNRrVt2zZTsXKS5FuNPsgWdcklf6zc3Nxy9WOVW+TWx93d3V3dunXTL7/8Iinpa3Hjxo167rnnTGOWLl2quLg4U7tPnz4ZvjD0+++/m50PN2jQIH311VcW5ZTTzsgDAAD2FZsQq9UnVmuq/1T9c+Efu+TgVdRLgxsN1msNXlMp91J2yQEA7CoxUdq6NalA9vvv0n1vcDeZNYtimY1RLAMgSepXv5/61e9n7zTsrn7p+vLp52PvNKzu+eefNyuWrV69Wjdu3Mj0mViW8vLyMmsfPnw4U9ffvXtXp06dMrVdXV310EMPWSW3nKxy5cpm7aNHj2bq+v/++8+icaVLl1aBAgVML74HBQUpLi7ugbafs6fSpUurUKFCptU8p06dUmRkpFW2Y6xUqZJZOyAg4IHnRMZy8+Pet29fU7FMStpy8f5i2f23SUnFsoz8+++/Zu0hQ4ZYnM+xY8csHgsAAPKui7cuatb+WZp9YLauRl21Sw4dq3bU0MZD1alqJzk6ONolBwCwq0uXpHnzpLlzpcDA9Mf6+EinT0vVq9siM0hysHcCAIDs98Ybb5gVDu7evZtiSy9ratasmVnbx8cnU+dH7tq1y2zlxaOPPioXFxer5ZdTNW7c2Kz9999/Z+p6S8c7OzurRYsWpnZ0dLR8fX0zFSsncXJy0mOPPWZqJyYmatOmTVaZu3z58mZblp45c0YXL160ytx5nYOD+dPMzPwMyM2Pe+vWrc3eMLB+/XqFhYVJkk6cOKF9+/aZbnv88cdVpUqVDOe8etX8Ba0aNWpYnM/9Z6gBAID8xWg0atu5bXph+QuqNKmSvtj1hc0LZR5uHnrnsXd0ZvgZbXxlo56t/iyFMgD5S0KCtGGD1KWLVLGiNHZsxoWye+bMydbUYI5iGQDkAx4eHhowYIBZ348//miVAsmff/6Zoq9GjRpmK8GCgoK0Y8cOi+ecN2+eWbtVq9y3RWhW1KpVy+xx279/v44fP27RtXfv3tXSpUstjtWxY0ez9uTJky2+NidKfn9+/vnnbJt7ypQpVps7L3vQM/hy6+NuMBjMVovdvXtXy5cvl5RyVVnfvn0tmjN5oTE2Ntai6w4dOqS9e/daNBYAAOQts/bPUq2ptdRuUTutOblGCUbbnmPasExDzes8T8GjgjWh/QRVLZ59Z2YDQI504YI0frzk7S09+6y0bl1S4SwzFiyQLPz7Dw8uVxfLDAaDXT8AIDcZP368vL29Te2EhAR17dpVR44cydJ8cXFxGj16tIYOHZriNoPBkKI49+677yrBgicFfn5+WrZsmdlcAwcOzFKOuY3BYFC/fv3M+t5//32Lrp0wYUKK1SfpGThwoNkZaatWrdKGDRssvj6nee2111S4cGFTe9euXZo9e7ZV5n777bfl5PS/nasnT56sAwcOWGXuvKxIkSJydPzfu4bPnz+fqetz8+OefGvFhQsXKjExUb/++qupr0CBAurRo4dF85UuXdqs/c8/GZ8vkpCQkKntGgEAQN7iH+KvUzdOZTzQilwdXdXnkT7yHegr/9f91b9BfxV0LmjTHADAruLipLVrpWeeSSqSffqpFByc9flCQ5PONINN5OpimdFotPsHAOQWxYoV0/Lly83Opbpy5YpatWqlpUuXZupn2t9//61GjRrphx9+SPO6wYMHq0CBAqb2gQMH9Oabb6Yb58KFC+revbvZmC5duli0TVle8eabb8rV1dXU/uOPP/TVV1+le82mTZv06aefZipO0aJFzQpxiYmJ6tWrl9atW5epefbv36+ePXtm6prsUKxYMY0cOdKsb9iwYWaF1/TExcVp165dqd5WuXJls+LvnTt39Oyzz2Z6xc727ds1aNCgTF2Tmzk7O6v6fXurHzp0SGfPnrX4+tz8uFetWtVsq9O9e/dqxowZCr7vj6SuXbuqSJEiFs3XvHlzs/bYsWNNZw6mJiEhQa+99hqrygAAyMeGNLbdm2a8i3nr27bfKnhUsH7p+oualGvCm8wB5C/nz0sffSR5eUnPPy/9+adkrdqBld4IjIw5ZTwk52nZsiW/dAEgC5o0aaLZs2frtddeU2JioiQpLCxML7/8siZOnKgBAwaoU6dOqlixYoprz5w5o/Xr12vVqlUWvQBbvnx5fffddxo+fLipb86cOQoICNDXX39tdq5ZVFSUli1bpg8++EDXr1839RcvXlxTp059kLuc63h7e2vs2LH6+OOPTX0fffSRjh49qk8++UQ1a9Y09V+9elWTJ0/Wt99+q/j4eHl7eyvQ0n2vJb333nvatWuXaSvNiIgIde3aVV27dtWwYcPUokULs8KdJMXExOi///7Ttm3b9Ntvv5lW+tzbZs6ePvnkE23btk3//vuvpKSt6nr16qWVK1dq1KhRatasmdlKp/j4eB0+fFhr1qzRwoULVblyZfn4+KQ698SJE+Xn56eDBw9Kki5fvqyWLVuqd+/eeuONN9SoUSOzVVCSFBkZqUOHDmnjxo367bffdOrUKbOzrPKD9u3b68SJE5KSCjgtW7bUoEGDVK9ePRUqVMjs+VydOnVUpkwZs+tz8+Pet29f7d6929R+5513Utxuqeeff16jRo1SRESEpKQ3H7Rp00aTJk1S06ZNTePi4+P1119/6aOPPtL+/fslJW3veu9zAAAA8o8GZRrosfKPaW9w9rx5xiCDOlbtqKGNh6pj1Y6cQwYg/4mNTdpacdYsaevW7Iuzdat07pxUuXL2xYCkXFosS+uFLABAxvr27auiRYuqb9++un37tqnf399f/v7+kpKKVKVKlVLRokV148YNXb58Oc3zhpK/uH2/oUOHys/PT4sWLTL1+fj46LHHHlOpUqVUoUIFxcTE6Pz58ylWSRQoUEBLlixR2bJlH+Tu5kr3ilibN2829S1dulRLly5VhQoVVLp0aYWFhen8+fOmrS2dnJw0f/58tWnTxuI4Dg4OWrJkibp27Wr63Wo0GrVmzRqtWbNGrq6u8vLykoeHh2JiYhQeHq7g4GCLttO0B2dnZ61atUodOnTQsWPHTP2rV6/W6tWrVbhwYVWoUEGFCxfWrVu3FBgYqJiYGNO4yuk88SxQoIDWrVunp59+2rR1aXx8vBYsWKAFCxbI3d1dFSpUUNGiRRUdHa2wsDCFhITk+1XoQ4YM0cyZM02P86VLlzR+/PhUx86fPz/FNqS5+XHv0aOHRowYYbrv93+tlS1bVm3btrV4rhIlSmjs2LF67733TH2+vr5q1qyZHnroIVWsWFExMTEKCgoy+7les2ZNffPNN+rSpYsV7hEAAMhthjQeYvViWfECxfVa/df0ZqM3VaV4/tkBBABMzpyR5sxJOk/s2jXbxJw7V/ryS9vEysdy9TaMAICs6dq1qw4fPpzmC6g3b97UqVOn5Ofnp7Nnz6ZaKCtRooQmTpyonTt3phnHYDDol19+0bvvvisHB/NfOaGhoTpw4ICOHz+eolBWunRpbdmyRR06dMjCvcv9nJ2dtWbNGnXq1CnFbRcvXpS/v78CAgJMRSsXFxctWrRIrVu3znSsokWLauvWrRo1alSKFTp3797V6dOn5evrq8OHDysoKCjVQlmFChUyHTe7lCtXTrt371bnzp1T3BYREaHjx4/L19dXJ0+eNCteWKJ8+fLau3evevfunWKFe1RUlE6ePClfX18dOXJEwcHBqRZsUlu1mZdVr15dixYtUqFChbI8R2593IsWLaquXbumelvv3r3NVjla4t1339Ubb7yRov/q1avy9/fXkSNHzAplDz/8sLZu3WrxVo8AACDvebH2iypZsKRV5mpctrHmd5mv4LeD9X377ymUAchf7t6Vli2TnnxSql5d+u472xXKJGnevKTz0JCtKJYBQD7l7e2ttWvX6uDBgxoyZIhKly6d4TXu7u7q1KmTli1bppCQEL311ltmZ6ClxmAw6LvvvtOBAwfUuXPnFNv63a9s2bIaO3aszpw5o8cffzzT9ykvKVCggP7880/NmTMn3RVP7dq1k7+/v1566aUsx3JyctIPP/ygU6dOadCgQfL09MzwGm9vbw0aNEhbtmzJ1NaPtlC0aFH9/vvv2rFjh9q3by8XF5d0x9eoUUMff/yxFi5cmOHc7u7uWrRokQ4dOqRevXqpWLFiGV5Ts2ZNjRw5Unv27Em3uJxXde/eXadPn9Y333yjDh06qEKFCim2YMxIbn3c09pqsU+fPlmab8aMGaYtQ9Pi6empzz//XP7+/ipfvnyW4gAAgLzB1clVAxsMzPr1jq7qV7+f/Ab6ye91P/Wr308FnAtkfCEA5BUnT0rvvCOVKyf16iXt2GGfPDw9pZAQ+8TORwzGnLBPDZBPHDt2THXr1jW1jx49qjp16mR5vvj4eJ05c8asr1q1ailWhwCWOnv2rI4ePaqLFy8qIiJCRqNRxYoVU/HixVW7dm3VqVMn06shkouOjtY///yjCxcu6Pr163J1dZWnp6fq1Kmj+vXrW+eO5EH+/v46evSorly5IicnJ1WsWFGPP/64ypUrZ/VYRqNRx44d07Fjx3T9+nWFh4fL1dVVRYsWVaVKlVS7du1ctT1mVFSUdu/ereDgYF2/fl0JCQkqUqSIKlWqpHr16j1QQSExMVEHDhzQ6dOndf36dd2+fVsFCxZUsWLFVKVKFdWuXVulSpWy4r2BxONuNBp16NAh7d+/X9evX5fRaJSnp6fq1q2rRo0aPfDPaWvj+QoAAPYTFB6kSpMqySjLX/6r7FFZgxsNVv/6/VWiYIlszA4AcqA7d6RVq5LOIvvnH/vl4e6eVKB7/XWpcWMpE284zc2s/fp5ZlAsA2yIYhkAAMhveL4CAEDGLty6oL0X96pn3Z5Wn7vz0s5af3p9umMMMujpak9raOOh6lC1gxwMbEYFIJ85ckSaPVtatEgKD7dfHo0aJRXIevWSChe2Xx52Ys9iGX+hAgAAAAAAADaWaEzUtnPbNM1/mtafXi9Hg6PaVGojT/eMt0XPjKGNh6ZZLCtRoIQGNBigNxq9ocoeaW/1DAB5UlSUtGJF0iqyf/+1Xx6FC0uvvJJUJHv0Ufvlkc9RLAMAAAAAAABsJOxOmBYcWqDp+6brzM3/rb5ONCZqzoE5GvPEGKvGa1elnaoWr6qAmwGmvqblmmpI4yHqUaeH3JzcrBoPAHK8gweTCmRLlki3b9svj2bNkgpkPXsmbbsIu6JYBgAAAAAAAGSzg5cPaqr/VC05skR34u+kOmbGvhl6r8V7cnKw3kt2DgYHDW40WB9t/0i96vbS0MZD1bBsQ6vNDwC5QkSEtHRpUpFs/3775VGsmPTqq0lFsocftl8eSIFiGQAAAAAAAJANYuJjtOr4Kk31n6p/gzPe4uvi7YvacHqDutTsYtU8Xn/0dfWr30/FCxS36rwAkKMZjdK+fUkFsqVLk7ZdtJfHH5cGDZK6d5cKFLBfHkgTxTIAAAAAAADAigLDAzVz30zNOThH16OvZ+raqf5TrV4sK+xa2KrzAUCOduuW9OuvSUWyw4ftl0eJElKfPkmryGrVsl8esEieLZbFxsbq8OHDCg4O1q1bt3Tr1i1FREQoMTExW+J98skn2TIvAAAAAAAAcr5EY6K2nN2iaf7T9MfpP2SUMUvzbD23VadvnFb1EtWtnCEA5GFGo7R3rzR7trR8uXQn9e1ubaJNm6QC2fPPS26cC5lb5Kli2bFjxzR37lzt2LFDx48fV3x8vM1iUywDAAAAAADIf27euakFhxZo+r7pCrgZYJU5p/tP18SOE60yFwDkaTdvSosWJRXJjh2zXx6lSkn9+0sDB0rVqtkvD2RZniiW7dmzR6NHj5avr68kyWjM2jt3sspgMNg0HgAAAAAAAOxr/6X9muY/TUuOLlFMfIxV555/aL6+ePILubu4W3VeAMgTjEZp166kbRZXrZLu3rVfLu3aJZ1F1rmz5OJivzzwwHJ1sSw2Nlbvvvuupk6dKqPRaFYks1UBy9aFOQAAAAAAANhHTHyMVhxboWn+0+Qb4pttcW7dvaWlR5dq4KMDsy0GAOQ6oaHSwoVJq8hOnbJfHmXKJK0iGzBAqlzZfnnAqnJtsSw+Pl4vvvii/vjjD1PBKnmBLLsLWawoAwAAAAAAyPvOh53XzP0zNffgXF2Pvm6TmFP9p2pAgwG8/gQgf0tMlHbsSCqQrV4txcXZJw+DQerUKWkV2TPPSE65trSCNOTaz+hrr72m9evXS/pf0YpVXgAAAAAAALCGRGOiNgds1rR907Th9AYZZdvXnQ5dOaS9wXvVvEJzm8YFgBzhyhVpwQJpzhzp7Fn75VG+fNIKstdekypWtF8eyHa5sli2bds2LV682OydNRTKAAAAAAAA8KBuRN/Q/EPzNX3fdJ0LO2eXHB4r/5iGNh6qhmUa2iU+ANhFYqK0dWvSWWTr1knx8fbJw9ExafXYoEFSx45JbeR5ubJY9s4775j+T5EMAAAAAAAAD2rfpX2a6j9Vy44uU0x8jM3jF3QuqFcefkWDGw1WgzINbB4fAOwmJESaPz9pFVlQkP3y8PKSBg5MOo+sXDn75QG7yHXFsn379unIkSMyGAwUygAAAAAAAJBld+LuaMWxFZrqP1X+l/ztkkP1EtU1pNEQ9a3fV8XcitklBwCwuYQEaePGpLPI/vgjaVWZPTg5SV26SK+/LrVrJzk42CcP2F2uK5Zt3LjR3ikAAAAAAAAgFzsXdk4z9s3Q3INzdfPOTZvHdzA4qHONzhraeKierPSkHAy8OAsgn7hwQZo7V5o3TwoOtl8eVaokFcj69ZMeesh+eSDHyHXFMh8fH4vG3X+eGQAAAAAAAPK3hMQEbT67WVP9p2rjmY0yyvY7Fnm6e+r1R1/XoIaDVLFoRZvHBwC7iIuTNmxIOots0ybJXjvGOTtLL7yQdBZZ69asIoOZXFcsu3z5coaFsHu3s00jAAAAAABA/nY9+rrmH5yv6fum63z4ebvk0KJCCw1tPFQv1HpBrk6udskBAGzu/Pmkc8jmzZOuXLFfHjVqJK0i69NHKlXKfnkgR8t1xbJr166ledv9RTKDwaCnnnpKHTp0UK1atVSuXDm5u7vLxcXFVqkCAAAAAADAjhISE/TIjEd0KeKSzWMXdC6o3g/31pDGQ/RI6UdsHh8A7CI2Vlq3LmkV2dat9svD1VV68cWkItkTT0jsRIcM5Lpi2e3bt1PtNxgMppVkVapU0apVq/TIIzwRAQAAAAAAyK8cHRzVq24v/bD3B5vFrFGihoY0HqK+j/RVUbeiNosLAHZ15kzSKrL586XQUPvlUadO0jaLvXtLxYvbLw/kOrmuWFakSBGFhYWZ9d2/LaObm5s2btyoqlWr2jo1AAAAAAAA5DCDGw3Wj3t/zNYzyhwNjupSs4uGNBqiJys9meERIgCQJ8TESGvWJK0i8/GxXx4FCkg9eyYVyZo1YxUZsiTXFcsqVqyomzdvpnjScW/rxQ4dOlAoAwAAAAAAgCSpSvEq6li1ozYGbLT63A+5P6RBDQdpUMNBKl+kvNXnB4Ac6cQJafZs6ZdfpJs37ZfHI48kFcheeUUqykpePJhcVyxr2LChDh06lObttWvXtl0yAAAAAAAAyPGGNB5i1WLZExWf0JDGQ/RCrRfk4uhitXkBIMe6c0dauTKpSPbPP/bLw91devnlpLPIGjViFRmsJtcVy5599lnNnTs3zdtjY2NtmA0AAAAAAAByuk5VO8m7mLcCwwOzPIe7s7terfeqBjcerHoP1bNecgCQkx05klQgW7RICg+3Xx6NGiWtInvpJalwYfvlgTwr1xXLOnXqpJIlS+rGjRsyGAwyGs33mz5z5oydMgMAAAAAAEBO5OjgqDcbvqkP/vog09fWLFlTQxsP1av1XlVRN7b5ApAPREVJy5cnFcn+/dd+eRQpkrTF4uuvSw0a2C8P5AsO9k4gs1xcXPTuu++mKJLdK5xt2bJFYWFhdsoOAAAAAAAADyouIc7qcw54dIBcHV0tGutocFS3Wt30V5+/dHzIcQ1rMoxCGYC878ABafBgqUwZacAA+xXKHntMmjdPunRJmjaNQhlsItcVyyRpxIgRqlWrliSlWF129+5djRw50l6pAQAAAAAAIAsSEhO07tQ6dVzcUc8vf97q85csWFI96/ZMd0zpQqX1SctPFPhWoFb1WKUnKz0pA+fhAMjLIiKkWbOStjls2FCaMSOpz9aKFZNGjEja9nHPHql//6TzyfKoW7ekKVOkNm2katWS6pPVqiW1p0yRbt+2d4b5T67bhlGSXF1dtXjxYj3xxBO6c+eOqWB2799ff/1VHh4emjhxohwccmU9EAAAAAAAIF8IjQrVnANzNGP/DF24dUGSZJBB58LOqbJHZavGGtJoiBYeXpiiv6VXSw1tPFTP13xezo7OVo0JADmO0Sj5+ydts7h0adK2i/byxBNJZ5F16yYVKGC/PGzk4kXpyy+lxYtTf9gDAiQfH+mDD6RXX5XGjJEqVLB5mvlSriyWSVKDBg20dOlSdevWTQkJCSkKZlOmTNHff/+t8ePHq3PnzhTNADtJNCbqRvQNe6eRqhIFS8jBwM8GAAAAALA1o9Gof4P/1VT/qVp5fKViE2LNb5dRM/bN0HftvrNq3CblmqhhmYbaf3m/CrkU0qv1XtWQxkNU17OuVeMAQI4UHi79+mtSkezwYfvlUaKE1LevNHCg9P87yOUHu3dLnTtLN29mPDYqKmmR38qV0rp1UvPm2Z9ffpdri2WS9Nxzz2nt2rXq2bOnoqOjUxTM/vvvP3Xr1k0eHh5q3769GjZsqBo1aqhMmTJyd3dXgQIFrLaUvmLFilaZB8hrbkTfkOcET3unkapro6+plHspe6cBAAAAAPlGxN0ILTmyRDP2z9ChK4fSHTv34Fx92vpTFXC23koDg8GgsS3HKvh2sF595FUVcS1itbkBIEcyGqW9e5O2WlyxQrpzx365PPmk9Prr0vPPS66WnSGZV+zeLbVtK8XEZO66Gzekp56Stm2TWrTIntyQJFcXyyTp6aef1u7du/Xyyy/r+PHjKQpmRqNRN2/e1PLly7V8+fJsycFgMCg+Pj5b5gYAAA/u9ddf15w5cyRJ3bt318qVKzN1/eXLl3Xs2DGLx3t4eKhhw4aZipEV1sxr2bJl6tWrlySpfPnyOnXqlAoWLGiVPAEAAA5fOawZ+2Zo8ZHFioyNtOiam3duasWxFepbv69Vc+lSs4tV5wOAHOnmTWnRoqQi2fHj9svD0zPp/LGBA6WqVe2Xhx1dvJi0oiyzhbJ7YmKkLl2kgwfZkjE75fpimSTVrl1bffr00QcffGDqu1cwu78NAADyn3379mnevHmSJCcnJ3355ZeZnmPz5s3q37+/xeNbtWolHx+fTMfJLGvm1bNnT3377bc6dOiQgoOD9c033+izzz6zUqYAACA/uhN3RyuOrdCM/TP0b/C/WZpjqv9UqxfLACDPMhqlnTuTtllctUq6e9c+eRgMUrt2SWeRPfec5OJinzxyiK++smzrxfTcuJE0z/Tp1skJKeX6w3oOHDigunXr6sMPPzStJrvn3soyKWn1V3Z8AEBesWnTphQ/49q0aWPvtIAH9tZbbykxMVGS1KdPH1WvXt3OGeVMBoNBn3/+uan9/fff6+LFi3bMCAAA5Fanrp/SqM2jVO7Hcur3e78sF8okyf+Sv/xD/K2YHQDkQaGh0oQJSed/tW6ddC6ZPQplZcpIH30knT0rbd4sdeuW7wtlt28nLfCzhsWLk+ZD9sjVxbI1a9aoefPmOnPmjFlhLLl7t1n7AwDykgULFqTo+/vvvxUUFGT7ZAAr+fPPP7V7925JScWg9957z84Z5WzPPPOM6tZNOtw+JiYmS6vwAABA/hSbEKsVx1boyV+eVM2pNTXx34kKiwmzytzT9k2zyjwAkKckJkp//SX17CmVKye9+6506pTt83BwkJ55Rlq7VrpwQfriC6lSJdvnkUMtXChFRVlnrshI6xXekFKuLZZt27ZNPXv2VGxsrCSxygsAHsCtW7f0+++/p+g3Go365Zdf7JARYB2ffPKJ6f+dO3dWjRo1sjRPv379MvWGGltswZgdeRkMBo0ePdrUnjdvngIDA7P3TgAAgFztfNh5jflrjCpMrKCeq3pqR+AOq8dYdnSZbkTfsPq8AJArXbkiffONVK2a1LattGKFFBdn+zzKl5fGj5cCA6U//kg6VMspT5z6ZFW//Wbd+Vatsu58+J9cWSy7du2aXnnlFcXHx5uKZKz0AoCsW7ZsmWLSOGV04cKFNs4GsI5t27Zp//79pvbgwYPtmE3u0bNnT3l4eEiS4uLi9NNPP9k3IQAAkOPEJ8Zr3al1evrXp1Xl5yr6+p+vdS3qWrbFi4mP0fxD87NtfgDI8RISpE2bkrY1rFBB+vBD6dw52+fh6JhUFNuwIalINm5cUj5IU3CwdecLCbHufPifXFksGzdunEJDQymUAYCV3L8Fo8FgUIsWLUzts2fPateuXXbICngwkyZNMv3fy8tL7dq1s2M2uYebm5teeeUVU3v+/PmKiIiwY0YAACCnCLkdos/+/kyVJlVSl2VdtDFgo4yyzWsy0/dNV6Ix0SaxkHvduiVNmSK1aZO06KZMmaR/27RJ6uesH+Q6ISHS559LVapInTpJq1dL8fG2z8PbO2l7xQsXkrZbfPrppMIZMhQZad35+PM8++S6YlloaKjmzp1LoQwArOT06dP699//HbjdokULffDBB2Zj2IoRuU1QUJD+/PNPU/uVV16Rg0Oue9pjN3369DH9//bt2/r111/tmA0AALCnRGOitpzdoheWvyCvn7w0zmecgm9b+W3yFvAq6qXr0ddtHhe5w8WL0ptvJh3bNHy45OMjBQQk7VYXEJDUHj5cKltWGjw4aTyQY8XHJ21r2LmzVLGi9Mknkj3Ok3dykrp3lzZvls6elT76KOmbCJlSqJB15ytc2Lrz4X9y3atGy5YtU/z/V88plAHAg7t/VZkk9e7dWx07dlTJkiVNfStXrlR0dLSNMwOybsmSJUpM/N87j1944QU7ZpP7NGrUSOXLlze1Fy9ebMdsAACAPYRGheq73d+p2uRq6rC4g9acXKMEY4JNcyjsUljDGg/TsSHHtL3vdnm6e9o0PnKH3bul+vWlmTOlqKj0x0ZFSTNmSA0aSHv22CQ9wHIXLiRta+jtLT33nPR/7N13WBTn2gbwe1maNMUuoNgrIIi9K/aCvQNSrPHkJDlpxiTG9HpikpOTEBEpYsWKvZeoiQURsDcQxa70Xub7Yz73uICwC7MMC/fvurx0Zmfe9wEb7D3P++7YARTK0FHbujXw7bfi+oHh4cCwYQAfPi23l761loStrbTj0f/o3Y57ZW1MX9SLDjQiIiqusLAQq1evVh0bGxtj6tSpMDQ0xLRp0/Df//4XgNhZsnXrVrWl2aq6a9euITo6Gk+ePEFKSgrq1q0LGxsb9O3bF3Xr1pV0rosXL+LKlSt48OAB0tPT0ahRI3h5ecHIyOiV98TFxeHSpUtISEhASkoKDA0NUbduXdjb26Nnz56wkOjRo/z8fJw8eRI3b97Eo0ePYGpqilatWqFfv36Sfx6Ayv28l2bt2rWqX9va2sLV1bXS5q4OFAoF3N3d8dtvvwEATp06hTt37sDe3l7myoiIiEiXBEHAiYQT8I/0x6bLm5BbkCtLHY4NHfFat9fg4eQBC2OJH8mnauXkSWDIEOAVW3C/0rNngJsbcPAg8NIuBESVLy9P3P9rxQpxTzK5mkOMjYGJE4F584ABAxiOSWjSJLG7VSqTJ0s3FqnTu7AsOjq6zACspNfZhUZEVNyhQ4dw76WdRkeNGgVra2sAYofZi7AMEDvQNAnL/vGPf6jdt3LlSvj5+Wld26BBg9QekDh79iy6du1a6j3p6en497//jZCQEMTFxZV4jVKpRL9+/fDZZ5+hX79+ZdZx9OhRDBo0SHX8ySefYNmyZcjPz8fvv/+OP/74A5cuXSp236RJk1CnTh3VcXZ2Nnbt2oUtW7bg8OHDePjw4SvnVCqVcHNzwwcffICBAweWWWNJcnJy8NVXX+G3337D06fFl6tRKpWYPHkyvvvuOzRr1gzx8fFo0aKF6vXZs2cX6zp8FV183ivizp07uHjxour45d8/TfzrX//C8uXLVccjRozAnj17NLr37t276N27t9rfqyVLluDLL7/UqoaibGxs8ODBAwDi1znPnz9X+/OliRs3bsDBwQG5ueKbXi4uLjh37twrl6ccNGiQKiwTBAG7du3Ca6+9Vv4PgoiIiKqs5OxkrI5eDf9If1x+clmWGowMjDCp4yS81vU19G3Wlw8/U5nu3hVXqdM2KHshOxsYNw6IigKaNpW2NqIy3b4NrFwJBAWJ64XKpX17YO5cwMsLeGmFIZKOlxeweHHZna+asLAAPD0rPg6VTO/CsidPnmh03YtwzNDQEPb29mjSpAmsra1hZmYGIyMjKLkBoc5kZ2fj1KlTuHr1KpKSkmBsbAw7Ozv06NEDLVu2lHSuW7du4cyZM7h37x5yc3NhbW2N9u3bo3fv3jA1NZV0LqLqqKQlGF/o2bMnWrVqhVu3bgEADh8+jHv37qktzVaS2bNnq4VloaGhWodld+7cwbFjx1THHTt2LDMo27lzJ/z8/PD48eNSrysoKMDRo0fRv39/zJs3D//9739haKjdf4dJSUlwd3fHiRMnNL6nb9++iIyM1OjagoIC7N+/H/v378eiRYvw008/aVVjQkIChg8fjqtXr5Y6x4YNG7B3715s37693B1Dlfl519S+ffvUjgcMGKDV/R9++CFWrVqFlJQUAMDevXvx559/lhnyPX36FMOGDVMLyhYsWFDhoAwAevXqhS1btgAQv8Y5e/Yshg4dqtUYb7zxhiooA4Bffvml1H3c+vfvr3a8d+9ehmVERETViCAIOHf/HPzP+WPdxXXIys+SpY4WdVpgvut8+Lj4cJlF0spXXwHPn1dsjGfPxHF+/12amohKlZsLbN8OBAQABw7IV4epKTBlihiS9e0L8OEEnbKyEgMuf/+Kj+XhIY5HuqF3YVlWVslfvL144uhFSDZ//nx4e3vD1dVVZ2/G6YvExEScOXMGp0+fxpkzZ3Du3DmkpaWpXre3t0d8fHyF53ny5Ak+/fRTBAcHI+MVUbmrqys+/vhjjBs3rkJzbdu2DZ9//jnOnz9f4usWFhbw9vbGJ598orbvEhH9z4ulFV+oXbs2xowZo3bNrFmz8NlnnwEQl2wMDQ3FkiVLSh23W7du6NChA65cuQIA+PPPPxEfH4/mzZtrXFtoaKhaR/Ds2bNLvX7FihV47bXXUFCgvoeCmZkZ7O3tYWlpiefPn+P27dtq+1itWLECjx49wtatWzV+cjU/P79YUGZtbY2m//8o4p07d1Qhy8uyS3jc0cbGBnXr1oWFhQUyMjJUSzK+7L///S8yMzOxatUqjep7+PAhBg0ahNu3b6udVygUaNGiBerVq4dnz54hLi4OgiAgJSUFY8eOxcaNGzUa/2WV+XnXxp9//ql2XFbQWlS9evXwwQcfYPHixapzH3zwQanhaHp6OkaNGqUWUL68lGlF9e7dWxWWAcDp06e1Cst27Nih1h03Y8YM9O3bt9R7GjZsiKZNm+Lu/+9+XvTzSkRERPopPTcd62LXwT/SH+cflPw9ta4pFUqMbTcWC1wXYGiroTBQcLkv0k5qKvDSjgIVEhYmbs/EN6BJZ65fF7vIgoMBDRtBdMLBQVxm0cMD+P9VhahyLFkibv/27Fn5x6hXTxyHdEfvvhqxKuV/LkEQoFAoEBAQgN9//x09evSosUHZyZMnMXHiRNja2sLOzg4TJ07Et99+iyNHjqgFZVI5evQoOnbsiP/+97+vDMoAIDIyEuPHj8fs2bPVnm7XVE5ODjw8PDBhwoRXBmWA+Kblr7/+io4dO+L48eNaz0NUE2zcuFHtAYTJkyfDxMRE7ZqXO80AICQkRKOxXw63BEFQ2xdNEy9fb2BgUKyOlx06dAgLFy5UC2zGjh2Lo0ePIiUlBZcvX8bp06dx48YNPHnyBN9++y0sLS1V127fvh3fffedxrWtXLlSFZoMGTIEJ0+exNOnTxEdHY3o6GgkJSXhwIEDqFWrVrF7mzVrhrfffhuHDh1CSkoKEhMTERsbi7/++gsxMTFISkpCdHQ0Fi5cqNYBHRQUpBZslmb+/PlqQZmhoSEWL16Me/fuqbpxb926hbt37+K9996DoaEh0tLStO4YquzPuzZe7uBTKpXo0KGD1mO88cYbqgAUEP9f3bVrV4nX5ubmYsKECTh79qzq3PDhw7F69epSO7e00bt3b7XjM2fOaHxvTk4O3nrrLdWxubk5vv/+e43udXR0VP06OTkZN2/e1HheIiIiqnpuPLsBm3/bYN7OebIEZbaWtlg2YBni34zH1mlbMbz1cAZlVC6hodIsaQYA6enSBW9EKtnZwNq1wKBBQLt2wPffyxOUmZkBPj7AX38BMTHA668zKJNB06ZiU2F5F0IzNQUiIrhkrK7p3VckzZs3L7b/mEKhUJ3r3LkzfH195SitSjl79iy2bt2K+/fv63yuEydOYNSoUcX2xKlTpw5cXFzQvHnzYstehoaGYsaMGVrtJVdYWIhp06ZhzZo1aueVSiVatGgBZ2dn1K5dW+21J0+eYOTIkfjrr7+0/KiIqr+iwVdJgVSbNm3QvXt31fH169c1+vvk4eGhFhKEhoZqXNepU6dw48YN1fHQoUNhY2NT4rXJycnw8PBQdS0ZGBggMDAQERERGDBgQLEHJurWrYv33nsPf//9Nxo0aKA6v3Tp0lL3EHvZo0ePAABvvvkmDhw4gN69e6t9rAqFAkOGDCkWPP7++++4ffs2fvjhBwwePLjEhz8UCgWcnJzw22+/Yc+ePWpjfPPNN2XWtmPHDkRERKiOjYyMsG3bNnz99dfFPoe2trb49ttvsWXLFhgaGr5yr7GSyPF511ROTg6uXbumOra3ty/2e6EJU1NTfP7552rnPvroo2L/bxUWFsLDwwMHDx5UnXvRBWZkZKT1vK/i6uqq9nGcPn1a43t/+OEH1XKqgNglZ2trq9G97du3VzuOjo7WeF4iIiKqelrXbY0mlk0qdU4FFBjRegS2TduG+Dfj8cnAT2BnVfrS7kRl2bxZ2vE2bZJ2PKrBrlwB/vUvwNYWmDULeGkv9krl7Az89htw/z6wahXQsyeXW5RZnz7AwYNih5g26tUDDh0CijxDSzqgd2FZly5dXvmaQqHQel+SmsjCwkKysZKSkjBt2jS17hR7e3ts27YNz58/x/nz5xEXF4f4+HjMnz9f7d4tW7Zg+fLlGs/1/fffY/v27WrnFixYgISEBNy+fRtRUVF4/vw5tmzZgmbNmqmuyczMxNSpU0tcFo2oprp165baknJNmzZ95b+f5ekus7W1xZAhQ1THN2/exKlTpzSqrWiwVtoSjP7+/mphy5dffqnRAxMdO3ZU268tNzcXv/76q0b1AWIY8uOPP2p8PQD069dPq/0yhw4dinfffVd1fObMGVy+XPpm67/88ova8YcffojRo0eXes/YsWPVlhvUhFyfd00kJCSoLflY1h57pfH09ETnzp1VxxcuXMCGDRvUrlm0aBHCw8NVx46Ojti1axfMzMzKPW9JjI2N4erqqjp+/PixRkso37t3D1999ZXquEWLFnj77bc1nrdoyCrFss1EREQkH4VCgfmu88u+UAINzBpgcZ/FuPnPm9gzaw/GtR8HQ4OaufoPSe+lbYIlkZgo7XhUw2Rlie2O/foBHTsCy5dXfEO98rCwEPchO3sWOH8eWLgQKNJYQPLq0weIigIWLADMzUu/1sJCvC4qikFZZdG7sGzs2LGlvl7aMo01kaWlJQYOHIh3330X4eHhiI+Px44dOyQb//vvv1frXmvRogVOnTqFcePGqe1DY2dnB39/f3z55Zdq93/22WdISkoqc55nz54Vu/frr7/G77//rvZGnoGBASZMmIBTp06p7Y907949rd/YJqrOXg4sAGDmzJmv3Dtq+vTpap1CGzZsKHH/raKKhlyadJfl5OSohRFWVlYYP358idcWFBTgP//5j+r4xRKHmho1ahRcXFxUx5u1eDTxs88+08leW0UVDSpLCxwTExNx6NAh1XGdOnXw/vvvazTPBx98UKwz91Xk/Lxr4sX+Wi80aVL+J6cNDAzw7bffqp1bunQp8vPzVb/2f2mH3latWmH//v2oU6dOuecsTXmWYnznnXeQmZmpOv7xxx9hqsW6D0U/f0U/v0RERKR/vJ29YaLUvvNeUwObD8T6Setx9627+HrI12hp3VJnc1HNlZ4u7Xg62LGEaoIXyxra2ACzZwOl7HOtU926AQEBYhfZihVA167sIqvCmjYFfv9d/O369Vdg4ECgTRugcWPx54EDxfOJieJ1XHqx8uhdWDZixAjV0kElvVFZGcsO6oOxY8fi0qVLSE5OxpEjR/Ddd99h8uTJsLe3l2yOJ0+eqL1hCgABAQGvXC4NEN+Q7d+/v+o4JSUFP/zwQ5lzfffdd2p7rfXv37/UN4FtbW2xcuVKtXPLly/Hs4rsokhUTZS0h1hpe4I1aNAAw4YNUx0nJycX6/IsyYQJE9QeYNiwYQNycnJKvSciIgLJycmq46lTp5a49xcgLgf38r/506dP13rZu5c/rqtXrxZbTrYkjRo1wuDBg7Wap7xatGihdhwVFfXKa0+dOqW2ROCkSZM0DkXMzMwwceJEja6V6/OuqaJdxBXtph4+fLhal+SNGzewatUq/Oc//1FbprFJkybYv38/GjduXKH5SlM0LCtrKcZjx46phc9Dhgx5Zfj8KkU/f+zSJiIi0n91a9XFNIdpko5Zx7QO3ujxBi6/dhlHZh/BNIdpMDHUXSBHJOGiSQCAl7ZXJipdRsb/ljXs3FlMNV56H6PSWFkBr70mth2dOQPMmcM/yHrGygpYtAg4cgS4fh148ED8+cgR8Tx7giqf3oVlRkZGeP/991+5b9lRudaBrWJatWqFjh07qu2jI7X169cj/aVHefr37w83N7dS71EoFPjkk0/Uzq1atarUvcsKCwsRFBSkdm7ZsmVldnW4ubmhX79+quO0tDRs3Lix1HuIaoIjR47gzp07qmMnJyc4ODiUes+sWbPUjot2ppWkVq1amDp1quo4OTlZbT+tkhRd4rG0JRj//PNPteOuXbuWWVNRLy/ZCgBXrlwp856uXbtWuKvszJkzWLJkCUaNGoWWLVuibt26MDIygkKhUPtRdK+t0kKlc+fOqR0XDVbKoun1cn3eNfVyFxWAV4at2vj+++/Vfs/ff/99vPHGG6pja2tr7Nu3Dy1b6vapaW3CsoKCArz++uuqY0NDQ/z8889az1l0OckMqXZRJyIiIlktcF0gyTg9bHsgaFwQEv+ViJ9G/IQODTpIMi5RWSqw2nqJNNzSl2qyF8saNmkC+PkBWuwjLalevYCgILEt6b//FfcmIyJJ6F1YBgCvvfaaat+OFyHZC7dv38a2bdtkqqxmKdpZ4ufnp9F9gwYNUuuWePjwIf7+++9XXn/q1Ck8efJEddyyZUsMHDhQo7mK1sQ/G0TFg67SuspeGD9+vFqHyYEDB/DgwYMy79NmKcbHjx9j3759quNWrVqhb9++r7y+aMAyderUYmFTWT8WLVqkNsZzDdYUL9rtpY0///wTnTt3Ro8ePfD1119jz549iIuLQ1JSkmppv9Ikl/K0WmKRRfY7dNDujQpNr5fr815epT2MoSlnZ2e1wDg5OVk1rrm5OXbt2gVHR8cKz1OWRo0aqQVy58+ff+Wfm99++w2xsbGq40WLFqFjx45azynF54+IiIiqnp52PeHUyKlc95obmWO+63ycn3cef8/5G97O3jAzkna/VqKyTJok7XiTJ0s7HlUTqanAH3+Iyxq6ugL+/vKs2WltDbzxBhAbC5w6BXh7l73hFRFpTS/DMgMDA4SHh6NevXoA/rcc44vgbO7cubh27ZqcJVZ76enpOH78uNq5l5fVKo1CoVBb0goAdu7c+crrd+3apXY8dOhQjbs6hg4dqnZ89OhRPhVPNVp6ejq2bNmiOjYwMMDMmTPLvM/MzAwTJkxQHRcUFBRbyrEkffv2RatWrVTHe/fuxePHj0u8ds2aNWpv/Ht5eZU6ti6WVdVkibny7o35xx9/YMCAAYiJiSnX/QBKXcayaJCm6R5kL2i6z5Zcn3dNFe2E0mR/PU18+eWXxZabNDY2xpYtW9CrVy9J5tDEy91lWVlZaoHYC0+fPsXSpUtVxw0aNMCyZcvKNV9WVpbasTm/ISMiIqp0hUIh8gryJB1ToVBo3V3m1MgJv4/+Hfffvg//Mf5waeJS9k1EOuLlJV1WYGEBeHpKMxZVA4Lwv2UNbWyABQuAyEh5aunfHwgLEzev+uknoIxVgYioYgzlLqC8mjdvjp07d2L48OFISUlRC8yePXuGHj164LffftPoTWDS3qVLl5CX978v1lu0aKHVPi19+vRBQECA6vjChQuvvLboa9osLWZjY4PmzZsjPj4eAJCbm4vLly+jW7duGo9BVJ2Eh4erBcZt27bFlStXNFoGr+gScyEhIXjvvffKvM/Ly0u1/Gp+fj7Wrl2LN998s9h1L3edKRSKMsOy0rqsyquwsLDMa7TdnwsQl75cuHChWpeOoaEh+vbtix49esDe3h4NGzaEqalpsaUXi4b+r1I0SDM2NtaqxqLzvopcn3dNFQ390iR66m/Lli1q/+8B4h5gmj4oIpXevXsjLCxMdXzmzBm4uKi/UbVkyRK136cvv/xS4zC0qPQiO6drG8ISERFR+T3NfIrgC8H4I/IPvN3rbSzoKs3SiS/McpqFdw+8i4y8Vz9QampoimmdpmFB1wXoYdujwsuRE0nFykoMuPz9Kz6Whwf3BiKI+46tWQOsWAFU4CHXCqtXT+wcmzMHaN9evjqIaiC9DcsAoHv37jh+/DjGjRun2n9HEAQoFAqkpqbC09MTX331Fby9vTFmzBi05z8wkin6xrq2SzsVvb60N+qlmOtFWPZiPIZlVFMV3RPs6tWrGocxRV2+fBlnz54t8++Tl5cXli1bpgqKQkNDi4VlsbGxasF4//790bx581LHLdpB9M0336iW6C2vTp06Vej+V3n77bfVgrLRo0fD398fdmUstF9aJ1lRRUOMoiFHWVJTUzW6rqp/3ps2bap2rMlyoWUJDQ3Fv/71r2Ln9+zZg8jIyAp//Nooad+y+fPnq44jIyMRGBioOu7SpYvGyySX5P79+2rHRfebIyIiImkJgoBTd0/BP9If4ZfCkVMgfj3of84f813nSxpWWZlYYZbjLKw4v6LYa+3qtcOCrgvg1dkLdWvVlWxOIiktWQKEhwMVWfyiXj1xHKqhBEFc1jAgANi4ESiyskalcnMD5s4Fxo8HNHyYlYikpZdhma+vr9qxo6Mj4uPj1b5ofLEk4+XLl/H+++/j/fffh5mZGdq2bYsmTZrAwsICtWrVkuQLTYVCofbGVE1QdJnLom9OlqXo9Xfu3EF2djZMTU3VzmdlZSEhIUHSubhEJ9VUcXFxxZZPraiQkJAyw7LmzZujf//+OHbsGAAgKioKFy9ehMNLywcUDfGK7nVWkvr166sdt2jRotgSr1XB9evXERUVpTp2cHDAli1bNOr80mYvr7p11d/EuH//Ppy12Oi3aCjyKlX98960aVMYGBioutXu3btXofEiIiLg5+enCjtfHlsQBLz33ns4dOhQxYrWgqOjIywtLVUdc6df2lRaEAS8/vrrap16v/zyCwwMyr/qdtE/F2WF2ERERFQ+KdkpCIsJg3+kPy4+vljs9ehH0TideBo97XpKOu+CrgtUYZmhgSEmdpiIBa4LMLD5QHaRUZXXtCmwfTswZAhQntXXTU2BiAhxHKphnj0DVq8WQ7LLl+Wro2FDwNcX8PMDWreWrw4iAqCnYVlwcHCJX7S9eCPrRXfZi8DsxfmMjAxERUWVuuSftl7MVdPCsqJ7DpXVHVFUo0aNYGhoqNqfqLCwEM+ePYOtra3adU+fPlXrxjAyMkLDhg21mqvomK/aL0lbjx8/xpMnT7S65+bNm5LMTVQeISEhan+fpLBu3Tr8+OOPZQY/s2fPVoVlL2r5/vvvAYj7n61Zs0b1mpmZGSZrsLtyixYt1I6r6t+vv//+W+14zpw5Gi+ReOnSJY3nKdp1GxUVhVGjRml8v6b/N1b1z7uJiQnatWun6kpOSEgo8WEMTRw7dgzTpk1T/V9lZGSE7du345133sHl//+G6vDhw9i9e7dWn+uKMDAwQI8ePXDw4EEAYndoWloaLC0tERoair/++kt17cyZM9GnT58KzXf16lW1YycnpwqNR0REROoi70fC/5w/1l5ci8y8zFKv9T/nL3lY5tLEBVM6ToFLYxf4uviikUUjSccn0rU+fYCDB4Fx47TrMKtXTwzKtNjpg/SdIADHj4vLLG7eDGixkoukFApg2DCxi2zsWEDLLRSISHfK/6hxFfAiCCvpzd8X51+EZi9+FL2voj9qqqLLe5lruauqQqFArVq1Sh2zpHNmZmZaP91WtDZtlyZ7ld9++w0ODg5a/Rg/frwkcxNpSxAEtT3BAODo0aPl+nfPzc1NNcbz58+xY8eOMuefPHmy2vJ9a9asQUFBAQBg//79ePjwoeq1iRMnwtLSsswxBw0apHZ8+PDhMu+Rw6NHj9SO27Vrp/G92nxM3bt3VzveuXOnxvcCYgeVJvTh8/7ysogFBQWqYEsb58+fh7u7O7L//xFVAwMDhIaGYuTIkfjiiy/Urn3//fcl3XetLC8vxVhYWIizZ88iLS0NixcvVp03NzfHd999V+G5YmNjVb+uU6cOWvNpRyIiogrLyM1A4PlAdAvohq4BXbEyamWZQRkAbLi0Ac+zNF95QFMbp2zEB/0+YFBGeqtPHyAqCliwACjr7SkLC/G6qCgGZTXGkyfADz+I+38NHAisXStPUGZjA3z0EXD7NrB3LzBpEoMyoipGr8OyoiFYSYoGW0XDs4r+qKmKBk7leWK/PGGZruYhqu6OHz+OuLg41bGNjQ369etXrrFmzJihdhwcHFzmPZaWlpg0aZLq+MGDBzhw4ACA8i3BCIjhkLW1ter48OHD5QpFdK3ogxW5ubka3ZeTk4NVq1ZpPE+3bt3QqNH/3uD4+++/ERkZqdG9Z86cwdmzZzW6Vh8+70X/bGv6eXjh+vXrGDFihNo+br/88gumT58OAJgwYYJaOHnx4kWN/h5IpaR9yz799FO10HnJkiXFOqu19ejRI7VlLMv7bwYRERGJLj2+hNd3vw6bH20wZ8ccnLt/Tqv7s/OzEXIhpOwLiWqgpk2B338H7t8Hfv1VzETatAEaNxZ/HjhQPJ+YKF7HpRerucJCseVw2jTA1hZ4913g+vXKr8PAABgzRlwv9M4d4PPPAS5tT1Rl6XVYpm2Hl5QdZTW5qwyA6kn7FzRdUuxlJkU2q8wqYRPNypqHqLorGkhNmzat3PsYTZw4Ue3v4t69ezVa3rRoCBYaGoqUlBRs375ddc7Ozg6DBw/WqA4jIyO8+eabqmNBEDB//nzk5eVpdH9lady4sdrxiRMnNLrv448/LtaVVhojIyP4+PionVu4cGGxf0eLysrKwoIFC7Sap6p/3ocPH652rM1efffu3cPQoUPVltldtmwZFi1apHbdV199pXa8dOnSSvv/pWfPnmp/fzds2IBffvlFddyyZUu8/fbbFZ6n6Oet6OeViIiIypaTn4O1sWvRP6g/HH53wK9nf0VqTmrZN76Cf6R/jX8/gqg0VlbAokXAkSNiNvLggfjzkSPieSsruSsknXr4EPj6azEhHToU2LgRkON71aZNgWXLgPh4YMcOwN0dMNTL3ZCIahS9DstIPkU7vDTtlHhZTpGW55K6xiprnvJ47bXXcPHiRa1+bNu2TZK5ibSRmZmJTZs2qZ170SFTHtbW1mpvmufn5yMsLKzM+wYNGoSmLz2+t23bNqxcuVItzPH09NQqxHvjjTfUuqlOnDiByZMnIyUlReMxMjIy8Msvv+hs78miXUD+/v5l7vP1xx9/4IcfftB6rrfeegt169ZVHZ89exbjxo17ZZj56NEjjB07FlFRUVp1S1f1z7u9vT06deqkOj5y5IhG9z179gzDhg1DQkKC6tyiRYvwySefFLvWzc1NbUnSxMRELF++XOMa4+Pji3Wrx8fHa3Rv7dq11faoi46OVgsrf/zxx2IPipTH0aNH1Y4ra182IiKi6uDm85t478B7sFtuh1lbZuHPhD8lGff6s+s4Gn9UkrGIiKqFggJxWcOJE8WQaskScanDyqZUAuPHA7t3A3FxwCefsIWRSM8wLKNysbCwUDsuq3OhJEWfwC86ZmXOUx4NGzZEp06dtPrBvV5IDps2bUJaWprquFWrVsX2t9JW0bCtaOdaSQwMDODp6ak6zsrKwkcffaR2jaZLML5Qu3ZthIeHw8jISHUuIiICnTp1wr///W+10ONld+/exaZNm+Dh4QEbGxu88cYbuHv3rlZza6p169bo1auX6jgtLQ39+/dHeHg48vPz1a6Njo7GtGnTsGDBAgiCgA4dOmg1V8OGDfHzzz+rndu/fz/atWuHhQsXYs2aNdizZw/CwsKwYMECtGvXDocOHQIAzJ8/X+N59OHzPnPmTNWvExMTce5c6cscpaenY+TIkbhy5Yrq3PTp09U6tooq2l327bff4unTp+WsWDtFQ9gXhg4dinHjxlV4fEEQ1Pax69WrF1q0aFHhcYmIiKqzvII8bLmyBcNWD0Ob/7TB96e+x9NM6b828I/0l3xMIiK9k5goLmvYsiUwciSwdStQ5HvsStG8OfDll8Ddu2INI0eKwRkR6R2GZVQuRQOnjIwMre4XBKFcYVlmZqbWS04UrU2qsIxIX5S0BGNFjRs3DmZmZqrjmJgYREVFlXlf0TDs5QC8R48eaNeunda19OvXD6GhoWpdo4mJiXjnnXdgb28PGxsbODs7o0ePHmjfvj3q1q2LZs2aYcqUKVizZo3avlS68sMPP6gFSw8ePMDUqVNhbW2NLl26oGvXrmjcuDGcnZ2xceNGAIC5uTnWrFmj9VweHh74/PPP1c4lJyfD398fHh4eGDVqFDw9PfHHH3+oOsHGjx+Pd999V+0ewzKWiKjqn/dZs2apdctt2bLlldfm5ORg/Pjxavu2DR8+HKGhoaV2Onbv3h0TJkxQHaempuKzzz6rYOWaKSksMzQ0xE8//STJ+OfOnVPbr8zDw0OScYmIiKqjuyl3sfTIUtj/ZI9JGyfhwO0DOp1vy5UteJSu+XLdRETVRn7+/5Y1bNYMWLoUeMXDmjplaAhMngzs2wfcuiV2szVpUvl1EJGkGJZRuTRs2FDt+OU31DTx6NEjtY4KAwMD1K9fv9h19evXV3uzMy8vT6O9kV6WmJiodly0dqLqLCEhodgSdDNmzKjwuObm5hgzZozaOU26y9q2bYuePXuW+Jq2XWUvmz59Ok6cOIG2bdsWe+3BgweIjo7GmTNncO3aNSQlJRW7RqlUwsbGptzzl6V3794ICAhQC8wAsZspKioKkZGRavuTWVtbY+fOnXBxcSnXfB999BGCgoJgbW1d6nUKhQKLFi3Cxo0bkZmZqfZa7dq1y5ynKn/e7e3t1ZYNXLt2LQoLC4tdV1BQgBkzZqg67AAxuN28eXOx36+SfPHFF2qBmr+/P27dulXmfUU7pQ0NDbV6mKOksOwf//iH2vKMFbF69WrVry0tLRmWERERFVFQWIDdN3bDfZ07mv/cHJ8f/xwP0h9Uytz5hflYFbWqUuYiIqoS7twRg7HmzcWgbMcOoITv73SudWvgu+/ErrbwcGDYMKCc+8ETUdXDv81ULkW7P1615NarFL3e3t6+xL3EatWqhWbNmkk6V/v27bW6n0ifhYaGqnVjdurUCQ4ODpKMXTR0W7t2rdq+Sa9SUihmbGxcoX3UAMDV1RWXL19GaGgoevbsCWUZyx6YmJhg8ODB+OGHH3D37l3MmzevQvOXZfbs2Th+/Dj69+//ymtMTU3h6+uLS5cuYeDAgRWaz9vbG9evX8fy5cvRv39/2NjYwMjICBYWFnBycsI///lPREdH49dff4WRkRGeP3+udr8mYRlQtT/vb775purXd+7cwYEDxZ/ynj9/PrZu3ao67tChA3bv3g1zc3ON5ujYsaPa8qJ5eXn44IMPyrzv1KlTaseenp4lPjTyKsbGxmrHDRo0wLJlyzS+vzQ5OTlqXY0+Pj6w4k7oREREAICH6Q/x1Z9fodUvrTB67WjsuL4DhULlvmFrZmSG7HzttyggItIreXn/W9awRQtxycUiD8RXCmNjYMYM4MgR4Pp14N13AT6IT1Qtlb7GUhX3cscRVa6igdPly5e1uv/lPWFKGq/oa3fu3FGbq1u3bjqZi6i6+eijj4rtCyaV8ePHa70sKgAsWLAACxYs0EFFYqeSp6cnPD09kZKSgr///hv379/H06dPkZeXB0tLSzRs2BDt27dHu3btSgzpixo4cGC5Ps6S9OzZE8eOHUN8fDxOnjyJBw8eICcnB3Xq1EG7du3Qu3dvteUtAVRo7vr16+PNN99UC41eJSYmRu3Y3t5e43l08XmXwpAhQ+Dq6orIyEgAwG+//Ybhw4erXbNy5UqsXLmyQvMEBwcjODhYq3sOHz6s+rWRkRE+/vhjre7/9NNP1Y6/+uorjQPOsmzYsEEVnhoZGWn054eIiKg6EwQBR+KPwP+cP7Ze3Yr8Qhn2xAHg0NABC7suxCzHWahtKs3/+0REVc7t28DKlUBQEPDwoXx1tG8PzJsHeHoCWjzYSET6S2/DMqneuKTy6dSpE4yMjFRdJPHx8Xjw4AGaaLg+78mTJ9WOnZ2dX3mts7Mz9u3bpzo+deqUxsu1PXjwAPHx8apjIyMjyZaoIqKqrXbt2sWCkaqiefPmaN68udxlqHl5GUIA6Nq1a7nGqWqf988++wyjR48GAOzYsQPXrl0r1954Unt5eVRvb2+0aNFC43uvXLmC0NBQ1XGXLl3g6+srWW0//PCD6tc+Pj5a1UZERFSdPM96jpALIfCP9Mf1Z9dlqcFEaYKpnaZiQdcF6GXXiw8NE1H1lJsLbNsGBAQABw/KV4epKTBlihiS9ekD8N9cohpFL8OyuLg4uUuo8SwtLdG/f3+1N1cPHDgALy+vMu8VBAEHi/zHN3bs2FdeP2bMGHz77beq44MHD0IQBI2+Sdi/f7/a8aBBg7TaE4aIqCaIj4/Hjh07VMd169ZFhw4dZKxIOqNGjUKfPn1w8uRJCIKA7777DoGBgbLWdPXqVdy/fx+AuJyitt2fb731FgoKCgCIXfa//vqr2r5pFbFr1y7ExsYCEJcF1VVnKhERUVUlCAL+vvc3/CP9seHiBuQU5MhSR5u6bTDfdT68nb1Rz6yeLDUQEenc9etiQBYSAjx5Il8djo7A3LmAhwdQxt7fRFR96WVYps3SUKQ77u7uamFZYGCgRmHZkSNH1ALPRo0aoUePHq+8vnfv3qhfvz6ePn0KALh9+zaOHj2KQYMGlTlX0TdEx40bV+Y9RET6TtMHCgBxj63Zs2erwhdA3F9NqvClKvjpp5/Qo0cPFBYWIjQ0FO+//z7atm0rWz0vL8Ho5+dXbG/O0gQHB6t1W8+ZMwe9evWSpC5BENSWg3znnXfQtGlTScYmIiKq6lJzUrEmZg38I/0R8yim7Bt0wNDAEOPbj8cC1wUY1GIQDBTV5+sxIiKV7GxgyxZgxQrg2DH56jAzA6ZPF0OyHj3YRUZE+hmWUdUwffp0LFmyBBkZGQCA48eP4/Dhwxg8ePAr7xEEodg+Kz4+PqW+KWtgYABvb2+1ZaE+/fRTDBw4sNQ3gw8dOoQ///xTdWxpaYmpU6eW+XGRtOqZ1cPjdx7LXUaJ+IQmVVddunTBBx98gPHjx8PY2PiV192+fRs+Pj44fvy46pyJiQlee+21yiiz0nTt2hW+vr5YuXIl8vPz8eGHHyI8PFy2el4swWhiYoIlS5Zodd/LvzdNmjRR67yuqA0bNiAqKgoAYGdnhw8++ECysYmIiKqqqAdR8D/njzWxa5CRlyFLDc1qN8O8LvPg6+KLJpaabW1ARKR3Ll8Wu8hCQ4H/3yNZFi4u4jKLM2cCVlYa3ZKSAqxeDWzeDNy7B6SnAxYWgJ0dMGkS4OWl8VBEVIUpBG7+VeMU7cqyt7dX29dLG4sXL1Z7o65FixY4ceIEbGxsSrz+q6++wocffqg6rl27Nm7fvo26deuWOs/Tp0/RokULpKenq859/fXXWLx4cYnXJyYmom/fvmof10cffYTPP/9ckw9LZy5dugQHBwfV8cWLF9GpU6dyj5efn48bN26onWvTpg0MDZmDE9VkLx4kqFOnDoYPH45u3brB3t4eFhYWSEtLQ0JCAo4ePYo9e/aodZQBwPfff4933nlHjrLpJXfv3sW1a9cgCAISExOxf/9+rF+/XrVnq0KhwN69ezFs2DCZKyUqG79eIaKq6vNjn2Pp0aWyzK2AAqPbjsYC1wUY0XoElAZKWeogItKpzEwgPFwMyU6elK8OCwsxHJs3D3B11fi2u3eBL78EwsKAjFKepzA3Bzw9gSVLAC7OQVQxUr9/rg1+h1qNnTx5EllZWcXOR0dHqx1nZ2cX20PsBRsbG3Ts2PGVc7z33nsICQnBw4cPAYj7yfXu3Ru//PILxo4dq3rD9t69e/jiiy/wxx9/qN3/4YcflhmUAUD9+vWxZMkStSfwP/jgAyQkJOCjjz5ShXOFhYWIiIjAG2+8gYSEBLWP4+233y5zHiKi6iQ5ORkbNmzAhg0bNLr+n//8J/71r3/puCrSxPLly7F8+fJXvv7pp58yKCMiIqqgkW1GVnpY1tiiMea4zMGcLnNgX4dbTBBRNRUdLQZkYWFiW5ZcuncXl1mcPl0MzLRw8iTg7q5ZE1xGBuDvL+aCERFA797lrJeIZMXOsmqsefPmuHPnToXGmD17NoKDg0u95vjx4xg+fDiys7PVztepUwctWrRAcnIyEhISinUvjBs3Dlu3btV4X53CwkKMGzcOO3fuVDuvVCphb2+P2rVrIy4uDsnJyWqv16pVCwcOHECfPn00mkeX2FlGRJXBzs4OiYmJGl/ftGlTfPbZZ/D29tZdUaSVQYMG4ejRoyW+9sEHH+Crr76q3IKIKoBfrxBRVdZ1RVdEPojU+TxuLdywsOtCuLdzh5HSSOfzERFVuvR0YMMGcS+yM2fkq8PKSmzzmjsX6Ny5XEOcPAkMGSJur6YtU1Pg4EGgCrwNSaSX2FlGeq1///7YtWsXpkyZgucvPW6RnJys2vukqJkzZ2LVqlUaB2WAuHdZeHg4fHx8sH79etX5goIC3L59u8R76tWrh02bNlWJoIyIqLLcvXsXf/31F44cOYIzZ87g1q1buH//PtLT02FgYABra2s0bNgQPXv2hJubW5l7m1Hlu3DhgurXJiYmsLOzQ79+/bBw4UJ0795dvsKIiIiqmQVdF2Dujrk6GbturbrwcfbBPNd5aFuvrU7mICKSXWSk2EW2di2QliZfHb17i8ssTpkCmJmVe5i7d8WOsvIEZYB437hxQFQUl2Qk0jcMy0gSgwcPxuXLl/Hpp58iJCQEmZmZJV7n4uKCjz76CBMnTizXPKampli3bh0mT56ML774Qu3NxJeZm5tj9uzZ+OSTT9CwYcNyzUVEpK8UCgV69+6N3lz7QW8lJSXJXQIREVGNMN1hOt7e/zZSc1IlG7NP0z5Y0HUBJnecDFNDU8nGJSKqMlJTxXAsIAA4f16+OqytAS8vsYtMos6Tr77SbOnF0jx7Jo7z+++SlERElYTLMJLksrKycOrUKVy5cgXJyckwNjaGra0tevTogdatW0s6182bN3H69GkkJiYiNzcXderUQYcOHdCnTx+Ymla9b0q4DCMRERHVNPx6hYiqun/s/gf+e/a/FRrD0tgSXp29MN91PhwbOUpUGRFRFSII4vKKK1YA69cDr3hQvlIMGCAGZJMmieseSiQ1FbCxEfcgqygLCyAxUVwVkog0x2UYqVqpVasW3Nzc4ObmpvO5WrduLXkAR0RERERERDXHfNf55Q7LujTpgoVdF2K6w3RYGFtIXBkRURWQnAyEhYkhWWysfHXUrw94ewNz5gDt2ulkitBQaYIyQNzCbfVqYNEiacYjIt1jWEZEREREREREeiEjNwPmxuaSjunYyBF9mvbBybsnNbq+lmEtzHSciQVdF6CrTVdJayEiqhIEATh1SgzINm4s/wZeUnBzE/ciGzcOMDHR6VSbN0s73qZNDMuI9AnDMiIiIiIiIiKqsgRBwPE7x/H7ud+x68Yu3P7nbTQwbyDpHAu6LigzLOvYoCMWdl0IDycP1DGtI+n8RERVwrNnYntVQABw5Yp8dTRqBPj4iF1krVpV2rT37kk7XmKitOMRkW4xLCMiIiIiIiKiKicpKwmh0aHwj/TH1adXVeeDLgThvT7vSTrX5I6T8cbeN/A867naeWOlMaZ0nIIFXRegT9M+UCgUks5LRCQ7QQCOHRO7yDZvBnJz5alDoQCGDxf3Ihs7FjAyqvQS0tOlHS8tTdrxiEi3GJYRERERERERUZUgCALOJJ6Bf6Q/1l9cj+z84kt//RH5B97p/Q4MFAaSzWtqaAofZx/8+69/AwBaWbfCfNf58Hb2lryLjYioSnj8GAgJEbvIbtyQrw4bG8DPD/D1BZo3l68OABYSbz1paSnteESkWwzLiIiIiIiIiEhWaTlpWBu7Fv6R/rjw8EKp195Ouo2Dtw9iWKthktYw33U+bifdxsKuC+HW0k3SMI6IqEooLAQOHRIDsm3bgLw8eeowMABGjRL3Ihs5EjCsGm9R29kBN29KN56trXRjEZHuVY1/iYiIiIiIiIioxol+GA3/c/4Iiw1Deq7m61/5n/OXPCxrU68NtkzbIumYRERVwoMHQFAQsHIlEBcnXx3Nmv2vi8zOTr46XmHSJODoUenGmzxZurGISPcYlhHpsZLWyxcEQYZKiIiIiEpW0tcm3POHqGbLysvCxksb4R/pj7/v/V2uMSKuRSAxNRG2Vnxsn4ioRAUFwP794l5kO3aIx3JQKgF3d3EvsmHDxOMqyssLWLwYyMio+FgWFoCnZ8XHIaLKw7CMSI8ZGBRfFqSgoABGMmyCSkRERFSSghLemCnpaxgiqv6uPb0G/3P+CIkOQVJ2UoXGKhAKEBgViKUDlkpUHRFRNXHvHrBqFRAYCCQkyFdHixZiQObtDTRpIl8dWrCyEgMuf/+Kj+XhIY5HRPqDYRmRHlMoFFAqlWpvQmVlZcHU1FTGqoiIiIj+JzMzU+1YqVSys4yoBsktyMW2q9vgf84fR+KPSDp2wPkALOm3BIYGfGuDiGq4/Hxg925xL7Ldu8W9yeRgZASMHy/uRTZ4sLg3mZ5ZsgQIDweePSv/GPXqieMQkX7hV5REes7c3Bypqamq47S0NFhbW8tYEREREdH/pKer70FkYWEhUyVEVJnikuIQcD4AgVGBeJzxWCdz3Eu9h903dsO9nbtOxiciqvLu3BE7yAIDgfv35aujTRuxi2z2bKBhQ/nqkEDTpsD27cCQIUB2tvb3m5oCERHiOESkXxiWEek5S0tLtbAsMzMTubm5MDY2lrEqIiIiIiA3N7dYZxnDMqLqK78wH7tv7Ib/OX/svbkXAnS/n7L/OX+GZURUs+TliXuQBQQA+/YBcu1db2wMTJ4shmQDBgDVaOWAPn2AgweBceO06zCrV08Mynr31l1tRKQ7DMuI9Jy5ubnasSAIuHv3Luzt7WFoyL/iREREJI/8/HzcvXsXQpE3cIp+7UJE+i8xNRGBUYEIOB+Ae6n3KnXuvTf3Ii4pDi2sW1TqvEREle7WLWDlSiAoCHj0SL46OnQQl1n09BTToWqqTx8gKgr46itg9WogI+PV11pYiHuULVnCjjIifcZ30on0nFKphKWlJdLS0lTncnNzcevWLVhZWcHKygpGRkYw0MN1oomIiEi/FBYWIi8vD6mpqUhNTUVhkf0yLC0toVQqZaqOiKRUKBTi4O2D8D/nj4hrESgQCsq+SQc6N+6MxxmPGZYRUfWUkyOuCbhiBXDokHx1mJoCU6eKXWR9+lSrLrLSNG0K/P478O23YmC2aROQmAikpQGWloCtrdhc5+kJWFnJXS0RVRTDMqJqoEmTJsjNzUVOTo7qXGFhIZKTk5GcnCxfYURERET/z8TEBE2aNJG7DCKqoCcZTxB0IQh/RP6B20m3ZanB1NAUMxxmYEHXBehm0w2KGvKmLRHVINeuiV1kwcHA06fy1eHoKHaRzZoFWFvLV4fMrKyARYvEH0RUfTEsI6oGlEolmjZtivj4eOTn58tdDhEREZEaIyMjNG3alF1lRHpKEAScSDgB/0h/bLq8CbkFubLU0aF+ByzougCeTp6wrlVz37QlomoqOxvYvFnsIjt+XL46zMyAGTPELrLu3WtMFxkREcMyomrCyMgIzZo1w6NHj5BR2kLKRERERJXI3NwcjRo1gpGRkdylEJGWnmU+Q2h0KALOB+DK0yuy1GBkYIRJHSdhgesC9Lfvzy4yIqp+Ll0CAgKA0FAgKUm+Orp0EQOymTO5piAR1UgMy4iqERMTEzRr1gx5eXlISUlBSkoK8vLyIAiC3KURERFRDaFQKGBkZITatWujdu3aDMmI9IwgCDh25xhWRK7A5iubZesia1GnBea7zoePiw8amjeUpQYiIp3JzATCw8UuslOn5KvDwkJcYnHuXMDVVb46iIiqAIZlRNWQkZER6tevj/r160MQBAiCgMLCQrnLIiIiomrOwMAACoWCnR9EeuhxxmOEXAhBwPkA3Hh+Q5YaDBQGcG/njgWuCzC01VAYKAxkqYOISGeio8WAbM0aICVFvjq6dxf3Ips2TQzMiIiIYRlRdffiDSsDA36jSURERERExQmCgJ4reyIuOU6W+W0tbTG3y1z4dfGDnZWdLDUQEelMejqwfr0Ykp09K18dtWsDHh5iF1nnzvLVQURURckeljVp0gRjxoyBu7s7hg4dClNTU7lLIiIiIiIiIqoxFAoFPJw88Pnxzyt13uGthmNB1wUY03YMDA1kf3uCiEhakZFiQLZ2rRiYyaVPHzEgmzIFMDOTrw4ioipO9q9GHz16hFWrVmHVqlWoVasW3NzcMG7cOIwdOxYNGjSQuzwiIiIiIiKias/PxQ9fHP8CAnS733EDswbwdfHFPNd5aGndUqdzERFVupQUMRwLCACiouSrw9oamD0bmDMH6NRJvjqIiPSI7GHZC4IgIDMzEzt37sTOnTuhUCjQvXt3jBs3Du7u7ujQoYPcJRIRERERERFVS/Z17DGs1TDsu7VPJ+MPsB+ABV0XYEL7CTAxNNHJHEREshAE4PRpMSBbvx7IzJSvlgEDxL3IJk4EuHoXEZFWqkxY9mITcEEQVD+fPn0ap0+fxpIlS9CyZUtVcNa3b1/uv0REREREREQkoXmu8yQNy+qY1sHszrMx33U+OjTgA7BEVM0kJQFhYWJIFhsrXx316wPe3mIXWbt28tVBRKTnqkxYJggCFAqFKjR7ce6FW7duYfny5Vi+fDmsra0xevRouLu7Y8SIETA3N5ejZCIiIiIiIqJqY2zbsWhk3giPMh5VaJwetj2woOsCTO00FWZG3B+HiKoRQQBOnBADsvBwIDtbvlqGDBH3Ihs3DjBhxy4RUUVVmbBMoVCohWNFgzPgf+HZ8+fPERYWhrCwMBgbG2PQoEFwd3eHu7s7bGxsKrVuIiIiIiIiourASGkEH2cffHPyG63vNTcyh4eTB+a7zodLExcdVEdEJKNnz4DQUGDFCuDqVfnqaNQI8PUF/PyAVq3kq4OIqBpSCC8nVDJ4sZziq4KxF0p7/eXXunTpAnd3d4wbNw5OTk5Sl0tUIZcuXYKDg4Pq+OLFi+jEjVaJiIiIiEhLt57fQmpOquTB1K3nt9D6P601vt6xoSMWdl2IWU6zYGViJWktRESyEgTg6FGxi2zzZiA3V546FApg+HBxL7IxYwAjI3nqICKqBHK+fy57Z9nOnTuxfft27Ny5Ew8ePFCdLysce9VyjZGRkTh//jyWLVuGZs2aYezYsRg3bhwGDhwIpVKpw4+EiIiIiIiISHdy8nOw7eo2BJwPwKG4QxhgPwBHvY9KOkeruq3g1sINh+IOvfIaU0NTTOk4BQu7LkRPu57Fvn8nItJrjx8DwcHAypXAjRvy1WFr+78uMnt7+eogIqohZO8se9nZs2cRERGB7du34+LFi6rzmnaVFX3t5detrKwwYsQIjBs3DqNGjYKVFZ94o8rHzjIiIiIiItLWtafXEHA+ACHRIXia+VTttauLrqJd/XaSzrfh4gZM3zy92HnHho6Y5zoPsxxnwbqWtaRzEhHJqrAQOHRIXGZx+3YgL0+eOgwMgNGjxb3IRo4EDGXvcyAiqlRyvn9epcKyl8XHxyMiIgIRERE4fvw48vPzAUizXKOhoSH69++v2ufMnk9nUCVhWEZERERERJrIysvC5iubEXA+AMfvHH/ldW/3ehs/DPtB0rlz8nNgt9wOTzOfwszIDNM7Tcc813nobtudXWREVL08eAAEBYldZHFx8tXRrBkwZw7g4wPY2clXBxGRzBiWlSElJQW7d+9GREQE9u7di5SUFADFgzFA866zl19zdHRUBWddu3aVunwiFYZlRERERERUmkuPLyHgfABCo0ORlJ1U5vX1zerj3lv3YGJoImkdv575FYYGhpjpOJN7kRFR9VJQAOzbJ+5FtmOHeCwHpRJwdxf3Ihs6VDwmIqrhGJZpIT8/H8eOHVN1nd25c0f1mhTLNTZp0gRjx46Fu7s73NzcYGxsLPWHQDUYwzIiIiIiIioqMy8TGy9tRMD5AJy6e0rr+9dPWo9pDtN0UBkRUTVy9y6wahUQGCj+Wi4tW4pdZN7eQJMm8tVBRFQFMSyrgJiYGFVwFhkZqQrBpAjOzM3NMWzYMLi7u2PMmDGoW7euLj4EqkEYlhERERER0QvRD6OxInIF1sSuQUpOSrnHcWvhhoNeByWsjIiomsjPB3bvFvci27NH3JtMDkZGwIQJ4l5kgweLe5MREVExDMskcv/+fezYsQMRERE4fPgwcnJyAEizz5lSqUSvXr0wbtw4uLu7o3Xr1rr4EKiaY1hGRERERFSzpeemY/3F9VgRuQJn75+VbNybr99Eq7qtJBuPiEivxceLHWSrVgH378tXR5s24jKLXl5Aw4by1UFEpCcYlulAZmYm9u3bh+3bt2P37t14+vQpAOn2OWvXrp0qOOvVq5fU5VM1xbCMiIiIiKjmEQQBkQ8iERAZgLUX1yI9N13yORb3WYyvh3wt+bhERHojLw+IiBD3Itu/H5DrLU8TE2DSJDEk698fKOG9SCIiKhnDMh0rLCzEqVOnVMs1Xr9+XfWaFMs1NmjQAGPGjIG7uzuGDRsGU1NTqT8EqiYYlhERERER1Rwp2SlYG7sWAecDEPUwSqdzNTJvhLtv3YWR0kin8xARVTk3bwIrVwLBwcCjR/LV0bGjuMyipydQr558dRAR6TGGZZXs2rVrquDsr7/+QuH/r1esTXD2qtdNTU0xZMgQuLu7Y+zYsWjIFmt6CcMyIiIiIqLqTRAEnE48jRWRK7Dh0gZk5mVW2tybp27GxA4TK20+IiLZ5OQA27aJe5EdPixfHaamwLRpYkjWuze7yIiIKohhmYyePn2KnTt3IiIiAgcOHEBGRgYAafY5MzAwQF5eni7KJj3FsIyIiIiIqHpKykpCWEwYVpxfgYuPL8pSw/BWw7HXY68scxMRVYpr18RlFkNCgP/fckUWTk5iQDZrFmBtLV8dRETVjJzvnxtWyixVWP369eHt7Q1vb2/k5OTg0KFDiIiIwI4dO/DgwQPVdWWFYyW9/qJjjYiIiIiIiKofQRBwIuEEAs4HIPxyOLLzs2Wrxa2FG/xc/GSbn4hIZ7KygM2bxZDs+HH56jA3B6ZPF/ci69aNXWRERNVMjQ/LXmZiYoJRo0Zh1KhR8Pf3x9mzZ1XLNcbGxqquKxqOlbVcIxEREREREVUfTzOfIjQ6FAHnA3D16VXZ6mhk3gg+zj6Y02UOWtVtJVsdREQ6cfGiGJCtXg0kJclXh6ur2EU2YwZgZSVfHUREpFMMy0rRrVs3dOvWDZ9//jnu3LmD7du3IyIiAn/++adqecWSgjMGZkRERERERNWLIAg4Gn8UK86vwJYrW5BbkCtLHQooMLz1cMzrMg9j2o6BkdJIljqIiHQiMxPYuFHci+yvv+Srw9ISmDlTDMlcXeWrg4iIKg3DMg3Z29vjn//8J/75z38iJSUFe/bswfbt27F3716kpKQAKHk5RiIiIiIiItJfjzMeI/hCMALOB+Dm85uy1WFraQtfF1/4ufjBvo69bHUQEenEhQtiF1lYGJCaKl8dPXqIyyxOnQpYWMhXBxERVTqGZeVQu3ZtTJ8+HdOnT0d+fj6OHTum2ucsPj5e7vKIiIiIiIioAgqFQhy8fRAB5wOw7eo25Bfmy1KHgcIAo9qMwrwu8zCyzUgYGvBbeCKqRtLSgPXrxZDs7Fn56qhdG/D0FLvInJzkq4OIiGTFr7QryNDQEG5ubnBzc8PPP/+MmJgYREREYPv27YiKipK7PCIiIiIiItLC9qvb8da+txCXHCdbDc1qN8MclznwcfGBnZWdbHUQEUlOEIDISHGZxXXrgPR0+Wrp00fsIps8GTAzk68OIiKqEhiWSczJyQlOTk746KOP8ODBA7nLISIiIiIiIi1YGFvIEpQpFUq4t3PHPNd5GNpyKJQGykqvgYhIZ1JSgLVrxZDswgX56qhbF/DyErvIOnaUrw4iIqpyGJbpUJMmTeQugYiIiIiIiLQwqMUgtLJuhVtJtyplvpbWLTHHZQ68nb3RxJLfQxJRNSIIwN9/i8ssbtgAZGbKV8vAgWJANnEiYGoqXx1ERFRlMSwjIiIiIiIi+n8GCgPM6TIHHxz6QGdzGBkYYUKHCZjbZS4GtxgMA4WBzuYiIqp0SUnA6tViSHbxonx1NGgAeHsDc+YAbdvKVwcREekFhmVEREREREREL/F29sbHRz5GfmG+pOO2qdsG81znwauzFxqaN5R0bCIiWQkCcOKEuMzipk1AdrZ8tQwZIu5FNm4cYGwsXx1ERKRXGJYRERERERERvaSxRWO4t3PHlitbKjyWidIEkzpOwrwu89Dfvj8UCoUEFRIRVRFPnwKhoWIX2dWr8tXRuDHg4wP4+QGtWslXBxER6S2GZURERERERERFzO0yt0JhWccGHTG3y1x4Onminlk9CSsjIpJZYSFw9KgYkG3ZAuTmylOHQgGMGCHuRTZmDGBkJE8dRERULTAsIyIiIiIiIr0mCILkHVtDWw6FfW173Em5o/E9poammNZpGuZ2mYveTXuzi4yIqpdHj4DgYGDlSuDmTfnqsLUVO8h8fQF7e/nqICKiaoVhGREREREREemla0+vIeB8ALZc2YLoBdGwNLGUbGylgRJ+Ln5YenRpmdc6NXLCvC7zMMtpFuqY1pGsBiIi2RUWAgcPinuRbd8O5Eu7l6PGDAyA0aPFvchGjAAM+ZYmERFJi/+zEBERERERkd7IysvC5iubEXA+AMfvHFedX39xPea6zpV0Ll8XXyw7tgyFQmGx18yNzDHdYTrmuc5DN5tu7CIjourl/n0gKEjsIouPl68Oe3uxi8zHB7Czk68OIiKq9hiWERERERERUZV36fElBJwPQGh0KJKyk4q9vuL8CsnDMlsrW4xuMxo7ru9QnXNt4oq5XeZihuMMWJlYSTofEZGsCgqAffvELrKdO8VjORgaAu7u4l5kQ4cCSqU8dRARUY3CsIyIiIiIiIiqpMy8TGy8tBEB5wNw6u6pUq89d/8coh5EwaWJi6Q1zHOdh6PxRzHLcRbmus5FlyZdJB2fiEh2d+8CgYHAqlXir+XSsqUYkHl7A40by1cHERHVSAzLiIiIiIiIqEqJfhiNFZErsCZ2DVJyUjS+L+B8AH4b/ZuktYxsPRL3374PC2MLScclIpJVfj6waxcQEADs2SPuTSYHIyNgwgRxL7JBg8S9yYiIiGTAsIyIiIiIiIhkl56bjvUX12NF5AqcvX+2XGOExYTh+6Hfw9zYXLK6lAZKBmVEVH3ExYldZEFB4r5kcmnbVuwimz0baNBAvjqIiIj+H8MyIiIiIiIikoUgCIh8EImAyACsvbgW6bnpFRovLTcNGy9thI+Lj0QVEhFVA7m5QESE2EV24AAgCPLUYWICTJ4shmT9+wMKhTx1EBERlYBhGREREREREVWqlOwUrI1di4DzAYh6GCXp2CvOr2BYRkQEADdvAitXil1kjx/LV0fHjuIyi56eQN268tVBRERUCoZlREREREREpHOCIOB04mmsiFyBDZc2IDMvUyfz/H3vb8Q+ioVjI0edjE9EVKXl5ABbt4pdZIcPy1dHrVrA1KliSNarF7vIiIioymNYRkRERERERDqTlJWEsJgwrDi/AhcfX6yUOQPOB+CXkb9UylxERFXC1atiQBYSAjx7Jl8dTk5iQDZrFlCnjnx1EBERaYlhGREREREREUlKEAScSDiBgPMBCL8cjuz87Eqdf3XManw75FvUMqpVqfMSEVWqrCxg82ZgxQrgzz/lq8PcHJgxQ9yLrFs3dpEREZFeYlhGREREREREknia+RSh0aEIOB+Aq0+vylaHqaEprj27BufGzrLVQESkMxcvil1koaFAcrJ8dbi6il1kM2YAlpby1UFERCQBhmVERERERERUboIg4Gj8Uaw4vwJbrmxBbkGuLHUooMCI1iMwt8tcjGk7BkZKI1nqICLSiYwMYONGMST76y/56rC0FJdYnDsX6NJFvjqIiIgkxrCMiIiIiIiItPY44zGCLwQj4HwAbj6/KVsdtpa28HPxg6+LL+zr2MtWBxGRTly4IC6zuGYNkJoqXx09e4oB2bRp4rKLRERE1QzDMiIiIiIiItJIoVCIg7cPIuB8ALZd3Yb8wnxZ6jBQGGBM2zGY22UuRrQeAUMDfmtLRNVIWhqwfr0Ykp07J18ddeoAnp5iSOboKF8dRERElYDfURAREREREVGp7qfdR1BUEAKjAhGXHCdbHfa17TGnyxz4OPvA1spWtjqIiCQnCGIwFhAArF0rLrsol759xb3IJk8GatWSrw4iIqJKxLCMiIiIiIiIiikoLMC+W/sQcD4AO67tQIFQIEsdhgaGcG/njrld5mJoy6FQGihlqYOISCdSUsQlFgMCxCUX5VKvHuDlJXaRdeggXx1EREQyYVhGRERERERExaTnpmNK+BRk5mXKMn8r61aY02UOvJ290diisSw1EBHphCAAf/8tLrO4YQOQlSVfLYMGiQHZhAmAqal8dRAREcmMYRkREREREREVU9u0NqZ1moagC0GVNqeRgREmdpiIuV3mYlCLQTBQGFTa3EREOvf8ORAWJoZkly7JV0eDBoCPDzBnDtCmjXx1EBERVSEMy0hyaWlpOHHiBO7du4enT5/C0NAQdnZ26Nq1K9pI+EVYWloaTp48ievXryM1NRW1atWCvb09evfuDRsbG8nmISIiIiKqqeZ2mVspYVnbem0xr8s8eHX2QgPzBjqfj4io0ggC8Oef4jKL4eFATo58tQwdKu5F5u4OGBvLVwcREVEVxLCMJPPXX3/h008/xaFDh5Cfn1/iNQ4ODnj33Xfh6ekJhUJRrnni4uKwdOlSbNy4Ebm5ucVeVygUGDBgAD799FP079+/XHMQERERERHQ064nHBo64OLji5KPbaI0weSOkzHPdR76NetX7u8PiIiqpKdPgZAQMSS7dk2+Opo0EbvI/PyAli3lq4OIiKiK45oWVGH5+fl47bXX0Lt3b+zbt++VQRkAXLx4EbNnz8aIESOQlJSk9VwbN26Eg4MDwsLCSgzKAEAQBBw9ehQDBw7E4sWLIQiC1vMQEREREZH4INrcLnMlHbNjg474afhPuP/2fYRNDEN/+/4MyoioeigsBA4fBqZPB2xtgXfekScoUyiAUaOAbduAhATgyy8ZlBEREZWhSnSWhYaGyl1ChXl5ecldgiwKCgowbtw47N69u9hrNjY2sLGxQXp6Om7duoW8vDzVa/v378fQoUNx7NgxmJubazRXeHg4ZsyYgcLCQrXzDRo0QNOmTfH48WMkJiaqwjFBEPDtt98iJycHy5cvr8BHSURERERUc3k4eeD9g+8jOz+73GPUMqyFaQ7TMLfLXPSy68VwjIiql0ePgOBgsYvs1i356rCzEzvIfH2BZs3kq4OIqBpLykpC+OVwhMWE4Z3e78C9nbvcJZFEqkRY5u3trfffLNXUsOyjjz4qFpSNHTsWX375JRwdHVXnUlJSEBQUhKVLlyItLQ0AEBkZiddeew0hISFlznPr1i34+PioBWWdO3fG8uXLMWjQINW5a9euYcmSJdiyZYvq3E8//YR+/fph4sSJ5f44iYiIiIhqqrq16mJyx8kIiwnT+t7OjTpjnus8zHSciTqmdaQvjohILoWFwIEDYkC2fTtQyio7OqVUAqNHi3uRjRghHhMRkaRy8nOw68YuhMWEYdeNXcgtEFc8a2TRiGFZNaIQqsAadQYGBlAoFHq7XJ5CoUBBQYHcZVS6mzdvon379mof+z//+U/8/PPPr7zn/PnzGDx4MFJSUlTnzp49i65du5Y618yZM7Fu3TrVcbdu3XDw4EFYWVkVu1YQBCxYsAArVqxQnWvVqhWuXr0KQ0N58+FLly7BwcFBdXzx4kV06tRJxoqIiIiIqLrIzMvE5sub0bFBR7jauEo69p93/kT/YM32AzY3MscMhxmY5zoPXW266v2DkUREau7fB1atAgIDgfh4+eqwtwfmzBH3I7O1la8OIqJqqlAoxImEEwiLCUP45XAkZycXu8ZEaYKH7zzkQ2ESkvP98yq1Z5lCodC7HzXZ999/rxaUubq64scffyz1ni5duhRbEvGDDz4o9Z5Lly5hw4YNqmNjY2OEhISUGJQB4p+jn3/+GW3atFGdu3XrFoKCgkqdh4iIiIhI3wiCgHP3z2HhzoVo8u8m8NrmhR//Lv1r8vLo26wv2tdvX+o1XW264o8xf+DB2w8Q4B6Abrbdavz3TERUTRQUALt2AePGicsbfvyxPEGZoSEwaRKwdy9w+zbw0UcMyoiIJHb5yWUsObQELX5ugQHBAxBwPqDEoAwAcgpysPny5sotkHSmSoVlgiDo1Y+aLiIiQu34/fffh1KDdn8vLy80bdpUdXzw4EHExcW98vpVq1apLb84ffp0dOjQodQ5TE1NsXjxYrVzK1euLLM2IiIiIiJ98CzzGX45/Quc/3BGt4Bu8I/0R2pOKgBg8+XNeJb5TNL5FAoF5naZW+y8pbElFnZdiPPzzuPs3LOY5zoPliaWks5NRCSbhARg2TKgRQtgzBggIkIMzipbq1bAN98A9+4BmzYBw4cDBlXqLT0iIr32IO0BfvzrR3T5ows6/dYJX5/4GgkpCRrdGxar/VLlVDXxf1Yql2vXruHhw4eqY6VSidGjR2t0r1KpxKhRo9TOvbzHWFFFQzk/Pz+N5pk2bRrMzc1Vx2fPnsX9+/c1upeIiIiIqKopFApx4NYBTN80HTY/2uCNvW8g5lFMsetyCnKwOma15PN7dfaCsdIYANDTridWua/Cg7cf4LfRv8GliYvk8xERySIvD9i2TdwHrHlz4NNPgbt3K78OIyNg2jTg0CHg+nXg/feBRo0qvw4iomoqLScNodGhGLZ6GOyW2+Ht/W8j6mGU1uMcjT+qcbBGVZu8GziR3kpIUP8HoHXr1jAzM9P4/s6dO6sdR0RE4O233y523bVr13Dz5k3Vsbm5OXr37q3RHC+uPXDgAACxc3HXrl2YO7f4E7FERERERFVVQkoCgqKCEHQhCHdS7mh0T8D5ALzR4w1Jl0Gsb1Yff4z5A65NXOHYyFGycYmIqoS4OHEfslWrgAcP5KujXTtg7lzAywto0EC+OoiIqqG8gjwcuH0AYTFh2HZ1G7LysyQZd23sWizuu7jsC6lKY1hG5fLsmfqyLnXr1tXq/nr16qkdX7hwocTrip7v3r07DA01/2Pbp08fVVhW2jxERERERFVJTn4Otl/bjsCoQBy4dQACtFsG/vKTyzh19xT6NOsjaV3ezt6SjkdEJKvcXHFpxYAA4MABQK4tN0xMgClTxJCsXz+A+z0SEUlGEAScvX8WYTFhWH9xPZ5kPpF8jtUxq/F+n/e5X6+eY1hG5WJQZG3sAi3X7M7Ly1M7Tk1NRWJiImyLbEx75coVteOOHTtqNU/R64uOR0RERERUlcQ+ikVgVCDCYsLwLKti+44FnA+QPCwjIqoWbtwAVq4EgoOBx4/lq6NTJ2DePMDDA9DyIWQiIirdree3sCZ2DcJiwnDj+Q2dznX5yWVEP4qGc2Nnnc5DusWwjMqlaCfZYy2/uCzp+itXrhQLy65du6Z23LRpU63mKXp90fGIiIiIiOSWkp2CdRfXYVXUKpy9f1aycTdc2oDlw5fDupa1ZGMSEemtnBxg61ZgxQrgyBH56qhVS9yLbN48oGdPdpEREUnoWeYzbLi0AWExYfjr3l+VOndYTBjDMj1XpcIyudsUBbna7fVQy5Yt1Y7j4+Px5MkTNNBwPe1z584VO/fo0aNi54qGanZ2dlpUiWLh25Mn0rXZPn78WOvxXt5/jYiIiIhqLkEQcPzOcQRGBWLT5U2S7Zfwsuz8bKyJXYN/dP+H5GMTEemNq1fFZRZDQoBnFevYrRBnZ3GZxVmzgNq15auDiKiaycrLwo7rOxAWE4Y9N/cgvzBfljrWxq7Ft0O+hdJAKcv8VHFVJixjUKVfWrZsCRsbG9y/f191bsOGDfjHP8r+Rjw9PR07d+4s8XxZ58zNzbWqs+j1eXl5yMnJgYmJiVbjlOS3337Dp59+WuFxiIiIiKjmuJ92HyEXQrDqwircfK77B6lWRK7Aom6LZH8wkYioUmVlAZs2iV1kJ07IV4e5OTBzpthF5urKLjIiIokUFBbg2J1jCIsJw6bLm5CWmyZ3SXiU8QhRD6PQ1aar3KVQOVWJsOyTTz6Rdf6cnBwEBwfj4cOHUCgUDO40NH78ePz222+q42+++QYeHh6oU6dOqfd9/fXXSE1NLXZek