{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Centre Universitaire de Mila" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Master 1 (STIC & I2A), Matière: Apprentissage Automatique" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Travaux pratiques N°2 Apprentissage supervisé et classification" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Linear Classification\r\n", "\r\n", "In this work, we'll go through an example of linear classification.\r\n", "\r\n", "- Set up the binary linear classification problem using numpy.\r\n", "- Use the Iris flower dataset as a running example for classification.\r\n", "- Explore the geometry of the problem.\r\n" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import matplotlib\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## The Iris Flower Dataset\n", "\n", "The Iris flower dataset is another one of the \"toy datasets\" available in sklearn.\n", "\n", "We will only work with the first 2 flower classes\n", "(Setosa and Versicolour), and with just the first\n", "two features: length and width of the sepal \n", "\n", "If you don't know what the sepal is, see this\n", "diagram:\n", "https://www.math.umd.edu/~petersd/666/html/iris_with_labels.jpg\n", "\n", "We can import and display the dataset description like this:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ ".. _iris_dataset:\n", "\n", "Iris plants dataset\n", "--------------------\n", "\n", "**Data Set Characteristics:**\n", "\n", " :Number of Instances: 150 (50 in each of three classes)\n", " :Number of Attributes: 4 numeric, predictive attributes and the class\n", " :Attribute Information:\n", " - sepal length in cm\n", " - sepal width in cm\n", " - petal length in cm\n", " - petal width in cm\n", " - class:\n", " - Iris-Setosa\n", " - Iris-Versicolour\n", " - Iris-Virginica\n", " \n", " :Summary Statistics:\n", "\n", " ============== ==== ==== ======= ===== ====================\n", " Min Max Mean SD Class Correlation\n", " ============== ==== ==== ======= ===== ====================\n", " sepal length: 4.3 7.9 5.84 0.83 0.7826\n", " sepal width: 2.0 4.4 3.05 0.43 -0.4194\n", " petal length: 1.0 6.9 3.76 1.76 0.9490 (high!)\n", " petal width: 0.1 2.5 1.20 0.76 0.9565 (high!)\n", " ============== ==== ==== ======= ===== ====================\n", "\n", " :Missing Attribute Values: None\n", " :Class Distribution: 33.3% for each of 3 classes.\n", " :Creator: R.A. Fisher\n", " :Donor: Michael Marshall (MARSHALL%PLU@io.arc.nasa.gov)\n", " :Date: July, 1988\n", "\n", "The famous Iris database, first used by Sir R.A. Fisher. The dataset is taken\n", "from Fisher's paper. Note that it's the same as in R, but not as in the UCI\n", "Machine Learning Repository, which has two wrong data points.\n", "\n", "This is perhaps the best known database to be found in the\n", "pattern recognition literature. Fisher's paper is a classic in the field and\n", "is referenced frequently to this day. (See Duda & Hart, for example.) The\n", "data set contains 3 classes of 50 instances each, where each class refers to a\n", "type of iris plant. One class is linearly separable from the other 2; the\n", "latter are NOT linearly separable from each other.\n", "\n", ".. topic:: References\n", "\n", " - Fisher, R.A. \"The use of multiple measurements in taxonomic problems\"\n", " Annual Eugenics, 7, Part II, 179-188 (1936); also in \"Contributions to\n", " Mathematical Statistics\" (John Wiley, NY, 1950).\n", " - Duda, R.O., & Hart, P.E. (1973) Pattern Classification and Scene Analysis.\n", " (Q327.D83) John Wiley & Sons. ISBN 0-471-22361-1. See page 218.\n", " - Dasarathy, B.V. (1980) \"Nosing Around the Neighborhood: A New System\n", " Structure and Classification Rule for Recognition in Partially Exposed\n", " Environments\". IEEE Transactions on Pattern Analysis and Machine\n", " Intelligence, Vol. PAMI-2, No. 1, 67-71.\n", " - Gates, G.W. (1972) \"The Reduced Nearest Neighbor Rule\". IEEE Transactions\n", " on Information Theory, May 1972, 431-433.\n", " - See also: 1988 MLC Proceedings, 54-64. Cheeseman et al\"s AUTOCLASS II\n", " conceptual clustering system finds 3 classes in the data.\n", " - Many, many more ...\n" ] } ], "source": [ "from sklearn.datasets import load_iris\n", "iris = load_iris()\n", "print(iris['DESCR'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To get some idea of what the data looks like, let's look at scatter plots across\n", "each pair of features." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# code from\n", "# http://stackoverflow.com/questions/21131707/multiple-data-in-scatter-matrix\n", "from pandas.plotting import scatter_matrix\n", "import pandas as pd\n", "\n", "iris_data = pd.DataFrame(data=iris['data'],columns=iris['feature_names'])\n", "iris_data[\"target\"] = iris['target']\n", "color_wheel = {1: \"#0392cf\", \n", " 2: \"#7bc043\", \n", " 3: \"#ee4035\"}\n", "colors = iris_data[\"target\"].map(lambda x: color_wheel.get(x + 1))\n", "ax = scatter_matrix(iris_data, color=colors, alpha=0.6, figsize=(15, 15), diagonal='hist')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We'll only select the first two flower classes for binary classification (~100 rows),\n", "and only use the first 2 features:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "# Select first 2 flower classes (~100 rows)\n", "# And first 2 features\n", "\n", "sepal_len = iris['data'][:100,0]\n", "sepal_wid = iris['data'][:100,1]\n", "labels = iris['target'][:100]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Our binary classification model will look like this:\n", "\n", "\\begin{align*}\n", "f(x) &= w_0 + w_1 x_1 + w_2 x_2 \\\\\n", "\\end{align*}\n", "\n", "If $f(x) >= 0$ then we will classify the flower as a Setosa." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's look at these two features. Note that in our case, the data set is *linearly separable*,\n", "meaning that it is possible to draw a line that separates the two classes." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "X = np.stack([sepal_len, sepal_wid], axis=1)\n", "Y = labels" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'sepal width')" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.scatter(....,\n", " ....,\n", " c=....,\n", " cmap=plt.cm.Paired,\n", " edgecolors='k',\n", " marker='o',\n", " s=50,\n", " label=\"Data Points\")\n", "plt.xlabel(\"sepal length\")\n", "plt.ylabel(\"sepal width\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Decision Boundaries\n", "\n", "The *decision boundary*$f(x) >= 0$ can be expressed as $w_0 + w_1 x_1 + w_2 x_2 = 0$.\n", "The decision boundary is therefore a line through the origin in the data space!\n", "\n", "The following function will help you plot a decision boundary $w_0 + w_1 x_1 + w_2 x_2 = 0$." ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "from matplotlib.colors import ListedColormap\n", "\n", "# Function to plot the resulting line along with the data\n", "def plot_decision_boundary(X, Y, weight_vector, title=\"Linear Classification\"):\n", " \n", " plt.scatter(...., ...., ...., cmap=plt.cm.Paired, edgecolors='k', marker='o', s=50)\n", " \n", " # Plot the decision boundary (assuming 2D features)\n", " x_min, x_max = X[:, 0].min() - 1, X[:, 0].max() + 1\n", " y_min, y_max = X[:, 1].min() - 1, X[:, 1].max() + 1\n", " xx, yy = np.meshgrid(np.arange(x_min, x_max, 0.01), np.arange(y_min, y_max, 0.01))\n", " \n", " # Add a column of ones for the bias term\n", " Z = ....\n", " \n", " # Predict the labels for each point on the decision boundary\n", " Z_pred = ....\n", " \n", " # Reshape the predictions to match the shape of the meshgrid\n", " Z_pred = ....\n", " \n", " plt.contour(...., ...., ...., colors='g', linewidths=3, levels=[0.5], alpha=0.5)\n", "\n", " plt.xlabel('x1')\n", " plt.ylabel('x2')\n", " plt.title(title)\n", " plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's look at a few example hypothesis to see how the choices of $w_0$, $w_1$ and $w_2$ influence the \n", "decision boundary:" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "....(X, Y, [0, 0, 1])" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "....(X, Y, [0.5, 0.4, -1])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Implemenation from scratch\n", "\n", "We will implement the linear classification using the formula studied in our course:\n", "\\begin{align*}\n", " W = (X^{\\prime}X)^{-1}X^{\\prime}Y \\\\\n", "\\end{align*}" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "\n", "def linear_classification(...., ....):\n", " # Adding a column of ones to the feature matrix X for the bias term\n", " X = ....\n", "\n", " # Calculating the weight vector using the matrix formulation\n", " W_tilde = ....\n", "\n", " return ...." ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[-0.28531228 0.47927218 -0.59270275]\n" ] } ], "source": [ "# Train the linear classifier on the first two features of the training data\n", "weight_vector = linear_classification(...., ....)\n", "print(weight_vector)" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot the decision boundary along with the data\n", "plot_decision_boundary(...., ...., ...., title=\"Linear Classification Decision Boundary\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Using `sklearn`\n", "\n", "Now, we will write a sklearn code to solve a linear classification problem." ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
LinearRegression(fit_intercept=False)
In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook.
