{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import pandas as pd\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from matplotlib import cm\n", "\n", "house_df = pd.read_csv('kc_house_data.csv')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 1. Linear Regression. A bit of formalism" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's have a data consisting of $n$ samples. These samples are $(m+1)$ - dimensional vectors, where first $m$ dimensions are called features (explanatory variables) and will be used to predict the last dimension which is called regressand (dependent variable). \n", "\n", "We will have therefore a $n \\times m$ matrix **$X$** (called feature matrix) and vector **$y$** of lenght $n$. \n", "\n", "In our simple example, living squarefeet is a feature, house's price is regressand and the data consists of $100$ samples. It forms $100 \\times 1$ feature matrix **$X$** and vector **$y$** of length $100$." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(100, 1)\n", "(100, 1)\n" ] } ], "source": [ "X = house_df.sqft_living.values.reshape(-1,1)[:100]\n", "y = house_df.price.values.reshape(-1,1)[:100]\n", "print(np.shape(X))\n", "print(np.shape(y))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Linear regression approach tries to find a vector **$b$** which minimizes the cost function \n", "\n", "$$f_{y}(b) = \\dfrac{|Xb - y|^2}{n}, $$\n", "\n", "where **$|\\cdot|$** is euclidean norm and **$Xb$** is simple matrix multiplication (vector is also a matrix). \n", "\n", "Geometrically (and roughly) speaking, we are determining a line which minimizes the cumulative distance to all the points. \n", "\n", "When such a vector **$b$** is found, we can predict values **$y$** for given features **$X$** by calculating **$Xb$**. We have therefore \n", "\n", "$$y_{pred} = Xb, \\\\ f_{y}(b) = \\dfrac{|y_{pred} - y|^2}{n}. $$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exercise 1\n", "a) Create functions *predict(b, X)* and *cost(y_pred, y_true)* implementing theory above. All inputs should be numpy arrays (take care of dimension scalability!) \n", "b) For our data **$X,y$**, plot cost as the function of **$b$** (which is one dimensional vector). Plot the line with best slope among evaluated with *cost* function." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[ 6]\n", " [11]\n", " [12]\n", " [16]]\n", "82.75\n" ] } ], "source": [ "#a)\n", "def predict(b, X):\n", " return \"implement me!\"\n", "\n", "def cost(y_pred, y_true):\n", " return \"implement me!\"\n", "\n", "\n", "\n", "#short test:\n", "test_b = np.array([[1],[1],[1]])\n", "test_X = np.array([[1,2,3],[2,5,4],[3,4,5],[4,5,7]])\n", "test_y = np.array([[1],[2],[3],[4]])\n", "\n", "print(predict(test_b, test_X))\n", "print(cost(predict(test_b, test_X),test_y))" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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Jq8yscdFbJ0ia6zESDsGVXevqwvY19dy3izRm9nrfcQAAAAAoCgtmkZslvW1mMyW1kfSw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\nXAX8GMgF/neM8YEsN0mSpFNau8I8BnXrwKBuHQ6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zzzyzX52/+Zu/oX379nuVPfvss5xx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0z2V2xRXjY7NpVR5/dR6/dRsbRgwcY2H+Z7f08REZFYtA+miGSUuW5HkclSuQIcjjiWL86jvWfo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\niR6miIiIiIikOAXMN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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#b)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# 2. Bias\n", "\n", "The line above has limitation of crossing point (0,0). As on our data it doesn't seem harmful, let us check how our model would perform, if all $y$ were shifted by some constant. The interpretation is as follows: the goverment has imposed a new tax in the set amount of 1 million dollar on buying new houses." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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USwRWQlxIA7u30hVn1tQ/vlikp79dIpZxAwAAAMEU5zsAcCzx4ZCevrGFEuNCevrbpco5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sB4i6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\nJ5J8q8V+kOSbSX6b5A9Jtrb4s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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As we can see, for the best slope the error has grown almost by the factor of four. In addition we clearly see, that what limits us is indeed the constraint of all lines crossing point $(0,0)$. \n", "\n", "There are two basic solutions of this problem. One of them is centring of the data, that is substracting overall mean from all the values of given feature (or regressand). \n", "\n", "The other is adding bias term, which in this context (different than context discussed during the lectures!) may be understood as constant term in line equation. We simulate adding constant term to result of each prediction by appending artificial feature consisting of ones to **$X$** matrix and additional term to **$b$** vector.