7DM1NRUqxpr1apV4phShGVERERERJrIK8jDrhu7EBgViD039qBA0G6/34qIfRyLM4ln0MOuR6XNSURUlpQUYPVqYPNm4N49ID0dsLAA7OyASZMALy/AyqocA8fGil1kq1cDyclSl625rl3FgGz6dMDSUr46iIiqmdhHsVgdsxprY9ciMS1R7nIAAC6NXeDh5IHpDtNhY2kjdzlUATU6LCssLERQUBA+//xzPHr0iEGZlt566y34+/ujsLAQAJCYmIhJkyYhIiLilR1gq1evxrffflvia1lZxZeeyc7OVjs2NjbWqsaSQrGS5iEiIiIiktrVp1exKmoVQqND8Sij+JLjlWVF5AqGZURUJdy9C3z5JRAWBmRkFH/95k3g6FFg8WLA0xNYsgQoc+vyjAxg40axi+zvv3VRtmasrMQlFufOBVxc5KuDiKiauZd6D+ti1yEsNgwxj2LkLgcA0Kx2M8xynIVZjrPQqWEnucshiVSJsEwO4eHhWLp0Ka5fvw5Au2Ugiy5h0rp1a0lr0xetW7fG4sWL8dVXX6nOHT58GJ06dcLixYsxYsQI2NjYICMjA+fPn8cff/yB8PBwAOLn0MrKCikpKap7LSwsis1RtJMsNzdXqxpzcnLKHLO8XnvtNUyZMkWre27evInx48dLMj8RERERVT3puekIvxSOwKhAnLx7UtZa7Gvbw9vZGz7OPrLWQUQEACdPAu7uwPPnZV+bkQH4+wPh4UBEBNC7dwkXRUWJXWRr1gAlrF5TaXr1EgOyqVPFZReJiKjCUrJTsOXKFoTFhuFI3BEIkL/BpbZJbUztNBUeTh7o26wvDBQGcpdEEqtxYdnevXvx4Ycf4sKFC2oBmSZdZS+HZIIgwNbWFkuXLoWvr6/O6q3qPvvsM8TGxmLHjh2qc3fu3MHChQtLve/TTz/F9u3bERkZqTpX0vKNRQO0op1mZSmpi6ykUK48GjZsiIYNG0oyFhERERHpL0EQcDrxNALPB2L9pfVIzy2+vHhlMVYaY0L7CfBz8YNbSzd+E09EVcLJk8CQIYCW39Lj2TPAzQ04eBDo0wdAWhqwbp0Ykp07p5NaNVKnjrhW5Ny5gIODfHUQEVUzN5/fxIeHP0TEtQhk52v5n4YOGBkYYUzbMfBw8sCoNqNgaihNEwZVTTUmLDt58iSWLFmCE/+/sasgCMXCr1cpel39+vWxePFiLFq0qMbvfaVUKrF161a8++67+OWXX1BQUPr+C0ZGRvj000/xwQcfYM2aNWqvaRKWZZS0TkMpil5vaGgoWWcZEREREdVsjzMeIywmDIFRgbj85LKstTg1coKfix9mOc5CPbN6stZCRPSyu3fFjjJtg7IXsrMFLBt9DltHroDFjnUlr99YWfr1E/cimzQJKGGPdCIiqhgzIzNsurwJhUKhrHX0a9YPHk4emNxxMurWqitrLVR5qn1YduHCBXz44YfYu3cvgP+FYi8CMG1CMktLS7z99tv417/+JVl3UnWgVCrx448/Yt68efjhhx+wZ88e3L9/X+0ac3NzTJo0CW+99RacnZ0BAM+ePVO7pqTlLIt2bt27d0+r2hIT1Td6bNCggVb3ExERERG9rKCwAPtu7UNgVCAirkUgvzBftlqsTKww02Em/Lr4wbWJa7Hl4omIqoKvvtJs6cWirJCCWViDeVgB55RoYL30tWmkXj1g9myxi6x9e5mKICKqGWwsbeDWwg0Hbh+o9Lnb128PTydPzHScieZ1mlf6/CS/ahuWXb9+HR9//DE2b94MQRAqFJKZmppi0aJF+OCDD1C3LpPkV2nfvj1WrlwJQAy1Hj9+jMzMTDRp0gRNmzaFsbGx6tonT57g6dOnqmNzc3N06NCh2Jjt2rVTO05ISNCqpqLXt+cXtkRERERUDreTbmNV1CoEXwhGYlpi2Tfo0AD7AfBz8cOkjpNgZmQmay1ERKVJTQVWr9bmDgG98BfmIgDTsAFmKL61QqUZPFgMyCZMAGr4qkJERJXJw8mj0sKyRuaNMMNhBjycPNClSRc+fFbDVbuw7N69e1i2bBlCQ0NRUFCgVUhW9DpDQ0P4+vpi6dKlsLGx0W3h1YydnR3s7Oxe+XpsbKzasbOzM5RKZbHrioZbly9rt7zNlStXSh2PiIiIiEgT/9j9D+y5uUe2+ZtYNIG3szd8XXzRum7xFRmIiKqi0FDNVk20xnN4YjXmIgAOuKT7wl6lYUPAxweYMwcoYfUbIiLSvQntJ2CB4QJk5evmgQlzI3NM6DABHo4ecGvpBkODaheRUDlVmz8JT58+xZdffok//vgDOTk5FQrJFAoFZsyYgc8++wytWrXSbeE11K5du9SOR44cWeJ1L5ZsfOHs2bPIz8+HoaFmf3RPnjxZ6nhERERERJrwc/Gr9LDM0MAQY9qOgZ+LH0a0HsFv5IlI72zeXNqrAvrhT8zDCkzGJpgip7LKUqdQAEOHinuRjR0LvLQqDhERVT5LE0uMbz8e6y6uk2xMA4UBhrUaBk8nT4xrNw7mxuaSjU3Vh95/t5WWlobvv/8eP/30EzIyMoqFZIBmSy6+uGbs2LH44osv4OjoqMOqa7aCggKEh4erjpVKJXx8fEq8tn379mjVqhVu3boFAMjIyMCpU6fQv3//MufJyMjAX3/9pTpWKBQYM2ZMBasnIiIioppobLuxaGDWAE8yn+h8rnb12sHPxQ9enb3QyKKRzucjItKVkrYdr48n8EIo5iIA7XGt8ot6oUkTwNcX8PMDWrSQrw4iIirGw8lDkrCsq01XeDh6YLrDdH5dTWXS27AsOzsbv/zyC7777jskJSVVOCQbOHAgvvrqK/Ts2VOHVRMArFixAnfv3lUdjxo1qtRlLt3d3bF8+XLVcWBgoEZh2YYNG5Cenq467tq1K5fTJCIiIqJyMVYaw9PJEz/+/aNOxjc3Mse0TtPg18UPvex6cb8EIqoWXnxLrkAhBuEI5iIAE7EFxsiTpyADA2DkSHEvstGjAQ1XrSEiopLFJ8djz409WNhtoaTjDm05tNwPqjWv0xwejh6Y5TQL7etzSx7SnN59VVBQUIAVK1bgiy++wMOHDyscknXt2hVfffUVhgwZosOq6YVbt27h448/Vh0bGRnhm2++KfUeX19f/PTTT6rfs/Xr12Px4sXo0KHDK+/Jzs4uNq6fn18FKiciIiKims6vi5/kYVkvu17wc/HD1E5TYWliKenYRERya276ELMRjDlYida4JV8hdnbiPmS+vkDTpvLVQURUDSRlJSH8cjjCYsLwZ8KfAIA+zfrAqZGTZHMYKY0w3WE6/nPmPxpdb21qjWmdpsHDyQO9m/bmg2dULnoVloWFhWHZsmWIi4srd0j24rqOHTvi888/x4QJE3RXcA2QkJCA+vXrw8zMrMxrr1y5gpEjR+LZs2eqc++++y46duxY6n0ODg6YOnUqNmzYAADIzc3F7NmzcfDgQVhZWRW7XhAEvPnmm7hx44bqXMuWLeHr66vph0VEREREVEzHBh3R064n/r73d4XGaWDWAF6dveDr4ouODUr/WpiISO8UFgIHDgArVuDPOxEwRL48dSiVwJgx4l5kw4eLx0REVC45+TnYdWMXwmLCsOvGLuQW5Kq9HhYThu+GfifpnB5OHqWGZSZKE4xtNxYejh4Y2WYkjJXcc5IqxkDuAjSxfft2ODo6Yvbs2bh9+zYEQYBCoVDrEntVUFb0Ont7ewQHByM2NpZBmQQiIiLQrFkzvPnmmzh27BiysrKKXRMbG4v33nsPzs7OuHPnjup8r1691LrMSvPFF1+oBXJnz55F//79cfToUbXrrl+/jsmTJ+OPP/5QO//NN9/AyMhIi4+MiIiIiKg4P5fyrVZgoDDAqDajsHnqZtz71z38MOwHBmVEVL0kJgJffAG0bAmMGAFs2QJDQYagrHlzsY6EBGDbNmDUKAZlRETlUCgU4vid45i3Yx4a/7sxJm2chK1XtxYLygBgbexaFBQWSDp/N5tuaFO3TbHzA5sPxMqxK/HwnYcInxKOce3HMSgjSVTpzrJDhw7hww8/xNmzZyvcSda4cWN8+OGHmDdvHkMTiT179gw///wzfv75ZyiVSrRo0QLW1tbIysrCgwcP1DrJXujWrRt27NgBU1NTjeZo3bo1AgMDMXPmTNXve3R0NAYNGoQGDRqgWbNmePz4Me7du1fsz8Xrr7+OKVOmVPwDJSIiIiK9kJqTivUX1yOvIA+Lui+SdOxpnabhzb1vIiMvQ6PrW1q3hK+zL2Y7z4adlZ2ktRARya6gANizBwgIAHbuFLvK5GBoCIwfL+5FNmSIuDcZERGVy+UnlxEWE4Y1sWuQkJKg0T2JaYk4ducYBrcYLFkdCoUCnk6eWHp0KTo16ARPJ0/McJyBZrWbSTYH0cuqZFh25swZLFmyBEeOHAGAYkGZNiGZtbU13nvvPfzzn/9ErVq1dFg1AeKecjdv3nzl6wqFAn5+fvjpp59gbm6u1djTp0+HIAjw8/NT62B78uQJnjwpebPHd955B999J20LMBERERFVPYIg4ETCCQRGBSL8cjgy8zJR36w+5rrOlfRJU0sTS0ztNBVBF4JeeY2poSkmdZgEPxc/DGg+AAYKvmlLRNVMQgIQGAisWgXcuydfHa1biwHZ7NlAo0by1UFEpOcepD3A+ovrERYbhvMPzpdrjLCYMEnDMgCY6zoX7u3c4dTIifuQkc5VqbDs0qVL+PDDD7Fjxw4AFQvJzM3N8cYbb+Ddd99F7dq1dVh1zTZw4EDMnj0b+/btw8OHD195nYmJCcaMGYP33nsP3bt3L/d8M2bMQI8ePfDxxx8jPDwceXl5JV7Xv39/fPbZZxgwYEC55yIiIiKiqu9h+kOEXAjBqgurcP3ZdbXXnmY+RcS1CEzuOFnSOf1c/EoMy7o06QI/Fz/MdJyJOqZ1JJ2TiEh2eXnArl3AihXA3r1AKe/R6JSxMTBxorgX2YAB7CIjIiqn9Nx0bL2yFWGxYTh4+yAKhYp1B2++shn/HfVf1DKSrmGlsUVjNLZoLNl4RKVRCKUlUJUkLi4OS5cuxfr161FYWFihkMzY2Bjz58/Hhx9+iIYNG+q2cFJz+/ZtXLx4EQkJCUhNTQUA1K1bF+3atUOPHj3U9hyTQmpqKk6cOIEbN24gLS0NpqamaNasGfr06QNbW1tJ55LKpUuX4ODgoDq+ePEiOnXqJGNFRERERPonvzAfu2/sRmBUIHZd34UC4dX7I4xoPQJ7Zu2RdH5BENDhvx1w7dk1WJtaY5bjLPh18YNzY2dJ5yEiqhLi4oCVK8UuslIektW59u3FLjIvL6B+ffnqICLSY/mF+Thw6wDCYsOw7eo2ZOZlSjr+xskbMaUTt8Oh8pPz/fMq0VnWrl07FBQUaBWSFb1OqVTC09MTy5YtQ7NmXLdUDi1btkTLli0rbT4rKyuMGjWq0uYjIiIiInldf3Ydq6JWISQ6BA/TNXvDdt/NfbibchdNazeVrA6FQoEvBn+BvII8TOgwAaaGmu3DS0SkN3Jzge3bxb3IDhyQrYwsmCJtxBQ0XDIX6NsX4BJcRERaEwQB5+6fQ1hMGNZdXIcnmSVvZyOFsNgwhmWkt6pEWJafnw+FQlGukMzAwACTJ0/G559/jrZt2+q8ViIiIiIiqjwZuRkIvxyOwKhAnEg4ofX9AgQEXwjGxwM+lrQuqZd2JCKqEq5fF7vIgoOBV+wNXhkuGTjgYq956PO7B+wcrWWrg4hIn91Ouo01MWsQFhtWbLlyXdl9YzeeZj5FfTN2AJP+qRJh2cs0XRVSEAQoFAo0bNgQT548wYIFC3Rc2aspFAocOnRItvmJiIiIiKoTQRBwJvEMAqMCsf7ieqTlplVovFUXVuHD/h/CQMF9bYiIisnOBrZuFfciO3pUtjIyFWY41mgaMmbNw7CPe6BTbXaRERFp61nmM2y8tBFhsWE4dfdUpc+fX5iP8EvhWNhtYaXPTVRRVSos0yYoe/Hzo0eP8OjRI12WVWYtCi4DQERERERUYU8zn2J19GoERgXi0pNLko0bnxyPI3FH4NbSTbIxiYj03pUr4jKLISHA8+fy1eHsDMybB7OZMzGydm356iAi0lNZeVnYeX0nwmLDsPvGbuQX5staT1hsGMMy0ktVKiwrD00DNl1gSEZEREREVDEFhQU4cPsAAqMCsf3qduQV5ulknsCoQIZlRERZWUB4uBiSndB+aVvJWFgAM2cCc+cCrq7ci4yISEuFQiGOxR9DWEwYNl3ZhNScVLlLggIKuLV0g4ejBxtMSC/pfVjGv3RERERERPonLikOQReCEHwhGHdT7+p8vi1XtiApKwnWtbj3DRHVQLGx4jKLYWFAcrJ8dXTrBsybB0yfLgZmRESkldhHsQiLCcPai2txL/We3OUAAJwbO8PD0QPTHabD1spW7nKIyk3vwzJ2lhERERER6Yfs/GxsvbIVgVGBOBRXuXv+5hTkYE3sGvyj+z8qdV4iItlkZAAbNogh2enT8tVhZQV4eIhdZM7O8tVBRKSn7qXew7rYdQiLDUPMoxi5ywEANLVqilmOszDLaRYcGjrIXQ6RJPQ+LCMiIiIioqot6kEUAqMCsSZ2DZKzk2WrIyQ6hGEZEVV/58+LyyyuWQOkpclXR+/eYkA2ZQpgbi5fHUREeig1JxWbL29GWGwYjsQdgQD5GkZeqG1SG1M6ToGHkwf62feDgcJA7pKIJMWwjIiIiIiIJJeUlYS1sWsRGBWIqIdRstbStl5b+Ln4wauzl6x1EBHpTGoqsG6dGJJFRspXh7U14OUFzJkDOLDTgIiovD46/BH+c+Y/cpcBIwMjjG47Gh6OHhjddjRMDU3lLolIZxiWERERERGRJAqFQhyNP4rAqEBsubIF2fnZstViZmSGqZ2mws/FD32a9uES6kRU/QgCcPasuMzi+vXisoty6d9f3Its4kSgVi356iAiqiZmOs6UNSzr26wvPBw9MKXTFNStVVe2OogqE8MyIiIiIiKqkHup9xB8IRhBF4JwO+m2rLX0sO0BPxc/THOYBisTK1lrISLSieRkcYnFFSuAGBn3rqlfH5g9W+wia99evjqIiKqhHrY90Mq6FW4l3aq0OdvVawcPJw/MdJyJltYtK21eoqqCYRkREREREWkttyAXO67tQGBUIPbd2odCoVC2Wuqb1Yenkyf8XPzQqWEn2eogItIZQQBOnRKXWdy4EcjKkq8WNzdxL7Lx4wETE/nqICKqxhQKBTycPPDpsU91Ok8j80aY7jAdHk4ecG3iytUYqEarUmEZ/zISEREREVVt155ew4rIFVgdsxpPMp/IVocCCgxvPRx+Ln5wb+cOY6WxbLUQEenMs2fA6tViSHb5snx1NGwI+PoCfn5A69by1UFEVIPMcpylk7DMzMgMEztMhIejB9xausHQoEpFBESyqTJ/EwRBkLsEIiIiIiIqw/Zr2/Hj3z/KNn/zOs3h6+wLb2dvNK3dVLY6iIh0RhCA48fFZRY3bwZycuSpQ6EAhg0Tu8jGjgWM+VACEVFlalOvDXrY9sDpxNMVHstAYYChLYfCw8kD49uPh4WxhQQVElUvVSIsi4uLk7sEIiIiIiLSgFdnLyw5tAQFQkGlzWmiNMGkjpPg5+KHgc0HwkBhUGlzExFVmidPgJAQsYvs+nX56rCx+V8XWfPm8tVBRKRHBEFARl6G5CGUh5NHhcIy1yau8HDywHSH6Whs0VjCyoiqnyoRltnb28tdAhERERERaaCxRWOMaTsG269t1/lcLo1d4Ofih5mOM2Fdy1rn8xERVbrCQuDwYTEg27oVyMuTpw4DA2DUKLGLbNQowLBKvF1ERFTlJaQkYG3sWoTFhKF13dbYNn2bpONP6zQNb+59U6sH1exr28PDyQOzHGehQ4MOktZDVJ3xqx8iIiIiItKKn4ufzsKyOqZ1MMtxFvxc/ODSxEUncxARye7hQyAoCFi5Erh9W746mjYVO8h8fcVfExFRmZKykrDp8iaExYbh+J3jqvPXn13Hs8xnqGdWT7K5Gpg3wIjWI7Drxq5Sr7M2tcbUTlPh4eSB3k17cyUGonJgWEZERERERFoZ2WYkmlg0wYP0B5KNObjFYPi5+GFC+wmoZVRLsnGJiKqMggLgwAFxL7IdO4D8fHnqUCrFPcjmzRP3JFMq5amDiEiP5OTnYPeN3QiLDcPO6zuRW5Bb7Jq8wjyEXw7Hgq4LJJ3bw8mjxLDMWGmMsW3HwsPJAyNbj4SJoYmk8xLVNAzLiIiIiIhIK4YGhpjdeTa+OflNhcaxs7KDj7MPvJ290dK6pUTVERFVMYmJwKpVYhdZQoJ8dTRvLi6z6OMDNGkiXx1ERHpCEAScTjyN0OhQrL+4HknZSWXeExYTJnlY5t7OHRbGFkjPTQcADLAfAA8nD0zuOBl1TOtIOhdRTcawTALfffcd3nvvPbnLICIiIiKqNL4uvuUKy4wMjDCu/Tj4ufhhaMuhUBqwo4GIqqH8fGDPHnEvsl27xL3J5GBoCIwfL3aRubmJe5MREVGp4pPjERYThtDoUNx4fkOre0/ePYnbSbclfRDMzMgMb/d6G6aGppjpOBPNajeTbGwi+h+9DMtu3ryJ1q1by10GAGDp0qX48ssvGZYRERERUZXzLPMZwmLCcOb+GayZuEbSsdvUa4P+9v3V9mkoTacGneDn4gcPJw80MG8gaS1ERFXGnTtAYKDYSZaYKF8drVuLXWSzZwONGslXBxGRnkjNScXmy5sRGhOKo/FHKzTW2ti1+Kj/R9IU9v+WDVwm6XhEVJxehmVubm44ceIEmsq8+ey7776Lf//731AoFLLWQURERET0QkFhAQ7ePojAqEBsv7ZdtZ/CO73egUsTF0nn8nX2LTUsszS2xHSH6fBz8UN32+78upmIqqe8PGDnTnEvsn37AEGQpw5jY2DSJDEkGzgQ4L+5RESlevF1c2hMKLZe2Yqs/CxJxg2LCcOH/T7k175EekYvw7K7d+/Czc0Nf/75JxrJ9ITUokWL4O/vL8vcRERERERFxSfHIygqCMHRwUhIKb4nTmBUIH5t8qukc07uOBmv73kdablpauf7NusLPxc/TOk4BebG5pLOSURUZdy+Le5DFhQEPHwoXx3t24vLLHp6AvXry1cHEZGeiH0Ui9DoUKyJXYMH6Q8kH//as2uIfBCJrjZdJR+biHRHL8MyALh16xaGDBmCo0ePol69epU2ryAI8PX1RWhoaKXNSURERERUkuz8bGy7ug2BUYE4dPsQBLy6m2FN7Bp8P/R71DKqJdn85sbmmOEwAyvOr0Aj80aY3Xk2fF180a5+O8nmICKqUnJzgW3bxL3IDh6Urw5TU2DKFDEk69OHXWRERGV4lP4I6y6uQ0h0CC48vKDz+cJiwhiWEekZvQ3LAODSpUsYPnw4Dh8+DCsrK53PV1BQAA8PD2zcuBGCILCVloiIiIhkEf0wGoFRgQiLCUNSdpJG9yRnJ2Pr1a2Y6ThT0lre7PkmRrUZhVFtRsFIaSTp2EREVcb162JAFhICPHkiXx2OjuIyix4egLW1fHUQEemB7PxsRFyLQGh0KPbe3IsCoaDS5l53cR1+GPYDDA30+u13ohpF7/+2RkVFYdSoUdi/fz/MzMx0Nk9eXh4mT56MnTt3MigjIiIiokqXnJ2MdbHrEBgViMgHkeUaIzAqUPKwrEODDujQoIOkYxIRVQnZ2cCWLeJeZMeOyVeHmRkwfboYkvXowS4yIqJSCIKAU3dPISQ6BBsvbURKToosdTzOeIyDtw9iROsRssxPRNrT67BMoVBAEAT89ddfcHd3x65du2BiYiL5PNnZ2Rg3bhwOHDigNi8DMyIiIiLSJUEQcOzOMQRGBWLT5U3Izs+u0HiH4w7jdtJttLRuKVGFRETV0OXLYhdZaCjw/Ll8dbi4iMsszpgB1K4tXx1ERHrgdtJtrI5ejdCYUNxOui13OTA1NMXN5zflLoOItKDXYdmLwEoQBBw5cgSTJ0/G1q1bYWgo3YeVkZGB0aNH4/jx4wD+F5QREREREelKYmoiQqJDsCpqFW4l3ZJ07KCoIHw++HNJxyQi0nuZmUB4uBiSnTwpXx0WFsDMmWJI5uoqXx1ERHogJTsFGy9tRGhMKE4knJC7HCigwOAWg+Hh5IGJHSbCykT32wYRkXT0OiwD1AOz3bt3Y+bMmdiwYYMkXV8pKSkYMWIETp8+rRqPQRkRERER6UJuQS52Xt+JVVGrsOfmHhQKhTqZJzg6GMsGLoPSQKmT8YmI9Ep0tBiQhYUBKfIs1QUA6N5dXGZx+nQxMCMiohLlF+Zj/639CI0Oxbar25BTkCN3SejcqDM8nDwww2EGbK1s5S6HiMpJ78MyQD0w27x5M3x8fBAcHFyhMZ89e4ahQ4fiwoULDMqIiIiISGeuPLmCwKhAhEaH4knmE53Pdy/1Hvbf2o+RbUbqfC4ioiopPR3YsEHci+zMGfnqsLICPD3FkKxzZ/nqICLSAxceXkBodCjWxq7Fo4xHcpcDW0tbzHKcBQ8nDzg2cpS7HCKSQLUIywD1wGz16tUwMzPDb7/9Vq6xHj58CDc3N1y5coVBGRERERFJLi0nDRsvbURgVCD+uvdXpc8fGBXIsIyIap7ISLGLbO1aIC1Nvjp69xaXWZwyBTAzk68OIqIqThAELP97OUKiQxDzKEbucmBmZIZJHSbBq7MXBjUfxJUaiKqZahOWAeqB2R9//AFzc3N8//33Wo1x9+5duLm54ebNmwzKiIiIiEgyhUIhjt85jqALQdh0eRMy8zJlq2X/rf3IyM2AubG5bDUQEVWK1FQxHAsIAM6fl68Oa2vAy0vsIuvUSb46iIj0iEKhwPZr22UNyl7sQ+bV2QsTO0yEhTGXyiWqrqpVWAaoB2Y//vgjzM3NsWzZMo3uvXXrFtzc3JCQkMCgjIiIiIgkEZcUh9DoUIREhyAuOU7WWjo36gw/Fz/McprFoIyIqi9BEJdXXLECWL8eyJTv4QQMGCAGZJMmAaam8tVBRKSnZneejeN3jlf6vO3rt4eXkxc8nDzQtHbTSp+fiCpftQvLAPXA7PPPP4eFhQXeeeedUu+5fPkyhg4digcPHmgUlL24BgB8fX2lKZyIiIiIqoWM3AxsvrIZwReCcST+iKy11DapjZmOM+Hn4ocuTbqofR1LRFStJCcDYWFiSBYbK18d9esD3t7AnDlAu3by1UFEVA1M7jgZi3YvQnZ+ts7nqlerHmY4zIBXZy90tenKr5uJahi9DMu++eYbLF68WBWIleTlwOz999+HhYUFFixYUOK1Fy5cwPDhw/HkyROtgjJBEPDuu+/i22+/reBHRERERET6ThAEnEg4geALwdh4eSPSc9NlrWdQ80Hwc/HDxA4TUcuolqy1EBHpjCAAJ0+Kyyxu3Ahk6/7N1FdycxO7yMaPB0xM5KuDiKgasTKxwoT2E7Du4jqdjG9kYISx7cbCy8kLI9uMhLHSWCfzEFHVp5dh2XvvvQelUol333231MAMgOr1f/zjHzAzM4OXl5fa63///TdGjRqF5ORkjYOyF69/8803eO+99yT4iIiIiIhIXyWkJCA0OhTBF4JxK+mWrLXYWtrC29kbPs4+aFW3lay1EBHp1LNnQGioGJJduSJfHY0aAT4+YhdZK/67S0SkC16dvSQPy3rY9oBXZy9M6zQN9czqSTo2EeknvQzLAODtt9+GUqnEv/71r1eGXC+6yxQKBQoLC+Hn5wczMzNMnjwZAHDs2DG4u7sjLS2tzKDs5deVSiX8/f3h5+enqw+PiIiIiKq4qAdReO/gezh0+xAEyLfPraGBIdzbucPPxQ/DWw2H0kApWy1ERDolCMCxY+Iyi5s3A7m58tShUADDh4tdZGPHAkZG8tRBRFRDDGk5BI0tGuNh+sMKjdOsdjN4OnnC08kT7epzmVwiUqe3YRkAvPnmm1AqlXjjjTdUoVhpEymwYwABAABJREFUgVlBQQFmzZoFMzMzGBoaYsKECcjKytIqKDMxMcHatWsxYcIE3X5wRERERFSlmRia4ODtg7LN36F+B/i5+MGzsycamjeUrQ4iIp17/BgICRG7yG7ckK8OGxvA1xfw8wOaN5evDiKiKiwxNRGGBoZoZNFIsjENDQwxy3EW/v3Xv7W+18LYAlM6ToFXZy/0t+8PA4WBZHURUfWi12EZALz++utQKpV4/fXXAaDMwCwvLw+TJ0+GIAjIycnRKiiztLTEtm3bMGjQIB1+RERERESkDzo26Ijutt1xJvFMpc1pYWyBaZ2mwc/FDz3tenLTcSKqvgoLgUOHxIBs2zYgL0+eOgwMgFGjgHnzgJEjAUO9fxuFiEhyGbkZ2Hp1K0KjQ3Hw9kEs6bcEXwz+QtI5ZneerXFYZqAwwJCWQ+Dl5IXx7cfD3Nhc0lqIqHqqFl/lvfbaa1AqlXjttdcAlB2YZf//hr/aBGX169fHnj174OrqqqsPg4iIiIj0jI+zT6WEZX2a9oGviy+mdpoKC2MLnc9HRCSbBw+AoCBg5UogLk6+Opo2Ffch8/UF7Ozkq4OIqIoqFApxNP4oQqNDsenyJmTkZaheWx2zGp8N+kzSLi7HRo5wbuyMCw8vvPKaTg06YXbn2ZjpOBO2VraSzU1ENUO1CMsAYP78+VAqlZg/fz6AsgOzl8+V5OWgrGnTpjhw4ADatm2ro+qJiIiISB9N6zQNb+59EzkFOZKP3dC8IWZ3ng1fF1+0r99e8vGJiKqMggJg/35xL7IdO8RjOSiV4h5k8+YBw4aJx0REpObq06tYHb0aq2NW427q3RKvSUhJwPE7xzGw+UBJ5/Zy8ioWljUwa4CZjjPh1dkLLo1duPICEZVbtQnLAGDOnDlQKpWYO3euKhh7VWD24tclefn19u3bY//+/bDjk2REREREVIR1LWuMbz8eGy5tkGQ8A4UBRrUZBT8XP4xuMxpGSiNJxiUiqpLu3QNWrQICA4GEBPnqaNFC7CLz8QGaNJGvDiKiKupZ5jOsv7geoTGhGq+qEBodKnlYNsNxBt498C6UBkqMazcOXp29MLzVcH7NTESSqFZhGQD4+PhAqVTC19e31MDsVV4Oyrp164bdu3ejXr16Oq2ZiIiIiPSXj7NPhcOytvXawruzN2Y7z4aNpY1ElRERVUH5+cDu3eJeZLt3i3uTycHICBg/Hpg7F3BzE/cmIyIildyCXOy6vguhMaHYdX0X8gq12zsy/HI4fh31K8yMzCSrqbFFY2yfvh29m/aGdS1rycYlIgKqYVgGAF5eXlAqlfD29kZhYWGJgVlJXg7K3NzcsG3bNpibcwNIIiIiouri5vObaF23taRjDmk5BLaWtkhMS9TqPktjS0x3mA5vZ2/0suvFJWOIqHqLjxc7yFatAu7fl6+O1q3FZRZnzwYaNpSvDiKiKkgQBJy9fxah0aFYd3Ednmc9L/dY6bnp2HZ1G2Y6zpSwQmB029GSjkdE9EK1DMsAYNasWTAwMICXl5dGgdnLQdmkSZOwdu1aGBmxhZeIiIhI3z3JeII1sWsQfCEYMY9iEP9mPJrVbibZ+EoDJbw6e+HrE1+Xea0CCgxuMRg+zj6Y0GGCpE/aEhFVOXl54h5kK1aIe5Jp8BCrThgbA5MmiSHZgAEAH04gIlKTkJKAsJgwhEaH4tqza5KNGxodKnlYRkSkK9U2LAOAGTNmQKlUwsPDAwUFBa8MzF4+P3fuXPj7+/PJXiIiIiI9lleQhz039yDoQhB2Xt+J/MJ81Wuro1fjw/4fSjqft7N3qWFZS+uW8O7sDa/OXrCvYy/p3EREVc6tW8DKlUBQEPDokXx1dOggLrPo6QnUry9fHUREVVBaThq2XNmCkOgQHI0/CgHSP9Bw4PYB3E+7z2XGiUgvVOuwDACmTp0KpVKJGTNmlBiYvThWKBRYvHgxvvzySxmrJSIiIqKKiH0Ui+ALwQiLDcPjjMclXhMcHYwl/ZZI+nBU23pt0btpb5y6e0p1ztzIHFM7TYW3szf6NevHh7GIqHrLyQG2bRP3Ijt0SL46TE2BqVPFkKxPH3aRERG9pKCwAIfjDiM0JhRbrmxBZl6mTucrFAqxNnYt3un9jk7nISKSgmxhma+vb6XO16JFC9y4cUPtTYqXg7P69evjwYMH5apLoVAgMDBQslqJiIiISHPPs55jbexaBF8IRuSDyDKvv/n8Jk7ePYm+zfpKWod3Z2+cunsKA+wHwMfZB5M6ToKFsYWkcxARVTnXrokBWUgI8PSpfHU4OorLLM6aBVhby1cHEVEVdOnxJYRGhyIsNgz30yp338iQ6BC83ettPjhGRFWeQihtIy8dMjAwqPR/JDXZs6w8YyoUChQUFJS3LKpBLl26BAcHB9XxxYsX0alTJxkrIiIi0k/5hfnYf2s/gi4EIeJaBHILcrW639fZF4HjpH3YKS0nDU8yn6CldUtJxyUiqnKys4HNm8W9yI4fl68OMzNg+nQxJOvenV1kREQveZLxBOsurkNodKhGD5TpUtT8KDg3dpa1BiLSD3K+fy77MowyZXXFVJU6iIiIiOjVrjy5gqALQVgdsxoP0x+We5yNlzfil5G/wNzYXLLaLE0sYWliKdl4RERVzqVLYhdZaCiQlCRfHS4uYkA2cyZgZSVfHUREVUx2fjZ2Xt+J0OhQ7Lm5R23fXrn0t++P7PxsucsgIiqT7GFZZXaX6aqzjIiIiIh0JykrCRsubUDQhSCcSTwjyZjpuenYfGUzvDp7STIeEVG1lZkJbNwohmSnTpV9va5YWIhLLM6dC7i6ylcHEVEVIwgC/r73N0KjQ7H+0nokZyfLXRJa120NLycveDh5oIV1C7nLISLSiOxhWVUJm8pTB9faJSIiItKNgsICHLx9EMHRwdh6ZStyCnIknyP4QjDDMiKiV4mOFpdZXLMGSEmRr47u3cUusmnTxMCMiIgAAHFJcQiLCUNoTChuPr8pdzmoY1oH0zpNg1dnL/Sy68X3TYlI78gelhERERERvXD92XUEXwhGaHQoEtMSdTrXkfgjiEuK49OuREQvpKcD69eLIdnZs/LVUbs24OEhdpF17ixfHUREVUxKdgo2Xd6E0JhQHL8j456R/8/QwBAjW4+EV2cvjGk7BqaGpnKXRERUbgzLiIiIiEhWqTmp2HhpI4IuBOHU3cpd4is0OhSfDPykUuckIqpyIiPFgGztWjEwk0ufPmJANmUKYGYmXx1ERFVMcnYyXtv1GrZe3Vol9v9ybeIKr85emO4wHQ3NG8pdDhGRJBiWEREREVGlKxQKcSTuCIIuBGHLlS3Iys+SpY6Q6BB8POBjGCgMZJmfiEg2KSliOBYQAERFyVeHtTUwezYwZw7QqZN8dRARVWFWJlY4efekrEGZjaUNPBw94NnZEw4NHWSrg4hIVxiWEREREVGlufX8FkKiQxASHYKElARZazFWGqObbTek5qSijmkdWWshIqoUggCcPi12kW3YAGRmylfLgAFiF9mkSYApl+0iIiqNgcIAnk6e+PLPLyt1XjMjM0zsMBFeTl4Y3GIwlAbKSp2fiKgyMSwjIiIiIp1Kz01H+KVwBEcHV4m9FbradIWPsw+mO0xH3Vp15S6HiEj3kpKAsDAxJLt4Ub466tcHvL3FLrJ27eSrg4hID1VWWKaAAoNaDIKXkxcmdpgISxNLnc9JRFQVyB6WKRQKuUsgIiIiIokVCoX4886fCLoQhE2XNyEjL0PWehqaN4Snkye8nb25bAwR1QyCAJw4IS6zGB4OZMu4x42bGzBvHjBuHGBiIl8dRER6rF39duhp1xN/3/tbN+PXawevzl7wcPJAs9rNdDIHEVFVJmtYJgiCnNMTERERkcTik+MRGh2K4AvBiEuOk7UWIwMjjG03Fj7OPhjeajiMlEay1kNEVCmePQNCQ8UusqtX5aujUSPAx0fsImvVSr46iIiqES8nL0nDsrq16mKGwwx4dfZCN5tubGogohpNtrCssLBQrqmJiIiISEIZuRnYcmULgi4E4Uj8EbnLgUtjF3g7e2Om40zUN6svdzlERLonCMDRo2IX2ebNQG6uPHUoFMDw4WIX2ZgxgBEfUiAiktI0h2l4Y+8byCvMK/cYRgZGGN12NLycvDC67WgYK40lrJCISH/JvgwjEREREem3o/FH4bXNS9Ya6pvVh4ejB7ydvdG5cWdZayEiqjSPHwPBwWJIdvOmfHXY2AB+foCvL9C8uXx1EBFVEXkFedh/az/62feDlYmVZOPWrVUXY9uNxZYrW7S+t7ttd3g5eWGawzQ+UEZEVAKGZURERERUIcNbD0dji8Z4mP6wUudVKpQY3XY0fJx9MKrNKD4VS0Q1Q2EhcOiQuMzitm1Afr48dRgYAKNGiV1kI0cChnx7gYhqNkEQcOHhBYRGh2LtxbV4nPEYge6B8HXxlXQeLycvjcOyplZN4enkCc/Onmhfv72kdRARVTf8apaIiIiIKsTQwBCeTp74/tT3lTKfQ0MH+Dj7YJbjLDSyaFQpcxIRye7BAyAoCFi5EoiTcU/IZs3+10VmZydfHUREVcT9tPtYE7MGoTGhuPj4otprodGhkodlI9uMRH2z+nia+bTE182NzDG542TM7jwbA5oPgIHCQNL5iYiqK4ZlRERERFRh3s7eOg3L6taqi5kOM+Ht7I0uTbpw83EiqhkKCoB9+8RlFnfsEI/loFQC7u7A3LnAsGHiMRFRDZaZl4ltV7chJDoEB28fRKFQWOJ1x+4cQ3xyPJrXaS7Z3MZKY8xwmIH/nPmP6pwCCgxpOQRenb0wof0EmBubSzYfEVFNwbCMiIiIiCqsY4OO6G7bHWcSz0g2poHCACNbj4S3szfGth0LE0MTycYmIqrS7t4FVq0CAgPFX8ulRQsxIPP2Bpo0ka8OIqIqoFAoxPE7xxEaHYrwy+FIz03X6L7V0avx8YCPJa3Fq7MX/nPmP+jYoCNmd56NmY4zYWfFbl8ioopgWEZEREREkvDu7C1JWNahfgf4OPvAw8kDTSyr35uzKSnA6tXA5s3AvXtAejpgYSGuZjZpEuDlBVhJtw88EemL/Hxg925xL7I9e8S9yeRgZASMHy/uRTZ4sLg3GRFRDXbt6TWsjlmN1TGrkZCSoPX9oTGh+Kj/R5KujODaxBUX5l+AUyMnrrhARCQRhmVEREREJInpDtPx1r63kFOQo/W9tU1qY4bDDPi4+KCbTbdq+U3/3f9j777DoroSNoC/Q+8oCKJg70jXaOwae+8VGJoYUzfZZLNJdlPcL8luyibZlhgQgQHsJRqNvSTRxMRCVUQRLKgIAiq9zf3+uAvrKCDlDpcZ3t/z+CR3uPec12zWwLxzzrkBfPghEBsLFBc//vX0dOD4ceDNNwF/f+Dtt4Fu3Vo9JpFOUAtq5JXkyR2jTvYW9k07H+bqVXEF2fr1wK1bWsv1RP36iavIAgIAR0f5chARtQH5pfnYnLIZ0YnR+PXmry0aKz0/HaeyTmFEtxESpQMUCgU8nTwlG4+IiFiWEREREbUr2UXZiE2KxY7UHTiiPAJzY3PJxu5o3hHzBs7D5vObG3W/AgpM6TMFgV6BmDdwHsyMzCTL0tacPCke95Of/+R7i4uBtWuBrVuB3buBkSO1n49I1+SV5MHxs7ZZ6OS8ngMHS4eGb6qsFP8PHh4OHDwICELrhHuUqam4pDU0FBg3DtDDDyoQETVWRXUF9l3eB1WSCt+lfYdKdaVkY6sSVZKWZUREJD2WZURERER6rqK6Ansu7UFkQiT2Xd6HaqEaALDz4k6scF8h6VxBXkFPLMv62fVDkFcQ/D3928XZCidPApMmAWVlTXsuLw+YOBE4fBgYNUo72YiolaWnA+vWAVFRwJ078uUYNEjcZtHfH7C3ly8HEZHMBEHAmVtnoEpUYWPKRuSVamfV8qbzm/DltC95Bi8RURsmW1nm4+NT5+sKhQJnz55t5TTS0MffExEREemu+NvxiEqIQlxyXJ0/+EclRElelk3qPQnO1s64WXhT43VrE2ssc1uGQK9AjHAZoZfbLNblxg1xRVlTi7IaZWXA3LlAfDy3ZCTSWeXlwLffimeRHT0qXw4zM2DJErEkGzmSq8iIqF27cf8G4pLjoEpUIfVuqtbnu1d2D3su7cFC14Van4uIiJpHtrIsISEBCoUCwn+3m6j5e11+40Qff0/NUV5ejvj4eKSmpqKgoAClpaWwsbGBo6MjfHx80LdvX0n+mVRVVeHXX39FSkoK8vLyYGhoiC5dumDIkCEYPHiwBL8TIiIi3ZNbnIu45DhEJUQh8U5ig/cezjiM6/evo7ttd8nmNzQwhNJTib+e+CsUUOCZXs8gyCsI8wfNh4WxhWTz6IqPPmrc1osNycsTx/n6a2kyEVErSUsTt1mMjgbu3pUvh4eHuM2iry/QsaN8OYiIZFZUUYQdqTugSlThaOZRCGjdLXBVSSqWZUREbRi3YSTJnD17Fl988QW2bduG8vLyeu9zdnZGSEgIfve738HOzq7J8xQVFeFvf/sbvv76a+TX8+7TgAED8Mc//hGBgYHtrqwkIqL2p7K6EvvS9yEyIRJ7Lu1BlbqqUc8JEBCTGIM/jf2TpHmCvYNhbmQOpacSPTr0kHRsXfLgARATI81YsbHAxx8DNjbSjEdEWrRtK7B+M/Djj/JlsLAAli8XV5E99RRXkRFRu1Wtrsaxq8egSlRhe+p2lFSWyJbl+8vfI7c498nnWhIRkSwUgiDPScIGBgaPlRg1q7Cqq6vliNRi+vh7agy1Wo23334bn376KdRqdaOf69y5M6KiojBt2rRGP5OcnIy5c+ciMzOzUfdPnToVmzdvhq2tbaPn0Kbz58/Dzc2t9jolJYWr4IiIqNmS7yQjKiEKscmxyCnOadYYfe364tKLl/jhEi3497+Bl16SdrwXXpBuPCJdllucC8fPHOWOUaecTwAHud6L9fERC7Lly9muE1G7diH3AlSJKsQmxT62PbgcOlt2hq+7L/4w6g9wsnKSOw4RUZsl5/vnsq8se3jLQn2hj7+nhjz77LNYt27dY69bWFigT58+MDc3R15eHjIyMvBwN3vnzh3MnTsX3377LaZPn/7EedLS0vDMM8/g7iNbmFhZWaF3794oLS3F1atXUVlZWfu1AwcOYPr06Th69CjMzMxa8LskIiJqG/JK8rAxZSMiEyJx7va5Fo+Xnp+OkzdOYnT30RKko4dt3y7teNu2sSwjojpYWwMrVohbLQ4ZIncaIiLZ5JfmY2PyRkQlRuHMrTNyx4GZkRnmDZwHpYcSk/tMhpGB7G/DEhFRA/inNLXItm3bHivKXF1d8emnn2LKlCkwMvrfv2K5ubn4+uuv8eGHH6KiogIAUFFRgYCAAKSlpaFjA/vnV1VVYfHixRpFmZ2dHb744gssX74cxsbGAID8/Hx8/vnn+Otf/1q7yu2XX37BG2+8gX/+85+S/b6JiIhaU5W6CgfSDyAqMQq703ajorpC0vEj4yNZlmlBVpa0492U/0PRRNSWDB8uFmRLlwJWVnKnISKSRZW6CgevHERUQhR2pe2S/Pvk5hjTfQyUnkosdl0MW7O2sdMRERE9GcsyapE1a9ZoXA8dOhTHjx+HpaXlY/c6ODjg3XffxejRozF16lRUVYnnqeTm5mLt2rV466236p1n/fr1SE5Orr3u2LEjfvrpJ7i6umrcZ2dnhw8++ACurq7w9fWtff3rr7/GSy+9hH79+jXr90lERCSHC7kXEJUQhZikGGQXZWttni0XtuCf0/8JS5PH//tNzVdUJO14hYXSjkdEOsjWFvD3F0syDw+50xARyebi3YuISoiCKlGF20W35Y6DPh37QOmphJ+HH3p37C13HCIiagYDuQOQ7srIyEBKSorGa1999VWdRdnDnnnmGYSEhGi89t1339V7f0VFBT744AON1z777LPHirKHrVixAn5+frXXVVVVeP/99xvMRURE1BYUlBZg7Zm1GL5uOAZ/NRif/vypVosyACiqKML2VIn3DCTJF3pYW0s7HhHpkFGjgOho4NYt4F//YlFGRO1W8p1kjIgYgUH/GYSPT34sa1Fma2qLVT6rcDL4JC6/dBnvjnuXRRkRkQ5jWUbNlpaWpnHt4uKCp556qlHPLly4UOM6PT293nsPHDiAGzdu1F737NkTQUFBT5zj/fff1zg3buvWrbh//36j8hEREbWmanU1DqQfwPLty9Hl713w3N7n8NvN31o1Q1RCVKvO1x64uEg7nrOztOMRURtnZwe88gpw/jxw4gSgVAIWFnKnIiKSlZOVk6znkRkqDDGr/yxsWbQF2a9n45vZ32Bkt5Ea7z8REZFuapPbMAYHB8sdgRohPz9f47pbt26NfrZ79+4a1/fu3av33l27dmlcBwUFNeqbkD59+mDcuHE4fvw4AKCyshLff/89li9f3uicRERE2nQp71Lt9jE3C+U9kOpU1inkleTB3sJe1hz6ZOFC4L/fhkhi0SLpxiKiNmz8eHGbxQULADMzudMQEbUpDpYOmN1/NnZe3Nmq83o7eSPAMwDL3ZfD0dKxVecmIqLW0WbKMkEQav8aHR0tc5rmq/l9tAe2tpqHlJaWljb62Ufv7dSpU7337t27V+N6ypQpjZ5n8uTJtWUZAOzZs4dlGRERyepB+QNsTtmMqMQo/HzjZ7njYLjzcAR5BWGp21J0MOsgdxy9olQCb74JFBe3fCwrK/GYIiLSUw4OQGAgsHIl0L+/3GmIiNq0QK/AVinLulh1gZ+HH/w9/OHe2V3r8xERkbzaTFn2sPZUOOkyLy8vjevU1FQUFxc/8cwyAPjtN82tpYYNG1bnfXfu3EF29v/OaTE1NYWPj0+jM44aNUrjOiEhodHPEhERSUUtqHEs8xgiEyKxI3UHSqsa/wETbehi1QX+Hv4I9ArEIIdBsmbRZzY2YsG1dm3Lx/LzE8cjIj0zaRKwahUwdy5gYiJ3GiIinTC973Q4WjoipzhH8rHNjcyxYNACKD2VmNhrIgwNDCWfg4iI2qY2WZbp6j6/7a3kc3FxwciRI/Hzz+Kn4svLy/HPf/4Tb731VoPPlZeX48svv9R4LSQkpM57U1NTNa779u0Lkyb8EOnq6qpxnZ6ejqqqKhgZtcl/9YmISM9cyb+C6MRoRCdG4/r967JmMTE0wdwBcxHoFYgpfabAyID/LWwNb78NbN0K5OU1fwx7e3EcItITTk5AUBAQEgL06SN3GiIinWNsaAw/dz98fupzycac0HMClJ5KLBy0ENam1pKNS0REuqNNvkvS3konXfbxxx9j3LhxUKvVAIB3330XXbt2RUBAQJ3337t3D/7+/hol2OzZszF79uw6709LS9O4bsq5aADg4OAAMzMzlJWVAQAqKiqQmZmJfv36NWkcIiKixiqqKMLW81sRlRiFH6/9KHccDO06FIGegVjmtoznkcmgWzdg1y5x8ch/vx1pEjMzYPducRwi0mEKBTBtmngW2axZgLGx3ImIiHRakHdQi8uy/vb9ofRQws/DDz069JAoGRER6ao2WZaR7hg9ejT+/e9/44UXXoAgCKiqqkJgYCD+85//YMGCBRgwYADMzc1x9+5d/Prrr9iwYQPy8/Nrn588eTI2btxY7/g5OZpL6l1cXJqcsWvXrsjIyNAYU4qyLCcnB7m5uU16Jj09vcXzEhFR23U44zDmbZqH4koJDqlqAUdLR/h7+CPAM4DnK7QBo0YBhw+Lu6w1ZYWZvb1YlI0cqb1sRKRlzs7iCrLgYKAH34glovZHEAT8evNXDHceLulOUm6ObhjadSjO3DrTpOc6mnXEcrflUHoqMcx5mM7ubkVERNJjWUYt9txzz2HAgAF4+eWXcf78eQDA6dOncfr06Xqf6d27N9544w2EhobCwMCg3vuKioo0rhtzHtqjHn3m0TGb66uvvsKaNWskGYuIiPSDt5M3KtWVssxtZGCE2f1nI8grCNP6ToOxIVcttCWjRgHx8cBHHwExMUBxA32qlZV4Rtnbb3NFGZFOMlAAs2eJZ5FNmwZwC3giaoeu3btWux15RkEGfl35K4Y5131efXMFegY2qiwzMjDCzH4zofRUYma/mTA1MpU0BxER6Qd+106SeOaZZ3D69Gm8++67+OKLL1BdXV3vvd27d8frr7+OFStWNFiUAY8XW2ZmZk3OZm5u3uCYREREUrG3sMecAXOw7cK2VpvTy8kLgZ6BWOG+Ag6WDq02LzVdt27A118DH38sFmbbtgE3bwKFhYC1tbgAZdEiwN8fsLGROy0RNdu5eKCfp9wpJHP/vvhn1vbtQFYWUFQklvouLsDChYBSyT+ziEhUUlmCHak7EJkQiaOZRzW+FpUQJXlZttx9OX5/8PeoqK6o8+uenT0R5BXE75OJiKhRWJaRJNauXYu//OUvuH379hPvvX79Op5//nn8+c9/xqefforg4OB67y175HAPExOTJmczNdX8xFBpaWmTxyAiImqsQM9ArZdlnSw6wdfdF4FegfBy8tLqXCQ9GxvghRfEX0TUTA18OE92XbvKnUASN24AH34IxMbWvRo2PR04fhx4802x5OdqWKL2SRAE/HzjZ0QlRGHz+c0orCis876NKRvx+dTPYWbU9A9B18fO3A5zB8zF1gtba1+zN7eHr7svgryD+H0yERE1iexlGfcG1m2VlZVYvnw5tm/fXvuanZ0dXnzxRcyaNQv9+vWDpaUl7t69izNnziAyMhLffvstBEFAfn4+QkJCkJqaik8//bTO8R9dSVZRUfenhRpSXl7e4JjN9fzzz2Px4sVNeiY9PR3z5s2TZH4iImqbpvadCicrJ2QXZUs6rqHCEDP7z0SgZyBm9p8JE8Omf4CEiEjn3bgBrF8PxIUBvnKH0V8nTwJz5gAPHTddr+JiYO1aYOtWnrNI1J5kPciCKlGFqIQoXM6//MT775Xdw66Lu7DUbamkOYK8grAjdQdm9JuBQK9AzOo/i98nExFRs8halgmCIOf0JIHnnntOoygbNmwYdu3aBScnJ437unTpgtmzZ2P27NnYvXs3li5dWrtq7LPPPoOrqyuCgoIeG9/Kykrj+tGVZo3x6EqyR8dsLkdHRzg6OkoyFhER6Q8jAyP4e/jj05/r/iBIU7k5uiHIKwi+7r7obNVZkjGJiHRKVRWwdy8QHg7s2weo1YCF3KH018mTwKRJQFN/9MrLAyZOBA4fFs9pJCL9U1pZil1puxCZEIlDVw5BQNPe14tMiJS8LJvcZzKyfp8FJyunJ99MRETUANnKssjISLmmJokcP34cERERtdeOjo7Ys2cPHBwa3gd6zpw5+M9//oOQkJDa1/7whz9g2bJlj50v9mixVVzX/h9P8OgzUpVlRERE9Qn0CmxRWdbRrCNWuK9AkFcQfLr4cCU+EbVPV68C69YBkZHArVtyp2kXbtwQV5Q14zOKAMTn5s4F4uO5JSORvhAEAb/d/A1RCVHYmLIR98vvN3usQxmHcPPBTTjbOEuWz8jAiEUZERFJQrayLCAgQK6pSSL//Oc/Na5feeWVJxZlNQIDA/Hxxx/j0qVLAIC8vDzs2LEDvr6ae6k8unIrKyuryTlvPfKDNVeDERFRjZScFGy7sA3vjH0HhgaGko3r6uCKYc7D8NvN3xr9jIHCANP6TkOgZyDmDJgDUyPTJz9ERKRvKivFvfzCwoBDhwDuRtKqPvqocVsvNiQvTxzn66+lyURE8rhdeBsxSTGISohC6t1UScZUC2qoElV4a8xbkoxHREQkJdnPLCPdJAgCjh49qvHa7NmzG/28gYEBZs6cWVuWAcCPP/74WFk2YMAAjevr1683KWdOTo7G1o0mJibo3bt3k8YgIiL9klOcgw3JG6BKVCE+Ox4AMKb7GEzsPVHSeQI9AxtVlg3sNBBBXkHw8/BDV+uukmYgItIZ6en/W0WWkyN3mnbpwQMgJkaasWJjgY8/BmxspBmPiFpHeVU5vrv0HSITIrE/fT/UglryOaISo/Dm6De5cwIREbU5LMuoWQoKCnD/vubS+169ejVpjEfvv3nz5mP3DBw4UOP6ypUrqKiogIlJ4w5rTU3V/PRTnz59YGTEf+2JiNqbsqoyfJf2HVRJKuy7vA/VQrXG11VJKsnLsmVuy/DqgVdRXl3+2NdsTW2x3G05Ar0CMcx5GN8sIKL2qbwc2LlTPIvskQ/iUetTqYBm7Hpfp6IisXh74QVpxiMi7REEAedun0NkQiQ2JG9AQVmBVue7lHcJv2T9gpHdRmp1HiIioqZia0DNUl7++Bt/TS2hjI2NNa6rq6sfu8fJyQlOTk7Izs6unffs2bMYMWJEo+Y4efKkxrWXl1eTMhIRke4SBAE/3/gZqkQVNp/f3OD5CtsvbMd/ZvwHVibSnWvZ0bwj5g2ch83nNwMAFFBgcp/JCPIKwtwBc2FubP6EEYiI9NTFi2JBFh0t7tlHbcL27dKOt20byzKituxO0R3EJcchMiESKTkprTp3VEIUyzIiImpzWJZRs9jb2z/22q1bt5q0uuzRlWT1nXc2c+ZMRERE1F4fOnSo0WXZoUOHNK6bslUkERHppoyCDMQkxiAmKQZXCq406pniymLsTN0Jf09/SbMEeQXh3O1zCPQKhNJTCRcbF0nHJyLSGaWlYhsTFgb89JPcaagOzTgeukF1bBxCRDKrqK7A3kt7EZUYhe8vf48qdZUsOTalbMKX076EhbGFLPMTERHVhWUZNYuJiQm6dOmC27dv17529OhRhISENHqMI0eOaFz36dOnzvvmzJmjUZZFRkbinXfeeeKWVVeuXMEPP/xQe21sbIwZM2Y0Oh8REemO+2X3sfXCVqgSVfjpevPehI1OjJa8LJvcZzLSXkzjNotE1H6lpIiryGJigALtbu1FLVNUJO14hYXSjkdEzZeYnYjIhEjEJcfhbsldWbNYmVhhsetiFJYXsiwjIqI2hWUZNdvEiRMRGxtbe/3ll18iICCgUdsx/vDDD/jll18eG68uU6dOhYuLC7L++1HHq1evIjIyEsHBwQ3O8f7770MQhNrrhQsXwtbW9onZiIhIN1Spq3DwykGoElXYlbYLZVVlLRrvaOZR3Lh/A91su0mUEDBQGEg2FhGRziguBrZsEUuyR77np7bLSrqdiAEA1tbSjkdETXO35C42JG9AZEIkErIT5I6DCT0nINArEAsHLYSliaXccYiIiB7Dd3Co2fz8/DSuU1JS8Pzzz0OtVjf4XHp6OlasWKHxWr9+/erdWtHU1BR/+tOfNF57/fXXceHChXrn2LBhg0aRZ2hoiDVr1jSYi4iIdENidiJeO/AaXD53wcwNM7H5/OYWF2UAIEBAXHKcBAmJiNqphATg+eeBrl2B4GAWZTrGReKdgp2dpR2PiJ6ssroS36V9h4VbFqLr37vid/t/J2tR1rNDT7w/7n1kvJyBowFHofRUsigjIqI2i2UZNdvUqVMxYcIEjdfCw8Mxbtw4HDlyBFVVmntf5+Xl4e9//zuGDh2KW7duaXzto48+gqGhYb1zhYSEYPDgwbXXBQUFGDNmDFQqlcY8+fn5eOedd+Dvr7mN1rPPPov+/fs3+fdIRERtw+3C2/j7z3+H51pPeH3jhc9PfY47xXckn0eVqNJYlUxERE9QWCiuIBs2DPD2Br7+GnjwQO5U1AwLF0o73qJF0o5HRPVLyUnB6wdfR7cvumHOpjnYkboDlepKWbJYGFsgwDMAxwKO4crLV/De+PfQq2Pjz7cnIiKSi0LgO0LUAtnZ2Rg5ciQyMzMf+5qVlRV69eoFc3Nz5OXlISMjo843IF977TV89tlnT5wrNTUVo0ePRn5+/mPz9OnTB6WlpcjMzERlpeY3hMOGDcPx48dhbm7exN+d9M6fPw83N7fa65SUFI0SkIiI/qeksgS7Lu6CKkmFg1cOQi00vHJZKqdDT2No16GtMhcRkU4SBODsWSAsDNi4UfrDrhoh1wJwfKPVp22UnNdz4GDpIHeMJnvwQFwUWFzc8rGsrICbNwEbm5aPRUR1u1d2D3FJcYhKjMKZW2fkjoMx3ccgyCsIi1wXwdqU+7ASEVHzyPn+Oc8soxZxcnLCDz/8AKVSiePHj2t8raioCMnJyfU+a2xsjP/7v//DG2807qfcQYMG4ejRo5g7dy6uXbumMU9iYmKdz0yaNAlbt25tE0UZERE9mVpQ48T1E4hOiMbWC1tRWFHY6hmiE6JZlhER1eX+fWDDBrEkS0iQL4e9PRCwCMA38mXQQzY2gL8/sHZty8fy82NRRqRt1+5dw4v7XpQ1QzebbgjwDECAVwD62vWVNQsREVFLcRtGarFu3brhyJEj2LJlC8aPHw8Dg4b/tbK1tcVzzz2H5ORk/PGPf4RCoWj0XJ6enkhOTsZbb72Fjh071ntfv379EB4ejoMHD6JDhw6NHp+IiORxOe8y3j32Lvr8sw/GRY3D+oT1shRlALAxZSMqqitkmZuIqM0RBPHsseBgcdnR88/LV5RNmCCWdVlZwF/+T54Meu7tt8UusiXs7cVxiEi7PJ084eXk1erzmhmZwdfdF4f8D+HqK1fxf8/8H4syIiLSC1xZRpIwMDDA4sWLsXjxYhQWFuLMmTPIyMjAvXv3UFZWBhsbG9jb28PDwwOurq5PLNQaYm1tjY8++ghr1qzBr7/+ipSUFOTl5cHQ0BBdunSBj48P3N3dJfzdERGRNhSUFmDz+c1QJarwS9YvcseBsYExZg+YDaWHEgYKfp6IiNq5ggIgJkY8jywlRb4cDg5AUBCwciXQr9//Xi+W5wMV+q5bN2DXLmDSJKCsrOnPm5kBu3eL4xCR9gV6BuKV7FdaZa6R3UYi0DMQSwYvga2ZbavMSURE1JpYlpHkrK2tMWHCBEyYMEGr8xgbG2P06NEYPXq0VuchIiLpVFZXYn/6fqiSVNidtrtNrOB62uVpKD2UWDJ4CewtWvhxeiIiXSYIwIkT4jaL27Y1ry2RyuTJwKpVwJw5gImJfDnaoVGjgMOHgblzgby8xj9nby8WZSNHai8bEWny9fDFHw79AZXqyiff3AzO1s5QeioR4BmAAZ0GaGUOIiKitoJlGREREWmVIAg4d/scVIkqbEjZgLsld+WOhO623eHv4Q+lpxL97fvLHYeISF537wLR0cC6dcDFi/LlcHISt3sMCQF695YvB2HUKCA+HvjoI3GBYXFx/fdaWYlnlL39NleUEbW2ThadMKv/LOy8uFOyMU0NTTFv4DwEeQVhUu9JMDQwlGxsIiKitoxlGREREWnFzQc3EZsUC1WSChdyL8gdB1YmVljsuhhKTyXG9hjLrRaJqH1Tq4Hjx8VtFnfsACpkWumrUADTpwOhocDMmYCxcaMes7ewR87rOVoO1zz6skq5Wzfg66+Bjz8WC7Nt24CbN4HCQsDaGnB2BhYtAvz9ARsbudMStV9BXkGSlGXDnIch0DMQy9yWoaN5/WfEExER6SuWZURERCS56IRoBO0KggBB1hwGCgNM7j0ZSk8l5g2cBwtjC1nzEBHJ7s4dICpKXEWWni5fDhcXcQVZcDDQvXuTHzdQGMDB0kELwehRNjbACy+Iv4ioZQRBgEKhkHTMaX2nwdHSETnFTf8AgZOVE/w9/BHgGYDBjoMlzUVERKRrWJYRERGR5EZ3Hy1rUTbYYTACPAPg6+GLrtZdZctBRNQmqNXiIVRhYcCuXUBVlTw5DA3F1WOrVgHTponXRETtQGZBJqIToxGXHIcfA39EF+suko1tbGgMfw9//P2XvzfufgNjzB04F4GegZjadyqMDPjWIBEREcCyjIiIiLSgj10fjOo2CidvnGy1OR0sHODr7gulpxJeTl6Sf2qXiEjn3LoFREaKq8iuXpUvR48ewMqVQFCQuHcfEVE7UFxRjG0XtiEqMQrHrx6vfT02KRZ/GPUHSecK8Ax4Ylnm08UHQV5BWO62XG+2iyUiIpISyzIiIiLSigDPAK2XZaaGppg7cC6UHkpM6TMFxoaNO+uGiEhvVVcD+/eLZ5Ht2SNey8HICJg7VzyLbPJkwIDnRBKR/hMEASeun0BkQiS2XtiKooqix+6JTIjE6yNfl/SDXe6d3TGkyxCcvX1W43UHCwf4efgh0CsQHp09JJuPiIhIH7EsIyIiIq1YPHgxXtr3EsqryyUfe1S3UQjwDMDiwYvRwayD5OMTEemcGzeAiAhg/Xrx7+XSp49YkAUGAp07y5eDiKgVXb9/HapEFaISonCl4EqD96beTcXpW6cxzHmYpBmCvIJw9vZZGBkYYVb/WQj0DMSMfjP4YTIiIqJGYllGREREWtHBrAPmDpyLLee3SDJerw69oPRUwt/DH33s+kgyJhGRTquqAvbuFc8i279fPJtMDsbGwIIF4llk48dzFRkRtQsllSXYmboTUYlROJJxpEnn9UbGR0peli13X46K6gr4evjC0dJR0rGJiIjaA5ZlREREpDVKD2WLyjIbUxssHbwUSk8lRnUbxXPIiIgAIDPzf6vIbt+WL8eAAeIqMqUScHCQLwcRUSsRBAG/ZP2CqIQobD6/GQ/KHzRrnI0pG/HFtC9gZmQmWTY7czu8OuJVycYjIiJqb1iWERERtXOF5YXYkboD8dnx+HLal5KOPaXPFDhaOiKnOKfRzxgqDDG171QoPZSYM2AOzI3NJc1ERKSTKiqA3bvFs8gOHQKExq9gkJSpKbB4sViSjRkD8EMMRNQO3HxwU9xmMTEKl/IutXi8++X38e3Fb7HMbZkE6YiIiEgKLMuIiIjaoWp1NY5mHoUqSYUdqTtQUlkCAHhx2Ivoa9dXsnmMDY2xwm0Fvvz1yyfe6+XkBaWHEsvdl8PJykmyDEREOu3yZWDdOiAqCshp/AcPJDd4sLjNop8fYGcnXw4iolZSVlWGXRd3ITIhEocyDkEtSLvVbVRCFMsyIiKiNoRlGRERUTtyPuc8VIkqxCbH4lbhrce+HpMYgzUT1kg6p9JTWW9Z5mTlBD93P/h7+sOjs4ek8xIR6azycmDnTvEssmPH5Mthbg4sXSqWZE8/zVVkRKT3BEHA6VunEZUQhY0pG3Gv7J7W5jqUcQg3H9yEs42z1uYgIiKixmNZRkREpOdyi3OxMWUjVIkqnL19tsF7VUkqvDf+PRgoDCSb38vJC26ObkjJSQEAmBmZYf7A+VB6KjGp9yQYGfDbESIiAMDFi+I2i9HRQF6efDk8PcWCzNcXsLWVLwcRUSu5XXgbsUmxiEqMwoXcC60yp1pQQ5Wowltj3mqV+YiIiKhhfHeKiIhID5VVlWHPpT1QJaqwL30fqtRVjXru6r2rOHn9JMb0GCNZFoVCgQDPAOy5tAdKTyUWuS6CjamNZOMTEem00lJg2zaxJPvpJ/lyWFoCK1aIZ5ENHcpVZESk98qryvHdpe8QlRCF/en7US1Ut3qGqMQovDn6TSj4Zy4REZHsWJYRERHpCUEQ8EvWL1AlqrD5/OZmbxujSlRJWpYBwGsjXsPrI1+XdEwiIp2WnCwWZDExwL178uUYOlRcRbZsGWBtLV8OIqJWIAgC4rPjERkfiQ0pG5Bfmi9rnuyibFy9dxW9OvaSNQcRERGxLCMiItJ5mQWZiE2KhSpJhfT89BaPt+XCFvxz+j9hbmwuQToRPy1LRASguBjYskU8i+zUKfly2NiIWyyGhgLe3vLlICJqJTnFOYhLikNkQiSSc5JlzaKAApN6T0KQVxDmDZwn6ffcRERE1Hwsy4iIiHTQ/bL72HZhG1RJKvx47UdJx35Q/gC703ZjqdtSScclImq34uPFVWRxccCDB/LlGDFCLMiWLBG3XSQi0mOV1ZXYe3kvohKisPfy3kZvS64tfe36ItAzEEpPJbrZdpM1CxERET2OZRkREZGOqFJX4XDGYagSVdh5cSfKqsq0NpcqScWyjIioJQoLgY0bxZLszBn5cnToACiVYknm5iZfDiKiVpKYnYiohCjEJcchtyRX1ixWJlZYOngpAr0CMarbKO62QERE1IaxLCMiImrjku4kQZWoQlxyHLKLsltlzgPpB5BdlA0nK6dWmY+ISC8IgliMhYWJRVlxsXxZxowRzyJbuBAw5xZfRKTf7pbcxYbkDYhKiEJ8drzccTCh5wQEeQVhwaAFsDThSl4iIiJdoNdlWW5uLrKysnD//n3cv38fhYWFUKvVWplLqVRqZVwiImqfsouysTF5I6ITo5F4J7HV568WqrExeSNeHfFqq89NRKRz7t8Xt1gMCwMSW//P7Fr29kBAALByJTBokHw5iIha0amsUxgbORaV6kpZc/Tq0AsBngEI8ApAzw49Zc1CRERETadXZVlBQQFiYmJw7NgxnD17Fjdv3my1uVmWERFRS5VWlmJ32m6oklQ4kH4A1UK1rHlikmJYlhER1UcQgF9+EbdZ3LwZKC2VL8szz4jbLM6fD5iaypeDiEgGPl18YGtmi7sld1t9bgtjCyx2XYwgryCM6TEGBgqDVs9ARERE0tCLsiwjIwN//vOfsXPnTlRUVAAABEFotfm55zQRETWXIAg4cf0EVIkqbLmwBQ/KH8gdCf3t+yPAMwC+7r5yRyEianvy84GYGLEkO39evhyOjkBQkLiKrG9f+XIQEcnMxNAEvu6++Mev/2i1Ocf2GItAz0Ascl0Ea1PrVpuXiIiItEfny7IvvvgC77zzDkpLSzUKstYqsFqzlCMiIv1xJf8KYpJioEpUIfNeptxxYGduh2WDlyHAKwBPdX2KHwQhInqYIAA//SRus7htG1BeLk8OhQKYPFk8i2z2bMDERJ4cRERtTKBXoNbLsu623cVtFj0D0Meuj1bnIiIiotan02XZ6tWrER4eXltYPfrGnraLLL6RSERETXGv7B62nN8CVaIKJ2+clDsOjA2MMbP/TCg9lJjRbwZMjbh1FxGRhtxcQKUSV5GlpcmXo0sXIDgYCAkBevWq97b798VFb9u3A1lZQFERYGUFuLgACxcCSiVgY9OKuYmIWomXkxc8O3tKftavmZEZFg5aiCCvIEzoNYHbLBIREekxnS3L/vjHPyIsLAyAZmnFlV5ERNSWVFZX4uCVg1AlqbDr4i6UV8u0GuEhw5yHQemhxFK3pehk0UnuOEREbYtaDRw7JhZkO3YAlZXy5DAwAKZPF88imzkTMKr/R7cbN4APPwRiY4Hi4se/np4OHD8OvPkm4O8PvP020K2b9qITEckhyCsIrxx4RZKxRnYbiUDPQCwZvAS2ZraSjElERERtm06WZWfOnMFnn33GkoyIiNq83+3/Hb4+87XcMdDNphv8Pfzh7+mPgZ0Gyh2HiKjtyc4GoqKAdeuAK1fky+HiIp5DFhzcqEbr5ElgzhzxKLUnKS4G1q4Ftm4Fdu8GRo6UIC8RURuxwn0FXj/0OqrUVc163tnaGUpPJQK9AtHfvr/E6YiIiKit08my7Pe//z0EQYBCoWBJRkREbdrCQQtlK8ssjS2xyHURlJ5KjO85ntvGEBE9Sq0GDh0SzyLbvRuoat4brC1maAjMmiWeRTZ1qnjdCCdPApMmAWVlTZsuLw+YOBE4fBgYNaoZeYmIWuDavWvYfH4zXhvxGgwNGvfnXWM4WDpgdv/Z2HlxZ6OfMTU0xfxB8xHoGYhJvSdJmoeIiIh0i86VZRcuXMCJEydYlBERkU4Y33M8XGxckPUgq1XmU0CBSb0nQempxPyB82FpYtkq8xIR6ZSbN4HISHEV2bVr8uXo2VNcRRYUBHTt2qRHb9wQV5Q1tSirUVYGzJ0LxMdzS0Yi0r7yqnJ8e/FbRMRH4HDGYQgQ4NHZA9P6TpN0nkCvwEaVZcOchyHIKwhLBy9FR/OOkmYgIiIi3aRzZdn3338vdwQiIqJGMzQwhJ+7H/528m9ancfVwRVKDyV8PXzhYuOi1bmIiHRSdTWwb594FtmePeKqMjkYGQHz5olnkU2aJJ5N1gwffdS4rRcbkpcnjvO1/LsFE5GeSrqThIhzEYhNjkV+qeYfWhHxEZKXZdP7ToejpSNyinMe+5qTlRP8PfwR6BUIVwdXSeclIiIi3adzZdmRI0cafe/DZ5oRERHJRemp1EpZ1smiE1a4rYDSUwmfLj787x4RUV2uXwciIoD164Gs1lnlW6e+fcWCLCAA6Ny5RUM9eADExEgTKzYW+PhjwMZGmvGIiO6V3cPG5I2IiI/A2dtn671v18VdyC3OhYOlg2RzGxsaw8/dD5+f+hwAYGJogjkD5iDQMxBT+06FkYHOvQ1GRERErUTnvkvIyspq1JuBNfdwq0YiIpLbIIdBeKrrUzh963SLx6r5gV/pocS0vtNgbGgsQUIiIj1TWQns3SueRbZ/PyDXzwQmJsCCBWJJNn58s1eRPUqlAoqLJRkKRUVi8fbCC9KMR0TtkyAI+OHaD4iIj8C2C9tQVvXkPWIr1ZWITYrFqyNelTRLkHcQjl87jiCvICx3Ww57C3tJxyciIiL9pHNlWU7O40vpH/ZwSWZgYAAvLy+4ubnB2dkZtra2sLS0hLGxMYyNjaFQKGAg0Q+sREREDVF6KltUlo1wGQGlpxJLBi+BnbmdhMmIiPRIZqZ4Dtn69UB2tnw5BgwAVq0ClEqgUyfJh9++Xdrxtm1jWUZEzXPzwU1EJ0Zjffx6XCm40uTnI+Ij8MrTr0i6Q4KboxvOrqp/RRsRERFRXXSuLCsoKKj3awqFonYl2fz58/HFF1+ge/furRWNiIh0mCAIOHv7LFSJKhgoDPDltC8lHX+Z2zK8euBVVKmrGv1MD9seUHoq4e/hj372/STNQ0SkNyoqgF27xLPIDh2SL4epKbB4sViSjR4NaHFrXKl3k7x5U9rxiEi/VVZXYs+lPYiIj8C+9H1QC80/A/J87nn8dvM3DHcZLmFCIiIioqbTubLMwsIChYWFj71eU5QpFAqsWLECMVJt4k9ERHrtxv0biEuOgypRhdS7qQAAC2ML/N+E/4O1qbVk83Sy6ISZ/WZiV9quBu+zNrHGksFLoPRUYnT30TBQcAU0EVGdLl8WC7KoKCA3V74cbm7iNot+foBd66z8LSqSdrw6frwiInrMxbsXEXEuAqokFXKKG971pyki4iNYlhEREZHsdK4sc3BweKwse3i5vqWlJb766qvWjkVERDqkqKIIO1J3QJWowtHMoxCgeZZNSWUJdqTuQIBXgKTzKj2VdZZlBgoDTOkzBUoPJeYOnAsLYwtJ5yUi0htlZcDOneJZZMePy5fD3BxYtkxcRTZ8uFZXkdXFykra8ayl+2wIEemZoooibDm/BRHxEfj5xs9amWNTyiZ8MfULWJpYamV8IiIiosbQubLM1dUVV65ceWw/65pVZTNnzoQ1f9ojIqJHVKurcezqMagSVdieuh0llSUN3q9KUklels3sNxN25nbIL80HALg7uiPAMwAr3Fegi3UXSeciItIrqaniKrLoaCA/X74cXl5iQbZiBWBrK1sMFxcgPV268ZydpRuLiHSfIAg4lXUKEfER2Hx+M4oqJF7O+ojCikJsvbAVgV6BWp2HiIiIqCE6V5aNHj0a3333Xb1f79OnTyumISKitu5C7gXEJMYgNjkWWQ8af8jLscxjuH7/OrrbSnf2pamRKV546gUUVRQhwDMAnk6eko1NRKR3SkuBrVvFkuzECflyWFkBy5eLJdmQIa2+iqwuCxdKu7Bu0SLpxiIi3ZVTnANVogrr49fXbk/eWiLiI1iWERERkax0riybPXs2/vjHP9b79bKyslZMQ0REbVFucS42pWyCKkmFM7fONGsMAQJik2Lx9pi3Jc32lwl/kXQ8IiK9k5wsbrMYGwvcuydfjqeeEs8iW7asze1TqFQCb74JFBe3fCwrK8Dfv+XjEJFuqlJX4UD6AUTER+C7S9+hSl0lS44T108g7W4aBnQaIMv8RERERDpXlg0cOBBjxozBTz/9BIVCAUHQPGcmIyNDpmRERCSnsqoy7L20F6okFb6//L0kP+irElV4a/Rbj239S0REEisuBjZvFkuyX3+VL4eNDeDnJ5ZkXl7y5XgCGxux4Fq7tuVj+fmJ4xFR+3Il/wrWx69HVGIUbhXekjXLhJ4TEOIdIumODkRERERNpXNlGQC8++67mDx5ssZrNcXZoUOHUFJSAgsLC5nSERFRa1ELavx07SfEJsVi64WtuF9+X9Lx0/LScPrWaQxzHibpuERE9F/nzonbLMbFAYWF8uUYMULcZnHxYsDSUr4cTfD22+IulXl5zR/D3l4ch4jah9LKUmxP3Y6I+Agcv3pc1izO1s4I9ApEkFcQ+tjxOA0iIiKSn06WZRMnTsTChQuxffv22pKs5lP/JSUl+Oyzz/Duu+/KnJKIiLTlfM55xCbFIi45Djce3NDqXKpEFcsyIiIpPXgAbNwolmRnz8qXo2NHcXlWaCjg5iZfjmbq1g3YtQuYNAlozk70ZmbA7t3iOESkvwRBwLnb5xARH4ENyRsk/3BZUxgZGGHOgDkI8Q7B1D5TYWhgKFsWIiIiokfpZFkGAGFhYTh16hRu3bpVW5TVFGcffvghRowY8djqMyIi0l23Cm9hY/JGxCbHIiE7odXm3ZiyEZ9P/RwmhiatNicRkd4RBOD0aXGbxU2bpDlsq7nGjhULsoULAXNz+XJIYNQo4PBhYO7cpq0ws7cXi7KRI7WXjYjklV+aj7ikOETERyDxTqKsWQZ1GoQQ7xD4e/rD0dJR1ixERERE9dHZsqxjx47Ys2cPxo0bh8KHtmxRKBSorKzErFmz8OWXX+K5556TMSUREbVEYXkhdqTuQGxyLI5kHIEA4ckPSSy/NB/fX/4e8wbOa/W5iYh03r174haLYWFAUpJ8OeztgcBAYOVKYOBA+XJowahRQHw88NFHQExMwz2klZV4Rtnbb3NFGZE+UgtqHMk4goj4COy8uBMV1RWyZbEyscKywcsQ4hOC4c7DeQYwERERtXkKQRBa/51HCf3444+YPXs2ioqKAKB2S8aav3p4eOD111/H3LlzYWVlJXNaau/Onz8Pt4e2+UlJScHgwYNlTETU9lRWV+LglYOITY7Frou7UFpVKnckBHoFInJupNwxiIh0gyAAP/8sbrO4ZQtQKuOf4888I55FNm8eYGoqX45W8uCBWJht2wbcvCkeA2dtDTg7A4sWibtO2tjInZKItOXqvavo9Y9esmYY1W0UQrxDsHjwYliZ8D0YIiIiaho53z+XbWWZSqWSbCx/f3989dVXGp9UqinMEhMToVQqYWpqCm9vb3h4eKBHjx6wsbGBpaWlZJ9uUiqVkoxDRNQeCYKA327+htikWGw6vwl3S+7KHQnmRuZYMGgBlJ5KTOw1Ue44RERtX16e2NSEhwMXLsiXw9ERCAoSV5H17StfDhnY2AAvvCD+IqL2p2eHnpjYayKOZB5p1XkdLR0R4BmAYO9gDOykX6t3iYiIqP2QrSwLDAyUfBl+zSK5mlVlNYWZIAgoKyvDqVOncOrUKUnnrMGyjIio6dLz0xGXFIfY5Fik56fLHQcAML7neCg9lFjouhA2pvz4PRFRgwQB+PFHcZvF7duB8nJ5cigUwJQp4llks2cDJjxnkojapxDvkFYpywwUBpjRbwZCvEMws99MGBsaa31OIiIiIm2S/cwybe0CWTPuw4Wctubi3ttERI13t+QuNqdsRmxyLE5laecDDE3Vz64fAjwD4Ofhhx4desgdh4io7cvNBaKjxVVkly7Jl6NLFyAkRPzVs6d8OYiI2oj5g+ajo1lHFJQVaGX8vnZ9EewVjACvAHS17qqVOYiIiIjkIHtZJlXRVF8R9nBppo1SS8ePfCMiajXbL2xHdGI09qXvQ5W6Su446GjWEcvcliHAMwDDnIfxgw9ERE+iVgNHj4oF2c6dQGWlPDkMDIDp08WzyGbMAIxk/5GGiKjNMDMyg6+7L/59+t+SjWluZI5FrosQ4h2CsT3G8vtmIiIi0kuy/2TZWmWTNubhN4hERI23Ln4d9qfvlzWDkYERZvabCaWnEjP7zYSpkamseYiIdEJ2NhAZCaxbB2RkyJejWzdxBVlwsPj3RERUpxCfEEnKsqFdhyLEOwTL3ZbD1sxWgmREREREbZfsZRkREbUPfu5+spVlQ7sORYBnAJYOXgoHSwdZMhAR6ZTqauDQIfEssu++A6pkWhFsaAjMmiWuIps6VbwmIqIGeTl5waeLD87dPtfkZ+3M7eDn7ocQnxB4dPbQQjoiIiKitollGRERtYp5A+fB0tgSxZXFrTJfd9vuWOG2Av6e/nB1cG2VOYmIdN7Nm8D69eIqsuvX5cvRsyewciUQFAR05Zk4RKSf0u6mYX38eqz0WYl+9v0kHTvYK7jRZZkCCkzqPQkh3iGYN3Aed18gIiKidollGRERtQpLE0vMHzQfsUmxWpvD1tQWSwYvgZ+HH0Z3Hw0DhYHW5iIi0htVVcC+feJZZHv3imeTycHICJg3DwgNBSZNEs8mIyLSM0UVRdh6fisi4iNw8sZJAOIRD3+b9DdJ51nhvgKvHXwN5dXl9d7T3bY7gryCEOQVhB4dekg6PxEREZGuYVlGREStxs/dT/KyzNjAGLP6z4Kfhx9m9JsBMyMzSccnItJb164BERHiSrKbN+XL0bevWJAFBACdO8uXg4hISwRBwK83f0XEuQhsOr8JRRVFGl+PTozGB898ACMD6d6i6WjeEQtdF2JD8gaN100MTTB/4HyEeIfgmV7PwNCA29sSERERASzLiIioFU3sPRGdLTvjTvGdFo81pvsY+Hn4YZHrItiZ20mQjoioHaisBPbsEc8iO3AAEAR5cpiYAAsWiGeRjRvHVWREpJdyi3MRkxSDiPgIXMi9UO992UXZ+P7y95gzYI6k84d4h9SWZR6dPRDiHQJfd1/YW9hLOg8RERGRPpC9LFMoFHJHICKiOqTdTYOFsQW62XaTbEwjAyMsd1uOL3/9slnPD+w0EP4e/ljhvgI9O/SULBcRkd7LyBDPIYuMBLKz5csxcKC4ikypBDp1ki8HEZGWVKurcfDKQUTER2B32m5Uqisb9VxEfITkZdn4nuPx5qg3sdB1IYZ0GcL3X4iIiIgaIGtZJsj1SVYiIqpTTnEONqVsQmxSLE7fOo3fP/17/H3q3yWdw8/Dr0llWWfLzljhvgJ+Hn7wdvLmD/lERI1VUQF8+614Ftnhw/LlMDMDFi8WS7LRowH+OU5EeiijIAOR8ZGISoxC1oOsJj+/99Je3C68jS7WXSTLZKAwwF8n/VWy8YiIiIj0mWxl2bFjx+SamoiIHlJcUYxdabsQmxSLg1cOolqorv3ahpQN+GTyJ5KeZeDTxQcDOw3ExbsX673H0tgSCwYtgJ+HH57p9Yyk5zcQEem9S5fEgiw6GsjNlS+Hm5u4zaKfH9Cxo3w5iIi0pLSyFDtSdyAiPgLHrrbsPY5qoRqqRBX+OPqPEqUjIiIioqaQ7d3HcePGyTU1EVG7V6WuwtHMo4hNisWO1B0oriyu877somwczTyKyX0mSza3QqGAn7sf/nzszxqvGygMMKXPFPh7+GPugLmwNLGUbE4iIr1XVgbs2CGeRfbDD/LlsLAAli4VS7Lhw7mKjIj00rnb5xBxLgIbUjbgXtk9ycZdn7Aeb4x6gzspEBEREcmAH9UnImonBEFAfHY8YpNisTFlI7KLGndmTWxyrKRlGQCscF9RW5Y91fUp+Hn4Yengpehs1VnSeYiI9N6FC+IqMpUKyM+XL4eXl1iQrVgB2NrKl4OISEsKSgsQlxyHiPgIJGQnaGWOS3mXcPLGSYzuPlor4xMRERFR/ViWERHpuav3rmJD8gbEJsUi9W5qk5/fkboDX834StKVXr069sLamWsxruc4DOw0ULJxiYjahZISYOtWsSQ7eVK+HFZWYjkWGgoMGcJVZESkd9SCGscyjyEiPgI7UnegvLpc63NGxEewLCMiIiKSAcsyIiI9VFBagK0XtiI2KRY/Xf+pRWMVVRRhd9puLHdfLlE60bNDn5V0PCIivZeYKBZksbHA/fvy5XjqKXEV2bJlYmFGRKRnbty/gciESEQmROLqvautOveW81vwj2n/gI2pTavOS0RERNTesSwjItIT5VXl2Ht5L2KTYrH38l5UVFdINnZscqzkZRkRETVCURGwebN4Ftlvv8mXw8YG8PMTV5F5ecmXg4hIS8qryrE7bTci4iNw8MpBCBBkyVFSWYJtF7Yh2DtYlvmJiIiI2iuWZUREOkwtqHHi+gnEJsVi64Wtkh4w/rAD6QeQU5wDR0tHrYxPRESPOHtWXEW2YQNQWChfjpEjxYJs8WLAUrrteImI2oqUnBREnItAbHIs7pbclS2HgcIA0/pOQ4h3CGb1nyVbDiIiIqL2SifLsuDghj9htXDhQsycObOV0hARtb4LuRcQmxSLuOQ4XL9/XevzVQvV2JyyGS8Nf0nrcxERtVsPHojlWHg4cO6cfDk6dgSUSmDlSsDNTb4cRERa8qD8ATalbEJEfAR+uynjql0AvTv2RrBXMAK8AuBi4yJrFiIiIqL2TCfLsqioKCgaOEC8b9++kpZl33//Pb799tt6v65QKPDNN99INh8RUV1uF97GppRNiE2Oxbnbrf8mamxyLMsyIiKpCYK4vWJYGLBpE1BSIl+WsWPFs8gWLADMzeXLQUSkBYIg4MT1E4iIj8DWC1tRUinfn7dmRmZYOGghQrxDMK7nOBgoDGTLQkREREQinSzLagjC43uIN1SiNVd8fDzWrVtX59iCILAsIyKtKSwvxM6LOxGXHIfDGYehFtSyZfnt5m+4lHcJ/e37y5aBiEhv3LsHxMaKJVlysnw5OnUCAgLEVWQDB8qXg4hIS7KLshGdEI31CetxKe+SrFl8uvggxDsEK9xXoINZB1mzEBEREZEmnS7LHi2v6irPpNYacxBR+1alrsLBKwcRmxSLby9+i9KqUrkjwcjACNP7Tkd5VbncUYiIdJcgACdPitssbtkClJXJl2XiRPEssnnzAFNT+XIQEWmBWlBjz6U9iIiPwN5Le1EtVMuWpaNZR/i6+yLEJwReTl6y5SAiIiKihul0WfZwcaWNFWV1kaOgIyL9JwgCztw6g9ikWGxM2Yjckly5IwEARriMgJ+HH5YMXoJOFp3kjkNEpJvy8gCVSizJUlPly+HoCAQHAyEhQN++8uUgImoFr+x/BZn3MmWbf1LvSQjxDsG8gfNgZmQmWw4iIiIiahydLsvkIEdBR0T6K6MgA3FJcYhNjpV9W5ga/ez6wc/DD77uvuhj10fuOEREukkQgB9+ELdZ3L4dqKiQJ4dCAUyZIq4imz0bMDGRJwcRUSsyUBgg2DsY7xx7p1Xn7WbTDUFeQQjyDkLPDj1bdW4iIiIiahmWZaSzCgsLcfLkSVy6dAkPHjyAubk5evTogZEjR6Jr165yxyOqV15JHjaf34zYpFj8kvWL3HEAAA4WDljmtgx+Hn54qutT/DAAEVFz5eQA0dHiKrLLl+XL0bXr/1aR9ewpXw4iIpkEegXivePvaf3MX2MDY8wbOA8h3iGY1HsSDA0MtTofEREREWkHy7JG4FaLdQsMDER0dLQkY/Xo0QNXr15t1L2ZmZl49913sWXLFlTU8SlthUKBcePGYc2aNRg7dqwk+YikcjnvMly/ckWVukruKDA3Mse8gfPg5+GHyb0nw9jQWO5IRES6Sa0GjhwRC7JvvwUqK+XJYWAAzJghriKbMQMw4rf6RNR+udi4YGqfqdiXvk8r47s5uiHEOwR+Hn7crpyIiIhID/An6EYoLS2VO4LeM2nklkBbtmxBUFAQSkpK6r1HEAQcP34c48ePxxtvvIG//vWvXCVDbUZfu77o3bG3bFsuGigMMLHXRPh5+GH+wPmwNrWWJQcRkV64fRuIjATWrQMy5TsXB926iSvIgoPFvyciIgBAiHeIpGWZtYk1lrstR4hPCHdjICIiItIzLMsa4caNG3JH0HuzZs164j1bt27F8uXLoVZrbqPh4OCAbt26IScnBzdv3qxdCSgIAj7++GOUl5fjiy++0EpuoqZSKBTwc/fDu8ffbdV5vZ284efhh2Vuy9DVmtuUEhE1W3U1cPCgeBbZd9+J13IwNBTPIAsNBaZOFa+JiEjD7AGz4WDhgNyS3BaNM7bHWAR7BWOR6yJYmlhKlI6IiIiI2hKWZY1w4sQJfmKsDm+88Qb8/Pya/Nzly5fx/PPPa7wWGBjY4DNXrlxBUFCQRlHm6emJL774AhMmTKh9LS0tDW+//TZ27NhR+9qXX36JMWPGYMGCBU3OSqQNvh6+rVKWdbftDl93X/i6+2Kw42Ctz0dEpNeysoD164GICOD6dfly9OwpFmSBgeK5ZEREVC8TQxP4e/jj81OfN/lZJysnBHoGItg7GP3s+2khHRERERG1JSzLnuCTTz7B1atXoVAoNM4ue7g8MzAwkCOa7FxdXeHq6trk544ePapx7e3tDQ8Pjwafeeedd1BcXFx7/dRTT+Hw4cOwsbHRuG/AgAHYtm0bVq9ejbCwsNrX33jjDcyZMwdGPLuD2oDeHXtjZLeR+PnGz5KPbWtqiyWDl8DPww+ju4+GgaJ9/vlERCSJqirg++/Fs8i+/148m0wORkbAvHnAqlXAxIni2WRERHokITsBEeciMKLbCKxwXyHp2CE+IY0uywwVhpjVfxZCvEMwvd90GBnw50ciIiKi9qLNfOf3ww8/4IcffpBkrKNHj6KqqqrZz1dVVSEnJwc//fQTLl68+FhR9igrK6tmz9XeqNVqxMTEaLz2pFVl58+fx+bNm2uvTUxMEB0d/VhRVkOhUOAf//gHjh07hsuXLwMQV6ZFRkYiNDS0Zb8BIon4uftJVpYZGxhjZv+Z8HP3w8z+M2FmZCbJuERE7da1a+IKsogI4NYt+XL07SuuIgsIADp3li8HEZEWFJQWYEPyBkTERyA+Ox4AcPrWacnLMlcHVzzt8jROZZ2q957+9v0R4h0CpacSTlZOks5PRERERLqhzZRlx48fx5o1axq93eGj5dXD51QdO3YMx44da3GmmjGflKm+0oYed/jwYWRlZdVeGxsbY8WKhn8YWr9+vcb2i8uWLcOgQYMafMbMzAxvvvkmQkJCal9bt24dyzJqM5YMXoKX97+MKnXzi/3R3UfDz90Piwcvhp25nYTpiIjaocpK8Qyy8HDgwAGggQ9KaZWJCbBwoViSjR8PcCtwItIjakGN41ePIyI+AjtSd6Csqkzj67/e/BXnc85LvoV4iHfIY2WZhbEFlgxeghDvEIzqNopHLxARERG1c22mLKvR0Aqu1hyjRkOrympet7Pjm9SNFR0drXE9a