On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.
" ], "text/plain": [ "LinearRegression(fit_intercept=False)" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from sklearn import linear_model\n", "LinearModel = ....\n", "\n", "# Adding a column of ones to the feature matrix X for the bias term\n", "X_new = ....\n", "\n", "LinearModel.fit(...., ....)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here are the coefficients that we get from sklearn:" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[-0.28531228 0.47927218 -0.59270275]\n" ] } ], "source": [ "weight_vector_sklearn = ....\n", "print(weight_vector_sklearn)" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAjcAAAHFCAYAAAAOmtghAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjguMCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy81sbWrAAAACXBIWXMAAA9hAAAPYQGoP6dpAAC/VklEQVR4nOzdd1hURxcH4N/uArtL7713RRG7YEXEgoKJvSQ2NBowiTGxJtFoNCaWqEkssccYNTFW7A2sqNiwA9J773XLfH/wSYK7S8DQPe/z8CTuzM4997LlcO/MuRzGGAMhhBBCSCvBbeoACCGEEELqEyU3hBBCCGlVKLkhhBBCSKtCyQ0hhBBCWhVKbgghhBDSqlByQwghhJBWhZIbQgghhLQqlNwQQgghpFWh5IYQQgghrQolN6Re7NmzBxwOB3fv3lXYJy4uDhwOB3v27Gm8wBpATEwMZs+eDUdHRwiFQqiqqsLFxQVffvklkpOTq/pNmTIF1tbWTRanouP9xx9/wMXFBUKhEBwOBw8fPsTXX38NDofTYLHcvHkTX3/9NfLy8mTa+vXrh379+jXYthV5dXxe/SgrK0NPTw9du3bFp59+iqdPnzZ4DNbW1pgyZUqdnvPqvRYXF9cgMdWkX79+MsfM2toa/v7+iI+Pb/R46qopjx1pXEpNHQB5e5iYmCA0NBR2dnZNHcobO3nyJMaNGwd9fX3Mnj0bHTt2BIfDwePHj7Fr1y6cOnUKDx48aOowAcg/3pmZmXj//fcxePBgbN68GXw+H46Ojpg+fToGDx7cYLHcvHkTy5Ytw5QpU6CtrV2tbfPmzQ223dr46KOPMGHCBEilUuTl5eHBgwfYtWsXfvrpJ6xatQrz5s1rsG0fPXoUmpqadXrO0KFDERoaChMTkwaKqma2trb4/fffAQAVFRV48uQJli1bhgsXLuDFixdQVVVtkrgI+SdKbkij4fP56NGjR1OHUaOSkhKFH86xsbEYN24cHB0dERwcDC0traq2/v374+OPP8bRo0cbK9R/Je94R0ZGQiQS4b333kPfvn2rHldVVYW5uXljhwgAaNu2bZNs9xVLS8tqx8nHxwdz587FiBEjMH/+fLRr1w5DhgxpkG137Nixzs8xMDCAgYFBA0RTO0KhsNrx6tOnDwQCAfz9/XH9+nUMHDiwyWJrbDV9XpCmRZelSKORd5nk1eWQp0+fYvz48dDS0oKRkRGmTZuG/Pz8as9njGHz5s1wc3ODUCiEjo4ORo0ahZiYmGr9Lly4gOHDh8Pc3BwCgQD29vaYOXMmsrKyqvV7te379+9j1KhR0NHRqfGs0g8//IDi4mJs3ry5WmLzCofDwYgRI2o8Bps2bUKfPn1gaGgINTU1tG/fHqtXr4ZIJKrW78GDBxg2bBgMDQ3B5/NhamqKoUOHIikpqarPoUOH0L17d2hpaUFVVRW2traYNm1aVfvrx3vKlCno1asXAGDs2LHgcDhVl4MUXZbav38/3N3doa6uDnV1dbi5uWHnzp1V7bU51l9//XXV2Q8bG5uqSxohISEA5F+WysnJQUBAAMzMzKCiogJbW1t88cUXKC8vlznms2fPxm+//YY2bdpAVVUVHTp0wMmTJ2v8PfwboVCInTt3QllZGWvWrKnWlpaWhpkzZ8Lc3BwqKiqwsbHBsmXLIBaLq/UrLy/H8uXL0aZNGwgEAujp6cHT0xM3b96s6vP6ZSmpVIoVK1bAyckJQqEQ2tracHV1xcaNG6v6KLq0smvXLnTo0AECgQC6urp499138fz582p9pkyZAnV1dbx8+RI+Pj5QV1eHhYUFPvvsM5ljWxev3g/KysrVHr9+/Tq8vLygoaEBVVVVeHh44NSpU9X6KHrtydtPa2trDBs2DGfPnkWnTp0gFArh7OyMXbt2yTz/1q1b6NmzJwQCAUxNTbFo0SKZ9xlQeZl24MCBMDExgVAoRJs2bbBw4UIUFxdX6/fq2D1+/BgDBw6EhoYGvLy88M0330BJSQmJiYkyY0+bNg16enooKytTfPBIg6AzN6RZGDlyJMaOHQt/f388fvwYixYtAoBqH1ozZ87Enj178PHHH+P7779HTk4Oli9fDg8PD4SHh8PIyAgAEB0dDXd3d0yfPh1aWlqIi4vDDz/8gF69euHx48cyH8AjRozAuHHjMGvWLJkPtH86f/48jIyM/tPZp+joaEyYMAE2NjZQUVFBeHg4Vq5ciRcvXlTta3FxMby9vWFjY4NNmzbByMgIaWlpCA4ORmFhIQAgNDQUY8eOxdixY/H1119DIBAgPj4ely9fVrjtr776Ct26dUNgYCC+/fZbeHp61nhJZMmSJfjmm28wYsQIfPbZZ9DS0sKTJ0+qza2ozbGePn06cnJy8NNPP+HIkSNVl1MUnbEpKyuDp6cnoqOjsWzZMri6uuLatWtYtWoVHj58KPPleOrUKYSFhWH58uVQV1fH6tWr8e677yIiIgK2tra1+8XIYWpqis6dO+PmzZsQi8VQUlJCWloaunXrBi6XiyVLlsDOzg6hoaFYsWIF4uLisHv3bgCAWCzGkCFDcO3aNcyZMwf9+/eHWCzGrVu3kJCQAA8PD7nbXL16Nb7++mt8+eWX6NOnD0QiEV68eCF3rtI/rVq1CosXL8b48eOxatUqZGdn4+uvv4a7uzvCwsLg4OBQ1VckEsHPzw/+/v747LPPcPXqVXzzzTfQ0tLCkiVLanVsXiVyry5LLV++HLa2ttX268qVK/D29oarqyt27twJPp+PzZs3w9fXFwcOHMDYsWNrta3XhYeH47PPPsPChQthZGSEHTt2wN/fH/b29ujTpw8A4NmzZ/Dy8oK1tTX27NkDVVVVbN68Gfv375cZLyoqCj4+PpgzZw7U1NTw4sULfP/997hz547M+6miogJ+fn6YOXMmFi5cCLFYDDc3N6xcuRK//PILVqxYUdU3JycHBw8exOzZsyEQCN5oX8l/wAipB7t372YAWFhYmMI+sbGxDADbvXt31WNLly5lANjq1aur9Q0ICGACgYBJpVLGGGOhoaEMAFu3bl21fomJiUwoFLL58+fL3aZUKmUikYjFx8czAOz48eMy216yZEmt9lEgELAePXrUqi9jjE2ePJlZWVkpbJdIJEwkErG9e/cyHo/HcnJyGGOM3b17lwFgx44dU/jctWvXMgAsLy9PYR95xzs4OJgBYIcOHarW99WxeCUmJobxeDw2ceLEf9nLv9V0rNesWcMAsNjYWJnn9e3bl/Xt27fq31u3bmUA2J9//lmt3/fff88AsPPnz1c9BoAZGRmxgoKCqsfS0tIYl8tlq1atqjHeV8dnzZo1CvuMHTuWAWDp6emMMcZmzpzJ1NXVWXx8fLV+r34fT58+ZYwxtnfvXgaAbd++vcYYrKys2OTJk6v+PWzYMObm5lbjc169114dy9zcXCYUCpmPj0+1fgkJCYzP57MJEyZUPTZ58mS5x9bHx4c5OTnVuF3GKn9XAGR+HB0d2fPnz6v17dGjBzM0NGSFhYVVj4nFYtauXTtmbm5e9d5+/bWnaD8ZqzxeAoGg2vEvLS1lurq6bObMmVWPjR07lgmFQpaWllZt287Ozgpfh4z9/Rq+cuUKA8DCw8Or2l4du127dsk8b/LkyczQ0JCVl5dXPfb9998zLpercFukYdFlKdIs+Pn5Vfu3q6srysrKkJGRAaByIi+Hw8F7770HsVhc9WNsbIwOHTpUXeIAgIyMDMyaNQsWFhZQUlKCsrIyrKysAEDmND1QedaosTx48AB+fn7Q09MDj8eDsrIyJk2aBIlEgsjISACAvb09dHR0sGDBAmzduhXPnj2TGadr164AgDFjxuDPP/+stkqrPly4cAESiQSBgYE19qvrsa6Ny5cvQ01NDaNGjar2+KvLN5cuXar2uKenJzQ0NKr+bWRkBENDw3pZvcMYq/bvkydPwtPTE6amptVeh6/m5Fy5cgUAcObMGQgEgmqXCWujW7duCA8PR0BAAM6dO4eCgoJ/fU5oaChKS0tlVl1ZWFigf//+MseLw+HA19e32mOurq61Pl52dnYICwtDWFgYQkNDsX//fgiFQnh5eSEqKgpA5dnH27dvY9SoUVBXV696Lo/Hw/vvv4+kpCRERETUanuvc3Nzg6WlZdW/BQIBHB0dq8UfHBwMLy+vqrO5r7Yt72xRTEwMJkyYAGNj46r35Kv5aLX9vPjkk0+QkZGBQ4cOAai8vLhlyxYMHTq0SVdMvs0ouSHNgp6eXrV/8/l8AEBpaSkAID09HYwxGBkZQVlZudrPrVu3quZ4SKVSDBw4EEeOHMH8+fNx6dIl3LlzB7du3ao23j/VdtWJpaUlYmNj33gfExIS0Lt3byQnJ2Pjxo24du0awsLCsGnTpmqxaWlp4cqVK3Bzc8PixYvh4uICU1NTLF26tGrOQJ8+fXDs2DGIxWJMmjQJ5ubmaNeuHQ4cOPDG8f1TZmYmANQ4yfhNjnVtZGdnw9jYWGYehqGhIZSUlJCdnV3t8ddfO0Dl6+dNt/9P8fHx4PP50NXVBVD5OgwKCpJ5Dbq4uABA1eswMzMTpqam4HLr9hG7aNEirF27Frdu3cKQIUOgp6cHLy+vGkssvDoe8l7HpqamMsdLVVVV5jIJn8+v9bwQgUCALl26oEuXLujRowfGjx+PM2fOIDU1teqyVm5uLhhjCmP6Z9x1VZvf96vX0Otef6yoqAi9e/fG7du3sWLFCoSEhCAsLAxHjhwBIPsaVlVVlXspt2PHjujdu3fVe/nkyZOIi4vD7Nmz676DpF7QnBvSIujr64PD4eDatWtVic8/vXrsyZMnCA8Px549ezB58uSq9pcvXyocu7b1XQYNGoSffvoJt27deqN5N8eOHUNxcTGOHDlSdXYDAB4+fCjTt3379jh48CAYY3j06BH27NmD5cuXQygUYuHChQCA4cOHY/jw4SgvL8etW7ewatUqTJgwAdbW1nB3d69zfP/0ajVOUlISLCws5PZ5k2NdG3p6erh9+zYYY9V+NxkZGRCLxdDX1/9P49dWcnIy7t27h759+0JJqfKjUl9fH66urli5cqXc57z64jYwMMD169chlUrrlOAoKSlh7ty5mDt3LvLy8nDx4kUsXrwYgwYNQmJiotyVOa++7FNTU2XaUlJSGuV4mZiYQF9fH+Hh4QAAHR0dcLlchTEBqIrrVaJVXl5e7b39+gKAutDT00NaWprM468/dvnyZaSkpCAkJKTa6kFFc5xq+qz4+OOPMXr0aNy/fx8///wzHB0d4e3t/WY7QP4zOnNDWoRhw4aBMYbk5OSqvxr/+dO+fXsAf3/4vJ4A/fLLL/85hk8//RRqamoICAiQWckFVF7CqGkpuLzYGGPYvn17jc/p0KED1q9fD21tbdy/f1+mD5/PR9++ffH9998DQL3U2Rk4cCB4PB62bNlSY2yvtv9P8o7162fiauLl5YWioiIcO3as2uN79+6tam9opaWlmD59OsRiMebPn1/1+LBhw/DkyRPY2dnJfR2+Sm6GDBmCsrKy/1SwUltbG6NGjUJgYCBycnIUFp5zd3eHUCjEvn37qj2elJSEy5cvN8rxSkpKQlZWFgwNDQEAampq6N69O44cOVLtdy6VSrFv3z6Ym5vD0dERAKou2zx69KjamEFBQW8cj6enJy5duoT09PSqxyQSCf74449q/erz8+Ldd9+FpaUlPvvsM1y8eBEBAQENWhiT1IzO3JB6dfnyZbkfwj4+Pv9p3J49e+KDDz7A1KlTcffuXfTp0wdqampITU3F9evX0b59e3z44YdwdnaGnZ0dFi5cCMYYdHV1ERQUhAsXLvyn7QOVy5gPHjyIsWPHws3NraqIH1C5OmPXrl1gjOHdd9+V+3xvb2+oqKhg/PjxmD9/PsrKyrBlyxbk5uZW63fy5Els3rwZ77zzDmxtbcEYw5EjR5CXl1f1l+CSJUuQlJQELy8vmJubIy8vDxs3bqw2X+C/sLa2xuLFi/HNN9+gtLS0apn+s2fPkJWVhWXLltXpWL9KPjdu3IjJkydDWVkZTk5O1ebKvDJp0iRs2rQJkydPRlxcHNq3b4/r16/j22+/hY+PDwYMGPCf9++fEhIScOvWLUilUuTn51cV8YuPj8e6deuq1W1Zvnw5Lly4AA8PD3z88cdwcnJCWVkZ4uLicPr0aWzduhXm5uYYP348du/ejVmzZiEiIgKenp6QSqW4ffs22rRpg3HjxsmNxdfXF+3atUOXLl1gYGCA+Ph4bNiwAVZWVtVWPP2TtrY2vvrqKyxevBiTJk3C+PHjkZ2djWXLlkEgEGDp0qX1erxKS0urLj1KJBLExsZi9erVAIA5c+ZU9Vu1ahW8vb3h6emJzz//HCoqKti8eTOePHmCAwcOVH3x+/j4QFdXF/7+/li+fDmUlJSwZ88euUura+vLL7/EiRMn0L9/fyxZsgSqqqrYtGmTzGpIDw8P6OjoYNasWVi6dCmUlZXx+++/V52Bqgsej4fAwEAsWLAAampqda48TepZ08xjJq3Nq5UNin5iY2NrXC2VmZkpd7zXVxrs2rWLde/enampqTGhUMjs7OzYpEmT2N27d6v6PHv2jHl7ezMNDQ2mo6PDRo8ezRISEhgAtnTp0n/d9r+Jjo5mAQEBzN7envH5fCYUClnbtm3Z3Llzq8Urb7VUUFAQ69ChAxMIBMzMzIzNmzePnTlzhgFgwcHBjDHGXrx4wcaPH8/s7OyYUChkWlparFu3bmzPnj1V45w8eZINGTKEmZmZMRUVFWZoaMh8fHzYtWvXqvr8l9VSr+zdu5d17dqVCQQCpq6uzjp27FhtvNoea8YYW7RoETM1NWVcLrfa/r6+WooxxrKzs9msWbOYiYkJU1JSYlZWVmzRokWsrKysWj8ALDAwUCbu11chyfPq+Lz64fF4TEdHh3Xu3JnNmTOnauXT6zIzM9nHH3/MbGxsmLKyMtPV1WWdO3dmX3zxBSsqKqrqV1paypYsWcIcHByYiooK09PTY/3792c3b95UGOe6deuYh4cH09fXZyoqKszS0pL5+/uzuLi4qj6K3hs7duxgrq6uTEVFhWlpabHhw4fL7MPkyZOZmpqazD4p+v2/7vXVUlwul5mamrIhQ4awkJAQmf7Xrl1j/fv3r3q/9ujRgwUFBcn0u3PnDvPw8GBqamrMzMyMLV26lO3YsUPuaqmhQ4fKjev119CNGzdYjx49GJ/PZ8bGxmzevHls27ZtMmPevHmTubu7M1VVVWZgYMCmT5/O7t+/L/PeUXTs/ikuLo4BYLNmzaqxH2l4HMZeWw5ACCGEkDr76aef8PHHH+PJkydVk8xJ06DkhhBCCPkPHjx4gNjYWMycORM9e/aUmS9GGh8lN4QQQsh/YG1tjbS0NPTu3Ru//fab3GXopHFRckMIIYSQVoWWghNCCCGkVaHkhhBCCCGtCiU3hBBCCGlV3roiflKpFCkpKdDQ0KDqkYQQQkgLwRhDYWFhre7b9tYlNykpKQrvlUMIIYSQ5i0xMbHGm/oCb2Fy86rce2Jioty7uxJCCCGk+SkoKICFhYXc27a87q1Lbl5ditLU1KTkhhBCCGlhajOlhCYUE0IIIaRVoeSGEEIIIa0KJTeEEEIIaVUouSGEEEJIq0LJDSGEEEJaFUpuCCGEENKqUHJDCCGEkFaFkhtCCCGEtCqU3BBCCCGkVaHkhhBCCCGtCiU3hBBCCGlVKLkhhBBCSKtCyQ0hhBBCWhVKbgghhBDSqlByQwghhJBWhZIbQgghhLQqlNwQQgghpFljjKFMXFbr/koNGAshhBBCyH+SU5qDoIgglBSV1Po5lNwQQgghpNmRMiluJd1CcGwwRFIRyovLa/1cSm4IIYQQ0qykFaXhRMQJpBSmvNHzKbkhhBBCSLMgkohwNf4qbiTegJRJ33gcSm4IIYQQ0uTi8+JxIuIEskuzZdo44KCzaedaj0XJDSGEEEKaTJm4DBdjLuJuyl257QaqBvBz8oMWR6vWY1JyQwghhJAmEZEVgVNRp1BQXiDTxuPw0MuyF3pb9YYSVwkFBbJ9FKHkhhBCCCGNqqiiCGeizuBp5lO57eaa5vBz8oOhmuEbjU/JDSGEEEIaBWMM4enhOPfyHErFpTLtylxleNl6oZtZN3A5b15nuEkrFH/99dfgcDjVfoyNjWt8zpUrV9C5c2cIBALY2tpi69atjRQtIYQQQt5Ubmku9j3ah2MvjslNbOx07BDYLRA9zHv8p8QGaAZnblxcXHDx4sWqf/N4PIV9Y2Nj4ePjgxkzZmDfvn24ceMGAgICYGBggJEjRzZGuIQQQgipAymT4nbSbVyOvQyRVCTTLlQSYrD9YLgauYLD4dTLNps8uVFSUvrXszWvbN26FZaWltiwYQMAoE2bNrh79y7Wrl1LyQ0hhBDSzKQXpeNExAkkFybLbW9n2A5D7IdATUWtXrfb5MlNVFQUTE1Nwefz0b17d3z77bewtbWV2zc0NBQDBw6s9tigQYOwc+dOiEQiKCsryzynvLwc5eV/l2yuy2xrQgghhNSdWCrG1firuJ5wXW4xPk2+JoY5DoOjnmODbL9Jk5vu3btj7969cHR0RHp6OlasWAEPDw88ffoUenp6Mv3T0tJgZGRU7TEjIyOIxWJkZWXBxMRE5jmrVq3CsmXLGmwfCCGEEPK3hPwEnIg4gaySLLntXU27YoDtAPCV+A0WQ5MmN0OGDKn6//bt28Pd3R12dnb49ddfMXfuXLnPef16HGNM7uOvLFq0qNpYBQUFsLCw+K+hE0IIIeQfysXluBhzEWEpYXLb9VX14efkB0stywaPpckvS/2Tmpoa2rdvj6ioKLntxsbGSEtLq/ZYRkYGlJSU5J7pAQA+nw8+v+GyQ0IIIeRtF5kdiZORJ+UW4+NyuOhl2Qt9rPpAids4aUezSm7Ky8vx/Plz9O7dW267u7s7goKCqj12/vx5dOnSRe58G0IIIYQ0nOKKYpx9eRaPMx7LbTfVMIWfkx+M1Wu3cKi+NGly8/nnn8PX1xeWlpbIyMjAihUrUFBQgMmTJwOovKSUnJyMvXv3AgBmzZqFn3/+GXPnzsWMGTMQGhqKnTt34sCBA025G4QQQshbhTGGR+mPcC76HEpEJTLtylxleNp41kvNmjfRpMlNUlISxo8fj6ysLBgYGKBHjx64desWrKysAACpqalISEio6m9jY4PTp0/j008/xaZNm2Bqaooff/yRloETQgghjSSvLA8nI0/iZc5Lue22OrbwdfSFjlCnkSP7G4e9mpH7ligoKICWlhby8/OhqanZ1OEQQgghLYKUSRGWHIZLsZdQIamQaRcqCTHQbiDcjN3qrRjfP9Xl+7tZzbkhhBBCSPOTUZyBExEnkFSQJLe9rUFb+Dj4QF1FvZEjk4+SG0IIIYTIJZaKcT3hOq7FX4OESWTaNVQ0MNRxKJz1nZsgOsUouSGEEEKIjKSCJBx/cRyZJZly2zubdIa3nTcESoJGjuzfUXJDCCGEkCoVkgpcirmEO8l3wCA7LVdPqAdfJ19Ya1s3fnC1RMkNIYQQQgAAL3NeIigiCPnl+TJtXA4XHhYe6GvVF8q85l1bjpIbQggh5C1XIirB2Zdn8Sj9kdx2E3UTDHce3ujF+N4UJTeEEELIW4oxhicZT3Dm5Rm5xfiUuErwtPaEu4V7kxTje1OU3BBCCCFvofyyfJyMPImoHPn3c7TWtoafkx90hbqNHNl/R8kNIYQQ8hZhjCEsJQwXYy7KLcYnUBJgoN1AdDTu2CDF+BoDJTeEEELIWyKzOBNBkUFIyE+Q295Gvw18HHygwddo5MjqFyU3hBBCSCsnkUpwPeE6rsZflVuMT11FHUMdhqKNQZsmiK7+UXJDCCGEtGLJBck4EXEC6cXpcts7mXSCt603hMrCRo6s4VByQwghhLRCFZIKBMcG41bSLbnF+HQEOvBz8oONjk0TRNewKLkhhBBCWpnonGicjDyJ3LJcmTYOOPCw8EA/637Nvhjfm6LkhhBCCGklSkWlOBd9Dg/THsptN1Y3hp+TH0w1TBs3sEZGyQ0hhBDSwjHG8CzzGU5HnUaxqFimXYmrhL5WfeFh4QEel9cEETYuSm4IIYSQFqygvACnIk8hIjtCbruVlhV8nXyhr6rfyJE1HUpuCCGEkBaIMYZ7qfdwIfoCyiXlMu18Hh/edt7obNK5xRbje1OU3BBCCCEtTFZJFoIighCfHy+33UnPCUMdh0KTr9nIkTUPlNwQQgghLYREKsHNxJu4En8FYqlYpl1NWQ0+Dj5oa9D2rTtb80+U3BBCCCEtQEphCk5EnEBaUZrcdjdjNwyyG9SqivG9KUpuCCGEkGZMJBEhOC4YoYmhcovxaQu04evoCztduyaIrnmi5IYQQghppmJyYxAUEaSwGF8P8x7wtPGECk+lCaJrvii5IYQQQpqZUlEpzkefx4O0B3LbjdSM4OfkBzNNs0aOrGWg5IYQQghpJhhjeJ71HKejTqOookimncfhoa91X/S06PlWFON7U5TcEEIIIc1AYXkhTkedxvOs53LbLbUs4efk91YV43tTlNwQQgghTYgxhvup93Eh5gLKxGUy7So8FQywHYCupl3f6uXddUHJDSGEENJEskuyERQZhLi8OLntjnqOGOowFFoCrcYNrIWj5IYQQghpZFImRWhiKILjghUW4xtsPxjtDNvR2Zo3QMkNIYQQ0ohSC1NxIuIEUotS5bZ3MOqAQfaDoKqs2siRtR6U3BBCCCGNQCQR4Ur8FdxMvAkpk8q0a/G14OvkC3td+yaIrnXhNnUAr6xatQocDgdz5sxR2CckJAQcDkfm58WLF40XKCGEEFJHcXlx2HJ3C64nXJdJbDjgoLtZdwR2C6TEpp40izM3YWFh2LZtG1xdXWvVPyIiApqaf9/p1MDAoKFCI4QQQt5YmbgMF6Iv4F7qPbnthmqG8HPyg7mmeSNH1ro1eXJTVFSEiRMnYvv27VixYkWtnmNoaAhtbe2GDYwQQgj5D15kvcCpyFMorCiUaeNxeOht1Ru9LXtTMb4G0OSXpQIDAzF06FAMGDCg1s/p2LEjTExM4OXlheDg4Br7lpeXo6CgoNoPIYQQ0lCKKorw59M/cfDJQbmJjYWmBWZ2mYl+1v0osWkgTXrm5uDBg7h//z7CwsJq1d/ExATbtm1D586dUV5ejt9++w1eXl4ICQlBnz595D5n1apVWLZsWX2GTQghhMhgjOFh2kOciz6nsBifl40Xupp1BZfT5OcWWjUOY0z2/umNIDExEV26dMH58+fRoUMHAEC/fv3g5uaGDRs21HocX19fcDgcnDhxQm57eXk5ysvLq/5dUFAACwsL5OfnV5u3QwghhLyp3NJcBEUGISY3Rm67va49hjkOg7ZAu3EDa0UKCgqgpaVVq+/vJjtzc+/ePWRkZKBz585Vj0kkEly9ehU///wzysvLweP9++m6Hj16YN++fQrb+Xw++Hx+vcRMCGl5GGPIzMxEWVkZjIyM6POA1Cspk+JW0i0ExwZDJBXJtKsqq2Kw/WC0N2xPxfgaUZMlN15eXnj8+HG1x6ZOnQpnZ2csWLCgVokNADx48AAmJiYNESIhpAUTi8XYtWsXfv55Ex4/fgQAUFNXx6T338fnn38OW1vbJo6QtHTpRek4HnEcKYUpctvbG7bHYPvBUFNRa+TISJMlNxoaGmjXrl21x9TU1KCnp1f1+KJFi5CcnIy9e/cCADZs2ABra2u4uLigoqIC+/btw+HDh3H48OFGj58Q0nyJRCKMHDkKp06dRKc+A/Dxd7MgVFNH5KN7OHjoAPYfOIBzZ8+ie/fuTR0qaYHEUjGuxF3BjcQbCovxDXUcCkc9xyaIjgDNYCl4TVJTU5GQkFD174qKCnz++edITk6GUCiEi4sLTp06BR8fnyaMkhDS3Hz99dc4c/YMPtuwGx179a96vENPTwx97wOs+XgyfP38EBMdDXV19SaMlLQ08XnxCIoMQlZJlkwbBxx0NesKLxsv8JXo8mdTarIJxU2lLhOSCCEtT0lJCUzNzNDbbxwmzPlCbp+s1GTM8fXA5s2bMXPmzEaOkLRE5eJyXIy5iLAU+at79VX14efkB0sty0aO7O3RIiYUE0JIQ7h48SLy8/LgOWKCwj76JmZwde+Lgwf/oOSG/KuIrAicijqFgnLZOmlcDhe9LXujt1VvKHHpK7W5oN8EIaRVyc3NBQAYmJjV2E/f1BzpEeGNERJpoYorinE66jSeZj6V226mYQY/Jz8YqRs1cmTk31ByQwhpVfT19QEAaYlxMLdVPKEzPSEOhnRfOiIHYwzh6eE49/IcSsWlMu3KXGX0t+mP7ubdqRhfM0XJDSGkVRkwYAD09PVx6a99mDx/udw+aQmxeHz7Gnbv3t3I0ZHmLrc0FycjTyI6N1puu52OHYY5DoOOUKeRIyN1QckNIaRV4fP5mPPJJ1i6dCmc3Lqix0Dfau0Fudn4aWEAzMzMMXbs2CaKkjQ3UibFneQ7uBRzSW4xPqGSEIPsB6GDUQcqxtcCUHJDCGl1Fi1ahBcREfhxYQAu/fUb3Ae/A1V1DUSE38W1oENQV1XFhQvnIRQKmzpU0gxkFGfg+IvjSC5MltvuYuCCIQ5DoK5CZQNaCloKTghplaRSKQ4dOoSffvoZN25cBwDoGxhgur8/PvroI5iamjZxhKSpiaViXIu/hmsJ1+QW49Pka2Kow1A46Ts1QXTkdXX5/qbkhhDS6pWVlaGiogLq6urgcmkCKAES8hMQFBGEzJJMue1dTLtggO0ACJQEjRwZUYTq3BBCyD8IBAIIBPQlRSqL8V2KvYSw5DAwyP5tryfUg5+TH6y0rZogOlJfKLkhhBDyVojKjsLJyJPIL8+XaeNyuOhp0RN9rftSMb5WgH6DhBBCWrXiimKcfXkWjzMey2031TCFn5MfjNWNGzky0lAouSGEENIqMcbwOOMxzr48ixJRiUy7MlcZnjae6GHeg4rxtTKU3BBCmo3s7Gw8fPgQUqkUbdu2hZlZzbdQIESRvLI8nIo8haicKLntNto28HXyha5Qt5EjI42BkhtCSJNLSkrCF198gT/++APl5eUAAC6XC18/P6xcsQIuLi5NHCFpKaRMirDkMFyKvYQKSYVMu0BJgEF2g+Bm7EbF+FoxSm4IIU0qNjYWvXr1RplIjBEzP0OX/oPB4/HwKPQKzu7fAXcPD1y8cAHdunVr6lBJM5dZnIkTESeQWJAot72tQVsMsR8CDb5GI0dGGhvVuSGENKnevfvgZXwivtrxF3QMqt9dubS4CN8HvofS3EzExERDSYn+HiOyxFIxridcx7X4a5AwiUy7hooGhjoOhbO+cxNER+pLXb6/aQYVIaTJPHz4ENevX8O4jxfLJDYAIFRTx5RFK5GYmICgoKAmiJA0d0kFSdh2bxtC4kLkJjadTDohsFsgJTZvGfoziBDSZE6fPg01DU107uutsI+1kwusHNrg5MmTePfddxsxOtKcVUgqcDn2Mm4n3ZZbjE9XqAs/Jz9Ya1s3fnCkyVFyQwhpMsXFxVDT0ATvXy43qWvroLi4uJGiIs1ddE40giKDkFeWJ9PG5XDhbu6Oftb9oMxTbvzgSLNAyQ0hpMlYWFggOyMN+dmZ0NIzkNtHVFGOpOgI+PTr2cjRkeamRFSCcy/PITw9XG67iboJ/Jz8YKJh0siRkeaG5twQQprM2LFjoaysjAt/7lXYJ/TcCeTnZGPq1KmNGBlpThhjeJLxBJvubJKb2ChxlTDAdgBmdJ5BiQ0BQGduCCH/l5SUhG3btuHY8RMoLCyEhbk5pk6dgnHjxkEoFDbINnV0dPDxRx9h7dq1MDCzQB/f0dVqj4TfDMGe77/EyJGj0KZNmwaJgTRv+WX5OBV1CpHZkXLbrbWt4evoCz1VvUaOjDRntBScEIKDBw9i8uTJ4Ckpo6uXD7R09ZEQ9QyPQq/CxsYW58+fg52dXYNsWyKRYPr06dizZw/MrO3Qqd8g8JSU8CT0Kl4+fQhv74E4evQI1NTUGmT7pHlijOFuyl1cjLmIckm5TLtASQBvW290MulExfjeEnX5/qbkhpC3XEhICAYMGAD3QcMxddFKCNXUq9qSY19i/Wf+4HOA8PCH0NBomOJnjDFcvXoVm7dswc2boZBKpejg6ooPP5wFHx8f8Hi8BtkuaZ6ySrJwIuIEEvIT5LY76ztjqMNQKsb3lqHkpgaU3BBSXf/+XkjIyMayPcfBlZNEpCfG4fMR/fDjjz8iICCgCSIkbwuJVIIbiTdwJe6K3Jo16irq8HHwQVuDtk0QHWlqVMSPEFIrcXFxCA6+jEHj/eUmNgBgZGGNzn0HYseOnY0cHXmbJBckY9u9bbgce1luYtPRuCMCuwZSYkNqhSYUE/IWi4+PBwDYtXOrsZ+tSwec3fdLI0RE3jYVkgoExwbjVtItucX4dAQ68HXyha2ObRNER1oqSm4IeYu9WgVVnJ9XY7/ignwIhaqNEBF5m8TkxiAoIgi5ZbkybRxw4G7hDk9rTyrGR+qMkhtC3mJubm4wNDTCtVOHYd++o9w+ErEYoeeOY/jQIY0cHWmtSkWlOBd9Dg/THsptN1IzwnDn4TDVMG3cwEirQckNIW8xFRUVzJo1E999vxoeg4fDya1rtXbGGA5vW4+stBQEBgY2UZSNQywW4+zZs3j58iVUVFTg5eUFJyenpg6rVWGM4VnmM5yOOo1ikeztNJS4Suhr1RceFh7gcWmFHHlzlNwQ8pZbtGgRQkKu4LuAiRgwehL6Dh8DLV0DxEc8xbmDu3DvygV899136NhR/pmd1mD37t348suvkJKSDIFQFSJRBSRiMQYMGICtW7c2WI2ft0lBeQFOR53Gi6wXctsttSzh5+QHfVX9Ro6MtEbNZrXUqlWrwOFwMGfOnBr7XblyBZ07d4ZAIICtrS22bt3aOAES0koJBAKcPXsGH380GzdO/on5o7wws78rvv1wPEoykvH7779jwYIFTR1mg/nhhx8wbdo0WHfoim/3n8GuGxHYdf0FAlb8iCcRL+HRsydiY2ObOswW61Uxvk13NslNbPg8PoY5DsNUt6mU2JB60yzq3ISFhWHMmDHQ1NSEp6cnNmzYILdfbGws2rVrhxkzZmDmzJm4ceMGAgICcODAAYwcObJW26I6N4QoVlpaimvXrqG4uBjm5ubo0qVLq67+Gh8fD1tbWwyZOAMTP/1Spj0/JwtfTxmOLh1ccfJkUBNE2LJll2TjRMQJxOfHy2131HPEMMdh0OTTZzH5d3X5/m7yy1JFRUWYOHEitm/fjhUrVtTYd+vWrbC0tKxKftq0aYO7d+9i7dq1tU5uCCGKCYVCDBw4sKnDaDS//PILBKpqGDlrrtx2LV19+E4JxM6VCxEfHw8rK6tGjrBlkkglCE0KRUhcCMRSsUy7mrIahjgMgYuBS6tOnknTafLLUoGBgRg6dCgGDBjwr31DQ0NlPngHDRqEu3fvQiQSyX1OeXk5CgoKqv0QQggAhIRcgVtvLwhqWObeY6AvGGO4fv16I0bWcqUWpmL7/e24GHNRbmLTwagDArsFop1hO0psSINp0jM3Bw8exP379xEWFlar/mlpaTAyMqr2mJGREcRiMbKysmBiInur+1WrVmHZsmX1Ei8hpHWpEFVAgy+osY/K/9sV/QFFKokkIoTEhSA0KRRSJpVp1xZow9fRF3a6NDmbNLwmS24SExPxySef4Pz58xAIav5w+afXM/1XU4YU/QWwaNEizJ379ynngoICWFhYvEHEhJDWxqVtW1wIuQapVAouV/6J7Gd3bwIAnJ2dGzO0FiU2NxZBkUHIKc2RaeOAg+7m3dHfpj9UeCpNEB15GzVZcnPv3j1kZGSgc+fOVY9JJBJcvXoVP//8M8rLy2XuBGxsbIy0tLRqj2VkZEBJSQl6enpyt8Pn88Hn8+t/BwghtSaVSlFSUgJVVVWFSURT+OCDD7B3716EXT6D7gOGyrRLJRKc/HUr2rVrj+7duzdBhM1bqagUF2Iu4H7qfbnthmqG8HPyg7mmeSNHRt52TZbceHl54fHjx9Uemzp1KpydnbFgwQKZxAYA3N3dERRUfcXC+fPn0aVLFygrU3luQpqbv/76C1988QVevoyGVCoBl8uDg4M9Vq5c2SwWAXh4eMDX1w+/LJ0LiViEHt6+VTcQzc/OxL4fvsGzuzcRFBRE80Ne8zzzOU5FnUJRRZFMG4/DQx+rPuhl2YuK8ZEm0SyWgr/Sr18/uLm5Va2GWrRoEZKTk7F3714Afy8FnzlzJmbMmIHQ0FDMmjWLloIT0gwFBARg69at0NIzQP8RE2FobomMxHhcOvI7CnKyMHv2bPz4449NHSZKSkrw3nvv4+jRI9A3NoV9+04oLS7C07AbUFFWxo4dOzB+/PimDrPZKCwvxOmo03ie9Vxuu4WmBfyc/GCgZtDIkZHWrkUtBa9JamoqEhISqv5tY2OD06dP49NPP8WmTZtgamqKH3/8sVn8BUgI+duvv/6KLVu3os+wUZj+5fdQ+seZ1Xemf4xtyz7Hzz//jO7du2PixIlNGCmgqqqKI0cO4969e9ixYweiol5CR1sVk7//HlOmTIGOjk6TxtdcMMbwIO0BzkefR5m4TKZdhaeCAbYD0NW0K53lIk2uWZ25aQx05oaQhmdlZYUyCbDu6BXwlGT/hhKLRJg7vDc0VfmIjo5ugghJXeSU5iAoIgixefIrNTvoOmCY4zBoCbQaOTLyNmk1Z24IIS1PTk4OEhMTMWHOF3ITGwBQUlbGgNHv44+fv0dRURHU1dUbOUpSG1ImRWhiKILjguXWrFFVVsUQ+yFUs4Y0O5TcEELqVUJCAhhjMLGquZ6JibUdGGNITExEmzZtGik6UltpRWk4EXECKYUpcttdjVwxyG4Q1FTUGjkyQv4dJTeEkHplbGwMAMjJSK2xX056Zbu84puk6YgkIlyJv4KbiTflFuPT4mthmOMwOOg5NEF0hNQOJTeEkHplbGwMAwNDXDq8D14j35N7uYIxhkuHf4exsTG0tbUbP0giV1xeHIIigpBdmi3TxgEH3cy6ob9Nf/CVqHYYad6aTzUtQkiDuHDhApycnKCtrQ19fX1MmDABpaWlDbrNTz+dg/iIZzj8y3q8vmaBMYZDm9cgKToCn3/+eYPGIZFIEBQUhI8//hgffPABVq9eLVMIlABl4jIERQRhz8M9chMbA1UDTOs4DUMchlBiQ1oEWi1FSCtVVFQEGxsbZGdnQ0lZBaY29igpLEBmSiJ4SkqY9/nnWLVqVYNtf+DAgbhw4QLs23fEgFHvw9DMEulJ8bj412+IfvIQQ4YMwenTpxts+zdv3sSECRMRHx8HU2tbCFXVkRQTBalEjNmzZ2PNmjVyi4W+bV5kvcCpyFMorCiUaeNxeOhl2Qu9rXpDiUsn+knTotVShBCYmZmhsKgIYz9aiAEj34OqRuWHQfTTh/h19RJ8v3o1NDU1sWjRogbZ/vnz57FkyRJs2rQJW5f+fX83XT09LFu2DEuWLGmQ7QLA3bt3McDbG9bO7bFi5c+wbdsBAFBcmI8Lf+7Fjz+uQ1FREbZt29ZgMTR3RRVFOBN1Bk8zn8ptN9c0h5+THwzVDBs5MkL+OzpzQ0grtHTpUixfvhwzlqyB5zvjZNrLS0vx5ftDkZmcgPIy2YJs9e3p06eIjY2FjY0NXFxcGnx7ffr0RWJGNr7efRQqAqFM+8W/fsOubxfj/v376NixY4PH05wwxvAw7SHOR59HqVj28qQKTwX9bfqjm1k3cDk0c4E0H3X5/qZXLiGt0Pr166FraIy+vqPltvOFQgyf9hEqysuxc+fOBo/HxcUFw4YNa5TE5tmzZ7h27Sr8pgbKTWwAwPOd8dAzMsGWLVsaPJ7mJLc0F789+g3HI47LTWzsde0R0DUAPcx7UGJDWjS6LEVIK1RWVo5ug4ZX3QRSnk69vQBU3tzS39+/sUJrcA8ePAAAuP1//+ThKSnB1aMf7t1/0FhhNSkpk+J20m1cjr0MkVQk0y5UEmKw/WC4GrlSMT7SKlByQ0hr9S8XnOXVMGlV/uWKO5O28v3/v/SidByPOK6wGF87w3YYYj+EivGRVoXOOxLSCgmFAty7ch4SsWzJ/FfuX70IAK3ujtedO3cGANy/ekFhH7FIhEc3Q9Cta5fGCqvRiaViXI69jF/u/SI3sdHka2JC+wkY1XYUJTak1aHkhpBWaN68ecjLykDwsQNy28tKinF8589QUeFj0qRJb7SNoqIiPH78GM+ePUN5eXmNfRMTE/Hw4UMkJSW90bbqwtnZGf36eeLE7s0oKy2R2+fS4X3IyUzHhx9+2ODxNIWE/ARsvbsVV+Ovyj1D19W0KwK7BsJRz7EJoiOk4VFyQ0gr9OWXX0JHRwe7V32Bw7+sR0FuDoDKlTIv7t/GNzNGIz0xFqtWfVvnsePj4zFr1iwYGRvD1dUVLi4uMDe3wOLFi5GXl1et7+HDh+Hh0ROWlpbo2LEjLCws0KtXbxw7dqwe9lKx9et/QHZqIlbNGocXD+5UFRIsyM3GX1vWYe+apQgMDISrq2uDxtHYysXlOBV5Crse7EJWSZZMu76qPqZ1nIahjkOpGB9p1WgpOCGt1IkTJzB8+HBwOBxweTwYmluhrLgIuZnp4PJ4sLaywrNnz8Dn1/5L7unTp/Ds3x9iKdB/5Hto36MPJOIKhF0+h6sn/oC1lRWuXAmBvr5+1XL0dt16wvPdCTA0ryziF3z4dzy9G4pvvvkGX375ZYPtf1hYGCZMmIiXL6NgYGIGVXUNpMTFgMvlYO7cuVixYgW43Nbz911kdiRORp5EQXmBTBuXw0Uvy17oY9WHivGRFqsu39+U3BDSCuXk5MDaxgZ27TtjdOB8HN22ARnJCVBSUUE3Lx/YOrfH2k+n4ZOPP8Lq1atrNaZEIoGzcxtUcJSweOtBaOroVmtPjn2JlR+MRm8PD3z44Sz4+Phg7OwFGD5tdrV+jDEc3bERf21Zh/Pnz8Pb27ve9vt1UqkUFy9exMWLF1FWVgY7Ozu899570NPTa7BtNrbiimKceXkGTzKeyG030zCDn5MfjNSNGjkyQuoXJTc1oOSGvA3WrVuHhYsW4aczd6Clqy+3z4EfV+HK0d+RkpwMNbV/n1B68uRJ+Pr6YvneE7BvJ7/wXcjxP7B9+Tx4ePREen4Rlv16QuGNM7+c6IM2tlY4depk3XaOAKg8ho/SH+Hsy7Nya9Yoc5XR36Y/upt3p5o1pFWgIn6EvOUOHz6CTr0HKExsAKDfO+NQkJ+P4ODgWo155MgRWNg5wc7FTWEf94F+UBEIcOPGdfT1G6uwZgqHw0Hf4WNx5szpBr+JZ2uUV5aH3x//jqMvjspNbGx1bBHQNQDuFu6U2JC3El18JaQVysvPh6WVU419dA2MAQD5+fm1GjM/Px86hkY1FnnjC4XQ0NRGeWkpdAyNaxxPx9AYjDEUFRVBKJRfSZhUJ2VS3Em+g8uxl1EhqZBpFyoJMch+EDoYdaBifOStRskNIa2QqYkxkmOiauyTHBsJADA2rjkJecXExATXQm9DKpEorHxckJuDvJws8Hg8JMdEoVOfAYq3HxMFgUAALS2tWm3/bZdRnIETESeQVCB/Ob2LgQuGOAyBuop6I0dGSPND5ysJaYUmTZqEJ3euIzn2pcI+5//4FebmFujbt2+txnz//feRmZqMB9cvK+wTfHQ/eFwu3nnnHQQf3Q+xSLbUPwCIRRUIObof48aNg4qKSq22/7YSS8UIiQvBL3d/kZvYaKhoYHy78RjtMpoSG0L+j5IbQv7hwYMH+PDDD9G7dx94evbHkiVLGqXwHFC5GikoKAijRo9Gz569MGSID7Zt24bi4mKZvunp6fj222/hNWAAevXqjalTp+LWrVtV9VzGjBkDa2sb/Dh/JrLTU6s9lzGGC3/+iqtBhzB//jwoKdXuBG63bt3Qt28/7FwxH/GRz2TaH1y/jCO/rIe/vz8WL16MrNQk/PL1XIgqqhf4E1WUY8tXc5CXlYE5c+bU8ui8nRLzE/HL3V8QEhcCCZPItHcx7YLAboFw0q/5EiQhbxtaLUUIgIqKCvhPn459v/0GPSMTOHfqAZGoAo9DQ1BRVobVq1dj7ty5Dbb9xMREDB06DI8fP4JtW1eY2ToiLysdT25fh46uLo4dPYrevXsDAHbv3o1Zs2YBHC5cPfpCoKqOqPAwpCclwNfXDwcO7IeamhoiIiIwYIA3MjIz0WPgMDi074ziogKEnjmG+Kjn+Pjjj7Fhw4Y6zc3IzMzEwIGD8OhRODr1GYD27n0hFolw9/IZPL9/G76+fvjrr0NQUVHBn3/+iffeew9qmtro7TsahmaWyEiKx7WTh1BSWIADBw5gxIgRDXVIW7RycTkux17GneQ7YHJuEqYn1IOfkx+stK2aIDpCmgYtBa8BJTdEnilTp2L//v2Yuuhb9B46Erz/n80oLS7C0e0bcXLvVmzbtg0zZsyo920XFhaiS5euyCsqRuC3m+Dg2qmqLTMlCduWfYa4549wKzQUERERGDVqFDzfnYDxnyyCuqY2gMp6Lncunca2ZZ9hQH8vnDhxHBwOB9nZ2dixYwe2bduOuLhY8Pl8eA8ciNmBgRgwYMAbTTotKSnBb7/9hs1btuLpk8fg8Xjo0cMdgYEBGDlyJHj/mI/z/PlzbNq0CQcOHkROdjZ09fQwYfx4zJ49G05OdLZBnqjsKJyMPIn8ctmJ3lwOFz0teqKvdV8qxkfeOpTc1ICSG/K658+fo23btvBfvApeo96T22fzV3MQdfcGEhLi632OyE8//YRP587F6kOXYGJlK9NeVlqCRWMHwrOXO+7duw91Iwt8vnG33MTk1oWT+HHBh7h58ybc3d2rtTHG6n0FzauPj9qM2xDbb02KK4pxLvocHqU/kttuom6C4c7DYaxeuwnghLQ2VOeGkDrYsWMHtHT10MdvtMI+vpNnIT09DSdP1n/BuV9+2YYunoPlJjYAIBCqwnvMZPz111+IiorEsMmzFCYJ3bx8YGxhjW3btsm0NURiweFwaj0uJTbyMcbwOP0xNoVtkpvYKHGV4G3rjRmdZ1BiQ0gt0XlN8taLjIyErUtHKKsovseShb0zNLR1EBkZWe/bj4qKxPihY2rs49ypO8RiMQDAqWM3hf24XC4c3brixYsX9RojaRj5Zfk4GXkSUTnyl+3baNvA18kXukJdue2EEPkouSFvPRUVFVSU5dTYRyIWQ1Re3iDLlpVVVFBeWlJjn3+2V5SVQqCq+HYJZaUlENSQqJGmxxhDWEoYLsZclFuMT6AkwEC7geho3JHOeBHyBuiyFHnreXp64sX928jNTFPY5/61iygrLUG/fv3qf/v9PHH7QhBqmv4Wev4E9A0M/v//QQr7lRQW4NGNYPTv71nvcZL6kVmciV0PduF01Gm5iU0b/TYI7BqITiadKLEh5A3RhGLy1svPz4eZuTk69PJCwIofweVWz/lLCguw3H8kTPS0cetWaL1v/9y5cxg8eDA+WLIG/d4ZJ9Me8+wRvpk+Cgvmz8O9e/cR9jAcy/YcR0FeLq6f/AsVFeWwc3GD+yA/7F2zFMFHfkd8fDxMTU0BVK6k+u2333Dv3j2oqalh2rRpcHBwkBtLYWEhrly5gsLCQpibm6Nnz54yx6MhJSQkICwsDBKJBK6urnB2dm60bTc0iVSC6wnXcTX+qtyaNeoq6hjqMBRtDNo0QXSENH+0WqoGlNwQef744w+MHz8e7Xv0hu/kALTp4g6JWIQ7l07j+M6fUJiTiRvXr8PFxaXet80Yw8yZM7Fjxw4MHDsF3mMmw8TKFoV5OQg5/gdO7PoZLm3aIDj4MjIzM9GlSxfk5eVDKpVUO9ujpKwCsagCW7ZsqayDA2DRokXY+OOPKC35+7IWh8OFnZ0tTp48WbUcu7i4GIsXL8bOXbtQXFRU1dfW1g5ffvkFpk6dWu/7/U9RUVGYO/cznD59ClKptOrxPn36YvXq79G9e/cG3X5DSypIwomIE8gozpDb3smkEwbaDYRASdDIkRHSctTl+7tJ59xs2bIFW7ZsQVxcHADAxcUFS5YswZAhQ+T2DwkJgaen7On258+ft6q/8EjjGzt2LNTU1DBv3nysnDUOXC636ku2Xz9PbAo6hrZt2zbItjkcDrZu3Qpra2us++EHnDu4GzwlJUjEYvD5fEycOBEbNmyAmpoaoqKiUFBYBKGGBoZPmw2PQX7gC9UQ8TAMQXs248X923j69CkAYPLkydi7dy/a9+iDoe9/AAfXzigpKsSNM0dxYvcmuLl1xKNH4TAzM8OAAd54+CgcgydMR1+/MdDU0UNC1HOcPbAL06ZNQ1JSEr766qsG2f/nz5+jV+/eUFHVwLTFq9DFcxB4Skp4dPMKTv66Bf369cPp06flvvebuwpJBS7HXsbtpNtyi/HpCnXh6+gLGx2bJoiOkNarSc/cBAUFgcfjwd7eHgDw66+/Ys2aNXjw4IHcv5BfJTcRERHVsjYDA4NqhcNqQmduSE0YY7h+/TqePn0KJSUl9OzZE23aNN5lgrKyMpw5cwYpKSnQ0tLC4MGDoa+vX9VubmGBwuJSfPNbEAxMLao9VyqRYOvSubhx5ij279+P8RMmwGvERExb/K3M3I3U+BgsmeQHEyMDjBkzBut+WI8vtv0B+3YdZWI6sn0D/tqyDnfv3kXnzp3rdX8ZY+jatRsy8grx1Y5DUNfSqdZeUV6GtXOmIjP+JRLi67/GUEOKzolGUGQQ8sryZNq4HC7czd3Rz7oflHnKjR8cIS1Qi74spaurizVr1sDf31+m7VVyk5ubC21t7Tcan5Ib0lKFhYWhW/fumLrgG3iPmSy3T2FeLgIGdoaGuhpKysqx9eIDhSurgvZswYEfV0FHVwfdBr2DyfOWye0nlUjwqV9PDB3kjd27d9fb/gDAnTt30L17d8zbuAcde3vJ7ZMUE4n5o7xw4MABjBsnOyepuSkRleDcy3MITw+X226sbgw/Jz+Yapg2cmSEtGwtsoifRCLBwYMHUVxcLFNZ9XUdO3aEiYkJvLy8EBwcXGPf8vJyFBQUVPshpCXauXMnwBh6DnlXYR8NbR107N0fBYWF6OblU+OS8Z4+7wBgyM3JQc8h7yjsx+Xx0GPQcJw7d/7Ng1fg/Pnz0NDSQQePfgr7mNs6wsa5Hc6dO1fv269PjDE8yXiCTXc2yU1slLhKGGA7ADM6zaDEhpAG1uR1bh4/fgx3d3eUlZVBXV0dR48eVTi3wcTEBNu2bUPnzp1RXl6O3377DV5eXggJCUGfPn3kPmfVqlVYtkz+X6SEtCRFRUUAhwOBmnqN/VTVNcHhcKGqrlFzPw2tqv9X+8f/y6OmoYmysrLaB1tLpaWlEKqpgfsvl5VVG2j79aWgvACnIk8hIjtCbruVlhX8nPygp6rXyJER8nZq8uTGyckJDx8+RF5eHg4fPozJkyfjypUrchMcJyenajfbc3d3R2JiItauXaswuVm0aFG1uzkXFBTAwsJCbl9CmjNXV1f8/vvviHkaDvv2snNjgMqzB5HhdwEmReTDsBrHe/noftX/Rz2+r/D2DwDw8vF92Ngqbn9Ttra2yE5PRXZ6KvSMTOT2qSgrRXzkMwz37lfv2/+vGGO4m3IXF2MuolxSLtPO5/HhbeeNziadqWYNIY2oyS9LqaiowN7eHl26dMGqVavQoUMHbNy4sdbP79GjB6Ki5JcuBwA+nw9NTc1qP4S0RHPmzIEKn4+Tv/2isOBf+M0QpCXEwtPTE3ERT/Hi/m25/RhjOLVvG4RCVXgNGIDzB3ZBLBLJ7ZsaH4P7Vy/igxnT621fXhk9ejQEQiHO7t+psM+VoEMoys/DtGnT6n37/0VWSRZ2P9yNU1Gn5CY2zvrOCOwWiC6mXSixIaSRNXly8zrGGMrLZT8oFHnw4AFMTOT/xUdIXVRUVODAgQPo27cf9PT0YWRsglGjRyM4OLjG6sE1EYvFWL58OYyNjaGsogJlFRXo6xtgwYIFqKiQrU5bExUVFUyeNAl3Lp7CgY3foqKstKqNMYbHt6/hp4UB0NHRRVBQEDQ0NLFurj9+X78CX74/DB94tkfgoC7Y/NUn+HFhAMJvBCMwMABfL12KhKjnWDdnKrZ/Mx8f+/TAjH7tsGCMN35f/w2+C5wIW1s7TJw4sc77HxYWht69e0MgFEJJWRkCoSr69OmDu3fvAgA0NTWxYP58nPrtF5zet71agiWVSnHz3HHsW7cck6dMgZ2dXZ233xAkUgmuxV/D1rtbkZCfINOupqyG0W1HY6TTSFw4eQEDvPpDX1cXhvp68PP1xdmzZ9/49UQIqZ0mXS21ePFiDBkyBBYWFigsLMTBgwfx3Xff4ezZs/D29saiRYuQnJyMvXv3AgA2bNgAa2truLi4oKKiAvv27cN3332Hw4cPY8SIEbXaJq2WIvLk5uZiyBAf3L59Cy5dPeDStSdEogqEXTqNpJgo+Pv7Y9u2bXWq1ltUVATnNm2QnJQES4c26Np/CDhcDh5cu4ToJw+hp6ePZ8+ewtDQsNZjSqVS6OnpIS8vD0I1dXQfMBR8VTU8uxuKxKjn4PJ4CDpxAj4+Prh8+TIGDR4MiVgMt1794dihC0qKCnH91GHkZqajXbt2ePz4MQBg1qxZ+OWXX6CupY3ew0ZBS1cfcRFPcefSaSjxlHD8+DEMHjy4Tsd0xYoVWLJ0KZRV+OjlMwKG5pZIT4zHjdNHIBZVYOXKlVi4cCEYY/jss8+wfv166Boao2PvAeApKeHJratIiY/BqNGjse+338DnN/39slIKU3D8xXGkF6fLbXczdsMgu0GQlEsw3M8Pl4OD0dZQHR2NBJAy4HZqCWKySzBmzBjs27cPysq0DJyQ2moxS8H9/f1x6dIlpKamQktLC66urliwYAG8vb0BAFOmTEFcXBxCQkIAAKtXr8a2bduQnJwMoVAIFxcXLFq0CD4+PrXeJiU35HWMMQwY4I279x9g7vpdcOzQuVrblRN/Ysc38/Hll1/WaXJ6u3bt8OJFBD76blNlYvOPSxOPb13F2k/9YWxkiIT4+FqPOXLkSBw5cgReo95DzLNHSI2PAZNKoaqugS6eg3HrwklIK8qRlpaKrl27IbewGJ//+CvMbOyrxpBKJDi++2cc2rwWO3fuhImJCXx8fOA9ZjLe/2wJlJT/riWTnZ6KdXOmoLwgD0+fPoGOjo68sGQcP34c744YgQ4e/TD725+rTW4uKSzAjwsD8OT2NQQFBVW9fx89eoQtW7bgxs2bkEql6NChAz6cNQs9e/Zs8ss6IokIwXHBCE0MlVuMT0egA18nX9jqVM5LGjliBM6eDsJCDxN0MP57xRpjDDcSC7H+VhoCAmfX6RI8IW+7FpPcNAVKbsjrbt26BXd3d8z9YQe69Bskt8+Bjd8i+Mg+pKakQF295tVKQOUXtZubG8Z9tAi+Uz6U2yfk2EFsWz4PZ8+exaBB8rf7TyUlJdDS1kavoSPxwZI1cvu8eHAHy/1HYuTIkTh8+DC+PXAW1k7ybxnx08IApEU9hbGxMfLKJfhy+yG5SUR2eio+9euJ1d9/j08//fRf4wQAR0dHZOYWYEPQdajwZW8pUFFWio+HecDMyADPnj2r1ZhNJSY3BkERQcgty5Vp44ADd4vKYnwqvMqk8NmzZ3BxccEnPUzQ30b+KrRDT7Pw5/N8JKekVCvSSAhRrEXWuSGkqezZsweGZhbo1MdbYR/vMZNRXFSEI0eO1GrMJUuWgKekBM8R4xX28RjyDoTqGli+fHmtxlyzZg3EIhEGj1M8sdbJrSssHdvi1OnTaNOpu8LEBgAGjZ+G2NgYhIbehPfYKQrPjugZmaBr/yHYuat2BfwKCgrwMjoa3mPel5vYAICKQIgBo95HREQESv5x36vmpFRUiuMvjmNv+F65iY2RmhGmd5qOgXYDqxIboLLSurYqH70tFX/4DrLXBpNKcODAgQaJnZC3XZMvBSekqSUlJcHC3rnG+TT6JmbQ1NZFcnJyrcZMTEyErpEJ1DW1FfZR4QtgZuOA9HT58zdeFxkZCXA4sHBQfB81DocDG+d2SI2LhqVjzffCsnL8O/GxqiEJetV+9s61WsUZE1N5qeyf48sfsy2kUikSExOrlXhoaowxPM96jtNRp1FUUSTTzuPw0Ne6L3pa9ASPK1ufJykpCRaaylDmKb6UpslXgoGGAElJSfUaOyGkEiU35K2nrq6OgkTF5QQAoLy0FCXFRVBTU1zx9/Uxi6JeQiqRKCxQxxhDfnYmjHRrLqD3ira2NsAYCvNyoamjq7Bffk4WOJzK/9akIPfv9oKcLJhYKr55Y0FOFtT/pXjgK68usxT82/ZzsgEAenrNp7BdYXkhTkWdwousF3LbLbUs4efkB31VxZeS1NXVkV8uBWNM4dkwiZShsExcq0uchJC6o8tS5K3n6+uLqEf3kRz7UmGf0PMnIBZVYNiwYbUa09/fHyWFBXhw/bLCPlGP7iEzJbHW90uaPXs2OBwOrgb9qbBPbmYaHt0MgYO9Pe5fuYCigjyFfa+cOAQ1dXWYmJjiatAhhf3EogrcPHMMw4f71SpOc3NzaGvr4MoJxXECQMjxg9DV02sWc04YY7iXcg8/3/lZbmLD5/Ex1GEoprpNrTGxAQA/Pz8k5JYgKkdxReU7yUUoLKuAn1/tjikhpG4ouSFvvVGjRsHY2AS7Vi5EWans/I/0pHj8tWUtfHyGwraWVXonTZoETU0t/Lp6CXIzZS87FeXnYufKReALhFiwYEGtxmzTpg3s7OxwdPtGxEc+Q9Sj+zi28yf8tWUdrp86guKCfGz/ZgHA4WDv3r3gcTnYuXKR3OJ8Mc/Cceb3bZg6ZQo++mg2rgYdQvjNEJl+jDH8vn4FCnKzERAQUKs4AWDGjOmIeBiGi3/9Jrf93ME9iH7yELNmzqz1mA0luyQbv4b/iqDIILnF+Bz1HBHQNQBdzbrWatXW4MGDYWdjg1/uZ6KoQiJneyLseZSNXj090KFDh3rZB0Xy8vKwfft2LFmyBN9//z2ePn3aoNsjpLmg1VKEALh58yYGDhoETT0DDBo3De2694a4ogK3Lp7EpUO/wVBfD9evX4OxsXGtxwwJCcHAgYMgUFPHkAn+6OI5CBwOFw9vXMbpfTtQkJuFPw4exMiRI2s9Znx8PJydnSESSyARi6Cqrgm+UIjczHTwlJQhEYuxfPkyfPXVVzhy5AhGjxkDczsn+Lw3Aw6unVFSmI8bp4/h0uF9cHZ2ws0bN8Dn8/HuuyNw9txZ9B42Cn39xkBLVx/xkc9w/o/deH7vNrZs2YJZs2bVOk6pVIpOnTohPDwcXTwHY8Co92BoZon0pHhc+msf7oacQ+fOnXHnzp061Q6qT1Imxc3EmwiJC4FYKpZpV1NWw2D7wWhn2K7OS9HDw8PRr28f8KUVGGqvic6mapBIgVtJhTgTXQA1bX1cv3kTVlZW9bU71UgkEnzxxRf4ceMGVFRUQFdNgKJyEUorxOjv2Q97ft1Lt6EhLU6dvr/ZWyY/P58BYPn5+U0dCmlmHj16xEaMHMl4PB4DwAAwdQ0NFhAQwDIzM99ozDt37jAHBwfG4XKrxuRwOMza2ppdvHixzuM9fvyYaWhoMgsHZ7bgp71s3914tv9+Ilt//BrzGvUeA8CWL1/OGGNs/vz5DAAzMDGv2jYApqquwTS0dZiOri6LjIxkjDFWUVHBvv32W2ZmVr2vh0dPdurUqTfad4lEwiZNmsQEQmG1MYVCVTZ16lQmkUjeaNz6kFKQwraGbWVLg5fK/Tny7Agrrij+T9uIiIhg48eNY8pKSn8fe4GA+fv7s+Tk5HraE1lSqZRNnjSJ8bgcNsZFj+15x54dH+/M/hrjxD73MGVGGgJmaWHOUlJSGiwGQhpCXb6/6cwNIa9JS0tDREQElJWV4erqWi+TPuPj43Hq1ClIpVJ4e3u/8eogT8/+eJmYjK93H5N71++/tqzD0R0bcfr0aQwZMgTjP/kCvpNnITMlCZkpiVBW4cPa2QXlpSVYMskPXTq0R1DQiarni8ViPHjwAMXFxTAzM4ODg8Mb7/MrUqkUR44cQUJCAqysrPDuu+822dkakUSEkLgQhCaFQsqkMu3aAm34OvrCTrf+bvWQmZmJ58+fg8vlon379tDSqt0E8jd1+fJleHl5Kayzk1kswryLSRg1cRK2bdvWoLEQUp+oiF8NKLkhLdWLFy/Qpk0bzP72J3gMfkdun/LSUswe3AWO9naIS0zGxlOh1SoO/9PlI/uxc+VCxMbGNtjlkeYkNjcWQZFByCnNkWnjgIPu5t3R36Z/tZo1LdHIkSNxN/gsfhxkofBy2h9PsnDsZRFSUtMaPNkipL5QET9CWqHQ0FAAQBdPxfd44guFcPXoh6iX0XDr7aUwsQGArv2HgDGGO3fu1HuszUmZuAxBEUH4NfxXuYmNoZoh/Dv5Y7D94Baf2ABA6I3r6GEqrHGekLuFBkpKyxAeHt6IkRHSeKjODSEthERSufJGSanmmy0qKauAMVaLfsrVxm2NnmdWFuMrrCiUaeNxeOht1Ru9LXvLLcbXUkkkEvC4NU+AVvp/e2v+3ZO3GyU3hLQQ7du3BwA8vn0NHTz6ye0jEYvxLOwGTEyM8fTOdUilUoXzWx6FXqk2bmtSWF6IMy/P4Fmm/PtWWWhawM/JDwZqBo0cWcNr7+qKR0/DUFP1pAepxeDxuGjTpk2jxUVIY6LLUqRFE4lEyMjIQEFBQb2NKZFIkJmZidzcXPzblLSsrCw8efIEeXl59bZ9Rbp164YOHdwQtHsTJGLZpcsAcPXkX8hOT8XiRYuQEh+D2xdOyu0nFlXg5K9b0LNnL7i41HybhJaEMYb7qfexKWyT3MRGhaeCIfZDMLXj1P+c2BQXFyM9PR3l5bK1cZrSrA8D8DS9CI/Ti+W2l4gkOPmyAO+8865MaYOCggJkZGRAJKc2UmsnEomQnp6OwkLZs3yk5aHkhrRIMTEx+Oijj6Cnrw8jIyNoaWnBw6MnDhw48K8JiSKZmZn46quvYGpqBkNDQ+jq6qJdu/bYtGmTzBfYhg0bYGJqCgMDA7Rv3x46urqwtLLCzp0762P35OJwOFi7dg0iHoZh4/xZSE+Kr2orLy3FuYO7sfvbxZg8ZQqmTJmCkaNG4ZevP8Olw7+jovzvarmp8TH44VN/JEY9x+rV3zdYvI0tpzQHe8P34kTECZSJZasDO+g6IKBrALqbdweX8+YffSdPnoT3gAFQV1eHsbExtLW0MHXqVDx+/Pi/hF9v3nnnHfTt0werbqThalwBxNK/3w+xuWVYdjUFhRJe1Q1bpVIpfv/9d/To3g1aWlowMjKCvp4uPvnkE8TFxTXRXjSeqKgofPjhh9DR1oaxsTE0NTXRp3cvHDp06I0/S0jTq9NqqfDwcAQFBUFXVxdjxoypVja9oKAAc+bMwa5duxok0PpCq6VavtDQUAweMgRcJWX0HT4O9u07oig/DzfPHMXj29cxafJk7N61q07LjaOjo9G/vxeysrPRc+hItOvWEyJRBe5cPI17IefQu3cfnDp1Eqqqqnj33Xdx7NgxmNk6YMCo96FvYoa0hFhcOPQbMpITMN3fH9u3b2+QfReJROjVqzfu3r0LKZPCzsUNQlU1xDwLR0lRIQRCIW5cv45OnTqhrKwMH8ycid/27oWmti6snF1QWliAl0/DoaevjwP798PbW/Gd0FsKKZPiVtItBMcGQySVPeOgqqyKwfaD0d6wfZ2L8b1u0aJF+O677+BkoAYvaw1oC3iIzy/Hhdgi5JdLceivv+Dr6/uftlEfCgoKMHHCBJw8dQp6anxYaCqjoIIhJrsY5mamOHzkKLp16waJRILJkyfh99/3w81EA30t1aGmwkVEVikuxRcBygKcPXce3bt3b+pdahBXrlzBUB8f8DkSDLBWh72uAIXlEgQnFOFJWhE++OADbN269T+/bkj9aJCl4OfPn4evry8cHBxQWFiIkpIS/Pnnn/D09AQApKenw9TUtNlPUKPkpmXLzc2FvYMDjKzs8dmG3TK1Xm6cOYrNX36C1atX4/PPP6/VmFKpFO3buyKvuBSLth6EnpFJtfYXD+5g9ez3MXHCeDg6OmLBggXwnfwhxn28qNqHnlQiwY6VCxFy/A/8tncv3nvvvf++w69ZuHAh1v3wA2av2oSSgnw8DbsJsVgEYwtrdPEcjJ0rFkBcXICoqEgIBAIAlXcT37lzJ2JiYiAQCDBw4ECMHj26qr0lSytKw4mIE0gpTJHb3t6wPQbbD4aaSu1ueFqT/fv3Y+LEiZjW0RDDnavfuFQkkWJtaBoeZpTh2fMXsLFRfBPSxhQeHo49e/YgKSkJampq8PX1hZ+fH5T/P5l81apV+PKLL/CZhwl6WVb/PCyqkGDFtRRkSviIjoltdZ+XmZmZsLezg406w6KephAqV/9j6GJMHn66nYaffvoJs2fPbqIoyT81SHLj4eEBT09PrFy5EowxrF27FsuXL8ehQ4cwePBgSm5Io9iwYQPmzZ+PjSdDoWNgJLfP9m/mI+L2VcTHx0FJ6d/nzJ85cwY+Pj74evdROHboIrfPyb1b8dfmNdDQ0IS6viG+3X9W7l9zUokEn/h6QEtViOhoxTfifBPFxcUwMTWF58j3Me6jhXL7JMe+xLyRnvjtt98aJLlqLsRSMa7EXcGNxBtyi/Fp8bUwzHEYHPT+exFCoHIuTyc3N/CyY7Gkj5ncPuViKfyD4jDro8rkurmrqKiApbk5OmqJ8GFX+bcVySoR4YOgGGz88ScEBgY2coQN67vvvsPSr77ETj8baPLlf06sD01FnFQL0bGxTVZ4kvytQercPH36FNOmTQNQee1/3rx52LZtG0aNGoWgoKD/FjEhtXTgwEF06uOtMLEBAK+RE5GSkozr16/XasyDBw/C0t4ZDq6dFfbpN3wsJFIpsrOzMGDUJIWnqbk8HrxGvofY2BhUVFTUavu1dfbsWRQWFMBr5ESFfcxs7NG2izsOHDhYr9tuTuLz4rElbAuuJVyTSWw44KCbWTcEdA2ot8QGAF6+fImHjx5hkK3iD1S+Ehd9LdWwf5/8m4U2N1evXkV6ZiYG2Wsr7KOvqowuphrY//u+xguskRz4fR/czdUUJjYAMMheC3EJCa2+FlRrVOul4Hw+X2ZFyPjx48HlcjFu3DisW7euvmMjREZWdjZc2nSqsY+hmWVl36ysWo2ZnZ0NA3PLGq+rq2vpQFVdA4V5uTAyr7mar6G5JRhjyMjIgLm5ea1iqI2srCxwOBzom9Q8poGpBTLT4uptu81FmbgMF2Mu4m7KXbntBqoG8HPyg4VW/d8Q8tVryVi95iJ/xurKyEnIrfftN4S/96nmekhGajy8yMxsjJAaVXZ2Ntro/du+V7bX9rOENB+1Tm7c3NwQHByMzp2r/3U7duxYSKVSTJ48ud6DI+R1+nq61VYJyZORnFDZ9x8T3muip6eHx5FhYIwpTHCK8nNRUlS5RDQ9KR7tuvdSvP2kBHA4HBgaGtZq+7Wlp6cHxhiyUpNgYKr4CzwzJRHWhq2rfktEVgRORZ1CQbnskn8eh4delr3Q26o3lLgNU7pLT08PAJBWVAErbb7CfmlFIujq6DRIDPXt1T6lF4lgo6O4iGF6sRj6Fq3r9QRU7n96UWKNfdKLKyeo1/azhDQftb4s9eGHHyI5OVlu2/jx4/Hrr7+iT58+9RYYIfKMGzcO969eQG5musI+lw7vh6mpGXr1UpyA/NPYsWOREPUcUY/uK+xz5cSf4HG50NPTx8W/9ipcIiqVSHDp8D7Y2NhARaV+S/kPHjwYGpqauHT4d4V9kmNf4tndUIwfX1MJt5ajqKIIh54ewoEnB+QmNmYaZpjZZSY8bTwbLLEBAAcHB7i5uuJ8jOJ6SuViKa4kFGH8xJYx16lv374wNNDHuZd5Cvtkl4hwN6UI4ycovhTaUo2bMBE3k4pRUK54nui5l/mwtrRE165dGzEyUh9qndy8++67WL9+PS5evCi3ffz48Rg3rnV8oJLma8qUKdDU1MTPiwKrzqT8040zRxFy7ADmzPmkVpOJgcqkoW1bF2z7ei6y01Nl2l88uIPDv/yA9957D/Pnz0N8xDMc/HGVTILzarVUdnoqli1bVvV4Tk4O1q9fX/Ue+e6775CRkSE3lr1796JDhw4wNzeHo6Mjvvrqq6q5O+rq6gj48EOc3rcND65flnluQW42Ni2eDXNzC4waNapW+95cMcbwMO0hNt3ZhKeZT2XalbnKGGw/GP6d/GGoVr9nyOThcDiYt2AB7iYX4vgL2ftTiSRS/HArDSLGQUBAQIPHUx9UVFQw59O5OBedj+sJsklbUYUEa0PToKOjg0mTJjVoLE+fPsWQIUNgaWkJKysrDB8+HNHR0f9pzMLCQmzduhUTJ07EmDFj8PXXXyMx8e8zNdOnT4dAqIq1oakoFclOSr8Yk4eQuHzM/fxz8Hit5/Ycbw1WRyoqKmzu3LmsvLy86rGMjAw2bNgwpqOjU9fhGl1+fj4DwPLz85s6FPKGbty4wTS1tJi2nj4bPm02m/vDDjbz63WsffdeDACbNHkyk0gkdRozMjKSaWppMRWBkHmPnsQ+XbuNzV71M+vSbxDjcLmsTZu2rLi4mDHG2PDhwxkAZmbrwCbPX84+W7+TTfz0S2ZobsUAMH9//6pxN23axARCIVNSVmZtOndnbbu4MxW+gCkrK7OVK1cyqVTKGGPs5cuXTE9PjwFg2nqGrF23XszU2o4BYHy+gP3111+MMcYqKiqYn99wxuFwWMde/VnANxvZp+u2s6Hvf8DUtbSZgaEhe/ToUT0d6aaRU5LD9j7cy5YGL5X7s/fhXpZTktPocUmlUrZw4UIGgDkZqLEPuxqxxb3N2ERXfWaoIWB8FRV24sSJRo/rvxCLxWzChPEMAHMz0WCfdDdhi3ubsZFtdJm2qgrT0tRgt27darDtSyQSNmjQIMYBmBKXw1wMhKytgZDxOGAcgI0YMeKNxj1w4ABTV1NjXA6HtTFUYx1M1JkqX4lxuVw2d+5cJhaLGWOMhYSEMDVVVaarxmdjXPTY4t5m7KNuxqydsToDwGbMmFH1HiVNry7f33VObm7dusUcHByYq6sre/LkCTt58iQzNDRk/fr1YwkJCW8UcGOi5KZ1iI6OZh999BHT0NRkABgA5u7uwfbv3/9GH0afffYZA8DadnFnmrr6VWOaWNkyOxc3BoAdOnSoqv/69euZiYlpVT9wOMzC0pLt2LGjqs+2bdsYAOY9ehLbcuE+238/ke2/n8i2BT9iflMDGQC2atUqlpuby9Q1NJiahhb7dO02ti8srqrvN78FMQt7Z8ZTUmJXrlxhjDEmEonYzp07WceOnaq2r6Ory+bNm8eSkpL++8FtIhKphN1MuMlWXFkhN6n57tp37EHqgyb/sgkKCmLeAwZUHXsBX4VNmTKlxSaVEomE7du3j/Xo3q1qnzTU1dnHH3/MYmJiGnTbPj4+DAAb0UaX/TbCgR0f78yOj3dmv75rz4Y66jAAbNy4cXUa8+jRo4zD4bC+1lpsh59d1ZgHRjmw9zsYMC6Hw+bMmVPVPzIykn344YdMTVW1av979+rJ/vzzzyZ/rZHq6vL9XacKxa8UFxdj1qxZOHToEKRSKVasWIF58+a1iCqOVOemdRGJRMjJyYFQKHzj32dcXBxsbW0x9qOF8JsSAKlEgqKCPHB5PKhpaAEA1n82HRkxEYiJia52ijonJwdJSUmwtLSEtrZ21eOlpaUwNTNDh97e+GDpWrnvjf0bVuLin3vwzjvv4OAff2DFbydh29ZVpl9hXi7mjeoPY31dREREVGvLz89HeXk5dHV1a30ZrjlKL0rHiYgTSC6UP6+vnWE7DLYfDHUV9UaOTLHi4mIUFRVBR0en3udXNZWCggKUlpZCV1e3qtBfQ4mNjYW9nS2GOerAv5P80g6b7qTiUkwBUtLSajVBXyqVws7GBgaSXCzubQqunPfd0efZ+DU8Cy9fvoStrW3V468+S1RVVaGhoSHzPNL0GqTOzT9FREQgLCwM5ubmUFJSwosXL1BSUvJGwRLyXygrK8PIyOg/Jarbt2+HqroGBo6dAqCyVo2mjh7UNbXB4XDA4XAw3P8jJCTE49y5c9Weq6urC1dX12qJDQAcOnQIebm5eMf/I4VJ/9BJMyGRSHH02DF08OgnN7EBAA1tHQweNxVRL18iISGhWpuWlhYMDQ1bbGIjlopxOfYyfrn3i9zERpOvifHtxmNU21HNKrEBADU1NRgZGbWaxAYANDU1YWRk1OCJDYCqCuIj2ugp7DOqrR4kjGHhQvlFK1934cIFxCUkYHRbXbmJDQD4OOhAna8sc4uUV58llNi0DnVObr777ju4u7vD29sbT548QVhYGB48eABXV1eEhoY2RIyENKgnT57AsUNXCISqCvvYubhBQ0u71jdHfPz4MUwsbWBkYa2wj5auPmzatENFeQU6ePSrcTxXj75gUilu3LhRq+23BAn5Cdh6dyuuxl+VW2W4q2lXBHYNhJO+UxNERxra06dPYaXFh45QcWJupK4CY3VlhIeH12rMx48fQ5WvDEc9xbcW4Stx0VZfBY9qOSZpmer8597GjRtx7NgxDBkyBADg4uKCO3fuYPHixejXr5/M3ZMJae64XC7E4pqrCUulUojFolqvmuDxeBCL/r1CsVgkAjj4175ikahq3JauXFyOS7GXcCdZftVXfVV9+Dn5wVLLspEjI42Jy+VWu2O5ImIpq/WtD3g8HiRSKRiAmiZJiCUAr4We7SS1U+czN48fP65KbF5RVlbGmjVrcP78+XoLjJDG4u7ujhf376AgV3aJ7ytPbl9DaXEx3N3daz1mZmoyYp49UtgnPSkesS+eQFVVFXcuna5xvLDLZ8BTUsLAgQNrtf3mKjI7EpvDNstNbLgcLvpY9cGsLrMosXkL9OzZE4kFFUgtVJzYx+SWIatEXHWD5n/j7u6OcpEED1KLFfYpKJfgcWYpPDw86hwzaTneaEJxS0YTipu/kpISPHz4ECKRCA4ODjA1NVXYNy4uDnFxcRAKhejYseMbzX/IysqCubk5+gwfhykLvpGZI1NRXoaVM8dCwMQID39Yq4nzYrEYNja20LO0xecb9qCstBiJLyMAxmBq4wANbR1s+uIjPL11BVOnTMGGDRvw2fqd6NxXNnlJS4jF4vFD0M6lDcLCwqoeLy0txcOHD1FRUQE7O7t6vdVDfWKM4faD2zj38hzSWOXE0NePoamGKYY7DYeRuuJ7hr3uwoULePz4MfT19TFmzBiFdzkvKyvDw4cPUVZWBltbW1ha/vfESSKR4OHDhygoKICZmRkcHR3/85iMMTx9+hSZmZlVc7lawiKNmkgkEoSHhyM/Px8mJiZwdnauasvJyYGhgT66m6ljXk/Zyb8SKcPKq0l4lFGKgqLiWt3Fnv3/BqclKS+xwtMcfCWuTPuO+xk4H1uExKSkeq8iThpWnb6/G3DVVrNES8Gbr5ycHDZnzhymqaVVtSSTy+UyX18/du/evWp9Q0JCmKdn/7+XYgPMwNCQffXVV6ykpKTO2960aRMDwHr5jGCr/7rE9t9PZL/fS2Bf/PIHc+rQhQkEAnbz5s06jXnmzBnG5XKZtoERU1bhV8XJU1JmukYmDAA7cOAAE4lEzNTUlPF4SmxM4Hy29VI4238/ke0JjWKzlq9nGjq6jC8QsJcvXzLGKl/Dn3/+OdPW0akak8PhMB+foezOnTt13veGIpVK2fbt25l1NyuGnmDoV/mjP0qP+f3gx5ZcXsJWXFnBbiTcYBJp7esSffXVV0xDXa3a715FiceGDBnCSktLq/oVFhayBQsWMF0d7Wp9B3p7sxs3brzRPolEIrZ69WpmYWZWbcxuXbuwY8eOvdGYUqmU7dmzh7m0aVNtTCcHB7Zt27YWuRxZLBazH374gVlbWlbbp84dO1bVbGKMsU8//ZQBYF1N1dm6Qdbs+HhndmycE1vtbcXcjCuXZi9durRO27516xYTCvjM2UCNLfe0YMfGObHj453Zzz42zNOm8rPlxx9/rOc9Jo2hQevc1KfNmzez9u3bMw0NDaahocF69OjBTp8+XeNzQkJCWKdOnRifz2c2NjZsy5YtddomJTfNU1ZWFmvb1oWpaWgy3ykB7Nv9Z9jaIyHM/4vvmLmtAxMIhezSpUuMMcYOHjzIeDwes3PpwAK+2cjWHbvKlu89wQaNm8pU+ALWq1fvN0pwdu3axQwMDRkApmdozDS1dRkA5uzc5o2+DIODg5mSkjLT0NZlYwLns+//vMBW/3WJTfz0S6ZjYMR4PCV25MgRxhhjK1as+H+SwmVcHo9p6xkyZT6/KsEbOGgQE4vFLDc3l3Xo4MZU1dTZ0PdnshX7TrF1R6+wGUvWMEuHNozP57OzZ8/WOdb6JpVK2Qcff8DgCmY+XIX1naLJhn6gzfpO0WBmfioM/cAGLxjMsoqz6jTu6NGjGQDmYiBkC3qZsi3DbNmqAZZsgK0W43LAjI2MWGlpKSsoKGBdOndiQhUl5uekw9YOtGKbh9qyj7sbM1s9VaaspFTngnsikYi9++47jMflMC9bLfatlyXbMsyWLexlxlz/X/Rt48aNdRqTMcbmz5/PALDu5ppsaV9ztmWYLVvWz4J5WFbWcAoICGhRCY5EImHjxo1jXA6H9bPWYiv/f5wW9zZjbiaVx+n7779njDH25MkTJhQImBKXU1nAUsBjWnweA8CUuGDqampVSX1dhIaGsjbOTgwA0xKqMH0NAQPA9PV0q9WiIi1Lg9e5qS9BQUHg8Xiwt7cHAPz6669Ys2YNHjx4ABcXF5n+sbGxaNeuHWbMmIGZM2fixo0bCAgIwIEDBzBy5MhabZMuSzVP48aPx5lz5/HVjsMws7Gv1lZRVoofPpuBxIjHCL15E66urug2YBhmLfsB3Ncm2EaG38N3ARMQGPAh1q5dW+c4KioqcPz4cTx58gTKysro1asX+vbt+0aXB7S0tKGipoFle45Bx6D65Zai/Fx8M2MMMpLiERJ8Ge7u7vCbGog+w0bh8Lb1yE5Phaq6BgZP8Ed5STE2zp+FDRs24P79+/jr6DF8ue1PWDq0qTamqKIcG+bNxMvwMCQmJEBLS6vOMdcHKZNi9e+rsWjbInS2UIODbvXLCcqMi+JnEhwJzsHx48fh5+dXq3EPHz6MUaNGwc9JB9M6yl7auptShJVXkzDEZyjMzMzw+6+78U0/M9i9tn2xlGHtzVSEZ1UgITGp6gaS/2b9+vWY9/lnWNjLFN3Mqi8XZoxhz8NMHI/Ixf379+Hm5larMU+fPo2hQ4fCv6Mh/Jx1ZdrPv8zDprA0/Pnnnxg9enStxmxqW7ZsQWBgAOZ5mKKnZfXPWMYYfn+chUNPsxEaGoppU6agNDMRX/cxRVROKWJyKhekOOgJYK3Nx5IrKTC2a4M7YXfr/B5kjOHq1au4du0aRCIR2rZti3feeQd8vuIbn5LmrS7f381uzo2uri7WrFkDf39/mbYFCxbgxIkTeP78edVjs2bNQnh4eK2XoVNy0/ykpKTAysoKE+cuwaBxU+X2yUxJwhxfDwwdOhSXgoPx05kwqKrLr0dxYOO3uHr8AFKSk6Gqqnh5d0Pau3cvJk+erHAeDQBEPAzDsmkj0LFjRyRnZOGHY9dkkrVXfloYgPSXz5CUlIhRAfMwbNIsuf1yM9Pw8VB3rP/hB3z00Uf1tj+1lVGcgRMRJ7Dix29QkpUKL5vq7zGLCj46F6lDyLhYcDER5q49cEHB/epe17ZtW6TERGL3O/bgceV/0W0ITcH1xCLwlJUx0kEDY9rJv5tzfpkY/idi8O1331fVW6mJVCqFva0trDh5+NTdRG4fiZRh5ql4+I2diB07dtRqnwYPGoTYBzewZoDiu7x/GZwELTtXXLve/MsAMMbQ1tkZemVpmN9T/lw5KWMIOJ2Atl09cOnSJXzrZQkXQ/nv07vJRfjmahJu376Nbt26NWTopAVo8CJ+DUEikeDgwYMormFFSmhoqMxqkUGDBuHu3bsQ/X+p7OvKy8tRUFBQ7Yc0L2fPnoVEIkHvoYrPvhmYmsOla09cu34dXfsPUZjYAEAf39HIz8vDtWvXGiLcWtm5cydUNTTRsZeXwj6OHbrAwNQc4eHh6OUzUmFiA1TuU0xMNCoqKtDHV/Ff8DoGxnDt0RfHj5/4T/HXlVgqRkhcCH65+wuiM6MRH58AG+2/J3cLpVz0LtREr0JNCFnlx46ntTouXrpU6wKgLyMj4GWrpTCxAQAvWy2IJFKUlZWjv63iM1daAiV0MVXDsaNHarXtZ8+eITY+Hv1tFH+g8rgc9LVUw/GjR2s1Znl5Oc5fuABPq5qLE/a30sD1GzeRm5tbq3GbUnR0NF5ERtZ4nLgcDvpZqeHq1Ssw1hSirYFQYd+OJmrQUePj+PHjDREuacWaPLl5/Pgx1NXVwefzMWvWLBw9ehRt27aV2zctLQ1GRtVP7xsZGUEsFiMrK0vuc1atWgUtLa2qHwsLxX8hkaZRWFgIZRU+VDVqzsQ19fQhFouhqSP/r/FXtPQq24uKiuotxroqKiqCupZ2jQkLh8OBlp4hpFIpNHVrvjSipWdQ9RwNbdnLF/+kqauHQjl3TG8oSQVJ+OXuLwiJC4GESaruYv5qpYpdmQA+eTowr6h+OUBbUFlnpLbJjUQqhRa/5jo/r8YEAC1+zXVMtPk8FBbW7ji96qcl+Lft81BSWrv9KS4uBmOsFvvEq+rf3FUdp3/ZJy0+DyKRGFoCXo2Xm3hcDrT4Si1i30nz0uTJjZOTEx4+fIhbt27hww8/xOTJk/Hs2TOF/V9/I7y6qqboDbJo0SLk5+dX/fzzlvekebCwsEBFeRlS4qIV9mGMITHyGdTV1ZEQqfj1AQDxEZXtTbk02sLCAjnpqSgqyFPYp6K8DMmxUeDz+Yj/l32Ki3gK4P/HIeqFwn6V7c8bJYmvkFTg7Muz2Hl/JzJLMqseFwqFUFLioTRfiv75WuhWrAEVJvtRE5tbBjWhsNZzg1RUVBCTW3OR0Nh/tMfmldXct0AEC4vaLQt/9VqK/Zftx+SVw9RE/mWr12lpaUFdTQ2xef8+Jl9FpdZzg5qSqakpOBzOv+5TXF45NDXUkVxQjnKxbHXqV4orJEgrLIeZmVl9h0pauSZPblRUVGBvb48uXbpg1apV6NChAzZu3Ci3r7GxMdLS0qo9lpGRASUlJYVvfD6fD01NzWo/pHnx8fGBnr4+zh3YpbDP0zs3kBgdicmTJuHRratIiomU248xhnMHd8HZuU2TXqNfvnw5JGIxgo8cUNjn5pljKC0qxOjRoxF69rjCIoJSiQQX//wV3t4DYWxsgrMHFR+niIdhiHn+GFOnTPmvu1CjlzkvsenOJtxKugWG6tP2VJRV4OUwAHHBYuiUyz97Ui6W4kJcEd6bNKnW9zHy7O+F6wkFyCkVy22XMoagyBxoa2rCwswMJyMVX8aJyi7Fi4xiTJMzt08eCwsL9Pfsh9PRBZAqmKaYVyrG9YQiTJs+o1Zj8ng8TJo8GZfiilCm4Au+QiLFhdhCjBs/HkKh4ss3zYWRkRGGDBmMM9EFkCioPlxQLsGVhCJMmjwFRWUihMQpnipwMSYfYinDxIkTGypk0ko1eXLzOsaYwls4uLu748KFC9UeO3/+PLp06dIoN3ojDUMgEGD+vHm4cGgvLvz5K6TS6h/0sc8fY8tXn6B79x5YunQp7Ozssf6z6UhLiK3WTyIW46+t63A35Dy+/PKLJi2A5urqirZt2+LPTatx59IZvD5v//Hta9jz/VewsLDE2rVroaaminVzpiA/O7Nav4ryMuxYsQBxEU+xePEiLFq0ECHHDuL0vu0yxykh6jk2LZ6Njh07YfDgwQ2yXyWiEhx9fhT7Hu1Dfnm+TLuJuglmdJqBdYHrUFTGsOZmKkpEktfGkGD1zVSUSjiYM2dOrbe9ceNGcDhcLA9JRHZJ9Tl2IokUv9xNR2R2GeYvXIgvvvoKV+IKsOdBBvY8yMDcs7H46HQMVl5NwunIXKy+mQaXtm3g6+tb6+0v/uJLRGWVYOvddIgk1Y99bqkYK66nQktbG9OnTwdQ+Vl248YNvP/ee2jXtg1c27tg5syZePjwYdXzPvnkE5RJufj+RgqKK6ofp1KRFGtvpiKvXIq5c+dWPf7kyRMEBgbCtX07uLR1xvhx4xASEiLzGquLhIQEfPHFF+jc0Q1tnZ0wbOhQHDt2DGKx/ESyJgsXLkJ8Xhl+vpOGiteOU16ZGCuvpUCopo5FixZh/Lhx2PUwC/dTq19CZozhdlIh9j3OxtRp02os5EmIXPW9Dr0uFi1axK5evcpiY2PZo0eP2OLFixmXy2Xnz59njDG2cOFC9v7771f1j4mJYaqqquzTTz9lz549Yzt37mTKysrVikL9G6pz0zxJpVL20UcfMQDM1MqWveP/ERs7ewFzde/LADA3t44sPT2dMVZZpEsgFDIOl8u69BvIxn20kPlO/pBp6xkwAGzkyJFNvDeVCgsLmdn/i71ZOrZlo2Z9xkYHfM7s2rlV1tLR06/ap7CwMKZvYMCUVfisl88INu7jRWzQ+GlMU1uXKSkpsb179zLGKo/TvHnzGABmbGHNhk+bzcbOXsDcenoyDofD2rVrz1JSUup9X6RSKXuU9oitvr6aLQ1eKvPzzZVv2PX469WK8Z0+fZqpCgVMVUWJDbLTZpM6GLCBdlpMqKLE1FSF7Ny5c3WO48cff2Q8DhiPA9bHSoO938GA+TrpMA0VLgPAPD09q+IdPHgwA8AEShzW30aLDXPUYTY6lbWD1IQCFh4eXuft79q1i/F4XKatqsJ8HXXYpA4GrK+1FlPmcZmBvl5Vscny8nI2duzYytezlpD5OGizwfbaTF+9st7KJ598wiSSymO1ZcsWxuNymAqPw7zttNikDgZssL024/M4jMsBW7NmTdU+LVq0iAFgump8NshOmw110GYWOpXF7vz8fN+ovtP27duZEo/H1PjKzNNak/k66jAng8oiiV27dGYZGRl1HnPBggWMAzA1ZS4b+v/j5GmtyZS4YEo8Lvvzzz8ZY4wVFxezQQMHVtaTMlBjE9vrs/Ht9ZmDfuX2hw/3Y2VlZXXePmmdWkydG39/f1y6dAmpqanQ0tKCq6srFixYAG9vbwDAlClTEBcXh5CQkKrnXLlyBZ9++imePn0KU1NTLFiwALNmyV8WKw8tBW/erl+/jp83bUJIcAhEIhGcnJwwa9bMqvL6IpEI3bv3QFxCIjyGjsTTOzeQlZoIFb4ALl17oqy0BHeDz+LEiRMYNmxYU+8OxGIxVq5ciS1btiA7p/Kyk5amFvz9p+Gbb76pdruIrKws7Nq1C3v2/IrUtFRoamhixIh3ERAQAAcHh2rjhoaGYtOmTbh46TJEFRVwcHDAzJkfYNy4cfV++SK/LB+nok4hMlv+pUBrbWv4OflBVyg70TkxMRHbtm3Dgd/3ITsnB3q6upjw3vuYOXNmnedRFBYWws3VFUVZqTAQcvEyp6zypoocDkw0lKGqwkN0rghXrl5FYmIixo4dC19HHbzfwaBaGf4nGSWVZ27cOuHa9Ru1vinjKxEREdiyZQuOHv4LBYWFMDUxwZRp/pg2bVrV5fHp06dj757d+KibEXpbaVbdWkAiZTgdlYudDzKwZMlS+Pv7w62DK7Q55XDRF+BeahEKyiVQV+Ghs4kaInMrkF7Oxf0HD3HkyBHMnz8fkzoYwM9JF8q8yjEZY7iVVIT1t9PwzoiROHjwj1rvy7Fjx/Duu+9iiIM2JncwhFD572PxPLME399Mh33bdrgZegtKtbzR5IMHD+Dh3gP22sow11DG/dQilIik0BYoobOJGu6mlYGjroPwR4+hq6sLiUSCoKAgbN60CQ/u3wMAdO3WHQGBgfDx8anz74e0Xi26zk1Do+SmZTt06BDGjBmD5b+egH37jjLtUqkUqwImQEVUinv36l74i/yNMYa7KXdxIeYCKiSyNzcUKAngbeuNTiadGuU4//zzz5jzycfY5GMDEw3Ze4iJpQzzLiTCsWtvRL98CZ3yDCzuZSo3tkdpxfgqOBFnzpyp90t4sbGxsLOzw4xOhhjqqCO3z68PM3A2rhT+06djz/at2OJjDQ05K4xKRBIEnknAiPHv49Cff6CXEQ8fdDGWO+bFmDz8dDsNT58+Vbji9J8YY+jQvj2UcuKxtK+Z3OP0PLMECy8m4OjRo3jnnXf+dUwAGD16NG5dPIX1Ay2gwpNNTDKLRQg4HYflK1ZiwYIFtRqTEKCF1rkhpDa2b98O547d5CY2AMDlcuEzcQYePLiP8PDwRo6u9cgszsTuh7txKuqU3MSmjX4bBHYNRGfTzo2WQG7/ZSu6m2vITWwAQInLwVB7TZw9dw5R0dEY7qSjMLb2Rqqw1VPD9u3b6j3O3bt3Q42vhAE11NkZ5qiD8vIy7NyxA/2t1OUmNgCgqszDAGt1/LZ3LwoKC+VWMX6lr5UWdFT52LlzZ63ivHv3Lh4/fQo/J22Fx6mNgSqcDdSwfVvtjlN2djaOHT2KIXYachMbADBQU0ZPC3Xs2PZLrcYk5E1QckNalJjYWNi1k5/YvGLfvlNl35iYxgipVZFIJbgafxVb725FQn6CTLu6ijrGuIzB2HZjocFXXEixIcTExsJRt+bS+Y76f1+Sc9JTfBdpDocDRx1lRL98WW/xvRITEwNrbb7MHan/SU9VGYYaApSUlsJJv+bLiM76QpRXVEBblQ9jdcV3vVfmcWCrrVzr1/2rfk56NW/fQVcF0S+jajVmYmIixBLJv47ppCdAbHz8f5oETUhNancRlZBmQiAQoORfCtSVFOZX9SW1l1yQjBMRJ5BenC63vaNxRwy0GwihctMsSRYKBCgRKa6JAqDaiqNikRTaCs4evOor1K3/14hAIECJqOYvbSljKPl/rMX/uk+V7WUiCcRSBqUaKjQXi1mtX/ev5maViKRQU1FcdK+4QgqhRu1+56/G/Nd9EknBV+HTZWPSYOjMDWlRBg8ahLuXz6CirFRhnxtnjkGoqoqePXs2YmQtV4WkAudensOO+zvkJjY6Ah1M7jAZw52HN1liAwCDBg/BtcRihXVmAOBKfAH09fWgrKSEKzXUTymukOBuWikG+wyt/zgHDUJMdjHiaigi+DC1GPmlFXBt3x5XE2qupH0loRDOTo4orRAjLFlx39TCCrzIKMagQYNqFWevXr0g4KvUeJzKxFLcSSmp9XGyt7eHlYVFjWMyxnA1oRiDBtcuTkLeBCU3pEWZNWsWigvz8cfP38s9pZ0UE4mzB3Zi0vvvN9ldsVuS6JxobA7bjNCkUJlifBxw4GHhgYCuAbDRsWmiCP8WOHs2UgvKcOS5/GKHEVmluBxbiICAQIwZMwZHI/KQWliBjGIRLsbk4UxULh6mFkMkkWLPw0yIpcCMGbUruFcX77zzDkyMjbDzQZZMnRcAKKqQ4NfHOXBzdcWixYvxOK0IV+LykVsqxs776VhzIxnb7qUjq6QCt5IKcS+lCPPmL4CHew/se5KDgnLZ2jMiCcOOB5nQ1dHG2LFjaxWnrq4uxk+YiONR+UgqkK0txhjD3ocZKBVLMHPmzKrHpVIpLl++jK1bt2LXrl2Ijv67sjiPx0PA7Nm4mlCIR+nyb5lwKioX8bklCAycXas4X1dSUoK//voLmzdvxoEDB5CXl/dG45DWjVZLkRZn06ZNmD17Njr29sKQCdNh184NxQX5uH76CE7v2wYrc3Ncu3YVOjryV6oQoFRUinPR5/Aw7aHcdmN1Y/g5+cFUo3kVT1uyZAm++eYb9LbSxFAHbVhp85FfJsGl2HwEReajc9euuHDxEoqKitCpoxvSU1Mh+n+lXC4HkDJAwOOgTMKwa9cuTJ0q/y70/9XVq1cxaKA3TNWU8K6TNjqZqkH6/yXbxyLyUQxlXL9xE23btsX7772H3/fvr4rv9f/6+fni6NFjiI6ORk8Pd3ArivGuoxbcLTSgzOXgYVoxjkXkIS5fhBNBQbU+cwMAOTk56NXTA8nxsRjuoIW+1ppQU+EiMqsMJyJzcS+lCFu3bq1Kbg4dOoSF8+cjJi4OXA6n6izaoIEDsXnLFtja2qKiogJDfXxw9UoIhjlowctWC3pCZSQWlON0VB6CY/Mxd+5crFu3rk7HVCwW4+uvv8ZPP25EQWEReFwOJFIGVYEA06ZPx+rVq1tEFWfy5ur0/d0wpXaaLyri1zr8+eefrE2btgxA1Y9AKGT+/v4sJyenqcNrtqRSKXuS/qTGYnxX464ysUTc1KHKJZVK2fbt25mNlVW1372GuhqbM2cOKy4uZowxdufOHabM4zIdAY8FdjVmf4x2ZMfGObHV3lbM3UKdAWAjRoxo0Fjv3LnD+vXtUy1ODofDhvr4sBcvXjDGKov9mZoYMy4HbGQbXbbdz44dH+/Mdg23Y2Nc9BiPA6avp1e1X9HR0Wz4cD/G5XKrjdvTw51du3btjeLMzs5mU6dOZQK+SrUxXdq2YYcPH67qt2PHDgaAdTPXYN8NsGTHxjmxP0c7so+7GzMTTQEzNNBn0dHRjDHGysrK2Pz585mWpka1MS3MzNjPP//MpFJpnWKUSCRs7NixjMflsHecddk2X1t2fLwz2/2OPRvfXp/xlXnMs19fKvjXyrWYIn5Ngc7ctB6MMdy+fRuxsbEQCoXo27cvna2pQUF5AU5FnkJEdoTcdistK/g5+UFPtfnfoFEqleL69etITk6GhoYG+vXrB3V19ap2czMzlOSkY90ga+ipVr81C2MMux9k4HhELq5fv97gc7NevHiBR48egcvlokuXLrC2tq5q++CDD7B9+3Z80ccM3cxkV589TCvG18GJGDtuHA4c+Ps+ZUlJSbh16xYkEgnatWsHFxeX/xxnTk4Orl69itLSUtjZ2aFr165VE37T0tJgaWGB/tbq+LCLkcxE4LwyMRZeSkIH9744c/Zs1eMlJSUIDg5GQUEBjI2N0adPH/B4Nd8xXJ4//vgD48aNw4JepvCwkP3cfppRgq+Ck7B23bo63dKDtCxUxK8GlNyQtw1jDPdS7+FC9AWUS2TnVvB5fHjbeaOzSePVrGlId+/eRdeuXTGzixF8HOQnu2ViKSYfjULHrj1w8+bNRo7wb5rqarDTAJZ5Kr47+bdXk/AoS4SikpImq9a7YsUKrFj+NXb52UJdwcqqSzF5+OlOOqKiomBnZ1ev2+/TuxfyXoZjhae5wj7rbqYihaeLiKiXVNW4laIifoQQAEB2STb2PNyDk5En5SY2TnpOCOwWiC6mXVpFYgMAe/fuBQD0slT84SdQ4qKHuQaePGq6Qo9ZWVkoLC5Bb6uaP6T7WGuitLwcERHyz7g1hsuXLqGjkarCxAaoPN6MsWq3y6kPYrEY167fQE9ztRr79bJUx8uYWCQnJ9fr9knLRHVuCGmFJFIJbibexJX4KxBLZVfXqCmrwcfBB20N2raapOaVsrLKJdgCpZr3i6/ElbmzemMqLq5cTSSoodjfP9tf9W8KFRXl/3o8VXgc8LgcVFTIVrT+L0SiyjvA1/Y41ff2SctEZ24IaWVSClOw/f52XIq9JDexcTN2w+xus+Fi6NLqEhsA6NatGwDgWYbiWkiMMTxOL4aegUFjhSXDzMwMSlwunmWU1NjvaUYJeBwOnJ2dGykyWf9r777jm67zP4C/knRv6J500MGeBYpllllKHQgOEFBRENBTjjtB9JxH9Y470RNFUOEQUfwdCi1DC0JBlrQUREYX3YsOupK2SZN8f39UqjVpaaHN6uv5ePBH8/kmeScB8ur3+/m8PyGhYUi72QSVuu1ZDGkVDVCpBYSGhnbpc1tZWcHHywtXy9v+PAHgSnk9bG1s4OVlWCv8SD8YbohMRJOqCYnXE7H1/FaUSks1xntZ9cJjgx/DfWH33bYZn7FMxdNW5xNPPAFrK0t8c62yzYZ/KcUyFNc14U9/el5jrDvO5giCoFGrmZkZRkdE4Eh2c48bbWrlSnyfVY3BQ4e2mjCta0uXLkVpbQNOF2jvDi4IAr5Jq0JQgD8mTpzYpc8tEonw9LJlOJEvRUV9k9ZjpAoVDudIsXDRIi4HJwAMN0QmIacqBx+lfITTBae1NuOL8InAM+HPIKh32xM9z549iwXz58Pezg4SiQQ+Xp545ZVXUFxc3N3ld0pRURFefvll+Hh5QiKRwN7ODo8tWIBz584BaN48dfVf/oqfb9Tj/bMlqJX/tiVDc6+ZOmw4XQTn3r1bVtbk5eUhJiYG1pYWkEgkEItE8HB3w1tvvXXHYaexsRGffPIJRgwbBgsLc1hZWmJc5D348ssvoVQ2h5nNmzdDDRHWHc1HXnXrOVGFtXK8crQAcpWAjz766I5q6CqjRo3Cfffdiw+Sy/BjXm2rMzhShQqbU27gXGEd1r/9TrdM5n3mmWfg6uaOV48XI7uqdefn4joFXj9RDMHcCqtXr+7y5ybjxNVSREasoakBh7MPI7UkVeu4u607YkNj4e3g3e7j/OMf/8CLL74IL0drTPSzhaOVBLlVchwvkMLS2haHvvseo0eP7o6X0CmnT59G9MwZUMobMcHPFn2cLFHdqEJSngwltQ3417/+hVWrVgFo/kL8ePNmiEXACC872JiLcbW8AWWyJrg6O+PipUvw8vLC0aNHMXP6dKhUSkT6OaCfqzUalGok5dQir0aO/v3745dffunUl3ZVVRWmT5uKlPPnMdLbHsPcbaAWBJwrrselUilmTJ+Ob/fuhZWVFQ4ePIj7770XCqUSoc5W8LK3QKm0CdcqGmAukWDnrl2YN29ed72lHVZfX4/58x/F3r374OFgjbDe5pCrBKSW1kMtiLDpww+7pePzLZmZmYieOQNZ17MR5mYLTxsJKhvVuFQqhYe7G/YfOIgRI0Z02/OT/nEpeDsYbshUXC2/ioOZByFVaO43JBFJMMF/Au7xvQcScft9Rfbs2YMHH3wQ8wY445FBLhD/bh5OnVyFv58sxo0mc6SlZ8BVj3NUSktL0S8sFN5WarwU6dlq5Y5aELDz53LsuXYTe/fuxb333gsAuHbtGlatWoVzP/0ElUoJF1c3/PnPf8bSpUshFoshlUrh4twbTubAm5N94f67XbcFQcDh7BpsOleK6OhoHDhwoMO1zpg+DWd+PI6/jfNE8B92yL5QIkPcqWLMf2wRPv30UwCAVCrFunXr8PXXu1Evk8HaxgYPPDAHb7/9tkH9PyUIAs6dO4ctW7Yg/do1WFhaYnJUFJYsWQIPD49uf/6mpibEx8dj586duFFSjN4uLpg37yHMnTuXl6N6AIabdjDckLGrk9fhYOZBXKu4pnXcz9EPsaGxcLFx6dDjjRwxHKqSTLw2wVvrBOOaRiWWJOTg9Tffwpo1a+6q9rvx5ptvYv2bb2Dr7AA4WGoGNkEQ8LekItj06Y8zZ3/q0GO+8MIL2LhxIzbO8EdAL+27aX+YXIofsmtRVVPToXkvFy5cwPDhw/HXe7xwTxvL0fel3cSOS5XILyiAp6dnh2ol6unY54bIBAmCgNSSVGxK3qQ12FhKLDEreBYeH/p4h4NNWloazqdeQHRfxzZXTjlameEeXzv8d9tnd1X/3dqxfRsifW21BhugeeLpzL4OOPvTOWRlZXXoMb/c9QXCXKzbDDYAMCu4F5RqdYf3Qtq5cyecbS0xxkez4/AtUYGOEIuAr776qkOPSUSdwz43REagsr4SCRkJyK3O1Toe4hyCWcGz4GjVuZ3QS0ubV1X5Olq2e5yvgwVSczRXYOlSSekNjAtpv5Gbr0Pz6ygtLUXfvn1v+5gyqRRDPdt/7T4OzZeqcnJyOlRnaWkpvOzNIRG3vczezkICFztLlJSUdOgxiahzGG6IDJhaUONMwRkcyz3WZjO+mcEzMcD1znrW3Dq1W1nfBC97izaPq2xQwsmxc8Gpqzk62ONmQ/sN2ip/XVLt2MFaLSws21xefMvNXx+zo/ONHBwccLNRDUEQ2vxMmlRq1DQ0wcnJqUOPSUSdw8tSRAaqpK4EW89vxeHsw1qDzWD3wVgxagUGug2842Z8Q4cOhb+fH45k17Z5jEKlxo8FMsyZq98VO3PmzsPxAhmaVG0vzf4huxZ9AwM7vJFk1NSpSC2RobKdgHMkuxpiEfCnP/2pY3XOmYOi6vp2m86dKZBCJm/C/fff36HHJKLO4YRiIgPTpGrC8bzjOF1wGmpB84vc0dIRs0Nno2/v21926YiNGzfiz6tWYfVYT40JsCq1gA/OleLHAhmuXrvWoUs9d0qhUGDv3r04e/Ys1Go1Bg8ejIceegi2ts2XotLT0zFwwABM9LfD8pEeGpd9TuTV4t9nivGf/3yAFStWAGhuyHfkyBEcPnwYcrkcQUFBWLBgAZydm3c+LywshL+fH/q7WuP5MZ44U1iHEmkTzMUiDHG3gaWZCK8eK0S/gYPw888d24dKrVZj0IABkN7Iw5sTvOFk3foEeUmdAuuSijB8TCQSDx+527eNqMfgaql2MNyQIcutzkVCegIqGyo1xkQQYZT3KEQFRsFC0vYlpM5Sq9VYsGA+vvpqNyJ87THZ3wFOVhLkVMtx6Hot8qobsWPH53j00Ue77Dn/aN++fVj69FO4UVYObycbSMQiFFTJYG9nh3f+8U8sW7YMAPD5559j8eLFCOhlhZlBDr/2uVHiaE4dzhbWYcGC+di+/b8Qi8VITk7G/EceQeb163Czt4aNhRhF1Q0QS8zw59Wr8eabb0IsFuPdd9/FqlWrIBYBYhHgZW+BhiY1yuuVkIgAaxsb5OUXoHfv3h1+PRkZGZgwfhzkdTWYGmCHEV52UKkF/FRYhx9ypfD08cOJkyd1snyayFR05vubc26IDECjshGHrx/G+ZLzWsddbVwRGxoLX0ffLn9usViMnTu/wPjxE/Deu+/irRMZAH5dfTRzBv679iVERkZ2+fPekpCQgAceeAAjvWyxbmYA+jg1T/C9IVXgf1cr8cwzz0CpVGLlypV47LHH0KdPH8StX49NiYktWxr0DwvD5s0vYMmSJRCLxbh48SImTZwIH1sR3p7ihzAXa4hEItQ0KnEgswpxcetRU1ODDz74APn5+RABeLC/M2aF9IKTlRkEQUB6ZSM+TS1DgUyN3NzcToWbkJAQJKecR1xcHP67fTu+vtIcVns5OeKZ557HmjVrOvV4RNQ5PHNDpGdpFWk4kHEAdQrNfXskIgnG9RmHcX7jbtuMrysIgoDr169DJpPB09MTbm5u3fp8KpUK/n5+8EAdXhrnpXWF0ccppThW0ICi4hL06tWr5fYbN26gpKQE9vb2CAwMbDXvaNLECcj9JQXvRPlo3U16f8ZNbD1fhj179mDOnDl4Ypgb7g3TDBtypRprfiiEd/9hOPHjyTt6jVKpFDk5ORCLxQgKCoKVVdvLzomobbws1Q6GGzIUUoUUBzMP4mr5Va3jPg4+iA2NhZtt9wYMfUpISEBsbCz+Nd0ffXtr/9KvalBiSUI2Nvzr3x2a1JuWloZ+/frhzxFeGO+v/d+4Ui3g6f258AwIRlFOJrbO8oe5RPuk7B/zarHhdDGuXLmC/v37d/zFEVGX4mUpIgMmCAIull5E4vVENCg1V9RYSCwQFRCFcO9wiEWmvaAxJSUFznZWbQYbAOhlbYYQZxskJyd36DHPn2++tBfu3XY3YTOxCMPcrfBTTjbC3SzbDDYAMOrXx0lJSWG4ITISDDdEOlTVUIWEjARkV2VrHe/buy9iQmLgZOWk28L0RBAEdGQRu0gEdPYk8+1Wx/823v6Bt47rYSe5iYwaww2RDqgFNc4WnsWxnGNoUmv2VLExt8GMvjMwyG3QHfesMUbDhw9HhbQR2VWNCGxjC4TqRiUyKurxRAd3fB42bBgAIKVYisg29nZSqQVcuNEIH79A/FyQDaVagFkbHYVTiqUttRKRcTDtc95EBqBUWopPUj9B4vVErcFmkNsgrAhfgcHug7st2NTV1SE9PR15eXkGdQYiJiYGXh4e+OpyJdRt1LXnaiUkZmZYtGhRq9urqqqQlpaGoqKiVrf3798f4yLvwTdp1ZArtTf8O5xdjQqpHK+99hoqpXJ8n1Wt9TiFSo09adUYGzEGgwYN6vwLNADV1dVIS0tDYWGhQX32RN2J4YaomyjVShzNOYot57eguK5YY9zR0hGPDnoUc/rPga1F+3sm3amrV69i0cKFcHVxQVhYGPz9/REWEoL3338fTU3tbzugC2ZmZvjPpk04VyTFP08Vo6j2t+0VKuubsOX8DcSnV+Gtv69vabx39uxZ3H//fXB1dUG/fv3g4+ODEcOHYceOHS1f3v9+dyOKZSq8fqIYmZW/zWuSKlT435VKbDlfhiVLlmDevHlYtmwZPkktw9eXKyBVqFqOzbrZiNePF6OwTol/v7tRN29IF0pJScGDDz4IV5fm98nX1xfDhgzBZ599BrW67S7PRKZAr6ul4uLi8M033yAtLQ3W1tYYO3Ys3nnnHYSGhrZ5n6SkJEyaNEnj9mvXriEsLOy2z8nVUqQLedV5SMhIQEV9hcaYCCKEe4cjKiAKlmbtb9p4N5KSkhATHQ07MwHTA+0R5mINWZMKJ/KkOF1Qi2nTpmPvvn2wsOi6hoB3oqKiAsOHDkVxcRFUAuDraAEzkQh5NXIAgJ29PVJSziM4OBi7d+/Ggvnz4eVgiRmB9vC/1cQvtw4pRXVYsmQJtmzZApFIhFOnTuHRRx5GfkEhvJ1sYGMuRn51A1RqYOWzz2LDhg2QSCRQqVRYs2YN3tu4EWKRAD8nazQ0qVFYXQ9fb2/s3LUL48eP1+t71FnffvstHpo3D+525pgRaI/AXlaolatwNLcW5wrrsPCxx7Bt+3aIxfz9loyH0SwFnzFjBh5++GGEh4dDqVRi3bp1+OWXX3D16tWWlut/dCvcpKent3pxrq6ukEhu3weE4Ya6k1wpx5HsI0gu1r6yx8XGBbGhsfBz9OvWOqqrq+Hfpw/8bdV4KdJLo9fLhRIZ/v5jEVb/9UWsX7++W2u5ndjZs/Hj0UT8bZwn8msUSK9ogBqAv5MlBrvZIO50KZy8AvDN3r0Y0L8/xvrY4k+jNbdf+CG7Gu//VIrNmzdj6dKlAJr76Bw4cABHjhxBY2MjgoKCsGjRIq2dgW/cuIEdO3YgMzMTlpaWmDJlCmbNmgUzM+OampiXl4fQkBCM9LDCC2M8NVaCncitxb/PFmPjxvfw3HPP6alKos4zmnDzR+Xl5XBzc8Px48fb/E3pVripqqq6ox11GW6ou6RXpONA5gHUyjU3oRSLxIj0i8T4PuNhJu7+L8v33nsPf161Cp/GBqKXtfbn23ahDEklShSXlMLa2rrba9ImKysLwcHBeG60B6ICnbQec6WsHi/9kI85c+bg8MEEfDrbHxYS7Wcc/nGqGBWW7riWnt6jJmb/3tq1a/HBu//Cp7EBWhsYAsC7Z0qQJzghKzubZ2/IaHTm+9ug/lbX1NQAQIfakg8bNgyenp6IiorCsWPH2jxOLpejtra21R+iriRTyPC/q//Dl5e/1BpsvO29sXTEUkwOmKyTYAMAX+/+CuFetm0GGwCYGuSI6ppaHD16VCc1afPNN9/A2sKszVVNANDf1RreTtY4dOggJvjathlsAGBqoCPSMzNx5cqV7ijXKPzf7q8Q6WvbZrABgGlBjsjJy8OFCxd0WBmR7hjM+VZBELBq1SpERkZi4MCBbR7n6emJLVu2YMSIEZDL5fj8888RFRWFpKQkrWd74uLi8Prrr3dn6dRDCYKASzcu4bus77Q24zMXm2NywGSM9hmt82Z8VVVVCLRp/5+3q405gOZLWPpSXV0NR2tzWLbzRSwSieBsLUFpXQNcbNpuzAcALr++Zn2+Jn2rrq6Gi2/7n73zr+9TVVWVLkoi0jmDCTcrV67EpUuXcPJk+/u3hIaGtppwHBERgYKCAmzYsEFruFm7di1WrVrV8nNtbS18fbt+80HqWaoaqrA/Yz+uV13XOh7YKxCzQ2ajl3UvrePdzcPDA8XpRe0ec2tlUnfvH9Ued3d33JQpIFOoYGuhfc6cSi2gVKqErY0NiuoUWo+55da4Pl+Tvrm7u6OorrTdY2599u7u7rooiUjnDOKy1LPPPov4+HgcO3YMPj4+nb7/mDFjkJmZqXXM0tISDg4Orf4Q3albzfg+TP5Qa7CxNrPGfWH34bHBj+kt2ADAgscW4mKpFCXthIGDWVXwdHfHxIkTdVfYH8ydOxdqAfghu6bNY1KKpSira8TcefPwY4Gs1XLt3xMEAd9l1WLkiOEICQnprpIN3oKFi3CqQIqaRmWbxxzKqsGgAQPaPUtOZMz0Gm4EQcDKlSvxzTff4OjRowgICLijx7lw4QI8PT27uDqi1spkZfjswmf4Lus7rc34BroNxIpRKzDUY+gdTWZVq9U4fPgwHnvsMUyeNAn3338/duzYgcbGxk4/1sMPPwxvLy+8c7oUVQ2aX3KHr1fj8PUarP7rX2Fubt7px+8qXl5eeGzhQnxx+SYulco0xvOq5fjofAXGj4vEG2+8ATMLK7xzqgT1Ta0DjiAI2H25EhdK6rBm7Uu6Kt8gLVmyBLZ2dnjndKlGEBQEAf+7UonkojqseemlHjvpmkyfXldLLV++HLt27cK+fftaXWpydHRsWb2xdu1aFBUVYceOHQCAjRs3wt/fHwMGDIBCocDOnTvx9ttvY8+ePXjggQdu+5xcLUWdpVQr8WPejziZfxIqQfOsgYOlA2YFz0KoS9v9mW6nuLgYsbNjcD71Avr0soGPvQTVcjWu3JDB3c0Ve/fFY8yYMZ16zCtXrmBK1GTUVN3EeF87hLpYQaZQ40SBDJkVMixduhQfffSR3r/gGhoa4Ofni4qKSgxxt0GErz3MxCKcL5Hhp8I6WFlZIT0jEz4+Pjh+/DhiZs2CWN2ESX626ONkiepGFY7ly1BQVY/169dj7dq1en09huDMmTOYOWM6VIpGTPKzQ0AvS9TIVUjKkyGvqh6vvvoqXnvtNX2XSdQpRrMUvK3/VLdt24bFixcDABYvXozc3FwkJSUBAP7xj39gy5YtKCoqgrW1NQYMGIC1a9ciOjq6Q8/JcEOdUVBTgPj0eJTXl2sdH+k1ElMCp8DKrO1drW9HJpNhVPhIlBXk4PlRbhjoZtPyb6OoVoEPkm+goF6Ec8nJHWpU+XtlZWXYvHkztmzejKKSEkgkEkyJisLKZ5/FrFmz9B5sgOazTLt378ZwT1vUylXIutl8psrHwQI+DhY4WyjFiBEjkJKSAgDIzc3Fpk2bsO2zT1F5swoW5uaIvfdePPfccxg3bpw+X4pBKSgowKZNm/DZp5+gvKIS5mZmiJkdg2effU5rI1QiQ2c04UYfGG6oI+RKOX7I+QHJRckQoPlPxNnaGbGhsejj1Oeun+vDDz/Ec8+uxMYZ/vBz1OxYXN+kwguJBZgyew4+37nzjp9HoVDAzMzMoPqa3Lx5E26uLogKcMCKUc2XllXq5vf7VpO+/12txOc/l+PcuXMIDw9vdX+FQgFzc3ODCGmGjO8TmQKj7XNDZAgyKzPxYfKHOFd0TiPYiEVijPMbh2fCn+mSYAMAH3/0IUZ522sNNgBgYy7BjEB7fP3113e1dNfCwsKggg0AvPzyy1CpBTzQz7nlNolY1Kr7cHSwEywkIrz44osa97ewsOAXdgfwfaKexmCWghPpW31TPb7L+g6XblzSOu5l74XY0Fh42Gm27r8b6RmZWDjIqd1jBrnbQnGxHDk5OejVS3+rsLrapUuX0MtKAk/7tve3sjGXILi3FbKzs3VYGREZM4Yb6vEEQcDlsss4lHUI9U31GuPmYnNMCpiEMT5juqUZn0QigULZ/tVhubJ5F2dj2+fodszNzdGkFiAIQrtnFhqV6g7tHUdEBPCyFPVwNY012PXLLuy5tkdrsAlwCsAz4c9grO/YbusyPGHiBJwqqkd7099O5dfC1cW50xOKDd29994LqUKNX8o03/tbSqUKXK+Sc7IwEXUYJxRTjyCTyXDq1CnIZDL4+flh6LChSClOwQ85P0Ch0mx0Z2VmhelB0++4Z01nHDx4ELNmzcILEZ6Y6O+oMZ5b1Yg1Rwux6i8v4q233mq5vaqqCmfPnoVcLkdwcDAGDBjQrXV2B7VaDTsba/jYivH3KD+NbRhUagH/PFWEc8UylN4og4uLi54qNU6CIOD8+fMoKCiAra0tIiMjYWNjo++yiO5IZ76/TescN9EfyGQyvPLKK/j0s89Q++vGrLABvCZ7Y+yMCK2BoL9rf0QHR8POov19jLrKzJkzsWjhQrz3+efIqZIjOtgJ7nYWkCpUOJZTg91XqxAa1r9lQm15eTnWrFmDXV/sRKP8t2AWMWY03vr7ekyePFkndXcFsViM/2z6EE8/tQRrjuThkUEuGOFpB7EIuFLegK8vV+DnG/X4y1/+wmDTSbt378Ybr72Gq2lpLbc5OthjyVNP44033mDIIZPGMzdksmQyGaZMmYqLl37GtIcexz2z7kepKBcp1w8h8/J5lObnYvr06S3N8ewt7BEdHI1+rv10XqtKpcIbb7yBje/+G7V1UlhbmEHepIJYLMZDDz2EDzZtgpOTE8rKyhA5dizKigswO9gB4/o4wNpMjKvlDdiXUY2MygZ89dVuPPjggzp/DXcqIyMDI4YPR0O9DCoBkIgAsUiEJrUAiQgQSSQ4diwJkZGR+i7VaPzrX//C6tWrEe5tj5hgJwT2tkRNowpHc2pwMKsWI8LDcfjIDy3NUomMAfvctIPhpudYs2YN3nv/P3jp46/QK8gDqaWJqJFX/joq4JezPyLz0nksX74c0wdPx7SgaXfVjK8ryGQyJCQkoLi4GA4ODoiJiYGHx2+rsx5++GEk7t+LuEneGiuMVGoB754tRcqNRhQUFsHZ2fmPD2+QxowahaLMy1g/yRvni6U4VyyFIAD9XK0xPdARb50sxU2xHXLz8vW6VYSxuHTpEoYMGYI5/XrjsSGuGpdV0yoa8LekIqz+a+vLnESGjuGmHQw3PUNDQwO8fXwwOvo+DJ4/EderL2pM2FWrVfj+008xd9Ac/Pe9/+qp0o4rKSmBn68vHh/qjJiQ3lqPqWlU4sn4bKx/+x2sXr1axxV23vnz5zFy5Ei8NM4bo33stR6TW92IPx3Kxf/93/8Z1RkpfVm2bBn+98V2bJnlDzOx9vliW8/fwE83xSgoLIKlpfb+SkSGhk38qMdLTk5GFW5CEmGOrKoLGsFGLBKjn8toRHrMxYmEk3qqsnOOHDkCpUqlddLxLY5WZhjuaYuDBw7osLI7d+jQIdhbWWCkV9vzm/ydrBDobIuDBw/qsDLjdXB/Asb52LYZbABgor8DyisqkZqaqsPKiHSHE4rJ5NQ31eNI0RFgMKAy19wR28nKFSM8pqGXlTsyHM6joaFBD1V2XkNDA0QiwNa8/d9JbM3FkMmkOqrq7jQ0NMDGQtKqI7E2duYi1Ne3vVycftPQ0ABb5/Z7AtlZNI/zPSVTxTM3ZDJuNePbdG4TbprfBABUld9oGZeIJRjoGonJfeajl5U7ACD76s8I8PfXR7md5u/vD0FAy8aS2giCgOyaJgQEBumwsjvn7++PCmkjKuub2jxGoVIjr0aBgIAAHVZmvPz9A5B1U7O9we/d+jvkbyR/94k6i+GGTEJNYw2+vPwl/nf1f5A1yeDi4gIfX19k/ZIKQRDgauODKf4LEeY8qqUZX1FOFi6ePIolS57Uc/UdExUVBV9vb8Snt72/1M+l9ci9WY8nlyzRYWV3bt68ebC0tMTBzOo2j0nKrUVNgwKPP/647gozYk8+9RSSi+pQXKc94KjUAvZn1mDC+HEICjKOEEzUWQw3ZNQEQUByUTI+TP4QGZUZrcYmTpiAyqJi5O+/ilEus2Bv8dueTIXX07HhT4vRt28wHnnkEV2XfUckEgleff11nMirxReXytGkaj2P6Gp5Pf790w3cMzbCaHrdODo64s+r/4I91ypxKLOqZUdwoPmzPVtYh08ulOORhx9GSEiIHivtPLVajf379yNm1iz4eHnC18cb8+bNQ1JSUrvdqNsjCAJOnjyJ+Y8+Cj8fb3h7emDG9On49ttvoVQ2X4JdsGAB/P374M0fS1BQI291/4YmNT5ILkVGZQNe+durd/0aiQwVV0uR0aqor0B8ejzya/K1joe5hKEmpQYrn1oJCytrjIqKhr1Tb+SmXcYvP/2IkJBQfP/9d0Z3aj4uLg4vvfQSetlYYIyXDazMxLhWKUdauQxjRo/C/gMHjWYZONAcAlasWIHNmzfD3d4K4Z7WMBOLcLGsEbk36zF7dgx27/7aqHqy1NfXY84DD+C7779HsIsthrlbQS0AP5U0oKCqHgsfewyffvZZp/YKU6vVWL58OT7++GN4OVpjjFfz+3SprBFp5TJMnDAe++IT4ODggOzsbEyfOhVZ2dkY5mWPAEdz1DSqcKZIhiY1sG37dsyfP78b3wGirsel4O1guDF+KrUKpwpO4XjucagElca4nYUdooOj0d+1PwAgLy8PH3/8MeITElBf3wA/X188+eQTmDt3Lqys9NvX5k5du3YNH374IY4cToRCLkdIaBiWLluGmJgYo91c89y5c/joo49w6scTUKvVGDJsGJ55ZjmioqK6fQuMrvbwww8h/ttvsDrCo9VKMEEQkJRbi/+cK8XzL6zChg0bOvyYr776Kt588w08M9IDU4McIf7de3KpVIa3T5di0pRpSNi/H0DzxOKvv/4an336CQry82FnZ4fY++7H008/DT8/v657sUQ6wnDTDoYb41ZUW4T49HjckN3QOj7MYximBU2Dtbnx/JZPpiU9PR1hYWFYOcoDU4OctB7z1eUKfJtRi8Ki4g6dZaurq4Onhwem97HCoqFuWo/5Ma8WG04XIzU1FcOGDbubl0BkkNjnhkyOQqXA91nf45PUT7QGm15WvbBwyELcG3Yvgw3p1fbt2+FobYEJ/m3/5zujrxOUSiW++uqrDj3mnj170NDQgOjgXm0eM9bXHi52Vti2bVunayYyNcZ5/pp6lOyqbCSkJ6CqUXOVkAgiRPhGYKL/RFhILLTcm0i38vPz4edoAQtJ2787OlmZwdXOCvn52ueLaXtMJxtLuNq2vf2ERCxCHwezDj8mkSljuCGD1dDUgMTribhQekHruLutO2JDY+Ht4K3jyojaZmtri1qFut1jVGoBUrkStra2HX7MeoUSTSo1zNsJTXUKocOPSWTKeFmKDI4gCLhafhWbkjdpDTZmYjNEBUTh6RFPM9iQwYmJiUHezfp2my2mFEtR16hATExMhx4zOjoajU1KnClou/N0QY0cGRWyDj8mkSnjhGIyKLXyWhzMPIi0ijSt436OfogNjYWLjYuOKyPqGJVKhaDAAFg13MRrE7xgY956K4TqBiVeOlYE37BBOHP2pw4/7pSoybicfAbrJ3vDxab15Sm5Uo03fixGudoaefkF3AyTTBJXS7WD4cYwCYKA1JJUJF5PhFwl1xi3lFhiSuAUjPQaaXTLgqnnSUlJweRJk2AvUWJ2sCNGeNpCJQBnC+twIKsWZraOOHnqdKc6BBcUFOCeiAhIqyowq689InztYS4W4efSesRn1qBSDnyfmIjIyMhufGVE+sNw0w6GG8NTWV+JhIwE5Fbnah0PdQ7FrJBZcLDk50XG4+rVq3j55XWIj4+HStU8B8fC3BwPPfQQ3vr73++o10xxcTHWrVuHr77chUZ58/YKIpEIs2ZF480338LQoUO78iUQGRSGm3Yw3BgOlVqFM4VnkJSbBKVac/duW3NbzAyeiQGuA3i2hoxWcXExrly5ArFYjCFDhsDF5e4vqVZVVSE1NRUqlQr9+vWDr69vF1RKZNgYbtrBcGMYSupKsC99H0qlpVrHh3oMxbSgabAxt9FxZUREZIg68/3NpeCkU02qJiTlJuFM4RmoBc3lsk5WTpgdMhtBvblbMRER3RmGG9KZnKocJGQk4GbDTY0xEUQY7TMakwMmsxkfERHdFYYb6naNykYkXk9Eakmq1nE3WzfEhsbCx8FHx5UREZEpYrihbnWt/BoOZh5EnaJOY0wikmB8n/GI9IuERCzRcm+6ncbGRigUCtjb23PSNRHRr9ihmLpFnbwOuy/vxu4ru7UGG18HXywbuQwT/Ccw2HSSWq3Grl27MDZiDKytreHo6AgPdze88soruHFD+27pREQ9iV7DTVxcHMLDw2Fvbw83Nzfcd999SE9Pv+39jh8/jhEjRsDKygqBgYHYvHmzDqqljrjVjG9T8iZcq7imMW4hsUB0cDSeGPYEXG1d9VChcVMqlXjooXmYP38+6vOuYMUoD6we64WRTkr8+59vY9jQIbh2TfN9JyLqSfR6Wer48eNYsWIFwsPDoVQqsW7dOkybNg1Xr15tc/O3nJwcREdH46mnnsLOnTtx6tQpLF++HK6urpgzZ46OXwH93s2Gm0hIT0BOdY7W8eDewYgJiYGjlaOOKzMdr732Gr795husifRGhK99y+3j+jhg3gAlXj1ejJkzpiM9I5Mt+ImoxzKoPjfl5eVwc3PD8ePHMX78eK3HvPjii4iPj2/12+myZcvw888/48yZM7d9Dva56XpqQY0zBc3N+JrUTRrjNuY2mNF3Bga5DeK8kLtQX18PL08PTPIyx+PD3LQek18jx7MHc7Br1y488sgjOq6QiKj7dOb726Dm3NTU1AAAevfu3eYxZ86cwbRp01rdNn36dKSkpKCpSfOLlbpXqbQUn6R+gsPZh7UGm8Hug7Fy1EoMdh/MYHOXvvvuO9TU1mFmsFObx/g5WmKAux127fpCd4URERkYg1ktJQgCVq1ahcjISAwcOLDN40pLS+Hu7t7qNnd3dyiVSlRUVMDT07PVmFwuh1z+20aMtbW1XVt4D9WkasLxvOM4XXBaazM+R0tHxITEINg5WA/Vmaby8nKIRIC7rXm7x3nYSFBWqr3zMxFRT2Aw4WblypW4dOkSTp48edtj/3gG4NaVNW1nBuLi4vD66693TZEEAMitzkVCegIqGyo1xkQQYZT3KEwOmAxLM8756Eq9e/eGIAAV9Uq4thNwyhtU8OqC/YuIiIyVQVyWevbZZxEfH49jx47Bx6f9Rm4eHh4o/cNvpWVlZTAzM4Ozs7PG8WvXrkVNTU3Ln4KCgi6tvSdpVDZif8Z+bL+4XWuwcbVxxRPDnsDM4JkMNt1gxowZsLWxQeL16jaPKa5T4FKpFA8/zPk2RNRz6fXMjSAIePbZZ/Htt98iKSkJAQEBt71PREQEEhISWt2WmJiIkSNHwtxc87dZS0tLrhrpAmkVaTiQcaDNZnzj+oxDpF8kzMQGczLQ5Njb22PpsmX44P33MMDNBkM9Wq8orJOr8O7ZG/Bwd8O8efP0VCURkf7pdbXU8uXLsWvXLuzbtw+hoaEttzs6OsLa2hpA85mXoqIi7NixA0DzUvCBAwdi6dKleOqpp3DmzBksW7YMX375ZYeWgnO1VOdIFVIcyjyEK+VXtI77OPggNjQWbrbaV+9Q15LL5bg3NhZHjhzGKG97jPOzg7WZGFcrGnAkRwqRpTUOH/kBw4cP13epRERdqjPf33oNN22tntm2bRsWL14MAFi8eDFyc3ORlJTUMn78+HG88MILuHLlCry8vPDiiy9i2bJlHXpOhpuOEQQBP9/4Gd9nfY8GZYPGuLnYHFGBURjlPQpikUFc3ewxmpqasHXrVnzwn/dxLa256aW9nR0WP/44Vq1aBX9/f/0WSETUDYwm3OgDw83tVTVUISEjAdlV2VrHg3oFYXbobDhZOem2MGpFEASUlZVBoVDAzc2Nl1+JyKR15vubEySohVpQ46fCn3A056jWnjXWZtaY0XcGe9YYCJFIpNEWgYiIGG7oVzekNxCfHo+iuiKt4wPdBmJm35mwtdC+LQYREZGhYLjp4ZRqJU7kncDJ/JNam/E5WDogJiQGIc4heqiOiIio8xhuerD8mnzEp8ejor5C63i4VzimBE5hzxoiIjIqDDc9kFwpx5HsI0guTtY67mLjgtjQWPg5+um4MiIiorvHcNPDZFRmYH/GftTKNffYEovEiPSLxPg+49mMj4iIjBa/wXoImUKGQ1mHcLnsstZxb3tvxIbGwt2Oq2+IiMi4MdyYOEEQcOnGJXyX9V2bzfgmB0zGaJ/RbMZHREQmgeHGhFU3VmN/xn5k3czSOh7YKxCzQ2ajl3UvHVdGRETUfRhuTJBaUONc0Tn8kP1Dm834pgVNw1CPoWzGR0REJofhxsSUycoQnx6PwtpCreMDXAdgZvBM2FnY6bgyIiIi3WC4MRFKtRIn80/ix7wfoRJUGuP2FvaYFTILYS5heqiOiIhIdxhuTEBBTQHi0+NRXl+udXyE5whMDZoKKzMrHVdGRESkeww3RkyulONozlGcKzoHAZqbuztbO2N26Gz4O/nrvjgiIiI9YbgxUlk3s5CQnoAaeY3GmFgkxljfsZjQZwLMJeZ6qI6IiEh/GG6MTH1TPb7L+g6XblzSOu5p54l7w+6Fh52HjisjIiIyDAw3RkIQBFwuu4xDWYdQ31SvMW4mNsMk/0mI8I1gMz4iIurRGG6MQE1jDfZn7EfmzUyt4wFOAZgdOhu9rXvruDIiIiLDw3BjwARBQHJxMo5kH4FCpdAYtzKzwrSgaRjmMYzN+IiIiH7FcGOgymXliE+PR0Ftgdbxfi79EB0cDXtLex1XRkREZNgYbgyMSq3CyfyTOJF3QmszPjsLO0QHR6O/a389VEdERGT4GG4MSGFtIeLT41EmK9M6PtxzOKYGToW1ubWOKyMiIjIeDDcGQKFS4FjOMZwtPKu1GV9v696YHTIbAb0C9FAdERGRcWG40bPrN68jISMB1Y3VGmNikRgRPhGY6D+RzfiIiIg6iOFGT+qb6pF4PREXSy9qHfew80BsaCy87L10WxgREZGRY7jRMUEQcKX8Cg5lHoKsSaYxbiY2w0T/iYjwiYBELNFDhURERMaN4UaHauW1OJBxAOmV6VrH+zj2QWxoLJxtnHVcGRERkelguNEBQRBwvuQ8Dl8/DLlKrjFuKbHE1KCpGOE5gs34iIiI7hLDTTerqK9AQnoC8mrytI6HuYQhOjgaDpYOOq6MiIjINDHcdBOVWoXTBadxPO84lGqlxrituW1LMz6erSEiIuo6DDfdoLiuGPHp8SiVlmodH+YxDNOCprEZHxERUTcQ6/PJT5w4gdmzZ8PLywsikQh79+5t9/ikpCSIRCKNP2lpabop+DaaVE1IvJ6Iree3ag02vax6YeGQhbg37F4GGyIiom6i1zM3MpkMQ4YMweOPP445c+Z0+H7p6elwcPhtjoqrq2t3lNcp2VXZSEhPQFVjlcaYCCKM8RmDSQGTYCGx0EN1REREPYdew83MmTMxc+bMTt/Pzc0NTk5OXV/QHWhoakDi9URcKL2gddzd1h2xobHwdvDWcWVEREQ9k1HOuRk2bBgaGxvRv39/vPzyy5g0aZLOaxAEAdcqruFg5kFIFVKNcYlIggn+E3CP7z1sxkdERKRDRhVuPD09sWXLFowYMQJyuRyff/45oqKikJSUhPHjx2u9j1wuh1z+W2+Z2trau66jTl6HA5kHkFahfa6Pn6MfYkNj4WLjctfPRURERJ1jVOEmNDQUoaGhLT9HRESgoKAAGzZsaDPcxMXF4fXXX++S5xcEAaklqTicfRiNykaNcQuJBaYGTsVIr5Fc3k1ERKQnel0t1RXGjBmDzMzMNsfXrl2Lmpqalj8FBQV39DyV9ZX478//RUJGgtZgE+IcghXhKxDuHc5gQ0REpEdGdeZGmwsXLsDT07PNcUtLS1haWt7x46sFNU4XnEZSblKbzfhmBs/EANcBDDVEREQGQK/hRiqVIisrq+XnnJwcXLx4Eb1794afnx/Wrl2LoqIi7NixAwCwceNG+Pv7Y8CAAVAoFNi5cyf27NmDPXv2dEt9JXUl2Je+r81mfEPch2B63+mwMbfplucnIiKiztNruElJSWm10mnVqlUAgEWLFmH79u0oKSlBfn5+y7hCocDq1atRVFQEa2trDBgwAAcOHEB0dHSX1tWkakJSbhLOFJ6BWlBrjDtZOSEmJAZ9e/ft0uclIiKiuycSBEHQdxG6VFtbC0dHR9TU1LRqBHhLbnUu4tPjcbPhpsaYCCKM9hmNyQGT2YyPiIhIh273/f17Rj/npqs0KhuReD0RqSWpWsfdbN0QGxoLHwcfHVdGREREncFwAyCtIg0HMg6gTlGnMSYRSTC+z3hE+kWyGR8REZER6NHhRqqQ4mDmQVwtv6p13NfBF7GhsXC11f/eVURERNQxPTbc/Fz6M06VnWqzGV9UQBTCvcMhFhl9KyAiIqIepceGm4OZB2Fpq9n/Jrh3MGJCYuBo5aiHqoiIiOhu9dhw80c25jaY0XcGBrkNYjM+IiIiI8ZwA2CQ2yDM6DsDtha2+i6FiIiI7lKPDTcikQiOlo6ICYlBsHOwvsshIiKiLtJjw82D/R/EAJ8BsDS7832niIiIyPD02KVAfXv3ZbAhIiIyQT023BAREZFpYrghIiIik8JwQ0RERCaF4YaIiIhMCsMNERERmRSGGyIiIjIpDDdERERkUhhuiIiIyKQw3BAREZFJYbghIiIik8JwQ0RERCaF4YaIiIhMCsMNERERmRSGGyIiIjIpDDdERERkUhhuiIiIyKQw3BAREZFJYbghIiIik8JwQ0RERCaF4YaIiIhMCsMNERERmRS9hpsTJ05g9uzZ8PLygkgkwt69e297n+PHj2PEiBGwsrJCYGAgNm/e3P2FEhERkdHQa7iRyWQYMmQIPvjggw4dn5OTg+joaIwbNw4XLlzASy+9hOeeew579uzp5kqJiIjIWJjp88lnzpyJmTNndvj4zZs3w8/PDxs3bgQA9OvXDykpKdiwYQPmzJnTTVUSERGRMTGqOTdnzpzBtGnTWt02ffp0pKSkoKmpSU9VERERkSHR65mbziotLYW7u3ur29zd3aFUKlFRUQFPT0+N+8jlcsjl8pafa2pqAAC1tbXdWywRERF1mVvf24Ig3PZYowo3ACASiVr9fOtF/vH2W+Li4vD6669r3O7r69v1xREREVG3qqurg6OjY7vHGFW48fDwQGlpaavbysrKYGZmBmdnZ633Wbt2LVatWtXys1qtxs2bN+Hs7NxmIKLmhOzr64uCggI4ODjouxxqAz8n48DPyTjwczJsgiCgrq4OXl5etz3WqMJNREQEEhISWt2WmJiIkSNHwtzcXOt9LC0tYWlp2eo2Jyen7irR5Dg4OPAfuRHg52Qc+DkZB35Ohut2Z2xu0euEYqlUiosXL+LixYsAmpd6X7x4Efn5+QCaz7osXLiw5fhly5YhLy8Pq1atwrVr1/DZZ5/h008/xerVq/VRPhERERkgvZ65SUlJwaRJk1p+vnX5aNGiRdi+fTtKSkpagg4ABAQE4ODBg3jhhRewadMmeHl54f333+cycCIiImqh13AzceLEdmc9b9++XeO2CRMmIDU1tRurIqD5ct6rr76qcUmPDAs/J+PAz8k48HMyHSKhI2uqiIiIiIyEUTXxIyIiIrodhhsiIiIyKQw3REREZFIYboiIiMikMNxQu+Li4iASifD888/ruxT6nddeew0ikajVHw8PD32XRVoUFRVhwYIFcHZ2ho2NDYYOHYrz58/ruyz6lb+/v8a/JZFIhBUrVui7NLoLRtWhmHQrOTkZW7ZsweDBg/VdCmkxYMAAHDlypOVniUSix2pIm6qqKtxzzz2YNGkSDh06BDc3N1y/fp1d0g1IcnIyVCpVy8+XL1/G1KlTMXfuXD1WRXeL4Ya0kkqlmD9/PrZu3Yq33npL3+WQFmZmZjxbY+Deeecd+Pr6Ytu2bS23+fv7668g0uDq6trq57fffhtBQUGYMGGCniqirsDLUqTVihUrMGvWLEyZMkXfpVAbMjMz4eXlhYCAADz88MPIzs7Wd0n0B/Hx8Rg5ciTmzp0LNzc3DBs2DFu3btV3WdQGhUKBnTt34oknnuDGykaO4YY0fPXVV0hNTUVcXJy+S6E2jB49Gjt27MD333+PrVu3orS0FGPHjkVlZaW+S6Pfyc7OxkcffYTg4GB8//33WLZsGZ577jns2LFD36WRFnv37kV1dTUWL16s71LoLrFDMbVSUFCAkSNHIjExEUOGDAHQvE3G0KFDsXHjRv0WR22SyWQICgrCX//615Y92kj/LCwsMHLkSJw+fbrltueeew7Jyck4c+aMHisjbaZPnw4LCwskJCTouxS6SzxzQ62cP38eZWVlGDFiBMzMzGBmZobjx4/j/fffh5mZWauJd2Q4bG1tMWjQIGRmZuq7FPodT09P9O/fv9Vt/fr1a7UhMBmGvLw8HDlyBEuWLNF3KdQFOKGYWomKisIvv/zS6rbHH38cYWFhePHFF7kix0DJ5XJcu3YN48aN03cp9Dv33HMP0tPTW92WkZGBPn366Kkiasu2bdvg5uaGWbNm6bsU6gIMN9SKvb09Bg4c2Oo2W1tbODs7a9xO+rN69WrMnj0bfn5+KCsrw1tvvYXa2losWrRI36XR77zwwgsYO3Ys1q9fj3nz5uHcuXPYsmULtmzZou/S6HfUajW2bduGRYsWwcyMX4umgJ8ikREqLCzEI488goqKCri6umLMmDE4e/YszwgYmPDwcHz77bdYu3Yt3njjDQQEBGDjxo2YP3++vkuj3zly5Ajy8/PxxBNP6LsU6iKcUExEREQmhROKiYiIyKQw3BAREZFJYbghIiIik8JwQ0RERCaF4YaIiIhMCsMNERERmRSGGyIiIjIpDDdERERkUhhuiMiklJSU4NFHH0VoaCjEYjGef/55fZdERDrGcENEJkUul8PV1RXr1q3DkCFD9F0OEekBww0RGZXy8nJ4eHhg/fr1Lbf99NNPsLCwQGJiIvz9/fHee+9h4cKFcHR01GOlRKQv3DiTiIyKq6srPvvsM9x3332YNm0awsLCsGDBAixfvhzTpk3Td3lEZAAYbojI6ERHR+Opp57C/PnzER4eDisrK7z99tv6LouIDAQvSxGRUdqwYQOUSiW+/vprfPHFF7CystJ3SURkIBhuiMgoZWdno7i4GGq1Gnl5efouh4gMCC9LEZHRUSgUmD9/Ph566CGEhYXhySefxC+//AJ3d3d9l0ZEBoDhhoiMzrp161BTU4P3338fdnZ2OHToEJ588kns378fAHDx4kUAgFQqRXl5OS5evAgLCwv0799fj1UTka6IBEEQ9F0EEVFHJSUlYerUqTh27BgiIyMBAPn5+Rg8eDDi4uLwzDPPQCQSadyvT58+yM3N1XG1RKQPDDdERERkUjihmIiIiEwKww0RERGZFIYbIiIiMikMN0RERGRSGG6IiIjIpDDcEBERkUlhuCEiIiKTwnBDREREJoXhhoiIiEwKww0RERGZFIYbIiIiMikMN0RERGRS/h+CeTAVplXjOwAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_decision_boundary(...., ...., ...., title=\"Linear Classification Decision Boundary\")" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.11.5" } }, "nbformat": 4, "nbformat_minor": 4 }