\n", "\n", "## Exercise 2\n", "a) Add bias column to the **$X$** matrix. \n", "b) Make the code below compatible with functions that you've created so far." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": true }, "outputs": [], "source": [ "#a)\n", "X = " ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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g9pTi/GUZAiZUp3oJmr+ciuYvw5qYGFX1MgHankQSsQNwmZndBFwLXOLu3wXe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iMU/JpYjEhKMnGvnBC1t48r97GDogkQc/MJsPzM/B4zFuhyYiIiLSLyi5FJGo5vVZnvzvHn74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\nZz7zLLP3dlw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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#b)\n", "y_shifted = y+1e6\n", "\n", "#No Bias Part\n", "b_arr = [np.array(b1) for b1 in np.linspace(-1000, 1000, num=2001)]\n", "cost_arr = [cost(predict(b, X[:,0]), y_shifted) for b in b_arr]\n", "best_b1 = b_arr[np.argmin(cost_arr)]\n", "\n", "\n", "#Bias Part\n", "nb_of_bs = 101 # compute the cost nb_of_bs times in each dimension\n", "b1 = np.linspace(-500, 2000, num=nb_of_bs) # slope coefficient\n", "b2 = np.linspace(-1e5, 3e6, num=nb_of_bs) # bias\n", "b_x, b_y = np.meshgrid(b1, b2) # generate grid\n", "cost_arr_2d = np.zeros((nb_of_bs, nb_of_bs)) # initialize cost matrix\n", "\n", "# Fill the cost matrix for each combination of coefficients\n", "for i in range(nb_of_bs):\n", " for j in range(nb_of_bs):\n", " cost_arr_2d[i,j] = cost(predict(np.array([[b_x[i,j]], [b_y[i,j]]]), X) , y_shifted)\n", "\n", "\n", "plt.figure(figsize=(15,20)) \n", " \n", "plt.subplot(2,1,1)\n", "plt.title(\"Cost heatmap for bias and slope\")\n", "\n", "plt.contourf(b_x, b_y, np.log(cost_arr_2d), 20, alpha=0.9, cmap=cm.pink)\n", "cbar = plt.colorbar()\n", "plt.scatter(best_b1, 0, label = \"Best solution without bias\")\n", "cbar.ax.set_ylabel('log(cost)')\n", "plt.xlabel(\"b1 (slope)\")\n", "plt.ylabel(\"b2 (bias)\")\n", "plt.legend()\n", "\n", "plt.subplot(2,1,2)\n", "\n", "plt.scatter(X.T[0], y_shifted)\n", "plt.xlabel(\"living sqft\")\n", "plt.ylabel(\"price\")\n", "\n", "x_model = np.linspace(np.min(X), np.max(X), 1000)\n", "y_model = best_b1*x_model\n", "plt.plot(x_model, y_model, label='No Bias. Best b1 = {}, error = {:.2E}'.format(best_b1, cost_arr[np.argmin(cost_arr)]))\n", "\n", "best_b1_2d_ind, best_b2_2d_ind = np.unravel_index(cost_arr_2d.argmin(), cost_arr_2d.shape)\n", "best_b1 = b_x[best_b1_2d_ind,best_b2_2d_ind]\n", "best_b2 = b_y[best_b1_2d_ind,best_b2_2d_ind]\n", "\n", "y_model = best_b1*x_model + best_b2\n", "plt.plot(x_model, y_model, label='Best b1 = {}, b2 = {}, error = {:.2E}'.format(best_b1, best_b2, cost_arr_2d[best_b1_2d_ind,best_b2_2d_ind]))\n", "\n", "plt.legend()\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Adding bias improved error by three orders of magnitude. Not bad!**" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# 3. Standardization\n", "\n", "In order to improve performance of many machine learning algorithms, the value standardization is applied. It makes the values of each feature in the data have zero-mean and unit-variance. It is achieved by substracting from each value $x$ the overall mean $\\bar{x}$, and then dividing it by feature's standard deviation ${\\sigma}$:\n", "\n", "$$x' = \\frac{x - \\bar{x}}{\\sigma}. $$\n", "\n", "It is important to remember, that bias column should not be standardize!\n", "\n", "## Exercise 3\n", "a) Implement function standardize(), which standardize the feature matrix and returns it together with two vectors containing original features' means and standard deviations. \n", "b) Implement function destandardize(), which restores the original data given standardized feature matrix X and vectors containing original features' means and standard deviations. \n", "c) Plot original $X,y$ data. Then plot it after standardization. Then plot it after destandardisation." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(array([[-1.34164079, -1.63299316, -1.18321596],\n", " [-0.4472136 , 0.81649658, -0.50709255],\n", " [ 0.4472136 , 0. , 0.16903085],\n", " [ 1.34164079, 0.81649658, 1.52127766]]),\n", " array([2.5 , 4. , 4.75]),\n", " array([1.11803399, 1.22474487, 1.47901995]))" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "#a)\n", "def standardize(X):\n", " return \"implement me!\"\n", "\n", "#b)\n", "def destandardize(X, means, sds):\n", " return \"implement me!\"\n", "\n", "\n", "#short test:\n", "W = [[1,2,3],[2,5,4],[3,4,5],[4,5,7]]\n", "standardize(W)\n", "\n", "#Hint: with np.mean and np.std first function is three lines long. The second is one-liner." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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3G9BctVVN1GrGktR7BphSCxZ6LeRkQYWZo8XvzNVH7jVlcOz02FH98mGCtxtQ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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#c)\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 3. Gradient Descent Method" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In previous examples we were determining the approximate value of optimal vector **$b$** by finding best arguments from pre-defined grid. This solution is neither fast nor precise. Although in theory it is possible to find vector **$b$** analytically, it requires inversing large matrices, as the close form for **$b$** is $b=(X^\\mathsf{T}X)^{-1}X^\\mathsf{T}y$.\n", "\n", "The other approach is to find approximation of **$b$** is Gradient Descent Method. Let us recall that for function $f: \\ R^n \\to R$ a gradient \n", "\n", "$$\\nabla f = \\begin{bmatrix} \\frac{\\partial f}{\\partial x_1} \\\\ \\vdots \\\\ \\frac{\\partial f}{\\partial x_n} \\end{bmatrix}$$\n", "\n", "is the direction of the biggest increase of $f$. Using linearity of derivative, $-\\nabla f$ is the direction of the biggest decrease. Gradient Descent Method is based on iterative moving in the direction opposite to gradient, and by these means approaching the minimum.\n", "\n", "#### GDM step by step: \n", "1. Choose starting point $x_{0}$ and parameters: *learning rate* and *precision*,\n", "2. Update $x_{i+1} = x_{i} - \\nabla f(x_{i})\\cdot lr$, where $lr$ is learning rate parameter,\n", "3. If $(|\\nabla f(x_{i})| < precision)$, end. If not, go back to point 2.\n", "\n", "One of many limitations of GMD may be knowledge of function's gradient. Luckily for us, it is quite easy in case of linear regression with mean square error cost function. We have\n", "\n", "$$ \\nabla f_{y}(b) = \\nabla\\dfrac{|Xb−y|^2}{n} = \\dfrac{2X^\\mathsf{T}(Xb−y)}{n}. $$\n", "\n", "## Exercise 4\n", "a) Create functions: *gradient()* which computes gradient for linear regresion and *gradient_descent_step()* which returns new vector **b** being the result of one GDM step. \n", "\n", "b) Take **$X$** consisting of *sqft_living* together with bias column. Set **$y$** as price. Standardize both **$X$** (without bias) and **$y$**. Plot a heatmap showing dependence of cost function's value on vector **$b$**. Mark first 5 steps of gradient descent with *learning rate* = $0.2$, starting from **$b = \\begin{bmatrix} 3 \\\\ 2 \\end{bmatrix}$**. Experiment with other *learning rates*. \n", "\n", "c) Take **$X$** consisting of *sqft_living* and *sqft_lot*. Set **$y$** as price. Standardize both **$X$** and **$y$**. Plot a heatmap showing dependence of cost function's value on vector **$b$**. Mark first 5 steps of gradient descent with *learning rate* = $0.2$, starting from **$b = \\begin{bmatrix} 3 \\\\ 1 \\end{bmatrix}$**. Experiment with other *learning rates*. \n", "\n", "d) Try to redo above points without standarization. How can you explain such results?\n" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[49. ]\n", " [75.5]\n", " [90. ]]\n", "[[-3.9 ]\n", " [-6.55]\n", " [-8. ]]\n" ] } ], "source": [ "#a)\n", "\n", "def gradient(b, X, y):\n", " return \"implement me!\"\n", "\n", "def gradient_descent_step(b, X, y, lr):\n", " return \"implement me!\"\n", "\n", "\n", "#short test:\n", "test_b = np.array([[1],[1],[1]])\n", "test_X = np.array([[1,2,3],[2,5,4],[3,4,5],[4,5,7]])\n", "test_y = np.array([[1],[2],[3],[4]])\n", "\n", "print(gradient(test_b, test_X, test_y))\n", "print(gradient_descent_step(test_b, test_X, test_y, 0.1))" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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HGbIHyhABKEJd0DUNAvSRIB0WTKUElQcFSD0yig+lxz38LEe6CpHC6VDyb38c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\nK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EtBaAazjaqrQtCvMAR1V4egn/uHmg5ViRSKRIqm8HNYX9rgQCFoVQ64MNTl/Lr0yM2h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\n7h4+/tgtzrk7nXNng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GmH4kQ6SjOObbEopyRDEyG//vz6aUyURZYqoUKKZPv6MoERINPIohRCE27YNE\nObIYG1Mmk2TJkBI8k1MlilL0UJSI7hgSCRBSO5n+XiOkwxZBSvd05wVpIEFBcgXvd134fXuvgUqb\n3WpNOj445KGvR+9k17dWnUuKixPwBnq1L9EuTr8zbL/CYp9SYeNZU/Em35n+OIid8IiGEAXYIEhM\njggAe8ryTEuWmCoFhqljwm0Z6MBEiegKkyRSM5mBXu37kXQ+uzoMQwWJyRGpiA0JkynJkoGpku4w\nVVIHEyWiIzzCIfahuXyYOsmO0+pIXZieMJmSLBmwEa1JG9CyT0kd/k1nTX0MxC70jgUIsQxtz0pX\nYUhpHQWJ1EuFhMkITEqWkE+VdE2WTEmVZDoOmY4jm+kzKlWyIVEC8rKUzfYb/ziI+VCSiDWYMrDB\niDUWGHIwSzkiQeATJqPK8UyQJQNK8DjUIVxsEiXA/MdBzIaSREhEmFZmx/SIhI6J/UsGyZKuqZIc\niBmVKgEUJRVQlIhqKEmKyWb6im/COqP7B5mOBwJ+tDyQGgGmRyRSTCzHM0WWoO/7I0UpPGRfDLIv\nZrxgUJSISngERGpG98l22qc0uq8PlCOiAb7Xnn/TWm2HPeg+4EHzwQ6mDHUweUw4R4QT0hg8EiIk\nZEwps6MglSfdvU3J/SY7Rim5X63wXou+6XimyJJWogRov7eSHIgZs6eSadPvbJl8R1EiUWPV0VA8\n3opsqr9Yj0uIarQswSmD64JUTYREJhnRSgapRc6cEakysgRoKkxeCR70TZU8WaIoNQZFSQ0UJRI1\nbh4REavQfqqdzmuDW4JUSTxUSFA1qq1JJtIVH4+18lRh7yVtZUnnEjxNUyWTyu8oStFDUSJRYv9R\nESGKMCFFsl2QykmEjkLUCCM9DifkyYRSPJ37lZgqNQ1FSQ0UJRIVdh4ZEaILGqdItgpSqSDYIkX1\nUO4xV0qejBcnylJzaJ4qmSBKgFkDHShKhNSGXUdHBhJPpJCFGWPAdUTX0ba6p0i2CZL/4N9FKaqF\nWsXJWGkyYSqersMdNE6VWH4XDhQlQqpjxxEScRtdBVPTddkiSBSj5il93qyRJt3TJV37lZgqNYWJ\nogQA2ZS5kkFRImGidAycEGJnIcQ/hBDPCyGeE0Kcp3I9hASBzimS6YKU7t5W/APkD/IpSMHhPZ/+\n59X/nKsah94wOm9Qq+tmtL516ZbUm7D5rKkbz2az/cZu2MoNZ/VCCJESQjwhhHi6cGz//TLXaRVC\n3CiEWCWEeFwIsavve98sXL5SCHFilGsvRfWs7AyAr0kp9wNwGID/EELsr3hNpITMQK/+G8nqhoYp\nksmCVE6MKEfhU02ajMEgWdKU6BOSAAAgAElEQVQGjUVJDsSQGejVVpZMFSXAXNGgKGlFP4BjpJTT\nAEwHcJIQ4rCS63wGwCYp5Z4ALgfwEwAoOMDpAA4AcBKAq4UQyg6olB75SinXSimfLPy7C8DzACar\nXBMxB90+vAHNDnJ8mCpITI30olSajEuZDJAlHVOlTH+vdu+3uqdKMh2HTMeRzfQZI0sUJRIEMo/3\ngZAs/JElVzsFwO8K//4LgGOFEKJw+Q1Syn4p5asAVgGYE8Gyy6LNEVMhapsB4PEy3zsbwNkAMGXy\npBFvhxvKOoaGiY1uazJRkNhvZAb+301pP5PWvUw69yzp2K/k61Vin1J9mNinZPJAB3d7lGSUcjhB\nCLHE9/UCKeUC/xUK6c9SAHsC+KWUsvTYfjKA1QAgpcwIIbYAGF+4/DHf9d6EwvBEi6MmIcQoAP8L\n4MtSyq2l3y88+QsAYNq0vUttlBBSDUMEiXJkLkYKk66ypOMUPE2HOvhFCdBz+h1FKVpcFCUpZTFJ\ni4D1UsrZVdaTBTBdCLEdgFuFEAdKKZ/1XUWU+7ERLleC8rhFCJFEXpD+JKW8RfV6CGmUdF+PvimS\n5rCszi6M62PStQxPt8EOmg518PqUAL3L7wBz+pRYekeCQEq5GcBi5PuL/LwJYGcAEEIkAIwBsNF/\neYEpANaEvtAKqJ5uJwD8GsDzUsrLVK6FENswpcyOcmQ3RgmTjrKk42AHDUUJMKNPCaAoRUUuk0Yu\nkzZ2/aYihJhYSJAghGgDcByAF0qudgeAMwv//iCARVJKWbj89ML0u90A7AXgiWhWPhzVR0/zAHwc\nwDNCiGWFyy6QUv5V4ZoIqRttDl4KmCBIfjkiblCpJE+7cjwdy/A8UYImvUqeKEHf8juW3jWP6aV3\nwGCqZOr6DWRHAL8r9CXFANwkpbxLCPFfAJZIKe9APiD5gxBiFfIJ0ukAIKV8TghxE4AVyE/A/o9C\n6Z4SlB5BSSkfQvn6Q0JGRLczmAC0K7WjIBGd8f/ute1f0lWWdBrsoOFQh2KiBD37lIqJEvKJku6y\nRFEi9SClXI78ILbSy7/j+3cfgA9V+PmLAVwc2gLrQHlPUliIVE71EkjY6CYlmqBFiVAFvDIrltYR\nP9qX4+lWhqdbCZ6v/E6nE1gsvwsO00vvALD0jtSNlZLEMwUkSrQ4SClFwxSJ6RGpRqX+JW3QUZag\nyWAHjYc6ABSlIKAoEdewUpIIiRxNUq10TzcFiVhBpU1rtaBElpSicaqkCxSl4JB9Mci+mNGiQVEi\ntaLf0RQhpCGUH6xVwEVB6t8W7cF86yiN+nhCwHvtaDfswRMlaNCvpFOvkoZDHTjQIVhkXwzZFHuU\niN1QkjRBJLPFs0mENIxGKZLtclRNhDKxaH4XiVym6lpskSitZUmH4Q66bUKr2VAHEwY6mChKgJmy\nQVEi1dDniMph4omUETE7GY4uG8jqliLZJkiVJCQqERqJamsYSaJMlSctJ+PpNAlPt1RJI1EC9E6V\nTBQl0yffmbx2Ei7qP+FDIh5vRTbVX2w0JMR6NEmRbBCkclKhgxA1QqV1V5In08RJu3SpRJaYKoHl\nd3XiHxFOUQqXXCaNWCJp5NpJ+Jj5qU8IKaJbigSYKUilwmCqFNVKucdnsjjpKkvK+5WYKlVEZ1EC\n8rLEvZTCh6JEKmH3UQAhrqBRimSSILkmRtWoVZx0liYtZUl1CZ5uqRJFqWZMKr+jKBHbcPuIgBhJ\npr9Xjz4gDcbt6pQimSRI/oN+18WoGqXPT6k06SpMWsmSLv1KuqRKGooSwIEOQUBRIjbBowNCmkED\nWdMhRdJm/5oqeAf3FKPGGfbcaZ4ylRvyoIssOZ0qsU+pLihK0UBRIn6sn2ogUjnVSyDEakwY1NC/\nbRv6t21DJpagIAWM95x6z6v3XEe9V1QtlG5OqwzfRrTK0mBdNqDVbPNZnTeeNW3TWQBGbtrqjQY3\nce0kWKyWJJPOAsQTKYhkVvUyiEHoUGqnsyD5D9YpR9FgijBpIUsDiSGypIR0HEjHke7rUStLFKWa\noShFgydKxG2sliQSDImWNogWJnJaokGpna6CBIBypBC/MGViCS2FSSdZcj5V8omSDrJEUQoGihIx\nGUoSIaQhdBzU4D8Ipxzphc7CpI0sQWEJnk+UlMlSIdkC9EiVKErBYLIoEbdxQpLYl0SCJt3Xo3Ro\nQ7qnW2mKpOOgBqZH5qBrSZ5yWVJdgueTFF1SJdXIgRjkQAyZgV7tZImiREi4WC9JJvUlEWISuqRI\n7Dsyl0o9TKrxXttKZQl6pErK0EiUAH1TJYoSIeFhvSQRQoJFpzI7ltbZg27leF6qBCiSJR1SJWhQ\nfgeKUjUoSoSEAyVJMzjhjlRDZamdTmV2FCR70akcTwtZgqJUSYfyu8IaONBhZChKhAQPJUkjdN8g\njhBAfZkdy+vcQadyvFJZihSNUiVlaJQqUZSah6JETMCJI4x4vBXZVH/xPyUhpH50SJFcSI/6uroC\nu61UZ2dgt6Ua73eeyGWKr4PWUaMiX0epKCU7IlzDQAJoyRRFKdneEd19p+NAMlsUpWSqPbr7LllD\npr8Xida26O/fhxyIQbTkkBnoRaJF7Vr8FEUJfdqfeJV9MYhUDtlsP/vHiZbYe6RBiIWo3kBWZYpk\niyBVk6B0IpjHl8xkahIu00RqyO9fsSzJRDp6WfJKbQuyFLkoAUVZoijpKUpAXpYoSg4hc0zlQsDs\now0SKaIlVywzIApR0I+kOkUyVZAqSUpQIjQStdzHSCJlgjwVXw++Erwohck7aaBMljRIlShKFKVm\noSgFgBSslgoBs444HEEks8XIXBcSLW3a1V+TaFGVIpkmSKXSEYUQNUqltVWSJ13FSXUpXqksOZMq\nqRYlABnkP5dUyhJFqXkoSkRH9P30DhhT+pLiiZQRTZfKSWaVbubqEipTJBMEySQpqpVyj6GcOOkm\nTbrIkjOpkjfQAexTKg5zAEWpUTxRIkQXzP80J86RaG3TYsKRS6jsRdJVkPzCYIMYVaP0MeosTTrI\nUuQleK6nShqIEpCXpWK6pZEsmSRK2RTTJKIHescqhGiIqjG4qoc2RI035lsn+rq6in+AvDi4IEjl\n8B67/zkofX5Uo3J8uLKR4apGhaseE84R4VWR6TiymT7tq1VkX4xDCIgWOPfpLlI57UvuiAGoKvWL\neGhDunubkhRJ1V44lXAtNWqEYc+LRimTymRJZaqUhoLyOyZKAPTtU5LpuBGb1jNRIjrglC2Y8p8t\nnkgZ8SZGSBjo1ofE1KgxdEyZVCVLTqVK6TiQjiPd16MmVWKiVBUvUdIdJkpENU5JEmmOREsbRAub\nKkn46CBI3gE95ah5dBMm1bKU7t4WnSy5WH5XEDWKUmVMESUAFCWiDH7yE0LKoqLUToc+JJbWhYv/\nOS0d/hB1SZ6qMrzIS/AcLr/jiPDKmDDMgaPBiUqcS5Li8VaOmCREQ3ToQ2JpXbRUSpiiRkWypKQE\nT1X5HTjQgYlS43h95EyUSNQ4J0kmwb4k4hqqUiSW1qnHL0yqyvFUyRKA6Erw2KekDIpS41CUiAoo\nSZqic/ztOslUe34zW4uJegNZlSmSPz0ieqA6XSqVpbCJPFUaSAADCaR7ut1JlShKI0JRImQ4zkoS\nS+4ah8Mb3CDqfiQVKRIFSW9Up0ueLDFVChCKEkWpCShKJEqclCQ2/zWOLk2nidY269McP+me7sj3\nSIoKVSkSBcksVKZLUZbgKUmVQFGKGopS41CUSFTw6EBj4okUsuiDVLVxKSEREXWKZIMg9W7dGsjt\ntI0eHcjtRIX3O/NPxotiKl7pJLywp+D5J+BZOf1O5eQ7TTad1XXqHQBkM5x6R4i5RwgBIFK54hkJ\nQkieKPuRVIz89gY0mEA1EQrkcVS5D10lashjj3CMePH1GsHI8NJEKRJZaskg3dMdnSgBSIOipJMo\nyXQcIpmlKBHnMeNIIQTi8VZGtYRUIOp+pKhQtXlprZSTorCFrurtV5AoneRJRbqUiSUi218p8lQp\nSlEC8pPvkC+9i1SWKEoVoSgR4rAkmYRIZrUquUu0tCGD3mJNNSGNEHUvkq4ldqVipNv6yq0nmckM\nW7cO0hS1LEVZghfpBrSKRElJ+Z3XowSKUimmiRIhQaPXp7ECdC+5iydS2jdREtIoUZXa6SZIfsHQ\nZU31UHbNGkmTKlkKuwTPS3gjSZUc7FOiKA3HJFHKppgmkWDR1w4