9YsdOrUqcFndu/erXH9cAHWkKVLl+Lll1+u3b7x9OnTuHXrFrryfA9qpLS7aYhLjsOW81vwU9BPcLB0kGxsewt7zOg3A7vTdj/55ocM7DQQ/h7+WOG+Aj079JQsDxFRu3XlCrBuHRAZCdy5I1+OgQPFgkypBJ7wvRERka7JepCFqIQoRCZEIqMgo8F7I+Ij8PnUpp8x1pClg5filf2voLiyGMOdhyPEOwRL3ZbCxpQffCUiIiIiUZsryxrzaa4nlWFSfiKsMXO5ublJNp8+e/DgAXbu3Knx2pO2YExLS0N6enrttaWlJUaOHNmo+WruPXToEADxf8u9e/dydRk1KKc4B5tSNiE2KRanb52ufX3L+S14YdgLks7l5+7XqLKss2VnLHdbDj8PP/h08eGnXomIWqq8HNi1CwgLA44ckS+HmRmweLF4FtmoUVxFRkR6paK6At+lfYeI+AgcuHIAaqFx5z7GJMXgb5P+BhNDE8myWJtaY92cdXB3dJd81RoRERER6Yc2V5YBLV8ZJuXKssYYOnRoq86nq7Zs2YLS0tLaa0dHR8yYMaPBZxISEjSuhw0bBiOjxv9rO2rUqNqyrK7xiACguKIYu9J2ITYpFgevHES1UP3YPbHJsZKXZbP6z4KNqQ0elD947GsWxhZYMGgB/Nz9MLH3RB4uTkQkhbQ0cRVZVBRw9658OdzdxVVkfn5Ax47y5SAi0oILuRcQcS4CMUkxyC3JbfLzd0vuYnfabixyXSRprmVuyyQdj4iIiIj0C999lcCECRPkjqAToqKiNK59fX2fWHylpqZqXLu6ujZpzkfvf3Q8ar+q1dU4knkEsUmx2JG6A8WVxQ3efyrrFNLz09HXrq9kGcyNzbFo0CKsT1gPADBQGGBKnynwc/fD3IFzYWViJdlcRETtVlkZsH27uIrsxx/ly2FhASxbJpZkw4dzFRkR6ZXC8kJsPr8ZEfERj50N1hwR8RGSl2VERERERA1hWdYMNeeYKRQKDB06FB4eHnJHavPS09Nx8uRJjdeCgoKe+FxaWprGdbdu3Zo076P3PzoetS+CICAhOwGxSbHYkLIB2UXZTXo+LikO741/T9JMfh5+SMpJgp+7H5a6LYWTlZOk4xMRtVvnzwPh4YBKBRQUyJfD21vcZnHFCsCGZ+MQkf4QBAE/3/gZEfER2HJ+yxM/fNYUB9IP4Mb9G+hm27Sf/4iIiIiImotlWQu9/vrrckfQCdHR0RrXPj4+cHd3f+JzOTk5GtcuLi5NmtfZ2VnjOje36duA1CcnJ6fJ4z18/hq1nqv3rmJD8gbEJcfhQu6FZo8TmxyLd8e9K+mZYRN6TcDp0NNPvpGIiJ6spATYulVcRfbzz/LlsLISy7FVq4AhQ+TLQUSkBXeK7kCVqEJEfATS8rTzYUQBAqISovDOuHe0Mj4RERER0aNYljVRzZvkCoUC/v7+WLx4scyJ2j5BEKBSqTReCwwMbNSzRUVFGteWlpZNmvvR+ysrK1FeXg5TU9MmjVOXr776CmvWrGnxOKQdBaUF2HphK2KTYvHT9Z8kGTM9Px2/3fwNw12GSzIeERFJJDFRLMji4oD79+XLMWyYuM3ismViYUZEpCeq1FXYd3kf1iesx55Le1ClrtL6nOsT1uNPY/8EA4WB1uciIiIiImJZ9gR1rSARBAHTpk3D2rVrZUike44ePYrr16/XXpuYmGDFihWNevbRsszMzKxJc5ubm9c5phRlGbU95VXl+P7y94hNjsWeS3tQUV0h+RyxSbEsy4jakfv3gZgY8cirrCygqEjsQFxcgIULAaWSO+vJpqgI2LRJLMlOy7hC18YG8PcXSzJPT/lyEBFpwdV7VxFxLgLrE9bjVuGtVp/7WOYxTOw9sVXnJSIiIqL2qU2WZU/a4kwQhBY931QPz+fi4oI///nPWLVqlaRz6LNHt2CcNWsW7O3tG/VsWVmZxrWJiUmT5q6rFCstLW3SGNS2qQU1Tl4/idikWGy5sAX3yu5pdb5N5zfh86mfw9jQWKvzEJG8btwAPvwQiI0Fius4giU9HTh+HHjzTbEnefttoInHalJznT0rFmQbNoiFmVxGjhS3WVy8GLCwkC8HEZHEKqsrsTttN8LPhePglYMQ0PDP39q0PXU7yzIiIiIiahVtrix7UhHWWmPUsLOzw4ABAzB8+HBMmzYNEydOhKGhoWTj67uioiLs2LFD47XGbsEIPL6SrKKiaSuFysvLnzhmcz3//PNN3oYzPT0d8+bNk2T+9i41NxWxSbGIS47DtfvXWm3euyV3cfDKQczsP7PV5iSi1nXyJDBnDpCf/+R7i4uBtWvFY7J27xb7E9KC+/fFciw8HIiPly9Hx47icsLQUGDwYPlyEBFpQXp+OtadW4eohCjcKb4jWw5jA2PMGTAHId4hmNJnimw5iIiIiKh9aTNl2SuvvNKoEkUQBPTu3RsKhUKjFKu5VigUeO211/DCCy80O4uhoSFMTEzQoUOHJq9kIk1bt25F8UMfye/cuTOmT5/e6OetHjnv49GVZk9S1yqyR8dsLkdHRzg6OkoyFjXO7cLb2JSyCbHJsTh3+5xsOWKTY1mWEempkyeBSZOAJv7nBnl5wMSJwOHDwKhR2snW7ggC8OuvYkG2aRNQUiJflnHjxIJs4UJAog/dEBG1BeVV5fj24rcIOxeGo5lHZc0y2GEwQrxD4OfhBwdLB1mzEBEREVH702bKMltbW9ja2koyVocOHdCjRw9JxqKWiYqK0rj29fWFkVHj/7V7tNgqrmsvrAY8er+RkZFkK8uodRRVFGFn6k7EJsficMZhqAW13JFwNPMoKqsruRUjkZ65cUNcUdbUoqxGWRkwd6648IlbMrZAQYG4/2V4OJCcLF+OTp2AwEBg5UpgwAD5chARaUHa3TSEnwtHdGI07pbclS2HlYkVlrstR4h3CIY5D5P8SAUiIiIiosZqM2UZ6Z+MjAz89NNPGq81ZQtGAI+t3MrKymrS8zdv3tS4dnDgJxR1QZW6CoeuHEJsciy+vfgtSiplXE3wX0YGRpjWdxp83X0xZ8AcFmVEeuijjxq39WJD8vLEcb7+WppM7YYgACdOiAXZ1q3NbyylMHGieBbZ3LlAHWefEhHpqtLKUmxP3Y7wc+H48dqPsmYZ3X00QrxDsNh1MSxNLGXNQkREREQE6HhZxk+dtW0qlUpjq0wfHx+4u7s3aYwBj3yS+/r16016/tH7Bw4c2KTnqfUIgoAzt84gNikWm85vQk5xjtyRAABPuzwNP3c/LBm8hNvBEOmxBw+AmBhpxoqNBT7+GLCxkWY8vZaXB6hUQFgYcPGifDk6dwaCgsRVZH36yJeDiEgLzuecR/i5cKgSVSgoK5AtR2fLzgjwDECwdzAGdOKKXSIiIiJqW3S6LKO2SxAEqFQqjdeCgoKaPM6j5daFCxea9HxqamqD45H8MgoyEJcUh9jkWFzKuyR3HABAn4594OfhB193X/Sz7yd3HCJqBSoV0MSdfutVVCQWby04PlW/CQJw/Li4imz7dqCiQp4cCgUwdap4Ftns2YAxVwwTkX567/h72J66XZa5DRWGmNFvBkK8QzCj3wzuzkBEREREbZZOlmXdu3dvcFVZhw4dWi8M1emHH35AZmZm7bWJiQlWrFjR5HG8vLw0rk+fPo2qqqpGn3t28uTJBscj+ey7vA8f/PQBfr7xs9xRAAD25vZY5rYMfh5+GO48nCtXidqZ7RK/h7htG8uyx+TkAFFRYkmWni5fjq5dgZAQIDgY6NlTvhxERK0k1Ce01cuyfnb9EOwdjADPAHSx7tKqcxMRERERNYdOlmVXr16VOwI9QXR0tMb17NmzYWdn1+RxBg4ciD59+uDKlSsAgOLiYvz8888YO3bsE58tLi7GL7/8UnutUCgwa9asJmcg7XhQ/kD2oszMyAxzB8yFn4cfpvaZyk+6ErVjTTwS84keOTKz/VKrgSNHxG0Wv/0WqKqSJ4eBATBjhngW2fTpQCM/dENEpA8m95mMHrY9cO3+Na3OY25kjiWDlyDEOwSju4/mh8+IiIiISKfwnQKSXHFxMbZt26bxWmBgYLPHmzNnDr744ova64iIiEaVZZs3b0ZRUVHt9dChQ9G1a9dm5yBpzR4wG9Ym1iisKGzVeRVQ4Jlez8DPww8LBi2AjSkPFSIicetEKRW27h9tbc/t20BkJLBuHfDQSvNW1737/1aRubjIl4OISEYGCgOs9FmJd469o5XxhzkPQ4h3CJa5LeP31kRERESkswzkDkD6Z/v27RollZOTE6ZNm9bs8YKDgzU+lbhp06bHziJ7VFlZGf72t79pvBYSEtLsDCQ9C2MLLHRd2GrzeXb2xKeTP8WNV2/gsPIwAr0C+cM8EdWyspJ2PGtracfTCdXVwPffA/PmAd26AX/6kzxFmaEhMH++mCUjA3j3XRZlRNTuBXkFwUAh3Y//duZ2+N3w3yFpdRJ+XfkrVg1Zxe+tiYiIiEincWUZSS4qKkrj2tfXt9FnjNXFzc0NS5YswebNmwEAFRUVCAgIwOHDh2Fj8/gPZIIg4JVXXsHly5drX+vduzeCg4ObnYG0w8/dD1EJUVob38XGBb7uvvB194V7Z3etzUNEus/FRdpjtJydpRurzbtxA1i/HoiIEP9eLr16AaGhQGAg0IXn4xARPczZxhmz+s/C7rTdLRpnfM/xWOWzCvMHzYeZkZlE6YiIiIiI5MeyjCR17do1HD9+XOO1lmzBWOODDz7Ad999h5KSEgDA6dOnMXbsWHz55ZcYP3587X2XLl3CW2+9hR07dmg8/7e//Q3GxjyPqq0Z33M8ulp3xa3CW5KNaWNqg8Wui+Hn4YexPcZK+glaItJfCxcCj/znq0UWLZJurDapqkpcuRUWBuzbJ55NJgdjY3El26pVwDPPiGeTERFRnUJ9QptVljlYOCDQKxArfVaiv31/LSQjIiIiIpIfyzKSlEqlgiAItddDhgyBm5tbi8ft27cvIiIisGLFitrxExMTMWHCBDg4OKB79+7IyclBVlaWxvwA8NJLL2Hx4sUtzkDSMzQwxAq3Ffjsl89aNI6xgTFm9JsBPw8/zOo/i59yJaImUyqBN98EiotbPpaVFeDv3/Jx2qSrV8VzyCIjgVvSfdChyfr1E1eRBQQAjo7y5SAikpggCDhx/QQyCjIQ4BUg6djT+k6Di40Lsh5kNer+Sb0nYZXPKswdOBcmhiaSZiEiIiIiamt0riy7desW/vznP8sdA8bGxrCwsECHDh3Qo0cPDBgwAEOGDIGJSfv+ISI6OlrjWopVZTWWLVsGQRAQEhKC0tLS2tdzc3ORm5tb5zOvv/46PvnkE8kykPT8PPyaXZaN6jYKfh5+WOy6GPYW9hInI6L2xMZGLLjWrm35WH5+4nh6o7IS2L0bCA8HDh4EHvlQSqsxMRGX7IWGAuPGAQ+dZ0pEpOvultyFKlGF8HPhuHj3IqxNrLHIdREsTSwlm8PIwAjBXsH4y49/qfceJysnBHkFIcQ7BH3s+kg2NxERERFRW6cQHl2G08adP38e7u7uULTBN0hMTEwwYsQILFu2DMuWLavzPC19duLECYwZM6b22sTEBLdv34adnZ2k82RkZOCdd97B1q1bUVlZWec9Y8eOxV/+8heMGzdO0rlb6vz58xor7VJSUjB48GAZE8lPEAR4rPVASk5Ko+4fYD8Afh5+WOG+Ar079tZyOiJqT27cALy9gby85o9hbw/ExwPdukmXSzbp6eIqsqgo4M4d+XIMGiRus+jvL/4DJiLSE2pBjeNXjyP8XDh2pO5ARXWFxtfXz1mPIO8gSee8fv86en7ZEwL+9zaAAgpM6zsNoT6hmNV/FowNuX09EREREclDzvfPdbosa4vRa0o8GxsbvPjii3j77bdhbm4ucyr99ODBA5w4cQKXL19GYWEhzMzM0L17d4waNQrOzs5yx6sTy7K6fXziY7x55M16v+5o6Yjlbsvh5+GHIV2GtMmynIj0w8mTwKRJQFlZ0581MwOOHAFGjpQ+V6spLwe+/VY8i+zoUflymJkBS5aIJdnIkVxFRkR65U7RHUQlRGFd/Dqk56fXe9/TLk/jl5BfJJ9/RtwM7EvfB2drZ4R4hyDYOxg9OvSQfB4iIiIioqZiWdYEbXllGQCNAk+hUKBHjx6Ijo7WWHFF7RfLsrrduH8D3b/srvGahbEF5g+cDz8PP0zqPQlGBjq3aywR6aiTJ4G5c5u2wszeXtypUGeLsrQ0cZvF6Gjg7l35cri7iwWZry/QsaN8OYiIJKYW1DiccRhhZ8OwK20XqtRVjXouaXUS3Du7S5rllxu/IK80D9P6TuP32ERERETUpsj5/rlOf2fc1no+hUKhUeIJgoCrV69i0qRJ+OqrrxASEiJjOqK2q5ttN4zvOR4/XvsRk3tPhp+HH+YNnAcrEyu5oxFROzRqlLiV4kcfATExQHFx/fdaWYlnlL39tg5uvVhaCmzfLpZkP/4oXw4LC2D5cvEssmHDuIqMiPTKrcJbiIyPxLr4dbh672qTnw8/F45/Tv+npJlGdBsh6XhERERERPpAp8uytubRVWU1xVllZSWeffZZGBgYIChI2j3nifTFv6b/C50sOsHJyknuKERE6NYN+Ppr4OOPxcJs2zbg5k2gsBCwtgacnYFFi8RjtHTuiNKUFLEgi4kBCgrky+HjI64iW75cB/8hEhHVr1pdjf3p+xF+Lhx7Lu1BtVDd7LFikmLw8aSPYW7Mrf2JiIiIiLSJZZmW1BRnNaWZWq3Gs88+i/79+2PUqFEypyNqe9wc3Z58ExFRK7OxAV54Qfyl00pKgC1bxLPIfpH+/JtGs7YGVqwQV5ENGSJfDiIiLbhx/wYi4iOwPn49bjy4IcmY98ruYduFbfD39JdkPCIiIiIiqhvLMi0TBKG2MKuqqsLy5ctx4cIFWFlxezkiIiLSsoQEcRVZbCzw4IF8OYYPFwuypUvFvSuJiPRElboKey/tRdi5MOxP3w+1oJZ8jrBzYSzLiIiIiIi0jGVZK6gpzADg5s2bWLNmDT799FOZUxEREZFeKiwENm0SS7LTp+XLYWsr7lMZGgp4eMiXg4hICzILMmtXkd0uuq3VuU5cP4HU3FQMchik1XmIiIiIiNozlmWtSKFQQBAE/Pvf/8Zrr70GJyeezUREREQSEATg7Flxm8WNG4GiIvmyjBolnkW2aBFgYSFfDiIiiVVUV2B32m6EnwvHoSuHIEB48kMSCT8Xjs+nft5q8xERERERtTc6XZbVrNaqUXNO2JPue5KWjFPfsw+vLquoqMC//vUvfPjhh03KRURERKTh/n1gwwaxJEtIkC+HnR2gVIqryFxd5ctBRKQFl/MuY925dYhKjEJOcY4sGVSJKvx14l9hamQqy/xERERERPpOZ8uy+kqphz1cbjXm/ppnap579JknjVHzbEP31Xw9OjqaZRkRERE1nSAAp06J2yxu3gyUlMiXZfx4sSBbsAAwM5MvBxGRxMqryrHz4k6EnQ3DsavHZMthZmSGpYOXYtWQVTAxNJEtBxERERGRvtO5smzAgAHIzMzUeO3YsWN4/vnnUV5eDkBzFZcgCLC0tMSMGTMwdOhQuLu7o1OnTrC2toaBgQHu37+Pu3fvIiUlBadPn8b333+P4uJijdKsZhxjY2N8/vnnmDVrFqqqqpCfn4/8/HycO3cOJ06cwKFDh1BVVdVg2Vbztdu3b+Onn37CmDFjtPbPioiIiPRIQQEQEyOWZCkp8uXo1AkICgJWrgT695cvBxGRFly8exHhZ8MRnRiNvNI82XJ4dPbAKp9V8PXwRQezDrLlICIiIiJqL3SuLDMyMkKPHj1qr1UqFZ599llUVVXVvlazeqtTp074y1/+AqVSCYsnnJkxbdo0AEBJSQmioqLw/vvv4+7du7XllkKhQGVlJV555RUoFAo8//zz6NOnDwBg6tSpAIDr16/jww8/RHh4eKO2bDx48CDLMiIiIqqfIAAnTojbLG7bBpSVyZdl0iTxLLK5cwETrm4gIv1RWlmK7anbEXY2DD9d/0m2HJbGlljmtgyrhqzCU12favJxAkRERERE1Hw6V5Y9LDo6GsHBwbUruGpKMoVCgZEjR2L37t2ws7Nr0pgWFhZ4/vnnsXTpUsyZMwe//PKLxrjV1dV46aWXYGRkhFWrVmk82717d3zzzTcYM2YMQkJCagu8+rZl/OGHH5rxuyYiIiK9d/cuoFKJq8guXpQvh5OTuIosJAT474eEiIj0RUpOCsLPhkOVpMK9snuy5RjSZQhWDVmFZW7LYGNqI1sOIiIiIqL2TGfLsp9//hmrVq16bMtFAHB1dcXhw4dh1oKzM+zt7XH48GEMHToUFy9e1FhhJggCXnzxRQwcOBBjx4597Fk/Pz9kZWXh7bffrvPTgDVjJCQkNDsfERER6Rm1Gjh+XCzIduwAKirkyaFQANOmiWeRzZoFGBvLk4OISAuKK4qx5fwWhJ0Lw6msU7LlsDaxhq+7L0KHhMKni49sOYiIiIiISKSTZVlpaSl8fX1RWVn5WBmlUCjwzTfftKgoq2Fubo5vvvkGY8eO1VhdplAoUFVVBX9/f6Smpta5xeMf//hHbNq0CUlJSbXPAprnlhUXF+PGjRvo1q1bi7MSERGRjrpzB4iKAtatA9LT5cvh7CyuIAsOBh7a8pqISF8cv3occzfNxYPyB7JlGO48HKuGrMKSwUtgZWIlWw4iIiIiItJkIHeA5vjkk09w7dq1OldtDRgwACNHjpRsrtGjR2PAgAEAoFF6AUBWVhb+9re/1fmcQqHA6tWrnzj+1atXJclJREREOkStBg4eBBYtAlxcgDfflKcoMzAAZs8GvvsOuHoVWLOGRRkR6S3Pzp6oqG79Vbu2prZ48akXkbg6EadWnkKwdzCLMiIiIiKiNkbnyrKysjL85z//eWzrxZoVW6NHj5Z8ztGjRz927lhNcfbVV1+hrKyszueWLVumsX1jXW7fvi1tWCIiImq7bt0CPvxQPP9r6lRg+3bgv2ectqru3YG//AW4dg3YvVvcbtFIJzccICJqtI7mHbHYdXGrzTe6+2hEz4vGrddu4V8z/gWPzh6tNjcRERERETWNzr0rcuDAAdy9e/exVV41nJycJJ+zS5cuGtcPb6VYUFCAffv2Yf78+Y8916FDB/Tp0wdXrlypd+y7d+9KG5aIiIjalupqYP9+8SyyPXvEazkYGQFz5ohnkU2eDBgaypODiEhGoT6hiEmK0dr4duZ2CPAMwEqflXB1cNXaPEREREREJC2dLMsaUlxcLPmcJSUlDX794MGDdZZlAODl5YX09PR6V5aVlpa2OB8RERG1QTduABERwPr14t/LpXdvsSALDAS08KEiIiJdMrr7aAzsNBAX716UdNwJPScg1CcU8wfNh5lRy8/PJiIiIiKi1qVzZVliYmKDX29oFVdzXbt2rcGvN5TJ3t6+wWfLy8ublYmIiIjaoKoqYO9eICxMXE2mVsuTw9gYmD8fWLUKmDBBPJuMiIigUCgQ6hOK1w6+1uKxHCwcEOQVhJU+K9HPvp8E6YiIiIiISC46V5ZlZGTUuUqrZlvGw4cPo6SkBBYWFpLMV1lZiUOHDjU4Z0ZGRr3P29raNjh+fSvOiIiISIdkZv5vFZmc55H27y+uIgsIABwc5MtBRNSGKT2VeOvIW6iormjW85N7T0aoTyjmDpwLE0MTidMREREREZEcdK4su3///mOvPXyGWGlpKT766CN88MEHksz31Vdf4cGDB/WekQYADx48qPd5wyecByJVqUdEREStrKIC2L1bPIvs0CGgnu8TtM7UFFi0SCzJxo4F+EEcItIjeSV5sDO3k/RDhp0sOmHBoAXYlLKp0c84WTkh2CsYIT4h6N2xt2RZiIiIiIiobdC5sqy6urrer9UUWp988gmeeuopzJ07t0Vz/fbbb/jzn//8xB/MGsqUn5/f4LMsy4iIiHTM5cvAunVAVBSQkyNfDldXcZtFf3/Azk6+HEREElMLahzLPIbwc+HYkboDRwOOYnT30ZLOscpn1RPLMgUUmN5vOkJ9QjGz30wYGxpLmoGIiIiIiNoOnSvLbGxs6iygalaXKRQKVFVVYfHixXjvvffwhz/8ASYmTd8aQ6VS4aWXXkJxcXGDq8pqMtXnSWXZk7ZpJCIiojagvBzYuVM8i+zYMflymJsDS5aIJdmIEVxFRkR6JbsoG1EJUVh3bh2uFPzvLOrwc+GSl2Xje45HX7u+SM9Pf+xrLjYuCPYKRrB3MHp06CHpvERERERE1DbpXFnWu3dv5OXl1bnaq6bQqinM3n33Xaxbtw7BwcFYuHAhXF1dGxz72rVr2LVrF6KiopCYmFhbwNVXlNW83qtXr3rHzMzMbHDO7t27N/h1IiIiktHFi+I2i9HRQF6efDk8PMSCzNcX6NBBvhxERBJTC2ocunIIYefCsDttN6rUVY/ds+X8Fnw59Ut0NO8o2bwKhQKhPqH44+E/AgAMFYaY2X8mVvmswrS+02Bo0PB2+kREREREpF90rizz8vLC6dOnn3hfTcl17do1vP/++3j//fdhYWGBQYMGoVOnTrCxsYFCoUBhYSHy8/Nx8eLF2vPQHi7dGjOPl5dXnV8rLy9HYmJig+P06MFPKhIREbUppaXAtm1iSfbTT/LlsLQEli8XzyJ76imuIiMivXLzwU1EJkRi3bl1uHb/WoP3llWVIS45Di8Oe1HSDAGeAVh3bh2UnkoEeQXB2cZZ0vGJiIiIiEh36FxZNnXqVISHhzd4z8NbMtZcA0BxcTHOnDnT4Kq0Go8+25Bp06bV+Xp8fDwqKys1Vqc9PLeZmRm6dOnyxPGJiIioFaSkiNssxsQA9+7Jl2PIEHEV2bJlQANbPRMR6ZpqdTX2pe9D+Llw7Lm0B2pB3ehnw86G4YWnXmjUBxobq7NVZ6S9mCbpmEREREREpJt0riybOXMm7O3tkZ+f36gtEh8uzWper+uZR39Aaqgke/hee3t7zJo1q8779u/fX2+2hlakERERUSspLga2bBFLslOn5MthbS1usRgaCvj4yJeDiEgLrt+/johzEVifsB5ZD7KaNUZyTjJ+u/kbhrsMlzQbizIiIiIiIgJ0sCwzNTXFiy++iDVr1jTqB5uHS69Hi7OG7m3MuAqFAi+//DJMTEzqvCcuLq7B+YYPl/YHPSIiImqk+Hhxm8W4OODBA/lyPP20WJAtXSpuu0hEpCcqqyux9/JehJ0Nw/70/RDQ+J+16hN2NkzysoyIiIiIiAjQwbIMAP7whz9g/fr1yMrKanB12aOaUobV5+Hyq3v37nj99dfrvO/UqVO4cuVKg/mefvrpFuchIiKiRiosBDZuFEuyM2fky9GhA+DvL5Zk7u7y5SAi0oLMgkysO7cO6xPWI7soW9KxN53fhC+mfQEbU25RS0RERERE0tLJsszCwgKxsbF45plnoFarm1SYtcTD55gZGxsjLi4OZmZmdd7773//u97nAcDAwAATJ07UTlAiIiISCYJYjIWFiUVZcbF8WUaPFs8iW7QIMDeXLwcRkcQqqiuwO203ws6G4VDGIa3NU1JZgg3JG7B66GqtzUFERERERO2TTpZlADBmzBisXbsWoaGhtdsrtkZhVrP9Ynh4OEaOHFnnPZcvX8bmzZtry7FHt2JUKBR4+umnYW9vr/W8RERE7dL9++IWi2FhQGKifDns7QGlUlxFNmiQfDmIiLTgct5lrDu3DpEJkcgtyW2VOcPPhbMsIyIiIiIiyelsWQYAISEhUKvVeP7557W6wuzhFWVGRkYIDw+HUqms9/4PPvgA1dXVDY45e/ZsSTMSERG1e4IAnDolFmSbNwOlpfJlmTBBLMjmzwfqWYVORKSLyqrKsDN1J8LOheH41eOtPv+52+dw9tZZDOk6pNXnJiIiIiIi/aXTZRkAhIaGokePHlAqlcjJydFYxdXS4uzRsbp06YK4uDiMHz++weciIyOxfv36Bu8xNDRsUTYiIiL6r/x8ICZGPIvs/Hn5cjg4AEFBwMqVQL9+8uUgItKC1NxUhJ8LR3RiNPJL82XL4dnZE4UVhbLNT0RERERE+knnyzIAmDJlCpKSkvDqq69i48aNAFC7NWONxhZnj26ZWLPtYlBQED755JNGbZ1oYGDQhPRERETUZIIA/PSTWJBt3QqUl8uXZfJk8SyyOXMAExP5chARSay0shRbL2xF+LlwnLh+QrYclsaWWO62HKuGrMLQrkMf+5mNiIiIiIiopfSiLAMAR0dHxMXF4ZVXXsFHH32EPXv21G6F+Ghx9iQ1xZqxsTHmz5+Pt99+Gx4eHlrJTURERE1w9y4QHS2WZGlp8uVwcgKCg4GQEKB3b/lyEBFpQfKdZISdDUNscizuld2TLcfQrkMR6hOK5W7LYW1qLVsOIiIiIiLSf3pTltV46qmnsHPnTty5cwdbtmzBvn37cPLkSRQWNm6rDltbW4wZMwYzZszAokWL0KlTJy0nJiIiogap1cCxY2JBtnMnUFEhTw6FApg+XTyLbOZMwNhYnhxERFpQXFGMzec3I+xsGH69+atsOaxNrOHn4YdQn1B4d/GWLQcREREREbUveleW1ejcuTNeeuklvPTSSwCAjIwMXLp0Cbdu3UJBQQHKysoAAGZmZrCzs4OzszP69++Pnj17ypiaiIiIat25A0RFiSXZlSvy5XBxEVeQBQcD3bvLl4OISAvO3T6H8LPhiEuOk/UssKddnsYqn1VYMngJLE0sZctBRERERETtk96WZY/q3bs3enObJCIiorZNrQYOHRILsl27gKoqeXIYGoqrx1atAqZNE6+JiPSEIAgIPxeOsLNhOHv7rGw5Oph1gL+HP0J9QuHe2V22HERERERERO2mLCMiIqI27OZNIDISiIgArl6VL0ePHsDKlUBQEODsLF8OIiItUigUWB+/XraibEz3MQj1CcUi10UwNzaXJQMREREREdHDWJYRERGRPKqrgf37gbAwYM8ecVWZHIyMgLlzxbPIJk8GDAzkyUFE1IpWDVnVqmeT2ZvbI8AzACt9VmKQw6BWm5eIiIiIiKgxWJYRERFR67p+HVi/XlxFlpUlX44+fcSCLCAAcHKSLwcRkQyWDl6KV/a/ovVzyib0nIBVQ1Zh/sD5MDUy1epcREREREREzcWyjIiIiLSvshLYu1c8i2zfPkAQ5MlhbAwsWCCeRTZ+PFeREVG7ZWliCV93X6w9u1bysR0tHRHoGYiVPivRz76f5OMTERERERFJjWUZERERaU9mJrBunXge2e3b8uXo318syJRKwMFBvhxERG1I6JBQScuyKX2mINQnFHMGzIGJoYlk4xIREREREWkbyzIiIiKSVkUFsHu3eBbZoUPy5TA1BRYvFrdaHDMGUCjky0JE1Ab5dPHBkC5DcPb22WaP0cWqC4K9gxHiHYJeHXtJmI6IiIiIiKj16H1ZVlBQgPv37+P+/fsoLCyEWq3Wyjxjx47VyrhEREQ64/Ll/60iy82VL8fgweIqMj8/wM5OvhxERDpg1ZBVeHbPs016RgEFpvebjlU+qzCz/0wYGej9j5VERERERKTn9OqnGrVajT179uDYsWM4e/YsEhISUFxcrPV5FQoFqqqqtD4PERFRm1NeDuzYIZ5FduyYfDnMzYGlS8VVZCNGcBUZEemV0spSbDm/BVYmVljoulDSsZe7LcfvD/wexZVP/rnJxcYFId4hCPYORnfb7pLmICIiIiIikpNelGX37t3DJ598gqioKNy5c6f2dUEQZExFRESkx1JTxYJMpQLy8uTL4ekpriJbsQLo0EG+HEREWnDx7kV8c+YbRCdGo6CsAIM6DcKCQQugkPADAdam1ljuthzr4tfV+XVDhSFm9Z+FUJ9QTOs7DYYGhpLNTURERERE1FbofFn27bff4vnnn8edO3ceK8ek/CGyPizkiIio3SgtBbZtE88iO3FCvhyWlmI5FhoKDB3KVWREpFcqqiuwM3Un1p5di+NXj2t8LfVuKn66/hPG9pB2C/jQIaGPlWU9bHsg1CcUQd5B6GrdVdL5iIiIiIiI2hqdLss++OADvPfee7WFVV3lmDbLrNYo44iIiGSXnCyuIouJAe7dky/H0KFiQbZ8OWBtLV8OIiItyCzIRPi5cETERyCnOKfe+9aeWSt5WfZU16fg2dkT53PPY+6AuVg1ZBUm9Z4EA4WBpPMQERERERG1VTpblv3rX//Cu+++C0CztOJKLyIiIgkUFwObN4sl2alT8uWwtgb8/MSSzNtbvhxERFpQpa7C95e/x9oza7E/fT8EPPlnmW0XtuHLaV/C0dJRshwKhQLr566Hs7UzOlt1lmxcIiIiIiIiXaGTZdmlS5fw2muvsSQjIiKSWny8uM1iXBxQWChfjqefFs8iW7JE3HaRiEiP3HxwExHxEQg/F46sB1lNerZSXYmohCi8MeoNSTP5dPGRdDwiIiIiIiJdopNl2R/+8AdUVVVBoVCwJCMiImqpwkJg40axJDt7Vr4cHToA/v7iKjJ3d/lyEBFpgVpQ43DGYaw9sxa703ajWqhu9ljfnP0Gr498ndskEhERERERSUTnyrLMzEx89913LMqIiIhaQhCAM2fEgmzjRnHbRbmMGSMWZIsWAebm8uUgItKC3OJcRCZE4puz3yCjIEOSMTMKMnA44zCm9JkiyXhERERERETtnc6VZfv27ZM7AhERke66d0/cYjE8HEhMlC+HvT0QEACsXAkMGiRfDiIiLRAEASeun8Das2ux7cI2VFRXSD7H2jNrWZYRERERERFJROfKsoMHDzbp/ofPNSMiImqXBAH45RdxFdmWLUBpqXxZJkwQzyKbPx8wNZUvBxGRFtwru4eYxBisPbsWF3IvaHWu3Wm7cfPBTTjbOGt1HiIiIiIiovZA58qyzMzMRt33cEnG7RqJiKhdys8HYmLEkuyCdt+0bZCjIxAYKK4i69dPvhxERFogCALO3DqDtWfWYmPKRpRWtc4HEqqFakTER+Ddce+2ynxERERERET6TOfKstzc3CeuFnv4PDM7OzsMHjwYzs7OsLW1haWlJYyNjWFsbAyFQgEDAx6KTUREekQQgB9/FLdZ3LYNKC+XL8uUKeJZZHPmACYm8uUgItKCoooibEzeiLVn1+Lc7XOyZFgfvx7vjH2Hu2kQERERERG1kM6VZXl5efV+raYkEwQBw4YNw9///neMGjWqFdMRERHJJDcXiI4G1q0D0tLky9GlCxAcDISEAL16yZeDiEhLku8kY+2ZtYhJikFhRaEsGbpad0WoTyhW+qxkUUZERERERCQBnSvLTE1NUVVV9djrNUWZQqHApEmTsGfPHhgbG8uQkIiIqJWo1cCxY+I2izt3ApWV8uRQKIDp08WzyGbOBIx07tsLIqIGlVWVYev5rVh7di1+vvGzbDmm9pmK1UNXY1b/WTAy4J+1REREREREUtG5n7A6deqE4uJijdce/jSliYkJVCoVizIiItJf2dlAVJS4iuzKFflyuLiIK8iCg4Hu3eXLQUSkJZfyLuGbM98gKjEK+aX5smRwsHBAsHcwQn1C0ceujywZiIiIiIiI9J3OlWUDBw7E1atXH9tupGZV2bRp09C5c2eZ0hEREWmJWg0cOiSuItu9G6hjlXWrMDQEZs0SzyKbNk28JiLSI5XVldiVtgtfn/kaRzOPypZjXI9xWD10NeYPnA9TI1PZchAREREREbUHOleWjRgxAvv376/36wMHDmzFNERERFp28yYQGSmuIrt2Tb4cPXqIBVlQENC1q3w5iIi05Nq9awg/F46I+AhkF2XLksHW1BaBXoF4dsizGOQwSJYMRERERERE7ZHOlWWzZ8/Ge++9V+/X1Wp1K6YhIiLSgqoqYP9+cRXZ3r3iqjI5GBkBc+eKZ5FNmgQYGMiTg4hIixKzE/Gno3/C95e/hwBBlgzDnIdh9ZDVWOq2FBbGFrJkICIiIiIias90rizz8vLC0KFDcfbsWSgUCgiC5g+0169flykZERFRC12/DkREiL9u3pQvR58+4iqywECAWxsTUTuw9/LeVp/T0tgSvu6+eHbos/Dp4tPq8xMREREREdH/6FxZBgBvvfUWFi5cqHFuWU1xdvDgQVRWVsLY2FjGhERERI1UWSmuHgsLE1eTCfKsaoCJCbBggViSjR/PVWRE1G54OnniaZencSrrVKvM5+7ojueGPgdfD1/YmNq0ypxERERERETUMJ0sy+bPn4+JEyfiyJEjtSVZTXF27949rFu3Ds8995zMKYmIiBqQkSGeQxYZCWTLczYOAGDAAHGbRaUS6NRJvhxERDJaPWS1VssyU0NTLHVbitVDVuNpl6c1PvRHRERERERE8tPJsgwAoqOj4enpifz8/NofNmuKszfeeAOjRo2Ch4eHzCmJiIgeUlEB7NoFhIcDhw7Jl8PUFFi8WFxFNmYMwDdtiaidWzJ4CV458Aruld2TdNz+9v2xeshqKD2VsLewl3RsIiIiIiIiko7O7rHUtWtXbNu2DSYmJhqvKxQKFBcXY+zYsdi3b59M6YiIiB5y6RLwxhuAiwuwZIl8RdngwcA//gHcugXExABjx7IoIyICYG5sjkDPQEnGMjIwwpLBS3BUeRQXX7iIV0e8yqKMiIiIiIiojdPZsgwAxo0bh40bN2qcT1azJeODBw8wa9YszJ07FydPnpQxJRERtUtlZcCGDcCECeJWh59+CuTmtn4Oc3MgMBD4+WcgORl4+WXAzq71cxARtXHPDn22Rc/3sO2Bj575CDdevYHNizZjQq8J3G6RiIiIiIhIR+jkNow//vhj7d/b2dnhD3/4Az788EONH0ZrtmTcs2cP9uzZA2dnZ4wZMwYeHh7o0aMHbGxsYGlpKdkPsGPHjpVkHCIi0nGpqeI2i9HRQH6+fDm8vMRtFn19AVtb+XIQEemIgZ0GYnzP8Th+9XijnzFQGGBmv5lYPXQ1pvaZCkMDQ+0FJCIiIiIiIq3RybJs/PjxdZZcgiDU/lWhUNQWZgCQlZWFTZs2YdOmTZLnUSgUqKqqknxcfZGWlobExERkZWWhpKQE5ubm6Ny5M/r37w9PT0+Ympo2e+yysjL8/PPPuHjxIgoKCmBiYgIXFxcMHz4cvXv3lvB3QUTUgNJSYOtWsSQ7cUK+HJaWwIoVwKpVwJAh3GKRiPRSSk4KvjnzDd4e8za6WHeRdOzVQ1Y3qizrYtUFK31WYqXPSnS37S5pBiIiIiIiImp9OlmW1agpwhr62sOlWkP3k7QKCwvxr3/9C+vWrUNmZma995mYmGDYsGFYtGgRfve73zV6/NzcXKxZswZRUVEoLi6u854hQ4bgnXfewdy5c5ucn4ioUZKTgbAwIDYWuHdPvhxDh4oF2bJlgLW1fDmIiLSkrKoM2y9sx9qza3HiuvihBCcrJ/xp7J8knWf+oPlwsHBAbknd2+ZO7j0Zq4euxuz+s2FsaFznPURERERERKR7FIIONkgGBgaPrSx70m9DW+cF1Kxiq66u1sr4umjPnj1YuXIl7ty50+hnOnfujOzs7Ebde/z4cSxevBh3795t1P1KpRLh4eEwMTFpdB5tOX/+PNzc3GqvU1JSMHjwYBkTEVGTFRcDmzeLJdmvv8qXw8ZG3GIxNBTw9pYvBxGRFl3Ou4yws2GITIhEXmmexte623ZHxssZkm99+Nbht/C3k3+rvbY3t0ewdzBWDVmFvnZ9JZ2LiIiIiIiI/kfO98/1dmVZS+5tLB7Y/bgvvvgCr7322mP/vM3MzNC1a1d06tQJpaWluH37dqPLroedOHECM2bMQGlpqcbrHTp0QK9evVBQUIAbN25olJcqlQpFRUXYtm0b/zcjouY7d07cZjEuDigslC/HiBFiQbZkibjtIhGRnqmsrsR3l77D12e+xuGMw/Xed/3+dexP34+Z/WdKOn/okFB8fPJjjOo+Cs8NfQ4LBi2AmZGZpHMQERERERFR26LTZRm1LREREfj973+v8dr06dPx8ssvY8KECY+dTXbr1i0cPXoU3377LX777bcnjl9QUIClS5dqFGU9evTAP/7xD8yZM6e2CMvKysIHH3yAb775pva+HTt24IsvvngsHxFRgx48ADZuFEuys2fly9GhA6BUiiXZQ5+uISLSJ9fvX8e6c+uw7tw63C663ahn1p5dK3lZ1rtjb2T+LhM9OvSQdFwiIiIiIiJqu3R6G0a5o9dk4DaMQHp6Otzd3VFWVgYAMDY2RnR0NJYvX96o5wsKCtCxY8cG73n77bfx17/+tfa6V69eOHHiBLp27Vrn/R999BH+9Kf/nWNha2uLzMzMJ86jTdyGkUgHCAJw+rS4zeKmTeK2i3IZM0Y8i2zhQsDcXL4cRERaUq2uxoErB7D2zFrsvbwXakHdpOcVULDYIiIiIiIi0hNyvn9u0CqzkN5btWpVbVEGAHFxcY0uygA8scDKzc3Fv/71L43XwsPD6y3KAOCtt97C2LFja6/v37+Pzz77rNGZiKiduXcP+M9/AC8vYPhwICJCnqLM3h74/e+BCxeAH38E/PxYlBGR3skuysZHP32EPv/sg5kbZuK7S981uSgDAAEC1p1bp4WERERERERE1J6wLKMW27VrF44dO1Z7vXjxYixevFjSOTZt2oSioqLa67Fjx2LixIkNPqNQKPDee+9pvLZ+/XrZVyQSURsiCMDJk0BgINC1K/Dii0BSkjxZnnlG3PLx5k3g738HBg2SJwcRkZYIgoCjmUexZOsSdPuiG/509E+4dv9ai8ddF78OldWVEiQkIiIiIiKi9opnllGLhYWFaVw/WlBJYdeuXRrXISEhjXpuwoQJ6NWrFzIzMwEA2dnZOHXqFEaMGCF5RiLSIXl5QEyMeBbZhQvy5XB0BIKCgJUrgb595ctBRKRF+aX5iE6Ixtqza3Ep75Lk42cXZWN32m4sdF0o+dhERERERETUPuh0WaZQKOSO0O7dvHkTBw4cqL328vKSfA/RoqIi/PjjjxqvTZkypVHPKhQKTJo0CeHh4bWv7dmzh2UZUXskCOK2hmFhwPbtQHm5PDkUCmDyZPEsstmzARMTeXIQEWmRIAg4lXUKa8+uxeaUzSiv1u6fuWvPrmVZRkRERERERM2ms2UZt9JrG/bv34/q6ura6wkTJkg+x/nz51FZ+b+tdXr16gUnJ6dGPz9q1CiNsiwhIUHKeETU1uXmAtHR4iqyS9KvaGi0Ll2A4GAgJATo1Uu+HEREWvSg/AHikuKw9uxaJN1pvW1tD2ccxuW8y+hn36/V5iQiIiIiIiL9oZNlWWRkpNwR6L9Onz6tce3p6Vn79/Hx8YiMjMQPP/yA69evo7y8HI6OjujXrx+mTp2K5cuXw9nZ+YlzpKamaly7uro2KeOj9z86HhHpIbUaOHpULMh27gQqZTrLxsAAmD4dCA0FZs4EjHTyP7tERE8Ufzsea8+sRVxyHIori2XJEJcch/fHvy/L3ERERERERKTbdPJdu4CAALkj0H89Wpb17t0bRUVF+N3vfof169c/dv+1a9dw7do1HD58GO+++y5eeeUVrFmzBsbGxvXOkZaWpnHdrVu3JmV89P5r166hrKwMZmZmTRqHiHRAdjYQFSWWZBkZ8uVwcRHPIQsOBpr4ZxYRka4oqSzB5pTNWHt2LX67+ZssGRRQYEa/GVg9dDWm950uSwYiIiIiIiLSfTpZllHbkZ6ernFtYGCAsWPHIj4+/onPlpaW4q9//StOnz6NHTt2wNraus77cnJyNK5dXFyalLFz584wMjJCVVUVAECtViMvL69Rq9oakpOTg9zc3CY98+g/LyKSQHU1cOiQeBbZd98B//3/eqszNARmzRLPIps6VbwmItJDqbmp+ObsN4hOjMa9snuyZOhs2RkrfVYi1CcUPTr0kCUDERERERER6Q+WZdRsarUahYWFGq+9/PLLtUWZQqHArFmzMGPGDLi4uKC4uBjx8fGIiYnBrVu3ap85fPgwAgMDsX379jrnKSoq0ri2tLRsUk6FQgFzc3ONrI+O2RxfffUV1qxZ0+JxiKiZbt4E1q8H1q0Drl+XL0fPnuIqsqAgoGtX+XIQEWlReVU5dl7cibVn1uKHaz/IlmNir4lYPXQ15g6YC2PD+ncmICIiIiIiImoKlmXUbPfv34cgCBqvnTt3DgBgb2+PnTt3YsyYMRpfX7p0Kf785z/j2WefxYYNG2pf37FjB1QqFZRK5WPzPFpsNWf7RG2UZUQkg6oqYN8+cZvFvXvFs8nkYGQEzJ0rriKbNEk8m4yISA9lFGQg7GwY1sevR25J01bUS8XO3A5BXkFYNWQV+tv3lyUDERERERER6TeWZdRs9RVOhoaG2Lt3L4YPH17n162srBATE4O7d+/i4MGDta9/9NFH8Pf3h0Kh0Li/rKxM49rExKTJWU1NTTWuS0tLmzwGEcno2jUgIkJcSXbzpnw5+vYVV5EFBgKdO8uXg4hIi6rUVdhzaQ/WnlmLA1cOyJZjVLdRWD10NRa5LoKZEc+aJSIiIiIiIu1hWUbNVt8Kr5UrV9ZblNUwMDDA119/jX79+kH935UhaWlp+OGHHzB+/PgG56moqGhy1vLy8gbHbI7nn38eixcvbtIz6enpmDdvXovnJmoXKiuBPXvEs8gOHAAeWcnaakxMgAULgNBQYPx4riIjIr325akv8dnPn+FmoTwfTLA2sYbSU4lnhzwL987usmQgIiIiIiKi9odlGTWblZVVna+HhoY26vnevXtj0qRJGqvL6irLHp3n0ZVmjfHoSrL6sjeFo6MjHB0dWzwOET0iI0M8hywyEsjOli/HgAHiNotKJdCpk3w5iIha0e3C27IUZT5dfPDc0OewzG0ZrExa/n0aERERERERUVOwLKNmMzc3h6GhIaqrq2tfs7a2hre3d6PHGDdunEZZdubMmcfuebTYKi4ublJOQRC0UpYRkYQqKoBvvxXPIjt8WL4cpqbA4sViSTZ6NPDItrBERPpu1ZBV+OTnT1plLnMjcyx3W47VQ1fjKeenWmVOIiIiIiIiorq0i7IsLy8PZ86cQUpKCq5fv47s7GwUFxejrKysdgtAhUKBI0eOyJxU9zg6OuL27du113379oVBE7YoGzBggMZ1Tk5OnXM8LCsrq0kZ79y5g6qqqtprAwMDdOIqEaK24dIlsSCLjgZyc+XL4eYmbrPo5wfY2cmXg4hIZn3s+mBKnyk4eOXgk29uJlcHV6weshr+nv7oYNZBa/MQERERERERNZbelmXXrl1DZGQkdu/ejcTExAbvFQQBCq4eaJZBgwZplGU2NjZNev7R+wsKCh6759FC7fr1602a49H7e/ToIcmZZUTUTGVlwI4d4llkP/wgXw5zc2DZMnEV2fDhXEVGRPRfzw19TvKyzMTQBItcF2H1kNUY3X00v/cmIiIiIiKiNkXvyrLU1FT86U9/wnfffQe1Wg1BEBq8v74f1A8ePIjp06c3+OzkyZOxf//+ZmfVB66urjh69GjtdXl5eZOef/T8MQsLi8fuGThwoMb1hQsXmjRHampqg+MRUSu5cEFcRaZSAfn58uXw8hILshUrAFtb+XIQEbVRs/rPQlfrrrhVeKvFY/Xp2AfPDnkWgV6BcLB0kCAdERERERERkfT0piyrqKjAW2+9hX/+85+PlWTN+eTqlClT4OnpiYSEhHrvOXLkCLKzs+Hk5NScyHrBx8dH4/rOnTtNev7RbRft7e0fu2fw4MEwNjZGZWUlAODq1au4ffs2unTp0qg5Tp48qXHt5eXVpIxE1AIlJcDWrWJJ9sj/F1uVlRWwfLlYkg0ZwlVkREQNMDIwQqhPKNb8sKZZzxsqDDF34FysHrIaE3tPhIGi8Vt0ExEREREREclBL35yvX79OoYOHYovv/wS1dXVtdsq1vwSBKHeXw159dVXAUBjrJpfAKBWqxEXF6f1319bNnPmTI0zyjIzM5HfhBUjZ8+e1bh+dMtFALC2tsbYsWM1Xjt06FCjxhcEAYcPH9Z4bfbs2Y3OR0TNlJQEvPgi0LUrEBgoX1H21FPido+3bol/HTqURRkRUSOs9FnZ5JLLxcYFfxn/F1x/9Tq2L9mO/2fvPsOjqta/j/8mjYQECDX00HsNkFCkCYJIPSqCKFV6EfWADRsW7EcBiXQQ0WMBFbDRDkVBei8iJZTQO6S3/bzIQ/5MSJlJpibfz3XNddx71lr3HbLPZjH3rLUfqPoAhTIAAAAAgFtw+3+97tu3T2FhYTp48KBZkUySRQWxrPTp08dspVP68QzD0KJFi3KefB5QqlQptWrVyuzcDz/8YFHfpKQk/fjjj2bn2rVrl2HbHj16mB3PmzfPohjr1q1TRERE2nFQUJDCwsIs6gvASlFR0rx5qc//athQmjFDunnT8XkULiyNHi3t3i1t2yYNGyYVKuT4PADAzmITY7Vo7yJNWDXB5mOXL1xe3Wtk/wUjk0zqUq2LlvddrojxEXq17asqW6iszfMBAAAAAMCe3LpYduzYMXXq1Clt6z9bFcnu8PHxUb9+/e4Z605RTpIOHDigY8eO5TqWOxsxYoTZ8YcffmjRs8vmzJmjCxcupB0XLlxYnTt3zrBt37595e/vn3a8ceNGs2elZcQwDE2ebL590ODBg81WwgGwgV27pJEjU1eRDR2aWqByhhYtpAULUleRzZiR+mwyAMiDjlw5oudWPqdy/ymngT8N1Md/fazj147bPM7IpiMzfa+Ufym9dN9LOv70cf36xK/qXrO7vDzyzA7vAAAAAIB8xm2rBjExMerVq5cuXbpk8yLZ3Z544ols26Tf5i+/efzxx1W/fv2043/++UcjRoxQSkpKpn22bt2q559/3uzc6NGjVaRIkQzblypVSmPHjjU7N3ToUJ07l/mD5999911t3Lgx7bhIkSKaOHFilj8LAAvduiXNmpX6/K8mTVL/+/Ztx+dRtKj09NPS/v3S5s2pWz7eVVgHgLwiITlB3x38Tvd/cb9qzailT7Z8outx19Pen71zts1jdqraSZUCK5mda1+pvb599FudefaMpnSYospFK9s8LgAAAAAAjua2xbIJEybo0KFDZoUyewgNDVW5cuUk/d/KtfTWrl1rl9juwsPDQ5988onZn88XX3yhzp073/NMsps3b+o///mPOnbsqKioqLTzNWrU0Msvv5xlnOeff16lS5dOO46IiFDLli21fPlys99/ZGSkRo4cqUmTJpn1nzRpkooVK5ajnxGAJMOQtm6VnnpKKlMmdTXZrl3OyaVNG+nLL6WzZ6WpU6V69ZyTBwDYWcT1CL289mVV+KSC+izpo3Un12XYbv6e+YpPyn5lvzU8TB4a0WSEivoW1bPNn9XhMYf1v4H/02N1H5OPp49NYwEAAAAA4Ewmw15VJjvatWuXQkND0wokufkRTCZT2raKycnJGbYZPny45s6dm9b2Tr87sYsVK6YrV67kOIe84v3339eLL754z/nSpUurfPnyio6O1vHjx5WQkGD2fvHixbVu3Tqz1WmZ2bhxozp37qy4uDiz84GBgapcubJu3Lih06dP3/O77Nmzp3788cdMC56OcvDgQdW760P9AwcOqG7duk7MCLDAjRvS4sXSnDnSvn3Oy6N48dSVY0OHSrVqOS8PALCzpJQk/Xr0V83cMVO/H/tdhiyb63798Nd6vP7jNs0lKiFKniZP+Xn72XRcAAAAAADSc+bn5275YIE333xTKSkpZsWrzKQvjuSksNa6dWvNnTv3nnHujH39+nUdOnRIderUsXrsvOSFF15QwYIF9e9//1uJiYlp5y9cuGD2bLK71axZUytWrFD16tUtitGmTRv98ssv6t27t65du5Z2/saNG9q9e3eGffr166f58+c7vVAGuBXDSN3WcPZs6fvvpdhY5+Vy//3S8OFSr15SgQLOywMA7OzsrbOat3ue5uyao8hbkVb3n7lzps2LZQE+ATYdDwAAAAAAV+R22zAeP35cK1asyLbwYTKZ7nmWWU5XoIWEhGTb5tChQzkaO68ZN26c9u3bpz59+sjb2zvTdpUrV9bUqVO1b98+iwtld9x///06dOiQRo0apYIFC2barnHjxlq6dKm++uorFeADdsAyV69Kn3wi1a0r3XeftGiRcwplpUpJL7wgHT0qrV0r9elDoQxAnpRipGjV8VV6+NuHFfxpsF5f/3qOCmWStPHURh28dNDGGQIAAAAAkPe53cqyb7/9Nm1VV2bFr7uLZDVq1NBDDz2kkJAQFS9eXF27drVoRdrdateuLT8/P8XFxWXa9++//87ZD5QH1apVS998841u3bqlzZs36+jRo7p586YCAgIUFBSkkJAQ1axZM1cxgoKCFB4ero8//libN2/W4cOHdePGDfn4+KhcuXIKCwtTtWrVbPQTAXmcYUgbNqRus7hkiZRuq1SHMZmkTp2kYcOk7t0lH56HAyDvuhJzRfN3z9esnbN04voJm407a+csTesyzWbjAQAAAACQH7hdseznn3/O9L27i2RlypRReHi4evbsmeuYHh4eatCggbZu3ZrpijaKZfcqXLiwHnzwQT344IN2i+Hn56cOHTqoQ4cOdosB5FmXLklffCHNnSv984/z8ihTRnrqqdRXpUrOywMA7MwwDG09u1Xh28P17cFvlZBs+y8nLNq7SO92eFf+Pv42HxsAAAAAgLzKrYpl8fHx2rVrV4YFqzsrvkwmk2rXrq0NGzaoRIkSNotdtmzZLN8/ccJ23wgGALtJSUnd1nDOHOmnn6S7ni/oUB4eUpcuqc8ie+ghycut/joCAKvEJMbov/v/q/Ad4dp1fpddY92Mv6lvD36rIY2H2DUOAAAAAAB5iVt9Onn48GElJCTcsxXi3cUzPz8//frrrzYtlElS0aJFMzx/J5cbN27YNB4A2NT589LChalFsogI5+VRoULqCrIhQ1L/GwDysKNXj2rmjplasGeBrsddd1jcmTtmUiwDAAAAAMAKblUsi8jiA947q8pGjRql4OBgm8fOrFh2x+3bt20eEwByJTlZWrUqtUC2fHnqsTN4eqY+g2zYMKlz59RjAMijklOS9cvRXxS+PVwrj690Sg47z+/UiesnVKVoFafEBwAAAADA3bhVsezChQvZtnnkkUfsErtQoUJZvk+xDIDLiIyU5s+X5s2TTp92Xh6VKqUWyAYNkrLZyhYA3N3l6Muau2uuZu6cqdM3nXPvLVeonIaFDNNTIU+pfOHyTskBAAAAAAB35FbFspiYmGzb1KpVyy6xo6Ojc/U+ANhVUpL022/S7NnSr7+mPpvMGby8pF69UotkHTumPpsMAPIowzC0JXKLZmyfoe8Pfa+E5ASH52CSSZ2rddbIJiPVtUZXeXm41fQeAAAAAACX4Fb/mk5KSsq2TUBAgF1iZ/dMMm9vb7vEBYAsnTqVuoJs3jzp3Dnn5VGtWmqBbOBAKSjIeXkAgAPEJMbo6/1fK3x7uHZf2O2UHEoWLKkhjYdoeJPhbLcIAAAAAEAuuVWxrGDBgtm2uXLlikqXLm3z2IcOHcryfT8/P5vHBIAMJSZKK1akPots5UrJMJyTh4+P9MgjqUWydu0kk8k5eQCAg/xz9R99vv1zLdy7UDfibjglh7bBbTWy6Uj9q9a/VMCrgFNyAAAAAAAgr3GrYpklq8Z27Nihbt262TRuYmKi9u7dK1MWHwQXK1bMpjEB4B7Hj0tz50oLFkgXLzovj1q1UgtkAwZIJUo4Lw8AcICklCT98s8vmrF9hlafWO2UHAJ9AzWw4UCNaDJCtUvWdkoOAAAAAADkZW5VLCtXrly2bX766SebF8t+//13RUVFyWQyyUi3gsMwDJlMJpUvz0PUAdhBfLy0bFnqs8jWrnVeHr6+Uu/e0vDhUqtWrCIDkOdFJ0Rr6tapmrljps7cOuOUHMLKhWlk05F6rO5jKuid/Q4LAAAAAAAgZ9yqWBYcHJzpe3cKWYsXL9ZLL72kqlWr2izup59+mm0bW8YDAB05krqKbOFC6coV5+VRr15qgezJJ6WiRZ2XBwA4mJeHlz7d8qkux1x2aFx/b3892eBJjWgyQo3LNHZobAAAAAAA8iu3KpZVr15dBQsWVGxsrNkqrzuruyQpISFBjz76qP744w+Ltm3MzuLFi7Vu3boMV5XdrVGjRrmOBSCfi4uTli5NfRbZhg3Oy6NgQalv39StFsPCWEUGIF8q4FVAw0KGacqfUxwSr27JuhrdbLSebPCkChco7JCYAAAAAAAglYezE7CGh4eHGjdunGHR6u6C2d69e9WqVSsdPXo0V/F+/fVXDR06NMtnld0RGhqaq1gA8rGDB6VnnpHKlUtdweWsQlnjxtLnn0vnzknz5knNm1MoA5CvjWg6Qh4m+02XvTy89Fjdx7Rh0AbtH7Vfo5uNplAGAAAAAIATuFWxTJIefPDBTN+7UzAzmUzav3+/6tWrp9GjR2v79u1WxYiIiNCoUaPUo0cPJSQkpI19t7sLaMWLF6dYBsA6MTHSF1+kPv+rXj1p6lTp2jXH5xEQkLrN4o4d0q5d0siRUpEijs8DAFxQxSIV1b1Gd5uPW7ZQWU1uN1mnnzmtbx/9Vm2C21j05SwAAAAAAGAfbrUNoyT17NlTr776aqbv373CLDExUbNmzdKsWbNUsmRJhYSEZDn26NGjtXPnTu3cuVOGYaSNldn2i3fe797d9h+iAMij9u5N3WZx8WLp5k3n5REamrrNYt++qQUzAECGxjQbo2VHltlkrPaV2mtMszHqUbOHvD29bTImAAAAAADIPbcrltWrV0/NmzfXli1bMi1k3V0wu/P+pUuXtHLlSrNzd/+3YRiaNWuW2XuWfsN3yJAhOfthAOQPUVHSN9+kFsm2bXNeHoULS/37pxbJGjZ0Xh4A4EY6VOmg6sWq6+i1nG3vXbhAYQ1sOFCjmo5S7ZK1bZwdAAAAAACwBbcrlknS+PHjtWXLlizb3L0l493nsusjKds+d4p0JpNJTZo0UatWraxJH0B+sXOnNHu29PXXqQUzZ2nZMnWrxd69pYIFnZcHALghD5OHRjcbrWdXPmtVv/ql6mtMszF6osETCvBhBS8AAAAAAK7M7Z5ZJkl9+vRJ21Ixq9Vfd7ZSzKgIlpG7i2t398vKO++8Y2naAPKDW7ekmTOlkBCpadPUYpkzCmVFi0rjx0sHDkibNkkDB1IoA5Dn/X3lb+25sMfm4w5sOFB+Xn7ZtvPy8FLfen21cdBG7R25VyOajqBQBgAAAACAG3DLlWWS9Pnnn6tVq1ZKTk7O8rlid1hS+LKkzd2ryh599FE98MADFucMII8yDGnr1tRtFr/5RoqJcV4ubdumbrP4yCOSr6/z8gAAB0lKSdLyI8s1Y/sM/S/if+pQuYPWDFhj0xhF/YrqifpPaO7uuRm+X75weY1oMkJDQ4aqdEBpm8YGAAAAAAD257bFsmbNmmny5MmaNGmSxc8Wy62745QrV07h4eEOiQvARV2/Li1enFok27/feXmUKCENGiQNHSrVrOm8PADAgc7fPq+5u+Zq1s5ZOnv7bNr5tRFr9feVv1WrRC2bxhsTOuaeYlmHyh00ptkYda/ZXV4ebjutBgAAAAAg33Prf9W/9NJLOnLkiBYtWmS2faI93D1+oUKFtGLFChUvXtwusQC4MMNI3dZw9mzp+++luDjn5dKhQ+oqsl69pAIFnJcHADiIYRj64/QfmrF9hn44/IOSUpIybPf59s81tctUm8ZuVLqRWpRvoYOXD2pQw0Ea1WyUzQtyAAAAAADAOdy6WCZJ8+bNk6S0gpklWzJa6+5CWZEiRfTLL7+oYcOGNo0BwMVdvSotWpS6iuzwYeflERQkDR6cuoqsalXn5QEADnQ7/rYW71us8B3hOnDpQLbtF+5dqCkdpsjfx9+meXzR6wuVKVSG55ABAAAAAJDHuH2xzNPTUwsXLlT16tX1xhtvKCUlxWarzO7edtEwDNWsWVNLlixR3bp1czUuADdhGNL69akFsqVLpYQE5+RhMkmdO6euIuveXfL2dk4eAOBghy4fUvj2cC3au0i3E25b3O9W/C19tf8rDW8y3Kb5VC9e3abjAQAAAAAA1+Dh7ARsZdKkSfrjjz/UsGFDGYYhwzDSVprdeVkifXvDMOTp6anx48drx44dFMqA/ODSJemDD1Kf/3X//dJ//+ucQlnZstIrr0gnTki//SY9/DCFMgB5XmJyopYcWqL2X7RX3fC6mrF9hlWFsjtmbJ9ht+25AQAAAABA3uL2K8vu1rx5c+3cuVP//e9/NXXqVG3fvj3tPWsKZnc+WPHz89MTTzyhCRMmqEaNGnbJGYCLSEmR1q5NfRbZsmVSYqJz8vDwkB56SBo+XOrSRfLKU7dpAMjU+dvnNXvnbM3eNVvnbp/L9Xj7Lu7T5jOb1apiKxtkBwAAAAAA8rI89ymsyWRSv3791K9fPx08eFA//vij/ve//2nnzp26fTv7byVXqVJFzZs3V9euXdWtWzcVKlTIAVkDcJrz56UFC6S5c6WICOflUaFC6nPIhgyRypd3Xh4A4ECGYWjjqY2asX2Gfvz7RyWlJNl0/PAd4RTLAAAAAABAtvJcsexudevWVd26dfXKK69Iks6ePatTp07pypUriomJUVJSknx9fRUQEKBy5cqpUqVKFMeA/CA5WVq5MvVZZCtWpB47g6dn6jPIhg+XOnVKPQaAfOBW/C19ufdLhe8I16HLh+wW5/uD3+s/nf6joIAgu8UAAAAAAADuL08Xy9IrV66cypUr5+w0ADjLmTPS/PnSvHmp/+0slStLw4ZJgwZJZco4Lw8AcLCDlw4qfHu4Fu1bpKiEKLvHS0xJ1NxdczWpzSS7xwIAAAAAAO4rXxXLAORDSUnSr7+mPovst99Sn03mDN7eUq9eqavI7r8/9dlkAJAPJCYn6se/f1T49nBtOLXB4fFn7ZylF+57QV4eTHsBAAAAAEDG3O5Tg//85z+KjIy0qO3w4cNVq1YtO2cEwCWdPJm6gmz+fOncOeflUb166iqygQOlUqWclwcAONjZW2c1e+dszdk1R+ejzjslhweqPKAxzcbIJJNT4gMAAAAAAPfgdsWy9957T1evXs22XZEiRTRlyhQHZATAZSQmSsuXpz6LbNUqyTCck4ePj/TII6mryNq2lUx8SAsgfzAMQ+tPrlf4jnD9ePhHJRuOfyZkkQJFNLjRYI1qNko1itdweHwAAAAAAOB+3K5YdqdQZmTxIbjJZFK3bt3k6+vrqLQAONOxY9LcudLChdLFi87Lo3bt1FVk/ftLJUo4Lw8AcLBb8be0aO8ihW8P1+Erh52SQ6PSjTSm2Rg9Xu9x+fv4OyUHAAAAAADgntyuWGYYhkwmk0yZrNS4U0Tr1KmTI9MC4Gjx8dJPP6U+i+x//3NeHr6+0mOPpRbJWrViFRmAfGX/xf0K3x6uL/d9qejEaIfH9/H00WN1H9PopqPVvHzzTOeHAAAAAAAAWXG7YllAQICio1M/jEm/uuzuD0gaNWrkyLQAOMqRI6nbLH7xhXTlivPyqF8/dZvFJ56QihZ1Xh4A4GAJyQn68fCPmrF9hv44/YdTcqhYpKJGNR2lIY2HqJQ/z4MEAAAAAAC543bFssDAwLRiWVaCg4MdkA0Ah4iNlZYuTS2SbdzovDwKFpT69k0tkoWGsorMxdy8KX35ZeqlEhkpRUVJAQFS+fKpj5AbMEAqXNjZWQLuK/JWpGbvnK05u+boQtQFp+TQuWpnjW42Wl2rd5Wnh6dTcgAAAAAAAHmP2xXLatasqcjIyGy32fH351kVgNs7cCC1QPbll9L1687LIyQkdZvFfv2otrigM2ekd96RFi+WMvouxbFj0vr10osvpj5O7uWXpQoVHJ4m4NZ2ntupsLlhSjaSHR470DdQQxoN0cimI1W9eHWHxwcAAAAAAHmf2xXLmjRporVr12bb7tq1aypRooQDMgJgUzEx0nffpT6L7K+/nJdHQEDqFovDhklNmjgvD2Rp0yapRw/p2rXs20ZHSzNnSt9/Ly1fLrVsaf/8gLyicZnGqlikoiJuRDgsZkiZEI1pNkZ96/VVQe+CDosLAAAAAADyHw9nJ2CtXr16WdTu/Pnz9k0EgG3t2SONGSOVKSMNHuy8QlloqDR3rnT+fGplhUKZy9q0SerY0bJC2d2uXpU6dEjtD8AyHiYPjWo6yu5xfDx91L9Bf215aot2DNuhIY2HUCgDAAAAAAB253bFsubNm6tu3bqSlOVWjOvXr3dQRgBy7Pbt1G0WQ0Olxo2l8HDp1i3H51GkSGqhbs8eaetW6amnUleWwWWdOZO6oiwuLmf94+Kknj1TxwFgmSGNh6iAZwG7jB1cJFjvdXhPkc9GatG/FimsfFi2W24DAAAAAADYitsVyyTpjTfekGEYWbb54YcfHJQNAKsYhrRjhzR8uFS2bOr/bt/unFxatZIWLpTOnZM++0xq2NA5ecBqU6ZYv6IsvatXU8cBYJniBYurb72+Nh3zwWoPasXjK3T86eN64b4XVNK/pE3HBwAAAAAAsIRbFsseeeQRPfLIIzIMw+xbx3eODcPQxo0btWrVKidmCcDMzZvS559LISFSs2apK8qiohyfR9Gi0jPPSAcOSH/+KQ0cKBVkiy93cuuW9OWXthlr8WLnLGYE3NWYZmNyPUZR36L6d4t/69i4Y/rtid/UrUY3eXp42iA7AAAAAACAnHHLYpkkzZ07Vw0bNrynYCYprWA2YsQInTt3zkkZApAk7d0rDRmSuops9OjUrQ6doW1b6auvUleRffKJ9P+3c4X7WbRIio62zVhRUbYrvAH5QbNyzdS0bNMc9W1Sponm95ivs8+d1UedPlLVYlVtnB0AAAAAAEDOuG2xrEiRIlq9erUaN26cVjC7UySTUgtmp06dUseOHfX33387OVsgH9uxQ1qwQIqJcXzsEiWkCROkv/+W1q+X+vWTfH0dnwdsaulS2463ZIltxwNcSXbbVueENavLCngW0MCGA7V16FbtGL5DgxsPlp+3n81zAgAAAAAAyA23LZZJUokSJfTnn3+qT58+Zh8G3V0w+/vvv9W4cWNNnjxZFy9edFaqQP7Vp49UqJBjY3bsKH37rRQZKX34oVSzpmPjw64iI2073tmzth0PcLaE5AT9d/9/dd/8+7Rwz0Kbj9+nbh8V8yuWZZvKgZX1QccPFPlcpBb2WqjQcqE2zwMAAAAAAMBWvJydQE6cPn3a7Pj9999XkyZN9PrrrysuLk6SzLZnjI+P15tvvqkpU6bo/vvvV4sWLRQSEqJSpUqpSJEi8vPL/TecK1asmOsxgDwpICB1RdesWfaNExSUut3jU09JVdnaKy+z9aPubt+27XiAs5y+eVqzd87WnF1zdCn6kiQpPjlegxsPtmkcP28/DWk0RB/99ZHZeZNM6lK9i8Y0G6POVTvzHDIAAAAAAOA23LJYVqlSpXueU3ZH+hVmd9oZhqHExEStWrVKq1atsmk+JpNJSUlJNh0TyFOGD7dPscxkkjp3Th2/WzfJ29v2MeByAgJsO56jFz4CtpRipGjtibUK3xGu5UeWK8VIMXt/x7kd2nZ2m81Xdo1sOlIf//WxDBkq5ldMTzV+SiObjlSVolVsGgcAAAAAAMAR3LJYJln+DI67n2dmTT8ANhQSkvratcs245Ur93+ryIKDbTMm3Eb58tKxY7Ybr1w5240FOMqNuBtauGehPt/xuf65+k+WbWdsn2HzYlnVYlX17xb/Vr1S9fRY3cd4DhkAAAAAAHBrblsss2RlWfpzdxfNbIXiG2Ch4cOlkSNz3t/DQ+raVRo2TOrSRfJy29sXcumRR6T162033qOP2m4swN72XNijGdtm6Kv9Xyk2KdaiPt8e+FYfd/pYJQqWsGkuH3b60KbjAQAAAAAAOIuHsxPIDcMw7nlZ2z43LwBWePxxyd/f+n4VK0pvvimdOiUtXy51706hLJ8bMCBnl1JGAgKk/v1tMxZgL/FJ8fpq31dqOa+lGs9qrLm751pcKJNSn1s2f/d8O2YIAAAAAADg3ty6WAbAjRQuLPXta1lbT0/pX/+SfvtNOnFCevXV1L33AKVeSrYqcD35ZOp4gCs6ffO0Xl77sip8UkFP/vik/or8K8djzdwxU8kpyTbMDgAAAAAAIO+gWAbAcYYPz/r9KlWkKVOkM2ekH36QHnwwtXAGpPPyy1Lx4rkbo3jx1HEAV5JipGjV8VXq+U1PVZ5aWe/++a4ux1zO9bgRNyL0+7HfbZAhAAAAAABA3sNeZgAcp1kzqUEDad++/zvn7Z26imzYMOn++1OfTQZko0IFadkyqWNHKS7O+v6+vqm7elaoYPvcgJy4HntdC/cs1Oc7PtfRa0ftEmPG9hnqWqOrXcYGAAAAAABwZxTLADiOyZS6umzsWKl69dT/HjBAKlXK2ZnBDbVqJa1ZI/XsKV29anm/4sVTC2UtW9ovN8BSu87vUvj2cH29/2urnkOWE78f+13Hrx1X1WJV7RoHAAAAAADA3bCEA4BjPfmktH69dOSINGEChTLkSqtW0u7d0siRkr9/1m0DAlLb7d5NoQzOFZcUpy/3fqkW81qoyewmmrd7nt0LZZJkyNDMHTPtHgcAAAAAAMDduPXKMpPJ5OwUAFirSBGpbVtnZ4E8pEIF6fPPpfffl778UlqyRDp7Vrp9WypUSCpXTnr0Ual/f6lwYWdni/zs5I2TmrljpubtnqcrMVccHt8kk02efwYAAAAAAJDXuG2xzDAMZ6cAAHAhhQtLY8akvgBXkWKkaNXxVZqxfYZ++ecXGXL8/KVEwRIa2nioRjQdoUqBlRweHwAAAAAAwNW5ZbHs9ddfd3YKAAAAmboWe00Ldi/Q5zs+1/Hrx52SQ4vyLTS62Wj1rtNbBbwKOCUHAAAAAAAAd0CxDAAAwEZ2ntupGdtn6L8H/qu4pDiHx/fz8tMT9Z/QqGajFFImxOHxAQAAAAAA3JFbFssAAABcRVxSnL47+J1mbJ+hbWe3OSWHasWqaXTT0RrUaJCK+hV1Sg4AAAAAAADuimIZAABADkRcj9DMHTM1b/c8XY296vD4HiYPda/RXaObjVbHKh3lYfJweA4AAAAAAAB5AcUyAAAAK+w+v1uvrntVvx79VYYMh8cvWbCkhoUM0/AmwxUcGOzw+AAAAAAAAHkNxTIAAAArxCbF6pejvzg8bssKLTWm2Rg9UvsRFfAq4PD4AAAAAAAAeRXFMgAAACu0KN9CDYMaau/FvXaPVdC7oJ6o/4RGNxutRqUb2T0eAAAAAABAfuSWxbJFixZl+X5ISIjq1avnoGwAAEB+YjKZNKbZGA3/ebjdYtQoXkOjm47WwEYDFegbaLc4AAAAAAAAcNNi2aBBg2QymTJ9/6233rJpsezQoUPas2dPlm369etns3gAAMC19avfTxNXT9TN+Js2G9PD5KEeNXtoTLMx6lC5Q5ZzHQAAAAAAANiOWxbL7jAM455z9vhg6ccff9Rrr72WZRuKZYBlbt6UvvxSWrpUioyUoqKkgACpfHnpkUekAQOkwoWdnSUAZM3fx1+DGg3S1K1Tcz1WKf9SGhYyTCOajFCFIhVskB0AAAAAAACs4dbFsvSFsYyKZ7aS1dh88xvI3pkz0jvvSIsXS9HR975/7Ji0fr304otS//7Syy9LFfjMGIALG9V0VK6KZfdVvE+jm47WI3UekY+njw0zAwAAAAAAgDXculh2dwHLEQWrjGLYs0AH5BWbNkk9ekjXrmXfNjpamjlT+v57aflyqWVL++cHADlRs0RNdazSUWtOrLG4j7+3v55s8KRGNR2lhqUb2jE7AAAAAAAAWMrD2Qm4G8Mw0l4Asrdpk9Sxo2WFsrtdvSp16JDaHwBywzAMbTy1UdEJGSxrzaUxzcZY1K5WiVqa9uA0nX3urGZ2m0mhDAAAAAAAwIVQLANgN2fOpK4oi4vLWf+4OKlnz9RxAMBaMYkxmrtrrhrNaqS2C9vqq/1f2TxGtxrdVKFwxnvGepo89XDth7V2wFodGn1I48LGqYhvEZvnAAAAAAAAgNxx620Ykb/FxcVp8+bN+vvvv3X9+nX5+PiofPnyCgsLU5UqVZydHiRNmWL9irL0rl5NHefzz22TE4C8L+J6hMK3h2ve7nm6Hnc97fz0bdM1LGSYTbdu9vLw0ogmI/TKulfSzgX5B2l4k+Ea3mS4yhcub7NYAAAAAAAAsA+KZRaIy+mymHzgjTfe0OTJk3Pcf+DAgVq4cKFVfS5fvqzJkydr4cKFio7OeEutJk2a6NVXX1XPnj1znBty59Yt6csvbTPW4sXS++9LhQvbZjwAeY9hGFobsVbTt03XiiMrZOje7ZIPXDqgDac2qF2ldjaNPTRkqCZvmKzm5ZtrTLMx+lftf8nH08emMQAAAAAAAGA/FMsscPnyZWengP9v/fr16t27t65cuZJlu507d6pXr14aMGCA5syZIx8fPrR0tEWLpExqmVaLikotvI2x7NFAAPKR2/G39eW+L/XZts90+MrhbNtP3zbd5sWyoIAgnRh/glVkAAAAAAAAbopimQV27tzp7BQg6c8//9RDDz2k2NhYs/OBgYGqXLmyrl+/rjNnzig5OTntvUWLFikqKkpLliyx6bZbyN7SpbYdb8kSimUA/s/Rq0f12bbPtHDvQt2Kv2Vxv5/+/kmnb55WxSIVbZoPhTIAAAAAAAD3RbEsG+vXr9fOnTtlMplkGPdu6QRzH330kRo2bGhx+7Jly1rU7vr16+rTp49ZoSw4OFhTp05Vjx490gphkZGRevvttzVr1qy0dj/88IM++eQTPffccxbnhdyLjLTteGfP2nY8AO4nxUjR78d+1/Rt0/X7sd9zPMbMHTM1pcMUG2cHAAAAAAAAd+UyxbLTp0/r5MmTNhkrIiJCGzduzHH/pKQkXbp0SRs3btQXX3yRYZu7Vyn5+/vnOFZe06RJE7Vr187m43744Yc6d+5c2nHlypX1559/3lNsK1++vGbOnKmKFStq0qRJaefffPNNDR48WEWLFrV5bshYVJRtx7t927bjAXAfN+NuasGeBZqxfYaOXTuW6/Hm7Jqj19q+Jl8vXxtkBwAAAAAAAHfnMsWyBQsW6M0337S4ffpVXneODcPQ/PnzNX/+fJvkZRhGtqvKChcubJNYyNjly5c1ffp0s3Nz5szJclXaSy+9pJUrV6YVTW/evKmPPvpI77zzjl1zxf8JCLDteIUK2XY8AK7v0OVD+mzbZ1q0d5GiE230EERJV2Ku6JsD32hQo0E2GxMAAAAAAADuy8PZCdzNMAyLXrYax5JXVoWyO+eLFCli0z8HmPvmm28UddcypTZt2qhDhw5Z9jGZTHr99dfNzs2fP5+tNB2ovI0f31OunG3HA+CaklOS9dPfP6njoo6qG15Xn+/43KaFsjumb5vO3wkAAAAAAACQ5GLFMim1yJHdyxZjWPqyJFb16tVt8aMjE8uWLTM7fuqppyzq1759e1WuXDnt+MKFC9qyZYtNc0PmHnnEtuM9+qhtxwPgWq7GXNUHmz5Q1WlV9a9v/6W1EWvtGm/X+V36K/Ivu8YAAAAAAACAe3C5YpmU/cqw3Pa39pWdpk2b2uLHRgaioqLuef5cp06dLOprMpnUsWNHs3M///yzzXJD1gYMkGz1OL+AAKl/f9uMBcC17L2wV0OXD1X5T8rrhTUv6NTNUw6LPX3b9OwbAQAAAAAAIM9zyWKZu2nRooWzU8izDh48qMTExLTjypUrq3Tp0hb3b9Wqldnxnj17bJUaslG4sO0KXE8+mToegLwhMTlR3x38Tm0WtFGjWY00b/c8xSXFOSy+t4e3+tXvp2fCnnFYTAAAAAAAALguL2cn4I7u3p6xYsWKuv/++52YjeuJj4/XiRMndPXqVXl7e6t48eIqW7asChYsaPVYhw8fNjuuU6eOVf3Tt08/Huzr5Zel77+Xrl7N+RjFi6eOA8D9XYq+pNk7Z2vmjpk6e/usw+OXCSijkU1HaniT4SodYPkXLwAAAAAAAJC3USzLIcMwZDKZNGrUKIuebZZfjBkzRidOnFBcnPkKAS8vLzVp0kRdunTR6NGjVbJkSYvGO3LkiNlxhQoVrMonfftTp04pLi5Ovr6+Vo2DnKlQQVq2TOrYUYrLwaIRX19p+fLUcQC4r+1nt2v6tun69uC3SkhOcHj8lhVaalzoOD1c+2H5ePo4PD4AAAAAAABcG8UyK90pjJlMJjVt2lTPPfeckzNyLYcOHcrwfFJSkrZu3aqtW7fq/fff14QJE/T666/L09Mzy/EuXbpkdly+fHmr8gkKCpKXl5eSkpIkSSkpKbp69arKlStn1TiZ5Xb58mWr+hw7dizXcd1Nq1bSmjVSz57WrTArXjy1UNaypf1yA2A/8Unx+v7Q9/ps22faenarw+MX8Cygx+s/rnGh4xRSJsTh8QEAAAAAAOA+KJZZIP3KMcMwVKFCBX333Xfy8uKP0FqxsbF666239Mcff2jFihUKCAjItG1UVJTZsb+/v1WxTCaT/Pz8dPv27UzHzKnw8HBNnjzZJmPlda1aSbt3S1OmSF9+KUVHZ942ICD1GWUvv8yKMsAdnbt9TjN3zNTsnbN1Mfqiw+NXKFxBo5uN1tCQoSpRsITD4wMAAAAAAMD9uGSlJ7ttDQ3DyFX/nLgT02QyqW/fvpo6darFWwnmdSaTSS1atFDXrl0VGhqq2rVrq1ixYvLw8NDVq1e1a9cu/fzzz/riiy/Mtmdcv369+vbtq2XLlmW6wix9YSsn2yfaq1gG61SoIH3+ufT++6kFsyVLpLNnpdu3pUKFpHLlpEcflfr3lwoXdna2AKxhGIY2n9ms6duma+nhpUpKSXJ4Du0qtdO40HHqUbOHvDxccnoDAAAAAAAAF+VynyZlVwhz1Bh38/DwUMOGDfXggw9qwIABqlWrlk3Hd2edOnVSv379VKNGjQzfL1u2rMqWLatu3brplVdeUd++fbVp06a093/55ReFh4dr3LhxGfZP/+wzHx/rnzVToEABs+PY2Firx4DtFC4sjRmT+gLg/jae2qhnfn9Guy/sdnjsgt4F9WT9JzU2dKzqB9V3eHwAAAAAAADkDS5TLOvVq5cqVaqUbTvDMDRkyBCZTCazotidY5PJpIcffljdunXLcS6enp7y8fFRYGCgypYtq+rVq99TcEGqllY8UKp8+fJas2aN7r//fv31119p599++2099dRTKliw4D190q8kS0hIsDrH+Pj4LMfMqdGjR6t3795W9Tl27Jh69eplk/gA4Ap8vXwdXiirUrSKxjQbo8GNBquoX1GHxgYAAAAAAEDe4zLFsoYNG6phw4YWtR0yZEiW7zdu3FgDBw60RVqwMV9fXy1atEi1a9dWUlLqNl2XLl3SqlWrMiwipX+eWfqVZpZIv5Isq2ekWaNUqVIqVaqUTcYCAHcVWi5UoeVCte3sNrvH6lS1k8aFjlOXal3k6ZHx9r0AAAAAAACAtTycnQDyn2rVqqlHjx5m51atWpVh2/SFrejoaKtiGYZht2IZACDVuNCMt9K1hQCfAI1tNlZ/j/lbK59cqW41ulEoAwAAAAAAgE1RLINTdOjQwez4yJEjGbZLv3IrMjLSqjgXL15MW8EmpT5/rkSJElaNAQDIWu86vVXK37YrbWsWr6npXabr7HNnNf2h6apZoqZNxwcAAAAAAADucOtimclkSnvdOYZ7qFChgtnx5cuXM2xXs6b5h6OnT5+2Kk769sHBwTZ7ZhkAIFUBrwIa0WRErscxyaRuNbpp5ZMrdWjMIY0NHavCBQrbIEMAAAAAAAAgcy7zzDJrGYbh7BSQC97e3mbHiYmJGbarVauW2fGhQ4esinP48OEsxwMA2MbIpiP17p/vKiklKfvG6QT6BmpIoyEa3Wy0qharaofsAAAAAAAAgMy5ZbEsIiIiy/eLFi3qoEyQUxcuXDA7LlmyZIbt6tatK29v77Ri2smTJ3X+/HmVKVPGojibNm0yO27UqJH1yQIAslW2UFk9UvsRfXvwW4v71CtVT+NCx+mJ+k/I38ffjtkBAAAAAAAAmXPLYllwcLCzU0Au/fnnn2bH6bdlvKNQoUJq06aN1q5dm3Zu9erVGjBgQLYxDMPQmjVrzM517949B9kCQN6RnJKsX47+olYVWql4weI2HXts6Nhsi2UeJg/1qtVL40LHqW1wW7ZQBgAAAAAAgNO59TPL4J5u3LihpUuXmp3r0KFDpu179Ohhdjxv3jyL4qxbt85sFWJQUJDCwsKsyBQA8o7rsdf10eaPVH16dfX8pqfm7bbsXmqNVhVaqVHpRhm+V9yvuF667yVFjI/Q0seWql2ldhTKAAAAAAAA4BIolsHhJkyYoBs3bqQd+/j4qEuXLpm279u3r/z9/297ro0bN+p///tfljEMw9DkyZPNzg0ePFgeHlzyAPKX/Rf3a/iK4Sr3n3KauHqiIm6kfokgfHu4klOSbRrLZDJpXOg4s3MhZUK0oOcCRT4XqSkdpqhikYo2jQkAAAAAAADkFpUD5Nh7772nnTt3Wtw+KSlJ//73v+9ZGTZy5Mgsn0FWqlQpjR071uzc0KFDde7cuUz7vPvuu9q4cWPacZEiRTRx4kSLcwUAd5aUkqSlh5aq3cJ2ajCzgebsmqPYpFizNqduntKKf1bYPPbj9R5X6YDS6luvrzYN2aQdw3ZoUKNB8vXytXksAAAAAAAAwBYolklKTk7WpUuXdPHiRd2+fdvZ6biN33//XU2bNlWrVq00depUHThwQElJSfe0u3nzpv773/+qWbNm+s9//mP2XtWqVfXaa69lG+v5559X6dKl044jIiLUsmVLLV++XIZhpJ2PjIzUyJEjNWnSJLP+kyZNUrFixaz9EQHArVyOvqwpf0xR5amV9ej3j2rDqQ1Ztp++bbrNc/Dz9tOJp0/ov4/8Vy0rtGSrRQAAAAAAALg8L2cn4AwrV67UmjVrtGHDBh05ckRRUVFm7/v5+Sk4OFiNGzdW69at1bNnT7NCDcxt3rxZmzdvliQVKFBA5cuXV5EiReTp6amrV6/q5MmTSklJuadf6dKl9dtvv6l48eLZxihWrJi+/fZbde7cWXFxcZKkU6dOqWfPngoMDFTlypV148YNnT59WsnJ5tuK9ezZUxMmTLDBTwoArmnnuZ2avm26vjnwjeKT4y3u97+I/+ngpYOqW6quTfPx8/az6XgAAAAAAACAPeWrYtnixYv17rvv6u+//5YksxVJd4uJidHhw4f1999/67///a/GjBmj7t27a9KkSWratKkjU3Y78fHxOn78eLbtHnroIS1YsEClSpWyeOw2bdrol19+Ue/evXXt2rW08zdu3NDu3bsz7NOvXz/Nnz+flQ0A8pyE5AQtPbRU07dN11+Rf+V4nM+2fabPu31uw8wAAAAAAAAA95IvtmGMiYlR7969NXDgQB0+fFiGYaQVykwmU4YvSWntUlJStHz5cjVv3lyjR49WfLzl39rPyyZNmqSRI0eqbt268vT0zLZ9QECAevfurQ0bNuiXX36xqlB2x/33369Dhw5p1KhRKliwYKbtGjdurKVLl+qrr75SgQIFrI4DAK7q/O3zemP9Gwr+NFj9fuiXq0KZJC3at0g34m7YJjkAAAAAAADADZmMzJZXOdjjjz+utWvXZtvuueee04svvmjxuDdv3lT79u21d+9eswLZ3dL/EWS0CunuviEhIfrtt99UokQJi/PI62JiYnTo0CGdPHlS58+fV1RUlFJSUhQYGKiiRYuqTp06ql+/vkVFNUvFxsZq8+bNOnz4sG7cuCEfHx+VK1dOYWFhqlatms3i2NLBgwdVr169tOMDBw6obl3bbn8GIO8xDENbIrdo+rbpWnJoiRJTEm06/n86/UfPtnjWpmMCAAAAAAAA1nDm5+cuUywrVqyYbty4kWUbDw8PHTt2TJUqVbJ43C5dumjlypVmBTBrf+SM+jZu3FgbNmxQQECAVWMhf6NYBsAacUlx+vbAt5q+bbp2nt9ptzhVi1bVP+P+kYcpXyw4BwAAAAAAgAty5ufnLvGp2IEDB3Tjxo0st0Q0mUx64IEHrCqUzZ4926xQdvf2i9ZIv22jJO3Zs0ejRo2yeiwAALITeStSk9ZOUoVPKmjQskF2LZRJ0vHrx/Xb0d/sGgMAAAAAAABwVS5RLPvjjz8sajdy5EiLx7x9+7ZeeeUVs0JZbt0pmplMJhmGoa+//lorV67M9bgAABiGoQ0nN6j3971V6dNKmvLnFF2JueKw+NO3TXdYLAAAAAAAAMCVeDk7AUnavHlz2n/fXdS6e/vDIkWKqHv37haPOWPGDF25ciWtsGVrd8Z98cUX1blzZ5uPDwDIH2ISY/TVvq/02fbPtO/iPofH9/f214CGAzQ2dKzDYwMAAAAAAACuwCWKZXv37s30vTsruR588EF5eFi2EC4lJUXh4eFmxTZbupOTJO3bt0/r1q1T+/bt7RILAJA3RVyPUPj2cM3bPU/X4647PH61YtU0ttlYDWo0SEV8izg8PgAAAAAAAOAqnF4sS0pK0pEjR7ItbFmzqmzVqlWKjIy026qy9L744guKZQCAbBmGoTUn1uiz7Z9pxZEVMmT/v6PS61Kti8aFjlPnap3lYXKJ3ZgBAAAAAAAAp3J6sezIkSNKTEy8p7B1d/HM09NTXbp0sXjM7777zqocsirUZVVsu5Pzzz//bLbaDACAu92Ov61Fexfps+2f6e8rfzs8fuEChTW40WCNaTZG1YtXd3h8AAAAAAAAwJU5vVh24MCBTN+7U6iqXbu2AgMDLRrPMAytWLHC4sLVnXYZFcVMJlOmq9PuLo5dv35de/fuVaNGjSyKCQDIH/65+o9mbJuhhXsX6lb8LYfHr12itsaFjlP/hv0V4BPg8PgAAAAAAACAO3D6/ksRERFZvm8ymdS4cWOLx9u1a5euXr0qKftVYXeKXYULF9Z7772nf/75R9HR0Tp9+rRmzZql0qVLp7XNzl9//WVxjgCAvCvFSNGvR39Vl6+6qOZnNTVt2zSHFso8TB7qWbOn1vRfo4OjD2pUs1EUygAAAAAAAIAsOH1l2dmzZ7NtY02xbMOGDdm2uXs1WaFChfTHH3+oXr16ae+XL19ew4YNU48ePdSyZUudPHky2+efHTx40OIcAQB50/qT6zV0+VAdv37c4bGL+hbV0JChGt1stCoFVnJ4fAAAAAAAAMBdOb1YFhkZmW2bBg0aWDyepSu87myj+MYbb5gVyu4WFBSkhQsXqm3bttmuLjt27JjFOQIA8qayhco6vFDWMKihxoWO0+P1H1dB74IOjQ0AAAAAAADkBU7fhtGSlWWlSpWyeLxt27ZlWdi6+73AwECNHDkyy/Fat26t++67z+wZZekZhqFz585ZnCMAIG+qUbyGOlftbPc4niZP9a7TWxsHbdTuEbv1VMhTFMoAAAAAAACAHHJ6sezq1avZrtoqVqyYRWNdunRJZ86ckZT188ruFL7+9a9/yc/PL9txe/Xqlel7d3K/fPmyRTkCAPK2caHj7DZ2yYIlNan1JJ185qS+6/2dWge3tui5mgAAAAAAAAAy5/RtGGNjY7NtU7RoUYvG2rFjh1Wx//Wvf1nUrlmzZtm2iYqKsio2ACBv6lK9i6oWrWrT7RiblW2mcaHj1Ltub/l6+dpsXAAAAAAAAAAusLLMkmKZj4+PRWNt3749y/fv/va9p6en2rZta9G41apVy7ZNfHy8RWMBAPI2D5OHxjQbk+txvD289UT9J7TlqS3aNmyb+jfsT6EMAAAAAAAAsAOnF8tiYmKybRMdHW3RWJasLLuzPWNISIgCAgIsGjcwMNCidgAASNLgxoNz/AyxMgFlNLndZJ1+9rQWP7xYYeXDbJwdAAAAAAAAgLs5fRvGlJSUbNtcv35dhQoVyrbd1q1bLXp2i8lkUosWLSzKT5J8fbP/Jr+/v7/F4wEA8rZA30D1b9Bfs3bOsrhPywotNS50nB6u/bB8PC1bUQ0AAAAAAAAg95y+sqxAgQLZtomIiMi2zZEjR3TlyhVJ/7d6LCvWFMvi4uKybWPpKjUAgOuIT4rX4n2LdebmGZuPPTZ0bLZtCngW0KBGg7Rz+E5tGrJJfev1pVAGAAAAAAAAOJjTi2WWrBjbtWtXtm1+//13q+JaUyyLiorKtg0rywDAfZy7fU6vrXtNFT+tqP4/9lf49nCbx6hXqp7aV2qf4XsVClfQux3eVeRzkVrQc4FCyoTYPD4AAAAAAAAAyzi9WBYUFJTtSjBLCmHfffddlu/fvT1jmTJlVKFCBcsSlHT27NlM37uTuyVFPwCA8xiGoT9P/6k+S/oo+NNgvbXxLV2KviRJmrNrjmITY20ec1zoOLPjdpXaaeljS3Vi/Am9eN+LKlGwhM1jAgAAAAAAALCO059ZVrFiRe3bty/D90wmkwzD0Nq1a3X48GHVrl07w3bbt2/XX3/9ldY+M4ZhyGQyqXXr1lblePLkySzfN5lMKleunFVjAgAcIzYxVv898F9N3zZdey7sybDN1dir+ubANxrceLBNY3ev2V21S9RW64qtNTZ0rOoH1bfp+AAAAAAAAAByz+nFsjp16ujnn3++5/ydwpYkpaSk6Mknn9S6detUuHBhs3YxMTEaOXKkVTE7duxoVfv9+/dn26Zq1apWjQkAsK9TN04pfHu45u6eq2ux17JtP33bdA1qNMhsJXJueXl4af+o/fL08LTZmAAAAAAAAABsy+nFsiZNmmT63t0Fsz179qhx48aaOHGiWrRoIT8/P+3evVvvvPOODhw4kO2qsrs98MADVuW4e/fubNtQLAMA5zMMQ+tOrtP0bdO1/MhypRgpFvfdfWG3Np/ZrFYVW9k0JwplAAAAAAAAgGtzerGsTZs2Wb5/p2BmGIYiIiI0ZsyYe96/+38zcvcqgRo1aqhixYpW5fjnn39mu9KgWrVqVo0JALCdmMQYfbn3S03fNl0HLx/M8TjTt023ebEMAAAAAAAAgGtzerEsKChIzZs315YtWzJdHXb3CrOM3rdkVdmdMQYOHGhVfnv37tWVK1eyjVGjRg2rxgUA5N7pm6c1Y9sMzdk1R9fjrud6vKWHl+rc7XMqW6isDbIDAAAAAAAA4A48nJ2AJD3xxBPZtrlTqDKZTPe8LF1V5uXlpcGDB1uV27Jly7Idt1SpUqpUqZJV4wIAcsYwDP15+k/1/r63qkytog82f2CTQpkkJaUkaeaOmTYZCwAAAAAAAIB7cIli2eDBg1W0aFFJynK7Q8MwMnxl586qsl69eikoKMiq3JYsWZJpTnfGbdWKLbsAwN7ik+K1aO8iNZ3TVK0XtNaSQ0uUbCTbPM6snbMUnxRv83EBAAAAAAAAuCaXKJYVLFhQL7/8skWFL2vcXeTy9vbWlClTrOq/f/9+HThwQFLWz0S77777cpYgACBbF6Iu6I31byj402AN/Gmgdp3fZdd4l6Iv6ftD39s1BgAAAAAAAADX4RLFMkkaP368GjduLCnr1WXWurP6a9y4capatapVfefMmWNRO1aWAYDt7Ty3UwN+HKCKn1TU5A2TdTH6osNih28Pd1gsAAAAAAAAAM7l5ewE7vDy8tJ3332n5s2b69q1a9k+iyw7dwpuJpNJTZo00VtvvWVV/+joaH355ZcZFu7uPle0aFE1adIkx3kCAP5PUkqSfjz8o6ZunapNZzY5PH5xv+Ia3mS4RjYd6fDYAAAAAAAAAJzDZYplklS1alWtXLlSnTt3TiuYSVlvgZiRu/uVL19ey5Ytk6+vr1VjzJ07Vzdv3sy0aHdnxVqPHj3k4eEyC/QAwC1di72mOTvnaMb2GTpz64zD44eUCdG40HHqW6+vfL2s+/sCAAAAAAAAgHtzqWKZJIWEhGjLli3q3bu39uzZI5PJZLaSK7PCWfoVYIZhKCwsTEuWLFGZMmWsyiEpKUmffPKJ2eq0zDzyyCNWjQ0A+D8HLx3UtK3T9OW+LxWbFOvQ2F4eXnq0zqMaFzpOLcq3sOkWwAAAAAAAAADch8sVy6TUFWbbt2/XtGnT9OGHH+rChQuSdE/hLL07hbSiRYvqmWee0Ysvvihvb2+r48+bN0+nT5/O9oPTQoUKqVOnTlaPDwD5WYqRol+P/qqpW6dqzYk1Do8f5B+kEU1GaETTESpbqKzD4wMAAAAAAABwLS5ZLJMkT09PPfvssxozZoxWrFihH3/8UZs2bdKpU6cybB8YGKg2bdqoc+fOGjBggPz9/XMU1zAM/fTTT6pbt262bTt27JijYhwA5Ee3429rwZ4Fmr5tuo5dO+bw+M3LN9fYZmPVu25v+Xj6ODw+AAAAAAAAANfkssWyO3x8fPTII4+kbXcYHR2t06dP69atW0pOTlbRokVVvHhxlSxZ0iZbaJlMJv3222+5HgcAkOr4teOavm265u+er9sJtx0a28fTR33q9tHTYU+radmmDo0NAAAAAAAAwD24fLEsPX9/f9WuXdvZaQAAsvH3lb/1/Orn9fM/P8tQxs+btJcg/yCNajpKI5uOVFBAkENjAwAAAAAAAHAvblcsAwC4Bx9PH4cXypqUaaLxYeP1WN3HVMCrgMPiAgAAAAAAAHBfFMsAAHZRpWgV9ajZQ8uOLLNrHE+Tpx6u/bDGh41XywotbbIlLwAAAAAAAID8g2IZAMBuxoeNt1uxrJhfMQ0LGaYxzcaoQpEKdokBAAAAAAAAIO+jWAYAsJt2ldqpQVAD7bu4z2Zj1i1ZV+PDxuuJBk+ooHdBm40LAAAAAAAAIH/ycHYCAIC8y2Qy6enQp3M/jkzqXqO71vRfo/2j9mtYk2EUygAAAAAAAADYBMUyAIBd9avfT8X9iueobyGfQhofNl7/jPtHyx9frg5VOvBMMgAAAAAAAAA2RbEMAGBXft5+GtFkhFV9qhatqqkPTlXkc5H69MFPVa1YNTtlBwAAAAAAACC/o1gGAEhzPfa6rsRcsfm4o5uNlpdH9o/J7Filo1Y8vkL/jPtHT4c9rcIFCts8FwAAAAAAAAC4G8UyAIAOXz6sUT+PUvlPymvKH1NsPn65wuX0aJ1HM3zPz8tPw0OG68CoA1rdf7W61egmDxN/PQEAAAAAAABwjOy/5g8AyJNSjBStPLZSU7dO1crjK9POz9s9T5PbTVahAoVsGm982Hh9c+CbtOMKhStoTLMxGhoyVMUL5uyZZgAAAAAAAACQWxTLACCfiUqI0sI9CzV923T9c/Wfe96/FX9LX+z9QmNDx9o0bvPyzRVaLlTeHt4aHzZe/6r9L4u2ZgQAAAAAAAAAe+JTSgDIJyKuR2j6tumat3uebsXfyrLttK3TNLrZaJtvh7im/xqbr1gDAAAAAAAAgNygWAYAeZhhGFp/cr2mbp2q5UeWy5BhUb+j147q92O/66HqD9k0HwplAAAAAAAAAFwNxTIAyINiE2P19f6vNW3bNO27uC9HY0zdOtXmxTIAAAAAAAAAcDUUywAgDzl766zCt4dr9q7ZuhJzJVdjrTq+SocvH1btkrVtlB0AAAAAAAAAuB6KZQCQB2yJ3KKpW6dqyaElSkpJstm407ZO0+fdPrfZeAAAAAAAAADgajycnQAAIGcSkxP13/3/VdjcMLWY10LfHPjGpoUySVq0b5Gux1636ZgAAAAAAAAA4EpYWQYAbuZy9GXN2jlLn+/4XOdun7NrrJjEGM3dNVcTW020axwAAAAAAAAAcBaKZQDgJvZe2KupW6fq6/1fKz453mFxP9v+mZ5t8ay8PPgrAwAAAAAAAEDewyefAODCklOStfzIck3dOlUbTm1wePzKgZU1LnScklOSKZYBAAAAAAAAyJP45BMAXNCNuBuat2uePtv+mU7eOOnw+PdXvl/jw8ara/Wu8vTwdHh8AAAAAAAAAHAUimUA4EKOXDmiaVun6Yu9Xyg6MdqhsX29fPVk/Sf1dNjTqh9U36GxAQAAAAAAAMBZKJYBgJOlGCladXyVpm6dqt+P/e7w+OUKldOYZmM0rMkwlShYwuHxAQAAAAAAAMCZKJYBgJNEJURp0d5Fmr5tuv6+8rfD47co30Ljw8br4doPy9vT2+HxAQAAAAAAAMAVUCwDAAc7eeOkPtv2mebumqub8TcdGtvLw0t96vbR+LDxalaumUNjAwAAAAAAAIArolgGAA5gGIY2ntqoqVunatmRZUoxUhwav2TBkhrZdKRGNh2psoXKOjQ2AAAAAAAAALgyimUA4ABXY6+q8+LOik+Od2jcRqUbaXzYePWt11e+Xr4OjQ0AAAAAAAAA7oBiGQA4QImCJfR4/ce1cM9Cu8fyMHmoV61eGh82Xq0rtpbJZLJ7TAAAAAAAAABwVxTLAMBBxoeNt2uxLNA3UEMbD9WY0DGqFFjJbnEAAAAAAAAAIC+hWAYADtKodCO1CW6jjac22nTcWiVq6enQp9W/YX8F+ATYdGwAAAAAAAAAyOsolgGAA40PG2+zYlmXal00Pmy8Hqj6gDxMHjYZEwAAAAAAAADyG4plAOBAPWv2VHCRYJ26eSpH/f29/TWo0SCNCx2nmiVq2jg7AAAAAAAAAMh/WIoAAA7k6eGpsaFjre5XKbCSPu70sSKfi9RnD31GoQwAAAAAAAAAbIRiGQA42FONn1JB74IWtW1XqZ1+7POjjo07pudaPKdA30D7JgcAAAAAAAAA+QzbMMJtxcXFafPmzfr77791/fp1+fj4qHz58goLC1OVKlWcnR7c3NGrRzV923RJ0rQu02w6dlG/ohrYcKA+3/F5hu8X8CygJ+o/oafDnlbD0g1tGhsAAAAAAAAAYI5iGRzi8ccf1zfffGN2Ljg4WCdPnrR6rMuXL2vy5MlauHChoqOjM2zTpEkTvfrqq+rZs2dO0kU+ZRiG1pxYo6lbp+rXo7/KkCEfTx+90uYVlfIvZdNYT4c9fU+xrGyhshrddLSGNxmukv4lbRoPAAAAAAAAAJAxtmGE3a1YseKeQllOrV+/XnXq1NGMGTMyLZRJ0s6dO9WrVy8NHDhQCQkJNomNvCsmMUazdsxSvc/rqdPiTvrl6C8yZEiSEpITNGvHLJvHrFWiljpX7SxJCisXpq8f/loR4yM0qc0kCmUAAAAAAAAA4ECsLINd3bx5U6NGjbLJWH/++aceeughxcbGmp0PDAxU5cqVdf36dZ05c0bJyclp7y1atEhRUVFasmSJTCaTTfJA3nH65mnN2DZDc3bN0fW465m2C98Rrhfue0E+nj42jT+lwxRNbjdZYeXDbDouAAAAAAAAAMByrCyDXU2cOFFnz56VJPn7++d4nOvXr6tPnz5mhbLg4GD99NNPunbtmnbt2qWIiAidPHlSI0aMMOv7ww8/6JNPPslxbOQthmHoz9N/qvf3vVVlahV9sPmDLAtlknQh6oK+P/i9zXMJKRNCoQwAAAAAAAAAnIxiGexm/fr1mjt3riTJw8NDr7/+eo7H+vDDD3Xu3Lm048qVK2vz5s3q2bOn2Yqx8uXLa+bMmXrnnXfM+r/55pu6fj3rggjytvikeC3au0hN5zRV6wWtteTQEiUbydl3/P+mbp0qwzDsmCEAAAAAAAAAwBkolsEuYmNjNXTo0LTiwrhx49SsWbMcjXX58mVNnz7d7NycOXNUtmzZTPu89NJLatOmTdrxzZs39dFHH+UoPtzbhagLemP9Gwr+NFgDfxqoXed35Wic7ee2a0vkFhtnBwAAAAAAAABwNoplsItXX31Vx48flyRVrFhRb7/9do7H+uabbxQVFZV23KZNG3Xo0CHLPiaT6Z6VbPPnz2dlUD6y89xODfhxgCp+UlGTN0zWxeiLuR5z6tapNsgMAAAAAAAAAOBKKJbB5rZv365PP/007XjGjBkKCAjI8XjLli0zO37qqacs6te+fXtVrlw57fjChQvasoWVQXlZUkqSvj/4ve6bf5+azmmqL/d9qcSURJuNv+TQEkXeirTZeAAAAAAAAAAA56NYBptKTEzUU089peTk1GdB9e7dW926dcvxeFFRUdq4caPZuU6dOlnU12QyqWPHjmbnfv755xznAtd1Lfaa3v/zfVWZWkWPLXlMm85sskucZCNZ4dvD7TI2AAAAAAAAAMA5KJbBpt59913t379fkhQYGKhp06blaryDBw8qMfH/VgZVrlxZpUuXtrh/q1atzI737NmTq3zgWg5eOqgRK0ao/H/K68W1L+rMrTN2jzl752zFJsbaPQ4AAAAAAAAAwDG8nJ0A8o5Dhw7pnXfeSTt+//33rSpsZeTw4cNmx3Xq1LGqf/r26ceD+0kxUvTr0V81detUrTmxxuHx/X38dezaMdUPqu/w2AAAAAAAAAAA26NYBptISUnRU089pYSEBElS69atNWzYsFyPe+TIEbPjChUqWNU/fftTp04pLi5Ovr6+uc4NjnUr/pYW7lmo6dum69i1Yw6P37pia40PG6+etXrKy4NbJwAAAAAAAADkFXziC5uYNm2atmzZIkny8fHR7NmzZTKZcj3upUuXzI7Lly9vVf+goCB5eXkpKSlJUmpR7+rVqypXrpxNcrt8+bJVfY4dc3yRx90dv3Zc07dN1/zd83U74bZDY/t4+ujxeo9rfNh4NS7T2KGxAQAAAAAAAACOQbEMuRYREaFXXnkl7fill15SrVq1bDJ2VFSU2bG/v79V/U0mk/z8/HT79v8VWdKPmVPh4eGaPHmyTcaCOcMw9L+I/2nq1qn6+Z+fZchwaPzSAaU1qukojWgyQkEBQQ6NDQAAAAAAAABwLIplyLXhw4crOjpaklSrVi29/PLLNhs7fWErJ9sn2qtYBtuLSYzRV/u+0rRt03Tg0gGHx29atqnGh43XY3Ufk4+nj8PjAwAAAAAAAAAcj2IZcmXevHlas2aNpNRVXLNnz5aPj+2KDHFxcWbHORm7QIECZsexsbG5ygm2d+bmGYVvD9fsXbN1LfaaQ2N7mjz1aJ1H9XTY02pRvoVNtg8FAAAAAAAAALgPimXIsfPnz2vChAlpx0OHDlXr1q1tGiP9SrKEhASrx4iPj89yzJwaPXq0evfubVWfY8eOqVevXjaJ7+4Mw9BfkX9p6tapWnpoqZKNZIfGL+ZXTCOajNDoZqNVvrB1z8IDAAAAAAAAAOQdFMuQY2PGjNGNGzckSaVLl9YHH3xg8xgBAQFmx+lXmlki/Uqy9GPmVKlSpVSqVCmbjJXfGIahTos7ac2JNQ6PXbdkXY0PG68nGjyhgt4FHR4fAAAAAAAAAOBaKJYhR77//nv9+OOPacdTp05VYGCgzeOkL2zdeTaapQzDsFuxDDlnMplUr2Q9hxXLTDKpW41uGh82XvdXvp+tFgEAAAAAAAAAaTycnQDc08SJE9P+u2vXrnrsscfsEif9yq3IyEir+l+8eFFJSUlpxx4eHipRooRNckPujAsbJ5PsW7Qq5FNI48PG6+i4o1r++HJ1qNKBQhkAAAAAAAAAwAwry5Ajd7ZflKRffvklRwWIU6dO3dNv9+7datSoUdpxzZo1zd4/ffq0VTHStw8ODrbZM8uQO1WKVlH3mt21/Mhym49drVg1jQsdp0GNBqlwgcI2Hx8AAAAAAAAAkHdQLINLq1WrltnxoUOHrOp/+PDhLMeDc40PG2/TYlnHKh31TNgz6lK9izxMLJwFAAAAAAAAAGSPYhlcWt26deXt7a3ExERJ0smTJ3X+/HmVKVPGov6bNm0yO7571Rqcr32l9qpXqp4OXDqQ4zH8vPw0oOEAjQsdp7ql6towOwAAAAAAAABAfkCxDDmybNmytAKWpfbu3asJEyakHQcFBWnx4sVmbapVq2Z2XKhQIbVp00Zr165NO7d69WoNGDAg23iGYWjNmjVm57p3725VzrAvk8mk8WHjNWzFMKv7VihcQWNDx2poyFAV8ytmh+wAAAAAAAAAAPkBxTLkSNu2ba3u4+Vlfrn5+vqqY8eO2fbr0aOHWbFs3rx5FhXL1q1bp4iIiLTjoKAghYWFWZExHOGJ+k/oxTUv6mrsVYvat6rQSuPDxutftf8lLw9uYQAAAAAAAACA3OGhPnB5ffv2lb+/f9rxxo0b9b///S/LPoZhaPLkyWbnBg8eLA8PLnlX4+ftp+FNhmfZxtvDW/0b9NeOYTv055A/1btubwplAAAAAAAAAACboHIAl1eqVCmNHTvW7NzQoUN17ty5TPu8++672rhxY9pxkSJFNHHiRLvliNwZ3Wy0PE2e95wv5V9Kr7d9XaefPa1F/1qkJmWbOCE7AAAAAAAAAEBeRrEMbuH5559X6dKl044jIiLUsmVLLV++XIZhpJ2PjIzUyJEjNWnSJLP+kyZNUrFiPNfKVZUvXF6P1nk07TikTIi+6PWFTj9zWm+0e0OlA0pn0RsAAAAAAAAAgJxjHzO4hWLFiunbb79V586dFRcXJ0k6deqUevbsqcDAQFWuXFk3btzQ6dOnlZycbNa3Z8+emjBhgjPShhWeaf6Mko1kPRP2jFpWaCmTyeTslAAAAAAAAAAA+QAry+A22rRpo19++eWeFWI3btzQ7t27FRERcU+hrF+/fvr2228pvLiB5uWb6/ve36tVxVb8vgAAAAAAAAAADkOxDG7l/vvv16FDhzRq1CgVLFgw03aNGzfW0qVL9dVXX6lAgQIOzBAAAAAAAAAAALgTtmGEw7Rr187s+WI5FRQUpPDwcH388cfavHmzDh8+rBs3bsjHx0flypVTWFiYqlWrZoOMAQAAAAAAAABAXkexDG7Lz89PHTp0UIcOHZydCgAAAAAAAAAAcFNswwgAAAAAAAAAAIB8i2IZAAAAAAAAAAAA8i2KZQAAAAAAAAAAAMi3KJYBAAAAAAAAAAAg36JYBgAAAAAAAAAAgHyLYhkAAAAAAAAAAADyLYplAAAAAAAAAAAAyLcolgEAAAAAAAAAACDfolgGAAAAAAAAAACAfItiGQAAAAAAAAAAAPItimUAAAAAAAAAAADItyiWAQAAAAAAAAAAIN+iWAYAAAAAAAAAAIB8i2IZAAAAAAAAAAAA8i2KZQAAAAAAAAAAAMi3KJYBAAAAAAAAAAAg36JYBgAAAAAAAAAAgHyLYhkAAAAAAAAAAADyLYplAAAAAAAAAAAAyLcolgEAAAAAAAAAACDfolgGAAAAAAAAAACAfItiGQAAAAAAAAAAAPItimUAAAAAAAAAAADItyiWAQAAAAAAAAAAIN+iWAYAAAAAAAAAAIB8i2IZAAAAAAAAAAAA8i2KZQAAAAAAAAAAAMi3KJYBAAAAAAAAAAAg36JYBgAAAAAAAAAAgHyLYhkAAAAAAAAAAADyLS9nJwDkJ/Hx8WbHx44dc1ImAAAAAAAAAAC4jvSfl6f/PN2eKJYBDnTmzBmz4169ejknEQAAAAAAAAAAXNiZM2cUEhLikFhswwgAAAAAAAAAAIB8i2IZAAAAAAAAAAAA8i2TYRiGs5MA8osbN25ow4YNaccVKlRQgQIFnJgR0jt27JjZ9pg//fSTqlWr5ryEADviekd+wvWO/ITrHfkJ1zvyC6515Cdc78hPuN7NxcfHmz3KqG3btgoMDHRIbJ5ZBjhQYGCgevbs6ew0YIVq1aqpbt26zk4DcAiud+QnXO/IT7jekZ9wvSO/4FpHfsL1jvyE610Oe0ZZemzDCAAAAAAAAAAAgHyLYhkAAAAAAAAAAADyLYplAAAAAAAAAAAAyLcolgEAAAAAAAAAACDfolgGAAAAAAAAAACAfItiGQAAAAAAAAAAAPItimUAAAAAAAAAAADItyiWAQAAAAAAAAAAIN+iWAYAAAAAAAAAAIB8i2IZAAAAAAAAAAAA8i2KZQAAAAAAAAAAAMi3vJydAAC4kpIlS+r11183OwbyKq535Cdc78hPuN6Rn3C9I7/gWkd+wvWO/ITr3XWYDMMwnJ0EAAAAAAAAAAAA4AxswwgAAAAAAAAAAIB8i2IZAAAAAAAAAAAA8i2KZQAAAAAAAAAAAMi3KJYBAAAAAAAAAAAg36JYBgAAAAAAAAAAgHyLYhkAAAAAAAAAAADyLYplAAAAAAAAAAAAyLcolgEAAAAAAAAAACDfolgGAAAAAAAAAACAfItiGQAAAAAAAAAAAPItimUAAAAAAAAAAADItyiWAQAAAAAAAAAAIN+iWAYAAAAAAAAAAIB8i2IZAAAAAAAAAAAA8i0vZycAAK4oMTFRR44c0cGDB3Xx4kXdvn1bAQEBKl68uBo0aKB69erJw4PvGwA5dfXqVW3atEnHjx9XdHS0/P39VbVqVbVq1UrFixd3dnoAkKcYhqFdu3Zpz549unTpkiQpKChIDRs2VEhIiEwmk81icX+HMzB3B+yLezuAvO7IkSPau3evIiMjFRMTIz8/PwUFBalGjRpq2LChChQo4NB8mL87iQEALqhv376GJLNXcHCwXWOeOHHC+OCDD4wHHnjA8PPzuyf+3a8iRYoYY8aMMf755x+r4yxYsCDLsbN7tW3b1vY/PJzKGdd727Ztc3UdLliwIEdx9+zZY/To0cPw8PDIcFxPT0+jR48ext69e237AwOADb3++uu5uocOHDjQIXkmJCQYH374oVGuXLlMcylfvrzx0UcfGQkJCbmKxf09b3Lla525O2zNla935u4AYHu3bt0y3nnnHaNy5cpZ3kN9fHyM++67z/j000/tnhPzd+fiq1UAXM6KFSv0zTffOCxefHy8mjdvripVquj555/X6tWrFRsbm2WfmzdvasaMGapXr54++ugjGYbhoGyR1zj6enemqVOnqmnTplq+fLlSUlIybJOcnKzly5erSZMmmj59uoMzhCM8/vjjMplMZq9KlSrZLV6lSpXuiZfT16BBg7KMtXDhwlyN365dO7v9OSD/OXPmjMLCwjRx4kSdPXs203aRkZGaMGGCWrRokWW7rHB/hyMxdwccg3t73vbGG2/YdV6cU8zd4Sg///yzqlevrkmTJikiIiLLtgkJCfrzzz/17rvv2jUn5u/OR7EMgEu5efOmRo0a5dCYiYmJ2rp1a4bv+fr6qnLlymrWrJnq1KkjHx8fs/cTEhI0ceJEjR071hGpIo9xxvXuLP/5z3/0zDPPKCkpyex8mTJl1KRJE5UpU8bsfFJSkp5++mlNmzbNkWnCzty9OJz+7wDAVV26dEnt27fX7t27zc77+fmpbt26ql27tnx9fc3e27lzp9q3b68rV65YFYv7OxyNuTtgf9zbkRcwd0dmPvnkE/Xo0UMXL140O+/r66sqVaooNDRU9evXV4kSJRyWE/N318AzywC4lLu/PeHv76/o6GiH51C5cmUNHDhQDzzwgJo1ayZvb++092JjY7V06VK98sorOnXqVNr58PBw1a5dO0f/8J44caI6depkcfuiRYtaHQOuyRWu9ztWr15tVfu6deta3Hbz5s16/vnnzc61a9dOH3/8sUJCQtLO7dixQxMmTNCGDRvSzv373/9W8+bNFRoaalV+cD15oTjcrVs3Z6cAF/XRRx+pYcOGFrcvW7asHbORBg0apOPHj6cd+/r66r333tOwYcNUsGBBSVJ0dLRmz56tl19+WXFxcZKko0ePasiQIVq+fLlFcbi/5z+udq1LzN1hP654vd/B3B3IHnN3ZGTevHl67rnnzM516dJFTz/9tNq3b3/Ps8nOnTun//3vf/rpp5+0bds2u+XF/N01UCwD4DLWr1+vuXPnSpI8PDz0+uuv33MDt6dWrVrptdde0wMPPJDpgzL9/Pz05JNPqmvXrurcubO2b9+e9t6rr76qfv36qVixYlbFrVOnjjp27Jir3OF+nH29p2fPa3DixIlKTk5OO+7evbuWLFlyzzf9mjZtqlWrVunhhx/WL7/8Iin1G0wTJ040m6DBPTmrOPzVV19luz1XRpYsWaJZs2alHZcqVUoPPfSQVWPwgWr+0aRJE5fZimfVqlX67bff0o69vb21cuVKtWnTxqydv7+/nn32WYWEhOiBBx5QYmKipNQVoOvWrVP79u2zjcX9Pf9xpWuduTvszZWu9/SYu8PWXKU4zNwd9nTs2DGzL8p4e3vriy++0OOPP55pn7Jly+rJJ5/Uk08+qevXr9slL+bvLsTZD00DAMMwjJiYGKNq1appD5EcP368sW7dOrMHSwYHB9sldnx8vPHzzz9b3e/s2bOGv7+/WY6zZ8/Otl/6h4Tn9GHLcF/OvN7vSP+QcHv59ddfzeIUL17cuHTpUpZ9Ll68aBQvXtys36pVq+yWI+xv3bp1hslkMiQZHh4exgcffODQ6z0nWrRoYZbjs88+m20f7u/5x+uvv272u163bp2zU0oTGhpqlturr76abZ9XXnnFrE/Lli2z7cP9PX9wxWuduTvsxRWv9zuYu8PWXPl6zwnm7rBE+/btzX7n3333nbNTMgyD+bsr4ZllAFzCq6++mrbcuGLFinr77bcdFtvHx0ddu3a1ul/ZsmU1cOBAs3MrV660VVrIw5x5vTvandVzd4wZM0YlS5bMsk+pUqU0evToLMeB+4iNjdXQoUNlGIYkady4cWrWrJmTs8raP//8o7/++svsnL0eYg7Y0v79+822h/H399fEiROz7ff888/L398/7Xjz5s06fPhwln24v8NZmLsD9sO9He6IuTsssWzZMq1bty7tuHfv3urdu7cTM0rF/N21UCwD4HTbt2/Xp59+mnY8Y8YMBQQEOC8hK7Ru3drs+PTp007KBO7Cna93a8XHx9/zIdSQIUMs6pu+3W+//aaEhASb5QbHccfi8MKFC82OGzdurAYNGjgnGcAKy5YtMzt+7LHHVKhQoWz7FSpU6J4PC3766adM23N/h7ti7g5kjns73BVzd1hi9uzZZsevv/66kzIxx/zdtVAsA+BUiYmJeuqpp9L2y+3du7dbPYQ1/R7VN2/edFImcAfufr1ba/369WbPpapZs6aCg4Mt6lupUiVVr1497fj27dt5e1/sPModi8MpKSn68ssvzc7xzVS4izvPE7jDmuduPPDAA2bHP//8c6Ztub/DXTF3BzLHvR3uiLk7LHH27FmzQlGjRo1Ut25dJ2b0f5i/uxaKZQCc6t1339X+/fslSYGBgZo2bZqTM7LO2bNnzY6LFy/upEzgDtz9erfWnj17zI5btmxpVf9WrVplOR5cm7sWh9euXavIyMi0Y29vb/Xr18+JGQGWMQxD+/btMztnzX03/T137969adunpsf9He6KuTuQOe7tcEfM3WGJ33//Pe3fpZLUvn17J2bzf5i/ux4vZycAIP86dOiQ3nnnnbTj999/X6VLl3ZiRtb7448/zI5r1KiRo3GSk5N14sQJXb58WSaTScWLF1eZMmUsWnoN9+AO1/vNmzd16tQp3bhxQwEBASpevLjKly8vT0/PHI2Xfr/sOnXqWNU/ffvs9t+Ga3HX4vAXX3xhdtytWzeVKFHCSdnAncTHx+vEiRO6evWqvL29Vbx4cZUtW1YFCxZ0SPxTp04pJiYm7djf318VK1a0uH9wcLAKFiyYNkZ0dLTOnDmT4Rjc3/M3Z1/rucHcHdZy5euduTvA3B2W2b59u9lxw4YN0/579+7dWrBggTZs2KDTp08rPj5epUqVUvXq1dW5c2c9/vjjKleunF3yYv7ueiiWAXCKlJQUPfXUU2l73LZu3VrDhg1zclbWuXXrlpYsWWJ27qGHHrJ6nClTpujpp5/W7du3zc57eHiofv36euCBBzR27FiLl0fD9bjD9d64cWPt27dPKSkpZucDAgLUqlUrPfLIIxowYIAKFChg8ZhHjhwxO65QoYJVOaVvn348uC53KA5n5NatW/rxxx/NzuV2Gxc+UM0fxowZoxMnTiguLs7svJeXl5o0aaIuXbpo9OjR2T5AOzdye8+90+fucY4cOZLhP7a5v+dfrnCt5xRzd1jLla935u6wB1cuDmeEuTsslb5YVqVKFUVFRWn8+PGaP3/+Pe1PnTqlU6dOac2aNXrttdf0zDPPaPLkyfL29rZpXszfXQ/bMAJwimnTpmnLli2SJB8fH82ePVsmk8nJWVnn7bffVlRUVNpxiRIlcrTF2NGjR+/5x7aUWmDZu3evPvroI1WrVk2jRo1SbGxsrnKGc7jD9b5nz557/rEtSVFRUVq5cqWGDx+uSpUq6fvvv7d4zEuXLpkdly9f3qqc0n97K/14cE3uUBzOzHfffWf2zb6goKAcfZB6x5QpU1S0aFHVqFFDrVq1UsuWLVWzZk0FBgaqUaNGmjhxok6dOmWL1OFkhw4duufDVElKSkrS1q1b9cYbbyg4OFivvfaa2RYwtpTbe65k+X2X+3v+5QrXek4xd4e1XPl6Z+4OWxszZowCAwNVp04dtW7dWs2bN1f16tVVpEgRNW/eXJMnT9bly5ednaYZ5u6w1LFjx8yOPTw81KZNmwwLZenFxsbq3Xff1UMPPZTh3/+5wfzd9VAsA+BwEREReuWVV9KOX3rpJdWqVcuJGVlv8+bN+s9//mN27pVXXrHbN66SkpI0c+ZMhYWF6fz583aJAfvIC9f7HRcuXNBjjz2miRMnWtT+7g+kpNQtBayRvn368eCa3KE4nJn027g88cQT8vLK+UYMfKCKu8XGxuqtt95Sx44d7XI/y+09N6M+meXJ/R1Zsfe1nhPM3WEvrni938HcHdZw5eJwZpi7wxIpKSn3/F6ffvpp7d69W5JkMpnUvXt3ff7551qxYoW++eYbvfDCCypbtqxZnzVr1uR65WJ6zN9dD8UyAA43fPhwRUdHS5Jq1aqll19+2ckZWefSpUvq27ev2QSxWbNmGjt2rFXjNGrUSK+88op+/fVXnTx5UlFRUUpISNCFCxe0evVqTZgwQUWKFDHrs3//fnXv3j3tzw+uz5Wvd19fX3Xv3l3h4eHavHmzLl26pISEBN2+fVvHjx/X4sWL1bVr13sKHR999JHee++9bMdPP3ny9fW1Kj8/P78sx4Prcefi8PHjx/Xnn3+anbP1P4Yywgeq7stkMqlly5Z65513tHr1akVGRiomJkZxcXE6e/asVqxYoREjRtxz71u/fv098whbyO09V7L8vsv9PX9xtWvdWszdYQ1Xvt6Zu8PZXKk4zNwdlrp586YMwzA7t2vXLklS8eLFtWHDBi1fvlwjR45Ut27d1KdPH7333ns6cuSI+vXrZ9bvhx9+0KJFi2yWG/N3F2QAgAPNnTvXkGRIMkwmk7Fx48ZM265bty6trSQjODjYcYlmIi4uzmjZsqVZXoUKFTKOHj1q8Rh79+41du7caVHba9euGb169TKLJ8l47rnncvojwIFc+XpftmyZceXKFYva/vHHH0a5cuXM8jOZTMaePXuy7Ofh4WHW5/jx41blePz4cbP+np6eVvWH43Xs2DHt91WrVi0jPj4+w3aueH9/5ZVXzHIKCQmxeowFCxYYkoxGjRoZr7zyivHrr78aJ0+eNKKiooyEhATjwoULxurVq40JEyYYRYoUuefe3qRJEyMqKsoOPx1sbdOmTcaRI0csanvmzBmjVatW9/y+p02bZtOc3nzzTbPx+/fvb/UY/fv3NxvjrbfeyrAd9/f8wxWvdWswd4c1XPl6Z+4OW3v99dcNk8lktGzZ0njnnXeM1atXG5GRkUZMTIwRFxdnnD171lixYoUxYsQIw9fX955rvWvXrkZSUpLT8mfuDkudPn36nt/dnXvUli1bsuybnJxsdOrUyaxfzZo1jZSUFJvkxvzd9VAsA+Aw586dMwIDA9NurMOGDcuyvat9mJqcnGw8+uij9/zlsHz5crvHffjhh83i+vr6GpGRkXaNi9xx9+s9vaNHjxolSpQwy7Fbt25Z9ilYsKBZ+8OHD1sV89ChQ2b9/f39c/MjwM5cuTicnZSUFCM4ODjXH3bxgSoyExsba7Ro0cLsd12qVCkjOjraZjE++OADs/H79Olj9RiPPfaY2Rgffvhhhu24vyMzjrjWLcXcHfbmStd7eszdkR1XLg5nh7k7rHHp0qUMi2UjRoywqP/x48fvKTStW7fOJrkxf3c9bMMIwGHGjBmjGzduSJJKly6tDz74wLkJWWn06NFasmRJ2rHJZNKcOXPUvXt3u8b18PDQ3LlzFRgYmHYuLi7Oqoc1w/Hc/XpPr1q1avrwww/Nzv3666+6du1apn0CAgLMjjPaAz8r6feBTz8eXMf58+c1YcKEtOOhQ4eqdevWTszIOuvWrTN7WLePj889W25YokGDBgoJCbGobdGiRbV06VI9/PDDZufDw5WhaNsAADI8SURBVMN19uxZq2PDtfn6+mrRokVmz9G4dOmSVq1aZbMYub3nSpbfd7m/IzOOuNYtxdwd9uZK13t6zN2RnZYtW6pGjRoWtS1fvrzWrFmjFi1amJ1/++23FRMTY4/0ssTcHdbI7F40bNgwi/pXqVJFHTt2NDu3YcOGXOclMX93RRTLADjE999/rx9//DHteOrUqWb/gHR1L730kmbNmmV27uOPP9bgwYMdEr9o0aIaMmSI2TlX+EcYMubu13tmBgwYoJIlS6Ydp6SkaM2aNZm2Tz95svZ5Henb59XJWF7g7sXh9A8H79atm4oXL273uHygmr9Uq1ZNPXr0MDtnz2JZTp6RZOl9l/s7smLva90SzN3hKK5wvWeGuTtsyZWKw8zdYQ0/Pz95enqanStUqJAaN25s8Rht27Y1O96xY4dNcmP+7noolgFwiIkTJ6b9d9euXfXYY485MRvrvPfee/c8EPm1117Ts88+69A8OnToYHZ85MgRh8aH5dz5es+Kh4eH2rVrZ3Yuq+uwVKlSZseRkZFWxUv/Db3048E1uHtxOCoqSkuXLjU754iHg9/BB6r5iz3/Ls/tPVey/L7L/R3Zcea8lbk7HM1Vf9fM3WFrrlAcZu6OnEh/P6pWrZo8PCwvi9SsWdPs+NKlS3bJi/m781EsA+AQd1YcSNIvv/wik8mU7at9+/ZmY5w6deqeNnv27LFr3jNmzNBLL71kdm78+PGaPHmyXeNmpEKFCmbHly9fdngOsIy7Xu+WsOY6TD+hPH36tFWx0revVauWVf3hGO5eHP7+++/NviUXFBSkLl26ODQHV/2QDbZnz7/L099zz5w5Y/UY6ftkdt/l/o7sOGveytwdzuDKv2vm7rA1Z89bmbsjJ2rXrm12XLhwYav6p29//fr1XOckMX93RRTLACATixYt0rhx48zODRkyRJ988olT8vH29jY7TkxMdEoeyN+suQ7TT54OHTpkVazDhw9nOR5cg7sXh9Nv4/LEE0+YbS/jCK78IRtsy55/lwcHB8vPzy/tODo62ux5Htk5deqU2XNH/P3977k27+D+juw4Y97K3B3O4sq/a+busDVnz1uZuyMn6tSpY3YcHx9vVf/0z/cqWLBgrnOSmL+7IoplAJCBpUuXasiQITIMI+3cY489pjlz5shkMjklpwsXLpgd373/POAo1lyHjRo1MjvevHmzVbE2bdqU5XhAbkVERGjjxo1m5xz1PJu7ufKHbLAte/5dbjKZ1KBBA7Nz1tx3099zGzRokOmch/s7suPoeStzdziTK/+umbvD1pw5b2XujpwKCQkxO7548aJV/dNvu2irZ+Qxf3c9ji29A8i3li1bZvUEYu/evZowYULacVBQkBYvXmzWplq1ajbJ726//fab+vXrp+Tk5LRzXbt21eLFi63a09jW/vzzT7PjzL4tAudzp+vdWtZch+3atZO/v3/aNhn//POPTp06peDg4GzjnDx5UkePHk07LlSo0D3PXABy64svvjD7YLVJkyaqV6+ew/Nw5Q/ZYFv2/ru8W7du2rp1a9rx6tWr9fjjj1vUd/Xq1WbH3bt3z7Qt93dkx5HzVubucDZX/l0zd4etOXPeytwdOdW1a1d5eHgoJSVFUmrh9dq1aypWrJhF/Xfu3Gl2nH5Lw9xg/u5aKJYBcIi2bdta3Sf9UnpfX1917NjRVillaMOGDXrkkUeUkJCQdq59+/ZasmTJPd8ecqSkpKR7thtIv082XIe7XO/W2rBhg44fP252Lqvr0NfXV506ddKPP/6Ydm7+/PkWPTdk/vz5ZscPPvigfHx8rMwYjuCuxWHDMLRo0SKzc458OPjdXPlDNtjOjRs37nkgva3/Lu/Ro4deffXVtOPvv/9e06ZNU0BAQJb9bt++re+//97sXM+ePTNtz/0dWXHEtX4Hc3c4myOvd2sxd4c9OGveytwduVGqVCm1atVKf/zxR9q5H374QUOHDs22b1JSktl9UZJNC0XM312MAQAuat26dYaktFdwcLBd423fvt0oVKiQWczmzZsbt2/ftmtcS7z11ltmeUkyduzY4ey0YEOOvt6tFRUVZTRo0MAsx/r162fb7+effzbrU7x4cePSpUtZ9rl48aJRvHhxs36///67rX4UuABXuN7Xr19vloOPj49x9epVh+eRmJhoVKtWzSyXV1991eF5wP6eeuqpe665c+fO2TxOs2bNrL6eXnnllXvmP9nh/o7MOOpaZ+4OV+Co691azN1hD9evXzcCAwPNftfz5s1zSGzm7sitxYsXm/3eatSoYcTFxWXbLzw83Kxf4cKFjRs3btg0N+bvroNiGQCXlZsPU9P/43TdunVZtj9w4MA9N/9GjRoZ169fz9XPkF54eLixdu1aq/p8/PHHhslkMsutR48eNs0LzufI6/3pp582zp49a/H4ly9fNu6///574vzwww8W9W/evLlZv+7duxsJCQkZto2Pjze6detm1r5169YW5wr34ArFssGDB5vl8Mgjjzg8B8PgA1V39O6771r1O0pMTDSee+65e37PTz/9dLZ9rb2/G4Zh/Pbbb2Z9vL29jQ0bNmTafv369Ya3t7dZnzVr1lj0s3F/z9tc+Vpn7g5bc+Xrnbk7XIUzi8PM3ZFbycnJRv369c1+dwMHDjSSk5Mz7bNlyxYjICDArM+LL76YZRzm7+6NYhkAl+Wo4sG5c+eMsmXLmrX39/c3vv76a2P16tVWv7IycOBAQ5LRsGFD45133jF27tyZ4TdZoqOjjeXLlxtt2rS552cpXry4cezYMYv/LOAeHFksk2QUKFDA6NWrl7F48WIjIiIiw3anT582PvjgA6N06dL3xOjVq5fF+f3xxx+Gh4eHWf927doZO3fuNGu3Y8cOo23btmbtPD09jb/++sviWHAPjrzeMxIdHX3PaoQVK1ZYPc7d+EA1/7hzn2rZsqXx6aefGvv37zcSExPvaXfjxg3j66+/Nho1anTPdVu1alXjypUr2cbK6fXeqVMns36+vr7Gp59+akRHR6e1iYqKMj755BPD19fXrO1DDz1k8Z8F9/e8zVWvdebusAdXvd7vtGfuDlty5eJwRpi7w1bWrFlzz++wY8eO9/z/4caNG8bHH398T6GsRo0axq1bt7KMwfzdvVEsA+CyHPVhavo4uX1l5c4/uO9+eXl5GZUrVzYaNWpkhIaGGtWrV7/nGyJ3XoUKFTI2b95s8Z8D3Ieji2XpX4ULFzZq1qxphIaGGo0bN77nQ6i7X61btzZiYmKs+vnef//9DMcqW7as0aRJE6NMmTIZvv/xxx9bFQfuwdnFsi+++MJsjNKlS2f4gZg1+EA1/0j/j8Y7H2JWrVrVCAkJMZo1a2ZUqVLlnn+E3n29/fPPPxbFyun1fuHCBaNy5cr39Pfz8zPq1q1r1KlT555/ZEupH/RmtxVLetzf8y5XvdaZu8MeXPV6z6g9c3fklisXhzPC3B229N5772V6H2/atKlRu3Ztw8fHJ8Pf9759+7Idn/m7e/MSAMCpkpKSFBERkW27sLAwffXVV6pataoDskJ+c+vWLd26dSvLNh4eHpowYYLefvtteXt7WzX+888/L09PT73wwgtKTk5OO3/u3DmdO3funvaenp766KOP9Mwzz1gVB7DEF198YXb8xBNPyMvLNtPivXv3au/evZo0aZK8vLxUoUIFFSlSRD4+Prp+/bpOnjypxMTEe/oVKlRIK1as4B7vpuLj43X8+PFs2z300ENasGCBSpUqZdd8goKCtG7dOvXs2VN79+5NOx8bG6uDBw9m2KdRo0Zavny5SpYsaVUs7u/5i6td687A3D3/cOXrnbk7bGHz5s3avHmzJKlAgQIqX768ihQpIk9PT129elUnT55USkrKPf1Kly6t3377TcWLF3dInszdYUsvvPCCChYsqH//+99mv9sLFy7owoULGfapWbOmVqxYoerVq9stL+bvLsLZ1ToAyExeXFm2ZcsW45lnnjFCQkIy/Qbq3S9fX1/jwQcfNFasWGGkpKRY/PPD/Thypc3s2bONvn37GhUqVLDomi5durQxfvx44+jRo7n7IQ3D2L17t9G1a9dMv5Xr4eFhdOvWzdizZ0+uY8F1OXNl2alTp+7ZemP//v3W/QAZyGj1gaWvsLAwvpXqRlatWmWMHDnSqFu3ruHp6Znt7zcgIMDo3bt3ls8dyExur/f4+Hjj/fffz3LFQdmyZY0PPvjAiI+Ptzq/u3F/z3tc9Vpn7g57cNXr3TCYu8P2MlpJaenroYceMi5evGhxLObucFWHDx82+vTpk+Xf75UrVzamTp1q1TyZ+bt7MxmGYQgA4HAJCQk6fPiwIiIidO7cOd2+fVuJiYkqXLiwihYtqho1aqhx48by8fFxdqrIw65evarDhw/r1KlTunz5sqKjo+Xp6amiRYuqRIkSaty4sapUqWLzuFeuXNGff/6pEydOKDo6Wv7+/qpatapatWqlEiVK2DweXMv69evVvn37tOPg4GCdPHnSor4mk8nseN26dWrXrp3Fsd9++229+uqracdNmjTRjh07LO6fma1bt+qbb77Rxo0btX///gy/gXo3X19ftWvXTmPGjFHXrl3v+bngHmJiYnTo0CGdPHlS58+fV1RUlFJSUhQYGKiiRYuqTp06ql+/vjw9PZ2aZ0pKinbu3Km9e/fq0qVLkqRSpUqpUaNGCgkJkYeHh81icX/Pm9zlWrcn5u75hytf78zdYQurV6/WDz/8oD/++EN///232cqSjAQEBKhLly4aO3as2rRpY1Us5u5wdbdu3dLmzZt19OhR3bx5UwEBAQoKClJISIhq1qzptLyYvzsHxTIAAADAhvhAFQAAAO7AlYvDjsLcHcAdFMsAAAAAAAAAAACQb9luvR4AAAAAAAAAAADgZiiWAQAAAAAAAAAAIN+iWAYAAAAAAAAAAIB8i2IZAAAAAAAAAAAA8i2KZQAAAAAAAAAAAMi3KJYBAAAAAAAAAAAg36JYBgAAAAAAAAAAgHyLYhkAAAAAAAAAAADyLYplAAAAAAAAAAAAyLcolgEAAAAAAAAAACDfolgGAAAAAAAAAACAfItiGQAAAAAAAAAAAPItimUAAAAAAAAAAADItyiWAQAAAAAAAAAAIN+iWAYAAAAAAAAAAIB8i2IZAAAAAAAAAAAA8i2KZQAAAAAAAAAAAMi3KJYBAAAAAAAAAAAg36JYBgAAAAAAAAAAgHyLYhkAAAAAAAAAAADyLYplAAAAAAAAAAAAyLcolgEAAAAAAAAAACDfolgGAAAAAAAAAACAfItiGQAAAOBkJpPJ4tegQYOcnS4A5MjJkyetut9Z8rpx44azfyzkEfa4PgEAgPugWAYAAAAAAAAAAIB8y8vZCQAAAACWqFSpkk6dOmV1P09PT3l4eMjb21u+vr7y9fVVoUKFVKRIERUrVkwlS5ZUmTJlVLFiRVWtWlW1atVSpUqVbP8DAAAAAAAAl0SxDAAAAHlacnKykpOTlZiYqJiYGIv6FC1aVKGhobr//vv1yCOPqGrVqnbOEgAAAAAAOAvFMgAAACCd69eva+XKlVq5cqVeeOEFtWrVSk899ZT69+8vLy+m0ICl1q9fr/Xr11vc/plnnlFgYKDd8gEAAACAjPAvfQAAACAbmzZt0qZNm/T222/rtdde04ABA2QymZydFuDy1q9fr8mTJ1vcftCgQRTLAAAAADich7MTAAAAANzFiRMnNGjQIN1///06efKks9MBAAAAAAA2QLEMAAAAsNL69evVoEED/fjjj85OBQDypODgYBmGke2LlYiwlUqVKll0zQEAgLyJYhkAAACQA7dv39ajjz6qzz77zNmpAAAAAACAXKBYBgAAAORQSkqKxo0bp/fff9/ZqQAAAAAAgBzycnYCAAAAgLt78cUXVapUKQ0ePDhH/dnWCQAAAAAA52FlGQAAAGADI0eO1M6dO52dBgAAAAAAsBLFMgAAAORJAwcOlGEYZq/4+HhduHBBhw8f1qZNm/T5559rwIABql69eq7jJSQkqE+fPoqKirJB9gAAAAAAwFHYhhEAAAD5ho+Pj4KCghQUFCRJatmypUaOHClJ2rVrlz755BN9++23SkxMzNH4x48f19tvv6333nvPZjnbW0JCgs6dO6ezZ8/q3LlzioqKUmxsrGJjY5WQkCAfHx8VKFBAxYoVU8mSJRUcHKwqVarIy4t/SriyhIQEHTlyRGfOnDH7vfr4+Mjf319ly5ZV5cqVVatWLXl7ezs7XZeQnJyso0eP6tSpUzp79qyioqIUExMjLy8vFSxYUKVLl1blypVVu3Zt+fr6OjtdAAAAADbEv3ABAAAASSEhIfryyy81ZcoU9e/fXxs2bMjROJ9++qmGDx+uKlWq2DjD3ElJSdG+ffu0Y8cOHTx4MO11/vx5q5+Z5u3trfr16+u+++5Tt27ddP/998vT09NOmedMdHS0VqxYoV9//VW7d+9WZGSkoqKi5O/vr9KlS6tx48bq0KGDevfurSJFilg19u3bt7Vs2TKtWrVKu3btSiusFC1aVCVLllSFChXUoUMHPfTQQ6pbt66dfsJ7bdmyRcuXL9fq1au1b98+JSQkZNvHz89PYWFh6tmzpx577DGVLVvWAZm6jv3792vZsmX6/ffftXv3bsXExGTbx8fHRyEhIerWrZv69OmjatWqOSBT6+3bt08//PCDtm3bpkOHDunatWuKioqSYRgKDAzUwIED9emnnzo7TbezZcsW/fDDD9qyZYv++ecfXb9+XZ6enipWrJhq166tFi1aqG/fvqpTp45V4xqGob/++ivtd3Zn7AIFCqhkyZIKCgpSaGiounTporZt27pUwfb8+fNasmSJ1q5dq/379+vSpUuKi4tTkSJFVLFiRTVt2lQ9evTQgw8+aPUXLc6ePavvvvtOGzdu1N69e3X58mUlJCSoRIkSKlWqlKpXr64HH3xQDz74YL67fwEAABszAAAAADcQHBxsSLL4NXDgwBzHSkpKMl577TXDZDJZFfPOa9SoUVbFs+fPtWjRIqNTp05GoUKFcvSzWPIKCgoy3nzzTeP69etW5ZaRdevWWRX79ddfN+sfGxtrvPnmm0axYsUs6u/n52e8+OKLxs2bN7PN7caNG8bLL79sBAQEWJxf69atje3bt+f6zyUziYmJxqxZs4y6devm+vfo5eVl9O/f3/jnn3+szsPa35utXuvWrbM615SUFOObb74xmjdvnuv4JpPJ6NGjh7Fjxw6r88jIggULcv3zr1271mjRokW2fXv27GmTnK0RERFh8c8WHBxs09jW/B2SUezff//daNq0qcVjdOzY0di1a5dFuS1ZssSq/w+XLFnSCA8PN5KSknL1Z/L666/n6no7e/asMXjwYMPb29ui/uXKlTPmzJljJCcnZ5vb0aNHjX79+hkeHh4Wje3h4WEMGjTIOHv2bK7+TCxhzZ8ZAABwHzyzDAAAAEjH09NTkydPzvGqi0WLFun69eu2TSqHli5dqlWrVun27dt2i3Hx4kW99tprqlmzpr799lu7xcnO7t271aBBA7322mu6du2aRX1iY2P13nvvqXHjxtq1a1em7dauXat69eppypQpVj2X7o8//lBoaKheeOEFi/tYauXKlapTp45GjBihgwcP5nq8pKQkffnll6pfv75ee+01JSUl2SBL17J9+3Y1a9ZMffv21ZYtW3I9nmEYWr58uUJDQzVq1ChFR0fbIMuciY+P15gxY9ShQwf99ddfTssjr4mJidHAgQP14IMPaseOHRb3W7NmjUJDQ/XRRx9l2uby5cvq2bOnHn30Uav+P3z58mWNHj1aTZs21fnz5y3uZ0tff/21ateurQULFli8dfHZs2c1bNgwPfjgg7p8+XKm7aZNm6YGDRro66+/VkpKikVjp6SkaOHChapevbqWLl1qUR8AAIC7USwDAAAAMvH0009r0KBBVveLjo7WkiVLbJ+Qi7t06ZL69u2rCRMmODz2zz//rPvuu09Hjx7NUf8TJ06obdu22rx58z3vzZ49W507d1ZkZGSOxjYMQx988IGGDx9u8Qe/WUlKStLTTz+tBx98MMc/b1bi4+P11ltvqX379rp48aLNx3eWd999Vy1bttTOnTttPnZKSopmzpyp0NBQu/xOshMTE6Nu3bopPDzc4bHzsitXrqh169ZatGhRjvonJSVp4sSJ+ve//33Pe0ePHlXz5s21fPnyHOe3Z88etW7dWidPnszxGDnx2muv6YknntCtW7dy1H/16tVq27atLl26ZHY+KSlJQ4YM0fjx4xUbG5ujsWNiYtSnTx998cUXOeoPAADyL4plAAAAQBY+/fTT/9fevUdVXaV/HP8cEFA53AzU1FTKEG+ZaBd18oKoeGmZWTYTIzZeplKbaTVOS0uXpTZpN7vpjJfUBm9NpjVdBDUws7E0RSZJHe9ONI6KJqAIAuf3xyz9aSJ89znnC+J5v9byj8559rMftvCtzsPeW5GRkcbjVq9ebUM1NcOrr76qZ555psrmW7dunR544AFL901VpKCgQAMGDNCRI0cuvjZv3jw9+uijKi0t9bRMzZ8/X7NmzfIox5kzZzRw4EC99dZbHtdTmU2bNumee+65bD1qopKSEj3yyCN65plnbN8t9/333+sXv/iFsrKybJ3nUmVlZXrwwQe1fv36KpvTF+Tl5al3794V7ji16rXXXtObb7558Z8PHz6s7t2768CBAx7n3r9/v+6///4q2wk6depUTZs2zeM8u3bt0r333nuxbpfLpUceeUSLFi3yOHdpaalGjhypLVu2eJwLAAD4DpplAAAAQAXCwsLcOkIvPT1dxcXFNlRUM8yYMUNr1qyxfZ4DBw7ooYceUlFRkVfy/fTTT0pOTpYkrV27VmPGjPFK3gsmT56sffv2uTW2uLhYgwcPVlpamldrqsjevXvVu3fva+ZYUVMul0ujRo2q0l0mx44dU58+fapst8+zzz6rzz77rErm8hUul0vJycnasWOH13I+/fTT2r17twoKCtSvXz+vHp+YmZmpl156yWv5rmbVqlWaMmWK1/Jt2bLlYuNtypQpWrp0qddyl5aWasSIET7972EAAGCGZhkAAABQiVGjRikoKMhoTFFRkVc/aK1pXC6Xxo0bZ/sHlSkpKV5v5HzxxRdasGCBkpOTvbKj7FKFhYWaNGmSW2PHjh2rdevWebUeK/71r39p6NChcrlcVT63p/70pz9Vy3Fsx44d08CBA3Xu3Dlb5/n666+rpEnia44cOaKPPvrIqzmLioo0ceJE/e53v9OuXbu8mluSpk2bZntT244dra+88oqWL1+uF154weu5s7OztXDhQq/nBQAA1yeaZQAAAEAlwsPD1bNnT+Nxvn4E1IEDB5SSklLdZbhl9OjRtt3XtXr1auXm5hqNef/997VgwQJb6rFi/fr1lx0jVxN8/fXXXt0FYyo7O1sTJ060dY6pU6d65R48VI0PP/zQK8cMlufcuXNasmSJLbntdPbsWT388MO2fR/Pnz/flrwAAOD6U6u6CwAAAABqgh49eig1NdVozP79+22qxjPh4eHq1q2bWrdurVatWik2NlY33HCDnE6nQkJCFBQUpMLCQhUUFOjw4cPas2ePNmzYoA8++EB5eXlGc82bN08jR4606SspX7t27dS5c2c1aNBAubm5Wrdunfbu3euV3E6nU/369VN0dLRcLpcyMzOVkZFhtAOtuLhYKSkpevLJJy3FnzlzxnLsperWrauRI0fq3nvv1W233aaIiAidPn1a3333nZYvX65FixYZ1T158mQ9/PDDioqKMq6lqpWVlWnMmDHGOwMDAgKUlJSkwYMHq1OnToqMjFRBQYF2796tDz74QH/+859VWFhoOd+bb76pUaNGqU2bNqZfgiUmtcAz4eHhSkxMVPPmzVVSUqKsrCylp6d7bfdp165ddfvttysiIkJHjhzRp59+atxUf+edd/TEE094pR4r/Pz81L17d7Vt21ZhYWFu1301TZo0UUJCgho3bqyCggJt2LDB+D7A7du3KysrS+3bt/dKTQAA4PpFswwAAACwIC4uznjM4cOHbajEPY0aNdKwYcPUv39/denSRbVqVfy/Ak6nU06nUw0bNtRdd92l5ORkvfnmm5o8ebJef/11y/Nu2bJFOTk5aty4sYdfQeWaNm2qd999Vz169Ljs9bKyMk2bNk3PPfecR/mfeuopTZ06VcHBwZe9vmXLFvXv39/oA+KMjAzLDbA33nhDP/74o0mp6tGjh5YvX66GDRte9npUVJTi4+MVHx+vxx9/XAMHDrR8d1J+fr5eeOGFcv/+o6OjL949dKn09HRlZGRYrvsPf/iDwsPDLcdHR0eX+/qKFSuUmZlpOY/0vybrypUrFRMTc9nr9erVU5cuXdSlSxeNGzdO/fv31+7duy3lLCsr07PPPqsPP/zQqBZcO/z9/TVlyhT98Y9/VO3atS9779tvv1ViYqJHzaG4uDilpKSodevWl71++vRp/frXv9Ynn3xiOVdWVpZOnjypevXquV2PVd26ddPixYuv+BnMy8tTUlKSUd0/FxwcrLfeekvDhw+Xn9/lByItWLBAv/3tb42OhU1PT6dZBgAAKkWzDAAAALCgefPmxmOOHj3q/UIMdejQQQ8++KCGDh2qgIAAj3I5nU7NmjVLDodDs2bNsjzu888/V3JyskdzV6ZJkyb65ptvrmgOSf/b/TBlyhRt3rxZaWlpbuV/+eWXNX78+HLfu/POO/XOO+/ovvvus5xv27ZtluLOnz+v2bNnW84rSfHx8UpNTa307zsuLk4ZGRnq2LGjzpw5Yyn3woULNX36dDmdzsteb9asWbl3sZWUlBg1y8aNG+fWz9rPmTR0JalNmzbatGmTQkNDK4yLjo7Wxo0b1b59e8tNxo8//lgHDx68amPP2zp06KChQ4de3JETGRmpwsJC/fjjj8rKytL69ev197//vUpquR4sWrRIw4YNK/e9Tp066e2339avfvUrt3J36tRJGzduVJ06da54LywsTO+9955iYmKUk5NjOef27duVkJDgVj1W9enTR5999pn8/f2veC80NFTLli3TzTffrBMnThjnDgwMVFpamrp27Vru+6NGjVJ2drbRz7jV5y0AAPBt3FkGAAAAWNCgQQPjMVYbEHaaMmWKkpKSPG6UXWry5MkKCgqyHF8VH1QuXbq03EbZpR555BG3cicmJl61UXbBoEGD1KJFC8s5c3JyLN2JlpaWZrSrLDw8XO+9957lv++WLVtq+vTplvPn5+frb3/7m+X46rBz505t3brVcnytWrW0cuXKShtlF0RFRWnOnDmW85eVldl2T9WlIiIitGTJEm3btk0TJkxQp06ddOONNyogIEChoaGKjY3VQw89pPnz5+uHH37Q888/b3tNNd2IESOu2ii7YMiQIQoJCTHOHRQUpJUrV5bbKLugbt26euyxx4zy2v28veGGG7RixYpyG2UXhISEaMiQIW7lnzp16lUbZRc89dRTRjlplgEAACtolgEAAAAW1K1b13jM2bNnbaik+kVERFxxVF1FsrOzbaxG6tu3r7p161Zp3N133+1WfqvNpD59+hjl/eGHHyqNWb16tVHOp59+WpGRkUZjRo8ebXT04bW+K8l0zUaMGKHY2FijMYMGDTL6GbB7zRo0aKAvvvhCSUlJcjgclcYHBARwLF0lAgICNGXKFEtx7hzTO3r0aDVr1qzSuL59+xrltfJc8cT48eMVERFRaZw7z9v69etbunPtpptuuuLYyorYvSYAAOD6QLMMAAAAsMDkfpQLrHxoXVOZ3IljcoSYO0aMGGEprlmzZsY77Nq2bauOHTtaim3VqpVR7tOnT1cak56ebjmfn5+fW7vngoODr7jnrbKaysrKjOepKiZrJln//rmUw+FQ//79LcdnZWXp+PHjxvNYlZKSonbt2tmW3xclJCSoadOmlmJNdpVeYPVn1Y7nirscDoflut1Zk6FDh1r+xRSTdSkoKFBpaalxPQAAwLdwZxkAAABggTu7xNzZjVZV8vLytHnzZu3YsUO7d+/W4cOHdfToUZ08eVL5+fk6f/68zp8/75W5jh075pU85alVq5blnRcOh0MNGjQw2mUwYMAAy7GNGze2HCtV/qH2iRMndOjQIcv54uLidOONNxrVcOnYDz/80FJsfn6+9uzZY/whflVwuVxGR65FRUXprrvucmsu091E3377rfr16+fWXBUZNmyYevfu7fW8vm7gwIGWY01/7ho2bGj5+8fpdCo0NFR5eXmW4u1slnXq1KnS424vcOdZZOfzNi8vz9KOOAAA4LtolgEAAAAWHD161HhMcHCwDZW4Ly8vT0uXLtXy5cu1efNmlZSUVMm8dh5H2aJFC4WFhVmOj4iIMGqWWd1VJpn/fefn51f4/u7du43ymdT6c6ZHN+7cufOabJbl5ORUuq6Xcuf4vAvcWTM7mmVWjq2DOZOfJ9MmTFxcnNHO4+DgYMvNMpPvf1N2rolpfneetzTLAABARWiWAQAAABYcPHjQeIy7u3y8raioSDNnztRrr71m666Diua3i+ldU6a7/Vq2bGk5NjAw0Ch3ZUcZHj582Cjf3LlzNXfuXKMx7jpy5EiVzGPKdM3S0tKq7LhUO9YsJiZGd9xxh9fzwuzZYudzRTJ7tth5RKqdaxIREaGoqCjL8d5+3gIAANAsAwAAACwwOdrtAqv33dhp3759uu+++5SdnV1tNbhz35tVpg1J0zvLqrPheeLEiWqbuzLu7LSsCr62Zp07d/Z6Tkh16tQx2rFak54rnjCp21fWBAAAXD9olgEAAAAWpKenG49p0aKFDZVYt3fvXt1zzz3673//W6112MnpdBrF+/v7G8VX51Gadh5f6akzZ85Udwnl8rU18+QYSVzd9fxc8YTJuvjKmgAAgOuHX3UXAAAAAFzrjh8/ri+//NJ43J133mlDNdacO3dOgwcPvq4bZdL/doDU5PwVqao75dxx7ty56i6hXL62ZvXr1/d6TlzfzxVP2Fl3TV0TAABw/aBZBgAAAFRi3rx5On/+vNGY2rVrq3379jZVVLnXXnutWo9erCp23zdVVfdZlad27drVNndlrtX7f3xtzUyOCoR11/NzxRN21l1T1wQAAFw/aJYBAAAAFcjNzdUrr7xiPK5Xr17Gd7Z4S3FxsWbNmmU8rl27dpo5c6Y2bdqko0eP6uzZs3K5XOX+6d69uw2V41KmR8HB99aM3TgAAACAd3BnGQAAAFCBcePG6aeffjIeN3jwYO8XY9G6det04sQJy/H+/v56/fXXNXbsWMu/3W+60w7mGjduXN0l1DisGQAAAAB3sLMMAAAAuIqZM2dqxYoVxuOCg4M1ZMgQGyqyJiMjwyj+mWee0bhx44yOwTJpxsE90dHRRvEvvvjiVXcCevvP4sWL7fmiPdS8eXOj+EcffbTK1mzDhg22fM0AAAAAPEezDAAAAPiZkpISTZw4URMmTHBr/PDhwxUeHu7dogyY3FXmcDj0xBNPGOUvKCjQwYMHTcuCodjYWKM7uLZt22ZjNTVDaGiobr75ZsvxrBkAAAAAiWYZAAAAcJlDhw6pR48emjFjhlvjg4KCNH78eC9XZSYnJ8dybFRUlKKioozyr127lmMYq0BAQIDi4uIsx6empio/P9/Gisz5+/sbxZeUlHg859133205dtu2bdq/f7/HcwIAAACo2WiWAQAAAJK+/fZbJSUlKSYmRl999ZXbeZ588knj4/O87ezZs5Zj3Wl6udtIhLkBAwZYji0oKNDbb79tWy1lZWVat26d0ZjAwECj+GPHjhnFl8dkzVwul1566SWP56xIWlqarfkBAAAAeI5mGQAAAHxGcXGxjh07pj179mjz5s2aO3euhg8frltvvVV33HGHli1b5tGOqVtuuUWTJk3yYsXuCQ4Othx76tQp7d6923L8yy+/rK1bt7pTFtzwwAMPGMU///zz2r59u1dryM/P15w5cxQbG6vRo0cbjTU9jnTjxo1G8eUZOHCg6tSpYzl+/vz5+uSTTzye91JFRUVKSUlRXFycEhMTvZobAAAAgPfRLAMAAMB16d1335XD4bjsT1BQkBo0aKDY2Fh16dJFjz32mP76179q3759Hs8XGBioFStWyOl0eqF6z9SvX98o/tlnn5XL5ao0buHChZo4caK7ZcENMTExSkhIsBxfVFSk+Ph4rV271qN5y8rKlJ6erlGjRqlRo0YaO3as9u7da5ynUaNGRvGvvvqqvvvuO+N5LhUaGqqkpCTL8S6XS0OGDFFKSopH80rSN998o9///vdq3LixkpOTlZmZ6XFOAAAAAParVd0FAAAAANeDv/zlL+rUqVN1lyFJxsdArlq1SsOGDdPrr7+uyMjIK97PycnRpEmTtHjxYi9VCBMTJkzQ+vXrLcefPn1affv21f33368xY8aoZ8+e8vOr+Pcki4uLtXPnTm3btk1ffPGF0tLSdOLECU9LV8uWLY3iT5w4oQ4dOqhz58667bbbdMMNN1z1KMfhw4frpptuKve98ePHa/HixZbvQCsuLlZycrIWLVqkJ598UomJiZUeIVlaWqpdu3Zp+/bt+vLLL7VmzRqj+wIBAAAAXDtolgEAAAAemjFjhn7zm99UdxkX9e7dW/Pnzzcas3TpUq1cuVLx8fFq06aNgoODlZubqx07dmjz5s0qLS21qVpUplevXho0aJA++ugjo3GrVq3SqlWrFBERodtvv10tW7ZUWFiY6tSpo9OnT+vUqVM6deqUjhw5ouzsbBUXF3u99ltvvVX16tXTyZMnLY8pLS3Vpk2btGnTpgrjevTocdVmWcuWLTV27Fi98cYbRvVmZGQoIyNDTqdT7du3V+vWrRUeHq7g4GDl5+dfXLMff/xR//znP1VYWGiUHwAAAMC1iWYZAAAA4CY/Pz+98cYbGjduXHWXcpnevXsrMDDQuPlRVFSkNWvWaM2aNTZVBnfNmTNH//jHP3T8+HHjsadOnbrYBKpqDodDffr00YoVK6p87unTpys1NVV79uwxHltQUKCvvvpKX331lQ2VAQAAALjWcGcZAAAA4IbQ0FCtWrXqmmuUSVJ4eLgeffRR2/JHR0erQ4cOtuXHlRo1aqTly5dXejTgtWj48OHVMq/T6dTKlSsVFhZWLfMDAAAAqDlolgEAAACGEhIStHPnTg0aNKi6S7mqSZMmKTQ01Ot5a9WqpSVLltiSGxXr1auXli1bplq1atYBIYmJiercuXO1zN22bVt9+umncjqd1TI/AAAAgJqBZhkAAABgUUxMjJYuXaq1a9de9a6ka0X9+vW1bNky+fl59z/5FyxYoC5dung1J6wbMmSI1qxZU+N2Sy1cuLDaau7atas2btyoxo0bV8v8AAAAAK59NMsAAACACvj5+alHjx5asmSJvv/+ez388MNyOBzVXZYlAwYM0Ntvv+2Vhpmfn59mz55dbUfq4f8lJCQoMzNTPXv2rNJ5AwMDFR8f79bY2NhYbdiwQbfccouXq7KmQ4cOyszM1AMPPFCl8/r5+SkhIaFK5wQAAABgjmYZAAAA8DORkZEaOHCgZs2apcOHDysjI0NJSUny9/ev7tKMPf744/r0009Vr149t3PUr19fH330kcaMGePFyuCJ6Ohoff7551q+fLliYmJsneuuu+7S7Nmz9Z///EcLFy50O8/tt9+u7du3a8KECYqKivJihdZERUXp/fffV2pqqjp27GjrXG3bttXMmTP173//W+vWrbN1LgAAAACeq1mH3QMAAACGHA6H/P39FRAQoNq1a6tOnToKCQlRWFiY6tWrp/r166tRo0Zq2rSpWrRooVatWqlJkybVXbZXJSYmKjs7WzNnztS8efN09uxZS+Pq1q2r0aNHa9KkSYqMjLzsvcDAQAUFBdlRLixyOBz65S9/qaFDhyo1NVWLFi1SWlqa8vPzPcrbsGFDxcfHq1evXkpISFDTpk29VLEUGhqqF198Uc8995zS0tL0zTffaNu2bTpw4IDy8vKUl5enwsJCr81Xnr59+6pv37768ssvtXDhQn388cfKzc31KGdERIR69ux5cc3sbmACAAAA8C6Hy+VyVXcRAAAAAKpGbm6uUlNTtX79emVmZurYsWPKzc2Vw+FQaGiomjVrpnbt2ikhIUH9+/dXeHh4dZcMA8XFxdq8ebO2bt2qrKwsHTx4UDk5OTp58qTOnTunkpISOZ1OhYaGKiQkRBEREWrRooViY2MVGxurNm3a+Fyjp6ysTFu2bNGWLVu0Y8cO7d+/Xz/88INOnjypwsJCnT9/XsHBwQoJCVFISIjCw8N18803X1yz1q1bq3Xr1l6/H/B6dOjQIUVHR1uKbdasmQ4dOmRvQYAbTI5i5iM3AABqDpplAAAAAADAdibNMqtOnTpFUx9eYcf3Jx+5AQBQc/CrbwAAAAAAAAAAAPBZNMsAAAAAAAAAAADgs2iWAQAAAAAAAAAAwGfRLAMAAAAAAAAAAIDPolkGAAAAAAAAAAAAn0WzDAAAAAAAAAAAAD7L4XK5XNVdBAAAAAAAAAAAAFAd2FkGAAAAAAAAAAAAn0WzDAAAAAAAAAAAAD6LZhkAAAAAAAAAAAB8Fs0yAAAAAAAAAAAA+CyaZQAAAAAAAAAAAPBZNMsAAAAAAAAAAADgs2iWAQAAAAAAAAAAwGfRLAMAAAAAAAAAAIDPolkGAAAAAAAAAAAAn0WzDAAAAAAAAAAAAD6LZhkAAAAAAAAAAAB8Fs0yAAAAAAAAAAAA+CyaZQAAAAAAAAAAAPBZNMsAAAAAAAAAAADgs2iWAQAAAAAAAAAAwGfRLAMAAAAAAAAAAIDPolkGAAAAAAAAAAAAn0WzDAAAAAAAAAAAAD6LZhkAAAAAAAAAAAB8Fs0yAAAAAAAAAAAA+CyaZQAAAAAAAAAAAPBZNMsAAAAAAAAAAADgs2iWAQAAAAAAAAAAwGfRLAMAAAAAAAAAAIDPolkGAAAAAAAAAAAAn0WzDAAAAAAAAAAAAD6LZhkAAAAAAAAAAAB8Fs0yAAAAAAAAAAAA+CyaZQAAAAAAAAAAAPBZNMsAAAAAAAAAAADgs2iWAQAAAAAAAAAAwGfRLAMAAAAAAAAAAIDPolkGAAAAAAAAAAAAn0WzDAAAAAAAAAAAAD7r/wBRwn/6Rh4vmgAAAABJRU5ErkJggg==\n" + }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "# 3.0 Analysis\n", + "Using previously calculated regression equations, answer the following questions to see how a fitted equation can predict values." + ], + "metadata": { + "id": "j5h7kM8PsVus" + } + }, + { + "cell_type": "markdown", + "source": [ + "## 3.1 Effect of a 0.3mm Increase in Diameter on Predicted Strength\n", + "\n", + "If the diameter is increased by 0.3mm, by how much would you predicted the strength to increase or decrease?\n", + "\n", + "**Your Answer:**\n", + "To estimate the effect of a 0.3mm increase in diameter on predicted strength, we can use the slope of the least-square line obtained from the linear regression analysis. The slope $\\hat{\\beta_1}$ represents the change in predicted strength for a one-unit increase in diameter.\n", + "\n", + "\n" + ], + "metadata": { + "id": "e5eD-DNGsbQP" + } + }, + { + "cell_type": "code", + "source": [ + "##BEGIN SOLUTION\n", + "\n", + "# Calculate the effect of a 0.3mm increase in diameter\n", + "effect = 0.3 * b1\n", + "\n", + "# Print the result\n", + "print(\"Effect of a 0.3mm Increase in Diameter on Predicted Strength: {:.2f} kN/mm\".format(effect))\n", + "\n", + "##END SOLUTION" + ], + "metadata": { + "id": "BvTcR4VuwMvs", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "2dc7b4df-e7cd-4d91-f7d6-19d129845249" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Effect of a 0.3mm Increase in Diameter on Predicted Strength: 8.68 kN/mm\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "## 3.2 Predict the Strength for a Diameter of 5.5mm" + ], + "metadata": { + "id": "wkjPyLaDwuCq" + } + }, + { + "cell_type": "code", + "source": [ + "##BEGIN SOLUTION\n", + "\n", + "# Given diameter for prediction\n", + "diameter_prediction = 5.5\n", + "\n", + "# Calculate predicted strength for a diameter of 5.5mm\n", + "predicted_strength = b0 + b1 * diameter_prediction\n", + "\n", + "# Print the result\n", + "print(\"Predicted Strength for a Diameter of 5.5mm: {:.2f} kN\".format(predicted_strength))\n", + "\n", + "##END SOLUTION" + ], + "metadata": { + "id": "BpblwaGvxOz7", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "bbd4eb51-cca4-4b4c-8338-fb833673cc1c" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Predicted Strength for a Diameter of 5.5mm: 91.48 kN\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "## 3.3 Predicting Strength for a Diameter of 8mm\n", + "Can the least-square line be used to predict the strength for a diameter of 8mm? If so, predict the strength. If not, explain why not.\n", + "\n", + "**Discuss:**\n", + "The least-square line can be used to predict the strength for a diameter of 8mm if and only if the prediction falls within the range of the observed data. The validity of predictions beyond the observed range depends on the assumptions made during the linear regression analysis.\n", + "\n", + "In linear regression, it is assumed that the relationship between the independent variable (diameter in this case) and the dependent variable (strength) is linear and that this relationship holds throughout the observed range. Extrapolating the model beyond this range may introduce uncertainty and might not accurately reflect the true relationship." + ], + "metadata": { + "id": "O3yzZHL6xSbs" + } + }, + { + "cell_type": "code", + "source": [ + "##BEGIN SOLUTION\n", + "\n", + "# Slope and Intercept value\n", + "b0 = -67.69\n", + "b1 = 28.94\n", + "\n", + "# Given diameter for prediction\n", + "diameter_prediction = 8.0\n", + "\n", + "# Check if the diameter is within the observed range\n", + "if min(diameter) <= diameter_prediction <= max(diameter):\n", + " # Calculate predicted strength for the given diameter\n", + " predicted_strength = b0 + b1 * diameter_prediction\n", + " print(\"Predicted Strength for a Diameter of {}mm: {:.2f} kN\".format(diameter_prediction, predicted_strength))\n", + "else:\n", + " print(\"Warning: The diameter of {}mm is outside the observed range. Predictions may be less reliable.\".format(diameter_prediction))\n", + "\n", + "##END SOLUTION" + ], + "metadata": { + "id": "o0Hh_WnIz9aO", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "ad774da0-72cf-44aa-f8c2-ddc673779d40" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Warning: The diameter of 8.0mm is outside the observed range. Predictions may be less reliable.\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "## 3.4 Predicting Diameter for a Strength of 95kN/mm\n", + "For what diameter would you need to predict a strength of 95kN/mm?" + ], + "metadata": { + "id": "Tk_qBgrW3AvN" + } + }, + { + "cell_type": "code", + "source": [ + "##BEGIN SOLUTION\n", + "\n", + "# Given strength for prediction\n", + "strength_prediction = 95.0\n", + "\n", + "# Calculate predicted diameter for the given strength\n", + "diameter_predicted = (strength_prediction - b0) / b1\n", + "\n", + "# Print the result\n", + "print(\"Predicted Diameter for a Strength of {} kN/mm: {:.2f} mm\".format(strength_prediction, diameter_predicted))\n", + "\n", + "##END SOLUTION" + ], + "metadata": { + "id": "xqrOsfTv72q2", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "917947bb-067f-4801-f55b-b3b04565c5eb" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Predicted Diameter for a Strength of 95.0 kN/mm: 5.62 mm\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "# 4. Discussion Questions\n", + "**Answer in the given space below**\n", + "\n", + "1) How does an increase in diameter affect the strength of the material?\n", + "\n", + "**Your Answer:**\n", + "An increase in diameter can contribute to an increase in tensile strength. This is because a larger cross-sectional area allows the material to distribute the applied load over a greater area, reducing stress.\n", + " \n", + "\n", + "2) If you were asked to predict the what strength a sample would have if the diameter were 20 mm, would you be able to accurately calculate that value? Why or why not?\n", + "\n", + "**Your Answer:**\n", + "Predicting the strength for a diameter of 20 mm using the linear regression model may not be accurate if the prediction falls outside the observed range of the data. This is because linear regression models assume that the relationship between variables holds within the observed range, and extrapolation beyond that range introduces uncertainty, hence alternative models or additional data collection within the relevant range may be necessary for more accurate results.\n", + "\n", + "3) After fitting the data, is a linear model the best representation of the given data? If so, how do you know?\n", + "\n", + "**Your Answer:**\n", + "A linear model was considered appropriate after the following assumptions were met:\n", + "\n", + " 1. Check for random and symmetric residuals around zero(normal distribution).\n", + " 2. Ensure the relationship between variables is approximately linear.\n", + " 3. Examine and address potential influential outliers.\n", + " 4. Verify constant variability of residuals across all levels." + ], + "metadata": { + "id": "GTk1f_rleYwz" + } + } + ] +} \ No newline at end of file