igP+ZzMa1CXekOXSQkd6tW4uC\nZNvGtf5x3elEovhY/Y9Z1ZqAaCbiRTUFz+rpd4on32X6e5VOvtNx6p1XyWLCCVu2UZAgcVqSCCFq\niLLUTvWgBr8o+CXCdkofq0philKWotqI1hsVHsmeSo6JEqB2RDhFqTE4GpwEDSUJZmwsKzRMTLip\nLGmGKErtVA9qsDU1qhddhClqWQIsSpUoSpFCUWoMihIJEuclyYSSOx3rgHWplyakEir7kEqTIzKI\nDsJUKkthEWWqBFCUwrhvitJQKErEJZyXJEIaIZlqt7IfKt29LfTx31GW2qkSJFX3bRqqhcm7bxtS\npcjK7wYSwEAC6Z7uaGSJopRfA0WpLihKJAgoSQVYcmcwfF6MI+xSOxVldkyPmqOSMEV532HKElOl\nJkjH83spUZSUraEUihJxAUoSWHLXKImWNuV9SSrHtRK9iVJUmB4FS6UpeVHcLxBuv1JUqRJgmSgB\nRVGKXJYoSmUxSZQIaQR+ohNiAMn2jvx+JQP8L1uNqFMkClK4+Pc88p7rMPdgKt1jKYz9laLYhDay\nzWej3nhW5aazySwy/er2UtJ5HyWdcWEPJSlzWsuqqfBT3YfuG8sC+ZI77+wNIaQ8UQkLBSk6VMkS\nQtyMNhNLhC5KQASbz1KUIkNXUcqCm80qRQoeG4aA3kYQISb8x9H1DUh1yR0A9iUZQpRDG8KGgqSG\nqEvxwi7B83qVjC+/c2XyHUvvKmJCksH+JFIP/HQnTZFoaVP+Rp1obVP3gZXMFj80SW2EObQhqo1j\nTROk7i1bGv7ZjjFjAlxJsESVLkVVghdV+V2oiRKQLw0Gwk+VmChpkyh5ZXfZjL6JkuyLQaRyyGYt\nTpRIoDBJ8hGPt3LKHamZSD+UiTboKkjdW7ZU/JNOJhv+M9LtNiNfQRLVVLywp+CFPdTByoEOjiRK\nff1xfOQLxyCbFQCABx7bAcef9j4cc+rJuPrXewMABtICH/7kEchkRCRrKsWkQQ5MlEgtUJIMQ9cz\nNISoJoqBDToJUjlZqSQ6zTCSQJVbh0pxilKWgHBK8MIeFR7pfkqgKAXFX+7aDScc9SbicYlsVuB7\nP5uN6y69H3f/6W7c8ded8NLLnWhJSsw9dB3u+tvk0NdTCYoSsQlKUhlMSJN0QodR4ADYl0RClRcd\nBKmaFEVNreIU+boikCX/fYSdKoWBdX1KBovS6jUd+MgXjgEAPLdyLPaaezo2bWlBNivwno+ehN6+\nOO7426447sh/AQCWrxiHXaZ0YerkbrQkc3jvsW/gnnsnAABOOGYNbvu/nZt8UM1hkigRMhJ8lZRg\nSp0qS+6Gwv2SSBSoEqRKYqQjOklTVLIEhJcqAYaX3zkkSo0yetQAunvyz9Pvb94L0w9Yj61dLVj8\nyI6YN+dtxOMSq9d0YMqO+efwrXVt2HH7wce4w8RevP1OOzIDvdhnz61Y/tzYptYTBKaIEtMkMhKU\nJANhyZ1mUFitJ4qNTMtRTo5Mo5o0RbKGkGUpzFQpivI7gKIUxP02miZ1jkqjry+BTVtasG5DG2Yd\nvB5btrbghtv3wEc+sAqbNrdg9Ki07yeG9xwJmf9bZnuRTOawrVt9SbApI6kpSqQSlKQKsOSufrQo\nuYuYKIc3JNs7gJZMZPdnElFMtYsyRbJBjiqhUphKZSmM2wfCT5WChqIU3P02IkqxwpHYTbfvgQ+d\n/Ao62tNY+fJ2yOUEdpvahVRrFv0Dg8Kxw8QerH178LPnrXVtmDShtzgafKBfoLVFj5N3Mh3XPk0C\nKEqkPJSkMrDkrn50GEEKgKkOCZzerVsjFyTAPjkqRyVhCv1+S/ZZCuO2gXBSJSD8gQ6hQVGqiIhJ\n3PfQZBx/5JsY1ZHGddfvgzNOfRkAMGZ0GtmcQH9//pDtoP024rU3O7F6TQcG0jH8371Tcezh+X6l\njetSGDe2H0JG/LhHgKJETEW5JAkh/kcI8Y4Q4lnVaylF5zSJJXfDYV9SMMhEuvqVHCHKMrvScd2u\nUWnseKj3GXIJHhBe+V2YfUqhTr6jKJUlmczhyHetRSIhMaojg96+BI6et6b4/cPnvIUlyycCABIJ\nie9+dSk+/ZWjcNIZ78G7j1mNvXbfijv+NhUnnv4evPzaaBz5vlNwy+2TAn1YzUJRIqahvmgV+C2A\nXwD4veJ1DCEeb+V/lgYQLbli5O8Ulmwqm+wYFf4eKoYRRYrkT4/I4POQTKeHiFIYG9uGuSFt8bVT\nEKUgN6ENc/PZ0DeeHUgALRmke7rt3XAWqGuz2Tt/97fivz908iv40MmvDPn+x/7tRfzmhn0x75C3\nAQDz567F/Llri9+/429T8a0fz0Fff/41t+atDlxw8aEAHsdpp7zT5CNpHpM2myXEQ/nRrJTyAQAb\nVa/DROKJFEvuyhHxc8JNZUkzUJAqE2U5Xpj9SqaW3wEh9inZnigFvIfSAftsxqGz3i5uJlvKpddM\nKwqSR19fAj/75XRkBqLZ8LYanHhHTEO5JNWCEOJsIcQSIcSSjRui3XODZxXMwomSOw5vGEJYQxui\nKLWjINVOlLIEBF+CF9ZQB4pSjVggSh9636uIx+WwyzMZgTVvlz9Zt7bC5aowQZQAlt2RPEZIkpRy\ngZRytpRy9rjxwZdbVIIDHOpHm41lLSX00hQyhDBL7ShIjVGudynw+wgpVQprqANFqUYsEKVSHls6\nCad+6kSUGwsOADtO6oEciGmTJgH6jwZnfxLxMEKSVKNzmqRrba+TaCSrpDnCTpEoSMEQlSyFmSoF\nRZgDHSIRpYEERakO3lzbgS9eMA8fP/cYbOtO4swPvYDWkiqDVGsGXzvn6eLXuomSzmmSJ0rEbXQY\n3KA1HOBgHonWNmTQG+kghWSqPfoJSiRUwkqRKEjB4y/D8whyyEM6kSgOdghyqEMykymKUlBDHcIa\n6BD6MAcgL0qwdJhD4T7rGeZQjp7eOBb8cT9c96d9EYsBX/7scnzmIyuRas3i4P034tJrpmHtO+3Y\ncVIPvnbO03j/iW8AAORADKIlh8xArz79w4D2gxyI2yiXJCHEnwHMBzBBCPEmgO9KKX+tdlVmEU+k\nkEWfNhF2oiUvKU5OuSOkBnQSpK5NmwK7rc6xYwO7rUYonYoXtCgBAAKcgOefrNfX1UVRAihKFZAS\n+L97p+Inv5yOt95px/uOfx3nf+Fp7Lj94Mm595/4RlGKyt6GZqJkwsQ74jbKJUlKeYbqNVQjHm9F\nNtXPswpEC5LtHUiju1jLH/jtF8aAeyU2JDi8fZBUUipFmZaWQG43MTBQVrhUiFNpsmRSqkRRymPt\nePAGROm5ldvhoitmYsnTk7D/3htx+fcfwexp6xu6e4oSIbWjXJJIcIhkVps0CVC7Z5Kykjv0WLFf\nEgmesDdGHYmwxKiW21QpTulkcsheS0HJUlipkkmiBMCqfZQipcb73LCpFZcvOAg33bEHthvTj4u+\n8QQ+WGHCXT1QlAipDUpSHYhUTts0KZ5IadUEmWhp06pJlJBa6d26NbR+pChTJL+chCFFtVJ636WJ\nU9jCVG5j2iBlKchUKYzNZ8PedNYWUUoj4s1m03FkUD5NSmcE/vi/e+GqXx+I3t4Ezvzwizj3089i\ndGc6sLv3REkXPFEiRCcoSTXCAQ6EkEaJMkXSRY4qUbqmqIQpLFnyixKgZ6rkjQgHRakyKkQJGFZ2\n9+DjO+Din8/Ay6+NweFz1uJbX34Ke+4azrRNORDLi5oGaRJQmHgHpklEHyhJdaJ9mqTRAAfAvZI7\nAPkyipDvM+y+JBI8UaRInnDoKEeV8K81CmEKY7iDfwBDkKlSGOV3KIwHD7r8zgpRApT1J/1r3UT8\n6MrpuO+hKZg6uQvX/OQBHHP4Gojy2x8Fii5ldx4suyO6wCOsOmCaVB8ultzZMgo8zOENiVxm8My2\nA0SVIpkoSKVEKUxh9CuFUX5nUp+S8aKkYJBD99ZWXHvjgfjtzQcgmcjh6+c8jU+evhKtEZXCsT+J\nkMq4c6QSIDqnSQAHOAwjgmSH1EbrqFGBb3RpAmGmSDbIUTm8x+PvYQpalsIowQt6qANFqYBlopTL\nAXcu2h2XXjcT6za24/3Hr8LXzl6CnSaHdpcVoSiRIBFC7Azg9wB2AJADsEBK+fOS63wUwDcKX24D\n8Hkp5dOF770GoAtAFkBGSjk7oqUPg5JUJ7qnSRzgUHL/rW2B7nJeM1GJWUuGJXcOY6sg+YkiXQqr\nBC+oVMk/0IGiZL4oPbNyPC6+eg6efn4iDtpnPa787mJM3299ofQOTW022yi6ihIxkgyAr0kpnxRC\ndAJYKoT4u5Ryhe86rwI4Skq5SQjxbgALABzq+/7RUsrG5twHCI+uLEW3NMkloiq5S7Z3IN3THfr9\nkMYJs9TOBUEqJex0KegSvFCm3xkw+Y6iVJ51G1O44jczccvf9sSEsb24+GsP49TjX0bMK7RQMY7c\nh44T7zjIoTakzGnT3iClXAtgbeHfXUKI5wFMBrDCd51HfD/yGIApkS6yRihJDaD75rK6pUkAS+5M\nRSbS3FS2ScIotXNRkPyEKUtBp0q69ylRlEYgIFEaSMfwx9v2xdV/OhgDA3F8+kPP4vMfeQajOsqM\n9B5hNHgU6DbxDuAgh5qQiPIYa4IQYonv6wVSygXlriiE2BXADACPj3B7nwFwt+9rCWChEEICuLbS\nbUcBJclidEmTWHIXMiGV3HnDG4ieuCpIfsKWpSBFCYC2fUoUpRFoMt25/4nJ+PE1s/Ham2Nw1KFv\n4huf+yd2m9JV9edKR4NHjW5ldxQlrVhfS5+QEGIUgP8F8GUpZdk59kKIo5GXpMN9F8+TUq4RQkwC\n8HchxAtSygeCWHi96BmFGEA83gqR0ieWLkXHNxPlMX6EZQxRTUaKYiRuGCRymcBuK9XZiWQmuNvT\nna5NmyhIJWRaWorPSdemTUN6l5ohnUwinUyie8uWQEonPVny9lQK4rb6uqofcNeCN3EyjMEqoZ1s\nKZwcCr3sOB2vu4T61Tc78bkLj8E5Fx4LALj2ontxzQ8W1SRI3sk1JSf3MJhIaFO+pcHJXlIfQogk\n8oL0JynlLRWuczCA6wCcIqXc4F0upVxT+PsdALcCmBP+istDSSKRoPqMlMozcmQoQW9m6RJBHfzb\nSpiyBATTY+aaKHnluq6I0rbuJH66YBZOOfv9WPrsJJx/9hLcfu2dOHLOmrrvD6Aoech0XLs2AlIe\nIYQA8GsAz0spL6twnakAbgHwcSnli77LOwrDHiCE6ABwAoBnw191eVhu1yQ6jwPn5rJqSabakUaP\n0b1QYe6XZDvdW7aE0o/EFKk6pWV4QZTgBTnUIejJd7qX3olMEjKRDr30Lgoq9SflcsCtC/fE5f8z\nAxu3pPCBE1bhK59+ChPGNnFg79tsVuXEO51g2Z0RzAPwcQDPCCGWFS67AMBUAJBSXgPgOwDGA7g6\n71TFUd/bA7i1cFkCwPVSynuiXf4glKQm0H0cuG6o7k0CYOUAh2R7B9Lo5ihwy9ElRdqycWPdPzNm\n3LgQVlKdTEtLoP1KQQ51oCgFzEACaagZ5PDUign44dVz8OyLEzB9/3dwzUWLcODeG0a4ofrvUxU6\nDXJgf5IZSCkfAiCqXOcsAGeVufwVANNCWlrd8KgqAHROkwB9BjioxvoBDoaRyGWK5T2kNlSkSOWk\nqC9e5+u5zG1EJU5hDHcIaqhDkAMdKEp5opx4t6l7PH523Uzced8emDS+Bz85/0GcfOyrECMeHjZ2\nnyon3gEc5EDchEcoTaJ7mqTbOPBESxsy6HVmHHhUeyYBCH3KXZAld62jRoXSIE6Cwy9HdUtRCWV/\nPmJxCroEL+jpd0GkSs6LUkQT7/q7W/CHvx6AX908E5lsDGef/gzOPuMZdLSFW/KnuuxON1EiJGwo\nSQHBNMkMlKVJIeP6xrKpzk6gq2vwzLxlRFlq58lRs2JUjdLbT2WzQ8QsLGEKsgSvdKCDDuV3FKXw\nRElKYPE/d8FPf3sY3nx7NI4+9FX8v88/hak7RXDCh/1Jw2CaRMJG36N6g4jHW1UvYUR0fBPR7c02\nTJKpdqU15cQOwi6127JxY2SCVI6+eLz4p3Q9QVM6Ba9Zgpp+F9TkO+en3oUw8e7l1dvhnB+8G+f9\n5AS0JLO49jt/xc/Pvxc7jnsnsPuoigYT75T3FRfwTvrqVClD7MPO066KYJpUG6oHOCRa8yV/VvYJ\nhVRyBwAykQ685A7btrEvSTFBltUFxZB1hJguBZ0q6TTQgYlSMInS1u4W/PeNM3HD3QegPZXG+Z96\nBP9+0gokE7J4nUoT70JB8SAHgP1JxB30PaI3DKZJ9eNSmgQg9A+2MGvww2qy1hWXNqcFMCTB0Y2w\n06UgUyVXEqUgCXV7gSZOGGWzAn9ZuC9O/uKHcf1fD8Rpx63Enb+4CR9733NDBMk72RZZ72nhPrl/\nUh4dTvwSe6EkBYxI6X3gr0uzo+qzUInWtkjPxkV2lhGIbL8QHQlCbpodx2wSWzZu1FaOSolCloBg\nRCmdTFotSkEPXRGZZKibzdZbdrd0xQ444xun4r+uPQK7Td6MG396C779uYcwbkyF0i4VogRuNOuH\nZXckDFjnEiCcdFc/Lm0uCyD0yXphDnAIa2PZoEaBpzo7AzsQ1ImuTZtC6UcKq98nbDxR8g96CKoM\nr1SUmi2/a3agg86ldwiw7M5D9Wjwt9Z34LLfz8E9D++JHSZswyVfvQ8nzn2ltpHeUZfBcZBDEZbd\nkbBw6Og0Opgm1YbqNNshocYAACAASURBVAmAvWmSIQR9kKUbyXRa9RLKonJAQ1CEmSzpVH6na6IE\n2DPIoa8/jmtvnoH3n/th/OOfu+JzH1qK26+8CSfNq1GQPNLxyMvuVKNLmsSyOxIGlKSAYW9S/ag6\nG6VyY77QCbHkTib0PPDXjWb3zgkbkwXJT1iyRFEaGRsm3kkJLHx0N5x63ofwyxtm44hZb+C2n9+M\n/zj9SbS1Nn4Cjf1JapDpuHbVMsRsKEkhwTSpNpxMkzjAYRiJXDBSl+rsDGzogq3DG0wts6tGqSwF\ngV+UmpElilLtRCFKAPDi62Nx1vfei6//7Dh0tA3guu/dhUu/fh8mT2ryfh3tT9IJihIJCv1e3RbA\nNKl+mCaFgCEDHHQsubN9eIMtKVI5PFkKKlUKavodRal2wpx4t2VjBy7670Pw4a+fhhdfG4cLPvsQ\nbvzZrZhz0Nrg7iTq0i/un1SE+yeRIKEkhQjTpNpwLU2K4v7CTpPCKLkLKk0C7E2BSO2EmSo1CkWp\ndoKeeJfJCty06EB84IKP4y/3HYwPHrMcd/3iJpx+0vNIxGX1G6gX9icpg/1JJChqkiQhxHm1XEYG\nYZpUP66kSRwHPpwg06Qgpnd5ULbMJoxUCbBPlIIgrE2hgxClJS9Mxkf/69/xkz/Nx147r8f137sR\n3zhzMdrj4Zeesj9JHUyTSLPUmiSdWeayTwa4DiuJx1uZJtUI06QQbj7ENAmwf4BDUCV3Ok24M2lf\npCAJMlWyUZR03UOp2f6ktes7cf7VJ+FzP/0AuntbcMnn78Y1X78Ne03ZUHXiXSCwP0kZLLsjQTDi\nqR8hxBkAPgJgNyHEHb5vdQLYEObCRliTiru1Eu6bNEiitS3SD5Zkqj3yD84g8fZMCpqg9kwC8ilQ\nkGfKG6FjzJimNxUFgMTAQCh7JblEUQ4D2Fsp09KCxMAAujZtangvpXQyiWQ6je4tW5TvowQgsD2U\ngHzZXVDpsMgkIRPpuvZQ6u1P4Ld3z8Qf7pkJISQ+f+pj+NiJTyHVUnJiaiARftru4P5JGfRqceLT\n2z+JkEapdgTxCIC1ACYAuNR3eReA5WEtyibi8VZkU/2QffqcYSlFJLNa1PAmWtrUR/Uhb/Ya9f0l\n2zuQRveQqU5BIhPpwJqsW0eNCuwstE0by3aOHdv0GGoySF88XtyI1iZRaoYgN5vNxBJI5DKhiFI1\npAQWPrEXfn7zXLy9qRMnHvoivvTBR7DDuJHfV2rZaLYp0nGk0RNdqXXUYlaGzIA+opQFN5kljTHi\nkZOU8nUArwN4VzTLqY1YIolcRp8SlloQqZyWosQ0aRCmSfVhQprULG2jRwNbtypPpEiw2ChKaDJN\nMkGURkqTXnh9An725yPw1EuTsc/Ud3Dx5xZixl41TKwrpEmhixLyZXdR9qSqTJNU9RhXIpuhKJH6\nqXVww2lCiJeEEFuEEFuFEF1CiOYKoRvGvHI7E4Y46BJJ63DmycreJEM2lw16gIMOgxc6xozRqi+J\n5AmqT0mnHiUdJ94FTemJmU1dKVz8+/n42A/+Ha+uHYdvfWIR/vDtm2sTJA8b+5M4FrwI+5NIo9T6\nLnYJgJOllM+HuZh6YJpkN0yTzCCsNEk3dOhvMpmN69bV/TPjJk4MYSVDCapPSZdECUDT/UlBlO95\nZGIJIKT+JLSOxs3/OBAL7piDnv4kzjjuaZz9/ifQ2T7Q2I1b3J+kEp3K7nQ5GUzModZP/bd1EqR4\nvBXZbL/qZdSF7muOJ1LIoo+9SR7sTVJG66hRwLZt2gxwaBs9uukz9EFg2vAGvxhty9Z3cDIqHh/y\n82ELUxDld0GKUqMENcghnUgAGg9yeGzVZPz8tuPxyprxOOyAN/D10x/EbjsF07dnY39SBmrL7nQR\nJcDesjuZyylLDW2m2nS70wr/XCKEuBHAbQCKR/pSyltCXNuIeCVsTJOCRZchDgDTJFPw0qSgBjgE\niS4DHLwpd15ZVb2YNrzBE5x65cjD/3N+YQpTlnQSJZsm3gXZn/Tm+jH4+R3z8cCze2LKhE247Ny7\ncOS01xDY0Fv2JwWOTv1JXppkpShJocWGwrZR7fTqyb5/9wA4wfe1BKBMkjxMKrszIk3SpGaXaVII\nN880qeGf5wCH2mlWkErxbicKWdJFlABYOfGuUXr6k/jtvYfi+sWzkIjn8IX3PojTj3kMLckshAiu\njxEAy+5CQpc0iWV3pB6qTbf7VFQLaQTdpaMcHAleO4mWNmTQyzTJAJgm1UYynW44TQKaL7kbM24c\nEMGGskEJUrnbDFuWdBAlWyfe1dufJCVwz9L98Mu7jsC6rZ149+zn8B/vfRATx3QDiEEiW9f+STUz\nkEAaLLsLCpbdEVOp6bSoEOLKMhdvAbBESnl7sEuqH5PSJA9dy+50SpM8lJbdoTeyNCmZakcaPUan\nSUHvm6RTmtTsbTS7sawJJXeNDGiolyhkyRZRAvQa5ADU3p/0/Ortcemtx+CZ13bC/juvxY8+eScO\n2nXoxLpa909qFJbdBQfL7oiJ1HrkmQIwHcBLhT8HAxgH4DNCiCtCWltN6D5euxwmrFmXOFqXs07W\nEUI5SeBncwMkiAb0Zvs7XCGMFKnS/Xj3FYacBTEivNnx4M2OBveEPojBI0GOBR9p0+gNXe246IYT\n8KkrPop/bRiDC0+/B78+7/phguQnlAmbUZQlOzYWHID6MvoCOlTLEP2pVZL2BHCMlPIqKeVVAI4D\nsB+AD2Bon5IyYgn9ynyqIVJ6nFUpRcczK6rOQCVa2yKt5U6m2qPZNylEgt43qZlehjBo5qx6EHsm\nJQYaHHFsKaaIUqM0U54JBCNK3m1s2diLL1/3MWRz+UkJl9zyPpz2oy/j01d+dvC6mRjO+9XHkc2W\nn6ZQKRlOZ2L44z9m44M//DTuXro/Pjp/CW7+5v/g5DnPITbCkYqXXIclSqHunQRE32yvUA68ihBd\nRAng3klkZGqVpMkA/EdWHQB2klJm4Zt2pwoTkplSdF8zN5gtwbINZgE4mSY1WzakOk1qZhCAx5hx\n45CKKO2JCi9V2rhuXeCyFJQoNVsq2exGs82STiSw8JnZOGL/lYjHJADgxBlP48dn3jDkeslEDjP3\neA3/eGb/EW/PnyY9vGI3fOSnZ+KqO4/CjD3exJ//83c49+QHMCpV2wmBsHshQxclRJgmFVC5yawu\nME0i1aj11XoJgGVCiN8IIX4L4CkAPxNCdAC4N6zF1UM83so0KQR0ESVAcZoUIVHUp7ucJgXRX9Hs\nbTBNCoewUqUgRAlQV3bnMVKa9PbmsbjgD58BALy8dkeccvFF2NrThmxO4NwF56I/ncSiFTMxe+pT\nxZ+ZtttqjG4bfrB9+H4rce/yAyvel5cmrXqtBV/51Qfw1evyu41c/tn/xWVn3Yapkxp8nlh2V9f9\nqUSXNEmm40yTSEVqkiQp5a8BzEV+n6TbABwupbxOStktpfzPMBdYLyaJkglpki4wTQoJg9KkIERJ\nh96kZprwgWDSJADWpUkeYYtSo+jen9TR2ove/vxn0l1L3oV9Jr+B7r42LFm1D6bttgqxWA5vbx6L\n7cdsqtqftOv267DyzR0rfr+7rwW/WHgCzvzlF7Dslcn40vsX4/r//B3m7vdaQ48NYNldI/enOk3S\nRZQAlt2R8owoSUKIfQt/zwSwI4DVAN4AsEPhMq3QXTrKEY+3Mk2qkURLG9OkIO/DsDQpSFxPkxqd\n2GYKYfYp6TDIoVFGKrtrT/WjP5PE1p42bNo2CvtNeQPb+tqw8KnZePfMJ7C1px0dqb7ibYwkSvGY\nRCKeQ0//0H6sXA64e+nB+MQVn8fNDx+GE6Ytx/XnXYWPzl+KZKL593aW3dWPalHSAZbd2YsQYooQ\n4utCiNuFEP8UQjwghLhaCPFeIUTVF2G1HPmrAM4GcGmZ70kAxzSw5tDhSPDg4EjwEizbYBZAPk0K\nuKTE2zcpaBK5TNMjwYPYN6lt9OimGuFdGAeumm3ZbHFMeFAjwoMcDd4MYeyfFBP5PqOFyw7B8dOX\nYvW6SXjtnR2Qy8UwefwGbOtNIZ1JFG+j2kmCdDaOlsTgdVas3glX3XUiVv5rJ+y/85v44cdvwj6T\n1yKRy6B/W7AnQsLaO4mbzAaPLnsnyXQcWXAkuE0IIX6D/EyFuwD8BMA7yE/r3hvASQC+JYT4f1LK\nByrdRrXNZM8u/H10UIsOG2M3mNV8zVptMKsooi9uMBuRKEWxwWyyvSPUs6NB75s00ujgetFl3yRV\nm8uGtbHsqHg8sjHg1dBVlABouX+SEBJPvLgvfvSJ67B+6xjc9tg8fOLohQCAUW19yOZiGMgkivKT\nP9kwfA1betqwXUcPEvEc1m8dhV8tPBp/X3Ywxnd24ZsfvB3HTXsWojD8LhNLBNpz6O2dxE1ma78/\n1ZvM6gT3TrKKS6WUz5a5/FkAtwghWgBMHekGat1Mth35VGmqlPJsIcReAPaRUt5V74qjwCu7Y5oU\nDF6apIsoAYo3mI2wPMHkDWa9NClIUQLsSZM8kul0Q6IUVJqUymYDE6VxEydGsqFsPXiiFCSeKDVK\nUBvNNkqlJCgZy2LWHi8iHsuhvbUffekWzN5rZfH7M3ZfhRWrd8H03V5GOpHAZbd8EM+s3hNbetrw\n4UvOxZy9VmHJqt3xzpYxaGvpx3/dcCoee3EvZLMxfOTIh/HRox5GW2v5dde6yWwtcJPZ+lG5yWwG\n+qRJurQXkObxBEkIcZ6U8uf+7/kuWzXSbQgpZdU7EkLcCGApgE9IKQ8UQrQBeFRKOb3h1TfI9On7\nykWLfl31el4yY5IoZbP9WkqSRzbTp40kZQZ6lZXcFSUpoueimCaFeH/FNCmESU7p7m2BSlL/tm1N\nSxIw2FPRbJrUu3VrU7fRTJrkSVIze/FsCThN8iRJlzTJY1Q8HliaBAwOvmgmTUoMDDQ8iMOTpGbS\npGQmU9cgklfe2hG3Pz4PXznlL0NuI9XZiXuX7Y9Lb38v+tNDX4t777QG3/73WzF5/OYRb9tLk4IS\nJU+SQhkk05IJXZKQzEYqSUhmlUgSMDi5VgdR8iTJS5Om7HXyUinlbJVrqoUD995N/uWX34/kvvY7\n4UwjnhMPIcSTUsqZJZc9JaWcUe1naz3K3ENKeQmANABIKXsBlN8pThM4xCEcdDrLwiEOAd6HYUMc\ngpx0Z/IQBx0n3QUpIkETZMrlwljwUnbfYS0O2uWV4mayHn1dXViw8OhhggQAm7vbqwoSUHmT2Uax\nYdodhzhEj3ciWLdebFI/QogzhBB3AthNCHGH789iABtquY1aX5kDhfRIFu54D2iwiWwtmDQS3ENX\nUdKpTtc746S0npkjwWuCI8FHptmR4IB+k+7GTZwYeIlbs4Qx8U6XseCN0kgCetz0J4ubyQLAyvVT\ncNU9H8D6reVfx+u21Pf6DrLvkNPu6rmj/GtZlSgB+owE16VihjTNI8gPnnuh8Lf356vID26oSq3v\nkN8DcA+AnYUQfwIwD8An61tr9JgwEKEUE9asS28ShzgEfB8c4qD0NprtTWpmiAMQbG+Sh05DHIBw\n+pMAGD3tDig/xGEk+tMJPPz8Qbh76Ry8uGZntCQGkEoOoC89vIJj4pjak66ghzh4cNqdpvfnwxvi\noMu0O4BpkulIKV8H8LoQ4jgAvVLKnBBibwD7AnimltuodTPZhQBOQ16M/gxgtpRycSOLjpp4vJVp\nUoB4aRLL7hSV3YX8vCfbO0JNk4JuprYtTVJVducd4LPsrn6CEksT0qQ1G8fjN/eehM9cdT5+fue/\noae/FWcd/3/4zZcuwbkn3orWxFDZa00O4Kzj/1HXejKxBNOk0vtg2V3k6HAimATGAwBSQojJAO4D\n8CkAv63lB2udbveHwp08KKV8ocFFKsWkvZN0T5N02jtJZZpUhHsn1UTQeyd5aVJQ0+7Q1dVUEtQ2\nejTQxBCHZvdOApofCd5sf00p4yZOBNatsz5N6ovHAYPTpEp7JwFANhfDEy/ui3uenINlr+6JeCyL\nw/ZZgZNmPoGDdnm1OMr78Gn5Sbu/e/AkrNsyBhPHbMFZx/8Dx01f0dCagpx2BzBN0vb+yqBTmkSs\nQEgpe4QQnwFwlZTyEiHEU7X8YK2f5r8BcDiAq4QQuwNYBuCB0pF6uqK7dJQjHm9FNqX3tDutyu6g\nZtqdkpHgLLsrwrK7QVh2Zz6qRoJ7+MvuNmztxMJlh2DhU7OxcdtoTBi9GR896l4cN20JxnWW/z93\n9AHLcPQBy5pOZ7l3UglR750EtSPBddk7SYfjGxIIQgjxLgAfBfCZwmU1fUjXdCUp5SIhxP0ADgFw\nNIBzABwAwAhJ8jApTfLQfe8knVC6dxJ6I0uTuHfScGzZO8lLk1TtneSlSWHsnaSbKAW5wSygPk1K\nJ5NNp0nxdBbLXtkDdz85B0+8uC+kFJix+yqc8+47MHvP/P5J1W4jiGmRHtw7qeQ+oto7qZAmqRIl\ngGkSCZQvA/gmgFullM8Vwp6a6oBrLbe7D0AHgEcBPAjgECnlOw0uVglemmSSKOmegMUTKWShx95J\nLLsLCYPK7oKAZXfhld3pJEphDXAIgkbTJI9GRKmrtx0PrjgE/1j+Lry1eRJGt3fj1MMexokz/okd\nxtYv3X1dXdqlSR4su9P0/nzolCYR85FS3g/gfiFEpxBilJTyFQBfquVna/0UXw5gFoADAWwBsFkI\n8WhhvyRj0F06ysGyu/pQmiax7K4ugi67Q0CbzAIsuxszbhwQ8CazUYmSlMCjK6/GIXv9J5Lxbtz7\n9G1IxHsgkIMQWRx5wJkAgKdePxf7iBWYMmF5oPdfz6S7dCaJ3y86H5867ofo6h2L/33kc+juGYN4\nQmDefg9h/kGLkMnG8Yu7voxzT768epJTR9mdlMDLb+2C+56ei8dfnI50Nom9d3oFH5xzD+bPeBnJ\nRGO/I6ZJlqRJBVSW3WXANIk0jxDiIAC/BzAu/6VYB+ATUsrnqv1sreV2Xync0Sjkp0L8BsAOAMzb\nsRUsuwsSncruvDTJlbI7AKGnSSy7awyv7K5RUQqq7E63/qQoROmdLfMwuv0lJOODgv+ufT6P1uTQ\ndG7vHW7Gky99J1BJ6ovH65oQ+OTLR2H/qf9ELCYRE1mcNPN6TO18Cf3pFK5edAn2mfI8dhy7FntP\nfgFPvjwbh+z1RPNrHGjBIy/MxKLlc/H6uilItfThyAMfx7EHP4qdJ6xFMpNBpgdINjmxkWlSCDiU\nJnmw7I4EwLUAviql/AcACCHmA/gVgLnVfrCmI0khxBeFEDciP7DhVAD/A+Ddja625LZPEkKsFEKs\nEkL8vyBucyTicfO8Tvc1xxMpbUaCa/FmGtFzUTybyE1mAaB4tjmoseDNng3nWPDyeH1AjZa7rVr7\ncbzy9ocBAM++8RU88sLVAIB1Ww/Bky9/H//acBJ22O7+qrfT0foW+tKd6O7brqF1VGPTton49cJv\nAQDWbNgF3/njH9DTPwq5nMAv7vwRBjItWP7qXOw75UkAQGf7Fuw0/nVkWlrQmuzDDtu9hS3d+bUd\nvNsyLHlpTk336/UmlfLm+u3xu0Wn4dxffQ+/ue/DkBD41LE348rPfh+fPOYW7Dxhbf7nm0xQg7oN\nD44EL3MfHAlOSD10eIIEAIUtjGqKfGt9J2sDcBmApVLKwI6WhBBxAL8EcDyANwH8Uwhxh5SysZmh\nNeJJB9OkYGHZHcvuGoHT7irTbH+Slyg1258URqIEACjsV1RPqjS+8ym8/NZHsfv2N2FL937IySRy\nuTg2dk3DuM5lWLX2kzh41x8N+ZnHXrwKAhK7TLwVu0y6DdlcK+594UpM2O4VvLVxP+yx06PIyRhu\nfuAydKQ24H2H/gDZXAK3P/oDnPqubyFWpczNjzfAIdXRjoF0fl+5x1eegCkTXkLvQDveeGcv7LHj\ns4iJLDZtm4ixo9YPu41N3RPxxrrJ2GXSqwCAncauwRvrdql5DR7pTBxLVh2M+5bPxcp/7YFkPI05\ney/DsQc/gj13fL04vrsc9W4wW44g0qSwYJqk6f2VgWkSaZJXhBDfBvCHwtcfA/BqLT9Ya7ndTxtc\nWDXmAFhVaKKCEOIGAKcACFWSPEwqu/P6qXQVJZbdlWDZEAeXy+6akZxmy+48Gi278whikEMYo8Eb\nKb8b0/48tvTsi0y2HbHYAMakXsDmnv2xcdt0HDj1UqxYPRqJ+OCJg8P3OwuplvXoT4/FYyt/gVFt\nr2Nrzx7YedxiiORkdPfnE7Plr5yMsZ2rMZDOJ7TxWAZTJjyNl9YcgT12fBR3PvY9nDL3QuRycdz6\nyI+QzeXlbI+dHsah+/x5iFQBWbS29CKdbUFP/yh09W6HqRNfQl9/B5asOhonzboePf2dSLUMP8HR\nn27FHx/9Gt47/Xdoa8m/p8ZiEvFYFn0DrUi1VO+rXdu7Ax5bMhePvHQkuno7MWnMepx+xB048oB/\norOt+gmPIPqKguxNysQSAHuTfHcQ8UjwdDzfH+T4SHBiLJ8G8H0AtxS+fgD51qGqBHvEUz+TAaz2\nff0mgENLrySEOBvA2QAwZcr2gdyxsUMcNF+zLmmSyml3xTQpIlEqpkmcdgcg+E1m2Z8UnSgB1VOl\nWCyLtpa1eGP9+zB21HKMbluFDVtnobtvCkalXoUQEg89fw0O3+8cbO7eBw+u+ANOnHE8WhJb0Jce\njw1dB2PDliPxrj2/gze2nolEbADbesfjtXdmY/ZeN2PZy6cU72v3HR7Doy98AgPpDuy+46OIiRxE\nLIdT3nUhWhJ9yObiuOXhH2OXSU9ih7Eri1I1bcdFiAkJAFjy0nzM3PN+rNsyGW9tnoqcjGHC6LfQ\n29+OTHbo7zObi+OGB76Eg3d9BAdOeQLAYMlkJpdAMl75wD6XE1ix+kA8uOJIPP/GAYAAZu7+HI6d\n9jAOmPpScT310GyalE4kAE3TJJFJmpsmFeAQB+IhZS7yMkxTkFJuQo3T7EpRHUmUC/uHvZNLKRdI\nKWdLKWePHx9c/Xg83opYItz65DAQKT3PqsQT+dISXfqTACg7AxX1B0kUH5RhT20K8sxuUGecPWzp\nT2pmH56wepSAvCj5e5Wq9SvlS+4+hvGjnsL4zmV4bd1pGNP+IoQAOlrfQDqTf75eefsMbNf+HNL/\nv707j5P1LOv8/7lq6eUs2UggZIFESdghZEIgbBJBiMqigAii4orOwIjOoMLkJbjxU3/8fuo4OI5R\nEEQEGRDIkEAgLAZkMQGzEgiR9RAwgSQnp885vVTVPX9UPdVPV9dez3Lf9/N9v179Srq7uuqp53RX\n1beu677u1n5uu/NCzNocs3oraxuncL/T2xw8fArLS2v8wz/9KY978Js4uHYyX7v90axv7qfjanzw\nc/+V2+86i1u++X2cefJnADCDpUa3wtPp1Ol0GiRPW99z8qe55Zvf1z9OM8cXD5zLg0+/huXmUf75\n8z/Io8/6CACry0fouBpbvaDkHLznU7/AScfexuMf8gGA/p5Xh9f3sm/lEPX67seze47s54rPXcTv\nvO33+csPvJQD3zmdp597Of/P83+DX/y+P+Xh979lroCU5bqiLGS9NilXm4381yYV/WakB29+yhjO\nuv9GRXwExsw+ZGbHpT4/3syumOZnp90n6Y+cc7856WtzOACcnvr8NOC2Ba9zZmq7y47a7lK3r01m\np7/eHNrushoLnkXbHWS3f1KsFSXYXqs0qbJ0wv5r+dK3fpbj991Ao75O3TY5Yf+1ANznuI/z1duf\ny2brWI5unMyRzVP4zC1/yvrWvbjfSe/llGNu5Qv1Nb7wjSfztdvP5av/fh7guHvtVP7t2xew1Fxj\nfWsf37rzwdzvpGv50m1P4O7DJ3PMnu2tATuuxjuu+mMOHr4vDz/jck4+/pbucR3zdW6/+6z+uqR6\nrcVZp1xHvdZhuXmUrdYyDzz1X/vX84D73sjXbz+b773vTXz9jrO57itP4D7HfZ3/ednvA/D0h/09\n7jv35l2ffD6H1/fx6re+lmee/x7Oe8DV3Pqts/nE55/IdV95FO1Og7NPvZkfveCdPPz+122HKU+e\n1nxdm5RbNalAqiaJTHSic+7u5BPn3F1mdu9pftCcm/wOk5l9zjl37sDXrnfOPWLmQ915HQ3gFuAp\nwDeBq4GfGDe7/JxzHuQ+8pE3LHKzu7TbG8GEpES77e/eSUlI8qHtDrqLPstam9Qf4lDQueiX23O8\nvf47pBkHJegups5ybVLyznMW+yclbXeLBKWj99yz8HUcPnhwofVJSXVikdHgyWazeQSltDt7gx1g\n+uEO65v34sM3/CNnn/IG9i5/k0NHz2R16XZuv+spPPnB/4XN1n4uu/5/s9lapdNJnwOHWfc2Tj/x\nOsw6POGhb+Cdn3gdK82D/ORT/tOu29rY2sv7r34VT3zYJdzrmK8D8KYP/Q0/ceF/4hhbm7hf0rfu\nvD+fvPkinvv4vxz6/Ru+9Gje89lfYqu1PeG0Vmuxf+UQB48cz57lwzzm7E/xhIdcxb2P272/e3Nr\na+aNZXddR6u1cCW02WplFpIanVamlWLX2MovJC21cq/A02wXGpJotksJSbDdGVJkUDrjEc/5rHPu\nvMJucE4PfcAZ7u3/78WF3NYjnvuSIM5Jwsw+C/yoc+7rvc/vD7x7MNcMM/aVo5n9RzO7AXigmV2f\n+vgK3Q1mF9KblPcy4ArgZuAd02zulDW13WVLbXfbom67y2kseB5td1mNBV9U8mJzkfa9vcceO3fb\nHfjfepc2rA1vUiveytJ3adbv4dt3PpmTj/8YjfphvvLtn+QB93k3J5x0Eiffd4WNrX0DAQnAaNTX\nOWbPv/O9p3wS52qsLB1iZekeOm7488Ny8zCn3OtGvn7H9nNtu92kXpvu3N73hK9x5n1uptMZPmbu\nQze8cEdAAuh0Gqyt7+NFT34zv/eTr+Q5j3vn0IAEo8eBl2HRtX15SapJIdNIcJGxLgY+YWZvMbO3\n0B3c8KppfnDSSk23bgAAIABJREFU25l/D7wf+AMgvYfRIefcnfMc6SDn3OXA5Vlc16LUdpcdtd2l\nbj/WtrsKjgVf2b8fDh1auO2u7Il3IbTepfVHhrOzFW+YtXab5cZBTj/hkxzTgH3No3TYy8POvqV/\nGeeGPw5stfbilg7xr//2I9z/pGt460f/J+ubx2DW4eavX8iD7/dRjm4cQ63WZrl5mFZ7iQPfeSTn\nPuBdAKxv7md1+SD1WhumzI/nPuAqADa2Vrj94Kncfvdp3H73qdx+8FTuPnLi0J9pdxo89oGfmu4G\nMpDFAAdfJ93larPBFvlPutNIcJHRnHMfMLNzgcfSnYXwa8653XsvDDH2Gdo5dxA4CLzQzB4JPLH3\nrY8DmYQkX4QwOW5QCMesaXcpGgs+3fV6vD4pkcX6pDIn3kF2QQmAgtrvYGdgGuqOO/jhR764f9kT\nTvo0j37op3dcZHX5Lo5uDG+Fu+fIfTHaXL/2DBzJUIU6H7vhpdRrbU445ut8+F9/FedqOIwHnPIJ\nzrjPNdxy4El8/KZfZH3zGN585V/zpLPfxGNPuGHX9W+2lrnj4Cm9IHRaNxQdPJWDh7cDUbO+wYnH\n3kazscFWa2XXdRy/r7in3ywDjs+0Nmk2Za5N0khwmYaZneGc+ypALxS9b+D7BpzqnDsw6jqmHdzw\nK3RHcCczxv/OzC5xzv2PeQ7cV9pkNltJNcmroEQ565M0Fnw2se+fBNtBaV6+BCUotqo0ycQQBTzh\nIW/kw9e+fEcbXaO+zuMf8gagxsdv+gU6nZ3ntNNZ4mM3/EcueNBbePQD38a+le+yd+U77Fk+yC0H\nnsRHr38ZrXY30KwdvTdXXP8rbPBejtt7Zy8M9apDayfhep3u9doWJx7zLe5/0i2cdNZHuPex3+Te\nxx3g+L13UKs5rvvKBVz66Z9jq70dlJqNDZ55/numPh9Jy92ia5MWlfU48I1Q9k1SNSkXqibJFF5n\nZjXgvcBngTuAFeABwIV05yG8hu4QuaGmfYb/BeAxzrnD0J1sB3wKiCokJdR2lx2f2u4SpbbdFdjL\n3Q9Ked5G0nZX0f2TQp94B3EGpUnOPq3b4vapL/w0a0dPZN/qd7jgQX/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MI7iQZBbcIY8U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\nttLpBybpv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